text stringlengths 270 8.19k | meta dict |
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- 7. Let y(k) = i*c(k) - 5*j(k). What is y(v)?
-1
Let h = 5287 - 5292. Let v(q) = 3*q**3 + 16*q**2 + 4*q + 3. Give v(h).
8
Let r be 86/(((-64)/96)/(1/(-3))). Suppose 2*h + i + 0*i + 10 = 0, -5*h + 2*i = r. Let s(n) = n**2 + 4*n - 10. Determine s(h).
11
Let o be (36/27)/((-8)/(-6)) - -1. Suppose -2*m + 26 = 2*m + 5*b, 5*m = o*b + 16. Let w(d) be the second derivative of -d**3/6 + 3*d**2/2 + 6*d. Give w(m).
-1
Let w = 111 - 106. Let z(y) = 7 - y - w*y**2 - 11 + 4*y**2. Give z(-3).
-10
Let y = 23 + -25. Let b(t) = -22*t**3 + 14*t - 19. Let i(k) = -8*k**3 + 5*k - 7. Let w(x) = 3*b(x) - 8*i(x). Give w(y).
11
Let k be (-2)/6 + 4/3. Let q(n) = -292*n**3 - 2 + 3 + 96*n**3 + 25*n**2 + 114*n**3 + 104*n**3 - 27*n**2. Calculate q(k).
21
Let a(y) = y**3 - 3*y**2 - 6*y + 6. Let r(n) = 7*n + 4. Let h be r(-1). Let u be (-2)/(h*(-2)/(-6)). Suppose u*g + 3*g + 5 = 5*k, -10 = -2*k. Give a(g).
-2
Let d(s) be the third derivative of s**6/120 + s**5/10 - s**4/3 - 3*s**3 - 10*s**2 + 15*s. Give d(-6).
30
Suppose -8 = -4*a + 4*m, -4*a + 3 = 4*m - 3*m. Let p be -5 - (0/a)/1. Let y(l) = 0*l**2 + 56*l - 31*l - 6*l**2 - 32*l - l**3 + 2760 - 2764. What is y(p)?
6
Let u(n) be the first derivative of 8*n**3/3 - 24*n**2 - 2*n - 3610. Calculate u(6).
-2
Let q(l) = 25*l**3 + 13*l**2 + 15*l + 10. Let o(z) = 21*z**3 + 12*z**2 + 13*z + 9. Let n(f) = 6*o(f) - 5*q(f). Calculate n(-4).
40
Let m(n) = n**2 + 3*n + 2 - 1 + 1 + 1. Suppose 0 = 5*t + 50, -2*b + 4*b - 10 = 2*t. Calculate m(b).
13
Let b(j) = -22*j + 10. Let y be b(1). Let s = 9 + y. Let o(v) = v**2 - 5*v - 4. Give o(s).
20
Let q be 804/(-36) + 14 + 1/3. Let f(v) = 3*v**2 - 2. Let t be f(2). Let c(w) = -w + t + 2*w - 1. Give c(q).
1
Let j(u) be the first derivative of -u**3/6 - 9*u**2/2 + 13*u + 20. Let q(l) be the first derivative of j(l). Let a = 553 + -561. Calculate q(a).
-1
Let v(a) = 3*a - 115*a**3 + 132 + 6290*a**2 + 114*a**3 - 6323*a**2 + a. What is v(-33)?
0
Let w(t) = -t - 2. Let r be w(-5). Let s(m) = -4*m + m**r - 5*m + 2 + 2 - 7*m**2. Suppose 0 = -41*u - 71*u - 74 + 970. What is s(u)?
-4
Let s(u) = u**3 - 5*u**2 + 3*u + 1. Let l(d) = -2*d**2 - 29*d + 19. Let y be l(-15). Suppose 0 = -15*o - y*o + 57. Give s(o).
-8
Let a(h) = -10*h**2 + 3. Suppose -3*x + 8 = 5*b - 3, -7 = -2*x - 3*b. Calculate a(x).
-37
Let m(s) = s**3 + 7*s**2 + 5*s + 5. Let c be (0 - 0) + 0/(-2 + -5). Suppose -3*t + 15 = -c*t. Suppose -t*i = 4*i + 54. What is m(i)?
11
Suppose 4*n - 91 - 14 = c, -5*n = -7*c - 114. Suppose -n*y + 71*y = 0. Let t(i) = i - 8. Calculate t(y).
-8
Let m(y) = 5776721*y**2 - 5 + y**3 + 6*y - 5776715*y**2 + 13. Let x(w) = -w**2 + 5*w - 5. Let c be x(5). Give m(c).
3
Suppose -76*j + 86*j - 220 = 0. Let o(v) = -j - 7*v + 23 + 8*v - 3*v**2. Calculate o(-2).
-13
Let f(y) be the first derivative of 25*y**2/2 - 32*y - 4728. Calculate f(2).
18
Let d(z) = 2*z**3 - 79*z**2 + 5*z + 1. Let h(q) = -20*q**2 + q. Let f(n) = d(n) - 4*h(n). Suppose -3 = c - 2. Determine f(c).
-1
Let p(t) = -t**2 + 7*t - 5. Suppose 0*w = -3*w - 0*w. Suppose w = a + a - 16. Suppose -a*g + 13 + 43 = 0. What is p(g)?
-5
Let f(i) = 20*i + 8. Let v(d) = -12*d - 9. Let w(l) = 2*f(l) + 3*v(l). Give w(3).
1
Let b(h) = -11*h**3 - 26*h - 2. Let i(y) = -y**3 + 6*y + 1. Let x(f) = -b(f) - 4*i(f). What is x(2)?
122
Let d(p) = -p**3 + p**2 + 9*p + 7. Let b be 5*(39/(-52))/(45/24). Determine d(b).
1
Suppose -9 = -4*h + y - 36, 4*y = -3*h - 25. Let t(z) = -z**2 + z + 5. Let m be t(0). Let l(s) = 4*s + 6*s - 5*s + s - m + s**2. What is l(h)?
2
Let q(w) = w**3 + 6*w**2 - 28*w - 66. Let s be q(-2). Let b(a) = 20*a - 14. What is b(s)?
106
Suppose 276 = -141*s + 187*s. Let f(d) = -156*d + 932. Give f(s).
-4
Let y(p) = 2*p**2 + 12*p - 14. Let h be (-9)/51 + (-11880)/2040. Give y(h).
-14
Suppose 4*s = -3*b + 5, 0 = -0*s - 4*s - 4*b. Let w(k) = -4 + 5*k - 2*k + s. Let r(f) = 5*f + 1. Let z(m) = 4*r(m) - 7*w(m). Give z(-3).
0
Suppose 17 = 2*r + l, 0 = -5*r + 2*l - 7*l + 55. Let t be (-6 + 5 - 3) + r. Let s(n) = -3*n**2 + 3*n - 1. Calculate s(t).
-7
Let i(z) be the third derivative of 0*z + 0*z**4 + 39*z**2 - z**3 + 0*z**5 + 0 + 1/120*z**6. What is i(0)?
-6
Let p(z) = -z**3 - 6*z**2 + z + 1. Let t be (-5 - 33/(-21))*-14. Let n = t + -54. Determine p(n).
-5
Let l(c) be the third derivative of 3*c**4/4 + 91*c**3/3 - 42*c**2. Determine l(-12).
-34
Let x(a) = -a**2 - 9*a + 4. Suppose -77*u = -71*u. Let l(y) = y**3 - 2*y**2 - 6*y - 10. Let m be l(u). What is x(m)?
-6
Let o(t) = -4*t**2 - 111*t - 270. Let g be o(-25). Let u(i) = -3*i**2 + 20*i - 41. Determine u(g).
-16
Let f(o) be the first derivative of -o**2/2 + 4*o + 1. Let d(p) = -p**2 + 9*p + 37. Let s be d(6). Let w = s + -52. Give f(w).
1
Suppose -33*s - 123 = 56 + 151. Let m(y) = -y**3 - 9*y**2 + 7*y + 23. Give m(s).
53
Let u be ((-40)/(-24))/(2/6). Suppose -u*h - 2*w = 86, -3*w - 2*w = -10. Let s = h - -12. Let f(b) = b**2 + 8*b + 8. Give f(s).
-4
Let o(w) = -5 + 5 + 4 - w + 4. Let s(q) = -2*q**2 - 10*q + 165. Let h be s(11). Let v = h - -194. What is o(v)?
1
Let o(s) be the second derivative of s**5/20 - s**4/12 + s**3/6 - 7*s**2/2 + 2487*s. What is o(0)?
-7
Let c(y) = -9 + 19*y - 17*y**2 + y**3 + 2 + y + 75*y**2 - 37*y**2. Calculate c(-20).
-7
Let t(q) = q - 4. Let o(f) = -12*f + 126. Let a(h) = o(h) + 30*t(h). What is a(-4)?
-66
Let l(g) = -23*g**2 + 5 - 18*g**2 + 76*g**2 + 3*g**3 - 27*g**2. Determine l(-4).
-59
Let w(o) = o - 3. Let n(m) = 4*m**2 + 34*m - 8. Let b be n(-8). Let s be 21*(0 + 1 - b/(-6)). Let f = 59 + s. Determine w(f).
-7
Let h(x) = -x**3 - 3*x**2 + 12*x + 6. Suppose -4*t = 2*p - 36, 0*p - 18 = -2*t - 3*p. Suppose 0 = 2*l - 3*k + 1, -t = 3*l - k - k. Determine h(l).
-4
Let w(q) be the second derivative of q**5/10 + 5*q**4/6 + 7*q**2/2 - 6055*q. Let y(n) = -4*n + 3. Let x be y(2). Determine w(x).
7
Let n(q) = -q - 1. Suppose -2963 = 7*p + 1881. Let v = 688 + p. Determine n(v).
3
Let j = -16 + 19. Let k(r) = -8 + 0*r**2 + 4 + r**2 - j*r - 8. What is k(6)?
6
Let o(x) = -x**3 - 3*x**2 + 10*x - 12. Let r be o(-8). Let i = r - 230. Let j(a) = 9*a - 1. What is j(i)?
-19
Let h(p) = p**3 - 5*p**2 - 2*p - 11. Let s(b) = -2*b**2 + b + 1. Let x(l) = -h(l) + 5*s(l). Determine x(-5).
-19
Let h(q) be the second derivative of q**5/20 + 2*q**4/3 + 5*q**3/3 - 6*q. Let s = 4347 + 303. Let i be (-4)/(-78)*3 + s/(-650). What is h(i)?
-21
Let n be (-3)/(3/(-2)) + 3. Let c(k) = 2*k - 10. Let x(g) be the third derivative of g**4/24 + g**3/6 - 150*g**2. Let p(t) = -c(t) - 3*x(t). Give p(n).
-18
Suppose -5*k = -o - 7*k + 65, 3*o = 5*k + 162. Let w = o - 57. Let c(g) = 6*g**2 + 0*g + 2 - 47*g**3 + 46*g**3 + w - g. Determine c(6).
-2
Let r(v) = v**3 - 10*v**2 - 11*v - 10. Suppose -305*h + 1116 + 1934 = 0. What is r(h)?
-120
Let k(o) = -30*o - 5. Let x be k(0). Let w(t) = t**3 - 5*t**2 + t + 2. Let a(y) = y**3 - 1. Let h(v) = -2*a(v) + w(v). Determine h(x).
-1
Let a(x) = -2*x**2 - 20*x + 26. Let c(z) = z**2 + 11*z - 12. Let h(l) = -6*a(l) - 11*c(l). What is h(7)?
18
Let o(c) = 0*c + 2*c + 1460 - 3*c - 1453. Give o(3).
4
Let c be (-5)/(90/12)*1167. Let m = -781 - c. Let x(k) = -k**3 + k**2 + k + 1. Give x(m).
34
Let u(s) = -3*s**3 - s**2 + 1. Let d be (27/(-12))/((-12)/16). Let y be (-53 - -50)*1/d. Calculate u(y).
3
Let y(p) = -3*p**2 + 8*p + 12. Let r be -15 + 7/(-21)*-66. What is y(r)?
-79
Let m = 11 + -6. Suppose -a - m*a = -24. Let i(c) = -11*c + 5*c + a + 7*c. Calculate i(6).
10
Suppose -93 = -70*c + 39*c. Let b(d) = 3 + 0*d**2 - d**3 - 4*d**2 + 0*d**2 + d**2 + 6*d**2 + 2*d. Calculate b(c).
9
Let d = 79 - 52. Let l(z) = z + z + 22 - 48 + d. Suppose 5*m + 2*k + 12 = 34, 3*m + 3*k = 15. Calculate l(m).
9
Let g(c) = 9*c**3 - 8*c**2 - 4*c + 14. Let s(i) = 22*i**3 - 14*i**2 - 8*i + 28. Let f(y) = -5*g(y) + 2*s(y). What is f(12)?
34
Let x(o) = o**3 - o**2 - 3*o - 1. Let a be x(-1). Suppose -9*b + a*b = 639. Let i = b + 75. Let m(v) = v + 1. What is m(i)?
5
Let h(d) be the first derivative of d**2 + d + 4/3*d**3 + 377. Suppose 0 = -3*g - 5*i - 23, 2*g + 4*i + 21 = -3*g. What is h(g)?
3
Let d be (-26)/325 + 2706/75. Let c be d/27*(-2 - -5). Let w(g) = -4*g**3 - 6 + 3*g**2 + 7*g + 3*g**3 - g. Calculate w(c).
2
Suppose -264 + 124 = 20*r. Let h(c) = -c**2 - 5*c + 12. Give h(r).
-2
Let b be (6/(-5))/(2/(-5)) - 7. Let s = b - -6. Let p(x) | {
"pile_set_name": "DM Mathematics"
} |
is the tens digit of q + -2 + i/(-3)?
1
Let t = -2 - 0. What is the units digit of (5 + (t - 2))*7?
7
Let u(o) be the first derivative of 2*o**3/3 + 2*o**2 + 5*o + 14. What is the tens digit of u(4)?
5
Let k = -34 - -39. Suppose -k*h + 0*h + 800 = 4*s, 4*h = -5*s + 649. What is the tens digit of h?
5
Let s = 1608 - 1064. What is the tens digit of s?
4
Let t(n) = -n**3 - 9*n**2 - 4*n + 13. Let y = 11 + -20. Let h be t(y). Suppose -5*x + 86 = -h. What is the tens digit of x?
2
Suppose -r + 5*q = 5, 3*q = -3*r - 52 - 35. Let o = r + 158. What is the hundreds digit of o?
1
Let x = 17 - 13. Suppose 3*v + x*u = 66 + 23, -3*u = -6. Suppose 4*m - 7 - v = -2*c, 13 = -c + 4*m. What is the units digit of c?
7
Let l(d) = 29*d - 3. Let j be l(4). Suppose -2*v = 5*b - 3*v + j, -3 = -v. Let s = b - -42. What is the tens digit of s?
2
Suppose 4*k + 5*n - 1297 = 6*n, -2*k - 4*n + 644 = 0. Suppose -4*u + k - 4 = 0. What is the tens digit of u?
8
Suppose -11*d + 60 = -8*d. Suppose -d = -x + 18. What is the tens digit of x?
3
Suppose x - 36 = 5*x. Let d = 20 + x. What is the tens digit of d?
1
Suppose 27*g = -15*g + 294. Let k = -8 + 12. Suppose -k*p + g*p = 21. What is the units digit of p?
7
Let z(d) = -d + 16. Let t be z(9). Suppose t*k - 5*k - 152 = 0. What is the units digit of k?
6
Let g = 3124 - 2118. What is the thousands digit of g?
1
Let l(x) = -3*x + 1. Let z be l(-1). Let t(c) = 3*c - 10. Let p be t(z). Suppose 0*k = -p*k + 72. What is the units digit of k?
6
Let m(g) = 6*g**2 + 34*g + 12. What is the tens digit of m(-6)?
2
Let f be 4/(-14) + 264/42 + -4. Suppose 3*r + r + 3*z - 266 = 0, f*z - 200 = -3*r. What is the units digit of r?
8
Suppose 21*m = 20*m - 293. Let w = 153 + m. What is the tens digit of (-6260)/w + (-2)/(-7)?
4
Let o be (-18)/30 - 594/10. Let l be (-4)/(-10) - 216/o. Suppose -155 = -l*u - u. What is the tens digit of u?
3
What is the thousands digit of (129*(-14)/(-84))/(2/108)?
1
Let v be -12 - (-1 - -2)*-1. Let i = -13 - v. Let c(y) = -2*y**3 + y**2 - y. What is the units digit of c(i)?
2
Let z be (14 + -4 + 3)/1. Let g = 16 + z. What is the units digit of g?
9
Suppose -5*c + 2000 = -5*z, c - 3*z = -c + 801. What is the units digit of c?
9
What is the units digit of -1 + (-4 - -8 - -5371)*1?
4
Suppose 372*a - 370*a - 1522 = 0. What is the hundreds digit of a?
7
Let x be (-20)/(-5) + 0 - 129. Let b = -88 - x. Suppose 36*n - b*n + 39 = 0. What is the tens digit of n?
3
Let y = -119 + 69. Let q = 74 + y. What is the units digit of q?
4
Suppose 2*b + 2 = 136. What is the units digit of b?
7
Let w = -797 - -1806. What is the thousands digit of w?
1
Let p(z) = -25. Let i(b) = -b + 26. Let c(w) = 5*i(w) + 6*p(w). What is the tens digit of c(-8)?
2
Let k(j) = -44*j + 36. What is the hundreds digit of k(-5)?
2
Suppose -4*x - 2*z = -507 + 35, -464 = -4*x + 2*z. Let a = -47 + x. Let q = -24 + a. What is the units digit of q?
6
Suppose 32 = 3*q + n - 0*n, 31 = 3*q + 2*n. Suppose 0 = -4*k - 3*o - 72, 5*o - 9 - q = 0. What is the units digit of -1 + (1 - (k + 3))?
8
Suppose b - w + 6*w - 4044 = 0, -b = 3*w - 4050. What is the thousands digit of b?
4
Suppose 7*m = 2*m + 4*j + 156, -3*m + j = -88. What is the hundreds digit of (-9*6/(-7))/(2/m)?
1
Let x be (-6)/(-8)*(-40)/(-15). Let l be (x + 0)*(2 + 5). Suppose l - 59 = -5*s. What is the units digit of s?
9
Suppose -12*k - 7260 = -14*k - 2*v, 0 = -k + 4*v + 3635. What is the hundreds digit of k?
6
Let i(j) = -j**2 + 21*j - 24. Let k be i(14). Let p = k + 13. What is the units digit of p?
7
Let h(u) be the third derivative of 79*u**4/24 + u**3/6 - 2*u**2. Let p be h(1). Suppose 15*w - 11*w = p. What is the tens digit of w?
2
Let k be 3/2*(-40)/6. Let u = -5 - k. Suppose 5*y + 2*b - 24 = 0, -u*y - 2*b = -y - 20. What is the units digit of y?
4
Let p(j) = -180*j**3 + 2*j**2 + 2*j - 1. Let v be p(-1). Let s = -60 + v. What is the units digit of s?
9
Suppose -5*l - 10 = 0, l + 4*l = -5*s - 10. What is the hundreds digit of 96 + s + 0/(-2) + 4?
1
Let a = 0 - -2. Let v be 8/24 + (2 - (-310)/6). Suppose u + 256 = 6*u + 4*c, -u = -a*c - v. What is the units digit of u?
2
Let q(b) = 6*b**2 - 5*b**2 + 34 - 27*b - 2*b**2. What is the units digit of q(-21)?
0
Suppose -3*y + 72 + 164 = 4*s, 4*s - 5*y - 236 = 0. Let t = s - 12. What is the tens digit of t?
4
Let p(h) = -4*h - 15. Let o be p(-6). Let w be (-104)/(-6) - (-6)/o. Suppose -a + 18 = -w. What is the units digit of a?
6
Let p be 0*-1*(0 + 1). Let z(r) be the second derivative of r**4/12 + r**3/6 + 5*r**2/2 - 65*r. What is the units digit of z(p)?
5
Let a = 0 + -1. What is the units digit of 44 - 0/(-3) - (-1)/a?
3
Let v be 6*(2 - 4)*2/4. Let o(j) = -j**3 - 3*j**2 - 3*j. What is the units digit of o(v)?
6
Suppose -8 = f - 2*r, -3*r + 13 = 3*f - 8. Suppose 0*m + 4 = -2*m, 0 = -f*w + m + 254. What is the hundreds digit of w?
1
What is the units digit of 2 + 1227*2/6?
1
Let z = -25 + 39. Suppose 5*q + z = -6. Let t = q - -8. What is the units digit of t?
4
Suppose 0 = 23*q - 21*q + 2284. What is the tens digit of 2/(-6) - q/6?
9
Let x = 10 + -8. Suppose 0 = 5*d + 4*l - 2*l - 30, -x*l + 10 = 0. What is the units digit of 24 - (-5 + d + -3)?
8
Let h(w) = 60*w**2 + 10*w - 11. What is the units digit of h(1)?
9
Suppose 1016 = 4*t - c, -5*t - 4*c = -1591 + 321. What is the hundreds digit of t?
2
Suppose 167 = 4*g - 201. What is the units digit of g?
2
Let b(x) = -2*x**3 - 6*x**2 - x + 4. Suppose 0 = -r + 2*l - 6, -2*r + 0*r + l - 9 = 0. What is the tens digit of b(r)?
4
Suppose 39*i + 14102 = 5*r + 38*i, 5*r + i - 14098 = 0. What is the tens digit of r?
2
Suppose v = r + 617, -3*v - 2*r + 1811 = 3*r. What is the tens digit of v?
1
Suppose -5*g - 2 = -3*g. Let p be 3 - (0 - -3) - g. What is the units digit of p/((3 + -4)*-1)?
1
Let d be (4/3)/(3 + (-46)/18). Suppose -d*j + 5*q = -55, -4*q + 0*q - 34 = -2*j. What is the tens digit of j?
2
Let i = 9 - 6. Suppose -2*l - 80 = i*l. What is the units digit of (-1)/(l/12 - -1)?
3
Let x = -233 + 3903. What is the units digit of x?
0
Suppose 2*q - 6*r = -4*r - 2, 4*q = 5*r - 8. Let w(a) be the third derivative of a**5/30 - a**4/6 - 3*a**2. What is the units digit of w(q)?
6
Let i be (210/45)/((-4)/6). Let b(l) = -l**2 - 7*l + 2. Let u be b(i). Suppose 92 = 2*p - u. What is the units digit of p?
7
Suppose 350 = -15*b + 2150. Suppose -2*l + 6*l = -3*j - 22, j = -3*l - 19. What is the units digit of (-2)/l - b/(-21)?
6
Let o be (-6)/(-21) - (-6)/(-21). Suppose 4*z + o*z + 16 = 0. What is the tens digit of -10*z/(-6)*-3?
2
Let c(a) = 1782*a - 325. What is the hundreds digit of c(2)?
2
What is the hundreds digit of (-8 - -6) + 9 + 166?
1
Let j = 1766 + -156. What is the tens digit of j?
1
Suppose 7*g = 3*g + 4192. What is the thousands digit of g?
1
Let x = 15 - 15. Let a(b) = -4*b + 22. What is the tens digit of a(x)?
2
Let t = -12 + 4. Let i = t - -63. Suppose -5*g + 2*x + 95 = 6*x, 2*x = -3*g + i. What is the units digit of g?
5
Let m be -6 - -1 - (5 + -1). Let y = m - -16. Suppose -10*u + y*u = -108. What is the tens digit of u?
3
What is the tens digit of (12 - 0)*(-5)/(-15) + 5043?
4
Let c(i) = i**3 - 6*i**2 + 4*i - 5. Let d be c(5). Suppose 4*h + 3*o - 6*o = 13, 5*h - 20 = 5*o. What is the units digit of 25/h - (-11 - d)?
6
Suppose 20*k = -4*k + 6024. What is the units digit of k?
1
Suppose 0 = -4*q - 3*m - 85, -3*m = -0*m - 3. Let g be 458/q + 4/(-22). Let r = 32 + g. What is the tens digit of r?
1
Let q(y) = -7 + y - 9*y + 7*y. Let a be q(0). Let s(z) = z**3 + 7*z**2 - 2*z - 4. What is the units digit of s(a)?
0
Suppose j + 2*z = 1701, -j - 5*z = -181 - 1508. What is the units digit of j?
9
Let y = 2082 + 796. What is the hundreds digit of y?
8
Let a be 4/(-14) - 31100/(-70). Let m = a + -233. What is the hundreds digit of m?
2
Let k be (2 - (-5 - -5))/(2*1). What is the units digit of ((-35)/30)/(((-2)/12)/k)?
7
Let k(z) = z**3 + 34*z**2 + 54*z + 14. What is the tens digit of k(-32)?
3
Let x be (-2)/(-5) - 17432/(-20). Suppose -27*i = -23*i - x. Suppose 5*j - 4*m - i = 0, -3*m = 3*j - j - 101. What is the tens digit of j?
4
Suppose -2 = a - 84. Let h = 11 + -6. Suppose -108 - 36 = -h*l + 3*w, -4*w = -3*l + a. What is the units digit of l?
0
Suppose -28*k - 4*r = -33*k + 3424, -3*r = -k + 676. What is the tens | {
"pile_set_name": "DM Mathematics"
} |
2. Let v(z) = -25*z. What is b(v(s))?
2281151875*s**2
Let w(v) be the first derivative of 3*v**3 - 946 - 4*v**3 + 446 + 392. Let a(t) = 89*t. Determine w(a(m)).
-23763*m**2
Let k(c) = 144*c - 110. Let b(w) = 791*w - 616. Let a(p) = 5*b(p) - 28*k(p). Let q(f) = -11*f**2. What is a(q(j))?
847*j**2
Let a(b) = 2*b**2. Let x(d) = -945653076*d. Calculate a(x(p)).
1788519480296523552*p**2
Let l(i) = 9*i. Let z(c) = -5*c. Let r(y) = -4*l(y) - 7*z(y). Let g(b) = -3*b + 127. Let v be g(34). Let q(n) = 0*n + 4*n - v + 25. What is q(r(a))?
-4*a
Let a(m) = -12*m**2 - 7*m**2 + 11*m**2. Let z(o) = 169*o + 171*o - 350*o. What is z(a(f))?
80*f**2
Let a(l) = -8*l - 3*l + l + 6*l - l. Let m(z) = -1483*z. Determine m(a(t)).
7415*t
Suppose -7*x + 3*x + 16 = 0. Suppose t = 0, x*l - 3*l - 3 = -3*t. Let c(h) = -770*h - l*h**2 + 770*h. Let m(a) = 18*a**2. Determine m(c(k)).
162*k**4
Let h(d) be the first derivative of d**3/3 + 6708. Let c(i) = i - 3354. Determine c(h(k)).
k**2 - 3354
Let y(a) = -12*a**2. Let v be ((-44)/10 - -2)/(9*(-9)/270). Let d(c) = -c**3 + 4*c**2 + 5. Let i be d(4). Let h(j) = -5*j + v*j - 5*j + i*j. Determine h(y(t)).
-36*t**2
Let y be -4 + 4/(-14) + (-176)/(-28). Let i(v) = 6*v**y + 40470 - 40470. Let j(n) = -2*n. Calculate i(j(a)).
24*a**2
Let r(h) = 8*h**2 + 0*h**2 - h**2. Let f(j) be the second derivative of 19*j**3/6 + 12368*j. Give f(r(d)).
133*d**2
Let i(d) = -26*d**2 - 7732628*d + 7732628*d + 75*d**2. Let u(v) = 4*v. Calculate u(i(h)).
196*h**2
Suppose -3*g + k + 3 = 0, -6*g = -4*g + 3*k - 13. Let c(m) = 0*m - 1 - 3*m - g*m + 3. Let u(v) = -2*v**2. Calculate c(u(i)).
10*i**2 + 2
Let a(l) = -24*l + 5. Let o(v) = -5*v**2 - 48*v + 8. Let w(t) = 2*t**2 + 18*t - 3. Let z(n) = -3*o(n) - 8*w(n). Determine z(a(r)).
-576*r**2 + 240*r - 25
Let t(k) = -31*k + 6. Let h(m) = -72*m + 14. Let d(f) = 3*h(f) - 7*t(f). Let s(a) = -3 - 154*a + 76*a + 1 - 105*a. Determine s(d(g)).
-183*g - 2
Let n(g) = -236093*g. Let f(s) = 9*s. Calculate n(f(h)).
-2124837*h
Let n(d) = 125*d**2 + 4*d + 8. Let p(t) = 124*t**2 + 3*t + 6. Let a(v) = 3*n(v) - 4*p(v). Let g(u) = -u**2. Calculate a(g(k)).
-121*k**4
Let d(x) = 2*x**2. Suppose -4*y + 2855 = -1529. Let f be (30/20)/(6/y). Let c(r) = -11*r + 274 - f - 7*r. Calculate c(d(m)).
-36*m**2
Let m(c) be the third derivative of 0 + 0*c + 7/24*c**4 - 127*c**2 + 0*c**3. Let t(u) = -16*u**2. What is m(t(p))?
-112*p**2
Let a = -84 + 66. Let x = a - -20. Let l(c) = -16*c**2 - 9*c**x - 9*c**2 + 35*c**2. Let n(d) = 8*d**2. What is n(l(t))?
8*t**4
Let r(o) = -o**2. Suppose w + 5*l + 2 = 0, 6*w - 30 = 3*w + 3*l. Let a(q) be the first derivative of 0 + 5*q**2 + 5*q**2 + 4*q**2 - w. What is a(r(i))?
-28*i**2
Let z(o) = 11*o**2. Let q(p) be the third derivative of 0*p**3 + 2*p**2 + 19*p + 3/8*p**4 + 0. Determine q(z(v)).
99*v**2
Let f(z) = -3399*z - 30. Let p(c) = -146151*c - 1296. Let l(a) = 216*f(a) - 5*p(a). Let u(t) = -t. Determine u(l(r)).
3429*r
Let q(r) = 3169*r. Let w(g) = -9*g - 24. Let n(h) = 25*h + 64. Let i(a) = -3*n(a) - 8*w(a). What is q(i(s))?
-9507*s
Let i be (25/30)/(5/30). Let n(v) = v + 6*v + v - i*v. Let d(p) = -22*p**2. Determine d(n(j)).
-198*j**2
Let t(y) = 3*y. Let n(a) = 15*a**2 - 33 + 38517*a - 38517*a. Determine t(n(s)).
45*s**2 - 99
Let w(f) = -3*f**2. Suppose -4*n + 248 = 6*c - c, n - 153 = -3*c. Let k(v) = 63*v + c*v - 104*v. Determine k(w(l)).
-33*l**2
Let k(g) = -g**2. Let i(x) = -x**2 + 8*x + 147. Let f be i(0). Let h(q) = -63*q - 2*q**2 - f + 147. Give h(k(l)).
-2*l**4 + 63*l**2
Let s(j) = j**2. Let r be (308/(-33) + 10)/(4/18). Let h(d) be the third derivative of 5/24*d**4 + 0*d**r + 7*d**2 + 0*d + 0. Calculate s(h(x)).
25*x**2
Let d(f) = 40183*f + 2. Let k(o) = 3*o + 77. What is d(k(h))?
120549*h + 3094093
Let h(w) = 5*w + 204. Let z(l) = -12*l - 191. What is z(h(a))?
-60*a - 2639
Let x(l) = 9202*l. Let g(n) = 2*n + 876. Calculate g(x(z)).
18404*z + 876
Let p(i) = 3*i**2. Let v(x) = 65*x**2 - 598*x + 1. Calculate v(p(h)).
585*h**4 - 1794*h**2 + 1
Let y(g) = 8*g - 5573*g**2 + 2 + 147 + 5572*g**2. Let u(w) = 2*w. Give u(y(j)).
-2*j**2 + 16*j + 298
Let x(c) = -c. Let o(k) = 611*k - 661936 + 661936. Give o(x(v)).
-611*v
Let x(g) = 7*g**2 - 31*g**2 + 60*g**2 - 7*g**2. Let y(d) = -3*d - 3. What is x(y(m))?
261*m**2 + 522*m + 261
Let j(k) = -83*k - 2. Let r(b) = 317*b + 8. Let s(l) = 23*j(l) + 6*r(l). Let z(m) = 2*m**2 - 10*m. Give z(s(f)).
98*f**2 + 14*f - 12
Let v = 3 + -1. Let q(y) = -2*y**2 + 2*y**v - y**2 + 2*y**2. Let m(t) = -15*t - 2. Let a(h) = -23*h - 3. Let j(x) = 2*a(x) - 3*m(x). Give q(j(r)).
r**2
Let m(f) = 152051*f - 14. Let r(u) = 3*u. Give m(r(z)).
456153*z - 14
Let o(q) be the third derivative of 452*q**4/3 - 483*q**2. Let d(y) = 2*y. Calculate o(d(f)).
7232*f
Let g(k) be the third derivative of -k**4/24 - 1422*k**2. Let r(b) = 12*b + 9. Give g(r(n)).
-12*n - 9
Let l(b) = -2*b. Let r(y) be the second derivative of -8*y + 0*y**2 - 5/3*y**3 + 0. Calculate r(l(j)).
20*j
Let j(n) = -27*n**2. Let y(w) = -w**3 - 7*w**2 + 7*w + 6. Let u = -125 + 117. Let b be y(u). Let i(h) = -28 + 3*h + 14 + b. Calculate j(i(v)).
-243*v**2
Let r(v) be the third derivative of -7*v**5/30 + 2122*v**2. Let k(a) = -4*a**2 - 5*a + 2*a + 3*a. Calculate r(k(u)).
-224*u**4
Let k(u) = -4*u**2 - 2*u - 12. Let d(o) = 21*o**2 + 11*o + 66. Let b(q) = 2*d(q) + 11*k(q). Let g(w) = -456*w**2. Determine b(g(h)).
-415872*h**4
Let q(a) = 9*a + 13. Let s(h) = 165 - 37137*h**2 + 37141*h**2 - 165. What is q(s(w))?
36*w**2 + 13
Let k(o) = -14*o**2 - 26*o**2 + 28*o**2. Let f(r) = 4*r**2 + 40. Determine f(k(t)).
576*t**4 + 40
Let n(g) be the first derivative of 7*g**3/3 - 74. Let c(o) = 2*o**2 - 3*o**2 + 2*o**2 + o**2. Calculate n(c(v)).
28*v**4
Let c(a) = 3*a**2 + 285*a. Let s(p) be the first derivative of -p**3 - 8544. Determine c(s(f)).
27*f**4 - 855*f**2
Let h(s) = -5045*s. Let o(i) = -162*i**2 - 25*i + 25. Let c(k) = 13*k**2 + 2*k - 2. Let l(n) = -75*c(n) - 6*o(n). What is h(l(t))?
15135*t**2
Let f(k) be the second derivative of 155*k - 1/6*k**3 + 41/12*k**4 + 0*k**2 + 1. Let i(b) = -b**2. Calculate i(f(t)).
-1681*t**4 + 82*t**3 - t**2
Let b(m) = -2*m**2. Suppose 17*n - 24*n + 189 = 0. Let w(k) = 51*k - 24*k + 5*k**2 - n*k. Determine w(b(f)).
20*f**4
Let s(n) = 4047104*n. Let l(a) = -3*a + 3. What is s(l(h))?
-12141312*h + 12141312
Let b(j) = -j. Let i(f) = -923*f - 68. Let l(r) = -7. Let c(u) = i(u) - 10*l(u). What is c(b(d))?
923*d + 2
Let w(k) = -175*k**2 - 6*k - 76. Let c(r) = -r**2 + r + 13. Let x(n) = -6*c(n) - w(n). Let d(f) = 7*f**2. Give x(d(o)).
8869*o**4 - 2
Let n(f) = 18*f - 4. Let h(u) = 110*u**2 - 16*u - 32. Let v(t) = -35*t**2 + 5*t + 10. Let o(s) = -5*h(s) - 16*v(s). Determine o(n(g)).
3240*g**2 - 1440*g + 160
Let y(w) = 67*w - 2. Let d be y(2). Let p(a) = -277*a**2 + d*a**2 + 141*a**2. Let c(j) = 4*j. Determine c(p(s)).
-16*s**2
Let w(c) = -457753*c. Let a(z) = 12*z. Give a(w(k)).
-5493036*k
Let x(b) = 23*b. Let p(j) = 713*j + 868. Let l(q) = 34*q + 42. Let s(c) = -62*l(c) + 3*p(c). Give x(s(g)).
713*g
Suppose 2*z = -4*k, 1 = -5*k - 4. Let p(t) = -6*t**z - 39746 + 39746. Let x(w) = 9*w. Calculate x(p(q)).
-54*q**2
Let x(k) = -2*k**2. Let b(l) = -44032075*l**2 + 110170*l + 55085. Let t(n) = 2398*n**2 - 6*n - 3. Let m(u) = -6*b(u) - 110170*t(u). Give m(x(w)).
19160*w**4
Let d(l) = l + 4480. Let b(n) = 23*n**2 + 1600. Determine b(d(i)).
23*i**2 + 206080*i + 461620800
Let w(j) = -109 + 170*j**2 + 170 + 277 - 79*j**2 - 92*j**2. Let f(h) = 14*h**2. Determine f(w(n)).
14*n**4 - 9464*n**2 + 1599416
Let j(o) = -152*o**2 - 15*o + 17. Let c(y) = -115*y**2. What is j(c(l))?
-2010200*l**4 + 1725*l**2 + 17
Let x(z) = 30*z. Let c(h) = 24*h**2 - 3. Let v(u) = 27*u**2 - 4. Let i(g) = 4*c(g) - 3*v(g). Calculate i(x(p)).
13500*p**2
Suppose 572 = 56*o - 4*o. Let a(x) = -13*x**2 - 2*x**2 - o*x**2 + 36*x**2. Let g(v) = -18*v**2. Calculate g(a(j)).
-1800*j**4
Let s(y) = y**3 - 3*y**2 - 8*y + 8. Let h be s(7). Let d(t) = -h*t - 2 - 8 + 10. Let o(i) = -2*i**2. Determine d(o(b)).
296*b**2
Let o(y) = 1169*y. Let h(b) = 2*b**2 - 908*b + 1747*b - 839*b. Calculate o(h(n)).
2338*n**2
Let n(f) be the second derivative of 0 + 1/6*f**3 + 0*f**2 - 62*f. Let c(j) = -j - 18. Calculate c(n(t)).
-t - 18
Let x(g) = g**2 + 2*g - 4. Let b(z) = -24*z**2 - | {
"pile_set_name": "DM Mathematics"
} |
i**2 + (-4*i - i + 6*i)*(i - 3*i + 5*i) - 3*i**2 + 0*i**2 + i**2 + 2*i**2 - 10*i**2 + 5*i**2.
-i**2
Expand 0*p**3 - 3*p**4 + 0*p**3 + (1 - 1 + 2*p**2)*(-12 + 12 - 10*p**2).
-23*p**4
Expand (-4 + 4 - 3*i)*(i + 2*i + 0*i + i**2).
-3*i**3 - 9*i**2
Expand (y + 0*y + y)*(3 - 2 + 0) + 16 - 16 + 3*y.
5*y
Expand -2 + 2*m**2 + 2 + (-3*m + 0*m + m)*(0*m + 3*m - m) + 2*m**2 + 0*m**2 - m**2 + 1 - 3*m + 5 + 3*m**2 - 5.
2*m**2 - 3*m + 1
Expand (2*d + d - 2*d)*(5 - 1 - 1) + 2*d + 0*d + 3 - 5.
5*d - 2
Expand (-4*x + 6*x - 4*x)*(-2 + 1 - 1).
4*x
Expand -4 + 4 - 2*y**5 + (-3*y**3 + y**3 + 3*y**3)*(-11*y**2 + 19*y**2 - 3*y**2).
3*y**5
Expand (-3 + 3 + 3*w - 3*w + w + 4*w + (-3 + 6 - 1)*(4*w - 3*w - 3*w))*(-2 - 1 - 3).
-6*w
Expand (-3*x**2 + x**3 + 3*x**2)*(2 + 3 - 4) + 7*x**3 + 8 - 8.
8*x**3
Expand (2 - 5*f + 3*f - 1)*(0*f**2 + 0*f**2 - 3*f**2).
6*f**3 - 3*f**2
Expand (-2 - 2 + 2)*(-2*z - 2 + 2)*(18 + 5 - 16).
28*z
Expand (-3*x + 0 + 1 + 4*x)*(-10 + 10 - 8*x)*(-1 + 1 + x).
-8*x**3 - 8*x**2
Expand (0*r + 3*r - 5*r)*(-11 + 19 + 56) + 0*r - r + 0*r.
-129*r
Expand 0*h**3 - 2*h**5 + 0*h**3 + (h - h + 7*h**3)*(23 - 23 - 2*h**2).
-16*h**5
Expand 0*m**5 + 4*m**5 - 3*m**5 - 2*m**5 + 4*m**3 - 4*m**3 + 5*m**5 - m**5 - 2*m**5 + (0*m + 0*m + m**5)*(0 + 2 - 4) + 3*m**5 - 2*m**5 - 3*m**5.
-3*m**5
Expand (-1 + 6 - 3)*(0*l + 2*l - 4*l) - 4*l + l + 2*l + (4*l - 4*l - 2*l)*(1 - 3 + 3) - 3*l + 6*l - l.
-5*l
Expand (4*u - u - u)*(-4*u + 3*u + 0*u) + (1 - 2 - 2)*(0*u + 2*u - u)*(-4*u + u + u).
4*u**2
Expand 2*f + 2*f - 3*f + 5 - 5 - 8*f - 4*f + 2*f + 4*f + (1 - 1 + 2)*(-f + 1 - 1) - 3 + 3 - f - f + 0*f + 3*f.
-6*f
Expand (-28 - 8*b + 28 + 4*b - 4*b - b + (0*b + 3*b - b)*(-1 + 5 - 2) + b + 2 - 2)*(b + 3*b - 3*b).
-4*b**2
Expand -3 - 3*q**2 + 3 + 1 - 5*q**2 - 1 + (-5*q + 0*q + 3*q)*(3*q - 2*q + 0*q).
-10*q**2
Expand (2*o + o - 2*o)*(5*o - 6*o - 2*o) + 3*o - o**2 - 3*o.
-4*o**2
Expand 2*a**4 + 0*a + 0*a + (-2 + 2 - 2)*(-a**4 + 2*a**2 - 2*a**2) + (-4 + 4 - 2*a)*(-2*a**3 - 3*a**3 + 3*a**3).
8*a**4
Expand (-2 + 2 + 2*g)*(g**3 + 5*g**3 - 4*g**3) + 22*g**4 + 9*g**4 - g**4.
34*g**4
Expand (-6 - 5 - 5)*(-5*h**2 + 5*h**2 - 2*h**2).
32*h**2
Expand (-6*v + 0*v + 5*v)*(-v + 3 - 3)*(-3 + 3 + 1).
v**2
Expand -4*p**3 - 3*p**3 + 4*p**3 + (-2*p**2 + 4*p**2 - p**2)*((3*p - p - 3*p)*(-1 - 2 + 1) - p + 2*p - 2*p + 4*p - 3*p + 2*p).
p**3
Expand (-1 + 1 + 1)*(5*s - 2*s - s)*(-18 + 18 + 17*s**2).
34*s**3
Expand (-5*y + 5*y - 2*y)*(4*y + y - 3*y) - 2*y**2 - y**2 + y**2 - y**2 - 3 + 3 + 7*y**2 + 2*y - 7*y**2 - 4*y**2.
-11*y**2 + 2*y
Expand 4*y + 964 - 964 + 0 + 0 + y + (-4 + 4 + 2)*(2*y - 3 + 3) + 0*y + 3*y - y - 2 + y + 2 - 6*y + 2*y + 2*y.
10*y
Expand (0 - 1 + 0)*(0*o**4 + 0*o**4 + 3*o**4).
-3*o**4
Expand (-r**2 + r**2 - 3*r**3)*(-2*r - 7*r - 17*r) + r**4 - 2*r**3 + 2*r**3.
79*r**4
Expand (1 - 2*a**2 - 1)*(26*a - 26*a + 7*a**2) + 1 - 3*a**4 - 1.
-17*a**4
Expand (-2 + 1 + 3 - p)*(44 - 29 - 25).
10*p - 20
Expand (-5*h + 6*h**3 + 5*h)*(-2*h**2 + 5*h**2 - 18*h**2).
-90*h**5
Expand (3 + 0 - 1)*(0*f + 0*f - 2*f**2) - f + 2*f**2 + f + (2 - 2 + f)*(2 - 54*f + 105*f - 52*f).
-3*f**2 + 2*f
Expand ((o + 6 - 6)*(-o + 0*o - o) + (-3 + 4 - 3)*(0*o**2 + 3*o**2 + 0*o**2))*(-2*o**2 + 3*o**2 + 2*o**2).
-24*o**4
Expand (0 + 0 + h)*(1 + 2 - 2) - 185 + 24*h + 185.
25*h
Expand -2*p**2 + 0*p**2 - 42*p**3 + 40*p**3 + (-4 + 4 - 2*p)*(-3*p**2 + 3*p**2 + 2*p**2).
-6*p**3 - 2*p**2
Expand (-3 - 2*p + 3)*(-5*p + 3*p + 0*p) - 12*p**2 - 20*p**2 + 4*p**2.
-24*p**2
Expand (x**3 - 3*x**3 - 11*x**3)*(1 - 1 - 2*x).
26*x**4
Expand (-2*k**3 + 2*k**2 - 2*k**2 + (3*k - 2*k**3 - 3*k)*(-2 + 0 + 4) + k**3 - 6*k**3 + 2*k**3)*(-4*k + k + k).
18*k**4
Expand (2*o - 3 - 5*o + o)*(-o**4 + o**4 + o**4).
-2*o**5 - 3*o**4
Expand 3*d**5 + d**5 - 2*d**5 - 5*d**5 - d**5 + 5*d**5 + (4 - d**2 - 4)*(0*d**3 - 3*d**3 + 5*d**3) + 12*d**5 - 135 + 135.
11*d**5
Expand h**2 - h**2 + h**2 - 2*h**2 - h**2 + 2*h**2 + (0*h - 4*h + 5*h)*(-3*h + 3*h - 2*h) - 3*h**2 - 2*h**2 + 3*h**2.
-4*h**2
Expand (-8 - 1 + 9 - 19*d)*(-4*d**2 + d**2 + 0*d**2).
57*d**3
Expand 2*a**2 - a**2 + 2*a**2 + (-2*a**2 + 4*a**2 - a**2)*(-3 + 6 - 1) - a**2 - 4*a**2 + 4*a**2 - 20*a**2 + 6*a - 6*a.
-16*a**2
Expand (-3*c + 6*c - c)*(0 + 4 - 2)*(2*c + c - 2*c)*(2 - 4 + 0).
-8*c**2
Expand (-1 + 3 + 4)*(-n**3 + n**3 + 2*n**4).
12*n**4
Expand (y**2 + y**2 - 3*y**2)*(-15*y - 44 + 44).
15*y**3
Expand (k**2 - 2*k**2 - k**2)*(k - 4*k + k) + (3*k + 3*k - 4*k)*(0*k + 2*k**2 + 0*k).
8*k**3
Expand y**2 + 0*y + 0*y + (13 - 13 + 7*y)*(-y - 2*y + 5*y).
15*y**2
Expand (-4*v - 4*v + 6*v)*(0 + 2 + 0) + (-3 - 3 + 7)*(-1 + 1 + 3*v) - 72 + 19*v + 72.
18*v
Expand 34*x**4 - 47*x**4 + 32*x**4 - 4*x + 4*x - x**4 - 2*x**4 + x**4 + 3*x**4 + 3*x**2 - 2*x**4 - 3*x**2 + (3*x**3 - 4*x**3 + 0*x**3)*(3*x - x + 0*x).
16*x**4
Expand (29*d**2 + 49*d**2 + 0*d**2)*(d**3 - 3*d**3 + d**3).
-78*d**5
Expand (-2 - 3 + 6)*(-d + d + 2*d)*(6*d**2 - 2*d**2 + d**2 + d**2 - 4*d**2 + d**2 + 0*d**2 - d**2 + 0*d**2 + (-4*d - d + 3*d)*(-d + 2*d + d)).
-4*d**3
Expand 5*z**5 + 2*z - 2*z + (z**2 + 0*z**2 + 0*z**2)*(6*z**3 + 0*z**3 - 4*z**3) - 3*z**5 - 3*z**5 + 7*z**5 - 4*z**5 + 0*z**5 + 3*z**5 + z**5 + 0 + 0.
8*z**5
Expand (2 - 3 - 1)*(0 + 0 + f) + 59 + 13*f - 58 + 28*f + (-2 + 2 - 2)*(1 - 1 + f).
37*f + 1
Expand ((0 + 0 + 1)*(1 + 5 - 3) + 0 - 1 - 1 + 3 - 2 + 0)*(-2*h + 2 - 2).
-4*h
Expand (-c - 3*c + 3*c + (4*c + 0*c - 5*c)*(3 + 8 - 1))*(-5 + 4 - 1).
22*c
Expand 2*t**2 + 2 + 3*t**4 - 5*t**4 + 0*t**2 + 2*t**4 + 0*t**3 + 0*t**3 + (4 - 4 + 2*t)*(t**3 + 0*t + 0*t).
2*t**4 + 2*t**2 + 2
Expand (3*p - 2*p - 3*p)*(2*p**2 + p - p) + 7*p - 5*p**3 + 3*p**3 + 2*p.
-6*p**3 + 9*p
Expand (-5 - 5 + 3)*(-1 + 1 + 2*h + (-2*h + 2*h + 2*h)*(0 - 1 + 2) - h + 0*h + 2*h).
-35*h
Expand (4*b + b - 3*b)*(-1 + 1 - b) + (-b + b - b)*(0*b + 4*b - 3*b) - 4*b**2 - b**2 + 4*b**2.
-4*b**2
Expand (-2*y - y**3 + 2*y)*(28*y**2 - 11 + 11).
-28*y**5
Expand (0 - 1 - 2)*(-3*j + 0*j + j) + (1 + 3 - 1)*(3*j + j - 3*j).
9*j
Expand (2*s**3 + 4*s**3 - 4*s**3)*((0*s + 3*s - 5*s)*(1 + 3 - 2) + 2*s - 3*s + 3*s).
-4*s**4
Expand (-7 - 37 - 5)*(g**4 + g - g).
-49*g**4
Expand b + 2*b**2 - 1 - 2 + 2 + (4*b + b - 3*b)*(-3*b - 3 + 3).
-4*b**2 + b - 1
Expand (-2*d + 4*d - d)*((0*d - d + 0*d)*(d**3 + 0*d**2 + 0*d**2) + (7 + 6*d**2 - 7)*(0*d - d**2 + 0*d)).
-7*d**5
Expand (371 - 4*h - 371)*(-h - 2*h + h).
8*h**2
Expand (3*d + d + d)*(2*d**2 + 0 + 0 - 2*d).
10*d**3 - 10*d**2
Expand (0 + 0 - r + 3*r - 4*r - r + (-1 - 1 + 1)*(0*r + 3*r - 2*r))*(10 + 6*r - 10).
-24*r**2
Expand (0*l + 3*l - 4*l)*(5 - 5 + 4).
-4*l
Expand (-3*z**4 + z**4 + z**4)*(z - z + 2*z) + z**3 - z**5 - z**3 + (7*z**2 - 4*z**2 + 2*z**2)*(0*z**3 - z**3 + 0*z**3).
-8*z**5
Expand (-62*s**2 + 27*s**2 - 46*s**2)*(4*s + s - 4*s - s + 3 - 3 + s + 3*s - 5*s + (4*s + 2*s - 4*s)*(0 - 3 + 1)).
405*s**3
Expand ((-k + k - 2*k)*(k - k + 2*k) + 0*k**2 - k**2 + 3*k**2 - k**2 + 2 - 2 - 5*k**2 + 2*k**2 + k**2 - k**2 + 0*k**2 + 3*k**2)*(7*k - 5*k + 7*k).
-27*k**3
Expand -2*n**5 + n - n + (-2*n**2 - 4*n**2 + 5*n**2)*(-2*n**3 + 2*n**3 + n**3) + 0*n + 0*n - 2*n**5 - 10*n**5 - 6*n**5 - 2*n**5.
-23*n**5
Expand (-3*d**2 - 2*d**2 + 3*d**2)*(0 - 4 + 2) + d**2 - 6*d - 2 + 6*d.
5*d**2 - 2
Expand 50*v**4 - 35*v + 35*v + (-3*v**2 + 2*v**2 + 0*v**2)*(0*v**2 + 3*v**2 - 5*v**2).
52*v**4
Expand 3*w**4 - w**4 - 3*w**4 + (2 + w**2 - 2)*(-w**2 + 2*w**2 - 2*w**2).
-2*w**4
Expand (-3 + 5 + 0)*(-3*y**3 + 2*y**3 + 0*y**3)*(3*y - 1 - 4*y - y).
4*y**4 + 2*y**3
Expand 4*k**5 + 3*k**5 - 2*k**5 + (-k**2 + k**2 + k**4)*(2*k + k + 0*k).
8*k**5
Expand 1 + 3 + k**5 + 0 + (2*k**3 + 2*k**3 - 3*k**3)*(6*k**2 - 4*k**2 - 3*k**2) - 2*k**5 - k**3 + k**3 - k**5 + 2 - 2.
-3*k**5 + 4
Expand (-23 - 5*g + 23)*(-5 + 4 - 1)*(-g + 0*g - 16 + 10).
-10*g**2 - 60*g
Expand (-5 - 8 + 4 + (-4 + 1 + 2)*(3 + 1 - 2) + 0 + 0 - 1)*(3*w - 5*w - w).
36*w
Expand (-j + 4*j - 2*j)*(j**2 - j**2 - 2*j**2) + 116*j**2 - 116*j**2 + 41*j**3.
39*j**3
Expand (4 + 3 - 5)*(-2*j**3 + 0*j**3 - j**3 + (2 - 2 - j**2)*(-3*j + 2*j + 0*j)) + (-4*j**3 + 2*j**3 + 0*j**3)*(4 - 1 - 1).
-8*j**3
Expand (46 - 46 - 5*q)*(1 + 1 - 3) + (-3 + 1 + 1)*(-2*q - 3 + 3) + 2*q - 2 + 2.
9*q
Expand 2*d**2 + 0*d**2 - d**2 + 0*d**2 - 2*d**2 + 4*d**2 + (-3 - d + 3)*(d + 2 - 2) + (-1 + 3*d + 1)*(0*d + 3*d - d).
8*d**2
Expand 94*t + 5 - 9 - t**2 - 96*t - 3*t**2 - 2*t**2 + | {
"pile_set_name": "DM Mathematics"
} |
t is -11928649176 minus 0.15?
-11928649176.15
Total of 5349292079 and 7.076.
5349292086.076
270294851889 - -2
270294851891
What is -57116927 take away -353?
-57116574
151194051594 + -2863
151194048731
What is the difference between 3.2 and 8221059901?
8221059897.8
Calculate 155669479893 - 0.4.
155669479892.6
What is -0.99894 - -14467097?
14467096.00106
-345+-33036346499
-33036346844
Work out -0.506757 + -9089.5.
-9090.006757
What is -135 minus 4927167630?
-4927167765
Subtract 34 from 1646218300.56.
1646218266.56
Put together 0.1212 and 53.038974.
53.160174
5.2 + 521232453.779
521232458.979
Work out -14607247698 - 7019.
-14607254717
Subtract -51730433 from 77.5197.
51730510.5197
What is 34955319 - -54459?
35009778
Total of -2091547895 and 4032.
-2091543863
Put together -3619 and -97.09601026.
-3716.09601026
Add together -0.2 and 51633376888.
51633376887.8
Add together 6304 and -325213586.
-325207282
Put together -0.05 and 354.6674235232.
354.6174235232
What is -6.34575842 + -1191.9?
-1198.24575842
Add together -389.9442 and 2189244.9.
2188854.9558
Add 4 and -93351.9313176.
-93347.9313176
Work out 131337106941 + -3.7.
131337106937.3
0.0318754903+-0.85
-0.8181245097
Add together -1099.66 and 17.48510867.
-1082.17489133
Subtract 62126167043 from -22.
-62126167065
What is -20 plus 859300448894?
859300448874
What is -84.9981 - -5067818?
5067733.0019
What is -0.0595286 minus -6208.878?
6208.8184714
What is 0.4 plus 59761073906536?
59761073906536.4
Sum 101 and -22282685426.
-22282685325
Sum -3.297 and 21136315155.
21136315151.703
Subtract -1300 from 11331643293.
11331644593
Total of 852859.299 and -34.545.
852824.754
Work out -4 - 5.5887032467579.
-9.5887032467579
Calculate -908086 - -245.4763.
-907840.5237
4 - 443993700590
-443993700586
What is the difference between -1230977 and -5940.89?
1225036.11
Put together 0.0455 and 2458721223.
2458721223.0455
Subtract 367898515 from -48683.
-367947198
Work out 1549 - -226533871223.
226533872772
Total of 1894537435143 and -443.
1894537434700
-429.3541+0.0460158
-429.3080842
Work out 235210141656 - -0.2.
235210141656.2
What is -1642449300 take away -1929.2?
-1642447370.8
What is -0.3 take away -3247108036164?
3247108036163.7
Put together 0.07 and 7.1660014004.
7.2360014004
Add 0.1791 and -4.883387.
-4.704287
Sum -49351250219 and 2592.
-49351247627
What is the distance between 0.116047 and 2205957?
2205956.883953
5915+1725064.588
1730979.588
Work out -643.64288637 - -0.05.
-643.59288637
What is 0.5 take away 2280614129?
-2280614128.5
Put together -2479.9 and -12914779195.
-12914781674.9
Work out -590293944576 + -1.
-590293944577
Add together -203532 and -27.1087.
-203559.1087
What is -2.5242209 - -37.75824?
35.2340191
What is the distance between 24459546.816 and -302?
24459848.816
What is 10745.2 less than 16287311?
16276565.8
What is 813040702000 - -0.144?
813040702000.144
What is -181988549 take away -0.0229?
-181988548.9771
What is -279.992 plus 2.5650977?
-277.4269023
What is 3 plus 399989903532?
399989903535
1553.9+-329510.44317
-327956.54317
Sum 23354566 and -11.
23354555
What is -541.1277746 - -10.3?
-530.8277746
Calculate -1053486825 + 3528.
-1053483297
Subtract 8519873 from 49653.
-8470220
What is -1518982342 minus -14414.6?
-1518967927.4
Subtract 0.0323854 from -43.6044.
-43.6367854
Subtract 2370.47385 from 5.86.
-2364.61385
Work out -1230294115 + 4.53.
-1230294110.47
What is -752 take away -0.826969367?
-751.173030633
Calculate 1942.5 - 1312077.
-1310134.5
2018461.6712 - -3.1
2018464.7712
-243516 - 5525528.4
-5769044.4
What is 13710617129 less than -0.01777?
-13710617129.01777
What is 1103153211.6 minus 2?
1103153209.6
Work out 1503699335 + 305.
1503699640
7214296+284734
7499030
Put together 2810407.749 and 73946.
2884353.749
Calculate -1944675846 + 613.
-1944675233
118156446298 - 1
118156446297
Put together 0.0124244 and -78370.03.
-78370.0175756
What is -24675919 - 31411699?
-56087618
What is 284786 - 192909?
91877
What is 0.0252 + -21603052318?
-21603052317.9748
What is 0.00022 - 39278.87?
-39278.86978
What is -5165005741.856 + 5?
-5165005736.856
What is 80250080 + 7179?
80257259
What is -236419421251 - -18?
-236419421233
Subtract 3763766 from -80581.
-3844347
-43934589 - 201543
-44136132
What is -132 minus -123476008.7?
123475876.7
What is -715420 take away 423492?
-1138912
What is 12.5257571594 less than -0.5?
-13.0257571594
Add 0.195344645651 and -0.22.
-0.024655354349
-7 - 30450070737
-30450070744
Calculate -3428557 - 491.81297.
-3429048.81297
What is 1036931236 - -695?
1036931931
What is -5141 minus -24909.26212?
19768.26212
What is 2948774120 plus 2.2?
2948774122.2
Subtract 26005 from -16210109.
-16236114
Put together -7.20858687014 and 93.
85.79141312986
Subtract 55225581 from -4840.
-55230421
584384 + 3.2767652
584387.2767652
Work out 7 - 10.93731645735.
-3.93731645735
What is the difference between -29162579731 and -0.1?
29162579730.9
Put together -88480.2576152 and 0.02.
-88480.2376152
What is 0.26 less than 104904523774?
104904523773.74
What is 142779 + 7263902?
7406681
2506 + 20698.28642
23204.28642
What is -1254094 take away 0.8795915?
-1254094.8795915
What is 0.5 minus -85189612509252?
85189612509252.5
Work out -1106966 - -169820.
-937146
0.5 - -15219685148089.2
15219685148089.7
What is 831306879265 less than 0.5?
-831306879264.5
Calculate -7526631.403 - -0.0601.
-7526631.3429
Calculate -23.2 - 8057078370.
-8057078393.2
Subtract 9 from -627886971595.
-627886971604
What is 0.1477738136641 - 105?
-104.8522261863359
What is the difference between -124966379262442 and -3?
124966379262439
Total of -1622538894 and 54.
-1622538840
-4.1892689873 + -0.07
-4.2592689873
Calculate 0.52606 + -0.0786426.
0.4474174
Put together 3119105410 and 494.
3119105904
Add together 2.5993512919 and -0.4.
2.1993512919
Work out 5656004135.155 - -0.4.
5656004135.555
What is -119971 + 12671178?
12551207
Add -0.263008793 and -635.
-635.263008793
0.1253 - 703726.783
-703726.6577
Add together -64 and -618640719909.
-618640719973
Total of 31067516 and 0.01881.
31067516.01881
-87498 - -2826473
2738975
Add together -6989187.92 and 97.61.
-6989090.31
Put together -0.16 and 96097172953.
96097172952.84
Add together 2192728666.82 and -15.
2192728651.82
Calculate -4 + -873841284734.
-873841284738
Calculate 6386215563 + -35.
6386215528
Add 862.08639 and 0.24276.
862.32915
What is the difference between 0.02172 and 292218493?
292218492.97828
0+-0.064276373334
-0.064276373334
What is 19 - -15343.193957?
15362.193957
What is -575667.363034 - -3?
-575664.363034
What is -1069.31917475 minus 0.5?
-1069.81917475
Calculate 607551 + 15538100.
16145651
Work out 979552.3 + 0.0263379.
979552.3263379
Add together 22727.151 and -423649.
-400921.849
Calculate 21.5113 - 419850.
-419828.4887
What is 107549684444 take away -0.504?
107549684444.504
What is the difference between 1.407 and 890774765?
890774763.593
Add together -482777.878775 and -1.5.
-482779.378775
Subtract 3621961792.5 from 0.177.
-3621961792.323
What is -1.065 plus 503.574018208?
502.509018208
What is 3196.5 - -41446870?
41450066.5
Calculate -0.76 + -9857079974.
-9857079974.76
Sum 0.08 and -14685148691.
-14685148690.92
-105.604248209+-0.2
-105.804248209
What is the difference between -10395564 and -4487080?
5908484
-51598982025 + 6
-51598982019
What is the difference between 0.144 and -2027851481014?
2027851481014.144
What is 1069.30768021 minus 1608?
-538.69231979
What is 0.01 less than -61405968529?
-61405968529.01
What is -59853368060615 + -0.06?
-59853368060615.06
What is 44371778086910 take away 0?
44371778086910
1580512.22+-2961
1577551.22
161325080829 - -0.3
161325080829.3
What is -36700725261 - -495?
-36700724766
What is -343568141729356 plus 3?
-343568141729353
What is 9.271 - 994112554?
-994112544.729
What is the distance between -254.576 and -4.09889126?
250.47710874
0.4 - 4451741.0065
-4451740.6065
What is -0.02 less than -677544932.6128?
-677544932.5928
What is -0.386340357286 + -0.3?
-0.686340357286
Put together -4 and 393211412.24137.
393211408.24137
Total of 5338965 and 3.954531.
5338968.954531
Subtract 6.723 from 279993.44061.
279986.71761
Work out 26174 + 0.05384335.
26174.05384335
Work out -52767894807 + 83.
-52767894724
Work out -0.0258 - -5209824.4 | {
"pile_set_name": "DM Mathematics"
} |
+ g. Round a to three decimal places.
0.019
Let j = -19 + 19. Suppose -2*z - c + 119 = -0*c, 5*z - 5*c - 305 = j. Suppose 0*r + 4*r = z. Round r to the nearest integer.
15
Let g = 0.0507549 + -8.2711659. Let r = g - -8.22. Round r to five decimal places.
-0.00041
Let k = 326.43 + -3.43. Let h = 323.494 - k. What is h rounded to one dp?
0.5
Let z = 14790.99986919 + -14791. What is z rounded to six decimal places?
-0.000131
Let u(i) = -601*i + 13. Let j(a) = 12*a**2 + a + 2. Let y be j(-1). Let n be u(y). Round n to the nearest 1000.
-8000
Let w = -93136690.300207 + 93136648. Let j = -42.3 - w. What is j rounded to 5 decimal places?
0.00021
Let d = 24 - 22. Suppose d*h - 54 = 8*h. Round h to the nearest 10.
-10
Let k = -1.8 + 1.852. Let f = 267.9572 - 268. Let o = k + f. What is o rounded to three decimal places?
0.009
Let t = 797.999461 - 798. What is t rounded to five dps?
-0.00054
Let d = -5.17999653 + 5.18. Round d to seven decimal places.
0.0000035
Let c(h) = 973*h**2 + 38*h + 15. Let m be c(15). Suppose 2*u - 7*u = -5*o - m, -131704 = 3*o - 2*u. What is o rounded to the nearest one thousand?
-44000
Let c = -6165 + 11965. Round c to the nearest one thousand.
6000
Let l be (5 - 3)*(-85)/5. Let w = 36 + l. Suppose w*o = 134077 + 7923. Round o to the nearest 10000.
70000
Let b = -0.073 + -0.004. Let p = 0.037 - b. Round p to two dps.
0.11
Let a = 0.0235 - 0.023146. Round a to 4 dps.
0.0004
Let z be 2334/(-3) + (-2 - 0). Round z to the nearest 100.
-800
Let g = 527707369.000197 - 527707112. Let h = 257 - g. What is h rounded to 4 dps?
-0.0002
Let d = 0.0645 - 0.065238. Round d to five decimal places.
-0.00074
Let i = -5.4 + 4.46. Let q = i - -0.55. What is q rounded to 2 dps?
-0.39
Let j(z) = 12*z + 31. Let n be j(-8). What is n rounded to the nearest 100?
-100
Let i = -9 + 9. Suppose i = -0*w - 2*w + m - 16200002, 3*m - 32400006 = 4*w. What is w rounded to the nearest one million?
-8000000
Let t = -1126 + 1087.35. Let x = t + 40. What is x rounded to 1 dp?
1.4
Let b be (4/5)/(6/15). Suppose -5*n + 126750029 = -b*m, 0 = 2*n - 3*m - 36864739 - 13835277. Let s be n/15 + (-1)/3. Round s to the nearest 100000.
1700000
Let f = -12.115 + 16.37. Round f to zero dps.
4
Let x = -300.7 + 297.751. What is x rounded to 1 dp?
-2.9
Suppose 6 + 2 = 4*i. Let u(b) = -4 + 24 + 45*b**i + 112*b**2 - b + 10*b. Let g be u(20). Round g to the nearest 10000.
60000
Let b = -222 - -221.99695. Round b to 3 dps.
-0.003
Suppose -5*v + 13 = 4*p - 40, 3*v + 20 = 5*p. Let q(z) = z**2 - 22*z**2 - 1 + z - 6 - 79*z**2. Let i be q(p). Round i to the nearest 1000.
-5000
Let w = -32625.0804 + 32636. Let z = w - 10.9. What is z rounded to three dps?
0.02
Let b = 1751.428 - 1756. Round b to the nearest integer.
-5
Suppose 0 = -5*m + 10, 0 = -2*v + 3*v - 5*m - 151990. Suppose -n + 3*n = -v. What is n rounded to the nearest ten thousand?
-80000
Suppose -3*p = 2*p - 1235. Suppose 0 = 2*a - p - 6553. What is a rounded to the nearest one thousand?
3000
Let a(x) = -x**3 - 16*x**2 - 24*x - 9. Let o be a(-16). Let b = -533 + o. Round b to the nearest one hundred.
-200
Let y = 1320.9777 + 0.0223. Let c = -1322.299 + y. Let b = -1.3 - c. What is b rounded to 3 dps?
-0.001
Let b = 1105 - 1105.00001179. Round b to six dps.
-0.000012
Let k = -9.6 - -9.95. Let s = -0.9 - k. Round s to one dp.
-1.3
Let m = -6981 + 6929.39. What is m rounded to the nearest integer?
-52
Let v = 1538.75 - 2177. Let f = v + 663.54861. Let h = -25.3 + f. Round h to 4 decimal places.
-0.0014
Let n be -4*5/((-10)/(-8)). Let i be 4/n - 243/(-12). Let r be (-13120002)/(-8) - 5/i. Round r to the nearest one hundred thousand.
1600000
Let c(l) = l**3 + l**2 + l + 1. Let r(m) = -726*m**3 + 14*m**2 + 10*m + 12. Let n(k) = 12*c(k) - r(k). Let t be n(2). What is t rounded to the nearest 1000?
6000
Let l(s) be the first derivative of -s**4/4 - 2*s**3 - s**2/2 - 7*s + 1. Let y(k) = k - 5. Let o be y(-1). Let w be l(o). What is w rounded to 1 decimal place?
-1
Suppose -6 = -n - 3. Suppose -9 = -3*q + n. Suppose -122 = 2*d - q*d. Round d to the nearest 10.
60
Let s = -42.8 - -42.7991. Round s to 5 decimal places.
-0.0009
Let y = 1533.623 - 1536. Let u = -0.197 - y. Round u to one decimal place.
2.2
Let n = -870650 + 1484750. Round n to the nearest 10000.
610000
Let n = 3662 - 5802. Round n to the nearest 100.
-2100
Let b = 0.064 + -0.03463. What is b rounded to 2 dps?
0.03
Let s = 0.3 - 34.3. Let d = s + 33.9999961. What is d rounded to six decimal places?
-0.000004
Let l(w) = -w**2 + 5*w - 4. Let i be l(3). Let h(p) = -233*p**3 - 23*p - 116*p**3 + 21*p - p**2. Let x be h(i). What is x rounded to the nearest 1000?
-3000
Let h = 11.6476 - 11.7. What is h rounded to 2 decimal places?
-0.05
Let f = -1737.36 - -1759. Round f to the nearest ten.
20
Let f = 0.699 + -0.69897461. Round f to 6 decimal places.
0.000025
Let z = 1.6885 + -1.676. Round z to 2 decimal places.
0.01
Let i = -1931798916.00000048 - -1931798774. Let s = i - -142. Round s to 7 dps.
-0.0000005
Let y = -244930 + 168430. What is y rounded to the nearest ten thousand?
-80000
Let a = -1.92 + 95.92. Let y = 116.9 - a. Round y to the nearest integer.
23
Let n = -0.487 + 3.889. Round n to one decimal place.
3.4
Let t = 61 - 38. Let z = t + -18. Suppose q + 4*n = -3*q + 600, z*n = 10. Round q to the nearest ten.
150
Let y be -61*(9 + -250017 + 8). Round y to the nearest one million.
15000000
Let s = -25 - -32.5. Let p = -6 + s. Let r = -1.499955 + p. Round r to five dps.
0.00005
Let v = -306 + 306.2045. Let a = -0.01 + -0.19. Let g = a + v. Round g to three decimal places.
0.005
Let l be (-11)/((-825)/(-60)) + (-3181996)/5. What is l rounded to the nearest one hundred thousand?
-600000
Let b = 0.392 - 0.4. Round b to one dp.
0
Let p = 225.54 + -225. What is p rounded to one dp?
0.5
Let z = -129.3 - 27.7. Let c = 156.99999713 + z. Round c to seven dps.
-0.0000029
Let o = 8 - 7. Let b(a) = 32*a**3 - 2*a**2 + 1. Let q be b(o). Round q to the nearest ten.
30
Suppose -7662 = 3*f - 3*r, 0 = 3*r - 12 + 27. Let y = 7870 - f. Let u = 4429 - y. Round u to the nearest 10000.
-10000
Let k = 0.6558 + 260.8742. Let o = -261.25018 + k. Let v = -0.28 + o. Round v to four dps.
-0.0002
Let t = -11500 - -29500. Suppose -2*c - 3*n + 36000 = -n, c = -3*n + t. Round c to the nearest ten thousand.
20000
Let b = -5423 + 3213. Round b to the nearest 100.
-2200
Let x = 324.5692 + 0.5308. What is x rounded to the nearest one hundred?
300
Let s = -5506388 + 12686388. Round s to the nearest one million.
7000000
Let b = 2303464.48 + -2222124. Let l = b - 81359.479955. Let j = -19 - l. What is j rounded to 5 decimal places?
-0.00005
Suppose 265*w - 268*w - 2766000 = 0. Round w to the nearest one hundred thousand.
-900000
Let f = 3.8899461 - 3.89. Round f to 4 decimal places.
-0.0001
Suppose 5*f - 27 = 18. Let m be -1702*(f/3 - -46). Let p be m/(-6) + 6/18. What is p rounded to the nearest one thousand?
14000
Let w = 25 - 24.3. Let o = -48 - -46.65. Let x = o + w. Round x to one dp.
-0.7
Suppose 9*f - 1696000 = 11*f. What is f rounded to the nearest 100000?
-800000
Let t = 253.0064 - 253. What is t rounded to 1 decimal place?
0
Let v = 1583352 + -1583285.02952. Let i = 22.02522 + v. Let o = -89 + i. Round o to three decimal places.
-0.004
Let v = 13769 + -14599.3. What is v rounded to the nearest 10?
-830
Let p = -1362 - -1362.5444. Round p to 1 decimal place.
0.5
Let g = 191354.00364 - 191249. Let f = g - 105. What is f rounded to 4 dps?
0.0036
Let m = -1082029247393718.80000083 + 1082029242126764. Let q = m + 5266953.3. Let v = -1.5 - q. Round v to seven dps.
0.0000008
Let v = -6.8 - 2.4. Let u = -17.5 - v. What is u rounded to zero dps?
-8
Let d(f) = 112180*f**2 + 3. Let k be d(-2). Let b = k + -169723. Round b to the nearest 10000.
280000
Let s(j) = 2*j + 12. Let c be s(-6). Suppose h - 4*t = -c - 4, -t = -4*h + 14. Suppose -h*a - a = 0, -5*o - 1500 = 3*a. Round o to the nearest one hundred.
-300
Let o = -2.8 - 0.3. Let p = -3.10000075 - o. Round p to 7 decimal places.
-0.0000008
Let r = 106.26 - 109. Round r to 1 dp.
-2.7
Let k = -0.171261 + 0.1696. What is k rounded to 5 decimal places?
-0.00166
Let b = 10.24 - 16. Let h = b - -0.26. What is h rounded to the nearest integer?
-6
Let v = -2162405 - -21 | {
"pile_set_name": "DM Mathematics"
} |
False
Let f = 394 + 784. Is f a multiple of 9?
False
Does 21 divide (36*2/(-10))/(60/(-1400))?
True
Let v(h) = 7*h**2 + h**3 + 4*h - 13*h - 10 + 6. Let u(q) = 8*q**3 + 2*q**2 + 2*q + 1. Let i be u(-1). Is v(i) a multiple of 20?
False
Suppose 0 = 11*c - 8*c - 16911. Does 12 divide c?
False
Suppose 4*n + 45 = 3*r, n + 2*r - 46 = 5*n. Let k = 14 + n. Suppose -4*t + 0*m + 3*m = -24, 5*t - k*m = 30. Is t a multiple of 6?
True
Suppose 0 = 4*m, -5*m - 1010 = -3*t - 20. Suppose 0 = 4*f + 90 - t. Is f a multiple of 15?
True
Suppose n = -n - 2. Let h be (4 + 6)*1*3. Is ((-10)/4)/(n/h) a multiple of 15?
True
Suppose -6*h = 18 + 114. Does 10 divide (-2 - -1)*(h + -1)?
False
Is 18/24 - 754/(-8) a multiple of 25?
False
Suppose 0 = -4*a + 378 + 138. Let h = -69 + a. Is 22 a factor of h?
False
Let w(y) = -2*y**2 - 40*y + 2. Let g be w(-20). Suppose 4*s - 20 = 0, -g*b + 2*s - 93 + 411 = 0. Is 41 a factor of b?
True
Suppose -918 + 2154 = 3*f. Is f a multiple of 25?
False
Suppose 91 - 103 = -4*r. Suppose -2*b = r*b - 3*q - 295, 0 = 3*q + 15. Does 4 divide b?
True
Let g = -6 + 9. Let n be 176/24 - (2 - (-16)/(-6)). Let v = n + g. Is 11 a factor of v?
True
Let f be (126/(-35))/((-12)/200). Let t = 77 - f. Is 6 a factor of t?
False
Suppose -5*n - 9 = -2*b, -2*n = -4 - 2. Let y = b + -10. Does 11 divide (-26 + 4)*y/(-4)?
True
Suppose 5*s + 3 = q, -s + 4*s = -2*q + 6. Suppose 3*z = x - 21, s*x - 4*z - 105 = -5*x. Is x even?
False
Suppose -3*d + 1127 = 2*d + 2*s, -4*s - 470 = -2*d. Suppose 0*n + d = 2*x - 3*n, -2*x = n - 223. Does 27 divide x?
False
Suppose -n - 613 = -3*v, 31*n = -2*v + 26*n + 403. Does 9 divide v?
False
Does 5 divide 8/60 - 23840/(-75)?
False
Let x(u) be the third derivative of -7*u**4/24 - 8*u**3/3 - 4*u**2 - 3. Is x(-10) a multiple of 27?
True
Let o = 1013 + -602. Is 17 a factor of o?
False
Let k = -374 - -485. Does 37 divide k?
True
Let j(q) = -8*q**3 + q**2 + 3*q - 2. Let f(s) = -2*s - 6. Let x be f(-4). Let d be j(x). Let n = -21 - d. Is 12 a factor of n?
False
Suppose 0 = -2*m + m - 1, 4*j - 4*m + 48 = 0. Let c = -11 - j. Suppose 0 = 3*l - c - 19. Does 2 divide l?
False
Let r(i) = 118*i**2 + 5*i + 1. Does 57 divide r(-1)?
True
Let t(b) = 34*b - 52. Is 6 a factor of t(8)?
False
Let a be 168/(-14) - (1 + 3). Does 20 divide a/3*1296/(-64)?
False
Suppose -2*t - 2*q = -633 - 47, -2*q = 0. Does 5 divide t?
True
Suppose -4*y + 13 = 5*h, h - 2*h - 2*y - 1 = 0. Suppose c = 2*o + 8, 29 = 3*c - 4*o - h. Is c a multiple of 3?
True
Let n(f) be the first derivative of f**2 + 11*f + 5. Let u be n(-5). Is 15 a factor of u/3 - (-293)/3?
False
Is ((-288)/40)/(3 + (-47)/15) a multiple of 3?
True
Let k be (-95)/3 + (-1)/3. Let u = 37 + k. Is u a multiple of 5?
True
Suppose 5*a - q - 400 - 1043 = 0, -2*a + q = -579. Is 36 a factor of a?
True
Let h(s) = 6*s**2 - 10 + 27*s + 2 - 30*s. Is 25 a factor of h(-4)?
True
Let m(u) = 2*u**3 - 3*u**2 + 3*u + 1. Let p be m(2). Suppose -3*c + 27 = -a, -a - c - p = -0*c. Does 5 divide (-2 + a)/((-3)/6)?
False
Let n(l) be the second derivative of -l**5/20 - l**4/2 - 2*l**3/3 - 3*l**2 - 2*l. Let c be n(-6). Suppose 2*p + 6 - c = 0. Is 4 a factor of p?
False
Suppose -3*l - 5*z = -353, -10*l + 14*l - 4*z = 428. Is 2 a factor of l?
False
Let s be 1 - (7 - -2 - 0). Let g be s*(0 + 4)/(-16). Is 14 a factor of (g + 4)*24/6?
False
Let o(j) = 3*j**2 + 7*j + 3. Let w be o(-8). Suppose m = 4*s - w, -3*s + 89 = 2*m - 7. Is 8 a factor of s?
False
Let q(r) = r**3 - 38*r**2 + 70*r + 121. Does 22 divide q(37)?
True
Let v(m) = m**3 - 6*m**2 + 3*m - 7. Let y(w) = w**3 - 6*w**2 + 4*w - 7. Let u be 3/((-6)/(-16)*-2). Let r(s) = u*v(s) + 5*y(s). Is 5 a factor of r(5)?
False
Let f = -133 - -358. Is 15 a factor of f?
True
Let n be 4*(-2)/(-8)*-2. Let v(k) = -7*k - 11. Is v(n) a multiple of 2?
False
Let p = -91 + 70. Suppose -4*k - 3 = -2*g - 1, -3*k = -4*g + 4. Is g + (0 - p) - 1 a multiple of 7?
True
Let k(a) be the third derivative of 11*a**4/12 + a**3/6 + a**2. Let z = 12 - 10. Does 9 divide k(z)?
True
Suppose 0 = 7*y - 18*y - 110. Is 1*15 - (-30)/y a multiple of 4?
True
Let y = 563 - 156. Is y a multiple of 8?
False
Let j = -184 + 472. Is j a multiple of 48?
True
Let j(o) = 4*o**2 - 10*o - 8. Let y be j(-7). Suppose -25 = 3*q + 5*i - y, 4 = i. Is q a multiple of 17?
False
Let g = -118 - -79. Let h = g + 75. Suppose -4*v - 34 = -w, -w + 3*v = 2 - h. Is w a multiple of 15?
False
Let x(z) = 2*z**2 - 28*z + 63. Does 5 divide x(15)?
False
Let u(w) = 80*w**2 + 9*w - 13. Is u(2) a multiple of 13?
True
Suppose -2*o = -3*o - p + 1, -5*p - 23 = -2*o. Suppose -o*r = 3*r - 1071. Is r a multiple of 17?
True
Let h(s) = 2*s**2 + 5*s - 3. Let p be h(4). Let r be (14/2)/(12/9 - 1). Suppose -l = -p + r. Is 14 a factor of l?
True
Suppose 5*n = -v + 16, -5*v + v - 20 = -n. Suppose n*k = 12*k - 240. Does 6 divide k?
True
Suppose 1 = 5*q - 39. Suppose q*w = 13*w - 860. Suppose 5*l - l = w. Does 10 divide l?
False
Suppose -6*z = -18 + 6. Suppose 21 = y + z. Does 11 divide y?
False
Suppose -4*w = -0*w + 20, 4*w = 5*p + 10. Let f be 0*(-2)/p - -25. Is (30/f)/(2/70) a multiple of 14?
True
Is 172360/186*6/4 a multiple of 103?
False
Let t(g) = 8*g + 3. Let w be -1 - -5 - (-50)/10. Let s(q) = 16*q + 7. Let b(n) = w*t(n) - 4*s(n). Is b(5) a multiple of 15?
False
Is (1 - 2)*-70*(-437)/(-46) a multiple of 35?
True
Suppose 5*t - o = -385 - 373, -4*t = 5*o + 589. Let j = 29 - t. Does 4 divide (1/(-1))/((-12)/j)?
False
Let g(q) = 315 - 7*q - 630 + 28*q**2 + 0*q + 330. Is 13 a factor of g(2)?
False
Let i(m) = 2*m**3 + 16*m**2 + 5*m + 13. Let k be i(-7). Is 5 a factor of -1*(2 + k)*1/(-2)?
False
Suppose -r - 3*r = -240. Suppose -38 = 3*p + 5*h - 2, 5*h + r = -5*p. Let s(u) = -u**2 - 17*u - 9. Does 17 divide s(p)?
True
Suppose 2*n - 4*i - 695 = n, 3*n - 2*i - 2135 = 0. Suppose 3*b + 2*b - 5*k - n = 0, -b = k - 153. Is 37 a factor of b?
True
Let o be (9/(-6))/(5/(-10)*1). Let a(v) = 4*v - 4*v + 6*v. Does 6 divide a(o)?
True
Let r = -11 + 10. Let t = r - -100. Suppose -4*w + t = -w. Does 10 divide w?
False
Suppose -o - 4*o - 5*h = 165, 3*h - 66 = 2*o. Is 3 a factor of (-12)/66 - 996/o?
True
Let u = -21 - -12. Let g be (12/u)/((-2)/(-24)). Let z = g - -22. Does 6 divide z?
True
Let f be 1 + 0 + (-1 - -1). Suppose 5*g - b - 100 = 0, b - 100 = -6*g + g. Let d = g + f. Is d a multiple of 8?
False
Suppose 0 = 4*h - 6*h - 4. Is 26 a factor of h/6 - (-626)/6?
True
Suppose -4 = n - 3*x + 6, -3*n - 8 = 2*x. Let r(b) = -17*b**2 - b - 4. Let m(o) = 34*o**2 + 2*o + 9. Let d(u) = n*m(u) - 9*r(u). Is d(1) a multiple of 18?
True
Suppose -2*h + 6*h + 5*g = -145, 2*h + 4*g + 80 = 0. Let b = 111 + h. Suppose 42 + 95 = 5*z + 3*m, 3*z = -3*m + b. Is z a multiple of 18?
False
Let z(v) = -v**2 - 14*v - 23. Let c be z(-12). Let u be 4 - (1 + -1)*c. Suppose 9*o - 270 = u*o. Does 23 divide o?
False
Let n = 69 + -77. Let l(d) = -2*d**2 - 21*d + 5. Is l(n) a multiple of 15?
True
Suppose 2*d + 16 = 5*p, 5*p - 7 = -0*p - d. Suppose 0 = i - 5*u + 9, -35 = -2*i - p*u - 5. Is 3 a factor of i?
False
Let d(r) = -28*r + 13. Is 11 a factor of d(-3)?
False
Suppose -2*p - 6527 = -3*d, -1948 + 10666 = 4*d + 5*p. Is 36 a factor of d?
False
Let a(d) = -d**3 + 10*d**2 - d + 7. Let r be a(10). Is 948/(-24)*(r + 1) a multiple of 35?
False
Let b = 6 - -21. Is b a multiple of 9?
True
Let z = -15 + 17. Let y = 0 - z. Is 4 a factor of ((-8)/(-12))/(y/(-45))?
False
Let s = -258 + 303. Does 10 divide s?
False
Let m(o) = o**3 - 5*o**2 + 2*o - 10. Let k be m(5). Suppose x + v - 18 = k, 3*v + 6 = -3. Does 13 divide 2/6 + 1904/x?
True
Let r = 12 + -13. Let g be (-3 + (-2 - -2))*r. Suppose 54 = -2*l + g*l. Does 27 divide l?
True
Let b(t) = -t**3 + 33*t**2 + 22*t + 72. Is 48 a factor of b(18)?
True
Suppose -23*x - 20 = -28*x. Suppose -x*h + 432 = -0*h. Is 27 a factor of h?
True
Suppose 0 = 7*k - 5*k + 4*s - 1356, 2*k - 1396 = 4*s. Is k a multiple of 83?
False
Let s(f) = f - 1. Let p be s(-3). Let x be (-1 + -4)*(-5 - p). Is (255/25)/(1/x) a multiple of 17?
True
Suppose 344*g = 342*g + 524. Is 10 a factor of g?
False
Let c = -2902 - -6178. Does 12 divide c?
True
Suppose -5*w + 1652 = -t - 1814, -t - 694 = -w. Does 20 divide w?
False
Is (-3)/18 - (-29768)/48 a multiple of 41?
False
Suppose 0 = 9*i - 3*i - 2190. Let d = -155 + i. Is d a mul | {
"pile_set_name": "DM Mathematics"
} |
. Suppose -3*w + 19 + b = 0. Is w a multiple of 17?
True
Suppose 0 = -10*y + 2*y + 1512. Is 21 a factor of y?
True
Is 18 a factor of (-1278)/(6 + -7)*(-1 + 2)?
True
Suppose 0 = d - 19 + 8. Suppose 3*z + 2*z = -4*h + 56, -z - h = -d. Suppose 13 = 13*u - z*u. Is 8 a factor of u?
False
Suppose -12 = -4*k + 24. Suppose 12 = -4*d, 5*d = 4*m + 2*d - k. Suppose m = 2*l + 2 - 26. Does 2 divide l?
True
Let p(m) = 496*m - 43. Is 3 a factor of p(1)?
True
Suppose 77*j - 1310 = 67*j. Does 43 divide j?
False
Let l(v) = v**3 - 21*v**2 - 22*v + 36. Is l(22) a multiple of 6?
True
Suppose 0 = 2*u - 7*u. Suppose 5*i + 260 = -u*i. Is -1 - -1 - (i + -2) a multiple of 27?
True
Let s(h) = h + 1. Let a(l) = l**3 + 5*l**2 - 4*l + 1. Let y(w) = -a(w) - 6*s(w). Let t be y(-5). Let j = 37 - t. Is j a multiple of 13?
False
Let i(u) = 5*u + 25. Let r be i(-5). Suppose w - 1078 = -5*n, r = -n - 0*w + 4*w + 203. Does 13 divide n?
False
Suppose -30*v - 5*v = -12285. Is 9 a factor of v?
True
Let b(j) = 2*j**3 + 8*j**2 + 8*j. Let i(n) = -n**3 - 3*n**2 - 3*n. Let d(c) = -3*b(c) - 8*i(c). Let s be d(2). Let a = 43 + s. Is 23 a factor of a?
False
Suppose -59*j = -72*j + 21983. Is 15 a factor of j?
False
Suppose -t + 14 = -m, 5*t = 5 + 5. Let z = m + 47. Is 7 a factor of z?
True
Let s(p) = 146*p**2 + 10*p + 11. Is 24 a factor of s(-3)?
False
Let r = -26 + 31. Suppose 4*l - s - 704 = -r*s, -5*l - s = -872. Let d = l - 109. Is 13 a factor of d?
True
Let c(d) = 11*d**2 - 7*d - 6. Is c(7) a multiple of 11?
True
Let d be 6/4 + 1/(-2). Let w(i) = 46*i**2 + 1. Let s be w(d). Let h = 81 - s. Is h a multiple of 17?
True
Let x = 5 + 142. Let c = x - 93. Is 18 a factor of c?
True
Let t = -4861 - -10368. Does 100 divide t?
False
Let v = 70 + -68. Suppose -v*j - 176 = -4*j. Does 8 divide j?
True
Let w(t) = -3*t + 9. Suppose u = -5*r + 29 + 8, 2*u - 3*r = 9. Let x be w(u). Let k = 18 - x. Does 15 divide k?
True
Let h(c) be the first derivative of 3*c + 1/3*c**3 + c**2 + 4. Does 11 divide h(7)?
True
Let o = 57 + 141. Does 13 divide o?
False
Suppose -3*f = 3, 5*f + 7 + 89 = p. Is 6 a factor of p?
False
Let c(v) = v**3 - v + 3. Let w(s) = 4*s**3 + s**2 - 5*s + 12. Let h(m) = 9*c(m) - 2*w(m). Is h(4) a multiple of 8?
False
Let f(o) = 169*o**2 - 3*o + 2. Let p be 1 - (-18)/(-15) - (-6)/5. Is f(p) a multiple of 28?
True
Let f(g) = 17*g - 32. Let j be f(-4). Let t = 174 + j. Does 13 divide t?
False
Let q(m) = 40*m**2 + m. Let o be q(1). Let s be 672/(-35) - 8/10. Let z = o - s. Does 16 divide z?
False
Suppose -g - 4*h - 9 - 2 = 0, 4*g - 40 = 5*h. Suppose g*x - 484 = -169. Is x a multiple of 9?
True
Let h be -2 + 1120/5 - -2. Is 10 a factor of 1 + 3 + h/4?
True
Let f = 13 + -9. Suppose -k - 5*y + 5 = 4*k, y = f*k + 1. Suppose -p = -k - 4. Does 4 divide p?
True
Suppose 5*y - y + 483 = j, 0 = 2*j - y - 980. Suppose 0 = -3*b + o - 3*o + 370, 4*b - j = -5*o. Is b a multiple of 10?
False
Suppose 2*k = -0*k + 4. Suppose m + 2*m + k*s = 16, -5*m + 3*s = 5. Suppose -6*p + 2*p = -3*d - 116, -m*p - d = -68. Is p a multiple of 10?
False
Let l(z) = 12*z**3 - z**2 - 7*z + 21. Is l(6) a multiple of 13?
True
Is 13 a factor of (-6)/(-27) + (9482/18)/1?
False
Let z = 124 + -109. Is z a multiple of 15?
True
Suppose -96 = 2*t - 278. Let k = 247 - t. Suppose -k + 408 = 6*b. Does 9 divide b?
False
Let k(b) = -1. Let f(s) = s + 1. Let o(u) = -6*f(u) - 13*k(u). Let x = 0 + -7. Does 13 divide o(x)?
False
Suppose 3*z - 16 - 8 = 0. Suppose 7*g - 5*k + 44 = z*g, 4*g + 2*k - 212 = 0. Is g a multiple of 27?
True
Suppose -25*d + 22222 - 1097 = 0. Does 13 divide d?
True
Suppose -7852 = -4*k - 3*n, 3*k - 2*n - 2393 - 3496 = 0. Does 13 divide k?
True
Suppose 5*x = 7 + 8. Suppose -547 - 29 = -x*w. Is 12 a factor of w?
True
Let w(h) = -8*h**2 + 5*h - 4. Let j(d) = 7*d**2 - 5*d + 3. Let b(z) = -6*j(z) - 5*w(z). Let t be b(-3). Let x = t - -53. Is x a multiple of 8?
False
Suppose u + 0*u - 340 = 0. Does 28 divide u?
False
Let a(d) = -d**3 - 17*d**2 + 18*d + 2. Let r be a(-18). Let f(v) = 14*v**3 + v**2 + 3*v - 5. Does 39 divide f(r)?
True
Suppose 175*t - 190*t = -5340. Does 14 divide t?
False
Let x = 4472 + -2238. Is 14 a factor of x?
False
Let q = 12 - 2. Suppose 84 = q*h - 6*h. Is h a multiple of 12?
False
Suppose -n + 2 = 2*p, 3*n - 5*p + 33 = 2*n. Is n - -5 - -14*6 a multiple of 27?
True
Suppose -z = -2*u + 12, 4*z - 13 + 1 = -4*u. Suppose 0 = -u*d + 81 + 4. Does 10 divide d?
False
Suppose -m + 3*m - 2*b - 10 = 0, -4*m + b = -17. Is 8 a factor of m/6 + ((-1840)/6)/(-5)?
False
Let r(k) = -3*k + 20. Let c be r(6). Suppose -2*m = -5*o - 49, c*m + o - 59 + 4 = 0. Is 27 a factor of m?
True
Let c be (-183 - 3) + (-16)/(3 + -7). Let b = c + 452. Does 45 divide b?
True
Suppose 0 = 2*a - 11 + 65. Let g = a + 27. Does 17 divide 237/3 - (-2 - g)?
False
Suppose -y + 311 = 5*v + y, 4*v = 2*y + 256. Suppose 5*t + v + 122 = 0. Let d = t - -67. Is 30 a factor of d?
True
Suppose 2*s - 8 = -0*s. Suppose c + w = -4*c + 246, -5*c + 266 = -s*w. Let b = -34 + c. Is 7 a factor of b?
False
Suppose -3*g - 276 + 531 = 0. Is g a multiple of 2?
False
Suppose l + 3*o - 6 = -4*l, o = 5*l + 2. Suppose l = 9*q - 10*q + 5. Suppose q*s - 13 = 22. Is s a multiple of 3?
False
Let r = -59 - -67. Suppose -b + r = -49. Is 11 a factor of b?
False
Let j(h) = -2*h - 23. Let p be j(-10). Is -20*(p + 7/(-2)) a multiple of 26?
True
Let s = 1314 + -862. Does 31 divide s?
False
Let h = -40 - -46. Let n(l) = 3*l**2 - 9*l. Does 22 divide n(h)?
False
Let q(f) = 5*f - 18. Let v(r) = 2*r. Let b(t) = q(t) + v(t). Suppose 0 = i - 4 - 2. Is b(i) a multiple of 8?
True
Suppose 0 + 2 = y. Let g = 11 - -21. Suppose y*n = n + g. Is 11 a factor of n?
False
Let o(n) = n**2 - 17*n + 11. Let j(g) = 3*g + 0*g - 3 + 1. Let s(w) = 34*j(w) + 6*o(w). Is s(-2) a multiple of 17?
False
Suppose 261 - 12 = -3*u. Let j = 122 + u. Does 8 divide j?
False
Let y = 109 - -281. Is y a multiple of 12?
False
Let z = 1001 - 891. Is z a multiple of 10?
True
Let n = 16 - 12. Does 24 divide (138/3 - 2) + n?
True
Suppose -8 = -2*n - 0. Let b be (16/40 + (-6)/15)/(-2). Suppose -n*w + 96 = -b*w. Does 5 divide w?
False
Suppose -11 = 3*s + 85. Let b be -9*(2 + s/12). Suppose b*k - 226 = 4*k. Is 31 a factor of k?
False
Let b(p) = 8*p**2 + 15*p - 4. Is b(-7) a multiple of 22?
False
Let a = -5 - -5. Let v = a - -2. Suppose j + v*u = 20, -j - j + 4*u = -32. Is j a multiple of 6?
True
Let q = -200 + 104. Let m = 175 + q. Does 5 divide m?
False
Let h be 1/(2/6) - -88. Let b be 130/4 + 1/(-2). Suppose -2*x + 5*s + h = 0, x = -s - s + b. Is 11 a factor of x?
False
Suppose -13*b + 14 = -12*b. Suppose b = 3*x - 10. Suppose 0 = -r + 33 - x. Is r a multiple of 12?
False
Let v(h) = -h**3 + 9*h**2 + 5*h + 7. Let x be v(9). Let f(m) = x + 10*m**2 - 14*m**2 + 5*m**2. Is 13 a factor of f(0)?
True
Let u = 28 - 14. Suppose u = 2*m - 10. Let f(h) = h + 4. Is f(m) a multiple of 8?
True
Suppose -5*r - 74 = -3*k, 2*r = 5*k - k - 122. Does 12 divide k + 0/(-2) + 3?
True
Suppose 3*s - 749 = -2*q, -6*q = -s - 7*q + 251. Is s a multiple of 13?
True
Let s(x) be the first derivative of x**5/30 + x**4/8 - 2*x**3/3 + x**2 + 4. Let g(z) be the second derivative of s(z). Is 4 a factor of g(-3)?
False
Let p(a) = -a**2 - 8*a - 32. Let d be p(-4). Let u be (-3)/((-6)/4) + 28. Let l = d + u. Does 11 divide l?
False
Suppose -5*c = 2*x - 35, 11 = c + x + 1. Does 29 divide ((-1)/((-3)/(-186)))/((-2)/c)?
False
Let l(p) be the third derivative of -13/24*p**4 - 13/60*p**5 - 3*p**2 - 1/120*p**6 - 1/2*p**3 + 0 + 0*p. Is 3 a factor of l(-12)?
True
Let z(g) = g**2 + 10*g + 8. Let w be z(-8). Let r be (5 - 3)/(w/(-12)). Suppose 117 = r*v + 3*x, x - 203 = -0*v - 5*v. Is 7 a factor of v?
False
Let n(m) = 4*m**3 + 2*m**2 + 4. Let c(u) = 16*u**3 + 7*u**2 + 15. Let t(k) = 6*c(k) - 22*n(k). Let z be t(2). Let d = -21 + z. Is 7 a factor of d?
False
Suppose 12*d - 5 = 11*d. Suppose -b + 5*v + 101 = 0, 2*v = 4*b + d*v - 289. Is 18 a factor of b?
False
Let t be -8 - -9 - (-1 + -214). Is ((t/10)/(-9))/((-1)/100) a multiple of 32?
False
Let q = 107 - -363. Is 29 a factor of q?
False
Is 31 a factor of 54/(-16) + 3 + 4374/16?
False
Suppose -t - 5172 = -4*o + 3*t, 5*t + 1297 = o. Does 26 divide o?
False
Suppose h = -0*h + 3. Suppose -m - 1 = h, -w = -3*m - 9. Is 10 a factor of 33 - | {
"pile_set_name": "DM Mathematics"
} |
(s)).
358674*s
Let o(b) = 48*b. Let d(a) = 4898*a**2. What is o(d(f))?
235104*f**2
Let i(u) = 7*u + 5. Let g(d) = -3*d - 2. Let o(t) = 15*g(t) + 6*i(t). Let q(n) = 5*n. Give q(o(l)).
-15*l
Let z(y) = 2*y. Let s(b) = 201*b + 179*b + 81 + 6*b - 81. Determine z(s(f)).
772*f
Let t(p) = 5*p - 7. Let i(c) = -c**2 - 1. Let h(z) = 4*z**2 + 3. Let w(a) = 2*h(a) + 6*i(a). Calculate t(w(y)).
10*y**2 - 7
Let g(o) = 2*o**2 + 3925*o - 2. Let f(j) = -14*j. What is f(g(s))?
-28*s**2 - 54950*s + 28
Let x(c) = 43495*c**2. Let n(s) = -3*s**2. What is n(x(v))?
-5675445075*v**4
Let n(w) = -w. Let u(v) = -15*v**2 + 17*v + 309. What is u(n(j))?
-15*j**2 - 17*j + 309
Let i(w) = 38*w. Suppose 3*m + 1277 = 5*z, -3*z + 370 = -4*m - 405. Let j(g) = -253 + z + 2*g. What is i(j(f))?
76*f
Let i(x) = 3*x. Let y(o) = -266*o - 4. Calculate i(y(h)).
-798*h - 12
Let w(k) = -16*k. Let h be (-2 + 2)/((-6)/6). Let y(d) be the first derivative of h*d - 1/2*d**2 - 2. Determine w(y(a)).
16*a
Let k(v) = 117*v**2 + 9*v. Let g(h) = 59*h**2 + 5*h. Let m(t) = -9*g(t) + 5*k(t). Let q(l) = -5*l**2. What is q(m(j))?
-14580*j**4
Let a(f) = -f - 51. Let g(r) = 56*r**2 - 9*r. What is g(a(l))?
56*l**2 + 5721*l + 146115
Let x(k) = 2*k**2. Let i(b) be the second derivative of 12*b**2 + 0 + 1/6*b**4 + 0*b**3 - 11*b. What is i(x(h))?
8*h**4 + 24
Let v(u) = 2459*u**2. Let s(h) = 150*h. Determine s(v(k)).
368850*k**2
Let j(v) = 22309 - 22309 - 22*v. Let o(x) = 4*x. Give o(j(t)).
-88*t
Let i(l) = 52*l**2 - 6*l - 8. Let d(h) = -156*h**2 + 17*h + 23. Let v(y) = -6*d(y) - 17*i(y). Let j(a) = a**2. Calculate v(j(k)).
52*k**4 - 2
Let d(v) = -3*v**2 + 15. Let y(b) = -1444*b**2. What is d(y(a))?
-6255408*a**4 + 15
Let f(k) = -10151 + 10151 - k. Let n(i) = -45*i. Calculate n(f(b)).
45*b
Let j(c) = 3*c. Let l(v) = 2*v. Let x(q) = -q + 14. Let r be x(10). Let b(s) = r*j(s) - 5*l(s). Let z(g) = -17*g. Determine b(z(d)).
-34*d
Let s(u) = -3*u. Let j(k) = 701106*k. Calculate j(s(x)).
-2103318*x
Let d(j) = j + 38884. Let k(q) = -q. Determine d(k(f)).
-f + 38884
Let z(g) = -10*g**2. Let x(s) be the first derivative of -4*s**3 + 101. Determine z(x(v)).
-1440*v**4
Let f(b) = b**2. Let y(q) = -32859*q - 42. Give y(f(m)).
-32859*m**2 - 42
Let z = 8 - 12. Let s(t) = -t**2 + 2*t. Let r(p) = 5*p**2 - 11*p. Let h(w) = z*r(w) - 22*s(w). Let v(n) = 3*n**2 + 7*n**2 - 6*n**2 + 8*n**2. Determine v(h(f)).
48*f**4
Let r(j) be the first derivative of 7*j**3/3 + 5*j**2/2 - 3*j - 10. Let h be r(3). Let w(b) = -8*b**2 + 75 - h. Let g(m) = 2*m. What is g(w(u))?
-16*u**2
Let r(h) = -2*h. Let t = 27 + -57. Let n be 18/t - (-84)/15. Let u(f) = -n*f**2 + 0 + 0 + 21*f**2. Determine u(r(j)).
64*j**2
Let q(g) = -8 + 10 - 2 + g**2. Let h(y) = -5*y**2 - 13*y + 13*y. Give q(h(s)).
25*s**4
Let x(u) = u. Let w(h) = 0 + 0 + 246*h - 238*h. Calculate w(x(n)).
8*n
Let x(b) = -29*b. Let y(s) = -3*s - 4. Let u(a) = 12*a + 18. Let k(j) = -4*u(j) - 18*y(j). Determine x(k(f)).
-174*f
Let p(d) be the first derivative of -2*d**3/3 - 2. Let m(s) = -24*s**2 - 4*s**2 + 25*s**2. What is m(p(g))?
-12*g**4
Suppose -99 = -19*p - 14*p. Let x(d) be the second derivative of 0*d**p + 0*d**2 + 4*d + 0 - 1/12*d**4. Let b(m) = -6*m**2. Give b(x(k)).
-6*k**4
Let b(k) = 11*k**2 - 149*k. Let c(s) = 5*s. Give b(c(t)).
275*t**2 - 745*t
Let m(n) = 30*n - 8. Let l(i) = 3*i. Determine m(l(s)).
90*s - 8
Let k(s) = 8*s + 17. Let y(g) = -95*g**2. Give y(k(n)).
-6080*n**2 - 25840*n - 27455
Let f be (0 - 3/2)/((-6)/8). Let v(q) = 30*q - 66*q + 36*q + 10*q**f. Let u(d) = -11*d - 8. Let t(y) = 4*y + 3. Let w(a) = 8*t(a) + 3*u(a). Give v(w(j)).
10*j**2
Let i(u) = -7*u**2. Let w(j) = -3*j. Let h(v) be the first derivative of 2*v**2 + 16. Let n(m) = 5*h(m) + 7*w(m). What is n(i(g))?
7*g**2
Let w(r) = 3*r**2. Let v(y) = 323200*y. Give v(w(z)).
969600*z**2
Let l(s) = 13*s**2 + 9*s. Let y(v) = 3*v**2 + 2*v. Let r(c) = c**2 - c + 2. Let a be r(2). Let t(q) = a*l(q) - 18*y(q). Let o(p) = -7*p**2. Calculate o(t(g)).
-28*g**4
Let h(g) = 22368*g**2 + 8*g + 1. Let z(k) = k. Calculate z(h(q)).
22368*q**2 + 8*q + 1
Let t(z) = -5*z + 273. Let f(q) = -487*q. Give f(t(k)).
2435*k - 132951
Let c(a) = -7*a + 6. Let v(u) = -u + 1. Let n(q) = c(q) - 6*v(q). Let p(y) be the first derivative of 2*y**3/3 - 702. Give n(p(f)).
-2*f**2
Let k(b) = -4*b - 1. Let t(w) = -w + 6. Let c(p) = 10*p - 54. Let n(a) = -2*c(a) - 18*t(a). Determine k(n(o)).
8*o - 1
Let n(d) = 2*d**2. Suppose 12 = -4*r + 2*r. Let l(s) = 6*s + 1503 + s**2 - 1503. Let k(j) = j**2 + 5*j. Let i(h) = r*k(h) + 5*l(h). Determine n(i(m)).
2*m**4
Let b(m) = -2*m + 6. Let q(r) = r - 59. Give b(q(u)).
-2*u + 124
Suppose k + 3*k = 36. Let o(w) = -3*w + 23*w - 9*w - k*w. Let s(r) = 2*r**2 - 3*r**2 + 2*r**2. What is s(o(m))?
4*m**2
Let n(u) = -u**2 + 2*u - 2. Let a(v) = v**2 - 3*v + 3. Let h(k) = -4*a(k) - 6*n(k). Let q(p) = -43*p - 58*p + 57*p. Calculate h(q(c)).
3872*c**2
Let l(g) = -14*g**2. Let i(j) be the third derivative of 0 + 0*j**3 - 21*j**2 + 1/6*j**4 + 0*j. Give l(i(a)).
-224*a**2
Let o(t) = -6*t - 6. Let f(q) = -8*q**2 - 68*q + 34. Let x(c) = 3*c**2 + 24*c - 12. Let b(h) = -6*f(h) - 17*x(h). Determine b(o(s)).
-108*s**2 - 216*s - 108
Let s(o) = -2*o. Let u(m) be the second derivative of -17*m**4/4 - 7*m**2/2 + 3*m + 64. Calculate u(s(t)).
-204*t**2 - 7
Let n(c) = 10*c**2 + 2*c - 4. Let t be n(2). Let r(z) = 13*z + 0 - t*z + 0. Let i(k) = -2*k**2. Determine r(i(q)).
54*q**2
Let d(h) = -356032*h. Let z(k) = k**2. What is z(d(n))?
126758785024*n**2
Let f(c) = 3*c**2. Let d(v) = 222*v - 73*v - 15 - 76*v - 74*v. What is d(f(t))?
-3*t**2 - 15
Let g(n) = -n. Suppose -4*m + 73 = 3*z, 1 - 3 = 2*z. Let u(a) be the first derivative of m + 0*a**2 + 2*a**2 - 21. Calculate u(g(k)).
-4*k
Let r(k) = 4*k. Let b(i) be the first derivative of 25*i**2/2 + 45. Give r(b(j)).
100*j
Let v(q) = -q**2 + 11*q - 11. Let t = 43 + -32. Let x(d) = d**2 - 6*d + 6. Let r(n) = t*x(n) + 6*v(n). Let z(s) = 7*s**2. Give z(r(b)).
175*b**4
Let f(n) = 4*n. Let z(m) = 4*m**2 + 3. Suppose 4*r - 10 - 2 = 0. Suppose -a = 4 - 12. Let x(g) = -11*g**2 - 8. Let q(p) = a*z(p) + r*x(p). Give q(f(d)).
-16*d**2
Let r be (6/4)/(42/(-28))*-2. Suppose -4*k = 2*c - 36, -4 = -4*k + 4*c + 8. Let t(l) = 3*l**2 + k*l**2 - 7*l**r. Let y(h) = -2*h**2. Give t(y(x)).
12*x**4
Let d(g) = -87*g - 23*g - 144*g. Let w(p) = -2*p. Calculate w(d(i)).
508*i
Let i(n) = -n**2. Let u(j) = 6493635*j. What is u(i(a))?
-6493635*a**2
Let b(g) be the first derivative of 9*g**2 - 14 + 0 - 19*g**2. Let m(w) = 2*w. Determine m(b(h)).
-40*h
Let p(c) = -6*c**2 - 3*c. Let z(l) = 11*l**2 + 7*l. Let b(a) = -14*p(a) - 6*z(a). Let y(i) = -4*i**2. Determine y(b(o)).
-1296*o**4
Let p(l) = 42*l**2 + 10*l. Let q(v) = 2*v. What is p(q(d))?
168*d**2 + 20*d
Let z(f) be the third derivative of -f**4/6 - 51*f**2 + 5*f + 2. Let o(l) = -1. Let g(w) = w - 1. Let a(y) = -3*g(y) + 3*o(y). Determine a(z(j)).
12*j
Suppose 5*f - 21 = 3*t - 0*t, -3*f = -4*t - 6. Let j(m) = f*m + 2*m - 16*m. Let w(i) = -i. Determine w(j(v)).
8*v
Let h be 4*1 + -4 + 5. Suppose 0 = -3*w + x + h, 0 = -5*w - 0*x - 3*x - 15. Let q(n) = 3*n**2 - n**2 - 4*n**2 + w*n**2. Let t(j) = -2*j**2. What is q(t(c))?
-8*c**4
Suppose 27*y = -183 + 264. Let k(x) be the third derivative of 0*x - 11*x**2 + 0*x**4 - 1/3*x**5 + 0*x**y + 0. Let f(v) = -2*v. Calculate k(f(j)).
-80*j**2
Let v(x) = -2*x. Let t(c) = 2741*c - 54. What is t(v(w))?
-5482*w - 54
Let z(t) be the third derivative of -t**5/30 - t**2. Let b(v) be the second derivative of 9*v**4/2 + 1819*v. Give z(b(r)).
-5832*r**4
Let j(r) = -2*r. Let o(v) be the third derivative of v**5/60 - 43*v**3/6 + 7*v**2 + 3*v. Give o(j(w)).
4*w**2 - 43
Let m(i) = 2*i**2. Let q(a) = -a**3 + 4*a**2 + a + 2. Let c be q(4). Let k(p) = c*p - p - 4*p. Let v(f) = f. Let y(u) = -k(u) - v(u). What is m(y(g))?
8*g**2
Let i(l) be the third derivative of 0 - 9*l**2 + 0*l**3 + 1/24*l**4 + 0*l. Let m(c) = 4*c**2 - 7*c**2 + c**2. Calculate i(m(x)).
-2*x**2
Let s(n) be the third derivative of -n**2 + n**3 + 0 + 0*n - 1/24*n**5 + 0*n**4. Let a(r) be the first derivative of s(r). Let y(i) = -i. Calculate y(a(k)).
5*k
Let m(n) = 105*n. Let s(y) = 7*y. Let u(w) = -6*m(w) + 91*s(w). Let h(x) = -5*x. Calculate h(u(c)).
-35*c
Let w(i) = i**2 + i - 9175. Let m(d) = -6* | {
"pile_set_name": "DM Mathematics"
} |
5 times 0.3?
-132094.5
-21191 * -0.7
14833.7
Work out -1797.067 * 0.5.
-898.5335
What is the product of 150 and 2.24?
336
-0.159 * 0.1358
-0.0215922
Calculate -1.3868*0.06.
-0.083208
Multiply -4 and 0.4687.
-1.8748
Calculate 298.8*-13.
-3884.4
155296*-5
-776480
What is the product of -11587 and -11?
127457
Calculate -4750.95*-6.
28505.7
Product of 509 and -7972.
-4057748
Work out -2.04 * -0.158.
0.32232
Product of -51.04 and -51.
2603.04
What is the product of -19004 and -0.4?
7601.6
What is -25257 times -22?
555654
Calculate -0.2005*-0.02.
0.00401
What is the product of -245.99 and -0.07?
17.2193
-2.2 * -0.8899
1.95778
-197.34*1
-197.34
What is the product of -0.6 and -30?
18
0.05*-4104
-205.2
Product of -14 and -0.4053.
5.6742
-172209.6 * 4
-688838.4
Work out -0.07705 * 0.1.
-0.007705
What is -16.13183 times 0.5?
-8.065915
What is the product of -15583.3 and -0.4?
6233.32
Multiply 102 and -0.07109.
-7.25118
Calculate 1*179112.
179112
Multiply 0 and 1362373.
0
Multiply 1.61 and -0.68.
-1.0948
What is -1132585 times 2?
-2265170
-0.72*-1.497
1.07784
32.03 times 61
1953.83
What is 5 times 201?
1005
What is the product of 192 and 1245?
239040
Multiply 72.672 and -1.
-72.672
Calculate 0.4*17.715.
7.086
What is 0.3 times -12.5389?
-3.76167
0.3*-9711
-2913.3
What is -0.104432 times 5?
-0.52216
Work out 0 * -5292.
0
What is -1637 times -0.101?
165.337
-1097.385*-3
3292.155
What is the product of -479928 and 0.1?
-47992.8
What is 21 times 819?
17199
Multiply 12 and -1.206.
-14.472
What is the product of 0.06332 and 0.04?
0.0025328
-41 * 135.52
-5556.32
-1037 times 5.9
-6118.3
-0.02 times 13151
-263.02
0.1291 * 0.26
0.033566
Product of 4260 and -0.626.
-2666.76
Product of -3010309 and 0.1.
-301030.9
-14245 times 0.018
-256.41
0.18799 * 0.09
0.0169191
What is the product of 37 and -4.0666?
-150.4642
Multiply -4.52 and 103.
-465.56
-219.6*-0.56
122.976
21*4126
86646
Product of -3476 and -0.3.
1042.8
What is the product of -117 and 10198?
-1193166
Multiply 843763 and -1.
-843763
-346150 * 1
-346150
What is -0.109 times 0.16594?
-0.01808746
Work out 2000 * 0.16.
320
Calculate -3.0747*16.
-49.1952
What is the product of -16 and 3511?
-56176
-13676.86 times -4
54707.44
-8733 * -10
87330
Multiply -0.1 and 111303.
-11130.3
Work out 342220.8 * 0.
0
41 * 0.2836
11.6276
Calculate -2281*-32.
72992
Calculate 303*-0.004.
-1.212
-190631 times -18
3431358
Multiply 5 and -39775.
-198875
What is the product of 71 and -21673?
-1538783
Calculate -1452.35*1.
-1452.35
Work out 2 * -1.6534.
-3.3068
-173.11*0.2
-34.622
Product of -5 and -10.80956.
54.0478
What is the product of -98.5 and 263?
-25905.5
What is the product of -2 and -25540?
51080
What is the product of -50243 and 3?
-150729
What is the product of -290 and 0.54?
-156.6
Calculate -0.12*-6274.
752.88
Calculate 181.411*-0.4.
-72.5644
Work out -4.1 * 11369.
-46612.9
Multiply -0.16 and 2805.
-448.8
Product of -0.07511 and -0.126.
0.00946386
Calculate -8667*-4.
34668
4 times 1852
7408
-34.061 * -2
68.122
0.05195*-199
-10.33805
Work out -5 * -199950.
999750
-0.4 times -0.0180613
0.00722452
Work out 27.72 * -49.
-1358.28
2*-6664.7
-13329.4
What is 0.082 times 0.037?
0.003034
Product of 0.04674 and 2.
0.09348
What is 2 times 11823.4?
23646.8
What is -0.71 times 3209?
-2278.39
4633 * 73
338209
-5.32267 * 3
-15.96801
-0.46 times -3.39
1.5594
42970*0.2
8594
Multiply -1802 and 87.7.
-158035.4
-2.85 * 811
-2311.35
Product of 0.2167 and 0.28.
0.060676
21.308*0.027
0.575316
What is the product of 940.13 and -1.9?
-1786.247
Product of 38 and 9488.
360544
What is the product of -0.329 and 20.21?
-6.64909
What is 3 times -118.2768?
-354.8304
-171753 times 1
-171753
Multiply -0.2 and 1191.92.
-238.384
Product of -5 and 0.0042659.
-0.0213295
Calculate -67*-1589.
106463
-0.5 times -0.05466
0.02733
Calculate -0.3*-0.593825.
0.1781475
What is 0.4 times 11173?
4469.2
What is the product of 0.3 and 79.67?
23.901
6534 times 24
156816
Product of -28056 and -7.
196392
Product of 49 and -0.5066.
-24.8234
-0.5 * 0.059209
-0.0296045
What is 0.0078 times -56?
-0.4368
Multiply 50.4634 and -0.5.
-25.2317
What is 874 times -1.3?
-1136.2
What is -34.61403 times -0.5?
17.307015
Product of -0.3 and -5435.1.
1630.53
What is the product of -58 and -1027?
59566
6.34 * 2146
13605.64
What is -144167 times 4?
-576668
What is the product of 401.2 and 0.027?
10.8324
What is the product of -27.876 and -20?
557.52
What is 3.4324 times -1.4?
-4.80536
-59875.7 * 0.5
-29937.85
Work out -1927.16 * -1.
1927.16
Multiply 0.065 and 0.06584.
0.0042796
Multiply 11.59496 and 8.
92.75968
Product of -0.2 and -0.048164.
0.0096328
What is the product of 0.5 and 12.823?
6.4115
-1*5806
-5806
Calculate 18.478*3.
55.434
Work out -2 * 68904.7.
-137809.4
What is the product of -7.03 and -217?
1525.51
What is the product of -0.2 and -5930.6?
1186.12
11772.9 * 0
0
What is the product of 20.41 and 106?
2163.46
-1489 times -18
26802
What is the product of 1053 and 20.2?
21270.6
2 times -0.9811
-1.9622
47*-177
-8319
1803 times 140
252420
-1.26 * 1651
-2080.26
Multiply -0.4 and -2880.3.
1152.12
Multiply 22 and -8181.
-179982
What is the product of 1745.8 and -18?
-31424.4
-8 times 549310
-4394480
945 * -2025
-1913625
3*13473
40419
Work out -19371 * 39.
-755469
0.2 * -12031
-2406.2
Product of 26 and -0.82.
-21.32
Work out 0.062 * -2.093.
-0.129766
-9.9 * -1.1
10.89
Work out -5245 * 124.
-650380
5 times -17.8776
-89.388
-38*-25.863
982.794
Calculate 4.59*21.
96.39
2.2459*111
249.2949
0.1 * 0.13138
0.013138
-4 * -27239
108956
Work out -850798 * -2.
1701596
What is 58 times 8555?
496190
Multiply 0.07 and -0.68041.
-0.0476287
-2872240 times -0.5
1436120
Work out -281 * -1756.
493436
What is the product of -4 and -19.16?
76.64
-1.9*-10170
19323
4 * -1145.9
-4583.6
What is the product of 2.6 and 1514?
3936.4
Calculate -0.2*-81524.
16304.8
What is the product of 286240 and 3?
858720
Product of -11 and 14952.
-164472
Product of -121.0144 and -1.
121.0144
What is the product of -1144 and -2.26?
2585.44
5151*-29
-149379
Multiply 660 and 2.61.
1722.6
What is the product of 0.0463 and 1440?
66.672
What is -0.5 times 0.3056?
-0.1528
What is the product of 919 and 0.5?
459.5
What is 0.3 times 832?
249.6
226 * -0.141
-31.866
Work out -2.69 * 332.
-893.08
0.169804 * 2
0.339608
What is 0.1 times 1416.3?
141.63
0.04*12892
515.68
664.7*0.2
132.94
Product of -7412 and 0.03.
-222.36
Calculate 5*9723.
48615
Product of -0.4 and 3432.
-1372.8
Calculate 903794*1.
903794
Calculate 10168*-0.157.
-1596.376
Work out -0.055 * -0.86.
0.0473
0.06 * -230232
-13813.92
-65.32*-7
457.24
Work out -93655 * -16.
1498480
0.056 times -1.23
-0.06888
What is the product of -0.1 and -669174?
66917.4
0.6 * -5957
-3574.2
-89*313
-27857
0*-23390
0
-1.17*-721
843.57
-808455 * 0.3
-242536.5
Calculate -0.0704*2.
-0.1408
-598 * -10
5980
3.61 times -11371
-41049.31
What is the product of 167 and -2.056?
-343.352
What is -622 times 289?
-179758
43490.37 * 3
130471.11
0.05 * 0.27301
0.0136505
What is 1576 times 67?
105592
19*-79437
-1509303
Multiply -54 and -2.675.
144.45
-0.0361475 * 0.1
-0.00361475
-1663 * 0.42
-698.46
What is the product of 110322 and 0.1?
11032.2
2*27406
54812
-308 times -1766
543928
Product of 5 and 366553.
1832765
Work out -0.643 * 523.
-336.289
-0.28 times -1549
433.72
Work out -7.5 * 180.
-1350
Work out 93 * -2.
-186
Multiply 16936.9 and -0.3.
-5081.07
Calculate 4906*-6.8.
-33360.8
Work out 0.02 * 339.
6.78
-2676 times -0.04
107.04
Product of -3.758 and -0.12.
0.45096
Calculate 0.1017*0.9.
0.09153
0.184 * -21
-3.864
Work out -0.5 * -286522.
143261
Calculate 0.5*-4.2374.
-2.1187
What is the product of 0.4063 and -9.3?
-3.77859
What is -80 times -9.55?
764
Calculate 14*6290.
88060
Calculate -641*73.
-46793
-2 times -4.5799
9.1598
What is the product of 1179.3 and -11?
-12972.3
Calculate 0.1541*44.
6.7804
19 * 126.7
2407.3
What is -1 times 2618?
-2618
-0.3 * -13179
3953.7
Work out 0.06639 * 121.
8.03319
Calculate 2*-5235.6.
-10471.2
What is the product of 212 and -48?
-10176
Product of 4347 and 101.
439047
0.2 * 2.8487
0.56974
-0.02 * -0.1892
0.003784
What is -333 times -833?
277389
Product of 1 and -889.18.
-889.18
Work out 0 * 30367.1.
0
Calculate 7530*10.
75300
Work out 1773 * -56.
-99288
What is -1306 times -2 | {
"pile_set_name": "DM Mathematics"
} |
rom fhwfffwwfw?
2/15
Two letters picked without replacement from {r: 4, i: 2, m: 2, k: 4, a: 2}. Give prob of sequence km.
4/91
Three letters picked without replacement from {s: 9, y: 7}. Give prob of sequence yys.
9/80
Calculate prob of sequence mml when three letters picked without replacement from {x: 7, m: 7, l: 1, r: 2}.
7/680
Calculate prob of sequence jdsd when four letters picked without replacement from {j: 1, s: 7, d: 5}.
7/858
What is prob of sequence fxa when three letters picked without replacement from {a: 8, f: 1, x: 6}?
8/455
Two letters picked without replacement from qqqq. What is prob of sequence qq?
1
Two letters picked without replacement from {w: 5, p: 2, e: 1, g: 1}. Give prob of sequence wg.
5/72
Calculate prob of sequence ee when two letters picked without replacement from eemechc.
1/7
Two letters picked without replacement from skuusugu. What is prob of sequence kg?
1/56
Calculate prob of sequence pxp when three letters picked without replacement from cxxpxcpdpwdk.
3/220
Four letters picked without replacement from {h: 13, d: 3}. Give prob of sequence hhhh.
11/28
Calculate prob of sequence gk when two letters picked without replacement from {g: 6, k: 4}.
4/15
Three letters picked without replacement from lyllllylylll. Give prob of sequence yyy.
1/220
Calculate prob of sequence zczz when four letters picked without replacement from {t: 1, z: 1, p: 4, c: 2}.
0
Calculate prob of sequence ff when two letters picked without replacement from {f: 12, j: 6}.
22/51
Three letters picked without replacement from {t: 1, x: 2, d: 3, i: 13}. What is prob of sequence ddt?
1/969
Calculate prob of sequence vv when two letters picked without replacement from dddddpvdddvddvddpvt.
2/57
Three letters picked without replacement from {r: 1, k: 1, w: 3}. What is prob of sequence rrk?
0
Two letters picked without replacement from vwwvzvzvccvvz. What is prob of sequence ww?
1/78
Four letters picked without replacement from {p: 1, z: 1, d: 1, o: 2, v: 1, m: 1}. What is prob of sequence dvom?
1/420
What is prob of sequence si when two letters picked without replacement from ksskissskk?
1/18
Calculate prob of sequence gzya when four letters picked without replacement from {z: 7, g: 2, l: 2, y: 1, f: 3, a: 5}.
7/11628
Three letters picked without replacement from zmwzzzwwzznnnz. What is prob of sequence www?
1/364
Three letters picked without replacement from lvkbsvvv. Give prob of sequence bks.
1/336
Calculate prob of sequence daa when three letters picked without replacement from {b: 2, s: 1, d: 6, a: 2}.
2/165
Two letters picked without replacement from {q: 10, o: 7, f: 1, x: 2}. What is prob of sequence oq?
7/38
Two letters picked without replacement from rsvr. Give prob of sequence rv.
1/6
Two letters picked without replacement from wwwwwwwwwnwwwww. Give prob of sequence ww.
13/15
Three letters picked without replacement from {i: 3, q: 1, r: 3}. What is prob of sequence iii?
1/35
Calculate prob of sequence mfmf when four letters picked without replacement from {p: 2, m: 4, j: 1, f: 1}.
0
Four letters picked without replacement from {t: 5, p: 11}. Give prob of sequence tptp.
55/1092
Two letters picked without replacement from auafe. Give prob of sequence ea.
1/10
Two letters picked without replacement from ggvggvggggvggggvgv. What is prob of sequence gg?
26/51
Three letters picked without replacement from {l: 5, u: 3}. What is prob of sequence uul?
5/56
Three letters picked without replacement from wewwwwweee. What is prob of sequence eew?
1/10
Four letters picked without replacement from tynzezzyyzyzynyeyzzy. What is prob of sequence nyze?
28/14535
Calculate prob of sequence www when three letters picked without replacement from wwwww.
1
Calculate prob of sequence vt when two letters picked without replacement from {v: 1, f: 1, a: 1, t: 1, n: 1, j: 2}.
1/42
Two letters picked without replacement from yhzhhyk. Give prob of sequence kh.
1/14
Two letters picked without replacement from jwwjjjjwwjjwijwjiww. Give prob of sequence ji.
1/19
Calculate prob of sequence ayq when three letters picked without replacement from {y: 5, a: 3, q: 8}.
1/28
Two letters picked without replacement from {l: 2, n: 2, h: 3, f: 2}. Give prob of sequence hh.
1/12
What is prob of sequence ll when two letters picked without replacement from dminnmindinldnidnn?
0
Two letters picked without replacement from khhokhhdrrrkrhkrkhhh. What is prob of sequence dr?
1/76
Two letters picked without replacement from iiiut. Give prob of sequence ti.
3/20
Three letters picked without replacement from gqq. Give prob of sequence qgq.
1/3
Calculate prob of sequence aak when three letters picked without replacement from {k: 5, a: 14}.
455/2907
Four letters picked without replacement from prcbctbccictcccb. What is prob of sequence tcip?
1/2730
What is prob of sequence zvz when three letters picked without replacement from {o: 1, z: 2, v: 1, u: 2, s: 1}?
1/105
What is prob of sequence mss when three letters picked without replacement from pkmspsppmskp?
1/110
Calculate prob of sequence vris when four letters picked without replacement from {i: 1, o: 1, v: 1, r: 1, s: 1}.
1/120
What is prob of sequence men when three letters picked without replacement from temntec?
1/105
What is prob of sequence zttn when four letters picked without replacement from xgtnxgtxxtczx?
1/2860
Four letters picked without replacement from {k: 3, e: 3, f: 3, b: 10}. What is prob of sequence feff?
1/5168
What is prob of sequence jp when two letters picked without replacement from {q: 2, p: 9, j: 1, u: 2}?
9/182
Three letters picked without replacement from rqqrr. What is prob of sequence rrq?
1/5
Calculate prob of sequence vlv when three letters picked without replacement from rlvrlllvrrlvlvl.
2/65
What is prob of sequence vvr when three letters picked without replacement from {m: 2, v: 3, r: 2, u: 2, t: 2, a: 6}?
1/340
Calculate prob of sequence gxg when three letters picked without replacement from gxxxg.
1/10
Calculate prob of sequence dvv when three letters picked without replacement from ddvvvvvdvddvvv.
15/91
What is prob of sequence alxl when four letters picked without replacement from lzslslslxlxsgas?
1/819
Calculate prob of sequence ae when two letters picked without replacement from eaea.
1/3
Four letters picked without replacement from wwvrnv. Give prob of sequence vvwr.
1/90
What is prob of sequence nnn when three letters picked without replacement from ccncnlsclnn?
4/165
Four letters picked without replacement from sexjxesexxaeta. What is prob of sequence seea?
2/1001
Calculate prob of sequence lrl when three letters picked without replacement from {h: 4, l: 3, r: 1}.
1/56
What is prob of sequence ump when three letters picked without replacement from pmpmpuupmpppmmumuum?
245/5814
Three letters picked without replacement from yqqquqyuqqqaququ. What is prob of sequence uuu?
1/140
Calculate prob of sequence bfb when three letters picked without replacement from fffbfffffffffffffffb.
1/190
What is prob of sequence hz when two letters picked without replacement from {b: 7, m: 1, t: 6, z: 2, h: 4}?
2/95
Two letters picked without replacement from {d: 7, f: 7}. Give prob of sequence dd.
3/13
Two letters picked without replacement from utauf. Give prob of sequence ua.
1/10
Two letters picked without replacement from slisyui. What is prob of sequence ii?
1/21
What is prob of sequence zo when two letters picked without replacement from mzo?
1/6
Two letters picked without replacement from {q: 1, x: 1, t: 1, a: 1, k: 1}. Give prob of sequence qx.
1/20
What is prob of sequence px when two letters picked without replacement from {b: 1, y: 1, p: 1, x: 1, a: 1}?
1/20
Four letters picked without replacement from olsseeolshslsoeh. What is prob of sequence oees?
3/1456
Calculate prob of sequence oyo when three letters picked without replacement from {o: 2, y: 3, g: 1, j: 7, b: 6}.
1/969
Two letters picked without replacement from lcdddcdddlldl. Give prob of sequence dd.
7/26
What is prob of sequence lyyl when four letters picked without replacement from {y: 13, l: 6}?
65/1292
Four letters picked without replacement from xxvvxxvvvv. Give prob of sequence vvvx.
2/21
Three letters picked without replacement from vvvvvhvv | {
"pile_set_name": "DM Mathematics"
} |
the c'th term of -7220, -10530, -13840, -17150, -20460?
-3310*c - 3910
What is the s'th term of -164, -408, -700, -1064, -1524, -2104?
-4*s**3 - 216*s + 56
What is the s'th term of -43551, -85035, -126519, -168003, -209487?
-41484*s - 2067
What is the f'th term of 469, 2910, 5353, 7798, 10245?
f**2 + 2438*f - 1970
What is the a'th term of -17648, -35190, -52586, -69794, -86772, -103478?
7*a**3 + 31*a**2 - 17684*a - 2
What is the n'th term of 885, 858, 803, 720, 609, 470, 303?
-14*n**2 + 15*n + 884
What is the d'th term of 76477, 305870, 688187, 1223428, 1911593, 2752682, 3746695?
76462*d**2 + 7*d + 8
What is the r'th term of 174557861, 174557865, 174557869, 174557873, 174557877?
4*r + 174557857
What is the t'th term of -1018, -1167, -1262, -1177, -786?
21*t**3 - 99*t**2 + t - 941
What is the v'th term of -323058, -1292318, -2907778, -5169438, -8077298?
-323100*v**2 + 40*v + 2
What is the d'th term of 218535, 219965, 221405, 222861, 224339, 225845?
d**3 - d**2 + 1426*d + 217109
What is the j'th term of -46223, -92641, -139059, -185477, -231895, -278313?
-46418*j + 195
What is the n'th term of 60631, 121298, 181965, 242632, 303299?
60667*n - 36
What is the x'th term of 6627812, 6627813, 6627814, 6627815, 6627816?
x + 6627811
What is the x'th term of -82928418, -82928420, -82928422, -82928424, -82928426?
-2*x - 82928416
What is the v'th term of 72666, 72816, 73070, 73428?
52*v**2 - 6*v + 72620
What is the c'th term of 18369, 62981, 137337, 241437, 375281, 538869?
14872*c**2 - 4*c + 3501
What is the s'th term of 87148, 88117, 89086?
969*s + 86179
What is the p'th term of 28748, 120235, 272706, 486155, 760576, 1095963, 1492310?
-p**3 + 30498*p**2 - 1749
What is the h'th term of -9131119, -18262234, -27393349, -36524464, -45655579, -54786694?
-9131115*h - 4
What is the o'th term of 14, 121, 454, 1139, 2302, 4069?
21*o**3 - 13*o**2 - o + 7
What is the z'th term of 707880, 1415772, 2123666, 2831562?
z**2 + 707889*z - 10
What is the s'th term of -18967776, -18967773, -18967770, -18967767, -18967764?
3*s - 18967779
What is the t'th term of -16613208, -16613209, -16613210, -16613211, -16613212?
-t - 16613207
What is the v'th term of 13410356, 13410355, 13410354, 13410353, 13410352, 13410351?
-v + 13410357
What is the z'th term of 860682, 860694, 860736, 860826, 860982?
3*z**3 - 3*z**2 + 860682
What is the w'th term of 67306, 68827, 70348?
1521*w + 65785
What is the m'th term of -47525, -47522, -47569, -47690, -47909, -48250?
-4*m**3 - m**2 + 34*m - 47554
What is the j'th term of -3849, -12936, -28075, -49260, -76485, -109744?
j**3 - 3032*j**2 + 2*j - 820
What is the g'th term of -59651189, -59651188, -59651187, -59651186, -59651185?
g - 59651190
What is the r'th term of 42191424, 84382850, 126574276, 168765702?
42191426*r - 2
What is the c'th term of 1315, 1286, 1253, 1216, 1175, 1130?
-2*c**2 - 23*c + 1340
What is the p'th term of 2789, 5480, 8115, 10688, 13193, 15624?
-p**3 - 22*p**2 + 2764*p + 48
What is the z'th term of -13044730, -26089435, -39134140, -52178845, -65223550?
-13044705*z - 25
What is the x'th term of -30801, -26870, -22943, -19020, -15101, -11186?
-2*x**2 + 3937*x - 34736
What is the a'th term of 28098, 110348, 246748, 437298, 681998, 980848, 1333848?
27075*a**2 + 1025*a - 2
What is the f'th term of -11463, -11465, -11491, -11547, -11639, -11773?
-f**3 - 6*f**2 + 23*f - 11479
What is the o'th term of -433, -718, -841, -802?
81*o**2 - 528*o + 14
What is the y'th term of 2076, 3526, 4976, 6426, 7876?
1450*y + 626
What is the b'th term of -2393, -1718, 2017, 8812?
1530*b**2 - 3915*b - 8
What is the n'th term of -10938266, -21876530, -32814794, -43753058, -54691322?
-10938264*n - 2
What is the y'th term of 164070958, 164070956, 164070954?
-2*y + 164070960
What is the p'th term of -718321, -2873300, -6464933, -11493220, -17958161, -25859756, -35198005?
-718327*p**2 + 2*p + 4
What is the y'th term of 428647, 855892, 1283137, 1710382, 2137627?
427245*y + 1402
What is the p'th term of 11144, 49810, 114262, 204506, 320548?
p**3 + 12887*p**2 - 2*p - 1742
What is the i'th term of 21104, 42157, 63102, 83885, 104452?
-9*i**3 + 21116*i - 3
What is the y'th term of -107755, -431062, -969923, -1724344, -2694331?
-y**3 - 107771*y**2 + 13*y + 4
What is the i'th term of -2198, -2480, -2774, -3086, -3422, -3788, -4190?
-i**3 - 275*i - 1922
What is the y'th term of 257136, 510465, 763794, 1017123, 1270452?
253329*y + 3807
What is the r'th term of -8649, -21392, -34135, -46878?
-12743*r + 4094
What is the t'th term of 26801, 27103, 27605, 28307, 29209, 30311, 31613?
100*t**2 + 2*t + 26699
What is the h'th term of -40971, -41073, -41243, -41481?
-34*h**2 - 40937
What is the x'th term of 184, 185, 172, 151, 128, 109, 100?
x**3 - 13*x**2 + 33*x + 163
What is the v'th term of 7745, 6833, 5921, 5009?
-912*v + 8657
What is the f'th term of 7122, 37500, 88136, 159036, 250206?
f**3 + 10123*f**2 + 2*f - 3004
What is the o'th term of -64123, -256512, -577169, -1026094, -1603287?
-64134*o**2 + 13*o - 2
What is the k'th term of 51247, 53177, 56393, 60895?
643*k**2 + k + 50603
What is the i'th term of 40089, 42831, 45573?
2742*i + 37347
What is the t'th term of 956, 1472, 1998, 2552, 3152?
3*t**3 - 13*t**2 + 534*t + 432
What is the z'th term of -347, -576, -663, -590, -339?
3*z**3 + 53*z**2 - 409*z + 6
What is the m'th term of 497, 1994, 5483, 11966, 22445, 37922, 59399?
167*m**3 - 6*m**2 + 346*m - 10
What is the x'th term of -135711, -271253, -406795, -542337, -677879?
-135542*x - 169
What is the u'th term of 731454, 1462909, 2194370, 2925837, 3657310, 4388789?
3*u**2 + 731446*u + 5
What is the f'th term of -1686, -962, -238, 486, 1210?
724*f - 2410
What is the o'th term of 18516366, 37032744, 55549122, 74065500, 92581878, 111098256?
18516378*o - 12
What is the o'th term of 13648, 20597, 27546?
6949*o + 6699
What is the v'th term of 410984, 822211, 1233438, 1644665, 2055892?
411227*v - 243
What is the l'th term of 341585, 343473, 345359, 347243, 349125, 351005, 352883?
-l**2 + 1891*l + 339695
What is the u'th term of -162, -2592, -7360, -14466, -23910, -35692, -49812?
-1169*u**2 + 1077*u - 70
What is the x'th term of -5377, -22484, -52389, -96232, -155153, -230292, -322789?
-190*x**3 - 5259*x**2 + 72
What is the a'th term of -1537892, -3075774, -4613642, -6151496, -7689336, -9227162, -10764974?
7*a**2 - 1537903*a + 4
What is the q'th term of -5479, -8308, -11137, -13966?
-2829*q - 2650
What is the x'th term of 45127, 94301, 143475, 192649, 241823?
49174*x - 4047
What is the x'th term of 159075, 318126, 477153, 636162, 795159, 954150, 1113141, 1272138?
x**3 - 18*x**2 + 159098*x - 6
What is the w'th term of -570445, -570398, -570365, -570352, -570365, -570410, -570493, -570620?
-w**3 - w**2 + 57*w - 570500
What is the d'th term of -637334, -636175, -635016, -633857, -632698?
1159*d - 638493
What is the x'th term of -958598, -1917126, -2875654?
-958528*x - 70
What is the g'th term of 3515, 8571, 13627, 18683, 23739?
5056*g - 1541
What is the i'th term of -16547, -16626, -16705?
-79*i - 16468
What is the t'th term of -9299, -18506, -27597, -36536, -45287, -53814, -62081?
6*t**3 + 22*t**2 - 9315*t - 12
What is the x'th term of 116190, 231305, 346418, 461529, 576638, 691745?
-x**2 + 115118*x + 1073
What is the c'th term of -11274, -20084, -28894, -37704?
-8810*c - 2464
What is the m'th term of -16162386, -16162385, -16162382, -16162377, -16162370, -16162361?
m**2 - 2*m - 16162385
What is the g'th term of -14580, -58137, -130660, -232143, -362580, -521965, -710292, -927555?
g**3 - 14489*g**2 - 97*g + 5
What is the l'th term of 906344, 3625340, 8156994, 14501300, 22658252, 32627844, 44410070, 58004924?
-l**3 + 906335*l**2 - 2*l + 12
What is the r'th term of 149, 689, 2257, 5399, 10661, 18589?
91*r**3 - 32*r**2 - r + 91
What is the c'th term of 9962469, 9962426, 9962383, 9962340, 9962297?
-43*c + 9962512
What is the l'th term of -5343295, -10686582, -16029869, -21373156?
-5343287*l - 8
What is the l'th term of 189426, 380512, 571596, 762678, 953758, 1144836?
-l**2 + 191089*l - 1662
What is the u'th term of -239348, -957376, -2154088, -3829484, -5983564, -8616328, -11727776?
-239342*u**2 - 2*u - 4
What is the c'th term of 3208, 4086, 4962, 5836, 6708?
-c**2 + 881*c + 2328
| {
"pile_set_name": "DM Mathematics"
} |
is p rounded to the nearest ten?
-40
Let b = 36965.0000031905 + -36965. What is b rounded to seven dps?
0.0000032
Let r = -34.7766 + -0.2484. Let y = 124 - 89. Let t = r + y. Round t to two decimal places.
-0.03
Let q = 694967439311.00057 + -694947501857. Let w = -19937545 + q. Let s = w + 91. Round s to four decimal places.
0.0006
Let g(n) = -7*n**2 + 73. Let z = -77 + 84. Let u be g(z). What is u rounded to the nearest 100?
-300
Let k = 1244.000000998 - 1244. What is k rounded to 6 decimal places?
0.000001
Let m = -20532 + 10945. Let q(c) = -3844*c**2 - 36*c - 99. Let a be q(-3). Let k = a - m. Round k to the nearest 10000.
-30000
Let t = 12.521 + -134.831. Round t to 0 decimal places.
-122
Let h = -881.919941469 + 881.92. What is h rounded to 6 dps?
0.000059
Let o = -0.1491 + 0.222. Let h = -0.07290679 + o. What is h rounded to 6 decimal places?
-0.000007
Let n be -6*7/((-42)/(-52)). Let x be (-18)/(-8) - 39/n. Let c(h) = -88*h**2 + 5*h - 3. Let b be c(x). What is b rounded to the nearest 100?
-800
Let i = 352.32 + -352.319955825. Round i to 7 dps.
0.0000442
Let o = 806159200483 + -806159200390.0434244337. Let c = 0.0434032337 + o. Let x = c - 93. What is x rounded to 6 dps?
-0.000021
Suppose h = -2*h + o - 29862297, 5*h + 5*o = -49770515. What is h rounded to the nearest one hundred thousand?
-10000000
Let p = -104868.0539976 + 104868. Let l = -128 - -127.946. Let d = l - p. Round d to six dps.
-0.000002
Let h = 13.49 + -12.35. What is h rounded to 2 decimal places?
1.14
Let p = 18205 + -18204.984323. Let g = 0.0155 - p. Round g to five decimal places.
-0.00018
Let h(s) = 90*s**2 - 77*s - 17. Let j be h(11). Round j to the nearest one thousand.
10000
Suppose -5*f + u - 28 = 6, -3*u = 2*f. Let q be 4/12 - 10/f. Suppose q*y - 2400000 = -y. Round y to the nearest 100000.
800000
Let z = 250600 + -250594.29988. Let w = 93.3 - 99. Let j = z + w. Round j to 4 dps.
0.0001
Let f = -17109.934476 - -17110. What is f rounded to two dps?
0.07
Let l = 89 + -89. Suppose l = -2*y - 3*y - 100334655. Let b = 30846931 + y. Round b to the nearest 1000000.
11000000
Let a(k) = 18*k - 106. Let h be a(6). Let t be (h + (-60)/9)/(13/195). Round t to the nearest ten.
-70
Let z = -39880 + 40350.02. What is z rounded to the nearest one hundred?
500
Let t = -48110 - -48109.40699. What is t rounded to 1 dp?
-0.6
Let l = 0.00341 - 28.02741. Let c = l - -28. Let q = c + 0.02400035. What is q rounded to 7 dps?
0.0000004
Let t(j) = 10*j - 65. Let h be t(7). Suppose -h*v = 25, -x - 4*v - 4473020 = -0*v. What is x rounded to the nearest one hundred thousand?
-4500000
Let r be 5/((-70)/(-2746799996)) - 14/(-49). Suppose -25*s = -22*s + r. What is s rounded to the nearest 1000000?
-65000000
Let h = 0.00034 - 7.87034. Let d = -0.63 + -0.1. Let z = h + d. What is z rounded to 0 decimal places?
-9
Let m = -208 - -440. Let l = m - 154. Let v = l + -6.8. Round v to the nearest 10.
70
Let j be 374279993/(-1) - 23/((-598)/(-182)). What is j rounded to the nearest 1000000?
-374000000
Let o = 100672 + -100671.99999914322. What is o rounded to seven decimal places?
0.0000009
Suppose 6*j + 97012024 = 2*q, 5*j = 2*q - 5358004 - 91654016. What is q rounded to the nearest 100000?
48500000
Let u(i) = -i - 12. Let f be u(-13). Let x be 3/f + 0 - -11. Let w = 14 - x. What is w rounded to the nearest integer?
0
Let p = 74.26999765175 + -74.27. Round p to 7 decimal places.
-0.0000023
Suppose 0 = 771*k - 779*k - 34584000. What is k rounded to the nearest one million?
-4000000
Let h be -2*(11 + -5 - 7). Suppose -h*i + 16252 = 4*j, -4*j + 40642 = -i + 6*i. What is i rounded to the nearest 1000?
8000
Let l = 0.06522 + -35.26522. Round l to the nearest 100.
0
Let i(m) = -21*m - 39. Let h be i(-2). Suppose -h = -d, 4*u - 6*u + d - 8823 = 0. Round u to the nearest 1000.
-4000
Let c = 29227.99665 + -29136. Let y = c - 92. Round y to four dps.
-0.0034
Let p(y) = 122999*y**3 + 2*y**2 - 1. Let r be p(1). Let i = 30 + -28. Suppose -q + r = -i*q. Round q to the nearest ten thousand.
-120000
Let l = -718.0000002509 - -718. What is l rounded to 7 decimal places?
-0.0000003
Let w = -2.075 - -54.991. Let t = -0.084 - w. Let f = t - -54.06. Round f to one dp.
1.1
Let x(k) = -17795*k**2 - 12*k + 148. Let a be x(-6). What is a rounded to the nearest 100000?
-600000
Suppose -62*h + 76353 + 12324 = -65*h. What is h rounded to the nearest 1000?
-30000
Let x = 170.5 - 3.5. Let y = 166.852 - x. Round y to 2 dps.
-0.15
Let x = 9.75 - 16.6. Let a = -13.09 + x. What is a rounded to zero dps?
-20
Let p = 6928 - 6927.96463. Let j = -9.2396 + 9.2. Let c = p + j. What is c rounded to four decimal places?
-0.0042
Let x be ((-117336)/(-10))/((-10483)/(-550) - 19). What is x rounded to the nearest one thousand?
196000
Let a = -2630 - -2630.000002525. What is a rounded to 5 dps?
0
Let y = 270 - 888. Let w = 622.98 + y. What is w rounded to one dp?
5
Let z(n) = 123*n + 0*n**2 - 4 + n**2 - 124*n. Let w be z(3). Let y(u) = 4548*u**2 + 5*u - 2. Let q be y(w). What is q rounded to the nearest one thousand?
18000
Suppose s + 3187 = 4*m - 163, 3*m = s + 2513. Let d be (-1)/(5858/m + -7). Round d to the nearest one hundred.
800
Let p = 57497.1 - 61014. Round p to the nearest 10.
-3520
Let o = 5168940.962 + -5168903.96200061. Let c = 80 + -117. Let g = o + c. Round g to 7 dps.
-0.0000006
Let j = 0.085881102 + -0.0859. Round j to 6 decimal places.
-0.000019
Let d be ((-9441480)/(-9) - 200/60)/(2/8). What is d rounded to the nearest one hundred thousand?
4200000
Suppose 4200626 = 13*v + 636416. Round v to the nearest ten thousand.
270000
Let c = -32.43889514 - -32.951905. Let j = 0.513 - c. Round j to 6 decimal places.
-0.00001
Let b = -0.028 - 25.872. Let v = -379 + 396.5. Let j = b - v. Round j to zero dps.
-43
Suppose -15*v - 99 = -26*v. Suppose -v*b - 766477 = -190477. Round b to the nearest 10000.
-60000
Let g = -949100.9863 + 949145. Let x = 44 - g. Round x to 3 dps.
-0.014
Let y = 11955 + -11992.77. What is y rounded to 0 decimal places?
-38
Let p = 62801 - 63249.422. Let n = p + 472. Let z = -23.9 + n. What is z rounded to 1 decimal place?
-0.3
Let x = -3358 + 44295. Suppose x - 238937 = -2*j. What is j rounded to the nearest 10000?
100000
Let r be 5/40*10 + (-35)/(-20). Let n be r*-1 - (16 - -951). What is n rounded to the nearest 10?
-970
Let w = -0.6213189 + 0.6203. Round w to four decimal places.
-0.001
Let r = -5209 + 5539.9. Round r to the nearest one hundred.
300
Let o = -100 - -100.622. Let w = -0.67325 + o. What is w rounded to two decimal places?
-0.05
Let i(d) = -20 + 6132*d - 5939*d - 4450*d - 31003*d. Let k be i(18). What is k rounded to the nearest 100000?
-600000
Let y = 630 - 311. Let p = 780 - y. Round p to the nearest 10.
460
Let m = 3.223 + -3.332. What is m rounded to 1 decimal place?
-0.1
Let n = 177379 - 8944. Round n to the nearest 10000.
170000
Let r = 535877.412939062 - -1.671660938. Let b = r + -535857.08459943. Let n = 22 - b. Round n to seven decimal places.
-0.0000006
Let h = -41963 - -76462. Let s = 33949.61 - h. Let u = s - -552. Round u to one decimal place.
2.6
Let m be (74/(-6))/((-4)/(-1788)*-1). Let y = -8693 + m. What is y rounded to the nearest one hundred?
-3200
Let r = -787605 - -1547602. Let a be r/(-5) - (-3)/(-5). What is a rounded to the nearest 100000?
-200000
Let i = -181435 + 181434.99912679. Round i to 4 dps.
-0.0009
Let w = -1.59 + 1.743. Let c = w - 0.286. Let n = 0.13300079 + c. What is n rounded to 7 decimal places?
0.0000008
Let d = 295 + -294.823. Let l = d - 0.074. Let w = 0.102987 - l. Round w to six decimal places.
-0.000013
Let g = -40991534 - -65058285. Let n = g - 15906751. What is n rounded to the nearest 1000000?
8000000
Let y = -112 - 195. Let b = 359.5 + y. Round b to the nearest integer.
53
Let x = 493779 - 493779.000238673. What is x rounded to six dps?
-0.000239
Let q = 47354227 - 47354226.57900271. Let y = -943.579 - -944. Let s = q - y. Round s to 6 dps.
-0.000003
Let h = 1.191527 - 1.1875. What is h rounded to 5 decimal places?
0.00403
Let h be 512/24 - (-2)/(-6). Let q = h + -22. Let w be -8 - -5 - -13900 - (q + -2). Round w to the nearest ten thousand.
10000
Let a = 11228 + -11189.195. Let v = 39.5 - a. What is v rounded to one decimal place?
0.7
Let j = -3 | {
"pile_set_name": "DM Mathematics"
} |
2*12/8*(-10)/(-6)?
5
Calculate ((-6)/21)/(3*(-4)/(-28)).
-2/3
Calculate ((-48)/(-6))/(-4)*3/6.
-1
Evaluate ((54/(-24))/(-9))/((-14)/16).
-2/7
What is (12/4)/((-189)/14)?
-2/9
Calculate 60/(-72)*(-2)/((-3)/3).
-5/3
Evaluate 25/(-10)*4/(-15).
2/3
What is the value of (-2)/(-5)*2/2*5?
2
What is the value of 3/(-6)*18/36?
-1/4
What is (-7)/(-4)*-3*(-9)/63?
3/4
Calculate ((-8)/7)/(-2)*(-35)/(-5).
4
What is ((-7)/(-2))/((-469)/(-134))?
1
Calculate (-72)/54*1/(-8).
1/6
((4/(-3))/(-2))/(98/(-84))
-4/7
((-5)/10)/(13/39)
-3/2
What is the value of (136/(-204))/(2*(-10)/(-3))?
-1/10
What is (-4)/(-2)*4*2/(-4)?
-4
Calculate 20/(-30)*(-9)/24.
1/4
((-3)/(-2))/((-16)/32)
-3
What is the value of ((-9)/105)/((-10)/50)?
3/7
Evaluate (-2)/(-20)*2*17/(-17).
-1/5
What is the value of -1*7/(-42)*-30?
-5
What is ((-4)/3)/(-8*12/(-144))?
-2
Evaluate ((-5)/40*4)/(6/4).
-1/3
What is the value of 4*(-4)/(-16)*5?
5
Evaluate (21/(-3))/(9/9).
-7
Calculate (68/238)/(1*(-3)/42).
-4
What is 5/(-76)*-2*4/(-5)?
-2/19
Calculate 4/(1/(((-40)/(-8))/(-20))).
-1
Evaluate (17*(-7)/(-357))/((-8)/(-6)).
1/4
Calculate (2*(-6)/4)/(6/4).
-2
What is (2/(-4)*-2)/(7/(-35))?
-5
Evaluate ((-144)/(-54))/(8/(-12)).
-4
Calculate 6/(-20)*(-48)/(-36).
-2/5
6/4*(-47)/(235/30)
-9
What is -5*-6*(-3)/90?
-1
Evaluate 72/(-420)*5/(-3).
2/7
Calculate ((54/(-24))/3)/((-3)/(-8)).
-2
Calculate ((-72)/70)/(-6)*574/123.
4/5
Calculate (4/8)/(-3*2/4).
-1/3
Evaluate ((-25)/2)/((-735)/294).
5
Calculate ((-5)/(-15)*0)/((-2)/1).
0
What is (20/30)/(-2*(-7)/6)?
2/7
(12/(-8))/((-24)/(-32))
-2
Calculate (30/350*5)/((-20)/14).
-3/10
Evaluate -2*5/(-210)*-6.
-2/7
43/(-129)*(-3)/2
1/2
What is 4/1*23/(-92)?
-1
Calculate (1/1)/(3/(-6)).
-2
Evaluate (0/4)/((-16)/((-32)/6)).
0
Evaluate 430/(-172)*(-4)/5.
2
((-3)/10)/((-4)/(-16)*-3)
2/5
What is (-5)/(((-45)/(-6))/(-3))?
2
(2/2)/((-80)/560)
-7
1/1*1/((-5)/(-25))
5
What is the value of ((-6)/(-92)*24/18)/1?
2/23
(2/3)/(-6*(-4)/108)
3
What is the value of (40/100)/(4/(-15))?
-3/2
Evaluate (12/(-6))/(3*16/(-6)).
1/4
What is the value of (((-3)/(-10))/3)/(138/230)?
1/6
Evaluate 30/3*(-7)/14.
-5
Evaluate (-12)/9*(-2)/196*-21.
-2/7
Calculate (-104)/156*(-6)/1.
4
Evaluate (51/85)/((1/1)/(-10)).
-6
Evaluate ((-4)/10)/((-56)/80).
4/7
What is the value of (-4)/8*16*(-2)/(-4)?
-4
(12/(-3))/((-4)/(-16)*4)
-4
What is the value of (2/12*3)/(11/66)?
3
What is the value of ((-5)/20)/((-6)/(24/(-5)))?
-1/5
Evaluate 1*0*(-11)/(-66).
0
(-1)/(-75)*4*95/38
2/15
What is 1*(22/(-66))/(1/9)?
-3
Calculate -3*2/(-6)*(-96)/(-160).
3/5
(-3)/3*1/(-3)*0
0
Calculate (8/(-10))/(282/235).
-2/3
Evaluate ((-4)/70*-1)/((-23)/(-161)).
2/5
What is 6*(600/(-45))/(-10)?
8
3/1*(30/63)/(-5)
-2/7
What is the value of (2/((-4)/(-6)))/7?
3/7
What is -9*44/180*-5?
11
Evaluate ((-6)/18)/(((-5)/4)/5).
4/3
Evaluate (18/42*7)/((-12)/(-2)).
1/2
What is 1/((-2)/3*8/(-16))?
3
Evaluate (-1)/(((-49)/(-14))/7).
-2
Calculate (-66)/(-429)*(-1)/1.
-2/13
What is the value of (((-1)/10)/(8/48))/(-3)?
1/5
What is ((-333)/370)/(24/20)?
-3/4
Evaluate 4/22*(-6)/(-6).
2/11
What is ((-8)/60)/((-4)/10)?
1/3
What is the value of (3/(-36))/((-49)/(-56))?
-2/21
What is the value of 1/((90/70)/9)?
7
What is (-12)/9*(-90)/20?
6
What is the value of (-84)/144*(-5)/(-70)*4?
-1/6
(((-2)/2)/(-4))/((-1)/(-8))
2
((-16)/(-6))/((252/27)/14)
4
Evaluate -20*(9/18)/((-2)/1).
5
What is (-8)/(-3)*(-750)/(-200)?
10
Calculate ((-7)/(28/(-24)))/(2/(-2)).
-6
(1*(-2)/14)/(31/62)
-2/7
5/(-4)*(-6)/45*-3
-1/2
What is (21/28*-4)/((-10)/(-2))?
-3/5
Calculate (17/34)/(10/12).
3/5
What is the value of ((-14)/35)/((-1)/10)?
4
What is the value of (2/(-2)*18/30)/3?
-1/5
What is (-9)/(24/8)*4/6?
-2
What is the value of (-8*2/(-24))/((-2)/(-6))?
2
What is (5/((-25)/2))/(-2)?
1/5
((40/(-6))/(-10))/(3/18)
4
Evaluate 10/135*9*1/1.
2/3
Calculate ((-405)/144)/(-15)*-4.
-3/4
Evaluate 2*(9/6)/3.
1
What is ((-8)/7)/((-73)/((-14819)/174))?
-4/3
What is (-1*2)/((121/(-11))/22)?
4
((12/4)/6)/(1037/(-244))
-2/17
What is ((15/(-405))/(2/(-6)))/(-1)?
-1/9
Calculate ((-2)/(-3))/((-200)/60).
-1/5
((-4)/6)/(11/99)
-6
Evaluate (32/8)/((-14)/1)*-1.
2/7
What is the value of ((-1)/6)/((-1)/2)*-21?
-7
Calculate (16/(-36)*6)/((-2)/(-3)).
-4
What is the value of ((-40)/70)/(2/(-7))?
2
What is (-6)/(-33)*42/(-84)?
-1/11
What is (2/(-44))/(44/176)?
-2/11
What is the value of (48/(-8))/(20/2)?
-3/5
Evaluate 10/(-6)*(-9)/3.
5
Calculate (0*(-3)/(-6))/4.
0
20/25*2/(-4)
-2/5
Evaluate (-2)/(-4)*6*4/(-12).
-1
What is (-2*6/18)/((-10)/(-105))?
-7
Calculate (3/42)/((-2)/4).
-1/7
What is (8/(-112)*-7)/(25/20)?
2/5
((-5)/30*-10)/((-1)/(-3))
5
Calculate (2/(-16))/((-2)/64).
4
Evaluate (23/161)/((-2)/(-4)).
2/7
Evaluate (13/26)/(1/(-2)).
-1
Calculate -6*(-5)/(15/(-2)).
-4
What is (180/54)/((-4)/6)?
-5
Evaluate 15/6*(-56)/(-105).
4/3
What is the value of 12/600*10*35?
7
Calculate 7/((-84)/(-18))*(-3)/9.
-1/2
Evaluate 6/(24/4)*-2.
-2
What is the value of (16/24*-3)/15?
-2/15
Calculate 0/(((-5)/(-2))/((-75)/(-60))).
0
What is (2/4)/(74/(-296))?
-2
Calculate 6/18*10*4/60.
2/9
Evaluate (-16)/8*4/8.
-1
Calculate (540/450)/(27/30).
4/3
Calculate 8/2*(-155)/(-310).
2
14/(-2)*6/(-6)
7
Evaluate (-33)/(-44)*(-1*16)/(-2).
6
What is 6/(-8)*-1*(-16)/30?
-2/5
What is (8/4)/((-90)/(-9))?
1/5
Evaluate ((-24)/15)/((-140)/525).
6
What is (-60)/((-3)/1)*14/(-56)?
-5
Calculate ((-1)/3)/((-3)/9).
1
54/99*(4/4)/(-2)
-3/11
(22/(-6))/((-6)/288*-16)
-11
What is the value of ((-5)/3)/((-50)/30)?
1
What is (14/189)/((-1)/(-6)*2)?
2/9
31/186*(-7)/((-35)/(-40))
-4/3
2/(-4)*13*6/117
-1/3
(-12)/10*45/(-108)*8
4
Calculate (-2)/(40/15)*8/(-21).
2/7
Calculate (((-24)/6)/(-2))/(-1).
-2
What is the value of ((-8)/32)/((-1)/4)*-4?
-4
What is the value of (-9)/3*32/32?
-3
What is 138/(-23)*(-1)/27*-1?
-2/9
What is 30/(-20)*2/3?
-1
Evaluate (20/27)/2*621/1035.
2/9
Calculate ((-112)/980)/(((-8)/(-10))/(-2)).
2/7
((-12)/(-4))/(30/20)
2
What is (3/2)/((-12)/40)?
-5
What is the value of (-9)/3*((-7)/(-12))/7?
-1/4
What is ((-6)/(-3))/((-6)/(90/5))?
-6
Evaluate (-768)/48*(1/(-2))/(-1).
-8
What is the value of (-30)/4*26/(-260)?
3/4
What is the value of 1*((-80)/45)/16?
-1/9
Calculate 4*((-3)/24)/(12/72).
-3
(275/(-55))/((-1)/1)
5
What is (4*(-5)/60)/((-4)/12)?
1
(2/(-7))/(3/(3*-7))
2
What is (-1*(-1)/5)/((-9)/(-15))?
1/3
What is (-1)/(-13)*(-48)/24?
-2/13
What is the value of (-8*3/(-12))/(-2)?
-1
What is the value of 1*2/(12/(-30))?
-5
Calculate ((-2)/(-10))/((-18)/45).
-1/2
(162/144)/((-3)/(-16))
6
What is the value of 4*6*3/72?
1
What is 16/(-6)*(-99)/(-44)?
-6
What is the value of (-15)/9*11/11?
-5/3
Calculate 2/((-48)/20*-10).
1/12
Calculate 1/(68/(-20))*(-16)/(-40).
-2/17
What is (0*(-3)/(-12))/1?
0
Calculate ((192/21)/(-8))/(40/(-28)).
4/5
(-38)/(-57)*-3*(-1)/(-2)
-1
3/(-18)*5*2/5
-1/3
What is the value of 1*75/(-6)*(-8)/20?
5
33/(-4)*1076/(-807)
11
What is the value of 5*((-56)/(-42))/4?
5/3
Calculate ((-4)/42)/((-5)/(-30)*-2).
2/7
((-11)/154)/((-2)/8)
2/7
What is (-6)/(-8)*4*(-21)/(-36)?
7/4
What is the value of (0/26)/((-3)/(-6)*-2)?
0
Evaluate 2/(-4)*(780/(-50))/13.
3/5
Calculate (-2*(-24)/128)/(6/4).
1/4
Evaluate ((-6)/(-21))/(5/(-7)).
-2/5
Calculate 56/(-21)*21/532.
-2/19
Evaluate ((-24)/(-18))/(126/(-27)).
-2/7
(((-10)/(-4))/(-5))/(14/35)
-5/4
What is the value of -6*22/495*(-6)/8?
1/5
What is (1*5/15)/((-1)/9)?
-3
What is (-2*(-2)/1)/(1/1)?
4
What is the value of (22/(-847))/((-1)/7)?
2/11
((-32)/72)/((-1)/(-3))
-4/3
What is the value of (-6)/(-4)*12/(-63)?
-2/7
What is (-4)/(-32)*-2*2?
-1/2
Evaluate (8/(-2)*13/13)/(-4).
1
What is -20*2/(-32)*(-28)/(-7)?
5
Calculate (78/(-156))/(11/(-4)).
2/11
What is ((-1)/(-1))/(20/(-12))?
-3/5
Calculate ((-5)/(-5))/(4/12*-1).
-3
What is the value of -3*1*9/54*-1?
1/2
Evaluate 4/(-42)*(-29)/(377/(-78)).
-4/7
What is (9*4*(-5)/(-40))/15?
3/10
Calculate 10/(-225)*-18*(-3)/(-2).
6/5
Evaluate (-2)/10*13/(-13).
1/5
What is (2/4)/(3/30)?
5
Calculate (-1)/2*((-144)/63)/(-4).
-2/7
Evaluate (6/8)/((-18)/(-48)).
2
(11/(132/8))/((-6)/2)
-2/9
Evaluate ((-61)/(-732))/(((-1)/6)/(-1)).
1/2
Calculate (-8)/(-16)*7*(-2)/5.
-7/5
What is the value of (-3)/((264/32)/(-11))?
4
What is the value of 5*(-48)/(-80)*(-1)/(-2)?
3/2
4/(-7)*14/(-12)
2/3
Evaluate ((-60)/105)/((-6)/(-7))*9.
-6
What is 57/(-171)*7/(7/6)?
-2
Calculate ((-9 | {
"pile_set_name": "DM Mathematics"
} |
2). Let c be (-1)/(-5) - 1/5. Suppose -2 = -y - c*y. Sort -3, y, d in descending order.
y, -3, d
Let x = 90 - 87. Put -1, -9, x in descending order.
x, -1, -9
Suppose y = p + 4, 3*p - 4 + 6 = y. Suppose 2 + 8 = -y*t. Put t, -1, -4 in descending order.
-1, t, -4
Let c = -119/3 - -40. Sort 2/3, -1/2, c in ascending order.
-1/2, c, 2/3
Let n = -15 - -14.5. Put 0.1, n, -0.3 in descending order.
0.1, -0.3, n
Let m = -343 + 6519/19. Let v = 148.8 + -172. Let b = 23 + v. Put m, -1/3, b in descending order.
m, b, -1/3
Suppose 4*k - 54 - 34 = -5*g, -97 = -5*g - k. Suppose -w = -6*w + g. Put -5, 3, w in decreasing order.
w, 3, -5
Let f = 1 + -0.1. Let m = f - 1.1. Sort m, 5/2, 2/13 in increasing order.
m, 2/13, 5/2
Suppose 4*b + 3 = 2*d + 7*b, 2*d - b = -9. Sort 0, 2, d in decreasing order.
2, 0, d
Let s be 12/(-8)*8/6. Let u be (-53)/(-11) + 4/22. Sort 3, u, s in descending order.
u, 3, s
Let s = -14 - -10. Let i be ((-11)/(-22))/(3 + -2). Sort -2, i, s.
s, -2, i
Let r = -0.1 - 0.2. Let h = 1 + 12. Suppose 5*n + h - 33 = 0. Sort r, -2, n in decreasing order.
n, r, -2
Let r = -8.2 + 11. Let l = -0.8 + r. Put l, 1/3, -3/2 in increasing order.
-3/2, 1/3, l
Suppose y = -2*o - 2 - 1, 15 = 5*y - 5*o. Sort 0.17, 0.2, y in descending order.
y, 0.2, 0.17
Let s(x) = x - 2. Let t be s(7). Put 2, -1, t in increasing order.
-1, 2, t
Let m(x) be the third derivative of -x**6/60 - x**5/15 - x**4/12 + x**3/6 - 3*x**2. Let s be m(-2). Put -2, s, 2 in decreasing order.
s, 2, -2
Let f = 5.4 + -11. Let h = f - -6. Let n = -65/138 + -2/69. Sort -0.3, h, n.
n, -0.3, h
Let p(q) = 3*q + 1. Let z be p(1). Sort 3, z, -2/9, -4 in ascending order.
-4, -2/9, 3, z
Suppose -3*c = -2*a + 2*c, 2*a - 2*c = 6. Let k(j) = 3*j. Let v be k(1). Sort a, v, -2 in increasing order.
-2, v, a
Let u = -42 - -42. Suppose 2*z + 0*z - 6 = 0. Put z, u, -2 in decreasing order.
z, u, -2
Suppose 0*t = 3*t + 9. Let x be 1/2 - t/(-4). Put x, 2/5, -1 in increasing order.
-1, x, 2/5
Suppose -n - 12 = f - 5*n, n + 12 = 4*f. Suppose -2*o + 4*o - 2*q - 8 = 0, f*q = -3*o + 12. Put 0, 0.5, o in increasing order.
0, 0.5, o
Let o(t) = t**2 - 9*t - 7. Let y be o(10). Sort y, -3/2, -7/3.
-7/3, -3/2, y
Suppose 2*i = -5*j + 29, j - 19 = -2*i - 2. Suppose 0 = y - 3*b + 13, -5*y + 6*b = 3*b + 29. Put 3, y, i in decreasing order.
i, 3, y
Let v be 7/2 + (-2)/(-4). Suppose -3*p + 3*r - 6 = -r, 2*r = 0. Sort v, -5, p.
-5, p, v
Let y = 20.5 - 21. Put -9, 1/4, y in descending order.
1/4, y, -9
Suppose j = -9*j + j. Sort j, 3, -3, -4 in decreasing order.
3, j, -3, -4
Let k = -14 - -14.5. Let j = 0 + -0.5. Put j, k, -0.4 in decreasing order.
k, -0.4, j
Let b be (-16)/9 + 2/(-9). Let x be (4 - 3)*(-2 + -3). Let s(g) = g - 2. Let h be s(4). Put b, x, h in increasing order.
x, b, h
Let t be 1/(1/(-4)*1). Suppose -2*p + 4*m + 4 = 0, -m + 6 = 3*p + 4*m. Sort -1, t, p in decreasing order.
p, -1, t
Let i = 25 + -21. Sort 1, i, 3 in increasing order.
1, 3, i
Suppose -5*x - 2 = -6*x. Sort -4, x, 5 in ascending order.
-4, x, 5
Let l = -22 + 26. Put 3, l, 2 in increasing order.
2, 3, l
Let p = -0.37 + -0.03. Sort 1, p, -0.01, -3 in descending order.
1, -0.01, p, -3
Suppose -2 = -b - 0. Suppose 5*k = 10 + 5. Sort -2, b, k in increasing order.
-2, b, k
Let h(i) = 2*i**3 + i**2 - 2*i - 1. Let b be h(2). Let j be (-1)/(-513)*(-558)/b. Let l = j + 8/45. Put -2, l, 4 in increasing order.
-2, l, 4
Let k be (36/8 - 0)*6. Suppose -23 = 5*d - i, k = -5*d + i - 2*i. Put d, 2/3, -0.3 in descending order.
2/3, -0.3, d
Let w = 10 + -14. Let v be -1 + 3 + 16/w. Sort 3, v, -3 in ascending order.
-3, v, 3
Let a(n) = -n - 2. Let d be a(-6). Suppose 2*z = z - d. Sort -3, 1, z.
z, -3, 1
Suppose -3*a + 4*w - 6 = 2*a, -a - 5*w - 7 = 0. Put 4, a, 2, 25 in ascending order.
a, 2, 4, 25
Let n = -14 + 20. Put -1, n, -2 in increasing order.
-2, -1, n
Let h(f) = -f**2 - 5*f - 1. Let l be h(-3). Suppose 0 = l*x - 0*x + 15. Put 4, x, -4 in descending order.
4, x, -4
Suppose -3*x - 11 = m, -3*m - 4*x - 10 = 3. Let h = 2.4 + -2. Let u = -1.4 + h. Sort u, -3/7, m.
u, -3/7, m
Let m = -2.4 - -2.6. Sort m, 15, -1.
-1, m, 15
Suppose 2*t + 7 = -1. Let j be 1/((-2)/32*-4). Suppose -j*v + 6 = 5*k - 0, v + 3*k + 2 = 0. Put -1, t, v in increasing order.
t, -1, v
Suppose 0 = 4*a + 5*m - 29, -3*a - 4 = -m - 2. Suppose -1 = -4*b + l, 5*l + 19 + a = 5*b. Sort 4, b, 0 in increasing order.
b, 0, 4
Let r = -19 - -23. Sort r, 1, 5, 0.
0, 1, r, 5
Let s be 34 - 4/(-6 + 4). Suppose 3*a + 4*r = 7*a - s, -13 = -5*a - 3*r. Let d(o) = o**3 + 7*o**2 + 7*o + 3. Let u be d(-6). Put u, a, -2 in descending order.
a, -2, u
Suppose -f = -1, 4*f + 7 - 3 = 2*o. Suppose 3*t + 8 = o*u, -6 = -0*u - 3*u. Let m be (42/(-70))/((-8)/(-10)). Sort m, -3, t in descending order.
t, m, -3
Let f(x) = 21*x + 14. Let c be f(-6). Let p be c/21 - 2/(-6). Let n = 3.02 + -3. Put p, n, 0.4 in descending order.
0.4, n, p
Suppose 1 = 3*j - 4*z + 8, -5*j - 27 = z. Let t be -7 - j - (-4 + -1). Put 1, -2, t in descending order.
t, 1, -2
Suppose t + 15 = 6*t. Suppose 0 = n - g - t*g + 15, -3*g + 15 = 0. Suppose -2*u + 0 = 4, 3*u + 16 = 5*s. Put s, -3, n in decreasing order.
n, s, -3
Let u = 16 - 15.3. Let d = u - -0.2. Let c = -0.4 + d. Sort 4, c, -2.
-2, c, 4
Let s = 15 + -22. Let l = s + 11. Let m be -2*1*(-1)/3. Put 0.4, l, m in ascending order.
0.4, m, l
Let j = -0.009 + -3.591. Put j, 5, -0.5, 0 in decreasing order.
5, 0, -0.5, j
Suppose -f + 2*o = 5*o - 10, 3*f = 3*o - 30. Let a be 2/(6/4 - 2). Suppose -4*m = -10 - 10. Sort a, f, m.
f, a, m
Let u(i) = 2*i**2 + 2*i - 1. Let t be u(1). Suppose 0*a - 2 = -2*a. Put t, a, 5 in increasing order.
a, t, 5
Let v be (9/(-21))/(45/6). Sort -1, -0.2, v in decreasing order.
v, -0.2, -1
Let k be 2/(-4) - 10/(-4). Suppose 3 + 7 = -5*b. Sort k, -5, b.
-5, b, k
Let y be (-1)/2*(7 - 15). Sort -1, -4, y.
-4, -1, y
Let c = 96 + -191/2. Suppose -q = 4*w - 5*w + 4, 3*w = -q. Put q, -2, c in decreasing order.
c, -2, q
Suppose -5*n - 2 = 3. Let s(h) = -2*h**3 + 2*h + 1. Let i be s(n). Sort i, -1, 0 in decreasing order.
i, 0, -1
Let h be (2/10)/(11/55). Put -3, 0, h, -4 in increasing order.
-4, -3, 0, h
Let p(t) = -t - 5. Let a be p(-4). Let v be -2*(2 + -3)/a. Let m = -5 - v. Sort -1, 3, m in increasing order.
m, -1, 3
Let s = 6 + -19/3. Let f = 6 + -4. Suppose -h + f = -1. Sort h, s, -4/3 in descending order.
h, s, -4/3
Let t = -70 + 77. Let j = 0.9 + 0.1. Sort t, j, -0.5 in descending order.
t, j, -0.5
Let x = -14 + 16. Let u be 60/14 - (-6)/(-21). Suppose 5*g - u = 4*g. Put -5, x, g in descending order.
g, x, -5
Let i(z) = -z**2 + 5*z + 2. Let v be i(5). Sort v, -4, 3 in descending order.
3, v, -4
Let c = -6 - -6. Suppose -5*q - 4 - 1 = c. Suppose 5*h - 3 - 2 = 0. Sort q, 3, h.
q, h, 3
Let l = 13 + -92/7. Let z = -0.04 - 0.46. Put 3, l, z in decreasing order.
3, l, z
Let r(t) = t**2 - 5*t - 1. Let g be r(6). Put -5, g, 3 in ascending order.
-5, 3, g
Let d = -5 - -10. Suppose 2*n - 4*n = 2*p, -d*n + 15 = 2*p. Sort p, 4, -4.
p, -4, 4
Let v = -12.27 + 0.27. Let z = -14 - v. Let h = -3 + 2.8. Sort h, 0.2, z.
z, h, 0.2
Let t(i) = 14*i**2 - 4*i - 3. Let y be t(-1). Sort 2, 3, -2, y in increasing order.
-2, 2, 3, y
Let r = 0.6 + -0.7. Suppose -q = 3*q. Suppose 3*p + p = q. Sort 1, p, r in increasing order.
r, p, 1
Let z = -55 - -50. Sort z, 2, -1, -4 in decreasing order.
2, -1, -4, z
Let k = -123.3 + 123. Let v be 2/(-3) - 5/(-6). Put -4, v, k in decreasing order.
v, k, -4
Let t = -526 - -526.1. Let l = -389/3 + 131. Put -5, l, t in decreasing order.
l, t, -5
Let d be 4/18 - (60/27)/4. Let r = -0.1 - -0.2. Put d, 0, r in descending order.
r, 0, d
Let k be ((-15)/(-10))/((-1)/2). Sort k, -2, 2 in descending order.
2, -2, k
Let k = 335/4 + -83. Put -0.5, -2/27, k in descending order.
k, -2/27, -0.5
Let c = 11 - -1. Let w = 8 - c. Let y = 17 - 17.4. Sort w, 3, y.
w, y, 3
Suppose 536 = 5*l - 3*l - 3*y, 3*l - 3*y - 798 = 0. Let s = 2362/9 - l. Let v = -5 + 7. Sort v, 3, s in decreasing order.
3, v, s
Let y be 18/15*(-4 + 14). Suppose 3*j + j = y. Sort j, -2, 5 in descending order.
5, j, -2
Let i be 10/25 + (-8)/(-5). Suppose -2*s - 5 - 1 = 0, -i*r - 13 = 3*s. Let u = -2 - r. Sort u, -5, -4.
-5, -4, u
Let c(k) = -7*k - 5. Let p be c(-1). Put -9, -5, p in increasing order.
-9, -5, p
Let y = -21 - -20.86 | {
"pile_set_name": "DM Mathematics"
} |
.3 - 1.369?
-1.669
What is 0.01227 minus 0.02?
-0.00773
What is -18.812 plus -0.143?
-18.955
What is 1 minus -872?
873
What is 4.6 take away -11.3?
15.9
-1 + -95
-96
What is 0.3 minus 235?
-234.7
Add together 0.9 and 1127.
1127.9
Calculate -1.578 - -1.2.
-0.378
Subtract 1 from -59.
-60
What is -29 less than -75555?
-75526
Put together 4 and -18.74.
-14.74
What is -15300 take away 1.5?
-15301.5
Sum -10076113 and -3.
-10076116
Subtract -1777 from -0.14.
1776.86
Add -15583 and -70.
-15653
Sum -0.148 and -245.9.
-246.048
Add -14.08 and 0.9.
-13.18
What is -0.5 less than 1411?
1411.5
Add 27.37482 and 5.
32.37482
-2+2530869
2530867
What is 4 - 2827742?
-2827738
What is -26.892 - 5?
-31.892
0.5 - 883.321
-882.821
Put together 3 and -4.5.
-1.5
Put together -1.1312 and 0.6.
-0.5312
What is -0.5 less than 0.414?
0.914
What is 0 - 2.9958?
-2.9958
Calculate 0.85 - -1.35.
2.2
What is the distance between -1024.48 and -5?
1019.48
What is -0.084 take away -1359.9?
1359.816
Work out -0.0159 + -4.
-4.0159
Sum 0.4 and 614254.
614254.4
What is the distance between -26340 and 263?
26603
937 - 0
937
What is -6 minus 952?
-958
What is the distance between -23.8 and 325?
348.8
Work out -2062300 - -2.
-2062298
What is -0.01958 minus -187?
186.98042
What is the distance between 0.971 and 0.0336?
0.9374
What is -0.3 + 80799?
80798.7
What is -5436 minus 608?
-6044
Calculate -0.12 + 41164.
41163.88
Sum 0.23 and 0.1786.
0.4086
Subtract -21.068 from -5.
16.068
Put together -423.1 and -0.2.
-423.3
0.4 - -9.7718
10.1718
What is -89912 - 0.3?
-89912.3
Subtract -11.2 from -0.347.
10.853
Subtract -4 from 0.0325.
4.0325
Work out 2.6 + -131071.
-131068.4
Calculate 700 - 0.1.
699.9
-0.28+1.9
1.62
What is the distance between 18 and 5795?
5777
What is -1.31 take away -1.09?
-0.22
1.6 - 7.08066
-5.48066
What is 0.4 - 236?
-235.6
What is -180 - 0.1317?
-180.1317
Work out 29.5 + -47.
-17.5
What is 2.001 take away 0.1?
1.901
What is the difference between 705 and -1?
706
What is the difference between -1 and 171.8?
172.8
Calculate 115305 + 0.7.
115305.7
Add together -14 and -255.3.
-269.3
Calculate 75504 - 6.
75498
What is -0.3 minus 1.21?
-1.51
Total of -44 and 0.030826.
-43.969174
Add 39 and -1441.
-1402
Calculate -5002 - 0.5.
-5002.5
Total of -0.825 and -3.
-3.825
What is 265 less than 0.022?
-264.978
Total of 1.53 and 0.6.
2.13
Total of 174 and 4.35.
178.35
Subtract 19.825 from 0.01.
-19.815
Calculate 4 + 0.116.
4.116
Add together -1 and 2925.
2924
What is 230 - -134.5?
364.5
What is -1794 + -1.4?
-1795.4
Work out -0.06 + 297.
296.94
Sum -2.5 and 0.0015.
-2.4985
Subtract -28 from -483.
-455
0+-955594
-955594
Add 0.2 and -166.21.
-166.01
Total of 1672.6 and 0.3.
1672.9
What is -0.5 plus 43744?
43743.5
Work out 266 - -1.4.
267.4
Calculate 42.764 - -1.
43.764
Add -28757 and 5.
-28752
0.2 - 1417
-1416.8
What is 3 take away 154845?
-154842
What is -0.38254 minus 0.1?
-0.48254
Total of 37890.4 and 0.5.
37890.9
-0.062+55
54.938
Calculate 40 + 0.72526.
40.72526
What is the difference between 2767337 and 0?
2767337
What is -252.3 plus 3.3?
-249
What is -119.97 plus 5?
-114.97
What is 3 - -278.3?
281.3
Total of -447 and -4.03.
-451.03
Calculate 479 + 9.27.
488.27
What is 1.06 - 90?
-88.94
What is the difference between -34 and -142?
108
What is -27.3 - 0.01?
-27.31
What is 0.0109 less than -24.2?
-24.2109
What is -0.357 less than 241?
241.357
What is the distance between -1835 and -39?
1796
Sum 23.9 and 52.
75.9
-0.2294+0.02
-0.2094
Calculate 2.72 - 12.
-9.28
30.748+-2
28.748
What is 0.3922 less than -19?
-19.3922
Work out -22 - -30.
8
Total of 2.7 and -25764.
-25761.3
What is 31 take away 2254?
-2223
Put together -0.32 and 16.211.
15.891
Add together -1.17 and 9964.
9962.83
Put together -2237 and -3.
-2240
Sum -0.4 and 0.437.
0.037
Work out -20 - -2.6572.
-17.3428
Put together -159 and -0.066.
-159.066
Put together -160 and 20.
-140
Work out 0.5 + -43149.
-43148.5
196115+0.3
196115.3
Calculate -66.8 - 3.
-69.8
What is -3 take away -118.5?
115.5
What is the distance between 2.719 and -2?
4.719
What is -10.1225 plus 1?
-9.1225
What is -1823 + -0.3?
-1823.3
Put together -0.008 and -8977.
-8977.008
Add together 333400 and 0.5.
333400.5
What is -140 plus -74?
-214
Add together 0.12 and -2.866.
-2.746
Subtract 0.77 from -0.32.
-1.09
Put together 0.02069 and -3.
-2.97931
What is 0.024 - 3633?
-3632.976
What is 0.047 - 2.2?
-2.153
Calculate -0.93 + 20558.
20557.07
Sum 2.6098 and 36.
38.6098
What is -79 less than 0.85966?
79.85966
What is -5 less than -3049?
-3044
Add 1 and 32.7.
33.7
Total of -3 and 0.
-3
4 - -250364
250368
Subtract 1234 from -0.3.
-1234.3
What is 0 take away 5.335?
-5.335
Work out -296 - -5.
-291
-2+-18402
-18404
Subtract 1.1 from -8692.
-8693.1
What is -15 plus -23865?
-23880
Work out 0.2 - 15936.3.
-15936.1
What is -238.5 + 491?
252.5
What is -6 + -0.2606?
-6.2606
Work out 3 + 223.
226
What is 0.688 less than -0.2?
-0.888
Total of -0.0427 and 3.
2.9573
Calculate 714 - 53.
661
What is 25 + 484?
509
Subtract -9 from 976.
985
Work out -12.136 + -5.
-17.136
What is 0.9 - -132?
132.9
What is 16 minus 110?
-94
Calculate -23302 - 2.
-23304
Add 1.5 and -674.
-672.5
Calculate 2 + -3.35.
-1.35
What is -1.1 - 48.0035?
-49.1035
What is -4 - -69.27?
65.27
Sum 0.0579 and -158.
-157.9421
Add together -0.1 and -1.658.
-1.758
-2191 + 45
-2146
Calculate -836 - -162.
-674
0 + -49.2
-49.2
What is -0.001 - -1.713?
1.712
-15842 - -62
-15780
40.8104 + -0.07
40.7404
Calculate -0.3 - 289312.
-289312.3
What is the distance between -2151 and -0.08?
2150.92
Sum 17.84 and -0.071.
17.769
-12172.87+-1
-12173.87
What is -0.4 - 1066?
-1066.4
What is -1.37 + 3?
1.63
Calculate -0.2152 - -304.
303.7848
5+-453078
-453073
What is 0.05 take away -0.124?
0.174
Put together -2 and 1122.
1120
What is 3.834 + -3?
0.834
What is the distance between 10 and 3.44?
6.56
Work out -43263 - 1.
-43264
Sum -0.5 and 3.38.
2.88
Sum -7 and -36.42.
-43.42
What is -210127 - 0.1?
-210127.1
Subtract 12450 from -4.
-12454
Calculate -153.9 - 57.2.
-211.1
Add -4 and -19478.
-19482
Add -59.5414 and 0.4.
-59.1414
-199.4 + 83
-116.4
Sum -0.3 and -123076.
-123076.3
Sum -462 and -1.
-463
Calculate 4407.2 - -0.66.
4407.86
Work out -2531 - -18.1.
-2512.9
Subtract 0.04 from 0.0876.
0.0476
-7.7 - -1.049
-6.651
What is -0.4 plus -0.09554?
-0.49554
What is -7 + -10857?
-10864
What is 12.3757 plus 106?
118.3757
Sum -12.8 and 29.
16.2
Work out 1283 - -3574.
4857
What is the distance between 1 and 51805?
51804
Subtract 521 from -51.
-572
Total of 956 and -1.34.
954.66
Calculate 50 + 394.
444
-5 - 2185.6
-2190.6
Add together -0.3 and 60.9.
60.6
What is 1.42 + 145?
146.42
Total of -5 and -11.5.
-16.5
Add 200 and -0.02.
199.98
What is -49.839 take away 8?
-57.839
Sum -5.1099 and 2.
-3.1099
What is -13.7 + 21?
7.3
Calculate -28.157 - 0.
-28.157
Sum -3 and 2758.
2755
What is -209 minus -12?
-197
-9812 + -5
-9817
What is 2795.84 plus -3?
2792.84
What is 0.07 - -3.766?
3.836
What is the distance between 252 and 2206?
1954
What is -1.26 less than 0.5?
1.76
What is the distance between 6 and -279?
285
Sum -52554 and -1.
-52555
Subtract -918.6 from -743.
175.6
What is -1383 take away 4?
-1387
What is 885.8 less than -47?
-932.8
Add together -54634 and 62.
-54572
Put together 882.01 and -24.
858.01
What is 5.9 + -2?
3.9
What is 8228 less than 10?
-8218
What is 1.5159 + -4?
-2.4841
What is the distance between -623 and -9482?
8859
Calculate -10454 + -0.86.
-10454.86
What is -152733 minus 1?
-152734
56 - 3901
-3845
Calculate -0.4 - 5.006.
-5.406
Add 0.7 and -3.18586.
-2.48586
What is the distance between -415 and 0.1?
415.1
What is the difference between -0.0430047 and 0.2?
0.2430047
Subtract 361 from 0.03.
-360.97
What is -3.08 minus -0.095?
-2.985
What is 0.02892 take away 2?
-1.97108
Add together -28 and -0.13872.
-28.13872
Subtract -12 from 182.
194
What is -685.95 minus -0.4?
-685.55
Work out -1 - 18604.7.
-18605.7
What is -26384 less than 13?
26397
What is 74 take away 242?
-168
What is 0.28 plus 9569?
9569.28
Calculate 4910 + -0.4.
4909.6
Calculate 873.2 + -0.167.
873.033
What is -576.994 take away -1?
-575.994
What is 2.2 take away 382?
-379.8
Calculate -0.1 - 0.0057.
-0.1057
What is -271.8 + -80?
-351.8
Total of -5 and -842802.
-842807
What is -0.034 le | {
"pile_set_name": "DM Mathematics"
} |
07
Let t(u) = 309*u + 26888. Determine t(-87).
5
Let y(n) = -3*n**3 + 438*n**2 + 4183*n - 11. What is y(-9)?
7
Let p(y) = -432*y**2 - 2081*y - 7. Determine p(-5).
-402
Let z(l) = 71806*l + 4595587. Determine z(-64).
3
Let v(s) = 11454*s - 57273. Determine v(5).
-3
Let b(s) = -11*s**3 - 6*s**2 + 216*s - 417. Calculate b(2).
-97
Let l(w) = -5*w**2 + 19234*w - 382702. Determine l(20).
-22
Let v(d) = -4*d**3 + 29*d**2 + 137*d - 364. Give v(10).
-94
Let j(x) = x**2 + 709*x - 87395. Give j(107).
-83
Let k(r) = -591*r**2 - 56739*r - 310. What is k(-96)?
-22
Let k(u) = -898*u + 34916. Give k(39).
-106
Let g(z) = -3742*z**2 + 299350*z + 789. Determine g(80).
-11
Let b(y) = 4489*y + 5181. Calculate b(-1).
692
Let p(l) = 25*l**2 + 2429*l - 821. Determine p(-97).
-1209
Let q(c) = 423*c - 3773. Determine q(6).
-1235
Let t(y) = 2*y**2 - 602*y - 7546. Give t(313).
-34
Let p(l) = -2*l + 155. Calculate p(111).
-67
Let s(o) = -o**2 - 1523*o + 9174. Calculate s(6).
0
Let i(m) = -5*m**2 - 14690*m - 44016. Calculate i(-3).
9
Let i(h) = h**3 - h**2 - 31*h - 6. Calculate i(-4).
38
Let a(q) = -12*q**2 + 128*q - 235. Give a(6).
101
Let t(i) = 41675*i - 16878388. What is t(405)?
-13
Let w(j) = -2*j**2 - 747*j - 14810. Calculate w(-21).
-5
Let i(t) = -3*t**2 - 471*t + 49427. Determine i(-229).
-37
Let q(j) = -38*j**3 + 635*j**2 - 2164*j + 16. Calculate q(12).
-176
Let v(f) = -f**3 - 22*f**2 + 388*f + 2181. Determine v(-32).
5
Let n(d) = -1787*d - 28545. Calculate n(-16).
47
Let m(v) = -v**2 - 44*v + 807. Calculate m(20).
-473
Let n(d) = -3*d**3 + 39*d**2 + 311*d - 4033. Give n(13).
10
Let m(t) = 284*t - 23144. Determine m(89).
2132
Let m(r) = -5633*r + 642167. Give m(114).
5
Let i(y) = y**3 - 31*y**2 - 172*y + 1891. Give i(6).
-41
Let x(t) = -77*t**2 - 8776*t + 247. What is x(-114)?
19
Let v(u) = -18256*u + 118. Calculate v(0).
118
Let n(x) = -2*x**3 - 404*x**2 + 22817*x - 291. Calculate n(-248).
-539
Let y(v) = -4*v**2 + 475*v + 4587. Determine y(-9).
-12
Let x(q) = -q**2 - 14263*q - 14260. Give x(-1).
2
Let j(l) = -571*l + 4009. Calculate j(8).
-559
Let h(d) = 26*d**2 + 17359*d + 28638. Determine h(-666).
0
Let v(x) = 10683*x - 341774. Calculate v(32).
82
Let u(p) = 417*p**2 - 552522*p - 3954. Calculate u(1325).
21
Let u(o) = -2*o**2 + 22980*o + 621922. What is u(-27)?
4
Let t(q) = 2*q**3 + 84*q**2 - 13*q + 5. Determine t(-5).
1920
Let w(i) = i**2 + 192*i - 2876. Determine w(14).
8
Let u(s) = 16*s + 488. Calculate u(-5).
408
Let i(c) = 523*c + 6276. Calculate i(-10).
1046
Let i(p) = -2*p**3 + 100*p**2 - 177*p - 508. Calculate i(48).
212
Let k(y) = 79*y - 19412. Determine k(211).
-2743
Let s(v) = -52*v**2 - 6896*v - 41360. Calculate s(-6).
-1856
Let w(x) = x**3 - 3*x**2 + 931*x - 1854. What is w(2)?
4
Let k(s) = 4249*s - 356926. Give k(84).
-10
Let w(b) = -47*b**3 + 133*b**2 + 34*b - 34. Determine w(3).
-4
Let p(m) = -6*m**2 - 3657*m + 25905. Determine p(7).
12
Let m(r) = 2*r**2 + 565*r + 6576. What is m(-271)?
343
Let s(a) = a**2 + 241*a + 13440. What is s(-156)?
180
Let c(l) = -2*l**2 + 210*l - 3897. What is c(27)?
315
Let b(z) = -2*z**2 - 255*z - 6281. Determine b(-94).
17
Let c(x) = x**3 - 88*x**2 - 2288*x + 86. Determine c(-21).
65
Let g(u) = -6948*u - 48636. What is g(-7)?
0
Let l(w) = 22*w**2 - 875*w + 308. Calculate l(39).
-355
Let k(i) = 33*i**2 + 28*i + 41. What is k(-7)?
1462
Let m(n) = -4*n**3 - 18*n**2 + 7218*n + 28910. Determine m(-4).
6
Let k(d) = 12912*d + 8057089. Calculate k(-624).
1
Let d(h) = -3*h**3 - 35*h**2 + 115*h + 782. Calculate d(-13).
-37
Let c(w) = w**2 - 75*w - 3033. Give c(26).
-4307
Let q(b) = 853*b + 6992. Determine q(-8).
168
Let x(m) = 3*m**3 + 102*m**2 - 58*m - 5423. Determine x(-33).
-242
Let q(o) = 3*o**3 + 157*o**2 + 71*o + 242. Determine q(-52).
-746
Let c(r) = -r**3 - 62*r**2 - 572*r - 1263. Determine c(-7).
46
Let g(w) = 732*w + 6774. Determine g(-9).
186
Let b(r) = 189*r - 8601. Calculate b(51).
1038
Let y(l) = -223538*l + 1341218. Calculate y(6).
-10
Let y(d) = -d**3 - 73*d**2 + 729*d + 118. Determine y(-82).
856
Let t(w) = -5032*w - 64573. What is t(-13)?
843
Let g(y) = 187298*y - 7866544. Determine g(42).
-28
Let g(u) = 7*u**2 - 735*u + 18190. What is g(40)?
-10
Let a(q) = -2467*q**2 + 19743*q + 8. Determine a(8).
64
Let k(n) = 266*n**3 - 2653*n**2 - 59*n - 101. Calculate k(10).
9
Let k(s) = 133*s**2 - 5074*s + 766. Calculate k(38).
6
Let f(l) = -12950*l - 1269091. Calculate f(-98).
9
Let s(a) = 9*a**3 + 127*a**2 - 109*a - 868. Calculate s(-14).
854
Let q(d) = -969162*d + 4845821. Give q(5).
11
Let t(v) = v**3 - 70*v**2 - 638*v + 35583. Give t(72).
15
Let s(n) = -102*n**2 + 85*n + 13279. What is s(-11)?
2
Let k(t) = t**3 - 30*t**2 - 579*t + 17830. Give k(27).
10
Let t(v) = -19*v**2 - 53*v + 6576. Calculate t(-20).
36
Let f(x) = -7494499*x + 52461489. Give f(7).
-4
Let j(u) = -4220*u + 62795. Determine j(15).
-505
Let v(u) = u**3 - 90*u**2 + 1140*u - 3642. Determine v(5).
-67
Let c(h) = -h**3 - 269*h**2 + 276*h + 1622. Give c(-270).
2
Let a(z) = -z**3 + 10*z**2 + 171*z + 1274. Calculate a(21).
14
Let f(x) = -127*x**2 + 14141*x + 9278. What is f(112)?
-18
Let g(n) = -378*n + 780. What is g(4)?
-732
Let s(d) = -2*d**3 - 129*d**2 - 122*d + 4792. Give s(-63).
571
Let d(y) = -667*y**2 - 3346*y + 196. Give d(-5).
251
Let r(o) = -9369*o - 46814. What is r(-5)?
31
Let h(s) = 1466*s + 2972. Calculate h(-2).
40
Let o(t) = 34928*t - 104798. Give o(3).
-14
Let l(h) = -2338*h + 63008. What is l(27)?
-118
Let r(i) = -i**3 - 265*i**2 - 11077*i - 254. Determine r(-213).
-41
Let y(p) = -530*p + 35541. Determine y(67).
31
Let z(b) = 447*b - 21284. What is z(47)?
-275
Let y(j) = 8236*j**2 - 32941*j - 6. Give y(4).
6
Let v(z) = -1424*z - 78217. Calculate v(-55).
103
Let t(p) = p**3 - 389*p**2 + 2287*p + 4196. Calculate t(383).
-17
Let y(a) = -a**3 - 13*a**2 - 154*a - 2536. Determine y(-22).
5208
Let k(v) = 6*v**3 - 30*v**2 + 318*v + 1252. Calculate k(-3).
-134
Let z(c) = -30106*c - 2468687. Calculate z(-82).
5
Let x(w) = -24*w**2 + 15*w + 40. Give x(4).
-284
Let d(c) = 542*c + 20920. What is d(-39)?
-218
Let d(q) = 41*q**2 + 2587*q - 11002. Give d(4).
2
Let u(v) = 29*v - 3830. Determine u(122).
-292
Let y(v) = v**3 - 2*v**2 - 34*v + 95. Give y(-6).
11
Let g(r) = -7*r**2 - 245738*r - 737224. Give g(-3).
-73
Let n(s) = s**3 + 58*s**2 - 9384*s + 1720. Calculate n(72).
-8
Let i(n) = -962*n + 43065. Give i(45).
-225
Let o(q) = -3*q**3 - 2*q**2 - 26*q + 43. Calculate o(-5).
498
Let b(k) = k**3 + 41*k**2 - 29*k + 403. Calculate b(-42).
-143
Let s(k) = 73*k**2 - 521*k + 504. Calculate s(6).
6
Let n(f) = 7*f**2 - 1249*f + 36204. What is n(142)?
-6
Let g(r) = 2929*r**2 - 11717*r + 10. What is g(4)?
6
Let d(k) = -7*k**3 + 1892*k**2 - 9787*k - 4770. Calculate d(265).
0
Let d(q) = 17*q**2 + 2334*q + 11251. Give d(-5).
6
Let a(h) = 3*h**3 - 106*h**2 + 69*h - 288. Determine a(35).
902
Let q(t) = t**3 - 55*t**2 - 55*t + 5900. Determine q(54).
14
Let a(n) = -8*n**3 + 76*n**2 + 146*n + 10. Determine a(11).
164
Let m(u) = -306*u - 871. Determine m(-5).
659
Let z(d) = 33*d**3 + 3962*d**2 + 232*d - 1099. Calculate z(-120).
-139
Let a(h) = 63*h**2 - 575*h - 1155. Calculate a(-2).
247
Let j(t) = 148*t**2 - 3072*t + 7341. What is j(18)?
-3
Let a(b) = -140*b + 4564. Calculate a(40).
-1036
Let c(a) = -2435*a - 30763. What is c(-13)?
892
Let i(d) = 2*d**3 + 28*d**2 - 187*d + 66. Calculate i(-19).
9
Let w(u) = 9*u**2 - 235*u + 618. Give w(3).
-6
Let t(a) = 12*a**3 - 2953*a**2 + 14700*a + 238. What is t(241)?
-3
Let o(d) = 3*d**3 - 729*d**2 + 1510*d - 15548. Determine o(241).
-124
Let i(o) = -204*o**3 + 12446*o**2 - 127*o + 313. Calculate i(61).
8
Let p(g) = 784*g + 5936. Calculate p(-7).
448
Let h(d) = 29*d**3 - 259*d**2 - 1311*d + 3. Give h(-5).
-3542
Let i(z) = 2*z**2 + 96*z - 5117. Calculate i(32).
3
Let o(s) = -2*s**3 + 171*s**2 - 665*s + 7460. Determine o(82).
-2
Let o(q) = 3667*q - 355701. What is o(97)?
-2
Let p(b) = -7582*b - 90955. What is p(-12)?
29
Let y(c) = -c**3 - 88*c**2 - 1152*c + 3901. What is y(-71)?
-4
Let f(c) = 64254*c + 1542100. Give f(-24).
4
Let q(c) = 837252*c + 18419550. Determine q(-22).
6
Let q(j) = 24750*j + 32026504. Give q(-1294).
4
Let c(j) = -13345*j - 17395. What is c(-1)?
-4050
Let w(h) = 268*h**2 + 3078*h - 35. What is w(-12)?
1621 | {
"pile_set_name": "DM Mathematics"
} |
- 65 = 5*w - 88. Let b(h) = -2*h + 11. Calculate a*b(o) - 5*n(o).
o - 3
Let c(j) = -10*j**2 - j + 2. Let a(r) = 41*r**2 + 7*r - 3621. What is a(w) + 4*c(w)?
w**2 + 3*w - 3613
Let g(b) = -51*b - 502. Let p(t) = -6*t - 1. What is g(w) - 8*p(w)?
-3*w - 494
Let b(z) = z**3 - 17*z**2 + z - 1. Let u(t) = 4*t**3 - 441*t**2 + 3*t - 5. What is 5*b(q) - u(q)?
q**3 + 356*q**2 + 2*q
Let x(h) = 411*h**3 - 45*h**2 - 288. Let d(u) = 82*u**3 - 9*u**2 - 60. Give 24*d(m) - 5*x(m).
-87*m**3 + 9*m**2
Let v(r) = -819*r**3 - 3*r**2 + 6*r - 6. Let z(g) = -g**2 + 2*g - 2. Give -v(f) + 3*z(f).
819*f**3
Let y(i) = 4*i + 1. Let o(g) = 103*g**2 + 26*g + 1. Give o(s) - 6*y(s).
103*s**2 + 2*s - 5
Let l(s) = -20*s - 22. Let j be l(-1). Let r be 9 + (j - -1) - 6. Let d(f) = 3*f + 13. Let y(z) = z + 4. Calculate r*d(w) - 7*y(w).
-w - 2
Let r(v) = -14*v - 32. Let u(d) = -7*d - 22. What is 2*r(b) - 5*u(b)?
7*b + 46
Let h(u) = -808*u**2 - 10*u - 10. Let v(j) = 2424*j**2 + 32*j + 32. Determine -16*h(y) - 5*v(y).
808*y**2
Let q(d) = -5577*d + 432. Let f(o) = 7436*o - 562. Give -10*f(l) - 13*q(l).
-1859*l + 4
Let z(i) = 7*i**2 + 5*i. Let u(r) be the third derivative of 1/60*r**5 + 1/24*r**4 + 13*r**2 + 0*r**3 + 3 + 0*r. Calculate -20*u(m) + 4*z(m).
8*m**2
Let h(c) = 3235*c + 9. Let y(f) = 25*f - 3. Determine -h(o) - 3*y(o).
-3310*o
Let t = 10905 - 10899. Let s(b) = -11*b**3 + 5*b**2 - 2*b + 3. Let z(j) = -12*j**3 + 6*j**2 - 2*j + 3. Calculate t*z(g) - 7*s(g).
5*g**3 + g**2 + 2*g - 3
Let a be (5 + 0/(-1))/(-1). Let j(q) = -q + 11. Let y(r) = 3*r - 23. Suppose -1505 + 1561 = -28*p. Determine a*j(w) + p*y(w).
-w - 9
Let k(c) be the first derivative of c**2 + 5*c - 75. Let l(s) be the second derivative of s**3/6 + s**2 + 25*s. Calculate 4*k(b) - 9*l(b).
-b + 2
Suppose -11 = 37*d + 26. Let a(s) = -1. Let g(h) = -7*h**2 - 13*h + 1. Let t(k) = 4*k**2 + 7*k. Let c(f) = -6*g(f) - 11*t(f). Calculate d*c(r) + 4*a(r).
2*r**2 - r + 2
Let y(a) = -3*a**3 - 4*a**2 + 22. Let w(t) = 4*t**2 + 1. Give w(q) - y(q).
3*q**3 + 8*q**2 - 21
Let t(k) = -68*k - 102. Let s(v) = 17566*v - 1 - 5860*v - 5855*v - 5852*v. Calculate -102*s(i) + t(i).
34*i
Let i(f) = -5*f + 2. Let x(o) = 53622*o - 19860. Determine 9930*i(b) + x(b).
3972*b
Let s(q) = -6*q**2 - 11*q. Let w(h) be the third derivative of -h**6/120 + h**5/12 + 5*h**4/12 + 817*h**2 + 2. Give -5*s(l) - 6*w(l).
6*l**3 - 5*l
Let i(l) = -3*l**2 - 2619*l - 3. Let j(n) = 4*n**2 + 2618*n + 4. Give -3*i(w) - 2*j(w).
w**2 + 2621*w + 1
Let o(i) be the first derivative of 3*i**4/4 - 5*i**3/3 - 3*i**2/2 + 4*i - 115. Let w(h) = h**3 - 2*h**2 - h + 2. Calculate -2*o(q) + 5*w(q).
-q**3 + q + 2
Let b(u) = -6237792*u**2. Let v(l) = -4219*l**2. Determine -5*b(s) + 7392*v(s).
2112*s**2
Let n = 3 - 12. Let p(r) = 16 + 7*r - 107 + 18 + 16 + 35 + 20. Let c(g) = 27*g - 9. Calculate n*p(a) + 2*c(a).
-9*a
Let h(l) = 29359*l**2 + 33*l + 33. Let f(v) = -1835*v**2 - 2*v - 2. Determine 33*f(c) + 2*h(c).
-1837*c**2
Let u(n) = -16*n. Let p(t) = -55*t - 12. Let f(z) = -4681*z - 1023. Let d(o) = -4*f(o) + 341*p(o). Give -6*d(g) + 13*u(g).
-22*g
Let u(n) = -27*n**2 + 13*n + 2. Let m(k) = -13*k**2 + 6*k + 1. Let t be (65/(-13))/((-3)/(-5)) + (-4)/(-3). Give t*m(x) + 3*u(x).
10*x**2 - 3*x - 1
Let f = 2147 + -2144. Let i(l) = -l + 1. Let u(h) = -3*h - 2. What is f*i(y) + u(y)?
-6*y + 1
Let w(m) = -223*m - 3. Let n(c) = -13*c. What is 12*n(f) - 3*w(f)?
513*f + 9
Let u(r) be the first derivative of 5*r**3/3 + r**2/2 + 6*r + 1168. Let s(w) = 14*w**2 + 4*w + 17. What is -4*s(f) + 11*u(f)?
-f**2 - 5*f - 2
Let c(z) = 2*z**3 + 2*z**2 - 9*z - 6. Let g(x) be the third derivative of x**6/30 + x**5/15 - 17*x**4/24 - 11*x**3/6 - 1747*x**2. What is 11*c(y) - 6*g(y)?
-2*y**3 - 2*y**2 + 3*y
Let n(c) = -2*c - 6. Let v(p) = -472*p + 34. Give -6*n(i) - v(i).
484*i + 2
Let w(s) be the first derivative of s + 7. Let o(c) be the first derivative of -c**3/3 + 3*c**2/2 - 4*c - 69. Give -o(b) - 4*w(b).
b**2 - 3*b
Let y(k) = -246*k**3 + 12*k**2 + 3*k. Let a(d) = -2*d**2. Calculate -6*a(x) - y(x).
246*x**3 - 3*x
Let d(u) = 1125337*u + 14055. Let a(c) = 961*c + 12. Calculate 4685*a(m) - 4*d(m).
937*m
Let c(j) = 14*j**3 + 16*j**2 + 2*j + 1. Let g(f) = 27*f**3 + 31*f**2 + 5*f + 2. Calculate -5*c(y) + 2*g(y).
-16*y**3 - 18*y**2 - 1
Let r(d) = 11*d**2 - 73*d**3 + 70*d**3 - 6*d**2 - 39 + 3*d + 2*d. Let q(n) = -5*n**3 + 8*n**2 + 8*n - 58. Determine 5*q(g) - 8*r(g).
-g**3 + 22
Let m(o) = -2*o + 8. Let b(j) = 6*j - 23. Let i = 31 - 17. Let d(z) = -12*z - 11. Let w be d(-2). Suppose -w*p + i*p - 17 = 0. Calculate p*m(v) + 6*b(v).
2*v - 2
Let p(v) = -2*v**2 - 2*v - 1. Let w(n) = -93*n**2 + 6*n - 24. What is -4*p(g) - w(g)?
101*g**2 + 2*g + 28
Let w(a) = -11*a. Let m(u) = u. Let n(j) = -j. Let g(h) = 6*m(h) + n(h). Let k(o) = -2*o - 48. Let x be k(-9). Let s = x + 21. Calculate s*g(y) - 4*w(y).
-y
Suppose 4*f = -4*r + 24, -2*f = r - 4*r + 8. Let w(l) = 170 + 271 - 442. Let d(p) = 2*p + 1. Give r*w(a) - d(a).
-2*a - 5
Let i(v) = -8*v**3. Let r(d) = d**2 + 769*d - 10171. Let p be r(13). Let f(h) = -88*h**3. Let n = 105 + -49. Give n*i(c) + p*f(c).
-8*c**3
Let a(x) = -82*x**2 - 46*x + 42*x**2 + 9 + 41*x**2 - 20. Let q(h) be the first derivative of -9*h**2/2 - 2*h + 7. What is -2*a(w) + 11*q(w)?
-2*w**2 - 7*w
Suppose -5*b + 6*b + 10 = 0. Let w be (5/b)/(125/(-30) - -4). Let r(d) = -3*d**2 + 2. Let k(j) = -j**2 + 1. Determine w*r(c) - 6*k(c).
-3*c**2
Let g(x) = -6*x**2 - 550*x - 67. Let k(r) = 2*r**2 + 183*r + 19. Calculate -2*g(y) - 7*k(y).
-2*y**2 - 181*y + 1
Let x(g) = -g**3 + 3*g**2. Let f(z) = -4*z**3 + 9*z**2 + 696*z + 2. Determine -f(d) + 3*x(d).
d**3 - 696*d - 2
Suppose 82 = -15*g - 33 + 25. Let x(b) be the third derivative of -b**5/60 + b**3 - 5*b**2. Let c(o) = -2*o**2 + 7. Give g*c(a) + 7*x(a).
5*a**2
Let z(v) = 25*v + 4. Suppose 217 = -17*q + 200. Let n(u) = 1. Determine q*z(o) + 3*n(o).
-25*o - 1
Let t(i) = 6*i + 1. Let z(k) = -5*k - 1. Let c = 1989 - 1984. Calculate c*t(s) + 4*z(s).
10*s + 1
Let y(u) = u**3 - 6*u**2 + 15*u - 31. Let z = -510 + 514. Let j be y(z). Let m(s) = -1. Let d(t) = 9*t - 3. What is j*m(k) + d(k)?
9*k
Let z(h) = 3*h**3 - 6*h**2 + 2*h. Suppose -12*b = -12*b + 3*d, -3*b = 5*d + 18. Let i(f) = 3*f**3 - 5*f**2 + f. Give b*i(c) + 5*z(c).
-3*c**3 + 4*c
Let k(u) = -8*u**2 - 6*u - 1. Let q(i) = i. Suppose -25*t + 58 = 89 + 119. Let o(d) = -d. Let f be o(1). Determine f*k(p) + t*q(p).
8*p**2 + 1
Let p(y) = 19*y - 6*y + 20 - 17*y + 1. Let v(d) = 3*d - 20. Give -5*p(h) - 6*v(h).
2*h + 15
Let s(i) = 3*i**2 - 4*i - 4. Let d be 0 + ((-2)/1 - -4). Suppose -4*m - 15 = y, y + 7 = -d*m - 0*y. Let g(w) = w - 1 - 2 - 1 + 5. Calculate m*g(q) - s(q).
-3*q**2
Let r(p) = -15*p**2 - 9*p. Let v be r(3). Let z = -161 - v. Let f(k) = k**2. Let j(s) = 4*s**2 + 2*s - 3. Give z*j(c) - 2*f(c).
2*c**2 + 2*c - 3
Let o(u) = -u - 3. Let k = 64 + -67. Let v be 9/(((-17)/6 - k)*-3). Let j(p) = 4*p + 13. Give v*o(y) - 4*j(y).
2*y + 2
Let x(k) = 6737*k**2 + 32*k. Let v(t) = -192893784*t**2 - 916232*t. Give 4*v(y) + 114529*x(y).
6737*y**2
Let q(r) be the third derivative of r**5/60 - 5*r**4/24 + 5*r**3/6 - 66*r**2 + 2*r - 1. Let g(b) = -3*b**2 + 10*b - 11. Give -3*g(p) - 7*q(p).
2*p**2 + 5*p - 2
Suppose 0 = -3*a + 59 + 1. Let o = a - 15. Let g(n) = 11*n - 5. Let u(l) = 5*l - 2. Let x(y) = 3*g(y) - 5*u(y). Let t(z) = z - 1. Calculate o*t(v) - x(v).
-3*v
Let z(n) = 6*n**3 + 3*n**2 + 6*n - 2. Suppose -3*o = -2*b + 7, -314*o + 317*o + 5 = b. Let x(g) = -13*g**3 - 7*g**2 - 12*g + 4. What is b*x(y) + 5*z(y)?
4*y**3 + y**2 + 6*y - 2
Suppose 23 - 31 = 21*j + 97. Let m(w) = w + 4. Let z(h) = h + 3. Determine j*m(d) + 6*z(d).
d - 2
Let j(s) = 1. Let t(a) = 6*a - 12. Let p(y) = 3*y - 6. Let z(f) = -7*p(f) + 4*t(f). Let h(q) = -18*j(q) - 3*z(q). Let k(v) = 8*v. What is -4*h(x) - 3*k(x)?
12*x
Let t(a) = -a**2 - 23*a + 2. Let b(u) = -2*u**3 + 3*u**2 + 60*u - 131. Determine -b(j) - 2*t(j).
2*j**3 - j**2 - 14*j + 127
Let c(f) = -9845123*f**2 + 14072*f + 42216. Let j(r) = 3498*r**2 - 5*r - 15. Calculate 5*c(w) + 14072*j(w).
-1759*w**2
Let w(k) = k - 6. Let i(m) = 1. Let z = -9 - -12. Let h be 1 + 2 + (-2 - -3). Suppose -a = -v - 2, h*a - v - 1 = -4*v. Give a*w(n) + z*i(n).
n - 3
Let k(r) = -1. Let c(w) = 10707 - 10707 - 18*w. Determine -c(g) - 2*k(g | {
"pile_set_name": "DM Mathematics"
} |
base 15, what is 12 + ab2c?
ab3e
In base 13, what is 34a3 + 3?
34a6
In base 10, what is 53515 - -35?
53550
In base 15, what is -3007 + -bb?
-30c3
In base 15, what is -164ac6 + -1?
-164ac7
In base 15, what is 2 - -13eb?
13ed
In base 16, what is 1 + 192299?
19229a
In base 13, what is 656 - 6c?
5b7
In base 11, what is 0 - a0a6a?
-a0a6a
In base 13, what is 11 + 7046?
7057
In base 7, what is 1 + 4256051?
4256052
In base 6, what is 10 + -502034?
-502024
In base 13, what is 772 - -5?
777
In base 9, what is -87465 + 4?
-87461
In base 13, what is -1ca + -19?
-216
In base 4, what is 2232032 - 301?
2231131
In base 8, what is 50 - 2725?
-2655
In base 15, what is -2a + 5ae?
584
In base 11, what is 8 - -55923?
55930
In base 12, what is 1b90 - -8?
1b98
In base 3, what is 2 + -121121002?
-121121000
In base 10, what is 1344 + -27?
1317
In base 8, what is -31455 + 27?
-31426
In base 6, what is 12 - -135543?
135555
In base 7, what is -40505 - 4?
-40512
In base 15, what is 3 + -195bc?
-195b9
In base 15, what is 1ed - -728?
926
In base 9, what is 48653 + 7?
48661
In base 6, what is -1204 - 1123?
-2331
In base 12, what is 5 + -19894?
-1988b
In base 7, what is -133162451 - 1?
-133162452
In base 4, what is -13 - -212322?
212303
In base 14, what is -4b98 + -104?
-4c9c
In base 7, what is 15 - 143413?
-143365
In base 2, what is 1101110100001110 + -11?
1101110100001011
In base 11, what is -1532 + 72?
-1470
In base 3, what is -11020112010012 - 2?
-11020112010021
In base 13, what is 220a62 - 5?
220a5a
In base 10, what is 31 - 2508?
-2477
In base 12, what is 2 - -496b4?
496b6
In base 14, what is 2b1a + -4b?
2aad
In base 4, what is -12212 - -1022?
-11130
In base 11, what is 2 + -12278?
-12276
In base 2, what is 1010 - -1000101010101?
1000101011111
In base 7, what is -356 - -23?
-333
In base 15, what is -8 + -15b0?
-15b8
In base 2, what is 1100011010000001 - 1?
1100011010000000
In base 7, what is 1242 + -66?
1143
In base 15, what is -1c002c + -2?
-1c002e
In base 7, what is 6565 + -14?
6551
In base 5, what is -4 + 330032?
330023
In base 10, what is -6749 + 9?
-6740
In base 6, what is 0 - 1243134?
-1243134
In base 3, what is 12 - 101210?
-101121
In base 11, what is -107849 + 0?
-107849
In base 16, what is -a1b - -653?
-3c8
In base 14, what is 1764 - 0?
1764
In base 14, what is 2 + 3072?
3074
In base 9, what is 138244 - -5?
138250
In base 13, what is 9164bc + -5?
9164b7
In base 9, what is 580277 - 0?
580277
In base 6, what is -2 + -43334?
-43340
In base 3, what is 20 + 21021211201?
21021211221
In base 7, what is -2142105 - 2?
-2142110
In base 7, what is -1043 + 354?
-356
In base 5, what is -30321331 + 10?
-30321321
In base 6, what is -152420555 + 0?
-152420555
In base 8, what is 27 + 26417?
26446
In base 3, what is -200200101212 + -2?
-200200101221
In base 5, what is -343214 + -20?
-343234
In base 2, what is 11110000 + 1111111111110?
10000011101110
In base 11, what is -130260 - 4?
-130264
In base 10, what is -4 - -7421?
7417
In base 14, what is -128901 + 4?
-1288db
In base 5, what is -214 - 2432?
-3201
In base 2, what is -110 + -101110111011100000?
-101110111011100110
In base 14, what is 537b3 - 5?
537ac
In base 4, what is 3202220 + -102?
3202112
In base 8, what is 5050 - 207?
4641
In base 16, what is 1 - 1052a?
-10529
In base 6, what is 120304 + 2?
120310
In base 14, what is 2 + 26b20?
26b22
In base 11, what is 255 + -16?
23a
In base 8, what is -656 - -55?
-601
In base 11, what is 11222 - 1?
11221
In base 3, what is 2210100000 + -22?
2210022201
In base 12, what is -4 - -29494?
29490
In base 6, what is -31 + -133335?
-133410
In base 3, what is -22100202102 + 0?
-22100202102
In base 8, what is 277 + 1067?
1366
In base 11, what is 1 - 93a3?
-93a2
In base 2, what is -10001111110010 + 111011?
-10001110110111
In base 9, what is 10868 + -7?
10861
In base 11, what is -34 + -257?
-290
In base 2, what is 11 - -111100000000111?
111100000001010
In base 11, what is -17949 - 1?
-1794a
In base 4, what is -1223031 + 110?
-1222321
In base 13, what is 24c1 + 2?
24c3
In base 2, what is -111010000 + -1001?
-111011001
In base 2, what is -1011001010100 + -10011?
-1011001100111
In base 2, what is 10 - 101000101110100111?
-101000101110100101
In base 3, what is 2 - -2000020021?
2000020100
In base 3, what is 210200 + -21020021?
-20102121
In base 7, what is 1 - 434223?
-434222
In base 8, what is 11 + 2175?
2206
In base 10, what is -89965 + 2?
-89963
In base 7, what is 16 - -1451311?
1451330
In base 15, what is -7595a - -2?
-75958
In base 12, what is 371 - -65?
416
In base 11, what is 538001 + -5?
537aa7
In base 15, what is 2c8e - b?
2c83
In base 2, what is -11010111 - 11001101000?
-11100111111
In base 14, what is 63 + 34d2?
3555
In base 10, what is -1 - -119279?
119278
In base 2, what is 101100 + 1100111100001?
1101000001101
In base 12, what is -13 + -3088?
-309b
In base 12, what is 8b8bb - -4?
8b903
In base 11, what is -29 - 4536?
-4564
In base 3, what is 111 + 20122120?
20200001
In base 4, what is -2 - -3302331?
3302323
In base 5, what is -12341313 + 323?
-12340440
In base 8, what is -31 - 2053?
-2104
In base 6, what is 15 - -142335?
142354
In base 11, what is -4 - 54342?
-54346
In base 16, what is b3d + 2af?
dec
In base 14, what is 2 + 1d5b0d?
1d5b11
In base 2, what is 100001 + 1001100110?
1010000111
In base 11, what is 37 - 92?
-56
In base 2, what is 110111 - -101000100?
101111011
In base 4, what is 213 - -21201?
22020
In base 11, what is 298593 + 0?
298593
In base 15, what is -7 - 608?
-610
In base 3, what is 1012000010 + -11?
1011222222
In base 7, what is -1 + 104511?
104510
In base 14, what is ca + -191?
-a5
In base 3, what is -121022010021011 + 2?
-121022010021002
In base 11, what is 7 + -34a39?
-34a32
In base 15, what is 5 + -28b4?
-28ae
In base 16, what is -967 + -7?
-96e
In base 14, what is 1 - -56b1c?
56b1d
In base 14, what is 118bd + 8?
118c7
In base 7, what is 6 + -225433?
-225424
In base 9, what is -232218 - -1?
-232217
In base 4, what is 212 + -30021?
-23203
In base 7, what is -26 - -14324?
14265
In base 3, what is 1021 - -20102112?
20110210
In base 9, what is -207205 + 7?
-207187
In base 16, what is 4 - 15126?
-15122
In base 10, what is -21591 - 11?
-21602
In base 3, what is 0 + 2200112102?
2200112102
In base 2, what is 1010010 - -111110110110000?
111111000000010
In base 15, what is -49b9 + -2e?
-49e8
In base 9, what is 21 - 1450?
-1428
In base 2, what is -101 + 101001000001011000100?
101001000001010111111
In base 14, what is b79 + -132?
a47
In base 14, what is 27c5 - -56?
283b
In base 11, what is 61 - 495?
-434
In base 8, what is 5 - 606562?
-606555
In base 16, what is -99c + -18?
-9b4
In base 15, what is -572 + 2e?
-543
In base 11, what is 5 - 26849?
-26844
In base 14, what is 169c + -28?
1674
In base 2, what is 10001 + 1000000000101000000?
1000000000101010001
In base 8, what is 17 - -63315?
63334
In base 3, what is 22121 - 20?
22101
In base 9, what is -1327 - -21?
-1306
In base 12, what is -618 - -147?
-491
In base 4, what is 23320102 + -3?
23320033
In base 3, what is 1222101002 - -10?
1222101012
In base 12, what is -56a99 - -3?
-56a96
In base 4, what is -11 + 220223?
220212
In base 2, what is 10011111 - 11101011?
-1001100
In base 10, what is 3 - 40225?
-40222
In base 9, what is 1558 + 553?
2222
In base 6, what is 1220 - 1010?
210
In base 7, what is -3 - 2313635?
-2313641
In base 12, what is 2435 - 12?
2423
In base 9, what is -203 - 721?
-1024
In base 13, what is 2 + -14bca?
-14bc8
In base 4, what is 10 + 222132?
222202
In base 8, what is 3 + 136133?
136136
In base 12, what is 132 + 1628?
175a
In base 8, what is -2013671 + -3?
-2013674
In base 8, what is -7 + -4316244?
-4316253
In base 7, what is 5152406 - 1?
5152405
In base 3, what is -111 - 1211211122?
-1211212010
In base 5, what is -14400 + 2323?
-12022
In base 10, what is 11 + -594?
-583
In base 9, what is -11 + 64?
53
In base 13, what is -19a71 + -9?
-19a7a
In base 12, what is 4 + -13757?
-13753
In base 14, what is 6 - -db6?
dbc
In base 15, what is e838 - -2b?
e864
In base 6, what is 43053 - -31?
43124
In base 7, what is -1111 - 1143?
-2254
In base 4, what is -3 - -332003?
332000
In base 4, what is -11 - 1202011310?
-1202011321
In base 11, what is 25a1 + 27?
2618
In base 11, what is -8 + -8a67?
-8a74
In base 2, what is 100 + | {
"pile_set_name": "DM Mathematics"
} |
s the fourth root of 255171 to the nearest integer?
22
What is 2711403 to the power of 1/3, to the nearest integer?
139
What is 26070 to the power of 1/2, to the nearest integer?
161
What is the square root of 23371272 to the nearest integer?
4834
What is the third root of 32733 to the nearest integer?
32
What is 2884694 to the power of 1/3, to the nearest integer?
142
What is the third root of 67754 to the nearest integer?
41
What is the tenth root of 770565 to the nearest integer?
4
What is 469527 to the power of 1/2, to the nearest integer?
685
What is 7225472 to the power of 1/3, to the nearest integer?
193
What is the third root of 1157474 to the nearest integer?
105
What is the cube root of 1485280 to the nearest integer?
114
What is 236855 to the power of 1/3, to the nearest integer?
62
What is the tenth root of 336477 to the nearest integer?
4
What is the fourth root of 33650291 to the nearest integer?
76
What is the square root of 1675161 to the nearest integer?
1294
What is 3622768 to the power of 1/2, to the nearest integer?
1903
What is the fourth root of 10281 to the nearest integer?
10
What is the third root of 3322909 to the nearest integer?
149
What is 1652994 to the power of 1/3, to the nearest integer?
118
What is the third root of 16585115 to the nearest integer?
255
What is 945626 to the power of 1/8, to the nearest integer?
6
What is the eighth root of 1602803 to the nearest integer?
6
What is the square root of 2602125 to the nearest integer?
1613
What is 1235887 to the power of 1/3, to the nearest integer?
107
What is 262410 to the power of 1/2, to the nearest integer?
512
What is 578840 to the power of 1/3, to the nearest integer?
83
What is the third root of 139192 to the nearest integer?
52
What is 855724 to the power of 1/9, to the nearest integer?
5
What is 162130 to the power of 1/8, to the nearest integer?
4
What is 508132 to the power of 1/2, to the nearest integer?
713
What is the sixth root of 129274 to the nearest integer?
7
What is the cube root of 1961762 to the nearest integer?
125
What is the third root of 331668 to the nearest integer?
69
What is 1770050 to the power of 1/2, to the nearest integer?
1330
What is the third root of 69850 to the nearest integer?
41
What is 347525 to the power of 1/3, to the nearest integer?
70
What is the cube root of 3655759 to the nearest integer?
154
What is the sixth root of 4688441 to the nearest integer?
13
What is 155162 to the power of 1/2, to the nearest integer?
394
What is the cube root of 4455 to the nearest integer?
16
What is 332277 to the power of 1/8, to the nearest integer?
5
What is 228950 to the power of 1/5, to the nearest integer?
12
What is the seventh root of 55514 to the nearest integer?
5
What is the seventh root of 258424 to the nearest integer?
6
What is the cube root of 2290221 to the nearest integer?
132
What is the square root of 2678002 to the nearest integer?
1636
What is the square root of 187980 to the nearest integer?
434
What is the third root of 3125329 to the nearest integer?
146
What is the square root of 2432519 to the nearest integer?
1560
What is the square root of 74482 to the nearest integer?
273
What is 704304 to the power of 1/2, to the nearest integer?
839
What is the square root of 1344287 to the nearest integer?
1159
What is 52426 to the power of 1/2, to the nearest integer?
229
What is 1323230 to the power of 1/2, to the nearest integer?
1150
What is the square root of 2936469 to the nearest integer?
1714
What is 6523062 to the power of 1/3, to the nearest integer?
187
What is 576246 to the power of 1/2, to the nearest integer?
759
What is the third root of 848565 to the nearest integer?
95
What is 3050378 to the power of 1/4, to the nearest integer?
42
What is the cube root of 486635 to the nearest integer?
79
What is 126762 to the power of 1/2, to the nearest integer?
356
What is the square root of 1357149 to the nearest integer?
1165
What is 23882653 to the power of 1/3, to the nearest integer?
288
What is the third root of 1583458 to the nearest integer?
117
What is 541664 to the power of 1/2, to the nearest integer?
736
What is 15790356 to the power of 1/10, to the nearest integer?
5
What is 1164928 to the power of 1/2, to the nearest integer?
1079
What is the cube root of 196716 to the nearest integer?
58
What is 714791 to the power of 1/3, to the nearest integer?
89
What is 18146 to the power of 1/3, to the nearest integer?
26
What is 1125986 to the power of 1/7, to the nearest integer?
7
What is 291565 to the power of 1/4, to the nearest integer?
23
What is the cube root of 455077 to the nearest integer?
77
What is 457732 to the power of 1/2, to the nearest integer?
677
What is 19780078 to the power of 1/9, to the nearest integer?
6
What is the square root of 436172 to the nearest integer?
660
What is the cube root of 1148898 to the nearest integer?
105
What is the square root of 22352880 to the nearest integer?
4728
What is 18224889 to the power of 1/3, to the nearest integer?
263
What is 1539097 to the power of 1/3, to the nearest integer?
115
What is 551652 to the power of 1/3, to the nearest integer?
82
What is the square root of 1829176 to the nearest integer?
1352
What is the square root of 113545 to the nearest integer?
337
What is 396374 to the power of 1/8, to the nearest integer?
5
What is 4752871 to the power of 1/3, to the nearest integer?
168
What is 677680 to the power of 1/2, to the nearest integer?
823
What is 224565 to the power of 1/3, to the nearest integer?
61
What is the fourth root of 3334183 to the nearest integer?
43
What is 402435 to the power of 1/3, to the nearest integer?
74
What is the square root of 40149 to the nearest integer?
200
What is the cube root of 4899139 to the nearest integer?
170
What is 556944 to the power of 1/2, to the nearest integer?
746
What is 83532 to the power of 1/6, to the nearest integer?
7
What is 27066963 to the power of 1/10, to the nearest integer?
6
What is the third root of 449262 to the nearest integer?
77
What is the square root of 4531075 to the nearest integer?
2129
What is 21940 to the power of 1/10, to the nearest integer?
3
What is 4323 to the power of 1/3, to the nearest integer?
16
What is the third root of 591082 to the nearest integer?
84
What is the third root of 3769257 to the nearest integer?
156
What is 2855577 to the power of 1/2, to the nearest integer?
1690
What is the cube root of 1493754 to the nearest integer?
114
What is 62268 to the power of 1/2, to the nearest integer?
250
What is the square root of 32548414 to the nearest integer?
5705
What is the square root of 532569 to the nearest integer?
730
What is the square root of 19917244 to the nearest integer?
4463
What is the fifth root of 21077140 to the nearest integer?
29
What is the cube root of 2417074 to the nearest integer?
134
What is the cube root of 3792366 to the nearest integer?
156
What is the cube root of 19160128 to the nearest integer?
268
What is the square root of 322206 to the nearest integer?
568
What is the ninth root of 106996 to the nearest integer?
4
What is 15737469 to the power of 1/9, to the nearest integer?
6
What is 6494187 to the power of 1/3, to the nearest integer?
187
What is the ninth root of 3656090 to the nearest integer?
5
What is 38716 to the power of 1/3, to the nearest integer?
34
What is 3936094 to the power of 1/6, to the nearest integer?
13
What is the square root of 27062 to the nearest integer?
165
What is the third root of 14195 to the nearest integer?
24
What is the square root of 177107 to the nearest integer?
421
What is the eighth root of 11153907 to the nearest integer?
8
What is 8852693 to the power of 1/3, to the nearest integer?
207
What is the square root of 2832075 to the nearest integer?
1683
What is 171050 to the power of 1/2, to the nearest integer?
414
What is the third root of 315461 to the nearest integer?
68
What is 5636157 to the power of 1/5, to the nearest integer?
22
What is 13997459 to the power of 1/3, to the nearest integer?
241
What is 20164125 to the power of 1/3, to the nearest integer?
272
What is the square root of 237711 to the nearest integer?
488
What is the square root of 7153 to the nearest integer?
85
Wh | {
"pile_set_name": "DM Mathematics"
} |
et z be j(-2). Let o(a) = a**2 - 5*a - 1. Let i be o(-9). Suppose 0 = 2*q + 3*r - 35 - 13, -5*r = z*q - i. Is 9 a factor of q?
True
Let b(l) = -l**2 - 9*l + 12. Let d be b(-10). Does 6 divide 3 - (-1 + (-6 - d))?
True
Suppose -5*g + 240 = 3*v, 0*v - 110 = -3*g + 5*v. Does 15 divide g?
True
Let i(n) be the first derivative of -n**2/2 + n - 1. Does 2 divide i(-4)?
False
Let o be (-20)/28 + 4/(-14). Let a = o - 0. Let u = 31 + a. Is 10 a factor of u?
True
Let w(m) = m**2 + 8*m + 25. Is 24 a factor of w(-11)?
False
Let u(w) = -w + 3. Let a be u(-4). Let b(d) = 18 - d + 5*d + 3 - 11. Is b(a) a multiple of 10?
False
Suppose -3*z = -518 - 10. Is z a multiple of 11?
True
Suppose -5*r + 5 = 0, -5*s + 5*r = -10 - 5. Let b(c) = c**2 - 4*c + 4. Let l be b(s). Suppose -70 = -l*y + 94. Does 11 divide y?
False
Suppose 0 = 7*s - 3*s - 48. Let g be 2 - (-1)/(1/1). Let a = s - g. Is 6 a factor of a?
False
Let f = 44 - 31. Is 13 a factor of f?
True
Does 11 divide (0 - 66/(-9))/(8/12)?
True
Let n be 68/11 - (-6)/(-33). Let b(q) = q**3 - 5*q**2 - 3*q - 3. Is 15 a factor of b(n)?
True
Suppose 296 = 5*o - 544. Is o a multiple of 12?
True
Let u(m) = 16*m**2 - 7*m + 2. Is u(2) a multiple of 18?
False
Suppose 14*t = 15*t + 2. Is (t + -10)/((-1)/1) a multiple of 4?
True
Let g(b) be the second derivative of b**5/10 - b**4/12 - b**3/2 + b**2 - 3*b. Let c be 2*2/(-4) + 3. Is 7 a factor of g(c)?
False
Suppose 5*g = 3*g + 152. Is 19 a factor of g?
True
Let y = -194 + 274. Does 3 divide y/(-12)*(-3)/2?
False
Let n(c) = 3*c**2 + 2*c - 2. Let g be n(-2). Suppose 3*x = g*x. Suppose 3*a + a - 100 = x. Is 13 a factor of a?
False
Suppose 2*z - 6 = -4*t, 5*t - 6*t = -3*z + 23. Is 3 a factor of z?
False
Suppose 0*h + h = 0. Suppose -2*g + 57 + 23 = -5*w, h = g + w - 26. Is g a multiple of 10?
True
Suppose 11*j = 8*j + 120. Is j a multiple of 10?
True
Suppose 18*a - 25*a = -763. Is a a multiple of 43?
False
Suppose -3*b = -b + 156. Let f be (6/8)/((-1)/4). Does 13 divide 0/1 + b/f?
True
Let s = 43 - 2. Is s a multiple of 14?
False
Let h be 1 + -3 + (3 - 2). Is (255/10)/(h/(-2)) a multiple of 17?
True
Let d(a) = -1 + 7*a**2 + 4*a - 3*a**2 - a**3 + 2*a**3 + 4. Let y be d(-2). Does 8 divide (-4)/((y/(-2))/3)?
True
Suppose 0 = 3*z - 225 + 69. Does 26 divide z?
True
Let l = -2 + 6. Suppose 0 = -l*y - 3*f + 80, -2*y + 3*f + 80 = 2*y. Is y a multiple of 6?
False
Let j(w) = -w**3 + w**2 + 3*w - 2. Let x be j(2). Let y = -1 - x. Let n = 17 + y. Is 8 a factor of n?
True
Suppose -2*l = -12 - 24. Does 18 divide l?
True
Let x(s) = -2*s - 5. Let j be x(-4). Suppose -j*h + 14 = -h. Let f = 1 + h. Does 4 divide f?
True
Let l(i) = -2*i**3 - 4*i**2 + 4*i + 4. Is 13 a factor of l(-4)?
True
Let y = 6 - 4. Let q = y - -27. Suppose 4 = -4*n, 4*p = 2*p + n + q. Is p a multiple of 14?
True
Let r(y) = -y + 10. Let l be r(7). Is 2 a factor of 4 - 3 - (2 - l)?
True
Suppose -5*p + 0*l + 2*l + 125 = 0, -3*p + 2*l = -75. Suppose 4*m + m - p = -3*i, 2*m + 21 = 5*i. Suppose -i*y - x = -50, 3*x = -2*y + 22 + 11. Does 4 divide y?
False
Let b(y) = 3*y - 7. Let c(l) = -2*l + 3. Let x(o) = o**2 - o + 1. Let t be x(4). Let p(g) = t*c(g) + 6*b(g). Is 21 a factor of p(-3)?
True
Suppose -2*p + 1728 = 492. Is 15 a factor of 1/(-2) + p/12?
False
Suppose -4*c = -s - 7, 0 = 5*c - s - 2*s. Let f = c - -18. Is 7 a factor of f?
True
Suppose 2*g = 5*n - 2, -g - g + 4 = -2*n. Suppose 4*w = n*w. Suppose w = -d - 3*d + 80. Is d a multiple of 10?
True
Suppose -5*z = 2*c - 18, 5*z + c - 26 = -7. Is z a multiple of 2?
True
Suppose 0 = -4*d + r + 5, -4*r + 6*r = -d + 8. Is 0/(-4) - (-124)/d a multiple of 17?
False
Suppose 4*t = -3*u + 2, 2*t - 3*u - 6 = -2*u. Let j(s) = -3*s - t*s**2 - 2*s**2 - 4*s**3 - 2 + 0*s**3. Is 20 a factor of j(-2)?
True
Let v(j) = j**3 - 8*j**2 - 5*j - 13. Is 23 a factor of v(9)?
True
Let y(m) = m**3 + 9*m**2 + 5*m. Let l be y(-7). Suppose -3*x = -4*x + 29. Let s = l - x. Is s a multiple of 14?
False
Let i(j) = 4*j**2 - 5*j - 5. Is 7 a factor of i(-2)?
True
Suppose 0 = k + 4, -5*k = -5*b + 3*b + 6. Is (b/14)/((-2)/48) a multiple of 4?
True
Let k(d) = -d**3 + 4*d**2 + 2. Let s be k(2). Suppose 29 = 3*h - s. Is 4 a factor of h?
False
Let m(w) = 4*w. Let v be m(-1). Let u be (-3)/12 - 9/v. Suppose u*z - 15 = 19. Does 16 divide z?
False
Let k = -3 + 9. Is 16 a factor of (-2)/(-6) + 286/k?
True
Let c(s) = 2*s - 1. Let a(j) = -j + 1. Let l(o) = -4*a(o) - 4*c(o). Suppose -25 = 3*g - 4*i, -8*g - 4*i + 1 = -3*g. Is 10 a factor of l(g)?
False
Let l be 0 - (1*-74)/1. Let r = -49 + l. Is 16 a factor of r?
False
Let k(a) = -26*a + 8. Is 14 a factor of k(-2)?
False
Suppose -4*a - 7*t + 3*t = -28, 5*a - t - 17 = 0. Let o = a + -1. Suppose 9 = o*d - 21. Does 10 divide d?
True
Let i(p) = 8*p + 8. Let c(q) = 1. Let w(g) = -g - 1. Let h(t) = c(t) + w(t). Let x be h(-7). Is i(x) a multiple of 23?
False
Suppose 5*u - 8*u + 45 = 3*c, 4*u - 5*c = 87. Is u a multiple of 5?
False
Let p be (-2 - (-1 + 0))*-6. Suppose 35 = p*t - t. Does 7 divide t?
True
Suppose 0 = -2*b + a + 3*a - 12, 0 = -a + 2. Is 3 a factor of 1/(b - (-13)/6)?
True
Does 25 divide ((-16)/6)/(3/(-90))?
False
Suppose -l + 36 = -3*r - 3*l, -16 = r + 2*l. Let x be (-5)/r - 2/4. Suppose x - 6 = -2*p + 2*a, 3*p + 3*a - 39 = 0. Is 8 a factor of p?
True
Suppose 4*n - c - 10 = 20, -c = 3*n - 19. Does 19 divide (n/(-1))/(3/(-24))?
False
Let i(l) = l + 1. Let f = 14 + -5. Is 6 a factor of i(f)?
False
Let p = 32 - 50. Suppose 26 = 2*w - 26. Let r = w + p. Is r a multiple of 4?
True
Let r = 44 + -10. Suppose -3*h + r = -23. Does 18 divide h?
False
Let d = -13 + 31. Does 8 divide (1 + d - 1) + -2?
True
Let w = -20 + 38. Suppose 0 = 7*v - 3*v. Is 8 a factor of w + -4 + v + 2?
True
Let d(b) = -b**3 - 2*b**2 + 6*b. Is 28 a factor of d(-6)?
False
Suppose 0 = -0*p + 5*p + 15. Let m = p - -35. Is m a multiple of 16?
True
Let r(o) = 4*o**2 + 7*o + 6. Does 7 divide r(-4)?
True
Suppose 0 = 2*q - q - 35. Suppose 20 = w + 2*u, 3*u - q = w - 3*w. Is 10 a factor of w?
True
Suppose 4*f - 130 = 66. Does 28 divide f?
False
Does 16 divide -3*43/(-6)*2?
False
Suppose -48 = -m + 5*m. Let a = m - -33. Is 6 a factor of a?
False
Suppose 15 = -3*x, 0*k = k - x - 31. Does 26 divide k?
True
Let n be (7 + -8)/(1/15). Let g = n - -23. Does 3 divide g?
False
Let f = -290 + 450. Does 40 divide f?
True
Let a be 3/((3 + -4)*-1). Suppose -a = -2*q + q. Suppose -88 = -4*i + 4*p, -2*i = -q*p - 67 + 25. Is i a multiple of 8?
True
Let g(x) = -2*x**2 - x + 2. Let d(i) = i - 4. Let n be d(2). Let q be g(n). Is 17 a factor of q/(-6)*(-348)/(-8)?
False
Let z = 112 + -66. Is 23 a factor of (0 - z/3)*-3?
True
Suppose -10*l - 9 = -11*l. Is 9 a factor of l?
True
Let u = 21 - 16. Is 3 a factor of u?
False
Let i = -21 - -48. Suppose h - 31 - 26 = 0. Let x = h - i. Is x a multiple of 16?
False
Let a = 1 + 58. Is a a multiple of 10?
False
Let v = -4 + 7. Is 3 + (102/v - -1) a multiple of 13?
False
Let p(k) = -k**2 - 5*k + 8. Let d be p(-6). Let y = 6 + d. Is y a multiple of 6?
False
Let g = -8 + 6. Let s(d) = -5*d + 2. Does 6 divide s(g)?
True
Let l(p) = -2*p**3 + 2*p**2 - 2*p - 5. Let d(g) = 6*g + 4 + 4*g**3 - 4*g - 2*g**3 - 2*g**2. Let q(v) = 5*d(v) + 4*l(v). Is q(2) a multiple of 6?
True
Suppose 0*n + 408 = 6*n. Is n a multiple of 12?
False
Let p(h) = 2*h**3 + h**2 + 2*h - 2. Does 12 divide p(3)?
False
Let d(o) = 2*o**2 - 17*o + 6. Let k be d(13). Let h be 0 - (0 - k/3). Let f = h + -25. Is f a multiple of 16?
True
Suppose 2*h + 52 = m + 3*h, 0 = -m + 5*h + 52. Let a = 11 + m. Does 17 divide a?
False
Suppose 11*g - 288 - 3100 = 0. Is 44 a factor of g?
True
Suppose 22 + 18 = -4*w. Let l = 14 - w. Is l a multiple of 10?
False
Suppose -3*r + 229 = -5*q, -2*r + 2*q + 2*q = -152. Does 18 divide r?
False
Let k be 2/5 - 1218/(-30). Let i be 4/((-4)/3)*-9. Let c = k - i. Is 7 a factor of c?
True
Let v(s) = s**2 - 3*s + 2. Let i be v(3). Is (3 + 14*i)*1 a multiple of 11?
False
Let w = 27 - 27. Suppose w = 5*a - 5*x - 90, 2*x + 5 = 5*a - 91. Is a a multiple of 10?
True
Let d be -18*(-2)/4*2. Suppose 3 = q + d. Let c = 27 + q. Does 12 divide c?
True
Let l(v) = v**3 - 23*v**2 + 27*v - 40. Is 22 a factor of l(22)?
False
Let q(y) = -5*y - 1. Let u be q(-4). Let l = -9 + u. Is l a multiple of 10?
True
Suppose 2*g - 1 - 3 = 0. Suppose -5*x | {
"pile_set_name": "DM Mathematics"
} |
t f be 2 + -4 + z/(-1). Solve m + m + 10 = f for m.
-5
Let j be (1926/535)/(3/10). Suppose -2*b = -15 - 1. Solve b*a + j = 4*a for a.
-3
Let w be -4*(10 + 510/(-40)). Solve -8*t + w*t = -6 for t.
-2
Let y = -11 - -9. Let a = 7 + y. Suppose k = -a*j + 4*k - 5, -j + 22 = 4*k. Solve -2 - 6 = j*t for t.
-4
Suppose -3*z - 1 = 2*p - 12, p + 5*z = -12. Let a be (-1 + p)*2/4. Suppose -4*o = -7*o + a. Solve -4*v = -o*v + 2 for v.
-1
Let f = -728 - -732. Let o be -2*(-1 + 6/(-3)). Suppose 0 = -2*z + o. Solve -f*t = -z*t for t.
0
Let k(i) = i + 33. Let u be k(-11). Let c = -21 + u. Solve 0 = h + 3 - c for h.
-2
Suppose -2*l + 5*x - 92 = 0, 4*l + 7*x = 2*x - 124. Let i = 39 + l. Let b = 1 + 3. Solve b*m + i = -9 for m.
-3
Suppose -832 = -50*k + 518. Solve -24*w + 15 = -k*w for w.
-5
Let x be -2 - -6*(4 - 3). Suppose 2*h - s = 3*s - x, -2*s + 2 = 4*h. Suppose 4*a - 12 = -4*p, 2*p + h*a - 2*a = 10. Solve p*c + c + 20 = 0 for c.
-4
Let r(f) = f - 8. Let i be r(4). Let h be 1*(-6)/i*-4. Let y be ((-8)/h)/((-10)/(-45)). Solve -q = q - y for q.
3
Suppose 5*w - 59 = -4*z, w + 2*z + 2*z + 1 = 0. Let y = 25 - w. Solve 0 = 4*d - y - 2 for d.
3
Let b = 42 - 21. Let h = b + -6. Suppose 4*f - h = 5. Solve 0 = l - f*l for l.
0
Let v(z) = -z**3 - 12*z**2 - 28*z - 70. Let w be v(-10). Solve 3*o = w*o + 28 for o.
-4
Suppose 0 = 2*o - 0*n - n - 434, -3*o + 650 = -n. Let f be 1032/o + 4/18 + 0. Solve f*j + 3 + 17 = 0 for j.
-4
Let n(x) = -x**3 + 9*x**2 + 2*x - 9. Suppose -2*q + 0*q = -18. Let w be n(q). Let j be (-2)/w*(-1 - 8). Solve -c - j*c = 12 for c.
-4
Let a = 9 - 29. Let i be 41/4 - (-5)/a. Suppose -f = f - i. Solve -8 = -f*u + 12 for u.
4
Suppose -j + 5*s = -5*j + 36, -2*s = 0. Solve j*p - 6 = 6*p for p.
2
Let z(a) = 11*a - 3. Let y(g) = -10*g + 2. Let d(q) = 5*y(q) + 4*z(q). Let j be d(-1). Solve c + 2 - j = 0 for c.
2
Suppose 0 = w - 2*l - 5, 2*w + 5 = 3*w + l. Suppose z = u + w*z - 20, 0 = 2*u + 3*z - 25. Solve -3*g + u*g = -5 for g.
-1
Suppose 0*z - 4*g - 23 = -z, -4*z + g + 17 = 0. Solve -z*d - 3 + 3 = 0 for d.
0
Let s(j) = 5*j**2 + 84*j - 83. Let m be s(1). Solve 29 = -23*c + m for c.
-1
Suppose -s = 2*s + b - 120, -5*s = -2*b - 200. Let k be s/35 - (-2)/(-14). Solve -3*x + 4*x - k = 0 for x.
1
Let s = 710 - 691. Solve -23 = -y - s for y.
4
Let d(w) = -w**2 + 19*w - 14. Let a(p) = -p**3 + 8*p**2 - 6*p + 3. Let j be a(7). Let g be d(j). Let k = g - 51. Solve 0 = 4*f + f - k for f.
5
Suppose 5*n - 7 = -4*f, 2*f - 4*n = -9*n - 9. Suppose 2*p + 5*z - 63 = 0, -3*z - 121 = -4*p - f. Let g = p + -29. Solve -d - 2*d - 12 = g for d.
-4
Let p = 104 - 101. Solve 8 = -m + p*m for m.
4
Suppose 11 = 3*j + 4*c, c + 1 = -4*j + 7*j. Let p = 0 - -6. Let h be 26/p + 2/3. Solve -j = -t - h for t.
-4
Let c = 159 + -159. Solve -i + 2 + 0 = c for i.
2
Let k = 2271 + -2271. Solve k = -7*r - 35 + 49 for r.
2
Suppose -5*l + 10 = 2*k, 27 = 3*k - 2*l - 26. Let h = -13 + k. Suppose 4*x = 12, 5*f + h*x - 17 = 4. Solve f*t - 5*t = 10 for t.
-5
Let x be ((-126)/(-49))/((-6)/(-56)). Let c = x + -24. Solve 2*g - g = c for g.
0
Suppose u + 4*u = 80. Suppose u = 6*v - 2*v. Suppose -v*i + 64 = -p, -4*i = i + 5*p - 55. Solve -7*c + 2*c = -i for c.
3
Let r = 920 - 868. Solve 10*s + r = -3*s for s.
-4
Let i(g) = -g**3 - 5*g**2 - 5*g. Let q be i(-4). Suppose -5 = -t + 4. Let k be 2 + 1 + t + -10. Solve -2*z = -q*z + k for z.
1
Let s be 0/((-2 + -1)*-1). Suppose 0 = 3*h - 4 - 8. Suppose -14*m + 13*m = -h. Solve s*a - m = 2*a for a.
-2
Suppose w + 1 = 3. Let x(h) = h**2 - 9*h - 35. Let d be x(12). Let b(j) = 4*j**3 + 3*j**2 + j - 2. Let p be b(d). Solve k = -w*k - p for k.
-2
Let b be (-2 - 120/(-14)) + (-8)/14. Suppose 10*t = -b*t + 32. Solve t*r = r - 3 for r.
-3
Let h(c) = c**3 + 13*c**2 + 34*c + 46. Let v be h(-10). Solve v*l + 4 = 8*l for l.
2
Let x(g) = 3*g**2 - 5 - 10*g**2 - 3*g + 11*g + g**3 - 2. Let q be x(6). Suppose 0*m - 97 = -q*m + 3*c, 39 = 3*m + 3*c. Solve 0 = 5*h - 8 - m for h.
5
Let d = -38 - -38. Suppose -4*u + u - 9 = 0. Let x = d - u. Solve 2 = -x*t + 2*t for t.
-2
Let f be ((-2)/(-4))/((-1)/(-12)). Suppose -v + 4 = 2*j, -2*v - 1 = -4*j + 5*j. Suppose 3*u = 3*o + j, 3*u = -4*o - u + 28. Solve -5*r = -o*r + f for r.
-3
Let j(z) = z**2 - 12*z - 13. Let k be j(13). Suppose 5*f + 32 = 22. Let m be k/(-3 - (f - 3)). Solve m = -7*v + 4*v for v.
0
Let c(o) = -o**2 - 6*o - 1. Let i be c(-5). Suppose -i*t = 66 + 42. Let l be 6/t - 10/(-45). Solve l = k + 2*k - 3 for k.
1
Suppose 0 = 4*d - 29 + 9. Let o(w) = -3*w - 6. Suppose 3*k + 6 = -3. Let n be o(k). Solve n*s - d = -2 for s.
1
Let s(j) = j**2 - j + 2. Let u be s(0). Suppose l - u*l = -3. Solve 0*y - l*y + 12 = 0 for y.
4
Let q be (-1)/(2*3/(-24)). Suppose -4*z = 3*p - 25, 1 = 5*p - q*z - 30. Let a = 6 - -10. Solve p*l - 3*l = -a for l.
-4
Let a = 42 + -38. Suppose 0 = -12*y + 14*y - a. Solve -3 + 9 = y*l for l.
3
Suppose -50*j + 45*j - 640 = 0. Let r be (-4)/14 + j/(-56). Solve -r*n - 1 = 9 for n.
-5
Let u(p) = 2*p**2 + 29*p - 140. Let z be u(4). Suppose 0 = 4*d + 5 - 17. Let x = z - d. Solve -x*h = -h + 8 for h.
-2
Suppose 857 = -w + 861. Solve -9*j - w = 23 for j.
-3
Let x = 31 + -28. Suppose -3*v + c - 1 = x*c, 5*c = -10. Solve -f = -3 + v for f.
2
Let u(f) = 0*f + 41 - 35 + f. Let p be u(2). Let k = p + 7. Solve k = z - 6*z for z.
-3
Let v(t) = 3*t**2 + 7*t - 6. Let l be v(-4). Suppose -5*h = 2*h - l. Solve -h - 4 = 2*d for d.
-3
Let x = -116 - -176. Suppose -6*b = -b + x. Let t = b + 16. Solve 0 = -t*u + 2*u + 4 for u.
2
Let u be (-1 - -1) + (-1 - -1). Let n = 2 - u. Suppose 0 = c + 2*c - 6. Solve -n*g + c = -4*g for g.
-1
Let k = 531 + -529. Solve -k = -2*r + 4 for r.
3
Let y be 129 + -121 - (2 + -1). Suppose -v + 22 = -0*v - 2*g, 5*v - 2*g = 78. Let i = v + -9. Solve 2*j - y*j = -i for j.
1
Let w(j) = 8*j - 14*j + 5*j + 0*j + j**3 + 4*j**2 + 4. Let g = 1 - 5. Let p be w(g). Solve 2*h + p = -2*h for h.
-2
Let g be 30/(-20)*92/(-6). Suppose -q - g = -2*q + 5*d, 4*q = 5*d + 32. Solve -q*b = -2*b + 5 for b.
-5
Let s be ((-3)/(-2))/(-1 + (-55)/(-40)). Solve -3*i = s*i + 14 for i.
-2
Suppose 3*w - 2*k = 10, 5 + 11 = 3*w - 5*k. Suppose 0 = s + 2*d - 3 - w, -3*d = -4*s + 9. Solve h = s*h for h.
0
Suppose -5*l + w = 600, 0*l - 2*w = 2*l + 240. Let j be ((-8)/(-12))/((-6)/(-63)). Let c be (-1)/j + l/(-56). Solve 0 = -c*y + 10 for y.
5
Suppose 5*i + 4*u = -11, u - 5*u - 8 = 4*i. Let g be 6*(i + 4) + (0 - 1). Suppose 0 = 3*d - d - 12. Solve f + d - g = 0 for f.
-1
Suppose -4*s + 3*k + 12 = -0*s, -5*k = 0. Suppose -3*y + 0 = -6. Suppose -2*v = s*l + 3*v - 7, 0 = -y*l - 2*v + 6. Solve 3 + 9 = l*w for w.
3
Let q(b) = -6*b - b**2 - b**3 + 5*b + 8 - 3. Let v be q(0). Suppose 5*m + 3*r + 0*r = 19, -29 = -v*m + 2*r. Solve t + 16 = m*t for t.
4
Suppose 3*o + 2*d + 4 = 0, -5*o - 6 + 2 = 2*d. Solve o = 10*b - 7*b - 9 for b.
3
Let w = -318 + 322. Solve -w*k = 3 - 7 for k.
1
Suppose -48 = -2*w - 10*w. Suppose 6*v = w*v + 6. Solve -c + v*c - 8 = 0 for c.
4
Let t = -2 + 0. Let d(n) = n**3 + 4*n**2 + 2*n + 1. Let r be d(t). Suppose 5 + r = 5*j. Solve 0 = 2*q - 0*q + j for q.
-1
Suppose 0 = -9*k - 489 + 579. Solve -y + k = 14 for y.
-4
Suppose -3*s + s - 28 = -2*j, 3*s + 12 = 0. Suppose c + 45 = -4*w, -3*c - 47 = 3*w + 52. Let q = c - -31. Solve -q - j = -3*f for f.
4
Let q = 47 + -82. Let a be (3 - 1)/((-7)/q). Solve -2*m + 2 = a for m.
-4
Suppose 0 = 76*s - 6*s - 490. Solve s*i = -19 + 47 for i.
4
Let q be 9*((-20)/(-6) + -2). Suppose 4*o - 4*u = -5*u - 19, 19 = o + 5*u. Let j = q + o. Solve v - j = -v for v.
3
Suppose 4*l = -8, 0*l - 41 = 3*c + 4*l. Let t = 11 + c. Let r be 0 + 5 + -1 + -1 + -1. Solve t = b + b - r for b.
1
Let p be (8/(-4) + 2)*-1. Let r be 8 + (4 + -13 - -6). Solve 25 = -r*q - p*q for q.
-5
Let q = -5 + 23. Let w = -257 - -271. Let i be 12/(-42) + q/w. Solve 7 + i = 2*s for s.
4
Suppose 3*x + w - 43 = 0, -2*x + 2*w + 24 = -18. Let k be (-2)/(-3) + 329/(-21). Let z = k + x. Solve z = 3*h - 2 for h.
1
Let p = 18 + -24. Let q be (-2)/p*(11 + 7). Let z be 4 + -3 + 0 + 2. Solve q*v - z*v = 9 for v.
3
Suppose -3 + 5 = -w - 2*h, 2*h + 22 = 4*w. Suppose 0 = 35*n - 33*n - w. Solve 0 = 3*i + n*i + 5 for i.
-1
Let i = -171 - -184. Solve 10*z - 12 = i*z for z.
-4
Suppose -228 = -4*v + 3*k, 228 = 6*v - 2*v + 2*k. Let u = v + -55. Solve a - 4 = | {
"pile_set_name": "DM Mathematics"
} |
are there between 9:49 PM and 7:56 AM?
607
How many minutes are there between 11:49 PM and 5:48 AM?
359
How many minutes are there between 2:08 AM and 3:08 AM?
60
What is 103 minutes before 2:10 AM?
12:27 AM
How many minutes are there between 6:56 PM and 4:08 AM?
552
How many minutes are there between 1:31 AM and 2:30 AM?
59
How many minutes are there between 5:40 PM and 12:34 AM?
414
How many minutes are there between 3:01 PM and 9:26 PM?
385
What is 238 minutes after 6:09 AM?
10:07 AM
What is 11 minutes before 3:13 PM?
3:02 PM
How many minutes are there between 1:08 PM and 1:50 PM?
42
What is 10 minutes before 12:28 PM?
12:18 PM
How many minutes are there between 1:38 PM and 4:44 PM?
186
What is 491 minutes before 3:36 PM?
7:25 AM
What is 165 minutes before 1:21 PM?
10:36 AM
What is 92 minutes before 7:58 AM?
6:26 AM
How many minutes are there between 7:22 AM and 3:27 PM?
485
What is 56 minutes after 4:50 AM?
5:46 AM
How many minutes are there between 2:17 PM and 8:30 PM?
373
What is 360 minutes after 10:00 PM?
4:00 AM
What is 657 minutes before 7:55 PM?
8:58 AM
What is 266 minutes before 5:08 PM?
12:42 PM
What is 488 minutes after 8:56 PM?
5:04 AM
What is 612 minutes after 11:30 AM?
9:42 PM
What is 453 minutes before 2:21 PM?
6:48 AM
What is 286 minutes after 8:27 AM?
1:13 PM
What is 9 minutes after 3:39 AM?
3:48 AM
What is 547 minutes after 5:34 AM?
2:41 PM
How many minutes are there between 9:18 AM and 10:20 AM?
62
How many minutes are there between 2:35 PM and 8:51 PM?
376
How many minutes are there between 1:22 AM and 1:07 PM?
705
What is 135 minutes after 3:43 AM?
5:58 AM
How many minutes are there between 10:04 PM and 2:19 AM?
255
How many minutes are there between 2:55 PM and 1:42 AM?
647
How many minutes are there between 7:04 PM and 7:43 PM?
39
How many minutes are there between 11:46 AM and 4:41 PM?
295
What is 337 minutes before 1:33 AM?
7:56 PM
What is 416 minutes after 10:05 PM?
5:01 AM
How many minutes are there between 10:09 PM and 4:36 AM?
387
How many minutes are there between 9:21 PM and 12:36 AM?
195
How many minutes are there between 9:54 PM and 6:06 AM?
492
What is 223 minutes after 1:24 PM?
5:07 PM
What is 457 minutes before 6:50 AM?
11:13 PM
What is 453 minutes after 8:01 PM?
3:34 AM
What is 496 minutes before 6:06 PM?
9:50 AM
What is 552 minutes after 7:19 PM?
4:31 AM
How many minutes are there between 5:34 PM and 7:17 PM?
103
How many minutes are there between 4:57 PM and 8:08 PM?
191
What is 159 minutes after 8:37 PM?
11:16 PM
How many minutes are there between 1:30 AM and 4:03 AM?
153
What is 130 minutes after 12:13 PM?
2:23 PM
What is 274 minutes after 3:26 AM?
8:00 AM
How many minutes are there between 3:03 AM and 12:55 PM?
592
How many minutes are there between 2:31 PM and 5:27 PM?
176
How many minutes are there between 10:37 AM and 5:11 PM?
394
How many minutes are there between 4:58 PM and 10:30 PM?
332
What is 443 minutes before 12:10 AM?
4:47 PM
What is 223 minutes before 7:14 PM?
3:31 PM
How many minutes are there between 5:39 AM and 10:18 AM?
279
What is 10 minutes before 7:30 AM?
7:20 AM
What is 625 minutes after 5:00 AM?
3:25 PM
How many minutes are there between 9:50 AM and 6:53 PM?
543
How many minutes are there between 6:01 PM and 10:38 PM?
277
How many minutes are there between 7:32 PM and 10:12 PM?
160
What is 204 minutes after 6:53 PM?
10:17 PM
How many minutes are there between 7:36 AM and 6:33 PM?
657
How many minutes are there between 1:32 PM and 8:41 PM?
429
What is 98 minutes after 5:29 AM?
7:07 AM
What is 492 minutes before 2:37 PM?
6:25 AM
What is 596 minutes before 6:43 AM?
8:47 PM
How many minutes are there between 6:57 PM and 4:13 AM?
556
How many minutes are there between 2:30 AM and 11:54 AM?
564
What is 270 minutes before 12:45 PM?
8:15 AM
How many minutes are there between 4:17 AM and 7:21 AM?
184
What is 260 minutes before 9:19 AM?
4:59 AM
What is 584 minutes before 6:15 PM?
8:31 AM
How many minutes are there between 1:09 PM and 4:23 PM?
194
What is 97 minutes before 3:04 AM?
1:27 AM
How many minutes are there between 11:32 AM and 6:56 PM?
444
What is 535 minutes before 9:26 PM?
12:31 PM
What is 120 minutes before 1:58 AM?
11:58 PM
How many minutes are there between 8:50 PM and 5:38 AM?
528
How many minutes are there between 6:19 AM and 6:04 PM?
705
What is 328 minutes after 7:02 PM?
12:30 AM
What is 293 minutes after 11:59 PM?
4:52 AM
How many minutes are there between 4:45 PM and 5:27 PM?
42
What is 485 minutes before 12:09 PM?
4:04 AM
What is 176 minutes after 3:35 AM?
6:31 AM
How many minutes are there between 2:22 PM and 10:50 PM?
508
How many minutes are there between 6:25 PM and 5:34 AM?
669
How many minutes are there between 1:28 AM and 1:00 PM?
692
What is 669 minutes before 1:32 AM?
2:23 PM
What is 388 minutes before 4:15 AM?
9:47 PM
How many minutes are there between 4:54 PM and 10:26 PM?
332
What is 692 minutes before 6:11 AM?
6:39 PM
How many minutes are there between 3:29 AM and 10:23 AM?
414
What is 611 minutes before 10:56 AM?
12:45 AM
What is 217 minutes after 7:33 AM?
11:10 AM
How many minutes are there between 3:16 PM and 1:21 AM?
605
What is 387 minutes after 3:02 AM?
9:29 AM
How many minutes are there between 4:59 PM and 5:58 PM?
59
What is 679 minutes before 12:11 PM?
12:52 AM
How many minutes are there between 6:31 PM and 6:30 AM?
719
How many minutes are there between 10:59 PM and 9:42 AM?
643
What is 597 minutes before 10:43 PM?
12:46 PM
What is 445 minutes before 3:32 AM?
8:07 PM
What is 204 minutes after 9:06 AM?
12:30 PM
How many minutes are there between 7:00 PM and 12:04 AM?
304
How many minutes are there between 12:25 AM and 8:36 AM?
491
What is 663 minutes before 5:56 AM?
6:53 PM
What is 420 minutes after 2:32 AM?
9:32 AM
What is 672 minutes before 5:53 AM?
6:41 PM
How many minutes are there between 9:12 PM and 1:37 AM?
265
What is 103 minutes after 12:30 AM?
2:13 AM
How many minutes are there between 11:42 PM and 1:20 AM?
98
What is 660 minutes after 12:13 PM?
11:13 PM
What is 141 minutes before 10:05 AM?
7:44 AM
How many minutes are there between 11:58 AM and 6:09 PM?
371
How many minutes are there between 10:25 PM and 3:27 AM?
302
How many minutes are there between 5:53 PM and 2:04 AM?
491
How many minutes are there between 10:19 PM and 5:44 AM?
445
What is 663 minutes before 6:53 PM?
7:50 AM
How many minutes are there between 9:24 PM and 4:22 AM?
418
How many minutes are there between 6:35 PM and 6:07 AM?
692
How many minutes are there between 1:35 AM and 1:00 PM?
685
What is 51 minutes before 5:56 PM?
5:05 PM
How many minutes are there between 8:34 AM and 12:58 PM?
264
How many minutes are there between 12:41 PM and 12:45 PM?
4
How many minutes are there between 3:10 AM and 12:28 PM?
558
How many minutes are there between 7:35 AM and 8:14 AM?
39
What is 430 minutes after 5:04 PM?
12:14 AM
What is 235 minutes before 6:48 PM?
2:53 PM
What is 543 minutes after 2:56 AM?
11:59 AM
How many minutes are there between 1:55 PM and 3:36 PM?
101
How many minutes are there between 11:46 PM and 3:50 AM?
244
What is 41 minutes before 9:44 PM?
9:03 PM
What is 103 minutes after 2:55 PM?
4:38 PM
What is 9 minutes before 7:24 PM?
7:15 PM
How many minutes are there between 11:56 PM and 6:55 AM?
419
How many minutes are there between 9:59 PM and 12:23 AM?
144
How many minutes are there between 11:05 AM and 5:50 PM?
405
What is 59 minutes before 2:39 AM?
1:40 AM
What is 313 minutes after 1:40 AM?
6:53 AM
What is 186 minutes after 6:39 PM?
9:45 PM
What is 251 minutes after 11:16 AM?
3:27 PM
What is 251 minutes before 12:14 PM?
8:03 AM
How many minutes are there between 2:16 PM and 7:16 PM?
300
What is 144 minutes before 7:30 AM?
5:06 AM
What is 429 minutes after 1:27 AM?
8:36 AM
How many minutes are there between 12:02 PM and 5:55 PM?
353
How many minutes are there between 4:42 AM and 8:37 AM?
235
How many minutes are there between 1:54 PM and 4:39 PM?
165
What is 203 minutes before 3:07 AM?
11:44 PM
What is 331 minutes after 5:26 AM?
10:57 AM
How many minutes are there between 7:33 AM and 7:35 AM?
2
What is 321 minutes before 11:46 PM?
6:25 PM
How many minutes are there between 3:54 AM and 6:02 AM?
128
What is 341 minutes before 1:05 AM?
7:24 PM
What is 472 minu | {
"pile_set_name": "DM Mathematics"
} |
326, -41171, -40996, -40795, -40562, -40291, -39976?
-39611
What comes next: -2238, -3074, -3910, -4746?
-5582
What is next in -5464, -10910, -16342, -21760?
-27164
What comes next: 17508, 69975, 157406, 279801, 437160, 629483?
856770
What is the next term in -192, -905, -2096, -3765, -5912?
-8537
What is next in 392, 386, 388, 404, 440?
502
What is next in 67229, 67230, 67231, 67232?
67233
What is next in -1433, -5714, -12841, -22808, -35609?
-51238
What comes next: -653, -1254, -1855?
-2456
What is next in -79485, -79483, -79481, -79479, -79477, -79475?
-79473
What is next in -15291, -15297, -15305, -15315, -15327, -15341?
-15357
What is the next term in 5125, 5129, 5133, 5137, 5141, 5145?
5149
What comes next: 87703, 350816, 789337, 1403266?
2192603
What is the next term in 54, 151, 354, 717, 1294, 2139, 3306, 4849?
6822
What is next in 22748, 45508, 68270, 91034, 113800, 136568, 159338?
182110
What is the next term in -294435, -588868, -883301?
-1177734
What is next in -305, -1200, -2687, -4772, -7461?
-10760
What comes next: 209, 195, 161, 101, 9?
-121
What is the next term in 530, 2145, 4892, 8819, 13974, 20405?
28160
What is the next term in -152, -259, -354, -437?
-508
What comes next: -267840, -535689, -803538, -1071387, -1339236?
-1607085
What comes next: 25780, 51665, 77540, 103399, 129236, 155045?
180820
What comes next: -447, -477, -549, -681, -891, -1197, -1617, -2169?
-2871
What comes next: 133964, 133952, 133954, 133976, 134024, 134104?
134222
What is next in -119, -239, -359, -479?
-599
What is the next term in 4983, 4977, 4971, 4965, 4959, 4953?
4947
What is the next term in -4784, -9539, -14296, -19055?
-23816
What comes next: -16935, -67710, -152341, -270834, -423195, -609430, -829545?
-1083546
What comes next: 316, 493, 670, 847, 1024?
1201
What comes next: -1762, -7042, -15842, -28162, -44002?
-63362
What is the next term in -16449, -16447, -16445, -16443?
-16441
What is the next term in 1192, 2397, 3618, 4861, 6132, 7437, 8782, 10173?
11616
What is next in -1278156, -1278155, -1278164, -1278189, -1278236, -1278311?
-1278420
What comes next: -254, -507, -756, -1001?
-1242
What comes next: 255, 1007, 2267, 4041, 6335?
9155
What comes next: -1867589, -1867591, -1867593, -1867595, -1867597?
-1867599
What is next in -49749, -49751, -49753, -49755, -49757, -49759?
-49761
What is next in 210, 833, 1878, 3345?
5234
What is next in -503, -546, -671, -920, -1335, -1958, -2831, -3996?
-5495
What is next in 391, 747, 1065, 1327, 1515, 1611?
1597
What is the next term in 211421, 422826, 634231?
845636
What is the next term in -69, -338, -573, -768, -917, -1014, -1053, -1028?
-933
What is next in 740, 3078, 6968, 12404, 19380?
27890
What is the next term in 67, 160, 253, 346, 439?
532
What is the next term in -3156, -3266, -3566, -4152, -5120, -6566, -8586?
-11276
What comes next: 2734, 2565, 2396?
2227
What is the next term in 30009, 60019, 90031, 120045, 150061, 180079?
210099
What comes next: 41341, 165390, 372137, 661582?
1033725
What is next in -37028, -74049, -111066, -148079, -185088, -222093?
-259094
What is the next term in 88458, 88457, 88456, 88455, 88454?
88453
What is next in -19477, -38954, -58435, -77920, -97409, -116902?
-136399
What is the next term in -1391, -2817, -4243, -5669?
-7095
What comes next: 1147, 1999, 2845, 3685?
4519
What comes next: 20, 3676, 9770, 18302, 29272, 42680, 58526?
76810
What comes next: -470, -454, -454, -476, -526, -610?
-734
What is next in 8, 104, 268, 500, 800?
1168
What is the next term in -11753, -23426, -35099, -46772, -58445, -70118?
-81791
What comes next: 2982, 5961, 8940?
11919
What is the next term in -2635, -5334, -8033?
-10732
What is the next term in 176562, 353122, 529682, 706242, 882802?
1059362
What comes next: -197, -131, -51, 49, 175, 333, 529?
769
What is next in -36, 33, 112, 201?
300
What comes next: 788, 855, 962, 1103, 1272?
1463
What is next in -144, 7, 274, 669, 1204, 1891, 2742?
3769
What is next in 4821, 19334, 43523, 77388?
120929
What is next in 14331, 28719, 43107, 57495, 71883, 86271?
100659
What is the next term in 654, 687, 720?
753
What is next in 1281, 1217, 1043, 705, 149, -679, -1833, -3367?
-5335
What is the next term in 6295, 6284, 6251, 6184, 6071, 5900, 5659, 5336?
4919
What comes next: -4245, -4256, -4271, -4290, -4313, -4340, -4371?
-4406
What is next in 2471, 2469, 2467, 2465, 2463, 2461?
2459
What is next in 35164, 140615, 316352, 562375, 878684, 1265279?
1722160
What is next in -360, -360, -346, -312, -252, -160, -30?
144
What is next in 15088, 30168, 45248, 60328?
75408
What is the next term in -4559, -18240, -41041, -72962?
-114003
What is next in 258, 1104, 2524, 4524, 7110, 10288, 14064, 18444?
23434
What comes next: -91955, -91954, -91951, -91946, -91939, -91930, -91919?
-91906
What is next in -3458, -3450, -3432, -3404, -3366?
-3318
What is the next term in 1979, 2034, 2091, 2150, 2211, 2274, 2339?
2406
What is next in 55510, 55509, 55508, 55507, 55506?
55505
What is next in 1550, 5823, 12944, 22913, 35730, 51395?
69908
What is the next term in -9556, -38173, -85862, -152617, -238432, -343301?
-467218
What is the next term in 253, 2168, 7435, 17752, 34817, 60328, 95983?
143480
What is next in 113, 435, 971, 1721?
2685
What is the next term in -294, -436, -686, -1044, -1510, -2084?
-2766
What is next in -2910, -5825, -8740, -11655, -14570?
-17485
What is next in 362, 427, 492, 557?
622
What is next in 178, 1448, 4890, 11590, 22634, 39108, 62098, 92690?
131970
What is the next term in 58135, 58128, 58107, 58066, 57999, 57900, 57763?
57582
What is next in 158, 144, 140, 152, 186, 248?
344
What comes next: 1251, 1433, 1615, 1797, 1979?
2161
What is next in 6361, 12762, 19163?
25564
What is the next term in 2597, 2623, 2663, 2717, 2785?
2867
What is the next term in -150, -433, -724, -1023, -1330, -1645?
-1968
What comes next: 6467, 12857, 19247?
25637
What is the next term in -236, -914, -2026, -3572, -5552?
-7966
What is the next term in 21739, 21549, 21347, 21127, 20883?
20609
What is the next term in -1774, -1767, -1760, -1753, -1746?
-1739
What is next in 38, 40, -38, -226, -554?
-1052
What is the next term in 1437, 1568, 1699, 1830?
1961
What is next in 1357, 1765, 2869, 5017, 8557, 13837?
21205
What is next in -34248, -68520, -102804, -137106, -171432, -205788, -240180, -274614?
-309096
What is the next term in 1182, 2334, 3466, 4578, 5670?
6742
What is the next term in 50, 267, 864, 2033, 3966, 6855?
10892
What is next in -32775, -65556, -98341, -131130, -163923, -196720, -229521?
-262326
What is next in -410, -650, -1050, -1610, -2330, -3210, -4250?
-5450
What is the next term in 151816, 151809, 151802, 151795?
151788
What is the next term in 28121, 28122, 28123?
28124
What comes next: -52, -159, -338, -589, -912, -1307, -1774?
-2313
What comes next: 81555, 163105, 244653, 326199, 407743?
489285
What is next in -157, -184, -239, -328, -457?
-632
What is next in -46, -41, -44, -61, -98?
-161
What comes next: 250, 1916, 6430, 15214, 29690, 51280, 81406?
121490
What comes next: -5759, -5760, -5747, -5714, -5655?
-5564
What is the next term in 51460, 102922, 154382, 205840?
257296
What is the next term in -660130, -1320256, -1980382, -2640508, -3300634?
-3960760
What is the next term in -6967, -6811, -6655, -6499, -6343?
-6187
What is next in 1094, 1106, 1114, 1118, 1118?
1114
What comes next: 5777, 11551, 17323, 23093, 28861, 34627, 40391?
46153
What is next in 1734, 3461, 5184, 6903, 8618?
10329
What comes next: 5, 151, 283, 395, 481, 535, 551?
523
What is next in 34588, 138350, 311286, 553396?
864680
What is next in -4533, -4561, -4609, -4677, -4765?
-4873
What is the next term in 149068, 298136, 447204, 596272?
745340
What is the next term in -2018, -4058, -6118, -8204, -10322, -12478, -14678, -16928?
-19234
What comes next: -1125, -2242, -3347, -4434, -5497?
-6530
What is next in 506, 1830, 4028, 7100, 11046, 15866?
21560
What comes next: -127, -319, -511, -703?
-895
What comes next: -24070, -24073, -24080, -24091, -24106, -24125, -24148?
-24175
What is next in -143, -286, -429, -572, -715?
-858
What comes next: 242, 261, 280?
299
What comes next: -375852, -1503361, -3382536, -6013371, -9395860, -13529997, -18415776?
-24053191
W | {
"pile_set_name": "DM Mathematics"
} |
ccxc. What is prob of picking 3 c?
1/35
Three letters picked without replacement from {f: 9}. What is prob of picking 3 f?
1
Two letters picked without replacement from {v: 2, y: 1, i: 4, j: 1, k: 3}. What is prob of picking 1 v and 1 k?
6/55
Calculate prob of picking 1 p and 1 e when two letters picked without replacement from {g: 4, k: 3, p: 3, e: 3}.
3/26
Four letters picked without replacement from {w: 2, t: 7, m: 4}. What is prob of picking 2 t and 2 w?
21/715
What is prob of picking 3 p when three letters picked without replacement from uctpdhudtdppt?
1/286
What is prob of picking 1 g, 1 w, and 1 b when three letters picked without replacement from gbbwabrbapwwwbp?
4/91
What is prob of picking 3 y when three letters picked without replacement from {p: 7, y: 5}?
1/22
What is prob of picking 2 m when two letters picked without replacement from mmmmamammam?
28/55
What is prob of picking 1 e, 1 v, and 1 a when three letters picked without replacement from barrarevanbbrnb?
3/455
What is prob of picking 1 e, 1 l, and 1 d when three letters picked without replacement from {s: 9, e: 2, d: 1, h: 3, l: 3}?
1/136
What is prob of picking 3 s and 1 c when four letters picked without replacement from ssmncmnnsmsmssm?
4/273
Two letters picked without replacement from puppupppppppppppupnn. What is prob of picking 2 u?
3/190
What is prob of picking 1 b and 1 j when two letters picked without replacement from lllbhddhbjhjj?
1/13
Calculate prob of picking 1 f and 1 p when two letters picked without replacement from pppfpppppfppfp.
33/91
What is prob of picking 2 r when two letters picked without replacement from {i: 7, r: 6}?
5/26
Two letters picked without replacement from ccocccocccoccc. What is prob of picking 2 o?
3/91
Four letters picked without replacement from uuzuczzuuucczzcu. Give prob of picking 1 z and 3 u.
5/52
What is prob of picking 1 d, 1 f, and 1 n when three letters picked without replacement from fydqn?
1/10
What is prob of picking 1 y, 1 i, and 2 e when four letters picked without replacement from {b: 3, m: 1, e: 5, y: 2, i: 1}?
4/99
Calculate prob of picking 1 j and 2 e when three letters picked without replacement from {j: 2, i: 5, e: 6}.
15/143
Two letters picked without replacement from {e: 1, i: 4, k: 1, t: 2}. What is prob of picking 1 e and 1 k?
1/28
Calculate prob of picking 1 i, 1 o, and 1 a when three letters picked without replacement from oaoauniiiauoooioui.
15/136
What is prob of picking 1 u, 1 n, and 1 g when three letters picked without replacement from ppunganpapnp?
3/220
Three letters picked without replacement from {i: 2, p: 8, a: 5}. What is prob of picking 1 a and 2 i?
1/91
What is prob of picking 2 g when two letters picked without replacement from {l: 2, h: 8, g: 8}?
28/153
Four letters picked without replacement from zzvvvzzzvvzz. What is prob of picking 4 z?
7/99
Three letters picked without replacement from {y: 2, p: 2, a: 3, r: 4, b: 1}. What is prob of picking 1 r, 1 a, and 1 y?
6/55
Two letters picked without replacement from {l: 8, d: 2, v: 2}. What is prob of picking 1 v and 1 d?
2/33
What is prob of picking 1 n and 3 z when four letters picked without replacement from {n: 1, z: 5, w: 3, e: 1, v: 5, m: 3}?
1/306
What is prob of picking 3 g when three letters picked without replacement from {g: 3, i: 1, n: 4, p: 2, t: 4}?
1/364
What is prob of picking 1 c and 2 o when three letters picked without replacement from ooococoocco?
28/55
Two letters picked without replacement from wqswqhwfspph. What is prob of picking 2 q?
1/66
Two letters picked without replacement from oiutouxtuxuiuox. What is prob of picking 1 i and 1 t?
4/105
Two letters picked without replacement from ejjceceewrjn. Give prob of picking 1 n and 1 j.
1/22
Three letters picked without replacement from {x: 5, t: 7}. Give prob of picking 1 t and 2 x.
7/22
Three letters picked without replacement from {n: 5, h: 7}. Give prob of picking 3 h.
7/44
Calculate prob of picking 2 w when two letters picked without replacement from wppwpfw.
1/7
Two letters picked without replacement from {l: 2, f: 1, g: 2, z: 1}. Give prob of picking 1 g and 1 f.
2/15
What is prob of picking 1 s, 1 w, and 1 v when three letters picked without replacement from {b: 1, n: 4, w: 3, s: 3, u: 1, v: 3}?
27/455
Calculate prob of picking 1 f and 1 r when two letters picked without replacement from qjrfm.
1/10
What is prob of picking 1 f and 1 u when two letters picked without replacement from kfikffuuukknukf?
16/105
Calculate prob of picking 1 n and 2 f when three letters picked without replacement from nnnf.
0
What is prob of picking 1 q, 1 t, and 1 n when three letters picked without replacement from tlqnanaanaa?
1/55
What is prob of picking 1 p and 1 t when two letters picked without replacement from ttnwtpppwpwwttppxtw?
4/19
What is prob of picking 2 h and 2 s when four letters picked without replacement from hhshhhhllhhhllls?
9/455
Calculate prob of picking 1 z and 2 f when three letters picked without replacement from {y: 3, f: 2, k: 1, z: 1}.
1/35
Four letters picked without replacement from {d: 1, o: 2, h: 1, w: 2, k: 1}. What is prob of picking 2 o and 2 w?
1/35
What is prob of picking 1 d and 1 c when two letters picked without replacement from mdrodomcl?
1/18
Four letters picked without replacement from tectcytztzzctcze. Give prob of picking 2 e, 1 z, and 1 y.
1/455
Three letters picked without replacement from {b: 3, k: 11, x: 4}. What is prob of picking 2 b and 1 k?
11/272
Calculate prob of picking 3 q when three letters picked without replacement from {q: 3}.
1
What is prob of picking 2 n and 1 o when three letters picked without replacement from {o: 2, n: 16}?
5/17
Three letters picked without replacement from {u: 4, i: 6, c: 2, w: 3}. What is prob of picking 3 w?
1/455
Three letters picked without replacement from {i: 2, x: 7, v: 1}. Give prob of picking 1 v, 1 i, and 1 x.
7/60
What is prob of picking 2 i when two letters picked without replacement from iiiiiiiiii?
1
What is prob of picking 2 e when two letters picked without replacement from {u: 1, e: 2, w: 5, b: 1}?
1/36
What is prob of picking 2 w, 1 f, and 1 g when four letters picked without replacement from {w: 4, f: 2, n: 1, j: 1, g: 1}?
2/21
Calculate prob of picking 2 i when two letters picked without replacement from zzzzzzzizzizzizzizzi.
1/19
Three letters picked without replacement from {f: 3, s: 4, y: 10, j: 2}. Give prob of picking 1 j, 1 y, and 1 f.
20/323
Calculate prob of picking 2 y and 2 g when four letters picked without replacement from ghyggyygggghyggyy.
27/119
Four letters picked without replacement from tssctbctbsccst. Give prob of picking 1 s, 1 c, and 2 b.
16/1001
Two letters picked without replacement from {b: 2, v: 2, x: 1, f: 2, i: 1, h: 1}. What is prob of picking 1 h and 1 i?
1/36
What is prob of picking 1 r and 1 n when two letters picked without replacement from {e: 2, y: 1, p: 3, n: 1, a: 1, r: 5}?
5/78
What is prob of picking 1 w and 1 v when two letters picked without replacement from wvdvvdwvwdvvwdd?
8/35
Four letters picked without replacement from {m: 1, x: 1, f: 2, u: 1}. What is prob of picking 1 x, 2 f, and 1 m?
1/5
Four letters picked without replacement from {y: 2, u: 1, p: 4, r: 6}. What is prob of picking 2 p, 1 r, and 1 y?
72/715
Four letters picked without replacement from ajjjjjaaajaajjaaajjj. What is prob of picking 4 j?
22/323
Three letters picked without replacement from {r: 2, y: 4, v: 1, l: 3, w: 1}. What is prob of picking 2 y and 1 w?
2/55
Two letters picked without replacement from {l: 1, j: 1, w: 1, m: 1, c: 1}. Give prob of picking 1 j and 1 l.
1/10
Four letters picked without replacement from {z: 2, j: 1, r: 1, x: 1, o: 1, e: 1}. Give prob of picking 1 e, 1 z, 1 j, and 1 r.
2/35
Two letters picked without replacement from sdgueld. Give prob of picking 1 d and 1 g.
2/21
Calculate prob of picking 2 v, 1 i, and 1 q when four letters picked without replacement from {v: 2, q: 3, i: 10}.
2/91
Calculate prob of picking 2 e and 2 s when four letters picked without replacement from seseeseessee.
14/33
Two letters picked without replacement from {m: 1, v: 5, h: 3}. Give prob of picking 2 h.
1/12
Three letters picked without replacement from eekeuueeuueeeueezkuu. G | {
"pile_set_name": "DM Mathematics"
} |
14*x**5 - 799*x**2
Expand w**3 + 5*w**4 - w**3 + (1 + w - 1)*(60*w**3 - 61*w + 61*w).
65*w**4
Expand -2*i**3 + 2*i**4 + 2*i**3 + (0*i + 0*i + i)*(1346389*i**2 - 1346389*i**2 - 2875*i**3).
-2873*i**4
Expand (-3*g + 2*g + 10*g)*((28 - 20 - 15)*(-4 - 1 + 6) + 3 - 6 + 1).
-81*g
Expand (-1516 - 12*c - 1466 + 2945 + (-c - 5 + 5)*(-1 + 0 + 2))*(c**2 - 3*c**2 + c**2).
13*c**3 + 37*c**2
Expand (-b - b + 4*b)*(-2*b**3 + 0*b**3 + 5*b**3)*(-4 + 5 + 1 + (3 - 3 + 1)*(3 - 4 + 6) - 12 + 84 + 28).
642*b**4
Expand (0 - 3*k**2 + 0 - 51*k**2 + 5*k**2 + 29*k**2 + (0 - 1 - 1)*(1 - 1 + 2*k**2) - k**2 + 8 - 8)*(-3*k - 2*k + k + 0*k + 6*k).
-50*k**3
Expand (2 - 203*v + 194*v - 10)*(-8*v**2 + 26*v**2 - 14*v**2)*(4*v - v - v).
-72*v**4 - 64*v**3
Expand (2*v**3 + 2*v**2 - 2*v**2 + 2*v**3 + v**2 - v**2 + (2*v**2 + 2*v**2 - 2*v**2)*(-1 + 2*v + 1) - 26 - 2*v**2 - 3*v**3 + 26)*(-9*v - 8*v + 6*v).
-55*v**4 + 22*v**3
Expand (5878*v**2 - 1944*v**2 - 2205*v**2)*(17*v**2 + 65*v**2 + 0*v**2 + 30*v**2 + 0*v**2).
193648*v**4
Expand -2*a**2 + 2*a**2 - 5*a**2 + a**2 + (a + 4 - 4)*(0*a + 2*a + 0*a) - a**2 + 4*a - 4*a + 1 - 1 - 2*a**2 - 3*a**2 - 1 + 1 + 6*a**2 + 4*a**2 - 7*a**2.
-5*a**2
Expand 22*p - 14 + 12 + 0 + (-27 - 21 + 21)*(4*p + 4*p - 6*p).
-32*p - 2
Expand (2 - 4 - 1)*(5 + 1 + 0)*(3383 - 3383 + 608*d).
-10944*d
Expand -2*r**2 - r**2 - 2*r**2 + (-r + r - 2*r**2)*(4 + 0 - 6) - r**2 - 3 + 3 + (-6 + 3 + 2)*(3 - 5 + 0)*(-5*r**2 + 3*r**2 + r**2) - 9*r**2 + r**2 + 5*r**2.
-7*r**2
Expand (3*l**3 - 2*l**3 + 0*l**3)*(2*l + 4*l + 0*l) + 2 - 2 + 2*l**4 + (0*l**3 - 19*l**3 + 3*l**3)*(0*l + 0*l + 3*l).
-40*l**4
Expand (5 + 5 + 19)*(-670*y + 670*y - 75*y**3)*(-6*y + y + 4*y).
2175*y**4
Expand (4*g - 4*g + 2*g)*(0 - 8 + 42)*(1 + 0 + 1) + 4 - 4 - 3*g + (0 - 4 + 2)*(3*g - 2*g + 0*g).
131*g
Expand (-5*l + 2*l + 8*l)*(2 + 1 - 6) + 22*l + 2*l + 15*l.
24*l
Expand (v**4 - v**4 - v**4)*(-2 + 1 - 1)*(2 - 2 - 1)*(-4 + 4 + 2 + (3 + 0 - 5)*(4 - 1 - 1))*(149 + 82 - 78).
612*v**4
Expand ((c - 2*c + 2*c)*(c + 4*c - 3*c) - 4*c**2 - 5*c + 5*c)*(-4*c + 3*c + 2*c)*((1 + 1 - 3)*(1 - 1 - 1) + 15 - 3 - 5)*(7 - 4 - 4).
16*c**3
Expand 2*q**4 - 3*q**4 - q**4 - 240*q**3 + 124*q**3 + 117*q**3 - 75 - q**4 - 5*q**2 + (3 - 3 + 2*q)*(4*q**3 - 3*q**3 - 2*q**3) + 2*q**4 - q + q.
-3*q**4 + q**3 - 5*q**2 - 75
Expand (-2*s**2 - 3*s**2 + 6*s**2)*(9*s**3 - 2*s**3 + s + 28*s**3) - 3*s**5 + 0*s**5 + 9*s**5.
41*s**5 + s**3
Expand (3*v**4 - 3*v**4 - v**4)*(3*v + v + 2*v) + 182241 + 385*v**5 - 182241.
379*v**5
Expand (-2*n**4 + 4*n**4 + n**4)*(1 - 2 + 7) + 230*n - 85*n**4 - 230*n.
-67*n**4
Expand (-5 + 19 + 1240*a - 1238*a)*(-27*a + a - 34*a).
-120*a**2 - 840*a
Expand (-2 - 7 + 7)*(-4*b + 3*b**3 + 4*b) + (-2*b**2 + b - b)*(9*b - 11*b - 7*b).
12*b**3
Expand (-1 - 1 + 3 + (0 - 2 + 0)*(2 + 0 + 2) - 3 - 1 + 8 - 2 - 7 + 1)*(0 + 4 + 1)*(3 - 3 + g).
-55*g
Expand (184 - 32*j - 184)*(-60*j**2 + 10 + 6 - 17).
1920*j**3 + 32*j
Expand -t**4 + t**2 - t**2 + 0*t**4 + t**4 - 3*t**4 + (0 + 0 + 2*t**2)*(2*t**2 - 2*t**2 - t**2) - 72*t**4 - 81*t**4 + 173*t**4 + (3*t**3 + 3 - 3)*(0 - 2*t + 0).
9*t**4
Expand (-1 + 1 - g)*(-21629*g**2 + 37 - 20930*g**2 - 21507*g**2 + 65110*g**2).
-1044*g**3 - 37*g
Expand 0*u**2 + 2*u**2 - u**2 + (-u**2 + 4*u**2 - 2*u**2)*(77 + 186 - 79).
185*u**2
Expand ((-4 - 1 + 3)*(-2 + 3 + 0) + 7 + 2 - 3)*(23 - 20665*g + 20605*g - 3).
-240*g + 80
Expand (-21 + 36 - 19)*(-184 - 78 + 53)*(2*z + z + z + 2*z**3).
1672*z**3 + 3344*z
Expand (0 - 2*u**2 + 0)*(1 + 1 - 1 + (-7 - 8 + 0)*(-1 - 4 + 0)).
-152*u**2
Expand (-1542*a + 83048 - 83048)*(-3*a**2 - a**2 + 2*a**2).
3084*a**3
Expand (-3 + m + 3)*(-2 + 0 + 1) - 140*m + 24*m - 96*m + (1 + 2 - 2)*(-3*m + 5*m + m) + 3 - 3 - m.
-211*m
Expand (-272 - 122*y + 272)*(3*y + 3 - 6 - 6).
-366*y**2 + 1098*y
Expand (d + d + d)*(18 - 7 + 10)*(-13 - 8 + 7).
-882*d
Expand 0*o - 2*o + 4*o + (-4 + 2 + 4)*(1 - 1 + 2*o) - 173*o + 58*o + 91*o - 2*o + 0*o - 2*o + 0 + 0 - 2*o + (0 + 2*o + 0)*(-4 - 2 + 5) - 2 + 2 - o.
-27*o
Expand (0*o + 4*o - 3*o)*(8 + 2 - 9)*(-4*o + 3*o + 2*o) - 10 + 10 - 5*o**2.
-4*o**2
Expand (51*l**2 - 55*l**2 + 76*l**2)*(-2*l**2 + 2*l**2 + 12*l**3) + 3*l**5 - 2*l**2 + 2*l**2.
867*l**5
Expand -2*f + 28*f + 12*f + 0*f + 3*f - 4*f + (0*f + 2*f - 4*f)*(2 - 3 + 2) + 2*f - 4*f + 3*f + (3*f - 5*f + 0*f)*(0 + 0 - 1) - 8*f + 16*f - 5*f.
41*f
Expand (q - 2*q + 2*q)*(-q + 4*q - 4*q)*(30 + 4 + 9) + 6*q**2 + 3*q**2 - q**2.
-35*q**2
Expand (96*l**4 + 155*l**2 - 72*l**4 - 174*l**2)*(-2 - 2 + 2).
-48*l**4 + 38*l**2
Expand (2*a - 2*a**2 - 2*a)*(3*a + 0*a - 5*a) - 2*a**3 + 0*a + 0*a + 4*a**2 - 70*a**3 - 5526 + 5526.
-68*a**3 + 4*a**2
Expand (s**4 - 1 + 1)*(-2 - 1 + 5)*(-2*s + 0 + 0) + 429*s**5 + 471*s**5 + 881*s**5.
1777*s**5
Expand (-2020*o + 1562*o + 1233*o)*(14 - 12 + 16)*(0 + 2 + 0).
27900*o
Expand (-47*o - 3*o - 44*o)*((4 + 0 - 1)*(-3 + 3 - 2) - 4 + 5 + 9).
-376*o
Expand (-14*k + 6*k + 9*k)*(0*k**2 - 6*k**2 - 7 + 8) + 2*k**3 + 4 - 4 + (2*k**2 + 0*k**2 + 0*k**2)*(-k - k + 3*k) + 3*k**3 - 2*k**3 + 3*k**3 - 1 - k**3 + 1.
k**3 + k
Expand (-93 - 349 - 233)*(-21*t + 11*t + 5*t) - 2*t + 0*t + 0*t.
3373*t
Expand c**4 - c**4 + 3*c**4 + (7*c + 11 - 11)*(85*c + 13*c**3 - 85*c).
94*c**4
Expand (k**4 + 3*k**4 - 2*k**4)*((-k + 2*k + 0*k)*(3 - 1 - 1) + 3096 - 3096 - 78*k + 4*k + 2*k - 4*k - 7*k - 3*k + k).
-168*k**5
Expand (122 + 189 + 253)*(3*r + 2 - 3*r + 2*r).
1128*r + 1128
Expand (-11*f**2 + 8*f**2 - 10*f**2)*(4 - 2 + 0)*(228*f + 4168 + 0*f**2 - f**2 - 4166).
26*f**4 - 5928*f**3 - 52*f**2
Expand (-204 + 234*f + 196*f - 427*f)*(-f**2 + 7*f**2 - 5*f**2).
3*f**3 - 204*f**2
Expand (-26*h**2 + 82*h**2 - 23*h**2)*(6*h**3 - 19*h**2 + 19*h**2).
198*h**5
Expand ((6 + 1 - 4)*(1 - 1 + m) - 8*m - 10*m - 2*m)*(-m + m + 2*m**2) + 0*m**3 - 4*m**3 - 2*m**3 + (5*m**2 + m**2 - 4*m**2)*(2*m + m - 4*m).
-42*m**3
Expand (-4*l + 3*l - l)*(-6164*l + 12372*l - 8423*l).
4430*l**2
Expand b - b + 2*b**2 + 2*b**2 + b**2 - 6*b**2 - 2*b**2 - b + b + (0 + 0 - b)*(-3 + b + 3) - 58*b**2 - 120*b**2 - 24*b**2.
-206*b**2
Expand (0*w + 5*w - 2*w + (-1 + 1 + 2*w)*(-2 + 2 - 2) + 796 + 800 - 1598 + 272*w)*(0 + 2 - 1)*(1 + 1 - 3)*(3 + 4 - 5).
-542*w + 4
Expand (10 - 15 - 25)*(897*y + 186992 - 186992).
-26910*y
Expand (61 - 9*l - 10*l + 21*l)*(-48*l - 14*l**3 + 48*l).
-28*l**4 - 854*l**3
Expand ((0 - 4 + 5)*(1 + 2 - 1) + 0 + 5 - 3 + (132 - 13 + 1422)*(0 + 0 - 2))*(-2*a**5 + 5*a**5 - 2*a**5).
-3078*a**5
Expand (164*x**3 + 30855 - 30855)*(-8*x + 24 + 2*x + 3*x - 10).
-492*x**4 + 2296*x**3
Expand -7*y**4 + 7*y**4 + 6*y**5 + (4*y**5 + y**5 - 4*y**5)*((-1 + 1 + 2)*(-1 - 1 + 4) + 11 + 13 - 2).
32*y**5
Expand (-3 + 7 - 5*v - 12)*(-4*v + 3*v + 2*v + (-9 + 1 + 4)*(-2*v - 2*v + 2*v)).
-45*v**2 - 72*v
Expand 47*j**2 + 9358*j**5 + 5257*j**5 - 47*j**2 + j**5 - 3*j**5 + 0*j**5 + (0*j**3 - 2*j**4 + 0*j**3)*(-2*j + 3*j - 2*j) - 1 + 2*j**5 + 1.
14617*j**5
Expand (6*l - 4*l + 0*l)*(-12403 + 12403 + 21022*l).
42044*l**2
Expand (4*q - q - 5*q)*(-q**2 - q**2 + q**2) + (q**3 + 0 + 0)*(35 + 39 + 27) - 3*q + q**3 + 3*q + (-3*q**3 - 3*q**3 + 5*q**3)*(-2 + 3 - 7).
110*q**3
Expand (-u + 0*u + 7*u)*(-4 - 32 - 30)*(-u + 3 + 1 - 3).
396*u**2 - 396*u
Expand 2 - q + 1 - 1 - 4*q + 2*q - 5*q + q + q - 3*q + 3*q + 0*q - q + (-4 + 4 + 2*q)*(1 - 1 + 1) + 3*q - q + 0*q - 3*q + 4 - 4.
-6*q + 2
Expand 2*i**4 - 2*i**4 - 2*i**5 + (-3 - 3 - 2)*(2*i**4 + 4*i**4 - 4*i**4)*(6*i - 253 + 253).
-98*i**5
Expand -5 + t**2 + 5 + (-5 + 5 + 20*t)*(-30 - 57*t + 30).
-1139*t**2
Expand (-13*m + 30*m + 3*m)*(-2*m**4 + 0*m**4 + 0*m**4) - m**3 + 804*m**5 - 5*m**3 - 822*m**5.
-58*m**5 - 6*m**3
Expand -91*y + 91*y - 22*y**3 + (18 - 18 + 11*y)*(5*y - 7*y + 3*y)*(2*y - y + 5*y).
44*y**3
Expand (-2 + 0 + 0)*(-6928*b**2 + 1338992*b - 1338992*b).
13856*b**2
Expand (f - 2*f + 0*f)*(120*f**2 - 74*f**2 + 366*f**2) - 18 + 18 + 21*f**3.
-391*f**3
Expand 2*d**3 - 3*d**3 + 0*d**3 + (5 + 5 - 4 + (2 - 3 - 1)*(2 - 3 + 2) + (4 - 1 - 1)*(2 + 0 - 1))*(5 - 4 - 2)*(3*d**3 - 2*d**3 - 9*d**3).
47*d**3
Expand (45*w + 43*w - 9*w)*(-6 + 0 + 3 + (6 - 2 - 3)*(-4 - 1 + 3) - 2 + 0 + 0) - 78 + 43*w + 78.
-510*w
Expand (6*y - 4*y**3 - 199 + 186 - 9*y)*(5*y + 0*y + 5*y - 3*y + 3*y - 2*y + (0 + 3 - 1)*(2*y + 2*y - 5*y) + 0*y - y + 0*y).
-20*y**4 - 15*y**2 - 65*y
Expand (-c**2 + 50*c - 50*c)*(-1455*c**3 + 1135*c**3 + 686*c**3) + (3 + c - 3)*(2*c**4 | {
"pile_set_name": "DM Mathematics"
} |
by x(-6)?
2
Suppose -8*j = -3*j + 10. Let z = j - -9. Suppose 0*b + 2*c + 45 = 5*b, 3*c - 15 = 0. Calculate the remainder when b is divided by z.
4
Suppose -3*x = 5*k - 198, -2*x + 132 = 16*k - 12*k. Calculate the remainder when 215 is divided by x.
17
Suppose -7*i + 62 = -8. Suppose -5*t = -i*t + 135. What is the remainder when 49 is divided by t?
22
Let u = -64 - -69. Suppose -t + 70 = -3*x, u*x - 200 = -5*t + 210. Let j = 16 + 4. What is the remainder when t is divided by j?
19
Let y = 323 - 184. Let h = -130 + y. Calculate the remainder when 50 is divided by h.
5
Suppose -3*m + 694 = -2*k, -2*m + 451 = -2*k + 3*k. What is the remainder when m is divided by 46?
44
Suppose 4*a = a. Suppose -3 = i, a = -0*p - 2*p - 2*i - 2. What is the remainder when 39 is divided by (-14 + -6)*p/(-4)?
9
Suppose 0*t - 5*t + 2*r = -1342, 2*r + 262 = t. Let l = -160 + t. What is the remainder when l is divided by 14?
12
Let v(k) = -k**3 + k + 92. Let b be v(0). Suppose -4*a + 2*w + 0*w + 100 = 0, 4*a - 4*w - b = 0. Calculate the remainder when -106*-1*(1 + 0) is divided by a.
25
Suppose 0 = -3*p - 0*p + 4*l - 4, 3*l = 3*p + 3. Suppose -4*c + 5 - 1 = p. Suppose c + 0 = -g, 4*g = -2*i + 20. Calculate the remainder when 45 is divided by i.
9
Let v be 4*(70/8 + 2). Suppose -3*k - 4*f + 2*f = -v, 16 = k - f. Let q = -11 - -15. What is the remainder when k is divided by q?
3
What is the remainder when (((-20240)/24)/11)/((-4)/24) is divided by 66?
64
Let f(s) = s + 1. Let o(m) = -5*m - 59. Let d(v) = -6*f(v) - o(v). What is the remainder when d(0) is divided by 14?
11
Let c = 3086 - 3051. Suppose 0 = -0*m - 5*m + 515. Calculate the remainder when m is divided by c.
33
Suppose 0 = 4*d - 3*d - 28. Let l = d - 14. What is the remainder when 52 is divided by l?
10
Suppose -n - k - 3 = -7, 0 = 3*n + 5*k - 8. Let s = 25 - n. What is the remainder when 35 is divided by s?
16
Let r = 49 + -33. Let a(k) = 2*k**3 - 3*k**2 + 2*k + 2. Calculate the remainder when r is divided by a(2).
6
Let t(d) = d**2 + 6*d + 5. Let q be t(-4). What is the remainder when 3/(9/(-4))*q is divided by 2*(77/42 - 1/3)?
1
Let n(k) be the second derivative of -k**3/6 + 19*k**2 + 2*k - 16. What is the remainder when 44 is divided by n(30)?
4
Suppose 2 = r - 2*l, 0*r + 5 = 4*r - 5*l. Suppose 2*y = 2*s - 16, s + r*y = 2*y + 9. What is the remainder when 108/360 + 214/20 is divided by s?
4
Suppose -k + 4 = 2. Suppose 2*f + k*c = 16 + 36, 4*f - 2*c = 116. Calculate the remainder when f is divided by 10.
8
Suppose 0*q + 2*q - 28 = 0. Suppose -3*s - 36 = -2*p, -s - 3 - q = -p. What is the remainder when p is divided by 9?
6
Suppose 5 = -w + 2. What is the remainder when (-16)/w - 8/24 is divided by (-3)/2*(-1 + -1)?
2
Suppose -3*h + h = -24. Let d be (-2)/8 - (-3)/h. Suppose 4*v - 3*v - 21 = d. What is the remainder when 41 is divided by v?
20
Let w(k) = -k**2 - 19*k + 6. Let r be w(-18). Suppose 3*x - 5*s + r = 5*x, -2*x + 8 = s. Calculate the remainder when 6 is divided by x.
0
Suppose 17*z - 20 = 48. What is the remainder when z is divided by 2?
0
Let f be (-6)/2*32/48. Suppose -5*b + 56 = -14. Calculate the remainder when (130/f)/5*-3 is divided by b.
11
Suppose -5*w + 730 = 80. Let g(z) = z**2 - 6*z + 3. Let r be g(6). Suppose -3*f + 66 = -f - r*o, 0 = -4*o. Calculate the remainder when w is divided by f.
31
Let y(q) = 12*q - 14. Let g be y(-5). Let k = g - -105. What is the remainder when 92 is divided by k?
30
Let p = -12 + 7. Let h = 38 - p. Let w = 0 + 15. Calculate the remainder when h is divided by w.
13
Suppose 3*n - 47 - 6 = -4*z, 4*z - 38 = -2*n. What is the remainder when 99 is divided by n?
9
Let q = -57 + 106. Calculate the remainder when q is divided by -20 - 3382/(-171) - 472/(-18).
23
Let l = 491 + -460. What is the remainder when 114 is divided by l?
21
Suppose -2*o + 32 = -186. Suppose 0 = 5*j - 358 - 197. Suppose -j = 11*x - 14*x. What is the remainder when o is divided by x?
35
Let f be (153/(-36))/(2/(-56)). Let m = f + -77. Calculate the remainder when m is divided by 9.
6
Suppose 0 = u + 4*s - 7, 6*u - 5*s = u + 85. Suppose -3*v = -0*v - 15. Suppose -n - 228 = -v*n. What is the remainder when n is divided by u?
12
Suppose 0 = m + 7*m - 104. What is the remainder when 101 is divided by m?
10
Let g = -185 + 227. What is the remainder when 752 is divided by g?
38
Let n(q) = -q**2 + 26*q - 96. What is the remainder when 309 is divided by n(20)?
21
Let t be 3/(-15) + 63/15. Suppose -34 + t = -5*n. Suppose 48 = 5*l - 32. What is the remainder when l is divided by n?
4
Let a(p) = -11*p**2 - 2*p - 1. Let o be a(-1). Let r(h) = -2*h - 13. Let l be r(o). Let x = 16 - l. Calculate the remainder when 42 is divided by x.
6
Let d = 361 - 344. What is the remainder when 233 is divided by d?
12
Let n(d) = -d**3 + 13*d**2 - 24*d + 38. Calculate the remainder when 112 is divided by n(11).
0
Suppose 0 = -3*v + 4*n + 5, 0*n = -5*v + n - 3. What is the remainder when (5/(20/6))/(v/(-10)) is divided by 46/6 + 1/3?
7
Let y = 2 - -24. Let m(j) = 6*j**2 - 43*j - 196. Calculate the remainder when m(-4) is divided by y.
20
Let h = -12 - -14. Suppose -h*g = 3*g. Suppose g = 3*o - 30 - 6. What is the remainder when o is divided by 7?
5
Suppose -214*q = -199*q - 195. What is the remainder when q is divided by 9?
4
Calculate the remainder when ((-298)/(-4))/((-4)/(-24)) is divided by 64.
63
Suppose -57*s - 170 = -z - 58*s, -2*z + 325 = -3*s. Calculate the remainder when 1335 is divided by z.
166
Let q = 106 + -82. Let h(f) = -1 + 3*f - 4*f + 0*f**2 - 2*f**2 + 2*f**3 - f**3. What is the remainder when h(5) is divided by q?
21
Let p(m) = m**3 + 6*m**2 - 26*m - 59. Calculate the remainder when 121 is divided by p(-8).
16
Suppose 5*p = -5*y - 50, 4*p - 4*y + 5 = -3. What is the remainder when 77 is divided by (-2)/p - ((-115)/15 + 0)?
5
Suppose 2*m + 5*w - 17 = -0*w, -4*w = -2*m + 44. What is the remainder when m is divided by 13/(-78) + ((-86)/(-12) - 0)?
2
Suppose -20 = 5*i, 0 = 2*w + 2*w + 5*i + 68. Calculate the remainder when (-25)/5*w/20 is divided by 2.
1
Let r be -190*-2*(-3)/(-15). Suppose 0 = -4*u - 5*n + 279, 0*u - u + 5*n + r = 0. What is the remainder when u is divided by 36?
35
Let b = 9 + -5. Suppose 0 = b*q - 6 - 26. Suppose q*m - 10*m + 30 = 0. What is the remainder when m is divided by 6?
3
What is the remainder when 218 is divided by 6 - 2/((-6)/147)?
53
Suppose 10*b - 105 = 3*b. Calculate the remainder when b is divided by (-3)/(-2)*(7 - 1).
6
Let g be (9 - 11)/(1/2). What is the remainder when 119 is divided by g/(-4)*(30 + 0)?
29
Suppose -7*r = -3 - 452. Calculate the remainder when 72 is divided by r.
7
Suppose -5*h + j = -58 - 1, -4*j - 5 = h. Let p(k) = 2*k**2 - 21*k - 2. Calculate the remainder when 22 is divided by p(h).
4
Let c = 88 - 86. Suppose 2*y - 24 - c = 0. What is the remainder when y is divided by 3?
1
What is the remainder when 114 is divided by -3 + (-50)/(-15) + 2280/45?
12
What is the remainder when ((-42)/(-5))/(1/5) is divided by (7 - (-195)/(-20))/((-3)/12)?
9
Suppose 4 + 4 = -t. Suppose -17*b - 253 = 495. Calculate the remainder when 43 is divided by t/16*(b - 2).
20
Suppose -4*y - 4*t - 1040 = -9*y, -2*t - 832 = -4*y. What is the remainder when y is divided by 42?
40
Let v = -45 + 36. Suppose 0 = -h + 2*i + 11, -5*i + 15 + 7 = 3*h. Calculate the remainder when (-3)/v + 501/h is divided by 19.
18
Let i = -4 + 6. Let g be (1 - -17)*(21/6 - 3). Suppose 0 = -2*v + 2*z + 2, z + g = 4*v - 2*z. Calculate the remainder when v is divided by i.
0
Suppose 4*l - 3*a = -522 + 21, l + 4*a + 111 = 0. Let j = l + 131. Calculate the remainder when j is divided by 6.
2
Let z(o) = 42*o - 167. Calculate the remainder when z(5) is divided by 27.
16
Suppose z + 256 = 3*z. Calculate the remainder when z is divided by (-8)/8*(15 - 58).
42
Suppose -54*z + 11552 = -1840. What is the remainder when z is divided by 55?
28
Let t = 208 + -145. Let k = 0 + t. What is the remainder when 376 is divided by k?
61
Suppose 0 = 857*k - 853*k - 120. Calculate the remainder when k is divided by 4.
2
Let k(l) = -l**3 - 13*l**2 - 5*l - 32. Calculate the remainder when 196 is divided by k(-13).
31
What is the remainder when 186 is divided by (-36)/((-4 - (-48)/6)/(-3))?
24
Let t(n) = -n - 7. Let k(y) = -1. L | {
"pile_set_name": "DM Mathematics"
} |
b
Let r be 1 + 0*(10/(-6))/5. Suppose -4*d - r + 2 = z, 3*d + 4*z = 17. Let x be -5 + 0 + (-2)/(-2). Which is the nearest to d? (a) x (b) -0.5 (c) 0.5
b
Let x(o) = -o - 7. Let q be x(-7). Which is the closest to q? (a) -2/11 (b) -0.3 (c) 0.02
c
Suppose x - p = 13, -5*x + 2*p + 5 = -60. Let l be (156/38)/(-8 + x). Let y = l - 8/19. Which is the closest to y? (a) -2/9 (b) 0.4 (c) -5
b
Suppose -3*h + 46 - 28 = 0. Let i be 306/420 - h/14. Let k = i - 11/70. Which is the closest to -1? (a) k (b) 1/2 (c) 0.3
a
Let t = 1/15 + 13/30. Let j = -156 - -78. Let b be (5 - (-402)/(-78)) + (-38)/j. What is the closest to -1/2 in b, t, 3?
b
Suppose -18*g + 11 = -25. Which is the nearest to 1/4? (a) -4 (b) 6 (c) g
c
Let c = -17.1 + 108.1. Let s = 90.8 - c. What is the closest to 0.07 in 12, -4, s?
s
Let j = -372 - -371.7. What is the nearest to -2/3 in 3/8, -1/2, j, 2/9?
-1/2
Let i = -0.5 - -0.8. Let n = 3174 - 3170. Which is the closest to 0? (a) 2 (b) i (c) n
b
Suppose -4*r = -4*o - 5*r + 4, 5*r = o - 22. Let y = -9 - -28. Which is the nearest to -1? (a) o (b) -1/4 (c) y
b
Let y = -0.05 - 4.95. Let o be 335 - 329 - (0 - 2 - -7). What is the nearest to 0.2 in -3, y, o?
o
Let o = -0.336 + -4.664. Which is the closest to -4? (a) -0.1 (b) -9 (c) o
c
Let r = -20 - -11. Let i = -11 - r. Let o = -1.1 - -2.1. What is the closest to o in i, -4, -4/9?
-4/9
Let u be 2 - (-2)/(0 + -2). Let m be u - ((-33)/(-6) - 3). Which is the nearest to 2/5? (a) -3 (b) 2/7 (c) m
b
Let g = -495.8 - -496. Let b = 0.06 + -2.06. What is the nearest to -0.1 in g, b, -5?
g
Let m = 0.653 + 3.347. Which is the nearest to 0? (a) 2/5 (b) -3/4 (c) -2 (d) m
a
Let y = -7/15 + 19/105. Let l = -1.126 - -1.32. Let d = l + -0.094. Which is the nearest to y? (a) d (b) 2 (c) -2
a
Let p = 18 + 0. Let d = p + -9. Let o = d + -10. Which is the closest to o? (a) 0.3 (b) 2/13 (c) -0.1
c
Let f be -6 - 8/((-96)/68). What is the nearest to f in -1/4, -1/3, -1, 4?
-1/3
Let c = -0.6 + -6.4. Let t be (-2)/(-4)*-2*-4 + 3. Let n be (90/(-120))/(t/8 - -1). What is the nearest to 2/7 in 4, c, n?
n
Let i = 14 - 14.4. Let c = 88/3 - 29. Let x = 141 + -421/3. What is the nearest to i in 0.1, c, x?
0.1
Let f = -510 + 510.34. What is the closest to 0 in -3/5, -4, f?
f
Suppose -5 = 5*s, k - 4*s - 3 = s. Let o be (k + 4)*(-4)/(-8)*4. What is the nearest to -1/3 in 2/7, o, -0.2?
-0.2
Let u = 44/29 + -103/87. Let w = 5.8 - -0.2. Let v = w + -8. Which is the closest to v? (a) -4 (b) u (c) -0.5
c
Let w be 4 + -1 - (-68)/64*-4. Suppose 25 = -22*j - 3*j. Which is the nearest to j? (a) w (b) -3 (c) -5
a
Let j = -0.5 - -3.5. Suppose 0 = 3*u, -4*u = 4*r + 226 - 2. Let g = -505/9 - r. What is the closest to 1 in g, j, 0.5?
0.5
Let v(r) = r**2 + 6*r - 8. Let s be v(1). What is the nearest to 2.3 in s, 1/10, 3/5?
3/5
Let w be (3/(-5))/(18/(-12)). Let v be 3/(-10) + (-8)/40. Which is the nearest to 0.1? (a) w (b) v (c) 0.19
c
Let r = 327 - 326.9. Which is the nearest to -3/2? (a) r (b) -0.03 (c) 0.4
b
Let a be (-8 + -1)/(-3)*6/18. What is the nearest to a in 0.5, 3, 23, -0.5?
0.5
Let c = 0.3 - -0.2. Let d(y) = 3*y - 21. Let a be d(6). Let l be ((-12)/18)/(7/a + 1). What is the closest to l in 2, -4/5, c?
c
Let p be (-24)/56*2/(-3). Let z = -0.8 - -0.3. Let b(t) = -t**3 + t**2 + 91*t - 8. Let m be b(10). What is the closest to p in -1, m, z?
z
Let x be (-5)/(-1)*(-273)/(-35). Let q = -81/2 + x. Let s = -0.02 + 0.22. Which is the nearest to s? (a) q (b) 0.5 (c) 2
b
Let h = -45/367 + 24547/17616. Let q = h - -1/16. Which is the nearest to 0.1? (a) q (b) 14 (c) -1
c
Let s = 7/10 + -69/70. Let l = -2.56 + -0.44. Which is the closest to -1? (a) l (b) s (c) -4
b
Let o be -3 - (-3)/(-6)*(-3 + 3). What is the nearest to 1 in o, 0, 2/15?
2/15
Let u = -4.61 + 55.51. Let t = -51 + u. What is the nearest to 1 in 12/7, 1/3, t?
1/3
Let z be (-1 - -1)/(3/(-3)). Let s(j) = 4*j + 22. Let x be s(-7). Let l be (-1)/((-6)/(-4)) + (-1)/x. Which is the nearest to z? (a) -4/7 (b) l (c) 5
b
Let q = -741 + 741.01. What is the closest to 1/3 in q, -5, -2?
q
Let p = -2/71 + -116/923. Which is the nearest to 0.02? (a) -11 (b) p (c) -4
b
Let v = 3.01 + -0.01. Let h be 614/90 + -2 - 4. Let w = h - 3/5. What is the closest to v in -0.2, w, 2?
2
Let k = 3.108 + -3.1. Let n = 1.008 - k. Which is the closest to n? (a) 0 (b) -5 (c) 5
a
Let i be 5/(-11)*2/(-5). Let u = 16805.9 - 16806. Which is the closest to u? (a) -4 (b) -2.7 (c) i
c
Let c = 1.3 + -19.3. Let i = 29 + c. Let z = i + -10.7. What is the nearest to -1 in 2, z, 5?
z
Let l = -24.237 + 0.237. What is the nearest to l in -1, -3, 5?
-3
Let q = -0.005 - 0.395. Let o = 7 + -7.5. What is the closest to 0.1 in q, o, 0.1?
0.1
Let q = -1682/7 - -240. What is the closest to -0.4 in -1/2, 1/3, q?
-1/2
Let o = 10 - 25. Let m = o + 20. Let h = 20/63 - 2/63. What is the nearest to -0.3 in h, 1/4, m?
1/4
Let o = 10.59 + -10.79. Let v = 0.06 + -4.06. Which is the closest to v? (a) o (b) -2/3 (c) -2
c
Let t = -0.14 - 0.26. Let u = 25.9 + -26. Which is the nearest to 1? (a) t (b) u (c) 4/7
c
Let c = -1.596 - -1.536. What is the nearest to 2/5 in 0.2, -0.05, c, 3/4?
0.2
Let c = 33 + -46. Let g = c + 13.3. Let d = 4 - 3. What is the nearest to d in g, 1, 0?
1
Let i(b) = 24*b - 26. Let f be i(1). Let t = -12/25 + 22/25. What is the nearest to t in -4, f, 0.3?
0.3
Let o = 0.0364 + -0.5364. Let n = -4 + 6. Which is the nearest to -2? (a) 0.5 (b) o (c) n
b
Let z = -43 + 46. Suppose -6*u - 3*r - z = -3*u, -2*r - 8 = 0. Which is the nearest to u? (a) -1 (b) 1 (c) -4
b
Let s = 0.46 + -0.5. Let o = -0.08 + -3.88. Let b = o + s. What is the nearest to 0.2 in b, 4/3, -0.5?
-0.5
Let p = -0.482 + 0.282. Which is the nearest to 0.2? (a) p (b) -1/3 (c) -8
a
Let x = -927 - -928. What is the closest to x in 0.2, -1, -2/9, -31.9?
0.2
Let m = 0.31 + -0.01. Let n be (-36)/12*6/45. Which is the closest to n? (a) m (b) -4/5 (c) 5
b
Let o = 1.2 + -1.2. Let k = -0.1 + o. Let u = -5.1 - k. What is the closest to 2/5 in -1, u, -0.4?
-0.4
Let z = -1419/2 - -709. Let f = 0.31 + -0.01. Which is the closest to 0.2? (a) z (b) f (c) -0.4
b
Let m = -0.4 + -3.6. Let s = -27 - -26.8. Let n = 0.1 + -0.2. What is the nearest to n in s, 0.5, m?
s
Let x = -6 + 2. Let k = -639 - -649. What is the closest to -1/3 in k, -3/5, x?
-3/5
Let s be (-471)/(-43) + 418/(-38). What is the closest to 1 in 5, 0.3, 1, s?
1
Let y = 27 - 40. Let r = 14 + y. Let q = -0.077 - 0.023. Which is the nearest to 0.1? (a) q (b) r (c) -3
a
Let h = -40 - -44. Let g = h - 3.8. Let m be (-10)/4*8/(-10). Which is the closest to 0.1? (a) g (b) m (c) -5
a
Let w = -70.6 + 68. Let b = -2.7 - w. Let o(y) = y**2 - 4*y + 5. Let n be o(4). What is the closest to b in n, -2, -1?
-1
Let q = 1 - 1.1. Let u be (-1053)/(-45) + 6/(-15). Let v = u - 21. What is the nearest to v in 4, -2, q?
4
Let m = 1/118 + 229/826. Let g be ((-13)/2)/((-3)/(-18)). Let y = g - -118/3. Which is the nearest to m? (a) 0.2 (b) -0.4 (c) y
c
Let z = -9 + 5. Let h = 694 + -692.868. Let s = -0.132 + h. Which is the nearest to 0.1? (a) s (b) 1/10 (c) z
b
Let r = -16 - -8. Let c = 12 + r. Let x be 0 - ((-24)/(-20))/3. What is the nearest to x in c, -0.3, 0.3?
-0.3
Let r = -0.5 - -1. Let v = 65.32 - 7.22. Let y = -58 + v. What is the closest to y in 0, r, 0.4?
0
Let p = -13284 + 199072/15. Let n = p - -66/5. What is the closest to 0.1 in 0, n, -0.4?
0
Let q(k) = 2*k - 21. Let v be q(6). Let y be 25/60 - (v/(-12))/3. Let x = 0.3 - -1.7. Which is the closest to -0.1? (a) x (b) -0.2 (c) y
b
Suppose -198*w + 5*t + 50 = -193*w, -5*w + 3*t + 38 = 0. Let i be (-27)/6 - 2/4. What is the nearest to -0.1 in i, 2, w?
2
Let g = 23.1 - 21. Let d = g + -0.1. Which is the closest to -0.1? (a) 0 (b) -1/10 (c) d
b
Let u = 6.4 - 6. Let i = 2634 + -10533/4. What is the nearest to 0.1 in i, u, 2?
u
Let j = 27 + -41. Let m = 15 + j. Let y = -7 - -5. What is the closest to m in y, 0.4, 0?
0.4
Let k be ((-2)/(-6))/((-2)/(-18)). Let w(x) = x**3 - 11*x**2 + 9*x + 8. Let n be w(10). Let d be 3/(-3*n/10). Which is the closest to 0? (a) d (b) 0.2 (c) k
b
Let o = 1.1 + -0.1. Let x = -2 - o. Let p = -2 - -4. What is the closest to x in p, 2/3, 1/2?
1/2
| {
"pile_set_name": "DM Mathematics"
} |
*q + 5*a = -29 - 1 for q.
1
Solve 2*s = 4, 2*s = r + 2*r - 11 for r.
5
Solve 2*t + 4*q - 8 = 0, 4*t + 1 - 8 = q for t.
2
Solve 4*h - 20 = 0, 4*y - 32*h + 12 = -28*h for y.
2
Solve 0 = -4*g - 4, g = 5*b + 6*g for b.
1
Solve -l = 3*j - 11, 2*l + 2 = -2*j - l for j.
5
Solve -n = -w - 8, 0 - 6 = 2*w for n.
5
Solve 3*p = -3*y - 15, y = p - 12 + 13 for y.
-2
Solve 0 = 3*o + 6, p + p + 5*o = -3*p for p.
2
Solve -4*k = 3*u - 31, -5*u + 38 - 5 = 2*k for k.
4
Solve -8*r + 5*w + 32 = -12*r, -5*r - 5*w - 35 = 0 for r.
-3
Solve 25 - 31 = 2*u + 3*m, -5*u - m = -11 for u.
3
Solve 0 = -16*m + 21*y - 17*y + 52, 0 = 5*y + 25 for m.
2
Solve 4*x + 2 = -2*z, 6*x = -5*z + 11*x + 25 for z.
3
Solve 2 = j + d, -3*j + 82*d + 4 = 84*d for j.
0
Solve 4*m - 16 = 0, -5*m + 2 + 34 = -4*h for h.
-4
Solve 3*l = -9, 2*x + 2 = l + 9 for x.
2
Solve -4*t + 3*c + 5 = -0*c, 2*t - 5*c = -15 for t.
5
Solve -3*p - 4 = 5*f + 9, 4*f = p - 7 for f.
-2
Solve g + 2*i - 1 + 7 = 0, -5*g + 14 = -i for g.
2
Solve v = 1, 0 = -l - v - 0*v - 2 for l.
-3
Solve -4*s + 168 = -2*o + 188, s + 5 = 0 for o.
0
Solve 0 = c + 4, 10*v + 4 = 6*v - 5*c for v.
4
Solve -2*t - 18 = -2*w, 5*w = 21 - 1 for t.
-5
Solve -g = 4*v - 19, 53*v - 4*g = 56*v - 11 for v.
5
Solve 2*f + 2 = -4*a - 0*a, -5*a = -2*f + 25 for f.
5
Solve 0 = -5*g + 6*m - 32, 3*m - 7 = -1 for g.
-4
Solve 0 = -3*y + 5*i + 23, -3 = 3*i + 9 for y.
1
Solve 5*w + 20 = 3*b, 51*w - 47*w + 2*b = 6 for w.
-1
Solve -l + 5*l - 3*i = 4, -3*l - i = 10 for l.
-2
Solve -5*m - 5*y = 5, 5 = -4*m - m + y for m.
-1
Solve v - 2 = 5*a - 14, 2*v = -2*a for v.
-2
Solve 5*u = -16*d + 19*d - 1, 3*u - 9 = -3*d for u.
1
Solve 2*z - 3*o = 5, 21 = -3*z - 13*o + 8*o for z.
-2
Solve 4*j - 5*h - 1 = 0, h + 12 = 3*j + 3 for j.
4
Solve -l - 5 = -2*j, j + 5*l - 27 = -2*j for j.
4
Solve -11*m + 9*m + 22 = 4*i, 3*i = -2*m + 17 for i.
5
Solve 4*q - 4*y = 12, q - 1 = -2*y - 10 for q.
-1
Solve -3*y - 4*s = -15, -316*y - s = -312*y - 20 for y.
5
Solve 2*o = 10, 2*w - 2 = 2*o - 6 for w.
3
Solve -2*k + 2 = 2*p - 0*p, 5*k + p - 13 = 0 for k.
3
Solve 5 = c + 47*m - 43*m, 5*m = 5*c + 25 for c.
-3
Solve 0 = o - 3*r - 9, 4*o - 6 = -0*r + 2*r for o.
0
Solve 2*n - 3 + 14 = -3*r, r + 27 = 4*n for r.
-7
Solve -5*u = -3*t + 14, -278*u + 274*u = 16 for t.
-2
Solve -5*s + 2*d + 33 = 0, 2*s - 9*d + 20 = 66 for s.
5
Solve m - 5*i - 8 = 0, -2*i + 3*i = -1 for m.
3
Solve f - 8 = -5*u + 3, -2*u - 2 = 2*f for u.
3
Solve -9*f + z = -4*f - 13, z = -4*f + 5 for f.
2
Solve -2*d - 3*d + 33 = -4*o, 11 = d - 3*o for d.
5
Solve 2*k = -3*s + 5, 9 = -k + 3*k - s for k.
4
Solve -5*w = 3*b, -b + 7 = -2*w + 6*w for b.
-5
Solve -5*q - 10 = 4*u, -2*q = 3*q + 10 for u.
0
Solve -2*q = 2*q - n - 2, -3*q + 11 = 4*n for q.
1
Solve 0 = 2*m, 5*q - 3*q - m = 2 for q.
1
Solve i = -3*a + 4, 8*i + 16 = 12*i + 4*a for i.
4
Solve 0 = 2*u - 2, -u + 4*u = 4*b - 17 for b.
5
Solve u - 8 = 29*p - 25*p, 3*p = -4*u - 25 for p.
-3
Solve -2*z - 15 - 6 = -5*s, 2*z = 3*s - 15 for s.
3
Solve 0 = 5*k + 2*r + 6, 0 = 5*k + 19*r - 14*r + 15 for k.
0
Solve 2*q + 3*x + x = 12, 0 = -q + 5*x - 22 for q.
-2
Solve 0 = 2*g - 6, j - 2*g + 14 - 9 = 0 for j.
1
Solve -3*u = -5*x - 20, -29*x + 4 = -28*x + u for x.
-1
Solve -5*m = -5, 28*p - m = 26*p + 3 for p.
2
Solve -20*r - d - 14 = -23*r, 2 = -r - 3*d for r.
4
Solve -2*s = 12, q + s + 0*s = -11 for q.
-5
Solve -10 = -5*y - 2*w, -w = 5*y - 4*y - 5 for y.
0
Solve -2*s + 5 = j, 3*j + 6 = 3*s + 4*j for s.
1
Solve -2*n = 3*t + 7, -5*n = 5*t - 8*n - 1 for t.
-1
Solve 4*j + 12 = -4*p, -3*j = -3*p + 1 - 4 for p.
-2
Solve 4*r - 2*x = 16, -5*r + r + 4*x = -20 for r.
3
Solve g = 2*b + 15, -57*b = -52*b + 4*g + 5 for b.
-5
Solve 0 = -n - 3*z + 10, -5*n + 4*z = -2*n + 35 for n.
-5
Solve 3*c + 5 = -4*d + 16, 4*d - 4*c = 32 for d.
5
Solve -3*j - 3*w = 15 - 0, 2*j - 10 = 2*w for j.
0
Solve 14 = 3*d + r, 4*d - 30 + 18 = 2*r for d.
4
Solve -b - 4 = 0, 2*p = -4*b + 6*b + 8 for p.
0
Solve -o = -2*p - 6, 3*o = -2*p - 3*p - 37 for o.
-4
Solve 0 = 2*j + f + 3*f - 18, -3*f = -2*j - 10 for j.
1
Solve 10 = 2*p + 2*f, 5*f - 1 = p + 12 for p.
2
Solve 0 = 2*a, -5*n - 2 = -5*a + 3 for n.
-1
Solve 0 = 2*w - 3*v + 6, -3*w - 9*v = -8*v + 9 for w.
-3
Solve -3*m + 5*f = 3*f - 5, 0 = -5*m - 4*f - 21 for m.
-1
Solve -1 = d - 2*a + 4*a, 3*a = 4*d - 7 for d.
1
Solve -m - 1 = 0, 5*m - 3*m + 2 = -4*f for f.
0
Solve 3*c - 2*c - 4 = -2*p, 0 = -4*c - 4*p + 8 for c.
0
Solve -3*m - 2*j - 18 = 0, 2*j + 11 - 1 = -m for m.
-4
Solve 0 = 2*d - 10, 6*j - 20 = j - 5*d for j.
-1
Solve 48*w - 2*a = 49*w + 11, 4*w + 2*a = -14 for w.
-1
Solve r + 2*w = 11, -4*r + 2*w + 0 + 4 = 0 for r.
3
Solve -2*m - 3*x = -0 + 3, 4*x + 4 = 4*m for m.
0
Solve 2*n = 4*r + 10, 184*n = 3*r + 183*n + 5 for r.
0
Solve -5*x = 5*h - 2*h + 25, 4*x - 4*h - 12 = 0 for x.
-2
Solve -3*x - 2*r + 9 = 0, -2*x - r + 9 = 4 for x.
1
Solve 13*q - 8*q - 15 = -j, 3*j = -q + 3 for q.
3
Solve 0 = -4*x - 3*y + 31, 25 = 2*x + 3*y + 2 for x.
4
Solve -5*h - 5*v + 20 = -10*v, 4*h + 5*v = -29 for h.
-1
Solve -5*y - 3 = -3*f + 5, 0 = 3*y + 4*f + 28 for y.
-4
Solve 1 = -d - l, 2*d + 0*d + 5*l = -8 for d.
1
Solve 2*p - 25*z + 27*z = 0, p = -2*z for p.
0
Solve -2*b + 0*b + 10 = 5*k, 0 = -4*b + 2*k + 20 for b.
5
Solve -5*h + 10 = -5*x, 4*h - 7 - 2 = 5*x for h.
1
Solve 4*s - 16 = 5*p, -2*p - 17 = 2*s - 7 for p.
-4
Solve 3*s - 3 + 7 = 5*c, -3*c = -6 for s.
2
Solve 0 = -5*t + 3*m + 11, 0 = 3*t - 0*t - 5*m - 13 for t.
1
Solve 2*p = -8*s - 2, 4*s - 3*p = -0*s - 13 for s.
-1
Solve 0 = 4*p - 20, -6 = 2*r - p - 1 for r.
0
Solve z + 5*p - 2 = -38, -4*z = -p - 3 for z.
-1
Solve -5 = p + 3*r, 3*p + 4*r = 7*r + 9 for p.
1
Solve 0 = y + 2, 3*b + y = -b - 6 for b.
-1
Solve 28 = 71*d - 66*d - 4*m, -m + 18 = 5*d for d.
4
Solve -3*l = -4*z + 14, 20 - 10 = -5*l for z.
2
Solve 0 = -3*z - 2*f - 17 + 8, -9 = -3*f for z.
-5
Solve -39*g = -w - 35*g - 13, 3*g - 2 = -7*w for w.
-1
Solve -3*c = 5*p + 30, 5 = -c - 2*p - 6 for c.
-5
Solve -299*f - 3*h = -294*f + 6, -5*f - 12 = h for f.
-3
Solve 5*n = 5*g + 20, -4*n = 4*g - 13 + 29 for g.
-4
Solve -u + 2 = 5*f - 2, 3*f - 2 = -u for u.
-1
Solve -2*x = -q + 1, 0 = -4*x + x + 3*q for x.
-1
Solve 5*k - 12 = -4*q - 3, -2*k + 22 = -3*q for k.
5
Solve 0 = 3*v + 4*f + 39 - 58, 0 = -3*v + 2*f + 13 for v.
5
Solve 20*v + 2*z - 2 = 18*v, 3*v - z + 17 = 0 for v.
-4
Solve 4*k - 18 = 3*w, -3*w + 3*k = -w + 13 for w.
-2
Solve 2*l + 5*k = 1, -l + 3*k = -0*k - 6 for l.
3
Solve -2*f - 5*c = -13, -10*f + 7*f - 9 = -2*c for f.
-1
Solve -5 = 4*g + 4*c - 13, 0 = 2*g + c - 5 for g.
3
Solve -2*s + 9 = -x, -2*x = 5*s - 0*x for s.
2
Solve 34 = 5*m + q + 36, -2*q = 5*m + 4 for m.
0
Solve -w + 8 - 26 = -5*n, 3*n = 2*w + 15 for w.
-3
Solve 5*r = 20, -h - 5*r + 142 = 127 for h.
-5
Solve 14 = s - 2*f, 3*s + 7 = 6*s + f for s.
4
Solve 0 = -m + 4*d - 1, -2*d = -d - 1 for m.
3
Solve z + 4 = -3*z - 5*a, 4*a + 3 = -3*z for z.
-1
Solve l - 2*f = -2, 4*f - 27 = -3*l - 43 for l.
-4
Solve -3*m + 4*u - 13 = 3*u, 3*m - 5*u = -29 for m.
-3
Solve -2*m + 5*g = -11, 0 = -5*m + m - 3*g - 17 for m.
-2
Solve 0 = -2*c + 3*b + 6, -3*c + c + 4*b + 10 = 0 for c.
-3
Solve 0 = -3*j - 2*s + 19, -2*j - s + 5 = -7 for j.
5
Solve 2*c = 6*c + 5*k + 25, -5*c = 3*k + 15 for c.
0
Solve 0 = 83*u - 82*u - 4*c + 10, -4*c = -3*u - 6 for u.
2
Solve -180*a + 3*r = -183*a + 18, 0 = 4*r - 12 for a.
3
Solve -69*p = -73*p - 3*q + 22, -2*p - q = -10 for p.
4
Solve d = 4*y + 21, -4*y = -3*d + d + 26 for y.
-4
Solve 23*f = 18*f + 5*o - 15, o = 3 for f.
0
Solve -j + 15 = -5*j - z, 0 = -2*j - 5*z - 21 for j.
-3
Solve -2*q + 2 = g, 5*q + 3*g - 73 + 66 = 0 for q.
-1
Solve -29 + 34 = -5*y + 2*f, -4*y - f - 4 = 0 for y.
-1
Solve -5*f = -5, -1 = 3*x - 3*f + 5 for x.
-1
Solve 2*p = 5*k + 7, 0 = -k - 0*k - 5*p + 4 for k.
-1
Solve -2*b = -4*b + o - 8, -4*b - 5*o = 16 for b.
-4
Solve 25 = 4*x - 5*h, -3*h + 33 - 48 = 2*x for x.
0
Solve 3*i = 3*s, 2*i + 21 = 52*s - 57*s for s.
-3
Solve -2*v = 3*s - 16, 16*s + 30 = 21*s + 4*v for s.
2
Solve -2 = 5*t - z, 3*z - 9 = -3*t + 7*z for t.
-1
Solve 2*s = -4*n - 14, -5*n - 4*s - 11 = 8 for n.
-3
Solve r = -5*z - 20, 4*r - 4 = -421*z + 422*z for r.
0
Solve -8 = -a - l, 0 = 3*a - l - 26 + 14 for a.
5
Solve -5*o - 5 = -3*q - 21, 1 = -3*q + 2*o for q.
3
Solve -2*z = 3*b - 13, -3*z - 19 = z - 3*b for z.
-1
Solve 5*x - 2*k + 1 = -24, -4*k = | {
"pile_set_name": "DM Mathematics"
} |
alculate -19 + 745*(-9)/(-315).
16/7
Evaluate ((-9)/(-27))/(((-224)/12)/8 + 6).
1/11
What is 530/925 - 504/840?
-1/37
What is the value of (237/395)/((-9)/(27/(-12)))?
3/20
What is the value of 256/14 + -17 + (-2)/7 - -1?
2
What is 3*5/(660/8) - (-72)/(-154)?
-2/7
-13 + (-602)/2184*-8*6
3/13
Evaluate ((-2)/(-6)*2/17)/((-23)/(-69)).
2/17
Calculate (-5)/((-1485)/(-6291)) - -21.
-2/11
What is the value of ((-8)/(-7))/(-2)*1/((-56)/3724)?
38
Calculate (4 + -5 - (-126)/117)/(-1).
-1/13
What is the value of (-2 - 335/65) + 5 - 32/(-208)?
-2
What is (5/(-10)*2 - 2) + 14 + -32?
-21
Calculate -93*(-10)/12*402/(-1005).
-31
What is 2/7 + -30*(-5)/(-35)?
-4
Calculate 3/6 + ((-84)/8 - -6).
-4
Calculate (-77)/(-77)*1*2.
2
Calculate (-7)/(-252)*8 + (-352)/(-36).
10
What is the value of 3/(-14) - (-297)/693?
3/14
What is (-120)/(-15) + (10 - 45)?
-27
What is (4/(-5)*(-291)/(-194))/((-6)/(-45))?
-9
What is (-11 - (-12 - -10)) + 30?
21
What is (1/3)/((-9245)/172 + 54)?
4/3
Calculate ((-60)/25)/((-27)/(-360)) + 12.
-20
What is the value of (-3 - (-7)/7)*-4?
8
((-169)/(-39))/(182/588)
14
12/14*(-72)/(-45)*20/(-24)
-8/7
What is 1152/6720*98/3 - 4?
8/5
Calculate 10 + -1 - (-166 - -171).
4
(2/4)/((-61)/(-12) - 5)
6
(203/(-21) - -11)/(18/81)
6
Calculate ((-5)/70*40)/(8/(-56)).
20
Calculate 1/(2220/990 + ((-8)/6 - 1)).
-11
(-43)/4 + 61/(-244)
-11
Calculate 16/(-12)*(-4428)/(-2624).
-9/4
What is the value of (-2)/16 - -3*290/696?
9/8
Calculate (36 - 18) + (-27 - 6).
-15
What is 96/(-9)*31/124?
-8/3
Calculate (-1 - (-26)/20)*1154/(-5193).
-1/15
Evaluate (-4)/(-10) - (-3)/(195/(-871)).
-13
Evaluate (-5 - (-4)/((-156)/(-189))) + (-145)/(-13).
11
What is the value of 4/((-40)/(-30))*-11*(-5)/(-15)?
-11
(-336)/(-88) - (-516)/2838
4
(-18546)/63225 + 1 + 4/(-6)
1/25
What is 2/(-3)*125/1750?
-1/21
What is the value of -41 + 27 + (11 - 0)?
-3
(780/507)/((-32)/(-208))
10
Calculate (-1911)/(-1029) + (1 + 1 - 3).
6/7
What is the value of ((-8)/(-10))/(-2 - (-104)/50)?
10
Calculate (18/45*5)/(3/18).
12
Calculate 52/130*28/8.
7/5
What is (-19*120/(-1900))/(((-112)/(-20))/(-4))?
-6/7
Evaluate 10 + 18 + (-8585)/306.
-1/18
Evaluate (12/72)/(200/96 + (-1)/3).
2/21
What is the value of -19 + 16 + (207/(-135))/(3/(-5))?
-4/9
What is the value of (-356)/623*28/(-200)?
2/25
What is 7*(-4296)/(-537)*(-18)/(-56)?
18
Calculate -9 + 3*(54/(-63) - 1104/(-210)).
21/5
What is (-2)/20 + (-146)/(-60) + -3?
-2/3
What is 18/(-21)*(6 + (1530/24)/(-15))?
-3/2
What is ((-30)/(-4) + -1)/(((-1652)/56)/59)?
-13
What is 60/(-110) + (-3)/((-3234)/632)?
2/49
Evaluate (8450/39)/50 + 200/12.
21
((-3)/4)/((-5832)/(-1728))
-2/9
Evaluate (2/(-12))/(32/(-6)*702/(-624)).
-1/36
Calculate -3*19/4332*8.
-2/19
What is (-354)/(-6195) - (-1 + (-226)/(-280))?
1/4
(12/16)/(2/(-48))*820/1230
-12
Evaluate 1 + -9 + 3 + (-13 - -1).
-17
-1 - 7 - (1/(-12))/((-33)/(-3256))
2/9
Calculate ((-30)/140)/((-64)/(-80) - 248/(-140)).
-1/12
84/56*22/(-33)
-1
1360/(-70) + 12 - (-8 - 0)
4/7
What is (1144/(-40) - -6) + 248/155?
-21
(468/1638)/(2/(-28))
-4
What is (-38)/3 + (-220)/(-60) + -4?
-13
Evaluate 741/(-234) + -3*1/(-1).
-1/6
What is the value of 4/26 - (-13)/2028*2?
1/6
Evaluate ((-112)/14 - (-3)/6) + 1/2.
-7
Evaluate (-4)/3*(-2340)/720.
13/3
What is the value of ((-30)/(-5))/(-3 + (7 - -35))?
2/13
3/(-9) + (-10)/(-42) - (-121024)/395808
4/19
Calculate (21/(-12) + (-3)/(-4))/(9/6).
-2/3
What is the value of 2/6 - 212/159 - (-2)/2?
0
What is the value of ((-225)/300)/(27/(-48))?
4/3
Calculate (-1)/(((-4)/10)/(240/200)).
3
Calculate (24*(-371)/2120)/((-6)/(-5)).
-7/2
Evaluate ((-17690)/(-488))/((-30)/24).
-29
What is the value of 54/(-45) + (-63)/(-65) - (-77)/52?
5/4
5103/9828*(-24)/(-9)
18/13
((-2)/(-7) + 0)/(5 + (-1247)/203)
-1/4
What is the value of (-9)/(-24) + 5/32*4?
1
What is -6*(((-323)/(-102) - 18) + 11)?
23
What is 0 + 16 + (-2205)/126?
-3/2
What is the value of 2/(-13) + (-2)/2418*-264?
2/31
5610/1326 - (7 - (-1 + 4))
3/13
Evaluate (12441/(-1089) - 2/(-6)) + 19/209.
-11
What is the value of (-8)/(-6)*252/(-96)*4628/623?
-26
16*(-80)/90 - -14
-2/9
Evaluate 84/437 - ((-360)/(-276))/15.
2/19
Evaluate ((-627)/(-114) - 6)/((-6)/28).
7/3
What is the value of (4403/14)/(-37)*2?
-17
Evaluate 4/((2/12)/((-36)/48)).
-18
What is 4/50 - 5472/900?
-6
What is (-255)/34 - (-22)/(-4)?
-13
Calculate (-893)/855 - (-7 - -6).
-2/45
Calculate 32/110*(-1230)/(-328).
12/11
What is the value of (-88)/170 + 614/1535?
-2/17
What is (-6)/8 + (-8690)/968 + 10?
3/11
Evaluate 14 + ((-15)/((-195)/52) - 4).
14
4/(-3)*((2275/(-98))/25 - -1)
-2/21
Evaluate 6/27 + -111*(-20)/(-270) + -4.
-12
What is 2*(-4)/(-7)*7?
8
What is (14 - -40)/((188/47)/(4/(-2)))?
-27
What is the value of 4 + -1 - 3 - (-6)/(16 - 10)?
1
Calculate ((-4)/((-12)/9))/((-6)/(-170)*5).
17
Evaluate (-19 - (-13 - 7))*-10.
-10
Evaluate (45/(-125))/((-18)/360) + -8.
-4/5
Evaluate (-3)/(-3) - (30 + -22) - -17.
10
What is ((-30)/150)/((-8)/10)?
1/4
What is 6/16 + ((-861)/(-168) - 5)?
1/2
2/(-17) - (-23 - ((-9480)/340 - 7))
-12
What is the value of (10 + (-328)/16)/((-63)/36)?
6
(684/285)/((-4)/(-10))
6
Evaluate (1003/(-102) + 10)*(-6)/(-4).
1/4
Evaluate 36/(-20)*(-18 + 26 + -7).
-9/5
Evaluate ((-72)/(-225)*5)/((-8)/(-30)).
6
What is 6/82*(-150)/450?
-1/41
What is (-1152)/(-2304) + -3*((-479)/(-222) - 2)?
1/37
What is 66/(-17) + (-406)/3451?
-4
What is the value of (-1 - -4)*190/(-57)?
-10
What is (270/(-24) + 10)/(7/(-28))?
5
What is the value of (53 + -63)*-3*15/(-50)*2?
-18
46/276*(-12)/(-2)
1
Calculate 46/(-60) - 1360/(-1632).
1/15
What is (-962)/(-333) + (15/(-5) - 0)?
-1/9
((-24)/504)/((-54)/42)
1/27
What is the value of 124/(-18) - (-10)/(-210)*63/27?
-7
Calculate (-13 - (-16 + 15))*(20/8 + -1).
-18
Evaluate 9/21 - (-95)/((-13300)/(-3720)).
27
Calculate (-282 + 290 + (-26)/4)/((-6)/(-76)).
19
Calculate (84 + -81)*6/(-22).
-9/11
6*5/(-70) + 240/4480
-3/8
Evaluate 9/35 - 35/((-4550)/78).
6/7
Evaluate 4/(-68) - 319/(-13804).
-1/28
What is ((-1)/2*-1)/(3983/2276)?
2/7
Evaluate 25/(-18) - 24/216 - 6/(-12).
-1
(-7)/(-56)*20/(-25)
-1/10
What is -5 - 4 - (-4 + (-3)/(-12))*-4?
-24
(0 + 1)/(4260/(-90) - -45)
-3/7
Calculate (-4872)/(-210) - (-7 + (-164)/(-20)).
22
Calculate (-69)/(-69) - (-51)/(-33).
-6/11
What is the value of 3/2*(-16)/28 + (-41)/(-7)?
5
(0 - 5/(-42)) + 156/(-546)
-1/6
Calculate (4 + -8 + 3)/((-53)/371).
7
Evaluate ((-535)/(-90) - (-88)/(-198)) + 2/(-4).
5
((-33)/2)/((-246)/(-164))
-11
What is the value of ((-20)/(-4) - -1) + (-2162)/368?
1/8
Calculate ((-95)/(-3))/(-19) - (-200)/12.
15
Calculate 46/(-34)*(-24)/(-168)*-119.
23
Evaluate 19 + (5 + -26 - -16).
14
What is the value of ((3/(-15))/((-218)/545))/(1/(-10))?
-5
Calculate 18/(-33) - 5950/(-7480).
1/4
(169/338)/(3/42 + 0)
7
Calculate (-3)/((-27)/((-729)/180)*54/16).
-2/15
Evaluate 15 + 17 + 6 + (-12 - (3 - 7)).
30
What is the value of ((-28)/(-63)*(-6)/(-100))/(34/(-51))?
-1/25
What is the value of (175/(-21) + 6)*-18*4/56?
3
-13 + 27 - 40/6
22/3
What is the value of (-203)/11 + 36/(-66) - 12/(-4)?
-16
Calculate (((-288)/(-42))/(-4))/((-2)/14).
12
Calculate ((-9)/6)/((-175)/50) + 115/(-301).
2/43
Evaluate (258/817)/((-3)/(-76)).
8
What is the value of -758 + 771 + (-70)/6?
4/3
Calculate (3126/(-33344))/(26/(-64)).
3/13
What is the value of 0*(11/(-33) + 0)?
0
What is (22/(-1254)*1)/(21/18 + -1)?
-2/19
Calculate ((-8)/(-1120)*7)/(-2 - (-2 + -1)).
1/20
(1/(-12))/(6/(-120))
5/3
3/4*(7*(-90)/(-735))/9
1/14
Calculate ((-121)/(-605))/(52/20).
1/13
Evaluate 27/648*17/(357/12).
1/42
What is (-6)/(-9) - (-37)/111?
1
Calculate (-71 - (-7 - 16))*(20/3)/10.
-32
What is the value of 820/20 - 19 - 17?
5
Evaluate ((-8710)/350 - -24) + -5*2/(-35).
-3/5
Evaluate ((-1340)/273 + (-94)/(-1833))/(4/(-14)).
17
Calculate 106/5 + -27 + (-27 - 1953/(-35)).
23
Evaluate 110/25*35/56*(-16)/(-20).
11/5
What is (9/2)/((176/32)/11)?
9
(4 - -2)*3*(-13)/(-13)
18
Evaluate ((-39)/(-9) + -3)/((-3010)/129).
-2/35
Calculate 122/((-10858)/(-1335))*(0 + (-6)/99).
-10/11
Calculate 3/(9/186)*(-8)/(-16) - 0.
31
Calculate (2/(-24))/(11/(-33)) - (-204)/(-240).
-3/5
(14/91 - 140/(-104))*(-56)/42
-2
What is the value of (3/(9 + -3))/(20/(-520))?
-13
What is 2/(-4)*(190/(-1330))/((-4)/28)?
-1/2
What is the value of -2 - 5 - 3/(-9)*-15?
-12
What is the value of -22*4/176*( | {
"pile_set_name": "DM Mathematics"
} |
What is prob of picking 1 o and 3 s?
4/715
Calculate prob of picking 2 j and 2 y when four letters picked without replacement from {o: 7, j: 5, h: 3, y: 2}.
1/238
Calculate prob of picking 2 q when two letters picked without replacement from {v: 7, q: 4, z: 6}.
3/68
Two letters picked without replacement from {c: 7, m: 2, k: 3}. What is prob of picking 2 k?
1/22
What is prob of picking 1 v and 1 n when two letters picked without replacement from {v: 1, d: 2, n: 4}?
4/21
Three letters picked without replacement from urhrrbhuuuhbhrpbruhq. What is prob of picking 1 q, 1 h, and 1 b?
1/76
Calculate prob of picking 2 p and 2 s when four letters picked without replacement from {p: 16, s: 4}.
48/323
What is prob of picking 2 i and 1 p when three letters picked without replacement from gippgppggggpgpgpip?
1/102
Calculate prob of picking 3 o when three letters picked without replacement from {h: 1, o: 3, k: 2, v: 3, t: 2, f: 4}.
1/455
Two letters picked without replacement from {v: 3, g: 2, k: 6, q: 2, x: 1}. Give prob of picking 1 q and 1 x.
2/91
Four letters picked without replacement from {v: 2, p: 8}. What is prob of picking 4 p?
1/3
Calculate prob of picking 1 t and 1 l when two letters picked without replacement from {l: 2, q: 1, t: 2, c: 1, k: 1, v: 1}.
1/7
What is prob of picking 3 o and 1 f when four letters picked without replacement from oopforfoppoofo?
15/143
Two letters picked without replacement from jjjjmmjwmwmw. Give prob of picking 1 j and 1 m.
10/33
What is prob of picking 1 f and 1 w when two letters picked without replacement from {j: 1, f: 3, w: 3}?
3/7
Calculate prob of picking 1 m and 1 w when two letters picked without replacement from mwdmdmdmda.
4/45
Two letters picked without replacement from ttskkkkx. Give prob of picking 2 x.
0
Calculate prob of picking 4 c when four letters picked without replacement from ttttccccqscsccttt.
1/68
Two letters picked without replacement from gfttgtttttttmf. Give prob of picking 2 g.
1/91
Two letters picked without replacement from tahtmjajmhxajhmm. What is prob of picking 1 a and 1 x?
1/40
Calculate prob of picking 1 d, 2 p, and 1 o when four letters picked without replacement from ccppddcppoccdccpcp.
1/68
Four letters picked without replacement from lmmmbbmyfbffbytlbbm. What is prob of picking 3 b and 1 m?
25/969
Two letters picked without replacement from kkkmkkkkkmfkkmx. Give prob of picking 1 k and 1 f.
2/21
Three letters picked without replacement from {z: 7, p: 1, q: 10}. Give prob of picking 3 z.
35/816
Calculate prob of picking 3 g when three letters picked without replacement from qggqgqgqgqqq.
1/22
What is prob of picking 2 o when two letters picked without replacement from eoeov?
1/10
Three letters picked without replacement from {d: 7, v: 2, e: 9}. What is prob of picking 3 e?
7/68
What is prob of picking 1 b and 1 y when two letters picked without replacement from {t: 1, e: 1, y: 2, b: 2, w: 1, c: 2}?
1/9
Calculate prob of picking 1 y, 1 l, and 1 u when three letters picked without replacement from {q: 9, l: 1, u: 1, t: 4, y: 4}.
4/969
What is prob of picking 1 f and 2 k when three letters picked without replacement from kfkfkkfkkf?
1/2
Calculate prob of picking 2 a and 1 m when three letters picked without replacement from {m: 5, a: 7}.
21/44
Calculate prob of picking 1 z and 1 u when two letters picked without replacement from gpusz.
1/10
Two letters picked without replacement from xxxrxxxxxrxxxrx. What is prob of picking 1 x and 1 r?
12/35
Calculate prob of picking 1 v and 2 u when three letters picked without replacement from {q: 2, u: 2, v: 1, d: 1}.
1/20
Four letters picked without replacement from rrmlrwrwlll. Give prob of picking 2 w and 2 l.
1/55
Calculate prob of picking 4 y when four letters picked without replacement from ysyyyyyyyyysyyyyyy.
91/153
What is prob of picking 2 n and 1 q when three letters picked without replacement from {y: 1, q: 3, n: 6, e: 3}?
45/286
Calculate prob of picking 3 e and 1 v when four letters picked without replacement from {v: 6, e: 6}.
8/33
Three letters picked without replacement from {q: 2, b: 2, l: 1, z: 1, k: 2}. Give prob of picking 1 k, 1 z, and 1 q.
1/14
Three letters picked without replacement from {h: 2, l: 9}. What is prob of picking 1 l and 2 h?
3/55
Four letters picked without replacement from cccwwcccwccucuwccwc. Give prob of picking 2 u, 1 c, and 1 w.
5/323
Calculate prob of picking 4 p when four letters picked without replacement from qpnpn.
0
What is prob of picking 2 f and 2 v when four letters picked without replacement from vffffffffffvvfffvf?
91/510
Calculate prob of picking 2 r when two letters picked without replacement from {b: 2, r: 9}.
36/55
Three letters picked without replacement from aaawawwaaaaawawa. Give prob of picking 1 w and 2 a.
55/112
Four letters picked without replacement from {e: 8, r: 2}. What is prob of picking 4 r?
0
Calculate prob of picking 3 f and 1 o when four letters picked without replacement from dddffdfffofdfd.
5/143
Two letters picked without replacement from {h: 1, x: 1, y: 1, u: 6, c: 3, s: 1}. Give prob of picking 1 y and 1 s.
1/78
Calculate prob of picking 1 u and 1 c when two letters picked without replacement from rrrrrdrrcurr.
1/66
Four letters picked without replacement from qnyernp. What is prob of picking 1 n, 1 p, 1 r, and 1 y?
2/35
What is prob of picking 2 d and 1 t when three letters picked without replacement from tdtddddd?
15/28
Calculate prob of picking 2 d when two letters picked without replacement from doodmdddmodd.
7/22
Four letters picked without replacement from ieepepegi. Give prob of picking 4 e.
1/126
Calculate prob of picking 1 q, 1 i, 1 g, and 1 f when four letters picked without replacement from {g: 3, j: 1, q: 6, e: 1, i: 4, f: 1}.
18/455
Calculate prob of picking 1 d, 1 h, and 1 p when three letters picked without replacement from {n: 1, h: 1, d: 1, w: 1, p: 1}.
1/10
Three letters picked without replacement from uhhuuuuuuuuuhuhuhhu. What is prob of picking 3 u?
286/969
What is prob of picking 2 f and 1 l when three letters picked without replacement from wpflf?
1/10
What is prob of picking 2 f when two letters picked without replacement from bfffffffbffbbf?
45/91
Four letters picked without replacement from {o: 14, q: 5}. Give prob of picking 3 q and 1 o.
35/969
Three letters picked without replacement from {m: 2, b: 4}. What is prob of picking 2 b and 1 m?
3/5
Three letters picked without replacement from {g: 5, f: 3}. Give prob of picking 3 f.
1/56
Two letters picked without replacement from {d: 2, g: 3, f: 2, a: 2}. Give prob of picking 1 d and 1 g.
1/6
What is prob of picking 1 t, 1 f, and 1 y when three letters picked without replacement from {t: 6, g: 3, y: 6, f: 4}?
48/323
Calculate prob of picking 2 l and 1 b when three letters picked without replacement from hpuliubl.
1/56
Calculate prob of picking 1 m and 1 h when two letters picked without replacement from hgihmfh.
1/7
Four letters picked without replacement from {e: 14, t: 5}. Give prob of picking 2 t and 2 e.
455/1938
Two letters picked without replacement from uuurrzrruzuu. What is prob of picking 2 z?
1/66
What is prob of picking 1 h and 1 f when two letters picked without replacement from {k: 1, l: 5, h: 6, a: 1, d: 2, f: 1}?
1/20
What is prob of picking 1 x and 1 q when two letters picked without replacement from qxxqqx?
3/5
Calculate prob of picking 1 l and 1 p when two letters picked without replacement from {o: 3, c: 4, m: 2, l: 2, p: 1}.
1/33
Two letters picked without replacement from ihhhhhhhih. Give prob of picking 1 i and 1 h.
16/45
Calculate prob of picking 1 h, 1 q, and 1 m when three letters picked without replacement from {q: 2, m: 1, w: 1, h: 4, p: 3, t: 1}.
2/55
Calculate prob of picking 2 s and 1 c when three letters picked without replacement from sccsssccsscc.
9/22
Calculate prob of picking 3 a when three letters picked without replacement from caaccaacca.
1/12
Calculate prob of picking 1 p and 1 a when two letters picked without replacement from jsazppsh.
1/14
What is prob of picking 1 o and 1 a when two letters picked without replacement from ypdyyydoyyodaa?
4/91
Calculate prob of picking 2 x and 1 v when three letters picked without replacement from {x: 4, v: 2}.
3/5 | {
"pile_set_name": "DM Mathematics"
} |
lest value? (a) 0 (b) v (c) -63 (d) 3
a
Let v be (-2)/(14336/1592 + -9). Let j = 1196/3 + v. Let q = -394/15 + 77/3. What is the biggest value in -4/5, j, q?
j
Let i(b) = 18*b**2 - 15*b + 12. Let t be i(1). Suppose 114 = t*m - 21*m. What is the biggest value in -3, -2/11, m?
-2/11
Let l = 146.9 - 155. Let z = 8.3 + l. What is the biggest value in 16, 0, z, -1?
16
Let z = 336 + -1452. Let y = z + 1111. Let p = 1/738 - -3443/738. What is the biggest value in y, -0.4, p, 2/3?
p
Let d = 0.02834 + 15.23966. Let o = 0.232 + d. Which is the second biggest value? (a) o (b) -2/5 (c) 5
c
Let l be 12 + ((-31842)/(-108))/(-29). Which is the fifth smallest value? (a) 0.1 (b) 3/7 (c) l (d) -2 (e) 0.4
c
Let s = -9 + 18. Let i = -13.6 + s. Let d = i - -4.3. Which is the third biggest value? (a) -1 (b) 3/4 (c) d
a
Suppose 18*u + 5 = -s + 17*u, -3*u + 17 = -5*s. Which is the smallest value? (a) -3/5 (b) s (c) 0.3 (d) -13
d
Let h = -23588 + 23589. Let q = -1.99 - 0.01. Let j = 7 - 11. Which is the third smallest value? (a) -0.1 (b) j (c) h (d) q
a
Let h = 13040 + -13046. What is the fourth biggest value in -4, h, -0.1, 21, -2/7?
-4
Let s be 12/(-40)*-10*(-12)/90. Which is the second smallest value? (a) 3 (b) -3/2 (c) s (d) 0.12
c
Let p = 77 + -79. Let z = -17.09 + 18. Which is the third smallest value? (a) z (b) p (c) -0.2
a
Suppose 0 = -60*t - 55 - 65. Which is the second smallest value? (a) -576 (b) -3 (c) t (d) -4
d
Let o = -2 - -2. Let j = o + 0. Let n = -130234 + 911636/7. Which is the third smallest value? (a) n (b) j (c) -2/3
b
Let m be (-189)/195 - 10/(-13). Let h be (-1)/(-3) + (-2)/4. What is the fourth smallest value in 30, m, 2/3, h?
30
Let p be (7 + -3)/8 + 98/28. Suppose 0 = -p*o - 3*k + 3, 11*k = 10*k + 1. Let x = -1 - -2. Which is the biggest value? (a) o (b) -6 (c) x
c
Let t = 5.5 + -5. Suppose 7*v + 3*h + 6 = -4*v + 6*v, h = -v. What is the second biggest value in -0.4, t, v, 18?
t
Let z = 1.98 - -0.02. Let r = -0.14 + -0.04. Let v = r + 0.68. Which is the third biggest value? (a) v (b) -1.4 (c) z (d) -2/19
d
Let i = 381.87 - 376.87. Which is the third biggest value? (a) -157.8 (b) 0.2 (c) i (d) 4
b
Let r(p) = p**2 + 1. Let k be r(0). Let n = -0.0512 - -339.3512. Let w = n - 339. Which is the smallest value? (a) k (b) -9 (c) w
b
Let m be ((-1)/(-8))/(8/((-64)/4)). Let r be 0 + 1030/(-18) - 96/(-432). Which is the second smallest value? (a) m (b) -0.3 (c) -2 (d) r
c
Let s = 0.04 - 4.04. Let y be (52/(-104))/(1/1). Let o = 27 + -32. Which is the third smallest value? (a) s (b) o (c) y
c
Let t = 5373 - 5373.4. Which is the second biggest value? (a) -1 (b) 1/50 (c) -4 (d) t
d
Let v be (-1)/(8 + -7) + 5*1. Suppose -6 = -v*d - 3*x + 6, -x = 0. Which is the smallest value? (a) d (b) 4/5 (c) -2/3
c
Let x be 1 - (15/6 + -2 + -1). Let y = -31586424 + 207680737224/6575. Let q = y + 2/263. Which is the second biggest value? (a) -1.6 (b) -6/7 (c) q (d) x
c
Let i = 28 - 27.1. Let s = i - 2.9. Let z = 240 - 239.8. What is the second smallest value in z, s, 2, 4?
z
Let v = 34.82 + -29.82. Let u(k) = 10*k + 27. Let f be u(-7). Which is the third smallest value? (a) v (b) f (c) 4
a
Suppose 0 = -0*l + l + 20. Let j be ((6/(-40))/((-5)/l))/(-3). Let v = -0.5 + 0. What is the third biggest value in 0, j, v?
v
Let u be 209*3*((-84)/18 + 5). Suppose u = 5*k + 314. What is the third smallest value in k, -6, 0.4, -3?
-3
Let i be -1 - (-183)/(-45) - (-8 + 5 + -2). What is the second smallest value in i, 0.4, 2/3, -2/27?
i
Let v = 0.60516 + -0.10486. Let u = v + -0.1003. Suppose 3*k - 35 = -2*k. What is the fourth biggest value in 3, -3, k, u?
-3
Suppose -221*n = -213*n - 40. Let a(g) = g**2 - g + 2. Let v be a(2). Let i be v/2 + 12/(-10). What is the second smallest value in -1/6, n, i?
i
Let g be 12/(-42) + -18*3/(-336). Which is the third biggest value? (a) -271 (b) g (c) -0.2
a
Let m = -180 + 144. Let x = 34 + m. Let s = -2 + 1. Which is the third biggest value? (a) s (b) 1 (c) x
c
Let i = 26 - 27. Let x = -800.022 + 802. Let n = x + 0.022. Which is the second biggest value? (a) i (b) n (c) 0.1
c
Let g be 27/6 + 3819/(-798). Let l(c) = -c**2 + c + 3. Let d be l(0). Suppose -5*s = -d*s + 10. What is the third biggest value in 0.2, g, s?
s
Let q(o) = -o**3 + 14*o**2 - 42*o + 20. Let i be q(10). Suppose n - 2*n + 4 = i. What is the third smallest value in -1, -3, n, -4/3?
-1
Suppose -6*n + 33*n + 15*n = n. Let y = -0.01 - 0.19. Which is the second smallest value? (a) -22 (b) -5 (c) y (d) n
b
Let f(w) = 79*w - 75. Let v be f(1). Which is the smallest value? (a) 415 (b) v (c) 2
c
Let s = 4.57 + -7.11. Let f = 5.54 + s. Which is the biggest value? (a) -0.5 (b) -1 (c) 2/15 (d) f
d
Suppose 0 = -g + 7*g - 18. Let k = -0.694 - -1. Let x = k + -0.006. Which is the second biggest value? (a) 1/6 (b) g (c) x (d) 2/11
c
Let x = -125575/12153 + -2/4051. Let w = -278990 + 2510908/9. Which is the second biggest value? (a) x (b) 0 (c) w
c
Let s = 1 + 3. Let r = -4.9 + 4.88. Let z = -0.1739 + -0.0261. What is the fourth biggest value in z, s, 1, r?
z
Let i = 6913 + -6160.9. Let s = -752 + i. Let u be 5/1*(-6)/(-15). Which is the third smallest value? (a) s (b) 5 (c) u
b
Let h be 12 + (-144)/12 + (-40)/8. Which is the biggest value? (a) -1035 (b) h (c) 3/2
c
Let q(n) = 0*n + n - n - 45 + 4*n. Let g be q(12). Let d = 86 + -85. What is the second biggest value in -35, d, g?
d
Suppose -183 = 4*i - 175. Let v = 11/3 + -4. Which is the second biggest value? (a) 1 (b) v (c) i
b
Let w(s) = -579*s - 1154. Let c be w(-2). What is the second smallest value in 188, c, -0.1?
c
Let u = 1555.2 + -1562.2. What is the smallest value in 4, 5, u, 0, 0.2?
u
Let l = -0.5309 + -0.1601. Let d = l + -0.009. Let v = 0.2 + d. Which is the third biggest value? (a) 0 (b) v (c) 3/2
b
Let z = -237 + -14. Let u = z - -246. What is the biggest value in -4, -9, u?
-4
Let n = 6 + -6.3. Let m = 315/2 - 943/6. Which is the third smallest value? (a) 0 (b) n (c) -2/15 (d) m
a
Let j(n) = n**3 + 19*n**2 - 135*n - 1306. Let f be j(-21). Which is the third biggest value? (a) 4 (b) -3 (c) f
b
Let t = -17 + 12. Let m = 1241.5 + -1241. What is the fourth biggest value in m, -1, t, 6/5?
t
Let r = -315.62 + 3.22. Let d = -238 - r. Let h = d - 75. What is the second smallest value in -0.2, -0.4, h, -3?
h
Let a(m) = m - 2. Let g be a(6). Let x be (g - 5) + -4 + 3. Let j be (4/190)/(2/(-30)*3). What is the second biggest value in 4, j, x?
j
Let k be (-2)/11 - (12/(-1408)*1422 + 12). What is the third smallest value in 0.5, k, 2.1, 5?
2.1
Suppose 4*i + 272 = -40. Let n = -73 - i. Suppose 2*d = 5*b + n - 0, 4*b - 29 = -5*d. What is the third biggest value in 0.01, -5, b?
-5
Let t = 417.092 - 0.092. Let n = -415 + t. Which is the second biggest value? (a) n (b) -2 (c) 17
a
Let b be (-11)/(-22)*(-10)/(-1). Suppose b*f - 150 = 3*p - 8*p, -3*p - f = -82. Suppose -11*m + p = -7. What is the third biggest value in -0.4, -2/17, m?
-0.4
Let u = 2.82 + -230.82. Let j = u + 229. Let x be (-4)/10*(-3 - -2). What is the second smallest value in x, j, 1/3, 2/9?
1/3
Let j = 14 - 13.928. Let s be (-105)/(-20) + 1 + -16 + -15 + 25. What is the second biggest value in s, j, -1?
j
Let h = -11/12 - -49/12. Let i = 1926 - 1921. What is the fourth smallest value in i, 3, h, -1/10?
i
Let r = -1.03 + 1.296. Let y = 0.71 - r. Let m = y + 0.056. What is the smallest value in 0.6, m, -2/17?
-2/17
Let x be (-864)/(-54) - (5 - -3). Which is the third biggest value? (a) 2/11 (b) x (c) -267
c
Let a = 0.1844 - 0.0844. What is the second smallest value in a, 0.4, -0.2, 6?
a
Let k be 10/8*(-394)/(-985). Let h be 6/(-10)*6/9. What is the third smallest value in k, -1/3, h, -0.01?
-0.01
Let z = -0.345 + 1681.345. Let i = z + -1684.953. Let t = -0.047 + i. Which is the smallest value? (a) 1 (b) 8 (c) t
c
Let r = -15.811 - -16.111. Let u = -2.8 - -3. Let x = 1.1 + -0.1. Which is the third smallest value? (a) u (b) 5 (c) x (d) r
c
Let x = -0.84 - 0.16. Suppose -27*f = -13*f - 28. What is the third smallest value in f, 1/5, x, -0.3?
1/5
Let l = 126.1 + -0.1. Let n = 136 - l. Which is the smallest value? (a) n (b) 0.1 (c) 2/21
c
Let i = 235 | {
"pile_set_name": "DM Mathematics"
} |
3. Suppose 9 = 4*p - 31. What is the remainder when z(33) is divided by p?
6
Let d(u) = u + 7. Let k be d(-5). Suppose 3*g = k*g + 214. What is the remainder when g is divided by -1*7 + 100/((-120)/(-12))*5?
42
Suppose 3*f = 14*c - 16*c + 38, 0 = 2*c - 4*f - 38. Calculate the remainder when 509 is divided by c.
15
Let d(x) = 68*x**2 + 92*x - 414. Calculate the remainder when d(5) is divided by 217.
10
Suppose 59*m - 54*m - v - 17062 = 0, 3*v = 24. Calculate the remainder when m is divided by 107.
97
What is the remainder when 45 is divided by 45/10*(2 + 8 + -4)?
18
Let v = 705 + -675. Calculate the remainder when (((-28)/(-6))/1)/(v/3465) is divided by 18.
17
Let h(y) = 12*y - 33. Let f(j) = -36*j + 105. Let i(m) = 3*f(m) + 8*h(m). Calculate the remainder when 88 is divided by i(0).
37
Suppose -18*y + 15*y = -6*y + 2466. Calculate the remainder when y is divided by 12.
6
Suppose 0 = -649*r + 105769 - 36326. Let q(h) = -34*h - 1. Let t be q(-1). Let v = -22 + t. What is the remainder when r is divided by v?
8
Suppose 0 = -v + 4*v - 3*k - 42, 4*v = -5*k - 16. Calculate the remainder when 1709 is divided by v.
5
Let n = -10359 + 10469. What is the remainder when 118 is divided by n?
8
Let k(d) = 875*d - 92. Let i be k(12). Suppose -48*h + i + 1448 = 0. What is the remainder when h is divided by 25?
22
Let r(n) = 50*n - 3. Let t be r(2). Suppose -17 + t = 4*i. Let k(v) = -5*v**3 - 62*v**2 - 184*v - 6. Calculate the remainder when k(-4) is divided by i.
18
Let q(k) = -5*k - 7. Let c be q(-4). Suppose -c = -5*n - 8. Suppose -n = h - 17. Calculate the remainder when h is divided by 9.
7
Suppose 11*a - 55 = 6*a. Suppose -62 = -2*h - 2*b, 2*h + b - 47 = a. Suppose 3*p = h - 3. Calculate the remainder when 21 is divided by p.
5
Let p = -12452 - -15326. What is the remainder when p is divided by 30?
24
Let r(h) = -7*h - 18. Let o be r(-3). What is the remainder when (-3)/(o/4)*972/(-144) is divided by (45/(-12))/(3/(-8))?
7
Let k be (-5 - (-78)/15) + (-32)/10. What is the remainder when 29 is divided by -4*k/6*119/14?
12
Let w(b) = 14*b**3 + b**2 - b. Let m = -19367 - -19421. Calculate the remainder when m is divided by w(1).
12
Let f be 15*(2 + (-4)/(-3)). Let i be (-25)/(-25)*9*-5. Let z = f + i. What is the remainder when 27 is divided by z?
2
Suppose -3 = -3*w + 3, -3*w + 67 = u. Calculate the remainder when 9019 is divided by u.
52
Suppose 623 + 577 = 300*t. Calculate the remainder when 187 is divided by t.
3
Let j(o) = -o**3 - 11*o**2 + 47*o + 133. What is the remainder when j(-18) is divided by 130?
125
Let x(m) = 5*m**2 - 2*m + 2. What is the remainder when (((-4794)/10)/17)/(1/(-5)) is divided by x(3)?
18
Suppose 3*g + 265 = y, 5*y + 0*g + 8*g - 1371 = 0. What is the remainder when y is divided by 55?
51
What is the remainder when (-8)/10 - ((-43548)/60 - 11) is divided by 74?
70
Suppose -p + 43 = s, 1009*s = 1011*s + 5*p - 86. Calculate the remainder when 8599 is divided by s.
42
Let p = 951 + -773. Calculate the remainder when 713 is divided by p.
1
Calculate the remainder when 24/36 - (-122)/6 is divided by -8 + 488/192*3 - 91/(-8).
10
Let v = 43 + -35. Suppose 59*u - 58*u - v = 0. Suppose -14*f + u*f + 102 = 0. What is the remainder when 47 is divided by f?
13
Suppose 22*n - 430 = 12*n. Calculate the remainder when -6 + n + -1 + -2 is divided by 26.
8
Let t = -77 + 46. Let w = t + 31. Suppose w = 8*p - 11*p + 144. Calculate the remainder when p is divided by 17.
14
Suppose -4*s + 315 + 142 = 65. Suppose 0*j - j = 5, 0 = -2*i - 2*j. Calculate the remainder when s is divided by i.
3
Suppose -19*r + 44743 + 17150 = -2631. What is the remainder when r is divided by 37?
29
Let b be 328/(-12)*6/4. Let w(a) = -a**2 - 13*a + 215. Let t be w(-20). Let d = b + t. Calculate the remainder when 65 is divided by d.
31
Let b(q) = -2*q + 12. Let l be b(4). Suppose l*i - 270 = -i. Suppose -15*h - 4*h = -361. Calculate the remainder when i is divided by h.
16
Let o(w) = 8*w**3 - w + 1. Suppose 4 + 10 = 7*c. Suppose 0 = c*v + 8, y + 3*v + 42 = 4*y. What is the remainder when y is divided by o(1)?
2
Suppose 0 = -3*h - 2*s + 112, 2*h + 905*s - 98 = 907*s. Calculate the remainder when 218 is divided by h.
8
Let f(o) = o**3 - 12*o**2 + 43*o + 3. Calculate the remainder when f(7) is divided by 15.
14
Suppose -2*b - 8 = -3*c, 15*b - 11*b - 12 = -c. Suppose -797 = -c*o - 2*i + 79, -2*o - 5*i = -454. Calculate the remainder when o is divided by 17.
13
Suppose 123*w - 104*w = 13186. What is the remainder when w is divided by 330?
34
Let b = -11395 - -12058. What is the remainder when b is divided by 60?
3
Suppose -1024 = -4*k - 2*x, 512 = 2*k + 3*x - 6*x. Suppose -31*d - g + k = -29*d, -5*d + 662 = -3*g. Calculate the remainder when d is divided by 41.
7
Suppose -5*y + 3 = z - 38, -4*z + 3*y + 72 = 0. What is the remainder when 1133 is divided by z?
20
Let j be 0 + 0 + 0/(-5). Suppose j*k + 2*k - 22 = 0. Suppose 2*f - 2*q = 70, 112 = 4*f - 56*q + 59*q. What is the remainder when f is divided by k?
9
Let x be -3 + (5 - 2) - -154. Suppose -9*y = -7*y - x. What is the remainder when y is divided by 16?
13
Let q(o) = -o**2 + 99*o - 1832. Calculate the remainder when 698 is divided by q(27).
26
Let v(o) = -6*o + 42. Let z be v(7). Let n be (5 - 5)*(2/4 - z). Suppose n = 2*k + 6*k - 104. Calculate the remainder when 25 is divided by k.
12
Let k = 31 + -51. Let o = 534 + -505. Let j = k + o. Calculate the remainder when j is divided by 6.
3
Let l(g) = g**3 + 7*g**2 - 10*g - 2. Let h be l(-8). Let w be (22/4)/(-4 + 49/h). Let c = 29 + w. What is the remainder when 70 is divided by c?
16
Suppose 6*k = 7*k - 57. Suppose -k = -2*f - 15. Let y = 136 - 99. Calculate the remainder when y is divided by f.
16
Suppose 9496 = 143*c - 9*c - 7254. What is the remainder when c is divided by 113?
12
Let o(y) = -5*y + 28. Let d(m) = 11*m - 54. Let a(q) = 6*d(q) + 13*o(q). Calculate the remainder when 77 is divided by a(-27).
12
What is the remainder when -2 - -20 - -2051 - (-3)/((-9)/(-6)) is divided by 37?
36
Suppose -2*s - 98 = -428. Suppose -3*x = 2*o - 113, o - 3*x + s = 4*o. Calculate the remainder when o is divided by 7.
3
Let n(x) = x - 27. Let u(a) = 28. Let h(f) = -3*n(f) - 4*u(f). Let y be 7 + (-17)/(102/36) + -18. What is the remainder when 198 is divided by h(y)?
18
Let f be (-14)/(-63) + (-21726)/81. Let k = 305 + f. Calculate the remainder when k is divided by 15.
7
Let s(k) = 94*k**2 + 5*k - 5. Let m be s(3). Let q = m - 716. Calculate the remainder when q is divided by 64.
12
Let d = 472 + -438. Calculate the remainder when 187 is divided by d.
17
Let f(n) = 4*n**2 - 14*n - 13. Let c be f(7). Let l = c + 55. Calculate the remainder when l is divided by 29.
24
Suppose -3*m + 1172 = -5*y, -y + 2*y = -3*m + 1202. Suppose 10*z = m + 121. Let b(j) = -j**3 + 10*j**2 - 7*j. What is the remainder when b(6) is divided by z?
50
Suppose -23*x + 4674 = -4*x. What is the remainder when 30 is divided by x/24 + 15/(-12) - 4?
0
Let f = -58 - -91. What is the remainder when 35/(14/(-2)) - (-3 + -131) is divided by f?
30
What is the remainder when 228 is divided by (-10)/3*3*(-2233)/406?
8
Suppose -7*j + 4*j + 12 = 0. Suppose 0 = j*r + 3*d - 25, -3*r + 1 + 22 = -2*d. Let k = -339 - -378. Calculate the remainder when k is divided by r.
4
Suppose -3*b + 39 = o, -o - 284*b + 287*b = -99. Suppose 4*c + 2*h = -3*h + 92, 4*c = -2*h + 92. Calculate the remainder when o is divided by c.
0
Let k = 4451 + -3740. What is the remainder when k is divided by 23?
21
Suppose -5*i = 5*d - 410, 5*i + 0 = d - 58. Let j = 122 - d. Let t = 64 - j. Calculate the remainder when 73 is divided by t.
13
Suppose -2*d - s + 30 + 93 = 0, -4*d = -5*s - 295. Calculate the remainder when 4807 is divided by d.
62
Suppose -17*q = 7*q - 48. Suppose q*r - 130 = -3*u - 0*u, 55 = r - u. Calculate the remainder when 176 is divided by r.
58
Let q be 12/8 + 742/28. Suppose 0 = -q*k - 1187 + 3875. What is the remainder when k is divided by 25?
21
Let j = 284 + -267. Let a = 30 - -16. Let o = 123 - a. Calculate the remainder when o is divided by j.
9
Suppose 0 = 2*k + 2*k - 72. Let y = -23175 + 23181. What is the remainder when k is divided by y?
0
Suppose 0 = 23*a + 74*a - 14037 + 3464. What is the remainder when 8937 is divided | {
"pile_set_name": "DM Mathematics"
} |
- 200 = -158, -8 = 5*i + 2*f + 7 for i.
1
Solve 0 = -4*w + 3*l + 14, -42339 + 42341 = -2*w - 7*l + 4*l for w.
2
Solve 10*p + 802 = -y, 2635 = -13*p - 3*y + 1589 for p.
-80
Solve -4*f + 5528 - 5561 = -5*c, 3*f + 30 = 9*c for c.
1
Solve 2*r + 5*b = 10, -609 + 613 = -3*r + 2*b for r.
0
Solve 820*s + 2*m = 818*s + 32, -2*m + 34 = 4*s - 4*m for s.
11
Solve 5*h = -15, -32320*j + 32325*j - 4*h + 3 = 0 for j.
-3
Solve 0*h + 4*h = 2*h + 8, -4*n + 937*h = 927*h + 64 for n.
-6
Solve -350*f - 115 = y - 342*f, -15 = f for y.
5
Solve -42 = 3*c - 2*l, -4*c + 50568197*l - 50568196*l - 31 = 0 for c.
-4
Solve -3*h - 22*s + 1348 = 1552, -h + 10*s + 21*s = -277 for h.
-2
Solve 31 - 142 = -66*r + 5*m + 189, -r = -5*m + 25 for r.
5
Solve -110*c + 121*c = 2*w + 12 + 117, -5*w + 5*c - 210 = 0 for w.
-37
Solve 5*d = 3*x - 345, -x + 3259*d = 3282*d - 189 for x.
120
Solve 870*r - 874*r - 54 = 2*v, 2*r + 9*v + 35 = 0 for r.
-13
Solve -4*f + 93 = h + 86, -4*h - 3*f = 9*h - 42 for h.
3
Solve 0 = 2*i - 5*m + 41, -35*i - 17*m = -14*i - 22*i - 151 for i.
2
Solve 4*s - 5*f = -60, -106270 + 106238 = 4*s + 2*f for s.
-10
Solve 5*v - 319*n = -312*n + 122, 8 + 18 = -3*v - 2*n for v.
2
Solve -540*t + 545*t = -2*b - 122, -989 + 121 = 36*t + 4*b for t.
-24
Solve -3*n = -5*z - 35, 9*n - 2976*z + 2981*z - 85 = 0 for n.
10
Solve r = -3*r + p - 0*p + 19, 6*r - 46 = 3*p - 19 for r.
5
Solve -13105*n + 5*v - 57 + 152 = -13102*n, -2*v = -12*n + 38 for n.
0
Solve 3*k - 4*f - 9376 + 9223 = -0*k, -2*k - 6*f - 262 = 0 for k.
-5
Solve -4*q + 4*r + 346512 = 346488, -3*r - 18 = -q for q.
0
Solve -6*c - 6*c + 260 = -69*a - 7*c, -2*a - 2*c - 29 = -3*a for a.
-5
Solve -2*y + 3*y - o = 2*y - 17, 5361*o - 5360*o - 20 = -8 for y.
5
Solve 14*q - 13*q + 55 = 4*a, -9*q - 54 = -4*a - 7*q for a.
14
Solve 3*m + 528 - 351 = 12*d, -5*d + 67 = m for d.
14
Solve 3*a - 193 + 11 = 3*u + 116 - 94, 23*a = u + 68 for a.
0
Solve 0 = 4437*t - 4434*t + 2*o + 25, 0 = t - 3*o - 10 for t.
-5
Solve 654*z = a + 715*z + 122, -3*z = -5*a + 6 for a.
0
Solve -2073 = -3*k + 2*v - 2048, 7*k + 3 = -3*v for k.
3
Solve -208 = 8*w + 2*x, -4*w + 544670 = 2*x + 544778 for w.
-25
Solve 114*y - 76*y + 5*a = 8, 4*a + 30 = -5*y + 11*y for y.
1
Solve 5*a + 6 + 28 = -10*c + 19, 25 - 13 = -5*c - a for c.
-3
Solve 1446 = -467*o + 169*h - 85*h - 83*h, 0 = -4*o + h - 57 for o.
-3
Solve -u + 106*x - 101*x + 6 = 9, 0 = 10*x for u.
-3
Solve 15*s + 7*g + 94 = 6*g, 0*s + 0*s - 476 = 14*g for s.
-4
Solve 27*v + 2*z = -71, 2*v + 15706*z - 4 = 15704*z for v.
-3
Solve -6*x - 7 = 3*j - 2*x - 91, 5*x - 216 + 967 = 23*j for j.
32
Solve 16*h - 3*f - 48 = -2*h, 13*h - 32*h + 15*h + 9*h - 19 = -2*f for h.
3
Solve 0 = -4*m - 0*m + 16*u + 112, 0 = 5*m - 6*u + u - 41978 + 41913 for m.
8
Solve 57*s - 59*s = 9*y - 4, 4*s = 2*y + 8 for y.
0
Solve -5*s + 64*f = 61*f + 106, 31*f = -s + 1148 for s.
1
Solve -231427*y + 231422*y = 2*a - 43, 0 = 3*y - 15*a + 282 for y.
1
Solve -5*m + 2*d = -153, 179*d = 207*d - 28 for m.
31
Solve 2*c + 57298*b = 57299*b - 2, -3 = 3*c - 11*b for c.
-1
Solve -2*c + 5*i = 4, -8*c - i - 38460853 = -38460921 for c.
8
Solve 40 = 5*w - 2*a, -3*w - w = -608*a + 612*a - 4 for w.
6
Solve d - 4*r = -95, -14*d = 10*d - 21*d + 5*r - 131 + 25 for d.
-3
Solve -3*k - 239*f = -8*k - 235*f - 50, 70 = 14*f for k.
-6
Solve -4*u + 3*x = 26, -11*u + 9*u + 4*x + 30 = -5*u + x for u.
-8
Solve -2*u + 50 = 10*o, -18275506*o - 40 = -18275511*o - 4*u for o.
4
Solve -5*v + 3*s - 177 = 0, -91214*v - 146 = -91210*v + 2*s for v.
-36
Solve 22 = -3*k + 5*u, 81069*k + 16 = 81070*k + 3*u for k.
1
Solve -12*s - 71 = -2*s - 7*s - 7*u, -u = s - 3 for s.
-5
Solve 0 = -2*k - 4*f - 50, -238*k - 9 = -241*k + 3*f + 42 for k.
3
Solve n - 58 = -5*u, 51*n - 6500*u + 200 - 50 = -6496*u for n.
-2
Solve -n + j + 689 = 325 + 362, -5*n + 4*j = -7 for n.
-1
Solve -4*p - 11290 = 8*h - 11706, -h - 4*p = -59 for h.
51
Solve -57 = 3*m - 3*o, -o + 79 = -70*m + 65*m for m.
-15
Solve 4*x + 36 = -3*j, x - 2*x - 6942*j + 4 = -6938*j for x.
-12
Solve 3*z + 421 = -49*g + 604, 6 + 3 = -5*g + 2*z for g.
3
Solve 0 = 16*c - 3*q + 204, 64 = -4*c + 30647*q - 30643*q for c.
-12
Solve -5*r - 4*k - 92342 = -92236, -2*k = r + 26 for r.
-18
Solve k = -3*t + 20, 2*t - 43 = -5*k + 6*t for k.
11
Solve -38*y - 3*w - 20 + 42 + 33 = -34*y, 3*y = 5*w + 34 for y.
13
Solve 5*b - 5627060 = -3*z - 5627070, -4*b = 5*z + 21 for z.
-5
Solve 0 = 2*o + 4*m + 82, 0 = 93*o - 43*m + 46*m + 3813 for o.
-41
Solve 2*r = 47*a - 43*a + 100, 79*a + 4*r - 26 = 0 for a.
-2
Solve 45*j - 6981 + 6857 = -4*n, j - 2*n - 32 = 0 for j.
4
Solve 4*y - 108 = 3*q - 2*y + 3*y, 5*q - 6*y = -115 - 98 for q.
-3
Solve 6*v = 7*i - 168 + 453, 3*v - 76 = -i - 109 for i.
-39
Solve 2*i + 259 - 235 = 0, -2*p - 90 = 8*i for p.
3
Solve -19*q - 354 = -79722*f + 79725*f, 2*f + 62 = -3*q for f.
-4
Solve 11*l + 0*l = 5*n + 7, 158*n - 13*l + 6*l = 162*n - 5*l + 38 for n.
-8
Solve -4*a + 12 = 4*q, 6860*a + 57 = 6855*a + 4*q for a.
-5
Solve -4*m + 41 = -3*q, -106*m + 196*m = 7*q + 97*m + 63 for q.
-11
Solve 5*r - 25 = -4*b, -5*b - 7641*r + 20 = -7637*r for b.
0
Solve -5*d = -5*u - 50, 3*u - 262*d - 10 = 4*u - 260*d for u.
-10
Solve b - l - 4 - 9 = -2, 4*b + l + 10 = 4*b for b.
1
Solve o + 3*w = 22, 3*o + 11*w - 13*w = -305 - 348 + 620 for o.
-5
Solve 10*v - 14*d = -92, 3*d - 31 = 38*v - 37*v - 9 for v.
2
Solve -5*l + 32031 = -w + 32044, -2*l - 34 = 14*w for l.
-3
Solve 4 = 6*x + 22, -4 = -22*w + 23*w - x for w.
-7
Solve 6*k - 1189 = -7*t - 1145, k + 8 = -5*t for t.
-4
Solve t - 83*v + 35*v + 1 = -38*v, 4*t - 164 = -2*v for t.
39
Solve 4*u + 16*a - 11 - 13 = 0, -110*a + 12 = -106*a for u.
-6
Solve -6*h + 5 = 29*x + 31*h - 20*h, -4*x - h - 3 = x for x.
-1
Solve 0 = 2*b - 2*p - 26, 187 = -p + 173 for b.
-1
Solve -2*g - y = -g + 21*g - 391, 0 = -5*g + 4*y + 110 for g.
18
Solve 536*a - 534*a = -2*l + 12, -10*l - 21*a + 16 = 0 for l.
10
Solve 59*v + 62*v - 123*v + 27 = d, 75 = 4*d + 5*v for d.
5
Solve -k + 5*l = 65, -14*k + 33*l = -37*k + 577 for k.
5
Solve 0 = -5*a, -4*c - 38 = 5*a - 18 for c.
-5
Solve 44*d - 30*d = 42, 0 = 17*u - 13*u + 14*d - 10 for u.
-8
Solve 2*z = 6*t - 10*t - 132, 28*t = 23*t + 3*z - 187 for t.
-35
Solve -3*v - 57*w + 30*w + 11 = -23*w, -2*v + 3*v + w - 3 = 0 for v.
1
Solve 5*x + 106*g + 56 = 0, -x + 453*g = x + 456*g - 17 for x.
10
Solve -37*t - 70 = -7*l + 6*l, 4*t = -0*l - 3*l - 20 for t.
-2
Solve 4 = -3*y + 5*v, -y + 2*y + 28*v - 59*v = -30*v for y.
2
Solve -3*v + 2*r - 11 = 0, v + 0*v = -6*v - 2*r + 7850 - 7809 for v.
3
Solve 0 = -2*z - 4*h - 126824775 + 126824731, -3*z - 28 = 4*h + 20 for z.
-4
Solve -3*t - 6*l = -387, -105327*l + 105329*l = 4*t + 104 for t.
5
Solve -3*s + 5*j + 23 = 0, 46968*s - 2*j = 46871*s - 374 for s.
-4
Solve 8*u + 26705 = -4*q + 26829, -4*u + 4*q = -80 for u.
17
Solve q - 12 = -5*u + 15, 0 = -2*u + 4*q + 4448 - 8983 + 4493 for u.
3
Solve h = -4*y + 2 + 4 + 25, -4189*y = h - 4194*y - 31 for h.
31
Solve 0 = -22*h + 26*h - 3*d + 2 - 10, -2*d = 4*h - 28 for h.
5
Solve 36*q - 83*q + 21*q + 45 = -5*u - 31*q, 3*u - 4*q = -48 for u.
-12
Solve -3*v = 22*k + 764, -k + 0*k + v + 963 = 1000 for k.
-35
Solve 20 = 2*h - 5*y, 3*y - 21244 + 21256 = -5*h for h.
0
Solve 0 = x + 5*f - 67 + 50 + 37, -173*f = 5*x + 840 for x.
5
Solve 0 = -5*h - 2*f + 129, 0 = 4*h + 4*f + 37234 - 37342 for h.
25
Solve -2*f - 37 = 3*a, 11267*a = 11272*a - 4*f + 91 for a.
-15
Solve 37*x + 1092 = v + 44*x + 1040, -3*x + 27 = 2*v for v.
3
Solve 4*v + 108 = -4*z, 5*z + 2*z + 2*v + 4*v = 8*z - 127 for z.
-5
Solve -5*w + t - 780 = -773, 0 = -34*w + 5*t - 53 for w.
-2
Solve s + 8*x + 16 = 0, -17*s + 48*s - 26*s - 3*x = -2*x + 2 for s.
0
Solve -11*u + 55 = 0, 2835 - 3230 = 5*l - u for l.
-78
Solve -389*b = 4*t - 398*b + 202, 4*b - 85 = -3*t for t.
-1
Solve -q + 3*r + 185 = 0, -8*q + 1793 = -9*q - 32*r - 122 for q.
5
Solve p + 0*p - 115 = 5*v + p + 5*p, 146*v + 193 - 6 = 5*p for v.
-2
Solve 2*d - 7*u + 8*u - 189 = 0, 4*d - 205 = 3*u + 188 for d.
96
Solve -2*h - 836 = v - 830, 4*h - 36 = -8*v + 10*v for h.
3
Solve 2*v = 25*q - 12*q - 46, -2*q + 5*q - q - v - 5 = 0 for q.
4
Solve -8 + 145 = 406*m - 402*m - 5*n, -m + 4*n + 37 = 0 for m.
33
Solve 3*f + 1769465*n = 1769466*n + 1, 4*f - 6*n - 20 = 0 for f.
-1
Solve -18*g - 3*g - 26 = -h + 290, -2*g - 38 = 5*h - 13 for g.
- | {
"pile_set_name": "DM Mathematics"
} |
305
What is the next term in 23044, 183817, 620204, 1470013, 2871052?
4961129
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55669
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-3691877
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-34219687
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-9911
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-1619514
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-22701
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2631
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3581786
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11383578
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-538365
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-600666
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-2853
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-95124
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3001505
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-95367
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232662
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138857
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245521
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136534684
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-2392134
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-16974007
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-1663781
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-408562
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-28630398
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1351662
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165254
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-11356852
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-276819
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-12495
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-72871
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51412145
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-194937588
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-241108
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2116384
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141947
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611214
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-109406
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-109017525
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2315136
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6034
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66902
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-132017
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22487
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27509
What is the next term in -30, -2270, -8926, -22212, -44342, -77530, -123990, -185936?
-265582
What comes next: -26989, -43116, -59243, -75370, -91497?
-107624
What comes next: 14760, 14771, 14790, 14817, 14852, 14895?
14946
What is the next term in 51946, 47209, 42460, 37693, 32902, 28081, 23224?
18325
What is the next term in 36291, 145138, 326539, 580494, 907003?
1306066
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5590032
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661
What is next in -7515, -15145, -22797, -30471, -38167?
-45885
What is next in -76162, -151098, -226038, -300982?
-375930
What is next in 8822, 35334, 79504, 141320, 220770, 317842, 432524?
564804
What is the next term in -1241022, -4964123, -11169292, -19856529?
-31025834
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6197238
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63018
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-2075
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8809513
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-58631
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86220
What is the next term in -74867, -150003, -225405, -301073, -377007, -453207, -529673?
-606405
What is next in 35672921, 35672924, 35672929, 35672936, 35672945, 35672956?
35672969
What is the next term in -977335, -977336, -977337, -977338, -977339?
-977340
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159938
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2285034
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19348
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-1089127
What is the next term in 102179735, 204359468, 306539201?
408718934
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-460933
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56038823
What comes next: -3510, -6556, -9600, -12642, -15682?
-18720
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178
What is the next term in -360636, -721280, -1081946, -1442646, -1803392?
-2164196
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21639070
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-150069971
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-395916
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167128
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-609778
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402276
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1801761
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8043997
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10852
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245425
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8031
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1016717
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-1745431
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-77880
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54522
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1332867
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126080
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13220030
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9637622
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-4997280
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33364429
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1344
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3640785
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2268928
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76639
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2179510
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31146
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-30214
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-82464973
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-381994021
What comes next: -112746, -450997, -1014740, -1803963, -2818654, -4058801, -5524392?
-7215415
What comes next: -10268, -10793, -11670, -12899, -14480?
-16413
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-1735
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17861
What is the next term in -361244, -1445107, -3251570, -5780651, -9032368, -13006739?
-17703782
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11342
What is next in -23217678, -23217698, -23217720, -23217744, -23217770, -23217798, | {
"pile_set_name": "DM Mathematics"
} |
b(f) = -5*f**3 + 3*f**2 + 4. Let n(w) = p*b(w) + 6*j(w). Factor n(k).
-(k - 2)**2*(k + 1)
Let l(a) = -a**2 - 4*a + 14. Let u be l(-6). Determine s, given that 2*s**3 + 5*s**5 - 4*s**u - s**5 + 10*s**4 + 58*s - 58*s = 0.
-2, -1, 0, 1/2
Let i(z) be the third derivative of -z**9/302400 + z**8/33600 - z**7/8400 + z**6/3600 - z**5/60 + 4*z**2. Let j(c) be the third derivative of i(c). Factor j(r).
-(r - 1)**3/5
Let x(q) = -q**3 - 6*q**2 - 5*q - 1. Let h be x(-5). Let k be h - (-12)/((-6)/(-2)). Determine v, given that -3*v**4 + 6*v**3 + k*v - 3*v**2 - v - 2*v = 0.
0, 1
Let k(s) = 2*s**2 + 7*s. Let z(a) = 6*a**2 + 20*a. Let o(y) = -14*k(y) + 5*z(y). Solve o(w) = 0 for w.
-1, 0
Let o(t) = 18*t + 1. Let u be o(2). Let -39 - 2*v - 4*v**4 + u + 3*v**3 + 6*v**2 - v**3 = 0. What is v?
-1, -1/2, 1
Let y(m) be the first derivative of 0*m**2 + 0*m - 8/3*m**3 + m**4 - 6. Solve y(r) = 0 for r.
0, 2
Let q(o) be the second derivative of o**5/110 - o**4/66 - 2*o**3/33 - 7*o. Determine l, given that q(l) = 0.
-1, 0, 2
Suppose 2/9*l**4 - 10/9*l**3 + 2*l**2 - 14/9*l + 4/9 = 0. What is l?
1, 2
Let p be -8*4/(-128) + 1/28. Factor -p*z**2 + 0*z + 0.
-2*z**2/7
Let j(l) be the third derivative of l**7/3780 - l**6/180 + l**5/20 - l**4/3 + 4*l**2. Let k(x) be the second derivative of j(x). Solve k(h) = 0 for h.
3
Let a be (12/9)/((-4)/(-12)). Suppose a = -5*g + 24. Suppose -3 - 12*r**3 - 2*r**4 - 12*r + 0*r**4 - 2*r**g - 18*r**2 + r**4 = 0. Calculate r.
-1
Let m(z) be the third derivative of z**5/12 - 5*z**4/24 - 5*z**3/3 + 23*z**2. Suppose m(o) = 0. Calculate o.
-1, 2
Let m(j) be the first derivative of j**5/10 - 3*j**4/8 + j**3/2 - j**2/4 + 14. Factor m(s).
s*(s - 1)**3/2
Let a(b) = 3*b**3 - 77*b**2 + 216*b - 216. Let p(k) = 8*k**3 - 192*k**2 + 540*k - 540. Let u = -15 - -20. Let h(d) = u*p(d) - 12*a(d). Factor h(x).
4*(x - 3)**3
Suppose 3*v - 23 = 5*r - 0*r, -20 = -3*v + 2*r. Let n = 6 - v. Solve 0*p + n - 1/5*p**2 = 0 for p.
0
Let v(r) = -r**2 - 4*r - 3. Let y be v(-3). What is h in 0*h**2 - 2*h - 1 - h**2 + y = 0?
-1
Suppose 13 = 4*p + 3*t, -4*p + 7*p = -2*t + 10. Factor 6*s**3 + 21 - 3*s**p - 3*s - 24 + 0*s**2 + 6*s**2 - 3*s**5.
-3*(s - 1)**2*(s + 1)**3
Let a be 6*(-2 + (-3)/(-2)). Let z be a/(-6)*-2*-2. Let 0 + 14/5*j**3 + 4/5*j + 18/5*j**z = 0. What is j?
-1, -2/7, 0
Let b(h) be the third derivative of h**5/570 + 5*h**4/228 - 38*h**2. What is l in b(l) = 0?
-5, 0
Let y be 22/11 + (-1 - -1). Find p, given that -1/4*p**5 - p**3 + 1/2 - p**4 + 1/2*p**y + 5/4*p = 0.
-2, -1, 1
Determine y, given that -4/7*y**2 - 6/7*y**3 + 0*y**4 + 2/7*y**5 + 0 + 0*y = 0.
-1, 0, 2
Let y(h) be the first derivative of -4*h**5/15 - h**4/3 + 8*h**3/9 - 1. Factor y(z).
-4*z**2*(z - 1)*(z + 2)/3
Suppose 0 = 4*s + 5*c - 92, -4*c - 1 = -17. Factor -s + 3*m**3 + 30*m - 2*m**3 + 0*m**3 - 14*m**2 + m**3.
2*(m - 3)**2*(m - 1)
Let s(l) be the first derivative of -1/2*l**4 + 2/5*l**5 - 1/3*l**3 + 5/4*l**2 + 7 - l - 1/12*l**6. Let s(x) = 0. Calculate x.
-1, 1, 2
Let v = -174 + 703/4. Solve -5/4*f**3 + v*f**4 - 9/4*f**2 + 5/4*f + 1/2 = 0.
-1, -2/7, 1
Let f(o) be the first derivative of -2 + 0*o**3 - 1/8*o**2 - o + 1/48*o**4. Let a(s) be the first derivative of f(s). Find g, given that a(g) = 0.
-1, 1
Let j(q) be the second derivative of q**6/60 + q**5/30 - q**4/12 - q**3/3 + 5*q**2/2 - 4*q. Let t(z) be the first derivative of j(z). Factor t(w).
2*(w - 1)*(w + 1)**2
Factor -24/13 + 2/13*d**2 + 22/13*d.
2*(d - 1)*(d + 12)/13
Let d(i) be the first derivative of 1/12*i**6 + 1/3*i**3 + 0*i**4 + 0*i + 1 - 1/5*i**5 - 1/4*i**2. Let d(p) = 0. Calculate p.
-1, 0, 1
Let x(g) be the second derivative of 0 + 0*g**3 + 3/80*g**5 + 0*g**2 + 1/48*g**4 - 9*g. Solve x(q) = 0 for q.
-1/3, 0
Let b = -221 - -223. Let q = 164 + -1146/7. Determine j, given that 2/7 + q*j**b + 4/7*j = 0.
-1
Let g(u) be the second derivative of 3/130*u**5 + 0 - 1/26*u**4 + 0*u**2 - 1/195*u**6 - u + 1/39*u**3. Factor g(n).
-2*n*(n - 1)**3/13
Let k(a) be the second derivative of a + 0 - 1/20*a**5 + 0*a**4 + 1/6*a**3 + 0*a**2. Factor k(z).
-z*(z - 1)*(z + 1)
Let w be (40/12)/(4/6). Suppose 2*d**4 + d**2 + d**w - d - 4*d**4 + d**2 = 0. Calculate d.
-1, 0, 1
Let m(q) be the second derivative of q**7/63 + q**6/45 - q**5/15 - q**4/9 + q**3/9 + q**2/3 + 5*q. Factor m(v).
2*(v - 1)**2*(v + 1)**3/3
Let y(m) be the first derivative of m**7/1680 + m**6/240 + m**5/80 + m**4/48 - m**3 - 2. Let f(o) be the third derivative of y(o). Factor f(v).
(v + 1)**3/2
Suppose -80/7*k + 4/7*k**2 + 400/7 = 0. Calculate k.
10
Let m(q) = q**3 + 5*q**2 + 4*q + 4. Let i be m(-4). Factor -2*l**5 + l**5 - 3*l**4 + 2*l**2 + 3*l + 0*l**i - 2*l**3 + 1.
-(l - 1)*(l + 1)**4
Let u(k) = -k**2 + 7*k + 8. Let p(d) = d**2 - 3*d - 4. Let t(x) = 5*p(x) + 3*u(x). Let t(i) = 0. What is i?
-2, -1
Let i be (-15)/20 - 66/(-56). Let -i*b**5 + 2/7*b + 0 + 1/7*b**3 - 5/7*b**2 + 5/7*b**4 = 0. Calculate b.
-1, 0, 2/3, 1
Let d be (3 - (-39)/(-9))*-3. Suppose d*s = s. Determine f, given that 1/5*f - 2/5*f**2 + 1/5*f**3 + s = 0.
0, 1
Let p be 13/4 + (-5)/20. Factor v**3 - 2*v**4 + 4*v**p - v**3 - 2*v**5.
-2*v**3*(v - 1)*(v + 2)
Let p(l) = 3*l - 2. Let z be p(1). Let f be 136/240 + z/(-6). Let -f*k**2 + 4/5*k - 38/5*k**4 + 0 - 14/5*k**5 - 6*k**3 = 0. Calculate k.
-1, 0, 2/7
Let r(x) be the second derivative of -x**9/45360 + x**8/20160 + x**7/7560 - x**6/2160 + x**4/4 + 2*x. Let g(v) be the third derivative of r(v). Factor g(t).
-t*(t - 1)**2*(t + 1)/3
Factor 1/4*s**3 + 3/4*s**2 + 1/2*s + 0.
s*(s + 1)*(s + 2)/4
Let m(t) = 3*t - 7. Let c be m(3). Let 10*g**3 - 7 + 0 + 5 + 2*g**c - 10*g = 0. Calculate g.
-1, -1/5, 1
Suppose -2*c - 5*x = 3*c + 15, 4*c - 5*x - 33 = 0. Let n(w) be the third derivative of -1/120*w**5 - 1/48*w**4 + 0 - c*w**2 + 0*w**3 + 0*w. Factor n(r).
-r*(r + 1)/2
Let n(i) be the second derivative of i**7/42 + i**6/30 - i**5/20 - i**4/12 - 3*i + 8. Determine o, given that n(o) = 0.
-1, 0, 1
Let z(f) = 8*f**5 - 10*f**4 + 2*f**3 - 12*f**2 - 12*f. Let g(u) = 3*u**5 - 4*u**4 + u**3 - 5*u**2 - 5*u. Let v(w) = 12*g(w) - 5*z(w). Let v(k) = 0. Calculate k.
-1/2, 0, 1
Let o(l) be the first derivative of -l**5/40 + l**4/24 + l**3/6 - 5*l - 4. Let u(x) be the first derivative of o(x). Factor u(m).
-m*(m - 2)*(m + 1)/2
Factor 0 + 0*u + 9/8*u**3 + 3/8*u**4 + 3/4*u**2.
3*u**2*(u + 1)*(u + 2)/8
Let 588*l**4 + 2002*l**3 - 16/9 - 2058*l**5 + 56*l - 5276/9*l**2 = 0. What is l?
-1, 2/21, 1
Let i(y) = -4*y**2 - 51*y + 13. Let n be i(-13). Factor 3/2*b + n - 9/4*b**2.
-3*b*(3*b - 2)/4
Let d(g) = -g**2 + 6*g. Let b be d(6). Let l = -119 + 122. Determine n, given that 1/2*n**2 + b - 1/2*n + 1/2*n**l - 1/2*n**4 = 0.
-1, 0, 1
Factor -1/4*d**5 + 0*d**2 + 0 + 0*d**4 + 1/2*d**3 - 1/4*d.
-d*(d - 1)**2*(d + 1)**2/4
Suppose -1733 = -5*z - 608. Let b = -64 + z. Factor b*d**4 + 8 + 50*d**5 - 16*d + 38*d**3 + 5*d**2 - 51*d**2 - 51*d**4.
2*(d + 1)**3*(5*d - 2)**2
Let f(h) be the second derivative of -h**5/10 + 7*h**4/6 - 12*h. Factor f(c).
-2*c**2*(c - 7)
Let a = -5 + 9. Let -8*x**2 - 4*x**2 + 2*x**3 - 4 - 90*x + 76*x + a*x**4 = 0. What is x?
-1, -1/2, 2
Let q(l) be the third derivative of -11*l**6/120 - l**5/6 - 2*l**3/3 - 5*l**2. Let z(k) = 10*k**3 + 11*k**2 + 5. Let t(n) = 5*q(n) + 4*z(n). Factor t(j).
-3*j**2*(5*j + 2)
Let y(x) be the third derivative of -x**7/840 - x**6/360 - 2*x**3/3 - 2*x**2. Let r(d) be the first derivative of y(d). Solve r(a) = 0.
-1, 0
Let o(t) = -t**2 + 9*t + 3. Let z be o(9). Let 1 - 2 - 4*a + 0 - z*a**2 = 0. What is a?
-1, -1/3
Let n(g) = -g**2 + 6*g + 7. Let x be n(7). What is k in x + 1/3*k**2 - 2/3*k = 0?
0, 2
Let f = -8 + 13. Factor 0*q**2 + q**f - 3*q**5 - 4*q**2 + 6*q**3.
-2*q**2*(q - 1)**2*(q + 2)
Suppose -2*a - 30 = -4*z - 2, 5*a = 5*z - 40. Suppose 3*w - s = z, -6*w - 4*s = -2*w - 8. Factor -1 - 7/2*v - 5/2*v**w.
-(v + 1)*(5*v + 2)/2
Let b = 2683/18 - 149. Let w(x) be the second derivative of 0*x**2 + 0 - 1/12*x**5 + 2*x - 1/30*x**6 - b*x**4 + 0*x**3. Solve w(o) = 0.
-1, -2/3, 0
Let j = -24 + 4. Let k be j/(-6) + (-4)/12. Determine o so that -o**k - 1/3*o + o**2 + 1/3*o**4 + 0 = 0.
0, 1
Let o(n) be the first derivative of -8/3*n + 1/3*n**4 + 2 - 16/9*n**3 + 10/3*n**2. Factor o(k).
4*(k - 2)*(k - 1)**2/3
Let f(a) be the second derivative of a**7/840 - a**6/480 - 2*a**2 + 6*a. Let w(x | {
"pile_set_name": "DM Mathematics"
} |
housands digit of 752639?
7
What is the millions digit of 10681644?
0
What is the hundred thousands digit of 11095184?
0
What is the ten thousands digit of 296560?
9
What is the ten thousands digit of 11176868?
7
What is the hundreds digit of 695600?
6
What is the ten thousands digit of 156454?
5
What is the hundred thousands digit of 291116?
2
What is the thousands digit of 1655381?
5
What is the tens digit of 12199?
9
What is the units digit of 2403017?
7
What is the tens digit of 1468786?
8
What is the thousands digit of 1380772?
0
What is the millions digit of 4982501?
4
What is the ten thousands digit of 1122978?
2
What is the hundred thousands digit of 1403398?
4
What is the ten thousands digit of 271711?
7
What is the thousands digit of 64026?
4
What is the hundreds digit of 5963097?
0
What is the hundreds digit of 975107?
1
What is the ten thousands digit of 240527?
4
What is the ten thousands digit of 691374?
9
What is the millions digit of 1498402?
1
What is the hundreds digit of 192229?
2
What is the thousands digit of 669443?
9
What is the ten thousands digit of 1659015?
5
What is the millions digit of 9087658?
9
What is the hundred thousands digit of 2156135?
1
What is the hundreds digit of 5070940?
9
What is the units digit of 2538821?
1
What is the ten thousands digit of 472636?
7
What is the hundred thousands digit of 3633597?
6
What is the ten thousands digit of 613353?
1
What is the millions digit of 17701697?
7
What is the units digit of 15619863?
3
What is the hundred thousands digit of 2754449?
7
What is the thousands digit of 4870634?
0
What is the hundred thousands digit of 598533?
5
What is the hundreds digit of 3163338?
3
What is the ten thousands digit of 24425072?
2
What is the tens digit of 1995897?
9
What is the hundreds digit of 3311596?
5
What is the thousands digit of 713066?
3
What is the hundred thousands digit of 3338032?
3
What is the thousands digit of 1317522?
7
What is the units digit of 296771?
1
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5
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8
What is the millions digit of 20551349?
0
What is the ten thousands digit of 7236833?
3
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6
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6
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3
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0
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0
What is the tens digit of 172615?
1
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2
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8
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9
What is the thousands digit of 561395?
1
What is the ten thousands digit of 60341?
6
What is the units digit of 2976598?
8
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6
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6
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7
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2
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7
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5
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6
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7
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4
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2
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2
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2
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3
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5
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0
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3
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4
What is the tens digit of 819844?
4
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2
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6
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9
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6
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2
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6
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2
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8
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1
What is the thousands digit of 6393778?
3
What is the units digit of 313397?
7
What is the hundred thousands digit of 817002?
8
What is the ten thousands digit of 196617?
9
What is the tens digit of 191308?
0
What is the ten thousands digit of 2308883?
0
What is the thousands digit of 260368?
0
What is the thousands digit of 96268?
6
What is the tens digit of 918239?
3
What is the hundreds digit of 154555?
5
What is the thousands digit of 532831?
2
What is the ten thousands digit of 16596400?
9
What is the hundreds digit of 7821918?
9
What is the tens digit of 3442433?
3
What is the hundreds digit of 808510?
5
What is the hundred thousands digit of 816739?
8
What is the units digit of 390218?
8
What is the hundred thousands digit of 7370163?
3
What is the millions digit of 5742163?
5
What is the ten thousands digit of 150127?
5
What is the hundred thousands digit of 3458746?
4
What is the thousands digit of 6283266?
3
What is the hundreds digit of 46751?
7
What is the tens digit of 114371?
7
What is the hundred thousands digit of 16653724?
6
What is the hundreds digit of 40263?
2
What is the hundreds digit of 6270662?
6
What is the ten thousands digit of 489317?
8
What is the ten thousands digit of 132168?
3
What is the tens digit of 628685?
8
What is the units digit of 724861?
1
What is the ten thousands digit of 1305370?
0
What is the tens digit of 3854256?
5
What is the hundreds digit of 32857103?
1
What is the ten thousands digit of 26198723?
9
What is the hundreds digit of 2914092?
0
What is the hundreds digit of 83819?
8
What is the ten thousands digit of 1912565?
1
What is the thousands digit of 765696?
5
What is the units digit of 443911?
1
What is the hundreds digit of 363525?
5
What is the hundreds digit of 6767912?
9
What is the units digit of 349555?
5
What is the units digit of 6494243?
3
What is the ten thousands digit of 35078?
3
What is the hundreds digit of 301243?
2
What is the thousands digit of 13873431?
3
What is the tens digit of 419489?
8
What is the millions digit of 5600784?
5
What is the millions digit of 1150313?
1
What is the hundred thousands digit of 35386373?
3
What is the tens digit of 16910379?
7
What is the ten millions digit of 16436109?
1
What is the tens digit of 556047?
4
What is the hundred thousands digit of 216653?
2
What is the thousands digit of 2686957?
6
What is the ten thousands digit of 1390809?
9
What is the tens digit of 609934?
3
What is the ten thousands digit of 3187341?
8
What is the tens digit of 252104?
0
What is the hundreds digit of 794212?
2
What is the units digit of 5918?
8
What is the hundreds digit of 4453236?
2
What is the thousands digit of 7071230?
1
What is the thousands digit of 13737353?
7
What is the thousands digit of 45609?
5
What is the units digit of 352140?
0
What is the units digit of 133903?
3
What is the units digit of 14078025?
5
What is the hundred thousands digit of 421381?
4
What is the millions digit of 7471166?
7
What is the tens digit of 95059?
5
What is the ten thousands digit of 2576900?
7
What is the units digit of 660321?
1
What is the hundreds digit of 196429?
4
What is the ten thousands digit of 361179?
6
What is the thousands digit of 10873966?
3
What is the ten thousands digit of 12012299?
1
What is the thousands digit of 217402?
7
What is the hundreds digit of 265331?
3
What is the thousands digit of 245361?
5
What is the thousands digit of 588758?
8
What is the hundreds digit of 11932659?
6
What is the hundred thousands digit of 1743843?
7
What is the tens digit of 8209994?
9
What is the ten thousands digit of 6875143?
7
What is the hundred thousands digit of 735338?
7
What is the hundreds digit of 82173?
1
What is the thousands digit of 2599660?
9
What is the ten thousands digit of 177003?
7
What is the millions digit of 2464654?
2
What is the tens digit of 98770?
7
What is the millions digit of 6179476?
6
What is the ten millions digit of 15248221?
1
What is the ten thousands digit of 3228092?
2
What is the tens digit of 1736736?
3
What is the units digit of 228373?
3
What is the hundred thousands digit of 672294?
6
What is the thousands digit of 46468?
6
What is the units digit of 4416833?
3
What is the ten thousands digit of 1466150?
6
What is the thousands digit of 8777048?
7
What is the hundreds digit of 829395?
3
What is the hundred thousands digit of 8870627?
8
What is the tens digit of 681781?
8
What is the units digit of 54798?
8
What is the thousands digit o | {
"pile_set_name": "DM Mathematics"
} |
rue
Let s(o) = -10*o + 1. Let g = -4 - -6. Suppose -k + g = -3*r, -2*r + 4*k - 3 = -5. Is s(r) a multiple of 11?
True
Let p be (-2)/(0 + 3 + -5). Does 20 divide -96*(1/3 - p)?
False
Let h = 7 + -3. Let z be 4/(0 - h/(-6)). Suppose u - 55 = -3*f, -43 = -z*u + 5*u + 3*f. Is 16 a factor of u?
False
Let k be 0 + (-24 - 1/(-1)). Let m be (k/4)/((-3)/(-12)). Let v = -8 - m. Is v a multiple of 15?
True
Let g(u) = 7*u + 2*u**2 - 3*u**2 - 2*u**2 - 5 - 5*u**2 + u**3. Let a be g(4). Let b = -24 - a. Is 5 a factor of b?
False
Suppose 4*k = 4*r + k - 7, 4*k + 16 = 2*r. Does 7 divide 15/9*(-42)/r?
True
Suppose 346 = -x + 4*x - 4*z, 2*x - 219 = 5*z. Is x a multiple of 21?
False
Suppose -60 = -3*j + 3*w, 75 = 4*j - 5*w - 7. Is 11 a factor of j?
False
Let m = 2 + 0. Suppose -7*q = -m*q. Does 9 divide q + 1 + (1 - -7)?
True
Suppose -4*n + 42 = -3*n. Let y = -25 - -29. Suppose y*c = c + n. Does 7 divide c?
True
Let l = 38 + -76. Let w = -3 - 9. Let r = w - l. Is 21 a factor of r?
False
Let u(i) = -4*i - 2. Is u(-6) a multiple of 22?
True
Let p = 597 + -156. Is (2/3)/(14/p) a multiple of 6?
False
Suppose -10 = -2*j - 0. Let m(n) = 4 + 5 + 9*n + 4*n**2 - j*n**2. Is 11 a factor of m(7)?
False
Suppose 5*d + 4*i = -i + 730, -4*i = d - 158. Is d a multiple of 15?
False
Let p(d) be the second derivative of d**4/12 - d**3/3 + 7*d**2/2 + 12*d. Let v be (7/(-2))/(3/(-6)). Is 14 a factor of p(v)?
True
Is (-166)/(-8) - 3/(-12) a multiple of 9?
False
Let i = 38 + -34. Is i a multiple of 2?
True
Let r(d) = d**2 - 4*d + 13. Does 17 divide r(7)?
True
Does 28 divide (-11)/((-55)/280) + -4?
False
Suppose 4*z + 22 = 6, -3*t + 3*z + 27 = 0. Let b(x) = x**3 - 6*x**2 + 7*x - 4. Does 6 divide b(t)?
True
Let v(h) = -7*h**3 + h**2 + 2*h + 3. Let l be v(-2). Suppose 4*g - l = -w, -4*w + 97 = -w - 4*g. Is 15 a factor of w?
False
Suppose 5*o = 3*o + 12. Let h be -15*-1*(-4)/(-2). Is (o/(-9))/((-4)/h) even?
False
Suppose -12 = -0*r + 2*r. Is 24*4*r/(-32) a multiple of 17?
False
Let x(g) = 7*g**2 + 12*g - 4. Let f(q) = q**2 + q - 1. Let r(w) = 6*f(w) - x(w). Is 5 a factor of r(-4)?
False
Let m(y) be the third derivative of -3*y**2 + 0 + 0*y - 1/2*y**3 + 13/24*y**4. Is m(2) a multiple of 8?
False
Let f = 128 - -122. Does 12 divide f?
False
Suppose -297 = -3*d + r + 2*r, 3*d + r - 297 = 0. Does 7 divide d?
False
Let d(t) be the second derivative of t**4/3 - t**3/3 - 7*t**2/2 + 2*t. Let w be d(7). Suppose 0 = 7*c - 2*c - w. Does 13 divide c?
False
Is 2*(-3)/6*-7 a multiple of 7?
True
Let t(a) = -161*a + 2. Does 54 divide t(-2)?
True
Suppose 5*a - 33 = -4*u, 2*u + 10 = 3*a - 23. Is a a multiple of 3?
True
Suppose -5*z + 20 = 5*d, 2*d - 4 = -0*d - z. Let n(o) = 15*o**3 - o**2 - 3*o + 3. Let t be n(1). Suppose d = 5*p - 6*p + t. Is p a multiple of 14?
True
Let i = 2 - 2. Is 18 a factor of -1 + (38 - (1 - i))?
True
Suppose 3*z + 3*a + 14 = -a, 2*a = 4*z - 18. Suppose -t = z*t - 114. Is t a multiple of 15?
False
Let i = -138 - -314. Is 20 a factor of i?
False
Let u(t) = -3*t**2 - 1. Let l be u(-3). Let p be 30/4*l/(-3). Suppose -3*i - 2*i = -3*v - p, 0 = 4*i + 4*v - 56. Is 14 a factor of i?
True
Suppose 4*n - 19 - 1 = 0, 0 = -2*r - 4*n + 28. Suppose -4*c - 3*q - 2*q = -157, -r*q = -20. Is 5 a factor of c?
False
Let r(b) = b**2 - 9*b + 6. Let p(j) = -2*j + 6. Let w be p(-7). Suppose -h - w = -3*h. Is 8 a factor of r(h)?
True
Suppose 3*z = 12*z - 1134. Is z a multiple of 21?
True
Let v(y) = -y**3 - 7*y**2 - y - 8. Let w be v(-10). Suppose 2*x = -2*z + 118, 6*z - w = z + 2*x. Suppose -3*c = 4*a - 80, -2*a - a = c - z. Is 13 a factor of a?
False
Let g(t) = -t**3 - 12*t**2 - 12*t + 4. Suppose -3*u + 0*u = -4*h - 29, -3*h + 3*u = 18. Is 15 a factor of g(h)?
True
Let f(w) = -5*w + 22. Is 21 a factor of f(-7)?
False
Let v(a) = 16*a - 8. Is v(1) a multiple of 3?
False
Let f(u) = u**2 + 7*u - 1. Suppose -x + 2*t - 7 = 0, x = t - 5 + 1. Let j(y) = y. Let w(b) = x*f(b) - 5*j(b). Does 13 divide w(-5)?
False
Let s(i) be the third derivative of i**5/60 - i**4/24 - i**3/3 + 2*i**2. Let z be s(-3). Let o(m) = m**3 - 11*m**2 + 10*m + 11. Is 5 a factor of o(z)?
False
Suppose -3*z = z - 12. Suppose -z*b - 2*b + 15 = 0. Is 215/20 - b/4 a multiple of 5?
True
Let n = 2 - -2. Let u(j) be the third derivative of -j**6/120 + j**5/10 - j**4/6 - j**3/6 + 5*j**2. Is u(n) a multiple of 5?
True
Let r(f) = f**2 + f - 17. Let s be (-1)/(-2)*0*-1. Let w be r(s). Let n = 5 - w. Is 9 a factor of n?
False
Suppose 2*a - 108 = -0*l - 3*l, a - l - 49 = 0. Is 4 a factor of a/12 - 1/4?
True
Let w = -118 - -244. Is 18 a factor of w?
True
Let d(x) = 2*x**2 - 6*x + 2. Let v = 4 - -1. Let r = 10 - v. Does 11 divide d(r)?
True
Let g(t) = t**3 + 2*t**2 + t + 2. Let d be g(-2). Suppose -4*f = l + 5 - 24, d = l + 5*f - 14. Does 10 divide l?
False
Suppose -5 = -5*t - 4*a + 7, 4*a = -2*t. Suppose t*l - l = 24. Is l a multiple of 5?
False
Let f be 10/2*3/5. Let q(h) = -h + 3. Let j be q(f). Let n(x) = -x + 10. Is n(j) a multiple of 6?
False
Let o(d) = 38*d**3 + 3*d**2 - d - 2. Let f be o(2). Suppose 0*x + f = 4*x. Is 18 a factor of x?
False
Suppose 3*y = 916 + 572. Is 62 a factor of y?
True
Let q = 32 - 1. Let g = -17 + q. Is g a multiple of 14?
True
Let b(z) = -2*z + 82. Is 41 a factor of b(0)?
True
Let x = -1 + 4. Let c = 6 - x. Let l = c - -9. Is 5 a factor of l?
False
Suppose -2*l - 42 = l. Does 16 divide 374/14 + l/(-49)?
False
Let r(j) = -j**2 - 8*j - 9. Let i be r(-7). Is 22 a factor of i*(-15)/12*26?
False
Suppose 0 = -2*z, -s + 0 - 8 = -3*z. Does 11 divide 12/16 - 170/s?
True
Let h(x) = -9*x - 20. Is 19 a factor of h(-10)?
False
Suppose -3 = -r - 5*o + 25, -2*r - 2*o = -24. Suppose -u + 2*u + 2*t + r = 0, 4 = 3*u - t. Suppose u = 6*m - m - 30. Does 3 divide m?
True
Is (4/(-3) - -2)*(45 + 3) a multiple of 6?
False
Suppose 2*i + 4 = -4*p, 2*p + 8 = -5*i + i. Suppose -5*v + 5*j = -0*j - 695, 2*j - 586 = -4*v. Suppose p = 5*w + 39 - v. Does 7 divide w?
True
Suppose 0 = 3*w - 5*w. Let t = w + 24. Suppose y - t = -0*y. Is y a multiple of 12?
True
Is 18 a factor of 37797/301 + (-1)/((-14)/6)?
True
Suppose 5*d - 5 = -4*q + 28, -5*d + 3*q = -19. Suppose 0 = -d*s + 22 + 3. Suppose 5*m - 12 = -4*o, -5*m + 33 - 3 = -s*o. Does 2 divide m?
True
Suppose 13*a = 8*a + 80. Does 16 divide a?
True
Let k = 32 - -2. Does 34 divide k?
True
Let u = -4 + 25. Is u a multiple of 2?
False
Let f(w) = 15*w**3 - 3*w**2 + 1. Is 4 a factor of f(1)?
False
Let v(o) = 24*o + 38. Does 49 divide v(5)?
False
Let p(k) = -k**3 + k**2 + k + 28. Is p(0) a multiple of 14?
True
Let t(y) = -10*y + 3. Let r(j) = 5*j**3 + 2*j**2 + 2*j + 1. Let l be r(-1). Is t(l) a multiple of 12?
False
Suppose 105 = 9*w - 4*w. Is w a multiple of 7?
True
Let r = -2 - -4. Suppose -5*k + 4*b = -15 - 100, -r*k + b = -49. Is k a multiple of 9?
True
Let b = -1 - -3. Suppose -5*l = -2*a - 14, -b*a = 6*l - 2*l - 22. Suppose k - l*k + 30 = 0. Is 4 a factor of k?
False
Let o = 8 + -6. Suppose -o*a + 18 = a. Does 2 divide a?
True
Suppose -3*j + 1 = -2*j, 3*t + 4*j = -284. Let f = t + 144. Suppose -f = -4*g + 12. Is 13 a factor of g?
False
Let z(d) be the first derivative of -d**3/3 + 3*d**2 - 6*d + 3. Let y be z(5). Does 16 divide 32 + y + (-1)/(-1)?
True
Suppose 3*x + 4*u = 14, -3*x + 8 = -2*x + 2*u. Is 13 a factor of (2 + -1)/(x/(-152))?
False
Let p(f) = -f**2 + 4*f - 4. Let t be p(6). Let w = 23 + t. Suppose -a = -w + 1. Is 6 a factor of a?
True
Suppose 0 = 5*k - 3*x + 2*x - 210, 162 = 4*k - 2*x. Does 5 divide k?
False
Let q(f) = -3 - 4*f**2 + 3*f - 4*f**3 + 4 + 5*f**3. Let b be q(3). Suppose -4*i + 57 = b. Does 7 divide i?
True
Suppose -31*f + 33*f - 254 = 0. Does 30 divide f?
False
Let w be ((-44)/(-12))/(2/6). Suppose 3*o + w = 71. Is 16 a factor of o?
False
Let h(v) = -54*v + 2. Does 4 divide h(-1)?
True
Let r(w) = w**3 - 2*w**2 + 2*w - 3. Let u be r(2). Is 22 + u + 2 + -5 a multiple of 13?
False
Let x = 5 + -1. Suppose -3*n + 6 = -f + 2, -5*n = -f - x. Suppose 6 = 2*a - n. Is 3 a factor of a?
True
Let w = 229 + -142. Does 6 divide w?
False
Let q(i) = i. Let k be q(4). Let t = -40 - -64. Suppose -48 = -k*x + t. Is x a multiple of 13?
False
Let v = -20 + 20. Suppose 53 = n + 4*w, -3*n + 3*w = -v*w - 84. Is 7 a factor of n?
False
Let f(b) = b**3 + 10*b**2 - 9*b + 12. Is 13 a factor of f(-5)?
True
Suppose 0 | {
"pile_set_name": "DM Mathematics"
} |
nvert 0.342908l to millilitres.
342.908
Convert 248.2994 litres to millilitres.
248299.4
How many seconds are there in 2/45 of a day?
3840
How many millimeters are there in 8.122132 centimeters?
81.22132
How many days are there in 266.437944 microseconds?
0.0000000030837725
How many centimeters are there in 41845.02 millimeters?
4184.502
Convert 206764.4 centuries to decades.
2067644
How many months are there in three tenths of a century?
360
How many seconds are there in one sixteenth of a day?
5400
What is 726054.8 years in centuries?
7260.548
How many millilitres are there in 3/10 of a litre?
300
Convert 0.2245442ug to tonnes.
0.0000000000002245442
How many days are there in 1232.02836 milliseconds?
0.0000142595875
Convert 617872.1cm to micrometers.
6178721000
How many kilograms are there in 0.2142966 milligrams?
0.0000002142966
What is 5.78613 years in decades?
0.578613
How many litres are there in 393.88 millilitres?
0.39388
What is 7/2 of a tonne in kilograms?
3500
Convert 11.80886km to meters.
11808.86
What is 6.18012l in millilitres?
6180.12
How many hours are there in 491567.2 days?
11797612.8
How many months are there in 92462.56 years?
1109550.72
How many decades are there in 3/5 of a century?
6
What is three fifths of a litre in millilitres?
600
How many millilitres are there in twenty-five halves of a litre?
12500
What is 11/10 of a milligram in micrograms?
1100
What is nineteen tenths of a gram in milligrams?
1900
How many nanometers are there in 589090.6um?
589090600
What is 7/4 of a litre in millilitres?
1750
What is 1.669865cm in nanometers?
16698650
How many years are there in 6/25 of a century?
24
What is one tenth of a day in minutes?
144
How many years are there in 8/25 of a millennium?
320
How many seconds are there in two fifteenths of a week?
80640
What is 6745.122ml in litres?
6.745122
How many millilitres are there in 2123.849 litres?
2123849
What is 6566.747nm in meters?
0.000006566747
How many minutes are there in seven thirds of a hour?
140
Convert 17105.58 months to years.
1425.465
What is 1.919642km in nanometers?
1919642000000
Convert 606.9339 milligrams to nanograms.
606933900
Convert 38.4457 weeks to seconds.
23251959.36
What is 234.3363 years in decades?
23.43363
How many decades are there in 13/4 of a millennium?
325
What is 9.630878nm in millimeters?
0.000009630878
Convert 907.284 millennia to years.
907284
Convert 455.6758l to millilitres.
455675.8
What is 6/25 of a litre in millilitres?
240
What is 45/2 of a decade in years?
225
What is eleven quarters of a centimeter in micrometers?
27500
What is five sixths of a day in seconds?
72000
What is 3/10 of a gram in milligrams?
300
What is 1/64 of a millimeter in nanometers?
15625
How many micrometers are there in 21/5 of a millimeter?
4200
Convert 7631.526 nanograms to tonnes.
0.000000000007631526
What is one quarter of a meter in millimeters?
250
How many months are there in five quarters of a year?
15
What is 260.818 millilitres in litres?
0.260818
Convert 24.57603ml to litres.
0.02457603
What is one twentieth of a microgram in nanograms?
50
What is 3/5 of a millennium in years?
600
How many tonnes are there in 6407.109 kilograms?
6.407109
How many decades are there in 2.882864 years?
0.2882864
How many seconds are there in twenty-eight thirds of a hour?
33600
What is seven halves of a kilogram in grams?
3500
How many years are there in twenty-nine fifths of a millennium?
5800
How many millilitres are there in 17/2 of a litre?
8500
How many months are there in 23/3 of a millennium?
92000
What is 0.4440423l in millilitres?
444.0423
Convert 4.070911um to meters.
0.000004070911
What is fourty-five halves of a microgram in nanograms?
22500
What is six fifths of a millennium in months?
14400
How many months are there in 6/5 of a decade?
144
What is 21/4 of a millisecond in microseconds?
5250
How many months are there in seven halves of a century?
4200
What is five sixths of a week in hours?
140
What is 3/40 of a gram in milligrams?
75
What is 11/2 of a century in decades?
55
How many decades are there in three fifths of a century?
6
What is 6.814283 nanometers in millimeters?
0.000006814283
How many litres are there in 6.595198 millilitres?
0.006595198
What is ninety-one quarters of a litre in millilitres?
22750
What is twenty-nine halves of a decade in years?
145
How many centuries are there in seven halves of a millennium?
35
How many hours are there in 11/4 of a day?
66
Convert 16282.17 kilograms to grams.
16282170
Convert 77185.3 kilometers to millimeters.
77185300000
Convert 17.5093218 microseconds to days.
0.0000000002026541875
How many seconds are there in 49/5 of a hour?
35280
Convert 0.8888251 decades to years.
8.888251
How many micrometers are there in 0.0711021km?
71102100
How many millilitres are there in 55/2 of a litre?
27500
How many decades are there in 1/10 of a millennium?
10
What is one twentieth of a second in milliseconds?
50
How many millimeters are there in 9660.94nm?
0.00966094
What is 21/4 of a tonne in kilograms?
5250
How many centuries are there in 82285.74 years?
822.8574
What is 723263.3 days in seconds?
62489949120
What is 93.03585 months in centuries?
0.077529875
How many months are there in seven thirds of a millennium?
28000
What is 7/4 of a kilogram in grams?
1750
What is 74.69154 kilograms in milligrams?
74691540
Convert 634.4501kg to grams.
634450.1
What is thirty-three fifths of a millisecond in microseconds?
6600
What is 6/5 of a decade in years?
12
How many millilitres are there in 21/2 of a litre?
10500
Convert 301.2936 litres to millilitres.
301293.6
How many kilometers are there in 89.43196 meters?
0.08943196
What is 11/8 of a centimeter in micrometers?
13750
What is 0.5850957 litres in millilitres?
585.0957
How many months are there in one twentieth of a millennium?
600
What is 6624.85 millilitres in litres?
6.62485
Convert 31.53896 decades to months.
3784.6752
How many decades are there in eighteen fifths of a century?
36
How many millimeters are there in 4.136753nm?
0.000004136753
Convert 250.2963 millennia to decades.
25029.63
How many centimeters are there in 32/5 of a meter?
640
Convert 819864.3 milligrams to kilograms.
0.8198643
How many kilograms are there in twenty-one eighths of a tonne?
2625
What is 13/8 of a micrometer in nanometers?
1625
What is fourty-seven quarters of a kilometer in meters?
11750
How many microseconds are there in 683.35 minutes?
41001000000
Convert 0.7765714ng to grams.
0.0000000007765714
Convert 0.6737949 days to hours.
16.1710776
Convert 442.4706g to tonnes.
0.0004424706
What is twenty-nine halves of a litre in millilitres?
14500
Convert 5.188756 kilograms to nanograms.
5188756000000
How many millimeters are there in fifteen quarters of a meter?
3750
How many meters are there in 13/4 of a kilometer?
3250
What is thirteen eighths of a litre in millilitres?
1625
What is five quarters of a micrometer in nanometers?
1250
How many kilograms are there in 89165.3 tonnes?
89165300
What is 1/10 of a milligram in nanograms?
100000
How many months are there in seven quarters of a decade?
210
What is 2.89431 years in months?
34.73172
Convert 660872.9 decades to years.
6608729
How many millilitres are there in seventeen halves of a litre?
8500
What is 6/25 of a litre in millilitres?
240
How many minutes are there in 1230.2166 microseconds?
0.00002050361
What is 18.2213ml in litres?
0.0182213
How many decades are there in three fifths of a millennium?
60
Convert 7.011877km to micrometers.
7011877000
What is 855500.6 nanoseconds in milliseconds?
0.8555006
What is 26/5 of a litre in millilitres?
5200
How many centimeters are there in 1/4 of a meter?
25
How many nanometers are there in 40.38307um?
40383.07
How many micrometers are there in 8872.147 meters?
8872147000
How many micrometers are there in 1/4 of a millimeter?
250
What is 4860.6 months in centuries?
4.0505
Convert 99.07459mg to grams.
0.09907459
How many kilograms are there in 7.382918t?
7382.918
What is 23/6 of a day in hours?
92
How many minutes are there in 548.7764 hours?
32926.584
How many millilitres are there in twenty-one fifths of a litre?
4200
What is 17/4 of a centimeter in micrometers?
42500
How many years are there in fifty- | {
"pile_set_name": "DM Mathematics"
} |
b - 3. Let o be i(20). Sort 1, o, 0 in increasing order.
o, 0, 1
Let y = -3 - 1. Let t(r) = -r - 3. Let v be t(y). Suppose 9*w = -7 - 2. Sort w, v, 5 in ascending order.
w, v, 5
Let v(k) = k**2 - 6*k - 6. Let q = 13 - 7. Let r be v(q). Let x(p) = -p - 7. Let m be x(r). Sort 2, -2/7, m in ascending order.
m, -2/7, 2
Suppose 4*w + w = 60. Sort -3, w, -2 in descending order.
w, -2, -3
Let a = -1.22 - -0.82. Let j = 0 - 0.2. Let u = j + -0.3. Sort a, u, 2/15 in decreasing order.
2/15, a, u
Let v = -5 + 4. Suppose -4*k = -k + 9. Sort k, v, 2 in descending order.
2, v, k
Let l = -0.2 - -0.7. Let b = -125/156 + 2/39. Sort b, -0.4, l in decreasing order.
l, -0.4, b
Let z be (2/24)/(25/40). Sort z, -5, 4 in descending order.
4, z, -5
Let x = 71 - 73. Put 2, -1, x in ascending order.
x, -1, 2
Suppose -r - 2*r - 6 = 0. Suppose -k = 4*k + 25. Let c be 3/k - (-12)/(-5). Sort 2, r, c.
c, r, 2
Suppose -o = 0, 5*x - 3*o = 8 - 3. Let k(t) = t + 6. Let d be k(0). Sort d, x, 2 in ascending order.
x, 2, d
Let m be (6/16)/1*6/9. Let r = -0.01 - 0.05. Let x = 0.36 + r. Sort 3, m, x in ascending order.
m, x, 3
Suppose 0 = 2*j - 2*w + 12, j + j + 26 = -5*w. Sort j, 1, 2.
j, 1, 2
Suppose -4*v = 4*z - 9*z - 1, 0 = 5*v + 2*z + 7. Put 2/19, 0.2, v in descending order.
0.2, 2/19, v
Suppose 0 = 2*v + 4*m + 10, 2*v - m - 2*m = 25. Suppose 2*c + 8 = -2*c. Let w be ((-6)/(-165))/(2/(-10)). Sort c, w, v in increasing order.
c, w, v
Let s be -2*3/6 + -19. Let c be 2/9 + s/(-90). Sort 2, -2/11, c.
-2/11, c, 2
Suppose -3*p + 15 = 4*w, -p - 4*w = -2*p + 5. Put 14, p, -1 in descending order.
14, p, -1
Let g = -19962 - -20080.97. Let w = -124 + g. Let s = w + 0.03. Put -1, 1, s in ascending order.
s, -1, 1
Suppose 0 = -5*k + 4*k + 4. Suppose 28 = 3*l + 4. Let j be ((-5)/k)/((-2)/l). Put 0, -2, j in ascending order.
-2, 0, j
Let l(w) = -5*w + 2. Let y be l(-3). Let v = y - 16. Sort -4, v, -5.
-5, -4, v
Let n = -6.87 - -0.57. Let h = n - -1.3. Put h, 3/5, -3 in descending order.
3/5, -3, h
Let g = 3.7 - -0.3. Let v = -7.3 + 7. Put v, g, -1/5 in decreasing order.
g, -1/5, v
Let u = -5.3 + 5. Put u, 6, 0.3 in increasing order.
u, 0.3, 6
Let w be -1*(0 + 2)/(-6). Let p be (-2 - 0) + 39/15. Suppose 5*o = -m - 13, o + 4*m = -m + 7. Put o, p, w in decreasing order.
p, w, o
Let q = -8 - -4. Let b = q - -7. Let m = -1 + b. Put m, 4, 5 in descending order.
5, 4, m
Let s = -7 - -5. Let w be (4 + -3)/(8/s). Put w, 5, 3/4 in descending order.
5, 3/4, w
Suppose -5*y = -10*y - 50. Put y, -3, 0 in descending order.
0, -3, y
Let y = 97.9 + -98. Sort -1/4, -2, 1, y in decreasing order.
1, y, -1/4, -2
Suppose 10 = 5*n, -2*j + 4*n - 2 - 10 = 0. Let s(p) = p**3 - 8*p**2 - 1. Let o be s(8). Sort j, -4, o.
-4, j, o
Suppose u - 14 = -3*d, -3*d + 3 = 2*u - 2*d. Let w be u/(4 - 3)*3. Sort 4, 8, w.
w, 4, 8
Let g = -12 - -13. Put 0, g, 4 in increasing order.
0, g, 4
Let k(b) = -3*b**2 - 5*b + 2. Let m be k(-2). Let v = 4/23 - -15/46. Put -3/4, v, m in increasing order.
-3/4, m, v
Let o = 1.96 - -0.04. Let w = o + -4. Let i = 0 - w. Put -2, 0.3, i in decreasing order.
i, 0.3, -2
Let z = 31 + -29.3. Let y = z + -1.9. Sort 2, y, 1/7.
y, 1/7, 2
Let a(v) = -v**2 + 8*v - 4. Let t be a(7). Let w(o) = 13*o - 18. Let x(k) = 7*k - 9. Let z(d) = 6*w(d) - 11*x(d). Let j be z(9). Sort t, 4, j.
j, t, 4
Suppose 2*s = 3*s - 3*x - 16, 5*x + 40 = 5*s. Let o = 1 + s. Suppose 3*k = -14 + o. Sort -0.2, k, -1 in decreasing order.
-0.2, -1, k
Suppose 0 = -m - 0*m - 2*k - 4, 2*k + 4 = 2*m. Suppose -4*s + m = 4. Put 2, s, -5 in decreasing order.
2, s, -5
Let a(x) = -x - 31. Let d be a(-22). Put d, -2, 2, 0 in increasing order.
d, -2, 0, 2
Suppose -1 = 2*b + 7. Let y = 2.46 - 0.26. Let l = y - 0.2. Sort b, 1, l in descending order.
l, 1, b
Let w = 0.3 + -1.3. Let y = 107 - 72. Let k = y + -31. Put 3, w, k in decreasing order.
k, 3, w
Let i(t) = -t**2 - 4*t + 4. Let h be i(-5). Put h, 5, 0.3, 4 in descending order.
5, 4, 0.3, h
Suppose 4*y - 19 = 1. Suppose b = y*h + 2 + 1, -31 = 3*b + 5*h. Let j(l) = -l**2 - 6*l + 5. Let w be j(b). Put w, 0.1, 0.3 in increasing order.
w, 0.1, 0.3
Let i(w) = 2*w**2 + 5*w + 11 - 4*w**2 + 5*w + 3*w**2. Let v be i(-8). Sort 5, v, -1.
v, -1, 5
Let g = -0.11 + 4.11. Let x = 2 - 5. Put x, 0, g in increasing order.
x, 0, g
Let c(r) = -r**3 - r**2 - r - 4. Let f be c(0). Let q = 1 - f. Let t be (6/q)/((-3)/10). Sort 3, -2, t in decreasing order.
3, -2, t
Suppose -14 = 4*y + 6. Put -24, -3, y in ascending order.
-24, y, -3
Let n = -82 - -86. Sort -2, n, 5.
-2, n, 5
Let n = 30 + -44. Sort -1/9, 1/8, -1/3, n in increasing order.
n, -1/3, -1/9, 1/8
Let b(c) = -6*c**2 + 3 + c**3 - c - c**2 + 7. Suppose 5*w - 3*p - 41 = 0, 3*p - 8 = -2*w - 0. Let m be b(w). Sort 0, 5, m in descending order.
5, m, 0
Let z = -20.2 - -20. Sort 3/5, z, -1/6 in increasing order.
z, -1/6, 3/5
Let z = -13.2 + 5. Let l = z + 8. Sort -5, l, 3 in descending order.
3, l, -5
Let z = -157 - -158. Let o = -4 - -7. Sort z, 5, o in descending order.
5, o, z
Let o(q) = q**3 + 12*q**2 + q + 14. Suppose 2*f - 24 = 4*f. Let r be o(f). Let t be 12/(-20)*(-1 + -4). Put 5, r, t in increasing order.
r, t, 5
Suppose d - 8 = -3*d. Suppose 4 = -p + 7. Suppose -3*b - 5*n + p = 23, -n = 1. Put d, b, 1 in descending order.
d, 1, b
Let q = -12/7 + 17/14. Let x be 6/9*(-3)/5. Sort -0.2, q, x in increasing order.
q, x, -0.2
Let s = 0.524 - 0.124. Sort -0.5, 2, s, -0.2.
-0.5, -0.2, s, 2
Let y(s) = s - 10. Let d be y(11). Suppose 10 + 2 = -4*z. Sort d, 2, z in decreasing order.
2, d, z
Let m be (-3)/(-1 - (-2)/5). Put 3, m, 0, 1 in increasing order.
0, 1, 3, m
Let l(g) = -2 + 4 + 0*g + 5*g + g**2. Let v be l(-2). Let h = -3 - -4. Sort h, -5, v in increasing order.
-5, v, h
Let m be 3/(3/(-4)) + (-4 - -3). Sort 4, -3, m in decreasing order.
4, -3, m
Let t = 36 - 182/5. Sort t, 6, 0.3 in increasing order.
t, 0.3, 6
Let s = -39 - -21. Let t = -17.9 - s. Let a = 54 - 323/6. Sort a, -2/9, t.
-2/9, t, a
Suppose 3*u - 8 = 7*u. Sort 7, u, 1 in ascending order.
u, 1, 7
Let j = -1 - -2. Let z(o) = -o - 4. Let b be z(-2). Let y be (b*1/8)/j. Sort 0, y, 0.1 in decreasing order.
0.1, 0, y
Let z = 89 - 88.7. Put z, 0.2, 3, -1/3 in descending order.
3, z, 0.2, -1/3
Suppose -3*f + 5*c = 358, 5*f + 6*c - 2*c + 609 = 0. Let i = f + 969/8. Sort -1, i, -1/4.
-1, -1/4, i
Let p be (-3)/2 - 3/(-6). Let c = 3 + p. Put 1, c, 0.3 in increasing order.
0.3, 1, c
Let b = 2.9 + -3.2. Let h(c) = -c**2 + 7*c - 4. Let o be h(5). Sort 0.4, o, b in decreasing order.
o, 0.4, b
Let k = 33 + -37. Put -2, k, -3 in increasing order.
k, -3, -2
Let g be (-1)/(-2) + (-21)/6. Let u be -11 - (1 - 0)/1. Let p be u/4*(-3)/9. Put p, 5, g in descending order.
5, p, g
Let g = -12.3 + 12. Put -0.4, 1/3, g in descending order.
1/3, g, -0.4
Suppose 0 = -3*z + 5*z - 6. Let p = -2 - z. Let t = -1 - -1. Sort 3, t, p in decreasing order.
3, t, p
Let t(d) = d**2 + 5*d - 1. Let x(n) = -n + 2. Let y be x(7). Let r be t(y). Put r, 5, 1 in descending order.
5, 1, r
Let x(c) = c**3 + 7*c**2 + c + 3. Let w be x(-7). Sort -5, -3, w.
-5, w, -3
Let f = -55 - -100. Suppose 4*o - f + 1 = -4*y, -5*y = 3*o - 41. Let n be ((-4)/7)/((-10)/o). Put 0.2, n, 1/8 in increasing order.
1/8, 0.2, n
Let z = 31 + -33. Let w = 0 + 0. Put w, 1, z in descending order.
1, w, z
Suppose 0 = -2*g - 22 - 108. Put g, -2, 0.2 in ascending order.
g, -2, 0.2
Suppose 0*u - 3*u = 0. Let d = -4 + 6. Suppose w = 5*t - 0 + 5, -d*t + 11 = -3*w. Sort -1, t, u in descending order.
u, -1, t
Let n = 6.012 + -0.012. Sort n, 4, -0.1.
-0.1, 4, n
Let s = 0.057 - -1.943. Let x = -5 - -3.1. Let v = s + x. Sort v, -4, 3.
-4, v, 3
Let p = 20 + -18. Suppose -4*z - 4 = -p*z. Sort 4, z, -3.
-3, z, 4
Suppose 3*m = 6*m - 15. Put -3, m, -4 in ascending order.
-4, -3, m
Let b be 11/2 - 1/2. Let k be ((-3)/(b - 2))/8. Sort k, -3/5, -5 in increasing order.
-5, -3/5, k
Let j = 0 - 4. Let q be (-18)/14 + j/(-14). Let f be (-1)/3 + 42/(-9). Put q, 1, f in descending order.
1, q, f
Suppose 5*w + 8 = -7. Let j be (w - (3 + -8))/(-2). Sort j, -2, 5 in decreasing order.
5, j, -2
Let t = 4 + 8. Put 5, t, -5 in increasing order.
-5, 5, t
Suppose -2*k = 36 - 38. Sort -2, k, -5, 5 in ascending order.
-5, -2, k, 5
Suppose 5*n + 0*n = 115. Suppose -4*a - n = -3. Let o be (-1)/(((-2)/2)/(-4)). Put | {
"pile_set_name": "DM Mathematics"
} |
s*h + 27*h**5 + 18*h**3 + 26*h**2 = 0.
-1/4, 0, 1, 2
Let s(p) be the second derivative of -p**6/30 + p**4/6 - p**2/2 - 17*p. Let s(t) = 0. What is t?
-1, 1
Suppose 0 = -4*d + 3*f - 7, -21 = -0*d + 2*d - 5*f. Factor 2/7*s**d + 2/7*s + 0.
2*s*(s + 1)/7
Let b(v) = v**2 + 10*v + 13. Let h be b(-9). Suppose m = -h*y + 17, -y - y - 5 = 5*m. Solve -2/3 - 2/3*w**4 - 2/3*w**y - 2/3*w + 4/3*w**2 + 4/3*w**3 = 0.
-1, 1
Let x(z) = 2*z**3 - z**4 + 25 - 3*z**2 + 2*z + 2*z - 21 + 6*z**4. Let b(p) = -p**4 - p**3 + p**2 - p - 1. Let q(v) = 4*b(v) + x(v). Factor q(m).
m**2*(m - 1)**2
Let -12/7*b**2 - 8/7 + 18/7*b + 2/7*b**3 = 0. What is b?
1, 4
Let r(y) be the first derivative of y**4 + 8*y**3/3 - 2. Factor r(f).
4*f**2*(f + 2)
Let b(o) be the second derivative of -3*o**5/4 + 25*o**4/12 - 5*o**3/6 - 5*o**2/2 - o - 21. Determine u, given that b(u) = 0.
-1/3, 1
Suppose l + 5 - 7 = 0. Let f(w) be the second derivative of 0 - 1/48*w**4 - 1/4*w**2 - 1/8*w**3 + l*w. Factor f(r).
-(r + 1)*(r + 2)/4
Find a, given that -15*a**3 - 12*a**2 + 13*a**3 - a + 4*a**4 - a + 4 = 0.
-1, 1/2, 2
Factor 1/8*h**4 - 5/8*h**3 - 1/2 + 5/8*h + 3/8*h**2.
(h - 4)*(h - 1)**2*(h + 1)/8
Let a be (70/(-105))/((-4)/9). Factor 3/2*r**2 - a + 3/2*r**3 - 3/2*r.
3*(r - 1)*(r + 1)**2/2
Let y(q) be the third derivative of q**7/525 - 11*q**6/1200 + 3*q**5/200 - q**4/240 - q**3/60 - 12*q**2. Factor y(x).
(x - 1)**3*(4*x + 1)/10
Find z such that -2/5*z**4 - 18/5*z + 0 - 6*z**2 - 14/5*z**3 = 0.
-3, -1, 0
Let p(k) = k + 21. Let d be p(-19). Factor 0 + 0*n**3 + n - 3/2*n**d + 1/2*n**4.
n*(n - 1)**2*(n + 2)/2
Let u(l) be the third derivative of l**7/210 - l**6/120 - l**5/60 + l**4/24 + 25*l**2 + 2*l. Factor u(k).
k*(k - 1)**2*(k + 1)
Suppose -3 = -b, 4*z + 3*b - 57 = -0*z. Solve z*o**2 - 1 - o - 11*o**2 + 1 = 0 for o.
0, 1
Suppose 13*o - 11*o = 4. Let v(d) be the third derivative of -1/840*d**7 - 1/240*d**5 + 0*d**4 + 0 + 0*d**3 - 1/240*d**6 + 0*d - d**o. Factor v(u).
-u**2*(u + 1)**2/4
Factor 3/2 + 3/4*g**3 + 1/4*g**4 - 3/4*g**2 - 7/4*g.
(g - 1)**2*(g + 2)*(g + 3)/4
Let k(x) be the second derivative of -x**5/100 - x**4/12 - x**3/5 + 16*x - 1. Let k(w) = 0. Calculate w.
-3, -2, 0
Let h(y) be the first derivative of 1/6*y**3 - 3/8*y**4 - y + 5 + 3/4*y**2 + 1/10*y**5. Suppose h(f) = 0. Calculate f.
-1, 1, 2
Let b = 1 + 1. Factor 3*z**4 + 4*z**3 + 2*z + 2*z + 5*z**3 - z + 9*z**b.
3*z*(z + 1)**3
Let i be ((-45)/(-10) - 3) + -1. Let p(d) be the second derivative of d - 1/2*d**2 + 0 + i*d**3 - 1/6*d**4. Factor p(c).
-(c - 1)*(2*c - 1)
Let w(f) be the second derivative of -f**5/110 + f**4/66 + 2*f**3/33 + f. Find r, given that w(r) = 0.
-1, 0, 2
Let k be (2/(-1))/((-2)/4). Suppose -7*f + 22 = -3*f - 5*z, 5*f = -k*z + 7. What is c in -f*c**2 + 2 + 3*c**2 - 2*c**2 = 0?
-1, 1
Let i(s) be the third derivative of -7*s**6/60 + 3*s**5/10 - s**4/6 - 6*s**2. Factor i(g).
-2*g*(g - 1)*(7*g - 2)
Let i(w) be the third derivative of w**7/525 + w**6/100 + w**5/75 + 6*w**2. Factor i(g).
2*g**2*(g + 1)*(g + 2)/5
Let o(i) be the first derivative of -2 + 1/2*i**4 + 0*i**2 + 0*i + 2/5*i**5 - 2/3*i**3 - 1/3*i**6. Factor o(q).
-2*q**2*(q - 1)**2*(q + 1)
Let u = 13 + -23. Let z = -17/2 - u. Factor 3/2*l**2 + 3*l + z.
3*(l + 1)**2/2
Let w(j) be the third derivative of -j**7/1960 - j**6/840 + j**5/70 + j**4/14 - j**3/2 - 5*j**2. Let n(t) be the first derivative of w(t). Factor n(i).
-3*(i - 2)*(i + 1)*(i + 2)/7
Let w(y) be the first derivative of y**4/4 - y**3/3 + 22. Factor w(o).
o**2*(o - 1)
Factor -3*r**2 - 4*r**3 - 7*r**3 + 9*r**3 + 6*r**2 - r**4.
-r**2*(r - 1)*(r + 3)
Suppose y + 0*y = 2. Let s be ((1 - 1)/y)/(-2). Factor -2/7*m**2 + 4/7*m**3 - 2/7*m**4 + 0 + s*m.
-2*m**2*(m - 1)**2/7
Suppose 4*m - 9 - 3 = 0. Let n = m - 0. Factor 4 + 0*t + 3*t - 15*t**n + 14*t**2 - 6.
-(t - 1)*(3*t - 1)*(5*t + 2)
Suppose 2/5*t + 0 - 1/5*t**2 = 0. Calculate t.
0, 2
Let f(n) be the second derivative of 0*n**6 + 0*n**2 + 0 + 0*n**3 - 2/105*n**7 - 6*n + 1/25*n**5 + 0*n**4. Factor f(m).
-4*m**3*(m - 1)*(m + 1)/5
Let t(r) be the second derivative of r**6/90 + r**5/30 - 5*r**3/6 + 6*r. Let y(z) be the second derivative of t(z). Determine b so that y(b) = 0.
-1, 0
Suppose -7*n + 75 = -2*n. Let y be (-8)/(-20) + 39/n. Find s such that -s**3 + 3*s**y - 3*s**2 - 5*s**3 = 0.
-1, 0
Let x(c) be the first derivative of -c**6/200 - 3*c**5/100 - c**4/20 + c**2/2 - 6. Let g(u) be the second derivative of x(u). Suppose g(h) = 0. Calculate h.
-2, -1, 0
Let q be ((-5)/(-2))/((-355)/(-284)). Solve 6/11*n**q - 2/11*n**3 + 2/11 - 6/11*n = 0 for n.
1
Let o(h) be the third derivative of h**5/540 - h**4/108 + h**3/54 + 8*h**2. Find v such that o(v) = 0.
1
Let y = -4178/11 + 380. Factor 4/11*u**2 + y*u**3 + 0 + 2/11*u.
2*u*(u + 1)**2/11
Let s(z) be the first derivative of 1/2*z**2 - 2*z + 1/24*z**4 + 1/4*z**3 - 1. Let a(k) be the first derivative of s(k). Factor a(x).
(x + 1)*(x + 2)/2
Let o(j) be the second derivative of j**6/360 - j**5/40 - 4*j**3/3 - 3*j. Let d(x) be the second derivative of o(x). Factor d(i).
i*(i - 3)
Suppose 0 = -38*p + 165 + 25. Factor -3/2*t**3 - 1/4*t - t**4 - 1/4*t**p - t**2 + 0.
-t*(t + 1)**4/4
Let g(o) be the third derivative of -1/15*o**6 + 0 - 2/15*o**3 - 1/6*o**4 + 0*o - 1/420*o**8 - 2/105*o**7 - 2/15*o**5 - 2*o**2. Factor g(c).
-4*(c + 1)**5/5
Let j = -321 + 327. Solve 6 + 3/2*i**2 - j*i = 0.
2
Suppose 0 = -p - 4 - 3. Let j(g) = g**3 - 8*g**2 + g - 6. Let o be j(8). Let y(z) = -z**2 + 2. Let f(u) = -3*u**2 + 7. Let b(d) = o*f(d) + p*y(d). Factor b(w).
w**2
Let o(x) = -9*x**2 - x - 1. Let a(p) = -p**2 + p - 1. Let m(h) = 5*a(h) - o(h). Factor m(l).
2*(l + 2)*(2*l - 1)
Let r(o) be the first derivative of 1/2*o**2 - 2 + 0*o + 3/8*o**4 + 5/6*o**3. Factor r(d).
d*(d + 1)*(3*d + 2)/2
Let t be 76/28 - 4/(-14). Suppose 0 = -y + t*y. Solve y*n - 1/3*n**3 + 0*n**2 + 0 = 0.
0
Let -2/5*n**2 + 0 + 6/5*n = 0. What is n?
0, 3
Suppose 8*z**2 - 39*z - 6*z + 16 + 9*z = 0. Calculate z.
1/2, 4
Let n(o) be the third derivative of o**6/120 + 2*o**5/15 - 3*o**4/8 + o**3/2 - 3*o**2. Let s be n(-9). Let 0 + 0*g**2 - 1/2*g + 1/2*g**s = 0. Calculate g.
-1, 0, 1
Let d = 0 - -3. Find n such that 4*n**5 - 7*n**3 - 4*n**4 - 3*n**5 + 3*n**d - 2*n**5 = 0.
-2, 0
Let o(c) = c. Let s(q) = -q**3 - q**2 + 4*q + 1. Suppose 5*x + 3*v = -21 - 1, 2*x + 5*v + 24 = 0. Let k(j) = x*s(j) + 6*o(j). Suppose k(z) = 0. Calculate z.
-1, 1
Let d be 4/10 + 18/5. Factor -y + y**2 + d - 4.
y*(y - 1)
Let d(m) be the third derivative of 0 + 1/75*m**5 + 1/300*m**6 + 0*m - 2/15*m**3 - 1/60*m**4 + 4*m**2. Determine i, given that d(i) = 0.
-2, -1, 1
Determine o so that 0*o - 32/7*o**3 - 4/7*o**4 - 64/7*o**2 + 0 = 0.
-4, 0
Let t(p) be the second derivative of p**4/6 - 7*p**3/3 + 10*p**2 - 33*p. Factor t(r).
2*(r - 5)*(r - 2)
Suppose 3*c = 7*c - 8. Solve 15 - 6*s + 16 - c*s**2 - 35 = 0.
-2, -1
Let w be -2*(-2)/20 - 25/125. Solve w - 2/7*y**2 + 0*y = 0 for y.
0
Let k = -4 - -9. Suppose u - 15 = -3*o, 18 = k*o - 2. Suppose 0*y**2 + 3*y**3 - 4*y**u - 3*y - 1 - 3*y**2 = 0. Calculate y.
-1
Let 26*k**3 + 7*k - 35*k - 9*k**2 - 8*k - 11*k**3 - 12 = 0. Calculate k.
-1, -2/5, 2
Let f(j) = -j**2 + 1. Suppose -3*q + 2*q - 1 = 0. Let h(x) = -2*x**2 + x + 1. Let s(n) = q*f(n) + h(n). Determine o, given that s(o) = 0.
0, 1
Let s be (55/(-22))/((-2)/16). Let y be (-3)/(s/(-8) - -1). Find r such that -2/5*r**3 - 4/5*r**y + 0 - 2/5*r = 0.
-1, 0
Let b(k) be the second derivative of k**4/3 + 20*k**3/3 + 50*k**2 + 20*k. Let b(w) = 0. What is w?
-5
Factor -a**2 + 5*a - 26*a - 12 + 14*a.
-(a + 3)*(a + 4)
Let z = -27 - -82/3. Let f(n) be the first derivative of 1/9*n**3 + 1 - z*n**2 + 0*n. What is x in f(x) = 0?
0, 2
Let z(f) be the second derivative of -f**7/280 - f**6/120 - f**3/3 + 6*f. Let h(n) be the second derivative of z(n). Determine o, given that h(o) = 0.
-1, 0
What is k in k**2 - 6 - 13*k + 0*k**2 - k**2 + 5*k**2 = 0?
-2/5, 3
Let w(x) = -x**2 + 5*x + 2. Let q be w(5). Factor 2*c**2 - 2*c**2 + c**q - 1.
(c - 1)*(c + 1)
Suppose 0 = 5*d + 15, 5*q + 162 = 5*d - 203. Let f = q - -230/3. Factor -2/3*l**3 + 2/3*l**2 + 0 + f*l - 2/3*l**4.
-2*l*(l - 1)*(l + 1)**2/3
Let v(f) = f**2 + 6*f + 10. Let c be v(-5). Factor 4*o**3 - o**3 - o**3 + 0*o**5 - o - o**c.
-o*(o - 1)**2*(o + 1)**2
Factor -s**2 - 13*s**3 - 3*s**2 + 6*s**2. | {
"pile_set_name": "DM Mathematics"
} |
Let w(a) = 4*t(a) + x(a). Determine w(-3).
23
Let x(l) = -138*l + 290*l - 155*l - 36. Give x(-13).
3
Let x(n) = 4*n**2 - 7*n + 2. Let o(c) be the first derivative of -2*c**3/3 + 2*c**2 - c - 11. Let m(k) = 7*o(k) + 4*x(k). Determine m(-1).
3
Suppose 14*g - 9*g - 20 = z, 3 = -3*g. Let q(r) = r**2 + 24*r - 20. Determine q(z).
5
Let m(u) = 11*u**3 - 14*u**2 - 9*u + 7. Let y(j) = -8*j**3 + 8*j**2 + 5*j - 4. Let t(l) = 4*m(l) + 7*y(l). Give t(1).
-13
Let a(y) = 737 + 708 - 1439 + y**2 + 4*y. Suppose 2*l - 5*g + 10*g = 17, -l + 2*g - 14 = 0. Give a(l).
6
Let k be 3 + (3/1)/(-3). Suppose -k = -2*a + 2. Let h(s) = s**3 - 4*s + 4*s**2 - 4*s**2 - 5*s**a - 4. Give h(6).
8
Suppose -3*v + 2 = -k, -3*v + 2*k + 6 = -k. Let y be (1 + 2 + v)/(-1 - -2). Let n(s) = -s**2 - 2 + 2*s + 0*s + s. Determine n(y).
-2
Let f(q) be the first derivative of -q**5/120 - q**4/3 + 20*q**3/3 - 6. Let g(m) be the third derivative of f(m). Determine g(-4).
-4
Let r(d) = -d**3 + 6*d**2 - 4*d + 11. Suppose 4*j = -3*w + 3*j + 10, -w + 5*j + 30 = 0. Determine r(w).
16
Let s(q) be the third derivative of -q**6/60 - q**5/5 - q**4/8 - 8*q**3/3 + 707*q**2. What is s(-6)?
2
Let o(y) be the third derivative of y**7/2520 - y**6/720 + y**5/30 + 2*y**2. Let x(k) be the third derivative of o(k). Let b = 89 - 92. Calculate x(b).
-7
Let g be (-1 - 0)/(4/8). Let a = g - -4. Let m(v) = 6 - a*v**2 + 7*v**2 - v**3 + 0 - 4*v**2. Give m(0).
6
Let r(a) = -a + 3. Suppose 4*m + 4*c = 19 - 63, -c + 22 = -2*m. Let u be (-52)/6 + 2/3. Let n = u - m. What is r(n)?
0
Let l(g) = 3*g**2 - 71*g + 44. Let u be l(23). Let x(i) = 6*i + 2. Give x(u).
-10
Let z = -7 - -42. Let w(k) = -59*k + z*k + 30*k. What is w(2)?
12
Let q(d) = -103*d**2 - 2 - d - 96*d**2 + 200*d**2. Let f(o) = -o**3 - 8*o**2 + 3*o + 20. Let k be f(-8). What is q(k)?
18
Let a = 863 - 858. Let g(j) = -j. Let k(o) = 5*o + 1. Let i(z) = 4*g(z) + k(z). Calculate i(a).
6
Suppose 2 = -3*g - 22. Let w(z) = -7*z**2 + 25*z + 11. Let l(s) = -3*s**2 + 12*s + 5. Let x(d) = -9*l(d) + 4*w(d). What is x(g)?
-1
Let p(s) be the third derivative of -s**4/6 + s**3/6 + 3*s**2 - 15. Determine p(4).
-15
Suppose -2*o = -o. Suppose 0 = -o*i + 2*i. Let t(d) = d - 1. Let m(s) = -2*s + 1. Let w(g) = -4*m(g) - 9*t(g). Determine w(i).
5
Let w be (-1 - (17 - -4))*5/(-2). Let c(l) = -l**3 + 23 - 6*l**2 - w - 7*l + 2*l**3 + 29. Suppose -2*d = -6*d + 28. Calculate c(d).
-3
Let j = -746 - -742. Let s(f) = f**2 - 7. What is s(j)?
9
Let t = -5 + 4. Let l(z) = 728*z - 369*z - 357*z - 9*z**2 + 1. Calculate l(t).
-10
Let n(c) = -4*c**2 - c - 2. Suppose 0 = -2*k - 2*u + 4 - 2, -3 = -3*k + 3*u. Let r be 30/16 - k/(-8). Give n(r).
-20
Let y(d) be the first derivative of -4*d**2 - 3*d - 137. Give y(-2).
13
Let x(f) = -f. Let v be (6 + -4 - 2) + 2. Let u(d) = d**3 + 9*d**2 + 8*d - 2. Let g be u(-8). Let a = g + v. What is x(a)?
0
Let c(j) = -3*j**3 - j**2. Suppose -w = -4*y + 15, -5*w = -4*y - 0*y + 11. Calculate c(w).
-4
Let o(n) = -n - 1. Let g = 16 + -11. Suppose -g*h + 12 = s - 10*h, -12 = -s - 5*h. Let k be (-1)/4 + (-9)/s. What is o(k)?
0
Let s(t) = -t + 8. Let w be s(6). Let b(h) = -w*h**2 - 3*h + 4*h**2 + 6*h. Let v be 1/((-2)/12*2). Determine b(v).
9
Let n be ((-2)/(-4))/(1/(-10)). Let x(u) = -21*u - 1 - 16 + 6 - 20*u + 40*u. Give x(n).
-6
Suppose 10 = 5*v, 55*v + 1 = d + 52*v. Let i(s) = -s - 19. Determine i(d).
-26
Let r be ((-126)/27 - -2)*9/(-2). Let h(l) = 4*l - 47. Calculate h(r).
1
Let y(g) be the second derivative of 3/2*g**3 + 9/2*g**2 + 0 + 28*g + 1/12*g**4. Suppose 3*w + 12 = w. Give y(w).
-9
Let s(v) be the first derivative of 3 + 3*v**2 - 6*v - 1/3*v**3. What is s(5)?
-1
Let z(t) = 37*t - 149. Let u be z(4). Let n(l) = -10*l**3 - 2*l**2 - l. Determine n(u).
9
Let u = 489 - 494. Let h(w) = 2*w - 7. What is h(u)?
-17
Let l(a) = -a**3 + 8*a**2 + 10*a - 12. Suppose b + 0*b - c - 7 = 0, -10 = 5*c. Suppose 28 = -4*m - 5*x + 79, b*x - 33 = -2*m. What is l(m)?
-3
Let c(l) be the second derivative of 0*l**3 + 1/4*l**4 + 5*l + 0 + 0*l**2 - 1/20*l**5 + 1/720*l**6. Let b(g) be the third derivative of c(g). Determine b(3).
-3
Suppose 20*j - 8*j - 72 = 0. Let d(m) = -7*m**2 + 7*m. Let s(a) = -20*a**2 + 21*a - 1. Let g(h) = -17*d(h) + 6*s(h). Give g(j).
0
Let t(j) = j**3 + 5*j**2 + 2. Let a be t(-5). Let m(g) = 7 - 7 + 2*g - 4 + 3 + 4*g**a. Let d = -17 - -18. Give m(d).
5
Suppose -2*b - 25 = 49. Let p = b - -43. Let o(r) = -3*r**2 + 6*r**2 - 8*r - 2*r**2 + 8. Determine o(p).
-4
Suppose i = -5*i + 24. Let b be 5 - (-4)/(-2 - 2). Let d(k) = b*k**2 - 4*k**3 + 5*k**3 - 2*k**3 - 4 + k. Give d(i).
0
Let m(j) = -4*j + 141 - 278 - j + j**2 + 135. Determine m(5).
-2
Let y(t) be the second derivative of 11*t**5/20 - t**4/12 - t**3/6 - t**2/2 - 2*t. Suppose -z = 19 - 18. What is y(z)?
-12
Let r(w) = -w**2 - 3*w + 5. Let t be -10 + 6 - (0 - 6). Suppose j - t*j = 4. Determine r(j).
1
Suppose 2*z = 15*z - 65. Let i(a) = a - 3. Calculate i(z).
2
Let n(z) = 11*z**2 - 3*z + 4 + 0*z - 4*z + 0*z. Let a(d) = -5*d**2 + 3*d - 2. Let m(c) = -9*a(c) - 4*n(c). What is m(-2)?
4
Let o(b) = 2*b + 6*b**2 + 13*b**3 - 9 + b**3 - 15*b**3. Calculate o(6).
3
Let m(y) = y**2 + 9*y + 5. Suppose 0 = -7*d - 14 + 7. Let b be (-2 - d)/(11/66). Give m(b).
-13
Let l(t) = t - 2. Let o be l(1). Let q be (-9)/((-4 - o)/9). Suppose -q = -5*p - 2. Let v(u) = u**3 - 4*u**2 - 3*u - 5. Give v(p).
5
Suppose -2*h = -3*h + 2. Suppose -2*f - 2*w = 3*w - 12, -h*f = -w. Let t(r) = r**2 + 1 + 10*r**2 + 25*r - 26*r. What is t(f)?
11
Suppose -2*d = -1 - 13. Let v = -13 + 18. Let r(f) = 4*f - 16. Let s(g) = -6*g + 24. Let q(a) = d*r(a) + v*s(a). What is q(6)?
-4
Let m be (-17)/(-4) - 1/4. Suppose 0 = 4*s - 3*s - 4*j - 1, -19 = -m*s + j. Let i(h) = s*h + 8*h - 14*h + 7. Determine i(5).
2
Let r(s) = 7*s - 1. Let o = 26 - 15. Suppose -2*c = o - 9. Calculate r(c).
-8
Suppose -4*a = 3*g - 15, 7*g - 3 = -3*a + 2*g. Let y(o) = 4*o**2 - 3*o + 6. Let i(k) = -k**2 - k - 1. Let m(d) = -3*i(d) - y(d). Calculate m(a).
-3
Let g(w) be the third derivative of -w**4/6 + 2*w**3/3 - 64*w**2 + 1. What is g(-8)?
36
Let v(x) be the first derivative of -2*x**2 - x + 4. Give v(1).
-5
Let k(b) be the first derivative of -b**2/2 + 9*b - 4. Let u be k(0). Suppose 3*f + 30 = u. Let c(d) = -d**3 - 7*d**2 - d - 10. Calculate c(f).
-3
Let b(n) be the third derivative of n**6/120 + n**5/60 - 5*n**4/24 + n**3/2 - 110*n**2 - 1. Give b(-4).
-25
Let p = 280 + -291. Let v(j) = -j**2 - 11*j - 10. What is v(p)?
-10
Let l(b) = b**3 - b**2 + b + 2. Let d(c) = c**3 - c - 1. Let v(t) = -t**3 - 6*t**2 + 4*t - 8. Let z(y) = -2*d(y) - v(y). Let f be z(6). What is l(f)?
-12
Let n(q) = -3 - 1862*q**2 + 4*q + 1861*q**2 + 3*q + 2*q. Calculate n(8).
5
Let v(y) be the second derivative of 2*y**3/3 + 7*y**2 - 26*y - 3. Let p(d) = -3*d - 13. Let h = 11 + -17. Let b(x) = h*p(x) - 5*v(x). Calculate b(6).
-4
Suppose 2*v - 20 = -10. Let a(w) = -8*w**2 - 16*w**2 + 25*w**2 - 7*w + 5 + 0. Give a(v).
-5
Let o be (0 + 1)*1 + 6. Let y(k) = -7*k**2 + 50*k + 2. Let w(p) = 3*p**2 - 22*p - 1. Let i(l) = -5*w(l) - 2*y(l). Give i(o).
22
Let h(k) = k**3 - 2*k**2 - 2*k - 1. Let t(b) = -b**2 - 20*b - 2. Let j be t(-20). Determine h(j).
-13
Let h(w) = -w**2 - w + 0*w**2 + 0*w + 0*w**2 + 20. Suppose -15*f = -23*f + 10*f. What is h(f)?
20
Let x = -31 - -39. Suppose -1 - 7 = x*l. Let m(b) = -8*b**2 - 2*b - 1. Determine m(l).
-7
Let i(c) be the first derivative of c**2/2 - c + 78. Determine i(7).
6
Let v(o) be the first derivative of o**7/840 - o**6/120 + o**5/60 + o**4/12 + 2*o**3/3 + 11. Let q(i) be the third derivative of v(i). What is q(3)?
8
Let a(t) be the first derivative of -10*t**3/3 + t**2 - t + 1. Let m(y) = y**3 + 13*y**2 + 14*y + 23. Let n be m(-12). Let c = 2 + n. Give a(c).
-9
Suppose -i = 3*i - 16. Let m(y) = -y**2 + 2*y. Determine m(i).
-8
Let s(y) = 6*y**3 + 4*y**2 - y - 6. Let m(a) = a**3 + a. Let d(x) = 5*m(x) - s(x). What is d(-5)?
1
Let g be -1 - ((-60)/50)/(3/10). Let t(i) = 7*i - 2. Determine t(g).
19
Let q(t) = 3*t - 3. Let n(y) = 8*y - 39. Let r be n(4). Determine q(r).
-24
Let n(i) = -i**2 + i + 1. Let o(x) = 6*x**2 - 19*x - 22. Let s(g) = -5*n(g) - o(g). Let d be s(15). Let j(r) = -r**d - r + 6 + r - 4*r + 3*r. Calculate j(0).
6
Let h(s) = s**3 - 2*s**2 + 3*s + 2. Let d be h(2). Let p(b | {
"pile_set_name": "DM Mathematics"
} |
(l*l*l*l**(-9/5)) assuming l is positive.
l**(1009/55)
Simplify ((t**(-1)*t/(t/t**(1/5)))/(t**6/t**(-1/4)))**(-3/4) assuming t is positive.
t**(423/80)
Simplify ((n/n**(-2/87))/n**(33/2))/(n**(1/29)*n/(n*n*n**(-17)/n)) assuming n is positive.
n**(-5657/174)
Simplify (m*(m/(m*m*m/m**(1/5)))/m*m**(2/63)*m)**(-5/3) assuming m is positive.
m**(242/189)
Simplify (((h*h**3/h*h)/h**(-3/11))**(-11))**(-1/6) assuming h is positive.
h**(47/6)
Simplify (m**(-1/3))**(-1/16)/(m**(-3/11))**(4/3) assuming m is positive.
m**(203/528)
Simplify ((b*b/(b**5*b))/b**(-22))/(b**(-5/6)/b**(3/23)) assuming b is positive.
b**(2617/138)
Simplify (n**(-1))**(2/5)*(n/n**31)**(3/19) assuming n is positive.
n**(-488/95)
Simplify (((g*g**1)/(g**(2/25)/g))**(-5/2))**11 assuming g is positive.
g**(-803/10)
Simplify (((b*b**2)/b)**(-12))**(13/3) assuming b is positive.
b**(-104)
Simplify (m*m/m**(-4))**(-1/27)*(m**(-11)/m)/(m*m**(-9/2)) assuming m is positive.
m**(-157/18)
Simplify (s**5*s/(s*s**2)*(s*s**(2/3))/((s/(s**(-9)*s)*s*s)/s))**(1/3) assuming s is positive.
s**(-16/9)
Simplify ((w/(w/w**(1/30)))/(w/w**31))/(w*w**(-9/8)*w**(-34)) assuming w is positive.
w**(7699/120)
Simplify (l**(3/7)/l**(-2/7))/((l*l**(-3))/l*l**(-1/18)) assuming l is positive.
l**(475/126)
Simplify (d/(d*d**(-5)*d)*d*d/d**2)/(d/(d**2/d))**2 assuming d is positive.
d**4
Simplify ((((s*s**(-23)*s)/s)/s)/s*s**(1/9)*s*s)**(-18) assuming s is positive.
s**394
Simplify (r**(1/5))**(3/5)/(r**11*r**(-17)) assuming r is positive.
r**(153/25)
Simplify (v*v**5*v/v**(-4/7)*(v*v**0/v)**32)**(-20) assuming v is positive.
v**(-1060/7)
Simplify ((b**(-2/3)*b*((b*(b*b**(3/2))/b*b)/b)/b)/(b**3*b*b**(2/3)))**(-5/3) assuming b is positive.
b**(85/18)
Simplify (g**(-1/10)*g/((g**0/g)/g)*g)/(g**13*g**(-4/9)) assuming g is positive.
g**(-779/90)
Simplify ((x**(-12)*x**(-1))/(x**(1/3))**(-10))**(-12/7) assuming x is positive.
x**(116/7)
Simplify ((i*i*(i*(i/(i/(i/(i/i**14))))/i)/i*i*i*i**(1/13))**(2/53))**(-41) assuming i is positive.
i**(-18204/689)
Simplify h/h**(-1/20)*h**6*h**(-1/9)*h**(-3/11) assuming h is positive.
h**(13199/1980)
Simplify (((m*(m*m**(5/14))/m*m)/m)/(m*(m**(-40)/m*m)/m))/((m*m**(-17))/m*m**(-4/11)) assuming m is positive.
m**(9043/154)
Simplify ((y**(1/5)/y*y)/y**(-8/7))/((y/(y/(y/(y/(y/(((y**(-13)/y)/y)/y))))))/((y/y**(-3/5)*y)/y)) assuming y is positive.
y**(-492/35)
Simplify (z**(-13))**21*(z**(-10)*z)**49 assuming z is positive.
z**(-714)
Simplify (x*x*x/(x*x**(-2/7))*x)**(-4/7)/(x**(-2/5))**(-2) assuming x is positive.
x**(-656/245)
Simplify (((q*(q/(q*q*q/q**21)*q)/q)/q)/q**13)/(q**(2/25)/q**(2/5)) assuming q is positive.
q**(158/25)
Simplify (h**(-4)/(h*(h/h**(-2/19))/h))/(h**(-15)/(h**(-2)/h)) assuming h is positive.
h**(131/19)
Simplify l**(2/9)/(l*l**13*l)*(l/l**(2/29)*l)/(l*l**9) assuming l is positive.
l**(-5963/261)
Simplify r*r*r**(-13)*r*r*(r/(r*r/r**(3/7)*r*r))/r*r*r/(r*r/r**(-8))*((r/(r/(r*r**(-3/7))*r))/r)/r assuming r is positive.
r**(-23)
Simplify (((c/(((c*(c**(1/21)/c)/c)/c)/c)*c)/c)/(c**(-1/3)/c))**(-2/7) assuming c is positive.
c**(-74/49)
Simplify a*a*a/(a*a/(a/(a/a**(-3))*a))*a*a*a**(-1)*(a/a**5)/a*a/a**(-5/4) assuming a is positive.
a**(-11/4)
Simplify (c*c*(c/(c*c**(-3/7)))/c)**35*c**22/c*c*c**(-2/73) assuming c is positive.
c**(5254/73)
Simplify (h**(-1/6)*h)**(-3)*(h**(-7)*h)/h**(-11) assuming h is positive.
h**(5/2)
Simplify (x*x**(7/2))/x**(-3/8)*(x/((x*x**1*x)/x*x*x))**(3/44) assuming x is positive.
x**(411/88)
Simplify (k**(-2)/(k/(k**(-13)*k)))/(k**(-3/4)/k)**(-1/21) assuming k is positive.
k**(-181/12)
Simplify (w**(-1/6)/(w**(2/9)/w)*(w**1)**(-3))**(4/21) assuming w is positive.
w**(-86/189)
Simplify ((k**(-6)*k/(k*k*k/(k*k**(-3/4)*k)))**(-1/32))**14 assuming k is positive.
k**(189/64)
Simplify (b**(12/5)/((((b*b/b**(-9))/b)/b)/b))/(b/(b*b*b**(-2/13)*b*b))**(-4/7) assuming b is positive.
b**(-3288/455)
Simplify d**(-2/11)*d*d*d**(-14)*(d*d**(6/13)*d)/d**(-2/9) assuming d is positive.
d**(-12224/1287)
Simplify (l**0*l*l)**(-12/5)/((l*l**(1/3))/(l/(l*l/(l**5*l)))) assuming l is positive.
l**(-17/15)
Simplify (u**(-4/15))**(-32)*(u**(-9))**10 assuming u is positive.
u**(-1222/15)
Simplify (t**(-15/4)/(t**(1/4)/t))**39 assuming t is positive.
t**(-117)
Simplify (w**(-11))**24/((w*w/w**11*w*w)/(w**(-26)/w)) assuming w is positive.
w**(-284)
Simplify o**1/(o/((o**(-6)/o)/o))*(o**(1/4))**(5/6) assuming o is positive.
o**(-187/24)
Simplify ((t**0/t)/(t/(t*t**(-3/4)*t)))**(2/37) assuming t is positive.
t**(-3/74)
Simplify o/(o*o**1)*o**(-14)*o*o*o*o**16*o*(o*(o/o**(3/7)*o)/o*o)/o assuming o is positive.
o**(46/7)
Simplify (s/(s/(s/(s*s*s**(11/6)))))/(s*s**(-12)*s)*(s**(1/4))**(-21) assuming s is positive.
s**(23/12)
Simplify (h**(-5/6)/h)/h**(-6)*(h/(h/(h/(h**(-2/5)/h))*h))/(h*h/(h**(3/8)*h)) assuming h is positive.
h**(593/120)
Simplify ((((c/(c*c**(-8)*c*c))/c)/(c/(c*(c**(-2/37)*c*c)/c*c)))**(2/57))**(39/5) assuming c is positive.
c**(6682/3515)
Simplify s**(1/10)*s*s/s**(-1/26)*(s/(s*s/((s*s/(s*s*s**(-4))*s)/s)))**(-1/9) assuming s is positive.
s**(352/195)
Simplify ((((z**(2/7)/z)/z)/z)/(z/(z*z/((z**(-12)*z)/z))))/(z**(2/29)*z*z/(z*z**(-4/9)*z*z)) assuming z is positive.
z**(19681/1827)
Simplify (a*(a/(a/(a/(a/a**5))))/a)/a*a**(-3)*a**(-7/2)/a**4 assuming a is positive.
a**(-13/2)
Simplify ((((d**(-2/39)/d)/d)/d)**(-44))**(5/12) assuming d is positive.
d**(6545/117)
Simplify (((t**0/t)/((t**1*t)/t))**(-7/5))**(3/43) assuming t is positive.
t**(42/215)
Simplify (((y**(-2/41)/y)**2)**(-26))**(-17) assuming y is positive.
y**(-38012/41)
Simplify r**(-23)*r*r**23*r*r**(1/7)/((r*r/r**(-8/3))/r) assuming r is positive.
r**(-32/21)
Simplify (y**17)**(-8/13)*((y*y/y**1*y)/y)/(y*y*y**(2/39)) assuming y is positive.
y**(-449/39)
Simplify ((l*l**(-9))/l)**(10/7)/(l*l**(1/17)/l*l*l*l**1*l) assuming l is positive.
l**(-2013/119)
Simplify (h**(-1))**(-2/3)/(h*h**(9/5)*h**(-1/2)*h) assuming h is positive.
h**(-79/30)
Simplify (o/(o/o**(-2/5)))**(21/4)/(o**1)**37 assuming o is positive.
o**(-391/10)
Simplify ((b/(b**(2/15)/b))**(5/3))**(-2/11) assuming b is positive.
b**(-56/99)
Simplify (o*o**(1/21))**(-2/45)/(o**(2/11)/(o**15*o)) assuming o is positive.
o**(163946/10395)
Simplify s*s**(2/59)*s*s/(s/(s*s*s**12*s))*(s*s**(-1/4))/(s**(-13/5)/s) assuming s is positive.
s**(25233/1180)
Simplify (m**(-15)*m*m*m**(1/15)/m)/(m**3/(m**(2/67)/m*m)) assuming m is positive.
m**(-16988/1005)
Simplify ((i**(-6)/(i*i**3*i))**13)**(-45) assuming i is positive.
i**6435
Simplify s*s/s**13*s*s/s**(-12)*s**(-3)/(s/s**12*s) assuming s is positive.
s**10
Simplify (b/(b*b**(2/29)))/b**12*b**(-3)/((b/(b*(b**(-10)*b)/b)*b)/b*b) assuming b is positive.
b**(-756/29)
Simplify d*d*d/(d*d/d**(2/13)*d)*(d**(5/2)*d)/d*(d*d*d**2)/d*d**(-1/12)/d assuming d is positive.
d**(713/156)
Simplify (y/y**(2/47)*y/(y*y**(-4/21)*y))/((y*y**(-15/4))/(y*y/(y/(y**26*y*y)))) assuming y is positive.
y**(125933/3948)
Simplify i**3*i/(i/(i**(-13)*i)*i)*(((i*i**(-1/6))/i*i)/i)/(i**(-3)*i) assuming i is positive.
i**(-49/6)
Simplify (z**(6/7)/(z/((z**(13/2)/z*z)/z)))/((z**(-5/3)/z)/z**(-6)) assuming z is positive.
z**(85/42)
Simplify (t**(-1/8))**(8/7)*((t/(t/t**(-1))*t*t)/t)**(-34) assuming t is positive.
t**(-1/7)
Simplify ((u/u**2)/(u**18*u))/(u**(-4/5))**(-35) assuming u is positive.
u**(-48)
Simplify ((c**(3/2)/(c*(c**8*c*c)/c*c*c*c))/(c**(-9)*((c/(c/(c**(-3/4)*c)*c))/c)/c))**(-40) assuming c is positive.
c**(-10)
Simplify (q**(2/19)*(q/(q*q**(-2)))/q)/(q**(2/47)/q)**(-9) assuming q is positive.
q**(-6708/893)
Simplify (m**(2/13))**(8/3)/(m*m**(-6))**34 assuming m is positive.
m**(6646/39)
Simplify ((o*o/o**(-11)*o*o/(o*o/o**12))**(13/5))**(-20/9) assuming o is positive.
o**(-1300/9)
Simplify ((l/((l/(l**(-1/4)/l)*l)/l)*l*l*l*l*l/(l/((l*l/((l/l**0)/l))/l*l))*l*l)/(l*l**(2/9)*l**(-2)/l))**6 assuming l is positive.
l**(307/6)
Simplify q/(q*q**(-4/15))*q**20*(q/((q/(q/q**(9/4)))/q))/(q*q**(3/4)) assuming q is positive.
q**(274/15)
Simplify ((x**(-1/3))**(-2/37)/(x**(-2/11)*x/x**(-4)))**(-47) assuming x is positive.
x**(275467/1221)
Simplify (w**(-2/13)*w**(-1)*w/w**(-1/10)*(w*w*w**(1/6)*w*w*w*w)/w)**(2/3) assuming w is positive.
w**(1994/585)
Simplify (f**5)**(-41)/((f**(-5)*f)/(f/((f*f*f**(7/5)*f)/f))) assuming f is positive.
| {
"pile_set_name": "DM Mathematics"
} |
+ 9. Let d(h) = -2*h + 12. Let q be d(5). Let n be (2 + -8 + q)*2/1. What is the units digit of y(n)?
9
Let k = 31346 - 6270. What is the ten thousands digit of k?
2
Let i be 69 + (-5)/1 + 0. Suppose 1040 = 68*o - i*o. What is the hundreds digit of o?
2
Let k be -4 + (11 - (-1 - 3)). Suppose k*c - 13*c + 18 = 0. Suppose 0 = 3*h - c*h + 186. What is the tens digit of h?
3
Suppose -20*r + 43*r = -38157. Let a = -1050 - r. What is the tens digit of a?
0
Suppose 100337 = 4*j - 110391. What is the thousands digit of j?
2
Let d(c) = 2*c**3 + c**2 - 2*c + 1. Let k be d(1). Let j be (1/k)/((-4)/(-296)). Suppose s - 10 = j. What is the tens digit of s?
4
Suppose 0 = -3*i + 4*p - 2*p - 1450, -i + 2*p - 486 = 0. Let f = -332 - i. What is the units digit of f?
0
Let z be 82/(-10) - (-5)/25. Let a be 44436/(-15) - -3*z/(-60). What is the tens digit of (2 - (-168)/(-91)) + a/(-13)?
2
What is the units digit of (180/(-24))/15*-254*4?
8
Suppose 352 = 2*m + 6*m. What is the units digit of 48/m*66/12?
6
Suppose -9*m - 454 + 544 = 0. Suppose m*u + 24*u = 48722. What is the tens digit of u?
3
Let x = -111 + 113. Suppose 5*i + 23 = 3, -4*i = x*j - 30. What is the units digit of j?
3
Let l be 19981/39 + (-4)/(-6). Let d = 357 + l. What is the tens digit of d?
7
Let p(b) = -8*b**2 - 6*b + 90. Let h(z) = 9*z**2 + 6*z - 91. Let i(l) = -4*h(l) - 5*p(l). What is the hundreds digit of i(10)?
3
Let x(g) = -1629*g - 6614. What is the hundreds digit of x(-37)?
6
What is the tens digit of 303/1515 + 83368/10?
3
Suppose h + 3*z - 1386 = 6*h, 273 = -h + 2*z. Let q = -77 - h. What is the units digit of q?
2
Let t be (-3285)/135*(-1 - 2)*1. Let d = 173 - t. What is the tens digit of d?
0
Let t be 0 + 1255 + (-15)/(-60)*-8. Let h = -238 + t. What is the hundreds digit of h?
0
Let l(x) = 81*x - 8. Suppose 0 = -4*f - 4*k + 60, f - 61 = -4*f + 2*k. Suppose -4*o + 11 = z, -o + 11*z = 6*z + f. What is the tens digit of l(o)?
5
Let j = 468 - -2758. What is the units digit of j?
6
Let i(g) = 51*g**2 + 3*g - 6. Let v = 117 + -114. Let q be i(v). Suppose -1606 + q = -13*x. What is the units digit of x?
8
Suppose 17*h - 15*h + 42 = 0. Let j = h - -24. Suppose -137 - 16 = -j*l. What is the units digit of l?
1
Let b(k) = -3*k**3 + 3*k**2 + k - 4. Let n be b(2). Let f be n*-1*4/8. Suppose -2*h - f = -47. What is the tens digit of h?
2
What is the units digit of (4 - 19 - -13)*(-83271)/(-3 + 6)?
4
What is the thousands digit of (-728)/455*38535/(-12)?
5
Suppose 0 = 2*x - 5*a + 15, 6 = -5*x + 14*a - 12*a. Let b be (-4)/22 - 1332/(-66). Suppose -b = -5*w, o = -x*w - w + 89. What is the tens digit of o?
8
Let z(w) = 40*w**2 - 75*w - 840. What is the tens digit of z(-21)?
7
Suppose 16*i + z - 27258 = 12*i, 0 = i + 4*z - 6807. What is the thousands digit of i?
6
Suppose -3*t + 7877284 = 3*t + 206*t. What is the hundreds digit of t?
1
Suppose -6*n - 10 - 8 = 0. Let s be n*1*4/(-3). What is the tens digit of 4/s + (1 + 68)*1?
7
Let i = 254 - 150. Let l = 932 + i. What is the thousands digit of l?
1
Let c(l) = 30*l**3 + 5*l - 5. Let p = -48 + 50. What is the tens digit of c(p)?
4
Let s = -2374 + 6491. What is the hundreds digit of s?
1
Let s(d) = 4*d**2 + 2*d - 1. Let u(w) = w**2 - w - 1. Let y(n) = s(n) + 4*u(n). What is the tens digit of y(7)?
7
Let o be 2/2 - (-4 - 33). Let x = -35 + o. Suppose x*h = h + 16. What is the units digit of h?
8
Let g(y) = -y. Let d be g(-4). Suppose 1854 = 5*r - m - 771, -d*r - 5*m = -2100. What is the tens digit of r?
2
Let o = -125 - -128. Let n = 398 - o. What is the tens digit of n?
9
Let b(y) = -2*y**2 + 12*y - 4. Let p be b(5). Suppose -42 = p*g + g. What is the tens digit of (236/g)/(2/(-3))?
5
Let p = 20 - -117. Suppose 1 = 2*b - p. What is the units digit of b?
9
Suppose -4*t + 10*x = -72036, -5*t + 30*x - 27*x + 90007 = 0. What is the thousands digit of t?
7
Suppose 2*b + 272 = 236. Let m(v) = -v**3 - 12*v**2 + 9*v - 13. What is the tens digit of m(b)?
6
Suppose -6 = -2*u - 5*q, -u + q = 2*u - 9. Suppose 263 = 4*k + u*a - 885, 0 = -a. What is the tens digit of k?
8
Suppose 49*d - 871463 - 452517 = 0. Suppose -d = -7*u - 13*u. What is the hundreds digit of u?
3
Let z = -45 - -122. Suppose -z = -p + 64. What is the units digit of p?
1
Let n(s) = 12 - s**2 + 85*s - 29*s - 13*s. What is the tens digit of n(31)?
8
Let q(y) = y**3 + 22*y**2 - 31*y - 20. Let s be q(-23). Let m = s - 23. What is the units digit of m?
1
Suppose -3*j = -6*j + 6. Suppose -s + 6 = j*m, s + 4*m = 6*s + 12. What is the units digit of s + (-1)/(-3) + 51/9?
6
Let j = 1314 - -811. What is the units digit of 3/7 + j/7?
4
Let r(m) = -47*m + 53. Let s be r(4). What is the hundreds digit of (s/18 + -3)*-94?
9
Let q = 98467 - 69690. What is the tens digit of q?
7
Let u(n) = -n**3 + 9*n**2 - 2*n + 22. Let l be u(9). Suppose 4*f + 3*t = 116 + 61, l*f - t - 197 = 0. What is the tens digit of f - ((-11)/(-9) + 6/(-27))?
4
Let g(k) = 298*k - 6603. What is the units digit of g(24)?
9
Let r = 81 + -38. Let u = 272 - 135. Let o = u - r. What is the tens digit of o?
9
Let h(c) = -2*c**2 - 6*c - 32. Let x be h(0). What is the hundreds digit of (8830/(-12))/(-5) + x/192?
1
Let j = 3230 - -13304. What is the units digit of j?
4
Let f(w) = -3*w + 1. Let u(s) = 100*s - 25. Let d(a) = -4*f(a) - u(a). What is the tens digit of d(-2)?
9
Suppose 5*z + 4*j - 9*j = 103555, -4*j + 103501 = 5*z. What is the tens digit of z?
0
Let n be -9*((-28)/(-6) - 5). Suppose 0 = 4*j + 2*r - 1838, -n*r = -4*j - 4*r + 1843. What is the units digit of j?
2
Let m(b) be the second derivative of b**5/20 - 11*b**4/12 - 3*b**3 - 29*b**2/2 - b + 19. What is the tens digit of m(13)?
7
Let l = -3155 - -7782. What is the thousands digit of l?
4
Suppose 5058 = 2*i - 3*r + r, 4*r = -20. Suppose i = -6*d + 7504. What is the units digit of d?
0
Let z = -767 + 789. Suppose -z*m - 26*m + 27984 = 0. What is the units digit of m?
3
Suppose -m - 29372 = -3*z, 3*m = 4*z - 17020 - 22131. What is the hundreds digit of z?
7
Let b(g) be the first derivative of -g**4/4 - 4*g**3/3 + 6*g**2 + 27*g + 168. What is the units digit of b(-6)?
7
What is the units digit of (-2822)/3*(187/55)/(2/(-15))?
7
Let a be (1 - 2)*(-12 - 3). Let t be 6/a - 388/(-5). Let i = -22 + t. What is the units digit of i?
6
Let s = -3 + 2. Suppose 0 = -n - 4*v + 22, 0 = -n + 5*n + v - 133. What is the units digit of (-10)/(-15)*s*(1 - n)?
2
Let z be ((-16)/6)/(1/18). Let n = 62 - z. Let h = n + 44. What is the hundreds digit of h?
1
Let j(o) = o**3 - 21*o**2 + 20*o + 5. Let z be j(20). Suppose -4*i = 5*u + 54, -3*u - z*i = 6 + 16. What is the tens digit of (u + 1)*(-2)/(1 - 0)?
2
Suppose -208*o = -43*o - 3381510. What is the hundreds digit of o?
4
Let p = 473 - 55. Suppose -8*g + 6*g = -p. What is the hundreds digit of g?
2
Let s(o) = 23611*o**2 - 2*o - 5. What is the tens digit of s(1)?
0
Suppose t = -4*u + 29611, 1107*u = -2*t + 1102*u + 59243. What is the units digit of t?
9
Let u = 128 - 126. What is the hundreds digit of (u/6)/((30/(-7542))/(-5))?
4
Let y(l) = l**3 - 7*l**2 - 111*l - 56. What is the hundreds digit of y(29)?
2
Suppose -37*l + 309424 = 14830. What is the units digit of l?
2
Let f(k) = -k**3 + 24*k**2 - 17*k - 461. What is the hundreds digit of f(-21)?
7
Let c be (-486)/36*4/6. Let v(r) = r**2 + 9*r - 32. Let g be v(c). What is the units digit of (3 - g)*4/6*3?
0
Let s(m) = 48*m**2 + 13*m - 8. Let h(c) = 2*c**2 + c - 12. Let y be h(-3). What is the units digit of s(y)?
3
Let n = 16899 - 11808. What is the thousands digit of n?
5
Let u(d) = 77*d**2 + d + 1. Let a = 6 + -64. Let w = 59 + a. What is the units digit of u(w)?
9
Suppose -801*z - 62270 = -811*z. What is the hundreds digit of z?
2
Suppose 0 = 8*w - 628 - 332. Let p(a) = -4*a**3 - a**2 - 2*a - 1. Let q be p(-1). Suppose i - w = c - q*c, i = 3*c - 126. What is the units digit of c?
1
Suppose 0 = 2*s + 16*s - 4698. Suppose -140 = -2*k + 160. Let a = s - k. What is the hundreds digit of a?
1
Let n(f) = -2*f**2 - 2*f + 8. Let z be n(0). Let g(u) = 51*u - 4. What is the tens digit of g(z)?
0
Let w = -24 - -179. Let u = w - -722. What is the units digit of u?
7
Let f(r) = 430*r**2 - 3*r - 2. Let s be f(-1). Suppose 3*l - 6*l + 1229 = -4*a, -4*a = l - s. What is the hundreds digit of l?
4
Let m = 4 - -71. Let q | {
"pile_set_name": "DM Mathematics"
} |
ree letters picked without replacement from tpqttttttpqtptt. Give prob of picking 2 q and 1 p.
3/455
Three letters picked without replacement from aiiiiixibiubxiwibui. Give prob of picking 1 w, 1 b, and 1 i.
10/323
Calculate prob of picking 2 g and 1 q when three letters picked without replacement from qqgqgqg.
12/35
Three letters picked without replacement from {q: 5, x: 14}. Give prob of picking 3 q.
10/969
Calculate prob of picking 1 b and 1 o when two letters picked without replacement from rbbonnyyyooobynhyy.
4/51
Calculate prob of picking 1 s and 2 w when three letters picked without replacement from {q: 2, w: 5, s: 8}.
16/91
Calculate prob of picking 1 x and 1 h when two letters picked without replacement from xxhxq.
3/10
Two letters picked without replacement from nenmmyaajeaem. Give prob of picking 2 n.
1/78
Two letters picked without replacement from yfzmz. What is prob of picking 1 y and 1 f?
1/10
Calculate prob of picking 1 t, 2 l, and 1 n when four letters picked without replacement from ltnlttnllnlnllllll.
11/51
What is prob of picking 1 i and 1 r when two letters picked without replacement from {i: 1, r: 1, n: 1}?
1/3
Two letters picked without replacement from zizzhzdezhzzhzhiihh. Give prob of picking 1 i and 1 d.
1/57
Three letters picked without replacement from {z: 6}. What is prob of picking 3 z?
1
Four letters picked without replacement from {u: 8, a: 4, g: 4}. What is prob of picking 1 g and 3 u?
8/65
What is prob of picking 2 v and 1 k when three letters picked without replacement from {k: 7, p: 2, v: 2, d: 8}?
7/969
Calculate prob of picking 2 l when two letters picked without replacement from bkll.
1/6
What is prob of picking 1 d, 1 l, and 1 u when three letters picked without replacement from {l: 4, d: 1, m: 4, u: 2, t: 6, q: 2}?
8/969
Four letters picked without replacement from wxxjwjxjjx. What is prob of picking 1 x and 3 j?
8/105
Four letters picked without replacement from {i: 1, h: 2, b: 1, a: 3, o: 4}. Give prob of picking 1 o, 1 b, 1 h, and 1 a.
4/55
Calculate prob of picking 3 z when three letters picked without replacement from {z: 6}.
1
Two letters picked without replacement from jmijmjjjjmvvm. What is prob of picking 1 m and 1 j?
4/13
What is prob of picking 2 w when two letters picked without replacement from {n: 6, w: 2}?
1/28
What is prob of picking 1 h, 1 k, and 2 u when four letters picked without replacement from {b: 4, k: 2, h: 1, u: 5, w: 2}?
20/1001
Two letters picked without replacement from {q: 1, j: 1, a: 1, d: 4, i: 1}. Give prob of picking 1 d and 1 q.
1/7
Two letters picked without replacement from mmymmfmmmmm. What is prob of picking 1 m and 1 y?
9/55
Four letters picked without replacement from {c: 3, n: 10, s: 2, h: 2, g: 2}. Give prob of picking 1 c, 1 g, and 2 h.
1/646
Two letters picked without replacement from xjjprxmjbjxj. What is prob of picking 1 x and 1 p?
1/22
Four letters picked without replacement from {b: 1, s: 7, l: 5}. What is prob of picking 1 s and 3 l?
14/143
What is prob of picking 2 b when two letters picked without replacement from {b: 1, r: 18}?
0
What is prob of picking 1 o and 3 w when four letters picked without replacement from {o: 15, w: 5}?
10/323
What is prob of picking 3 l and 1 b when four letters picked without replacement from {z: 7, l: 3, b: 2}?
2/495
Three letters picked without replacement from yyivyayyy. Give prob of picking 1 a, 1 y, and 1 i.
1/14
Calculate prob of picking 3 x when three letters picked without replacement from {s: 3, x: 5}.
5/28
What is prob of picking 2 k when two letters picked without replacement from aahyakckac?
1/45
Four letters picked without replacement from bwwwbwwwbbwwwbbb. What is prob of picking 2 w and 2 b?
27/65
What is prob of picking 3 k and 1 q when four letters picked without replacement from {k: 7, q: 1}?
1/2
What is prob of picking 1 p and 1 h when two letters picked without replacement from {h: 11, p: 2}?
11/39
What is prob of picking 1 v and 1 n when two letters picked without replacement from vvvvvxvvvnvvv?
11/78
What is prob of picking 2 d and 1 s when three letters picked without replacement from ldslddsdssddslsss?
3/17
Two letters picked without replacement from {r: 7, k: 3, u: 2}. What is prob of picking 2 u?
1/66
Four letters picked without replacement from {v: 1, p: 1, s: 1, l: 1, e: 1}. What is prob of picking 3 s and 1 l?
0
Two letters picked without replacement from srtsszzcs. What is prob of picking 1 t and 1 r?
1/36
Three letters picked without replacement from lwwzlz. What is prob of picking 2 w and 1 z?
1/10
What is prob of picking 1 b and 1 x when two letters picked without replacement from {b: 2, m: 5, o: 1, z: 2, r: 2, x: 1}?
1/39
Two letters picked without replacement from cybbyylbymbbbcc. Give prob of picking 2 b.
1/7
What is prob of picking 2 s and 2 a when four letters picked without replacement from {s: 1, n: 1, c: 2, a: 10}?
0
Calculate prob of picking 1 g, 1 q, and 2 k when four letters picked without replacement from {c: 6, w: 1, k: 2, q: 2, g: 1}.
2/495
What is prob of picking 1 b and 1 f when two letters picked without replacement from ifbiiibibbbbii?
6/91
What is prob of picking 2 d, 1 n, and 1 q when four letters picked without replacement from {d: 2, q: 2, j: 6, n: 1}?
1/165
Two letters picked without replacement from {x: 6, u: 12}. Give prob of picking 2 u.
22/51
Two letters picked without replacement from mnapaapqvaampmm. Give prob of picking 1 m and 1 n.
4/105
Calculate prob of picking 3 c when three letters picked without replacement from crcrcccrcrccccrcccc.
364/969
Calculate prob of picking 1 h and 2 o when three letters picked without replacement from hahoi.
0
Calculate prob of picking 1 x and 1 q when two letters picked without replacement from {x: 2, q: 5}.
10/21
What is prob of picking 2 h, 1 i, and 1 c when four letters picked without replacement from {h: 9, i: 1, c: 2, x: 2}?
72/1001
Three letters picked without replacement from {a: 8, u: 8, d: 4}. Give prob of picking 3 d.
1/285
Calculate prob of picking 1 a and 3 r when four letters picked without replacement from rrarrrrara.
1/2
Two letters picked without replacement from {r: 3, q: 15}. What is prob of picking 1 r and 1 q?
5/17
Two letters picked without replacement from bcmmmebssmlblss. Give prob of picking 1 s and 1 b.
4/35
Three letters picked without replacement from {k: 3, h: 2, x: 10}. Give prob of picking 3 k.
1/455
Three letters picked without replacement from zggzzzzgggzz. Give prob of picking 2 z and 1 g.
21/44
Four letters picked without replacement from {p: 1, o: 2, g: 2, n: 1, f: 2, w: 1}. What is prob of picking 2 o, 1 p, and 1 f?
1/63
What is prob of picking 3 v when three letters picked without replacement from vcyzypyuvvyzpypyz?
1/680
Two letters picked without replacement from pipapipaipa. What is prob of picking 2 p?
2/11
What is prob of picking 1 q and 1 t when two letters picked without replacement from {q: 1, m: 4, a: 1, t: 2, g: 2}?
2/45
Calculate prob of picking 1 v and 1 s when two letters picked without replacement from tttoosovtls.
2/55
Two letters picked without replacement from {u: 1, c: 2, n: 1, o: 2, v: 1, b: 11}. Give prob of picking 1 b and 1 u.
11/153
Three letters picked without replacement from iqrrirr. Give prob of picking 1 q, 1 r, and 1 i.
8/35
Calculate prob of picking 1 f and 1 r when two letters picked without replacement from rrrffrcrrfcffr.
5/13
Two letters picked without replacement from {w: 6, t: 6, f: 7}. What is prob of picking 1 w and 1 f?
14/57
Three letters picked without replacement from hihhiwvwhhh. Give prob of picking 1 i, 1 h, and 1 w.
8/55
What is prob of picking 4 a when four letters picked without replacement from {t: 1, q: 1, f: 4, y: 3, z: 1, a: 4}?
1/1001
Two letters picked without replacement from {l: 3, a: 11, i: 5, x: 1}. Give prob of picking 1 l and 1 x.
3/190
Three letters picked without replacement from iitiititiztttstsi. What is prob of picking 1 t, 1 i, and 1 z?
49/680
Three letters picked without replacement from {h: 3, w: 3}. What is prob of picking 2 w and 1 h?
9/20
Two letters picked without replacement from jocpcjcoojodol. What is prob of picking 1 o and 1 p?
5/91
Calculate prob of picking 1 a, 1 f, and 2 w when four letters picked without re | {
"pile_set_name": "DM Mathematics"
} |
1453/35)
Simplify a*a*a**(-8)/a*a**9*(((a/(a**7*a)*a)/a)/a*a)/a*a/(a/(a**(-12)*a)) assuming a is positive.
a**(-17)
Simplify (s**(12/5)/s**(-21))/(s/(s**(2/3)*s))**(-40) assuming s is positive.
s**(-49/15)
Simplify (d**(-8/3))**(3/13)/(d**12/d)**(-34) assuming d is positive.
d**(4854/13)
Simplify u*u**(-5/2)*u*u*((u*u**(-3/10))/u)/u*u*(u**(-10)*u)**(-10/9) assuming u is positive.
u**(51/5)
Simplify ((l/l**6)/(l**(6/11)/l*l))/((((l/((l/(l/(l*l**(6/7)*l*l*l))*l)/l))/l*l)/l)/l*l**5) assuming l is positive.
l**(-361/77)
Simplify (z*z**(1/2))**40/((z**(23/3)/z)/(z*z*z**25*z*z*z)) assuming z is positive.
z**(250/3)
Simplify (((s*(s*(s**(-3/4)*s*s)/s)/s)/s)/s*s)**(-2/11)/((s*((s**(2/27)/s)/s)/s)/(s/s**(2/15))) assuming s is positive.
s**(8159/2970)
Simplify (r*r*r**(-9))**(-5/2)/(r**(-7)/r)**(1/8) assuming r is positive.
r**(37/2)
Simplify n*n**(3/11)*n/((n/(n*n/(n*n**(-1/5)/n*n*n*n)*n))/n)*(n**(-2/9))**(-10/11) assuming n is positive.
n**(1324/495)
Simplify (h**(1/3)/h*h)**(4/35)/(h/h**2)**(2/99) assuming h is positive.
h**(202/3465)
Simplify ((k/(k/(k**(3/4)/k))*k)/(k*k/k**(2/113)))/((k/(k**(2/85)/k)*k)/k*k*k**(1/3)/k*k) assuming k is positive.
k**(-523523/115260)
Simplify (y**(4/7)/y)/y*y**(1/19)*y*y**(4/11)/y**12 assuming y is positive.
y**(-17574/1463)
Simplify ((d**9/(d*d**4*d*d))**(3/13))**(2/23) assuming d is positive.
d**(12/299)
Simplify ((g/(g*g**(-2)))/g)**(-1/37)*g**(-2)/(g**(-8)*g) assuming g is positive.
g**(184/37)
Simplify (f**(-14))**32*f/(f*f*f**(-3/4)/f*f*f)*(f**(8/7)/f*f*f*f)/f assuming f is positive.
f**(-12519/28)
Simplify (g/((g/(g/g**(1/24)))/g)*g**19/g)/(g**20*(g**(-3)/g)/g) assuming g is positive.
g**(119/24)
Simplify (q/(q/(q*(q**(1/5)/q)/q)))/q*q**(-16)/q*q*((q*q**(-1))/q)**(3/17) assuming q is positive.
q**(-1528/85)
Simplify ((d**(-2/11)/(((d/(d/(d/(d*d/d**(2/7)))))/d*d)/d))**(-30))**8 assuming d is positive.
d**(-28320/77)
Simplify (l/l**(-1/6))**32/((l*l/(l/(l/(l/l**0)))*l)/l*l**(-3/2)) assuming l is positive.
l**(227/6)
Simplify n**(-2/5)*n**(2/11)/n*(n*n**(-2))**(-6/5) assuming n is positive.
n**(-1/55)
Simplify (b**(-32)*b*(b*b**20)/b)/((b*b/b**(-11/2)*b)/(b/((b/(b/((b**1/b)/b)))/b*b*b)*b)) assuming b is positive.
b**(-35/2)
Simplify (t**10*t)/(t**5*t)*(t**1)**40 assuming t is positive.
t**45
Simplify (v**(-8))**(-7)/((v**(-10/9)*v)/((v/(v*v**22*v))/v*v)) assuming v is positive.
v**(298/9)
Simplify (v*(v**20*v)/v*v**(-6/17))**42 assuming v is positive.
v**(14742/17)
Simplify (t*(t/(t**(2/5)*t))/t)**(-13/2)*t/(t*(t/(((t*t**12*t)/t*t)/t))/t)*t/(t/t**(-4))*t assuming t is positive.
t**(63/5)
Simplify (z*z*z**1)**(-14)*z/(z**(-1)/z*z)*z*z**(4/9) assuming z is positive.
z**(-347/9)
Simplify p/(p**(-4/15)*p)*p/p**(4/3)*p**(-7)/(p/(p**(1/25)*p)) assuming p is positive.
p**(-527/75)
Simplify (k/((k*k**(3/4))/k))**(32/5)/(k**(3/2)*k*k*k/((k/(k/(k**(-1/6)*k)))/k)) assuming k is positive.
k**(-46/15)
Simplify ((q**0/q)/(q**(-12)/q*q))/((q/q**(-27)*q)/(((q/(q/q**(13/5)))/q)/q)) assuming q is positive.
q**(-87/5)
Simplify (t*t**(-4/7))**8*(t*t**(-3/4)/t)**(-3) assuming t is positive.
t**(159/28)
Simplify ((d*d**(-1/4))/d)**(3/10)/(((d*d**(-7)*d)/d*d)/d*d**(1/18)) assuming d is positive.
d**(2113/360)
Simplify ((b**(-8))**21)**11 assuming b is positive.
b**(-1848)
Simplify (b**17)**(-1/14)/((b*b**(-15)*b)/(b/(b**(4/5)*b))) assuming b is positive.
b**(769/70)
Simplify (((j**1)**49)**(-2/29))**(-10) assuming j is positive.
j**(980/29)
Simplify (x**(-11/6)*x**(-7/4))/(x*x*x**2)**14 assuming x is positive.
x**(-715/12)
Simplify ((x**3*x*x)/x)**24*(x/(x**(-6)/x))/((x*x/x**(-2/21))/x*x) assuming x is positive.
x**(2140/21)
Simplify (m**(-1)*m*m**(2/15))/(m*m*m*m*m**15*m*m*m/m**(-1/17)) assuming m is positive.
m**(-5591/255)
Simplify ((q/(q*q**(-2/9)))/q*q*q*q*q**5*(q**(2/5))**(-36))**(-11/7) assuming q is positive.
q**(3553/315)
Simplify (p*p**(-1/3)/p*p)**(-33)/(((p/(p*p**(-2/13)*p*p))/p)/p**(-8/7)) assuming p is positive.
p**(-1847/91)
Simplify ((g**(2/5)/g)/g**8)/((g*((g/g**(6/7))/g)/g)/(g/(g*g**10*g*g*g*g))) assuming g is positive.
g**(-761/35)
Simplify (c*(c**9/c)/c)**(5/17)/((c*c*c*c**0)/c**(-17)) assuming c is positive.
c**(-300/17)
Simplify (a/(a/(a/a**(2/9))*a))**(-3/10)*a**(-24)/((a/a**(-3/5)*a)/a) assuming a is positive.
a**(-383/15)
Simplify (k**(-7)/k**14)**(7/4) assuming k is positive.
k**(-147/4)
Simplify (s*s**(4/3)*s*s/s**(6/7)*(s**(-1/3))**(8/3))**8 assuming s is positive.
s**(1304/63)
Simplify (k**(-4/7)/k)**27*(k**3/k)**(-12/5) assuming k is positive.
k**(-1653/35)
Simplify (f**(-12))**13/(f**19)**(-4/11) assuming f is positive.
f**(-1640/11)
Simplify (((f/(f/(f/f**(-1/4))))/f)**(-26)/((f*f**(-7))/(f*f/f**(-2/7)*f)))**(-18/7) assuming f is positive.
f**(-351/49)
Simplify (((v*v**(-3/8))/v)/v*v/(v/(v**11/v)*v))/(((v**(4/5)/v)/v)/v)**(7/2) assuming v is positive.
v**(613/40)
Simplify ((o/((o/(o*o/(o*o*(o**32/o)/o)))/o*o*o))/(o/((o/(o/o**(-3/4)))/o)))/(o**(-16))**(3/4) assuming o is positive.
o**(-87/4)
Simplify m**(2/75)*m**(1/5)*(m**(-3/7)/m)/(m*m**(-34)) assuming m is positive.
m**(16694/525)
Simplify ((w*w**(-24)*w)**17)**(-5/6) assuming w is positive.
w**(935/3)
Simplify h*h/(((h**9/h)/h)/h)*h*h*h**(-16/3)*(h**(3/22)/h)/(h**(2/5)*h) assuming h is positive.
h**(-3167/330)
Simplify (b**4/((b/(b**(-1/7)/b))/b))**(-6/13) assuming b is positive.
b**(-120/91)
Simplify (h**1)**(3/5)/(((h*h**6*h*h)/h)/(h/(h**(-3)*h))) assuming h is positive.
h**(-22/5)
Simplify ((z*z**(-1/5)*(z*z**(-8))/z)**(1/46))**(4/5) assuming z is positive.
z**(-72/575)
Simplify b**18/(b*(b*b*(b*b/(b/(b*b**(-1/13))))/b*b)/b*b)*b*b**(4/5)*b/(b/(b*b**(-1)*b*b)) assuming b is positive.
b**(1097/65)
Simplify d/(d/(d/(d*d**13)))*d*d**(-2/11)*(d*(d*d*(d*d**(-2/5)*d)/d)/d*d)/(d*(d/d**11)/d) assuming d is positive.
d**(78/55)
Simplify ((f*f**8/f)/(f/(f*f*f/(f*f**(1/7)*f*f))))/(f**7)**(-19) assuming f is positive.
f**(979/7)
Simplify ((t**8*t**6)**(-33))**(14/11) assuming t is positive.
t**(-588)
Simplify (((s/(s**(3/16)/s))/s*s)/s*s/(s*((s*s/(s**(-4/7)*s))/s)/s))/(s**(-2/9))**(-36) assuming s is positive.
s**(-757/112)
Simplify ((u*(u*u/((u**(-1/14)/u)/u))/u)/u**(-19))/(u**8)**7 assuming u is positive.
u**(-461/14)
Simplify l**(-12/11)/l**13*l**(-27)/l**(-2) assuming l is positive.
l**(-430/11)
Simplify ((b*b**(-26)*b)/((b**(-10/11)/b)/b))**15 assuming b is positive.
b**(-3480/11)
Simplify (t*t**(-2/23)*t*t/t**(-3))/(t/t**(3/4))**(-1/6) assuming t is positive.
t**(3287/552)
Simplify j**(-1)*j**1*j**(2/5)/j*j*j**(-4/11) assuming j is positive.
j**(2/55)
Simplify (c**(8/7)/c*c*c*c*c**(-9))/(c**(-3/7))**5 assuming c is positive.
c**(-26/7)
Simplify d/((d**(-2/21)/d)/d)*d**(-11)*(d*d*d**(-1/14))/d**12 assuming d is positive.
d**(-755/42)
Simplify (n**(-1/10))**28/(n**(3/13)/(n/(n**(-8/11)*n))) assuming n is positive.
n**(-1647/715)
Simplify (k**(-1)/k)/((k/(k*k/k**(-9/5)*k)*k)/k)*k**(12/7)/(k/(k*k**13*k)) assuming k is positive.
k**(613/35)
Simplify (x/x**(1/21)*x/(x**22*x))/((x*(x/x**(-16))/x*x)/x**(-2/25)) assuming x is positive.
x**(-20542/525)
Simplify (((q/q**(2/3))**9)**(-1/18))**(-49) assuming q is positive.
q**(49/6)
Simplify (h*h/(h**(-1)/h))**39/((h*h**(-3/11)*h)/(h**(-2/19)/h*h)) assuming h is positive.
h**(32221/209)
Simplify (u**(-4/7)*u**11)/(u**(2/5)/(u/u**(-1/5))) assuming u is positive.
u**(393/35)
Simplify (((d**(-2/7))**(-4/11))**(-26))**(2/5) assuming d is positive.
d**(-416/385)
Simplify (((x*x**9*x)/(x/(x*x/(x*x/x**8*x))))/(x**(-11)*x*x**12))**17 assuming x is positive.
x**255
Simplify (m/((m**39/m)/m)*m*m*m/(m*m/m**(1/29)*m)*m*m)**(-36) assuming m is positive.
m**(35460/29)
Simplify ((q**(-5)/(q**(-1/4)/q))/((q**(-9/7)/q)/(q*q/(q*((q*q*q**12/q)/q)/q)*q)))**23 assuming q is positive.
q**(-6739/28)
Simplify (t*t/(t*t**5*t)*t/t**(-24))/(t*t*t/(((t/(t*t/(t**15*t*t*t*t*t)))/t)/t)*t*t*t**21) assuming t is positive.
t**11
Simplify ((s/(s**(-2/9)*s)*s)**(-18)/(s*(s*s**(1/3)*s)/s)**24)**34 assuming s is positive.
s**(-2652)
Simplify (((q/q**5)/(q*((q/q**(-6))/q)/q))/(q**(1/2))**(3/7))**(-21) assuming q is positive.
q**(429/2)
Simplify (l**(1/8)*l*l*l)**50/(l*l*l*l**(2/13)*l*l*l**13*l) assuming l is positive.
l**(7129/52)
Simplify ((k**(-1/12))**(-12))**(-1/27) assuming k is positive.
k**(-1/27)
Simplify c**(-31)/c**(-2/5)*(c*c**(2/75))/((c*c/ | {
"pile_set_name": "DM Mathematics"
} |
ative of -a**2*g**2*o + 17*a**2*g**2 - 20*a**2*o**2 - a*g**2*o**2 + 3*g**2*o + 10*g*o**2 + 2*g*o wrt o?
-40*a**2 - 2*a*g**2 + 20*g
What is the third derivative of 6*t**5 + 77*t**4 - 394*t**2?
360*t**2 + 1848*t
Find the second derivative of -26*u**3*w*y**2 - 11*u**3*y - 3*u*w*y + 2*u*y**2 - 3*u + 2*w*y**2 wrt u.
-156*u*w*y**2 - 66*u*y
What is the second derivative of 3364*z**2 + 4014*z?
6728
Find the second derivative of -9*v**4 + v**3 + 800*v wrt v.
-108*v**2 + 6*v
Find the second derivative of p**5 - 67*p**3 + 41*p.
20*p**3 - 402*p
What is the second derivative of -73*y**2*z**3 - 4*y*z - 7*z**3 wrt y?
-146*z**3
Differentiate -6316*n**3 - 402 with respect to n.
-18948*n**2
What is the third derivative of -7263*h**4 - 868*h**2 wrt h?
-174312*h
What is the second derivative of -879*w**4 + 2*w**3 + 2*w + 563?
-10548*w**2 + 12*w
What is the third derivative of d*o**3*y**3 - 4*d*o**3*y**2 - 2*d*o**2*y**3 - d*o*y**2 - 6*d*y**2 - 12*o**3*y**3 wrt y?
6*d*o**3 - 12*d*o**2 - 72*o**3
Find the third derivative of -88*l**4 - 67*l**2.
-2112*l
Differentiate 444*m**2 + 22 wrt m.
888*m
What is the first derivative of -b*r*y**2 - 21*b*r*y + 105*b*r - b - 4*y**2 wrt y?
-2*b*r*y - 21*b*r - 8*y
Find the first derivative of -1731*x**4 - 1894.
-6924*x**3
Find the third derivative of -364*g**4 - 155*g**2.
-8736*g
Find the second derivative of -3*a**3*r**3 - 2*a**3 + 2*a**2*r**3 - 55*a*r wrt r.
-18*a**3*r + 12*a**2*r
What is the first derivative of -164*b*k - 3*b + 11*k + 5 wrt b?
-164*k - 3
Differentiate -1466*g**4*k - g**2*k + 253*k - 2 wrt g.
-5864*g**3*k - 2*g*k
Differentiate -916*m - 1226.
-916
Find the third derivative of -41*o**6 - 3*o**4 - 183*o**2 wrt o.
-4920*o**3 - 72*o
What is the first derivative of -2*g*p*z**2 - g*z - 152*p**2*z**3 + p**2*z + 87*z**3 wrt p?
-2*g*z**2 - 304*p*z**3 + 2*p*z
What is the second derivative of -545*k**4 + 97*k - 2?
-6540*k**2
What is the second derivative of 130*j**2 - j - 553 wrt j?
260
Find the third derivative of 504*g**3*l - 17*g**2*l - 4*l wrt g.
3024*l
Find the third derivative of -354*c**4 - 223*c**2 wrt c.
-8496*c
What is the third derivative of 2*a**3*n**4 + 2*a**3 - 2*a**2*n + 3485*a*n**2 - 1887*n**4 wrt n?
48*a**3*n - 45288*n
Differentiate g**2 + 5971*g - 6029 with respect to g.
2*g + 5971
What is the first derivative of -24*g**3*w**2 + g**3*w + 9*g*w + 204*w**2 wrt g?
-72*g**2*w**2 + 3*g**2*w + 9*w
What is the second derivative of -382*j**3 - 443*j?
-2292*j
Find the third derivative of 490*g**2*j**3 - g**2*j**2 + g*j**4 - 3327*g*j**2 + j**4 + 2 wrt j.
2940*g**2 + 24*g*j + 24*j
What is the second derivative of 28*f*z**2 - 288*f - 3*z**2 - 3*z wrt z?
56*f - 6
What is the second derivative of 38*k*p**3*t - 2*k*p**2*t - 2*k*p*t + 2*k*t - 4*k + p**3*t - p**2 + 34*p*t wrt p?
228*k*p*t - 4*k*t + 6*p*t - 2
What is the second derivative of -32*b**3*d**3 + 2*b**2*d**3 - 5*b**2*d + b*d**3 + 2*b*d**2 + 121*d**2 wrt b?
-192*b*d**3 + 4*d**3 - 10*d
What is the third derivative of 307*j**3 + 14*j**2 wrt j?
1842
Find the second derivative of -78*d**4*o**2 - 3*d + 11*o**2 - o wrt d.
-936*d**2*o**2
What is the third derivative of -q**6 + 230*q**3 - 3379*q**2?
-120*q**3 + 1380
Differentiate -24*i*y**2 + 56*i + 6*y**2 + 2 wrt y.
-48*i*y + 12*y
Differentiate 12*q*z**2 + 3*q*z + 164*z**2 wrt q.
12*z**2 + 3*z
What is the third derivative of 4*i**3 - 2301*i**2?
24
Find the third derivative of 27*i**4 - 67*i**3 - 3*i**2 + 6*i - 9.
648*i - 402
What is the second derivative of 2*w**4 + 428*w**2 + 4410*w?
24*w**2 + 856
What is the derivative of 2*b*i + 252*b*z + b + 4*i*z + 571*i - 1 wrt z?
252*b + 4*i
Differentiate -8807*z - 8713 wrt z.
-8807
What is the second derivative of 50*q**3*z + 2*q*z - 309*z wrt q?
300*q*z
What is the second derivative of 15*d**3*j**2*t**3 + 75*d**3*j**2 + d*j**2*t**3 + 3*d*j**2*t + 280*j**2 wrt d?
90*d*j**2*t**3 + 450*d*j**2
What is the first derivative of 3*s**2*y**2 + 24*s**2 - 31*y**2 wrt s?
6*s*y**2 + 48*s
Differentiate 5369*c**3 + 2*c - 15377 wrt c.
16107*c**2 + 2
Find the third derivative of -31*b**6 + b**4 - 209*b**2 + 2*b wrt b.
-3720*b**3 + 24*b
What is the second derivative of j**2*l + 4*j**2*r - 5*j**2 + 2*j*l + 2*j*r - 18*l*r wrt j?
2*l + 8*r - 10
Find the second derivative of -104*w**4 + 192*w.
-1248*w**2
Differentiate -i**4 + 2102*i**2 - 12013 wrt i.
-4*i**3 + 4204*i
Find the third derivative of 48*j**6 - 8*j**3 - 9090*j**2 wrt j.
5760*j**3 - 48
Differentiate -903*d**4 + 1811 wrt d.
-3612*d**3
What is the second derivative of -2*c**5 + 185*c**4 + 9956*c wrt c?
-40*c**3 + 2220*c**2
What is the third derivative of -25*o**4 - 5*o**3 + 209*o**2 wrt o?
-600*o - 30
What is the derivative of -41*a**2*m - a**2 + m + 100 wrt a?
-82*a*m - 2*a
Find the second derivative of -176*b**4*x**2 + b**4 + 2*b*x - 3*b - 12*x**2 wrt b.
-2112*b**2*x**2 + 12*b**2
Find the third derivative of -2*b**2*o**4 - 8847*b**2*o**2 - 2*b**2 - 195*b*o**4 wrt o.
-48*b**2*o - 4680*b*o
What is the second derivative of 16*f**3*h**2*n - f**3*h**2 - f**3*n + 29*f*h + f*n - 3*h**2*n - 3 wrt f?
96*f*h**2*n - 6*f*h**2 - 6*f*n
What is the second derivative of 5*c**3*s**2*y**2 - 230*c**3*s**2 + c**3*s*y**2 + 11*c**3*s*y + 3*c**3*y**2 wrt s?
10*c**3*y**2 - 460*c**3
Differentiate -471*x**2 - 2*x - 19183 wrt x.
-942*x - 2
Differentiate 383*g*p**3 + 2*g*p**2 + 826*g - 2*p**2 wrt p.
1149*g*p**2 + 4*g*p - 4*p
What is the third derivative of -768*p**3*w**3 + 38*p**2*w**3 - 7*p**2*w**2 wrt p?
-4608*w**3
Find the third derivative of 146*f**3*r**3 + f**3*r**2*y**2 + 5*f**2*r*y - f*r*y**2 + 2*f*y - 13*r**3*y**2 wrt f.
876*r**3 + 6*r**2*y**2
Differentiate -2*g**2*p**2 + 455*g**2 + 585*g*p**2 with respect to p.
-4*g**2*p + 1170*g*p
Find the first derivative of 3*c*w*x + 40*c*x + 12*c + 16*w**4 wrt w.
3*c*x + 64*w**3
Find the first derivative of 2*g**3*m + 2021*g**3 - 376*g**2*m**2 wrt m.
2*g**3 - 752*g**2*m
What is the second derivative of -3070*p**2*q**2 - 2321*p**2*q - 2*p**2 + 2*q wrt q?
-6140*p**2
Differentiate h**2*t + 505*h**2 - 348*t with respect to h.
2*h*t + 1010*h
Find the third derivative of 41*c**2*h**3 + c**2*h**2 + 2*c*h**4 - 2*c*h**3 + 84*c*h**2 wrt h.
246*c**2 + 48*c*h - 12*c
Find the second derivative of -364*g**2 - 578*g + 2 wrt g.
-728
Find the third derivative of 8602*m**6 + 7544*m**2.
1032240*m**3
Find the second derivative of 56*d**2*k**2*m**2 - 3*d**2*k*m**2 - 4*d**2*k + 20*d**2 + 2*k**2*m**2 wrt k.
112*d**2*m**2 + 4*m**2
Find the second derivative of -3*m**2*t**2*u + 367*m**2*t**2 + 12*m**2*t*u - 18*m**2*t + t**2*u - 3*t*u wrt t.
-6*m**2*u + 734*m**2 + 2*u
What is the derivative of 6*h*m + 81*h*n + 7*m*n**2 + n**2 wrt m?
6*h + 7*n**2
Find the third derivative of -2059*v**3 - 3*v**2 - 483 wrt v.
-12354
Differentiate 4*c**2*f*q*s + 2*c**2*f*s - 2*c**2 + 5*c*f*q - c*f*s - s with respect to q.
4*c**2*f*s + 5*c*f
Find the third derivative of -4*n**4 - 92*n**3*w**3 - 5*n**2*w + 163*w**3 wrt n.
-96*n - 552*w**3
What is the third derivative of -447*s**6 + 17*s**2 + 3*s?
-53640*s**3
Find the first derivative of -6*r**3*z + 127*r**3 - 67*z**2 wrt z.
-6*r**3 - 134*z
What is the first derivative of 9591*a**2*t**2 + 5*t**2 - 866*t wrt a?
19182*a*t**2
Find the second derivative of -833*u**2 + 26*u.
-1666
Find the third derivative of 64*i**5 - 246*i**2 wrt i.
3840*i**2
What is the first derivative of 41*j**3*r + 3041*j**3 + 14*j*r**2 wrt r?
41*j**3 + 28*j*r
Find the third derivative of 29*u**3 + 152*u**2.
174
Differentiate -16*a**2 + a + 38 wrt a.
-32*a + 1
What is the third derivative of -12820*w**3 - 11*w**2 - 9*w + 1 wrt w?
-76920
Find the third derivative of -96*g**3 + 131*g**2 wrt g.
-576
What is the third derivative of b*q*x**3 - 5*b*x**3 + b*x**2 - b + 22*q - 16*x**3 wrt x?
6*b*q - 30*b - 96
What is the third derivative of 55*y**4 - y**2 + 26*y?
1320*y
What is the second derivative of -3124*o**3 - 5267*o wrt o?
-18744*o
What is the second derivative of 24*j**4*t**2 + 4*j**2*t**2 + 711*j*t**2 - j wrt j?
288*j**2*t**2 + 8*t**2
What is the derivative of -167*y - 42?
-167
What is the second derivative of 13*c**3*h**2 + 40*c**3*h - 3*c**3 - 41*c**2*h**3 - c**2*h wrt h?
26*c**3 - 246*c**2*h
Find the second derivative of -2316*z**2 + 1365*z.
-4632
What is the first derivative of 159*w + 13 wrt w?
159
What is the first derivative of -55*l*z - 3*l - | {
"pile_set_name": "DM Mathematics"
} |
2*x. Let s(g) = -g**2 + 5. Let i be s(x). Suppose -p + i*p - 52 = -q, -2*p + 44 = 5*q. Is p a multiple of 5?
False
Suppose -75 = 8*k - 3*k. Let b be (k/10)/((-1)/2). Suppose -48 = -3*a + b*p, -2*a + 27 = -p + 4*p. Is a a multiple of 15?
True
Let l(s) = -5*s + 4. Let o be l(-8). Does 16 divide (-1 + 2 - 4) + o?
False
Let a = 18 - 9. Is 13 a factor of (a/(-6))/((-3)/108)?
False
Let d = 393 + -276. Is 39 a factor of d?
True
Suppose -3*w + 18 = -0*w. Suppose m + 75 = w*m. Does 10 divide m?
False
Let z = 21 + -7. Does 13 divide z?
False
Let o(g) = 13*g**2 + 2*g - 1. Let u be o(1). Let l = -25 + 26. Suppose -l + u = y. Does 13 divide y?
True
Suppose -m + 117 = -3*t, t = -3*m + 510 - 139. Does 41 divide m?
True
Let n(d) = 2*d**2 - 26*d + 8. Is n(15) a multiple of 34?
True
Suppose 5*w + 2*y - 9 = 0, -4*w + 2*y = w - 21. Suppose -4*n - i + 129 = 2*i, w*n - 5*i - 133 = 0. Is 12 a factor of n?
True
Suppose -2*k + 5*k - 225 = 0. Let x = k + -18. Is 19 a factor of x?
True
Let y = -91 + 157. Is 11 a factor of y?
True
Suppose g = -2*u + 2 + 2, -3*g = 5*u - 12. Suppose u*o + 132 = -4*o. Does 16 divide 4 + -5 - 1*o?
True
Let w(p) = p. Let s be w(6). Let r be 11/2 - (-3)/s. Suppose 4*j - r - 10 = 0. Is j even?
True
Let l be 3 + 3*(-6)/(-9). Suppose 0 = 5*s - 4*n - 83, -l*s - 2*n + 4*n = -79. Does 7 divide s?
False
Let d(p) = p**3 - 6*p**2 - 6*p - 5. Let i be d(7). Suppose i*j - 52 = -0*j. Is 13 a factor of j?
True
Suppose -5*r - 3 = 2*s - 0*r, -r = s. Suppose -5 = -3*x - a - 2, 15 = -5*a. Does 8 divide x*s*(-11)/(-2)?
False
Let s be 2/4 - (-20)/8. Suppose 13 = m - b - 13, 0 = -5*m - s*b + 146. Does 19 divide m?
False
Let x(f) = f**3 - 4*f - 2. Is x(4) a multiple of 16?
False
Let h = 10 - 9. Is 3/h + 11 + -4 a multiple of 6?
False
Suppose 5*g = -d - 2*d + 102, 51 = d - 4*g. Does 13 divide d?
True
Suppose 4*k = 3*q - 0*k - 157, 0 = 4*q + k - 241. Is 30 a factor of q?
False
Suppose 2 + 3 = -5*h. Let v be (-7)/(h + 8/10). Let n = 54 - v. Is n a multiple of 10?
False
Let p(g) = -g**3 + 7*g**2 - 3*g - 3. Let o be p(6). Let x be (0 + 6/o)*5. Suppose x*h - 8 = 22. Is 14 a factor of h?
False
Suppose -1 = -4*d + 3. Suppose 5*f - 3*w = -2*w - 14, d = -w. Is 4 a factor of 1*-8*f/6?
True
Let m = 6 + 28. Suppose 5*x + m = 119. Does 11 divide x?
False
Suppose 0 = 5*a - 5*w - 5, 0*a = 3*a + 3*w - 9. Suppose -a*o + 0*o = -54. Is 22 a factor of o?
False
Suppose -4*b = 3*o + o - 40, b + 5 = 2*o. Suppose 2*k + 10 = 5*x - 3*k, -b*k + 10 = 0. Suppose -5*n + 3*n = -2, -j - x*n = -30. Is 10 a factor of j?
False
Let h(n) = -n**2 - 2*n + 12. Let f be h(0). Let d = f - 6. Does 3 divide d?
True
Suppose -2*u + 23 + 81 = 0. Is u a multiple of 15?
False
Suppose -b - 2*b = 2*h - 111, 9 = -3*b. Does 15 divide h?
True
Let d = 5 + -2. Suppose d*b = -h + 3, -h - 2*b = -0*h - 8. Is 9 a factor of h?
True
Let y be (2*-1)/((-5)/40). Suppose 0*l = -l - 3*i + 36, y = 4*i. Is l a multiple of 4?
True
Let h(l) = l**3 - 2*l - 1. Let b be h(2). Suppose -1 = -b*d + 5. Suppose 5*p - 2*n - 73 = 0, -d*n + 61 = 5*p - n. Does 4 divide p?
False
Let c(n) = -4*n**2 - 16*n - 3. Let m(i) = i**2 + 5*i + 1. Let o(l) = -2*c(l) - 7*m(l). Let r be o(4). Does 5 divide r*5*(-4)/(-6)?
True
Suppose 0*s + 8 = 4*s. Suppose s*k + 2*k - 44 = 0. Is 4 a factor of k?
False
Let a = 111 - 60. Suppose 0 = -5*z - w + 49, 6*z - a = z + w. Is z a multiple of 10?
True
Suppose -69 = -2*o - 3. Does 15 divide o?
False
Let j(v) = -v**3 + 5*v**2 + 5*v + 2. Let z be j(6). Is 58/7 + z/14 a multiple of 8?
True
Suppose 5*g - 15 = 0, 0 = 4*i - 2*g - 166 - 36. Suppose i = a + a. Is a a multiple of 13?
True
Let w(o) be the first derivative of o**4/4 + o**3/3 + 55*o + 5. Does 11 divide w(0)?
True
Does 33 divide (98 - (-20)/4)*1?
False
Suppose 0 = 4*b - 4*g - 12, -b + 36 = b + 4*g. Let j be 2 + -5 + b*1. Suppose -3*a + 57 = a + j*u, -3 = -a + u. Is 5 a factor of a?
False
Suppose -7*v + 9*v = 6. Suppose -h + n = -15 - v, 2*h - 3*n = 39. Is 5 a factor of h?
True
Does 14 divide (36/(-3))/3 + 26?
False
Let m = 8 - -27. Let c = m - 25. Suppose p - c = 1. Is p a multiple of 11?
True
Let r(d) = -2*d**3 + 2*d + 2*d**3 - 3 + d**2 + 4*d**3 - 3*d**2. Let p be r(2). Suppose -152 = -3*c + 2*t, p + 43 = c - 5*t. Does 24 divide c?
True
Suppose 0 = -4*u - 0*u + 28. Let y be (u - 0)*6/(-6). Let c = y - -23. Does 7 divide c?
False
Suppose -3*v + 4*v = -4*s + 124, 4*s = -3*v + 364. Does 18 divide v?
False
Suppose -5*x + 6 = q - 20, 2*q = -5*x + 57. Suppose o - 74 = q. Does 26 divide o?
False
Let u be (1029/6)/(-7)*-2. Suppose n - u = z + 3*z, 5*n - z = 321. Is n a multiple of 20?
False
Let q(p) = -13*p - 7. Let o be q(-11). Let s = 196 - o. Is 26 a factor of s?
False
Suppose -4*o - o = -5*g + 85, 39 = 2*g - 3*o. Is (8/g)/(4/30) even?
False
Let z = -22 + 174. Is 19 a factor of z?
True
Let k(n) = n**2 - 8*n + 4. Let f be k(8). Suppose f*g = 2*z + 42, -g + 48 = 3*g + 4*z. Does 11 divide g?
True
Let z(q) = 2*q**3 - 2*q**2 + 2*q - 4. Let g be (-4)/18 + 58/18. Does 19 divide z(g)?
True
Suppose 2*m = k - 177, -2*k + 2*m = 5*m - 375. Let o = 275 - k. Suppose -4*g + o = -5*x, -g + x = 2*x - 14. Is g a multiple of 9?
True
Let m be (-12)/(-5) + 4/(-10). Let a be -6*(3 + -2)/(3/(-6)). Suppose 0*j = -m*j + a. Is 6 a factor of j?
True
Let j(u) = 2*u + 4. Let b be 122/14 + 10/35. Is 6 a factor of j(b)?
False
Let g(f) = 3*f - 8. Suppose -2*n - 40 = -6*n. Is g(n) a multiple of 11?
True
Let v = -13 + 92. Let w = v + 9. Does 18 divide w?
False
Let c(r) = -2*r + 427. Does 17 divide c(0)?
False
Suppose -2*m - 2*w - 12 = 0, 4*m - m + 4*w + 22 = 0. Let g be m/(-8) - 1281/(-12). Suppose 4*b - 114 = -3*x, b = -4*x + 45 + g. Does 13 divide x?
False
Is 15 a factor of ((-87)/(-6)*2)/1?
False
Let g be -2*(1 + (-10)/4). Suppose 3*k = -2*k. Does 11 divide 11/g*(3 + k)?
True
Let l be ((-9)/6)/(6/16). Let x = -3 + l. Let m = x - -11. Is 3 a factor of m?
False
Suppose k - 4*l - 39 = 0, -2*k = -l - 2*l - 98. Let w = k - 39. Is 11 a factor of w?
False
Let p(v) = -8*v + 5 - 6 - v - 1. Is p(-2) a multiple of 16?
True
Let y(q) = 2*q**2 - 6*q - 9. Let u(v) = 2*v**2 - 5*v - 8. Let d(f) = 7*u(f) - 6*y(f). Is 9 a factor of d(-3)?
False
Let w(k) = k**3 + 8*k**2 - 3*k + 5. Let l be w(-7). Suppose 6*n = 3*n - l. Let b = n - -41. Is b a multiple of 9?
False
Suppose -4*q = -5*h - 54, 3*q + 2*h - 56 = -2*h. Suppose 4*x - q = -4. Is x even?
False
Does 4 divide (-80)/(-3)*48/40?
True
Suppose -2*t - 70 = -w - t, 0 = 3*w + 5*t - 226. Is w a multiple of 12?
True
Let w(j) = 23*j**3 + j**2 - j + 1. Does 21 divide w(1)?
False
Suppose -2*f + 124 = 2*f. Is f a multiple of 9?
False
Suppose 527 = 5*l - 448. Is l a multiple of 25?
False
Let s = 420 + -247. Suppose -253 = -3*q + 2*h - 3*h, -2*q + s = 5*h. Suppose 2*l = 5*l - q. Does 24 divide l?
False
Suppose 4*f + l - 236 = -0*l, 5*f - 5*l - 320 = 0. Is f a multiple of 10?
True
Suppose 4*j - 6 - 2 = 0. Suppose 0 = -g - j*m + 33, 6*g - g = -m + 156. Does 13 divide g?
False
Let z(q) = q**2 + 5*q - 2. Let p be z(-5). Does 16 divide -3 + -70*1/p?
True
Suppose -3*m - y + 328 = 0, -544 = -5*m - 0*y + y. Is 14 a factor of m?
False
Let i = 41 - 21. Is i a multiple of 5?
True
Suppose -13 = -5*j + 47. Suppose 3*b - 48 = j. Does 15 divide b?
False
Let i(m) = -87*m + 5. Does 38 divide i(-3)?
True
Suppose 7 = -5*z + 32. Suppose -z*x + 2 = -138. Does 13 divide x?
False
Let t(r) = 5*r**2 + 4*r - 11. Let l(v) = -11*v**2 - 9*v + 23. Let a(f) = 4*l(f) + 9*t(f). Is a(7) a multiple of 11?
False
Suppose 0 = -4*o + 5*q - 7, 0 = -2*o - 2*q + 10 - 0. Suppose 0 = -4*n - s + 66, -o*s = 3*n - 0*n - 52. Is n a multiple of 16?
True
Let a = -49 - -59. Is a a multiple of 2?
True
Let b = 39 + 43. Is 5 a factor of b?
False
Let c(t) = -10*t. Let s be (10/8)/(1/4). Let a be ((-5)/s)/(1/3). Is c(a) a multiple of 13?
False
Suppose -4*a + 35 = 3*m, -5*m + 3*a + 3 = -7. Let b = m + 16. Does 5 divide b?
False
Let t(z) = -z**3 - 4*z**2 - 2*z + 2. Let m be t(-2). Does 12 divide (32/6)/(m/(-9))?
True
Let w = 43 + -20. Is 4 a factor of w?
False
Let p(n) = -n + 8. Let c be p(-6). Suppose 4*l + 6 = c. Suppose 13 + 31 = l*h. Is 22 a factor of h?
True
Suppose 3*r + 259 + 92 = 0. Let q = r + 192. Does 17 divide q?
False
Suppose -89 = -6*y + 271. Is 15 a factor of y?
True
Is (1 - 2)*-25 + 4 a multiple of 3?
False
Let s(r) be th | {
"pile_set_name": "DM Mathematics"
} |
sixth root of 2851781 to the nearest integer?
12
What is the fifth root of 1162217 to the nearest integer?
16
What is 9135095 to the power of 1/2, to the nearest integer?
3022
What is the cube root of 1245074 to the nearest integer?
108
What is 267621 to the power of 1/3, to the nearest integer?
64
What is 562402 to the power of 1/2, to the nearest integer?
750
What is 8608879 to the power of 1/8, to the nearest integer?
7
What is the square root of 633044 to the nearest integer?
796
What is 5858755 to the power of 1/4, to the nearest integer?
49
What is the cube root of 1955891 to the nearest integer?
125
What is the third root of 21078025 to the nearest integer?
276
What is 33227939 to the power of 1/10, to the nearest integer?
6
What is the fifth root of 1967061 to the nearest integer?
18
What is the seventh root of 340626 to the nearest integer?
6
What is 3207798 to the power of 1/5, to the nearest integer?
20
What is the tenth root of 4841100 to the nearest integer?
5
What is 258191 to the power of 1/2, to the nearest integer?
508
What is 9625249 to the power of 1/2, to the nearest integer?
3102
What is the eighth root of 40194 to the nearest integer?
4
What is the square root of 399820 to the nearest integer?
632
What is the third root of 2989985 to the nearest integer?
144
What is 1649230 to the power of 1/3, to the nearest integer?
118
What is 2502197 to the power of 1/9, to the nearest integer?
5
What is 2743600 to the power of 1/10, to the nearest integer?
4
What is 6757869 to the power of 1/2, to the nearest integer?
2600
What is 52782 to the power of 1/4, to the nearest integer?
15
What is 2930518 to the power of 1/2, to the nearest integer?
1712
What is 6407938 to the power of 1/5, to the nearest integer?
23
What is 3338330 to the power of 1/7, to the nearest integer?
9
What is 1227993 to the power of 1/2, to the nearest integer?
1108
What is 699897 to the power of 1/4, to the nearest integer?
29
What is 401795 to the power of 1/5, to the nearest integer?
13
What is the cube root of 32548677 to the nearest integer?
319
What is the square root of 937943 to the nearest integer?
968
What is 7681245 to the power of 1/3, to the nearest integer?
197
What is the square root of 24772020 to the nearest integer?
4977
What is 32801451 to the power of 1/2, to the nearest integer?
5727
What is the square root of 807337 to the nearest integer?
899
What is 22233568 to the power of 1/3, to the nearest integer?
281
What is 5563358 to the power of 1/2, to the nearest integer?
2359
What is 84790 to the power of 1/3, to the nearest integer?
44
What is the third root of 197519 to the nearest integer?
58
What is 8567101 to the power of 1/2, to the nearest integer?
2927
What is the third root of 3524087 to the nearest integer?
152
What is 379577 to the power of 1/2, to the nearest integer?
616
What is the eighth root of 13127781 to the nearest integer?
8
What is the third root of 965554 to the nearest integer?
99
What is 201035 to the power of 1/5, to the nearest integer?
11
What is 3657472 to the power of 1/6, to the nearest integer?
12
What is 1363383 to the power of 1/8, to the nearest integer?
6
What is the seventh root of 221337 to the nearest integer?
6
What is 738908 to the power of 1/4, to the nearest integer?
29
What is the seventh root of 840202 to the nearest integer?
7
What is 449121 to the power of 1/8, to the nearest integer?
5
What is 418642 to the power of 1/2, to the nearest integer?
647
What is 757850 to the power of 1/2, to the nearest integer?
871
What is the tenth root of 9997888 to the nearest integer?
5
What is the tenth root of 10561237 to the nearest integer?
5
What is the cube root of 225466 to the nearest integer?
61
What is 2839499 to the power of 1/4, to the nearest integer?
41
What is the ninth root of 382356 to the nearest integer?
4
What is 1519718 to the power of 1/8, to the nearest integer?
6
What is the seventh root of 434804 to the nearest integer?
6
What is 8732 to the power of 1/9, to the nearest integer?
3
What is 1821769 to the power of 1/2, to the nearest integer?
1350
What is 1915783 to the power of 1/2, to the nearest integer?
1384
What is the third root of 562729 to the nearest integer?
83
What is the cube root of 229448 to the nearest integer?
61
What is 1524288 to the power of 1/4, to the nearest integer?
35
What is the square root of 457897 to the nearest integer?
677
What is the eighth root of 32593 to the nearest integer?
4
What is 12460982 to the power of 1/2, to the nearest integer?
3530
What is the fourth root of 22095768 to the nearest integer?
69
What is 228250 to the power of 1/3, to the nearest integer?
61
What is 48274 to the power of 1/8, to the nearest integer?
4
What is 234077 to the power of 1/2, to the nearest integer?
484
What is 387891 to the power of 1/2, to the nearest integer?
623
What is 521505 to the power of 1/2, to the nearest integer?
722
What is 20530 to the power of 1/3, to the nearest integer?
27
What is the cube root of 259960 to the nearest integer?
64
What is the square root of 328134 to the nearest integer?
573
What is the square root of 731885 to the nearest integer?
856
What is 28106735 to the power of 1/4, to the nearest integer?
73
What is the tenth root of 450366 to the nearest integer?
4
What is 196381 to the power of 1/2, to the nearest integer?
443
What is the cube root of 1382466 to the nearest integer?
111
What is 13994151 to the power of 1/3, to the nearest integer?
241
What is 93167 to the power of 1/2, to the nearest integer?
305
What is the square root of 123857 to the nearest integer?
352
What is 218856 to the power of 1/2, to the nearest integer?
468
What is the square root of 7525367 to the nearest integer?
2743
What is 586760 to the power of 1/9, to the nearest integer?
4
What is the cube root of 1039903 to the nearest integer?
101
What is 176566 to the power of 1/3, to the nearest integer?
56
What is the square root of 578958 to the nearest integer?
761
What is 24155278 to the power of 1/3, to the nearest integer?
289
What is the square root of 641981 to the nearest integer?
801
What is 545511 to the power of 1/8, to the nearest integer?
5
What is the cube root of 12079 to the nearest integer?
23
What is the fifth root of 222424 to the nearest integer?
12
What is the third root of 8258557 to the nearest integer?
202
What is 9667648 to the power of 1/3, to the nearest integer?
213
What is 15617115 to the power of 1/6, to the nearest integer?
16
What is 287926 to the power of 1/7, to the nearest integer?
6
What is 1058219 to the power of 1/10, to the nearest integer?
4
What is 927708 to the power of 1/6, to the nearest integer?
10
What is the cube root of 3206608 to the nearest integer?
147
What is the square root of 160265 to the nearest integer?
400
What is the third root of 723792 to the nearest integer?
90
What is the eighth root of 99200 to the nearest integer?
4
What is the third root of 63859 to the nearest integer?
40
What is the fourth root of 199564 to the nearest integer?
21
What is the seventh root of 243928 to the nearest integer?
6
What is the seventh root of 726727 to the nearest integer?
7
What is the fifth root of 544685 to the nearest integer?
14
What is the square root of 2138273 to the nearest integer?
1462
What is 5567537 to the power of 1/2, to the nearest integer?
2360
What is 964568 to the power of 1/2, to the nearest integer?
982
What is 1795644 to the power of 1/5, to the nearest integer?
18
What is 346895 to the power of 1/2, to the nearest integer?
589
What is the square root of 36310 to the nearest integer?
191
What is the cube root of 203663 to the nearest integer?
59
What is the third root of 1628111 to the nearest integer?
118
What is the third root of 4893588 to the nearest integer?
170
What is 3973089 to the power of 1/3, to the nearest integer?
158
What is 244923 to the power of 1/3, to the nearest integer?
63
What is the square root of 553651 to the nearest integer?
744
What is the square root of 13435328 to the nearest integer?
3665
What is the square root of 1325858 to the nearest integer?
1151
What is 3291000 to the power of 1/3, to the nearest integer?
149
What is the square root of 24003048 to the nearest integer | {
"pile_set_name": "DM Mathematics"
} |
63 - 1561?
-14ba
In base 16, what is 1f + 154c?
156b
In base 5, what is -112 - 4023?
-4140
In base 6, what is 550541 - 14?
550523
In base 10, what is -483661 + 1?
-483660
In base 13, what is -2 - 51bc?
-51c1
In base 12, what is 375 - -a3a?
11b3
In base 7, what is 526 + -615?
-56
In base 3, what is -1110 - -2022211221?
2022210111
In base 5, what is -40 + -1204411?
-1210001
In base 10, what is -470 - -7?
-463
In base 13, what is 43 - 5b7?
-574
In base 5, what is -123321 + 2010?
-121311
In base 16, what is 1 - -570be?
570bf
In base 6, what is 144254 + 4?
144302
In base 7, what is 3 + 16434653?
16434656
In base 5, what is 432303 - -10?
432313
In base 10, what is 2255 + -7?
2248
In base 9, what is 85 + 6651?
6746
In base 4, what is 120210 + 22?
120232
In base 16, what is -13f59 - -7?
-13f52
In base 10, what is -117508 + -3?
-117511
In base 3, what is -11212222 + 200012?
-11012210
In base 12, what is a + -10672?
-10664
In base 12, what is 0 + -a359?
-a359
In base 13, what is -2758a6 - 1?
-2758a7
In base 12, what is b79 - 5a?
b1b
In base 16, what is 49d4 - -b?
49df
In base 13, what is 1cba7 - 4?
1cba3
In base 4, what is -1020 - 3232?
-10312
In base 2, what is -1010010011001001 + 1100?
-1010010010111101
In base 6, what is 3 + 433123?
433130
In base 11, what is -616a3 + -5?
-616a8
In base 3, what is 11 + 20100002?
20100020
In base 10, what is 9 - 439067?
-439058
In base 4, what is 1013030200 - 2?
1013030132
In base 9, what is -735 + -10?
-745
In base 15, what is 15bd0 - a?
15bc5
In base 4, what is -13011 - 3212?
-22223
In base 6, what is -5 + -11342?
-11351
In base 6, what is -55023203 + 0?
-55023203
In base 10, what is -170533 - 16?
-170549
In base 8, what is -17445 + 24?
-17421
In base 16, what is -640 + -9?
-649
In base 12, what is -3 + -aa7b?
-aa82
In base 2, what is -100 - -11001001110100?
11001001110000
In base 6, what is 15331 - 3044?
12243
In base 15, what is 48172 - 5?
4816c
In base 15, what is 41 - -257?
298
In base 11, what is 2 + -14165?
-14163
In base 5, what is -1330233 + -3?
-1330241
In base 7, what is 22466165 + -1?
22466164
In base 8, what is -4 + 43073?
43067
In base 13, what is 1 - -1c677?
1c678
In base 9, what is 28 - -15240?
15268
In base 16, what is 9f41e - 3?
9f41b
In base 5, what is 10 + 240320?
240330
In base 8, what is -26 + 504?
456
In base 9, what is -534 - 1841?
-2475
In base 16, what is e + 164?
172
In base 15, what is -28 + -9d3?
-a0b
In base 7, what is 36451 - -2?
36453
In base 2, what is -1001 - -101111101101010111?
101111101101001110
In base 15, what is -3 + -441c?
-4420
In base 13, what is -149 - 71?
-1ba
In base 2, what is -1101010 + 100010010?
10101000
In base 12, what is 38a + -4?
386
In base 2, what is -11 + -10001001011010?
-10001001011101
In base 2, what is -101010 + 10000001001110?
10000000100100
In base 7, what is 0 - 400134?
-400134
In base 12, what is -2 + -191b8?
-191ba
In base 14, what is 141 + 98?
1d9
In base 4, what is -2 + -133213332?
-133220000
In base 15, what is -12aa + -1?
-12ab
In base 4, what is -102 + 230302?
230200
In base 3, what is 202102201100 - 12?
202102201011
In base 8, what is -24 + 2655?
2631
In base 3, what is -11101222020 - -12?
-11101222001
In base 16, what is -1d - a47?
-a64
In base 5, what is 31340400 + -10?
31340340
In base 14, what is 11117 + 2?
11119
In base 2, what is -100 - 111001011011111000?
-111001011011111100
In base 14, what is 1872dd + -1?
1872dc
In base 10, what is -4 - 14344?
-14348
In base 7, what is 1 - 6236114?
-6236113
In base 5, what is -110122201 - 1?
-110122202
In base 13, what is -8a19 - -24?
-89c5
In base 11, what is -397a + -31?
-3a00
In base 8, what is 34304 + -24?
34260
In base 3, what is 12 + -21221201?
-21221112
In base 7, what is -1152601 + 3?
-1152565
In base 4, what is 1103003 - 12?
1102331
In base 10, what is -65 + -1172?
-1237
In base 11, what is -104 + -2025?
-2129
In base 3, what is 111212021010 + -1?
111212021002
In base 14, what is 4ab3b + 4?
4ab41
In base 10, what is 21324 - -6?
21330
In base 11, what is 91 - 29a9?
-2918
In base 8, what is 4622 + -26?
4574
In base 15, what is -d639 - d?
-d647
In base 12, what is -28 + -17551?
-17579
In base 9, what is 18532255 - 5?
18532250
In base 2, what is 111011101011001111111 - -11?
111011101011010000010
In base 3, what is 10 - 2120220110?
-2120220100
In base 5, what is -4 - 44041011?
-44041020
In base 11, what is -293 + 108?
-186
In base 10, what is 2471199 - -1?
2471200
In base 10, what is 0 + -35947?
-35947
In base 8, what is -25040 - -165?
-24653
In base 16, what is 16e + 7?
175
In base 14, what is 16a7c + -9?
16a73
In base 15, what is 1 - -9144?
9145
In base 14, what is -608 - -19?
-5cd
In base 2, what is -1 + -1111101010011001?
-1111101010011010
In base 11, what is -3 + -34259?
-34261
In base 10, what is 315118 - 5?
315113
In base 8, what is -5 + -664416?
-664423
In base 9, what is 404 - 1158?
-654
In base 14, what is -3 + -7422?
-7425
In base 10, what is 1 + -117618?
-117617
In base 7, what is -16 - -555?
536
In base 11, what is 843196 - 5?
843191
In base 8, what is -11120 + -73?
-11213
In base 3, what is -201121 - -110?
-201011
In base 15, what is -10691 - -2?
-1068e
In base 4, what is 10112221 - -3?
10112230
In base 7, what is -2 - -2164?
2162
In base 2, what is 10011111100000101100 + 101?
10011111100000110001
In base 13, what is -13cc26 + 4?
-13cc22
In base 9, what is 2 + 3037?
3040
In base 14, what is d30 + 1b?
d4b
In base 15, what is -1408e - 6?
-14095
In base 14, what is -3 + 3895?
3892
In base 2, what is -111111110 - 10010010?
-1010010000
In base 8, what is 5 + 2110?
2115
In base 6, what is 55415 + 424?
100243
In base 10, what is 26 - 2183?
-2157
In base 6, what is -51 + -30511?
-31002
In base 15, what is 18e1 + -1c?
18c4
In base 10, what is -11 + 1431?
1420
In base 3, what is -1 + 101200110?
101200102
In base 9, what is -247 + 380?
132
In base 3, what is -200022 + 200?
-122122
In base 5, what is -2300 + -1043?
-3343
In base 13, what is 251 - 137?
117
In base 11, what is 4 + -8122?
-8119
In base 4, what is -2102310 + 320?
-2101330
In base 7, what is -44 + 415630?
415553
In base 14, what is -3 - -4844?
4841
In base 4, what is 11 + -3112311?
-3112300
In base 7, what is 0 - 111361?
-111361
In base 10, what is -96134 + 3?
-96131
In base 8, what is -122 - -64?
-36
In base 7, what is -204056 + -4?
-204063
In base 8, what is -75116 + 1?
-75115
In base 9, what is -248 + 7?
-241
In base 5, what is -111320 - 13?
-111333
In base 5, what is -11030 + -1?
-11031
In base 12, what is 2 - -36b60?
36b62
In base 10, what is 7 + -1302?
-1295
In base 4, what is 31100122 - -11?
31100133
In base 14, what is -26 + -1ac?
-1d4
In base 5, what is -14 + -243243?
-243312
In base 9, what is 4 + -8371?
-8366
In base 14, what is 0 - 86c2?
-86c2
In base 3, what is -1102011102 - 100?
-1102011202
In base 12, what is -b3380 + 2?
-b337a
In base 3, what is 11022011 - 220212?
10101022
In base 8, what is 32277 - 163?
32114
In base 2, what is -11110 - 1000011010011?
-1000011110001
In base 15, what is -4db4 + -29?
-4ddd
In base 10, what is -9 - -158376?
158367
In base 11, what is 1a97948 + -3?
1a97945
In base 8, what is 30733 + 4?
30737
In base 10, what is 1023582 - -4?
1023586
In base 6, what is 5330052 + -4?
5330044
In base 6, what is 41335034 - 1?
41335033
In base 14, what is -351d23 + 4?
-351d1d
In base 13, what is -88 + 3536?
347b
In base 15, what is -2e - 110?
-13e
In base 2, what is -1 - -10100011100001?
10100011100000
In base 7, what is -25646 - 24?
-26003
In base 11, what is -225a + -4?
-2263
In base 2, what is -1101000111 + 111?
-1101000000
In base 15, what is -1 + -a18?
-a19
In base 3, what is -2 + 101222211?
101222202
In base 8, what is 272 - -3334?
3626
In base 15, what is 1e80 - 33?
1e4c
In base 7, what is -5 - 424510?
-424515
In base 6, what is -124 + -1024?
-1152
In base 13, what is -376cb - -3?
-376c8
In base 6, what is -5 + 10553311?
10553302
In base 6, what is 3252402 + 3?
3252405
In base 16, what is -91f42 - 1?
-91f43
In base 10, what is 8 + -15920?
-15912
In base 9, what is -3 - -344820?
344816
In base 12, what is 2 + 2616?
2618
In base 3, what is 1200100 - 20221?
1102102
In base 4, what is 1331122 + 12?
1331200
In base 14, what is 805 + 86?
88b
In base 16, what is 4 - -d3690?
d3694
In base 6, what is 123 - 42 | {
"pile_set_name": "DM Mathematics"
} |
t common multiple of 60 and 3960?
3960
What is the common denominator of 39/2 and -62/2661?
5322
What is the smallest common multiple of 22 and 86?
946
Calculate the common denominator of -38/939 and -61/303.
94839
What is the common denominator of -101/250 and 101/1000?
1000
What is the common denominator of -101/40 and -121/24?
120
What is the lowest common multiple of 170 and 610?
10370
Calculate the smallest common multiple of 14 and 2768.
19376
Calculate the lowest common multiple of 288 and 18.
288
What is the common denominator of 65/18 and 139/126?
126
Calculate the lowest common multiple of 33 and 18.
198
Calculate the common denominator of -49/13 and -40/1391.
1391
What is the lowest common multiple of 3732 and 10?
18660
What is the least common multiple of 8 and 1124?
2248
Calculate the least common multiple of 2820 and 72.
16920
Calculate the least common multiple of 176 and 38.
3344
Calculate the common denominator of -11/189 and -80/147.
1323
Find the common denominator of 47/42 and 53/2.
42
What is the common denominator of 1/63 and -77/30?
630
Calculate the common denominator of -143/24 and 101/78.
312
Calculate the common denominator of 211/210 and 89/2310.
2310
Find the common denominator of -91/24 and 91/138.
552
Calculate the lowest common multiple of 3 and 69.
69
What is the least common multiple of 103 and 5?
515
What is the common denominator of 121/2580 and 1/156?
33540
Calculate the smallest common multiple of 8 and 20.
40
What is the common denominator of -107/14 and 47/6?
42
Calculate the least common multiple of 2 and 3.
6
Calculate the lowest common multiple of 42 and 70.
210
What is the least common multiple of 344 and 688?
688
What is the lowest common multiple of 221 and 6?
1326
Calculate the common denominator of 8/135 and 22/243.
1215
What is the lowest common multiple of 2118 and 2?
2118
What is the smallest common multiple of 420 and 45?
1260
Calculate the least common multiple of 1260 and 2940.
8820
What is the smallest common multiple of 184 and 12?
552
Calculate the least common multiple of 11 and 3909.
42999
Find the common denominator of -9/4 and 37/43.
172
Find the common denominator of 169/84 and 151/84.
84
Calculate the common denominator of 43/300 and -1/20.
300
What is the common denominator of -37/392 and -127/154?
4312
Calculate the lowest common multiple of 1410 and 2679.
26790
What is the common denominator of 52/19 and -1/365?
6935
Find the common denominator of -35/402 and 43/2.
402
Find the common denominator of -167/126 and -70/9.
126
Calculate the lowest common multiple of 324 and 324.
324
What is the smallest common multiple of 72 and 32?
288
Find the common denominator of 81/1450 and -69/1160.
5800
Calculate the lowest common multiple of 8580 and 7020.
77220
Calculate the common denominator of -67/1377 and 56/405.
6885
What is the common denominator of -179/3000 and 173/30?
3000
Calculate the common denominator of -109/1364 and 33/248.
2728
Calculate the smallest common multiple of 14 and 182.
182
What is the smallest common multiple of 14 and 694?
4858
Calculate the smallest common multiple of 27 and 243.
243
Calculate the smallest common multiple of 91 and 195.
1365
Find the common denominator of 5/66 and 50/561.
1122
Find the common denominator of -101/306 and 33/4.
612
Calculate the common denominator of 143/12 and 51/38494.
230964
What is the lowest common multiple of 30 and 72?
360
Calculate the common denominator of 113/10 and -21/2726.
13630
Find the common denominator of -127/18 and 23/554.
4986
Find the common denominator of 73/50 and -63/275.
550
Calculate the least common multiple of 300 and 25.
300
Calculate the least common multiple of 208 and 56.
1456
What is the least common multiple of 8 and 12?
24
Calculate the least common multiple of 22 and 346.
3806
Calculate the common denominator of 16/5 and 5/48197.
240985
Calculate the smallest common multiple of 111 and 7696.
23088
What is the least common multiple of 10 and 1414?
7070
Calculate the lowest common multiple of 16 and 64.
64
Find the common denominator of 7/174 and -113/54.
1566
What is the lowest common multiple of 126 and 231?
1386
What is the common denominator of 101/8 and -93/4?
8
Calculate the smallest common multiple of 1120 and 88.
12320
Find the common denominator of -21/40 and -149/60.
120
Calculate the smallest common multiple of 74 and 14.
518
What is the smallest common multiple of 198 and 198?
198
Calculate the common denominator of -59/7466 and -61/2.
7466
What is the least common multiple of 72 and 1908?
3816
What is the lowest common multiple of 345 and 621?
3105
What is the common denominator of 133/240 and -55/48?
240
What is the common denominator of -137/12 and -25/162?
324
What is the common denominator of 18/1363 and -20/87?
4089
What is the least common multiple of 111 and 129?
4773
What is the least common multiple of 2212 and 2212?
2212
What is the least common multiple of 162 and 15?
810
What is the least common multiple of 48 and 132?
528
Find the common denominator of 37/30 and -47/261.
2610
What is the common denominator of -37/72 and -97/342?
1368
Calculate the smallest common multiple of 42 and 252.
252
Find the common denominator of 54/725 and -32/7.
5075
Calculate the lowest common multiple of 24 and 9.
72
What is the common denominator of -7/4 and 21/88?
88
Find the common denominator of 15/4 and 51/566.
1132
What is the common denominator of 123/1540 and 53/49?
10780
What is the common denominator of 53/308 and 29/220?
1540
Find the common denominator of 3/64 and -77/32.
64
Calculate the common denominator of -179/30 and 85/78.
390
What is the common denominator of -31/6 and 149/732?
732
Find the common denominator of 25/476 and 41/1428.
1428
Find the common denominator of 21/1072 and 3/1792.
120064
Find the common denominator of -71/28 and -27/7.
28
Find the common denominator of -173/180 and 49/1660.
14940
Calculate the common denominator of 25/36 and -113/5860.
52740
Calculate the least common multiple of 376 and 4.
376
Calculate the least common multiple of 11 and 139.
1529
Calculate the smallest common multiple of 2240 and 2688.
13440
Calculate the least common multiple of 198 and 900.
9900
Calculate the common denominator of 3/61 and -57/5.
305
What is the common denominator of -61/4 and -77/248?
248
Calculate the smallest common multiple of 77 and 7.
77
What is the smallest common multiple of 66 and 240?
2640
Find the common denominator of -49/298 and -33/4.
596
Calculate the common denominator of 41/858 and -41/4.
1716
What is the smallest common multiple of 50 and 4?
100
What is the least common multiple of 305 and 183?
915
What is the common denominator of 53/754 and -17/261?
6786
Find the common denominator of -101/10136 and -83/2896.
20272
Find the common denominator of -67/154 and -17/5.
770
Calculate the smallest common multiple of 33 and 51.
561
What is the lowest common multiple of 38 and 209?
418
Find the common denominator of 37/39 and -41/104.
312
Calculate the common denominator of 91/736 and 149/552.
2208
What is the common denominator of 37/460 and -1/75?
6900
What is the common denominator of 107/2024 and 23/1672?
38456
What is the common denominator of 11/60 and -93/1210?
7260
Find the common denominator of -89/654 and 69/22.
7194
What is the smallest common multiple of 1594 and 8?
6376
What is the common denominator of 77/100 and 7/300?
300
What is the smallest common multiple of 3 and 9?
9
Find the common denominator of -47/4 and 11/146.
292
What is the common denominator of -11/252 and 95/462?
2772
What is the common denominator of 16/319 and -18/1189?
13079
What is the common denominator of -79/16 and 61/920?
1840
Calculate the common denominator of 169/1320 and -39/320.
10560
What is the common denominator of -11/2 and 32/117?
234
What is the smallest common multiple of 17 and 9?
153
Calculate the common denominator of 49/32033 and 22.
32033
Calculate the least common multiple of 150 and 75.
150
Calculate the lowest common multiple of 9200 and 550.
101200
What is the common denominator of 5/128 and 1/18?
1152
Calculate the smallest common multiple of 238 and 68.
476
What is the least common multiple of 1022 and 5?
5110
Calculate the common denomi | {
"pile_set_name": "DM Mathematics"
} |
hat is the second derivative of t**4 + 314386*t - 3*t**4 - 519*t**3 - 311850*t - 67*t**3 wrt t?
-24*t**2 - 3516*t
Let s(d) = d**3 - 22*d**2 - 9*d + 202. Let n be s(22). What is the first derivative of 4*m**3 - 19 - 183*m**4 - 7*m**n - 27*m**4 - 3*m**3 - 145 wrt m?
-868*m**3 + 3*m**2
Let f(l) = l**3 - 4*l**2 + 3*l + 2. Let x be f(3). Suppose 5*u - 21 = x*u. Differentiate -17 + 9 + u + 3*a**3 wrt a.
9*a**2
Let l(u) = -551*u + 1. Let d be l(-1). Suppose 0*q + 4*q = d. What is the second derivative of -11*n - q*n**5 - 7*n + 131*n**5 wrt n?
-140*n**3
Suppose 0 = -5*m, 2*m - 1 = 4*s - 9. Differentiate 8 - 208*a**2 + 208*a**s - 44*a**3 with respect to a.
-132*a**2
Let f(t) = t**2 + 4*t - 64. Let o be f(8). Find the third derivative of -28 + 16 + 79*i**2 + o*i**6 + 12 wrt i.
3840*i**3
Let b(g) be the second derivative of 0*g**5 - 3/2*g**7 - 1/15*g**6 + 1/12*g**4 + 0*g**2 + 13/3*g**3 + g - 181. Find the third derivative of b(f) wrt f.
-3780*f**2 - 48*f
What is the derivative of 947*b**2 + 488*b - 72*b**2 + 510*b**2 + 496*b + 1300 - 986*b wrt b?
2770*b - 2
Let q(y) = -y**2 + 19*y + 23. Let t be q(20). Differentiate -3*d**t + 19*d**3 - 7*d**3 + 110 wrt d.
27*d**2
Let d(u) be the third derivative of u**4/24 + 10*u**3/3 - 16*u**2. Let p be d(-18). What is the derivative of 0*m**2 + 6 - 4 + 2 - 2*m**p wrt m?
-4*m
Differentiate 96*r - 134*r**2 + 25*r**2 + 1389 + 114*r**2 with respect to r.
10*r + 96
Let f(n) = -178*n**2 + 36*n - 3. Let a(b) = -2*b**2 + b + 3. Let t(c) = a(c) + f(c). Find the second derivative of t(y) wrt y.
-360
Let v(z) be the second derivative of 0 - 37/2*z**3 - 1/10*z**5 + 0*z**4 + 226*z - 101*z**2. Differentiate v(l) wrt l.
-6*l**2 - 111
Suppose 46 = 5*r - 3*r. Let z(p) = -328*p + 129. Let u be z(-4). What is the third derivative of -1441*k + r*k**2 + u*k + 10*k**3 wrt k?
60
Let l(v) be the third derivative of -62*v**7/7 - 943*v**3/6 + v**2 + 294. Differentiate l(g) wrt g.
-7440*g**3
Find the first derivative of -646 + 106*u - 554 + 260*u - 43*u wrt u.
323
Let o(a) = 2*a**3 - 3 + 18*a**2 - 21 - 19 - 18. Let t(w) = -5*w**3 - 54*w**2 + 181. Let m(x) = 8*o(x) + 3*t(x). Find the first derivative of m(y) wrt y.
3*y**2 - 36*y
Let o(l) be the second derivative of -2409*l**5/4 - 1246*l**3/3 - l**2 + 5*l - 1128. Find the second derivative of o(g) wrt g.
-72270*g
Suppose n = -r + 23, -3*r - 83 = -2*n - 3*n. Suppose -4*x + n = -v, v + 16 = x + 3*v. Differentiate 22 - 17*y**4 + 4 - x + 3 with respect to y.
-68*y**3
What is the third derivative of -13573 + 246*a**2 - 100*a**3 + 1412*a**3 + 13571 + 78*a**3 wrt a?
8340
Let c(b) be the first derivative of -656*b**2 + 748*b - 1047. What is the first derivative of c(z) wrt z?
-1312
Let m(n) be the first derivative of 21*n - 76 + 0*n**4 + 0*n**2 - 111/5*n**5 + 0*n**3. What is the first derivative of m(g) wrt g?
-444*g**3
Differentiate -3766*z - 806 + 2548*z + 2722*z wrt z.
1504
Let g(j) be the second derivative of -349*j**5/5 + j**4/6 + 1162*j**3/3 - 3926*j. Find the second derivative of g(w) wrt w.
-8376*w + 4
Let q(h) = -232 + 128*h + 132*h - 256*h - 2*h**2. Let c(t) = 4*t**2 - 10*t + 462. Let k(a) = -2*c(a) - 5*q(a). What is the first derivative of k(p) wrt p?
4*p
Suppose -9 = -6*j + 9. Let x be j - (0 + 0/5). Find the third derivative of 19*q**x - 13*q**2 + 21 - 21 wrt q.
114
Let k(g) = -686*g**3 - 36*g**2 - 17*g - 6. Let j(r) = -1372*r**3 - 60*r**2 - 33*r - 14. Let z(f) = 3*j(f) - 5*k(f). Find the second derivative of z(s) wrt s.
-4116*s
Find the third derivative of -426*t**3 + 9*t**2 + 42*t**3 + 7 + 32*t**2 - 69*t**2 wrt t.
-2304
What is the derivative of -7*u**4 - 5131 + 136*u - 3373 + 524 + 3*u**4 wrt u?
-16*u**3 + 136
Let n(i) be the third derivative of -13*i**7/35 + i**5/15 - 14*i**3/3 + 40*i**2 - 3*i. What is the third derivative of n(c) wrt c?
-1872*c
Find the second derivative of -1160*z**3 + 193*z - 713*z**3 - 1 - 72*z wrt z.
-11238*z
Let p(i) = 2246*i + 2265. Let g(x) = -2245*x - 2274. Let h(w) = -4*g(w) - 5*p(w). What is the first derivative of h(q) wrt q?
-2250
Let y(d) be the third derivative of -3613*d**9/504 + 13*d**5/60 - 39*d**4/8 + 4*d**2 - 128*d. What is the third derivative of y(r) wrt r?
-433560*r**3
Suppose -5*c - 4*l + 6226 = 0, -5*c = -5*l + 294 - 6484. What is the derivative of r**3 - 2*r - c + 5*r**3 + 1151 wrt r?
18*r**2 - 2
Let i(p) be the second derivative of 0*p**4 + p**2 + 0 + 72*p + 8*p**3 - 37/20*p**5. What is the second derivative of i(x) wrt x?
-222*x
Let s(h) = -349*h**3 - h**2 + 14*h - 1082. Let i(w) = 232*w**3 + w**2 - 10*w + 721. Let a(d) = -7*i(d) - 5*s(d). What is the third derivative of a(g) wrt g?
726
Differentiate 788 + 137 - 252 - 933*b**2 wrt b.
-1866*b
Suppose -4*k + k = -12, k + 1468 = 4*b. What is the second derivative of 739*n + 7 - 369*n + 7*n**4 - b*n wrt n?
84*n**2
Let q(x) = 1397*x**2 - 17*x - 1455. Let i(l) = -699*l**2 + 8*l + 728. Let h(a) = -13*i(a) - 6*q(a). Find the first derivative of h(u) wrt u.
1410*u - 2
Let n(v) = 11*v**2 - 19*v + 72. Let m be n(10). What is the third derivative of -10*l**4 + m*l + 2*l**2 + 2*l**2 - 980*l wrt l?
-240*l
Let y(x) = 6097*x**3 + 2085*x**2 + 15*x. Let t(g) = -3049*g**3 - 1045*g**2 - 9*g. Let o(n) = 5*t(n) + 3*y(n). What is the third derivative of o(z) wrt z?
18276
Suppose 0 = -4*v + 10 + 6. Suppose 0*t = 2*m + v*t - 38, m = -5*t + 28. Differentiate m*l**4 + 13 - 7 - 20*l**4 with respect to l.
-28*l**3
Suppose -5*d + 21 = b, d - 136 = -5*b + 41. Suppose -7*x = 49*x - 224. Differentiate b*s - x + 42 - 7*s wrt s.
29
Let q(s) be the second derivative of 5183*s**4/6 + s**3/3 + 1643*s**2 - 14969*s. Find the second derivative of q(o) wrt o.
20732
Let l(f) be the first derivative of 2*f**7/7 + 424*f**5/5 + 402*f**3 - 510. Find the third derivative of l(i) wrt i.
240*i**3 + 10176*i
Let f(n) be the first derivative of 0*n**3 - 41 - 37/2*n**4 - 111*n + 0*n**2. What is the derivative of f(j) wrt j?
-222*j**2
Let y(l) = 2023*l + 4613. Let v(h) = 26298*h + 59814. Let k(z) = 4*v(z) - 51*y(z). Differentiate k(o) with respect to o.
2019
Let f(t) = 136*t**3 + 28*t + 401. Let q(w) = 5*w + 3. Let r(b) = -f(b) + 5*q(b). What is the second derivative of r(g) wrt g?
-816*g
Let i(g) = 7*g**2 + 62. Let j be i(15). What is the third derivative of -1637 - 20*r**2 + j - 27*r**3 - r**5 wrt r?
-60*r**2 - 162
Suppose 14*k - 862 = -344. What is the derivative of -86 - 142 + 71 - 112 - 183*l**3 + k wrt l?
-549*l**2
Find the first derivative of 181 + 211 + 93 - 433*q - 20 + 61 wrt q.
-433
Let x(s) = 1879*s**2 + 5445. Let a(i) = -7524*i**2 - 21779. Let k(v) = -2*a(v) - 9*x(v). What is the derivative of k(q) wrt q?
-3726*q
What is the first derivative of -279*q**2 - 403 + 3467 + 418 - q**3 wrt q?
-3*q**2 - 558*q
Differentiate 58*q**4 - 89*q**4 - 57*q**2 + 25*q**2 - 2029 - 4*q**3 + 23*q**2 wrt q.
-124*q**3 - 12*q**2 - 18*q
Let c(l) = 3*l + 4. Let j be c(2). Find the second derivative of 34*a**3 - j*a + 104 - 102 - 38*a wrt a.
204*a
Suppose -7*s - 11*s + 270 = 0. What is the second derivative of -45*h + s*h - 201*h - 136*h**3 - 4*h**2 + 4*h**2 wrt h?
-816*h
Let z = 76394/3 + -25459. Let w(q) be the second derivative of 7*q**2 + 0 - q - z*q**3. Differentiate w(b) with respect to b.
-34
Let q(c) = -c**2 + 14*c + 97. Let g be q(-5). What is the third derivative of -2 - g + 160*a**2 - 8 + 14 - 28*a**2 + 16*a**4 wrt a?
384*a
Suppose 0 = 5*q - r - 12, -q - 4*r = 3*q. Find the second derivative of 16*v + 20*v + 118*v + 120*v**q wrt v.
240
What is the derivative of -1412 + 287*p**4 - 573 + 276 + 206*p**4 wrt p?
1972*p**3
Differentiate -1475*g**4 + 10 + 3758*g**4 + 119 + 193 wrt g.
9132*g**3
Let s(u) = -13*u - 18*u + 32*u. Let z(q) = -q - 3*q - 6 - 13. Let v(d) = 3*s(d) - z(d). Find the first derivative of v(a) wrt a.
7
Let x(l) be the second derivative of 0*l**2 + 0*l**6 + 41/6*l**4 - 1/10*l**5 - 1/6*l**3 - 239*l + 0 + 2/21*l**7. What is the third derivative of x(j) wrt j?
240*j**2 - 12
Let w(a) be the second derivative of -17*a**4/6 + 607*a**3/2 + a + 6. Find the second derivative of w(p) wrt p.
-68
Let p(b) be the third derivative of 5/6*b**4 + 0*b**3 + 7/30*b**5 + 0 - 1/105*b**7 + 0*b**6 + 44*b**2 + 0*b. Find the second derivative of p(g) wrt g.
-24*g**2 + 28
Let z(a) = -2*a**2 + 5*a - 3. Let m be z(2). Let p be ((14/m)/7)/((-1)/3). What is the th | {
"pile_set_name": "DM Mathematics"
} |
ch is the third smallest value? (a) 13 (b) 3 (c) -3974/3
a
Which is the third biggest value? (a) -4/7 (b) -6 (c) -11 (d) 1/5 (e) 0.04 (f) -5
a
Which is the third biggest value? (a) -14 (b) -1/26 (c) 413
a
What is the fourth biggest value in -31, -1/7, 0.2, -0.02, 3?
-1/7
Which is the second smallest value? (a) 11 (b) -0.3 (c) 1.59 (d) -0.03 (e) 2
d
Which is the third smallest value? (a) 16 (b) 6 (c) -68/11
a
Which is the fifth biggest value? (a) 2 (b) 1 (c) -49 (d) 60 (e) -19
c
What is the third biggest value in 5, 10, 411, 0.4, -5?
5
Which is the second biggest value? (a) 153/5 (b) -12/17 (c) 0.1 (d) -1
c
What is the third smallest value in 3, -0.5, 6.644, -0.4?
3
What is the biggest value in 1/4, -0.2, -1318?
1/4
What is the fifth smallest value in -2/7, 1, -1/9, 0.1, 0.4?
1
What is the third biggest value in -36/13, 2/3, -12, -9/5?
-36/13
What is the fourth smallest value in -5, -4/3, -2/5, -330?
-2/5
What is the smallest value in -0.02, 5, 0.1, 65/6, -0.3?
-0.3
What is the fourth smallest value in 2, -1432, 1/10, -0.012?
2
Which is the biggest value? (a) -1 (b) 0 (c) 2475 (d) 6
c
What is the fourth smallest value in 0, 3, -28, -1/4, 865?
3
What is the second smallest value in -4, 3, 2080?
3
Which is the smallest value? (a) 0.34 (b) 1 (c) 0.00881
c
Which is the fifth biggest value? (a) -5 (b) 1/4 (c) -0.1 (d) 44 (e) -4.3
a
What is the second biggest value in -5, 2, 0.5, 1/482?
0.5
What is the second biggest value in -1.7, 0.25, 0, -33.4?
0
Which is the third biggest value? (a) -609 (b) -46 (c) 0.4
a
Which is the second biggest value? (a) 0.1 (b) 1/6 (c) 0 (d) 19 (e) -0.118 (f) 0.11
b
Which is the smallest value? (a) 2/10653 (b) 0.4 (c) 0.2 (d) -25
d
Which is the biggest value? (a) 0.2 (b) -0.5 (c) -1/11 (d) 0.074 (e) 0.065
a
Which is the fourth biggest value? (a) -0.7 (b) 2/3 (c) -2 (d) 0.4 (e) 1/5 (f) -1
a
Which is the smallest value? (a) -5 (b) -32737 (c) 3 (d) 4 (e) -2 (f) -0.5
b
What is the smallest value in -12, -10, -66, 4, -3?
-66
What is the smallest value in -921, -2/3, 5?
-921
What is the second smallest value in 1.1, 3, 2/1055?
1.1
What is the fourth biggest value in 12, -8, 4, 2/11, 3/64?
3/64
What is the second smallest value in -1/4, -28, -5, -2/15, 1.72, -2/5?
-5
Which is the third smallest value? (a) 3/32 (b) -0.1 (c) 4 (d) 3 (e) -5
a
Which is the fifth biggest value? (a) -4 (b) 0.2 (c) -0.8 (d) -0.4 (e) 0.02 (f) -3
f
Which is the biggest value? (a) 0.6 (b) -5 (c) -106 (d) 3
d
What is the fifth biggest value in 0.37, -0.14, -4, 5, -44/3?
-44/3
Which is the fourth smallest value? (a) -10/9 (b) 102 (c) 2 (d) -0.3 (e) -6
c
What is the third smallest value in 1, 13/5, 0.3, -6/71?
1
Which is the smallest value? (a) -1 (b) -0.08 (c) -0.1 (d) 62 (e) -2/49 (f) -0.4
a
Which is the second biggest value? (a) -1/10 (b) -3297 (c) -3 (d) 1/11
a
What is the sixth smallest value in -1, -0.3, 421, 2, -2, 6?
421
Which is the biggest value? (a) 1/5 (b) 0.4 (c) 218/3 (d) 5 (e) -3/2
c
Which is the biggest value? (a) 3 (b) -25 (c) -1/4 (d) 25
d
What is the smallest value in -4.3, 1/4, -3/4, 0.4, 16?
-4.3
What is the sixth smallest value in -3, 0.4, -33, 1/3, -1.33, -0.2?
0.4
Which is the biggest value? (a) 4 (b) 2 (c) 2.1 (d) 2/125 (e) -1/4 (f) 3
a
Which is the second smallest value? (a) -15 (b) -5 (c) 3 (d) -7 (e) 3/2
d
Which is the biggest value? (a) -5304/11 (b) -1 (c) 0.05
c
What is the second smallest value in -2, 107, 0.16, 0.04?
0.04
Which is the biggest value? (a) -128 (b) 47 (c) -4
b
What is the biggest value in -1, -0.3, 590.5, 1?
590.5
What is the fourth biggest value in 1.3, -3, 2, -1?
-3
What is the third smallest value in 4, 2/13, -2/13, -11669, -0.5, -3?
-0.5
Which is the smallest value? (a) 0.92 (b) 2/7 (c) 0.2
c
Which is the smallest value? (a) 0.005 (b) -1/3 (c) 2 (d) -4 (e) 3
d
Which is the fourth biggest value? (a) 2/11 (b) -6 (c) 31 (d) 3 (e) -3/5 (f) 2/13
f
Which is the third biggest value? (a) -164 (b) -0.11 (c) 39 (d) 3 (e) -1/2
b
What is the third smallest value in -5, 92, -4/5?
92
Which is the biggest value? (a) 2/23 (b) -1/7 (c) 4 (d) -0.5 (e) -3
c
Which is the second biggest value? (a) 0.4 (b) -9 (c) -15182 (d) -1/3
d
What is the second smallest value in 4, 33, 1.741, 0.5?
1.741
What is the biggest value in 2/155, -0.1, -0.3, -0.2, -5?
2/155
Which is the second biggest value? (a) -0.4 (b) 0.25 (c) -2 (d) 1/11
d
Which is the fifth biggest value? (a) -1/10 (b) -2/3 (c) 7 (d) -12 (e) -4
d
What is the fourth biggest value in -1/3, -22, -629, 0.2?
-629
What is the second biggest value in -0.012, -1/3, 2, -5, 21/8?
2
What is the fifth biggest value in -5, 1/6, 1/1941, 1, -0.5?
-5
Which is the biggest value? (a) -10 (b) -3/4 (c) -5 (d) 4 (e) -2/7
d
Which is the second biggest value? (a) -3 (b) -205 (c) 7 (d) -5 (e) -6/19 (f) -2
e
Which is the third smallest value? (a) -3 (b) 4 (c) -934/641
b
What is the biggest value in 3/2, -0.2, 8.23, -0.1, -5, -2/7?
8.23
Which is the fifth smallest value? (a) 1 (b) -0.3 (c) 5 (d) -0.12 (e) -4 (f) 162/13
c
Which is the third smallest value? (a) -0.22 (b) -56 (c) 0 (d) -3
a
Which is the third smallest value? (a) 9 (b) -7 (c) 4 (d) 0.018 (e) -1
d
What is the smallest value in 1, -21, -144.41?
-144.41
What is the second biggest value in -51/4, 35, 6/19?
6/19
Which is the fourth smallest value? (a) 3 (b) -2 (c) -4 (d) 5 (e) -1.21
a
Which is the third smallest value? (a) 1/5 (b) 4 (c) 0.5 (d) -2/3 (e) -550
a
What is the third smallest value in -71.344, -4, -2/17, 11?
-2/17
What is the third biggest value in 2/15, 2/11, 0.3, -7/9, -0.1, 1?
2/11
Which is the biggest value? (a) 204 (b) 0 (c) -16 (d) -2
a
Which is the smallest value? (a) 5 (b) 1 (c) 14/19 (d) 0.8 (e) -0.3
e
What is the second smallest value in 1/4, 58, -4/9891?
1/4
Which is the fourth smallest value? (a) 20.73 (b) 2/5 (c) -0.5 (d) -1 (e) -30
b
What is the fifth smallest value in 0.4, -2/15, -1, -3/5, -2/735, 1?
0.4
Which is the third smallest value? (a) 3/7 (b) -53 (c) 9
c
What is the fifth biggest value in 11/6, 1/3, -0.1, -1/12, -13?
-13
Which is the fifth biggest value? (a) 4 (b) 1 (c) -5 (d) -0.9827 (e) 0
c
Which is the biggest value? (a) -45548 (b) 2 (c) 11
c
Which is the biggest value? (a) -2/47 (b) -2/505 (c) -5 (d) 2 (e) -0.01
d
Which is the fifth smallest value? (a) 4 (b) -0.4 (c) 2/19 (d) 2/5 (e) -3 (f) 297
a
What is the biggest value in 155, -4, -2?
155
What is the biggest value in -0.3, 2/5, 4/3, 0.3, -18, -7?
4/3
What is the second biggest value in 6.14, 0, 1?
1
What is the second smallest value in -2, 0.4, -3/4, 6/7, -49/6?
-2
Which is the smallest value? (a) -0.189 (b) 4/15 (c) 3/4 (d) -0.3
d
Which is the second biggest value? (a) 2/13 (b) -1/8 (c) -0.110301
c
Which is the second smallest value? (a) 119056 (b) 2 (c) 5
c
What is the second biggest value in 492, -1, -5, 5, -9?
5
What is the smallest value in -60.8, 0.5, 120?
-60.8
Which is the second biggest value? (a) -0.0359 (b) -0.6 (c) -0.5 (d) -1/5
d
What is the third smallest value in -19327, -3, -0.3?
-0.3
Which is the fourth biggest value? (a) 0.04 (b) 39 (c) 5/6 (d) 5 (e) 3/5 (f) -1.5
e
Which is the biggest value? (a) -48.54 (b) -0.007 (c) -5
b
Which is the smallest value? (a) 2/5 (b) 2/11 (c) -10.9 (d) -1/10 (e) 18
c
What is the fourth biggest value in 2, 1.9, 75, -35?
-35
Which is the smallest value? (a) -86/9 (b) -11/15 (c) 3 (d) 1/11
a
Which is the biggest value? (a) -184 (b) 2/19 (c) 0.5 (d) -0.4
c
What is the second smallest value in -2/11, -14/3, 39?
-2/11
What is the third smallest value in 0.5, -110, -1.5, -1?
-1
What is the smallest value in -5/36, -2, 5/3?
-2
Which is the second biggest value? (a) 100 (b) -0.2 (c) 41
c
Which is the second biggest value? (a) -2 (b) -3/4 (c) -0.1 (d) -7039
b
What is the third smallest value in -2/9, 7, 0.43362?
7
What is the second biggest value in -8, 3274, -3.6?
-3.6
Which is the fifth smallest value? (a) -0.1 (b) -70 (c) 6 (d) -3 (e) -1/4 (f) -5
a
Which is the third smallest value? (a) -520 (b) 1 (c) -174
b
Which is the small | {
"pile_set_name": "DM Mathematics"
} |
22. Is -1 - (-4614)/15 - 4/u a prime number?
True
Let p(m) = 42*m**2 + 3*m + 2. Let v be 11/(-33) - (-20)/6. Let b be p(v). Suppose 26 = 4*g + i - b, 312 = 3*g + i. Is g a prime number?
True
Is 2/(-16) + 23450/80 a prime number?
True
Let a(g) = 33*g - 148. Is a(25) a composite number?
False
Let r(j) = j**3 + 3*j**2 + 2*j + 104. Is r(29) composite?
True
Let s(z) = 2*z + 44. Let w be s(-21). Suppose j = 2*o - 10078, 5*j - 20156 = -2*o - w*o. Is o a prime number?
True
Is (-6)/(24/1268)*-7 composite?
True
Suppose 2*n - 86993 = -y - 4*y, 5*n + 52202 = 3*y. Is y prime?
False
Is 2/((126/66227)/9) prime?
True
Let d(v) = 285*v**2 + 2*v - 9. Let o(p) = -856*p**2 - 7*p + 27. Let h(f) = 11*d(f) + 4*o(f). Let a be h(-6). Is (-2)/3 - a/27 composite?
False
Let a be 76 - (-6)/18*3. Suppose a*n = 74*n + 2757. Is n prime?
True
Let u(l) = 2*l - 18. Let y be u(6). Let f = 49 + y. Is f prime?
True
Let i = 19279 - 11610. Is i composite?
False
Let k(s) = -s**3 + 6*s**2 - 4*s - 4. Let m be k(4). Let v = -8 + m. Suppose 3*r - 211 = v*z, -7*r + 2*r - z + 390 = 0. Is r a prime number?
False
Let y(k) = -k**3 - 8*k**2 + 10*k - 7. Let a be y(-8). Let s = -54 - a. Is s prime?
False
Suppose 3*w = 3*z - 6, 3*z - 2 = 6*w - w. Suppose 5*u = -m + 639, -w*u - 365 = -5*u + 4*m. Is u a composite number?
False
Let l be 31 - (-4 + -5)/(-3). Suppose -l = -2*y + 198. Is y a composite number?
False
Let l = -18279 - -25918. Is l prime?
True
Let k = -13194 - -18713. Is k prime?
True
Let n(a) = 6*a**2 + 27*a + 23. Is n(-22) a prime number?
True
Let r = -15 + 15. Let v be -894 - 0/(r + 2). Let j = 1333 + v. Is j composite?
False
Let b = 19 - 8. Let u = 78 - b. Is u a prime number?
True
Let x(l) = -2*l**3 - l**2 - 10*l - 7. Let y be x(-6). Suppose 6*g - y = 5*g. Is g prime?
True
Is 613814/12 + (-11 + 9)/12 a prime number?
True
Suppose 0 = 3*s - 28511 - 22. Is s prime?
True
Suppose 42934 = 2*r + 3*x, -19*x + 24*x = -3*r + 64401. Is r prime?
True
Let f(m) = 1045*m - 2. Suppose 5 = v + 4. Is f(v) composite?
True
Let p be ((-10)/(-3))/(2/(-216)). Let s = p + 779. Is s a prime number?
True
Let r be (4 - 2)*(-8)/(-4). Suppose -2*o - 2*o - 4*y = -2184, -2*o = -r*y - 1062. Is o composite?
False
Let j(r) = -r**3 - 6*r**2 + 7*r + 3. Let b be j(-8). Let q = -60 + b. Is q prime?
False
Let u = 53091 - 19570. Is u prime?
True
Suppose 0 = 5*k - 25, 2*t + 2*k - 5815 = 12553. Is t composite?
True
Suppose 2311 + 489 = 8*r. Suppose -5*f = 5*i - r, -i - 7*f + 10*f + 58 = 0. Is i a composite number?
False
Suppose -n - h + 6250 = 0, 2*h + 5728 = 3*n - 13007. Is n composite?
False
Let z be (6 + 65/(-10))/(1/2). Is 3410 + z + 2 - -2 a composite number?
False
Suppose 5 = -4*c - 19. Let s(y) = -209*y + 35. Let n(q) = 105*q - 15. Let b(p) = -5*n(p) - 2*s(p). Is b(c) composite?
False
Let m(a) be the first derivative of -654*a**2 - 17*a - 37. Is m(-5) composite?
True
Suppose -9 = 3*f - 15. Suppose 3598 = f*l + 724. Is l a composite number?
True
Let t = -62 - -76. Suppose -16*a + t*a = -506. Is a a composite number?
True
Let c be 18/(-4)*(140 - 2). Let l be ((-4)/(-10))/(2/10). Is (c/(-2) + 1)*l a composite number?
True
Suppose -143*f + 139*f - 1476 = 0. Let v = f + 1112. Is v a prime number?
True
Suppose 4*r - 5*y - 24 = 0, 2*y + 2*y + 19 = 3*r. Is (-2557)/((-6 + 5)/(r - 0)) composite?
False
Suppose -4*q - 5*l - 9 - 11 = 0, -2*l = -2*q + 8. Let d be 4/16*0 - -124. Suppose -n + 128 = -g, q = -n - 4*g + g + d. Is n prime?
True
Suppose 875 = -4*h + 5*v, -h - 285 + 62 = 3*v. Let k(n) = -7*n + 8. Let z be k(-9). Let d = z - h. Is d a composite number?
True
Suppose -4*h = -3*w, 3*w - 2 = -2*h + 16. Suppose -h*y - 2*y + 3030 = 0. Suppose -3*c + 2*c + 608 = 3*z, 0 = 3*z + 3*c - y. Is z a composite number?
True
Let k be 2*2/(-4)*-2. Let p(n) = -1 + 7 - 6*n + 5*n**k + 2. Is p(7) composite?
False
Let d = -368 - -373. Let c = 772 + -458. Suppose -d*q + 247 = 3*x, 4*x - 3*q = -2*q + c. Is x prime?
True
Let q be (4 - 1)*(0 + -3). Let p be (-18)/81 + (-47)/q. Suppose -p*i = -3*i - 106. Is i prime?
True
Let m = 2016 - 545. Is m a composite number?
False
Let o(p) = p**2 + 6*p - 201. Is o(64) prime?
False
Let x = 2959 + -756. Is x a composite number?
False
Let l(v) = 11*v**2 - 9 + 7*v - 7*v + 7*v + v**3 + 5*v**2. Is l(-13) prime?
False
Let k(i) = 6*i**2 - 33*i + 61. Is k(20) prime?
True
Let s = 25128 - 847. Is s a composite number?
False
Suppose 4*o + 2758 = -2*g, 3*g = 5*o + 2607 + 824. Let i = -462 - o. Is i a composite number?
True
Let w be 6 - (-70)/(-15) - 4/(-6). Suppose -1638 = -9*x + 4*x - r, w*x + 3*r - 663 = 0. Is x a prime number?
False
Let g(s) = -19*s**3 + 2*s**2 + 4*s - 11. Let z(j) be the first derivative of 9*j**4/4 - j**3/3 - j**2 + 5*j + 6. Let d(b) = -4*g(b) - 9*z(b). Is d(-2) prime?
False
Let p(t) be the third derivative of -49*t**4/8 - t**3/6 + 12*t**2. Is p(-2) prime?
True
Let l(f) = f**3 - 7*f**2 + 8*f - 7. Let c be l(6). Let k(y) = -50*y**2 - 3*y - 4. Let t be k(c). Is t/(-18)*44/6 a composite number?
True
Let f(r) = -r - 7. Let v = 9 - 19. Let o be f(v). Suppose -75 = o*y - 648. Is y a composite number?
False
Let p be 1 - (-4 + 1 + 12 + -431). Suppose -25 = 5*n, 4*i + n = 6*n + 33. Is (-1)/i + p/2 a composite number?
False
Suppose -9*y - 13665 = -12*y. Suppose -5*k - d = -5*d - y, -k - 4*d = -911. Is k a composite number?
False
Suppose -8 = -4*o - 0*o. Is (-12)/(-5) - o - 12615/(-25) composite?
True
Let w(g) = 14*g**2 + 12*g + 2. Let h be w(6). Suppose h = 5*i - 3*q, 4*i + 0*q = -2*q + 480. Is i a composite number?
True
Suppose 0 = n + 5*f + 2, -5*f = -3*n - 9 + 3. Let y be 0 + n + 17575/19. Let c = -124 + y. Is c a composite number?
True
Suppose t - 17963 = -2*x, 4*t - 2*x - 51956 - 19866 = 0. Is t composite?
False
Let y be 2/(246/(-63) + 4). Suppose -f - 9 = -d, -f - 5*d = -0*f - y. Let h = f + 6. Is h a composite number?
False
Suppose 4*t + 4*w = 100, -3*t - w + 81 = 4*w. Suppose 2*l = -3 + 9. Suppose -t = g - l*g. Is g composite?
False
Let d(q) = q**2 - 7*q - 8. Let v be d(8). Suppose 3*b + 2*o - 403 = v, o = 4*b + 4*o - 539. Is b prime?
True
Suppose -2*f = 4*k - 4470, 4*k = -3*f + 3501 + 3206. Is f a prime number?
True
Suppose -5*a + 30 = -8*a. Let g(q) = -41*q + 10. Let x be g(a). Is 1/(x/(-212) + 2) a prime number?
True
Let n(f) = -2*f**3 - 4*f**2 - 5*f - 5. Let u be n(-2). Let s be (-4 + u - 4) + 1727. Suppose 186 = 5*c - s. Is c a composite number?
True
Let y be (0 - (-4)/(-8))/((-3)/24). Suppose l - 9 = -7, 2*w - y*l - 588 = 0. Is w prime?
False
Let j = -7669 + 12278. Is j composite?
True
Suppose 0 = 3*s - 61995 - 13908. Is s prime?
True
Suppose 2196 = -11*g + 20*g. Let b = g - 87. Is b prime?
True
Suppose 0 = 8*r - 13*r + 5*v + 16235, v = 0. Is r prime?
False
Is -3*(8 - (432 - -7)) prime?
False
Is 181594/12 + (-8)/(-48) prime?
False
Let f(h) = 2386*h + 33. Is f(8) a prime number?
True
Suppose 2*b - 4*b = 0. Let n be (b + 1)/((-3)/(-9)). Suppose -n*v + 643 = 2*i, 6*i + 3 = 3*i. Is v a composite number?
True
Let a = -6 - -6. Suppose 3*f - 3 = a, -f = z + 3*f - 56. Suppose -o + z + 97 = 0. Is o a composite number?
False
Suppose 0 = -8*a + 20683 + 15309. Is a prime?
False
Let d = 285 - 188. Suppose -d = 3*c - n + 6*n, -2*n + 104 = -3*c. Let v = 413 + c. Is v prime?
True
Let p(u) be the third derivative of 7*u**5/30 - 11*u**4/24 + 25*u**3/3 - 2*u**2 - 4*u. Is p(-17) composite?
False
Suppose -67813 + 8843 = -10*j. Is j prime?
True
Let w be 542/14 - 16/(-56). Let g be -4 - (0 + 1 + -1). Let t = g + w. Is t a prime number?
False
Let h(y) = -3*y**2 - 5*y + 17. Let g be h(-8). Let u = -32 - g. Is u prime?
True
Let j = -5 - -6. Suppose -3*a + 7 = j. Suppose -5 = d, -a*l + 293 = d - 0*d. Is l a prime number?
True
Let z(q) = q**2 + q - 1. Let j be z(-2). Let k be (-7)/(-2*j/66). Suppose -4*i = -i - k. Is i composite?
True
Is -4 - (-10)/2*423 prime?
True
Let k(z) = 333*z - 466 + 340*z + 463 + 149*z. Is k(3) composite?
True
Suppose o + 6811 = 5*k - 0*o, -2*o + 2734 = 2*k. Is k composite?
True
Let z = -885 + 4988. Is z a composite number?
True
Is 1 - ((-34200)/34 - 2/17) composite?
True
Let t(l) = 2*l**2 - 2*l - 10. Let i(d) = d + 9. Let x(k) = 3*i(k) + 2*t(k). Let f(a) = a**3 + 7*a**2 - 6. Let r be f(-7). Is x(r) composite?
False
Suppose 2*o = -0*o - 36. Is o/63 + (61478/14 - -2) prime?
False
Is (-203230)/60*3* | {
"pile_set_name": "DM Mathematics"
} |
6*p**3 - 1 to m*p**3 + c*p**2 + n + r*p and give m.
-848
Rearrange (-2 + q + 2)*(-4 - 3 - 2)*(-5 - q**3 + 5) + (-5*q - q + 3*q)*(-q**3 + 3 - 3) to the form n*q**3 + t*q**2 + j + r*q**4 + k*q and give r.
12
Express (-8*t**3 + 3*t**3 + 0*t**3)*(89 + 0*t - 87 + 7*t) as o*t**3 + y*t**4 + m + h*t + d*t**2 and give y.
-35
Express (4*u**2 + u**2 + 2*u**2)*(43*u**2 - 18*u**2 + 62*u**2) as j*u**4 + g + t*u**2 + k*u**3 + m*u and give j.
609
Express 5887*i**2 - 3 - 5876*i**2 + 4 as k*i**2 + z + t*i and give k.
11
Rearrange 381*q**2 + 204*q**2 - 3 - 61*q**2 + 2 + 714*q**2 to l*q**2 + i*q + j and give l.
1238
Rearrange 13*o**3 + 8*o + 23*o**3 + 20*o**3 - 99*o**3 + 12*o**3 to the form i*o**3 + k*o + u*o**2 + z and give k.
8
Rearrange -176*s**3 - 1 + 176*s**3 + 2*s**4 + 47*s**2 + s to g*s**4 + k + z*s**3 + y*s + a*s**2 and give y.
1
Express (3 + 4 - 2 + 0 - 2 - 4 + (13 - 21 - 14)*(3 - 1 - 3))*(-4*a + 3*a + 3*a) as r + q*a and give q.
42
Express -128*x + 95*x + 255*x + 218*x + 9*x in the form y + v*x and give y.
0
Express -v**4 + 73*v**3 + 67*v**3 - 142*v**3 + 7 - 8*v**2 as t*v**3 + h + u*v**2 + o*v + b*v**4 and give u.
-8
Express (0*y**3 - y**3 + 7*y**3)*((6 - 3 - 1)*(-119 - 189 + 83) + 1 - 1 - 1) in the form a*y**3 + f + z*y + w*y**2 and give a.
-2706
Rearrange -380*w - 1179*w + 296*w - 920*w to n*w + q and give n.
-2183
Express (-845 - 1064 + 218)*(2*d**4 + 2*d - 2*d) as w + y*d**4 + v*d**2 + o*d**3 + s*d and give y.
-3382
Express -1338*c + 2*c**4 + 1345*c + c**2 - 36 - 26 in the form k*c**4 + d + h*c**3 + l*c + u*c**2 and give l.
7
Rearrange 28*f + 5*f**2 - 28*f + (11*f**2 + 2*f**2 + 27*f**2)*(-1 + 2 - 3) - f**2 - f**2 + f**2 to the form p + l*f + s*f**2 and give s.
-76
Express -f**3 + 47*f - 93*f + 48*f - 4 in the form a*f**2 + i*f**3 + p + m*f and give m.
2
Rearrange -97*c**3 + 0 + 0 + 39*c**2 - 89*c**3 + 184*c**3 to the form q + i*c + v*c**3 + j*c**2 and give i.
0
Express 29 - 18 + 8*d**3 - 10 - 15*d**2 as t*d + c + z*d**3 + n*d**2 and give c.
1
Rearrange 21*z - 972 + 47*z**3 - 22*z + 971 to o + n*z + i*z**2 + d*z**3 and give d.
47
Rearrange (-2 - 3*t + 2 + (1 + 0 + 1)*(3*t + 4*t - 3*t) + 4*t - 2 - 5*t + 2*t)*(1 + 3 - 2) to the form s*t + l and give s.
12
Rearrange -62*h**2 + 238*h**2 - 6*h + 6*h to n*h + s + d*h**2 and give d.
176
Express (-22 + 44 + 41)*(2*f**2 - 1 + 1) + f**2 + f**2 + 5*f**2 in the form j*f**2 + w*f + g and give j.
133
Express 43*b**2 + b - 17*b**2 - 52*b - 2*b**2 - 26*b**2 as k*b + c*b**2 + x and give k.
-51
Rearrange -12*c + 7 - 11 + 4 + 619*c to the form a*c + g and give g.
0
Express 730*f**3 - 48*f**2 - 728*f**3 + 9 - 14 as p*f**2 + o*f**3 + j*f + i and give p.
-48
Express -34*d**2 - 60*d**2 - 53*d**2 in the form z + r*d + t*d**2 and give t.
-147
Express -1847 + 3757 - 1853 + z + 2*z**2 in the form v*z**2 + g + r*z and give v.
2
Rearrange 2 - 59*o + 6 + 1 + 1 + 2*o**2 - 14 to b*o + n*o**2 + u and give u.
-4
Express (-21 - z + 12 + 11)*(1 + 2*z - 1)*(-9*z + 1 - 7 + 7) in the form i + v*z**3 + n*z + a*z**2 and give n.
4
Express 2*m**2 + 4*m**2 - 4*m**2 - 2*m**2 - 4*m**2 + 0*m**2 + (-1 + 1 - 2*m)*(-7*m + 13*m + m) + m**2 + 4*m**2 - 6*m**2 as j*m + p*m**2 + o and give p.
-19
Rearrange 254*t**4 - 609*t**4 - 117*t**4 - 400*t**4 + (0*t + 0*t - 2*t**4)*(-5 - 1 + 4) to v*t**2 + o + c*t**3 + l*t + p*t**4 and give p.
-868
Express (0 - 2 + 0 + (0 + 1 + 1)*(-2 + 3 + 0) + 19 - 9 - 12)*(8*r + 10 - 10) as u*r + z and give u.
-16
Rearrange 15*i**2 + 25*i**2 + 16*i**2 - 43*i**2 + 19*i to the form w + g*i + t*i**2 and give g.
19
Rearrange (-2 - 6 + 4)*(24*o**2 - 31*o + 31*o)*(3 - 2 + 2) to the form u*o**2 + m*o + k and give m.
0
Rearrange -64*s - 66*s + 137*s - 27 + 5 to the form a + h*s and give a.
-22
Rearrange 43*b + 49*b - 90*b + 1 - 4*b**3 to c*b**3 + p + w*b**2 + n*b and give c.
-4
Express 770*a**4 + a**2 - 2*a - 2*a**3 - 1541*a**4 + 772*a**4 in the form i*a + s*a**4 + m + y*a**3 + v*a**2 and give v.
1
Express 2*x - 2*x - 2*x**2 + (0*x - 3*x + x)*(5*x - 2*x - 2*x) + 3*x**2 - 3*x**2 + x**2 + 17 - 110*x**2 - 4 - 12 as t*x + a + c*x**2 and give a.
1
Rearrange 9*y + 666*y**2 - 2 - 665*y**2 + 3 + (-4*y - 2*y + y)*(4*y - 2*y - 4*y) to n*y + g + c*y**2 and give c.
11
Express (l + l + 3*l)*(-42 - 17 + 15)*(0 + 4 - 1) as n*l + u and give n.
-660
Rearrange -2 - 74*m + 142*m - 73*m to the form u + j*m and give u.
-2
Express -1197 + 247*k**2 + 1197 in the form p + j*k + r*k**2 and give r.
247
Rearrange -692*s**2 + 654*s**2 + 349*s**2 to i*s + j*s**2 + u and give j.
311
Express 4*z**2 - z**3 - 162*z + 345*z - z**2 - 166*z - 7*z**2 as x*z + w*z**2 + r + h*z**3 and give x.
17
Express 2459*z**2 + z + 61 + 3*z**3 - 2459*z**2 + 77 in the form x*z + y*z**3 + p + l*z**2 and give p.
138
Rearrange (-2*t**2 + 4*t**2 + 1 + 1)*((1 - 1 - 2)*(3 - 16 - 4) - 1 - 2 + 1) to the form j*t + m + u*t**2 and give u.
64
Express -33*g - 33*g - 123*g as p*g + v and give p.
-189
Rearrange (4 - 4 - 1 + 0 + 4)*(-11*d**2 - 4*d**2 + 0*d**2) to v + f*d + t*d**2 and give t.
-45
Express -95018 + 95018 + 210*i as l + v*i and give v.
210
Rearrange 5*b**2 + b**2 - 4*b**2 - b**2 + b**2 - b**2 + (-3 - 2*b + 3)*(-4*b + 10 - 10) - b**2 + 0*b**2 + 2*b**2 to the form x*b**2 + t + k*b and give x.
10
Express -29*q - 87*q + 225*q + 169*q in the form s + j*q and give j.
278
Express -117 + 60 + 2*b**3 + 62 + 2*b**4 + 8*b**2 in the form q*b**3 + y + o*b**2 + w*b + r*b**4 and give o.
8
Rearrange 142*s - 51*s - 23*s + 224*s to d*s + x and give d.
292
Rearrange -8*f - 2*f + 13*f - 154 - 5*f to n*f + l and give n.
-2
Express (1 + 4 + 0)*(-16*f**4 - 4*f**4 - 27*f**4) as o*f**2 + q*f**3 + v + y*f**4 + l*f and give y.
-235
Express (1 + 3 - 3)*(-857749 + 816*l**3 + 857749) + 1 - 2*l**3 - 1 as q*l**2 + u*l**3 + n*l + p and give u.
814
Rearrange -3*m - 53*m**4 + m**2 + 34*m**4 + 32*m**4 - m**3 to x*m**3 + f*m**4 + d + j*m + h*m**2 and give x.
-1
Express 328 - 328 + 63*w in the form y*w + o and give y.
63
Rearrange (4*a - 4*a + 2*a)*(-285 + 5613*a - 14754*a + 285) to h*a**2 + z*a + l and give h.
-18282
Rearrange -1 + 1 - 8 + 8 - 1610*w to f + i*w and give i.
-1610
Express (-1 + 2 + 0)*(0*b - 5*b + 4*b) - b - b + 0*b - 4 + 4 + b - 60 + 60 - 41*b as i*b + y and give i.
-43
Rearrange -139*n**2 - 322*n**2 - 38*n + 38*n to the form k + m*n**2 + u*n and give m.
-461
Rearrange -5*v**2 + 3*v**2 - 6*v**4 + v**2 - 2*v**3 - v**2 - 13*v + 4*v**4 to the form a*v**3 + u*v**2 + z + w*v**4 + s*v and give a.
-2
Rearrange -11*g + 3*g - 12*g**4 - 3*g**2 - 2 + 17*g**4 to m*g**2 + r + o*g + i*g**4 + j*g**3 and give m.
-3
Express l + 7*l**3 - 6*l**2 - 2 + 0*l**2 + 9*l**2 as c + t*l**2 + w*l**3 + a*l and give t.
3
Rearrange (-6*z + 2*z + 3*z)*(6*z**2 - 2*z**2 - z**2) - 194*z**3 + 219096*z**2 - 219096*z**2 to the form u*z**2 + h*z + i + m*z**3 and give m.
-197
Rearrange (4 - 3 + 0)*(-45*b - 335 + 49*b + 438) to j + v*b and give v.
4
Express (2 - 4*t - t + 2*t)*(2 - 2 - 3 + (-1 + 4 - 5)*(0 + 3 - 6) + (-1 - 3 + 5)*(-1 + 0 + 2)) in the form f + v*t and give f.
8
Express -2*a - 3*a**3 - 2 + 4*a - 2*a**3 in the form o*a + m + c*a**2 + r*a**3 and give r.
-5
Express (-74 + 130 + 155 + 17)*(-21*u + 10*u**4 + 21*u) in the form f*u + s*u**4 + w*u**2 + i*u**3 + d and give w.
0
Rearrange 2*s + 4*s + 3*s + (-2*s + 4 - 4)*(5 - 4 + 1) + 2*s - 2*s - s to the form h + f*s and give f.
4
Express -58*r - 224*r**2 - 58*r + 116*r - 386*r**2 as m + l*r + a*r**2 and give a.
-610
Express (801*v + 66*v + 497*v + 16*v)*(0*v - v + 3*v) in the form s + b*v**2 + f*v and give s.
0
Express 0*p - 3*p + 632*p**2 + 4*p - 11*p**2 - 2*p as d + i*p**2 + s*p and give i.
621
Rearrange (3*v**3 + v**3 - 3*v**3)*(-97 + 332 + 94) to the form s + k*v + m*v**2 + l*v**3 and give s.
0
Express 0*x + 0*x + x + (-4 + 0 + 2)*(0 - x + 0) + 733*x - 5760*x - 1562*x - 1524*x in the form t + m*x and give m.
-8110
Express -23 - r + 28 + 6 as v*r + p and give p.
11
Express -127 - 222 + 722 + 2*k as i + o*k and give i.
373
Rearrange 6 - 49*v + 2*v**2 + 21*v + 25*v to i + l*v + b*v**2 and give i.
6
Express -6*v - 13*v**3 + v**4 - 3*v + 4*v in the form s*v**2 + g*v**4 + a*v**3 + p + j*v and give a.
-13
Rearrange (-v + 2*v + v)*(37 - v - 37 - 5*v**2)*(6 - 15 - 15) to the form t*v + f*v**2 + b + j*v**3 and give j.
240
Rearrange 26 - 59 - 5*o + 10*o - 39 + 9 to f*o + v and give v.
-63
Rearrange | {
"pile_set_name": "DM Mathematics"
} |
z + 12. Let d(h) = -5*u(h) + 12*w(h). Determine g, given that d(g) = 0.
-2, 0
Let g(x) be the third derivative of -x**5/100 + x**4/40 + x**3/5 + 15*x**2. Let g(v) = 0. Calculate v.
-1, 2
Factor 3/7*h**3 + 0 + 6/7*h**2 + 3/7*h.
3*h*(h + 1)**2/7
Let o(c) be the first derivative of -c**4/10 + 4*c**3/15 - 4. Suppose o(q) = 0. What is q?
0, 2
Let t be (3 - (-34)/(-12))*6/2. Let f = 2 - 2. Factor -t*z**3 + z**2 - 1/2*z + f.
-z*(z - 1)**2/2
Suppose 0 = -4*g + 25 - 9. Let x(y) be the second derivative of 0*y**g + 1/80*y**5 + 0*y**3 + 0*y**2 + 0 + 1/120*y**6 - y. Find v such that x(v) = 0.
-1, 0
Let m(p) be the first derivative of 3*p**4/8 - p**3/2 - 3*p**2/2 + 8. Solve m(d) = 0.
-1, 0, 2
Let r be (-2517)/630 + 12/3. Let k(j) be the third derivative of 0 + 1/3*j**4 + 1/20*j**6 - r*j**7 - 1/5*j**5 + 0*j**3 - j**2 + 0*j. Factor k(h).
-h*(h - 2)**3
Factor -21 - 5*r**3 + 21 + 3*r**2 + 4*r**3 - 2*r.
-r*(r - 2)*(r - 1)
Let b be -2 + (-12)/(3 + -5). Let q be 5 + (b + -1)*-1. Let -3*i**2 + i + 1 + i**q - i**3 + 2*i**4 - 1 = 0. Calculate i.
-1, 0, 1/2, 1
Let u(x) = x**2 - x + 1. Let m(g) = 10*g**3 + 20*g**2 - 2*g. Let a(o) = m(o) - 4*u(o). Factor a(b).
2*(b + 1)**2*(5*b - 2)
Factor -3 + 2*j - 1/3*j**2.
-(j - 3)**2/3
Let 45*h**2 - 5*h**4 + 5*h**3 - 108 - 256*h**5 + 505*h**5 - 250*h**5 = 0. What is h?
-3, 2
Let z = -87 - -92. Factor 2/5*d**z + 4*d**3 + 2*d**4 + 4*d**2 + 2/5 + 2*d.
2*(d + 1)**5/5
Let n(z) be the first derivative of -z**5/30 - 6*z + 4. Let b(u) be the first derivative of n(u). Solve b(a) = 0.
0
Let g(w) be the first derivative of -w**8/5040 + w**7/1260 + 2*w**3/3 - 2. Let f(q) be the third derivative of g(q). Factor f(k).
-k**3*(k - 2)/3
Let x(v) be the first derivative of -v**7/420 + v**5/20 + v**4/6 + 4*v**3/3 - 1. Let z(k) be the third derivative of x(k). Factor z(m).
-2*(m - 2)*(m + 1)**2
Let v(b) be the first derivative of -2*b**3/9 - 8*b**2/9 - 8*b/9 + 11. What is c in v(c) = 0?
-2, -2/3
Let g(h) be the first derivative of 0*h + 1/13*h**2 + 2/13*h**3 - 1/26*h**4 - 5 - 6/65*h**5. Solve g(m) = 0.
-1, -1/3, 0, 1
Let n = -48 - -961/20. Let g(l) be the second derivative of 0*l**2 + 0 - 1/6*l**3 + 1/30*l**6 + 2*l + n*l**5 - 1/12*l**4. Suppose g(c) = 0. Calculate c.
-1, 0, 1
Factor -37*n + 39*n + 2*n**2 + 0*n**2.
2*n*(n + 1)
Let d(q) be the second derivative of 0*q**2 - 1/28*q**7 + 1/5*q**6 + 1/2*q**4 - 1/4*q**3 - 9/20*q**5 + 3*q + 0. Factor d(r).
-3*r*(r - 1)**4/2
Let g be 8/5 + (-4)/(-10). Find l, given that 19*l + l**3 - 2*l**g + 23*l - l**5 - 42*l + 2*l**4 = 0.
-1, 0, 1, 2
Let r(x) be the first derivative of -25*x**6/6 + 3*x**5 + 35*x**4/4 - 5*x**3 - 5*x**2 + 25. Solve r(a) = 0 for a.
-1, -2/5, 0, 1
Let o = -22 + 52. Suppose -5*m + o - 10 = v, m + v = 0. Factor 2*i + 1 + m - 3*i**2 - 4 - i.
-(i - 1)*(3*i + 2)
Let m(r) be the third derivative of r**8/42 - 2*r**7/21 + r**5/3 - r**4/3 + 4*r**2. Suppose m(v) = 0. What is v?
-1, 0, 1/2, 1, 2
Let g be 2/(-5) + (-1528)/960 - -2. Let y(d) be the third derivative of 0*d + g*d**6 + 0 + 0*d**3 + 0*d**5 - 1/24*d**4 - d**2. Find w such that y(w) = 0.
-1, 0, 1
Let p(m) be the second derivative of -2*m**6/75 - 3*m**5/25 + m**4/15 + 2*m**3/5 + m. Factor p(a).
-4*a*(a - 1)*(a + 1)*(a + 3)/5
Let t = 6 - 4. Suppose -m - t*m = 5*v - 24, m = -v + 6. Factor 2*r**3 - m + 4 + 2*r**4 - 2 - r + 2*r**2 - r**5 - 3*r**4.
-(r - 1)**2*(r + 1)**3
Let j(k) be the second derivative of k**7/14 - 3*k**5/20 - 3*k. Suppose j(o) = 0. What is o?
-1, 0, 1
Let r be (-8)/30*(-15)/40. Let u(w) be the first derivative of r*w**4 + 2/15*w**3 - 2/25*w**5 - 1/5*w**2 - 2 + 0*w. Solve u(q) = 0 for q.
-1, 0, 1
Factor 5*k**4 + 2*k + 5*k**5 - 10*k**3 - 21*k**2 + 3*k + 11*k**2 + 5.
5*(k - 1)**2*(k + 1)**3
Let y(m) = 4*m**3 - 16*m**2 + 14*m - 6. Let o(j) = 19*j**3 - 80*j**2 + 70*j - 31. Let w(l) = -2*o(l) + 11*y(l). Suppose w(q) = 0. What is q?
2/3, 1
Let p = 1841/180 - 51/5. Let s(l) be the third derivative of 1/18*l**3 + 0 - l**2 + 1/180*l**5 + p*l**4 + 0*l. Factor s(h).
(h + 1)**2/3
Suppose -5*b = 4 - 19. Find k such that b*k**2 - k**3 + 0*k - 3*k + 0 + 1 = 0.
1
Suppose -d = -5*d - 4*d. Factor 0*s - 3/4*s**2 + d.
-3*s**2/4
Let o(d) = -2*d**4 - 5*d**3 - 11*d**2 - 3*d. Let g(j) = j**3 - j**2 - j. Let k(y) = 6*g(y) - 2*o(y). Let k(b) = 0. Calculate b.
-2, 0
Let o(p) be the second derivative of p**7/210 - p**6/50 + p**5/50 + p**4/30 - p**3/10 + p**2/10 + 28*p. Suppose o(b) = 0. What is b?
-1, 1
Let u be 6/42*(-3 + 28/4). Factor u*l**4 - 4/7*l**2 + 0 + 2/7*l + 0*l**3 - 2/7*l**5.
-2*l*(l - 1)**3*(l + 1)/7
Let t = 493/10 + -199/5. Suppose 15/2*y**2 - 1 - t*y**3 + 7/2*y**4 - 1/2*y = 0. Calculate y.
-2/7, 1
Let g = -35 + 73/2. Factor g*j - 5/2*j**2 + 1.
-(j - 1)*(5*j + 2)/2
What is v in 2/9*v**5 + 0*v**2 - 4/9*v**3 + 0*v**4 + 2/9*v + 0 = 0?
-1, 0, 1
Let t(m) be the second derivative of -m**7/840 + m**6/180 + m**3/6 + 2*m. Let w(f) be the second derivative of t(f). Factor w(z).
-z**2*(z - 2)
Let z = -1138/15 - -76. Let d(k) be the first derivative of 0*k + 1 + 0*k**2 + 2/9*k**3 + z*k**5 + 1/3*k**4. Find r, given that d(r) = 0.
-1, 0
Solve 0 - 4/13*d + 2/13*d**2 = 0 for d.
0, 2
Let x(v) be the second derivative of -v**5/20 - v**4/6 - v**3/6 - v. Determine t, given that x(t) = 0.
-1, 0
Let k(n) = -n**2 - 6*n - 4. Let b be k(-4). Factor -75*g**2 + 74*g**2 + 0*g - g**b + 2*g**3 + 0*g.
-g**2*(g - 1)**2
Suppose -5*v + 31 = -2*o, -2*v - 6 = -16. Let p be (o/6)/(1/(-6)). Let -2 + 0*k - 9*k**2 - k**4 + 3*k**3 + 0*k**4 + 7*k + 2*k**p = 0. Calculate k.
1, 2
Let b(v) = v**2 - v + 1. Let x(f) = 3*f**2 - 2*f + 3. Suppose -q = -2*q + 8. Let g(i) = q*b(i) - 3*x(i). Determine n so that g(n) = 0.
-1
Let w = -2 + 5. Determine y so that -y**w + 5*y + 0*y**3 + y**4 - y - y**2 - 3*y = 0.
-1, 0, 1
Suppose 5*m - 16 = -y + 24, 5*y + m - 224 = 0. Suppose -x + 6*x = y. Factor -9*q - 2*q**4 - 8*q**3 - 8*q**2 + x*q.
-2*q**2*(q + 2)**2
Let v(l) be the third derivative of -l**5/15 - l**4/6 + 4*l**3/3 + 2*l**2. Let v(w) = 0. Calculate w.
-2, 1
Suppose 4/7*j**3 + 4/7*j**4 - 2/7*j - 8/7*j**2 + 4/7 - 2/7*j**5 = 0. Calculate j.
-1, 1, 2
Let r(t) be the second derivative of -t**4/84 + t**3/21 + 3*t**2/14 - 9*t. Factor r(z).
-(z - 3)*(z + 1)/7
Let a(n) = -11*n**2 - 16*n. Let l be 12/10 - 10/50. Let f(c) = -c**2 + 1. Let o(d) = l*a(d) - 4*f(d). Factor o(h).
-(h + 2)*(7*h + 2)
Suppose 2*u + 2 = -4*t + 6, -5*t + 8 = 4*u. Factor -4*n + 2 - n**2 + 5*n + t*n.
-(n - 2)*(n + 1)
Let d(c) be the third derivative of -c**5/12 + 10*c**3/3 - 22*c**2 - 2. Solve d(s) = 0 for s.
-2, 2
Let t(b) be the second derivative of 0 - 2*b - 1/18*b**4 + 4/9*b**3 - 4/3*b**2. Suppose t(k) = 0. Calculate k.
2
Let r(t) be the first derivative of -2*t**3/9 + 4*t**2/3 - 2*t - 76. Factor r(i).
-2*(i - 3)*(i - 1)/3
Suppose 2*d + 8 = u, -5*d - 11 = 2*u - 0*u. Solve 2*v**4 + 2*v - 2*v**2 + 5 - 5 - u*v**3 = 0.
-1, 0, 1
Let t = -222031/78 + 2847. Let p = t + 2/39. Find f such that -p*f**2 - 1/2 - f = 0.
-1
Let f(p) be the first derivative of -p**3/9 - 10*p**2/3 - 100*p/3 + 28. Factor f(z).
-(z + 10)**2/3
Let r = 14 + -10. Suppose -2*f - u = -0*u - 4, u - r = 3*f. Factor f + 1/2*s**2 + 1/2*s.
s*(s + 1)/2
Let j(r) be the third derivative of -r**11/665280 + r**10/302400 + r**5/12 + 2*r**2. Let s(h) be the third derivative of j(h). What is o in s(o) = 0?
0, 1
Let g = 21 + -19. Factor 0 - 1 - d**2 + 0*d**g + 2.
-(d - 1)*(d + 1)
Let y(v) = v**3 + 6*v**2 + 3*v - 6. Let j be y(-5). Factor -6 - 2*n**2 + 2*n**3 + 2*n**j + 6 - 2*n + 0.
2*n*(n - 1)*(n + 1)**2
Let g be (34/(-119))/((-6)/28). Find y such that g*y**5 - 1/3*y + 4/3*y**4 - 4/3*y**2 + 0 - y**3 = 0.
-1, -1/2, 0, 1
Let o(r) be the third derivative of -r**5/300 - r**4/30 - 2*r**3/15 + 20*r**2. Find k, given that o(k) = 0.
-2
Factor 1/2*t**3 + 0 - 3/2*t**2 + 3/2*t**4 - t + 1/2*t**5.
t*(t - 1)*(t + 1)**2*(t + 2)/2
Let f = -11 + 9. Let t(u) = -u**4 + u**3 + u**2 - u. Let w(v) = -3*v**4 + 2*v**2 + 1. Let c(a) = f*t(a) + w(a). Factor c(o).
-(o - 1)*(o + 1)**3
Let u(q) = -6*q**5 + 3*q**3 - 3*q**2. Let c(a) = 7*a**5 + a**4 - 3*a**3 + 3*a**2. Let h(y) = -3*c(y) - 4*u(y). Factor h(m).
3*m**2*(m - 1)**2*(m + 1)
Let j = 2 + 4. Suppose 5*g - 4 = j. Factor 5*x - 5*x + 3*x - 7*x**2 - g + 6*x.
-(x - 1)*(7*x - 2)
Let g(i) be the third derivative of 0 - 1/10*i**6 - 1/168*i**8 - 5*i**2 + 2/15*i**5 + | {
"pile_set_name": "DM Mathematics"
} |
*sqrt(19)
Simplify (0 + sqrt(175))**2 + -1*sqrt(700) + -1.
-10*sqrt(7) + 174
Simplify (sqrt(114)/(sqrt(24)/sqrt(4)))**2 - (-1*sqrt(19) + -2).
sqrt(19) + 21
Simplify (sqrt(143)*2)/sqrt(11)*3 + 3.
3 + 6*sqrt(13)
Simplify sqrt(95)/(2*sqrt(180)).
sqrt(19)/12
Simplify (sqrt(55) + sqrt(1375)*-1 + sqrt(1375))/sqrt(11).
sqrt(5)
Simplify (((sqrt(114) - (sqrt(114) - (1*sqrt(114) - sqrt(114))))*-6 + sqrt(114) - sqrt(114) - sqrt(114))/(sqrt(6) + sqrt(18)/sqrt(3)*-6))**2.
19/25
Simplify sqrt(12)/sqrt(64) + (-2 + sqrt(3))*-2.
-7*sqrt(3)/4 + 4
Simplify 1*sqrt(19)*2 + 6*sqrt(475).
32*sqrt(19)
Simplify (2*sqrt(102)*-1 - sqrt(102))/(sqrt(6) + sqrt(108)/sqrt(2)).
-3*sqrt(17)/4
Simplify -6*3*sqrt(17)*-2.
36*sqrt(17)
Simplify -3 + 3 + sqrt(1377)*-2 + -5.
-18*sqrt(17) - 5
Simplify (sqrt(125)*-1 + sqrt(125) + -2 - sqrt(125))**2.
20*sqrt(5) + 129
Simplify sqrt(8)/(sqrt(4) + sqrt(64) + sqrt(64) + (sqrt(64) - sqrt(64)*2 - sqrt(64))).
sqrt(2)
Simplify (sqrt(50)*4*5)/sqrt(10).
20*sqrt(5)
Simplify -2*(sqrt(153) + -3).
-6*sqrt(17) + 6
Simplify -3*((sqrt(500)/sqrt(10)*-5)/sqrt(10))**2.
-375
Simplify (5 + sqrt(117)/(sqrt(18)/sqrt(2)*-6)*3)**2.
-5*sqrt(13) + 113/4
Simplify -2 + (sqrt(245) + -2)**2.
-28*sqrt(5) + 247
Simplify 5 + 6*(sqrt(3) - (sqrt(27) + sqrt(3))**2).
-283 + 6*sqrt(3)
Simplify (2*sqrt(28)*2)**2.
448
Simplify -5 + ((sqrt(156)*1*-1)/(sqrt(120)/(sqrt(20)/sqrt(2))))**2.
8
Simplify ((1*sqrt(1300) - sqrt(1300))*6)**2 + sqrt(1300).
10*sqrt(13)
Simplify sqrt(98)*-2 + -4 + 6*-1*sqrt(98).
-56*sqrt(2) - 4
Simplify 5 + -1 + (sqrt(84)/sqrt(12))**2 + -3.
8
Simplify (sqrt(114)/(sqrt(6)*-1) + ((-2*sqrt(38)/sqrt(2))**2 - sqrt(19)))*1.
-2*sqrt(19) + 76
Simplify ((sqrt(19) - (sqrt(19) + sqrt(19) + sqrt(171) - sqrt(19))) + sqrt(19) + 2 - sqrt(19) - (sqrt(931) - (sqrt(931) + -1)) - (4 + sqrt(38)/sqrt(2) + 3))**2.
48*sqrt(19) + 340
Simplify (sqrt(60)/sqrt(5) - sqrt(12))/sqrt(6)*-4.
0
Simplify (3*sqrt(78)/(sqrt(24)*-2))**2.
117/16
Simplify -3*(sqrt(5) + (3 + sqrt(5) + 4 - sqrt(5)) + sqrt(5) + sqrt(5)).
-21 - 9*sqrt(5)
Simplify (0 + sqrt(30)/(-2*sqrt(6)))**2*-5.
-25/4
Simplify 3*sqrt(33)/(sqrt(12)/(-2*sqrt(4) + sqrt(4))).
-3*sqrt(11)
Simplify (-3*sqrt(75))**2*5.
3375
Simplify 5 + ((sqrt(13) - (0 + sqrt(637)))*1)**2.
473
Simplify (sqrt(5) - (sqrt(45) + 2) - sqrt(5)) + -4.
-3*sqrt(5) - 6
Simplify -1*(sqrt(11) + (sqrt(77) - 3*sqrt(77))/sqrt(7) + sqrt(11))*-1.
0
Simplify sqrt(132)/(sqrt(6)/sqrt(2)).
2*sqrt(11)
Simplify sqrt(11)*-1*4 + sqrt(110)/(sqrt(30)/sqrt(3)).
-3*sqrt(11)
Simplify -2 + 2*(sqrt(2) + -1)**2.
-4*sqrt(2) + 4
Simplify (5 + sqrt(132)/sqrt(12) + (sqrt(11) + 4)*-4)**2.
66*sqrt(11) + 220
Simplify -1 + sqrt(756)/(sqrt(12) + (sqrt(72)/sqrt(6) - sqrt(12))).
-1 + 3*sqrt(7)
Simplify 1*(sqrt(13) + (sqrt(13) + 0)**2) + 5.
sqrt(13) + 18
Simplify (sqrt(208)*-1 + -5 + sqrt(208))**2 - sqrt(156)/sqrt(192)*-2.
sqrt(13)/2 + 25
Simplify (-1*sqrt(600) + sqrt(6))/(sqrt(9)/sqrt(3)*6).
-3*sqrt(2)/2
Simplify (5 + (-2 + sqrt(1872) - sqrt(1872)))**2.
9
Simplify (1 + sqrt(98))*-6 + -2.
-42*sqrt(2) - 8
Simplify 4*((sqrt(76) + (sqrt(76) + 3 - sqrt(76)))**2 - (-3 + sqrt(19) - sqrt(19))**2*-3).
48*sqrt(19) + 448
Simplify (0 + sqrt(605))**2 + 4 - (-1 + sqrt(605) + 5).
-11*sqrt(5) + 605
Simplify (-1*-2*sqrt(539))**2 + 5.
2161
Simplify sqrt(34)/(sqrt(18)/(sqrt(18)/sqrt(2))).
sqrt(17)
Simplify sqrt(1300) + sqrt(1300)*-1 + -3.
-3
Simplify 1 + -5*sqrt(1584)*2.
-120*sqrt(11) + 1
Simplify 4 + 5 + sqrt(42)/sqrt(6).
sqrt(7) + 9
Simplify (sqrt(84)/(sqrt(16)/sqrt(8)))/sqrt(6).
sqrt(7)
Simplify 2 + ((sqrt(36) - 1*sqrt(36))/sqrt(12))**2.
2
Simplify (sqrt(26)/sqrt(2) + -4)**2 - (2*sqrt(130) - sqrt(130))/sqrt(10).
-9*sqrt(13) + 29
Simplify (-4 + -3 + sqrt(7)*-1)**2*-2 + 5.
-107 - 28*sqrt(7)
Simplify (-3 + (sqrt(1008)*-1 - sqrt(1008)) + 0)**2.
144*sqrt(7) + 4041
Simplify (sqrt(440) + sqrt(440)*1)/sqrt(10).
4*sqrt(11)
Simplify ((sqrt(6) - (sqrt(6) + sqrt(18)/sqrt(3)*4 - sqrt(6)))/sqrt(3) - ((sqrt(96)*-2)/sqrt(8) - sqrt(12))/sqrt(6))**2.
0
Simplify ((sqrt(99) - (1*sqrt(99) - sqrt(99)))/sqrt(3))/(-2*sqrt(12)).
-sqrt(11)/4
Simplify (sqrt(16)*-2*2 - sqrt(16))/sqrt(8) - ((sqrt(2) + 1)*-1 + 3).
-4*sqrt(2) - 2
Simplify 3*sqrt(21)/sqrt(3)*5.
15*sqrt(7)
Simplify 5*(sqrt(7) + 1) + sqrt(42)/sqrt(6) + 4.
9 + 6*sqrt(7)
Simplify sqrt(132)/(-6*sqrt(72)/sqrt(6) + sqrt(12)).
-sqrt(11)/5
Simplify (sqrt(77)*-2*1 - sqrt(77))/(sqrt(1584) + sqrt(1584)*2) + -5.
-5 - sqrt(7)/12
Simplify (-1 + sqrt(2057) + 1)**2 - (sqrt(2057) - (-3 + -2*sqrt(2057))**2).
121*sqrt(17) + 10294
Simplify (3*(0 + sqrt(32)))**2.
288
Simplify 0 + -1*6*sqrt(95)/sqrt(5).
-6*sqrt(19)
Simplify (2 + sqrt(7) + 0 + -1 + (0 + 0 + sqrt(7) - 2*(sqrt(7) + -1 - sqrt(7))))**2.
12*sqrt(7) + 37
Simplify -1*sqrt(684) + -5.
-6*sqrt(19) - 5
Simplify 5*(sqrt(2) + -1 + 5 - (sqrt(4)/(1*sqrt(2)))**2).
5*sqrt(2) + 10
Simplify (sqrt(75) + -1 - sqrt(75))**2 + 1 + sqrt(48).
2 + 4*sqrt(3)
Simplify (5*-2*sqrt(24))/(sqrt(400)/sqrt(2)).
-2*sqrt(3)
Simplify sqrt(33)/sqrt(3)*-3*5.
-15*sqrt(11)
Simplify 5*sqrt(78)/((sqrt(66) + (sqrt(66) + sqrt(66)*4 - sqrt(66)))/sqrt(11)).
sqrt(13)
Simplify (sqrt(95) + sqrt(95) + sqrt(95)*3)/sqrt(5) + (sqrt(1539) + 3)**2.
59*sqrt(19) + 1548
Simplify (sqrt(77)/(1*sqrt(567)))**2 + (0 + sqrt(176))*5.
11/81 + 20*sqrt(11)
Simplify (-5 + 5 + 1 + sqrt(475) + 1)**2.
20*sqrt(19) + 479
Simplify ((sqrt(70) - (sqrt(70) + sqrt(70)*-2))/sqrt(5))/(sqrt(175) + (sqrt(175)*-2 - sqrt(175))).
-sqrt(2)/5
Simplify (1*sqrt(64))/(-3*sqrt(32) + sqrt(8)).
-2*sqrt(2)/5
Simplify -5 + (-2 + sqrt(363) + 5 - sqrt(363)).
-2
Simplify (0 + sqrt(98) + 2)**2.
28*sqrt(2) + 102
Simplify 5 + (sqrt(128))**2.
133
Simplify 3 + (sqrt(2448) + -1)*4.
-1 + 48*sqrt(17)
Simplify (3*sqrt(144))/sqrt(3).
12*sqrt(3)
Simplify (2*sqrt(192) + sqrt(192) + 1 + sqrt(12)/sqrt(4))**2.
50*sqrt(3) + 1876
Simplify 0 + sqrt(1700) + 4.
4 + 10*sqrt(17)
Simplify (sqrt(119) - -1*(sqrt(119) + 2*sqrt(119)) - sqrt(119))/(sqrt(7) + sqrt(28)/sqrt(4)*-2).
-3*sqrt(17)
Simplify 3 + ((sqrt(252) - (sqrt(252)*1 - sqrt(252))**2)*6 - (sqrt(252) - (1 + sqrt(252) - sqrt(252)))**2*-2).
12*sqrt(7) + 509
Simplify ((sqrt(20)*-1)**2 - (sqrt(5) + 2*sqrt(45))) + (sqrt(720) - 2*(-1 + sqrt(720)) - sqrt(720)).
-31*sqrt(5) + 22
Simplify (0 + sqrt(1377) + -3*sqrt(153))**2.
0
Simplify 4*(-1 + sqrt(931)).
-4 + 28*sqrt(19)
Simplify (sqrt(30) + sqrt(120)*2 - sqrt(30))/(6*sqrt(160)).
sqrt(3)/6
Simplify sqrt(156)/((sqrt(72)*-1)/sqrt(6)).
-sqrt(13)
Simplify -5 + -2*sqrt(1100) + 3.
-20*sqrt(11) - 2
Simplify -5*((0 + sqrt(567))*-6)**2.
-102060
Simplify -5 + sqrt(42)/sqrt(54).
-5 + sqrt(7)/3
Simplify (sqrt(40)/sqrt(4))/sqrt(2) + (sqrt(60) - sqrt(15))/sqrt(3).
2*sqrt(5)
Simplify ((sqrt(64) - sqrt(64)*-1) + sqrt(4))/sqrt(2).
9*sqrt(2)
Simplify ((sqrt(88)*-2)/sqrt(4) + sqrt(22))/sqrt(11).
-sqrt(2)
Simplify -3*sqrt(39)/sqrt(3) - ((sqrt(39)*1)/sqrt(3))**2.
-13 - 3*sqrt(13)
Simplify (sqrt(147) + -2)*2 - sqrt(147).
-4 + 7*sqrt(3)
Simplify sqrt(1539) + 1 + 5 + ((sqrt(1539)*-1)**2 + sqrt(1539))*1.
18*sqrt(19) + 1545
Simplify (sqrt(40)/(sqrt(100) - sqrt(4)))/(sqrt(720)*2 - sqrt(720) - sqrt(720) - sqrt(5)).
-sqrt(2)/4
Simplify (5*(sqrt(833) + (sqrt(833)*-1*2 - sqrt(833)))*1)**2.
83300
Simplify (sqrt(325) - (1 + sqrt(325))**2) + 4.
-322 - 5*sqrt(13)
Simplify 4*(sqrt(17) - (3 + sqrt(17)*-2))*-1 + 0.
-12*sqrt(17) + 12
Simplify (6*sqrt(15)*-2)/(sqrt(3)*1*4).
-3*sqrt(5)
Simplify ((2*sqrt(5))**2 + 3)*4.
92
Simplify (sqrt(243) - (1 + sqrt(243) + 0)) + (sqrt(243) + ((sqrt(243) + 1)*-2 - sqrt(243)))**2 + sqrt(243).
81*sqrt(3) + 975
Simplify sqrt(343)*6 + 0.
42*sqrt(7)
Simplify ((1*sqrt(117) + sqrt(117))/sqrt(9)*1)**2 + (sqrt(26)/(sqrt(4)/sqrt(2)) - (1 + sqrt(13)*1)).
51
Simplify (-1*sqrt(576) - sqrt(36))/((sqrt(120)*-1 - sqrt(120))/sqrt(10)).
5*sqrt(3)/2
Simplify ((1*sqrt(99)*-1 - sqrt(99)) + 0)**2.
396
Simplify 1 + (3*sqrt(833))**2 + sqrt(833) + -3.
7*sqrt(17) + 7495
Simplify (sqrt(704)*-5)**2 + 3*sqrt(44).
6*sqrt(11) + 17600
Simplify (-2 + sqrt(432) + sqrt(432))**2.
-96*sqrt(3) + 1732
Simplify (sqrt(539) + sqrt(539)*-2)*3*3.
-63*sqrt(11)
Simplify -6*(sqrt(175) + sqrt(175)*2)**2.
-9450
Simplify ((sqrt(154) + 2*sqrt(154))/sqrt(7))/(sqrt(396) + -1*sqrt(396) - sqrt(396)).
-sqrt(2)/2
Simplify (2*sqrt(11)*-5 + -2)*-1.
2 + 10*sqrt(11)
Simplify (sqrt(612) + -1 - (sqrt(187)*1 + sqrt(187))/sqr | {
"pile_set_name": "DM Mathematics"
} |
llest common multiple of p(-5) and c(-5)?
7
Suppose -12147 = -30*w + 13923. What is the least common multiple of 10 and w?
8690
Calculate the common denominator of 61/10 and (-242)/48*15*1/(-50).
80
Let p = 241546433/268 - 901302. Let k = -6/67 - p. Calculate the common denominator of (2/(-6))/(150/(-2790)) and k.
20
Let s = -380 - -576. What is the lowest common multiple of s and 308?
2156
Let h = -1359069/25135 + -13902/457. Let k = -799/10 - h. Find the common denominator of (-4 - (-1116)/448) + (-3)/7 and k.
176
Let x = 49 + -47. What is the lowest common multiple of x and 11?
22
Suppose 2*k = -b + 18, -2*b - 9 = -k + 5. What is the smallest common multiple of k and 38?
190
What is the common denominator of 157/132 and 12/300*5 + (-232)/(-990)?
396
Let a = 15 - -41. Let v = -756 + 806. Calculate the least common multiple of a/10 + (-4)/(-10) and v.
150
Suppose h = 2*u - 7, -5*h - 10 - 45 = -5*u. Calculate the common denominator of -99/40 and ((-12)/h + (-87)/90)*139.
120
Let q = 3332 - 20123/6. Calculate the common denominator of 772/(-24) - -4 - -3 and q.
6
Suppose -3*k - 5*k = -2*k. Calculate the common denominator of 17/28 and 62/(-8) + 1/(2 + k).
28
Let f be (-4)/(-10) + 2065/25. Let m = f - 163/2. Let o = -18281/14 - -1304. Calculate the common denominator of m and o.
14
Let y(q) = -q**3 + 12*q**2 - 12*q + 7. Let g be y(11). Let x = 10411/10 - 1043. Find the common denominator of (-125)/18 - ((g - -3) + 0) and x.
90
Let d = 1293 + -1277. Suppose -3*n = 3*f - 8*f - 34, -4*n + 3*f + 38 = 0. What is the smallest common multiple of n and d?
16
Let c = -934 - -31781/34. What is the common denominator of c and (153/(-48))/(-26 + 27)?
272
Let q = -10/327 - -6689/1308. What is the common denominator of 68/9 and q?
36
Let o = -1067 + -538. Let k be ((-20)/(-50))/(1/o). Calculate the common denominator of -11/8 and k/9*1/8.
24
Let y = 50 - 82. Calculate the common denominator of 74/9 and 252/y + -2 + (-3)/(-3).
72
Let u = 39883709/144 - 276969. Let f = -1/72 + u. Let o = 2/95 - 1961/190. What is the common denominator of o and f?
80
Suppose 3*q + 20 = 83. Let x = 9992/9 + -1109. What is the common denominator of x and (-261)/q*(-2)/6?
63
Let j = -2399 + 16847/7. What is the common denominator of ((-21)/8)/((-18)/152) and j?
42
Let k = -1/9100 - -1821/9100. Find the common denominator of (3/4)/(2/60) and k.
10
Let t = 5119/6 - 851. Calculate the common denominator of (-79)/2*(18/24 - 1) and t.
24
Calculate the common denominator of -91/50 and -126*((-9)/(-24))/(9/6).
50
Suppose 5*w + 2*l - 2115 = 7*l, -2*w + 3*l + 847 = 0. Let j be 260/4736*w - 0. Let t = j - 1/1776. What is the common denominator of t and 41/11?
66
Let p(b) be the second derivative of -b**5/20 + 7*b**4/6 - 13*b**3/2 - 9*b**2/2 + 17*b. What is the smallest common multiple of p(10) and 26?
26
Suppose 0 = 3*l - 61 + 28. What is the lowest common multiple of l and 88?
88
Let h = 3394022/121 + -28050. Calculate the common denominator of h and -55/8.
968
Calculate the common denominator of 25/44 and 2442/(-100) - (-12)/300*-2.
44
Let g = 978 + -29327/30. Let f be 4/(-8) - (-16)/(-6). Let p = f - g. Find the common denominator of p and -23.
5
Suppose 3*f - 2*a + 2 = -1, 0 = -4*f + 3*a - 5. What is the lowest common multiple of (-8)/(2/f) - -40 and 3?
36
Suppose z = 5*c + 1, -11 = -5*c + 4. Let g = 14 - z. Calculate the lowest common multiple of 2/g*(0 + -3) and 18.
18
Let f = 12 - 2. Suppose -2*q + 5*q = 0. Suppose q = -2*k + 4*k - 22. What is the least common multiple of k and f?
110
Let g be 2/7 + (-1 - 10578/(-14574)). Let o = g + 16289/1735. Let y = 8703/5 + -1734. Find the common denominator of o and y.
5
Let k = 115 + -39. Suppose -4*i + 2*b + 28 = 0, 22 = 4*i - 50*b + 51*b. Calculate the least common multiple of k and i.
228
Calculate the lowest common multiple of (-976)/(-18) - (-7)/(-189)*6 and 18.
54
Suppose r + 11 = -3*p - r, 4*p - 4 = 2*r. Let k be (p - 3)*(6 + -2). Let o = -4 - k. Calculate the smallest common multiple of o and 20.
60
Let f(d) = -60*d - 8. Calculate the smallest common multiple of f(-8) and 22.
5192
Let k = 758 - 461. Let a = 1715/6 - k. Let r = -1/472 + 18883/1416. Find the common denominator of r and a.
6
Let p(x) = -21*x**2 + 3*x + 128. Calculate the smallest common multiple of (-8)/(1/(5/(-2))) and p(0).
640
Let a = -187029388268071/3308439 + 56531007. Let f = a - -86955702217/33084390. Let l = 2636 - f. Find the common denominator of l and 6/7.
70
Let u = 474 + -462. Calculate the smallest common multiple of u and 12.
12
Suppose 2*l - 4 - 16 = 0. Calculate the lowest common multiple of (9/5)/((-1)/(-5))*(87 - 84) and l.
270
Let g be (((-100)/(-15))/10)/(1/75). Let w = -39 + g. What is the least common multiple of w and 5?
55
Let i = -61 - -79. Suppose -i = 7*j - 8*j. Calculate the least common multiple of 30 and j.
90
Calculate the common denominator of -99/206 and -2 + (-278)/(-12) + 23 + -26.
618
Let g be 409/(-28) - (3 + -1). Let c = -90/7 - g. Let p = -1589 + 15817/10. What is the common denominator of c and p?
20
Suppose 5*g - 135 = 5*b, -b + 1 = g + 26. Let q = 61 + -25. Let j = b + q. What is the lowest common multiple of 10 and j?
10
What is the smallest common multiple of 652 and 6 + (2 - 3) + 4?
5868
Suppose -3*q + 0*q + 48 = 0. Suppose -r = -2*r + q. Let k(p) = p**2 + 21*p - 638. Calculate the least common multiple of k(-38) and r.
16
Let k(l) = l**3 + 3*l**2 + 3*l + 3. Let f be k(-2). Let d be ((0/f)/4)/(-1). Find the common denominator of 10/3 and (2 - d) + (-13)/(-4).
12
Suppose -h = -4*z + 84, z = h - 0*h + 24. Calculate the smallest common multiple of 20 and z.
20
Suppose 0 = -58*d + 52*d + 12. What is the least common multiple of 5 and d?
10
Suppose 3 + 12 = -3*u. Calculate the lowest common multiple of 12 and 40*u/50*-5.
60
Suppose -j - 36 = -3*j. Suppose 7*b + 5*v = 10*b - 96, -128 = -4*b + 5*v. Calculate the smallest common multiple of b and j.
288
Suppose 3*b = 4*l - 4, -2*b + 1 - 13 = 2*l. Let a be (-2 - (-15436)/(-108)) + l. Let k = a + 149. Find the common denominator of k and -57/7.
189
Let z be ((-1046)/10)/(42/1505). Let l(b) = 29*b**3 + 5*b**2 - 4*b + 10. Let v be l(5). Let g = v + z. What is the common denominator of -15/16 and g?
48
Let h(k) = 2*k**2 - 30*k + 20. Let s be h(15). Suppose 4*u = -u + s. What is the least common multiple of u and 22?
44
Let f = -4412 - -3014. Let h be (12/f)/(4/6). Let a = -3071/3262 - h. Calculate the common denominator of a and -17/22.
154
Suppose 4*j = 2*j - 5*b + 6, 2*j - 6 = -3*b. Suppose -j - 6 = -3*y. Suppose y*a - 5*g + 5 = 1, -5*g = 2*a - 14. What is the smallest common multiple of a and 3?
6
Suppose -35*f = -40*f + 30. Let q(n) = n**3 + 3*n**2 - 2. Calculate the least common multiple of q(-2) and f.
6
Let u = -64327/231 + 1965/7. Find the common denominator of 37/55 and u.
165
Let o = 5/118 + 22/177. Calculate the common denominator of 43/42 and o.
42
Let a(i) be the third derivative of -i**5/60 + 7*i**3/2 - 6*i**2 + 1. Calculate the smallest common multiple of a(-4) and 39.
195
Suppose -528 = -4*u - 0*u. What is the smallest common multiple of 12 and u?
132
Let j = 307/5 - 2334/35. Calculate the common denominator of 61/106 and j.
742
Let h = -17 + 25. Suppose 4*a - 19 = j, 12 = 4*j - h*j. Calculate the smallest common multiple of a and 3.
12
Let t = 9/2294543 - -401689581029/45890860. Let u = -8756 + t. Find the common denominator of u and -3/68.
340
Let q = -124601/68628 - -730/301. Calculate the common denominator of q and -22/21.
1596
Let s be (-6)/33 + 473745/(-198). Let q = 2398 + s. What is the common denominator of 61/9 and q?
18
Let a = 41980 + -86623/2. Let o = 1365 + a. Find the common denominator of o and 91/4.
4
Let a = 53/44 + -597/176. What is the common denominator of 1241/68*-6*2/6 and a?
16
Let t = 629/30 - 33/10. Calculate the common denominator of t and -60/427.
1281
Calculate the least common multiple of 123694/322 - (3 - (-40)/(-14)) and 480.
1920
Let r be 2/(-6) + 10/(-15). Calculate the lowest common multiple of 5 and (3 - -1) + r + 1.
20
Let h = 239795 + -8872950/37. Let t = h + 5005/666. Let x = 533/12 + -83/3. Find the common denominator of x and t.
36
Let f(d) = -d**3 + 3*d**2 + 3*d - 8. Let b be f(2). Find the common denominator of b/(-7) + 4 + -4 | {
"pile_set_name": "DM Mathematics"
} |
69
In base 5, what is -311034 + -303?
-311342
In base 15, what is 1820 - 20?
1800
In base 9, what is -150 - -517?
357
In base 14, what is -d6 + b95?
a9d
In base 5, what is 4013233 + -4?
4013224
In base 2, what is 11011100111100 - -1?
11011100111101
In base 6, what is 54045 - -3?
54052
In base 4, what is -10021112 + -113?
-10021231
In base 5, what is -3 + 314324?
314321
In base 6, what is 23554 + -1500?
22054
In base 15, what is -4c - -51?
4
In base 9, what is 2558 - 0?
2558
In base 3, what is 2121102021212 + -2?
2121102021210
In base 7, what is 13246143 - 5?
13246135
In base 3, what is -122110 + 121201?
-202
In base 14, what is -3 + -4829?
-482c
In base 3, what is -100100012 + -12?
-100100101
In base 2, what is -110 - -1000011010000001000?
1000011010000000010
In base 10, what is 4 + 6076?
6080
In base 13, what is 1b2 + 2b6?
498
In base 15, what is -5 + -23db?
-23e1
In base 12, what is -5 + -b2b50?
-b2b55
In base 8, what is -206 - -6241?
6033
In base 14, what is 743 + -31?
712
In base 7, what is 15235356 - -3?
15235362
In base 16, what is 75 + -54?
21
In base 14, what is 15 + 198?
1ad
In base 11, what is 0 + 498749?
498749
In base 14, what is -48 - 99?
-103
In base 16, what is -c5 - 64d?
-712
In base 10, what is 5546 + 37?
5583
In base 2, what is 111 + 1000111010?
1001000001
In base 12, what is -34a7 + 172?
-3335
In base 8, what is -242 + -4302?
-4544
In base 11, what is 341367 + -4?
341363
In base 15, what is -1907e + 8?
-19076
In base 11, what is 6073 + -26?
6048
In base 15, what is 7 - 16c991?
-16c989
In base 6, what is 104414 + -105?
104305
In base 7, what is 64633 + 42?
65005
In base 4, what is 2312022 + 1001?
2313023
In base 2, what is -1000110011 + 10100001?
-110010010
In base 13, what is -312 - 73?
-385
In base 12, what is -89 - -6198?
610b
In base 4, what is 13001020113 + 10?
13001020123
In base 16, what is 1593 + -42?
1551
In base 8, what is -1000067 - 6?
-1000075
In base 5, what is 4023121 - 31?
4023040
In base 9, what is 2 + 38572?
38574
In base 13, what is 2 - -24c6ab?
24c6b0
In base 16, what is 62e - -ad?
6db
In base 10, what is -14103 - -3?
-14100
In base 15, what is 3163c + -9?
31633
In base 11, what is a579 + 5?
a583
In base 12, what is 179 + -310?
-153
In base 2, what is -101010001100 - -1101?
-101001111111
In base 12, what is 35a0 + a1?
3681
In base 8, what is 3 + 1565137?
1565142
In base 6, what is 0 + -1053104?
-1053104
In base 14, what is -2 - 5dd3?
-5dd5
In base 6, what is 12 + 11403?
11415
In base 5, what is -100343 - 134?
-101032
In base 13, what is 4 + 61ac?
61b3
In base 12, what is 1099 - -11?
10aa
In base 3, what is 11 + -1220200010?
-1220122222
In base 2, what is -110110011 + 11101011?
-11001000
In base 12, what is -6 + -358a?
-3594
In base 12, what is -734 - -10a?
-626
In base 8, what is 4 + 156404?
156410
In base 5, what is 111 + -42301?
-42140
In base 15, what is -19 + 196?
17c
In base 3, what is 10 + -211201001?
-211200221
In base 13, what is 3588 - b?
357a
In base 12, what is -49 - -16978?
1692b
In base 10, what is 4 - 325432?
-325428
In base 13, what is -19bc22 + -5?
-19bc27
In base 9, what is 0 + 48863?
48863
In base 14, what is 8 + -2a41?
-2a37
In base 15, what is 3d3e1e + -2?
3d3e1c
In base 16, what is -4 + 5bb3?
5baf
In base 6, what is -2 + 452522?
452520
In base 13, what is b8a - -86?
c43
In base 2, what is 1100010 + -1110111?
-10101
In base 7, what is 4441 - 33?
4405
In base 9, what is 35 + -3848?
-3813
In base 3, what is 1 - -2011001021201?
2011001021202
In base 2, what is -11110011 - -11111?
-11010100
In base 11, what is 11 - 5485?
-5474
In base 5, what is 4 - 1013130?
-1013121
In base 6, what is 1253 - -4204?
5501
In base 2, what is 1110011011101111 - 1?
1110011011101110
In base 13, what is -ca92 - 2?
-ca94
In base 9, what is -174431 - 4?
-174435
In base 7, what is -4 + -1035004?
-1035011
In base 4, what is 10110110 - -102?
10110212
In base 16, what is 1d3 - 2f?
1a4
In base 12, what is 4 + -3a7a4?
-3a7a0
In base 2, what is 11 + 11000111110100000?
11000111110100011
In base 7, what is 60325 + -1?
60324
In base 8, what is -1756053 - 2?
-1756055
In base 6, what is 4 + 102250?
102254
In base 14, what is 4 - 1cb18?
-1cb14
In base 4, what is 21202 + 10132?
32000
In base 5, what is -32111041 - 2?
-32111043
In base 5, what is 0 + 140001?
140001
In base 6, what is -23533 + 4?
-23525
In base 7, what is -11 + -55433?
-55444
In base 16, what is 16ed5 - -2?
16ed7
In base 10, what is -3 + 15164?
15161
In base 13, what is -425227 + 4?
-425223
In base 3, what is -1 + -222210001?
-222210002
In base 14, what is c61 - 17?
c48
In base 16, what is -6a - -2e7?
27d
In base 16, what is -1137 - -4?
-1133
In base 15, what is 52 - 67ec?
-679a
In base 3, what is -101122 + -100121?
-202020
In base 16, what is -92b + -7?
-932
In base 5, what is 3314142 + 221?
3314413
In base 8, what is 1102 + -72?
1010
In base 3, what is 11022101102 + -1012?
11022100020
In base 14, what is 34 + dddb?
10031
In base 10, what is 4104400 + -2?
4104398
In base 12, what is -85 + 5?
-80
In base 14, what is -131c + 42?
-12ba
In base 10, what is 5 - -235449?
235454
In base 4, what is 10 + 130101322?
130101332
In base 12, what is 4 + -9b19?
-9b15
In base 5, what is -2020044422 + -1?
-2020044423
In base 6, what is 4344 + 50?
4434
In base 10, what is 457241 + -2?
457239
In base 11, what is -5a + 18440?
18391
In base 8, what is -13 - 624053?
-624066
In base 11, what is 518a + 207?
5396
In base 12, what is -93a8 + 14?
-9394
In base 5, what is 12 - 100303421?
-100303404
In base 16, what is -25 - -12?
-13
In base 7, what is -33233154 + 4?
-33233150
In base 5, what is 200 - -11400?
12100
In base 16, what is -165 - 85?
-1ea
In base 7, what is 5263563 + -1?
5263562
In base 11, what is 4 - 22906?
-22902
In base 14, what is -3 - -235b?
2358
In base 14, what is -5 + 182d6?
182d1
In base 3, what is 1011 - -1002221?
1011002
In base 10, what is 10660004 - 0?
10660004
In base 14, what is 6dc + 82?
780
In base 2, what is 1010100011 + -1010101000100?
-1001010100001
In base 13, what is a8 + -69?
3c
In base 9, what is 2 + -28524?
-28522
In base 5, what is 21 - 1243?
-1222
In base 13, what is 13590 - -51?
13611
In base 4, what is 2332322 + 0?
2332322
In base 16, what is b + -808?
-7fd
In base 2, what is 1111110 + -11011011?
-1011101
In base 14, what is -1 + -4812?
-4813
In base 10, what is -1 - -12725?
12724
In base 2, what is 111100110 - 101011111?
10000111
In base 15, what is 0 - -98b2e?
98b2e
In base 2, what is 101 - 10101110000011001?
-10101110000010100
In base 7, what is 3 - 50563?
-50560
In base 2, what is -1001111111110101010110 + -100?
-1001111111110101011010
In base 16, what is 9 + -1409?
-1400
In base 14, what is 2d9d3 - 5?
2d9cc
In base 10, what is -3 + 81879?
81876
In base 3, what is 12220222222 - 101?
12220222121
In base 6, what is 4 - -3121340?
3121344
In base 13, what is 5a3b + -5a?
59b1
In base 3, what is 10120111 - -202?
10121020
In base 16, what is -3bdd8 - 2?
-3bdda
In base 7, what is 1120 + -100?
1020
In base 16, what is -151 + 378?
227
In base 13, what is c8 + 3ba0?
3c98
In base 15, what is 7d - 535?
-4a7
In base 10, what is -3831 + -188?
-4019
In base 14, what is 1134a - 2?
11348
In base 15, what is -20b3 + 13?
-20a0
In base 3, what is 10210002 + -1?
10210001
In base 7, what is 1 - -243065?
243066
In base 15, what is -73 + -c3?
-146
In base 7, what is 0 + -661?
-661
In base 2, what is 101110 + -10110010100110?
-10110001111000
In base 14, what is 5 - 1bd3?
-1bcc
In base 7, what is -131023 - 11?
-131034
In base 10, what is -1 - -25482?
25481
In base 4, what is 1020311 - 3?
1020302
In base 8, what is 4 + 2503255?
2503261
In base 7, what is -11365252 - 4?
-11365256
In base 6, what is -34 + 122223?
122145
In base 15, what is -672 - 20?
-692
In base 16, what is -f9 + 3b?
-be
In base 15, what is 12975 - -9?
1297e
In base 2, what is -10 + -1001010000100001?
-1001010000100011
In base 13, what is -2 - -4a4?
4a2
In base 13, what is 3a9b0 + -3?
3a9aa
In base 13, what is 3 - 14a88a?
-14a887
In base 6, what is -12 + 35012?
35000
In base 12, what is 1689b + -19?
16882
In base 6, what is -1121101 - -4?
-1121053
In base 13, what is 3604 + -4?
3600
In base 13, what is 728a + 15?
72a2
In base 8, what is -56 + -131252?
-131330
In base 14, what is -4 - 3730?
-3734
In base | {
"pile_set_name": "DM Mathematics"
} |
-1/61
a
Which is the closest to 0.17? (a) 58 (b) 0.1 (c) 230
b
Which is the nearest to 3/4? (a) -0.1 (b) 8 (c) -3/4 (d) -0.0079
d
What is the closest to -2 in 0, 3, 1.8, -3, 7?
-3
Which is the nearest to 3/8? (a) -1/2 (b) -1 (c) -4 (d) 0.7 (e) -2
d
What is the nearest to 0 in -1719, 0.4, 1/11?
1/11
Which is the nearest to 40? (a) -3/20 (b) 3/5 (c) -5
b
What is the nearest to 10/9 in -2/77, 3/5, 0.008?
3/5
Which is the nearest to -1? (a) 0.1 (b) 0 (c) 2169 (d) 0.4 (e) -1
e
What is the closest to -1/9 in -0.16, -3, -2/99, 0.4?
-0.16
Which is the closest to 0.1? (a) 0.1 (b) -4164 (c) -5 (d) 5
a
What is the closest to 9 in -0.03, -9, -0.4?
-0.03
What is the closest to -92 in 4/7, -43, -0.5?
-43
What is the nearest to -2.7 in 11, -1/8, -0.7, 0.1?
-0.7
What is the nearest to 0.2 in 1, 3, -0.1, 116.02?
-0.1
Which is the nearest to 22? (a) 0 (b) 1 (c) -118
b
Which is the nearest to 0.2? (a) 125 (b) -421 (c) 0.3
c
What is the closest to 7/11 in -2/9, 3, 7/4?
-2/9
Which is the closest to 92? (a) 1/3 (b) 1 (c) -2/3 (d) 134/5
d
What is the nearest to -0.1 in -5, 2/3, 1.48, -4, 3?
2/3
Which is the nearest to 65? (a) 0.03 (b) -3/5 (c) 0.4 (d) -0.4
c
Which is the nearest to 23/4? (a) 1/3 (b) -13 (c) -0.4
a
Which is the closest to 8? (a) 3 (b) 0.1 (c) -5 (d) 1 (e) -0.3
a
What is the closest to 1 in -710, 6, 60?
6
Which is the closest to -163/15? (a) 32 (b) -5 (c) -2/9 (d) 5
b
Which is the nearest to -0.6? (a) -26 (b) 5 (c) 3/11 (d) -1
d
What is the nearest to 0 in 42, 1/12, -3/362, 4?
-3/362
What is the closest to 1 in -193, -10, 2?
2
Which is the closest to 8? (a) 0.3 (b) 25 (c) 7/6 (d) -3/2
c
What is the closest to -0.3 in -2/7, 2/7, 1/1451?
-2/7
Which is the closest to 1/4? (a) -3/2 (b) -3 (c) -6 (d) 49
a
What is the closest to -1 in -49, 3/4, 2, -188?
3/4
Which is the closest to 160? (a) 0 (b) -3 (c) 0.3 (d) 48/5
d
Which is the closest to -2/3? (a) -2 (b) -2/5 (c) 0.04 (d) 2/13 (e) -4.6
b
What is the closest to -9 in 1.6, 2, 57?
1.6
What is the closest to -2.21 in -1, 4, -5, -14?
-1
Which is the closest to 6? (a) -0.0084 (b) -1 (c) -2 (d) 2
d
What is the closest to 2 in 0.5, -0.02, 0.3, 0?
0.5
Which is the closest to 0? (a) -2 (b) -1 (c) 0.4 (d) -37.6 (e) 22
c
What is the closest to -1 in 0.05, 11, -0.08, 3?
-0.08
What is the nearest to -0.208 in -0.2, -4, -7, -1?
-0.2
What is the nearest to -1/4 in -4, -11602, -3?
-3
Which is the nearest to 430? (a) 2/7 (b) 6.2 (c) 2 (d) 6
b
Which is the closest to 0.3? (a) 4 (b) 3/7 (c) -10/16457
b
Which is the nearest to 22/17? (a) -6/61 (b) 5/8 (c) 1
c
Which is the nearest to -3/4? (a) 26 (b) -4 (c) -16
b
Which is the nearest to 0? (a) 1 (b) -6 (c) -7 (d) 1/249
d
Which is the nearest to 0.6? (a) -3/10 (b) -0.15 (c) -0.1
c
Which is the nearest to -1? (a) -0.5 (b) 2 (c) -2.48 (d) -0.1
a
Which is the nearest to -6? (a) -0.3 (b) 2 (c) 19549
a
Which is the nearest to 3? (a) 27 (b) 0.0757 (c) -1
b
What is the closest to 2 in 2, 1/5, 50.2?
2
What is the closest to -1/2 in 0.2, 2/1055, 1, -15?
2/1055
Which is the nearest to 1? (a) 0 (b) -0.1 (c) 57 (d) -11/4
a
Which is the nearest to 34/23? (a) -0.2 (b) -1/3 (c) -4/23
c
Which is the closest to -0.1885? (a) -4 (b) 3 (c) 1
c
What is the nearest to -7 in -0.075, 5, -6?
-6
What is the closest to 240103 in 1, 0.2, -2?
1
Which is the closest to 24? (a) 1 (b) 2/21 (c) 1.3 (d) 9
d
Which is the nearest to -1? (a) 26 (b) 5 (c) 0.3 (d) 2/137 (e) 3/4
d
Which is the closest to 0? (a) -0.7 (b) -7 (c) 2 (d) -4 (e) 489
a
Which is the nearest to 56? (a) -13/2 (b) -5 (c) 2/7 (d) -1/3 (e) -1
c
Which is the nearest to 0.1? (a) -20 (b) 3 (c) -18.8 (d) 0.4
d
What is the closest to -5/2 in -1.8, -5/9, 4?
-1.8
What is the closest to 0.1 in 0.3, 3/42908, -3?
3/42908
Which is the nearest to 0? (a) -3364/7 (b) 20 (c) 2/15 (d) 2
c
What is the closest to -1 in 8, 5.02, 3?
3
What is the closest to 3 in -2/21, -4, -137/4?
-2/21
Which is the nearest to 2/3? (a) -4 (b) 0.0831 (c) -3
b
Which is the nearest to 111? (a) 1 (b) 51 (c) 1/3
b
Which is the nearest to 16? (a) 177/8 (b) 6 (c) 0
a
Which is the closest to 1/163? (a) 0.08 (b) 2/23 (c) 2
a
What is the nearest to -0.3 in -4.77, 0.3, -5?
0.3
Which is the closest to 6? (a) -2/3 (b) 11 (c) 1.3 (d) -3/2 (e) 2/5
c
What is the closest to -1.0206 in -1, 1/28, 4?
-1
Which is the closest to -2/3? (a) 196 (b) 4/7 (c) -16
b
What is the closest to -2/15 in 0.3, -1960, 2, -1/2?
-1/2
What is the nearest to -5/7 in -3/4, -33, -1/5?
-3/4
What is the nearest to -12618 in 2/9, 2, 3/4, 4?
2/9
Which is the closest to -0.6? (a) -0.0105 (b) 1/2 (c) 8 (d) -0.2
d
What is the nearest to -2/7 in -3, 5, 494, 12?
-3
Which is the nearest to -25? (a) 3/5 (b) -3 (c) -4 (d) -5 (e) 0
d
What is the nearest to -1/4 in 1/4, 6, 2, -83?
1/4
What is the closest to 0 in 1/8, -25, 0.098?
0.098
What is the nearest to 0.1 in -5, 1020, -3, 3, -0.2?
-0.2
Which is the nearest to 45? (a) 2/5 (b) 13 (c) 0.03
b
What is the closest to -68 in -10/7, 4, 2/19, -3?
-3
Which is the closest to 23? (a) -241 (b) -0.2 (c) -0.6 (d) -5 (e) -0.4
b
Which is the nearest to 2? (a) 2/7 (b) -23 (c) -4 (d) -20 (e) 0.2
a
Which is the closest to 1/2? (a) 3 (b) 28 (c) 498
a
What is the nearest to 1 in 91/12, -18/25, 0.5, -3?
0.5
Which is the closest to 0.09? (a) 2/11 (b) -0.3 (c) -1 (d) 4/5
a
What is the closest to 11/7 in -2, 0, 1/31, 7?
1/31
What is the nearest to 0.7 in -4, 240, -2/3?
-2/3
Which is the closest to 0.19? (a) -6 (b) 53 (c) 1
c
What is the closest to -0.1 in 1, -10, 250?
1
Which is the nearest to -0.1? (a) -11 (b) 0 (c) -57.83
b
Which is the nearest to -1? (a) -0.04 (b) -0.3 (c) -22 (d) 5
b
Which is the closest to 1/3? (a) -14610 (b) 2 (c) 0.1 (d) -0.1
c
What is the nearest to -3 in -7, 6/11, -1/28, 4?
-1/28
Which is the closest to 8? (a) -2 (b) -184 (c) 0.5
c
Which is the nearest to 0.2? (a) -0.64 (b) -4 (c) 7 (d) -0.197
d
What is the closest to 12/241 in -12, 0.5, 3/8?
3/8
What is the closest to 612 in 0.4, 0.9, 3?
3
What is the nearest to 65 in 0.3, -3/4, -7/166?
0.3
Which is the closest to 0? (a) 11 (b) 0.21 (c) 1/10
c
What is the nearest to 1/2 in -19, 2, 0, 29, -5?
0
Which is the closest to -0.1? (a) -1/4 (b) -6 (c) 0.02 (d) 1 (e) -9.54
c
Which is the nearest to 0? (a) 708 (b) -14 (c) -0.05
c
Which is the nearest to -123? (a) 0.022 (b) 5 (c) -18
c
What is the nearest to -1/3 in 5/2, 0.1, 18042?
0.1
What is the closest to 0.1 in -3, 1451, -0.04?
-0.04
What is the closest to -2/37 in -79, 1, 2?
1
What is the nearest to -2/31 in 2/3, 1/29, -113, -5, -4?
1/29
Which is the closest to 2? (a) -2 (b) 3 (c) 185 (d) 2 (e) -1/2
d
What is the closest to 1 in 4, -12, 1.36?
1.36
Which is the nearest to 1? (a) -9 (b) -5 (c) -0.5 (d) 1/50 (e) 41
d
What is the closest to 1/2 in -0.5, 4, 0, 3/5, 1/5?
3/5
Which is the closest to 39? (a) -0.3 (b) 17 (c) -4 (d) 0.8
b
What is the nearest to -0.1 in 0.3, 0, 0.484, -1?
0
Which is the nearest to -5? (a) 0.82 (b) -0.1 (c) -2/7 (d) -2 (e) 4/5
d
What is the closest to 2 in -2, 7, -530?
-2
Which is the closest to -68/5? (a) 2/649 (b) -2/7 (c) -1
c
What is the closest to 2 in -5, -2/3, -0.506, -2, -0.3?
-0.3
Which is the nearest to 29? (a) -4 (b) -0.3 (c) 22 (d) -2/13
c
Which is the closest to 0? (a) -5 (b) -38 (c) 1/2 (d) 1 (e) 0.126
e
What is the closest to 1853 in -1/7, 0.5, -3?
0.5
Which is the nearest to 0.1? (a) 17 (b) 55 (c) 0.12 (d) 4
c
Which is the nearest to -2? (a) 1/9 (b) -0.5 (c) 1.4944
b
Which is the closest to -0.2411? (a) 3/5 (b) 10/3 (c) 1/5
c
What is the nearest to -1/5 in 1, 0.03, 4, 8, -23/3?
0.03
What is the nearest to 0.2 in 0.52, 5, 3, -0.7, 3/4?
0.52
What is the nearest to -0.07 in 0, -6.43, 1/6?
0
Which is the nearest to -11? (a) 0.2 (b) 0 (c) 64
b
Which is the nearest to -1/2? (a) 0 (b) 0.43 (c) 6/11 (d) -0.7
d
What is the closest to -4304 in 1, 0.5, 0.1?
0.1
Which is the nearest to 0.035? (a) -4 (b) 66 (c) -5
a
Which is the closest to -48? (a) 3 (b) 1 (c) 0.34 (d) -4 (e) -2/19
d
What is the nearest to 3105 in -2, 0.06, -0.2?
0.06
What is the nearest to 5 in 4, -13, -73?
| {
"pile_set_name": "DM Mathematics"
} |
38 = 0, -19*x - 31 = -21*x - 5*m for x.
8
Solve -d - 1 = 5, 21 = 3*l - 4*d for l.
-1
Solve -4*a - 67 = -b, 3*b + a + 32 = 25 for b.
3
Solve 3*s - 6 = -127*i + 130*i, 3*i = -4*s - 6 for s.
0
Solve 2*g + 5*d = -15, -8658*g - 2*d - 30 = -8662*g for g.
5
Solve 5*s = -4*j + 25, 2*j = -16*s + 4*s + 60 for s.
5
Solve 25 = -3*y + 4*l, 663*y + 5*l - 34 = 664*y for y.
1
Solve 2*l + 465 - 487 = -4*h, 0 = -2*l + 10 for h.
3
Solve -20 = r - 4*t + 17, -2*t + 20 = -2*r for r.
-1
Solve -35*j - 2*t = -36*j - 6, 20*j + 3*t = 9 for j.
0
Solve -2*w + 11 = z, 3*w - 4356 = -3*z - 4341 for z.
-1
Solve 129*v - 4 = -2*u + 130*v, -5*u - 3*v = -10 for u.
2
Solve -15*g + 3*j + 54 = -18*g, 0 = g + 12*j + 227 for g.
1
Solve -d = 3*k + 3, 0 = 2*d + 5*k - 8 + 9 for d.
12
Solve 0 = -4*a + 2*i - 14, 17835*a + 4*i - 52 = 17831*a for a.
2
Solve 716*v + 15 = -x + 712*v, -4*x + 2*v = -30 for x.
5
Solve o - 3*j = 3, -o + 1268 = j + 1265 for o.
3
Solve -3*b + k = 65 - 61, -3*b + 4*k = 7 for b.
-1
Solve -4*i + 3*p = -29 + 27, p = -i - 3 for i.
-1
Solve 15*m - 16*m + 4 = 3*v + 4, 2*v + 4*m = 0 for v.
0
Solve -5*b - 2*o = -32, 9*b - 14*b = -5*o - 25 for b.
6
Solve 4*u + 514*x = 508*x + 22, 23 = u + 5*x for u.
-2
Solve 0 = z + 4*l - 19, 70*l = -5*z + 69*l - 19 for z.
-5
Solve -4*b = -44, t = -937*b + 932*b + 51 for t.
-4
Solve -c + 43 = 23*m - 19*m, 0 = 3*m + 5*c - 11 for m.
12
Solve -24 = 5*b - 3*t + 4, 5*b + 3*t = -22 for b.
-5
Solve -141*g + 14 = -145*g + w, -3*g = 3*w + 33 for g.
-5
Solve 5*b - j = -17, 60*j - 56*j + 7 = -5*b for b.
-3
Solve 0 = 3*y + s, 2*y + 10 = -5*s - 3 for y.
1
Solve -3*i + 27 - 32 = 4*c, 43 = 2*c - 5*i for c.
4
Solve 30 = -78*v + 73*v + 5*r, 5*v + 4*r = 51 for v.
3
Solve 245*c - 8*a = 248*c + 59, -3*c + 0*c - 31 = 4*a for c.
-1
Solve -5*i = -2*d + 482 - 469, -2*d = 2*i - 34 for d.
14
Solve 276*n - 281*n - 120 = -5*i, 0 = 5*i - 3*n - 118 for i.
23
Solve 5*p + 35 = -5*t, 5*t = 14*p - 13*p - 23 for t.
-5
Solve 7 = 5*c - 3*m, 1769*c = 1770*c - 4*m + 2 for c.
2
Solve 2*u + 339 = 3*n + 362, u - 4*n - 24 = 0 for u.
4
Solve -381 = 205*l - 278*l - 4*f, -5*l - 2*f + 33 = 0 for l.
5
Solve -z - 22 = 4*o, -z - 2066 = 5*o - 2042 for o.
-2
Solve -27 = -3*g - 3*n, 251 = -4*n + 271 for g.
4
Solve -2*l + 66*f + 6 = 61*f, 5*l - 30 = 5*f for l.
8
Solve -2065*h = -g - 2067*h - 7, 2*g - 4*h - 26 = 0 for g.
3
Solve 40 = -4*j - 5*z, -2*j - 276 + 250 = 4*z for j.
-5
Solve 18*m = 4*v - 42 - 22, -v + m + 2 = 0 for v.
-2
Solve 3*r = -2*w + 1, 3*w + 6*r = 11*r - 8 for w.
-1
Solve -22*a - 5*d + 68 + 74 = 0, 3*a + 3*d = 24 for a.
6
Solve c + 32 = 4*c + 4*o, 5*o + 6 = 2*c for c.
8
Solve -2*b + 79 = -4*z + 29, -3*z = 33 for b.
3
Solve -3*v + 8*k = -8, k - 10 + 11 = 4*v for v.
0
Solve 4*a + w = -16, -2*w + 3*w = -a - 4 for a.
-4
Solve 0 = 5*a - 4*y - 38, 94*a = 77*a + y - 22 for a.
-2
Solve 5*d + 25 = 109*b - 107*b, -3*b + 25 = -5*d for d.
-5
Solve 0 = 7*y - 3*y - 5*b - 42, -106*y - 4*b - 9 = -101*y for y.
3
Solve -4*d = 96*r - 97*r - 2*d, 3*r + 3*d = 36 for r.
8
Solve -3*a - 4*d = 19, -5*d = -15*a + 16*a + 10 for a.
-5
Solve -5*v = k - 15, 229*k - 228*k + 9 = v for v.
4
Solve 2*f = 129*b - 131*b + 12, -4*b + 14 = 2*f for b.
1
Solve -5*m + 2 = y, -697*y = 2*m - 701*y + 8 for m.
0
Solve 11 = -4*n + q - 15, 0 = n + 2*q - 7 for n.
-5
Solve 32*b + 96*s + 283 = 27*b, -3 = s for b.
1
Solve 26 = -4*d + 2*o, -600*d + 595*d - 3*o - 49 = 0 for d.
-8
Solve 4*t + 4*z = -40, 3*z + 15 = -1492*t + 1494*t for t.
-3
Solve 0 = 2*i + 4*l + 1664 - 1660, l + 19 = -5*i for i.
-4
Solve 41 = -3*n - 4*y + 21, -2*y + 8 = -3*n for n.
-4
Solve 21*t - 22 = 4*i + 19*t, 12*i - 4*t + 44 = 0 for i.
0
Solve -n - 8 = 173*p - 169*p, 2*p - n + 4 = 0 for p.
-2
Solve -p + 9 = 6*a, -53*a + 2*p - 3 = -50*a for a.
1
Solve -50 = -3*a + 43*z - 35*z, 2*a - 4*z = 24 for a.
-2
Solve -5*i + 4*l - 50 = 0, -74*i + 30 = -79*i + 2*l for i.
-2
Solve 62*l + d + 31 = 69*l, d + 21 = 5*l for l.
5
Solve 0 = -2*c + 4*q + 18, -2*c + 276*q - 10 = 279*q for c.
1
Solve 3*j - c - 7 = 0, 2*c - 5 = -3*j - 10 for j.
1
Solve -11*c = -12*c + 5*c - 3*p + 24, -3*c + 4*p - 18 = 0 for c.
-6
Solve 79 = -4*h - 110*c + 111*c, -2*h + c - 39 = 0 for h.
-20
Solve o + 160 = 162, 4*o + 2 = 2*f for f.
5
Solve 3*n = -5*k + 69, 0*k + 21 = -5*k + 2*n for k.
3
Solve -521*c + 4 = -526*c + f, 2*c - f + 1 = 0 for c.
-1
Solve -h - 13 = 3*r, 0 = -20*r + 16*r - 3*h - 14 for r.
-5
Solve -5*r - 46 + 61 = 0, -4*q - 2 = 2*r for q.
-2
Solve 3*k + 20 = -4*p - 28, -9*k - 117 = 3*p for k.
-12
Solve 21 = c - 4*g, 4*c + 1350*g - 1348*g - 12 = 0 for c.
5
Solve m - 361*g = -364*g - 8, 4*g = -m - 9 for m.
-5
Solve 0 = -k + 5*d + 12, 657*k - 658*k = 5*d + 18 for k.
-3
Solve -v - 3*p - 37 = 0, v + 1517 - 1564 = 4*p for v.
-1
Solve 3*x - 19 = -z, 12 = -2*x - 2*x - 0*x + 8*z for x.
5
Solve -2*b + 4*r - 475 = -513, -5*b + 2*r + 95 = 0 for b.
19
Solve 15 = j - 63*y + 60*y, 4*j = y + 16 for j.
3
Solve 826*a + 30 = 821*a - 5*u, 0 = -4*a + 5*u - 15 for a.
-5
Solve -318*z + 323*z = x - 30, -z = -x + 2 for x.
-5
Solve -2*l = 4*m + 6, 0*m = 5*l - 2*m + 27 for l.
-5
Solve -5*z - n + 40 = -5*n, 0 = -7*z - n - 10 for z.
0
Solve d - 15 = -5*y + 12, y - 8 + 11 = 4*d for d.
2
Solve 63*u - 58*u - 1 = -2*o, -4*o - 6 = 2*u for u.
1
Solve 7 = -4*q + t, -q = 188*t - 189*t - 2 for q.
-3
Solve 3503*x - 3507*x = -8*n + 4, 3*x - 17 = -4*n for n.
2
Solve 638 - 680 = -5*r - 8*s, r = -2*s + 10 for r.
2
Solve -w - 2*s - 14476 = -14484, -3*w = 4*s - 20 for w.
4
Solve 30*v - 2*h = 25*v + 29, 46 = -2*v - 4*h for v.
1
Solve 0 = 5*x + 219*f - 218*f + 6, 30 = 2*x + 4*f for x.
-3
Solve 5*r - 413*g = -409*g + 32, 3*r - 5*g = 27 for r.
4
Solve -v - 3*i + 4 = 0, 14 = 121*v - 123*v + 5*i for v.
-2
Solve -5*f = -4*b + 37, 472*f + 3*b + 11 = 468*f for f.
-5
Solve 5*h - 1417*n + 35 = -1422*n, 2*h - 3*n = 41 for h.
4
Solve 0 = -3*i + v + 13, -1767*v - 8 = -1765*v for i.
3
Solve 1 = 18*t + 73, -t = -5*n - 16 for n.
-4
Solve -q = -28 + 31, 4*p + 42 = -2*q for p.
-9
Solve -r + c - 5 = 0, 2*r + 20 = 70*c - 67*c for r.
5
Solve 7*m + 12 = -5*s, -1433*s - 4*m - 6 = -1431*s for s.
-1
Solve 284*s + 5*g = 287*s + 70, -5*s + 4*g - 69 = 0 for s.
-5
Solve -2*n = -2*f + 30, -5*f - 4*n = 52 - 91 for f.
11
Solve -8*w + 211*y = 104*y + 102*y + 97, y + 3 = 0 for w.
-14
Solve 3*f + 2*d - 7 = 1, -f - 72 = -10*d for f.
-2
Solve -2*v + 4*f - 14 = 6, -5*v + 2*f = -6 for v.
4
Solve 0 = y - c + 113 - 111, -4*y + 48 = 4*c for y.
5
Solve h - 2 = -3*v, -h - 3*v - v = -2*v for h.
-4
Solve -34 = 85*s - 82*s + d, 16 = -2*s - 4*d for s.
-12
Solve 0 = -t + 14*q + 8 + 36, -2*q - 10 = -2*t for t.
2
Solve 558*n - 554*n = -2*x - 12, -x = 3*n + 9 for x.
0
Solve 2*q + 6 = 0, 5*k + 30*q + 22 = 31*q for k.
-5
Solve -10 = -2*v - y, -1324*y = -3*v - 1328*y + 25 for v.
3
Solve -15*y - 14789 = 5*h - 14794, 20 = -3*y + 2*h for y.
-2
Solve z - 5*w = -17, -5*w - 101 = -126 for z.
8
Solve 5*f = 788*y - 790*y + 34, -3*f = -2*y - 14 for y.
2
Solve 1027*c = 4*t + 1026*c - 49, -5*c + 28 = t for t.
13
Solve -50467*z = -50471*z + 4*n - 28, z = 3*n - 15 for z.
-3
Solve 4*g + l - 12 = 0, 38*g + l + 92 = 240 for g.
4
Solve -29*m - 15 = 3*v - 30*m, -5*v - 2*m - 25 = 0 for v.
-5
Solve -3*q + 4*d = 0, -710*q = -706*q + 2*d - 22 for q.
4
Solve 9 = -3*h - 2*b, 0 = 2*h - 2*b - 2*b + 22 for h.
-5
Solve -24839*i + 24840*i - 26 = 5*m, -22 = 5*m + 3*i for m.
-5
Solve 0 = 3*d - 24*g - 63, 4*g = 5*d - 1 + 4 for d.
-3
Solve -57*y = -b - 59*y - 8, -4*y = b + 18 for b.
2
Solve 5*f - 654 = 2*x - 632, 4*f - 21 = 5*x for f.
4
Solve -5*k - 45 = 5*s, 5*k = -51*s + 54*s - 37 for k.
-8
Solve -5*q = -4*o - 24, -3*q + 10 = 3*o - o for q.
4
Solve 0 = 3*a - 0*a + h + 13, 7 = -2*a - h for a.
-6
Solve 4*v - 2*b + 536 - 522 = 0, -5*b - 10 = -v for v.
-5
Solve 49 = -2*n - 4*y + 63, -n + y + 4 = 0 for n.
5
Solve -5*s - 3*z + 62 = z, s - 3*z = 1 for s.
10
Solve -198*c = -196*c - 5*p, -c - 5 = -5*p for c.
5
Solve 0 = 5*y + 6*r + 126, -5*y - 2*r - 53 + 11 = 0 for y.
0
Solve 15 = -3*k, y = 270*k - 265*k + 29 for y.
4
Solve -6 = -3*u + 2*b, 0 = -17*u + b + 11 + 23 for u.
2
Solve -2*k + 5*v = 9, 4*k + 297*v = 301*v for k.
3
Solve -19*n + 21*n + 2*o - 14 = 0, -5*n - 10*o = -85 for n.
-3
Solve -5*b - 140*f = -144*f - 28, -10*b + 44 = -2*f for b.
4
Solve 10*h - 8*h + 3*y + 4 = 0, 7*h - 36 = 2*y for h.
4
Solve -4*d - 5*i = 39, -196* | {
"pile_set_name": "DM Mathematics"
} |
+ -1 - -5)?
-5
Evaluate 3 - (4 + -3 + 0) - -1.
3
Evaluate -6 - (-3 + -8 + 9).
-4
2 + (-2 - 3) - 2
-5
Calculate 10 + (3 - 6) - 12.
-5
Evaluate 3 + (1 - 1) - 0.
3
What is -6 + 11 + (1 - 6)?
0
Calculate -1 - ((9 - 4) + -1).
-5
8 + (-1 + 5 - 8)
4
What is the value of (7 - (-5 + 9)) + -1 - 3?
-1
What is the value of 8 - 0 - 12 - -2?
-2
What is the value of 6 + (-3 - (9 + -6))?
0
Evaluate -8 - -6 - (2 + 2).
-6
Evaluate 0 - (2 + 3 + 0).
-5
Calculate -4 - -2 - -4 - -1.
3
Calculate -7 + (3 - -2) + 0.
-2
Calculate -7 + -6 + 2 + 21 - 5.
5
Evaluate -1 + 11 + -6 + 2.
6
What is (6 - 1) + (1 - 6) - -4?
4
Evaluate 1 + (-4 + -7 - -6).
-4
What is the value of -2 + 5 + -5 - 1?
-3
What is the value of 0 + 5 + (-3 - 1)?
1
What is the value of -2 + 1 - (3 + -7)?
3
Evaluate (0 - -3) + (3 + 2 - 3).
5
What is the value of (-5 - -4) + 8 + -6 + 0?
1
Calculate -15 + 9 + 0 + 8.
2
-5 + 17 + -4 - 11
-3
-1 - (4 + -9 + 2)
2
Evaluate 8 - 4 - 3 - -2.
3
Evaluate -2 + -3 + -3 + 0 - -3.
-5
What is the value of 5 + 1 - (-13 - -18)?
1
Evaluate 6 + (-11 - -8) + 1.
4
What is -6 - (-3 + 3 - 1)?
-5
(-2 - 0) + -2 + 114 + -105
5
What is the value of (-1 + 2 - (0 - -1)) + -4?
-4
What is the value of 161 + -154 - (0 + -2 + 1)?
8
Evaluate -7 + 2 - (-11 + 1).
5
Evaluate -8 + 14 + -4 + -2 - -2.
2
Calculate -8 + 7 + (-9 - -5 - 0).
-5
What is the value of -6 + 2 + 1 + 8 + -5?
0
13 - (12 - (-2 - -5))
4
Evaluate (14 - 19 - (-1 - 2)) + -5.
-7
(8 - (-9 + 19)) + 1
-1
What is 3 - 8 - (-3 + (5 - 2))?
-5
Calculate -1 - 6 - (40 + -46).
-1
What is (1 - -6) + (-84 - -77)?
0
Evaluate -2 - -1 - (-8 - (-11 - -6)).
2
Calculate 6 - (2 - 0) - (6 + 3).
-5
Calculate -52 + 50 - (2 + -11).
7
0 - (9 + 1) - (107 - 112)
-5
What is the value of 1 - -4 - (15 - (-6 + 15))?
-1
Calculate (14 - 9) + 1 + -3.
3
What is the value of -5 - (-1 - 8) - 0?
4
Evaluate -3 + 0 + 1 + -1 + 2.
-1
What is the value of 7 + 3 + -5 - -3?
8
What is -9 - -9 - (1 - 4)?
3
What is -3 - -6 - (-1 + -4 - -9)?
-1
Calculate -1 + 0 - (-31 - -32).
-2
What is the value of 0 - (-9 - (1 + -6))?
4
What is the value of -1 + -7 - (-2 - 9)?
3
Calculate (-3 + 1 - 0) + 1.
-1
Evaluate (1 - 3) + 5 + -1.
2
What is 10 + (-11 - 1 - -4 - -3)?
5
-5 - -3 - 1 - -3
0
Evaluate -5 + 5 + -2 + 2.
0
Calculate (-1 - 2) + 13 + -12.
-2
Calculate 10 + (-19 + 6 - 0).
-3
What is -1 + 1 - (-1 + 2 + 0)?
-1
Calculate -4 + (-5 - -5) - -1 - -5.
2
What is 4 + (1 - -3 - 5)?
3
1 + -1 + (7 - 6)
1
What is 1 + 5 + -3 - -2?
5
What is the value of -131 - -129 - (-7 - (-2 - -3))?
6
What is the value of -2 - -17 - (95 + -91)?
11
Calculate -8 - -5 - (6 - 12).
3
-6 + -8 - -11 - -4
1
What is the value of -1 - (2 - (1 + 0)) - -5?
3
What is (-3 - 2) + 8 + (5 - 12)?
-4
Calculate -3 + -7 + 16 + -5.
1
1 + 1 + -1 - 5
-4
What is the value of -6 + -4 + (7 - 2)?
-5
Evaluate 5 + (3 - 3 - 2 - 6).
-3
(-12 - -6) + 5 - (-1 + 1)
-1
Evaluate 5 + 2 - 6 - (-2 - -1).
2
Calculate (0 - (0 + -2)) + 113 + -111.
4
Evaluate -3 - (-6 + (13 - 9)).
-1
What is the value of 5 + (1 - 0) + -6?
0
Calculate (-11 - -14 - 6) + -2.
-5
What is (-6 - (7 - 13)) + -5?
-5
What is the value of (6 - (2 + (7 - 7))) + -1?
3
Calculate 3 + -4 + 4 + -2 + 2.
3
What is (-3 - 1) + -1 + 0?
-5
0 + (2 - 10) + 10
2
What is (4 - (-2 + 4 + -2)) + -6?
-2
What is the value of -2 + (3 - (0 + 4 - 8))?
5
What is the value of 4 + 3 + (1 - 4) + -5?
-1
Calculate (4 - 11) + (3 - 6).
-10
What is the value of 2 + 0 - (8 - 3)?
-3
What is the value of (7 - (-6 + 6)) + -14?
-7
Evaluate 0 + (3 - (-1 - -2)) - 4.
-2
Evaluate 4 + 2 + -8 + 5 + 6.
9
What is the value of (0 - -2) + 11 + -13?
0
What is the value of -3 + (15 - 8) - 2?
2
Calculate 12 - (19 - 5) - (7 + -1).
-8
10 - (-6 - -6 - -8)
2
-3 + 4 + (-3 - -5) + -1
2
What is -3 + 0 + 3 + (-2 - 2)?
-4
What is -14 - (-3 + -8 - 14)?
11
Evaluate -13 + 7 - (-6 - 0).
0
(21 - (5 - -9)) + 4
11
1 - (2 + -2 + 4 + 0)
-3
4 + (-1 + -5 - (0 + -4))
2
Calculate 9 - (6 - 2) - 7.
-2
What is (5 - ((4 - 2) + 3)) + 4?
4
What is the value of 0 - ((-4 - -4) + -2 + 4)?
-2
Calculate -4 - (-2 + 6 - 4).
-4
84 - 75 - (2 - (-3 - -2))
6
Calculate -4 - -3 - (-7 - -2).
4
1 - (17 + -9 - (4 + -1))
-4
(1 - 1 - (0 - -1)) + -1
-2
What is 2 + -2 - (-2 + -2)?
4
-1 + -9 + -2 - (4 + -11)
-5
Calculate 4 + (0 - 1 - 6).
-3
5 + -3 - -3 - (8 + 3)
-6
Calculate 2 + -2 + (8 - 5 - 5).
-2
What is the value of -3 - (20 - 9 - 14)?
0
Evaluate 7 + -24 + 17 + -1 + 7.
6
What is (-8 - -7 - 1) + 6?
4
(0 - 2) + (10 - 10)
-2
What is the value of 6 + -14 + 5 + -3?
-6
Calculate -21 + (-6 - (-20 - -2)).
-9
What is the value of -10 + -4 + 4 + 11?
1
What is 4 + 0 + -17 + 13?
0
What is the value of (0 - 1) + 1 + (-94 - -98)?
4
Evaluate (-4 - 1 - -5) + 0 + 3.
3
What is the value of -12 + 9 - (1 - 1)?
-3
1 - -2 - (0 + -1) - 0
4
Evaluate 4 + -3 + 4 + -1 + 0.
4
What is 2 + (-11 - -10) + -4?
-3
What is -1 + 0 + 5 - (-14 + 13)?
5
Calculate (-4 - -4 - (-4 - -1)) + -1.
2
1 + (2 - -6 - 4)
5
-2 - -1 - (-8 + (3 - -8))
-4
What is the value of 7 - 4 - 7 - -2?
-2
What is the value of 0 + -10 + 1 - -15?
6
What is the value of (-5 - 0 - -5) + -4?
-4
7 + (8 - 12) + -8
-5
What is 0 + -2 + -9 - -5?
-6
Calculate 4 + (-5 + 4 - 2).
1
Calculate 3 + -8 + 7 + -7.
-5
Evaluate -10 + 10 + 7 - (9 + -1).
-1
What is -2 + 1 - 0 - 0?
-1
What is the value of 8 + -1 + (5 - (2 + 18))?
-8
What is the value of 2 - (-5 - 4 - -4)?
7
-1 + 2 + 13 + -11
3
What is the value of (10 - -1) + -35 + 29?
5
Calculate (-1 - -5) + (3 - 5).
2
-3 + (0 - -5) + -5
-3
Evaluate 0 + -2 + (2 - -1 - -2).
3
What is the value of 6 - (-8 + (7 - 5)) - 7?
5
4 + 3 - (8 + 3)
-4
-4 - ((4 - 3) + -2) - -6
3
Evaluate 0 + -17 - (-125 - -114).
-6
What is 2 + 5 + 1 + -3?
5
Calculate (-3 - -4) + -3 + 5.
3
What is the value of 31 + -31 + -1 + -1?
-2
2 + 2 - (21 + -14)
-3
0 - (-4 + 3 - -4)
-3
What is the value of -2 + 8 + (-3 - -1)?
4
Evaluate -1 + (2 - 0) + 2 - -1.
4
Calculate 1 + 2 + 3 + -8.
-2
What is (2 - 3 - -5) + 0 + -5?
-1
What is (3 - (-3 - -12)) + (9 - 7)?
-4
Evaluate -1 + 3 - (14 + -18) - 1.
5
1 + -1 + 6 + (-2 - 6)
-2
Calculate 3 + 3 + 3 + -1 - 4.
4
What is 2 - -1 - -5 - 13?
-5
(-11 - -2) + 11 + 6
8
What is 1 + (-3 - 3) + -2?
-7
What is -1 + (2 - (2 - 0))?
-1
What is the value of -1 + (8 - (15 - 8 - -9))?
-9
What is the value of 3 + (1 - 4) + -2?
-2
Evaluate -1 - (3 - 3 - -3 - 1).
-3
Calculate -8 + (-7 - 5) + 23.
3
What is the value of 5 + -2 + -2 + 2 - -1?
4
Evaluate 4 - 3 - (6 - 5) - 2.
-2
What is (-4 + 7 - 4) + -1 + -5?
-7
What is (7 - 21) + (5 - -3)?
-6
Evaluate 4 + (-5 - -3) - (5 - 3).
0
Calculate 3 + -3 + 0 + 3.
3
Calculate -4 - -5 - (2 + -4 + -2).
5
What is 4 - 0 - (-3 + 0 + 4)?
3
What is 3 + -8 - -5 - -5?
5
Evaluate 4 + 6 + -11 - (6 + -2).
-5
9 - -1 - (6 + -2)
6
Calculate (-16 + 7 - -3) + -1 + 7.
0
What is the value of (0 - (-4 - -11) - -3) + 1?
-3
Evaluate 0 + -1 - (5 - 7).
1
Calculate -7 + 14 + -3 + 4 + -7.
1
Evaluate 1 + -6 + 5 + (-2 - 0).
-2
What is the value of 0 + 5 - (5 + 0)?
0
7 + 3 + (-1 - (1 - -4))
4
6 - (5 + (-3 - -3))
1
What is the value of -1 - (1 - -1) - -1?
-2
What is the value of 0 - (-7 + 3) - (-3 + 1)?
6
What is -18 + 8 - (-25 + 8)?
7
Evaluate -4 - (1 + -5) - 1.
-1
What is the value of 5 + -1 + 3 + (-14 - -12)?
5
What is the value of (25 - 27) + (1 - 3)?
-4
-7 + 10 + (-1 - 1)
1
What is -3 + (8 - 7) - -1?
-1
Calculate 4 - (-1 + (4 - (-4 - -2))).
-1
What is (7 - -1) + (-14 - -10) + -5?
-1
Calculate (4 - 5) + -1 + (1 - -3).
2
What is -3 + (14 - (5 - -2))?
4
Calculate 15 + (-3 - 2 - 2).
8
Evaluate 5 + (-7 - 0) + (8 - 4).
2
What is the value of (7 - 1) + -188 + 177?
-5
Evaluate -1 + 1 + (-1 - (-2 - -4)).
-3
Evaluate 9 - 1 - 4 - 3.
1
What is the value of -39 - -27 - (-9 + 1)?
-4
What is the value of -6 + 11 - (0 + 3)?
2
Evaluate (5 - 6) + (-3 - (4 - 3)).
-5
What is (-4 - -9 - 18 - -4) + 2?
-7
Evaluate ((-3 - 0) + 4 - -1) + -4.
-2
Evaluate (-1 - 6) + (-3 + -7 - -17).
0
Calculate (-3 + 0 - -7) + -2.
2
What is 6 + -6 - (3 - -3)?
-6
Evaluate (-2 - -9) + -3 + 0 + 0.
4
Evaluate -4 + -6 + -8 + 24.
6
What is the value of 17 + -16 + 2 + 0?
3
Evaluate (-20 - (1 - 7)) + 10.
-4
Calculate -4 + 4 + -3 - -5.
2
Evaluate (-13 - -3 - -3) + 4.
-3
-3 - 5 - (-11 + 8)
-5
Evaluate (2 - (3 + 0) - -1) + -4.
-4
What is the value of 1 + (-1 - -1 - 4)?
-3
17 - 21 - (1 + 0 - 2)
-3
What is (-8 + 7 - -5) + -1?
3
What is the value of -1 + (-14 - (-24 + 4))?
5
What i | {
"pile_set_name": "DM Mathematics"
} |
of 104470?
2, 5, 31, 337
What are the prime factors of 512111?
29, 17659
What are the prime factors of 1664457?
3, 19, 29201
List the prime factors of 2549503.
11, 41, 5653
List the prime factors of 1883760.
2, 3, 5, 47, 167
List the prime factors of 205281.
3, 7603
List the prime factors of 1687527.
3, 62501
What are the prime factors of 10530934?
2, 1487, 3541
What are the prime factors of 6818666?
2, 17, 47, 251
List the prime factors of 42033.
3, 14011
List the prime factors of 3474867.
3, 11, 29, 3631
List the prime factors of 2172343.
2172343
What are the prime factors of 2248498?
2, 7, 19, 79, 107
List the prime factors of 11452574.
2, 7, 23, 5081
What are the prime factors of 490670?
2, 5, 139, 353
List the prime factors of 10190653.
11, 926423
What are the prime factors of 8061932?
2, 241, 8363
List the prime factors of 878717.
7, 79, 227
What are the prime factors of 35114369?
37, 949037
What are the prime factors of 5652481?
19, 97, 3067
List the prime factors of 4187486.
2, 19, 263, 419
List the prime factors of 1611228.
2, 3, 134269
What are the prime factors of 5057426?
2, 11, 29, 7927
List the prime factors of 9192864.
2, 3, 31, 3089
List the prime factors of 15118844.
2, 13, 167, 1741
List the prime factors of 112298.
2, 56149
List the prime factors of 77822.
2, 167, 233
List the prime factors of 17734036.
2, 73, 60733
List the prime factors of 3613702.
2, 653, 2767
What are the prime factors of 3820207?
47, 81281
List the prime factors of 2420791.
1021, 2371
List the prime factors of 26631344.
2, 1664459
List the prime factors of 223199.
61, 3659
What are the prime factors of 7152245?
5, 41, 139, 251
What are the prime factors of 5995204?
2, 1498801
What are the prime factors of 323730?
2, 3, 5, 11, 109
List the prime factors of 137872.
2, 7, 1231
List the prime factors of 610695.
3, 5, 41, 331
List the prime factors of 12411869.
12411869
List the prime factors of 1783464.
2, 3, 74311
List the prime factors of 8434645.
5, 379, 4451
List the prime factors of 4238819.
13, 326063
List the prime factors of 8784193.
11, 223, 3581
What are the prime factors of 48671?
7, 17, 409
What are the prime factors of 235807?
11, 13, 17, 97
What are the prime factors of 12379727?
23, 538249
List the prime factors of 4886434.
2, 7, 43, 8117
List the prime factors of 1792700.
2, 5, 7, 13, 197
List the prime factors of 1218421.
1218421
What are the prime factors of 495770?
2, 5, 11, 4507
List the prime factors of 618542.
2, 309271
What are the prime factors of 161430?
2, 3, 5, 5381
List the prime factors of 4440623.
11, 19, 21247
What are the prime factors of 912041?
13, 70157
What are the prime factors of 936551?
7, 11, 12163
What are the prime factors of 3573025?
5, 131, 1091
List the prime factors of 3568344.
2, 3, 13, 11437
List the prime factors of 7075748.
2, 1768937
What are the prime factors of 11462059?
7, 1637437
What are the prime factors of 64908?
2, 3, 601
List the prime factors of 255501.
3, 9463
What are the prime factors of 807416?
2, 100927
What are the prime factors of 1187699?
1187699
What are the prime factors of 2031217?
2031217
List the prime factors of 7691659.
7691659
List the prime factors of 6398996.
2, 137, 11677
What are the prime factors of 2282708?
2, 570677
List the prime factors of 1092320.
2, 5, 6827
What are the prime factors of 1790160?
2, 3, 5, 7459
List the prime factors of 30339640.
2, 5, 758491
What are the prime factors of 923614?
2, 31, 14897
What are the prime factors of 3627764?
2, 7, 83, 223
List the prime factors of 3141174.
2, 3, 41, 113
What are the prime factors of 63975?
3, 5, 853
List the prime factors of 4937160.
2, 3, 5, 41143
What are the prime factors of 4075103?
4075103
List the prime factors of 203700.
2, 3, 5, 7, 97
List the prime factors of 234917.
234917
List the prime factors of 1346267.
13, 29, 3571
What are the prime factors of 2828094?
2, 3, 139, 3391
What are the prime factors of 992814?
2, 3, 165469
What are the prime factors of 463586?
2, 193, 1201
List the prime factors of 236384.
2, 83, 89
What are the prime factors of 2436812?
2, 7, 29, 3001
What are the prime factors of 5000592?
2, 3, 104179
What are the prime factors of 23942?
2, 11971
What are the prime factors of 227380?
2, 5, 11369
List the prime factors of 871012.
2, 17, 12809
What are the prime factors of 3226747?
263, 12269
What are the prime factors of 974332?
2, 243583
List the prime factors of 1493458.
2, 211, 3539
List the prime factors of 35280028.
2, 7, 967, 1303
What are the prime factors of 18872?
2, 7, 337
List the prime factors of 2457945.
3, 5, 7, 17
What are the prime factors of 346834?
2, 17, 101
List the prime factors of 447762.
2, 3, 7, 1523
List the prime factors of 67115.
5, 31, 433
List the prime factors of 12204155.
5, 2440831
What are the prime factors of 1667800?
2, 5, 31, 269
List the prime factors of 10082863.
7, 19, 47, 1613
What are the prime factors of 21429?
3, 2381
What are the prime factors of 911030?
2, 5, 17, 23, 233
List the prime factors of 776320.
2, 5, 1213
List the prime factors of 9734047.
17, 97, 5903
List the prime factors of 3285383.
71, 46273
What are the prime factors of 281038?
2, 83, 1693
List the prime factors of 2011322.
2, 1005661
What are the prime factors of 314717?
13, 43, 563
What are the prime factors of 1602122?
2, 801061
What are the prime factors of 15294152?
2, 17, 107, 1051
What are the prime factors of 8123922?
2, 3, 23, 31, 211
List the prime factors of 33023004.
2, 3, 7, 131, 3001
List the prime factors of 1195999.
7, 170857
What are the prime factors of 78420?
2, 3, 5, 1307
What are the prime factors of 1761131?
61, 28871
What are the prime factors of 2272580?
2, 5, 199, 571
List the prime factors of 1507432.
2, 61, 3089
What are the prime factors of 225517?
61, 3697
List the prime factors of 10625184.
2, 3, 79, 467
List the prime factors of 1341562.
2, 670781
What are the prime factors of 38085?
3, 5, 2539
List the prime factors of 22968442.
2, 7, 617, 2659
List the prime factors of 1041862.
2, 17, 30643
List the prime factors of 1109623.
47, 23609
What are the prime factors of 1265114?
2, 632557
List the prime factors of 206017.
7, 19, 1549
List the prime factors of 245205.
3, 5, 5449
What are the prime factors of 168042?
2, 3, 7, 4001
List the prime factors of 14446767.
3, 4815589
What are the prime factors of 1002252?
2, 3, 17
List the prime factors of 247671.
3, 9173
What are the prime factors of 574064?
2, 35879
What are the prime factors of 1228864?
2, 7, 13, 211
List the prime factors of 1899555.
3, 5, 7, 79, 229
What are the prime factors of 19265101?
19265101
What are the prime factors of 4430566?
2, 7, 316469
List the prime factors of 1953989.
439, 4451
What are the prime factors of 5452587?
3, 7, 23, 53, 71
What are the prime factors of 1215975?
3, 5, 31, 523
List the prime factors of 3902577.
3, 7, 83, 2239
What are the prime factors of 7999884?
2, 3, 24691
List the prime factors of 12848620.
2, 5, 37, 97, 179
List the prime factors of 694116.
2, 3, 6427
What are the prime factors of 5461708?
2, 7, 107, 1823
List the prime factors of 50682.
2, 3, 8447
What are the prime factors of 1175983?
347, 3389
List the prime factors of 2580066.
2, 3, 47779
What are the prime factors of 3465866?
2, 19, 223, 409
What are the prime factors of 2775066?
2, 3, 7, 9439
What are the prime factors of 1483982?
2, 741991
List the prime factors of 9797610.
2, 3, 5, 17, 19211
List the prime factors of 249364.
2, 31, 2011
List the prime factors of 12023173.
73, 164701
List the prime factors of 334605.
3, 5, 22307
What are the prime factors of 300647?
300647
What are the prime factors of 2456207?
13, 188939
List the prime factors of 28661452.
2, 7165363
List the prime factors of 3900364.
2, 13, 107, 701
List the prime factors of 571555.
5, 114311
What are the prime factors of 2720211?
3, 13, 19, 3671
List the prime factors of 4432320.
2, 3, 5, 19
List the prime factors of 396784.
2, 24799
What are the prime factors of 591351?
3, 197117
List the prime factors of 1095643.
41, 26723
List the prime factors of 5227582.
2, 37, 41, 1723
What are the prime factors of 273871?
13, 21067
What are the prime factors of 178049?
19, 9371
List the prime factors of 7160599.
7160599
Wh | {
"pile_set_name": "DM Mathematics"
} |
econd derivative of p(w) wrt w.
-12
Let r(p) = -5*p - 21. Let v(x) = x + 5. Let c(q) = q + 6. Let j(h) = 4*c(h) - 5*v(h). Let w(g) = 3*j(g) - r(g). Find the first derivative of w(s) wrt s.
2
What is the third derivative of 49*o**5 + 29*o**2 - 4*o**5 + 55*o**5 wrt o?
6000*o**2
Let u(w) be the third derivative of 0*w**4 - 11/6*w**3 + 0*w**5 + 0*w - 21*w**2 + 23/120*w**6 + 0. What is the first derivative of u(j) wrt j?
69*j**2
Let s(a) be the first derivative of 329*a**4/4 - 131*a**3/3 + 2*a - 360. Find the third derivative of s(z) wrt z.
1974
Let p(y) be the first derivative of -y**7/70 - 7*y**3/3 + 9*y**2/2 - 8. Let x(h) be the second derivative of p(h). What is the first derivative of x(k) wrt k?
-12*k**3
Let k(c) = -c**3 - c**2 + 1. Let d(r) = -13*r**5 + 2*r**3 + 56*r**2 - 2. Let l(g) = -d(g) - 2*k(g). What is the third derivative of l(z) wrt z?
780*z**2
Let i(u) = -u**3 - 11*u**2 + 11*u + 3. Let f be i(-12). What is the third derivative of -10 + f + 11*h**2 - 12*h**3 - 5 wrt h?
-72
Let p(j) = -j + 53. Let z be p(17). Differentiate -2 + 47 - 7*m**2 + 5*m**2 + z*m + 4*m**2 wrt m.
4*m + 36
Let g(u) be the first derivative of -3 + 2*u**5 + 0*u**2 + 0*u**4 + 0*u + 4/3*u**3. What is the third derivative of g(a) wrt a?
240*a
Let z(g) be the first derivative of g**3/3 - g**2 - 10*g + 6. Let b be z(7). What is the second derivative of b*l - 3*l**3 - 21*l + l**3 wrt l?
-12*l
Let q be 1*(-2 - -1)*-2. What is the second derivative of -45 + 15*r + 3*r**q + 45 wrt r?
6
Let t = 0 - -5. Suppose l + l + 24 = t*q, 4*q + 3*l - 33 = 0. Let b(o) = 3*o + 11. Let z(m) = -6*m - 21. Let j(c) = q*z(c) + 11*b(c). Differentiate j(p) wrt p.
-3
Let t(s) be the first derivative of 36 - 27/4*s**4 + 15*s + 0*s**3 + 0*s**2. What is the first derivative of t(o) wrt o?
-81*o**2
What is the derivative of 255*h**2 + 32 - 164 - 57 wrt h?
510*h
Let q(f) = -26*f**3 - 7*f - 3*f**2 + 1 + 14*f**3 - 1 + 3. Let a(s) = -s**3 - s**2 + s + 1. Let r(x) = -3*a(x) + q(x). Find the second derivative of r(m) wrt m.
-54*m
Find the third derivative of 174*f**4 + 61*f**2 - 590088 + 590088 wrt f.
4176*f
Let u be (3/(-6))/1*2. Let c(w) = -2*w. Let v be c(u). What is the second derivative of 2*z - 2*z - v*z + 3*z**2 wrt z?
6
Let o(s) be the second derivative of -2/3*s**6 + 0*s**3 - 9*s**2 + 7*s + 0 + 0*s**4 + 0*s**5. Differentiate o(z) with respect to z.
-80*z**3
Let t = 1223/2 + -611. Let b(i) be the second derivative of t*i**3 - 7*i + 0 - 5/12*i**4 + 0*i**2. Find the second derivative of b(o) wrt o.
-10
Let d be (22/(-3))/(6/9). Let t = 14 + d. What is the derivative of u**3 - 1 + u**3 + 2*u**t + 4*u**3 wrt u?
24*u**2
Suppose -6*a + 3*a = 0. Suppose a = 8*o - 12*o + 8. Find the second derivative of 2*j**3 + j - 4*j**3 - o*j wrt j.
-12*j
Let i(r) be the second derivative of -19/30*r**6 + 0*r**4 - 2*r + 0 + 0*r**2 + 0*r**5 - 5/2*r**3. Find the second derivative of i(y) wrt y.
-228*y**2
Suppose c - 44 = -41. What is the second derivative of -2*h**3 + 7*h**c + 46*h - 81*h wrt h?
30*h
Suppose 9*g - 2 = 8*g. Find the third derivative of -10*o**2 + 33*o**3 - 13*o**2 + 9*o**g wrt o.
198
What is the second derivative of 7*m**2 + 44*m**2 - 2939*m + 2807*m wrt m?
102
Let m(q) be the first derivative of -q**3/3 - 85*q**2/2 + 2*q - 82. Differentiate m(u) with respect to u.
-2*u - 85
Let f(b) be the second derivative of 0 + 5/2*b**2 + 5/3*b**3 - 21*b. What is the first derivative of f(v) wrt v?
10
Suppose 0 = -5*v + 5, -5*v + 10 = -0*n + n. Let w = -13 - -17. Find the second derivative of c**5 + 0*c**4 + n*c + 6*c**5 + 0*c**w wrt c.
140*c**3
Let j(c) = c**2 + 10*c - 14. Let d be j(-12). Suppose -12*i = -7*i - d. What is the third derivative of 0*v**2 - 2*v**5 - 6*v**i + 9*v**2 wrt v?
-120*v**2
Suppose 8*y = 116 + 108. Differentiate 70 + 6 - y - 30*b wrt b.
-30
Let o(r) = -r**2 + r - 1. Let h(j) = 4*j**2 - 18*j + 13. Let g(t) = -h(t) - 3*o(t). Let s be g(14). Find the first derivative of 1 - s + 7*d**2 - 7 wrt d.
14*d
Suppose -4*h + 24 = -2*h. What is the second derivative of 4*q**2 - 6*q**2 + h*q - 6*q wrt q?
-4
Let l(k) = -k**2 - 5*k + 1. Let d be (-46)/12 + 1/(-6). Let v be l(d). Find the third derivative of 4*y**5 - 6*y**v + 0*y**4 - 3*y**2 + 0*y**4 wrt y.
-120*y**2
Find the second derivative of 3503*r**2 + 459*r - 3503*r**2 - 118*r**5 wrt r.
-2360*r**3
Let g(x) = -27*x**6 - 10*x**2 - 2*x. Let v(c) = -c**6 - c. Let p(w) = -g(w) + 4*v(w). Find the third derivative of p(u) wrt u.
2760*u**3
Let s(v) = v**2 + 11*v - 210. Let y be s(-21). Let j(m) be the first derivative of 0*m**4 + y*m**2 + m + 8/5*m**5 - 5 + 0*m**3. Differentiate j(z) wrt z.
32*z**3
Let k(j) be the second derivative of -701*j**7/42 + 98*j**3 + 685*j. What is the second derivative of k(a) wrt a?
-14020*a**3
Let b(g) be the first derivative of 134*g**5/5 - 12*g - 127. What is the derivative of b(j) wrt j?
536*j**3
Suppose -15 = -5*o + v, 2*o = -v - 2*v + 6. Let b be 4 + -1 + 7 - o. Find the third derivative of n**2 + 3*n**6 + 0*n**2 - b*n**6 wrt n.
-480*n**3
Let r(h) = -20*h**2 - 5. Let o(k) = -38*k**2 - 9. Let p(b) = -75*b**2 - 17. Let i(n) = -5*o(n) + 2*p(n). Let x(v) = -6*i(v) - 13*r(v). Differentiate x(g) wrt g.
40*g
Let w(y) be the first derivative of 19*y**3 + 67*y + 13. Differentiate w(l) with respect to l.
114*l
Let m(n) = 7*n**3 + 26*n**2 + 5*n - 29. Let w(t) = 6*t**3 + 25*t**2 + 4*t - 30. Let x(y) = 4*m(y) - 5*w(y). What is the derivative of x(k) wrt k?
-6*k**2 - 42*k
Let w(j) be the third derivative of -7/60*j**5 - 23/120*j**6 + 0*j**3 + 0*j + 1/24*j**4 - 28*j**2 + 0. Find the third derivative of w(u) wrt u.
-138
Let y(v) = -v**5 + v**4 + 1. Let r(t) = -3*t**6 - 3*t**5 + 3*t**4 + 5*t**3 + t**2 + 6*t + 3. Let c(b) = r(b) - 3*y(b). Find the third derivative of c(u) wrt u.
-360*u**3 + 30
Let h(a) be the third derivative of 0*a**4 + 0*a**5 + 0 + 0*a - 11/6*a**3 - 8*a**2 + 11/120*a**6. What is the first derivative of h(s) wrt s?
33*s**2
Find the second derivative of 10*t**4 + 1450*t - 12*t**2 - 196 + 12*t**2 - 1449*t - 6*t**5 wrt t.
-120*t**3 + 120*t**2
Let j(c) = 2*c**5 + 4*c**4 + 9*c**3 - 208*c. Let q(m) = 5*m**5 + 9*m**4 + 18*m**3 - 416*m. Let l(f) = 9*j(f) - 4*q(f). Find the second derivative of l(v) wrt v.
-40*v**3 + 54*v
What is the third derivative of -65*j**2 - 8*j + 5*j + 3*j + 61*j**3 wrt j?
366
Let y(f) = 14 - 17*f + 6 + 43*f - 7. Let r(p) = 78*p + 40. Let j(w) = 5*r(w) - 16*y(w). What is the first derivative of j(z) wrt z?
-26
Let x(g) be the third derivative of 0*g + 10*g**2 + 3/8*g**4 - 1/5*g**5 + 0 + 0*g**3. Find the second derivative of x(m) wrt m.
-24
Let h(f) = 561*f**3 + 51*f**2 - 359. Let m(w) = -70*w**3 - 6*w**2 + 45. Let z(r) = 6*h(r) + 51*m(r). Differentiate z(b) with respect to b.
-612*b**2
Let a(m) = m. Let x be a(2). Suppose r - 4 = -u, 2*u + x*r - 18 = 5*r. Find the third derivative of 0*k**2 - 3*k**2 - 3*k**6 + u*k**2 wrt k.
-360*k**3
Let f(w) be the third derivative of -31*w**5/20 - 11*w**4/24 + 2*w**3/3 + 10*w**2 - 1. Find the second derivative of f(h) wrt h.
-186
Let r(u) = 173*u**3 - 3*u**2 - 3*u - 98. Let h(j) = 347*j**3 - 5*j**2 - 5*j - 195. Let x(b) = 3*h(b) - 5*r(b). Differentiate x(s) with respect to s.
528*s**2
Let b(u) be the second derivative of 7*u**5/4 + u**4/3 - 49*u**2/2 + 56*u. What is the first derivative of b(v) wrt v?
105*v**2 + 8*v
Find the second derivative of -13*w**3 - 11*w**3 + 47*w - 65*w**2 - 8*w**3 + 1 + 34*w**3 wrt w.
12*w - 130
Suppose 10 = c - 4*t, 2*c + 10 = 4*t + 22. Let o(w) be the second derivative of 0*w**3 + 0 + 1/12*w**4 + 9/2*w**c - 8*w. What is the derivative of o(g) wrt g?
2*g
Suppose 42 = -3*x + 105. Let s = x + -21. Find the second derivative of 109*p**5 + 2*p + s*p - 113*p**5 wrt p.
-80*p**3
Let w = -6 - -15. Suppose w = 4*t - 11. What is the third derivative of 10*q**t + 3*q**3 - 3*q**3 - 3*q**5 + 6*q**2 wrt q?
420*q**2
Let h = -8 - -10. Suppose 0 = -3*l + 6, h*f + 4*l - 9 = 11. What is the third derivative of -3*v**2 + 6*v**6 + 2*v**2 - v**f wrt v?
600*v**3
Let b(u) = u**2 - 2*u - 5. Let y be b(-2). Suppose y*m - 3*j = 2*m + 5, 5*m - 5*j = 25. Find the second derivative of -32*p**m + 3*p + 22*p**5 + 7*p wrt p.
-200*p**3
Suppose 5*k + 4 = -x + 10, 5*k - 30 = 5*x. Suppose k*q - 11 = 1. What is the third derivative of g**2 - 5*g**6 + 0*g**6 - g**6 - 5*g**q wrt g?
-13 | {
"pile_set_name": "DM Mathematics"
} |
+ 4*p = -19 - 3, -5*n = 4*p + 25 for n.
-1
Solve 4*i = -2*c - 1 + 17, i + 3*c - 4 = 0 for i.
4
Solve -2*r + 2*n + 0 + 8 = 0, -5*r - 4*n = -2 for r.
2
Solve -4*m - 16 = -5*s + 4, -2*s - 5*m + 8 = 0 for s.
4
Solve 1 = -k + 5*n - 13, -k = 2*n for k.
-4
Solve -5*b = 3*v + 12, b + 8 = 3*v + 2 for b.
-3
Solve -4*c - 5*b + 17 = 0, -5*c - 17 - 13 = -4*b for c.
-2
Solve -3*h + 14 = 4*d, -5*h - 68 = -3*d - 43 for h.
-2
Solve 2*y = p + 11, 5*y - 23 = -14*p + 12*p for y.
5
Solve -4*k - 2 = -5*v, -4*v + 5 = 5*k - 13 for k.
2
Solve 3 = 4*s - 3*d, -4*s - s + 5*d = 0 for s.
3
Solve 4*i + 18 = 2*q, -3*q + 0*i + i + 7 = 0 for q.
1
Solve -2*b = 5*u + 17, 0 = 3*u + b - 0*b + 11 for u.
-5
Solve 0 = r - 4*u - 11, 4*r + 10 + 2 = 2*u for r.
-5
Solve 2*z + 12 = 4*q + 20, -4*z + 2*q = -16 for z.
4
Solve 3*i - 3*k - 3 = 0, 5*i + 19 = -4*k - 3 for i.
-2
Solve 4*j - 16 = 2*z, -3*z - j - 4 + 15 = 0 for z.
2
Solve 2*k + 4 = -i + 9, -5*k + 20 = 4*i for k.
0
Solve -1 - 1 = -4*j + t, 5*t + 10 = 5*j for j.
0
Solve 0 = 2*i + 5*b + 5, 4*i - 2*b + 0*b = 26 for i.
5
Solve 3*t + 3*w = 3, -w - 15 = -2*t - 1 for t.
5
Solve 0 = -2*f - 2*n - 6, -17 = -f + 4*n for f.
1
Solve -2*y - 76*r - 19 = -73*r, 4*r = -2*y - 24 for y.
-2
Solve 3*n + i + 3 = -2*i, -2*i + 14 = -2*n for n.
-4
Solve i + 3*i = 20, 4*i - 35 = -5*k for k.
3
Solve -4*g + 4 = x, -47*g = -5*x - 51*g + 4 for x.
0
Solve 13*j - 62 = -u, -4*u - 60 = -3*j - 33 for j.
5
Solve -4*l = 3*t - 2, 3*l - 4 = -t - 0*l for t.
-2
Solve -2*x - 14 = -3*k, 37*k + 2*x = 39*k - 12 for k.
2
Solve -3*a - 6 = -3*r, 0*a - 2*a + 4*r - 2 = 0 for a.
-3
Solve l + 3*l = z + 16, -2*l = -10 for z.
4
Solve 0 = 10*n - 5*n + m + 7, -5*n - 13 = -m for n.
-2
Solve -4*s - 2*j - j - 9 = 0, 4*j + 12 = 3*s for s.
0
Solve 0 = -5*c - 15, 2*c = 2*o - c - 1 for o.
-4
Solve 3*t + m - 17 + 7 = 0, 2*m = 5*t - 13 for t.
3
Solve 11 - 3 = -2*s - 2*m, -4*s - 16 = -4*m for s.
-4
Solve -5*v + 6 + 19 = -3*m, -m - v + 5 = 0 for m.
0
Solve 5*u + 20 = 0, -3*u = -5*h + 2*u + 15 for h.
-1
Solve 37 = 4*v - 5*d, 2*d + 18 = 5*v - 7 for v.
3
Solve 0 = 3*r - 2*r - 3*k + 1, -4*r - 4 = -2*k for r.
-1
Solve 4*s = 100*j - 99*j + 12, 0 = 2*j - 8 for s.
4
Solve 0 = -4*p, -2*p = -g + 1 + 3 for g.
4
Solve s - 1 = 2*x, 2*x + 19 + 7 = -4*s for s.
-5
Solve -4*o - 15 = t, 2*o + t + 3 = -6 for o.
-3
Solve 20 = 5*x, 0*a - 16 = -4*a - x for a.
3
Solve -3*z = 2*c - 2, 8 = 30*c - 28*c for z.
-2
Solve 5*w - 2*s - 19 = 0, -3*s + 6 = 4*w - 23 for w.
5
Solve -6*n + 5*h = -n + 20, 7 = -n + 2*h for n.
-1
Solve 2*u + 3*x = -22, -17 = 3*u - x - 6 for u.
-5
Solve -3*z + 24 = 3*w, 125*z - 4*w = 122*z - 11 for z.
3
Solve -5*o = 5*h - 40, 4*h - 2*o - 226 = -224 for h.
3
Solve 0 = -9*w + 8*w + 3*n - 12, -58 = -11*w - 5*n for w.
3
Solve -2*j + 24 = -7*j + 2*c, 4*j + 26 = 5*c for j.
-4
Solve -4*d - 12 = -31*w + 27*w, 0 = d + 5 for w.
-2
Solve 3*s - i = -13, -407*s + 402*s - 45 = 3*i for s.
-6
Solve -3*b - 2*u - 11 = 0, -2*b = -u - 3 + 1 for b.
-1
Solve 0 = 59*g - 54*g + 4*j - 10, -2 = -g - 4*j for g.
2
Solve 2*p = -4*g + 8*g + 14, 2*g = 5*p - 19 for p.
3
Solve -5*f - 10 = 3*v, -2*f - 4 = -5*v + 9*v for f.
-2
Solve 0 = -4*d - 5*l - 31, 3*l + 14 = -2*d + l for d.
-4
Solve -3*d - 3 = -6*d + 3*p, -4*d + 3*p + 8 = 0 for d.
5
Solve 2*q + 3*v = 19, -5*q + 2*v = 5*v - 34 for q.
5
Solve -4*s + x = -x + 6, 0 = 4*s - 5*x + 9 for s.
-1
Solve h = -2*x + 3, 3*x + 2*x = -4*h + 9 for x.
1
Solve -11*u + 2*w = -10*u - 13, -4*u - 3 = 3*w for u.
3
Solve -3*p - 8*s - 6 = -5*s, -2*s - 12 = 4*p for p.
-4
Solve 26 = -4*p - 2*r, -28 = 16*p - 11*p + r for p.
-5
Solve 0 = 3*k - 15, 0*w + 30 = 5*w + 2*k for w.
4
Solve 0*s + 2*s + 2 = -2*x, -2*x + s = 14 for x.
-5
Solve -3*a + 6*o - 9*o - 3 = 0, -2*a - 9 = -5*o for a.
-2
Solve 0 = -4*r - n - 5, -3*r - 4*n = n - 9 for r.
-2
Solve v = -3*t - 8 - 5, -4*v = -t - 13 for t.
-5
Solve 5*s + 10 = 0, 0 = 2*i + 7*s - 2*s + 20 for i.
-5
Solve l + 15 = 4*o, 20 = 4*l + 2*o + 2*o for l.
1
Solve -2*v - 8 = -2*i, 0 = 3*i - 0 - 6 for v.
-2
Solve -5*z - 23 = 3*u, -14*u + z = -13*u - 3 for u.
-1
Solve 2*k - 16*m + 14*m - 12 = 0, -3*k + 2 = 5*m for k.
4
Solve 5*j = 20, -h + 3*j = -6*h + 27 for h.
3
Solve -5*k - 7*r = -2*r + 15, 5*k = -r - 15 for k.
-3
Solve w + w = 3*d + 8, -d = -2*w + 8 for w.
4
Solve -z + 6 = -2*c, 4*c - 7*c - 31 = 4*z for z.
-4
Solve 0 = -2*u - 5*i - 25 + 9, 4*i = -4*u - 20 for u.
-3
Solve 0*x - l - 25 = 5*x, 5*l - 15 = 3*x for x.
-5
Solve t + 6 = 2*b, -3*t - 10 = 2*b - 0*t for b.
1
Solve -4*t + 3 = l, 210*t - 206*t - 2*l = -6 for t.
0
Solve y = 4*n + 16, 2*n - 7*n = -2*y + 23 for y.
4
Solve -27 + 32 = 5*v + 3*q, -3*v = 3*q - 9 for v.
-2
Solve 3*j + 5*o + 19 = 7, 0 = j + 2*o + 5 for j.
1
Solve -4*p - 27 = -5*y, -3*y - 10 = 5*p - 4 for y.
3
Solve 0 = 4*t - 4*q + 28, 0*q + q = 4*t + 13 for t.
-2
Solve t - 5*t + 1 = -3*w, 3*w = -3*t + 27 for w.
5
Solve -33*x + 2*g + 3 = -32*x, -4*g - 9 = -3*x for x.
3
Solve 160*r - 159*r - 17 = -4*f, -16 = -2*f - 2*r for f.
3
Solve 5*u = 2*w + 15 - 17, 0 = 4*u - 3*w - 4 for u.
-2
Solve -2*y - 4*p = y - 18, 5*p = -5*y + 25 for y.
2
Solve r - o = 16 - 15, -4*r - 4*o = -44 for r.
6
Solve 31 = -5*d - 3*j, -2*j - 5 = -1 for d.
-5
Solve 0 = -2*i + 3*a + 7, -21 = 2*i + 2*i + a for i.
-4
Solve -2*t + 9 = -5*x, -x = -2*x + 4*t + 9 for x.
-3
Solve 3*h = 3*g - 6, -41*h = -44*h for g.
2
Solve 3*n - 5*j + 40 = 0, n - 17 + 37 = 3*j for n.
-5
Solve -2*r - 4*l = 10, 4*r - 7*r - 2*l = 11 for r.
-3
Solve 2*g = 5*m - 1, 3*g + 44 - 55 = -5*m for m.
1
Solve -2*k + 5 = -5*a - 5, 12 = -4*k + 2*a for k.
-5
Solve -5*l + 27*w = 28*w - 19, -4*l + 2*w = -18 for l.
4
Solve 3*h - 35 = 4*a, a + 10 + 0 = h for h.
5
Solve 0 = 3*d - 3*c + 21, 4*d = -d - 5*c + 15 for d.
-2
Solve -3*p = 3, -40*p = 2*m - 39*p - 3 for m.
2
Solve 2*y + 3*g = -y + 15, -5*g = -3*y + 15 for y.
5
Solve -4*u = -2*o - 28, -6*o + 5 = -o + 5*u for o.
-4
Solve -3*w + 403 = 3*b + 424, -10 = -2*w + 4*b for w.
-3
Solve -19*g + 23*g = -3*j + 14, 5*g - 20 = -5*j for j.
2
Solve 4*s = -4*w - 28, -4*s + 4*w - 8 - 4 = 0 for s.
-5
Solve 4*d + 4 = -2*t, d - 3*d = 0 for t.
-2
Solve 0 = 5*g - 7*j + 4*j + 46, -1 = 3*g + 2*j for g.
-5
Solve -q + 4 = 3*o, -o + 2*q + 10 = -3 for o.
3
Solve -5*c - 3*x + 17 = -0, 0 = -c + 5*x + 9 for c.
4
Solve -g = b - 1, -6*g = 5*b - 8*g + 2 for b.
0
Solve -9*j - 3 = 3*z - 12*j, 16 = -z - 4*j for z.
-4
Solve 0 = -i - q, i + 5*q + 20 = -0*i for i.
5
Solve -2*u - 5*q = -11, 8*u - 4*u - 4*q = -20 for u.
-2
Solve 0 = -4*r - 16, -2*r - 6 + 4 = 3*l for l.
2
Solve -q + c - 23 = 6*c, -5 = -5*q - c for q.
2
Solve 5*m + 54*i = 57*i, i = -4*m + 17 for m.
3
Solve -4*u = 3*n - 11, -3*n + 6*n = -8*u + 19 for u.
2
Solve -3*a - 2*a + 25 = 4*x, 0 = -2*x - 3*a + 15 for x.
0
Solve 0*m = -5*a + 5*m + 15, -5*a = 5*m + 25 for a.
-1
Solve 5*n + 2*c - 20 = -1, n - 14 = 3*c for n.
5
Solve 7*d - 12*d + 19 = 2*f, 2*d - 4 = f for f.
2
Solve 3 = -3*b + 4*b, 4*u - 2*b + 14 = 0 for u.
-2
Solve 0 = 4*x + 4*f - 12, -8*x + 7*x + 4*f = 7 for x.
1
Solve 4*d - 5*m - 16 = 0, 6*d + m = 8*d - 8 for d.
4
Solve -4*y - 16 = 0, -4*y - 6 = -5*c + 5 for c.
-1
Solve 3*f = -0*f + 3*l + 12, 0 = -2*f + 3*l + 7 for f.
5
Solve -15 = 3*j, -g + 5 = -j + 3 for g.
-3
Solve 2*f - 10 = -4*a, -2*a = 3*f + 3*a - 11 for f.
-3
Solve -h = -4*f + 1, -f + 11 + 2 = 4*h for f.
1
Solve 5*l = 5*j - 20, -4*j - 9*l + 12*l = -14 for j.
2
Solve -4*o + 12 = -4*y, 0 = 5*y + 2*o - 0*o + 22 for y.
-4
Solve 5*q = 5*j + 5, j + 11 = -3*q + 2 for j.
-3
Solve -10*z = 3*k - 8*z - 8, -k - 3*z + 5 = 0 for k.
2
Solve -2*v = g + 1, 5 = -v - g + 3 for v.
1
Solve 4*s - 3*l - 24 = -23, 0 = -s + 2*l - 6 for s.
4
Solve -5*j + 25 = 0, -3*z + 4*j = 5 + 15 for z.
0
Solve -4*j = 5*x - x, j = x for x.
0
Solve 4*h - 3*h - 2*b = -8, 2*h + b + 6 = 0 for h.
-4
Solve 3*i = f - 2, 2*f = -i - 4*i + 4 for i.
0
Solve -2*m - 26 = -5*b, 8 = 2*m + 4*b - 2 for m.
-3
Solve 37*i - 34*i - 3*y - 6 = 0, -2*i - 2*y = 0 for i.
1
Solve -l + 18 = 3*o, -2*l + 3*o + 556 - 565 = 0 for l.
3
Solve -191*a + 188*a = -4*q + 17, -12 = 4*a for q.
2
Solve 216*q + 5*j - 2 = 218*q, -j = 5*q + 5 for q.
-1
Solve 3*o + 10 = -l, 5*l + 311 = -3*o + 309 for l.
2
Solve 7 - 9 = -2*c - u, -2*c + u + 10 = 0 for c.
3
Solve 0 = -5*h + 2*f + 7, -4*f = h + 4*h - 31 for h.
3
Solve 6 = -5*p - 4*x, 10*x = -3*p + 14*x - 10 for p.
-2
Solve 4*s - 6*s = -5*p + | {
"pile_set_name": "DM Mathematics"
} |
+ 4. Let l be s(-13). Suppose -3*k = -2*h + 1690, 17*h - 3*k = 12*h + l. What is the units digit of h?
2
Suppose 5*c - 219810 = -35350. What is the ten thousands digit of c?
3
Let p(r) be the second derivative of 0 - 1/6*r**4 + 4*r**2 + 23*r + 25/6*r**3 - 1/20*r**5. What is the units digit of p(-6)?
2
Suppose v - 3*i + 2 = 0, 3*v + 2*v - 8 = -3*i. What is the tens digit of 10/(2 + 119/(-40) + v)?
0
Suppose -5*m = -4*k - 7751, -m + 123*k + 1543 = 124*k. What is the tens digit of m?
4
What is the units digit of (-3)/(-5)*(-12 + -237261*(-11)/33)?
5
Suppose 5*z + 1067 - 347 = 0. Let c = z - -187. What is the tens digit of c?
4
Let y = 32438 - 22097. What is the ten thousands digit of y?
1
Let m = -97 - -163. Let o(n) = n**2 - 8*n + 17. Let y be o(4). Suppose -m + y = -w. What is the tens digit of w?
6
Suppose -165*p + 3371550 = -15*p. What is the units digit of p?
7
Let g be (((-1)/2)/((-8)/224))/(-1). Let l be (0 + (-1)/3)*84/g. What is the units digit of (-451)/11*l*-1?
2
Let y(d) = -11*d**2 + d**3 + 34*d + 28*d**2 - 24 + 6*d**2 - 5 - 42. What is the hundreds digit of y(-20)?
4
Let b(z) be the third derivative of 1/3*z**4 + 4/3*z**3 + 0 + 0*z - 17*z**2. What is the tens digit of b(7)?
6
Suppose -20*w - 53*w + 448407 = -703825. What is the thousands digit of w?
5
What is the units digit of (-14 + 9)/(5 + 45072/(-9014))?
5
Let h(a) = 6 + 3*a - 2*a + 5. Let u be h(-6). What is the units digit of (-3)/(3 + 12) + 371/u?
4
Let k(w) = w**3 + 3*w**2 - 5*w - 4. Let r be k(-4). Let a(q) = r*q + 10 + q - 5 + 19*q**2 + 4*q. What is the tens digit of a(-2)?
7
Suppose 9 - 5 = 2*a. Suppose -308 = -a*i + 338. Suppose u = 2*f + 189, -3*u - f + i = -244. What is the tens digit of u?
8
Let m be 6/(1/3 - 8/16). Suppose -2*a = -5*t + 2*a - 3072, 2*t + 1230 = a. What is the hundreds digit of t/(-5) - m/45?
1
Let t(d) = 73*d**3 - 3*d + 2. Let g be t(1). Suppose g - 12 = 4*f. Suppose 0 = -5*c - f, 3*m - 97 = m + 5*c. What is the units digit of m?
1
Suppose -4*t + 40 + 354 = -3*y, 3*y = -2*t + 188. Suppose 732*q + 663 = 735*q. Let d = q - t. What is the hundreds digit of d?
1
Let x(o) = -84*o + 618 - 649 - 22*o - 6*o. What is the hundreds digit of x(-3)?
3
Let l be (14 - 12) + 0/4. Suppose 0 = 6*r - 3*r - z - 1537, -4*r = -l*z - 2046. What is the hundreds digit of r?
5
What is the units digit of (-65 + -1)/(26 + 38430/(-1476))?
4
What is the tens digit of ((-4334)/(-55))/((-8)/(-200))?
7
Suppose 0 = 49*q - 150354 - 232385. What is the tens digit of q?
1
Let o(z) = -114*z + 401. What is the tens digit of o(-74)?
3
Let r = 10694 + -2780. What is the tens digit of r?
1
Suppose 165 = 5*h + 5*w, 2*h - w - 60 = -0. Let c = 37 - h. What is the units digit of (c/4)/(78/6760)?
0
Let p(l) = 1772*l**2 + 31*l + 64. What is the units digit of p(-2)?
0
Let m(f) = f**2 - 7*f - 1. Let k be m(9). Let c(g) = -13*g - 9. Let z(s) = 37*s + 26. Let r(d) = k*c(d) + 6*z(d). What is the units digit of r(2)?
5
Let k = 1751 - 189. Let l = k + -914. What is the tens digit of l?
4
Let j be (-15 - -24)*1/(-3). Let m be 190 - ((-1)/(2 - 1) - j). Suppose -34*i + 32*i = -m. What is the tens digit of i?
9
What is the tens digit of (74971/(-52) + -5)/(3/(-4))?
2
Suppose 5*b - m - 22254 = 34616, 4*b + 2*m = 45510. What is the ten thousands digit of b?
1
Let s be 6/24*1/(-3)*0. Suppose s = -142*k + 146*k - 6416. What is the tens digit of k?
0
Let n = -64 + 45. Let w(h) be the first derivative of -3*h**2/2 + 6*h - 714. What is the tens digit of w(n)?
6
Suppose 10 = g + g. Let t be (-7414)/66*5/(15/(-9)). Suppose -3*k - k + 5*o = -t, g*k - 425 = 5*o. What is the tens digit of k?
8
Suppose 0 = -32*a + 131979 + 105013. What is the thousands digit of a?
7
Let z(b) = 110*b + 1635. What is the hundreds digit of z(-12)?
3
Suppose -24876 = -3*f + 4*d + 28007, 2*d = -2*f + 35232. What is the ten thousands digit of f?
1
Let i(m) = -2*m**3 - 6*m**2 + 3*m - 2. Let r be i(-4). Suppose -4*z + 94 = p - r, p + 33 = z. What is the units digit of z?
9
Let w = -11055 - -19220. Suppose -6532 = -4*h - s, 3*h - w = -2*h + 5*s. What is the hundreds digit of h?
6
Let y(i) be the third derivative of i**4/2 - 7*i**3/6 - 20*i**2. Let f(g) = g**3 - 8*g**2 + g - 5. Let b be f(8). What is the tens digit of y(b)?
2
Suppose 30*k - 28*k = -u + 5645, -5*u + 28160 = -3*k. What is the tens digit of u?
3
Suppose -244*f + 15074775 = 127*f + 250*f. What is the thousands digit of f?
4
Suppose -137 = 3*x - 2*s + 2522, 2*s = 4*x + 3548. Let l = -496 - x. What is the hundreds digit of l?
3
What is the hundreds digit of 15499 - (8 + 21*(-10)/30)?
4
Suppose -544887 = -45*c + 281063 + 337525. What is the units digit of c?
5
Let l = -498 + 33852. What is the thousands digit of l?
3
What is the units digit of 3433/((-24)/(-30) + (-1)/(-5))?
3
Let a(o) = 2*o + 32. Let x be a(-12). Let h(k) = k**3 - 14*k**2 + 6*k + 24. Let z be h(x). What is the units digit of (z/(-28) + 1/(-7))*13?
3
Let u(w) = 3*w**3 + 178*w**2 - 103*w + 79. Let t be u(-60). Suppose l + 2664 = -3*l. Let q = l - t. What is the hundreds digit of q?
2
Let d(a) be the second derivative of -a**3/6 + 9*a**2/2 + 13*a. Let s be d(6). Let l(q) = 10*q**2 - q + 2. What is the units digit of l(s)?
9
Let j be 3/(-9)*2*(188 + -14). Let b = j + 152. What is the tens digit of b?
3
What is the units digit of ((-219831)/5)/(-3) - 1 - 26/65?
4
Let f(b) = -22 + 74*b + 0 + 4 - 67*b. Suppose -63 = -2*s - 5. What is the hundreds digit of f(s)?
1
Let a(z) = -3*z + 1. Let o be a(-1). Let r(d) = 28*d**2 + 11*d - 36. What is the tens digit of r(o)?
5
Let s(t) = 24*t**2 + 5*t + 6. Let m be s(5). Let f be (-24)/(-18) + 4154/3. Suppose -5*z + m = 3*i - 751, -i - f = -5*z. What is the hundreds digit of z?
2
Let a(x) = -x**3 + 23410. What is the tens digit of a(0)?
1
Let d(u) be the third derivative of 19*u**4/12 - 8*u**3/3 + 173*u**2. What is the tens digit of d(3)?
9
Let d(g) = -26*g + 41. Let a be d(16). Let p = a - -682. Suppose 0 = 5*n - f - p, 5*f - 75 - 98 = -3*n. What is the units digit of n?
1
Let i(v) = 110*v + 85. Let t be i(17). Suppose -y + 6*y = t. What is the units digit of y?
1
Let i = -19777 + 28920. What is the tens digit of i?
4
Let o(x) = -2*x**3 - 6*x**2 - 2*x + 82. What is the tens digit of o(-11)?
4
Suppose 5*l = -4*c + 800, -5*c + 4*c = 0. Let x = l - 95. Let q = x - 40. What is the tens digit of q?
2
Suppose -6*r + 33 = -45. Suppose 408 = r*n - n. What is the units digit of n?
4
Suppose -158*j = -141*j - 214013. What is the thousands digit of j?
2
Let r = 0 - -12. Suppose b + 12485 = r*b. What is the thousands digit of b?
1
Suppose 2*q = 3*m - 3149, m = 3*q + 941 + 118. Let y = m + -568. What is the tens digit of y?
7
Let v be ((-59)/(0 - 1))/(-1). Let g = v + 66. Suppose 246 = -4*j + g*j. What is the tens digit of j?
8
Let t(d) = d**3 - 8*d**2 - 17*d + 87. What is the tens digit of t(9)?
1
Suppose -3*o - 5*o - 296 = 0. Let m = o + 55. What is the tens digit of (((-112)/(-12) - 3) + -3)*m?
6
Suppose -j + 5*a + 1789 = -7210, 2*a - 8 = 0. What is the hundreds digit of j?
0
Let i be (-36)/(-14)*1344/36. Suppose -t + 241 = -2*k, -i + 337 = t + 3*k. Let r = t + -146. What is the tens digit of r?
9
Let j(i) = 892*i**2 - 14*i + 15. Let k be j(1). Suppose 3*b - k = 460. What is the tens digit of b?
5
Suppose t = -3*h + 144, -3*h - 3*t + 60 + 84 = 0. Let n = -37 + h. Suppose -15*x + 72 = -n*x. What is the units digit of x?
8
Let n = 2 - -40. Let o be (14 + 1)/(n/70). What is the tens digit of (o/(-20))/((-1)/76)?
9
What is the tens digit of 54/(-3) + 45035 + 0?
1
Let i be ((-23)/46)/(2/8). Let b(q) = -34*q**3 - q**2 - 2*q. What is the units digit of b(i)?
2
Let l(k) = 10790*k - 4727. What is the ten thousands digit of l(5)?
4
Suppose -5*z + 4*p + 6103 = -9260, z - 3109 = 6*p. What is the tens digit of z?
6
Let g be (2/7)/(4/56). Suppose j = -3*u - 1, -4 = 6*u - g*u - j. What is the tens digit of u*160*20/(-16)?
0
Suppose 3*a - 29*a + 1030968 = 46*a. What is the ten thousands digit of a?
1
Let z = -1 + 3. Suppose 0 = -z*q + 4*q + 1512. What is the units digit of q/(-8) - 2/4?
4
Let m(s) = 35*s**2 - 2*s - 3. Suppose x + 0*g = -2*g + 67, -5*x - 4*g = -359. Let d = -77 + x. What is the units digit of m(d)?
1
Suppose 41*o - 37*o = 24. Suppose -o*l - 4 = -22. What is the units digit of 1*(-4)/(-6)*l?
2
| {
"pile_set_name": "DM Mathematics"
} |
*d - 6. Suppose -2 = -2*q - d*o + 2, 5*q - 10 = 2*o. Let n = -0.08 - 3.92. Sort n, -0.4, 5, q in decreasing order.
5, q, -0.4, n
Let o = 4277 + -4274. Sort -1, o, 0.01, 29 in descending order.
29, o, 0.01, -1
Let w = -16 - -68. Let j = w - 30. Let p = 3 + j. Sort p, 0.2, -2/9 in increasing order.
-2/9, 0.2, p
Let i be ((-2394)/844 - -3)/(10/(-15)). Let a = i - 1/211. Put -12, a, 0.5, -1 in descending order.
0.5, a, -1, -12
Let g = -27.3 - -42.6. Let o = g + -11.3. Put o, -2/5, -4 in increasing order.
-4, -2/5, o
Let m = 561 - 757. Let o = 195 + m. Put 0, 11/4, o in increasing order.
o, 0, 11/4
Let w be 0 + (0 + 1 - 20). Suppose 2*p = 3*p + 1, 7 = 4*y + p. Suppose 0 = 18*f - 13*f - 5*z + 5, -4*z = -5*f. Put f, 1, w, y in increasing order.
w, 1, y, f
Suppose -6*p - 9 + 21 = 0. Let v = 18 - 16. Let a(y) = y**3 - 3*y**2 - y + 1. Let j be a(v). Sort p, j, -6, 1.
-6, j, 1, p
Let k be (-396)/(-180) - (-12)/15. Let z(p) = -p**3 + 4*p**2 + 4*p + 9. Let n be z(5). Put n, -2, k in increasing order.
-2, k, n
Let l(d) = -d**2 - 7*d + 11. Let m be l(-8). Suppose 0 = -m*q - 2*q. Suppose 2*r + 5*a - 38 = q, 3*r = -r - a + 58. Sort r, 0, 3 in descending order.
r, 3, 0
Let q = -778 - -774. Let i = 47 - 58. Put q, 0.2, i, -3 in descending order.
0.2, -3, q, i
Suppose 0 = -h + 3*p + 4, -3*h - 3*p + 26 = -22. Suppose -2 = -15*n + h. Sort 2, -3, -2, n.
-3, -2, n, 2
Suppose 2*a - 7*b = -8*b - 48, -20 = -5*b. Sort a, 27, -4 in decreasing order.
27, -4, a
Let a be -6*(20/54)/((-220)/(-495)). Put 0, 3/5, a, 1, 2/3 in descending order.
1, 2/3, 3/5, 0, a
Let z = 81/5 + -49/3. Let q = -384.585 - -0.585. Let w = q - -387. Sort z, -0.3, w in descending order.
w, z, -0.3
Let c = -69.5 - -71.5. Sort 3, 49, c.
c, 3, 49
Let a(i) = i**2 - i - 1. Let u be a(2). Let h be (-23738)/77688 + 4/(-6)*2/3. Let m be (-4)/2*(-6)/(-14). Put u, h, m in descending order.
u, h, m
Let h(k) = k**2 + 8*k - 22. Let f = -69 + 23. Let z = f + 36. Let w be h(z). Sort 2, 4, w, 1 in increasing order.
w, 1, 2, 4
Let k = -1120 - -911. Let p = -212 - k. Put p, -108, 3/4 in decreasing order.
3/4, p, -108
Suppose -40 = -4*t - 168. Let g be 4*(-1)/t - 39/56. Sort -4, g, 0.4, 1 in increasing order.
-4, g, 0.4, 1
Let u = -272 - -262. Let b = -813 - -818. Put -0.5, b, u in decreasing order.
b, -0.5, u
Let h be 6/(-8)*32/(-12). Suppose -2*s = -3*l + h, -3*l + 4 = -5*l - 4*s. Let o = 25 + -26. Put -2, o, l in decreasing order.
l, o, -2
Let s = -2.93593 - 0.06407. Sort -0.02, -110, s in increasing order.
-110, s, -0.02
Let a be 3/(-15) - (-38)/(-10). Suppose 3*y + 5*h = 2, -22*h + 17*h + 4 = y. Put y, -3, a, 2 in increasing order.
a, -3, y, 2
Let z = 80.031 + -0.731. Let l = z + -80.3. Put 0.7, -1/6, l in descending order.
0.7, -1/6, l
Suppose d = -9*d + 7*d - 30. Sort 19, -4, d in decreasing order.
19, -4, d
Let h(u) = u**3 - 117*u**2 + 129*u - 1513. Let d be h(116). Let l(t) = -t - 19. Let g be l(-8). Let z = -13 - g. Put -4, 13, z, d in descending order.
13, z, -4, d
Let u = -9614 + 9605. Sort u, -5, 0, 8.
u, -5, 0, 8
Let r(s) = 76*s**2 - 4*s + 2. Let z be r(1). Put -4, z, -2, 5 in descending order.
z, 5, -2, -4
Suppose -2*f + 1 = -5*l + 15, 5 = -f + 2*l. Suppose -3*q - 443 = -446. Put -31, q, f, -2 in decreasing order.
f, q, -2, -31
Let d be (2/(-8))/(209/(-44) + 4). Let y = -55 + 59. Let h = -0.11 - 0.29. Sort h, y, d in descending order.
y, d, h
Let y(n) = -179*n + 2872. Let i be y(16). Sort i, 20, 11 in descending order.
20, 11, i
Let n = -0.5796 + 1.2696. Sort 5/2, n, 2/11, -2/11.
-2/11, 2/11, n, 5/2
Let g = 13 + -16. Let n be 8*1*(-3)/(-6). Suppose 5*t + n*v = 13, -7*t - v = -3*t - 6. Sort t, g, -5, 2 in decreasing order.
2, t, g, -5
Suppose 3*o + 32 = 5*i + 345, 2*o - 4*i = 208. Let y = o + -101. Put y, 1, 37 in decreasing order.
37, y, 1
Suppose n + 7 = 2*u, 2*n + u = 7 - 11. Sort 6, n, -1, 0.4, 5 in increasing order.
n, -1, 0.4, 5, 6
Suppose 5*v + 3*b + 2 = 4*v, -b = v. Let f be 4 + -4 + v/(-1). Sort -3, -0.1, 17, f in ascending order.
-3, f, -0.1, 17
Let l be (11 - 12) + 868/917. Sort 1/4, -4/9, l, 0.3, -5.
-5, -4/9, l, 1/4, 0.3
Suppose -15*h - 4*u + 2 = -20*h, -16 = 5*h - 2*u. Sort h, 19, 3 in ascending order.
h, 3, 19
Let d = 73 - 34. Let g be 6/2*(41 - d). Sort g, 4, -2, -5 in ascending order.
-5, -2, 4, g
Let d(i) = i**3 - i - 14. Let q be d(0). Let k(p) = -p**2 + p + 4. Let b be k(0). Put -1, -3, b, q in increasing order.
q, -3, -1, b
Let m = 4892 - 4896. Put -1, -118, m, 5, 1 in decreasing order.
5, 1, -1, m, -118
Let j be (2/(-8))/(9/96*4). Let o = 0.0307 - -0.9693. Put j, -0.3, o in ascending order.
j, -0.3, o
Let p(s) = 2*s**2 + 5*s - 1. Let r be p(-4). Suppose 5*w + 0*w = -10. Let y be (r/22)/(-1*(1 + w)). Sort y, -0.4, -1 in descending order.
y, -0.4, -1
Let v = -691 - -826. Let g = -117 + v. Sort 4, g, -0.5 in descending order.
g, 4, -0.5
Let m be -3 + (1 - 3) + 4. Let b be (2/(-9) + (-162)/(-729))/2. Put 5, b, -3, m in increasing order.
-3, m, b, 5
Let w(n) = 547*n - 8745. Let c be w(16). Sort 1, 246, c.
1, c, 246
Let o = -570223/15 - -38015. Let g = -5 + 0. Put o, -1, g, 1/7 in descending order.
1/7, o, -1, g
Suppose -2013*x = -1961*x + 1300. Put 1/83, x, -1/4, 5 in descending order.
5, 1/83, -1/4, x
Suppose 5*x + 3*l = -2*l - 30, -4*x = -3*l - 4. Let f = 6 - x. Suppose 33 = 7*b - 2. Sort 1, b, f in increasing order.
1, b, f
Let n be 19 + -2 + (-1272)/72. Let p = 0.07 - 6.07. Sort 0.1, p, n in descending order.
0.1, n, p
Suppose -4*n + 63 - 27 = 5*g, g - 24 = -5*n. Suppose -47 = n*s + 13. Put s, 2, 4, -5 in ascending order.
s, -5, 2, 4
Let g = -7648 + 7712. Sort g, 2, 0, 5, 1 in decreasing order.
g, 5, 2, 1, 0
Let b = -338 + 98. Let u = b - -240.4. Let p = -0.8 - 3.2. Put u, -1/6, p in descending order.
u, -1/6, p
Let d(y) = -33*y - 1717. Let p be d(-52). Put 5, -5, 47, p, 3 in decreasing order.
47, 5, 3, p, -5
Let a = -3632 + 3640.6. Put -4, a, 2/3 in descending order.
a, 2/3, -4
Suppose 2*h - 8 = -2*d, h = -4*d + d + 8. Suppose -j + 3 = d*o - 9, -2*j = -o + 1. Let r be 2*9/12*j. Sort r, -5, 4.
-5, r, 4
Let q = 115 - 78. Let m = q - 37.2. Let z = -4.8 + m. Sort z, -3/7, 0.4 in increasing order.
z, -3/7, 0.4
Let w = 570.4 - 519. Let u = -51.2 + w. Sort -25, 3/2, u in decreasing order.
3/2, u, -25
Suppose 4*s + 0 - 8 = 0. Suppose -t + 1 = s*q, -4*t + q + 2*q + 4 = 0. Let a be (-96)/(-16) - 6 - 2/2. Put -5, a, 0, t in descending order.
t, 0, a, -5
Let h be ((-8)/(440/(-11)) + (-14)/(-30))*-6. Put h, -509, 3 in increasing order.
-509, h, 3
Suppose s = -1 + 3. Suppose 0 = s*t + 14 - 8. Put -51, -4, t in decreasing order.
t, -4, -51
Let q(m) be the first derivative of 12*m**2 + 145*m + 230. Let k be q(-6). Sort 2, -5, k, 4 in ascending order.
-5, k, 2, 4
Let j = -199 + 170. Let x(r) = 2*r**2 + 56*r - 61. Let k be x(j). Sort k, 3, 5 in descending order.
5, 3, k
Let h = -499 - -306. Let i = -193.05 - h. Put i, -3, 0.1, 3 in descending order.
3, 0.1, i, -3
Let b be 2/(-3 + 5)*2. Suppose -h - 12 = b*y, 5*y - 6*h + 3*h + 19 = 0. Sort 2, -8, y, 4.
-8, y, 2, 4
Let z = 0.6 - 0.7. Suppose 10 - 28 = -9*d. Suppose -d*g - 3 = m + 10, -3*g + m - 7 = 0. Sort g, 0.3, z, -0.2.
g, -0.2, z, 0.3
Let p = -24 - -24.3. Let b = 1.686 - 1.586. Let u = -0.04 + -1.96. Put p, b, u, 1 in decreasing order.
1, p, b, u
Let d be 156/(-585) - 1*2/5. Let u = 52.025 - 0.025. Put d, u, 2/11, 0.3 in descending order.
u, 0.3, 2/11, d
Let h(b) = 2 - 22*b - 18*b + 42*b. Let v be h(-8). Let d be (1/(-3))/(v/126). Put 1/6, d, -3 in decreasing order.
d, 1/6, -3
Let d = 386.9 + -385.9. Put 5, -12, 2, 4/5, d in decreasing order.
5, 2, d, 4/5, -12
Suppose -4*m + 5*q + 6617 = 0, 5*m + m = -4*q + 9914. Sort 3, -1, m in descending order.
m, 3, -1
Let y = 1541 - 1536. Sort -4, y, 4, 25 in ascending order.
-4, 4, y, 25
Let r be (-4 + 21 - 13)/1. Let k(u) = -u**3 - 3*u**2 + 2*u + 2. Let y be k(2). Put y, r, -3 in ascending order.
y, -3, r
Let z = -372 + 3350/9. Sort z, 22, -1/18, -0.2 in increasing order.
-0.2, -1/18, z, 22
Suppose 0 = 4*g - 5*y - 7, -g - 10 = -3*g - 4*y. Let n = 7.15886 - 0.15886. Put -3, n, g in increasing order.
-3, g, n
Suppose 0 = -19*b - 59 + 97. Suppose -9 = 4*i - o, -2*i + 84 - 90 = -b*o. Put 5, -5, i in decreasing order.
5, i, -5
Let y(r) = -r**3 + 31*r**2 - 185*r + 26. Let a be y(23). Let p = -6.7 - -23.8. Let v | {
"pile_set_name": "DM Mathematics"
} |
PM?
10:07 PM
What is 42 minutes after 11:20 PM?
12:02 AM
What is 677 minutes after 1:37 AM?
12:54 PM
How many minutes are there between 9:47 AM and 5:11 PM?
444
How many minutes are there between 6:00 PM and 5:33 AM?
693
What is 394 minutes before 7:12 PM?
12:38 PM
What is 304 minutes before 12:49 AM?
7:45 PM
How many minutes are there between 12:30 AM and 8:35 AM?
485
How many minutes are there between 2:53 PM and 11:33 PM?
520
What is 424 minutes after 7:44 PM?
2:48 AM
How many minutes are there between 10:56 AM and 9:16 PM?
620
How many minutes are there between 7:11 AM and 4:54 PM?
583
What is 596 minutes after 2:28 PM?
12:24 AM
How many minutes are there between 2:19 PM and 7:24 PM?
305
How many minutes are there between 1:15 AM and 4:07 AM?
172
What is 166 minutes after 11:13 PM?
1:59 AM
How many minutes are there between 3:00 PM and 9:27 PM?
387
What is 467 minutes before 7:20 AM?
11:33 PM
How many minutes are there between 4:35 AM and 6:03 AM?
88
How many minutes are there between 12:28 AM and 10:01 AM?
573
What is 91 minutes after 7:03 AM?
8:34 AM
How many minutes are there between 7:09 AM and 6:54 PM?
705
How many minutes are there between 1:39 AM and 12:23 PM?
644
How many minutes are there between 8:57 PM and 6:14 AM?
557
How many minutes are there between 10:35 PM and 1:58 AM?
203
What is 570 minutes after 3:23 PM?
12:53 AM
How many minutes are there between 11:04 AM and 11:55 AM?
51
What is 583 minutes before 7:00 PM?
9:17 AM
What is 181 minutes before 2:26 AM?
11:25 PM
How many minutes are there between 6:46 PM and 4:42 AM?
596
How many minutes are there between 9:58 AM and 7:47 PM?
589
What is 503 minutes before 4:14 AM?
7:51 PM
What is 289 minutes before 12:53 AM?
8:04 PM
What is 223 minutes after 5:03 AM?
8:46 AM
What is 526 minutes before 9:43 AM?
12:57 AM
How many minutes are there between 10:48 PM and 11:00 PM?
12
How many minutes are there between 9:14 PM and 10:08 PM?
54
What is 496 minutes after 7:55 PM?
4:11 AM
What is 328 minutes before 10:38 AM?
5:10 AM
How many minutes are there between 2:54 AM and 12:27 PM?
573
What is 517 minutes after 5:36 PM?
2:13 AM
How many minutes are there between 6:06 PM and 10:30 PM?
264
What is 367 minutes before 12:29 PM?
6:22 AM
What is 260 minutes after 12:13 PM?
4:33 PM
How many minutes are there between 3:03 AM and 9:14 AM?
371
How many minutes are there between 2:24 PM and 7:15 PM?
291
What is 508 minutes before 4:12 PM?
7:44 AM
How many minutes are there between 7:54 PM and 12:00 AM?
246
What is 274 minutes before 3:15 AM?
10:41 PM
What is 707 minutes before 9:55 AM?
10:08 PM
What is 568 minutes before 1:01 AM?
3:33 PM
What is 170 minutes after 9:44 AM?
12:34 PM
What is 467 minutes after 6:24 AM?
2:11 PM
How many minutes are there between 7:00 AM and 4:24 PM?
564
How many minutes are there between 3:07 PM and 9:46 PM?
399
What is 154 minutes after 8:21 AM?
10:55 AM
How many minutes are there between 6:28 PM and 12:28 AM?
360
What is 69 minutes after 4:12 PM?
5:21 PM
How many minutes are there between 9:41 PM and 5:15 AM?
454
What is 530 minutes after 3:13 AM?
12:03 PM
What is 660 minutes after 5:11 AM?
4:11 PM
How many minutes are there between 5:06 PM and 3:36 AM?
630
How many minutes are there between 3:44 PM and 10:44 PM?
420
What is 557 minutes after 9:56 AM?
7:13 PM
What is 166 minutes after 11:48 PM?
2:34 AM
How many minutes are there between 8:34 PM and 9:15 PM?
41
What is 145 minutes before 8:05 PM?
5:40 PM
What is 107 minutes after 10:41 PM?
12:28 AM
How many minutes are there between 5:54 PM and 8:26 PM?
152
What is 589 minutes after 7:49 PM?
5:38 AM
What is 277 minutes after 9:06 AM?
1:43 PM
What is 599 minutes before 12:23 AM?
2:24 PM
What is 126 minutes after 4:39 AM?
6:45 AM
What is 553 minutes before 8:31 AM?
11:18 PM
How many minutes are there between 4:11 PM and 1:41 AM?
570
What is 526 minutes after 12:39 PM?
9:25 PM
What is 661 minutes before 4:21 PM?
5:20 AM
What is 6 minutes before 2:19 PM?
2:13 PM
How many minutes are there between 8:58 AM and 4:07 PM?
429
How many minutes are there between 1:55 AM and 1:25 PM?
690
How many minutes are there between 2:38 PM and 2:24 AM?
706
How many minutes are there between 4:37 PM and 8:34 PM?
237
What is 547 minutes before 1:19 PM?
4:12 AM
How many minutes are there between 6:50 AM and 10:45 AM?
235
What is 702 minutes before 8:48 PM?
9:06 AM
How many minutes are there between 9:07 PM and 5:18 AM?
491
How many minutes are there between 6:19 PM and 1:47 AM?
448
How many minutes are there between 9:39 PM and 8:40 AM?
661
What is 10 minutes after 8:52 AM?
9:02 AM
What is 376 minutes after 3:46 AM?
10:02 AM
How many minutes are there between 4:36 PM and 11:34 PM?
418
What is 172 minutes after 8:51 PM?
11:43 PM
What is 310 minutes before 8:17 AM?
3:07 AM
What is 430 minutes before 8:45 PM?
1:35 PM
How many minutes are there between 5:47 AM and 7:19 AM?
92
What is 679 minutes after 4:41 PM?
4:00 AM
How many minutes are there between 12:30 PM and 2:14 PM?
104
How many minutes are there between 11:07 PM and 4:38 AM?
331
What is 246 minutes before 3:19 PM?
11:13 AM
What is 474 minutes after 3:15 AM?
11:09 AM
How many minutes are there between 6:47 PM and 6:57 PM?
10
What is 175 minutes after 1:44 AM?
4:39 AM
How many minutes are there between 10:05 AM and 2:18 PM?
253
How many minutes are there between 10:23 AM and 6:39 PM?
496
How many minutes are there between 7:50 PM and 3:43 AM?
473
How many minutes are there between 2:23 PM and 4:06 PM?
103
How many minutes are there between 2:35 PM and 8:20 PM?
345
How many minutes are there between 10:47 PM and 7:56 AM?
549
What is 680 minutes before 5:57 AM?
6:37 PM
What is 709 minutes before 3:48 PM?
3:59 AM
What is 373 minutes after 3:52 AM?
10:05 AM
What is 693 minutes after 10:54 AM?
10:27 PM
What is 191 minutes before 9:24 PM?
6:13 PM
How many minutes are there between 2:46 AM and 4:58 AM?
132
How many minutes are there between 10:53 PM and 10:26 AM?
693
What is 237 minutes before 8:06 PM?
4:09 PM
What is 126 minutes after 3:36 PM?
5:42 PM
How many minutes are there between 1:08 AM and 4:14 AM?
186
How many minutes are there between 10:17 PM and 5:13 AM?
416
How many minutes are there between 2:56 PM and 6:39 PM?
223
How many minutes are there between 4:28 PM and 11:16 PM?
408
What is 337 minutes before 11:03 AM?
5:26 AM
What is 719 minutes before 7:32 AM?
7:33 PM
How many minutes are there between 5:07 PM and 7:41 PM?
154
How many minutes are there between 9:01 AM and 10:51 AM?
110
What is 11 minutes after 8:06 PM?
8:17 PM
How many minutes are there between 4:44 PM and 6:41 PM?
117
How many minutes are there between 3:56 PM and 10:30 PM?
394
What is 657 minutes before 3:26 AM?
4:29 PM
What is 419 minutes after 4:34 PM?
11:33 PM
What is 144 minutes before 6:09 PM?
3:45 PM
How many minutes are there between 6:31 PM and 4:01 AM?
570
How many minutes are there between 6:05 PM and 10:42 PM?
277
What is 194 minutes after 4:55 PM?
8:09 PM
How many minutes are there between 8:49 PM and 5:11 AM?
502
How many minutes are there between 7:26 PM and 6:07 AM?
641
How many minutes are there between 6:23 AM and 10:06 AM?
223
How many minutes are there between 11:10 AM and 7:47 PM?
517
How many minutes are there between 8:48 AM and 9:07 AM?
19
What is 685 minutes before 1:58 AM?
2:33 PM
What is 636 minutes before 5:24 PM?
6:48 AM
How many minutes are there between 8:49 AM and 7:14 PM?
625
How many minutes are there between 6:50 PM and 1:17 AM?
387
How many minutes are there between 5:47 AM and 6:56 AM?
69
How many minutes are there between 1:53 PM and 6:56 PM?
303
What is 585 minutes after 3:15 AM?
1:00 PM
What is 502 minutes after 9:07 AM?
5:29 PM
How many minutes are there between 11:17 PM and 3:56 AM?
279
What is 630 minutes after 9:39 AM?
8:09 PM
What is 530 minutes after 3:41 AM?
12:31 PM
How many minutes are there between 12:53 AM and 4:07 AM?
194
How many minutes are there between 6:22 AM and 12:06 PM?
344
What is 416 minutes after 7:23 AM?
2:19 PM
How many minutes are there between 11:41 AM and 4:15 PM?
274
What is 27 minutes after 11:53 AM?
12:20 PM
What is 634 minutes after 5:31 AM?
4:05 PM
What is 366 minutes after 11:03 AM?
5:09 PM
What is 388 minutes after 9:45 AM?
4:13 PM
How many m | {
"pile_set_name": "DM Mathematics"
} |
ulate the remainder when c is divided by 16.
13
Suppose 2*h - 4*y - 12 = 8, -y = 2. Let l(n) = n**2 - 2*n - 5. What is the remainder when 55 is divided by l(h)?
17
Let d(j) = j**3 + 8*j**2 + 3*j - 9. Calculate the remainder when d(-6) is divided by 34.
11
Suppose -10*y + 29 = -81. Calculate the remainder when 25 is divided by y.
3
Let j = -2 - 2. Let n = j - -4. What is the remainder when -1 + n - (1 + -29) is divided by 14?
13
Let w(z) = -z + 3. Let l be (12/10)/((-2)/20). Let t be w(l). Suppose 0 = -2*x - 5*o + 17, 0*o + 3*o = -2*x + t. What is the remainder when 17 is divided by x?
5
Let c(p) = p**3 + 8*p**2 + 8*p - 4. Let a be c(-7). Let r = 15 + a. Suppose -2*w + r = -0*w. Calculate the remainder when 3 is divided by w.
1
Let y be ((-3)/(-1))/((-2)/(-2)). Suppose -y*j + 122 = 4*u, -3*j - 127 = -5*u + 12. Calculate the remainder when u is divided by 15.
14
Suppose 3*i = 2*q - 15, -i + 42 - 7 = 2*q. What is the remainder when 59 is divided by q?
14
Let w = -25 + 39. Calculate the remainder when 53 is divided by w.
11
Suppose 0 = -2*c + 28 - 8. Let t = -56 - -84. Calculate the remainder when t is divided by c.
8
Let t(s) = -s**3 - 8*s**2 - 8*s + 9. Let m be t(-7). Suppose o - m = -o. Calculate the remainder when o is divided by 3.
2
Calculate the remainder when 3 + (67/1)/1 is divided by 18.
16
Suppose 14 + 1 = 3*n. What is the remainder when 9 is divided by n?
4
Suppose 6*i = 5*i + 97. Calculate the remainder when i is divided by 20.
17
Let i(m) = 2*m - 5. Let r be i(4). Let d = 3 + r. Let q = 33 - 23. Calculate the remainder when q is divided by d.
4
Let w be 8/36 + 75/27. Calculate the remainder when -76*(w - 4) + 1 is divided by 20.
17
Suppose z = 1 + 3. Suppose 4*a = z + 8. Suppose -a*p + 2*f + 0 = -5, -4*p - 2*f + 30 = 0. What is the remainder when p is divided by 2?
1
Calculate the remainder when -2 - 1/(1/(-92)) is divided by 31.
28
Let f(d) = 2*d**3 - 3*d**2 + d - 1. Let m be (-26)/(-4) - (-15)/(-10). Let p(r) = 2*r**2 - 7*r - 1. What is the remainder when p(m) is divided by f(2)?
4
Let s = -18 + 17. Let b(l) = 72*l**2 + l + 2. What is the remainder when b(s) is divided by 25?
23
Let m = 62 + -37. Suppose -5*l = -r + 109, 0*r - l = -2*r + 200. Calculate the remainder when r is divided by m.
24
Calculate the remainder when 33 is divided by 204/(-8)*2/(-3).
16
Suppose -i = 5 - 0. Let j be (4/i)/(4/(-10)). What is the remainder when 4 is divided by ((-3)/(-9))/(j/18)?
1
What is the remainder when (-7)/((-7)/(-26))*-2 is divided by 27?
25
Suppose -139 = -5*j + 56. Calculate the remainder when j is divided by 10.
9
Let s(l) = 39*l - 4. Let z(q) = -77*q + 7. Let a(b) = -7*s(b) - 4*z(b). Calculate the remainder when a(1) is divided by 9.
8
Suppose 164 = 2*i - 3*f, 5*i + 3*f = -f + 456. What is the remainder when i is divided by 15?
13
Suppose -n - 699 = -264. Calculate the remainder when 109 is divided by 3/12 + n/(-20).
21
Suppose 150 = 5*y + 2*o + 3*o, -4*y + 5*o + 120 = 0. Suppose -c - 4*c + 115 = 2*j, -y = -c + j. What is the remainder when c is divided by -15*(1 - (-8)/(-5))?
7
Let r(a) = -2*a**2 + 10*a + 2. What is the remainder when (-118)/(-6) + 6/(-9) is divided by r(4)?
9
Suppose -2*s = -2*h + h + 45, -4*h - s = -144. Suppose 3*o = -2*y + h, -2*y = 3*o + 3*y - 52. Calculate the remainder when o is divided by 3.
0
Suppose -13*l + 32 + 111 = 0. Let v(n) = -11*n - 1. Calculate the remainder when v(-2) is divided by l.
10
Suppose 3*k - 26 - 4 = 0. Let h(l) = -8*l - 1. Let o be h(1). Calculate the remainder when (261/o)/(-1*1) is divided by k.
9
Suppose -200 = -6*b + b - 5*j, -4*j - 191 = -5*b. Let m(q) = 6*q - 8 - 2*q + 0 + 0*q. Calculate the remainder when b is divided by m(7).
19
Let c(l) = 2*l - 2. Let j be c(11). What is the remainder when 129 is divided by 664/j + (-2)/10?
30
Let y(s) = -s + 22. Let i be y(0). Let z = i + -9. What is the remainder when 37 is divided by z?
11
Suppose -3*w - 2*s + 470 = 0, 441 = 5*w - s - 325. Calculate the remainder when w is divided by 12.
10
Suppose 0 = -0*i + 3*i - 4*s - 79, -5*i + 5*s = -125. Let u = -5 + 9. Let g(x) = 4*x - 5. What is the remainder when i is divided by g(u)?
10
Let q = -2 + 1. Let t(r) = 5*r - 33. Let d be t(10). Let l = d + q. Calculate the remainder when 47 is divided by l.
15
Suppose -45 = 5*h + 5*x, 11 + 1 = -4*x. Calculate the remainder when 46/(-3)*27/h is divided by 18.
15
Let n = -17 + 10. Let p(c) be the first derivative of -c**4/4 - 8*c**3/3 - 9*c**2/2 + 2*c - 2. What is the remainder when 31 is divided by p(n)?
15
Suppose 8 = -4*z + 6*b - 2*b, -4*z + 28 = 5*b. Suppose -5*w + 5 = -5. Calculate the remainder when 6 + w*1/z is divided by 3.
1
Suppose -7*o = -4*o - 108. What is the remainder when 24/((0 + -2)/(-2)) is divided by (-2)/(-12) - (-318)/o?
6
Let n = -13 + 16. Calculate the remainder when 12 is divided by n.
0
Calculate the remainder when 37 is divided by (0 - -16) + 3/(-1).
11
Suppose -2*a = -0*a + 6. Let u = -1 - a. What is the remainder when (-4 + u - -15) + 1 is divided by 8?
6
Let p = -6 - 0. Let d = -4 - p. What is the remainder when 4 is divided by d?
0
Let l = -8 + 13. Let c(s) = 7*s - 5. Let q be c(l). Suppose p - 35 = -2*h, -q = 5*p + 4*h - 175. Calculate the remainder when p is divided by 9.
7
Let x = -29 + 52. Calculate the remainder when x is divided by 75/12 - (-1)/(-4).
5
Suppose 0 = -2*f + 8 - 0, 5*w - 61 = f. Calculate the remainder when 21 is divided by w.
8
Let c be (-6)/(-10)*5*1. Let o = c - -5. Suppose -v + o = 2. Calculate the remainder when 10 is divided by v.
4
Let z be (-26)/6*3/1. What is the remainder when 24 is divided by z*(1 - (4 - 2))?
11
Suppose 2*p + 5*q - 57 = 0, -2*p - 6 = q - 75. What is the remainder when 16 is divided by (1/(-2))/((-2)/p)?
7
Suppose 80 = -3*r + 23. Let g = -3 - r. Suppose 44*i = 1417 - 97. Calculate the remainder when i is divided by g.
14
Let s = -35 - -23. What is the remainder when (59/3)/((-4)/s) is divided by 20?
19
Let n(h) = -4*h + 25. Calculate the remainder when n(0) is divided by (-14)/(-2 + 2/2).
11
Suppose -i = -1 - 2. Let y = i + 5. Suppose -h + 3 = 5*w + 5, 3*w = -2*h + 31. What is the remainder when h is divided by y?
7
Let v = -30 - -38. Suppose l + 3*l = 0. Calculate the remainder when v is divided by (-25)/10*(l + -2).
3
Suppose -7*r + 18*r = 528. Calculate the remainder when r is divided by 10.
8
Let j(i) = 4*i**2 - i + 1. Calculate the remainder when 37 is divided by j(-2).
18
Let l be 3 - (3 - (8 - 4)). Suppose -5*f - y = -l*f - 55, -5*f + 268 = -2*y. Calculate the remainder when f is divided by 14.
12
Suppose 5*y - 64 - 6 = 0. Suppose 3*w - y = 13. Calculate the remainder when 25 is divided by w.
7
Let m = 49 + -23. Let c = -16 + 30. Calculate the remainder when m is divided by c.
12
Let l(d) = d**2 - 3*d - 8. What is the remainder when l(6) is divided by 3?
1
Let o(w) = w**2 - 7*w - 2. Let m be 3 - (3 + (-3 - -1)). Suppose m*g + 6 = f, f - 3*f + 3*g + 14 = 0. What is the remainder when o(-3) is divided by f?
8
Let k(b) = -b**3 + 10*b**2 + 10*b + 26. Calculate the remainder when k(11) is divided by 9.
6
Suppose -4*w - w + 214 = 3*u, -2*u - 2*w = -136. What is the remainder when u is divided by 13?
11
What is the remainder when (-12864)/(-240) - (-1)/5*2 is divided by 28?
26
Suppose 3*m = -i + 37, 0 = -m - 4*i - 0 - 6. Suppose y = -0*y + m. What is the remainder when 40 is divided by y?
12
Calculate the remainder when 7 is divided by ((-5)/3)/(3/(-9)).
2
Suppose 0 = -2*x + 3*x + 37. Suppose -2 = 3*i - 11. What is the remainder when 4/(-14) - x/7 is divided by i?
2
Suppose 3*k = -o + 6*o - 73, -3*k = o - 29. What is the remainder when 46 is divided by o?
12
Suppose -57 + 15 = -2*t. Suppose 0*j - j = -t. Suppose -33 = g - 4*g. Calculate the remainder when j is divided by g.
10
Let t be -4 + (1 - -3) + -107. Let b = -40 - t. What is the remainder when b is divided by 34?
33
Let f = 32 + -15. What is the remainder when f is divided by 8?
1
Let l = -1 - -3. Suppose 4*s + 9 - 1 = -4*h, 0 = -h + 3*s + 18. Let v = 7 - h. What is the remainder when v is divided by l?
0
Suppose -3*t + 8*t - 60 = 0. What is the remainder when 95 is divided by t?
11
Let n = -226 + 232. Suppose 47 = 3*c + 2. Calculate the remainder when c is divided by n.
3
Let w = 11 - 5. Suppose 0 = -4*t + 19 + 89. What | {
"pile_set_name": "DM Mathematics"
} |
-2 - 0. What is the nearest to 0 in j, -5, k?
k
Let l = -287710 + 287709.8. Let k = -4 - -7. What is the closest to l in k, 5, -10?
k
Let a = -55315/4 - -13829. Suppose -k + 6*q - 2 = q, 0 = 3*k - 5*q + 6. What is the closest to a in k, -0.3, -24?
-0.3
Let w = -0.531 + -21.319. Let i = w + 22. What is the nearest to -2/5 in 3, i, -0.2?
-0.2
Let j be 1/21 - (-2)/7. Let g = 76628 - 76630. What is the closest to j in g, 1, -8/17?
1
Let f = -106.9 + 125. Let p = 19.7 - f. Let x be (-4)/(-9) - 1/3. Which is the nearest to p? (a) x (b) 2/5 (c) -2
b
Let h = -0.167 - -0.072. Let k = h - -0.165. Suppose -10 = -5*w - 0*f + 3*f, 5 = -f. Which is the nearest to 2/7? (a) -3 (b) k (c) w
b
Let r be (-24 - -14) + (1 + 216)/7. Which is the nearest to -1? (a) r (b) -2 (c) -1.2 (d) 4
c
Let c = -4250 + 4238. What is the nearest to 2 in 2/11, -1/5, 3/5, c?
3/5
Let t = 2.28 - 6.28. Let n(s) = 9*s**3 - 1. Let p be n(-1). Let j be 0/(1 - p/(-5)). What is the nearest to 0.4 in j, 0.3, t?
0.3
Let n be 151/2265 - (-104)/(-210). Which is the nearest to 0.03? (a) 2 (b) 0.1 (c) n (d) -2
b
Let m = -27.6936 + 2.6936. What is the nearest to -2/11 in m, 2/7, -2/11?
-2/11
Let m be 0 - (-12)/(-4)*-1. Let l = 17.36 - -222.04. Let s = -239 + l. Which is the closest to 0? (a) m (b) 0.09 (c) s
b
Let j = 0.1169 + -0.1169. Let g be ((-44)/(-8))/(2/20). Which is the nearest to g? (a) 0.1 (b) 2 (c) j
b
Let i = 0.5 + -1.5. Let n = 503 + -604.6. Let o = 102 + n. Which is the closest to -1/3? (a) i (b) o (c) -2
a
Let u = 25.2 - 24.46. Let z = 0.24 - u. Which is the closest to -1? (a) 3 (b) -3/5 (c) z
b
Let r = 289.74 + -289.79. Which is the closest to 0.11? (a) 20 (b) 5 (c) 0.1 (d) r
c
Let x be ((-16)/(-24))/(272/(-51)). What is the nearest to 3 in 0.04, 1/3, x?
1/3
Let h(m) = 2*m**2 - 2*m + 14. Let j be h(6). Let w = j + -94. Let p be (-2)/18 + w/(-6) + -3. Which is the nearest to -2/9? (a) p (b) -1/4 (c) -3/4
b
Suppose 66*y - 483 = -219. Which is the closest to -1068? (a) y (b) 1 (c) 5
b
Let k(o) = 31*o + 27*o - 46*o - 17. Let p be k(-9). Which is the nearest to p? (a) -5 (b) 1/5 (c) -2
a
Let x = 12.5 - 31. Let i = x + 10.4. Let j = -8.5 - i. Which is the closest to 2/5? (a) -1/5 (b) -1/6 (c) j
b
Let a = -2 - 2. Let m = 3193/3 - 1064. What is the closest to m in -5, 1, a?
1
Let m = -22 + 31. Let h = m - 10. Let l = -63 - -62.9. What is the closest to h in 4, -5, l?
l
Let q = 9.4 - -2.6. Suppose -2*t = -5*d - 1253, 0 = -d + 5*t - 89 - 180. Let i = d + 245. Which is the closest to -1/4? (a) i (b) 2 (c) q
b
Let j = 182 - 269. Let g = -437/5 - j. Which is the closest to 0? (a) 2 (b) g (c) 12/7
b
Let o = 19.442 + -14.442. Which is the nearest to -3/14? (a) -2/13 (b) -1/4 (c) o (d) -1
b
Let z = -1049/3120 + 3/1040. What is the nearest to -4 in z, -2, -2/33, 0?
-2
Let j = 11 + -16. Let l = -4.9 - j. Let u = -15/14 + 11/14. What is the nearest to l in 0.3, -3, u?
0.3
Let g = 22182 - 22185. Which is the closest to -0.1? (a) -0.329 (b) 5 (c) g
a
Let o = 352 + -353. Let x = -3 - -19. Let n = -16.4 + x. Which is the nearest to 0.2? (a) -0.3 (b) n (c) o
a
Let d = 12.05 + -12.53. What is the closest to 3/2 in -5, -0.3, d?
-0.3
Let z = -32.421 - -31.921. Which is the closest to 0.1? (a) z (b) -1/5 (c) 2/47 (d) 0
c
Let n = 0.2113 + -3.2113. Which is the nearest to 2/3? (a) n (b) -1/2 (c) -19
b
Let o = -107 + 323/3. Let j = -13 - -13. Let g = -12 + 15. Which is the closest to o? (a) 0.3 (b) j (c) g
a
Let k = -3 - -5. Let q = -107.1 - -107.6. What is the closest to 2 in 25, k, q?
k
Let p be -1 + (-1)/(-6)*2. Let w = -625.68 - -1.68. Let g = w - -623.8. Which is the nearest to p? (a) -5/4 (b) g (c) -0.3
c
Let f = 308.4 - 244.4. Which is the closest to f? (a) -0.11 (b) 0.2 (c) -0.5
b
Let j be 18/12 + 5 - (-42)/(-6). Let i be (-6)/27 + 7/18. Which is the closest to j? (a) 3 (b) i (c) 1/5
b
Let o be (-44)/154*(0 - (-28)/(-92)). What is the nearest to o in 0.2, -4, 2, -1/4?
0.2
Let v = 10.8 + 664.2. Let w = v - 677.936. Let r = -0.064 + w. Which is the closest to -6? (a) -4 (b) r (c) -5
c
Let a be (-1)/(-4) - 12/48. Let p(u) = u**3 + 6*u**2 - 9*u - 53. Let m be p(-6). Let c = 9 - 3. What is the closest to m in -0.2, c, a?
a
Let v(b) = -3837*b - 42212. Let c be v(-11). Let a be (6/13)/3 - 0. What is the closest to 1/2 in 0.05, a, c, 0.15?
a
Let u be 2/4*(15 - 15). Suppose 5*i - q - 2*q - 8 = u, 3*i + 2*q - 1 = 0. Let x be 3*-1*i/15. Which is the closest to 0? (a) 4 (b) 1 (c) x
c
Suppose 0 = -5*v + 9 + 11. Suppose -v*x + 4*s = 0, -5*x - 5*s + 0*s + 20 = 0. Let q = -11.5 + 11. Which is the closest to 0.1? (a) x (b) q (c) -1/8
c
Let v = -478 + 476. Let l = 217/30 - 37/5. What is the closest to 1 in v, l, 0.02?
0.02
Let r = -24853/5 + 4971. Which is the nearest to 35? (a) 3 (b) r (c) 6 (d) -5
c
Let q = -287 - -2869/10. Let f = 35 - 47. Which is the closest to 3? (a) -5 (b) 0 (c) q (d) f
b
Let r = 16326 - 16327. Which is the closest to -1? (a) 10/57 (b) -2/15 (c) r
c
Let w = 8 - 4. Let o be ((-60)/(-9))/((-17)/9639). Let s be (8/(-18))/2 + (-1650)/o. What is the nearest to s in -2/13, -0.3, w?
-2/13
Let z be 66/78 - 1 - 585/(-507). Which is the closest to -0.26? (a) -1/7 (b) z (c) 0.43
a
Let v = -19637 - -19639. Suppose 2*u - 1 + 5 = -2*m, -2*m + 5 = -u. What is the closest to 0 in m, v, 1/11?
1/11
Let t = 330784/9 + -36754. What is the closest to 1 in 11, 53, t?
t
Suppose 636*h - 640*h = -16. Let j = -19 - -34. What is the nearest to 1/4 in j, h, -2?
-2
Let t(n) = n**2 - 8*n - 11. Let y be t(-5). Suppose -1 = 5*l + 4. Let f be (((-3)/5)/l)/(y/(-135)). Which is the closest to f? (a) -1 (b) 4 (c) 2
a
Let l = -90619/16 - -1585233/304. Let g be (1 + 1335/12)*-4. Let w = g - l. What is the nearest to -2/7 in -5, w, -0.3?
-0.3
Let t be 18/150*(-390)/(-52). Which is the nearest to 1/3? (a) 5 (b) 2/9 (c) -0.4 (d) t
b
Let i = -20.41 + 20.81. Let h be (-64)/(-11) + 4/22. Let n be 9/(-10) - h/(-15). What is the nearest to -1/5 in i, 2, n?
n
Suppose -59 = -270*q - 452 - 417. Let k = -2 - 2. What is the closest to -3 in 0, q, k?
q
Let w = -62.5 + 61.5. Let s(t) = 2*t - 14. Let q be s(9). Which is the closest to w? (a) -1/6 (b) q (c) 5
a
Let n = -112 - -46. Let v = -0.007 + -0.993. What is the closest to v in 1/2, -3/7, n?
-3/7
Let i = 1 + -0.9. Let y = 1655 + -1656.678. Let x = -0.322 + y. What is the nearest to 1 in i, x, -0.5?
i
Let f = -445 + 445. Let o = -28 - -30. Which is the nearest to 54? (a) f (b) 1 (c) o
c
Let d = -45007/9 - -5001. Which is the closest to d? (a) 0 (b) 1/3 (c) 145
b
Suppose -5*g = 5*c, 0*g - 2*c = -2*g. Let u be (-3)/(-2)*22/(-33). What is the closest to g in -6, 5, u?
u
Let u = 0.07565 + 0.04435. What is the closest to -1 in -1, 5, 3, u?
-1
Let r = -31959 + 31958.6. Which is the closest to -5? (a) -1 (b) r (c) -0.128
a
Let m = -3054 + 3050. What is the closest to 2/9 in -5, m, -0.11?
-0.11
Let f(o) = 4*o - 11. Let w be f(3). Which is the nearest to 0? (a) -1/9 (b) w (c) -19
a
Let h = -0.757 + 5.757. Which is the nearest to 1? (a) -0.03 (b) h (c) -0.2 (d) -5
a
Let k = -2.5 - -7.5. What is the nearest to 0.15 in k, -1, -13?
-1
Let f = -0.09 + 1.69. Let x = f + 37.3. Let q = 39 - x. Which is the nearest to q? (a) -1/3 (b) -3 (c) -0.1
c
Let j = -29523 + 29523.05. What is the closest to -1 in 2, 9.8, j, -0.4?
-0.4
Let n = -7.835 - -7.905. Which is the nearest to -2/3? (a) -11 (b) n (c) 0.4 (d) 0.2
b
Let m = -2.117 - -2.117. What is the nearest to 4 in m, 0.02, -5?
0.02
Let c = -4 - -4.4. Suppose -11*t + 16*t = -100. Let z be 4 + (-44)/t*-2. What is the closest to 1 in z, c, 0?
c
Suppose 95*l = -47*l + 124 + 18. Which is the nearest to 5? (a) 21 (b) l (c) 2
c
Let x = 8 - 235. Let i = 231 + x. Let h = 99 - 692/7. Which is the closest to 0.1? (a) h (b) i (c) 1/5
a
Let v = 0.23713 - -3.76287. What is the closest to 1/19 in 1, 2/9, v, 5/4?
2/9
Let c be ((-1)/(-8))/(-1 + 0). Let g = 0.033 + -5.033. Let v = -13 + 12.6. What is the nearest to c in -2, v, g?
v
Let g = -0.43 + -0.85. Let j = g + -0.02. Let t = j + 1.2. Which is the nearest to 1? (a) t (b) 5/4 (c) 0
b
Let k = 81.89 - 81.69. Which is the nearest to k? (a) 2/3 (b) -63 (c) -2/9 (d) -1
c
Let m = -16633/4 + | {
"pile_set_name": "DM Mathematics"
} |
v. List the prime factors of d/(-8)*(-2 + 6).
13
Let h(b) = 2*b**3 - 5*b**2 + 3*b + 3. List the prime factors of h(3).
3, 7
Let h = 5 - -12. Let m = -8 + h. Suppose m = 4*b - 47. List the prime factors of b.
2, 7
Suppose 5*d - 30 = -o, 3 = -d + 4*d. What are the prime factors of o?
5
Let p be (-28)/(-6) - 1/(-3). Suppose 3*a - 2*a + p*j = 39, 83 = 3*a - 2*j. What are the prime factors of a?
29
Let t be -58*((-6)/4 + 1). Let f be ((-12)/(-14))/((-4)/84). Let i = f + t. List the prime factors of i.
11
Let i = 23 - 12. List the prime factors of 3 - (0 - (-3 + i)).
11
Let o be 8*(3 + 3/(-2)). List the prime factors of o + (-3 + 2 - 2).
3
Let w = -26 - -37. What are the prime factors of w?
11
Suppose v - 2*t - 57 = -0*t, 0 = 5*v - 4*t - 303. List the prime factors of v.
3, 7
Suppose 4*u + 609 - 1773 = 3*i, -5*u = 2*i - 1432. Let a be u/11 - (-4)/(-22). Let x = -14 + a. What are the prime factors of x?
2, 3
Let r(o) = o**3 + 20*o**2 - 51*o + 34. What are the prime factors of r(-22)?
2, 47
Suppose 0 = 5*h - 7 - 3. Suppose 0*r = -2*b + h*r + 40, -2*b + 25 = 3*r. Suppose 3*d = -12, d - b = -2*i + 7. List the prime factors of i.
2, 7
Let o(q) = 2*q**2 - 3*q + 2. Let p be o(-4). Suppose -p = -5*v - 1. Let f(x) = -x**3 + 10*x**2 - 9*x + 6. What are the prime factors of f(v)?
2, 3
Let a(j) = 10*j. What are the prime factors of a(4)?
2, 5
What are the prime factors of 1422/27*(-6)/(-4)?
79
Suppose 0 + 8 = m. List the prime factors of m.
2
Suppose -12 = -2*c - 0*l + 4*l, -8 = 4*l. Let r be (c - 8)*(-5 + -1). Let h = r - 26. What are the prime factors of h?
2, 5
Let u be (0 - -6) + -10 + 7. Let c(o) = 2*o. List the prime factors of c(u).
2, 3
Let w = -4 + 1. Let n(y) = y**2 + 5*y + 3. Let r be n(w). Let g = 6 - r. What are the prime factors of g?
3
Let r = 11 - 8. Suppose r*w = -0*h + 5*h + 37, -5*w + 5*h = -65. List the prime factors of w.
2, 7
Suppose 0*c + 8 = -4*c. Let p(g) = -g**3 - g**2 - 2. Let r be p(c). Suppose -r*k = -2*b + 18, k - 5 = b - 2*b. What are the prime factors of b?
7
Let j = -74 - -160. List the prime factors of j.
2, 43
Let c = -5 + 13. List the prime factors of c.
2
Let z = 30 + -21. Suppose z*k - 140 = 5*k. List the prime factors of k.
5, 7
Suppose 5 = -y, -y + 0 + 1 = c. Let q = 15 - c. What are the prime factors of q?
3
Suppose 2*o + 0*o - 22 = 0. Suppose -5*f = -o - 29. What are the prime factors of f?
2
Suppose -6*o + 27 = -3*o - 2*i, 0 = 2*i. Let x(m) = m**3 - 8*m**2 - 6*m - 9. List the prime factors of x(o).
2, 3
Suppose -3*w = -2*j - 2, -5*w + j + 25 = 2*j. List the prime factors of (14/w - -2)*2.
11
Suppose -4*x - 2*s = -3*x - 212, -620 = -3*x + 2*s. Suppose 0 = 4*o + o - 15, 3*o - 21 = -2*g. What are the prime factors of (-2)/g + x/12?
17
Suppose 0 = 3*b + m - 208 + 9, -4*b - 4*m + 268 = 0. What are the prime factors of b?
2, 3, 11
Let v be 2/9 - 20/9. List the prime factors of 1/v + (-63)/(-18).
3
Let j(g) = 82*g - 10. List the prime factors of j(2).
2, 7, 11
Suppose 0 = -2*b - b + 126. List the prime factors of b.
2, 3, 7
Suppose -4 = 2*u - 0. Let b(g) = -g - 2. Let a be b(u). Suppose -3*h = -f - h + 15, f - h - 17 = a. List the prime factors of f.
19
Let u(o) = -13*o - 93. List the prime factors of u(-27).
2, 3, 43
Let s(b) = -4*b - 17. Let d be s(10). List the prime factors of 1/(1 + d/58).
2, 29
Let t be 1/(1 + -1 + -1). Let p = t - -1. Suppose -3*a + 3 + 9 = p. What are the prime factors of a?
2
Suppose 0 = 5*c - 9*c - 24. Let z(q) = -5*q - 1. Let u be z(-3). Let y = u + c. List the prime factors of y.
2
Let v be -2 - -3 - (-1 - 0). Let c(y) = -y**2 + 7*y + 8. Let q be c(8). Suppose -v*l + 4*m + 12 = q, 0 = l + 2*l - 4*m - 22. List the prime factors of l.
2, 5
Suppose 5*r + 40 = 3*t + 2*t, t - 23 = 4*r. What are the prime factors of t?
3
Suppose -4*l + 6 = -2. Suppose -l*m = 2*i - 36, -m - 19 - 19 = -3*i. List the prime factors of 1*1/2*i.
7
Let b(c) = c**3 - 11*c**2 - 2*c - 3. Let s be b(11). What are the prime factors of (-6)/(-8) + s/(-20)?
2
Suppose w - b + 0 = 1, 4*b + 12 = -4*w. Let j be -2*3/(-6) - w. Suppose 0 = j*v + 8, 2*r - 5*v - 70 = -3*r. List the prime factors of r.
2, 5
Let y(h) = h**2 + h + 2. Let b be y(0). Let s(u) = -4 + 1 + 4 - 5*u + 2*u**b. List the prime factors of s(4).
13
Let r(w) = w**3 + 13*w**2 + 10*w - 11. Let v be (-9 - -7) + (-10 - 0). What are the prime factors of r(v)?
13
Let l(m) = -m - 3. Let q = -1 - 6. List the prime factors of l(q).
2
Let j(k) be the second derivative of -k**5/4 + k**4/12 + k**3/6 - k**2 + 3*k. Let g be j(-2). What are the prime factors of (18/(-15))/((-6)/g)?
2
Let a = -158 - -161. What are the prime factors of a?
3
Let u(a) = 3*a**2 + 2*a - 4*a**2 + 9*a**2 - 1. Let m be 2/9 + (-21)/(-27). List the prime factors of u(m).
3
What are the prime factors of -12*(-1)/((-4)/(-6))?
2, 3
Let h be -5 + 7 + (-24)/(-2). Let u = 4 + h. What are the prime factors of u?
2, 3
Let x(b) = -4*b - 24. Let i(u) = -5*u**2 - 3*u - 3. Let m be i(-2). List the prime factors of x(m).
2, 11
Suppose f = 4*f + 5*t - 380, 3*t = -2*f + 254. List the prime factors of f.
2, 5, 13
Let q(m) = 12*m - 2. Let y be q(6). List the prime factors of y/(-3)*(-12)/10.
2, 7
Suppose -5*p - 25 = -10*p. What are the prime factors of p?
5
Let y be 0/((1 - 5)/2). Suppose 3*k + 48 = 4*s - y*s, -s + 7 = -2*k. What are the prime factors of s?
3, 5
Let l(i) = -i + 1. Let z = 2 - 3. Let g be l(z). Suppose 2*x - 20 = -g*a, 6 - 53 = -5*x - 2*a. List the prime factors of x.
3
Suppose -11*v - 44 + 1408 = 0. What are the prime factors of v?
2, 31
Let a = -18 + 15. Let t(k) = 3*k**2 - 4*k - 4. List the prime factors of t(a).
5, 7
Suppose 5*f + 2*k - 426 = 0, 0 = -f + 2*f - 3*k - 92. Suppose 0 = -4*q - 5*c + f, 2*c = -2*q + 4*c + 52. List the prime factors of q.
2, 3
Let y(n) be the first derivative of -n**4/4 + 7*n**3/3 - 7*n**2/2 + 6*n - 1. Let z be y(6). Suppose z*k - 15 = -5*k. What are the prime factors of k?
3
Let w(a) = -6*a - 2*a - 15 + 5. Let u be w(-9). Suppose 5*z - u = -17. What are the prime factors of z?
3
Let d = 9 + -5. Let f(c) = -c - 7. Let m(t) = -2*t - 13. Let n(a) = 11*f(a) - 6*m(a). What are the prime factors of n(d)?
5
Let u(h) = -h**2 + 5*h - 5. Let k be u(4). Let q = 3 - k. Suppose 35 = w + q*w. List the prime factors of w.
7
Suppose -v = -5*r - 20, r + 30 = -4*r + 3*v. List the prime factors of 13/r*-3*2.
2, 13
Let b(a) = 2 - 2*a + 5*a - 3. Let h be b(1). Suppose 0 = u - 5*t + 12 + 10, t = u + h. What are the prime factors of u?
3
Let t(y) = -y - 10. Let o be t(-5). Let w be (-2)/(-5) - 188/o. Suppose 0 = 4*r - r - 2*c - 36, -5*r = 4*c - w. List the prime factors of r.
2, 5
Suppose -2*o = -6, -4 = 2*c + 5*o - 23. Suppose -c*u = -3 - 3. What are the prime factors of u?
3
Let z = -29 + 79. List the prime factors of z.
2, 5
Suppose -p + 177 = l, -5*p + 885 = -l + 3*l. Let q = p - 252. List the prime factors of q/10*4/(-5).
2, 3
Let x(b) = -5*b - 12. Let i be x(-9). Suppose n - i = 46. Suppose -7 = 4*v - n. What are the prime factors of v?
2, 3
Let k(j) = 6*j - 13. List the prime factors of k(10).
47
Suppose 5*r = -2*g + 10, 3*g + 0*r + 2*r - 15 = 0. Suppose 308 = g*x - x. Suppose -2*i + 49 = 4*k - i, -5*k + x = -4*i. What are the prime factors of k?
13
Suppose -50 = -h - 5*n, h - 2*n = 8 + 7. What are the prime factors of h?
5
Suppose -2*o + 1 = -3*u - 1, 2*o + u = 10. Suppose -59 = -5*k - b, 3*b + 45 = o*k + 6*b. List the prime factors of k.
2, 3
Suppose -273 = 7*d - 0*d. Let w = d - -81. List the prime factors of w.
2, 3, 7
Let f(x) = 2*x**3 + 43*x**2 + 16*x - 2. List the prime factors of f(-21).
103
Suppose w - 2*f = 4*w - 25, 4*w + 3*f - 35 = 0. List the prime factors of w.
5
Let n = -35 - -19. Let g = n - -48. What are the prime factors of g?
2
Let a(v) = v**2 - 20*v + 46. List the prime factors of a(24).
2, 71
Suppose -4*v = r - 5*r - 620, 3 = r. List the prime factors of v.
2, 79
Let r = 10 - 14. Let w = 25 - r. List the prime factors of w.
29
Suppose 0 = 3*t - 3*a - 2*a - 304, 5*t = -5*a + 560. List the prime factors of t.
2, 3
Let y be (-3)/3 + 36 + 3. Suppose -2*x + y = 3*w, 10 + 16 = 2*w + x. What are the prime factors of w?
2, 7
Suppose -329 = -3*g + 2*k, 3*k = 2*k - 4. Suppose 2*o + 2*a - 66 = 0, 0*o = 3*o - a - g. Suppose 5*p = 10 + o. What are the prime factors of p?
3
Suppose -5*p = | {
"pile_set_name": "DM Mathematics"
} |
st integer?
33296
What is the seventh root of 895880867 to the nearest integer?
19
What is the ninth root of 603384482 to the nearest integer?
9
What is 1986967070 to the power of 1/3, to the nearest integer?
1257
What is 90403529 to the power of 1/2, to the nearest integer?
9508
What is the sixth root of 66517885 to the nearest integer?
20
What is the square root of 104116752 to the nearest integer?
10204
What is the third root of 3895993265 to the nearest integer?
1574
What is 71998501 to the power of 1/6, to the nearest integer?
20
What is the square root of 81830993 to the nearest integer?
9046
What is the seventh root of 123608394 to the nearest integer?
14
What is 4008202909 to the power of 1/9, to the nearest integer?
12
What is the tenth root of 22727153 to the nearest integer?
5
What is 359971916 to the power of 1/5, to the nearest integer?
51
What is the square root of 314558577 to the nearest integer?
17736
What is the square root of 588832770 to the nearest integer?
24266
What is the third root of 31283489 to the nearest integer?
315
What is 51396575 to the power of 1/6, to the nearest integer?
19
What is 424614214 to the power of 1/4, to the nearest integer?
144
What is the third root of 9267539 to the nearest integer?
210
What is the square root of 439624698 to the nearest integer?
20967
What is the third root of 60682586 to the nearest integer?
393
What is 313955719 to the power of 1/10, to the nearest integer?
7
What is the cube root of 525745147 to the nearest integer?
807
What is 66580792 to the power of 1/2, to the nearest integer?
8160
What is 888067534 to the power of 1/7, to the nearest integer?
19
What is the fifth root of 7297876531 to the nearest integer?
94
What is 884152527 to the power of 1/3, to the nearest integer?
960
What is the third root of 1208030068 to the nearest integer?
1065
What is 1203102972 to the power of 1/7, to the nearest integer?
20
What is 1611773703 to the power of 1/2, to the nearest integer?
40147
What is the cube root of 40354952 to the nearest integer?
343
What is 261913813 to the power of 1/5, to the nearest integer?
48
What is 564839879 to the power of 1/6, to the nearest integer?
29
What is 38042481 to the power of 1/2, to the nearest integer?
6168
What is 157671870 to the power of 1/6, to the nearest integer?
23
What is 167687762 to the power of 1/3, to the nearest integer?
551
What is the sixth root of 355281623 to the nearest integer?
27
What is the square root of 2107814539 to the nearest integer?
45911
What is the square root of 781030828 to the nearest integer?
27947
What is the third root of 243067635 to the nearest integer?
624
What is the third root of 3449049881 to the nearest integer?
1511
What is 142414538 to the power of 1/3, to the nearest integer?
522
What is 3910275983 to the power of 1/3, to the nearest integer?
1575
What is the square root of 405826226 to the nearest integer?
20145
What is 54439962 to the power of 1/3, to the nearest integer?
379
What is 345680340 to the power of 1/2, to the nearest integer?
18592
What is 2110260785 to the power of 1/3, to the nearest integer?
1283
What is the cube root of 67132614 to the nearest integer?
406
What is the ninth root of 3090112 to the nearest integer?
5
What is 109328174 to the power of 1/2, to the nearest integer?
10456
What is the third root of 114147459 to the nearest integer?
485
What is the third root of 20805960 to the nearest integer?
275
What is the tenth root of 1094849545 to the nearest integer?
8
What is 555052373 to the power of 1/7, to the nearest integer?
18
What is the cube root of 281606642 to the nearest integer?
655
What is the sixth root of 17232429 to the nearest integer?
16
What is 2506947127 to the power of 1/9, to the nearest integer?
11
What is the third root of 15172804 to the nearest integer?
248
What is the cube root of 1648172992 to the nearest integer?
1181
What is the square root of 233425605 to the nearest integer?
15278
What is the third root of 81415473 to the nearest integer?
433
What is the ninth root of 3875638227 to the nearest integer?
12
What is 54419513 to the power of 1/5, to the nearest integer?
35
What is 1353512 to the power of 1/3, to the nearest integer?
111
What is the cube root of 21887792 to the nearest integer?
280
What is the eighth root of 548684605 to the nearest integer?
12
What is 140409840 to the power of 1/4, to the nearest integer?
109
What is the square root of 14536767 to the nearest integer?
3813
What is the third root of 404223645 to the nearest integer?
739
What is the sixth root of 44766103 to the nearest integer?
19
What is the sixth root of 2215375737 to the nearest integer?
36
What is the square root of 351473938 to the nearest integer?
18748
What is 7025869 to the power of 1/2, to the nearest integer?
2651
What is 412919580 to the power of 1/2, to the nearest integer?
20320
What is the tenth root of 89984247 to the nearest integer?
6
What is 131328834 to the power of 1/6, to the nearest integer?
23
What is 276377390 to the power of 1/5, to the nearest integer?
49
What is 152143457 to the power of 1/2, to the nearest integer?
12335
What is the fifth root of 20367205 to the nearest integer?
29
What is 606351618 to the power of 1/9, to the nearest integer?
9
What is the seventh root of 818648098 to the nearest integer?
19
What is 90423369 to the power of 1/8, to the nearest integer?
10
What is the cube root of 485202524 to the nearest integer?
786
What is the third root of 288762921 to the nearest integer?
661
What is 618298113 to the power of 1/10, to the nearest integer?
8
What is the third root of 355974339 to the nearest integer?
709
What is 201506336 to the power of 1/4, to the nearest integer?
119
What is 873704333 to the power of 1/7, to the nearest integer?
19
What is 1710622676 to the power of 1/3, to the nearest integer?
1196
What is 808261659 to the power of 1/2, to the nearest integer?
28430
What is the cube root of 92692283 to the nearest integer?
453
What is 3492095776 to the power of 1/3, to the nearest integer?
1517
What is the square root of 303916314 to the nearest integer?
17433
What is 235779858 to the power of 1/3, to the nearest integer?
618
What is 195214058 to the power of 1/5, to the nearest integer?
46
What is the third root of 718309790 to the nearest integer?
896
What is the ninth root of 37973638 to the nearest integer?
7
What is the cube root of 1772350010 to the nearest integer?
1210
What is the square root of 2164817 to the nearest integer?
1471
What is 101769624 to the power of 1/2, to the nearest integer?
10088
What is the cube root of 4683900356 to the nearest integer?
1673
What is 517216428 to the power of 1/3, to the nearest integer?
803
What is 37715382 to the power of 1/8, to the nearest integer?
9
What is the square root of 176680885 to the nearest integer?
13292
What is the fourth root of 145732606 to the nearest integer?
110
What is 18549299 to the power of 1/4, to the nearest integer?
66
What is the eighth root of 526027976 to the nearest integer?
12
What is 96854585 to the power of 1/3, to the nearest integer?
459
What is 34553438 to the power of 1/2, to the nearest integer?
5878
What is 49201134 to the power of 1/3, to the nearest integer?
366
What is 1863021324 to the power of 1/7, to the nearest integer?
21
What is the square root of 35597428 to the nearest integer?
5966
What is 70650036 to the power of 1/2, to the nearest integer?
8405
What is the third root of 48108777 to the nearest integer?
364
What is 920491160 to the power of 1/6, to the nearest integer?
31
What is the cube root of 464879190 to the nearest integer?
775
What is 514470356 to the power of 1/2, to the nearest integer?
22682
What is 459981847 to the power of 1/9, to the nearest integer?
9
What is the eighth root of 79335374 to the nearest integer?
10
What is 101964362 to the power of 1/2, to the nearest integer?
10098
What is 162958469 to the power of 1/5, to the nearest integer?
44
What is the square root of 52546233 to the nearest integer?
7249
What is the tenth root of 69823051 to the nearest integer?
6
What is the square root of 581929300 to the nearest integer?
24123
What is 3115980245 to the power of 1/7, to the nearest integer?
23
Wh | {
"pile_set_name": "DM Mathematics"
} |
Let g(c) = -5*f(c) - k(c). What is the third derivative of g(y) wrt y?
-480*y**3
Let d(n) be the second derivative of -137*n**4/12 + 147*n**2/2 - 109*n. What is the first derivative of d(f) wrt f?
-274*f
Let f(x) = -x - 1. Suppose -38*c + 37*c = -23. Let d = c - 20. Let h(k) = 6*k + 13. Let r(w) = d*f(w) + h(w). Differentiate r(o) wrt o.
3
Let k = 266/3 - 88. Let j(z) be the third derivative of 0*z**4 + 1/24*z**6 + 0*z**5 + 5*z**2 + 0 - k*z**3 + 0*z. Differentiate j(v) wrt v.
15*v**2
Let a(d) = -223*d**2 + 7*d + 262. Let r(m) = 74*m**2 - 2*m - 88. Let l(j) = 2*a(j) + 7*r(j). Differentiate l(q) with respect to q.
144*q
Let m(n) = -11*n**4 + 5*n**3 - 118*n**2 - 6*n - 4. Let l(a) = -a**2 + a + 1. Let z(y) = 4*l(y) + m(y). What is the third derivative of z(d) wrt d?
-264*d + 30
What is the second derivative of 13*i**4 + 7*i**2 - 3*i + 430*i**3 - 5*i - 430*i**3 wrt i?
156*i**2 + 14
Differentiate -736 + 37*z**3 + z**4 - 35*z**3 - 41*z**3 + 4*z**4 wrt z.
20*z**3 - 117*z**2
Find the second derivative of -1 - 4 - 5*x - 5*x - 171*x**5 + 23*x**5 + 16*x wrt x.
-2960*x**3
Let v = 31 - 28. Suppose -4 + 1 = -q. What is the derivative of -q - v + t**3 - 8*t**3 wrt t?
-21*t**2
Let v = 34 - 10. Find the second derivative of 16*t**4 + 3*t**4 - v*t - 1 + 1 wrt t.
228*t**2
Let g(d) be the first derivative of 59*d**5/5 - 13*d**2/2 + 3*d - 90. Find the second derivative of g(z) wrt z.
708*z**2
Suppose -40 = 2*g - 6*g. Suppose g = -5*s + 30. What is the third derivative of 5*o**2 - 8*o**2 + 8*o**s + 4*o**2 wrt o?
192*o
Let b = 13 + 2. What is the second derivative of 4*i**2 - 15 - 23*i**2 - 8*i + b wrt i?
-38
Let p(c) = 17*c**2 + 20*c + 34*c**2 + 20 - 24*c + 18. Let b(h) = -h - 1. Let a(u) = 4*b(u) - p(u). What is the derivative of a(f) wrt f?
-102*f
Let d(q) = q**3 + 26*q**2 - 4*q - 101. Let i be d(-26). Let h(n) be the first derivative of 5/2*n**2 + i + 7*n. What is the first derivative of h(o) wrt o?
5
Suppose x = 3*x - 4. Suppose 3*m = -x*g + 7, 3*m = 2*m - 4*g - 11. Find the third derivative of 4*o**4 + 6 - m*o**2 - 6 wrt o.
96*o
Suppose 3*h - 6*h + 6 = 0. Find the third derivative of 12*f**2 + 2*f**h - 21*f**3 + 0*f**2 + 2*f**3 wrt f.
-114
Let r be 2696/30 - (-14)/105. What is the derivative of 2 + 5*n**4 + r*n**3 - 90*n**3 - 3*n**4 wrt n?
8*n**3
Let i(z) = z**3 - 2*z**2 - z. Let t be i(3). Let y be -2 + 12/(-4 + 7). Find the first derivative of 3 - y*d + t*d - 8 wrt d.
4
Let c(k) be the second derivative of 35*k**6/6 + 153*k**2/2 - 14*k - 5. What is the first derivative of c(d) wrt d?
700*d**3
Let j(f) = 609*f**4 - 5*f**2 + 7*f + 76. Let m(b) = -913*b**4 + 8*b**2 - 12*b - 114. Let d(n) = -8*j(n) - 5*m(n). Find the second derivative of d(s) wrt s.
-3684*s**2
Let s(x) be the second derivative of x**7/14 + x**5/10 + 61*x**3/3 + x - 71. Find the second derivative of s(z) wrt z.
60*z**3 + 12*z
Let h(v) be the third derivative of -v**6/4 - 17*v**5/60 + v**4/12 - 108*v**2. What is the third derivative of h(t) wrt t?
-180
Let n(o) = o**3 - 10*o**2 + 9*o + 1. Let j be n(9). Let k be 11 + -8 - (j + -1). What is the second derivative of 6*f - k*f**5 - f**5 + 12*f**5 wrt f?
160*f**3
Let w(n) = 95*n + 92. Let j(g) = -g + 3. Let b(r) = 2*j(r) - w(r). Differentiate b(a) with respect to a.
-97
Let o(b) = b + 3. Let r = -6 - -10. Let y be o(r). Find the third derivative of -k**4 - 4*k**4 + y*k**2 - 4*k**2 wrt k.
-120*k
Let c(m) be the second derivative of 163*m**6/30 - 39*m**4/2 - 294*m + 2. Find the third derivative of c(a) wrt a.
3912*a
Let l(x) be the second derivative of -103*x**5/20 - 5*x**4/12 + x**3/6 - 25*x - 3. Find the third derivative of l(w) wrt w.
-618
Let o(b) be the third derivative of b**9/168 + 2*b**5/15 - 2*b**3/3 + 5*b**2 - 9*b. Find the third derivative of o(q) wrt q.
360*q**3
What is the second derivative of 13*k - 6 - 19*k + 5 + 356*k**5 + 121*k wrt k?
7120*k**3
Let n = 0 + 3. What is the second derivative of 14*r - 7*r**3 + 16*r**n + r**3 + r**3 wrt r?
66*r
Let p(u) be the third derivative of 13*u**6/60 + 7*u**5/12 + u**2 + 5*u. Find the third derivative of p(f) wrt f.
156
Let h(z) be the first derivative of -23*z**5 - 68*z**3/3 + 55. Find the third derivative of h(a) wrt a.
-2760*a
Let y = 88 + -90. Let r(j) = -14*j**3 - 2*j**2 - 2*j - 18. Let g(b) = -14*b**3 - 3*b**2 - 3*b - 17. Let k(f) = y*g(f) + 3*r(f). Differentiate k(n) wrt n.
-42*n**2
Let h(w) be the first derivative of w**5/5 - 15*w**4/4 - 4*w**3/3 + 13*w - 57. Find the third derivative of h(q) wrt q.
24*q - 90
Let s(r) be the third derivative of 7*r**5/60 - r**4/12 + 139*r**3/6 + 112*r**2 - r. What is the derivative of s(f) wrt f?
14*f - 2
Differentiate 45*p**2 - 136 + 37*p**2 - 82*p**2 - 85*p**3 wrt p.
-255*p**2
Let m(g) be the second derivative of 0*g**2 - 7/3*g**4 + 0 - 17/20*g**5 + 0*g**3 - 7*g. What is the third derivative of m(c) wrt c?
-102
Let y(s) be the third derivative of -13*s**5/4 + s**4/24 + 27*s**3/2 - 2*s**2 - 8*s. What is the second derivative of y(z) wrt z?
-390
Let j = -4 + 6. What is the third derivative of 0*i**2 + 15*i**5 + i**j - 21*i**5 - 9*i**2 wrt i?
-360*i**2
Let m(z) be the first derivative of 0*z**5 - 1/3*z**3 + 0*z**4 + 0*z + z**6 + 0*z**2 + 10. Find the third derivative of m(j) wrt j.
360*j**2
Let b(m) = -9*m**4 + 9*m + 6. Let o(a) be the third derivative of a**7/210 + a**4/24 + a**3/6 - 40*a**2. Let h(z) = -2*b(z) + 18*o(z). Differentiate h(f) wrt f.
144*f**3
What is the third derivative of 876 - 876 + 6*d - d**4 - 3*d**2 - 19*d**5 + 0*d**4 wrt d?
-1140*d**2 - 24*d
Let f = 1543 - 1543. Let b(j) be the first derivative of 0*j**3 + 5/3*j**6 + 0*j**5 + 0*j - j**2 + f*j**4 + 2. What is the second derivative of b(q) wrt q?
200*q**3
Let u(m) = 18*m**3 + 5*m**2 - 7*m + 147. Let k(v) = -8*v**3 - 2*v**2 + 3*v - 74. Let h(n) = 14*k(n) + 6*u(n). What is the derivative of h(r) wrt r?
-12*r**2 + 4*r
Let j(t) be the first derivative of -436*t**7/7 + 47*t**3/3 - 2*t**2 + 86. What is the third derivative of j(z) wrt z?
-52320*z**3
Let q = 35 + -33. Find the second derivative of 3*t**2 + 3*t**q - 6*t**2 + 26*t - t**5 wrt t.
-20*t**3
Let j = -53 - -31. Let w = j - -24. What is the derivative of -6*f**2 + 7 - 4*f**w - 3 + 2*f**2 wrt f?
-16*f
Let n(i) be the second derivative of -i**6/5 - i**4/4 + 79*i**3/6 - 5*i + 2. What is the second derivative of n(f) wrt f?
-72*f**2 - 6
Let j(r) be the first derivative of -6*r**5/5 - r**4/2 - 64*r**2 - 214. What is the second derivative of j(i) wrt i?
-72*i**2 - 12*i
Suppose 4*g = 3*g + 42. Find the first derivative of -8*x**4 + 28 - g - 19*x**4 wrt x.
-108*x**3
Let n(z) = 1. Suppose r - 3*y + 3 = 0, -3*y - 2 - 4 = -4*r. Let l(c) = -c - 1. Suppose 5*q + 3 = 28. Let u(o) = q*n(o) + r*l(o). Differentiate u(d) wrt d.
-3
Let z be (-30)/(-12) + 2/4. What is the second derivative of -4*w - z*w - 4*w - 15*w**2 wrt w?
-30
Let t be (-6)/(-4)*(22/3 + -2). What is the third derivative of 2*a**5 - 1747 - t*a**3 + 1747 + 35*a**2 + a**5 wrt a?
180*a**2 - 48
What is the first derivative of 37 - 1 + 1 + 6*r wrt r?
6
Let w = 28 - 22. What is the second derivative of -b**5 + w*b**5 - 3*b**5 + 6*b**5 + 7*b wrt b?
160*b**3
Let y be (-4 + (-32)/(-4))*13. What is the derivative of -55 + 4*b - 8*b + y*b wrt b?
48
Let g(n) = -n - 5*n**2 + 2 - 3*n + 6*n**2. Let d be g(4). What is the derivative of a + d + 0 + 0 + 4*a wrt a?
5
Let t(x) = -19*x**2 + 2*x + 39. Let z = 7 + -28. Let a(d) = 189*d**2 - 21*d - 390. Let p(y) = z*t(y) - 2*a(y). What is the derivative of p(f) wrt f?
42*f
Let s(y) be the first derivative of 85*y**4/4 - y**3 - 300*y - 158. Find the first derivative of s(z) wrt z.
255*z**2 - 6*z
Let h be (-2)/5 - (-4)/((-80)/(-108)). What is the third derivative of 12*o**2 - h*o**5 + 18*o**5 + 3*o**2 wrt o?
780*o**2
Let o(k) be the first derivative of -331*k**6/6 - 146*k**3 + 461. What is the third derivative of o(m) wrt m?
-19860*m**2
Let n(t) be the first derivative of 67*t**6/6 - t**3/3 + 4*t**2 - 41. What is the third derivative of n(d) wrt d?
4020*d**2
Let y(a) be the second derivative of a**6/6 + 16*a**3 - a - 52. What is the second derivative of y(o) wrt o?
60*o**2
Let i(c) = -4*c**3 - 2*c**2 + c - 2. Let x be i(-2). Let v = 22 - x. Find the second derivative of 7*w**2 + 0*w + v*w**2 + 8*w + w wrt w.
18
Let z(c) be the second derivative of 95*c**4/12 - 1 | {
"pile_set_name": "DM Mathematics"
} |
Is f a prime number?
True
Suppose -85*n = -83*n - 46922. Is n a composite number?
True
Let o = -88 + 14. Let l = 78 + o. Suppose -l*g = c - 86 - 557, 1946 = 3*c - 5*g. Is c prime?
True
Suppose -5*f - 1 = 3*s - 8, 4*f = 3*s + 11. Suppose -f = 2*j, -3*k + 5*k - 30265 = -j. Is k composite?
True
Suppose 4*i - 54150 = -2*m, 5*m = -i - 3*i + 54153. Is i a composite number?
False
Let x = -248 + 258. Is (x + 5)/(-3) + (-2816)/(-2) a composite number?
True
Suppose -40*r + 24 = -32*r. Suppose 5*g + r*m - 27536 = 0, 3*g - 3*m = 2*g + 5518. Is g a composite number?
True
Suppose 0 = 12*i - 2283 + 11475. Is -11*i/(-1)*1/(-2) prime?
False
Let h = 143 - 135. Is 11814/h + ((-51)/(-12) - 4) a prime number?
False
Let l(n) = 343*n - 72. Let u be l(9). Let y = u - 1829. Is y a composite number?
True
Let b = -18869 - -42643. Is b a composite number?
True
Suppose 0 = -5*j - 5*i - 6266 + 31306, 2*j - 3*i = 10031. Suppose -7*p - 713 = -j. Is p prime?
False
Let j = 24830 - 41243. Is 6/((-54)/3)*j a composite number?
False
Let s = 39 + 25. Let k = s + -200. Is 103186/16 - (-17)/k a composite number?
False
Let l(h) = 88*h**2 + 259*h - 280. Is l(49) a composite number?
True
Suppose 0 = 10*c + 5 + 5. Let b(x) = -2330*x**3 + 2*x**2 + 2*x - 1. Is b(c) prime?
False
Let k be -38*(-2*1 - 7/(-7)). Suppose -5*w + 4*w + 5*n = -20, w = -4*n + k. Let x = w - -16. Is x composite?
True
Let q(z) = 5692*z**2 + 421*z - 9. Is q(4) a composite number?
True
Let j(b) = -37*b**2 - 3*b - 5. Let k(x) = -74*x**2 - 6*x - 9. Let g(z) = 7*j(z) - 4*k(z). Let u be g(3). Let h = 582 - u. Is h prime?
True
Suppose q - u + 3 = 0, 4*q + 0*u = -u - 2. Let a be (83 - -8) + (q - -5). Is 2/10 - (-100206)/a composite?
True
Suppose -772*w = -749*w + 1119577 - 15152682. Is w prime?
False
Let y(h) = 73*h**2 - 3*h + 2. Let k be y(1). Let i = k - 60. Suppose 0 = i*m - 1101 - 591. Is m composite?
True
Let u = -228 + 232. Suppose u*t = -5*g + 23149, 3*t - 3*g - 16093 - 1289 = 0. Is t composite?
False
Suppose -3*x - 2*m - 376 = 0, -7 = -5*m - 17. Let y = -129 - x. Is (-3765)/y*(2/(-3) - -1) a composite number?
False
Let u(v) be the first derivative of -5/2*v**2 - 5*v + 1/3*v**3 + 9 + 1/4*v**4. Is u(6) prime?
False
Suppose k = 2*z + 3*z - 162, 2*k = -z - 324. Let y be (-5 + 2 - k) + 2. Let r = 320 - y. Is r prime?
False
Suppose -187224653 = -28*w + 45*w - 94*w. Is w composite?
False
Let d be -1 + -58*(-244)/8. Suppose 5*t = 2*c + 2*t - d, 5*c = -t + 4437. Is c prime?
True
Let u(i) = 15*i**3 + 49*i**2 - 48*i + 5. Is u(21) a composite number?
False
Let b(j) = -j**3 - 9*j**2 - 8*j - 8. Let z be b(-8). Is z/4 + 4539 - -4 a prime number?
False
Let m(w) = -w**3 - 4*w**2 - 3*w + 3. Let i be m(-3). Suppose -4*h + 70 = -i*v, 2*v + h = -2*v - 125. Is (-6)/v - (2 - 5188/10) a prime number?
False
Let u(i) = 2*i**3 + 2*i**2 - i - 2. Let z be u(-1). Is z/(-3)*-1 - 3521490/(-315) prime?
False
Let p(l) = 6*l**3 + 7*l**2 - 189*l - 101. Is p(29) a composite number?
False
Let v(p) = -p**3 + 5*p**2 + 7*p + 21. Let w be v(7). Is (36827/w)/((-3)/36 - 0) a composite number?
True
Let t(d) = 2*d**3 + 36*d**2 - 93*d - 137. Is t(42) a composite number?
True
Suppose -4*c + 154 = -2*s + 3*s, 0 = -3*c. Suppose -l + 70 - 68 = 0. Suppose -4*n - 3*o + 308 = 0, 0*o - s = -l*n + o. Is n prime?
False
Let m(u) = 17882*u**2 + 209*u - 646. Is m(3) prime?
False
Suppose -4*c - m + 15001 = c, 3*m + 3013 = c. Suppose -17835 = -4*p + c. Is p a prime number?
True
Let g be (102 - 98)*(1 - 0). Is 29594 + 0*g/24 a composite number?
True
Suppose -2*f - 18 = -18. Suppose -8*d + 8 + f = 0. Is 331/4*(21 - d) + 2 a prime number?
True
Suppose 2677 = q - 1345. Suppose -5*d + q = 3*j - 10187, 2*d + 4*j = 5678. Is d a prime number?
True
Suppose 5*j + o = 291546, 69569 = 2*j - 5*o - 47044. Is j a composite number?
False
Suppose -25 = -4*u + 7. Let c(j) be the second derivative of j**5/20 + j**4/2 - j**3 - 13*j**2/2 + 2*j - 300. Is c(u) a composite number?
True
Let k(g) = 31*g - 11. Suppose -20 = -78*o + 73*o. Let b be k(o). Suppose -b = -5*u - 3*x, 2*u + 0*x = -2*x + 42. Is u prime?
False
Let s(q) = -186894*q - 51. Is s(-3) composite?
True
Let x be (-4321 - 74)*(-6)/5. Let c = 16583 + x. Is c a composite number?
True
Let a = 493 - 491. Suppose k + 4*w = 2095, -5*k = a*w - 5474 - 5019. Is k prime?
True
Let l be (-2)/(-3)*42/4. Suppose 6*a = 5*a + l. Suppose 3*b = a*b - 996. Is b a prime number?
False
Let q(r) = -281*r - 1. Let x be q(-1). Let h be 34/((-38)/(-11571)*21). Let g = h - x. Is g a composite number?
True
Let s(p) = p**3 - 3*p**2 - 10*p + 6. Let a be s(5). Let w(n) = 108*n**2 - 2*n + 31. Is w(a) composite?
False
Let o(v) = v**2 + 3*v + 3. Let q be o(-3). Let w(m) = -m + 8. Let s be w(8). Suppose q*n + 5*n - 4072 = s. Is n a composite number?
False
Let s(x) = 12*x**2 + 137*x - 863. Is s(104) a composite number?
False
Let x(z) = -z**3 - 4*z**2 - 2*z + 3. Let q(s) = -s**2 + 11*s - 22. Let w be q(9). Let c be x(w). Suppose 0 = -4*l + c*l - 357. Is l prime?
False
Suppose -8*g = -22 - 26. Is 17134/(g + -4) - 4 a prime number?
True
Let v(h) be the third derivative of -h**5/3 + 13*h**4/24 - 7*h**3/6 + 4*h**2. Let y(g) be the first derivative of v(g). Is y(-6) a composite number?
True
Let d be (-40)/(-16)*(-266)/(-35). Let p = 0 - -12. Suppose -1099 = -d*l + p*l. Is l a composite number?
False
Suppose -r - 5*x + 4 = -4*r, r - 5*x = -8. Suppose 3*j + 2513 = 4*g, r*g - 1357 = 4*j + 2007. Is (-4 - -1)*j/3 a composite number?
True
Let c(g) = 5*g**2 - 2*g - 1. Let m be c(-1). Is (207945/(-6))/5*(-4)/m composite?
False
Let f be ((-3)/1 - -4)*(34 - 0). Let d be 38/9 - (4 + f/(-9)). Suppose -4*y - d*s + 3124 = 0, 4*y - 4*s - 781 = 3*y. Is y prime?
False
Suppose -b - 98 = 3*m, 5*m - 5*b + 151 - 21 = 0. Let c = m - -41. Suppose -3*v + 545 = 2*k, -k - c + 5 = 0. Is v a prime number?
False
Let q(s) = -129674*s - 1911. Is q(-2) a composite number?
False
Suppose 4*c = 4*w + 783872, 49*w + 2 = 47*w. Is c a composite number?
False
Let b be (-15)/(-2)*(-84)/105. Suppose 7*h + 4*r - 28 = 4*h, 2*h - 3*r = -4. Is 3/(b/(-592)*h) composite?
True
Let j = 48 - 46. Suppose -5*t + 3*c = 6*c - 7418, j*c = -3*t + 4451. Is t a prime number?
True
Let u = 26832 - -3699. Is u a prime number?
False
Let o = -20 + 20. Suppose o = -12*y + 8*y + 12. Is (-2570)/(-2) + (-6)/y a composite number?
False
Suppose 15*q - 2*p + 2071840 = 19*q, q - 517963 = -p. Is q a composite number?
True
Suppose -1843*y + 1968*y = 109145875. Is y prime?
False
Let x(r) = -39*r + 40. Suppose 0 = -6*w - 3*w + 198. Suppose -54*a - w = -52*a. Is x(a) a prime number?
False
Let w = 3058 - 1224. Let a be (4 + -1)*(-3)/(-9)*w. Suppose 638 + 2113 = 3*r - 4*j, 2*j = 2*r - a. Is r a composite number?
True
Suppose 46*h - 137*h = 47*h - 42200814. Is h composite?
False
Let z(a) = 6*a + 8. Let r be z(-9). Let l = -50 - r. Is (-17062)/(-14) - l/14 a prime number?
False
Let w = 394954 + -262056. Is w a prime number?
False
Suppose -9*p - 2*o + 953980 - 373641 = 0, -3*p + 4*o = -193465. Is p a composite number?
False
Let i(z) = -73*z - 33. Let m be i(-9). Let l = 1059 - m. Let s = l - 212. Is s composite?
False
Let v = -403 + 317. Let y = 483 + v. Is y a composite number?
False
Let b(o) = 2662*o**3 - 12*o - 13. Let d be b(-1). Let l = 8755 - 4747. Let c = l + d. Is c prime?
False
Suppose -n - 36 = -5*h, -3*h = n + 2*n + 36. Let i be 3 + n/4*7/(-4). Suppose i = x - 52. Is x a prime number?
False
Is (-5045068)/(-42) - 4/(-12) composite?
False
Let q(l) = 26*l - 11. Suppose 4*w + 4*u = 24, 10*w - 2*u = 8*w. Suppose -k + 4*c = -23, 2*k + w*c = 4 + 20. Is q(k) composite?
False
Let f(v) be the first derivative of 10*v**3/3 + 6*v**2 + 27*v + 23. Is f(-10) a composite number?
False
Suppose -4*d = -24*b + 20*b - 1094184, 4*b - 820631 = -3*d. Is d composite?
True
Is 84/(-63)*(-1)/4 - (-165383964)/162 a composite number?
True
Suppose -f = -3*i + 2*i, -6 = 3*f - 5*i. Suppose f*s - 6357 = -3*a, 0 = -2*a - a + 12. Suppose -2298 = -3*m + s. Is m composite?
False
Suppose -5*a = 5*s + 14020, 2*s - s = 2*a - 2810. Let z = 658 + s. Let q = -1241 - z. Is q a composite number?
False
Suppose -4*n - 3*t = 16, 3*n - n - 3*t + 8 = 0. Let c be -3 + (4 + n - 2). Let b(x) = -16*x**3 - 6*x**2 + 4*x - 13. Is b(c) a prime number?
False
Let r = -1151 - -1637. Let b be ((-1 + 1)/(- | {
"pile_set_name": "DM Mathematics"
} |
Calculate the common denominator of i and (378/98 - 3)/(8/161).
16
What is the least common multiple of 20 and (-12)/32 - (-51)/8?
60
Calculate the common denominator of (-6)/(-51)*1 - (-2064)/(-7140) and -45/11.
385
Calculate the common denominator of (-6)/(-90) + 35/987 and 1/47.
235
What is the least common multiple of (-24)/42 + -7 + (-5896)/(-28) and 21?
609
Let r be -3 + (-8)/(-2)*385. Let m be (1 - 2) + (-9350)/(-6). Let x = m - r. Find the common denominator of x and -2/11.
33
What is the least common multiple of 2/(-1)*6/(-4) and (-7 + 2)/((-6)/(-6)*-1)?
15
Suppose 2*z + 3*n = 52, -2*z - 55*n = -56*n - 68. Suppose 3*k = 46 + 14. What is the least common multiple of k and z?
160
Let g = 11819/17 - 696. Find the common denominator of 35/3 and g.
51
Let l = 90 + -665/6. What is the common denominator of (-2)/32*(-3 + 72) and l?
48
Suppose k + 1 = -l + 13, -60 = -5*k - l. Let m = -9 + k. Suppose 0 = 3*i - v - 13, 21 = 3*i - 0*v - m*v. Calculate the least common multiple of i and 6.
6
Let j = 12 + -8. Let o = 12 + j. Suppose -4*n = -55 - 1. Calculate the smallest common multiple of o and n.
112
Suppose 0 = -5*i - 22 + 77. Let p(u) be the second derivative of u**5/20 + 5*u**4/12 + 3*u**2 + u. What is the smallest common multiple of p(-5) and i?
66
Let f be 3836/30 + 2/15. What is the least common multiple of 6 and f/20 + (-4)/10?
6
Let r be ((-4483072062512)/15624)/(8/(-6)). Let x = -215201249 + r. Let f = x - 10/217. Find the common denominator of -23/16 and f.
48
Let b = -75/8 - -181/8. Let d = -397 - -1202/3. Calculate the common denominator of d and b.
12
Find the common denominator of 41/60 and 8 + (-474)/120 + -2.
60
Let q = 58 - 17. Let u(f) = f**3 - 21*f**2 + 34*f + 45. Let w be u(19). Let c = w + q. Calculate the least common multiple of c and 2.
10
Let z(w) = -w - 8. Let r be z(-5). Let n be (-210031)/9*r/(-6). Let a = 11664 + n. Calculate the common denominator of a and -65/8.
72
Let c be (-272241)/(-42) - 4/(-2). Let d = c - 6481. What is the common denominator of d and (235/(-80))/(1/(-2))?
56
Let f(a) = -85*a - 135. Let h(s) = 5*s + 8. Let t(b) = 2*f(b) + 35*h(b). Let q be t(-8). Let u = q + 44. Calculate the least common multiple of u and 20.
140
Let a = -9750 + 2145041/220. Calculate the common denominator of a and -119/198.
1980
Let z(y) = y - 30. Let f be z(0). What is the common denominator of (5/f)/((-1)/3) and (-4 - -11)*3*15/10?
2
Let k = 0 - -6. Suppose -2*f = -k*f - 8484. Let c = 23346/11 + f. Find the common denominator of -70/3 and c.
33
Let f = 776 - 574. Calculate the lowest common multiple of f and 18.
1818
Let n = 11061681/14 - 789772. Let p = n + -349. Calculate the common denominator of p and (2/9)/(16/(-12)).
42
Suppose -3 = 2*r - 4*a + 3*a, -3*r + 5*a - 8 = 0. Let m = 9 + r. Calculate the least common multiple of 12 and m.
24
Let k = -418 + 458. Calculate the least common multiple of 88 and k.
440
Let y(r) = r**2 - 18*r + 31. Let a(w) be the first derivative of -w**4 - 4*w**3/3 - 2*w**2 - 2*w - 1. Calculate the lowest common multiple of y(17) and a(-2).
154
Let p(i) = i**3 - 5*i**2 - 5*i + 14. Suppose 0 = 5*z - 10, 0*z + 3*z + 18 = 4*x. Suppose 3*h - 42 = -0*h. Calculate the lowest common multiple of h and p(x).
140
Let q(k) = -k**2 + 7*k - 9. Let x be q(6). Calculate the lowest common multiple of (-6 - -3)/(x/16) and 2*(-7)/(-5)*5.
112
Suppose a = -a. Suppose d = p + 3*p - 33, a = p - d - 12. What is the lowest common multiple of 4 and p?
28
Suppose -42 = h + 5*q - 1, 183 = -5*h - 3*q. Calculate the common denominator of ((-2)/h)/((-11094)/2790 - -4) and 119/12.
132
Let o(l) = 33*l - 16. Let a be o(3). Let s = a - 72. Calculate the smallest common multiple of s and 50.
550
Let d = -3756 - -22609/6. Calculate the common denominator of d and -57/8.
24
What is the common denominator of (-121)/14 - (-37)/(703/152) and (286/(-35))/((-24)/(-10))?
42
Let f(k) = -k**3 - 2*k**2 - 2*k - 1. Let o be f(-4). Let h = -21 + o. Let n(s) = s**3 - 5*s**2 - 2*s - 18. What is the smallest common multiple of h and n(6)?
18
Suppose -2*a - 8 - 2 = -3*b, 0 = 5*b + 5*a - 50. Calculate the smallest common multiple of 2/18*b + 2/6 and (-108)/(-14) + (-2)/(-7).
8
Let w = -2/7813 + -789045/265642. Calculate the common denominator of 71/102 and w.
102
Let k = -53670419/260 + 206425. Calculate the common denominator of -53/78 and k.
780
Let k = 2970 - 29659/10. Let x(g) = -723*g + 13. Let t be x(-8). Let v = t + -115969/20. What is the common denominator of k and v?
20
Let n be 8278/10 + 8/40. Let t = n - 18199/22. Find the common denominator of t and 107/14.
154
Let s = -552419/37 - -14929. Let c = -20299528197/3946834030 + 2/10667119. Let m = c - s. Calculate the common denominator of -54/5 and m.
10
Let d = -81 + 151. Let i = d - 62. What is the lowest common multiple of 6 and i?
24
Let m = -2437 - -273. Calculate the common denominator of (-4)/(-56)*4 + m/(-168) and -97/30.
30
Let z = -13 + 16. Suppose -6*a + z*a = -42. Suppose 4*b - 5*c - 77 + a = 0, -b + 27 = c. Calculate the least common multiple of b and 14.
154
What is the common denominator of -21 + 19 - (-53)/20*2 and 13/4?
20
Suppose -444 = -4*o + 836. What is the smallest common multiple of 3 and o?
960
Suppose -2*v + 23 = -3*v + 4*y, -2*v = -5*y + 49. Let o = -26 - v. Calculate the least common multiple of o and 6.
6
Suppose 42 = 5*t + 112. Calculate the common denominator of t and -71/270.
270
Let r = -1027709/42 - -24467. Let a = -5659/8 + 711. Find the common denominator of a and r.
168
Find the common denominator of ((-75)/(-7))/(552/21) and 15/8.
184
Let q be 292/(-6) - (-2)/3. Let s = 32/31 + 2627/248. Calculate the common denominator of ((-2)/(-36))/((-12)/q) and s.
72
Suppose 35*i - 454 - 4866 = 0. What is the smallest common multiple of 114 and i?
456
Suppose -3*m = 15, 0*t + t - 1 = 2*m. What is the common denominator of (58/(-40))/(t/27*-2) and 101/8?
40
Suppose -5*d = 2*l - 32, -4*d + 28 - 7 = -3*l. Suppose 4*u = u + d. What is the lowest common multiple of u and 2/4 - (-7)/2?
4
Let o = 400/3 - 134. What is the common denominator of -76/9 and o?
9
Let m = 221/22 - 135/11. Find the common denominator of m and (-23 + -35)*(3/(-12) - 0).
22
Let b = -13/8 + -39/8. Find the common denominator of b and 73/3.
6
Suppose t + 4*k = 9*k - 4, -5*k = 5*t - 130. What is the lowest common multiple of 24 and t?
168
Let z(i) = 6*i**2 + 33*i + 10. What is the least common multiple of 77 and z(-6)?
308
Let q = 2825 + -2241. What is the lowest common multiple of q and 10?
2920
Let q = -2882363957/560 - -5147080. Let d = q - 4368569/1680. Let y = -2589 - d. Find the common denominator of -1/7 and y.
42
Suppose -3*r + 2*r = -16. Let x(b) = -3*b - 24. Let g = 32 + -46. Calculate the least common multiple of r and x(g).
144
Suppose -3*q - 4*s + 70 = 0, -q + 3*s + 27 = 8. What is the smallest common multiple of q and 14?
154
Let a = 211 - 1283/6. Calculate the common denominator of 2/(1/(33/(-20))) and a.
30
Let k(h) = 5*h**2 - h. Suppose 236 - 36 = 5*m. Suppose z - 6*z - 28 = -4*s, -3*s = z - m. Calculate the least common multiple of s and k(-1).
12
Suppose -17*z = 13*z - 780. Calculate the least common multiple of z and 78.
78
Let a(x) = -2*x - 36. Let k be a(-21). Find the common denominator of k/4 - 1 - (5 + 26) and 55/3.
6
Suppose 4*c + 4*m - 8 = 0, -7*c + 8*c - 3*m = 14. Suppose -t + 0*w = w - 6, 3*t = c*w - 22. Calculate the lowest common multiple of t and (11*(-2)/2)/(-1).
11
What is the common denominator of 43/48 and (-422)/(-44) - (4 - -1)?
528
Let u = 2 + 3. Let h(p) = -p**2 + 7*p + 1. What is the least common multiple of (3/(-6))/(-4*2/176) and h(u)?
11
Suppose 0 = -5*a + 4*u + 304, -a + 0*a = -5*u - 65. Suppose -4*x - 4 = 0, 3*t + 5*x = -11 + a. What is the smallest common multiple of t and 48?
144
Let q = 156 + -1094/7. Let y = 6/7 - q. Calculate the common denominator of 3385/850 + 0 + (-6)/(-51) and y.
70
Suppose 19*x - 21*x - 18 = -3*h, -h + 11 = x. Calculate the lowest common multiple of 6 and h.
24
Suppose c + 2 = -2*q, 3*c - 5*q + 0*q = 38. Suppose c*p + 2268 = 10*p. Calculate the common denominator of 55/3 and (p/18)/((-5)/(-2)).
15
Let z be (-554)/(-18) - 6/(-27). Suppose z*f - 37*f + 144 = 0. Calculate the least common multiple of 6 and f.
24
Let b = 4/132 | {
"pile_set_name": "DM Mathematics"
} |
e prime factors of 10197191?
1069, 9539
What are the prime factors of 1191696880?
2, 5, 11, 127, 10663
What are the prime factors of 853031633?
37, 23054909
What are the prime factors of 4223422607?
53, 257, 311, 997
What are the prime factors of 283891161?
3, 53, 79, 97, 233
List the prime factors of 663106376.
2, 23, 467, 7717
What are the prime factors of 246940382?
2, 13, 149, 63743
What are the prime factors of 571345?
5, 114269
What are the prime factors of 48047785?
5, 9609557
List the prime factors of 1388243130.
2, 3, 5, 46274771
List the prime factors of 13335089.
17, 107, 7331
What are the prime factors of 601784456?
2, 7, 13, 181, 4567
List the prime factors of 2415863860.
2, 5, 120793193
List the prime factors of 1888120241.
7, 10739, 25117
What are the prime factors of 53525162?
2, 37, 113, 173
List the prime factors of 7932299233.
41, 151, 1281263
List the prime factors of 180910936.
2, 73, 309779
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3, 1637, 203969
List the prime factors of 843757830.
2, 3, 5, 3125029
What are the prime factors of 7602115?
5, 1520423
What are the prime factors of 12371735?
5, 241, 10267
What are the prime factors of 64287812?
2, 17, 945409
List the prime factors of 699617305.
5, 3221, 43441
What are the prime factors of 536994302?
2, 13, 19, 41, 26513
What are the prime factors of 456343434?
2, 3, 43, 589591
List the prime factors of 1821974033.
11, 165634003
List the prime factors of 532694886.
2, 3, 31, 2863951
List the prime factors of 186359647.
2467, 75541
What are the prime factors of 312645120?
2, 3, 5, 40709
What are the prime factors of 53080085?
5, 10616017
List the prime factors of 224957905.
5, 193, 233117
List the prime factors of 92419177.
79, 691, 1693
What are the prime factors of 1987492131?
3, 19, 11622761
What are the prime factors of 1174057644?
2, 3, 307, 318691
What are the prime factors of 565958976?
2, 3, 11, 23, 61, 191
What are the prime factors of 271290510?
2, 3, 5, 953, 3163
List the prime factors of 174046251.
3, 19, 3053443
List the prime factors of 5420372393.
5420372393
What are the prime factors of 659317041?
3, 73257449
What are the prime factors of 37158773?
29, 71, 18047
What are the prime factors of 2634344199?
3, 292704911
List the prime factors of 81594953.
11, 37, 433, 463
What are the prime factors of 18341281?
7, 23, 113921
List the prime factors of 2122844530.
2, 5, 61, 3480073
What are the prime factors of 199689169?
79, 293, 8627
What are the prime factors of 452668875?
3, 5, 1207117
List the prime factors of 41256504.
2, 3, 573007
What are the prime factors of 36896196?
2, 3, 89, 179, 193
What are the prime factors of 157121683?
467, 509, 661
List the prime factors of 143043239.
3019, 47381
What are the prime factors of 300698846?
2, 7, 21478489
What are the prime factors of 5103957497?
821, 6216757
List the prime factors of 135681449.
135681449
List the prime factors of 629980711.
173, 3641507
What are the prime factors of 919532262?
2, 3, 11, 13932307
List the prime factors of 168242537.
168242537
What are the prime factors of 3160698880?
2, 5, 157, 983
What are the prime factors of 294217643?
294217643
What are the prime factors of 1193327803?
1193327803
List the prime factors of 405168395.
5, 17, 401, 11887
What are the prime factors of 279834757?
47, 197, 30223
What are the prime factors of 2716695572?
2, 163, 349, 11939
What are the prime factors of 705250452?
2, 3, 2749, 21379
List the prime factors of 45021776.
2, 499, 5639
List the prime factors of 158337214.
2, 7, 67, 168803
List the prime factors of 65964657.
3, 11, 131, 15259
What are the prime factors of 91900024?
2, 41, 280183
What are the prime factors of 451712276?
2, 3299, 34231
List the prime factors of 739012004.
2, 557, 331693
List the prime factors of 4910161.
17, 288833
List the prime factors of 466861108.
2, 7, 1361, 12251
List the prime factors of 101255897.
101255897
What are the prime factors of 27103546?
2, 97, 139709
What are the prime factors of 49366012?
2, 31, 398113
List the prime factors of 55547347.
17, 71, 46021
What are the prime factors of 35250887?
7, 5035841
List the prime factors of 52756396.
2, 7, 11, 157, 1091
What are the prime factors of 45439756?
2, 11359939
List the prime factors of 3407217833.
3407217833
List the prime factors of 1374755239.
11, 13, 37, 259829
List the prime factors of 50462137.
11, 17, 269851
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2, 3, 73, 194141
What are the prime factors of 20429089?
557, 36677
What are the prime factors of 1534510312?
2, 191813789
List the prime factors of 263575643.
71, 3712333
List the prime factors of 1010376558.
2, 3, 1223, 15299
List the prime factors of 128739354.
2, 3, 37, 579907
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3, 5168711
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2, 11, 192029
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5, 11, 127, 4133
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2, 3, 401, 58943
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2, 11, 277, 4327
What are the prime factors of 82976220?
2, 3, 5, 460979
What are the prime factors of 488980938?
2, 3, 81496823
What are the prime factors of 514179844?
2, 401, 320561
What are the prime factors of 1171462963?
11, 106496633
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7727, 80449
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1291, 257003
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2, 19701659
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2, 3847, 13399
What are the prime factors of 703831401?
3, 7, 13, 179, 4801
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3313, 11489
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5, 7, 6679, 13799
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19, 397, 177383
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2, 198940517
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2, 7, 57347611
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179, 1868287
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2, 17, 14105941
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2, 3, 5, 23, 33161
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2, 294793
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5, 7, 23, 193, 593
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2, 3, 13, 43, 1031, 2459
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2, 3, 21205879
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3, 7, 11, 349, 2207
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2, 5591, 34297
What are the prime factors of 540568391?
11, 191, 457, 563
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3, 5, 269, 7247
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2, 7, 62937731
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3, 11, 478747
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3, 5, 129061
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2, 3, 19, 157, 3361
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7, 23670551
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2, 5, 103, 56473
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157, 1389209
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7, 17, 607, 4603
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5, 71, 1181, 3919
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4337, 31393
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2, 716317531
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2, 5, 89, 2723909
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2, 5, 19, 67
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2, 3, 7, 618361
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7, 149839
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2, 41, 89, 10781
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2, 11, 23, 29, 3463
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406356889
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3, 109, 139, 991
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506289253
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2, 973157657
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23, 71, 39461
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2, 5, 7, 15233
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2, 3, 5, 2464937
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2, 19272283
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2, 3, 37, 1291, 9521
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2, 13, 2807177
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11, 2161, 157217
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29, 1259, 8677
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2, 3, 7, 61, 73, 317
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3, 5, 7, 1296137
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2, 397, 46819
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7, 47, 751, 1601
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2, 5, 13, 17, 167, 5711
What are the prime factors of 1541952364?
| {
"pile_set_name": "DM Mathematics"
} |
Solve 1 - 3 = -d*v for v.
1
Let w be (11 + -429)/(-11) + -6 + 1. Solve 0 = 5*v + 38 - w for v.
-1
Suppose 0 = 2*x - 3*l - 57 - 13, 2*x + 5*l - 70 = 0. Solve 30*t = x*t + 5 for t.
-1
Let w = 46 + -42. Suppose -w*c = m - 13, 4*m = 2*c - m + 21. Solve c = 2*u - u for u.
2
Let v(z) = -5*z + 49. Let m be v(18). Let s = 43 + m. Solve s*x - 5*x = 15 for x.
-5
Let r be -7 + (1 - 0)/1. Let v be (-1 - 1)/(4/r). Suppose 4*p - 10 = 2*n - 0*n, v*p - 35 = -4*n. Solve 7*x = 2*x + n for x.
1
Let t(l) = -l**3 - 6*l + 7 - 3*l**2 - l**2 - 4*l**2. Suppose -29*k + 28*k - 7 = 0. Let w be t(k). Solve w = -n - n + 10 for n.
5
Suppose 0 = 3*v - 2*v + 4*f - 24, f + 14 = v. Solve d + v = 12 for d.
-4
Suppose 31*m - 438 = -128. Solve 3*b - m = -2*b for b.
2
Let a(u) = -u**2 - 11*u - 15. Let t be a(-11). Let h = -11 - t. Solve -s + 15 = -h*s for s.
-5
Let d = -332 - -346. Solve 11 - d = -3*t for t.
1
Let h be (-7)/(((-1)/(-2))/((-1)/2)). Suppose 34 = 4*p - d + h, 4*p - 36 = 4*d. Solve p*r = r for r.
0
Let j(l) = l**2 - 3*l + 4. Let c be j(3). Let x = 8 - c. Suppose -8 - x = -4*n. Solve 1 = -2*u + n*u for u.
1
Let o = -1182 - -1182. Solve -9*s - 3 - 6 = o for s.
-1
Let n = 2080 - 2074. Solve 0 = -10*p + n + 4 for p.
1
Suppose 20*b - 35 = 15*b. Suppose -5*g = -b*g + 4. Solve 2*c + 8 = g for c.
-3
Let j(o) = -2*o + 6. Let s be j(4). Let x be 2 + 1 + (s - (-21 + -2)). Solve -3*c + x = 9 for c.
5
Let s be 0/(-1 + -3)*1. Let x(a) = -a**3 + a**2 - 2*a + 7. Let z be x(s). Let j(k) = 2*k - 1. Let n be j(z). Solve 5*f - n - 2 = 0 for f.
3
Suppose 8 = 34*s - 30*s. Suppose 5*b + 3 = 2*x, x + s*x = 3*b + 9. Solve 3*n + 8 + b = 0 for n.
-3
Suppose -844*k + 28 = -840*k. Solve k*y + 3 = -11 for y.
-2
Suppose -5*p + 6 = 3*f + 25, 0 = -f - 5*p - 23. Solve 5*d = 3 + f for d.
1
Suppose 0 = 2*o + 6*k - 7*k - 29, 0 = k - 5. Solve 61 + 7 = o*b for b.
4
Let q = 25 + -27. Let u be (q/(-4))/(4/32). Solve 22 - 6 = -u*n for n.
-4
Let i be ((-6)/36 + (-26)/(-12))*465/62. Let g(b) = -3*b**2 - b**3 + 0 + 2*b**3 + 4. Let k be g(3). Solve u + i = k*u for u.
5
Let u = 9 + -9. Let z = -275 - -281. Solve u = z*c - 3*c for c.
0
Suppose 0 = 5*g + 3*t, -5 + 27 = 4*g - 2*t. Let s(z) = -14*z - 125. Let r be s(-9). Solve 4*w = g*w + r for w.
1
Let g = 502 - 481. Solve -g*z + 3 = -24*z for z.
-1
Let x be 5 + 1 + 2 + -6. Suppose 0 = -x*q - 29 + 37. Solve -q*a + 22 = 6 for a.
4
Let s be 1*(-20 - (-1 + -2 + 4)). Let a be 2/4 - s/6. Solve 0 = -0*d - 2*d - a for d.
-2
Suppose 6*j = j - 3*z + 32, -3*z = -12. Suppose 2*n + 24 = j*s, 16 = 3*s - n - 0. Solve l + s = 5*l for l.
1
Let y be 0/(40/8) + 3*1. Suppose 2*q - 4 = y*u - 5*u, -5*u = 3*q - 4. Solve 0 = q*h - 5*h + 4 for h.
2
Let q be 97/4 + (-11)/(-44)*-1. Solve 102*g - q = 108*g for g.
-4
Suppose -7*x = -4 - 52. Let u be (-3)/9 + (-12)/(-9). Suppose -7 - u = -4*t. Solve 2 = t*h + x for h.
-3
Suppose 3*h - 2*o - 19 = 0, 0*h - 3*o = -h + 18. Let b = 10 - h. Suppose 3*f = b*f - 32. Solve 4*s - 20 + f = 0 for s.
3
Suppose 0 = 2*q - 3*x - 389 + 374, 2*q - 8 = -4*x. Solve -23 + 23 = q*u for u.
0
Let n = 12 + -7. Suppose -15 = -2*f - n. Suppose -f*y + 46 = 4*o, -4*y + 4*o = -o - 4. Solve -y*t = -t for t.
0
Let b(f) = f**3 + 16*f**2 + 32*f + 62. Let u be b(-14). Solve -u - 9 = -3*j for j.
5
Suppose -4*v + 6 = -5*j + 27, 0 = -2*j - 5*v - 18. Suppose 0 = -2*o - o + 3*r + 3, 5*o - 5 = -4*r. Solve -a + o = -j for a.
2
Let v(d) = 4*d**3 - 3*d**2 + 9*d + 8. Let t be v(2). Solve t = 5*q + 71 for q.
-5
Let b(h) = 2*h**2 + h - 5. Let u be b(2). Solve u*r + 20 = 5 for r.
-3
Let k(p) = p**3 - 8*p**2 + 8*p - 3. Let m be k(7). Solve 37 = -m*r + 45 for r.
2
Let m = 2858 + -2838. Solve -y - 4*y + m = 0 for y.
4
Let m(y) = y**3 - 10*y**2 + 2*y - 11. Let t be m(10). Let c = -5 + t. Suppose 3*j - c*p = 9, 0*j + 4*j - 12 = -p. Solve -j*k - 2 = 13 for k.
-5
Let b(g) = -4*g - 6. Let q(z) = z. Let p(i) = -b(i) - 3*q(i). Let m be p(-6). Solve m = -f - f for f.
0
Let o = 184 + -179. Suppose 0 = 3*z + 2*z + 10, 4*z + 16 = k. Solve c - k = o*c for c.
-2
Let k be 3 + (-3)/(3/(-5)). Suppose k*q + 230 = 18*q. Solve -3*p = 8 - q for p.
5
Let u be 1 + ((-1)/(-2))/(6/(-12)). Suppose u = 11*x - 16*x. Solve x = 7*f - 3*f + 12 for f.
-3
Let n = -10 + 13. Suppose -c + 16 = n*c. Solve c*k + 10 = -6 for k.
-4
Let f(u) = -u**3 + 51*u**2 - 186*u + 105. Let m be f(47). Solve 214 - m = 3*d for d.
5
Suppose -2*s = -4*w + 8, -5*w + 9 + 3 = -3*s. Solve -3*z + 11 + 1 = w for z.
4
Let j be (4/((-32)/(-30)))/((-15)/(-40)). Let n be 1 + (1 - 2) + 0. Solve n = 2*y + 4 - j for y.
3
Let h(b) = -33*b**2 - 4*b + 17*b**2 + 5 + 15*b**2. Let k be h(-4). Let y(l) = -l - 3. Let j be y(-6). Solve k*c - j = 2 for c.
1
Let t(r) = -r**3 + 5*r**2 - r - 3. Let n be t(4). Suppose 3*p - n*p - 18 = 0. Let u be 130/30 - 2/p. Solve -15 + u = 5*q for q.
-2
Suppose 0 = 8*i - 329 - 535. Let n = i + -101. Solve 4*f + n + 1 = 0 for f.
-2
Suppose -116 = -5*t + 4*o, 39*t - 3*o - 112 = 34*t. Solve 0 = 7*x + 8 + t for x.
-4
Let c = 58 - 55. Suppose 3 = -5*t - 4*z - c, -3*z - 4 = 4*t. Solve -2*k - t + 4 = 0 for k.
1
Let i = -4657 + 4665. Let o(d) = 2*d - 5. Let z be o(4). Solve i = -c - z*c for c.
-2
Let k be (5/4 - 1)/((-6)/(-288)). Solve -4*t - k*t + 32 = 0 for t.
2
Let o(f) be the second derivative of f**3/2 - 5*f**2/2 + 2*f. Let x be o(5). Let z be 2/x + (-38)/(-10). Solve z*s + 5 = -s for s.
-1
Suppose -48*z + 310 = 14*z. Solve y = -0 - z for y.
-5
Let m(p) = p**2 - 5*p - 13. Let u be m(7). Let g be (-1)/(((-18)/15)/u + 1). Solve 0*o - 20 = -g*o for o.
4
Suppose 8*u - 10*u = f + 3, 5*f + 2*u - 9 = 0. Solve 13*z + 62 + f = 0 for z.
-5
Let i(a) = 3*a**2 - 6*a - 2. Let d be i(5). Let j = -10 + d. Let c = j + -30. Solve n - 4 = -c*n for n.
1
Suppose t - 19 = -5*o, -o + 15*t - 14*t = -5. Solve -w = -o*w + 9 for w.
3
Suppose -5*k + 9 + 11 = 0. Let p = -172 + 175. Suppose p*x = -k*f + 6*x, -5*f = -5*x. Solve 0 = -f*c + 2*c - 4 for c.
2
Let c = -2 - -8. Suppose -c*r + 12 = -3*r. Solve -8*v + r*v = -16 for v.
4
Suppose -2*w - 7 = -3*w. Let h = w - 3. Suppose 4*v = 3*a - 2*a - 38, -a + 3*v + 36 = 0. Solve h*d + a = 10 for d.
-5
Let b be 9 + 8 + -1 + -7. Solve 136*v - 139*v - b = 0 for v.
-3
Suppose -f = -10*f - 675. Let r = f - -80. Solve -6 = -7*t + r*t for t.
3
Suppose -23*a = 19*a - 168. Solve 36 = -8*j - a for j.
-5
Suppose -36 = -4*q + 4*l, q + 2*l + 9 = -3*l. Let w be (15 - q)*(-2)/(-3). Let u(c) = c**2 - 6*c + 2. Let g be u(w). Solve 2*v = 2 + g for v.
2
Let z(i) = i**3 + i**2 + 79. Let y be z(0). Suppose 2 - y = -7*a. Solve 5 = -4*s - a for s.
-4
Let m be 16/6 + 8/(-12). Let n(w) = w**3 + 4*w**2 - 43*w - 7. Let y be n(5). Solve 5*g - m*g - y = 0 for g.
1
Suppose 0*x = x. Let k be (1 - (-270)/63) + 4/(-14). Solve k*t + 3 + 2 = x for t.
-1
Let l be ((-128)/(-12) - 11)/(2/(-36)). Solve 10 = l*w - w for w.
2
Suppose -8 + 18 = 3*s + 4*c, -2 = c. Solve -s*x = 29 - 11 for x.
-3
Suppose 0 = 2*h - 2 - 0. Let m be 0 - (h + 1 - 2)/(-2). Solve 2*l + m = 4 for l.
2
Suppose c + 123 = -3*j, -3*c - 2*j - 369 = -7*j. Let g = c + 86. Let o = g + 42. Solve 2*s + o - 3 = 0 for s.
-1
Let l be (93 + -107)/(1/(-3)). Solve 6*d + l = 20*d for d.
3
Let a be 1/(-8) + (-2988)/(-96) - -6. Solve 10*t = a*t - 27 for t.
1
Suppose a - 9*a = 32. Let h be (-4 - -15) + a - 3. Suppose 0 = -0*f - 3*f - 2*g + 4, -7 = -h*f - g. Solve -f*d - 3 = d for d.
-1
Suppose u = -2*u - w + 6, 2*u - w + 1 = 0. Let k be u - (4 - 2 - 3/1). Solve k*c - 6 = -c for c.
2
Let d = 79 + -74. Suppose -15 = -5*v - 0*n + d*n, 0 = 2*v - n - 10. Suppose -3*x + 36 = -3*p, 0*x + 4*x - 5*p - 48 = 0. Solve v*c - 3*c = -x for c.
-3
Let u be (-1120)/(-28) + (2 - 12). Solve u = 11*x - 3 for x.
3
Suppose -s - 256 + 265 = 0. Solve s = -4*m - 11 for m.
-5
Suppose 0 = c - 16 + 15, 2*c = 2*h - 164. Solve 0 = -h*g + 87*g + 8 for g.
-2
Let x be (51/(-6))/(1/2). Let s(u) = -u**3 + 7*u**2 + 3*u + 8. Let y be s(7). Let t = x + y. Solve -m + t = 2*m for m.
4
Let i be (8/28)/((-6)/(-63)). Solve -53 + i = -10*k for k.
5
Let h(q) = -q**2 - 22*q - 22. Suppose -g = -5*g + 8, -y - 4*g - 12 = 0. Let d be h(y). Solve 0 = -3*x + d - 3 for x.
5
Let k(x) = 17*x + 2. Let v be k(-1). Let q = v - -17. Solve 0 = -q*p + 6 + 2 for p.
4
Let x be (-4 - -6)/(2 - (-120)/(-63)). Solve 14 = -x*s - 28 for s.
-2
Let z be (4 - (-3 - (-7 + 4))) + -1. Le | {
"pile_set_name": "DM Mathematics"
} |
nearest 100.
4000
Let v = 0.38 - -70.62. Let d = 72.12 - v. What is d rounded to one decimal place?
1.1
Let c = 5.0548 - -0.1852. Round c to zero decimal places.
5
Let i = -1.1 + 2.4. Let f = 1.242245 - -0.057175. Let d = f - i. What is d rounded to four dps?
-0.0006
Let n = 524 - 593.8. What is n rounded to the nearest ten?
-70
Let y(o) be the third derivative of 23*o**6/40 - o**5/10 - 5*o**4/12 - o**3/2 - o**2. Let s = 53 + -42. Let t be y(s). Round t to the nearest 10000.
90000
Let s = -1.9261 - -25.8671. Let f = -24 + s. What is f rounded to 2 dps?
-0.06
Suppose 5*k = 31*k + 103220. Round k to the nearest 1000.
-4000
Let g = 10.7 + -12. Let s = -0.74 + -0.06. Let q = s - g. Round q to 1 decimal place.
0.5
Let a(v) = -v**3 + 8*v**2 - 12*v - 3. Suppose 2*q = -5*p + 10, 0*p - 2*p = -2*q + 24. Let f be a(q). Let j = -147 - f. What is j rounded to the nearest 10?
180
Let c = 219.66 - 38.76. Let b = c - 192. What is b rounded to 0 decimal places?
-11
Let k = 67 - 98. Let w = k + 31.007. Round w to two dps.
0.01
Let x = 670 - 161.5. What is x rounded to the nearest one hundred?
500
Suppose 0 = -3*c - 2*f - 16 - 22, -3*f = 12. Let b = c - -15. Suppose -6*i + 4 = -4*i, b*v + 4*i = -572. What is v rounded to the nearest 10?
-120
Let q = -71 - -66. Let d be (-95000)/((q - 1) + 5). What is d rounded to the nearest 10000?
100000
Let l = 25739.4248 + -25725. Let h = l + -14.104724. Let v = -0.32 + h. What is v rounded to five decimal places?
0.00008
Let o = -11339507.00064 - -11323096. Let p = o - -16405. Let m = 6 + p. What is m rounded to 4 decimal places?
-0.0006
Let u = -197984 + 197957.99996. Let y = -26 - u. What is y rounded to five dps?
0.00004
Let t = -57921230 - -35579230. What is t rounded to the nearest one million?
-22000000
Let m = 16400493.91825 - 119.91825. Let x = -16400374.15000017 + m. Let v = x - -0.15. What is v rounded to seven dps?
-0.0000002
Suppose 0 = 5*r - 20, -2*c + 4*r + 9 = 21. Let s be -3*c/6*-4. Let l be 40*4*(11871 + s). What is l rounded to the nearest 100000?
1900000
Let i = -9.456 - 0.494. Let b = i - -10. Let p = -0.0500064 + b. What is p rounded to six dps?
-0.000006
Let f = -35 - -34.57. Let q = -0.66 - f. What is q rounded to one decimal place?
-0.2
Let m = -280.21937 - -280.2. Round m to 3 decimal places.
-0.019
Let h be ((-6)/(4 + -6))/3. Suppose 0 = z + h - 4. Suppose z*i = r + 108, 3*r - 5*r = i - 29. Round i to the nearest 10.
40
Let o = -16.289997012 + 16.29. What is o rounded to six dps?
0.000003
Let n = -0.0428791107 + 0.04288. What is n rounded to 7 decimal places?
0.0000009
Let h(r) = r**3 - 7*r**2 - 5*r + 54. Let b be h(7). Round b to the nearest 10.
20
Let r(t) = 20*t**2 - 11. Let f be r(-9). Let a = 9932 - f. Suppose -3*n - 2477 = a. What is n rounded to the nearest 1000?
-4000
Let n = -39532082 + 78332082. Round n to the nearest 1000000.
39000000
Let h = 350.98 + -353. Round h to 1 dp.
-2
Let x = -35.056 - -0.056. Let s = 5 - x. Let j = -34.4 + s. Round j to the nearest integer.
6
Let j = -12.661 + 22.6604. Let d = -11.6 - -1.6. Let c = d + j. Round c to 4 dps.
-0.0006
Let n(f) = 31*f**3 + 6*f**2 - 5*f. Let j be n(4). Let k be (2/1 - 9/6)*j. What is k rounded to the nearest 100?
1000
Let o(i) = 56719*i**2 - 23*i + 22*i + 5 - 13. Let d be o(8). Round d to the nearest 1000000.
4000000
Suppose t = 5*t. Suppose 12 + 14 = 2*y + 2*d, -4*y + 3*d + 17 = t. Let u = -8 + y. Round u to 7 dps.
0
Suppose 0 = -4*h + f + 31852, h - 3572 - 4408 = -4*f. Round h to the nearest 100.
8000
Let k = -23.81 - -24. Let b = k - 0.69. What is b rounded to the nearest integer?
-1
Let r(l) = 15341*l**3 + 18*l**2 + 79*l - 10. Let h be r(-10). What is h rounded to the nearest 1000000?
-15000000
Suppose -118697923 = 11*y - 535597923. Round y to the nearest one million.
38000000
Let i = 146186107.5404003614 + -146186314.399. Let v = i - 0.1413900614. Let u = v + 207. What is u rounded to 6 decimal places?
0.00001
Let x be -747662*-18*(-1)/(-4). Let u = x - 1924479. What is u rounded to the nearest 100000?
1400000
Let z = 57.57 - -0.43. Let k = 57.999912 - z. Round k to 5 decimal places.
-0.00009
Let j = 184 + -184.00071. What is j rounded to four decimal places?
-0.0007
Let m = -0.013 + 0.0811. Round m to two dps.
0.07
Let b = -1.75813 - 120.44212. Let r = b - -121. Let v = r + 1.2. Round v to five dps.
-0.00025
Let a = -34 - -20.5. Let w = a + 2.5. Let j = w - -11.000009. Round j to five dps.
0.00001
Let p = -8.1 - -0.1. Let a = p + 8.00000004. What is a rounded to 7 dps?
0
Let u = -36.628 - -36.4. What is u rounded to two dps?
-0.23
Let a(b) = 3*b**3 - 12*b**2 - 10*b - 4*b**3 + 2*b**2 - 4 + b. Let f be a(-9). Let l be f/26 - (-3164)/(-52). Round l to the nearest ten.
-60
Let k = -51518705.5 - -759396.5. Let t = k - -50759269.000047. Let c = t + 40. Round c to 5 decimal places.
0.00005
Let z = 294708119 - 294707932.000083. Let o = z - 187. What is o rounded to five dps?
-0.00008
Suppose 0 = y - 5*y - 385468. Let d = y + -40633. What is d rounded to the nearest 10000?
-140000
Let z(y) = y**3 - 4*y**2 + 2*y - 5. Let h be z(4). Let f be 428/16 + h/12. Let u = f - -14. Round u to the nearest 10.
40
Let l = -1602 - -1602.000987. Round l to four decimal places.
0.001
Suppose 2*v = 6, 2*c = 145*v - 146*v + 55600003. Round c to the nearest 1000000.
28000000
Let b = 2221501512.00000035 - 2221501580. Let c = b - -68. What is c rounded to seven dps?
0.0000004
Let n = -57291.70314 + 3130731712.70314. Let m = 3130674404.39999859 - n. Let x = m + 16.6. What is x rounded to seven decimal places?
-0.0000014
Suppose -7*b - 18 = -13*b. Suppose -c + 5*x - 1860 = 3*c, 5*x + 1430 = -b*c. What is c rounded to the nearest 10?
-470
Let b(t) = -98470*t + 60. Let g be b(-2). What is g rounded to the nearest 100000?
200000
Let x = 18.21 - 0.21. Let u = x - 32. Let f = u - -14.00000036. Round f to seven decimal places.
0.0000004
Let r = 1590 - 7080. Round r to the nearest one hundred.
-5500
Let o = -8387 + 7915.7. What is o rounded to the nearest 10?
-470
Let c = 26529250 - -20970750. Round c to the nearest one million.
48000000
Let t(j) = -13239*j - 4. Let x be t(-4). Let q = 82768 - x. Suppose -14184 - q = 4*d. What is d rounded to the nearest 10000?
-10000
Let q = 0.199 - -115.801. Let k = 116.026 - q. Round k to two decimal places.
0.03
Let p = 0.00432173 + 0.68567137. Let d = 0.69 - p. Round d to six dps.
0.000007
Let c = 530.8 + 110.2. Let o = c + -640.97073. Let n = -0.029 + o. Round n to four decimal places.
0.0003
Let i be ((-14)/6)/(2/6). Let d = -3668 - -2568. Let v be (d/6)/(i/126). Round v to the nearest 1000.
3000
Suppose -8 - 970 = 3*i. Let z = i + 219. What is z rounded to the nearest 10?
-110
Let n = -113 + 110.945. Round n to one dp.
-2.1
Let d be 44*10/(-15)*45. Round d to the nearest one hundred.
-1300
Let s = 5.8 + 18.2. Let i = s + 47. Let j = i + -71.00049. Round j to four dps.
-0.0005
Let v = 41 + 4.5. Let h = v - 1.5. Let o = -44.000046 + h. Round o to 5 decimal places.
-0.00005
Let b be 39459891 + (-4)/3*3. Let g = b - 27759887. Round g to the nearest one million.
12000000
Let o = -0.0519 + 0.051577. Round o to 5 dps.
-0.00032
Let k = 4 - 43. Let n = -38.83 - k. Let v = 0.03 - n. What is v rounded to one decimal place?
-0.1
Let t = 296 - 525. Let l = 228.7091839661 + 0.2908281339. Let n = l + t. What is n rounded to 6 decimal places?
0.000012
Let n = 1.4 + 0.1. Let g = n + -2.9. Let z = g - -1.3986. Round z to 3 dps.
-0.001
Let v = 35.940226 - 35.6302. Let f = v - 0.31. What is f rounded to 5 dps?
0.00003
Let b(q) = q + 1. Let n be b(-1). Let h = n + 2. Suppose d - 3*w = 3290006, -4*w = -h*d + d + 3290008. What is d rounded to the nearest 100000?
3300000
Suppose 2*g - 5*g + 24 = 0. Let s(k) = 206250*k**2. Let m be s(g). What is m rounded to the nearest 1000000?
13000000
Let m = -174.3 + 174.31935. What is m rounded to three dps?
0.019
Let j = -316 - -1868. Let f = 1552.10096 - j. Let c = -0.1 + f. What is c rounded to four decimal places?
0.001
Let z(m) = -4277*m - 133. Let t be z(-9). What is t rounded to the nearest one thousand?
38000
Suppose -31*t = -23*t + 2520. Round t to the nearest one hundred.
-300
Let s = -1057.3 + 1056.8089. Let b = s - -0.49. Round b to 3 dps.
-0.001
Let n = 49 + -116. Let h = -65.346 + -0.534. Let b | {
"pile_set_name": "DM Mathematics"
} |
alue? (a) r (b) -0.4 (c) q
c
Let q(m) = -m**3 - 4*m**2 + 3*m - 7. Let r be q(-5). Let z be 1/7 + (-40)/770. What is the smallest value in z, 0.4, r?
z
Let n(y) = -y**3 + 2*y**2 + 5*y - 2. Let p be n(4). Let f be (-4)/p - 76/70. Which is the second smallest value? (a) f (b) -2 (c) -0.5
a
Let u be (12/(-10))/((-10)/(-300)). Let t be 1/2 + (-6)/u. Which is the second biggest value? (a) -5 (b) t (c) -0.05 (d) -3/8
c
Let l = -18.7 - -15. Let u = l + 3.5. Let o = -0.08 + -0.02. Which is the third biggest value? (a) -2/13 (b) o (c) u
c
Suppose 12*x = 6*x - 864. Let y be 10/(-5) + x/(-69). What is the third smallest value in -2/17, y, -4?
y
Let x be (-4)/(-10) + 20/350*-7. Which is the biggest value? (a) -4 (b) -28 (c) x
c
Let k = -21 - -22. Let s be (-82)/(-16) - k - 4. What is the third biggest value in -3, -0.3, s?
-3
Suppose 13*n = 21*n - 16. Let f = 7 - 3. Which is the second biggest value? (a) n (b) -0.3 (c) f
a
Let x = 77.7 + -82.7. What is the third biggest value in -4, 5, 0.1, x?
-4
Suppose 2*x - x = 4. Suppose -2*p = -5*h + 30, 0 = -2*p - 0*p - h - 18. Let z be (6/(-7))/(p/(-14)). Which is the third biggest value? (a) -0.1 (b) z (c) x
b
Let o = 2 - 3. Let g be ((-4)/(2*-2))/(-11)*o. What is the third smallest value in 2/13, 13, g?
13
Let u = -40.5 - -36.5. Which is the second biggest value? (a) -20 (b) -0.4 (c) u (d) -5
c
Let r = -4.55 - -1.54. Let i = -3 - r. Let k = -4354/9 - -484. Which is the third biggest value? (a) k (b) i (c) -4
c
Let z(o) = o**2 + 28*o + 20. Let g be z(-28). What is the third biggest value in g, -0.4, 2/9?
-0.4
Let f = 737 + -736.6. Which is the third smallest value? (a) -1 (b) 2 (c) -20 (d) f
d
Let m = 2210 - 28732/13. What is the third biggest value in -22, m, 1/7, 5?
m
Let b = -2.8 + 21.8. Let o = -23 + b. Let i = -10 - -9.5. What is the third smallest value in o, -0.3, i?
-0.3
Let x(v) = -v**2 + v + 126. Let k be x(0). Let h be (-190)/k - 12/(-54). Let z = 43/28 + h. Which is the biggest value? (a) -0.2 (b) -3 (c) z
c
Let y be 3/6*1*(-18)/15. What is the second smallest value in 0, -0.2, y?
-0.2
Let v = -0.37 + -14.63. Let a = v + 14.7. What is the second smallest value in a, 0, -0.1?
-0.1
Let d = -175 - -173. Let i = -0.02 - -0.02. What is the third smallest value in i, 1/4, -0.1, d?
i
Let t = -112 - -111.8. What is the second biggest value in t, -4, 0?
t
Suppose 3*a = -s + 6, -38*s + 40*s - 9 = -5*a. What is the third smallest value in a, 14/3, -0.4?
14/3
Let q = -4.8968 - 0.1032. Let a = 1 - -6. Let m = a - 5. What is the second smallest value in q, -3, m?
-3
Suppose -t + 512 = 5*o + t, 200 = 2*o + 2*t. Let n = 316/3 - o. What is the second smallest value in 9, -0.1, n?
n
Let k = -0.91 + 5.6. Let n = 0.31 + k. Let u = -0.34 + -0.06. Which is the second biggest value? (a) n (b) u (c) -5
b
Let h = -416.93 + 415. Let f = 0.07 - h. Which is the fourth biggest value? (a) -3 (b) f (c) 0.4 (d) 0.2
a
Let g be (-24)/70 - 276/4830. What is the third smallest value in 1, g, -1, -21?
g
Let g = 12 + -37/3. Let d be ((-8)/(-3) - 2)/2. Let v = 1 + -1. Which is the second biggest value? (a) v (b) g (c) d
a
Let l = -7.39 - -0.39. Let s = -7.1 - l. Which is the second biggest value? (a) 0.2 (b) s (c) -9/4
b
Let u = -22 + 17. Which is the fourth smallest value? (a) u (b) 24 (c) 0.2 (d) 1/2
b
Let u = -1850 + 1845. What is the biggest value in 0.2, -495, u?
0.2
Let i = 21666 - 4809781/222. Let t = -1/74 - i. What is the second biggest value in -2/3, t, -1/5, 5/3?
-1/5
Let q = 1103.3 + -1103. Which is the biggest value? (a) -0.3 (b) 0.0513 (c) q
c
Suppose 2*l = l - 5*x - 22, l + x + 2 = 0. Let u = -474.4 + 473.4. What is the third biggest value in 0.3, -0.3, l, u?
-0.3
Let s be (-423)/(-81) - (-6)/(-27). What is the third biggest value in 1, -1/3, s?
-1/3
Suppose 3*w + 3 = 6*w. Let s = 2.02 - 2.4. Let h = s - 1.62. Which is the second biggest value? (a) h (b) w (c) 0.2
c
Suppose -o + 6 = o. Suppose 0 = -0*y + o*y - 30. Suppose 8*p - 3*p + y = 0. Which is the third smallest value? (a) 5/2 (b) 1/4 (c) p
a
Let s be 64/((-24)/6) + -5. Let w = 3 + -1. Let j be w + (s/1)/3. What is the third smallest value in 1/6, j, -9?
1/6
Let x be (-12)/(-32) - (-6)/(-16). Let q = 4/7 + -1/14. What is the third smallest value in -1/5, x, q, 3?
q
Let z = 12.71 - 13.2. Let f = -4.49 - z. Which is the biggest value? (a) -0.2 (b) -9 (c) f
a
Let g = 0.4 + 1.6. Let f = 5 - g. Let z = -1139/6 - -190. What is the smallest value in 4/3, f, z?
z
Let r = -362.8 + 363. Which is the fourth smallest value? (a) -0.4 (b) -1 (c) 2 (d) r
c
Let u = 9.3 + -57.3. Let o = u - -51.1. What is the third biggest value in -1/7, -4, o, 0?
-1/7
Let v = -58.5 - -55.5. Let c = 6.3 - -0.7. What is the second biggest value in c, -0.4, v, -2/9?
-2/9
Let m be 2/(-4) + (-15)/(-2). Suppose 3*q = m + 8. Let f(l) = l**3 - 11*l**2 + 9*l + 9. Let p be f(10). Which is the smallest value? (a) p (b) q (c) 3/4
a
Let r = -1105 - -1105.05. What is the third smallest value in r, 22, 0?
22
Suppose 33*m = 332 - 200. Let y = -2/53 - 37/424. Which is the second smallest value? (a) y (b) 2/13 (c) m (d) 0
d
Let q = -234.8 + 235. Let k = -1224/13 + 94. Which is the second biggest value? (a) -5 (b) k (c) q
b
Let p = 353.1 - 353. Which is the third smallest value? (a) -2/15 (b) p (c) 0
b
Let l = 308.6 - 309. What is the third biggest value in l, 1/8, 0.73?
l
Let x = 0.293 + -5.553. Let j = 0.26 + x. Let f = -4 - j. What is the third biggest value in 4/7, 2, f?
4/7
Let p = -2.5 + 2.8. Which is the fourth smallest value? (a) -5 (b) p (c) -3 (d) -3/44
b
Let z = 580 + -585. Which is the third smallest value? (a) -3/2 (b) 0.6 (c) 21 (d) z
b
Let o be 21/(-36) + (-2)/(-8). What is the second smallest value in o, -16, -0.5?
-0.5
Let h = -22 - -23.9. Let k = -38.6 + 38.5. What is the second smallest value in -2, k, h?
k
Let p = -1.2 + 1.2. Let g = 1 - p. Let i = g + -0.2. Which is the smallest value? (a) i (b) 3 (c) 1
a
Let k = -112 - -445/4. Let x be (-4)/18 + (-901)/(-1908). Which is the fourth smallest value? (a) 0 (b) x (c) -0.4 (d) k
b
Suppose 10*b - 5*b - 22 = 3*m, -5*m - b - 18 = 0. Let l = -67 - -65. What is the fourth biggest value in 4, l, m, 1/9?
m
Let h = -1501 + 1489. What is the smallest value in h, -5/2, 1/9?
h
Let z be 4 + (-12 - -10) + (-24)/15. Let f = 0.23 + 0.07. Which is the third smallest value? (a) 5 (b) f (c) z
a
Let f = 1096 + -1101. Which is the smallest value? (a) 2/7 (b) f (c) 15/7
b
Let d = -5.4 - 3.6. Let m = d + 11. Which is the biggest value? (a) 5 (b) m (c) -1/11
a
Let g = -603 + 599. Let a be 0 - (-2*1)/14. What is the smallest value in g, a, 2/7?
g
Let c be 8/(-40) + (171/15)/(-3). Let j = -3 - -3.2. Let h = -0.4 - -0.1. What is the second biggest value in h, c, j?
h
Let n = 0.05 + -4.05. Let w = n - -3.5. Suppose i - 13 = 5*y - 5, -5*i = 4*y - 11. What is the third biggest value in -9, w, y?
-9
Let h = 0.2 + 0. Let l = h + 0.3. Let x = 1703 - 1702. What is the second smallest value in 0.4, l, x?
l
Let p = -18.4 + 18. Suppose -4*h - 20 = h. Let u = -0.6 - -0.8. Which is the smallest value? (a) h (b) p (c) u
a
Let n = -2 + -2. Suppose -24*d + 14 = -23*d. Let f be 200/(-455) - n/d. Which is the second biggest value? (a) 5/3 (b) f (c) 2/17
c
Let x = 0.926 - -0.074. Suppose 4*n - 16 = 0, 5*m - 17 = -5*n + 3. Let h be (-1 + m)*(-3 - 0). Which is the third biggest value? (a) h (b) -0.4 (c) x
b
Let n = 216 - 218. What is the third smallest value in -1/2, n, -51?
-1/2
Let t be (-1)/4 + (-29)/(-84). Suppose 2*g - 9*g = -2*g. Let x be 1 + g + (4 - 6 - 3). Which is the third smallest value? (a) t (b) 0.5 (c) x
b
Let k = -0.2 + 0.3. Let y = -1922 - -1920. What is the third smallest value in k, -1, y?
k
Let o = 13.13 - 14.53. Which is the fourth smallest value? (a) 3 (b) -5 (c) o (d) -0.04
a
Let r = 0.035 - 3.035. Let k = -3.2 - r. Which is the second biggest value? (a) -0.4 (b) -0.1 (c) k
c
Let i = 33 - 32.77. Let v = 0.13 - i. Let f = 7 + -6. Which is the second biggest value? (a) f (b) -3 (c) v
c
Let k = -0.0597 + 2.0597. What is the third biggest value in 0.4, k, 23?
0.4
Let l = -720 - -5757/8. Let j = -1 - -1.2. What is the second smallest value in 4, j, l?
j | {
"pile_set_name": "DM Mathematics"
} |
2 and give y.
-1
Express 8 - 15*u - 7 - 1 as l*u + x and give l.
-15
Rearrange (-5*a + 0*a + 2*a)*(-33 + 2*a**2 - 2*a + 33) to t + o*a + j*a**3 + p*a**2 and give j.
-6
Express 2 - 7*y + 15*y - 12*y + 0 - y**2 as p*y + l + d*y**2 and give l.
2
Express -25 + 32*a**2 + 57 - 32 in the form r + d*a + w*a**2 and give w.
32
Express -6 - 21*i**2 + 6 - 3*i**2 in the form u*i + o + s*i**2 and give s.
-24
Rearrange 5*y**3 - 5*y**3 + 0*y**2 - y**2 - 3*y**3 to t + z*y**3 + o*y**2 + l*y and give z.
-3
Rearrange (1 + 3*i - 1)*(-3*i + 4*i + 3*i) + (0*i + 2*i + 0*i)*(-2 + 2 - i) - 2*i**2 + i - i + 3*i**2 - 3*i**2 - i**2 to k*i + a*i**2 + t and give a.
7
Express -2 - 5*m**2 + 2*m**2 + m**2 + 2*m**3 + 2*m**4 + 0*m**4 in the form l*m**2 + h*m**4 + z*m**3 + i*m + x and give x.
-2
Rearrange -4 + 11*o - 1 + 5 to the form d*o + l and give d.
11
Express 6 + 7*l**4 - 6 - 2 - 10*l**4 - 3*l**3 as x + h*l**4 + c*l + u*l**2 + z*l**3 and give h.
-3
Rearrange (0 + 0 + 2)*(x + 3*x - 5*x)*(-2*x + 2*x - 2*x) + (4 - 4 - 2*x)*(x - 3*x + 0*x) to n*x**2 + m*x + u and give n.
8
Rearrange (49*f - 21*f - 10*f)*(-f + f + 2*f)*(-3 - 1 - 5) to y*f**2 + o*f + r and give y.
-324
Express -9*q**2 - 9*q**2 + 7*q**2 - 6*q**2 as s*q**2 + r*q + b and give s.
-17
Rearrange (4*a + 0*a - a)*(-1 + 5 + 2) + 1 - 2*a - 1 to the form f*a + d and give f.
16
Express 14 - 3*o**4 - 14 + (3*o**2 + 0*o**2 - 9*o**2)*(2*o - 4*o + o)*(4*o - 6*o + 5*o) in the form g*o**3 + c + z*o + w*o**4 + r*o**2 and give w.
15
Rearrange (-16 + 6 - 3)*(-2*t + 2*t + 2*t**3) to l*t + y*t**3 + z + i*t**2 and give y.
-26
Rearrange 5 - y + 10 - 4 - 6 to the form s*y + c and give s.
-1
Express (-m - 3 + 3)*(2 + 3 - 6)*(1 + 1 - 4)*(-12*m**2 + 8*m**2 + 9*m**2) as k*m + j*m**2 + g*m**3 + q and give j.
0
Express -18 - 23 + 41 - l in the form b*l + n and give b.
-1
Rearrange 0*q**4 - q + 0*q**4 - 4*q**4 + 11*q**3 + 6 - 8 to z*q**3 + p*q**4 + u + d*q + b*q**2 and give u.
-2
Express -2*y**3 + y**3 - y**4 - 2*y**2 - y**3 + 6*y**3 as s*y**2 + a*y + h*y**3 + g*y**4 + u and give h.
4
Express (-21*r - 1 - 23*r + 40*r)*(r**2 - 1 + 1) as s*r**3 + n*r + p + z*r**2 and give z.
-1
Rearrange 13*o + 23*o**3 + 12 + 2*o**4 - 25*o**3 - 11 to j*o**4 + r + k*o + d*o**2 + n*o**3 and give n.
-2
Express 6*h + 10*h - 11*h as t*h + y and give t.
5
Rearrange (-1 + 1 - x**2)*(2*x - 3*x + 1 - 23 + (-x + 5*x - 6*x)*(0 - 5 + 4))*(-4 + 2 + 3) to o*x**2 + z + y*x**3 + a*x and give z.
0
Express 15*v**2 - 7 + 5 + 2 as s*v + x + r*v**2 and give x.
0
Express r + r + r - 8*r as q*r + w and give q.
-5
Express 11*i**2 + 0*i**2 - 2*i**2 in the form l + k*i + t*i**2 and give k.
0
Express (2 - 4 - 1)*(3 - 4 + 3)*(32*r + 3*r**2 - 32*r) in the form g + p*r + j*r**2 and give j.
-18
Rearrange 37*k + 29*k + 10*k to the form o + c*k and give c.
76
Express 2*x**4 + 2 - 3*x**4 + 3*x**4 - 2*x - 4*x**2 in the form b + p*x**4 + t*x + m*x**3 + q*x**2 and give p.
2
Rearrange (-1 + 10 - 10 - 9*j)*(0*j**3 + j**3 + 0*j**3) to m*j**3 + z*j + p + v*j**2 + t*j**4 and give m.
-1
Rearrange -2*x - 7*x - 14*x + 0*x to m*x + o and give m.
-23
Express (4*c**3 - 2*c**3 - 3*c**3)*(3*c - 2*c - 3*c) + 4*c**4 + 2*c**4 - 3*c**4 as x*c + b*c**4 + z*c**3 + g + t*c**2 and give b.
5
Express -h + 7*h + 11*h + h**2 + 5*h as p*h + v*h**2 + t and give v.
1
Rearrange (-d + 2 - 2)*(-1 - 3 + 0) + (3 - 3 + 1)*(0*d + 0*d + d) - 12*d + 3*d - 3*d to g*d + k and give g.
-7
Express (3*y + 2*y - 3*y)*(-5*y + y + 2*y)*(0*y**2 + 4*y**2 - 2*y**2) + 5*y**3 - 5*y**3 - 6*y**4 as a*y**2 + b*y + v*y**3 + j*y**4 + h and give j.
-14
Rearrange (s**3 + 0*s**3 - 3*s**3)*(37*s - 3*s + 50*s - 3*s) to the form j + t*s**4 + o*s + v*s**2 + c*s**3 and give t.
-162
Rearrange 5*r**2 + 0*r + 2 - 4*r**2 + 7*r - 2*r to f*r + g + t*r**2 and give f.
5
Rearrange 6*v**2 - 32*v - 77*v**2 + 33*v to c + j*v**2 + h*v and give h.
1
Express -r - 2*r - 3*r - 68*r**2 + 5*r in the form j*r + a + k*r**2 and give j.
-1
Rearrange 13*u**2 + 3*u - 2*u + 5*u**2 + u**3 - u**2 to h + n*u + d*u**2 + m*u**3 and give m.
1
Express -223*b**2 + 242*b**2 - 4 + 24*b**4 + 5 - 22*b**4 as i + j*b + x*b**2 + f*b**4 + g*b**3 and give x.
19
Express -46*c - 72*c - 92*c as p*c + t and give p.
-210
Express -3904*h**2 + 3904*h**2 + 50*h**4 + 2 - h**3 in the form v*h**2 + c*h**3 + y*h + p*h**4 + r and give p.
50
Rearrange (w**2 - 2*w + 2*w)*(-4*w**2 + 2*w**2 + w**2) - 232*w**4 + 365*w**4 - 361*w**4 to the form s*w + n*w**4 + p + h*w**2 + j*w**3 and give n.
-229
Express (33 - 1 - 2 + (3 - 3 + 1)*(-3 + 2 + 0))*(-3*y - 2*y + 3*y) as f*y + j and give f.
-58
Express ((w + 0*w - 2*w)*(0*w + 2*w + 0*w) + 54*w**2 - 36*w**2 + 78*w**2)*(-2*w + w - w) in the form h*w**2 + m + j*w**3 + y*w and give j.
-188
Rearrange 2*m**2 + 3*m**2 - 3*m + 4*m**2 - 5*m**2 to b + l*m**2 + t*m and give t.
-3
Express 34*o + 24*o + o in the form l*o + n and give l.
59
Express (-q + 7*q - 2*q)*(0*q**2 - q**2 - 5*q**2) in the form u + t*q + s*q**2 + l*q**3 and give l.
-24
Express -j**3 + 8*j**2 + 7 - j**4 + 0*j**3 - 8 - 5*j**2 in the form o*j**2 + g*j**3 + d + m*j + s*j**4 and give s.
-1
Express 13 - 13*l - 29 + 18 as p + h*l and give h.
-13
Rearrange (j + 2*j - j)*(1 - 9 - 2)*(7*j**2 - 4*j**2 + 4*j**2) to k*j**2 + b + n*j**3 + y*j and give n.
-140
Express -11*x**4 - 3*x**2 - 2 + 2*x**2 + 12*x**4 + x - 1 as t*x**2 + y*x + c*x**4 + p*x**3 + i and give t.
-1
Express -3*y + 3*y**2 + 3*y + 2*y**2 - 3*y + 3*y + (y**2 + 24*y**2 + 35*y**2)*(1 + 0 + 0) in the form p*y**2 + r*y + t and give p.
65
Rearrange 9*g - 10*g + 2*g + 3*g + 5 to i + o*g and give o.
4
Rearrange -6*i**3 - 7*i**3 - 2 + 8*i**3 to k + z*i**3 + t*i**2 + w*i and give k.
-2
Express (-1 + 0 + 2)*((-k - 1 + 1)*(-3 + 3 + 2*k) + k**2 - 2*k**2 + 2*k**2 - 11*k**2 + k**2 + 5*k**2) as r*k**2 + y*k + i and give r.
-6
Express (-5 + 1 + 1 + 5 - 7 + 13 + (1 - 3 + 1)*(4 - 5 + 0))*(n - n + n) as v + u*n and give u.
9
Express -1 + 12*t + 2*t**3 - 12*t + (4 + 8*t - 4)*(-t + t - 2*t**2) as o*t + q + w*t**2 + v*t**3 and give q.
-1
Rearrange (44 - 27 - 23 - 15)*(-5*u + 4*u + 0*u) to r*u + h and give r.
21
Rearrange -5*r**2 + 19 - 11 - 10 + 2*r**3 to l*r**3 + a + f*r**2 + v*r and give l.
2
Rearrange 22*d - 16 + 17 + 6*d - 114*d to l*d + h and give l.
-86
Express 2*m**3 - m**3 - 4*m**3 + (0*m**2 + 2*m**3 + 0*m**2)*(2 - 3 - 1) - 4*m**3 + 5*m**3 - 2*m**3 in the form p*m + d*m**3 + s*m**2 + j and give d.
-8
Express (4*g - 4*g - 4*g)*(3*g - 2*g - 3*g)*(4*g**2 + 0*g**2 - 2*g**2) as h*g + s*g**3 + f + j*g**4 + o*g**2 and give j.
16
Express (-w + w + 4*w)*(-w**3 + 8*w**2 - 8*w**2) in the form i*w**2 + k*w + h + o*w**4 + x*w**3 and give o.
-4
Express (-3*y**2 + y**2 + 5*y**2)*((5 - 2 - 4)*(0 + 1 - 3) + 137 - 50 - 38) in the form r*y + u*y**2 + w and give w.
0
Rearrange (-c**2 - c**2 + 1 + 2)*(3 + 0 - 1)*(3*c + 0*c + c + (-2*c + 7*c - 2*c)*(-2 + 3 + 0)) to the form d*c**3 + v + a*c + f*c**2 and give a.
42
Rearrange 9*a + 2 - 17*a + 10*a - a**2 to k*a**2 + q + h*a and give h.
2
Rearrange -69 + 68 + 2*r**2 + 0*r**2 - r - 6*r**3 - 2*r**4 to the form g*r**4 + c*r + k*r**3 + f*r**2 + u and give k.
-6
Express 2 - 4*o**2 - 359*o**3 + o**4 + 359*o**3 in the form t + u*o**4 + a*o**2 + s*o**3 + i*o and give s.
0
Rearrange 12*p**2 + 7*p**2 - p**2 to the form s + u*p**2 + i*p and give u.
18
Express 239 + 95*p - 239 + (7 - 3 - 2)*(2*p - 2 + 2) as q + u*p and give q.
0
Rearrange 10*m - 9*m - 19*m to the form x + s*m and give s.
-18
Express 2499*w + 22*w**3 - 2499*w + (4*w**2 + w**2 - 4*w**2)*(1 + w - 1) - 2 - 2*w**3 + 2 as x*w + d*w**3 + n*w**2 + o and give d.
21
Express j**3 + 40*j**4 + 3*j**3 - 6*j**3 - 200 + 2*j**2 + 199 in the form z*j**2 + m*j**3 + b + y*j + a*j**4 and give a.
40
Express -3*i**2 + 17*i**3 + 1 - 11*i**3 - 8*i**3 in the form w*i**3 + f + x*i + r*i**2 and give f.
1
Express (1 + 2 + 2)*(-1 + 2 - 3)*(-7*a + 0*a + a)*(-1 + 0 - 1) in the form m*a + q and give m.
-120
Express 3*l**3 - 3*l**3 + 3*l**3 + (-8*l + 18*l - 5*l)*(2*l**2 - 1 + 1) as t*l**3 + j*l**2 + s + g*l and give t.
13
Rearrange -135*a**2 - 1604 + 1604 to l*a + w + k*a**2 and give k.
-135
Rearrange 14*j**2 - 18*j - 1 - 6*j**2 + j**3 - 8*j**2 to q*j**2 + g + m*j + t*j**3 and give g.
-1
Rearrange (-2*g - g + 2*g)*(2*g - 1 + 1) - g**2 + g**2 - 2*g**2 + 4*g + g - 10*g**2 - 4*g to a*g + j + t*g**2 and give a.
1
Rearrange 2*x + 6*x - | {
"pile_set_name": "DM Mathematics"
} |
y for z.
-5
Let b be (1 + 3/(-2))*-2. Suppose -i + b = -1. Suppose 10 = 4*x - i*u, -u + 0*u = -1. Solve 0 = -0*c + 3*c + x for c.
-1
Let x(t) = 24*t + 542. Let s be x(-22). Solve 11*h - s + 3 = 0 for h.
1
Suppose 5*y - 240 = -0*y. Suppose -4*d = -2*m - y, 0*m = 3*m + 12. Solve 5*v + 0*v = d for v.
2
Let v(z) = -z + 3. Let g be v(1). Let k(h) = -h - 1. Let y be k(-7). Solve -2*r = y + g for r.
-4
Suppose t - 7*t - 108 = 0. Let s be (250/(-18))/(-5) - 4/t. Solve s*b = 4*b + 2 for b.
-2
Let z(y) = -y**3 - 11*y**2 - 5*y + 11. Let o be z(-11). Let v = 71 - o. Solve v*m + 20 = m for m.
-5
Let o(r) = -r**3 - 16*r**2 + 17*r. Let m be o(-17). Suppose 0 = -m*x - 4*x + 12. Suppose -5*u + 17 = -g, -x*g + 8*g + u = 19. Solve -g = -0*l + 3*l for l.
-1
Suppose 15*p - 9*p = 126. Suppose p = 4*w - w. Solve -5*t + w = -13 for t.
4
Let w be 3*3/(9/(-20)). Let r = 25 + w. Suppose g = r*g. Solve g*n + n = 0 for n.
0
Let y(s) = -2*s**3 - 4*s**2 + s - 1. Let v be y(-3). Suppose 5*b + 10 = 5*i, 5*i - v = b + i. Solve -2*z + 12 = b*z for z.
3
Let k = 20 + -17. Let x = 21 + -19. Solve -x*l = l - k for l.
1
Suppose -5*g - 10 = -2*y, -7*y + g = -5*y - 2. Solve 26*t - 22*t + 12 = y for t.
-3
Suppose 0 = 3*d - 4*d. Let z(i) = i. Let y(v) = 4*v - 1. Let f(s) = -y(s) + 3*z(s). Let b be f(-1). Solve a - b*a - 1 = d for a.
-1
Let b be 0/(-2 + (-4 - -7)). Solve -6*n + 4*n - 10 = b for n.
-5
Let s(w) = w + 1. Let q be s(1). Solve 13*d + q*d = d for d.
0
Let a(x) = -x**2 - 10*x + 16. Let h be a(-11). Suppose h*z = 3*z + 8. Suppose -3*w = 2*w - 2*y - 13, 0 = -2*w - 2*y + 8. Solve g + z = w*g for g.
2
Let x be ((-9)/(-6))/(3/24). Suppose 2*c - x = -3*a, -4*a + 14 = 2*c - 4. Solve -a*w = -2*w + 20 for w.
-5
Suppose 0 = -y + 17 - 5. Suppose 3*x = 6, -3*l = -0*x + 3*x + y. Let b = l - -8. Solve 2*m = -b + 12 for m.
5
Suppose 0 = -h - 12*h + 65. Let n(m) = 2*m - 3. Let v be n(3). Solve v*u + 2*u + h = 0 for u.
-1
Let s be (-2 + (-7)/(-2))/(3/8). Let r = 14 - 11. Solve -r*l = l + s for l.
-1
Suppose -2*i - 74 = 86. Let n = i + 85. Solve 0*m + m = -n for m.
-5
Let c be (-48)/18*54/(-4). Suppose 20*a - c = 16*a. Let y be (0 - 1) + 2 + -1. Solve -2*x - x + a = y for x.
3
Let d be ((-35)/14)/(280/(-1008)). Let t(m) = -m**2 + 6*m - 3. Let f be t(3). Solve 3*b - f*b = -d for b.
3
Suppose -70*j + 20 = -66*j. Solve 11 = -j*o - 9 for o.
-4
Let t be -17 - (-1 - -2) - 0. Let v be (t/30)/(6/(-5) - -1). Solve -4 = 2*q - v*q for q.
4
Let g = -213 - -219. Solve -g*h - 4 = -16 for h.
2
Suppose -3*a - 20 = -4*a. Let w(u) = u**2 - 3*u - 7. Let f be w(3). Let b = a + f. Solve -b = 5*l + 2 for l.
-3
Let o(j) = 4*j - 78. Let u be o(20). Suppose 4*i - 9 = -y, 0 + 1 = i. Solve -u*r = y + 1 for r.
-3
Let s(i) = -i**2 - 12*i + 4. Let w be s(-12). Solve -w*q - 25 = q for q.
-5
Suppose -4*u - 10 - 30 = 0. Let h be (12/10)/(u/(-25)). Solve -h = -t - 8 for t.
-5
Let q = 730 - 729. Solve -10*r - 29 = q for r.
-3
Suppose -u = -l - 0*u + 1, 9 = l + u. Solve 4*m + 1 = l*m for m.
1
Let f = -3 - -7. Suppose 0*j + 4*u = f*j - 4, -3*u = -4*j + 5. Suppose -3*a + 5 = 2. Solve i + j = -a for i.
-3
Let h(s) = 5*s + 0*s**2 + 8 + 2 + s**3 - 7*s**2 - 3. Let q be h(6). Let k be q + -4 + 6/2. Solve -8 = -2*f - k for f.
4
Let a(q) = 8*q**2 + 96*q + 4. Let m be a(-12). Solve -3*k + 7*k = m for k.
1
Let l(u) be the second derivative of u**4/12 + 2*u**3/3 - 4*u**2 - 8*u. Let v be l(-6). Solve 0 = -o - 3*o + v for o.
1
Let o be 54/99*(-44)/(-6). Solve o*s = 2*s for s.
0
Suppose 5*c - 68 = 32. Suppose -4*t + 12 = i + i, -15 = -2*i - t. Solve -4*l + c = i for l.
3
Let f = -10 + 6. Let v be (-6)/f*2 - 1. Suppose 4*b + j - 2*j = 8, 0 = -5*b - 3*j - 7. Solve -3 = -v*g - b for g.
1
Let l(f) = -f**2 + 6*f - 6. Let h be l(3). Suppose 0 = h*k - k - 12. Solve k = m - 3*m for m.
-3
Let m be (-513)/(-45) + (-4)/10. Let v be (-9)/(-2) - (-7)/(-14). Suppose v*x - 15 = -3. Solve -4 - m = -x*o for o.
5
Let q(x) = -2*x - 14. Let b be q(-9). Suppose a = 4*z + 17, 3*a + 2*z - b = 5. Suppose -a = -4*l + 11. Solve -5*g + 24 - l = 0 for g.
4
Suppose -21*z + 30 = -16*z. Solve -7*y - z*y = 7*y for y.
0
Let n = 63 + -31. Suppose 0 = 2*y + n - 86. Solve -5*h = -2 + y for h.
-5
Let u = -1055 - -1072. Solve 12*y - 5 = u*y for y.
-1
Let z = 27 - 7. Let b = -9 + 12. Suppose 3 = r, -3*r = -4*j - 2*r - b. Solve j = -6*d + d + z for d.
4
Let c(w) = -w + 2*w + 2*w - w**3 + 3 - 3*w**2 + 0*w**3. Let s be c(-4). Solve -s*t + 2*t = 0 for t.
0
Let i be (-21)/(-5) - (-3)/(-15). Let j(z) = 8*z - 29. Let l be j(i). Solve 0 = l*n + 2*n + 25 for n.
-5
Let q(w) = -2*w + 34. Let s be q(12). Suppose -7*b - 19 = -s*b - 2*d, 5*b = 5*d - 10. Solve 5*y - b*y + 10 = 0 for y.
-5
Let t(m) = -m**3 + 13*m**2 - 3*m - 13. Let y be t(13). Let o = y - -53. Let h = 16 - 10. Solve -z - h + o = 0 for z.
-5
Let a(c) = 32*c - 59. Let r be a(2). Solve r*g + 20 = -5 for g.
-5
Suppose -58*m + 166 = -8. Let u = -3 + 5. Solve -m*b + 7 = -u for b.
3
Let c be (-9)/(-7) + 36/(-126). Suppose -3*o - 4*w = -8, 0 = -o - 5*w + c - 2. Solve 3*f + 8 + o = 0 for f.
-4
Let f be (-2)/(-2)*(96/3 - 4). Let x = -24 + f. Let l = 24 - -1. Solve l = x*u + u for u.
5
Let k = 14 - 21. Let n be (-4 - k)/(3 + 0). Suppose -n = -o + 1. Solve -4*f - 8 = -o*f for f.
-4
Suppose 8*t - 3*t = -90. Let i = -15 - t. Solve 0*k + i = -3*k for k.
-1
Let t = 12 + -18. Let n be t/(-8) - (-34)/8. Let p be ((-2)/n)/((-2)/60). Solve 4*x - x - p = 0 for x.
4
Let a be 3 - 1 - 2*1/(-2). Suppose -7 = -p - a. Solve -4*y + 4 = -p for y.
2
Let q(g) = 0 + 2*g**2 - 33*g - 5 + 3*g - 18. Let f be q(16). Suppose 3*s - 7 = 5. Solve -s*x = 3 + f for x.
-3
Let y(q) = q**3 - 10*q**2 - 15*q - 4. Let h be y(11). Let c = 52 + h. Solve 3*a = -a - c for a.
-1
Let v = 81 - 207. Let k = v - -129. Solve k = -y + 1 for y.
-2
Let k be (-1)/((8/(-4))/38). Suppose -k = -4*j - 3. Let a be (-8)/(-6)*54/j. Solve -3*b - a = -3 for b.
-5
Suppose -5*z = 80*z - 340. Solve -16*i = -z*i - 12 for i.
1
Let f = -149 + 150. Let c(r) = r**2 - 5*r + 2. Let x be c(4). Let w = 6 + x. Solve n + f = w for n.
3
Suppose -23*j = -19*j. Suppose -4*z = -4*o + 4, -5*o + j*z + z = -13. Solve 3 = -2*p - o for p.
-3
Let k = 15 + 0. Suppose 0 = -10*v + k*v. Solve o + v*o = -3 for o.
-3
Let r(s) = 2*s**2 - 4*s - 6. Let p be r(5). Suppose 0 = -p*x + 25*x. Solve x = -4*a + a + 6 for a.
2
Let k(v) = -v - 15 - 7*v - 13 + 5*v. Let x be k(-11). Solve -3*j + x = -10 for j.
5
Let t(u) = -u**3 + u**2 + 3*u - 3. Let x be t(-2). Solve -x + 23 = -5*f for f.
-4
Let h be (-1 + -1)/((-46)/345). Suppose -h*w = -14*w - 4. Let v = -11 + 15. Solve v = w*x - 0 for x.
1
Let a(t) = -7*t**3 + t**2 + t. Let o = -16 - -18. Let r be o/(-3) - 5/15. Let m be a(r). Solve 0 = 3*g - m - 2 for g.
3
Let i = 5 - 5. Suppose i = -x - 0*x. Let p be 5 + (-3 - (x + -2)). Solve p*q = -q for q.
0
Suppose 11 = u - 2*j + 7*j, 2*j = 4*u - 22. Let l = 16 - u. Solve 0 = 5*d - l - 5 for d.
3
Suppose 2*j - 11 = -3. Let q(z) = -4*z - 7. Let t = 68 - 71. Let c be q(t). Solve -c*m = 19 - j for m.
-3
Let u = -16 + 36. Let w = u - 5. Solve 0*l = -5*l + w for l.
3
Let s(p) = 4*p - 20. Let v be s(9). Let o = -11 + v. Suppose y - o*q = -19, -2*y + 3 = q - 3. Solve -t = -y - 1 for t.
2
Let q = -127 + 90. Let r = -33 - q. Suppose -4*x + 3 = -3*x. Solve a - r = -x for a.
1
Let q(p) = -p**2 + 13*p - 30. Let f be q(7). Solve 0 = -7*n + n + f for n.
2
Suppose 2*y - 76 + 30 = -3*s, -5*y + 90 = -5*s. Suppose f - t + 5*t = y, 3*f + 3*t = 15. Solve f*i - 4*i - 8 = 0 for i.
-2
Suppose -5*r + 16 = -9*r. Let i be (r/((-20)/9))/(27/90). Solve -2*s = 2 + i for s.
-4
Let j be 0*(-3 - -4) - -2. Let t = 29 + -26. Let h be t/2 + 7/j. Solve h = 3*c - 4*c for c.
-5
Let j(h) = -h**3 - 4*h**2 - 3*h - 1. Let y be j(-2). Let d be y/(-1) - (-2 - -1). Let n(f) = f**2 - 231*f + 908. Let m be n(4). Solve -d*q = -m*q for q.
0
Let j = 4 - 15. Let m be 2/j + (-79)/(-11). Suppose -m*x = -4*x - 12. Solve o = 9 - x for o.
5
Let u = -727 + 732. Solve 0 = u*w + 6 - 21 for w.
3
Let r be (4 - -2)*(-10 - -9). Let o be r/(-14) - 9/21. Solve o = -0*m - m - 2 for m.
-2
Let x(p) = -p**2 - 9*p + 8. Let j be x(-9). Let q = j + -4. Suppose -5*i = 6 - 31. Solve i*u = -q - 1 for u.
-1
Let r(n) = 1 + 2*n**2 + 2*n - 2 + 0 - n**3 - 3. Let b be r(2). Solve b = -a - 2 for a.
-2
Suppose -5 = -4*g + 3*h + | {
"pile_set_name": "DM Mathematics"
} |
80*r**3
Let p(s) be the second derivative of -1223*s**5/20 + 439*s**3/6 + 1088*s - 1. Find the second derivative of p(k) wrt k.
-7338*k
Find the first derivative of -4086*z**2 - 14266 + 4086*z**2 - 247*z + 247*z + 7363*z**3 wrt z.
22089*z**2
Let c(s) be the second derivative of s**7/6 + s**6/15 - 39*s**5/5 + 7*s**3/3 - 20*s**2 - 21*s - 39. Find the second derivative of c(b) wrt b.
140*b**3 + 24*b**2 - 936*b
Suppose 9 = -5*d + 4, 4*h = -5*d + 203. Find the second derivative of 60*z**4 + 125*z - h*z**4 + z**3 - 2*z**3 wrt z.
96*z**2 - 6*z
What is the derivative of 6227*l**2 - 12445*l**2 + 6220*l**2 - 3681*l - 587*l + 7605 wrt l?
4*l - 4268
What is the second derivative of -75 - 85 - 82 + 3*m**5 + 77*m - 349*m**4 + 243 wrt m?
60*m**3 - 4188*m**2
Let d(a) be the first derivative of 73/6*a**6 + 0*a**4 + 0*a**2 + 7*a**3 - 4 + 0*a - 1/5*a**5. Find the third derivative of d(z) wrt z.
4380*z**2 - 24*z
What is the third derivative of 871*l**3 - 1 + 119*l**2 - 674*l**2 + 1267*l**3 wrt l?
12828
Find the second derivative of 31*d - 1 - 726533*d**5 - 4 + 725597*d**5 wrt d.
-18720*d**3
Let j(l) be the second derivative of -38*l**6/3 + 2283*l**2/2 + 250*l. What is the derivative of j(a) wrt a?
-1520*a**3
Let a(l) be the third derivative of 1285*l**4/24 + 1613*l**3/3 + 2404*l**2. Differentiate a(h) with respect to h.
1285
Suppose 4*a + 6*y = 2*y - 232, -4*y = -3*a - 188. Let i = a + 63. What is the second derivative of -26*u - 2*u**2 + 2*u**2 - 36*u**3 + 21*u**i wrt u?
-90*u
Let g(l) be the third derivative of l**4/24 - l**3/6 + 39*l**2. Let s(w) = -18*w - 20. Let y(z) = 6*g(z) + 3*s(z). Find the first derivative of y(k) wrt k.
-48
Let m(s) be the first derivative of -11*s**6/2 - 15*s**4/4 - 555*s**3 - 247. What is the third derivative of m(k) wrt k?
-1980*k**2 - 90
Let p = -293 + 295. Find the third derivative of -7194 - 5*h**2 - p*h**2 + 7202 + 134*h**4 wrt h.
3216*h
Let w(a) be the second derivative of -5/2*a**2 - a**3 + 1/2*a**4 + 0 + 28*a. What is the second derivative of w(i) wrt i?
12
What is the third derivative of 338*j**2 - 115 - 236*j**3 + 115 + 44*j**3 wrt j?
-1152
Suppose 0 = 2373*t - 2372*t. Let b(k) be the second derivative of 0*k**4 + t*k**3 + 2/5*k**5 + 36*k + 0 + 29/2*k**2. What is the first derivative of b(u) wrt u?
24*u**2
Let q(t) be the first derivative of -677*t**4/2 + 2*t**3/3 + 4*t**2 - 18*t - 7667. Find the second derivative of q(k) wrt k.
-8124*k + 4
Let s = 236 + -234. What is the derivative of -68 + 2*y**3 - y**2 - 2*y**3 + 0*y**s - 3*y**3 wrt y?
-9*y**2 - 2*y
Suppose 57 = 4*w + 1. What is the third derivative of 24*l**3 + 47*l**2 + 16*l**3 + w*l**3 wrt l?
324
Suppose -162 = -h - 157. What is the third derivative of -62*k**2 + 30*k**3 - 63*k**h + 62*k**5 - 23*k**2 wrt k?
-60*k**2 + 180
Let m(a) be the second derivative of 7*a**5/20 - 41*a**4 + 1114*a**3/3 + 4534*a. Find the second derivative of m(x) wrt x.
42*x - 984
Let v(l) = -l**3 - 2*l**2 + 7*l. Let w(f) = -f**3 - f**2 - 14*f + 4183. Let x(c) = 2*v(c) + w(c). Differentiate x(o) wrt o.
-9*o**2 - 10*o
Let h = -51 + 77. Suppose -f - h = -32. Find the third derivative of -2*k**f + 21*k**2 + 6*k**6 + 180*k**4 - 180*k**4 wrt k.
480*k**3
Let q = -149 - -184. Let o = 1967 + -1003. What is the second derivative of 5*z**3 + o*z - q*z**3 - 989*z wrt z?
-180*z
Let q(r) be the second derivative of 133*r**5/20 - 2765*r**4/12 + 3*r + 374. Find the third derivative of q(s) wrt s.
798
Let i(q) be the first derivative of 267*q**4 - q**3/3 - 3589*q**2/2 + 4252. Find the second derivative of i(s) wrt s.
6408*s - 2
What is the second derivative of -2142*g + 554*g**4 - 1488*g**4 - 9239*g + 650*g - 821*g**4 wrt g?
-21060*g**2
Let h(l) be the second derivative of -l**4/6 + 115*l**3/3 + 1481*l**2/2 - 489*l + 2. What is the first derivative of h(z) wrt z?
-4*z + 230
Let d(k) = 35*k**3 - 3*k**2 - 2*k + 1723. Let j(h) = -35*h**3 + 5*h**2 + 3*h - 1723. Let f(w) = -3*d(w) - 2*j(w). Differentiate f(l) wrt l.
-105*l**2 - 2*l
What is the derivative of 2730 + 6228*r - 223*r**3 - 76*r**3 + 43*r**3 - 132*r**3 - 6231*r wrt r?
-1164*r**2 - 3
Let h(g) be the first derivative of 11*g**3 + 9*g**2 - 900*g - 7. Find the first derivative of h(s) wrt s.
66*s + 18
Let h = -13401 - -13401. Let y(u) be the second derivative of 26*u + 0*u**4 - 7/2*u**2 + 0*u**5 - 1/3*u**6 + h*u**3 + 0. Differentiate y(v) with respect to v.
-40*v**3
Find the first derivative of -3918 - 2572 + 1657 + 14175*k + 790 - 4219 wrt k.
14175
Find the second derivative of -14*u**2 + 620*u - 13*u**2 + 26*u**2 + 440*u - 2577*u**4 wrt u.
-30924*u**2 - 2
Suppose a - 4 = -5*q + 18, 4*q = 16. What is the second derivative of -2 - 4547*k**2 + 0 + 2*k**4 + 4547*k**a - 14*k + 42*k**3 wrt k?
24*k**2 + 252*k
Suppose -39 = -2*l - 11*l. What is the first derivative of -1048*i**3 + 5*i**2 + i + 1090*i**l - 5*i**2 - 50 wrt i?
126*i**2 + 1
Let i(q) = 7*q**2. Let a be i(1). Suppose a*j = -0*j + 21. Find the second derivative of 7*l**j + 404*l**2 - 404*l**2 + 9*l wrt l.
42*l
Find the second derivative of 70*d - 49*d**5 - 3444*d**5 - 460*d**5 - 1345*d**5 - 17 wrt d.
-105960*d**3
What is the first derivative of -j**2 + 8*j**4 - 36*j**4 + 110*j + j**2 + 7744 + 3436 wrt j?
-112*j**3 + 110
Let p(v) be the third derivative of 1033*v**4/6 + 3875*v**3/3 - 993*v**2 + 2. What is the derivative of p(i) wrt i?
4132
Let k(p) be the first derivative of 31*p**4/4 - 65*p**3/6 - 95*p**2/2 + 119. Let z(f) be the second derivative of k(f). Find the first derivative of z(a) wrt a.
186
Let c(f) = 11*f**2 + 5*f + 6. Let y be c(5). Suppose -8*b - b + y = 0. Differentiate -b + 68*s + 60*s - 10*s**4 - 128*s wrt s.
-40*s**3
Let o(b) be the first derivative of 0*b**4 + 56 + 0*b + 3/2*b**2 + 93/5*b**5 - 28/3*b**3. What is the third derivative of o(h) wrt h?
2232*h
Let v = -2 + 6. Let p be (v - (-136)/(-12))*(-3)/2. What is the first derivative of 7 - 9*l + 5*l - p*l + 9 wrt l?
-15
Let q(n) = -6520*n**3 + 2*n**2 - 4379. Let a(h) = 8. Let v(d) = -2*a(d) - q(d). What is the first derivative of v(x) wrt x?
19560*x**2 - 4*x
What is the second derivative of 641*w**2 - 2599*w - 284*w**2 + 14299*w**2 wrt w?
29312
Let a(j) = -3*j**3 + 15 + 4*j**3 - 2*j**3 - 2*j**2 + 2*j - 6. Let z be a(-3). Differentiate 4 - z*x**3 + 3 + 10 wrt x.
-36*x**2
Let l(s) = -s**3 + s - 1. Let y(x) = 3700*x**4 - 14*x**3 + 5498*x**2 + 14*x - 14. Let h(a) = 14*l(a) - y(a). Find the third derivative of h(c) wrt c.
-88800*c
Let s be (8 - 129/15)*5/(-1). Find the third derivative of 963*k**2 + 20*k**s - 965*k**2 - 242*k**3 - 6 wrt k.
-1332
Let j = -76679/4 + 19170. Let a(v) be the first derivative of v**2 - 43 - j*v**4 + 2/3*v**3 + 0*v. Find the third derivative of a(z) wrt z.
-6
Let i(m) be the first derivative of -634*m**7/7 - 2689*m**3/3 - 2602. What is the third derivative of i(f) wrt f?
-76080*f**3
Let q(k) = k**2 + 7*k + 10. Let r(w) = -2*w + 24. Let l be r(15). Let b be q(l). What is the third derivative of 46*p**4 - 46*p**b + 4*p**5 - 11*p**2 wrt p?
240*p**2
Let f(q) be the third derivative of 29/120*q**6 - 4*q - 55/3*q**3 + 0*q**5 + 0*q**4 + 11*q**2 + 0. What is the derivative of f(s) wrt s?
87*s**2
Let d(s) = 330*s**3 - 28*s**2 + 7*s + 1229. Let f(l) = l**3 - 4*l**2 + l - 2. Let h(o) = d(o) - 7*f(o). Differentiate h(k) with respect to k.
969*k**2
Let p be 382/10*49/294 - 12/(-90). Let z(a) be the first derivative of 0*a + 14/3*a**3 - p*a**2 - 25. What is the second derivative of z(h) wrt h?
28
Let h be (-8)/48 - (-1303)/6. Differentiate -78*k + 110 + 111 - h wrt k.
-78
Let o(m) be the third derivative of -275*m**9/84 - 1211*m**5/30 - 15*m**2 - 11. What is the third derivative of o(d) wrt d?
-198000*d**3
Let x(u) be the third derivative of -673*u**5/12 - 29*u**4/4 + u**3/2 - 87*u**2 - u + 13. Find the second derivative of x(h) wrt h.
-6730
Let k(u) = 11*u + 277. Let z be k(-21). Find the third derivative of 75*y**2 - 51*y**4 - y**3 + 32*y**4 + y**3 - z*y**4 + 2*y**5 wrt y.
120*y**2 - 1560*y
Let z(u) = u**3 - 5*u**2 - 9*u + 7. Let d be z(6). Let v = d + 20. What is the first derivative of -6 - 5*t**2 - 4 - v*t**2 - 4 wrt t?
-28*t
Let i be 15*(-8)/(-20) + -3. What is the derivative of 0*a**3 + 6 + 0*a**3 + 1 + a**i - 91*a**2 wrt a?
3*a**2 - 182*a
What is the derivative of 581 - 127*q**4 + 4*q**4 - 1936 - 65*q**4 wrt q?
-752* | {
"pile_set_name": "DM Mathematics"
} |
t k = 9 - 7.6. What is k rounded to the nearest integer?
1
Suppose 3*f = 9, 0 = 2*l - 3*f + 5 - 2. Suppose 5*a = -l + 33. Suppose -99000 = a*v - 3*v. Round v to the nearest 10000.
-30000
Let x be -7 + -6*3/6. Let i be (-2549991)/(-15) - 6/x. Suppose 0 = 4*y + 2*m - 7*m - 340000, 2*y - 2*m = i. Round y to the nearest ten thousand.
90000
Let p = 0.60037 - 0.6. Round p to 4 decimal places.
0.0004
Let f = 127.99999232 + -128. Round f to 6 dps.
-0.000008
Let s = -66.2336 - -65.353522. Let z = 0.88 + s. What is z rounded to 5 decimal places?
-0.00008
Let f = -2.513 - 0.488. Let l = -0.019 + 3.019. Let v = l + f. What is v rounded to 3 dps?
-0.001
Let p = -72.196 - -72. Let c = p - -0.19439. What is c rounded to four decimal places?
-0.0016
Let v = 197 + -209.35. Let r = v - -12. Let q = r + 0.34915. What is q rounded to four dps?
-0.0009
Let f = 50.6633 - 0.0633. What is f rounded to the nearest 10?
50
Let m = -3040276601544 + 3040275889360.9299934. Let q = 712183 + m. Let w = q - -0.07. Round w to 6 decimal places.
-0.000007
Let t = 0.08 - 0.079939. What is t rounded to 5 decimal places?
0.00006
Let n = -3 + -6. Let j = 4 + n. Let f = 5.0000004 + j. What is f rounded to 7 decimal places?
0.0000004
Let n be (-1668)/(-1)*10/(-10). Let i = n + -332. Round i to the nearest 1000.
-2000
Let w = -26.199 + -0.001. What is w rounded to the nearest integer?
-26
Let n = 181.0000422 + -181. Round n to 6 dps.
0.000042
Let n = 84.91 + -89. Let a = n + 0.09. Let z = 4.0000004 + a. What is z rounded to 6 dps?
0
Let z = -63.1 + 66. Let t = 234.94 + -232.040065. Let p = t - z. What is p rounded to five dps?
-0.00007
Let a = -22328 - -36228. Round a to the nearest 1000.
14000
Suppose 0 = 2*y + 4*w + 36 + 522, 4*y + 1130 = -w. What is y rounded to the nearest 10?
-280
Let n be 524999986/21 - (-2)/3. Round n to the nearest one million.
25000000
Let i = -1936102.999932 - -1936109. Let o = i - 6. What is o rounded to 5 dps?
0.00007
Let s be ((-1344)/63)/(2/(-1068750)). Round s to the nearest 1000000.
11000000
Suppose 5*p - 123494 = 2*o, -3*o - 21854 = -4*p + 76937. What is p rounded to the nearest one thousand?
25000
Let c = 3188 + -5066. Let t = c + 1878.080048. Let p = -0.08 + t. What is p rounded to 5 dps?
0.00005
Let p = -14 - -14.00000195. What is p rounded to 7 decimal places?
0.000002
Let y = 80 - 176. Let g = -96.00000043 - y. What is g rounded to 7 decimal places?
-0.0000004
Let y = -81 + 76.9. What is y rounded to the nearest integer?
-4
Let l = -92.00000125 + 92. What is l rounded to 7 decimal places?
-0.0000013
Let l = -0.0365838 - 0.7634682. Let q = 0.8 + l. What is q rounded to five decimal places?
-0.00005
Let t = 3 + -3.08. Let f = 0.24 - t. Let s = f + -1.36. Round s to 1 decimal place.
-1
Let u = 23.00000076 + -23. Round u to 7 dps.
0.0000008
Suppose -5*q - 4749 = 7751. Round q to the nearest one thousand.
-3000
Suppose 0*f - 8*f + 4560000 = 0. What is f rounded to the nearest 100000?
600000
Let j be ((-12)/(-9))/(2/3). Suppose -3*z - n = -600005, 6*z - j*z - 800005 = -n. Round z to the nearest one million.
0
Let r = 32.7 - 4.7. Let m = -673477562 - -673477589.99999896. Let t = m - r. Round t to seven decimal places.
-0.000001
Let u(o) = o**3 - 8*o**2 + 7*o + 3. Let r be u(7). Suppose -5*c - 42015 = r*y, 5*y = 4*c - 31298 - 38690. What is y rounded to the nearest one thousand?
-14000
Let w = 5 - 12. Let y = 6.99999955 + w. Round y to 7 dps.
-0.0000005
Suppose -5*o + 2*o = -88200006. Suppose -o = -2*k - k + 2*c, 0 = k - c - 9800001. What is k rounded to the nearest 1000000?
10000000
Let j = -44.5424532 + 26.7484083. Let o = -1.2058931 + j. Let m = o + 19. What is m rounded to five decimal places?
0.00006
Suppose -57 = -2*v + 5*v - 2*o, 3 = -o. Let k be (-4)/(-14) - (-294006)/v. Round k to the nearest 10000.
-10000
Let i(g) = -g**3 + 10*g**2 - 8*g + 4. Let l(c) = -c**2 - 14*c - 6. Let p be l(-9). Suppose -p = -5*s - 4. Let q be i(s). What is q rounded to the nearest 10?
100
Let i = -0.1515 - -0.102. Round i to 2 dps.
-0.05
Let r(a) = 0*a + 8 + 5*a - 10*a + 2556*a**2 + 9*a. Let s be r(-3). What is s rounded to the nearest ten thousand?
20000
Let d = 0.58977 - 0.59. What is d rounded to 4 dps?
-0.0002
Let g = 7 - 7.00000104. Round g to seven decimal places.
-0.000001
Let n be 2/(-5) - 18/5. Let v be (33750/n)/((-1)/(-96)). Round v to the nearest 100000.
-800000
Let l be (2 - 1)*(1 - -20919256). Let t = -1588106 - -3907363. Suppose -2*g + l - t = 0. Round g to the nearest one million.
9000000
Suppose 3*i = 5*t - 143488, -4*i = -2*t - 3*i + 57396. Round t to the nearest 1000.
29000
Let y = 0.09 - 0.12. Let l = 2.17 - y. Round l to zero dps.
2
Let a = 56.41 + 0.59. Let u = a - 21. Let b = -36.0054 + u. Round b to three dps.
-0.005
Let y = 145 - 99. Let s = 46.00073 - y. What is s rounded to four decimal places?
0.0007
Suppose x + 4449 = 135145. Let z = 21696 - x. What is z rounded to the nearest ten thousand?
-110000
Let s(k) = -67*k - 4. Let c be s(-2). Round c to the nearest 100.
100
Let d = 26.22 - 22.227. Let y = d - 4. Round y to two decimal places.
-0.01
Let s = -30612823422.9099964 + 30612402516. Let c = s - -420907. Let o = 0.09 - c. Round o to six decimal places.
-0.000004
Suppose -4*n - 41 = -221. Let f be 10/n + (-32400002)/9. What is f rounded to the nearest one million?
-4000000
Let x(f) = 11*f**2 + 9*f - 12. Let l(p) = 2*p - 5. Let t be l(7). Let b be x(t). Round b to the nearest 100.
1000
Let l = 20.00000009 - 20. Round l to 7 decimal places.
0.0000001
Let f = -57323955.5 + 57324005.5000062. Let t = 50 - f. Round t to 6 dps.
-0.000006
Let c = -1.00000022 - -1. Round c to seven dps.
-0.0000002
Let i = -165.1 - -166.107. Let v = i + -1. What is v rounded to 2 decimal places?
0.01
Let s = -1.71 + -0.49. What is s rounded to 0 dps?
-2
Let s = -1490 + 1326.8. Let w = s + 155.77. Let c = w - 0.07. Round c to the nearest integer.
-8
Let r = 113.58 - 103.6. Let l = -20 + 19.92. Let h = r + l. What is h rounded to zero dps?
10
Let a = 13 + -13.48. Let y = a + -4.22. Let l = 4.70037 + y. What is l rounded to 4 decimal places?
0.0004
Let d = 21.06 + -21. What is d rounded to two dps?
0.06
Let l = 11484 - 11603.138. Let x = 116.45 - -2.55. Let b = x + l. What is b rounded to 2 decimal places?
-0.14
Suppose -g = -5*g - 228. What is g rounded to the nearest 10?
-60
Let p = -1640.106 - -1646. Let x = p + 0.006. Let z = -6 + x. Round z to zero decimal places.
0
Let o be (-2484860)/18 + (-4)/18. Let z be (-2)/5 + o/(-20). Let j = z - 4602. Round j to the nearest one thousand.
2000
Let b = 57.1 + -52. Let r = b - 5. Let t = -0.09999999 + r. Round t to 7 decimal places.
0
Let j = 5444.9380023 - 5444.96. Let q = -0.022 - j. What is q rounded to six dps?
-0.000002
Let a = -185 + 259. Let t = a + -74.0041. Round t to 3 decimal places.
-0.004
Let v = -258970234.33275122998 + 1410.33274542998. Let h = -258968757 - v. Let u = -67 + h. What is u rounded to 6 decimal places?
0.000006
Let t = 80 + -79.943. Round t to 2 decimal places.
0.06
Let a = -1910.07016 + 1910. Let x = 0.07 + a. Round x to four decimal places.
-0.0002
Let c = -0.54892 - -0.55. What is c rounded to four decimal places?
0.0011
Let j = 0 + 3. Let g = -2 + j. Let m(w) = 18001*w**2 - w. Let x be m(g). Round x to the nearest ten thousand.
20000
Let f = 127427.9908 + -127378. Let d = -50 + f. Round d to three dps.
-0.009
Let j = -23.4 - -23.593. What is j rounded to two dps?
0.19
Let o = -4 - -7. Let j be 144*(o - -3571*7). Round j to the nearest 1000000.
4000000
Let g = -9 - -15. Let a = g - 2.5. What is a rounded to the nearest integer?
4
Let l = 4.7 - 4. Let p = 0.79 - l. Let z = p - 0.089994. What is z rounded to 5 decimal places?
0.00001
Let w = -333 + 93. What is w rounded to the nearest one hundred?
-200
Let s = -110493 + 110445.019. Let n = -144 - -96. Let h = s - n. What is h rounded to two dps?
0.02
Suppose 0 = 5*d - 42021138 + 4993118. Let n = 4089039 - 8094643. Let g = d + n. Round g to the nearest one million.
3000000
Suppose -4*w = -q - 84, 3*w + 0*w = 2*q + 68. Suppose -5*t - w = 5*p, -p = 3 - 1. Let l be (t - -2) + 1 - -5. What is l rounded to 0 decimal places?
6
Let q = -5 + -227. Let u = -232.00000123 - q. What is u rounded to seven dps?
-0.0000012
Let s = -0.26 + -13.74. Let p = 3.21 | {
"pile_set_name": "DM Mathematics"
} |
**(2/15)
Simplify (h**(1/9)*h/(h*h/h**2))**(-19/3)*((h/h**(-1/5))/h*h**(-5))/(h**1*h*h/h**(2/9)) assuming h is positive.
h**(-1973/135)
Simplify ((h**1*h)**(-5/11))**(-2)*h/(h/h**(-5/4))*h*h**(2/5)*(h**(-7)*h*h)/(h**(-7)/h) assuming h is positive.
h**(1093/220)
Simplify ((x**(-17)*x/x**(1/14)*x)/((x/(x*x**(-7/2)))/(x/(((x*x/(x*x**(-3/2)))/x*x)/x*x))))**(-21) assuming x is positive.
x**(843/2)
Simplify w**0*w*w**(2/11)*(w/w**0)**(29/5)*((w**(-1)/w)/w**(3/2))**(-16) assuming w is positive.
w**(3464/55)
Simplify s/(s*s/((s**(11/3)*s)/s))*s/((s*s**37/s)/s)*(s**(-1/6)/s)**(-2/25) assuming s is positive.
s**(-806/25)
Simplify (((v**(-20)*v*v*v)/v)/v*v)/(v**(-7/6)/v)*(v*v**33)**(1/4) assuming v is positive.
v**(-22/3)
Simplify ((i**(-2/3))**(1/7)*((i**6*i*i)/i*i)/(i/i**2))/((i**3/i)/(i**(2/7)*i))**25 assuming i is positive.
i**(-188/21)
Simplify ((j/(j*(j/(j**(-2)/j))/j*j*j*j))/j*j**(-2)/j*j*(j/j**1)**41)/((j**(-1)*j*j/(j/j**(-1/4))*j*j*j)/(j/(j*j*j**1*j))**(2/7)) assuming j is positive.
j**(-353/28)
Simplify ((((q**(-14)*q*q)/(q**2/q))/(q/(q/(q**(-1/24)*q))*q/(((q*q*q/(q**(2/9)*q)*q)/q)/q*q*q)))**34)**44 assuming q is positive.
q**(-163999/9)
Simplify (t**0)**34*t**(2/7)/t*t/(t**(-2/9)*t*t)*t*((t**0*t)/t)**(2/7)/(((t**5*t)/t)/(t/t**0)) assuming t is positive.
t**(-283/63)
Simplify (z/z**(-1))**(2/37)/(z/(z/(z/(z/(z/(z*z/z**1)*z)*z*z)))*z**3)*((z**2)**(-43))**(-2/47) assuming z is positive.
z**(3074/1739)
Simplify (((w*w**4/w*w)/w*w**(-1)*(w*w**(-2/7))**10)**(-39))**(9/8) assuming w is positive.
w**(-24921/56)
Simplify ((v*(v**(-1/3)*v)/v)**44/(v**1)**(-33))/(v**6/v**(-5)*v/v**(-6)*v**(-2)) assuming v is positive.
v**(139/3)
Simplify ((j**(-1))**(-1/5)*(j**(1/2))**(-1/3))/(j**(-1/8)*j**(7/4))**(-11/3) assuming j is positive.
j**(719/120)
Simplify ((r**(2/7))**(-17)*r**1/((r**(-4)*r)/r))/((((r/(r/((r*r**5*r)/r*r*r*r)))/r)/((r/r**(5/4))/r))/(r/(r*r**(-1)/r*r))**(-1/21)) assuming r is positive.
r**(-769/84)
Simplify ((a/(a/(a*a**(3/8))))/(a**6/a))**(-34)*(a**(-6)*a**(-2/7))/((a**(2/11)*a*a)/a**1) assuming a is positive.
a**(35661/308)
Simplify ((a/((a/(a/(a*a/a**(10/7))))/a)*a/a**3)/(a/(a*(a/((a/a**(-1/4))/a))/a))**(-2/15))**(5/9) assuming a is positive.
a**(-113/378)
Simplify ((l*l/(l*l/l**(-1/5)))**(2/187))**(-36)*l/(l/(l**0/l))*l*(l*l*l/l**6)/l*l/l**(-3)*(l**(-3/8)*l)/l assuming l is positive.
l**(-2229/7480)
Simplify j**(2/13)/(j*j/((j/(j*j/j**15))/j)*j*j)*j**6*j*j/(j*j**(-14/5))*j assuming j is positive.
j**(1297/65)
Simplify ((z**(-1/4))**(-2/11)*(z/z**(2/3))**(3/10))/(((z*z**0)/z)**(-2/33)/((z*z**(-1/3))/z**1)) assuming z is positive.
z**(-31/165)
Simplify ((i/(i*i**(-1)/i))/i*i)**41/(i*i*i**(-1))**9*i**6*i/i**(-3/2)*i**5*i**(-7/2) assuming i is positive.
i**83
Simplify ((((u*u*u**(-14/5)/u*u)/u)/u)/u**(-5/2)*u*u/(u/u**(-21/2))*u**(-33))**28 assuming u is positive.
u**(-5992/5)
Simplify (((g*g/(g/(g/(g**5/g)))*g)/g)/(g/((g*g**(-1/2)/g*g)/g)))/(g/(g*g**(-1/2))*g**1*g)*(g*g/(g**(-3/2)/g)*g/(g**4/g))**(-1/11) assuming g is positive.
g**(-137/22)
Simplify (g*(g/((g/((g/g**5)/g*g))/g)*g)/g)/(g*(g*g**0*g)/g)*(g**(2/3))**47*g*g**(-5)/g*(g**(-5/2)/g)/g*(g*g**(1/3))/(g*g**(-1/4)) assuming g is positive.
g**(221/12)
Simplify (y**(-7)/y*y/(y*y**(-1/5))*((y/(y*(y/(y*y*y*y**(-1)/y*y*y))/y*y))/y)**11)/((y**1)**(-4/5)/(y**(-1/2)/y)**11) assuming y is positive.
y**(-25/2)
Simplify ((t**1)**3)**(-47)*t**(1/7)/(t*t**(-3/2)*t)*t*t*t*t*t/((t/t**(-9))/t)*t*t*t**(5/4) assuming t is positive.
t**(-3979/28)
Simplify (u**(-1/2)*u/u**1*(u/u**(-4))/(u*u**0/u))/((u/u**1)**(-1/9))**(-1/26) assuming u is positive.
u**(9/2)
Simplify s*s/(s**(-7)/s)*s**(-3)*s**(1/3)*s*s**(-7)*s*(s/(s*s*s*s**2*s)*s)**(9/13)/(s**(-1/3)*s*s*(s**1/s)/s*s) assuming s is positive.
s**(-82/39)
Simplify (c**(-3/4)*c/(c**25*c)*c*c*c*c/((c*c*c/(c/c**17)*c)/c)*c*c**(-11))**(-50) assuming c is positive.
c**(5075/2)
Simplify (((s*s**9*s)/s)/(s**(2/33)/s))/(s**(-3/5)/s*s/(s/((s**(3/23)/s)/s)*s*s)) assuming s is positive.
s**(62272/3795)
Simplify ((w**(-1)*w*w/(w**15*w))/(w/(w**(4/7)*w*w))**(-1/45))**(-5/11) assuming w is positive.
w**(4736/693)
Simplify ((z/z**(-3/2)*z*z)**(-1/14))**(-1/36)*((z/(z*(z**(2/9)*z)/z*z))**(19/3))**(-2/65) assuming z is positive.
z**(48571/196560)
Simplify ((((l**0*l)/l)**(-2/13)*l/(l/(l*l*l**(-5)))*l*l**(4/5)*l)**32)**18 assuming l is positive.
l**(-576/5)
Simplify (((p*p**(-3))/p)**(-19)*p*((p/(p/(p/p**(5/4))))/p)/p*p/(p*p**(-6/7)))**27 assuming p is positive.
p**(42795/28)
Simplify (((n*n*n**(-8)/n*n*n)/n*n)/n*n**(-6/11)*n)**38*(n/(n/(n*n/(n*(n/(n/(n*n*(n**(-7)/n)/n*n)*n))/n)))*n**(-7))**(3/11) assuming n is positive.
n**(-2312/11)
Simplify ((((d**(1/2)/d)/d*d)/d*d)/((d/d**6*d*d)/d))**(1/26)/((d/(d*(d/d**1)/d*d))**(-2/29))**(13/5) assuming d is positive.
d**(7/52)
Simplify (i**(2/3)/i*i**(-5))**(4/7)*i**(3/4)*i*((i*i**(-3))/i)/i*i/i**(1/3)*i**(2/15) assuming i is positive.
i**(-1889/420)
Simplify (k**(2/15)/k**(-2))**(-23)*(k**(-1))**(13/3)/(k**(2/7))**(-2/23) assuming k is positive.
k**(-42967/805)
Simplify ((n**(2/5)/n)**39)**(-12)/((((n/(n*n**(-8)))/n)/n*n)/(n/(((n*n**(-1/15))/n)/n))*(n/((n/n**(8/7))/n))/(n*n**(3/4)*n)) assuming n is positive.
n**(116119/420)
Simplify (((s*s**(17/5))/(s*s/s**(2/27)))/(((s*s*s*s*s**3)/s)/s*s**33/s*s))**(2/43) assuming s is positive.
s**(-9592/5805)
Simplify (i**(-1/13)*i*i**(-18)*i*i/i**(-22)*i**18)**(-46) assuming i is positive.
i**(-14904/13)
Simplify ((i/(i**(-5)/i*i))/(i/i**(-2/19))*((i*(i/i**(-1))/i)/i)**(3/13))/((i/i**0*i*i)**(-20/3))**(-2/9) assuming i is positive.
i**(1514/2223)
Simplify ((j**(2/11))**(-37))**(-24)/((j/j**(-10))/j*j**(-4/7))**(-18) assuming j is positive.
j**(25500/77)
Simplify ((t*t**(2/3)*t)**(-45))**(-41)*(t/(t*t**(1/3))*t*t**(-2/5))/((t/(t/(t/(t/(t*t*t**(-3/10)*t))))*t*t)/t**(-7/4)) assuming t is positive.
t**(294829/60)
Simplify ((f/(f/f**10*f))/(f**21*f)*(f*f/f**(-1/13)*f*f)/(f*f**(-17)))**(10/7) assuming f is positive.
f**(920/91)
Simplify ((n**1)**(-13/3)*n**2/(n*n**(3/5)))/((n**0)**(-27/2)*n*(n*n**(1/9)*n*n)/n*n**(2/7)) assuming n is positive.
n**(-2309/315)
Simplify (j**(-3)/j**2)**10*(j**4*j*j**0/j*j)**(-25) assuming j is positive.
j**(-175)
Simplify (c**(-2/5))**(-40)*((c/(c**18*c))/c)**(-28) assuming c is positive.
c**548
Simplify (b*b*b*b*b*b/(b/b**(-1/5))*b**14*b)**(-3/11)*((b**(-2/19)/b)**35)**(1/10) assuming b is positive.
b**(-1761/190)
Simplify (z**(-1)/(z/z**(3/2))*(z**(-2/7)*z)**(2/9))/(((z**(1/3)/z)/z)**(-12)*(z**(-1)/z*z)**(-9)) assuming z is positive.
z**(-3697/126)
Simplify (k**19*k**(-2/17))/((k/k**(15/7)*k)/k*k/(k/(k*k**(-30)))) assuming k is positive.
k**(5834/119)
Simplify p**(4/3)*p*p*p**(-1/8)*p*(p/p**(-1)*p)**48*((p*p/p**(-1))**(-2/173))**49 assuming p is positive.
p**(608305/4152)
Simplify (((n/(n**22*n*n))/n**(-1/2))/((n**(4/13)/n*n)/(n**(1/19)*n)))**(3/13) assuming n is positive.
n**(-32241/6422)
Simplify (h/(h/(h**38/h)))**(-2/15)/(h/(h*h**(6/11)))**12 assuming h is positive.
h**(266/165)
Simplify (q**(3/7)/q**(3/8))/(q**(-7)*q**0)*(((q*(q/(((q/(q*q*q/(q/(q/q**(-2/3)))))/q)/q))/q)/q)**(-45))**29 assuming q is positive.
q**(-340645/56)
Simplify (((p**(4/9))**(-5/4))**(27/2))**(-46) assuming p is positive.
p**345
Simplify d**(1/5)*d**1*(d/d**(-7/6))**(1/12) assuming d is positive.
d**(497/360)
Simplify (((r**(-29))**(38/3))**(-45))**7 assuming r is positive.
r**115710
Simplify (((z*z**5/z)/z*z)/z*z**(-1/4)/z)**41*(z/(z*z**(-5)))/(z**(6/11)*z*z)*(z/z**0)**(-22) assuming z is positive.
z**(4101/44)
Simplify s**(-3/8)*s/(s*s**11*s*s)*s**(2/27)/(s*(s*(s**(6/13)*s)/s*s)/s) assuming s is positive.
s**(-44261/2808)
Simplify (d*d/d**(3/8))/d*d*d*d**0*d*d**(-2/9)*d**(2/5)*d*(d/d**(-2/5))**(-3/10)/(d**(1/4))**(14/3) assuming d is positive.
d**(5789/1800)
Simplify (k**(-2/41))**(-21)*(k/(((k**(-3/11)*k)/k)/k)*k)/k**(-17) assuming k is positive.
k**(9605/451)
Simplify (l**11/l**3)**(-49)/((l**(-2))**(-26)*(l/l**(-1/9)*l*l)/l*l*l*l**(-3)) assuming l is positive.
l**(-4006/9)
Simplify ((p**(4/21)/p*p*p)**(1/13)/(((p/(p/(p*p**(-11))*p))/p)/p)**(2/9))**(-46) assuming p is positive.
p**(-112286/819)
Simplify (v**7/(v**(4/15)/v)*(v/(v*v*v/v**11))/v**(-9/5))**(-1/3) assuming v is positive.
v**(-278/45)
Simplify j*j**(-2)*j/(j*j/(j**(3/10)/j)*j)*j*j/(j*j**4)*j*((j/(j*j/(j**(-6/5)*j)))/j)/j*j*(j**(-6 | {
"pile_set_name": "DM Mathematics"
} |
is the next term in -9894, -39552, -89074, -158532, -247998, -357544, -487242, -637164?
-807382
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-1902109
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-1080183
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302003
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330875
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107465
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973407
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869986
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351873389
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-935468
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-2389644
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-297148
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-132666
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896
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12496864
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355211
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-539459
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-126200
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1121198
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-943547641
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-27262203
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-102465463
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1203223
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-90485
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18951329
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739770
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-367766
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13433
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-411410
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26392
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15611275
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38690974
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-74842
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361398
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-2925277
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7912
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8092
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34
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-6373
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-381470
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-749560
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-3545
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131872
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589337
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-9865
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-16000455
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-1368685
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240899
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-7024866
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15196
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-1621184
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-199502414
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-7598650
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-210682
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-764004
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10482
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-179822
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-12829509
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8103
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1587
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-3483721
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-184438
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-281597
What comes next: 8600506, 17201006, 25801504, 34402000?
43002494
What is next in -98502, -197081, -295632, -394137, -492578?
-590937
What comes next: -2586068, -5172165, -7758262, -10344359, -12930456?
-15516553
What is next in 434, 1154, 2116, 3332, 4814, 6574, 8624?
10976
What is next in 35954, 71903, 107816, 143675, 179462?
215159
What is the next term in -5786, -18776, -40424, -70730, -109694?
-157316
What is next in 35802982, 35802988, 35803006, 35803042, 35803102, 35803192, 35803318?
35803486
What is next in -879, -2937, -6173, -10587, -16179, -22949?
-30897
What is the next term in -4821, -9997, -15173, -20349, -25525?
-30701
What is next in -70483, -70710, -71089, -71620?
-72303
What is the next term in 13761, 27786, 42349, 57720, 74169, 91966, 111381, 132684?
156145
What is the next term in 999, 1132, 1319, 1584, 1951?
2444
What is next in -7074710, -7074714, -7074718, -7074722, -7074726, -7074730?
-7074734
What is next in -3439, -3156, -2659, -1948, -1023?
116
What is the next term in 8562, 2537, -3492, -9525?
-15562
What comes next: 21924, 87165, 195900, 348129, 543852?
783069
What is next in -56696, -56491, -55924, -54809, -52960?
-50191
What is the next term in 3976735, 7953505, 11930291, 15907093, 19883911, 23860745?
27837595
What comes next: 158, 146, 102, 32, -58, -162, -274?
-388
What is next in 3513, 3609, 3769, 3993, 4281?
4633
What is the next term in -184, -1912, -6668, -15958, -31288?
-54164
What is next in 6538, 20698, 34862, 49030, 63202, 77378?
91558
What is next in 15316848, 15316852, 15316858, 15316866, 15316876, 15316888, 15316902?
15316918
What comes next: 4245, 12884, 30357, 61080, 109469, 179940, 276909?
404792
What comes next: 636, -8368, -36462, -93192, -188104?
-330744
What is the next term in -5898, -5620, -5342, -5064, -4786?
-4508
What is next in 5792322, 5792316, 5792304, 5792286, 5792262?
5792232
What comes next: 92239, 184410, 276523, 368578, 460575, 552514, 644395?
736218
What is the next term in 5122, 40895, 137966, 326983, 638594, 1103447, 1752190?
2615471
What is the next term in -1893, -7542, -16955, -30132, -47073, -67778, -92247?
-120480
What comes next: 3705, 4030, 4471, 5028, 5701, 6490?
7395
What is next in -123785378, -247570754, -371356130, -495141506?
-618926882
What is next in -33863, -33706, -33549, -33392, -33235?
-33078
What is next in -242072, -484126, -726184, -968246, -1210312?
-1452382
What is the next term in 1927, 3823, 5707, 7579, 9439, 11287?
13123
What comes next: 5109408, 5109405, 5109400, 5109393, 5109384, 5109373?
5109360
What is next in 2890882, 2891024, 2891154, 2891266, 2891354, 2891412, 2891434?
2891414
What is next in 611331, 610968, 610605, 610242, 609879, 609516?
609153
What is next in -59915075, -59915074, -59915073?
-59915072
What comes next: 171970, 343943, 515916, 687889, 859862, 1031835?
1203808
What comes next: -12852, -10494, -6566, -1068, 6000?
14638
What is next in 360653, 360701, 360781, 360893, 361037?
361213
What comes next: 1554959, 1554817, 1554675?
1554533
What is the next term in -77831, -77803, -77763, -77705, -77623?
-77511
What comes next: -521470, -521455, -521438, -521413, -521374, -521315, -521230, -521113?
-520958
What is the next term in 16821, 67116, 150559, 266838, 415641, 596656?
809571
What comes next: -39577, -158109, -355661, | {
"pile_set_name": "DM Mathematics"
} |
he highest common factor of 240 and 15000?
120
Calculate the highest common divisor of 861 and 6601.
287
What is the greatest common divisor of 630 and 75?
15
Calculate the greatest common divisor of 810 and 30.
30
Calculate the greatest common factor of 2547 and 117.
9
Calculate the greatest common divisor of 9 and 97668.
9
Calculate the highest common divisor of 6692 and 14.
14
Calculate the greatest common divisor of 415 and 4648.
83
What is the highest common factor of 717 and 33?
3
What is the greatest common divisor of 150 and 75?
75
What is the greatest common factor of 254 and 2159?
127
Calculate the highest common factor of 190 and 250.
10
What is the highest common divisor of 1242 and 18?
18
Calculate the highest common divisor of 81 and 1044.
9
Calculate the greatest common divisor of 26559 and 13.
13
Calculate the highest common factor of 210 and 588.
42
Calculate the greatest common divisor of 282 and 114.
6
What is the highest common factor of 292 and 16?
4
Calculate the greatest common factor of 42 and 120.
6
What is the highest common divisor of 190 and 10?
10
Calculate the highest common factor of 2360 and 120.
40
What is the greatest common factor of 4 and 38?
2
Calculate the greatest common factor of 78 and 104.
26
Calculate the highest common divisor of 1368 and 288.
72
Calculate the greatest common factor of 66 and 48.
6
Calculate the greatest common factor of 3885 and 70.
35
Calculate the highest common divisor of 105 and 280.
35
What is the greatest common factor of 2312 and 119?
17
What is the greatest common divisor of 2553 and 259?
37
Calculate the greatest common factor of 14415 and 620.
155
Calculate the greatest common factor of 30240 and 252.
252
Calculate the greatest common factor of 223 and 669.
223
Calculate the highest common divisor of 91 and 182.
91
What is the greatest common factor of 240 and 195?
15
What is the greatest common factor of 27 and 267?
3
What is the highest common divisor of 2460 and 574?
82
What is the highest common factor of 4 and 132?
4
Calculate the greatest common factor of 23 and 4117.
23
What is the highest common factor of 224 and 196?
28
Calculate the highest common factor of 96 and 32.
32
What is the highest common factor of 180 and 16?
4
What is the highest common factor of 19194 and 21?
21
What is the greatest common divisor of 80 and 120?
40
What is the greatest common factor of 318 and 42?
6
Calculate the highest common divisor of 14 and 22.
2
What is the highest common factor of 531 and 18?
9
What is the highest common divisor of 35 and 95?
5
What is the greatest common divisor of 104 and 8?
8
What is the highest common divisor of 1707 and 9?
3
What is the highest common divisor of 2546 and 38?
38
Calculate the greatest common factor of 440 and 176.
88
Calculate the highest common factor of 7448 and 19.
19
Calculate the greatest common factor of 27510 and 20.
10
What is the greatest common factor of 4 and 192?
4
Calculate the highest common divisor of 15 and 105.
15
What is the greatest common divisor of 175 and 2520?
35
What is the highest common divisor of 1090 and 10?
10
Calculate the highest common factor of 237 and 16827.
237
What is the highest common factor of 12 and 7482?
6
What is the highest common divisor of 308 and 429?
11
Calculate the highest common divisor of 138 and 483.
69
Calculate the greatest common factor of 63 and 54.
9
What is the greatest common factor of 3953 and 134?
67
Calculate the greatest common divisor of 6413 and 121.
121
What is the greatest common divisor of 80 and 95?
5
Calculate the highest common divisor of 204 and 2516.
68
What is the greatest common divisor of 585 and 1053?
117
Calculate the greatest common divisor of 1176 and 48.
24
Calculate the highest common factor of 336 and 896.
112
Calculate the highest common divisor of 169 and 1209.
13
Calculate the greatest common divisor of 40 and 6970.
10
Calculate the greatest common factor of 362 and 42173.
181
What is the greatest common factor of 5 and 2615?
5
Calculate the highest common factor of 48 and 1200.
48
What is the highest common divisor of 473 and 136697?
473
What is the greatest common factor of 6454 and 98?
14
What is the greatest common factor of 145 and 464?
29
Calculate the highest common factor of 13 and 112.
1
Calculate the greatest common factor of 77 and 693.
77
What is the greatest common divisor of 21 and 7?
7
Calculate the greatest common factor of 14 and 2962.
2
Calculate the greatest common divisor of 1293 and 36.
3
What is the highest common divisor of 427 and 511?
7
Calculate the greatest common divisor of 30 and 735.
15
Calculate the greatest common divisor of 4194 and 90.
18
What is the highest common factor of 1818 and 5656?
202
Calculate the greatest common factor of 42511 and 7.
7
What is the highest common factor of 125 and 1?
1
Calculate the greatest common factor of 8 and 28.
4
Calculate the greatest common divisor of 585 and 315.
45
Calculate the greatest common factor of 186 and 7502.
62
What is the greatest common factor of 4576 and 1287?
143
What is the greatest common factor of 21 and 49?
7
Calculate the highest common factor of 460 and 782.
46
What is the highest common divisor of 520 and 40?
40
Calculate the greatest common factor of 7612 and 11.
11
Calculate the highest common factor of 37 and 1.
1
Calculate the greatest common divisor of 656 and 902.
82
What is the highest common divisor of 425 and 340?
85
Calculate the highest common divisor of 105 and 35.
35
Calculate the greatest common divisor of 1957 and 206.
103
What is the highest common divisor of 280 and 315?
35
Calculate the greatest common factor of 147 and 21.
21
Calculate the greatest common divisor of 23 and 97.
1
Calculate the highest common divisor of 1290 and 20.
10
What is the highest common divisor of 715 and 104?
13
Calculate the highest common factor of 3336 and 16.
8
Calculate the highest common factor of 17 and 24701.
17
Calculate the highest common divisor of 2097 and 233.
233
Calculate the highest common divisor of 156 and 3822.
78
What is the highest common factor of 294 and 399?
21
What is the highest common divisor of 66 and 888?
6
What is the greatest common factor of 2700 and 440?
20
Calculate the highest common divisor of 35 and 30.
5
What is the greatest common divisor of 141977 and 11?
11
Calculate the greatest common factor of 1640 and 135.
5
Calculate the highest common divisor of 2962 and 2.
2
What is the highest common divisor of 836 and 11?
11
What is the highest common factor of 2 and 37?
1
Calculate the highest common factor of 11 and 24233.
11
What is the greatest common divisor of 108 and 31212?
108
Calculate the greatest common divisor of 640 and 32.
32
What is the highest common divisor of 234 and 1248?
78
What is the greatest common factor of 23 and 2461?
23
Calculate the highest common divisor of 798 and 42.
42
What is the highest common divisor of 708 and 1356?
12
What is the greatest common divisor of 990 and 30?
30
What is the greatest common factor of 459 and 54?
27
What is the highest common factor of 99 and 132?
33
Calculate the highest common factor of 29 and 551.
29
What is the highest common factor of 20 and 310?
10
Calculate the greatest common factor of 1147 and 333.
37
What is the highest common divisor of 288 and 252?
36
What is the highest common factor of 531 and 4425?
177
Calculate the highest common factor of 31 and 18.
1
What is the greatest common factor of 649 and 22?
11
Calculate the highest common factor of 6902 and 952.
238
Calculate the greatest common divisor of 54 and 459.
27
Calculate the greatest common factor of 132 and 12.
12
Calculate the greatest common factor of 13 and 65.
13
Calculate the greatest common divisor of 776 and 14550.
194
What is the greatest common factor of 402 and 1474?
134
Calculate the greatest common factor of 288 and 7416.
72
Calculate the highest common divisor of 285 and 3.
3
Calculate the greatest common divisor of 8 and 1912.
8
Calculate the highest common factor of 277 and 8864.
277
What is the highest common divisor of 368 and 704?
16
What is the highest common divisor of 260 and 1378?
26
What is the highest common factor of 3204 and 72?
36
Calculate the highest common divisor of 6240 a | {
"pile_set_name": "DM Mathematics"
} |
4/16 + 11*y**3/8 + 39*y**2/4 + 11*y - 1. Suppose l(p) = 0. Calculate p.
-2, 13
Let u be -5 + 196/76 + -2 + 4. Let c = u + 62/57. Suppose -8/3*h + c - 10/3*h**2 = 0. Calculate h.
-1, 1/5
Let h(l) be the second derivative of -l**7/147 + 6*l**6/35 - 29*l**5/35 + 4*l**4/7 + 59*l**3/21 - 6*l**2 + 854*l. Determine n, given that h(n) = 0.
-1, 1, 3, 14
Let s(r) = -r**3 + r - 2. Let c(f) = 8*f**3 - 28*f**2 - 95*f - 26. Let o(m) = -2*c(m) - 6*s(m). Factor o(v).
-2*(v - 8)*(v + 2)*(5*v + 2)
Suppose 0 = -4*d + 30 - 10. Factor 7*f**2 - d*f - 3*f**2 - 11*f + 4*f.
4*f*(f - 3)
Let p(t) be the third derivative of 11*t**8/8064 + t**7/84 + t**6/72 - 29*t**5/30 + 10*t**2 + 2. Let b(m) be the third derivative of p(m). Factor b(z).
5*(z + 2)*(11*z + 2)/2
Let q be (-190)/(-12) - 6/(-36). Find o, given that 14*o**4 - 15*o**3 + 6*o**2 - 2*o**4 - q - 3*o**5 + 16 = 0.
0, 1, 2
Let z be ((-4)/6)/(10/(-45)). Factor -3*d**4 + d**5 - 2*d**4 - 2*d**3 + z*d**5 + 3*d**3.
d**3*(d - 1)*(4*d - 1)
Suppose h + 11*h = 900. Factor -t**2 - 9*t**2 - 5*t**5 - h*t**4 - 8*t**3 + 55*t**4 - 17*t**3.
-5*t**2*(t + 1)**2*(t + 2)
Let s(o) be the first derivative of -o**9/5292 - o**8/2940 + o**7/1470 + o**6/630 - 10*o**3/3 - 1. Let f(w) be the third derivative of s(w). Factor f(q).
-4*q**2*(q - 1)*(q + 1)**2/7
Let p(s) = -s**2 + s - 1. Let y(f) be the first derivative of -20*f**3/3 + 10*f**2 - 16*f + 10. Let r(u) = 16*p(u) - y(u). Factor r(d).
4*d*(d - 1)
Factor -g**4 - 2*g**4 + 5*g**4 - 27*g**2 - 20*g + 8*g**3 + 21*g**2 + 16.
2*(g - 1)**2*(g + 2)*(g + 4)
Let p = 2 + -5. Let v be 80/84 + 1/p*2. Find w such that -2/7*w**2 + 1/7*w**5 + 3/7*w**4 + v*w**3 - 3/7*w - 1/7 = 0.
-1, 1
Let v = 7625 - 114367/15. Find m, given that -v*m - 2/15*m**2 - 8/15 = 0.
-2
Factor c + 0*c**3 + 5*c**3 + 73 - 159 + 76 - 16*c.
5*(c - 2)*(c + 1)**2
Let g(y) be the third derivative of 0 + 0*y**4 + 0*y + 0*y**3 + 1/300*y**5 + 29*y**2 - 1/600*y**6. Factor g(m).
-m**2*(m - 1)/5
Suppose 72 = -h + 10*h + 27. Find u such that -4*u**3 + 4/5 - 1/5*u**4 + 6/5*u**h - 9/5*u**2 + 8/5*u = 0.
-1, -1/2, 2/3, 2
Let g be (-2)/(-21)*(7 - 4). Suppose -3*t + 10*t = -8*t. Suppose g*y - 5/7*y**3 + 1/7*y**4 + t + 3/7*y**5 - 1/7*y**2 = 0. Calculate y.
-1, 0, 2/3, 1
Let p(t) be the third derivative of t**7/2100 + t**6/300 + t**5/150 + t**3/3 + 5*t**2. Let r(w) be the first derivative of p(w). Factor r(x).
2*x*(x + 1)*(x + 2)/5
Let r(i) be the second derivative of i**6/15 + 3*i**5/5 + 4*i**4/3 + 134*i + 2. Determine z so that r(z) = 0.
-4, -2, 0
Let t(w) be the third derivative of w**8/4480 + w**7/280 + w**6/40 + w**5/10 + 13*w**4/24 - 24*w**2. Let s(g) be the second derivative of t(g). Factor s(q).
3*(q + 2)**3/2
Let k(a) = 5*a + 2. Let r be k(6). What is g in 120*g - 45 + g**2 + 4*g**2 + 80*g**4 - 88*g**3 - r*g**3 - 40*g**2 = 0?
-1, 3/4, 1
Suppose 5*o = 5*i + 165, 2*o - 3*i + 18 - 82 = 0. Let l = o - 33. Factor -9/2*m**5 + 0*m + 3/2*m**3 + 0 + 3*m**l - 6*m**4.
-3*m**2*(m + 1)**2*(3*m - 2)/2
Suppose 30*t - 219 - 51 = 0. Let o(x) be the third derivative of -1/330*x**5 + 1/33*x**4 + 0*x + 0 - 1/11*x**3 - t*x**2. Let o(f) = 0. What is f?
1, 3
Let p = 7492/3 + -2497. Determine b, given that -p - 1/3*b**3 + 1/3*b + 1/3*b**2 = 0.
-1, 1
Let h = 184 + -184. Determine g so that 3*g + 3/4*g**3 + 3*g**2 + h = 0.
-2, 0
Solve -18 - q**4 + 35*q**2 - 28 + 2*q**4 - 12*q + 12*q**3 + 10 = 0 for q.
-6, -1, 1
Let a(m) be the first derivative of -4/5*m**5 + 4/3*m**3 + 0*m + 2*m**2 - 12 - m**4. Factor a(o).
-4*o*(o - 1)*(o + 1)**2
Let m(b) be the third derivative of b**6/120 + b**5/5 + 7*b**4/8 - 49*b**3/3 - 55*b**2. Solve m(s) = 0 for s.
-7, 2
Suppose 3*z = -3*d + 24, 3*d + 20 = -2*z + 3*z. Solve 6*g**2 - z*g + 0*g**2 - 5*g**2 - 2*g**2 - 10 = 0 for g.
-10, -1
Let i(o) be the first derivative of -2*o**6/3 + 8*o**5 - 32*o**4 + 128*o**3/3 - 22. Let i(p) = 0. Calculate p.
0, 2, 4
Let v(m) be the first derivative of m**6/51 + 16*m**5/85 + 6*m**4/17 - 36*m**3/17 - 189*m**2/17 - 324*m/17 - 251. Determine s, given that v(s) = 0.
-3, -2, 3
Let y = -23 - -18. Let q(b) = 9*b**3 - 3*b**2 + 4*b - 5. Let n(f) = -10*f**3 + 2*f**2 - 4*f + 6. Let u(g) = y*n(g) - 6*q(g). Solve u(z) = 0 for z.
0, 1
Let q(n) = n**2 - n + 7. Let m(g) = -2 + 10 - g - 9. Let t(z) = -15*m(z) - 5*q(z). Factor t(b).
-5*(b - 2)**2
Let i(l) be the second derivative of -2*l**6/5 + l**5 - 2*l**4 + 4*l**2 - 19*l. Let j(t) = t**4 + t**3 - 1. Let z(g) = i(g) + 8*j(g). Factor z(d).
-4*d**2*(d - 6)*(d - 1)
Suppose 5*v = 7*v - 2*u, 0 = -4*v - u + 15. Let b(y) be the first derivative of -y**2 + 1/2*y**4 + 0*y - 2 + 0*y**v. Suppose b(s) = 0. Calculate s.
-1, 0, 1
Let o(d) be the second derivative of -d**4/3 - 20*d**3/3 - 18*d**2 + 25*d. Determine p so that o(p) = 0.
-9, -1
Suppose -6*y + 16*y - 120 = 0. Let u be y/7 + 8/28. Factor 9/5*p + 21/5*p**3 - 36/5*p**u + 6/5.
3*(p - 1)**2*(7*p + 2)/5
Solve 0 - 2/7*g**4 - 26/7*g**2 + 4*g**3 + 0*g = 0 for g.
0, 1, 13
Let d = -38 + 41. Factor -26*j**4 + 13*j**5 - d*j**5 - 12*j**3 - 12 + 12.
2*j**3*(j - 3)*(5*j + 2)
Let w be (-78)/15*250/(-60). Let u = -194/9 + w. Solve u*q**4 + 0 + 4/9*q**3 + 2/9*q + 5/9*q**2 = 0 for q.
-2, -1, 0
Let k(x) be the first derivative of 6*x**2 + 0*x**3 + 14 + 0*x - 9/4*x**4 - 3/5*x**5. Determine w so that k(w) = 0.
-2, 0, 1
Suppose 4*i = 2*r - 2, -r = i - 0*i - 7. Factor -43*s - 63*s**2 + 99*s**i + 108 - 4*s**3 - 65*s.
-4*(s - 3)**3
Let j(d) be the third derivative of d**6/600 - 11*d**5/300 + d**4/4 - 55*d**2 + 2*d. Factor j(m).
m*(m - 6)*(m - 5)/5
Let g(i) = -2*i**3 - 11*i**2 - i - 14. Let n be g(-6). What is a in 5*a**2 + 7*a**2 + 4*a**2 - 12*a**2 - n*a = 0?
0, 7
Factor -4*p**2 - 8*p + 0 - 1/2*p**3.
-p*(p + 4)**2/2
Let s be (-1 + (-13)/(-5))/(24/60). Let v(g) be the third derivative of 0 - 1/84*g**6 - 19/28*g**s - 16/105*g**5 - 6/7*g**3 + 0*g - 6*g**2. Factor v(w).
-2*(w + 3)**2*(5*w + 2)/7
Let r(l) be the first derivative of 4/15*l**3 + 1/5*l**4 - 4/5*l**2 + 0*l - 37. Factor r(s).
4*s*(s - 1)*(s + 2)/5
Factor 414*m - 3/4*m**2 - 57132.
-3*(m - 276)**2/4
Let a = 9409/105 - 448/5. Let w(j) be the second derivative of 0 + 0*j**2 - 8*j + 0*j**3 + 0*j**5 + 0*j**4 + a*j**6. Factor w(l).
2*l**4/7
Let h be 4*1*2/4. Factor -12*l - 6*l**2 - l**2 + 9 + 10*l**h.
3*(l - 3)*(l - 1)
Let 7*v - 5*v - 3*v**3 + v**5 - v**2 + 20*v**4 - 19*v**4 = 0. What is v?
-2, -1, 0, 1
Let v be (-221)/102 - 22/(-6). Let i(p) = p**2 - 2. Let z be i(-2). Factor -v*x**z + 3*x - 3/2.
-3*(x - 1)**2/2
Let y(c) be the third derivative of -1/6*c**3 + 0*c + 7/360*c**6 + 0 + 1/72*c**4 + 11/180*c**5 - 20*c**2. Determine m, given that y(m) = 0.
-1, 3/7
Let w be (3*3/24)/(72/48). Factor w*m**2 + 1/4*m**4 + 1/2*m**3 + 0*m + 0.
m**2*(m + 1)**2/4
Let i(d) be the third derivative of 1/210*d**7 + 3*d**2 + 1/540*d**5 - 7/360*d**6 + 1/24*d**4 + 1/27*d**3 + 0*d + 0. Factor i(y).
(y - 2)*(y - 1)*(3*y + 1)**2/9
Let l(p) be the third derivative of 2/9*p**4 + 0 + 0*p + 2/15*p**5 + 2/315*p**7 + 2/45*p**6 + 11*p**2 + 2/9*p**3. Solve l(v) = 0 for v.
-1
Let i = -253 + 393. Solve i*q**4 - 5*q**2 - 7*q**2 + 73*q**3 + 28*q**2 + 23*q**3 = 0.
-2/5, -2/7, 0
Let j(p) = -9*p**3 + 181*p**2 - 172*p + 5. Let z(k) = 28*k**3 - 544*k**2 + 516*k - 16. Let g(s) = -16*j(s) - 5*z(s). Factor g(b).
4*b*(b - 43)*(b - 1)
Let y = 8 + 26. What is m in -9*m**3 + y*m**4 - 6*m**2 - 75*m**4 + 38*m**4 = 0?
-2, -1, 0
Let u(o) be the first derivative of o**5/5 - o**4/4 - 2*o**3 + 2*o**2 + 8*o + 92. Factor u(n).
(n - 2)**2*(n + 1)*(n + 2)
Let m(d) be the third derivative of 0 + 0*d + 1/240*d**5 + 7/48*d**4 + 49/24*d**3 + 9*d**2. Suppose m(a) = 0. Calculate a.
-7
Suppose 0 - 5/4*y**2 + 27/4*y = 0. What is y?
0, 27/5
Let j be 112/((-42)/(-54) - 1). Let o be (140/j)/(5/(-3)). Factor -1/3 + 1/6*m**2 - o*m.
(m - 2)*(m + 1)/6
Factor 0 + 1/2*x**2 - 21/2*x.
x*(x - 21)/2
Let c(v) be the third derivative of -v**8/10080 + v**7/630 - v**6/90 - 7*v**5/15 - 46*v**2. Let i(r) be the third derivative of c(r). Factor i(p).
-2*(p - 2)**2
Suppose 74 = -4*v - 246. Let t be v/28*49/(-42). Find c such that 0 + 0*c + t*c**3 + 0*c**2 - 5/3*c**4 = 0.
0, 2
Let d be 2/4*42/7. Let u be -2*d*6/(-4). Solve -2*w**3 - 6*w**2 + 2*w**3 - 2*w**3 - u*w + 6*w**4 + 11*w = 0.
-1, 0, 1/3, 1
Let v be -6 - ((-2436)/133)/6*2. Factor -8/19*x**2 + 0 + v*x**3 + 8/19*x.
2*x*(x - 2)**2/19
| {
"pile_set_name": "DM Mathematics"
} |
464024480000000
How many hours are there in three eighths of a day?
9
Convert 67382.76 tonnes to micrograms.
67382760000000000
How many nanoseconds are there in 15352.64 minutes?
921158400000000
Convert 13518.36108 nanoseconds to weeks.
0.0000000000223517875
Convert 75513.36 decades to months.
9061603.2
What is 20.53442km in centimeters?
2053442
What is twenty-one quarters of a gram in milligrams?
5250
What is 213.4524nm in kilometers?
0.0000000002134524
Convert 21.21425 millilitres to litres.
0.02121425
What is fifty-five sixths of a hour in seconds?
33000
How many meters are there in 27/2 of a kilometer?
13500
What is three fifths of a day in seconds?
51840
Convert 57810.71km to nanometers.
57810710000000000
What is 316492.7 grams in milligrams?
316492700
What is 3/32 of a gram in micrograms?
93750
What is one fifth of a decade in years?
2
Convert 178814.2g to tonnes.
0.1788142
How many micrometers are there in 3/40 of a meter?
75000
What is 51/5 of a day in minutes?
14688
Convert 0.2644961kg to nanograms.
264496100000
What is 7/6 of a century in months?
1400
How many millimeters are there in eleven quarters of a meter?
2750
What is 18/5 of a litre in millilitres?
3600
How many millennia are there in 2.427762 months?
0.0002023135
Convert 801.0242 centimeters to millimeters.
8010.242
How many meters are there in 37/2 of a kilometer?
18500
What is 13/5 of a litre in millilitres?
2600
Convert 4688.587cm to meters.
46.88587
What is 99858.5 years in millennia?
99.8585
How many nanograms are there in 27/5 of a microgram?
5400
How many millilitres are there in 75/4 of a litre?
18750
What is 364.8632 nanograms in tonnes?
0.0000000000003648632
What is 1/5 of a centimeter in millimeters?
2
What is 23.33552t in kilograms?
23335.52
What is 55/2 of a litre in millilitres?
27500
What is 28/9 of a day in minutes?
4480
How many litres are there in 5.310111ml?
0.005310111
What is three fifths of a centimeter in micrometers?
6000
How many hours are there in 4.9941279 nanoseconds?
0.00000000000138725775
How many months are there in twenty-nine thirds of a year?
116
How many nanograms are there in 11/4 of a microgram?
2750
How many months are there in 106.6622 decades?
12799.464
What is twenty-six fifths of a kilogram in grams?
5200
What is 88668.43 centuries in months?
106402116
How many nanograms are there in one tenth of a microgram?
100
Convert 6735.394 kilometers to nanometers.
6735394000000000
How many months are there in 2/15 of a century?
160
How many years are there in 6.201093 decades?
62.01093
Convert 1.434444 millilitres to litres.
0.001434444
What is 18/5 of a litre in millilitres?
3600
How many millilitres are there in 7/8 of a litre?
875
Convert 4488.081 grams to nanograms.
4488081000000
What is 960.8811 years in months?
11530.5732
How many kilometers are there in 267.8459um?
0.0000002678459
What is 2/15 of a millennium in months?
1600
Convert 55.3348 grams to milligrams.
55334.8
What is 27/5 of a hour in minutes?
324
How many months are there in 37.71386 millennia?
452566.32
How many decades are there in 92491.46 centuries?
924914.6
How many seconds are there in 20.31407 days?
1755135.648
Convert 0.5949818ml to litres.
0.0005949818
How many micrometers are there in 0.4278844cm?
4278.844
What is 48298.55ug in nanograms?
48298550
What is nine tenths of a millennium in years?
900
How many hours are there in thirty-one halves of a week?
2604
What is 1/5 of a kilometer in centimeters?
20000
Convert 9.641119 litres to millilitres.
9641.119
How many micrometers are there in 1/5 of a millimeter?
200
How many centuries are there in 1/10 of a millennium?
1
How many months are there in 1/10 of a decade?
12
Convert 0.9819568 millennia to months.
11783.4816
How many nanoseconds are there in 50.72186 weeks?
30676580928000000
What is 12/25 of a litre in millilitres?
480
What is 7.0208577s in hours?
0.00195023825
What is 27/2 of a millimeter in micrometers?
13500
Convert 853778.7t to milligrams.
853778700000000
What is fourty-nine quarters of a microgram in nanograms?
12250
How many micrograms are there in 7/8 of a milligram?
875
How many millimeters are there in 85/4 of a meter?
21250
How many tonnes are there in 170185.4ug?
0.0000001701854
Convert 113125.74 months to centuries.
94.27145
Convert 558.8964 centimeters to millimeters.
5588.964
What is 27/5 of a microgram in nanograms?
5400
How many litres are there in 22318.43ml?
22.31843
How many decades are there in three fifths of a century?
6
Convert 9.908909kg to nanograms.
9908909000000
How many hours are there in 811.23759us?
0.000000225343775
Convert 176.8122 seconds to days.
0.0020464375
How many minutes are there in seven quarters of a day?
2520
What is twelve sevenths of a week in hours?
288
How many centuries are there in 3420.791 decades?
342.0791
What is 31/2 of a decade in years?
155
How many millimeters are there in 29/2 of a meter?
14500
Convert 33397.8kg to tonnes.
33.3978
How many tonnes are there in 443.677 micrograms?
0.000000000443677
Convert 4875.181l to millilitres.
4875181
How many micrograms are there in 0.3603033 nanograms?
0.0003603033
How many millilitres are there in thirteen eighths of a litre?
1625
How many millennia are there in 0.5917746 years?
0.0005917746
How many kilograms are there in 0.4846625t?
484.6625
What is twenty-one fifths of a week in minutes?
42336
How many micrometers are there in 3/32 of a meter?
93750
How many decades are there in 1.987104 centuries?
19.87104
How many millilitres are there in fifty-nine quarters of a litre?
14750
What is 79.89608 millilitres in litres?
0.07989608
What is 1/4 of a tonne in kilograms?
250
What is 942803.631us in weeks?
0.0000015588684375
How many decades are there in eleven tenths of a millennium?
110
What is 71/4 of a millennium in years?
17750
What is three tenths of a tonne in kilograms?
300
Convert 6067.908 kilograms to grams.
6067908
Convert 0.4343657 kilograms to micrograms.
434365700
Convert 454936.1 milligrams to grams.
454.9361
What is seventeen quarters of a milligram in micrograms?
4250
Convert 50.80657 litres to millilitres.
50806.57
What is 4.23845 nanograms in tonnes?
0.00000000000000423845
Convert 5.968451g to micrograms.
5968451
What is seven quarters of a litre in millilitres?
1750
What is 104.97741 months in millennia?
0.0087481175
What is 0.5768471 centuries in decades?
5.768471
How many grams are there in 3/40 of a tonne?
75000
How many minutes are there in 24.828366 microseconds?
0.0000004138061
How many tonnes are there in 12.69287 milligrams?
0.00000001269287
How many millilitres are there in eighteen fifths of a litre?
3600
What is 21/8 of a milligram in micrograms?
2625
What is three fifths of a millennium in years?
600
What is 3/10 of a tonne in kilograms?
300
What is 11019.68 millimeters in micrometers?
11019680
How many months are there in sixty-five thirds of a year?
260
How many millilitres are there in 17/4 of a litre?
4250
How many millimeters are there in one fifth of a meter?
200
How many micrograms are there in 50210.3t?
50210300000000000
What is fourty-four fifths of a micrometer in nanometers?
8800
How many tonnes are there in 7116.262 milligrams?
0.000007116262
How many months are there in 29/3 of a year?
116
How many litres are there in 446.2131 millilitres?
0.4462131
How many millilitres are there in seven halves of a litre?
3500
What is twenty-five halves of a century in years?
1250
How many micrometers are there in 0.516109 nanometers?
0.000516109
What is 0.371293mg in kilograms?
0.000000371293
Convert 1322.5659 months to centuries.
1.10213825
How many seconds are there in one ninth of a hour?
400
Convert 343744.9 litres to millilitres.
343744900
Convert 606.5854 nanograms to tonnes.
0.0000000000006065854
Convert 0.2106421ns to seconds.
0.0000000002106421
How many millilitres are there in twenty-seven halves of a litre?
13500
What is 0.8247247 micrometers in millimeters?
0.0008247247
How many millilitres are there in seven quarters of a litre?
1750
What is 3694.771l in millilitres?
3694771
Convert 0.7298938 millennia to months.
8758.7256
How many milligrams are there in 9.07185 micrograms?
0.00907185
Convert 840.8636 years to millennia.
0.8408636
How many milligrams are there in twenty | {
"pile_set_name": "DM Mathematics"
} |
w + 11/4. Sort -1/5, a, 0 in increasing order.
a, -1/5, 0
Let f(c) = c**3 + 6*c**2 - 5*c + 11. Let w be f(-7). Sort 6, -5, w, -0.2 in descending order.
6, -0.2, w, -5
Suppose -3*k + 17 - 2 = 0. Suppose 0*x + 2*x = -6, 0 = 2*m - k*x - 9. Put 2, -1, m in ascending order.
m, -1, 2
Let r = 3.3 + -3. Let a = r - 0.3. Put a, -0.3, -0.4 in descending order.
a, -0.3, -0.4
Suppose -3*l + 6*l = -x + 11, 0 = 2*x + 3*l - 7. Suppose 2*q - 3*q + 4 = 0. Sort 1, x, q.
x, 1, q
Suppose 0 = -5*g - 4 - 1. Let i = g - -4/5. Sort 3, 1, i in descending order.
3, 1, i
Let t = 82 - 86. Sort t, 5, 7 in ascending order.
t, 5, 7
Suppose -4*o + 1 = 29. Let l be (-19)/o + 2/7. Let b be (2/7)/(1 - l). Put b, -2/11, -2 in descending order.
b, -2/11, -2
Let f = 81 + -84. Sort -0.2, 2/7, f, 0.5 in ascending order.
f, -0.2, 2/7, 0.5
Let x(f) = -f**2 - 4*f. Let o be x(-3). Let c be 0 - o*(-3)/3. Put 4, -4/3, c in increasing order.
-4/3, c, 4
Let m(h) = -h**3 - 9*h**2 - h - 6. Let j be m(-9). Put j, 4, -3 in ascending order.
-3, j, 4
Let o be (-8)/(-6) - 254/6. Put 5, 4, o in descending order.
5, 4, o
Let l = -1 - 4. Let f = l + 0. Put 3, f, -2 in descending order.
3, -2, f
Let f = -0.25 + 0.05. Sort -1/3, 4, f in decreasing order.
4, f, -1/3
Let d be 3/(-2) - (-7)/2. Put -4, d, 3 in decreasing order.
3, d, -4
Let c = -5 + 11. Let i(k) = k**2 + 8*k - 12. Let a be i(-9). Put a, c, -1 in decreasing order.
c, -1, a
Let j = -1/32 - 27/160. Let d = j - -3/5. Sort d, -12, -2/7 in ascending order.
-12, -2/7, d
Let i = -0.02 + -0.58. Let y = i + 0.6. Let q = y - 1. Put 1/7, q, 2 in decreasing order.
2, 1/7, q
Let x(b) = -b**3 + 7*b**2 + 8*b - 1. Let z be x(8). Sort 5, z, -6.
-6, z, 5
Let f(p) = p + 4. Let v be f(0). Suppose 0 = -3*u - v - 2. Let b = u + -1. Put 4, b, -1 in decreasing order.
4, -1, b
Suppose -3*c + 2*j + 11 = 0, 0*c + 4*c = -3*j + 26. Let v(q) = 2 + 1 + 4*q + 4*q**2 - 3*q**2. Let z be v(-4). Sort z, 0, c in decreasing order.
c, z, 0
Let u(n) = n**3 + 4*n**2 + 5*n + 1. Let d(v) = 2*v**3 + 7*v**2 + 9*v + 3. Let g(b) = -4*d(b) + 7*u(b). Let h be g(0). Let c be (4/55)/(2/h). Sort -1, c, -3.
-3, -1, c
Suppose -2*s = h - 333, 3*s = h + h + 496. Let m be 4/(-12) - s/6. Let a be 11/m + 2/8. Sort -0.1, a, -0.2.
-0.2, a, -0.1
Let i = 7 - 2. Suppose 0 = 4*n + 1 - i. Sort 2, -2, n in decreasing order.
2, n, -2
Suppose -23 = -s - 22. Put s, 5, 0, -1 in increasing order.
-1, 0, s, 5
Suppose q - 2 = -3. Let h be 6/80 - 5/25. Sort h, q, 0 in descending order.
0, h, q
Let u = 27 - 15. Let z be (22/8)/(3/u). Suppose 2*i + z - 3 = 0. Sort i, 0, 4.
i, 0, 4
Let l = -2.6 + -0.4. Let r = -1.4 + 1. Let w = 25 - 27. Sort w, r, l in descending order.
r, w, l
Suppose 2*b - 6 = -q, 0 = 3*b - 8*b - 2*q + 15. Suppose 4*a + 5*f - 5 = 0, -5*f = a - 10 - 10. Let g = 1 + -3. Put b, g, a in descending order.
b, g, a
Let k(f) = f - 4. Let u be k(4). Suppose -q - 4 = -u. Suppose 2 = -4*g + 6. Put 2, q, g in ascending order.
q, g, 2
Let m = 23 - 17. Put m, -2, -3 in ascending order.
-3, -2, m
Let j be (-14)/(-18) - 14/(-63). Let g = j - -4. Sort g, 4, 1.
1, 4, g
Let s = -4.5 - 0.5. Let y = 9 + -6. Sort s, -4, y.
s, -4, y
Let d = -0.55 + 3.55. Let l be (-74)/10*33/(-387). Let w = -4/129 + l. Put d, 4, w in increasing order.
w, d, 4
Let z = 27.1 - 26. Let j = -0.1 + z. Put -4, j, 2/3 in decreasing order.
j, 2/3, -4
Let h be (-54)/(-180) + (-2)/(-10). Put -4/7, -5, h in ascending order.
-5, -4/7, h
Let x = 0.5 - 0.1. Let u = 2 + 3. Sort x, u, 4.
x, 4, u
Suppose -c - 2*c - 12 = 0. Sort 0, -5, c in increasing order.
-5, c, 0
Suppose 7*i - 3*i = 12. Suppose 6 + 18 = -4*r. Let z be (3/(-13))/(r/4). Put 0.2, z, i in descending order.
i, 0.2, z
Let z(s) = -s**2 - 4*s - 3. Let y be z(-3). Suppose 0 = -2*i + 3*u - 2, -4*u - 2 = -5*i - y*u. Suppose i*g + 0*g = 0. Sort -0.2, g, 3/4 in descending order.
3/4, g, -0.2
Let t(p) = p**3 - 9*p**2 + 8*p - 4. Let v be t(8). Sort -9, 0, v in descending order.
0, v, -9
Let l(o) = -o**3 - 7*o**2 - 5*o + 8. Let h be l(-6). Suppose h = p, 2*n - 3*p = 4 - 2. Sort -2, n, -4.
-4, -2, n
Suppose -2*f + 4 + 6 = 0. Sort -5, f, 2 in increasing order.
-5, 2, f
Suppose 0*y + 5*y = -25. Sort -4, y, 4 in descending order.
4, -4, y
Let n(k) = k**3 + 11*k**2 + k + 16. Let t be n(-11). Put 1, 3, 6, t in increasing order.
1, 3, t, 6
Suppose h + 4*q = -0*q + 2, 4*h = 2*q + 8. Let y = 0.8 + 0.2. Sort h, -3, y in decreasing order.
h, y, -3
Let r = 3 + -1. Let a(d) = -d**2 - 4*d + 1. Let g be a(-4). Let p = -3 - g. Put p, 5, r in descending order.
5, r, p
Let v = 106 + -106. Let h be (-2)/(-9) - 43/(-9). Suppose -4*z + 25 = -h*b, -5*b + 4*z = z + 25. Put v, b, 1 in increasing order.
b, v, 1
Let s = 16 - 20. Let y(q) = -2*q - 1. Let k be y(1). Put -1, k, s in ascending order.
s, k, -1
Let s be 3/(-10)*(-5)/12. Let o = -23.1 - -22. Let v = 1.3 + o. Sort s, v, 2/7 in increasing order.
s, v, 2/7
Suppose m - 26 = 4*w, -5*w = -4*m - 0*w + 49. Suppose -2*u - 2*u = -12. Let a be (0 + 0)*(-2)/(-4). Put a, m, u in ascending order.
a, u, m
Let x = -9 + 6. Let k = 8 - 6. Let c be 5*-1*k/2. Sort -2, c, x in ascending order.
c, x, -2
Let r be 6/21 + (-38)/(-14). Let o be (28/(-8) + 3)*0. Sort r, o, -5 in descending order.
r, o, -5
Let d be (-140)/30 - (-1)/(-3). Suppose 0 = i - 2*i + 1. Suppose -r - u = u + 2, -2*r = -2*u + 4. Sort r, i, d in increasing order.
d, r, i
Let n = -48 - -50. Let j = -11 - -8. Sort -5, j, n.
-5, j, n
Let k(m) = -m - 15. Let g be k(-12). Let d be (0 + g/(-66))*4. Let y = -8 - -4. Put y, 3/5, d in ascending order.
y, d, 3/5
Let o = -1157 - -1162.01. Let m = -0.01 + o. Let x = m - 4.5. Put 2, x, -5 in increasing order.
-5, x, 2
Suppose -5*m + 6 = -4*v - 3*m, 0 = -5*v + 3*m - 7. Sort -1, v, 4 in decreasing order.
4, -1, v
Suppose 5*a = -5*c + 70, 26 = a - c - c. Let g = -11 + a. Sort 1, -4, g in ascending order.
-4, 1, g
Suppose 0 = -4*u + 118 - 94. Put -3, u, -2, 2 in descending order.
u, 2, -2, -3
Let s be 1 - 2 - 17*-2. Let o be (-6)/s - (-53)/(-11). Let i(u) = 13*u - 62. Let f be i(5). Put f, 1, o in descending order.
f, 1, o
Let f be (0 + -2)*1/(-3). Suppose 4 = -12*l + 11*l. Sort l, 4/3, f in descending order.
4/3, f, l
Suppose 5*c - 4*o - 33 = 0, 3 + 3 = -3*o. Sort 4, c, 30.
4, c, 30
Let p(b) = -b - 8. Let t be p(-12). Sort -4, -1, t in descending order.
t, -1, -4
Let b(i) = i**2 - 11*i + 9. Let h be b(10). Suppose 4*l + 5*f = -32, 4*f + 6 = -2*l - 16. Let n = 4 + 1. Sort h, n, l in descending order.
n, h, l
Let g = 37/57 - -1/57. Let z = 67/38 - 24/19. Put 0.2, z, g in decreasing order.
g, z, 0.2
Let c = 64 - 60. Sort c, 1/11, 1/3 in ascending order.
1/11, 1/3, c
Let z(y) = -5*y + 1. Let n be z(1). Suppose -5*j = -3*j - 14. Let o(m) = 2*m - 15. Let s be o(j). Put n, s, 1 in ascending order.
n, s, 1
Let z be (-2)/(-4) - 9/(-6). Let q(h) = -2*h**2 + h + 1. Let u be q(2). Let g be (-7)/(-21) - (-26)/(-6). Put u, g, z in descending order.
z, g, u
Let t be 1/(-2) + (-26)/(-28). Let k = -5 + 4.92. Let j = k - 0.02. Put j, 1/2, t in decreasing order.
1/2, t, j
Let o be 11/((-11)/(-18)) - 1. Suppose -o = 5*l + 3*q - 6*q, -2*q = 3*l - 5. Sort -6, -5, l.
-6, -5, l
Let l = 3 - 3.2. Let h = -72 + 72. Let m = h + l. Put -0.3, 6, m in decreasing order.
6, m, -0.3
Let i(q) = q**3 - 4*q**2 + 4*q. Let o be i(3). Suppose 0*x + f = 5*x + 41, 49 = -5*x - f. Let w be ((-2)/4)/(x/(-36)). Sort o, w, 2 in ascending order.
w, 2, o
Let h = -80 + 80. Sort -21, 0.4, h in descending order.
0.4, h, -21
Let c(z) = -z**3 + 6*z**2 - 13*z + 36. Let h be c(5). Sort 5, -1, h, 4 in decreasing order.
5, 4, -1, h
Let i = 54 + -592/11. Sort i, 0.2, 1 in ascending order.
i, 0.2, 1
Suppose -6*t + 4 = -38. Suppose t*s + 16 = 4*s - b, -4*b - 14 = 2*s. Sort 4, s, 2.
s, 2, 4
Let m = -6.3 - -6. Sort m, -1/4, 0 in descending order.
0, -1/4, m
Let s = 0.4 - 0.1. Let b be -3 - ((-70)/(-6))/(-5). Sort b, -4, s in increasing order.
-4, b, s
Let b(r) = -r**2 + 2*r - 1. Let p be b(3). Let k be (8/(-6) - -2)*-3. Put p, k, -1 in decreasing order.
-1, k, p
Let h be ((-4)/(-11))/2 - 3066/(-803). Sort h, 0, -30 in descending order.
h, 0, -30
Let l(o) = -o**2 + 5*o + 1. Let d be l(4). Sort -2, -13, d in increasing order.
-13, -2, d
Suppose -q + 5 + 2 = 0. Sort -2, q, -3 in increasing order.
-3, -2, q
Let f = 111 + -1223/11. Sort 0.05, 0.5, | {
"pile_set_name": "DM Mathematics"
} |
rd derivative of p(j) wrt j.
40008
Let d(c) = -2*c**5 - c**3 - c + 1. Let z(w) = -1305*w**5 - 5*w**3 + 1267*w + 5. Let a(l) = 5*d(l) - z(l). Find the second derivative of a(k) wrt k.
25900*k**3
Suppose -2*l - 18 = -5*d, -3*d + 4 = -3*l - 5. Find the second derivative of -86*m + l - 9*m**5 - 1 + 35*m**5 wrt m.
520*m**3
Let h be ((-10)/(-6))/((-2)/(-6)). Let x(q) = -174*q + 1046. Let n be x(6). Find the third derivative of -a**2 + 24*a**n + 34*a**h + 0*a**2 - 14*a**5 wrt a.
1200*a**2
Suppose -4*a - 22 = q + 7, 4*q - 20 = a. Let h(v) = 2*v**3 + 17*v**2 + 5*v - 2. Let i be h(a). Differentiate -i - 114*b**3 - 5 + 81*b**3 with respect to b.
-99*b**2
Find the third derivative of -12289 + 12289 + 468*j**2 - 262*j**3 - 543*j**3 wrt j.
-4830
Let h(d) be the second derivative of -39*d**5/40 + 7*d**4/2 - 11*d**3/6 + d**2 + 129*d. Let b(i) be the second derivative of h(i). Differentiate b(j) wrt j.
-117
Let a(l) = 483*l**2 - 5*l - 8789. Let u(i) = -1887*i**2 + 19*i + 35154. Let b(p) = 23*a(p) + 6*u(p). Differentiate b(o) with respect to o.
-426*o - 1
Let s(u) be the first derivative of 91*u**6/6 - 2*u**3 - 27*u**2/2 - 733. Find the third derivative of s(v) wrt v.
5460*v**2
Let c(a) = -2770*a**3 + 11*a**2 - 12*a - 39. Let r(g) = -8309*g**3 + 34*g**2 - 32*g - 117. Let i(w) = 8*c(w) - 3*r(w). Find the third derivative of i(v) wrt v.
16602
Let m be (399/(-21))/(-1 - 0 - 0). What is the third derivative of -58*c**2 - 47 + 89*c**2 + 46 + m*c**3 + 62*c**2 - 2*c**4 wrt c?
-48*c + 114
Let m be 0*120/480*1*4. Let j(p) be the third derivative of 0 - 23/120*p**6 + m*p + 0*p**4 - 47/6*p**3 + 19*p**2 + 0*p**5. Differentiate j(a) wrt a.
-69*a**2
What is the derivative of 1070 + 48*l - 75 + 370*l**3 - 397*l**3 + 137 wrt l?
-81*l**2 + 48
Let b(u) = -6898*u**2 + 21*u - 1868. Let m(w) = 3*w**2 - 3*w. Let j(d) = b(d) + 7*m(d). What is the first derivative of j(a) wrt a?
-13754*a
Let y = 472 + -470. Suppose 0 = -4*h, l + l - 4*h = 4. Find the third derivative of 15*j**6 - 37*j**y + 13*j**2 + 3*j**2 + 6*j**l wrt j.
1800*j**3
Let v = -92 + 98. Find the third derivative of 149*c**v - 525*c - 99*c**2 + 525*c wrt c.
17880*c**3
What is the third derivative of -59*b**5 - 17090 + 421*b**2 - 7*b**4 + 17090 wrt b?
-3540*b**2 - 168*b
Differentiate 4975 - 39*a**2 - 177*a + 158*a + 15*a**2 wrt a.
-48*a - 19
Let o(v) = 14*v**2 + 2*v - 1. Let z(j) = 17*j**2 + 30*j + 6852. Let m(q) = -2*o(q) + z(q). What is the first derivative of m(y) wrt y?
-22*y + 26
Suppose -49 - 10 = -h + x, -4*x = -5*h + 293. What is the second derivative of 10*z - 69*z**2 + h*z - 162*z - 149*z**2 wrt z?
-436
Let s(i) = 5*i**3 + 40*i**2 + 62*i. Let x(t) = 16*t**3 + 122*t**2 + 187*t - 1. Let a(n) = 19*s(n) - 6*x(n). Find the second derivative of a(j) wrt j.
-6*j + 56
Let p be (-579)/9 + 1/12*4. Let d be p/(-36) - (-1)/((-9)/(-2)). Differentiate -5*g**2 + 8*g**2 - 12*g**d - 7*g**2 + 24 wrt g.
-32*g
Let i(s) be the first derivative of -17/2*s**2 + 136 + 86*s. What is the derivative of i(r) wrt r?
-17
Let z(y) = 6*y**2 + 83 - 13*y + 100*y + 10*y + 20*y**2 + 42. Let u(i) = -4*i**2 - 1. Let p(j) = 6*u(j) + z(j). What is the derivative of p(t) wrt t?
4*t + 97
Let i = -43 + 78. Suppose -3*n + 23 = -2*j + j, -5*n + 5*j = -i. What is the third derivative of n*d**2 - 5*d**4 + 6*d**2 - 7*d**4 wrt d?
-288*d
Let r(v) be the second derivative of 677*v**7/42 - v**6/30 + 134*v**4 - v + 12. Find the third derivative of r(b) wrt b.
40620*b**2 - 24*b
What is the second derivative of 2738*k + 8*k**2 - 52*k + 120*k**5 + 1042*k - 437*k - 623*k wrt k?
2400*k**3 + 16
Let h = -83 + 187. What is the first derivative of h*u - 192*u + 91 + 140*u wrt u?
52
Suppose -c + 4 = 1. What is the third derivative of 24*r**c + 6683*r**2 + 15*r**3 - 6686*r**2 + 2*r**4 wrt r?
48*r + 234
Let b(j) be the first derivative of 255*j**5 + j**4/2 + j**3/3 + 3*j**2/2 - 632*j + 4820. Find the third derivative of b(y) wrt y.
30600*y + 12
Let l(s) be the third derivative of -2777*s**7/210 - s**5/30 + 75*s**3 + 19*s**2 + 2*s + 10. Find the third derivative of l(o) wrt o.
-66648*o
Let a(q) be the first derivative of 377*q**4 - 13*q**3/3 + 46. What is the third derivative of a(k) wrt k?
9048
Let f be 2*-2*9/(-12). Find the third derivative of -72*x**4 + f - 3 - 56*x**4 - x**2 + 4 wrt x.
-3072*x
Let d(i) = 3*i + 20. Let y be d(14). What is the second derivative of -y*f - f**2 - 507 + 507 - 8*f**3 wrt f?
-48*f - 2
Let c be (-6)/8*(-36 + -8). What is the third derivative of -12*k**6 - 50*k**2 - 37*k**2 - 58*k**2 - c*k**2 wrt k?
-1440*k**3
Suppose 0 = -p - n - 57, p - 287 = 6*p + 4*n. Let v = p - -69. What is the derivative of 41*x**2 - 2*x**2 - 15*x**2 - 11*x**2 - v wrt x?
26*x
Let p(a) be the first derivative of -8*a**3 + 3524*a + 2572. Differentiate p(t) with respect to t.
-48*t
Suppose 0 = c + 147 - 47. Let f be (-3)/(12/c) - 6/3. Find the second derivative of -21*b**4 + 4*b - 2*b + f*b**4 - 3*b wrt b.
24*b**2
Let w = -712 - -904. What is the second derivative of -11*j**4 - 22*j**4 + 12*j**4 - 2*j**2 + w*j wrt j?
-252*j**2 - 4
Let p(h) be the first derivative of 51 - 11/2*h**2 + 0*h**3 + 1/4*h**4 + 8*h. Differentiate p(b) with respect to b.
3*b**2 - 11
Let w(f) be the second derivative of 223*f**7/14 - f**4/3 - 29*f**2 + 227*f. Find the third derivative of w(p) wrt p.
40140*p**2
Let a = 309 + -189. What is the third derivative of a*h**4 - 3 + 2*h**2 - h**3 - 38*h**4 + 31 - 66*h**4 wrt h?
384*h - 6
Let r(h) = 2809*h**2 - 15*h - 4411. Let n(y) = 5619*y**2 - 25*y - 8822. Let s(i) = 3*n(i) - 5*r(i). What is the first derivative of s(q) wrt q?
5624*q
What is the first derivative of -197*s + 24*s + 51*s - 3607 - 116*s wrt s?
-238
Find the third derivative of 169*q**2 - 22578*q**6 + 215*q**2 + 29*q**4 + 22632*q**6 wrt q.
6480*q**3 + 696*q
What is the second derivative of 18 + 18 - 446*k - 33 - 3090*k**5 + 17 + 585*k wrt k?
-61800*k**3
Find the first derivative of -7*r**2 - 39 + 5*r**2 - 6*r**2 + 1398 + 525 + 33*r wrt r.
-16*r + 33
Let s(t) be the second derivative of -61*t**4/2 + 73*t**3/6 + t**2/2 + 2*t + 70. What is the second derivative of s(a) wrt a?
-732
Suppose -2*d - a = -27 - 20, -2*a + 31 = d. Suppose -d = 2*m - 5*i, -i = -3*m - 3*i + 16. What is the derivative of -4 + 4*g**m + 10 + g**2 - 4 wrt g?
10*g
Let a = 388 - 381. What is the second derivative of -8*p**3 - 2*p**2 - 1 - 2*p**3 + a*p - 10*p**3 wrt p?
-120*p - 4
Let f(o) be the first derivative of -4/3*o**6 + 0*o**4 - 40 + 0*o**3 + 0*o + 51/2*o**2 + 4/5*o**5. Find the second derivative of f(n) wrt n.
-160*n**3 + 48*n**2
Differentiate -168*l**3 - 753 + 4*l**4 + 10744*l - 10744*l - 10*l**4 with respect to l.
-24*l**3 - 504*l**2
What is the derivative of 421*g**2 + 406*g**2 - 843*g**2 - 1832 wrt g?
-32*g
Let a(o) be the first derivative of 2821*o**3/3 - 1052*o**2 + 3481. What is the second derivative of a(z) wrt z?
5642
Let s(m) be the second derivative of -2571*m**5/20 + m**4/6 + 2385*m**3/2 - 12187*m. Find the second derivative of s(j) wrt j.
-15426*j + 4
Suppose 5*f - 20 = -5. Find the third derivative of -15*v**f - 5*v**3 - 16*v**3 - 64*v**2 + 3*v**3 wrt v.
-198
Let q = -93 + 178. What is the second derivative of -84*x**3 + q*x**3 + 16*x + 3*x + 38*x**2 wrt x?
6*x + 76
Let k(j) be the third derivative of -19/60*j**6 + 3*j**2 - 40*j + 0*j**5 + 0*j**3 + 0 - 17/8*j**4. What is the second derivative of k(h) wrt h?
-228*h
Find the third derivative of 36*k**3 + k**3 + k**2 - 6 - 16*k**3 - 16*k**3 + 174*k - 6*k**3 - 258*k**4 wrt k.
-6192*k - 6
Let q(x) be the second derivative of -469*x**7/6 + 391*x**4/6 + x**2 + 43*x - 3. What is the third derivative of q(f) wrt f?
-196980*f**2
Let s = -39 - -27. Let r be (-15)/s - 3/(-4). What is the first derivative of 41*u**2 + 14 - 65*u**2 + 33*u**r wrt u?
18*u
Suppose 4*j - 231 = -5*w + 48, 210 = 3*j + 3*w. Suppose j = 7*b - 27. Find the second derivative of 5*l**3 + 23*l - 27*l**3 - b*l + 19*l wrt l.
-132*l
Let p(u) be the first derivative of 643*u**4/2 - 2*u**3/3 + 373*u**2 + 3133. What is the third derivative of p(f) wrt f?
7716
Suppose d + 2 = 2*f + 3*d, 0 = -2*f - d. Let t(n) = 11*n**2 - 1. Let s be t(f). Differentiate s*k + 3*k + 33 + 2*k - 9 with respect to k.
15
What is the derivative of 153*h - 245 + 920*h - 236 - h**2 + 139 wrt h?
-2*h + 1073
Suppose 5*t - 89 = -2*c, -3 | {
"pile_set_name": "DM Mathematics"
} |
10101111 (base 2) to base 9
2625
Convert 671 (base 8) to base 3.
121100
-46705 (base 8) to base 4
-10313011
What is 1272 (base 15) in base 9?
5348
Convert -25a (base 11) to base 4.
-10303
Convert -1318 (base 13) to base 4.
-222211
2231 (base 4) to base 15
b8
620 (base 8) to base 3
112211
Convert 174a (base 11) to base 8.
4270
What is 29a4 (base 11) in base 10?
3865
-100100 (base 2) to base 10
-36
-1011212 (base 3) to base 15
-3c5
Convert 1101000 (base 2) to base 14.
76
Convert -148 (base 9) to base 8.
-175
What is -67e (base 15) in base 4?
-112331
What is -222100 (base 4) in base 14?
-db2
Convert -13233 (base 4) to base 10.
-495
What is 1021020 (base 6) in base 2?
1100000101000100
Convert -1960 (base 13) to base 16.
-ed4
10111010001 (base 2) to base 16
5d1
Convert 5154 (base 8) to base 5.
41133
110101111110 (base 2) to base 11
2660
What is -1837 (base 9) in base 12?
-997
What is -415 (base 6) in base 5?
-1110
What is 103221 (base 4) in base 13?
759
110101100101 (base 2) to base 13
173a
Convert -222314 (base 5) to base 12.
-464a
What is -101102110 (base 3) in base 2?
-1110110101111
What is 452424 (base 6) in base 9?
57327
-244230 (base 6) to base 3
-1002202100
Convert -315026 (base 7) to base 6.
-1100325
-40164 (base 8) to base 6
-204220
What is -3113 (base 4) in base 7?
-425
Convert -25a4 (base 14) to base 4.
-1213110
3457 (base 11) to base 10
4539
-12222002 (base 3) to base 11
-32a4
438 (base 16) to base 2
10000111000
What is 105404 (base 7) in base 11?
13080
Convert -3200010 (base 4) to base 6.
-150220
What is 749a (base 11) in base 2?
10011010110110
What is 10110010101 (base 2) in base 3?
1221221
What is 338 (base 16) in base 11?
68a
Convert 21315 (base 6) to base 16.
b6f
What is -11222 (base 5) in base 14?
-420
-2366 (base 10) to base 4
-210332
Convert 518 (base 9) to base 8.
646
Convert 8a04 (base 14) to base 4.
11311230
6b (base 12) to base 6
215
-11120 (base 5) to base 8
-1421
What is 2862 (base 11) in base 15?
1168
3ab (base 16) to base 11
784
Convert -5104 (base 6) to base 10.
-1120
-17741 (base 8) to base 15
-2641
110100 (base 2) to base 4
310
Convert 221220101 (base 3) to base 10.
18883
What is -512 (base 6) in base 10?
-188
Convert 25442 (base 6) to base 15.
1212
What is 434 (base 9) in base 14?
1b5
Convert -10100100 (base 2) to base 9.
-202
Convert 581 (base 9) to base 13.
2aa
Convert 11012 (base 5) to base 10.
757
10321 (base 5) to base 2
1011000111
Convert -16c (base 16) to base 7.
-1030
Convert 2432 (base 5) to base 3.
111121
-81b (base 13) to base 15
-61b
-547 (base 14) to base 5
-13133
Convert -100110001001001 (base 2) to base 8.
-46111
-3bd (base 14) to base 7
-2126
2d3e (base 16) to base 2
10110100111110
Convert 504 (base 7) to base 4.
3321
-c6d (base 14) to base 2
-100110010001
Convert -11031 (base 6) to base 4.
-113323
3233 (base 6) to base 12
519
Convert -1100 (base 14) to base 11.
-2233
Convert 14332 (base 5) to base 7.
3356
What is -23691 (base 11) in base 2?
-1000010100110101
29b7 (base 13) to base 6
44025
-10111100001 (base 2) to base 3
-2001202
What is 11001100010 (base 2) in base 3?
2020112
Convert 776 (base 12) to base 4.
101022
Convert 4244 (base 5) to base 16.
23e
-6163 (base 8) to base 9
-4331
Convert 48a3 (base 14) to base 10.
12687
What is -2200221 (base 3) in base 2?
-11110110001
What is 111001 (base 3) in base 8?
540
What is -1401 (base 6) in base 13?
-21a
34 (base 8) to base 2
11100
What is 1363 (base 8) in base 16?
2f3
What is 71 (base 9) in base 2?
1000000
-bd (base 15) to base 14
-ca
Convert -1315 (base 7) to base 16.
-1f6
Convert -132343 (base 7) to base 14.
-90ca
-14515 (base 6) to base 13
-10bb
Convert -22021 (base 4) to base 12.
-461
Convert -45 (base 12) to base 4.
-311
What is 4064 (base 13) in base 2?
10001010100110
Convert 1407 (base 10) to base 8.
2577
What is 105 (base 8) in base 7?
126
What is 10a (base 13) in base 7?
344
What is -1422344 (base 5) in base 8?
-72034
Convert 1294 (base 11) to base 12.
b78
What is 36343 (base 11) in base 4?
30301133
What is 1353 (base 6) in base 7?
1020
-133853 (base 9) to base 7
-456642
Convert 45 (base 13) to base 10.
57
Convert -507 (base 10) to base 5.
-4012
What is 27361 (base 8) in base 15?
3862
Convert 21013131 (base 4) to base 5.
2143331
Convert 2210323 (base 4) to base 16.
293b
What is -242 (base 10) in base 9?
-288
What is -16513 (base 9) in base 12?
-66a0
Convert 103423 (base 5) to base 15.
110d
Convert 7057 (base 11) to base 8.
22243
What is 10222211 (base 3) in base 5?
43121
What is b602 (base 12) in base 16?
4da2
What is -80 (base 15) in base 5?
-440
Convert -1304 (base 5) to base 13.
-129
What is -2020002121 (base 3) in base 11?
-2aa08
What is 610f (base 16) in base 6?
311011
What is -4811 (base 13) in base 3?
-111221002
What is 78 (base 10) in base 13?
60
Convert 2333 (base 9) to base 3.
2101010
-23278 (base 9) to base 16
-3cb6
What is 376 (base 14) in base 6?
3112
Convert -10011111011 (base 2) to base 3.
-1202020
208 (base 11) to base 13
163
-53602 (base 7) to base 13
-60b5
What is -13649 (base 10) in base 15?
-409e
11000021 (base 3) to base 15
ced
Convert 757 (base 13) to base 5.
20010
What is -3410 (base 5) in base 11?
-3a7
164350 (base 7) to base 16
7fff
Convert 29a (base 11) to base 16.
15f
What is 60 (base 12) in base 14?
52
665 (base 10) to base 6
3025
Convert 107c (base 13) to base 3.
10011012
What is 377 (base 15) in base 14?
403
-469 (base 15) to base 14
-515
-456 (base 9) to base 8
-567
What is -1000031 (base 4) in base 11?
-30a6
Convert -100111110000 (base 2) to base 10.
-2544
2301201 (base 4) to base 15
3576
What is 143a (base 11) in base 12?
10aa
20013 (base 4) to base 11
432
-5a9c (base 13) to base 7
-52221
Convert -4097 (base 10) to base 15.
-1332
What is -112120 (base 3) in base 11?
-328
What is -8382 (base 12) in base 3?
-201200122
1120121 (base 3) to base 2
10001111110
4134 (base 5) to base 11
455
What is 13920 (base 11) in base 7?
111365
What is 20b2 (base 15) in base 7?
26111
What is 1749 (base 10) in base 7?
5046
Convert 69 (base 15) to base 6.
243
32467 (base 8) to base 14
4d71
Convert -222400 (base 5) to base 8.
-17252
Convert -8cc3 (base 16) to base 8.
-106303
What is -cc22 (base 13) in base 9?
-42877
1517 (base 11) to base 13
b74
b412 (base 13) to base 3
1021002200
What is 112211000 (base 3) in base 10?
10800
What is 762 (base 10) in base 11?
633
What is -111130 (base 4) in base 10?
-1372
-1ea (base 15) to base 7
-1204
What is 446 (base 10) in base 6?
2022
100011111 (base 2) to base 8
437
Convert -114413 (base 5) to base 8.
-10406
4422 (base 5) to base 12
430
What is -21102210 (base 3) in base 14?
-1d93
Convert -122101020 (base 3) to base 4.
-3011331
What is -422 (base 7) in base 15?
-e2
What is 1000001100 (base 2) in base 14?
296
-92b0 (base 15) to base 14
-b418
-1100212 (base 3) to base 8
-1743
What is -21333 (base 4) in base 9?
-780
Convert 252 (base 6) to base 7.
206
-d219 (base 16) to base 9
-81701
-202122 (base 3) to base 2
-1000101101
What is -2d0 (base 15) in base 2?
-1010000101
-110323 (base 4) to base 13
-7c0
-3301011 (base 4) to base 9
-23143
712 (base 12) to base 7
2660
What is 210212 (base 3) in base 12?
412
Convert 33 (base 9) to base 16.
1e
Convert 370 (base 13) to base 7.
1513
Convert -3170 (base 8) to base 13.
-9a5
Convert 1b1 (base 16) to base 6.
2001
Convert -11001211 (base 3) to base 5.
-43330
Convert 10000110000110 (base 2) to base 8.
20606
What is 498 (base 10) in base 3?
200110
-10122210 (base 3) to base 4
-221223
What is 656b (base 12) in base 10?
11171
Convert 2001332 (base 4) to base 15.
26e8
Convert -25305 (base 7) to base 11.
-5013
46c (base 14) to base 2
1101110000
25442 (base 6) to base 16
f02
What is 284 (base 10) in base 3?
101112
What is -10100210012 (base 3) in base 10?
-66182
What is 2022101 (base 3) in base 4?
122110
-2146 (base 13) to base 11
-3521
8321 (base 14) to base 4
11200221
Convert 259 (base 14) to base 2.
111010111
Convert 15250 (base 6) to base 10.
2478
Convert -2206 (base 8) to base 6.
-5210
What is -10010001111001 (base 2) in base 11?
-7019
What is -202 (base 3) in base 15?
-15
5071 (base 11) to base 13
30ac
What is 847 (base 10) in base 3?
1011101
48616 (base 9) to base 12
16a29
b1 (base 12) to base 13
a3
6286 (base 9) to base 14
1978
88a (base 14) to base 6
11454
Co | {
"pile_set_name": "DM Mathematics"
} |
2980000000
How many kilograms are there in 592.9111t?
592911.1
What is 77/2 of a second in milliseconds?
38500
How many nanoseconds are there in 9/10 of a microsecond?
900
How many months are there in 12/25 of a millennium?
5760
How many millimeters are there in 22.52474km?
22524740
Convert 227839.65 hours to days.
9493.31875
Convert 526.0623ns to microseconds.
0.5260623
Convert 3.516174km to micrometers.
3516174000
How many weeks are there in 15208421.76ns?
0.0000000251462
What is 61/2 of a litre in millilitres?
30500
What is 75/2 of a year in months?
450
Convert 660527.8um to nanometers.
660527800
What is 728396.1 decades in millennia?
7283.961
What is one quarter of a decade in months?
30
Convert 0.2171617 tonnes to milligrams.
217161700
What is three fifths of a millimeter in micrometers?
600
How many kilograms are there in one quarter of a tonne?
250
How many microseconds are there in 5136.336s?
5136336000
How many micrometers are there in eleven halves of a millimeter?
5500
Convert 21518.841 months to decades.
179.323675
How many minutes are there in 2/15 of a day?
192
What is 6/25 of a meter in centimeters?
24
How many centuries are there in 4.863858 millennia?
48.63858
What is five quarters of a micrometer in nanometers?
1250
What is 0.4844259t in kilograms?
484.4259
Convert 733.1028 millilitres to litres.
0.7331028
What is thirty-three fifths of a century in years?
660
What is two fifteenths of a decade in months?
16
How many kilograms are there in 21/4 of a tonne?
5250
Convert 8235.337 millilitres to litres.
8.235337
Convert 114977.7909s to weeks.
0.19010878125
What is 71/4 of a hour in minutes?
1065
How many nanograms are there in 18/5 of a microgram?
3600
Convert 9.169502 nanograms to milligrams.
0.000009169502
What is seventeen quarters of a meter in centimeters?
425
How many grams are there in 0.5326751 kilograms?
532.6751
Convert 0.5731931 millilitres to litres.
0.0005731931
Convert 1.455971mm to nanometers.
1455971
What is 0.6951943 days in milliseconds?
60064787.52
How many millilitres are there in 3/5 of a litre?
600
How many minutes are there in seven fifteenths of a hour?
28
What is 197006.4 centimeters in nanometers?
1970064000000
What is 7301.557 centuries in decades?
73015.57
What is six fifths of a microsecond in nanoseconds?
1200
What is 25.7133 weeks in milliseconds?
15551403840
What is 0.8824484 millennia in months?
10589.3808
How many millilitres are there in five quarters of a litre?
1250
What is 9467.115 decades in years?
94671.15
How many microseconds are there in 65032.67 days?
5618822688000000
What is 8.923941ml in litres?
0.008923941
What is 31/2 of a tonne in kilograms?
15500
How many millilitres are there in three fifths of a litre?
600
Convert 865.927ug to milligrams.
0.865927
What is 29/5 of a kilogram in grams?
5800
How many milliseconds are there in one quarter of a minute?
15000
How many milliseconds are there in one fifteenth of a minute?
4000
Convert 5.967612 months to years.
0.497301
What is 0.7058619 hours in minutes?
42.351714
How many years are there in fifty-two fifths of a decade?
104
How many years are there in 18/5 of a decade?
36
How many decades are there in 3/25 of a millennium?
12
What is twenty-seven fifths of a millennium in months?
64800
Convert 30378.58 meters to kilometers.
30.37858
What is 3/50 of a milligram in nanograms?
60000
How many milligrams are there in 484.8009g?
484800.9
What is 80718.13 litres in millilitres?
80718130
How many meters are there in sixty-seven quarters of a kilometer?
16750
How many decades are there in 26/5 of a millennium?
520
How many decades are there in seventeen halves of a millennium?
850
What is 43/2 of a litre in millilitres?
21500
What is 17/2 of a litre in millilitres?
8500
Convert 3.709307mg to tonnes.
0.000000003709307
What is 25/2 of a century in decades?
125
What is 3/10 of a meter in millimeters?
300
Convert 62778.26t to kilograms.
62778260
What is fifty-three fifths of a kilometer in meters?
10600
How many grams are there in fifteen quarters of a kilogram?
3750
How many micrograms are there in seven eighths of a milligram?
875
What is 7/2 of a week in minutes?
35280
What is four thirds of a millennium in months?
16000
How many micrograms are there in 1/4 of a milligram?
250
Convert 0.3253764km to centimeters.
32537.64
What is three fifths of a centimeter in millimeters?
6
How many millilitres are there in 71208.88 litres?
71208880
What is 3/5 of a century in months?
720
How many millilitres are there in 158.8925 litres?
158892.5
How many nanoseconds are there in 5/4 of a microsecond?
1250
How many months are there in 6/5 of a millennium?
14400
What is three tenths of a hour in minutes?
18
What is 0.5394367 millilitres in litres?
0.0005394367
How many centuries are there in eighty-one halves of a millennium?
405
How many seconds are there in 1/4 of a hour?
900
What is sixty-one halves of a kilometer in meters?
30500
How many millimeters are there in three tenths of a centimeter?
3
Convert 0.0021815 millennia to centuries.
0.021815
What is 3/10 of a decade in months?
36
What is 45/4 of a microsecond in nanoseconds?
11250
How many micrometers are there in thirteen eighths of a millimeter?
1625
How many nanoseconds are there in one quarter of a microsecond?
250
What is 0.320055s in nanoseconds?
320055000
How many millimeters are there in 8567.6 centimeters?
85676
How many milligrams are there in 552.158kg?
552158000
Convert 20432.65 micrograms to tonnes.
0.00000002043265
How many milligrams are there in 1/5 of a gram?
200
What is 77/2 of a millimeter in micrometers?
38500
What is one quarter of a hour in seconds?
900
What is 7/2 of a litre in millilitres?
3500
What is 0.5681663 decades in millennia?
0.005681663
How many millilitres are there in one fifth of a litre?
200
How many meters are there in twenty-one fifths of a kilometer?
4200
How many micrometers are there in 3/16 of a centimeter?
1875
How many months are there in 53/4 of a year?
159
How many millilitres are there in three fifths of a litre?
600
How many tonnes are there in 31802.93 nanograms?
0.00000000003180293
What is 877.6458ml in litres?
0.8776458
What is 0.7110136 nanometers in centimeters?
0.00000007110136
How many millilitres are there in 6/5 of a litre?
1200
What is 28/3 of a hour in seconds?
33600
How many decades are there in 2.364024 centuries?
23.64024
Convert 39.69951 millilitres to litres.
0.03969951
What is 3068.946mg in micrograms?
3068946
What is 462.498 micrograms in milligrams?
0.462498
What is 3435.27ns in seconds?
0.00000343527
What is 25/8 of a litre in millilitres?
3125
What is 3/5 of a kilometer in meters?
600
Convert 404187.8mg to tonnes.
0.0004041878
What is 13/5 of a microgram in nanograms?
2600
How many kilometers are there in 41.21091 millimeters?
0.00004121091
What is 4273.535l in millilitres?
4273535
Convert 14237.2 millilitres to litres.
14.2372
What is one twentieth of a centimeter in micrometers?
500
Convert 3157.592 weeks to microseconds.
1909711641600000
How many nanoseconds are there in thirty-seven fifths of a microsecond?
7400
What is 5/4 of a tonne in kilograms?
1250
What is 46/5 of a meter in centimeters?
920
Convert 938435.3 decades to years.
9384353
How many litres are there in 0.5665154ml?
0.0005665154
How many millilitres are there in 0.2857633 litres?
285.7633
What is three tenths of a microgram in nanograms?
300
What is 24289.89l in millilitres?
24289890
What is one fifth of a decade in years?
2
What is 1561.368ml in litres?
1.561368
How many decades are there in 13.74297 years?
1.374297
What is 21/4 of a litre in millilitres?
5250
How many months are there in five quarters of a year?
15
How many centimeters are there in 457.2936km?
45729360
Convert 716441.2cm to kilometers.
7.164412
How many milligrams are there in 1/80 of a kilogram?
12500
How many decades are there in 16.03472 centuries?
160.3472
What is 24793.99l in millilitres?
24793990
How many centimeters are there in 1/5 of a kilometer?
20000
How many days are there in 48495.861 seconds?
0.5612946875
How many centuries are there in 594.3201 millennia?
5943.201
How many micrometers are there in three sixteenths of a centimeter?
1875
How many decades are there in 3/10 of a mil | {
"pile_set_name": "DM Mathematics"
} |
ct the terms in 6*c + 33*c - 374 + 374 - 18*c.
21*c
Collect the terms in 205*n**3 - 498*n**3 + 283*n**3.
-10*n**3
Collect the terms in 492*b**2 - 2*b + 8405*b**2 - 4*b.
8897*b**2 - 6*b
Collect the terms in -42*m + 162 + 39*m - 162.
-3*m
Collect the terms in -3 + 3 - 506*s + 490*s.
-16*s
Collect the terms in -81*u - 13*u - 13*u + 114*u - 7*u + u.
u
Collect the terms in -360*h + 624*h - 211*h.
53*h
Collect the terms in 3386*p - 9503*p - 4547*p + 1 + 3.
-10664*p + 4
Collect the terms in 2 + 69*w - 218*w + 5 + 74*w + 74*w.
-w + 7
Collect the terms in -4241*f**3 + 2136*f**3 + 2102*f**3.
-3*f**3
Collect the terms in -418*g**3 - g + 219*g**3 + 197*g**3 + g.
-2*g**3
Collect the terms in 116*v**3 - 132 - 53*v**3 - 60*v**3.
3*v**3 - 132
Collect the terms in 1620 - 1620 + 40*m + 20*m.
60*m
Collect the terms in -3*y + 538567*y**2 + 3*y - 538531*y**2.
36*y**2
Collect the terms in 111782*f**2 + 111787*f**2 - 335344*f**2 + 111781*f**2.
6*f**2
Collect the terms in 1444885*y + 1444881*y - 2889764*y.
2*y
Collect the terms in -320*k**2 + 380*k**2 - 31*k**2 - 27*k**2.
2*k**2
Collect the terms in -196 - 190 + 428*r + 430*r + 386 - 854*r.
4*r
Collect the terms in 0*i + 2296*i**2 - 756*i**2 + 0*i - 756*i**2 - 754*i**2.
30*i**2
Collect the terms in 496*v - 725*v - 695*v - 396*v.
-1320*v
Collect the terms in 7*g + 7*g - 4*g - 4*g + 7*g - 7.
13*g - 7
Collect the terms in 3613 - 3613 + 3762*i.
3762*i
Collect the terms in 44330 - 44330 - 100*d.
-100*d
Collect the terms in -3*c**3 + 5*c**3 - 11*c**2 - 46 + 18*c**2 - 15*c**2.
2*c**3 - 8*c**2 - 46
Collect the terms in 125*l**3 - 255*l**3 - 223*l + 137*l**3 + 223*l.
7*l**3
Collect the terms in -2653*w**3 - 58 + 2674*w**3 + 58.
21*w**3
Collect the terms in 81*r**3 - 3*r**3 - 8*r**3 + 36*r**3 - 5*r**3.
101*r**3
Collect the terms in -84 - 4*n - 65 - 2 - 79.
-4*n - 230
Collect the terms in -16*r + 16*r + 43*r**3 + 7*r + 6*r.
43*r**3 + 13*r
Collect the terms in -263 + 526 - 43*q**2 - 263.
-43*q**2
Collect the terms in -4393*g**2 + 1 - 4767*g**2 - 1.
-9160*g**2
Collect the terms in -15 + 9 - 86*m**2 - 29*m**2 + 5.
-115*m**2 - 1
Collect the terms in -u - 221*u**2 + 224*u**2 + u + 64*u**3.
64*u**3 + 3*u**2
Collect the terms in 23*j - 232*j + 138*j.
-71*j
Collect the terms in -69 - 29 + 98 - q**3 - q**2 + q**2.
-q**3
Collect the terms in -27*w**3 - 27*w**3 + 71*w**3.
17*w**3
Collect the terms in 104*l**3 + 38*l**3 - 58*l**3 + 180*l**3.
264*l**3
Collect the terms in -8581 + 3*r**3 - 4*r**3 - 8676.
-r**3 - 17257
Collect the terms in -46*g**2 + 82*g**2 + 17 - 17 - 7*g**2 - 26*g**2.
3*g**2
Collect the terms in -p**2 - 5*p**2 + 9*p - 10*p**2 + 6*p**2.
-10*p**2 + 9*p
Collect the terms in 187 - 2*v - 375 + 4*v + 188.
2*v
Collect the terms in 1087*v**2 - 1686*v**2 + 601*v**2.
2*v**2
Collect the terms in -16 + 2*k**3 + 33*k**3 - 12*k**3 + 18.
23*k**3 + 2
Collect the terms in 7*p**2 - 3*p**2 + 93*p - 41*p + 2*p**2.
6*p**2 + 52*p
Collect the terms in -98*b**2 - 4*b**3 - 98*b**2 + 201*b**2.
-4*b**3 + 5*b**2
Collect the terms in -2065*d + 2065*d + 58*d**2 - 56*d**2.
2*d**2
Collect the terms in -126*s + 48*s + 78*s + 10*s**3.
10*s**3
Collect the terms in -191536*k - 7*k**3 + 95770*k + 95766*k.
-7*k**3
Collect the terms in -18 + 54 + 37*w**2 - 14 - 24.
37*w**2 - 2
Collect the terms in 43*i**2 + 200 - 3*i**2 - 38*i**2 + 199 + 196 - 595.
2*i**2
Collect the terms in -219*a - 158*a + 372*a.
-5*a
Collect the terms in f - 322228*f**2 - f + 322277*f**2.
49*f**2
Collect the terms in 80*z + 111*z - 100*z - 20*z.
71*z
Collect the terms in -5*f + 0*f**3 + f**3 + 2*f + 8*f - 2*f**2.
f**3 - 2*f**2 + 5*f
Collect the terms in 1051 - 3165 + 1053 + 1061 - 3*d.
-3*d
Collect the terms in 34*d**2 + 13*d**2 + 7*d**2 - 6*d**2 + 2*d**2.
50*d**2
Collect the terms in -127*j + 2667 - 2671 - 6*j.
-133*j - 4
Collect the terms in 518*n - 26 - 32 + 809*n + 56.
1327*n - 2
Collect the terms in -313*n - 40*n - 41*n + 58*n.
-336*n
Collect the terms in -26096210*a**2 + 26096210*a**2 + 89*a**3.
89*a**3
Collect the terms in -7 + 334197*y + 7.
334197*y
Collect the terms in 37*k**2 - 1 - 91*k**2 - 162*k**2 - 15*k**2.
-231*k**2 - 1
Collect the terms in -129 - 5*x**2 + 66 + 4*x**3 + 5*x**2 + 63.
4*x**3
Collect the terms in 4*q**3 + 263 - 795 - 19*q**3 + 268 + 264.
-15*q**3
Collect the terms in -6417*k**3 - 2475*k**3 + 1316*k**3.
-7576*k**3
Collect the terms in 1736587*s - 1736587*s + 5*s**2.
5*s**2
Collect the terms in -229 - 451 - 4*u - 235 + 915.
-4*u
Collect the terms in 1755*h + 2 - 3594*h + 1816*h.
-23*h + 2
Collect the terms in 70*a + 87*a + 67*a - 34*a.
190*a
Collect the terms in -1531*c + 3081*c - 1562*c.
-12*c
Collect the terms in -3*h - 3*h - 652 - 4*h + 8*h.
-2*h - 652
Collect the terms in -1 - 293*m + 1 + 1224*m.
931*m
Collect the terms in 80*p - 37*p - 45*p + 17 + 39 - 18.
-2*p + 38
Collect the terms in -8*h - 13 - 246*h + 11.
-254*h - 2
Collect the terms in -8 + 7 - 309*b**2 + 2 - b**3 - 529*b**2.
-b**3 - 838*b**2 + 1
Collect the terms in -101 + 169 - 63 - p**2.
-p**2 + 5
Collect the terms in -4 - 131*x + 6 - 26*x - 1 + 194*x.
37*x + 1
Collect the terms in 57915709*m**2 - 57915709*m**2 - 28*m**3.
-28*m**3
Collect the terms in 3438*t**2 + 2377*t**2 - 5812*t**2.
3*t**2
Collect the terms in 6363 + 290*g - 12723 + 6360.
290*g
Collect the terms in -28853 + 2*v**2 + 14427 + 14426 + 4*v**2.
6*v**2
Collect the terms in 1679*l**2 - 10*l**3 - 1707*l**2 + 8*l**3.
-2*l**3 - 28*l**2
Collect the terms in -423 + 864 - 7*i + 2*i - 383 + i**3 + 5*i.
i**3 + 58
Collect the terms in -14 - 3 + 312*c**2 - 307*c**2.
5*c**2 - 17
Collect the terms in -14*m**2 - 31*m**2 + 68*m**2.
23*m**2
Collect the terms in -14*l - 167*l + 5*l**3 - 38*l - 7*l**3.
-2*l**3 - 219*l
Collect the terms in -29*x - 1116*x**3 + 17*x + 12*x.
-1116*x**3
Collect the terms in -837*a**2 + 16*a**3 - 844*a**2 + 1695*a**2.
16*a**3 + 14*a**2
Collect the terms in -692 - 4502*c**2 + 692.
-4502*c**2
Collect the terms in 173*r**2 + 174*r**2 - 350*r**2.
-3*r**2
Collect the terms in 10*k**2 - 7 - k**2 + 4 + 5 + 7*k**3.
7*k**3 + 9*k**2 + 2
Collect the terms in -3685 + 3685 + 4684*g.
4684*g
Collect the terms in 26*f**2 - f**2 - 73*f**2 - 2*f**2.
-50*f**2
Collect the terms in -64*k - 67*k - 65*k + 4*k**2 + 196*k.
4*k**2
Collect the terms in -920057099*n + 920057099*n + 6*n**3.
6*n**3
Collect the terms in 220*p + 1 + 3 + 6 - 23 + 10.
220*p - 3
Collect the terms in -4657 - 7*k**2 - 236 - 1085.
-7*k**2 - 5978
Collect the terms in 2813*a + 2295*a + 5576*a.
10684*a
Collect the terms in -7957*d**3 - d - d + 5336*d**3 + 2*d.
-2621*d**3
Collect the terms in 214039*o - 60335*o + 240497*o.
394201*o
Collect the terms in 59 - 213 + 62 + 92 + 5*x.
5*x
Collect the terms in 1420 - 2664 + 1244 - 9*z**3.
-9*z**3
Collect the terms in -3*m**2 + m**2 + 159*m + 157*m + m**2 - 316*m.
-m**2
Collect the terms in -566*g - 524*g - 393*g + 1680*g.
197*g
Collect the terms in -1 - 84*o + 1 - 751*o.
-835*o
Collect the terms in -133*f - 86*f - 6*f + 28*f.
-197*f
Collect the terms in 2768*i**2 - 1553*i**2 - 1210*i**2.
5*i**2
Collect the terms in -418*q**3 + 821*q**3 - 351*q**3.
52*q**3
Collect the terms in -99 - 2*l - 112 - 50 - 236.
-2*l - 497
Collect the terms in -y**2 - 11*y**2 + 62*y**2 - 22*y**2.
28*y**2
Collect the terms in 4*x**2 - 6*x**2 + 5*x**2 - 142*x**3 - 3*x**2 + 137*x**3.
-5*x**3
Collect the terms in 10 + 37 + 9*b + 30 - 77.
9*b
Collect the terms in 278*w + 278*w - 1097*w + 272*w + 267*w.
-2*w
Collect the terms in -2 - 123*t + 255*t - 115*t.
17*t - 2
Collect the terms in -38672 - 31472 - 2*d**3 + 3*d**3.
d**3 - 70144
Collect the terms in -1 - 637*m**2 + 1 + 4111*m**2.
3474*m**2
Collect the terms in -316*c**3 - 3100*c**3 - 38*c**3.
-3454*c**3
Collect the terms in 39 - 2*c**2 - 117 + 49 + 29.
-2*c**2
Collect the terms in 46*k**2 - k - 46*k**2 + 440 + 3*k**3.
3*k**3 - k + 440
Collect the terms in 110830*y**2 - 55418*y**2 - 55414*y**2.
-2*y**2
Collect the terms in -2*q + 172*q**2 - 2*q**3 + 1 - q - 3.
-2*q**3 + 172*q**2 - 3*q - 2
Collect the terms in s**2 + 1 - 5330*s + 5403*s - 1.
s**2 + 73*s
Collect the terms in 5 + 5 - 21*h + 22*h + 0 - 10.
h
Collect the terms in 83008 - 4*w - 83008 + 9*w.
5*w
Collect the terms in 899*v + 15245*v**2 - 899*v.
15245*v**2
Collect the terms in -224*s + 76 + 33*s**2 + 224*s.
33*s**2 + 76
Collect the terms in 8*g + g**2 + 8*g - | {
"pile_set_name": "DM Mathematics"
} |
derivative of j(u) wrt u.
-3384*u**2 - 24*u
Let u(z) = -3*z - 19. Let o be u(-12). Find the second derivative of o*g**2 - 31*g**2 - 55*g**2 + 112*g - 22*g**2 wrt g.
-182
Let g = 16 - 16. Suppose g = 2*f - 6 + 2. Find the third derivative of -2*s**2 + 2*s**3 - 3*s**f + 3*s**2 wrt s.
12
Let o(h) be the third derivative of h**8/420 + 7*h**5/120 + h**4/4 + 17*h**3/3 + 45*h**2. Let x(i) be the first derivative of o(i). Differentiate x(g) wrt g.
16*g**3 + 7
Let x(a) = -9261*a**2 + 12*a + 9838. Let f(b) = -18521*b**2 + 20*b + 19683. Let s(n) = 3*f(n) - 5*x(n). Differentiate s(i) with respect to i.
-18516*i
Let p(c) = 72*c**3. Let u be p(1). Suppose 55*b = 43*b + 36. Find the third derivative of -u*x**2 + 3*x**3 + 82*x**2 - 27*x**b - 8*x**3 wrt x.
-192
Let n(t) be the second derivative of -68*t**6/5 - 2*t**4/3 - 25*t**3/2 - 2*t**2 - 1581*t. Find the third derivative of n(d) wrt d.
-9792*d
Let w(c) = 49*c + 201. Let n be w(-4). What is the third derivative of 3 - 79*b**n - 108*b**5 + 4*b**2 - 2*b**2 - 19*b**5 wrt b?
-12360*b**2
Let q be -4 - (-1)/(((-4)/(-20))/1). Find the second derivative of -116*u**2 - 2 - 5*u - q - 2 + 53*u**2 wrt u.
-126
Let v(m) be the second derivative of -1/2*m**2 + 23/30*m**6 + 1/20*m**5 + 0*m**4 + 0 - 19*m**3 + 47*m. Find the second derivative of v(f) wrt f.
276*f**2 + 6*f
Let q(z) = 10831*z**3 - 9099*z**2 + 51*z. Let m(b) = 3611*b**3 - 3037*b**2 + 18*b. Let a(c) = -17*m(c) + 6*q(c). Find the third derivative of a(s) wrt s.
21594
Let f(w) be the first derivative of w**3/3 + 1789*w**2/2 + 8066*w + 8699. What is the derivative of f(c) wrt c?
2*c + 1789
Let i(a) = -a - 7. Let m be i(-9). Let f be 6*(m/4 - (0 - 0)). Find the first derivative of 22*j**f + 8517*j - 8517*j - 5 wrt j.
66*j**2
Suppose 0 = -11*q + 6*q + 20. Suppose 3 - 1 = -q*p - 5*x, -3*x - 2 = 2*p. What is the third derivative of -5*n**2 - 7*n**p - 3*n**6 + 4*n**6 + 2*n**6 wrt n?
360*n**3
Suppose 25 = 5*n + 10. What is the derivative of -13 - 15 - 32 + 6*f - 7*f**n + 35 wrt f?
-21*f**2 + 6
Let z(q) = -2733*q**2 + 754*q + 27. Let h(d) = 3416*d**2 - 942*d - 33. Let w(i) = -9*h(i) - 11*z(i). What is the second derivative of w(u) wrt u?
-1362
Let d(l) be the third derivative of -31*l**9/126 + 353*l**5/30 - 868*l**2. Find the third derivative of d(v) wrt v.
-14880*v**3
Let g(v) be the second derivative of -491*v**6/6 - 2*v**3/3 + 61*v**2/2 - 32*v + 20. Find the second derivative of g(d) wrt d.
-29460*d**2
Let n = -19599 - -19602. Let t(x) be the first derivative of -1 + 0*x**n + 0*x**2 + 33/4*x**4 - 30*x. What is the derivative of t(z) wrt z?
99*z**2
Let q = 186 + -183. What is the second derivative of -60*l + 532*l**3 + 538*l**3 - 1062*l**q wrt l?
48*l
Suppose 4*r + 2*a - 69768 + 12968 = 0, 4*r - a - 56800 = 0. Differentiate -14116 + r - 98*u**2 + 92*u**2 + 247*u**2 with respect to u.
482*u
Let l(d) = -229*d**2 - 857. Let k(g) = -215*g**2 - 859. Let u(h) = -6*k(h) + 7*l(h). What is the first derivative of u(q) wrt q?
-626*q
Let t(h) be the first derivative of 31*h**6/15 - 55*h**2/2 + 27*h + 27. Let x(d) be the first derivative of t(d). Differentiate x(i) wrt i.
248*i**3
Let n(o) = -3*o + 36. Let s be n(11). Let z(p) = p - 1. Let h be z(s). Find the second derivative of -4*f**h + 5*f**2 - 14*f + 2*f**2 + 4*f**2 wrt f.
14
Suppose -2*w + 548 = 3*v, 2*v = -2*v + 5*w + 700. Differentiate 90*s + 87*s - v*s + 273 wrt s.
-3
Let c be (0/(-2))/((-16)/(-4) + -7). Suppose -2*u - 6 = c, -k - 2*u = 6 - 2. Find the third derivative of -8*v**2 + 51*v**2 + 8*v**3 - 12*v**k wrt v.
48
Let r(o) be the second derivative of -160*o**7/21 + 61*o**4/12 + 16*o**2 + 1065*o. What is the third derivative of r(g) wrt g?
-19200*g**2
Let m(k) = 2*k**2 + 1. Let f(a) = -1412*a**2 - 263*a + 4. Let r(q) = -f(q) + 6*m(q). What is the second derivative of r(o) wrt o?
2848
Let z(q) be the first derivative of 0*q**2 - 26 - 47/3*q**3 + 34*q**4 + 0*q. What is the third derivative of z(k) wrt k?
816
Let i(a) be the second derivative of 12*a**2 + 0*a**4 + 0 + 0*a**5 + 0*a**3 + 96*a - 3/2*a**6. What is the first derivative of i(z) wrt z?
-180*z**3
Let k = 626 + -568. Find the first derivative of 165 - t**3 - 23 + k + 37*t**2 + 10 - 3*t**2 wrt t.
-3*t**2 + 68*t
Find the second derivative of 0*p**2 + 4*p**2 - 579*p - 45*p**3 - 3536*p + p**2 + 58*p**3 wrt p.
78*p + 10
What is the second derivative of -11*o**3 - 516*o - 338*o**3 + 22*o**3 - 2*o**5 wrt o?
-40*o**3 - 1962*o
Let x(t) = -t**3 - 8*t**2 - 1. Let s(h) = -510*h**3 + 32*h**2 - 2537. Let k(q) = -s(q) - 4*x(q). What is the first derivative of k(y) wrt y?
1542*y**2
Let t = -491 + 496. Find the third derivative of 397*d**5 - 2*d**3 - 2*d**2 + 4*d**2 + 398*d**5 - 54*d - 804*d**t wrt d.
-540*d**2 - 12
Suppose 5*r - 45 = -10*r. Find the second derivative of -20*w + 27*w**2 + 18*w - r*w**4 - 20*w**2 + 202 wrt w.
-36*w**2 + 14
Let y(f) be the second derivative of 0*f**2 - 332*f + 0*f**3 + 0 + 2/15*f**6 + 15/4*f**4 + 3/20*f**5. What is the third derivative of y(n) wrt n?
96*n + 18
Suppose 0 = -24*o - 4*o + 364. What is the third derivative of 33*y - 12*y - 10*y - o*y - 85*y**3 - 52*y**2 wrt y?
-510
Let m be (21/6)/((-28)/(-16)). What is the first derivative of -26*x + 122 - 52*x + m*x wrt x?
-76
Let d(n) = n**2 - 12*n - 4. Let m be d(14). What is the third derivative of -21*o**2 + m*o**6 - 9407*o**4 + 9407*o**4 wrt o?
2880*o**3
Let a(u) = 468*u**2 - 1255*u - 8. Let j(r) = -5*r**2 + 2. Let t(v) = -a(v) - 4*j(v). Find the second derivative of t(p) wrt p.
-896
What is the third derivative of -2448*w**2 + 1508*w**2 - 4203*w**2 - 3019*w**2 + 9646*w**3 wrt w?
57876
Let i(f) = 0*f - 2*f - 6 + f. Let x(j) = 0 + 4 + 0*j**2 - 5 - j**2 - j. Let r(t) = -i(t) + 6*x(t). What is the second derivative of r(n) wrt n?
-12
Let m(q) = 1009*q**4 - 2*q**3 + 6*q + 1486. Let u(p) = 79712*p**4 - 159*p**3 + 477*p + 117395. Let y(v) = -159*m(v) + 2*u(v). Differentiate y(r) wrt r.
-4028*r**3
Let x = 116 + -70. Let c = x - 31. What is the second derivative of -p + 5*p**3 - 14*p - c*p + 9*p wrt p?
30*p
Let t be (-2)/4 + (1 - 23/2). Let n(o) = o**3 + 12*o**2 + 9*o - 18. Let j be n(t). What is the second derivative of x**j - 18*x - x - 13*x wrt x?
12*x**2
Let w(d) = -17*d**2 - 1352*d - 986. Let j(n) = -13*n**2 - 1351*n - 992. Let s(k) = 4*j(k) - 3*w(k). Differentiate s(b) with respect to b.
-2*b - 1348
Let f(t) = -502*t - 8. Let x be f(-38). Find the third derivative of 19068*u**4 - x*u**4 + 18 + 141*u**5 + 2*u**2 wrt u.
8460*u**2
Find the second derivative of 2104*y**2 + 1682*y**2 + 124*y**2 - 9*y - 2*y + 27 - 6*y wrt y.
7820
Suppose -582 - 1178 = -11*s. What is the first derivative of -32*v**3 + s + 151 - 355 wrt v?
-96*v**2
Let m(f) be the third derivative of 3853*f**4/24 - 803*f**3 - 103*f**2 - 4*f. What is the derivative of m(j) wrt j?
3853
Let k(f) = -455*f**3 - 4*f**2 - 8*f + 87. Let v(w) = 456*w**3 + 5*w**2 + 10*w - 86. Let p(r) = -5*k(r) - 4*v(r). Find the first derivative of p(j) wrt j.
1353*j**2
Find the first derivative of 2510 - 9569*s + 3748*s + 4161*s wrt s.
-1660
Let r(p) = -p**3 - 9*p**2 - p - 15. Let j be r(-4). Let f = j - -95. Find the second derivative of -33*y**f - 13*y + 5*y**4 - 7*y**4 wrt y.
-420*y**2
Let k be ((-12)/(-24))/(2/8). Differentiate -82*n**2 + 160*n**2 - 8 - 59*n**k - 4*n**3 wrt n.
-12*n**2 + 38*n
Suppose 14 - 94 = -4*v. Suppose 5 = 5*x, -j + 103 = 4*j + 3*x. What is the first derivative of j - 34 + 2*d + v wrt d?
2
Suppose 51*j - 30 = 41*j. Differentiate 118*y + 13*y**3 - 115*y + j*y**3 - 45 wrt y.
48*y**2 + 3
Suppose 6*y = -7*y + 182. What is the second derivative of -4*p**4 - 80*p + 85*p**3 + 2*p**4 - 14*p**2 + y*p**2 wrt p?
-24*p**2 + 510*p
Let m(c) = 17*c + 1. Let z(p) = 2308*p + 3843. Let o(g) = -2*m(g) + z(g). What is the first derivative of o(j) wrt j?
2274
Let l(j) = j - 9. Let n be l(10). Let v be 0/(n/(-1) + -1). Differentiate v*z**3 + 6*z**3 - 12*z**3 - 19 - 9*z**3 wrt z.
-45*z**2
What is the second derivative of 505*j + 74*j + 654*j + 2 + 1039*j**3 + 357*j**3 wrt j?
8376*j
Let x(g) be the first derivative of -g**7/7 + 13*g**6/6 - 5*g**4/2 + 2*g**3/3 + g**2/2 - 922*g - 2262. What is the third derivative of x(t) wrt t?
-120*t**3 + 780*t**2 - 60
Let n(r) be the second derivative of -71*r**4/4 - r**3/3 - 1160*r**2 + 2448*r. What is the second derivati | {
"pile_set_name": "DM Mathematics"
} |
4 + -7
-3
Calculate (-1 - -2 - 2) + -2 + 2.
-1
What is the value of 0 - (-4 + 3 - -2)?
-1
What is the value of -3 + (-3 - -5) - -3?
2
0 + 6 - (29 - 27)
4
What is the value of 1 - (0 - (4 + -1) - -6)?
-2
-12 - (8 + -16 + -5)
1
What is the value of (-3 - 2) + (4 - 8) + 5?
-4
What is -4 + (1 - 0 - 1) + 3?
-1
18 + -18 - (-6 + 1)
5
What is 4 - ((-5 + 3 - -5) + -1)?
2
-3 + (-1 - -3 - -4)
3
Calculate -4 + (2 - 4) - -2 - 0.
-4
What is (-140 - -143) + (-2 + -6 - 1)?
-6
1 + (10 - -1) + -7
5
What is the value of (8 - (10 - 11)) + -7?
2
What is (10 - 22) + 3 - -6?
-3
(4 + 0 - 13) + 15
6
Calculate 3 - (9 - (-7 + 3 + 12)).
2
8 - (5 - -6 - -1)
-4
What is (3 - (4 + -1)) + -3 - -1?
-2
What is (-6 - 2) + (4 - 7 - -11)?
0
-1 - (3 + 0 + -2)
-2
Evaluate 1 + -5 + -1 - 3.
-8
Calculate (0 - 2) + 10 - (12 + -9).
5
What is the value of (10 - (7 - 2)) + -3?
2
Evaluate -11 + 0 - -9 - 1.
-3
Calculate -8 - (-5 + 13 + -7 + 0).
-9
What is the value of 32 + -24 + (0 - 7)?
1
What is the value of (2 - 10) + 2 - (0 + -5)?
-1
What is (-9 - (-27 - -6)) + -12?
0
What is the value of 3 - (1 - (-7 - 0) - 5)?
0
What is 1 - (1 + 2 - -2)?
-4
What is (14 - (8 - 3)) + -10?
-1
What is (-10 - -16) + 4 + -14 + 6?
2
What is the value of (15 - (-2 + 13)) + (-2 - 9)?
-7
What is 2 - (-8 + 9 - 5)?
6
Calculate (17 - 18) + 0 + (0 - -1).
0
What is the value of -3 + 4 + (-5 - -2)?
-2
Evaluate 1 - 2 - (-6 + 15 - 5).
-5
Evaluate (-9 - -6) + (13 - 3).
7
8 + -6 - (15 - (4 + 3))
-6
Evaluate (2 - 2) + 4 + -3 + 2.
3
What is the value of (0 - -7) + (-8 + -13 - -12)?
-2
8 - (-7 + 9) - 13
-7
What is 4 - -1 - (-5 + (-3 - -10))?
3
-5 + 4 + (3 - (-6 - -4))
4
What is the value of -12 - (-1 + (1 - 6))?
-6
Calculate (-1 - -6) + -2 + -10.
-7
What is the value of -4 + 1 + 6 + (-5 - 0)?
-2
Calculate 1 - (-2 - -9 - 4).
-2
What is the value of -5 - (-8 + 13 + -10 + 2)?
-2
Evaluate -7 - -16 - (12 - 1).
-2
-2 + 0 + -11 + 11
-2
Calculate -4 + 0 + 14 + -2.
8
What is the value of -2 - (3 + 0 - 8)?
3
Evaluate 3 - -1 - (-12 - -5 - -8).
3
Calculate -7 + -14 + 1 + 21.
1
Evaluate -20 + 11 + -4 + -2 + 5.
-10
Evaluate 15 + -19 + 2 + -1 + 5.
2
Evaluate 1 - 1 - (-14 + -7 + 15).
6
Calculate (4 - 3 - 1) + -2.
-2
Calculate -7 + 1 - ((-7 - -15) + -14).
0
Evaluate 10 + (8 - (-2 + 13)).
7
Evaluate (1 - 1 - -2) + 13 + -16.
-1
Calculate -5 - 1 - (-2 - 1) - 2.
-5
Evaluate 1 + 5 + -2 + 0.
4
Calculate (-4 - -8 - 0 - 4) + 2.
2
What is 4 + 0 + (1 - 4)?
1
Calculate -5 - (-6 + -1 - -1).
1
What is the value of 5 - (-4 - -6) - (2 + 7)?
-6
113 + -112 - (2 - (-3 - -1))
-3
What is -4 + (2 - (-7 - -4))?
1
What is -6 + (1 - (1 - 5))?
-1
Calculate 4 + (5 - (6 - -6)).
-3
What is the value of -12 - -16 - (-1 + 9)?
-4
Calculate 3 + -4 - 4 - 1.
-6
What is -7 + -1 - (2 + (1 - 6))?
-5
5 + -1 + -9 + (5 - 3)
-3
Calculate 2 - (8 + (-1 - -2) + -2).
-5
8 - (7 + -4) - (1 + -2)
6
(-2 - (-1 + 4)) + (41 - 35)
1
Calculate 8 + 5 + 1 + -11.
3
Evaluate 3 + 1 + -4 - -1.
1
Evaluate 10 + -12 + 3 + -1.
0
Evaluate (-7 + 2 - 0) + (-4 - -12).
3
What is the value of 1 - (-11 + 8) - 9?
-5
Calculate -6 - (-3 - (4 - 1 - 3)).
-3
Calculate -9 + 4 + 10 + -4.
1
Calculate 28 - 22 - (0 - -12).
-6
What is (-3 - -6) + -1 - -2?
4
Evaluate -4 + (-5 - -6 - -8).
5
What is 4 - 2 - 1 - -1 - -2?
4
-1 - -7 - (79 - 72)
-1
What is -15 + 11 - (-2 + 0)?
-2
What is the value of -7 + 13 + (-7 - -1)?
0
(-9 - -1) + (13 - 3) + 5
7
9 + -1 - 2 - 9
-3
Evaluate -2 + 1 + 26 + -23.
2
What is -1 - 3 - (-11 - -9)?
-2
Calculate -13 + 10 + (-3 - -6).
0
What is (0 - -3) + -16 + 13?
0
Calculate -3 + (3 - (7 + 2)).
-9
Calculate -2 + -1 + 11 + (-4 - 0).
4
What is the value of 1 + (1 - (13 + -2)) - -2?
-7
-1 - (-3 + 10 + (-5 - 0))
-3
13 - (3 + 10 + -5)
5
What is -10 - ((11 - 15) + (1 - 0))?
-7
What is -4 - (-6 + 5 + -3)?
0
What is the value of (-8 - -15) + 1 + -11?
-3
Calculate (2 - (9 - 4)) + 2.
-1
What is 5 - (-3 + (4 - -2) + -4)?
6
What is the value of -17 + 20 + (1 - 1) + -6?
-3
-7 - (-8 - -9 - 9)
1
What is the value of -2 + ((-7 - 1) + 5 - -7)?
2
Calculate -1 + 11 + -5 - 1.
4
3 + -5 + (3 - -3) + -2
2
Calculate (5 - 11 - -2) + (-1 - -12).
7
What is -15 + (-3 + -2 - -13)?
-7
Evaluate (-2 - -1) + 0 + (-4 - -4).
-1
Calculate (0 - -1) + -4 + 1 + -1.
-3
Calculate 4 - 1 - (-2 - (2 + -5)).
2
Calculate -6 - -3 - -16 - 4 - 7.
2
Calculate 3 - (1 + (4 - 0)) - -2.
0
Evaluate -2 + (11 + -14 - (0 - 7)).
2
Calculate 0 - -4 - (5 - 0) - 3.
-4
What is the value of (2 - (4 + 4)) + 9 + 0?
3
Evaluate -4 + (-2 - (-4 - (1 - 1))).
-2
Evaluate -7 + (-3 - -21) - 6.
5
Evaluate 6 + (7 - 14) - (1 + -2).
0
What is -10 - (1 - 10 - 3)?
2
-15 + 8 + -1 + 1
-7
Evaluate (-13 + 6 + -1 - -1) + 5.
-2
(3 - (7 + -8)) + 2 + -3
3
What is the value of -5 + 1 + -3 + 17 + -14?
-4
What is 3 + (2 - 7 - 3)?
-5
What is the value of 1 - (-4 - -6) - 0?
-1
5 - (0 + 1 + -1) - 3
2
Evaluate (-9 - 2) + 11 + -3.
-3
Calculate -2 - ((-4 - -8) + -6).
0
-12 - (-2 - 4) - (1 - 9)
2
Evaluate -2 + 3 + (-1 - -1).
1
-30 + 3 + 7 + 9
-11
Calculate 1 - (-6 + (4 - 2)).
5
8 - 8 - (2 - -3)
-5
What is 7 + -4 - (-6 + 2)?
7
Evaluate 3 + 1 + -5 + 1 + -3.
-3
What is the value of 3 + -1 + 2 + -2 + -4?
-2
(0 - -2) + 0 - -1
3
3 + (-3 - 0 - -7) + -4
3
Calculate -2 + (0 + 3 - -4).
5
Calculate (1 - 4 - -3) + (0 - 1).
-1
Calculate 2 - (7 + -10 + (0 - -1)).
4
Calculate -3 - ((-3 - 3) + 7).
-4
Calculate -2 + -10 - (21 - 28).
-5
Calculate 2 + -3 - (1 - 1).
-1
(-12 - -7) + -9 + 14 + -1
-1
Evaluate 8 + (-2 - 0 - 5).
1
3 - ((4 - 11) + 8)
2
Evaluate -5 + 18 + -21 - -8.
0
Calculate -2 - -2 - (5 - 9 - -5).
-1
Calculate -6 - (8 - (16 + 2)).
4
Evaluate 4 - (0 - (6 - 5)).
5
What is -6 + 2 + -4 + 10?
2
Evaluate (-4 - 7) + 4 - -15.
8
What is 9 + -2 + (-10 - -7)?
4
Evaluate (7 - 0) + (0 - 4).
3
Calculate -7 - (0 - (-2 - 1)) - -3.
-7
Calculate (3 - (-1 + 1)) + (105 - 106).
2
Evaluate (1 - -3) + -7 + 2.
-1
What is 7 + -7 + -7 + 4 + 2?
-1
(5 + -1 - (-8 - -9)) + -7
-4
Calculate 3 + -8 + 8 - (4 + -4).
3
What is the value of (0 - -3 - 1) + 12 + -7?
7
Calculate -4 + -1 + (27 - (7 - -10)).
5
16 - (-10 + 17) - 9
0
What is the value of -4 - (-2 + 0) - 3?
-5
What is (5 - 4 - 0 - 0) + -2?
-1
What is the value of (-10 - -5) + 0 + (5 - 2)?
-2
Evaluate 27 - 23 - (2 + 0).
2
What is 3 - 5 - (1 + 1) - -10?
6
Evaluate 45 + -43 - (4 - (2 - 1)).
-1
Calculate -5 + 0 + -4 + 8.
-1
What is 5 + -7 + 4 + -8?
-6
(-9 - -4 - 9) + (1 - -5)
-8
-4 + -1 + 6 + 4 + -2
3
Calculate 2 + (0 + 3 - (2 + 5)).
-2
Calculate -1 - (6 + -4 + -3).
0
2 - (-2 + -1 - -3)
2
Evaluate -5 + (1 - -7) - (-1 - -3).
1
What is -3 + (7 - (-8 - -6))?
6
What is the value of 2 + 6 - 12 - 1?
-5
What is -9 + 8 + (5 - (5 + 4))?
-5
Calculate -6 + 6 - (0 - 0).
0
Calculate 4 - (-18 + 7 - -8).
7
-11 + 15 - (2 + 1)
1
What is the value of (0 - 3 - -4) + -1 - 3?
-3
Evaluate -2 + 4 - (-2 + 2).
2
What is the value of -4 + (0 - (-4 + 2)) + 6?
4
What is the value of -12 + 1 - (19 + -25)?
-5
2 + (-1 - (-1 + -4)) + -4
2
What is the value of (-3 + (2 - -5) - 3) + -2?
-1
Calculate -4 + 9 + 0 + -2.
3
Evaluate -3 + (-5 - (-4 - 2)) - 0.
-2
2 - (1 + -11 - -11)
1
Evaluate 5 + (-4 - (-1 + (-1 - -3))).
0
Calculate 6 - (-2 + 7 - 2).
3
What is the value of 3 + (-3 - -2) + -6 + 8?
4
Calculate -2 + -1 + -2 + 6.
1
Calculate (-3 - 6 - -9) + -2.
-2
What is -7 + (-3 - -11) - -4?
5
Calculate 0 - -3 - (-182 + 190).
-5
What is -1 + (-5 - 0) + 2?
-4
Evaluate (-8 - -11) + (4 - 6).
1
(3 - 3) + (3 - 5) + 2
0
Evaluate (-61 - -64) + (-1 - -1).
3
What is the value of (15 - (21 - 12)) + 0?
6
What is the value of (-2 - 1) + -5 + 6?
-2
Evaluate -4 - (-4 + -3) - -1.
4
Evaluate -4 + (1 + (3 - 4) - -1).
-3
Evaluate -2 - (-1 + -2 + 5).
-4
(8 - 9 - (-5 + 2)) + -1
1
-1 + -3 + (-1 + 0 - -4)
-1
What is 6 + (5 - (2 - -2))?
7
What is -1 + 4 - 3 - -3?
3
What is (0 - (-4 + 0) - 4) + 0?
0
Calculate 0 + -2 + 11 - (54 + -50).
5
What is 2 - 0 - (5 - 7)?
4
(9 - (7 + (4 - 10))) + -1
7
What is (1 - 2) + -2 + (10 - 10)?
-3
What is 3 + (3 - (-4 - -7))?
3
-1 + 0 - (-12 - -3)
8
Evaluate -2 + -6 - (-6 + 1).
-3
Evaluate (1 - 3) + 6 + 1 + -4.
1
Evaluate 8 - (-8 + 3 + 10).
3
-11 + 2 + 11 + 1
3
6 + (5 - 12 - 4)
-5
What is the value of 0 + -1 + 0 + (-3 - -4)?
0
11 + -9 - (-1 + 6) - 0
-3
What is the value of 2 - (3 - 6 - (1 + -1))?
5
What is the value of 0 - -1 - (-8 - -10)?
-1
(-5 - -1) + 4 + 4
4
What is the value of (-17 - -9) + (-1 - -9)?
0
3 + 6 + -5 | {
"pile_set_name": "DM Mathematics"
} |
(z) = 19*z**3 - 4 - 5*z**2 - 16*z**3 - 2*z**3. Let x be (-2)/5 + 62/5. Suppose -x = -u - 3*b + 1, 3*u - 15 = -b. What is r(u)?
-20
Let f(o) = -631*o**3 + 4*o + 36*o**2 - 5*o - 18 + 633*o**3. Let a be f(-18). Let z(l) = -l**3 - l**2 + l. What is z(a)?
0
Suppose 57*o - 392 = 113*o. Let t(y) = 10*y**2 + 7*y + 14*y**2 - 23*y**2 + 8. Determine t(o).
8
Let m(c) = -c + 12. Suppose -5*s = -3*g - 14, -s - s + 3*g + 2 = 0. Suppose 0 = -2*t - s + 28. Calculate m(t).
0
Let u(d) be the second derivative of -d**3/2 - 27*d**2/2 + 10*d. Let i be u(-7). Let j be (0 + 0)/(i - -9). Let y(z) = -z**3 + z**2 + z - 13. Give y(j).
-13
Let v(o) be the third derivative of -1/360*o**6 + 3*o**2 + 1/24*o**5 - 11/6*o**3 + 0 + 0*o + 3/8*o**4. Let r(g) be the first derivative of v(g). Give r(7).
-5
Let n(t) be the third derivative of -t**5/4 - t**4/8 + t**3/2 - 1442*t**2. Determine n(1).
-15
Let h be (-5 + 1 - -6)/((-4)/(-6)). Let n(b) = -4*b - 4. Let o(v) = -3*v + 16. Let m be o(6). Let w(i) = -5*i - 5. Let t(g) = h*n(g) + m*w(g). Give t(-2).
2
Let j(i) = i**3 - 31*i**2 + 30*i - 11. Let s = -7719 + 7749. What is j(s)?
-11
Let q(k) = -167*k - 494. Let m be q(-3). Let z(y) = -3*y + 14. Give z(m).
-7
Let f(a) be the first derivative of 1/3*a**3 + 35 - 7*a + 0*a**2 - 1/4*a**4. Determine f(0).
-7
Let q(s) = -s**2 - 5*s + 6. Let o(b) = -b. Let g(w) = -o(w) + q(w). Give g(-7).
-15
Let d(g) be the first derivative of g**5/15 - g**4/4 + 32*g**3/3 - 11. Let o(c) be the third derivative of d(c). What is o(4)?
26
Let s(r) = -r**2 - 6*r + 6. Suppose 13*y + 1499 - 1421 = 0. Calculate s(y).
6
Let g(r) = -r**3 - 6*r**2 - 6*r - 4. Suppose 0 - 16 = 2*b - 3*s, 2*b + 16 = 4*s. Let u(y) = y**3 + 9*y**2 + y - 11. Let x be u(b). Let v = x - 49. What is g(v)?
-12
Let z(b) = b**3 + 7*b**2 + 14*b + 22. Let x(a) = -a**3 + 4*a**2 - 5. Let n be x(2). Suppose 15 = -4*y + 5*h, 0*h = 3*h + n. What is z(y)?
2
Let y = -13342 + 13365. Let c(n) = -3*n + 91. Calculate c(y).
22
Let l(q) be the first derivative of -q**4/4 - 3*q**3 + q + 817. What is l(-9)?
1
Let l(a) = a**3 - 11*a**2 - a + 1. Let d = 393 - 388. Let r = d - -6. Determine l(r).
-10
Let l(h) = -3*h**2 + 2*h + 5. Suppose -62*z + 70*z - 32 = 0. Suppose -4 = -0*o - z*o - 2*s, 4*o - 8 = -s. Give l(o).
-16
Suppose 12*l = 33*l + 147. Let b(o) be the second derivative of o**3/6 + 13*o**2/2 + 14*o. Calculate b(l).
6
Let r be (-156)/(-234)*(-1 - (1 - 11)). Let l(o) = 12*o - 71. Calculate l(r).
1
Suppose 0 = -4*w, -3*t = 36*w - 35*w - 585. Let s = 189 - t. Let m(f) = f**2 + 2*f + 3. Calculate m(s).
27
Let t(b) = -b**3 - 3*b**2 - 3*b - 2. Let g(o) be the first derivative of -o**2/2 - 2*o - 33. Let l be g(-6). Let d be (1 - (-12)/l) + -7. What is t(d)?
7
Let o(v) = 3*v**3 - 18*v**2 - 18*v + 12. Suppose 0 = 147*h - 26*h - 847. Give o(h).
33
Suppose 7 - 28 = -3*s. Let k(p) = 153*p - 239*p + 8 + 151*p - 64*p. Determine k(s).
15
Let g(k) = 7*k**3 - 17*k**2 - 23*k - 13. Let x(o) = 4*o**3 - 9*o**2 - 12*o - 8. Let p(l) = 3*g(l) - 5*x(l). Give p(6).
-53
Let t(c) = -3*c + 10. Suppose -7*i - 120 = -99. Let w(v) = 3*v - 4. Let j(y) = i*w(y) - 2*t(y). Give j(-5).
7
Let v(m) = -20*m. Let w(n) = n - 4. Let f be w(6). Suppose 0 = 3*x + 3*c - 12, 5*x - 22*c - 12 = -23*c. Suppose -f*h = 6, -h - x*h - 8 = u. What is v(u)?
-20
Let c(a) = a**2 + 7. Suppose -s + 3 + 7 = r, 2*s - 8 = 0. Suppose 3*q + 4*q + r*q = 0. Determine c(q).
7
Let s(v) = v - 7. Let i be s(0). Let u(o) = o**2 - 3. Let p(n) = n**2 - 4*n + 11. Let x(w) = p(w) - 2*u(w). Calculate x(i).
-4
Suppose u + 2*d = -6, -10 = -3*d + 5*d. Let g(p) = 2 - 1696*p + 1692*p - u. Calculate g(-4).
14
Let x(t) = -t**3 - 10*t**2 - 7*t + 3. Let z(c) = 19*c**2 - 111*c - 1. Let d be z(7). Suppose -2*h = 15*h + d. Calculate x(h).
-15
Let x(s) = -59*s**3 + 2*s**2 + 3*s - 4. Suppose 26 = 35386*p - 35360*p. Calculate x(p).
-58
Let o(b) = -5*b - 7. Let t(w) = w - 1. Let s(g) = o(g) - 2*t(g). Let h(l) = -4*l - 3. Let p(n) = -11*h(n) + 6*s(n). Calculate p(-6).
-9
Let o(p) = p**2 + 2*p + 6. Let b(h) = h**3 - 32*h**2 - 36*h + 99. Let g be 42/56 + (-3 - (-141)/4). Let r be b(g). Calculate o(r).
6
Suppose 255*f - 2*l = 259*f + 54, -3*f - 43 = 2*l. Let p(w) = w**2 + 7*w - 46. Calculate p(f).
-2
Let z(y) = y + 47*y**2 + 1112*y**2 - 1158*y**2 + 12*y**3. Suppose -m - 5*p + 13 = m, p = 5*m + 8. Give z(m).
-12
Let u(t) = t**3 + 12*t**2 + t - 12. Suppose -14*p + 18*p + 20 = 0, 4*p = -3*i + 160. Suppose 2*n = -4*k - 24, 10*k - 12*k = 5*n + i. Give u(n).
-24
Suppose -94*c + 105*c - 88 = 0. Let q(h) = -h - c*h - 1 + 0*h + 15*h - 7*h. Give q(-5).
4
Let k = -35 - -47. Suppose -10*y + 32 = -k*y. Let v be -1 + (y - -1)/(-3). Let q(g) = g**3 - 4*g**2 - 2*g + 1. Determine q(v).
-7
Let y(p) = -p**3 - 4*p**2 + p + 9. Let f(h) = 4*h**2 + 66*h + 28. Let u be f(-16). Determine y(u).
5
Suppose -2*h - 10 = 5*i, 13*i - 12*i = -5*h + 21. Let a be 1/(-2)*(-4 + 0). Let x(d) = d**2 - 5*d + 3 - 2*d**3 + 5*d**3 - a*d**3. What is x(i)?
-25
Let v(i) = 2*i**3 + 3*i**2 - 5*i + 5. Suppose 8*c + 735 = 751. Calculate v(c).
23
Suppose -61*f - 28 = -59*f. Let q be (16/f)/((-236)/(-826)). Let b(m) = -m**3 - 3*m**2 + 5*m + 2. Calculate b(q).
-2
Let f = -1245 + 1251. Let z(g) = -3*g + 25. What is z(f)?
7
Let x(k) = 3 + 0 + 205*k - 80*k - 62*k - 60*k. Determine x(-2).
-3
Let d(k) = 5*k - 1. Let w = 81 - 67. Suppose 1 = -13*o + w. Calculate d(o).
4
Let o = -113 - -98. Let d = -12 - o. Let s(f) = -5*f**2 + 2*f + 8. Let x(z) = -14*z**2 + 6*z + 23. Let u(p) = -11*s(p) + 4*x(p). Give u(d).
1
Let o(z) = z**3 - 8*z**2 - 6*z + 75. Let t be o(8). Suppose h + t*h = 168. Let q(a) = -a**2 + 3*a - 6. Determine q(h).
-24
Let d(y) = -40*y**3 - 2*y + 3. Let u = -223 - -215. Let g(x) = -13*x**3 - x + 1. Let o(s) = u*g(s) + 3*d(s). What is o(-1)?
15
Suppose -109*d - 7 = -106*d + 11. Let m(o) = -28*o - 16. Let y(v) = -9*v - 5. Let b(k) = 5*m(k) - 16*y(k). Give b(d).
-24
Suppose 5*m = -2*v - 13, 0 = -v - 12*m + 9*m - 8. Let g(b) = -83*b**3 + 2*b**2 - 2*b + 1. What is g(v)?
-82
Let j(f) be the first derivative of -f**3/3 + 5*f**2/2 + 2*f + 163. Let d(y) = y**2 - 2*y - 4. Let x be d(4). Let t be (-448)/(-72) - x/18. What is j(t)?
-4
Let d(j) be the first derivative of j**3/3 - 11*j**2/2 + 19*j + 3278. Determine d(6).
-11
Let d be ((-2)/2)/(-5 + (-24)/(-5)). Let f(g) be the third derivative of g**4/6 - 7*g**3/6 + 3*g**2 + 549*g. Give f(d).
13
Let d = -71 + 74. Let t(k) = -d - 2 + 2 + 2*k - 1. Calculate t(-3).
-10
Let p(n) = n**3 - 9*n**2 + 8*n - 7. Let z be 7/(42/(-12)) - -236. Let h = 242 - z. Calculate p(h).
-7
Let c(k) = -k**3 - 18*k**2 - 11*k + 11. Suppose 9231 = 313*w - 856*w. What is c(w)?
-91
Suppose -54*w + 41*w = -91. Let y(j) = j**2 - 8*j. Let m(f) = 2*f**3 + f**2 - f - 1. Let v be m(-1). Let t(z) = 1. Let i(h) = v*y(h) - 4*t(h). What is i(w)?
3
Let y = -10297 + 10305. Let b(z) = -8*z + 65. Determine b(y).
1
Suppose 19 = 5*j + 3*w, 10*j = 8*j + 4*w - 8. Let y(t) = 1 + 14*t**j - 808*t + 402*t + 405*t. Calculate y(1).
14
Let m be ((-16)/(-8) - 13) + 3. Let u be m - 3 - 4 - (-30)/5. Let p(n) = -n**3 - 8*n**2 + 8*n - 12. Give p(u).
-3
Let i(a) = -2*a**3 + 5*a**2 - 2*a + 15. Suppose -503*z = -536*z + 99. What is i(z)?
0
Let a(l) = l**3 + 5*l**2 - 5*l + 4. Let p be (-7)/(28/152) - 2. Suppose -46 = q + 5*x - 5, 5*x + 225 = -5*q. Let w = q - p. Calculate a(w).
-2
Let h(z) = -3*z + 1. Suppose 8*f - 13*f + m + 27 = 0, -2*f = m - 8. Suppose -f*j - 103 + 93 = 0. What is h(j)?
7
Let y(p) = 5*p + 29. Let k(z) = 39*z**2 - 340*z - 18. Let l(m) = 10*m**2 - 85*m - 4. Let g(s) = -2*k(s) + 9*l(s). Let t be g(7). Determine y(t).
-6
Let q(x) be the second derivative of -x**5/20 - x**4/12 + x**3/3 - 3*x**2/2 - 60*x + 2. Let n be q(0). Let v(p) = -2*p - 4. Calculate v(n).
2
Suppose 0 = 162*o - 885 + 303 - 1200. Let v(i) = 2*i**2 - 22*i + 14. Determine v(o).
14
Let n(b) = 10 + 2124*b + 2129*b + 2127*b - 6389*b. Calculate n(-2).
28
Let j(f) = 5*f**3 + 11*f**2 + 11*f + 22. Let g(k) = -2*k**3 - 6*k**2 - 5*k - 12. Let d(b) = -9*g(b) - 4*j(b). Determine d(5).
25
Let s(d) be the second derivative of d + 1/6*d**3 + 1/12*d**4 - 2 - d**2. Suppose -4*a + 16 = 4*t - 0*t, 0 = -3*t + 5*a - 20. What is s(t)?
-2
Let c(t) be the first derivative of -t**2/2 + 3*t - 3. Suppose -4*f - 6 = -7*f - 3*k, 5*k = 5*f - 50. Give c(f).
-3
Let a(r) | {
"pile_set_name": "DM Mathematics"
} |
sitive.
r**(-27149/851)
Simplify (r/(r**(-2)/r)*r**4*r*(r/(r*r/(r/(r*r*r/r**1*r))*r))**(-4))**(-21) assuming r is positive.
r**(-525)
Simplify ((c*c**29)/c)**38*(c*c**(-30)/c)/(c**(2/9)/c) assuming c is positive.
c**(9655/9)
Simplify (z**1)**(-1/5)*(z**(-3))**(-1/35) assuming z is positive.
z**(-4/35)
Simplify (f**(-4/5))**(2/29)*(f**(3/8))**(-4/9) assuming f is positive.
f**(-193/870)
Simplify (h**(-2/7)*h*h)**(-2)/(h**(-8)*h*h/(h**(9/2)/h)) assuming h is positive.
h**(85/14)
Simplify j*j**(-3/13)*j**(-22)/j*(j*(j/j**(2/5))/j)**(-31) assuming j is positive.
j**(-2654/65)
Simplify (t**(-2/3)/t**4*t**(-2)/((t*t**6/t*t*t)/t))**(2/35) assuming t is positive.
t**(-82/105)
Simplify ((u*u**2*u)/u)**45*u**(-1)*u*u**(-12) assuming u is positive.
u**123
Simplify (((a**(-2/9))**(-3/4))**(1/5))**(-3/50) assuming a is positive.
a**(-1/500)
Simplify (m**(2/45)/m)**21*m**(-16)*m/m**(23/2) assuming m is positive.
m**(-1397/30)
Simplify (((d/(d/d**6))/(d**(-1/6)/d))**(-2/45))**(-10) assuming d is positive.
d**(86/27)
Simplify (i**(-2))**1*(i*(i/(i**(1/4)/i*i*i)*i)/i)**(-1/24) assuming i is positive.
i**(-65/32)
Simplify ((p*p**(-2/5)*p)/(p/p**(-10/7)))/((p/(p*p**(3/2)))/(p*p*p/(p/(p**(-8/7)*p)))) assuming p is positive.
p**(177/70)
Simplify (r/(r*r**8)*r**(3/2)*r*r)/(r/(r/(r**(-4)/r)))**(12/11) assuming r is positive.
r**(21/22)
Simplify (c**(-1/9))**(-20/7)/(c**(2/3)*c)**(4/17) assuming c is positive.
c**(-80/1071)
Simplify (y/y**0*(y*y**(-12))/y)/(y**0/(y/y**1)) assuming y is positive.
y**(-11)
Simplify (((w**1)**42)**(5/2))**(-1/12) assuming w is positive.
w**(-35/4)
Simplify o**(-1/20)*o**(-4)*o**14*o**(1/29) assuming o is positive.
o**(5791/580)
Simplify (v**12*v*v**(-1)*((v/(v/v**(1/4)))/v)**(6/23))**(-19) assuming v is positive.
v**(-10317/46)
Simplify ((g**(-21/5)/g)/(g**(21/4)/g))/(g/(g/((g*g/(g*(g*g**(-3))/g*g*g))/g)*g))**(1/19) assuming g is positive.
g**(-189/20)
Simplify (x*x**12)/(x*x**12)*(x**11/x)/((x*x*x*x**4)/x*x*x*x) assuming x is positive.
x
Simplify q**(-11)*q**(-9)/q*q*q**(3/13)/q**3 assuming q is positive.
q**(-296/13)
Simplify l**4*l/(l*l**6)*(l*l**(-10/7))/(l*l/l**11*l) assuming l is positive.
l**(39/7)
Simplify ((j/(j/((j*j/(j*j**25*j)*j)/j)))/j**(-12))/(j*j**(-25/2))**(-39) assuming j is positive.
j**(-923/2)
Simplify ((u**(-1/5)/(u**(4/11)*u))/((u*u**(-2/3))/u*u)**(-2/11))**8 assuming u is positive.
u**(-1984/165)
Simplify q**(-7)*q*q**(-1/2)*((q*q**(-2/5)*q)/q)**(-16) assuming q is positive.
q**(-161/10)
Simplify (l**(1/2)*l*l**(-1/8)*l**(-7)/(l/l**6))**(-7) assuming l is positive.
l**(35/8)
Simplify ((l**(4/9)*l)/((l*(l/(l**(-7)/l))/l*l*l)/l)*l*(l/l**(-6/5))/l*l**(7/3))**(1/17) assuming l is positive.
l**(-181/765)
Simplify ((g*((((g/(g*g**(-4/5)*g)*g)/g)/g)/g)/g*g)/g**(1/3)*(g**(-1))**(-5/9))**(7/3) assuming g is positive.
g**(-308/135)
Simplify (q/(q**18/q*q*q)*q)/q*q**(12/5)*(q**(-6)/q)**(-13) assuming q is positive.
q**(377/5)
Simplify ((v**(-1/3)*v*v*v)/v**(-3))/(v/v**0)**(18/5) assuming v is positive.
v**(31/15)
Simplify (l**20*(l/l**(-7))/l*l)/(l/l**(-18)*l/l**(2/49)) assuming l is positive.
l**(394/49)
Simplify (((x/(x/(x/(x*(x/(x/x**(2/5)))/x))))/x)**(3/4)*x*x**(3/11)/x*x**11*x)**(-7) assuming x is positive.
x**(-9219/110)
Simplify ((s/s**(1/31))/s**(-24))/(s**(-19))**46 assuming s is positive.
s**(27868/31)
Simplify ((p/((p**16/p*p)/p))/(p/p**(-10)))/(p**24/p*p**14) assuming p is positive.
p**(-62)
Simplify ((j/(j/(j**(-6)/j)))/j*j**10*j)**31 assuming j is positive.
j**93
Simplify (q*q**(19/2)*q*q*q)/q**(-5/4)*(q/(q*q**6))/(q*q/(((q/q**(-14))/q)/q)) assuming q is positive.
q**(79/4)
Simplify n**3*n*((n*n**(1/6))/n)/n*(n**3)**(-41) assuming n is positive.
n**(-719/6)
Simplify w/(((w/w**(6/5))/w)/w)*w**11/w*(w**13/w)/(w/w**(-2/63)) assuming w is positive.
w**(7613/315)
Simplify (j/(j/(j/j**6)*j)*j*(((j*j*j**(5/7)*j)/j)/j)/j*j*j)**21 assuming j is positive.
j**(-48)
Simplify u**5*u*u*u**(-15)*u*u**14/(u/(u*u**(-3))) assuming u is positive.
u**4
Simplify (i/(i/(i*(i*i/(i*i**(-5/3)))/i*i)*i)*i*i*((i*i**(-10/11)/i)/i)/i)/(i**21*(i/((i/(i*i/i**(-2/15))*i)/i))/i*i) assuming i is positive.
i**(-3527/165)
Simplify (r**(-1/27)*r*(r/(((r/((r/(r*r/(r**(6/17)/r)*r))/r*r)*r)/r)/r)*r)/r)/((((r*r/(r*r*r**8*r))/r)/r*r)/r**4) assuming r is positive.
r**(6112/459)
Simplify ((v**10/v**7)/(v**(-2))**(3/7))**(6/17) assuming v is positive.
v**(162/119)
Simplify (n*n**2/n)/n**(-2/9)*((n/((n*n*n*n**(-3/5)*n)/n)*n)/n*n)/(n/(n/(n/(n*n**1/n)))) assuming n is positive.
n**(82/45)
Simplify (m/m**37*m**(1/3))/(m**(-6)/m**(1/25)) assuming m is positive.
m**(-2222/75)
Simplify (q**2*q)**(-6/11)*(q*q**2*q*q)**(2/9) assuming q is positive.
q**(-52/99)
Simplify f/f**(-16)*f*f*f**(-1/36)*(f/(f*((f*f**(1/30))/f)/f*f)*f)/f*(f/f**(-23))/f assuming f is positive.
f**(7549/180)
Simplify ((q*q**(-6/13)/q)/q**(-3))/(q**(2/5))**(-4/7) assuming q is positive.
q**(1259/455)
Simplify (((c/(c/c**12))/c*c)**(-2/31))**(-13) assuming c is positive.
c**(312/31)
Simplify (o**16*o/(o*o**(-3/4)))/(o/o**(-2/19))**(-49) assuming o is positive.
o**(5389/76)
Simplify (v*v**(-14))/(v*v**(7/5)/v)*(v*v**(-1))**(3/8) assuming v is positive.
v**(-72/5)
Simplify (t**(-1/2)*t**(-2/7)*t**(1/4)/(t/(t*t/((t**6*t)/t))*t))**(-21) assuming t is positive.
t**(549/4)
Simplify (l/(l**1*l))**(-3/14)/(((l/(l/(l**(-5)*l)))/l*l)/l)**37 assuming l is positive.
l**(2593/14)
Simplify (b**(-1))**(-10)/(b**(-1/6))**(-1) assuming b is positive.
b**(59/6)
Simplify (a/(a*a**9*a)*a**(-24))**(-4/13) assuming a is positive.
a**(136/13)
Simplify ((h**3/h**6)/(h**(-2/13)/(h/h**(-1/8))))**(-29) assuming h is positive.
h**(5191/104)
Simplify (a*a**(-1/11))/(a*a**(-1/8))*(a*a**4*a*a)**48 assuming a is positive.
a**(29571/88)
Simplify (j**(-6)/(j*j**3)*(j**(-2/7)/j)**39)**45 assuming j is positive.
j**(-18945/7)
Simplify (i**(-5)*i/((i/(i*i/(i*i/(i*i**(-3)))*i*i*i))/i*i))/((i*i**(-11))/i**14) assuming i is positive.
i**20
Simplify ((k*((k*k**(-16))/k*k)/k)/k)**33*k**19/(k/(k*(k*k**(2/5)*k)/k)) assuming k is positive.
k**(-2538/5)
Simplify ((u**14/u)/(u**(-4/7)*u*u))/((u*u**(-2)*u)/(u*u**(8/9)/u)) assuming u is positive.
u**(785/63)
Simplify (u*(u*u**(-8))/u*u)/u*u**(5/4)*(u*u**(-2/3))/u**(-7) assuming u is positive.
u**(19/12)
Simplify l**(-2/3)*l*l**(-9/5)*(l*l**5*l)/l*(l/(l**(-8)*l))/l assuming l is positive.
l**(173/15)
Simplify ((k*k**(-1/5)/k*k)/k*(k*k*k**30/k*k*k)/k)**(-35) assuming k is positive.
k**(-1113)
Simplify ((r*r**(-1/2))/r)**(2/159)/(r*r/(r**1*r)*r*r**2*r) assuming r is positive.
r**(-637/159)
Simplify ((q**(-10))**(18/11))**(-5/9) assuming q is positive.
q**(100/11)
Simplify ((a**(4/7)*a)/(a*a/a**(-4))*(a**(-2)*a)/a**0)**(2/127) assuming a is positive.
a**(-76/889)
Simplify i**(-12)*(i**8/i*i)/i*i*i/(i/(i/(i/(i*i**4*i))))*i*i**(-8) assuming i is positive.
i**(-5)
Simplify (g**(2/15)/g)/g**2*(g*g**8)/(g*(((g/g**6)/g)/g)/g) assuming g is positive.
g**(197/15)
Simplify (((((u/(u**(2/5)*u))/u)/u)/u*u)/(u/u**(3/8))*u*u*u**(11/5)*u*u*u**2)**(-2/25) assuming u is positive.
u**(-207/500)
Simplify ((u**(-10/3))**(25/3))**(-5) assuming u is positive.
u**(1250/9)
Simplify (g**(6/17)/g**(2/3))/(((g/(g/g**2))/g)/g*g**(-4)) assuming g is positive.
g**(188/51)
Simplify ((b/((b/b**(-5))/b)*b**0)**(-31))**(-43) assuming b is positive.
b**(-5332)
Simplify f**(-24)/f**(-5)*f*f**1*f*f**(3/4) assuming f is positive.
f**(-61/4)
Simplify o**(-1/30)/(o/o**(-7))*o/((o**(-2/31)/o)/o)*o/o**(2/11) assuming o is positive.
o**(-42461/10230)
Simplify (u**16*u/u**(-7/4))/(u*u/u**12)**3 assuming u is positive.
u**(195/4)
Simplify (n**(5/3)*((n**(-1/9)*n)/n)/n)/(n*n**(-8/5)*n*(n*n**(1/20)/n)/n*n) assuming n is positive.
n**(19/180)
Simplify (i/(i/i**(-4/7))*i**(1/7))/((i/(i/(i*i**(-3/16)))*i)/(i*i**(1/17))) assuming i is positive.
i**(-2251/1904)
Simplify l**(-3/13)*(l*l**(4/3)*l*l*l)/l*l**(4/15)*l*l**(1/4)/l assuming l is positive.
l**(1201/260)
Simplify a/((a/(a/(a**(-1/24)*a*a)*a*a)*a)/a*a)*a*a**14*(a**(-2)/a)/((a**(1/3)*a*a)/a) assuming a is positive.
a**(257/24)
Simplify (o**4/o*o**(-7)*(o**(-2/17)/o)/(o/o**7))**7 assuming o is positive.
o**(105/17)
Simplify (((t**(-2/9))**(-3/5))**(-3/13))**(28/3) assuming t is positive.
t**(-56/195)
Simplify (n/n**(-12)*n*n*((n*n/n**(-2/11))/n)/n)/(n**10*n**(-1/3)) assuming n is positiv | {
"pile_set_name": "DM Mathematics"
} |
se
Is 183460 equal to 183359?
False
Is -1178149 at most -1178140?
True
Which is smaller: 251 or 80773?
251
Which is smaller: -392747 or -392746?
-392747
Which is smaller: -1 or 64/6344545?
-1
Which is smaller: -187867390 or 1?
-187867390
Which is bigger: 195335/59 or 3311?
3311
Is 8/13934507 > 1?
False
Is 87012888 less than or equal to 87012886?
False
Which is bigger: 46223 or 45998?
46223
Is 81 at most -868049?
False
Is 1 equal to -2/327638049?
False
Which is bigger: 5547967 or 5547968?
5547968
Are -1 and 581/152461 non-equal?
True
Which is smaller: -94134 or -94079?
-94134
Is 1/74438443 smaller than 1?
True
Which is bigger: 96810 or 97452?
97452
Which is bigger: -2208 or -15336?
-2208
Which is smaller: 0.1 or 467/338?
0.1
Is 7665.78 greater than -232?
True
Is 1 > -33465279?
True
Is 1 not equal to -1/727781242?
True
Are -774182 and -2322547/3 unequal?
True
Which is greater: 16 or -20640730?
16
Which is greater: -44/6004975 or -1?
-44/6004975
Which is bigger: -9622 or 2422?
2422
Is -1 >= 626/2730069?
False
Which is greater: 110859 or 6429825/58?
6429825/58
Which is smaller: 30 or 3238/105?
30
Is 2 at most 23321/11632?
True
Does 138637576 = 138637579?
False
Is -1 at least as big as 43/157392?
False
Which is greater: -21/1172345 or -1?
-21/1172345
Do -328/7 and -1386 have the same value?
False
Which is bigger: 298023 or 300524?
300524
Is -1325574 not equal to -1325535?
True
Is 328494 equal to 328492?
False
Which is bigger: 22/5 or 0.116288?
22/5
Is -368929 bigger than -368878?
False
Which is smaller: 27315436 or 81946309/3?
27315436
Which is smaller: 84510 or 82698?
82698
Is -217794/67 at most -3250?
True
Which is smaller: -7616860 or -7616917?
-7616917
Is 53546044 > 53546043?
True
Which is smaller: -5593/18066 or -1?
-1
Which is smaller: -56580 or -3/26?
-56580
Is -9646 at least as big as -43179?
True
Which is smaller: -449/862435 or 1?
-449/862435
Is -241801 <= -236446?
True
Are -1431203 and -1431236 nonequal?
True
Which is smaller: -0.3 or 14418066.1?
-0.3
Which is smaller: 1675756 or 1675787?
1675756
Which is smaller: 72 or 17291.63?
72
Is 0 greater than or equal to 14/67591761?
False
Is -9242313 at least -9242307?
False
Does 58.882 = 197?
False
Which is bigger: 106487/3100 or 33?
106487/3100
Is -1/11292358 > -1?
True
Which is smaller: 1268.716 or -6?
-6
Which is greater: 147 or 71326/485?
71326/485
Which is bigger: 13/3718739 or 0?
13/3718739
Which is greater: 10137/2 or -4526?
10137/2
Which is smaller: -408054 or -408001?
-408054
Which is smaller: 1/662349 or 0.17?
1/662349
Is 167/258278 >= 1?
False
Which is smaller: 64890 or 65124?
64890
Which is bigger: 420342768/13 or 32334058?
420342768/13
Which is greater: -19/5 or -1965052?
-19/5
Are -0.04 and 251608536 equal?
False
Is 14/17 less than 3773368?
True
Are -116934/239 and -488 unequal?
True
Is -6/58708807 less than 1?
True
Are -883 and -66235 nonequal?
True
Does 1 = 95/7241636?
False
Are 1 and 13/16890703 non-equal?
True
Which is greater: 23320 or 18334?
23320
Is -1309984 greater than or equal to -1309968?
False
Is -89453241 at least -89453242?
True
Which is smaller: -424106/11209 or -39?
-39
Is -110514242 less than -110514242?
False
Is 23709672 <= 118548366/5?
True
Is -143913423 smaller than 0.1?
True
Which is smaller: -293975 or -293981?
-293981
Which is greater: -1/53133262 or 1?
1
Which is greater: 200 or 47980?
47980
Are -4808404 and -62509244/13 equal?
False
Is 3417823581 != 3417823582?
True
Which is smaller: 0 or -7150/77829?
-7150/77829
Which is bigger: -5133 or -0.021?
-0.021
Are 8506.4 and 489 nonequal?
True
Which is bigger: -45 or -6016056?
-45
Which is smaller: 100657 or -296?
-296
Which is bigger: -5325146 or -3/4?
-3/4
Is -249496 != -47?
True
Which is smaller: -8869568 or -8869570?
-8869570
Is 4533583 not equal to 4533582?
True
Which is smaller: 179125 or 177963?
177963
Which is greater: -0.022 or 27629?
27629
Is 14837658 >= -0.1?
True
Which is bigger: 45811/205 or 222?
45811/205
Is 1984287/4 at least as big as 496073?
False
Are -1801944 and -1801941 equal?
False
Which is greater: -40323259 or -40323260?
-40323259
Are -96634 and 2/117 nonequal?
True
Is -11412 equal to 0.0312?
False
Which is greater: -1800142 or -1800107?
-1800107
Which is smaller: 1428/11 or 304433?
1428/11
Is -20792964 less than -20792964?
False
Is -271597 >= -271634?
True
Which is smaller: 207 or 0.00644?
0.00644
Are 41406008 and 41406023 nonequal?
True
Are 409105 and 409103 unequal?
True
Which is bigger: -574 or 1.9939?
1.9939
Are -303059738 and -303059738 non-equal?
False
Which is smaller: 4694 or 286244/61?
286244/61
Is -2910 <= -3087?
False
Is -1 <= 388/15851?
True
Which is smaller: -261091/299 or -872?
-261091/299
Which is bigger: 26297572 or 26297570?
26297572
Which is bigger: -16466 or -905583/55?
-905583/55
Is 10/3989989 greater than or equal to -1?
True
Is -3448910 at least as big as -3448904?
False
Which is bigger: -1009368/1939 or -520?
-520
Is 10305202 less than 10305203?
True
Which is bigger: -259882 or -262083?
-259882
Which is bigger: 54733 or 54735?
54735
Which is smaller: 15541407 or 15541408?
15541407
Which is smaller: -1/297 or -87.5847?
-87.5847
Is -167288458 at least -167288458?
True
Is 2332717/16 at most 145795?
True
Is -962/3655 > -1?
True
Is -9682100/17 > -569535?
False
Which is greater: 1.32519 or 166/21?
166/21
Which is smaller: -3082080/17 or -181299?
-181299
Is 7520980 at least 7521014?
False
Is -138/84527 at most as big as 1?
True
Which is smaller: -39061144 or -39061140?
-39061144
Which is smaller: 1 or 3353/9257?
3353/9257
Which is bigger: 0 or 116/5479387?
116/5479387
Which is smaller: -1 or 1/329307928?
-1
Is 43889593 not equal to 43889594?
True
Are -3/7313231 and -1 unequal?
True
Is -10/46641 at most as big as 0?
True
Which is greater: 3767 or 889?
3767
Is -16507773 smaller than -16507773?
False
Is -1082.861 < -2/27?
True
Is -0.48 at least as big as -1120863?
True
Do -1/8 and -182.08901 have the same value?
False
Which is smaller: 479339297 or 479339296?
479339296
Which is bigger: -128523334 or -128523327?
-128523327
Which is smaller: -1 or -6/705805?
-1
Is 0.15229761 less than or equal to 0.4?
True
Which is smaller: -10 or -16528/1597?
-16528/1597
Which is greater: -117 or -35747?
-117
Which is smaller: 36881094/31 or 1189712?
1189712
Which is smaller: -73337371/18 or -4074298?
-73337371/18
Which is bigger: 2/13142013 or -1?
2/13142013
Is -6513 > -1999416/307?
False
Which is bigger: 291.2 or 771?
771
Are 1440 and 451/8 non-equal?
True
Is 1 at least 22/665279?
True
Which is bigger: 1482 or 1521503/1026?
1521503/1026
Which is bigger: 4258 or 472550/111?
4258
Which is smaller: 79.92 or -3392?
-3392
Which is greater: -10 or 0.04305481?
0.04305481
Is 1 smaller than 1/44754690?
False
Is -3516/316297 at least as big as -1?
True
Is 239701/46 at least 5210?
True
Is 2/7 bigger than 1/363006?
True
Which is bigger: -34.49 or -2264?
-34.49
Which is bigger: 6 or 7425/1277?
6
Which is greater: -5006 or -3292?
-3292
Is -1 smaller than -86196771?
False
Is -1678 at least -393235?
True
Is 26981 at most 26673?
False
Which is bigger: 16326/103 or -0.22?
16326/103
Which is bigger: -7720373 or -7720365?
-7720365
Which is smaller: -0.014233 or -2/9899?
-0.014233
Do 1063 and 181898/171 have the same value?
False
Is -464371 not equal to -0.47?
True
Are 29/67 and 9469 equal?
False
Is -1580347 > -1580304?
False
Which is smaller: 1666 or 5656?
1666
Is 84/17 <= -30.352?
False
Is -117/385 at least -143?
True
Is 1 less than -2/10567583?
False
Which is smaller: -9.792 or -46/63?
-9.792
Is 1.24 at most -151824?
False
Which is smaller: -125841 or -125665?
-125841
Is 1626363 < 9758173/6?
False
Is -849927/197 equal to -4314?
False
Which is smaller: -0.375651273 or 1?
-0.375651273
Which is smaller: -7 or -4085/702?
-7
Are -342575 and -41451528/121 nonequal?
True
Which is greater: -6255/8 or -35130?
-6255/8
Which is smaller: 25528877 or 25528876?
25528876
Which is greater: 1 or -21/1116161?
1
Is -94844/1313 < -71?
True
Do -672/66245 and 0 have different values?
True
Which is greater: 968 or 19854?
19854
Which is smaller: 29127486/5 or -0.2?
-0.2
Are -1 and 1017/4173691 unequal?
True
Which is greater: -0.03 or -0.09792?
-0.03
Which is bigger: 2/56216427 or -1?
2/56216427
Is 2283 smaller than 118995?
True
| {
"pile_set_name": "DM Mathematics"
} |
the nearest to o in w, z, -0.5?
w
Let k be 3 - ((-122)/42)/(3 + -4). What is the closest to -0.1 in 1/3, -12, k?
k
Suppose 152 - 168 = r. What is the nearest to r in 5, 0.3, 3/2, -1?
-1
Let t(s) = 9 - 16*s**2 + 6 - 14*s + 1 - s**3 + 2. Suppose 0 = -5*x, -2*x - 13 + 58 = -3*k. Let p be t(k). Which is the nearest to 0.1? (a) p (b) 1/3 (c) -1/5
b
Suppose 0*h + h = -0*h. Let f be 2/(-9) - (-14)/(-18). Which is the nearest to f? (a) 1 (b) 0.3 (c) h
c
Let p be 1/(-10)*115/(-46). Let q be (-2)/(-6) - 14/24. Which is the closest to 1/3? (a) q (b) -0.5 (c) p
c
Let p = 53 - 94. Let s = 46 + p. Which is the nearest to s? (a) -4/3 (b) 0.5 (c) 0.4
b
Suppose 0 = -5*p + 10, 4*q + 8*p + 4 = 4*p. Let d = -0.15 + 0.05. Let v = d - -0.1. Which is the closest to q? (a) -5 (b) -3 (c) v
b
Let x be 376/2820*5*-1. Let o = -1.5 - -1. Which is the nearest to -2? (a) x (b) o (c) 0.4
a
Let h = 3.33 - 3.45. Which is the closest to h? (a) 0.3 (b) 3 (c) -1
a
Let d = 702 + -3508/5. Let u = -18 - -13. What is the closest to d in 0.4, 2, u?
0.4
Let k = -4/3 - -5/3. Let v = 8573 + -8573.03. What is the closest to v in 1, k, 5?
k
Let g = 15 + -13. Let k = g + -5. Let v = -1 - 0. Which is the closest to v? (a) k (b) 2/3 (c) 2/9
c
Let m = -368 + 367. Which is the nearest to -1? (a) 0 (b) -20 (c) m
c
Let m be (-2 - 4/(-3))*(-6)/16. Let k = -1.7 + -0.3. Let g = 8 + -8.3. Which is the closest to k? (a) m (b) g (c) 4
b
Let r = -2010 + 8039/4. Which is the nearest to 0.02? (a) 0.4 (b) 1/3 (c) r
c
Let c = -605.04 - -605. What is the nearest to 1/3 in c, -0.4, 16?
c
Let o = 922590658/13737 - 67161. Let h = o - -12665507/96159. Let x = h + -132. What is the nearest to x in 0.5, 1, -6?
0.5
Let i be (39/(-26))/(6/(-8)). Suppose -o - i*v = -25, -5*v + 94 = 3*o + o. Let r = -107/5 + o. What is the nearest to 0.1 in r, 0.1, -1?
0.1
Let o = -1265 - -1264.5. Which is the nearest to 13? (a) -2 (b) -4 (c) -1/5 (d) o
c
Let h = -0.5 + 0.2. Let z = 1966 - 35401/18. Let a = z - -1/18. What is the nearest to a in -1, -0.1, h?
-1
Let o = 49.6 + -50. Let h = 0 + 0.2. Let l = 1.81 - -0.19. What is the closest to 3 in l, h, o?
l
Let g = 165 + -165.2. Which is the closest to 2? (a) -0.1 (b) g (c) -38 (d) -3
a
Let w = -0.1 - -0.3. Suppose -u = 2*i - 12, 3*i - 29 = -4*u + 9. Let x be 4/(-63) + u/28. Which is the closest to 0? (a) x (b) 0.1 (c) w
b
Suppose 0 = -2*j - 2*j + 5*u - 33, j - 3*u + 10 = 0. Let n be 3 - (4 + 6/j). Which is the nearest to 1? (a) 9 (b) n (c) 1
c
Let l = -19 + 24. Let b = 0.002 + -1.002. What is the closest to -1/3 in -3/8, b, l?
-3/8
Let w = 0.0177 + -0.7177. Which is the closest to 0.4? (a) 0.3 (b) -7 (c) w
a
Suppose 5*w + 3 = 3*v + 4*w, v = -4*w - 12. Let h be (2/3)/((-10)/45). Let y be 3*((-52)/12 - h). Which is the nearest to v? (a) -0.2 (b) -2/11 (c) y
b
Let q(j) = 2*j**2 - 10*j + 7. Let s be q(4). What is the closest to -1/3 in s, -0.2, 21, 2/9?
-0.2
Let b be (2/(-8))/((-1)/12). Let g = 0.5 - 0.2. What is the nearest to -0.1 in g, 2/17, b?
2/17
Let l = -437 - -435. What is the closest to 2/11 in 0.5, -3, 0.2, l?
0.2
Let q = 3652/3 - 1217. Which is the nearest to 7? (a) 2 (b) q (c) 0.2 (d) -3
a
Let q be 3 + -2 - (-20)/(-12). Let s = 4.6 + -0.6. Which is the nearest to -2? (a) s (b) -3 (c) q
b
Suppose 0 = -2*k + 3*q - 5, 7*k = 2*k - 5*q + 25. Let u = -3061 + 3056. Which is the closest to -4? (a) u (b) k (c) 3
a
Let f = 94 - 657/7. Let x = -89/21 + 32/7. Let o be 20/8*(-9 - 998/(-110)). Which is the closest to x? (a) o (b) -4/7 (c) f
a
Let y be (1*-3)/(2*(-162)/24). What is the closest to -4 in y, 2/5, -0.21?
-0.21
Let p = 7 + -6.7. Let b = -116 - -177. Let h = 61 - b. What is the nearest to -1 in p, -0.4, h?
-0.4
Let d be 8/(-36 + -4) + 3/40. Which is the closest to 0.4? (a) -0.3 (b) 0.5 (c) d
b
Let g(p) = p**2 - 69*p - 619. Let l be g(-8). Suppose t = -2*t - 15. What is the closest to -3/7 in t, 0.1, l?
0.1
Let q = 0.06 - -0.34. Let f = -4.8 - -5.3. Let y be (-12)/2*3/(-63). Which is the closest to y? (a) 3 (b) q (c) f
b
Let n = 87 - 86.4. Let h = -7 + 5.6. Let t = n - h. Which is the nearest to 2/7? (a) t (b) 3 (c) -1
c
Let b = 59.2 - 59.7. What is the nearest to 22 in b, -1/3, 3/5, -0.3?
3/5
Let n be (-104)/306 - (-8)/(-288)*-8. What is the closest to -2/5 in -1, -2/9, n?
-2/9
Let v = 1664.2 + -1664. What is the nearest to v in 8, -5, -0.6, -0.2?
-0.2
Let l = -31 - -30.5. Let x be (((-9)/3)/12)/(3/(-4)). Let g be (0 - -1)*(-6)/(-9). What is the nearest to -0.1 in g, x, l?
l
Let q = -0.082 + 0.067. Let a = q - -0.015. What is the closest to 2 in -1, a, -2?
a
Let f = 926 - 928. Which is the nearest to 0? (a) 3 (b) f (c) -39/5
b
Let o = 97 + -90. Let u = -109/30 - 27/10. Let z = o + u. Which is the closest to z? (a) 0.2 (b) 2/7 (c) -2
b
Let k be -6 - (605/(-44) + 8). Let m = 2 - 6. Which is the closest to -0.1? (a) 1/4 (b) m (c) k
c
Let d = 4/3 - 19/12. Suppose -3*b + 2*b - 4 = 0. Let l be (-6)/b*(57/(-27) + 1). What is the nearest to -1 in l, -4, d?
l
Let z = 0.3 - 0.6. Let v = 3214/603 + 2/603. Let u = 6 - v. Which is the closest to u? (a) 2/5 (b) z (c) -1/3
a
Let c = -4457 + 31097/7. Let q = c - -531/35. Let d = 2763/11 + -251. What is the nearest to 0 in d, 2, q?
d
Let f = -0.0359 + -0.9641. What is the closest to 2/5 in f, 0.1, -3, 1/6?
1/6
Let c = 6.1 + -6. Let r be (219/(-18))/((-35)/(-19)). Let d = 67/10 + r. What is the closest to c in 2, d, -0.5?
d
Suppose 37*i - 29*i = 72. Which is the closest to i? (a) -0.3 (b) -0.05 (c) -3
b
Let q = -10.9 - -11.2. What is the closest to -1/2 in q, -0.2, 2/13, -0.5?
-0.5
Let b be (-2)/4*(-4 + 4). What is the closest to -0.4 in b, 5, 6, 4?
b
Let d = 537 + -526. Let u = 4 - 3.5. Which is the nearest to d? (a) 1 (b) u (c) -0.3
a
Let q = 508 + -508.1. Which is the closest to q? (a) -1/4 (b) -0.8 (c) -0.5 (d) -5
a
Let m = -23 + 19.1. Let o = m - -1.9. Which is the closest to -1/2? (a) 5 (b) o (c) 0.1
c
Let u = 3.63 - 6.63. Which is the closest to 1/2? (a) 0.3 (b) 47 (c) u
a
Let v(s) = s**2 - 2*s - 64. Let n be v(-7). Let y = 0.07 + -0.37. Let k = 0.04 - -0.06. Which is the closest to n? (a) k (b) 1/5 (c) y
c
Let d = 0.88 - 0.48. Let q = -63 - -62.8. Which is the closest to -0.04? (a) q (b) d (c) -3/5
a
Let q = -14 - -180/13. Let r = 1.7 - -2.3. What is the closest to 2 in -2, q, r?
r
Let m = 2.634 - 5.634. What is the nearest to 10 in m, 2/105, -1/5?
2/105
Let h(x) = -x**2 - 5*x + 14. Let o be h(-11). Let w be 15/(-4) - o/13. Let g = 0.2 + -0.2. Which is the nearest to 1/2? (a) -2/5 (b) w (c) g
b
Let k = -223 + 223.1. What is the closest to -0.1 in k, -0.4, 0.03, -1/5?
-1/5
Suppose -3*y + 4 = j - 16, 12 = -3*y. Let l be (-44)/j - 3/(-24). Which is the nearest to 0? (a) 0.3 (b) 4 (c) l
a
Let q = 0.032 - -0.247. Let v = q + 0.021. What is the closest to 3 in v, 5, 0.4?
5
Let b = -2 - -4. Let g be -3*(-1 - b/(-3)). Suppose 4*j = -14*j + 54. What is the nearest to -1 in j, g, -0.5?
-0.5
Let z(m) = -m - 5. Let v be z(0). Let h be 5/(-3) - (-2 - -1). Which is the closest to h? (a) 5 (b) v (c) 0.1
c
Let s be 1474/(-14) - (-8)/28. Let b be s/(-196) - (-2)/(-8). What is the nearest to b in 0.4, -0.3, 5?
0.4
Let d = -449/1357 + 8/23. Let z = d - 63/236. Let y = 0.5 - 0.3. What is the closest to 0.2 in 1/2, z, y?
y
Let m be (-52)/16 + 4 + (-98)/152. Let c = 4 + -8. Let g = -8 - -3. What is the closest to 1 in c, g, m?
m
Let i = -5012.1 - -5012. Let k(h) = h**3 - 5*h**2 - 7*h + 8. Let y be k(6). Which is the nearest to i? (a) 3 (b) -1/4 (c) y
b
Suppose -68 = 3*r - 71. Let q = -46 + 45.7. Which is the nearest to r? (a) q (b) 2/15 (c) -3
b
Let h = 36.41 - 2.41. Which is the nearest to 1? (a) -4 (b) h (c) 2/9
c
Let g = 259 - 263. Let y = -3 - 2. Which is the closest to 1/5? (a) g (b) y (c) -0.2
c
Let k = -11.1 + -0.9. Let x = -23 - -34. Let v = x + k. What is the closest to 0.1 in 0.3, 4, v?
0.3
Let a be (2 - (1 - -4))*4. Let v be (-2)/(-30) - 1/a*4. What is the nearest to v in -6, 2/11, -5?
2/11
Let z = 864 + -868. Let q = 1 + 0. What is the nearest to z in -0.3, -0.5, q?
-0.5
Let g = -295/1212 + -2/303. Which is the nearest to 1? (a) 3 (b) -67 (c) g
c
Let o = -0.14 + 0.01. Let l = 0.13 + o. Let d = l - -1. Which is th | {
"pile_set_name": "DM Mathematics"
} |
w(c) + 4*b(c).
c**3 + c + 2
Let h be (1 - 7)/(-1) - 0. Let k = h + -4. Let s(a) = a - 3. Let u(z) = 4 - 2 - 4. What is k*s(v) - 3*u(v)?
2*v
Suppose 2*n + 2*b = -5 - 5, 2*n + 3*b = -13. Let x(m) = 4*m - 9. Let v(c) = 0*c + 0*c - 2 + c. Calculate n*x(z) + 9*v(z).
z
Let s(v) = -396*v + 28. Let j(z) = -44*z + 3. Determine 28*j(h) - 3*s(h).
-44*h
Let q(s) = -s + 1. Let y(u) = -3*u - 5. What is -6*q(p) - y(p)?
9*p - 1
Let n be 0 + (3 - (6 + -1)). Let j(s) be the third derivative of -s**5/60 + s**3/6 + s**2. Let y(m) = m**2 - m - 1. Calculate n*y(k) - 3*j(k).
k**2 + 2*k - 1
Let x(g) = 2*g**2 + 3*g - 1. Let k(v) = -4*v**2 - 5*v + 2. Let h = -13 + 16. Suppose 0 = 2*l + o - 0*o - 12, 6 = h*o. Determine l*x(j) + 3*k(j).
-2*j**2 + 1
Let s(r) = 6*r**3 + 4*r - 1. Let y(v) = 5*v**3 + 4*v. Let q(d) = 4*s(d) - 5*y(d). Let k(o) = 3 - 2*o**3 + 0*o**3 - 9*o - 12. Determine 4*k(b) - 9*q(b).
b**3
Let f(x) = 20*x**2 - 2*x + 2. Let q(y) = 140*y**2 - 15*y + 15. Determine -30*f(b) + 4*q(b).
-40*b**2
Let n(x) = -5*x + 2. Let c(b) = -8*b + 0*b + 9*b. What is 4*c(t) + n(t)?
-t + 2
Let m(g) = 2*g - 3. Let s(n) = -3*n**3 + 2*n**2 + n + 2. Let y be s(2). Let z = 10 + y. Let k(o) = 1. Give z*k(b) - m(b).
-2*b + 1
Let h(p) = -3*p**2 - 3*p. Let w(k) = -4*k**2 - 3*k. Suppose 0*v = 4*v - 20. Give v*w(o) - 6*h(o).
-2*o**2 + 3*o
Let s(l) = -l - 1. Let d(b) = 2*b + 2. Suppose 2*x - 4*o - 120 = 0, 5*x + 4*o - 99 = 215. Suppose -6*m = x + 4. Give m*s(k) - 6*d(k).
-k - 1
Let s(w) = 7*w**2 + 6*w + 1. Let i(n) be the first derivative of 13*n**3/3 + 11*n**2/2 + 2*n + 29. Determine 6*i(j) - 11*s(j).
j**2 + 1
Let g(a) = -a**2 - 4*a - 2*a**2 - 2*a. Let h be ((-78)/(-91))/((-3)/(-21)). Let t(y) = -3*y**2 - 5*y. What is h*t(d) - 5*g(d)?
-3*d**2
Let o(v) = -v**3 + 6*v**2 + 16*v - 4. Let r be o(8). Let h(u) = -5*u**3 + 15*u - 15. Let w(q) = -q**3 + 4*q - 4. What is r*h(b) + 15*w(b)?
5*b**3
Let x(m) = 3*m + 2. Let v(a) = 7*a + 4. Suppose -5*z + 3 = -2. Suppose z = -p - 3. Let y = -42 - -51. What is p*v(u) + y*x(u)?
-u + 2
Let x(l) be the second derivative of 9*l**5/20 + l**4/6 - 13*l**3/6 + 11*l**2/2 + 22*l + 2. Let k(q) = -4*q**3 - q**2 + 6*q - 5. Determine 13*k(a) + 6*x(a).
2*a**3 - a**2 + 1
Let k(r) = 4*r**3 + 4*r**2 + 9. Let d(q) = 2*q**3 + 2*q**2 + 5. Calculate 11*d(o) - 6*k(o).
-2*o**3 - 2*o**2 + 1
Let j(u) = -5*u - 11. Let l(x) = 9*x + 21. Determine -7*j(y) - 4*l(y).
-y - 7
Let r(x) = 6*x + 6 + 0 + 4*x. Let b(u) = -7*u - 4. Calculate -7*b(n) - 5*r(n).
-n - 2
Let s(a) = 5 + 2*a**2 + 7*a + 3*a**2 - a. Let i(n) be the second derivative of n**4/4 + 2*n**3/3 + 3*n**2/2 + n + 4. Give 8*i(z) - 5*s(z).
-z**2 + 2*z - 1
Let b(v) = -6*v + 2. Let u(i) = -i. Let w be 2*2/4*(-11 - -15). Calculate w*u(a) - b(a).
2*a - 2
Let y(x) = -3*x + 4. Let u(f) = -7*f + 9. Let b be -7 + ((4 + -6)*-1 - -1). Determine b*u(i) + 9*y(i).
i
Let o(i) = 3*i + 4. Let x(t) = -2*t - 3. Suppose 11 - 21 = 2*j. What is j*x(g) - 4*o(g)?
-2*g - 1
Let d(i) = 5*i**2 + 7*i + 11. Let t(w) = 2*w**2 + 3*w + 5. Give 6*d(r) - 13*t(r).
4*r**2 + 3*r + 1
Let b(k) = 1. Let x = -7 - -9. Suppose 11 = -x*m - 1. Let g(t) = -t - 8. Determine m*b(h) - g(h).
h + 2
Let i(g) = 27*g**3 + 18. Let l(m) = m**3 + 1. Determine -i(r) + 18*l(r).
-9*r**3
Let h(v) be the second derivative of v**3/2 + v**2/2 - 3*v. Let k(b) = -2*b - 1. Determine -3*h(u) - 4*k(u).
-u + 1
Let t(r) = 3*r**3 - 7*r - 7. Suppose 5 = -5*n - 30. Let k be (6 + 2)/((-1)/(-1)). Let x be -5*(k/5 - 2). Let u(l) = l**3 - 2*l - 2. Give n*u(d) + x*t(d).
-d**3
Let a(m) be the second derivative of m**4/12 + 2*m**2 - m. Let j(x) = 2. Let g = -262 + 260. Calculate g*a(p) + 4*j(p).
-2*p**2
Let n(d) = d**3 - d. Let h(c) = 10*c**3 + 2*c**2 - 5*c. Calculate h(w) - 5*n(w).
5*w**3 + 2*w**2
Let h = 5 - 8. Let w(m) = -4*m + 1. Let f(j) = -5*j + 1. Let c(a) = h*f(a) + 4*w(a). Let u(q) = -2 - 2 + 2. Calculate -2*c(r) - u(r).
2*r
Let g(b) = -4*b + 3. Suppose 9 - 36 = 4*f + 5*q, 0 = 3*f - 4*q - 3. Suppose -5*j = 17 + 23. Let t(a) = -2 - 6 + 0 + 11*a. Give f*t(u) + j*g(u).
-u
Let u(k) be the first derivative of -k - 8. Let b(w) = -w**2 - 1. What is 2*b(a) - u(a)?
-2*a**2 - 1
Let z(n) = -5 + 5*n**2 - 4*n**2 + 3*n**2. Let p(w) = w**3 + 17. Let v be p(0). Let b(t) = t**2 - 13 + 27 - 12*t**2. Determine v*z(r) + 6*b(r).
2*r**2 - 1
Let t(v) = v - 9. Let o(x) = 1. Let q(l) = -4. Let k(y) = -2*o(y) - q(y). What is 9*k(r) + 2*t(r)?
2*r
Let h(k) = 10*k**3 + 2*k**2 + 2*k - 3. Let y(x) = -10*x**3 - 3*x**2 - 3*x + 4. What is -6*h(r) - 4*y(r)?
-20*r**3 + 2
Let k(b) = -4. Let c(o) = o + 8. Let j(n) = 3*c(n) + 5*k(n). Let m(d) = 12*d + 15. Give -15*j(g) + 4*m(g).
3*g
Suppose -4*s + 7*s = -15. Let z(v) = 6*v**3 + 5*v + 5. Let c(m) = -3*m**3 - 2*m - 2. Calculate s*c(k) - 2*z(k).
3*k**3
Let v(h) = -5*h - 11. Let n(d) = -d - 1. Determine 6*n(f) - v(f).
-f + 5
Let d(a) be the first derivative of -a**2/2 - 4*a - 1. Let p(t) = 5. Give -3*d(l) - 2*p(l).
3*l + 2
Let t(z) = 2*z**2 + 5*z - 2. Let i be (4 - 5) + 5*1. Let y(b) = -6 - b**2 + i*b**2 + 14*b + 3*b**2. Determine -14*t(j) + 5*y(j).
2*j**2 - 2
Let i(v) = 13*v**3 + 4*v**2. Let u(n) = -130*n**3 - 39*n**2. Determine 39*i(o) + 4*u(o).
-13*o**3
Let m(f) = -6*f + 7. Let c(n) = -n**2 + 7*n - 8. Calculate 6*c(y) + 7*m(y).
-6*y**2 + 1
Let o(j) = 2*j + 13. Let g(w) = -2*w - 12. What is 3*g(u) + 2*o(u)?
-2*u - 10
Let y(v) = v - 4. Let h(w) be the first derivative of -w**2/2 + 7*w - 12. Let i = -10 + 6. Calculate i*h(s) - 7*y(s).
-3*s
Let l(g) = -7*g. Let k be (-6)/((-1)/4*-4). Suppose -p - 9 = -2*b, 4*p + p + 27 = 4*b. Let m(q) = q - b*q + 0*q. Give k*l(d) + 22*m(d).
-2*d
Let b(w) be the third derivative of w**4 - 11*w**3/2 + w**2. Let h(v) = -v. Let k(r) = -r + 4. Let q(c) = -2*h(c) - k(c). Give -4*b(g) + 33*q(g).
3*g
Let d(u) = 4*u**3 - 6*u + 5. Let b(p) = -7*p**3 + 11*p - 9. Give -6*b(n) - 11*d(n).
-2*n**3 - 1
Let p(v) = -v**2 + 13*v. Let d(g) be the third derivative of -g**4/6 - 24*g**2. What is -7*d(x) - 2*p(x)?
2*x**2 + 2*x
Let w(m) = 5 - 4*m**2 + 0 - 2. Suppose -4*o + 2*a - 43 = 7*a, 0 = 3*o + 5*a + 36. Let h(s) = 13*s**2 - s - 10. Determine o*w(b) - 2*h(b).
2*b**2 + 2*b - 1
Let j(b) = b**3 - 2*b**2 + 2*b + 40. Let y(i) = 2*i**3 - 3*i**2 + 3*i + 39. Give 3*j(d) - 2*y(d).
-d**3 + 42
Let z(c) = 3*c**3 + 7*c + 7. Let n(t) = t**3 + 3*t + 3. Let v(j) = j**3 - 4*j**2 - 3*j + 5. Let w be ((-1)/3)/((-3)/36). Let i be v(w). What is i*n(k) + 3*z(k)?
2*k**3
Let x(y) = 6*y**2 + 26*y - 2. Let s(i) = 6*i**2 + 25*i - 3. Let g(z) = -4*s(z) + 3*x(z). Let q(b) = 2*b**2 + 7*b - 2. Determine -5*g(o) - 16*q(o).
-2*o**2 - 2*o + 2
Let g(f) = 5*f**3 + 6. Let u(b) = b**3 + 1. Let n(x) = 12*x. Let s be n(-1). Let o be (-9)/s - (-54)/(-8). Give o*u(r) + g(r).
-r**3
Let m(z) be the third derivative of -7*z**6/120 + z**5/10 - z**4/4 - z**3 - z**2 + 17. Let q(w) = -7*w**3 + 5*w**2 - 5*w - 5. Determine 5*m(p) - 6*q(p).
7*p**3
Suppose 5*l - 89 = 86. Suppose 5*x = -0*x - l. Let a(k) = -k**3. Let r(c) = 6*c**3 - c**3 - 2*c**3 - c**2. What is x*a(q) - 2*r(q)?
q**3 + 2*q**2
Let j(s) = s**2 - 2*s - 2. Let c(w) = -11*w**2 - 3*w - 1. Let u be c(2). Let p(n) = 9*n**2 - 17*n - 17. Determine u*j(q) + 6*p(q).
3*q**2
Let f(h) = 2*h**3 - h**2 - h. Let c be 2*(-2)/10*5. Let y(a) = -a**3 + 1. Let n(r) = 5*r**3 + r**2 + r - 6. Let m(q) = n(q) + 6*y(q). Determine c*f(g) - 2*m(g).
-2*g**3
Let s = 3 + -4. Suppose 4*q = 10 + 6. Let o(h) = -h**2 + h + 1. Let n(m) = -2*m**2 + 5*m + 3. Calculate q*o(u) + s*n(u).
-2*u**2 - u + 1
Let o(q) = -3*q**3 + 2*q**2 - 6*q + 1. Let g(n) = -n**3 + n**2. What is g(r) - o(r)?
2*r**3 - r**2 + 6*r - 1
Let d(h) = -h**2 + 0*h**3 + 8*h**3 - 3*h**3 + 3*h - 1 - 6*h**3. Let g(u) = -u**3 - 2*u**2 + 5*u - 3. Calculate -5*d(w) + 3*g(w).
2*w**3 - w**2 - 4
Let l(g) = -3*g**3 + g**2 - g. Let m(o) = 8*o**3 - 3*o**2 + 2*o. What is 11*l(h) + 4*m(h)?
-h**3 - h**2 - 3*h
Let p(f) = -15*f. Let l(b) = 14*b. Give -4*l(i) - 3*p(i).
-11*i
Let f(z) = -7*z + 1. Let s = 6 + -3. Let w be (2 - s)/((-3)/51). Let h(b) = -4*b + 7*b - 3 + w*b. Determine 17*f(p) + 6*h(p).
p - 1
Let u(o) = -o**3 + o**2 + 1. Let i(f) = -3*f**3 + 2*f**2 + 4. What is -2*i(g) + 4*u(g)?
2*g**3 - 4
Let k(y) = -4*y**3 + 4*y**2 + 10*y + 7. Let c(g) = 3*g**3 - 3*g**2 - 7*g - 5. Suppose 6*s + 40 = s. Let p be (-62)/s + 12/(-16). Determine p*c(d) + 5*k(d).
d**3 | {
"pile_set_name": "DM Mathematics"
} |
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