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*2 = 0 for o.
-1/4, 0
Let j = -191 - -191. Let r(x) be the third derivative of -1/90*x**5 + 0 + 2/9*x**3 - 1/36*x**4 + j*x - 2*x**2. Determine p so that r(p) = 0.
-2, 1
Let y(c) be the second derivative of -c**7/21 - 2*c**6/9 - 13*c**5/90 + 10*c**4/27 - 4*c**3/27 + 19*c. Factor y(b).
-2*b*(b + 2)**2*(3*b - 1)**2/9
Let x(l) be the first derivative of 0*l - 5/24*l**4 + 0*l**2 + 11/3*l**3 - 1/8*l**5 - 1/36*l**6 - 2. Let s(m) be the third derivative of x(m). Factor s(h).
-5*(h + 1)*(2*h + 1)
Solve 1/5*s**3 + 207/5*s**2 + 14283/5*s + 328509/5 = 0 for s.
-69
Let h(k) be the second derivative of -k**8/2240 - 5*k**4/6 - 6*k. Let n(x) be the third derivative of h(x). Factor n(g).
-3*g**3
Factor 4*n + 46/5*n**2 + 0 - 2*n**3.
-2*n*(n - 5)*(5*n + 2)/5
Suppose 5*b - 5*f - 5 = 40, -b + 4*f - 6 = 0. Suppose -m + b = 6*m. Solve -1/2*x + 1/2*x**m + 9/2*x**3 + 2*x**5 + 11/2*x**4 + 0 = 0.
-1, 0, 1/4
Let k(h) be the first derivative of 1/10*h - 1/30*h**3 + 11 + 0*h**2. Factor k(s).
-(s - 1)*(s + 1)/10
Let c = -19 + 28. Suppose 0 = 5*g - c*g + 16. Factor 4*i**2 - g - i**2 - 3*i - 2.
3*(i - 2)*(i + 1)
Suppose -2*d = -5*t - 269, 3*d - t + 239 = 5*d. Let l = d + -119. Factor 0 + 1/3*i**l + 4/3*i - 4/3*i**2.
i*(i - 2)**2/3
Solve 2/3*k**5 + 9826/3*k**2 + 0 + 0*k + 34*k**4 + 578*k**3 = 0.
-17, 0
Let s(h) = -h**2 + 52*h + 4802. Let p be s(100). Factor 2/9*w**3 + 16/3*w + 22/9*w**p - 8.
2*(w - 1)*(w + 6)**2/9
Let r(x) be the first derivative of -x**6/24 + x**5/20 + x**4/2 - x**3 - 24. Determine s so that r(s) = 0.
-3, 0, 2
Let u be (-6)/(1*4/(-36)). Determine p, given that 49*p**2 - 10*p + 3*p**3 - u*p**2 + 2*p**3 = 0.
-1, 0, 2
Let m(d) be the third derivative of d**6/900 - 8*d**5/225 + 77*d**4/180 - 98*d**3/45 - 108*d**2. Factor m(s).
2*(s - 7)**2*(s - 2)/15
Let j(z) be the first derivative of z**7/840 + z**6/72 + z**5/40 - 3*z**4/8 + 26*z**3/3 - 22. Let y(d) be the third derivative of j(d). Factor y(u).
(u - 1)*(u + 3)**2
Let l be (-2)/(-12) + 5/(0 + -30). Let j(v) be the second derivative of -5/8*v**4 + 0*v**2 + l - 6*v - 1/2*v**3. Factor j(y).
-3*y*(5*y + 2)/2
Let n(m) be the third derivative of -m**6/40 + 33*m**5/20 + 69*m**4/8 + 35*m**3/2 + 17*m**2 + 3. Factor n(s).
-3*(s - 35)*(s + 1)**2
Let j(u) be the third derivative of u**7/210 + u**6/8 + 13*u**5/20 + 37*u**4/24 + 2*u**3 - 5*u**2. Find g such that j(g) = 0.
-12, -1
Suppose -3*i - 7*i + 6*i = 2*i. Factor i + 3/8*t**2 - 3/4*t.
3*t*(t - 2)/8
Let a(k) be the second derivative of k**7/126 + 13*k**6/90 + 19*k**5/20 + 103*k**4/36 + 41*k**3/9 + 4*k**2 + 213*k. Solve a(f) = 0 for f.
-6, -4, -1
Let g(d) be the second derivative of 0 - 8*d + 0*d**2 + 2/3*d**3 + 0*d**6 + 0*d**4 + 2/21*d**7 - 2/5*d**5. Factor g(z).
4*z*(z - 1)**2*(z + 1)**2
Let w = -236/43 + 198283/36120. Let l(u) be the third derivative of 0*u**3 + 0*u**4 + 0*u - u**2 - 1/210*u**5 + 0 - w*u**6. Factor l(t).
-t**2*(t + 2)/7
Suppose 4*v - 5*v - 4*g + 3 = 0, -2*v - 2*g = -12. Factor 5*n**5 + 10*n**3 - 10*n**2 + 19*n**4 - 16*n**4 - 15*n + v*n**4 - 5 + 5*n**4.
5*(n - 1)*(n + 1)**4
Let x = -4482 + 4482. Factor -5*g + x - 1/2*g**2.
-g*(g + 10)/2
Suppose -161*s = -71*s. Factor s + 2/9*z**2 + 1/9*z + 1/9*z**3.
z*(z + 1)**2/9
Let c be 8/40 - (-218)/10. Suppose 4*p - 2 = -0*p + 2*m, p - 5*m = -c. Suppose -5*w**p + 6*w**3 + 2*w + 2*w + 4*w**2 = 0. What is w?
-2, 0
Let o(c) be the third derivative of 0 + 1/15*c**5 - 1/3*c**4 - 5*c**2 + 0*c - 2*c**3. Factor o(n).
4*(n - 3)*(n + 1)
Let j be (3*(-4)/16)/((-172)/32 + 5). Find v such that 3/2*v**3 + 0 + 3*v - 9/2*v**j = 0.
0, 1, 2
Factor -405*y + 6*y - 3*y**3 + 160*y**2 + 44*y**2 + 119 + 79.
-3*(y - 66)*(y - 1)**2
Let j(x) be the first derivative of -2*x**5/5 + 5*x**4/2 - 4*x**3 - 4*x**2 + 16*x + 220. Factor j(i).
-2*(i - 2)**3*(i + 1)
Let h be (2*-11)/(6/(-18)). Let 184*a**3 + 35*a**5 + h*a**5 - 8*a**5 + 16*a - 128*a**2 + 288*a**4 - 12*a**5 = 0. Calculate a.
-2, 0, 2/9
Let y be (-3)/5*(-25)/5. Suppose -3*o = -5*k - 58, y = -2*k - 1. Find j, given that 2*j - o*j**3 - j**2 + 2*j**4 - 3*j**2 + 8*j**5 + 6*j + 1 + 1 = 0.
-1, -1/4, 1
Determine w, given that -10/3*w**4 + 0 - 4/3*w - 6*w**3 - 2/3*w**5 - 14/3*w**2 = 0.
-2, -1, 0
Suppose -6 = -5*b + 2*b. Factor -4*z + 7*z**2 - 5 - 9*z**3 + 5 + 5*z**b.
-z*(3*z - 2)**2
Suppose -21 = -4*q + 3*n, 0 = -3*q + 3*n + 19 - 1. Factor 9*u + u - 10*u + 3*u**q + 9*u**4.
3*u**3*(3*u + 1)
Let f(u) = u**3 - 15*u**2 - 17*u - 10. Let r be f(16). Let s be -3 - (-3)/((-18)/r). Factor -s*i**4 + 1/3*i + 1/3*i**5 - 4/3*i**2 + 2*i**3 + 0.
i*(i - 1)**4/3
Factor -1/2*w + 2/3*w**2 - 3 + 1/6*w**3.
(w - 2)*(w + 3)**2/6
Find y, given that -28369*y**3 + 12*y**5 - 84*y**2 - 1 + 241*y**4 + 104*y**4 + 1 + 28618*y**3 = 0.
-28, -1, 0, 1/4
Solve 5*s**2 - 633 + 578 - 18*s + 68*s = 0.
-11, 1
Suppose 7*d - 47 - 16 = 0. Let -3*a**2 + d*a + 6*a - 20*a - 2*a**2 = 0. Calculate a.
-1, 0
Let f(h) = -h**2 + h + 1. Let p(k) = 35*k**3 + 134*k**2 + 61*k - 34. Let x(j) = -4*f(j) - p(j). Factor x(q).
-5*(q + 1)*(q + 3)*(7*q - 2)
Let r = -18 + 29. What is y in 12*y + 28*y**3 - 14*y**3 + 15*y**2 - r*y**3 = 0?
-4, -1, 0
Let g = 14 + -9. Factor 14*d - d**2 - g*d - 5*d.
-d*(d - 4)
Solve 170/13*l**3 - 300/13*l**2 + 2/13*l**5 + 432/13 - 72/13*l - 32/13*l**4 = 0.
-1, 2, 3, 6
Let r(v) be the second derivative of -v**6/50 - 3*v**5/50 - v**4/20 + 4*v - 12. Factor r(q).
-3*q**2*(q + 1)**2/5
Let a(i) be the second derivative of i**4/6 - 126*i**3 + 35721*i**2 - 166*i. What is q in a(q) = 0?
189
Let f(m) = -9*m**2 + 12*m + 27. Let p(c) = 28*c**2 - 37*c - 78. Let b(s) = 8*f(s) + 3*p(s). Factor b(d).
3*(d - 2)*(4*d + 3)
Let t be -2*25/10 + 9. Let x(n) be the third derivative of -1/270*n**6 + 0 + 0*n + 1/270*n**5 + 1/945*n**7 + 0*n**t + 2*n**2 + 0*n**3. Solve x(v) = 0.
0, 1
Let g(l) be the third derivative of -3*l**8/224 - l**7/10 - 3*l**6/10 - 9*l**5/20 - 5*l**4/16 - l**2 - 7*l. Let g(w) = 0. Calculate w.
-5/3, -1, 0
Suppose -34*z**3 + 96/5*z**4 - 2*z**5 - 484/5*z**2 + 80 + 168*z = 0. What is z?
-2, -2/5, 2, 5
Let h be ((-10)/6)/((-15)/42) + -2 + -2. Suppose -2/3*d - 4/3 - h*d**4 + 2/3*d**3 + 2*d**2 = 0. Calculate d.
-1, 1, 2
Solve -73*l**4 + 216*l**2 - 23*l**4 - 172*l + 45 - 21 - 25*l**5 + 380*l**3 - 39*l**5 = 0 for l.
-3, -1, 1/4, 2
Suppose -2*b = -35 + 5. Let q be 10/12 + b/(-90). Find c such that 4/3*c - 2/3*c**4 - 2*c**3 + 2/3*c**2 + q*c**5 + 0 = 0.
-1, 0, 1, 2
Let p(r) be the second derivative of -4*r**2 - 1/2*r**4 + 0 - 12*r + 4*r**3 - 1/2*r**5. Factor p(h).
-2*(h - 1)*(h + 2)*(5*h - 2)
Let x(z) be the third derivative of 1/15*z**4 - 1/5*z**5 + 0*z**3 - z**2 + 0*z + 0. Factor x(g).
-4*g*(15*g - 2)/5
Let r(l) be the third derivative of -l**8/2240 - l**7/280 - l**6/120 - l**4/6 - 30*l**2. Let u(o) be the second derivative of r(o). Factor u(v).
-3*v*(v + 1)*(v + 2)
Let q(g) = -2*g**2 - 109*g - 1468. Let x be q(-30). Determine l so that 12/5*l**x - 8/5*l + 2/5*l**4 - 8/5*l**3 + 2/5 = 0.
1
Let j = 12 + -9. Solve -2*h**2 - 28*h + 3*h**3 + 28*h - h**j = 0 for h.
0, 1
Let q be 10 + 116*17/(-204). Factor -4/3*o**2 - q*o**3 - 2/3 - 5/3*o.
-(o + 1)**2*(o + 2)/3
Let w(r) be the second derivative of r**6/15 + r**5/5 - 2*r**3/3 - r**2 - 16*r + 5. What is v in w(v) = 0?
-1, 1
Suppose 2450*q - 2447*q - 18 = 0. Let g(w) be the first derivative of -1/6*w**2 + 0*w**5 + 1/6*w**4 + 0*w**3 + 0*w - 1/18*w**q - 1. Factor g(c).
-c*(c - 1)**2*(c + 1)**2/3
Let g(d) be the second derivative of -d**6/20 - 9*d**5/40 + d**4/2 + 3*d**3 + 2*d - 17. Suppose g(a) = 0. Calculate a.
-3, -2, 0, 2
Let s(i) be the third derivative of i**8/168 - 2*i**7/35 + i**6/15 + 4*i**5/5 - 8*i**4/3 - 11*i**2 - 27. Factor s(b).
2*b*(b - 4)*(b - 2)**2*(b + 2)
Let g(y) = -5*y**3 + 38*y**2 + 67*y + 36. Let v(h) = h**3 - h**2 - h - 1. Let w(s) = -5*g(s) - 30*v(s). Let w(t) = 0. Calculate t.
-30, -1
Let v(d) = d**2 + 2*d - 25. Let y be v(-11). Find h such that 73*h**2 - y*h**2 + h**4 + h**3 - h**5 - 3*h + 3*h = 0.
-1, 0, 1
Suppose -20 = u - 3*m - 4, 5*u = 3*m - 56. Let h = -6 - u. Determine d, given that -3*d**2 - 24*d**3 + d**4 + 2*d**h + 24*d**3 = 0.
-1, 0, 1
Suppose 0 = -v - 0 + 5. Let c be 45/3*4/v. Factor -j**2 + 19*j - 16*j + 7*j**2 + c*j**4 - 21*j**3.
3*j*(j - 1)**2*(4*j + 1)
Let h(i) be the first derivative of 363*i**5/5 + 330*i**4 + 312*i**3 - 240*i**2 + 48*i + 47. Solve h(f) = 0 for f.
|
{
"pile_set_name": "DM Mathematics"
}
|
he prime factors of r?
3
Suppose -3*w + 16 = w. Suppose -d - 9 = -w*d. List the prime factors of d.
3
Let y = -31 + 156. List the prime factors of y.
5
Suppose 3*n = q - 6*q + 569, -5*q + 767 = 4*n. What are the prime factors of n?
2, 3, 11
Let s(j) = 26*j**2 + 6*j - 5. What are the prime factors of s(3)?
13, 19
Let w be (7/2)/((-1)/(-24)). Let y = w - 51. List the prime factors of y.
3, 11
Let s(q) = q**3 - q**2 - 2*q + 2. Let i be s(2). Suppose -a + 72 = 4*z, i*z + 5*a + 14 = 32. List the prime factors of z.
19
Let o(a) be the first derivative of -a**3 + 5*a**2 + 5*a + 1. Let w(l) = -2*l**2 + 5*l + 3. Let s(d) = 3*o(d) - 5*w(d). List the prime factors of s(-6).
2, 3
What are the prime factors of (-6)/(-4) + (-3438)/(-36)?
97
Let b be 16/6*(2 - -1). Let p be 3/6*-1*-38. Let q = p - b. What are the prime factors of q?
11
Let b(h) = 14*h. Let z be b(1). Suppose -z = g + 5*x, 2*g + 28 = -2*x + x. Let t = g + 25. What are the prime factors of t?
11
Let c(p) = -p + 1. Let b be c(-4). Let q be 37/b + 4/(-10). Let g(s) = s**2 - 8*s + 9. List the prime factors of g(q).
2
List the prime factors of -2*-4*1 + 4 + -6.
2, 3
Suppose -4*a + 52 = -3*a. Suppose -m - a = m. List the prime factors of m/(-6) + (-4)/12.
2
Suppose -5*t = -340 + 80. Suppose h + 0*h = 2*n + 16, -4*h = -2*n - t. What are the prime factors of h?
2, 3
Suppose -k + 0*k = 2. Let g(x) = -2. Let o(h) = h - 3. Let b(s) = k*g(s) + 3*o(s). List the prime factors of b(4).
7
What are the prime factors of (-1)/((7/(-28))/((-83)/(-4)))?
83
Let b = -4 + 6. Suppose 2*q - 22 = -3*z, b*z = -0*z + 4*q - 12. List the prime factors of z.
2
Suppose -2*n = -4*x - 12, 38 = -2*n + 7*n - 2*x. Suppose -g + n = g. Suppose -15 = -g*p + 37. What are the prime factors of p?
13
Suppose 0*d - d = -3. Suppose 1 = d*y - 2*y. Let l(o) = 17*o**2. What are the prime factors of l(y)?
17
Suppose -5*c + 927 = 337. What are the prime factors of c?
2, 59
Suppose 0 = 3*m - 2*m - 14. Let t = m - 0. List the prime factors of t.
2, 7
Suppose p + 2 - 4 = 0. Suppose -p*n - 2*n + 52 = 0. List the prime factors of n.
13
Let p = 3 + -2. Suppose 13 = 3*t + p. Suppose -t*h + 27 = -13. What are the prime factors of h?
2, 5
Let c(x) = 11*x**2 + 5*x. List the prime factors of c(5).
2, 3, 5
Let t(o) = -2*o + 8. Let r be t(7). Let p(v) = v**3 + 7*v**2 + 4*v - 5. What are the prime factors of p(r)?
7
Let p(s) = s**3 - 5*s**2 - 7*s + 7. Let j be p(6). Let f(q) = 48*q**3 + q**2. What are the prime factors of f(j)?
7
Suppose -5*s + 5*g + 73 = 4*g, 2*s - 22 = 4*g. What are the prime factors of s?
3, 5
Let m be 2 - (-6)/9*3. Let x = m - -6. List the prime factors of x.
2, 5
Suppose -2*c = 5*q - 38, -4*c = 4*q + c - 27. Suppose p - q = -0*p. List the prime factors of p.
2
Let j(l) = -2*l + 15. List the prime factors of j(-11).
37
Let t(j) = -j**3 + 5*j**2 - 5*j + 6. Let w(l) = l**2 - l + 2. Let x be w(0). Let s be 2 + x/(3 - 2). What are the prime factors of t(s)?
2
Suppose -93 - 831 = -6*k. List the prime factors of k.
2, 7, 11
Let a(b) = -b**3 - b**2 - b + 2. Let h(t) = -t**2 + 2*t - 3. Let m be h(0). What are the prime factors of a(m)?
23
Let s(x) be the third derivative of x**6/120 - 3*x**5/20 + x**4/12 - x**3 + 5*x**2. What are the prime factors of s(9)?
2, 3
Suppose -2*f - 96 = -5*f. Suppose 0*j = -4*j + f. What are the prime factors of j?
2
List the prime factors of ((-9)/4)/((-9)/168).
2, 3, 7
Let i be (-92)/(-10)*(2 + 3). Suppose w + 72 = 5*n + 2*w, 3*n = -2*w + i. List the prime factors of n.
2, 7
Suppose -3*f - 23 = 2*q, -2*f + 3*q = -0*f + 24. Let p be 2/9 + (-34)/f. Suppose p*v = 2*v + 26. What are the prime factors of v?
13
Let g(k) = 2*k**2 - 6*k + 1. List the prime factors of g(6).
37
Let o(p) = -10*p - 11. List the prime factors of o(-13).
7, 17
Suppose 0 = -6*p + 3*p. What are the prime factors of -9 + 28 + p/(-1)?
19
Let v be (0 - (3 - 3))/(-2). Suppose 5*f + 4*y = -v*y + 141, 5*y = -2*f + 53. List the prime factors of f.
29
Suppose 102 = 5*z + y, 0 = 2*z + y - 7 - 32. What are the prime factors of z?
3, 7
List the prime factors of 12/66 + 194/22.
3
Suppose -2*v - 1 = -5. Suppose l = -2*x + 5*l, -3*l = -5*x + 28. Suppose -v*s = 2*s - x. What are the prime factors of s?
2
Let d be -1*1*(2 - -8). Let m = d + 21. List the prime factors of m.
11
Suppose -2*h = 3*y - 104, 2*y - 6*y - 2*h + 142 = 0. List the prime factors of y.
2, 19
List the prime factors of 79 - ((-1)/1 - 0).
2, 5
Suppose 2*j = -j + 183. Let z = 94 - j. What are the prime factors of z?
3, 11
Suppose 99 + 50 = 3*l + 5*d, 0 = 3*d + 15. What are the prime factors of l?
2, 29
Suppose -6 = -4*u - 2*d + 12, 3*d - 11 = -2*u. Suppose 4*x - 37 = -2*l - 1, 0 = -5*x + u*l + 71. List the prime factors of x.
11
Let w = 356 - 157. List the prime factors of w.
199
Let v(r) = -2*r**3 - 5*r**2 + 2*r - 1. Let c(f) = -f**2 + f. Let a(x) = 3*c(x) - v(x). List the prime factors of a(2).
3
Let a(g) = 16*g - 1. What are the prime factors of a(1)?
3, 5
Let u(k) = -k**3 + 4*k**2 - 3*k. Let i be u(2). Suppose -6 - 12 = -3*q - 4*m, -3*q + i*m = 0. Suppose q*o = 7*o - 25. List the prime factors of o.
5
Let c = 2 - 3. Let v(p) = -p**3 - p + 17. Let x be v(0). What are the prime factors of x/3 + c/(-3)?
2, 3
Let l(a) = a**3 + 6*a**2 + 2*a + 5. List the prime factors of l(-5).
2, 5
Let a = 26 + -11. Suppose -2*w - a = -3*w. List the prime factors of w.
3, 5
Suppose 0 = o + o - 8. Suppose 3*b - 3*g = 39, -4*b + b + o*g + 35 = 0. What are the prime factors of b?
17
Let u be 1/(((-9)/(-6))/3). Let w = u + 20. What are the prime factors of w?
2, 11
Let m be 2/(-1 - (-3 + 1)). Suppose -4*h + 0*w + 2*w = -448, m*h - 224 = 5*w. Suppose -5*j + 2*b = -b - h, 4*j - 64 = -4*b. List the prime factors of j.
2, 5
Let z(c) = 2*c + 6. Let g be z(-7). Let h = -3 - g. Suppose -4*x + 7 = 4*p - h, 3*x + 5*p = -1. List the prime factors of x.
2
Suppose -4*p - 56 = -2*o, 14 = -5*o - 4*p + 112. What are the prime factors of o?
2, 11
Suppose 98 = 2*b - 4*a + 2, -2*a + 216 = 5*b. What are the prime factors of b?
2, 11
Suppose -4*l = -5*c + 20, -5*c - l - 2 = 3. Suppose 4*s = h - 4*h + 49, -4*s + 2*h + 34 = c. List the prime factors of s.
2, 5
Let d(x) = 23*x + 3. What are the prime factors of d(1)?
2, 13
Suppose 5*t = 2*t. Suppose -8 = g - t. What are the prime factors of (4 + -3)*-1*g?
2
Suppose -2*x - 103 = -5*j, -4*x + x = 12. Let d = j - -10. What are the prime factors of d?
29
Let h(q) = q**3 + 11*q**2 + 9. Let c be h(-11). Let p = 3 + c. What are the prime factors of p?
2, 3
Let r be (-3 - -4) + 21 - -3. Let q = r - 17. What are the prime factors of q?
2
What are the prime factors of 798/28*(-2)/(-3)?
19
List the prime factors of ((-78)/5)/((-39)/130).
2, 13
Let v(j) be the third derivative of j**4/6 + 2*j**3/3 + 2*j**2. Let c be v(-6). Let z = -10 - c. What are the prime factors of z?
2, 5
Suppose -2*h - 1 = -11. Suppose h*a - 64 = 16. What are the prime factors of a?
2
Let k = 106 - 39. Let l = k - 37. List the prime factors of l.
2, 3, 5
Let q(l) = -9*l**2 + l. Let j be q(-1). List the prime factors of (-4)/j - (-118)/5.
2, 3
List the prime factors of (-5)/(-2) - 3/(-6).
3
Let g be ((-16)/10)/(3/(-15)). Let a be 0*(10/5 - 3/1). Suppose t - g - 9 = a. List the prime factors of t.
17
Let s be (4 + -7)/(3/(-4)). Suppose s*q + 17 = 5*q. Suppose -p + q = 5*z + p, -5*z = 5*p - 5. List the prime factors of z.
5
Suppose -3*h - 54 = -3*y, y = -3*y + 3*h + 75. List the prime factors of y.
3, 7
List the prime factors of (-300)/(-44) - (-4)/22.
7
Let h(o) = -o**2 + o - 1. Let u be h(1). Let c = -3 - -14. What are the prime factors of c/(1 - u - 1)?
11
Let v be (9/(-6))/(3/(-6)). Suppose 0 = -v*h + 26 + 58. List the prime factors of h.
2, 7
Suppose 3*l + 356 = 7*l. Suppose 5*d - l = -19. What are the prime factors of d?
2, 7
Suppose 2*w + 10 - 16 = 0. List the prime factors of w.
3
Suppose 3*j - h - 544 = 0, 3*h - 178 = j - 2*j. What are the prime factors of j?
181
Let k = 5 + -6. Let u be (-44)/(-12)*(5 - 2). Let g = u + k. List the prime factors of g.
2, 5
Let b(v) be the first derivative of -v**3/3 - v**2/2 + 4*v + 5. List the prime factors of b(0).
2
Suppose -26 = -4*g + 3*g + m, -2*g - 4*m = -34. Let c be 0 + 0 + (3 - -2). Suppose 0 = -0*t - 3*t - n + g, -c*t + 4*n = -44. What are the prime factors of t?
2
Suppose
|
{
"pile_set_name": "DM Mathematics"
}
|
4636*n**2 - 152796*n - 458496 = 0?
-3, -2, 2, 12736
Factor -3*d**3 + 564*d**2 - 6432*d + 16896.
-3*(d - 176)*(d - 8)*(d - 4)
Factor 4*t**5 - 31088*t**4 + 80340792*t**3 - 68523195440*t**2 - 1331157493148*t.
4*t*(t - 2597)**3*(t + 19)
Factor q**5/5 + 214*q**4/5 + 14257*q**3/5 + 303372*q**2/5.
q**2*(q + 53)**2*(q + 108)/5
Factor f**3 + 5379*f**2 - 5380*f.
f*(f - 1)*(f + 5380)
Let 4*y**2 + 169032*y + 507060 = 0. What is y?
-42255, -3
What is y in -y**5/11 - 37*y**4/11 - 382*y**3/11 - 76*y**2 + 136*y/11 + 1120/11 = 0?
-20, -14, -2, 1
Factor -3*y**2 - 246603*y.
-3*y*(y + 82201)
Let c**3 + 6754*c**2 + 13505*c + 6752 = 0. What is c?
-6752, -1
Factor -t**5/2 - 7993*t**4 - 31936030*t**3 + 63904036*t**2.
-t**2*(t - 2)*(t + 7994)**2/2
Let p**3/2 + 32335*p**2 + 1045552225*p/2 = 0. What is p?
-32335, 0
Factor m**2/2 + 149*m/2 - 37411.
(m - 209)*(m + 358)/2
Factor -2*a**2 - 109664*a - 1503274112.
-2*(a + 27416)**2
Let -12*v**5 + 700*v**4 - 8920*v**3 + 29680*v**2 - 33120*v + 8064 = 0. Calculate v.
1/3, 2, 12, 42
Let w**2 - 132103*w + 264202 = 0. What is w?
2, 132101
Find g, given that -22801*g**3/9 + 42477961*g**2/9 + 562625*g/9 + 207 = 0.
-1/151, 1863
Let -q**2/2 + 3*q/4 + 63 = 0. Calculate q.
-21/2, 12
What is c in -2*c**3/3 + 3130*c**2/3 - 500858*c + 67730898 = 0?
227, 669
Factor -8*f**3 + 65710*f**2 + 147888*f.
-2*f*(f - 8216)*(4*f + 9)
Factor l**4/4 - l**3 - 3*l**2/2 + 9*l - 27/4.
(l - 3)**2*(l - 1)*(l + 3)/4
Factor -m**2/7 + 3674*m/7 - 3144.
-(m - 3668)*(m - 6)/7
Let -3*p**5 - 1959*p**4 - 7797*p**3 - 5829*p**2 + 7800*p + 7788 = 0. Calculate p.
-649, -2, -1, 1
Determine d, given that -3*d**3 - 1035*d**2 + 27*d + 9315 = 0.
-345, -3, 3
Factor 2*y**3 + 234*y**2 + 5160*y + 4928.
2*(y + 1)*(y + 28)*(y + 88)
Let 18*r**2 + 40*r + 8 = 0. What is r?
-2, -2/9
Suppose 47*j**3 + 1285*j**2 + 1654*j + 416 = 0. What is j?
-26, -1, -16/47
Factor -a**2/2 + 47*a - 93/2.
-(a - 93)*(a - 1)/2
Find d such that -4*d**4 + 620*d**3 - 32216*d**2 + 571600*d - 540000 = 0.
1, 50, 54
Factor -3*r**3 - 27195*r**2 - 61644264*r - 61617072.
-3*(r + 1)*(r + 4532)**2
Suppose -2*q**4/11 - 68*q**3/11 + 642*q**2/11 - 1260*q/11 = 0. What is q?
-42, 0, 3, 5
Let 245*v**4/2 - 2542799*v**3/2 + 980745*v**2 - 249074*v + 20756 = 0. What is v?
1/5, 2/7, 10378
Determine x so that -x**3 - 16*x**2 + 2356*x - 4640 = 0.
-58, 2, 40
Determine q so that 2*q**2 + 16*q - 8680 = 0.
-70, 62
Factor h**2/3 + 14903*h/3 + 9934.
(h + 2)*(h + 14901)/3
Factor -o**3 - 1434*o**2 - 512652*o + 1031048.
-(o - 2)*(o + 718)**2
Suppose -108*t**4/11 + 590*t**3/11 - 948*t**2/11 + 168*t/11 + 464/11 = 0. What is t?
-29/54, 2
Factor 2104*l**4/5 + 88364*l**3/5 + 927696*l**2/5 - 1764*l/5.
4*l*(l + 21)**2*(526*l - 1)/5
Factor z**3 - 38*z**2 - 189*z + 882.
(z - 42)*(z - 3)*(z + 7)
Factor -5*x**3 - 980*x**2 + 25680*x - 158400.
-5*(x - 12)**2*(x + 220)
Solve -6*s**3/13 - 1764640*s**2/13 - 129748685278*s/13 - 86498339236/13 = 0 for s.
-147053, -2/3
Solve -25*q**5/3 + 170*q**4 - 1730*q**3/3 - 14900*q**2/3 + 21105*q + 75950/3 = 0 for q.
-5, -1, 7, 62/5
Let 5*p**4 - 1700*p**3 + 5695*p**2 + 345440*p - 349440 = 0. Calculate p.
-13, 1, 16, 336
Factor -5*a**2/6 - 290*a + 190000/3.
-5*(a - 152)*(a + 500)/6
Factor 5*n**2 + 55600*n + 721955.
5*(n + 13)*(n + 11107)
Let z**2 - 1041432*z + 271145152656 = 0. Calculate z.
520716
Determine p so that p**4/4 + 3129*p**3/2 - 6261*p**2 + 6262*p = 0.
-6262, 0, 2
Determine t, given that t**2/6 + 1460131*t/3 + 2131982537161/6 = 0.
-1460131
What is l in 1587*l**4/7 + 966207*l**3/7 + 1758546*l**2/7 - 327756*l/7 + 14568/7 = 0?
-607, -2, 2/23
Let 3*k**4/7 + 81450*k**3/7 + 737772948*k**2/7 + 319345826184*k + 53226266550336/7 = 0. Calculate k.
-9042, -24
Factor -4*z**2 - 127740*z - 510896.
-4*(z + 4)*(z + 31931)
Factor -2*t**3 - 3304*t**2 + 33222*t - 29916.
-2*(t - 9)*(t - 1)*(t + 1662)
Find o such that -5*o**4 - 1600*o**3 + 100985*o**2 + 1600*o - 100980 = 0.
-374, -1, 1, 54
Determine i, given that -4*i**3 - 464*i**2 + 12864*i - 80640 = 0.
-140, 12
Determine v so that -10658*v**2/11 + 1343492*v/11 - 42338402/11 = 0.
4601/73
Suppose -y**3 - 10375*y**2 + 41516*y = 0. What is y?
-10379, 0, 4
Factor 3*r**4 + 103362*r**3 + 890205219*r**2 - 1780720536*r + 890411952.
3*(r - 1)**2*(r + 17228)**2
Factor -3*w**2 - 67818*w + 950040.
-3*(w - 14)*(w + 22620)
Suppose -f**4/2 + 1035*f**3 - 682818*f**2 + 120117092*f + 15546141744 = 0. Calculate f.
-84, 718
Suppose -2*t**4 - 380834*t**3 - 24172549536*t**2 - 511442802828800*t - 511418630660096 = 0. Calculate t.
-63472, -1
Factor -w**3/4 - 47*w**2/4 - 251*w/4 - 205/4.
-(w + 1)*(w + 5)*(w + 41)/4
Factor -33*z**4 + 12447*z**3 - 2262*z**2.
-3*z**2*(z - 377)*(11*z - 2)
Determine u so that 2*u**2/9 + 363132*u + 148347955602 = 0.
-817047
Let 9445*w**3/3 - 642262*w**2/3 + 10918556*w/3 - 2312/3 = 0. Calculate w.
2/9445, 34
Factor -2*r**5/3 - 1188*r**4 - 529254*r**3.
-2*r**3*(r + 891)**2/3
Determine o so that 6*o**3 - 31*o**2/6 = 0.
0, 31/36
Find v, given that 6*v**4 - 14*v**3 - 3026*v**2 + 4046*v - 1012 = 0.
-22, 1/3, 1, 23
Factor -5*b**2 + 1995*b - 103090.
-5*(b - 338)*(b - 61)
Determine q, given that 80*q**4 - 1188*q**3 - 180*q**2 = 0.
-3/20, 0, 15
Let -u**5/4 - 15*u**4/4 + 13*u**3/4 + 767*u**2/4 + 360*u + 175 = 0. Calculate u.
-10, -1, 7
What is d in 2*d**2 - 987200*d + 121820480000 = 0?
246800
Determine z so that 10*z**3/11 - 426*z**2/11 - 882*z/11 - 446/11 = 0.
-1, 223/5
Factor 32*z**3/9 - 98256*z**2 + 2036588950*z/3 - 6108882578/9.
2*(z - 1)*(4*z - 55267)**2/9
Factor d**3/2 - 44953*d**2 + 1010341150*d + 2020862116.
(d - 44954)**2*(d + 2)/2
What is k in -3*k**4 - 2045*k**3 - 19505*k**2 - 11415*k + 6048 = 0?
-672, -9, -1, 1/3
Find x such that -x**5/9 - 938*x**4/9 + 3773*x**3/9 + 1570*x**2/3 = 0.
-942, -1, 0, 5
Solve -2*j**3/3 + 3484*j**2 + 20922*j + 31392 = 0.
-3, 5232
Suppose 2*z**4/13 - 174*z**3/13 - 2576*z**2/13 - 2400*z/13 = 0. What is z?
-12, -1, 0, 100
Determine o so that -3*o**2/2 + 2373*o/2 - 4722 = 0.
4, 787
Factor -3*h**2/2 - 12417*h/2.
-3*h*(h + 4139)/2
Find g, given that 32*g**2/3 - 398*g/3 + 260 = 0.
39/16, 10
Suppose i**5 + 8*i**4 - 171*i**3 + 162*i**2 = 0. Calculate i.
-18, 0, 1, 9
Determine u so that -3*u**3/8 + 1710*u**2 - 204525*u/8 = 0.
0, 15, 4545
Factor -t**4/4 - 947*t**3/4 - 43225*t**2.
-t**2*(t + 247)*(t + 700)/4
Suppose -2*o**2/15 + 2188*o/15 - 12206/5 = 0. Calculate o.
17, 1077
Factor b**2 - 845042*b - 1690088.
(b - 845044)*(b + 2)
Factor -r**3 - 76*r**2 - 1195*r + 1272.
-(r - 1)*(r + 24)*(r + 53)
Let -4*d**2 - 95016*d - 564252516 = 0. Calculate d.
-11877
Let -402*k**4 + 1202*k**3 + 4032*k**2 + 40*k = 0. What is k?
-2, -2/201, 0, 5
Find i such that 27*i**5 + 468*i**4 - 20985*i**3 - 50550*i**2 - 38892*i - 9768 = 0.
-37, -1, -2/3, 22
Suppose 3*b**3 - 90*b**2 + 168*b = 0. What is b?
0, 2, 28
Factor -4*y**2 - 1196128*y - 89420137024.
-4*(y + 149516)**2
Find k such that -k**2/2 - 404*k + 809/2 = 0.
-809, 1
Factor x**3 + 487*x**2 - 4444*x + 9920.
(x - 5)*(x - 4)*(x + 496)
Let 3*c**3 - 627*c**2 + 26892*c - 51300 = 0. What is c?
2, 57, 150
Suppose b**3/3 + 763*b**2/3 - 2296*b/3 + 1532/3 = 0. Calculate b.
-766, 1, 2
Factor c**3 + 3304*c**2 + 3303*c.
c*(c + 1)*(c + 3303)
Suppose 2*y**5/9 + 6746*y**4/9 - 27004*y**3/9 + 40516*y**2/9 - 27014*y/9 + 6754/9 = 0. Calculate y.
-3377, 1
Factor -n**4/3 - 7*n**3 + 198*n**2 - 1976*n/3.
-n*(n - 13)*(n - 4)*(n + 38)/3
Factor -2*k**2/21 + 838960*k/21 - 87981735200/21.
-2*(k - 209740)**2/21
Determine y, given that -4*y**4/9 - 19552*y**3/9 - 23951128*y**2/9 - 47726432*y/3 - 23833924 = 0.
-2441, -3
Let p**2/8 - 36*p - 441/2 = 0. What is p?
-6, 294
Factor -q**2/10 - 72*q - 85079/10.
-(q + 149)*(q + 571)/10
Solve -2*x**4/7 - 90*x**3/7 + 1508*x**2/7 = 0.
-58, 0, 13
Factor o**5 - 1527*o**4 + 4575*o**3 - 4573*o**2 + 1524*o.
o*(o - 1524)*(o - 1)**3
Factor -2*j**2/5 + 1826*j/5 + 2576.
-2*(j - 920)*(j + 7)/5
Solve -p**5/4 + 165*p**4/4 - 2897*p**3/2 - 21906*p**2 + 26048*p + 46464 = 0 for p.
-12, -1, 2, 88
Determine f, given that 4*f**3 - 60*f**2 + 32*f + 336 = 0.
-2, 3, 14
Find z such that 3*z**5/2 - 69*z**4/2 - 87*z**3/2 + 369*z**2/2 - 108*z = 0.
-3, 0, 1, 24
Find x such that 54*x**3 + 7200*x**2 + 472719*x/2 - 487227/2 = 0.
-403/6, 1
What is s in -6*s**4/7 - 76*s**3/7 + 110*s**2 + 552*s/7 - 6840/7 = 0?
-19, -3, 10/3, 6
Let 26*h**5 + 138*h**4 - 168
|
{
"pile_set_name": "DM Mathematics"
}
|
st common factor of 557681446 and 196?
98
Calculate the highest common factor of 166842 and 3302616.
4278
Calculate the greatest common factor of 32 and 129587664.
16
What is the highest common factor of 3291 and 111458491?
1097
What is the highest common divisor of 19825444 and 1385?
277
What is the highest common factor of 248 and 19529008?
248
What is the greatest common divisor of 135120 and 2088?
24
What is the greatest common divisor of 24610092 and 3484?
52
Calculate the highest common divisor of 2268418 and 2.
2
What is the highest common divisor of 40704 and 52656?
48
Calculate the greatest common factor of 6765 and 1624755.
165
Calculate the highest common factor of 47576 and 254448.
152
Calculate the greatest common factor of 67972467 and 1145.
229
What is the greatest common divisor of 3514887 and 232?
29
What is the highest common divisor of 231 and 122463110?
77
What is the highest common divisor of 341700 and 57466800?
5100
What is the greatest common divisor of 7091 and 2519928670?
7091
Calculate the greatest common divisor of 261 and 331267.
29
What is the highest common divisor of 35 and 22094415?
35
What is the highest common divisor of 505 and 9277355?
505
Calculate the highest common factor of 81 and 120976209.
9
Calculate the highest common factor of 2814 and 20610674.
938
Calculate the greatest common factor of 5311609 and 9287.
37
Calculate the highest common divisor of 461241 and 14718.
33
What is the highest common divisor of 512 and 139508800?
64
What is the highest common factor of 6210 and 347829?
69
What is the greatest common divisor of 330 and 81381630?
330
Calculate the highest common divisor of 7463 and 2551468.
439
Calculate the greatest common divisor of 1547 and 756823.
17
What is the greatest common factor of 8649 and 162409?
961
What is the greatest common factor of 178055408 and 4240?
848
Calculate the greatest common divisor of 12096 and 17193792.
1344
What is the highest common factor of 192 and 2510352?
48
What is the highest common factor of 15135 and 11615?
5
What is the greatest common divisor of 5139273 and 461013?
2271
What is the greatest common factor of 2694620 and 210?
10
What is the greatest common factor of 2072310105 and 5067?
1689
Calculate the highest common factor of 1272 and 29136856.
424
What is the greatest common factor of 38 and 16234265?
19
Calculate the highest common divisor of 413 and 8286845.
413
Calculate the highest common factor of 25128675 and 11385.
495
What is the highest common factor of 27939301 and 351?
13
Calculate the greatest common factor of 325 and 52029991.
13
What is the highest common divisor of 2359068 and 276?
12
Calculate the highest common factor of 1173 and 34896819.
69
What is the greatest common divisor of 74522946 and 6?
6
What is the highest common divisor of 32500 and 205400?
1300
Calculate the greatest common divisor of 974 and 8561947.
487
Calculate the greatest common divisor of 267844 and 38396.
116
Calculate the highest common factor of 5784 and 40173736.
1928
What is the greatest common divisor of 193520 and 106864?
16
Calculate the greatest common factor of 169855 and 10115.
35
Calculate the highest common divisor of 22558624 and 157168.
3344
Calculate the greatest common divisor of 15 and 2286885.
15
What is the highest common divisor of 1633831 and 174?
29
What is the greatest common divisor of 350 and 20561716?
14
Calculate the highest common factor of 68 and 22412443.
17
Calculate the highest common factor of 8965 and 6801175.
815
Calculate the greatest common divisor of 19 and 36662875.
19
What is the greatest common factor of 620234523 and 7078?
3539
Calculate the highest common factor of 45694 and 6486502.
682
What is the greatest common factor of 135476870 and 4710?
1570
Calculate the highest common divisor of 2333575 and 1304650.
6725
Calculate the greatest common factor of 380 and 163518620.
20
What is the highest common factor of 4051632 and 3042?
78
What is the greatest common factor of 31561120 and 1280?
160
Calculate the highest common factor of 2424 and 306497832.
2424
What is the highest common factor of 159319040 and 92510?
8410
What is the greatest common factor of 139392862 and 742?
742
What is the greatest common divisor of 14 and 5013156652?
14
Calculate the greatest common divisor of 315 and 2462121.
9
What is the greatest common divisor of 25722 and 498258?
18
Calculate the greatest common factor of 80975 and 16823366.
3239
What is the highest common divisor of 142619321 and 13?
13
What is the greatest common divisor of 73815 and 12771105?
555
What is the greatest common divisor of 100 and 14325475?
25
What is the greatest common factor of 9 and 36460389?
3
What is the greatest common factor of 1830 and 241377?
183
What is the greatest common factor of 3587 and 461176?
17
What is the greatest common divisor of 309626 and 14394688?
5842
What is the greatest common divisor of 5215936 and 1408?
704
Calculate the greatest common factor of 10031640 and 230.
10
What is the greatest common divisor of 1547 and 83981547?
221
Calculate the highest common factor of 342 and 1788606.
18
What is the greatest common factor of 140 and 99856540?
140
What is the highest common factor of 4071 and 2150040?
69
What is the highest common factor of 69575 and 53020?
55
What is the highest common divisor of 30 and 20983620?
30
What is the highest common divisor of 1031578 and 118158?
838
Calculate the highest common divisor of 600682124 and 1036.
1036
Calculate the greatest common factor of 1868 and 1262584002.
934
What is the greatest common divisor of 16400 and 5362472?
328
What is the greatest common divisor of 1160 and 548873720?
1160
Calculate the greatest common factor of 2298826 and 424.
2
Calculate the greatest common divisor of 6932 and 17200.
4
Calculate the highest common divisor of 195026117 and 72059.
3133
Calculate the greatest common factor of 2150 and 89913.
43
Calculate the greatest common factor of 104 and 814450052.
52
What is the greatest common factor of 8976 and 30171702?
1122
What is the highest common factor of 518991 and 121209?
33
Calculate the highest common factor of 188717 and 301033.
653
What is the highest common divisor of 41067 and 40898?
169
What is the greatest common factor of 6256596 and 34161?
177
Calculate the greatest common divisor of 46072460 and 420.
140
What is the highest common factor of 176411 and 568728?
2633
What is the highest common factor of 23463 and 1998513?
297
What is the highest common divisor of 48 and 7740308?
4
Calculate the highest common factor of 18617774 and 730.
146
What is the highest common factor of 100 and 367759900?
100
Calculate the greatest common factor of 34105416 and 72.
24
What is the highest common factor of 29446 and 394?
2
Calculate the greatest common divisor of 149727 and 3037565.
1721
Calculate the highest common divisor of 83350196 and 1258.
74
What is the highest common divisor of 9315 and 17712270?
405
Calculate the highest common divisor of 585 and 151635705.
195
What is the highest common divisor of 146087 and 7137443?
347
Calculate the greatest common divisor of 34412850 and 34574.
586
What is the highest common factor of 3432 and 4309734?
858
What is the greatest common divisor of 15675 and 1643500?
475
Calculate the greatest common factor of 3672 and 6496227.
459
Calculate the greatest common factor of 124 and 82454389.
31
What is the greatest common factor of 1730649 and 51?
3
What is the highest common divisor of 18 and 154523394?
18
What is the highest common divisor of 576238 and 29822?
962
What is the highest common factor of 13295872 and 750832?
2672
Calculate the greatest common divisor of 168820 and 56885.
1835
What is the highest common factor of 6403135 and 1136?
71
Calculate the greatest common divisor of 330 and 205935895.
55
What is the highest common divisor of 819399 and 42?
21
Calculate the highest common factor of 512 and 181549056.
512
What is the highest common divisor of 247178 and 51246?
146
What is the greatest common divisor of 19513 and 53789?
19
What is the highest common factor of 14 and 313682978?
14
Calculate the greatest common divisor of 856 and 104968.
8
Calculate the greatest common divisor of 6903 and 3523598.
767
Calcu
|
{
"pile_set_name": "DM Mathematics"
}
|
4 - q. Put 4, n, -2 in descending order.
4, -2, n
Suppose 0 = 6*d - 0*d. Put -1, 1, d, -2 in ascending order.
-2, -1, d, 1
Let u(k) = k**3 - 9*k**2 + 7*k + 10. Suppose 0 = 2*v - 11 - 5. Let b be u(v). Sort b, -5, 5.
-5, b, 5
Let f = 1.7 + -1.6. Put -4/7, 4, f in decreasing order.
4, f, -4/7
Suppose -24 = -4*n - 4*o - 0*o, 4*n - 3*o - 3 = 0. Suppose 4*h + 15 - n = 0. Sort -2, 0, h in decreasing order.
0, -2, h
Suppose -2*s - 13 = -3*z + 2*z, -4*z + 8 = 3*s. Let b = 2.4 + -2. Sort s, b, 3/2 in descending order.
3/2, b, s
Let a be (-2)/7 + 272/(-28). Let c be ((-2)/(-1))/(4/a). Let u = -1 + -3. Sort c, 1, u in descending order.
1, u, c
Let i = -112.6 - -113. Sort i, -1/16, -0.2 in ascending order.
-0.2, -1/16, i
Let a = -10.2 + 10. Suppose 0 = 3*i + 15, -3*w + 0 - 26 = 4*i. Let l(k) = 2*k - 1. Let t be l(w). Sort t, a, 5 in descending order.
5, a, t
Let w(m) = -m + 1. Let q(i) = i**2 + 3*i + 1. Let g be q(-3). Let r be w(g). Let k(o) = o**3 - o - 1. Let h be k(2). Sort -1, r, h in decreasing order.
h, r, -1
Let d be 3 - (4 + -3 - -3). Let w = -2 + 3. Suppose -r = -2 + w. Put -3, d, r in descending order.
r, d, -3
Suppose 0 = -3*n + 7*n - 4. Suppose 3 = -4*o - n. Sort -3, -4, o.
-4, -3, o
Let x = -1.3 + 0.8. Let y = x + 0.5. Put y, -3/2, 1/6 in descending order.
1/6, y, -3/2
Suppose -3 = 5*t - 4*t. Suppose 4*o = 8*o - 12. Put o, 0, t in descending order.
o, 0, t
Suppose 2*h - 23 = 5*o + 4*h, 28 = -4*o - 4*h. Put -10, o, -4 in increasing order.
-10, -4, o
Let c = -137 + 136.9. Sort 3, c, -1/2, -5 in ascending order.
-5, -1/2, c, 3
Suppose m + 4 + 0 = 0. Put -1, m, 0 in ascending order.
m, -1, 0
Let s(r) = -5*r + 2. Let l be s(-2). Suppose l + 13 = -5*c. Put -2, c, -1 in ascending order.
c, -2, -1
Let o be (2 + 0)*3/(-2). Let p be (28/(-12))/(-7)*3/1. Sort p, 3, o.
o, p, 3
Let m = 63/2 - 32. Suppose 0*i = -3*o + 3*i, o = -i + 4. Suppose 0 = l + o. Sort m, -0.07, l.
l, m, -0.07
Let j = -13.1 + 13. Suppose -9 - 12 = -3*h. Suppose -22 + h = -5*t. Sort t, j, 0.2 in decreasing order.
t, 0.2, j
Let r(t) = -t**3 - 6*t**2 - 11*t - 7. Let f be r(-3). Let h = 2.1 + -2. Sort h, f, -2.
-2, f, h
Let m = 14 + -10. Suppose -m*k = -2*k. Let v = -7 + 3. Put k, v, -3 in increasing order.
v, -3, k
Let m = -0.16 + -0.84. Put 0, m, -3/8 in increasing order.
m, -3/8, 0
Suppose -5*v - p + 2*p - 22 = 0, 5*v = -4*p - 37. Let m be 2/(-5) - (-52)/105. Put -2, v, m in increasing order.
v, -2, m
Let v = 3.2 - 0.2. Put 0.2, v, 0.4 in decreasing order.
v, 0.4, 0.2
Let u = 5 + -2. Suppose 1 = -5*t + 16. Suppose 2*y = 4*h + 6, -y + 0*y + t = 0. Put u, 1, h in ascending order.
h, 1, u
Suppose 6*u + 19 = -11. Suppose -2*z = z. Sort u, 2, z in descending order.
2, z, u
Suppose -5*m + 3*h = -21, -2*h = -2*m - h + 8. Put m, -2/5, 4, -1/2 in descending order.
4, m, -2/5, -1/2
Let d be ((-5)/15)/(2/(-9)). Let u be (-2)/7 + 11/(-35). Let f = 0 + 3. Put u, d, f in decreasing order.
f, d, u
Suppose -30*a + 45 = -35*a. Put -5, 3/2, 5, a in ascending order.
a, -5, 3/2, 5
Let l = -1 - -0.5. Let v = -1 - 2. Put 2/5, l, v in descending order.
2/5, l, v
Let f(w) = w - 70. Suppose 2*a = -2*a. Let b be f(a). Let v be (-2)/6 - b/(-15). Put v, -1, 3 in descending order.
3, -1, v
Let k = -50 - -46. Put 4, k, -1, 5 in descending order.
5, 4, -1, k
Let w be -1*(3/3)/(-1). Let a be 148/52 - 3*w. Put -5, -0.5, a in decreasing order.
a, -0.5, -5
Suppose -w - 67 = 5*j + 119, 3*j + 108 = 3*w. Let l be j/56 + (-2)/(-7). Sort l, -3, 0 in descending order.
0, l, -3
Let o = 0.04 - 4.04. Let j = 5 + o. Let h = j - 1.3. Sort h, -0.2, -2 in descending order.
-0.2, h, -2
Suppose 3*u - 15 = 6*u. Suppose -5*b + 4 = -v, 8 = -2*v + b + 2*b. Put u, v, 3 in ascending order.
u, v, 3
Suppose 4*y = 5*n - 2, -3*y + 8 = 3*n - 2*n. Suppose -y*l - 12 = -5*l. Put 1, l, 0 in increasing order.
0, 1, l
Suppose -25 = -30*a + 25*a. Sort a, -4, 4, -14 in decreasing order.
a, 4, -4, -14
Let a(l) = -l**3 - 5*l**2 - l + 1. Let z be a(-5). Suppose 15 = 3*g, 3*k + 5*g = 2*g. Put z, k, 0 in decreasing order.
z, 0, k
Let z be -2 - ((-3 - -1) + (1 - 5)). Suppose -2*y - 3 = 3*h, 0*h + 5*y = -2*h - 13. Sort 5, z, h in decreasing order.
5, z, h
Suppose 0 = -5*c, -c + 9 = -3*j - 0*c. Put -5, 1, j in decreasing order.
1, j, -5
Suppose c = 2 + 6. Let h be (10/c)/((-2)/8). Suppose 2*m = -4, p - 2 + 10 = -2*m. Sort 3, h, p.
h, p, 3
Let u = 6 - 11. Let m(y) = -y - 10. Let x = 12 + -20. Let q be m(x). Put u, -1, q in increasing order.
u, q, -1
Suppose 6*t + 2 = 2*t - q, -2*q = 4. Let o(h) = -2*h**2 - 7*h - 9. Let b be o(-2). Put t, b, -1 in decreasing order.
t, -1, b
Suppose 12 = -4*w - 0*w. Let g = -10 - w. Let b(h) = -h - 7. Let j be b(g). Put j, -1, 3 in descending order.
3, j, -1
Let h = -0.05 - -0.85. Let c = h + -0.8. Put c, -5, 3 in descending order.
3, c, -5
Let b = -0.1 + 0. Put -1/8, 0.5, b, 0.1 in decreasing order.
0.5, 0.1, b, -1/8
Let h = -0.24 - -0.34. Sort 5, -2/3, 2, h in increasing order.
-2/3, h, 2, 5
Let w = 20 + -18. Let q = -0.4 + 0.7. Let x = q - 0.6. Put 0, w, x in ascending order.
x, 0, w
Let w = -0.39 + -0.01. Let m = w - -1.4. Let s = 0.5 - m. Sort 1, 2/9, s in decreasing order.
1, 2/9, s
Let m be (-12)/(-30) + (-69)/(-15). Sort 3, -2, m in increasing order.
-2, 3, m
Let i = 9 - 9. Put 4, -1/4, i in descending order.
4, i, -1/4
Let t be 8/(-12)*(-6)/4. Let z(k) = k**3 - 6*k**2 - 5. Let p be z(6). Sort t, p, 0.
p, 0, t
Let j = 58 - 58. Put j, -3, 4 in descending order.
4, j, -3
Let y = 4.6 - 5. Let l = y + 0.3. Let c be (6/(-20))/((-6)/(-12)). Put l, c, -2 in descending order.
l, c, -2
Suppose -5*r = -2*q - 3*q, -4*r = 5*q. Suppose q = -y - y + 4. Put 4, y, -2 in ascending order.
-2, y, 4
Let s = 191/190 + -9/10. Let b be (0 + -2)/(-1 + 0). Suppose c - 3 = -k, -k + 5*k = b*c - 12. Put 5, k, s in decreasing order.
5, s, k
Suppose 3*g + 6 = g. Put g, -1, -2 in ascending order.
g, -2, -1
Let l = -0.08 + -0.06. Let g = l + -0.16. Let m = -0.5 - -0.3. Put 5, g, m in descending order.
5, m, g
Suppose -q + 0*t = -t, 2*q + 5 = 3*t. Suppose -3*p - 3*f + 5 = -f, p - f = -5. Put -5, p, q in increasing order.
-5, p, q
Let y = -350.91 - -351. Let t = 1.1 + -0.1. Sort -1, t, y.
-1, y, t
Let h = 17 - 19. Let v be 18/4 + 2/4. Put h, -3, v in ascending order.
-3, h, v
Suppose h = -a + 6*h - 11, 0 = 3*a - h + 5. Put a, 5, 1 in decreasing order.
5, 1, a
Let c(j) = -2*j**3 - j**2 + 2*j - 1. Let m be c(1). Let a be (54/14)/(15/(-20)). Let g = 179/28 + a. Sort m, g, 5.
m, g, 5
Let r(d) = d**2 - 4*d - 5. Let o be r(5). Suppose 4*j - 4*n - 4 = o, 5*n + 20 = -0. Sort 4, 3, j in ascending order.
j, 3, 4
Let q be (2 - -2)/(0 + 1). Suppose -5*j + 0*j = 15. Suppose 0 = 3*a - 2 + 14. Sort q, a, j in increasing order.
a, j, q
Let h = -0.6 - -1. Let s = -0.7 + 0.7. Suppose -4*k = -5 + 1. Put k, s, h in descending order.
k, h, s
Let p be (-15)/(-3)*1*1. Sort -0.1, 4, p.
-0.1, 4, p
Let k = 20 - 20. Suppose k = c + 3 - 6. Put c, 1, 0 in decreasing order.
c, 1, 0
Let m = -2 + -1. Let g = 8 + -5. Put g, -1, m in increasing order.
m, -1, g
Let c(d) = -d**3 - 8*d**2 - 7*d - 1. Let l be c(-7). Let x = 4 - l. Let v = -3.8 + 0.8. Put v, -0.5, x in descending order.
x, -0.5, v
Suppose n - 2*t = 3, -3*t + 6 = 2*n - 4*t. Sort -3, n, 0.
-3, 0, n
Let i = -5 + 4. Let w be i/((-2)/(-2) - 0). Let n be (-1 - 2)*(-4)/(-6). Sort w, n, 4 in ascending order.
n, w, 4
Let d(m) = 6*m**3 + 2*m**2 - 5*m - 6. Let b be d(-1). Sort 1.3, b, 2 in ascending order.
b, 1.3, 2
Let s(q) = -2*q - 1. Let n be s(-3). Put -8, n, -5 in increasing order.
-8, -5, n
Suppose -4 = -5*y - 14. Let t be 1*y + 8 + -2. Let g = 6 - 4. Sort t, -1, g in descending order.
t, g, -1
Let y(f) = f**3 + 3*f**2 + 3. Let v be y(-3). Let u = -3 + v. Sort -3, -5, u.
-5, -3, u
Let u = -31 - -33.6. Let m = u + -3. Let y = 2.96 - -0.04. Sort m, -1/2, y in decreasing order.
y, m, -1/2
Let a be 28/(-4) - (3 + -3) - -3. Put 46, 4, a in increasing order.
a, 4, 46
Let o = 13 - 7. Let c(b) = 7*b - 1 - 7 - 1 - b**2. Let y be c(o). Sort y, 0, 4 in descending order.
4, 0, y
Let s(a) = a**3 - a**2 + 3 - 3*a**2 + 0*a**3 + 2*a. Let f be s(3). Suppose f*h + 5*j - 15 = -4*h, -h + 9 = -4*j. Put -0.2, h, 0.3 in ascending order.
-0.2, 0.3, h
Let v be 9 + 0 - 2*2. Let d(b) = b**2 - 6*b - 5. Let s be d(7). Put 1, s, v in ascending order.
1,
|
{
"pile_set_name": "DM Mathematics"
}
|
: 1, e: 2, y: 1}?
1/6
What is prob of picking 2 q, 1 x, and 1 o when four letters picked without replacement from {x: 1, o: 5, d: 1, q: 11, n: 2}?
55/969
Calculate prob of picking 1 p, 1 i, and 1 h when three letters picked without replacement from {w: 2, p: 2, h: 1, i: 1, s: 3, b: 3}.
1/110
Four letters picked without replacement from uuuuuuuuuououuuuuu. What is prob of picking 2 o and 2 u?
2/51
Four letters picked without replacement from {j: 7}. What is prob of picking 4 j?
1
Calculate prob of picking 1 i and 1 f when two letters picked without replacement from {f: 3, e: 5, i: 1}.
1/12
Calculate prob of picking 1 k and 3 j when four letters picked without replacement from {f: 1, k: 10, m: 1, j: 3}.
2/273
Two letters picked without replacement from iiiilillilimi. Give prob of picking 2 i.
14/39
Two letters picked without replacement from vvvrvvvvvvvvvvrrrv. Give prob of picking 2 v.
91/153
Three letters picked without replacement from {k: 1, f: 2, i: 4, w: 2, l: 1, m: 2}. What is prob of picking 2 w and 1 f?
1/110
Four letters picked without replacement from zuzzunzu. What is prob of picking 1 u, 2 z, and 1 n?
9/35
What is prob of picking 1 y and 3 e when four letters picked without replacement from eyeye?
2/5
Four letters picked without replacement from vwwiiwwiivwiw. What is prob of picking 1 i, 1 v, and 2 w?
30/143
Three letters picked without replacement from {z: 9, g: 2, i: 6}. Give prob of picking 3 z.
21/170
Calculate prob of picking 2 w, 1 x, and 1 m when four letters picked without replacement from {r: 8, m: 2, x: 1, w: 2}.
2/715
Calculate prob of picking 3 s when three letters picked without replacement from sssssssssasssss.
4/5
Three letters picked without replacement from fffhffh. What is prob of picking 3 f?
2/7
Three letters picked without replacement from eeeejje. Give prob of picking 2 e and 1 j.
4/7
What is prob of picking 1 b and 1 j when two letters picked without replacement from yyjbybbylyjyyybb?
1/12
What is prob of picking 1 t and 3 p when four letters picked without replacement from {t: 5, p: 11}?
165/364
Two letters picked without replacement from eechvbcvvhjhc. What is prob of picking 1 e and 1 j?
1/39
Four letters picked without replacement from rrxrrhxrrxx. Give prob of picking 4 x.
1/330
What is prob of picking 1 y and 3 m when four letters picked without replacement from mymmy?
2/5
Calculate prob of picking 1 z and 1 j when two letters picked without replacement from zutjjdb.
2/21
Two letters picked without replacement from nclvllllnccv. What is prob of picking 1 l and 1 c?
5/22
Calculate prob of picking 1 y, 1 s, and 1 d when three letters picked without replacement from {d: 2, s: 1, q: 3, y: 1}.
2/35
Three letters picked without replacement from mscchlfsl. What is prob of picking 2 l and 1 m?
1/84
Calculate prob of picking 1 x and 3 u when four letters picked without replacement from {b: 3, n: 3, x: 1, u: 4}.
2/165
Three letters picked without replacement from {q: 7, c: 6}. What is prob of picking 3 q?
35/286
What is prob of picking 2 l when two letters picked without replacement from {j: 4, e: 1, l: 5}?
2/9
What is prob of picking 3 e when three letters picked without replacement from {m: 2, d: 1, x: 3, w: 1, e: 3, k: 1}?
1/165
Three letters picked without replacement from ojvvjoke. What is prob of picking 1 k, 1 o, and 1 j?
1/14
Two letters picked without replacement from pgggggwgpg. Give prob of picking 1 g and 1 p.
14/45
What is prob of picking 1 m and 2 k when three letters picked without replacement from mmmmmkmmmmmmkmmmmmm?
1/57
Four letters picked without replacement from ccstts. Give prob of picking 2 t and 2 c.
1/15
Four letters picked without replacement from {t: 3, a: 4}. What is prob of picking 2 t and 2 a?
18/35
Three letters picked without replacement from npnnpppnnnpphhpppp. What is prob of picking 2 p and 1 n?
45/136
What is prob of picking 1 j and 1 r when two letters picked without replacement from dxvradjav?
1/36
Three letters picked without replacement from {t: 5, j: 3, b: 4}. Give prob of picking 2 j and 1 t.
3/44
What is prob of picking 2 f when two letters picked without replacement from fftssfsff?
5/18
What is prob of picking 1 l, 1 v, 1 m, and 1 x when four letters picked without replacement from sxmsvmmsll?
1/35
Calculate prob of picking 1 z and 2 m when three letters picked without replacement from {z: 3, m: 9}.
27/55
Three letters picked without replacement from oommbmccmcbc. What is prob of picking 1 b, 1 c, and 1 m?
8/55
Four letters picked without replacement from {y: 1, j: 3, b: 1, s: 2}. What is prob of picking 1 y, 1 b, and 2 j?
3/35
Four letters picked without replacement from {q: 10}. Give prob of picking 4 q.
1
Two letters picked without replacement from xxd. Give prob of picking 2 x.
1/3
Two letters picked without replacement from hqhqqhq. Give prob of picking 1 q and 1 h.
4/7
Three letters picked without replacement from {r: 6, k: 12}. Give prob of picking 1 k and 2 r.
15/68
Four letters picked without replacement from {o: 1, u: 4, c: 3, t: 2}. What is prob of picking 1 o, 2 c, and 1 t?
1/35
Two letters picked without replacement from lzyxlyxzaxxaakk. Give prob of picking 2 l.
1/105
Three letters picked without replacement from {q: 1, h: 2, f: 10, i: 1, r: 2}. Give prob of picking 1 i and 2 f.
9/112
Two letters picked without replacement from dzgdazgfzzzzdgfdaazf. What is prob of picking 1 g and 1 d?
6/95
Two letters picked without replacement from {i: 5, a: 6, c: 2, o: 1, z: 1}. Give prob of picking 1 c and 1 i.
2/21
Two letters picked without replacement from nbbnnnnnnbbb. What is prob of picking 1 n and 1 b?
35/66
Calculate prob of picking 1 f and 1 p when two letters picked without replacement from {m: 1, f: 1, p: 1, k: 1, v: 3}.
1/21
Calculate prob of picking 2 d when two letters picked without replacement from {o: 3, d: 7, r: 4}.
3/13
Two letters picked without replacement from vduvvvuvdduvuudmvdv. Give prob of picking 2 v.
28/171
Three letters picked without replacement from {k: 1, c: 2, z: 1, b: 2, h: 1, l: 2}. Give prob of picking 1 k, 1 l, and 1 b.
1/21
Calculate prob of picking 2 p and 1 n when three letters picked without replacement from lnvppypyvvnppny.
6/91
Two letters picked without replacement from {h: 6, p: 1, f: 1, a: 1, i: 1, k: 1}. What is prob of picking 1 p and 1 h?
6/55
Calculate prob of picking 1 u, 2 t, and 1 s when four letters picked without replacement from uustuusuuuukutkuuu.
2/255
Two letters picked without replacement from xccxxchxcxchcxxc. Give prob of picking 2 x.
7/40
Calculate prob of picking 1 j and 1 o when two letters picked without replacement from fyffjoffyof.
2/55
What is prob of picking 1 v and 1 g when two letters picked without replacement from ggvvgvgg?
15/28
Four letters picked without replacement from grrhrrrrrgrggruu. What is prob of picking 2 u, 1 g, and 1 h?
1/455
Calculate prob of picking 1 i, 2 m, and 1 w when four letters picked without replacement from {s: 4, i: 1, u: 1, m: 3, w: 9}.
3/340
What is prob of picking 1 s and 1 c when two letters picked without replacement from sscsgnscccssscsc?
2/5
Four letters picked without replacement from {f: 5, g: 3, a: 4, x: 1}. What is prob of picking 3 g and 1 a?
4/715
Three letters picked without replacement from yyyyuuuy. Give prob of picking 3 u.
1/56
Three letters picked without replacement from tmvvnmmvmgmvov. What is prob of picking 1 v, 1 n, and 1 m?
25/364
What is prob of picking 1 f and 1 l when two letters picked without replacement from ltllftlftllllll?
4/21
What is prob of picking 3 f and 1 h when four letters picked without replacement from {h: 2, y: 3, x: 5, f: 7}?
1/34
Two letters picked without replacement from {t: 2, h: 4, w: 2, f: 2, o: 4}. What is prob of picking 1 o and 1 h?
16/91
Two letters picked without replacement from {z: 1, d: 2, j: 2, n: 6, i: 4}. Give prob of picking 1 n and 1 d.
4/35
Two letters picked without replacement from {p: 3, g: 1}. Give prob of picking 1 g and 1 p.
1/2
What is prob of picking 1 o and 1 n when two letters picked without replacement from nnjnnnnnnonjnoo?
2/7
What is prob of picking 1 i, 1 v, and 1 e when three letters picked without replacement from vqivfeivevffqf?
4/91
What is prob of picking 1 c and 3 p when four letter
|
{
"pile_set_name": "DM Mathematics"
}
|
*i + 4*u + 7 for i.
3
Let f be ((-21)/63)/((-2)/(-12)). Let p(z) = z**3 + 2*z**2 - 2*z - 2. Let k be p(f). Suppose -t + k = -3. Solve t*v + 24 = l, -3*v = -2*l - 6*v - 17 for l.
-1
Suppose 5*n - 17 = -7. Let m(z) = -11*z**n - 15*z + 8*z**2 + 17 - 10*z**2 + z**3. Let r be m(14). Solve -r*s + 12 = 4*v, 5*s + 7*v - 4*v - 9 = 0 for s.
0
Let r(q) = -q**3 + 3*q**2 + 9*q - 27. Let u be r(3). Solve 2*t - 2*y - 5 - 3 = 0, 3*y + 9 = u for t.
1
Let r = 36 + -33. Solve -15 = r*x - 5*b, x + 20 = -3*x - 4*b for x.
-5
Let f = 1076 - 1074. Solve 2*s + 4 = 3*b, -f*b + s = 2*b - 2 for b.
0
Let q be (-4)/1 + 9 + 0/2. Suppose -2*n + 27 = -4*f + q*f, 5*f + 4*n - 111 = 0. Solve 5*o - v = -23, -5*v = -4*o - 4*v - f for o.
-4
Suppose -3*j + w = 20, 3*j + 2*w + 4 = -1. Let y = j + -2. Let i(q) = q + 9. Let l be i(y). Solve -d = -3*c + 2*d - 18, 3*c = l*d - 15 for c.
-3
Suppose 8*r + 440 = 456. Solve 0*w = -r*w + 5*g - 21, -w + 6 = 3*g for w.
-3
Let y(x) = 27*x - 24. Let h be y(1). Solve g = 2*o + 9, -h*o - 9 = 2*o + 2*g for o.
-3
Let h = 1238 + -1233. Solve 4*v - 8 = -2*s, h*v + 5 = 10 for s.
2
Let n(i) = 5*i**2 + 29*i + 22. Let f(u) = 9*u**2 + 57*u + 44. Let d(m) = -4*f(m) + 7*n(m). Let l be d(-24). Solve 3*b - 20 = -0*z - 5*z, 8 = -3*b + l*z for b.
0
Let p be 7 - (2 + 1 - 0). Suppose 4*v = -v + 320. Suppose 4*l = v + 80. Solve 3*g = p*s - 1, 5*g + 3*s - 1 = l for g.
5
Let k be -3 + (-52 - 0)/(-2). Suppose 0 = -i - 4*a - 9, 2*i = 4*a - 3 - 27. Let t = k + i. Solve -2*c = -t, -3*c + 0*c + 3 = -3*r for r.
4
Let y(z) = -9*z - 265. Let i be y(-31). Solve -h - 2*h + 3*s = -3, s = -2*h + i for h.
5
Let t = 42 + -37. Let z be 10*3*t/30. Solve 0 = z*x + 5, -4*i + 0*x + 3*x + 11 = 0 for i.
2
Suppose -21 = -4*m + 23. Let b = 13 - m. Solve 0 = -b*w - k + 2, 4*k + 13 = -w for w.
3
Suppose -183*j = -91*j - 460. Solve -m = j*l + 3 + 26, 5*m + 25 = -l for m.
-4
Let h(w) = -2*w + 9. Let b(v) = -v + 10. Let q(f) = 6*b(f) - 5*h(f). Let r be q(-3). Solve y = 4*m + 15, 2*y - r*m = 5*y for y.
3
Let k(y) = -y**2 - 13*y + 32. Let o be k(-14). Let n be (15 - 3)*6/o. Solve -h = n*c + 4, c + 0*h + 8 = -2*h for c.
0
Let c = -23 + 19. Let a be ((-6)/c - 2)*-4. Suppose 3*h = -4*o - 8, -a*o - h = 3 - 1. Solve -4*r + 2*j = -14, 2*j = 7 - o for r.
5
Suppose 34 = -64*i + 98*i. Solve -f - i = 3*g, 3*f + 0*g - 13 = -g for f.
5
Let t be 418/76 - (-1)/(-4)*2. Solve -4*r - t = -1, -2*m + 8 = -2*r for m.
3
Let j be (-4)/8 + 11/2. Suppose -5*n = -4*n. Suppose -2*g - 3*w + 7*w = n, 5*g - 40 = 2*w. Solve g = -2*m - 4*t, m - 38 = j*t - 8 for m.
5
Let y be (11 - 0) + (4 - 7). Suppose 4*v + 22 = l, 2*l - 6 = v + 3. Solve -y = -l*z, -4*s - 6 = -5*z + 6 for s.
2
Let i = 19 + -14. Let o(p) = -p**2 + 7*p - 5. Let h be o(5). Solve -7*v + 25 = -2*v, -i*q + 2*v = h for q.
1
Let t = 1127 + -805. Suppose -c = -326 + t. Solve 2*s + 28 = c*a, -2*s - 18 = -2*a - 0 for a.
5
Let k = -97 + 76. Let i = k + 21. Solve 8*a - 3*a - 2*h + 16 = i, 4*h + 28 = -5*a for a.
-4
Let m(n) = -n + 16. Let i be m(12). Let k be i/((-4)/5*-1). Solve 5*h + 2*q = -q - 3, 0 = -5*h - k*q + 5 for h.
-3
Let c = -259 - -276. Solve -c = -0*u + u - 4*b, -b = 4*u for u.
-1
Let a = 282 - 271. Solve -4*k + a = 5*u, 0 = u - 2*k - 8 + 3 for u.
3
Let t(g) = -g**3 + 27*g**2 - 25*g - 24. Let o be t(26). Solve o*k + 5*m = -2, 0*m + 2 = -2*k + 2*m for k.
-1
Suppose -4*n = -2*n + 60. Let b = 9 - n. Suppose b = -3*p + 6*p. Solve 4*c + 5*s = p, 0*c + s = 2*c - 3 for c.
2
Let m = 11 - 7. Suppose 0 = -10*t + 32 + 18. Suppose 3 = k + 1. Solve -24 = -4*o + k*g + 2*g, m*g + 26 = t*o for o.
2
Let z(b) = 4*b**2 - 2*b + 2. Let u be z(2). Let q = 34 + -29. Suppose -2*o - 4*c + 4 = 3*o, q*o = -5*c. Solve 0 = 2*w - 3*a, 2*w + o*a + u + 0 = 0 for w.
-3
Let i(v) = v**2 - 6*v + 32. Let t be i(4). Solve 2*z = -5*x + t, -2 = 4*z + 3*x - 22 for z.
2
Let f(z) = z**3 + 6*z**2 - 9*z. Let q be f(-7). Suppose b = -11 + q. Solve 0 = 2*s + 3*c + 11 - 3, 20 = -5*s + b*c for s.
-4
Let w(f) = 6*f**2 + 135*f + 72. Let t be w(-22). Solve 3*h + 11 = -5*q, -t = -2*h + 2*q + 8 for h.
3
Suppose 6*y + 11 = 23. Let t be (3 - (-4)/4) + -4. Solve t = -3*k - o + y*o + 3, 0 = -5*k + o + 7 for k.
2
Let g(u) = -8*u + 344. Let v be g(43). Solve -3*f - 5*w + 2*w - 15 = v, f - 5*w - 1 = 0 for f.
-4
Suppose -15 = -6*t + t. Suppose -4*s - 6 = 2*m, t*s - 5*m + 0*m = 2. Let f be (-6)/s*(-16)/(-24). Solve 2*j - f*p = p - 6, -2 = j - 2*p for j.
2
Suppose 6*h = 905 - 875. Solve -4*q - h*a - 7 = 0, -4*a = -3*q - 9*a - 4 for q.
-3
Suppose -150 = -9*d + 4*d. Suppose -32*p = -d*p - 16. Solve 3*y - q + p = -2*q, 2*y = 4*q + 18 for y.
-1
Let u(h) = h**3 + 6*h**2 - 7*h + 5. Let n = -10 - -12. Let b = n - 9. Let q be u(b). Solve 4*m = -5*d - 29, -5*d - 30 = q*m - 0*m for m.
-1
Suppose 0 = 3*g + g + 8. Let r be 0/(g + 6)*-1. Suppose r = 4*o - 2*p - 10, -4*p + 0*p + 12 = 0. Solve -3*s - o*v + 31 = 0, 5*v = -3*s + 18 + 17 for s.
5
Suppose -3*w - z = -w - 15, -4*z - 4 = 0. Let j(f) = -f**2 + 7*f + 8. Let u be j(w). Solve -x - 5*p - 22 = u, 5 = -3*x + 8*x + 2*p for x.
3
Let c(p) = 63*p + 763. Let n be c(-12). Solve -2*i = 3*k + 3, -n*k + 4*k = -2*i + 15 for k.
-3
Suppose 7*u + 80 = 15*u. Let j be (-9)/(-2) + (-3)/(-6). Solve 2*w + 3*r + 9 = j*w, -4*w + 2*r = -u for w.
2
Let l = 211 - 209. Solve -4*o - 4*n = -1 - 11, -12 = o - l*n for o.
-2
Let a = 0 - 6. Let d(r) = -r**3 - 8*r**2 - 11*r + 9. Let j be d(a). Suppose 1 = 5*u + z, -3 = u + 2*u - j*z. Solve 2*k + 8 = o, -12 = 3*k + 4*o - u*o for k.
-4
Suppose -4*r + u + 6 = 0, u + 5 = 3*r + 1. Let g be ((-57)/(-12) + 5/20)*1. Suppose -g*x + 13 = -12. Solve -b - r*b = -x*w + 32, 0 = -2*b + 3*w - 20 for b.
-4
Let u(b) = b**3 - 2*b**2 - 5*b + 15. Let j be u(2). Suppose 3*l - 5 = 3*t - 23, 4*l = -2*t - 6. Solve -19 = -j*d + 2*r, -13 = -5*d - t*r + 2*r for d.
3
Let z(u) = 51*u**3 - u**2 + 3*u - 3. Let w be z(1). Suppose -c = c - w. Solve 5*s + 2*r - c = 0, r + 10 = -s + 3*s for s.
5
Suppose -5*p + 5*t + 30 = 0, -6*t = -3*p - 9*t + 12. Solve 11 = 10*h - 11*h - 4*f, -p*f = 4*h + 11 for h.
1
Let j be 0/(-72)*2*(-1)/(-4). Solve j = 3*q - b - b + 14, 3*q + 3*b - 6 = 0 for q.
-2
Suppose 9 = 3*p - 0. Suppose 0 = -0*y + y - p. Let r(d) = 8*d + 37. Let q be r(-4). Solve -y*l = -4*f + 12, -q*l + 3*f - 15 = 5 for l.
-4
Let z be ((-15)/(-4))/(18/96). Suppose -4*x - z = -104. Suppose 0 = 2*i - 7 - x. Solve d - j = 5*d - 15, 4*d = -2*j + i for d.
4
Let z = 57 + -41. Let p(v) = v**3 + 6*v**2 + 6*v + 7. Let a be p(-5). Solve a*u + u - k = -2, 0 = 2*u - 5*k - z for u.
-2
Suppose 0*j - 2*j = -8. Let l = -282 + 285. Solve l*x + 11 = -r + 1, -r = -4*x - j for x.
-2
Let u be -6*7/(-2)*24/(-9). Let k = 57 + u. Solve k = x - 0*x, 2 = 2*c + 4*x for c.
-1
Let d = -15 - -14. Let a be (23 - 20) + 1*d. Let j = 2 - 2. Solve i - 1 = -a*k - j*k, k = -i - 1 for i.
-3
Suppose 6*q = -15 + 51. Solve -4*y = 12, 2*t - 4*y + 2 = q for t.
-4
Let u = 377 + -365. Solve -2*t = 2*t - u, -3*q - 2*t = -21 for q.
5
Let w be 2 + (45/30)/((-2)/4). Let l(t) = -9*t + 1. Let c be l(w). Let p be 4/(-12) + 14/6. Solve m = -0*i - p*i, -3*m = i + c for i.
2
Let g be (-1 - -1)*(-42 - -41). Solve -z + 1 = t - g, -5*t = -15 for z.
-2
Suppose 2*f = -2*f - 4*j + 36, f = -3*j + 11. Let p be (f - 5)/(9/222). Let l = -51 + p. Solve z + l = 4*z - 4*s, -2*z - s = 3 for z.
1
Let p = -1395 - -1398. Solve p*k + 3 = 0, 3*x + k - 8 = 3 for x.
4
Let z be ((36/15)/4)/((-21)/(-105)). Solve d = -f - 4*f + 9, -4*f + 11 = -z*d for d.
-1
Let b be ((-16)/(-36))/((-20)/(-90)). Solve 4 = -2*o, 5*d + 0*o = 4*o - b for d.
-2
Let u(t) = 2*t**2 + 4*t - 3. Let y be u(-3). Solve 5*n = -4*f - 20, -y*n - f = n + 16 for n.
-4
Suppose -13 = -5*s + 2. Suppose -s*f = 9, p - 4*f + 2*f - 31 = 0. Solve -5*q = p, 3*y - q - 2*q = 12 for y.
-1
Let y be (39/(-3) - -9) + 6. Solve -4 = 4*k, -2*k = y*i + 3*k + 13 for i.
-4
Let f(t) = -t**3 - 5*t**2 - t - 5. Let q be f(-5). Solve 5*x + 2*h - 7*h - 20 = q, -1 = -x + 4*h for x.
5
Let j be 6/9 - (-4)/(-6). Suppose 3*u - u = j. Let h(y) = -y + 16. Let g be h(u). Solve 0 = 2*a - 4*r + r + g, -2*a - r = 8 for a.
-5
Let r be -3 - 1 - (-10 + -2). Suppose r = -4*m, -4*y - 5 = -3*m - 19. Solve -w = 4*i + 5, 0*w - 4*w - 6 = y*i for w.
-1
Suppose -3*d - 4*g + 5 = 0, 0 = -2*d + 4*g + 15 - 5. Solve 4*a = 4, -5*a + 15 = d*m + 4 for m.
2
Suppose 5*x
|
{
"pile_set_name": "DM Mathematics"
}
|
2)/((192/40)/4*(-15)/(-24))
5/9
Calculate (-680)/(-100)*1335/(-178).
-51
Evaluate (3/(-90)*4/(-6))/(((-66619)/434)/(-307)).
2/45
What is the value of ((-16)/54)/((-1100)/450)?
4/33
Evaluate (4355/(-310076))/((-10)/(-16)).
-2/89
What is the value of (((-440)/(-150))/22)/(((-19278)/(-105))/17)?
1/81
What is 7222/157*((-50)/(-150))/((-1)/3)?
-46
What is ((-1127)/7)/(1/(140/588)*5/(-6))?
46
Calculate ((-1272)/(-1200))/53*24/(-4).
-3/25
What is the value of (4/(-680)*6)/((-168)/756*18/20)?
3/17
8/(-40)*8*(-16)/2720*25
4/17
Evaluate (60/900)/((-32)/1824).
-19/5
Calculate (-7*(-65)/(9555/(-42)))/((-1)/(60/(-8))).
-15
28200/940*(-132)/360
-11
((-693)/(-18312))/33*8*2
2/109
What is 966/2415*500/8?
25
What is the value of -8*(21/(-112)*8)/(9*1)*-39?
-52
64/64*(-5)/10*1*48/(-76)
6/19
Evaluate ((1980/(-24))/55)/((-7875)/(-84)).
-2/125
Calculate 5*119/9860*-8*14/1568.
-1/232
What is (((-6162)/(-208))/(-79))/(3/(-360)*5)?
9
Evaluate (-128)/(-208)*182/(-28).
-4
What is the value of 88*(-90)/(-3060)*-51?
-132
((-28475)/(-34))/(4475/358)
67
What is 125/15*-3*-3?
75
What is the value of 6/140*(-615)/246*3*2/36?
-1/56
Evaluate -27*(-589)/(-4185)*-15.
57
What is (200/(-120))/(320/384)?
-2
Calculate ((-8)/6)/((-15)/(345/(-23))*(-1)/(-10)).
-40/3
What is the value of 9968/(192/(-12))*13/91?
-89
What is (76/6)/((-360)/(-135)*-1)?
-19/4
What is 496/(-6)*(9528/12704)/(2/(-3))?
93
((-2022)/(-39092))/((-15)/10)
-1/29
Evaluate (30/(-7))/((-860)/(-4515))*21/(-105).
9/2
(1/(-2))/((-182)/(-84)*63/126)
-6/13
What is the value of ((-16)/(256/(-48)))/((-828)/32)*(-21)/28?
2/23
Evaluate (-51575)/(-22693)*2*11.
50
((-2589)/(-5178))/((-1)/96)
-48
Calculate (-196524)/27295*(-3)/4.
27/5
(135/120)/(54/120)*(-22)/5
-11
What is the value of ((-1)/(-322*34/(-952)))/((-3)/63*-3)?
-14/23
(-9)/(1360/(-48)*(-252)/280)
-6/17
What is the value of 23*-636*(-60)/(-16560)?
-53
((280/(-252))/(8/12))/(4/8*-2)
5/3
Evaluate 5*(-69)/3450*-1.
1/10
Calculate 36/(-3276)*(-32)/2*((-91)/(-2))/(-13).
-8/13
Calculate 60/(-26)*(-2)/(-5)*1068912/(-27408).
36
Calculate (6*(-12)/1170)/((9/90)/((-22)/(-44))).
-4/13
What is the value of (((-300)/(-9))/5)/(546/(-819))?
-10
((12/37)/6)/((-476)/(-952))
4/37
Evaluate (-75)/(27*52/468*2/4).
-50
Calculate ((-360)/1680*(-7)/9)/(-2*(-1)/(-42)).
-7/2
(1409/2818)/(19/1)
1/38
(-4)/6*-26*(63/35)/((-18)/(-15))
26
(38*1)/(462/(-1232)*(-3)/(72/(-32)))
-76
What is the value of ((-3932)/(-68810)*7/2)/((-2)/(-1110))?
111
(-20*150/1000)/((-3)/45)
45
What is 119*749/(-1819)*-2?
98
What is the value of 10/(-35)*6*(-952)/272*(-1)/(-64)?
3/32
Evaluate (-2)/46*-1*45/(-42)*(-1190)/(-850).
-3/46
What is (24/20)/(69*(-111)/(-4255))?
2/3
Calculate ((-129)/172)/(5/15*(-4)/(-32)).
-18
What is the value of ((-97200)/(-46575))/(4/46)?
24
34202/12215*(-5)/(-152)*6/(-7)
-3/38
Calculate -92*(80/8)/(-140)*1/((-4)/56).
-92
((-444)/(-518))/(5*(-22)/11550)
-90
What is 1392*22*(-18)/(-6336)?
87
Evaluate ((-33)/((-23958)/154))/14.
1/66
Evaluate (-52*(-26)/108836)/(6/(-14)).
-2/69
((-32)/3)/(((-25)/(-450))/(-3*(-18)/324))
-32
(39/30)/(((-3375)/(-300))/(-45))
-26/5
Calculate ((-247)/(-26))/(-30*8/192).
-38/5
What is ((-3850)/(-6300))/((2/(-3))/(96/36))?
-22/9
Calculate (-195)/(-6)*4*(-189)/630.
-39
What is (3829/55794)/((-14)/(-6))?
1/34
Calculate (3/(-2)*-5)/(18/6)*(-184)/368.
-5/4
What is the value of ((161/168)/(((-2145)/(-264))/65))/(2/18)?
69
Evaluate (780/(-65))/((-245)/70).
24/7
What is the value of ((-5)/315*-3*117)/((-1109)/7763)?
-39
(85/(-850))/(6/(-84))
7/5
What is the value of ((-285)/76*(133100/99)/(-25))/((-15)/(-9))?
121
What is the value of ((-5)/38)/(196686/(-266931))?
5/28
(-164)/(68880/(-315))*(-4)/(-9)*3
1
(2/(-44))/(775/17050)
-1
((378/(-216))/(7/(-8)))/73
2/73
What is 32/(96/(-1))*((-6)/(-22))/1?
-1/11
Evaluate (155/3720*(-2)/(-4))/((-6)/8).
-1/36
Evaluate ((-10340)/3290*(-56)/132)/(1/((-90)/(-4))).
30
Calculate ((-12558)/(-35))/13*(5/6)/(3/(-9)).
-69
Evaluate (((-6)/7)/((-13)/(14014/330)))/(32/10).
7/8
What is the value of ((-4)/(-10))/((-24)/20)*10*18/(-5)?
12
What is (-188)/((-523768)/(-597))*1/(-6)*(-6)/3?
-1/14
(21/(-14))/((-288)/(192/(-6)))
-1/6
What is 920/345*(-37908)/(-864)?
117
Calculate ((-112)/(-154)*-44)/(1/(-4)*-14).
-64/7
5/(-7)*-1*-1
-5/7
Evaluate (646/(-1292)*(-8)/(-7))/(16/40).
-10/7
What is the value of -2*115/(2185/(-494))?
52
(((540/(-1392))/45)/(-1))/(3/(-18))
-3/58
11/((-14322)/6)*3/15*35
-1/31
What is the value of ((-6)/(-8))/(((-3900)/24)/(-25))?
3/26
(-153)/(-136)*4*260/(-30)
-39
What is ((-3)/2)/(48/(-64)*1/(-12))?
-24
What is the value of 6/(-23)*(-47840)/3744?
10/3
What is the value of 388*(5068/(-5792)*(-40)/98)/((-30)/(-21))?
97
What is the value of (22450/(-26940))/(230/(-36))?
3/23
(20/(-60)*-2)/((-4)/(-10)*90/162)
3
What is the value of (-590)/(-295)*(-1)/59?
-2/59
Calculate (((-1002)/1503)/((-28)/(-15)))/1.
-5/14
Evaluate 22/((41536/2655)/64).
90
Evaluate (-1*1*(-6)/30)/((-109)/((-16786)/231)).
2/15
Evaluate (-789735)/(-390222)*(-42)/(-10).
17/2
((-488)/2684)/(10/11)
-1/5
(-22)/(-36)*-4*36/(-24)
11/3
What is ((-6)/((-216)/22))/((-1122)/(-1530))?
5/6
Evaluate ((-11)/(-418))/((-2352)/37240).
-5/12
(224/9)/(-1*16*13/936)
-112
What is ((-399)/(-38))/7*(416/117)/(-16)?
-1/3
Evaluate (4*(-7)/(-11))/(3156/(-17358)).
-14
What is (-20394)/15862*(-616)/(-12)?
-66
Evaluate 1/284*(205344/620)/(-207).
-2/355
Calculate ((84/805)/(-3))/(378/315).
-2/69
What is the value of 4/(-6)*(-171)/5016*-11?
-1/4
What is ((-26)/2)/((-1598)/(-1598))?
-13
Calculate ((-315)/12)/(((-3)/42)/(2/(-42))).
-35/2
What is the value of (116388/3843)/((-32)/56)?
-53
Calculate ((-10)/35)/((-2283)/69251).
26/3
Evaluate (108/39)/((-267)/(-4628)).
48
What is ((294/(-196))/((-15)/(-3)))/((108/352)/9)?
-44/5
2465/(-2295)*46/(-4669)
2/189
What is the value of (11/(-44))/(15/(-6)*(-23)/690)?
-3
What is the value of 10237/(-706)*(6/2)/((-15)/10)?
29
Calculate (-1107)/(-369)*((-24)/(-9))/(-1).
-8
Evaluate (((-2)/(-2))/(13/(-39)))/((-22)/(2640/(-90))).
-4
Calculate (7720/(-772))/((1/3)/((-10)/25)).
12
Calculate ((-4)/(-9)*42/168*-3)/((-2)/246).
41
What is the value of (30/(-21))/((-165)/(363825/(-70)))?
-45
Evaluate 26/(-429)*213675/(-518).
25
What is 10*48/1600*((-6)/30)/((-27)/60)?
2/15
2/(((-30)/360)/(5/8))*(-98)/(-441)
-10/3
What is the value of (2/(-50))/((2*3/(-63))/((-23328)/(-20412)))?
12/25
Evaluate ((-520)/2)/(-13)*3/4*20/(-10).
-30
((60/100)/1)/(-13*(4/(-2))/10)
3/13
Calculate (74536/11979)/(63/(-27)).
-8/3
What is the value of (-18)/(-969)*(59177/118)/59?
3/19
Evaluate ((-216)/1188)/((-18)/(-6039)).
-61
Evaluate 40/(-100)*(-600)/(-1020)*(-2)/(-12)*1.
-2/51
What is the value of (-22)/6*((-4760)/120)/17*9/(-7)?
-11
Calculate (((-476)/714)/(42/(-18)))/((-10)/(-112)).
16/5
What is (-2)/(-18)*6201/(-13091)?
-1/19
Calculate (-1340)/536*8/(-860).
1/43
Evaluate (-10)/8*((-107856)/(-1512))/((-5)/6).
107
What is the value of ((-3)/1)/(((-1200)/(-32))/(-15))*(-120640)/1248?
-116
((-1120)/(-48))/((16/120)/(37/(2035/(-22))))
-70
Calculate ((-4)/(-8)*-3)/(106650/1800).
-2/79
What is the value of 45539/2418*(-5)/((-45)/(-54))?
-113
What is (-35)/(2*(841/58)/(-29))?
35
Evaluate (-24*6/126)/((-100)/(-250)*(-325)/(-70)).
-8/13
What is the value of ((-144)/(-72))/((220/22)/(-490))?
-98
Evaluate ((-71)/(71/(-13)))/(-39).
-1/3
(-171)/(16074/658)*-9
63
What is the value of (10/(-20)*-36)/((-28)/(-63)*207/46)?
9
Calculate (-7656)/(-116)*(-10)/55.
-12
What is the value of (2/(6/39))/(64*(-52)/9984)?
-39
Evaluate 2/(2/((-56)/(-12)))*((-3045)/(-58))/35.
7
What is ((-11)/(-22))/((3/399)/(196/3430))?
19/5
210/175*4*10/24*2
4
144/((-4)/(-1))*(-190)/152*(-6)/(-15)
-18
Calculate (-75)/(-6)*((-72)/15)/1*12/(-48).
15
Calculate ((-12)/(-15)*(-15)/9)/(55/2640).
-64
What is (-120)/(-240)*(-35)/(-20)*10/(-7)*-76?
95
What is the value of (-12)/2*6/48?
-3/4
Evaluate ((-200)/(-175))/((-1716)/770)*18/6.
-20/13
2/(-32)*(-252)/(-126)*2/(-2)
1/8
What is the value of ((-2)/(-2))/(4/14*(-1736)/496)?
-1
What is the value of 7/(1/1)*(-177)/354?
-7/2
Evaluate (5/55)/((-17)/9911).
-53
Evaluate (8/5)/((-2)/(25*33/(-37950))).
2/115
What is the value of 50*171/5700*58/(-3)?
-29
What is the value of (-33)/(-55)*(-1540)/(-84)*-1?
-11
Calculate (-15)/9*-18*783/(-810)*(-3)/3.
29
What is ((-16)/(-2))/(66/451)*(-11)/(1320/(-90))?
41
((-12
|
{
"pile_set_name": "DM Mathematics"
}
|
ermine f(-12).
11
Let u(a) be the first derivative of -3*a**2/2 + 51*a + 662. Calculate u(13).
12
Let f(v) = 981*v**2 - v**3 - 503*v**2 - 475*v**2 + v. Let i be (1 + 1/2)*2. Calculate f(i).
3
Let h(o) = -2*o**3 - 12*o**2 + 5*o + 10. Let z(w) = -w**3 - 13*w**2 + 7*w + 9. Let q(d) = 2*h(d) - 3*z(d). Determine q(14).
35
Let k(m) = m**2 + 5*m + 6. Suppose 4*i + 66 = 10*i. Let f(h) = -h**3 + 13*h**2 - 23*h + 5. Let j be f(i). What is k(j)?
12
Let n = 19883/72 - 2482/9. Let t(f) be the third derivative of -1/120*f**6 + 21*f**2 + 0*f + 0 + f**3 - n*f**4 - 2/15*f**5. What is t(-7)?
20
Let b(s) = 7823934*s - 7823936*s - 2 - 10 - 1. Suppose 5*d + 49 - 4 = 0. What is b(d)?
5
Let i(m) = 10*m**2 + 2*m + 1. Let r = -374 + 485. Suppose 32*j - r = -47. What is i(j)?
45
Let q(w) be the third derivative of -w**6/720 + 7*w**5/120 - 13*w**4/8 - 191*w**2. Let c(v) be the second derivative of q(v). Give c(10).
-3
Let w(j) = j**3 + 6*j**2 - 10*j - 51. Suppose 3*a = -119*k + 120*k - 16, -3*k + 24 = -5*a. Calculate w(a).
9
Let j(w) = 2998 - 5344 - 7*w + 2343. Let u be 104/(-18) + (-2)/9. Give j(u).
39
Let t(c) = 2*c**3 + 2*c**2 - 3*c. Let i(m) = -m**2 - 19*m - 25. Let b be i(-14). Let w be 3/15 + 666/b. Let q be (-6)/15 + 66/w + -2. What is t(q)?
18
Let v = 3386 - 3384. Let b(d) = -3*d**3 - d**2 + 7*d. Calculate b(v).
-14
Let y be (-65)/(-5) - (1 - 4). Let z = 9 - y. Let j(t) be the first derivative of -t**4/4 - 7*t**3/3 + 6*t - 379. Calculate j(z).
6
Let p(m) = -4*m. Let l(f) = 5*f - 115. Let s be l(27). Let b be (-28)/s - ((-65)/(-25) + -3). What is p(b)?
4
Let b(z) = -3*z**3 + 2*z**2 + 2*z - 1. Let x be 0*5/(-15)*3. Suppose 4*w + 20 = 0, 2*m + 2*w + 2 + 12 = x. What is b(m)?
27
Let y(d) = d - 1. Let z(v) = v**3 - 12*v**2 - 2*v - 16. Let x be z(12). Let f = x - -48. Suppose 14 = 5*u - 2*n - f, -4*u - 4*n + 40 = 0. Determine y(u).
5
Let j(l) = 34 + 0 + 8 - 31 - l. Let n = 5 + 1. Calculate j(n).
5
Let h = -35 - -41. Suppose -h = -0*i - 2*i. Let l(p) = 11*p**i + 20*p**3 - 6*p - 4 - 30*p**3 + 4*p**2. What is l(-4)?
20
Let k(v) = -50*v**3 + 3*v**2 + 11*v + 21. Let a(q) = 23*q**3 - 2*q**2 - 6*q - 10. Let d(o) = -13*a(o) - 6*k(o). Determine d(-6).
4
Suppose 1001*z = 987*z + 70. Let c(f) = 3*f**2 + 8*f + 8. Let g = -17 + 14. Let r(s) = -2*s**2 - 4*s - 4. Let l(h) = g*c(h) - 5*r(h). What is l(z)?
1
Let u(d) = -580 - d**2 + 288 + 5*d + d**3 - 4*d + 285 - 3*d**3. Calculate u(3).
-67
Let m(x) be the second derivative of 5*x**2 + 5/3*x**3 - 4 + 1/12*x**4 - 7*x. Give m(-7).
-11
Let p(y) = -y - 28. Let w be (((-13702)/(-51))/(-31))/((-4)/(-12)). Determine p(w).
-2
Let c be (16/(-12) - -2)*6. Let l be 3 + (c - (0 - -2)). Let q(m) = 6 + 1 - 6 + l*m**2. Give q(-1).
6
Let t(k) = 5*k - 76. Let l(w) = -4*w**2 - 140*w - 119. Let j be l(-34). Determine t(j).
9
Let w = 347 + -389. Let t = w - -47. Let a(x) = -4*x**2 - 7*x - 8. Let y(n) = -3*n**2 - 7*n - 7. Let b(z) = 4*a(z) - 5*y(z). Calculate b(t).
13
Let u(m) be the first derivative of -5*m**2/2 + m + 1272. What is u(5)?
-24
Let f(s) = -s**2 - 6*s - 7. Let n = 224 + -222. Suppose u - n*d = 3, -2*d - 7 = -1. Calculate f(u).
2
Let x(m) = m**2 + m - 10. Let t = -273 + 266. Give x(t).
32
Let c be ((-87)/(-15) + 120/(-15))*-5. Let n(m) = m**3 - 12*m**2 + 13*m - 18. Calculate n(c).
4
Let r(q) = 6*q + 12*q + 74 - 59 - 20*q. Let d(f) = -4*f + 32. Let i(a) = 3*d(a) - 7*r(a). Calculate i(7).
5
Let d = 5972 + -5963. Let u(l) = -2*l**2 + 17*l + 3. Give u(d).
-6
Let l(w) = -36 + 42*w - 97*w**2 + 2*w + 96*w**2 - 10*w. Give l(33).
-3
Suppose 10305 - 10297 = 2*k. Let a(c) be the first derivative of 0*c**2 - 5/3*c**3 - 1/4*c**4 + k*c + 16. Calculate a(-5).
4
Let f(a) be the first derivative of 9*a**4/4 + a**3/3 + a**2 + a + 1. Let h = 1538 + -852. Let z = h + -687. Give f(z).
-9
Let u be 7/(7 + 7/(-2)). Let b(j) = 211*j**3 + j - u*j**2 + 0*j - 186*j**3. Calculate b(1).
24
Let f(d) = -d**2 - 50*d - 473. Let w be f(-37). Let p(x) = -x**3 + 10*x**2 - 17*x + 11. Give p(w).
3
Let a(p) = -p - 1. Let x be 1/8 - 1995/(-40). Let m = -47 + x. Suppose 56 = -m*u + 11*u. Calculate a(u).
-8
Suppose -g = -3*g + 18. Let h be ((-12)/g)/2*39. Let c = -27 - h. Let y(a) = -11*a**2 + 2*a + 1. What is y(c)?
-12
Let b be (-24 - -33) + -4*5/(-20). Let j = -8 + 11. Let a(l) = -l + 2*l - b*l**2 + l**j + 5*l + 4*l**2. Calculate a(5).
5
Let p = -27 + 46. Let w be -2 + p - (-2 - -4). Let h be (-2)/7 + 3/((-63)/w). Let y(b) = -8*b**3 - b. Calculate y(h).
9
Let u(b) = -13*b - 20*b - 6*b - 9*b + 47*b + 57. Give u(13).
44
Let j(p) be the first derivative of p**3/3 + 5*p**2 - p - 1083. Give j(-8).
-17
Let j(k) = -k**2 - 3*k - 4. Let w(l) = l + 1. Let i(d) = j(d) + 6*w(d). Let u(g) = -g**3 - 15*g**2 - g + 23. Let m be u(-10). Let x = -461 - m. What is i(x)?
-16
Let a = -7089 + 7080. Let i(g) = 3*g**2 + 31*g + 7. What is i(a)?
-29
Suppose 0 = -4*w + 16, 4*d + w + 15 + 21 = 0. Let p = 21 + d. Let g(q) = 13*q + 3*q**2 + p*q + 4 - 22*q - q**3. What is g(4)?
-4
Let i(y) = -7 - 3*y - y + 3*y. Let b = 49 + -46. Suppose -5*o - 11 = 2*f - 4, b*f + 2*o = -16. Give i(f).
-1
Let u(j) = j**3 + 2*j**2 - 8*j - 13. Let n(h) = 6*h**3 - 47*h**2 - 9*h + 4. Let l be n(8). Calculate u(l).
-13
Suppose 0 = -3*l, c + 2*l + 6 = 4*c. Let f(r) = -r**3 - 4*r - 2*r**c - 1 - 20*r**2 + 16*r**2. Let k be ((-6)/5)/(26/65). Determine f(k).
-16
Let z(m) = -m**3 + 6*m**2 - 5*m - 1. Suppose -7*d = 370 + 1. Let i = d - -57. Determine z(i).
11
Let p(x) = 2*x - 3*x**2 + 4*x - 3 + 2*x**2. Let c be 2/(22/2 - 4347/414). Determine p(c).
5
Let j(u) = -3*u**2 + 3*u + 1. Let p(z) = 9*z**2 - 9*z + 2. Let c(o) = 2*j(o) + p(o). Calculate c(3).
22
Suppose -240 = 59*o - 18*o + 39*o. Let w(a) be the first derivative of 5*a**2/2 - 2*a - 2. Give w(o).
-17
Let a(d) be the third derivative of d**4/24 + d**3/6 + 23*d**2 - d. Let b be 0/(-15) + 0 + -5. Give a(b).
-4
Let j(o) = -o**2 - 30*o + 132. Suppose -143 = 4*z - a, -30*z + 5*a + 101 = -34*z. Give j(z).
-4
Let w(v) = -1 - v**2 + 1 + v**3. Suppose -36 + 113 = -104*q - 131. Determine w(q).
-12
Suppose 2*s + 4*f - 2*f = 14, 2*f = -2. Let c(n) = -n**2 + 6*n + 16. Let p be c(s). Let u(h) = p + 7 - 3 + 2*h + 3. Calculate u(-7).
-7
Let a be (924/63 - 16)*18/8. Let b(g) = g - 4. Let k(x) = 5*x - 16. Let h(u) = 9*b(u) - 2*k(u). What is h(a)?
-1
Let y(j) = 17*j - 58. Let l(d) = 90*d + 1804. Let b be l(-20). Calculate y(b).
10
Let g(j) be the second derivative of j**4/12 - 5*j**3/6 + j**2 + 4991*j. Let a = 12 + -7. Calculate g(a).
2
Let t = -933 - -930. Let u be 5 + -5 - -2 - t. Let g(v) = 6*v - 25. Give g(u).
5
Let b(u) = 2*u**3 + 7*u**2 + 21*u + 14. Let v(x) = 13*x**3 + 47*x**2 + 146*x + 95. Let h(m) = -20*b(m) + 3*v(m). Determine h(5).
-5
Let v(j) be the third derivative of j**6/120 + j**5/10 + j**4/4 + j**3 + j**2 + 374*j. Determine v(-4).
14
Let k = -12797 + 12785. Let f(w) = w**3 + 13*w**2 + 12*w + 21. Give f(k).
21
Let d(g) = g**3 + 3*g**2 - g - 2. Suppose -42*q + 670 = -32*q. Suppose 0 = -17*s + q - 118. Calculate d(s).
1
Let o(l) = -l**3 + 3*l**2 + 2*l + 4. Let v(h) = -3*h**3 - 14*h**2 + 6*h + 8. Let z = -45 - -40. Let r be v(z). Calculate o(r).
10
Let y(u) = -17*u + 69. Let o = 7094 + -7090. What is y(o)?
1
Suppose 6*i - 7 - 29 = 0. Let c(w) = 0*w - 3*w + 4*w + i*w - 6 - w**2. Calculate c(4).
6
Let n = 307 - 309. Let b be (-3)/(-9) - 56/(-12). Let p(q) = -b - 3 - 3*q + 5 - q**2 - q**3. Determine p(n).
7
Suppose 6*o - 93 + 57 = 0. Suppose -8*k - 14 = -o*k. Let t(n) = 8 + 0*n + 2*n - n. What is t(k)?
1
Let k(i) be the third derivative of -i**5/60 + 13*i**4/24 - 5*i**3/2 - 3*i**2 - 35. Let p be (-2)/7 - 651/(-49). What is k(p)?
-15
Let y(i) = -i - 5. Let r(b) = 147*b + 590. Let c be r(-4). Give y(c).
-7
Suppose 14538*b + 140 = 14558*b. Let w(a) be the third derivative of a**5/60 - 7*a**4/24 - a**2. What is w(b)?
0
Let k = 169 + 12. Let q = 187 - k. Let j(u) be the third derivative of -u**6/120 + u**5/10 + u**4/12 + 3*u**2. Calculate j(q).
12
Let x(a) be the first derivative of -a**3/3 - 2*a**2 - 3*a + 2. Let k be (24/16 - 3)/(6/(-8)). Suppose -4*j = 10 - k. Calculate x(j).
1
Let s(j) = 16*j - 1. Let l(m) = 31*m - 2. Let b(g) = 6*l(g) - 11*s(g). Let a be 12/16 + (-35)/20. Give b(a).
-11
Let q(s) = -11*s**3 - 70*s**2 - s - 10. Let p(c) = 9*c**3 + 61*c**2 + c + 8. Let r(f) = 6*p(f) + 5*q(f). De
|
{
"pile_set_name": "DM Mathematics"
}
|
3 - 2023*n**2 + 2023*n. Let u(a) = 4034*a**3 - 6*a**2 + 6*a. Calculate -6*b(d) + 2023*u(d).
4046*d**3
Let g(x) be the first derivative of 0*x - 5/3*x**3 - 5/2*x**2 - 33. Let q(v) = v - 2. Let l(w) = -2*w + 3. Let a(n) = -2*l(n) - 3*q(n). What is -5*a(d) - g(d)?
5*d**2
Suppose -61 = -32*d + 3. Let o = -4 + 7. Let j(w) = -5*w**o + 16*w**d - 16*w**2 + w**3. Let h(l) = -9*l**3. Give -2*h(c) + 5*j(c).
-2*c**3
Suppose 0 = 415*b + 19*b + 1736. Let u(t) = 7*t**2 + 4. Let h(q) = -q**3 + 1. Give b*h(l) + u(l).
4*l**3 + 7*l**2
Let u(i) = -8*i + 2. Suppose -43*n + 20*n = 0. Suppose n = -10*s - 136 + 156. Let w(k) = 9*k - 2. Calculate s*w(j) + 3*u(j).
-6*j + 2
Suppose 0*v = -15*v - 5310. Let y = v - -360. Let f(c) = -2*c**2 + 2. Let b(o) = -2*o**2 + 2. Give y*b(t) - 7*f(t).
2*t**2 - 2
Let w(a) = -9*a**3 - 6*a**2 - 7*a. Let j(g) = -14*g + 2*g + 3*g + 17*g - 2*g + 5*g**2 + 9*g**3. Determine 7*j(u) + 6*w(u).
9*u**3 - u**2
Let i(u) = u. Let c(b) = -1962*b + 117. Let h(r) = -67*r + 4. Let y(t) = 12*c(t) - 351*h(t). Calculate 63*i(q) + 3*y(q).
-18*q
Let d(i) = -6*i + 11. Let u(b) = b - 1. Suppose 0 = 54*w - 58*w - 1004. Let l = w + 252. What is l*d(z) + 4*u(z)?
-2*z + 7
Let x be (-1 + -1)*(1 + 0). Let a be 3/6*4*(x - -1). Let u = -5 - a. Let g(t) = 5*t - 3. Let r(k) = 26*k - 16. Determine u*r(p) + 16*g(p).
2*p
Let o(j) = 19*j - 220. Let b(g) = 55*g - 658. Determine -4*b(w) + 11*o(w).
-11*w + 212
Let k(l) be the first derivative of 5*l - 7253. Let n be (4/(4/3))/(-1). Let q(z) = z + 6. Calculate n*q(t) + 4*k(t).
-3*t + 2
Let l(x) = x**2 + x - 1. Let v = 92 + -91. Let h(u) = -5*u**2 + u + 6. Let y(r) = -5*r**2 + 5. Let p(b) = -2*h(b) + 3*y(b). Give v*p(s) + 4*l(s).
-s**2 + 2*s - 1
Let g(w) = 43*w**2 - 74*w + 8. Let r(q) = 52*q**2 - 72*q + 10. Determine -5*g(h) + 4*r(h).
-7*h**2 + 82*h
Let y(j) = -1949*j - 4. Let o(l) = 3890*l + 7. Calculate 6*o(x) + 11*y(x).
1901*x - 2
Let x(o) = o**3 - o**2 + 5*o - 5. Let v(a) = a**2 - a + 3. Let d(n) = -7*n**2 + 8*n - 23. Let f(m) = -2*d(m) - 15*v(m). What is -5*f(g) - x(g)?
-g**3 + 6*g**2
Let s(g) = -g**2 - 1. Let x(y) = -4 + 31*y - 5*y**2 + y**2 + 28*y + 21*y - 82*y. Suppose p + 0*p = -2. Let n be 1*p - (1 - 4). Calculate n*x(k) - 5*s(k).
k**2 - 2*k + 1
Let v(o) = -7*o + 1247. Let q(x) = 3*x - 415. Give -8*q(y) - 3*v(y).
-3*y - 421
Let l(v) = -382*v**2 + 2*v + 30. Let d(m) = -253*m**2 + m + 19. Determine 8*d(n) - 5*l(n).
-114*n**2 - 2*n + 2
Let b(y) = 278*y - 9. Let n(v) = 3150*v - 99. Calculate -45*b(x) + 4*n(x).
90*x + 9
Let l(c) = -c**3 + 16*c**2 - 4*c + 7. Let d(f) = f**3 - 11*f**2 + 3*f - 5. Let j(h) = h**3 - 53*h**2 + 283*h - 40. Let z be j(47). What is z*d(i) + 5*l(i)?
2*i**3 + 3*i**2 + i
Let g(v) = 29*v**3 + 30*v**2 - 7*v + 24. Let h(l) = 14*l**3 + 15*l**2 - 3*l + 11. Determine -3*g(i) + 7*h(i).
11*i**3 + 15*i**2 + 5
Let p(s) = -1702*s**3 + 9*s**2. Let m(n) = 3855031*n**3 - 20388*n**2. Give 3*m(c) + 6796*p(c).
-1699*c**3
Let c(o) = -6*o**2 - 4*o + 4. Let b(q) = 48*q**2 + 33*q - 33. Let r(m) be the first derivative of -m**3/3 + 33*m - 49. Let g be r(0). Calculate g*c(t) + 4*b(t).
-6*t**2
Let o(d) = -858*d**3 + 2*d**2 + 36*d - 5. Let g(w) = 429*w**3 - w**2 - 14*w + 2. Give 5*g(z) + 2*o(z).
429*z**3 - z**2 + 2*z
Let u(w) = -23 - 19 - 21 - 22 + 86. Let o(d) = 2*d + 20. Give -o(r) + 5*u(r).
-2*r - 15
Let z(d) = -d**3 - d**2 + d + 1. Let y(i) = -6*i**3 + 7*i**2 + 25*i + 8. Calculate -y(l) + 5*z(l).
l**3 - 12*l**2 - 20*l - 3
Let s(v) = 124*v - 16. Let x(o) = 117*o - 16. Give -4*s(n) + 5*x(n).
89*n - 16
Let c(k) = -6*k**3 - 2*k**2 + 3*k + 3. Let t(d) = -121*d**3 + 3*d + 2 - 120*d**3 + 361*d**3 - 125*d**3 - 2*d**2. Calculate -2*c(r) + 3*t(r).
-3*r**3 - 2*r**2 + 3*r
Let a(n) = 32*n**2 - 6*n. Let p(y) = 65*y**2 - 13*y. Let v be 5/(-3)*-78*4/40. Determine v*a(i) - 6*p(i).
26*i**2
Let r(a) = -2*a + 22. Let g(h) = 13*h - 2140. Determine -g(m) - 6*r(m).
-m + 2008
Let p(f) = -102*f**3 + 26*f**2 - 13*f + 11. Let b(j) = 51*j**3 - 12*j**2 + 6*j - 5. What is 13*b(a) + 6*p(a)?
51*a**3 + 1
Suppose -3*d - 21 = -9. Let x(c) be the first derivative of -5*c**4/4 - c**3 - 3*c**2 - 18236. Let f(i) = i**3 + i**2 + i. Determine d*f(q) - x(q).
q**3 - q**2 + 2*q
Let m(w) = -10*w + 1. Let r(c) = -15435*c + 105. What is 105*m(n) - r(n)?
14385*n
Let t(h) = h**3 + h**2 - 7*h - 2. Let p(k) = -6*k**3 - 5*k**2 + 174*k + 12. Give -p(n) - 5*t(n).
n**3 - 139*n - 2
Let d(m) = -3*m**3 + 5*m**2 + 3*m. Let k(o) = -4*o**3 + 6*o**2 + 4*o. Suppose -x = 2 + 3. Let u be 9/27*33*3. Let v = -27 + u. What is v*d(r) + x*k(r)?
2*r**3 - 2*r
Let t(v) = 835 - 403 - 51*v**2 - 427 - 28*v**2. Let a(j) = -434*j**2 + 28. Calculate -5*a(m) + 28*t(m).
-42*m**2
Let o(i) = 2*i + 5. Let r(m) = -5*m - 5798. Give -3*o(p) - r(p).
-p + 5783
Let q(u) = -86*u - 3675. Let a(y) = -206*y - 9187. Calculate 5*a(t) - 12*q(t).
2*t - 1835
Let m(d) = d**3 + 174*d + 550. Let y be m(-3). Let j(v) = v**3 - v**2. Let w(o) = 6*o**3 - o**2 - 3. Give y*w(b) - 3*j(b).
3*b**3 + 2*b**2 - 3
Let j(z) = 23*z**3 - z**2 - 9*z - 12. Let x(s) = -s - 2. Calculate j(a) - 5*x(a).
23*a**3 - a**2 - 4*a - 2
Let v(j) = -91982*j. Let s(h) = -453*h. Determine 407*s(n) - 2*v(n).
-407*n
Let n(r) = 101*r + 3 + 0 - 262*r + 137*r. Let i(x) = 24*x - 4. Calculate -3*i(d) - 4*n(d).
24*d
Let l(w) = w**2 - w + 1. Suppose -9 = z - 11*o + 15*o, -4*o = 12. Let y(u) be the first derivative of 8/3*u**3 + 12*u - z - 6*u**2. Determine -12*l(a) + y(a).
-4*a**2
Let j(n) = 9*n**2 - 7*n + 7. Let y(c) be the first derivative of -10/3*c**3 + 12 + 4*c**2 - 8*c. Let u = -240 - -247. Calculate u*j(g) + 6*y(g).
3*g**2 - g + 1
Let d(z) = 5794*z - 86. Let j(x) = 3*x - 3. What is d(u) - 28*j(u)?
5710*u - 2
Let g(a) = -5*a - 3. Let b(q) = -16*q - 1925. Determine -b(i) + 3*g(i).
i + 1916
Let x(j) = -5*j**2 + 15. Let i = -5393 - -5392. Let g(a) = 1. Give i*x(y) + 15*g(y).
5*y**2
Let w(i) be the first derivative of 0*i - 1/2*i**2 + 58. Let c(f) be the second derivative of 7*f**3/6 + f**2 + f. Calculate -c(y) - 6*w(y).
-y - 2
Let a(z) = z**3 - 14*z**2 - 8*z - 2. Let v(y) = -5*y**2 - 3*y - 1. Let n = -4566 - -4577. Give n*v(w) - 4*a(w).
-4*w**3 + w**2 - w - 3
Let h(y) be the first derivative of -y**3 + 7*y**2/2 - 24*y + 2. Let w(g) = -4678*g**2 + 14022*g**2 + 8 - 2*g - 4673*g**2 - 4670*g**2. Give -2*h(a) - 7*w(a).
-a**2 - 8
Let w = 206 - 196. Let f be (-16)/w*((-25)/10 - 0). Let d(r) = -7*r**2 - 3*r - 1. Let h(j) = -6*j**2 - 2*j - 1. Determine f*d(m) - 5*h(m).
2*m**2 - 2*m + 1
Let p(z) be the third derivative of -z**4/6 + z**3/6 + 4*z**2 - 29. Let o(c) = -2*c - 3 + 2 + 7*c - c. Calculate 4*o(l) + 3*p(l).
4*l - 1
Let l(o) = o + 33. Let k(g) = 6*g + 1083. Calculate k(d) - 4*l(d).
2*d + 951
Suppose -4 = g + 3. Let b(v) = -15*v. Suppose -27*d = -7*d - 120. Let r(p) = -14*p. What is d*b(i) + g*r(i)?
8*i
Suppose -16*h - 49*h = 49*h + 456. Let l(q) = -q - 5. Let b(m) = -m - 5. Give h*b(u) + 3*l(u).
u + 5
Let a(q) = 2*q. Let u = -196 + 201. Suppose -4*z - 3*n = 21 + 2, 25 = -u*z - 3*n. Let w(d) = 23*d - 2. What is z*w(m) + 22*a(m)?
-2*m + 4
Let h(u) = -54 + 141 - 34 - 54. Let g(n) = -9*n - 2. Determine g(o) - 3*h(o).
-9*o + 1
Let y(z) = 7*z - 4. Let n(m) = -13*m + 7. Let q be (6 + -4)*5/(-10) - 404. Let d = -395 - q. Determine d*y(j) + 6*n(j).
-8*j + 2
Let r(b) = 34*b**2 + 511*b + 6. Let p(w) = 29*w**2 + 509*w + 5. What is -7*p(h) + 6*r(h)?
h**2 - 497*h + 1
Let m(w) = -21*w**3 - 13*w**2 - 6*w - 17. Let p(i) = -2*i**3 - 2*i**2 - i + 2. Give -m(g) + 6*p(g).
9*g**3 + g**2 + 29
Let t = 4957 - 4960. Let b(d) = d**2 - 1. Let g(p) = 4*p - 5 + 3 + 4*p**2 - 4*p. Calculate t*b(v) + g(v).
v**2 + 1
Let n(o) = o - 4. Suppose 179*b = 183*b + 20. Let w = -251 + 255. Let i(v) = -3. Determine b*i(q) + w*n(q).
4*q - 1
Let x(j) be the third derivative of -j**6/120 + j**5/60 - j**4/24 + 1915*j**2. Let r(h) = -20*h**3 + 5*h**2 - 5*h. What is 2*r(c) - 10*x(c)?
-30*c**3
Let q(o) = -2*o**3 - 2*o**2 - o - 1. Let g(w) = -81*w**3 - 15*w**2 - 3*w - 4. Calculate -g(y) + 6*q(y).
69*y**3 + 3*y**2 - 3*y - 2
Let q(o) = -7*o**2 - 4*o. Let m(s) = 6*s**2 + 3*s. Suppose 17*x - 27*x - 50*x - 180 = 0. Determine x*m(h) - 2*q(h).
-4*h**2 - h
Let g(f) = -5*f**3 - 6*f**2 + 817*f. Let k(m) = 9*m**3 + 11*m**2 - 1635*m. Calculate 7*g(v) + 4*k(v).
v**3 + 2*v**2 - 821*v
Let b(n) = -8*n - 3. Let g be (-1 - -3)*(-
|
{
"pile_set_name": "DM Mathematics"
}
|
25 or 4034303?
4034303
Is -3 at most as big as 172.61886?
True
Is 5537 equal to 1608?
False
Which is smaller: 3858412 or 3858405?
3858405
Is -46617470 greater than or equal to -46617470?
True
Which is greater: 0.0738 or -51299?
0.0738
Which is smaller: -13020229 or -13020232?
-13020232
Is -521/782354 != 0?
True
Are 139439611/4 and 34859902 unequal?
True
Is 4697 less than 117452/25?
True
Which is smaller: -251630 or -251919?
-251919
Which is bigger: 39473/5 or 6.1?
39473/5
Is 452700061 at least as big as 452700060?
True
Which is bigger: 75073/1743 or 42?
75073/1743
Is -68745180 at most as big as 5?
True
Is 1.52304 greater than or equal to -0.07?
True
Which is smaller: -2/9 or -226942955?
-226942955
Which is greater: -410/3 or -402926?
-410/3
Which is smaller: -993629985/2 or -496814992?
-993629985/2
Which is smaller: 42 or 198460/4621?
42
Which is smaller: 2378402/23 or 103408?
103408
Is -43650 smaller than -43628?
True
Is -13301 at most -13288?
True
Is 163 bigger than -804390?
True
Which is bigger: 3874613 or 3874621?
3874621
Is -7 equal to -364484?
False
Is -0.65 less than 47607?
True
Is -28645610 at least as big as -28645610?
True
Is 160 at most 107078/671?
False
Are -65 and -67262/1033 equal?
False
Are 22722/59795 and 0 non-equal?
True
Which is smaller: -30190 or 100?
-30190
Is 6327445 <= 37964671/6?
True
Which is smaller: -6621 or -403970/61?
-403970/61
Which is smaller: 0 or 16053/108656?
0
Which is smaller: 3 or 1480992?
3
Which is bigger: 1488363 or 1488372?
1488372
Which is bigger: 519599525 or 519599524?
519599525
Which is greater: -6670877/27 or -247069?
-247069
Does 1 = -4/830749083?
False
Are -3768191 and -3768185 non-equal?
True
Are 282693/1409 and 202 unequal?
True
Which is greater: 87657 or 87786?
87786
Which is greater: -1 or 2/956015?
2/956015
Which is bigger: -1405271 or -1405308?
-1405271
Is 1 != -6852968/103?
True
Which is greater: 158477 or 158473?
158477
Which is bigger: 45253071 or 3?
45253071
Is -2518972 at least as big as -34?
False
Which is bigger: 1 or 321/5162?
1
Is -1486314 less than -1486353?
False
Which is bigger: -240332696 or -240332698?
-240332696
Which is smaller: 523 or 511440/979?
511440/979
Which is bigger: 1/23 or -24480?
1/23
Is 9 at least as big as 20/347?
True
Is 3.9 greater than -0.064602?
True
Which is smaller: -14955 or -14844?
-14955
Is -42 at most -712984?
False
Is 0 != 3570/7423?
True
Is -2/7 equal to 34/9667?
False
Which is smaller: 1/700164103 or -1?
-1
Is 1 at most as big as -5/92614193?
False
Which is greater: -661573408 or -661573406?
-661573406
Which is greater: -0.01980234 or -8?
-0.01980234
Is 1526383/9 at least as big as 169598?
True
Which is greater: 1065 or -33043?
1065
Which is bigger: -5381/1298 or -5?
-5381/1298
Are 5670212 and 5670212 equal?
True
Which is smaller: 867/4 or 422?
867/4
Is -116 >= -1266177?
True
Is -1478 at least as big as 257040?
False
Is -20674 equal to -20336?
False
Is -6145702 at most -6145691?
True
Is -1699.997381 greater than 0.1?
False
Which is greater: 18 or -87850.67?
18
Is -2/104619633 at most 0?
True
Do -1 and -14/3444053 have the same value?
False
Is -652972 > 570?
False
Which is bigger: 269785 or 3507222/13?
3507222/13
Which is bigger: 2354 or 9742?
9742
Is 1346595 less than 55210442/41?
True
Are -1 and 29/3779504 equal?
False
Which is smaller: -3795552 or -11386660/3?
-11386660/3
Is 348343 greater than 78/11?
True
Do 23952 and 22250 have the same value?
False
Which is smaller: 2217210 or 2217207?
2217207
Is -2115662 less than or equal to 35?
True
Which is smaller: -17/96925 or 1?
-17/96925
Which is greater: 2/7 or -24380571?
2/7
Which is smaller: 232589 or 232629?
232589
Are -12916292 and -12916295 nonequal?
True
Which is bigger: 61499424/5 or 12299885?
12299885
Is -292682 > 426?
False
Which is smaller: -1108694 or -85?
-1108694
Which is greater: 201254 or -3429?
201254
Which is greater: -5/3 or -33596554?
-5/3
Is -352.2385 less than -0.2?
True
Is -1889720 less than -5669159/3?
True
Is -9003371/6 less than -1500562?
False
Which is smaller: -1253319 or -1253367?
-1253367
Is -3548226 > -3548230?
True
Is 1 > -12/1658761?
True
Is 18257656 less than or equal to 18257656?
True
Which is smaller: 0 or -3/1221103?
-3/1221103
Is 0.015 equal to -531?
False
Is -33 < 4/268943?
True
Is 0 >= 146121.33?
False
Which is bigger: -251652/1853 or -135?
-135
Which is bigger: -146/6805 or 2/7?
2/7
Does -10.345 = 31/7?
False
Which is greater: 973742 or 0.04?
973742
Which is smaller: 43892/513 or 86?
43892/513
Which is bigger: -3.377 or 29911?
29911
Which is smaller: 0.0792 or -0.57711?
-0.57711
Which is smaller: 32182515/38 or 846909?
32182515/38
Is 0 at least -7/9958166?
True
Is -475761 greater than -0.29?
False
Is 7500 less than or equal to 5757?
False
Is -3.71 equal to -1/28069?
False
Does -793175 = -92?
False
Is -191487140 at least -191487132?
False
Is 445 at most 32492?
True
Which is smaller: 2568 or 1357?
1357
Is 93565 smaller than 93577?
True
Is 18180037 smaller than 2?
False
Which is bigger: 15/407 or 0.579?
0.579
Is -80/87 at least -0.6301?
False
Which is smaller: -1638598 or -1638565?
-1638598
Which is greater: 5942639 or 5942640?
5942640
Which is greater: -33515741 or -33515742?
-33515741
Which is smaller: -1375/257417 or 1?
-1375/257417
Which is greater: -144308 or -144319?
-144308
Which is bigger: 750952535 or 2252857603/3?
750952535
Is -1442 bigger than 2612?
False
Which is greater: 60525 or 60367?
60525
Which is smaller: 539/1797 or 1?
539/1797
Is -2/3052712613 at most 1?
True
Which is smaller: 0 or -163/1642389?
-163/1642389
Is -29396 greater than or equal to -21?
False
Which is smaller: 269191 or 269490?
269191
Is 2 at least 4002/1391?
False
Which is smaller: 0.508 or -0.3745?
-0.3745
Is 67172730 at most as big as 67172730?
True
Is 76069 at most as big as 76236?
True
Which is greater: 162215 or -184?
162215
Is 8711/62008 at most as big as -1?
False
Which is smaller: 57 or 1369.19?
57
Are 2613752/265 and 9862 equal?
False
Which is smaller: 5057738 or 5057787?
5057738
Which is greater: -80947267 or -80947269?
-80947267
Is 13 at most 28491/2440?
False
Do 124958 and 124984 have different values?
True
Which is smaller: -69943024 or -69943023?
-69943024
Which is bigger: 892/106761 or 0?
892/106761
Is -10533570/11 smaller than -957596?
True
Which is greater: -325/423746 or 0?
0
Are -333385 and -228 equal?
False
Is 1 equal to -1/161730?
False
Is 4 at least 37229/14471?
True
Is -609458862/7 less than -87065552?
False
Which is greater: 11877639 or 47510559/4?
47510559/4
Which is bigger: 17/1968261 or -1?
17/1968261
Which is smaller: 419.26 or -38?
-38
Is 941 at least as big as 34831?
False
Is -151/3 greater than or equal to 1.473?
False
Which is smaller: 1278272 or 1278330?
1278272
Is -719858 at most as big as -719547?
True
Is 428585547 bigger than 428585546?
True
Which is greater: -66805321 or -66805317?
-66805317
Is -96/92009 greater than or equal to -1?
True
Do 1188599 and 1188600 have different values?
True
Is 21066193 not equal to 231728110/11?
True
Is -16/15023 != -90?
True
Is 10.8134 less than or equal to 1503?
True
Is 28354 at least 25910?
True
Is 55765 less than -208?
False
Which is bigger: 0.1 or 7664089?
7664089
Does 1 = 421138372?
False
Which is bigger: -13 or 11660562?
11660562
Which is bigger: -668.3 or 129.1?
129.1
Is 25143 > 3?
True
Is 1847 at most as big as 48037/26?
True
Which is bigger: -1101 or 0.06686?
0.06686
Which is bigger: 1439/274181 or 1?
1
Which is smaller: -441156/151 or -2921?
-441156/151
Is 0 < 1/638078706?
True
Which is bigger: 8 or 5014176?
5014176
Which is bigger: 3764371 or 3764370?
3764371
Which is bigger: 64/257167 or -8?
64/257167
Which is smaller: -65060 or -65392?
-65392
Which is bigger: 73182 or 1214?
73182
Is 6657772 greater than 126?
True
Which is greater: 6170476 or -13?
6170476
Which is smaller: -0.01 or -563785?
-563785
Which is smaller: -2782775 or -2782779?
-2782779
Which is greater: -20270 or -2371580/117?
-2371580/117
Is -138472 at least as big as -136419?
False
Which is bigger: -34096 or -34191?
-34096
Which is smaller: -1193 or 150319?
-1193
Which is smaller: 156/927175 or 0?
0
Is 1 less than or equal to -12/10071445?
False
Which is greater: 5004656 or 2?
5004656
Are -1978112 and 2.7 equal?
False
Which is greater:
|
{
"pile_set_name": "DM Mathematics"
}
|
-7*2/(-1))/(5*34/(-51)).
-21/5
Evaluate (40 + 17367/(-420))/(3/5).
-9/4
2764/132 + (-61)/((-18117)/18)
21
Calculate (12/156*780/72)/((-1)/(-6)).
5
What is 4*(4/(-5) - 8910/(-2200))?
13
Evaluate (39 - 18) + (-1 - -4)*-2.
15
What is the value of 27/2 + 145/(725/(-60))?
3/2
What is the value of (-260 - -258)*38/4?
-19
What is the value of 2 - -2*(-2 + (-77)/(-14))?
9
What is the value of 2/34 - (-147424)/9248?
16
Evaluate 618/(-1030) + (-1)/((-1)/6) + -5.
2/5
Evaluate (-24)/(-54)*(-72)/(-16).
2
5 - (-4 - -5)/1*20265/4095
2/39
What is (-184)/(-23) - (-6 - 186/(-12))?
-3/2
(8075/2850)/(10/(-12))
-17/5
What is the value of (-9)/30 + 42/34020*-657?
-10/9
What is (-3)/((55/(-2))/(615/(-369)))?
-2/11
(-46)/(-4) - (-40 + (-26 - -81))
-7/2
Evaluate 12*(6 - ((-168)/112)/((-3)/16)).
-24
Evaluate (513/(-4218))/(18/(-8)).
2/37
What is (-18)/(-27)*(1/(-3))/(111/(-27))?
2/37
What is the value of (322/4186)/((-2)/13)?
-1/2
What is 40/(-3) - (37 - (-468)/(-9))?
5/3
What is the value of -5 - -22 - (36 + -28)?
9
Calculate (-22)/(-143) + (-2144)/(-2288).
12/11
What is the value of 42/126 - (-13)/(-26)?
-1/6
What is 5/(-3)*546/(-21385)?
2/47
What is (189288/(-2664) - -64) + -2*3/(-111)?
-7
What is the value of (120/21 - 6)*(-98)/(-28)?
-1
Calculate (-27)/6 + 6 + (1 - 0).
5/2
What is the value of 252/(-48)*((-864)/42)/6?
18
Calculate -5*(6 + -2 - 7/(280/304)).
18
(-2)/(-18) + 1 + (-2795)/(-117)
25
14560/(-18018) - (-8)/18
-4/11
Calculate 1056/(-77) + -9 + (-305)/(-35).
-14
Evaluate (-15)/6*(-684)/(-570).
-3
What is (((-266)/126)/(-19))/((-45)/60)?
-4/27
Evaluate (-58)/((-4640)/1488) - (-2)/5.
19
What is (41895/70)/57*(2 + (-16)/9)?
7/3
What is 1177/3638 + (-1)/2?
-3/17
2*9/18*5
5
Calculate 2/(-100)*(-60)/(-168)*7.
-1/20
Calculate (-2)/6 - (8 - 2/(32/176)).
8/3
Evaluate 632/(-44) + 20/55 + -5.
-19
What is ((-1 - -2)*((-63)/18 + 8))/(-12)?
-3/8
(-7 - (4 + (-147)/14))/(-2)
1/4
Calculate (8 + -2)*741/342.
13
What is (-9 - -1)/(-1) + -8399 + 8397?
6
What is ((-2)/3)/(413/1593)?
-18/7
Evaluate ((-36)/(-42))/((132/(-224))/11).
-16
What is (-2)/(-8)*(-2 - (-4 + 1))/(-1)?
-1/4
Calculate -53 - (-23)/(322/350).
-28
Calculate (3 - 9)/(-18) - 100/120.
-1/2
What is the value of (-478)/956*((-3)/(-2))/3?
-1/4
What is the value of (-173 + 170)/(1/9)?
-27
Evaluate (15 + (-1008)/64)*8.
-6
Evaluate (-596)/(-298)*(-2)/(-2).
2
(-5)/(9*1 - 4312/528)
-6
Calculate (-12*17/357)/(13/7 - 1).
-2/3
((-240)/280 - (-356)/399)/((-1)/9)
-6/19
Evaluate 1677/(-129) - (0 - (0 + 3)).
-10
What is the value of (0 - (-1)/(-6))*(63/(-10) + 6)?
1/20
What is the value of (12/42 - (-60)/378)/(14/9)?
2/7
Calculate ((-3360)/(-49))/10 + -8.
-8/7
Calculate (270/375)/((-108)/(-240)).
8/5
What is ((-255)/(-136))/((-21)/(-168))?
15
Evaluate (-4402)/(-21142) - (-3)/(-11).
-2/31
(-1 + 65/68)/((84/32)/(-7))
2/17
(-2)/21 + ((-332)/42 - (28 + -29))
-7
Calculate (-1452)/(-104) + (-244)/(-6344).
14
((290/29)/(8*-1))/((-13)/260)
25
Evaluate (-12)/2 - ((-117)/(-9) - 48).
29
What is the value of (-17)/(-9)*330/935?
2/3
Calculate (-130)/(-7 + 17) + (5 - 2).
-10
What is the value of 9 + 1 + 149/(33972/(-2304))?
-2/19
What is 24514/(-11781) - 72/(-44)?
-4/9
Evaluate 894/(-1192)*20/3 + 23.
18
What is ((-12)/36*-15)/1?
5
What is (-133)/(-76)*24/(-252)?
-1/6
Evaluate ((-9)/42)/(-3)*(-8)/16*-8.
2/7
(255/340)/(15/(-4))
-1/5
Evaluate (-70)/(-40)*(-215)/(-70) - 15/40.
5
What is 17 + (2 - 22) - (13 + -2)?
-14
What is (-288)/5904 + (-2464)/(-82)?
30
What is the value of (4 + -5)*(1 + 2)*(-374)/66?
17
What is ((14 - 20) + 9)*-3?
-9
What is 270/882*-21 + (-4)/7?
-7
Evaluate (-6 + 2)/((-58)/(-232)).
-16
Evaluate (-2)/8 + 0 + 1*(-544)/(-1152).
2/9
What is (15/540 - 5/20)/(10/9)?
-1/5
Calculate 372/(-144) + (-4 - (70/(-8) - -4)).
-11/6
Evaluate ((-4)/5)/((-3174)/(-5290)).
-4/3
Evaluate (48/420)/((48/(-108))/((-42)/27)).
2/5
What is 4*(-17 + (-15282)/(-900))?
-2/25
(-240)/800 - 38/(-60) - 7/399
6/19
What is the value of ((-6465)/(-285) - 28) + (12/2 - 1)?
-6/19
Calculate (-31)/(-620) + 594/120 + 24.
29
What is the value of 3*-2 + 13/(-221)*-85?
-1
Calculate (-7 - -1)/((366/244)/(-5 + 1)).
16
Evaluate (-11)/3*(-79 + 82).
-11
What is the value of 9/(54/(-12)) - (9 + -20)?
9
93/19 + (2/(-4))/(2/20)
-2/19
Evaluate (-21)/(-14) + (-90)/40.
-3/4
What is (9 - (-407)/(-44))/((-9)/16)?
4/9
Evaluate (4 - 5*(-6)/(-9)) + 117/27.
5
What is 2 + (3 - 0) + (-24)/(-8)?
8
-3 - (15/(-6) - (-2 + (-7)/(-2)))
1
Calculate (-12)/(-15)*-2*(-30)/4.
12
Evaluate 10/6*(-4106)/51325.
-2/15
Calculate (-969)/34*1*((-20)/6 + 4).
-19
What is (-7 - 2440/(-352)) + -5 + (-63)/(-12)?
2/11
What is (-63)/(-49) - 4*(-6)/168?
10/7
Calculate (-2384)/(-152) - (-240)/(-15).
-6/19
Evaluate (-3)/(-9)*-6 + (-2714)/(-1475).
-4/25
7/(-5) - (-5192)/2360
4/5
What is the value of (11 - 1 - 407/66) + -5?
-7/6
Calculate (-6 + 1 - 0)/(10/(-24)*4).
3
Evaluate ((-2)/19)/((-29670)/49020).
4/23
4/(-6)*36/(-15)*(-2)/80
-1/25
(-1200)/312 + 4 - 154/(-13)
12
(-54)/2160*670 + (-1)/(4/(-3))
-16
5/(-2)*(-296)/(-185)
-4
-8*(86/(-215))/(3*12/225)
20
Calculate 1/8 + 990/(-1200) + (-1)/(-5).
-1/2
What is the value of 207/(-138)*12/(-9)*1?
2
What is 7 - (3 + 343/35 - 6)?
1/5
What is the value of 6/18 - 1/21?
2/7
What is 308/(-264)*(-4)/(-7) - 98/6?
-17
Calculate 108/(-15) + (-285)/19*(-6)/15.
-6/5
3/(3/2)*(-668)/334
-4
What is (14/(-12) - 0)*((-742)/(-196))/53?
-1/12
Calculate (-4)/68 + (-15255)/765.
-20
Evaluate ((-16)/(-25 - -41))/((-2)/38) + -2.
17
Calculate ((-2259)/1757)/(4/(-112)).
36
Evaluate (406/26)/7 + (0 + -3 - -1).
3/13
What is 54*2/4*76/114?
18
Calculate 935/23375 + 174/25.
7
What is the value of (2082/(-694))/(1 + 106/(-4))?
2/17
Calculate (-5)/87*(-108)/90 + (-666)/(-435).
8/5
What is the value of (-427)/35 - (117/15 + -7)?
-13
What is the value of (28/3)/2 - (-30)/(-75)*10?
2/3
What is the value of (85/15)/((11/33)/1)?
17
Evaluate 71/(213/(-12)) - (60/21)/(-1).
-8/7
What is the value of 1 + (14 - 23) + -4 + -1?
-13
What is 12486/(-14567) - (-167)/(-7)*-1?
23
Evaluate (1/8*2)/(-2 - (-2607)/264).
2/63
What is (-238)/714*(2 + 34 - 0/(-3))?
-12
Evaluate ((-5663)/(-4045))/((-2)/(-5)*-2).
-7/4
What is the value of (-65659)/(-1892) + -32 + (-2)/(-43)?
11/4
8/14 + (1334/336 - 1064/228)
-1/8
9 + (3 - 2) + (-2356)/186
-8/3
(8/(-180)*-1)/((-7)/((-882)/70))
2/25
Calculate (-4389)/(-1485) - (-1)/(-2)*(-6)/(-1).
-2/45
What is (0*(-6)/42 - 90/(-60))/(-6)?
-1/4
Evaluate (-28)/(-168) - (-1464)/(-3600).
-6/25
What is the value of (-5)/45*((-2)/5)/(104/(-260))?
-1/9
What is the value of 15 + 14460/(-580) + 10?
2/29
Calculate 3 + -3 + ((-792)/27)/(-8).
11/3
Evaluate 35/(-2) - (-68 + 56).
-11/2
What is the value of (84 - 85)/(1/14)?
-14
(-74)/2331*(-39)/26
1/21
Calculate (-92)/(-966) - (4 - 10/3).
-4/7
(-2 + 4)*((-4)/(-1) - (-12)/8)
11
Calculate (-9)/(((-3645)/60)/27).
4
(-4)/145*((-1425)/50 + 31)
-2/29
What is 1152/512*2/3*(-4)/1?
-6
218/(-44) + ((-78)/897 - 117/(-23))
1/22
Calculate 14*8/(-16) + -2 + 5.
-4
Evaluate ((-168)/112)/((-27)/8).
4/9
Calculate 513/38 - (-210)/(-15).
-1/2
What is the value of 724/905*10/36?
2/9
Evaluate (-80)/12*2/(-3)*24/(-32).
-10/3
Evaluate 284/10 - -9 - (-54)/(-135).
37
Evaluate (-1 - -1 - (-66)/36) + (-14)/7.
-1/6
12 + (3 - (15 - 7))
7
Evaluate (-933)/1866 + (-9)/(-15).
1/10
What is the value of 1420/1065*(-7)/(392/60)?
-10/7
-1*2 - (-23 - (-32 - -7))
-4
What is (126/252)/(3/(-22))?
-11/3
Calculate (-10)/2 - (-79 - -84).
-10
4 + 350/(-20) - (-5)/(-10)
-14
10*(-13)/(-18) + 21/(14 - 17)
2/9
Evaluate 13/2 - (-1075)/(-172).
1/4
Evaluate (-70)/(-91) + 11826/(-3510).
-13/5
What is -10 + 96/342*36?
2/19
What is (-24)/(-28)*(-1400)/2200?
-6/11
Evaluate 570/54 + 24/54 + 3/1.
14
(464/754)/(-4) - ((-14)/416)/(-1)
-3/16
Evaluate ((-1206)/(-90) - 15)/(-4).
2/5
Evaluate (-11 + (-630)/(-56) - 1)/((-2)/(-48)).
-18
Evaluate (-3)/((-40)/15 - 690/(-270)).
27
Evaluate (-18)/(108 + 0)*-6.
1
60/(-3 + 8) - 4
8
What is (752/8 + 4)*(4/7)/2?
28
What is (11/(-5))/((-190)/(-950))*(1 + -2)?
11
Evaluate 43 - 44 - (-7)/2.
5/2
Evaluate (1080/385)/2 - 60/70.
6/11
What is 340/(-75) + (-13)/390*-6?
-13/3
Calculate ((-1110)/777 - 55/(-14)) + -2.
1/2
What is the value of (-131175)/(-10065) + 2/(-61)?
13
Evaluate 12480/1536 + -10*1.
-15/8
What is (-4)/((11/66)/(((-15)/(-9))/(-5)))?
8
Calculate (-24)/108*((-12)/(-77) + 18/
|
{
"pile_set_name": "DM Mathematics"
}
|
ert 49697.307 seconds to days.
0.5752003125
What is 28.2559 millennia in decades?
2825.59
How many nanograms are there in 235220.2mg?
235220200000
How many millimeters are there in thirteen quarters of a meter?
3250
How many years are there in 1/10 of a millennium?
100
How many seconds are there in three fifths of a day?
51840
What is 715471.3l in millilitres?
715471300
Convert 2592.4485 months to centuries.
2.16037375
How many millilitres are there in one quarter of a litre?
250
What is twenty-five halves of a milligram in micrograms?
12500
What is 37457.25kg in grams?
37457250
What is seven quarters of a milligram in micrograms?
1750
Convert 645.2557nm to micrometers.
0.6452557
What is 152.8264 weeks in nanoseconds?
92429406720000000
Convert 78.30029 millennia to decades.
7830.029
What is twenty-five quarters of a century in months?
7500
How many minutes are there in 23400.576s?
390.0096
What is 2624.862mm in meters?
2.624862
What is 10.29214g in tonnes?
0.00001029214
What is 224.9235s in milliseconds?
224923.5
What is 18/5 of a kilogram in grams?
3600
How many hours are there in 583.11378 seconds?
0.16197605
What is 906953.4 millimeters in kilometers?
0.9069534
Convert 65315.39 days to weeks.
9330.77
What is three tenths of a litre in millilitres?
300
What is 6/25 of a day in seconds?
20736
How many millilitres are there in thirteen fifths of a litre?
2600
What is 284447.2nm in micrometers?
284.4472
Convert 98779.2ml to litres.
98.7792
What is 32/5 of a litre in millilitres?
6400
How many millilitres are there in 1/4 of a litre?
250
How many grams are there in 17/4 of a kilogram?
4250
How many millimeters are there in 43/2 of a centimeter?
215
Convert 4752.616 decades to millennia.
47.52616
What is sixty-one halves of a meter in centimeters?
3050
What is 47/4 of a millennium in decades?
1175
How many millilitres are there in 47/4 of a litre?
11750
Convert 0.8799529 milligrams to kilograms.
0.0000008799529
What is 21/8 of a millennium in years?
2625
What is 11/4 of a litre in millilitres?
2750
What is 3/5 of a litre in millilitres?
600
How many hours are there in 32/7 of a week?
768
What is 91.8 centimeters in nanometers?
918000000
Convert 8158.799m to millimeters.
8158799
What is 20107.746us in hours?
0.000005585485
How many millimeters are there in 8.836592m?
8836.592
Convert 86.39336l to millilitres.
86393.36
How many millilitres are there in 26/5 of a litre?
5200
What is 205.1244 millilitres in litres?
0.2051244
How many millennia are there in 5574.945 months?
0.46457875
How many millilitres are there in 2.683215l?
2683.215
How many hours are there in 0.3938934 minutes?
0.00656489
What is 3/10 of a litre in millilitres?
300
Convert 1787.022 decades to centuries.
178.7022
What is 54/5 of a milligram in micrograms?
10800
What is 3/5 of a minute in milliseconds?
36000
How many years are there in twenty-one fifths of a decade?
42
How many days are there in 11255616.9s?
130.27334375
How many nanometers are there in 75.3868m?
75386800000
Convert 1232.415g to nanograms.
1232415000000
What is 7/3 of a year in months?
28
How many millilitres are there in 3/50 of a litre?
60
What is three tenths of a meter in millimeters?
300
How many litres are there in 176921.6ml?
176.9216
Convert 2052.2619 minutes to days.
1.425181875
What is 1/4 of a litre in millilitres?
250
How many millilitres are there in 25.50611 litres?
25506.11
What is twenty-seven quarters of a minute in seconds?
405
Convert 250626.6 milligrams to nanograms.
250626600000
How many kilograms are there in 74/5 of a tonne?
14800
What is 21/2 of a centimeter in millimeters?
105
What is 26/5 of a centimeter in millimeters?
52
What is thirteen quarters of a microsecond in nanoseconds?
3250
How many micrometers are there in one sixteenth of a centimeter?
625
What is three eighths of a litre in millilitres?
375
What is 3/25 of a tonne in kilograms?
120
What is 0.6724163 milligrams in micrograms?
672.4163
How many meters are there in 90664.8 kilometers?
90664800
Convert 0.3263464 centimeters to nanometers.
3263464
What is 9.285837 centuries in years?
928.5837
How many millilitres are there in eighty-seven halves of a litre?
43500
Convert 329.538 litres to millilitres.
329538
What is fifty-seven sevenths of a week in days?
57
Convert 0.5612091 years to millennia.
0.0005612091
What is 11/4 of a millimeter in micrometers?
2750
What is 73084.6ns in milliseconds?
0.0730846
How many nanograms are there in 11/2 of a microgram?
5500
How many kilograms are there in 2/125 of a tonne?
16
How many litres are there in 3.822369ml?
0.003822369
Convert 20219.59 nanograms to micrograms.
20.21959
What is 55.12611 months in decades?
0.45938425
How many months are there in 0.0307333 decades?
3.687996
What is one sixth of a millennium in months?
2000
What is thirteen fifths of a litre in millilitres?
2600
How many millilitres are there in 29/5 of a litre?
5800
What is 0.3272636nm in centimeters?
0.00000003272636
How many millilitres are there in twenty-seven halves of a litre?
13500
How many micrograms are there in 3/8 of a milligram?
375
What is 11/4 of a millennium in years?
2750
What is 86.2086m in millimeters?
86208.6
How many days are there in 4/7 of a week?
4
How many nanograms are there in 11/10 of a microgram?
1100
How many millilitres are there in one quarter of a litre?
250
What is fourty-nine quarters of a century in months?
14700
What is one tenth of a meter in centimeters?
10
Convert 83.68398 millimeters to centimeters.
8.368398
Convert 0.7880907g to tonnes.
0.0000007880907
Convert 21474.5 weeks to seconds.
12987777600
Convert 221.659um to kilometers.
0.000000221659
How many millilitres are there in eleven halves of a litre?
5500
What is one quarter of a meter in centimeters?
25
What is 8.149776 litres in millilitres?
8149.776
How many months are there in 1/5 of a decade?
24
How many days are there in 5.7099699 minutes?
0.003965256875
Convert 0.4996515ml to litres.
0.0004996515
How many months are there in 32/5 of a millennium?
76800
How many nanometers are there in 0.4092231m?
409223100
What is 21/2 of a litre in millilitres?
10500
What is 21/5 of a litre in millilitres?
4200
What is fifteen quarters of a kilometer in meters?
3750
What is fourty-six fifths of a kilogram in grams?
9200
How many milliseconds are there in 7.348835 days?
634939344
Convert 4661.182 millimeters to meters.
4.661182
What is six fifths of a decade in months?
144
How many millilitres are there in 3/10 of a litre?
300
What is 442320.4 milligrams in grams?
442.3204
How many millennia are there in 90139.98 decades?
901.3998
What is 5.155073ml in litres?
0.005155073
How many hours are there in 27/4 of a day?
162
What is 0.2677493mg in grams?
0.0002677493
How many milligrams are there in one sixteenth of a kilogram?
62500
Convert 6843.035 nanometers to micrometers.
6.843035
What is one sixth of a year in months?
2
Convert 65752.76 weeks to seconds.
39767269248
How many centimeters are there in 18643.61km?
1864361000
How many millilitres are there in 5/8 of a litre?
625
What is 17/4 of a litre in millilitres?
4250
Convert 235950.8 millilitres to litres.
235.9508
Convert 7436.7909 seconds to days.
0.08607396875
How many years are there in 3/40 of a millennium?
75
What is 21/4 of a litre in millilitres?
5250
What is 18/5 of a week in minutes?
36288
What is 10.96136 decades in millennia?
0.1096136
How many kilograms are there in 0.425134ng?
0.000000000000425134
How many millilitres are there in three tenths of a litre?
300
What is three tenths of a kilometer in meters?
300
What is 963.9209mg in kilograms?
0.0009639209
How many months are there in 31/6 of a decade?
620
Convert 0.7793378 decades to centuries.
0.07793378
How many kilograms are there in 548295.7 nanograms?
0.0000005482957
What is 904.9146 hours in microseconds?
3257692560000
How many kilometers are there in 0.337292m?
0.000337292
What is 0.7648389ml in litres?
0.0007648389
What is 3/25 of a milligram in micrograms?
120
What is 215462.55 months in millennia?
17.9552125
What is seven quarters of a centimeter in micrometers?
17500
How many millilitres are there in 53/4 of a litre?
13250
What is 488.8405 millennia in years?
488840.5
How many micrograms are there in seventee
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 3*o + 359
What is the b'th term of 33, 16, -21, -84, -179, -312, -489, -716?
-b**3 - 4*b**2 + 2*b + 36
What is the o'th term of -166, -311, -454, -595, -734, -871?
o**2 - 148*o - 19
What is the o'th term of 49, 68, 107, 172, 269, 404, 583, 812?
o**3 + 4*o**2 + 44
What is the y'th term of 1479, 1499, 1553, 1659, 1835, 2099, 2469, 2963?
3*y**3 - y**2 + 2*y + 1475
What is the p'th term of 76, 66, 62, 70, 96, 146, 226?
p**3 - 3*p**2 - 8*p + 86
What is the d'th term of -47, -181, -405, -719, -1123?
-45*d**2 + d - 3
What is the g'th term of 1442, 1439, 1434, 1427, 1418, 1407?
-g**2 + 1443
What is the u'th term of -15, -57, -125, -219, -339, -485, -657?
-13*u**2 - 3*u + 1
What is the s'th term of 187, 181, 165, 133, 79, -3, -119, -275?
-s**3 + s**2 - 2*s + 189
What is the o'th term of -200, -249, -296, -341, -384?
o**2 - 52*o - 149
What is the f'th term of -1499, -2995, -4489, -5981?
f**2 - 1499*f - 1
What is the n'th term of 8, 46, 110, 200, 316, 458?
13*n**2 - n - 4
What is the m'th term of -43, -84, -143, -226, -339, -488?
-m**3 - 3*m**2 - 25*m - 14
What is the z'th term of 64, 214, 464, 814?
50*z**2 + 14
What is the o'th term of 611, 614, 619, 626, 635, 646?
o**2 + 610
What is the u'th term of -29, -45, -45, -29, 3?
8*u**2 - 40*u + 3
What is the w'th term of 86, 167, 248, 329, 410?
81*w + 5
What is the g'th term of -10713, -10712, -10711?
g - 10714
What is the r'th term of -20, -38, -64, -92, -116?
r**3 - 10*r**2 + 5*r - 16
What is the j'th term of 1838, 1826, 1800, 1754, 1682, 1578, 1436?
-j**3 - j**2 - 2*j + 1842
What is the v'th term of 171, 160, 149?
-11*v + 182
What is the j'th term of -10279, -10274, -10267, -10258, -10247, -10234?
j**2 + 2*j - 10282
What is the q'th term of 27, 15, -9, -51, -117?
-q**3 - 5*q + 33
What is the p'th term of -44, -109, -196, -317, -484, -709, -1004?
-2*p**3 + p**2 - 54*p + 11
What is the h'th term of 3253, 3250, 3245, 3238, 3229?
-h**2 + 3254
What is the w'th term of -380, -1505, -3380, -6005, -9380, -13505, -18380?
-375*w**2 - 5
What is the k'th term of 36, 164, 292?
128*k - 92
What is the l'th term of -38, -77, -116, -155?
-39*l + 1
What is the c'th term of 1, 4, 9, 16, 25, 36, 49?
c**2
What is the l'th term of 58, 185, 388, 661, 998, 1393, 1840?
-l**3 + 44*l**2 + 2*l + 13
What is the g'th term of -758, -759, -770, -797, -846, -923?
-g**3 + g**2 + 3*g - 761
What is the z'th term of 16, 25, 32, 37?
-z**2 + 12*z + 5
What is the g'th term of -1006, -2009, -3014, -4021, -5030, -6041, -7054?
-g**2 - 1000*g - 5
What is the l'th term of 20, 65, 136, 227, 332, 445, 560, 671?
-l**3 + 19*l**2 - 5*l + 7
What is the j'th term of -86, -90, -94, -98?
-4*j - 82
What is the n'th term of -192, -313, -434?
-121*n - 71
What is the r'th term of 76, 74, 82, 106, 152, 226, 334?
r**3 - r**2 - 6*r + 82
What is the i'th term of 3765, 3767, 3769, 3771?
2*i + 3763
What is the i'th term of 79, 208, 427, 742, 1159, 1684, 2323, 3082?
i**3 + 39*i**2 + 5*i + 34
What is the s'th term of 377, 752, 1127, 1502?
375*s + 2
What is the x'th term of 5467, 10938, 16411, 21886, 27363, 32842, 38323?
x**2 + 5468*x - 2
What is the f'th term of 30, 43, 56, 69, 82?
13*f + 17
What is the h'th term of 114, 203, 294, 387, 482?
h**2 + 86*h + 27
What is the f'th term of 0, 19, 74, 183, 364, 635, 1014, 1519?
3*f**3 - 2*f - 1
What is the a'th term of -23219, -23218, -23217?
a - 23220
What is the p'th term of -48, -84, -110, -126, -132?
5*p**2 - 51*p - 2
What is the k'th term of -146, -250, -368, -506, -670, -866, -1100?
-k**3 - k**2 - 94*k - 50
What is the i'th term of -163, -164, -165, -166?
-i - 162
What is the n'th term of 35, 76, 115, 152, 187, 220?
-n**2 + 44*n - 8
What is the i'th term of 16, 28, 32, 16, -32, -124, -272?
-2*i**3 + 8*i**2 + 2*i + 8
What is the g'th term of 6, 0, -18, -54, -114, -204, -330?
-g**3 + g + 6
What is the o'th term of 382, 753, 1116, 1471, 1818, 2157, 2488?
-4*o**2 + 383*o + 3
What is the l'th term of -3625, -3616, -3607, -3598, -3589, -3580?
9*l - 3634
What is the v'th term of -591, -1189, -1787?
-598*v + 7
What is the a'th term of 77, 308, 693, 1232?
77*a**2
What is the g'th term of 995, 1985, 2975, 3965, 4955?
990*g + 5
What is the m'th term of 3, -2, -11, -24, -41, -62, -87?
-2*m**2 + m + 4
What is the k'th term of -65, -64, -63, -62, -61, -60?
k - 66
What is the q'th term of 183, 366, 549, 732?
183*q
What is the a'th term of -120, -122, -130, -144, -164, -190?
-3*a**2 + 7*a - 124
What is the x'th term of -89, -396, -907, -1622, -2541?
-102*x**2 - x + 14
What is the p'th term of 28043, 28041, 28037, 28031?
-p**2 + p + 28043
What is the f'th term of -425, -424, -423, -422, -421, -420?
f - 426
What is the l'th term of -1158, -2317, -3486, -4671, -5878, -7113, -8382, -9691?
-l**3 + l**2 - 1155*l - 3
What is the s'th term of 58, 109, 200, 337, 526, 773, 1084?
s**3 + 14*s**2 + 2*s + 41
What is the a'th term of 49, 163, 343, 583, 877, 1219, 1603?
-a**3 + 39*a**2 + 4*a + 7
What is the y'th term of -19, -47, -83, -127, -179, -239, -307?
-4*y**2 - 16*y + 1
What is the i'th term of -1, 6, 27, 68, 135, 234?
i**3 + i**2 - 3*i
What is the g'th term of -59, -306, -975, -2276, -4419, -7614, -12071?
-35*g**3 - g**2 + g - 24
What is the v'th term of -411, -408, -403, -396, -387, -376, -363?
v**2 - 412
What is the c'th term of 3, -1, 1, 15, 47, 103, 189?
c**3 - 3*c**2 - 2*c + 7
What is the y'th term of 10, -40, -174, -434, -862, -1500?
-7*y**3 - y + 18
What is the n'th term of -15, -74, -173, -312, -491, -710, -969?
-20*n**2 + n + 4
What is the j'th term of 43, 24, -23, -110, -249?
-2*j**3 - 2*j**2 + j + 46
What is the m'th term of 2, -16, -48, -94, -154?
-7*m**2 + 3*m + 6
What is the g'th term of -60, -125, -190, -255, -320, -385?
-65*g + 5
What is the t'th term of -722, -1450, -2174, -2894, -3610?
2*t**2 - 734*t + 10
What is the f'th term of -40, -44, -48, -52, -56?
-4*f - 36
What is the f'th term of -2085, -2087, -2089, -2091, -2093, -2095?
-2*f - 2083
What is the r'th term of -5, -22, -43, -62, -73, -70, -47, 2?
r**3 - 8*r**2 + 2
What is the h'th term of -15, 4, 47, 126, 253, 440?
2*h**3 + 5*h - 22
What is the b'th term of -212, -860, -1940, -3452, -5396, -7772, -10580?
-216*b**2 + 4
What is the a'th term of 97, 63, 13, -47, -111, -173, -227, -267?
a**3 - 14*a**2 + a + 109
What is the r'th term of -73, -161, -249, -337, -425?
-88*r + 15
What is the t'th term of 489, 491, 495, 501, 509, 519, 531?
t**2 - t + 489
What is the j'th term of 1, -102, -385, -938, -1851, -3214, -5117, -7650?
-15*j**3 + 2*j + 14
What is the f'th term of -647, -1295, -1943?
-648*f + 1
What is the a'th term of -210, -209, -208?
a - 211
What is the i'th term of 37519, 37518, 37517?
-i + 37520
What is the j'th term of 21, 40, 85, 168, 301, 496, 765?
2*j**3 + j**2 + 2*j + 16
What is the w'th term of -23, 12, 69, 148?
11*w**2 + 2*w - 36
What is the k'th term of 209, 204, 189, 158, 105, 24, -91, -246?
-k**3 + k**2 - k + 210
What is the t'th term of 15, 84, 265, 612, 1179, 2020?
9*t**3 + 2*t**2 + 4
What is the b'th term of -65, -131, -203, -281, -365?
-3*b**2 - 57*b - 5
What is the l'th term of -66, -130, -192, -252?
l**2 - 67*l
What is the m'th term of -62, -248, -550, -962, -1478, -2092, -2798, -3590?
m**3 - 64*m**2 - m + 2
What is the p'th term of 42, 179, 408, 729, 1142?
46*p**2 - p - 3
What is the x'th term of 146, 292, 438?
146*x
What is the d'th term of -1457, -1440, -1397, -1316, -1185, -992, -725?
2*d**3 + d**2 - 1460
What is the o'th term of -868, -911, -954, -997, -1040?
-43*o - 825
What is the u'th term of -81, -122, -163, -204?
-41*u - 40
What is the x'th term of -5, -22, -49, -86, -133, -190, -257?
-5*x**2 - 2*x + 2
What is the t'th term of 242, 232, 222, 212?
-10*t + 252
What is the o'th term of 14434, 14432, 14430, 14428?
-2*o + 14436
What is the i'th term of -112, -177, -218, -223, -180, -77?
2*i**3 - 79*i - 35
What is the c'th term of 64, 117, 166, 211, 252, 289, 322?
-2*c**2 + 59*c + 7
What is the y'th term of -29, -30, -39, -62, -105?
-y**3 + 2*y**2 - 30
What is the l'th term of -3508, -3509, -3510, -3511, -3512, -3513?
-l - 3507
What is the g'th term of -32, 9, 76, 169, 288, 433?
13*g**2 + 2*g - 47
What is the i'th term of -3, -7, -13, -21, -31?
-i**2 - i - 1
What is the q'th term of 107, 217, 327, 437, 547?
110*q - 3
What is the w'th term of 225
|
{
"pile_set_name": "DM Mathematics"
}
|
t is the smallest common multiple of b and 153?
1530
Suppose -49 - 41 = -18*m. Suppose m*y + 21 = 41, 0 = -4*z - y + 16. Calculate the lowest common multiple of (3/(-6))/((-1)/30) and z.
15
Suppose 0 = -d + 2*b + 36, 3*d = 8*d + 5*b - 120. Suppose -109*j = -115*j + 474. Let i = j - 76. Calculate the smallest common multiple of d and i.
84
Suppose -5*l + 10 = -l + 3*r, -l - r + 2 = 0. Suppose -f = -6*f + 5, -5*c + 4*f + 16 = 0. What is the smallest common multiple of 5/((-70)/(-592)) - l/14 and c?
84
Suppose 0 = 8*l - 70 - 26. What is the lowest common multiple of l and ((-240)/150)/((-2)/170*2)?
204
Suppose p = 3*z - 313, 2*p + 1 + 1 = 0. Calculate the least common multiple of 28 and z.
728
Let h(i) be the first derivative of 15 - 19*i + 7/2*i**2. Calculate the least common multiple of h(7) and 30.
30
Let y = 62863 - 374600609/5959. Let j = y + -566617/381376. Let w = -2/5845 + 113401/23380. What is the common denominator of w and j?
320
Let v = -35752286/766424277 - 1/650063. Calculate the common denominator of v and 4/4323.
12969
Let y(u) = -7*u**2 - 355*u - 100. Calculate the least common multiple of 880 and y(-10).
22000
Let p(u) = 3*u**2 - 35*u + 32. Let o be p(11). Calculate the common denominator of 82*1/o*(-125)/(-200) and -123/10.
40
Let n = 98512 - 1477691/15. Find the common denominator of (-844)/90 + 8/(-36) and n.
15
Suppose -14*c + 22 + 62 = 0. Calculate the common denominator of 3/113 and (5 - 61/c)/((-12)/9).
904
Let u(a) = 6*a**3 + 6*a**2 + 8*a + 2. Let w be u(-2). Let g = w + 46. Suppose -3*l - 2*l + 25 = t, 25 = 5*t. Calculate the lowest common multiple of g and l.
8
Suppose 18 = 4*r + 7*b - 5*b, 5*b - 27 = -4*r. Let g be r*(0 + 1)/1. Find the common denominator of (g/72)/((-5)/1030) and -69/10.
60
Suppose 2*w - 247 = 5*r, -9*w - 3*r - 627 = -14*w. What is the lowest common multiple of 84 and w?
252
Let j = -73501/6532 - -4/1633. Find the common denominator of j and 67/4.
4
Let b be (-57540)/(-156) - (-4)/26. Suppose -2*p = 5*h + b, -4*h - 544 = 3*p - 6*h. What is the common denominator of 5/11 and p/16 + (13 - 13)?
88
Suppose 4 + 0 = 4*o. What is the common denominator of 3003/63*(-1)/6 and 423/54 + 3/o?
18
Suppose -7*w - 24*w + 476 = -18062. What is the lowest common multiple of w and 403?
18538
Let a be 2 - (-2 + 0 + 18). Suppose 14*d + 202 + 78 = 0. Let m = a - d. What is the lowest common multiple of 10 and m?
30
Suppose 102 = 5*h + 4*o, 3*h - 5*o - 120 = -2*h. Calculate the lowest common multiple of 3752/(-12)*(640/70 + -10) and h.
2948
Suppose 9*z = -147 - 105. What is the common denominator of -38/77 and (3/((-81)/30))/(z/(-8))?
693
Let z be -1 - (-1 - 1723)/(-4) - -2. Calculate the smallest common multiple of 14 and z/(-6) + 51/153.
504
Let o(b) = 2*b**3 - 80*b**2 + 4*b - 76. Let s(i) = i**3 - 12*i**2 + 25*i - 44. Calculate the lowest common multiple of o(40) and s(10).
84
Let u be (-5586)/63 - (-1)/(-3)*-2. Find the common denominator of -4 - (114/30)/(u/(-20)) and -17/2.
22
Let o = -3/2780 + 7799/13900. What is the common denominator of o and 8/85?
425
Suppose 14119 + 2891 = 14*t. What is the lowest common multiple of t and 72?
9720
Let j be (-1)/(-1 - (-84)/80). What is the least common multiple of 158 and 6/(-4)*j/6?
790
Let b be (1/(-2)*4)/(-1). Suppose -5*o + 50 = -3*n, -18 = -3*o - o - b*n. Suppose -c = 4*c - 80. What is the smallest common multiple of c and o?
112
Suppose -3*m + 0*m - 193 = -b, -2*m = -6. What is the common denominator of 79/6 and b/(-16)*(-24)/(-18)?
6
Let g be 329/2 + (7 - 4 - 2). Let u = g + -163. What is the common denominator of 103/10 and u?
10
Let s = -38 - -385. Suppose -9*y + 5*t + s = -7*y, 2*y - 344 = 2*t. What is the smallest common multiple of 9 and y?
171
Let y = -17716 + 27643. Let d = 555887/56 - y. What is the common denominator of d and 125/24?
168
Let l = -1188 - -152011/128. Let u = 142 + -269/2. Find the common denominator of u and l.
128
Let p be (-1 - 10/(-8))/((-107)/(-5564)). Suppose -p*n = -23*n + 210. What is the least common multiple of n and 77?
231
Suppose 3545*a - 666 = 3543*a. What is the least common multiple of 6 and a?
666
Let k = -1211419/30 - -40375. Calculate the common denominator of 26/13953 and k.
139530
Let m = -14891 - -14907. Suppose 2*t = 2*o - 6, -o - 2*t = -4*t - 6. Suppose 3*c = 9 - o. What is the least common multiple of c and m?
48
Suppose 2*o = 2*f - 54, -2*o = -6*f + 10*f - 66. What is the lowest common multiple of 14 and f?
140
Suppose h = 3*g + 20393, -5*h = -g - 2*h - 6795. Let b = 108675/16 + g. What is the common denominator of b and -61/144?
144
What is the common denominator of (-385)/(-140) + (-26031)/9324 and -25/814?
17094
Let f(i) = -i**3 + 5*i**2 + 7*i + 6. Let m be f(6). Suppose 0*z + m = 4*z, -2*u + 23 = 3*z. Calculate the smallest common multiple of u and 12.
84
Let r(d) = -d**2 - 13*d - 16. Let p be r(-8). Suppose 13*i - p = 9*i. Calculate the common denominator of (-4)/i*(-147)/224 and -57/26.
208
Suppose -f = r + 2*r - 84, -r + 2*f + 35 = 0. Let j = 44474 - 44464. What is the least common multiple of j and r?
290
Let r be 9 + (15/(-9))/5*3. Suppose 3*n - r = -2. Suppose -n*u - 11*u = -143. Calculate the smallest common multiple of u and 7.
77
Suppose -381 = 7*u + 249. What is the least common multiple of 30 and (3/2)/((3/u)/(-1))?
90
Let k = 26426 - 26420. Suppose -3*w = -5*w + 76. Calculate the least common multiple of w and k.
114
Let s = 36 + -50. Let f = -29360 - -763453/26. Find the common denominator of f and 3 - ((-2607)/(-378) + 4/s).
234
Let p be 564/10*40/6. Let n = p - 695/2. Let o = 639598/3 + -426369/2. Calculate the common denominator of o and n.
6
Suppose -5*x + 301 = -19. What is the least common multiple of x and 289/4 - 251/1004?
576
Find the common denominator of 58/615 and -10 - ((-253)/28290)/((-4)/(-4412)).
1230
Let y = -72 - -72. Let r = -1/58 + 1175/29. Find the common denominator of r and (-4)/192*(-78)/4 - y.
32
Let y be (5/10)/(((-3)/(-1))/51774). Let s = -68931/8 + y. Find the common denominator of s and -93/8.
8
Suppose 10*x = 7*x - 6. Let s be 1 - 12/((x/3)/(-1)). Let k = 40 + s. What is the lowest common multiple of k and 7?
161
Suppose 2*k - 5*o + 0*o = -14, 0 = k + 4*o - 6. What is the smallest common multiple of (2/k*1)/(19/(-399)) and 6 - ((-10)/(-4) - 3)*0?
42
Suppose -4*n = 166*z - 163*z - 3, -5*z + 13 = 4*n. What is the least common multiple of 1063 and z?
5315
Let k(j) = -5*j**3 - 4*j**2 - 7*j + 2. Calculate the smallest common multiple of k(-2) and 70.
280
Suppose -12*g + 324 = -144. What is the smallest common multiple of g and 9?
117
Let y(s) be the first derivative of s**3/3 - 3*s - 3. Let k = 6031 + -6030. Calculate the smallest common multiple of y(-4) and k.
13
Let i = 68/6513 + -387137/6513000. Find the common denominator of 3/8 and i.
1000
Let d = -1603 + 6343/4. Let m = 235799/3540 - 7/708. Let i = -3097/45 + m. What is the common denominator of d and i?
36
Let v(b) = -7*b + 152. Calculate the lowest common multiple of 3 and v(20).
12
Let p(k) = 9*k**2 - 46*k + 89. What is the smallest common multiple of p(2) and 506?
1518
Suppose 0 = -0*o - o + 2. Suppose 3*k = 5*d - 37, 11 = -d + o*k - 6*k. Calculate the lowest common multiple of 8 and (-30)/(-9)*24/d.
16
Let p = 1619 + -1607. Calculate the smallest common multiple of 4520 and p.
13560
Let d be 196/42*36/7. Calculate the smallest common multiple of 459 and (-60)/d*18/(-15).
459
Let x = 26 - 7. Suppose -5*z + x = 4. Suppose z*i + i - 16 = 0. Calculate the least common multiple of 48 and i.
48
Suppose -2*t - 122 = -2*u, 0*u + u = -4*t + 41. Suppose 626 = u*v - 514. Calculate the smallest common multiple of 44 and v.
220
Let n be 345/375 - 6/(-75). What is the common denominator of (-6)/84*34 + (n - 0) and 43/161?
161
Let z = 62258/11 - 25773943/4554. What is the common denominator of 127/192 and z?
13248
Suppose 11*w = 34 + 10. Calculate the smallest common multiple of (-10)/(w/192*-3) and 18.
1440
Suppose 3*p + 14*n - 10*n - 72 = 0, -4*n = -5*p + 88. Calculate the smallest common multiple of 90 and p.
180
Let b be (4710/45)/((-15)/(-9) + -1). Let t = b + -147. Suppose 0 = 3*w - 0*w, 3*v = -2*w + 18. What is the least common multiple of v and t?
30
Let q = 5111 + -224911/44. Let i = -9602 - -422335/44. Let w = q + i. Wh
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 123 wrt o?
-1993956*o**2 - 2
What is the third derivative of -120866*r**4 + 4*r**2 - 2*r + 5025?
-2900784*r
Differentiate -454577*n*r + 248193*r with respect to n.
-454577*r
What is the second derivative of -14*r**2*y**3 + 2*r**2*y**2 + 51639*r**2*y + 156*r*y**2 wrt y?
-84*r**2*y + 4*r**2 + 312*r
Find the second derivative of 1451723*i**2 + 9*i - 5127.
2903446
What is the second derivative of 65*s**4 + 174*s**3 + 8*s**2 - 16859*s - 5?
780*s**2 + 1044*s + 16
Find the second derivative of 101378*m**5 - 2*m**3 + 570021*m wrt m.
2027560*m**3 - 12*m
Differentiate r**3*y - 40*r**3 + 7*r**2*y + r**2 - 7*r*y + 2*r + 1592*y + 1313 wrt y.
r**3 + 7*r**2 - 7*r + 1592
What is the third derivative of -2*b**4*z**2 - 3*b**4*z + 1142*b**4 + 130988*b**2*z**2 wrt b?
-48*b*z**2 - 72*b*z + 27408*b
What is the third derivative of 7*m**5 + 146210*m**3 + 37680*m**2 + 6*m - 4 wrt m?
420*m**2 + 877260
What is the derivative of -40*r**2*t - 11002*r**2 + 4*r*t**2 + t**2 - t wrt t?
-40*r**2 + 8*r*t + 2*t - 1
Find the third derivative of -15*o**6 - 37364*o**3 - 3*o**2 - 124531*o.
-1800*o**3 - 224184
What is the third derivative of -86127*d**4 - 3393832*d**2?
-2067048*d
Find the second derivative of -4290089*i**3 - 7574*i - 311 wrt i.
-25740534*i
What is the first derivative of -16*q*v**2 + 182393*q + 326*v**4 wrt v?
-32*q*v + 1304*v**3
Find the third derivative of 39126*b**3*v**2 - 10990*b**2*v**2 wrt b.
234756*v**2
Find the third derivative of -2107816*r**3*z**2 + 2*r**2*z**2 + 11*r**2 - 3*r*z**2 - r - 650*z wrt r.
-12646896*z**2
Find the third derivative of 176827*d**5 + 158*d**2 + 910.
10609620*d**2
Find the third derivative of -20*d*n**3*r**3 - 468*d*n**3*r**2 + 22*d*n**2*r - 5*d*n**2 + 24*d*n*r**3 wrt n.
-120*d*r**3 - 2808*d*r**2
What is the third derivative of 2236*n**6*r - 41*n**4*r + 2*n**2*r + 85229*n*r - n - r wrt n?
268320*n**3*r - 984*n*r
Find the third derivative of 68612*k**3*q**2 + 7*k**2*q**2 - 2*k**2*q + 1236*k*q - q**2 wrt k.
411672*q**2
What is the second derivative of -32026*d**5*f**2*n + d**3*f**3 - 7*d*f*n - 91*f**3*n - f**2*n - 3*f*n - 17*f wrt d?
-640520*d**3*f**2*n + 6*d*f**3
What is the first derivative of -3*i*n**3*p + 22373*i*n*p + i*n - 235*n**3*p + 12*n**3 + 6*n**2*p - 2*n wrt i?
-3*n**3*p + 22373*n*p + n
Find the first derivative of -2*n**3 - 86*n**2 + 113*n + 478798 wrt n.
-6*n**2 - 172*n + 113
What is the derivative of 1955458*o**2 + 123987 wrt o?
3910916*o
What is the derivative of -2859*i**2 - 153409?
-5718*i
What is the third derivative of 116*d**5 + 2*d**4*q + 8*d**3*q - 889*d**2*q - d*q - 2*d - 2 wrt d?
6960*d**2 + 48*d*q + 48*q
What is the derivative of 26*a**2*p**2 - 2*a**2*p - 40*a**2 + 13777*p**2 wrt a?
52*a*p**2 - 4*a*p - 80*a
What is the second derivative of -36711*p**4 - 19*p + 373?
-440532*p**2
What is the first derivative of 20*g*o**2 + 38*g*o*z + 20*g*o + g*z + 389*o**2*z + 7*o**2 + 54*z + 2 wrt g?
20*o**2 + 38*o*z + 20*o + z
Differentiate -2*f*g*u - 2*f*u + 2468*g**2*u - 1890*u - 4 wrt g.
-2*f*u + 4936*g*u
Find the second derivative of 18364*x**2 - 12293*x wrt x.
36728
Find the second derivative of -185*v**4 + 541*v**3 + 29431*v.
-2220*v**2 + 3246*v
What is the third derivative of 3*y**6 - 13*y**4 - 61*y**3 - 10047*y**2 + 1 wrt y?
360*y**3 - 312*y - 366
What is the derivative of 160212*k - 262077 wrt k?
160212
Find the third derivative of 1124216*h**5 + 93*h**2 - 386*h - 9.
67452960*h**2
What is the second derivative of -6*j*k**5 - 6977*j*k**2 + 1585*j*k - 2*j - k - 1 wrt k?
-120*j*k**3 - 13954*j
Find the second derivative of -19*w**4 - 28*w**3 - 3*w**2 - 107364*w wrt w.
-228*w**2 - 168*w - 6
What is the first derivative of -2*g**4 - 68*g**3 + 62*g - 4177?
-8*g**3 - 204*g**2 + 62
Differentiate 2*i**2 - 123504*i + 814343 wrt i.
4*i - 123504
Find the third derivative of o**4*v + 67*o**4 + 846*o**3 - 244636*o**2 - o*v wrt o.
24*o*v + 1608*o + 5076
What is the third derivative of 2*c**5 - 9*c**4 - 8*c**3 + 2*c**2 - 4082*c - 3?
120*c**2 - 216*c - 48
What is the second derivative of -331774*i**4 - 23*i - 14217?
-3981288*i**2
What is the third derivative of -1692945*p*t**3 + p*t**2 - p*t - 7*p - 9*t**2 + 27 wrt t?
-10157670*p
Find the third derivative of -3*h**6 - 21283*h**3 + 3*h**2 - 1738*h - 2 wrt h.
-360*h**3 - 127698
Find the third derivative of -4*r*t**5 - 21*r*t**2 - 25*r*t + 2*r - 70*t**5 - 14*t**3 + 10*t**2 wrt t.
-240*r*t**2 - 4200*t**2 - 84
What is the second derivative of -1069811*k**2*t**2 - 18*k*t**2 + 2760*k*t - 2*k wrt k?
-2139622*t**2
Find the third derivative of -48*j**6 - 25*j**4*x**2 + 55*j**2*x - 4*j + 69*x**2 wrt j.
-5760*j**3 - 600*j*x**2
Find the second derivative of 11194*d**3*g**2 - 3459*d**3 + 6*d**2*g**5 + 145*g wrt g.
22388*d**3 + 120*d**2*g**3
Differentiate -647*b**2*r - 103*b*i**2*r + i**2*r - 26*i**2 + 4*i*r - r + 218 with respect to b.
-1294*b*r - 103*i**2*r
Find the third derivative of 33098*r**6 - 3*r**2 + 26366*r.
3971760*r**3
Find the first derivative of 336842*s + 1829476.
336842
What is the third derivative of -123619*x**4 - 6*x**3 + x**2 - 99974*x wrt x?
-2966856*x - 36
Find the first derivative of f**3 + 3*f**2 + 364*f - 120522.
3*f**2 + 6*f + 364
What is the second derivative of -2875*d**3 + 200*d**2 + 10272*d - 32?
-17250*d + 400
Find the third derivative of 2*i**4 + 4234*i**3 - 34653*i**2.
48*i + 25404
Find the second derivative of 132*f**4 + 76*f**2 + 58944*f - 1 wrt f.
1584*f**2 + 152
What is the derivative of -17*h**3*k**2 + 22380*h*k**3 + 10904*k**3 + 68*k wrt h?
-51*h**2*k**2 + 22380*k**3
Find the first derivative of -37*w**4 + 79*w**3 - 2*w**2 + 11487 wrt w.
-148*w**3 + 237*w**2 - 4*w
Differentiate 507*y**3 + 6*y**2 + 4*y + 185647 with respect to y.
1521*y**2 + 12*y + 4
Find the third derivative of -3*s**4 + 835*s**3*z**2 + 4*s**2*z**2 - 467*s**2 + s*z - 3*z**2 wrt s.
-72*s + 5010*z**2
Find the first derivative of -6012*o**2 + 28709.
-12024*o
Find the second derivative of -207990*j**3 - 278958*j wrt j.
-1247940*j
What is the third derivative of 6184*h**5 + 2*h**4 - 3*h**3 + 8*h**2 + 30*h - 34 wrt h?
371040*h**2 + 48*h - 18
What is the third derivative of -12735*h**3*y + 88*h**2*y - 3*h*y + 5*h wrt h?
-76410*y
Find the second derivative of 2*k**2*t**3 - 8*k**2*t - k**2 - 1803*k*t**5 + 365*t wrt t.
12*k**2*t - 36060*k*t**3
Find the first derivative of 501*m**4*r*z**2 + 19*m**2*r - 59*r*z**2 + 2*r - 3*z**2 + 83 wrt m.
2004*m**3*r*z**2 + 38*m*r
Find the second derivative of 6*f**3*s**2 - 15*f**3*s - 23*f**3 + 2*f*s + 19*f + 29934*s**2 wrt s.
12*f**3 + 59868
Find the second derivative of 112674*c**3 + 143*c - 412.
676044*c
What is the third derivative of 63*t**3*u**3 - 3*t**3*u**2 + t**2*u - 2*t*u**3 + 381*u**3 - 13647*u**2 wrt u?
378*t**3 - 12*t + 2286
Find the first derivative of -966340*s*v + 195*v - 5 wrt s.
-966340*v
Find the third derivative of -m**2*y**3 + 9*m**2*y**2 + 99822*y**3 - 2*y**2 - 4177 wrt y.
-6*m**2 + 598932
Find the first derivative of 17958*y**4 + 29265 wrt y.
71832*y**3
Find the second derivative of -2*q**2*r**3*w**3 + 32140*q**2*r**2 + 55*q*w**2 + 7*r**3 - 36*r**2*w**3 wrt q.
-4*r**3*w**3 + 64280*r**2
Differentiate 75437*k**4 + 173 wrt k.
301748*k**3
Find the second derivative of -2066037*b**3*g**2*j**2 + 3*b**3*g**2 - 2*b**3*g*j - 66*b**3*j - 3*b**2*g**2*j + 7*b**2*g**2 wrt j.
-4132074*b**3*g**2
What is the third derivative of -54*x**6 + 257*x**3 - 30610*x**2 wrt x?
-6480*x**3 + 1542
Differentiate -2*u**3 - 554*u**2 - 15*u - 476827 with respect to u.
-6*u**2 - 1108*u - 15
Find the third derivative of 17719*c**3*x**3 - 229*c**3*x + c**2*x + 14*x**3 + 37*x**2 wrt x.
106314*c**3 + 84
Find the third derivative of 2279319*u**3 - 3865453*u**2 wrt u.
13675914
Find the second derivative of c*f**2 - 26*c*f - 226*c - 54066*f**2 - 3*f wrt f.
2*c - 108132
What is the second derivative of 14*u**4 - 8655*u**2 - 431455*u wrt u?
168*u**2 - 17310
What is the third derivative of 664154*j**3 + 10*j**2 - 27139 wrt j?
3984924
What is the second derivative of -208*k**5 - 117*k**4 - 11478*k wrt k?
-4160*k**3 - 1404*k**2
What is the derivative of -5320*w**3*x**2 - 41*w**3 + 4*w**2*x**3 + w**2 + 29*w wrt x?
-10640*w**3*x + 12*w**2*x**2
What is the derivative of -44755*o*s*y + 121*o*s + 2*o - 96*s wrt y?
-44755*o*s
Find the first derivative of 4591*f**3 - 536*f + 3234095 wrt f.
1377
|
{
"pile_set_name": "DM Mathematics"
}
|
en 1170 is divided by 56?
50
What is the remainder when 234 is divided by 19?
6
What is the remainder when 94 is divided by 25?
19
What is the remainder when 1180 is divided by 119?
109
Calculate the remainder when 280 is divided by 83.
31
Calculate the remainder when 475 is divided by 5.
0
What is the remainder when 104 is divided by 15?
14
Calculate the remainder when 2094 is divided by 191.
184
What is the remainder when 252 is divided by 51?
48
Calculate the remainder when 4643 is divided by 9.
8
What is the remainder when 87 is divided by 48?
39
What is the remainder when 15 is divided by 13?
2
What is the remainder when 175 is divided by 33?
10
What is the remainder when 2758 is divided by 79?
72
What is the remainder when 566 is divided by 183?
17
What is the remainder when 3199 is divided by 1591?
17
What is the remainder when 127 is divided by 60?
7
Calculate the remainder when 597 is divided by 46.
45
Calculate the remainder when 22557 is divided by 80.
77
Calculate the remainder when 20 is divided by 20.
0
Calculate the remainder when 191 is divided by 96.
95
Calculate the remainder when 6764 is divided by 141.
137
Calculate the remainder when 32 is divided by 5.
2
Calculate the remainder when 6465 is divided by 132.
129
What is the remainder when 322 is divided by 171?
151
What is the remainder when 588 is divided by 25?
13
Calculate the remainder when 186 is divided by 54.
24
What is the remainder when 17475 is divided by 17?
16
What is the remainder when 133 is divided by 29?
17
Calculate the remainder when 39 is divided by 18.
3
What is the remainder when 539 is divided by 21?
14
Calculate the remainder when 148 is divided by 74.
0
Calculate the remainder when 1010 is divided by 46.
44
What is the remainder when 327 is divided by 22?
19
What is the remainder when 149 is divided by 75?
74
What is the remainder when 189 is divided by 32?
29
What is the remainder when 14311 is divided by 34?
31
Calculate the remainder when 185 is divided by 44.
9
Calculate the remainder when 57 is divided by 8.
1
Calculate the remainder when 98 is divided by 13.
7
Calculate the remainder when 202 is divided by 13.
7
Calculate the remainder when 138 is divided by 63.
12
Calculate the remainder when 284 is divided by 8.
4
What is the remainder when 649 is divided by 66?
55
What is the remainder when 174 is divided by 22?
20
Calculate the remainder when 598 is divided by 183.
49
What is the remainder when 19 is divided by 4?
3
Calculate the remainder when 222 is divided by 3.
0
Calculate the remainder when 268 is divided by 38.
2
Calculate the remainder when 589 is divided by 44.
17
Calculate the remainder when 52 is divided by 29.
23
Calculate the remainder when 1550 is divided by 44.
10
Calculate the remainder when 278 is divided by 56.
54
What is the remainder when 343 is divided by 86?
85
What is the remainder when 164 is divided by 15?
14
Calculate the remainder when 180 is divided by 99.
81
Calculate the remainder when 57 is divided by 43.
14
What is the remainder when 17481 is divided by 282?
279
What is the remainder when 544 is divided by 185?
174
What is the remainder when 10 is divided by 10?
0
Calculate the remainder when 811 is divided by 269.
4
Calculate the remainder when 123 is divided by 44.
35
What is the remainder when 271 is divided by 73?
52
Calculate the remainder when 442 is divided by 111.
109
What is the remainder when 325 is divided by 112?
101
What is the remainder when 463 is divided by 52?
47
What is the remainder when 2798 is divided by 25?
23
What is the remainder when 387 is divided by 65?
62
Calculate the remainder when 4029 is divided by 42.
39
What is the remainder when 429 is divided by 71?
3
Calculate the remainder when 1378 is divided by 23.
21
Calculate the remainder when 154 is divided by 58.
38
Calculate the remainder when 434 is divided by 87.
86
Calculate the remainder when 69 is divided by 10.
9
What is the remainder when 3370 is divided by 12?
10
Calculate the remainder when 326 is divided by 174.
152
Calculate the remainder when 2079 is divided by 38.
27
Calculate the remainder when 958 is divided by 198.
166
Calculate the remainder when 1947 is divided by 130.
127
Calculate the remainder when 1477 is divided by 734.
9
Calculate the remainder when 910 is divided by 302.
4
Calculate the remainder when 108 is divided by 99.
9
Calculate the remainder when 679 is divided by 90.
49
What is the remainder when 9284 is divided by 86?
82
Calculate the remainder when 72 is divided by 2.
0
What is the remainder when 417 is divided by 14?
11
Calculate the remainder when 9645 is divided by 67.
64
Calculate the remainder when 2595 is divided by 44.
43
Calculate the remainder when 172 is divided by 2.
0
Calculate the remainder when 893 is divided by 259.
116
What is the remainder when 306 is divided by 28?
26
What is the remainder when 48 is divided by 2?
0
What is the remainder when 8801 is divided by 1756?
21
Calculate the remainder when 496 is divided by 72.
64
What is the remainder when 322 is divided by 81?
79
Calculate the remainder when 70 is divided by 36.
34
What is the remainder when 10911 is divided by 214?
211
What is the remainder when 302 is divided by 17?
13
What is the remainder when 62 is divided by 49?
13
What is the remainder when 139 is divided by 52?
35
Calculate the remainder when 4572 is divided by 199.
194
What is the remainder when 32 is divided by 17?
15
What is the remainder when 348 is divided by 39?
36
Calculate the remainder when 417 is divided by 30.
27
Calculate the remainder when 166 is divided by 19.
14
What is the remainder when 20 is divided by 14?
6
What is the remainder when 51 is divided by 36?
15
What is the remainder when 13385 is divided by 23?
22
Calculate the remainder when 72 is divided by 15.
12
Calculate the remainder when 1723 is divided by 572.
7
Calculate the remainder when 3418 is divided by 11.
8
What is the remainder when 9492 is divided by 38?
30
Calculate the remainder when 191 is divided by 8.
7
What is the remainder when 229 is divided by 7?
5
Calculate the remainder when 330 is divided by 68.
58
Calculate the remainder when 3059 is divided by 36.
35
Calculate the remainder when 1439 is divided by 48.
47
What is the remainder when 3756 is divided by 38?
32
Calculate the remainder when 49 is divided by 26.
23
Calculate the remainder when 313 is divided by 79.
76
What is the remainder when 491 is divided by 160?
11
Calculate the remainder when 271 is divided by 39.
37
Calculate the remainder when 258 is divided by 52.
50
What is the remainder when 62 is divided by 21?
20
What is the remainder when 220 is divided by 17?
16
What is the remainder when 201 is divided by 17?
14
What is the remainder when 875 is divided by 20?
15
Calculate the remainder when 180 is divided by 72.
36
What is the remainder when 1696 is divided by 68?
64
What is the remainder when 1361 is divided by 19?
12
Calculate the remainder when 991 is divided by 245.
11
What is the remainder when 6068 is divided by 23?
19
What is the remainder when 285 is divided by 47?
3
Calculate the remainder when 102 is divided by 7.
4
Calculate the remainder when 20 is divided by 7.
6
Calculate the remainder when 44860 is divided by 29.
26
Calculate the remainder when 158 is divided by 10.
8
Calculate the remainder when 32 is divided by 16.
0
What is the remainder when 1760 is divided by 1755?
5
What is the remainder when 1080 is divided by 267?
12
Calculate the remainder when 827 is divided by 9.
8
What is the remainder when 486 is divided by 103?
74
Calculate the remainder when 219 is divided by 29.
16
Calculate the remainder when 971 is divided by 963.
8
What is the remainder when 127 is divided by 46?
35
What is the remainder when 59 is divided by 15?
14
Calculate the remainder when 516 is divided by 37.
35
Calculate the remainder when 29638 is divided by 380.
378
What is the remainder when 268 is divided by 64?
12
Calculate the remainder when 62 is divided by 21.
20
Calculate the remainder when 244 is divided by 238.
6
Calculate the remainder when 1026 is divided by 512.
2
Calculate the remainder when 217 is divided by 26.
9
What is the remainder when 84 is divided by 35?
14
What is the remainder when 27
|
{
"pile_set_name": "DM Mathematics"
}
|
?
2, 3, 13, 139
What are the prime factors of 2619?
3, 97
What are the prime factors of 1047?
3, 349
List the prime factors of 12389.
13, 953
List the prime factors of 639.
3, 71
What are the prime factors of 9275?
5, 7, 53
What are the prime factors of 3942?
2, 3, 73
List the prime factors of 2075.
5, 83
List the prime factors of 44739.
3, 1657
List the prime factors of 29562.
2, 3, 13, 379
What are the prime factors of 2353?
13, 181
What are the prime factors of 743?
743
What are the prime factors of 360?
2, 3, 5
List the prime factors of 44239.
13, 41, 83
What are the prime factors of 796?
2, 199
What are the prime factors of 8488?
2, 1061
List the prime factors of 9156.
2, 3, 7, 109
List the prime factors of 993.
3, 331
List the prime factors of 22407.
3, 7, 11, 97
List the prime factors of 1536.
2, 3
What are the prime factors of 733?
733
List the prime factors of 46804.
2, 11701
What are the prime factors of 4548?
2, 3, 379
List the prime factors of 1001.
7, 11, 13
List the prime factors of 12488.
2, 7, 223
What are the prime factors of 967?
967
What are the prime factors of 18033?
3, 6011
What are the prime factors of 678?
2, 3, 113
List the prime factors of 175.
5, 7
List the prime factors of 2507.
23, 109
What are the prime factors of 4684?
2, 1171
List the prime factors of 981.
3, 109
List the prime factors of 148472.
2, 67, 277
List the prime factors of 365.
5, 73
What are the prime factors of 373?
373
List the prime factors of 3865.
5, 773
What are the prime factors of 6724?
2, 41
List the prime factors of 302.
2, 151
List the prime factors of 10429.
10429
List the prime factors of 456.
2, 3, 19
What are the prime factors of 20896?
2, 653
List the prime factors of 1542.
2, 3, 257
What are the prime factors of 5919?
3, 1973
What are the prime factors of 1173?
3, 17, 23
What are the prime factors of 5934?
2, 3, 23, 43
What are the prime factors of 1356?
2, 3, 113
List the prime factors of 3271.
3271
List the prime factors of 6553.
6553
List the prime factors of 3674.
2, 11, 167
List the prime factors of 805.
5, 7, 23
List the prime factors of 7387.
83, 89
List the prime factors of 1095.
3, 5, 73
List the prime factors of 5318.
2, 2659
What are the prime factors of 2790?
2, 3, 5, 31
List the prime factors of 192.
2, 3
What are the prime factors of 308?
2, 7, 11
List the prime factors of 13417.
13417
What are the prime factors of 4964?
2, 17, 73
What are the prime factors of 419?
419
What are the prime factors of 5047?
7, 103
What are the prime factors of 1251?
3, 139
What are the prime factors of 708?
2, 3, 59
List the prime factors of 26844.
2, 3, 2237
List the prime factors of 1000.
2, 5
List the prime factors of 16430.
2, 5, 31, 53
What are the prime factors of 379?
379
What are the prime factors of 22113?
3, 7, 13
List the prime factors of 6080.
2, 5, 19
List the prime factors of 1927.
41, 47
What are the prime factors of 140133?
3, 7, 6673
List the prime factors of 183.
3, 61
List the prime factors of 2673.
3, 11
List the prime factors of 464.
2, 29
List the prime factors of 2825.
5, 113
List the prime factors of 1509.
3, 503
What are the prime factors of 205?
5, 41
What are the prime factors of 1097?
1097
What are the prime factors of 26628?
2, 3, 7, 317
What are the prime factors of 71?
71
What are the prime factors of 1585?
5, 317
What are the prime factors of 961?
31
List the prime factors of 6808.
2, 23, 37
What are the prime factors of 20650?
2, 5, 7, 59
List the prime factors of 2054.
2, 13, 79
List the prime factors of 780.
2, 3, 5, 13
What are the prime factors of 773?
773
List the prime factors of 862.
2, 431
What are the prime factors of 4221?
3, 7, 67
What are the prime factors of 1604?
2, 401
List the prime factors of 39985.
5, 11, 727
List the prime factors of 12299.
7, 251
List the prime factors of 26682.
2, 3, 4447
List the prime factors of 75.
3, 5
List the prime factors of 14163.
3, 4721
What are the prime factors of 1715?
5, 7
What are the prime factors of 6415?
5, 1283
List the prime factors of 17377.
17377
What are the prime factors of 392?
2, 7
What are the prime factors of 3549?
3, 7, 13
What are the prime factors of 77585?
5, 59, 263
What are the prime factors of 21?
3, 7
List the prime factors of 252.
2, 3, 7
What are the prime factors of 5691?
3, 7, 271
What are the prime factors of 1100?
2, 5, 11
What are the prime factors of 3862?
2, 1931
List the prime factors of 3784.
2, 11, 43
List the prime factors of 4772.
2, 1193
What are the prime factors of 43135?
5, 8627
List the prime factors of 13400.
2, 5, 67
List the prime factors of 1376.
2, 43
What are the prime factors of 24790?
2, 5, 37, 67
List the prime factors of 1448.
2, 181
What are the prime factors of 511?
7, 73
List the prime factors of 173964.
2, 3, 7, 19, 109
List the prime factors of 21574.
2, 7, 23, 67
List the prime factors of 25246.
2, 13, 971
What are the prime factors of 485?
5, 97
What are the prime factors of 11747?
17, 691
What are the prime factors of 2519?
11, 229
List the prime factors of 8948.
2, 2237
What are the prime factors of 21461?
11, 1951
What are the prime factors of 155359?
43, 3613
List the prime factors of 980.
2, 5, 7
What are the prime factors of 1367?
1367
List the prime factors of 77379.
3, 25793
List the prime factors of 1237.
1237
List the prime factors of 5572.
2, 7, 199
List the prime factors of 36153.
3, 13, 103
List the prime factors of 70386.
2, 3, 11731
List the prime factors of 99513.
3, 11057
What are the prime factors of 78?
2, 3, 13
List the prime factors of 13247.
13, 1019
List the prime factors of 1926.
2, 3, 107
What are the prime factors of 5234?
2, 2617
List the prime factors of 1067.
11, 97
List the prime factors of 4668.
2, 3, 389
List the prime factors of 5615.
5, 1123
What are the prime factors of 20526?
2, 3, 11, 311
What are the prime factors of 1153?
1153
What are the prime factors of 10883?
10883
What are the prime factors of 2167?
11, 197
What are the prime factors of 7594?
2, 3797
What are the prime factors of 14591?
14591
List the prime factors of 78638.
2, 7, 41, 137
List the prime factors of 2476.
2, 619
What are the prime factors of 825?
3, 5, 11
What are the prime factors of 1568?
2, 7
What are the prime factors of 2592?
2, 3
What are the prime factors of 15516?
2, 3, 431
What are the prime factors of 2911?
41, 71
What are the prime factors of 31763?
23, 1381
List the prime factors of 52448.
2, 11, 149
What are the prime factors of 1393?
7, 199
List the prime factors of 472.
2, 59
What are the prime factors of 1176?
2, 3, 7
List the prime factors of 29682.
2, 3, 17, 97
List the prime factors of 43616.
2, 29, 47
What are the prime factors of 18439?
18439
What are the prime factors of 45773?
7, 13, 503
What are the prime factors of 480?
2, 3, 5
List the prime factors of 926.
2, 463
What are the prime factors of 33468?
2, 3, 2789
List the prime factors of 47076.
2, 3, 3923
List the prime factors of 56181.
3, 61, 307
What are the prime factors of 11652?
2, 3, 971
What are the prime factors of 8397?
3, 311
What are the prime factors of 240?
2, 3, 5
List the prime factors of 5291.
11, 13, 37
What are the prime factors of 2946?
2, 3, 491
What are the prime factors of 10200?
2, 3, 5, 17
What are the prime factors of 12564?
2, 3, 349
List the prime factors of 1580.
2, 5, 79
What are the prime factors of 2706?
2, 3, 11, 41
What are the prime factors of 11576?
2, 1447
List the prime factors of 2970.
2, 3, 5, 11
What are the prime factors of 1804?
2, 11, 41
List the prime factors of 120788.
2, 30197
List the prime factors of 186383.
29, 6427
What are the prime factors of 17540?
2, 5, 877
List the prime factors of 992.
2, 31
What are the prime factors of 12313?
7, 1759
What are the prime factors of 17332?
2, 7, 619
List the prime factors of 8138.
2, 13, 313
List the prime factors of 1109.
1109
List the prime factors of 524.
2, 131
What are the prime factors of 3059?
7, 19, 23
What are the prime factors of 539?
7, 11
What are the prime factors of 1303?
1303
List the prime factors of 4817.
4817
List the prime factors of 1149.
3, 383
List the prime factors of 28546.
2, 7, 2039
List the prime factors of 2442.
2, 3, 11, 37
What are the prime factors of 10990?
2, 5, 7, 157
What are the prime fact
|
{
"pile_set_name": "DM Mathematics"
}
|
ithout replacement from lbslbbzzbjjbbzslsbzj. Give prob of picking 2 l and 1 j.
3/380
Calculate prob of picking 1 t and 1 w when two letters picked without replacement from {n: 1, y: 2, t: 1, w: 2}.
2/15
Two letters picked without replacement from {m: 13, j: 6}. What is prob of picking 1 m and 1 j?
26/57
What is prob of picking 2 b when two letters picked without replacement from bssbf?
1/10
Two letters picked without replacement from teudcet. Give prob of picking 1 u and 1 t.
2/21
What is prob of picking 2 r, 1 x, and 1 h when four letters picked without replacement from {h: 5, m: 1, r: 4, y: 1, x: 1}?
2/33
Four letters picked without replacement from {o: 5, q: 6, n: 3, k: 3}. What is prob of picking 1 q, 1 n, and 2 k?
27/1190
Calculate prob of picking 1 o and 2 f when three letters picked without replacement from fffffoofofofo.
70/143
Three letters picked without replacement from {a: 1, w: 1, j: 1, s: 2, f: 2, y: 1}. What is prob of picking 1 j, 1 w, and 1 a?
1/56
Two letters picked without replacement from qqdiiyjqq. What is prob of picking 1 d and 1 j?
1/36
Calculate prob of picking 1 k and 2 e when three letters picked without replacement from ekeekkk.
12/35
Two letters picked without replacement from {j: 1, z: 1, x: 1, a: 1, n: 1}. Give prob of picking 1 n and 1 a.
1/10
Two letters picked without replacement from cbccbcc. Give prob of picking 2 c.
10/21
Three letters picked without replacement from wskiisqiiwwwiwwnsi. Give prob of picking 3 i.
5/204
Two letters picked without replacement from uuww. Give prob of picking 2 w.
1/6
Four letters picked without replacement from {v: 2, s: 5}. What is prob of picking 4 s?
1/7
Three letters picked without replacement from {w: 1, p: 1, u: 13, c: 2}. Give prob of picking 1 w and 2 c.
1/680
Four letters picked without replacement from {d: 1, i: 6, u: 1, q: 7}. What is prob of picking 1 u and 3 q?
1/39
Two letters picked without replacement from qmqsssmsqqsmzl. Give prob of picking 1 z and 1 s.
5/91
Four letters picked without replacement from eaeeaaeeaee. Give prob of picking 1 e and 3 a.
14/165
Calculate prob of picking 3 z and 1 t when four letters picked without replacement from {z: 7, m: 7, t: 2}.
1/26
What is prob of picking 4 s when four letters picked without replacement from xsssxxxsxsxxxxxx?
1/364
Two letters picked without replacement from eizeeeeeeeeeeeeezeze. Give prob of picking 2 z.
3/190
Three letters picked without replacement from {d: 3, r: 2, g: 1, f: 1}. What is prob of picking 1 f, 1 r, and 1 d?
6/35
What is prob of picking 1 n, 1 l, and 1 y when three letters picked without replacement from ywggwywwgwlllgwgn?
3/340
Four letters picked without replacement from {s: 5, a: 3, p: 4}. What is prob of picking 3 s and 1 a?
2/33
Two letters picked without replacement from ggggggggg. What is prob of picking 2 g?
1
Four letters picked without replacement from {m: 2, y: 5, q: 9}. Give prob of picking 2 m and 2 y.
1/182
Three letters picked without replacement from {h: 3, q: 4}. What is prob of picking 3 h?
1/35
Calculate prob of picking 2 n when two letters picked without replacement from nnng.
1/2
Calculate prob of picking 3 n when three letters picked without replacement from {n: 6, r: 6}.
1/11
Four letters picked without replacement from {c: 10, k: 1, w: 1, h: 2}. What is prob of picking 1 h, 1 w, 1 k, and 1 c?
20/1001
What is prob of picking 2 q when two letters picked without replacement from fqqqofqoofofqqfffq?
7/51
Calculate prob of picking 1 q and 1 e when two letters picked without replacement from nlqeqqbbpqqbee.
15/91
Calculate prob of picking 1 d and 1 s when two letters picked without replacement from hdhdshhds.
1/6
Three letters picked without replacement from mqmtqmmmmmmmtmmqtm. Give prob of picking 1 m and 2 t.
3/68
Calculate prob of picking 1 a and 1 j when two letters picked without replacement from {c: 2, j: 10, a: 1, z: 6, o: 1}.
1/19
What is prob of picking 1 x and 1 l when two letters picked without replacement from lbxhlxhlbhxlhy?
12/91
What is prob of picking 1 d and 1 l when two letters picked without replacement from dldc?
1/3
What is prob of picking 2 k when two letters picked without replacement from {i: 6, c: 10, k: 2}?
1/153
What is prob of picking 1 m and 2 h when three letters picked without replacement from {u: 1, f: 6, c: 2, h: 6, r: 1, m: 2}?
5/136
What is prob of picking 2 o and 1 b when three letters picked without replacement from {b: 7, o: 4, e: 2}?
21/143
What is prob of picking 1 n, 1 e, and 1 q when three letters picked without replacement from {n: 4, q: 3, e: 4}?
16/55
Three letters picked without replacement from bjbfbbqbr. Give prob of picking 2 b and 1 r.
5/42
What is prob of picking 1 w and 1 x when two letters picked without replacement from {l: 3, w: 1, x: 3}?
1/7
Three letters picked without replacement from {g: 2, y: 2, i: 2, f: 1, j: 1}. Give prob of picking 1 y, 1 g, and 1 j.
1/14
Calculate prob of picking 2 h, 1 m, and 1 i when four letters picked without replacement from {i: 1, h: 2, d: 3, g: 1, m: 3}.
1/70
Calculate prob of picking 1 s and 1 a when two letters picked without replacement from {q: 3, l: 3, p: 2, s: 5, a: 2}.
2/21
Two letters picked without replacement from jhjjbhjjhhjjbjph. What is prob of picking 1 b and 1 p?
1/60
Calculate prob of picking 2 x and 2 c when four letters picked without replacement from xzooooxcocozozo.
1/1365
Four letters picked without replacement from {x: 3, e: 13}. Give prob of picking 3 e and 1 x.
33/70
Three letters picked without replacement from {u: 4, q: 6, v: 4, e: 1, z: 2, g: 2}. What is prob of picking 1 v, 1 q, and 1 z?
16/323
Three letters picked without replacement from ngneeennggne. Give prob of picking 2 g and 1 e.
3/55
Two letters picked without replacement from {o: 2, w: 1, a: 2, g: 2, n: 2, x: 8}. Give prob of picking 1 x and 1 o.
2/17
Calculate prob of picking 1 s and 3 y when four letters picked without replacement from psssypdpyyyyypdppyu.
35/1292
Calculate prob of picking 1 v, 1 l, and 1 k when three letters picked without replacement from lvdtkvvvvtvtk.
6/143
Two letters picked without replacement from hiq. Give prob of picking 1 q and 1 i.
1/3
Two letters picked without replacement from {w: 9, r: 1, m: 1, n: 3, g: 4}. Give prob of picking 1 m and 1 n.
1/51
Two letters picked without replacement from {p: 5, l: 1, w: 3, x: 1, g: 1, i: 2}. Give prob of picking 1 w and 1 p.
5/26
What is prob of picking 1 j and 1 h when two letters picked without replacement from jhqujhssskju?
1/11
Three letters picked without replacement from {x: 1, w: 4, d: 7, n: 3, y: 3}. What is prob of picking 1 d and 2 y?
7/272
Two letters picked without replacement from opqokkqqqyoko. Give prob of picking 2 k.
1/26
Three letters picked without replacement from xxxccmxxxxcy. Give prob of picking 3 x.
7/44
What is prob of picking 1 n and 1 b when two letters picked without replacement from bdbbrbbttbnbdbtz?
1/15
Calculate prob of picking 2 s when two letters picked without replacement from ppppspppspp.
1/55
Two letters picked without replacement from uugpuuudupupudpduupg. What is prob of picking 2 d?
3/190
What is prob of picking 1 p and 2 q when three letters picked without replacement from bqbqpdja?
1/56
Four letters picked without replacement from xhbbbbxbhbwxxhx. What is prob of picking 1 h, 2 b, and 1 w?
3/91
Four letters picked without replacement from {z: 3, c: 4, m: 2}. What is prob of picking 1 m, 2 c, and 1 z?
2/7
Two letters picked without replacement from {v: 8, w: 3}. What is prob of picking 2 w?
3/55
Two letters picked without replacement from zzzzznzzzn. Give prob of picking 2 z.
28/45
What is prob of picking 1 j and 1 w when two letters picked without replacement from {w: 2, j: 5}?
10/21
Two letters picked without replacement from knvvnnqkvvnnqnvvsvnn. What is prob of picking 1 v and 1 n?
28/95
Calculate prob of picking 3 g when three letters picked without replacement from {q: 3, g: 7}.
7/24
Three letters picked without replacement from {v: 2, j: 17}. What is prob of picking 2 j and 1 v?
16/57
What is prob of picking 1 b, 2 y, and 1 h when four letters picked without replacement from byhh?
0
Calculate prob of picking 2 p when two letters picked without replacement from poorjporrprjjj.
3/91
Tw
|
{
"pile_set_name": "DM Mathematics"
}
|
of sequence ete when three letters picked without replacement from {e: 2, t: 2}.
1/6
Calculate prob of sequence rca when three letters picked without replacement from oofocfccfforka.
1/728
What is prob of sequence gf when two letters picked without replacement from ommofgoooogofgpofoo?
1/38
Two letters picked without replacement from {c: 2, p: 1, b: 1, a: 1, s: 2, w: 2}. Give prob of sequence aw.
1/36
Two letters picked without replacement from rrbrrrrbaavbbaarz. Give prob of sequence vz.
1/272
What is prob of sequence iaa when three letters picked without replacement from jjjaaai?
1/35
What is prob of sequence lr when two letters picked without replacement from {d: 1, k: 1, l: 1, a: 1, r: 1, w: 2}?
1/42
Four letters picked without replacement from {s: 9, h: 9}. Give prob of sequence hhss.
6/85
What is prob of sequence dd when two letters picked without replacement from ddbbb?
1/10
Three letters picked without replacement from {k: 1, y: 3, z: 3}. Give prob of sequence ykz.
3/70
Two letters picked without replacement from vwvwvv. What is prob of sequence ww?
1/15
Three letters picked without replacement from {e: 4, p: 15}. What is prob of sequence ppe?
140/969
Three letters picked without replacement from tiryiyikiyr. What is prob of sequence ytr?
1/165
Three letters picked without replacement from {l: 3, f: 1, j: 1, g: 2}. Give prob of sequence ggf.
1/105
Three letters picked without replacement from {t: 4, m: 1, e: 9, j: 2, f: 1}. Give prob of sequence mjj.
1/2040
Calculate prob of sequence zsww when four letters picked without replacement from {z: 4, s: 8, w: 5}.
4/357
Calculate prob of sequence woo when three letters picked without replacement from {w: 1, n: 1, o: 2, c: 1, y: 1, b: 1}.
1/105
Calculate prob of sequence skw when three letters picked without replacement from {w: 1, g: 2, s: 1, p: 1, a: 2, k: 1}.
1/336
What is prob of sequence tzp when three letters picked without replacement from {p: 4, t: 6, z: 4, m: 4}?
1/51
Three letters picked without replacement from {y: 4, l: 4, w: 1, a: 6}. Give prob of sequence yll.
8/455
Three letters picked without replacement from wlliiwlfklkifgw. Give prob of sequence lfl.
4/455
Four letters picked without replacement from lluublltlbulbluu. What is prob of sequence ubuu?
3/728
What is prob of sequence tt when two letters picked without replacement from {p: 9, t: 11}?
11/38
Calculate prob of sequence ax when two letters picked without replacement from {c: 1, x: 1, e: 1, z: 1, l: 1, a: 2}.
1/21
Three letters picked without replacement from {l: 9, b: 5}. What is prob of sequence bll?
15/91
Calculate prob of sequence aq when two letters picked without replacement from {q: 8, a: 3}.
12/55
Calculate prob of sequence pun when three letters picked without replacement from {u: 3, x: 6, n: 2, m: 2, o: 3, p: 2}.
1/408
Four letters picked without replacement from eehlydw. Give prob of sequence wdey.
1/420
What is prob of sequence gss when three letters picked without replacement from {s: 4, g: 2}?
1/5
What is prob of sequence zrrr when four letters picked without replacement from zzrzzrzzzzrrzzzzrr?
1/51
Four letters picked without replacement from {e: 9, n: 3}. Give prob of sequence neen.
2/55
Four letters picked without replacement from lcccelccclclllc. Give prob of sequence cell.
2/273
Two letters picked without replacement from aqwaaygyqqqqaqgal. What is prob of sequence gq?
3/68
Calculate prob of sequence bg when two letters picked without replacement from {k: 1, g: 1, s: 1, x: 1, b: 1}.
1/20
Four letters picked without replacement from eciieiqcixxsisisssie. What is prob of sequence xesc?
1/1938
What is prob of sequence wwwj when four letters picked without replacement from wwjwj?
1/10
Calculate prob of sequence hhy when three letters picked without replacement from {y: 1, h: 11, r: 2}.
55/1092
Calculate prob of sequence zxx when three letters picked without replacement from {x: 7, z: 7}.
7/52
Calculate prob of sequence jvj when three letters picked without replacement from jjjjjvvjj.
1/6
Two letters picked without replacement from {n: 2, f: 1, g: 1, s: 1}. Give prob of sequence fs.
1/20
Four letters picked without replacement from ogogovnoiv. What is prob of sequence ioin?
0
Four letters picked without replacement from {b: 11, d: 1}. Give prob of sequence dbbb.
1/12
Two letters picked without replacement from uusuussssuuudd. What is prob of sequence uu?
3/13
Four letters picked without replacement from {f: 5, t: 1, i: 4}. Give prob of sequence ifif.
1/21
Two letters picked without replacement from {q: 14, c: 4}. Give prob of sequence qq.
91/153
Three letters picked without replacement from ezzeeeez. What is prob of sequence eee?
5/28
Calculate prob of sequence wwe when three letters picked without replacement from {e: 1, w: 2}.
1/3
What is prob of sequence ez when two letters picked without replacement from {h: 7, m: 1, z: 1, k: 4, r: 3, e: 4}?
1/95
Calculate prob of sequence yo when two letters picked without replacement from ttpypyfopy.
1/30
What is prob of sequence rui when three letters picked without replacement from {m: 4, u: 9, i: 2, r: 3}?
3/272
Calculate prob of sequence xoox when four letters picked without replacement from {x: 2, o: 3}.
1/10
Three letters picked without replacement from {x: 4, b: 4, k: 6}. What is prob of sequence kbk?
5/91
Calculate prob of sequence mek when three letters picked without replacement from jkjjexeejttmemtem.
1/272
Calculate prob of sequence xii when three letters picked without replacement from uuixxxxxiui.
1/33
Calculate prob of sequence xpxz when four letters picked without replacement from xpxzpzxxzxzxzxxx.
3/182
What is prob of sequence df when two letters picked without replacement from fdffdffdffddddffdfdd?
5/19
What is prob of sequence hnnn when four letters picked without replacement from nnhhhnnhhhhhhh?
10/1001
Calculate prob of sequence ziii when four letters picked without replacement from zihhiiihiihhhii.
2/195
What is prob of sequence fni when three letters picked without replacement from nnnnncnnicfnfinniff?
20/969
Three letters picked without replacement from uwouuauuwwuuupauwau. Give prob of sequence wua.
20/969
What is prob of sequence kfc when three letters picked without replacement from {q: 1, i: 2, f: 1, k: 8, c: 6}?
1/102
Two letters picked without replacement from vvsvs. What is prob of sequence sv?
3/10
What is prob of sequence zz when two letters picked without replacement from {k: 1, z: 3, l: 5}?
1/12
Four letters picked without replacement from {r: 4, g: 4, t: 8}. Give prob of sequence tttt.
1/26
What is prob of sequence wrw when three letters picked without replacement from rwrrrwwwawwrrwrrraa?
21/323
Two letters picked without replacement from {p: 3, q: 3}. Give prob of sequence pp.
1/5
Three letters picked without replacement from {g: 6, q: 4}. Give prob of sequence qgg.
1/6
What is prob of sequence wwa when three letters picked without replacement from awaaawawawwaa?
40/429
Four letters picked without replacement from {v: 1, k: 1, w: 1, a: 1, g: 1}. Give prob of sequence vaww.
0
Four letters picked without replacement from {x: 1, y: 1, u: 2, b: 1, a: 1, v: 1}. Give prob of sequence vuxy.
1/420
Three letters picked without replacement from {b: 2, x: 2, n: 2, a: 3, j: 8}. Give prob of sequence bxb.
1/1020
Four letters picked without replacement from qxqxwm. What is prob of sequence xxwm?
1/180
Calculate prob of sequence jlbj when four letters picked without replacement from bbjsbsjssjjjtlstls.
1/612
Calculate prob of sequence jj when two letters picked without replacement from {j: 6, n: 4}.
1/3
Three letters picked without replacement from hfff. Give prob of sequence hff.
1/4
Three letters picked without replacement from nnnpnnpnnnnmsspnmnnn. What is prob of sequence snp?
13/1140
Three letters picked without replacement from {f: 1, a: 5, j: 4}. What is prob of sequence ajf?
1/36
Two letters picked without replacement from sffsfggfqqgy. What is prob of sequence qf?
2/33
Two letters picked without replacement from vvvyddndvdd. What is prob of sequence vy?
2/55
Four letters picked without replacement from {m: 5, x: 2}. What is prob of sequence mxmm?
1/7
Calculate prob of sequence mhe when three letters picked without replacement fr
|
{
"pile_set_name": "DM Mathematics"
}
|
es.
0.00011
What is -1352.549 rounded to 0 dps?
-1353
What is -12256.02 rounded to the nearest one hundred?
-12300
Round -1.0444046 to two dps.
-1.04
What is 1.9024993 rounded to zero decimal places?
2
Round 0.002259027 to six dps.
0.002259
Round -12690.426 to the nearest 10.
-12690
What is -7944.8 rounded to the nearest ten?
-7940
What is -106895.5 rounded to the nearest 1000?
-107000
What is 6204555 rounded to the nearest one million?
6000000
What is -906900 rounded to the nearest one hundred thousand?
-900000
What is -4380.199 rounded to the nearest one hundred?
-4400
Round 365959.94 to the nearest ten thousand.
370000
Round -193.621 to the nearest ten.
-190
Round 165190 to the nearest 100000.
200000
What is 37553.6 rounded to the nearest 100?
37600
What is -1818.75 rounded to the nearest ten?
-1820
Round -0.0000344087 to 5 dps.
-0.00003
What is -6957400 rounded to the nearest 100000?
-7000000
What is 1298.141 rounded to the nearest one hundred?
1300
What is -16878.3 rounded to the nearest one hundred?
-16900
Round 132233 to the nearest one hundred thousand.
100000
What is 216183000 rounded to the nearest one million?
216000000
What is -245.56 rounded to the nearest 10?
-250
What is -1.79058 rounded to two decimal places?
-1.79
What is 0.0069951 rounded to five dps?
0.007
Round -4668816 to the nearest ten thousand.
-4670000
Round -8842.91 to the nearest ten.
-8840
Round 0.000005956367 to seven dps.
0.000006
What is 0.01129719 rounded to four dps?
0.0113
Round -452769.5 to the nearest one hundred.
-452800
Round 106950.8 to the nearest 10000.
110000
What is -5861272000 rounded to the nearest 1000000?
-5861000000
Round 1079500 to the nearest 1000000.
1000000
Round 3000.7058 to the nearest 10.
3000
What is 1629.98 rounded to the nearest 10?
1630
What is -0.0704584 rounded to two decimal places?
-0.07
What is -0.00002476043 rounded to seven dps?
-0.0000248
What is 36060.797 rounded to the nearest 10?
36060
What is -1743470.9 rounded to the nearest ten thousand?
-1740000
Round -0.0152993 to 3 dps.
-0.015
What is -281094 rounded to the nearest one hundred thousand?
-300000
What is 0.0000751493 rounded to four dps?
0.0001
What is 447295650 rounded to the nearest 100000?
447300000
What is -1.129437 rounded to three dps?
-1.129
Round 32179400 to the nearest one million.
32000000
What is 1.4355069 rounded to one dp?
1.4
What is 337.832 rounded to the nearest one hundred?
300
What is 19680 rounded to the nearest one hundred?
19700
What is -169.96 rounded to the nearest ten?
-170
What is 236830 rounded to the nearest ten thousand?
240000
What is -5490.2296 rounded to the nearest one hundred?
-5500
What is 29372.09 rounded to the nearest 1000?
29000
Round 0.000004046138 to 7 dps.
0.000004
What is -0.008131025 rounded to 5 dps?
-0.00813
What is -11892.562 rounded to zero dps?
-11893
Round 772.853 to zero dps.
773
Round 48.2544 to the nearest 10.
50
What is 3618.372 rounded to the nearest 100?
3600
What is -2405100 rounded to the nearest 100000?
-2400000
What is 0.000340273 rounded to 5 dps?
0.00034
Round -909.16 to the nearest one thousand.
-1000
Round 0.00048355 to six dps.
0.000484
What is 0.4509514 rounded to 1 dp?
0.5
Round 660880 to the nearest 100000.
700000
Round -59691.66 to the nearest 1000.
-60000
What is -36.4283 rounded to the nearest 10?
-40
Round 0.0007190562 to five dps.
0.00072
What is 6985.285 rounded to the nearest ten?
6990
What is 636.316 rounded to the nearest 10?
640
What is 0.00002259783 rounded to six decimal places?
0.000023
What is -2205849.7 rounded to the nearest 1000?
-2206000
Round 0.00004216838 to seven dps.
0.0000422
Round -0.00134261622 to four dps.
-0.0013
What is 31.18 rounded to the nearest 10?
30
Round 0.0000332176 to six dps.
0.000033
Round 0.00001772947 to 7 decimal places.
0.0000177
What is 84506.65 rounded to the nearest one thousand?
85000
What is 0.0723831 rounded to two dps?
0.07
What is -9140.216 rounded to the nearest 10?
-9140
What is -1242.28 rounded to the nearest ten?
-1240
What is 0.0010556149 rounded to 5 decimal places?
0.00106
What is -0.02612682 rounded to 5 decimal places?
-0.02613
What is -24.9732 rounded to one decimal place?
-25
Round 18384 to the nearest one thousand.
18000
Round 0.0312697 to four dps.
0.0313
What is 0.0003104055 rounded to 6 decimal places?
0.00031
What is 4913.23 rounded to the nearest 10?
4910
What is 0.00075734138 rounded to 5 decimal places?
0.00076
Round -0.008297982 to five decimal places.
-0.0083
What is 32130.9 rounded to the nearest 100?
32100
What is 0.04046703 rounded to three dps?
0.04
Round -93863600 to the nearest 1000000.
-94000000
What is 17.0519 rounded to two decimal places?
17.05
Round -0.0000045475 to 7 dps.
-0.0000045
What is -0.0000289241 rounded to 5 decimal places?
-0.00003
Round 4.6483 to the nearest 10.
0
Round -0.00002981728 to seven decimal places.
-0.0000298
What is 13.182841 rounded to 1 decimal place?
13.2
Round -0.1877097 to 4 decimal places.
-0.1877
Round -3095 to the nearest 1000.
-3000
Round -43476910 to the nearest 1000000.
-43000000
Round -163168.8 to the nearest ten thousand.
-160000
What is 0.00001042947 rounded to six dps?
0.00001
Round 90393.376 to the nearest one hundred.
90400
What is 0.000007484854 rounded to seven decimal places?
0.0000075
What is -0.0004393316 rounded to five decimal places?
-0.00044
Round -9823700 to the nearest 100000.
-9800000
Round -0.00019970834 to six decimal places.
-0.0002
Round -23403.53 to the nearest one hundred.
-23400
Round 0.00034564 to 4 dps.
0.0003
What is -2438945 rounded to the nearest ten thousand?
-2440000
What is -0.0007685204 rounded to seven decimal places?
-0.0007685
What is 32621.1 rounded to the nearest one hundred?
32600
What is -17.683156 rounded to the nearest 10?
-20
What is 916192 rounded to the nearest ten thousand?
920000
What is 0.003217496 rounded to six decimal places?
0.003217
What is 0.069421 rounded to 1 dp?
0.1
What is -0.220768 rounded to 2 decimal places?
-0.22
Round -475.07 to the nearest 10.
-480
Round -1860.7682 to the nearest 10.
-1860
Round 0.048685558 to 2 dps.
0.05
Round -0.000001745142 to 6 dps.
-0.000002
What is 0.0000080857 rounded to five dps?
0.00001
What is 0.0125765 rounded to two dps?
0.01
What is 0.205795 rounded to two decimal places?
0.21
What is -65924228 rounded to the nearest 100000?
-65900000
What is 0.0005858378 rounded to four dps?
0.0006
What is -2.1286822 rounded to one dp?
-2.1
What is -62614800 rounded to the nearest 10000?
-62610000
What is 147196.4 rounded to the nearest 1000?
147000
What is -2.727209 rounded to 1 dp?
-2.7
What is 1536.33 rounded to the nearest 100?
1500
What is -369.7427 rounded to the nearest integer?
-370
What is -0.0000457262 rounded to five dps?
-0.00005
What is -0.0014975243 rounded to 7 decimal places?
-0.0014975
Round 0.0002129844 to six dps.
0.000213
What is 56.072187 rounded to the nearest ten?
60
Round -3.79674 to 3 dps.
-3.797
What is 0.00549276 rounded to 4 dps?
0.0055
What is 0.00005843655 rounded to 6 decimal places?
0.000058
Round -0.00035311 to 5 dps.
-0.00035
Round -107691.32 to the nearest 1000.
-108000
What is -2364.28 rounded to the nearest 100?
-2400
What is -167666 rounded to the nearest ten thousand?
-170000
What is 0.08825293 rounded to four decimal places?
0.0883
What is -0.000265604 rounded to five decimal places?
-0.00027
What is 0.006663555 rounded to three dps?
0.007
Round -0.0000299623 to 5 decimal places.
-0.00003
What is -0.4296727 rounded to 1 dp?
-0.4
What is -0.057497488 rounded to four decimal places?
-0.0575
Round 58587900 to the nearest 100000.
58600000
Round 103837090 to the nearest one hundred thousand.
103800000
What is -1302261.5 rounded to the nearest one hundred thousand?
-1300000
Round 2.20775 to one decimal place.
2.2
Round 296523 to the nearest 1000.
297000
What is 18514 rounded to the nearest one thousand?
19000
What is -35182.7 rounded to the nearest one hundred?
-35200
Round -10078190 to the nearest 10000.
-10080000
What is -253.912 rounded to the nearest 100?
-300
What is 0.00001596257 rounded to 6 decimal places?
0.000016
Round 2073423.6 to the nearest 10000.
2070000
Round 1634.916 to the nearest integer.
1635
What is -8900010 rounded to the nearest one million?
-9000000
R
|
{
"pile_set_name": "DM Mathematics"
}
|
.
-30246*q**2
Let j(q) = 2*q**2 - 15470*q. Let r(k) = 2*k + 246. Calculate r(j(b)).
4*b**2 - 30940*b + 246
Let y(a) = 836*a**2 + 3*a + 5. Let r be y(-5). Let s(l) = -16*l**2 - r*l + 20890*l. Let f(p) = -p. What is s(f(j))?
-16*j**2
Let m(c) = c**2. Let t(o) = 29*o**2 + 82 - 8*o**2 - 85 + 68*o**2. Let u(b) = 22*b**2 - 1. Let p(h) = 2*t(h) - 9*u(h). Give m(p(g)).
400*g**4 - 120*g**2 + 9
Let o(v) = -6*v - 3. Let y(m) = 2*m**2 + 11329*m - 143. Determine o(y(r)).
-12*r**2 - 67974*r + 855
Let h(y) be the first derivative of 0*y**2 + 1/3*y**3 - 2 + 0*y. Let v(i) = 37*i + 16*i - 96*i + 44*i. Give h(v(g)).
g**2
Let h(r) = r + 167 + 144 + 144 - 455. Let s(t) = -323*t - 11. Let z(l) = 108*l + 4. Let y(d) = -4*s(d) - 11*z(d). Calculate y(h(c)).
104*c
Let x(n) = 2*n. Let q(i) be the second derivative of 1249*i**3/6 - i**2/2 + 2*i - 135. Calculate q(x(y)).
2498*y - 1
Let i(q) = -114*q**2. Let k(c) be the third derivative of 0*c**3 + 0*c**4 + 0 - 1/60*c**5 + 0*c + 166*c**2. Give k(i(d)).
-12996*d**4
Let x(f) = f**2. Let l(c) be the second derivative of 0*c**3 + 0*c**2 + 0 - 163*c - 3/4*c**4. Give x(l(q)).
81*q**4
Let k(s) be the third derivative of 5*s**4/24 + s**2 + 41*s. Let d(n) = 8*n**2 - 1405 + 1405. Calculate k(d(f)).
40*f**2
Let s(a) be the third derivative of -283*a**4/24 + 3*a**2 + 28*a + 8. Let c(q) = 11*q. What is c(s(i))?
-3113*i
Let i(o) be the third derivative of o**4/8 + 1203*o**2. Let r(s) = 28*s - 3. Give i(r(a)).
84*a - 9
Let v(f) = 49*f - 49. Let q(s) = -6*s + 5. Let b(g) = -49*q(g) - 5*v(g). Let k(t) = 3*t**2 + 5*t**2 - 12*t**2. Determine k(b(z)).
-9604*z**2
Let h(y) = -26*y**2 + y. Let l(j) = -4333*j. What is l(h(b))?
112658*b**2 - 4333*b
Let f(c) = -2*c + 176. Let x(m) = -4*m + 396. Let y(b) = -9*f(b) + 4*x(b). Let k(d) = 8164*d. Give k(y(t)).
16328*t
Let d(p) = -80055*p. Let o(l) = -587*l. Calculate d(o(a)).
46992285*a
Let s be 5/(-6 + 20/4). Let q(d) = -2*d. Let i(a) = -2*a**2 - 10*a. Let l(k) = s*q(k) + i(k). Let p(r) = 84*r. Give p(l(m)).
-168*m**2
Let j(h) = -36546*h + 18273*h + 18274*h. Suppose 2*x + 2*x = 0. Let a(y) = -y - y - y + x. Calculate j(a(r)).
-3*r
Suppose -73895 = -17*t - 5640. Let z(q) = -3*q + q + 4058 + 4*q - t. Let v(o) = -o. Determine z(v(d)).
-2*d + 43
Let o(r) = 60*r**2 - 3*r. Let n(z) be the third derivative of z**7/2520 + 29*z**5/15 - 24*z**2. Let y(k) be the third derivative of n(k). What is o(y(s))?
240*s**2 - 6*s
Let p(m) = 8*m**2 + 53*m + 8. Let f be p(-7). Let j(l) = -27*l - f*l - 32*l + 117*l - 24*l. Let n(h) = -10*h**2. Give j(n(k)).
-50*k**2
Let m(c) be the first derivative of 168*c**3 + 1579. Let q(y) = -3*y. Calculate m(q(u)).
4536*u**2
Let r(y) = 7591*y**2 + 7594*y**2 - 22785*y**2 + 7579*y**2. Let q(p) = -21*p**2. Determine q(r(d)).
-9261*d**4
Let o be (0 - 10) + (7 - 3). Let p be (-88)/(-16) + o - (-5)/2. Let t(r) = 14*r**2 - 4*r**2 - 7*r**2 - 4*r**p. Let f(q) = -9*q**2 + 7. Calculate f(t(c)).
-9*c**4 + 7
Suppose 11 = 2*q + 7. Let o(g) = -g**q + 2 + 3 - 2 - 4. Let x(z) = 7*z**2 + 5. Let l(m) = -15*o(m) - 3*x(m). Let s(d) = d**2. What is l(s(k))?
-6*k**4
Let p(u) = -2*u. Let m(h) be the second derivative of -7*h**4/12 - 2*h**2 - 44*h - 1. Let v(z) = -6*z**2 + 2. Let r(b) = 5*m(b) - 6*v(b). Determine p(r(t)).
-2*t**2 + 64
Let a(j) = 3*j**2. Let d(o) = 542*o**2 - 166*o + 2. Calculate d(a(v)).
4878*v**4 - 498*v**2 + 2
Let s(v) = 2*v. Let t(k) be the second derivative of -1259*k**3/6 + 74*k - 8. Determine s(t(a)).
-2518*a
Let g(k) = 5*k**2. Let i(n) = n**2. Let m(f) = 2*g(f) - 14*i(f). Let j(q) = 6*q - 4*q - 12*q - 8*q + 4*q + 1. Calculate m(j(h)).
-784*h**2 + 112*h - 4
Let t(y) = -1131*y + 2256*y - 1131*y - 6 - 28*y**2. Let u(d) = 4*d**2 + d + 1. Let c(o) = t(o) + 6*u(o). Let f(x) = 2*x**2 - 18. Determine c(f(q)).
-16*q**4 + 288*q**2 - 1296
Let r(m) = -2*m**2 - 2*m - 230. Let b(o) = 590010*o - 295005*o - 295006*o. Determine r(b(w)).
-2*w**2 + 2*w - 230
Let j(t) = 276*t + 1. Let d(p) = -1490*p**2 + 3*p + 747*p**2 + 745*p**2 - 3*p. Give d(j(m)).
152352*m**2 + 1104*m + 2
Let t(r) = -4*r. Let p(b) = 64*b - 264*b + 69*b + 63*b + 8 + 63*b. Calculate p(t(x)).
20*x + 8
Let c(o) = 408*o**2 + 16. Let d(u) = -370*u. Give c(d(q)).
55855200*q**2 + 16
Let j(z) = 1454065*z. Let u(n) = n. What is j(u(t))?
1454065*t
Let m(f) = -f**2. Let u(j) = -31*j**2 + 155*j + 16. Let h(a) = 29*a**2 - 181*a - 15. Let q(w) = -6*h(w) - 7*u(w). What is q(m(y))?
43*y**4 - y**2 - 22
Let d(t) = -1712*t. Let h(w) = -5591*w + 2*w**2 - 5596*w + 11187*w. What is h(d(u))?
5861888*u**2
Let a(o) = 5*o**2. Let d(y) = -y**3 + 8*y**2 + y - 1. Let m be d(4). Let w = -65 + m. Let u(v) = -63*v - v**w + 63*v. Determine a(u(x)).
5*x**4
Let p(w) = -2*w. Let r(v) = -5*v**2 - 114. Let m(b) = -b**2 - 1. Let i(g) = 6*m(g) - r(g). Let s(u) be the first derivative of i(u). Give p(s(d)).
4*d
Let h(i) = 3*i**2. Let l(x) be the second derivative of 0*x**2 - 5/12*x**4 + 0*x**3 - 9*x - 5. Give h(l(u)).
75*u**4
Let y(i) = -2*i**2 + 48*i. Let f(t) = -12*t**2 + 272*t. Let u(h) = 6*f(h) - 34*y(h). Let z(k) = 7*k - 16. Give z(u(b)).
-28*b**2 - 16
Let m(i) = 149110*i. Let c(l) = 58*l. Calculate c(m(t)).
8648380*t
Let s(y) = 47*y - 5. Let d(c) = -555750*c. Determine s(d(f)).
-26120250*f - 5
Let g(b) = b**2 + 2*b - 20. Let y(i) = -3*i**2 - 5*i + 50. Let s(r) = 5*g(r) + 2*y(r). Let u(f) be the first derivative of 2*f**2 - 2*f + 3. What is u(s(p))?
-4*p**2 - 2
Let z(n) = -201*n. Let b(i) = 225*i**2 - 2288*i. Give z(b(r)).
-45225*r**2 + 459888*r
Let c(v) = 249*v. Let l(y) be the second derivative of -y**7/2520 - y**4/12 + 21*y**2 - 4*y + 9. Let i(q) be the third derivative of l(q). Give i(c(h)).
-62001*h**2
Let p(n) = -29*n**2. Let d(u) = -u - 26. Let a(x) = -27. Let t(z) = 3*a(z) - 2*d(z). Let k be t(16). Let q(f) = f - k*f + 4*f. What is q(p(g))?
-58*g**2
Let j(t) = 2*t**2. Let m be 15/(-24)*-6*-10*2. Let a = -68 - m. Let u(h) = -17*h**2 + a*h**2 + 0*h**2. Calculate u(j(x)).
-40*x**4
Let j(i) = 24*i + 3. Let p(n) be the second derivative of -2*n**3/3 + 15*n**2/2 + 8055*n. Calculate j(p(y)).
-96*y + 363
Let a(d) = -d. Let w(v) = -22505*v - 4 + 22384*v - 2 + 6. What is a(w(m))?
121*m
Let w(n) = 12*n**2 + 60. Let p(j) = -13*j**2 - 75. Let o(q) = 4*p(q) + 5*w(q). Let a(g) = g - 1. Calculate o(a(u)).
8*u**2 - 16*u + 8
Let c be (-24)/(-20)*(-30)/(-18). Let s(n) = 2*n**2 - 5*n**c + 7*n**2 - 2*n**2. Let g(h) = 4*h**2. Give s(g(b)).
32*b**4
Let j(b) = -b + 2802. Let t(a) = -83*a - 27. Determine j(t(u)).
83*u + 2829
Let u(d) = d + 3. Let g(z) = 18*z - 261. Let n(q) = -5*q + 58. Let y(f) = 2*g(f) + 9*n(f). Calculate u(y(k)).
-9*k + 3
Let w(s) = -5*s. Let g(m) be the third derivative of m**5/60 + m**4/4 - 2*m**3 - 17*m**2. Let f be g(-8). Let h(p) = -3 + p + 7 - f. Calculate h(w(b)).
-5*b
Let z(l) = 2*l. Let n(f) = -50*f - 2719. Calculate z(n(p)).
-100*p - 5438
Let c(r) = -5*r. Let d(t) = -51012*t - 981. Let u(y) = 313*y + 6. Let i(v) = 2*d(v) + 327*u(v). Determine c(i(s)).
-1635*s
Let v(d) be the first derivative of 2 + 5/2*d**2 + 0*d. Let c(a) = 5*a. Let t(k) = 12*k. Let l(h) = 3*c(h) - t(h). Determine l(v(g)).
15*g
Let m = 69 + -67. Let k(c) = 1524*c**2 - 1 - 1516*c**m + 1. Let v(t) be the first derivative of 5*t**3/3 + 3. Give v(k(y)).
320*y**4
Let m(q) = -q**2. Let r(o) = -25*o - 558940. Calculate r(m(w)).
25*w**2 - 558940
Let w(c) = -16 + 3*c + 15 + c + 1. Let s(r) = 61*r**2. Give w(s(n)).
244*n**2
Let z(l) be the third derivative of l**5/60 - 19*l**3/3 - l**2. Suppose -19*i = 10*i - 18328. Let c(p) = -5*p**2 + 7*p**2 - i*p + 632*p. Give z(c(y)).
4*y**4 - 38
Let a(u) = 10*u - 140. Let h(o) = -26*o + 360. Let l(q) = -18*a(q) - 7*h(q). Let j(z) = -1010*z. Give j(l(f)).
-2020*f
Suppose 88*m - 73*m = 45. Let l(h) be the second derivative of 0*h**2 - 6*h + 0*h**m + 0 + 5/12*h**4. Let y(z) = -3*z. Calculate y(l(p)).
-15*p**2
Let i(z) = -11*z**2. Let j(t) = -894*t**2 + 5*t - 15. Let s(l) = 2236*l**2 - 12*l + 36. Let x(r) = -12*j(r) - 5*s(r). What is x(i(q))?
-54692*q**4
Let o(g) = -71*g**2. Let u(z) = 8*z**2 + 62*z - 6. Give u(o(i)).
40328*i**4 - 4402*i**2 - 6
Let j(n) = 67*n**2 - 65*n**2 + n - n. Let m(q) = -18*q**2. Let i(s) = -11*s**2 + 3*s**2 - 9*s**2. Let t(k) = -6*i(k) + 5*m(k). Determine j(t(g)).
288*g**4
Let s(d) = 2*d**2. Let b(k) = -68444737*k**2. Calculate b(s(i)).
-2737
|
{
"pile_set_name": "DM Mathematics"
}
|
7
Calculate prob of picking 1 c, 1 t, and 2 b when four letters picked without replacement from {t: 3, o: 1, s: 3, b: 3, p: 2, c: 1}.
9/715
Three letters picked without replacement from {y: 1, i: 3, f: 1, d: 3, e: 2, o: 9}. What is prob of picking 1 y, 1 f, and 1 d?
1/323
What is prob of picking 1 t and 1 v when two letters picked without replacement from tqvtqqq?
2/21
Calculate prob of picking 4 t when four letters picked without replacement from ttttttbttttb.
14/33
Three letters picked without replacement from {o: 2, z: 1, j: 5, x: 6, l: 2, i: 3}. Give prob of picking 1 j, 1 i, and 1 l.
10/323
What is prob of picking 1 s and 1 x when two letters picked without replacement from {s: 1, x: 1, h: 2, b: 1}?
1/10
Two letters picked without replacement from {u: 4, w: 3, k: 2, y: 1}. What is prob of picking 2 w?
1/15
What is prob of picking 1 x and 3 i when four letters picked without replacement from igxrtgxiqitr?
2/495
Three letters picked without replacement from {i: 1, w: 1, j: 2, x: 2}. What is prob of picking 2 j and 1 i?
1/20
Calculate prob of picking 1 s, 2 a, and 1 l when four letters picked without replacement from {s: 5, a: 5, l: 5, i: 1}.
25/182
Three letters picked without replacement from xyyxyy. Give prob of picking 2 y and 1 x.
3/5
Two letters picked without replacement from jjmjjmmmjjj. Give prob of picking 2 m.
6/55
Two letters picked without replacement from {x: 2, m: 1, w: 3, v: 3, r: 1}. Give prob of picking 2 x.
1/45
Three letters picked without replacement from {f: 2, e: 3}. What is prob of picking 2 e and 1 f?
3/5
Two letters picked without replacement from {w: 9, a: 1, s: 1, p: 2}. Give prob of picking 1 a and 1 w.
3/26
Two letters picked without replacement from bbr. Give prob of picking 1 b and 1 r.
2/3
What is prob of picking 3 m and 1 l when four letters picked without replacement from {j: 1, m: 4, l: 3}?
6/35
Calculate prob of picking 1 l and 1 v when two letters picked without replacement from {y: 2, x: 4, o: 1, l: 1, h: 2, v: 7}.
7/136
Calculate prob of picking 2 c when two letters picked without replacement from {c: 12, w: 3}.
22/35
Three letters picked without replacement from {f: 1, c: 1, k: 2, r: 1, e: 5}. What is prob of picking 1 f, 1 r, and 1 c?
1/120
Two letters picked without replacement from {a: 5, w: 2, d: 1, u: 1, n: 4, m: 2}. Give prob of picking 1 a and 1 n.
4/21
Three letters picked without replacement from dvyqydd. Give prob of picking 1 v and 2 d.
3/35
What is prob of picking 1 v and 1 b when two letters picked without replacement from xbggggxgggggvgxfvxv?
1/57
What is prob of picking 1 f and 1 q when two letters picked without replacement from {f: 7, q: 1}?
1/4
Two letters picked without replacement from {u: 4, d: 1, f: 3, y: 2}. Give prob of picking 1 u and 1 y.
8/45
Two letters picked without replacement from {b: 1, f: 7, a: 5, i: 1}. Give prob of picking 1 f and 1 b.
1/13
Two letters picked without replacement from tcjcfhw. Give prob of picking 1 f and 1 w.
1/21
Three letters picked without replacement from vbcvpuy. Give prob of picking 1 y, 1 u, and 1 b.
1/35
Three letters picked without replacement from {e: 5}. Give prob of picking 3 e.
1
Two letters picked without replacement from rtjjfrtn. What is prob of picking 1 t and 1 n?
1/14
Calculate prob of picking 3 v when three letters picked without replacement from unv.
0
Three letters picked without replacement from {n: 4, d: 1, c: 4, q: 2, u: 6}. What is prob of picking 1 c, 1 u, and 1 d?
3/85
Three letters picked without replacement from bzbzzzzb. Give prob of picking 1 z and 2 b.
15/56
Calculate prob of picking 3 f when three letters picked without replacement from {r: 4, f: 7}.
7/33
Calculate prob of picking 1 u and 3 t when four letters picked without replacement from {u: 3, p: 2, t: 3}.
3/70
Calculate prob of picking 2 m when two letters picked without replacement from {c: 7, f: 3, m: 2}.
1/66
Calculate prob of picking 1 k and 1 j when two letters picked without replacement from {j: 3, k: 1, v: 1}.
3/10
Four letters picked without replacement from {p: 2, x: 1, b: 1, u: 3}. What is prob of picking 3 u and 1 x?
1/35
Three letters picked without replacement from {r: 2, v: 4, p: 3, k: 1, s: 2}. Give prob of picking 1 k, 1 r, and 1 v.
2/55
Three letters picked without replacement from {j: 9, f: 2, d: 7}. Give prob of picking 1 f and 2 d.
7/136
What is prob of picking 2 g and 1 r when three letters picked without replacement from {b: 1, g: 5, r: 7}?
35/143
Two letters picked without replacement from {i: 9, y: 11}. What is prob of picking 1 i and 1 y?
99/190
What is prob of picking 1 u, 1 w, 1 n, and 1 e when four letters picked without replacement from seuuwwwwwwuwwwwwwnsw?
13/1615
Two letters picked without replacement from {n: 5, p: 2, a: 8}. What is prob of picking 1 a and 1 n?
8/21
What is prob of picking 1 a, 1 k, and 1 r when three letters picked without replacement from {b: 3, r: 2, k: 6, d: 2, a: 4}?
6/85
Two letters picked without replacement from uyyuyuuuuuuuyuyyuyyy. Give prob of picking 2 y.
18/95
What is prob of picking 2 w when two letters picked without replacement from nnnnnwwnnwnn?
1/22
What is prob of picking 2 s and 2 u when four letters picked without replacement from {s: 5, u: 5}?
10/21
Calculate prob of picking 3 e when three letters picked without replacement from {j: 1, r: 3, e: 3, f: 3}.
1/120
What is prob of picking 1 e, 1 g, and 1 x when three letters picked without replacement from ggegexegexgegg?
5/26
Two letters picked without replacement from {r: 2, d: 4, w: 3, k: 1}. What is prob of picking 2 d?
2/15
Calculate prob of picking 2 l when two letters picked without replacement from {a: 1, l: 3}.
1/2
Calculate prob of picking 4 l when four letters picked without replacement from {l: 6}.
1
Three letters picked without replacement from pvpppvp. Give prob of picking 2 v and 1 p.
1/7
Three letters picked without replacement from gigagiig. Give prob of picking 3 i.
1/56
What is prob of picking 1 g, 1 w, 1 z, and 1 r when four letters picked without replacement from {g: 1, z: 1, w: 1, r: 2}?
2/5
Four letters picked without replacement from {i: 9, d: 3}. Give prob of picking 1 d and 3 i.
28/55
Calculate prob of picking 2 d and 1 i when three letters picked without replacement from {y: 6, o: 1, i: 1, k: 1, d: 3}.
3/220
Two letters picked without replacement from eedhnmmehdeeneh. What is prob of picking 2 m?
1/105
Three letters picked without replacement from scsssscssssscs. What is prob of picking 1 s and 2 c?
33/364
Three letters picked without replacement from {h: 5, q: 14}. Give prob of picking 2 q and 1 h.
455/969
Two letters picked without replacement from xllttlxxxlx. Give prob of picking 1 l and 1 t.
8/55
Two letters picked without replacement from vfmclfbl. Give prob of picking 1 c and 1 b.
1/28
Calculate prob of picking 2 n, 1 x, and 1 i when four letters picked without replacement from ncjkijixjnnnni.
30/1001
Two letters picked without replacement from {w: 1, j: 9, b: 6, u: 3}. Give prob of picking 1 b and 1 j.
6/19
Four letters picked without replacement from jsjyyyljyjlsjwjbjjwy. What is prob of picking 2 l, 1 j, and 1 w?
16/4845
Calculate prob of picking 3 e when three letters picked without replacement from {e: 3, l: 5}.
1/56
Four letters picked without replacement from qpqhqqqrqpqqhqyqqp. What is prob of picking 1 y and 3 p?
1/3060
Four letters picked without replacement from {r: 2, k: 3, h: 2, l: 2}. What is prob of picking 1 k, 1 r, and 2 h?
1/21
Four letters picked without replacement from ojookoboo. What is prob of picking 3 o and 1 k?
10/63
Two letters picked without replacement from {d: 3, g: 3, z: 1, m: 2, e: 1, l: 7}. Give prob of picking 2 l.
21/136
Four letters picked without replacement from hxhhhxhxw. What is prob of picking 1 w, 2 x, and 1 h?
5/42
Calculate prob of picking 1 d and 3 g when four letters picked without replacement from {g: 4, p: 4, a: 4, d: 6}.
2/255
Two letters picked without replacement from bfb. Give prob of picking 1 f and 1 b.
2/3
What is prob of picking 1 s and 1 d when two letters picked without replacement from osodvvooooovdw?
2/91
What is prob of picking 1 u and 1 t when two letters picked without replacement from wwuwlwtl?
1/28
What is prob of picking 2 t when two letters
|
{
"pile_set_name": "DM Mathematics"
}
|
lify -3*2*sqrt(396) - (1*(sqrt(33)/sqrt(3))**2 + 1).
-36*sqrt(11) - 12
Simplify 2 + (sqrt(132) - (-6*(sqrt(132) - 2*sqrt(132)) - sqrt(132) - sqrt(132)) - sqrt(132))/sqrt(12) + 2 + sqrt(11)*-1*-5.
sqrt(11) + 4
Simplify (sqrt(704) + 0 + -1 + sqrt(704))*3 + 1*(-2 + (sqrt(704) - -1*sqrt(704))).
-5 + 64*sqrt(11)
Simplify sqrt(7) + -6*sqrt(14)/sqrt(2) + 4 + -5 + (6*((sqrt(7) + 1)*5 + 2))**2.
2515*sqrt(7) + 8063
Simplify ((sqrt(900)*2 - sqrt(36))/sqrt(12))**2 - ((sqrt(300)*5)/sqrt(4))**2.
-1632
Simplify (((sqrt(88) - -1*sqrt(88)*1) + sqrt(88) + sqrt(88)*1*-5)/(sqrt(32)/(-2*sqrt(100))))**2.
4400
Simplify 5*((-3 + (sqrt(77) + (sqrt(77) - -1*sqrt(77) - sqrt(77) - sqrt(77))*2)/(-3*sqrt(7)*2 - sqrt(7)))**2 + 4).
30*sqrt(11)/7 + 3240/49
Simplify -4*(2 + sqrt(192) + sqrt(192)) + sqrt(30)/(1*sqrt(360)).
-383*sqrt(3)/6 - 8
Simplify 6*6*((sqrt(175) + -2)**2*-3 - (5 + sqrt(175) + 0)).
-19512 + 1980*sqrt(7)
Simplify ((sqrt(750) - 2*sqrt(750)*-2)/(sqrt(54)/(sqrt(36)/sqrt(4)*-6)))**2.
112500
Simplify (sqrt(136)*-5*-2)/((sqrt(8) - sqrt(968))*-2)*-1.
-sqrt(17)/2
Simplify (6*(sqrt(720) + sqrt(720)*-1) + -4 + (sqrt(720) + 0 + sqrt(720) + 2 + sqrt(720) - (5 + -2*sqrt(720))))**2.
-840*sqrt(5) + 18049
Simplify 2*(2 + (3 + sqrt(320) - sqrt(320)))*1.
10
Simplify (-2*sqrt(13) + 2 - sqrt(117)*5)**2 + ((0 + sqrt(13) + sqrt(13) + -2)**2 - ((sqrt(143)*2)/sqrt(11))**2).
-76*sqrt(13) + 3765
Simplify ((sqrt(200) + -1)*-6)**2 - (((sqrt(18))**2 + 1 - sqrt(2)) + 5 + -3).
-719*sqrt(2) + 7215
Simplify ((-2 + 1 + sqrt(288)*2)*1)**2.
-48*sqrt(2) + 1153
Simplify ((sqrt(2448) + -1)*4 - sqrt(2448) - ((sqrt(2448) - (sqrt(2448)*2 + sqrt(2448))) + -5)) + -3 + 1*(sqrt(2448)*-1 - sqrt(2448)) + 4.
2 + 36*sqrt(17)
Simplify -5*(sqrt(528)/sqrt(3) + -1 + 1 + sqrt(11) + -2 + ((-2*sqrt(110) - sqrt(110)) + sqrt(110) + sqrt(110))/sqrt(10)).
-20*sqrt(11) + 10
Simplify (-1*((sqrt(117) - 3*1*sqrt(117)) + (-4 + 1*sqrt(117) - sqrt(117))))**2.
48*sqrt(13) + 484
Simplify -3 + ((2*sqrt(200) + sqrt(200))**2 - sqrt(8)*-3) + sqrt(600)/sqrt(48).
17*sqrt(2)/2 + 1797
Simplify 4*(sqrt(130) + sqrt(130)*2)/sqrt(10) + sqrt(208) + 3 + 1 + (sqrt(13)*-1)**2.
17 + 16*sqrt(13)
Simplify (5*(sqrt(1008)*-2 + sqrt(1008)) + sqrt(1008))**2 + -3 + (-2*sqrt(49) - sqrt(49))/sqrt(7).
-3*sqrt(7) + 16125
Simplify -4 + ((3*1*sqrt(288))**2 + -3)*-6.
-15538
Simplify (4 + -2*(sqrt(704) + -4 + (2*sqrt(704))**2) + -4)*1.
-5624 - 16*sqrt(11)
Simplify ((sqrt(128) - -5*(sqrt(128) - sqrt(128)*2)**2) + (sqrt(128) + 3)*-2)*-6 + 0.
-3804 + 48*sqrt(2)
Simplify 5 + 2*((sqrt(192) + 1 - sqrt(192))**2 - sqrt(192))*-6.
-7 + 96*sqrt(3)
Simplify 2 + (-1 + -1 + 2*sqrt(2299) + sqrt(2299) + 1 + 0 + sqrt(2299))**2.
-88*sqrt(19) + 36787
Simplify (sqrt(143)*-1*1*6)/(-2*sqrt(11)*-5*4).
-3*sqrt(13)/20
Simplify (sqrt(168)/(sqrt(192) - sqrt(12)) + sqrt(686)*1)/(sqrt(49)/sqrt(112) + 4*sqrt(112)).
88*sqrt(2)/195
Simplify -3 + (5*sqrt(36)/sqrt(4))/sqrt(3) + ((sqrt(48)*2 - sqrt(48)) + -2)**2 + -2.
-11*sqrt(3) + 47
Simplify 5 + (1 + sqrt(2) - sqrt(2))*5 + 5 + 3 + -4.
14
Simplify (2*(sqrt(153) - (0 + sqrt(153))))**2 - sqrt(187)/(sqrt(11)*2)*-6.
3*sqrt(17)
Simplify ((0 + (-1 + sqrt(75) - sqrt(75)) - (-1 + -2 + sqrt(75))) + -5)**2.
30*sqrt(3) + 84
Simplify sqrt(375)/sqrt(5)*3 + (sqrt(27)/sqrt(3)*5)/sqrt(3) + 1.
1 + 20*sqrt(3)
Simplify (1*(0 + sqrt(833)))**2*-4 + (-1*((sqrt(833) - (sqrt(833) + sqrt(833) + 0)) + sqrt(833) + -4))**2.
-3316
Simplify (2*(sqrt(448) + sqrt(448)*-1)**2 + (sqrt(700) + sqrt(700) + sqrt(700) + -1 + -5)**2)*3 + -2.
-1080*sqrt(7) + 19006
Simplify 2*(4 + -2*(sqrt(624)/sqrt(192))/((sqrt(24)*-1)/sqrt(6))).
sqrt(13) + 8
Simplify (5*2*(sqrt(605)*-4 - sqrt(605)) + 3)**2.
-3300*sqrt(5) + 1512509
Simplify (sqrt(80)/(sqrt(40)/sqrt(8) + sqrt(5)) - sqrt(16) - sqrt(16))/(sqrt(128) + -3*sqrt(128)) + 4.
3*sqrt(2)/16 + 4
Simplify (2 + 3 + -1*((-5*(sqrt(1053) - (sqrt(1053) + 1)) - sqrt(1053)) + -3))**2.
54*sqrt(13) + 1062
Simplify (3 + -2 + sqrt(243) + -1 + 0)*2.
18*sqrt(3)
Simplify ((-3 + ((sqrt(1100) + sqrt(1100)*3)*-4 - (-5 + 2*sqrt(1100) + sqrt(1100))))*-5)**2.
-19000*sqrt(11) + 9927600
Simplify sqrt(44) + 1 + -1*sqrt(176) + (1*1*sqrt(88) - sqrt(88))/sqrt(8).
-2*sqrt(11) + 1
Simplify 2 + -2 + 2 + ((sqrt(21)*-1)/sqrt(7) - (sqrt(3) + sqrt(30)/(-1*sqrt(10))))**2.
5
Simplify (((sqrt(17) - (sqrt(1088)*3 + sqrt(1088))) + -5*sqrt(425) + sqrt(425))*-2)**2.
176868
Simplify (-3*(-2*sqrt(25)*1)/(sqrt(320)*-3 + sqrt(320))*2)**2.
45/16
Simplify (sqrt(700) - (-2 + sqrt(700) + -2)) + 1*(sqrt(700) + 1*sqrt(700) + sqrt(700)) + 1.
5 + 30*sqrt(7)
Simplify (sqrt(7) - (sqrt(35)/(sqrt(25)/sqrt(5)))**2) + sqrt(35)/sqrt(20) - (-3 + (sqrt(7) - 3*sqrt(7))**2 + 5 + -2*sqrt(7)).
-37 + 7*sqrt(7)/2
Simplify ((sqrt(605) + -3 + sqrt(605) - sqrt(605)) + -1 - (sqrt(605) - (0 + sqrt(605) + 3)))**2.
-22*sqrt(5) + 606
Simplify 6*(sqrt(15)/sqrt(3) + 1)**2 + (-1 + sqrt(5)*3 + sqrt(5))*4.
32 + 28*sqrt(5)
Simplify (5*(4*sqrt(567) + sqrt(567) + sqrt(567)) + -2 - (0 + (sqrt(567)*-4 - sqrt(567)) + 2))**2.
-2520*sqrt(7) + 694591
Simplify 3*-1*(sqrt(18)/sqrt(81)*-3 + 4).
-12 + 3*sqrt(2)
Simplify 2 + 0 + sqrt(2)*3 + sqrt(792)/sqrt(11).
2 + 9*sqrt(2)
Simplify (6*((sqrt(1872) + -1 + sqrt(1872) - sqrt(1872)) + -5))**2 - (-1 + (sqrt(1872)*-3*-3)**2).
-82943 - 5184*sqrt(13)
Simplify (-3*sqrt(325)*1 - (-1 + 4 + sqrt(325)))**2 + -4.
120*sqrt(13) + 5205
Simplify -2 + ((sqrt(224) - sqrt(224)*-2)/(sqrt(128) + sqrt(128)*1 - sqrt(128)))**2.
55/4
Simplify (sqrt(35) + -6*((sqrt(35) - sqrt(35)*-2) + sqrt(35)) - sqrt(35))/(sqrt(126)/sqrt(2) + sqrt(63)) + -4.
-4*sqrt(5) - 4
Simplify 1*(((sqrt(45) - sqrt(135)/sqrt(3)) + -5 + 5 + sqrt(45)*-2)**2 - (-4 + -2 + (sqrt(45) - sqrt(45)*1))).
186
Simplify ((sqrt(120) + -3*(2*sqrt(120) + sqrt(120) - sqrt(120)) + sqrt(120))/sqrt(2))/(6*sqrt(12)*1*-2)*1.
sqrt(5)/3
Simplify (sqrt(144) - -1*sqrt(144)*4)/(1*(sqrt(3) + sqrt(3) + 2*sqrt(27) - sqrt(3))).
20*sqrt(3)/7
Simplify 3 + -1*(2 + sqrt(1792) + -1*sqrt(1792))*-1.
5
Simplify 5 + (5 + sqrt(21)/(sqrt(33)/(sqrt(88)/sqrt(8))))*2.
2*sqrt(7) + 15
Simplify (((sqrt(3888) - (sqrt(3888) + 0)*-6) + sqrt(3888)*-1 + 5)*-5)**2.
54000*sqrt(3) + 3499825
Simplify -4 + ((sqrt(2880) - (sqrt(2880) + sqrt(2880)*2))*2)/(-1*(2*sqrt(90))/sqrt(10)).
-4 + 16*sqrt(5)
Simplify (-5*(sqrt(114) - 2*sqrt(114))*-2)/((sqrt(24) + (sqrt(24) - (sqrt(48)/(sqrt(2)*-1) - sqrt(24)) - sqrt(24)))/sqrt(4)).
-10*sqrt(19)/3
Simplify (-4*(-2*sqrt(104) - sqrt(104) - sqrt(208)/(1*sqrt(8)))/((2*sqrt(256) + sqrt(256))/sqrt(2)))**2.
637/36
Simplify (-4 + -2 + ((sqrt(1008) + (sqrt(1008) + sqrt(1008) + 1)*6 - sqrt(1008)) + 3)**2)*1.
2592*sqrt(7) + 145227
Simplify (-5*(1*sqrt(325) + -2 + -3))**2 + 1.
-1250*sqrt(13) + 8751
Simplify 1 + 2 + sqrt(102)/(sqrt(6)*2) + ((sqrt(17) + -2)*-1*-4)**2 + -3.
-127*sqrt(17)/2 + 336
Simplify ((1*sqrt(108) + 2 - sqrt(108)) + 5*sqrt(3)*-1*-4)**2.
80*sqrt(3) + 1204
Simplify (sqrt(342) - (-1*sqrt(342) + sqrt(342) - sqrt(342)) - (sqrt(76)/sqrt(2)*-3 + sqrt(38)))/((sqrt(288) - sqrt(288)*2)*-2).
sqrt(19)/3
Simplify -4 + -2*2*(-4 + (sqrt(55)/(sqrt(88)/sqrt(8)))**2).
-8
Simplify ((-4*(sqrt(195) + sqrt(195)*-3))/sqrt(5))/(sqrt(12)/(2*sqrt(256))).
128*sqrt(13)
Simplify (((sqrt(75) - (sqrt(75) + 2)) + 0 - sqrt(75))**2 + (sqrt(192)*1)**2 + 3 + sqrt(12))*6.
132*sqrt(3) + 1644
Simplify 6*((sqrt(40)/sqrt(2))/sqrt(10))**2*4 - (((2 + sqrt(242))**2 - sqrt(242)) + (sqrt(30)/sqrt(3))/sqrt(5)).
-198 - 34*sqrt(2)
Simplify (((sqrt(90)/sqrt(3))/sqrt(5) - sqrt(6)) + -2*sqrt(18)/sqrt(3))/(-4*sqrt(2)*2*5).
sqrt(3)/20
Simplify ((1 + (2 + sqrt(2)*-1 - (-2*sqrt(2) + sqrt(2) + -4)))*-2)**2.
196
Simplify 5 + (-1 + (1 + sqrt(147) + -1 + 4)**2)*1.
56*sqrt(3) + 167
Simplify sqrt(242) - (sqrt(242) - -2*(sqrt(242) + -1 + sqrt(242)))**2 - 2*sqrt(128)*-1.
-6054 + 247*sqrt(2)
Simplify (-4*(-4 + (sqrt(1100)*2 - sqrt(1100))) + -6*((sqrt(1100) + 1)*-3 + sqrt(1100)))**2.
5440*sqrt(11) + 71556
Simplify (2*sqrt(70)*6)/(sqrt(1000)/sqrt(4))*4.
48*sqrt(7)/5
Simplify (2*(1*sqrt(119)*-1 - sqrt(119)))/(sqrt(7) - sqrt(21)/sqrt(12) - -1*sqrt(700)).
-8*sqrt(17)/21
Simplify ((sqrt(136) + 4*(sqrt(136) + (sqrt(136) + sqrt(136) + -2*sqrt(136) + sqrt(136) - sqrt(136))))/(6*sqrt(10)/sqrt(5)*-6))**2.
425/324
Simplify ((1*sqrt(756)*1 - ((sqrt(756) - sqrt(756)*1)*6 + sqrt(756)))/((1*sqrt(12) + sqrt(12))*-4 + (sqrt(12) - -2*
|
{
"pile_set_name": "DM Mathematics"
}
|
rob of picking 1 w and 1 j.
4/33
Two letters picked without replacement from {d: 10}. What is prob of picking 2 d?
1
Two letters picked without replacement from {p: 1, e: 3, q: 2, g: 2, m: 1, z: 3}. What is prob of picking 2 e?
1/22
Calculate prob of picking 1 x, 2 y, and 1 m when four letters picked without replacement from {y: 4, x: 3, m: 10, c: 2}.
15/323
Two letters picked without replacement from {u: 2, l: 1, b: 1, n: 5}. What is prob of picking 2 u?
1/36
Four letters picked without replacement from {g: 12, s: 1}. What is prob of picking 4 g?
9/13
Calculate prob of picking 1 r and 1 v when two letters picked without replacement from rvv.
2/3
Four letters picked without replacement from {v: 1, x: 2, i: 6, g: 3, s: 3}. Give prob of picking 1 x and 3 s.
2/1365
Four letters picked without replacement from {p: 11, e: 5}. Give prob of picking 4 p.
33/182
Four letters picked without replacement from {s: 1, e: 2, c: 2, p: 4}. What is prob of picking 3 p and 1 e?
4/63
What is prob of picking 1 o, 1 w, and 1 u when three letters picked without replacement from uuuuuwuwuuuwuouuu?
39/680
What is prob of picking 1 u and 1 w when two letters picked without replacement from {t: 1, o: 2, w: 1, u: 1}?
1/10
What is prob of picking 1 d, 2 w, and 1 h when four letters picked without replacement from {r: 5, w: 3, h: 1, d: 1}?
1/70
What is prob of picking 2 m when two letters picked without replacement from {m: 2, v: 2, h: 1, k: 1}?
1/15
Two letters picked without replacement from {i: 2, h: 5}. What is prob of picking 2 i?
1/21
Three letters picked without replacement from zkzkkkznlnnk. What is prob of picking 3 n?
1/220
Calculate prob of picking 3 o and 1 k when four letters picked without replacement from {k: 4, z: 2, o: 3}.
2/63
What is prob of picking 1 h and 2 n when three letters picked without replacement from {n: 18, h: 1}?
3/19
What is prob of picking 2 o when two letters picked without replacement from mmomommmmm?
1/45
Three letters picked without replacement from ghfmxfmxfxxfttxf. What is prob of picking 1 h, 1 m, and 1 x?
1/56
Four letters picked without replacement from {x: 15, u: 3}. What is prob of picking 2 u and 2 x?
7/68
Calculate prob of picking 2 l and 2 e when four letters picked without replacement from {e: 2, u: 1, l: 2, x: 1}.
1/15
Calculate prob of picking 2 v when two letters picked without replacement from ovovvvvv.
15/28
Two letters picked without replacement from xdxxxoooxxo. Give prob of picking 2 x.
3/11
Two letters picked without replacement from {u: 1, l: 1, e: 2, n: 2, v: 1, p: 2}. What is prob of picking 1 p and 1 v?
1/18
Calculate prob of picking 1 e and 2 o when three letters picked without replacement from oleullulloul.
1/220
Three letters picked without replacement from dddcdddcd. What is prob of picking 1 d and 2 c?
1/12
Calculate prob of picking 1 r and 2 g when three letters picked without replacement from {g: 7, r: 2}.
1/2
What is prob of picking 2 i when two letters picked without replacement from iiiisisisis?
21/55
Calculate prob of picking 1 a, 1 c, 1 p, and 1 h when four letters picked without replacement from {p: 2, h: 7, c: 3, q: 3, a: 4}.
14/323
Calculate prob of picking 1 s and 1 u when two letters picked without replacement from {s: 4, x: 4, u: 6}.
24/91
Three letters picked without replacement from noehfnnn. Give prob of picking 1 n, 1 f, and 1 e.
1/14
Four letters picked without replacement from {k: 5, i: 7}. Give prob of picking 2 i and 2 k.
14/33
Four letters picked without replacement from llllpplpllllll. What is prob of picking 4 l?
30/91
Three letters picked without replacement from noirrqiv. Give prob of picking 2 i and 1 v.
1/56
Two letters picked without replacement from {i: 1, f: 1, z: 1, y: 1, m: 3}. What is prob of picking 1 i and 1 y?
1/21
Two letters picked without replacement from rttttrttrttt. What is prob of picking 1 t and 1 r?
9/22
Four letters picked without replacement from wressrrr. What is prob of picking 1 s, 1 r, 1 e, and 1 w?
4/35
Three letters picked without replacement from {p: 2, x: 4, l: 1, a: 1, d: 1}. What is prob of picking 1 a, 1 p, and 1 x?
2/21
What is prob of picking 2 i and 2 t when four letters picked without replacement from {v: 16, i: 3, t: 1}?
0
What is prob of picking 2 a and 2 n when four letters picked without replacement from annaanuannunaauaranu?
196/1615
Three letters picked without replacement from {s: 3, p: 2, b: 4, m: 1, h: 1}. Give prob of picking 2 b and 1 m.
2/55
Calculate prob of picking 4 k when four letters picked without replacement from {y: 2, k: 1, r: 1, s: 4}.
0
Four letters picked without replacement from {n: 4, s: 6, a: 5}. Give prob of picking 4 s.
1/91
Three letters picked without replacement from {s: 2, w: 6, g: 2, j: 1, n: 5, o: 1}. Give prob of picking 2 s and 1 j.
1/680
What is prob of picking 1 e, 1 u, and 1 j when three letters picked without replacement from {j: 2, a: 3, i: 2, u: 6, e: 5}?
5/68
Four letters picked without replacement from {v: 7, f: 3}. Give prob of picking 4 v.
1/6
What is prob of picking 3 m when three letters picked without replacement from qmrmmvc?
1/35
Calculate prob of picking 1 f and 1 t when two letters picked without replacement from {f: 1, t: 1, k: 1, y: 1, z: 1}.
1/10
What is prob of picking 2 n and 2 g when four letters picked without replacement from gggngnn?
18/35
Three letters picked without replacement from pmsomompxmsmmssmxmrs. What is prob of picking 1 r, 1 o, and 1 m?
4/285
Two letters picked without replacement from qejjjeeqjee. Give prob of picking 1 e and 1 q.
2/11
Calculate prob of picking 2 h when two letters picked without replacement from {y: 3, i: 4, q: 1, d: 1, h: 6}.
1/7
Three letters picked without replacement from thgkk. Give prob of picking 1 t and 2 k.
1/10
Calculate prob of picking 1 i, 1 u, and 1 q when three letters picked without replacement from oqqqiiiiqoiiu.
12/143
What is prob of picking 1 w, 1 h, and 2 p when four letters picked without replacement from {h: 1, m: 1, w: 2, p: 4}?
6/35
Three letters picked without replacement from {w: 6, a: 4}. What is prob of picking 3 w?
1/6
Calculate prob of picking 2 q and 1 o when three letters picked without replacement from boqoqoqohoho.
9/110
Four letters picked without replacement from {b: 3, j: 1, p: 8, i: 6}. Give prob of picking 2 i and 2 b.
1/68
Calculate prob of picking 1 f and 2 l when three letters picked without replacement from fmll.
1/4
What is prob of picking 2 j and 1 h when three letters picked without replacement from {j: 2, h: 4, z: 5}?
4/165
Calculate prob of picking 1 o and 1 x when two letters picked without replacement from {k: 2, b: 1, x: 3, s: 4, o: 4}.
12/91
Two letters picked without replacement from wwwwwwwww. Give prob of picking 2 w.
1
Calculate prob of picking 3 j when three letters picked without replacement from clcclljjljccjll.
4/455
Two letters picked without replacement from {p: 2, f: 8, t: 2, r: 6}. What is prob of picking 2 p?
1/153
Two letters picked without replacement from {c: 3, h: 2, o: 9, f: 4}. What is prob of picking 2 h?
1/153
Four letters picked without replacement from {u: 3, j: 1, s: 12}. What is prob of picking 3 u and 1 s?
3/455
Four letters picked without replacement from {w: 3, j: 2}. What is prob of picking 2 w and 2 j?
3/5
Two letters picked without replacement from evbyvbybpbeybveb. What is prob of picking 1 b and 1 v?
3/20
Calculate prob of picking 1 g and 1 e when two letters picked without replacement from {e: 7, q: 2, i: 2, g: 1, o: 1, d: 6}.
7/171
Calculate prob of picking 1 b, 1 k, and 1 f when three letters picked without replacement from bpbfkfbbkffp.
8/55
What is prob of picking 1 c and 1 n when two letters picked without replacement from {h: 1, a: 3, c: 5, t: 4, n: 1, p: 1}?
1/21
Two letters picked without replacement from {g: 3, z: 1}. Give prob of picking 1 g and 1 z.
1/2
Calculate prob of picking 1 n, 1 s, and 2 u when four letters picked without replacement from {s: 2, u: 6, n: 10}.
5/51
Four letters picked without replacement from ofoiioffofioffi. Give prob of picking 3 f and 1 o.
20/273
Two letters picked without replacement from {b: 7, o: 2}. What is prob of picking 1 o and 1 b?
7/18
Three letters picked without replacement from llzglzq. What is prob of picking 1 l a
|
{
"pile_set_name": "DM Mathematics"
}
|
sequence au.
5/21
Two letters picked without replacement from {t: 2, r: 4, x: 4}. What is prob of sequence rr?
2/15
Three letters picked without replacement from {w: 1, q: 7, s: 9, h: 2}. Give prob of sequence hwq.
7/2907
Three letters picked without replacement from {w: 5, h: 3}. Give prob of sequence www.
5/28
Calculate prob of sequence lstt when four letters picked without replacement from trrsysysylssttyrtt.
5/3672
Four letters picked without replacement from {j: 1, t: 2, x: 3, p: 1}. What is prob of sequence jjxt?
0
Three letters picked without replacement from {s: 2, d: 3}. What is prob of sequence ssd?
1/10
Four letters picked without replacement from {z: 5, u: 3, a: 6, p: 1}. What is prob of sequence azzu?
1/91
What is prob of sequence af when two letters picked without replacement from cccfcfccbfafac?
4/91
Calculate prob of sequence zzi when three letters picked without replacement from {h: 4, i: 1, z: 5}.
1/36
Four letters picked without replacement from {k: 2, x: 6, b: 3, t: 1}. What is prob of sequence xxtb?
1/132
Two letters picked without replacement from {w: 2, q: 5}. What is prob of sequence ww?
1/21
What is prob of sequence ab when two letters picked without replacement from {k: 3, g: 5, a: 1, t: 1, b: 4}?
2/91
What is prob of sequence sppp when four letters picked without replacement from {p: 4, s: 6}?
1/35
Calculate prob of sequence lq when two letters picked without replacement from gooqpsqlsssq.
1/44
Four letters picked without replacement from {q: 3, a: 5}. Give prob of sequence aaaq.
3/28
What is prob of sequence hhhh when four letters picked without replacement from {h: 4, a: 3}?
1/35
What is prob of sequence atcd when four letters picked without replacement from dataladldddltcu?
1/1092
Three letters picked without replacement from rjojriv. Give prob of sequence rvo.
1/105
Two letters picked without replacement from mmrarmr. Give prob of sequence mr.
3/14
What is prob of sequence aba when three letters picked without replacement from {t: 3, a: 2, o: 2, b: 4, y: 2}?
2/429
Two letters picked without replacement from kdkkkddkdkkkkkkkkkkk. Give prob of sequence kk.
12/19
What is prob of sequence jj when two letters picked without replacement from {j: 3}?
1
Two letters picked without replacement from {t: 11, c: 2}. Give prob of sequence tt.
55/78
Four letters picked without replacement from {x: 8, d: 3, h: 3, y: 2}. Give prob of sequence dxdh.
3/910
Calculate prob of sequence yi when two letters picked without replacement from {o: 1, y: 4, e: 2, l: 1, i: 1}.
1/18
Two letters picked without replacement from {p: 6, e: 3, f: 5, u: 1, g: 1, k: 1}. Give prob of sequence fp.
15/136
Four letters picked without replacement from rbbxxxxxbbrbxx. What is prob of sequence bbbb?
5/1001
What is prob of sequence hhh when three letters picked without replacement from {s: 9, b: 2, h: 6, a: 2}?
20/969
What is prob of sequence yg when two letters picked without replacement from {g: 3, y: 1}?
1/4
Calculate prob of sequence fr when two letters picked without replacement from rrffff.
4/15
Three letters picked without replacement from uxxxxxuxxxuxxxxxuux. What is prob of sequence uux?
140/2907
Two letters picked without replacement from wljlvwjijjl. What is prob of sequence ww?
1/55
What is prob of sequence ri when two letters picked without replacement from {i: 2, r: 4, o: 3}?
1/9
Four letters picked without replacement from jaooofaiaacfco. What is prob of sequence affj?
1/3003
What is prob of sequence foq when three letters picked without replacement from qdffqdqqodddddooqqq?
7/969
Calculate prob of sequence hzvn when four letters picked without replacement from {p: 1, z: 1, v: 2, n: 1, x: 1, h: 1}.
1/420
Two letters picked without replacement from {v: 4, t: 5, l: 2, a: 2, s: 4}. Give prob of sequence ls.
1/34
What is prob of sequence evk when three letters picked without replacement from {f: 1, t: 8, c: 2, k: 4, v: 4, e: 1}?
2/855
Three letters picked without replacement from drrsrdt. Give prob of sequence srd.
1/35
What is prob of sequence fif when three letters picked without replacement from {l: 2, f: 2, i: 2}?
1/30
What is prob of sequence mowl when four letters picked without replacement from {l: 7, w: 1, o: 4, m: 8}?
28/14535
What is prob of sequence ekek when four letters picked without replacement from {k: 2, y: 1, e: 4}?
1/35
Four letters picked without replacement from nlplxxnliplpspp. Give prob of sequence xnpl.
2/819
Two letters picked without replacement from {l: 7, p: 4, t: 1, d: 1, e: 2}. What is prob of sequence dp?
2/105
Calculate prob of sequence uun when three letters picked without replacement from nunnnnnnnnun.
1/66
Two letters picked without replacement from mooogmoog. Give prob of sequence mo.
5/36
What is prob of sequence wtw when three letters picked without replacement from gwttgggwwtg?
1/55
Three letters picked without replacement from {r: 9, c: 11}. Give prob of sequence rcc.
11/76
Four letters picked without replacement from {d: 4, k: 2}. What is prob of sequence ddkk?
1/15
Calculate prob of sequence ck when two letters picked without replacement from {k: 1, t: 3, c: 1, w: 2, i: 1, d: 4}.
1/132
Four letters picked without replacement from {n: 7, e: 6, g: 2, i: 3, y: 1}. Give prob of sequence eggi.
1/2584
Three letters picked without replacement from tmmmmtt. What is prob of sequence mtt?
4/35
Calculate prob of sequence hth when three letters picked without replacement from {t: 2, h: 3, i: 3}.
1/28
Three letters picked without replacement from eereeaaaeeaeeaeeae. What is prob of sequence aea?
55/816
Two letters picked without replacement from {z: 2, y: 11, d: 5, i: 1, j: 1}. What is prob of sequence zi?
1/190
Three letters picked without replacement from {y: 7, f: 1, e: 2}. Give prob of sequence efy.
7/360
Calculate prob of sequence wkw when three letters picked without replacement from {k: 9, w: 10}.
45/323
Three letters picked without replacement from {d: 2, q: 1, h: 1}. Give prob of sequence hqd.
1/12
Calculate prob of sequence udn when three letters picked without replacement from dmummumuurnmhdmmn.
1/255
Four letters picked without replacement from wwnvitx. Give prob of sequence ivtn.
1/840
Two letters picked without replacement from lalaaaaall. What is prob of sequence aa?
1/3
Calculate prob of sequence ekeu when four letters picked without replacement from {f: 1, j: 2, e: 6, i: 1, u: 4, k: 1}.
1/273
Calculate prob of sequence ht when two letters picked without replacement from xhtzxuuat.
1/36
Calculate prob of sequence zyrr when four letters picked without replacement from yrrrhrzry.
5/378
What is prob of sequence yf when two letters picked without replacement from gfygewfyff?
4/45
Four letters picked without replacement from {h: 12, w: 7}. What is prob of sequence hhhw?
385/3876
Four letters picked without replacement from lvvvlllvvv. What is prob of sequence vvlv?
2/21
What is prob of sequence js when two letters picked without replacement from xxsxvxxxsjxs?
1/44
Three letters picked without replacement from {m: 7, i: 1, b: 2}. Give prob of sequence ibb.
1/360
Calculate prob of sequence iil when three letters picked without replacement from {i: 12, l: 1}.
1/13
What is prob of sequence sfk when three letters picked without replacement from sgkkkgkfss?
1/60
Four letters picked without replacement from {e: 2, v: 1, f: 1, m: 3}. Give prob of sequence fmmm.
1/140
Calculate prob of sequence uqq when three letters picked without replacement from quuuqu.
1/15
Three letters picked without replacement from bbpbbbhqbbhh. Give prob of sequence qbp.
7/1320
What is prob of sequence rr when two letters picked without replacement from {g: 12, i: 1, r: 7}?
21/190
Calculate prob of sequence gg when two letters picked without replacement from ggwgbbcdbwwgccg.
2/21
What is prob of sequence xul when three letters picked without replacement from {u: 1, l: 1, x: 1}?
1/6
What is prob of sequence wqww when four letters picked without replacement from {w: 5, q: 1, m: 3}?
5/252
Four letters picked without replacement from dsfxffsoff. What is prob of sequence xfdf?
1/252
What is prob of sequence cdk when three letters picked without replacement from {k: 1, d: 4, c: 8, a: 1, v: 1}?
16/1365
What is prob of sequence jm when two lett
|
{
"pile_set_name": "DM Mathematics"
}
|
s picked without replacement from eeeeeeemeememeer?
3/560
What is prob of picking 1 z and 3 m when four letters picked without replacement from nnmnnmtynnnnzzzmmtz?
4/969
What is prob of picking 4 v when four letters picked without replacement from {t: 2, u: 4, v: 7}?
7/143
Calculate prob of picking 1 s and 2 n when three letters picked without replacement from dnnsusdiuddnnn.
5/91
Two letters picked without replacement from ttqrjmqrrpjrrtr. Give prob of picking 1 q and 1 r.
4/35
Two letters picked without replacement from {l: 2, y: 2, c: 1, e: 2, r: 1}. Give prob of picking 1 l and 1 y.
1/7
What is prob of picking 1 b, 1 l, and 2 k when four letters picked without replacement from {k: 8, b: 5, l: 2}?
8/39
Four letters picked without replacement from {q: 2, f: 11, l: 1, k: 1, r: 1, x: 4}. What is prob of picking 2 q and 2 x?
2/1615
Four letters picked without replacement from {y: 3, o: 1, z: 3, c: 1, x: 3}. Give prob of picking 2 x, 1 c, and 1 y.
3/110
What is prob of picking 2 f and 1 z when three letters picked without replacement from {w: 3, g: 1, f: 2, z: 1}?
1/35
Calculate prob of picking 1 h, 1 z, 1 u, and 1 x when four letters picked without replacement from {p: 1, x: 2, k: 1, z: 1, h: 1, u: 1}.
2/35
What is prob of picking 1 m and 1 o when two letters picked without replacement from {l: 2, o: 6, m: 4, j: 1}?
4/13
What is prob of picking 2 s when two letters picked without replacement from usshu?
1/10
Four letters picked without replacement from {j: 8, k: 1, c: 4}. What is prob of picking 4 j?
14/143
Four letters picked without replacement from gcdfaaccgdtddcf. What is prob of picking 1 d, 2 c, and 1 t?
8/455
Four letters picked without replacement from {p: 1, l: 6, n: 1, d: 1, v: 1, m: 3}. What is prob of picking 2 m, 1 v, and 1 n?
3/715
Two letters picked without replacement from {x: 1, w: 1, u: 2, h: 4, z: 7}. What is prob of picking 1 u and 1 w?
2/105
Two letters picked without replacement from rrjjjrjrrrrrjr. What is prob of picking 2 j?
10/91
What is prob of picking 1 u and 2 p when three letters picked without replacement from {u: 1, y: 3, p: 4}?
3/28
Calculate prob of picking 1 y, 1 p, and 1 u when three letters picked without replacement from pupy.
1/2
Three letters picked without replacement from {s: 4, z: 1, l: 1, q: 1, i: 2, v: 3}. Give prob of picking 1 i, 1 l, and 1 q.
1/110
Three letters picked without replacement from {i: 1, r: 2, x: 1, s: 1}. What is prob of picking 2 r and 1 i?
1/10
What is prob of picking 2 s and 1 m when three letters picked without replacement from {m: 2, d: 4, v: 3, f: 3, p: 1, s: 4}?
3/170
Two letters picked without replacement from {j: 1, o: 1, x: 1, i: 1, y: 1}. Give prob of picking 1 i and 1 o.
1/10
Calculate prob of picking 1 m and 1 e when two letters picked without replacement from {x: 5, e: 3, m: 2}.
2/15
Three letters picked without replacement from {h: 1, z: 6, g: 2, q: 4}. Give prob of picking 1 z, 1 h, and 1 q.
12/143
What is prob of picking 1 e and 1 q when two letters picked without replacement from dquququddeqqqdd?
2/35
Three letters picked without replacement from lolllllooloo. Give prob of picking 3 o.
1/22
Calculate prob of picking 1 j, 1 l, and 1 u when three letters picked without replacement from {l: 1, u: 1, x: 1, c: 1, j: 1}.
1/10
Calculate prob of picking 2 v, 1 s, and 1 d when four letters picked without replacement from dvvoovvvvvodosudvvud.
48/1615
Two letters picked without replacement from aaawaawaawwaaawa. What is prob of picking 2 a?
11/24
Three letters picked without replacement from {a: 2, p: 2, r: 4, q: 3, x: 1, e: 2}. Give prob of picking 1 r and 2 p.
1/91
Four letters picked without replacement from {n: 2, h: 1, y: 5, x: 8, z: 1, c: 3}. What is prob of picking 1 c, 1 h, 1 y, and 1 x?
8/323
Two letters picked without replacement from wiuuwciuwvqwvvquq. Give prob of picking 2 w.
3/68
Three letters picked without replacement from {k: 1, p: 1, u: 7}. Give prob of picking 1 k, 1 p, and 1 u.
1/12
Two letters picked without replacement from {i: 10, r: 2}. What is prob of picking 2 i?
15/22
Calculate prob of picking 1 j and 2 y when three letters picked without replacement from mmmnnmynnyngnnnmjjnn.
1/570
Calculate prob of picking 2 x and 1 b when three letters picked without replacement from {x: 3, r: 3, b: 2}.
3/28
Three letters picked without replacement from iiqiliqqiilql. What is prob of picking 3 i?
10/143
Calculate prob of picking 1 x and 2 q when three letters picked without replacement from {e: 3, x: 3, q: 4, i: 3}.
9/143
Three letters picked without replacement from ohsos. What is prob of picking 3 h?
0
Four letters picked without replacement from bbbbbbfabbbffbbba. What is prob of picking 1 b, 1 a, and 2 f?
18/595
Calculate prob of picking 2 s and 1 r when three letters picked without replacement from esezsujr.
1/56
Three letters picked without replacement from ybygmgmbmiyr. Give prob of picking 1 g, 1 y, and 1 m.
9/110
Three letters picked without replacement from {l: 1, w: 2, v: 2}. Give prob of picking 3 v.
0
Two letters picked without replacement from {k: 9, m: 2}. What is prob of picking 1 m and 1 k?
18/55
What is prob of picking 1 q and 1 j when two letters picked without replacement from jjffaajjajarjaqrjfa?
7/171
Two letters picked without replacement from sexzw. What is prob of picking 1 w and 1 e?
1/10
What is prob of picking 1 e and 1 f when two letters picked without replacement from {e: 3, c: 3, g: 1, f: 4}?
12/55
What is prob of picking 2 u when two letters picked without replacement from {v: 9, u: 10}?
5/19
What is prob of picking 2 k when two letters picked without replacement from {k: 5, a: 7}?
5/33
Two letters picked without replacement from sackccccacacascack. Give prob of picking 1 s and 1 c.
2/17
Three letters picked without replacement from ugkiw. What is prob of picking 1 k, 1 g, and 1 u?
1/10
Calculate prob of picking 2 s when two letters picked without replacement from siissii.
1/7
What is prob of picking 1 n and 1 i when two letters picked without replacement from mlmimni?
2/21
Calculate prob of picking 2 x when two letters picked without replacement from xeeeeexe.
1/28
What is prob of picking 2 s and 2 t when four letters picked without replacement from tsttstts?
3/7
Two letters picked without replacement from {v: 17, d: 2}. Give prob of picking 2 d.
1/171
What is prob of picking 1 h and 1 g when two letters picked without replacement from hhghhggh?
15/28
Calculate prob of picking 1 o, 1 z, and 1 t when three letters picked without replacement from rotrldz.
1/35
What is prob of picking 1 n and 1 p when two letters picked without replacement from {n: 12, p: 1}?
2/13
Four letters picked without replacement from {v: 9, f: 9}. Give prob of picking 3 v and 1 f.
21/85
Calculate prob of picking 2 a and 1 u when three letters picked without replacement from tataaaawauwqhttt.
3/112
Calculate prob of picking 1 r and 1 x when two letters picked without replacement from vqqxrxvqxvqq.
1/22
What is prob of picking 1 b and 1 q when two letters picked without replacement from kmmgmqmkkqbm?
1/33
What is prob of picking 2 d when two letters picked without replacement from {f: 2, d: 4}?
2/5
Two letters picked without replacement from vvh. What is prob of picking 1 h and 1 v?
2/3
Two letters picked without replacement from {x: 3, o: 3}. What is prob of picking 2 o?
1/5
What is prob of picking 2 b and 2 a when four letters picked without replacement from aubbubbbbaubu?
21/715
Two letters picked without replacement from qmy. What is prob of picking 1 m and 1 y?
1/3
Calculate prob of picking 1 j and 1 c when two letters picked without replacement from mjuuqcj.
2/21
What is prob of picking 1 b and 2 n when three letters picked without replacement from {b: 12, z: 3, n: 3}?
3/68
What is prob of picking 2 k when two letters picked without replacement from {k: 8, y: 1, v: 1, n: 1, w: 3, z: 2}?
7/30
Calculate prob of picking 2 a when two letters picked without replacement from {v: 4, s: 5, a: 3, q: 4}.
1/40
Calculate prob of picking 1 a and 1 r when two letters picked without replacement from aaaaaaaraaaa.
1/6
Calculate prob of picking 1 p, 1 r, and 1 j when three letters picked without replacement from {r: 1, e: 1, i: 2, j: 2, p: 2}.
1/14
What is prob of p
|
{
"pile_set_name": "DM Mathematics"
}
|
3. Let s be j(-12). Let x be (-6)/(-10) + s/60. Let d = x - -443/28. Which is the nearest to -2/7? (a) 1/4 (b) d (c) -0.2
c
Let x = -11 + 14. Suppose 6*t - 3*t + x = 0. Let o = -30.4 - -30. Which is the nearest to -1/2? (a) o (b) -3 (c) t
a
Suppose -4*d - w = 3, -2*d + 6*d + 5*w - 1 = 0. What is the nearest to d in -2/17, -2/5, -14?
-2/5
Let d = -0.673 - -0.473. Which is the nearest to -0.3? (a) -0.5 (b) 18 (c) d
c
Let c = 14.3 + -14.2. Let y = -0.8 + -2.2. Let o = -2.5 + 3. What is the nearest to c in 0, o, y?
0
Let j = 55.284 + 0.616. Let m = -56 + j. What is the nearest to m in -4, 1/7, -0.4?
1/7
Let i = 753 - 752. Which is the nearest to i? (a) -4 (b) 3 (c) -23
b
Let y = -3.8264 - 0.1736. What is the nearest to -2/7 in y, -3, -3.5?
-3
Let g be 11 - 8 - 10/3. Let p = -45.5 - -45. Which is the nearest to -1? (a) g (b) p (c) 1
b
Let g = 4864/13 + -374. What is the closest to 1 in 5, g, -2?
g
Let b = -53 - -267/5. Let s = -0.336 + 1.336. What is the nearest to b in 4, s, -6/7?
s
Let y = -858 + 6005/7. What is the closest to -1 in -0.2, y, 2/21?
-0.2
Let a = -1061 + 1061.1. What is the closest to 5 in 1, -0.3, -1/17, a?
1
Let s = -191.54 - -190. Let c = -1.54 - s. What is the closest to -1 in 6, -0.4, c?
-0.4
Let v = -8 - 4. Suppose -48 + 12 = -3*s. Let d = v + s. What is the closest to 0 in 1, d, 5?
d
Let j = 539 - 2153/4. What is the closest to j in -5, 2, -2?
2
Let v = 0.32 + 0.08. Let a = -126 - -130. What is the closest to 0.1 in v, -1, a?
v
Let r be (-282)/18*-1 - 2*2. Let x = 239/21 - r. What is the nearest to 1 in x, -1, -0.3?
x
Suppose 38 = 10*j + 9*j. Which is the nearest to -0.2? (a) -3 (b) j (c) 1
c
Let s = 1672/9 + -186. Let r = -5.9 + 6. What is the closest to r in -1, s, -5?
s
Let z = -0.2 + 0.3. Let g = 9 + -8. Suppose -3*s - 15 = 0, 3*v - 3*s - 15 = -2*v. Which is the nearest to v? (a) g (b) 0.3 (c) z
c
Suppose -8*d = -3*d. Let n = -12 - -12.39. Let t = -0.11 - n. What is the closest to -2/7 in t, d, 3/2?
t
Let r = 2.805 - -0.195. What is the closest to -4 in r, -6, 0.1?
-6
Let t = -3.021 - -0.021. Let q be ((-3)/(-18))/(1/4). Which is the nearest to -11? (a) t (b) -2 (c) q
a
Let j = 0.157 - -0.043. What is the nearest to j in 6, -5, 1/6?
1/6
Let n = 13.34 + -2.34. Which is the closest to 0.1? (a) -0.5 (b) n (c) 1
a
Let j = -10/3 + 4. Which is the closest to -21/13? (a) j (b) -2/5 (c) 3
b
Let w = 706 + -702. Let j = -0.48 - -0.18. What is the closest to -1 in w, j, 2/7?
j
Let q = 0.0253 + 46.1747. Let j = -46 + q. Which is the nearest to j? (a) -1/3 (b) -1 (c) -4/9
a
Let g = 486 + -485. Which is the nearest to g? (a) -0.4 (b) 23/4 (c) 0.3
c
Let k = -17630 + 17624. Let d = 1 - 1. What is the closest to d in 5, -3/2, k?
-3/2
Let l = -27 - -29. Let r be 4/(4 - 2) - (l - -2). What is the closest to r in -1/4, 0.2, -0.2?
-1/4
Let l = 42 + -56. Let y = -2.1 + 1.7. What is the nearest to 0.1 in l, y, -4?
y
Let i = 2.8 - 1.9. Let u = -1.3 + i. Let s = 0.45 - 0.05. Which is the closest to -0.1? (a) s (b) -4 (c) u
c
Let g = 1.12 - -10.28. Let s = 11 - g. Let l = -2.2 - -2.3. Which is the nearest to l? (a) -2 (b) s (c) 4
b
Suppose -4*p + 1 = -3, -5*p + 89 = 2*r. Let l be (9/(-12))/(r/(-32)). What is the nearest to 1/6 in 0.1, -0.1, l?
0.1
Let m = -30.8 - -33. Let g = -2.3 + m. What is the closest to 0.1 in g, 1, -4/11?
g
Let l be (3*(-4)/18)/(-2). Which is the nearest to -0.1? (a) 46 (b) -1/2 (c) l
b
Let p be ((-11)/7 - -1) + 1. Let n be -1 - 1 - 10/(-4). Let m = 0.3199 + -4.3199. Which is the nearest to m? (a) n (b) -2/13 (c) p
b
Let p = 0.0359 + 0.9641. Let v(q) = -q**2 + 9*q - 10. Let l be v(7). Which is the closest to l? (a) p (b) -2/7 (c) 0.2
a
Let p = -97/11 - -313/33. Which is the nearest to 10? (a) -5 (b) 0 (c) p (d) -4/3
c
Suppose p - 6 - 12 = 0. Let m = 13 - p. Let z = 34 - 168/5. Which is the closest to z? (a) 0.2 (b) m (c) 0
a
Let n = 5.2 + -8.2. Which is the nearest to 0.1? (a) n (b) 3/2 (c) -0.3 (d) 6
c
Let l = 344 + -343. Suppose -u + v + 3*v - 4 = 0, -4*u = 4*v - 44. Let q = 6 - u. Which is the nearest to l? (a) 0.3 (b) q (c) 0.1
a
Let u = 34 + -29. Let r be 5 - u - (50/18 - 3). Which is the closest to r? (a) 0.3 (b) -4 (c) -2
a
Let q = -32 - -31.8. Let w be 24/(-105) - 10/50. What is the closest to -2/5 in q, w, -1?
w
Let t(l) = -l**2 + 19*l - 57. Let k be t(4). Which is the nearest to 0.4? (a) 5/2 (b) k (c) 0.2
c
Let s be ((-1)/3)/(3/2). Let x = -0.94 - -1.14. Which is the nearest to -1/3? (a) 4 (b) x (c) s
c
Let m be -2*6*(5/4)/(-5). Let u = -8 + 13. Suppose -w = -u + m. Which is the closest to 2? (a) -0.1 (b) w (c) -4
b
Let g = -2.4 - -0.4. Let k(d) = -d + 4. Let t be k(4). Which is the closest to t? (a) -1 (b) g (c) 0.5
c
Let g(n) = n**3 - 6*n**2 + 6*n - 5. Let s be g(5). Let y = -1.2 + 0.8. Which is the nearest to s? (a) -5/2 (b) y (c) 2/11
c
Let l = 64.6 + -65. Let s = 118.7 + -126. Let o = s - -7. What is the closest to 2/5 in o, -3/7, l?
o
Let i = -77 + 386/5. What is the closest to -2/7 in i, 2/17, 14?
2/17
Suppose u + 10 = h, 0*u + h = -u. Let z = -0.66 - 0.34. Let w = 0.7 - -1.3. Which is the closest to 1? (a) w (b) u (c) z
a
Suppose -3*c + 4*c - 8 = 0. Suppose -c*u = -2*u. What is the closest to u in -2, 0.4, -9?
0.4
Let f = -2.3 + 2. Let m = -69088 + 69088.2. Let i = -0.2 - -0.3. Which is the nearest to m? (a) f (b) i (c) -0.1
b
Let o(m) = -m**3 - 3*m**2 + 13*m - 28. Let i be o(-6). What is the closest to 6 in i, -2, -3?
i
Let y = -4.3 - -0.3. Let q = -163.8 - -163.8. Which is the nearest to 5? (a) q (b) y (c) 0.2
c
Let p = 3.145 - 0.045. Let a = -2.9 + p. Let m = 0.1 + -0.6. What is the closest to -0.1 in m, a, 0?
0
Let z = 76.14 - -1.86. Let x = 83 - z. Which is the closest to -35? (a) -1/2 (b) x (c) 4
a
Let l = -0.3 - -0.4. Let j = 1/136 + 403/680. Let g be -2 + (36/5)/3. Which is the nearest to -1/3? (a) l (b) j (c) g
a
Let n = -32 - -95/3. Let w = -53/30 + 41/10. Let i = -55/21 + w. Which is the closest to 2? (a) 4 (b) n (c) i
a
Let l = 132 + -132.9. Which is the closest to -1? (a) -1/5 (b) l (c) 1/3 (d) 1/19
b
Let l be -3 + -5 + (-36)/(-3). Which is the closest to -1/4? (a) -9 (b) -2 (c) l
b
Let v = -307.1 + 307. What is the closest to v in -3, -2/19, -0.5?
-2/19
Suppose 0 = -7*y + 2*y + u - 9, -4*y - u = 0. Let z be 312/(-60) + y/(-5). Which is the closest to z? (a) -4 (b) 0.2 (c) 4/3
a
Let s be (2 - 0)/((-4)/10). Let j be 13/34 + (20/85)/2. Let t = -2 - -2. Which is the closest to 2? (a) t (b) j (c) s
b
Let k = 2.3 - 4.3. Which is the nearest to -6? (a) k (b) 0.1 (c) -3/2 (d) 3
a
Let r be 2/(8/(-10)*(-55)/(-22)). Let f = -1 - -8. What is the nearest to -1 in r, f, 4?
r
Let o = 2 + -4. Let s = -15 + 197/13. Let a = -322.1 - -322. What is the closest to 1 in o, a, s?
s
Let a = 0.3614 + -0.7614. Let q = 11/6 - 59/30. What is the nearest to q in -1, a, -2/9?
-2/9
Let q = 96 - 40. Let c be (6/4)/((-42)/q). What is the nearest to -2/9 in -6/11, -3, c?
-6/11
Let u = -3.01 - -0.01. Let p = 83.1 - 86. Let t = u - p. Which is the closest to t? (a) 4 (b) 4/3 (c) 9
b
Suppose 192*b - 8 = 200*b. What is the closest to b in -2/13, -11, -4/3?
-4/3
Let k = 0.1386 + 0.1614. What is the nearest to 1 in 0.5, -1, k, 27?
0.5
Let t = 0.895 - -0.105. Let i = t + -1.02. What is the nearest to -1 in 5, -4, i?
i
Let q = -0.2 - -0.3. Let j = 20347 - 20351. Which is the nearest to j? (a) q (b) 1/2 (c) 3/4
a
Let n = 0.058 + -0.096. Let m = n - -0.238. What is the nearest to 1/4 in -3, 14, m?
m
Let w = 94.9 - 86. Let v = -9 + w. Which is the nearest to v? (a) -2/5 (b) -2/9 (c) -4
b
Let z = 97 + -100.4. Let t = z - -3.1. Let k = 2.04 - 0.04. Which is the nearest to k? (a) 0.3 (b) t (c) -5
a
Let w = -616 - -616.6. What is the closest to w in -0.4, 1/5, -1?
1/5
Suppose 3*m + 5*g = -24, m + 2*g + 15 = -2*m. Let l = -14 + 10. Let x = l - -4.3. Which is the nearest to -1/3? (a) x (b) m (c) 5
a
Let t = -481 - -481.5. Which is the closest to 2/9? (a) 8 (b) t (c) -5 (d) -1/4
b
Let l be 3/9*2/(8/(-3)). What is the nearest to l in -4, -1/3, 9/7?
-1/3
Let z(a) = -a**3 + 26*a**2 - 46*a - 44. Let t be z(24). What is the closest to 2 in 2, 36, t?
2
Let l = -8.4 + 7.4. Let y(d) = -33*d**2. Let q be y(-1). L
|
{
"pile_set_name": "DM Mathematics"
}
|
*w + 1094. Let k be 30/(-9)*w/(-25). Let f(j) = -124 + 4*j**2 + k. Let g(q) = -4*q**2. Give f(g(s)).
64*s**4
Let p(t) = 19*t. Let u(h) = h**2 + 7*h**2 - 6*h**2. Determine p(u(q)).
38*q**2
Let r(v) = -v**2. Let x(i) be the second derivative of -70*i**4/3 - 341*i. What is x(r(u))?
-280*u**4
Let h(p) = p**2. Suppose -42 = -3*v + 5*v. Let i(q) = 33*q. Let a(k) = 8*k. Let c(t) = v*a(t) + 5*i(t). What is c(h(r))?
-3*r**2
Let u(m) = -m. Let r(y) be the first derivative of 3 + 0*y**3 + 13/60*y**5 + 0*y**4 + 0*y - 1/2*y**2. Let p(j) be the second derivative of r(j). Give p(u(z)).
13*z**2
Let m(h) = h. Let a(p) be the first derivative of -9*p**3 - 3*p**2/2 + 29. Let d(f) = -14*f**2 - f. Let s(x) = -2*a(x) + 5*d(x). Give s(m(l)).
-16*l**2 + l
Let w(a) = -2*a. Let r(t) = 37*t**2 - 14*t - 2. Calculate r(w(l)).
148*l**2 + 28*l - 2
Let z(w) = -36*w. Let i(b) = 247*b - 15. Let j be i(3). Let t(y) = -j*y + 726*y + y**2. Determine z(t(s)).
-36*s**2
Let h(j) = -2*j - 18*j - 13*j - 32*j. Let d(o) = -o**2. Give h(d(f)).
65*f**2
Let a(g) = 3*g**2 + 329*g. Let j(p) = 55*p**2. Give a(j(m)).
9075*m**4 + 18095*m**2
Let g(t) = 6*t**2. Let n = -13 + 131. Let a(c) = -n*c + 235*c - 114*c. Determine g(a(o)).
54*o**2
Let b(p) be the third derivative of -p**5/15 + 5*p**2. Let m(t) be the first derivative of t**3 + 2. What is m(b(g))?
48*g**4
Let g(v) = -v. Let f(i) = 9*i - 37 + 37. Determine g(f(c)).
-9*c
Let t(v) = -2*v. Suppose -x + 2*x = 6. Suppose -2*l - 1 + 5 = 0. Let f(d) = l*d + x*d - 6*d + d. Give f(t(w)).
-6*w
Let u(s) = -2 + 2 + 3*s. Let g(k) = k**2 + 4*k. Let o(x) = 3*x. Let z(v) = -3*g(v) + 4*o(v). Determine u(z(d)).
-9*d**2
Let b(g) = -7*g**2 + 5502. Let w(n) = 13*n**2. Give b(w(i)).
-1183*i**4 + 5502
Let g(s) = 9*s**2. Let k(n) = -96632*n. Give g(k(w)).
84039690816*w**2
Let c(m) = -5*m. Suppose -2*y - 22 = 2*j, -y - j = 3*j + 26. Let b(l) = 3*l**2 + 6*l - 6. Let u(q) = -q**2 - q + 1. Let r(x) = y*u(x) - b(x). Calculate c(r(n)).
-15*n**2
Let p(u) be the third derivative of -u**5/30 + 150*u**2. Let l(a) = -189*a. What is l(p(m))?
378*m**2
Let h(a) = -a. Let g(t) = t**3 + 3*t**2 + 2*t + 4. Let x be g(-3). Let z(i) = -i**2. Let k(r) = r**2. Let s(n) = x*z(n) - 3*k(n). Determine s(h(c)).
-c**2
Let n(d) = -3*d**2. Let b be 0*(-1)/(-1 + -1). Let u = 2 + b. Let t(r) = 12 - 12 + 2*r**u. What is n(t(x))?
-12*x**4
Let u(g) = -19*g. Suppose -1309 = m - 2*m. Let n(p) = m + p - 1309. Calculate u(n(y)).
-19*y
Let u(a) = -3*a. Let y(f) = -12*f + 789 - 789. Let l(x) = 9*u(x) - 2*y(x). Let k(b) = -3*b. Determine k(l(n)).
9*n
Let v(f) = f**2. Let x(o) = 2767*o. Calculate x(v(z)).
2767*z**2
Let j(h) = 3*h**2 + h - 131. Let u(z) = 19*z. Calculate j(u(r)).
1083*r**2 + 19*r - 131
Let h(d) be the third derivative of -d**5/15 + 5*d**2. Let j(g) = -3*g. Let b = -1 + -6. Let x(r) = 6*r. Let v(m) = b*j(m) - 3*x(m). What is h(v(w))?
-36*w**2
Let l(m) = -49*m - 1. Let z(r) = -3*r**2 - r**2 - r**2 + 9*r**2 - 5*r**2. What is z(l(q))?
-2401*q**2 - 98*q - 1
Let i(g) = g. Let x(t) be the second derivative of 0*t**3 - 5/12*t**4 - 1/2*t**2 + 0 - 6*t. Let l(v) be the first derivative of x(v). Determine l(i(a)).
-10*a
Let k(a) = a. Let l(d) = 39*d**2 - 10*d - 1. Calculate k(l(p)).
39*p**2 - 10*p - 1
Let o(g) = g**2. Suppose -3*u + 0*y + 48 = -2*y, -4*u - 5*y + 87 = 0. Let x(c) = u - 18 + 2*c. Determine x(o(d)).
2*d**2
Let o(t) be the first derivative of -t**2/2 - 4*t + 1. Let l be o(-4). Let r(s) = -8*s**2 + l*s**2 - s**2. Let m(n) = -n. Calculate r(m(g)).
-9*g**2
Let y(g) = 2*g. Let r(o) be the first derivative of 0*o + 0*o**2 + 1/15*o**5 + 3*o**3 + 0*o**4 + 11. Let u(v) be the third derivative of r(v). Give u(y(x)).
16*x
Let m(j) = -j. Let d(y) = 3*y**2 + 76*y - 40. Calculate m(d(w)).
-3*w**2 - 76*w + 40
Let f(v) = -v**3 - 8*v**2 - v - 1. Let n be f(-8). Let w(r) = -5 - r + n - 2. Let y(z) = 4*z**2 - 7*z**2 + 0*z**2. Determine w(y(d)).
3*d**2
Let b(n) = -10*n - 3*n - n**2 + 13*n. Let x(a) = 8*a**2 + 22. Let o(t) = -1. Let g(h) = -44*o(h) - 2*x(h). Give b(g(c)).
-256*c**4
Let j(x) be the second derivative of 2*x**4/3 + 250*x. Let r(u) = 7*u**2 - 8*u. What is j(r(s))?
392*s**4 - 896*s**3 + 512*s**2
Let u(a) = 5*a. Let m(c) = -9782*c. What is u(m(g))?
-48910*g
Let u(d) = -d**2. Let x(g) = g**2. Let a = 25 - 22. Let s(n) = a*x(n) + 2*u(n). Let t(k) = -9*k + 0 + 0 + 17*k. Calculate t(s(v)).
8*v**2
Let g(u) = -54*u. Let h(j) = 16763*j. Determine h(g(c)).
-905202*c
Let d(c) = 2*c**2. Let q(k) = -4*k**2 + 2*k. Let u(t) = -t**2 - t - 1. Let m(p) = q(p) + 2*u(p). Give m(d(f)).
-24*f**4 - 2
Let u(i) = 2*i**2 + 42. Let g(m) be the third derivative of m**5/20 - 341*m**2 - 1. Give g(u(j)).
12*j**4 + 504*j**2 + 5292
Let k(h) be the third derivative of -7*h**6/120 - 2*h**3 - 4*h**2. Let o(t) be the first derivative of k(t). Let n(x) = 2*x. Determine n(o(d)).
-42*d**2
Let a = 21 + -10. Suppose -5*z + 4*z + a = 4*j, j = 2. Let d(i) = -3 - i + z. Let v(g) = -3*g**2. Determine d(v(r)).
3*r**2
Let n = 371 + -232. Let k(r) = -139 + 28*r + n. Let v(g) = 2*g. Determine k(v(c)).
56*c
Let p(y) be the first derivative of y**2/2 - 1. Let q(l) = -1. Let k(m) = 0*m**2 - 3*m**2 + 190 - 189. Let w(t) = k(t) + q(t). What is p(w(i))?
-3*i**2
Suppose 11*r - 12 = 5*r. Let k(w) = -25*w**2 + 15*w**r + 20*w**2. Let m(p) = -2*p - 1 + 1. Calculate m(k(c)).
-20*c**2
Let k(z) = -z - 1. Let c(v) = 5*v**2 + v + 1. Let w(l) = c(l) + k(l). Let h(y) = -8*y. Give h(w(p)).
-40*p**2
Let u(s) = 4*s**2. Let q(h) = 44*h**2 - 2. Let g(l) = -702*l**2 + 33. Let j(a) = -2*g(a) - 33*q(a). Give u(j(i)).
9216*i**4
Suppose -3*c = c - 12. Let a(p) = -p - 3 + 2*p + c. Let k(r) = 5*r. Determine a(k(l)).
5*l
Let f(m) = 46 + 43 - m - 65. Let n(o) = -3*o**2. Calculate f(n(h)).
3*h**2 + 24
Let o(k) = -10*k. Suppose 2*g + 2*a - 4*a = -14, 4*a = -4*g + 4. Let z be -3 - -3 - g - 1. Let b(m) = 2*m**2 + 0*m**z + 4*m**2 - 5*m**2. Determine o(b(v)).
-10*v**2
Let x(p) = 6*p. Let c(b) = -b + 2. Let o(z) = 45*z**2 - 45*z + 90. Let w(d) = -45*c(d) + o(d). Give x(w(s)).
270*s**2
Let a(s) = 2*s**2 - 3*s**2 + 4*s**2 + 5*s**2. Let o(x) = 2*x**2 + x**2 - 7*x**2 + 5*x**2. Give o(a(q)).
64*q**4
Let s(h) = 2*h**2. Let u(m) be the first derivative of m**2 + 5*m - 33. Let k(f) = 2*f + 4. Let x(z) = -5*k(z) + 4*u(z). Calculate s(x(g)).
8*g**2
Let m(x) be the second derivative of -x**4/6 + 3267*x. Let w(l) be the second derivative of -5*l**4/4 + l. Determine m(w(b)).
-450*b**4
Let p(q) be the first derivative of -q**2 + 532. Let j(y) = -203*y. What is p(j(b))?
406*b
Let c(k) = 9900*k**2 + 405*k - 405. Let n(p) = -49*p**2 - 2*p + 2. Let z(b) = -2*c(b) - 405*n(b). Let u(g) = -2*g**2. Calculate z(u(q)).
180*q**4
Let n(v) = 426*v. Let a(c) = -27*c - 2. What is n(a(y))?
-11502*y - 852
Let w(l) = 16*l**2. Let a = -21 + 23. Let c(u) = 7*u**2 - 8*u**2 - u**a. Determine c(w(q)).
-512*q**4
Suppose 3*k = -5*n + 4, 2*n - 5*n = k. Let r(i) = 3 - i - k. Let p(a) = -24*a + 50*a - 18*a. Give r(p(q)).
-8*q
Let v(i) = -11*i - 3*i + 4*i. Let x(u) = -15*u. Let s(n) = n. Let d(k) = -33*s(k) - 2*x(k). Give v(d(f)).
30*f
Let v(r) = -18*r. Let s(q) be the first derivative of q**5/30 + 7*q**3/3 + 26. Let i(c) be the third derivative of s(c). Determine v(i(p)).
-72*p
Let u(f) = 8*f - 16*f + 10*f. Let b be ((-1)/(-2))/(8/192). Let d(j) = -16*j - b*j + 6*j**2 + 28*j. Calculate d(u(m)).
24*m**2
Let w(o) be the first derivative of 4 + o**3 + 0*o**4 + 0*o**2 + 0*o - 1/60*o**5. Let v(l) be the third derivative of w(l). Let q(m) = 2*m. Give q(v(x)).
-4*x
Let q(y) = -143*y. Let t(o) = -26*o + 7. Let u(n) = 11*n - 3. Let l(m) = 3*t(m) + 7*u(m). Determine l(q(p)).
143*p
Let u(b) = -5*b. Suppose -4*w + 22 = -3*w. Let a(d) = 45 - 23 - w + 3*d. What is u(a(x))?
-15*x
Let s(q) = -2*q**2. Let a(n) = 5*n**2 + 147*n + 8. Let r(f) = -4*f**2 - 149*f - 7. Let w(i) = 7*a(i) + 8*r(i). Give w(s(m)).
12*m**4 + 326*m**2
Let t(p) = -39*p**2 - 8. Let j(l) = 118*l**2 + 23. Let k(f) = 6*j(f) + 17*t(f). Let z(b) = b**2. Let u(m) = -6*m**2. Let s(d) = -u(d) - 4*z(d). What is k(s(n))?
180*n**4 + 2
Suppose -4 = 2*w - 3*w. Let m(l) = w*l + l - 2*l. Let c(n) = 14*n - 144. Let a(g) = 6*g - 60. Let z(v) = -12*a(v) + 5*c(v). Give m(z(y)).
-6*y
Let h(z) = z. Let c(q) = -67*q**2. Let u(f) = -f**2. Let a(v) = -c(v) + 134*u(v). What is a(h(s))?
-67*s
|
{
"pile_set_name": "DM Mathematics"
}
|
nd w, given that w**2 - 2222*w + 1234321 = 0.
1111
Factor 2*r**4/9 - 2*r**2/9.
2*r**2*(r - 1)*(r + 1)/9
Factor -3*o**3 + 339*o**2 - 10368*o + 43740.
-3*(o - 54)**2*(o - 5)
Suppose -5*m**5 - 45*m**4 - 100*m**3 + 80*m**2 + 480*m + 400 = 0. What is m?
-5, -2, 2
Factor -4*w**3 - 8*w**2 + 36*w + 72.
-4*(w - 3)*(w + 2)*(w + 3)
Factor 5*q**3 - 45*q.
5*q*(q - 3)*(q + 3)
Factor -z**3/3 + 67*z**2/3 - 304*z.
-z*(z - 48)*(z - 19)/3
Factor 2*h**4/9 - 2*h**3 + 4*h**2.
2*h**2*(h - 6)*(h - 3)/9
Suppose 8*d**4/5 - 18*d**3/5 - 124*d**2/5 + 288*d/5 - 64/5 = 0. What is d?
-4, 1/4, 2, 4
Factor -2*k**4 - 16*k**3 - 30*k**2 + 16*k + 32.
-2*(k - 1)*(k + 1)*(k + 4)**2
Factor -15*f**2 + 114*f + 48.
-3*(f - 8)*(5*f + 2)
Factor -x**2/5 + 752*x/5 - 141376/5.
-(x - 376)**2/5
Factor -h**3/4 - 2*h**2 + 11*h - 12.
-(h - 2)**2*(h + 12)/4
Let -2*q**5 - 2*q**4 + 12*q**3 + 8*q**2 - 16*q = 0. Calculate q.
-2, 0, 1, 2
Factor 81*x**2 - 795*x - 150.
3*(x - 10)*(27*x + 5)
Factor -2*q**4/5 + 14*q**3/5 - 6*q**2 + 18*q/5.
-2*q*(q - 3)**2*(q - 1)/5
Solve -y**3 - 82*y**2/3 - 101*y - 92/3 = 0.
-23, -4, -1/3
Factor -2*j**3/3 - 16*j**2/3 + 62*j/3 - 44/3.
-2*(j - 2)*(j - 1)*(j + 11)/3
Factor -15*t**4 + 42*t**3 + 27*t**2 - 54*t.
-3*t*(t - 3)*(t - 1)*(5*t + 6)
Suppose 38*k**4 + 130*k**3 + 124*k**2 + 32*k = 0. Calculate k.
-2, -1, -8/19, 0
Factor -4*h**3 + 220*h**2 - 208*h - 432.
-4*(h - 54)*(h - 2)*(h + 1)
Solve -3*f**3/4 - 69*f**2/2 + 141*f/4 = 0.
-47, 0, 1
Solve 3*x**3 - 195*x**2 + 3864*x - 21168 = 0 for x.
9, 28
Factor l**5/3 - 2*l**3/3 + l/3.
l*(l - 1)**2*(l + 1)**2/3
Factor -2*p**2/7 + 158*p/7 - 876/7.
-2*(p - 73)*(p - 6)/7
Factor 2*a**4/11 - 316*a**3/11 + 13098*a**2/11 - 4424*a + 4312.
2*(a - 77)**2*(a - 2)**2/11
Suppose h**5/3 + h**4 - 25*h**3/3 + 25*h**2/3 + 8*h - 28/3 = 0. Calculate h.
-7, -1, 1, 2
Factor -12*r**2 + 339*r - 84.
-3*(r - 28)*(4*r - 1)
Solve -2*r**4/5 + 32*r**3/5 - 94*r**2/5 - 272*r/5 + 1056/5 = 0.
-3, 4, 11
Determine g so that -2*g**3/7 + 796*g**2/7 = 0.
0, 398
Factor -2*v**4 - 2016*v**3 - 762048*v**2 - 128024064*v - 8065516032.
-2*(v + 252)**4
Factor 2*q**3/19 - 158*q**2/19 + 2070*q/19 + 44550/19.
2*(q - 45)**2*(q + 11)/19
Factor -3*p**2/7 + 33*p.
-3*p*(p - 77)/7
Determine n so that -n**4 - 3*n**3 + 14*n**2 + 48*n + 32 = 0.
-4, -2, -1, 4
Factor -1088*p**3 - 100*p**2 - 2*p.
-2*p*(16*p + 1)*(34*p + 1)
Factor 4*a**3 + 12*a**2 - 4*a - 12.
4*(a - 1)*(a + 1)*(a + 3)
Find p such that p**5/4 - 5*p**4/4 - 49*p**3/2 + 373*p**2/2 - 1183*p/4 + 539/4 = 0.
-11, 1, 7
Find w such that -4*w**2 - 36*w + 88 = 0.
-11, 2
Find o such that -3*o**4/4 - 9*o**3/2 + 153*o**2/4 - 33*o = 0.
-11, 0, 1, 4
Factor 4*z**3 + 164*z**2 + 1760*z + 1600.
4*(z + 1)*(z + 20)**2
Find w such that -w**5 - 14*w**4 + 21*w**3 + 90*w**2 = 0.
-15, -2, 0, 3
Factor p**4/3 - p**3 - 53*p**2/3 + 85*p - 200/3.
(p - 5)**2*(p - 1)*(p + 8)/3
Solve -2*r**2/13 + 50/13 = 0 for r.
-5, 5
Determine r so that r**2/4 + 25*r/4 - 27/2 = 0.
-27, 2
Find i, given that -i**2 + 1344*i - 451584 = 0.
672
Factor -s**2 - 1084*s - 293764.
-(s + 542)**2
Let 2*z**2/9 - 118*z/9 + 212/3 = 0. What is z?
6, 53
Determine u so that u**3/2 + 15*u**2/2 - 8*u = 0.
-16, 0, 1
Determine n, given that -12*n**4/7 + 320*n**3 - 3704*n**2/7 + 736*n/7 + 740/7 = 0.
-1/3, 1, 185
Factor -3*y**3/5 + 366*y**2 + 3*y/5 - 366.
-3*(y - 610)*(y - 1)*(y + 1)/5
Solve -l**4/5 - l**3 + 32*l**2/5 - 36*l/5 = 0.
-9, 0, 2
Let 10*z**5/9 - 28*z**4 - 478*z**3/9 - 24*z**2 = 0. Calculate z.
-1, -4/5, 0, 27
Find w, given that w**3/3 + 3*w**2 + 20*w/3 + 4 = 0.
-6, -2, -1
Factor -31*o**2 - 60*o + 4.
-(o + 2)*(31*o - 2)
Suppose -24*h**5 - 618*h**4 + 2913*h**3 - 4323*h**2 + 2592*h - 540 = 0. Calculate h.
-30, 1/2, 3/4, 1, 2
Determine n so that 3*n**5/8 + 15*n**4/8 + 21*n**3/8 - 3*n**2/8 - 3*n - 3/2 = 0.
-2, -1, 1
Let 4*j**3 + 140*j**2 + 268*j + 132 = 0. Calculate j.
-33, -1
Factor 2*f**4 + 416*f**3 + 21630*f**2 - 416*f - 21632.
2*(f - 1)*(f + 1)*(f + 104)**2
Determine l so that -2*l**4/7 + 24*l**3/7 - 6*l**2 - 124*l/7 + 144/7 = 0.
-2, 1, 4, 9
Factor -d**2/3 - 29*d/3 + 170/3.
-(d - 5)*(d + 34)/3
Factor -2*j**3 - 6*j**2 + 2*j + 6.
-2*(j - 1)*(j + 1)*(j + 3)
Factor -338*h**3 + 14014*h**2 - 6414*h + 738.
-2*(h - 41)*(13*h - 3)**2
Suppose 2*p**5 - 12*p**4 + 14*p**3 + 36*p**2 - 88*p + 48 = 0. Calculate p.
-2, 1, 2, 3
Factor -2*i**3/11 - 236*i**2/11 - 5922*i/11 + 63504/11.
-2*(i - 8)*(i + 63)**2/11
Determine l, given that l**4 - 26*l**3/3 + 31*l**2/3 + 140*l/3 - 100/3 = 0.
-2, 2/3, 5
Factor 45*h**2 + 4510*h + 1000.
5*(h + 100)*(9*h + 2)
Solve -22*f**4/5 - 332*f**3/15 - 538*f**2/15 - 56*f/3 - 8/15 = 0 for f.
-2, -1, -1/33
Factor -m**2/2 + 351*m/2 + 890.
-(m - 356)*(m + 5)/2
Factor 720*p**4 - 4440*p**3 + 7205*p**2 - 1110*p + 45.
5*(p - 3)**2*(12*p - 1)**2
Solve -g**5 - g**4 + 5*g**3 - 3*g**2 = 0.
-3, 0, 1
Determine n, given that n**4/3 + 14*n**3/3 + 25*n**2/3 + 4*n = 0.
-12, -1, 0
Find j such that 25*j**5 - 2505*j**4 - 2068*j**3 + 24352*j**2/5 - 11328*j/5 + 1616/5 = 0.
-2, 2/5, 101
Factor z**2/7 - 38*z/7 - 80/7.
(z - 40)*(z + 2)/7
Factor 2*l**3 - 96*l**2 - 1110*l - 2900.
2*(l - 58)*(l + 5)**2
Suppose -5*x**4 - 180*x**3 - 910*x**2 + 14700*x + 15435 = 0. What is x?
-21, -1, 7
Find l such that l**5 - 3*l**4 - 46*l**3 - 78*l**2 + 45*l + 81 = 0.
-3, -1, 1, 9
Suppose -i**2/2 - 75*i/2 - 37 = 0. What is i?
-74, -1
What is f in 2*f**2 - 732*f = 0?
0, 366
Factor -1530169*v**2/2 + 2474*v - 2.
-(1237*v - 2)**2/2
Suppose 5*x**3 + 110*x**2 + 520*x + 640 = 0. Calculate x.
-16, -4, -2
Let 2*m**2 - 17*m + 8 = 0. What is m?
1/2, 8
Suppose -a**5/4 + 15*a**4/4 + 91*a**3/4 + 173*a**2/4 + 69*a/2 + 10 = 0. Calculate a.
-2, -1, 20
Factor -q**3 - 705*q**2 - 124608*q - 123904.
-(q + 1)*(q + 352)**2
Solve s**4 + 99*s**3 + 2622*s**2 - 10108*s - 823080 = 0 for s.
-38, 15
Factor d**2/7 - 62*d/7 + 961/7.
(d - 31)**2/7
Factor -405*r**2 + 6*r.
-3*r*(135*r - 2)
Factor 38*a**3/9 - 104*a**2/3 - 30*a.
2*a*(a - 9)*(19*a + 15)/9
What is f in f**2/11 + 7*f/11 - 18/11 = 0?
-9, 2
Let -n**3 + 12*n + 16 = 0. Calculate n.
-2, 4
Factor -b**2 + 168*b - 7056.
-(b - 84)**2
Solve -36*m**4 + 188*m**3 - 292*m**2 + 164*m - 24 = 0.
2/9, 1, 3
Factor 3*a**5 - 18*a**4 - 93*a**3 + 108*a**2.
3*a**2*(a - 9)*(a - 1)*(a + 4)
Factor 2*b**2/7 + 740*b/7 + 68450/7.
2*(b + 185)**2/7
Solve -17*g**3 - 66*g**2 + 93*g - 10 = 0.
-5, 2/17, 1
Factor 4*k**3 + 1416*k**2 + 1412*k.
4*k*(k + 1)*(k + 353)
Let 3*h**4 + 462*h**3 + 912*h**2 = 0. What is h?
-152, -2, 0
What is b in 7*b**5/3 + 4058*b**4/3 + 587540*b**3/3 - 168200*b**2/3 = 0?
-290, 0, 2/7
Factor y**3/5 - 3*y**2 + 27*y/5 - 13/5.
(y - 13)*(y - 1)**2/5
Factor 4*v**4/7 + 7*v**3 + 156*v**2/7 + 36*v/7.
v*(v + 6)**2*(4*v + 1)/7
Find z such that 3*z**3 - 12*z**2 - 63*z = 0.
-3, 0, 7
Factor f**2/3 + 2*f - 112/3.
(f - 8)*(f + 14)/3
Factor -3*p**3/8 + 51*p**2/4 - 189*p/2 - 243.
-3*(p - 18)**2*(p + 2)/8
Factor -g**3/4 + 7*g**2/4 - 7*g/4 - 15/4.
-(g - 5)*(g - 3)*(g + 1)/4
Factor 2*x**3/13 - 12654*x**2/13 + 20021790*x/13 - 20009138/13.
2*(x - 3163)**2*(x - 1)/13
Suppose 2*o**5 + 46*o**4 + 102*o**3 - 414*o**2 - 1080*o = 0. What is o?
-20, -3, 0, 3
Factor -3*k**2 + 1014*k + 3069.
-3*(k - 341)*(k + 3)
Find q such that 3*q**3/4 - 123*q**2/4 + 57*q/2 + 60 = 0.
-1, 2, 40
Suppose -2*t**4 + 76*t**3 + 528*t**2 = 0. What is t?
-6, 0, 44
Determine z so that -z**5/8 - 4*z**4 - 249*z**3/8 - 335*z**2/4 - 179*z/2 - 33 = 0.
-22, -6, -2, -1
Factor 25*l**2 - 115*l - 50.
5*(l - 5)*(5*l + 2)
Let u**3/3 - 293*u**2/3 + 872*u/3 - 580/3 = 0. What is u?
1, 2, 290
Suppose -m**2 - 54*m + 952 = 0. What is m?
-68, 14
Factor -x**3/5 - 5*x**2 + 146*x/5 - 24.
-(x - 4)*(x - 1)*(x + 30)/5
Let -4*i**5 - 48*i**4 - 84*i**3 - 40*i**2 = 0. What is i?
-10, -1, 0
Factor 2*u**4/9 - 52*u**3/3 + 34*u**2 - 152*u/9.
2*u*(u - 76)*(u - 1)**2/9
Find r such that 8*r**4 - 75*r**3 - 53*r**2 + 30*r = 0.
-1, 0, 3/8, 10
Factor 9*y**2 - 367*y - 82.
(y - 41)*(9*y + 2)
Factor -54*t**5/7 - 29808*t**4/7 - 29772*t**3/7 - 9920*t**2/7 - 1102*t/7.
-2*t*(t + 551)*(3*t + 1)**3/7
Let -5*j**5 + 85*j**4 - 450*j**3 + 650*j**2 + 455*j - 735 = 0. What is j?
-1, 1, 3, 7
What is h in 4*h**3/3 - 20*h**2/3 + 16*h/3 = 0?
0, 1, 4
What is g in -2*g**3/3 + 8*g**2 - 40*g/3 = 0?
0, 2, 10
Factor -c**2 + 181*c + 366.
-(c - 183)*(c + 2)
Factor -5*n**4 - 1455*n**3 - 106575*n**2 - 105125*n.
-5*n*(n + 1)*(n + 145)**2
|
{
"pile_set_name": "DM Mathematics"
}
|
vert 306083.3 decades to millennia.
3060.833
Convert 701.2167 micrometers to centimeters.
0.07012167
How many grams are there in eleven halves of a kilogram?
5500
How many millilitres are there in 3/5 of a litre?
600
What is 0.4585076 micrometers in meters?
0.0000004585076
Convert 95964.79cm to meters.
959.6479
What is one tenth of a century in years?
10
How many centuries are there in 7777.323 years?
77.77323
What is 5.600231 millennia in centuries?
56.00231
Convert 5908.425g to milligrams.
5908425
Convert 1.122892 kilometers to millimeters.
1122892
How many millilitres are there in 91/4 of a litre?
22750
How many nanograms are there in 7.575812 kilograms?
7575812000000
Convert 302.1589 tonnes to grams.
302158900
Convert 641.7528ug to tonnes.
0.0000000006417528
How many millilitres are there in 29/5 of a litre?
5800
What is 7/4 of a litre in millilitres?
1750
How many grams are there in seven quarters of a kilogram?
1750
What is 0.5696861 milligrams in micrograms?
569.6861
Convert 0.656243 centuries to decades.
6.56243
How many micrograms are there in 1/10 of a gram?
100000
How many kilograms are there in 795.871mg?
0.000795871
How many millilitres are there in 45/2 of a litre?
22500
How many microseconds are there in 82237.32 hours?
296054352000000
Convert 8.083039 kilometers to millimeters.
8083039
How many litres are there in 289226.1ml?
289.2261
Convert 4.602486cm to millimeters.
46.02486
Convert 0.0333273 micrometers to millimeters.
0.0000333273
How many micrograms are there in 48/5 of a milligram?
9600
How many tonnes are there in 90.48144 micrograms?
0.00000000009048144
How many meters are there in one tenth of a kilometer?
100
How many millilitres are there in 5/8 of a litre?
625
How many kilograms are there in 31/2 of a tonne?
15500
What is 143.2923 centimeters in nanometers?
1432923000
What is 14260.34 millilitres in litres?
14.26034
What is 34/5 of a milligram in micrograms?
6800
How many grams are there in 8.20574mg?
0.00820574
Convert 66326.2 micrometers to nanometers.
66326200
How many milliseconds are there in 0.439304 days?
37955865.6
What is 0.6827774 tonnes in milligrams?
682777400
What is twenty-one fifths of a milligram in micrograms?
4200
How many days are there in 8220379.5 seconds?
95.14328125
What is 0.6057542 litres in millilitres?
605.7542
Convert 377491.2 meters to centimeters.
37749120
Convert 0.9135393 millilitres to litres.
0.0009135393
What is 7/25 of a litre in millilitres?
280
How many micrograms are there in fifty-nine quarters of a milligram?
14750
Convert 518826.9 litres to millilitres.
518826900
What is 19/4 of a meter in centimeters?
475
How many kilograms are there in 17/4 of a tonne?
4250
What is 7.222295cm in millimeters?
72.22295
What is thirteen eighths of a kilogram in grams?
1625
How many minutes are there in 1/36 of a week?
280
Convert 0.3626323 years to months.
4.3515876
Convert 429.126768 minutes to weeks.
0.0425721
How many years are there in 161485.4 millennia?
161485400
What is 2/45 of a hour in seconds?
160
What is one sixteenth of a kilometer in centimeters?
6250
What is 2352276.6 hours in days?
98011.525
What is 9870.401nm in meters?
0.000009870401
Convert 18.31184 decades to months.
2197.4208
How many milliseconds are there in five quarters of a minute?
75000
How many kilometers are there in 79.04206mm?
0.00007904206
Convert 361616.8l to millilitres.
361616800
Convert 359.1288 hours to minutes.
21547.728
Convert 437.9163um to centimeters.
0.04379163
Convert 93949.45 millilitres to litres.
93.94945
How many nanoseconds are there in 608.2105 seconds?
608210500000
What is 17/2 of a year in months?
102
What is 45/2 of a millimeter in micrometers?
22500
What is eighteen fifths of a millennium in centuries?
36
How many grams are there in 4912.985ug?
0.004912985
What is 3/50 of a litre in millilitres?
60
What is 4.428356nm in meters?
0.000000004428356
Convert 979.219 millilitres to litres.
0.979219
What is 1/24 of a week in seconds?
25200
How many seconds are there in 9271.287 minutes?
556277.22
What is 1/4 of a microsecond in nanoseconds?
250
What is 0.764169 litres in millilitres?
764.169
How many millilitres are there in 5/4 of a litre?
1250
What is 237.26829 months in millennia?
0.0197723575
How many tonnes are there in 415.5201ug?
0.0000000004155201
What is 761.8198l in millilitres?
761819.8
What is 3/40 of a day in seconds?
6480
How many months are there in 7/8 of a millennium?
10500
What is 49/4 of a microgram in nanograms?
12250
How many micrometers are there in 3/8 of a millimeter?
375
Convert 6032.935 micrometers to meters.
0.006032935
How many micrometers are there in twenty-seven fifths of a millimeter?
5400
What is 261081.5 millilitres in litres?
261.0815
What is 30056.54ml in litres?
30.05654
How many milliseconds are there in 781995.2 weeks?
472950696960000
How many nanometers are there in 27/5 of a micrometer?
5400
Convert 8.890902 decades to centuries.
0.8890902
What is 0.9062569l in millilitres?
906.2569
How many micrograms are there in 3/5 of a milligram?
600
What is 5.663406 years in decades?
0.5663406
Convert 0.2470932 minutes to days.
0.0001715925
How many micrometers are there in 4.310962km?
4310962000
What is 1/64 of a kilogram in milligrams?
15625
What is 79185.68 litres in millilitres?
79185680
How many weeks are there in 162632.799 minutes?
16.13420625
Convert 10.47801 millennia to decades.
1047.801
How many kilograms are there in 11/2 of a tonne?
5500
Convert 7686.06 litres to millilitres.
7686060
How many milligrams are there in thirty-four fifths of a gram?
6800
What is 253.691 hours in microseconds?
913287600000
How many decades are there in 0.5084443 millennia?
50.84443
How many millilitres are there in 391.2148l?
391214.8
How many months are there in 8/15 of a millennium?
6400
What is 750893.8 millilitres in litres?
750.8938
How many nanograms are there in 772105.6 micrograms?
772105600
Convert 10.58475 minutes to microseconds.
635085000
What is one fifth of a millennium in months?
2400
What is one fifth of a gram in milligrams?
200
What is 90.683 millennia in years?
90683
What is 860417.3 millennia in centuries?
8604173
How many millimeters are there in 64/5 of a meter?
12800
How many centimeters are there in 843.9961mm?
84.39961
Convert 847.8666ng to grams.
0.0000008478666
What is 89.34631 millennia in decades?
8934.631
How many milligrams are there in 37/2 of a gram?
18500
Convert 57651.6 grams to kilograms.
57.6516
How many centuries are there in 21/2 of a millennium?
105
How many millimeters are there in 1/5 of a centimeter?
2
What is seventeen tenths of a microsecond in nanoseconds?
1700
How many millilitres are there in 26/5 of a litre?
5200
What is 46/5 of a millimeter in micrometers?
9200
What is 1092.7587 months in millennia?
0.091063225
What is 4.95963 kilometers in millimeters?
4959630
What is 3/8 of a litre in millilitres?
375
How many millilitres are there in 48/5 of a litre?
9600
Convert 4358.477 hours to nanoseconds.
15690517200000000
How many millilitres are there in 1/20 of a litre?
50
Convert 3922.466 minutes to nanoseconds.
235347960000000
Convert 0.1989678mg to kilograms.
0.0000001989678
How many nanometers are there in thirteen fifths of a micrometer?
2600
What is 5.44026ml in litres?
0.00544026
Convert 649.2475 meters to nanometers.
649247500000
What is 9.3499 millennia in months?
112198.8
What is 717.4038 minutes in milliseconds?
43044228
Convert 243917.6ml to litres.
243.9176
How many milligrams are there in 55.0263 nanograms?
0.0000550263
How many millimeters are there in twenty-one halves of a centimeter?
105
What is 15.1625187 hours in weeks?
0.0902530875
How many seconds are there in 4/3 of a hour?
4800
How many seconds are there in 0.014374 minutes?
0.86244
What is 71/5 of a century in months?
17040
What is 29/2 of a week in hours?
2436
How many millimeters are there in 64/5 of a centimeter?
128
How many months are there in seven thirds of a century?
2800
What is 7/2 of a centimeter in millimeters?
35
How many millilitres are there in three eighths of a litre?
375
How many millilitres are there in five eighths of a litre?
625
How many millilitres are there in three fifths of a litre?
600
Convert 3759.877 millilitres to litres.
3
|
{
"pile_set_name": "DM Mathematics"
}
|
ppose -d*c = 3*s - 17486, 0 = -4*s + 5*c + 16999 + 6357. Is s a prime number?
False
Suppose -3709349 = -44*c + 14194383. Is c prime?
False
Let c(w) = -w - 1. Let o(b) = -197*b + 86. Let a(q) = 4*c(q) + o(q). Is a(-11) a prime number?
True
Let o(f) = -4523*f**2 + 8*f - 23. Let a(l) = -1508*l**2 + 3*l - 8. Let s(m) = 11*a(m) - 4*o(m). Is s(-3) a composite number?
False
Suppose -7*f + 53329 = -4*f + 2*m, 71117 = 4*f + 5*m. Suppose -327*a + 320*a = -f. Is a composite?
False
Let f = 27 - 15. Let z be (1/(f/(-4)))/(1/(-6)). Suppose 5*a = -3*d + 1631 + 1583, z*d = -5*a + 3211. Is a a prime number?
True
Suppose 6*m + 9 = 39. Suppose -p + 11346 = -a, -m*a + 3*a = -4*p + 45374. Is p a prime number?
False
Let l = 7 + -13. Let z be l/(-12)*113 + 6/(-4). Suppose z = 63*j - 62*j. Is j composite?
True
Suppose 5*f + 9*m - 336391 = 0, -57*f = -58*f - 2*m + 67277. Is f a prime number?
True
Let j = -1567 - -2668. Suppose x + 4525 = -j. Let d = -1833 - x. Is d a composite number?
False
Let s be (72/(-8))/(9/(-6)). Suppose -s*k + 13376 = -3610. Let j = -1864 + k. Is j a composite number?
False
Let u = -60645 + 85336. Is u a prime number?
True
Suppose -3*v + 170435 = x, -2*x = 558*v - 563*v - 340782. Is x prime?
False
Suppose 10 = 2*z + 4*d, 4*z + 3*d + d = 20. Suppose -3*v = 2*o - 1811, z*o = -3*v + 1599 + 2915. Is o composite?
True
Suppose -176062 = -2*b - 2*y, -3*b = -93*y + 94*y - 264109. Is b a composite number?
True
Suppose 116*l = 51*l + 49*l + 253424. Is l a composite number?
True
Let w be (-702450)/(-441) - 2/(-14). Suppose 2*d = d - 2*z + w, -4*z = d - 1595. Is d a prime number?
False
Let h be (8 - (-252)/(-30)) + 27/5. Suppose -182 = -h*b + 433. Suppose -2*l + b + 995 = 0. Is l composite?
True
Let g(q) = -430*q - 31. Let j be 10*((-22)/(-22) + (-6)/4). Is g(j) composite?
True
Is 2*(-44728)/28*49/112*-4 composite?
False
Let x = 5386 - 15164. Is 21/(-7)*x/6 prime?
True
Let p = 161 - 163. Let b(c) = -654*c**3 - 3*c**2 + 3. Is b(p) prime?
False
Is 2/(-19) - 532112350/(-7790) a composite number?
True
Suppose 0 = 4*m + 5*k - 691421, -10 = -46*k + 44*k. Is m prime?
True
Let i(n) = n**3 - 14*n**2 + 50*n - 30. Is i(16) a composite number?
True
Let s(f) = -3*f**2 + 10 - 222*f**3 + 5*f + 442*f**3 - 221*f**3. Let i be s(-4). Suppose -344 = i*a - 4346. Is a prime?
False
Let q = -2545 - -3431. Is q a prime number?
False
Let r = -37202 + 338505. Is r composite?
False
Let f = 5516 + -12933. Let c = f - -12955. Is c/6 + -6 + 4/2 prime?
True
Let s = 3604 + -1416. Let x = -1133 + s. Is x a composite number?
True
Is (46/69)/(18/1781379) a prime number?
False
Let y = 201 - 240. Is (y/(-52))/(9/9528) prime?
False
Suppose -4*t + 5*n - 17 = -48, -2*n - 18 = -3*t. Is 1*(t + -9) - (-1777 - 7) a composite number?
True
Let q = 6233 - -5420. Suppose -3*i = -4*u - u + q, -2*i - 4658 = -2*u. Is u composite?
False
Suppose -48*a + 42*a + 1680415 = 49*a. Is a a composite number?
False
Suppose -p - 4*n + 136695 = 0, 11*p - 2*n = 15*p - 546766. Is p a composite number?
False
Let s(g) = 37*g**2 + 199*g - 67. Is s(-20) a composite number?
False
Let v be 2*(-2)/8*-1736. Suppose 2*k = 5*h - 856, -5*h + v = 3*k + k. Suppose 825 + h = 4*y - 5*l, -2*y - l + 509 = 0. Is y a composite number?
True
Suppose 5123470 + 3641379 = 137*d. Is d prime?
True
Suppose 22*q - 66 = -0*q. Suppose -14832 = -q*i + 11607. Is i a prime number?
False
Is (-173748 + -9)*(-21)/63 a prime number?
False
Let s = -5869 + 11572. Suppose -27*y + 30*y - s = 0. Is y composite?
False
Let b(r) = -54*r**2 + 2*r - 7. Let p be b(5). Let q be p/(-7) - (-18)/(-42). Suppose q + 9 = 3*w. Is w prime?
True
Suppose 56*y - 9*y - 12730807 + 1866240 = 0. Is y a composite number?
True
Is 51993/2 + (-13 - (-540)/40) a composite number?
False
Suppose -3*d + 446501 = -2*q, 4*d + 5*q - 338938 = 256366. Is d prime?
False
Suppose -21*y = -29*y + 10528. Suppose 4743 + y = t - 2*n, -5*t - n + 30339 = 0. Is t a composite number?
False
Let t = -234263 + 358336. Is t prime?
False
Suppose -24*v = 64 - 136. Suppose 15399 = v*z + 4*r, -z + 2*r = 5*r - 5138. Is z a composite number?
True
Let h(z) = z**3 + 13*z**2 - 14*z + 5. Let l be h(-14). Suppose -l*s + 9 = -6. Suppose 4654 = s*x + 5*p, 5*x + 3*p = -p + 7735. Is x a prime number?
True
Let s = -126652 + 303875. Is s composite?
False
Suppose -536*k + 152198994 = 6151322. Is k a composite number?
False
Let j = -953373 + 2212252. Is j prime?
False
Let t = -97 - -125. Suppose b + a - t = 0, 3*b = 2*a - 6*a + 89. Suppose 5*c - 348 = -b. Is c a prime number?
False
Suppose 10*o + 836 = 7216. Suppose m + 8*v = 3*v + o, -4*m + 3*v = -2529. Is m a prime number?
False
Let u = -3371 + 27200. Let k = u - 10352. Is k composite?
False
Let v(q) = -9 - 184*q - q**2 + 162*q - 13. Is v(-6) a composite number?
True
Let z be (-4 + 140)/(45/(-24) - -2). Let x = z + -234. Let w = 1555 - x. Is w a composite number?
False
Let c(j) = -434*j**3 + 18*j + 27. Is c(-4) composite?
True
Let v = 59931 - 40700. Is v a prime number?
True
Let o(t) = 14*t**2 + 7*t - 34. Let d be o(6). Suppose 0 = 5*m + 11308 + d. Let j = 3541 + m. Is j prime?
False
Suppose 0 = 17*w - 27*w + 31040. Suppose -w = -3*z + 1843. Is z prime?
False
Let c(v) = 0*v**2 + 2*v**2 + 0*v - v**2 - 2 + 3*v**3 - 2*v. Let d be c(-2). Is (-2)/(-5)*(-20205)/d composite?
False
Let j(h) = -h**3 - 8*h**2 + 10*h + 12. Let w be j(-9). Let b be 260/(-8) + (-15)/10. Is (b - w)*(-1 - 1) prime?
False
Let z(c) = -c**3 - 3*c**2 - 7*c - 13. Let g be z(-5). Let b = g + -72. Is (13263*4/(-6))/(-2 + b) prime?
True
Suppose 5*t + n - 7593 = 0, -n + 2106 + 933 = 2*t. Suppose o = t + 485. Let r = -812 + o. Is r a prime number?
False
Let z = -93783 - -140213. Suppose 0 = 15*i - 25*i + z. Is i a composite number?
False
Let d(k) be the second derivative of -k**5/20 - 7*k**4/12 - 5*k**3/3 - 23*k**2/2 - 10*k. Let r be d(-6). Is r/((-7254)/1814 - -4) a prime number?
True
Let y = -332734 - -619407. Is y a composite number?
False
Is 3*((-54824964)/232)/((-9)/4) composite?
True
Suppose -2*t = 10*t - 16*t + 1117588. Is t a prime number?
True
Suppose -1233 = -j + 2*l, -3*j + 0*l + 3669 = 4*l. Let w be (1 - j/21)/(3/(-21)). Suppose -5*i = -5*a + 1790, 2*i + 1032 = 4*a - w. Is a a prime number?
True
Let r(j) = 37*j**2 - 62*j**3 - 86 - 74*j + 134*j**3 - 71*j**3. Is r(-35) a composite number?
True
Suppose -2*j = 0, 6*q - 4318292 + 1533878 = 4*j. Is q prime?
True
Let b = 119059 - 52568. Is b composite?
False
Let f(m) = 23*m**2 - 119*m + 97. Is f(42) a composite number?
False
Let z be 4/(16/(-156))*543/(-9). Suppose 3*y - 4*o = z, 4*y + 4*o + 0*o = 3156. Is y a prime number?
True
Let m = 38402 - -118539. Is m prime?
True
Suppose 4*d - 14431 = 4457. Let a = d + -2542. Is (4/(-20))/((-4)/a) a prime number?
True
Let p(f) be the second derivative of 17521*f**4/12 - f**3/6 - f**2/2 + 47*f. Is p(1) a composite number?
False
Suppose -3*k = -2*g - 2*k - 39687, -2*k - 99195 = 5*g. Let a = g + 34608. Let s = a + -7484. Is s composite?
False
Suppose -107 = -8*n + 6*n + 5*m, -196 = -4*n + 4*m. Suppose 0 = -2*x + g + 23022, -3*g - 22968 = -2*x + n. Is x a prime number?
False
Suppose 4*o - 12*q + 11006 = -7*q, 4*q + 8 = 0. Let f = 4583 + o. Is f prime?
False
Let h = -165136 - -779265. Is h a prime number?
True
Let t(u) = 0*u + 8*u + 24 - 4*u. Let l be t(-5). Suppose l*g - 3358 = 2238. Is g prime?
True
Is (21/35)/(21/1224755) a composite number?
True
Suppose 0 = 1412*s - 1276*s - 961112. Is s a composite number?
True
Let u(f) = -1174*f + 26. Let b(v) = 2348*v - 53. Let q(l) = -4*b(l) - 9*u(l). Let m be q(6). Suppose 4*w - m = 2542. Is w a composite number?
True
Is 190/(-10) + (-1515900)/(-25) a prime number?
True
Let t(n) = 2122*n + 24. Let y be t(5). Let a = -5773 + y. Is a composite?
False
Suppose k = -4*z + 2645, z + 5290 = 2*k - 2*z. Let u = 726 + k. Is u a composite number?
False
Suppose 17*q + 21 = -81. Let u(k) = 199*k**2 - 2*k + 25. Is u(q) composite?
True
Let k = -314 - -1525. Suppose -k = -w - 0*w. Suppose -13*d - w = -14*d. Is d a composite number?
True
Let l be 2 + 1 + 9 - (-15)/(-3). Suppose -q - 17371 = -3*x, 4*x - 4*q = -l*q + 23170. Is x a composite number?
False
Is (10 + (-686)/70)*647585 a prime number?
True
Suppose -4*k + 86 = j, 2*k + 0*k = 3*j + 50. Let w be (56940/k - 3) + 4/(-22). Let l = w - 1772. Is l
|
{
"pile_set_name": "DM Mathematics"
}
|
y 2345?
175
Calculate the remainder when 222221 is divided by 88.
21
What is the remainder when 6549168 is divided by 1209?
15
Calculate the remainder when 116686 is divided by 29148.
94
Calculate the remainder when 43086966 is divided by 5040.
6
Calculate the remainder when 18358 is divided by 16819.
1539
Calculate the remainder when 154061 is divided by 190.
161
What is the remainder when 988342 is divided by 2221?
2218
What is the remainder when 2332867 is divided by 812?
803
Calculate the remainder when 11756667 is divided by 2939158.
35
Calculate the remainder when 24480 is divided by 497.
127
What is the remainder when 28499160 is divided by 1239092?
44
What is the remainder when 6432475 is divided by 687?
94
Calculate the remainder when 31405 is divided by 4475.
80
Calculate the remainder when 8367594 is divided by 48.
42
Calculate the remainder when 653981 is divided by 426.
71
What is the remainder when 105774 is divided by 1854?
96
What is the remainder when 209626965 is divided by 3218?
9
What is the remainder when 1353605 is divided by 84599?
21
What is the remainder when 839375 is divided by 419649?
77
What is the remainder when 82106 is divided by 951?
320
Calculate the remainder when 126746122 is divided by 15.
7
Calculate the remainder when 6701592 is divided by 772.
632
Calculate the remainder when 9599109 is divided by 131.
84
Calculate the remainder when 684554 is divided by 395.
19
What is the remainder when 15663099 is divided by 4223?
4215
What is the remainder when 29134 is divided by 6521?
3050
What is the remainder when 93106 is divided by 46541?
24
What is the remainder when 9399 is divided by 4613?
173
What is the remainder when 2024890 is divided by 4976?
4634
Calculate the remainder when 363642 is divided by 1449.
1392
What is the remainder when 8990968 is divided by 552?
544
Calculate the remainder when 21982903 is divided by 5985.
5983
Calculate the remainder when 52023227 is divided by 152.
11
What is the remainder when 1093 is divided by 287?
232
What is the remainder when 1845298 is divided by 39261?
31
What is the remainder when 33027305 is divided by 2609?
2583
Calculate the remainder when 3771192 is divided by 2892.
24
What is the remainder when 622082 is divided by 3?
2
Calculate the remainder when 789668 is divided by 223.
25
Calculate the remainder when 1738752 is divided by 3961.
3834
What is the remainder when 8282 is divided by 599?
495
Calculate the remainder when 44354985 is divided by 7500.
7485
Calculate the remainder when 7585656 is divided by 106.
84
Calculate the remainder when 1824062 is divided by 26824.
30
Calculate the remainder when 763834 is divided by 254610.
4
Calculate the remainder when 561955061 is divided by 1019.
1017
What is the remainder when 11949 is divided by 597?
9
Calculate the remainder when 5096576 is divided by 2455.
2451
Calculate the remainder when 4173919 is divided by 173.
121
What is the remainder when 32407 is divided by 6281?
1002
What is the remainder when 88278083 is divided by 738?
737
Calculate the remainder when 3328196 is divided by 19124.
620
What is the remainder when 1498028 is divided by 374501?
24
Calculate the remainder when 6339302 is divided by 1695.
2
What is the remainder when 2243236 is divided by 1641?
1630
What is the remainder when 417127 is divided by 68984?
3223
What is the remainder when 35082 is divided by 799?
725
Calculate the remainder when 20094338 is divided by 20.
18
Calculate the remainder when 702793 is divided by 476.
217
What is the remainder when 421162 is divided by 9155?
32
Calculate the remainder when 9858323 is divided by 4929143.
37
What is the remainder when 437563 is divided by 64?
59
Calculate the remainder when 373615 is divided by 92817.
2347
Calculate the remainder when 843900 is divided by 24111.
15
Calculate the remainder when 947671 is divided by 2677.
13
Calculate the remainder when 327003 is divided by 108907.
282
Calculate the remainder when 1325836 is divided by 4143.
76
What is the remainder when 2567373 is divided by 186?
15
Calculate the remainder when 26788065 is divided by 514.
441
What is the remainder when 18724000 is divided by 3068?
3064
Calculate the remainder when 63305 is divided by 638.
143
What is the remainder when 178287 is divided by 334?
265
Calculate the remainder when 235166 is divided by 78151.
713
Calculate the remainder when 2848786 is divided by 569712.
226
What is the remainder when 40786784 is divided by 113?
112
What is the remainder when 60910 is divided by 1617?
1081
Calculate the remainder when 111015574 is divided by 1234.
1232
What is the remainder when 53190 is divided by 3239?
1366
Calculate the remainder when 9107707 is divided by 11.
4
Calculate the remainder when 248542 is divided by 1738.
8
Calculate the remainder when 163039 is divided by 117.
58
What is the remainder when 1241356565 is divided by 91?
85
What is the remainder when 1043821 is divided by 319?
53
What is the remainder when 785580 is divided by 112218?
54
What is the remainder when 3712143 is divided by 2700?
2343
What is the remainder when 20843521 is divided by 1024?
1
Calculate the remainder when 1630446 is divided by 271720.
126
What is the remainder when 1477791 is divided by 292?
271
Calculate the remainder when 3712 is divided by 1038.
598
What is the remainder when 8629 is divided by 3479?
1671
What is the remainder when 252797 is divided by 248809?
3988
What is the remainder when 3624998 is divided by 10?
8
What is the remainder when 983294 is divided by 11039?
823
What is the remainder when 6667293 is divided by 27?
21
What is the remainder when 184023 is divided by 138?
69
Calculate the remainder when 2335 is divided by 1470.
865
What is the remainder when 2213477 is divided by 122?
31
Calculate the remainder when 7389295 is divided by 100.
95
Calculate the remainder when 116347 is divided by 5288.
11
What is the remainder when 35467492 is divided by 118?
114
Calculate the remainder when 12806 is divided by 3159.
170
What is the remainder when 79584 is divided by 1207?
1129
What is the remainder when 9822 is divided by 8782?
1040
What is the remainder when 109001 is divided by 238?
235
Calculate the remainder when 21068791 is divided by 44.
7
Calculate the remainder when 435138 is divided by 932.
826
Calculate the remainder when 306457 is divided by 76571.
173
What is the remainder when 27276112 is divided by 2479646?
6
What is the remainder when 1434885 is divided by 56?
53
Calculate the remainder when 50966 is divided by 1105.
136
What is the remainder when 2064262 is divided by 34987?
29
What is the remainder when 376319 is divided by 47011?
231
Calculate the remainder when 3364 is divided by 2815.
549
What is the remainder when 258879 is divided by 3404?
175
Calculate the remainder when 56839 is divided by 10908.
2299
What is the remainder when 77608 is divided by 25554?
946
What is the remainder when 1975232 is divided by 3502?
104
What is the remainder when 997874 is divided by 24338?
16
Calculate the remainder when 4804013 is divided by 2096.
2077
Calculate the remainder when 3398113 is divided by 7230.
13
What is the remainder when 895518 is divided by 34435?
208
Calculate the remainder when 19265824 is divided by 332.
196
What is the remainder when 7637952 is divided by 169?
166
Calculate the remainder when 1417055 is divided by 34562.
13
Calculate the remainder when 12288324 is divided by 7.
6
Calculate the remainder when 64816124 is divided by 50.
24
What is the remainder when 135973 is divided by 45312?
37
Calculate the remainder when 6554720 is divided by 104043.
11
Calculate the remainder when 368199215 is divided by 7.
6
Calculate the remainder when 491196 is divided by 3168.
156
Calculate the remainder when 16920 is divided by 2.
0
What is the remainder when 2601829 is divided by 370?
359
What is the remainder when 41805106 is divided by 31?
25
Calculate the remainder when 150570 is divided by 37.
17
Calculate the remainder when 162428 is divided by 858.
266
Calculate the remainder when 3934838 is divided by 441.
236
Calculate the remainder when 51384492 is divided by 61.
44
Calculate the remainder when 7776687 is divided by 13.
9
What is the remainder when 1641813 is divided by 1
|
{
"pile_set_name": "DM Mathematics"
}
|
rst derivative of -7*d*g*k**3 + 3814*d*g*k + 74*d*k**3 - g*k**3 - g*k**2 - 71*g*k - 869*k**3 + 2*k**2 + 1 wrt d?
-7*g*k**3 + 3814*g*k + 74*k**3
What is the derivative of 124*k**3 + 59459*k**2 - 2*k - 5858466?
372*k**2 + 118918*k - 2
Find the third derivative of 53892761*x**4 - 33476807*x**2 wrt x.
1293426264*x
What is the first derivative of 163916935*b**3*z + 225494211*b**3 wrt z?
163916935*b**3
What is the derivative of -464*j**2*v**3 + 46*j**2*v**2 + 10*j*v - 47*v**3 - v**2 - 2*v - 3797 wrt j?
-928*j*v**3 + 92*j*v**2 + 10*v
What is the first derivative of 530752693*i*t**3 - 1966*t**3 - 5*t**2 - 2*t - 862 wrt i?
530752693*t**3
Find the first derivative of 115247200*n - 27353111.
115247200
Find the second derivative of 83185982*n**3 - 84108*n + 153.
499115892*n
Find the second derivative of -598636679*d**5 - 10*d + 20939605 wrt d.
-11972733580*d**3
What is the third derivative of -579796377*i**3 + 227*i**2 - 209873?
-3478778262
Find the third derivative of -20413806*l**3 - 108760*l**2 - 99*l wrt l.
-122482836
What is the first derivative of 80561*k**2 - 2*k - 2249148 wrt k?
161122*k - 2
Find the third derivative of -173*a**5*p - 21766*a**3*p**2 - 418*a**2*p**2 + 61*a**2*p - 407*a*p**2 wrt a.
-10380*a**2*p - 130596*p**2
Find the second derivative of 877448121*w**2 - 1192635106*w.
1754896242
Find the third derivative of 5*d*l**4 - 15935*d*l**3 + d*l + 119*l**4 - 28626876*l**2 wrt l.
120*d*l - 95610*d + 2856*l
What is the third derivative of 25*i**6 + 1173281*i**4 - 58347925*i**2?
3000*i**3 + 28158744*i
What is the first derivative of 12984019*u - 3292073?
12984019
What is the second derivative of 324171*n**3 + 14*n**2 - 2899112*n?
1945026*n + 28
Find the second derivative of 8*b*w**3 + b*w**2 + 14*b*w + 3*b - 10*w**3 + 264491*w**2 - 376562*w + 2 wrt w.
48*b*w + 2*b - 60*w + 528982
Find the third derivative of b**4*c**3 + 381532*b**4*c + 5*b**2*c**3 - 7*b**2*c**2 + 5*b**2*c - 2*b**2 - 1990*b*c**3 wrt b.
24*b*c**3 + 9156768*b*c
Find the second derivative of 231*f*y**2 - f*y + 62*f + 15043*y**2 - 79*y + 168 wrt y.
462*f + 30086
What is the derivative of -15229389*f*l**3 - 1999459*l**3 - 4*l wrt f?
-15229389*l**3
What is the derivative of -4*h*z + 397596*h + 226*z - 15320 wrt h?
-4*z + 397596
What is the first derivative of -36722733*k**3 + 50335425?
-110168199*k**2
What is the third derivative of -35063139*v**4*z - v**4 - 54*v**2*z - 471*v**2 + v*z - 2*v - 2*z - 39 wrt v?
-841515336*v*z - 24*v
Find the third derivative of -5382272*g**3 - 134*g**2 - 1444 wrt g.
-32293632
What is the first derivative of -28*g**2*p - 851481462*g**2 + 350967*g*p + 17*p wrt p?
-28*g**2 + 350967*g + 17
Find the second derivative of -3774*u**5 - 4732*u**3 + 23035095*u wrt u.
-75480*u**3 - 28392*u
Find the second derivative of -1494*q**2*x**2 + 324*q**2*x - 2*q**2 + 990*q*x**2 - 4*q + 20*x**2 - 48*x + 34 wrt x.
-2988*q**2 + 1980*q + 40
What is the third derivative of -1777654*d**3*l**2 + 11*d**3 + d**2*l**2 - 453*d**2*l - 19*d*l**2 - 4*d - l wrt d?
-10665924*l**2 + 66
Find the third derivative of -x**5 - 1701754*x**3 + 586515*x**2.
-60*x**2 - 10210524
What is the second derivative of 1130958512*l**2 - 53*l + 216617?
2261917024
What is the first derivative of 3*c**3 + 25516907*c - 38051798?
9*c**2 + 25516907
Find the third derivative of 468643*r**2*u**3 + 27*r**2*u + 8*r*u**3 + 569*r*u**2 - r + 17*u**2 wrt u.
2811858*r**2 + 48*r
Find the first derivative of 268*r**3 - 21713*r - 12030664.
804*r**2 - 21713
What is the derivative of 4071109*c*h**3 + 3720*h**3 - 28*h**2 - 2*h - 4 wrt c?
4071109*h**3
Find the first derivative of 2*h**2*s + 84112*h**2 + 583542*h*s - h - 3*s - 921 wrt s.
2*h**2 + 583542*h - 3
Find the third derivative of -11556784*i**3 + 4450551*i**2.
-69340704
Find the first derivative of 2553*l**4*q + 34*l**2*q + 6*l*q**3 - 13*q**3 - 2*q**2 + 1678*q + 1 wrt l.
10212*l**3*q + 68*l*q + 6*q**3
What is the derivative of -261044513*o**3*x - 22*o**3 - 1707*o**2 + 637 wrt x?
-261044513*o**3
What is the third derivative of -618206*z**5 + 16*z**4 + 102713*z**2 + 71*z?
-37092360*z**2 + 384*z
What is the second derivative of -17855264*l**3 + 60751439*l wrt l?
-107131584*l
Find the third derivative of -6730512*z**4 - 5389*z**2 - 440.
-161532288*z
Differentiate -5942905*q + 6587343 wrt q.
-5942905
What is the third derivative of 4710*h**3*r**3 - 1883*h**3*r + 8*h**3 + 6*h**2*r - 8*h*r**3 - 6*h*r**2 + 5*h*r + 14*r**3 - 60*r wrt h?
28260*r**3 - 11298*r + 48
Find the third derivative of 5*a*g**3*v - 17087*a*g**3 - 2*a*g + 11*a*v - 3*a + 13*g**3*v - 2*g**3 - 119572*g**2*v - 4*g*v wrt g.
30*a*v - 102522*a + 78*v - 12
What is the third derivative of -51469884*m**2*t**3 + 1335*m**2*t**2 - 32433*m**2 wrt t?
-308819304*m**2
What is the third derivative of -40585066*w**4 - 8*w**2 - 255519*w + 2?
-974041584*w
Differentiate -52*i**3 + 73*i**2 - 936*i + 83261824.
-156*i**2 + 146*i - 936
What is the third derivative of -24229794*c**3*q**3 + 4325*c**2*q + 4*c*q**3 + 304*c*q**2 wrt c?
-145378764*q**3
What is the derivative of 11144*r*y**3 - 7756*r*y**2 + 898700*y**3 + 11*y**2 wrt r?
11144*y**3 - 7756*y**2
Find the third derivative of -289709*b**3*h**2*t**2 - 25*b**3*t**2 + b**2*h**2*t**2 + b**2*h**2*t - b**2*h*t**2 + 21*b*h*t**2 - h*t**2 - 19*h*t + 19*h wrt b.
-1738254*h**2*t**2 - 150*t**2
Find the third derivative of 32148671*c**4 + 3*c**2 - 604004*c wrt c.
771568104*c
What is the third derivative of -17696251*b**3 - 2069858*b**2 wrt b?
-106177506
Find the second derivative of -5198*y**3 + 920*y**2 - 909560*y - 41.
-31188*y + 1840
Find the first derivative of 622357*k**3*r - 2*k**3 - 3991*k**2 - k + 86 wrt r.
622357*k**3
Find the third derivative of 23*d*q**3*u**3 - 6*d*q**3*u + 2*d*q**3 + 3*q**3*u**2 - 11337*q**3*u - 85*q**2*u**3 - 434*u**3 wrt u.
138*d*q**3 - 510*q**2 - 2604
Find the second derivative of 1000781*r**2 - 1916462*r.
2001562
Find the second derivative of 203*t**4 - 2*t**3 + 90848*t**2 + 511468644*t wrt t.
2436*t**2 - 12*t + 181696
Find the first derivative of -530579*d**3 + 11182857.
-1591737*d**2
What is the second derivative of 24310474*b*u**4 - 33075*b*u - 24*u wrt u?
291725688*b*u**2
Find the second derivative of -3*n*w**3 + 1098*n*w**2 + n - 13526*w**3 - 124963*w - 113 wrt w.
-18*n*w + 2196*n - 81156*w
What is the third derivative of -67063566*v**2*x**3 + 81*v**2*x - 3*v**2 - 5*v*x**2 + 8*v*x - 43 wrt x?
-402381396*v**2
Find the third derivative of -4*c**3*s**4 + c**3*s**2 + 4*c**3*s + 2*c**2 + 8539*c*s**4 + 19*s**3 - 77*s**2 - 230*s wrt s.
-96*c**3*s + 204936*c*s + 114
What is the second derivative of 375973906*q**2 + 213*q + 1569982?
751947812
Find the second derivative of -22*n**3*p**2 - 22*n**3*p - 67*n**3 + n**2 + n*p**2 - n + 1087143*p**2 - 123*p + 1 wrt p.
-44*n**3 + 2*n + 2174286
What is the second derivative of 18670706*y**2 + 19220813*y?
37341412
Find the first derivative of -809754*o**2 + 6*o + 12253310 wrt o.
-1619508*o + 6
Find the third derivative of 48*q**5 + 5*q**4 + 181458*q**3 - 522008849*q**2.
2880*q**2 + 120*q + 1088748
Differentiate 910*g**2*h + 3596034*g**2 + 2996*g*h with respect to h.
910*g**2 + 2996*g
Find the second derivative of 131*k**2*w**3 + 2*k**2*w**2 - 41*k**2*w - 494*k*w**3 + 21080*k*w wrt w.
786*k**2*w + 4*k**2 - 2964*k*w
What is the first derivative of 64*h**2*u - 56445509*h**2 - 6*h*u**2 + u**2 - 2106*u wrt u?
64*h**2 - 12*h*u + 2*u - 2106
Find the second derivative of 54098711*r**2 + 14062713*r - 4.
108197422
What is the second derivative of -402414*g**4*i*p**2 - 17*g**2*p**3 - 2*g*i*p**3 + 625009*g*p**2 - 4*i*p**2 wrt g?
-4828968*g**2*i*p**2 - 34*p**3
What is the first derivative of -170647715*l - 185481403?
-170647715
What is the third derivative of 348416788*w**3 + 13*w**2 + 261907*w - 3?
2090500728
Find the second derivative of 14359621*x**2 - 176600*x - 20 wrt x.
28719242
What is the third derivative of 83*l*z**4 - l*z**3 + 1245*l*z + 20*l + 505*z**3 + 3*z**2 wrt z?
1992*l*z - 6*l + 3030
What is the third derivative of -186*j**3*p**2*r**2 - 3657826*j**3*p*r**3 + 8*j**3*p*r**2 + 4*p**2*r**3 - 6838*p**2*r - p*r wrt r?
-21946956*j**3*p + 24*p**2
What is the third derivative of -25448644*d**3*z - 10*d**2*z + 253*d*z - 100*z wrt d?
-152691864*z
Find the second derivative of 2*d**4 + 16244*d**3 - 68*d**2 - 11803617*d.
24*d**2 +
|
{
"pile_set_name": "DM Mathematics"
}
|
(-3 - (-2 + 1))
1
Evaluate 4 + -5 - (-2 + 1) - 2.
-2
What is the value of (-1 - -3) + -13 + 5 + 10?
4
-12 - (-26 - -2) - 2
10
Evaluate (-3 + -2 - -8) + 0.
3
0 + -3 + -4 + 9
2
Calculate 15 + (-8 - -6) + -7.
6
Evaluate -14 + (7 + -1 - (14 - 14)).
-8
Evaluate 3 - (7 - -8) - -9.
-3
What is the value of 14 + -6 - (16 + -6)?
-2
What is 6 + -4 + 3 + -3 + 7?
9
Calculate (-2 - (2 - 2)) + 1 - 0.
-1
What is the value of 7 + (4 - (0 + 2) - 7)?
2
What is the value of -7 + (-2 - (0 - 4) - 3)?
-8
3 - 7 - 1 - -1
-4
What is -7 - (3 - 4 - 6)?
0
-4 - (0 + 3 + -6 - -3)
-4
What is 0 + -7 - (-17 - (4 + -8))?
6
-2 - (1 + -6) - 2 - -4
5
2 - ((-9 - -4) + 5)
2
What is 1 - -2 - (-10 + 17)?
-4
What is the value of -5 - (-7 + (-6 - -2) + 6)?
0
What is the value of -5 - (-4 + -4 + 7)?
-4
What is 3 + -10 + (1 - -1 - -1)?
-4
(12 - 0 - 0) + -4
8
What is the value of -19 + 23 + -9 + -1 + 8?
2
Calculate -3 - 0 - (87 + -91).
1
What is the value of -2 + (12 - (7 + 1))?
2
What is (6 + 1 - 4) + 2 + -5?
0
Evaluate 3 - (6 + 0) - (1 + -1).
-3
Evaluate -6 + 3 + -4 + 5.
-2
Calculate -2 + 4 + 12 + -13.
1
Evaluate (9 - 5) + 3 + (-7 - -3).
3
What is 5 + -3 - 3 - 6 - -5?
-2
Calculate 8 + (2 - 4) + -4.
2
Calculate -7 - (-3 - 0 - -1).
-5
Calculate (-8 + 6 + -5 - -4) + -6.
-9
-7 + (17 - 9) + 3
4
What is the value of -4 + 3 + (-4 - -2) + 1?
-2
Evaluate 1 + (3 - -2) + (-7 - -4).
3
What is -8 + 12 + (-3 - -3)?
4
What is the value of (-6 - -1) + 51 + -56?
-10
What is the value of -3 + (-6 - (-3 + -3))?
-3
What is -9 + 10 - (4 + -2)?
-1
What is 5 + (-1 - 3) + (-7 - -1)?
-5
What is the value of (33 - 27) + (-2 - -2)?
6
2 + (-7 - -1) + (18 - 8)
6
What is -46 + 36 - (-5 - -1)?
-6
(4 - 3) + -4 + -3
-6
What is (-4 - -4 - -3) + -3?
0
Evaluate -3 - (-3 - -1 - (-9 - -7)).
-3
Calculate 2 - (-1 + 0 + 9 - 4).
-2
Calculate (-1 - (-5 + -1)) + -4.
1
Calculate -5 + 2 + (11 - 8) + -2.
-2
What is -2 - (1 + -4 - -3 - 3)?
1
Calculate 3 + (-9 - -2) + 5 - -2.
3
Calculate (0 - -1 - -2) + -5.
-2
What is the value of 3 - (1 + (1 - (7 - 3)))?
5
(2 - 8) + -14 + 25
5
0 - -1 - 0 - -3
4
What is the value of (-2 - (1 + -4 + -1)) + -6?
-4
What is -3 - (5 + -3) - -7?
2
Evaluate 8 + -6 + 2 - (-2 + 3).
3
Calculate 2 + -7 - (-1 + -2 + 3).
-5
What is the value of 2 - (-4 - -5) - 7?
-6
Evaluate 0 - 6 - (3 + 2 + -5).
-6
0 + 3 + -8 - (2 - 2)
-5
-1 + 2 + (-1 - -2 - 1)
1
Calculate -3 - 1 - (22 - 21).
-5
(-2 + 3 - -2) + (0 - 0)
3
Evaluate -1 + -4 + (-2 - -3) + 1.
-3
2 + 2 - (21 + (-8 - 13))
4
What is 0 + 7 - 7 - -2 - -4?
6
Calculate 7 + (9 + -7 - 4).
5
What is -2 - (-1 + -1 + -3 + 4)?
-1
-1 - (0 + 1) - -2 - -1
1
What is the value of (-1 + 3 - 2) + 5?
5
(9 - 5) + 4 + -10 + 2
0
What is the value of 6 + -6 + 3 - (-4 - -6)?
1
What is the value of 1 - (-5 - ((-1 - 10) + -1))?
-6
Evaluate -3 - (-10 + 21) - -9.
-5
Evaluate 1 - (3 + 1 + 3 + -4).
-2
What is -15 + (9 - 7) + 6?
-7
What is the value of 4 - (-5 - (0 + -9))?
0
Calculate -4 + 2 + (10 - 12) + -1.
-5
11 + -2 + (0 - (9 + -7))
7
What is 10 + (-13 - -7) - -1 - 8?
-3
Evaluate (263 - 255) + (-4 - 1) + -1.
2
Calculate -1 + -5 - -18 - 13.
-1
((4 - -3) + -4 - 1) + -3
-1
What is 1 - (2 + -2 - -6)?
-5
What is 4 - (2 + -1) - (-2 - -4)?
1
(26 - 23) + (1 - (-3 - 0))
7
What is the value of 59 + -56 - (7 - (0 - 0))?
-4
Evaluate (2 - 8) + 3 + (-5 - -2).
-6
What is -23 + 26 - (1 + -1 + 1)?
2
5 - (5 + -1 + -1)
2
-1 + 12 - (1 - -3)
7
Calculate -1 - 1 - (-3 - 2).
3
-3 + 7 - (-2 - -9) - 6
-9
Calculate 1 + 0 + -1 - 2.
-2
What is -1 - (-5 - ((-7 - 2) + 0))?
-5
-5 + 1 + -1 + 8 - 0
3
What is the value of -4 - (1 + 2 + (2 - 5))?
-4
Calculate 6 + -2 + 2 - 11.
-5
What is the value of -3 + (-5 - -1) + (-6 - -9)?
-4
What is the value of -51 - -58 - (-1 + 10)?
-2
Evaluate -9 + 0 + (1 + 4 - 1).
-5
-13 + (-4 + 1 - -4) + 5
-7
-9 - (5 - 10 - -1)
-5
What is (3 - (-2 - -2)) + (0 - 1)?
2
What is the value of -3 - (7 + 2 + -7 + -3)?
-2
What is the value of -21 + 29 - (-1 + 6)?
3
What is the value of -2 + 5 - (3 - -1) - 2?
-3
Evaluate -12 - (-20 + 8 - -5).
-5
What is 6 - (-1 + (-4 - (-8 + 2)))?
5
Evaluate -5 + 10 - ((0 - 1) + 4).
2
What is the value of 4 + (-2 - (-3 + 5))?
0
3 - (8 - (3 - 4))
-6
Evaluate 7 + 2 + -7 - (0 + 4).
-2
-1 - (7 + -5 - 2)
-1
What is 3 - 1 - (8 + -3)?
-3
Evaluate 3 + (2 - 2) + 0 + 0.
3
Evaluate 1 + 6 - (-9 + 22).
-6
What is 8 - (0 + -4 + 12)?
0
Evaluate (-2 - -1 - 1) + -5 + 12.
5
Calculate (-7 - -13) + (-4 - 4).
-2
What is the value of 3 + (-3 - (0 - -5)) + 2?
-3
What is (0 - -3) + (-43 - -46)?
6
Calculate -8 - (-7 + (-4 - -5)).
-2
Evaluate -144 + 146 + (0 - -5).
7
Calculate (6 - -3) + -5 - (3 + -1).
2
What is the value of 0 - (3 - 1) - 2 - -2?
-2
Calculate 2 - ((1 - 2) + -2 + 6).
-1
What is the value of (85 - 71) + (-6 - 1)?
7
What is 5 + -12 + 14 + -3?
4
What is the value of 5 - (6 - (-4 + 5)) - -3?
3
What is the value of 5 + -2 - 1 - (-8 - -6)?
4
Calculate 3 + -1 + (23 - 31).
-6
Calculate 2 - ((-1 - (-2 - 1)) + 6).
-6
Evaluate 8 + -4 - (7 + -4 - 1).
2
Calculate -3 + (-1 + 1 - (4 + -4)).
-3
Evaluate (2 - -4) + (-1 - 0) + -2.
3
2 - (3 - 6) - 5
0
Evaluate -4 + -1 + (8 - 9).
-6
What is 2 + (1 - (6 + -7))?
4
13 + -7 - (4 + -4)
6
What is the value of 3 + -5 - ((0 - 0) + -3)?
1
What is 4 - 1 - (4 - 6)?
5
What is the value of -8 + -16 + 10 - -8?
-6
What is the value of 7 - (-3 + (-4 - (-14 - -4)))?
4
Evaluate 1 + 1 + -1 + (-9 - -5).
-3
Evaluate (3 - 5) + 1 - 1.
-2
Calculate 10 + (-1 - (17 - 10)).
2
What is 8 + (-7 - (6 + -12))?
7
(6 - (-1 + 4) - 2) + -3
-2
What is 0 + 0 + (-4 - -5) + 3?
4
Calculate -7 - (-9 + 5) - (-12 - 0).
9
What is (3 - 5 - 0) + 2?
0
-1 - -5 - ((2 - 0) + 5)
-3
What is the value of (1 - 0) + (8 - (8 + -4))?
5
What is -2 + 2 + (-22 - -25)?
3
Evaluate 2 - (1 + -2) - (-3 + 1).
5
Calculate (-1 - 1 - -3) + -4.
-3
Evaluate 11 - (1 - (-2 + -2 - 0)).
6
Evaluate -9 - (-6 - -2 - 9).
4
-4 + -4 + 12 + 2 + -10
-4
-5 + -3 - (24 + -26)
-6
Calculate 0 + (3 + -11 - 3).
-11
What is 4 + 1 + -7 + 8?
6
Calculate -4 + (-1 + 5 - -3).
3
Calculate (-3 - (0 - 1)) + -1 - -4.
1
What is the value of -2 + 0 + -2 + 3 + -4?
-5
Evaluate 20 + -10 + -29 + 9.
-10
What is the value of (-1 - -3) + (10 + -26 - -19)?
5
(1 - -1 - -1) + (-3 - -9)
9
What is the value of (-2 - 2) + 4 - (3 - 4)?
1
Calculate 98 + -111 + 2 + 7.
-4
-6 - -3 - -4 - (5 + -3)
-1
Evaluate 0 + (0 + 1 + 0 - 2).
-1
(-3 - -3) + (8 + 3 - 6)
5
What is (-9 - -1) + 5 + -2 + 4?
-1
Calculate -20 - -27 - (1 + 12).
-6
Evaluate -1 - -6 - (4 + -1).
2
What is the value of -5 - (0 + (2 + -3 - -1))?
-5
Evaluate -8 - (4 + -4 + 1) - 1.
-10
Evaluate -11 - (-14 + -11) - 10.
4
-4 + 4 - (0 + 0) - 0
0
Evaluate -2 + -1 + 0 + 0.
-3
Calculate (8 - 0) + (42 - 45).
5
What is the value of 3 + -4 + 3 + -4?
-2
What is the value of (-3 + 0 + 1 - 2) + 9?
5
What is 3 + (-10 - (1 + -7))?
-1
Calculate -62 + 48 + -1 + 6.
-9
What is -5 + (-3 - 0 - -8)?
0
1 - (-4 + 4 + -3)
4
Calculate (1 - 0) + (0 - -7) + -13.
-5
Evaluate (1 - (-3 + 13 + -5)) + 3.
-1
Evaluate 5 - (-1 + 3 + -2).
5
What is the value of 0 - -3 - (15 - 18)?
6
What is the value of -9 + (-3 - -5 - -2)?
-5
What is the value of 3 - (3 + 0 - 1)?
1
Evaluate 7 + -5 + (-6 - -7) + -8.
-5
Evaluate -3 - 6 - (-6 + 0) - -6.
3
What is -15 + 0 - (-5 + 1) - -5?
-6
Calculate (8 - (4 + -2)) + -1.
5
Calculate 1 - (-1 - -2) - (1 + -1).
0
Evaluate -1 - 2 - (4 + -3 - 3).
-1
Evaluate (1 - -1) + -8 + 10 + -7.
-3
What is -1 - (1 - (7 - (4 - 4)))?
5
Evaluate (1 + -1 - (-56 + 51)) + 4.
9
What is -2 - (6 + -14) - (-2 - -1)?
7
Evaluate (-5 - -13 - 22) + 8.
-6
What is (2 - 0 - 12) + 8 + -3?
-5
What is 4 - (16 + 8 + -16)?
-4
Evaluate -4 + (2 - -1) + (2 - -2).
3
Evaluate (1 + 0 - 1) + -4.
-4
Evaluate 7 + -4 + 0 + 1.
4
Calculate 25 + -21 + 1 + 4.
9
Evaluate 1 + (11 - 7) + -10.
-5
Evaluate (1 - 0) + (-7 - (13 - 23)).
4
Calculate (-3 + 8 + -4 - -5) + -4.
2
What is the value of 9 + 8 + -22 + 7?
2
Calculate (80 - 91) + -1 + 16.
4
Calculate (2 - 8 - (-14 + 5)) + -12.
-9
(3 + -2 - 5) + 3 + 2
1
Calculate -6 + (-4 + 4 + 2 - -3).
-1
What is (-5 - -5) + 12 + -3 + -17?
-8
What is -11 - -7 - (0 + 1)?
-5
Evaluate -3 - (-10 - -7 - 2).
2
What is the value of -5 - (-11 - -5 - -3)?
-2
Evaluate 0 - (-4 - (0 + -1) - 1).
4
What is the value of -2 + 0 + 4 + -4?
-2
Calculate -1 - (-1 - (3 - 4)) - 0.
-1
What is 8 - (-4 + 9 + (2 - 7))?
8
(-1 - (-10 - 0)) + -17
-8
What is the value of -3
|
{
"pile_set_name": "DM Mathematics"
}
|
: -490/151 or -2?
-2
Is 390 less than or equal to 389?
False
Which is bigger: 1 or 3/910?
1
Which is bigger: -1 or -2/48821?
-2/48821
Are -485 and -496 non-equal?
True
Is -1 < 8/2053?
True
Which is smaller: 0.9 or -399?
-399
Which is greater: 31 or -0.4?
31
Which is smaller: -1 or 34/351?
-1
Which is smaller: 1/285 or 0.2?
1/285
Which is greater: -1 or -17/253?
-17/253
Is -47 less than -245?
False
Are 1/4 and 24/2171 equal?
False
Do -495 and -492 have the same value?
False
Which is greater: 1052 or -3?
1052
Is -1/618 less than or equal to -1?
False
Does 141/2 = 70?
False
Which is smaller: 195 or 581/3?
581/3
Do 8 and -2856 have different values?
True
Which is smaller: -0.3 or 3057?
-0.3
Is 19/721 greater than or equal to -1?
True
Which is smaller: -16 or -284/19?
-16
Does 2/131229 = 0?
False
Which is smaller: -757/7 or 0?
-757/7
Is 0 equal to -4/1699?
False
Is -71 > -1046/15?
False
Is -1 > -1/1450?
False
Which is smaller: 4779/4 or 1196?
4779/4
Is -9840 equal to -9844?
False
Is 2787 > 8362/3?
False
Which is bigger: -110 or -111?
-110
Which is smaller: 729 or 730?
729
Which is bigger: -2/15 or -0.683?
-2/15
Is 1/10 < -3/14?
False
Which is greater: -267 or -266?
-266
Is 79 != 159/2?
True
Is 832 greater than or equal to 830?
True
Is 823 > 824?
False
Does -7/262 = 1?
False
Which is bigger: 177 or 179?
179
Is -5 > -63?
True
Which is smaller: 1 or 37/73?
37/73
Which is smaller: 4212/23 or 184?
4212/23
Is 15/11 greater than 0?
True
Which is smaller: 0 or 1/60?
0
Which is greater: -889/3 or -296?
-296
Which is bigger: 2359 or -1?
2359
Which is greater: -26 or -132/19?
-132/19
Do -1 and 2/29407 have the same value?
False
Which is smaller: 170/11 or 0.3?
0.3
Does -8 = 73?
False
Are 1468 and 1471 unequal?
True
Which is smaller: 325 or 324?
324
Is 0 < -2/1139?
False
Is -19582 equal to -58744/3?
False
Is 0.1 bigger than -734?
True
Which is smaller: -6 or 1/3?
-6
Is 854 less than or equal to 851?
False
Which is smaller: 30 or 220/7?
30
Which is smaller: 0.014 or -17?
-17
Is -2220 less than or equal to -2220?
True
Which is greater: 7763 or 7765?
7765
Is 13404 bigger than 13405?
False
Is -181 at least -180?
False
Which is smaller: 0.1 or -343?
-343
Which is smaller: -8 or -142/17?
-142/17
Which is smaller: 4/119 or 1?
4/119
Are 1 and 9/37 nonequal?
True
Are -295 and -2070/7 unequal?
True
Is -1 > -56/37?
True
Which is smaller: 160 or 1/5?
1/5
Is -1167 >= -1182?
True
Are 211 and 205 non-equal?
True
Is -12 less than or equal to -26.7?
False
Which is smaller: 0.1 or 4/3805?
4/3805
Which is smaller: -0.44 or -2.2?
-2.2
Is -0.36 at most -12.8?
False
Is 163 at most as big as 162?
False
Which is bigger: -1694 or -1693?
-1693
Is -82 greater than -82?
False
Is -150 < -191?
False
Which is smaller: -1/3 or -6495?
-6495
Is 20 at least as big as -1/69?
True
Is 1 equal to 2/26165?
False
Does -2/79821 = -1?
False
Is -41 less than 35?
True
Which is greater: -0.2 or 53?
53
Which is greater: 2 or 7/10?
2
Is 0 less than or equal to 165?
True
Is -25/19 <= -2?
False
Which is greater: -5077 or 0?
0
Which is bigger: -1 or 82/121?
82/121
Is -19 less than or equal to 2?
True
Is 494 greater than or equal to 493?
True
Do 9964/7 and 1422 have different values?
True
Which is bigger: -5/273 or 0?
0
Is 365 greater than 363?
True
Is -12/551 > 1?
False
Which is bigger: 3/172 or 1?
1
Which is smaller: -29 or -10?
-29
Which is smaller: 12/53 or 3/2?
12/53
Which is bigger: -1248 or -6?
-6
Is -26 >= -1.2?
False
Which is smaller: 5256/7 or 2?
2
Is 1 at least -1/32128?
True
Is 14 greater than 10?
True
Is -9 > 0.027?
False
Which is greater: 0 or -33/1016?
0
Does -450 = 6?
False
Is 1 less than or equal to 14/23?
False
Is 15 equal to -205?
False
Is -3 bigger than 1.92?
False
Which is smaller: 1688 or 1686?
1686
Which is smaller: -678/11 or -62?
-62
Is -35/29 at least as big as -1?
False
Which is greater: 1/591 or 0?
1/591
Which is smaller: 2/813 or 0?
0
Are -14 and 26 unequal?
True
Is -0.3 at least -113?
True
Which is greater: 19 or -46?
19
Which is greater: 0 or 6/7465?
6/7465
Which is greater: 450 or 462?
462
Is -1 smaller than 2/535?
True
Which is greater: 1/324 or 1?
1
Is 697 less than -0.9?
False
Is -3761 at least as big as -3762?
True
Is 119 not equal to 119?
False
Is 259 equal to 259?
True
Which is bigger: 53 or 24?
53
Is -1/65 < 0?
True
Is 1/198 less than or equal to 1?
True
Is -5216 less than -5216?
False
Which is greater: 10 or -1156?
10
Is 1 less than -2/657?
False
Which is bigger: 2 or -69?
2
Is 5937 > -0.1?
True
Which is smaller: 45/19 or 1?
1
Is 1/13 less than 452?
True
Is 3 greater than or equal to -340?
True
Which is bigger: 7927 or 7929?
7929
Which is smaller: 4935 or 4933?
4933
Is 0.05 bigger than 101?
False
Does 3 = 9893?
False
Which is smaller: -4/13 or 0?
-4/13
Which is smaller: -5 or -12?
-12
Which is smaller: -977 or -974?
-977
Which is greater: -230 or -248?
-230
Do -1.69 and -0.1 have the same value?
False
Which is smaller: 3/232 or -1?
-1
Is -180/13 >= -14?
True
Is -0.009 greater than or equal to -6?
True
Which is bigger: -15/17 or 0?
0
Is -8/399 > -1?
True
Which is smaller: 1/4 or 5.1?
1/4
Which is greater: 1 or -1/722?
1
Is -1 != -6/2257?
True
Which is smaller: -2/5 or -1105?
-1105
Is 1 >= 11/439?
True
Which is smaller: -3/4 or -10/211?
-3/4
Which is smaller: -41 or -206/5?
-206/5
Are -150.5 and 1/2 equal?
False
Is -1 greater than or equal to 12/335?
False
Is -498 >= -1?
False
Is -0.023 less than 0.14?
True
Which is smaller: -256 or -54?
-256
Which is greater: 11 or -138?
11
Which is smaller: -25 or -36?
-36
Which is greater: -6/25 or -1?
-6/25
Which is bigger: -1/4 or -4/89?
-4/89
Which is bigger: -32 or -62?
-32
Which is smaller: 8/19749 or 1?
8/19749
Which is greater: 1/191 or 1?
1
Is 320 at most 3529/11?
True
Is 19/3 less than or equal to 5?
False
Do -36 and 0.43 have the same value?
False
Is -2 at least as big as 10070/9?
False
Are -1273 and -1275 unequal?
True
Which is smaller: 99 or 98?
98
Is -418/13 less than -32?
True
Is 129 at least 901/7?
True
Is 110 less than 108?
False
Is 336 at least 337?
False
Which is greater: -875 or -874?
-874
Which is bigger: 7 or 292/37?
292/37
Which is greater: 1 or -46/591?
1
Are -2/67 and 0.1 unequal?
True
Do -19043 and -19044 have the same value?
False
Which is bigger: -0.1312 or 2?
2
Is 1/4 >= -167?
True
Are 6 and 363/68 non-equal?
True
Is -1 less than or equal to 2/573?
True
Is 2322 bigger than 2323?
False
Is -408 at least as big as -408?
True
Which is smaller: 244/103 or 3?
244/103
Is 0 at most 2869?
True
Do 2/5 and 390 have the same value?
False
Is 5/289 less than or equal to 1?
True
Is 23 < 27?
True
Which is smaller: -1 or 14/87?
-1
Which is bigger: 84 or 169/2?
169/2
Is 11 not equal to 29?
True
Which is smaller: 2 or -10?
-10
Is 116 > 164?
False
Which is greater: -1818 or -1819?
-1818
Does -1 = 1/52?
False
Which is greater: 94/59 or 3?
3
Is 1/3 at least -48?
True
Is 939/62 != 15?
True
Is -8/8957 less than -1?
False
Are 9/76 and 1 nonequal?
True
Which is smaller: 78 or -23?
-23
Which is greater: -0.221 or 8?
8
Are 1 and 1.97 unequal?
True
Which is bigger: 0.083 or 1.5?
1.5
Is 20 smaller than 320/17?
False
Are -1 and 192 non-equal?
True
Is 3835 smaller than 3835?
False
Which is greater: -103 or -104?
-103
Which is greater: -70/27 or -2?
-2
Is 10/23 less than 0?
False
Is 1/49087 at most as big as -1?
False
Is 1/5 bigger than 4/15?
False
Is 936 < 938?
True
Which is bigger: -129 or -86?
-86
Is -58 bigger than -58?
False
Which is smaller: 149 or 1?
1
Which is greater: -1 or 2/67387?
2/67387
Is 22 greater than 2/3?
True
Which is smaller: 0 or 16/1319?
0
Is 3/26408 not equal to -1?
True
Which is smaller: -194 or -227?
-227
Is -1 bigger than 11.354?
False
Which is bigger: 8 or 61?
61
Are -546 and -548 nonequal?
True
Which is smaller: -12/29 or 5?
-12/29
Which is smaller: 7204/13 or 555?
7204/13
Which is greater: 124 or 146?
146
Is -2/3 smaller than -14953?
False
Is -1 <= 48/227?
True
Which is greater: 11202 or 11198?
11202
Which is greater: -151 or 2/5?
2/5
Is 8 less than 90/11?
True
Do -738 and -778 have different values?
True
Which is greater: -58.9 or 4/7?
4/7
Is -2673 less than or equal to -2673?
True
Is 0.2 < -78?
False
Is 6 equal to 206?
False
Which is greater: -69 or -67?
-67
Does -1 = -12/775?
False
Which is smaller: -60 or
|
{
"pile_set_name": "DM Mathematics"
}
|
est integer?
2716
What is the square root of 13744828 to the nearest integer?
3707
What is 394577 to the power of 1/6, to the nearest integer?
9
What is the square root of 7184919 to the nearest integer?
2680
What is the third root of 3432946 to the nearest integer?
151
What is the cube root of 3999913 to the nearest integer?
159
What is 821714 to the power of 1/9, to the nearest integer?
5
What is 8545396 to the power of 1/2, to the nearest integer?
2923
What is the square root of 4753022 to the nearest integer?
2180
What is 880214 to the power of 1/8, to the nearest integer?
6
What is the third root of 2557935 to the nearest integer?
137
What is 1206352 to the power of 1/3, to the nearest integer?
106
What is the cube root of 15656076 to the nearest integer?
250
What is 216761 to the power of 1/3, to the nearest integer?
60
What is the third root of 425327 to the nearest integer?
75
What is 248616 to the power of 1/2, to the nearest integer?
499
What is 8270053 to the power of 1/2, to the nearest integer?
2876
What is 15324929 to the power of 1/5, to the nearest integer?
27
What is 411156 to the power of 1/3, to the nearest integer?
74
What is the seventh root of 22925114 to the nearest integer?
11
What is the square root of 2118506 to the nearest integer?
1456
What is the square root of 3439651 to the nearest integer?
1855
What is 206692 to the power of 1/9, to the nearest integer?
4
What is 249897 to the power of 1/3, to the nearest integer?
63
What is 1405216 to the power of 1/8, to the nearest integer?
6
What is 6648 to the power of 1/6, to the nearest integer?
4
What is the cube root of 547456 to the nearest integer?
82
What is 1902709 to the power of 1/2, to the nearest integer?
1379
What is 84432 to the power of 1/8, to the nearest integer?
4
What is 11346566 to the power of 1/2, to the nearest integer?
3368
What is the third root of 1558564 to the nearest integer?
116
What is 5908527 to the power of 1/3, to the nearest integer?
181
What is 10461001 to the power of 1/3, to the nearest integer?
219
What is 592706 to the power of 1/10, to the nearest integer?
4
What is 646907 to the power of 1/4, to the nearest integer?
28
What is 6768532 to the power of 1/6, to the nearest integer?
14
What is 1787646 to the power of 1/4, to the nearest integer?
37
What is 712383 to the power of 1/8, to the nearest integer?
5
What is the cube root of 13578419 to the nearest integer?
239
What is the square root of 3030839 to the nearest integer?
1741
What is 8451182 to the power of 1/10, to the nearest integer?
5
What is 1032434 to the power of 1/2, to the nearest integer?
1016
What is the square root of 75989 to the nearest integer?
276
What is the fifth root of 8471524 to the nearest integer?
24
What is the third root of 306905 to the nearest integer?
67
What is the fifth root of 309716 to the nearest integer?
13
What is the square root of 8657250 to the nearest integer?
2942
What is the ninth root of 823889 to the nearest integer?
5
What is the square root of 21321752 to the nearest integer?
4618
What is the square root of 358075 to the nearest integer?
598
What is 4746908 to the power of 1/8, to the nearest integer?
7
What is 202750 to the power of 1/8, to the nearest integer?
5
What is the square root of 197778 to the nearest integer?
445
What is the cube root of 1869527 to the nearest integer?
123
What is the third root of 26899968 to the nearest integer?
300
What is 2238363 to the power of 1/2, to the nearest integer?
1496
What is the cube root of 852221 to the nearest integer?
95
What is 529171 to the power of 1/5, to the nearest integer?
14
What is the fifth root of 83754 to the nearest integer?
10
What is 1682799 to the power of 1/6, to the nearest integer?
11
What is the square root of 17927622 to the nearest integer?
4234
What is 3377455 to the power of 1/7, to the nearest integer?
9
What is 2904642 to the power of 1/10, to the nearest integer?
4
What is the third root of 5958719 to the nearest integer?
181
What is the square root of 944626 to the nearest integer?
972
What is 146182 to the power of 1/2, to the nearest integer?
382
What is 3291577 to the power of 1/2, to the nearest integer?
1814
What is the third root of 140959 to the nearest integer?
52
What is 51083 to the power of 1/3, to the nearest integer?
37
What is the square root of 736473 to the nearest integer?
858
What is the seventh root of 328045 to the nearest integer?
6
What is the ninth root of 16074128 to the nearest integer?
6
What is 269903 to the power of 1/7, to the nearest integer?
6
What is the cube root of 11988 to the nearest integer?
23
What is the square root of 1497625 to the nearest integer?
1224
What is the cube root of 108245 to the nearest integer?
48
What is the square root of 1871092 to the nearest integer?
1368
What is 7776270 to the power of 1/2, to the nearest integer?
2789
What is the third root of 1429189 to the nearest integer?
113
What is the sixth root of 199177 to the nearest integer?
8
What is 603480 to the power of 1/3, to the nearest integer?
85
What is 112987 to the power of 1/2, to the nearest integer?
336
What is the cube root of 1279256 to the nearest integer?
109
What is 442500 to the power of 1/3, to the nearest integer?
76
What is 9405324 to the power of 1/4, to the nearest integer?
55
What is the sixth root of 1422560 to the nearest integer?
11
What is the cube root of 5512516 to the nearest integer?
177
What is 546810 to the power of 1/7, to the nearest integer?
7
What is the eighth root of 847540 to the nearest integer?
6
What is the cube root of 28533 to the nearest integer?
31
What is 16287278 to the power of 1/2, to the nearest integer?
4036
What is the cube root of 63818 to the nearest integer?
40
What is 15028318 to the power of 1/7, to the nearest integer?
11
What is 16918863 to the power of 1/6, to the nearest integer?
16
What is the cube root of 617779 to the nearest integer?
85
What is 104829 to the power of 1/7, to the nearest integer?
5
What is 142454 to the power of 1/3, to the nearest integer?
52
What is 24273754 to the power of 1/2, to the nearest integer?
4927
What is 577441 to the power of 1/3, to the nearest integer?
83
What is 93218 to the power of 1/2, to the nearest integer?
305
What is the eighth root of 1757976 to the nearest integer?
6
What is 11029481 to the power of 1/8, to the nearest integer?
8
What is the seventh root of 317528 to the nearest integer?
6
What is 408360 to the power of 1/5, to the nearest integer?
13
What is 171987 to the power of 1/2, to the nearest integer?
415
What is 3762291 to the power of 1/8, to the nearest integer?
7
What is the third root of 1910547 to the nearest integer?
124
What is the third root of 28830303 to the nearest integer?
307
What is the fourth root of 1062481 to the nearest integer?
32
What is 3413796 to the power of 1/3, to the nearest integer?
151
What is 228605 to the power of 1/2, to the nearest integer?
478
What is 10857378 to the power of 1/3, to the nearest integer?
221
What is the cube root of 178241 to the nearest integer?
56
What is the third root of 68167 to the nearest integer?
41
What is the square root of 3230552 to the nearest integer?
1797
What is the square root of 5337098 to the nearest integer?
2310
What is 2039192 to the power of 1/9, to the nearest integer?
5
What is 6546752 to the power of 1/3, to the nearest integer?
187
What is the seventh root of 4507116 to the nearest integer?
9
What is the sixth root of 137144 to the nearest integer?
7
What is 1895528 to the power of 1/5, to the nearest integer?
18
What is the third root of 4503535 to the nearest integer?
165
What is the square root of 849519 to the nearest integer?
922
What is 316550 to the power of 1/2, to the nearest integer?
563
What is 7376970 to the power of 1/3, to the nearest integer?
195
What is the square root of 21684633 to the nearest integer?
4657
What is the cube root of 202126 to the nearest integer?
59
What is the third root of 1463429 to the nearest integer?
114
What is the third root of 419434 to the nearest integer?
75
What is the sixth root of 353742 to the nearest integer?
8
What is the eighth root of 3138909 to the nearest integer?
6
What is 14012032 to the power of 1/
|
{
"pile_set_name": "DM Mathematics"
}
|
What is the units digit of 4600008544?
4
What is the hundred thousands digit of 207672983?
6
What is the ten thousands digit of 47593148?
9
What is the ten thousands digit of 59155078?
5
What is the ten millions digit of 109802509?
0
What is the hundred millions digit of 2101713913?
1
What is the tens digit of 19264999?
9
What is the ten thousands digit of 3187227886?
2
What is the ten thousands digit of 46366078?
6
What is the units digit of 2006576528?
8
What is the billions digit of 2765262072?
2
What is the tens digit of 368612886?
8
What is the hundreds digit of 1788795585?
5
What is the units digit of 7043550?
0
What is the ten thousands digit of 74088480?
8
What is the hundred thousands digit of 131571199?
5
What is the hundreds digit of 3397775213?
2
What is the ten millions digit of 3873364841?
7
What is the thousands digit of 156308968?
8
What is the hundred thousands digit of 21426719?
4
What is the ten millions digit of 337186717?
3
What is the hundred millions digit of 204632334?
2
What is the ten thousands digit of 28713705?
1
What is the hundred millions digit of 419590675?
4
What is the hundred millions digit of 1539107610?
5
What is the thousands digit of 105948293?
8
What is the thousands digit of 122152126?
2
What is the ten thousands digit of 88084014?
8
What is the thousands digit of 2671911214?
1
What is the thousands digit of 41274358?
4
What is the thousands digit of 6601484?
1
What is the thousands digit of 35221972?
1
What is the thousands digit of 1213668155?
8
What is the hundred thousands digit of 162606495?
6
What is the hundred thousands digit of 71450103?
4
What is the millions digit of 162071935?
2
What is the hundred thousands digit of 203207058?
2
What is the ten thousands digit of 62010506?
1
What is the units digit of 3601888483?
3
What is the hundred millions digit of 2014705719?
0
What is the ten thousands digit of 100744451?
4
What is the ten thousands digit of 27849909?
4
What is the ten thousands digit of 38199100?
9
What is the units digit of 117978230?
0
What is the millions digit of 32944278?
2
What is the hundreds digit of 50474842?
8
What is the units digit of 462780294?
4
What is the units digit of 302606263?
3
What is the units digit of 957419859?
9
What is the thousands digit of 60853684?
3
What is the thousands digit of 16759410?
9
What is the hundreds digit of 1054673282?
2
What is the units digit of 119028376?
6
What is the units digit of 144631943?
3
What is the tens digit of 7862330463?
6
What is the hundred thousands digit of 5614966231?
9
What is the hundred millions digit of 501682750?
5
What is the ten thousands digit of 15975045?
7
What is the tens digit of 50453289?
8
What is the hundred millions digit of 298842202?
2
What is the ten millions digit of 175537023?
7
What is the hundred millions digit of 339296202?
3
What is the hundred thousands digit of 27161154?
1
What is the units digit of 18791079?
9
What is the thousands digit of 544647227?
7
What is the thousands digit of 283188035?
8
What is the hundred millions digit of 178976710?
1
What is the thousands digit of 62179993?
9
What is the ten millions digit of 209100487?
0
What is the ten millions digit of 48519196?
4
What is the tens digit of 206153111?
1
What is the millions digit of 839926009?
9
What is the millions digit of 150689976?
0
What is the hundreds digit of 6635761586?
5
What is the tens digit of 63941461?
6
What is the units digit of 1399214842?
2
What is the hundred millions digit of 588860634?
5
What is the hundred millions digit of 134297632?
1
What is the ten millions digit of 1040450127?
4
What is the millions digit of 330989247?
0
What is the millions digit of 37958223?
7
What is the thousands digit of 799395167?
5
What is the hundred thousands digit of 195864017?
8
What is the tens digit of 145122732?
3
What is the hundreds digit of 714261247?
2
What is the hundreds digit of 5466745082?
0
What is the hundreds digit of 3727626200?
2
What is the ten millions digit of 315544125?
1
What is the ten millions digit of 15109074?
1
What is the hundred thousands digit of 200025244?
0
What is the hundred millions digit of 582742313?
5
What is the units digit of 266577479?
9
What is the hundred thousands digit of 253301978?
3
What is the ten millions digit of 618475781?
1
What is the hundred thousands digit of 53365189?
3
What is the thousands digit of 494338383?
8
What is the tens digit of 160798771?
7
What is the units digit of 3587985589?
9
What is the hundreds digit of 283344661?
6
What is the ten thousands digit of 4089704?
8
What is the ten millions digit of 839152746?
3
What is the units digit of 4079995?
5
What is the millions digit of 381963518?
1
What is the hundred millions digit of 991559250?
9
What is the ten thousands digit of 1086373361?
7
What is the ten thousands digit of 21299952?
9
What is the hundred thousands digit of 79581830?
5
What is the hundred thousands digit of 114097072?
0
What is the units digit of 2041678862?
2
What is the tens digit of 2971083160?
6
What is the ten millions digit of 239343307?
3
What is the thousands digit of 17588932?
8
What is the ten thousands digit of 51023343?
2
What is the hundred millions digit of 4920476472?
9
What is the hundred thousands digit of 25217394?
2
What is the thousands digit of 21251092?
1
What is the ten thousands digit of 186064321?
6
What is the ten millions digit of 48576256?
4
What is the thousands digit of 38051862?
1
What is the thousands digit of 551004709?
4
What is the hundred thousands digit of 4571339?
5
What is the hundred thousands digit of 37983476?
9
What is the hundred millions digit of 3386643563?
3
What is the thousands digit of 473449424?
9
What is the thousands digit of 5430838932?
8
What is the billions digit of 1680449761?
1
What is the thousands digit of 21091000?
1
What is the ten thousands digit of 81828257?
2
What is the ten thousands digit of 1273388234?
8
What is the units digit of 9440124?
4
What is the ten millions digit of 59135972?
5
What is the tens digit of 264918227?
2
What is the hundreds digit of 2500546072?
0
What is the hundreds digit of 6141816504?
5
What is the tens digit of 76544597?
9
What is the ten millions digit of 7674593636?
7
What is the millions digit of 132745781?
2
What is the hundred thousands digit of 3060995169?
9
What is the thousands digit of 26662755?
2
What is the ten thousands digit of 119438241?
3
What is the units digit of 138146902?
2
What is the ten millions digit of 369232733?
6
What is the millions digit of 56266140?
6
What is the millions digit of 585643648?
5
What is the ten millions digit of 78318353?
7
What is the ten millions digit of 1876080528?
7
What is the ten millions digit of 717527285?
1
What is the units digit of 56734388?
8
What is the millions digit of 2651859582?
1
What is the tens digit of 36011817?
1
What is the units digit of 3160857214?
4
What is the hundreds digit of 45087624?
6
What is the hundreds digit of 605021672?
6
What is the billions digit of 2945774229?
2
What is the hundreds digit of 925300284?
2
What is the hundred thousands digit of 12733430?
7
What is the ten thousands digit of 305444840?
4
What is the hundreds digit of 120551835?
8
What is the units digit of 53690562?
2
What is the millions digit of 627135816?
7
What is the thousands digit of 628338153?
8
What is the units digit of 363554005?
5
What is the ten millions digit of 407558139?
0
What is the units digit of 146819603?
3
What is the thousands digit of 272024?
2
What is the units digit of 38594330?
0
What is the hundred millions digit of 345798342?
3
What is the millions digit of 228454767?
8
What is the ten millions digit of 643324375?
4
What is the tens digit of 317927248?
4
What is the tens digit of 248931226?
2
What is the thousands digit of 5971795?
1
What is the hundreds digit of 170674510?
5
What is the tens digit of 81667338?
3
What is the thousands digit of 238347029?
7
What is the ten thousands digit of 99976866?
7
What is the hundred thousands digit of 69445666?
4
What is the millions digit of 41709657?
1
What is the ten thousands digit of 66059202?
5
What is the units digit of 76754245?
5
What is the tens digit of 248144927?
2
What is the ten millions digit of 88831750?
8
What
|
{
"pile_set_name": "DM Mathematics"
}
|
v**2 + c*v**4 + m*v + t + h*v**3 and give m.
-1
Express s**3 + 3 - 10*s**3 + 4*s**2 + 3*s**2 - s**2 + 8*s**3 as m*s + c + k*s**2 + u*s**3 and give u.
-1
Express 2 - 70088*d**2 + 1 + 70136*d**2 as t*d + j*d**2 + p and give p.
3
Express (405 + 4049 - 1178)*(3*r - 5*r + r + 4*r - 2*r - 4*r + (2 + 0 - 1)*(3*r + 2*r - 7*r) + r - 2*r + 0*r) as t*r + h and give t.
-19656
Express -68*b + 11 - 14 + 87*b - 2*b**3 as w*b + s + x*b**3 + p*b**2 and give s.
-3
Express (-19*d**4 + 7*d**3 - 7*d**3)*(2 - 11 - 30) as t*d**3 + c*d + p + a*d**2 + u*d**4 and give u.
741
Rearrange (-a**3 - 3*a**3 - 2*a**3)*(4 - 2 + 0)*((1 - 3 + 1)*(-11 - 1 + 2) - 3 + 2 - 2) to h*a**3 + u*a**2 + n + g*a and give h.
-84
Rearrange (525 + 276 - 161)*(x - 2 + 2) to the form d*x + a and give d.
640
Rearrange 18 - 3*u - 393*u**2 - 87*u**2 - 18 to z + y*u + s*u**2 and give s.
-480
Rearrange (7*y**2 + 16*y**2 - 7*y**2)*(6 - 6 + 4*y) - y**3 + 2*y**3 - 2*y**3 to b*y + j*y**3 + k + w*y**2 and give j.
63
Express 5*g - 7 - 6 + 17 + 42*g**2 - g - 3 as l*g + x*g**2 + h and give l.
4
Rearrange -37*c**2 - 1 - 40*c**2 + 2*c + 254*c**3 + 77*c**2 to the form f*c**2 + j*c + r + d*c**3 and give j.
2
Express 1594 - 27*c + 1598 - 3193 in the form b + i*c and give i.
-27
Express (3*k - 5*k - 2*k + 1)*(-6 + 10 - 2*k + 5)*(-5 + 4 - 2) in the form c + r*k + l*k**2 and give c.
-27
Rearrange (-2*l + 0*l + l)*(-3 - l**2 + 3) + 3*l**3 + 0*l**3 + 3*l**3 + (0*l - l + 2*l)*(111*l**2 + 404*l - 404*l) to a + c*l + k*l**3 + w*l**2 and give k.
118
Rearrange 123*r + 6*r**4 - 135*r + 50 - 2*r**2 - 48 to j*r**3 + t + m*r + d*r**4 + c*r**2 and give c.
-2
Express 2*d**3 - 16*d + 16*d + 6 + 0*d**3 + 17*d in the form r*d**2 + j + b*d + m*d**3 and give b.
17
Express (-165*c + 165*c - 624*c**2)*(0*c + 2*c - c) as t + h*c**2 + f*c + m*c**3 and give m.
-624
Rearrange 3*a**2 + 16 + 0*a**2 - 34 - 10*a + 24 + 5*a**2 to the form u*a**2 + z*a + x and give x.
6
Express -s**2 - 4 + 5 + 13*s**2 + 6*s + 14*s**4 - 14*s**2 as j*s**4 + l*s**3 + w*s + b*s**2 + n and give w.
6
Rearrange (-2*i + 0*i + 5*i)*(133 - 47 + 153) to f*i + z and give f.
717
Express 3*z**2 + 0*z + 0*z - 26331 + 26280 in the form p*z**2 + k + s*z and give k.
-51
Rearrange -9*a**2 + 5*a**2 + 6*a**2 + 50 + 144 to the form y + s*a + f*a**2 and give y.
194
Express (-1 + 3*o**2 + 1)*(92 - 6*o + 5*o - 337) as y + v*o + c*o**2 + j*o**3 and give j.
-3
Rearrange (-2*i + 4*i + 1 + 0*i)*(-5 + 1 + 2)*(-4*i + i + 0*i) + (698 - 698 - 177*i)*(-4 + 4 + i) to n + k*i + u*i**2 and give u.
-165
Express (0 + 1 - 7)*(3*b + 0 + 0) - 112 - 43*b + 112 in the form c + z*b and give z.
-61
Rearrange 469*y**2 - 3*y - 934*y**2 - 4*y - 2*y + 467*y**2 to r*y**2 + q*y + j and give q.
-9
Express 6*d**2 + 5*d**2 - 16*d**2 + (-3*d + 2 - 2)*(-5*d + 16*d + 16*d) in the form r*d**2 + s + q*d and give r.
-86
Rearrange (2 + 0 - 1)*(67418*j - 67421*j + 256*j**2 - 751*j**2 + 1) to f*j + b + m*j**2 and give m.
-495
Rearrange 190*n**4 + 3*n**2 - 4*n**2 - 192*n**4 - 2*n - 3*n**3 + 2 - n**3 to f + s*n**3 + l*n**2 + k*n**4 + w*n and give k.
-2
Rearrange 30*i + 34*i + 18 - 66*i + 48 to the form y*i + w and give w.
66
Rearrange 24756*z**2 - 14*z - 24756*z**2 - 17*z - 6*z**3 to the form x*z**3 + i + j*z + p*z**2 and give j.
-31
Rearrange (76*f - 148*f + 74*f + 27)*(3*f - f**2 - 3*f)*(f - f + 2*f + (-1 + 1 + 2)*(f + f - f)) to k + a*f**2 + r*f + b*f**4 + c*f**3 and give b.
-8
Rearrange (0 - 2 + 1)*(-2*l**4 - l**3 + l**3) - 12228*l + 158*l**4 + 12228*l to the form t*l**2 + i + s*l + y*l**3 + d*l**4 and give d.
160
Express -93*j**2 - 50*j - 53*j - 44*j + 147*j as d*j**2 + s + k*j and give s.
0
Rearrange -94*x**4 + 2*x**3 + 117*x**4 - x**3 - 2*x**3 + 2*x**2 + 2 to s*x + o*x**2 + z*x**4 + m + t*x**3 and give z.
23
Rearrange 8*s**4 - 9*s**4 - 15*s**2 + 2*s + 47*s**3 - 46*s**3 to h*s + w*s**4 + p + j*s**2 + r*s**3 and give h.
2
Rearrange 5*o**2 + 1 - 5506*o**3 - 4 + 2 + 5509*o**3 - 2 to the form g*o + w*o**3 + v + n*o**2 and give g.
0
Rearrange -203 - 608*a + 616 - 204 - 209 to the form k + h*a and give h.
-608
Express (8 - 8 - p)*(-371 + 185 + 220) in the form y + t*p and give t.
-34
Express -420*g**4 + 2*g**3 + 417*g**4 + 0*g**3 + 32*g in the form d*g + v + b*g**3 + n*g**4 + m*g**2 and give v.
0
Express 78442 + 76*w - 78442 as l*w + y and give y.
0
Express -99 - 28*h + 195 - 99 as o*h + d and give o.
-28
Express (-4*f - f**2 + f + 10 - 8)*((-3*f + 2*f - f)*(3 - 2 + 0) + 0*f - 5*f + 3*f) + 2*f**3 + f**3 - f**3 as n + a*f**2 + t*f**3 + d*f and give d.
-8
Rearrange 149*s - 2 - 117*s + 89*s + 73*s + 110*s to n + g*s and give g.
304
Rearrange (0*t**3 + 2*t**3 - t**3)*(1215 + 60 + 907 + 2475 - 885) to n*t + z*t**2 + a*t**3 + f and give a.
3772
Express 5 + 11*y - 2*y**2 + 3*y**2 - 31*y + y**2 - 3*y**2 as p*y**2 + m + b*y and give m.
5
Express 82*n - 153*n + 68*n + 53*n**2 as o*n + k + m*n**2 and give o.
-3
Rearrange 2*g + 2 - 11*g**2 + 2*g**2 - 3*g + g**3 + 8*g**2 + 7*g**4 to w*g**4 + s*g + h + c*g**2 + y*g**3 and give w.
7
Rearrange (1281*i + 2372 - 2372)*(2 + 4 - 2) to h*i + y and give y.
0
Express (-64*k + 140*k - 71*k + (1 - 3 + 3)*(5*k + 0*k - 3*k))*(-4*k + 7*k + 0*k) + (2*k - 3 + 3)*(0*k + k + k) as p*k**2 + f*k + g and give p.
25
Rearrange (q**2 - 2 + 2)*(q - 5*q - 5*q) - 14*q**2 + 14*q**2 - 4*q**3 to w*q + a*q**2 + o + b*q**3 and give b.
-13
Rearrange 8*h - 2*h - 2 + 17*h to o + m*h and give m.
23
Rearrange 3 - 3 + 2*d**2 + (69 - 10 + 57)*(0*d**2 - d**2 + 0*d**2) to the form a*d**2 + v*d + j and give j.
0
Rearrange -14*l**2 - 177*l - 43*l - 3*l**3 + 13*l**2 + l**3 to the form t*l**2 + j*l**3 + s*l + c and give t.
-1
Express (-g - 4*g + 3*g)*(-32*g - 7*g - 4*g - 2*g + 0*g + 0*g + (-2 - 1 + 1)*(4*g + 3*g - 5*g) - g + g - 2*g) as j + b*g**2 + h*g and give b.
102
Rearrange -d**3 - 7*d**3 + 6*d**3 + (-12*d**2 + 8*d**2 + 84*d**2)*(-2 - d + 2) to the form h*d**2 + w + y*d**3 + k*d and give y.
-82
Rearrange 47*n + n**3 - 25*n + n**2 - 18*n to the form v*n**2 + o*n + r*n**3 + q and give v.
1
Express (-2*d + 5*d - 2*d)*(-2*d**2 + d - d) + 207 - 207 - 8*d**3 + (2*d + d - 4*d)*(0*d**2 + 2*d**2 - d**2) in the form u + y*d**3 + p*d + r*d**2 and give y.
-11
Express (-3*j**2 + 3*j**2 - 2*j**2)*((3 - 2 - 2)*(4*j + j - 3*j) + 56*j + 78*j + 193*j) as p*j + f*j**3 + m*j**2 + c and give p.
0
Express 40*u - 83*u + 40*u + 10 as s*u + p and give s.
-3
Express -4*h**3 - 5*h**2 + 5*h**2 + ((1 - 3 + 4)*(-h + 2*h + 0*h) + 41*h - 51*h + 116*h)*(4 - 4 - 2*h**2) as q + g*h**2 + x*h**3 + r*h and give x.
-220
Express (-1 - 2 + 1)*(-148 + 148 - 20*d) - 261 + 261 + 2*d as p + w*d and give w.
42
Rearrange (0 + 2 - 1 + (2 - 2 + 5)*(-1 - 4 + 6))*(4*q + 7*q**2 + 4*q**2 - 12*q**2) to the form o*q**2 + l*q + m and give o.
-6
Express (624*h - 317*h - 319*h - 40)*(-3*h + 0*h - 2*h) as l + u*h + y*h**2 and give y.
60
Express 161472*x**2 + 31*x - 2*x**3 - 1 - 161472*x**2 as y*x**3 + i*x + s*x**2 + p and give i.
31
Rearrange -10*a + 1 - 4*a - 2*a**4 - 7*a**2 + 20*a**3 + 11*a + 7*a**2 to the form o*a**3 + h*a**4 + q*a + s*a**2 + m and give m.
1
Express (2*x + 2*x - 6*x + 0 + 0 - 3*x + (7 - 3 - 3)*(2*x + 0*x + 0*x) + 5*x + x - 4*x)*(0 - 4 + 0)*(-766 + 766 + 17*x) in the form l + c*x**2 + j*x and give c.
68
Rearrange -220875*w + 6*w**2 + 34 + 220875*w to d*w + j*w**2 + g and give g.
34
Rearrange (p**2 + 0*p**2 + 0*p**2)*(5 - 32 - 37) + 2 - 2 - p**2 to the form y + c*p + t*p**2 and give t.
-65
Rearrange 9*q - 33*q + 9*q - 9*q**3 + 5*q - 2*q**2 - q**2 to the form w + f*q**3 + d*q + y*q**2 and give d.
-10
Rearrange -7*u**2 + 4*u + u**3 - 5*u - u + 3*u - 3*u**4 to h*u + y*u**3 + i*u**4 + c*u**2 + g and give c.
-7
Express (18 - 7 - 4*t - 4)*(-13 + 29*t**3 + 13) as a*t**4 + v*t**2 + d + g*t + b*t**3 and give d.
0
Express (3*f + 2*f + f)*((1 + 2 - 1)*(-2 + 1 + 3) - 9 - 29 - 31)*(-1 + 4 - 1) as w*f + k and give w.
-780
Rearrange -268*m**3 + 133*m**3 + 136*m**3 - 2033*m**2 to the form r*m**2 + l*m + i + f*m**3 and give r.
-2033
Rearrange 3*m**3 + 135 - 280 + 145 + 7*m to the form q*m + o*m**2 + l + d*m**3 and give q.
7
Rearrange (5 - 3 + 4)*(3 - 3 + 2)*(48 - 29*f - 48) to k + t*f and give t.
-348
Rearrange -13 + 13 + 8 - 3 + 5*p**2 to r*p**2 + g + d*p and give r.
5
Rearrange (1 - 3 + 1)*(-154 - 95 + 208)*(-16 + 16 - 4*r**2) to the form w + t*r + p*r**2 and give p.
-164
Express
|
{
"pile_set_name": "DM Mathematics"
}
|
are there between 9:27 AM and 5:51 PM?
504
What is 373 minutes after 11:42 PM?
5:55 AM
How many minutes are there between 9:08 PM and 7:18 AM?
610
What is 599 minutes before 2:52 PM?
4:53 AM
What is 10 minutes after 8:18 PM?
8:28 PM
What is 9 minutes before 12:01 AM?
11:52 PM
What is 115 minutes before 9:08 AM?
7:13 AM
What is 170 minutes before 5:22 PM?
2:32 PM
What is 300 minutes before 3:03 PM?
10:03 AM
What is 265 minutes after 1:45 PM?
6:10 PM
What is 589 minutes after 2:46 PM?
12:35 AM
What is 485 minutes after 3:37 AM?
11:42 AM
How many minutes are there between 8:00 AM and 2:12 PM?
372
What is 710 minutes after 1:13 AM?
1:03 PM
What is 60 minutes before 1:14 AM?
12:14 AM
What is 209 minutes before 5:46 AM?
2:17 AM
What is 524 minutes before 1:38 AM?
4:54 PM
How many minutes are there between 11:56 PM and 11:25 AM?
689
How many minutes are there between 4:22 AM and 2:19 PM?
597
How many minutes are there between 4:09 PM and 7:38 PM?
209
How many minutes are there between 11:51 PM and 8:50 AM?
539
What is 655 minutes after 3:01 AM?
1:56 PM
What is 446 minutes before 7:31 PM?
12:05 PM
How many minutes are there between 5:54 AM and 2:38 PM?
524
How many minutes are there between 10:05 PM and 10:47 PM?
42
How many minutes are there between 1:15 AM and 10:10 AM?
535
What is 355 minutes before 9:34 PM?
3:39 PM
How many minutes are there between 2:41 AM and 12:19 PM?
578
How many minutes are there between 5:56 PM and 10:10 PM?
254
How many minutes are there between 1:44 PM and 4:31 PM?
167
What is 628 minutes before 2:37 AM?
4:09 PM
How many minutes are there between 10:55 AM and 2:50 PM?
235
How many minutes are there between 8:09 PM and 3:32 AM?
443
What is 246 minutes after 12:42 PM?
4:48 PM
How many minutes are there between 10:19 AM and 8:06 PM?
587
How many minutes are there between 3:25 PM and 11:03 PM?
458
How many minutes are there between 12:31 PM and 8:47 PM?
496
How many minutes are there between 7:39 AM and 6:39 PM?
660
What is 49 minutes after 10:57 PM?
11:46 PM
What is 371 minutes before 12:10 PM?
5:59 AM
How many minutes are there between 1:12 AM and 11:07 AM?
595
What is 454 minutes after 4:29 AM?
12:03 PM
How many minutes are there between 6:07 PM and 11:22 PM?
315
How many minutes are there between 9:22 PM and 4:07 AM?
405
What is 401 minutes after 8:49 PM?
3:30 AM
How many minutes are there between 4:14 AM and 9:27 AM?
313
What is 59 minutes before 5:00 AM?
4:01 AM
What is 680 minutes after 1:15 AM?
12:35 PM
What is 40 minutes before 12:34 AM?
11:54 PM
What is 36 minutes before 10:20 AM?
9:44 AM
How many minutes are there between 11:16 AM and 9:57 PM?
641
How many minutes are there between 8:57 AM and 1:03 PM?
246
How many minutes are there between 12:46 PM and 6:31 PM?
345
How many minutes are there between 12:32 PM and 12:02 AM?
690
How many minutes are there between 3:24 AM and 10:48 AM?
444
What is 570 minutes after 2:39 AM?
12:09 PM
What is 77 minutes before 8:08 AM?
6:51 AM
What is 560 minutes before 3:33 PM?
6:13 AM
How many minutes are there between 10:57 PM and 2:55 AM?
238
How many minutes are there between 4:37 AM and 10:53 AM?
376
How many minutes are there between 3:37 AM and 12:27 PM?
530
What is 625 minutes before 2:35 PM?
4:10 AM
How many minutes are there between 10:06 PM and 6:34 AM?
508
How many minutes are there between 2:11 PM and 2:46 PM?
35
What is 255 minutes after 11:07 AM?
3:22 PM
How many minutes are there between 10:32 PM and 3:27 AM?
295
What is 492 minutes before 2:16 PM?
6:04 AM
How many minutes are there between 5:56 AM and 3:48 PM?
592
What is 154 minutes before 12:18 PM?
9:44 AM
What is 217 minutes after 3:28 PM?
7:05 PM
How many minutes are there between 5:05 PM and 9:25 PM?
260
How many minutes are there between 10:16 AM and 9:17 PM?
661
How many minutes are there between 11:09 PM and 1:19 AM?
130
What is 172 minutes after 12:10 AM?
3:02 AM
What is 385 minutes before 8:08 PM?
1:43 PM
What is 439 minutes before 9:00 PM?
1:41 PM
How many minutes are there between 2:24 PM and 1:52 AM?
688
How many minutes are there between 10:56 PM and 12:43 AM?
107
How many minutes are there between 1:40 AM and 1:01 PM?
681
How many minutes are there between 7:33 AM and 10:24 AM?
171
How many minutes are there between 12:49 AM and 12:38 PM?
709
How many minutes are there between 3:46 AM and 3:13 PM?
687
How many minutes are there between 7:26 PM and 12:35 AM?
309
How many minutes are there between 2:29 PM and 11:48 PM?
559
How many minutes are there between 4:52 PM and 11:38 PM?
406
How many minutes are there between 4:46 AM and 4:33 PM?
707
What is 459 minutes before 4:56 AM?
9:17 PM
What is 573 minutes before 7:00 AM?
9:27 PM
How many minutes are there between 5:12 PM and 2:48 AM?
576
How many minutes are there between 8:29 PM and 12:43 AM?
254
What is 703 minutes after 7:54 PM?
7:37 AM
How many minutes are there between 2:16 AM and 3:08 AM?
52
What is 51 minutes before 12:27 AM?
11:36 PM
How many minutes are there between 1:59 PM and 2:43 PM?
44
What is 428 minutes after 12:36 AM?
7:44 AM
What is 496 minutes before 11:51 PM?
3:35 PM
How many minutes are there between 10:45 PM and 1:50 AM?
185
How many minutes are there between 2:39 AM and 8:38 AM?
359
How many minutes are there between 10:16 PM and 10:03 AM?
707
How many minutes are there between 12:56 AM and 3:47 AM?
171
How many minutes are there between 4:23 PM and 6:42 PM?
139
How many minutes are there between 10:26 PM and 7:50 AM?
564
What is 641 minutes before 3:09 PM?
4:28 AM
What is 514 minutes before 11:34 PM?
3:00 PM
What is 667 minutes before 2:48 PM?
3:41 AM
How many minutes are there between 2:11 PM and 12:07 AM?
596
How many minutes are there between 5:40 AM and 7:59 AM?
139
What is 680 minutes after 7:23 AM?
6:43 PM
How many minutes are there between 8:02 AM and 2:44 PM?
402
How many minutes are there between 12:58 AM and 3:15 AM?
137
What is 430 minutes before 1:15 PM?
6:05 AM
How many minutes are there between 4:57 AM and 3:54 PM?
657
How many minutes are there between 12:33 AM and 5:37 AM?
304
What is 126 minutes before 10:38 PM?
8:32 PM
What is 38 minutes after 8:24 PM?
9:02 PM
How many minutes are there between 5:56 AM and 11:06 AM?
310
What is 508 minutes after 2:13 PM?
10:41 PM
What is 293 minutes after 6:02 PM?
10:55 PM
What is 474 minutes before 6:09 AM?
10:15 PM
What is 410 minutes before 10:03 PM?
3:13 PM
How many minutes are there between 4:20 PM and 1:36 AM?
556
What is 652 minutes after 8:36 PM?
7:28 AM
What is 587 minutes after 3:04 AM?
12:51 PM
How many minutes are there between 10:44 AM and 4:51 PM?
367
What is 96 minutes after 7:26 AM?
9:02 AM
What is 595 minutes after 4:19 AM?
2:14 PM
What is 217 minutes after 2:50 AM?
6:27 AM
What is 612 minutes after 1:05 AM?
11:17 AM
What is 2 minutes before 11:33 PM?
11:31 PM
How many minutes are there between 6:15 AM and 12:31 PM?
376
How many minutes are there between 5:21 AM and 2:24 PM?
543
What is 12 minutes after 7:31 PM?
7:43 PM
What is 700 minutes before 5:00 AM?
5:20 PM
How many minutes are there between 10:50 PM and 3:33 AM?
283
How many minutes are there between 11:06 AM and 10:50 PM?
704
How many minutes are there between 1:26 PM and 11:43 PM?
617
What is 318 minutes before 8:28 AM?
3:10 AM
How many minutes are there between 6:04 AM and 12:48 PM?
404
How many minutes are there between 12:02 AM and 1:13 AM?
71
How many minutes are there between 4:40 AM and 2:24 PM?
584
How many minutes are there between 7:46 PM and 1:57 AM?
371
How many minutes are there between 1:00 PM and 2:30 PM?
90
What is 91 minutes after 7:11 PM?
8:42 PM
What is 141 minutes before 3:44 PM?
1:23 PM
What is 354 minutes before 6:03 PM?
12:09 PM
What is 473 minutes before 9:03 AM?
1:10 AM
What is 251 minutes after 6:30 PM?
10:41 PM
How many minutes are there between 5:55 AM and 5:05 PM?
670
How many minutes are there between 10:28 AM and 12:34 PM?
126
What is 693 minutes after 1:01 PM?
12:34 AM
What is 581 minutes after 6:00 AM?
3:41 PM
How many minutes are there between 4:00 PM and 8:04 PM?
244
How many minutes are there between 4:32 AM and 11:14 AM?
402
What is 345 minutes before 6:11 PM?
12:26 PM
How many minutes are there between 4:17 AM and 8:30 AM?
253
How many minutes are there between 10:01
|
{
"pile_set_name": "DM Mathematics"
}
|
25454
What is 16719430 divided by -1286110?
-13
What is 431 divided by -58581?
-431/58581
What is 3965460 divided by -396546?
-10
Calculate 315488118 divided by 318.
992101
Divide 40 by 1081828.
10/270457
Divide 20 by -9626915.
-4/1925383
Divide -105966686 by -398371.
266
172414543 divided by 172414543
1
237 divided by 7937
237/7937
Calculate -493640103 divided by 44876373.
-11
1509321258 divided by 3
503107086
Divide 22 by -6736027.
-22/6736027
What is -58061920 divided by -259205?
224
What is -5580108 divided by 1395027?
-4
What is -681508424 divided by 986264?
-691
What is 10966417 divided by 7?
1566631
What is -53886140 divided by 34991?
-1540
Divide -45885303 by 259239.
-177
Divide 113 by 3057041.
113/3057041
What is -21982 divided by 179?
-21982/179
3072580 divided by 9
3072580/9
-26988 divided by -13
2076
Divide -2 by -1676088.
1/838044
What is 11249 divided by -26622?
-11249/26622
Divide -4426020 by 16515.
-268
Calculate -951888186 divided by 43959.
-21654
-91 divided by 1203220
-91/1203220
Calculate -663522380 divided by 165880595.
-4
What is 13634832 divided by 16?
852177
Divide -43194877 by 4.
-43194877/4
Calculate 2660840 divided by -364.
-7310
What is 29 divided by 5457440?
29/5457440
28854301 divided by -4122043
-7
Divide -290 by -393322.
145/196661
Calculate -79764 divided by 54.
-13294/9
-675657205 divided by -135131441
5
What is -3 divided by 5343013?
-3/5343013
What is 327652713 divided by 6424563?
51
11773575 divided by -2475
-4757
-396132 divided by 147
-132044/49
Calculate 15 divided by -126117.
-5/42039
Divide 2016222 by 336037.
6
-126291 divided by 700
-126291/700
What is -3 divided by -144265?
3/144265
-32102 divided by -43781
32102/43781
0 divided by 3798749
0
What is -17849920 divided by 1936?
-9220
199815 divided by 2595
77
Divide 20631705 by -15.
-1375447
What is -1 divided by -16944947?
1/16944947
Calculate -94 divided by 2963840.
-47/1481920
What is -38607 divided by 109?
-38607/109
Calculate 4218530 divided by -33.
-4218530/33
-157430256 divided by -6
26238376
What is 18463440 divided by 30?
615448
Calculate 221 divided by -2404943.
-221/2404943
Calculate 860020602 divided by 246707.
3486
Calculate -6 divided by -2703944.
3/1351972
Calculate 137016834 divided by 3526.
38859
What is 60125240 divided by 140?
429466
Calculate 1110076848 divided by 11568.
95961
-64548092 divided by 849317
-76
Divide -4 by 2305967.
-4/2305967
1553295 divided by 5
310659
What is 804 divided by 31623?
268/10541
Divide 32416242 by -19.
-1706118
13312 divided by 4009
13312/4009
What is -8806602 divided by -4?
4403301/2
What is 3 divided by -1391207?
-3/1391207
Divide 5030659 by 1.
5030659
Calculate 259669218 divided by -312478.
-831
What is 9658142 divided by 18?
4829071/9
Calculate -1 divided by 374453.
-1/374453
What is -12735677 divided by 5?
-12735677/5
-6132659 divided by 29
-211471
Divide 43201785 by -403755.
-107
What is -12616 divided by 4967?
-12616/4967
Calculate -1323 divided by -141724.
1323/141724
What is -6404321 divided by 217?
-29513
Divide -7377038 by 71.
-7377038/71
Calculate -18753200 divided by -1384.
13550
Divide -4 by 183819454.
-2/91909727
108208 divided by -144
-6763/9
What is 0 divided by -5033876?
0
-5726420 divided by 28
-204515
What is 4316876 divided by -7?
-4316876/7
3541536 divided by -3
-1180512
-28992090 divided by 28992090
-1
What is 143063933 divided by -257?
-556669
Calculate -15040000 divided by 5.
-3008000
57842086 divided by 823
70282
Divide -60 by -116250.
2/3875
What is 5 divided by 1712249?
5/1712249
What is 707818 divided by 647?
1094
-30879360 divided by 54
-571840
Calculate 5 divided by -60976448.
-5/60976448
What is 78 divided by 16408?
39/8204
What is 84 divided by -4040951?
-84/4040951
What is -25438032 divided by 11?
-25438032/11
Calculate -488733 divided by 665.
-69819/95
What is 21343803 divided by 3673?
5811
10689040 divided by -212
-50420
What is 7 divided by 196699?
7/196699
What is -141258144 divided by 2544?
-55526
What is -5595795 divided by 6?
-1865265/2
Calculate -5623400 divided by 10.
-562340
What is 3 divided by -35730592?
-3/35730592
98407548 divided by -303727
-324
-49154931 divided by -7022133
7
-17887510 divided by -36730
487
383383 divided by 659
383383/659
33326 divided by -1078
-16663/539
10174362 divided by 3391454
3
-15631980 divided by -85890
182
Calculate 424956672 divided by 48384.
8783
38811 divided by 319
38811/319
What is 10 divided by 7633637?
10/7633637
Divide -192459 by 843.
-64153/281
Divide 2 by -55693237.
-2/55693237
-956278017 divided by -6332967
151
104320620 divided by -11591180
-9
-17375688 divided by -321772
54
Divide -3054556 by -724.
4219
What is 23193393 divided by 7731131?
3
Calculate 52539072 divided by -13134768.
-4
8648528 divided by 28
308876
What is 424 divided by 1740936?
53/217617
7593312 divided by 3496
2172
48199382 divided by 3442813
14
-13442291 divided by -17
790723
What is -1477632464 divided by -4?
369408116
Calculate 3624250 divided by 3624250.
1
7747393 divided by 15
7747393/15
-46260231 divided by 4
-46260231/4
-44069521 divided by -44069521
1
What is 35344302 divided by 5049186?
7
Calculate -3399072 divided by 15.
-1133024/5
Calculate -113643 divided by -2336.
113643/2336
What is -5 divided by -10903204?
5/10903204
What is 30409659 divided by 427?
71217
What is -622 divided by -26809?
622/26809
Divide 569 by 68987.
569/68987
What is 243732726 divided by -6?
-40622121
Calculate 9138360 divided by 56.
163185
Calculate 10422948 divided by 85434.
122
-445945218 divided by -137383
3246
Calculate 508210 divided by 1615.
101642/323
What is 99 divided by -155096?
-99/155096
1860 divided by 695
372/139
-5363820 divided by 35
-153252
-2565 divided by 2892
-855/964
Divide 1 by 11659.
1/11659
Calculate 41724447 divided by 3.
13908149
Calculate -4396 divided by -912.
1099/228
Calculate -9930190 divided by 1986038.
-5
-15002988 divided by 194844
-77
Calculate 3587187 divided by 1.
3587187
-5 divided by 13245615
-1/2649123
What is 545675424 divided by 136418856?
4
What is -1415115 divided by -21771?
65
-7721802 divided by 3966
-1947
Calculate 10214368 divided by -37.
-276064
144370832 divided by -94856
-1522
Divide -10777830 by -14.
769845
100747744 divided by -592
-170182
369230064 divided by 92307516
4
Divide 125331985 by 25066397.
5
Divide 228 by -10389.
-76/3463
Calculate -11774366 divided by -56.
5887183/28
-6609600 divided by 1377
-4800
Divide 16 by 21417522.
8/10708761
Calculate 670 divided by -6634.
-335/3317
Calculate -68 divided by 1060.
-17/265
2 divided by -3327840
-1/1663920
What is -3243413 divided by 1889?
-1717
-1672648150 divided by -5
334529630
Divide -901890750 by 23250.
-38791
Calculate 3193323 divided by -7.
-456189
335353188 divided by 524
639987
What is -954805884 divided by -2?
477402942
What is 46603620 divided by -3780?
-12329
-2715227522 divided by -2
1357613761
653 divided by 214158
653/214158
Divide 1849358 by 167.
11074
What is -240161745 divided by 6?
-80053915/2
Divide 4 by 50559047.
4/50559047
What is 909692658 divided by -126?
-7219783
Calculate -420 divided by 207406.
-210/103703
What is -5627 divided by -751?
5627/751
Divide 2059 by -15414.
-2059/15414
Calculate 21 divided by -55346050.
-21/55346050
What is 5411520 divided by 3758?
1440
Divide -60706555 by -4669735.
13
21768384 divided by 1978944
11
Divide 4848994 by 1.
4848994
Calculate 1338669 divided by -29.
-46161
Divide 6612210 by 66.
100185
2130300 divided by 26300
81
4962711 divided by -51
-1654237/17
Divide 15460908 by 57.
271244
Calculate -131311736 divided by -1528.
85937
Divide -1613927024 by 4.
-403481756
What is 81440595 divided by 3?
27146865
What is 66784 divided by 5528?
8348/691
-1 divided by 457142
-1/457142
Calculate 198330964 divided by 29068.
6823
Calculate 4858 divided by -9204.
-2429/4602
What is -103366086 divided by -37?
2793678
Divide 108542484 by 236476.
459
Calculate 15408894 divided by -2.
-7704447
Divide 17525144 by 625898.
28
Calculate -3971394 divided by -13194.
301
Divide -7655330 by 5.
-1531066
What is 184724722 divided by 244993?
754
What is -3827550 divided by -1343?
2850
Calculate 81808804 divided by -22.
-3718582
281804112 divided by 6
46967352
Divide 1 by 235342887.
1/235342887
What is 126294576 divided by -21049096?
|
{
"pile_set_name": "DM Mathematics"
}
|
38/5)
Simplify (y**(2/5))**35/((y/y**(-2/3))/y)**(2/15) assuming y is positive.
y**(626/45)
Simplify (m/m**(2/7))**(8/9) assuming m is positive.
m**(40/63)
Simplify (k*k**(-1/4)*k)/(k**(-5)/k*k)*((k**(-1/4)/k*k)/k*k)/k*k*k**(-1/2) assuming k is positive.
k**6
Simplify ((z**(-2)*z)/(z/(z**8*z)))**(-30) assuming z is positive.
z**(-210)
Simplify ((i/(i/(i*i*i**(-2/5))))/(((i*i*i*i**(-9)/i*i)/i)/i))**(-3/11) assuming i is positive.
i**(-144/55)
Simplify (m**6/((m/(m**(-7)/m))/m))**(-8/7) assuming m is positive.
m**(16/7)
Simplify (h**(-6)*h**(2/19)/h)**(1/10) assuming h is positive.
h**(-131/190)
Simplify ((w*w**0)/w)/(w/w**(2/7))*(w/w**(1/11))/w**7 assuming w is positive.
w**(-524/77)
Simplify (o**(-9))**(-4) assuming o is positive.
o**36
Simplify ((q*(q**(2/7)/q)/q)**(-1/14))**(-29) assuming q is positive.
q**(-145/98)
Simplify s**24/(s**(5/3)*s) assuming s is positive.
s**(64/3)
Simplify (((s*s**(-1/14)*s)/s*s)/s*s)/s**(-1/4)*s**(-2/27)/s*s/(s*s**(2/5)) assuming s is positive.
s**(2663/3780)
Simplify (y**(1/19))**(-9/2) assuming y is positive.
y**(-9/38)
Simplify (l**0*l**(1/14))**(-29) assuming l is positive.
l**(-29/14)
Simplify (k*(k*(k/(k**(-5/3)*k))/k)/k)/(k*k**(-1/10)) assuming k is positive.
k**(23/30)
Simplify (b**0)**(1/28)/(b**(-1/2))**(1/14) assuming b is positive.
b**(1/28)
Simplify a**(-23)/((a*a**(11/5)*a)/a) assuming a is positive.
a**(-131/5)
Simplify (d*d**(-1)*d)**(-3)*d/((d*d**6*d*d)/d)*(d/d**(1/8)*d)/d assuming d is positive.
d**(-73/8)
Simplify (s**(-1/5)*s*(s*(s**(-2/9)*s)/s*s)/s*s)/(s**7/(s/(s/((s**(-2)*s*s*s)/s)))) assuming s is positive.
s**(-199/45)
Simplify (f**1)**(3/38)/(f**(1/4))**(-39) assuming f is positive.
f**(747/76)
Simplify (y*y/((y/(y/(y/(((y*y**(-7/4))/y)/y))))/y)*y)/y**5 assuming y is positive.
y**(-19/4)
Simplify ((m/(m**(-1/4)/m*m))/m*m)/(m/(m*m**1)) assuming m is positive.
m**(9/4)
Simplify (f*f*f*f**(2/7))**(3/26)/(f**(-4)*f/(f/(f*f**(8/3)))) assuming f is positive.
f**(389/546)
Simplify (y**(1/6)*y*(y**(3/4)*y)/y)**(1/3) assuming y is positive.
y**(23/36)
Simplify ((c/c**(-8)*c)/c)/(c/(c*c**(-1/6))) assuming c is positive.
c**(53/6)
Simplify (j/(j/j**(4/5)*j)*j**(2/23)/j)**42 assuming j is positive.
j**(-5376/115)
Simplify (l/(((l**(-1/15)/l)/l)/l))**(24/7) assuming l is positive.
l**(488/35)
Simplify t/((((t*t/(t**23/t))/t)/t)/t)*t**(-19) assuming t is positive.
t**5
Simplify z*z*(z/z**13)/z*z*z*(z*(z*z**(1/8))/z*z)/z assuming z is positive.
z**(-63/8)
Simplify (b**(2/7)*b)/b**14 assuming b is positive.
b**(-89/7)
Simplify (i*i*(i*i*((i**(-27)*i)/i)/i)/i)/i**(6/7) assuming i is positive.
i**(-181/7)
Simplify (q**(-2))**(2/5)*(q*q**(-1))**37 assuming q is positive.
q**(-4/5)
Simplify (z/z**(-9))/(z**7/z)*((z*z**(-4/3)*z)/z*z)/z**(-1) assuming z is positive.
z**(17/3)
Simplify t*t/(t*t/t**1)*t**(-2/7) assuming t is positive.
t**(5/7)
Simplify ((c**(-1))**(-49))**(-43) assuming c is positive.
c**(-2107)
Simplify v**5/v**1*v**9*v*v*v**(-4) assuming v is positive.
v**11
Simplify (p**(1/8)/p**2)**(-39) assuming p is positive.
p**(585/8)
Simplify (h*(h*h**(-3/11)*h*h)/h*h)**7 assuming h is positive.
h**(287/11)
Simplify (f**(-1/5)*f**2)/(((f/(f*f**(1/4)*f))/f)/(((f**(-5)/f)/f)/f)) assuming f is positive.
f**(-79/20)
Simplify (p**50*p)**(1/4) assuming p is positive.
p**(51/4)
Simplify (f**(-1))**6 assuming f is positive.
f**(-6)
Simplify (f**(1/10))**(3/32) assuming f is positive.
f**(3/320)
Simplify ((o**(-16/5)*o*o)/o)/(o*o/((o**(3/5)*o)/o)) assuming o is positive.
o**(-18/5)
Simplify (q/(q*q**11)*q**(-1/3))/((q*q**(1/5)/q)/((q**(-10)*q)/q)) assuming q is positive.
q**(-323/15)
Simplify ((((b/b**(2/9))/b*b)/b)**23)**(2/15) assuming b is positive.
b**(-92/135)
Simplify (((i*i**(1/3))/i)**(-30))**6 assuming i is positive.
i**(-60)
Simplify q*q**(-4)*q**29/q assuming q is positive.
q**25
Simplify (o/(o**(8/3)*o))/(o*o/(o/(o/(o/(o*o/o**(-17/4)*o))*o))*o) assuming o is positive.
o**(-155/12)
Simplify (z*z*z**(-1/2)/z)/z**(-1/3)*(z**4*z)/z**6 assuming z is positive.
z**(-1/6)
Simplify (((c**4/c)/c*c)/c*c/c**(-11))/(c**(-1/3))**(-1/11) assuming c is positive.
c**(461/33)
Simplify r**(-8)/((r/(r*r**17)*r)/r) assuming r is positive.
r**9
Simplify ((n/n**2)**(-3/35))**(2/15) assuming n is positive.
n**(2/175)
Simplify y/(y**(-2/5)/y)*y*y**1*y*y*y**(-2/5)*y/y**(2/7) assuming y is positive.
y**(47/7)
Simplify ((m/((m/(m/m**(-1)))/m))/m)**17*(m*m/((m*m**0)/m))**(22/3) assuming m is positive.
m**(146/3)
Simplify (x**(1/6)/x**(-4))/(x**(-3/7)*x**(2/5)/x*x) assuming x is positive.
x**(881/210)
Simplify a**31*a*((a**(22/3)*a)/a)/a assuming a is positive.
a**(115/3)
Simplify u**(5/7)/(u/((u/u**(1/10))/u)*u) assuming u is positive.
u**(-97/70)
Simplify (m**(-2/13))**29 assuming m is positive.
m**(-58/13)
Simplify p**(14/5)*((p*p/p**(4/9))/p)/p assuming p is positive.
p**(106/45)
Simplify (n**(6/7)/(n**(-2/3)/n))/(n**(-3)*n/((n/(n**6*n))/n)*n) assuming n is positive.
n**(-73/21)
Simplify (((d*d/d**(2/7)*d)/d)/d*d*d)**(3/32)/(d*d**(-9)*d**(-1/4)/d) assuming d is positive.
d**(2129/224)
Simplify ((n*n**(-1/3))**(7/6))**20 assuming n is positive.
n**(140/9)
Simplify y**(-4/5)*y*y*y*y**1/y*y**(-5)*y/(y**(2/7)*y)*y assuming y is positive.
y**(-73/35)
Simplify (a**(2/7)*a)/a**(3/2)*(a**(-1/5))**38 assuming a is positive.
a**(-547/70)
Simplify (c**(1/2))**23*(c/c**(2/17))/c*c/(c*c**1) assuming c is positive.
c**(353/34)
Simplify (((b*b**(-6))/b)/b)/(b*b*b/b**(-9))*b**(-9)/(b/(b/b**(-3))) assuming b is positive.
b**(-25)
Simplify (x*x*x/(x/x**1))**(-18)*(x**2/x)/(x/x**(-1/6)) assuming x is positive.
x**(-325/6)
Simplify (j*j**0)**24/(j**(-1))**(-19) assuming j is positive.
j**5
Simplify u**6*u/u**(-15) assuming u is positive.
u**22
Simplify ((z*z*z**9)/(z/z**8))**(5/4) assuming z is positive.
z**(45/2)
Simplify w**(-28)*w*w**(-3/28) assuming w is positive.
w**(-759/28)
Simplify u**(8/3)/u**(-9)*(u**(-7)/u)/u**(1/10) assuming u is positive.
u**(107/30)
Simplify (b**(-1/5))**(-21) assuming b is positive.
b**(21/5)
Simplify (w**(2/5)/(((w*(w*w**10)/w*w)/w*w*w)/w))**(4/19) assuming w is positive.
w**(-232/95)
Simplify ((y*(y/(y*y/(y/(y/(y*y**(1/3)/y*y)))*y*y))/y)**(-50))**(-6/7) assuming y is positive.
y**(-500/7)
Simplify (d/d**3*d**(-5))**(-4/29) assuming d is positive.
d**(28/29)
Simplify ((y*y/y**(-3)*y)/y**(-6/7))**(26/7) assuming y is positive.
y**(1248/49)
Simplify ((q*q**(-3)*q)**(-44))**(-32) assuming q is positive.
q**(-1408)
Simplify (q*q**(-22)*q)/(q/q**(20/7)) assuming q is positive.
q**(-127/7)
Simplify (n/n**20)/(n**4/n) assuming n is positive.
n**(-22)
Simplify (u**27/u)/u**(-3/4) assuming u is positive.
u**(107/4)
Simplify (r**1/(r/(r/(r/r**7))))**(-1/5) assuming r is positive.
r**(-7/5)
Simplify (o/o**0)**12*(o*o/(o/((o*o/o**(-2)*o)/o)))/(o*o**3/o) assuming o is positive.
o**14
Simplify k/(k**14*k)*k**7/k assuming k is positive.
k**(-8)
Simplify (d**(2/5))**23/(d/(d*d**5)*d**1) assuming d is positive.
d**(66/5)
Simplify (j**(-2/9))**20/(j**(-4)*j*j/(j/j**(-5/6)*j)) assuming j is positive.
j**(7/18)
Simplify q**3*q**(-7)*q*q*q**(-7)/q*q*q**(-1/6) assuming q is positive.
q**(-55/6)
Simplify j**(-1/34)*j**(-11) assuming j is positive.
j**(-375/34)
Simplify (n**(-2/17)/(n*n*(n*n**(-5)/n)/n*n*n*n))/(n**(-2/17)*n**5/n) assuming n is positive.
n**(-3)
Simplify ((k**(2/7))**(-29))**(-6/17) assuming k is positive.
k**(348/119)
Simplify ((f*f**(3/2))/(f/(f**(-2/17)/f)))**(-30) assuming f is positive.
f**(-195/17)
Simplify ((t/(t**(-2/3)*t*t))/t)**(-47)*(t**0/t*t)**(-46) assuming t is positive.
t**(188/3)
Simplify (c*c*c*c*c**(2/9)/c*c)**15*(c*c**(-3/4))**(-10/9) assuming c is positive.
c**(1135/18)
Simplify (l/(l/l**(-6/11)))**33 assuming l is positive.
l**(-18)
Simplify (n**(2/7))**(-9) assuming n is positive.
n**(-18/7)
Simplify z**2*z**(3/4)*(z/(z/(z/z**(-2))*z))**(-12) assuming z is positive.
z**(-85/4)
Simplify t/(t*t**(-1/2)*t*t)*t**5*t**4/t*t*t**6 assuming t is positive.
t**(27/2)
Simplify t**(2/23)*t/t**(-23)*t assuming t is positive.
t**(577/23)
Simplify c*(c**(-31)/c*c*c*c*c)/c*c**16 assuming c is positive.
c**(-12)
Simplify ((d*d**(1/7)*d)**40)**41 assuming d is positive.
d**(24600/7)
Simplify (l*l/(l/l**(-2/3))*(l*l**(-5))/l)/((l**(-4)*l)/l**(1/2)) assuming l is positive.
l**(-7/6)
Simplify (l**1)**(2/69) assum
|
{
"pile_set_name": "DM Mathematics"
}
|
4716*b**2?
-16728*b - 1227618
Find the third derivative of 33710896*u**3 + 2*u**2 + 3852570 wrt u.
202265376
Find the third derivative of -44771584*g**4 - 4*g**2 + 18*g + 102637 wrt g.
-1074518016*g
Find the third derivative of 510*b**6*h**3 - 1195*b**3*h**3 - 46*b**2*h**3 - 2*h**3 - 561*h wrt b.
61200*b**3*h**3 - 7170*h**3
Find the second derivative of 2148706*t**4*v + 14*t**3*v - 3216*t*v + 11526*t wrt t.
25784472*t**2*v + 84*t*v
Find the second derivative of 59*d**3*z**2 + 73*d**3 + 824*d*z**2 - 2332*d*z + z**2 - z + 1 wrt z.
118*d**3 + 1648*d + 2
Differentiate 935334838*a*z**3 - 5178*z**3 + 858*z**2 - 4*z wrt a.
935334838*z**3
Find the second derivative of -159624057*v**3 + 172282943*v.
-957744342*v
What is the derivative of 31576499*t + 17883161 wrt t?
31576499
Find the third derivative of -26762541*m**3 - 102602*m**2 - 28*m.
-160575246
Differentiate -3416*y**3 - 17*y**2 + 170*y - 174688586 with respect to y.
-10248*y**2 - 34*y + 170
Differentiate 351*a*r - 46*a - 50412*r + 105500 wrt r.
351*a - 50412
Find the second derivative of 47711271*h**3 - h**2 - 36864383*h wrt h.
286267626*h - 2
Find the first derivative of 4*w*z**3 - 85221455*w + 96035*z**3 - 32*z wrt z.
12*w*z**2 + 288105*z**2 - 32
Find the first derivative of -361200255*c**3 - 37080235 wrt c.
-1083600765*c**2
Find the second derivative of -t**5 - 1575651*t**4*v + 465*t*v + 899*t wrt t.
-20*t**3 - 18907812*t**2*v
Find the first derivative of -80652*p**2 + 65*p - 20076297 wrt p.
-161304*p + 65
Differentiate 2*f*s**2 - 36*f*s + 44744923*f - 41*s**2 + 1895*s wrt s.
4*f*s - 36*f - 82*s + 1895
What is the second derivative of -238*m*u**3 + 36*m*u**2 - 358*m*u + 44*m + 11*u**3 + 187*u**2 + 46*u + 1 wrt u?
-1428*m*u + 72*m + 66*u + 374
What is the first derivative of -6*g**2*z + 420*g**2 + 862*g*z - 25090811*z wrt g?
-12*g*z + 840*g + 862*z
Differentiate 2*c**3*n*u**2 + 8*c**3*y - 265547*c**2*u**2*y + 56349506*n*u**2*y - 9*y with respect to n.
2*c**3*u**2 + 56349506*u**2*y
What is the second derivative of -3027*k**3 - 17474*k**2 - 764539276*k?
-18162*k - 34948
What is the first derivative of 324223*b**2 - 5*b - 4996846?
648446*b - 5
What is the third derivative of -13321823*w**4 + 931407*w**2 - 4 wrt w?
-319723752*w
What is the first derivative of -263*g*i**2 + 317*g*i + 160*g + 12*i**2 + 4052 wrt i?
-526*g*i + 317*g + 24*i
Find the first derivative of -3*m*p**2*z + 1072*m*z**2 + m*z + 2*m + 5*p**2*z + 24*p*z**2 - 14*p - 3*z**2 + 79*z wrt m.
-3*p**2*z + 1072*z**2 + z + 2
Find the third derivative of 5388120*a**3 + 139*a**2 - 4008*a.
32328720
Find the first derivative of 282799445*y**4 - 2*y - 400942069 wrt y.
1131197780*y**3 - 2
Find the third derivative of -316950581*p**5 + 647996*p**2 - 14*p - 2 wrt p.
-19017034860*p**2
What is the second derivative of 100893309*y**5 + 4*y + 4987311 wrt y?
2017866180*y**3
Find the second derivative of -421928170*g**2 + 924052907*g wrt g.
-843856340
What is the derivative of 9238*b*h**2*q - 66*b*h**2 - 9*b*h + 5*h**2*q + h**2 + h - 133257*q wrt b?
9238*h**2*q - 66*h**2 - 9*h
Find the third derivative of -27388*h**5 - 84*h**4 + h**3 - 470453170*h**2 wrt h.
-1643280*h**2 - 2016*h + 6
Find the second derivative of 727970253*m**2 - 88504*m + 5317 wrt m.
1455940506
What is the derivative of -12393*q**4 - 31*q**3 - 12699590 wrt q?
-49572*q**3 - 93*q**2
What is the derivative of 683*b**3*q**3 + 10091*b*q - 57*q**3 + 1204*q**2 + 26*q - 1 wrt b?
2049*b**2*q**3 + 10091*q
What is the derivative of 346423*b**2 + 2*b - 7155313?
692846*b + 2
What is the derivative of 12549753*c - 15755090 wrt c?
12549753
Differentiate -1248*o**4 + 18564*o**2 + 77718520 with respect to o.
-4992*o**3 + 37128*o
Find the second derivative of 24838320*x**3 - x**2 - x + 41064650 wrt x.
149029920*x - 2
Find the third derivative of 25987268*h**3 + 24*h**2 + 72875.
155923608
Find the second derivative of 343700*f**4 - 30*f**2 + 18*f + 1071980.
4124400*f**2 - 60
What is the first derivative of -228961862*a**3*b + a**3 - 178270*a**2 - a + 26 wrt b?
-228961862*a**3
Find the second derivative of -631068*x**4 - 3*x**3 - 41*x**2 + 305071312*x wrt x.
-7572816*x**2 - 18*x - 82
What is the third derivative of -10232822*j**3 - 53056*j**2 + 53*j?
-61396932
What is the second derivative of -20215*p**5 + 7*p**4 - 15*p**2 + 513729*p - 2 wrt p?
-404300*p**3 + 84*p**2 - 30
Find the first derivative of -572483*z + 7071119 wrt z.
-572483
Find the third derivative of 72*u**6 - 1143*u**4 + 205*u**3 - 745342379*u**2 wrt u.
8640*u**3 - 27432*u + 1230
What is the first derivative of -2*m**3*w - 66*m**3 - 27767*m**2 + 260669*w wrt w?
-2*m**3 + 260669
Find the first derivative of -2*v*z**2 - 6815*v*z + 40227633*v + 3*z**2 - 32*z wrt z.
-4*v*z - 6815*v + 6*z - 32
Find the second derivative of 258*q**5*u + 12773*q**3*u - 13*q*u + 294*q - 5*u - 6 wrt q.
5160*q**3*u + 76638*q*u
What is the third derivative of 434*g**3*v**3 + 16099*g**3 - 2851*g**2*v - 2*g*v**3 - 4*g*v**2 - 6*v wrt g?
2604*v**3 + 96594
Differentiate -222*a**2 - 868449*a + 397589905 with respect to a.
-444*a - 868449
Differentiate -3508*f**2 + 97742*f + 1009428963 with respect to f.
-7016*f + 97742
What is the second derivative of -1167779296*x**2*z + 2*x*z + 88502797*x - z - 1 wrt x?
-2335558592*z
What is the derivative of -2925*c*k*p - 11*c*n*p**2 + 49831*c*n - 8*c*p**3 + k*n*p - 10593*k*p**3 - n*p + 2 wrt k?
-2925*c*p + n*p - 10593*p**3
What is the first derivative of 352803201*u + 208736392?
352803201
What is the second derivative of -544167*l**2*w**4 - 15*l**2*w**2 + 572635*l**2*w + 11*l**2 + 2*l wrt w?
-6530004*l**2*w**2 - 30*l**2
What is the second derivative of 40293583*o**2 - 2*o + 4664885 wrt o?
80587166
What is the second derivative of 6872563*k*n**3 + 109241*k*n - 2*k - n**3 - n - 1 wrt n?
41235378*k*n - 6*n
Find the third derivative of -549*k**6 + 26087*k**4 + 1425705*k**2.
-65880*k**3 + 626088*k
What is the second derivative of -8602180*p**3 - 12912433*p wrt p?
-51613080*p
Find the second derivative of 76862*u**2 - 7082642*u.
153724
Find the second derivative of -6*i**2*n**2*u**2 + i**2*n*u**3 - 34*i**2*n*u**2 - 4*i**2*u - 669*i*u**2 - 15448731*n**2*u**3 - 2*n wrt n.
-12*i**2*u**2 - 30897462*u**3
Differentiate -7709583*n - 1550204 with respect to n.
-7709583
What is the first derivative of 51*r**2 - 1051*r + 25403380?
102*r - 1051
Differentiate 740941564*k - 730642571.
740941564
Find the second derivative of 227955152*v**2 - 44175529*v wrt v.
455910304
Find the third derivative of -40691994*z**3 - 13071*z**2 + 368*z.
-244151964
What is the second derivative of 16*p*w**3 - 2*p*w**2 - 1207*p*w - 2819*w**3 + 3*w**2 + 259082*w wrt w?
96*p*w - 4*p - 16914*w + 6
What is the derivative of 44*w**4 - 378283*w**2 - 11*w + 1093648907?
176*w**3 - 756566*w - 11
What is the second derivative of -65338327*o**2 - 10868*o - 694 wrt o?
-130676654
Find the second derivative of 741*q**2*w**3 - 887*q**2*w - 2*q**2 - 2570455*q*w**3 wrt q.
1482*w**3 - 1774*w - 4
What is the second derivative of 20*m**4 - 4*m**3 + 3929*m**2 + m - 9704500 wrt m?
240*m**2 - 24*m + 7858
What is the first derivative of 169*k**2 - 258737*k - 190361845?
338*k - 258737
Differentiate 30753304*a*c**2 + 3835*a + 4*c + 9319 with respect to c.
61506608*a*c + 4
Find the third derivative of 100546414*j**6 + j**5 - 98622164*j**2.
12065569680*j**3 + 60*j**2
What is the third derivative of 113*h**4*l + 86*h**4 - 34*h**3*l**2 + 26*h**2*l**2 - h*l - 11*l**2 + 4*l - 42 wrt h?
2712*h*l + 2064*h - 204*l**2
What is the third derivative of -13533539*h**5 + 2*h**4 - 24119729*h**2?
-812012340*h**2 + 48*h
Find the second derivative of -828*g*m**2 - 257*g - 2581*m**2 - 113*m - 10 wrt m.
-1656*g - 5162
Find the second derivative of 22*k**2*w**2 + 3748*k**2*w + 2*k*w**2 + k*w + k + 3*w**2 - 27559*w wrt k.
44*w**2 + 7496*w
Find the first derivative of -2*p**3*s + 4*p**3 - 987*p**2 - 30035691*p*s**3 - 2*p - 18160 wrt s.
-2*p**3 - 90107073*p*s**2
Find the third derivative of 10*h**5*i**2 + 45251*h**5*i - 120192*h**2*i - 7*i**2 wrt h.
600*h**2*i**2 + 2715060*h**2*i
What is the third derivative of -125*h**3*m**3 - 7*h**3*m**2 - 437*h**3 + 4352*h*m**3 + 3*h*m**2 + h - 29*m**3 + 25*m**2 - m wrt m?
-750*h**3 + 26112*h - 174
Find the first derivative of -21380409*l + 16170819 wrt l.
-21380409
What is the first der
|
{
"pile_set_name": "DM Mathematics"
}
|
two letters picked without replacement from fjjfefaecefdca?
4/91
What is prob of sequence xj when two letters picked without replacement from aiaxamhjamixajajhm?
1/51
Calculate prob of sequence hhmh when four letters picked without replacement from hdhxdmhdihhmu.
1/143
Calculate prob of sequence xzo when three letters picked without replacement from {x: 2, b: 1, p: 1, z: 5, c: 3, o: 1}.
5/858
Two letters picked without replacement from {s: 6, v: 4, p: 3, k: 2, g: 2}. What is prob of sequence vv?
3/68
Two letters picked without replacement from {p: 1, i: 2, o: 1, j: 1, l: 1, n: 2}. Give prob of sequence jp.
1/56
Two letters picked without replacement from iainjibbianim. Give prob of sequence jm.
1/156
What is prob of sequence qn when two letters picked without replacement from qqqppwqpqqqppqnwpq?
1/34
Calculate prob of sequence bzz when three letters picked without replacement from {q: 4, g: 1, b: 3, z: 2}.
1/120
What is prob of sequence xehh when four letters picked without replacement from {t: 1, o: 1, x: 3, h: 6, e: 1}?
1/132
Calculate prob of sequence imbi when four letters picked without replacement from ilbmiibmimbqmibii.
1/85
Calculate prob of sequence lkl when three letters picked without replacement from {l: 5, k: 3}.
5/28
Three letters picked without replacement from {z: 9, i: 10}. Give prob of sequence iii.
40/323
What is prob of sequence jof when three letters picked without replacement from {j: 2, r: 2, v: 2, w: 2, f: 1, o: 5}?
5/1092
What is prob of sequence sy when two letters picked without replacement from yyytptppps?
1/30
Two letters picked without replacement from {w: 1, b: 1, t: 1, f: 2}. Give prob of sequence tb.
1/20
Calculate prob of sequence da when two letters picked without replacement from hujjjjhbhhjdabb.
1/210
Two letters picked without replacement from szssp. What is prob of sequence zp?
1/20
Calculate prob of sequence mrtt when four letters picked without replacement from {t: 5, v: 2, z: 3, r: 1, m: 1}.
1/594
Calculate prob of sequence yylv when four letters picked without replacement from yrlrdylelveye.
3/2860
Four letters picked without replacement from {c: 4, r: 3, f: 5, s: 1}. What is prob of sequence frcr?
1/143
Two letters picked without replacement from {y: 1, w: 1, v: 11}. What is prob of sequence yw?
1/156
What is prob of sequence lhh when three letters picked without replacement from {i: 1, l: 2, b: 1, j: 1, h: 4}?
1/21
Three letters picked without replacement from uxuuxuxuquuxuquu. Give prob of sequence qxu.
1/42
Four letters picked without replacement from {i: 2, b: 1, m: 1, e: 1, x: 1, t: 2}. What is prob of sequence bitm?
1/420
Calculate prob of sequence kj when two letters picked without replacement from jjjkljjxjxjjjl.
9/182
Three letters picked without replacement from kkgxkkxgkjjkgguk. What is prob of sequence kxj?
1/120
What is prob of sequence qz when two letters picked without replacement from {z: 3, q: 2}?
3/10
Three letters picked without replacement from kkzz. Give prob of sequence zkk.
1/6
Calculate prob of sequence ss when two letters picked without replacement from {b: 3, r: 8, s: 3, j: 3}.
3/136
Calculate prob of sequence yv when two letters picked without replacement from yvyjvyyylyyvyvyyy.
11/68
Calculate prob of sequence drri when four letters picked without replacement from diyrrrd.
1/70
What is prob of sequence wms when three letters picked without replacement from smmemmwwmmse?
1/55
Two letters picked without replacement from gaazgz. Give prob of sequence ga.
2/15
Three letters picked without replacement from {p: 18, a: 1}. Give prob of sequence ppp.
16/19
Three letters picked without replacement from {r: 4, t: 1, o: 2, q: 4}. What is prob of sequence rqq?
8/165
What is prob of sequence oggo when four letters picked without replacement from joghaghahaaa?
0
What is prob of sequence hjj when three letters picked without replacement from {j: 11, h: 1}?
1/12
Calculate prob of sequence od when two letters picked without replacement from {d: 1, f: 2, e: 1, u: 8, l: 1, o: 2}.
1/105
What is prob of sequence pxp when three letters picked without replacement from xobpoopopobbooxpo?
1/170
What is prob of sequence yyy when three letters picked without replacement from rryryyyyryrry?
35/286
Four letters picked without replacement from {s: 4, g: 3, m: 3, f: 1, e: 2, c: 2}. Give prob of sequence cgcf.
1/5460
What is prob of sequence vvvv when four letters picked without replacement from vvvv?
1
Three letters picked without replacement from ooffffogfggffofoo. Give prob of sequence goo.
3/136
Two letters picked without replacement from kejfygekkjejjk. Give prob of sequence ef.
3/182
Four letters picked without replacement from {j: 6}. What is prob of sequence jjjj?
1
Two letters picked without replacement from {f: 2, b: 1, g: 2}. Give prob of sequence bf.
1/10
What is prob of sequence ol when two letters picked without replacement from {o: 9, a: 8, l: 2}?
1/19
What is prob of sequence ggg when three letters picked without replacement from {g: 7, a: 6}?
35/286
Four letters picked without replacement from {i: 2, c: 1, h: 1, l: 1}. What is prob of sequence hlhi?
0
Four letters picked without replacement from {n: 4, q: 3, i: 10, x: 1}. Give prob of sequence iqii.
1/34
Two letters picked without replacement from fufufrfq. Give prob of sequence fu.
1/7
Calculate prob of sequence ja when two letters picked without replacement from qqqjqajjaaqjj.
5/52
Two letters picked without replacement from {j: 1, p: 3, r: 2, c: 2, l: 6}. What is prob of sequence rp?
3/91
Calculate prob of sequence meim when four letters picked without replacement from emehehimyhz.
1/1320
Calculate prob of sequence lzq when three letters picked without replacement from {k: 1, z: 1, h: 3, q: 2, n: 4, l: 4}.
4/1365
Calculate prob of sequence jwaa when four letters picked without replacement from eajjawf.
1/210
Three letters picked without replacement from xuxnqhuuhx. What is prob of sequence xqh?
1/120
What is prob of sequence trh when three letters picked without replacement from {e: 2, t: 1, h: 2, r: 1, m: 1}?
1/105
Four letters picked without replacement from {o: 2, b: 1, c: 3, e: 1, w: 5, y: 1}. Give prob of sequence wewc.
1/286
What is prob of sequence pvmp when four letters picked without replacement from {l: 1, a: 3, p: 3, m: 2, h: 7, v: 3}?
1/2584
Calculate prob of sequence llll when four letters picked without replacement from {e: 1, t: 2, l: 4, n: 4}.
1/330
Three letters picked without replacement from {d: 1, z: 2, x: 1, q: 1, s: 2, j: 2}. What is prob of sequence sdq?
1/252
Three letters picked without replacement from {g: 1, o: 1, b: 1, c: 1, t: 1, h: 2}. What is prob of sequence hbg?
1/105
Calculate prob of sequence bq when two letters picked without replacement from babbobqaoqbqhbobbob.
3/38
Two letters picked without replacement from nvvvvnn. What is prob of sequence nv?
2/7
Two letters picked without replacement from yfy. What is prob of sequence yf?
1/3
Calculate prob of sequence yvvv when four letters picked without replacement from yvuy.
0
Two letters picked without replacement from {q: 1, o: 1, n: 2, k: 1}. What is prob of sequence ko?
1/20
Three letters picked without replacement from niheteqh. Give prob of sequence iet.
1/168
Four letters picked without replacement from {a: 9, z: 6, q: 4}. Give prob of sequence aaqa.
7/323
Two letters picked without replacement from {g: 3, o: 9}. What is prob of sequence og?
9/44
Two letters picked without replacement from {j: 2, i: 1, g: 1, a: 2, d: 3, y: 8}. What is prob of sequence jd?
3/136
What is prob of sequence fb when two letters picked without replacement from fbffffbb?
15/56
What is prob of sequence iid when three letters picked without replacement from uuuuiduuuuuuiu?
1/1092
Two letters picked without replacement from {t: 5}. What is prob of sequence tt?
1
Calculate prob of sequence iii when three letters picked without replacement from {i: 4, p: 6}.
1/30
Calculate prob of sequence rhr when three letters picked without replacement from {h: 2, r: 6}.
5/28
Two letters picked without replacement from zkxksskzkksskk. Give prob of sequence xs.
2/91
Three letters picked without replacement from ffzffffffzzzzfff. Give prob of sequence fzz.
11/168
Calculate prob of sequenc
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 4*u - 6*u) + 5*u - 5*u + 2*u + (-3 + 4 - 3)*(-u + 0*u + 3*u) to l*u + k and give l.
-74
Express -d**3 + d**3 + 3*d**3 + (-4 - 3*d**3 + 4 + (d**3 + d**3 + 0*d**3)*(-4 + 3 + 3))*(3 - 6 + 2) in the form k + n*d**3 + f*d + t*d**2 and give n.
2
Rearrange (1 - 2*g + 2*g - g)*(-2 - 3 + 0 + (-2 + 2 + 1)*(-3 - 3 + 4)) to the form h*g + s and give h.
7
Express (2*h - 4*h + 0*h)*(0*h**2 - h**2 - h**2 + (7*h**2 - 2*h**2 + 3*h**2)*(-2 + 4 - 1)) in the form c*h + t*h**3 + k + z*h**2 and give t.
-12
Rearrange -3*f - 3*f**3 - 3*f + 11*f + 2 - 3*f to the form i*f + c*f**2 + j + y*f**3 and give y.
-3
Rearrange (26*t - 28 + 28)*(-1 + 4 - 1)*(4 - 2*t - 2 + t) to r*t**2 + v + w*t and give w.
104
Rearrange 11*p**2 - 10*p**2 + 7*p + 3 - 3 to d*p + r*p**2 + f and give d.
7
Express -21*u**2 + 25*u**2 + 3 - 2*u + 2*u in the form a*u + l + s*u**2 and give s.
4
Express (-1 + 0 + 31)*(4*o + o - 6*o) as y + r*o and give r.
-30
Rearrange (7*s - 7 + 7)*(-1 - 5 + 3)*(2*s - 9*s - s) to the form o*s + d + y*s**2 and give y.
168
Express -3*o**2 - 18 - 5*o**2 + 19 in the form g + n*o**2 + h*o and give g.
1
Rearrange (1 - 1 + 2)*(-1 + 1 + 2)*(-5*m**2 - m**2 - 2 + 1) to v*m**2 + z + i*m and give v.
-24
Rearrange -70*r + 4*r - r + (-4 + 3 + 0)*(-5*r + 0*r + 3*r) to q*r + n and give q.
-65
Rearrange 2*c**2 + c - 4*c**2 + 3*c**2 - 2 + c**3 to the form h + y*c + g*c**3 + q*c**2 and give h.
-2
Rearrange -55*b**3 - b + 0*b + 2 + 61*b**3 to the form o*b**2 + l + u*b + y*b**3 and give l.
2
Express (1 + d**2 - 1)*(-15*d - 3*d - 5*d) + 0*d**3 - d**3 - d**3 as w*d**3 + k*d**2 + i + n*d and give k.
0
Express 0*o + 0*o - 2*o**3 + (-8 + 6 - 6)*(-o**2 - 2*o**3 + o**2) as p*o**2 + s + a*o**3 + h*o and give a.
14
Rearrange 2*d + 2*d + d**2 - d**2 - 2*d**2 to r*d + v*d**2 + h and give r.
4
Express (r + r + 0*r)*(-22 + 13*r + 22) in the form m + l*r**2 + f*r and give l.
26
Rearrange -274 + 274 - 23*s to f*s + l and give f.
-23
Rearrange (-1 - 1092*y + 508*y + 547*y)*(4 - 1 - 4) to l + j*y and give j.
37
Rearrange 8*c**3 + c**4 + 0*c**4 - 3*c**3 + 2 to the form p*c + l + i*c**2 + m*c**3 + g*c**4 and give l.
2
Express -6*k**4 + 2*k**4 + 2*k**4 + (2 - 2 + 1)*(-11*k**4 - 3*k**4 + 3*k**4) as x*k + i*k**2 + r*k**3 + u + v*k**4 and give x.
0
Express 1 + 1 - 12*p - 2 in the form a + o*p and give o.
-12
Rearrange 5*l**2 - l**2 + 7*l**2 to j + k*l**2 + s*l and give k.
11
Express -3*m - 21*m + 4*m in the form r*m + y and give r.
-20
Rearrange -8 - 14 + 22 + f to the form c*f + q and give c.
1
Express (1 - 2 + 2)*(-1 + 0 - 1)*(4*f + 7*f - 15*f)*(-7*f**3 - f**3 + 3*f**3) as o*f + l*f**4 + z*f**3 + c*f**2 + b and give l.
-40
Rearrange -g**2 - 130*g**4 + 133*g**4 - 2*g**3 + g + 8*g**2 to m*g**2 + h*g**3 + r + s*g + d*g**4 and give h.
-2
Rearrange -f**3 + 0*f**3 - 2*f**3 - f - 3*f to the form b*f + a + y*f**3 + p*f**2 and give y.
-3
Rearrange 120 - 9*b - 120 to the form u*b + f and give f.
0
Rearrange (4 + 1 - 2)*(4 - 4 - 2)*(0 + 3 - 4)*(29 - 93 + 45)*(0 + y + 0) to a + d*y and give d.
-114
Express -84*y + 53*y**2 + 84*y in the form q*y**2 + o + r*y and give q.
53
Rearrange -1 + j**2 + 2*j**4 + 3*j**3 - 7*j - 2*j**3 + 2*j**3 + 4*j to the form z*j**3 + g*j**4 + f*j + q*j**2 + d and give z.
3
Express 7*b - 4*b - 2*b as u*b + r and give u.
1
Express (2*a - 4 + 4)*(407*a - 407*a - 54*a**2) in the form p + n*a**2 + t*a + g*a**3 and give p.
0
Rearrange -2*q - 4*q**3 - 3*q**4 + 5*q**3 - q**3 + 2 to h*q**4 + w*q**2 + p*q**3 + l*q + r and give r.
2
Rearrange -w - 10*w**2 - 6*w**2 + w to the form d*w**2 + v*w + y and give d.
-16
Rearrange (-2*g**3 + 2*g**4 + 2*g**3)*(2 - 3 - 1) - g**4 - g**4 + 4*g**4 + 19*g**4 + 15*g**4 - 9*g**4 to the form d*g**2 + n*g**3 + r*g**4 + i + b*g and give r.
23
Rearrange 16*z + 9*z - z + 5*z to the form g + x*z and give x.
29
Rearrange 43 + 13*u - 19 - 19 to j*u + l and give l.
5
Rearrange x**3 + 15*x**4 + 1 + x**3 - 3*x**2 + 5*x**2 - 7*x**4 to the form p*x + y*x**4 + n*x**3 + o + f*x**2 and give n.
2
Express (26*g - 14*g - 64*g)*(0*g**2 - 2*g**3 + 0*g**2) in the form d + p*g + w*g**4 + k*g**2 + q*g**3 and give w.
104
Express (-4 + 4 - 2)*(-3 + 2 + 3)*(l - l - 3*l) in the form q + w*l and give w.
12
Rearrange 74 + 2*i**4 + i - 75 - 3*i to the form b*i + g*i**3 + j + m*i**2 + t*i**4 and give g.
0
Rearrange (-2*c - 5*c + 2*c)*(-2 - 6 + 5)*(3*c - 4*c + 0*c**2 + 2*c**2) to k*c**3 + f*c**2 + z + l*c and give f.
-15
Rearrange (-6*t + 5*t + 1 + 0*t - 4*t**2)*(-2*t**2 + 1 - 1) to j*t**2 + k*t**4 + y + d*t**3 + m*t and give j.
-2
Express (-750*k - 8*k**2 + 750*k)*(-2*k**2 + 3*k**2 + 0*k**2) + (0*k**2 + 2*k**3 + 0*k**2)*(5 - 5 - 2*k) as l*k**4 + t*k + q*k**3 + h*k**2 + n and give l.
-12
Rearrange 0 - 13 + 0 + 5*v - v to r*v + u and give r.
4
Express -4*p**3 + p**3 + 10*p**3 + (4 - 5 + 3)*(-2*p + p - p)*(0 + 2 - 4)*(-2*p**2 + 1 - 1) in the form h*p**3 + x*p + u + i*p**2 and give h.
-9
Express -5*q - 4*q + q - 7*q as a + k*q and give k.
-15
Rearrange -3*d - 22*d**2 - d + 4*d to n*d**2 + b + k*d and give n.
-22
Rearrange 2*m + 0*m**3 + m**3 - 5*m**3 - 6*m to y*m**2 + z + a*m**3 + v*m and give v.
-4
Express 4*q + 3*q - 4*q + (-4 + 3 + 2)*(0*q - q + 0*q) + (2 + 8 - 4)*(4*q - 4*q - 2*q) as h + u*q and give u.
-10
Express (2*q**2 - 1 + 1)*(-q - 2*q + 4*q) - 3*q**3 - 5 + 5 + 3 - 2*q**3 + q**3 + 2*q**2 + 1 in the form a*q**3 + p*q**2 + v*q + f and give f.
4
Express -2*m**4 + 1 + 0*m - m + m**3 + m**4 as t + q*m**3 + i*m + s*m**4 + d*m**2 and give i.
-1
Rearrange -2*b + b**4 + 0*b**4 + 2*b**2 - b**2 to j + o*b + x*b**3 + c*b**2 + u*b**4 and give c.
1
Express -2*c**2 - 13*c - 2*c + 14*c + 26*c**4 - 3 in the form h*c**2 + w + x*c**4 + u*c**3 + o*c and give o.
-1
Express 24 + 41*i - 24 in the form m*i + n and give n.
0
Rearrange (52 - 16 + 27 - 7)*(-21*n + 7*n**3 + 21*n) to the form z*n**3 + d + y*n**2 + j*n and give z.
392
Rearrange (-3*t + 0*t + 0*t)*(-2 + 1 + 2)*(70*t**3 - 10*t**3 + t**3) to v*t**3 + l + q*t**4 + b*t + g*t**2 and give q.
-183
Express -f**4 + 1858*f**3 - f + 0*f**4 - 1853*f**3 in the form h*f**2 + l + g*f + a*f**3 + k*f**4 and give a.
5
Express -45*f + 26*f - 36*f as a*f + l and give a.
-55
Express 0*b + 4*b - b**3 + b**2 - 3*b**2 as r*b + m + j*b**2 + y*b**3 and give r.
4
Rearrange (0*c**2 - 5*c**2 + 3*c**2)*(-20 + 79 + 18 + (1 + 2 - 5)*(-2 + 0 + 0))*(-3*c + 4*c - 3*c) to the form z + g*c**2 + y*c**3 + i*c and give y.
324
Rearrange (-2*r + r**3 + 2*r)*(11 + 19 + 25) - 6*r**3 + 3*r**3 + 2*r**3 to h*r**2 + n*r + x + j*r**3 and give j.
54
Rearrange (0*s + 0*s - 2*s**2)*(10*s - 4*s + s + (3 + 0 - 1)*(-1 + 1 - s) - 6*s + 3*s - 5*s) to the form u*s + p*s**3 + z*s**2 + n and give p.
6
Express -2*m + 4*m + 12*m + (1 + 3 - 3)*(2*m + 0*m + m) - 2*m + 3*m - 3*m + (-1 + 1 - 1)*(2*m + m - 4*m) as o + y*m and give y.
16
Rearrange (-d + 3*d + 2*d**2 - 3*d**2)*(-1 - 16 - 47) to the form u*d + m*d**2 + q and give u.
-128
Rearrange (-9 + q + 4 + 8)*(34 - 34 - 4*q) to the form l*q**2 + p + t*q and give t.
-12
Rearrange 4*o**4 + 4 - 2 - 3*o - o**3 + 3*o to v*o**4 + h + b*o + y*o**3 + z*o**2 and give y.
-1
Express -4*w**2 - 2*w**2 + w**2 + w**2 as f + a*w + p*w**2 and give p.
-4
Rearrange (-2*z + z + 0*z)*(-1 - 2 + 2) + 2*z + 0 + 0 - z + 2*z + z - 2*z - 4*z + 5*z + 6*z + 34 - 12 - 24 to b + k*z and give k.
10
Rearrange 2*u**3 - 2*u - 3*u - 3*u to k*u + q*u**2 + z + s*u**3 and give k.
-8
Express 0*a**3 + 0*a**3 + 3*a**3 + (6 - 3 - 1)*(-3*a**3 - a**3 + a**3) - 1 + 1 - 2*a**3 in the form w*a**3 + x + r*a**2 + i*a and give w.
-5
Rearrange (-3*u**3 + 2*u**2 - 2*u**2)*(1 + 2 - 1) + (-61 + 26 + 27)*(-2*u + 2*u - 2*u**2)*(u + 2 - 2) to the form w*u**3 + s + g*u + f*u**2 and give w.
10
Rearrange (-31 + 31 + 5*j)*(9 + 15 + 4)*(-3 - j + 3) to r + a*j**2 + v*j and give a.
-140
Express d - 9*d**3 + 2*d**3 + d**3 + 0*d**3 + 3*d**2 as k*d**3 + b*d**2 + v + f*d and give b.
3
Rearrange -3*d**4 + 2 + 12*d**3 + 5*d**3 - 7*d**3 - 5*d**2 + 4*d**2 - d to y*d**4 + u*d**3 + s*d + l*d**2 + b and give l.
-1
Express k - k - 2*k - 33*k + 38*k - 19*k + (-2*k + 2*k - k)*(-3 - 1 + 2) as v + q*k and give q.
-14
Rearrange (2*u + 0 + 0)*(-54 + 8 - 47) to b*u + k and give b.
-186
Rearrange (0*l - l + 2*l)*(-7022 + 7022 - 64*l**2) to the form b*l + d*l**3 + i*l**2 + x and give d.
-64
Express 3 + 0*i**2 - i**2 + 2*i**2 + i**2 in the form b*i + g + u
|
{
"pile_set_name": "DM Mathematics"
}
|
- 47 - -20?
-7
Evaluate (2 - 11) + (-10 - (-9 + (-2 - -2))).
-10
Evaluate (10 - (6 + -1)) + (-2 - 8) + -8.
-13
What is (-10 - 5) + 3 - (-1 + 0 - 1)?
-10
Calculate 1 + 1 - (-169 + 164).
7
What is the value of (8 - 13) + 25 + -15?
5
Evaluate -7 + -5 + (19 - (-5 - -11)) + 0.
1
What is 6 + -16 - (-6 + 7 - 0)?
-11
What is -3 - (-2 - -1 - (12 + -6 - 11))?
-7
-36 + -2 - (-203 + 186)
-21
593 + -616 + 1 + 19
-3
What is the value of 18 + (-12 - -14) + 10 + -16?
14
What is 11 - 14 - -6 - (1 + 5)?
-3
What is -6 + -3 + 0 - (1 - -4 - 14)?
0
What is the value of 14 + -1 + (-8 - (-6 - -27))?
-16
(-690 - -712) + (-1 - 9)
12
1 + 20 + -11 + -13
-3
-1 - 4 - (19 + -43 + (12 - 2))
9
What is -34 + 5 + 28 - (1 + -3)?
1
Evaluate 4 + (-10 + 4 - 4).
-6
What is -39 - (-26 - -5) - (1 - 9)?
-10
What is the value of 24 + -2 - (-23 - -28 - -4)?
13
(0 - (-26 - 1)) + 1 - (745 + -736)
19
Evaluate -14 + (28 - 7) - (0 + 17).
-10
What is the value of -26 - (-4 + (9 - -3) - 13)?
-21
Calculate 2 + 14 + (-82 + -26 - -71).
-21
Calculate 1 - (34 + -38 + (-1 - 3)).
9
Evaluate 6 - (6 + -10) - 20.
-10
Calculate -9 - (-2 + 0 + -3 + (26 - 32)).
2
What is the value of 17 - (-21 + 56 + 4)?
-22
3 + (1 - 0) + 9 + -30 + 0
-17
What is 7 - (-11 + -1) - 12?
7
What is the value of -1 + 0 + (-14 - (-42 - -15))?
12
15 + -20 + 21 + -28
-12
-13 + (24 - (33 + -14)) - 26
-34
What is (102 + -108 - (1 + (0 - 14))) + -6?
1
What is (-9 - -17 - 22) + 35?
21
What is the value of (-4 + -2 - (-22 - -18) - -8) + -9?
-3
Calculate (19 - (7 + -6 - -12)) + -28.
-22
What is the value of 3 + -1 + 1 - (10 + 7 - 24)?
10
Evaluate 199 + -218 + 6 + 0 - -11.
-2
Calculate -4 + (178 + -150 - (0 + 14)).
10
What is 7 + (15 - (5 + -3) - 10)?
10
9 - (0 - (15 + -26))
-2
What is the value of (-10 + 8 + -3 - 2) + -4?
-11
Calculate -17 + 2 - (161 - 195) - 4.
15
What is -14 - (-7 - (-7 - (15 + -3 + -6)))?
-20
2 + 1 - (12 + 1 - 0)
-10
24 - (3 + -15 - -23)
13
What is -831 + 825 - (-1 + -9 + -1)?
5
What is the value of -21 + (9 - (1 + 9 + -4))?
-18
5 + (-14 - 12) - -16
-5
4 - (-197 + 196 - (-5 + 1 + 0))
1
Evaluate -5 - -39 - (67 + -41).
8
4 - (-4 - 9 - -24)
-7
What is 2 + (-12 - (-5 - 2)) - -9 - 1?
5
What is the value of 4 - (25 - 8) - (14 + 0)?
-27
What is the value of (15 - 9) + -3 + -5 + 3?
1
(-1 - -9) + 264 + -259 - 14
-1
Evaluate (-3 - (1 + -6)) + (43 - 52).
-7
Calculate -1 + -5 + 22 + (7 + -3 - 1).
19
What is the value of -10 - (-29 - -5) - -2?
16
-7 + (17 - -3) + -21 + 15
7
(2 - (-36 + 20)) + (-1 - 14)
3
Calculate 2 - (13 - (-1 + (19 - 10))).
-3
What is the value of (6 - 5) + -4 - 6 - (-10 - -4)?
-3
What is the value of (8 + -15 - -7) + -6 + -1 + 5?
-2
Calculate (-1 - -9) + (20 - (49 + -17)).
-4
Calculate 19 + -13 - (1 + -1) - -2.
8
36 - (-5 + (0 - -5) + (14 - 7))
29
Evaluate -16 - (7 + -20 + (-4 - -11)).
-10
What is 6 - (12 - 12) - 19?
-13
Calculate 0 + 20 - (37 + -34).
17
Evaluate (1 + 5 - 12 - -5) + (1 - 0).
0
Evaluate 22 + -39 + 5 + 4.
-8
What is the value of 23 - 45 - (2 - 19)?
-5
0 - -4 - (-16 + 10)
10
What is the value of -3 + 8 - (-13 - -5)?
13
Calculate -17 + (8 - (3 + -2)) + 8.
-2
What is (2 + 1 - (59 - 46)) + -9?
-19
What is 10 + -12 + -6 + 19 + -3?
8
What is the value of (68 - 13 - 20) + -26?
9
-167 - -192 - (-4 + 2 + -1 + 2)
26
4 - (0 + -6 + (-7 - -22) + -38)
33
Evaluate (-12 - -1) + (-17 - (-6 - 18)).
-4
What is (-19 + 14 - (2 - -1)) + 20?
12
What is 6 + 3 + 0 + (38 - 9) + -53?
-15
(-38 - -45) + 41 - 34
14
Evaluate 0 - -5 - (4 - 7 - (-3 + 1)).
6
Evaluate 14 + -4 + -17 + -7.
-14
What is the value of -5 + 1 + 7 + (1 - 1 - 3)?
0
What is -3 + (10 + -6 - (-57 - -29))?
29
Evaluate 9 - (14 - (-12 - -12)).
-5
Evaluate -2 - ((3 - -1) + -4 + (4 - 3)).
-3
5 - (-6 - ((-9 - -1 - -1) + 3))
7
Evaluate 177 - 178 - (-32 - 1) - 14.
18
Evaluate -2 + 0 + (-6 - (-1 + (1 - 8))).
0
What is the value of -5 + (26 + -1 - 11) - 2?
7
What is -2 - (-9 + (-7 - -8 - -5)) - 9?
-8
Calculate (72 - 119) + (7 - -8).
-32
What is the value of 4 + 0 + (-8 + 4 - -3) - 10?
-7
Calculate (131 - 120) + (3 - -2).
16
What is the value of (-6 - (-34 - (19 - 30))) + -19?
-2
What is 4 + (5 - (29 + -9)) + 5?
-6
Evaluate (18 - 25) + -15 + 16.
-6
(18 - (4 + 8)) + -14
-8
What is the value of (-7 - 1) + -207 + 226?
11
Calculate -6 + (1 + -15 - 2 - (-128 - -119)).
-13
-9 + (2 - -15) + 35 - 9
34
Evaluate (2 + 2 - (0 - -1)) + 5 + -7.
1
6 - (13 + -3 + 1)
-5
Calculate 4 + 5 + -7 + -2 + -3 - -5.
2
What is 4 + (0 - -8) + (70 - 75) - -5?
12
What is the value of 12 - (-9 + 8 - -16)?
-3
Calculate -10 + (29 - 9) + -19.
-9
(-72 - -81) + -16 + -1
-8
What is -50 + 15 + 13 + 16?
-6
What is the value of (2 - -7 - -5) + -3?
11
What is (-10 - -11) + 7 + (23 - (-2 + 3))?
30
Evaluate 8 + 11 + -5 + -4 + -5.
5
What is the value of -20 + 12 + (-14 - -10 - 3)?
-15
What is 5 + 1 + (2 + -3 + 3 - -2)?
10
(1 - 2) + -7 - (-27 + (-1 - -16))
4
Calculate -1 - (-3 + (1 + -8 - (37 + -63))).
-17
-38 - (28 + (-12 - 52))
-2
Evaluate -7 - (9 - (32 - 13)).
3
What is (2 + -9 - -9) + -3?
-1
What is the value of 24 + -11 + -9 + -20?
-16
What is 9 - (10 - (2 - -4))?
5
What is the value of -18 + -6 + 2 - (-2 + 5 - 7)?
-18
Evaluate (5 + -4 + -4 - (1 - 2)) + 2.
0
Evaluate -3 + -1 - (39 - 12).
-31
What is (1 - 14) + (5 + 28 - 38)?
-18
(-4 - 0) + (17 - (15 + 12))
-14
Calculate -1 - (-1 - 30) - (4917 - 4925).
38
(2 - (-10 - -3) - 11) + (-4 - -1)
-5
Evaluate 19 - (26 - (-26 - -45)).
12
(4 + 3 - (23 + 3)) + (4 - 1)
-16
Evaluate (1 - 14) + (17 - (5 - -7 - 3)).
-5
(7 + 6 - 11 - 8) + 21
15
Evaluate 157 + -151 + -2 + 27 + -4.
27
Calculate 8 + (1 + (-2 - 0) - -2).
9
161 - 165 - ((-1 + 1 - -3) + -5)
-2
What is the value of -4 - ((-10 - -9) + (2 - 4)) - -9?
8
Evaluate (-18 + 14 + -4 + 10 - 7) + -4.
-9
Calculate -12 + (-14 - (-3 + -26)) - -13.
16
Calculate (-8 - 30) + 14 - -18.
-6
What is the value of -15 - (4 + (1 - 4) + -3 + -4)?
-9
(-2 - 2) + 4 + -2 + -6
-8
What is the value of (24 - 31) + 12 + -3?
2
What is (1 - -13 - (64 + -59)) + 4?
13
What is the value of 86 + -131 - (-25 - 2)?
-18
Evaluate -28 + (28 + -4 - 15) + 3.
-16
What is 0 + 17 + -21 + -11?
-15
What is 6 - 3 - ((17 - -8) + -29)?
7
What is -5 + (5 + -3 + 4 + -7 - -4)?
-2
-31 - (9 - 31 - -4)
-13
What is the value of -2 + 25 + -26 + -2?
-5
What is the value of -40 + (-11 - -11) + -4 + (0 - -6)?
-38
Evaluate -7 + 14 - -9 - (-4 + -5 + 7).
18
What is the value of (4 - (-5 + 6)) + 0 + -5?
-2
What is the value of (-1 - -8) + -6 + (1 + 0 - 6)?
-4
Evaluate (29 + -2 - 43) + -15.
-31
What is the value of 31 + -19 + 1 - 20?
-7
50 + 21 + -41 + -7 + 2
25
What is -1 + -5 - ((-21 - -52) + -31)?
-6
Calculate 173 + -169 + (-2 - 10 - 2).
-10
What is the value of (3 + 4 - 36) + 18?
-11
What is the value of -8 - (-7 + 28 + -14)?
-15
What is the value of (3 - 1 - -1) + (-423 - -425)?
5
Calculate 18 + 7 + 29 + -28.
26
Evaluate 56 + -65 - (-6 + -2 + 0).
-1
-18 - (-12 + 16 - 12) - (-1 + -4)
-5
What is the value of (-23 - (28 - 64)) + -1?
12
(11 - (-9 - (5 + (-3 - 2)))) + 0
20
Calculate -12 + (-9 + 1 - -35) + 2.
17
What is 9 - (-13 + 6 - 6 - -47)?
-25
What is -10 + (-1 + (6 - -3) - -14)?
12
What is the value of 2 - (-1 + 20 - (-19 + -3 - -21))?
-18
3 - -1 - (11 + (8 - (12 - 16)))
-19
-5 + 13 + 23 + -27
4
Evaluate -9 + (-2 - -17) + 0 + -9 + 0.
-3
Evaluate (-14 - -36) + 20 - 21.
21
What is the value of -3 + 1 - (-13 + 24 - (28 + -10))?
5
-46 + 21 - (-16 - -6)
-15
Evaluate -4 + (-5 - (-5 + -7)) + 9.
12
Evaluate 0 + -2 - (42 + (-38 - -5)).
-11
Calculate -4 + 2 + -1 + -4 - -15.
8
-6 + 2 - (26 - 36) - (-4 + 28)
-18
What is -7 + 11 + -9 + -11?
-16
What is -2 + 15 + 49 + -65?
-3
What is the value of -30 - (-3 + (-4 - -3)) - (-39 + 33)?
-20
What is the value of -1 - -8 - 1 - (3159 + -3124)?
-29
Evaluate (9 - 7 - -1) + (9 - 6).
6
12 + (-17 - (8 - 2))
-11
Evaluate (37 - 77) + 40 + -4.
-4
Evaluate -4 + (-18 - (-3 + (-1 - (1 + -4)))).
-21
24 + -19 + 16 - 15
6
Evaluate -25 + -10 + -10 + 30.
-15
Calculate 23 + -21 + 11 + -16 + -3.
-6
What is (-6 - 1) + 0 + 0 + 331 + -340?
-16
Evaluate (4 + 1 - 1 - 7) + (-7 - -12).
2
Calculate (-3 - -1 - (-23 + 14)) + -5 + -6.
-4
21 - (26 + (31 - 28))
-8
6 - 1 - (27 - (27 + -8))
-3
What is 9 + -13 + 12 + 1 + -8?
1
Calculate 10 + (7 - 3) + -14 + -1.
-1
Calculate 21 + (-6 - 15) - (1 + -11).
10
Evaluate -1 - (0 + 3) - (-60 + 46).
10
What is the value of (58 + -92 - -17) +
|
{
"pile_set_name": "DM Mathematics"
}
|
of 1/9, to the nearest integer?
4
What is the sixth root of 248481 to the nearest integer?
8
What is 904686 to the power of 1/3, to the nearest integer?
97
What is 690879 to the power of 1/6, to the nearest integer?
9
What is the eighth root of 106939 to the nearest integer?
4
What is the cube root of 136327 to the nearest integer?
51
What is 289163 to the power of 1/10, to the nearest integer?
4
What is the square root of 6616998 to the nearest integer?
2572
What is 710228 to the power of 1/2, to the nearest integer?
843
What is the square root of 224952 to the nearest integer?
474
What is the sixth root of 306440 to the nearest integer?
8
What is 5109947 to the power of 1/10, to the nearest integer?
5
What is the ninth root of 63152 to the nearest integer?
3
What is the third root of 1045015 to the nearest integer?
101
What is the square root of 341021 to the nearest integer?
584
What is the fourth root of 2028959 to the nearest integer?
38
What is 4054396 to the power of 1/3, to the nearest integer?
159
What is 149069 to the power of 1/2, to the nearest integer?
386
What is the tenth root of 6218864 to the nearest integer?
5
What is 795313 to the power of 1/7, to the nearest integer?
7
What is the third root of 586430 to the nearest integer?
84
What is the cube root of 195884 to the nearest integer?
58
What is the fourth root of 246140 to the nearest integer?
22
What is 1277613 to the power of 1/8, to the nearest integer?
6
What is 17659616 to the power of 1/2, to the nearest integer?
4202
What is the cube root of 5857849 to the nearest integer?
180
What is the ninth root of 8805 to the nearest integer?
3
What is the cube root of 727291 to the nearest integer?
90
What is 1192120 to the power of 1/9, to the nearest integer?
5
What is the square root of 18660094 to the nearest integer?
4320
What is the square root of 81946 to the nearest integer?
286
What is the ninth root of 596233 to the nearest integer?
4
What is the fourth root of 760077 to the nearest integer?
30
What is 134754 to the power of 1/10, to the nearest integer?
3
What is the cube root of 298980 to the nearest integer?
67
What is the square root of 173554 to the nearest integer?
417
What is 13642561 to the power of 1/6, to the nearest integer?
15
What is 3440718 to the power of 1/3, to the nearest integer?
151
What is 10881858 to the power of 1/2, to the nearest integer?
3299
What is the fifth root of 5220417 to the nearest integer?
22
What is 1681233 to the power of 1/7, to the nearest integer?
8
What is 455773 to the power of 1/2, to the nearest integer?
675
What is 27680853 to the power of 1/2, to the nearest integer?
5261
What is 10036289 to the power of 1/3, to the nearest integer?
216
What is 250641 to the power of 1/3, to the nearest integer?
63
What is 786558 to the power of 1/2, to the nearest integer?
887
What is the cube root of 1109149 to the nearest integer?
104
What is 358818 to the power of 1/3, to the nearest integer?
71
What is the third root of 2906 to the nearest integer?
14
What is 373065 to the power of 1/2, to the nearest integer?
611
What is the cube root of 168298 to the nearest integer?
55
What is the eighth root of 1569043 to the nearest integer?
6
What is the cube root of 118952 to the nearest integer?
49
What is the ninth root of 139515 to the nearest integer?
4
What is the third root of 2823684 to the nearest integer?
141
What is the third root of 440225 to the nearest integer?
76
What is the tenth root of 539746 to the nearest integer?
4
What is 103493 to the power of 1/6, to the nearest integer?
7
What is the ninth root of 6810001 to the nearest integer?
6
What is 7980906 to the power of 1/2, to the nearest integer?
2825
What is 351472 to the power of 1/3, to the nearest integer?
71
What is the square root of 49467 to the nearest integer?
222
What is 18260737 to the power of 1/2, to the nearest integer?
4273
What is the fourth root of 192494 to the nearest integer?
21
What is the seventh root of 3312642 to the nearest integer?
9
What is the cube root of 24521 to the nearest integer?
29
What is the square root of 351133 to the nearest integer?
593
What is the third root of 1174213 to the nearest integer?
105
What is the cube root of 3425248 to the nearest integer?
151
What is the square root of 9528331 to the nearest integer?
3087
What is the square root of 26798696 to the nearest integer?
5177
What is the square root of 1565645 to the nearest integer?
1251
What is 5458837 to the power of 1/10, to the nearest integer?
5
What is the seventh root of 14239421 to the nearest integer?
11
What is 4015307 to the power of 1/9, to the nearest integer?
5
What is 177963 to the power of 1/2, to the nearest integer?
422
What is 3228444 to the power of 1/2, to the nearest integer?
1797
What is 1097496 to the power of 1/3, to the nearest integer?
103
What is 1000803 to the power of 1/3, to the nearest integer?
100
What is the third root of 19326831 to the nearest integer?
268
What is 2472290 to the power of 1/8, to the nearest integer?
6
What is the seventh root of 223157 to the nearest integer?
6
What is 186418 to the power of 1/4, to the nearest integer?
21
What is the square root of 11828176 to the nearest integer?
3439
What is the square root of 38690128 to the nearest integer?
6220
What is 7486077 to the power of 1/3, to the nearest integer?
196
What is 1990809 to the power of 1/3, to the nearest integer?
126
What is the third root of 265586 to the nearest integer?
64
What is 95875 to the power of 1/8, to the nearest integer?
4
What is 1998000 to the power of 1/2, to the nearest integer?
1414
What is 343972 to the power of 1/10, to the nearest integer?
4
What is the ninth root of 1424362 to the nearest integer?
5
What is 457826 to the power of 1/3, to the nearest integer?
77
What is 513569 to the power of 1/3, to the nearest integer?
80
What is the ninth root of 323635 to the nearest integer?
4
What is 7694224 to the power of 1/8, to the nearest integer?
7
What is the fifth root of 1800390 to the nearest integer?
18
What is the third root of 8088689 to the nearest integer?
201
What is the square root of 4179640 to the nearest integer?
2044
What is the cube root of 23845 to the nearest integer?
29
What is the square root of 2935682 to the nearest integer?
1713
What is 1582588 to the power of 1/3, to the nearest integer?
117
What is the third root of 494732 to the nearest integer?
79
What is the sixth root of 8949924 to the nearest integer?
14
What is 117235 to the power of 1/3, to the nearest integer?
49
What is the square root of 471574 to the nearest integer?
687
What is the seventh root of 101670 to the nearest integer?
5
What is 460580 to the power of 1/3, to the nearest integer?
77
What is 2834586 to the power of 1/3, to the nearest integer?
142
What is the cube root of 3949000 to the nearest integer?
158
What is 12848317 to the power of 1/2, to the nearest integer?
3584
What is the square root of 558958 to the nearest integer?
748
What is 2159742 to the power of 1/3, to the nearest integer?
129
What is 6490373 to the power of 1/8, to the nearest integer?
7
What is the fourth root of 8534974 to the nearest integer?
54
What is 4563248 to the power of 1/9, to the nearest integer?
5
What is the third root of 21363 to the nearest integer?
28
What is 675671 to the power of 1/7, to the nearest integer?
7
What is 2401672 to the power of 1/5, to the nearest integer?
19
What is the cube root of 681901 to the nearest integer?
88
What is the square root of 431954 to the nearest integer?
657
What is 782787 to the power of 1/9, to the nearest integer?
5
What is the cube root of 2854932 to the nearest integer?
142
What is the cube root of 35665633 to the nearest integer?
329
What is the eighth root of 2218158 to the nearest integer?
6
What is the cube root of 2038378 to the nearest integer?
127
What is the square root of 815883 to the nearest integer?
903
What is the eighth root of 160731 to the nearest integer?
4
What is 5084772 to the power of 1/2, to the nearest integer?
2255
What is the cube root of 16310560 to the nearest integer?
254
What is the fifth root of 1050569 to the nearest integer?
16
What is the seventh root of 8847187 to the nearest integer?
10
|
{
"pile_set_name": "DM Mathematics"
}
|
-877*l - 194. Let t(a) = -14*d(a) - 11*z(a). Is t(v) prime?
True
Let f(x) = -133*x + 49. Let h be f(-6). Suppose -2*n + h + 889 = 2*t, 2 = -2*n. Is t composite?
True
Let d be 2 + (2 + -1)*-1 + 2. Let k be d*(1 + 0 + 0)/3. Let z(i) = 185*i**2 + 5*i - 5. Is z(k) a composite number?
True
Suppose 2*p + 3*f = 14, 6*p = 7*p + 4*f - 17. Suppose 2*c - 6*c = -20680. Is (2 - p)/(10/c) composite?
True
Suppose -66423 - 10009 = -16*t. Suppose -t = 14*b - 21759. Is b prime?
True
Let b(q) = 200*q - 345. Let m be b(47). Suppose -1883 = 4*i - m. Is i prime?
False
Let j = 54618 + 2485. Is j composite?
True
Let v(l) = -l**2 - 13*l + 24. Let j be v(-7). Let u = j + -9. Suppose -444 + u = -3*d. Is d a composite number?
True
Let v(d) = -68697*d**3 + 6*d**2 + 8*d - 1. Is v(-2) prime?
False
Suppose -5 = -p, 0 = -7*r + 5*r - 10*p + 2956168. Is r composite?
True
Is 258180/24*164/5 + 1 a prime number?
False
Let u be (-3138)/(((-18)/(-6))/3). Let s = 5621 + u. Is s a prime number?
False
Let b(t) = -2*t**3 + 37*t**2 - 69*t + 1079. Is b(-48) a prime number?
True
Let v(q) = q**3 + 7*q**2 - 9*q - 9. Let o be v(-8). Let l(p) = 3713*p**2 + 6*p + 2. Is l(o) prime?
True
Suppose 1705349 = 5*a - 3526*q + 3527*q, -2*q - 12 = 0. Is a prime?
False
Let a(m) = -m**3 + 25*m**2 - 17*m + 5. Let b be a(18). Suppose 14*l = -b + 19649. Suppose -3*q = -4*o - 0*o - 3833, -q = -5*o - l. Is q a composite number?
False
Suppose 29946 = 4*l - 24043 - 607. Is l a prime number?
True
Let b = 4034 + -2234. Let l = -1022 + b. Is l a composite number?
True
Is (-22)/(((-8)/(-14))/(91274/(-329))) composite?
True
Let v be 8/(-6) + 2 + 76311/27. Let s = -16885 + v. Is s/(-30) - (-2)/5 a prime number?
False
Let d(b) = 303*b**3 - 69*b**2 + 836*b + 5. Is d(13) composite?
True
Suppose 570179 = 4*g - 3*x - 28330, 2*x = -5*g + 748165. Is g prime?
False
Let f(l) = -l**2 + 2*l + 2863. Suppose -5*v - 4*a = -10, -1 = -4*v + a + 7. Suppose 0*x + 8*x = -v*x. Is f(x) prime?
False
Let s = -98 - -109. Let h(l) = l**3 + 20*l + 12. Let u be h(s). Suppose 928 = 5*m + 2*b - u, -3*m - 2*b = -1493. Is m a composite number?
False
Let l = 1512 + 226. Let b be (2 - 1 - 0)*17. Suppose -b*d = -19*d + l. Is d composite?
True
Is 30/9 + 1450038/18 a prime number?
False
Suppose -20 = -4*v - g - 0*g, 2*v = 2*g + 20. Suppose q + c - 2736 = 0, 5*c + 8248 = 9*q - v*q. Is q prime?
True
Let f = 17 - 11. Suppose 3*p = n - f*n - 8, -2*p - n = -4. Suppose 3*o = -5*t + 1440, 4*t + p*o - 1139 = -o. Is t prime?
False
Let k = 394899 + -185152. Is k a prime number?
False
Let b be (22/4)/(2 + (-6)/4). Suppose -11 = -3*q - z, b*q + z = 6*q + 19. Suppose 0 = n - 3*s - 413, 4*s = q*n + 3*s - 1685. Is n prime?
False
Suppose 3575*q = 3576*q - 5. Suppose 2*d + 9436 = 2*r, -q*r - 5*d + 2*d = -23614. Is r a prime number?
True
Let o(a) = -2*a**2 + 31*a + 18. Let g be o(16). Is 334 + g/(4/6) a composite number?
False
Let v(r) = 63*r - 125. Let h(d) = 126*d - 251. Let p(j) = 4*h(j) - 9*v(j). Is p(-34) a prime number?
False
Let d = -5 - -8. Let r(n) be the second derivative of 6*n**3 + 11*n**2/2 - 146*n. Is r(d) composite?
True
Let t = -76 + 80. Let z be 3238/((-3 + t)*-1). Let j = -201 - z. Is j a composite number?
False
Let b be (25421 - -4) + 2*3/2. Suppose 0 = 15*l - 41787 - b. Is l a prime number?
True
Let r be ((-93)/(-6))/((-1)/(-94)). Suppose -5*f = -5*y + 10815, -5*y + 9342 = 3*f - r. Is y composite?
False
Let t be 18*1*(-82)/((-14)/(-7)). Let y be (-8575)/(-14)*4/2. Let u = y + t. Is u composite?
False
Let x(l) = 152*l**2 + 12*l - 427. Is x(28) prime?
False
Let r(l) = 55*l**2 + 10*l + 29. Let u be r(-7). Let z = 5511 - u. Is z a composite number?
False
Suppose 0 = y - 5*c - 84584, -3*y - 5*c + 0*c = -253732. Suppose -y = -26*b + 41131. Is b prime?
False
Let c(z) = -74*z + 2. Let y be c(2). Let q be (35938/340 + 28/10)*1*2. Let i = q + y. Is i a composite number?
False
Suppose -300*j + 12683877 = -125911744 - 51039479. Is j composite?
False
Let c(h) = 7464*h + 4175. Is c(8) a composite number?
True
Let b = 34281 + -22062. Is b a composite number?
True
Suppose 5*b - 84 = 11. Suppose -2*x - b = 5*m, -m = 5*x - 6*x + 8. Suppose -3*c + 4411 + 12736 = 4*y, -x*y + 12829 = -4*c. Is y composite?
False
Suppose -3*u = 5*z - 62, -5*z + 36 = -u - 30. Suppose a - 40978 = -z*a. Is a a prime number?
True
Let j(y) = 34*y**2 - 140*y + 441. Is j(48) composite?
True
Let z = 5573 - -277092. Is z a prime number?
False
Let o = 227216 + -66325. Is o a composite number?
True
Let y = -307219 + 611346. Is y a composite number?
False
Let h(i) = 2*i + 13. Let g be h(-9). Let p(t) = -66*t**3 - 4*t**2 - 9*t - 10. Is p(g) prime?
False
Suppose 0 = -3*d - 9, 12*r + d = 11*r + 197138. Is r prime?
False
Let a = -1942 + 4964. Let h = 4563 - a. Is h prime?
False
Let f = 107278 - -8553. Is f a composite number?
False
Suppose 0 = 21*r + 56*r - 1106085 - 7874348. Is r a prime number?
False
Let r(n) = 104*n**3 - 15*n**2 + 6*n + 22. Is r(5) a prime number?
False
Let s(p) = -88*p + 25. Suppose -3*g = g + 16. Is s(g) composite?
True
Suppose -n + 3*w - 6 - 3 = 0, -2*n = -4*w + 12. Suppose n = 2*p - 5*j - 17804 + 6068, -17629 = -3*p - 5*j. Is p composite?
True
Suppose 0 = -x - 2*x + 9. Suppose -r = -4*r - 7*r. Suppose r = x*i - 2*i - 157. Is i a prime number?
True
Let a be (172/215)/(4/(-10)). Is a - ((-69)/9 - 0)*405 prime?
False
Suppose 6*k + 93 = 111. Suppose -8338 = -k*h + 2159. Is h a prime number?
True
Let o = -1400 + -868. Let m = 7145 - o. Is m a prime number?
True
Let m(p) = p**2 + 17*p - 12. Let l be m(-15). Let s be l*((-32)/(-12) - 3). Let z(b) = -b**2 + 18*b + 6. Is z(s) a composite number?
True
Let k(p) = 12365*p + 1181. Is k(64) a prime number?
False
Suppose 7*y - 366 = 6*y. Suppose i - y = -5*a - 1333, 3*i - 2*a + 2884 = 0. Let w = i + 1371. Is w a composite number?
False
Let t be 9*1*(-8)/(-12) + -2. Suppose -4*l + 4*w + 2608 = 0, -5*l + 8*l - t*w = 1959. Is l prime?
False
Let v = -1822 + 5330. Let l = -1045 + v. Suppose 0 = -4*b - b - 4*u + l, 2*b = 5*u + 972. Is b composite?
False
Suppose 206065 = 6*b + 15*b - 5724482. Is b composite?
False
Suppose 7 = 2*l - i + 3, 0 = 3*i. Suppose -10 = -d + l*c, 3*d = -2*c - 3*c - 3. Suppose -6367 = -3*u - n, d*u = 2*u - 5*n + 4236. Is u a prime number?
False
Suppose 42*y = 25*y + 667981. Is y a prime number?
True
Let s = -76 - -83. Let t(h) = 2*h**2 - 2*h + 1. Let v(n) = -3*n**2 + n - 1. Let j(c) = -7*t(c) - 6*v(c). Is j(s) composite?
False
Suppose -5*a = 11 - 26. Suppose c + y = 922 + 338, -y = -a*c + 3776. Is c a prime number?
True
Suppose -2*k = 12*k - 56. Suppose -k*c - 1 = -o - 3*c, 3*c = -3. Suppose o*x + 5647 = x. Is x a prime number?
True
Suppose -3*d + 713610 = -3*i, 5*d - 431816 = 2*i + 757531. Is d a prime number?
False
Let u(k) = 29 - 12 + 6 + 4 + 296*k. Is u(17) composite?
False
Suppose 6 = -2*u - 0*u, -4*h - 7 = 5*u. Suppose -9*n + 5*n - 4*d = -24636, h*n - 12342 = 4*d. Is n prime?
True
Let l(s) = -3*s**3 + 3*s**2 + 12*s. Let m be l(4). Is (-4784913)/(-72) + (-2)/(m/(-6)) composite?
False
Is 484/363*(-30)/4 + 208377 a prime number?
True
Suppose 0 = -3012*j + 3015*j + 2*h - 5226955, 0 = -j - 2*h + 1742309. Is j a prime number?
False
Let z(k) = -39*k**2 - k**3 - 8*k - 43 + 0*k**2 + 20 + 3*k**3. Is z(22) a prime number?
True
Let n = -27 - -30. Let w(x) = 1990*x + 1. Is w(n) a prime number?
False
Suppose 0 = -5*g - 3*a + 723 - 117, 5*a = 4*g - 470. Let b = -122 + g. Is (674/4)/((-1)/b) composite?
False
Suppose -13505 = 5*g + 3*i, -i + 8104 = -3*g - 3*i. Let b = g + 5019. Is b a prime number?
False
Is (0 - -302)/((-172)/(-26402)) a composite number?
True
Suppose -894 - 970 = 4*b. Let u = 903 + b. Is u prime?
False
Let g be (-24)/(-9) + (-16)/(-48). Is (-509248)/(-28) + g/(-7) a composite number?
True
Suppose -199*t - 591 = -202*t. Suppose t*s = 202*s - 5035. Is s prime?
False
Let a = 28688 - 5539. Is a a prime number?
False
Suppose 66*p = 196127 + 2327045 + 3705842. Is p prime?
True
Let a(f) = 38 - 2*f + 0*f - 65. Let o be a(-14). Is 177/(o - 0)*(4 + -3) a prime number?
False
Let a be ((-2)/(-7))/((-3)/(-84)). Suppose 5*l = l - a. Is (2 + 4215/(-10))*l prime?
True
Let f = -70 + 74. Is 586*f*(-5)/(-20) a composite number?
True
Let d(x) = 43*x**3 + 3*x**2 - 1. Let m(h) = h**2 - 9*h + 20. Let q be m(6). Is d(q) composite?
True
Is (8/
|
{
"pile_set_name": "DM Mathematics"
}
|
-12). Suppose -a*x - 6 = 0, -47 = -3*p + 3*x - 14. Suppose -135 = -16*g + 11*g. What is the highest common divisor of g and p?
9
Let y(m) = 25*m - 140. Let d be y(8). Let a(b) = b**2 - 3*b + 9. Let u be a(6). Let o = u + -15. What is the greatest common divisor of d and o?
12
Let v = -31 + 79. Suppose -80 = v*q - 53*q. What is the highest common divisor of 16 and q?
16
Let a be (-4)/14 + -4*(-591)/42. What is the greatest common divisor of a and 16?
8
Suppose 2*g - 2 - 10 = 0. Suppose g*q + 2*n - 80 = q, -85 = -5*q - 3*n. Calculate the highest common divisor of q and 56.
14
Let y(s) = -55*s - 290. Let c be y(-8). Calculate the highest common factor of c and 18.
6
Suppose -98*i + 16929 = i. Calculate the highest common factor of 63 and i.
9
Let x be (205/(-4))/(-1 + 9/8). Let a = x - -592. What is the highest common divisor of 26 and a?
26
Let h be -32*1/(-5)*10. Suppose -h = -3*x + 17. Let l be (-5395)/(-250)*5 + (-1)/(-10). Calculate the greatest common factor of l and x.
27
Let c(g) = -2*g**3 + 32*g**2 - 2*g + 37. Let s(i) = -2*i**2 + 29*i - 23. Let a be s(13). Let j be c(a). What is the greatest common divisor of j and 15?
5
Suppose 3*v - 120 = 2*v - k, k - 3 = 0. Let i = 1 + -1. Let b = v - i. What is the greatest common divisor of 13 and b?
13
Let x(g) = g + 1. Let h(f) = 21*f + 5. Let c(n) = -h(n) + 4*x(n). Let k be c(-3). Let z = 72 - k. What is the greatest common factor of z and 88?
22
Let o be (-40)/100 - (-4592)/5. What is the highest common divisor of o and 108?
54
Let w = 916 - 846. What is the greatest common factor of w and 322?
14
Let b be 0 - (12/1 - 4). Let o be 3/(-6) - 116/b. Let r = -146 + 244. What is the greatest common factor of o and r?
14
Let q(h) = h**3 + h**2 + 79. Let i be q(0). Let t = i - 57. Calculate the greatest common factor of t and 22.
22
Let i = 33 + -11. Let y(p) = -2*p**3 - 11*p**2 - 19*p - 4. Let d be y(-5). Calculate the greatest common factor of d and i.
22
Let a be (330/(-9))/((-12)/234). Calculate the greatest common divisor of 55 and a.
55
Let h be 15/(-6) + 2 + 185/2. Calculate the highest common factor of 23 and h.
23
Let s be ((-11)/((-22)/(-16)) + 9)*70. Suppose -1 + 6 = -5*a. Let i be (0 + 35)*a/(-1). What is the greatest common factor of i and s?
35
Let j be (-10 - (-6 - -4))/((-8)/36). What is the greatest common factor of 4 and j?
4
Let c be 456/33 + (-4)/(-22). Let g = -7 + 49. What is the greatest common factor of c and g?
14
Suppose 2*w - 4*m - 12 = -4, -3*m - 7 = -2*w. Suppose 0 = 4*l + 3*x - 358, 178 = w*l - 2*x + 3*x. Calculate the highest common divisor of l and 11.
11
Let t be 25 - 2 - (4 - (4 + -1)). Calculate the highest common divisor of 6 and t.
2
Let z(u) = -u**2 - u + 7. Let f be z(-3). Let w be (0 - f - -161) + 0. Calculate the highest common divisor of w and 64.
32
Let k be (90/(-4))/(3/(-4)). Let q(s) = s**2 + 2*s + 2. Let i be q(6). What is the greatest common divisor of i and k?
10
Let k be 1/2 - 13/(130/(-15)). Calculate the highest common factor of 26 and k.
2
Let c(b) = 2*b + 1. Let x be c(3). Suppose -32*t + 30*t = -6, 44 = 5*r + 3*t. What is the highest common divisor of x and r?
7
Let m be 60/570 - (-207)/19. Let o be 2*(m/2 - 3). Let b = -1 - -46. What is the greatest common factor of b and o?
5
Suppose 0 = -2*k + 2*t - t + 23, k + 5*t + 16 = 0. Let o = k - -5. Calculate the greatest common divisor of o and 28.
14
Let i(d) = d**3 - 12*d**2 - 36*d + 133. Let o be i(14). Let m be (2/(-3))/(2/(-21)). What is the highest common divisor of o and m?
7
Suppose h + 9 = -3*h + 5*t, h + 5*t = 29. Suppose 0*b = -b - 3*x, 0 = b - 3*x. Suppose b = -4*k + 7*k - 24. Calculate the greatest common divisor of h and k.
4
Let p(q) = -3*q + 6. Let z be p(4). Let g = z - -32. Suppose 5*b - 2*b = 195. What is the highest common factor of g and b?
13
Let x(w) = w**3 + 3*w**2 - 3*w - 3. Let v be x(-2). Let j(g) = -25*g + v*g - 2 + 0. Let t be j(-5). Calculate the highest common divisor of 11 and t.
11
Let y(u) = -u**2 - 8*u + 6. Let h be y(-5). What is the greatest common divisor of 777 and h?
21
Let t = -3 - -5. Let j = -85 - -87. Calculate the highest common factor of t and j.
2
Suppose 19*q - 803 = 166. Calculate the greatest common divisor of q and 9.
3
Let j be 22/4*4/2. Let n = -48 - -23. Let u = n - -47. What is the highest common factor of u and j?
11
Let j = 50 + 175. What is the highest common divisor of 75 and j?
75
Suppose 38*v - 288 = -10*v. Suppose -q - 10 = -6*q. Suppose -4*g + q*b = -15 - 19, -4*g - 5*b = 1. What is the highest common divisor of v and g?
6
Let l(i) = 7*i - 7. Let j be l(6). Suppose 11*y + j = 16*y. What is the greatest common factor of y and 49?
7
Let h be 239 + (88/28 - 1/7). What is the highest common factor of 33 and h?
11
Let f(b) = -b**3 - 3*b**2 + 3*b - 3. Let u be f(-5). Let z = 38 - u. Calculate the greatest common factor of z and 24.
6
Let v(w) = 6*w + 17. Let u(c) = -c. Let o(z) = -3*u(z) - v(z). Let f be o(-7). Let h be 6*f/(-8) + 17. Calculate the greatest common divisor of h and 14.
14
Let d be 30/(-4)*(3 + (-153)/15). Let m(p) = 3*p**2 + 13*p + 9. Let b be m(-9). What is the highest common factor of d and b?
27
Suppose h = -2*h + 3*f + 9, -3*f - 23 = 4*h. Let m = h + 12. Let q be (-4 - -3)*3 + 5. What is the highest common factor of q and m?
2
Let o = 16 - 60. Let p be (1 + -5)/((-4)/o). Let j be 48/(p/(-16) - 2). What is the highest common factor of j and 8?
8
Let f(t) = -t**2 - 23*t - 37. Let y be f(-21). Suppose y*r - 2697 = -662. What is the greatest common factor of r and 37?
37
Suppose n + 3*d + 19 = 7, 2*n = -4*d - 14. Suppose -2 = -n*v + 2*v. Let p be 15/v*32/6. Calculate the highest common factor of p and 16.
8
Let v be 15*(3 + 10/(-3)). Let u be v/(7/14*3/(-12)). What is the greatest common divisor of 40 and u?
40
Let k be (-9)/(-6) + (-1)/(-2). Suppose 7*r - k*r = 115. Suppose 3*c - 95 = -r. What is the greatest common factor of 16 and c?
8
Let g = -125 - -63. Let h = g + 95. Calculate the highest common factor of 3 and h.
3
Let s be (-549)/(-6) - 4/8. Suppose 288 = 31*n + 71. Calculate the highest common divisor of s and n.
7
Suppose 25*g + 4 = 26*g. Suppose -3*y + 5*a + 50 = 0, 6 = g*y - 4*a - 58. What is the greatest common divisor of 135 and y?
15
Let d = 177 + -140. Suppose 4*a = -a + 370. What is the greatest common factor of a and d?
37
Suppose s = 4*c - 59, -c + 9 = -3*s - 3. Let h be -1*((0 - -3) + -9). What is the highest common divisor of c and h?
3
Let l be (3528/(-45) - (-2)/5) + 3. Let c be ((-4)/3)/(-2*(-5)/l). Calculate the highest common divisor of c and 30.
10
Suppose -13 = -k - 3*n, -4*k + 52*n - 48*n = -68. Let i be 58/6 - (-6)/(-9). Suppose -4*t = i - 41. Calculate the highest common factor of k and t.
8
Let b be 2/(-56)*-4 + (-2070)/(-63). Calculate the greatest common divisor of b and 132.
33
Let g be 2/9 + 749*(-2)/(-63). Let u(q) = -7*q**3 - 3*q - 2. Let y be u(-1). What is the highest common factor of y and g?
8
Let w = 170 + -162. Calculate the greatest common factor of 44 and w.
4
Let a(y) = 6*y**2 - 13*y - 10. Let d be a(3). Let c be (2 + 1)/((-1)/(-15)). What is the highest common divisor of c and d?
5
Let k = -13 + 15. Suppose t - 312 = -k*t. Let a = -23 + 36. Calculate the highest common divisor of t and a.
13
Let f be 6/(-4)*1*-4. Let o = 16 - 13. Suppose v + o = 2*v. Calculate the highest common factor of f and v.
3
Let t = -155 - -160. Calculate the highest common divisor of 65 and t.
5
Let c(q) = 7*q + 2. Let y be c(6). Calculate the highest common divisor of y and 55.
11
Suppose -s + 18 = 2*g, 2*s - 2*g - 32 = -4*g. Let b(q) = -q**2 - 53*q - 350. Let k be b(-42). What is the highest common divisor of s and k?
14
Suppose s = 2*s - 4, 4*f + 5*s = -4. Let z be -3*(f/9 - 0). Suppose -28*p + 25*p = -3. What is the highest common divisor of z and p?
1
Suppose 0 = 2*w + 2, 2*r + 3*w = 4*r - 19. Let b = 221 + 11. Calculate the highest common factor of b and r.
8
Suppose -4*s + 76 = 24. Let n = 12 + s. Suppose -2*c = 8, 4*f - 12 - 16 = 2*c. Calculate the highest common factor of f and n.
5
Let f = 20 - 15. Suppose 15 = v - 5*l, 12 = -f*v + 2*l + 110. Suppose g - v = -g. What is the highest common factor of g and 70?
10
Suppose -4*a + 23 = 7. Let q be 4*2/(-4) - a. Let z be 2/(-3) + (-172)/q. What is
|
{
"pile_set_name": "DM Mathematics"
}
|
form r + z*n + s*n**2 + x*n**4 + w*n**3 and give w.
50
Express -8*a**3 - 3847 - 3*a**2 + 4*a**3 + 3843 in the form w*a**2 + u*a + x*a**3 + h and give h.
-4
Rearrange -140 + 7*s**2 - 2*s**2 + 136 to i*s**2 + v*s + x and give i.
5
Express (4 + 5*r - 4)*(10 - 1 - 2 + (1 - 4 + 4)*(-3 - 2 + 2)) + (r + 4*r - 3*r)*(-1 + 4 - 1) in the form o*r + q and give o.
24
Rearrange -18 + 25 - 7 - 13*j to a*j + g and give a.
-13
Express 23*x**2 - 14*x**2 + 10*x**2 as s*x**2 + i + j*x and give i.
0
Express -3*c**2 + 3*c**4 + c**2 + 0*c**2 + 2*c**3 + 1 - 4*c**4 - 2*c as g*c**2 + v + i*c**3 + w*c**4 + j*c and give w.
-1
Rearrange (-2*n + 2*n - n**2)*(1 + 0 + 0)*(92*n - 116*n + 62*n) to v*n**3 + c + j*n**2 + x*n and give v.
-38
Rearrange -284*z - 15*z + 89*z to h*z + a and give h.
-210
Rearrange 67*d**2 + 28*d + d**4 + 3 - 3*d**4 - 2 - 66*d**2 + d**3 + 0 to r*d + z*d**2 + v*d**3 + o + y*d**4 and give r.
28
Express 2*k**3 - 2 + 10*k**2 - 13*k**2 - k - 4*k + 4*k**2 in the form t + g*k**2 + p*k**3 + z*k and give z.
-5
Rearrange 29*g + g**2 + 2 - 21*g - 8*g**3 - 5*g to v*g**3 + j + h*g**2 + w*g and give w.
3
Rearrange -2*z**4 + 2*z**4 - 6*z**4 + (6*z**3 + 11*z**2 - 11*z**2)*(-2*z - 4*z + 4*z) to the form f*z + p*z**2 + o*z**3 + v*z**4 + k and give v.
-18
Rearrange (29 - 74 - 18)*(-1 - 1 + 5)*(2*d + d - 5*d + (1 + d - 1)*(-3 + 2 - 1) - d + 5 - 5) to the form i + o*d and give o.
945
Rearrange 194*n**2 + 10657*n - 70*n**2 - 10657*n to x*n**2 + h + p*n and give x.
124
Express -3 + 16*r**2 - 15*r**2 + 348*r**3 + 1 in the form h*r + l*r**2 + f*r**3 + g and give g.
-2
Rearrange (t**4 - 2*t**4 + 2*t**4)*(-2 + 4 + 1 + (1 - 1 - 2)*(1 + 4 - 6) + 1 - 1 - 2) to l*t**2 + k + u*t**3 + w*t + s*t**4 and give s.
3
Rearrange -4*x**3 - x**3 + 3*x**3 + (-28*x + 28*x + 10*x**2)*(x + 3*x - 6*x) + 112*x**3 - 158*x**3 - 47*x**3 to the form t*x + d*x**3 + h*x**2 + n and give d.
-115
Express -h + 0 + 0 + (5 - 1 + 1)*(2 - 2 + h)*(-27 + 15 - 41) in the form m + a*h and give m.
0
Express 3 + 3*n**3 + 1 + 20*n + n**3 - n**3 - 4*n**3 as r*n**2 + x + y*n + f*n**3 and give y.
20
Rearrange 3*i**3 - 3*i**3 - 7*i**3 + (0*i**2 + 0*i**2 - 3*i**3)*(3 + 0 - 2) - 384*i + 13*i**3 + 384*i to a*i**3 + j*i**2 + w + k*i and give a.
3
Rearrange (11*f - 79*f - 26*f)*(6 - 1 - 2) to s*f + n and give s.
-282
Rearrange -l + l - 3*l + (3 + 1 - 2)*(l + 1 - 1) - l - 4*l + 6*l + (-2*l + 2*l - 3*l)*(3 - 1 + 0) to o*l + t and give t.
0
Express (15*v + 14*v - 15*v)*((-2 + 1 + 0)*(0 + 1 + 1) + 0 + 1 + 1 - 26 + 66 + 22) as m + z*v and give m.
0
Express 0*b**4 - 3*b**4 + 5*b**4 + (266*b - 2423*b**3 - 266*b)*(2 - 2 + 3*b) as x*b**3 + g + z*b**2 + q*b + c*b**4 and give q.
0
Express (3 + 2 + 2)*(4*j**3 - 2*j + 7*j - j) + (-1 + 0 + 2)*(-2*j**3 + 3*j**3 + j**3) in the form u + k*j**2 + v*j + c*j**3 and give c.
30
Express c**2 + c**2 - 3*c**2 + (-1 + 1 - c)*(4 - 4 - 2*c) + 26 + 14*c**2 - 26 + (-7*c - 3*c - 5*c)*(-3*c - 2*c - 2*c) as b*c**2 + m*c + j and give b.
120
Express 2459 - 2459 + 24*r**2 in the form n + h*r**2 + u*r and give u.
0
Express 5 - 215*t**4 - t**3 + 213*t**4 - 4*t**2 - 11*t - 5 as r*t**2 + p + f*t + n*t**3 + v*t**4 and give r.
-4
Express -2*f**2 - 486*f + 310 + 486*f + (1 + 2 - 2)*(1 + 2*f**2 - 1) + 5*f**2 + 0*f**2 - 3*f**2 in the form p + g*f + h*f**2 and give p.
310
Express 21*a**3 - 23*a**3 - 37*a**3 + (0*a + 2*a - 3*a)*(0*a - 3*a**2 + 0*a) in the form y*a**2 + m + f*a**3 + w*a and give f.
-36
Rearrange l**2 - 2 + 2 + (4*l - 4*l + 2*l)*(-2*l - 4*l + 5*l) - l + 3*l**2 + l + 5 - 6*l**2 - 5 + 28*l - 28*l + l**2 to y*l**2 + z + u*l and give y.
-3
Express (1 - 28*q**2 + 9*q**2 + 7*q**2)*(-7 + 27 + 1)*(q + 2*q - 2*q) as u*q**3 + p*q + b*q**2 + n and give u.
-252
Rearrange (-610 - 48*c + 610)*(-4*c + 1 - 1)*(-1 + 0 + 0) to v*c**2 + k + f*c and give v.
-192
Express 106*l + 100*l + 99*l - 303*l + 17*l**2 in the form n + q*l + x*l**2 and give x.
17
Express d**2 + 32 + d**3 - 8*d**3 - 33 - 24*d**3 in the form k + v*d + c*d**3 + f*d**2 and give f.
1
Rearrange 277 - 277 + 0*k**2 + 2*k**2 - 264*k to q*k**2 + g + t*k and give t.
-264
Express -4*o - 2*o - 2*o + (-4 + 2 + 0)*(-3*o + o + 4*o) in the form m + p*o and give p.
-12
Rearrange 195*n**2 + 0*n - 1 + 2*n**4 + n - n**3 - 144*n**2 to the form c + t*n + q*n**4 + l*n**2 + a*n**3 and give q.
2
Rearrange (2*h - 4*h - h)*(5 + 3 - 5)*(13 - 18 + 43) to the form i + o*h and give o.
-342
Express (3*v + 0*v - 4*v + 2)*(-31*v + 25*v**2 + 31*v) as f + b*v**2 + m*v + r*v**3 and give r.
-25
Rearrange 38*h**2 - 194*h**2 + 96*h**2 + (2*h - 3*h - h)*(-h - h + h) + h - h + 4*h**2 to the form q*h + k + a*h**2 and give a.
-54
Express -1 - 1 - 108*t - 78*t as l + g*t and give l.
-2
Rearrange -3957 + 3957 + 132*u to the form r*u + m and give r.
132
Express -3*d**3 + 3*d**3 + 2*d**3 + (-1 - 2 + 2)*(0*d**3 + 0*d**3 - d**3) + d**3 + 3*d**3 + 1 + 5*d**3 as f*d**2 + w + v*d + x*d**3 and give x.
12
Express 686 - m + 3*m**4 - 1373 + 688 - 4*m**4 - 31*m**3 in the form x + g*m + p*m**3 + f*m**2 + r*m**4 and give r.
-1
Rearrange 1154*o + 1116*o**2 - 1154*o + 3*o**2 + o**2 - 6*o**2 + (0*o + 0*o + o)*(-2*o + o - o) to the form k + l*o**2 + u*o and give u.
0
Rearrange (3*k - 3*k - 2*k**2)*(-k - k + k) - 572*k**3 + 914*k**3 + 326*k**3 + 1623*k**3 + 425*k**3 to the form c*k**2 + r*k + j*k**3 + p and give j.
2718
Express -27*h**3 - 7 + 15 + 19 - 17 as x*h + a*h**2 + r*h**3 + s and give s.
10
Express -12*w + 11*w - 13*w + 7 - 21*w - 9 + 2*w**2 as t + n*w + x*w**2 and give t.
-2
Express -216*z**2 - 6056*z + 6056*z as o + v*z + q*z**2 and give q.
-216
Rearrange (-3*g + 3*g + g**2)*(26 + 3*g - 22 + 5*g**2 - 7*g**2) to b*g**4 + r + m*g**3 + i*g**2 + q*g and give b.
-2
Express -66*i + 66*i + 3*i**3 - i**3 + 78 in the form t*i**2 + w*i + s*i**3 + a and give s.
2
Express (0 - 2 + 1 + (-1 - 2 + 4)*(2 - 5 + 2))*(-1 + 389*d + 344*d - 566*d) in the form x*d + p and give x.
-334
Rearrange 651*m - 136*m**3 - 648*m - 379*m**3 to the form q*m + a*m**2 + h*m**3 + n and give h.
-515
Rearrange (3 - 2 + 0 - 2*s)*(63*s + 140 - 140) - 2*s**2 + 5*s**2 - 4*s**2 to c*s**2 + w*s + z and give c.
-127
Express (8 - 2 + 12 - n**3)*(-5*n - 4*n - 3*n) as y + f*n + b*n**2 + z*n**4 + o*n**3 and give f.
-216
Rearrange (13 + x**2 - x**3 - 13)*(-3*x - 3*x + x) + (x + 3*x - 3*x)*(x**3 - 6*x**3 + 6*x**3) to p*x**4 + w*x + c*x**2 + a + z*x**3 and give z.
-5
Express (-3*f - f + 2*f)*(8 + 2771 - 116*f - 46*f + 161*f) as h*f + q*f**2 + u and give q.
2
Rearrange (-s - 3*s + 2 + 2)*(-s + 0*s + 2*s) + 12*s**2 - 76 + 76 to the form j + y*s + d*s**2 and give d.
8
Express 0*j**3 + 15 + 2*j**4 - 10*j**3 + 4*j**3 + 4*j**3 + 5*j in the form b*j + t*j**3 + c*j**2 + g + i*j**4 and give i.
2
Express 142 + 48 + 44 - z**2 + 2*z**2 in the form i*z + a*z**2 + k and give a.
1
Rearrange -59*i**2 - 69*i**2 + 126*i**2 + 152*i + 0*i**2 - i**2 + 0*i**2 + (-4*i + i + 2*i)*(0*i + 3*i - i) to s*i**2 + w + j*i and give j.
152
Rearrange -47*v**4 + 2 + 152*v**4 + 3*v - 55*v**4 + 2*v**3 - 47*v**4 + 2*v**2 to z*v + u*v**2 + q*v**4 + w + c*v**3 and give u.
2
Rearrange 7*j - 2 + 28*j - 6*j + 20*j to c*j + h and give h.
-2
Express 7*m + 13 - 5 + 17*m**2 + 5 + 12 - 16*m**2 as u*m + f + s*m**2 and give s.
1
Express (-2*f + 3*f - 2*f)*(-f - f - 12*f)*(1 + 2*f - 1)*(2*f - 2 + 2) in the form k*f**3 + c*f**4 + x + q*f + b*f**2 and give c.
56
Express -3*g**3 + 2*g - 674 + 132*g**2 - 130*g**2 + 510 as f*g**2 + y + a*g**3 + j*g and give a.
-3
Express t + 7*t - 2*t**3 + 0*t - 3*t as d*t + x*t**2 + b + s*t**3 and give d.
5
Rearrange 90*j**3 - 2*j + 13*j**2 + 8 - 86*j**3 - j**4 + 3 - 12*j**2 to the form r*j**4 + o*j**3 + s*j + k*j**2 + t and give t.
11
Express 419 - 648*k - 419 as o + c*k and give c.
-648
Rearrange 2 - 77*z - 97*z + 157*z to the form s*z + g and give s.
-17
Rearrange -52 + 14*k**3 - 79 + 142 to the form r*k**3 + w*k + y*k**2 + x and give w.
0
Express 0*g + 12*g**2 + g**2 + 2*g**2 + 0*g - 14*g in the form i*g**2 + y + o*g and give o.
-14
Rearrange -3*v**2 - 167 + 86 + 10*v + 80 to h*v + u + k*v**2 and give k.
-3
Express 64*h + 1107 - 1107 as o*h + a and give a.
0
Express 30*f + 23*f - 2 + 202*f in the form j + o*f and give j.
-2
Express -2 - 11*t**3 - 27*t**4 + 11*t**3 + 3237*t - 3238*t in the form c*t + u + s*t**3 + r*t**4 + w*t**2 and give u.
-2
Rearrange -31*x**3 + x**2 + 2918*x
|
{
"pile_set_name": "DM Mathematics"
}
|
= b**2 - 1650*b + 651075. Calculate i(653).
34
Let h(i) = -43*i**3 + 3*i**2 - 6*i - 2. Give h(3).
-1154
Let p(h) = -41*h**3 + 736*h**2 + 37*h - 15. What is p(18)?
3
Let v(g) = 635*g**2 + 49*g. Calculate v(1).
684
Let x(t) = 47*t + 3967. Determine x(-74).
489
Let i(b) = 3981*b - 8261. Give i(2).
-299
Let w(l) = l**3 - 55*l**2 + 184*l + 1053. Give w(51).
33
Let f(l) = l**3 + 90*l**2 + 1850*l + 1236. Give f(-59).
-3
Let y(r) = -16*r**2 - 630*r - 4278. What is y(-16)?
1706
Let b(z) = 6630*z + 86362. Determine b(-13).
172
Let m(g) = 256*g**3 + 7*g**2 - 71*g + 73. Determine m(1).
265
Let u(c) = c**3 + 792*c**2 + 152725*c + 2264. Calculate u(-460).
-36
Let h(x) = -216*x - 1450. Determine h(-9).
494
Let u(n) = 172*n**2 + 7790*n - 13814. Determine u(-47).
4
Let q(x) = -1903*x - 62717. What is q(-33)?
82
Let q(b) = 2203*b - 79285. Determine q(36).
23
Let f(r) = r**2 + 29726*r - 237939. Calculate f(8).
-67
Let h(f) = -6897*f - 6393543. Determine h(-927).
-24
Let d(p) = p**3 - 9*p**2 + 52505*p - 948037. Calculate d(18).
-31
Let s(w) = 876*w - 14019. Calculate s(16).
-3
Let m(v) = -2*v**3 + 38*v**2 + 146*v - 2985. Calculate m(16).
887
Let s(d) = -1901*d + 112217. Give s(59).
58
Let p(o) = o**2 + 685*o - 6244. Determine p(9).
2
Let m(c) = c**2 - 4*c - 83508. Calculate m(291).
9
Let a(k) = 31*k**2 + 1876*k - 4986. What is a(-63)?
-135
Let m(l) = 281764*l - 845470. What is m(3)?
-178
Let k(b) = 62*b - 675. Calculate k(6).
-303
Let f(i) = 510*i + 4749. Determine f(-6).
1689
Let p(j) = -3*j**3 + 113*j**2 - 639*j + 12551. Determine p(35).
-14
Let h(c) = 75*c**3 + 65*c**2 - 18*c - 13. Determine h(-1).
-5
Let v(q) = 6*q**2 - 149*q + 844. Calculate v(5).
249
Let m(s) = -2*s**3 - 4*s**2 + 58*s - 16. Calculate m(7).
-492
Let x(y) = -45*y**3 + 3*y**2 - 2*y + 19. Calculate x(3).
-1175
Let l(k) = -2458*k - 10070. What is l(-4)?
-238
Let r(w) = 430*w**2 - 5209*w + 637. Give r(12).
49
Let h(j) = -1282*j - 8937. Calculate h(-7).
37
Let v(p) = -26834*p + 268336. Calculate v(10).
-4
Let j(i) = i**3 + 6*i**2 - 134*i - 796. Give j(-6).
8
Let x(q) = 1212*q**2 - 41198*q - 346. What is x(34)?
-6
Let p(l) = -761*l - 86657. Calculate p(-113).
-664
Let a(i) = i**2 + 918*i + 7091. Determine a(-8).
-189
Let j(w) = -w**3 + 8*w**2 - 2*w + 120. What is j(0)?
120
Let r(c) = -c**3 - 30*c**2 - 237*c - 288. What is r(-11)?
20
Let g(i) = 52469*i + 891973. Calculate g(-17).
0
Let a(p) = 1851*p**2 - 127718*p - 112. Determine a(69).
-43
Let b(y) = 284*y - 9065. Determine b(31).
-261
Let f(h) = -8*h**2 - 182*h + 447. Calculate f(-25).
-3
Let f(g) = -g**3 + 228*g**2 + 60998*g - 3875. Determine f(386).
-15
Let c(g) = -41957*g + 545466. Calculate c(13).
25
Let o(v) = -v**2 - 19*v - 59. What is o(-12)?
25
Let r(j) = 6*j**2 - 10184*j - 81867. Determine r(-8).
-11
Let d(i) = -3*i**3 - 1212*i**2 - 1215*i - 57. Determine d(-403).
2361
Let o(z) = 2*z**2 - 45*z - 452. What is o(-6)?
-110
Let f(q) = -q**3 - 32*q**2 + 184*q + 4827. Give f(-31).
-1838
Let d(r) = r**3 + 36*r**2 - 1119*r - 38333. Determine d(-40).
27
Let g(t) = t**3 - 214*t**2 - 83522*t + 17873703. Determine g(214).
-5
Let c(z) = -543533*z - 1087070. Calculate c(-2).
-4
Let q(b) = 9*b**3 + 16*b**2 - 75*b - 36. Give q(5).
1114
Let i(d) = -d**3 - 13*d**2 + 484*d - 643. Determine i(-30).
137
Let p(i) = 558*i**2 + 69*i + 69. What is p(-1)?
558
Let u(j) = -j**3 - 60*j**2 - 735*j - 168. Give u(-43).
4
Let r(z) = -z**3 - 118*z**2 + 51*z + 6026. Give r(-118).
8
Let h(k) = -10199*k + 40813. Determine h(4).
17
Let g(c) = -c**3 - 10*c**2 - 1266*c - 7645. What is g(-6)?
-193
Let z(d) = d**3 - 196*d**2 - 2487*d - 1713. Calculate z(208).
159
Let g(c) = -143*c + 5375. Give g(38).
-59
Let n(q) = -6*q**2 + 91094*q + 546785. What is n(-6)?
5
Let m(l) = 46*l**2 - 900*l + 4436. What is m(10)?
36
Let y(n) = 2*n**3 + 10*n**2 - 888*n - 8085. Give y(-9).
-741
Let b(n) = -799540*n - 3198171. What is b(-4)?
-11
Let m(o) = o**3 + 2264*o**2 - 15740*o + 356538. Calculate m(-2271).
-9
Let m(v) = -5*v**2 + 1486*v - 77285. Determine m(230).
-5
Let q(b) = 2189*b - 26315. Give q(12).
-47
Let f(y) = -y**3 - 28*y**2 + 2014*y + 55063. Calculate f(-27).
-44
Let y(b) = 202*b**2 + 1981*b - 7905. Calculate y(4).
3251
Let u(n) = 2840*n - 17043. Determine u(6).
-3
Let h(r) = r**3 + 93*r**2 + 381*r - 244. Determine h(-5).
51
Let v(q) = -268*q - 40361. Calculate v(-151).
107
Let z(j) = -5*j**2 + 2043*j + 8032. Give z(-4).
-220
Let w(h) = 27*h + 4342. Determine w(-190).
-788
Let u(v) = 29*v**2 + 4249*v + 108624. Calculate u(-33).
-12
Let o(l) = 144*l**2 + 56036*l + 7780. Give o(-389).
0
Let l(c) = -8*c**3 + 16*c**2 - 26*c - 97. Calculate l(-5).
1433
Let b(g) = 7*g**3 + 53*g**2 + 284*g + 1337. Calculate b(-6).
29
Let m(d) = d**2 + 8314*d + 24937. Determine m(-3).
4
Let r(u) = -3*u**2 + 1927*u - 11574. Calculate r(6).
-120
Let n(z) = -54*z - 499. What is n(-30)?
1121
Let n(q) = 14*q**2 + 193*q + 125. Determine n(-18).
1187
Let l(a) = -7792*a + 841497. Calculate l(108).
-39
Let a(f) = -13*f**3 + 12*f**2 - 29*f + 12. Give a(4).
-744
Let g(y) = 3*y**2 + 24*y - 490. Determine g(10).
50
Let p(f) = 1516*f - 210730. Calculate p(139).
-6
Let a(q) = 2614*q - 5213. Determine a(2).
15
Let r(x) = -x**2 + 34*x + 1825. What is r(-30)?
-95
Let p(d) = d**3 - 107*d**2 - 816*d + 2052. What is p(114)?
0
Let w(n) = -26*n**3 + 2704*n**2 - 11*n + 1142. What is w(104)?
-2
Let x(q) = -2*q**3 - 134*q**2 + 9*q + 541. Calculate x(-67).
-62
Let i(n) = -1242*n + 619719. Determine i(499).
-39
Let m(h) = -44*h + 6237. Determine m(141).
33
Let f(o) = 4809*o - 57404. What is f(12)?
304
Let b(g) = 2*g**2 - 151*g - 73374. Determine b(233).
21
Let l(s) = s**3 - 209*s**2 - 671*s + 7744. What is l(212)?
324
Let x(c) = -c**3 + 18*c**2 + 137*c - 201. Give x(-7).
65
Let y(f) = -144*f + 46215. Determine y(320).
135
Let g(r) = 19*r**3 + 611*r**2 + 3062*r + 31. What is g(-5)?
-2379
Let f(m) = -m**2 + 539*m - 8386. What is f(16)?
-18
Let h(v) = 5*v**2 - 85*v + 261. Determine h(17).
261
Let n(r) = 25*r**2 + 324*r + 1604. Determine n(-5).
609
Let g(p) = p**2 - 324*p + 26320. What is g(162)?
76
Let h(m) = -6886*m + 702392. What is h(102)?
20
Let t(o) = -3975*o + 7839. Determine t(2).
-111
Let f(i) = -5299*i**2 - 137856*i - 2137. Calculate f(-26).
-5
Let h(n) = -517*n + 5499. Calculate h(12).
-705
Let g(w) = 54124*w + 920118. Give g(-17).
10
Let s(o) = 127*o**2 + 6035*o + 8879. Give s(-46).
1
Let d(c) = 5*c**3 - 11*c**2 - 228*c + 781. Give d(5).
-9
Let n(c) = c**2 - 69240*c - 623254. Calculate n(-9).
-13
Let t(l) = l**3 - 97*l**2 - 2486*l + 192389. Give t(103).
-15
Let x(u) = -431*u**2 + 9492*u - 163. Calculate x(22).
57
Let t(q) = -3*q**2 - 128*q + 54790. Give t(-158).
122
Let f(x) = 44*x**3 - 45*x**2 - 8*x - 4. What is f(4)?
2060
Let q(s) = -3325*s - 246053. Give q(-74).
-3
Let c(s) = -2*s**3 - 19*s**2 - 227*s - 4139. Give c(-13).
-5
Let y(h) = h**3 + 39*h**2 + 141*h + 87. Determine y(-35).
52
Let m(g) = g**2 - 252*g + 6391. What is m(29)?
-76
Let b(t) = 110*t**3 - 183*t**2 + 181*t + 2. What is b(1)?
110
Let z(m) = 2510*m + 868466. Give z(-346).
6
Let v(n) = -236*n + 2151. What is v(4)?
1207
Let k(p) = p**3 - 45*p**2 - 432*p - 221. Calculate k(53).
-645
Let k(b) = 563*b**3 - 60*b**2 + b + 1. Give k(2).
4267
Let i(f) = f**3 + 102*f**2 + 2313*f - 9. Determine i(-34).
-43
Let l(f) = 213*f + 2299. Determine l(-12).
-257
Let n(r) = -98*r**3 + 249*r**2 - 6*r - 3. Calculate n(-1).
350
Let m(c) = c**2 - 210*c + 5210. Calculate m(43).
-1971
Let t(b) = 39*b**2 - 928*b - 34. What is t(24)?
158
Let l(c) = 602*c - 5740. Calculate l(10).
280
Let t(q) = q**3 - 82*q**2 + 556*q + 153. Give t(8).
-135
Let o(d) = 2*d**3 + 37*d**2 - 696*d + 93. What is o(-30)?
273
Let z(q) = -q**3 - 150*q**2 + 317*q + 1975. What is z(-152)?
-1
Let l(r) = 3*r**3 - 62*r**2 + 191*r - 23. Give l(17).
45
Let o(j) = 13*j**2 + 794*j + 701. Give o(-61).
640
Let j(q) = -60*q**3 - 30*q**2 + 46*q + 50. Determine j(2).
-458
Let a(j) = -4*j**3 + 5*j**2 + 2026*j + 4044. Calculate a(-2).
44
Let j(b) = -b**2 + 3905*b - 39050. Determine j(10).
-100
Let d(g) = 28*g**2 + 166*g + 577. What is d(-5)?
447
Let i(r) = -2*r**2 + 1587*r - 204. Determine i(0).
-204
Let k(x) = -316*x - 10026. What is k(-31)?
-230
Let j(n) = -n**2 + 12*n + 66. Determine j(-18).
-474
Let s(g) = 15*g**3 + 530*g**2
|
{
"pile_set_name": "DM Mathematics"
}
|
i(m) + 4*u(m)?
m + 2
Let i(d) = -44*d**3 + 18*d**2 - 3. Let t(j) = -484*j**3 + 196*j**2 - 32. Determine 32*i(w) - 3*t(w).
44*w**3 - 12*w**2
Let s(d) = -4*d + 1. Let b(f) = 5*f - 1. Let u = 102 + -105. What is u*s(w) - 2*b(w)?
2*w - 1
Let n = -1104 - -1101. Let m(v) = -2*v**3 + 3*v**2 - 5*v - 2. Let f(u) = -u**3 + u**2 - 3*u - 1. Determine n*m(j) + 5*f(j).
j**3 - 4*j**2 + 1
Let f(p) = 4*p**3 - 6*p**2 + 6*p - 15. Let h(n) = -n**3 + n**2 - n. Calculate f(s) + 6*h(s).
-2*s**3 - 15
Let b(h) = -h**3 - 1. Let c(s) = -6*s**3 - 5*s**2 - 3. Determine -3*b(l) + c(l).
-3*l**3 - 5*l**2
Suppose -5*f - 4*r - 21 = -10*f, -4*f - 3*r - 8 = 0. Let b(i) = 6*i - 1. Let k(n) = -n + 1. What is f*b(t) + 5*k(t)?
t + 4
Suppose 47*r = 37*r - 110. Let p(h) = 8*h**2 - 2. Let l(c) = -15*c**2 + 4. Determine r*p(d) - 6*l(d).
2*d**2 - 2
Let c(h) = 232*h**2 - 7*h + 7. Let x(t) = t**2 - t + 1. Give -3*c(j) + 21*x(j).
-675*j**2
Let r(w) = 4*w + 1. Let p(n) = 12*n + 3. Suppose 0 = 7*q - 8*q + 3. Determine q*p(s) - 8*r(s).
4*s + 1
Let f(s) = -4*s**3 - 4*s**2 + 452. Let r(z) = -z**3 - 2*z**2. Determine f(i) - 2*r(i).
-2*i**3 + 452
Let q(a) = -a**3 - a**2 + a - 3. Let n(z) = z**2 + 2. Let j be (-5 - -4)/(-1)*-4. Let u be ((-1)/(-1))/(2/j). Determine u*q(p) - 3*n(p).
2*p**3 - p**2 - 2*p
Let g(b) = -22*b**3 - b**2 + b + 4. Let i(s) = -23*s**3 - s**2 + s + 3. Calculate 3*g(k) - 4*i(k).
26*k**3 + k**2 - k
Suppose 3*d - h = -11 + 1, 0 = 4*d + h + 25. Let p(v) = -3*v**3 - v**2 + 2*v. Let z(a) = a**2 + 0*a**3 - 2*a - a + 3*a**3. What is d*p(n) - 4*z(n)?
3*n**3 + n**2 + 2*n
Let g(w) = 11*w**3 + 11*w**2 - w - 8. Let b(c) = -21*c**3 - 19*c**2 + 2*c + 16. Determine -3*b(o) - 5*g(o).
8*o**3 + 2*o**2 - o - 8
Let b(i) = -12*i**2 - 6*i + 5. Let g(w) = -67*w**2 + 2*w - 3. Let x(n) = -59*n**2 + n - 2. Let d(r) = -6*g(r) + 7*x(r). Determine 4*b(o) - 5*d(o).
7*o**2 + o
Suppose -5*y - 20 = -2*g, 16*g - 18*g + 2 = -2*y. Let i(m) = 8*m + 5. Let s(j) = -15*j - 10. Determine y*s(a) - 11*i(a).
2*a + 5
Let i(n) = -n. Let a = -38 - -26. Let p be (a - -2)*(-4)/10. Let j(f) = -3*f**2 + 15 - 15 + p*f. Determine -4*i(v) - j(v).
3*v**2
Let c(w) = -13*w. Let n(o) = -16*o + 1. Calculate 6*c(m) - 5*n(m).
2*m - 5
Let j(a) be the second derivative of a**4/12 - a**3/6 - a**2/2 - 40*a - 1. Let z(w) = 6*w**2 - 6*w - 4. Determine -4*j(p) + z(p).
2*p**2 - 2*p
Let l(p) = -2*p - 1. Suppose 26 = 9*k + 4*k. Let i(c) = 34 + k*c - 20 - 12 - c. Calculate 2*i(s) + 3*l(s).
-4*s + 1
Let u(i) = i + 8*i - 10 + i. Let b(z) = 3*z - 12 - 9 + 3 + 15. What is 14*b(m) - 4*u(m)?
2*m - 2
Let k(u) = 3*u**2 - u. Let a be (-322)/3703 - ((-42)/(-46) + 2). Let m(v) be the second derivative of v**4/4 - v**3/6 + v**2/2 - 3*v. What is a*k(c) + 2*m(c)?
-3*c**2 + c + 2
Let a(f) = 10*f**2 + 11*f + 11. Let y(m) = 2*m**2 + 2*m + 2. Determine -6*a(j) + 33*y(j).
6*j**2
Let q(j) = -12*j**3 - 7*j**2 - 6*j. Let a(s) = -23*s**3 - 12*s**2 - 12*s. Give 4*a(o) - 7*q(o).
-8*o**3 + o**2 - 6*o
Let q(z) be the third derivative of z**6/30 + z**5/10 - 43*z**2 - z. Let h(s) be the first derivative of -3*s**4/4 - 5*s**3/3 + 1. Determine 6*h(k) + 5*q(k).
2*k**3
Let r(h) = -h**3 + 31*h**2. Let b(v) = -v**2. Calculate -3*b(w) - r(w).
w**3 - 28*w**2
Let t(v) = 252*v**2 + 2*v + 2. Let m(r) = 6*r**2 + 2*r. Calculate -2*m(x) + t(x).
240*x**2 - 2*x + 2
Let i be -4 - -10 - 315/54. Let w(j) be the third derivative of -1/24*j**4 + 0 + 7*j**2 - i*j**3 + 0*j. Let f(q) = 2*q**2 + 3*q + 3. What is -f(z) - w(z)?
-2*z**2 - 2*z - 2
Let w(j) = -4*j**3 - 7*j**2 + 5*j + 29. Let p(c) = 11*c**3 + 20*c**2 - 14*c - 87. Give -6*p(s) - 17*w(s).
2*s**3 - s**2 - s + 29
Let s(z) = 23*z + 8. Let q(r) = -11*r - 3. Calculate -9*q(x) - 4*s(x).
7*x - 5
Let c(k) = -12*k - 4. Let i(f) = 4*f + 1. Let b(h) = 5*c(h) + 14*i(h). Let n(v) = 5*v + 7. Let o = -458 + 451. Determine o*b(m) - 6*n(m).
-2*m
Let m(l) = l**3 - 3*l**2 + 4*l - 80. Let b(p) = -p**3 + 5*p**2 - 7*p + 160. Calculate 3*b(i) + 5*m(i).
2*i**3 - i + 80
Let k(y) = 3 + 16*y - 30*y + 13*y. Let j(f) be the second derivative of -f - 3*f + f**2 + f. Calculate 3*j(v) - 2*k(v).
2*v
Let z(l) = -5 + 18 + l - 9. Let c be z(-5). Let y be (6 + -2)/(2 - 0). Let u(q) = -2*q**2 - 2*q - 2. Let m(j) = -j**3 - j**2 - j. Determine c*u(r) + y*m(r).
-2*r**3 + 2
Let y = 133 + -137. Let g(z) = 8*z**2 + 5*z - 8. Let i(n) = -3*n**2 - 4*n - 3. Let l(a) = 2*a**2 + 3*a + 3. Let w(x) = -5*i(x) - 6*l(x). Give y*g(v) + 11*w(v).
v**2 + 2*v - 1
Let g(d) be the first derivative of d**2/2 + 299. Let r(a) = -2*a**2 + 3*a - 1. Let j = 6 - 5. What is j*r(z) - 5*g(z)?
-2*z**2 - 2*z - 1
Let n(w) = -w + 1. Suppose -q + 3*o = 9, 3*q - 35*o = -34*o + 5. Let u(p) = -2*p**3 + 4*p - 4. Give q*u(l) + 12*n(l).
-6*l**3
Let z(i) = 20*i + 35. Let x(j) = -27*j - 34. Give 3*x(k) + 4*z(k).
-k + 38
Let h(n) = -17*n + 11. Let q = 98 + -89. Let l(v) = 8*v - 5. Give q*l(y) + 4*h(y).
4*y - 1
Let j(z) = -z**2 - z. Let k(g) = 6*g**2 - g + 2. Let x(h) = h**3 - 7*h**2 - 121*h + 11. Let u be x(15). Give u*j(v) - k(v).
-2*v**2 + 5*v - 2
Suppose 22*g = -249 - 103. Let m(v) = -10*v**2 + v. Let i be m(-1). Let h = g - i. Let q(o) = -2*o. Let w(z) = -3*z. What is h*q(y) + 4*w(y)?
-2*y
Let w(g) = -3*g**2. Suppose -3*x = 4*a - 32, 5*x + 2*a - 73 = -29. Suppose x*b - 4*b = -40. Suppose -3 = 4*v + 13. Let p(n) = n**2. Determine b*p(d) + v*w(d).
2*d**2
Let w(z) = 5*z + 5. Let o(u) be the second derivative of u**6/360 + u**5/40 - 13*u**4/6 - 12*u. Let d(t) be the third derivative of o(t). Give 5*d(h) - 3*w(h).
-5*h
Let v(s) = 2*s - 1. Let w(l) = -64*l + 5. Calculate -3*v(t) - w(t).
58*t - 2
Let v(i) = 9*i. Let a(s) = 20*s - 117. Let b be a(6). Let m(d) = 8*d. What is b*m(k) - 2*v(k)?
6*k
Let q(c) = -8*c - 1. Let p(o) = -o. Let u be (-3)/3*(-8 - -1). Suppose 0*x = -u*x - 42. Let y = 0 + x. What is y*p(z) + q(z)?
-2*z - 1
Let f(d) be the first derivative of -4*d**3/3 - 2*d**2 - 3*d - 58. Let q(a) = 17*a**2 + 17*a + 13. What is 9*f(t) + 2*q(t)?
-2*t**2 - 2*t - 1
Let w be (10/15 + -1)*-39. Let v(a) = -134 - 9*a + w*a**2 + 135 - a. Let m(r) = -4*r**2 + 3*r. Give -7*m(z) - 2*v(z).
2*z**2 - z - 2
Let n(u) = 3*u + 5. Suppose 4*x - 2*i + 22 = 0, 4*i - 29 + 13 = x. Let k(s) = -7*s - 11. What is x*k(g) - 9*n(g)?
g - 1
Let d(x) = -5*x**3 + 6*x**2 - 3. Suppose -16*i = 64 - 32. Let g(j) = 4*j**3 - 6*j**2 + 2. Determine i*d(q) - 3*g(q).
-2*q**3 + 6*q**2
Let a(w) = -1707*w**3 + 8*w. Let l(r) = 1138*r**3 - 5*r. Calculate 5*a(q) + 8*l(q).
569*q**3
Let v(o) = 26*o**2 + 51*o - 15. Let c(k) = 5*k**2 + 10*k - 3. Determine 11*c(p) - 2*v(p).
3*p**2 + 8*p - 3
Let p(l) = -2*l - 2. Suppose a = 4*a - 4*g + 8, 4*a - 26 = -2*g. Suppose -12 = -a*f - 2*f. Let h = -31 - -22. Let u(b) = -8*b - 8. Determine f*u(d) + h*p(d).
2*d + 2
Let t(h) = 12*h + 7. Let l(n) = -6 + 11*n - 4*n + 8 - 1 - 6*n. Give 5*l(j) - t(j).
-7*j - 2
Let n(u) = -21*u + 0*u**2 + u**2 - 3*u**2 + 22*u. Let x(h) = 3*h**2 - h - 1. Give -5*n(i) - 4*x(i).
-2*i**2 - i + 4
Let q(i) = 42 + 2*i - 10 - 14 - 12 + 0*i. Suppose 3*d + 6 = -2*y, 0 = -3*y - 3*d - d - 7. Let x(a) = a + 5. Suppose -2*o + 4 = -3*o. Give o*x(u) + y*q(u).
2*u - 2
Let y(k) = 4*k - 4. Let m(o) = -2*o + 3 - 5*o - 5*o + 8*o. Let x be m(2). Let t(q) = 6*q - 6. Determine x*t(s) + 7*y(s).
-2*s + 2
Let g(s) = s. Let o(w) = -16*w + 14*w + 5 + 5*w - 4. Let i(x) = 3*x**2 + 2*x - 1. Let p be i(1). Give p*g(k) - o(k).
k - 1
Suppose 5*l - 9*l + 24 = 0. Let i(x) = -x - 8. Let d(s) = -1. Let o(k) = -4*d(k) + i(k). Let p(m) = -m - 3. Calculate l*p(b) - 5*o(b).
-b + 2
Let p(y) = 628*y**3 + 3*y**2 - 3*y - 6. Let z(g) = 629*g**3 + 4*g**2 - 4*g - 8. Calculate -4*p(n) + 3*z(n).
-625*n**3
Let k(z) = -z + 16. Let a(d) = -1. Determine 2*a(y) - k(y).
y - 18
Let m(f) = -9*f**2 - 6*f - 11. Let d(p) = 4*p**2 + 3*p + 5. Give 7*d(c) + 3*m(c).
c**2 + 3*c + 2
Let g(w) = -5*w**2 - 2. Let p(x) = -6*x**2 - x - 3. Suppose 0 = 2*u - y - 1, -y - 21 = -3*u - 6*y. Determine u*p(f) - 3*g(f).
3*f**2 - 2*f
Let h(b) = b - 2. Let v(j) be the third derivative of j**4/6 - 7*j**3/6 - j**2. Let r be 4/12 + (-124)/(-6). Determine r*h(c) - 6*v(c).
-3*c
Let c(d) = -4*d**3 + d - 3. Let f = 181 - 177. Let n(x) = 5*x**3 + 4. Determine f*c(q) + 3*n(q).
-q**3 + 4*q
Let h(p) = -p**2 + 23*p**2 + 20 - 2*p**2 + 17*p. Let x(d) = -7*d**2 - 6*d - 7. Let c be ((-20)/2 + 9)/(2/34). Deter
|
{
"pile_set_name": "DM Mathematics"
}
|
he same value?
False
Suppose 84 = -5*m + 24. Let j = 81 - 66. Let k = m + j. Which is smaller: k or 18/5?
k
Let f = 0.28 + -32.28. Let m = f + 34.6. Let y = 2 - m. Does -2/5 = y?
False
Suppose 591 + 434 = 5*o. Let i = 2133/5 - 221. Let f = i - o. Which is smaller: f or -0.1?
-0.1
Suppose 3*m = -3*d - 486, 0 = -3*d + d + 4*m - 312. Which is smaller: d or -158?
d
Let v(u) = -u**3 - 6*u**2 - 3*u + 1. Let s be v(-5). Let m = s - -10. Let f be (18/(-15) + 1)*m. Which is bigger: f or 1?
1
Let j = -24563.2 + 24563. Let w be (1 - 1) + 1 + 2. Is w <= j?
False
Let c = -22 + 26. Let o(r) = -r**3 + 3*r**2 + 6*r - 9. Let b be o(c). Is b greater than or equal to 2/13?
False
Let v(j) = 7*j - 21. Let t be v(7). Let p = 13 - 7. Let h be p/(-9)*t/(-21). Which is bigger: 1 or h?
1
Let n = -55 - -59. Suppose -2*x - x = c + 5, 0 = -2*c - n*x - 8. Which is smaller: -8/7 or c?
c
Let m be 6/3 + 1 + 1. Suppose -5 = -3*f - 4*s, 7 = 3*f + m*s + s. Let v = f + 5. Which is greater: 5 or v?
5
Let y be -14 - (2 + 1)/((-27)/18). Which is greater: y or 1?
1
Let r be (-4)/(-24) + 2/(-3). Suppose 10*c - 73 = 5*d + 7*c, 0 = 3*d + c + 55. Is d at most as big as r?
True
Let m be (-15)/(-436)*(-33)/(-99). Is 0 < m?
True
Let x = 35 + 7. Let j be (2 - 1) + (x - 3). Let d be ((-3)/6)/(4/j). Is d <= -6?
False
Let s be (-4)/(-42) - (-13)/(6552/(-1952)). Are s and -4 equal?
False
Let z = 2.22 - 3.22. Is 47 less than z?
False
Let f = 2.15 + -0.15. Let d = f + -3. Let y = 273/2 + -3019/22. Are y and d non-equal?
True
Suppose -c = -5, 2*c - 7*c = -3*q + 275. Suppose -10*s + q = -15*s. Which is greater: -23 or s?
s
Suppose -4*y + 2*r = -2*r + 4, 25 = 3*y + 4*r. Suppose -8*m - 5 = -y*m. Let t be (-9)/(-6)*(-4)/(-27). Which is smaller: m or t?
m
Let d = 644 + -753. Is d != -108?
True
Let z = 20 + -11. Let y be (3/4)/(z/(-16)). Does y = 2/3?
False
Suppose l + 5*l = 12. Let c be 18/15*5/l. Let z be (-2 + c)*1/1. Is z at most as big as 0?
False
Let d = -8/103 + -166/515. Let h = 2.2 - 4. Which is greater: h or d?
d
Let a = 31.4 - 30.6. Does 0.02 = a?
False
Let h = -5440 + 5439. Let a = -39/20 - -85/44. Which is greater: a or h?
a
Let x = -3 + 6. Let k be ((-3)/(-6))/(x/(-24)). Which is bigger: k or -5?
k
Let s be 4/(-12)*-6 + -78. Let o = 530/7 + s. Which is greater: 0.5 or o?
0.5
Let u(s) = s**2 + 6*s - 7. Let i be 21*((-10)/3 - -3). Let m be u(i). Suppose 5*z + 18 = -2*r - m*r, 12 = -4*r + 2*z. Which is smaller: 3 or r?
r
Let k = -350 + 350. Let g be 4/40*(-5)/(-2). Which is smaller: k or g?
k
Suppose 5*g - 30 = 40. Let v be 25/7 + 42/g. Which is greater: v or 7?
7
Let y = -12 + 0. Let s be y/(-18) + (-2)/12. Which is smaller: 6 or s?
s
Suppose -66*z = -70*z - 224. Which is bigger: -59 or z?
z
Suppose -4*q - 11 = -3*y, -3*q = -4*y + 1 + 9. Let w = 606341/239 + -2537. Let l = -201/4541 + w. Is l > y?
False
Let w = 1 - 0. Let u = -297/455 - -7/13. Which is smaller: u or w?
u
Let l be 6592/42 + (0 - 2/(-6)). Let c = 157 - l. Is c < 0?
True
Let g = 0.23 + -41.23. Let a = g - -40.9. Is a bigger than 27?
False
Let v be (-1)/14*(-397 + -4). Let d = v - 59/2. Which is smaller: -2 or d?
-2
Let c be 142*5*15/50. Suppose -6*q + c = -105. Which is smaller: -1/3 or q?
-1/3
Let g be (((-1)/6)/1)/(130/(-234)). Let k be 4 + (-12)/4 - 1. Which is smaller: g or k?
k
Let n be 82/(-615) - (-58)/(-15). Let p be 2 - 1 - 0 - 6. Is n equal to p?
False
Let p be (-8)/10 + 2428/3010. Is 1 at most as big as p?
False
Let c = -1/25 - -727/50. Let q = 431/30 - c. Let w(l) = l**3 - 2*l**2 + 2*l - 3. Let r be w(2). Is r <= q?
False
Let b = -0.991 + 0.691. Are b and -16.6 nonequal?
True
Suppose 12 = 22*j - 21*j. Let a = 29 - 139. Let x be 75/a*j/15. Is -2 greater than or equal to x?
False
Let x be (-4)/10 + 4/10. Let c be (-1 - (1 - -2))*48/5856. Is x >= c?
True
Let h = -39.475 - -2.539. Let y = 0.064 - h. Let i = -20 + y. Which is smaller: i or 2/3?
2/3
Let q(x) = -x**3 + 4*x**2 - x. Let l be q(4). Let i be 0 + -13 - (-2 - -4). Let u be 66/i + 4/10. Does l = u?
True
Let l = 0.46 + -0.5. Let h = -0.1 + l. Let b = h - -0.04. Which is smaller: b or -2?
-2
Let t = -24 + 25. Is 2/11 at most t?
True
Let d be (-5)/2 + (-12)/(-24). Let y be ((-6)/56)/(d/16*2). Let h = -0.06 - -0.46. Which is bigger: y or h?
y
Let t = -92 + 96. Suppose 2*k = 3*c + 2, c + t = 3*k + k. Which is greater: c or 1/54?
1/54
Suppose s + 5*q - 23 = 13, -4*s - 4*q = -144. Let k = s - 30. Let c be 1/3 + (-11)/15. Which is bigger: k or c?
k
Let j be 6/(-4)*(-8)/114. Let p(c) = c**2 - 33*c + 181. Let s be p(7). Is j less than or equal to s?
False
Let q = 3797/4 - 942. Let t = -7 + q. Let y = -17 + 18. Is t >= y?
False
Let j = -0.345 + 13.395. Let q = 13 - j. Let t = 0.05 + q. Is 0 != t?
False
Suppose 4*j = 2*x + 72, 30 = 2*j + x + x. Suppose -2*h + v + j = 0, -2*h + 3*v + 0*v = -11. Suppose -6 = -3*f, 0 = -2*k - f - h - 8. Is -7 at least k?
True
Let j = -0.242 - -0.342. Which is greater: 185 or j?
185
Let q = -35/247 + 17049/116831. Let l = 960/3311 - q. Is l at least -11?
True
Suppose -1022 = 5*t - 2*p, 45*t - 50*t = -5*p + 1025. Is t less than -206?
False
Let u = 215 - 214. Which is smaller: 11 or u?
u
Let d(p) = -3*p + 10. Let h(l) = -2*l - 2. Let k be h(-4). Let i be d(k). Let m = i - -13. Are m and 4 nonequal?
True
Let g be (-3)/((-351)/(-60)) - (-12)/(-78). Let t = -10 + 6. Let x = -3.96 - t. Which is bigger: g or x?
x
Suppose -3*m - d - 1 = -36, 2*d = 4. Is 13 bigger than m?
True
Suppose 0 = -2*m + 16. Let a(i) = -2*i + 15. Let z be a(m). Which is bigger: z or -9/10?
-9/10
Let k be 2*-213*10/(-15). Let v = k + -2560/9. Which is greater: v or 1?
1
Let r = -349 + 836. Is 487 less than r?
False
Let h(k) = -k**3 - 5*k**2 - k - 1. Let q be h(-5). Suppose -48*g = -64*g + 16. Which is smaller: q or g?
g
Let m(h) = h + 24. Let s be m(-13). Suppose 0 = 4*i - 4*u - 8, 5*i = 4*u + 1 + s. Suppose 5*w + 27 - 7 = -4*y, i*w - y = -16. Is -5 smaller than w?
True
Let l = 81/4 + -429/20. Is l at most as big as 15?
True
Let o be (107090/(-9730) + 11)*(-7)/4. Which is smaller: 1 or o?
o
Suppose 2*c = 4*c + 5*t - 87, -t + 1 = 0. Let n = c - 42. Is 1 < n?
False
Let j = -21 + -7. Let s = j - -40. Suppose 3*f + f = -s. Is -3 > f?
False
Let k = 0.231 - -0.769. Is 345 >= k?
True
Suppose b + 0*m - 2*m = -3, 0 = -m + 1. Suppose -4*t = -2*l + l + 3, t = 3*l - 9. Let v be (-8)/3*l/(-26). Is v at least b?
True
Let b(s) = -10*s + 29. Let l be b(3). Let j = -1.4 - 23.6. Which is bigger: l or j?
l
Suppose -98*d + 101*d - 93 = 0. Which is smaller: d or 32?
d
Let l = 22 - 41. Is l >= -4?
False
Suppose 37*g - 1206 = 28*g. Is 138 bigger than g?
True
Let j(f) = 4*f**2 + 2*f - 2. Let n be j(-2). Let b = 16 - 14. Suppose 3*v = -y + 33, -2*v - b*y + 4*y = -22. Are n and v nonequal?
True
Let i be 30/9*12/10. Let u = -17 + 13. Let j = u + i. Do -3/4 and j have the same value?
False
Suppose 0*o + 17 = -17*o. Is -2/49 > o?
True
Let q(r) = -r**3 - r**2. Let m be q(-1). Let h be 0 + 98/4 + -2. Let g = h - 179/8. Which is greater: m or g?
g
Let t = 9606.2 - 9606. Let w = -54 - -29. Which is smaller: w or t?
w
Let a(l) = l**3 - 10*l**2 + 6*l + 15. Suppose 2*j + 7 = 3*j. Let d be a(j). Let b = -357/4 - d. Is -1 greater than b?
False
Let d = 0.3 - 0.3. Let a = 3.039 - 3.339. Is a > d?
False
Let m = 229.1 - 229. Is m at least as big as 46?
False
Let p = -670 - -980. Suppose 5*f + 5*h + p = 0, h - 134 = 2*f - 22. Is f at most -58?
True
Suppose -k + 3119 = 3*u, -22*k = -4*u - 17*k + 4146. Is 1038 bigger than u?
False
Suppose 30 = n - 5*o, -4*o = -0*n - 5*n + 66. Let c be 0 + (-56)/n - 2/5. Let p(t) = 2*t + 1. Let b be p(-3). Which is bigger: b or c?
b
Let k = 4 + -2. Let n be 62/130 - k/5. Which is bigger: 0 or n?
n
Suppose -174*s + 170*s = 4. Which is smaller: -2/3323 or s?
s
Let a = -20.5 + 16. Let q = -3.1 - a. Which is greater: q or 0.2?
q
Let p = -5.2 - -2.2. Let v = p - -3.13. Let a = v + -0.16. Which is bigger: 0 or a?
0
Let w(j) = -j**2 - 3*j - 3. Let v be w(-2). Let g = 2 + v. Let a(b) = b**2 + 7*b + 13. Let n be a(-5). Is n less than g?
False
Let w = 89 + -73. Let t = 16.8 - w. Which is bigger: -2 or t?
t
Let v be 24/(-21)*22/(-8). Let a = 1843 - 1841. Is v at least as big as a?
True
Let h = -3/13 - -95/299. Is h at most as big as 0?
False
Suppose -2*s + z + 12 = 0, z - 8 - 12 = -2*s. Suppose 8 =
|
{
"pile_set_name": "DM Mathematics"
}
|
*5/20 + k**4/24 - k**3/6 - 116*k**2. What is y(2)?
13
Let u(k) be the third derivative of 0 + 1/24*k**4 - 5*k**2 + 1/6*k**3 + 0*k. What is u(-7)?
-6
Suppose 5 = -5*p + 5*g - 0, 3*p + 4*g = 18. Suppose -a = p + 3. Let j(i) = -17*i**2 - 4*i + 7*i**2 - 3 + 9*i**2. Give j(a).
-8
Suppose -s = -3*g + 25, -s - g - g = 25. Let v = -20 - s. Let r(p) = -p + 6. Determine r(v).
1
Let x(z) be the third derivative of z**4/4 + z**3/3 + 151*z**2. Let v = 2 - 0. Give x(v).
14
Let w be 38/14 - 4/(-14). Suppose -w = n - 1. Let m(c) = 4*c**2 + 4*c - 15. Let i(k) = -3*k**2 - 3*k + 13. Let r(h) = -6*i(h) - 5*m(h). Calculate r(n).
-7
Let n(c) = c + 3. Suppose 3*j + 34 + 4 = -4*h, -5*j = -3*h - 43. Calculate n(h).
-8
Let f(h) be the first derivative of -1/2*h**2 + 34 + h. Determine f(2).
-1
Let i = 23 + -14. Let z(o) = -7*o + 10*o**2 + o**3 - i*o**2 - 6*o**2 + 5. Determine z(6).
-1
Let p(r) be the second derivative of -r**5/10 - 5*r**4/12 - r**3/3 + r**2 + 29*r. Suppose -3*l - z - 6 = -2*l, 21 = -4*l - 3*z. What is p(l)?
17
Let q = -52 + 55. Suppose c + 1 - 3 = 0. Let t(h) = -4 + q*h - c - 5*h + 7. Calculate t(-5).
11
Let p(n) = n - 4. Let i be -1*(0 + 0 + -1). Suppose i = -4*u + 5. Suppose s - 2 = -4*w + u, -2*w = -3*s + 9. Give p(w).
-4
Let u(y) = y**3 - 5*y**2 - 5*y - 3. Let c be u(6). Let l(i) = -i - 5*i**2 + 4*i**2 + 0*i - 4 + c*i. Calculate l(5).
-19
Suppose 0 = 2*s + 2, -4*k - 4*s - 2 = 2. Let i(g) = k*g**2 - 3*g**2 + 2*g - 1 + 4*g**2 + 4*g**2. What is i(1)?
6
Let f = 16 - 4. Let k(t) = -t + 10 - f + 1. Let n = 2 - 3. What is k(n)?
0
Let u(r) = -33*r**2 - 3*r - 2. Let t(w) = 49*w**2 + 4*w + 3. Let q(i) = -5*t(i) - 7*u(i). Let j = 290 - 289. What is q(j)?
-14
Let q(a) = 22*a**2 + 33*a + 9. Let p(c) = -5*c**2 - 8*c - 2. Let w(h) = 9*p(h) + 2*q(h). Calculate w(-5).
5
Let o(g) = 2*g**2 - 2*g - 1. Let w be o(-2). Suppose -p - w = -8. Let y(h) = 2 + 1 - 2 + 2 + 2*h. Calculate y(p).
-3
Let x(i) = -2*i**3 - 3*i**2 - i + 8. Let j(g) = -5*g**3 - 5*g**2 - 3*g + 18. Let q(u) = -3*j(u) + 7*x(u). Let s be 4/3*(-3 + 6). What is q(s)?
-22
Let v(p) = p**3 + 5*p**2 - 6*p + 2. Suppose -3*g + 0*g = -24. Let a = g + -14. Calculate v(a).
2
Suppose -3*i - 91 = 56. Let k = i + 78. Suppose 5*o + k = 9. Let b(v) = -v - 1. What is b(o)?
3
Suppose 27 + 3 = 5*u. Let r(w) = -3*w**3 + 3*w**2 + 8*w - 2. Let y(o) = 10*o**3 - 8*o**2 - 25*o + 7. Let h(m) = 7*r(m) + 2*y(m). Determine h(u).
0
Let n(l) = 2 - 8 - 12*l - 3 + 26*l - 9*l. What is n(3)?
6
Let q(t) = t**3 + t**2 - 15*t + 19. Let v be q(2). Let j(c) = 10*c**2 + c + 1. What is j(v)?
12
Let u(i) = -i**2 + 4*i - 5. Let w = 71 - 60. Let l(k) = -5*k**2 - 7*k**2 + k**3 + 11*k + 4 + 0. Let s be l(w). Give u(s).
-5
Let z(u) = -u + 8. Let v(j) be the third derivative of 0*j - 3*j**2 + 0 - 1/3*j**3 + 1/4*j**4. Let f be v(1). Calculate z(f).
4
Let d = 5 + -5. Let a be (9/3 - d)/1. Suppose m + a = -5*o, -2 - 2 = -m + 2*o. Let r(u) = 2*u - 3. Calculate r(m).
1
Let i(v) = 2*v**3 + 4*v**3 - 2*v**2 - v**3 + v**2 + 11. Let q(m) = -14*m**3 + 2*m**2 - m - 32. Let p(t) = 17*i(t) + 6*q(t). Give p(6).
-5
Let t(k) = -4*k + 19*k**2 + 14*k**2 - 35*k**2 + 3*k - 1. What is t(-1)?
-2
Let t(v) = 14*v**3 - 2*v**2 - 2*v + 3. Let i(u) be the first derivative of 15*u**4/4 - u**3 - 3*u**2/2 + 4*u - 31. Let c(s) = -2*i(s) + 3*t(s). Calculate c(1).
13
Let p(r) = 2*r**3 - 9*r**2 - 6*r - 9. Let n(x) = x**3 - 5*x**2 - 3*x - 5. Let i(j) = -11*n(j) + 6*p(j). Calculate i(2).
7
Let x(m) = 3*m**3 - 4*m**3 + 8*m - 2 + 3*m**2 - 2 - 6*m**2. Determine x(-5).
6
Let b be 6 + -3 + 1 + 1. Suppose 0*x + 15 = b*x. Suppose u - 2*j + x + 3 = 0, -1 = -u - 5*j. Let p(f) = 2*f**2 + 5*f - 4. Determine p(u).
8
Let k(t) = -3*t + 17*t**2 + t + 0*t + 3*t. Let z be 3/(-15)*15 - 4*-1. Determine k(z).
18
Let k(j) be the second derivative of -1/20*j**5 + 1/6*j**3 + 0 - 1/12*j**4 - 17/2*j**2 + 15*j. Let a be 0/(-2 + (-4)/(-1)). Determine k(a).
-17
Suppose 6*r = -5 + 59. Suppose 5*v = r - 49. Let f(a) = a**3 + 8*a**2 - 2*a - 11. Calculate f(v).
5
Suppose 5*u + 14 = s, 10*u - 2*s + 4 = 8*u. Let q(i) = -i - 5. Let d(h) = -4*h - 21. Let j(c) = -2*d(c) + 9*q(c). Give j(u).
0
Let u(a) = -a**3 - 2*a**2 - 2*a. Let l(w) = 3*w**3 + 4*w**2 + w + 3. Let j(n) = l(n) + 2*u(n). Let q be 4 - (20/4 + -3). Calculate j(q).
5
Suppose 9*f + 24 = 5*f + 2*w, -3*f = 3*w. Let q(l) = 2*l**2 + l + 3. Determine q(f).
31
Let s be (1/2)/(2/4). Let i(o) = 1. Let k(t) = t**2 - 4*t - 8. Let z(a) = s*k(a) + 6*i(a). Let w = 10 - 6. Calculate z(w).
-2
Let a(s) = s**2 - 10*s + 1. Let r(p) = p**2 - 16*p + 58. Let u be r(11). Suppose -u*j + 3*z = -24, j + z - 37 = -3*j. Give a(j).
-8
Suppose 1 = -188*y + 189*y - 5*f, 0 = -2*y + 3*f + 9. Let v(j) be the first derivative of j**2/2 - 4*j + 2. What is v(y)?
2
Let k(x) be the second derivative of x**3/3 + 5*x**2/2 - 7*x. Let s be k(-3). Let h(w) = -2*w + 2*w - w + 7*w**2. Determine h(s).
8
Let b(a) = 2 + 3 - 2 + 45*a - 44*a. Give b(-5).
-2
Suppose -3*o + i - 15 = 0, 4*o - 4*i + 3*i + 20 = 0. Let k(g) = -2*g - 17. Let x be k(o). Let h(c) = c - 3. Determine h(x).
-10
Let r(y) = -y + 3. Suppose -5*l + 3*p = 88, -5*l + 2*p - 24 = 68. Let m be (l/25)/((-4)/10). Suppose -5*f = -4*x - 8, -3*x = 4*f + m + 4. What is r(f)?
3
Let s(j) = 11*j + 20. Let v(c) = 22*c + 37. Let z(g) = 11*s(g) - 6*v(g). What is z(1)?
-13
Let n(o) = 2*o - 28. Let g(q) = -q + 14. Let u(r) = 7*g(r) + 3*n(r). Let s be 212/16 - (-23)/(-92). Give u(s).
1
Let q(f) = f - 2 - 4*f - 1. Suppose 62 = -t + 60. Let w be (t + 2 + 1 - -2)*-1. Calculate q(w).
6
Let j(a) = -a**2 - 6*a + 6. Let i = -85 + 80. Determine j(i).
11
Let j(t) = 2*t**3 + 19*t**2 - 11*t + 6. Let c(n) = n**3 + 11*n**2 - 6*n + 4. Let p(z) = -5*c(z) + 3*j(z). Let x be 3 + (-3)/(9/15). Give p(x).
4
Let c be ((-10)/15)/((-2)/18). Let p be (-72)/16*(-8)/c. Let x(r) = p*r + 7*r - 6*r - r**3 + 7*r**2. Determine x(8).
-8
Let m(t) = t**2 - 9. Let j be m(5). Suppose 13 = -2*u - 3*u - r, 2*u + j = -4*r. Let w(k) = -k**3 - k**2 - 2*k + 1. Give w(u).
9
Let i(c) be the first derivative of -c**4/4 - 3*c**3 - 4*c**2 + 6*c + 2. Let q be (-2)/16 - (-4410)/(-560). Calculate i(q).
6
Let w(n) be the first derivative of -2*n**2 + n - 73. Calculate w(-1).
5
Let n(g) = -g**3 - 13*g**2 - 10*g + 26. Let i(d) = -d**3 - 5*d**2 + 5*d - 18. Let b be i(-6). Determine n(b).
2
Let h(b) = 4*b. Let o(p) = -4*p + 3*p - 7*p + 1 + p. Let z(s) = -s - 15. Let n be z(-10). Let j(d) = n*h(d) - 3*o(d). What is j(4)?
1
Let s = -32 + 34. Let p(a) = -3*a - 3. Let r(j) = -8*j + 1 - 10 + 0. Let d(h) = 17*p(h) - 6*r(h). Give d(s).
-3
Let p(g) = -g + 22. Let i be p(31). Let d(r) = -r**3 - 10*r**2 - 8*r - 1. Give d(i).
-10
Let k(d) = d**2 + 9*d - 21. Let u be k(-16). Let f(p) = -28*p + u*p - 45*p + 1. Give f(1).
19
Let o(b) = 22*b - 25. Let s be o(3). Let p = 50 - s. Let t(y) = y**3 - 9*y**2 - 4*y + 12. Give t(p).
-24
Let y = 0 + 2. Let w(z) = y + 0 - 4 + 2*z. Suppose -25*a + q = -26*a, 2*a - 4*q + 18 = 0. Determine w(a).
-8
Let h(v) = v**2 - v + 8. Let y = 251 - 251. Determine h(y).
8
Suppose 5*p + 2*j = -58, -4*p - j - 44 = 3*j. Let i = -10 - p. Let r be (2/i)/(1 + 0). Let b(d) = -2*d**2 + 2*d - 1. Calculate b(r).
-1
Let v(c) be the third derivative of c**5/60 + 3*c**4/8 + 3*c**3/2 - 5*c**2 - 2. Give v(-7).
-5
Let j(b) = 3*b - 33. Let n(h) = 1. Let p(u) = j(u) + 3*n(u). Let o(d) = d - 10. Let f(c) = -7*o(c) + 2*p(c). What is f(7)?
3
Let z(p) = p**3 - 13*p**2 - p + 16. Suppose -65 = -13*w + 104. Calculate z(w).
3
Suppose 2*y - 20 = -0*y + 4*o, -5*y = -o - 32. Let r(m) = m**3 - 7*m**2 + 6*m - 3. Calculate r(y).
-3
Let r be 1/(-2)*92/(-23). Suppose r*w - 6*m = -4*m, -w + 5*m = 0. Let x(f) = 18 + f**2 + 0*f**3 - f**3 + 0*f**3. Calculate x(w).
18
Let f(x) = x**3 + x + 1. Let z(w) = -w**3 + 9*w**2 - 3*w - 5. Let m = 39 + -37. Let r(d) = m*f(d) + z(d). What is r(-9)?
6
Let w(g) = 6*g - 2. Let c(m) = 7*m - 3. Let p = 2 + -6. Let s(j) = p*c(j) + 5*w(j). Suppose 9 = -4*v - u, 0 = 88*v - 87*v + u. What is s(v)?
-4
Let x(q) = 4*q - 148. Let h be x(40). Let s(f) = 2*f - 18. Calculate s(h).
6
Let k(p) = -2*p + 2. Let u be k(1). Let j(n) be the first derivative of -n**4/4 - n**2/2 + 9*n - 4. Give j(u).
9
Let n(d) be the second derivative of d**3/6 - 2*d**2 - d + 38. Let t = -4 - 2. Determine n(t).
-10
Let j(l) = 10 + 4 + l**3 + 7 - 2
|
{
"pile_set_name": "DM Mathematics"
}
|
n(f) = 13*f**2 + 6*f. Give u(n(i)).
6181539*i**2 + 2853018*i
Let s(v) be the second derivative of v**3/6 + v. Suppose 0 = 4*j + 9 - 17. Let h(p) = 27*p**j + 10 - 10. Determine s(h(a)).
27*a**2
Let f(m) be the third derivative of m**5/15 + 531423*m**2. Let v(d) = 0 - 6*d + 0. What is f(v(l))?
144*l**2
Let t(d) = -664 + 332 + 332 - 374*d**2 - 269*d**2. Let k(r) = 18*r**2. What is k(t(a))?
7442082*a**4
Let t(u) = -20*u**2 + 1. Let l(r) = -5873*r + 231. Let c(f) = -101*f + 4. Let i(k) = 231*c(k) - 4*l(k). Give i(t(b)).
-3220*b**2 + 161
Let a(p) = -109*p**2. Let t(y) = -68879*y + 1. Give t(a(x)).
7507811*x**2 + 1
Let d(w) be the second derivative of 0 - 8/3*w**3 + 116*w + 0*w**2. Let r(h) = -10*h. Calculate d(r(q)).
160*q
Suppose -17*x + 21*x = 5*c - 13, 5*x - 3*c = 0. Let t(j) = -j**2 + 3. Let q(o) = -o**2 + 1. Let s(v) = x*q(v) - t(v). Let m(z) = -183*z + 1. Give s(m(b)).
-66978*b**2 + 732*b - 2
Let l(w) = -24*w**2 - w. Let d(s) = -1964007*s. What is d(l(q))?
47136168*q**2 + 1964007*q
Let x(f) = 114*f**2. Let c(g) = -8484*g + 6*g**2 + 16971*g - 8482*g - 7*g**2. Determine c(x(y)).
-12996*y**4 + 570*y**2
Let u(g) = 2*g**2. Let x(h) = -9283*h - 9264*h - 9409*h + 27681*h. What is x(u(m))?
-550*m**2
Let y(d) = -3544*d + 1. Let u(f) = -6*f**2 + 76*f. Determine u(y(z)).
-75359616*z**2 - 226816*z + 70
Let m(x) = -15*x - 3*x + x - 5 - x. Let b(z) = -7*z - 2. Let w(j) = -5*b(j) + 2*m(j). Let q(s) = -143*s**2. What is w(q(k))?
143*k**2
Let t(w) = 10*w**2 + 9. Let q(x) be the third derivative of -x**5/60 - 127*x**3/6 - 6*x**2 + 3. Let j(a) be the first derivative of q(a). What is t(j(p))?
40*p**2 + 9
Let a(u) = -6*u. Suppose -2204*h = -2214*h + 20. Let n = 0 - -2. Let g(c) = 0*c**2 - 6*c**2 + 4*c**n + 6*c**h. Calculate a(g(x)).
-24*x**2
Let u(b) = -2*b**2. Let j(x) be the third derivative of 513*x**4/8 + x**3/3 - 3*x**2 - 136*x + 2. Determine j(u(v)).
-3078*v**2 + 2
Let h = 4 - 2. Let j(n) = -5*n**2 + n**2 - 2*n**h. Let x(o) = -180*o + 13. Let a(i) = -83*i + 6. Let v(q) = -13*a(q) + 6*x(q). Calculate j(v(z)).
-6*z**2
Let q(v) = -3583*v + 12 + 9 + 1799*v + 1782*v. Let o(f) = -12*f**2. Determine o(q(k)).
-48*k**2 + 1008*k - 5292
Suppose 290 = 4*g + 25*g. Let i(z) = g + 2*z**2 - 23*z**2 - 10. Let a(d) = 5*d. Calculate i(a(k)).
-525*k**2
Let a(m) = 14*m**2 - 20*m - 34. Let v(z) = -6*z**2 + 7*z + 12. Let q(k) = -6*a(k) - 17*v(k). Let d(o) = -3*o. What is q(d(g))?
162*g**2 - 3*g
Let h(z) = -z**2. Let r(q) be the first derivative of 904*q**3/3 + q - 4876. Calculate r(h(b)).
904*b**4 + 1
Let o(c) = -20*c. Let p be (10 + -18 - -10)/((-2)/(-735)). Let b(r) = 6*r**2 - 735 + p. Determine b(o(f)).
2400*f**2
Let h(l) = -64*l - 2. Let b(d) be the third derivative of d**5/30 + 2*d**2 - 2987*d. What is h(b(i))?
-128*i**2 - 2
Let d(m) = -3778*m. Let l(v) = -47*v - 15. Let q(y) = -50*y - 16. Let r(f) = 16*l(f) - 15*q(f). What is d(r(j))?
7556*j
Let r(a) = 2*a + 16. Let u(z) = 89*z - 81. Let x(w) = -111*w + 81. Let g(k) = -5*u(k) - 4*x(k). Determine g(r(i)).
-2*i + 65
Let l = -45683/4 - -11421. Let r(z) be the second derivative of 0*z**2 + 0*z**3 + 0 + 35*z + l*z**4. Let u(s) = -2*s. Calculate u(r(b)).
-6*b**2
Let o(m) = -4609155 + 4609155 - 6*m**2. Let p(v) = -23*v**2 + 5*v**2 + 11*v**2. Give p(o(r)).
-252*r**4
Let p(w) = -w**2. Let v(u) be the third derivative of 1895*u**4/24 - 4*u**2 - 110*u. What is p(v(n))?
-3591025*n**2
Let d(h) = -h**3 - 21*h**2 - 2*h - 40. Let g be d(-21). Let q(m) = -g - 2774*m + 2 + 2762*m. Let v(y) = 2*y. Give v(q(k)).
-24*k
Let b(r) = 5*r**2. Let n(t) be the first derivative of -t**2 + 5646*t - 150 + 34 - 5646*t. Determine b(n(j)).
20*j**2
Let c(q) = -48*q**2 - 1. Let r(o) = -2028372*o. Calculate c(r(w)).
-197486062578432*w**2 - 1
Let x(f) = -7*f - 7. Let s(k) = 78 + 8*k**2 - 78 + 18*k**2 - 41*k**2. Calculate x(s(v)).
105*v**2 - 7
Let n(h) = -2*h. Let k(r) = -303*r**2 + 404*r + 404. Let u(s) = s**2 - s - 1. Let v(j) = -k(j) - 404*u(j). Give v(n(a)).
-404*a**2
Let a(g) = g**2 - 39 + 39 - 477*g + 484*g. Let i(j) = -2*j**2. What is i(a(m))?
-2*m**4 - 28*m**3 - 98*m**2
Let o(c) be the third derivative of -74*c**2 + 0 + 0*c**3 + 2*c - 29/4*c**4. Let r(x) = -2*x. What is o(r(w))?
348*w
Let y(f) = -7*f - 8. Let u be y(-5). Suppose 5*l - 135 = -4*x, -3*l + 4*x = -2*l - u. Let n(m) = -15*m - 9*m + l*m. Let g(o) = 4*o. Calculate n(g(b)).
12*b
Suppose 3*s - 4*s = 0. Suppose -5*x + 49 = y + 10, s = -3*y - 2*x + 104. Let t(f) = -y*f**2 + 80*f**2 - 41*f**2. Let q(w) = -8*w**2. Give q(t(l)).
-200*l**4
Let s(w) = -516*w + 1007*w - 491*w - 33*w**2. Let z(o) = -32*o - 2. Give z(s(u)).
1056*u**2 - 2
Let h(z) = 41*z. Let l(p) be the second derivative of p**4/12 - 19*p**3/3 + 51*p + 12. Calculate h(l(w)).
41*w**2 - 1558*w
Let v(i) be the second derivative of -i**4 - i. Let u(p) = 29 - 9*p**2 - 8*p**2 - 29 + 3*p**2 + 16*p**2. Give v(u(n)).
-48*n**4
Let o(l) = 260*l + 4840. Let u(w) = 7*w + 132. Let i(d) = -3*o(d) + 110*u(d). Let k(f) = 354*f. Calculate k(i(h)).
-3540*h
Let x(m) = 109*m. Let f(t) = t - 14032. What is f(x(z))?
109*z - 14032
Let c(i) = -4*i**2 + 11. Let j(u) = 1427718*u**2. Determine c(j(v)).
-8153514750096*v**4 + 11
Let b(v) = 21*v**2 + v**2 + 18*v**2. Let u(t) be the first derivative of t**3 - 8786. Give b(u(m)).
360*m**4
Let k(g) = 14918*g. Let t(n) = -3*n. What is k(t(s))?
-44754*s
Let z(s) = 15*s. Let l(h) = 12*h**2 + 140*h - 84*h - 61*h + h**2. Determine z(l(k)).
195*k**2 - 75*k
Let l(c) = 1063616*c. Let m(h) = h**2. Calculate l(m(g)).
1063616*g**2
Suppose -102 = -7*n + 3. Let p(d) = 11*d**2 - n*d**2 + 2*d**2 - 64. Let w(m) = m**2. Determine w(p(z)).
4*z**4 + 256*z**2 + 4096
Let u(q) = -72*q. Let j(b) be the first derivative of b**5/30 + 13*b**2 + 3*b + 283. Let h(z) be the second derivative of j(z). Determine u(h(c)).
-144*c**2
Let y(m) = -2*m. Let k(d) = 1743*d - 874*d - 815*d + 14. What is y(k(q))?
-108*q - 28
Let m(q) = 7*q - 5. Let x(z) = 471 - 237 - 226 - 11*z. Let c(w) = 8*m(w) + 5*x(w). Let f(p) = -53*p. Give c(f(s)).
-53*s
Let r(o) = -2*o**2 - 71807*o. Let j(i) = 7570*i. Give r(j(y)).
-114609800*y**2 - 543578990*y
Let i(w) = 24*w. Let z(b) be the second derivative of -b**3/6 + b. Let j = -7473 - -7476. Let v(d) = j*i(d) + 60*z(d). Let o(y) = -y. Give o(v(t)).
-12*t
Let d(p) = 52*p**2. Let u be 8 - (2 - (-1 - (3 - 2))). Let b(o) = 21 + o**2 - 17 - 2*o**2 - u. Determine b(d(i)).
-2704*i**4
Let s(t) = 4350*t. Let h(r) = 390*r + 105. What is s(h(u))?
1696500*u + 456750
Let w(k) be the third derivative of k**5/60 - 15124*k**2. Let i(y) = 58*y**2 + y - y + 17*y**2. Determine w(i(c)).
5625*c**4
Let m(i) be the second derivative of -i**3/3 - 5984*i. Let h(a) = -12458*a**2. What is h(m(w))?
-49832*w**2
Let u(k) be the second derivative of k**3/3 + 26*k + 4. Let f(w) = -121170*w. Let b(o) = -210*o. Let l(m) = 1155*b(m) - 2*f(m). Give u(l(s)).
-420*s
Let i(z) = -164*z**2 + 7*z. Let p(w) = 163*w**2 - 8*w. Let a(g) = -6*i(g) - 5*p(g). Let l(k) = 4*k. Calculate a(l(t)).
2704*t**2 - 8*t
Let r(n) = 16*n**2. Let d(i) = 806417*i**2. Calculate d(r(k)).
206442752*k**4
Let n be 96 - (-4 + 5) - -1. Let h(i) = 96 - 2*i**2 - n - 4*i**2. Let q(c) = -4*c - 55 + 55 + 3*c. Determine h(q(z)).
-6*z**2
Let c(b) = -5*b**2. Let y(t) = 2*t - 24. Let r(l) = 194*l**2 + 2716*l - 32592. Let p(q) = 2*r(q) - 2716*y(q). Give p(c(z)).
9700*z**4
Let o(p) = 2*p**2. Let l(v) = 390*v - 13. Let b(g) = 196*g - 7. Let k(x) = 11*b(x) - 6*l(x). Calculate o(k(n)).
67712*n**2 - 736*n + 2
Let a(y) = -7*y**2. Let w(t) = 93*t. Let g(x) = -1132*x. Let b(v) = -g(v) + 5*w(v). What is a(b(r))?
-17852863*r**2
Let l(o) = 9*o**2 - 4*o - 44. Let n(u) = 7*u**2 - 3*u - 33. Let d(v) = 3*l(v) - 4*n(v). Let k(h) = 2*h - 114. Give k(d(b)).
-2*b**2 - 114
Let c(g) = -5*g. Suppose -b - 4*b = -75. Suppose -12 = -3*h, 5*h + 39 = 5*u - 1. Let f(o) = -u*o + 20*o - b*o. Give f(c(l)).
35*l
Let g(f) = -102004*f - 393. Let y(j) = 2*j. Determine y(g(r)).
-204008*r - 786
Let z(n) = -246*n. Let p(q) be the second derivative of -2*q**3/3 - 24*q + 16. Give z(p(c)).
984*c
Let y(s) = -1446*s**2 + 158*s. Let j(p) = 45*p. Give y(j(n)).
-2928150*n**2 + 7110*n
Let y(n) = 22*n - 11 + 145 - 78*n + 29*n + 24*n. Let s(h) = -h. Determine s(y(r)).
3*r - 134
Let t(x) = -72*x**2 - 28*x - 28. Let i(s) = -1 - 4 - 5*s - 13*s**2 + 0*s. Let
|
{
"pile_set_name": "DM Mathematics"
}
|
-5*g(y) - 7*l(y).
-3*y - 1
Let o(y) = 471*y - 129. Let c(d) = -235*d + 59. Let g(u) = 9*c(u) + 4*o(u). Let l(v) = -33*v + 2. Give 2*g(b) - 15*l(b).
33*b
Let w(s) = -3*s - 32 - 3*s - s**2 - 34 + 62 + 2*s**3. Let r(o) = -2*o**3 + 7*o + 5. Give -6*r(m) - 7*w(m).
-2*m**3 + 7*m**2 - 2
Let o(y) = -29*y**2 + 7*y + 3. Let b(z) = -27*z**2 + 6*z + 5. Determine 7*b(v) - 6*o(v).
-15*v**2 + 17
Let j(v) = -2*v**3 - v**2 + 2*v - 4. Let h(w) = -w + 1. Suppose 16996 = 49*y + 5775. Suppose 232*b - y*b = -3*p - 12, 3*b + 12 = -p. Give b*h(r) - j(r).
2*r**3 + r**2 + 2*r
Let y(j) = 6*j - 9. Let m(f) = -f + 2. Let o be m(4). Let a(z) = z - 12 + 75 - 66. Let h be a(o). Let s(i) = 3*i - 5. Determine h*s(n) + 3*y(n).
3*n - 2
Let b(j) = -5*j**2 - 2*j + 7. Let x(n) = -n**2 + 1. Let r be 8*1*50/25. Suppose 2*q - 2*d = -r, -2*q + 19 = -5*q + 2*d. Determine q*x(m) + b(m).
-2*m**2 - 2*m + 4
Let o(v) = v**3 - 36*v**2 + 103*v - 129. Let i be o(33). Let m(g) = -23*g - 2. Let t(f) = -23*f - 3. Give i*m(k) - 2*t(k).
-23*k
Let p(g) = -g + 9. Let h be p(5). Let f(l) = 6*l**3 + 3*l. Let s(v) = 590 + 559 - 1150 - 4*v - 7*v**3. Give h*f(n) + 3*s(n).
3*n**3 - 3
Let v(o) = 7*o. Let c(u) be the second derivative of 19*u**3/2 - 22*u - 472. Suppose 2*g + 4 = -4. Determine g*c(a) + 33*v(a).
3*a
Let z(m) = 2*m**2. Let u = 11 - 17. Let a(i) = -3*i + 18. Let x(g) = -2*g + 9. Let c(y) = a(y) - 2*x(y). What is u*c(h) - z(h)?
-2*h**2 - 6*h
Let g(l) = -l**2 - l - 1. Let p(f) = 31*f**2 - 58*f - 8. What is -7*g(c) + p(c)?
38*c**2 - 51*c - 1
Let z(p) = -8*p**2 + 3*p + 2. Let x(d) = 17*d**2 - 152*d + 2. Let f(m) = -2*m**2 + 37*m - 1. Let b(a) = -4*f(a) - x(a). Determine 5*b(v) - 6*z(v).
3*v**2 + 2*v - 2
Let b(q) = 4*q**2 + 6*q - 78. Let h(v) = 11*v**2 + 11*v - 161. What is 5*b(z) - 2*h(z)?
-2*z**2 + 8*z - 68
Let z(k) = -2*k**3 + 4092*k**2 - 8*k - 6. Let w(q) = -12*q**3 + 24542*q**2 - 46*q - 35. Determine 4*w(l) - 23*z(l).
-2*l**3 + 4052*l**2 - 2
Let j(p) = 53*p. Let y(z) be the third derivative of 75*z**4/4 + 720*z**2. What is 42*j(f) - 5*y(f)?
-24*f
Let c(x) = x**2 + 12*x - 153. Let m be c(8). Let z(k) = k + 13. Let g(w) = -w + 7 - 14 + 0. Determine m*g(b) + 4*z(b).
-3*b + 3
Let m(j) = -2*j + 3. Suppose 17*z + 32*z + 48 + 197 = 0. Let d(a) = -a + 2. Give z*m(o) + 7*d(o).
3*o - 1
Let q(d) = -d**2 + 10*d + 32. Let c(b) = 2*b**2 - 8*b - 29. Let t(m) = 5*c(m) + 4*q(m). Let i(j) = -j**2 + 1. Determine -5*i(h) - t(h).
-h**2 + 12
Let p(y) = 4*y**2 + 5*y + 7. Let l be (-1 - (-49)/28) + (-26)/(-8). Suppose -51 - 33 = -l*h. Let k(c) = 20 + c + 0*c - 2*c - h - c**2. What is 5*k(f) + p(f)?
-f**2 + 2
Let x(y) = y - 2. Let d(r) = 3692*r + 1136. What is -d(v) - 568*x(v)?
-4260*v
Let m(v) = -23*v**2 + 10115*v + 60. Let x(c) = 4*c**2 - 2023*c - 11. What is 2*m(r) + 11*x(r)?
-2*r**2 - 2023*r - 1
Let m(b) be the first derivative of -b**4 + 26*b**3/3 + 3*b + 3331. Let y(r) = -r**3 + 1. Determine -m(t) + 5*y(t).
-t**3 - 26*t**2 + 2
Let r(w) = -7*w - 7. Suppose 0*k - 5*k + 20 = 2*q, 15 = q + 5*k. Let x(d) = -22*d - 20. What is q*x(v) - 16*r(v)?
2*v + 12
Let j(r) = 4*r**3 - r**2 - 2*r. Let k = -8 - -11. Let a(m) be the second derivative of m**5/4 - m**4/6 - m**3/2 + m**2/2 - 4*m - 94. Calculate k*j(l) - 2*a(l).
2*l**3 + l**2 - 2
Let l(r) = -r**2 + 1. Let a(z) = -8*z**2 - 20*z - 2. Let g(t) = -6*t**2 - 24*t - 1. Let s(x) = 6*a(x) - 5*g(x). Determine -6*l(j) - s(j).
24*j**2 + 1
Let d(m) = -8*m - 2 + 1 - 6. Let g(v) = -67*v - 18. Let t(w) = 119*w + 33. Let u(y) = 7*g(y) + 4*t(y). Calculate 6*d(h) + 7*u(h).
h
Let c(g) = -g**3 - 2*g**2 - 5*g - 203. Let u be c(0). Let f = -200 - u. Let r(k) = -11*k**2 - 3. Let j(b) = -34*b**2 - 10. Determine f*j(z) - 10*r(z).
8*z**2
Let l(h) = 9*h - 6. Let r be 11/((9/27)/(1/(-3))). Let y be r/((-110)/(-12))*(-60)/(-9). Let n(x) = -14*x + 9. Determine y*l(z) - 5*n(z).
-2*z + 3
Let g(q) = 2*q**3 - 2*q**2 + 187*q. Let l(m) = -2*m**3 + 3*m**2 - 191*m. Calculate 3*g(v) + 2*l(v).
2*v**3 + 179*v
Let w(g) = g**3 - g**2 - 2*g + 2. Let o(t) = 8*t**3 - 2*t**2 - 4*t - 15. Determine o(a) - 2*w(a).
6*a**3 - 19
Let w(m) = -113*m - 9933. Let s be w(-88). Let c(y) = 90*y - 1. Let t(v) = -18*v. What is s*t(f) + 2*c(f)?
-18*f - 2
Let q(c) = 143*c**3 + 66*c**2 - 66. Let a(f) = -11*f**3 - 5*f**2 + 5. Let p(y) = -153*y + 11235. Let d be p(73). Calculate d*a(x) + 5*q(x).
-11*x**3
Let l(c) = -7717876*c**2 + 94458*c. Let z(b) = 20581*b**2 - 252*b. Calculate 6*l(k) + 2249*z(k).
-20587*k**2
Let f(c) = -77*c + 4. Let d(r) = -7544*r + 391. Calculate 4*d(o) - 391*f(o).
-69*o
Let w(a) = a. Let u(x) = -x + 1. Let q(i) = -6*u(i) - w(i). Let z(o) = o - 1. Suppose 29*h = -30*h + 87 - 28. Determine h*q(m) - 6*z(m).
-m
Let a(u) = u - 2. Let d(f) = -2*f - 12. Let y be d(-7). Let x(r) = -r + 1. Let k(h) = h + 12. Let v be k(-6). Suppose -v = -5*c - c. Give c*a(p) + y*x(p).
-p
Let d(c) = 1485*c**3 - 4*c**2 - 2*c - 4. Let k(t) = 3311549*t**3 - 8922*t**2 - 4461*t - 8922. Determine 8922*d(r) - 4*k(r).
2974*r**3
Let p(r) = -4*r**3 - 2. Let k(d) = 1024*d**3 + d - 10. Calculate k(f) - 5*p(f).
1044*f**3 + f
Let v(p) = -7*p - 3. Let y(k) = 1 - 4 - 7*k - 2 - 7*k + 0. Suppose -15*c + 75 = -0*c. Determine c*v(z) - 3*y(z).
7*z
Let w(l) = 1570 + 12*l - 773 - 789. Let n(j) = 4*j + 3. Let i = 8 - 5. Determine i*w(z) - 8*n(z).
4*z
Let v(y) = -3788*y**3 + 8*y**2 - 16*y + 16. Let f(k) = 3787*k**3 - 9*k**2 + 18*k - 18. Give -8*f(s) - 9*v(s).
3796*s**3
Let k(t) = 15*t**2 + 11*t - 15. Let w(z) = -2*z**2 + 5*z. Let y(l) = -l**2 + 25*l - 7. Let v(a) = 4*w(a) - y(a). Determine 6*k(r) + 13*v(r).
-r**2 + r + 1
Let s(z) = -z**2 + 48*z + 264. Let l = 178 - 125. Let a be s(l). Let y(k) = 15*k - 9. Let q(i) = -i + 1. Calculate a*y(o) - 9*q(o).
-6*o
Let y(h) = -5*h**2 - 8*h - 1. Let w(a) = -37*a**2 + 28*a + 13. Calculate -w(u) - 3*y(u).
52*u**2 - 4*u - 10
Let s(f) be the third derivative of f**6/24 - f**5/30 - f**4/8 - 12*f**2 + 73. Let u(b) = -9*b**3 + 5*b**2 + 7*b. What is 5*s(k) + 2*u(k)?
7*k**3 - k
Let y(u) = u**2 - 123*u - 3. Let b(k) = 1. Calculate 6*b(g) + y(g).
g**2 - 123*g + 3
Let x(a) = -28*a**3 - 76*a**2 - 1572*a. Let s(y) = 9*y**3 + 24*y**2 + 524*y. Give -19*s(b) - 6*x(b).
-3*b**3 - 524*b
Let u(q) = 5*q + 5*q**3 + 12176*q**2 - 12176*q**2 - 7 + 8. Let c(o) = -o - 1. Give c(a) + u(a).
5*a**3 + 4*a
Let u = -48 - -49. Let o be 9*(u + 2/(-3)). Let m(n) = 3 + 3*n - o*n + 1 - n. Let y(w) = -4*w + 21. What is -11*m(i) + 2*y(i)?
3*i - 2
Suppose -u = -6*u + 5. Let l(y) = -y**3. Let o be 2/(2/(-7)) + 23*(-9)/(-207). Let q(h) = -8*h**3 - 2. Give o*l(a) + u*q(a).
-2*a**3 - 2
Let v(j) = -43*j + 6. Let d(w) = 85*w - 10. Calculate 4*d(r) + 7*v(r).
39*r + 2
Let q(k) = 65*k**3 + 35*k**2 - 35*k. Let z(d) = -11*d**3 - 6*d**2 + 6*d. Let u = -398 - -693. Let a = -260 + u. Calculate a*z(b) + 6*q(b).
5*b**3
Let c(p) = -24*p**2 - 17*p + 17. Let j(t) = -4*t**2 - 3*t + 3. Let d(b) = 9*b - 22. Let q be d(3). Suppose -q*y - 136 = -y. Calculate y*j(h) + 6*c(h).
-8*h**2
Let g(l) = 3 - 2 + 3*l + 2 - 5*l**2. Let k(c) = -4*c**2 + 2*c + 2. Suppose 32 = -4*o, 0 = 7*i + 149*o - 150*o - 50. Determine i*k(h) - 4*g(h).
-4*h**2
Suppose 5*g + 3 - 466 = 4*c, 4*g = 5*c + 374. Let w be (-38)/7 + (-52)/g. Let v(o) = -10*o**3 - 8*o. Let t(f) = -f**3 - f. Determine w*t(n) + v(n).
-4*n**3 - 2*n
Let i(t) = t - 3*t + 26 - 4*t. Let r = -35 - -107. Suppose 33 = 2*k + q, 2*q - 26 + r = 3*k. Let m(h) = h - 5. Determine k*m(y) + 3*i(y).
-2*y - 2
Let a(p) = -p**2 + 120*p - 689. Let z be a(6). Let g(c) = -c - 1. Let h(u) = 2*u**3 - 2*u**2 - 7*u + 3. What is z*g(f) + h(f)?
2*f**3 - 2*f**2 - 2*f + 8
Let m(w) = -24*w**2 - 48*w + 12. Let b(c) = 21*c**2 + 50*c - 9. Give 4*b(g) + 3*m(g).
12*g**2 + 56*g
Let g(y) = -y + 1. Let w(b) = 26*b + 4. Let n = 453 + -452. Determine n*w(m) - 4*g(m).
30*m
Let q(r) be the third derivative of r**4/4 - r**3/3 + r**2 - 83*r. Let u(m) be the second derivative of -m**2 + 7/6*m**3 + 3*m + 0. What is 4*q(i) - 3*u(i)?
3*i - 2
Let b(u) be the first derivative of -u**2/2 - 102. Let v be -13 - ((3 - 3) + 1). Let x be (2/4)/((-7)/v). Let z(r) = 3*r + 3. What is x*b(a) + z(a)?
2*a + 3
Suppose 18 = 4*y - y. Let f(n) = 4*n - 9. Let j(k) be the second derivative of k**3/2 - 4*k**2 - 386*k + 22. What is y*j(b) - 5*f(b)?
-2*b - 3
Let g(l) = l**2 + 2*l - 1. Let i(h) = -2637*h**2 - 2*h. What
|
{
"pile_set_name": "DM Mathematics"
}
|
y is positive.
y**(-5/3)
Simplify (y*y/(y**(1/27)/y))/y**(1/7)*y**(-9/8)/(y/y**(-3/5)) assuming y is positive.
y**(719/7560)
Simplify (i**2/i)**(-20/3)*(i**(2/5))**(-50)*((((i**7/i)/i)/i)/i**(-3))/(i**(5/6)*i*i*(i**(2/3)*i*i)/i) assuming i is positive.
i**(-145/6)
Simplify (q/((q/(q**13*q))/q)*(q/q**(-17))/q*((q/(q**(-1/24)/q))/q*q)/q**(6/11))**(-30/13) assuming q is positive.
q**(-44215/572)
Simplify (o/(o*o**(-1)*o)*o**(1/2)*o)**(2/5)*((o**(2/11)/o)/(o/o**0))**(-1/36) assuming o is positive.
o**(322/495)
Simplify (((z**(-1/2)/z)**3/((z/(z/(z**1/z)))/z)**(-3))**(-27))**21 assuming z is positive.
z**(8505/2)
Simplify ((s**(1/8)*((s*s*(s*(s/(s/s**(-17)*s))/s)/s)/s)/s)/((s/(s/s**(-6/5)))/s*s*(s**(-1/6)/s)/s))**(-28) assuming s is positive.
s**(13027/30)
Simplify (((o/o**6*o**(5/6))**(-8))**(-14/3))**(-6/7) assuming o is positive.
o**(400/3)
Simplify ((z*z**1/z*z)**47)**43*(((z**(3/5)*z)/z)/(z/z**(-1)))/(z**1*z)**(-4/7) assuming z is positive.
z**(141461/35)
Simplify (q**(6/25)*((q*q**28)/q)/q*q**(-3/2)*q**(-4/5)/q)**6 assuming q is positive.
q**(3591/25)
Simplify (m**(2/17)/m*m**(-6))**(-11)*(m**0/(m/((m*(m*m**(1/7))/m)/m)))/(m**(-1/2)*m)**(1/11) assuming m is positive.
m**(195835/2618)
Simplify (((r**25/r)**(25/3))**(-37))**(-50) assuming r is positive.
r**370000
Simplify ((o/o**(-1/9))/o**(-4))**(-10/3)*o**2/o*o**(3/5)/o*o*o**(1/5)/(o**(6/5)*o) assuming o is positive.
o**(-2354/135)
Simplify (j**2/(((j/(j**(-3/2)*j))/j*j)/j*j))**(-3/23)*((((j*j**(-2)/j*j*j)/j)/j)/j*j*j/j**2*j*j*j)/(j**1)**(-21) assuming j is positive.
j**(963/46)
Simplify (m**(-9/2)/(m*m/(m**(-43)/m))*(m/(m**(-22)/m)*m)/m**8)**38 assuming m is positive.
m**(-1273)
Simplify (x/(x*x/(x/((x*x**(-2/7)*x)/x))*x)*x**(1/7)*x)**20*(x**(-2/3)/(x/x**0))**(-14/11) assuming x is positive.
x**(-2150/231)
Simplify (g/(g*g**1*g*g)*g*g*g**(-4))**(-25)*(g**(1/3)/((g/((((g*g**(1/2)*g)/g*g)/g)/g*g))/g))/(g**(2/9)/(g/(g*g*(g**0*g)/g))) assuming g is positive.
g**(2261/18)
Simplify ((i**(-2))**18/(i**(3/4)/(i/i**3)))/((i*i**2/i)**(23/5)*(i**1*i)**(2/35)) assuming i is positive.
i**(-6729/140)
Simplify (b**(-15)/(b**(1/12)*b))**(-35)/(((b**(-8)*b*b)/b**(-7))/(b**(-4/7)*b**6/b*b)) assuming b is positive.
b**(47657/84)
Simplify (((v/v**(2/23))/v**(1/21))/(v**(-4)*v)**28)**(2/13) assuming v is positive.
v**(81980/6279)
Simplify (s**(2/13)*s*s**(-1/6))**(2/95)/(s*s**3/s*s**0*s**(-2)/s**7) assuming s is positive.
s**(22307/3705)
Simplify (s**(-5)*s*(s/(s*s**(-6)))/s)/(s**(-1))**1*s/(s**(1/10)*s)*s**(-4)*(s*s*s**(1/4))**(1/4) assuming s is positive.
s**(-123/80)
Simplify (m**5/m*m**(-7))**(2/41)/(((m**(-2/13)*m)/(m/m**(3/2)))/((m**3*m*m)/(m*m**(-1/7)))) assuming m is positive.
m**(19777/7462)
Simplify (v**(-2/13))**(2/67)/((v*v**(-2/31))/(v**3/v)) assuming v is positive.
v**(28619/27001)
Simplify ((z/(z*z*(z/((z**(-1/4)*z)/z))/z*z*z))/(z/(z**(1/3)/z)))**(-1/12)/((z*z**4)/z**(-4/3))**41 assuming z is positive.
z**(-37333/144)
Simplify (b/(b*b*b**0/b)*b*b**(-22)/b*(b*(((b/(b*((b*b*b**(-3/7)*b)/b)/b*b))/b)/b)/b)/(b**(15/2)/b*b))**(-48) assuming b is positive.
b**(11112/7)
Simplify ((d/(d/d**(2/9))*d*d**(-2/9)*d*(d/((d**0/d)/d*d)*d)**28)**(-22))**(45/2) assuming d is positive.
d**(-42570)
Simplify ((u*(u/u**12)/u*u)/u*u**(2/41)*u/u**(-19/5)*u*u*u*u/u**10*u)**(2/9) assuming u is positive.
u**(-508/205)
Simplify (l/((l*l/(l**36/l)*l)/l*l)*l)/l**(-4)*((l*l**16/l)/l)/(l/(l/(l/l**25))) assuming l is positive.
l**77
Simplify ((f**(-45)*f**(-8/3))/(f/f**(-36)*f**(1/3)/f))**(-19) assuming f is positive.
f**1596
Simplify (((r**(-4/7)*r)/r*r*r**0)/((r*r/r**(2/3))/r**6))/((r*r**(-3/7)/r*r**2)/(r**(-1/4))**(-1/2)) assuming r is positive.
r**(613/168)
Simplify ((s**0*s**(-2/15))/((s/(s*s*s**6))/(((s**(-2/7)/s)/s)/s)))/((s/(s**0*s*s))**4*(s**(-1/5)*s)/s**4) assuming s is positive.
s**(1132/105)
Simplify (g**(-1)*g)**(10/19)*g**(-1)*g*(g/(g*g/(((g**(2/21)*g)/g)/g)*g))/g*g*g**9*g*g**(-1/13)/g*g*g**(2/19)*g*(g/g**(2/13)*g)/g*g assuming g is positive.
g**(51713/5187)
Simplify (((b/(b/(b*b**2)))/b*b)/(b*b**(2/21)))**(1/22)/(b/(b*b/b**(2/5))*b*b**3)**(19/2) assuming b is positive.
b**(-74413/2310)
Simplify ((b*b*(b**(-7)/b)/b*b/(b**(8/7)*b))/(b/b**(5/2)*b**6))/((b*b/b**(-8)*b*b/(b/((b*b**6*b)/b)))/(b/b**2*(b*b**8/b)/b)) assuming b is positive.
b**(-345/14)
Simplify y**(-2/7)/y**(2/3)*(y*y**1)**41*(((y/y**(2/7)*y*y)/y)**34)**(-10/9) assuming y is positive.
y**(114/7)
Simplify ((q*q/q**23*q**(1/6))/(q**(-2/15))**(-10))**(-12) assuming q is positive.
q**266
Simplify (w/w**(-6)*w/(w/(w*w**(3/8))))/((w**(-5)*w)/(w*w**6))*((w*w*w**(-2)*w*w)**(-18))**7 assuming w is positive.
w**(-1861/8)
Simplify ((y/y**(-2))**(4/35)/(y**(-1/3))**22)/(y*y/y**(-5)*y**(2/9)*(y**(-3/5)/y*y)/y*y**(5/2)) assuming y is positive.
y**(-281/630)
Simplify (b/(b**1/b))**(-50)*(b**1)**(-27)*(b**(-3/2)*b**(-1/3)*b*b)/((b**(-7)*b)/(b/b**5)) assuming b is positive.
b**(-449/6)
Simplify ((p*(p**37*p)/p*p*p**(-12))/(p**(-1)*p*p*p/p**(-23)))**45 assuming p is positive.
p**90
Simplify ((((y*(y*y*y**2*y)/y*y)/y**(-14/3))/(y**(6/5)*(y/((y*y/y**(8/7))/y))/y*y))**(5/11))**40 assuming y is positive.
y**(34960/231)
Simplify ((v/(v/(v*v*v**(-13/4)/v)))/v)/v*v*v*v**(-1/74)/v*v*v/(v**27/v)*v*v/(v/(v**(-7)/v)) assuming v is positive.
v**(-5071/148)
Simplify (n*n*n*n/((n/(n*n**7/n))/n))/n*n**(-1/11)*n**(1/4)/n**4*((n/n**(-1/2))**(2/11))**21 assuming n is positive.
n**(523/44)
Simplify (y**5/(y/(y**(-7)/y)))/((y*y*y**7)/y*y**(-3/2))*((y/y**(1/6)*y)/y*y**(-3/7))**(-15) assuming y is positive.
y**(-116/7)
Simplify (s/(s**(2/25)/s)*s*(s/(s**(-1/7)/s))/s)**(-4)/((s/(s/(s*s**(2/7)*s)))**9/((s*s*s**(1/3))/(((s**7/s)/s)/s))) assuming s is positive.
s**(-20207/525)
Simplify ((k**(1/10)*k)/(k*k*k*k**(-15)/k*k*k)*(k/k**(-1))/k**(-2/57))**(5/2) assuming k is positive.
k**(8057/228)
Simplify (((m*m*((m/(m**(-1)*m))/m)/m)/m)/m)**(-2/89)/(((m**(-2/13)/m)/m)/(m/m**(-1/4)))*(m**(-2/9)*m*m**0)/(m*m**(-1/6)*m**(-2/5)*m) assuming m is positive.
m**(577039/208260)
Simplify ((y/(y**8/y))/(y/(y**(-5)*y)))/(y*y/y**(1/2))**(-12)*(y**(-2/15)/(y**(-2/11)*y))**(-48) assuming y is positive.
y**(2897/55)
Simplify (((k**(-14)/k*k)/k)**(-21)*(k/(k/(k*k**14/k)))**(-2/29))**50 assuming k is positive.
k**(455350/29)
Simplify (((i**(2/11)/(i/i**(-5/2)))/(i**(-1))**34)**(1/2))**(-5) assuming i is positive.
i**(-3375/44)
Simplify (w**(-3)/(w*w**(3/4)))**35*((w/w**(3/5))/w**2)**(-16) assuming w is positive.
w**(-2813/20)
Simplify p**(-7)/(p/(p**(-2/7)*p))*p**(-3)/p**(-3)*(p**(-8)/(p/(((p/p**(-2/27))/p*p)/p)))**(-27) assuming p is positive.
p**(1636/7)
Simplify ((d**31*d**(-2/5))**(-34))**(-1) assuming d is positive.
d**(5202/5)
Simplify ((z*z**(-1/4)*z)**45)**4*(z/(z**1/z))**10/((z/(z/(((z**(-6)/z)/z)/z)))/z*z**(-6)/z) assuming z is positive.
z**342
Simplify ((o/(o*o**16/o))**(-47)/(((o*o**27*o)/o)/(o**30*o)))**43 assuming o is positive.
o**30444
Simplify ((n**(-2/3)/n)**(1/19))**(2/85)*(n**0)**(-18/11)*(n**(2/9)/n)/(n**(2/5)/n) assuming n is positive.
n**(-2614/14535)
Simplify (x/(x/(x**1/x))*x)**(-2/55)*x**(-1/2)*x**(1/4)*(x**(5/4)/x*x**9)/(((x*x/(x*x/(x**(-2)/x)))/x)/x)**(3/22) assuming x is positive.
x**(1061/110)
Simplify (r*r*r**(2/7))**(3/31)/((r/(r*(r*r*r**(2/5)*r)/r)*r)/r)**(-13/2)*(r**(2/5)/(r/r**(-1/2)))/(r/r**(2/11)*r*r*r**(1/4)*r) assuming r is positive.
r**(-980913/47740)
Simplify (((a/((a**(1/13)*a)/a))/a**(-1))/(a/((a*a/a**8)/a)*a*a*a/(a*a*a**0)))/(((a/(a/a**(-2/7)*a*a))/a)**38*((a*a**0*a)/a*a)**(15/2)) assuming a is positive.
a**(9353/91)
Simplify (k*k**(-35)*k*k*k**(-7))/((k/(k*(k*k**(-2/21))/k))/k*k*k**(1/39)*k) assuming k is positive.
k**(-3651/91)
Simplify (x**(2/5)*x)**(14/5)/((x*x/((x**2/x)/x))/x**2)*x/(x/(x*x**(1/6)*x*x))*x**(-6)*x*x*x*x**(3/4)*x*x/x**5*x assuming x is positive.
x**(851/300)
Simplify (q**(3/8)/q**(1/5)*((q/(q*q/(q/((q*q/q**(-2/3)*q)/q))*q*q)*q)/q*q)/q**(2/35))/(q/((q**2*q)/q*q*q)*q/q**(-1/4)*q*(q**0)**(-16)) assuming q is positive.
q**(-2351/840)
Simplify ((q*(q/(q*q**(-2)))/q*q*q)**(9/5))**(-2/61)*(q/(q**3*q*q)*q**(2/9))**46 assuming q is positive.
q**(-477668/2745)
Simplify ((m**(-9))**(-13/5)/(m**(-13/6)*m*m/((m/(m*m/(m/(m**(-2)*m)))*m*m)/m)))**(-32) assuming m is positive.
m**(-12272/15)
Simplify (z*z**(-8))/(z/(z**9/z))*(z/((z*z*z*z/z**(2/3))/z))**36*(z/(z*z/((z/z**(-
|
{
"pile_set_name": "DM Mathematics"
}
|
u(4). What is the nearest to z in v, -3/5, 1/6?
-3/5
Let j = -4 - -3. What is the closest to j in 3, 3/7, -3?
3/7
Let w be ((-3)/(-18))/((-2)/(-9)). Which is the closest to 3/5? (a) 4 (b) w (c) 2/11
b
Let t = 30 + -29. Let r = 2.5 - 3. Which is the closest to 1? (a) t (b) r (c) -3
a
Let l = -16 - -16.9. Let d = l + 0.1. Suppose 0 = -4*x + 2*j + j + 13, -2*x - 2*j = -10. Which is the nearest to d? (a) -4 (b) -1 (c) x
b
Let g = 531 - 536. Let y be 1/((0 - 1)*-1). Suppose -5*s - 5 = -3*s - 5*v, 0 = -s - 2*v + 11. Which is the closest to -1? (a) g (b) y (c) s
b
Let b = 2 - 2.3. Suppose 0 = -q - 0 + 2. What is the closest to q in 0.3, b, 0.2?
0.3
Let w = -21 - -22. What is the nearest to w in 3, -0.2, 0.06?
0.06
Let x be -2 + 5/(-7) - -3. Let v = -15 + 20. Let y = 0.2 - -0.3. What is the nearest to x in -2, v, y?
y
Let i = 13 + -12. What is the closest to i in -3/4, 0, 0.1?
0.1
Suppose -3*g = 12 - 0. What is the nearest to -1 in g, -2/5, -3/5?
-3/5
Let r = -9 + 7. Let j = -1 - r. Let n = -0.3 + 0.4. Which is the nearest to n? (a) 0.2 (b) j (c) -3
a
Let g be (-20)/42 + 1/3. Let o = -0.05 - -0.25. What is the nearest to 0.2 in g, 0, o?
o
Let s = -9 - -8. Let u = -1.2 - -2.4. Let v = s + u. Which is the nearest to v? (a) -2 (b) 3/5 (c) 1/3
c
Let i = -41 + 122/3. Let f = 91 + -458/5. Let g be (-4)/(-10)*(-40)/12. What is the nearest to i in f, g, 1?
f
Suppose 2*s - 5*n = -5, n - 1 = -2*s - 3*s. Suppose 9 = -s*p + 3*p. Which is the nearest to -1? (a) -0.2 (b) 0 (c) p
a
Let d be (40/(-1450))/((-14)/(-5)). Let c = d + 416/1015. Let x be 2/12 + (-2)/3. What is the nearest to x in -4, c, -3?
c
Let x = 0.3 + 3.7. Which is the closest to 2? (a) x (b) 1/12 (c) -1
b
Let k = -3 - 3. Let r = 2 + k. Let h = 1 - 0.5. What is the closest to -2/7 in h, r, 0.4?
0.4
Let r be (-16)/15 + (-12)/(-18). Which is the nearest to r? (a) -5 (b) 0.5 (c) 19
b
Let o(u) = -u**3 + 8*u**2 + 8*u + 9. Let i be o(9). Let z be 1/(-2)*(1 - 2). Which is the closest to i? (a) -5 (b) z (c) 1/4
c
Let o(d) = -1054*d - 4. Let t be o(-3). Let l = t - 9560/3. Let m = l + 29. What is the nearest to -1/2 in 5, -2, m?
m
Suppose 5*u - 32 - 18 = 0. Let z be -1*(-4)/u - 0. What is the closest to -1 in z, -3, 0?
0
Let q = 0.04 - -0.06. Let n(t) = -t + 12. Let s be n(14). Let v = 8 - 5. Which is the closest to -0.1? (a) v (b) q (c) s
b
Let w = -4 + 4. Let f = -2/3 + 1. Which is the nearest to w? (a) f (b) -5 (c) -2
a
Let p be (12/14)/(4/(-28)). Let d(q) = -q**2 - 6*q + 4. Let v be d(p). What is the nearest to -2 in -1/4, -0.5, v?
-0.5
Let p = 10 - 15. Let s = -0.8 + 0.4. Let y = s + 0.2. Which is the closest to y? (a) p (b) -1/8 (c) -2/5
b
Suppose 11 = 4*f + 7. Which is the nearest to -12? (a) -3 (b) f (c) -4
c
Let t = 28 - 30. Let f = 5 + -5.3. Which is the nearest to t? (a) 0.2 (b) f (c) -2
c
Let d = 4/15 + 7/30. Let m be 3/(-1)*15/(-9). What is the closest to 1/3 in m, -4, d?
d
Let x(m) = m. Let n be x(0). Let v = -3 + 2.5. Let q = -2.5 - v. Which is the closest to 0.1? (a) -3 (b) q (c) n
c
Let i = -70 + 277/4. Which is the nearest to -0.5? (a) -4 (b) i (c) 2/9
b
Let y = 1 + 4. Suppose 2*d - y*j - 8 = -d, 0 = -4*d - 2*j - 24. Let m be ((-8)/(-10))/(d/20). Which is the closest to 0? (a) m (b) 0 (c) 3
b
Let w = -177 - -176. What is the nearest to -5 in w, 4, 0.2?
w
Let b(v) = v**2 - 13*v - 9. Let o be b(14). Let x(t) = -t**2 + 3*t + 12. Let n be x(o). Let a = 8 - 13. What is the nearest to 0.1 in 0, n, a?
0
Let l be (-8)/(-32) - (-3)/20. Suppose -5*z = 2*k + 2, 2*z + 3*z + 4*k = 6. Let j be 3 + (-3 - 4/z). What is the closest to -0.1 in l, -0.1, j?
-0.1
Let h = -5.6 - -0.6. What is the closest to 0 in -0.5, h, 2/3?
-0.5
Suppose -4*g - l = -3, -4*l = 4*g - 2*l + 2. Suppose 2*t = 7*t. Which is the closest to t? (a) g (b) 3/8 (c) 1
b
Let j = 15 - 16. Which is the nearest to j? (a) -3/7 (b) -5 (c) -2
a
Let s = 0.041 + -0.141. Let f = 2 + -2. Which is the closest to s? (a) f (b) 2 (c) 0.3
a
Suppose 2*q = -5*k - 0*k - 17, -k - 3*q + 7 = 0. What is the closest to -1 in k, -0.1, -0.2?
-0.2
Suppose 2*d - 3 = -n, 0 = d - 0*d + n - 3. Let h be 4/1*1/(-2). Let m = -3 - -3.2. Which is the nearest to h? (a) m (b) -5 (c) d
c
Let i = 119/6 - 39/2. What is the closest to 0 in 2/5, i, -5?
i
Let x = -59 - -63. What is the closest to -0.7 in x, 0.1, -0.5?
-0.5
Let h = -1.3 - -1.2. What is the nearest to 1 in h, -0.2, 2?
2
Let l be 3 - 2 - (2 - 1). Suppose 0 - 6 = 6*o. Which is the nearest to l? (a) -4 (b) o (c) -3
b
Let j = -49 - -51. What is the nearest to -0.2 in 3, j, -1/2?
-1/2
Let n = -10/9 + 31/36. Let v = 36 + -36.1. Which is the closest to v? (a) n (b) -3/8 (c) -3
a
Let c = -0.44 + -1.56. Let v = -5 + 3. What is the nearest to c in -0.4, -4, v?
v
Suppose 0 = b - 4*t + 11, -t + 3 = -0*t. What is the nearest to 1 in b, 3/2, 5?
b
Suppose 2 = 2*f + 8. Let d = 0.4 + 0. Which is the nearest to 0? (a) f (b) d (c) 2
b
Let k = 149 - 149. Which is the nearest to -5? (a) -2 (b) k (c) -2/9
a
Let b = 1.4 - -0.6. Let x be -3*(-4)/32*12/9. What is the closest to b in -0.5, 5, x?
x
Let w be (-20)/(-30)*1/4. Let u be (3 - (3 - -2))/(-11). Which is the closest to w? (a) -1/2 (b) u (c) 1/3
b
Let s(u) = -2*u - 7. Let y be s(-3). What is the closest to y in -0.4, 2, -0.2?
-0.4
Let s = 0.5 - 0.6. What is the closest to -1 in s, -5, -1/3?
-1/3
Let g = -2.1 + 4.1. What is the closest to g in -2/3, -1/3, -4/9?
-1/3
Suppose -9*t = -6*t + 3. What is the closest to 0 in 0.3, -5, t?
0.3
Let l = 9.15 + -6.1. Let o = -0.05 + l. Let r = -6 + o. Which is the nearest to 2/7? (a) -5 (b) 3 (c) r
b
Let z = -0.13 - -0.09. Let g = z - -0.14. Which is the closest to 2/7? (a) 5 (b) -3 (c) g
c
Let q = 0 + -1. Let g = 225 + -2470/11. Let w = -4/33 + g. Which is the nearest to -0.1? (a) q (b) 1/8 (c) w
b
Let f = -9.07 + 9. Let m = f - -3.07. Let c = -1 + 1. What is the nearest to c in -0.1, 2, m?
-0.1
Let y = 5 - 4.9. Let d = -5 + 4. What is the closest to y in 0, -0.3, d?
0
Let g be -4*(-2)/28 + 96/(-42). Let b = -0.1 - -1.1. What is the nearest to b in g, 1, -3/5?
1
Let r = -2.06 + 0.06. Let f = 1 + r. Which is the closest to -1/2? (a) -3 (b) f (c) 0.5
b
Let o = -2.3 - -2.51. Let v = 0.01 - o. Which is the nearest to 1? (a) 2 (b) -5 (c) v
a
Let c = -0.16 - 0.24. Let i = -44 + 36.7. Let w = -7 - i. What is the nearest to -2/5 in 0, c, w?
c
Let i = -0.055 + 3.055. Suppose -4*h - 2*v + 4 = 0, 5*v + 14 = 4*h - 2*h. What is the closest to 1/4 in h, i, 0.3?
0.3
Let p be (-2)/7 - (-4)/(-14). Let o = 0.9 + -0.5. What is the closest to -0.3 in p, o, -0.5?
-0.5
Let z be -2 + 6/(3 + -1). Let m be (-1)/(-2)*z*-1. Suppose -5*w + 5 = v + 1, -2*v + 2 = 4*w. Which is the closest to w? (a) 4 (b) m (c) -0.3
c
Let x be (-2)/(-13) - (-189)/(-468). Which is the nearest to -0.1? (a) -2 (b) x (c) -5
b
Let h(r) = -r**3 + r**2 - 2*r + 3. Let n be h(2). What is the closest to 0 in 0, -1/6, n?
0
Let j be -4*((-7)/(-2))/(-7). Let s be (0 - 0)*3/(-6). Suppose s = j*x - 4*x + 2. What is the nearest to x in -0.4, 0, 4?
0
Let l = -11.5 - -11. Which is the closest to 0? (a) -2 (b) -1/5 (c) l
b
Let i = -8 - -7.9. What is the nearest to -3/5 in i, 0.2, -2?
i
Let g = -0.91 - -0.71. Which is the closest to 5/2? (a) g (b) 0 (c) 3
c
Let t = -0.02 - -2.02. Suppose f - 2 = 2*f. Let n be 9/f - 10/20. What is the closest to -0.1 in t, n, 0.4?
0.4
Let i = 1.8 - 2. Let g(h) = -2*h - 22. Let y be g(-13). Let w = -2.7 - -1.7. Which is the nearest to w? (a) i (b) y (c) 0
a
Let p = 15015 + -90571/6. Let m = p - -80. Let v = 4/7 - 1/14. Which is the closest to v? (a) -2/3 (b) 0.1 (c) m
b
Let y = -0.04 + -0.16. Which is the nearest to y? (a) -3 (b) -1/4 (c) -1
b
Let v = 5.7 - 6. Let o = -64 + 383/6. What is the closest to 1 in o, 0.3, v?
0.3
Let a(m) = 68*m - 2. Let p be a(-1). Let k = 488/7 + p. What is the nearest to 0.1 in k, 2, -2?
k
Let v = 0.32 - 0.22. What is the closest to v in -1, 4, 2?
-1
Suppose -6*m + 5 = -m. Which is the closest to m? (a) 5 (b) -5 (c) -4
a
Let k = 36 - 34. Let f be 2/8 + (-1)/4. Which is the closest to 0? (a) f (b) -4/5 (c) k
a
Suppose -2*d = -4*c + 12, 4*d + 3*c - 9 = d. Suppose d = 2*a - 3 + 11. What is the closest to 2 in a, 0, -2?
0
Let w(m) = 5*
|
{
"pile_set_name": "DM Mathematics"
}
|
the prime factors of 31386705.
3, 5, 7, 42703
What are the prime factors of 945766362?
2, 3, 157627727
What are the prime factors of 1651575508?
2, 11, 37535807
List the prime factors of 93094393.
7, 109, 122011
What are the prime factors of 27622646?
2, 37, 53, 7043
What are the prime factors of 1171110352?
2, 59, 71, 101, 173
List the prime factors of 84955970.
2, 5, 11, 17, 181, 251
What are the prime factors of 42712314?
2, 3, 7118719
What are the prime factors of 838388620?
2, 5, 587, 71413
What are the prime factors of 77393749?
77393749
List the prime factors of 91684275.
3, 5, 199, 6143
What are the prime factors of 6155578?
2, 11, 13, 21523
List the prime factors of 3171049386.
2, 3, 263, 2009537
List the prime factors of 193668469.
367, 523, 1009
What are the prime factors of 155621064?
2, 3, 139, 46649
What are the prime factors of 67923669?
3, 11, 23, 89491
What are the prime factors of 358589345?
5, 71717869
List the prime factors of 943615903.
97, 9727999
What are the prime factors of 772148275?
5, 263, 117437
What are the prime factors of 1024068197?
1024068197
List the prime factors of 37362544.
2, 349, 6691
List the prime factors of 51850047.
3, 199, 86851
What are the prime factors of 1834909781?
19, 227, 467, 911
What are the prime factors of 17417964?
2, 3, 263, 5519
What are the prime factors of 182897319?
3, 11, 1171, 4733
What are the prime factors of 2843489201?
7, 4423, 91841
What are the prime factors of 228324932?
2, 11, 2269, 2287
List the prime factors of 265293467.
199, 1333133
What are the prime factors of 32296688?
2, 2018543
List the prime factors of 21227016.
2, 3, 17, 52027
List the prime factors of 2453023554.
2, 3, 23, 17775533
List the prime factors of 1211988726.
2, 3, 13, 23, 9791
What are the prime factors of 74024655?
3, 5, 4934977
List the prime factors of 2739850325.
5, 293, 374041
List the prime factors of 2880926843.
2880926843
List the prime factors of 24389172.
2, 3, 191, 3547
List the prime factors of 78132802.
2, 11, 71, 50021
List the prime factors of 757380877.
11, 337, 204311
What are the prime factors of 1012755382?
2, 17, 251, 118673
List the prime factors of 4783374004.
2, 1195843501
What are the prime factors of 4034632159?
19, 212349061
List the prime factors of 73021510.
2, 5, 7302151
What are the prime factors of 175165782?
2, 3, 11, 2654027
List the prime factors of 2857123657.
89, 421, 76253
List the prime factors of 19040133.
3, 7, 906673
List the prime factors of 44178028.
2, 43, 113, 2273
List the prime factors of 18355211.
7, 2622173
List the prime factors of 985128143.
1129, 872567
List the prime factors of 3033423517.
23, 131887979
What are the prime factors of 145600815?
3, 5, 9706721
List the prime factors of 653125800.
2, 3, 5, 1088543
List the prime factors of 143539220.
2, 5, 11, 652451
What are the prime factors of 4361185927?
7, 31, 271, 74161
List the prime factors of 342103951.
7, 461, 106013
What are the prime factors of 68528757?
3, 11, 2076629
List the prime factors of 46577178.
2, 3, 17, 152213
What are the prime factors of 481931780?
2, 5, 11, 2190599
What are the prime factors of 2466346594?
2, 1233173297
What are the prime factors of 168670571?
168670571
List the prime factors of 953113808.
2, 59569613
List the prime factors of 356601780.
2, 3, 5, 167, 11863
List the prime factors of 110736356.
2, 27684089
What are the prime factors of 1968613?
1968613
What are the prime factors of 114061361?
114061361
What are the prime factors of 142841279?
7, 71, 167, 1721
What are the prime factors of 78785326?
2, 39392663
List the prime factors of 3440943735.
3, 5, 17, 31, 435287
List the prime factors of 966378305.
5, 223, 866707
List the prime factors of 1283906323.
7, 19, 31, 137, 2273
List the prime factors of 66330635.
5, 7, 359, 5279
List the prime factors of 179359309.
79, 1091, 2081
What are the prime factors of 433871524?
2, 863, 125687
What are the prime factors of 190180904?
2, 17, 239, 5851
What are the prime factors of 62277379?
62277379
List the prime factors of 144770809.
23, 43, 146381
List the prime factors of 183824625.
3, 5, 23, 21313
List the prime factors of 1493898079.
127, 1871, 6287
What are the prime factors of 98518689?
3, 17, 457, 1409
What are the prime factors of 2069641081?
17, 121743593
List the prime factors of 17302908.
2, 3, 7, 29, 7103
What are the prime factors of 542575372?
2, 8669, 15647
List the prime factors of 862360925.
5, 181, 190577
List the prime factors of 87337312.
2, 1181, 2311
What are the prime factors of 113610317?
23, 83, 59513
List the prime factors of 61404992.
2, 11, 87223
What are the prime factors of 307092509?
521, 683, 863
List the prime factors of 1179596848.
2, 73724803
List the prime factors of 30806390.
2, 5, 127, 191
What are the prime factors of 27003413?
307, 87959
What are the prime factors of 1001918013?
3, 19, 29, 606121
What are the prime factors of 15245918?
2, 23, 271, 1223
What are the prime factors of 219391126?
2, 2801, 39163
What are the prime factors of 27701605?
5, 5540321
List the prime factors of 756880462.
2, 13, 103, 233, 1213
List the prime factors of 787076547.
3, 262358849
List the prime factors of 656919491.
17, 23, 1680101
What are the prime factors of 134904937?
113, 1193849
What are the prime factors of 716310470?
2, 5, 17, 4213591
List the prime factors of 6189041645.
5, 479, 1021, 2531
What are the prime factors of 122290387?
122290387
What are the prime factors of 103408625?
5, 827269
List the prime factors of 398684532.
2, 3, 61, 544651
What are the prime factors of 5730510?
2, 3, 5, 67, 2851
What are the prime factors of 4702869236?
2, 13, 43, 97, 21683
What are the prime factors of 149114074?
2, 4339, 17183
List the prime factors of 260388842.
2, 7, 23, 115523
List the prime factors of 455165257.
4099, 111043
What are the prime factors of 18755199?
3, 17, 29, 1409
List the prime factors of 18413484.
2, 3, 1534457
What are the prime factors of 2549294499?
3, 849764833
What are the prime factors of 18801377?
7, 2685911
What are the prime factors of 52037083?
7, 7433869
List the prime factors of 49653038.
2, 37, 670987
List the prime factors of 717084043.
13, 97, 103, 5521
What are the prime factors of 3307553531?
71, 46585261
List the prime factors of 2505479889.
3, 11, 75923633
What are the prime factors of 2702463?
3, 900821
List the prime factors of 64702594.
2, 11, 151, 19477
List the prime factors of 2297144169.
3, 255238241
What are the prime factors of 392695376?
2, 17, 23, 41, 1531
What are the prime factors of 128148359?
128148359
What are the prime factors of 215621973?
3, 7, 431, 2647
List the prime factors of 115755018.
2, 3, 37, 227, 2297
List the prime factors of 194693344.
2, 23, 264529
What are the prime factors of 618061764?
2, 3, 37, 367, 3793
What are the prime factors of 81427270?
2, 5, 8142727
List the prime factors of 118875255.
3, 5, 7925017
What are the prime factors of 92094921?
3, 23, 148301
What are the prime factors of 315693638?
2, 13, 17, 79, 9041
What are the prime factors of 120714292?
2, 191, 158003
List the prime factors of 328191881.
14543, 22567
What are the prime factors of 9900856?
2, 7, 23, 7687
List the prime factors of 34242857.
11, 3112987
What are the prime factors of 49396603?
49396603
What are the prime factors of 35207474?
2, 1787, 9851
List the prime factors of 131977617.
3, 887, 49597
What are the prime factors of 58293220?
2, 5, 89, 32749
List the prime factors of 354756945.
3, 5, 23, 101, 10181
What are the prime factors of 139739507?
17, 47, 174893
List the prime factors of 2015440209.
3, 37, 6052373
List the prime factors of 861860791.
11, 31, 2527451
What are the prime factors of 65603611?
151, 434461
What are the prime factors of 1252375231?
23, 31, 76369
What are the prime factors of 264454393?
7, 29, 277, 4703
What are the prime factors of 906087473?
61, 641, 23173
What are the prime factors of 70625286?
2, 3, 3923627
List the prime factors of 29800003.
29800003
List the prime factors of 97006588.
2, 7, 181, 19141
What are the prime factors of 95359639?
8893, 10723
What are the prime factors of 697046073?
3, 23, 10102117
List the prime factors of 147887674.
2, 11, 641, 10487
What are the prime factors of 381856324?
2, 19
|
{
"pile_set_name": "DM Mathematics"
}
|
463)/2
Factor 7*c**3/3 + c**2 - 7*c/3 - 1.
(c - 1)*(c + 1)*(7*c + 3)/3
Solve -2*k**3 - 244*k**2 - 7442*k = 0.
-61, 0
Determine q so that q**3/6 + 7*q**2/2 + 15*q = 0.
-15, -6, 0
Determine p so that 3*p**5/4 - 45*p**4/2 + 597*p**3/4 - 801*p**2/2 + 471*p - 198 = 0.
1, 2, 3, 22
Find y, given that -3*y**2 + 48 = 0.
-4, 4
Find s such that 2*s**3 + 108*s**2 + 1944*s + 11664 = 0.
-18
Solve 3*j**4/2 - 83*j**3 + 2403*j**2/2 - 1458*j = 0.
0, 4/3, 27
Determine f, given that 995*f**2 + 1985*f - 10 = 0.
-2, 1/199
Let -3*y**5/7 + 15*y**4 - 654*y**3/7 + 66*y**2/7 + 2529*y/7 + 243 = 0. What is y?
-1, 3, 7, 27
Factor 2*m**3 + 46*m**2 + 86*m + 42.
2*(m + 1)**2*(m + 21)
Factor g**2/3 + 14*g/3 + 49/3.
(g + 7)**2/3
What is w in 2*w**4/13 + 266*w**3/13 + 8150*w**2/13 - 46506*w/13 + 38088/13 = 0?
-69, 1, 4
Let -10*i**3 + 1856*i**2 + 2614*i + 748 = 0. Calculate i.
-1, -2/5, 187
Suppose h**3/4 - 3*h**2/2 + 11*h/4 - 3/2 = 0. Calculate h.
1, 2, 3
Determine h so that -80*h**2 + 40*h - 5 = 0.
1/4
Factor -q**2 - 107*q + 108.
-(q - 1)*(q + 108)
Suppose -u**2/3 + 68*u/3 - 1156/3 = 0. What is u?
34
Determine r, given that -3*r**2 + 999*r + 1002 = 0.
-1, 334
Factor 2*h**2/3 + 88*h/3 - 30.
2*(h - 1)*(h + 45)/3
Suppose -30*a**2 + 175*a + 30 = 0. Calculate a.
-1/6, 6
Factor 4*s**2 + 9040*s + 5107600.
4*(s + 1130)**2
Factor 3*c**5 - 15*c**4 - 24*c**3 + 36*c**2.
3*c**2*(c - 6)*(c - 1)*(c + 2)
Factor 15*a**2 + 1160*a + 3345.
5*(a + 3)*(3*a + 223)
Factor 2*c**3/9 - 76*c**2/9 - 26*c/3.
2*c*(c - 39)*(c + 1)/9
Factor 2*z**2/9 + 76*z/9 + 434/9.
2*(z + 7)*(z + 31)/9
Factor m**4/7 + 9*m**3/7 + 30*m**2/7 + 44*m/7 + 24/7.
(m + 2)**3*(m + 3)/7
Factor b**2 + 3*b.
b*(b + 3)
Let 35*o**5 - 1215*o**4 + 14665*o**3 - 67705*o**2 + 72600*o + 26620 = 0. What is o?
-2/7, 2, 11
Determine n so that -43*n**5/5 + 131*n**4/5 - 92*n**3/5 + 4*n**2/5 = 0.
0, 2/43, 1, 2
Find y such that -4*y**2/9 - 208*y/9 + 48 = 0.
-54, 2
Let c**2/5 - 13*c/5 + 22/5 = 0. Calculate c.
2, 11
Find g such that -110*g**4/7 + 68*g**3/7 + 74*g**2 - 380*g/7 - 96/7 = 0.
-24/11, -1/5, 1, 2
Factor 3*r**3/5 - 3*r**2/5 - 12*r/5 + 12/5.
3*(r - 2)*(r - 1)*(r + 2)/5
Factor -24*u**2 + 244*u - 40.
-4*(u - 10)*(6*u - 1)
Factor o**4/5 + 59*o**3/5 + 1071*o**2/5 + 3969*o/5 - 37044/5.
(o - 4)*(o + 21)**3/5
Factor 567*r**3/5 + 10242*r**2/5 + 9536*r + 2560.
(7*r + 2)*(9*r + 80)**2/5
Factor -94*j**3 - 180*j**2 - 78*j + 8.
-2*(j + 1)**2*(47*j - 4)
Find q such that 85*q**5 + 690*q**4 + 1525*q**3 + 1020*q**2 + 100*q = 0.
-5, -2, -1, -2/17, 0
Suppose -2*j**4 + 158*j**3 - 4680*j**2 + 61600*j - 304000 = 0. What is j?
19, 20
Factor -n**3 + 332*n**2 + 1003*n + 670.
-(n - 335)*(n + 1)*(n + 2)
Factor k**5/2 + k**4 - k**2 - k/2.
k*(k - 1)*(k + 1)**3/2
Factor -i**3/7 - 6*i**2/7 + 64*i/7 - 96/7.
-(i - 4)*(i - 2)*(i + 12)/7
Factor 6*a**2 + 315*a - 159.
3*(a + 53)*(2*a - 1)
Let 3*g**2 - 3171*g - 3174 = 0. Calculate g.
-1, 1058
Factor b**3/9 + 9743*b**2/9 + 7908880*b/3 - 2637376.
(b - 1)*(b + 4872)**2/9
Find x, given that 4*x**4 - 16*x**3 - 20*x**2 = 0.
-1, 0, 5
Solve -2*i**4 + 10*i**3 + 6*i**2 - 34*i + 20 = 0.
-2, 1, 5
Suppose 5*g**5 - 20*g**4 + 10*g**3 + 20*g**2 - 15*g = 0. What is g?
-1, 0, 1, 3
Factor -2*g**2/3 + 140*g/3 - 750.
-2*(g - 45)*(g - 25)/3
What is c in 5*c**4 + 1045*c**3 - 1055*c**2 - 1045*c + 1050 = 0?
-210, -1, 1
Factor 16*g**4 - 189592*g**3 + 561595201*g**2 + 280833150*g + 35105625.
(g - 5925)**2*(4*g + 1)**2
Let 2*u**3/9 - 10*u**2/3 + 124*u/9 - 32/3 = 0. Calculate u.
1, 6, 8
Factor -4*c**3/9 + 4*c**2/9.
-4*c**2*(c - 1)/9
Let 4*l**3 + 572*l**2 + 568*l = 0. Calculate l.
-142, -1, 0
Factor -36*g**3 + 748*g**2 + 1824*g + 368.
-4*(g - 23)*(g + 2)*(9*g + 2)
Factor y**3 - 44*y**2 + 43*y.
y*(y - 43)*(y - 1)
Factor 5*h**5 + 170*h**4 + 325*h**3 + 160*h**2.
5*h**2*(h + 1)**2*(h + 32)
Factor 3*v**2/4 + 309*v/2 - 621/4.
3*(v - 1)*(v + 207)/4
Suppose b**3 + 137*b**2 + 4623*b - 4761 = 0. Calculate b.
-69, 1
Factor -4*a**2 + 2304*a - 6876.
-4*(a - 573)*(a - 3)
What is t in t**5/12 - t**4/4 + t**2/3 = 0?
-1, 0, 2
Find t such that 3*t**4 - 18*t**3 - 153*t**2 + 348*t - 180 = 0.
-6, 1, 10
Factor 4*f**2/7 - 40*f/7 + 64/7.
4*(f - 8)*(f - 2)/7
Factor -5*a**3 - 7372*a**2 + 4427*a + 2950.
-(a - 1)*(a + 1475)*(5*a + 2)
Solve -3*q**5 - 96*q**4 + 243*q**3 + 1356*q**2 + 1020*q = 0.
-34, -2, -1, 0, 5
Factor -4*i**2 - 288*i + 6916.
-4*(i - 19)*(i + 91)
Determine p so that -p**2 + 27*p - 176 = 0.
11, 16
Factor -2*u**3/19 - 656*u**2/19 - 54442*u/19 - 106276/19.
-2*(u + 2)*(u + 163)**2/19
Determine y so that -y**5 + 67*y**4 - 1331*y**3 + 6965*y**2 - 10200*y + 4500 = 0.
1, 5, 30
What is q in q**5/5 + 19*q**4/5 + 14*q**3 - 4*q**2 - 296*q/5 - 224/5 = 0?
-14, -4, -2, -1, 2
Solve -c**5 + 254*c**4/7 - 3124*c**3/7 + 14984*c**2/7 - 3712*c + 896 = 0 for c.
2/7, 4, 14
Factor x**2/6 + 862*x/3 + 371522/3.
(x + 862)**2/6
Find t such that -5*t**3 - 140*t**2 + 340*t + 1200 = 0.
-30, -2, 4
Factor -2*h**2 + 34652*h - 150095138.
-2*(h - 8663)**2
Factor 3*h**2 + 48*h + 192.
3*(h + 8)**2
Find j, given that -j**2 + 1784*j - 1783 = 0.
1, 1783
Factor -n**2/3 - 7*n/3 + 6.
-(n - 2)*(n + 9)/3
Factor -2*h**2/5 + 112*h/5 + 882/5.
-2*(h - 63)*(h + 7)/5
Factor -q**4 - q**3 + 36*q**2 + 124*q + 112.
-(q - 7)*(q + 2)**2*(q + 4)
Let 12*l**5/5 - 536*l**4/5 - 192*l**3/5 + 536*l**2/5 + 36*l = 0. Calculate l.
-1, -1/3, 0, 1, 45
Suppose 6*g**5/7 + 120*g**4/7 + 90*g**3 + 1140*g**2/7 + 624*g/7 = 0. Calculate g.
-13, -4, -2, -1, 0
Factor -2*c**3/23 + 234*c**2/23 + 236*c/23.
-2*c*(c - 118)*(c + 1)/23
Let 5*b**3 + 675*b**2 + 1330*b = 0. What is b?
-133, -2, 0
Suppose 20*d**3/9 - 28*d**2/9 - 32*d/9 + 16/9 = 0. What is d?
-1, 2/5, 2
Factor -5*h**4 + 25*h**3 - 5*h**2 - 105*h + 90.
-5*(h - 3)**2*(h - 1)*(h + 2)
Factor 2*i**2/5 + 212*i/5 + 42.
2*(i + 1)*(i + 105)/5
Factor 2*z**5/3 - 10*z**4/3 + 20*z**3/3 - 20*z**2/3 + 10*z/3 - 2/3.
2*(z - 1)**5/3
Factor 4*d**2 + 168*d + 1764.
4*(d + 21)**2
Factor 3*a**2/5 + 312*a/5 + 309/5.
3*(a + 1)*(a + 103)/5
Find n such that n**2 + 224*n + 444 = 0.
-222, -2
Determine v, given that -v**4 - 37*v**3 - 35*v**2 + 37*v + 36 = 0.
-36, -1, 1
Let 4*y**2 + 952*y - 2892 = 0. What is y?
-241, 3
Factor -2*h**2/5 - 26*h/5 - 72/5.
-2*(h + 4)*(h + 9)/5
Factor 2*k**5/9 - 32*k**4/9 + 128*k**3/9.
2*k**3*(k - 8)**2/9
What is o in o**5/8 + o**4/8 - 3*o**3/4 - 7*o**2/4 - 11*o/8 - 3/8 = 0?
-1, 3
Factor x**5/4 + 15*x**4/2 + 63*x**3 + 98*x**2.
x**2*(x + 2)*(x + 14)**2/4
Factor 2*h**3/3 - 18*h**2 + 48*h.
2*h*(h - 24)*(h - 3)/3
Factor -4*q**3 + 464*q**2 - 460*q.
-4*q*(q - 115)*(q - 1)
Solve 2*u**2 - 4572*u + 2612898 = 0.
1143
Factor -b**3/3 - 6*b**2 - 27*b.
-b*(b + 9)**2/3
Factor -243*o**2/7 - 4752*o/7 - 23232/7.
-3*(9*o + 88)**2/7
What is v in 2*v**2/7 + 52*v/7 - 54/7 = 0?
-27, 1
Let -27*m**4 + 2787*m**3 - 618*m**2 = 0. What is m?
0, 2/9, 103
Factor 2*l**3 + l**2 - 13*l + 6.
(l - 2)*(l + 3)*(2*l - 1)
Factor -d**2/2 + 173*d/2 + 264.
-(d - 176)*(d + 3)/2
Factor -q**4/4 - q**3/4 + 5*q**2/4 - 3*q/4.
-q*(q - 1)**2*(q + 3)/4
Find y such that -5*y**2 + 33230*y - 55211645 = 0.
3323
Factor -4*z**3 + 104*z**2 - 364*z + 264.
-4*(z - 22)*(z - 3)*(z - 1)
Factor 2*a**4 + 188*a**3 + 5098*a**2 + 31648*a + 44376.
2*(a + 2)*(a + 6)*(a + 43)**2
Solve -5*n**3 + 80*n**2 + 525*n = 0 for n.
-5, 0, 21
Suppose 5*k**4 + 695*k**3 + 665*k**2 - 3435*k + 2070 = 0. What is k?
-138, -3, 1
Factor 3*d**5/5 - 234*d**4/5 + 4563*d**3/5 - 26364*d**2/5.
3*d**2*(d - 52)*(d - 13)**2/5
Let 2*h**4 - 30*h**2 - 20*h + 48 = 0. What is h?
-3, -2, 1, 4
Factor -2*f**2/5 - 74*f/5 - 28.
-2*(f + 2)*(f + 35)/5
Let 4*d**2 + 1400*d + 122500 = 0. Calculate d.
-175
Find f, given that 3*f**5 + 27*f**4 - 54*f**3 - 582*f**2 + 819*f + 1323 = 0.
-7, -1, 3
Find v such that v**4/2 - 11*v**3 - 24*v**2 = 0.
-2, 0, 24
Determine f so that -f**3/4 + 51*f**2/4 + 225*f/4 - 275/4 = 0.
-5, 1, 55
Factor -a**5/3 + 5*a**4 - 16*a**3 - 64*a**2/3.
-a**2*(a - 8)**2*(a + 1)/3
Find s, given that 3*s**3 - 54*s**2 + 135*s = 0.
0, 3, 15
Solve -3*a**5 + 1314*a**4 - 139887*a**3 - 875136*a**2 - 1325340*a - 591408 = 0 for a.
-4, -1, 222
Let 4*x**4 + 48*x**3 - 36*x**2 - 432*x = 0. What is x?
-12, -3, 0, 3
Determine c, given that 25*c**3 + 105*c**2 - 96*c + 20 = 0.
-5, 2/5
Factor 5*c**3 + 65*c**2 + 220*c + 160.
5*(c + 1)*(c + 4)*(c + 8)
Solve 3*i**5 + 522*i**4 - 6*i**3 - 1044*i**2 + 3*i + 522 = 0.
-174, -
|
{
"pile_set_name": "DM Mathematics"
}
|
t y be -24 + 4053/168 - 70/(-16). Let a(g) be the first derivative of -3/2*g**2 + 3/2*g**6 + 0*g - 24/5*g**5 + 0*g**3 + y*g**4 + 2. Factor a(z).
3*z*(z - 1)**3*(3*z + 1)
Let w(u) be the first derivative of -1/8*u**4 - 143748*u - 3267*u**2 + 139 - 33*u**3. Find o such that w(o) = 0.
-66
Let 12*y**3 + 9*y**4 - 24*y + 106 - 7*y**3 + 4*y**5 + 7*y**2 - 122 + 18*y**3 - 3*y**5 = 0. Calculate y.
-4, -1, 1
Let a be (-4*(-2)/44)/4 + 2879/5758. What is f in -a*f - 36/11 + 6/11*f**2 = 0?
-2, 3
What is x in 55*x**5 - 680*x**3 + 2080*x**2 + 562*x - 570*x - 320 - 17*x**4 - 1352*x - 83*x**4 = 0?
-4, -2/11, 2
Let t(x) be the first derivative of x**5/35 - x**4/28 - x**3/42 + 54*x - 93. Let r(l) be the first derivative of t(l). Suppose r(d) = 0. What is d?
-1/4, 0, 1
Suppose 3*n + 0*n = -3, -4*n + 17 = l. Let m = l - 19. Factor 9 + 33*a - 8*a**2 - 14 - 12*a**m - 13*a.
-5*(2*a - 1)**2
Solve -2/3*x**3 + 4/3*x + 5/9*x**2 + 0 + 1/9*x**4 = 0.
-1, 0, 3, 4
Let h be (-3)/2*(-3)/(81/36). Suppose 55*y - 60*y + 28 = m, -h*m - y = -11. Let 2/5*f**4 + 8/5*f - 24/5*f**2 + 2/5*f**m + 32/5 = 0. What is f?
-4, -1, 2
Let i = -857113/10 - -171437/2. Find d such that -i*d - 38/5 + 2/5*d**2 = 0.
-1, 19
Let n(f) = 4*f**2 + 11*f + 3. Let u(g) be the second derivative of -20*g**3 - 16*g**2 - 11/3*g**4 + 0 - 15*g. Let s(l) = -32*n(l) - 3*u(l). Factor s(c).
4*c*(c + 2)
Let n(u) be the first derivative of -9*u**6 + 486*u**5/5 - 315*u**4 + 700*u**3/3 + 625*u**2 - 1250*u - 1388. Find f, given that n(f) = 0.
-1, 5/3, 5
Let c(z) = z**3 - 28*z**2 - 60*z + 5. Let s be c(30). Let j(v) be the third derivative of 0*v**3 - 1/480*v**s + 1/64*v**4 - 16*v**2 + 0*v + 0. Factor j(w).
-w*(w - 3)/8
Let r(q) be the first derivative of -1/10*q**4 + 0*q - 28/15*q**3 + 3*q**2 + 117. Factor r(i).
-2*i*(i - 1)*(i + 15)/5
Let s be ((-162)/45)/(33/(-110)). Suppose -3*k = s, -5*i - 4*k - 10 = -2*i. Factor -i + 2/5*r**2 + 8/5*r.
2*(r - 1)*(r + 5)/5
Suppose 5*h - 3 = 14*t - 16*t, -2*t + 5*h + 13 = 0. Let p(o) be the second derivative of -1/126*o**t + 0 + 3*o - 5/21*o**2 + 2/21*o**3. What is j in p(j) = 0?
1, 5
Factor 0 + 2/3*v**3 + 2/3*v**2 - 4/3*v.
2*v*(v - 1)*(v + 2)/3
Let f be 16880/88000 + (-4)/22. Let k(n) be the third derivative of -f*n**5 + 2/15*n**3 - 10*n**2 + 0*n + 1/600*n**6 + 0 + 0*n**4. Factor k(d).
(d - 2)**2*(d + 1)/5
Determine m, given that 42/5*m**2 - 2/5*m**4 + 2/5*m**3 - 18*m + 0 = 0.
-5, 0, 3
Let l be ((-1)/(14/4))/((-40)/70). Let v = -120 + 120. Factor l*h**5 - h**4 - 1/2*h + v*h**3 + h**2 + 0.
h*(h - 1)**3*(h + 1)/2
Suppose 117*o = 170*o. Find s, given that o + 3*s - 3/2*s**2 - 3*s**3 + 3/2*s**4 = 0.
-1, 0, 1, 2
Let w be 2/((-4)/3)*(-97196)/141. Determine x, given that 52*x**4 - 128 + 98*x**5 - 10*x**4 + 1171*x - w*x**2 + 370*x**2 - 403*x - 1616*x**3 = 0.
-4, -1, 2/7, 4
Suppose -5538*u = -5527*u - 22. Let s(k) be the third derivative of 1/300*k**5 + 1/60*k**4 + 5*k - 1/100*k**6 + 0*k**3 - k**u + 0. Let s(v) = 0. What is v?
-1/2, 0, 2/3
Suppose -10*l + 56 = -17*l. Let z(t) = 29*t**2 - 292*t - 97. Let x(m) = 9*m**2 - 97*m - 32. Let v(k) = l*x(k) + 3*z(k). Factor v(n).
5*(n - 7)*(3*n + 1)
Determine k so that -48*k**3 - 131917*k**2 + 21*k**4 + 131581*k**2 + 3*k**5 + 0*k**5 = 0.
-7, -4, 0, 4
Let m(x) be the first derivative of x**3/4 + 123*x**2 - 996*x - 6429. Let m(j) = 0. What is j?
-332, 4
Let l(a) = a**2 - 10*a - 125. Let v be l(30). Let c = 478 - v. Determine j, given that -1/3*j**c - 2/3*j + 0 - j**2 = 0.
-2, -1, 0
Let x = -12970 - -12975. Find b, given that 2*b**4 + 0 + 3*b**3 - 4*b + 1/3*b**x - 4/3*b**2 = 0.
-3, -2, 0, 1
Let a(k) = -4*k**2 + 13*k + 9. Let d be (-103 - -20) + (0 - 3). Let j = 88 + d. Let m(v) = -v**2 + 3*v + 2. Let g(x) = j*a(x) - 9*m(x). Factor g(h).
h*(h - 1)
Let n = 14 + 381. Suppose 5 = 5*c, -5*r = 2*c + 3*c - n. Suppose r + 0*u**2 - 2*u**2 + 12*u - 88 = 0. What is u?
1, 5
Let p(w) = -106*w**2 - 32980*w - 7384. Let t(x) = -70*x**2 - 21987*x - 4922. Let o(a) = -17*p(a) + 26*t(a). Determine j so that o(j) = 0.
-611, -2/9
Suppose -25*j + 748 = 19*j. Let z be ((-9877)/(-364))/j - 6/(-39). Suppose 5/4*u**2 + 3/4 + z*u + 1/4*u**3 = 0. What is u?
-3, -1
Let i(c) = -7*c**2 - 6*c + 40. Let l(b) = -17*b**2 - 2 + 3*b**2 + 12 - b + 12*b**2. Let y(v) = -6*i(v) + 22*l(v). Solve y(x) = 0 for x.
2, 5
Let j(o) be the third derivative of -o**7/210 + 19*o**6/120 - 5*o**5/3 + 11*o**4/2 - 1870*o**2. Suppose j(s) = 0. Calculate s.
0, 2, 6, 11
Let -245*v**3 - 1083*v + 11620*v**2 + 7783*v + 843 + 117 = 0. Calculate v.
-2/7, 48
Factor -2/9*a**2 + 244/9 + 242/9*a.
-2*(a - 122)*(a + 1)/9
Let q(b) be the second derivative of 13/6*b**4 - b**5 + 1/15*b**6 + 6 + 36*b**2 + 3*b + 20*b**3. Find k such that q(k) = 0.
-1, 6
Let b be 80/(-200)*22395/(-6). Let f = b + -1493. What is q in f + 0*q + 3/5*q**2 - 3/5*q**3 = 0?
0, 1
Let x be (1/(-20))/((-690)/13800) - 1. Solve 16/5*s - 12/5*s**2 + 12/5*s**4 - 14/5*s**3 - 2/5*s**5 + x = 0.
-1, 0, 1, 2, 4
Let w(i) be the second derivative of -i**5/60 - i**4/18 + 13*i**3/18 - 5*i**2/3 - i. Suppose w(d) = 0. Calculate d.
-5, 1, 2
Let t(d) be the third derivative of d**5/105 - 5*d**4/21 + 2*d**3 - 1094*d**2. Factor t(h).
4*(h - 7)*(h - 3)/7
Let j(x) be the first derivative of x**8/1680 + x**7/420 - x**6/120 + 12*x**3 + x + 197. Let m(r) be the third derivative of j(r). Determine v so that m(v) = 0.
-3, 0, 1
Suppose 0 = q - 20 + 19, -5*q + 5 = 4*x. Let n(g) be the third derivative of x + 18*g**2 - 1/60*g**5 + 1/12*g**4 + 0*g + 1/2*g**3. Factor n(z).
-(z - 3)*(z + 1)
Let x(z) = -z**2 + 47*z - 1097. Let u(l) = 22*l - 548. Let v(y) = -5*u(y) + 2*x(y). Suppose v(r) = 0. What is r?
-21, 13
Let f be ((-75)/(-4))/(-9*(-3)/9). Let o be (-1)/(-5)*(-6 - -4 - -2). What is x in -5/4*x**3 + o - 5*x - f*x**2 = 0?
-4, -1, 0
Let z(s) be the first derivative of -2*s**3/27 + 52*s**2/3 + 632*s/9 + 47. Factor z(n).
-2*(n - 158)*(n + 2)/9
Let q(f) be the second derivative of -3/8*f**2 - 1/16*f**4 - 5/12*f**3 + 0 - 50*f. Factor q(m).
-(m + 3)*(3*m + 1)/4
Let j(n) be the second derivative of n**7/2520 + n**6/180 + n**5/72 + 6*n**3 - 2*n + 3. Let m(v) be the second derivative of j(v). What is s in m(s) = 0?
-5, -1, 0
Let w be (28/16)/((-28210)/(-9920)). Factor -w*y**2 + 8/13 + 2/13*y**3 - 2/13*y.
2*(y - 4)*(y - 1)*(y + 1)/13
Factor 1/4*a**4 - a**3 - 25/4*a**2 + 7*a + 0.
a*(a - 7)*(a - 1)*(a + 4)/4
Let m(p) = 1197 - 2402 + 1204. Let b(x) = x**5 + 0*x**5 + x**3 - 5*x**4 - 3 + 3*x**4. Let h(d) = -b(d) + 3*m(d). What is q in h(q) = 0?
0, 1
Let t be ((-3)/4)/(12 + 594/(-48)). Suppose 558*f - t = 557*f. Find l such that l - 6/5 - 1/5*l**f = 0.
2, 3
Let p(o) = 2*o**2 + 44*o - 18. Let l(c) = 3*c - 11. Let y be l(-4). Let x be p(y). Factor -4*k - 27*k**2 + x*k**2 + k - 6 + 2.
(k - 4)*(k + 1)
Let v(p) = 7*p - 135. Let b be v(25). Solve -u**4 + 24 - 58*u**2 + 1094*u**3 - b*u - 1078*u**3 + 11*u**4 = 0 for u.
-3, -1, 2/5, 2
Let d be 5*1*(6/15)/(-1). Let t be -3 - (-5)/(-2)*d. Let -7*i**2 + 4*i**4 - 2*i - t*i**2 + 4*i**3 + i**2 + 3 + 1 - 2*i**5 = 0. Calculate i.
-1, 1, 2
Let a(h) be the second derivative of h**5/20 - h**4/12 + h**3 - 13*h**2/2 - 256*h. Let p be a(2). Factor -3*r - 12/5*r**2 - 6/5 - 3/5*r**p.
-3*(r + 1)**2*(r + 2)/5
Suppose 1/4*k**2 - 45/4*k - 125/2 = 0. Calculate k.
-5, 50
Let l = -13 + 17. Suppose 30*m**2 - 6 - 14*m - 5*m**l - 18*m**3 + 7*m**4 + 6 = 0. Calculate m.
0, 1, 7
Let g be 0/(-1*(9/3 - 4)). Let p(x) be the third derivative of 11*x**2 + 1/150*x**5 - 1/60*x**4 + 0*x + g + 0*x**3. Factor p(d).
2*d*(d - 1)/5
Let l be (12/39)/((-880)/(-8580)). Determine p so that -3/2*p**2 - 3*p - 1/4*p**l - 2 = 0.
-2
Factor -1/2*m**4 + 105*m + 107/2*m**2 + 0 - 52*m**3.
-m*(m - 2)*(m + 1)*(m + 105)/2
Let l(r) be the second derivative of r**6/10 + 69*r**5/10 + 89*r**4/4 + 22*r**3 - 196*r - 2. Factor l(q).
3*q*(q + 1)**2*(q + 44)
Let z(f) be the second derivative of -464/39*f**3 + 13/10*f**5 + 36/13*f**2 - 72*f + 113/6*f**4 + 0. Factor z(a).
2*(a + 9)*(13*a - 2)**2/13
Let i(p) be the third derivative of p**7/525 + 27*p**6/100 - 83*p**5/50 + 251*p**4/60 - 28*p**3/5 + 7506*p**2. Determine r, given that i(r) = 0.
-84, 1
Let w(y) be the first derivative of -3*y**7/700 - y**6/36 - y**5/25 + y**4/15 + 116*y**3/3 - 76. Let i(p) be the third derivative of w(p). Factor i(q).
-2*(q + 1)*(q + 2)*(9*q - 2)/5
Let
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{
"pile_set_name": "DM Mathematics"
}
|
31*x + 44835*x for x.
-8
Solve 5*r - p + 17 = 0, -37223*r - 45 = -37214*r + 3*p for r.
-4
Solve 3*u + 14 - 4 + 41 = 0, -4*f + 170 = u + 3*u - 14*u for f.
0
Solve -52*f - i + 116 = -9, -f - 4*i = -3*i - 23 for f.
2
Solve -11678*h + 5*p - 53 = -11676*h, 6*h - 2*p = -94 for h.
-14
Solve -2*z = 3*m - 70, 119*m - 224*m - 5*z + 141 = -106*m for m.
4
Solve -17 - 43 = -9*l - 3*j + 21, -4*l + 3*j = -36 for l.
9
Solve 6*b - 88*a + 47*a = 5*b - 5*b - 43*a + 36, -60 = -10*a for b.
4
Solve t = -5*j - 31, -j - 19 = 7481312*t - 7481315*t for j.
-7
Solve 4*h + 5*p + 11338 = 11411, 23*p + 28 = 3*h for h.
17
Solve -4*s + 88 = -6*k, 0 = -25*s + 27*s + 39*k - 43*k - 62 for s.
-5
Solve 0 = -2*y - 3*q - 38, -38*y + 40*y - 1566 = 4*q - 1506 for y.
2
Solve -2*c + 4950 - 9898 = -2*z - 4980, z = -5*c - 16 for c.
0
Solve 70 = 5*n - 6*s + 4*s + 4*s - 4*s, 17*s = -n - 421 for n.
4
Solve 81*g + 108 = -5*j, -4158*j = -2*g - 4156*j - 60 for g.
-3
Solve 273*h - 269*h = 4*q - 20, 14*h + 10*q + 94 = 0 for h.
-6
Solve 4*c = -1807*r + 99397, -2497 = 2*c - 3*r - 0*r - 2338 for c.
3
Solve 15096*u + 1107 = 15091*u - 29*i, 2*u = 3*i + 112 for u.
-1
Solve -4*r - 490*k + 491*k = 7, -r = 3*k + 18 for r.
-3
Solve -4*d - 108 = -24*n + 48*n, 4*d - 2*d + 4*n = -14 for d.
3
Solve -5*x + 80795*g = 80799*g - 392, 0 = -11*x - 3*g + 265 for x.
-4
Solve 5*h + h - 9 = 3*w + 3*h, 171*h - 1 = -3*w + 169*h for w.
-1
Solve 19*t - 10*s + 9*s = 8*t - 31, 2*t + 5*s = -11 - 5 for t.
-3
Solve -j + 4*w = 2, 22836*j - 22796*j - 4*w - 388 = 0 for j.
10
Solve u - 3*u + 5*t + 87 = -0*t, -6327*t - 175 = -5*u - 6323*t for u.
31
Solve -3*u = 6*j + 15, -3*u - 9*j - 1015 = -1003 for u.
-7
Solve -1900*l + 1904*l + 140 = -4*w, l - 2*w = -29 for l.
-33
Solve -3*o = -4*u + 7, 4*o - 3*u = -13 - 18 + 17 for o.
-5
Solve l + 1 = 16*v - 13*v, 0 = -52*v - 104 for l.
-7
Solve -4*z - 9 = -2*l - 37, 1358*z + 540 + 1273 = -3*l + 7101 + 5582 for z.
8
Solve -160 = c - 3*r - 162, 12 = -c - 4*r for c.
-4
Solve 10*o - 73 - 35 = 4*j + 14*o, -4*j + 5*o = -108 for j.
-3
Solve 58*r - 57*r + 9 = 4*c, 11*c - 4*r - 8 - 7 - 21 = 0 for c.
0
Solve -2*s + 1139 - 1177 = 4*w, -5*w + 50 = -4*s for s.
-15
Solve 2*n - n = y, 263*n = 4*y + 243*n + 16 for y.
1
Solve l + 0*m - 2*m + 6*m - 71 = 6*l, -17*l = -5*m + 35 for l.
5
Solve -57 + 60 = 3*w, -2*c + 45*w - 41*w = 0 for c.
2
Solve 68 = 282*u - 278*u + 4*t, -275 = 5*u - 19*t for u.
2
Solve -529*k + 528*k - 6*o = -2*o + 12, -3*k + 8*o = 2*k - 24 for k.
0
Solve -12 = 4*u + 6*m + 51 + 15, -4864*u = -4861*u + 17*m + 196 for u.
-3
Solve -2*t + 10 = -2*o, -3*t - 7*o = -4*t + 71*o + 390 for t.
0
Solve 2061 = 2*k + 3*u + 2063, 2*k - 6*u - 18 = -2 for k.
2
Solve -z - 68 = -3*z + 4*v, -2*z = -4428*v + 4430*v - 38 for z.
24
Solve 21*w - 331 = 4*h, 4589*w = 4590*w - 15 for h.
-4
Solve h - 11 + 5 = 0, -3*s - 3 = -2*h + 7 - 2 + 7 for s.
-1
Solve 4794 = -109*r + b, -b - 72 = r + r + 18 for r.
-44
Solve 240 = -u + 6*u - 2*i, 4*i + 1880 = -184*u + 222*u for u.
50
Solve -5*c + 35 = f + 6 + 16, 3*c + 3 = 0 for f.
18
Solve -89*g + 24 = -81*g + 2*y, 28 = 4*g + 5*y for g.
2
Solve 2*a - 4 = d + 14, 3*a - 47 = 15*d - 11*d for d.
-8
Solve 3*d = -2*h - 10, 5*d = -30*h + 2*h - 288 for d.
4
Solve 9663 = 5*c - 10*r + 9458, 3*c = r + 18 for c.
-1
Solve 0 = -5*l, 4*t - t + 0*t - 41 = 3*t + t - 44*l + 1 for t.
-42
Solve -6*c + 235 = 7*f + 2*f - 10*f, -6*f + 0*f - 3*c = -150 for f.
5
Solve -37*c - 13 - 14 = -42*c - 7, 12 = 2*m - 2*c for m.
10
Solve 4*d = -5*n - 3, 3*d + 0*d - 286660*n - 3 = -286662*n for d.
3
Solve -q - 3*k + 11 = 0, -9*q + 4*q + 4*k + 10 = -7 for q.
5
Solve -35 = -6*d - 5*l, 5*l - 84 = 4*d - 49 for d.
0
Solve -4*a - 11*y + 27 = 0, 5*a + 536*y = 538*y + 18 for a.
4
Solve -8*g = -n + 3*g + 18 + 26, 42 = -2*n - 4*g for n.
-11
Solve -604*s + z - 21 = -599*s, 3*s + 7*z + 9 = -s for s.
-4
Solve -4*p = -4*z + 24, -2907*z = p - 2903*z - 24 for p.
0
Solve -4*o + 96*f = 99*f - 15 - 15, 45 = -3*o + 9*f for o.
3
Solve 2*l + 267 = -30*y + 151 - 4, -20 = -3*l + 5*y for l.
0
Solve 3*i - 97 = 2*u, 12*u + 18*u = 8*i + 35*u - 300 for i.
35
Solve 3*z - 2*z - 120 = -5*g - 10, 0 = 529*z - 533*z - 14*g + 302 for z.
-5
Solve -p + 5*x - 4 = 0, -5*x - 32 = -39*p + 42*p for p.
-9
Solve 247 = 1838*y - 1850*y - 5*x, -25 - 351 = 8*x for y.
-1
Solve 4*a + 6*t = a + 8*t - 8, a = t - 2*t - 6 for a.
-4
Solve 5*r = z - 21, -2*z + 1122 - 1104 = -4*r for r.
-4
Solve 4*y - 1845 = -3*p - 1807, 2*y = 3*p - 26 for y.
2
Solve -3*m = -5*q + 4*m - 55, 4*q + 5*m + 2 - 11 = 0 for q.
-4
Solve 0*o - o + 2*q - 7 = 0, 4*o + 28 = -36*q + 38*q for o.
-7
Solve 7*q - 2*q + 6*i = 716 - 683, 4*q + 4*i = 24 for q.
3
Solve 20 = 2*o - 4*l, 885*o + 3*l - 8*l - 77 = 876*o for o.
8
Solve -58*x = -5*s + 12951536 - 12951332, 0 = -3*s + 18 for x.
-3
Solve -9476 = 316*c - q, -136 = -17*c + 9*c + 12*c + 4*q for c.
-30
Solve -2*l + 1 = 5*j, -57*l + j = -115*l + 57*l - 1 for l.
-2
Solve -2*j = 2*u + 60, -3*u + 113 = -u - 2*j + 53 for u.
0
Solve -3*z - 85 = 2*k, -10*k + 7*z + 144 = -k + z for k.
-2
Solve 62*u = 11*u - 5*f - 133, f + 13 = -3*u + 2*f for u.
-3
Solve 120*u - 17*j - 60 = 115*u - 12*j, -3*j = 12 for u.
8
Solve 6*l - 20*w = -96, 12*l - 71 = 16*l - 3*w - 7 for l.
-16
Solve -26*f + 973 = 5*b + 656, -5*f = -2*b - 58 for f.
12
Solve -2806 = c + 4*l - 2795, 4*c + 5*l = 0 for c.
5
Solve -49*k - s - 396 = 0, 14143 = 4*k - 3*s + 14163 for k.
-8
Solve -4*s + 1315186*v + 37 + 0 = 1315187*v, 86 = 2*s + 2*v for s.
-2
Solve 0 = 5*m - 2*t - 25, -3690*m + 3686*m - 3*t = -20 for m.
5
Solve 3*x = 4*o - 1, 993*o - 994*o + 10 = -4*x for o.
-2
Solve 56 = 5*y - 10*l - 9, -1823*l + 1818*l - 85 = -5*y for y.
21
Solve -8*u + 11*u + 0*u = 63*d + 102, 5*u + 0*u + 64 + 8 = -16*d for u.
-8
Solve 13*m + 2*t = -55, 12*t - t - 8*t + 15 = -6*m for m.
-5
Solve -z + 28 = u + 31, 2*u + 570 = 3*u - 190*z for u.
0
Solve 9*x - 169 = -5*y, 10036*y = -2*x + 10037*y + 46 for x.
21
Solve -24*l = -5*n - 16*l + 56, -2*n - 21 = -0*n + 3*l for n.
0
Solve 0 = -a + 6*g - 107, 0 = 2327*a - 2313*a + g + 53 for a.
-5
Solve -3*s - 43*v = -38*v - 32, 4*s + 30 = 4*v + 30 for s.
4
Solve 74*u + 102 = -22*u + 94*u - 3*c - 53, 0 = -8*u + 3*c + 205 for u.
5
Solve 30*j + x = 35*j + 158, 0 = 7*j - 2*x + 223 for j.
-31
Solve 2*k - 534 = 8*u, 433*u - 431*u - 2*k = -126 for u.
-68
Solve -110 = -8*n + 5*k, 2*k - 17 + 57 - 32 = -4*n + 3*k + 18 for n.
-5
Solve 11*x + 5*n + 100 = 0, 0*x - 2*n + 8 = -3*x + 11 for x.
-5
Solve 2*f - 26 = 2*w, -409*w - 30*f + 365 = -414*w for w.
-1
Solve 23 = -3*u - 29*z, 5*z + 1 = 2527*u - 2529*u for u.
2
Solve 0 = 2*l - 38*u - 116, 29*u - 31*u = l - 16 for l.
20
Solve c - 3*q = 10703 - 10686, 3*q = -9*c + 33 for c.
5
Solve -3*r = 4*b + 30, 12*b - 7*b = r - r for r.
-10
Solve -2*q + 96 = 36*g - 40*g - 4*q, -4*q = 3*g + 82 for g.
-22
Solve 7*j + 0 + 5 = -3*d, 55*j - 19 = 56*j + 5*d for j.
1
Solve -17*v - 58 = -27*v + 4*k, -7*k = -5*v + 39 for v.
5
Solve -4*z - 184 = -9*h, 10 = -3*z + 674355*h - 674354*h - 13 for z.
-1
Solve 0 = -5*d - 3*y - 111, -23*d - 5*y + 5461 = 5998 for d.
-24
Solve -r + 63 = 7*w - 2*w, -4*w + 99 - 48 = r for w.
12
Solve -4 = -5*v + s + 12, 2477*v - 2480*v - 6*s + 3 = 0 for v.
3
Solve -14*w + 3*n = -53, 6884*w - 6889*w - n = -21 for w.
4
Solve 14*t - 42 = -6*h - 190, 5*t + 4*h + 35 = 23 - 39 for t.
-11
Solve -3*u + 3*i - 15 = 0, 0*u + 54 = 2*u - 6*i + 136 - 52 for u.
0
Solve v + 7*u - 42 = 75, -9*v + 5*v - 60 = -5*u for v.
5
Solve -d - 5*i = 20, 14*i + 110 = -159*d + 153*d - 14*i + 3*i for d.
-10
Solve 22*x - 6*o = -24*x + 42*x - 236, 0 = -x + 3*o - 65 for x.
-53
Solve -5*p + 2*j = 8*p - 84, -p = 6*p - 2*p - 6*j - 320 for p.
-2
Solve 3315*p - 3310*p + 193 = -4*t, -4*p - 146 = 3*t for t.
-42
Solve -802*s + 74 = -3*y - 807*s, 0 = 5*y + s + 138 for y.
-28
Solve -r - 2*l + 2 = 0, -2*r - 2*l = -14430 + 14428 for r.
0
Solve -1116*j + 1113*j = 2*m + 4, 2*m + 88 = 18*j for j.
4
Solve -2*d - 2*l + 384 = -400 + 854, 7*d = -3*l - 245 for d.
-35
Solve 0 = 3*p - 9*n - 30, -2*p = -5*n - 25265 + 25250 for p.
-5
Solve 38 + 74 = -6*g - 4*d - 16, 3*d + 17 = 5*g + 92 for g.
-18
Solve 2*o - b + 23 = 0, -6981 = -21*o + b - 7232 for o.
-12
Solve 5*i = -1887*r + 1931*r - 230, 2*r - 14 = 2*i for r.
5
Solve a - 5*q - 54 = 0, -6*q + 48 = -3*a - 31*q + 19*q for a.
4
Solve 2*c - 365 = 12*y - 301, c = -3*y - 22
|
{
"pile_set_name": "DM Mathematics"
}
|
3*o**n - 13/3*o**4 + 1/3*o**2 + 0 + 2/3*o - 5/3*o**5.
-o*(o + 1)**3*(5*o - 2)/3
Factor -7*l - 5 - 2*l**2 - l + 6 - 9.
-2*(l + 2)**2
Let j(p) = -10*p**3 + 28*p**2 - 26*p + 2. Let t(u) = -u**2 + u - 1. Let d(c) = -2*j(c) + 12*t(c). Factor d(z).
4*(z - 2)*(z - 1)*(5*z - 2)
Let z(n) be the third derivative of 0*n + n**2 + 0*n**3 + 1/120*n**6 + 0*n**5 + 1/105*n**7 + 1/336*n**8 + 0*n**4 + 0. Solve z(l) = 0 for l.
-1, 0
Suppose n + 4 = 13. Let i = n + -7. Factor 1 + s + 1/4*s**i.
(s + 2)**2/4
Let u = 0 - 0. Let q(x) be the third derivative of -2*x**2 + u - 1/60*x**6 + 0*x + 0*x**3 + 0*x**4 + 1/60*x**5. Factor q(v).
-v**2*(2*v - 1)
Let m be 1/(-5)*15/(-6). Let f = 0 - 0. Determine d so that 1/2*d - d**2 + m*d**3 + f = 0.
0, 1
Let j(v) be the first derivative of -3*v**5/35 + 3*v**4/4 - 18*v**3/7 + 30*v**2/7 - 24*v/7 + 7. Determine g, given that j(g) = 0.
1, 2
Suppose 0 = -t - t. Suppose t*g = -5*g + 15. Let -z**3 - 2*z**2 + 0*z**3 - z**g = 0. What is z?
-1, 0
Let y(u) be the first derivative of u**5/110 - u**4/66 - 2*u**3/33 + 2*u - 4. Let d(o) be the first derivative of y(o). Suppose d(b) = 0. Calculate b.
-1, 0, 2
Suppose 4*j = -r - 0*j - 1, -3*j = -3*r + 12. Let n(c) be the second derivative of 1/10*c**5 + 2*c + 0 - 1/2*c**4 - c**2 + c**r. Suppose n(m) = 0. What is m?
1
Let g(p) be the first derivative of p**5/10 + p**4/4 - p**2/2 + 3*p + 3. Let b(c) be the first derivative of g(c). Solve b(l) = 0 for l.
-1, 1/2
Let l be (-118)/120 + -5 + 6. Let k(t) be the second derivative of 0*t**2 + 0 + 0*t**3 + l*t**4 + 2*t. Factor k(a).
a**2/5
Let i(r) be the second derivative of -1/8*r**4 + 0 - 1/240*r**6 + r - 3/80*r**5 + 1/2*r**2 - 1/6*r**3. Let y(d) be the first derivative of i(d). Factor y(f).
-(f + 2)**2*(2*f + 1)/4
Suppose 46 - 6 = 4*z. Let j be -2 - -1*22/z. Factor 0 - j*t**2 - 1/5*t.
-t*(t + 1)/5
Suppose 3*i = -3*r + 27, r + 5*i - 2 = 27. Suppose r - 2 = u. Let -3*t**4 + 3*t**3 - 9*t**3 - 2*t**2 - 3*t**4 - u*t**5 = 0. What is t?
-1, 0
Let b(g) be the third derivative of 0 + 1/672*g**8 - 1/140*g**7 - 1/24*g**4 + 0*g + 3*g**2 + 1/40*g**5 + 1/240*g**6 + 0*g**3. Find h, given that b(h) = 0.
-1, 0, 1, 2
Let c(v) be the first derivative of v**8/168 - v**6/60 - v**2 + 3. Let s(r) be the second derivative of c(r). Determine x, given that s(x) = 0.
-1, 0, 1
Let j(l) be the first derivative of 0*l**4 - 2/9*l + 4/27*l**3 - 1 + 0*l**2 - 2/45*l**5. Solve j(n) = 0.
-1, 1
Let r(q) be the first derivative of -1/3*q**3 - 2 + 0*q**2 + 0*q - 5/8*q**4 - 3/10*q**5. Let r(i) = 0. What is i?
-1, -2/3, 0
Let 4*l + 5*l**3 + 19*l**2 - 27*l**2 - l**3 = 0. Calculate l.
0, 1
Suppose d + 4 = -m + 2, 0 = 2*d - m - 2. Solve 6*g - 3 + d + 2*g**2 + 2 + 5 = 0 for g.
-2, -1
Let j(f) be the first derivative of 0*f**2 - 1/3*f**3 - 5 + 1/10*f**5 + 1/2*f + 0*f**4. Find p such that j(p) = 0.
-1, 1
Suppose u + 8 = 3*u. Let v = 7 - u. Factor 2*r**3 + 0*r**v - 4*r**3.
-2*r**3
Factor 60*t - 39*t**2 + 44*t**2 - 23 + 203.
5*(t + 6)**2
Let k = 88/3 + -29. Suppose -k*u**2 + 0*u + 0 = 0. Calculate u.
0
Let p = 362/9 + -40. Find o, given that p*o**3 + 0*o**2 - 2/9*o + 0 = 0.
-1, 0, 1
Let y be 190/440 + (-2)/11. Solve -1/4*u**4 + 1/2*u**3 + y*u**2 + 0 - 1/2*u = 0.
-1, 0, 1, 2
Solve 0*u + 1/3*u**4 - 1/3*u**2 - 7/6*u**5 + 0 + 7/6*u**3 = 0 for u.
-1, 0, 2/7, 1
Determine c so that 8 + 4*c**4 + 46*c**2 - 20*c**3 - 10*c**2 + 0 - 28*c = 0.
1, 2
Let u(d) = -20*d**4 + 16*d**3 - 4*d**2 + 8*d. Let c(t) = 7*t**4 - 5*t**3 + t**2 - 3*t. Let p(m) = 8*c(m) + 3*u(m). Factor p(w).
-4*w**2*(w - 1)**2
Let d = -41 + 41. Let i(r) be the third derivative of 0*r - 1/90*r**5 + d - 1/9*r**3 - r**2 + 1/18*r**4. Factor i(z).
-2*(z - 1)**2/3
Let 0 + 3/4*q**4 - 3/4*q**2 + 0*q + 0*q**3 = 0. Calculate q.
-1, 0, 1
Let b(x) be the third derivative of -x**9/6720 + 13*x**8/6720 - x**7/105 + x**6/60 + x**5/12 + 6*x**2. Let p(y) be the third derivative of b(y). Solve p(s) = 0.
1/3, 2
Let c be 0 + (2 + -1 - -1). Let t = 255/518 + 2/259. Factor t*n**c - 1/4*n**3 - 1/4*n + 0.
-n*(n - 1)**2/4
Let s(v) be the third derivative of v**6/480 - 3*v**2. Suppose s(y) = 0. What is y?
0
Let a(y) be the third derivative of -3/8*y**4 - 2/35*y**7 + 1/3*y**3 + 0*y - 4*y**2 + 0 + 1/6*y**5 + 5/336*y**8 + 1/30*y**6. Determine o so that a(o) = 0.
-1, 2/5, 1
Let b(v) be the third derivative of v**8/7560 - v**6/1620 - v**3/6 + 5*v**2. Let z(a) be the first derivative of b(a). Determine i, given that z(i) = 0.
-1, 0, 1
Let j = -57 + 96. Let c = j - 37. Factor -2/5*i + i**c + 0 - 3/5*i**3.
-i*(i - 1)*(3*i - 2)/5
Suppose 0*b - 6 = -2*b. Factor -3*k - b*k**4 - 7*k**4 + 5*k**4 - 3 + 6*k**2 - 3*k**5 + 6*k**3 + 2*k**4.
-3*(k - 1)**2*(k + 1)**3
Let k(q) = q**2 + q - 7. Let l be k(3). Suppose -l*i = -0*i. Solve -1/5*x**4 + 0*x - 2/5*x**3 + 0*x**2 + i = 0.
-2, 0
Let m be 2/((42/8)/3). Suppose -m*w**3 + 0 + 4/7*w + 24/7*w**4 - 10/7*w**2 = 0. What is w?
-2/3, 0, 1/2
Suppose -4*q + 107*t - 104*t = -25, -28 = -4*q + 4*t. Solve -1455/2*r**3 + 417*r**2 + 600*r**q - 114*r + 12 - 375/2*r**5 = 0 for r.
2/5, 1
Let k(j) be the third derivative of j**8/6720 + j**7/2240 - j**6/960 + j**5/20 - 5*j**2. Let a(b) be the third derivative of k(b). Factor a(s).
3*(s + 1)*(4*s - 1)/4
Suppose 0 = 7*d - 5*d. Factor -2*y**3 + 2*y**2 - y + d*y**2 + y**3.
-y*(y - 1)**2
Suppose 2*m = 2*j + 3*j + 8, -4*j - 7 = -m. Let p be (-3)/(-1) - 0/j. Factor 6*g**4 - 2*g**p + 2*g - g**4 - g**4 - 2*g**2 - 2*g**4.
2*g*(g - 1)**2*(g + 1)
Let i be ((-2)/(-6))/((-1)/(-9)). Let k = -1 + i. Factor 2*t**2 - t**k - 2*t**2 + t**4.
t**2*(t - 1)*(t + 1)
Let u(v) = v**2 + 2*v - 5. Let j be u(-4). Let k(d) = -d**3 + 3*d**2 + 2*d - 3. Let w be k(j). Solve -3/4*s**5 + 5/2*s**w + 1/2*s**4 + 1/2 - 3*s**2 + 1/4*s = 0.
-2, -1/3, 1
Suppose 2 = -52*r + 53*r. What is h in 14/9*h**3 + 0 - 46/9*h**r + 4/3*h = 0?
0, 2/7, 3
Let j(s) be the first derivative of -35*s**3/3 - 45*s**2/2 - 10*s - 3. Suppose j(r) = 0. What is r?
-1, -2/7
Suppose 3*d = -2*i, d + 4*i = -6 - 4. Let s(y) be the third derivative of 0*y + 0 + 2*y**d - 1/6*y**3 + 1/120*y**5 - 1/48*y**4. Let s(l) = 0. What is l?
-1, 2
Solve 0*c**2 + 8/17*c**3 + 0 + 16/17*c**4 + 6/17*c**5 + 0*c = 0.
-2, -2/3, 0
Determine q, given that q**2 - 8/5*q - 1/5*q**3 + 4/5 = 0.
1, 2
Let b be 25 + (2 - 3 - -2). Suppose -b = -4*s + 2*s. Determine c, given that -14*c**4 + 12*c**5 - 15*c**4 - s*c + 6*c**4 + 21*c**2 + 2 + c**3 = 0.
-1, 1/4, 2/3, 1
Let g(h) = -2*h**3 + 2*h**2 + 17*h. Let u be g(0). Factor u*b**3 + 2/3*b**4 - 4*b**2 - 2 - 16/3*b.
2*(b - 3)*(b + 1)**3/3
Let a(b) be the third derivative of b**5/45 - 4*b**4/9 + 32*b**3/9 + b**2. Suppose a(g) = 0. Calculate g.
4
Let d(q) = q**3 + 7*q**2 + q + 10. Let z be d(-7). Let p(s) be the first derivative of 0*s + 0*s**2 + 2/3*s**z + 2. Factor p(l).
2*l**2
Let r(a) = 40*a**3 + 176*a**2 + 59*a + 5. Let k(y) = 20*y**3 + 88*y**2 + 30*y + 2. Let d(g) = -5*k(g) + 2*r(g). Determine z, given that d(z) = 0.
-4, -2/5, 0
Let v be (-34)/119*(0 + -14)/2. Factor 2/7*h**v + 0*h - 2/7.
2*(h - 1)*(h + 1)/7
Suppose 2*o = o - 3. Let d be 1 + (-27)/(-12) + o. Let 1/4*s + d*s**3 + 1/2*s**2 + 0 = 0. What is s?
-1, 0
Let b(n) = -21*n + 30. Let k(y) = -y**2 - 43*y + 61. Suppose 35 = -2*q - 3*q. Let l(r) = q*b(r) + 3*k(r). Factor l(w).
-3*(w - 3)**2
Let n be -2 + (-1 + -44)/(-3). Suppose -4*m - n = -5*o + 3, -1 = o - 5*m. Factor a**5 - a**3 + 3*a**o - 3*a**4 - a**4 + a**2.
a**2*(a - 1)**2*(a + 1)
Let g = 11 + -5. Let h(v) be the second derivative of 1/168*v**7 + 2*v + 1/40*v**5 - 1/24*v**4 - 1/8*v**2 + 0 + 1/40*v**g - 1/8*v**3. Solve h(f) = 0.
-1, 1
Find o, given that 0 - 8/5*o + 6/5*o**3 - 13/5*o**4 + 4*o**2 - o**5 = 0.
-2, 0, 2/5, 1
Let s(g) = 2*g**5 - 4*g**4 - 5*g**3 + 7*g**2 + 3*g + 3. Let p(l) = -4*l**5 + 8*l**4 + 11*l**3 - 15*l**2 - 7*l - 7. Let m(r) = 3*p(r) + 7*s(r). Solve m(j) = 0.
-1, 0, 1, 2
Let c = -39 - -157/4. Suppose 4*w + 20 = i - w, 3*w + 12 = 3*i. What is r in -1/4*r**5 + 0*r**4 + 0 + i*r**2 - c*r + 1/2*r**3 = 0?
-1, 0, 1
Let l be 0/(-5) + 128/6. Let g = 51 - 151/3. Let -l*h**3 + 17*h**2 + 28/3*h**4 + g - 17/3*h = 0. What is h?
2/7, 1/2, 1
Let l(y) be the second derivative of 2/27*y**4 - 7*y + 0 + 1/9*y**3 - 1/9*y**2. Factor l(d).
2*(d + 1)*(4*d - 1)/9
Let t be 21/35*5*1. Suppose -2*p**4 + p**5 + 10*p**2 + p**t + 5*p + 1 + 7*p**4 + 9*p**3 = 0. Calculat
|
{
"pile_set_name": "DM Mathematics"
}
|
**(-25) assuming g is positive.
g**(-80850)
Simplify (l/(l*l**(-2/3)))**(-2/149)*l*l/(l**(-8)*l)*l*l**(-1/10) assuming l is positive.
l**(44213/4470)
Simplify (x**(2/5))**(29/2)*((x*x**(1/6)*x*x)/x)/(x/x**(-12)) assuming x is positive.
x**(-151/30)
Simplify ((h*h**(-13))/(h**10/h))/(h/h**(-2)*h*h)**(-2/11) assuming h is positive.
h**(-221/11)
Simplify (b/(b/b**1)*b*b*b**11)/((b/(((b*b**(-7))/b*b)/b))/b*b*((b/(b/(b*b/(b/(b**(-8)/b)))))/b*b)/b) assuming b is positive.
b**15
Simplify (h**(2/61)*h**3)/(((h/h**12)/h*h)/(((h/((h/((h*h*h**19)/h)*h)/h))/h)/h)) assuming h is positive.
h**(1954/61)
Simplify ((f**(1/8)/f)/f**(-6))/(f*f**(-10)*f*f*f*(f**7/f)/f) assuming f is positive.
f**(49/8)
Simplify ((u**(-8)*u)/u)**(-18)/(u**(-7))**(-10) assuming u is positive.
u**74
Simplify ((c*c**(1/2))**(-2/7)*(c*(c*c/(c**(1/5)/c*c))/c)**(2/43))**(-3/2) assuming c is positive.
c**(1557/3010)
Simplify (f**(-13/3)/(f*f**(10/9)/f))/(f**(-2/65)/f*f**(-3/17)) assuming f is positive.
f**(-42139/9945)
Simplify (y**(-1/2)/((y/(y*y*y**11/y))/y))/((y*y/(y**12/y))/(y*y**1/y)) assuming y is positive.
y**(43/2)
Simplify ((y*(y**(-31)*y)/y)/y)/((y*y**26)/y)*(y**22)**11 assuming y is positive.
y**185
Simplify (r*r*r**(1/3)*r*r)**(-21/8)*(r*(r**(-3/4)*r*r)/r)**(3/28) assuming r is positive.
r**(-1259/112)
Simplify (((b*b**(-1/4)/b*b)/b)/(b*b**(5/6)))/((b**(3/2)/b)/((b*b/b**12)/b)) assuming b is positive.
b**(-163/12)
Simplify ((t*t**5/t*t*t)/t*t)**(1/2)/(t/(t/t**25))**23 assuming t is positive.
t**(-1143/2)
Simplify ((x**(-2/3)*x*x*x**0*x*x)/(x/x**(-2)*x**(-6)))**1 assuming x is positive.
x**(19/3)
Simplify ((r**(2/27)*r*r**(-1/4))**48)**(2/11) assuming r is positive.
r**(712/99)
Simplify n*n/((n*n*n/(n*(n/(n**(2/9)*n*n))/n*n*n)*n)/n)*n**(4/5)/n*(n**(-7/2))**48 assuming n is positive.
n**(-7579/45)
Simplify (i**4/i)**(-12)/(i/(i**(-7)/i*i)*i*i**(-13)/i*i) assuming i is positive.
i**(-32)
Simplify d**(-13)/(d*d/d**(-10/7))*d/(d*d*d*d**6)*d/(d*d/((d**(-1/4)/d)/d)) assuming d is positive.
d**(-775/28)
Simplify n**(-8)*n**(-3)*(n/((n*n**15)/n))/n*n*n*n**6 assuming n is positive.
n**(-18)
Simplify x**(-2/19)/(x/x**(-1/2))*((x*x**(-2))/x*x)**(-3/13) assuming x is positive.
x**(-679/494)
Simplify (r**(-2/23)/((r/((r**4/r)/r)*r)/r))/(r**15*r**(-1/25)) assuming r is positive.
r**(-8077/575)
Simplify ((u/(u/u**3))**(-2/35)*u/(u*u**8)*u*u*u**4*u)**(2/81) assuming u is positive.
u**(-82/2835)
Simplify ((v*v*v**0)**(-8/3)*v**4/((v*v**4)/v))**(-3/10) assuming v is positive.
v**(8/5)
Simplify q**4/q*q/q**(-2/95)*(((q*q**(-9))/q)/q)/(q*q/q**(2/23)*q) assuming q is positive.
q**(-19429/2185)
Simplify (d/(d*d/(d/d**6))*d)/(d**(2/11)*d)*d*d**5*(d**(7/4)*d)/d assuming d is positive.
d**(69/44)
Simplify ((c*(c/((c*c**(-4/9)*c)/c))/c)/c)**(1/20)/(c**(-1/6))**(-3/14) assuming c is positive.
c**(-4/63)
Simplify s/(s/(s/(s*s*s*s**(2/3))*s)*s)*s/(s*s**(-15))*(s*s**11)/s*s*s**14*s assuming s is positive.
s**(118/3)
Simplify (((j*j*j*j/(j/(j*j**(2/7)))*j)/j)/j)**44*((j*j/(j**(-1/4)*j)*j)/j)/(((j*j**19*j)/j)/j) assuming j is positive.
j**(3551/28)
Simplify (s*s**(-11/5)*s)**(-6)*(s**(-2))**(-38) assuming s is positive.
s**(386/5)
Simplify (((b*b**(2/3)*b*b*b*b)/b)**(-14)/(b**(-1))**(-9/11))**(-45) assuming b is positive.
b**(32745/11)
Simplify ((((k*k**(3/4))/k)/k**(-2/3))**(3/17))**(4/15) assuming k is positive.
k**(1/15)
Simplify (n*n**(2/17))**(4/17)/(n*n**13*n/n**0) assuming n is positive.
n**(-4259/289)
Simplify i/i**(-5/4)*i/i**14*i**(-2/5)*i**9 assuming i is positive.
i**(-43/20)
Simplify (x**(-2/61))**4/(x**(2/41))**(-1/26) assuming x is positive.
x**(-4203/32513)
Simplify ((j/(j**(1/5)*j)*j*j*j)/(j/(j*j**(-3/7)*j)*j))/(((j*(j*j**10*j)/j*j)/j)/(j**(-2/13)/j)) assuming j is positive.
j**(-4906/455)
Simplify u/(u/((u**(-4/5)*u*u)/u))*u/((u*(u*u/u**(-8))/u)/u*u)*(u**10/u*u)/(u**(-2/13)/u) assuming u is positive.
u**(153/65)
Simplify (o**3/o*o)**(-1/46)/((o/(o*o**(-14))*o)/o**(2/71)) assuming o is positive.
o**(-49111/3266)
Simplify (i/(i**(-1/6)/i))**(-1/75)/(i**(-4/17)/i**(-4/3)) assuming i is positive.
i**(-8621/7650)
Simplify (((p/p**16)/p)/(p**(3/38)*p*p))/(p*p*(p*p/(p/(p**(-32)/p))*p)/p)**(-9/5) assuming p is positive.
p**(-2739/38)
Simplify ((((((h**(-4/9)*h)/h)/h*h)/h)**35)**(4/15))**(19/5) assuming h is positive.
h**(-6916/135)
Simplify (l/l**(-4/5)*l)**(-36)/(l**(2/21)*l**(2/71)) assuming l is positive.
l**(-752384/7455)
Simplify (c*c/((c**(3/5)/c)/c))**(1/5)/(c**7)**(3/31) assuming c is positive.
c**(2/775)
Simplify ((r/((r**(-3)*r*r)/r*r))/r)**(1/2)/((r/(r/r**9))/r*r**(-1/6)) assuming r is positive.
r**(-22/3)
Simplify (b**(-1/4)/(b/b**(-2/13)))/(b**(-6/13)/b**(-6)) assuming b is positive.
b**(-361/52)
Simplify (g*g*g**21*g*g/(g*g**(-26)))/(g*g**14*g*g/(g*g**(15/4)*g*g*g)) assuming g is positive.
g**(163/4)
Simplify ((((v/((v**22/v)/v*v))/v)/v)/(v*v*v**(-25)*v))/(v/v**(-4/7)*v)**(-3) assuming v is positive.
v**(54/7)
Simplify (((g*g**(-1))**(1/18))**20)**(4/25) assuming g is positive.
1
Simplify (z*z**(7/4))**(-16)*(z*z/((z**(-17)/z*z)/z))**(27/5) assuming z is positive.
z**64
Simplify y**(4/17)/(y/(y*y*y**(-3/10)/y))*(y**1)**(-2/53) assuming y is positive.
y**(-923/9010)
Simplify (z*z**14)**(36/11)*z**(5/9)/(z*(z**(-1/4)/z*z)/z*z) assuming z is positive.
z**(19363/396)
Simplify q**24/(q/((q/(q/(q*q/q**(14/9)*q*q*q)))/q))*(q*q**(-2/15))/(q*q*q*q/(q**(-2)*q)*q*q) assuming q is positive.
q**(869/45)
Simplify (v**28*v**(-1))/(((v*v*v*v/(v/((v*v/v**(-19))/v)*v)*v*v)/v)/((v*v**(-1/4)*v)/v)) assuming v is positive.
v**(19/4)
Simplify (l/(l/l**(-1/16))*l*l**(-4/5)*l)/((l**(-5)/l*l)/l**(-13)) assuming l is positive.
l**(-549/80)
Simplify w**(-3/5)/((w/w**(-1/17))/w)*w**(3/5)*w**(-2/17) assuming w is positive.
w**(-3/17)
Simplify (o**(-29)/o**(-1/28))**40 assuming o is positive.
o**(-8110/7)
Simplify ((r*r/r**23)/(r**(2/35)/r))/(r**(6/7))**(3/7) assuming r is positive.
r**(-5004/245)
Simplify (u**(-16)*u*u*u**(-1/4))/(u**(-1))**(2/5) assuming u is positive.
u**(-277/20)
Simplify (q*q/((q/(q*q**(-8)))/q))/q**(-13/6)*(q*q**12*q)**(-2/71) assuming q is positive.
q**(-1375/426)
Simplify (q**5*q**(-9)/q)**(1/8) assuming q is positive.
q**(-5/8)
Simplify ((((x/(x/(x*x*x/((((x/(((x**3/x)/x)/x))/x)/x)/x))))/x)/(x**(-5)*x))/((x**(-2/13)/x*x)/x*x**(-1/4)))**(-41) assuming x is positive.
x**(-20049/52)
Simplify (g/(g**9/g))**11/((g*g*g*g/g**(-6/25)*g*g)/(g**(2/17)*g)) assuming g is positive.
g**(-34902/425)
Simplify (r**(5/4)*r)**(-31)/((((r*r**(-2/25)*r)/r)/r)/((r*r**(-2)/r*r)/r)) assuming r is positive.
r**(-7167/100)
Simplify (((k*k*k**(-10/3)*k)/(k/((k/k**(-11))/k)))**(-31))**(4/3) assuming k is positive.
k**(-3596/9)
Simplify (j/j**(-1/4)*j*j*j)**(-39)*j**(-12)*j**(-4) assuming j is positive.
j**(-727/4)
Simplify (l**(1/7)/(l/(l/(l**(-14)/l)*l)))**(43/2) assuming l is positive.
l**(4859/14)
Simplify (j**(-18)*j*j/(j*j/j**(9/5)))/((j*j**38*j)/j*j**(-1/8)) assuming j is positive.
j**(-2203/40)
Simplify q**(-5/2)/(q/(q*q*(q**(-1/4)*q)/q))*(q*q/(q/((q/q**(-2/35))/q)))/q**(3/2) assuming q is positive.
q**(-307/140)
Simplify p/p**(-14)*p*p/(p*p**(-27)*p)*p*p**(-7)*p*p/(p/p**(-11)) assuming p is positive.
p**26
Simplify (s/((s*(s*s**(1/4)/s)/s)/s))**(-6/25)/((s/(s/s**(1/13)*s)*s*s)/(s*s/((s**(5/6)/s)/s))) assuming s is positive.
s**(1628/975)
Simplify (j**3)**(6/23)*(j**(-2/13))**(-3/7) assuming j is positive.
j**(1776/2093)
Simplify (b**(-9/4)/(b/((b/(b/(b/((b*b*b**13*b)/b))))/b)))**43 assuming b is positive.
b**(-3139/4)
Simplify ((w/(w*w*(w/((w/(w*w/w**(5/2)*w)*w)/w))/w*w)*w*w)/w)**8*(w**(2/3)/w)**(1/5) assuming w is positive.
w**(-61/15)
Simplify ((k**(1/7)/k)/k**(-5))/((k/(k/k**0))/(k**(1/14)/k)) assuming k is positive.
k**(45/14)
Simplify t**16*t/t**(-7/10)*(t**(8/5)*t)**(-22/7) assuming t is positive.
t**(667/70)
Simplify ((g**(-3/4))**(1/14)/(g**(-2))**12)**(-13) assuming g is positive.
g**(-17433/56)
Simplify (f/(f*f*f/(f**(-1/6)*f)*f*f))**(3/2)/(f**(-2/9))**28 assuming f is positive.
f**(53/36)
Simplify (((((j**(2/5)/j)/j)/j)/(j*j**(-6)))/(j/(j*j**(-8)*j)*j**1))**(14/9) assuming j is positive.
j**(-392/45)
Simplify q*q**(1/5)*q**(-2/11)*q*(q**(2/21))**(-1) assuming q is positive.
q**(2221/1155)
Simplify ((w**27*w)/w)/(w*w**(-17))*w/w**(3/8)*w*w**5 assuming w is positive.
w**(397/8)
Simplify (j*j/j*
|
{
"pile_set_name": "DM Mathematics"
}
|
Let z(j) be the first derivative of j**3/3 - 5*j - 102. Suppose 3*f + 3 = -4*u + 6, 2 = -5*u + 2*f. Determine z(u).
-5
Let l(s) = -6*s**3 - 5*s**2 + 7*s**3 - 5*s + 1321 - 1322. Let m be (-8)/(-10)*(-45)/(-6). Give l(m).
5
Let j be ((-4 - -9) + -336)*(1 - 2). Let u(q) = 4*q - j*q**3 - q + 6*q**2 + 3 - 2*q + 332*q**3. Determine u(-6).
-3
Let k(g) be the first derivative of -2*g**3/3 - 10*g**2 - 15*g - 306. What is k(-10)?
-15
Suppose z = -2*z - 3*z. Let n(k) = k**2 + 2*k - 6. Give n(z).
-6
Let f = -583 + 980. Let y(q) = 3*q + f - 791 + 398. Calculate y(-5).
-11
Let r be (-30)/(1560/182)*(-6)/(-21). Let l(j) = 2 - 10*j + 1 - 4. Determine l(r).
9
Let x(y) = -y**2 - y - 3. Let u = -525 + 525. Determine x(u).
-3
Suppose -33*l + 24*l - 18 = 0. Let w(i) be the third derivative of i**5/30 + i**4/8 + i**3/3 - i**2. What is w(l)?
4
Let f(o) = 105 + 5*o - 216 - o**2 + 117. What is f(5)?
6
Let p(t) = 108 - 5*t + 4*t - 106. Let a(d) be the first derivative of -d**4/4 - 5*d**3/3 + 3*d**2 + 5*d + 1. Let z be a(-6). What is p(z)?
-3
Let j(p) = -p**2 - 4. Let n(f) = -f - 1. Let d(r) = -7*r. Let c(m) = d(m) - 5*n(m). Let x be c(0). Suppose 2*a - a + 1 = 4*k, -x*k + 8 = a. Determine j(a).
-13
Let x(y) = y**3 + 11*y**2 - 13*y - 20. Let t(k) = k**2 - 10*k + 12. Let r be t(6). Give x(r).
-8
Let f(u) = -3*u**2 + 2*u**2 + 49 + 34 - 122 + 51 + 5*u. What is f(7)?
-2
Let p be 88/(-44) - ((-1)/1 - -2). Let v(t) = -t**3 - 2*t**2 + t + 4. Calculate v(p).
10
Let m be 4/10 + 64/(-10). Let l(w) be the first derivative of -2*w**2 - 1/3*w**3 - 16 + 3*w. What is l(m)?
-9
Let v(k) = 4*k - 3. Let l be v(2). Let m(d) be the second derivative of d**5/20 - d**4/3 - d**3/2 - 7*d**2/2 + 2418*d. Give m(l).
3
Suppose -7*g = -3*g. Suppose g = -4*k + k + 6. Let w(u) = 3*u + 0*u**2 + k + u**2 + u**2. Give w(-2).
4
Let h(f) = 0 - 108*f**2 + 5*f**3 + 52*f**2 + 55*f**2 - 4 + 4*f**3 + 4*f. Determine h(1).
8
Let g = 761/60 + -63/5. Let n(u) be the second derivative of -1/20*u**5 + 1/6*u**3 + 0 + 0*u**2 - 5*u - g*u**4. Calculate n(-2).
2
Suppose -3*d + 6 = 5*b, 5*d - 2 = -17. Let q = 6 - b. Let r(u) be the second derivative of u**5/20 - u**4/3 + u**3/2 + u**2 - 2*u. Calculate r(q).
2
Suppose -53*m + 48*m = 20. Let x(h) = h**3 + 2*h**2 - 11*h - 11. Determine x(m).
1
Let h(d) = -9*d + 260. Let c be h(28). Let w(j) = j**2 - 7*j - 4. Determine w(c).
4
Let m(w) = -11*w + 19. Let k be 244/(-28) - -1*(-4)/14. Let l(y) = -5*y + 9. Let b(p) = k*l(p) + 4*m(p). Calculate b(0).
-5
Let l(v) = -6*v + 3. Let r be (1/(-2))/(-4 + 494/124). Let s = 28 - r. Give l(s).
21
Suppose -v + 9 = -4*z, 4*z + 0*v - 4*v = 0. Let p be z/(18/(-2))*24. Let i(r) = -2 - 7*r - 3 + p*r. What is i(7)?
2
Suppose 5*v - w = 3*w + 18, 4*v = 3*w + 14. Let g(h) = -10*h**v - 2 + 16*h**3 - 15*h**3 + 15 + 8*h. Determine g(9).
4
Let o(h) = 5 + 0*h + 0 + 2*h + 1 + 0*h. What is o(5)?
16
Let t(s) be the second derivative of s**3/6 + 15*s**2/2 - 127*s. Let l(r) = -r - 3. Let c be l(-3). Determine t(c).
15
Let t(v) = -v - 2. Let u = 56 + -31. Suppose -5*a - 9 = -34. Suppose a*h + 5 = -u. Give t(h).
4
Let i(f) = -3*f**2 - 6*f + 2. Let a be i(-1). Let q(k) = k**3 - 6*k**2 + 7*k + 1. Determine q(a).
11
Let i be 4 + ((2 + 0)/2 - 0). Suppose 5*b - 15 = 4*h, 5*h + 0*h + 30 = -i*b. Let y(c) = 7*c**2 - 1. Determine y(b).
6
Let n be (13/26)/((-9)/(-6)). Let q(r) be the second derivative of 0*r**2 - r - n*r**3 + 0. Determine q(-3).
6
Let y(r) = -2*r + 3. Let g be y(4). Let f(z) = z**2 - 10*z + 19. Let c be f(8). Let t(b) = 1 + c - 2*b + 4*b - 1. Calculate t(g).
-7
Suppose 3*u + 11 + 7 = 0. Let z(v) be the second derivative of -v**3/6 - 6*v**2 - 5*v. Give z(u).
-6
Let v(w) = 7*w**2 + w - 12*w**2 + 18*w**3 + 6 - 17*w**3. Calculate v(4).
-6
Let o(f) = -20 - 15 + 0*f - f + 31. Let x(g) = g**2 + 6*g + 8. Let i be x(-4). Calculate o(i).
-4
Let n(m) = 15*m**2 - 8*m - 1. Let i(g) = -7*g**2 + 4*g. Let q(x) = -5*i(x) - 2*n(x). What is q(2)?
14
Let m(s) = s**3 - 5*s**2 + 5. Suppose 4 + 4 = 4*j - 2*o, 0 = -2*j + 4*o + 16. Let v be (-1 - j) + (-65)/(-13). Let h be 1/v - (-190)/40. What is m(h)?
5
Let t = -18 + 20. Let r = t - 8. Let q be r/(-4)*(-16)/6. Let b(h) = -h**3 - 4*h**2 - 4*h - 6. Determine b(q).
10
Let g(u) = -u**2 - u + 2. Let d(n) = 5*n**2 + 9*n - 9. Let m(l) = d(l) + 4*g(l). Give m(-6).
5
Suppose -2*g + 20 = g - 2*l, -2*g = -4*l - 24. Suppose 12 = 5*p - 3, -5*o + 2 = g*p. Let k(a) = -3*a - 3. Let m(n) = -1. Let w(c) = k(c) - m(c). Give w(o).
4
Let m(c) = 2*c + 6. Let q(j) = -j**3 - 3*j**2 + 5*j + 5. Let w = 19 + -23. Let i be q(w). Suppose -i = -7*b - 43. What is m(b)?
-6
Let d(k) = -2*k**3 - 12*k**2 + k - 21. Let a(s) = -3*s**3 - 18*s**2 + s - 31. Suppose 0 = -3*m + 4*m - 5. Let v(p) = m*a(p) - 7*d(p). Determine v(-6).
4
Let u(x) = -2*x**3 - 4*x**2 + 6. Let q(p) = -3*p**3 - 9*p**2 + 11. Let m(s) = -3*q(s) + 5*u(s). Determine m(7).
-3
Let o(m) be the first derivative of -m**6/120 - m**5/12 - m**4/6 - 2*m**2 - 32. Let p(i) be the second derivative of o(i). Give p(-3).
-6
Let l = 5 + 1. Let i(d) = 17*d - 55*d**2 + 54*d**2 - 9*d - 7. What is i(l)?
5
Let i(v) = v**2 + 2*v + 1. Suppose 2*t - 7*t + c + 150 = 0, 88 = 3*t - c. Let x(d) = 4*d**2 - d - 3. Let j be x(3). Suppose -t*k = -j*k + 3. Give i(k).
4
Let t(y) = -y**2 - 6*y + 0*y**2 - 5 - 2 + 3. Let o = 68 + -74. Give t(o).
-4
Let w(z) = 2 - 3 - z + 2. Let x(q) = 8*q - 3. Let r(c) = 6*w(c) + x(c). Let i be 1/4 - 22/(-8). Determine r(i).
9
Let b(m) = -m**2 - 7*m + 1. Suppose 0*z = z + 3*h - 39, 5*z - 4*h - 290 = 0. Let l = z + -33. Suppose -3*v - l = 2*k, -v - 1 = 2. What is b(k)?
7
Let g(y) be the second derivative of -y**3/2 + 4*y**2 - 173*y. Give g(10).
-22
Let u(v) be the second derivative of -v**5/20 + 7*v**4/12 - 7*v**3/6 - 7*v**2/2 + 62*v. Give u(6).
-13
Suppose -2*g = 5*w + 2*g + 6, 2*w - 2*g + 6 = 0. Let y(r) = 15*r - 2. Determine y(w).
-32
Let m(k) = -2*k + 4. Let t = -73 + 63. Let d be (-2 - 35/t)*-2. Determine m(d).
10
Let z = -19 + 17. Let q be 2/12 + 33/18. Let w(j) = -q + 3 + j + 2*j + 0*j. What is w(z)?
-5
Let b(t) = -t**3 + 9*t**2 - 6*t - 13. Let l be b(8). Let h(f) = -2 + f + l - 13*f**2 + 20*f**2 + f. What is h(-1)?
6
Let h = 22 - 18. Suppose -h*s + 16 = -6*s. Let y = 2 + s. Let r(g) = g + 4. What is r(y)?
-2
Let k(s) be the first derivative of 7*s**2/2 - 4*s + 496. Determine k(-3).
-25
Let i = 28 + -20. Suppose 2*o - i = -r - 0*r, -r = -2*o + 8. Let g be (0 + o + -5)*-2. Let p(b) = 2*b**2 - 2. What is p(g)?
6
Suppose -28*b + 5 = -27*b. Let z(t) = 3*t**2 - 7*t + 3. Let n(m) = -2*m**2 + 4*m - 2. Let g(o) = b*n(o) + 3*z(o). What is g(0)?
-1
Let d = 0 + 5. Suppose -15 = -d*y + 10*y. Let o(m) = m**3 + 3*m**2 - 3*m - 3. Calculate o(y).
6
Let q(k) be the first derivative of -k**6/120 - k**5/12 + k**4/12 + k**3/2 + 43*k**2/2 - 5. Let t(z) be the second derivative of q(z). Determine t(-3).
-21
Let u(r) = 3*r - 1. Suppose -5*i = 2*f - 11 + 3, 2*f - 3*i = -8. Calculate u(f).
-4
Let y be (1/(-2))/(9/(-288)). Let w(b) = -b**3 + 17*b**2 - 15*b - 12. What is w(y)?
4
Let k(l) = -7*l - 74. Let v(d) = 3*d + 25. Let f(m) = 4*k(m) + 11*v(m). Let g be f(4). Let c(i) = 9*i**3 - i. Determine c(g).
-8
Let n be (-6)/15*5/(-1). Let l(j) = 2*j**n + 4 - j**2 - 5. Let w(b) = b**3 - 8*b**2 - 8*b - 10. Let p be w(9). Give l(p).
0
Let n(m) be the first derivative of m**5/20 + m**4/2 - m**3/6 - 4*m**2 + 17*m - 3. Let r(f) be the first derivative of n(f). Determine r(-6).
-2
Suppose -2*q = -4*s + 78, 3*q = -s + 24 - 15. Let u(l) = 2*l**2 - 35*l - 20. What is u(s)?
-2
Let b(i) = -2*i**3 - 135*i + 6*i**2 + i**3 + 2 + 135*i. Suppose 2*m + 3 = 5*t, 2*m = -m - 4*t + 30. Calculate b(m).
2
Let m(v) = 14*v**3 - 2 - 2*v**2 + 1 - v - 15*v**3. Let x be m(-2). Let p(j) = 5*j - 9*j - x + j. What is p(-2)?
5
Let o(m) = -5*m**2 + 5*m - 11. Let f(h) = -11*h**2 + 8*h - 23. Let r(g) = 4*f(g) - 9*o(g). Calculate r(10).
-23
Let f(l) = l**2 - 9*l. Suppose 19 = 2*x + v, 5*x - 5*v = -7*v + 46. Give f(x).
-8
Let a(q) = -3*q - 1. Let t = -468 + 466. What is a(t)?
5
Let p be 1*1/(3/(-6)). Let s(x) = -5*x**3 - 3*x**2 - 4*x + 1. Let k(y) = -4*y**3 - 2*y**2 - 3*y + 1. Let i(t) = 7*k(t) - 6*s(t). Calculate i(p).
-5
Let v = -334 - -333. Let i(d) = -2*d - 4. Calculate i(v).
-2
Let p(o) be the third derivative of 1/6*o**3 - 1/20*o**5 - 9*o**2 + 0*o**4 +
|
{
"pile_set_name": "DM Mathematics"
}
|
be the first derivative of 11*x**3 - 100. Give f(y(a)).
1089*a**4
Let q(c) be the first derivative of -11/3*c**3 + 0*c**2 + 76 + 0*c. Let p(h) = -8*h**2. What is q(p(t))?
-704*t**4
Let m(z) = z. Let c(n) = n**2 + 102*n - 9. Let k(o) = o**2 + 108*o - 9. Let p(a) = -5*c(a) + 6*k(a). What is p(m(y))?
y**2 + 138*y - 9
Let n(p) = -622*p. Let t(x) = -6*x + 5. Suppose -10 = c - 4*f, 11*c - 8*c + 4*f + 14 = 0. Let q(d) = 7*d - 6. Let w(i) = c*t(i) - 5*q(i). Determine w(n(o)).
-622*o
Let f(k) = 7*k + 2. Suppose 5*j = -3*q - 0*j + 6, 31 = 4*q - j. Let v(x) = q - 17*x - 2 + 32*x. Let u(t) = -5*f(t) + 2*v(t). Let m(d) = -d**2. Give m(u(p)).
-25*p**2
Let x(f) = -31704089*f. Let a(q) = -3*q**2. Give x(a(i)).
95112267*i**2
Let r(u) = -u**3 + 2*u - 1. Let z be r(-2). Let j be z*1 + (-10 - -9). Let o(m) = -9 + m**j + 9 + 0*m**2. Let g(d) = 13*d. Calculate g(o(n)).
13*n**2
Let n(t) = -329218*t. Let d(r) = 11*r. Determine d(n(c)).
-3621398*c
Let g(p) = 17*p**2 + 2*p. Let l = 372 - 229. Let n(x) = l*x + 146*x - 290*x. Give n(g(h)).
-17*h**2 - 2*h
Let i(x) = 26688216*x. Let b(p) = -p. What is i(b(a))?
-26688216*a
Let q(y) = y + 2. Let m(u) = u**2 + 4*u + 8. Let v = 2 + -1. Let t be -10 - 5/(20/(-24)). Let x(s) = t*q(s) + v*m(s). Let o(b) = 2*b + 99. Calculate o(x(d)).
2*d**2 + 99
Let a(l) = 15*l. Let q(p) = 1748432*p**2. What is q(a(w))?
393397200*w**2
Let o(m) = 110083*m. Let d(g) = -36*g**2. What is o(d(x))?
-3962988*x**2
Let g(v) be the second derivative of 59*v**4/6 + v**2 + 1754*v. Let t(r) = -r + 16. What is t(g(y))?
-118*y**2 + 14
Let t(v) = 13019867*v. Let z(a) = 2*a. Give z(t(b)).
26039734*b
Let v(z) = 6*z**2. Suppose -4*g + 12 = 2*g. Let w(b) = 9*b**g - 15*b + 15*b + 6*b**2. Calculate w(v(o)).
540*o**4
Let l(t) = -17040*t + 970. Let r(f) = 2*f. What is r(l(v))?
-34080*v + 1940
Let x = -519 - -525. Let y(r) = 8 - x*r - 17 - 3*r + 9. Let d(a) = 3*a. Calculate d(y(p)).
-27*p
Let b(f) be the third derivative of f**5/60 + 13*f**2. Suppose 4*q = -y + 3 + 1, 8 = 2*q - y. Let j(t) = -18*t**2 - 11*t**2 + 8*t**q - 2*t**2. What is j(b(a))?
-23*a**4
Let i(r) be the third derivative of 19*r**4/24 - 5*r**2. Let q(b) be the second derivative of b**3/6 - 516*b. Determine q(i(p)).
19*p
Let d(u) = -59168*u**2. Let g(p) = -19*p**2. What is d(g(h))?
-21359648*h**4
Let j(y) = -18*y. Suppose -2*v - 6 = -5*k, 5*k - 6*v + 14 = 6*k. Let i(x) = -48*x**k - 431 + 431 + 36*x**2. Give i(j(m)).
-3888*m**2
Let j(c) = 28*c**2. Suppose -5*u - r + 476 = 0, -4*u - 2*r + 140 + 242 = 0. Let k(o) = 46 - u - 5*o + 49. Give j(k(m)).
700*m**2
Let c(a) be the first derivative of -5*a**4/12 - a**3/6 + 167*a**2/2 + 72. Let d(l) be the second derivative of c(l). Let f(m) = -3*m. What is f(d(n))?
30*n + 3
Let w(a) = 2*a - 169. Let z(k) = -150396*k + 3. What is z(w(s))?
-300792*s + 25416927
Let d(i) = -5*i**2 + 5*i**2 - 4*i**2. Let s(m) = -3*m + 4*m - 2*m - 3*m - 4*m. Determine s(d(o)).
32*o**2
Let b(i) be the first derivative of 0*i - 1/3*i**3 + 0*i**2 + 68. Let s(p) = 115*p. Determine b(s(q)).
-13225*q**2
Let d(i) = -192. Let y(s) = 7*s - 576. Let b(u) = -3*d(u) + y(u). Let p(l) = -2106*l**2. Calculate p(b(o)).
-103194*o**2
Let m(d) = 33*d + 12. Let a(r) be the third derivative of r**4/8 - 825*r**2. Give m(a(i)).
99*i + 12
Let w(f) = 9*f. Let b(h) be the third derivative of 233*h**4/12 - 8*h**2 - 54*h + 1. What is w(b(v))?
4194*v
Let c(o) = 10034235*o. Let r(w) = 87*w. Determine c(r(i)).
872978445*i
Let u(j) = 3*j**2. Let l(v) be the second derivative of -11/3*v**3 + 2*v + 1 + 0*v**2. Calculate l(u(w)).
-66*w**2
Let v(r) = -2*r**2. Let n(m) = 64*m - 764. Let g be n(12). Let q(c) be the second derivative of 0 - 1/3*c**3 - g*c - 17/2*c**2. What is q(v(t))?
4*t**2 - 17
Let p(a) = -312602939*a**2. Let h(y) = 5*y**2. Calculate h(p(l)).
488602987357188605*l**4
Let c(o) = -344*o**2. Let g(n) be the second derivative of n**3/2 - 4404*n. What is c(g(h))?
-3096*h**2
Let g(b) be the second derivative of 279*b**4/2 - b - 2863. Let y(h) = h. What is y(g(z))?
1674*z**2
Let x(z) = -3*z**2. Let i(o) = 28*o**2 - 34. Let u(a) = -9*a**2 + 11. Let p(k) = -k - 8. Let v be p(-14). Let m(t) = v*i(t) + 19*u(t). What is x(m(j))?
-27*j**4 + 90*j**2 - 75
Let w(m) = 9*m**2 + 34*m. Let q(p) = -74*p. Let j(z) = -167*z. Let v(k) = 4*j(k) - 9*q(k). Give v(w(u)).
-18*u**2 - 68*u
Let s(d) = -3*d. Let i(w) = 9107769*w**2. Determine s(i(f)).
-27323307*f**2
Let b(f) = -526*f**2. Let y(l) = 8*l + 11*l + 9*l - 41*l + 12*l. Determine b(y(o)).
-526*o**2
Suppose -u - 4*j + 6*j - 1 = 0, -2*j + 8 = 0. Let a(w) = -12*w + 8. Let i(b) = 4*b - 2. Let z(o) = u*i(o) + 2*a(o). Let n(g) = g. Calculate n(z(s)).
4*s + 2
Let j(x) = -x - 496*x**2 + 35*x**2 - 310*x**2 + x. Let h(l) = 5*l. What is j(h(a))?
-19275*a**2
Let j(f) = 330*f**2. Let z(h) = -252622*h**2. What is z(j(p))?
-27510535800*p**4
Let b(f) = f - 2. Let h(x) = -30*x + 54. Let v(t) = -54*b(t) - 2*h(t). Let u(c) = 39*c**2 - 459 + 225 - 5*c**2 + 234. What is v(u(j))?
204*j**2
Let s(y) = -47*y**2. Let p(o) = -11744313*o**2. What is p(s(n))?
-25943187417*n**4
Let f(g) be the second derivative of -1/3*g**3 + 0*g**2 + 0 - 31*g. Let y(r) = -6*r - 1 - 11 + 0 + 7*r. Determine y(f(l)).
-2*l - 12
Let j(n) be the third derivative of 7*n**5/60 + n**4/24 + 226*n**2. Let v(b) = -11*b**2 - 10*b**2 + 27*b**2. Determine j(v(i)).
252*i**4 + 6*i**2
Let g(p) = -p - 1. Let a(d) = -4*d + 7. Let x be a(2). Let r(q) = 2*q**2 - 3*q - 6. Let k(s) = x*r(s) + 3*g(s). Let h(y) = -2*y. Determine h(k(b)).
4*b**2 - 6
Let s(k) = k + 3883101. Let f(d) = d. Give f(s(v)).
v + 3883101
Let g(s) = -25*s. Let h(n) = 2350*n - 564. Let a(c) = 8*c - 2. Let q(j) = 564*a(j) - 2*h(j). Give g(q(i)).
4700*i
Let d(h) = -41*h**2 + 8*h - 615. Let f(r) = 31*r. Calculate f(d(x)).
-1271*x**2 + 248*x - 19065
Let c(n) = 6888*n + 384. Let m(u) = 1378*u + 80. Let k(a) = 5*c(a) - 24*m(a). Let b(o) = o. What is k(b(p))?
1368*p
Let c(j) = -2*j**2 - 272499*j. Let z(k) = -4*k. Give c(z(r)).
-32*r**2 + 1089996*r
Let f be 2/36 - (-328)/738. Let n(k) be the first derivative of -f*k**2 + 13 + 0*k. Let v(z) = z. What is n(v(j))?
-j
Let w(j) = -9114836*j. Let a(d) = 3*d. Calculate w(a(t)).
-27344508*t
Let q(j) = -523*j + 2. Let g(p) = 9401*p. What is q(g(i))?
-4916723*i + 2
Let v(k) = k. Let x(d) = -d**2 + 5*d + 17318. Give v(x(j)).
-j**2 + 5*j + 17318
Let f(k) = -14*k - 15*k - 9*k - 4*k - 15*k + 58*k. Let o(j) = -40*j - 322*j + 62*j. Determine f(o(g)).
-300*g
Let y(w) = 18*w**2. Let k(g) = 4*g**2 + 17*g + 22*g - 36*g. Let o(b) = -3*b**2 - 2*b. Let l(c) = -2*k(c) - 3*o(c). Determine y(l(j)).
18*j**4
Let q(n) be the third derivative of 13*n**4/6 - n**3/6 - 433*n**2. Let y(x) = 19*x**2. What is q(y(z))?
988*z**2 - 1
Let u(i) = -3*i**2. Let j(a) be the second derivative of -a**5/15 + a**2/2 + 2*a + 5. Let o(h) be the first derivative of j(h). Determine o(u(r)).
-36*r**4
Let n(b) = 17*b**2. Suppose 3*i - x - 111 = 2*x, 3*i = -5*x + 135. Suppose -4*t - 3 - 5 = 0, 4*m + 4*t = i. Let a(q) = -3*q - m*q + 14*q. Determine n(a(z)).
17*z**2
Let n(b) = -1462*b. Let z(j) = j + 507. Determine n(z(h)).
-1462*h - 741234
Let a(x) = 4*x**2. Let p(u) = -379792854*u. Give p(a(r)).
-1519171416*r**2
Let l(t) = -9*t. Let q(n) be the first derivative of 0*n**2 + 128 + 5/3*n**3 + 0*n. Give q(l(i)).
405*i**2
Let p(x) = 2*x**2 + 5*x - 7. Let t be p(-3). Let i be (2/t)/(7/(-70)) + 1. Let y(u) = -u - u + i*u. Let c(f) = 3*f**2. What is c(y(s))?
48*s**2
Let j(l) = l. Let y(v) = -554584950*v**2. Give j(y(r)).
-554584950*r**2
Let h be (-4850)/(-50) - (4 + -1). Let l(o) = o**2 + o + 2. Let a(u) = -47*u**2 - 94*u - 188. Let x(y) = h*l(y) + a(y). Let f(z) = -z**2. Determine f(x(p)).
-2209*p**4
Let h(k) = -33*k**2 + 4*k - 52. Let a(b) = -1682*b**2 + 203*b - 2639. Let u(t) = 4*a(t) - 203*h(t). Let c(y) = -y + 289. Calculate c(u(i)).
29*i**2 + 289
Let h(n) = -3286152*n**2. Let q(g) = -3*g. Give h(q(m)).
-29575368*m**2
Let u(c) = 6*c. Let t(g) = -20007310*g. Calculate u(t(h)).
-120043860*h
Let i(s) = 2*s**2. Let n(z) = z**3 - 13*z**2 + 32*z + 20. Let v be n(10). Let w be (-38)/5*(-3 - 2). Let j(f) = 2*f - v*f**2 + w*f**2 + 5*f. Calculate j(i(u)).
-8*u**4 + 14*u**2
Let c(q) = -225782236*q. Let t(n) = 2*n. Give c(t(a)).
-451564472*a
Let l(y) be the second derivative of y**7/90 + 65*y**4/12 + 12*
|
{
"pile_set_name": "DM Mathematics"
}
|
n -605 - 2281288*a**3 + 605 + 1140646*a**3 + 1140643*a**3.
a**3
Collect the terms in -585*m**3 + 2926*m + 2147*m**3 - 2926*m.
1562*m**3
Collect the terms in 109*j**2 - 56*j**2 + 137*j**2 - 49*j**2 - 74*j**2 - 68*j**2.
-j**2
Collect the terms in 3319*u**2 + 15958*u**2 - 6969*u**2.
12308*u**2
Collect the terms in -18981*a + 47565*a - 2*a**2 - 28584*a.
-2*a**2
Collect the terms in 4 - 20947396*r + 20947402*r + 2 - 3.
6*r + 3
Collect the terms in -79*n + 349*n - 83*n - 79*n - 38*n - 74*n.
-4*n
Collect the terms in -3561*g - 775*g - 615*g.
-4951*g
Collect the terms in 27927*d**3 + 33265*d**3 + 8492*d**3.
69684*d**3
Collect the terms in 7835*j + 2*j**3 + 235*j**2 - 7867*j - 235*j**2.
2*j**3 - 32*j
Collect the terms in 2959*c + 34 + 10 - 983*c + 8.
1976*c + 52
Collect the terms in 19184*w**2 + 245573*w**2 - 45071*w**2.
219686*w**2
Collect the terms in -330126078 - 19*w**3 + 330126078 + 16*w**3.
-3*w**3
Collect the terms in 391 - 69*w**2 + 3*w + 37*w**2 + 33*w**2 - 1177.
w**2 + 3*w - 786
Collect the terms in 3975*h + 4040*h - 12056*h - 7*h**2 + 4041*h + 2.
-7*h**2 + 2
Collect the terms in -4837*s**2 + 221 + 4836*s**2 + 156 - 129.
-s**2 + 248
Collect the terms in -586*u**2 + 348*u**2 + 239*u**2 - 24*u.
u**2 - 24*u
Collect the terms in -12848*h**2 + 64877*h**2 + 5596*h**2.
57625*h**2
Collect the terms in -1542 + 6737 - 5195 - 3*s.
-3*s
Collect the terms in 28*h**2 + 167356669*h - 167356669*h - 18*h**2.
10*h**2
Collect the terms in -26157*j + 5298*j + 5213*j + 5219*j + 5219*j + 5212*j.
4*j
Collect the terms in 0*p - 12331*p**3 - 12342*p**3 + 0*p - 12340*p**3 + 37033*p**3.
20*p**3
Collect the terms in 12*d - 589 - 1609 + 27*d + d.
40*d - 2198
Collect the terms in -121*r - 282*r**2 + 120*r - 272*r**2 + 859*r**2 - 291*r**2.
14*r**2 - r
Collect the terms in 85676636*z + 53 - 53 + 293*z**3 - 85676636*z.
293*z**3
Collect the terms in -2067*u**3 + 763*u**3 + 851*u**3.
-453*u**3
Collect the terms in 2174*o**2 + 2179*o**2 - 8734*o**2 + o**3 + 2168*o**2 + 2213*o**2.
o**3
Collect the terms in -2*j - 147659829 + 4*j + 147659860 + 3*j.
5*j + 31
Collect the terms in -70 + 4*h**2 + 15*h**2 + 12*h**2 - 26*h**2 + 9*h**2.
14*h**2 - 70
Collect the terms in 36*t - 1608 + 31*t - 141*t + 31*t + 42*t.
-t - 1608
Collect the terms in -7*b - 1617*b**3 + 0*b + 2*b + 30 + 3*b - 29.
-1617*b**3 - 2*b + 1
Collect the terms in -93389*a**2 + 186777*a**2 - 2*a**3 - 140*a - 93388*a**2.
-2*a**3 - 140*a
Collect the terms in -60 - 8 + 40 + 21 - b.
-b - 7
Collect the terms in -3014*r + 754*r + 748*r + 747*r + 732*r.
-33*r
Collect the terms in 408 - 198 - 106 - 552*n - 104.
-552*n
Collect the terms in -166 - 115 + 400 - 998*i - 119.
-998*i
Collect the terms in -2*t - 248594*t**3 + 2*t + 497299*t**3 - 248706*t**3.
-t**3
Collect the terms in 5208995*o**3 + 70385 - 70385 - 5208992*o**3.
3*o**3
Collect the terms in -6 - 104*x**3 + 471*x**3 + 1 + 5.
367*x**3
Collect the terms in 8*r + 15754675291 + 15*r - 15754675291.
23*r
Collect the terms in -1547306*y**3 - 1548306*y**3 + 3095615*y**3.
3*y**3
Collect the terms in -131*c**2 + 79*c**2 - 180*c**2 - 189*c**2 - 54*c**2.
-475*c**2
Collect the terms in -32*f**2 - 40*f**2 + 192*f**2 - 41*f**2 - 32*f**2 - 40*f**2.
7*f**2
Collect the terms in -2484*q**2 + 122087 - 2319*q**2 - 122087.
-4803*q**2
Collect the terms in -134*v**3 + 425*v**3 + 418220*v - 418219*v.
291*v**3 + v
Collect the terms in 710*v + 5 - 205*v**3 - 337*v**3 - 5.
-542*v**3 + 710*v
Collect the terms in -2*u**3 - 224418046*u**2 + 448836094*u**2 + 3*u**3 - 224418048*u**2.
u**3
Collect the terms in -80 + 54 - 1578*w + 21.
-1578*w - 5
Collect the terms in 39030*u - 19855*u - 19181*u.
-6*u
Collect the terms in -8 + 1424*n - 1109*n - 326*n.
-11*n - 8
Collect the terms in 9451*g**2 - 35*g - 4733*g**2 + 18*g**3 - 4718*g**2.
18*g**3 - 35*g
Collect the terms in 10928 - 388 + 711 - 5*i.
-5*i + 11251
Collect the terms in w**2 + 5*w**2 - 5676*w - 4*w**2 + 0*w**2.
2*w**2 - 5676*w
Collect the terms in -261*o + 2*o**2 - 192*o - 678*o + 134*o - 435*o.
2*o**2 - 1432*o
Collect the terms in -189 - 14*a - 130*a + 79 + 59 + 51.
-144*a
Collect the terms in -28 + 413*l + 7 + 9 + 4 + 7.
413*l - 1
Collect the terms in -2103*z**3 - 2124*z**3 + 6352*z**3 - 2146*z**3.
-21*z**3
Collect the terms in 11494*q + 10 - 34486*q - 10 + 11498*q + 11517*q.
23*q
Collect the terms in -37*f**2 - 54*f**3 + 257*f + 7*f**2 - 257*f.
-54*f**3 - 30*f**2
Collect the terms in 5289*c**2 + 5283*c**2 + 5282*c**2 + 2*c + 5283*c**2 - 21134*c**2.
3*c**2 + 2*c
Collect the terms in 5462888*x - 21851529*x + 5462885*x + 5462877*x + 5462881*x.
2*x
Collect the terms in 15*w**2 + 21*w**2 + 336*w**3 + 17*w**2 - 59*w**2 + 20*w**2 - 32*w**3.
304*w**3 + 14*w**2
Collect the terms in -1744 + 193 + 4*y + 5*y - 666.
9*y - 2217
Collect the terms in -145*k**2 - 465*k**2 - 139*k**2 + 1033*k**2 - 142*k**2 - 143*k**2.
-k**2
Collect the terms in 3*o**2 - 200 - 7*o - 1375 - 91.
3*o**2 - 7*o - 1666
Collect the terms in 0 - 529669*g + 0 + 265203*g + 264463*g.
-3*g
Collect the terms in -3*o**3 - 2*o**2 + 9384482 - 9384482 - 149*o.
-3*o**3 - 2*o**2 - 149*o
Collect the terms in -17 - 14 + 1048826*d - 1048831*d + 74 - 21 - 22.
-5*d
Collect the terms in 1058*y**2 + 1 + 1182*y**2 + 1050*y**2 - 3315*y**2 - 1.
-25*y**2
Collect the terms in -2 + 23487569*p**2 - 1 + 5.
23487569*p**2 + 2
Collect the terms in -9 - 1507*t**2 + 9 - 5207*t**2 - 6085*t**2.
-12799*t**2
Collect the terms in -25*u - 10515*u**3 - 21390*u**3 + 25*u.
-31905*u**3
Collect the terms in -34 + 3 + 4*l + 8 - 84 - 2*l - l.
l - 107
Collect the terms in 568*r**3 + 1139*r**3 + 607*r**3 - 1608*r**3.
706*r**3
Collect the terms in -84*s + 701*s - 575*s.
42*s
Collect the terms in -103287*z**2 - 63219*z**2 - 44917*z**2 - 3706*z**2.
-215129*z**2
Collect the terms in 25706*z**2 - 9292*z**2 - 16461*z**2.
-47*z**2
Collect the terms in -691106297*h + 44*h**2 + 165*h**2 - 18*h**2 + 691106299*h.
191*h**2 + 2*h
Collect the terms in -7 + 33 + 402019*c - 26.
402019*c
Collect the terms in -5181*u + 194*u + 568*u - 5312*u - 196*u.
-9927*u
Collect the terms in -128*d**2 - 56*d**2 - 874*d**3 - 50*d**2 + 234*d**2.
-874*d**3
Collect the terms in 2 + 387614484*k**3 + 0 - 387614496*k**3.
-12*k**3 + 2
Collect the terms in 8663204*w - 8663204*w + 2*w**2 + 13.
2*w**2 + 13
Collect the terms in 243*g - 41*g**2 - 24970 + 25*g**2 + 24970 + 14*g**2.
-2*g**2 + 243*g
Collect the terms in 83*r + 82*r - 251*r + 86*r - 1305*r**2.
-1305*r**2
Collect the terms in -390327 + 8*q**2 + 390327 - 43*q**2.
-35*q**2
Collect the terms in -176*w**3 - 167*w**3 - 162*w**3 - 174*w**3 + 846*w**3 - 174*w**3.
-7*w**3
Collect the terms in -v**2 + 0*v**2 + 15 + 8 - 70060*v - 5.
-v**2 - 70060*v + 18
Collect the terms in -633 - 641 - 640 + 598*g + 2546 - 632.
598*g
Collect the terms in 94445 + 2*c**2 + 94508 - 188578.
2*c**2 + 375
Collect the terms in -315*n + 2050423372 - 2050423372.
-315*n
Collect the terms in 7035 - 3479 - n - 3498.
-n + 58
Collect the terms in -7162*t**2 - 73999*t**2 - 136727*t**2 - 136447*t**2 - 95399*t**2.
-449734*t**2
Collect the terms in -500 - 508 + 431*o + 1008.
431*o
Collect the terms in -681 + l - 628 - 130 - 131.
l - 1570
Collect the terms in 3 - 100*t**2 - 2 - 2416*t**2 + 68*t.
-2516*t**2 + 68*t + 1
Collect the terms in -89366*l**3 + 89362*l**3 - 8 - 3 + 2 + 9.
-4*l**3
Collect the terms in 12*w**3 + 805 + 2*w**3 + 7*w**3 - 805 - 9*w**3 - 16*w**3.
-4*w**3
Collect the terms in -5 + 5 + 0 + 20887*m**2 - 19200*m**2.
1687*m**2
Collect the terms in -1183*g**3 - 388789 + 2*g**2 - 388792 + 777583.
-1183*g**3 + 2*g**2 + 2
Collect the terms in -3115*k**2 + 57 - 5*k + 3*k - 5574*k**2.
-8689*k**2 - 2*k + 57
Collect the terms in 47 + o + 166 + 2*o**2 + o**2 + 3*o**2.
6*o**2 + o + 213
Collect the terms in 4*u**3 + 0*u**3 + 662 + 871 + 197 - 2*u**3.
2*u**3 + 1730
Collect the terms in -1 - 71*p**2 + 22*p + 28*p**2 - 53*p**2 - 45*p**2.
-141*p**2 + 22*p - 1
Collect the terms in -1249*u**2 + 27*u + 2035*u**2 - 45991*u**2.
-45205*u**2 + 27*u
Collect the terms in -4641*p**3 - 28 - 12 + 14259*p**3 + 40.
9618*p**3
Collect the terms in 6389*z + 5961*z + 26752*z.
39102*z
Collect the terms in -997257*m + 9*m**3 + 997257*m.
9*m**3
Collect the terms in 165*x + 30*x**3 - 166*x - 1664*x**3 - 3539*x**3.
-5173*x**3 - x
Collect the terms in 944120*t + 1553992*t + 1119664*t
|
{
"pile_set_name": "DM Mathematics"
}
|
n descending order.
i, 13, -3
Let f = 4.1755 - 3.8755. Put 0.1, 3, f, -869 in decreasing order.
3, f, 0.1, -869
Suppose j + 10 = 5*k, -4*k + 5*j + 42 = 34. Put 72, 48, k in descending order.
72, 48, k
Suppose -4*k - 58 = 6*f, -3*f + 5 - 42 = -2*k. Let p = -0.17 - -0.27. Sort f, 4, p, 2/7.
f, p, 2/7, 4
Suppose 0 = 117*s + 307*s - 424. Put 41, -3, -72, s in descending order.
41, s, -3, -72
Suppose 0 = 3*i - 6*i - 18. Let z be 3 - (i - -5 - 3/(-1)). Let f = -25 + 27. Sort 0, 5, f, z.
0, z, f, 5
Suppose 27*w = 25*w - 4. Let t be w*((-245)/6 - 3/(-9)). Let x = t - 76. Sort x, -5, 4, -2 in ascending order.
-5, -2, 4, x
Let d = 4.01 - 0.01. Let z = 39 + -118. Let w = z - -78.6. Sort -11, w, d, -4 in decreasing order.
d, w, -4, -11
Let w = 581.976 - 582. Sort -20, w, -5 in decreasing order.
w, -5, -20
Suppose -15 = -11*v - 59. Suppose 5*m = 4*r - 203, -2*m = -4*m + r - 80. Sort m, 8, v.
m, v, 8
Suppose 0 = -2*h - 1436 + 1412. Sort 0, -5, h in increasing order.
h, -5, 0
Let t(y) = -10*y - 134. Let k be t(14). Let n = k + 1912/7. Suppose 4*q - 2*p + 2 = 0, -6*p + p = 4*q - 5. Sort 0.3, q, n.
n, q, 0.3
Let o = -16585 - -16586. Sort -2, -4, o, -3/5, 1/13 in descending order.
o, 1/13, -3/5, -2, -4
Let w be (-315)/(-75) - 2/10 - -175. Suppose -1 = -w*s + 180*s. Put s, 4, 0.08 in descending order.
4, 0.08, s
Let g(h) = h**3 + 9*h**2 - h - 12. Let w be g(-9). Let k be -25*(13 + -20 + (-28)/(-5)). Put k, w, 3 in decreasing order.
k, 3, w
Suppose 11*p = 2216 + 842. Let b = p + -280. Put 25, 6, 1, b in decreasing order.
25, 6, 1, b
Suppose 2*g + 5 = -x, 5*x + 75 = -3*g + 57. Put x, 1, 3, 0, -45 in ascending order.
-45, x, 0, 1, 3
Let w = -27.23 - -22.23. Put -0.301, 0.2, -2, w, 1 in descending order.
1, 0.2, -0.301, -2, w
Let r = 1958 - 1960. Put -3, 3, r, -15 in ascending order.
-15, -3, r, 3
Let o = 0.86 - 0.34. Let w = 0.42 - o. Put w, 0.5, -1, -3 in descending order.
0.5, w, -1, -3
Let j = 600308 - 600308. Suppose -g + 3*g + 8 = 0. Sort g, 258, j.
g, j, 258
Let a be 16/5 + -3 - (-117)/65. Sort a, -5, 979 in decreasing order.
979, a, -5
Let a = -98 + 289. Let l = -170 + a. Put 1, l, -5 in descending order.
l, 1, -5
Let g = -119 + 204. Let w = 154 - 239. Let z = g + w. Sort -10, z, 0.1 in decreasing order.
0.1, z, -10
Suppose 5*k = -2*p + 29, 5*k = 3*p - 2*p - 7. Let j(o) = o**3 - 15*o**2 + 37*o - 14. Let a be j(p). Sort a, -200, 5.
-200, a, 5
Suppose -12 = -2*p - 4. Let h be (-6)/57 + (7560/(-266))/15. Put 11, p, h, 0 in descending order.
11, p, 0, h
Let f(z) = -3*z**2 + 71*z - 101. Let k be f(22). Sort 3, 5, k, -17 in descending order.
k, 5, 3, -17
Let w be ((-66)/55)/((-6)/45). Let z be (6/w*-21)/(-2) - 4. Suppose 0 = 17*u - 32*u + 75. Put u, 4, z, -3 in descending order.
u, 4, z, -3
Let p(g) = -g + 40. Let v be p(32). Suppose 29 + 75 = -v*u. Let j = 3 + -1. Sort j, u, -1, 5 in ascending order.
u, -1, j, 5
Let y(b) = 3*b**3 - 44*b**2 - 9*b - 88. Let d be y(15). Put 4, -4, 810, d, -2 in decreasing order.
810, 4, d, -2, -4
Suppose 532*a = -531 + 2659. Sort a, 3422, 1/11.
1/11, a, 3422
Suppose -5*o + 8 = 3*u, -5*u - 3*o - 34 = -42. Put 5, u, 2, 8 in increasing order.
u, 2, 5, 8
Suppose 5*k - 8 = 12. Suppose -36 = -8*l - 4. Suppose -2*b + 11 = 3*s, l*s = -0*s + b + 11. Sort s, -3, -19, k.
-19, -3, s, k
Let j(h) = -4*h - 88. Let g = -191 + 169. Let t be j(g). Put t, 2, -1/2, -1/7 in descending order.
2, t, -1/7, -1/2
Let y(x) = x**2 + 32*x + 8. Let i be y(-32). Suppose -2*u - 3*r = 9 - 5, 3*r = 4*u + i. Put u, 1/4, 0.3, -1 in increasing order.
u, -1, 1/4, 0.3
Let u be 3 + (183/(-18) - -5) + (-40)/(-24). Sort 12, u, -1/4, -0.02.
u, -1/4, -0.02, 12
Let x = -1.3 - -1. Let y = 0.03263 - 4.03263. Let j = 3 + -2. Put j, -2/3, y, x in ascending order.
y, -2/3, x, j
Suppose d + z = -157, -2*d - 140 - 159 = -z. Let x be 2*(-2 + -1) - d/24. Let k be (-4)/(-18) + (-32)/63. Sort 7/6, x, k in ascending order.
k, x, 7/6
Suppose 182*j - 86*j = 72*j + 96. Sort -10, -1, -6, j.
-10, -6, -1, j
Suppose 52*k + 60 = 32*k. Put 5, 91, 0, k in ascending order.
k, 0, 5, 91
Let v be 3/6 + (-501)/(-42). Let x = 3763 + -3766. Put 0, x, v in increasing order.
x, 0, v
Let t be (-5 - (-162)/30)*7/(-14). Sort -14, -76, t in descending order.
t, -14, -76
Let i be 3/(0 - (-3)/33). Let q = 30414 - 30418. Sort q, 1, i.
q, 1, i
Let z be -5 + -1 + (-2 - -4). Suppose -1102*h = -1099*h + 5*w + 3, -57 = -3*h + 5*w. Sort z, h, 3, -3 in descending order.
h, 3, -3, z
Suppose 2*d + 128*s - 2 = 129*s, 0 = 5*s - 10. Let k = 0.6 + -4.6. Put d, 0.05, k, 1 in increasing order.
k, 0.05, 1, d
Let o be -13 + 838 + (-3 - -2). Sort -4, 6, o.
-4, 6, o
Let i = 462 + -422.2. Let w = i - 39.5. Sort -0.5, w, 1.2 in increasing order.
-0.5, w, 1.2
Let j = -78 - -70. Suppose -5*r = -4*u + 12, -u - 99*r + 3 = -104*r. Sort u, j, 2, -2 in ascending order.
j, -2, 2, u
Let y(o) = -o**3 - 2*o**2 + 3*o + 5. Let z be y(-4). Let w = 25 - z. Let l(n) = -2*n**3 - 12*n**2 + n + 3. Let f be l(-6). Put 13, w, f in decreasing order.
13, w, f
Suppose 2*f - 5*d - 14 = 0, d + 28 = 152*f - 148*f. Put f, -0.15, -2 in ascending order.
-2, -0.15, f
Let t = -9 + 26/3. Suppose -v + 3*h = 6*h - 12, 5*v = -3*h. Put t, -0.3, -2/17, v in increasing order.
v, t, -0.3, -2/17
Let s be 24 + (-4267)/187 - (-1 + 2 - 0). Put -12, s, 1, -5, 12 in increasing order.
-12, -5, s, 1, 12
Let l = -95.04 - -94.94. Sort l, -10, -1, 3 in descending order.
3, l, -1, -10
Let y = 53 - 56. Let k be ((-24)/(-216))/((-2)/4). Sort 0.8, k, y in decreasing order.
0.8, k, y
Let s = -79651 - -398256/5. Let k = 2 + -2. Suppose -3*o + 0*o + 12 = k. Sort 2, s, o in ascending order.
s, 2, o
Let l be 55/(440/(-48)) - (0 - -2)*3. Put 0.262, l, -2/11 in decreasing order.
0.262, -2/11, l
Let d = -30421 + 30424. Put 4, d, 84 in increasing order.
d, 4, 84
Suppose -5*x = 8*t - 20, -2*x - 79*t + 8 = -80*t. Put -3, 1, x, 7 in decreasing order.
7, x, 1, -3
Suppose 2*n - 7 - 13 = -2*h, 18 = 2*h + 3*n. Let i be 64/(-36) + h/(-54) + 3. Sort i, -5, -1 in ascending order.
-5, -1, i
Let d be 1*(152/(-24) - -5)*(-18)/(-8). Sort -7/3, -2, d in ascending order.
d, -7/3, -2
Suppose -5*l - 5*p + 30 = 0, -10*p + 10 = 4*l - 13*p. Sort 5, 0, -19, -4, l in increasing order.
-19, -4, 0, l, 5
Let u = 0.345 + -0.145. Let n = -84 - -81.7. Put u, -1/6, n in decreasing order.
u, -1/6, n
Let z(v) = -147*v + 1345. Let g be z(9). Sort 0, g, 56 in descending order.
56, g, 0
Let b = 1.7 - 4.7. Let i = 0.45497 - -0.04503. Sort 4/9, i, b, -2/7 in ascending order.
b, -2/7, 4/9, i
Let w = -0.5 + 1.2. Let q = w + -0.2. Let h = -20003.2 + 20003. Sort h, q, 4.
h, q, 4
Let c = -60.9 - -57.9. Let w be 1/(((-209)/2)/(-11)). Sort -0.2, c, -2/5, w in ascending order.
c, -2/5, -0.2, w
Let g = 9211/15 + -3072/5. Sort g, -1/5, 0.1, -3, -55 in increasing order.
-55, -3, g, -1/5, 0.1
Let m be 1/(-5) + (-1006)/(-430) + -2. Sort 5, -1/8, m, -0.2 in decreasing order.
5, m, -1/8, -0.2
Let f = -143 - -58. Let t = 1072 + -1071. Let s be t*265/f + 3. Sort 0.1, s, 4/3.
s, 0.1, 4/3
Let r be ((-4)/(-6))/(11/22) + (-21)/14. Put r, -0.5, 0.4, -0.1, -0.67 in descending order.
0.4, -0.1, r, -0.5, -0.67
Suppose g - 2*l + 365 = -2*g, 3*g = -3*l - 360. Let j = g - -122. Sort -6, j, 4, -5.
-6, -5, j, 4
Suppose 5 = 4*o - a, 124*o - 4*a = 120*o - 4. Put -35, 2/3, 14, o in decreasing order.
14, o, 2/3, -35
Let v = -3.3 + 0.3. Let c = -798.91 - -790.91. Sort 0.1, 3, c, v in decreasing order.
3, 0.1, v, c
Let s = -156.83222 + -0.27778. Let r = 157 + s. Put r, -4, 4, -5 in ascending order.
-5, -4, r, 4
Let s be (9/(-3))/(484/792*27). Let f = -0.16 - 6.84. Sort -0.2, f, 2, s in decreasing order.
2, s, -0.2, f
Let k = -201 + 201.324. Let o = k - -0.676. Sort -3, -4, o in descending order.
o, -3, -4
Let p = -12169 - -12165. Sort -2, p, 3, -10 in descending order.
3, -2, p, -10
Suppose -596*d + 228*d + 1553 = 6337. Suppose -i + 4*a = -5*i - 24, -4*i - 2*a = 28. Let f = -5 - i. Put d, f, 2 in descending order.
f, 2, d
Suppose c = -4*c - 10. Let t = -0.196 + 0.596. Let p = 200 - 200.5. Sort t, p, c in descending order.
t, p, c
Let l = 7867.9 + -7868. Sort 97, l, -3, -3/7 in ascending order.
-3, -3/7, l, 97
Let o = 4251 - 4246. Put -4, 3, o, 45, -2 in ascending order.
-4, -2, 3, o, 45
Suppose 0 = 23*d - 20*d + 15. Let n be 20 + -19 + 6/2. Suppose 0 = -2*q + 2 +
|
{
"pile_set_name": "DM Mathematics"
}
|
. What is the units digit of d/(-14) + (-174)/(-21)?
8
Suppose -12 = 4*j, -j = -5*q + 4*q + 13. Suppose q = -0*k + k + 5*c, 8 = -k + c. What is the units digit of 3/15 + (-19)/k?
4
Let r(y) = -31*y + 5. What is the tens digit of r(-11)?
4
Suppose -12*j + 219 = -9*j. What is the units digit of j?
3
Let w(x) = -6*x**3 - x**2. What is the units digit of w(-2)?
4
Let x be (-1 - (7 - 1))*-2. Let z be 3 + -5 + x/2. What is the tens digit of 56/z - (-2)/(-10)?
1
Suppose -20 = -5*c, -n - c + 2 + 7 = 0. Suppose -3*r + 6*r + 3 = 0. Let i = n + r. What is the units digit of i?
4
Let c(y) be the third derivative of y**5/60 + 2*y**3/3 - 2*y**2. What is the units digit of c(-5)?
9
Let m(x) = -4*x**3 - x**2. Let s be m(-1). Suppose s*d = 2*d - 16. Let h = d - -23. What is the units digit of h?
7
Suppose 8*q = -5*q + 3120. What is the tens digit of q?
4
What is the tens digit of (-6)/(-1)*(69/6 - -3)?
8
Let z(u) be the first derivative of -u**3/3 - 11*u**2/2 + 10*u + 6. What is the units digit of z(-9)?
8
Suppose 2*m + 3 - 15 = -2*p, 4*p + 8 = 4*m. Suppose p*v = -2*v + 48. What is the tens digit of v?
1
Let v be -1 - ((-2)/2 - 0). Suppose 0 = -4*n + 4*f, v = -4*n + n - 4*f + 28. Suppose 0 = -n*h - 16, -p - 6 = -4*h - 24. What is the units digit of p?
2
Suppose -2*z = 3*z + 25. What is the tens digit of 3 + z*(-2 - 0)?
1
What is the units digit of (-12)/9*27/(-6)?
6
Let u(n) = -3*n**2 + 2 - n**3 + 2*n**3 + n**2. Suppose r + 6 = 9. What is the tens digit of u(r)?
1
Let b(i) = -5*i**3 + 2*i**2 - 1. Let v = 2 + -4. Let q be ((-5)/(-2) + -2)*v. What is the units digit of b(q)?
6
What is the units digit of 5/4*(5 - 1)?
5
Let w = -444 - -749. What is the units digit of w?
5
Let g be 8/(-3)*(-6)/4. Suppose -g = 2*j - 8. What is the units digit of j?
2
Let j = 177 + -27. What is the units digit of j?
0
Suppose 0*f = 5*f + 110. Let j(x) = x**3 + 4*x**2 - 2*x + 4. Let n be j(-5). Let h = n - f. What is the units digit of h?
1
Suppose 2*m + 372 = 5*m. What is the hundreds digit of m?
1
Suppose 5*g + 4*k - 151 = 0, g - 10 = -3*k + 18. What is the units digit of g?
1
What is the hundreds digit of 38/(-57) + ((-4144)/6)/(-4)?
1
Let q(g) = g**2 + g - 3. Let t be q(-3). Suppose -72 = -t*c + 39. What is the tens digit of c?
3
Suppose 0 = -6*r + r + 75. What is the units digit of r?
5
Suppose -4*a = -2*a. Suppose -4*s + 8 = -a. What is the units digit of s?
2
Let x = -25 - -13. Suppose 2*u = 3*u - 19. Let j = x + u. What is the units digit of j?
7
Let d be 1 - -2 - (5 + -2). Suppose d*w - w = -2. Suppose 0 = 2*y - 4*g - 14, 5*y - 75 = -0*y + w*g. What is the tens digit of y?
1
Let o be ((-2)/3)/(8/(-36)). Suppose o*c = -0*c. Let t(b) = -b**3 + 15. What is the tens digit of t(c)?
1
Let y = 7 + 3. Let r(p) = 3*p + y - 2*p + 4. What is the units digit of r(-8)?
6
Let i = -77 - -98. Suppose -2*j + 10 = -0*j. Suppose -4*v = -c + 22, j*c - 2*v - i = 35. What is the units digit of c?
0
Suppose -t + 3*i = -60 - 3, 0 = -4*t - 3*i + 297. What is the units digit of t?
2
Let c(f) = 3*f**3 + f**2 + f + 1. Suppose -2*o - 1 = -x + 1, -4*o - x = 4. Let z be c(o). What is the units digit of z - -9 - (0 + -2)?
9
Suppose 3*k + 4*p = 191, 4*p + 26 - 339 = -5*k. What is the tens digit of k?
6
Suppose 3*h = 3*v, 3 = 2*h - 5*v - 9. What is the units digit of 2 - (h + 0/(-2))?
6
Let i = -63 - -105. What is the tens digit of i?
4
Let v(f) = 6*f**2 + 2*f - 4. Let j be v(-4). Let l = j + -43. What is the units digit of l?
1
Suppose -2*t - 3*u - 65 = -2*u, 0 = 5*u + 5. What is the tens digit of 1 + 1 + (-4 - t)?
3
What is the units digit of 0/2 - -18*2/3?
2
Let d(h) = 3*h + 15. Let n be d(-5). Suppose -3*x - 2*v + 49 = 0, -5*x - 3*v = -n*v - 82. What is the tens digit of x?
1
Let w = 323 - 206. What is the units digit of w?
7
What is the units digit of (-1)/5 - 86/(-5)?
7
Let f(n) = -n**2 + 7*n - 1. Let s(g) = -g**2 - 12*g - 10. Let j be s(-10). Let w = j - 6. What is the units digit of f(w)?
1
Suppose k = -3*k - 124. Let p be (0 + 1)/((-4)/72). Let v = p - k. What is the units digit of v?
3
Let f be 1/5 + (-28)/(-10). Suppose 5*d + f*a = 3, -3 = 5*d - 0*d - 3*a. Suppose 0*n + 4*n - 68 = d. What is the tens digit of n?
1
Let y(o) = o**3 + 7*o**2 + 4*o + 2. Let x be (-32)/6 + (-4)/6. What is the units digit of y(x)?
4
Let h(b) = b**2 + b - 14. What is the tens digit of h(6)?
2
What is the units digit of 5085/35 + (-2)/7?
5
What is the units digit of (5 + -4)/((-2)/(-6))?
3
Let s be 70/20 + 1/(-2). Suppose s = -w + 10. What is the units digit of w?
7
Let n(l) = 10*l + 4. Let f be n(-3). What is the tens digit of 2 + f/3*-3?
2
Let x = -3 - -5. Suppose -4*l = -8, 0*q - 3*l = x*q - 10. Suppose 0 = -o + q, -v + 0 = o - 17. What is the units digit of v?
5
Let j = 37 + -13. Suppose 0 = 2*l - 5*l + j. What is the units digit of l?
8
Suppose 2*m + 0*m = -o - 21, -m + 2*o - 8 = 0. Let z = m - -26. What is the tens digit of z?
1
Let d = -11 - -8. Let t = d - -9. What is the units digit of t?
6
Let q(j) = -42*j**3 + 2*j - 1. Let z be q(1). Let l = z + 26. Let f = l + 32. What is the units digit of f?
7
Let d(k) be the first derivative of k**4/4 - 8*k**3/3 - 2*k**2 - 13*k + 1. What is the units digit of d(9)?
2
Let u = 174 - 112. What is the tens digit of u?
6
Let m(y) = -y**3 + 8*y**2 + 9*y + 4. Let q be m(9). Suppose 3*n + q = 1. What is the units digit of 3/6*(13 + n)?
6
Suppose -4*q + 2 = -50. Suppose 2*j + a - 5 = 0, -4*j + 4*a - q = -5*j. What is the units digit of j?
1
Suppose 2*i - 4*u = -u - 9, -u = 5*i - 20. What is the units digit of (-3)/(i + 0) - -3?
2
Let c = -5 + 21. Suppose -w = 3*w + c. Let l = 6 + w. What is the units digit of l?
2
Let y be ((-6)/(-4))/(12/(-16)). What is the units digit of y + 0 + 2 + 14?
4
Suppose -2 = -s + 3, 0 = -2*x + 3*s + 27. Let f(m) = -2*m**3 + 11*m**2 + 2*m + 14. Let u be f(6). Let j = x + u. What is the tens digit of j?
1
Let y = 3 - -21. What is the tens digit of y?
2
Let d(g) = 6*g**3 + 3*g**2 + g. Let x be d(-2). Let c be x/(-14) - 4/(-14). Suppose -12 = -p - c. What is the units digit of p?
9
Let o(g) = 8*g + 42. What is the units digit of o(13)?
6
Suppose -13 - 12 = -5*t. Suppose -4*s + 1 = n, s = -0*n + 5*n - t. What is the units digit of n?
1
Suppose -2 = 3*r - 4*r - 2*o, -1 = -o. Suppose r = -4*d - 3*n + 22, -n = -2*d + n + 18. Suppose -d + 2 = -5*k. What is the units digit of k?
1
Suppose 11 + 1 = 2*l. What is the units digit of l?
6
Let j(o) = o + 9. Suppose 2*t - l - 10 = -5*l, l + 5 = 0. Suppose 4*f + 13 = -t. What is the units digit of j(f)?
2
What is the tens digit of ((-21)/12)/((-3)/(83 + 1))?
4
Suppose -o = -5*r - 24, -3*o + 2*o = 5*r + 26. Let h be -3*((-4)/6 + o). Let p = -3 + h. What is the units digit of p?
2
Suppose 0 = -0*o - 5*o + 5. Let x be ((-4)/(-5))/(o/5). What is the units digit of 2/4 + 18/x?
5
Let o be ((-4)/(-5))/(2/20). Suppose c - o = 27. What is the tens digit of c?
3
Suppose -2*t + 5*q + 17 = 0, 0*q = -2*t + q + 21. What is the tens digit of (-16)/88 - (-255)/t?
2
Let i be (2/(-4))/((-2)/(-12)). What is the units digit of i/(-9) - 10/(-6)?
2
Suppose -i + 3*d + 54 = 0, 3*d = 5*i - 2*d - 230. Let n = -24 + i. What is the tens digit of n?
1
Let m(q) be the second derivative of -q**3/2 - q**2 - 5*q. What is the units digit of m(-5)?
3
Suppose -f - 293 = -25. What is the units digit of f/(-22) - (-10)/(-55)?
2
Let u(l) = -3*l**3 - 3*l**2 - 3*l - 1. What is the units digit of u(-2)?
7
Let y(x) = -x**2 - 16*x - 9. What is the units digit of y(-14)?
9
Let v = -22 - -25. What is the units digit of (-12)/3 + 37 + v?
6
Let i(v) = 4*v**2. Suppose -35 = -5*u - a - 4*a, a = 3. Suppose -u = t - 3*t. What is the tens digit of i(t)?
1
Let a = -8 - -11. Let j be a/9 + (-16)/(-6). Suppose 5*p - 2*v = 20, 3 + 12 = 5*p - j*v. What is the units digit of p?
6
Suppose 10 = c + o, 2*c - c - 3*o = 2. Let j be (-4)/16 + (-25)/(-4). Let y = c - j. What is the units digit of y?
2
Let r(p) = -p - 5. Let m be r(-9). Let k = m - -28. What is the tens digit of k?
3
Let z = 13 + -41. Let a = z + 63. What is the units digit of a?
5
Let a(i) = -3*i**2 - 7*i - 1 + 3 - 3 + 2*i**2. What is the units digit of a(-6)?
5
What is the tens digit of 286/5 - 5/(-25)*-1?
5
Suppose -4*w + 3*w + 30 = 0. What is the tens digit of w?
3
Suppose -4*w + 2*h = 5*h - 6, 4*w - 5*h = 22. Su
|
{
"pile_set_name": "DM Mathematics"
}
|
*3 + 2*j**2 - 3*j - 3. Let p(a) = -a**2 + 1. Let i be p(-2). Let u be g(i). Let y(s) = s**2 - 5*s - 1. Let c(m) = -m - 1. Calculate u*c(x) + y(x).
x**2 - 2*x + 2
Let n be 2*2/(-8)*-2. Let f be (n*-2)/(2/1). Let j(t) = 14*t - 12. Let d(k) be the first derivative of -k**2/2 + k + 2. What is f*j(l) - 12*d(l)?
-2*l
Let p(q) = 2*q**2 - 3*q - 2. Let d(t) = -6*t**2 - 5*t + 6. Let l(n) = -n**2 - n + 1. Let x(g) = -2*d(g) + 11*l(g). Give -2*p(h) + 6*x(h).
2*h**2 - 2
Let i(x) be the third derivative of -x**5/30 - x**4/8 - x**3/3 + x**2. Let k(w) = w**3 - 3*w**2 - 4*w - 3. Let y be (-6)/4*2*(-5 - -4). What is y*i(o) - 2*k(o)?
-2*o**3 - o
Let j(y) = -4 - 5*y - 6 - 5*y. Let r(v) = v + 1. Let d(p) = -p**2 - 4*p - 1. Let x be d(-4). Let m = 12 - 24. Give m*r(s) + x*j(s).
-2*s - 2
Let g(v) = -v + 7*v + 6*v**3 - 5 - v. Let d(n) = -n + 3*n - 3 + 5*n**3 + n**2 + 2*n. Let l(q) = -q**2 - 1. Let i(c) = d(c) + l(c). Give -4*g(p) + 5*i(p).
p**3
Let i(o) be the third derivative of o**4/12 + 6*o**2. Let j(n) = -2*n. What is 5*i(s) + 6*j(s)?
-2*s
Let w(r) = 10*r - 16. Let t be 2/11 + 42/11. Suppose 0*o - t*o = -y - 9, -3*y = 3. Let a(s) = 0 + 3 - s - s. Give o*w(x) + 11*a(x).
-2*x + 1
Let u(k) be the first derivative of -7*k**2 + 14*k - 1. Let g(z) = 5 + 11*z - 7 + 15*z - 7 - 17*z. Determine 8*g(q) + 5*u(q).
2*q - 2
Let j(t) = -t - 19. Let u(g) = 2. Calculate -2*j(z) - 22*u(z).
2*z - 6
Let s(u) = 4*u**2 - 2*u + 4. Let y(r) = -9*r**2 + 3*r - 9. Let n be -2 + 24/6 - -3. Determine n*s(z) + 2*y(z).
2*z**2 - 4*z + 2
Let z(b) = 6*b**2 - 5 + 5 + 7*b - 4. Let w(v) = 4*v**2 + 5*v - 3. Determine 7*w(t) - 5*z(t).
-2*t**2 - 1
Let k(v) be the third derivative of -v**6/144 + v**5/24 + v**4/8 - 7*v**2. Let r(c) be the second derivative of k(c). Let a(q) = q - 1. What is 3*a(p) + r(p)?
-2*p + 2
Let t(r) be the first derivative of -16*r**3/3 + 7*r**2 + 14*r - 40. Let c(o) = o**2 - o - 1. Calculate 42*c(d) + 3*t(d).
-6*d**2
Let v(m) = -17*m + 10. Let t(d) = 8*d - 5. Calculate 13*t(a) + 6*v(a).
2*a - 5
Let z be (1 - 0)*(-4 - -3). Let j(d) = -d - 1. Let x be (2 - 3 - 1)*1. Let r(p) = -3. Let f(k) = -12. Let b(m) = -4*f(m) + 15*r(m). Give x*j(l) + z*b(l).
2*l - 1
Let o(m) = 6*m**2 - m + 3. Let k(s) = 5*s**2 - s + 2. Give -4*k(w) + 3*o(w).
-2*w**2 + w + 1
Let r(j) = j**2 - j. Let t(k) = -k**2 + 4*k - 2. What is -r(q) + t(q)?
-2*q**2 + 5*q - 2
Let c(d) = 8*d**2 + 11*d - 116. Let g(n) = -3*n**2 - 4*n + 39. Determine -4*c(t) - 11*g(t).
t**2 + 35
Let v be ((-5)/15)/((-1)/6). Suppose v = 2*r - 2. Let j(y) = -y**2 + 2*y - 2. Let p(l) = -2*l + 3. What is r*p(s) + 3*j(s)?
-3*s**2 + 2*s
Let p(q) = -q. Let s(g) = -5*g**2 + 5*g + 2. Calculate 6*p(k) + s(k).
-5*k**2 - k + 2
Let j(m) = m**2 - 2*m. Let w(u) = -u**2 + 3*u. Calculate 3*j(z) + 2*w(z).
z**2
Let t(r) = -r - 3. Let c be (-26)/6 - (-2)/6. Let u(z) = z + 4. Determine c*t(k) - 3*u(k).
k
Suppose 0 = -0*h - 4*h. Let w = -6 + h. Let u(d) = -7*d + 6. Let i(k) = -8*k + 7. What is w*u(f) + 5*i(f)?
2*f - 1
Let a(n) = -2*n**3 - 6*n**2 - 6*n + 7. Let i(x) = -2*x**3 - 7*x**2 - 7*x + 8. Calculate 7*a(m) - 6*i(m).
-2*m**3 + 1
Let b = 7 + -13. Let h(m) = -5*m - 6 - m - 6*m + 19*m. Let o(x) = -8*x + 7. Let j be 32/(-6) - 2/(-6). What is b*h(l) + j*o(l)?
-2*l + 1
Let y(w) = -w**2 + w + 1. Let p(i) be the first derivative of i**2/2 + i - 4. Determine -p(o) + y(o).
-o**2
Let g(k) = -16*k**2 + k - 2. Let s(c) = -c + 1. Give g(n) + s(n).
-16*n**2 - 1
Let j = 11 - 24. Let p(k) = 1 + 2*k - 3*k + 2*k + 1. Suppose 5*n = 5*d - 37 - 8, -5*d + 15 = 0. Let a(c) = -2*c - 4. What is j*p(u) + n*a(u)?
-u - 2
Let t(a) = 1. Let s(q) be the second derivative of -q**3/6 - 7*q**2/2 + 14*q + 2. What is -s(f) - 3*t(f)?
f + 4
Let h be 40/12 + -3 - (-4)/6. Let g(x) = -x - 1. Let n(z) = -7*z - 8. What is h*n(t) - 5*g(t)?
-2*t - 3
Let h(u) = 4*u**2 + 4*u - 3. Let q(j) = -4*j - 1. Let l be q(-1). Let x(d) = l + 2*d - 3 + d**2 - d - 1. Give h(w) - 3*x(w).
w**2 + w
Let s = 31 + -29. Suppose 5*a + 0*a = 10. Let u(k) = 0*k**2 + 2*k**2 - a - 5*k - 3*k**2. Let x(v) = 2*v + 1. Give s*u(w) + 5*x(w).
-2*w**2 + 1
Let l(d) = 12*d**2 - 9*d - 5. Let r(j) = -3*j**2 + 2*j + 1. What is 2*l(y) + 9*r(y)?
-3*y**2 - 1
Suppose -2*r + 0*r = -8. Let y(z) = 5*z + 4. Let c(w) = -2*w - 2. Suppose 0 = 3*g + 2*b - 3 - 18, 2*g = -5*b + 3. Determine g*c(t) + r*y(t).
2*t - 2
Let i(r) = -r**2 + 2*r - 2. Let m = -58 - -63. Let z(u) = -2*u**2 + 5*u - 5. What is m*i(l) - 2*z(l)?
-l**2
Let z(q) = -5*q + 1. Let s(h) = 4*h - 1. Give -3*s(c) - 2*z(c).
-2*c + 1
Let s = -18 + 14. Let h(f) = -f**3 + 2*f**2 + f + 1. Let g be h(2). Let l(o) = 2 + g*o**2 - 2*o + 4 - 4. Let u(d) = -4*d**2 + 3*d - 3. Give s*u(i) - 5*l(i).
i**2 - 2*i + 2
Let u be 1 + (3 - (2 + 0)). Let z(y) = u + y + 2 - 3*y - y. Let p(w) = 14*w + 3. Let d(f) = 5*f + 1. Let i(g) = 17*d(g) - 6*p(g). Determine 2*i(j) + z(j).
-j + 2
Let w(g) = -5*g**3 + 6*g**2 + 7*g + 8. Let v(y) = -y**3 + y**2 + y + 1. Calculate 6*v(m) - w(m).
-m**3 - m - 2
Let y(w) = 23*w**3 + 17*w**2 - 23. Suppose 44 + 41 = -5*r. Let t(j) = -8*j**3 - 6*j**2 + 8. Calculate r*t(z) - 6*y(z).
-2*z**3 + 2
Let k(i) = -13*i - 1. Let o(s) = -s + 1. Determine -k(g) - o(g).
14*g
Let u(o) = -11*o + 5. Let i(x) = 5*x - 3. Determine -7*i(p) - 4*u(p).
9*p + 1
Let w(x) = 2*x - 7. Let c(r) = r - 4. Let p(v) = -v + 4. Let g(y) = 4*c(y) + 5*p(y). Give 5*g(f) + 3*w(f).
f - 1
Let o = -2 + -1. Let q(x) = -2*x - 7. Let g(d) = -1. Let k(b) = -5*g(b) + q(b). Let n(i) = 2*i + 2. Determine o*k(v) - 2*n(v).
2*v + 2
Let v(h) = 17*h + 4. Let q = -160 + 149. Let w(f) = 9*f + 2. Give q*w(i) + 6*v(i).
3*i + 2
Let k(a) = 3*a + 6. Let n(r) = -3*r - 7. What is -4*k(m) - 3*n(m)?
-3*m - 3
Let j(h) = -h. Let k(n) = n**3 - 5*n**2 + 11*n - 5. Let q be k(4). Let b = q - 22. Let r(z) = 2*z + 3. Give b*r(u) + 3*j(u).
-u + 3
Let a(w) be the first derivative of -w**4 - 2*w**3/3 + 1. Suppose 6 = 5*c + y, -4*c - c - 2*y + 2 = 0. Let z(u) = 5*u**3 + 3*u**2. What is c*z(q) + 3*a(q)?
-2*q**3
Let v(r) be the second derivative of r**4/12 - r**2/2 - r. Let o(i) = i**3 + 2*i**2 - 2. Let y = -28 - -32. What is y*v(h) - 2*o(h)?
-2*h**3
Let a(q) = 3*q - 4. Let b(u) = -3*u + 3. Let r(c) = 3*a(c) + 4*b(c). Let n(k) = -2*k. What is 2*n(i) - 3*r(i)?
5*i
Let a(p) = -p**2 - 7*p + 5. Let i(g) = -2*g**2 - 11*g + 17. Let f(n) = -n**2 - 6*n + 8. Let m(d) = -5*f(d) + 2*i(d). Calculate -5*a(c) - 4*m(c).
c**2 + 3*c - 1
Let x(j) = j**3 + 4*j**2 - 1. Let k be x(-4). Let f be 4*(k - 33/(-12)). Let r(n) = -3*n. Let i(b) = -5*b. Let q = 18 - 22. Give f*r(y) + q*i(y).
-y
Let o(f) = f. Suppose 0 = -d - 11*d + 24. Let g(v) = -6*v - 1. Give d*g(s) + 10*o(s).
-2*s - 2
Let y(t) = -t - 1. Let n(j) = 3. Determine -n(k) - 3*y(k).
3*k
Let i(g) = -g - 1. Let z(c) = -6*c - 4. Give -14*i(a) + 3*z(a).
-4*a + 2
Let l(f) be the second derivative of 0 - 5/2*f**2 + 7/6*f**3 + f. Let h(p) = 9 + p - 9*p - 3. Give 5*h(n) + 6*l(n).
2*n
Let v(l) = -2 + 7 - 1 - 6*l**3 + 0 + 4*l - 5*l**2. Let y(h) = h**3 + h**2 - h - 1. Give -v(c) - 5*y(c).
c**3 + c + 1
Let y(r) = -3*r**3 + 10*r**2 + 2*r + 2. Let w(o) = 4*o**3 - 9*o**2 - 2*o - 2. Determine 2*w(k) + 3*y(k).
-k**3 + 12*k**2 + 2*k + 2
Let k(x) = -x + 3. Let t(n) = 1. Let d(q) = q**3 - 5*q**2 + 2*q - 4. Let a be d(5). Suppose 2*j = -2*s + 12, s + 3*j - 10 = a*s. Calculate s*k(m) - 3*t(m).
-m
Let i(c) = c**2 + c + 1. Let w(h) be the second derivative of h**5/20 - 5*h**4/12 - h**3 - 5*h**2/2 + 3*h. What is 10*i(m) + 2*w(m)?
2*m**3 - 2*m
Let s(m) = -m**3 + m**2 - m. Let r(y) = y**3 - 3*y**2 - y - 2. What is -r(a) - 3*s(a)?
2*a**3 + 4*a + 2
Let i(y) = y**2 + 2*y + 1. Let c be i(-2). Let h(w) = -4*w + 1. Let q(j) = j. Determine c*h(o) + 3*q(o).
-o + 1
Let p(s) = 6*s - 2. Let l(i) be the second derivative of -i**3 + i**2/2 + 8*i + 2. Give 3*l(c) + 2*p(c).
-6*c - 1
Let m(a) = 417 - a + 0*a - 424. Let h(o) = -1. Determine 14*h(s) - 2*m(s).
2*s
Let c(u) = 2*u + 2. Let s = -3 + 2. Let h(d) be the second derivative of -d**2/2 + d - 1. Calculate s*c(w) - 4*h(w).
-2*w + 2
Let s(c) = 1. Let q(t) be the second derivative of t**3/3 + 7*t**2/2 - t. Suppose 0 = -p + 2 - 0, -3*m = -p + 5. What is m*q(u) + 6*s(u)?
-2*u - 1
Let x(t) = -27*t**2 + 8*t + 27. Let o(m) = 7*m**2 - 2*m - 7. Let a(b) = 9*o(b) + 2*x(b). Let q(c) = -5*c**2 + c + 5. Determine -4*a(u) - 7*q(u).
-u**
|
{
"pile_set_name": "DM Mathematics"
}
|
erm of -803, -1631, -2459, -3287?
-828*w + 25
What is the g'th term of 3070740, 6141483, 9212228, 12282975, 15353724, 18424475, 21495228?
g**2 + 3070740*g - 1
What is the x'th term of -156, -158, -160, -162, -164, -166?
-2*x - 154
What is the i'th term of 320, 361, 426, 527, 676, 885, 1166, 1531?
2*i**3 + 27*i + 291
What is the u'th term of 122, 509, 1188, 2189, 3542?
5*u**3 + 116*u**2 + 4*u - 3
What is the w'th term of 398, 764, 1136, 1514, 1898, 2288?
3*w**2 + 357*w + 38
What is the z'th term of -1774, -1830, -1886?
-56*z - 1718
What is the i'th term of -22874, -91501, -205880, -366011, -571894, -823529, -1120916?
-22876*i**2 + i + 1
What is the j'th term of -16466, -32931, -49400, -65873, -82350, -98831?
-2*j**2 - 16459*j - 5
What is the n'th term of -2568, -2591, -2660, -2799, -3032, -3383?
-4*n**3 + n**2 + 2*n - 2567
What is the g'th term of -3105, -6196, -9281, -12366, -15457?
-g**3 + 9*g**2 - 3111*g - 2
What is the i'th term of -99459, -99457, -99455?
2*i - 99461
What is the g'th term of 66297, 132597, 198897?
66300*g - 3
What is the h'th term of -69218, -69225, -69232?
-7*h - 69211
What is the b'th term of 21972, 21971, 21972, 21975, 21980, 21987?
b**2 - 4*b + 21975
What is the l'th term of 5566, 11158, 16788, 22468, 28210, 34026, 39928?
2*l**3 + 7*l**2 + 5557*l
What is the z'th term of -12435, -99383, -335383, -794961, -1552643, -2682955?
-12421*z**3 - z - 13
What is the i'th term of 37, -98, -331, -668, -1115, -1678, -2363, -3176?
-i**3 - 43*i**2 + i + 80
What is the y'th term of 7248, 28959, 65144, 115803, 180936?
7237*y**2 + 11
What is the g'th term of 70, 143, 300, 583, 1034, 1695?
7*g**3 + 24*g + 39
What is the g'th term of 1077, 1024, 887, 624, 193, -448, -1341?
-7*g**3 - 4*g + 1088
What is the j'th term of 2850, 2849, 2848, 2847?
-j + 2851
What is the v'th term of -101197, -101199, -101201, -101203, -101205?
-2*v - 101195
What is the i'th term of -39, -122, -243, -408, -623, -894?
-i**3 - 13*i**2 - 37*i + 12
What is the x'th term of 467, 823, 1179, 1535, 1891, 2247?
356*x + 111
What is the f'th term of 2539, 2663, 2841, 3067, 3335, 3639, 3973, 4331?
-f**3 + 33*f**2 + 32*f + 2475
What is the i'th term of -479031, -479034, -479037?
-3*i - 479028
What is the q'th term of -528, -3241, -10618, -24993, -48700, -84073?
-389*q**3 + 2*q**2 + 4*q - 145
What is the c'th term of 1094, 4507, 10196, 18161, 28402, 40919, 55712?
1138*c**2 - c - 43
What is the j'th term of -6647, -6633, -6617, -6605, -6603, -6617, -6653, -6717?
-j**3 + 7*j**2 - 6653
What is the y'th term of -3193, -3226, -3259?
-33*y - 3160
What is the m'th term of -145, -593, -1351, -2419?
-155*m**2 + 17*m - 7
What is the i'th term of 1084, 5053, 11668, 20929?
1323*i**2 - 239
What is the b'th term of 40, 391, 1320, 3115, 6064, 10455?
48*b**3 + b**2 + 12*b - 21
What is the l'th term of 518, 501, 472, 431, 378, 313?
-6*l**2 + l + 523
What is the c'th term of 2344, 2387, 2430?
43*c + 2301
What is the y'th term of 519, 617, 715, 813, 911?
98*y + 421
What is the d'th term of -9362, -37451, -84266, -149807, -234074?
-9363*d**2 + 1
What is the z'th term of 13237, 26475, 39715, 52957, 66201, 79447?
z**2 + 13235*z + 1
What is the l'th term of 75, 38, -1, -30, -37, -10?
2*l**3 - 13*l**2 - 12*l + 98
What is the m'th term of -8740, -17466, -26190, -34912, -43632, -52350, -61066?
m**2 - 8729*m - 12
What is the d'th term of -21, -39, 37, 291, 807, 1669, 2961?
14*d**3 - 37*d**2 - 5*d + 7
What is the d'th term of 45269, 45260, 45251, 45242, 45233?
-9*d + 45278
What is the d'th term of -215, -201, -167, -113, -39, 55?
10*d**2 - 16*d - 209
What is the d'th term of 122850, 122856, 122858, 122856, 122850?
-2*d**2 + 12*d + 122840
What is the b'th term of 6560, 6830, 7100, 7370, 7640, 7910?
270*b + 6290
What is the r'th term of 3686, 3518, 3352, 3188, 3026, 2866?
r**2 - 171*r + 3856
What is the r'th term of -158661, -158662, -158663, -158664?
-r - 158660
What is the y'th term of 536, 2171, 4924, 8795, 13784?
559*y**2 - 42*y + 19
What is the t'th term of -145, -348, -687, -1162, -1773?
-68*t**2 + t - 78
What is the j'th term of -621, -428, -239, -54, 127, 304, 477?
-2*j**2 + 199*j - 818
What is the v'th term of -2824, -6042, -9260, -12478, -15696?
-3218*v + 394
What is the p'th term of 91, 118, 195, 346, 595, 966, 1483?
4*p**3 + p**2 - 4*p + 90
What is the h'th term of 10195, 10189, 10179, 10165?
-2*h**2 + 10197
What is the z'th term of -952, -1141, -1458, -1909, -2500, -3237, -4126, -5173?
-z**3 - 58*z**2 - 8*z - 885
What is the t'th term of -21204, -21196, -21174, -21132, -21064?
t**3 + t**2 - 2*t - 21204
What is the m'th term of -756117, -756116, -756115, -756114, -756113?
m - 756118
What is the i'th term of -720, -1717, -3004, -4587, -6472, -8665?
-i**3 - 139*i**2 - 573*i - 7
What is the n'th term of -618, -1211, -1776, -2307, -2798, -3243?
n**3 + 8*n**2 - 624*n - 3
What is the o'th term of -1228, -2557, -4016, -5605?
-65*o**2 - 1134*o - 29
What is the x'th term of 1257634, 2515269, 3772904, 5030539, 6288174, 7545809?
1257635*x - 1
What is the r'th term of 128621, 128618, 128615, 128612, 128609?
-3*r + 128624
What is the w'th term of -3119, -6025, -8931, -11837?
-2906*w - 213
What is the l'th term of -482, -2303, -5336, -9581, -15038, -21707, -29588?
-606*l**2 - 3*l + 127
What is the h'th term of 308, 791, 1596, 2723, 4172?
161*h**2 + 147
What is the c'th term of -91, -88, -71, -40, 5?
7*c**2 - 18*c - 80
What is the f'th term of -1665, -1629, -1593?
36*f - 1701
What is the a'th term of -546551, -1093098, -1639643, -2186186?
a**2 - 546550*a - 2
What is the w'th term of 5896, 23346, 52426, 93136, 145476, 209446, 285046?
5815*w**2 + 5*w + 76
What is the x'th term of -904, -7268, -24540, -58174, -113624, -196344, -311788, -465410?
-909*x**3 - x + 6
What is the h'th term of 7952, 8087, 8224, 8363?
h**2 + 132*h + 7819
What is the l'th term of -2867, -3040, -3213, -3386?
-173*l - 2694
What is the z'th term of -96, -445, -1056, -1935, -3088, -4521?
-z**3 - 125*z**2 + 33*z - 3
What is the a'th term of -983, -1792, -2601, -3410, -4219, -5028?
-809*a - 174
What is the v'th term of -14142, -14145, -14148, -14151?
-3*v - 14139
What is the u'th term of -293063, -293062, -293061, -293060, -293059?
u - 293064
What is the y'th term of -4858, -9607, -14356, -19105, -23854?
-4749*y - 109
What is the d'th term of -91, -411, -945, -1693, -2655, -3831?
-107*d**2 + d + 15
What is the n'th term of -18193, -36389, -54585, -72781, -90977?
-18196*n + 3
What is the c'th term of -15863, -31725, -47587?
-15862*c - 1
What is the a'th term of -589837, -589836, -589835, -589834?
a - 589838
What is the r'th term of 115792, 231568, 347346, 463126?
r**2 + 115773*r + 18
What is the r'th term of -381, -442, -511, -582, -649, -706, -747, -766?
r**3 - 10*r**2 - 38*r - 334
What is the m'th term of 931, 877, 817, 757, 703?
m**3 - 9*m**2 - 34*m + 973
What is the g'th term of 123094, 492372, 1107834, 1969480, 3077310, 4431324, 6031522?
123092*g**2 + 2*g
What is the u'th term of -89, -212, -551, -1214, -2309, -3944, -6227?
-18*u**3 + 3*u - 74
What is the t'th term of -362, -687, -1394, -2675, -4722, -7727?
-32*t**3 + t**2 - 104*t - 227
What is the j'th term of 2244, 4491, 6754, 9033?
8*j**2 + 2223*j + 13
What is the w'th term of -2760576, -5521152, -8281728?
-2760576*w
What is the u'th term of -47, -408, -1107, -2150, -3543?
-u**3 - 163*u**2 + 135*u - 18
What is the m'th term of -87869, -175736, -263603?
-87867*m - 2
What is the f'th term of -78, -61, -16, 57, 158?
14*f**2 - 25*f - 67
What is the t'th term of -1077, -2150, -3227, -4308?
-2*t**2 - 1067*t - 8
What is the c'th term of -5125651, -5125652, -5125653, -5125654, -5125655, -5125656?
-c - 5125650
What is the v'th term of -13135, -52620, -118453, -210634, -329163, -474040?
-13174*v**2 + 37*v + 2
What is the h'th term of 693, 280, -133?
-413*h + 1106
What is the l'th term of 2916, 2873, 2802, 2703?
-14*l**2 - l + 2931
What is the w'th term of -369923, -369933, -369957, -370001, -370071, -370173, -370313?
-w**3 - w**2 - 369921
What is the x'th term of -426, -403, -342, -225, -34?
3*x**3 + x**2 - x - 429
What is the r'th term of 132, 761, 1882, 3495, 5600, 8197?
246*r**2 - 109*r - 5
What is the s'th term of 3002, 3003, 3004, 3005?
s + 3001
What is the d'th term of -9031, -9018, -90
|
{
"pile_set_name": "DM Mathematics"
}
|
l**2)*(-2 + 2 + 2)).
-25*l**3
Expand (23*i**5 - 9*i**2 + 9*i**2)*(1 - 4 - 3) + 4*i**5 + i**5 - 2*i**5 + 3*i**4 + 6*i**5 - 14*i**5 + 5*i**5.
-138*i**5 + 3*i**4
Expand (15 - 26*x - 26*x + 49*x)*(60*x**3 - x**3 - x**3).
-174*x**4 + 870*x**3
Expand (h - 8 + 8)*(h - 3*h + h + (-3*h + 0*h + h)*(-4 + 4 + 2) + (-117 + 57 + 59)*(11*h - 7 + 7)).
-16*h**2
Expand 3*y - 3*y - y**4 + (-2*y - 2*y**3 + 2*y)*(-3*y + 2*y - y) + y**4 + 0*y + 0*y + (-5 - 15 - 6)*(-12*y**3 + 5*y**3 + 22*y**3)*(21*y + 20*y - 25*y).
-6236*y**4
Expand (-4 + 4 - a**4)*(9 - 1 + 10) + a**4 - a**3 + a**3 + 5*a**4 + a**4 - 47*a**4.
-58*a**4
Expand (0*t**4 - 3*t**4 + 2*t**4)*(-2*t + 3*t + 4*t + (-3 + 2 - 1)*(2*t - 7*t + 3*t)) - 48*t**5 - 9400 + 9400.
-57*t**5
Expand (-1507*z**2 + 120*z**2 - 1050*z**2 - 357*z**2)*(0 - 3 + 0).
8382*z**2
Expand (5*p + 8*p - 75*p - p + 0 + 0 + (0 - 5 + 3)*(p + 2*p - 2*p))*(-2*p**2 - 4*p**2 + 5*p**2).
65*p**3
Expand 1839*y**4 + 171*y + 175*y - 346*y + 226*y**4 + 2*y**4 + 4 - 4 + (0 + 0 + y)*(y**3 - 3*y**3 + 3*y**3) - y**4 + 3*y**4 + 0*y**4.
2070*y**4
Expand (22048*v + 2082*v - 2004*v)*(0 + 5 - 3).
44252*v
Expand (5*i - 5*i + 2*i**2)*(257*i + 99*i + 20*i) + i**3 + 0*i**3 + 2*i**3.
755*i**3
Expand -2*r + r + 2*r + (r + r + 4*r)*(3 - 3 - 1) - 3*r + 0*r + r + (9 + 15 - 12)*(3 - 3 + 3*r).
29*r
Expand (29*k + 90 - 90)*(20 - 37 + 20 + (0 - 4 + 3)*(-4 + 2 + 4))*(2 - 4 + 4).
58*k
Expand (-3 - 4 + 4)*(82*c - 42*c + 10*c + 31).
-150*c - 93
Expand (-2571 - 203 - 498)*(2*s**3 - 4*s**3 + 0*s**3).
6544*s**3
Expand (-14 - l - 14 - 5)*(-26*l**2 - 10*l**2 - 28*l**2)*(-1 + l**2 + 1).
64*l**5 + 2112*l**4
Expand (-r - 3 + 3)*(0*r + 3*r - 2*r)*(2*r**3 - 3*r**3 - r**3) + 365*r**5 + 198600*r**2 - 198600*r**2.
367*r**5
Expand (((2 + 0 - 4)*(-7 + 2 + 3) + 0 + 1 + 3)*(0*t - 2*t + 0*t) + 1 + 3*t - 1 + (2 - 5 + 2)*(4*t - 4*t - 3*t))*(21 + 3 - 2).
-220*t
Expand -808*x + 1598*x + 782*x**2 - 785*x + (-x - 2*x + 2*x)*(-x - 3*x + 2*x).
784*x**2 + 5*x
Expand ((-3*p**2 - 2*p**2 + 3*p**2)*(3*p + 0*p - 5*p) + 6*p**3 - 8*p**3 + 12*p**3)*(4 - 1 + 5)*(161 - 161 - 154*p).
-17248*p**4
Expand (-2*k + 3*k + k + 1)*(431*k**2 - 9*k**2 + 110*k**2).
1064*k**3 + 532*k**2
Expand (-4 - 1 + 2)*(5*d**2 + 0*d**2 - 4*d**2)*(2 + 1 - 13)*(-2 + 0 - 1).
-90*d**2
Expand (-h + 6*h - 2*h)*(h**3 - 6*h**3 + 37*h**3 + (-4*h + 2*h + 3*h)*(4*h**2 - 3*h**2 - 4*h**2)).
87*h**4
Expand -5*s**3 - s**3 + 7 - 5 + (0*s**2 - 6*s**2 + s**2)*(0 + 0 - 2*s).
4*s**3 + 2
Expand (-8*v**2 - 4*v**2 + 5*v**2)*(-3 - 1 + 1 + (-6 - 2 + 0)*(4 - 2 + 0)).
133*v**2
Expand (2 + 4 - 4)*(-40593*j**2 + 17573*j**2 + 16200*j**2)*(0*j + 0*j + 3*j).
-40920*j**3
Expand (-154*i**3 - 17*i**4 + 154*i**3)*(0 + 2*i + 0 + (5 - 5 + 2)*(2*i - i - 3*i) + i + i - 3*i) + 108*i**5 + 192*i**5 - 119*i**5.
232*i**5
Expand (4*h - h - 4*h + (h - 2*h - h)*(2 - 2 + 1) - 3*h + 2*h + 0*h)*(0 + 2 - 4)*(-860 + 862 + 13*h + 27*h).
320*h**2 + 16*h
Expand ((2 + 2 - 6)*(4*v - 5*v + 3*v) - 18*v - 3*v + 58*v)*(-v**2 - 2*v**2 + 0*v**2).
-99*v**3
Expand -14*j + 92193*j**2 + 64*j - 14*j - 16*j - 20*j + (-3*j - j + 2*j)*(-j + 4 - 4) + 0*j + j**2 + 0*j.
92196*j**2
Expand 0*r**2 - 2*r**2 + 0*r**2 + ((2*r - 2*r + r)*(3 - 5 + 3) + 41*r - 29*r + 18*r)*(-2*r - r + r + (-3 - 2 + 6)*(65 - 65 - 10*r)).
-374*r**2
Expand ((5*k - 5*k**4 - 5*k)*(-4 + 10 + 0) + 3*k**4 - 3*k**4 - 2*k**4)*(-43 - 35 + 87 - 5*k).
160*k**5 - 288*k**4
Expand (9 - 43 - 13)*((0 + 0 + 2*o)*(o + 3*o - 2*o) + 3*o**2 + o**2 + 2*o**2).
-470*o**2
Expand (553 + 126 + 363)*(1 + 4*n**3 + n - 5*n**3 + n).
-1042*n**3 + 2084*n + 1042
Expand (-4 + s + 4)*(4 + 0 - 2) + (-s + 0*s + 0*s)*(5 + 6 + 0 - 4 + 5 - 2 + (-1 - 1 + 3)*(3 - 1 - 1))*(23 - 10 - 7).
-64*s
Expand (-63 + 63 - 2*m)*(10*m**2 - 54*m**2 + 28*m**2 + 0 + 0 - m**2 + (2*m + m - 5*m)*(-2*m + 3 - 3) - 3 + 2*m**2 + 3) + m**2 - m**2 - 2*m**3.
20*m**3
Expand (5 - 22 - 5)*(0 + 2 - 14)*(2*q + 5*q + 0*q + (q + 0*q - 3*q)*(1 + 1 - 4)).
2904*q
Expand -14*w**2 - 120*w**2 - 44*w**2 + (1 + 1 - 4)*(-3 + 3 - 2*w**2) - 14 - 9*w**2 + 14.
-183*w**2
Expand (-286987 + 286987 - 202*m)*(0*m - 3*m - 3*m)*(4*m + 0*m - 5*m)*(-4*m + 2*m + 4*m).
-2424*m**4
Expand (-1 + b + 1)*(-139*b + 31*b - 33*b - 163*b + (-6 + 3 + 1)*(-b - 2 + 2) - 2 + 2 - b - 3*b + 0*b + 0*b).
-306*b**2
Expand (-j - j + 0*j)*(60 + 4899*j + 9465*j - 60 - 1940*j).
-24848*j**2
Expand (-w - w + w)*(-729 + 101 - 63 + 3 + 1 - 3 + (1 + 4 - 3)*(1 + 3 - 2) + 4 - 4 + 2).
684*w
Expand (78*w - 38*w + 229*w)*(-3 + 4 - 6)*(w**2 - 2*w**2 - w**2).
2690*w**3
Expand 80*b**2 - 18*b**3 - 80*b**2 - 4*b + 4*b + 2*b**3 + (3 - 3 + 2*b**2)*(3*b + 3*b + 0*b).
-4*b**3
Expand 52 + 30*x**5 - 52 + (-4*x + x + 2*x)*(-13498*x + 31*x**4 + 13498*x).
-x**5
Expand (-3*d**2 - 3*d**2 + 3*d**2 + (4*d + 2*d - 4*d)*(-2*d - d + d) + 1 + d**2 - 1)*(0 - 2*d**2 + 0) + 6*d**4 + 104*d**4 + 99*d**4.
221*d**4
Expand (-7*y - y**2 - 318 + 318)*(y + 0 + 0).
-y**3 - 7*y**2
Expand (-333 + 9 - 44)*(-2 + 2 - z)*(-1 + z - 2 - 1).
368*z**2 - 1472*z
Expand (0 + g + 0 + (-6 + 1 + 3)*(g + 3*g - 3*g))*(3 + g**2 - 3 + (-3*g + 4*g - 2*g)*(-2 - g + 2))*(1016 + 84*g - 1016).
-168*g**4
Expand (7 - 3 - 1)*(0 - 2*p**2 + 0) + (-317*p - 85*p + 27*p)*(7*p - p - 4*p).
-756*p**2
Expand (3 - 7 + 3)*(-444 + 173 + 136)*(-3 + 4 + 1)*(0*y - 2*y + 3*y).
270*y
Expand (-4*t + 2*t + 0*t)*(t**4 - 5*t**4 + 3*t**4) + 2*t**5 - 20*t**5 - 2*t**5 + (-t**4 + 2*t**4 + 0*t**4)*(-6*t - 665 + 665).
-24*t**5
Expand -7744*p - p**2 + 7744*p + 24 + (-p + 4*p - p)*(2*p + p - 2*p).
p**2 + 24
Expand (-2 + 0 + 4)*(400 - 216 - 249)*(-q + q**2 + q).
-130*q**2
Expand (10611 - 4038 - 4448)*(0*m + 0*m - 2*m + (1 + 1 + 0)*(2*m + 2*m - 2*m) + 2*m - m - 2*m - 4*m - m + 6*m).
4250*m
Expand -10*v**4 + 45*v**4 + 6*v - 6*v + (-7*v**3 + 172 - 172)*(3*v - 4*v + 2*v).
28*v**4
Expand (-4 + 1 + 4)*(33 + 12 - 10)*(32*x + 68*x - 5*x).
3325*x
Expand (3*n + n**3 - 3*n)*(4*n**2 + 0 + 0) - 2*n**2 - 2*n**5 + 2*n**2 - 7*n + 20 - 2*n**5 + 19*n**5 - 22.
19*n**5 - 7*n - 2
Expand (-6*t + 2*t + 138 + 2*t)*(-3*t + 3*t + 2*t)*(-5*t - t + 5*t)*(4*t**2 - 4*t**2 + t**2).
4*t**5 - 276*t**4
Expand (-12 - 7*l + 12)*(452*l + 358 - 123 - 119 - 116).
-3164*l**2
Expand (0 + 4 - 2)*(2*a**4 - a**4 + 0*a**4) - 946*a**4 + 121137*a - 121137*a.
-944*a**4
Expand 5*k**3 - 5*k**3 + k**3 + (2 - 3 - 1)*(2*k**3 - k + k) + (4*k**3 + k**3 + k**3)*(-3 - 2 + 3) - 8*k**3 - 6*k**3 - 16*k**3.
-45*k**3
Expand 3*x + 3*x - 4*x + (-155 + 91 - 192)*(-12*x - 2*x + 0*x + (x - 2*x + 2*x)*(1 - 3 + 1)).
3842*x
Expand (7*y - 2*y - 3*y)*(212*y - 196*y - 8*y - 396*y**2).
-792*y**3 + 16*y**2
Expand (6*u - 3*u + 5*u)*(2 - 2 - 2) - 5*u - u + 3*u + (-3 + 1 + 3)*(u + 2*u - u).
-17*u
Expand (-h + 3 - 3)*((5 - 3 - 4)*(2 - 3 + 15) + (21 - 2 + 22)*(5 - 5 + 1) + 1 + 2 - 4).
-12*h
Expand (-7*g**2 + g**2 - 3*g**2)*(-31549 - 1827*g**3 + 31549).
16443*g**5
Expand 0*w**2 + 3*w**2 - 2*w**2 + 3*w - 3*w + 3*w**2 + 4*w**2 - 36*w + 36*w + (-w + 4*w - w)*(w - w - 2*w) + 4*w**2 - 6*w**2 + 3*w**2.
5*w**2
Expand (-2*p + 2*p + p**3)*(-3*p - 7*p + 9*p) + 3*p**3 - 3*p**3 - p**4 - 14*p**4 + 45*p**4 + 32*p**4.
61*p**4
Expand -3*c**4 - c**4 - c**3 + 2*c**4 + (1 + 2*c**3 - 1)*(0 - c + 0) + 0*c**4 - 38*c**4 - 2*c**4 + (2*c**2 + c**2 - 2*c**2)*(4*c**2 - 3*c**2 - 3*c**2).
-46*c**4 - c**3
Expand 0*l + 0*l + l + (0 + 0 - 2)*(-2*l + 2*l - l) - 3*l + 2*l + 3*l - 5*l - 12169 + 10*l - 12*l + 12306.
-2*l + 137
Expand (10*g**2 + g**2 + 2*g**2)*(-290*g + 48*g - 64*g).
-3978*g**3
Expand 5*g**3 - 6*g**3 + 5*g**3 + (1 + 4 - 4)*(0*g + 0*g + 2*g**3) - 101*g**3 + 102*g**3 - 172*g**2 - 13316*g + 172*g**2.
7*g**3 - 13316*g
Expand 4 + 11*f**3 + 2119*f**4 - 4230*f**4 + 2108*f**4 - f + f**4 + 3*f - 3*f + 2*f**3 - f**4 - 2*f**3 + (2 - 2*f - 2)*(2*f**3 - 3 + 3).
-7*f**4 + 11*f**3 - f + 4
Expand (-2*b + 2*b + 2*b)*(-2*b + 0*b + b + (-110 - 65 + 42)*(5*b + 15 - 15) + 2*b - 4*b + 3*b).
-1330*b**2
Expand (-3*i + 0*i - 3 - 3*i)*(25 - 3 + i - 4) + 0*i**2 + 2*i**2 + 13*i**2.
9*i**2 - 111*i - 54
Expand (-2 + 2 + 5*h**2)*(-h - 2*h**2 + h) + (30*h - 22*h + 1 - 13*h)*(69*h + 23 - 23)*(-3*h**2 - h**2 + 2*h**2).
680*h**4 - 138*h**3
Expand (-4*p + 0*p + 6*p)*(0 - 2 + 13) + 3 + 16*p - 3.
38*p
Expand (0*l**2 + l**4 + 0*l**2)*(-2*l - l + 4*l) + (-13*l**4 - 13*l**4 + 3*l**4)*(-l - l + 3*l) - 138 + 138 + 89*l**5.
67*l**5
Expand (-2*u**2 + 2*u**2 - u**3)*(-2*u**2 + 3*u**2 + u**2) + (0*u*
|
{
"pile_set_name": "DM Mathematics"
}
|
t replacement from taatatttaqna.
5/264
Calculate prob of sequence wwo when three letters picked without replacement from {o: 3, w: 4, h: 6}.
3/143
What is prob of sequence twfp when four letters picked without replacement from tufplwwl?
1/840
Three letters picked without replacement from {j: 1, s: 4, u: 1, g: 1, n: 1}. What is prob of sequence ugn?
1/336
What is prob of sequence wawv when four letters picked without replacement from {u: 1, v: 3, e: 5, a: 1, w: 3}?
3/2860
Three letters picked without replacement from jhzhhhhhjhzhh. Give prob of sequence jhj.
3/286
Two letters picked without replacement from {t: 4, g: 2, p: 1}. What is prob of sequence tp?
2/21
Calculate prob of sequence gugj when four letters picked without replacement from {g: 3, j: 1, u: 1}.
1/20
What is prob of sequence au when two letters picked without replacement from {x: 1, e: 1, a: 3, h: 3, w: 2, u: 8}?
4/51
Three letters picked without replacement from bqqqqqqb. Give prob of sequence bqq.
5/28
Two letters picked without replacement from suuwwlluu. What is prob of sequence sw?
1/36
Calculate prob of sequence ll when two letters picked without replacement from {l: 2, j: 8}.
1/45
What is prob of sequence yy when two letters picked without replacement from {y: 4, w: 2, u: 1, i: 3, z: 1}?
6/55
Two letters picked without replacement from {x: 2, u: 2, g: 1}. What is prob of sequence xu?
1/5
What is prob of sequence cddc when four letters picked without replacement from {d: 9, c: 11}?
22/323
Two letters picked without replacement from dddddddrdrdddddddd. What is prob of sequence dr?
16/153
Calculate prob of sequence daul when four letters picked without replacement from {l: 1, a: 2, d: 1, u: 1, m: 2, g: 1}.
1/840
Two letters picked without replacement from {d: 4, v: 6, f: 3}. Give prob of sequence vv.
5/26
Three letters picked without replacement from {n: 2, o: 1, p: 1, q: 4}. What is prob of sequence qnq?
1/14
Four letters picked without replacement from {v: 1, f: 1, p: 2, c: 3, e: 3}. Give prob of sequence eppv.
1/840
Three letters picked without replacement from pztzttpcnpp. Give prob of sequence znt.
1/165
Calculate prob of sequence sgv when three letters picked without replacement from agaaaaasaaaagvsg.
1/560
Calculate prob of sequence shms when four letters picked without replacement from {h: 5, s: 2, v: 2, p: 1, e: 2, m: 1}.
1/1716
Calculate prob of sequence ott when three letters picked without replacement from {v: 9, o: 2, t: 8}.
56/2907
Three letters picked without replacement from {o: 1, e: 2, t: 1, y: 1, q: 1, b: 1}. Give prob of sequence teq.
1/105
Four letters picked without replacement from sztotsttssostos. What is prob of sequence tozt?
1/546
Two letters picked without replacement from abldv. Give prob of sequence lv.
1/20
Calculate prob of sequence kn when two letters picked without replacement from {b: 2, t: 1, n: 1, d: 1, k: 2, m: 1}.
1/28
Three letters picked without replacement from {y: 4, q: 3}. What is prob of sequence yqy?
6/35
Three letters picked without replacement from {d: 10, n: 10}. What is prob of sequence ndd?
5/38
Calculate prob of sequence xkx when three letters picked without replacement from {k: 3, x: 15}.
35/272
Four letters picked without replacement from fffffefeeeffff. Give prob of sequence ffef.
120/1001
What is prob of sequence oo when two letters picked without replacement from {c: 8, o: 2}?
1/45
Calculate prob of sequence qb when two letters picked without replacement from {b: 2, x: 1, i: 4, r: 7, q: 3}.
3/136
Two letters picked without replacement from kkkkkkkkkk. What is prob of sequence kk?
1
Three letters picked without replacement from zenne. What is prob of sequence znn?
1/30
What is prob of sequence duj when three letters picked without replacement from dejjdvudje?
1/80
Calculate prob of sequence eeev when four letters picked without replacement from vneeevvnove.
2/165
What is prob of sequence zm when two letters picked without replacement from {f: 2, n: 2, m: 2, z: 1, s: 5, v: 1}?
1/78
Calculate prob of sequence ry when two letters picked without replacement from {r: 5, c: 6, h: 6, y: 1}.
5/306
Three letters picked without replacement from avvvgagawy. What is prob of sequence ayw?
1/240
Four letters picked without replacement from {u: 1, b: 1, j: 1, m: 1, x: 1}. What is prob of sequence muxj?
1/120
Two letters picked without replacement from qqqqqqq. What is prob of sequence qq?
1
Two letters picked without replacement from grptotjg. What is prob of sequence gr?
1/28
Three letters picked without replacement from {p: 10, z: 1, e: 3, k: 1, t: 4}. What is prob of sequence pez?
5/969
Calculate prob of sequence qnii when four letters picked without replacement from inizqqiqziii.
1/132
Three letters picked without replacement from {f: 2, t: 1, x: 1, c: 1, u: 1, p: 1}. What is prob of sequence fft?
1/105
What is prob of sequence sh when two letters picked without replacement from {h: 4, s: 16}?
16/95
What is prob of sequence bwh when three letters picked without replacement from {h: 2, b: 3, w: 2, v: 3, c: 3}?
1/143
Three letters picked without replacement from {r: 8, g: 5}. What is prob of sequence rrr?
28/143
Calculate prob of sequence kb when two letters picked without replacement from wkkrbfbkbbkd.
4/33
What is prob of sequence ncm when three letters picked without replacement from {f: 1, x: 1, m: 4, n: 2, c: 11}?
44/2907
Calculate prob of sequence wr when two letters picked without replacement from {z: 12, w: 1, r: 3}.
1/80
What is prob of sequence bbbb when four letters picked without replacement from bbbbbbbbbb?
1
Three letters picked without replacement from vddbdbydbbybv. Give prob of sequence vyb.
5/429
Calculate prob of sequence ugni when four letters picked without replacement from iguunzuwgiigig.
2/1001
Calculate prob of sequence nni when three letters picked without replacement from inin.
1/6
Four letters picked without replacement from {l: 4, x: 2, t: 4}. What is prob of sequence tlxl?
2/105
What is prob of sequence ldl when three letters picked without replacement from lllvdlldvlld?
21/220
Calculate prob of sequence ff when two letters picked without replacement from {g: 4, f: 3, m: 5}.
1/22
Two letters picked without replacement from ggkoggoook. Give prob of sequence og.
8/45
Two letters picked without replacement from ffofbbfwqqqnfqw. What is prob of sequence qo?
2/105
Four letters picked without replacement from {y: 13, f: 5}. Give prob of sequence ffyy.
13/306
Three letters picked without replacement from {u: 5, m: 2, i: 1, p: 1, j: 3}. What is prob of sequence puj?
1/88
Calculate prob of sequence hg when two letters picked without replacement from wwehwgghgeeeeeh.
3/70
Four letters picked without replacement from {k: 2, v: 3, m: 10, b: 1, u: 1}. Give prob of sequence mbmu.
3/1904
Four letters picked without replacement from fwfffaaffffffw. What is prob of sequence ffww?
15/2002
Calculate prob of sequence guu when three letters picked without replacement from {h: 6, g: 1, y: 2, i: 1, u: 2, k: 8}.
1/3420
Calculate prob of sequence gnmm when four letters picked without replacement from {v: 1, a: 1, z: 3, m: 3, g: 3, n: 2}.
3/1430
Two letters picked without replacement from jxxjgghgghhxg. Give prob of sequence xj.
1/26
Three letters picked without replacement from {h: 2, v: 8, b: 3, t: 3}. What is prob of sequence hvb?
1/70
Calculate prob of sequence lll when three letters picked without replacement from {l: 11, m: 2}.
15/26
Calculate prob of sequence tp when two letters picked without replacement from {p: 2, v: 6, l: 2, t: 5, i: 1, e: 1}.
5/136
Three letters picked without replacement from {d: 1, j: 3, r: 5}. Give prob of sequence rdr.
5/126
Two letters picked without replacement from zizitiitd. What is prob of sequence di?
1/18
What is prob of sequence kkkb when four letters picked without replacement from {j: 2, v: 1, c: 5, k: 7, b: 3}?
7/816
Two letters picked without replacement from {o: 3, s: 2}. What is prob of sequence ss?
1/10
Calculate prob of sequence goq when three letters picked without replacement from qooqqoqqqqoqqooogqqq.
7/570
What is prob of sequence uuuu when four letters picked without replacement from {u: 10}?
1
Calculate prob of sequence wx when two letters picked without replacement from
|
{
"pile_set_name": "DM Mathematics"
}
|
-13*x**5/30 + 23*x**2 + x. Determine y(g(n)).
-104*n**2
Let i(f) = -17*f**2. Let l(x) = -6*x + 5. Let g(w) = -6*w + 17. Let j(c) = 3*c - 9. Let n(v) = -6*g(v) - 11*j(v). Let m(q) = 3*l(q) + 5*n(q). Give m(i(p)).
51*p**2
Let y(c) = 7*c**2 - 5*c + 5. Let m(l) = -4*l**2 + 3*l - 3. Suppose -19 = -5*i + 6. Let s(v) = i*m(v) + 3*y(v). Let j(d) = 9*d**2. Give s(j(a)).
81*a**4
Let p(i) = 112*i**2 - i. Let g(v) = -2169*v. Give g(p(u)).
-242928*u**2 + 2169*u
Let z(k) = 19*k**2 + 15. Let m(l) be the second derivative of l**3/3 - 4*l - 21. Calculate m(z(f)).
38*f**2 + 30
Let d(x) = -11 + 9*x**2 + 11 - 2*x + 2*x. Let g(q) be the second derivative of -q**4/12 + 3*q. Give g(d(y)).
-81*y**4
Let l(j) = 6*j. Let q(k) = -24*k**2 + 9*k**2 + 4*k**2 - 30*k + 30*k. Determine l(q(d)).
-66*d**2
Let f(m) = 26*m. Let p(v) be the second derivative of -v**7/2520 - v**4/12 + 10*v. Let y(z) be the third derivative of p(z). What is y(f(a))?
-676*a**2
Let t(z) = 54*z. Let o(r) = -398*r + 3. Calculate o(t(p)).
-21492*p + 3
Let c(f) = 2*f + 82*f**2 + 91*f**2 + 70*f**2 - 3*f - 262*f**2. Let d(m) = 2*m. Calculate c(d(z)).
-76*z**2 - 2*z
Let i(m) = -5*m. Let x(p) = 2*p. Suppose 3*j + 8 + 16 = 0. Let h(f) = j*x(f) - 3*i(f). Let q(z) = -6*z**2. Calculate q(h(t)).
-6*t**2
Let s(f) = 33680*f**2. Let r(w) = -41*w**2. Calculate r(s(k)).
-46508038400*k**4
Let l = -2163 - -2175. Let s(o) be the second derivative of 0*o**3 - l*o + 0*o**2 - 11/12*o**4 + 0. Let b(j) = -j**2. Calculate b(s(w)).
-121*w**4
Let r(w) = -27*w. Let q(x) = -14460*x. What is q(r(f))?
390420*f
Let u(x) = -16*x**2. Let s(y) be the third derivative of y**5/30 + 36*y**2. Determine s(u(v)).
512*v**4
Let t(b) = -5*b**2 + 0 + 5 - 6*b**2. Let n(u) be the first derivative of 2*u**3 - 3*u - 50. Let d(j) = 5*n(j) + 3*t(j). Let w(s) = 6*s**2. Calculate d(w(k)).
-108*k**4
Let p(y) = 136*y. Let m(l) = -391 + 391 - 2*l**2. Calculate p(m(t)).
-272*t**2
Let a(q) = q**2. Let c(i) = 6*i. Let l(h) = 25*h. Let b(r) = -r**2 - 3*r - 16. Let w be b(-5). Let o(s) = w*c(s) + 6*l(s). Calculate a(o(x)).
36*x**2
Let r(l) = -l. Let h(o) = 7*o - 36822. Determine h(r(c)).
-7*c - 36822
Let n(p) = 5*p. Let q(o) = 4*o + 1619. Calculate q(n(c)).
20*c + 1619
Let x(p) be the third derivative of 1/6*p**4 - 10*p**2 + 0*p**3 + 0 + 0*p. Let f(t) = -2 + 2*t**2 + 2. Give f(x(j)).
32*j**2
Let g = -395 + 1189/3. Let u(a) be the first derivative of 0*a**2 + 0*a + g*a**3 + 5. Let c(r) = r**2. Determine c(u(q)).
16*q**4
Let y(l) be the third derivative of -l**4/12 + 17*l**2. Let j(r) = -37*r**2 - 2*r. What is y(j(p))?
74*p**2 + 4*p
Let o(z) = -2*z**2 + 14151. Let k(a) = a. Give k(o(d)).
-2*d**2 + 14151
Let h(o) = 2*o**2. Let b(x) be the first derivative of 292*x**2 - 95. Give h(b(y)).
682112*y**2
Let k(p) = 6*p**2. Suppose 7*i - 6*i + 6*i = 0. Let j(x) = -3*x + 4*x + i + 0. What is j(k(s))?
6*s**2
Let l(a) = 6*a + a - 11*a - a - 9*a. Let n(u) = -20*u**2. What is l(n(f))?
280*f**2
Let t(w) = -23*w. Let h(p) be the first derivative of -1/2*p**2 - 22 + 0*p. What is h(t(i))?
23*i
Let w(f) = 36032*f. Let i(j) = 2*j. Determine w(i(n)).
72064*n
Let y(x) = 2*x. Let n be (-3 - -4)/((-5)/(-10)). Let z(c) = 11 - 11 + 18*c**n. Calculate z(y(p)).
72*p**2
Let b(o) = -2*o. Let f(r) = -15*r**2 - 6. Let x(w) = 16*w**2 + 4. Let c(k) = 4*f(k) + 3*x(k). What is c(b(m))?
-48*m**2 - 12
Let t(a) = a**2. Let f(h) = -91656*h + 15. Calculate f(t(m)).
-91656*m**2 + 15
Let o(u) = -11 - u + 16 - 5. Let s(m) = m**2 + 92. Give o(s(h)).
-h**2 - 92
Let l(g) be the third derivative of -13*g**5/60 + g**2. Let w(p) be the third derivative of p**4/8 - 2*p**2 - 5*p. Calculate w(l(v)).
-39*v**2
Let v(s) = s. Suppose q + 0 = 2. Suppose 1 = z - q. Let a(u) = -1 - z + 3*u + 4. Give v(a(h)).
3*h
Let f(p) = 17*p**2 + p - p. Let d(h) be the first derivative of 2*h**3/3 - 1473. Determine d(f(u)).
578*u**4
Let r(n) be the first derivative of 0*n + 1 + 7/2*n**2. Let t(g) = 3*g + 10. Let y(s) = -14*s - 45. Let c(w) = -9*t(w) - 2*y(w). What is r(c(u))?
7*u
Suppose -26*y + 23*y = -21. Let t(v) = -y*v - 5*v + 14*v. Let n(d) be the first derivative of -2*d**3/3 - 1. What is n(t(r))?
-8*r**2
Let j(k) = -7*k**2. Let t(g) = 110059*g. What is t(j(c))?
-770413*c**2
Let z(r) = 17*r**2. Let a(q) = -4350*q + 8741*q - 4367*q. What is z(a(t))?
9792*t**2
Let q = -44 - -46. Let k(g) = 3*g**2 + 3*g**2 - 14*g**2 + 7*g**q. Let d(u) = -3*u. Give k(d(w)).
-9*w**2
Let c(o) be the first derivative of o**4 + 7*o - 6. Let r(u) be the first derivative of c(u). Let b(k) = k**2. Calculate r(b(g)).
12*g**4
Let q(b) = -1690*b. Let y(u) = 19*u**2. Give y(q(x)).
54265900*x**2
Let x(b) = 13*b**2. Let s(w) = -41*w**2 - 7*w + 7. Let f(y) = -12*y**2 - 2*y + 2. Let m(u) = -7*f(u) + 2*s(u). What is m(x(q))?
338*q**4
Let m(t) = -52*t. Let n(b) = -61155*b. Determine n(m(l)).
3180060*l
Let k(t) = t**2. Let n(h) = 19 + 7*h + 13 + 9*h - 25. Determine n(k(u)).
16*u**2 + 7
Let w(q) = 10*q - 6*q - 8*q. Let h(b) be the first derivative of -b**2/2 - 4. What is h(w(o))?
4*o
Let o(a) = 2. Let m(n) = -17*n**2 + 7*n**2 + 9 + 9*n**2. Let l(f) = 2*m(f) - 9*o(f). Let g(b) = -10*b. Determine l(g(c)).
-200*c**2
Let v(h) = -5*h + 45. Let p(m) = 108*m. Let u(a) = 195*a. Let c(w) = -9*p(w) + 5*u(w). What is v(c(n))?
-15*n + 45
Let q(p) = 2*p - 75. Let k(s) = -77*s - 33. Let f(a) = -2*a - 1. Let h(l) = 33*f(l) - k(l). What is h(q(c))?
22*c - 825
Suppose -4*x - 4 = -5*x. Let b(n) = n - 1. Let k(y) = 7*y - 4. Let q(t) = x*b(t) - k(t). Let j(r) = 8*r. Determine j(q(o)).
-24*o
Let g(t) be the second derivative of -t**3/6 + t + 12. Let d(c) = -11*c - 1. What is g(d(h))?
11*h + 1
Let j(s) = -11*s. Let c(i) = -2225*i - 5. Determine j(c(r)).
24475*r + 55
Let i(o) = 7*o. Let t(n) = -58542*n**2. Calculate i(t(x)).
-409794*x**2
Let b(i) = -470620*i**2. Let a(h) = 2*h. Calculate a(b(j)).
-941240*j**2
Let z(j) = -2568*j. Let a(u) = -9*u. Give z(a(o)).
23112*o
Let h(x) = -2*x**2. Let j(o) = 3 + 0 + 2 + 6*o. Let r(m) = 6*m + 6. Let c(l) = 6*j(l) - 5*r(l). What is c(h(b))?
-12*b**2
Let u(n) = 2*n. Let z(g) be the third derivative of 0*g**4 + 0*g + 1/60*g**5 - 6*g**2 + 0 + 0*g**3. Calculate z(u(j)).
4*j**2
Let j(t) be the second derivative of -t**4/12 + 3*t - 6. Let w(p) = -177*p**2. What is j(w(u))?
-31329*u**4
Let f(y) = 2*y. Let l(d) = d - 4. Let v(w) = 15*w - 27. Let p(q) = -6*l(q) + v(q). Calculate f(p(m)).
18*m - 6
Let q(z) = z. Let a be (10/4)/((-14)/(-28)). Let k(x) = -a*x**2 - 3*x**2 + 7*x**2. Determine k(q(v)).
-v**2
Let x(g) = g**2 - 6*g**2 + g**2. Let u(p) = -3*p + 1. Let i(m) = -m**2 + 6*m - 2. Let l(t) = -i(t) - 2*u(t). What is x(l(a))?
-4*a**4
Let b(s) = -4*s**2. Let l(u) = -35*u**2 + 6. Let j(x) = -33*x**2 + 4. Let a(d) = -6*j(d) + 4*l(d). What is b(a(f))?
-13456*f**4
Let f(u) = 194280*u**2. Let b(l) = 7*l**2. What is b(f(w))?
264213028800*w**4
Let t(i) = 2*i. Let b(y) = 218*y**2 + 2*y - 22. What is t(b(u))?
436*u**2 + 4*u - 44
Let k(u) = -13917*u. Let q(a) = 18*a. Determine k(q(o)).
-250506*o
Let s(x) = -11*x**2. Let f(d) be the second derivative of 0 - 2*d + 1/6*d**3 + 0*d**2. Determine s(f(w)).
-11*w**2
Let p(f) = f**2 + 9*f - 15. Let q be p(-11). Let b(m) = -q*m + 3*m + 3*m + 0*m. Let a(r) = 7*r. Let v(o) = 3*o. Let z(h) = 4*a(h) - 10*v(h). Give b(z(j)).
2*j
Let l(q) = -q**2. Let p(a) = -7*a**2 + 72*a**2 + 62*a**2 - 4*a**2. Determine l(p(m)).
-15129*m**4
Let g(q) be the second derivative of -q**4/12 - q. Let o(b) be the third derivative of 0 + 1/6*b**4 + 0*b**3 - 15*b**2 + 0*b. Calculate g(o(n)).
-16*n**2
Let k(r) = 10*r**2. Let l(y) be the third derivative of y**6/90 - 19*y**3/6 + 25*y**2. Let j(q) be the first derivative of l(q). What is j(k(v))?
400*v**4
Let q(p) be the second derivative of -p**4/6 - p. Suppose -3*n + 23 = 2*n - 2*f, f + 19 = 4*n. Let b(t) = n*t**2 - t**2 + 9*t - 9*t. Calculate q(b(j)).
-32*j**4
Let v(j) be the first derivative of j**3 + 44. Let h(p) = -p**2. Let b = -4 - -9. Let a(k) = 2*k**2. Let d(m) = b*h(m) + 2*a(m). Give d(v(g)).
-9*g**4
Let l(o) = 11*o**2. Let p = 27 - 25. Suppose -12 = p*j + j, -10 = -2*u + 2*j. Let g(t) = -2 + u + 1 - 2*t**2. Calculate l(g(q)).
44*q**4
Suppose -2*b - 2*b = 12, -4*x + 2*b = -22. Let a(w) = 5*w**2 - 7*w**2 - 4*w**2 - x*w**2. Let m(h) be the first derivative of 2*h**3/3 - 2. Determine a(m(q)).
-40*q**4
Let
|
{
"pile_set_name": "DM Mathematics"
}
|
2/3
((-8)/(-434))/((-19)/((-266)/4))
2/31
What is 6*3/(-6)*-1?
3
Calculate ((80/(-8))/(-40))/((-1)/(-4)).
1
What is (-5)/(-22)*11/((-110)/(-8))?
2/11
4/((16/4)/(-4))
-4
What is the value of 3/(30/(-40)*5)?
-4/5
What is the value of (48/(-18))/(2/3)?
-4
Evaluate (-7)/(7/(-6))*(-42)/(-36).
7
What is ((-1)/(-3))/(5/15)?
1
Calculate (-14)/14*((-3)/4)/(-3).
-1/4
Calculate (-4)/80*-4*4.
4/5
What is (2/14)/(58/(-203))?
-1/2
2/6*3*-2
-2
((-7)/14)/((-1)/22)
11
What is the value of 0/(4/2)*10/(-20)?
0
What is the value of 9/6*-3*(-4)/117?
2/13
What is the value of ((15/(-10))/3*1)/2?
-1/4
((-6)/(-8))/(93/(-496))
-4
What is the value of (-3)/(-6)*-5*204/85?
-6
What is ((-16)/(-16))/(3/54*3)?
6
Calculate ((-890)/(-623))/((4/(-7))/(-2)).
5
What is the value of -6*((-60)/315)/(6/(-21))?
-4
What is the value of 140/12*(-18)/(-30)?
7
Evaluate ((-42)/6)/7*0.
0
Calculate 6/(-12)*(-4)/(-18).
-1/9
What is ((-5)/(105/(-7)))/(21/(-54))?
-6/7
((-2)/(-20))/((-7)/((-315)/9))
1/2
What is 110/(-88)*4/(-30)*2?
1/3
Calculate (4/(-24)*3)/(1/1).
-1/2
What is (-8)/26*143/(-22)?
2
What is the value of ((-3)/((-18)/(-2)))/(24/(-48))?
2/3
What is the value of ((-33)/12)/(-11)*4*3?
3
(-4)/(-18)*3*(-39)/104
-1/4
(192/16)/(6/4)
8
((-5)/10)/((-1)/(-10))
-5
6/63*45/15
2/7
Evaluate 108/(-36)*1/(-1).
3
What is the value of (((-84)/15)/14)/(2/30)?
-6
Calculate 8*((-3)/(-6))/1.
4
Evaluate (-5)/((-3)/(6/5)).
2
What is 91/(-78)*9/(-21)?
1/2
Evaluate (-7)/(63/12)*(-3)/10.
2/5
Calculate (20/12)/(9/((-594)/(-715))).
2/13
What is -3*8/(-42)*10/(-20)?
-2/7
What is the value of 12/4*3/((-3)/(-1))?
3
(144/(-120))/((-6)/20)
4
Calculate (-8)/(-12)*12/(-8).
-1
What is (-4)/(-6)*75/(-25)?
-2
Evaluate (1*2)/(114/19).
1/3
What is the value of -3*(-1)/3*3/3?
1
What is the value of ((-165)/(-330))/((-1)/(-2)*1)?
1
What is the value of (((-1)/((-8)/(-4)))/2)/(-1)?
1/4
(3/(-2))/((-12)/(-16))
-2
8/130*(-35)/(-14)
2/13
What is 102/(-68)*4/9?
-2/3
((-8)/16)/((-1)/6)
3
24/(-15)*(-65)/52
2
What is the value of (-4)/(-4)*(-3*4)/(-3)?
4
What is the value of 18/(-135)*5*6/(-4)?
1
What is (1/(-21))/(3/18*-1)?
2/7
Evaluate (1/7)/((-2)/2).
-1/7
Calculate (36/40)/9*10/8.
1/8
Evaluate ((-4)/32*-6)/((-51)/(-476)).
7
Calculate 513/(-114)*(-3)/((-9)/(-2)).
3
(-9)/36*(-2)/(-11)*-4
2/11
Evaluate (-24)/(-14)*10/40.
3/7
-8*18/(-48)*(-35)/(-15)
7
5/(-2)*1320/3850
-6/7
Evaluate (-6*4/6)/(-2*13).
2/13
What is ((-12)/(-21))/(450/63)*1?
2/25
What is the value of 2/3*(-195)/(-26)?
5
Evaluate (-12)/(-4)*(-7)/7.
-3
What is (-105)/9*(-33)/55?
7
1*((-3)/9)/((-6)/(-18))
-1
Evaluate -4*1*((-56)/7)/(-56).
-4/7
What is the value of ((-4)/16*1)/(1/(-2))?
1/2
Evaluate (4/4)/((-1)/1).
-1
Calculate (21/(-154))/(3/4).
-2/11
What is the value of (-5)/(-1)*4/(-70)?
-2/7
What is (1/(-15)*3)/(1/(-15))?
3
What is the value of ((-3)/(-4))/((-45)/(-24))?
2/5
What is ((-5)/(-3))/((-4)/36*3)?
-5
What is (-2)/(-6)*(-5)/(5/(-6))?
2
Evaluate 2/1*3/2.
3
(-9)/(-6)*120/(-45)
-4
((-1)/1*-1)/((-32)/40)
-5/4
Calculate (-1)/(-3)*9/(-6)*0.
0
What is the value of (2/(-8))/((-7)/84*-12)?
-1/4
What is (68/(-306))/((-2)/(-3))*-1?
1/3
Evaluate 2*1*(-2)/44.
-1/11
What is (2/(-39))/((-20)/60)?
2/13
What is ((-16)/(-56))/(-4*2/(-14))?
1/2
What is (3/(-10))/((-10)/(-50))?
-3/2
(-38)/76*0/2
0
1/(-10)*(-138)/23
3/5
(-18)/6*1*(-1)/(-15)
-1/5
(-2*3/18)/((-3)/(-18))
-2
What is ((-1)/3)/((8/9)/8)?
-3
What is (-1)/1*-1*12/12?
1
Calculate (-1*(-16)/84)/(30/45).
2/7
What is ((-85)/119)/(((-8)/(-7))/(-4))?
5/2
What is 2*2/10*-5?
-2
Evaluate (-6)/24*90/5.
-9/2
What is 1/(4/6)*(-18)/(-63)?
3/7
Calculate (-3)/(-15)*20/42.
2/21
What is (12/18)/((-8)/6)?
-1/2
2/(-4)*16/44
-2/11
Calculate (-1)/((-10)/160*2).
8
What is ((-54)/(-45))/(16/(-10))?
-3/4
(-27)/(-90)*10/1
3
Calculate 470/(-188)*(2/5)/(-2).
1/2
What is 0/(-2*(-4)/8)?
0
What is ((6/(-3))/(-4))/(-4)?
-1/8
What is the value of 7*16/168*-3*-1?
2
What is (8/(-7))/((-2)/(-1))?
-4/7
Evaluate -1*-8*3/18*3.
4
What is the value of 7/(-1)*(-8)/8?
7
What is the value of 30/(70/(-7))*(-2)/(-3)?
-2
What is (10/70)/((-40)/28)*-6?
3/5
Evaluate ((-7)/63)/(2/(-12)).
2/3
Calculate 15*((-21)/(-9))/7.
5
Evaluate (4/3)/(228/1026).
6
(4/((-40)/6))/((-19)/95)
3
Evaluate 18/(-15)*(-90)/(-81).
-4/3
What is the value of (-1)/(-7)*3/((-6)/2)?
-1/7
What is 0*(6/(-42))/(4/14)?
0
What is the value of 750/525*14/5?
4
Calculate (-3)/(((-184)/16)/23).
6
Calculate ((-1)/2)/((-30)/(-20)).
-1/3
What is the value of 3/21*-2*(-92)/46?
4/7
What is the value of ((-6)/(-9))/2*39/13?
1
What is (6/2)/(81/(-54))?
-2
Evaluate 13/78*(-9)/2.
-3/4
What is the value of 2/2*(-4)/(-8)*-10?
-5
What is ((100/(-3))/10)/((-4)/(-6))?
-5
What is (-4)/(((-12)/10)/((-6)/(-4)))?
5
Calculate ((40/(-15))/2)/((-4)/3).
1
Calculate 1/(20/(-18)*12/10).
-3/4
What is the value of ((-108)/15)/(-6)*(-15)/6?
-3
What is (-56)/98*(-7)/10?
2/5
What is the value of 344/86*(-4)/(-2)?
8
(2*-36)/(-9)*(-4)/16
-2
Calculate (-4)/18*(-252)/112.
1/2
Calculate ((-6)/(-54)*-3)/((-3)/(-81)).
-9
(1/(-1))/(1/(-1))
1
Evaluate (76/(-1710))/((-6)/27).
1/5
4/2*3/6
1
Evaluate (-12)/18*(-18)/(-4).
-3
What is ((-52)/90)/(-13)*5?
2/9
Calculate 3*(99/81)/(-11).
-1/3
What is the value of (((-162)/(-3))/(-9))/1?
-6
Evaluate -6*12*(-2)/(-792).
-2/11
Evaluate ((-4)/(-7))/(44/14).
2/11
-6*(-5)/(45/(-6))
-4
Evaluate ((-20)/(-50))/(4/((-20)/(-7))).
2/7
What is ((-5)/(-10)*3)/(54/144)?
4
Calculate 10*(126/(-84))/(3*-1).
5
Calculate (2*(-15)/4)/((-12)/(-4)).
-5/2
What is the value of 42/(-126)*12/(-46)?
2/23
Calculate (3*-1)/(-3*9/9).
1
(-4)/(-6)*9/(-18)
-1/3
What is the value of (6/12*-8)/(2/2)?
-4
Evaluate (1/24*3)/(2/16).
1
What is 3/18*-3*(-14)/14?
1/2
Evaluate (6/(-3))/(60/10).
-1/3
5*(-68)/(-85)*3/(-6)
-2
Calculate (-14)/(-35)*(-20)/(-2).
4
What is ((-3)/7)/((-2)/(-8)*-6)?
2/7
Calculate (-14)/35*7/7.
-2/5
Calculate (3*1)/(-15*14/70).
-1
-2*(-4)/(-6)*30/(-40)
1
Calculate ((-10)/(-6))/((-4)/(-12)).
5
Calculate 90/(-480)*(-4)/(-2).
-3/8
6/9*(-3)/(-6)
1/3
What is 2/(8/4)*(-14)/14?
-1
Evaluate (2/(-5))/((-5)/(125/5)).
2
What is the value of (-4)/12*-15*12/135?
4/9
147/(-7)*12/(-42)
6
What is the value of 24/((-48)/(-6))*4/3?
4
Calculate 2/((30/10)/(-12)).
-8
-5*(-2)/(-35)*-1
2/7
Calculate -4*3/(-36)*(-6)/(-1).
2
What is the value of ((-1)/(-3))/((-10)/90)?
-3
Evaluate 18/(-15)*(-9)/(108/8).
4/5
Calculate ((-6)/2)/((-18)/24).
4
What is the value of (210/525)/((-3)/(30/8))?
-1/2
What is (-3)/(1/(-2)*33)?
2/11
(6/(-4))/(6*(-7)/112)
4
What is (6/(-5))/(4*3/40)?
-4
What is 21/84*(-8)/3?
-2/3
Calculate 8/(48/(-2))*(-1)/(-1).
-1/3
-1*1*105/(-525)
1/5
Calculate ((-1)/(-21))/((-144)/1296).
-3/7
Evaluate (18/(-24))/((-3)/2).
1/2
(-1)/(2*(-7)/(-28))
-2
What is (155/(-155))/((-2)/(-14)*1)?
-7
(4/(48/9))/(126/(-48))
-2/7
What is the value of (-2)/(-1)*3/27?
2/9
Calculate ((-17)/17)/((-2)/4).
2
Evaluate (5/(-12))/((-8)/16).
5/6
What is the value of ((-1)/4)/((21/28)/(-3))?
1
Calculate (0/(-2*1/2))/(-1).
0
(1/(-6))/((42/12)/7)
-1/3
What is the value of (40/60)/(8/3)?
1/4
What is (22/4)/(-11)*1*6?
-3
Calculate ((-12)/24)/(12/(-8)).
1/3
What is the value of ((-8)/28)/(99/77)?
-2/9
Calculate (20/(-14))/((-132)/(-924)).
-10
What is (-9*4/(-24))/(39/(-4))?
-2/13
Calculate (-1)/(-5)*40/(-24).
-1/3
(((-396)/(-27))/(-11))/((-52)/(-6))
-2/13
Evaluate 0/(-6)*3/(-6)*1.
0
Calculate ((-3)/(-4))/(462/4312).
7
What is the value of (-36)/(-6)*(-1)/4*2?
-3
What is the value of ((-78)/104)/((-3)/(-20))?
-5
Evaluate (10/(-35))/(6/(-84)).
4
What is 15/(-18)*(-11)/((-88)/(-48))?
5
Calculate 1/(((-2)/(-4))/1*-2).
-1
6/(-12)*28/2
-7
What is (8/6)/((-30)/(-180))?
8
Calculate ((63/30)/7)/((-2)/(-4)).
3/5
What is (8/(-12))/((-4)/(-30))?
-5
(-5*12/(-600))/((-2)/(-2))
1/10
What is (8/20)/(((-6)/(-6))/(-3))?
-6/5
What is the value of 1/(6/(-4)*(-36)/27)?
1/2
What is the value of 3/4*4/(-24)?
-1/8
What is the value of (-5)/9*3/(15/(-4))?
4/9
What is the value of ((-6)/(-108))/(6/18)?
1/6
10/(-60)*27/(-12)
3/8
Calculate (20/(-15)*3)/2.
-2
6*(-1)/(-1)*(-51)/(-153)
2
Calculate (-2*(-9)/(-24))/((-435)/232).
2/5
What is the value of (-12)/112*(-3)/(6/(-8))?
-3/7
What is the value of (1*3/(-1))/(105/(-20))?
4/7
Evaluate (2/(-5))/(13/(65/6)).
-1/3
(20/(-24))/((-180)/48)
2/9
Calculate 2/8*(64/(-12))/(-8).
1/6
Evaluate 14/4*3/(-14).
-3/4
Calculate -3*(45/36)/(-5).
3/4
What is ((-
|
{
"pile_set_name": "DM Mathematics"
}
|
5
Solve 44*t = -5*s + 278, 31*t - 64*t = -s - 38*t + 48 for s.
38
Solve -4*s + 49 = -3*p + 34, 3*p = 70*s - 11*s + 150 for p.
-9
Solve 106*m + 1272 = 4*i, -18 = 5*m - 3*i + 32 + 10 for m.
-12
Solve 6*j + 19*n = 16*n - 12, 7*j = 381*n - 375*n + 5 for j.
-1
Solve -4*x - 2*a + 8 = -5*x + 2*x + 4, 25*x + 84 = -4*a for x.
-4
Solve 451*x + 3*d + 5 = 453*x, 6 = 2*x + x - 6*d for x.
4
Solve -m + 7 = -t, 0 = 4*t + 1263*m - 1258*m - 8 for t.
-3
Solve 22 = 2*h - 4*z, -3*h + 37 - 70 = -z - 41 for h.
1
Solve -k + 2*k - 71*z = 6*k + 102, -2*k + 2*z + 20 = -4*k + 4*k for k.
8
Solve 4*j - 1797*k - 92 = -1771*k, -2*j - 5*k = 3*j + 35 for j.
-3
Solve 4*i + k = -44, 946 = -56*k + 946 for i.
-11
Solve 2*o + 88 = 6*o - 4*i, 0 = 4*o - 5*i - 1288 + 1178 for o.
0
Solve -111*y = -99*y + 3*j - 12, 5*y - 3*j = 22 for y.
2
Solve -960*b + 1911*b = -12*l + 954*b + 180, 0*l - 3*b - 173 = -5*l for l.
1
Solve 5155 - 5183 = -2*k, -4*k + 69 = 2*r - 5*r + 4 for r.
-3
Solve -4*x + 22 = -30 + 28, -4*r = 2*x - 12 for r.
0
Solve 4*z + 55 = 3*f, f - 5*z = 91580 - 91514 for f.
1
Solve 0 = -54*l - 270, 20 = -2*q - 1696847*l + 1696845*l for q.
-5
Solve -3*s + 1 = 4*t, -6398*s + 6400*s = -5*t - 4 for t.
-2
Solve 0 = 4*o - 20, 0*f + 7*o - 5*o + o - 57 = 4*f + 3*f for f.
-6
Solve 33 = -o - 49 + 51, 3*o - 12*o + 5*o - 169 = 9*j for j.
-5
Solve -x = -l - 11*l + 56, 63 = 46*l - 23*l - 20*l + 12*x for l.
5
Solve -k - 2*j + 40776 = 40694, -j = -4*k - 59 for k.
-4
Solve y = -3*g + 8, -4*g = -3*y - 2514 + 2551 for g.
-1
Solve 0 = 3*s + 29175*h - 29171*h + 9, -10*h - 3 = s for s.
-3
Solve -2*q + 5*l = 0, 99 + 24 = 28*q - l + 5*l - 25 for q.
5
Solve -5*w - 10*k = 55, 1751201*k - 84 + 35 = 2*w + 1751196*k for w.
-17
Solve 0 = x - 8*h + 28, 17*x + 4 = 3*h + 58 + 2 for x.
4
Solve 2*b + 3820 = -590*k - 312, -k = -b + 6 for k.
-7
Solve 3*z - 2*s = 32 + 4, 0*z + 44 = -2*z + 6*z - 4*s for z.
14
Solve -37 + 150 = -4*x - 91*k + 94*k, 0 = -7*k - 15 + 1 - 21 for x.
-32
Solve 5*z = b + 174, 4*z - 794*b + 795*b = 141 for z.
35
Solve -19*j - y - 28 = -93, 0 = -4*j + 2*j - 4*y + 38 for j.
3
Solve -2*o = 16965*f - 16969*f + 66, -191 = 5*o + 3*f for o.
-37
Solve 3*b - 4*v - 3261 = -3335, 0 = 7*b - 5*v + 151 for b.
-18
Solve 0*n + 2*o + 39 = 3*n, -78 = -6*n - o - 5*o for n.
13
Solve c - 3 = 0, 1894*h + 13 = 1890*h - c for h.
-4
Solve 3*j - 2260493 = -82*c - 2260484, 2*c - 6 = -2*j for j.
3
Solve -2*t = 0, 3*p + 130*t - 69*t - 60*t - 3 = 0 for p.
1
Solve 2*p - 6*p - 29*r + 184 = -73*r, 8*r = -28 - 4 for p.
2
Solve 5*n + 2*u = -18 - 52, 3*n = 45*u - 41*u + 88 for n.
-4
Solve -4*g - x + 153 = 0, 7*x - 85 - 95 = -5*g + 2*x for g.
39
Solve 3*b + 77 = -5*i + i - 0*i, 3*b - 224 = 14*i + 59 for b.
1
Solve 3*r + 2*h + 40 = 0, -2*r - 116028 + 115964 = 4*h for r.
-4
Solve -4*h = 3*p - 32, 6416*p = 6400*p - h - 53 for p.
-4
Solve -4*h + 10*u + 56 = -6*h, 347 = 2*h - 2*u + 343 for h.
-3
Solve 5*u + 89 = -3*k, 2*u + 5 = -6*k - 17 - 4 - 24 for k.
-3
Solve 1149*s - 1146*s - 2 - 34 = 0, -5*h - 7*s + 59 = 0 for h.
-5
Solve 3*j = -9*v + 33, 142*j + 5*v - 105 = 162*j for j.
-4
Solve 0 = 3*t - 6*t + 6*b + 69, -23*t + 107 = 6*t + 5*b - 7*b for t.
3
Solve 70*a = -3*t + 5 - 87, 3*t + 0*t + 10 = 2*a for t.
-4
Solve 160131*a = 160128*a - 5*q - 9, 11 = 4*a - q for a.
2
Solve -3*p + 101 = 4*d, -82*d = -85*d + 2*p + 16 - 72 for d.
2
Solve -17011 + 17040 = d + 5*n, -25*n + 280 = 20*d for d.
9
Solve 4*n = 25*v + 116, 4*n = -3354*v + 3350*v for n.
4
Solve -2873*l + 2869*l - 36 = -2*d, 0 = -3*l + 2*d - 33 for l.
-3
Solve -834*p + 7*n - 10*n - 43 = -838*p, 7*p - n = 54 for p.
7
Solve -q + 4 = -0*v - 0*v - 4*v, -5*v + 2554 = -3*q + 2566 for v.
0
Solve -5*w - 4*h + 8 = 0, 0 = -5*w - 415*h + 416*h - 2 for w.
0
Solve 7*s + 2*b - 10 = -13*s + 22*s + 18, 146*s + 5*b + 534 = 0 for s.
-4
Solve -2*i - 4 = 5*t, -795*t - 3*i = -798*t + 6 for t.
0
Solve 0 = -3*t - 3*i + 156, -218*t + 2537*i - 2532*i + 11113 = 0 for t.
51
Solve -3*g = -12*f + 45, -2*g + 4*f + 142 = 103 + 49 for g.
5
Solve -2*k - 4*l - 6 = 0, -339*k = 1064*l - 1068*l - 1029 for k.
3
Solve -3*a - 3*a = 3*h - 4*a - 35 - 9, -5*a + 2 = -18 for h.
12
Solve b - 5*f - 2 = 0, 483*b - 2*f + 116 = 488*b + 25 for b.
17
Solve 2*t = 33*b - 25, -2539*t + 2541*t + 2 - 13 = -3*b for b.
1
Solve 29 = -3*w + 2*a + 17, -3*w - 2*w - 910 - 749 = 449*a - 282 for w.
-6
Solve -12 = x - 5*x, -3*x + 830 = r + 3*r + 291*x for r.
-13
Solve -3*g - 5 - 7 = -3*p, -3*p - 321 = g - 317 for p.
0
Solve -5*m + 3*x - 73 = 0, -13*m - 4*x - 22 + 21 = 0 for m.
-5
Solve 0 = -p - 2*c - 71, -231*c = -34*p - 467*c + 237*c + 70 for p.
1
Solve 0 = 3*c + 12*q - 165, -2*c - 25*q = -24*q + 9 - 28 for c.
3
Solve 3*q - 60 = 3*h, -220117*h + 220120*h = q - 70 for h.
-25
Solve 49*p - 22*p - 28*p + 63 = 37*z, 0 = 4*z - 7*p + 323 + 118 for z.
0
Solve -2*f - 53*s = -59*s + 206, -360 = -5*f - 10*s for f.
2
Solve -9*n = 11*b - 14*n + 81, 12*b - 21 = 15*b - n for b.
-6
Solve 80 = -5*z - 2*h + 3*h, 4*z + 23*h - 10*h - 3248 = -23*h for z.
2
Solve -g = 39*f - 388, -5*f = -3*f - 0*f - g - 22 for f.
10
Solve -4*f - 11*g = 32, 5*g - 9*g + 8 = -8 for f.
-19
Solve g + 336 - 308 = -4*p, -3*p + 2*g - 14*g - 27 - 39 = 0 for p.
-6
Solve -4*f = -5*y + 249, -1382*f - 1387*f + 119 = -3*y - 2771*f for y.
1
Solve 3*m = -2873*y + 2878*y + 167, -3*y + 3*m - 99 = 0 for y.
-34
Solve -g + 2*v = -30, 84*g + v - 811 = 15*g + 40*g for g.
28
Solve 3*m + 3*u = -75, -216743*u + 216746*u = -5*m - 115 for m.
-20
Solve -5*x - 6*w + 9*w + 56 = 0, -5*x - 3*w = -470 + 396 for x.
13
Solve 2*g + 26 - 12 = -4*n, 585*g + 43 - 10 = 582*g for n.
2
Solve -4*q = -5*s + 240 - 40, 32 = -6*q - 5*s + 182 for q.
-5
Solve 6*w + 58 = -3*i + 10*w, -w + 2105 = 2*i - 119*i - 2*w for i.
-18
Solve 265 + 850 = -r - 32*v, -r = 3*v + 100 for r.
5
Solve -5474 = 899*y - 971*y - s, 3*y = s + 226 for y.
76
Solve -v + 3*k = -8*v - 73 + 68, 3*k - 7 = -10*v for v.
4
Solve 3*y - 260*g + 233 = -312*g, 2*y - g = 3*y - 4 for y.
9
Solve -2*l + 4 = -4*l, 8*l + 55 - 211 - 186 = 340*h + 9*l for h.
-1
Solve 5*c - 2*h = 11 + 24, -4*c + 10*h + 142 = -h - 2*h for c.
3
Solve 818*k + 105 = 5*v + 823*k, 0 = -3*v + 2*k + 83 for v.
25
Solve -514*a + 267*a = -5*v - 245*a - 40, -245 = -5*v - 17*a for v.
-2
Solve c - 3*c = 526*z - 525*z + 19, 0 = -c + 127*z + 2923 for c.
2
Solve 5*f + 7*v - 236 = 0, -51885 + 52012 = -5*f + 4*v for f.
1
Solve -10*c = 14835*k - 14841*k - 90, 0 = 2*c - 5*k - 56 for c.
3
Solve 4*g + 2*f - 19 = 55 - 48, -33*g - f - 22 = -314 for g.
9
Solve 5*y - 39 = 105*x - 103*x, 0*y + 3 = 2*y + x for y.
5
Solve 66*d - 70*d + 42 + 46 = 0, -64 = 4*f - 2*d for f.
-5
Solve 5*q - 13 = 4 - 67, -24 - 74 = -6*p + 8*q for p.
3
Solve 60*z - 5*v = 275, -5*z + 54*v - 118 = 172*v - 53*v - 58*v for z.
3
Solve -63 + 99 = 3*j, 3*j + 13 = -5*d + 24 for d.
-5
Solve -38 = -v - 16*o + 34 + 37, -13*o - 12 = -25*o + 9*o for v.
45
Solve -2*q + 2*n = 16 + 26, 4*q - 80 = -8*n + 64 for q.
-2
Solve 41*d - 3*v - 173 = 0, 9*d - v = 5*d - 3*v + 10 for d.
4
Solve 2*s + 63 - 58 = j, -4*s + 56*j - 58*j = 22 for s.
-4
Solve 3*x + 5*n + 58 = 0, -5*x + 0*x + 15*x - 3*n = -3*x - 276 for x.
-21
Solve 4*j - 109*m + 90*m + 12*m = -19, -17 = 2*j - 5*m for j.
4
Solve 162*x - 323*x - 3*c = -160*x - 2*c - 8, -x + 10*c + 8*c = 220 for x.
-4
Solve 6*r - 7*r + w = -1, -3*w - 63 = -350*r + 362*r for r.
-4
Solve b = 3*q - 12, -4*q - 1164 + 1180 = 180*b for q.
4
Solve -290178*y + 290186*y = -5*j - 75, -2*j - 5*y = -1 + 40 for j.
-7
Solve -5*d + 3*m - 14 = -m - 49, -17*d + m = -119 for d.
7
Solve 5*t = 22*a + 195, 75*t + 45 = 76*t - 5*a for t.
-5
Solve -7129 + 7121 = -2*r + 2*o, 7*r - 19 = -2*o for r.
3
Solve 2459*m + 29 = 2460*m + 3*p, -7*m + 33 = -13*p for m.
14
Solve -5*x - 61 = 38*i - 45*i, 70*x + 548 = -4*i for i.
3
Solve -2*q - 2*k + 45 = -33 + 4, 3*q - 129 = -9*k for q.
34
Solve 3*i - 51 = -1822169*q + 1822166*q, q + 4*i - 77 = 0 for q.
-3
Solve -6*w + 7*w - 41 = 14*m + 53, -2*m - 266 = -5*w for m.
-3
Solve 334*c + 28 = 368*c - 2*w, -4*c - w + 7 = 0 for c.
1
Solve q + 3*l + 17 = 3, -4*q + 4*l - 9564 + 9588 = 0 for q.
1
Solve 17*p + 8 = -5*u, 0*u + 4*p = 2*u - p + 15 for u.
-5
Solve 3*z = -n + 2*z + 10, 17076*n = 17033*n - 4*z + 352 for n.
8
Solve 24*k = -2*q + 178, 3*k - 90 - 41 = -3778*q + 3774*q for q.
29
Solve x - 59 = -5*b, 39 = -3*x + 1194*b - 1191*b for x
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 1 - -1 - 11) + -1).
-10
(151 - 139 - (11 - 2)) + -7
-4
What is (19 - 4) + -8 + (2 - 1)?
8
Evaluate -11 + -1 - (11 - 14 - (-8 - -5)).
-12
Calculate 18 + (-14 - -2) + -2.
4
What is the value of (40 - 5 - -5) + -26?
14
What is (12 - -10) + -16 - (1 + 8)?
-3
Calculate -11 - (-2 - -3) - (30 - 23).
-19
What is the value of (-23 - (1 - (8 - -6))) + -11?
-21
What is the value of 2 + -2 + (-6 - -14 - 1) + -8?
-1
What is the value of (65 - (0 - -12)) + -30?
23
What is the value of (21 - 29) + -12 + 3?
-17
What is the value of 1 + (5 - (6 + 5 + -6)) + 0?
1
Calculate 13 - ((8 - 8) + 23).
-10
-7 + (-5 - (-10 - 2)) - 1
-1
What is the value of 322 - 325 - (1 + 2 - 0 - 16)?
10
(138 - 142) + (-6 - -2) + (-1 - -3)
-6
What is the value of (-34 - -12) + -38 - -26?
-34
What is -5 + (-9 - (1 + -19)) + 6?
10
Evaluate 3 - ((6 - 8) + (0 - 1) + 5).
1
Calculate 9 + (10 - (30 - 3)).
-8
9 + (1 - -8) + -12 + -20
-14
What is the value of 4 - (0 - 0) - -2 - 13?
-7
Evaluate 333 - 355 - (-1 - 23).
2
Calculate 0 + 4 + -6 - 7 - (-38 + 31).
-2
What is the value of 19 - (26 + -15) - (-5 + -4)?
17
11 + -21 + 9 + 13
12
What is the value of 18 - 50 - -49 - -9?
26
What is the value of 24 + (-3 - 0 - 5 - (4 - 10))?
22
Evaluate -1 - -4 - (637 + -662).
28
What is -6 + (8 - 19) + 10 + 4?
-3
Calculate 6 + 0 + -11 + (3 - 12 - -20).
6
Evaluate (135 - 123) + -1 + -2 + (1 - 2).
8
-155 + 141 + (-1 - -17) - 11
-9
Evaluate -3 + 6 + 2 + (4 - 5) + -1.
3
Calculate 7 + 7 + 4 + -3 + -8 + -3.
4
What is the value of 4 - 14 - (2 + (-2 - (-3 + 7)))?
-6
What is the value of -12 + (-17 - (-37 + -9))?
17
What is the value of 2 + -4 + 6 - (5 - 27 - -25)?
1
Calculate (0 - -1 - (31 - 18)) + 1.
-11
Calculate 8 + (15 - 10) + -4.
9
3 + 1 + -1 + -16 + -3 + 4
-12
Evaluate 7 - (3 + -2 + -3) - 1.
8
Calculate 25 + -2 + -9 + 1.
15
1 + -12 - (-1 - (12 + -8 + -8))
-14
What is the value of (9 - 1 - 2) + -57 + 35?
-16
Evaluate -1 - (13 + -10) - 8 - -9.
-3
What is (285 - 286) + 22 + 2?
23
-29 + 16 - 0 - -4
-9
What is the value of -44 + 13 + 13 + -5?
-23
Evaluate 7 + -7 + 16 + -4.
12
4 - (16 - (11 - 3 - -9 - 8))
-3
What is the value of 11 + 8 + 3 + (7 - 62) + 13?
-20
What is 2 + 0 + -3 - 9 - (1311 + -1310)?
-11
Evaluate -9 + (4 + 0 + -7 - 1).
-13
Evaluate (-5 - (-1 + -3)) + (-18 - (-5 + -15)).
1
What is (11 - 1) + (3 - 1 - -7) + -15?
4
Evaluate -21 + 23 - (6 + 2) - (-8 - 2).
4
(-13 - -57) + -21 - 11
12
Evaluate 16 - 17 - (14 + (5 - 3)).
-17
Evaluate 24 - 1 - 23 - 24.
-24
Evaluate 18 + -1 + (12 + -7 - 1) + -3.
18
What is 2 - (-3 + (12 - 8) + 22 + 11)?
-32
Evaluate -16 + 13 + 34 - (9 - -6).
16
14 + (-7 - (8 + -4))
3
What is -39 - (-7 + -16 + 4 + 13)?
-33
Evaluate -11 + (-7 - -19) + -7 + 3.
-3
What is the value of -14 + 31 + -13 - (-1 + 1)?
4
Evaluate 15 + -43 + -18 + 15 + 2.
-29
Evaluate -71 - (-88 + 29) - (14 + 0).
-26
Calculate 35 + -33 + -8 + -17.
-23
What is -5 + 4 - (12 - (13 + 0))?
0
Calculate 9 + -22 + (9 - 3) + 9.
2
What is the value of (21 - (-19 - -20)) + -23?
-3
What is 1 + (-487 - -501 - (-1 - -21))?
-5
What is (7 - 0 - (-5 + -5 - -13)) + -13?
-9
What is the value of -20 + 2 + (3 - 4) + 17 + -11?
-13
4 + 5 + -27 - (0 + -8)
-10
What is -4 - (-24 + 12) - 8 - -4?
4
Evaluate 5 + (-3 - ((1 - 5) + 4)) - -18.
20
What is the value of -5 + -1 + -3 + 8 + -11 + 4?
-8
Evaluate 13 - 0 - (28 + -22).
7
What is the value of 0 + -1 + -149 + 140 - -5?
-5
What is 29 + -46 + -18 + 34?
-1
Calculate -22 + 27 - (0 - 6).
11
Evaluate -19 + 0 + 13 + -5 + 1.
-10
What is (11 - (21 + -6)) + (3 - -12)?
11
What is -5 + (8 - 3) + -12 + 0 + 3?
-9
What is the value of 6 - (8 - (12 + -13))?
-3
Calculate 2 + -4 - (4 + (8 + -6 - -3)).
-11
15 + 3 - (-1 + (2 - -6))
11
Calculate -56 - -65 - (1 + 4 - 4 - -8).
0
Calculate (-3 + 3 - 2) + (-9 - -5) + 1.
-5
What is the value of 0 + -20 - (340 + -361)?
1
What is 50 + -14 - (39 - 25)?
22
What is -7 - (2 - (-8 + 11)) - -19?
13
Calculate 2 + 5 + (13 + -2 - (33 + 1)).
-16
What is 10 - (9 - 0 - -7) - 9?
-15
What is (21 - (-21 - -32)) + (1 - (2 - -13))?
-4
Calculate -25 - 0 - (543 - 573).
5
What is 6 + (0 - (3 - 2)) + -42 + 35?
-2
(-1 - -24) + (-10 - 3)
10
(-28 - -3) + 106 + -85
-4
Evaluate 1 - -7 - (38 - (98 + -48)).
20
What is the value of (-3 - -8) + 60 + -57 + -17?
-9
What is the value of (-6 - -7 - 0) + (-3 - 7)?
-9
(1 - -19) + (-14 - (12 - (-8 - -24)))
10
(-136 - -131) + (-3 - 1)
-9
Evaluate -7 + 8 + -35 + 38.
4
What is the value of 0 + (-3 - (1 - (0 + 5) - -1))?
0
Evaluate (17 - (-15 + 39)) + 13 - (-4 + -1).
11
What is 2 + 1 + 0 + -4 + -1 + 0?
-2
Calculate (-11 - 0) + 17 + (1 - (6 + 0)).
1
Evaluate -2 + 11 + (-18 + 20 - 9) - -4.
6
Evaluate (-5 - (55 - 82)) + -1 + 8.
29
Evaluate 9 + -7 + 7 + -6.
3
10 + 9 + (18 - (-7 - -55))
-11
(2 - 2) + 8 + (-1 + 1 - -1)
9
Calculate -161 + 166 + -9 + 1.
-3
-6 + (25 - 21 - -4)
2
Evaluate -5 + 23 + 4 + 187 + -186.
23
Calculate -8 - 2 - (-54 - (-6 + (-7 - 1))).
30
What is the value of ((11 - 10) + 12 - 4) + (0 - 15)?
-6
What is the value of (32 - (26 + -4)) + -13?
-3
Calculate (61 - 51) + (-1 - 2).
7
-365 - -369 - (0 - 12)
16
Calculate (-1 - -4) + 19 + (-2 - (0 + 1)).
19
Evaluate -1189 + 1168 + (0 - -2).
-19
What is the value of 139 - 149 - ((-2 - -2) + 0 + 0)?
-10
Evaluate 2 + (12 - -1 - 1) + (-263 - -263).
14
Evaluate 29 - (-11 + 1 - -69).
-30
Evaluate (-1 - (-13 + 1)) + -1550 + 1567 + -3.
25
(0 - 5) + (49 - 26) + 6
24
(26 - (-1 - -18)) + 14
23
(-19 - -20) + 10 - (0 - 4)
15
Evaluate (-17 - (-9 - 7)) + -11.
-12
0 + 3 + 0 - -3 - (106 + -137)
37
Evaluate 7 - (-1 - ((12 - 2) + (11 - 14))).
15
Calculate (-16 + (6 - 2) - -6) + -8.
-14
Evaluate 2 - (3 + 1 - -14).
-16
What is the value of 17 - (12 - -10 - 21)?
16
Evaluate -30 - (-74 - -70 - (-1 - -2)).
-25
Calculate -4 - (-12 - (-16 - 3)).
-11
What is 16 + -1 - (-8 - (-38 + 24))?
9
Evaluate 7 + (0 - (25 - 7)) - (-6 + -2).
-3
Evaluate -12 + (-8 - -19) + -29.
-30
What is (-3 - 1) + -16 + 24 + -15?
-11
Evaluate (-2 + -3 - -2) + -27 - (53 - 55).
-28
Evaluate (5 - -2) + 1 - (-32 - -24).
16
Evaluate -741 + 738 - (-10 - -1).
6
Calculate 27 + 1 - (-13 - (-25 + -2 - -22)).
36
What is the value of -10 - (16 - (4 - -3 - 1))?
-20
What is -35 + -2 + (-3 + -6 - (10 + -23))?
-33
Evaluate -16 + (-4 - (13 + -25)).
-8
Calculate -305 - -273 - (0 + -23).
-9
What is the value of -7 - 9 - (-16 - -1)?
-1
Evaluate -17 + -40 + 15 + 40.
-2
Evaluate -179 + 174 + (-2 + 1 - 0).
-6
24 + -7 + -4 - 12
1
Evaluate (2 - -13) + (-1 + -5 + -1 - 0).
8
Evaluate -5 + (-1 - 2 - (-8 + (-34 - -21))).
13
What is the value of 0 + -5 - ((7 - -16) + -35)?
7
Calculate (21 - (-51 + 87)) + 1 + 0.
-14
-2 - (3 + (0 - 2) + 5 + 4)
-12
-24 - 2 - (-76 + 66)
-16
What is 13 + (-20 - (9 + -10))?
-6
Calculate (8 + -5 - (4 - 1)) + (-110 - -99).
-11
32 - ((-3 - 1) + (67 - 28 - 31))
28
What is -1 + 2 - (9 + (11 + -13 - 5))?
-1
17 - (-15 + 11) - 14
7
Calculate -13 - (-12 + 8 + -1) - (-2 - 10).
4
Calculate (-2 - (-20 + 8 + 6)) + 1.
5
(5 - 16) + -4 + 10
-5
What is the value of 64 - 47 - (3 - 1 - (18 + -18))?
15
What is the value of 3 - (-8 + 9 + 5 - (16 - 4))?
9
What is the value of 20 + -1 - ((-10 - -22) + (-5 - -1))?
11
What is 26 + 4 + -25 + 4 - -3?
12
Calculate -13 + 19 - (3 - (6 - 5)).
4
Calculate 24 - (-1 + -22 + 23).
24
What is the value of (-27 - -27) + -9 + 20?
11
Evaluate 4 + (2 - -4) + (1 - 11) - 5.
-5
What is 0 - ((-3 - -14) + 2 + -8)?
-5
Calculate 50 - 39 - (-10 + 5 + 7 - -34).
-25
Evaluate (2 + 4 - -9) + -5 - (-1 - -8).
3
What is the value of 5 - (13 + (33 - 31))?
-10
(-14 - ((13 - 17) + 2 + -3)) + 3
-6
What is the value of 10 + (7 - -5) + -18 + -30?
-26
(-12 - ((-27 - -19) + 12)) + -2
-18
Calculate 19 + (-369 + 388 - (1 + 40)).
-3
What is -25 + -28 + 39 - (-2 + 0 + 0)?
-12
(-10 + -8 - -36) + -1
17
Calculate 2 - (-14 + (8 - -19)).
-11
7 - (12 - 8) - (19 - 4)
-12
Evaluate (19 - (3 + 1)) + 169 + -164.
20
Calculate 3 - (-2 - -3 - (2 + -7)).
-3
Evaluate 6 - (-2 - (7 + 0)).
15
3 + -10 + -11 - (-2 - (11 - 8))
-13
0 + (-1 - -2) + (114 - 47 - 96)
-28
Evaluate -11 + 1 + -383 + 384 + -18.
-27
What is the value of -7 + 2 + -15 + 19 + -9?
-10
What is the value of (-7 - -3 - -2) + -4 - 0?
-6
What is the value of (-1 - -2) + 12 + (47 - 54)?
6
(7 - 3 - 10) + (-12 - -6) + 2
-10
What is the value of -18 + 10 + -4 - (-3 - 7)?
-2
What is 54 - 57 - (-1 + (1 - -2) - 14)?
9
What is the value of -15 -
|
{
"pile_set_name": "DM Mathematics"
}
|
115/1716?
5148
What is the common denominator of -101/75160 and 41/12?
225480
Calculate the common denominator of -1/44748 and -41/44.
44748
Calculate the common denominator of 95/15912 and 12/455.
556920
Calculate the smallest common multiple of 8 and 128609.
1028872
Calculate the smallest common multiple of 21372 and 37401.
149604
Calculate the common denominator of -7/36438 and -11/4.
72876
What is the least common multiple of 736 and 23?
736
What is the lowest common multiple of 1995 and 70395?
492765
Find the common denominator of 69/2525948 and 93/4.
2525948
What is the common denominator of 61/585 and -10/10179?
50895
Find the common denominator of 15/2392 and -23/256.
76544
What is the least common multiple of 1206404 and 8?
2412808
What is the common denominator of 17/58 and 33/19486?
565094
What is the least common multiple of 10728 and 9536?
85824
Find the common denominator of 87/2670944 and 117/17480.
13354720
What is the common denominator of 70/109989 and 29/139986?
1539846
Calculate the common denominator of -83/3350 and 17/9.
30150
Calculate the lowest common multiple of 80 and 2.
80
Find the common denominator of -97/8328 and -19/15615.
124920
What is the least common multiple of 6630 and 24531?
245310
Find the common denominator of -11/96 and 179/9060.
72480
What is the least common multiple of 42500 and 2380?
297500
Calculate the common denominator of -79/45 and 9/7235.
65115
Find the common denominator of 95/768 and -49/96.
768
Calculate the smallest common multiple of 767116 and 10.
3835580
What is the least common multiple of 12 and 50024?
150072
What is the least common multiple of 1360 and 4853?
6600080
What is the lowest common multiple of 77 and 93038?
651266
What is the smallest common multiple of 236052 and 4740?
1180260
Calculate the common denominator of -16/179141 and -71/718.
358282
What is the common denominator of -57/58550 and 3/175?
409850
What is the common denominator of -133/96 and -11/1800?
7200
Calculate the common denominator of -79/88 and -31/8728.
96008
What is the lowest common multiple of 2700 and 6600?
59400
What is the lowest common multiple of 8268 and 13780?
41340
Calculate the common denominator of 17/121500 and 79/17010.
850500
Calculate the smallest common multiple of 5643 and 733590.
733590
Calculate the common denominator of -52/855001 and -59/441.
7695009
What is the lowest common multiple of 4963 and 34727?
24621443
Calculate the common denominator of 103/13728 and -73/176.
13728
Find the common denominator of 167/27678 and -89/11862.
83034
What is the common denominator of 55/32697 and 31/54495?
163485
What is the common denominator of -71/8 and -93/137902?
551608
What is the smallest common multiple of 22971 and 4836?
91884
Find the common denominator of -13/18 and 133/39100.
351900
What is the smallest common multiple of 789 and 51?
13413
Find the common denominator of -65/21024 and -107/2190.
105120
Calculate the lowest common multiple of 2418 and 10881.
21762
Calculate the smallest common multiple of 101016 and 1012.
1111176
Calculate the least common multiple of 4 and 666869.
2667476
What is the lowest common multiple of 252 and 1638?
3276
Calculate the least common multiple of 12025 and 5550.
72150
Find the common denominator of 41/6480 and -101/144.
6480
What is the smallest common multiple of 10 and 192386?
961930
Find the common denominator of 109/110 and 13/5380.
59180
Calculate the common denominator of -163/512106 and -8/175.
12802650
Calculate the common denominator of 43/16264 and 101/12.
48792
Find the common denominator of -35/16309 and -43/3817.
179399
Calculate the common denominator of -181/205758 and -57/1420.
2057580
Calculate the common denominator of -69/56 and 79/4936.
34552
Calculate the common denominator of -22/44681 and -51/274469.
1921283
Calculate the common denominator of 89/6870 and 3/205.
281670
Find the common denominator of 35/166806 and 29/148272.
1334448
Find the common denominator of -2/13 and 99/10600.
137800
What is the common denominator of -83/60207 and 28/13?
782691
What is the lowest common multiple of 10 and 103334?
516670
Calculate the lowest common multiple of 48 and 3064.
18384
What is the least common multiple of 399807 and 2790?
3998070
Calculate the common denominator of -77/1944 and 155/33048.
33048
What is the least common multiple of 4015 and 236082?
1180410
Calculate the lowest common multiple of 48028 and 264154.
528308
Calculate the least common multiple of 150144 and 300288.
300288
Calculate the least common multiple of 1113 and 183645.
183645
Calculate the common denominator of -79/8610 and -113/2870.
8610
Calculate the lowest common multiple of 11 and 6514.
71654
What is the least common multiple of 540 and 82620?
82620
What is the smallest common multiple of 44 and 243628?
243628
What is the smallest common multiple of 534 and 125223?
250446
What is the least common multiple of 30155 and 8965?
331705
Calculate the least common multiple of 9396 and 300.
234900
Calculate the smallest common multiple of 98 and 51429.
720006
Calculate the smallest common multiple of 136425 and 109140.
545700
Calculate the lowest common multiple of 384 and 122400.
489600
Calculate the smallest common multiple of 97440 and 2610.
292320
Calculate the least common multiple of 4680 and 66.
51480
Calculate the least common multiple of 22 and 28026.
308286
Calculate the smallest common multiple of 67760 and 605.
67760
Calculate the least common multiple of 639576 and 1172556.
7035336
Calculate the smallest common multiple of 262956 and 30.
1314780
Find the common denominator of -35/43422 and 119/30.
217110
What is the lowest common multiple of 3692 and 1900?
1753700
What is the common denominator of 53/80349 and 25/12?
321396
Find the common denominator of -23/9070 and -85/14512.
72560
Find the common denominator of 58/1575 and -163/21546.
538650
Calculate the common denominator of 49/24 and -93/3638.
43656
What is the common denominator of -58/4617 and 17/46170?
46170
What is the common denominator of 49/21395 and 67/120?
513480
What is the lowest common multiple of 31990 and 10?
31990
Calculate the common denominator of 113/135720 and -115/264.
1492920
Find the common denominator of 29/102492 and 85/9828.
717444
What is the common denominator of -83/7875 and -116/26775?
133875
What is the least common multiple of 105 and 325855?
6842955
Calculate the common denominator of -81/11660 and -97/66462.
664620
Find the common denominator of 101/10230 and 137/990.
30690
Calculate the lowest common multiple of 18669 and 18669.
18669
Calculate the lowest common multiple of 198 and 70662.
2331846
What is the least common multiple of 237684 and 475368?
475368
Calculate the common denominator of 22/21495 and 37/425.
1827075
Find the common denominator of -125/24 and 37/381222.
1524888
What is the least common multiple of 974 and 528?
257136
Calculate the common denominator of -74/75 and 113/2415.
12075
Calculate the common denominator of 91/2700 and 92/2835.
56700
Calculate the least common multiple of 1967 and 3934.
3934
What is the lowest common multiple of 3486 and 165?
191730
Calculate the smallest common multiple of 2806325 and 10.
5612650
What is the smallest common multiple of 221 and 6885?
89505
What is the common denominator of 31/400 and -89/38700?
154800
What is the common denominator of -52/34491 and 28/27?
310419
What is the least common multiple of 987 and 196?
27636
What is the common denominator of -131/624 and 113/51168?
51168
Calculate the lowest common multiple of 88 and 2348.
51656
Calculate the lowest common multiple of 24544 and 28.
171808
Calculate the common denominator of 137/510 and -43/4785.
162690
Calculate the lowest common multiple of 1065 and 4473.
22365
What is the common denominator of 52/51 and 167/4590?
4590
Calculate the smallest common multiple of 1816000 and 18160.
1816000
What is the lowest common multiple of 4686 and 1620?
1265220
Find the common denominator of -89/18328 and -109/2552.
201608
What is the common denominator of -13/43000 and 67/5000?
215000
Find the common denominator of 77/40760 and 49/11209.
448360
Calculate the least common multiple of 150 and 3424.
256800
Find the common denominator of -55/28332 and 1
|
{
"pile_set_name": "DM Mathematics"
}
|
ect the terms in 14854 - 14854 - 802604*u**2.
-802604*u**2
Collect the terms in -4 - 53138*l + 4 + 54185*l.
1047*l
Collect the terms in -3 + 3 + 295466642*s**2 - 295466654*s**2.
-12*s**2
Collect the terms in -149940898*v**2 - 149940890*v**2 + 299881775*v**2.
-13*v**2
Collect the terms in 4*l + 14303979*l**2 - 10*l + 6*l.
14303979*l**2
Collect the terms in 1851*r + 1897*r + 1849*r + 1 + 1871*r - 1 - 7471*r.
-3*r
Collect the terms in -55 + 7 - 35 - 45 + 5*j**2 + 20.
5*j**2 - 108
Collect the terms in 63192 + 7*u**3 + 29*u**3 - 63192.
36*u**3
Collect the terms in 707 + 79364*g**3 - 79332*g**3 - 9*g**2 - 707 + 9*g**2.
32*g**3
Collect the terms in -57*y**3 + 562*y**3 + 418*y**3 - 100*y**3 + 419*y**3.
1242*y**3
Collect the terms in -188366*f**2 + 94134*f**2 + 94234*f**2.
2*f**2
Collect the terms in 10878 - 32618 + 5*q**3 + 10*q**3 + 10867 + 10873.
15*q**3
Collect the terms in -871*q**2 + 214*q + 277*q - 491*q.
-871*q**2
Collect the terms in -112882 - 23*j**2 + 66*j**2 + 112882 - 27*j**2 - 20*j**2.
-4*j**2
Collect the terms in 190*u - 6 + 6 + 183*u - 510*u + 174*u.
37*u
Collect the terms in -150509*v**2 - 149130*v**2 + 299639*v**2 + v**3.
v**3
Collect the terms in -3211*q**2 + 2381*q**2 - 3873*q**2.
-4703*q**2
Collect the terms in -51*h**2 - 19 + 28 - 260*h - 7.
-51*h**2 - 260*h + 2
Collect the terms in -3 - 80*r + 79*r - 160*r - 7*r - 74*r.
-242*r - 3
Collect the terms in 2269754149*t**2 + 2269754144*t**2 - 4539508283*t**2.
10*t**2
Collect the terms in 54*z**3 - 108*z**3 - 3266*z**2 + 55*z**3 + 3280*z**2.
z**3 + 14*z**2
Collect the terms in 52328*l - 4 + 4 - 3 - 52326*l + 3.
2*l
Collect the terms in -10*u + 4*u + 3*u + 13*u**2 - 59*u**2 + 25*u**2 + u.
-21*u**2 - 2*u
Collect the terms in w**3 + 7*w**3 - 36470 + 12161 + 12152 + 12157 - 5*w**3.
3*w**3
Collect the terms in 925*k**3 - 750292*k**2 + 750292*k**2.
925*k**3
Collect the terms in -10*i + 769*i - 6*i + 405*i + 162*i.
1320*i
Collect the terms in -31555874 + 66260*b + 31555874.
66260*b
Collect the terms in 0*m**2 + 0*m**2 - 469*m**3 - 627*m**3 + 1764*m**3 - 642*m**3.
26*m**3
Collect the terms in 15784581*o + 15784385*o - 31568952*o.
14*o
Collect the terms in 3*u**2 + 15*u**2 + 54645650593 - 54645650593.
18*u**2
Collect the terms in 3357*g + 102 + 46 - 3292*g.
65*g + 148
Collect the terms in 718*k - 5627 - 720*k - 2704.
-2*k - 8331
Collect the terms in -335*x**2 + 134*x**2 + 80*x**2 + 84*x**2 + 35*x**2 - 76*x.
-2*x**2 - 76*x
Collect the terms in -23*p + 2031 + 2032 - 4061.
-23*p + 2
Collect the terms in 1669 - 815 + i - 831.
i + 23
Collect the terms in 41826*f**3 - 13949*f**3 - 13921*f**3 - 13947*f**3.
9*f**3
Collect the terms in -1385*i + 1933*i**2 + 1128*i**2 + 1397*i - 2.
3061*i**2 + 12*i - 2
Collect the terms in 0*j + 0*j - 15250*j**2 - 27701 + 27701.
-15250*j**2
Collect the terms in 1173 - 298*b**2 - 269*b**2 + 568*b**2.
b**2 + 1173
Collect the terms in -6*k**3 - 43*k + 677*k + 3536*k.
-6*k**3 + 4170*k
Collect the terms in -16111*x**2 - 34174*x**2 - 23615*x**2 - 27640*x**2.
-101540*x**2
Collect the terms in -10 + 1471*s - 43*s + 426*s.
1854*s - 10
Collect the terms in 438*l**2 + 76*l**2 - 1503*l + 268*l**2.
782*l**2 - 1503*l
Collect the terms in 734958*w**2 - 2 + 2 - 734958*w**2 + 47*w**3.
47*w**3
Collect the terms in -195*b**2 + 398*b + 400*b**2 - 158*b - 206*b**2 - 240*b.
-b**2
Collect the terms in 5 + 78*h**2 - 52*h**2 + 55*h**2 + 10*h - 3.
81*h**2 + 10*h + 2
Collect the terms in -5 - 2 - 4 - 2*w**2 - 6521*w**3 + 13 + 0.
-6521*w**3 - 2*w**2 + 2
Collect the terms in 369 + 401 + 375 + 376 + 30*w + 367 - 1888.
30*w
Collect the terms in 4*w**2 - 1755180*w**3 + 1757036*w**3 - 4*w**2.
1856*w**3
Collect the terms in 1530*b + 6 - 4 + 4140*b**3 - 4142*b**3 + 10804*b.
-2*b**3 + 12334*b + 2
Collect the terms in 15841*a**2 + 3085*a**2 + 33409*a**2.
52335*a**2
Collect the terms in -31234*s**2 - 31231*s**2 + 93793*s**2 - 31314*s**2.
14*s**2
Collect the terms in 4437239 + 4*g - 114*g - 4437219.
-110*g + 20
Collect the terms in 40*p**2 - 211*p**2 - 7*p**2 + 48*p**2 + 5*p**2.
-125*p**2
Collect the terms in 12918*q - 42706*q - 762*q - 95754*q.
-126304*q
Collect the terms in 99411 - 198829 + 99418 + 47*i**3.
47*i**3
Collect the terms in 42962*n**3 - 42959*n**3 + 26*n - 53*n + 27*n.
3*n**3
Collect the terms in 26*i + 17849 - 9*i + 17629 - 35478.
17*i
Collect the terms in 9045*w**2 + 2*w - 9031*w**2 + 4*w - 6*w.
14*w**2
Collect the terms in -24*j + 63*j - 3*j - 15*j - 15*j.
6*j
Collect the terms in 40 - 3056*b**2 - 147 + 107.
-3056*b**2
Collect the terms in -1263*r**3 - 14607*r**3 + 5*r**2 - 5353*r**3 - 11179*r**3.
-32402*r**3 + 5*r**2
Collect the terms in 304 - 26 + 76 - 91*m**3 + 92*m**3 - 2*m.
m**3 - 2*m + 354
Collect the terms in -98*w**3 - 84*w**3 - 93*w**3 - 665*w + 665*w - 140*w**3.
-415*w**3
Collect the terms in 18 + 223 + 41*w - 6*w**2 - 11*w + 501.
-6*w**2 + 30*w + 742
Collect the terms in 43*y + 181*y**3 + 43*y - 88*y**3 - 86*y - 92*y**3 + 109*y**2 - 133*y**2.
y**3 - 24*y**2
Collect the terms in -37 - 12108*m - 12275*m + 3*m**2 + 14 + 22.
3*m**2 - 24383*m - 1
Collect the terms in 4*f - 47*f**2 + 10*f**2 + 18*f - 47*f + 25*f.
-37*f**2
Collect the terms in -4 - 5*y - 5 - 12*y + 12*y + 8 + 1.
-5*y
Collect the terms in -3695*h - 3314*h + 10712*h - 3698*h.
5*h
Collect the terms in 9 + 31956*n - 31943*n + n**2 - 9.
n**2 + 13*n
Collect the terms in 127928*f**3 - 3 - 383744*f**3 + 3 + 127966*f**3 + 127958*f**3.
108*f**3
Collect the terms in 6*p**2 - 7*p + 0*p**2 - 104*p**3 - 60*p**3.
-164*p**3 + 6*p**2 - 7*p
Collect the terms in -3*q + 243066 - 121522 - 121556.
-3*q - 12
Collect the terms in -331*u + 87*u + 88*u + 83*u - 158 + 74*u.
u - 158
Collect the terms in -119*t**2 + t - 7 - 5 + 5*t**2.
-114*t**2 + t - 12
Collect the terms in -12867507*c + 23*c**2 - 12867464*c + 25734971*c.
23*c**2
Collect the terms in -1481*d - 1529*d - 2 + 2883*d.
-127*d - 2
Collect the terms in -w**3 - 10 + 15 + 94*w**2 - 31*w**2 + 5*w**3 - 5.
4*w**3 + 63*w**2
Collect the terms in 506 - 140 - 122 - 120 - 121 + 82*y.
82*y + 3
Collect the terms in 895*n**2 - 57*n**2 + 433*n**3 - 794*n**2 - 44*n**2.
433*n**3
Collect the terms in -132*d**3 - 76 - 88 - 92 + 334 - 78 + d**2.
-132*d**3 + d**2
Collect the terms in -154046*g**3 - 149483*g**3 + 303508*g**3.
-21*g**3
Collect the terms in -12 + 48332*k - 16117*k - 16101*k + 2*k**2 - 16114*k - 26.
2*k**2 - 38
Collect the terms in -223*f - 1533*f**3 - 4110*f**3 + 5*f**2 + 223*f - 5*f**2.
-5643*f**3
Collect the terms in -1375*w**2 - 1378*w**2 - 1380*w**2 + 5534*w**2 - 1400*w**2.
w**2
Collect the terms in -218497*k**2 + 43698*k**2 + 43696*k**2 + 43707*k**2 + 43699*k**2 + 43699*k**2.
2*k**2
Collect the terms in -890*j + 528*j + 352*j.
-10*j
Collect the terms in 4573798*v - 2286585*v - 2287216*v.
-3*v
Collect the terms in -5327*i**2 + 3269*i**2 + 4454*i**2.
2396*i**2
Collect the terms in 3242197*c - 1620958*c - 1620819*c.
420*c
Collect the terms in -2512 + 2*p - 6464 - 1627.
2*p - 10603
Collect the terms in 7859*t**3 - 15 + 0 + 15 + 0.
7859*t**3
Collect the terms in -3 - 592*i - 645*i + 2433*i + 3 - 595*i - 594*i.
7*i
Collect the terms in 19365 + 19409 + 2*t + 19406 - 58180.
2*t
Collect the terms in -20 - 20258*t**3 + 6745*t**3 + 6739*t**3 + 20 + 6752*t**3.
-22*t**3
Collect the terms in 198*b - 169*b - 258*b.
-229*b
Collect the terms in -215*o**2 - 424 + 375*o**2 - 208*o**2.
-48*o**2 - 424
Collect the terms in 323 + 320 - 40*v + 328 + 322 + 326 - 1617.
-40*v + 2
Collect the terms in 20900*g + 322 - 10444*g - 10448*g.
8*g + 322
Collect the terms in t**2 + 263078861*t**3 - 526157682*t**3 + 263078859*t**3.
38*t**3 + t**2
Collect the terms in 118 + 888*h - 1723*h + 838*h.
3*h + 118
Collect the terms in 6888*v - 3229*v - 2508*v.
1151*v
Collect the terms in -8260*k + 41*k**3 + 886*k**3 + 8201*k.
927*k**3 - 59*k
Collect the terms in -1873 - 47626*l**2 - 6*l + 1874 + 6*l.
-47626*l**2 + 1
Collect the terms in 12102*l**2 + 4179*l**2 - 7*l + 4*l + 3*l.
16281*l**2
Collect the terms in 253*r**3 - 68*r**3 + 199*r**3.
384*r**3
Collect the terms in 15*f**2 - 53142798*f**3 - 15*f**2 + 53142754*f**3.
-44*f**3
Collect the terms in 2391*v + 2387*v + 625*v - 5409*v.
-6*v
Collect the terms in -184364 + 184364 + 24*t**2 + 41*t**3 - 18*t**3 - 22*t**3 - t + t.
t**3 + 24*t**2
Collect the terms in 1 - 243*m**3 - 28*m**3 +
|
{
"pile_set_name": "DM Mathematics"
}
|
+ b - 1. Let i(h) = -5*h. Give z*i(f) - 3*j(f).
2*f - 3
Let m(o) = 2*o**3 + 2*o**2 + 4 - 2*o**2. Let d(z) = -z**3 - 1. Suppose -v + 4*u = -0*v + 40, 0 = -3*v - 5*u - 86. Let f = v - -33. Calculate f*m(k) + 4*d(k).
-2*k**3
Let h(w) = -107*w - 7. Let o(z) = -106*z - 8. Determine -7*h(g) + 6*o(g).
113*g + 1
Let i(h) = -328*h - 2. Let c(r) = -234525*r - 1431. Determine 2*c(s) - 1431*i(s).
318*s
Let i(l) = -36*l**3 + 12*l**2 + 13*l. Let o(r) = -18*r**3 + 6*r**2 + 7*r. Determine 6*i(y) - 11*o(y).
-18*y**3 + 6*y**2 + y
Let i(o) = o**3 - 4*o**2 - o + 3. Let t(q) be the first derivative of q**3/3 - q - 64. Determine -i(n) - 3*t(n).
-n**3 + n**2 + n
Let q(d) = 10*d + 25. Let f(m) = 21*m + 52. Give 6*f(s) - 13*q(s).
-4*s - 13
Let g(s) = -18*s**3 - 14*s**2 - s + 3. Let r(y) = -35*y**3 - 30*y**2 - 3*y + 7. Give 7*g(x) - 3*r(x).
-21*x**3 - 8*x**2 + 2*x
Let j(b) = -8*b**3 + 7*b - 4. Let n = -704 - -710. Let v(r) = -17*r**3 + 15*r - 9. Give n*v(o) - 13*j(o).
2*o**3 - o - 2
Let q(b) = 247*b**3 + 5*b**2 - 10*b + 5. Let t(m) = 370*m**3 + 8*m**2 - 16*m + 8. Determine 8*q(k) - 5*t(k).
126*k**3
Let x(d) = -20*d**3 + 6*d**2 - 6*d - 17. Let j(m) be the first derivative of -7*m**4/4 + 2*m**3/3 - m**2 - 6*m - 175. Give -17*j(s) + 6*x(s).
-s**3 + 2*s**2 - 2*s
Let t(v) = -6*v**2 + 27*v + 7. Let a(c) = 2*c**2 - 10*c - 2. Give 8*a(z) + 3*t(z).
-2*z**2 + z + 5
Let z(n) = n**2 + n. Let y(g) be the third derivative of -g**6/120 - g**5/20 - g**4/12 - g**2. Let v = -670 - -669. What is v*y(k) - 3*z(k)?
k**3 - k
Let f(u) = -2*u**3 - 3*u**2 - 2. Let n(i) = 6*i**3 + 10*i**2 + 4. Calculate 7*f(l) + 2*n(l).
-2*l**3 - l**2 - 6
Suppose -4 = -b, -b + 14 - 40 = 5*a. Let n(r) = r**2 - r - 6. Let q(c) = -2*c**2 + c + 7. Give a*q(j) - 7*n(j).
5*j**2 + j
Let g(m) = -2*m - 3. Suppose -30*a + 40*a + 50 = 0. Let x(b) = -b - 2. What is a*x(n) + 3*g(n)?
-n + 1
Let y(o) = o - 7. Let t(z) = z - 1. Let s be 1/((-8)/((-48)/(-6))). What is s*y(k) + 2*t(k)?
k + 5
Let d(w) = -98*w**2 - 9*w + 3. Let p(a) = 49*a**2 + 5*a - 2. Give -3*d(g) - 5*p(g).
49*g**2 + 2*g + 1
Let k(z) = -12*z. Let v = -68 + 70. Suppose -3*l - 2*y = -3*y - 18, -12 = -v*l - 4*y. Let u(h) = h. Give l*u(m) + k(m).
-6*m
Let y(z) = 2*z**3 + 63*z**2 - 3*z - 3. Let f(l) = l**3 + 64*l**2 - l - 2. Give 3*f(v) - 2*y(v).
-v**3 + 66*v**2 + 3*v
Let i(q) = -2*q**3 + 22*q**2 + 113*q - 1. Let f(j) = 2*j**3 - 29*j**2 - 114*j + 1. Calculate -3*f(l) - 4*i(l).
2*l**3 - l**2 - 110*l + 1
Let p(v) = 4*v - 189. Let y(f) = -f + 47. Calculate -2*p(q) - 9*y(q).
q - 45
Let t(s) = 16*s**2 - 9*s - 20. Let b(l) = -8*l**2 + 5*l + 11. What is 7*b(x) + 4*t(x)?
8*x**2 - x - 3
Let j(p) = -p + 5. Let x(u) = -2*u + 9. Let a = 40 + -56. Let i = a + 20. Suppose 0*n = -i*n - 16. What is n*x(c) + 7*j(c)?
c - 1
Let c(p) = -7*p**3. Let b = -13 - 2. Let q(t) = -t - 5. Let k be q(-7). Let l(u) = -8*u**3 - 2 + k - 19*u**3. Determine b*c(z) + 4*l(z).
-3*z**3
Let s(a) = 2*a**2 - 3*a - 149. Let z(l) = 2*l**2 - 4*l - 150. Determine 5*s(n) - 4*z(n).
2*n**2 + n - 145
Let s(a) = -a**3. Let c(v) = 46 - 8*v - 40 + v**2 + 0*v**2. Let q be c(8). Let j(t) = 5*t**3 + t**2. Determine q*s(x) + j(x).
-x**3 + x**2
Let x(w) = -3*w - 11. Let n(i) be the second derivative of 1/6*i**3 + 5/2*i**2 + 24*i + 0. Give -5*n(k) - 2*x(k).
k - 3
Let n(s) = -51*s**2 + 5 + 49*s + 268*s**2 - 54. Let x(d) = -9*d**2 - 2*d + 2. Determine 2*n(w) + 49*x(w).
-7*w**2
Let y(b) = -5*b**3 - 3*b**2 - 4*b + 3. Let w(r) = 8 - 6*r - 4*r**3 - 6 + 3*r - 2*r**2. Suppose 2*d = 5*d. Suppose -h + 2*h - 3 = d. Determine h*w(o) - 2*y(o).
-2*o**3 - o
Let j(a) = 2*a + 2. Let v(q) = -q**3 - q**2 + 4*q - 4. Let s be v(2). Let o be (-4)/s*(13 - 3). Let r(p) = 4*p + 4. Give o*j(d) - 3*r(d).
-2*d - 2
Let x(u) = u - 1. Let j(h) = -10 - 2*h + 4*h + 2*h - 3*h + 8. What is -7*j(d) + 6*x(d)?
-d + 8
Let b(a) be the first derivative of -7*a**3/6 - 2*a**2 - 10*a - 9. Let j(v) be the first derivative of b(v). Let n(y) = -y - 1. What is -j(f) + 6*n(f)?
f - 2
Let u = 6 - 1. Suppose -3*g + 27 = 2*c, u*g - 3*g + 22 = 2*c. Let z(h) = -h + 1. Let y(f) = 18*f - 12. Determine c*z(l) + y(l).
6*l
Let k(s) = 12*s**2 - 56*s**3 + 17*s**3 + 12*s**3 + 18*s**3. Suppose 5*i = -10*i + 15. Let a(m) = m**3 - m**2. Give i*k(c) + 12*a(c).
3*c**3
Let f be ((-13)/(-2)*(-84)/(-91))/2. Let a(w) = 2*w - 1. Suppose -4*s = -4, -5*p + 3*s - 17 = -4. Let d(b) = b**2 + 2*b - 1. Determine f*a(r) + p*d(r).
-2*r**2 + 2*r - 1
Let k(b) = 1. Let j(f) = -f + 5. Suppose 0 = -3*u - 18 + 15. Give u*j(y) + 3*k(y).
y - 2
Let u(m) = -146*m**3 + 4*m + 72*m**3 + 71*m**3. Let x(n) = 2*n - 7*n + 0*n + 6*n. Determine -u(g) + 3*x(g).
3*g**3 - g
Let l(f) = 9*f**3 + 8*f**2 + 6*f + 1. Let x(p) be the first derivative of -17/2*p**2 - 13/2*p**4 - 4 - 3*p - 23/3*p**3. Calculate 17*l(j) + 6*x(j).
-3*j**3 - 2*j**2 - 1
Let l(g) be the first derivative of 4*g**3/3 - g**2/2 - 8*g + 409. Let s(b) = -3*b**2 + b + 7. Give 6*l(p) + 7*s(p).
3*p**2 + p + 1
Let w(g) = -g**2 + 4*g - 1. Let m(v) = -125*v**2 + 25*v - 8. Determine -m(a) + 6*w(a).
119*a**2 - a + 2
Let v(t) = -5*t + 3. Let g = 32 - 17. Let c be (g/(-20))/((-3)/20). Let y(z) = -5 + 10*z - 5*z + 2*z + 2*z. Determine c*v(s) + 3*y(s).
2*s
Let f(o) = -1. Let m(d) = d**2 - 2*d + 3. Suppose 10*i = 9*i - 2*k + 9, 0 = -5*i + k - 10. Determine i*m(v) - 5*f(v).
-v**2 + 2*v + 2
Suppose -8*g + 19 + 29 = 0. Let c(p) = 11*p**2 - 5*p + 11. Let a(x) = -2*x**2 + x - 2. What is g*c(i) + 34*a(i)?
-2*i**2 + 4*i - 2
Let z(s) = -s + 6. Suppose 0 = 9*x - 96 + 114. Let c(h) = -3*h + 13. Give x*c(a) + 5*z(a).
a + 4
Let g(t) = 4*t**2 + 3*t + 8. Let b(n) = 4*n**2 + 2*n + 3. Determine 3*b(m) - 2*g(m).
4*m**2 - 7
Let f(v) = 59*v - 63. Let d(b) = 93*b - 95. Calculate -5*d(p) + 8*f(p).
7*p - 29
Let n(b) = 529*b + 8 - 1 + 4*b**2 - 523*b - 9*b**2. Let t(u) be the second derivative of -u**4/3 + 5*u**3/6 + 3*u**2 - 6*u. Give 5*n(j) - 6*t(j).
-j**2 - 1
Let v(s) = 128*s**2 + 6*s - 7. Let w(c) = -256*c**2 - 13*c + 15. Determine 13*v(f) + 6*w(f).
128*f**2 - 1
Let c(h) = -166*h**3 - 4*h**2. Let k(b) = 166*b**3 + 3*b**2. Give -3*c(s) - 4*k(s).
-166*s**3
Let a(x) = 13*x**2 + 9*x. Let z(r) = 3*r**2 + 2*r. Suppose 4*p - 96 = -60. Determine p*z(c) - 2*a(c).
c**2
Let y(j) = -j**3 - j + 1. Let x(f) = 4*f**3 + 75*f - 9. What is -x(p) - 5*y(p)?
p**3 - 70*p + 4
Let c(z) = 42*z**2 - 7. Let k(u) = 2*u**2 - 1. Give c(f) - 4*k(f).
34*f**2 - 3
Let y(w) = -73*w**2 + w + 14. Let n(v) = -24*v**2 - v + 4. Calculate 7*n(k) - 2*y(k).
-22*k**2 - 9*k
Let p(j) = 0*j + 17*j**2 - 3*j**2 - 2*j - 7*j**2 - 3*j**2. Let z(t) = 3*t**2 - 3*t. Determine -4*p(q) + 5*z(q).
-q**2 - 7*q
Let k(n) = 4*n**3 - 16*n + 16. Suppose -6*x + 28*x + 110 = 0. Let h(i) = -i**3 + 5*i - 5. Give x*k(c) - 16*h(c).
-4*c**3
Let t(q) = q**2 - q + 1. Let l(h) be the third derivative of 1/6*h**3 - 1/60*h**5 - 1/12*h**4 + 0 - 12*h**2 + 0*h. Determine l(k) - 2*t(k).
-3*k**2 - 1
Let m(g) = 2*g - 5. Let x(q) = q**2 - 9*q + 21. Let p(w) = -w**2 - 7*w + 6. Let d be p(-8). What is d*x(o) - 9*m(o)?
-2*o**2 + 3
Let d(a) be the second derivative of a**2/2 - 16*a. Suppose 0 = f + 3, 2*b + 2*f = -b + 9. Let x(q) = q + 4. What is b*d(p) - x(p)?
-p + 1
Let l = 602 + -603. Let s(z) = -8*z**2 + 4*z - 4. Let y(u) = u**2 - u + 1. Calculate l*s(w) - 5*y(w).
3*w**2 + w - 1
Let z(f) = 2*f**3 + 2*f - 1. Let o = 304 + -305. Let n(y) = y**3 + 1. Determine o*z(c) - 2*n(c).
-4*c**3 - 2*c - 1
Let c(z) = -2*z**2 - 3*z - 1. Let d(x) = -2 - 4*x**2 + 0*x**2 - 2*x**2 - 8*x. Let o(u) = -u**2 - 18*u + 85. Let k be o(-22). Give k*d(w) + 8*c(w).
2*w**2 - 2
Let d be ((-6)/(-12))/((-2)/(-28)). Let k = -4 + d. Let s(v) = -k - 1 - v - v**2 + 2 + 1. Let b(r) = 8*r**2 + 7*r + 4. Determine -b(t) - 6*s(t).
-2*t**2 - t + 2
Suppose -u = -q - 23, -4*u = 3*q - u + 45. Let l(m) = 22*m. Let x(v) = 133*v. Determine q*l(s) + 3*x(s).
-19*s
Let o(j) = 45*j + 3. Let c(q) = -134*q - 10. Determine -4*c(i) - 14*o(i).
-94*i - 2
Let d(f) = 4*f + 3*f + 6 + 9 - 6. Suppose 2*n + 4*m + 14 = 0, 4*n - 2*m + 5 = -13. Let k(w) = 1 + 3*w - 15 - 14*w. What is n*k(x) - 8*d(x)?
-x - 2
Let b(t) = 3*t + 58. Let p be b(-19). Let x(r) = -10*r + 2. Let f(g) = -g. Give p*x(w) - 3*f(w).
-7*w + 2
Let c(n) = n**3 - n**2 - n. Let x(y) = 8*y**3 - 2*y**2 - 2*y - 10. Calculate 2*c(g) - x(g).
-6*g**3 + 10
Let r(v) = 5*v - 7. Let u(a
|
{
"pile_set_name": "DM Mathematics"
}
|
568?
7
What is the thousands digit of 4039367?
9
What is the millions digit of 3220524?
3
What is the millions digit of 2456890?
2
What is the thousands digit of 10092184?
2
What is the thousands digit of 614613?
4
What is the hundred thousands digit of 708017?
7
What is the thousands digit of 10588909?
8
What is the tens digit of 224748?
4
What is the thousands digit of 557146?
7
What is the hundreds digit of 1386732?
7
What is the units digit of 10576224?
4
What is the hundred thousands digit of 200306?
2
What is the ten thousands digit of 3760489?
6
What is the hundred thousands digit of 226266?
2
What is the ten thousands digit of 25653?
2
What is the hundreds digit of 38735275?
2
What is the ten thousands digit of 114706?
1
What is the units digit of 200556?
6
What is the units digit of 402959?
9
What is the units digit of 778145?
5
What is the tens digit of 150780?
8
What is the hundreds digit of 602768?
7
What is the tens digit of 5957301?
0
What is the units digit of 149228?
8
What is the millions digit of 1563213?
1
What is the thousands digit of 321241?
1
What is the hundreds digit of 28650430?
4
What is the tens digit of 568734?
3
What is the tens digit of 92415?
1
What is the thousands digit of 16630336?
0
What is the ten thousands digit of 826933?
2
What is the hundreds digit of 13191710?
7
What is the ten thousands digit of 40150?
4
What is the hundreds digit of 3966269?
2
What is the hundred thousands digit of 4082579?
0
What is the tens digit of 1959347?
4
What is the thousands digit of 419663?
9
What is the units digit of 4536124?
4
What is the units digit of 12864741?
1
What is the units digit of 69956?
6
What is the thousands digit of 80045?
0
What is the hundreds digit of 32302098?
0
What is the ten thousands digit of 164617?
6
What is the units digit of 207085?
5
What is the units digit of 331879?
9
What is the thousands digit of 838543?
8
What is the ten thousands digit of 819989?
1
What is the ten thousands digit of 5813550?
1
What is the hundreds digit of 5202537?
5
What is the hundred thousands digit of 945664?
9
What is the hundred thousands digit of 325905?
3
What is the units digit of 158071?
1
What is the hundreds digit of 150856?
8
What is the hundreds digit of 8754?
7
What is the units digit of 611403?
3
What is the millions digit of 15557302?
5
What is the tens digit of 6102552?
5
What is the tens digit of 335480?
8
What is the hundred thousands digit of 26846740?
8
What is the tens digit of 22219381?
8
What is the units digit of 3741959?
9
What is the hundreds digit of 577075?
0
What is the ten thousands digit of 120336?
2
What is the hundreds digit of 235971?
9
What is the hundreds digit of 2329908?
9
What is the ten thousands digit of 496928?
9
What is the ten thousands digit of 395542?
9
What is the units digit of 340043?
3
What is the ten thousands digit of 3436932?
3
What is the tens digit of 7922027?
2
What is the units digit of 36512560?
0
What is the thousands digit of 5223681?
3
What is the units digit of 12526110?
0
What is the thousands digit of 193943?
3
What is the units digit of 186465?
5
What is the thousands digit of 870985?
0
What is the units digit of 531217?
7
What is the ten thousands digit of 361553?
6
What is the tens digit of 3713745?
4
What is the thousands digit of 623070?
3
What is the tens digit of 6262001?
0
What is the ten thousands digit of 275850?
7
What is the hundreds digit of 21806?
8
What is the ten thousands digit of 16748571?
4
What is the thousands digit of 755857?
5
What is the hundred thousands digit of 226590?
2
What is the hundreds digit of 153597?
5
What is the hundred thousands digit of 1875969?
8
What is the tens digit of 4913531?
3
What is the tens digit of 91493?
9
What is the millions digit of 3826038?
3
What is the hundred thousands digit of 1932930?
9
What is the tens digit of 4551088?
8
What is the tens digit of 1834793?
9
What is the hundreds digit of 336156?
1
What is the tens digit of 227705?
0
What is the ten millions digit of 14952579?
1
What is the units digit of 145208?
8
What is the thousands digit of 379799?
9
What is the tens digit of 8587?
8
What is the thousands digit of 543537?
3
What is the ten thousands digit of 4352031?
5
What is the hundreds digit of 89942?
9
What is the tens digit of 276308?
0
What is the hundred thousands digit of 141168?
1
What is the millions digit of 1302989?
1
What is the thousands digit of 83276?
3
What is the units digit of 263891?
1
What is the ten thousands digit of 25191923?
9
What is the hundred thousands digit of 1012653?
0
What is the ten thousands digit of 8530001?
3
What is the units digit of 34715055?
5
What is the hundred thousands digit of 18141087?
1
What is the millions digit of 13345818?
3
What is the ten thousands digit of 286809?
8
What is the hundred thousands digit of 235172?
2
What is the units digit of 204087?
7
What is the ten thousands digit of 718649?
1
What is the thousands digit of 7928177?
8
What is the units digit of 1467625?
5
What is the thousands digit of 8794?
8
What is the hundreds digit of 11919426?
4
What is the ten thousands digit of 695235?
9
What is the tens digit of 862665?
6
What is the hundreds digit of 177291?
2
What is the hundreds digit of 301918?
9
What is the thousands digit of 110429?
0
What is the hundreds digit of 1828757?
7
What is the units digit of 129935?
5
What is the tens digit of 263574?
7
What is the thousands digit of 1573161?
3
What is the units digit of 267261?
1
What is the units digit of 47557?
7
What is the ten thousands digit of 658083?
5
What is the hundreds digit of 36217347?
3
What is the hundred thousands digit of 190927?
1
What is the hundreds digit of 24639152?
1
What is the millions digit of 1045208?
1
What is the ten thousands digit of 161345?
6
What is the tens digit of 511381?
8
What is the units digit of 4695268?
8
What is the ten thousands digit of 250271?
5
What is the ten thousands digit of 477093?
7
What is the ten thousands digit of 607836?
0
What is the hundreds digit of 1721649?
6
What is the hundred thousands digit of 213849?
2
What is the thousands digit of 415281?
5
What is the units digit of 300091?
1
What is the hundred thousands digit of 1248986?
2
What is the thousands digit of 9406600?
6
What is the hundreds digit of 1527635?
6
What is the thousands digit of 3123769?
3
What is the ten thousands digit of 149031?
4
What is the tens digit of 127855?
5
What is the units digit of 1725593?
3
What is the tens digit of 2634882?
8
What is the hundred thousands digit of 115473?
1
What is the units digit of 1112589?
9
What is the hundred thousands digit of 17182938?
1
What is the millions digit of 1032850?
1
What is the hundred thousands digit of 2453235?
4
What is the hundred thousands digit of 4666100?
6
What is the tens digit of 5694829?
2
What is the hundreds digit of 3803013?
0
What is the thousands digit of 509802?
9
What is the tens digit of 442803?
0
What is the units digit of 92076?
6
What is the hundreds digit of 127232?
2
What is the hundred thousands digit of 4679889?
6
What is the units digit of 805297?
7
What is the ten millions digit of 18588895?
1
What is the millions digit of 2072408?
2
What is the thousands digit of 5687183?
7
What is the ten millions digit of 15669565?
1
What is the ten thousands digit of 24276812?
7
What is the tens digit of 9033183?
8
What is the tens digit of 22969?
6
What is the units digit of 114662?
2
What is the tens digit of 605260?
6
What is the hundreds digit of 992104?
1
What is the ten thousands digit of 3514740?
1
What is the hundred thousands digit of 743285?
7
What is the units digit of 353698?
8
What is the units digit of 652960?
0
What is the thousands digit of 6364031?
4
What is the units digit of 7552510?
0
What is the hundred thousands digit of 449768?
4
What is the thousands digit of 52002?
2
What is the ten millions digit of 14070531?
1
What is the units digit of 256506?
6
What is the thousands digit of 43575?
3
What is the units digit of 2246355?
5
What is the hundred thousands digit of 834813?
8
What is the ten thousands digit of 23147448?
4
What is the tens digit of 277505?
0
What is the hundred thousands digit of 381597?
3
What is the thousands digit of 12839595?
9
What is the
|
{
"pile_set_name": "DM Mathematics"
}
|
multiple of 68?
True
Is 172319070 a multiple of 76?
False
Is 43008027 a multiple of 145?
False
Is 280 a factor of 85164569?
False
Is 94 a factor of 37192510?
True
Is 218 a factor of 2966318067?
False
Is 46433303 a multiple of 5107?
False
Does 11 divide 9102116?
False
Is 277344030 a multiple of 50?
False
Is 128310956 a multiple of 124?
False
Is 61 a factor of 31763088?
False
Does 170 divide 659260?
True
Is 11 a factor of 654948855?
True
Does 131 divide 8379546?
True
Is 54013880 a multiple of 3160?
True
Does 7 divide 40305300?
True
Is 1156403921 a multiple of 98?
False
Is 142861596 a multiple of 3228?
True
Is 5 a factor of 86712397?
False
Is 2962381 a multiple of 173?
False
Does 82 divide 1647298574?
True
Is 103382348 a multiple of 2413?
False
Is 382 a factor of 132971649?
False
Is 986 a factor of 23414705?
False
Is 463 a factor of 114808721?
True
Does 13655 divide 3484701380?
True
Is 5 a factor of 10351415?
True
Is 583144210 a multiple of 13?
False
Does 94 divide 91790718?
True
Does 64 divide 287610589?
False
Is 2202945 a multiple of 39?
False
Is 433584032 a multiple of 112?
True
Is 56253764 a multiple of 28?
True
Is 6988834 a multiple of 21?
False
Is 528 a factor of 42889968?
True
Is 1312 a factor of 936985792?
True
Does 74 divide 7856549734?
True
Does 1419 divide 10375275?
False
Is 236 a factor of 76589651?
False
Is 34 a factor of 1058411025?
False
Is 288 a factor of 8666208?
True
Is 95 a factor of 1135593989?
False
Is 19 a factor of 28869274?
False
Is 17091760 a multiple of 184?
True
Does 159 divide 90448352?
False
Does 1072 divide 1381811001?
False
Does 42 divide 1111605080?
False
Is 9 a factor of 29520621?
True
Is 12 a factor of 110262540?
True
Does 8 divide 5572564?
False
Is 45 a factor of 52661520?
True
Does 2 divide 104920762?
True
Does 27 divide 67063896?
True
Is 105 a factor of 13559616?
False
Is 3246247320 a multiple of 642?
True
Is 58 a factor of 1068802624?
False
Does 25 divide 456353650?
True
Does 229 divide 53545696?
True
Is 33 a factor of 181371975?
False
Does 8 divide 2860376785?
False
Is 113652585 a multiple of 2655?
True
Does 50 divide 273529050?
True
Is 2397 a factor of 808160567?
False
Is 124 a factor of 1689654256?
True
Does 182 divide 148189132?
True
Is 84294570 a multiple of 2670?
True
Does 4 divide 6892468?
True
Is 316197263 a multiple of 3011?
False
Does 1219 divide 558337883?
False
Is 14 a factor of 102741954?
True
Does 103 divide 1273557817?
True
Is 31 a factor of 1224869622?
False
Is 1875 a factor of 156991875?
True
Is 11 a factor of 55213378?
True
Does 3 divide 276602656?
False
Does 86 divide 212135337?
False
Is 1124 a factor of 53080120?
False
Is 4442932331 a multiple of 14645?
False
Does 583 divide 11517748?
True
Is 156628800 a multiple of 960?
True
Is 52 a factor of 44123196?
True
Does 3570 divide 133464450?
True
Is 44 a factor of 833580?
True
Does 1218 divide 711791892?
True
Is 2 a factor of 125256?
True
Is 158 a factor of 129685630?
False
Does 158 divide 40475492?
True
Does 60 divide 57364380?
True
Is 1073068956 a multiple of 764?
False
Is 18 a factor of 8775098?
False
Is 11 a factor of 30229397?
True
Is 39906677 a multiple of 141?
False
Is 420165 a multiple of 102?
False
Is 68 a factor of 351287796?
True
Does 11 divide 448010977?
False
Is 24 a factor of 847711344?
True
Is 39 a factor of 3857723?
False
Does 3 divide 2706514?
False
Is 1240505340 a multiple of 12?
True
Is 2159 a factor of 859061782?
True
Is 33 a factor of 28166575?
False
Is 228 a factor of 1546806551?
False
Is 4066575 a multiple of 177?
True
Is 814122705 a multiple of 17?
False
Is 2392 a factor of 11588947?
False
Does 12 divide 31085472?
True
Does 29 divide 4593176542?
True
Is 101 a factor of 187921711?
True
Does 5208 divide 46976160?
True
Is 9617862 a multiple of 82?
True
Does 5524 divide 20438800?
True
Is 189718762 a multiple of 48?
False
Does 4116 divide 163710282?
False
Is 32778270 a multiple of 7?
True
Does 601 divide 245388300?
True
Is 88981434 a multiple of 391?
True
Is 20 a factor of 109600440?
True
Is 1606383565 a multiple of 8795?
False
Is 205031016 a multiple of 46?
True
Does 523 divide 253137995?
False
Is 2 a factor of 179730?
True
Is 1084695266 a multiple of 85?
False
Is 222430010 a multiple of 253?
True
Is 92 a factor of 253872344?
True
Does 7333 divide 1458665694?
True
Is 68 a factor of 105070458?
False
Is 592 a factor of 8849216?
True
Is 4060 a factor of 61266175?
False
Is 8618966 a multiple of 139?
False
Is 40 a factor of 672881232?
False
Is 1145205390 a multiple of 21?
True
Does 289 divide 21304851?
False
Does 294 divide 1163362060?
False
Is 26188272 a multiple of 363?
True
Is 698400027 a multiple of 9?
True
Is 1364 a factor of 9543908?
True
Does 189 divide 602229768?
False
Does 3 divide 20420843?
False
Is 323 a factor of 442199597?
True
Does 20 divide 2901450468?
False
Does 469 divide 111654879?
False
Is 6077788 a multiple of 5?
False
Does 2 divide 17186284?
True
Is 27 a factor of 11308316?
False
Is 31 a factor of 120091216?
False
Is 4811911362 a multiple of 1923?
True
Is 74214261 a multiple of 22?
False
Does 448 divide 311466176?
True
Is 1171878865 a multiple of 188?
False
Does 1774 divide 24584092?
True
Does 1106 divide 17587992?
False
Is 52802760 a multiple of 8?
True
Does 11 divide 36254409?
False
Does 85 divide 6942035?
True
Is 3849336 a multiple of 36?
True
Does 33 divide 11637845?
False
Is 1885 a factor of 1282412625?
True
Is 86 a factor of 255549504?
False
Is 202678935 a multiple of 70?
False
Does 6 divide 25549044?
True
Is 2 a factor of 222480140?
True
Does 3567 divide 193456245?
True
Is 126 a factor of 588596272?
False
Does 5306 divide 1463368270?
True
Is 324447055 a multiple of 5?
True
Is 418344081 a multiple of 61?
False
Does 9161 divide 1651462631?
True
Is 691184328 a multiple of 1684?
True
Is 39162158 a multiple of 3406?
False
Is 13 a factor of 31981846?
True
Is 1346 a factor of 196561889?
False
Is 194 a factor of 29540134?
False
Is 8 a factor of 67748572?
False
Is 217148796 a multiple of 276?
True
Does 1536 divide 51379200?
True
Is 15 a factor of 247111695?
True
Is 3108 a factor of 91424928?
True
Is 341 a factor of 39707862?
False
Does 17 divide 2149334543?
False
Is 27557254 a multiple of 79?
True
Is 18 a factor of 27895837?
False
Does 20 divide 143111672?
False
Is 5 a factor of 1343691360?
True
Is 10 a factor of 46354580?
True
Is 20126818 a multiple of 103?
True
Is 394 a factor of 386677510?
True
Does 45 divide 162967725?
True
Is 909 a factor of 145559988?
True
Is 4862063 a multiple of 7?
False
Does 57 divide 14166438?
True
Does 231 divide 433044381?
True
Is 342 a factor of 12490664?
False
Does 242 divide 69834337?
False
Does 12 divide 421471224?
True
Is 1059264 a multiple of 9?
True
Is 59 a factor of 169037048?
False
Is 33552523 a multiple of 152?
False
Is 252567504 a multiple of 42?
True
Is 25172064 a multiple of 4?
True
Does 30 divide 7776636?
False
Is 872 a factor of 162103397?
False
Is 722 a factor of 2103455487?
False
Is 32 a factor of 707275456?
True
Does 139 divide 18235827?
True
Is 41341232 a multiple of 9?
False
Does 499 divide 1455883004?
False
Does 100 divide 175125000?
True
Does 301 divide 1023099?
True
Does 617 divide 1230206576?
False
Does 736 divide 31900018?
False
Does 8196 divide 30860068?
False
Does 272 divide 210209760?
True
Is 156 a factor of 123848514?
False
Is 72929046 a multiple of 310?
False
Does 671 divide 361903850?
True
Is 61990280 a multiple of 22?
True
Does 344 divide 11784727?
False
Does 91 divide 8837376?
False
Does 4570 divide 1467060822?
False
Does 40 divide 47987926?
False
Is 274 a factor of 203832653?
False
Does 761 divide 48553322?
True
Is 16 a factor of 74467040?
True
Is 4268 a factor of 423799596?
True
Does 2 divide 22614744?
True
Does 14 divide 26793894?
False
Is 7 a factor of 339441297?
False
Is 31 a factor of 17042712?
False
Is 2381 a factor of 1634309752?
False
Does 381 divide 383914933?
False
Does 193 divide 7244983?
False
Does 13 divide 105179386?
True
Is 103899467 a multiple of 9?
False
Does 1372 divide 49054926?
False
Is 1221 a factor of 1471108419?
True
Is 946 a factor of 90714378?
False
Is 3777 a factor of 280435735?
False
Is 672553152 a multiple of 96?
True
Does 253 divide 8783654?
True
Is 5934279 a multiple of 177?
True
Is 77 a factor of 234966824?
False
|
{
"pile_set_name": "DM Mathematics"
}
|
, 5?
-0.2
What is the closest to -1.4 in -0.3, -2, 2?
-2
What is the closest to 0.3 in -6, 14, 3?
3
Which is the closest to 63? (a) -4 (b) -0.5 (c) -0.02
c
Which is the closest to -7? (a) -151 (b) -5 (c) 1/6
b
Which is the nearest to 3? (a) 0 (b) -0.5 (c) 1/5 (d) -4
c
What is the nearest to -1 in -0.2, 1.5, 4/5, 0.1?
-0.2
What is the closest to 0.1 in -0.1, -2/5, -15/2?
-0.1
Which is the nearest to 0.2? (a) 0.4 (b) 82.6 (c) -1
a
Which is the nearest to -0.2? (a) -6 (b) 2/11 (c) 5 (d) -2
b
What is the nearest to 0 in -70, 10, 2/3?
2/3
Which is the closest to -0.1? (a) 0.06 (b) -2/15 (c) 19 (d) -1
b
What is the closest to 0.15 in 0, -0.2, 1?
0
What is the closest to 0 in -2, 0.1, 5, 1/6?
0.1
Which is the nearest to 2? (a) -2 (b) -5 (c) -3/8 (d) -11
c
Which is the nearest to 2/7? (a) 1/2 (b) 1/70 (c) -5/12
a
Which is the closest to 0.2? (a) 3 (b) 0 (c) -4 (d) -1/3
b
What is the nearest to 0 in 242, -0.2, -1?
-0.2
Which is the closest to 1/2? (a) 5 (b) -271 (c) 1/6 (d) -0.1
c
Which is the nearest to -2? (a) -2/5 (b) -8/11 (c) 3 (d) -0.2
b
Which is the closest to 0.3? (a) -1/4 (b) 0.2 (c) 0 (d) -1/3
b
What is the nearest to -1/5 in 5, -1/2, 4.4, -2?
-1/2
What is the nearest to 0.1 in 3, 0, -1/8?
0
What is the closest to -2.2 in -3, -0.4, -0.1?
-3
What is the nearest to 0.22 in 2, 2/5, 21?
2/5
Which is the closest to -14.3? (a) 0.3 (b) -0.1 (c) -4
c
Which is the nearest to -0.06? (a) -8 (b) 3 (c) -4 (d) 7/3
d
What is the nearest to -2 in 2, 146, 2/5, -5?
2/5
What is the closest to 0.2 in -4, -1/9, 0.02, -1/2?
0.02
Which is the closest to 0.2? (a) 4 (b) 5 (c) -0.4
c
What is the nearest to -2 in -0.4, 1/2, -11, -0.1?
-0.4
What is the nearest to 2 in 4, 5, 227, 2?
2
What is the nearest to -2/3 in -0.3, -11, -1/2?
-1/2
Which is the nearest to -1/4? (a) -5 (b) -0.11 (c) -4
b
What is the nearest to 1 in 0.3, -59, -7/5?
0.3
Which is the nearest to 0? (a) 1/5 (b) 2/7 (c) -17
a
What is the closest to 0.111 in -5, 1/8, 4?
1/8
What is the nearest to 1 in -2/3, -3, 3/7, 56?
3/7
Which is the nearest to 1/4? (a) -4 (b) -0.3 (c) 0.3 (d) -0.4
c
What is the nearest to 1 in -6, -1, 0.04?
0.04
Which is the nearest to 0? (a) 1 (b) -471 (c) 2/7
c
What is the closest to -0.05 in 1, 6, -5?
1
What is the nearest to -2 in 5, 19/2, 3, 0.1?
0.1
What is the closest to 3 in -0.2, 1, -0.009?
1
What is the nearest to 0.1 in -162, 0.5, 0.4?
0.4
Which is the nearest to -3? (a) -2/9 (b) 1/4 (c) -12
a
Which is the nearest to 8? (a) -5 (b) 3 (c) 2/5
b
What is the nearest to -0.11 in 0.1, -1/6, 2?
-1/6
What is the closest to -2 in -18, 11, -5?
-5
What is the closest to 0 in 0.1, 1/29, 4, -2?
1/29
Which is the closest to -4/7? (a) 0.2 (b) -5 (c) 2 (d) 0.5
a
Which is the closest to 0? (a) -442 (b) 3/5 (c) -0.5
c
What is the nearest to -8 in -2/3, 1/2, 18?
-2/3
What is the closest to -2 in 1, -3, 5, -0.1?
-3
Which is the nearest to -3? (a) -1 (b) -19 (c) -2 (d) 4
c
What is the closest to -1/4 in 2, -3, -20?
2
Which is the nearest to 2? (a) -3 (b) 0 (c) 0.6 (d) 0.3
c
What is the nearest to 6/5 in -4, -1/2, -1/3?
-1/3
What is the closest to 0.5 in 2/7, 3, 14?
2/7
What is the nearest to 1 in 6, -3/7, -0.3, 3?
-0.3
Which is the nearest to -52? (a) -4 (b) -0.24 (c) 3
a
Which is the closest to -1/6? (a) 0.2 (b) -14 (c) 3
a
What is the nearest to -0.2 in 0.02, 2/7, -7/5?
0.02
Which is the closest to -1/3? (a) 12 (b) 1/4 (c) -3/4
c
What is the closest to 27 in 1/5, -4, 5, -3?
5
What is the closest to -0.11 in -0.18, -1, 5/6?
-0.18
What is the closest to -2/5 in -4/7, 2/9, -0.4, -3/8?
-0.4
What is the nearest to 1 in 1/36, 1/4, -5?
1/4
Which is the nearest to -0.1? (a) 12 (b) 1/4 (c) -2/5 (d) 4
c
What is the closest to 1 in -5, -0.2, 2, -16?
2
Which is the nearest to 2/5? (a) -17 (b) -5 (c) -4/7
c
What is the closest to -0.056 in 2, 2/5, 3/4?
2/5
Which is the nearest to -1/4? (a) 6 (b) 0 (c) 4/7
b
What is the nearest to -2/7 in -0.9, 23, 0.2?
0.2
Which is the closest to -1? (a) 1/7 (b) -0.06 (c) 1
b
What is the nearest to 1 in -0.5, 1, 0.2, 0.072?
1
Which is the nearest to -8? (a) 4 (b) -0.5 (c) 1/5 (d) -3
d
What is the nearest to -2 in -21, -5/6, 2, -5?
-5/6
What is the closest to -0.2 in -0.04, 40.6, -1?
-0.04
Which is the closest to 1/3? (a) -6 (b) -2/11 (c) -0.3
b
Which is the nearest to -1? (a) 4 (b) 2.93 (c) 2/13
c
What is the closest to 2/5 in -0.5, -2, -6?
-0.5
Which is the closest to -1? (a) -1.3 (b) -9 (c) -0.1 (d) 0.2
a
Which is the closest to 0? (a) 3 (b) 9 (c) -0.06
c
Which is the closest to -2/9? (a) 3 (b) 1.1 (c) 1
c
What is the nearest to 0.2 in 2/17, -4, 0.4, 0.27?
0.27
Which is the nearest to 0.03? (a) -4 (b) 27 (c) 3 (d) 1/9
d
Which is the closest to 2? (a) -3/2 (b) -0.08 (c) -47
b
What is the nearest to 1/2 in -3, -11.7, 1.5?
1.5
Which is the closest to -1? (a) 0 (b) 7 (c) 0.1
a
Which is the closest to 0.1? (a) 1/2 (b) 0 (c) 4 (d) -1/2
b
What is the nearest to -12/41 in 2/11, -2/5, -3/7?
-2/5
Which is the nearest to -1? (a) 6/5 (b) -5 (c) -4/7 (d) -2
c
What is the nearest to 2 in 23, -2/11, -0.9?
-2/11
What is the nearest to 1 in -4, 2, 3?
2
Which is the closest to 0.1? (a) 1838 (b) -1 (c) 1 (d) 3
c
What is the closest to 9 in -1, 2, 5?
5
What is the closest to 0.1 in -137, -3/2, 0.4?
0.4
What is the closest to -2/3 in 2, 0.4, 4/7, -2?
0.4
What is the nearest to -0.07 in -0.001, -2/5, -3?
-0.001
Which is the nearest to -1? (a) -2/9 (b) -4 (c) 1/2 (d) 54
a
What is the nearest to 1/2 in -5, 548/5, 0?
0
What is the closest to 0.12 in 2, 72/5, -0.1?
-0.1
What is the nearest to 4 in 0, 2, 1/2, -0.08?
2
What is the nearest to 0.1 in 13, -2/9, -2/13?
-2/13
Which is the closest to -4? (a) -0.5 (b) -5 (c) 0.3 (d) 4
b
What is the nearest to -0.2 in 4, -2/3, -398?
-2/3
What is the nearest to -0.1 in 3/5, -1/8, 0.3, 1?
-1/8
Which is the nearest to 0? (a) -2 (b) -2/185 (c) -20
b
What is the closest to -0.3 in 2/29, 1/2, 2?
2/29
Which is the nearest to -1? (a) 15 (b) -0.084 (c) 3/4
b
What is the closest to -1 in 0.1, 5, 2, -11/4?
0.1
What is the nearest to -7 in 2/5, -3, -8?
-8
Which is the closest to 1/3? (a) -2 (b) -0.2 (c) -4.1 (d) 0.6
d
What is the nearest to 1 in 3/5, -1005, -4?
3/5
What is the nearest to -5 in 0.4, 0.3, -1/3, 56?
-1/3
What is the nearest to 3/2 in -1.5, -2, 4?
4
Which is the nearest to 3/13? (a) -3 (b) 1 (c) 0.1 (d) -2/93
c
What is the nearest to -2 in -0.1, 16, -5, -1/6?
-1/6
What is the nearest to -0.1 in -1, -0.4, -0.5, -503?
-0.4
What is the closest to 0.17 in -7, 0.3, 3?
0.3
What is the nearest to 1 in -0.5, 209, -2/3?
-0.5
What is the nearest to 0.025 in -3/7, -2/9, 2?
-2/9
What is the nearest to -1 in 4.4, -3, 1/3, -2?
-2
Which is the closest to 1? (a) 4 (b) 13/4 (c) -2/5 (d) 3/5
d
Which is the nearest to 2/5? (a) -2/15 (b) 5 (c) -1/6 (d) 330/7
a
What is the nearest to -8 in 0.3, -4, 2/9, -0.4?
-4
Which is the nearest to -1? (a) -0.1 (b) 5.51 (c) -3
a
Which is the nearest to -0.16? (a) -0.4 (b) -3 (c) 15 (d) -5
a
Which is the closest to -29? (a) -1/5 (b) -2 (c) -6/5
b
What is the nearest to -2 in 2/7, -1, 7?
-1
What is the closest to 1/3 in 1/91, 1, -3?
1/91
What is the nearest to -1 in 0.04, -0.11, -1/5?
-1/5
Which is the nearest to 0? (a) 0.4 (b) -0.1 (c) -1/4 (d) 3
b
What is the closest to -0.1 in 4/17, -2/7, 2, 0.02?
0.02
What is the closest to -2/3 in -3, 1, 0.5?
0.5
Which is the nearest to -0.07? (a) 4 (b) -4 (c) -1.2 (d) -3/7
d
What is the closest to -1/4 in 2, -2/9, -1/30, 0.5?
-2/9
What is the closest to -7.5 in 0.5, -0.5, -8, 5?
-8
What is the nearest to -0.2 in -0.5, 0.5, -5, 3?
-0.5
Which is the closest to 1/3? (a) -14 (b) -15/22 (c) 1/2
c
Which is the closest to 0? (a) -1 (b) -1/3 (c) 2 (d) 2/9
d
What is the nearest to 1 in -5, 0.2, -4, -3/2?
0.2
What is the nearest to 5/4 in -4/9, 2/13, -17, 0.1?
2/13
What is the closest to 5 in 102, -2, 2/5, 0?
2/5
What is the nearest to -0.1 in 3/4, 0.15, 1, -4?
0.15
Which is the nearest to -0.3? (a) -0.4 (b) 0.1 (c) 4/13
a
Which is the nearest to 1? (a) -3 (b) 0 (c) 1/4 (d) -2/63
c
What is the closest to 3 in -3/4, -2/3, -1, -1.5?
-2/3
What is the closest to -241 in 2, -3, -1?
-3
Which is the near
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 0.050583. What is m rounded to 3 decimal places?
-0.045
Let f = 16226 + -16226.00000036724. Round f to seven dps.
-0.0000004
Let y = -133789 + 133788.9914367. What is y rounded to 4 dps?
-0.0086
Let n = 2376 + -2375.99999997076. Round n to seven dps.
0
Let d = 0.42297043 + -3496.52941043. Let r = 3496 + d. Let x = r + 0.107. Round x to 4 dps.
0.0006
Let b = -139.5 + 138.9261. Let m = 0.1029 + b. What is m rounded to one decimal place?
-0.5
Let d = 595 + -418. Let r = -176.999716 + d. Round r to five decimal places.
0.00028
Let h = 3848 + -6406. What is h rounded to the nearest one hundred?
-2600
Let q = -86128.3 + 79014. Round q to the nearest 1000.
-7000
Let d = -195.5017 + -0.1383. Round d to zero decimal places.
-196
Let f(a) = 14*a**3 + a**2. Let h be f(1). Let t = 17 - h. Suppose -41788 + 5188 = -t*d. What is d rounded to the nearest one thousand?
18000
Let f = -1338 - -1343.958. Let r = 10.15 - f. Round r to zero dps.
4
Suppose -2*q = -2652*n + 2650*n - 4323616, 12970760 = -6*n - 5*q. Round n to the nearest one hundred thousand.
-2200000
Let c(q) = 2789980*q + 20. Let u(v) = v - 1. Let b(i) = c(i) + 24*u(i). Let r be b(1). Round r to the nearest one million.
3000000
Let f = 25139.5 - 11439.3. Round f to the nearest 100.
13700
Let t = -12 - -12. Suppose t = h - 7*h + 36. Let p be h/3 - 205 - -3. Round p to the nearest 1000.
0
Suppose 39*h = -13*h - 468. Let y = h + -97. What is y rounded to the nearest one hundred?
-100
Suppose 2676*y = 2665*y + 41690000. What is y rounded to the nearest 1000000?
4000000
Let b = 3713.4085 - 3713. Round b to 1 dp.
0.4
Let w = 5.9 - 6.475. Let k = -0.71 - w. Round k to 1 dp.
-0.1
Let b be ((-18093912)/32)/(-29)*4. What is b rounded to the nearest 1000?
78000
Let u = -90 + 39. Let f = -733163273 - -733163222.0000019. Let n = f - u. What is n rounded to 6 dps?
0.000002
Let y = 57850 - 57851.43565. Let q = -45.47 + 46.9. Let x = y + q. What is x rounded to three decimal places?
-0.006
Suppose -2*n = o - 1052992, -4*n + 1352133 = o + 299149. Suppose 0 = -27*q + 26*q + 2. Suppose -m - q*m = o. Round m to the nearest 10000.
-350000
Let q = 1.557 + -1.55102. What is q rounded to 3 decimal places?
0.006
Let x = -380.6 + -52.4. Let t = 513.2 + x. Let g = 70 - t. What is g rounded to 0 dps?
-10
Let l(z) = -9*z**3 - 9*z**2 - 41*z - 623. Let m be l(-12). What is m rounded to the nearest one thousand?
14000
Let s = -75.0528 + 75. Let u = 48.2472 - s. Let p = -48.29999407 + u. What is p rounded to seven decimal places?
0.0000059
Let d = 4799 - 2449. Let b = d + -2287.26. What is b rounded to the nearest integer?
63
Let y = 2911.506 + -2916. Let i = -3.187 - y. Round i to one dp.
1.3
Let u be -2745005 + (4 - 84/16)*-4. Round u to the nearest 1000000.
-3000000
Let h = -14378 - -14435.872. What is h rounded to the nearest ten?
60
Suppose 2*t - 114600037 = -4*r + t, -t - 3 = 0. Suppose 3*d + r = -2*d + 5*o, -3*o = -6. Round d to the nearest 1000000.
-6000000
Let a(m) = m**3 - 2*m**2 + 4*m - 2. Let k = 98 - 96. Let b be a(k). Let g be b/((-6)/(-2)) + 0 + 6198. Round g to the nearest one thousand.
6000
Let u = 2598701.3473 - -32295.7127. Let y = -2630787.0599713 + u. Let p = y - 210. What is p rounded to 6 decimal places?
0.000029
Let k = 22476 - 37934. Let r be (2/(-7) + k/42)*6. What is r rounded to the nearest one hundred?
-2200
Let h = -32 - -46. Let a = h + -73. Let c = a - -58.65. Round c to one dp.
-0.4
Let y = -62564.962 + 62834. Let z = -4.262 - y. What is z rounded to the nearest 10?
-270
Let f = 44958775 - 83572775. What is f rounded to the nearest 100000?
-38600000
Let i = 5305 + -5304.956464. Round i to 3 dps.
0.044
Let n = 17.479 + 0.121. Let f = n - 17.808. What is f rounded to one decimal place?
-0.2
Suppose -17*h + 23803632 = 424765632. What is h rounded to the nearest 1000000?
-24000000
Let h = 4395.095 - 4325. Let z = h + -0.695. Round z to the nearest ten.
70
Let l = -345738241210.000000482 + 345738240696. Let k = -514 - l. Round k to 7 decimal places.
0.0000005
Let o = -1.464 + 0.294. Let v = 1.16999493 + o. Round v to 6 decimal places.
-0.000005
Let z = -5836272807.0000087 + 5836272477. Let s = z - -330. Round s to five dps.
-0.00001
Let d = 5673 + -5673.11273. Round d to 2 decimal places.
-0.11
Let x = 19931860 - -689769. Let j = x + -74721629. What is j rounded to the nearest 1000000?
-54000000
Let a = 0.05 + -0.04. Let l = 166.98 + -167. Let y = a + l. What is y rounded to three dps?
-0.01
Let g = -490.3566 + 1293.438. Let w = -691 + -112. Let b = w + g. Round b to 2 decimal places.
0.08
Let k = -101 - -57. Let h = k - -44.041. Let i = h + -0.0428. Round i to 3 dps.
-0.002
Let w be 1*15/5 + -1*33. Let a be (-6)/(w/5) + 16. Round a to 0 decimal places.
17
Let a = 12326.99988182 - 12327. What is a rounded to five decimal places?
-0.00012
Let d = 2727 - 2727.000002734. What is d rounded to seven decimal places?
-0.0000027
Let o = 600.2 + -600.2002889. What is o rounded to four decimal places?
-0.0003
Suppose 24189 = -20*o + 17*o. Round o to the nearest 1000.
-8000
Let o = 14.9 + 5.3. Let w = o - 18.22. Round w to 1 decimal place.
2
Suppose -5*u + m - 47 = 5*m, 4*u = 3*m - 19. Let n be ((-62734)/(-4))/u - 1/(-2). What is n rounded to the nearest 1000?
-2000
Let i = -200963039 + 97133039. Round i to the nearest 1000000.
-104000000
Let o = 37.179402 - 37.18. What is o rounded to 4 decimal places?
-0.0006
Let k = 2801 + -2918.865. Let n = -118 - k. Let g = n + 11.935. Round g to the nearest 10.
10
Let m = -847.718 + 161.388. What is m rounded to the nearest integer?
-686
Let v = 2151 - 2241.92. Let m = v + 0.12. Round m to the nearest ten.
-90
Let l be (-10)/4 + ((-224879928)/(-16) - (-5 - 2)). What is l rounded to the nearest one hundred thousand?
14100000
Let s = -255.4856 - -0.0856. Let r = 255.3997694 + s. What is r rounded to 5 dps?
-0.00023
Let j = 47.923 + -45.9549. What is j rounded to 2 dps?
1.97
Suppose 0 = 10*p - 2*p + 728. Let f = p + 51. What is f rounded to the nearest one hundred?
0
Let r = 1252.999993516 - 1253. Round r to seven dps.
-0.0000065
Suppose 3*w - 2*w - 2*d = 10961, -3*d + 12 = 0. Let h(a) = 12 + w*a**3 + 9 + 2*a**2 - 2. Let k be h(11). Round k to the nearest 1000000.
15000000
Let w be -31199 + (-16)/(-4) - 3. Let t be 14/35 - w/5. Suppose 10*h + t = 14*h. Round h to the nearest 100.
1600
Let a = -111 - -114. Let c = -2.635 + a. Let r = c - 0.365554. What is r rounded to 4 dps?
-0.0006
Let y = 17624.0280355 - 17624. Let w = -0.028 + y. Round w to 5 decimal places.
0.00004
Let w = 474.2 - 432. Let b = -42.177 + w. What is b rounded to three dps?
0.023
Let v be (5 + -13)/2 - 8. Let b = v + 14. Suppose -b*p = 282597 + 85403. Round p to the nearest 10000.
-180000
Let j = -42436 + -24773. Round j to the nearest ten thousand.
-70000
Suppose -5*m + 1385 - 15790 = 4*z, -3*z + 4*m - 10827 = 0. Let k = z - -197. Round k to the nearest 1000.
-3000
Let o(t) = 1 + 380*t**2 - 3*t + 405*t**2 + 6*t - 6 + t. Suppose 5*c - 5 = -0. Let j be o(c). Round j to the nearest 100.
800
Let l = -4331245681.9999811 + 4331245261. Let i = -15 + -406. Let v = l - i. Round v to six decimal places.
0.000019
Let z be (-9)/(-1) + 26 + -31. Suppose 4*r = -d + 294400004, -z*r - 138939285 + 433339281 = -d. What is r rounded to the nearest one million?
74000000
Let d = 271356504.51999722 - 271356508. Let a = 3.48 + d. Round a to seven decimal places.
-0.0000028
Suppose 36*n - 35*n - j + 186123004 = 0, -5*j - 930614980 = 5*n. What is n rounded to the nearest one million?
-186000000
Suppose -39*t + 18 = -41*t. Let p be (480/t + 10)*(-3 + 0). Round p to the nearest one thousand.
0
Let k = -2.0424 - -7.131. Round k to two decimal places.
5.09
Let n = 0.2743 - -0.0187. Let k = n + -0.292936. Round k to five decimal places.
0.00006
Let d = -701.298655989 - -84.298650979. Let g = d + 617. What is g rounded to six dps?
-0.000005
Let g = -0.38925 - 20320.61075. Let r = 20320.65019 + g. Let t = r - -0.348. What is t rounded to four dps?
-0.0018
Let h = 483.4 + 140.6. Let z = h + -624.00001215. What is z rounded to seven dps?
-0.0000122
Let h be 15/(-2) + 0 - 161/322. Let z(l) = -25483*l + 1. Let p be z(-1). Let j be -4 + p/h*-248. What is j rounded to the nearest one hundred thousand?
800000
Suppose 2*m = -g - 7*m - 3771209,
|
{
"pile_set_name": "DM Mathematics"
}
|
ions digit of 390163266?
0
What is the units digit of 2734043509?
9
What is the units digit of 8535625?
5
What is the ten thousands digit of 269598426?
9
What is the units digit of 459091576?
6
What is the hundreds digit of 118861705?
7
What is the hundred millions digit of 151381417?
1
What is the ten thousands digit of 539063395?
6
What is the ten thousands digit of 267239415?
3
What is the hundred thousands digit of 84554555?
5
What is the ten millions digit of 3787092557?
8
What is the hundred thousands digit of 139464252?
4
What is the ten millions digit of 84433061?
8
What is the ten thousands digit of 4962289973?
8
What is the units digit of 1066081199?
9
What is the hundreds digit of 93054388?
3
What is the tens digit of 197164196?
9
What is the hundreds digit of 690483576?
5
What is the hundreds digit of 3441546601?
6
What is the tens digit of 1926613467?
6
What is the ten thousands digit of 71595633?
9
What is the units digit of 118596752?
2
What is the ten thousands digit of 1208063662?
6
What is the hundred thousands digit of 3216444865?
4
What is the hundred millions digit of 1394548475?
3
What is the units digit of 13214822?
2
What is the tens digit of 1092418769?
6
What is the thousands digit of 48180823?
0
What is the ten thousands digit of 81933841?
3
What is the hundred thousands digit of 67636081?
6
What is the units digit of 37166121?
1
What is the hundred millions digit of 439830525?
4
What is the hundred thousands digit of 1729749704?
7
What is the hundreds digit of 40060462?
4
What is the thousands digit of 93426007?
6
What is the ten millions digit of 3720212450?
2
What is the units digit of 121948439?
9
What is the tens digit of 61254023?
2
What is the ten millions digit of 2318973027?
1
What is the hundreds digit of 110381232?
2
What is the ten thousands digit of 136284812?
8
What is the tens digit of 4102555627?
2
What is the hundred thousands digit of 4607192?
6
What is the hundred thousands digit of 25556410?
5
What is the hundred thousands digit of 27587381?
5
What is the hundred thousands digit of 4071514510?
5
What is the hundred millions digit of 838274667?
8
What is the hundred thousands digit of 249402234?
4
What is the units digit of 5355610?
0
What is the units digit of 7033943445?
5
What is the units digit of 249327015?
5
What is the ten millions digit of 1777066684?
7
What is the ten millions digit of 155578883?
5
What is the hundred thousands digit of 1579881045?
8
What is the thousands digit of 190767740?
7
What is the ten thousands digit of 20899362?
9
What is the millions digit of 587747655?
7
What is the ten thousands digit of 4675866955?
6
What is the millions digit of 1109807986?
9
What is the ten thousands digit of 333698955?
9
What is the ten millions digit of 58551257?
5
What is the millions digit of 220568414?
0
What is the units digit of 793034818?
8
What is the millions digit of 758801696?
8
What is the ten thousands digit of 3749324440?
2
What is the hundred thousands digit of 664182359?
1
What is the hundreds digit of 525645753?
7
What is the ten millions digit of 341485847?
4
What is the units digit of 710857753?
3
What is the units digit of 28510214?
4
What is the millions digit of 44317587?
4
What is the tens digit of 134863894?
9
What is the millions digit of 262129405?
2
What is the ten thousands digit of 43724694?
2
What is the ten thousands digit of 464904618?
0
What is the thousands digit of 52354646?
4
What is the hundred thousands digit of 29949089?
9
What is the hundred millions digit of 422313833?
4
What is the millions digit of 82915210?
2
What is the hundred millions digit of 129452184?
1
What is the ten millions digit of 5650517672?
5
What is the hundred millions digit of 5071069344?
0
What is the ten millions digit of 286638262?
8
What is the hundreds digit of 6144206772?
7
What is the hundred thousands digit of 76629939?
6
What is the thousands digit of 27374857?
4
What is the thousands digit of 68284868?
4
What is the tens digit of 215852273?
7
What is the millions digit of 195052017?
5
What is the hundreds digit of 156262720?
7
What is the tens digit of 75011222?
2
What is the units digit of 198819960?
0
What is the thousands digit of 178883254?
3
What is the millions digit of 2687838984?
7
What is the millions digit of 24673039?
4
What is the ten millions digit of 43440716?
4
What is the hundred millions digit of 154874227?
1
What is the units digit of 358246551?
1
What is the ten millions digit of 642474261?
4
What is the millions digit of 802048785?
2
What is the hundred millions digit of 2409450594?
4
What is the hundreds digit of 3954848510?
5
What is the thousands digit of 681903504?
3
What is the ten thousands digit of 538687913?
8
What is the hundred thousands digit of 435206924?
2
What is the ten millions digit of 4532999529?
3
What is the thousands digit of 1591886809?
6
What is the tens digit of 1206732983?
8
What is the tens digit of 46084063?
6
What is the thousands digit of 5135765380?
5
What is the units digit of 1698981780?
0
What is the hundreds digit of 7878525053?
0
What is the ten thousands digit of 45244948?
4
What is the millions digit of 1063435106?
3
What is the hundred thousands digit of 19057661?
0
What is the units digit of 778033314?
4
What is the ten thousands digit of 205494198?
9
What is the hundred thousands digit of 580438051?
4
What is the hundreds digit of 22843599?
5
What is the millions digit of 305313266?
5
What is the ten thousands digit of 129010278?
1
What is the ten thousands digit of 40058931?
5
What is the units digit of 1509994825?
5
What is the units digit of 466101046?
6
What is the hundred thousands digit of 208027067?
0
What is the millions digit of 330310522?
0
What is the units digit of 28663476?
6
What is the tens digit of 114879658?
5
What is the hundred millions digit of 922941280?
9
What is the thousands digit of 75289591?
9
What is the billions digit of 1421020949?
1
What is the ten thousands digit of 179740826?
4
What is the hundreds digit of 1429658496?
4
What is the thousands digit of 49448486?
8
What is the billions digit of 4652995858?
4
What is the billions digit of 9108169375?
9
What is the tens digit of 84679160?
6
What is the units digit of 78188313?
3
What is the tens digit of 207079203?
0
What is the thousands digit of 151063190?
3
What is the thousands digit of 9187936?
7
What is the hundred millions digit of 903418222?
9
What is the units digit of 458078700?
0
What is the tens digit of 59809001?
0
What is the ten thousands digit of 18987459?
8
What is the thousands digit of 39423617?
3
What is the thousands digit of 244666893?
6
What is the tens digit of 294897152?
5
What is the units digit of 451606602?
2
What is the tens digit of 100928238?
3
What is the units digit of 281799103?
3
What is the billions digit of 1692849489?
1
What is the millions digit of 49518328?
9
What is the millions digit of 41474627?
1
What is the hundreds digit of 316597467?
4
What is the hundred millions digit of 5197559118?
1
What is the ten thousands digit of 884018625?
1
What is the tens digit of 19515974?
7
What is the hundreds digit of 7387276?
2
What is the ten millions digit of 4020455427?
2
What is the hundreds digit of 1671991406?
4
What is the hundreds digit of 1886480886?
8
What is the ten thousands digit of 526893761?
9
What is the hundred millions digit of 960296941?
9
What is the ten thousands digit of 1166188631?
8
What is the hundred millions digit of 170677359?
1
What is the millions digit of 746042031?
6
What is the hundred thousands digit of 49131061?
1
What is the ten thousands digit of 115285373?
8
What is the thousands digit of 26029106?
9
What is the tens digit of 8893833?
3
What is the tens digit of 834622819?
1
What is the ten thousands digit of 14970183?
7
What is the tens digit of 470204626?
2
What is the ten thousands digit of 376853867?
5
What is the ten thousands digit of 62464362?
6
What is the ten millions digit of 442217215?
4
What is the ten millions digit of 28905666?
2
What is the units digit of 88774204?
4
What is the ten millions digit of 1875465499?
7
What is the units digit of 175167261?
1
What is the ten millions digit of 1241331317?
4
What is the ten millions digit of 426123420?
2
W
|
{
"pile_set_name": "DM Mathematics"
}
|
ten millions digit of 65909445?
6
What is the hundred thousands digit of 218968922?
9
What is the millions digit of 309866148?
9
What is the ten thousands digit of 26953710?
5
What is the ten thousands digit of 171314807?
1
What is the ten thousands digit of 3532655434?
5
What is the billions digit of 7090799185?
7
What is the ten thousands digit of 27345967?
4
What is the ten millions digit of 26618913?
2
What is the millions digit of 71791996?
1
What is the hundred thousands digit of 41483566?
4
What is the ten millions digit of 108736625?
0
What is the millions digit of 177493881?
7
What is the units digit of 6784051918?
8
What is the hundred thousands digit of 3047715596?
7
What is the units digit of 675261951?
1
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4
What is the hundred millions digit of 129828336?
1
What is the hundred thousands digit of 132838400?
8
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1
What is the ten thousands digit of 3699642118?
4
What is the hundred thousands digit of 437249735?
2
What is the ten thousands digit of 5075590408?
9
What is the tens digit of 2945055340?
4
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1
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3
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6
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1
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3
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3
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0
What is the thousands digit of 94137162?
7
What is the ten millions digit of 1493275256?
9
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2
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5
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2
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0
What is the thousands digit of 689872917?
2
What is the ten millions digit of 1340664227?
4
What is the hundred thousands digit of 15375157?
3
What is the hundred millions digit of 438076521?
4
What is the hundred thousands digit of 2205519466?
5
What is the hundred millions digit of 326762151?
3
What is the hundred millions digit of 172429921?
1
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0
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5
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9
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8
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9
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3
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5
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1
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5
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6
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3
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4
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2
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0
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3
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6
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1
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3
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4
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5
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1
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6
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7
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2
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6
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5
What is the hundred millions digit of 154575870?
1
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2
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1
What is the tens digit of 169385392?
9
What is the hundred millions digit of 2786360718?
7
What is the hundred thousands digit of 122713879?
7
What is the hundred thousands digit of 1709855117?
8
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4
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0
What is the ten millions digit of 743348114?
4
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9
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4
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1
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0
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0
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5
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7
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4
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8
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2
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6
What is the thousands digit of 1256290404?
0
What is the tens digit of 286366439?
3
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0
What is the millions digit of 4742244359?
2
What is the ten millions digit of 1596551337?
9
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2
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7
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5
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4
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6
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0
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3
What is the millions digit of 31566933?
1
What is the ten millions digit of 122565192?
2
What is the hundred millions digit of 276942417?
2
What is the tens digit of 66660406?
0
What is the hundred thousands digit of 5646453307?
4
What is the hundred thousands digit of 2197829?
1
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7
What is the units digit of 81140907?
7
What is the hundreds digit of 17678526?
5
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0
What is the millions digit of 103012727?
3
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2
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8
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1
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1
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4
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4
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7
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1
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0
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1
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1
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1
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8
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5
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8
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9
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8
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1
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1
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4
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6
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0
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5
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1
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0
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1
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3
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3
What is the hundred millions digit of 193627922?
1
What is the hundreds digit of 284657707?
7
What is the ten thousands digit of 25803540?
0
What is the hundreds digit of 22505700?
7
What is the ten thousands digit of 411638124?
3
What is the thousands digit of 1245106782?
6
What is the ten millions digit of 219843379?
1
What is the hundred thousands digit of 41915670?
9
What is the thousands digit of 63261918?
1
What is the millions digit of 19091584?
9
What is the hundreds digit of 5608535316?
3
What is the tens digit of 116684350?
5
What is the thousands digit of 184999522?
9
What is the millions digit of 83217024?
3
What is the millions digit of 384343601?
4
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2
What is the hundred thousands digit of 1261936417?
9
What is the billions digit of 1710712494?
1
What is the billions digit of 1487129315?
1
What is the hundreds digit of 2202841901?
9
What is the hundred thousands digit of 32133217?
1
What is the hundred thousands digit of 61227605?
2
What is the tens digit of 54405719?
1
What is the hundreds digit of 14530259?
2
What is the tens digit of 2334750385?
8
What is the tens digit of 6323395?
9
What is the ten thousands digit of 1966131?
6
What is the thousands digit of 485144182?
4
What is the ten thousands digit of 1336478047?
7
What is the millions digit of 2958684657?
8
What is the hundreds digit of 295009506?
5
What is the billions digit of 2356306031?
2
What is the millions digit of 81587223?
1
What is the ten thousands digit of 1916232?
1
What is the hundred thousands digit of 203605343?
6
What is the ten thousands digit of 55698217?
9
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5
What is the units digit of 760311970?
0
What is the ten thousands digit of 164545988?
4
What is the
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{
"pile_set_name": "DM Mathematics"
}
|
15*k + 2 for c.
0
Solve -4*k + 68*l - 53 = 77*l, 3 = 4*k - l + 86 for k.
-20
Solve -4*x + 5*g = 90, 508*x = 498*x - 5*g + 90 for x.
0
Solve v = 3*z + 61, -1420 = -2*v + z - 1318 for v.
49
Solve -3*y - y + 21*p = -16*p + 34*p + 96, -5*y - 5*p + 125 = 0 for y.
-3
Solve 845*y - 137 = 2*a + 848*y, -23*y - 117 = 2*a for a.
-70
Solve -4*r - 2*p - 18 - 7 = 3, 18*p = 6*p - 24 for r.
-6
Solve -20*t + 2*v - 8 = -50, 191*t = 196*t + 2*v + 67 for t.
-1
Solve o - 3*z + 4 = 0, -5*o + 737*z = 1480*z - 745*z - 6 for o.
2
Solve 4402 = -4*z + 5*y + 4418, -4*z + 18*y = -16 for z.
4
Solve 59*w + 18 = 60*w + 2*v, -97*v = -2*w - 98*v + 15 for w.
4
Solve -4*o - v = 21, 0 = -2*o - 105*v + 89*v - 88 for o.
-4
Solve 0 = -4*o + 19*i - 25*i + 16, -i = 4*o - 6 for o.
1
Solve j = 27*p - 166, -115559*p = -115563*p + 2*j + 32 for p.
6
Solve -5*q - 8265*a + 8263*a = 19, 0 = -q - 12*a - 143 for q.
1
Solve 5*i - n = 47 - 0, -17*n - 439 + 270 = -22*i for i.
10
Solve -y - 283 + 345 = -t, t - 3*y + 196 = 0 for t.
5
Solve 5*i = 12*i + 14, 15*q + 108 = 7*q - 2*i for q.
-13
Solve 0*h = 4*h + 37*b - 32*b - 19, 5*h - 4 = 2*b - 5 for h.
1
Solve -4*f - 80 = -1605*x + 1602*x, 116 = 3*x + 5*f for x.
32
Solve -5*x - 128282 = 4*v - 128186, -3*x - 240 = 12*v for v.
-19
Solve 2247*q = -y + 2245*q + 13, -6*y + 2*q - 34 = 0 for y.
-3
Solve -130*j + 4*i + 108 = -62*j - 69*j, 351 = 2*j - 13*i for j.
0
Solve 0 = 3*c - 14*t + 499, -5*c - 1655 = t - 1675 for c.
-3
Solve f - 3715*m = -3718*m - 12, 7*m = -f for f.
-21
Solve -6*a = -2*a - 100*t + 104*t + 56 - 48, 0 = 4*a + 5*t - 9*t - 48 for a.
5
Solve 12395067 - 12395101 = 4*t + l, 2*l = 4*t - 8 for t.
-5
Solve -4*s + 49 = 3*q, 240*q - 235*q - s - 2*s = -15 for q.
3
Solve -11*q - w - 32 = 0, 0 = -2*q + 4*w - 7156 + 7284 for q.
0
Solve 77*c - 80*c = 27*z - 132, -4 = -4*z for c.
35
Solve -2*u - 4*h + 2 - 14 = -u, -7*u = 5*h + 435 - 420 for u.
0
Solve -7 = -4*o + 3*q + 45 - 5, 16*q + 21 = 23*q for o.
14
Solve -4*y + 20500 = -6*k + 20476, -5*y + 17 = -k for y.
3
Solve -j = -5*m + 103, -175 = -2*j - 5*m - 66 for j.
2
Solve 0 = 4*b + 5*o + 35 - 22 - 18, b + 3*o = 3 for b.
0
Solve 0 = c + 3*d + 19, -18*c - 452 = 18821*d - 18822*d for c.
-25
Solve -5*n = -46288*v + 46289*v - 22, 0 = n + 4*v + 7 for n.
5
Solve -w + 51*y = 3*w + 49*y - 8, 1563 = 1561*w - y for w.
1
Solve 5*f - 101 = 9*l, l - 35 = -1101*f + 546*f + 552*f for l.
-4
Solve 586971 = 9*r - h + 587363, -2*r + 3*h - 76 = 0 for r.
-44
Solve -2187*t - 9 = -2189*t - w, -5*t = -4*w + 10 for t.
2
Solve -5*r = -4*z + 10*r - 6*r - 13*r + 88, -z - 5*r + 22 = 0 for z.
22
Solve -11*z + 79 = -22*h - 6*z, -18 = 2*h - 2*z for h.
-2
Solve 2*h + 8*n - 196116 = -196352, 0 = -4*h - 4*n - 124 for h.
-2
Solve 31 = -t + 3*o - 0*o, 2*o = -4*t + 5*o - 115 for t.
-28
Solve 5*x + 27 - 3 = -41, x + 15*x + 103 + 107 = 2*w for w.
1
Solve -6961*i + 6966*i + 2*v = 2, 12 = -3*v for i.
2
Solve -24*f + 5*f + 15*f + 36 = -q, -3*q - 36 = -4*f + 2*q for f.
9
Solve 59*a + 26*a + 967 = 5*t - 1333, 0 = 3*t + 4*a + 105 for t.
1
Solve 0 = 5*f + 6*j - 8, 3*f + 4*j + 236 - 244 = -2*f + 3*f for f.
-2
Solve -d = -17*n + 13*n - 12, 0 = 2*d + 8*n - 3*n + 2 for d.
4
Solve -6*h - 138 = 0, -14494*h - 50 = -2*v - 14492*h for v.
2
Solve -3*i - 15 = -3023*f + 3027*f, 0 = -i + f - 5 for i.
-5
Solve -i = -m - 3, -591*m = 2*i - 573*m + 74 for i.
-1
Solve -10 = 5*c, 2*t - 5617*c + 5609*c = -6 for t.
-11
Solve 80*h + 79 = 3*s - 72*h + 154*h, -5*h + 131 = -3*s - h for s.
3
Solve 57 = 4*y - 4*i + 13, 1385*y - 76 = 1380*y + 8*i for y.
4
Solve 0*o - 2*o + 1238*l + 20 = 1240*l, o - 15*l + 22 = 0 for o.
8
Solve -8 - 10 - 5 = 5*h - 11*d - 17 + 7, 3*d = 5*h + 29 for h.
-7
Solve -q - 9 = -3*q - 5*b, 36*q - 6*b - 60 - 9 = -3*b for q.
2
Solve 0 = 8*w - 8*w - 8*w - 16, 3*y + 3*w = 7*w + 26 for y.
6
Solve -v = -78*h + 34*h + 44*h - 1, -4 = h - 4*v for h.
0
Solve 0 = 33*a - 165, -29 = -k + 17*a - 36*a + 13*a for k.
-1
Solve -14*x - 119*x - 276 = 5*z - 131*x, 5*x = -715 for z.
2
Solve 4*h - 5*t = -2, -2*t + 12855 - 12857 = h - 4*t for h.
2
Solve 12*c + 3*a + 11 - 28 - 16 = 2*a, -5*c - 4*a = 83 for c.
5
Solve 0 = o + 4*o + j - 0*j + 5 - 2, 3*o + 329*j + 2629 = 0 for o.
1
Solve -6*f + 233 = -5*g, -22*g - 19*g - f = -55*g + 15*g + 51 for g.
-49
Solve -3*o + 6*o + 0*n + n = 37, -3*o - 4*n + 32 = -71 for o.
5
Solve -45 = 8*n + 5*z - 70, -3*n - 9*n + 6*z = 3*z - 69 for n.
5
Solve 10*o + 141 = -56*i - 2791, 2*i + 108 = -2*o for i.
-52
Solve 3*k = -5*t, 718*t - 4*k - 29 = 715*t for t.
3
Solve 33 = -3*o - 21*x + 10 - 34, -3*o + 103 = -6*o + 2*x for o.
-33
Solve -6679 + 6742 = 5*k + 4*i, 3*i = -4*k + 50 for k.
11
Solve 2*w = -2*g + 6*g - 871798 + 871980, -g - 41 = 4*w for g.
-45
Solve 9*c + 3*g = -3*g - 69, 5*g = 3*c - 5 for c.
-5
Solve -5*z = -6*d + 207, z + 14*d + 99 = -7*d + 24*d for z.
-3
Solve -l - 2*u = -5*u + 7, 0 = -37*l + 43*l + 104*u - 241 - 83 for l.
2
Solve 3*c - v - 2877 + 2892 = 0, -3*c + 12*v - 15 = 0 for c.
-5
Solve 2*n + 5*n - 2*n - 12 = c + c, -5*c - 179 = 23*n - 149 for n.
0
Solve -4*q = 2*l + 6, -5*l + 20*q + 412 = -4*q + 359 for l.
1
Solve -2*m + 3*z + 77 = 0, -3*m - 13*z - 65 + 115 = -3*m + 63 for m.
37
Solve 4*d - 6*d + 3*p + 35 = 0, -4*p + 80 - 20 = 8*d for d.
10
Solve 4*l = -65*a + 63, 13243*a - 13239*a = -2*l - 54 for l.
-33
Solve 25*m - 2*i - 29 + 23 = 21*m, 0 = -5*m + 4*i + 3 for m.
3
Solve -v = 4*v + 4*p + 43, -8*v - p - 13 = -9*v for v.
1
Solve 0*n = 4*n + 32, 5123*j - 5127*j - 10*n - 12 = -7*n for j.
3
Solve -744*w + 759*w + 24 = -x, x - 4 = -w for x.
6
Solve -812*j + 5*z - 1082 = -1500*j + 827*j - 402, 3*z = 2*j - 4*j - 19 for j.
-5
Solve -2*g - 3*l = 70, -3*g = 229*l - 231*l - 38 for g.
-2
Solve -5*h + 23*y = 29*y - 8*y - 91, 23*h = -4*y + 379 for h.
17
Solve -15*b = -20*b + 2*r - 1, -b - 9*r = -13*r + 29 for b.
3
Solve 7389*a - 4*w + 7 = 7387*a + 2*w + 19, 0 = 3*a - 2*w - 18 for a.
6
Solve 0 = -j - 4*h + 9, j - 3*h = 2664 - 2648 for j.
13
Solve -62*z + j - 66 = 0, 3*z - 97*j = -95*j - 11 for z.
-1
Solve -2*r + 14 = 4*b, 652*b - 651*b - 2*r = -r + 2 for b.
3
Solve -93388*d + 93391*d - 4*o - 26 = 0, 2*d - 9*o - 30 = 0 for d.
6
Solve l = 4*i, 0*i + 0*i + 5*i + 67 = -0*i - 111*l + 129*l for i.
1
Solve 0*v - 22 = -31*s - 0*v + v - 269 + 20, 3*v = 5*s + 65 for s.
-7
Solve -18*f = 19*f - 34*f - 2*t + 3, -3*f - 2*t = -33 for f.
5
Solve 2*d = 25*o - 196, 941*d = 2*o + 942*d - 18 for o.
8
Solve 5*m - 6*g - 6 = 0, -2*m + 3*g + 6 = -m - 3*g for m.
0
Solve 9*h + 3*x + 8*x = 8*h + 6*x + 8, -3 = -2*h + 3*x for h.
3
Solve -17*s = 2*q + 1098, 686*s - 339*s + 197 = 344*s - q for s.
-64
Solve 3*c = -7*u + 15*u - 7*u + 44, 34*u + c - 156 = 37*u for u.
-53
Solve -3*o + 7*o = 6*d + 163 + 87, 0 = -11*o + 207*d - 203*d + 700 for o.
64
Solve 428*z + v = 437*z - v + 4, 4*z + 3*v = -29 for z.
-2
Solve 4*l - 132 = 20*v, 3*l - 3*v - 9425 = -9386 for l.
8
Solve -2*z = -3*r + 51, -286752*r - 12*z + 17 = -286753*r for r.
19
Solve 39128*h + 514 = i + 39096*h, 5*i = -5*h - 70 for i.
2
Solve 5*b = -5*x - 205, 2*b + 92 + 180 = -7*x for x.
-38
Solve 5*b + 0*b + 736*r - 52 = 732*r, -2*b = -19*r + 247 for b.
0
Solve u + 22 = 22*z - 6*z, 4*z = 20*u + 2*z + 122 for u.
-6
Solve 2*x + 47*v + 442 = 657 - 325, -10 = 2*x - 3*v for x.
-8
Solve 969*v - 953*v = -2*q - 10, 6*v = 4*q + 58 for q.
-13
Solve 5*x - 5*h = -45, -6699*h = -x - 6705*h - 44 for x.
-14
Solve -315571*n = -5*l - 315570*n - 2, 5*l = -3*n + 26 for l.
1
Solve 55 = 4*s + 3*y, -47521737*s - 7*y = -47521741*s - 75 for s.
4
Solve 242*d - 9 = 245*d, 4*d = -41*y - 422 for y.
-10
Solve 4*y - 23 = -o, 971227*o + 2 = 4*y + 971225*o for y.
4
Solve 22 = 5*l + t, -5*l - 88 = 50*t - 113*t + 59*t for l.
0
Solve 2*g + 12837*d = 12839*d + 12, -2*g - 3*d = 3 for g.
3
Solve -3482*k + 3487*k - 2*y - 105 = 0, -130 = -5*k - 3*y for k.
23
Solve 4*r + 45 = 3*x + 10*x, -15*x = 5*r - 16*x - 20 for r.
5
Solve -32*y + 128 = 0, -f + 3*y - 14 = -7*y + 4*y + 11 for f.
-1
Solve 5*x - 3*t - 44 = 0, 8*x - 191*t = -195*t + 88 for x.
10
Solve -14*d - 177 = -3*m, -2111757*m - 2*d - 12 = -2111753*m for m.
3
Solve 3*j + 3*g - 4180 = -4141, 0 = j + 2*g - 23 for j.
3
Solve 787*k + 68 = 786*k - 3*w, 0 = k - 4*w + 47 for k.
-59
Solve -1506*y + 1509*y = 17*s - 46, 0 = s - 2 for y.
-4
Solve -6*t + 31*t - 5*r = -t - 100, t + 3*r - 3 = 7*r + 16 for t.
-5
Solve -139*p - 5*
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 2)*(2 + f - 2) - f - f + 4*f)*(-4 + 2 + 4)*(3 - 1 + 3).
30*f
Expand (-3*p**2 - p**2 + 2*p**2)*(9*p - 20*p + 9*p - 1).
4*p**3 + 2*p**2
Expand (0*s**3 + 0*s**3 - s**3)*(3 + s - 3) + 160 - 160 - 6*s**4 + (-s**3 - s**3 + 0*s**3)*(0*s + 2*s - s).
-9*s**4
Expand (m**3 - 4*m**3 + 5*m**3)*(2*m + 4*m - 4*m) - 2*m**4 - 2*m**4 + 2*m**4 + 0*m**4 + 3*m**4 - 6*m**4 + (m - 2*m + 1 + 0)*(4*m**3 + 6*m**3 - 3*m**3).
-8*m**4 + 7*m**3
Expand (-3*c**2 - 7*c**3 - 3*c**3 + 8*c**3)*(3*c - c - 4*c) - 2*c**4 - c**4 + 2*c**4.
3*c**4 + 6*c**3
Expand 2*p - 2*p - p**4 - 7*p**2 + 5*p**2 + 6*p**2 - 51*p**4 + p**4 + 0*p**4 + 0*p**4 + (-2*p - 2*p + 6*p)*(-2*p + 2*p + p**3).
-49*p**4 + 4*p**2
Expand (-m + 5*m + m)*(0 + 6 - 4) - 4 - 9 + 1 - m.
9*m - 12
Expand (1 + 0 - 2)*(-j - 1 + 1) + 3*j + 9*j - 4*j - 2*j + 4*j - j + (-j + 3*j - j)*(-3 + 3 + 1).
11*j
Expand -215*d - 217*d + 648*d - 216*d + 3945*d**3 - d**3 - d**3 + 4*d**3 + (3*d - 4*d + 3*d)*(-2*d**2 + 2*d**2 + 2*d**2).
3951*d**3
Expand (-26*r - 1269 - 22*r + 1271)*(-5 + 4 - 3).
192*r - 8
Expand (121*c**2 + 274*c**2 - 45*c**2)*(c + 4*c - 3*c) + c**3 + 4*c**3 - 4*c**3 + 3 - 4 - 2*c**3 + 2.
699*c**3 + 1
Expand (-y + y - 2*y**2)*(-2 - 2*y + 2) + (-3*y**3 + 3*y**3 - 2*y**3)*(-13 - 44 - 2).
122*y**3
Expand (-3*y + 6*y - 2*y)*((y - y - 2*y)*(-1 - 2*y + 1) + 11 - 13*y**2 - 11).
-9*y**3
Expand (1 - 5 - 1)*(4*p + p + 0*p).
-25*p
Expand (0*p**2 - p**2 - p**2 + (4*p - 5*p + 2*p)*(0*p - 4*p + 5*p))*(6*p**2 - 6*p**2 - 6*p**3 + (-2*p**2 - 3*p**2 + 3*p**2)*(3 - 3 + 2*p) - 5 + 5 + 3*p**3).
7*p**5
Expand (-v + 3*v + 8*v)*(3*v**2 + 7*v**2 - 9*v**2 - 3).
10*v**3 - 30*v
Expand (-1 + 3 - 4)*(2 + 2*r**2 - 2) + 2*r + 2*r**2 - 2*r - r - 2*r**2 + r + 22*r**2 - 18*r**2 + 14*r**2 - 2*r**2 - 2*r**2 + 2*r**2.
12*r**2
Expand (18 - 18 - 25*o**2)*(-9*o**2 - 9*o**2 - 9*o**2).
675*o**4
Expand 2*x - x**2 - 2*x + (4*x - 5*x + 2*x)*(0 + 0 + 2*x) + (9 - 3 - 8)*(-72 - 11*x**2 + 72).
23*x**2
Expand -26*v**4 + 28*v**4 + 3 - 2*v**2 - 2*v**2 + (-v**3 + v**2 - v**2)*(1 - 1 + v) - 6*v**4 + 3*v**4 + 2*v**4 - v + v - 2*v**4 - v**4 + v**2 - v**2.
-3*v**4 - 4*v**2 + 3
Expand (8*d**2 + 18*d**2 - 6*d**2)*(-3*d**3 - 3*d**3 + 4*d**3) - 2*d**5 + d**4 - 1 + 4*d**4 - 4*d**4.
-42*d**5 + d**4 - 1
Expand (0*d + 2*d - 4*d + (2 - 1 - 3)*(0*d + 2*d + 0*d) - 3 + 4*d - 3*d + d)*(2*d**4 - d**4 + 3*d**4).
-16*d**5 - 12*d**4
Expand (3 - 28 - 24)*(2*x - 2*x**3 + 7*x**3 - 4*x**3).
-49*x**3 - 98*x
Expand (3 + 2 - 4)*(1 - 2*l - 1) + 1900*l + 1907*l - 3809*l - 21.
-4*l - 21
Expand (7 - 7 - 14*l**2)*(47 + 12 - 3).
-784*l**2
Expand (y - 2*y - 3*y)*(-4*y + 4*y + y) - 36*y + 24*y**2 + 36*y.
20*y**2
Expand (56 + 18 + 10)*(y**2 - y**2 + 3*y**2).
252*y**2
Expand (1 + 2*o + 12 - 3)*(36*o + 5*o + 32*o).
146*o**2 + 730*o
Expand (-2*w**2 + 67*w**3 - 67*w**3 - 52*w**4)*(-2 + 3 + 3) + 1 + w**4 - 1.
-207*w**4 - 8*w**2
Expand ((-3 + 1 + 1)*(2 - 2 + 1) + 0 + 0 - 1 - 2 + 1 + 0 + 3 - 1 + 1 - 1 - 2 + 6)*(-1 - 1 + 1)*(-8*r**4 - 347*r + 347*r - r**2).
24*r**4 + 3*r**2
Expand 1 - 1 - j**2 + (2 - 4 - 2)*(-2 + 0 + 3)*(-3 + 3 - 2*j)*(-4*j + 4*j + 2*j).
15*j**2
Expand -5 + 3*k**2 + 5 + 0*k**2 + k**2 + k**2 + (-3 - k + 3)*(0 + 0 - 2*k) + 0*k**2 + 5*k**2 - 3*k**2 + (-20 + 2 + 1)*(2*k - 2*k - 2*k**2).
43*k**2
Expand (-5*h + 5*h - 2*h**2)*(3*h - 4*h - h) + (-h - h + 0*h)*(3*h**2 + 9*h**2 + 3*h**2) + 350*h**2 - 350*h**2 + 6*h**3.
-20*h**3
Expand 0*s**2 - s**2 + 0*s**2 + (s + 399*s + 269*s)*(3*s - 2*s - 4*s).
-2008*s**2
Expand (20 - 10 - 9)*(-80*k + 36*k + 42*k)*(4*k + k - 6*k).
2*k**2
Expand (-4 - 4*d**2 + 4)*(2 - 3*d**3 - 2) + d**5 - 2*d**5 + 0*d**5 + 2*d**5 + d**5 - d**5 + (0*d**4 - d**4 - d**4)*(-4*d - d + 3*d) - d**4 - 5*d**5 + d**4.
12*d**5
Expand 0*q**3 + 0*q**3 - 6*q**4 + (-2*q**3 + 5*q**3 - q**3)*(2*q + 0*q + 0*q) - q**4 - 196*q + 196*q.
-3*q**4
Expand (-3*s + 3*s + 2*s**2)*(-1 - s + 1) + s + 2*s**3 - s + (-3*s - 3*s + 4*s)*(-103*s + 103*s - 38*s**2) - 2*s**3 - 2*s**3 + 2*s**3.
74*s**3
Expand (0*z + z + 0*z)*(-1195*z - 1 + 1 + 1172*z).
-23*z**2
Expand (2 - 4 + 0 + (3 + 1 - 6)*(4 - 1 - 2) + (19 + 8 - 42)*(2 - 3 + 2))*(4*c**3 - c**3 - 7*c**3).
76*c**3
Expand -98*z**2 - 48*z**2 - 56*z**2 + (-z + z - 3*z)*(-z + z - z) + 0*z**2 - 2*z**2 + 3*z**2.
-198*z**2
Expand (3*g**3 - 23*g**3 + 7*g**3)*(4 - 4 + 4*g + (4*g + g - 3*g)*(-5 + 2 + 2) - 3*g + 4*g - 2*g).
-13*g**4
Expand (-5*m - 5*m - 2 + 3*m)*(3 - 2 + 74*m - 73*m).
-7*m**2 - 9*m - 2
Expand (119 - 20*o**3 - 119)*(-6 + 2*o**2 - 1 + 10).
-40*o**5 - 60*o**3
Expand (-24*l + 14*l - 43*l)*(3*l**3 - 2*l**3 - 2*l**3) - 2*l**4 - l**4 + l**4 + (1 + 1 - 1)*(-l**4 - 3*l**4 + 3*l**4).
50*l**4
Expand (329*t + 80*t**4 - 329*t)*(-57 + 17 + 16).
-1920*t**4
Expand (24*b + 20*b - 17*b)*(9 - 9 - b)*(3 + 0 - 1)*(2*b - 6*b + 2*b).
108*b**3
Expand (-4 + 5 - 3)*(3*t**5 - t**5 - 3*t**5) + (t**2 - t**2 - 2*t**4)*(-34*t - 127*t - 2*t).
328*t**5
Expand (-2*y + 2*y + y)*(-2*y + 1 - 1 + (-2 + 0 + 4)*(-1 - 4*y + 1) + (3 + 3 - 5)*(6*y - 11*y - 16*y)).
-31*y**2
Expand (0 + 0 - y**2)*(-4*y - y**3 + 4*y) + 27*y**5 - 2 - y**4 - 4*y + 29*y**5 - 59*y**5.
-2*y**5 - y**4 - 4*y - 2
Expand -4*y + 4*y - 2*y**3 + (-4 + 0 + 3)*(y**2 - y**2 + y**3) + y**2 - y**2 + y**3 - 358*y**3 + 33 - 33.
-360*y**3
Expand -2*s**2 + 2*s**2 + s**2 + (9 - 12 - 1 - s)*(-3*s + 0*s + s) + 5*s**2 - 3*s**2 - s**2.
4*s**2 + 8*s
Expand (2*g**2 - 38*g**2 + 3*g**2)*(g + 3 - 3 + 0*g - 3*g - 2*g - 3*g + 2*g + 0*g + (5 - 1 - 2)*(0 + 0 + 2*g) + 2*g - 2*g + 2*g + g + 1 - 1).
-66*g**3
Expand (4*z**2 - 5*z**2 - 2*z**2)*(-46 + 5*z - 13*z + 48).
24*z**3 - 6*z**2
Expand (-14 - 1 - 5*g + 13)*(3 - 2 + 0).
-5*g - 2
Expand (-34 - 13 + 7)*(-2*r - r + r).
80*r
Expand -106*o**2 - 906*o + 1829*o - 923*o + (4*o - o - o)*(3*o - 2*o + o) - 5*o**2 - o**2 + 4*o**2.
-104*o**2
Expand (-z**2 - 6 + 6)*((2 - 2*z - 2)*(-4*z + 4*z + 2*z**2) - 3*z**3 + 7*z**3 - 2*z**3 - z**3 - z**3 - 2*z**3 - 37*z**3 + 14*z**3 - 42*z**3 - 4*z**3).
75*z**5
Expand (-4 + 2*a + 4)*(-23 + 6 - 39)*(-4 + 6 - 1).
-112*a
Expand (3*n - n - 3*n)*(272 - 590 + 127).
191*n
Expand 3*j + 10*j - 2*j + (1 - 1 + 2)*(j + 3 - 3) + 0 - 2*j + 0 + 1 + 2*j - 1 + (-2*j - 3*j + 3*j)*(1 + 0 + 1) - 4 - j + 4.
8*j
Expand -3*x**2 - 4*x**3 + 6*x**3 + 12*x**2 + 1 + (3*x**3 - 2*x**3 + 0*x**3)*(0 + 4 - 2) + 0*x**3 - 4*x**3 + 5*x**3.
5*x**3 + 9*x**2 + 1
Expand (-5 - 13 - 17)*(4 - 3 + 5)*(-2 + l + 2).
-210*l
Expand -139*p**4 + 5*p**3 - 7*p**3 - 92*p**4 + 2*p**4 - 2*p**4 - 2*p**4 - p**4 + 3*p**4 - 3*p**4 + (0*p + 0*p + 2*p**2)*(p**2 + 3*p**2 - 5*p**2).
-236*p**4 - 2*p**3
Expand (-2*a + 4*a - a)*(-3*a**2 + 3*a**2 - 4*a**4) + (-3*a + 3*a + a**2)*(a**3 + 9*a**2 - 9*a**2) - a**5 + 4*a**5 - 2*a**5.
-2*a**5
Expand (-2*t**2 - 2*t**2 + t**2 + (-3*t + 3*t + 2*t)*(1 - 1 + t))*(-3*t - t + 2*t).
2*t**3
Expand 124*s + 52*s - 32*s + 49*s + 3*s + 3*s - 5*s + (0*s + 3*s - 2*s)*(-4 + 0 + 2).
192*s
Expand (3*q - 1 + 4*q - 8*q)*(8*q**2 - 8*q**2 + 3*q**3)*(-1 + 2 - 2).
3*q**4 + 3*q**3
Expand (-2*z - 4 + 4)*(1 - 2 - 2) + (-10*z + 2 - 2)*(2 - 8 + 0).
66*z
Expand (471 - 2390 - 292)*(0*j**5 + j**5 - 2*j**5).
2211*j**5
Expand -5*w**5 + 0*w**5 + 4*w**5 + 3*w**5 + 3*w**5 - 4*w**5 + (-3*w + 15*w + 50*w)*(0*w**2 + w**2 + w**2)*(-w**2 + 2 - 2).
-123*w**5
Expand (z - 2*z + 0*z)*(174*z**4 - 493*z + 493*z).
-174*z**5
Expand 5*t**5 + 0*t**5 - 4*t**5 + (-t + t + 2*t)*(-72*t**4 + 98*t**4 + 72*t**4).
197*t**5
Expand 7*l - 8*l - l**2 + 11*l + (1 - 6*l - 1)*(0*l + l + l).
-13*l**2 + 10*l
Expand (u**2 - 2*u**2 + 2*u**2)*(4*u**2 - u**2 - 4*u**2) + 19*u**4 + 3*u**2 + 0*u**2 + 24*u**3 - 23*u**3.
18*u**4 + u**3 + 3*u**2
Expand (-4*t + t + t)*(-4*t - t + 6*t) + 7*t**2 + 7*t**2 + 11*t**2 + 20*t**2 - 18*t**2 + 1 - 4 - 2*t.
25*t**2 - 2*t - 3
Expand (4*a + 2*a - 7*a)*(-a**4 + 2*a - 3*a**4 - 3*a) + (-3*a**3 + a**3 + 4*a**3)*(2*a**2 + 0*a**2 + 0*a**2) + 5 - 9*a**5 - 5.
-a**5 + a**2
Expand (0*z**2 + 4*z**2 - 3*z**2)*(-17*z**3 + 29*z**3 - 36*z**3)*(0 - 1 - 1).
48*z**5
Expand 0*k + k - 21 + 44 + (-k + 2*k + k)*(5 - 2 - 1) - 2*k + k - k.
3*k + 23
Expand w + w - 6*w + (-15 + 18 + 22)*(-2 + w + 2).
21*w
Expand (21*b**2 - b**2 - b**2)*(3*b**3 - 3 + 3 + (-3*b**2 + 0*b**2 + 7*b**2)*(-2*b + 5 - 5)).
-95*b**5
Expand (0 - 1 + 2)*(4*u - u + u)*(0*u**2 - u**2 + 4*u**2)*(-6 + 6 + 3*u**2) - 2*u**5 - 2*u**5 + 7*u**5.
39*u**5
Expand -2*k**5 - k**5 - 2*k**5 + (239*k**4 - 735*k**2 + 735*k**2)*(2
|
{
"pile_set_name": "DM Mathematics"
}
|
6*z - 119. Let j be q(22). Give s(j).
9
Let y(r) = 2*r**2 - 13*r + 10. Suppose 4*v - 3*w = 31, 23*w - 22*w = 2*v - 15. Give y(v).
17
Let h(c) = -2*c**2 + 3*c + 3. Let o(z) = -z**2 - 18*z + 90. Let v be o(-22). Let r be (-8)/(-12)*-2*3/v. What is h(r)?
-11
Let a(x) = x**2 + 11*x - 126. Suppose -6*j - 73*j - 64*j = 2717. Determine a(j).
26
Let d(y) = 52 - 148 + 45 + 59 - 44*y. Calculate d(2).
-80
Let s be 4/(-14) + (-885)/(-35). Suppose -s*w = -26*w. Suppose -15 = -5*j - w*j. Let g(b) = b**3 - 3*b**2 - 2*b + 3. What is g(j)?
-3
Let o(w) = -9 - 31214*w + 31220*w - 3. Determine o(1).
-6
Let y = -11 + 15. Suppose -4*c + 30 = -y*r + 50, 0 = -5*c - r - 25. Let q(d) = d + 5. Give q(c).
0
Let r = 2899 - 2906. Let i(s) = 2*s**2 + 12*s - 3. Calculate i(r).
11
Let q be 6/(-105) + 4199/595. Let m(t) = t**3 - 9*t**2 + 5*t + 5. Give m(q).
-58
Let d = 440 - 92. Let k(u) = 2*u - 4 - 350*u**2 + 0*u + d*u**2 - u**3. Calculate k(-3).
-1
Let j(s) be the first derivative of -5*s**4/6 + 45*s**2/2 + 50. Let c(y) be the second derivative of j(y). Let l = 1 - 0. Calculate c(l).
-20
Let c(x) = 5*x - 3*x + 3*x - 56*x**2 - 8 + 116*x**2 - 62*x**2. Give c(2).
-6
Let n(a) = 779 + 790 - 1582 - 2*a. Give n(-11).
9
Let v be 17/204*(-7 + 8). Let c(f) be the third derivative of 0 + 0*f - 4*f**2 - 2/3*f**3 - v*f**4. Calculate c(-3).
2
Let v(p) = -p**2 - 30*p - 45. Suppose 4795*k = 4811*k + 448. Calculate v(k).
11
Let m(s) = s + s**2 - 478 + 234 + 234 + 0*s - 5*s. Calculate m(-4).
22
Let g be 8/(-10)*(-21 - (-12)/(-3)). Let x be (-106)/g - 9/(-30). Let o(d) = -d**3 - 6*d**2 - 4*d + 5. Determine o(x).
0
Let q(b) = -23*b + 2. Let p(s) = -13*s + 1. Let a(t) = -7*p(t) + 4*q(t). Let l be -3 - (-4 - (-6 - -3)). Let j be l*(2/(-4))/1. What is a(j)?
0
Let m be (20 - (-16 - -42)) + -1. Let u(t) = -t**3 - 8*t**2 - 2*t - 3. What is u(m)?
-38
Let l(p) = -3*p**3 - 3*p**2 - p + 1. Let q(y) = 4*y**3 - 21*y**2 + 2*y - 12. Let x(w) = 3*l(w) + q(w). Calculate x(-6).
-3
Suppose -6*l = -13*l + 15337. Let j(n) = -40 + l*n - 2193*n + 11. Give j(-13).
-3
Let s(u) = u**2 - 14*u + 19. Let x be 729/63 + 120/280. Give s(x).
-5
Let h be (-2)/4*2*7. Let g(q) be the first derivative of -q**3/6 - 4*q**2 + 122*q - 59. Let v(i) be the first derivative of g(i). Calculate v(h).
-1
Let m(y) = y + 3. Let g(h) = -34 + 11*h - 47*h + 12*h + 11*h + 9*h. Let q(b) = b**3 - 5*b**2 + 3*b - 1. Let w be q(3). Let t be g(w). Calculate m(t).
9
Let n(h) = -h**2 - 11*h - 3. Suppose 5*p + 8*t = 11*t - 45, 2*p + 18 = t. Determine n(p).
15
Let q(d) be the second derivative of d**4/12 - 3*d**3/2 - d**2/2 + 143*d. Suppose 4*p - 5*v - 60 = 0, p + 2*v - 5*v = 22. Give q(p).
9
Let z(l) be the third derivative of 0*l - 1/120*l**5 - 5/6*l**3 + 0*l**4 + 28*l**2 + 0. Let t(w) be the first derivative of z(w). Calculate t(-7).
7
Let l(t) = 0 + 388*t - 1 - 125*t - 133*t + 9*t**3 - 2*t**2 - 132*t. Let v be 37/(-9) + (-4)/(-36). Let o be ((-22)/8 + 3)*v. Determine l(o).
-10
Let r(b) = -3*b**2 - 3*b - 3. Let d be (-1 + 34/6)/((-8)/12). Let w(s) = -4*s**2 - 5*s - 5. Let k(p) = d*r(p) + 5*w(p). Calculate k(3).
-7
Let h(d) = 16*d**2 - 4*d - 3. Let w(f) = 3*f**3 + 25*f**2 + f - 57. Let r be w(-8). What is h(r)?
17
Let u(m) be the third derivative of 1/8*m**4 - 7/6*m**3 + 0 + 65*m**2 + 0*m + 1/60*m**5. What is u(-6)?
11
Let n(l) = l**2 - 8*l + 3. Let v(j) be the first derivative of 2*j**3 + 3*j**2/2 - 2*j - 7. Let t be (-5 + 4)/(-2*4/8). Let f be v(t). Determine n(f).
-4
Let n(w) = -7*w - 8*w + 20*w + 14 + w - 5*w. Suppose 2*k + 3*k - 15 = 0. Suppose -g - k = 5. Calculate n(g).
6
Suppose t = -5*c + 67, 0 = -4*c + c + 5*t + 57. Let y(s) = -c*s + 8*s + 8*s + 1. Determine y(4).
9
Let z be (-9)/6*(-16)/12. Let f(r) = -68*r + z*r**2 - 5*r**2 - r**3 - 1 + 5*r**2 + 71*r. Determine f(2).
5
Let x(s) = 22*s + 21 - 5*s**2 + 14*s**2 - 8*s**2 + 10 - 7*s. Give x(-7).
-25
Let r(q) = 3*q**3 - 37*q**2 + 10*q + 14. Let d = 16270 - 16258. What is r(d)?
-10
Suppose -3*u - u = 0. Let s(x) be the third derivative of x**6/120 + x**5/60 - x**4/24 - 31*x**3/6 + 1098*x**2 - 3*x. Give s(u).
-31
Let l(r) = 5*r**3 + 11*r**2 - r. Let d(z) = -2*z**3 - 5*z**2. Let q(a) = -7*d(a) - 3*l(a). Let g = 75788 - 75784. Determine q(g).
-20
Suppose 2*d - 8 = 12. Let b = d + 5. Let v = b - 18. Let w(o) = 4*o + 3. Give w(v).
-9
Let i(b) = b**3 - 5*b**2 + 1. Suppose 4*m + 7 = 19. Let n be 0 - (m + (-7 - -2) + 2). Let q be 6 - (n + 3) - -1. Calculate i(q).
-15
Let r(z) = -3*z**3 - 4*z**2 - 5*z - 7. Let v = 13143 - 13145. Give r(v).
11
Let i(v) = 47621 - 47613 + 0*v**3 + 5*v**2 - 2*v + v**3. What is i(-6)?
-16
Let k(r) = -168*r**3 + 28*r + 167*r**3 - 21 + 8*r + 33*r**2. Give k(34).
47
Let t be (-9)/(-21) + 68*(-13)/364. Let g(y) = -17*y + 1. What is g(t)?
35
Let l(v) = v - 6. Suppose -37 = -10*c - 17. Suppose c*f - 8 = s + 6*f, 0 = 2*s + 5*f + 7. Give l(s).
-2
Let r(f) = f + 20. Let m = -46 + 55. Suppose -v + 6 - m = 0. Let i = v - -3. What is r(i)?
20
Let o(f) be the second derivative of -43*f**5/20 + f**3/6 - f**2/2 - 2*f. Let n(i) = -i**3 - 26*i**2 + 85*i - 57. Let a be n(-29). Calculate o(a).
-43
Let q(m) = 8*m - 273. Let j be ((-12)/22 + 60/1320)*6 - -35. Calculate q(j).
-17
Let h(l) = -14*l + 7. Suppose -3*w = -3*v + 24, -12 = 8*v - 11*v. What is h(w)?
63
Let o(d) = d**3 - 2*d**2 - 2*d + 1. Suppose -j = -10 + 6. Let r be 1*(-68)/(-18) - j/(-18). Let z be r*(-2)/(-20) + 120/75. Determine o(z).
-3
Let x(r) = -2*r**2 + 3*r + 3. Let j be (-98)/(-5) + (-18)/(-45). Let c be 4/j + 33/(-15). Let n be 10/(-4) - c/4. What is x(n)?
-11
Let f be 1 - 1/((-1)/(-367)). Let g = 135 + f. Let a be g/(-55) - (-2)/(-10). Let u(c) = -c**3 + 4*c**2 + c - 5. What is u(a)?
-1
Let t(g) = -5*g + 52. Let u be ((-81)/(-9) - (-12)/14) + (-2)/(-14). What is t(u)?
2
Let q(n) = 2*n + 2. Let m be q(2). Let g(c) = -4*c - 1. Let a(t) = -4*t - 1. Let d(k) = -a(k) + 2*g(k). Give d(m).
-25
Let a(n) = -n**2 - 188*n - 568. Let y be a(-3). Let f(b) = -b**2 - 16*b - 27. Determine f(y).
12
Let s(n) = n - 57. Let q(f) = f. Let d(l) = 4*q(l) + s(l). Let j be d(14). Suppose -j = 7*k - 20*k. Let x(z) = -4*z**3 + z**2 - z + 1. Determine x(k).
-3
Let v(j) = j**3 + 29*j**2 + 390*j + 30412. Let k be v(-39). Let s = 0 + 0. Let h(u) = u - 2*u - 8 + s*u. Determine h(k).
0
Let o(g) be the third derivative of -2*g**5/15 - 3*g**4/8 - 4*g**3/3 - 3292*g**2. Calculate o(-1).
-7
Let p(w) = -w**3 - 7*w**2 + 7*w. Let s(m) = -3*m - 1. Suppose -3*n - 6*l - 2 = -7*l, -5*l = n - 26. Let y(h) = n*p(h) + 3*s(h). Give y(-6).
-27
Let t(r) = 3*r**2 - 3*r - 1. Let j(u) = 99*u + 300. Let k be j(-3). What is t(k)?
17
Let i be (-965)/(-20) + (-3)/(-4). Let k(f) = -f**2 + i*f + 45*f - 95*f. Determine k(-2).
-2
Suppose -3*m + 2*q = -4, -3 = -3*m + 5*q - 2. Suppose -3*a + 37 = 4*y, -m*y + 3*a + 4 = -1. Let u(l) = -l + 13. What is u(y)?
6
Let g be -2*(10/(-4) + 2). Let c be (-4)/2 + 6 + (g - -3). Let h(v) = 3*v**3 - 5*v**3 + 4*v + c + 0*v - 5*v**2 + v**3. Determine h(-6).
20
Let n(m) = 2*m**3 + 2*m**2 - 2*m. Let k be (-1989)/12 + -6 + 3/4. Let o = -174 - k. What is n(o)?
-30
Let g(a) = 5*a**2 + 6*a - 3. Let y(q) = 3*q**2 + 7*q - 3. Let p(t) = -7*g(t) + 6*y(t). Let c(l) = 25*l**2 - 4. Let i(d) = -5*c(d) - 7*p(d). Give i(-1).
-7
Suppose -4*z = d - 32 - 16, -d = -3*z + 29. Let m(t) = 2 + 59*t**2 - 57*t**2 - z*t + 16*t. What is m(-4)?
14
Let l(q) = 15*q**2 - 23*q - 13. Let w be l(2). Let r(c) = 44*c**3 - c**2 + c - 1. Give r(w).
43
Let h = -652 - -765. Let x(n) = -h*n - 39 + 40 + 112*n. Give x(-5).
6
Let o(y) = -2*y**3 + y**2. Let f = -11 - -14. Let j(i) = 4*i**2 - 3*i**f - 3*i**3 + i**3 + i. Let a(s) = 3*j(s) - 8*o(s). Calculate a(-2).
2
Let i(m) = 3*m + 2443 - 4847 + 2455. Determine i(-15).
6
Let a = 38 + -36. Suppose 0 = -a*h + h + 4. Let f(t) = 7 - h*t**2 - 2 + 2*t**2 - 8*t + t**2. What is f(-6)?
17
Let b(g) = 11*g**2 - g - 6. Let y(i) = -31*i**2 + 4*i + 12. Let f(z) = -11*b(z) - 4*y(z). Determine f(5).
68
Let q(m) = -88 + 525*m - 265*m - 265*m + 259. What is q(32)?
11
Let n(s) = s**2 + 4*s - 14. Suppose 0 = -39*b + 17*b. Calculate n(b).
-14
Let d(w) = 6*w + 2. Let n be d(-1). Let f(c) = c**3 - 4*c - 1. Let m(l) = 7*l**3 + 5*l**2 - 22*l - 9. Let b(x) = -6*f(x) + m(x). Determine b(n).
5
Let b(a) = 19*a**2 + 2*a + 1. Let g = 99 - 55. Let c = g + -43. Let d be 3/((-6)/(-
|
{
"pile_set_name": "DM Mathematics"
}
|
*2 + 10*g + 631135
What is the f'th term of -7810, -7694, -7514, -7258, -6914, -6470, -5914, -5234?
2*f**3 + 20*f**2 + 42*f - 7874
What is the n'th term of -994, -1028, -1080, -1150, -1238, -1344?
-9*n**2 - 7*n - 978
What is the n'th term of 9544, 12233, 14934, 17653, 20396?
n**3 + 2682*n + 6861
What is the s'th term of 70941, 116634, 162327?
45693*s + 25248
What is the z'th term of -303344, -606154, -908978, -1211822, -1514692, -1817594, -2120534, -2423518?
-z**3 - z**2 - 302800*z - 542
What is the u'th term of 1209, 2338, 5409, 11394, 21265, 35994, 56553, 83914?
162*u**3 - u**2 - 2*u + 1050
What is the i'th term of 1993, 2114, 2313, 2590?
39*i**2 + 4*i + 1950
What is the s'th term of -4853123, -9706242, -14559361, -19412480, -24265599?
-4853119*s - 4
What is the k'th term of -799883, -799885, -799879, -799865, -799843, -799813, -799775?
4*k**2 - 14*k - 799873
What is the a'th term of -44007129, -44007131, -44007133, -44007135, -44007137?
-2*a - 44007127
What is the y'th term of 347, 1322, 3021, 5504, 8831, 13062, 18257?
10*y**3 + 302*y**2 - y + 36
What is the a'th term of -729, -1590, -2623, -3822, -5181, -6694?
a**3 - 92*a**2 - 592*a - 46
What is the b'th term of 31465, 31369, 31213, 30997?
-30*b**2 - 6*b + 31501
What is the g'th term of -17704036, -35408075, -53112116, -70816159, -88520204, -106224251, -123928300?
-g**2 - 17704036*g + 1
What is the y'th term of -77070, -308072, -693004, -1231866, -1924658?
-76965*y**2 - 107*y + 2
What is the a'th term of 1939731, 3879452, 5819175, 7758900, 9698627?
a**2 + 1939718*a + 12
What is the r'th term of 1055, 8062, 27069, 64076, 125083, 216090, 343097, 512104?
1000*r**3 + 7*r + 48
What is the j'th term of 5535, 10671, 15427, 19803?
-190*j**2 + 5706*j + 19
What is the o'th term of -32520, -63043, -93566, -124089, -154612?
-30523*o - 1997
What is the t'th term of 2530, 2411, 2230, 1987?
-31*t**2 - 26*t + 2587
What is the v'th term of 149802462, 149802475, 149802502, 149802549, 149802622, 149802727?
v**3 + v**2 + 3*v + 149802457
What is the l'th term of -6548, -26175, -58800, -104351, -162756, -233943, -317840?
12*l**3 - 6571*l**2 + 2*l + 9
What is the w'th term of -7353, 7842, 23037, 38232, 53427, 68622?
15195*w - 22548
What is the t'th term of 33122, 132769, 298838, 531329?
33211*t**2 + 14*t - 103
What is the l'th term of 2766, 11626, 26526, 47466, 74446, 107466, 146526?
3020*l**2 - 200*l - 54
What is the j'th term of 34062, 136080, 306086, 544074, 850038, 1223972?
-j**3 + 34000*j**2 + 25*j + 38
What is the p'th term of 115408, 113689, 111970, 110251, 108532?
-1719*p + 117127
What is the g'th term of 1642, 1856, 2224, 2758, 3470, 4372, 5476, 6794?
2*g**3 + 65*g**2 + 5*g + 1570
What is the s'th term of 166, 317, 480, 661, 866, 1101, 1372?
s**3 + 144*s + 21
What is the w'th term of 13102, 12565, 12044, 11539?
8*w**2 - 561*w + 13655
What is the w'th term of 5023904, 5023897, 5023890, 5023883, 5023876?
-7*w + 5023911
What is the x'th term of -6474475, -12948934, -19423393, -25897852?
-6474459*x - 16
What is the k'th term of 1351, 10715, 36135, 85639, 167255, 289011, 458935?
1338*k**3 - 2*k + 15
What is the w'th term of -2092, -2013, -1838, -1519, -1008, -257?
8*w**3 + 23*w - 2123
What is the l'th term of -135228, -135188, -135130, -135060, -134984, -134908?
-l**3 + 15*l**2 + 2*l - 135244
What is the n'th term of 72651972, 72651971, 72651970, 72651969, 72651968?
-n + 72651973
What is the l'th term of 30654340, 30654339, 30654338?
-l + 30654341
What is the g'th term of 113, 380, 1079, 2432, 4661?
37*g**3 - 6*g**2 + 26*g + 56
What is the z'th term of 43295, 86590, 129881, 173168, 216451, 259730?
-2*z**2 + 43301*z - 4
What is the b'th term of -35193, -36027, -36863, -37701?
-b**2 - 831*b - 34361
What is the u'th term of 8380387, 8380474, 8380561?
87*u + 8380300
What is the v'th term of -1519538, -3039070, -4558602, -6078134, -7597666?
-1519532*v - 6
What is the x'th term of 16277, 32548, 48827, 65114, 81409?
4*x**2 + 16259*x + 14
What is the q'th term of -1458982, -5835878, -13130694, -23343430, -36474086?
-1458960*q**2 - 16*q - 6
What is the v'th term of 3796, 7695, 11536, 15313, 19020, 22651, 26200?
-v**3 - 23*v**2 + 3975*v - 155
What is the l'th term of 914713, 914434, 914155, 913876, 913597?
-279*l + 914992
What is the b'th term of 20147089, 20147087, 20147085, 20147083, 20147081?
-2*b + 20147091
What is the q'th term of 13119, 26520, 39839, 53034, 66063, 78884, 91455?
-7*q**3 + q**2 + 13447*q - 322
What is the b'th term of 1929167208, 1929167207, 1929167206, 1929167205, 1929167204, 1929167203?
-b + 1929167209
What is the l'th term of 14048, 27884, 41642, 55322?
-39*l**2 + 13953*l + 134
What is the k'th term of 37392, 149635, 336710, 598617, 935356?
37416*k**2 - 5*k - 19
What is the q'th term of -4756213, -4756232, -4756251, -4756270, -4756289?
-19*q - 4756194
What is the l'th term of -8462733, -8462731, -8462729, -8462727, -8462725?
2*l - 8462735
What is the l'th term of -6716, -14467, -22218, -29969, -37720, -45471?
-7751*l + 1035
What is the i'th term of 2036400, 4072714, 6109026, 8145336?
-i**2 + 2036317*i + 84
What is the t'th term of 32733165, 32733173, 32733187, 32733207?
3*t**2 - t + 32733163
What is the c'th term of 85, -2451, -9537, -23447, -46455?
-379*c**3 - c**2 + 120*c + 345
What is the f'th term of -56240, -224998, -506272, -900062?
-56258*f**2 + 16*f + 2
What is the d'th term of 10230, 9583, 8508, 7005, 5074, 2715?
-214*d**2 - 5*d + 10449
What is the b'th term of 7688, 15352, 23020, 30692, 38368?
2*b**2 + 7658*b + 28
What is the k'th term of -48, -283, -1004, -2517, -5128, -9143, -14868, -22609?
-51*k**3 + 63*k**2 - 67*k + 7
What is the l'th term of -265828, -1062924, -2391418, -4251310?
-265699*l**2 + l - 130
What is the d'th term of 159, 454, 803, 1206, 1663, 2174, 2739?
27*d**2 + 214*d - 82
What is the z'th term of 1961, 2781, 3715, 4757, 5901, 7141, 8471, 9885?
-z**3 + 63*z**2 + 638*z + 1261
What is the y'th term of -15119, -15201, -15281, -15359, -15435, -15509?
y**2 - 85*y - 15035
What is the z'th term of -352512, -1410063, -3172656, -5640297, -8812992, -12690747, -17273568?
-z**3 - 352515*z**2 + z + 3
What is the b'th term of -1649945, -1649939, -1649933?
6*b - 1649951
What is the p'th term of -46, -230, -530, -940, -1454, -2066?
p**3 - 64*p**2 + p + 16
What is the u'th term of 3042, 2855, 2648, 2427, 2198, 1967?
u**3 - 16*u**2 - 146*u + 3203
What is the v'th term of 51858, 103357, 154856, 206355?
51499*v + 359
What is the w'th term of -379871, -379907, -379969, -380057, -380171, -380311, -380477?
-13*w**2 + 3*w - 379861
What is the k'th term of 68856782, 68856785, 68856788, 68856791, 68856794?
3*k + 68856779
What is the s'th term of 1706, 3470, 5536, 8054, 11174?
25*s**3 + s**2 + 1586*s + 94
What is the x'th term of -179581, -364467, -549355, -734245, -919137, -1104031, -1288927?
-x**2 - 184883*x + 5303
What is the k'th term of 274, 1496, 3674, 6826, 10970, 16124?
3*k**3 + 460*k**2 - 179*k - 10
What is the z'th term of 76280477, 152560956, 228841435, 305121914, 381402393, 457682872?
76280479*z - 2
What is the u'th term of -1319, -3773, -7859, -13571, -20903, -29849, -40403?
u**3 - 822*u**2 + 5*u - 503
What is the p'th term of -5460, -11393, -17312, -23217, -29108?
7*p**2 - 5954*p + 487
What is the z'th term of -14130, -14298, -14466?
-168*z - 13962
What is the d'th term of 990253, 1980840, 2971441, 3962062, 4952709?
d**3 + d**2 + 990577*d - 326
What is the f'th term of -18706, -73897, -165816, -294457, -459814, -661881, -900652, -1176121?
f**3 - 18370*f**2 - 88*f - 249
What is the f'th term of 94474, 188476, 282478, 376480, 470482?
94002*f + 472
What is the u'th term of 275739, 274380, 273021, 271662, 270303, 268944?
-1359*u + 277098
What is the t'th term of -7365, -34078, -78593, -140904, -221005?
t**3 - 8907*t**2 + t + 1540
What is the h'th term of -667, -1742, -3215, -5092, -7379, -10082, -13207?
-h**3 - 193*h**2 - 489*h + 16
What is the n'th term of 8971, 18440, 28915, 40900, 54899, 71416, 90955, 114020?
84*n**3 - n**2 + 8884*n + 4
What is the s'th term of 11091941, 11091925, 11091909, 11091893, 11091877?
-16*s + 11091957
What is the t'th term of -372023, -372030, -372037, -372044?
-7*t - 372016
What is the j'th term of -233, 267, 1101, 2269, 3771, 5607, 7777?
167*j**2 -
|
{
"pile_set_name": "DM Mathematics"
}
|
05.
7340605
Find the common denominator of 109/5088 and -113/2513896.
30166752
What is the common denominator of 79/11213196 and 107/36?
33639588
Calculate the common denominator of 23/55359786 and 49/50.
1383994650
What is the common denominator of 16/8009883 and 121/103662?
208256958
Calculate the lowest common multiple of 161403 and 10148825.
334911225
Calculate the lowest common multiple of 12636 and 3960.
1389960
Calculate the common denominator of -125/25197762 and 83/114.
25197762
Find the common denominator of 11/37734 and 74/252615.
3177391470
What is the smallest common multiple of 2097612 and 10954196?
98587764
Calculate the common denominator of 111/6708310 and -67/5566470.
261624090
Calculate the smallest common multiple of 27781 and 26.
55562
What is the smallest common multiple of 7600 and 1616520?
16165200
What is the common denominator of 33/5342233 and 58/35581?
37395631
Find the common denominator of 59/38410592 and -17/218242.
38410592
Calculate the lowest common multiple of 31693526 and 22.
348628786
What is the smallest common multiple of 1029 and 27325662?
1338957438
What is the lowest common multiple of 160862 and 10465?
5630170
What is the smallest common multiple of 10 and 15459885?
30919770
What is the lowest common multiple of 11520 and 349440?
1048320
Calculate the common denominator of -85/6925368 and 59/4848.
13850736
Find the common denominator of -163/1938816 and -133/1056.
1938816
What is the lowest common multiple of 24 and 54253992?
54253992
What is the lowest common multiple of 405 and 76584555?
229753665
What is the lowest common multiple of 16792 and 4708057?
37664456
Calculate the smallest common multiple of 646164 and 12.
646164
What is the common denominator of -47/568 and -21/40789855?
326318840
What is the smallest common multiple of 876 and 1238476?
271226244
What is the smallest common multiple of 4920792 and 2502?
2051970264
Find the common denominator of -127/71280 and -107/85892400.
85892400
What is the smallest common multiple of 65219904 and 216?
65219904
What is the smallest common multiple of 29290 and 480095?
96979190
What is the smallest common multiple of 404946 and 742401?
4454406
Calculate the common denominator of 91/24966 and 31/69.
574218
Calculate the common denominator of 145/3348 and -5/2808.
87048
What is the least common multiple of 125 and 151386?
18923250
What is the common denominator of 4/235355 and -69/60909874?
304549370
Calculate the common denominator of -73/127167 and 65/27063.
11826531
What is the smallest common multiple of 40128296 and 22?
441411256
Calculate the least common multiple of 242986940 and 715720.
485973880
Find the common denominator of -53/909300 and -149/231416850.
462833700
What is the common denominator of -79/732360 and 89/1952960?
5858880
Find the common denominator of -29/11 and 6/219917.
2419087
Calculate the common denominator of 5/36288 and 113/16016.
5189184
What is the lowest common multiple of 4878168 and 203257?
4878168
Calculate the least common multiple of 2022 and 205395.
138436230
What is the lowest common multiple of 2 and 2269784?
2269784
What is the least common multiple of 6 and 148130128?
444390384
Calculate the smallest common multiple of 22363604 and 17628.
872180556
Find the common denominator of 45/370663436 and 103/59852.
370663436
What is the common denominator of -61/532 and 45/2193056?
15351392
What is the common denominator of 95/2261688 and -73/3432?
2261688
Calculate the common denominator of -76/21540505 and 51/5.
21540505
What is the smallest common multiple of 112857085 and 50?
1128570850
What is the common denominator of -93/2285470 and -19/178840?
155411960
Find the common denominator of -15/14 and 109/5423884.
37967188
Calculate the lowest common multiple of 54272432 and 80.
271362160
Find the common denominator of -113/238925590 and 113/334495826.
1672479130
Find the common denominator of -79/19130 and -89/12964.
124000660
What is the least common multiple of 244316 and 2965?
1221580
What is the common denominator of 149/202830 and 20/723?
48882030
Find the common denominator of 1/702 and 107/5262084.
68407092
Calculate the common denominator of -17/88 and 9/91539992.
1006939912
Calculate the lowest common multiple of 20 and 82931364.
414656820
Calculate the common denominator of 167/5212812 and -53/21816.
93830616
What is the smallest common multiple of 709753 and 63393?
36197403
Find the common denominator of 121/992976 and 55/1351368.
408113136
Calculate the lowest common multiple of 17319865 and 263420.
69279460
What is the lowest common multiple of 1 and 50970889?
50970889
Calculate the smallest common multiple of 9120 and 562191.
89950560
Find the common denominator of -113/4316598 and -125/1548.
8633196
What is the smallest common multiple of 302209 and 7732995?
131460915
Find the common denominator of -77/110080 and -41/18672320.
149378560
Find the common denominator of 41/748800 and -41/19200.
748800
What is the common denominator of -27/432460574 and 37/96986?
432460574
Calculate the smallest common multiple of 1718208 and 13376.
18900288
Find the common denominator of -113/136838 and -21/256502.
63355994
Calculate the lowest common multiple of 2438397 and 750276.
9753588
Calculate the common denominator of 151/94112970 and 53/62741980.
188225940
Find the common denominator of 47/11480 and 61/1866115.
104502440
Find the common denominator of 37/11043846 and 103/413406.
77306922
Calculate the common denominator of -27/1220975 and 44/1220975.
1220975
What is the common denominator of 49/173286 and -58/68661?
440666298
Calculate the lowest common multiple of 43593 and 11262846.
123891306
Find the common denominator of -15/34 and 16/456413.
15518042
Calculate the common denominator of 41/315 and 107/60734160.
425139120
Calculate the common denominator of -109/1080140 and 19/10865.
44285740
Calculate the lowest common multiple of 1906212 and 483.
43842876
What is the lowest common multiple of 20 and 6891100?
6891100
Calculate the least common multiple of 3740 and 2499442.
24994420
What is the least common multiple of 165 and 691290?
7604190
What is the common denominator of 44/689 and 106/10065?
6934785
Calculate the common denominator of 85/1039773 and 101/105.
5198865
What is the least common multiple of 500564374 and 2?
500564374
What is the smallest common multiple of 312807054 and 210?
1564035270
What is the common denominator of 103/360120 and -101/316?
28449480
What is the lowest common multiple of 161200 and 2899?
35947600
What is the lowest common multiple of 3933032 and 9832580?
19665160
What is the lowest common multiple of 56168 and 1904?
112336
Calculate the common denominator of -79/45 and -31/8135910.
8135910
Find the common denominator of 83/304 and -89/2496348.
189722448
Find the common denominator of -103/154 and 10/227197047.
454394094
Find the common denominator of 25/9566514 and 93/14.
66965598
Find the common denominator of -67/82226060 and -19/8222606.
82226060
Find the common denominator of -59/1140534 and -20/1710801.
3421602
What is the common denominator of 32/77445 and 73/29652830?
266875470
Calculate the common denominator of 29/225 and 58/284427.
7110675
What is the lowest common multiple of 1474920 and 75192?
19173960
What is the common denominator of -55/3234712 and -81/52384?
12938848
Calculate the least common multiple of 31948 and 12570723.
2463861708
What is the common denominator of 71/56607232 and -7/922944?
169821696
What is the smallest common multiple of 1667550 and 10?
1667550
Calculate the lowest common multiple of 638 and 40018.
1160522
What is the common denominator of 17/1331172 and 1/12360?
13311720
Calculate the smallest common multiple of 42 and 533235.
7465290
Find the common denominator of -71/1488156 and -15/91.
135422196
Calculate the lowest common multiple of 1112 and 151976.
21124664
Find the common denominator of -95/183268 and -5/1466144.
1466144
What is the common denominator of -65/227178 and 113/588980?
15902460
Calculate the lowest common multiple of 252 and 25806.
1083852
What is the lowest common multiple of 1720 and 358448?
1792240
Calculate the common denominator of -83/33958080 and 57/235820.
33958080
What is the lowest common multiple of
|
{
"pile_set_name": "DM Mathematics"
}
|
i: 2, a: 1, j: 1, m: 4}. What is prob of sequence mjai?
1/378
Three letters picked without replacement from {j: 7, e: 5}. Give prob of sequence jjj.
7/44
What is prob of sequence ho when two letters picked without replacement from {h: 1, k: 1, f: 1, o: 1, g: 1}?
1/20
What is prob of sequence ggqq when four letters picked without replacement from ggggggggggqggggggq?
1/153
Three letters picked without replacement from {u: 7}. What is prob of sequence uuu?
1
Four letters picked without replacement from shlsrsish. Give prob of sequence hlrs.
1/378
Three letters picked without replacement from {o: 5, y: 5}. What is prob of sequence yyy?
1/12
Three letters picked without replacement from {l: 5, q: 1, g: 5, o: 5, i: 3, p: 1}. Give prob of sequence gqp.
1/1368
Two letters picked without replacement from nbnbgobnbonobnngzgog. Give prob of sequence gg.
3/95
Three letters picked without replacement from {y: 1, u: 1, b: 1, o: 1, z: 2, d: 1}. What is prob of sequence ozy?
1/105
What is prob of sequence db when two letters picked without replacement from {m: 6, d: 4, b: 1, y: 7}?
2/153
Calculate prob of sequence qlk when three letters picked without replacement from lqkqlhkv.
1/42
Four letters picked without replacement from lltlllllylltyltlyty. What is prob of sequence lylt?
55/2907
Four letters picked without replacement from vvvvvvovvvzzovzvzzv. Give prob of sequence vzvo.
55/3876
Three letters picked without replacement from kcattcktccaayatt. Give prob of sequence ktc.
1/84
What is prob of sequence gls when three letters picked without replacement from {s: 1, x: 4, g: 11, l: 3}?
11/1938
Four letters picked without replacement from brmntqbbrbbrr. Give prob of sequence tqbm.
1/3432
What is prob of sequence nq when two letters picked without replacement from {q: 1, t: 6, a: 3, n: 1, s: 1, h: 1}?
1/156
What is prob of sequence lzv when three letters picked without replacement from mnzlqnlnllqlqvlqlv?
7/2448
Two letters picked without replacement from ulrlullu. Give prob of sequence rl.
1/14
Three letters picked without replacement from gfffgff. What is prob of sequence fgf?
4/21
Three letters picked without replacement from {l: 1, t: 9, d: 4}. What is prob of sequence ddd?
1/91
Two letters picked without replacement from {b: 2, z: 1, j: 1, x: 2, t: 2}. What is prob of sequence xx?
1/28
What is prob of sequence kg when two letters picked without replacement from {g: 3, k: 9}?
9/44
What is prob of sequence rd when two letters picked without replacement from rrrdrrrrrrdrrrrrrrrr?
9/95
Three letters picked without replacement from {q: 1, w: 1, v: 2, j: 6, t: 7}. Give prob of sequence wqt.
7/4080
Three letters picked without replacement from niniireeimiiiw. What is prob of sequence rwn?
1/1092
Calculate prob of sequence bbgf when four letters picked without replacement from {x: 1, g: 1, b: 3, d: 1, f: 1}.
1/140
Calculate prob of sequence ee when two letters picked without replacement from eeerrddr.
3/28
Four letters picked without replacement from {i: 5, d: 11}. What is prob of sequence ddii?
55/1092
Calculate prob of sequence jdda when four letters picked without replacement from ysyydydrayrdjajjyj.
1/1530
Calculate prob of sequence se when two letters picked without replacement from nnszebnngnsszz.
3/182
Calculate prob of sequence ee when two letters picked without replacement from eeqelqelqeqel.
5/26
Four letters picked without replacement from {b: 1, s: 1, e: 1, v: 2, h: 1, w: 1}. Give prob of sequence hbev.
1/420
Two letters picked without replacement from vpuppuuvu. What is prob of sequence vp?
1/12
Two letters picked without replacement from qoodzap. What is prob of sequence pz?
1/42
Calculate prob of sequence rhh when three letters picked without replacement from {u: 3, r: 1, h: 3, i: 2, b: 1, c: 2}.
1/220
What is prob of sequence hq when two letters picked without replacement from hhqcccncqccchcnn?
1/40
Calculate prob of sequence no when two letters picked without replacement from {n: 7, o: 6}.
7/26
Four letters picked without replacement from nhmwhwawnmwd. What is prob of sequence dwmm?
1/1485
Calculate prob of sequence mm when two letters picked without replacement from {m: 2, n: 9}.
1/55
Calculate prob of sequence qc when two letters picked without replacement from {q: 4, c: 5, y: 3}.
5/33
Three letters picked without replacement from {b: 5, w: 1, y: 3, x: 1}. Give prob of sequence byb.
1/12
What is prob of sequence oh when two letters picked without replacement from heajttjejotjje?
1/182
Two letters picked without replacement from qtqqktqtkteqtqkkeqk. Give prob of sequence kk.
10/171
Four letters picked without replacement from {q: 2, e: 11}. What is prob of sequence eeqq?
1/78
Calculate prob of sequence yp when two letters picked without replacement from prtgyvtr.
1/56
What is prob of sequence hh when two letters picked without replacement from {h: 3, j: 1}?
1/2
Calculate prob of sequence jm when two letters picked without replacement from mjnxnmknn.
1/36
Two letters picked without replacement from {c: 1, t: 2}. Give prob of sequence tc.
1/3
Four letters picked without replacement from {v: 2, o: 1, n: 3, s: 2, d: 9, r: 3}. Give prob of sequence sons.
1/19380
What is prob of sequence dx when two letters picked without replacement from {f: 3, d: 3, g: 2, x: 1, v: 1}?
1/30
Four letters picked without replacement from memmeemmmebmeeemeb. Give prob of sequence eeme.
28/765
Three letters picked without replacement from agcyacaags. Give prob of sequence asy.
1/180
Calculate prob of sequence is when two letters picked without replacement from {s: 3, y: 5, i: 2}.
1/15
Two letters picked without replacement from xfxxxxxxxxxxxxxfxx. Give prob of sequence xf.
16/153
Three letters picked without replacement from {l: 1, m: 2, o: 1}. Give prob of sequence mol.
1/12
What is prob of sequence uqe when three letters picked without replacement from {r: 1, s: 1, u: 1, e: 2, q: 1, z: 2}?
1/168
Calculate prob of sequence uuu when three letters picked without replacement from {c: 1, u: 3}.
1/4
What is prob of sequence hhh when three letters picked without replacement from ohooooohoohohhohoo?
5/204
Two letters picked without replacement from ptuptpupppuujpvvtj. What is prob of sequence vt?
1/51
Four letters picked without replacement from {x: 3, v: 1, r: 13}. What is prob of sequence vxrx?
13/9520
What is prob of sequence nzm when three letters picked without replacement from {n: 1, r: 2, m: 1, z: 5}?
5/504
Four letters picked without replacement from qqqqnnqqnq. What is prob of sequence nnqn?
1/120
Calculate prob of sequence eavv when four letters picked without replacement from iveivveievaaaaaea.
3/595
Three letters picked without replacement from ppppppppppptppppppp. What is prob of sequence ptp?
1/19
Calculate prob of sequence eeue when four letters picked without replacement from {j: 1, e: 4, u: 2}.
2/35
Calculate prob of sequence fm when two letters picked without replacement from {n: 2, e: 4, m: 1, p: 3, f: 2}.
1/66
What is prob of sequence tt when two letters picked without replacement from uuuuuutuuuuuuuuutuuu?
1/190
Four letters picked without replacement from {k: 4, f: 3, d: 1}. What is prob of sequence fdfk?
1/70
Four letters picked without replacement from {k: 6, p: 4, v: 2}. What is prob of sequence vkpv?
2/495
Three letters picked without replacement from rggggrggggggrggg. What is prob of sequence grr?
13/560
What is prob of sequence mmr when three letters picked without replacement from {m: 5, k: 2, r: 1, d: 1}?
5/126
Calculate prob of sequence xrra when four letters picked without replacement from faaarrxa.
1/210
What is prob of sequence qi when two letters picked without replacement from qqimmqiqqqii?
2/11
What is prob of sequence zz when two letters picked without replacement from {t: 8, z: 2}?
1/45
Three letters picked without replacement from tthtzhhtht. What is prob of sequence tht?
1/9
What is prob of sequence gg when two letters picked without replacement from hhgztztg?
1/28
Calculate prob of sequence ojqo when four letters picked without replacement from wqwhqhjwownjoj.
1/2002
Four letters picked without replacement from lllulyutluloudulo. What is prob of sequence tuou?
1/1428
What is prob of sequence mf when two letters picked without replac
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{
"pile_set_name": "DM Mathematics"
}
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)**(2/11)/((q/(q/(q*q/((q*(q*q*q/(q**30*q*q*q))/q)/q)*q*q)))/q**(-12/11)) assuming q is positive.
q**(-445/11)
Simplify ((((p**(-6)/p)**16)**(3/28))**20)**(2/15) assuming p is positive.
p**(-32)
Simplify ((t**(2/7))**(9/8)*(t**(-2/3))**(-30))/((t*t**0*t)**(1/13)*t**0/t**(-1/3)) assuming t is positive.
t**(21659/1092)
Simplify x**(1/6)/(x**(-1/11)*x*x)*x**(-7)/x**(-2)*(((x**(-7/4)/x)/x)/x)/x*x**(1/5)*x*x**(-2/3)*x*x/x**(1/3)*x assuming x is positive.
x**(-6133/660)
Simplify (h**1/h)**29/(h**1)**(-44)*(h**5/((h*h*h**(2/3)*h*h*h)/h))**25 assuming h is positive.
h**(157/3)
Simplify p**(-6)*p/(p**3/p)*p**(-5)/p**(-1/4)*(p**2/(p**0/p))/(p**(-2/5))**43 assuming p is positive.
p**(169/20)
Simplify ((v**(-1))**(-1/7))**(-46)*(v*v/((v/(v*v**(-1)))/v)*v**(-7)*v)**34 assuming v is positive.
v**(-998/7)
Simplify ((v/(v/(v*v**11/v)*v))**4/(v/v**33*v**23))**(-49) assuming v is positive.
v**(-2401)
Simplify (s**13/((s*(s/s**9)/s)/s)*s**(-7)/(s*s*s**(3/17)*s*s))**(-29) assuming s is positive.
s**(-5336/17)
Simplify (((i*i**(4/9)*i)/i**(-3/13)*(i*i*i*i**(-2/9))**(-2/3))**34)**(-3/26) assuming i is positive.
i**(-4913/1521)
Simplify ((l**(-2/7))**(-3/17))**(-6/7)*((((((l/l**1)/l)/l*l)/l)/l)/l**(-1))/((l/((l**(2/15)*l)/l))/((l/((l*l*l/(l*l*l**0/l)*l)/l))/l)) assuming l is positive.
l**(-61349/12495)
Simplify ((y**(-2/5)/y)**(-24)/(y/y**(-1/7)*y**(1/33)))**(4/31) assuming y is positive.
y**(149812/35805)
Simplify (s**4/(s*s/s**(-4)))**(10/3)/((s**0)**(-48)/(s**(1/2)*s*s**(-5/2))) assuming s is positive.
s**(-23/3)
Simplify (h*h**(2/3))**(-5/3)*(h**0)**25*(h**4/h*(h*h/h**(2/17))/h)/((h/(h**(3/4)*h*h))/h**(-3)) assuming h is positive.
h**(-89/612)
Simplify ((a/(a/(a**(-5/7)*a)))/((a**4/a*a)/a))/(a**(-1))**38*a*a/(a/(((a*a/a**6*a)/a*a)/a))*a*a**(-1)*(a*a/(a**0*a))**24 assuming a is positive.
a**(394/7)
Simplify ((((c*c*c**(-2/3))/c)/c)/(c/(c*c**(8/5))))**(-13/5)/((c/((c*c**(1/5))/c))**50)**(-30/11) assuming c is positive.
c**(87998/825)
Simplify v**29*(v*v**6)/v*(v*v*v/(v*v*v*v*v**(-46)*v*v*v)*v*v*v)/((v/(v/v**(-2/15)*v))/v) assuming v is positive.
v**(1232/15)
Simplify ((g*g/(g/g**(-14)*g))**(2/41)*g**22*g*g*(g/(g/(g/g**34)))/g)**(-5/9) assuming g is positive.
g**(730/123)
Simplify ((s/(s*s*((s/(s/(((s*s**4)/s)/s)*s))/s)/s*s)*s/s**(4/7))/(s*(s/(s**(-2/7)*s))/s)**26)/(s**(1/3)/(s/(s/(s**(3/2)*s))))**(-2/41) assuming s is positive.
s**(-1120/123)
Simplify (b*b/(b*b/(b/(b/(b**(-6)*b*b))))*b**(-2)*b*b/((b/b**7*b)/b)*b**(-2/5))/((b**1*b*b)**(-4/31))**14 assuming b is positive.
b**(1088/155)
Simplify (((b**(1/4)*b**(-10))/(b/(b**2/b)*b**(-3)))**28)**26 assuming b is positive.
b**(-4914)
Simplify ((v*v**0*v)/(v/((v**(3/8)/v)/v))*(v**(-1))**(-16))/((v**(-1))**10*(v*v**(1/4)/v*v)**22) assuming v is positive.
v**(-17/8)
Simplify (((i/(i*i**1*i))/i)**(2/45))**(48/11)*(((i*i/(i**(-1/6)/i)*i)/i)/i**(2/5))**(19/6) assuming i is positive.
i**(3239/396)
Simplify (((m**(2/21)/m)/m)/(m**38/m)*(m*m/(m*m*m/(m*m*m*(((((m/(m*m*m**(-1/4)))/m*m)/m)/m)/m)/m)*m*m))**(-50))**(-27) assuming m is positive.
m**(-75069/14)
Simplify (h**0)**34*(h*h*h*h**(-4)*h*h)/h**0*(h**(-1/5)/(h*h/h**5))**36 assuming h is positive.
h**(509/5)
Simplify (((g**0/g)/g)**30/(g/g**(-4)*g/((g/(g**(-2/21)/g))/g)))/(g**(-1)*g*g**8*g)**(-1/54) assuming g is positive.
g**(-2719/42)
Simplify (j*j**(-1/17)*(j**(-6/5)/j)/j)**(-2/25)*(j**0*j*j/j**2)/(j**(-2)/j)**(14/3) assuming j is positive.
j**(30134/2125)
Simplify n**(-3)*n*n**(-5/3)*n**(-4)*n/n**(-3/2)*(n**5*n*n**(2/9))**(-5/4) assuming n is positive.
n**(-233/18)
Simplify ((h/(h*h/h**2))/((h*h/(h/h**(-1/4)))/h*h))**(-48)*(h**(2/3))**2/((h/(h*h**(1/4)/h)*h*h)/h)**(3/35) assuming h is positive.
h**(-649/60)
Simplify (x/x**(-2/5))**(-25/6)*x**6*x**(-2)/x*(x**(-3)/x**2)**(-9) assuming x is positive.
x**(253/6)
Simplify (p**(3/2)*p**0)**(-9/11)/((((p*p**(-2/9)*p)/p)/p*p**6)/((p**(4/3)*p)/((p*p**(-1/4))/p))) assuming p is positive.
p**(-1751/396)
Simplify c**(-47)*c**(-42)*c*c*c*c**9*c*(c*c*c*c**20)/c assuming c is positive.
c**(-54)
Simplify (c**(3/4)/c**6)**41/(((c/c**(-1))/(c*c*(c/(c**3*c))/c))/((c**(-1/2)*c)/c)**(6/5)) assuming c is positive.
c**(-4397/20)
Simplify (((m/(m/m**2)*m**(-2/27)/m)/(m**(-5/2)/m*m**(-16)))**20)**(-6) assuming m is positive.
m**(-22060/9)
Simplify (h**(5/2)/h*h/(h/(h*h*h**(-2/3)/h)))**4/((h**(-1/2)*h)**(-5/8)*h*(h/(h/h**1*h))/h*h*h*h*h**(-4)*h) assuming h is positive.
h**(367/48)
Simplify (k*k**(2/7))**(-8/11)*(k*k/(k/k**(-2/3)))/k**(2/19)*(k/(k*k**(-1/12)/k*k)*(k/k**3)/k*k)**30 assuming k is positive.
k**(-510941/8778)
Simplify ((b*b**8)/b*b/(b/(b/(b/b**(5/6))*b))*(b**0*b)**(40/9))/((b**0)**(-13)*(b*b**(-7)*b*b)/(b/((b/b**(1/12)*b)/b*b))) assuming b is positive.
b**(625/36)
Simplify ((q**3/q)**24)**(-9/11)/(q**2*q**(2/3)*(q/(q**(-5)/q*q))/q*q**(1/4)) assuming q is positive.
q**(-6229/132)
Simplify (k**(-2/3)*k*k/(((k*k**(-9)*k)/k*k)/k))**(-2/29)*(k*k**1/k)**(-1/24)/(k**(-5)*k**(4/7)) assuming k is positive.
k**(6079/1624)
Simplify ((i*i/(i/(i/((i**(-5/2)*i)/i))))**(-2/107)/(i**(14/11)*i**(12/7)))**39 assuming i is positive.
i**(-986817/8239)
Simplify ((k**(1/5)/(k/k**(-2/7)))/((k/(k*k*k*k**6))/(k*k**(-3))))/(k**2/(k*k**(-2))*k**(2/11)/k**(-5)) assuming k is positive.
k**(-1258/385)
Simplify ((b**0/b)**22)**(-1/4)/(((b/(b*(b*b**7)/b*b))/b*b)/(b**(3/5)/b))**(11/5) assuming b is positive.
b**(1111/50)
Simplify s/(s/(s*(s**(-1)/s)/s))*s**(2/19)*(((s**(-1/2)*s)/s)/s)/s**(-1/9)*(s**(1/2))**46/(s**(-2/17)*s**(-2/17)*s) assuming s is positive.
s**(110185/5814)
Simplify (z/z**8*z*z**(2/5)/z*z*z)**(-5/7)*((z**(-1/3)/z)/(z*z**3/z))/(((z/(z*z**2))/z)/(z*z*z/(z**(-7)/z))) assuming z is positive.
z**(272/21)
Simplify ((m*m**(-16))/m*m**(1/14)*((m/((m*m*(m/m**(-10))/m)/m))/m)**(10/9))**43 assuming m is positive.
m**(-152521/126)
Simplify (((p/(((p*p**3*p)/p)/p*p))**(-17)/(p/((p/(p*p*p**2)*p)/p))**(9/8))**(1/19))**(-23/4) assuming p is positive.
p**(-2139/152)
Simplify (l**(-4/5)*l**(-1/2))/(l**2)**(2/5)*l/l**(2/7)*(l/l**(1/5))/l*(l/(l**(-1/4)/l))**33 assuming l is positive.
l**(10173/140)
Simplify (((v*((v**(-1/4)*v*v)/v*v)/v)/v*v)/v)**(-35/4)*v**(1/2)*v**6*(v*v**(-3/4)*v)/(v**9/v)*v**(2/13)/v**(1/8) assuming v is positive.
v**(-1411/208)
Simplify ((w/w**(3/4))/((w**(-1/8)*w*w)/w))**(-3/2)*(w**2)**(-4/27)/(w**(-1/2)*w)**(2/15) assuming w is positive.
w**(1241/2160)
Simplify ((n*n**(-4/3)*n)/(n**(-2/17)*n))**(2/73)/(((n*n**(-2/5))/n)**(-3/7)*((n**0*n*n)/n*n)**(-28)) assuming n is positive.
n**(7273972/130305)
Simplify g**2/((g/(g**1/g))/g)*(g*(g*g*g**(2/3))/g*g)/(((g/g**1)/g)/g*g)*(((g**(-3/4)/g)/g)/g*g**(1/6))**(-1) assuming g is positive.
g**(41/4)
Simplify ((v/v**5*v**2*v**(1/2)*(v*v**(1/2))/v)**(-2/41))**(-3/4) assuming v is positive.
v**(-3/82)
Simplify ((c**(1/2)*c)**(-26)*(c*c**0)**(-14))/((c*c*c**(2/3))**31/(((c*c**4/c*c*c)/c*c)/(c*c**2*c))) assuming c is positive.
c**(-401/3)
Simplify ((z**(-2/3))**(2/5)*z/z**3*z*z**26/z)**(-3/20) assuming z is positive.
z**(-89/25)
Simplify ((j**(1/3))**(-10/17)/(j**0)**(-1/4))/((j**1)**15*(j*j/(j**(-7)*j*j)*j*j)/j**(5/3)) assuming j is positive.
j**(-383/17)
Simplify ((a**(-3/4)*a)/a*a*a**(1/5)*a**43/(a*(a/(a/(a**(-5/4)*a)))/a))**(-1) assuming a is positive.
a**(-437/10)
Simplify (v*v*(v*v/v**(-1/2))/v)**(-6/11)*((v/(v*v**0))/v)/(v**(4/5)/v)*v/v**(-1/2)*v/(v/(v*v**(-4/7)))*v*(v/(v**(1/4)/v))**(-14) assuming v is positive.
v**(-9348/385)
Simplify (h*h/h**(1/5)*h**11)**(-48)*(h**(-1)/(h/(h**(-10)*h)))**38 assuming h is positive.
h**(-5162/5)
Simplify b/(b/b**(3/5))*b*b**(-2/19)*b**(-2/7)/(b**(-2/7)/b)*(b**0/(b/(b**(2/7)/b)))/((b*b**5)/(b*b**4)) assuming b is positive.
b**(-146/665)
Simplify w*w**2/w*w/(w*(w/((w/w**(-2))/w))/w)*w*(w**(1/2))**(-22)*((((w**(1/4)*w)/w)/w)/w**2)**(2/17) assuming w is positive.
w**(-215/34)
Simplify ((l*(l/l**23)/l)/(l**7/l)*l*l*l**(-34)*l**8)**(19/5) assuming l is positive.
l**(-988/5)
Simplify ((q**0/(q*q**0*q))/(q**(6/7))**46)**(-2/93) assuming q is positive.
q**(580/651)
Simplify (f*(f/(f*f**5))/f*f*f**(-1)*(f**(-2/7))**(-43))/((f**(-1/4))**(-13)/((f*(f**(1/7)/f)/f*f)/f*(f**(3/5)/f)/f)) assuming f is positive.
f**(249/140)
Simplify (m/(m**(2/3)*m)*m*(m**(1/6)*m)/m)/(((m/(m*m*m/(m*m/m**(-2/5))))/m)/(m**2*m*m))*m*m**(1/2)*m**(-5)*m*(m**(-1/10)*m)/m**0 assuming m is positive.
m**(7/2)
S
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{
"pile_set_name": "DM Mathematics"
}
|
a and 1 j.
16/153
What is prob of picking 1 d and 2 l when three letters picked without replacement from {d: 5, l: 7, y: 7}?
35/323
Two letters picked without replacement from vaoavbaaaoa. Give prob of picking 1 v and 1 a.
12/55
What is prob of picking 1 k, 1 d, 1 c, and 1 o when four letters picked without replacement from odckdcddjodcdkckc?
9/119
Three letters picked without replacement from {e: 1, a: 1, u: 4, m: 3, o: 1, w: 2}. What is prob of picking 1 e, 1 a, and 1 m?
3/220
What is prob of picking 1 e and 1 j when two letters picked without replacement from {y: 2, e: 4, r: 2, a: 6, j: 2, f: 4}?
4/95
Two letters picked without replacement from oppmpmmpvvvyjv. What is prob of picking 2 m?
3/91
Two letters picked without replacement from eezzz. Give prob of picking 1 e and 1 z.
3/5
What is prob of picking 1 n and 1 d when two letters picked without replacement from nludoloolndndjdnoo?
16/153
What is prob of picking 1 n and 1 p when two letters picked without replacement from {p: 1, a: 3, d: 7, u: 2, n: 5}?
5/153
Calculate prob of picking 2 z when two letters picked without replacement from zzzjjjzjjj.
2/15
Calculate prob of picking 1 h and 2 c when three letters picked without replacement from {c: 4, h: 15}.
30/323
Calculate prob of picking 3 d and 1 h when four letters picked without replacement from {d: 10, h: 4}.
480/1001
Calculate prob of picking 1 l and 1 y when two letters picked without replacement from yvlvv.
1/10
Two letters picked without replacement from {m: 13, u: 3}. What is prob of picking 2 u?
1/40
Three letters picked without replacement from jjjeeejjjjeheeeejjee. What is prob of picking 2 j and 1 e?
6/19
Two letters picked without replacement from llrhhhh. Give prob of picking 1 l and 1 h.
8/21
Four letters picked without replacement from phhhghppgpgpppphppg. Give prob of picking 3 h and 1 p.
25/969
Two letters picked without replacement from {i: 4, f: 2, p: 2, k: 1}. Give prob of picking 1 f and 1 k.
1/18
Calculate prob of picking 1 s and 1 i when two letters picked without replacement from nsiss.
3/10
What is prob of picking 1 z and 1 a when two letters picked without replacement from azama?
3/10
Two letters picked without replacement from {f: 9, p: 11}. Give prob of picking 2 f.
18/95
Three letters picked without replacement from ujkssnusknsuskssskk. What is prob of picking 1 n, 1 j, and 1 k?
10/969
Calculate prob of picking 1 v, 1 w, and 1 z when three letters picked without replacement from zvzzzzvvwwkwzzvv.
3/16
Two letters picked without replacement from {o: 3, b: 5, x: 2, d: 1, y: 1}. Give prob of picking 2 x.
1/66
Four letters picked without replacement from xpzpvrxvxxvx. What is prob of picking 1 x, 2 p, and 1 r?
1/99
Four letters picked without replacement from okkkkkkkokkkookoook. Give prob of picking 2 o and 2 k.
231/646
Two letters picked without replacement from {i: 4}. What is prob of picking 2 i?
1
Three letters picked without replacement from {h: 3, y: 4, j: 4}. Give prob of picking 3 h.
1/165
Calculate prob of picking 1 m and 1 o when two letters picked without replacement from mmoa.
1/3
What is prob of picking 2 u and 2 e when four letters picked without replacement from {v: 1, a: 3, e: 5, u: 6}?
10/91
Two letters picked without replacement from auua. Give prob of picking 2 a.
1/6
Two letters picked without replacement from beasba. What is prob of picking 1 b and 1 e?
2/15
Calculate prob of picking 1 p and 1 s when two letters picked without replacement from zszsccszpzzcszs.
1/21
Two letters picked without replacement from {t: 5, h: 7, n: 3, r: 2}. Give prob of picking 1 t and 1 r.
5/68
Three letters picked without replacement from jhnjojoqvjjovjjovqoj. What is prob of picking 1 h, 1 q, and 1 j?
4/285
Four letters picked without replacement from vxhhr. What is prob of picking 2 h, 1 r, and 1 x?
1/5
Calculate prob of picking 1 k and 2 q when three letters picked without replacement from {q: 2, k: 4, c: 4}.
1/30
Three letters picked without replacement from {b: 9, a: 7}. What is prob of picking 1 b and 2 a?
27/80
Calculate prob of picking 1 l and 1 d when two letters picked without replacement from ddl.
2/3
Two letters picked without replacement from {j: 1, h: 2, e: 2, x: 1, z: 1}. What is prob of picking 1 z and 1 h?
2/21
What is prob of picking 2 r and 1 q when three letters picked without replacement from trrqttttrttttrttrt?
5/408
Calculate prob of picking 1 c and 1 t when two letters picked without replacement from {c: 1, z: 4, t: 3, n: 2, k: 2, s: 2}.
3/91
Two letters picked without replacement from kkkkkkxxkkkkkkkx. Give prob of picking 2 k.
13/20
Four letters picked without replacement from {l: 3, d: 2}. What is prob of picking 3 l and 1 d?
2/5
What is prob of picking 1 r, 1 z, and 1 n when three letters picked without replacement from {i: 3, z: 1, n: 2, j: 2, m: 2, r: 2}?
1/55
What is prob of picking 4 q when four letters picked without replacement from {w: 10, q: 9}?
21/646
Calculate prob of picking 1 w and 1 u when two letters picked without replacement from uuw.
2/3
Four letters picked without replacement from mddmmwwdmwwmddmwdwd. Give prob of picking 1 m, 2 d, and 1 w.
63/323
Two letters picked without replacement from {k: 4, j: 1, b: 2, t: 1}. What is prob of picking 1 k and 1 b?
2/7
What is prob of picking 2 p and 2 v when four letters picked without replacement from zepvevvevzevpvz?
1/91
What is prob of picking 1 j and 1 k when two letters picked without replacement from kkjkjjkkkkkkkkkk?
13/40
Two letters picked without replacement from {v: 3, e: 1, k: 5}. What is prob of picking 2 k?
5/18
What is prob of picking 2 i and 1 y when three letters picked without replacement from iiyiiiyiiii?
24/55
What is prob of picking 2 z when two letters picked without replacement from {z: 7, r: 1}?
3/4
Calculate prob of picking 1 w, 2 m, and 1 p when four letters picked without replacement from {p: 1, l: 1, y: 4, w: 4, m: 3, s: 1}.
12/1001
Two letters picked without replacement from {u: 1, q: 6, j: 2, y: 3}. What is prob of picking 1 u and 1 q?
1/11
Four letters picked without replacement from ffqqfqffhq. Give prob of picking 3 f and 1 h.
1/21
Calculate prob of picking 1 b and 1 z when two letters picked without replacement from kzkbzbzzz.
5/18
Two letters picked without replacement from dtteeecdmd. Give prob of picking 1 m and 1 e.
1/15
Calculate prob of picking 1 p, 1 u, and 1 j when three letters picked without replacement from puvpuxvjxxxxvv.
1/91
Calculate prob of picking 2 k and 1 a when three letters picked without replacement from {a: 2, o: 6, k: 5}.
10/143
What is prob of picking 2 e when two letters picked without replacement from eeeegeee?
3/4
Three letters picked without replacement from {b: 7}. Give prob of picking 3 b.
1
Two letters picked without replacement from {h: 2, s: 1, l: 1, d: 1}. Give prob of picking 1 s and 1 d.
1/10
What is prob of picking 1 j and 1 w when two letters picked without replacement from jluiuuuwwilzll?
2/91
Four letters picked without replacement from qkgghffjhkjk. Give prob of picking 2 h, 1 j, and 1 g.
4/495
Three letters picked without replacement from {x: 1, f: 1, z: 3, o: 4, c: 4}. What is prob of picking 3 o?
2/143
Two letters picked without replacement from {c: 2, e: 1, n: 2, k: 2, y: 1}. Give prob of picking 2 c.
1/28
Four letters picked without replacement from {p: 1, f: 7, k: 2, z: 2, b: 2, m: 1}. Give prob of picking 1 p, 2 k, and 1 m.
1/1365
Four letters picked without replacement from bbybbbgbzzby. What is prob of picking 2 b and 2 z?
7/165
Calculate prob of picking 1 y and 1 g when two letters picked without replacement from {a: 4, y: 6, g: 3, l: 1, x: 1}.
6/35
What is prob of picking 1 t, 1 l, and 2 h when four letters picked without replacement from urlhrurtuh?
1/210
Four letters picked without replacement from {c: 14, n: 5}. Give prob of picking 3 c and 1 n.
455/969
Calculate prob of picking 3 y when three letters picked without replacement from ccyccyyyyrccycyrcyy.
28/323
Calculate prob of picking 1 y, 1 g, and 1 a when three letters picked without replacement from {h: 2, g: 3, b: 1, a: 10, y: 3}.
30/323
What is prob of picking 2 f, 1 y, and 1 x when four letters picked without replacement from {v: 3, x: 1, e: 2, f: 4, y: 2}?
4/165
Calculate pro
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{
"pile_set_name": "DM Mathematics"
}
|
the prime factors of 195210.
2, 3, 5, 241
What are the prime factors of 886294?
2, 443147
List the prime factors of 300021.
3, 97, 1031
What are the prime factors of 13031810?
2, 5, 11, 118471
List the prime factors of 201326.
2, 43, 2341
List the prime factors of 733952.
2, 47, 61
List the prime factors of 35600.
2, 5, 89
List the prime factors of 294002.
2, 29, 37, 137
What are the prime factors of 30909846?
2, 3, 11, 19, 157
What are the prime factors of 35638?
2, 103, 173
List the prime factors of 563380.
2, 5, 17, 1657
What are the prime factors of 16247829?
3, 13, 73, 439
List the prime factors of 269665.
5, 11, 4903
What are the prime factors of 296492?
2, 7, 10589
List the prime factors of 3693583.
83, 44501
List the prime factors of 1947890.
2, 5, 7, 27827
What are the prime factors of 455460?
2, 3, 5, 7591
List the prime factors of 4161494.
2, 19, 97, 1129
What are the prime factors of 12607224?
2, 3, 7, 101, 743
What are the prime factors of 426885?
3, 5, 149, 191
What are the prime factors of 279131?
279131
What are the prime factors of 552684?
2, 3, 11, 53, 79
List the prime factors of 20016839.
20016839
List the prime factors of 438736.
2, 17, 1613
What are the prime factors of 6425203?
307, 20929
List the prime factors of 37244575.
5, 1489783
What are the prime factors of 346746?
2, 3, 57791
List the prime factors of 233099.
257, 907
List the prime factors of 462961.
17, 113, 241
What are the prime factors of 2806788?
2, 3, 151, 1549
What are the prime factors of 2306521?
7, 329503
What are the prime factors of 283780?
2, 5, 7, 2027
List the prime factors of 120692.
2, 11, 13, 211
List the prime factors of 3091878.
2, 3, 31, 1847
List the prime factors of 452945.
5, 157, 577
List the prime factors of 710.
2, 5, 71
What are the prime factors of 13078367?
3259, 4013
List the prime factors of 4537800.
2, 3, 5, 2521
List the prime factors of 4782081.
3, 1594027
List the prime factors of 1070397.
3, 23, 5171
What are the prime factors of 4197550?
2, 5, 7, 67, 179
What are the prime factors of 134758?
2, 13, 71, 73
What are the prime factors of 10559794?
2, 7, 277, 389
What are the prime factors of 1554797?
1554797
List the prime factors of 3207467.
193, 16619
What are the prime factors of 58195?
5, 103, 113
List the prime factors of 21933.
3, 2437
List the prime factors of 1528573.
53, 151, 191
List the prime factors of 2044914.
2, 3, 340819
What are the prime factors of 223038?
2, 3, 12391
List the prime factors of 102088.
2, 7, 1823
What are the prime factors of 218389?
218389
What are the prime factors of 2048575?
5, 81943
List the prime factors of 27016836.
2, 3, 7, 11, 4177
What are the prime factors of 17727406?
2, 8863703
List the prime factors of 1625774.
2, 227, 3581
List the prime factors of 32069.
32069
What are the prime factors of 2383473?
3, 794491
What are the prime factors of 494744?
2, 61843
What are the prime factors of 421560?
2, 3, 5, 1171
List the prime factors of 710986.
2, 433, 821
List the prime factors of 754581.
3, 251527
List the prime factors of 4928067.
3, 37, 4933
What are the prime factors of 3110366?
2, 7, 29, 47, 163
List the prime factors of 10793257.
263, 41039
List the prime factors of 8851172.
2, 11, 201163
List the prime factors of 2530985.
5, 37, 13681
List the prime factors of 262707.
3, 67, 1307
List the prime factors of 515914.
2, 7, 43, 857
What are the prime factors of 349358?
2, 174679
List the prime factors of 3091766.
2, 71, 21773
What are the prime factors of 171960?
2, 3, 5, 1433
List the prime factors of 34667.
34667
What are the prime factors of 2713354?
2, 7, 193811
List the prime factors of 2916178.
2, 107, 13627
What are the prime factors of 514039?
47, 10937
List the prime factors of 13502499.
3, 1559, 2887
What are the prime factors of 219369?
3, 83, 881
List the prime factors of 862226.
2, 59, 7307
What are the prime factors of 164226?
2, 3, 101, 271
List the prime factors of 202641.
3, 67547
List the prime factors of 167424.
2, 3, 109
What are the prime factors of 223699?
7, 31957
List the prime factors of 24894103.
13, 17, 112643
What are the prime factors of 5696780?
2, 5, 284839
List the prime factors of 15694784.
2, 7, 53, 661
List the prime factors of 894960.
2, 3, 5, 11, 113
What are the prime factors of 192728?
2, 24091
List the prime factors of 1929799.
179, 10781
What are the prime factors of 3468400?
2, 5, 13, 23, 29
What are the prime factors of 230968?
2, 28871
List the prime factors of 226553.
226553
List the prime factors of 10898267.
19, 31, 18503
List the prime factors of 1123311.
3, 7, 149, 359
What are the prime factors of 23730?
2, 3, 5, 7, 113
List the prime factors of 3265983.
3, 7, 47, 1103
List the prime factors of 737986.
2, 31, 11903
List the prime factors of 446661.
3, 71, 233
What are the prime factors of 1471366?
2, 13, 56591
List the prime factors of 288597.
3, 96199
What are the prime factors of 2931075?
3, 5, 7, 1861
What are the prime factors of 4037735?
5, 13, 62119
List the prime factors of 698614.
2, 7, 139, 359
What are the prime factors of 7044149?
7, 1006307
List the prime factors of 4154145.
3, 5, 23, 12041
List the prime factors of 8580445.
5, 1716089
What are the prime factors of 343987?
7, 157, 313
What are the prime factors of 797866?
2, 398933
List the prime factors of 33013.
33013
What are the prime factors of 210230?
2, 5, 21023
List the prime factors of 3591324.
2, 3, 11, 3023
What are the prime factors of 2810709?
3, 11, 29, 89
List the prime factors of 649465.
5, 129893
What are the prime factors of 6122639?
109, 56171
What are the prime factors of 250489?
250489
List the prime factors of 11802675.
3, 5, 17, 9257
What are the prime factors of 138120?
2, 3, 5, 1151
List the prime factors of 1732845.
3, 5, 115523
List the prime factors of 2256924.
2, 3, 31, 6067
List the prime factors of 261293.
41, 6373
What are the prime factors of 944603?
11, 79, 1087
List the prime factors of 8161760.
2, 5, 29, 1759
List the prime factors of 2094544.
2, 109, 1201
What are the prime factors of 2797154?
2, 1398577
What are the prime factors of 531296?
2, 16603
List the prime factors of 103010.
2, 5, 10301
List the prime factors of 34233.
3, 11411
List the prime factors of 2147406.
2, 3, 17, 37, 569
What are the prime factors of 919964?
2, 349, 659
What are the prime factors of 14974511?
137, 109303
List the prime factors of 581684.
2, 31, 4691
What are the prime factors of 224701?
37, 6073
List the prime factors of 16671267.
3, 1852363
What are the prime factors of 1316950?
2, 5, 26339
List the prime factors of 1780969.
1780969
List the prime factors of 247424.
2, 1933
What are the prime factors of 215085?
3, 5, 13, 1103
List the prime factors of 216606.
2, 3, 13, 2777
List the prime factors of 5469796.
2, 19, 71971
What are the prime factors of 1067214?
2, 3, 83, 2143
What are the prime factors of 625896?
2, 3, 8693
What are the prime factors of 195138?
2, 3, 37, 293
List the prime factors of 728810.
2, 5, 31, 2351
What are the prime factors of 474387?
3, 158129
What are the prime factors of 10355635?
5, 17, 23, 5297
List the prime factors of 8647526.
2, 17, 107, 2377
List the prime factors of 2721225.
3, 5, 13, 2791
List the prime factors of 1231730.
2, 5, 37, 3329
List the prime factors of 1439511.
3, 43, 11159
List the prime factors of 335667.
3, 41, 2729
What are the prime factors of 2493068?
2, 47, 89, 149
What are the prime factors of 90188?
2, 7, 3221
List the prime factors of 556962.
2, 3, 7, 89, 149
List the prime factors of 251946.
2, 3, 13997
What are the prime factors of 2700568?
2, 13, 23, 1129
What are the prime factors of 61403?
61403
What are the prime factors of 1664516?
2, 7, 59447
List the prime factors of 3784736.
2, 118273
List the prime factors of 5811152.
2, 251, 1447
List the prime factors of 2257317.
3, 250813
What are the prime factors of 91032?
2, 3, 3793
List the prime factors of 14245.
5, 7, 11, 37
What are the prime factors of 13068657?
3, 7, 283, 733
List the prime factors of 3248199.
3, 107, 3373
List the prime factors of 5741856.
2, 3, 19937
What are the prime factors of 2358681?
3, 13, 197, 307
List the prime factors of 76311.
3, 61, 139
What are the prime factors of 4251580?
2, 5, 212579
List the prime f
|
{
"pile_set_name": "DM Mathematics"
}
|
culate v(-107).
-9
Let s(j) = -j**3 - 37*j**2 + 208*j + 9. Give s(5).
-1
Let w(j) = -121*j**3 - 13*j**2 - 11*j + 3. Calculate w(-1).
122
Let r(u) = -2*u**3 + 11*u + 3. Determine r(-3).
24
Let w(r) = r**3 + 6*r + 90. Determine w(0).
90
Let c(n) = n**3 - 73*n**2 - 172. Determine c(73).
-172
Let b(w) = -2*w**3 + 178*w**2 - 149. What is b(89)?
-149
Let f(i) = -5*i**2 - 161*i + 702. What is f(-36)?
18
Let k(y) = y**3 - 18*y**2 + 74*y + 30. Calculate k(10).
-30
Let k(f) = -12*f**2 + 56*f + 228. Determine k(-5).
-352
Let q(d) = -238*d - 5463. Give q(-23).
11
Let u(m) = -5*m**2 + 104*m - 328. What is u(4)?
8
Let r(x) = -24*x - 12. Give r(2).
-60
Let d(u) = 2*u**3 + 12*u**2 - 149*u - 926. Give d(-6).
-32
Let l(x) = -91*x**2 + 19*x + 53. Determine l(-3).
-823
Let v(j) = 154*j - 2098. Give v(14).
58
Let y(q) = 134*q + 497. Calculate y(-5).
-173
Let m(p) = 17*p**2 + 22*p + 44. Determine m(-2).
68
Let v(x) = -x**2 - 29*x + 37. What is v(7)?
-215
Let q(h) = -47*h - 739. Give q(-15).
-34
Let i(d) = 171*d + 696. Calculate i(-4).
12
Let u(n) = -n**3 - 35*n**2 - 54*n - 61. Give u(-33).
-457
Let x(m) = m**2 + 3*m - 95. Determine x(8).
-7
Let s(b) = -b**3 - 15*b**2 + 35*b + 27. Determine s(-17).
10
Let o(d) = -d**2 - 110*d - 1003. Give o(-100).
-3
Let x(l) = -l**3 + 50*l**2 - 91. Determine x(50).
-91
Let i(v) = 2*v**3 + 6*v**2 - 17*v - 91. Calculate i(-4).
-55
Let f(c) = c**2 - 1329*c + 2639. Give f(2).
-15
Let x(d) = 55*d - 5716. What is x(104)?
4
Let f(x) = -258*x + 6150. Determine f(24).
-42
Let u(h) = -4*h**3 - 51*h**2 + 8*h - 65. Give u(-13).
0
Let z(m) = 4*m**3 + m**2 + 84*m - 163. Determine z(2).
41
Let m(z) = 20*z**2 + 111*z - 16. Give m(-5).
-71
Let i(p) = -2*p**2 - 17*p + 40. What is i(-10)?
10
Let j(b) = -514*b - 7151. What is j(-14)?
45
Let f(y) = -6*y**2 - 19*y + 29. Give f(5).
-216
Let d(w) = 2*w**3 + 228*w**2 + 883*w + 328. Determine d(-110).
-2
Let t(l) = 137*l**2 - 22*l + 24. Determine t(1).
139
Let i(x) = 5*x**2 - x + 1. What is i(-7)?
253
Let x(m) = 78*m - 141. Determine x(3).
93
Let g(t) = -139*t**3 - 24*t + 24. Give g(1).
-139
Let t(n) = -n**3 - 13*n**2 + 156*n - 19. Determine t(7).
93
Let t(q) = q**2 - 6*q - 6. Determine t(9).
21
Let f(j) = j**3 - 35*j**2 + 245*j - 36. What is f(9)?
63
Let o(f) = 2*f**2 + 36*f + 3. Determine o(-18).
3
Let q(b) = -46*b + 2389. What is q(54)?
-95
Let r(a) = 2*a**3 - 45*a**2 + 217*a + 82. Give r(6).
196
Let i(w) = w**3 - 11*w**2 + 98*w - 858. Determine i(10).
22
Let g(z) = 2*z**2 + 15*z - 28. Calculate g(-10).
22
Let o(g) = 69*g**2 + 422*g + 50. Determine o(-6).
2
Let j(z) = z**2 - 102*z - 1249. Calculate j(113).
-6
Let m(u) = 7*u**2 - 557*u + 8227. Calculate m(60).
7
Let y(f) = f**3 - 6*f**2 + 7*f + 17. Determine y(6).
59
Let w(a) = 5*a**2 - 69*a - 40. Calculate w(22).
862
Let m(i) = -i**2 - 8*i + 46. Calculate m(-13).
-19
Let w(t) = -t**2 - 203*t - 1551. What is w(-8)?
9
Let i(c) = 258*c + 18071. Calculate i(-70).
11
Let z(w) = 11*w**2 + 72*w - 30. Determine z(-7).
5
Let g(i) = -i**2 - 4*i + 84. Give g(13).
-137
Let p(n) = -n**3 - 25*n**2 + 87*n + 49. Give p(-28).
-35
Let x(b) = -9*b**2 + 11*b - 7. Give x(3).
-55
Let y(n) = -3*n**2 - 161*n + 363. What is y(-56)?
-29
Let i(z) = -31*z + 498. Determine i(16).
2
Let q(v) = 1234*v - 34556. Give q(28).
-4
Let a(b) = 132*b - 1446. What is a(15)?
534
Let h(q) = -35*q + 26. What is h(7)?
-219
Let y(x) = -x**3 - 32*x**2 + 451*x + 1277. Calculate y(-42).
-25
Let v(l) = -148*l - 1179. Give v(-8).
5
Let g(d) = -108*d - 3060. Calculate g(-28).
-36
Let g(f) = -2*f**2 + 3*f - 27. What is g(-7)?
-146
Let d(o) = -28*o - 1332. What is d(-48)?
12
Let u(j) = -39*j + 48. What is u(1)?
9
Let a(f) = -f**2 - 32*f + 1210. Give a(-56).
-134
Let y(w) = -2*w**2 + 3*w + 37. Determine y(8).
-67
Let r(g) = -g**3 + 2*g**2 + 58*g + 33. Give r(-8).
209
Let b(m) = 16*m**3 - 6*m**2 - 6*m + 10. Calculate b(1).
14
Let g(k) = -k**3 - 10*k**2 + 636*k + 1077. Calculate g(-30).
-3
Let r(c) = 2*c**3 - 165*c**2 - 85*c + 75. Determine r(83).
-91
Let b(g) = -1052*g**2 - 4206*g + 17. Give b(-4).
9
Let y(u) = u**2 + 2*u + 21. What is y(-8)?
69
Let h(c) = 15*c + 134. Determine h(-13).
-61
Let z(x) = 2*x**3 + 12*x**2 + 2*x + 22. Determine z(-6).
10
Let s(i) = 1138*i - 4567. Determine s(4).
-15
Let s(b) = -b**2 + 28*b + 557. Determine s(41).
24
Let n(z) = z**3 - 36*z**2 - 4*z + 141. Determine n(36).
-3
Let c(t) = 677*t + 14896. Give c(-22).
2
Let g(h) = -15*h - 320. What is g(-30)?
130
Let a(g) = 3*g**3 + 174*g**2 + 2*g + 80. Determine a(-58).
-36
Let p(u) = u**3 + 11*u**2 + 21*u + 73. What is p(-11)?
-158
Let q(f) = -f**3 + 8*f**2 - 15*f + 142. What is q(7)?
86
Let q(j) = 13*j**3 + 13*j**2 + 5*j - 3. Give q(3).
480
Let h(o) = -25*o**2 - 11*o. What is h(4)?
-444
Let o(q) = -46*q + 418. Give o(9).
4
Let a(j) = 264*j - 1052. Determine a(4).
4
Let h(l) = -l**3 - 28*l**2 - 54*l - 54. What is h(-26)?
-2
Let s(f) = 187*f - 157. Give s(1).
30
Let c(w) = -52*w**2 - 412*w + 505. Give c(-9).
1
Let i(w) = 26*w**2 + 60*w - 176. Give i(6).
1120
Let g(a) = 45*a - 67. Give g(-5).
-292
Let u(c) = -12*c**3 + 120*c**2 - 289*c + 5. Determine u(4).
1
Let x(m) = m**2 + 197*m - 2952. Determine x(14).
2
Let j(v) = 14*v + 523. What is j(-66)?
-401
Let n(t) = 21*t - 612. Determine n(28).
-24
Let b(x) = -853*x + 3418. Give b(4).
6
Let p(j) = -j**2 - 364*j + 2203. Determine p(6).
-17
Let n(v) = v**3 + 51*v**2 - 104*v - 31. Determine n(-53).
-137
Let w(o) = -o**2 - 65*o + 11831. Determine w(81).
5
Let d(i) = 2*i**3 - 12*i**2 + 5*i + 12. Calculate d(5).
-13
Let m(b) = 5*b**3 - 2*b**2 + 9*b + 27. What is m(-2)?
-39
Let n(k) = 82*k + 1386. What is n(-17)?
-8
Let j(g) = 499*g**2 - 2504*g + 24. Determine j(5).
-21
Let v(a) = -45*a**2 + 405*a + 1. Determine v(9).
1
Let h(a) = a**2 + 94*a + 1993. Give h(-62).
9
Let f(t) = 6015*t + 114272. Give f(-19).
-13
Let v(a) = 288*a - 313. Determine v(2).
263
Let g(k) = -197*k + 1191. Give g(6).
9
Let d(s) = 141*s + 1128. Calculate d(-8).
0
Let x(f) = -4543*f + 72689. Give x(16).
1
Let b(v) = 87*v - 1414. Give b(16).
-22
Let a(h) = -3*h**3 + 4*h**2 + 9*h + 4. Determine a(-1).
2
Let s(v) = v**2 + 34*v - 2392. Give s(-69).
23
Let s(k) = -63*k**3 + 7*k + 6. Give s(-1).
62
Let w(p) = 2*p**3 - 48*p**2 + 125*p + 33. Determine w(21).
12
Let i(z) = 2*z**3 - 261*z**2 - 114*z - 2219. Give i(131).
8
Let s(b) = -10*b + 253. Determine s(37).
-117
Let a(q) = -9765*q + 39053. Determine a(4).
-7
Let k(y) = -82*y - 5254. What is k(-64)?
-6
Let f(v) = -78*v + 715. Calculate f(11).
-143
Let w(o) = -33*o**3 - 162*o**2 + 26. What is w(-5)?
101
Let y(c) = -3*c**3 + 4*c**2 + 6*c + 9. Give y(-4).
241
Let b(o) = 82*o + 31. Give b(-4).
-297
Let z(x) = 51*x - 380. Give z(7).
-23
Let i(s) = -1935*s - 3865. Determine i(-2).
5
Let i(w) = 129*w - 1. Calculate i(0).
-1
Let u(q) = -10*q + 313. What is u(35)?
-37
Let w(p) = -p**2 + 282*p - 19520. Give w(122).
0
Let s(r) = 30*r - 213. Determine s(8).
27
Let q(r) = -3*r**3 + 182*r**2 - 128*r + 473. Calculate q(60).
-7
Let y(m) = -125*m - 16129. Give y(-129).
-4
Let c(v) = -v**3 + 11*v**2 - 13*v - 9. Give c(11).
-152
Let n(a) = -a**3 - 14*a**2 + 43*a + 135. Determine n(-16).
-41
Let x(p) = 821*p + 10. Calculate x(0).
10
Let d(z) = -2*z**3 + 2*z**2 + 26. Calculate d(0).
26
Let q(k) = -97*k**2 - 186*k + 6. What is q(-2)?
-10
Let k(x) = -82*x - 1147. Calculate k(-14).
1
Let u(f) = f**3 - 9*f**2 + 53*f - 545. What is u(10)?
85
Let q(i) = -5*i + 30. Calculate q(5).
5
Let n(z) = 6*z**2 - 2*z - 72. Calculate n(0).
-72
Let u(k) = k**3 + 34*k**2 + 260*k - 14. Give u(-22).
74
Let d(u) = -17*u - 1030. Calculate d(-58).
-44
Let m(s) = 34*s + 28. Determine m(-1).
-6
Let i(h) = h**3 + 25*h**2 - 29*h + 61. What is i(-26)?
139
Let j(o) = -o**3 - 202*o**2 - 1182*o - 1183. What is j(-196)?
-7
Let a(y) = 8*y + 466. What is a(-29)?
234
Let y(a) = a**2 + 407*a - 3309. What is y(8)?
11
Let g(y) = y**2 + 40*y + 192. Give g(-36).
48
Let n(p) = -58*p + 1913. Calculate n(33).
-1
Let n(s) = s**3 - 27*s**2 + 90*s + 52. Give n(23).
6
Let f(y) = -121*y - 97. Determine f(7).
-944
Let w(s) = -23*s - 85. Determine w(1).
-108
Let v(t) = t**2 + 4*t + 98. Determine v(18).
494
Let t(v) = 5*v**3 + 3*v**2 - 61*v - 126. Determine t(-2).
-32
Let r(t) = -173*t - 10168. Give r(-58).
-134
Let f(c) = 494*c - 1473. Give f(3).
9
Let
|
{
"pile_set_name": "DM Mathematics"
}
|
common multiple of 1935 and 675?
29025
What is the lowest common multiple of 594 and 18216?
54648
What is the common denominator of -53/14 and 1/6652?
46564
Calculate the least common multiple of 111664 and 79760.
558320
Find the common denominator of 93/2750 and -73/550.
2750
Find the common denominator of 10/69 and 32/1771.
5313
Calculate the common denominator of -61/1366476 and -3/455492.
1366476
Calculate the least common multiple of 12735 and 4770.
1349910
Calculate the common denominator of 41/98 and -13/2580.
126420
Find the common denominator of -107/546 and -103/31200.
218400
What is the least common multiple of 8 and 3952?
3952
Calculate the common denominator of 101/308 and -11/61772.
4756444
What is the least common multiple of 9 and 13831?
124479
What is the lowest common multiple of 3018 and 11569?
69414
What is the common denominator of 75/10252 and -35/1864?
20504
Calculate the lowest common multiple of 8326 and 438.
1823394
Calculate the common denominator of -39/947608 and -119/45852.
2842824
Calculate the lowest common multiple of 36 and 192896.
1736064
Find the common denominator of -34/15 and 40/771919.
11578785
Calculate the lowest common multiple of 47400 and 12.
47400
Calculate the common denominator of -33/4030 and -59/520.
16120
Calculate the lowest common multiple of 38 and 19418.
19418
What is the least common multiple of 30 and 17416?
261240
What is the smallest common multiple of 324 and 702?
4212
Calculate the common denominator of -38/25 and -58/33465.
167325
Calculate the smallest common multiple of 5803 and 110257.
110257
What is the smallest common multiple of 342 and 100890?
100890
Calculate the lowest common multiple of 262662 and 262662.
262662
Calculate the common denominator of -28/191055 and 25/6504.
1528440
Calculate the common denominator of 5/7754 and 11/12.
46524
Calculate the lowest common multiple of 25296 and 240.
126480
Find the common denominator of 25/56304 and 67/1518.
619344
What is the least common multiple of 15896 and 21857?
174856
Find the common denominator of 25/92187 and 4/276561.
276561
Find the common denominator of -79/14898 and -163/234.
44694
What is the common denominator of 67/120 and -113/10976?
164640
What is the common denominator of -13/2342326 and -63/669236?
4684652
What is the smallest common multiple of 1232 and 1232?
1232
Find the common denominator of 53/11 and -49/33468.
368148
Find the common denominator of -97/12 and 13/486.
972
What is the common denominator of 1/94090 and -51/94090?
94090
Find the common denominator of -109/3570 and 101/315.
10710
What is the lowest common multiple of 201 and 20199?
1353333
Calculate the common denominator of 4/38073 and -23/6468.
1675212
Calculate the common denominator of 37/35230 and 11/176150.
176150
Find the common denominator of 73/24 and 89/3787956.
7575912
What is the lowest common multiple of 14688 and 16?
14688
Calculate the least common multiple of 7400 and 13320.
66600
What is the common denominator of 173/588 and -71/43074?
4221252
Calculate the smallest common multiple of 1210 and 9724.
534820
What is the common denominator of -39/74 and 77/8886?
328782
What is the smallest common multiple of 256 and 82176?
82176
What is the smallest common multiple of 38 and 2068?
39292
Calculate the smallest common multiple of 17 and 144.
2448
Calculate the lowest common multiple of 1002 and 2505.
5010
Calculate the common denominator of -3/8560 and 47/264.
282480
What is the common denominator of 123/9440 and 63/7552?
37760
What is the common denominator of -13/70 and -43/101700?
711900
What is the common denominator of 103/3504 and 79/400770?
3206160
What is the common denominator of 64/3 and 163/7266?
7266
What is the smallest common multiple of 504 and 41370?
496440
Calculate the common denominator of 71/580 and 61/56.
8120
What is the common denominator of -53/75894 and 19/5004?
455364
What is the smallest common multiple of 35816 and 16280?
179080
Find the common denominator of -17/3 and 73/1799354.
5398062
Find the common denominator of 61/453 and -23/244771.
734313
What is the lowest common multiple of 32496 and 24?
32496
Calculate the common denominator of -35/26 and -23/912288.
912288
What is the lowest common multiple of 780 and 156195?
624780
What is the common denominator of -7/45855 and 179/90?
91710
Calculate the common denominator of 12/160217 and -4/5.
801085
Calculate the least common multiple of 511 and 29200.
204400
Find the common denominator of -83/60 and -2/1295.
15540
What is the lowest common multiple of 183414 and 12?
366828
What is the smallest common multiple of 34210 and 1046826?
5234130
Calculate the least common multiple of 36 and 8060.
72540
What is the lowest common multiple of 150 and 4400?
13200
Calculate the least common multiple of 219 and 6.
438
What is the common denominator of -137/21320 and -31/49036?
490360
What is the common denominator of 59/99 and 117/22660?
203940
Calculate the least common multiple of 1026 and 378.
7182
Calculate the common denominator of -67/199911 and -43/533096.
1599288
Calculate the common denominator of -89/2260 and 3/100.
11300
Calculate the common denominator of -115/19194 and 127/12.
38388
Calculate the least common multiple of 30 and 573.
5730
Calculate the least common multiple of 1110 and 2553.
25530
Calculate the common denominator of 53/332896 and 73/18128.
3661856
What is the smallest common multiple of 1484 and 56?
2968
Find the common denominator of 157/4332 and 29/76.
4332
Calculate the smallest common multiple of 79872 and 78.
79872
What is the lowest common multiple of 5726 and 11452?
11452
What is the lowest common multiple of 2 and 218578?
218578
What is the least common multiple of 10570 and 210?
31710
What is the lowest common multiple of 426 and 132?
9372
What is the common denominator of -35/2 and -37/222118?
222118
Calculate the common denominator of 35/80806 and 99/29384.
323224
Calculate the smallest common multiple of 99915 and 8.
799320
Calculate the common denominator of 27/59 and 27/698147.
698147
Find the common denominator of -65/2 and -79/2691740.
2691740
Calculate the smallest common multiple of 441564 and 809534.
4857204
Calculate the least common multiple of 1128754 and 1128754.
1128754
Calculate the least common multiple of 35061 and 35061.
35061
Find the common denominator of -5/8 and -79/6070.
24280
What is the smallest common multiple of 8122 and 22?
89342
Find the common denominator of -49/3443 and 3/110.
34430
Calculate the least common multiple of 740 and 244.
45140
Find the common denominator of 23/347130 and 71/381843.
3818430
What is the smallest common multiple of 2 and 22067?
44134
Find the common denominator of -23/81875 and -29/7.
573125
Calculate the smallest common multiple of 144 and 480.
1440
Find the common denominator of -15/686 and 121/19516.
956284
What is the least common multiple of 21768 and 32652?
65304
What is the common denominator of -73/10 and 25/65494?
327470
Calculate the lowest common multiple of 32472 and 363.
357192
Find the common denominator of 3/10 and -4/239627.
2396270
Find the common denominator of -9/3140 and 93/2512.
12560
What is the least common multiple of 511520 and 920?
511520
Calculate the lowest common multiple of 18205 and 11.
18205
Calculate the lowest common multiple of 190900 and 30544.
763600
What is the lowest common multiple of 2533439 and 1?
2533439
What is the least common multiple of 304 and 300?
22800
What is the smallest common multiple of 4004 and 924?
12012
Calculate the common denominator of -45/6278 and -5/2774.
119282
Calculate the common denominator of 197/330 and 89/11460.
126060
What is the common denominator of 3/1499345 and 95/5938?
2998690
What is the least common multiple of 301285 and 70?
4217990
Find the common denominator of 43/4684 and 23/11710.
23420
What is the least common multiple of 85254 and 162?
2301858
What is the smallest common multiple of 4642 and 20889?
41778
Find the common denominator of -101/6426 and 131/4590.
32130
Calculate the lowest common multiple of 145039 and 688.
2320624
Find the common denominator of 43/849528 and -15/22.
9344808
Calculate the lowest common multiple of 1209 and 3653.
339729
What is the common denominator of
|
{
"pile_set_name": "DM Mathematics"
}
|
2)/v and m.
264
Let y = 37647686/69 + -545630. Let q = y - -25801/2208. What is the common denominator of q and 53/240?
480
Let o = 4 + 2. Let z(i) = -387*i**2 - 8*i - 7. Let m be z(-1). Let l = 392 + m. What is the lowest common multiple of o and l?
6
Let x = 5/277 + -19677/554. Let c = -1189 - -1117. What is the common denominator of x and (-11 + (-2408)/c)*3/8?
12
Suppose 20*c - 20 = 24*c. Let d = 348535/28 + -12450. What is the common denominator of 2/36*(-309)/c*3 and d?
140
Let f = -6743 - -7137. Calculate the smallest common multiple of 12 and f.
2364
Suppose 497*c - 498*c = -4*m + 81, -2*c + 102 = 4*m. Calculate the smallest common multiple of (108 + 2)/(-2*(-4)/8) and m.
110
Suppose 3*h = -2*h + 10. Let w be (6/(-8))/((-2)/8). Suppose -o = -w*k - 13, -o - o + 25 = -5*k. What is the lowest common multiple of h and o?
10
Find the common denominator of 211/12540 and 2/(-104) - (-208314)/177216.
100320
Let k(o) = -o**3 + 5*o**2 - 3*o + 1. Let t be k(4). What is the smallest common multiple of ((-2)/t)/(33/(-990)) and 57?
228
Calculate the common denominator of 1*(-721)/98 - 8/(-8) and 143/42.
42
Let k = 12817 + -11620. Calculate the least common multiple of k and 798.
2394
Suppose 4*t = 16, 4*m + 100 = 2*t - t. Let a be (-1 - m)/((-20)/(-6) - 3). Let v = 93 - a. What is the smallest common multiple of v and 21?
168
Let m = -30 + 102. Let w = -48277 + 48301. Calculate the least common multiple of m and w.
72
Let k(s) = 2*s**3 - 16*s**2 + 19*s - 4. Suppose -3 = -3*y + 3. What is the least common multiple of k(1) and 1/1 - (-2)/y?
2
Let s be 2/(-8) - (-84)/16. Suppose -49 = -5*r + s*f + 6, f = -1. What is the smallest common multiple of r and 28?
140
Suppose -3*u = k - 74, 5*u - 5*k - 97 = 13. Let i = -528 + 600. What is the lowest common multiple of i and u?
72
Find the common denominator of 5/3 and (81 + -11)*(-3)/(-1566).
261
Find the common denominator of 5/(-1) - (-19)/10*9 and -38/2037.
20370
Suppose -57 = -8*w + 23. Find the common denominator of (-455)/214 + (12 - w) and -23/14.
1498
Suppose -2*p = x + 112, -p - 14 - 207 = 2*x. Let h = 5 + x. Let o = -94 - h. What is the smallest common multiple of 4 and o?
44
Let s = -23687/20520 + 91/135. Find the common denominator of -48/1501 and s.
12008
Suppose 35 - 283 = -62*s. What is the least common multiple of s and 482?
964
Let r be (-30)/(-8)*(-1 - (-1 - -8)). Let j(n) = -n**3 + 8*n**2 + 3*n - 12. What is the smallest common multiple of ((-33)/22)/(((-3)/r)/(-1)) and j(8)?
60
Suppose -4*z + 17 = -15. Let h be (-438)/z + -3 + 3/4. Let n = h - -62. Calculate the least common multiple of n and 14.
70
Let r = -46090 + 7374483/160. Find the common denominator of -43/336 and r.
3360
Let x = 705 + -710. Suppose 3*g = 10 + 44. What is the smallest common multiple of (-2)/x - 84/(-15) and g?
18
Let a be (-1)/(-2) - 10676460318014/(-1578164814). Let t = a + 1/4614517. Let h = t + -6759. What is the common denominator of -97/70 and h?
630
Let y = 8994 - 8983. Calculate the smallest common multiple of y and 3004.
33044
Let a = 5/1878 + -81089/125826. Let u = a + 3233/2010. Let b = -19441 - -155509/8. What is the common denominator of b and u?
120
What is the common denominator of ((-9)/((-1125)/10))/(-6*28/(-1130)) and -143/120?
840
Let k(m) = -3*m**2 - 26*m - 7. Let o = 25 - 36. Let b be k(o). Let s = b - -90. What is the least common multiple of 5 and s?
30
Let b = -267/160160 - -2157432687/160160. Let l = b - 13471. Calculate the common denominator of -21/104 and l.
728
Let k = -48 - -54. What is the lowest common multiple of (17 - 8) + 3*(-4)/k and 7?
7
Let l = -5048 + 111085/22. Let o = -2189/28 + 388/5. Calculate the common denominator of l and o.
1540
Suppose -2*q - 8*o + 10*o = -64, -5*q = 4*o - 115. Calculate the common denominator of 31/8 and -17 + 11 - q/(-16).
16
Let x = -16740 - -151778/9. Let f = 4655/36 - x. Calculate the common denominator of 101/106 and f.
636
Suppose -2*g + f + 11 = 0, 0 = 4*g + 2*f - 5*f - 19. Let y = -1 + g. Suppose -210*j = 83*j - 478 - 987. What is the least common multiple of y and j?
30
Let z = 2/205 - -13633/10455. Find the common denominator of z and 24/(-36) - 40/(-9).
153
Suppose 0 = -63*j + 62*j - 46. Let s = j - -43. Let v = 47 + s. Calculate the smallest common multiple of 10 and v.
220
Let s(m) = 3*m - 3. Let o = 4 - 2. Let p be s(o). Let i = 5 + p. Calculate the lowest common multiple of i and 11.
88
Let j = 18273/8 + -2287. Let n = -65440602895/279522 + 12407884/53. Let a = n - -10/293. What is the common denominator of j and a?
72
Suppose -4*r = n - 122, -90*n - r = -92*n + 199. What is the lowest common multiple of n and 34?
102
Suppose -5*t = -z - 62, -t + 0*z = 4*z - 4. What is the common denominator of (10/84)/((-6)/(-99)) and (-7)/21*639/t?
28
Suppose -66 = -5*n + 9. Suppose -5*c = -n, -2*c - 42 = -4*r - 0*r. Suppose 10 + r = 11*w. What is the least common multiple of 10 and w?
10
Let m(b) = -b**3 - 17*b**2 + 83*b - 18. Let n be m(-21). What is the lowest common multiple of n/8 - ((-2778)/16 - -6) and 32?
672
Let h be (-306)/81 - (-6)/(-27). Let s(v) = -v**3 - 5*v**2 - 3*v + 4. Let b be s(h). Suppose 18 = 2*t - b. What is the least common multiple of t and 8?
72
Let y = -157847/8238 + -8/1373. Let d = -137 - 39. Find the common denominator of y and ((-840)/d)/(5 - -1).
132
Let t be 7 + -9 + 353/74. Let o = 11015/3108 - t. Let u = -4255/1428 + o. Calculate the common denominator of -34 and u.
34
Let q be (3/1788)/(10/(-12)). Let b = 29432/2235 + q. Calculate the common denominator of b and (-3)/88 - (63 - 17815/280).
66
Suppose 11*q - 3543 - 516 = 0. Suppose q = 3*l + 270. What is the smallest common multiple of 87 and l?
957
Let k = -45628505294/45 - -1013897539. Let u = k - -337751/5. Let i = u - -1693. Calculate the common denominator of -26/75 and i.
225
Let t(n) = 46*n + 1531. What is the least common multiple of 3501 and t(9)?
17505
Let y be (-15)/10*288/(-27). Suppose 4*t + y = 28, -c = 5*t - 16. Let r(z) = -2*z - 3. Calculate the smallest common multiple of r(-2) and c.
1
Suppose -p = 3, -5*p + 634 = 5*o - 3*p. Let d be o/10 + (5 - 0). Let q = 103/10 - d. Calculate the common denominator of 143/6 and q.
6
What is the lowest common multiple of 24 and -18 + 801*(-26)/(-117)?
480
Let w be 2/(-2) - ((-319)/321 + 0). Let i = 6085/2247 - w. Find the common denominator of 3/45 - 1/3 and i.
105
Let k(g) = 27 - 91 - 42 + 10*g + 17*g. Calculate the least common multiple of 8 and k(6).
56
Suppose i + 34 = -3*r + 127, 4*i - 4*r = 324. Suppose 12*t - i = -2*t. Calculate the least common multiple of 7 and t.
42
Suppose -3*q + 0 = 4*w + 1, -4*w = -4*q - 20. Suppose -2*a + 10 = -3*k, -3*k = -w*a + 7*a + 38. What is the common denominator of 120/(-70)*(-2)/k and -10/7?
7
Let k = 7400 - 7329. Let b(s) = -3*s**2 + 2*s + 1. Let x be b(-4). Let m = k + x. What is the smallest common multiple of m and 12?
48
Let k = -1261443/28 - -118324439/2604. Let p = k - 388. Let m = p - 660/31. Calculate the common denominator of m and 32/21.
21
Let u = -18424 + 1418623/77. What is the common denominator of 5 - ((-12)/(-22) - 32796/(-7392)) and u?
616
Let f = -11 - -65. What is the smallest common multiple of (14 + 1 - -5) + 0 and f?
540
What is the common denominator of 90/(-28) - 5/20 and (-1)/126*4*333/12?
84
Suppose 6*d + 2*i = 11*d, 2*d = 2*i. Suppose 15 = l - 4*q, -18 = -5*l + q - d*q. What is the lowest common multiple of (-2)/7 - (-102)/14 and l?
21
Let i be 537222/(-2415)*(3/(-8))/(-3). Let h = -505/23 - i. Find the common denominator of h and -53/12.
60
Let i = 138 - 134. Find the common denominator of -70/3 and (-16 - -6)/(-3 - (-190)/i).
267
Let v = -52 - -55. Let p(j) = 11*j - 97. What is the lowest common multiple of v and p(11)?
24
Calculate the lowest common multiple of 1*2/(-30) - 990290/(-3225) and 18.
5526
Suppose -4*z = 95 - 107. What is the common denominator of 220/36 - z - -4 and (-1 + -49)*20/48?
18
Let p be -4569 + -2 + 10/2. What is the least common multiple of 21 and (-2)/(-7) + (-1 - p/42)?
756
Suppose -2*k - 4 = -3*d + 8, 3*k = -d + 15. Let f be (-496)/(-24) - 4/d. Suppose -f*o = -17*o - 27. Calculate the least common multiple of 3 and o.
9
Suppose -6*n + z = -10*n + 24, -n - z + 9 = 0. What is the smallest common multiple of 0 + 4*-14*
|
{
"pile_set_name": "DM Mathematics"
}
|
*r**2 - 4*r**3 - 7*r**3 + r**2.
-7*r**3 - r**2
Collect the terms in -10*y - 8*y + 11*y + 11*y + 3*y.
7*y
Collect the terms in -533 + 533 + 37*d**2.
37*d**2
Collect the terms in -21*k + 6*k - k.
-16*k
Collect the terms in 3160*f**2 - 1579*f**2 - 1582*f**2.
-f**2
Collect the terms in 179*c**3 - 356*c**3 + 192*c**3.
15*c**3
Collect the terms in -27*t + 105*t - 26*t - 31*t - 29*t.
-8*t
Collect the terms in 72*v**2 + 73*v**2 - 158*v**2.
-13*v**2
Collect the terms in -5*u + 10*u - 26 + 4 + 11*u.
16*u - 22
Collect the terms in 567 + 0*l**2 - 567 - 2*l**2.
-2*l**2
Collect the terms in -31*b - b**2 + 37*b - 6*b.
-b**2
Collect the terms in 4 - 4 - 1904*s.
-1904*s
Collect the terms in 225*w - 40*w**3 - 225*w.
-40*w**3
Collect the terms in -4*m**3 + 39*m**2 + 4*m**3 - m**3.
-m**3 + 39*m**2
Collect the terms in -5*l**3 - 2*l**3 + 7*l**3 + 2*l**3 + 5*l**3.
7*l**3
Collect the terms in 146 - 146 - 24*x**2.
-24*x**2
Collect the terms in 262*p**3 + 189*p**3 - 127*p**3.
324*p**3
Collect the terms in 168*u**3 - 320*u**3 + 198*u**3.
46*u**3
Collect the terms in 20*g**3 - 43*g**3 + 19*g**3.
-4*g**3
Collect the terms in -7*t**2 - 4*t**2 - 3*t**2 - t**2.
-15*t**2
Collect the terms in -7*n**3 + 32*n**3 - 6*n**3 - 8*n**3 - 8*n**3.
3*n**3
Collect the terms in -39 - w - 77 + 41.
-w - 75
Collect the terms in -5*n**2 + 63*n + 0*n**2 - 63*n.
-5*n**2
Collect the terms in 171*h - 6*h**2 - 171*h.
-6*h**2
Collect the terms in -30*u**2 - 27*u**2 + 77*u**2 - 24*u**2.
-4*u**2
Collect the terms in -11*s**2 + 2*s**2 + 7*s**2 + 11*s**2.
9*s**2
Collect the terms in 0 - 3 - 53*g + 1.
-53*g - 2
Collect the terms in -9 - 2*k + 42 - 33.
-2*k
Collect the terms in k**3 + k**2 - k**2 + 5*k**3.
6*k**3
Collect the terms in 11*d - 17*d + 13*d.
7*d
Collect the terms in -196*o + 68*o**3 + 196*o + 28*o**3.
96*o**3
Collect the terms in 1 + 23*d**2 - 1.
23*d**2
Collect the terms in -7 - 14*g**2 + 18 + 15*g**2 + 79.
g**2 + 90
Collect the terms in -1104*d + 1104*d + 3*d**3.
3*d**3
Collect the terms in 73*l**3 - 39*l**2 + 39*l**2 + 81*l**3.
154*l**3
Collect the terms in -4 - 100*g**3 + 4.
-100*g**3
Collect the terms in -20*f**2 - 6*f**2 - 13*f**2.
-39*f**2
Collect the terms in 6*x + 2 - 2 + 5*x - 7*x.
4*x
Collect the terms in 45 + 2*q**2 + q**2 - 45.
3*q**2
Collect the terms in -91*u**3 + 167*u**3 - 86*u**3.
-10*u**3
Collect the terms in 0 + 2 - 11*a - 5*a - 13*a.
-29*a + 2
Collect the terms in 2*c + 25*c**3 + 19 - 17 - 2*c.
25*c**3 + 2
Collect the terms in -10 + 618*d + 10.
618*d
Collect the terms in 7*m + 11*m - 21*m.
-3*m
Collect the terms in 543*y**2 + 0*y**3 - 271*y**2 - 272*y**2 - y**3.
-y**3
Collect the terms in -49*x**3 + 16*x**3 + 8*x**3 + 15*x**3 + 12*x**3.
2*x**3
Collect the terms in 3369*v - 3369*v + 4*v**3.
4*v**3
Collect the terms in 6 + 6*t - 6.
6*t
Collect the terms in 13 - 29*a**3 - 12*a**3 - 11.
-41*a**3 + 2
Collect the terms in -6338 - 5*i + 6338.
-5*i
Collect the terms in 207 - 207 - 8*k.
-8*k
Collect the terms in -145*y**3 - 145*y**3 + 291*y**3.
y**3
Collect the terms in 25*r**3 + 112*r**3 + 24*r**3.
161*r**3
Collect the terms in 2*c + 6*c - 7*c.
c
Collect the terms in -31*h - 10 - 19 + 29.
-31*h
Collect the terms in -29 - 3*r**2 - 3*r**2 + 4.
-6*r**2 - 25
Collect the terms in -14176*t - 21*t**2 + 14176*t.
-21*t**2
Collect the terms in 19*s**2 + 0 - 20*s**2 + 0.
-s**2
Collect the terms in 10*t - 10*t + 42*t**3 - 41*t**3.
t**3
Collect the terms in 65*a**2 + 65*a**2 + 75*a**2 + 68*a**2 - 274*a**2.
-a**2
Collect the terms in 14*j + 12*j - 18*j.
8*j
Collect the terms in -8*o + 20*o - 4*o - 11*o.
-3*o
Collect the terms in 838574*a - 838574*a - 3*a**3.
-3*a**3
Collect the terms in 10*r**3 - 31*r**3 - 4*r**2 + 4*r**2.
-21*r**3
Collect the terms in -1 + 1 + 147*g**2.
147*g**2
Collect the terms in 21*b**3 - 224*b**3 - 46*b**3.
-249*b**3
Collect the terms in 8*m + 9*m - 8*m + 2*m.
11*m
Collect the terms in 78*v - v**2 - 78*v + 7*v**2.
6*v**2
Collect the terms in -y**3 + 12*y**3 + 4*y**3.
15*y**3
Collect the terms in -10 + 0*c**3 + 2*c**3 + 0*c**3.
2*c**3 - 10
Collect the terms in 2*n**2 - 3*n + 3*n + 5*n.
2*n**2 + 5*n
Collect the terms in 110*m**3 + 21*m**3 - 135*m**3.
-4*m**3
Collect the terms in 27*s**2 + 16*s**2 - 32*s**2.
11*s**2
Collect the terms in -289*k**3 + 568*k**3 - 284*k**3.
-5*k**3
Collect the terms in -6*f - 16*f + 9*f + 2.
-13*f + 2
Collect the terms in 0*l + 0*l + 2*l + 3*l.
5*l
Collect the terms in -489 - 11*z**2 + 489.
-11*z**2
Collect the terms in 2*y + 0*y - 2*y + 3*y.
3*y
Collect the terms in -29*j + 13 - 13 + 2*j.
-27*j
Collect the terms in -1293 + 1293 + 6*y**2.
6*y**2
Collect the terms in -12 + 12 + 26*b.
26*b
Collect the terms in 75*z**3 + 8*z**3 + 48*z**3 + 51*z**3.
182*z**3
Collect the terms in -2*k**2 + 0*k**3 + 2*k**3 - 39*k**3 + 5*k**2.
-37*k**3 + 3*k**2
Collect the terms in -36*t**2 + 25*t**2 - 31*t**2.
-42*t**2
Collect the terms in 42*n**3 - 31*n**3 - 16*n**3.
-5*n**3
Collect the terms in 7*o**2 - 5*o**3 - o**2 - 3*o**2.
-5*o**3 + 3*o**2
Collect the terms in -23*t**3 + 24*t**3 - 9*t**2 + 2*t**2 + 7*t**2.
t**3
Collect the terms in 32*c**2 - 10*c**2 - 10*c**2 - 10*c**2 - 5*c**2.
-3*c**2
Collect the terms in a - 18*a + a + 5*a.
-11*a
Collect the terms in 83*i - 37*i - 36*i.
10*i
Collect the terms in -4*b + 7770 - 4*b + 5*b - 7770.
-3*b
Collect the terms in -26*m**2 + 5*m**2 - 31*m**2.
-52*m**2
Collect the terms in -52*s**2 - 15*s**3 + 23*s**2 + 29*s**2.
-15*s**3
Collect the terms in -126*f - 119*f + 243*f.
-2*f
Collect the terms in 2*i**3 + 785*i**2 - 785*i**2.
2*i**3
Collect the terms in -11*o**2 - 14*o**2 + 29*o**2.
4*o**2
Collect the terms in -608*t**3 - 12 + 12 + 610*t**3.
2*t**3
Collect the terms in 12*c - 12*c + 20*c**2.
20*c**2
Collect the terms in 0*b**2 + 4*b**3 - 2*b**3 + 0*b**2.
2*b**3
Collect the terms in 7*m + 4*m - 9*m + m.
3*m
Collect the terms in -52 + 23 + u + 28.
u - 1
Collect the terms in -5*b**2 + 37*b**3 + 5*b**2 - 7*b**3.
30*b**3
Collect the terms in -5*b - 3*b + 3*b + 7*b.
2*b
Collect the terms in -1 - z - 6*z + 1 - 7*z.
-14*z
Collect the terms in 21*i**2 - 9*i**2 - 2*i**2 + 26*i**2.
36*i**2
Collect the terms in -3*p + 6*p + 0*p.
3*p
Collect the terms in 9*m + 2*m + 8*m + 4*m.
23*m
Collect the terms in -4*q**3 + 18 + 6416*q**2 - 6416*q**2 - 18.
-4*q**3
Collect the terms in 197*u**3 - 2*u**2 + 2*u**2 - 196*u**3.
u**3
Collect the terms in 26*w**3 - 10*w**3 - 9*w**3 - 3*w**3.
4*w**3
Collect the terms in 10146*k - 10146*k - 5*k**2.
-5*k**2
Collect the terms in -70*p + 9*p**3 + 70*p - 3*p**3.
6*p**3
Collect the terms in -3*i + 9*i**2 + 3*i - i**2.
8*i**2
Collect the terms in -216*d**2 + 4*d**3 + 216*d**2.
4*d**3
Collect the terms in 16*r + 23*r - 43*r.
-4*r
Collect the terms in -37*z**2 - 2 + 2.
-37*z**2
Collect the terms in -163*h + 20 + 150*h - 20.
-13*h
Collect the terms in 77 + 9*p - 77.
9*p
Collect the terms in a**2 - 56520 + 56520.
a**2
Collect the terms in -8*s + 7*s + s - s**3.
-s**3
Collect the terms in 827*i**3 - 2531*i**3 + 841*i**3 + 845*i**3.
-18*i**3
Collect the terms in -124*w**2 + 10*w**2 + 14*w**2 + 86*w**2 + 15*w**2.
w**2
Collect the terms in 10089*a - 10089*a - a**2.
-a**2
Collect the terms in -12*a**3 - 8*a**3 - 8*a**3.
-28*a**3
Collect the terms in -480*v + 156*v + 165*v + 160*v.
v
Collect the terms in -15*x - 156 + 156.
-15*x
Collect the terms in 21*y**3 - 52*y**3 - 128*y**3.
-159*y**3
Collect the terms in 1 + 541*m - 1 - 169*m.
372*m
Collect the terms in -3*n**2 - 214*n**3 - 6*n**2 + 9*n**2.
-214*n**3
Collect the terms in 15*f + 21*f - 55*f + 18*f.
-f
Collect the terms in -40 - 46*x + 40.
-46*x
Collect the terms in -8998*h - 3*h**2 + 8998*h.
-3*h**2
Collect the terms in -1 + 36 + j + 10.
j + 45
Collect the terms in 329*g + 334*g - 1316*g + 314*g + 337*g.
-2*g
Collect the terms in -5*q - 16 + 16.
-5*q
Collect the terms in 1750*g + 0 - 1749*g + 0.
g
Collect the terms in 3*s**2 - 3*s**2 + 40*s**3.
40*s**3
Collect the terms in -6*g - 6*g - 2*g + 13*g.
-g
Collect the terms in 73*x**3 - 132*x**3 + 62*x**3.
3*x**3
Collect the terms in -55*b**2 - 62*b**2 + 114*b**2.
-3*b**2
Collect the terms in -3*r**3 - 7*r**3 + 0*r**3.
-10*r**3
Collect the terms in -142*z**2 - 147*z**2 + 287*z**2.
-2*z**2
Collect the terms in -32*q**2 - 19*q**2 - 37*q**2 + 26*q**2.
-62*q**2
Collect the terms in -54*t + 54*t - 24*t**2.
-24*t**2
Collect the t
|
{
"pile_set_name": "DM Mathematics"
}
|
Let s(v) = v - 1. Let w(y) = -p(y) - 6*s(y). Differentiate w(j) wrt j.
-1
Let g(r) = -r**3 + 3*r**2 + 2*r + 4. Let w be g(4). Let f = 8 + w. Find the second derivative of -f*p + 3*p - 2*p**4 + p**4 wrt p.
-12*p**2
What is the second derivative of 20*o**2 + 58*o - 70*o - 7*o**2 wrt o?
26
Let o(j) be the first derivative of -j**8/280 + j**6/120 - 2*j**3 + 3. Let h(w) be the third derivative of o(w). Find the third derivative of h(a) wrt a.
-144*a
Let m be 1/(-4) + (-374)/(-88). Let n(u) be the second derivative of -2/3*u**3 + 2*u + 0*u**2 + 0 + 1/12*u**m. Find the second derivative of n(b) wrt b.
2
Find the second derivative of -5*j + 7*j**2 - 18*j + 7*j**2 + 2*j**2 wrt j.
32
Let p(s) be the second derivative of 1/12*s**4 + 0 + 0*s**3 + 0*s**5 + 0*s**6 + 5*s + 0*s**2 + 1/21*s**7. Find the third derivative of p(f) wrt f.
120*f**2
Let r(w) = -w**4. Suppose -21 = -5*n + 4. Let k(x) = 3*x**5 + 5*x**4 - 2*x. Let m(d) = n*r(d) + k(d). What is the second derivative of m(l) wrt l?
60*l**3
Let c(l) = -13*l**3 - 14*l**2 + 6*l. Let w(g) = -12*g**3 - 13*g**2 + 5*g. Let v(r) = -5*c(r) + 6*w(r). Find the third derivative of v(u) wrt u.
-42
Let c(p) = 3*p**2 + 1. Let q be c(1). Suppose -v - 2*v - 19 = -5*d, -3*v = 5*d - 1. What is the third derivative of i**2 + d*i**q + i**2 - 5*i**2 wrt i?
48*i
Let n be 1/(-1 - (-4)/3). What is the third derivative of -4*b**2 + 3*b**2 - 5*b**3 + 3*b**n + 4*b**3 wrt b?
12
Suppose 5*z - 436 = z. Find the second derivative of 2*y**3 + 2*y + z*y**2 - 109*y**2 wrt y.
12*y
Suppose 5*a = -x + 3*x + 19, -a - 2*x - 1 = 0. What is the second derivative of -v**3 - 22*v + 19*v - 2*v**a wrt v?
-18*v
Let d(g) be the third derivative of -g**6/40 - g**4/6 - 4*g**3 - 4*g**2 + 2*g. Differentiate d(p) with respect to p.
-9*p**2 - 4
Let l = -35 + 38. Suppose -5*u + 15 = -2*x - 7, -4*u = x - 15. What is the first derivative of -6*n**4 + 2*n**u - l + 2*n**4 wrt n?
-8*n**3
Let u = -43 + 45. Let s(n) = n + 7. Let p be s(-5). What is the third derivative of d**4 - u*d**2 + 3*d**p + 0*d**2 wrt d?
24*d
Let w(o) = o. Let q(m) = 8*m**2 - 2*m + 6. Let s = 29 + -27. Let c(l) = s*w(l) + q(l). Differentiate c(i) with respect to i.
16*i
Let o = 3 - 0. Let h(l) = -l + 1. Let x be h(-4). What is the derivative of 0 + x - o - v wrt v?
-1
Find the first derivative of 21 + 42*i + 33*i - 30*i wrt i.
45
Let f be ((-495)/(-78) - 6) + 4/26. Let h(v) be the first derivative of -1/2*v**4 - 3 + 0*v**3 + 0*v - f*v**2. Find the second derivative of h(k) wrt k.
-12*k
Suppose 2*m = m + 6. Find the third derivative of 3*j**2 - 2*j**m + 0*j**6 - j**6 wrt j.
-360*j**3
What is the first derivative of 9*j + 58 - 13*j**2 + 12*j**2 - 3*j wrt j?
-2*j + 6
Let g(f) be the first derivative of -4*f + 0*f**2 - 1/5*f**5 + 0*f**4 + 0*f**3 + 4. What is the derivative of g(y) wrt y?
-4*y**3
Differentiate -5*q - 1 - 11*q**4 + 2*q + 3*q wrt q.
-44*q**3
Let d(y) = -y**2 + 11*y + 6. Let k be d(11). Suppose 0 = h - p - 3, -h = h + 4*p - k. Differentiate u**h - 1 + 3 - 3 with respect to u.
3*u**2
Let o be (8/(-6) + (9 - 8))*0. Let r(v) be the third derivative of 0*v**3 + o*v + 1/20*v**5 - 4*v**2 + 0 + 1/12*v**4. Find the second derivative of r(p) wrt p.
6
Suppose -3*p - 5 = j + 1, -5*j = -3*p - 42. What is the third derivative of q**6 + 2*q + q**j + 2*q**2 - 2*q wrt q?
240*q**3
Let j = 8 - 6. Suppose -5 = -5*x + 5*c, -j*x + 7*x - 9 = 3*c. What is the derivative of 3 - x + 0*m**3 - 2 + 2*m**3 wrt m?
6*m**2
Let y(v) be the second derivative of -v**7/504 + v**6/240 - v**4/3 + 5*v. Let a(q) be the third derivative of y(q). What is the second derivative of a(s) wrt s?
-10
Let p(x) = 7*x**2 + 3. Let b(a) = 36*a**2 + 15. Let r be ((-2)/6)/(4/(-60)). Let d be 2/r - (-103)/5. Let m(g) = d*p(g) - 4*b(g). Differentiate m(y) wrt y.
6*y
Suppose 0 = -3*x + 5*i + 5, 2*x + 0*i + i = -14. Let m be (-1)/((-2 - x)/(-15)). Find the first derivative of 0 + m*s - 2 - 4*s wrt s.
1
Let o(m) be the third derivative of 7*m**8/48 + 31*m**4/24 - 14*m**2. Find the second derivative of o(n) wrt n.
980*n**3
Let y(l) be the first derivative of l**2/2 + l + 1. Let f(g) = -g - 4. Let a(c) = f(c) + 3*y(c). Differentiate a(i) wrt i.
2
Let x be 2/7 - (-10)/14. Suppose h - 7 = 2*o, h + 0*o + 2*o = -x. Find the second derivative of 0*l**3 - 2*l + 2*l + 2*l - l**h wrt l.
-6*l
Let z(k) = 15*k**3 + 20. Let d(t) = -76*t**3 - 100. Let q(o) = -3*d(o) - 16*z(o). What is the derivative of q(r) wrt r?
-36*r**2
Let x(g) = 10. Let t(z) = z - 10. Let i(n) = 7*t(n) + 6*x(n). Differentiate i(w) wrt w.
7
Let f = 6 - 4. Let g = f + 0. Find the first derivative of 0*j**g - 2*j**2 + 0 - 1 wrt j.
-4*j
Let k(t) = -7*t**2 - 13*t + 2. Let c(u) = 3*u**2 + 6*u - 1. Let f be (-16)/3 - 4/6. Let n(d) = f*k(d) - 13*c(d). Differentiate n(m) wrt m.
6*m
Let h(z) be the first derivative of 0*z**4 + 0*z**3 - 3/5*z**5 + 0*z**2 - 7 + 6*z. Find the first derivative of h(g) wrt g.
-12*g**3
Let o = -11 + 22. Differentiate 8*z**2 - 11 - 9 + o with respect to z.
16*z
Suppose 0 = 2*z, 2*s + 5*z + 1236 = 6*s. Differentiate 5 - 303*g**2 + 2*g + s*g**2 - 2*g with respect to g.
12*g
Let a = -10 - -12. Let j be (-182)/(-49) + a/7. What is the second derivative of 8*d**4 - 2*d**j - 2*d**4 + d wrt d?
48*d**2
Let g(j) be the second derivative of -j**7/7 - 7*j**3/6 - j. Find the second derivative of g(x) wrt x.
-120*x**3
Let y(p) be the first derivative of -19*p**4/2 - p**3/3 + 32*p - 17. What is the third derivative of y(v) wrt v?
-228
Let m(i) = 6*i - 4. Let y be m(5). What is the first derivative of 0*s**3 + y - 17 + 4*s**3 wrt s?
12*s**2
Let r(i) be the third derivative of i**6/360 - i**5/60 - i**3/6 - 4*i**2. Let m(b) be the first derivative of r(b). What is the second derivative of m(v) wrt v?
2
Let w(o) = o**3 - o. Let k(s) = 4*s**4 - 6*s**3 - 14*s**2 + 6*s. Let h(d) = k(d) + 6*w(d). What is the third derivative of h(l) wrt l?
96*l
Let d(j) be the third derivative of -j**6/60 - 4*j**3/3 - j**2. Find the first derivative of d(l) wrt l.
-6*l**2
Let o(x) be the third derivative of -x**9/126 - x**5/12 + 4*x**2. What is the third derivative of o(q) wrt q?
-480*q**3
Let m(k) = k**2 - 2*k - 1. Let a be m(4). Let q = a - 4. Find the first derivative of 3*w + 2*w + 2 - q*w wrt w.
2
Let t(n) be the first derivative of n**7/840 + n**6/180 - 4*n**3/3 - 4. Let w(h) be the third derivative of t(h). What is the third derivative of w(b) wrt b?
6
Let l(d) be the first derivative of 2*d**5/5 + d - 1. What is the first derivative of l(t) wrt t?
8*t**3
Let z(p) = p**4 - p**2 + p - 1. Let q(k) = -5*k**4 - 6*k**2 + 6*k - 9. Let v(y) = q(y) - 6*z(y). What is the first derivative of v(f) wrt f?
-44*f**3
Let y(w) be the third derivative of w**2 + 0 + 0*w**3 + 0*w**7 - 3/112*w**8 + 5/24*w**4 + 0*w**5 + 0*w + 0*w**6. What is the second derivative of y(z) wrt z?
-180*z**3
Find the third derivative of -7*x**6 + 0*x**6 - 27*x**2 - 16*x**6 wrt x.
-2760*x**3
Let j(h) be the second derivative of -h**6/30 - 4*h**2 - 4*h. What is the first derivative of j(x) wrt x?
-4*x**3
Find the second derivative of -4*y - 3*y**5 - 37 + 0*y**5 + 37 wrt y.
-60*y**3
Let y(p) be the first derivative of p - 1/5*p**5 + 0*p**4 + 0*p**3 - 3 + 0*p**2. Differentiate y(k) with respect to k.
-4*k**3
Let s(r) = 13*r - 10. Let m(u) = u + u - 8*u + 15 - 13*u. Let t(x) = 5*m(x) + 7*s(x). Differentiate t(d) wrt d.
-4
Find the second derivative of -2*a + a + 6*a**2 + 7*a wrt a.
12
Let y(b) be the second derivative of 0*b**2 - 1/12*b**4 + 0*b**3 + 0*b**6 + 8*b + 0*b**5 + 0 + 2/21*b**7. Find the third derivative of y(p) wrt p.
240*p**2
Let p = -4 + 6. Find the third derivative of 11*a**2 + 3*a**5 + 0*a**5 - 10*a**p wrt a.
180*a**2
Let m(b) = b**2 - b. Let v be m(-1). What is the second derivative of -a**2 + 3*a**3 - 3*a + 0*a**v + a**2 wrt a?
18*a
Let w(y) be the second derivative of 23*y**4/12 - 5*y**2 - 28*y. Find the first derivative of w(j) wrt j.
46*j
Let o(q) be the first derivative of 0*q**2 + 1/3*q**6 - 2/3*q**3 + 3 + 0*q**5 + 0*q**4 + 0*q. Find the third derivative of o(z) wrt z.
120*z**2
Let n(h) = -h**2 - 4*h + 7. Suppose 2*x + 15 = -a, -10 = 2*a - 0. Let l be n(x). What is the third derivative of -w**4 - w**4 + 0*w**2 + w**l + w**4 wrt w?
-24*w
Let p(h) = 25*h**2 + 8*h - 11. Let w(i) = -17*i**2 - 5*i + 7. Let y(r) = -5*p(r) -
|
{
"pile_set_name": "DM Mathematics"
}
|
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