text
stringlengths 270
8.19k
| meta
dict |
|---|---|
-2*x**2 + 7*x. Let y be g(6). Let b be (24/(-9))/(4/y). Suppose -5*o = -3*w - 122, 2*o - o = 5*w + b. Does 12 divide o?
False
Let a be (254/2)/(-1 - -2). Suppose 7*w - 2*w = -25, 5*w = -3*j - a. Does 8 divide 3/((-6)/j) - 1?
True
Let b(v) = -v**3 + 10*v**2 + 10*v + 16. Is b(11) a multiple of 5?
True
Suppose 5 = -p - 2*z, -2*p - 13 = -p + 4*z. Is 16 a factor of (-5 + p)/(2/(-16))?
True
Let i(d) = d - 20 + d + 0*d + 7. Is 4 a factor of i(10)?
False
Let t(f) = f**3 + 7*f**2 - 12*f - 7. Let g be t(-8). Suppose 5*s + 70 - g = 0. Does 6 divide 44/(-6)*s/6?
False
Let r(a) = 135*a**2 + a. Let w be r(1). Suppose 5*j - w = j. Is j a multiple of 12?
False
Suppose 2*y + 3*q - 23 = 0, 0 = -5*y + 6*y - 2*q + 6. Suppose -11 = -y*z + 1. Suppose -r = -z*r + 50. Is 12 a factor of r?
False
Suppose -4*j = -j + 267. Let k = -55 - j. Is k a multiple of 17?
True
Suppose 3*u + 2*u - 360 = 0. Suppose 3*q + 0*q = -5*j + 172, 2*j - 2*q - u = 0. Suppose -4*b = 5*m - 37, -2*m = -2*b + m + j. Is 13 a factor of b?
True
Let j(r) = r**3 - 7*r**2 - 2. Let b be j(7). Is 22 a factor of b/(-4) - (-43)/2?
True
Let h(c) = -3*c**3 - c**2 + c - 1. Let r be h(1). Suppose -4*k - z + 3 = -3*k, -3 = 5*k - 4*z. Is r + 10 - (-1 + k) a multiple of 2?
True
Let v(n) = 2*n**2 - 3*n - 1. Let a be v(-1). Suppose -4*s - 84 = -a*f - 0*s, f = 2*s + 16. Does 20 divide f?
False
Let n = -5 - -9. Is 4 a factor of n?
True
Suppose 4*h + 2 = 4*l - 2, -2*l - 14 = 2*h. Let c(j) = j + 5. Let r be c(h). Is 11 a factor of 1 + -15*(-2 + r)?
False
Suppose -3*h + 252 = 4*z, -4*h - 3*z - 44 = -373. Does 10 divide h?
True
Suppose 18*k - 5*k = 2067. Is k a multiple of 17?
False
Suppose -5*b + 11 = 1. Does 8 divide (62/(-5))/(b/(-5))?
False
Suppose -156 = 4*w - 668. Does 16 divide w?
True
Suppose -r - 54 = 5*f - 2*f, -4*r - 209 = 5*f. Let p = 90 + r. Is 19 a factor of p?
False
Suppose 4*f + 2*k = 5*f - 11, 3*k + 27 = 5*f. Is 11 a factor of 3/((-3)/(-57)*f)?
False
Let h(i) = -21*i - 4. Is h(-2) a multiple of 19?
True
Let w = -2 - -5. Suppose -4*a = 3*v - 0*v - 179, -118 = -w*a + v. Is 11 a factor of a?
False
Suppose -4*n + n = 0. Does 13 divide 63 - (-2)/(-4)*n?
False
Let p(f) = -f**3 + 5*f**2 - 3*f + 1. Let m be p(5). Let b be (-8)/5*(7 - 2). Does 7 divide (-228)/m - b/(-28)?
False
Suppose 0*n = -5*m + n + 302, 0 = m - 3*n - 66. Is 20 a factor of m?
True
Suppose -d = -5*d + 720. Is 15 a factor of d?
True
Suppose 4*q = 5*a + 17, -4*q + a = 5*a - 44. Let f(i) be the first derivative of -i**4/4 + 7*i**3/3 + 13*i**2/2 - 12*i - 1. Is f(q) a multiple of 14?
True
Let v = -2 - -6. Suppose -2*t - 8 = 2*s - v*s, t + 4 = 0. Suppose -72 = -s*k - 2*k. Is 13 a factor of k?
False
Let b(k) = -k + 3. Let p be b(8). Let v = p + 39. Does 17 divide v?
True
Let f = -114 + 145. Is f a multiple of 15?
False
Let g(q) = q**2 + 2*q. Let o be g(-2). Let b(s) be the third derivative of s**5/60 + s**4/24 + 5*s**3/6 - 4*s**2. Is b(o) a multiple of 5?
True
Suppose -2*n = -4, 0*o - 4*n = -3*o - 8. Suppose 2 + o = x. Suppose x*w = 4*f + 7*w - 87, -2*f - 5*w = -41. Is f a multiple of 16?
False
Suppose 0 = -4*s - 20, -4*s - 5 = 2*r + 15. Suppose 0 = -r*l + 5*l + 10. Does 9 divide l + (-3)/(-1) - -21?
False
Suppose -24 = -5*p - 9. Suppose k + 2*k = -p, v + k = 107. Is v a multiple of 36?
True
Suppose 0 = -3*t + 9, 3*v + 2*v - 5*t = 55. Let o = -10 + v. Suppose -g - o*g + 70 = 0. Is 7 a factor of g?
True
Suppose -2*u + 20 = 5*l + 3*u, -5*l - 3*u = -16. Let c be ((-6)/(-15))/(l/270). Suppose -q + 22 = s + 5, -c = -2*q + 3*s. Is q a multiple of 16?
False
Let a be ((1 - -2) + 1)*1. Suppose a*b - 12 = b. Is b a multiple of 4?
True
Let i = 815 - 415. Does 40 divide i?
True
Let d(b) = -b**2 + 11*b + 4. Let l be d(10). Suppose 4*f + l = -2*j - 4, -63 = 5*j + f. Let q = 9 - j. Does 11 divide q?
True
Suppose -2*w = f - 24, -2*f - 7*w + 2*w = -52. Does 26 divide (-2)/1 - (-448)/f?
True
Let k = -2 + 7. Let d(o) = 1 - 5*o**2 + k*o + 1 + o**3 - 9*o. Is d(6) a multiple of 14?
True
Let k(l) = -l**2 - 1 + 2*l**2 - 9*l**3 + 0*l**2. Does 9 divide k(-1)?
True
Is 10 a factor of (-3 - -26) + (0 - -1)?
False
Is 44 + (1 + -1)/(-4) a multiple of 11?
True
Let z be ((-63)/4)/((-6)/16). Suppose a + z = -2*a. Does 7 divide (-192)/a - 2/(-7)?
True
Is (-392)/70*10/(-4) a multiple of 14?
True
Suppose -3*f = g - 5*g + 1287, -3*g + 929 = 5*f. Is 13 a factor of g?
False
Suppose 3*c + 20 - 8 = 0. Let y be -4*(-2 + (-34)/(-8)). Let n = c - y. Is 5 a factor of n?
True
Let w(i) be the first derivative of -5*i**2 + 2*i - 3. Let q = -4 - -1. Is 16 a factor of w(q)?
True
Suppose -3*h - 5 = -x, 0 = x + 4*x + 2*h - 8. Suppose x = -c + 8. Let n(t) = t**2 + t - 8. Is 12 a factor of n(c)?
False
Let w(j) = -j**3 + 5*j + 4. Let k be w(-3). Is 12 a factor of 2*k + 2 - -2?
True
Let n be ((-45)/(-3) - 0) + -1. Suppose -5*s - 4*x + 5*x + n = 0, -3*s - 3*x - 6 = 0. Does 10 divide 1*(0/s - -20)?
True
Let f be (-16)/(-9) - 4/(-18). Let z(b) = -f*b**2 + 2*b - 1 + 5*b**2 + 0*b. Is z(-3) a multiple of 10?
True
Let z(g) = -g + 7. Let c be z(7). Suppose c = -r - r - 2*s + 52, -4*s = -5*r + 103. Suppose u + r = 2*u. Is u a multiple of 15?
False
Let f(z) = 6*z**2 - 3*z. Let g be f(3). Suppose 3 + g = 4*p. Is p a multiple of 9?
False
Let g = -196 + 336. Is g a multiple of 14?
True
Let p be 2 + (-5 - 1)/3. Suppose p*q - 2*q = -18. Let y = q - 5. Is y a multiple of 4?
True
Suppose -4 = 2*w + 38. Let d = 27 + w. Does 4 divide d?
False
Suppose -2*l + 224 = -0*l. Suppose 6*o - 2*o - l = 0. Is (-4)/(-14) - (-300)/o a multiple of 9?
False
Suppose 4*i - r = 20, i - r = -2*r. Suppose -i = 4*b - 60. Is b a multiple of 14?
True
Suppose 0 = 2*f - 664 + 126. Is 29 a factor of f?
False
Suppose w - 5*r = -2*w - 126, -4*w - 163 = -5*r. Let i = w + 76. Is 8 a factor of i?
False
Let k = 18 - 6. Is k a multiple of 12?
True
Let m = 16 - 10. Is 3 a factor of m?
True
Let u(a) = a - 5. Let b be u(8). Suppose -x - 5*q + 50 = -3*q, -278 = -5*x - b*q. Does 29 divide x?
True
Suppose 2*b - 4 = 4*b. Let z be (3 - 12)*b/(-6). Is 1*(-3)/(z/26) a multiple of 13?
True
Suppose -7*k + 3*k - d + 697 = 0, 5*d = k - 169. Does 29 divide k?
True
Let m(i) = i + 3. Let k be m(7). Let c(y) = 2*y**2 - 14*y - 9. Let p be c(k). Suppose 0 = -5*n + 3*s + 87, -2*s - s = -3*n + p. Does 9 divide n?
True
Let q(i) = 9*i**2 - i. Does 5 divide q(-1)?
True
Suppose 0 = -3*s - 3*d + 22 + 2, -s + 2 = -d. Suppose 24 = s*n - 26. Does 5 divide n?
True
Let y = 95 - 42. Suppose -t - y = -2*t. Is t a multiple of 19?
False
Suppose 15 = c - 4*u, 10 = -4*c + 2*u - 0. Let p = -2 - c. Is 13 a factor of p/(-2 + -1)*-39?
True
Suppose 15 = 5*n - 5*z, -3*n = 2*n + z - 9. Let h(y) = 2 + 4*y**3 + 2*y**3 + 0*y**n - y**2 - y. Is 22 a factor of h(2)?
True
Let m(k) = -k**3 - 8*k**2 - k - 6. Let f be m(-8). Suppose -f*d + 128 = 4*y + 2*d, -4*y - 3*d = -131. Does 16 divide y?
False
Let i be (21/(-9))/((-1)/(-30)). Does 15 divide (i/42)/((-2)/36)?
True
Let p(b) be the second derivative of 0 + 3*b**2 + b - 2/3*b**3. Is 17 a factor of p(-9)?
False
Is 6 a factor of (-6)/27 + (-872)/(-36)?
True
Suppose 16*m = 15*m + 182. Is 12 a factor of m?
False
Is 24 a factor of ((-108)/(-15))/((-3)/(-10))?
True
Let r = 54 - 25. Let u = r + -9. Is 10 a factor of u?
True
Suppose 3*w - 5*o - 347 = 0, o = 5*w - 521 - 72. Does 47 divide w?
False
Let d be (3 + 1)*(-7)/(-4). Suppose 0 = -2*g + d + 7. Does 7 divide g?
True
Let p = 0 - 0. Suppose -3*a = -p*a - 15. Is a a multiple of 2?
False
Let s = 145 - -36. Suppose 4*n + 41 = s. Does 15 divide n?
False
Let m = 3 - 6. Let d = -4 - m. Does 17 divide 0 + -2 + (32 - d)?
False
Let f(d) = -d**2 - 13*d + 21. Is 33 a factor of f(-12)?
True
Let s(o) = -o**2 + o. Let l be s(-3). Let h be l/(-15)*10/4. Suppose 48 = 4*v - y, h*v - 38 = -0*v + 4*y. Does 11 divide v?
True
Suppose 4*p - 5*l + 3*l - 18 = 0, 0 = -5*p + 3*l + 25. Is 12 a factor of 3 + 48/(p - 1)?
False
Is (-3)/(-4) - (-5 - 498/8) a multiple of 17?
True
Let z(x) = -x**3 - 6*x**2 + 6*x. Let c be z(-7). Let n = 34 - c. Does 9 divide n?
True
Let m(t) = 6*t + 6*t**2 - 2*t**2 - 4*t + 2. Let b be m(3). Is 11 a factor of b/(-12)*-2*3?
True
Suppose -375 = -5*y + 5*g, 5*y - 6*g + 2*g = 380. Is y a multiple of 15?
False
Let m(w) = -8*w + 1. Let z be m(-1). Suppose z = 3*r - 12. Is 4 a factor of r?
False
Suppose 3*g + 9 - 3 =
|
{
"pile_set_name": "DM Mathematics"
}
|
-3, k, 2?
2
Suppose 2*r - 5*l + 8*l + 1 = 0, 5*r - l = 6. Let d = 0.4 - 3.4. What is the nearest to r in d, -0.4, -1/2?
-0.4
Let q = -6 - -6.5. What is the nearest to -2 in -5, q, 2?
q
Let q be 4/(-16) - 2/(-8). Let x = 0.06 + -0.66. Let r = x + -0.4. Which is the nearest to q? (a) 3/7 (b) -5 (c) r
a
Suppose 0 = -3*u - 11 + 14. What is the closest to u in -0.5, -4, 1/5?
1/5
Let i = -0.04 + -1.96. Let n = -0.66 + 0.66. What is the nearest to n in 0.5, 1/3, i?
1/3
Suppose -j - 7 = 3*k, 2*k = 5*k - 5*j + 1. Let n be (k - -2)*(-7 + 8). What is the nearest to 0 in 1, n, -0.2?
n
Suppose -9 - 16 = -5*u. Let y = -3.94 + -0.06. Let x = -3 + 2.7. Which is the closest to 1? (a) u (b) y (c) x
c
Let r be (-42)/133*1/(-3). Which is the nearest to -2/7? (a) -5 (b) 0.1 (c) r
b
Let z = -1 - -3. Let s = -5.7 - -5.5. Let d = 181 - 911/5. Which is the nearest to z? (a) s (b) 0.5 (c) d
b
Let t = 12 - 11.6. Which is the closest to -0.2? (a) 2 (b) t (c) 3
b
Let g = 1 - 0. Let x = -25/6 - -53/12. Which is the closest to 0? (a) x (b) g (c) -5
a
Let i = 0.6 + -3.6. What is the nearest to -2 in i, -0.2, 4?
i
Let b = 44 + -45. What is the nearest to b in 1/2, 3, -0.05?
-0.05
Let j be (-1)/3 - (132/(-18) + 2). Which is the nearest to 0? (a) j (b) 14 (c) 1
c
Let t = -1.7 - 1.3. Let r be 0*3/(1 + -4). Suppose r = 4*d + o - 4*o - 12, 0 = -2*d + 3*o + 6. Which is the nearest to d? (a) -5 (b) 4 (c) t
b
Let t = 55.9 + -56. Which is the closest to -2? (a) -2 (b) t (c) 1/14
a
Let n = -412 - -19775/48. Let w = n - -11/16. Let s = -3 - -8. Which is the nearest to 1? (a) s (b) -1/9 (c) w
c
Let m = -587/5 + 117. What is the nearest to m in 0.3, -1/10, 4?
-1/10
Let u(o) = -o**3 - 6*o**2 - 2*o - 2. Let p be u(-6). Suppose 2*x = -2*f - p, 4*x + 13 = f - 2. What is the closest to 0 in x, -1, 5?
-1
Let k = 29 + -31. What is the nearest to k in 0, 2/17, 0.5?
0
Let v = 61 - 429/7. What is the closest to v in 2/3, -4, 1.4?
2/3
Let q = 0.36 + 0.04. Let f = 6.2 - 1.2. Let x = 20 - 19. What is the closest to -1/4 in q, x, f?
q
Let c = -25 + 22. Let i = 8/3 + -3. What is the closest to i in 5/3, 1, c?
1
Let b = -4.77 + -0.23. What is the nearest to 1 in -0.5, -2, b?
-0.5
Let v = -1.6 + 3. Let h = v + -1. Let o = -11 + 16. What is the nearest to 0.1 in h, o, 3?
h
Suppose -3*d + 2*o = -2 - 2, 4*o - 16 = 0. Which is the nearest to 2? (a) -4 (b) -5 (c) d
c
Suppose 0 = -3*f + f. Let h = -0.05 - -0.15. Which is the nearest to -1? (a) h (b) f (c) 5
b
Let d = -0.2 - 2.8. Which is the closest to 2/5? (a) d (b) 0.4 (c) -0.4
b
Suppose 5*x - 5*i = -10, 2*i + 6 = -3*x - 0*i. Let w(l) = -l**2 + 2*l + 12. Let y be w(5). Which is the nearest to 0? (a) y (b) -0.5 (c) x
b
Let h = -63 + 66. Let i = -1397/9 + 155. Let z = 0.06 + -2.06. Which is the nearest to z? (a) i (b) 0 (c) h
a
Let y(z) = -z - 3. Let m be y(-5). Suppose 8 = -4*x + m*x. Let u be 14/x - (-7)/14. What is the closest to 2/5 in -1, u, -4/9?
-4/9
Let r be (3*(-12)/225)/((-2)/(-5)). Which is the closest to r? (a) -0.1 (b) 1/5 (c) 2
a
Let x be 16/(-348)*(0 + 9/6). What is the nearest to x in 0.2, 5, -2/5?
0.2
Let x = -1/7 - 2/35. Which is the nearest to 0? (a) -0.5 (b) x (c) -2
b
Let p(c) = c**3 - 4*c**2 - 4*c + 2. Let n be p(5). Suppose -8 = -n*m + 3*m. What is the closest to m in -1/7, -3, -1?
-1/7
Let p = -29/45 + 4/9. Which is the closest to p? (a) -3 (b) 2/5 (c) -0.5
c
Let w = 0.61 + -2.54. Let l = 0.07 - w. Which is the nearest to -1? (a) -2 (b) l (c) -3
a
Suppose 2*f + 10 + 6 = 0. Let b be (f/30)/((-12)/10). Let n = 6 + -3. What is the closest to 0 in b, n, 0.4?
b
Let g = 0.08 + 0.22. Let n = -1.58 + -0.22. Let o = -0.2 + n. What is the closest to o in -1, g, 3?
-1
Let g = -1.178 + -3.952. Let n = -0.13 - g. What is the closest to -1 in 0, -5, n?
0
Let k be -1 + (97148680/18483822)/4. Let c = -118/12339 + k. Let p = 2/107 - c. What is the nearest to 0 in p, -1, 0.3?
p
Suppose -5*j + 33 = 4*z - 3*z, -3*j + z + 15 = 0. Suppose -5*r = -j + 1. Let d = r + 2. Which is the closest to 0? (a) -1 (b) 2 (c) d
a
Let z = 0.19 + 0.01. What is the nearest to -1 in -2/7, 4, z?
-2/7
Suppose -y + 3 = 2*j - 2, -4*j = 3*y - 13. Suppose -f = 4*p - 26 + 2, -y*f = -2*p - 2. Which is the closest to 0? (a) -1 (b) p (c) 0.2
c
Let g = -50.6 + 51. What is the nearest to -2/7 in g, 5, -2/11?
-2/11
Let p be (-1)/6*-3 - 0. Which is the closest to 2? (a) -2/43 (b) 3 (c) p
b
Let q be (2/4)/(3/4). Let w = 13.07 - 0.07. Let t = 9 - w. Which is the closest to q? (a) 2 (b) t (c) -4/9
c
Suppose 4*p - 20 = f + 3*f, -f + 1 = 5*p. Let d = -0.2 + 0.1. Which is the closest to d? (a) -0.2 (b) -5 (c) f
a
Let p = 41 - 49.3. Let x = 0.48 + 7.52. Let g = x + p. Which is the closest to -1/2? (a) 1 (b) 0.2 (c) g
c
Let p = -175576/11 - -1665153/110. Let b = 826 + p. Let k = 14/5 - b. What is the closest to -0.1 in 5, k, -2?
k
Let j = 1.2 - 0.2. Let a = 0 + 3. What is the nearest to -0.1 in j, a, -2?
j
Let w = 11 + -12.1. Let u = -1.4 - w. Which is the nearest to -4? (a) u (b) -1 (c) -3/5
b
Let p = -219 + 218. Let l = 3889 - 116683/30. Let g = -1/10 - l. Which is the closest to -1? (a) p (b) 0.5 (c) g
a
Let x = 0.25 - 0.35. Let k be 2/3*(-243)/(-8). Let o = k + -20. Which is the nearest to 0.2? (a) o (b) x (c) 0
a
Let w = 0.161 + 1.839. Let v(z) = z**2 + 7*z + 6. Let t be v(-6). Suppose 0*i = 3*i + 15. Which is the closest to t? (a) 1 (b) w (c) i
a
Let u = 0.18 + 0.02. What is the closest to 5/2 in u, 2, -0.3?
2
Suppose -3*s - 2*s + 20 = 0. Let v be 7/6 + 14/(-21). Which is the closest to -1? (a) s (b) -1 (c) v
b
Let s = -13 + 6. Let x = s - -14. Let m = x - 5. Which is the closest to 2/5? (a) 0.1 (b) 0 (c) m
a
Let n = -0.29 - 11.71. Let a = n + 12. What is the closest to a in 3, 0, 0.03?
0
Let h = -54.2 + 54. Which is the closest to h? (a) 1 (b) -2/7 (c) 0.5
b
Let r be (9/12)/(2/(-8)). Let v be (4/1)/(2/(-2)). Let q be 1*(v/2 - -1). Which is the nearest to q? (a) 0 (b) r (c) 5
a
Suppose 2*z - 40 = 2*f, -4*f = 5*z + f - 90. Let h = -14 + z. Let a = -4.2 - -0.2. What is the closest to 0.1 in 2/15, a, h?
2/15
Let o = 1.1 + -0.8. Let n = 37 + -37.2. Let j be ((-1)/(-2) - 0)*2. What is the nearest to j in 2, o, n?
o
Suppose -5*y - 4*g = 1, g - 28 = -4*y + 5*g. Suppose 2*c = y*c. What is the nearest to c in 1/5, 0.3, 1?
1/5
Let d = -8 - -8. Let x be 1/3 + -1 - 0. Which is the nearest to -2/7? (a) x (b) -0.4 (c) d
b
Let b = -251 + 2763/11. What is the closest to 1/2 in 0, b, -5?
b
Let y(v) = -v + 3. Let l be y(4). Let u = -0.05 - -0.11. Let m = -0.46 + u. Which is the nearest to l? (a) m (b) 2/3 (c) 0
a
Let l = 35 + -10. Let q be (2 + (-3)/2)*l. Let p = 13 - q. Which is the nearest to p? (a) 3 (b) -0.2 (c) 2/3
c
Let h = -0.04 - -2.04. Let d = -7 + 11. Let s = d + -5. Which is the nearest to h? (a) -0.5 (b) s (c) -1/4
c
Let t = 0.85 - 0.05. Let f = 3.8 - t. Let c = f - 3.3. What is the nearest to 2/9 in c, -0.1, 4?
-0.1
Let g = 14.3 - 14. Which is the closest to 1/3? (a) 0 (b) -0.3 (c) g
c
Let o = 0 + 1. Let q = 1258/7 + -180. Let d = -36 + 39. Which is the closest to o? (a) d (b) q (c) -5
b
Let a = -0.01 - 2.99. Let n be ((-115)/(-55) + -2)*-1. Let x = 1 + -1. What is the closest to x in a, n, -4/5?
n
Let k = 0.551 + -0.051. What is the nearest to 0.2 in -1, 0.4, k?
0.4
Let d = 97 + -96. Let m = -0.1 + -4.9. Which is the closest to d? (a) m (b) 3 (c) 0.4
c
Let m be (-4)/(-1)*(-2)/36. Let d = -6 - -1. Let q = 11 + -43/4. What is the nearest to q in 2/7, d, m?
2/7
Let b = -161 + 165. Suppose -3*m + m = 4. What is the nearest to 0.1 in m, 5, b?
m
Let t(d) = 7. Let o(p) = -p - 1. Let x(u) = o(u) - t(u). Let g be x(-5). Let r = 2 + -1.9. Which is the nearest to r? (a) g (b) -2/5 (c) 2/7
c
Let f = -0.25 - 0.05. Let k = -0.2 - f. Let n = -0.8 - 0.2. Which is the closest to -1? (a) -0.2 (b) n (c) k
b
Let y = -0.03 - -0.03. What is the closest to -1 in -1, 5, y?
-1
Let p = 0.7 - 0.5. Let o = 0 + 0.2. Let z = o + 0.2. What is the nearest to 0 in 1/8, z, p?
1/8
Let h = -16 + 22. Let w = -5.5 + h. Suppose 0 = 3*z - 7*z. Which is the nearest to z? (a) 4 (b) w (c) -5
b
Suppose 4 = -4*g + 8. Let m be 27/(-9) + (4 - g). Let s be 0 - -2 - 26/12. Which is the closest to m? (a) s (b) 1
|
{
"pile_set_name": "DM Mathematics"
}
|
prime?
True
Let q(d) = -13*d**3 - d**2 - d - 4. Let x be q(-3). Suppose -995 = -4*j - 4*r + x, -j - 4*r + 334 = 0. Suppose -z = 3*v - 248 - 98, -z = -v - j. Is z composite?
False
Let g = -2559 - -4464. Suppose -8*t = -11*t + g. Is t a composite number?
True
Let q(o) = 7*o. Let s be q(1). Suppose -10*i + 9*i = -5. Suppose i*z + 116 = s*z. Is z prime?
False
Let y be 14/10 - 6/(-10). Suppose -y*j = -0*j - 502. Is j prime?
True
Suppose 0 = -126*r + 150*r - 443928. Is r prime?
False
Suppose 0 = -2*l + 3*l - 21. Suppose -7*f + 0*f + l = 0. Suppose -f*g = -8*g + 1655. Is g composite?
False
Is (-3)/2 - ((-106418)/(-4))/(-13) prime?
False
Suppose 4*o + 2*r = 156200, 10878 = -3*o + 5*r + 128015. Is o a composite number?
True
Let b = 55 - 51. Suppose b = -0*w + w, 0 = 4*c + 3*w - 116. Is c composite?
True
Let o be 1071/2 - 1/(-2). Let j = 827 - o. Is j composite?
True
Let t = 23 + 46. Let b(o) = -o**2 - 40*o + 18. Let l be b(-40). Let c = t - l. Is c a prime number?
False
Let a = -17539 - -28968. Is a prime?
False
Let k(x) = x**2 + 11. Let z be k(0). Suppose 7*j + 60 = z*j. Is j composite?
True
Is (-8 - (-9 + 2))*-4393 a prime number?
False
Let c be 1/(7/1085*(-2)/14). Let m = c + 2466. Is m prime?
True
Let i be (-2)/7 - (-2 + 26982/(-14)). Let g = i + 1108. Is g a prime number?
True
Let n = -50573 + 86862. Is n a prime number?
False
Suppose 10*g - 26*g = -26960. Is g composite?
True
Let m = 7270 + 1296. Is m a composite number?
True
Is 1428174/44 + ((-2)/(-4))/1 prime?
False
Let y(j) be the third derivative of -17*j**6/40 + 5*j**2. Let b be y(-1). Suppose -b = 4*t - 1111. Is t composite?
True
Suppose 3*r + i = 4268, -4*r - i - 4*i + 5687 = 0. Is r a composite number?
False
Let m(a) be the first derivative of 35*a**3/3 + a**2/2 + a - 2. Let r be ((-3)/(-2) - 2)*-2*-1. Is m(r) a composite number?
True
Is 4 + -1 + -7 - -1855 composite?
True
Let x be 272/(-1) - (-3 + -1). Let i = 411 + x. Is i prime?
False
Let o(s) = 1058*s**3 + 5*s**2 - 10*s + 3. Is o(2) composite?
False
Is 7/(-28) + 9865/20 a prime number?
False
Suppose 5*r + 3*o + 2 = -8, 0 = 3*r + 3*o. Let h(q) = -6*q + 7. Let p be h(r). Suppose 2*k - 189 - p = 0. Is k composite?
False
Let s(v) be the third derivative of v**5/15 - v**4/12 + 5*v**3/6 + 5*v**2. Let h be 6/((-2)/(2 - 0)). Is s(h) a prime number?
False
Let y(v) = 1447 + 3*v - 465 + 0*v. Is y(0) a prime number?
False
Suppose 4*p - 6 = -2*n, 9 = 3*n + p - 0*p. Suppose -272 - 109 = -n*q. Is q prime?
True
Suppose 2*o + 2*h - 29 = -3, -4*o - 2*h + 52 = 0. Let q(n) = -n + 19. Is q(o) composite?
True
Let m(d) = -148*d**3 - 2*d**2 + 2*d + 3. Let c be m(-2). Suppose 3*u = c - 392. Is u + 1/(3/(-12)) a composite number?
False
Is (0 - (-3124034)/22) + (-60)/110 composite?
True
Is (-90)/(-21) + (-2)/7 - -1897 composite?
False
Let g be ((-6)/(-8))/(12/48). Let j = 1 + g. Suppose 3*i + 1 = 5*k, j*k + 6 - 2 = 4*i. Is i composite?
False
Suppose -843 = -4*k + 1613. Suppose -9*m + k = -1285. Is m prime?
True
Let g(x) = -9*x**3 + 2*x**2 - 1. Let u be g(-1). Let k(n) = -3 - 4 - 7*n**2 + 7*n**3 + 22*n - 6*n**3 - u*n**2. Is k(16) a prime number?
True
Suppose 10 = -8*x + 34. Suppose -o - 1832 = -x*d, 0*d + 2*o + 2442 = 4*d. Is d prime?
False
Let v(j) be the third derivative of 2*j**5/3 - 5*j**4/24 + j**3/3 + 25*j**2 + j. Is v(5) prime?
True
Suppose -614 - 916 = 3*z. Let k = 899 - z. Is k composite?
False
Let h = 967 - 986. Let s(l) = -l**2 + l + 1. Let m be s(-2). Let t = m - h. Is t a composite number?
True
Is (-2 + -10)/(-6) - -10165 a composite number?
True
Let r = 71139 - 42454. Is r prime?
False
Suppose 9*y + 11800 = 5*u + 4*y, -3*y - 9445 = -4*u. Suppose -4 = t - 3, 3*f - 4*t - u = 0. Is f composite?
False
Let u(g) be the first derivative of g**2/2 - 10*g + 1. Let j be u(10). Suppose j = -5*o - d + 638, -3*o + 4*d + 186 + 183 = 0. Is o a composite number?
False
Let h be (1/(-1))/(-1) - -2. Let u be -2 + 10/2 - h. Let z(v) = -v + 39. Is z(u) prime?
False
Let t(u) = 3595*u**2 - 15*u - 3. Is t(-3) prime?
False
Suppose -9*j = -14*j - 3*p + 244669, -195738 = -4*j - p. Is j composite?
True
Let z(h) = -3*h**2 + h - 1. Suppose -3*p - 4*w + w = -12, p - 7 = -2*w. Let i be z(p). Let u(o) = -3*o**3 - 3*o**2 + o - 2. Is u(i) prime?
False
Suppose 8 - 20 = -6*n. Suppose n*m = -0*m + 2426. Is m composite?
False
Suppose 0 = -4*h - 5*r + 482 + 6520, h - 3*r = 1759. Is h a composite number?
False
Let t = 1208 + 2571. Is t prime?
True
Is 586*(-23)/(0/(-5) + -2) a composite number?
True
Let w be ((-6)/9)/((-6)/81). Suppose 0 = 5*g - w*g + 264. Let d = g + -29. Is d a composite number?
False
Suppose -5*u = -4*d + 15 - 50, -4*u + 17 = -d. Suppose -u*z - 5*x = -323, -6*z + z + x = -529. Is z/(3/3 + 1) a prime number?
True
Let a(c) = 9*c + 4. Let q be a(3). Let f = 31 - q. Suppose f*u + 5*u = 335. Is u a composite number?
False
Let b(a) = -295*a**3 - 5*a**2 + 5*a - 4. Let j(r) = 296*r**3 + 6*r**2 - 6*r + 5. Let m(x) = -6*b(x) - 5*j(x). Is m(1) composite?
True
Suppose -11*o + 6*o = 1030. Let r = o + 289. Let v = r + -16. Is v a composite number?
False
Let i = 156 + 425. Is i a composite number?
True
Suppose v = 5*x + 681 - 9914, 4*x = 4*v + 7380. Is x prime?
True
Suppose -4*t + 3*x + 27136 = 0, -15*t = -20*t - x + 33939. Is t a composite number?
True
Suppose -3*i = -6*i - 5*f - 2317, 5*i - 2*f = -3810. Let h = 1201 + i. Is h a composite number?
True
Let d(u) = 17*u**2 - 2*u. Suppose 2*v - 3*v = 5. Let z be d(v). Suppose 0 = t + 2*t - z. Is t prime?
False
Suppose 0 = -4*g - 3*d - 18 - 0, -g - d - 4 = 0. Let b(t) = 6*t**2 + 2*t + 9. Is b(g) prime?
False
Let j(f) = 7*f**2 + 5*f - 11. Suppose 50 = -9*d - 22. Is j(d) composite?
False
Suppose 1786 = 6*b - 4*b. Is b a prime number?
False
Let w be 2/(-6)*(3 + -3). Suppose w = -8*p + 4*p + 1508. Is p a prime number?
False
Let u(s) = -6*s - 6. Let j be u(-1). Suppose -c + 2487 = m + c, j = -c - 4. Is m composite?
True
Suppose 0*u + 6 = -l - 3*u, 4*u + 4 = -2*l. Suppose -7 - 1 = -4*r. Suppose m + t - 181 = 3*t, r*t - l = 0. Is m prime?
False
Suppose 26661 - 261060 = -4*h + 5*j, 0 = h - 4*j - 58597. Is h prime?
True
Let a(p) = p**2 + p - 3. Let k be a(-3). Suppose 0 = k*v + v - 84. Is (658/v)/(4/6) prime?
True
Let o be 3 - (7 - (0 + 4)). Suppose 1288 + 273 = d - 4*f, o = f. Is d a prime number?
False
Suppose -h = m + 3*h - 2, -m = -2*h - 2. Suppose -b + m*b = -4*z + 1147, -1152 = -b + z. Is b prime?
True
Suppose -18*z + 17833 = -z. Is z a composite number?
False
Let l(r) = -2898*r**3 + r**2 + 13*r + 11. Is l(-1) composite?
False
Let p(k) = -k**2 - 7*k - 4. Let y be p(-5). Is (-9)/27 - (-8864)/y prime?
False
Let h(i) be the first derivative of 2*i**3/3 - 17*i**2/2 + 7*i - 19. Is h(12) prime?
False
Let d = -21 - -24. Suppose 2*p + 4*x = -0*p, -4*p = d*x. Suppose -12*f + 6*f + 762 = p. Is f composite?
False
Let q be -10*-1*(-3)/(-6). Suppose q*u - 20 = -5, -1 = -4*o + 5*u. Suppose -5*x - l = -395, l + 362 - 46 = o*x. Is x a prime number?
True
Let b = 36495 - 8788. Is b prime?
False
Suppose -7*w = -201575 + 74266. Is w a prime number?
False
Let b(k) = 11*k + 5. Let g be b(-2). Let n = g + 20. Is (n/6)/(5/890) prime?
True
Suppose -5*t - 51 = -291. Let m(c) = -23*c - t*c**3 + 319*c**3 - c**2 + 25*c - 1. Is m(1) composite?
False
Suppose -58*k = -122354 - 38132. Is k a composite number?
False
Let l be 5*(3 - (-81)/(-15)). Let u = 14 - l. Is u prime?
False
Let g be -28 + 3 + -1 + -3. Let f = g - -33. Suppose 188 = f*c - 0*c. Is c composite?
False
Let r(l) = -505*l + 5. Let p be 1/(2/(-6)) + 10. Let o(i) = 252*i - 2. Let m(f) = p*o(f) + 3*r(f). Is m(2) composite?
False
Let o be 2/(-6) - (-48)/9. Suppose -o*r + 1125 = 5*t, -2*r = -t - 3*t + 888. Is t prime?
True
Let k = 84797 - 40944. Is k prime?
True
Let m(p) = 0 + 6*p + 0*p - 2 - 4 + 3*p**2. Is m(9) a prime number?
False
Suppose b + 438 = 1626. Let s = b - 115. Is s prime?
False
Let m(w) = 10 - 2*w - 330*w + 50*w - 39. Is m(-4) a composite number?
True
Let z(r) = -23226*r**3 + r**2 + 89*r + 89. Is z(-1) composite?
False
Let d(t) = t - 17. Let k be d(20). Suppose -o + k*y + 582 = -0*o, 5*y = -4*o + 2277. Is o a composite number?
True
Let p(w) = -4*w**3 - 10*w**2 + 3*w + 28. Suppose -67*o = -64*o + 33. Is p(o) composite?
True
Suppose -22*x + 158240 = -138474. Is x prime?
True
Let u(t) = -1543*t + 3
|
{
"pile_set_name": "DM Mathematics"
}
|
than 0.05?
21.05
Calculate -0.2 + 179941.
179940.8
-0.332 - 6
-6.332
Calculate 0.0473 - 246.
-245.9527
Calculate 863 + -0.159.
862.841
Work out 11.02 + 0.1.
11.12
2+-1518
-1516
What is the distance between 0.4 and -0.081?
0.481
Calculate 0.0639 + -327.
-326.9361
What is 0.27 + -2624?
-2623.73
Calculate 432.5 - 2.
430.5
Subtract -0.315 from -72.
-71.685
6 - 9264
-9258
Subtract 342 from 0.8.
-341.2
Subtract 1 from -874.
-875
What is 30.7 + -41?
-10.3
Work out -164 + -782.
-946
What is the difference between 5.35 and 1.5?
3.85
What is the distance between 1116 and 3.3?
1112.7
Calculate 16.7 - -0.8.
17.5
-1041+-17
-1058
Add together -4130457 and -3.
-4130460
Add together 9 and 20.
29
Subtract 0.2 from -27650.
-27650.2
Work out -0.057797 - 0.07.
-0.127797
Add together 3.112 and -0.052.
3.06
Total of 4767 and 0.
4767
-34.304 - -5
-29.304
What is -492 plus -196?
-688
Work out -97 + 16.4.
-80.6
Work out -5.603 - -0.6.
-5.003
-0.2 + -746
-746.2
Put together 13.9 and -10.
3.9
Calculate 28.9 + -259.
-230.1
Work out -2.4 - 195.
-197.4
Calculate 9424 - 4.
9420
Add together -0.2194 and -0.3.
-0.5194
Work out -0.94 - 1450.3.
-1451.24
-406.7 - 0.1
-406.8
9566.2 + 7
9573.2
-0.111+-13
-13.111
Calculate -575.055 - -0.08.
-574.975
-2+-3.7608
-5.7608
Calculate -4756 - -2.
-4754
Calculate -0.5 + -11453.
-11453.5
What is the distance between -147.14 and 0.5?
147.64
69+-56
13
What is -4 + 0.07632?
-3.92368
Work out 0.3 - 0.1474782.
0.1525218
Calculate -660 - -0.05.
-659.95
Add -160791 and -0.5.
-160791.5
What is 175 less than -3?
-178
What is the distance between -0.123 and -457?
456.877
What is -4640 take away -1.2?
-4638.8
What is -5 take away -85.857?
80.857
What is 0.04 plus 15047?
15047.04
Total of 9.82 and 0.01.
9.83
Work out 8.0399 - 5.
3.0399
Add together -0.4 and -206382.
-206382.4
Add -0.0578 and 4.
3.9422
What is -81950 less than 0.05?
81950.05
What is -2394657 plus 4?
-2394653
What is -0.1761596 plus 4?
3.8238404
Subtract -0.81 from -13.
-12.19
Calculate -0.08 + -0.031.
-0.111
Work out 0 + 0.205802.
0.205802
Sum -5 and -28391.
-28396
What is 11 less than 0.018?
-10.982
Put together -7875 and 30.
-7845
Add together -7 and 12.
5
Calculate -97 + -115.6.
-212.6
What is -0.2259 take away 0.083?
-0.3089
Total of -2 and 0.0676.
-1.9324
Subtract -35 from -33554.
-33519
What is -3 plus -307.01?
-310.01
Calculate 419 - 0.235.
418.765
What is -1 - 7.267?
-8.267
Calculate -0.2 + 170.2.
170
Add 0.0310338 and 0.4.
0.4310338
What is 10020 plus -8?
10012
What is 4.910786 plus 0?
4.910786
0.6 - 4217
-4216.4
Put together 0.3 and -136.4.
-136.1
3+-12962
-12959
What is -57 minus -1.27?
-55.73
-17.75+-22
-39.75
What is -0.1313 less than -4?
-3.8687
Work out -19.0994 + 1.3.
-17.7994
What is 58578 less than 0.6?
-58577.4
0.27 + 258
258.27
Add together -858 and 0.3.
-857.7
Add -6.32 and 27.
20.68
Add 9082 and -0.5.
9081.5
Put together -0.03 and -2.13.
-2.16
930+27
957
Work out -1.2 - -0.7.
-0.5
Calculate -4 - 454821.
-454825
What is 0.04 take away -517?
517.04
What is -0.0754 minus 0.089?
-0.1644
Calculate -0.58 - 1352.
-1352.58
-0.3+25434
25433.7
Subtract 10160 from 0.24.
-10159.76
What is the difference between 168.79 and -49?
217.79
Subtract -3.4 from -5.
-1.6
-15.59+0.4
-15.19
Add together 4 and 1528.
1532
What is -712.12 take away 0.2?
-712.32
What is -0.7 plus -703?
-703.7
Calculate -9421 + -3.1.
-9424.1
What is 227.62 plus -85?
142.62
What is -5 - -3.3591?
-1.6409
What is the difference between 4.75 and -1?
5.75
What is -0.04906 minus -1.684?
1.63494
What is 1.1 + -51?
-49.9
Calculate 3 + -9.02.
-6.02
What is 0.6 plus 10939?
10939.6
Total of -55 and 29859.
29804
Calculate 29 + -0.163.
28.837
What is -570 take away 0.104?
-570.104
Work out 53 + -325.9.
-272.9
What is the distance between -0.1023 and -0.08?
0.0223
What is the difference between -0.04 and -4.3746?
4.3346
What is 27211 plus -0.5?
27210.5
0.0698 - 5752
-5751.9302
What is -20055 + 1?
-20054
7.54 + 1559
1566.54
Total of 101.346 and -6.
95.346
Subtract 300 from -0.0965.
-300.0965
Add together 1 and -0.1578.
0.8422
Put together -10 and -958.
-968
What is the difference between -0.074 and 1912?
1912.074
What is the difference between -178.84 and -0.2?
178.64
Calculate 4 + 10.75.
14.75
What is -2 plus -0.0291?
-2.0291
114168 + 0
114168
Calculate 0.461 + 6742.
6742.461
Calculate 0.5 + 508.63.
509.13
What is -583 less than 9.67?
592.67
-718 - 14
-732
What is 0.1 + -36.691?
-36.591
What is -0.5 + 299?
298.5
Work out -1 - 1507046.
-1507047
What is the distance between -1969 and -0.3?
1968.7
Add -1437681 and 0.
-1437681
What is the distance between 23313 and 112?
23201
Subtract -597 from 10.
607
What is the distance between 0.3 and 1045864?
1045863.7
What is the distance between -3.63335 and 0.2?
3.83335
What is the distance between 0.3 and -2791?
2791.3
What is -4 less than -441?
-437
What is -0.5 - 338753?
-338753.5
What is -0.052 plus -65.6?
-65.652
Add 1.3 and -17.3.
-16
What is 18578 plus 1?
18579
Calculate -47 - -0.005187.
-46.994813
Add 1.731533 and 0.1.
1.831533
Total of 0.3 and 0.2293.
0.5293
What is 0.33 take away 1281?
-1280.67
-21.2 - -0.06
-21.14
-5+3.7603
-1.2397
What is -0.3 take away 6182?
-6182.3
Work out 82.1 + -0.1289.
81.9711
Calculate 0.34785 - 0.051.
0.29685
-0.2662 + -4
-4.2662
What is 7 less than -2.72?
-9.72
What is the difference between 5 and -0.0247?
5.0247
Work out 0.05297 - 0.4.
-0.34703
592.156 - -0.3
592.456
What is -0.959 + -5?
-5.959
What is 2.03 - -7?
9.03
Work out 72375 - 0.1.
72374.9
Calculate 180688 + -0.5.
180687.5
126+-2567
-2441
-21126+0.016
-21125.984
Put together -12.4444 and 0.
-12.4444
-16.54163+-1
-17.54163
What is -15 take away -0.112?
-14.888
Add -0.426 and -0.06.
-0.486
Work out 5383 - -7.
5390
-3026 - 18
-3044
Total of -2 and -1262722.
-1262724
What is -0.5 less than 4.7151?
5.2151
What is the distance between 569 and 0.0406?
568.9594
What is -275377 + -0.01?
-275377.01
Put together 0.375334 and -2.
-1.624666
Add together 75 and 0.41.
75.41
Subtract -71606 from 8.
71614
-98910 - -2
-98908
Work out 0.7 - -0.142.
0.842
What is -0.2 minus 48.25?
-48.45
What is -13171 minus -0.9?
-13170.1
Add 359 and -0.449.
358.551
Put together 0.202 and 93.73.
93.932
What is 0.3 less than -24744?
-24744.3
What is -2538 minus -154?
-2384
What is the distance between -0.9934 and -21.4?
20.4066
What is -0.15 minus -0.5?
0.35
What is -84 plus -7916?
-8000
Calculate 114.8 - 4.9.
109.9
What is 5351 less than -7.4?
-5358.4
What is 0.104 - -6848?
6848.104
Calculate -225 - -3.75.
-221.25
Total of 53 and 651.
704
Calculate -3.3 - 19.92.
-23.22
Work out -79 + 984.7.
905.7
What is -2000.7 take away 20?
-2020.7
Calculate -7.42 + 9057.
9049.58
Subtract -0.098424 from -0.2.
-0.101576
-0.23+-1
-1.23
Add together -574.34 and -7.3.
-581.64
Add 1.1709744 and -5.
-3.8290256
Calculate 76 + 11.
87
Work out 1401.7 + 0.05.
1401.75
What is -5 + 1074?
1069
What is 5376 - -0.5?
5376.5
What is 0.041 less than -0.04217?
-0.08317
Add 10082975 and -0.4.
10082974.6
What is 0.3 minus -339.1?
339.4
What is the distance between -2448 and 31?
2479
0.51 + 0.042168
0.552168
Put together 174 and -1.34.
172.66
Sum -12098293 and -4.
-12098297
Sum -0.2 and 954.
953.8
What is -8254 + -9.8?
-8263.8
What is 3.5 - 40?
-36.5
What is the distance between -6767 and 0?
6767
What is -3 plus 1093823?
1093820
Subtract 20.66 from -0.074.
-20.734
-100 - 21
-121
Add together 1186 and -0.353.
1185.647
-0.1 + 1232
1231.9
What is 1712 + 15?
1727
Work out -11 + -0.051.
-11.051
Total of -4477 and 0.
-4477
-64.3+-8.3
-72.6
Add -0.0192 and 0.07.
0.0508
Total of -48 and -4.
-52
What is -659.582 - -0.5?
-659.082
Total of 10149 and -0.1.
10148.9
What is the difference between 0 and -413111?
413111
Calculate -436.089 + 2.
-434.089
Add together -111 and 0.2.
-110.8
Calculate 21 + 0.47.
21.47
Add -31526 and 156.
-31370
What is -0.5 take away 0.892?
-1.392
What is 19.6 plus 40.3?
59.9
Subtract -0.0298 from -2464.
-2463.9702
What is the distance between -17.566 and 0?
17.566
Work out -36.75 - 1.
-37.75
Subtract -10292 from 0.2.
10292.2
What is -0.1 minus 29.9?
-30
Calculate 4 - 0.0824.
3.9176
What is 0.9 minus 247?
-246.1
-16.83+-4
-20.83
Work out 78 + 0.061.
78.061
What is 0.1 - -0.1734995?
0.2734995
What is -0.9 take away 0.095?
-0.995
Add together -115
|
{
"pile_set_name": "DM Mathematics"
}
|
t is the product of -0.26615 and 8436?
-2245.2414
Work out 45429 * 5.98.
271665.42
Work out -13.55939 * 499.
-6766.13561
What is -0.622 times 8.8343?
-5.4949346
17 * -4090103
-69531751
Multiply -0.2328177 and 0.5.
-0.11640885
Work out -3 * 17296107.
-51888321
What is the product of -818.6 and 53.74?
-43991.564
5.3913 times 0.247
1.3316511
0.1*2926444
292644.4
Multiply 17.589 and 538.3.
9468.1587
What is 248681 times 13?
3232853
What is the product of 178 and 1.9463?
346.4414
Work out -25058014 * -1.5.
37587021
-4803097*-2
9606194
-11036601 * -0.05
551830.05
Product of -14792 and 633.
-9363336
Multiply 0 and -27183.64.
0
What is -11914.175 times -4?
47656.7
0.615359 times -0.2
-0.1230718
Work out 0.0191 * 6.2293.
0.11897963
What is the product of 1624191 and 0.06?
97451.46
Work out 32525754 * -0.1.
-3252575.4
2174 times 6377
13863598
0.29*-2578126
-747656.54
Multiply -255909 and 50.
-12795450
-0.0714248*0.17
-0.012142216
0.4 * 88395569
35358227.6
What is 24813551 times 5?
124067755
Multiply -40287 and 245.
-9870315
Work out -11510.6 * 0.3321.
-3822.67026
Product of -1.86 and 9.1793.
-17.073498
Product of 0.05871 and 0.0514.
0.003017694
-0.43*1.74286
-0.7494298
Multiply 0.4 and -34826606.
-13930642.4
65508 * -0.61
-39959.88
Product of 0.0684 and 0.1997.
0.01365948
Work out -0.3 * -1644433.2.
493329.96
What is the product of 16 and -100738.6?
-1611817.6
-813 times -963.2
783081.6
-4.238 * -0.417
1.767246
0.5*-153787.83
-76893.915
Work out 34.392483 * -0.1.
-3.4392483
3066088 times -2
-6132176
Multiply -25083527 and -3.
75250581
Multiply 898.634 and -2.
-1797.268
-22186 * 2016
-44726976
Product of -0.33655975 and -5.
1.68279875
-3.3*703.9446
-2323.01718
Multiply 0.5 and 284127.
142063.5
Product of 882 and -7237.
-6383034
-0.0283252*4.05
-0.11471706
-164.48812 times -0.3
49.346436
What is -0.15044 times -637?
95.83028
What is -8.454 times 1.27?
-10.73658
What is -456695 times -770?
351655150
Work out -0.1 * -39.318804.
3.9318804
What is -368016 times -47?
17296752
Calculate 2.434175*1.
2.434175
What is the product of -33.12 and 13186?
-436720.32
Multiply 19897557 and 0.04.
795902.28
0.08001949 times 0.3
0.024005847
Calculate 11.02788235*-0.5.
-5.513941175
Product of -20631 and 30498.
-629204238
0*-28004086
0
Calculate 7081211*1.
7081211
Product of 5 and -2.4213648.
-12.106824
122847976 times 0.3
36854392.8
Multiply 5 and 45804191.
229020955
Product of -0.5 and -181.77957.
90.889785
What is 0.1 times -325704?
-32570.4
What is the product of 22817360 and -1?
-22817360
-132.69 times -0.0493
6.541617
16413859*2
32827718
0.8289 times -20506
-16997.4234
0*27678463
0
What is the product of 540952 and -21?
-11359992
90316.554 times 0
0
Multiply 413.5 and -13185.
-5451997.5
Multiply 1.49123 and 856.
1276.49288
Work out -17.66 * 0.62202.
-10.9848732
Work out 10 * -895476.
-8954760
What is 0.06 times -28093.05?
-1685.583
What is -1261696 times -30?
37850880
0.9*504163.87
453747.483
Work out -0.2421 * 1461.
-353.7081
-57301*2.65
-151847.65
0.0936046*1.5
0.1404069
Product of -225257 and -9.2.
2072364.4
-0.7371*-0.0356
0.02624076
What is the product of 5 and -0.2312467?
-1.1562335
-9.9*1007683
-9976061.7
Work out 0.27 * 0.100527.
0.02714229
-164.91125 * 0
0
Work out -444.43046 * -2.
888.86092
Work out 8 * -2280.141.
-18241.128
What is the product of -6 and 33181814?
-199090884
What is the product of 357.2 and -2435?
-869782
What is 0.17405755 times -4?
-0.6962302
1.631*-23032
-37565.192
What is the product of 65 and -212180?
-13791700
997 times 230907
230214279
Work out -110.779 * 85.
-9416.215
Calculate 0.219187*28.4.
6.2249108
Calculate -0.08*-1037890.
83031.2
Multiply -89 and -1.7064.
151.8696
-459 * -268.9
123425.1
205.0845 * 0.094
19.277943
Calculate -0.4*-139211.5.
55684.6
What is 23 times 112030?
2576690
583*-0.3682
-214.6606
30245935 * 8
241967480
Product of -4 and 5265155.
-21060620
What is -0.5 times 81657548?
-40828774
1.5901 * -39.39
-62.634039
0.18*3.908454
0.70352172
39.16549*-0.37
-14.4912313
115491*488
56359608
278661.3 * 23
6409209.9
Product of 250 and 2418.2.
604550
92.78909 times -0.1
-9.278909
Calculate -6661314*-18.
119903652
3472.5189 * -3
-10417.5567
Multiply -4913004 and -0.1.
491300.4
Work out -0.35 * -0.8828.
0.30898
Work out 44953212 * -0.3.
-13485963.6
What is the product of -799197 and -0.13?
103895.61
Work out -863539 * 8.
-6908312
Calculate 337.973*0.1495.
50.5269635
Product of 54081.3 and 6.
324487.8
What is -0.35 times 0.5019068?
-0.17566738
-5*10098881.4
-50494407
-899 * 231371
-208002529
What is -13635.4248 times 0.5?
-6817.7124
-71.18*3670
-261230.6
Work out 9.6 * 141276.8.
1356257.28
Work out 0.2 * 0.022461.
0.0044922
977 times 123
120171
-10545373 * -0.3
3163611.9
3493005.7 times -0.5
-1746502.85
7321.306*0.2
1464.2612
Multiply -608.012529 and -0.5.
304.0062645
-1007045 * -0.158
159113.11
Multiply -10689 and -61.7.
659511.3
Multiply 0.3 and -41879043.
-12563712.9
31565 times 1.08
34090.2
Multiply -61239 and 120.
-7348680
Work out 345622625 * 0.
0
2062901.48 * 0
0
Work out -28115 * -5.
140575
Calculate 0.34*94.2018.
32.028612
-26001.653*0.3
-7800.4959
243.4*-3360
-817824
Work out 67.2754 * 14.4.
968.76576
-5994040 times 2
-11988080
-125*-980770
122596250
Work out 0.16 * 1779272.
284683.52
-213870*-573
122547510
What is 17 times 119.03332?
2023.56644
Product of -2650.1 and 1361.
-3606786.1
Work out -1303 * -8684.
11315252
Work out -18 * 7.70752.
-138.73536
2.1422 times -5.44
-11.653568
What is 9476 times 23.31?
220885.56
31664 * 96
3039744
Product of -527 and 1.5694.
-827.0738
Product of -241930 and -3.14.
759660.2
Work out -18.1 * -0.09731.
1.761311
Work out 519 * -19.1744.
-9951.5136
Work out 17462 * -0.16.
-2793.92
Product of 264625 and 0.231.
61128.375
Work out 82241 * -68.3.
-5617060.3
Calculate -2*214157.
-428314
0.2 times -1.8164644
-0.36329288
-14 times -4974320
69640480
Calculate 0.3*-10998638.
-3299591.4
Product of -12319691 and -1.
12319691
2.6 * 271156
705005.6
-158 * 33638
-5314804
1.5479863*-1
-1.5479863
Product of -22876 and -149.
3408524
Work out 141868 * -1.27.
-180172.36
Multiply 123 and 363.63.
44726.49
Work out 3353584 * 12.
40243008
Calculate 140*1132.
158480
What is the product of 382.62576 and 5?
1913.1288
What is the product of -0.4 and -87.185?
34.874
-2 times 2247732
-4495464
Calculate -0.11*-2045.72445.
225.0296895
Product of 7.26295 and 1028.
7466.3126
Work out -91083096 * -0.2.
18216619.2
Multiply -1503.5 and 205.
-308217.5
Work out -37 * -51636.
1910532
Product of -0.2 and -0.1471794.
0.02943588
-3 * 4.8132614
-14.4397842
-3.942 * -17863.7
70418.7054
Calculate 5*-60531623.
-302658115
Calculate -1*-45.5348.
45.5348
-5.8*1644998
-9540988.4
Product of -1.5977 and -18.91.
30.212507
9 times -25897917
-233081253
Product of 0.042 and -1831465.
-76921.53
What is the product of -6.42 and -75.8?
486.636
Calculate 3.797*1399.
5312.003
-0.00417*-350.3
1.460751
Multiply 0.1913927 and -173.
-33.1109371
Work out -75 * 56.6775.
-4250.8125
Work out -34704 * -138.
4789152
What is 11484820 times 3?
34454460
What is the product of -36 and 0.0891922?
-3.2109192
What is -46204.1 times 0.75?
-34653.075
Calculate -88.9*-639.301.
56833.8589
Product of -1 and -108015692.
108015692
Calculate 25593*6.28.
160724.04
What is the product of -0.1 and 9194089?
-919408.9
-2.3 * 0.56432
-1.297936
Product of 11042881 and 1.
11042881
Work out -1.0477 * -7003.
7337.0431
What is the product of -143281929 and 2?
-286563858
Multiply -804880 and 5.
-4024400
Multiply 0.21 and -35396.288.
-7433.22048
Work out -40018367 * -4.
160073468
Product of 8586101 and -0.02.
-171722.02
Product of -0.7 and -73813169.
51669218.3
What is the product of 114940838 and 4?
459763352
-1 times -7.6642304
7.6642304
1.878 * -7488
-14062.464
Calculate 207949*633.7.
131777281.3
Multiply -10 and 291.438.
-2914.38
Product of 0.14639 and 32.7.
4.786953
Work out -4.09 * 109909.
-449527.81
Calculate 3*-1620607.
-4861821
-1.3101904 times 0.1
-0.13101904
What is the product of 0.18 and 1.168741?
0.21037338
Calculate 4.545017*-20.
-90.90034
-1265 * -58697
74251705
What is the product of -45.67 and -1443?
65901.81
What is the product of -0.3 and -50833439?
15250031.7
Work out -17.757 * 25.3.
-449.2521
-28952929 * -5
144764645
4 times 5232359
20929436
Product of -1.1 an
|
{
"pile_set_name": "DM Mathematics"
}
|
f a microgram?
75
What is 62/7 of a week in hours?
1488
What is 908861.7 millimeters in nanometers?
908861700000
How many millimeters are there in eleven eighths of a meter?
1375
How many minutes are there in three sixteenths of a week?
1890
What is twenty-seven quarters of a meter in centimeters?
675
How many milliseconds are there in 5.852401 microseconds?
0.005852401
What is 0.5983908 millilitres in litres?
0.0005983908
What is 89112.99ml in litres?
89.11299
What is 31/5 of a milligram in micrograms?
6200
How many centimeters are there in 49/5 of a meter?
980
How many millilitres are there in 59/5 of a litre?
11800
Convert 96.42848 minutes to nanoseconds.
5785708800000
How many minutes are there in 9165.543us?
0.00015275905
What is one twentieth of a litre in millilitres?
50
How many nanoseconds are there in 0.6340759s?
634075900
What is 7.110932 millilitres in litres?
0.007110932
How many nanoseconds are there in 66.1937 minutes?
3971622000000
What is 3/40 of a litre in millilitres?
75
What is 1/5 of a day in minutes?
288
How many centimeters are there in three tenths of a kilometer?
30000
Convert 1268912.52 milliseconds to days.
0.0146864875
What is twenty-one eighths of a litre in millilitres?
2625
How many millimeters are there in 13575.59m?
13575590
What is 1/4 of a day in seconds?
21600
How many millilitres are there in 21/5 of a litre?
4200
What is 17/4 of a milligram in micrograms?
4250
What is 1626.567 litres in millilitres?
1626567
What is 73/4 of a litre in millilitres?
18250
What is 3348273.6 nanoseconds in hours?
0.000000930076
What is 97722.04 weeks in seconds?
59102289792
What is nine tenths of a kilometer in meters?
900
How many seconds are there in one quarter of a minute?
15
What is 2470.591ml in litres?
2.470591
Convert 85.38235us to seconds.
0.00008538235
How many millimeters are there in 25/2 of a centimeter?
125
What is eleven tenths of a millennium in centuries?
11
Convert 326535.39us to hours.
0.000090704275
What is three fifths of a litre in millilitres?
600
What is three eighths of a milligram in micrograms?
375
Convert 1.713602mm to centimeters.
0.1713602
How many months are there in 3/50 of a millennium?
720
What is 5/8 of a millisecond in microseconds?
625
How many litres are there in 9580.766 millilitres?
9.580766
How many hours are there in eight thirds of a week?
448
What is 216.76521s in minutes?
3.6127535
What is 8/25 of a litre in millilitres?
320
What is seven eighths of a microgram in nanograms?
875
What is 9.416194t in nanograms?
9416194000000000
What is 13/4 of a millennium in years?
3250
How many minutes are there in three sixteenths of a week?
1890
What is 883.5355 micrograms in grams?
0.0008835355
What is 19/4 of a tonne in kilograms?
4750
What is 10801673.4 hours in weeks?
64295.675
What is 68430.852 milliseconds in weeks?
0.00011314625
What is three eighths of a millisecond in microseconds?
375
How many centuries are there in 1021.801 decades?
102.1801
Convert 915356.2ml to litres.
915.3562
What is 26/5 of a century in decades?
52
Convert 0.324413 decades to months.
38.92956
Convert 2.461555 millennia to months.
29538.66
How many kilograms are there in one quarter of a tonne?
250
Convert 4.5727l to millilitres.
4572.7
How many millilitres are there in 1/4 of a litre?
250
Convert 9.205014us to minutes.
0.0000001534169
How many millilitres are there in 53.1196 litres?
53119.6
How many kilograms are there in 9.459042 nanograms?
0.000000000009459042
How many years are there in 18/5 of a century?
360
What is 59.23539 millennia in decades?
5923.539
Convert 9.773359l to millilitres.
9773.359
What is 7/2 of a year in months?
42
What is 34.06971g in tonnes?
0.00003406971
What is eight fifteenths of a millennium in months?
6400
How many seconds are there in 1/4 of a hour?
900
What is 5396.752 micrometers in nanometers?
5396752
How many millimeters are there in one tenth of a centimeter?
1
Convert 0.6602037 millennia to months.
7922.4444
Convert 788.1326 kilometers to nanometers.
788132600000000
Convert 787527.6ml to litres.
787.5276
How many millilitres are there in 0.2692889l?
269.2889
What is 7.977965 hours in milliseconds?
28720674
What is 6774.261 weeks in seconds?
4097073052.8
Convert 24.21664 micrometers to centimeters.
0.002421664
What is 43/2 of a century in years?
2150
What is seven quarters of a litre in millilitres?
1750
How many centimeters are there in twenty-six fifths of a meter?
520
What is 1/10 of a gram in milligrams?
100
What is 1/28 of a week in minutes?
360
How many years are there in 0.8080321 decades?
8.080321
What is 47/4 of a kilometer in meters?
11750
How many milligrams are there in 9.97428ug?
0.00997428
What is thirty-one sixths of a year in months?
62
Convert 3745.19ml to litres.
3.74519
What is twenty-one fifths of a millennium in months?
50400
How many nanograms are there in eleven halves of a microgram?
5500
What is 585801.7 years in millennia?
585.8017
Convert 769505.7 hours to seconds.
2770220520
How many hours are there in fourty-three halves of a day?
516
How many milligrams are there in seventy-four fifths of a gram?
14800
What is 55/4 of a litre in millilitres?
13750
How many tonnes are there in 5.288953mg?
0.000000005288953
What is five quarters of a micrometer in nanometers?
1250
How many millilitres are there in eleven tenths of a litre?
1100
How many millilitres are there in twenty-five halves of a litre?
12500
What is 674.7494 millimeters in kilometers?
0.0006747494
Convert 5482.176 decades to centuries.
548.2176
How many nanoseconds are there in 1/10 of a millisecond?
100000
What is 3.75493 seconds in milliseconds?
3754.93
How many meters are there in 5703.289 micrometers?
0.005703289
What is 9.695725 years in months?
116.3487
How many months are there in one fifteenth of a millennium?
800
Convert 0.7054616 days to minutes.
1015.864704
How many centimeters are there in 31/5 of a meter?
620
What is 71/4 of a milligram in micrograms?
17750
How many kilograms are there in fifty-one quarters of a tonne?
12750
How many nanograms are there in one tenth of a microgram?
100
What is 62/7 of a week in hours?
1488
What is 3/28 of a week in minutes?
1080
How many months are there in 1/4 of a year?
3
How many micrograms are there in 76935.75kg?
76935750000000
Convert 69594.6 millimeters to centimeters.
6959.46
Convert 90959.18 milligrams to micrograms.
90959180
What is 21/2 of a millennium in decades?
1050
What is one fifth of a week in minutes?
2016
How many millilitres are there in six fifths of a litre?
1200
What is 52.13842 minutes in seconds?
3128.3052
How many litres are there in 9.786135ml?
0.009786135
What is twenty-five quarters of a micrometer in nanometers?
6250
What is 8.0117424 nanoseconds in days?
0.0000000000000927285
Convert 5025.151 litres to millilitres.
5025151
How many kilograms are there in 1440.111g?
1.440111
Convert 55.12069ug to nanograms.
55120.69
How many millilitres are there in three fifths of a litre?
600
Convert 0.9215344 centuries to millennia.
0.09215344
What is 582137.8 decades in years?
5821378
Convert 6440.909 micrometers to meters.
0.006440909
What is 1.099124ml in litres?
0.001099124
What is twenty-one fifths of a meter in centimeters?
420
Convert 555.1452 meters to nanometers.
555145200000
What is eight sevenths of a week in hours?
192
What is 9462.045 microseconds in minutes?
0.00015770075
What is 6.29429mm in kilometers?
0.00000629429
How many millimeters are there in 477.122 meters?
477122
How many decades are there in 8/25 of a millennium?
32
What is seventy-four fifths of a second in milliseconds?
14800
What is 3.915028 microseconds in seconds?
0.000003915028
Convert 1325.8893 months to decades.
11.0490775
How many milligrams are there in 47/4 of a gram?
11750
Convert 0.4366867 millilitres to litres.
0.0004366867
Convert 91208.78 weeks to milliseconds.
55163070144000
How many months are there in 1/6 of a decade?
20
Convert 3.361643 milligrams to grams.
0.003361643
How many nanoseconds are there in one fifth of a microsecond?
200
What is 3/40 of a millennium in years?
75
How many kilograms are there in 42203.9 nanograms?
0.0000000422039
How many kilograms are there in twenty-six fifths of a tonne?
5200
How many nanometers are ther
|
{
"pile_set_name": "DM Mathematics"
}
|
?
-50
Evaluate (915/16470)/((-2)/30).
-5/6
What is the value of 42*(-33)/(-99) - (-29)/1*1?
43
What is (-3)/4 - ((-5501646)/460)/137*(-20)/(-24)?
72
What is the value of 92/6 - (-81)/(4860/40)?
16
Calculate (-683704)/(-20208) + (-15)/18.
33
What is 108 + 45/(60/(-24) - -1)?
78
Calculate (-8349475)/2905920 - (-1)/(-64).
-26/9
What is the value of 266/(-342) + (-40)/(-48)?
1/18
Calculate (18 - (-3265)/(-180))/((32/(-8))/32).
10/9
877/(-25) + 158/1350 + 3*(-67)/5427
-35
Evaluate (60320/(-2160) - -28) + (-916)/(-27) + -1.
33
What is 53/((-2862)/180)*(-72)/20?
12
What is 7172/6006 - (16/(-5))/(1176/(-420))?
2/39
((-2)/(-3))/(((-68)/(-187))/((-15300)/(-330)))
85
What is 1/4*(-1129296)/6722?
-42
2772/11088*8/(-18)
-1/9
Calculate 74 + (-37151)/119504*238.
1/88
What is the value of (-16)/1606*1419/516?
-2/73
Evaluate 1050/945 + 2568/(-27) + (-22)/2.
-105
(2265/4)/(-5) + ((-336)/(-32))/(166 + -172)
-115
14040/48438*12/(-200)
-2/115
Calculate 2/(-11)*(-198 - (-92026)/(-356)).
83
Evaluate ((-68)/(-187))/((-1764)/154).
-2/63
Evaluate (26/143*-22)/((12/(-15))/1).
5
Calculate (-8)/4*976*50/1600.
-61
Calculate 4/((-12)/(-39)) + 25088/784.
45
Calculate (1509/(-84504))/(-6 - (-142)/24).
3/14
Evaluate 0 + 4 + -18 + 613 + -598.
1
What is the value of 3731/164 + (-216)/9 - (-4)/1952*626?
2/61
43*(-2)/222 - 312/(-340548)*59
-1/3
What is (-13 - 74) + 102 + 830/(-55)?
-1/11
Calculate (1/(-6))/(((-105)/(-50))/(32/40)).
-4/63
Calculate (-548)/6 - ((-2698)/6745)/((-6)/10).
-92
12 - 4 - (24 + 5) - (-90 - -68)
1
Calculate ((-31977)/(-1292))/((-21)/(-28)).
33
275*((-7308)/(-1575))/29
44
What is the value of -61 - (-68 + (15 - -6))?
-14
Evaluate (29 - 7707/266)/(4/19).
1/8
What is (4/(3*-4))/(((-222)/(-888))/((-9)/12))?
1
What is 9/((-144)/80) + (-2134)/(-440)?
-3/20
Evaluate (5 - 14)*642/(-46224).
1/8
Evaluate 2 + (-6)/45 + -13 + 16169/690 + -12.
3/10
What is 1064/(-114) + 10 + (-1 - -1) + (-3 - -6)?
11/3
What is (-56 - (-9932)/169)*(-3 - -2)*(-1)/(-4)?
-9/13
398/(-33) - 3*130/(-6435)
-12
What is the value of (-1)/(-756) + 246/(-1074528)*-156?
1/27
What is (26/4095)/((-242)/17545) + -1*(-8)/9?
3/7
Evaluate 262/65 + 290450/(-98753) + (-18)/17.
2/65
Evaluate (72/(-504))/((2/6)/1).
-3/7
(149/1490)/((-3)/(-10))*-2*(-51)/(-8)
-17/4
What is the value of 14/6 + (-7 - 870/18)?
-53
What is 11893/195 - (-743 + 804)?
-2/195
Evaluate (((-54)/5)/(-9)*20 - 13) + (-446)/40.
-3/20
Evaluate 36/(-2) + (-58 - (-6164)/67).
16
What is the value of ((-1452)/102 - 2) + (-304)/(-1292) - 32?
-48
Evaluate ((12452/72)/11 + -15)/((-1)/3).
-13/6
Evaluate (-17775)/(-65175)*2068/6.
94
Calculate (-13 - (-16)/88*81) + (-2)/1.
-3/11
(-80850)/(-72765)*81/(-12)
-15/2
(2/27 - 20064/(-9072))*(-10)/24*-9
60/7
69*((-11)/(-6) - (5 - 4))/((-1895)/1516)
-46
(-1 + 17 + (-10812)/1020)*(-10)/(-3)
18
(322/(-161))/(18/423)
-47
(((-6)/(-8))/(-3*(-52)/(-24)))/(90/360)
-6/13
Calculate ((-6288)/112 - -55)*(-3)/((-12)/70).
-20
Calculate (134/(-7705))/(130/(-150) - -1).
-3/23
Evaluate (-8 - ((-4)/18)/((-2272)/(-208) + -11))*-9.
98
Evaluate (-339)/35 + (-12)/20 - (5665 + -5679).
26/7
Evaluate 46/(12144/99) + (-375)/40.
-9
Evaluate 58/(3074/(-1219)) - 39.
-62
What is the value of 69*6/138*1/6*-118?
-59
What is the value of (-61 - -65) + 1*(42 + 2)?
48
What is 10*((-1346803)/18705 - -72)?
-2/87
Evaluate (-11)/(-143) + 6/((-23166)/(-1809)).
6/11
(-1046)/2615 + 141/90 - (-103)/(-6)
-16
Evaluate 20 + (117/6)/(148035/(-151940)).
-2/139
Evaluate (-8)/6*(-693)/(-6 - -27).
44
What is ((-3)/66)/((-545)/654)?
3/55
Calculate (10/48)/(26/(-15392)*-74).
5/3
What is the value of 2682 + -2676 + 3/(171/(-339)) + 6152/76?
81
What is (266/63*-6)/(-12 - 936/(-81))?
57
Evaluate (-27738)/(-2412) - (-298)/4.
86
What is the value of ((-6 - -2)*35/140)/(2/102)?
-51
What is 288/30 + -12*(-34)/(-24)?
-37/5
What is ((-49)/14)/7*42/3 + (241 - 281)?
-47
What is the value of (-41284)/144494*(1 - 3)?
4/7
(707006/(-24663))/((-4)/30*(-3 + -2))
-43
(45164/(-33873))/(49/(-9)*(-42)/(-7))
2/49
Evaluate (-83)/((-35690)/(-31992)) - -81.
33/5
Calculate (-1094133)/374003 + (-36)/(-46).
-15/7
Calculate ((-2354)/24717)/(1/(-462)) - 1.
43
((-40)/3 - 1/6) + ((-477)/18)/53
-14
What is the value of ((-218070)/10908 + 20)*-13*(-60)/(-1300)?
-1/202
Calculate (46/((-1288)/602))/(7/(-28)).
86
((-4554)/(-368) - 27)/(6/(-16))
39
Calculate ((-4899)/1704)/((-1)/16).
46
Calculate 19/3*-3 - (-88)/(5280/(-150)).
-43/2
What is the value of (-1557)/(-54) + (-63 - 10991/(-174))?
29
Calculate (16/(-184))/(-5 + (-10 - -21 - 8)).
1/23
Calculate (-566706)/(-12051) + (-94)/2.
1/39
What is (-120)/(-45)*(2 - 21/((-84)/(-176)))?
-112
What is 8300/350 - (-76)/(-665)*15?
22
1/(280/28 + -11) - 29
-30
Calculate (-145)/5 - -5*(-635)/(-50).
69/2
Evaluate (-28)/(-12)*9/(-84)*-24 + 6 + 111.
123
What is 34 + -41 + -9 + -1 + 15?
-2
What is the value of 54162/(-2124)*(-4)/(-6)?
-17
((-89207)/(-45809))/(3/57)
37
Evaluate (-15)/9*(158 - 161)*(-2 - 132/(-20)).
23
What is the value of (2*-4)/(112/14896*28)?
-38
Calculate (-2709)/(-99) - (18 + (-55)/(-11)).
48/11
What is (18/40)/(295/(-7080))?
-54/5
Calculate (225/(-50))/(4/16) + (-2 - (2 - 4)).
-18
Calculate ((5/(1220/(-8)))/((-127)/(-254)))/2.
-2/61
Calculate (-5600)/(-560) - (1 + (-922)/(-8) - (-143)/(-572)).
-106
What is (5/(-65))/((-19)/(-3 - -1200)) - 6/(-39)?
5
Evaluate (-330)/12*(-456)/1368*(-3)/15.
-11/6
What is (26/((-104)/(-18)))/(261/4988)?
86
Calculate 3/(-2) - ((-163)/76*22 + 3126/(-9899)).
46
Evaluate (-56)/20*(-840)/(-588).
-4
Calculate (1077/1436)/((-693)/(-360) + -2).
-10
What is the value of 24 + (-5)/4 + (-378)/(-168)?
25
What is the value of 24 + 92 + (-1888730)/16281?
-2/243
4/6*(9 - -4 - (-245)/(-10) - 2)
-9
Evaluate (32/84*(-2457)/(-4368))/(5/(-2)).
-3/35
What is (57/76)/((-26)/16 - -2)*8632/208?
83
((-12)/16)/(978/120 + -8) - -49
44
What is (-75174)/23919*(-56)/11?
16
Evaluate 132791/31958 + 99/(-22).
-10/29
What is the value of ((-32)/40 - -10)/(1212/120 - 10)?
92
((-2)/(-5))/(((-229031)/4935 - -46) + (-2)/(-5))
-42
What is 6/(((-1)/12)/(38/304))?
-9
Calculate 138/3 + (-3861)/((-5291)/(-37)).
19
What is the value of 5*238/4420*(12 - -14)?
7
Calculate 117 - ((-34 - 27) + 47).
131
Calculate (41600/(-225))/(-32) - (-6)/(18*-3)*-2.
6
What is (2 - -2 - 6360/848) + 3?
-1/2
What is 2935/2348*(8/(-14))/((-40)/(-28))?
-1/2
Calculate 216/(-3591)*((-4921)/38)/37.
4/19
What is (-19052)/1732 + 370/34 + 72/34?
2
What is (588/(-480) - -1)/(437/38 + -10)?
-3/20
((-6)/(-5))/((-1636)/20 - 14/35)
-2/137
Calculate 2143140/(-102498) - (-12)/(-11).
-22
Calculate (-57 + 48)*48/252*7.
-12
Evaluate ((-185)/296)/(((-20)/16)/((-120)/160)).
-3/8
Evaluate (-2737)/101269 - 3916/222.
-53/3
What is (-36108)/767 - (-84)/78?
-46
7 - (59 - 79) - 401/15
4/15
What is the value of ((-1644)/(-165) - 306/(-8415))*(-1 - 2/30)?
-32/3
(-660)/13860 + (-74)/(-966)
2/69
Calculate (2/(-10))/(173443/(-5980) + 29).
52
Evaluate 1154/64 - ((-99)/(-96))/33.
18
Calculate (9945/135 + -75)/((-5)/(75/(-2))).
-10
What is the value of (1 - -2)/(135 + (-18928)/140 - (-278)/40)?
4/9
What is (-4 - (-170)/35*1) + (-10 - 21472/(-2352))?
-2/147
What is the value of -16*36/3168 + (-1365)/55?
-25
What is the value of 3971/(-1311) + 54/1863 - (-90)/33?
-3/11
Evaluate 6764/(-133) + (1/3)/((-14)/6).
-51
What is the value of -11*5/10*(12 - (-380120)/(-31691))?
-2/67
What is (-2)/2 - (15/13)/(41 + (-935)/22)?
-3/13
Evaluate 22944/188 - 22*162/83754.
122
Evaluate (81/(-162))/(0 - (-11)/(2 + 0 - -2)).
-2/11
What is -20*((-20682)/2295 + 9)?
4/17
What is the value of (48/(-7))/(150*(-168)/(-176400))?
-48
What is -1517 - -1508 - (2 - 363/36 - 1)?
1/12
Calculate (2*((-26)/8 - -4))/((-2632)/(-32) - -16).
2/131
What is the value of 1152/324*828/6992?
8/19
(-16947)/2690*(-37)/(-666)
-7/20
Evaluate (-10)/(-15) + -38*(780/(-792) + 1).
1/11
Evaluate (1173/5865)/(2*1).
1/10
What is the value of ((-1)/(-2))/(1020/3570)*(-6 + 1752/294)?
-1/14
What is the value of ((-14)/(-42))/(5 + 583/(-110))?
-10/9
Calculate (-4175)/(-2505) - 4*(-5)/((-300)/(-1415)).
96
What is 1793 - 1800 - (-415)/24*6/15?
-1/12
7*264/231 - ((-1225)/(-84) - 7)
5/12
What is the value of (3/63)/((-388)/(-28) - 13) + 260/12168?
1/13
(2/(-33) - 148162/(-18381))/(-1)
-8
((16 - 18)*(1025/50 + -19))/((-6)/128)
64
Calculate (-2 + (-63)/(-32))/(40/(-120)
|
{
"pile_set_name": "DM Mathematics"
}
|
x - 26. Let o(l) = -8*d(l) - 5*h(l). Let f be o(8). Solve 12 = 5*r - 3*t, 13 = f*r - 3*t + 1 for r.
0
Suppose -15 = -3*g - 2*g. Suppose 2*x - 3 = 3*o, 2*o = 2*x + 4 - 12. Solve -5*v + g = -2*v + w, -2*v - 3*w + x = 0 for v.
0
Let g(p) = -13*p**2 + 12*p**2 + 2*p - 2 - p - 6*p. Let v be g(-4). Solve -m + 4*o = 2*o + 6, 14 = -4*m - v*o for m.
-4
Suppose 14 = 5*u + 4. Let r(y) = -y**2 - u*y**2 + 8*y + 2*y**2. Let p be r(4). Solve 2*f + 5*l + 22 = 3*f, 3*f - 5*l = p for f.
-3
Let w(j) = -j**3 - 11*j**2 - j - 6. Let x be w(-11). Solve a + 0*d = 5*d + 14, -10 = x*d for a.
4
Suppose 2*h + 4 = 4*h. Let o(m) = m**3 + 3*m**2 - 4*m + 2. Let b be o(-4). Solve 4*q = b*l - 1 - 3, -h*l + q - 5 = 0 for l.
-4
Let f be -3 + 1 - (-3 + 5). Let u = 4 + f. Solve u = 5*r + 5*t, 0 = r + 2*r - 4*t - 7 for r.
1
Suppose 3*a = a + 32. Let j be (-2)/(1/((-2)/4)). Suppose f + j = -3*t - f, 2*t + 2 = -2*f. Solve -3*u = -3*m - 16 + t, 4*m + a = 2*u for u.
2
Suppose -5*s + 3*x + 265 = 0, -4*s - x - 4*x + 175 = 0. Solve 0 = w + i + 10, w + 5*i - 20 = -s for w.
-5
Let s = 7 - 5. Suppose -s*y + 11 = 3. Let h be (-8)/(-5)*10/y. Solve 5*q = -20, 0 = g + q + h - 0 for g.
0
Suppose -x = -4 + 2. Let w be 22/(-8) + (-2)/8. Let d = -1 - w. Solve 5*a + v - d = 4*v, -v - x = -3*a for a.
1
Suppose 2*l - 3*t - 4 = -5*t, 5*l + t - 14 = 0. Solve -3*w = 3*i, -2*i - 1 + l = 3*w for i.
-2
Let h be 12/10*20/6. Solve 14 = h*m - 2*b, 16 = 3*m - 2*b + 4 for m.
2
Suppose -4 = -0*z - 2*z. Solve 5*o = z*y + 12, 4*y - y - 5*o + 8 = 0 for y.
4
Let a(z) = z**2 - z. Let l(r) = -7*r**2 + 11*r + 3. Let n(x) = -6*a(x) - l(x). Let s be n(6). Solve 5*u = -c - 10, -c + s*u = 3*c + 17 for c.
-5
Let a be ((-138)/30 - -6) + (-4)/10. Solve 3*l - p - 2 - a = 0, -3*p - 9 = -l for l.
0
Let w(g) = -g**3 + 4*g**2 - 2*g + 12. Let a be w(4). Solve 15 = -2*c + 5*y, 3 = -y + a for c.
-5
Let m be 4 + 0 + (2 - 3). Solve -m*i + 4*f = -28, -i + 2*f + 4 = -2*i for i.
4
Suppose -4*c - 1 + 5 = 0. Let o(f) = f**3 - 2*f + 1. Let g be o(c). Solve 2*x + 3 = z, 2*x + g*z + 2*z = 12 for x.
1
Suppose 0*x + x - 4 = 0. Suppose j + x*j = 30. Let k be j/(-15) + 7/5. Solve 3*s + 6 = 0, a - 3*s + k = -s for a.
-5
Let u = -4 - -8. Let f(y) = -y**2 + 3*y - 2. Let g be f(1). Suppose u*v - 9 - 3 = g. Solve -v*a + 32 = 5*p, 24 = 3*p - p + 4*a for p.
4
Let t be -1 + 1*(-3)/(-1). Solve -p + 6*p + 14 = 3*q, -14 = 3*q + t*p for q.
-2
Let s(f) = -f + 12. Suppose -5*v + 3*k = -53, -3*k - 2*k = 5. Let z be s(v). Solve z = 5*r - 5*b + 17, 2*b + 1 = -5*r for r.
-1
Let z(v) = 5*v + 3. Let s be z(4). Let t = s - 13. Let u = -1 + 3. Solve 4*g + 5*n = -7, -8*n = -u*g - 4*n - t for g.
-3
Let t = -5 + 10. Suppose 2*y - y = -n + 9, -5*y + 5 = -t*n. Suppose -n*g = g. Solve 0*m = 5*m - 2*u + 30, g = -4*m + u - 21 for m.
-4
Let b = -5 - -4. Let k = 1 - b. Solve -2*i = -k*c + 3*i - 16, 4*c - 4*i = -20 for c.
-3
Suppose -2*g - 2*h = -6*g + 18, -g - 6 = 3*h. Solve 0 = -g*k - 3*b - 3, -5*b = -7*k + 3*k + 32 for k.
3
Let b(d) be the third derivative of d**4/24 + 2*d**3 + 3*d**2. Let a be b(-12). Solve s = 5*w, -s + w - 6*w + 10 = a for s.
5
Let p(m) = 3*m**2 + 1. Let x be (-2)/10 - (-12)/10. Let n be p(x). Solve 6*a - 2*a - 5*w = -4, 2*w + n = -4*a for a.
-1
Suppose 2*a = r - 10, 3*r = 5*a + 24 + 3. Let q be -1*5 + 3/a. Let b(c) = -c + 2. Let f be b(q). Solve 0 = -t - 3*y + f, -2*y + y = -1 for t.
5
Suppose 3 = 2*q - c, -2*q + 32 = 5*c + 11. Solve -3*t + 2*g = 0, -g + 0 - q = 0 for t.
-2
Suppose -t - 6 = t. Let p be 1/3 - 14/t. Solve -o = h + 3, -2*o + 6*o - p*h = 15 for o.
0
Let f = -29 + 32. Solve 4*a - 5*m - 19 = 0, 9 = -f*a + 3*m - 7*m for a.
1
Let q(o) = -o**2 - 7*o - 4. Let v be q(-6). Let p = -10 + 14. Suppose 2*n - p = u, -2*u = 3*n + 2*u - 6. Solve 5*m + 18 = v*w, n*w = -3*m + 1 + 1 for w.
4
Suppose 0 = -v - 0*g + g + 1, 2*v = 4*g + 2. Let r(n) = n**3 - 8*n**2 - 11*n + 20. Let h be r(9). Let k = v + h. Solve 3*q = 3*b + 3, -b - k*q = 15 - 2 for b.
-4
Let x = 1 - -2. Solve 3*c + x*v - 21 = 0, -4*c = -2*c - v + 1 for c.
2
Let w be (2/(-3))/(7/(-21)). Suppose w*f - 9 = -1. Solve -f*i + s - 5 = 0, i - 4 = -0*i + 2*s for i.
-2
Let v be (7/2)/((-3 + 4)/2). Solve 0 = -j + 2*d + 2 + v, 5*d = 4*j - 30 for j.
5
Let z(d) = -d**2 + 2*d + 2. Let x be z(0). Solve -x*s = s - 6, -3*s = a - 1 for a.
-5
Let q(o) = 2*o**2 - 4*o + 4. Let a be q(2). Solve n - a*b - 2 = -b, 4*n + 4*b + 24 = 0 for n.
-4
Let i = -8 - -11. Suppose -12 = -3*d + 9. Let b = d - 3. Solve b*c = -n + 18, -4*n - i*c + 3 = -17 for n.
2
Let j = 8 - 6. Suppose 3*i = -j*i + 545. Suppose 17 = -4*x + i. Solve 4*o + 5*h - x = 0, 3*o + h - 9 = -0*o for o.
2
Let w = 3 + 0. Suppose w*o - 3*p = 12, -6*p + 2 = -o - 3*p. Suppose -2*m = -o*m + 10. Solve -5*i + 29 = -2*k + 3*k, -2*i + 3*k - m = 0 for i.
5
Let c = 22 - 18. Solve -2*g = -4*d - 0*d + 14, 2*d = 4*g + c for g.
1
Let w = -1 + 3. Suppose 12 = -w*f + 6*f. Solve -11 = k + 5*l, f*k - 2*l + 0*l = 18 for k.
4
Let o be 6/(-21) + 60/14. Solve -5*u = -3*m + 25, 0 = -4*m + 3*u - o*u - 5 for m.
0
Let d(t) = -t**2 - 8*t - 7. Let o be d(-7). Let w = 5 + -3. Let x be 5*(2 + (-2)/w). Solve 4*m - 3*b + 17 = o, -5*m + x*b = 19 + 6 for m.
-2
Suppose -o - o + 4 = 0. Suppose o*r - 7 = l, l - 8 = 2*r + 5*l. Solve -4*x = -4*u + 12, 5*u = -r*x + 9 - 1 for u.
2
Suppose 0 = -z - 5*g + 9 + 12, 2*z = 5*g + 72. Let t(q) = -q**3 - 6*q**2 + 4. Let h be t(-6). Solve h*o + 3*v + z = 0, o - 5*v - 11 = -2*v for o.
-4
Let o = 9 - 8. Suppose o = 3*x - 5. Suppose 0*m - 8 = -4*m - 3*a, -2*m - x*a + 2 = 0. Solve 5*f - 10 = 2*v, -f + 3*v - m - 6 = 0 for f.
4
Let b be 2*((-9)/(-2) - 3). Solve -2*z - m + 0*m = 3, -3*z - b*m = 0 for z.
-3
Let n = -1 - -3. Suppose -5*y = 3*m + 25, 0 = -m + 3*m + 4*y + 20. Suppose -1 = -4*r - 4*l + 15, l - n = m. Solve 5*c + 1 = -r*q - 6, 0 = q - c - 7 for q.
4
Let b(l) = -3*l - 3. Let o be b(-3). Solve -o - 6 = 3*w - 5*g, 16 = -4*w + 2*g for w.
-4
Suppose i = 3*s - 4*i - 9, -3*i - 15 = -5*s. Solve y - 19 = s*r + 2*r, 3*r - 3*y + 21 = 0 for r.
-3
Suppose -6 - 4 = -2*w. Suppose 3*b - 6 = u, b + 3 - w = -5*u. Suppose -3*m + b + 10 = 0. Solve h + 2*t + m = 10, 0 = 3*t - 6 for h.
2
Suppose 5 = k - 0. Solve 2*c + 4*m + 14 = 0, 5*m + 10 + k = 0 for c.
-1
Let x = 2 - -1. Suppose 4*j + x - 19 = 0. Solve -2*f + 29 = 5*p, -j*f + 2*p - 1 = 1 for f.
2
Suppose 0 = 4*j - 3*j - 46. Let v = j - 30. Solve -r - 12 = 2*z, 5*r + v = z - 0*z for r.
-4
Let f = 28 - 24. Suppose 0 = 2*a - 8 - f. Solve -8 = -5*w + 2*o, -16 = -a*w + 2*w + 4*o for w.
0
Let o = -124 - -124. Solve -g = f + 7, o = -2*f - f + 3*g + 9 for f.
-2
Let o = 0 + 4. Solve 20 = -o*j + 2*v, -4*j - v - 28 = -5*v for j.
-3
Let b(r) = r**3 + 9*r**2 + 6*r - 11. Suppose -10 = -5*g + 40. Let n be (-6)/g + (-74)/10. Let l be b(n). Solve -l*v = -4*c + 19, -1 + 13 = -5*v - 3*c for v.
-3
Let t(o) = -4*o - 3. Let d be t(-3). Suppose 0 = -c - 2*c + d. Let z be (-45)/10*6/(-9). Solve -h - 4*h - 4*p = z, -h + 6 = c*p for h.
-3
Suppose g - 6 = 2. Suppose 5*h + 4*a - 12 = 0, 3*h + 3*a = -2 + g. Suppose -2 = 3*x - 5*i + 1, 0 = h*i - 12. Solve -x*b + 7*o - 3*o = 20, -4*o + 20 = 4*b for b.
0
Suppose 35 = -6*j - 1. Let r be j/(-9)*(8 + -5). Solve -3*x - 2*b - 2 = 5, -2*x = r*b + 6 for x.
-1
Suppose 4*q + 5*y - 5 = -0*q, -3 = 5*q - 3*y. Solve 3*w = -s - 2*s + 6, q = 5*w - 10 for s.
0
Suppose -2 - 2 = -2*m. Suppose 1 = -m*i + 13. Let b = i + -1. Solve -4*n + 5*z = -1, n = -3*n - z - b for n.
-1
Let t(u) = u**2 + u - 4. Let c be t(-3). Suppose -1 = -5*v + 4. Suppose 8 = 3*a - v. Solve 2*y + 6 = c*f, -y - f - f - a = 0 for y.
-3
Let j = 10 - 7. Solve v - 5 = -v - j*h, -5*v = 2*h + 15 for v.
-5
Let h = 9 - 20. Let p = h - -15. Solve 3*b - 3*q - 10 + 4 = 0, -3*b + p*q + 7 = 0 for b.
1
Suppose -3*w + 2*g + 4 = 0, 3*w + 3*g + 6 = -0. Suppose t + w*j - 5*j - 12 = 0, 12 = 3*t - 3*j. Solve -o - 6*x = -x - 21, -10 = -t*o - 2*x for o.
1
Suppose -4*v = 2*v - 30. Solve v*f = -2*j + 8, 3*f + 4*j - 3 = -1 for f.
2
Let g be (-13)/(-2) - -9*5/(-30). Solve 3*q - 3 = -2*j - 16, 0 = -g*j + 4*q + 25 for j.
1
Suppose 0 = 2*v + 4*n + 4, 3*v = -0*n - 5*n - 3. Suppose -2*s - v = -3*s. Let q be ((-22)/3)/(1/(-3)). Solve h + 5 = 0, 5*h = -5*t + s*t - q for t.
3
Suppose 0 + 6 = 2*c - 2*r, 0 = -c + 4*r + 12. Let h be 9 + c/(2/1). Let z be (-4)/((2 - 3)*1). Solve h = 3*s, 2 = z*k
|
{
"pile_set_name": "DM Mathematics"
}
|
suming i is positive.
i**(-1504/801)
Simplify (((d*d**2*d)/d)/d**(-1)*d**6/(d**(-1)*d))/((d*d/((d*d/(d/(d**(-2)*d)))/d*d))/d**(-2/11)*d**0*d**(1/9)/d) assuming d is positive.
d**(862/99)
Simplify (j**(-1))**(-19)*(j/j**1)**(5/7)*(j/j**0*j*j)**(-49)*(j/j**(-2/5))**(-7) assuming j is positive.
j**(-689/5)
Simplify ((x*x**(1/3)/x)**29*((x**(-6)/x)/x)/x**(4/3))/((x/(x/(x**1*x*x*x)))**(1/18)*(x/(x**(9/4)/x))/x*x**(-6)) assuming x is positive.
x**(265/36)
Simplify (((((d/(d*d*(((d**(-2/3)/d)/d)/d)/d*d))/d)/d)/d*d)/d)**(45/4)/(d**6/d*d*d**(-7))*((d**(-2/7))**(-2/71))**47 assuming d is positive.
d**(-4715/1988)
Simplify ((p**(-1/6)*p)**18*((p**(1/22)*p)/p*p*p*p)/((p/(p/(p**(18/5)*p)))/p))**(-36) assuming p is positive.
p**(-28602/55)
Simplify ((i**(-2))**(1/26)/(i**(2/9)/((i**(-8)*i)/i*i)))/((i**8*(i/(i/(i**(5/4)*i)))/i*i)/(i/i**(-2))**(-3/2)) assuming i is positive.
i**(-10319/468)
Simplify ((c**(-1)/c)**(-8/3))**(-2/3)/((c/(c/(c*c**(-2)))*c**(-6))/(c**2/c**(2/11))) assuming c is positive.
c**(521/99)
Simplify (y**(-11)*y**4)**(15/2)*(y**(1/4)*y**(-3/4))/(y**5*y/(y*y**(1/4))) assuming y is positive.
y**(-231/4)
Simplify ((w*w*w**(-4/5))**(-5/3)/(w**(1/6)*w**(1/11)))**(-19) assuming w is positive.
w**(2831/66)
Simplify ((((r/r**(1/3))/r)/r*r)/((r*r*r/(r/r**1)*r*r)/r*r)*((r**(1/4)*r)/r)**46)/((r**(-2/5))**(-1/25)/(r**(-2/7))**(-2/173)) assuming r is positive.
r**(5589343/908250)
Simplify (g**(-2/11))**(1/4)/(g**(6/19)/g**(-3/13)) assuming g is positive.
g**(-3217/5434)
Simplify ((o/(o**2*o))/(o/o**(1/20)))**(-9)/(((o*o*o*o**(-8)*o)/((o*o**4/o*o)/o))/(o*o**(2/7))**(-13/2)) assuming o is positive.
o**(3667/140)
Simplify (((u**(5/3)*u)/u**(-23))/((u**18/u)/u**(-13/4)))**24 assuming u is positive.
u**130
Simplify ((o*o**(-2))**(-1/9)*(o**0*o)**(-35))**(-42) assuming o is positive.
o**(4396/3)
Simplify (o/o**(2/3)*o*o/o**(2/13))**(2/127)*(o*o**(4/3)/o*o*o*o*o**(-1))**(2/3) assuming o is positive.
o**(33530/14859)
Simplify (((q**(-5)/q**(-1/5))/((q/(q*q**5*q))/(q*q**9)))**(-34))**(-10/3) assuming q is positive.
q**(3808/3)
Simplify ((r/(r**0*r))**(2/19)/(r*r*r**6/r*r**4))/((r/(r*r/(r/r**(-1/3))))**(-2/151)/(r**(-2/5)*r*r/r**4)) assuming r is positive.
r**(-30341/2265)
Simplify (c/(c*c*c**5))/(c**(2/3)*c)*((c/c**(-1/3))/c*c)**14*((c/(c/c**(1/13)))/c**(-4))/(c**(1/2)/c)**(-4/9) assuming c is positive.
c**(1738/117)
Simplify (s**(-9)/s**(-4)*(s*s**(-1/15)/s*s)/(s**(-18)*s))**(13/6) assuming s is positive.
s**(1261/45)
Simplify (d**(-26))**21/((d**(5/8)*d)/d)**(1/3) assuming d is positive.
d**(-13109/24)
Simplify (n**4*n*n**(1/7)/n)**(2/43)*n*((n*n**(2/5))/n)/n*n*n/n**(5/3)*(n*n**1*n)**(33/5) assuming n is positive.
n**(93578/4515)
Simplify (((f*f*f**(2/3)/f)/((f**(-15)*f)/f))/((f*f*f*f/f**(-5)*f)/f**(-4/5)))**(-12) assuming f is positive.
f**(-352/5)
Simplify (g/(((g**(-2/5)/g)/g*g)/g))**26/((((g*g/(((g*g*g**(-7))/g)/g))/g)/g)/(g/((g*g**0/g*g)/g)))*(g**(-1/2))**19*g**2*g*g**1*g*g assuming g is positive.
g**(789/10)
Simplify (k**(-1/2))**(-18)*k**(-1)/k*k/(k*k*(k/k**(-4/9))/k*k)*k*((k*k**(6/13))/k**(2/37))**2 assuming k is positive.
k**(36236/4329)
Simplify ((b/b**(-1))**(-47)/(b**(-3/5)/(b**(3/2)*b)))/((b**5)**(2/9))**30 assuming b is positive.
b**(-3727/30)
Simplify (v**1)**(-3/5)/(v**(-3/2)/v)**(1/48) assuming v is positive.
v**(-263/480)
Simplify (((a**(-6)*a)/a**(-3))/(a*a**6*a*(a**(-1/6)/a*a)/a*a))/(a**(-1/3)/(a/a**5))**7 assuming a is positive.
a**(-71/2)
Simplify ((f/(f*f*f**(-1/5)))**(-22))**(2/15)/((f/((f*f**(3/2))/f*f)*f*f**(-9)/f)/(((f/f**(1/2))/f)/f**(2/3))) assuming f is positive.
f**(292/25)
Simplify ((c*c*c**(-9)*c)/c**16*(c/((((c*c**1)/c)/c)/c*c))/(c*c**(1/10)))**20 assuming c is positive.
c**(-442)
Simplify (l**(-2/31)*l**(-40))/((l**(-2/3)*l)/l**25) assuming l is positive.
l**(-1432/93)
Simplify (j**2/j**(-18)*(j**(-4/25)*j*j*j)/(j/j**(-2/49)))**(3/10) assuming j is positive.
j**(40056/6125)
Simplify ((u/u**(-2/31))/u*u*u**(-5))**(1/44)*(u**2*u)**(-17)*u/(u**(-6)/u)*u/((u/(u/((u**(2/9)*u)/u)))/u) assuming u is positive.
u**(-253571/6138)
Simplify (u**(1/2)*u*u**(-6)*(u**(-1)*u)/u*u*u**(-2)*u)/((u**(-1/3)/u*u*u)/(u/((u**(-1/5)/u)/u)*u)*(u/u**4)/(u/(u*u*u**(-1/4)*u*u))) assuming u is positive.
u**(-103/60)
Simplify ((s*s/((s/((s/(s*s**(1/24)))/s))/s)*s*s**(-4))/(s**(-2/3)*s/(s/(s/s**(-14)))))**(-1/6) assuming s is positive.
s**(131/48)
Simplify ((l**(-2)/l)/(l/l**(-7)))**(-2/107)*((l*l**1)**(-42))**(-4/5) assuming l is positive.
l**(36062/535)
Simplify n**(-1/11)/n**(-2)*n*n**(8/3)*n**(-1/2)*(n**(2/7)/n**(2/17))/((n*n/n**(-2/3))/n**(-7)) assuming n is positive.
n**(-11579/2618)
Simplify ((b**(-1/12)*b)**(-2/23)*(b*b**(-21))/(((b/b**(4/3))/b)/b))**(2/11) assuming b is positive.
b**(-2449/759)
Simplify b**(-3/7)/b**(-2/9)*(b/b**(-1)*b*b)**(-43)*(b/(b*b**(-3))*b**8)**(-39) assuming b is positive.
b**(-37876/63)
Simplify (((t**1)**(-5)/(t**1)**12)**(-4/23))**(-46) assuming t is positive.
t**(-136)
Simplify (((r/r**1*r)/r)**(-10/7)*(r**(-1))**(-2/33))/((r**(2/5))**(7/2)/(r**(-2/3))**(-41)) assuming r is positive.
r**(4289/165)
Simplify (((t**5/t)/t*t**(-5/3))/(t**(1/4)/t**2))/(t**(-4)/t**(-1)*t**4*(t*t**4)/t) assuming t is positive.
t**(-23/12)
Simplify (((c*c**1*c)/c*c**(-1))**(-4/13))**(-2/63) assuming c is positive.
c**(8/819)
Simplify ((v/((v/(v*v/(v*v**(1/6))))/v*v))/((((v*(v**37/v*v)/v)/v)/v)/v))/(v*v**(-1)*v*((v*v/(v**(-5)/v))/v*v)/v) assuming v is positive.
v**(-247/6)
Simplify ((g/(g**4/g)*g*g*g*(((g**8*g)/g)/g*g)/g)/(g**(-1)/(g/g**(-1)*g)))**(14/5) assuming g is positive.
g**(168/5)
Simplify ((((k**(-6)/k)/k)/k)/(k*k**20/k*k*k))/(k**(-2/27)*k*k**(-41)*k) assuming k is positive.
k**(218/27)
Simplify (((((z*z**(-1/21))/z)/z)/z**(3/2))/(z**(-1))**(-4/3))**(3/7) assuming z is positive.
z**(-163/98)
Simplify ((w**0/(w**(-1/2)*w))/(w**2/(w*w**5)))/((w*(w/((w**(-2/7)/w*w)/w))/w)**(-5/6)*(w/w**0)/w**(-1/2)) assuming w is positive.
w**(82/21)
Simplify (((a**1*a)**(-2/111)*(a*a*a/(a/(a**(-3/2)*a)*a))/((a**(-6)*a)/a))**(2/7))**(4/7) assuming a is positive.
a**(820/777)
Simplify (((a/((a**(22/5)/a)/a))/(a/a**(-9)))**(19/4))**(-3/11) assuming a is positive.
a**(3249/220)
Simplify (a**(-1))**48/(a**0)**(-40)*(a**(2/5))**(-18)/(a**(2/7))**(9/13) assuming a is positive.
a**(-25206/455)
Simplify (((a/a**(-15))/(a/a**(-5)))/((a**16*a*a*a)/(a/a**(-21))))**19 assuming a is positive.
a**247
Simplify (((j**(1/4)/(j/(j**(6/5)*j*j)))/(j*j/(j**(1/5)/j))**(-49))**(-14/9))**(-7/11) assuming j is positive.
j**(45619/330)
Simplify (((k**(-2/21)*k)**(-46))**(5/9))**(-32) assuming k is positive.
k**(139840/189)
Simplify ((o**(1/8)/o)/o**(4/5))/(((o*o**(-3))/o)/o**(-2/13))*((o**(-2/3))**(-11))**32 assuming o is positive.
o**(367907/1560)
Simplify q/(q*q**(-36/7))*q*q*q**8*q*q/(q/q**(-6/25))*q**(1/2) assuming q is positive.
q**(5741/350)
Simplify (c*c*c**(2/5)*c**(-3)*(c*(c*c*c*(c/(c**(-4)*c))/c*c*c)/c)/((c/(c*c**(-2)))/c))/(c**0/(c/c**4))**(24/5) assuming c is positive.
c**(-8)
Simplify (((m**(-3/2)/m**(-29))**29)**(-2/9))**(-1/3) assuming m is positive.
m**(1595/27)
Simplify ((((k*k**(-3/4))/k)/k)/(k/(k/k**0)*k))/(k**(-2/3))**(-9)*(k**3/(k**(-5)*k*k))**(-11) assuming k is positive.
k**(-299/4)
Simplify (j**(-2/3)*j*j**(-2)*(j/((j**(-17)*j)/j))/j**6)**27 assuming j is positive.
j**279
Simplify ((u/(u/((u*u/(u**6*u))/u)*u)*u**8/u)/((u/((u*u**(1/8))/u))/(u*u/(u*u*u**(-7/5)))))/(u**(-4/3)/((u**2/u)/u)*(u**(-1/4))**22) assuming u is positive.
u**(883/120)
Simplify ((y**(-33)*y)/y*y**(6/5)*y**(-2/107)/((y**(2/27)*y)/y))**2 assuming y is positive.
y**(-921382/14445)
Simplify ((s*s*s*s**(-29))/(s*s**(-5))*(s*(s**3/s)/s)/(s/(s*s/((s*(s*s**(8/3)/s)/s*s)/s))))**(3/10) assuming s is positive.
s**(-13/2)
Simplify ((u**4*u)/((((u/(u**(1/8)/u))/u)/u)/u))/(u*u**(1/3)*u)**(-31)*(u**(-1))**(3/37)/(u/(u*u/u**(-2/5))*(u*u**(-1/3))/u) assuming u is positive.
u**(355691/4440)
Simplify (q**(-2/5)*q*q*(q**(-13)*q*q*q*q)/q)**(-3/11)*((q*q**3)**6)**(2/77) assuming q is positive.
q**(102/35)
Simplify ((((x/(x*x/((x**(-2)*x)/x)*x))/(x**6*x))**(-3/25))**(5/2))**22 assuming x is positive.
x**(363/5)
Simplify ((v**(-5)/v**(-2/21))/((v/(v**7/v))/(v/((v*v**1)/v))))**28 assuming v is positive.
v**(8/3)
Simplify ((c*c*c/(c*(c*c**(-6)*c)/c))/(c**(-2)*c)*c**(2/33)*c/(c/c**6))**(9/10) assuming c is posi
|
{
"pile_set_name": "DM Mathematics"
}
|
42)
Simplify ((v*v**2)/v)**21*(v**(2/3))**(-33/4) assuming v is positive.
v**(73/2)
Simplify ((j**6*j*j*j*j*j**(-3))/(j*j**(-1))**(2/55))**(7/4) assuming j is positive.
j**(49/4)
Simplify (f*(f*f**(-3)/f*f*f)/f*f*f*f)**(-4/7)*(f**(-2))**(-7/8) assuming f is positive.
f**(17/28)
Simplify (t**15*t*t**(2/13)/t)**(-2/47) assuming t is positive.
t**(-394/611)
Simplify (f/f**3)**(1/27)/(f/(f/(f*f/f**(1/2))))**(-4/37) assuming f is positive.
f**(88/999)
Simplify (d/(d/(((d*d/(d*d**6*d))/d)/d))*d**8)/((d**(-4/9)/d)/d*d*d/(d**(-37)*d)) assuming d is positive.
d**(-320/9)
Simplify (t**(-3/11)/(t*t**(-1/11)))/((t*t/(t**(11/4)*t)*t)/(t**(-2/31)*t)) assuming t is positive.
t**(687/1364)
Simplify ((s/(s*((s/(s/s**14*s))/s*s)/s))**(-13))**(5/14) assuming s is positive.
s**(390/7)
Simplify ((x*x**(-1))**(-1/17)*x/x**(1/8)*x*x/x**(2/9))**(-40) assuming x is positive.
x**(-955/9)
Simplify (s**(1/51)/(s**(-29)*s))/(s**(-4/13)/s*s**(2/17)) assuming s is positive.
s**(19366/663)
Simplify ((k**(2/3)/(k/(((k*k**(-10))/k)/k)))/(k*k**(2/27)*k**(-7/5)))**(2/9) assuming k is positive.
k**(-2972/1215)
Simplify h**(-1/34)*h**24*h*h*h**(-2/29)*h*h*h/h**(-2/59) assuming h is positive.
h**(1683295/58174)
Simplify ((o**(9/5)*o**(-18))**(-2/21))**(-9/7) assuming o is positive.
o**(-486/245)
Simplify g**12/(g/g**(-2/9))*(g/g**(5/8))/g**(4/13) assuming g is positive.
g**(10151/936)
Simplify (((p*p**(-5))/(p/(p**(1/6)/p*p*p*p)*p))/((p*((p*((p*((p*p/(((p/(p*p**(-8)))/p)/p)*p)/p)/p)/p)/p)/p)/p)/p*p/p**(-4)))**18 assuming p is positive.
p**(-33)
Simplify i**39*i*i**(-40)/i*(((i**(-2/47)*i)/i)/i)**38 assuming i is positive.
i**(-1909/47)
Simplify (a**(-6)/(a*(a**37/a)/a*a))/(a**0*a*a/(a/(a/a**(-37)))) assuming a is positive.
a**(-82)
Simplify ((u*u**5*u)/(u/(u*(u**(-2)/u)/u)))/((u*(u*u/(u**(-5)/u))/u*u)/(((u/(u/(u*u**(-2/31)))*u)/u)/u)) assuming u is positive.
u**(-188/31)
Simplify ((y/y**(2/11))/y*y**3*y*((y/(y*y/y**(-3/8)))/y)/(y*y**(2/5)))**(-16/7) assuming y is positive.
y**(-38/385)
Simplify b/(b**(-2/7)*b)*b**(3/7)*(b**(-3))**(2/9) assuming b is positive.
b**(1/21)
Simplify ((d*d**(-11))/d*d/(d*d*d**(-7)*d*d))/(d/d**(2/9)*d*(d/(d**8/d*d))/d*d*d) assuming d is positive.
d**(-25/9)
Simplify c**(-2/23)/(c*c/(c**9*c*c)*c)*((c*c*c*c**(-3))/c)**(8/7) assuming c is positive.
c**(1090/161)
Simplify (r/(r/(r/(r**(8/5)/r*r))*r))/r**(2/3)*r*r**(-2/5)*r*r**(-7/5) assuming r is positive.
r**(-31/15)
Simplify y**9/y**(-2/7)*y**(-5)*y**(3/13)/y assuming y is positive.
y**(320/91)
Simplify (d*d**3*d/(d/(d**(-1/19)*d))*d)/(d**(13/5)/(d*d**12/d)) assuming d is positive.
d**(1458/95)
Simplify (q/(q/(q*q**(4/7))))/q**(3/4)*(q*q/(q**(1/3)*q))**(-2/69) assuming q is positive.
q**(4649/5796)
Simplify ((s/(s**29*s))**(-48))**(1/9) assuming s is positive.
s**(464/3)
Simplify (r**(-3/2)/(r/((r*r*r**(3/2)*r*r)/r)))/(r**(1/6)*r**8) assuming r is positive.
r**(-37/6)
Simplify ((j/(j**(-10/7)*j))/(j*j**(-7)))/((j**(-4)/j)/j**(2/47)) assuming j is positive.
j**(4103/329)
Simplify (i**(-26)/(i*i*i**(-3/4)*i))/(i/(i**11*i))**29 assuming i is positive.
i**(1163/4)
Simplify ((((s/(s**(-3)*s)*s)/s)/((s*s**(3/8))/s))/((s/s**2*s*s)/s*(((s*s**5)/s)/s)/s))**0 assuming s is positive.
1
Simplify (p/p**(-22))**(-16)*p**(-15)/p*((p*p**25)/p*p)/p assuming p is positive.
p**(-359)
Simplify (u**(-5))**1*u**(-24)*(((u/u**(3/2))/u)/u)/u assuming u is positive.
u**(-65/2)
Simplify (u*(u*u**18)/u*u*u)**(-2/15)*(((u/(u/(u/(u**(-3)*u)*u)))/u)/u)/u*u/((u**27*u)/u*u) assuming u is positive.
u**(-144/5)
Simplify o/(o/(o/(((o*o**14)/o*o)/o)*o))*o**(4/11)*o**(2/39)/(o*o/(o/((o**(-1/3)/o)/o))) assuming o is positive.
o**(-1466/143)
Simplify (i**(1/2)*i)**(-29)/((i/(i**8/i*i))/i**(-18/7)) assuming i is positive.
i**(-547/14)
Simplify (q**(3/16)*q)**(-44)*(q*(q**(-27)/q)/q*q)/q*q/(q*q**(-27))*q assuming q is positive.
q**(-209/4)
Simplify (f**(3/5)*((f*(f/((f*f**(7/6))/f))/f)/f)/f*f*f*f*f)/(f**(-2/9))**(-1/6) assuming f is positive.
f**(647/270)
Simplify (q/q**7*q*q**(-11))**11 assuming q is positive.
q**(-176)
Simplify (j**5)**(14/15)*j**(2/27)/((j/j**1)/j) assuming j is positive.
j**(155/27)
Simplify (j**33*j/j**28)/((j*j**(2/9)*j)/(j/((j*((j/j**16)/j)/j)/j))) assuming j is positive.
j**(196/9)
Simplify ((j/((j*j*j/(j**(-4/7)*j*j))/j)*j)/(j*j**(-1)/j))/((((j**(-8)*j)/j)/j)/j*j*j*(j/(j**(-2/55)*j))/j*j*j) assuming j is positive.
j**(3616/385)
Simplify (r/r**15*r*r**(2/35))**(4/7) assuming r is positive.
r**(-1812/245)
Simplify ((c**(-1/2)*c)**(-6/13)/(c**(1/3))**(10/13))**(-9/5) assuming c is positive.
c**(57/65)
Simplify ((h**(-3/5)/h)/(h/(h*h*h**(3/5)*h*h))*(h/((h/(h**(-8/5)*h))/h))/(h/h**(-2/31)))**(-14) assuming h is positive.
h**(-2898/155)
Simplify (h*(h/(h/(h/h**(-5))*h))/h)**50/(h/(h**7/h*h))**(-2/15) assuming h is positive.
h**(1246/5)
Simplify j**(-2/41)*j/(((j/(j*j**(3/5)))/j)/j*j)*j**(-2/77)/j*(j/(j/(j*j**(1/8))*j)*j)/j assuming j is positive.
j**(208393/126280)
Simplify (((j/j**(-4/17))/j)**(-16/3))**(-13) assuming j is positive.
j**(832/51)
Simplify q*q**(2/9)*q*q**(1/8)*(q**29/q)/q**14 assuming q is positive.
q**(1177/72)
Simplify (o**5*o**(1/31))**(-2/129) assuming o is positive.
o**(-104/1333)
Simplify ((y**(1/5)*y*y)**12*(y/y**(-2/13))/(y**4*y))**(-10) assuming y is positive.
y**(-2932/13)
Simplify ((r**11)**(9/7))**37 assuming r is positive.
r**(3663/7)
Simplify ((x**(-1/4))**44*(x*x*x**1)**(-1))**45 assuming x is positive.
x**(-630)
Simplify (r**(-7))**36/(r*r**(-3)/r)**(-40) assuming r is positive.
r**(-372)
Simplify (g/(g*g**(-4/3)*g*g)*g**(3/2)*g*g)/((g/g**(-14))/(g**(-6/7)/g)) assuming g is positive.
g**(-589/42)
Simplify ((a/(a*a/((a*a**(-2/5))/a))*a*a**(3/4))**(-33))**(-3/5) assuming a is positive.
a**(693/100)
Simplify (((g**(-2/13)/g)/g)/(g*g*g**(-2)))/(g/g**6*g/g**(4/19)) assuming g is positive.
g**(508/247)
Simplify (((u*u**1*u)**(-34))**(1/9))**(-11) assuming u is positive.
u**(374/3)
Simplify ((f**(-14/3))**(-6))**(1/2) assuming f is positive.
f**14
Simplify (d**(1/5))**(-14)*(d/((d/d**(-4/3))/d))/(d/(d*d**9)) assuming d is positive.
d**(88/15)
Simplify ((d*d**18)/(d/((d/(d*d/(d*d*d*d**0)))/d)))/(d**(-1)*d**12) assuming d is positive.
d**8
Simplify u**11*u*u/u**(-26)*(u*u**(-15/4))/u*u**(1/19) assuming u is positive.
u**(2683/76)
Simplify (i**(2/5))**(-2/55)*i**16/i**(-12) assuming i is positive.
i**(7696/275)
Simplify (n**(-5/3)*n)**(-20)/(n/(n/(n/(n**(-2/21)*n*n)))*n*n*(n/n**(6/5))/n) assuming n is positive.
n**(1411/105)
Simplify (m**(2/13)/m)**(-2)/(m**(-13/5)/(m*m*m**(-4)*m*m)) assuming m is positive.
m**(279/65)
Simplify (z*z*z**7*z*z)**35/((z*z**(-1/8))/z**(2/33)) assuming z is positive.
z**(101425/264)
Simplify (((o*o/o**(2/31))/o)/(o*(o/(((o/(o**28*o))/o)/o))/o))/(o**(1/9)*o)**(-15/8) assuming o is positive.
o**(-10409/372)
Simplify ((s/(s/(s*(((s/((s*s**2*s)/s))/s)/s*s)/s)))/s**(3/5)*s/(s*s**(4/3)/s)*s*(s*s**(2/17)*s)/s)**(-32) assuming s is positive.
s**(14816/255)
Simplify (q*q**(4/13)*q**17)/((q**(3/7)*q)/q*q)**45 assuming q is positive.
q**(-4184/91)
Simplify ((q**(-4)*q)/q**(-5))/(q**(-1/6)/(q/((q**(2/27)/q)/q))) assuming q is positive.
q**(275/54)
Simplify (v/(v*v*v*(v*v/(v*v**22))/v*v)*v/(v/(v**(1/4)/v*v)))**(-8/11) assuming v is positive.
v**(-14)
Simplify (x**(-1/8))**(-46)/((x/(x**(3/8)/x))/x*x/(x*x*x**(-6)*x)) assuming x is positive.
x**(9/8)
Simplify (t/((t*((t/(t/t**(-3/5)*t))/t)/t*t)/t)*t**0)/((t*(t*t*t*t**(1/2))/t*t*t*t)/(t/t**(-2/17)*t)) assuming t is positive.
t**(-133/170)
Simplify (a*a**(-23))/a**(9/4)*(a**(-2))**48 assuming a is positive.
a**(-481/4)
Simplify (b/b**(-12))/b*b**(-10)*b*b**(2/19)/b*b*(b/b**(-2/5))/b assuming b is positive.
b**(333/95)
Simplify (((((b/(b*b**(-2/11)))/b)/b)/b**(-6))/((b*b*b**3)/b**0))**(2/57) assuming b is positive.
b**(-6/209)
Simplify (z*z/z**(-3/4)*z)/(z**(-5)*z)*(z/(z**(-1/35)*z))/((z/(z/z**(-32)))/z) assuming z is positive.
z**(5709/140)
Simplify (q**(-11)/((q/(q/(q*q**(3/2)*q))*q)/q))/((q/(q**2/q))/q)**(-38) assuming q is positive.
q**(-105/2)
Simplify (y**(-4)*y**(6/5))/(y**(-12)*y*y**(-1/12)*y*y) assuming y is positive.
y**(377/60)
Simplify ((p**(-11/4)*p)/((p*p**(-6/7))/p*p))**16 assuming p is positive.
p**(-212/7)
Simplify (((u*u/(u*u**(-13)/u)*u*u)/u)/u)/(u**(-2/7)/u*u)*(u**(2/7))**(-1/53) assuming u is positive.
u**(5669/371)
Sim
|
{
"pile_set_name": "DM Mathematics"
}
|
) + sqrt(117) - -2*sqrt(117)*1)/(((sqrt(81) - (sqrt(81) - sqrt(81)*2))*-5 - sqrt(81) - sqrt(81))/(sqrt(9) + -2*sqrt(1296))).
-23*sqrt(13)/6
Simplify ((sqrt(70) + -5*sqrt(70))*3 - sqrt(70)*3*5)/(((sqrt(240)/sqrt(4))/sqrt(3))/(3*-2*sqrt(2))).
162*sqrt(7)
Simplify (1 + sqrt(14)/sqrt(2) - sqrt(7) - (2 + sqrt(7))*3)**2 + 2 + (2*sqrt(28)/sqrt(2))/(sqrt(2) - sqrt(160)/sqrt(5)).
88*sqrt(7)/3 + 90
Simplify (-3*(sqrt(1088) - (sqrt(1088) - (sqrt(1088) + sqrt(1088)*-1)))**2*5 + 6*-2*(sqrt(1088)*-1)**2 + -5)*-4*-5.
-261220
Simplify (5*(sqrt(77) - (3*sqrt(77) - sqrt(77) - sqrt(77)))*2*-1)/((-1*sqrt(99)*-3 + sqrt(99))/(sqrt(9) - sqrt(27)/(sqrt(3) - (sqrt(3) - -1*sqrt(3))))).
0
Simplify (-5 + 2*(1 + (sqrt(108) - (sqrt(108)*1 + -5)))*4 + 2 + -3)**2.
1764
Simplify (-1*((-1*sqrt(130)*6 + sqrt(130) - sqrt(130)) + sqrt(130))*-4)/((sqrt(360)*-1 - sqrt(20)/(1*sqrt(2)))*-5).
-4*sqrt(13)/7
Simplify (1 + sqrt(125) + -3 + 1 + 5)**2 + (5 + sqrt(720) + sqrt(720) + 2 + sqrt(720) + (sqrt(5) - (-1 + sqrt(5))*-2))**2.
430*sqrt(5) + 7771
Simplify (3*(4 + (((3*sqrt(189) - sqrt(189)) + sqrt(189))/sqrt(3) - sqrt(63)))**2 - (3*sqrt(567)*2 - (sqrt(567)*-2 + 3))) + -3.
72*sqrt(7) + 804
Simplify (-5 + (sqrt(612) - (sqrt(612) - (sqrt(612) + 2 + sqrt(612)))*4)*6 - (5 + 5*(-2 + sqrt(68)/(sqrt(20)/sqrt(5)))))**2.
16800*sqrt(17) + 522929
Simplify 3*(-5 + (sqrt(11) - sqrt(1100)*-2)*-3 - -4*sqrt(33)/(-5*(sqrt(12)/sqrt(4) + sqrt(3)))).
-951*sqrt(11)/5 - 15
Simplify -2*(1 + sqrt(1584))*2 + 0 + -3*(2 + sqrt(1584) + sqrt(1584))**2 + 2*sqrt(1584) + 5.
-19019 - 312*sqrt(11)
Simplify (-5*(sqrt(171) + -1 + -3) - (2 + -2*(-5 + sqrt(684) + sqrt(684)))**2) + 1.
-11067 + 561*sqrt(19)
Simplify (-1*sqrt(275)/(sqrt(11) - (sqrt(110)*-2)/sqrt(10)))/(((1*sqrt(300))/sqrt(5))/(sqrt(588)*-2 + sqrt(588))).
7*sqrt(5)/3
Simplify (sqrt(1377) + sqrt(1377) + (-4 + sqrt(1377)*-2)**2)*2 - (-4 + sqrt(153) - ((sqrt(204)*3)/sqrt(12))**2).
321*sqrt(17) + 11205
Simplify (-5*-6*sqrt(68)*1*3)/(-5*2*2*sqrt(196)).
-9*sqrt(17)/14
Simplify (4*(-1 + (-4 + 1*sqrt(117) - sqrt(117)) + sqrt(117))**2 + -5*((sqrt(117) - (-1 + sqrt(117))*4) + sqrt(117) + sqrt(117) + 0))*-1.
-548 + 105*sqrt(13)
Simplify (-4 + 1*sqrt(468))*-1 - (6*sqrt(39)/sqrt(3)*-5*-6)**2.
-421196 - 6*sqrt(13)
Simplify (-2 + (2 + sqrt(637) + -1 - (2 + 0 + sqrt(637))))**2 + -1*((sqrt(1053) + -5 + (sqrt(1053)*-1 - sqrt(1053)))*-6)**2.
-38799 - 3240*sqrt(13)
Simplify -1*(-4 + 5*(sqrt(5) - 1*sqrt(80))**2) - (sqrt(30)/sqrt(6) + -4 + sqrt(540)/sqrt(3) + -3).
-214 - 7*sqrt(5)
Simplify -5 + ((-3 + (-1*sqrt(275))**2 + sqrt(275) - sqrt(275)) + ((1*sqrt(275))**2 - sqrt(275)) + 5 - (-3 + sqrt(275))*4*-1).
15*sqrt(11) + 535
Simplify 0 + (-1 + (sqrt(500) - sqrt(5)))**2 + sqrt(60)/sqrt(3) + 5 + -3.
-16*sqrt(5) + 408
Simplify (-6*((-5 + sqrt(80)*2 + sqrt(80))*-4*-2 + 4*(-5 + sqrt(80) + 2*sqrt(80) + 4)))**2.
-456192*sqrt(5) + 3802176
Simplify (5*(sqrt(245)/(sqrt(21)/sqrt(3)) + (sqrt(140) - 2*sqrt(140))))/(4*(1*sqrt(1008) - sqrt(1008) - sqrt(1008)) - sqrt(1008)*2*6).
5*sqrt(5)/192
Simplify -2 + ((sqrt(1100) + 0)**2*-5 + sqrt(1100) - (-2 + sqrt(1100)*2)) + -1 + 1.
-5500 - 10*sqrt(11)
Simplify -1*((2*sqrt(104))/sqrt(8) + sqrt(143)/(sqrt(11)*-2)) - (sqrt(78)/(-5*sqrt(6)) + sqrt(13) + sqrt(13) + (sqrt(13) + 4)**2*2).
-193*sqrt(13)/10 - 58
Simplify (-4*(sqrt(132) - sqrt(132)*-3))/(sqrt(12) + 6*(sqrt(12)*-1 + sqrt(12))) + (-4 + (sqrt(891) + -3*(sqrt(891) + 2) - sqrt(891)) + 5)**2.
254*sqrt(11) + 8044
Simplify (sqrt(285)/(sqrt(25)/sqrt(5)) + sqrt(1425)*1)/(((-2*sqrt(270) - sqrt(270))/sqrt(10))/(sqrt(225)*-1)).
10*sqrt(19)
Simplify (sqrt(68)*1*-5 + (sqrt(68) - sqrt(68)*-5)*-6)**2 + -4 + 3 + (2*sqrt(68) + sqrt(68) + sqrt(68))**2 + -3.
115392
Simplify (-1*-6*(sqrt(24) - -1*sqrt(24))*4)/(((sqrt(88)*2 + sqrt(88))*-4)/(-1*sqrt(33)/sqrt(3))).
4*sqrt(3)
Simplify (5*(1 + ((2*sqrt(170))/sqrt(10) + sqrt(187)/(sqrt(77)/sqrt(7)) - (-5*(-1*sqrt(187) - sqrt(187)))/(1*sqrt(22)/sqrt(2)))))**2.
-350*sqrt(17) + 20850
Simplify (4*(0 + sqrt(448))*6 + 1 + 1 + (sqrt(448) - sqrt(448)*-2) + -2)**2.
326592
Simplify (2*(sqrt(95)*-2*-3 + sqrt(95) - sqrt(95) - (sqrt(95) + sqrt(95)*-2 + sqrt(95))*-2))/((2*sqrt(405) - sqrt(405))*-6*2).
-sqrt(19)/9
Simplify (-6*(sqrt(204)*3 + sqrt(204)) + sqrt(204) + -5*sqrt(204)*3)/(sqrt(432) + (sqrt(432) - 2*sqrt(432)) + sqrt(432) + (1*sqrt(48))/sqrt(4)).
-38*sqrt(17)/7
Simplify 5 + (4*(sqrt(66) - (-1*sqrt(66)*1 + sqrt(66)))*-4)/((sqrt(864) - sqrt(864)*-2)*-3 - (sqrt(864) - -1*sqrt(864)*-5)).
4*sqrt(11)/15 + 5
Simplify -2 + -3*(-2*1*sqrt(153)*-6)/(sqrt(9) + sqrt(36)/sqrt(64) + -4*(1*sqrt(9) - sqrt(9))).
-144*sqrt(17)/5 - 2
Simplify 1*(1*(sqrt(2448) - (sqrt(2448) + 2*(-2 + sqrt(2448) - sqrt(2448))))*-1*4*3)**2.
2304
Simplify 2*(2*((0 + sqrt(1573) - sqrt(1573)) + -4) + -4)*5.
-120
Simplify sqrt(38)/((sqrt(2) + sqrt(2)*-2)*-4)*5 + -3 - (-1*sqrt(76)*-2)/(4*sqrt(100)).
-3 + 23*sqrt(19)/20
Simplify -1 + 4*((sqrt(10) + (sqrt(20) + sqrt(500))/sqrt(2))*-2)/(sqrt(12)/(sqrt(42)/(sqrt(42)/sqrt(6)))).
-56*sqrt(5) - 1
Simplify 3*(sqrt(275) + (sqrt(275) + 2)*-2)**2 - -2*(((2*sqrt(11)*5 - sqrt(11)) + sqrt(11) - sqrt(11))**2 - (sqrt(11) - sqrt(132)/sqrt(48))).
119*sqrt(11) + 2655
Simplify (3*(0 + sqrt(1100))*1*-4 - (5 + (sqrt(176) - 6*(sqrt(176) - (-1 + sqrt(176)) - sqrt(176))))*-3)**2.
216*sqrt(11) + 14265
Simplify (((sqrt(425)*-2 + 3)*-1 - 5*(-1 + (sqrt(17) - sqrt(51)/(sqrt(12)/sqrt(4))) + sqrt(17)))*-6)**2.
720*sqrt(17) + 15444
Simplify (((-3*sqrt(170)*-3 - sqrt(170)) + sqrt(170) - -6*sqrt(170)*-1)/(-5*sqrt(50)/(sqrt(55)/(sqrt(99) - sqrt(11) - sqrt(11)))))**2.
153/25
Simplify (-1*(sqrt(153) - -1*sqrt(153)*3 - sqrt(153))*1)/((sqrt(9) - (sqrt(9) - -4*sqrt(900))) + ((sqrt(9) + sqrt(9)*5)*5 - sqrt(9))).
3*sqrt(17)/11
Simplify ((5 + (-1*sqrt(833) + 2 - -1*sqrt(833)*-3) + 1*(5 + 5*(sqrt(833) - (0 + sqrt(833)))))*-3)**2.
-6048*sqrt(17) + 121248
Simplify ((sqrt(600)*1*6 + sqrt(600)*-2*2)/((sqrt(36) - (sqrt(1296) + (sqrt(1296) - sqrt(1296)*-1)))/sqrt(3)))**2 + 5.
1645/289
Simplify (-2 + sqrt(130)/((-3*sqrt(110))/sqrt(11)))**2 + 2 + (6*sqrt(130)/sqrt(5))/sqrt(2).
67/9 + 22*sqrt(13)/3
Simplify ((-2*sqrt(180) - sqrt(180))/sqrt(10) - sqrt(18))/(1*sqrt(54)) + (-2*(sqrt(297)*1)/sqrt(11))**2.
-4*sqrt(3)/3 + 108
Simplify ((sqrt(245) + -2 + -4 - (sqrt(245) - -3*(sqrt(245) + 2))) + 1 - (2*sqrt(245)*-1 + -2 + sqrt(245) + 5)*-3)**2.
168*sqrt(5) + 8824
Simplify 3 + (2 + 1*sqrt(3388) + 0 + -3 + -3)*-3 + -1.
-66*sqrt(7) + 14
Simplify -2*(1 + sqrt(512) + -1 - sqrt(512))*6*4*4.
0
Simplify (4*((sqrt(80) - (0 + sqrt(80))) + -1) - sqrt(80)*1*-3*3)**2*5*4.
-5760*sqrt(5) + 129920
Simplify 5 + ((2 + (sqrt(275) - (1 + sqrt(275) + -2) - (sqrt(275) + (sqrt(275) + 1 - sqrt(275)) + sqrt(275))*4) + -5 + -2)*-5)**2.
16000*sqrt(11) + 441605
Simplify -2 + 4 + sqrt(6)/(sqrt(242)*2) + ((-1 + sqrt(432) + -3)**2 - (sqrt(432) - (-6*sqrt(432)*3)**2)).
-2375*sqrt(3)/22 + 140418
Simplify -2*(((-4 + sqrt(720))*-6)**2 + sqrt(720)) + -4 - ((-2*(sqrt(720) + -1 + 4))**2 + -4).
-55908 + 6600*sqrt(5)
Simplify 1*(-5 + (sqrt(11)*3)**2 - sqrt(11))*-1 + (sqrt(88)/(sqrt(56)/sqrt(7)))**2 + (sqrt(825) - sqrt(33))/sqrt(3) + sqrt(11).
-83 + 6*sqrt(11)
Simplify -3 + (5 + -5*((3*(sqrt(2) - (-2*sqrt(2) - sqrt(2))) - sqrt(2)) + -5 + sqrt(8)) + 2)**2 + 2.
-4160*sqrt(2) + 9473
Simplify -4 + (-1 + -3*(-3 + sqrt(931) + sqrt(931)) + 1*sqrt(931)*2 + (sqrt(931) + (sqrt(931) - ((-2*sqrt(931) - sqrt(931)) + 4)) - sqrt(931)))**2 + -5.
7
Simplify -2*(sqrt(475) + 0 + -2 + sqrt(475)) - (-4 + (sqrt(19) - (-2*sqrt(171))**2) + sqrt(19) + 1 + sqrt(1900)).
-32*sqrt(19) + 691
Simplify ((-2*sqrt(240))/(sqrt(5) + sqrt(25)/sqrt(5)*5) - (2*3*sqrt(243) - ((sqrt(243) + -1)*-1 + sqrt(243) - sqrt(243))))**2.
-386*sqrt(3)/3 + 37252/3
Simplify ((6*-2*sqrt(95) - sqrt(95) - sqrt(95))/sqrt(5) + -3 + 3 + (sqrt(228)*2)/sqrt(12) + (sqrt(19) - (4 + sqrt(38)/sqrt(2))))*-1.
4 + 12*sqrt(19)
Simplify (1*2*-5*sqrt(66)*3)/((sqrt(120)*4 - sqrt(30))/(sqrt(180)*-2)).
360*sqrt(11)/7
Simplify 4 + ((-6*-2*sqrt(2))**2 + -6*2*sqrt(2) - sqrt(18)/((sqrt(81) + sqrt(81)*3)/sqrt(9))) + 5.
-49*sqrt(2)/4 + 297
Simplify ((1*sqrt(85)*4 + sqrt(85) + (sqrt(85) - (-5*-1*sqrt(85) - sqrt(85))) + sqrt(85))*-3)/(5*(1*sqrt(5)*-2 + (-2*sqrt(20) + sqrt(20))/sqrt(4))).
3*sqrt(17)/5
Simplify ((sqrt(91) - 5*-2*sqrt(91) - (-3*(sqrt(91) - s
|
{
"pile_set_name": "DM Mathematics"
}
|
be ((-1)/(-10))/(3/6). Which is the third smallest value? (a) -5 (b) 6/5 (c) y
b
Let v = 1 - -13. Which is the smallest value? (a) v (b) -1 (c) 4/3
b
Suppose -2*k - 6 = -3*g, -2*k - 15 = 3*k. Suppose -2*x + 2*t + 7 = t, 5*x - 3*t - 17 = 0. Which is the second biggest value? (a) -5 (b) g (c) x
b
Let l(j) = -j**2 + 3*j - 1. Let f be l(3). Suppose 0*x + 2*x = 0. What is the second smallest value in 3/5, x, f?
x
Let h be (-10)/15 + 1/(-3). Let t = 3.1 + -3. Let p = -0.4 - t. What is the biggest value in p, 0.2, h?
0.2
Let f = 6.87 - 1.17. Let h = f + -6. What is the second biggest value in -0.2, h, 1/4?
-0.2
Let s = -0.08 - 0.92. What is the second biggest value in 0.1, s, 0.6?
0.1
Let m = -41.5 - -28. Let u = m + 14. Which is the second biggest value? (a) -0.1 (b) u (c) -3/5
a
Let m = -0.57 + 0.87. What is the biggest value in m, 1.1, -0.5, -0.4?
1.1
Let p = -34/49 + 1045/588. Let m be ((-40)/3)/4 + 3. Let l = m + p. What is the third biggest value in -0.2, -1, l?
-1
Let f = -0.094 + -0.106. Which is the third smallest value? (a) 2/11 (b) -3 (c) f
a
Let m(q) = q**3 - 3*q**2 + q - 3. Let k be m(3). Let n = 19 + -11. Let x = n + -3. Which is the smallest value? (a) x (b) -2 (c) k
b
Let r = -5 + 4. Which is the smallest value? (a) r (b) -4 (c) -8
c
Let l(q) = -q**2 - q. Let b = -11 + 10. Let i be l(b). What is the second biggest value in i, 1/6, 4?
1/6
Let p = -79/56 - -9/7. Which is the second biggest value? (a) -1.1 (b) p (c) 0
b
Let m = -347 - -1734/5. Let q = -0.1 + 0.3. Let l be (-2)/(-6)*9/2. Which is the smallest value? (a) l (b) m (c) q
b
Let d = 10 - 6. Let y be (-9)/42*-20 - d. Suppose -3 = 4*x - x. Which is the second smallest value? (a) x (b) 0.03 (c) y
b
Let g = -38.8 - -39. What is the fourth smallest value in -4, 5, 0.03, g?
5
Let f = -5.7 - -7. Let k = -1 + f. Which is the second smallest value? (a) -0.3 (b) -4 (c) k
a
Let t = -104/5 - -21. Which is the biggest value? (a) t (b) -1 (c) -13
a
Let k = 0 + -0.07. What is the biggest value in k, 0, 1/5?
1/5
Let u = -0.394 - 0.006. What is the third smallest value in 0, 4, u?
4
Let i = -0.06 + -4.94. Let w = -8.2 - -3. Let h = i - w. Which is the second smallest value? (a) h (b) 1/2 (c) 4
b
Let t = 1.2 - -1.5. Let k = 0.3 + t. Let g = 202 + -1820/9. What is the third smallest value in 2, k, g?
k
Let d be 6/72*(-1 - -5). What is the second biggest value in -0.3, d, -1/7?
-1/7
Let j = 3 + -2.8. Which is the second smallest value? (a) j (b) 1 (c) 2/15
a
Let g = 221 - 1550/7. What is the third smallest value in -1/5, g, -2/17?
-2/17
Let z be 3/(30/98) - (-4)/20. Which is the third smallest value? (a) z (b) 5 (c) 2/17
a
Suppose 0*h - 2*h = 12. Let w be h/5*20/8. What is the third biggest value in -4/5, w, -1?
w
Let h = 4/41 - -103/205. Let o = 0.7 + -0.3. Let y = -1 + -4. What is the second biggest value in h, o, y?
o
Suppose -18 = -z - 17. What is the third biggest value in z, 5, -4?
-4
Suppose -45 - 9 = 3*l. Let q be (-10)/20 + l/4. Let x be (6/(-9))/(4/(-3)). What is the second biggest value in x, q, -0.3?
-0.3
Let o be (-8)/(-126)*9/(-6). Let i = 2298/1595 - 16/11. Let v = 12/29 + i. What is the biggest value in v, o, -0.3?
v
Let j = -44/7 + 192/35. Which is the third biggest value? (a) j (b) -1 (c) -3 (d) 1/8
b
Let t = 22 - 24. Which is the smallest value? (a) -1 (b) t (c) -0.4
b
Let s(d) = -d**3 - 2*d**2 + 3*d + 1. Let h be s(-3). Let g be 21/(-180) - h/(-4). Which is the third biggest value? (a) g (b) -2 (c) 3
b
Let p(k) be the first derivative of -k**3/3 + 5*k**2/2 - 5*k - 5. Let x be p(4). What is the second smallest value in -4, x, 2/11?
x
Let u = -1 - -4. Let q = -2 - -1.1. Let p = -1 - q. Which is the third biggest value? (a) u (b) p (c) 0
b
Let q = 0.77 - 0.7. Let f = q + -0.37. Let d = 13 + -10. Which is the smallest value? (a) d (b) f (c) 5
b
Let h = -0.1 + -0.1. Suppose -3*x - 5*o = -15, 4*x - 3*o - 5 = 3*x. Suppose -x*u = -3*u - 2. Which is the biggest value? (a) -2 (b) u (c) h
b
Let d = 0 + -1. Let q = -3 - -2.7. Let g(y) = y**2 + 7*y + 8. Let j be g(-6). What is the second biggest value in j, d, q?
q
Let l = -0.49 - 0.21. Let j = 4.3 - l. Which is the third smallest value? (a) 0.2 (b) 2 (c) j
c
Let p = 0.01 + 3.99. Let l = -5 + p. Let b = -5 + 9. What is the second smallest value in b, l, 0.03?
0.03
Let y be 4/(-33)*(-9)/6. Which is the smallest value? (a) y (b) -3/2 (c) 4
b
Let f = -188/5 - -1519/40. Let z = 8.9 - 8. Let r = z + -1.2. What is the third biggest value in 3/4, f, r?
r
Let f = -355/1608 + 12/67. Let l = -11/120 + f. Which is the second biggest value? (a) 0 (b) 3 (c) l
a
Let n = -8 + 10. Let g = -1.8 - -1.5. Which is the second biggest value? (a) 0.1 (b) g (c) n
a
Let h = -0.03 - -0.53. What is the biggest value in h, 0.2, 1?
1
Let d = 0.001 - -4.999. What is the third biggest value in -0.1, 0.2, d?
-0.1
Let v = 42 - 17. Let p be (-10)/v + 1/(-35). What is the third smallest value in -3, 0.4, p?
0.4
Let c = -7 + 6. Let q = 4 - 13. Let s = -6 - q. What is the biggest value in 0.5, c, s?
s
Let r = -2 - -2.1. Let o be (1/(3 - 0))/(-1). Let s be 2/(-8)*8/(-18). Which is the smallest value? (a) o (b) s (c) r
a
Let m = -111 - -891/8. Let q = -0.2 - -0.3. Let v = q - 0.3. Which is the second smallest value? (a) m (b) v (c) -3
b
Let x = -0.1 - 0.1. Let z = -14 + 12. Which is the smallest value? (a) x (b) z (c) 4
b
Let m = 0.01 - 0.21. Which is the second biggest value? (a) 0.2 (b) 2/7 (c) m
a
Let z = 7 + -5. Suppose 4*f + 4 + 4 = 0. What is the smallest value in -4, z, f?
-4
Let t = -0.71 + -0.29. What is the fourth biggest value in -3/2, 1/3, t, 1/23?
-3/2
Let y = -0.02 + 0.06. Let s = 3.96 + y. What is the smallest value in s, 3, 0?
0
Let x = -0.46 + 0.06. Let k(d) = -d**3 - 6*d**2 + d + 6. Let f be k(-6). Suppose f = -g + 5*g - 12. Which is the third smallest value? (a) -2/13 (b) x (c) g
c
Suppose 0 = 3*l - 4*h + 10, -2*l - h - 4 + 12 = 0. What is the smallest value in -3, l, 0.1, -2?
-3
Let u = -7 - -5. What is the third biggest value in -2/11, u, -0.5?
u
Suppose -24*g = -20*g - 12. Let q = 17 + -12. Let u = -1 + 0.5. Which is the biggest value? (a) u (b) q (c) g
b
Suppose -5*m + i + 125 = 0, 0*i = -4*m - 2*i + 86. Let s be ((-1)/(-7))/(m/(-28)). Which is the second smallest value? (a) 4 (b) 6 (c) s
a
Let t = -2 + 1. Let q = 12/17 + -50/119. Which is the second biggest value? (a) t (b) 3 (c) q
c
Let i = -43/330 + 1/33. Which is the third smallest value? (a) -1/7 (b) -2 (c) -2/11 (d) i
a
Suppose 0 = 5*h + t + 9, t + 3 = h - 0. Let s be -4*2/((-8)/h). Let z be 27/35 - s/(-5). Which is the smallest value? (a) z (b) 0 (c) 3
b
Let j be 45/18*4/10. Let o be (j/24)/((-2)/(-6)). Let l = -41/18 + 7/9. Which is the second smallest value? (a) o (b) 0.5 (c) l
a
Let y = -2 - -1.7. Suppose -28 = -5*z + z - 4*r, -4*r + 14 = -3*z. Which is the third smallest value? (a) y (b) z (c) 5
c
Suppose -3*t + 6*t = 9. Suppose -t*s - 6 = 3. What is the smallest value in -2, s, -0.2?
s
Let p be (-1 - -2) + (-1)/3. Let i = 0.017 - -3.983. Which is the second smallest value? (a) -1 (b) p (c) i
b
Let o = 1.4 + -1. Let x = o - 0.3. Let z = 209/5 + -42. Which is the third biggest value? (a) z (b) x (c) 2/17
a
Let z be 40/(-30)*(-6)/76. Which is the second smallest value? (a) z (b) 2/9 (c) 4
b
Let l = 0.4 + -0.3. Which is the second biggest value? (a) 3 (b) l (c) -0.04
b
Let i be 6*2*(-3)/(-6). Let g = i + -4. Suppose -r = -3*k - 15, -g*r - k = -0*k - 2. What is the third smallest value in r, -5/3, -0.4?
r
Let g(l) = l - 1. Let t be g(5). Let i be (t/6)/((-21)/(-9)). Which is the second smallest value? (a) 0.3 (b) 0.5 (c) i
a
Let x = 13 - 18. Let w be (-11)/13 - 5/x. Let s = 5 + -10. Which is the biggest value? (a) w (b) -1 (c) s
a
Let h(z) = -19*z**2 - 1. Let v be h(1). Let j be v/(-8) + 1/2. Suppose -4*l - 3 = -j*l. What is the third smallest value in l, -2/5, 2/11?
2/11
Let n = 1 - 5. Suppose 7*h - 14 = 5*h. Let j be (-2)/(-24)*(h + n). What is the third biggest value in -5, 0.1, j?
-5
Let g = 14.02 + -14. Let o = -2.02 + g. Let i = -1382/7 + 197. What is the biggest value in o, i, 1/3?
1/3
Let q(w) = -7*w**2 + w. Let o be q(1). Let u = -6 - o. Let b(i) = -i**2 -
|
{
"pile_set_name": "DM Mathematics"
}
|
?
False
Is 167116811 composite?
False
Is 154252886881 a prime number?
False
Is 67129793557 a prime number?
True
Is 814150187 a composite number?
False
Is 4244291169 prime?
False
Is 17880870211 composite?
False
Is 35861813833 a prime number?
False
Is 957998567 a composite number?
False
Is 290809606 a prime number?
False
Is 5201866447 composite?
False
Is 62312760313 a composite number?
True
Is 10754491199 a composite number?
False
Is 41566208583 composite?
True
Is 87397478423 a prime number?
False
Is 175568708845 a composite number?
True
Is 4886454611 composite?
True
Is 3683034359 a composite number?
False
Is 24182305351 composite?
False
Is 9799589387 a prime number?
False
Is 48095101817 a composite number?
True
Is 1969755679 a composite number?
False
Is 2228688587 composite?
True
Is 1498957763 a composite number?
True
Is 56169433465 a composite number?
True
Is 444747841 composite?
True
Is 4804993153 a prime number?
True
Is 161150513 composite?
False
Is 53371480789 composite?
True
Is 1398487567 prime?
True
Is 2844933421 composite?
True
Is 13732644713 a prime number?
True
Is 31390620463 a prime number?
True
Is 2053494841 a prime number?
False
Is 1295263493 prime?
True
Is 784018399 a composite number?
False
Is 26554723327 a prime number?
False
Is 17276802227 composite?
False
Is 3282392051 a composite number?
False
Is 18037519781 a composite number?
False
Is 52790603 a composite number?
False
Is 14521348489 a composite number?
False
Is 2349463759 a composite number?
True
Is 30502880161 prime?
False
Is 1213406759 prime?
True
Is 155705188103 prime?
True
Is 18242825563 a prime number?
False
Is 32778531521 composite?
True
Is 18461032727 a prime number?
True
Is 206939851 a composite number?
False
Is 435512678 prime?
False
Is 7532933774 a composite number?
True
Is 42124001702 a prime number?
False
Is 13394546939 a prime number?
True
Is 18543063499 composite?
False
Is 11915772837 a prime number?
False
Is 660709823 a prime number?
True
Is 53361533 composite?
True
Is 79333589711 a prime number?
False
Is 313302793 prime?
True
Is 573751741 prime?
False
Is 12417505523 a composite number?
False
Is 16190333569 prime?
False
Is 710338219 prime?
True
Is 44563439 prime?
True
Is 5738088599 a prime number?
False
Is 823774547 a composite number?
False
Is 4519552951 composite?
False
Is 15546413461 a prime number?
True
Is 7488819593 a composite number?
False
Is 1163884607 a composite number?
False
Is 25107679397 a prime number?
True
Is 2174460427 a composite number?
False
Is 25151545813 composite?
False
Is 225228793 a prime number?
False
Is 8605374907 a composite number?
True
Is 70110311027 composite?
True
Is 1021280749 a composite number?
True
Is 5662855403 prime?
True
Is 22840860799 a prime number?
False
Is 47891065063 composite?
True
Is 1015824793 composite?
False
Is 740060771 composite?
False
Is 17278911389 a prime number?
True
Is 94467960661 composite?
False
Is 40772592143 prime?
True
Is 22383923 prime?
False
Is 47330819051 a composite number?
False
Is 173921173 a composite number?
True
Is 10289744849 a composite number?
False
Is 2121384791 composite?
False
Is 593589533 composite?
False
Is 63482689463 a prime number?
False
Is 15123538763 a prime number?
True
Is 5516470609 a composite number?
True
Is 7993047603 prime?
False
Is 788836079 a prime number?
False
Is 79090473893 composite?
False
Is 2262647029 a prime number?
True
Is 29601981977 a prime number?
True
Is 546168811 a composite number?
True
Is 78157289681 a composite number?
True
Is 234174671 composite?
False
Is 3008084293 a composite number?
False
Is 750563029 composite?
True
Is 2564308573 composite?
True
Is 1503877841 a prime number?
True
Is 492899413 a prime number?
True
Is 31159327379 prime?
True
Is 475692559 a prime number?
False
Is 232624451 a composite number?
False
Is 11640084077 a composite number?
False
Is 689855941 composite?
True
Is 3773229773 composite?
True
Is 1221343489 composite?
True
Is 8654834371 prime?
True
Is 1048666579 a composite number?
False
Is 421611917 a composite number?
True
Is 2824102871 composite?
False
Is 3301004167 a composite number?
False
Is 362102339 composite?
False
Is 76512983 prime?
False
Is 60898872887 prime?
True
Is 298045973 a composite number?
False
Is 16265270579 prime?
False
Is 735652649 a prime number?
True
Is 905302897 composite?
True
Is 4317727 a composite number?
False
Is 34611585131 prime?
False
Is 1982867093 composite?
True
Is 14904913709 prime?
False
Is 113527012621 a prime number?
False
Is 1960680253 prime?
False
Is 5954689747 a prime number?
True
Is 231980251 a composite number?
True
Is 1157510782 composite?
True
Is 30559271 a prime number?
True
Is 30256631087 a composite number?
False
Is 540653053 a prime number?
False
Is 2780284681 composite?
True
Is 210335027 prime?
False
Is 21121759427 a composite number?
False
Is 86553395497 a composite number?
False
Is 53851172501 a prime number?
False
Is 196779059 prime?
True
Is 14370352949 a composite number?
False
Is 2736764097 a prime number?
False
Is 1712259607 composite?
True
Is 794833085 a composite number?
True
Is 68340884263 prime?
False
Is 582887705 a composite number?
True
Is 131203829 prime?
True
Is 1786872583 prime?
True
Is 50770241 a prime number?
True
Is 4484217761 prime?
True
Is 1101025059 a prime number?
False
Is 10188337403 a prime number?
True
Is 104340363 a prime number?
False
Is 3216180971 a prime number?
True
Is 207647359 prime?
False
Is 207093891949 a composite number?
True
Is 979794209 prime?
False
Is 13616865701 a composite number?
False
Is 1465343881 composite?
False
Is 74104124449 composite?
True
Is 2502727631 a prime number?
False
Is 1526865779 a composite number?
True
Is 94565924491 a prime number?
True
Is 793343515 a composite number?
True
Is 191147947 composite?
True
Is 7122026033 a prime number?
False
Is 1954720451 prime?
True
Is 1304434787 prime?
True
Is 203875229 a prime number?
True
Is 48438407 a prime number?
True
Is 105302339737 composite?
True
Is 280269562 a composite number?
True
Is 262894267 composite?
False
Is 614539619 a composite number?
False
Is 10604806183 prime?
False
Is 13702627369 a composite number?
False
Is 1991881343 a composite number?
False
Is 85023337 a prime number?
False
Is 89979098711 composite?
False
Is 6003546257 a prime number?
True
Is 80983411 composite?
False
Is 776310719 prime?
True
Is 2220649441 a prime number?
False
Is 409361930201 prime?
False
Is 161985179 a composite number?
True
Is 10999462279 composite?
True
Is 16760985107 a prime number?
True
Is 166414969 composite?
True
Is 230830973 composite?
False
Is 3789862537 prime?
True
Is 3433765081 prime?
False
Is 456556957 prime?
True
Is 478756729 a composite number?
True
Is 31500439037 a prime number?
True
Is 19014941279 composite?
False
Is 7964223401 a prime number?
False
Is 1349082547 a prime number?
True
Is 476045027 a composite number?
False
Is 1015358543 a composite number?
True
Is 35147123743 prime?
False
Is 5141680562 composite?
True
Is 856041101 prime?
False
Is 393306841 composite?
False
Is 325679503 a composite number?
True
Is 127159091 a prime number?
True
Is 7355296261 composite?
False
Is 345724061 composite?
False
Is 119558977 composite?
True
Is 8706521377 a prime number?
False
Is 34743975815 a prime number?
False
Is 342632869 a prime number?
True
Is 80684665199 a composite number?
True
Is 906585259 composite?
False
Is 4674128677 a prime number?
True
Is 297069289 composite?
True
Is 2061236533 a composite number?
True
Is 156147931513 composite?
True
Is 1444534969 a composite number?
True
Is 862602511 a prime number?
False
Is 334912879573 prime?
True
Is 5028578263 a composite number?
False
Is 104435025367 a composite number?
False
Is 419916611 a composite number?
False
Is 2528419681 composite?
False
Is 329242591 prime?
False
Is 371734303 a prime number?
False
Is 183775637 composite?
True
Is 1300952167 a composite number?
False
Is 2279448181 prime?
True
Is 181982939 a prime number?
False
Is 126430153 a composite number?
False
Is 403872745 prime?
False
Is 502406407 a composite number?
True
Is 137953259 a prime number?
False
Is 879011521 prime?
False
Is 8240478287 composite?
False
Is 1558234097 prime?
False
Is 73992010699 a composite number?
False
Is 475008559 a prime number?
True
Is 5508561259 p
|
{
"pile_set_name": "DM Mathematics"
}
|
Let f(n) = -n**2 + 2*n. Let b be f(0). Suppose 2*j = -8, -d + 0*d + 5*j = -24. Solve b = 5*a - p - 9, -5*a - d*p - 7 = -p for a.
1
Let w = 13 + 19. Suppose w = x + 9. Let j(f) = -2*f + 22. Let q be j(9). Solve -d = -2*n - 3, q*d = -4*n + n + x for n.
1
Let m = -5 - -3. Let r be 51/12 + m/8. Solve -r*b + b = 2*n - 8, -3*b - 8 = -2*n for n.
4
Suppose 8*g - 3*g - 40 = 0. Let k = -54 + 59. Solve -6 = -3*i + x + 2, -k*i = x - g for i.
2
Let x = 0 + 5. Let y be ((-6)/(-10))/(1/x). Solve t + 7 = n - y*t, -12 = 4*t for n.
-5
Let r(c) = 2*c - 13. Let d be r(8). Solve 2*z = 5*t + d*z - 9, -2*z = 4*t - 12 for t.
1
Let b = 63 - 63. Solve b = -s - 2*l - 3 + 4, l - 6 = 5*s for s.
-1
Let u(a) = -5*a**2 + 8*a + 9. Let k(h) = -h**2 + 1. Let c(b) = -4*k(b) + u(b). Let j be c(8). Solve -5 = -5*q + j*i + 35, 4*q - 2 = -2*i for q.
3
Suppose 4*u = 15 + 9. Let s be (-15)/(-6)*(-16)/(-10). Let h = u - s. Solve -5*z + 4*p = 0, -1 = 2*z - h*p + 1 for z.
4
Let x(d) = d**2 + 4*d + 3. Let b be x(-4). Let m be (-4 - -1)/b + 5. Solve -n = 5*q, m*q + q - 4*n = 0 for q.
0
Let s(t) = -t**3 - 6*t**2 + 6*t - 1. Let k be s(-7). Let f(q) = -3 - 4*q + 5*q + 0*q. Let d be f(k). Solve 4*w - 4*l = 5*w - 17, d*l - 12 = 0 for w.
1
Suppose 0 = -3*b + 10 - 4. Solve 0*p - 4*a + 45 = 5*p, 4*p = -b*a + 30 for p.
5
Let t(q) = 2*q + 4. Let n be t(4). Let r = 14 - n. Solve 0*w - 2*z = 4*w - 6, -w - r*z = 6 for w.
4
Suppose 0 = 5*w + 3 - 18. Solve -w*h = -h - 5*m + 5, -1 = m for h.
-5
Suppose -5*j = s + 23, 5*j + 7 = -4*s + 2*j. Suppose 3 = n + s*n. Let x be (n + -2)/((-3)/24). Solve -4*a - x = -4*k, -a = 2*a - 5*k + 6 for a.
-2
Suppose 2*z - 3*n - 31 = 0, -n - 49 = -3*z + 4*n. Let q = 10 - 15. Let k = q + z. Solve -2*v = k*f - 5, 2*f - 2*v + 9 = f for f.
-1
Let q(m) = -m**3 - 7*m**2 - 3*m - 16. Suppose 26 - 5 = -3*j. Let v be q(j). Let o = 11 + -8. Solve 5*d = -y + v + 15, -4*y + 12 = o*d for d.
4
Let c be 24/10 - (-10)/(-25). Let f be (-8 - 0)/c + 6. Solve -5*w + l = 2*l, -4*l = f*w - 18 for w.
-1
Suppose 5*s - 15 = 15. Suppose 3*j - j - s = 0. Suppose 27 = j*h + 3*c, -22 = -3*h + c - 3*c. Solve -h*t + 2*g - 8 = 0, -g + 13 + 0 = -5*t for t.
-3
Let q = -1 - -11. Solve -5*w + 5*k = q, 3*w + 2*k - 1 = 8 for w.
1
Let i be (0 + -1)*(10 + 1). Let y = 5 + i. Let x be (2 + 0)/((-4)/y). Solve -r - l + 3*l - 2 = 0, 4*r - 14 = -x*l for r.
2
Suppose 0 = -2*k - 0 + 8. Solve 1 = a - 2, -a = -j - k for j.
-1
Let o = 65 + -64. Solve 0 = -2*z - a - 4, 0 = 5*z + 3*a + o + 11 for z.
0
Suppose -2*r - 5*q = -29, -2*q = 2 - 12. Solve 31 = 2*z + 3*z + 3*c, 0 = -r*z - c + 12 for z.
5
Suppose 20 = 4*y - 4*m, 0*m = -y - m - 3. Solve 3*i - 3*l - 6 = 0, -i - 5*l - y = 3*i for i.
1
Let z(p) = p**2 - 3*p - 7. Suppose 0 = s + 1 - 4. Suppose -s*m + 25 = 2*m. Let g be z(m). Solve -g*k = 5*t - 17, -4*t - k = -t - 11 for t.
4
Let o(n) = -n**3 + 4*n**2 + 4*n + 9. Let z be o(5). Solve -2*s - 3 = -4*p - 23, -4*s + z*p + 28 = 0 for s.
4
Let r be (2/4)/((-3)/(-6)). Let a be (-1)/(-1) + 2*r. Suppose 25 = 5*h + 3*i + 2*i, h - 4*i = -5. Solve -4*z - h*t = -22, -3*z + 3*t + a = -3 for z.
4
Suppose i + 29 - 9 = 5*x, 3*x + 4*i - 12 = 0. Let d be -2*3/(-6)*x. Solve -y + d = j, y - 6*j = -j + 10 for y.
5
Suppose 0 = -5*i + 30 - 5. Suppose i*a + 3*o = -2*o + 10, -o - 6 = -3*a. Solve h - a*n = -5, 0*h = -2*h - n + 10 for h.
3
Let x(n) = n - 5. Let u be x(-6). Let w be (-230)/(-14) - (-12)/21. Let k = u + w. Solve -4*c + 5*t + 6 = -k, 0 = -c - 2*t - 10 for c.
-2
Let b be (8 + -11 + 6)/(0 + 1). Solve 0*a + a = b*t - 11, 5*a = -t + 9 for a.
1
Suppose 4*y + 2 = 3*y - 2*s, y + 5*s + 5 = 0. Solve y = -3*n - 4*l - l, 4*n + 5*l - 5 = 0 for n.
5
Let s = 62 - 60. Solve 0*l = -l - q + s, -3*q = -5*l - 6 for l.
0
Suppose 2 = -4*n + 6*n. Solve 8*i - 4*i - f = -n, 2*f = -6 for i.
-1
Let o be (-38)/(-8) - (-8)/32. Suppose 0 = q - o. Suppose 5*z + q*b - 1 = 14, 5*b + 9 = z. Solve 7 = 2*d - w + 3, -d = -z*w - 2 for d.
2
Let s(q) = -2*q**3 - 2*q**2 - q. Let y be s(-1). Let w be y/((-3)/(-3*2)). Solve 0 = 4*a + 3*g, -w*a + 6 = -2*g + 20 for a.
-3
Let u(g) = 12*g**2 - g + 1. Let w be 4 - 1 - (6 + -4). Let h be u(w). Solve 4*v - h = -a, 2*a = 5*v + a - 15 for v.
3
Suppose 6*u = 7*u - 3. Solve 3*y - 5 = -2*f - u*f, -3*f + 3*y - 21 = 0 for f.
-2
Suppose -4*a = -b - 4 - 14, -28 = -4*b - 4*a. Solve 0 = -b*k - k - 3, 0 = 3*l + 4*k - 11 for l.
5
Let i(m) = 2*m**3 - m**2 + m - 1. Let n be i(1). Suppose 4*s + 3 = 3*s. Let j = 3 + s. Solve -10 = 4*p - d, 5*d + j = 3*p - n for p.
-3
Let v = 0 + 0. Let b(q) = q**2 + 3*q - 5. Let r be b(-5). Suppose 3*l - 3*x = 27, 3*x + 33 = r*l + x. Solve -8*a + 4*a = 5*f - 36, -l*a + 20 = v for f.
4
Suppose 4*z = -z + 10. Suppose z*n - 4*n + 50 = 0. Solve -n = -5*g + 5*b, -3*g - 5*b - 5 = 2*g for g.
2
Suppose p - 4*p + 26 = l, -5*l = 4*p - 20. Suppose -4*n + 3 = -1. Solve n = v + a + 3, -p = -4*v + 5*a for v.
0
Suppose 0 = -5*r - 4*v + 10, 2*r + 5*v = -0 - 13. Suppose -3*s - 5 + 35 = 0. Suppose -s = -r*d + d. Solve k + 4*u = -34 + 10, 0 = d*k - u + 3 for k.
-4
Let f(m) = -3*m + 14. Let n be f(4). Solve 2*x - 1 = o - 0*x, -4 = -n*o + x for o.
3
Let b(d) = d**3 + 5*d**2 - 6*d - 4. Let s be b(-6). Let p be s/(-10) + (-76)/(-10). Let j be -8*(-2 + 6/4). Solve 0 = -2*x, 2*x + x + p = j*n for n.
2
Suppose -6 = 2*n + 4*c, 5*n - n + 3*c = 8. Let f = n + 7. Suppose 3*u - f = -u. Solve 12 + u = -5*z + 3*i, -z = -2*i + 10 for z.
0
Let z(f) = f**2 + 4*f + 1. Let v be z(-5). Suppose -n = n - v. Solve -3*y - 2*m + 5*m - 18 = 0, 3*m = -n*y for y.
-3
Let i(d) be the second derivative of d**5 - d**4/12 + 2*d. Let s be i(1). Let z be 1/((-3)/2 + 2). Solve 11 = -z*x - 5*l, -3*l = -x - 4*x + s for x.
2
Suppose 5*v = 3*o + 69 - 14, 0 = -v + 3*o + 23. Suppose 8 = -i + 3*i. Solve -2*l + v = 5*k, 2*k + 3*k + i*l - 16 = 0 for k.
0
Let s(j) = 3*j**2 - j + 4. Let i be s(0). Solve 0 = 5*x - 2*w, -3*x + i*w = 4 - 18 for x.
-2
Let m be (-3 - 0) + 0 + 4 + 3. Let d be 7/(-21)*9*-1. Solve x = -m*k - d*x - 32, 2*k + 11 = -x for k.
-3
Let h(l) = -l**3 + 2*l**2 + l + 3. Let d be h(4). Let x = d - 11. Let s be 1/(-5) + x/(-5). Solve 2*g - 3*b = 14, -2*b + 15 = -5*g - s*b for g.
1
Suppose 5*c = 3*c - 8. Let n = c - -8. Solve -2*r - 10 = -5*r - 4*s, r = -2*s + n for r.
2
Let t(w) = -8*w - 6. Let z(c) = c. Let h(x) = t(x) + 5*z(x). Let r be h(-5). Solve 6*l - 15 = l + i, 3*l - r = -2*i for l.
3
Suppose 9 = o + 2*o. Suppose 4*r - o*r = 0. Suppose -5*j = -15, 2*s + 5*j + 0*j - 65 = r. Solve 0*a + a + 5 = 4*w, -s = 5*a - 5*w for a.
-5
Let f be 7*3*6/63. Solve -4*v + v - 21 = -f*z, -4*v = -3*z + 29 for v.
-5
Let y be ((-4)/6)/(16/72). Let v be (0/(-3))/(3/y). Solve -4*c + 2 = -2*h, 0 = -3*c - h + 14 - v for c.
3
Suppose -5 = 4*o - 13. Suppose -58 = -3*f + o. Solve 5*i + 16 = 3*s, -5*s = 4*i - 3*i + f for i.
-5
Let b(x) = x**2 + 5*x - 6. Let l be b(-6). Suppose r - 2*r + 4 = l. Let n be ((-4)/6)/(r/(-18)). Solve 4*o = -20, -2*m - 4*o + n = 17 for m.
3
Let c = 15 - 10. Let k = -3 + c. Suppose 3*y - 6*y - o + 11 = 0, -3*y + 5*o = 1. Solve l = y*v + 16, -3*l = -6*l + k*v + 20 for l.
4
Suppose 0 = -4*h - 71 + 7. Let k = 19 + h. Solve -u = -k*c - 4*u + 3, 0 = -3*c + 5*u - 29 for c.
-3
Let s = -5 - -2. Let k = 3 + s. Solve -2*p - 9 = -p + 2*u, k = 5*u + 15 for p.
-3
Suppose -3*w + 6 = t - 3*t, 3*t = -4*w + 8. Let v = -3 - -3. Suppose v = 3*h + h - 8. Solve 4*g - h*g = 3*m - 4, t = -5*m - 5*g + 40 for m.
4
Suppose -29*v = -26*v - 6. Solve 3 = h + 2*h, v*p = 4*h - 2 for p.
1
Let w(u) = -u**3 + 6*u**2 - 4*u - 1. Let l be w(5). Let s be 13 + (2 - 1 - -2). Solve -14 = -3*m - 5*h, 3*h - s = -l for m.
-2
Let u = 16 - -17. Suppose -2*p + 3*x = -0*p - u, -5*p + 2*x + 66 = 0. Let w = -7 + p. Solve -w*k = 3*a - 5 - 0, 5*a + 29 = k for k.
4
Let s = 8 - 4. Solve -3*r - 17 = -2*m, s*r + 4*m = -r + 1 for r.
-3
Suppose 57 = -5*z - 13. Let s be (-14)/(-4) + (-21)/z. Suppose 62 = s*f - 2*r + 18, 5*f + 2*r - 36 = 0. Solve 6 = -4*i + 5*v - 10, 2*i - v + f = 0 for i.
-4
Suppose -r - 2*i = -4*i + 1, 0 = 3*i - 15. Suppose -2*c - 8 = 0, 20 = n + n - 3*c. Solve -3*b - n*g + r*g - 10 = 0, 2*g - 18 = 4*b for b.
-5
Suppose 23 + 17 = 5*n. Let v(q) = -q**3 + 9*q**2 - 8*q + 5. Let p be v(n). Solve 3*y + y = -2*r + 8, 12 = 3*r + p*y for r.
4
Let b = -1 - -3. Let r(v) = v**2 - 8*v + 3. Let z be ((-24)/20)/(6/(-40)).
|
{
"pile_set_name": "DM Mathematics"
}
|
= 4*u. Is 5 a factor of u?
True
Suppose 0 = -0*y + 4*y - 132. Let d be 6/(-33) + 105/y. Let r(u) = -u**3 + 3*u**2 + 2*u. Is 3 a factor of r(d)?
True
Suppose -2*h - 3*b = -7*h - 9, 2*h + 5*b - 15 = 0. Let r be 1 + h + (-3 - -10). Suppose -24 - r = -4*k. Is 7 a factor of k?
False
Let i = 26 + 58. Is 14 a factor of i?
True
Let a = -2 - -20. Suppose -x - a = -0*x - 4*g, 31 = 3*x + 5*g. Suppose -x*n = n + 15, 4*t = -2*n + 150. Is t a multiple of 20?
True
Let t(a) = a**3 - 6*a**2 + 5*a + 2. Let x be t(4). Is 15 a factor of x*(-1)/(-2)*-3?
True
Let b be (-3)/(2 + (-61)/29). Let m = b - 20. Does 3 divide m?
True
Let j be 4 - (-4 + 0 + 2). Let u be (0 - 2)/((-1)/j). Is 123/u + (-1)/4 a multiple of 10?
True
Let l be 84/(-35) - 2/(-5). Is 3 a factor of (l - 15/(-6))*10?
False
Suppose x - 3*x = -98. Let l = 95 - x. Does 23 divide l?
True
Let g(p) = -5*p**2 - 33*p - 18. Let v(r) = -2*r**2 - 11*r - 6. Let z(k) = -3*g(k) + 8*v(k). Let m = 21 + -12. Is 12 a factor of z(m)?
True
Does 15 divide 4 - 6 - (-1 - -2 - 18)?
True
Is 11 a factor of 52/4 - 2 - -1?
False
Let m(h) = 0 + 0*h - 1 - 2*h - 3. Let c be m(-3). Suppose c*f = 6*f - 136. Does 14 divide f?
False
Let d = 3 + -3. Suppose 3*z = -d*l + 4*l - 15, -2*z = 3*l + 10. Suppose l = -2*o - v + 13, -2*o + v = o - 27. Does 8 divide o?
True
Suppose v - 4*w = 5*v - 40, 2*w + 22 = 4*v. Is 6 a factor of v?
False
Let u be 6/15 - (-13)/5. Suppose 4*o - u = 129. Is 12 a factor of o?
False
Suppose 3*s - 18 = -3*r, 0 = -9*r + 4*r + s + 12. Let q(o) = -o**r + 2 + 0*o**2 - 5*o**2 - 6*o - 4*o**2 - 3*o. Does 10 divide q(-8)?
True
Let t(x) = 3*x**2 - x - x**2 - 3 + 4 + 0. Let n be t(1). Suppose 2*q + 3*j = 43, -n*q + 0*j + 42 = 2*j. Does 10 divide q?
True
Let w be 0/6 - 26/(-2). Let p = -7 + w. Let r(d) = -d**2 + 11*d - 4. Is 13 a factor of r(p)?
True
Let t be (-1)/4 + 738/8. Is 5 a factor of (t/(-8))/((-2)/4)?
False
Let b(g) = g**3 - 11*g**2 + 10*g + 2. Let y be b(10). Suppose -2*z + c - 72 = 0, y*c + 22 = 3*z + 130. Is 5 a factor of z/10*15/(-6)?
False
Let i(n) = n - 5. Let r be i(7). Suppose r*u = 7*u - 110. Does 11 divide u?
True
Suppose 0 = 5*r + 4*t + 41 - 245, -2*r + 2*t = -78. Is 4 a factor of r?
True
Suppose -2*c + r = -13, 5*c - 29 = r - 1. Suppose -100 = t - c*t. Is 5 a factor of t?
True
Let g(j) = -j**3 - 8*j**2 - 3*j + 3. Let h = -12 - -4. Does 9 divide g(h)?
True
Let a(p) = p**3 + 7*p**2 - 8*p - 1. Let y be a(-8). Let l(r) = -36*r + 2. Is 8 a factor of l(y)?
False
Suppose f + f = 36. Suppose 5*h - 137 = f. Is h a multiple of 9?
False
Does 13 divide (-12)/18 - 80/(-3)?
True
Let s be -22*1/(-2) - 2. Let i = s - -20. Is i a multiple of 14?
False
Let f = -4 - -168. Is f a multiple of 24?
False
Let u be 0 + 0 - 9/(-3). Suppose -4*m = -c - 2, 2*m = -4*c - u + 13. Suppose -3*w - v + 120 = 0, -3*w - 4 = c*v - 121. Is w a multiple of 15?
False
Let h be 424/(-6) + 4/6. Let z be (-9)/12 - h/8. Suppose -x = -4 - z. Does 6 divide x?
True
Let q(v) = 2 - 2*v**3 + 0*v**2 + v + v**2 - 2*v. Suppose 0 = s + 4*x - 2, x - 1 = -0*x. Is q(s) a multiple of 12?
True
Let s = -2 + 25. Let b(i) = -14*i. Let w be b(-1). Let p = s - w. Is 5 a factor of p?
False
Let l = 90 - 42. Is l a multiple of 14?
False
Let a(m) = m + 12. Let s be a(0). Suppose s = 4*p + 4. Does 19 divide p/1 - (-17)/1?
True
Suppose -2*t + 83 = -101. Does 23 divide t?
True
Suppose 3*f + 24 = n + 4*n, 2*f - 9 = -5*n. Let m(v) = v - 1. Let s be m(6). Suppose -3*g + 15 = 0, -s*g - 15 = -n*k - 2*g. Does 10 divide k?
True
Let x(u) = -4*u**2 - u + 1. Let k(n) = -3*n**2 + 2. Let z(r) = -3*k(r) + 2*x(r). Is 13 a factor of z(6)?
False
Suppose -5*t - 820 = 85. Let z = -100 - t. Is 27 a factor of z?
True
Let o(s) = 12*s**2 - 2*s + 3. Let i(r) = -r - 4. Let a be i(-6). Does 13 divide o(a)?
False
Let h = 11 - 6. Suppose 49 = 4*x - m, 2*x + 3*m + 30 = 5*x. Suppose 3*p = h + x. Is 3 a factor of p?
True
Suppose 7*a + 350 = 12*a. Is a a multiple of 14?
True
Suppose -55 = 4*s + y, -3*s + 5*y - 24 = -0*s. Let n = s + 22. Is 7 a factor of (21/4)/(n/24)?
True
Suppose 2*r + 5*v - 301 = 0, -4*r - 4*v + 572 = -0*v. Is r a multiple of 47?
False
Let c = 356 + -235. Suppose 0 = g - 4*g - 4*f + 68, -c = -5*g + f. Does 12 divide g?
True
Let v(n) = 14*n - 39. Is v(9) a multiple of 7?
False
Let z(y) = -y**2 - 8*y - 5. Let c be z(-7). Let t be 0 + (0/c)/3. Suppose w + w - 68 = t. Is 12 a factor of w?
False
Let t(v) = -v**2 + 8*v + 2. Does 3 divide t(7)?
True
Let d(o) = -2*o**3 - 2*o**2 + 3*o + 2. Let p be 1/(3/2 + -1). Let a be (-2 + -1)/(3/p). Is d(a) a multiple of 2?
True
Suppose -5*u - 4*t = -u, 4*t + 15 = u. Suppose 0*p = -u*p. Suppose 0 = z - p*z - 14. Is 7 a factor of z?
True
Suppose 2*j - 95 = -5*m, -2*m - 4 = -5*j - 13. Let n = 28 - m. Does 11 divide n?
True
Suppose -2*s - 3*w = -42, 5*s + 0*s - 105 = -w. Let t be (-12)/(2 - 48/s). Suppose 0 = -2*a - 0*a + t. Is a a multiple of 7?
True
Is 785/9 - 12/54 a multiple of 10?
False
Let o(p) = -6*p - 4. Let x be o(-3). Suppose 4*m - 30 = x. Is 6 a factor of m?
False
Suppose 22 = 2*f + 5*p, -4*p - 7 = 9. Let o = -11 + f. Is o a multiple of 10?
True
Let r(z) = 4*z - 2*z + 1 - 3*z**3 + 10*z**2 - 12*z. Let n(d) = -4*d**3 + 11*d**2 - 10*d + 2. Let b(q) = -4*n(q) + 5*r(q). Is 18 a factor of b(-7)?
True
Suppose y + 17 = -a, 3*a = -y - a - 29. Let i = 3 + y. Let k = -5 - i. Is 5 a factor of k?
True
Suppose t = -5*n + 8, 0*t + 10 = -2*n + 4*t. Is n/(-4) + (-822)/(-24) a multiple of 27?
False
Let v be -2*-2*3/3. Let i = 17 - v. Is 13 a factor of i?
True
Let b = -4 + 9. Suppose 18 = -b*t + 73. Is t a multiple of 11?
True
Let g = -38 + 151. Let j = g + 117. Suppose j = -3*x + 8*x. Is 17 a factor of x?
False
Let u = 150 - -14. Does 14 divide u?
False
Suppose -4*j - j = -130. Suppose 0 = 3*h - 45 + 9. Let l = j - h. Is 7 a factor of l?
True
Let x = -11 - -7. Is 38/x*(-5 + 3) a multiple of 12?
False
Let k be 1 - (53 + 3 - 1). Let h = -11 - k. Does 16 divide h?
False
Suppose 5*o = 15, 3*o + 8 = 5*f + 2. Suppose -f*j = -p - 3*p - 24, 5*p = -2*j - 7. Does 2 divide (-4)/(-16) - (-19)/j?
False
Suppose -13 = -3*j - 4. Let h(o) = 6*o + 1. Does 6 divide h(j)?
False
Let m(a) = 0*a - 2*a + 3 - 2 - 3. Let x be m(-2). Suppose 52 = x*y - 0*y. Is y a multiple of 13?
True
Suppose 6*b - 3*b = 153. Is 17 a factor of b?
True
Let x = 103 - 59. Does 11 divide x?
True
Let z(g) = 2*g**3 + 9*g**2 - g - 5. Is 3 a factor of z(-4)?
True
Let t = 153 - -35. Is t a multiple of 47?
True
Let w = -26 - -63. Does 15 divide w?
False
Suppose -6*n + 3*n = 0. Suppose n = -i + 21 + 15. Is i a multiple of 30?
False
Suppose 5*l + 3*n = -115 + 361, -n = 5*l - 242. Suppose -p = -0*p - l. Does 8 divide p?
True
Suppose -3*j = 5*l - 258, -2*j - 2*l + 176 = -0*l. Does 13 divide j?
True
Suppose d + 0 = 6. Let x(c) be the first derivative of 3*c**2/2 - 4*c - 9. Is 6 a factor of x(d)?
False
Let t(i) = -11*i**2 - 3 + 3*i**3 + 16*i**2 - 2*i**3. Is 6 a factor of t(-4)?
False
Suppose 0*m = -m + 3. Suppose 0 = -3*i + 9 - m. Suppose -x - 3*r - i = 0, 4 - 50 = -3*x + 4*r. Does 7 divide x?
False
Suppose 5 = 4*f - 7. Suppose f*x - 98 = -38. Is x a multiple of 7?
False
Let p = 22 + -40. Is 17 a factor of (p + 1)*(0 + -1)?
True
Let x be 129/9*3 + -3. Suppose 9*n - 5*n - x = 0. Is (-6)/(-4) - (-75)/n a multiple of 6?
False
Let h(x) = -4*x**2 - 11*x - 12. Let l(m) = m**2. Let i(g) = -h(g) - 3*l(g). Let t be i(-10). Suppose -t*c + 87 = c - 3*o, 3 = o. Does 10 divide c?
False
Let y be -7*(23*-1)/1. Let c be -109 + (-1 - -4 - 1). Let i = c + y. Does 19 divide i?
False
Let z(l) = l**3 + 8*l**2 + 7*l + 6. Let c be z(-7). Suppose -t - 3*q + 64 = 0, t - c*t + 266 = -3*q. Does 14 divide t?
False
Suppose -l - 36 = -7. Let f = l + 51. Does 22 divide f?
True
Let n(m) = m**2 + 1. Let p be n(1). Suppose y = -p*y + 42. Is 7 a factor of y?
True
Suppose -3*a - 2*m - 813 = -8*a, -318 = -2*a - m. Does 23 divide a?
True
Is 6 a factor of ((-36)/(-6))/(2/10)?
True
Suppose 132 = 2*n - 12. Suppose 2*s - n = -s. Does 12 divide s?
True
Let k = 93 - 54. Does 13 divide k?
True
Let g(f) = 0*f**3 - f + 13*f**2 - 5*f**2 - 6*f - f**3. Let n be g(7). Suppose n*s + 2*s = 60. Does 11 divide s?
False
Is 16 a factor of 1*(7 + -4)*13?
False
Let d = 6 - 7. Let o(j) be the third derivative of 17*j**5/20 + j**4/12 + j**3/6 + j**2. Is 25 a factor of o(d)?
True
Let
|
{
"pile_set_name": "DM Mathematics"
}
|
is 661 - 0.04?
660.96
Add together 36938 and 0.2.
36938.2
What is -5 minus 55.053?
-60.053
What is 3902 + 2?
3904
What is 45185 + 1?
45186
Work out 4 - -1098.
1102
Calculate -0.09 - -0.039.
-0.051
Sum 125 and 0.074.
125.074
What is 1312 take away 3?
1309
What is the difference between -2 and 2118?
2120
-24+970.3
946.3
What is 2 + 5.6645?
7.6645
What is 0.4 plus -1316?
-1315.6
Calculate -0.5 - -0.0763.
-0.4237
-4418+-0.45
-4418.45
Work out 0.04 + 30674.3.
30674.34
What is 7 less than 0.094425?
-6.905575
Work out 8.09 + 2.
10.09
-0.7+19.13
18.43
Sum 1 and 2.3091.
3.3091
What is -7 + -0.1968?
-7.1968
What is 5 - 2030.142?
-2025.142
Calculate -6.8 + -858.5.
-865.3
Calculate 7698 + -2.79.
7695.21
Calculate 2 + -0.08665.
1.91335
What is the difference between -2844 and -0.055?
2843.945
What is the distance between -601498 and 0.1?
601498.1
What is -12057.46 - 2?
-12059.46
What is 4320 - -43?
4363
What is 0.0345 less than -0.008?
-0.0425
Calculate 126 + -6876.
-6750
Add 0.3 and 2204.
2204.3
Add 2 and -739452.
-739450
Work out 0.1 + -349277.
-349276.9
What is 580 plus 0?
580
What is 96.8 plus -15?
81.8
Put together 5 and -0.808218.
4.191782
What is -1 plus 1620?
1619
-0.1 + -0.09837
-0.19837
What is -7.24513 less than -3?
4.24513
What is -2156761 - -0.4?
-2156760.6
Add together 6.95 and -1.74.
5.21
Subtract -0.1 from -1412.
-1411.9
Put together 28 and -9008.
-8980
What is -0.20887 plus -209?
-209.20887
Total of 7243 and -3.
7240
Work out 5 + 1976.
1981
What is -54 less than -0.042?
53.958
Add -368 and -12.
-380
What is -11604.4 - -2?
-11602.4
3.2 + -0.06
3.14
Add 23776 and 89.
23865
Calculate -15.29 - -0.1.
-15.19
Subtract 0.8 from 13459.46.
13458.66
-0.1 - 156
-156.1
Calculate -2049 + -0.06.
-2049.06
What is -3.58 less than 0.03?
3.61
What is -25542 less than 0.58?
25542.58
Add together -35.7 and -105.6.
-141.3
What is the distance between 1 and 6868?
6867
What is -6.29008 - 0.2?
-6.49008
What is 0.0275 take away 1.8?
-1.7725
Work out -0.0419376 - -4.
3.9580624
What is the difference between -0.13103 and 11?
11.13103
Put together -113099 and 7.
-113092
What is -20175 - 39.6?
-20214.6
Total of 0.5 and -4.7459.
-4.2459
Add together -70 and 722.
652
What is -0.1 less than -52571?
-52570.9
Subtract 1699 from 0.5.
-1698.5
Add -21.55 and 0.
-21.55
Total of 0.4 and -5.288.
-4.888
Put together 0.2 and -8649.
-8648.8
Calculate 20.1 + -20.429.
-0.329
Calculate 12350460 - -0.1.
12350460.1
What is -0.0369 less than -77?
-76.9631
What is the difference between -97.39 and -4?
93.39
Add together -0.2 and -4.759.
-4.959
What is -0.5 less than 446?
446.5
-29.81 + -5
-34.81
What is 0.1 minus 90.3668?
-90.2668
-0.64 - 0.022
-0.662
What is -5709 plus 37?
-5672
Subtract -12202 from -7.
12195
Calculate -43669 - -65.
-43604
Calculate -18 - -0.684273.
-17.315727
What is -49 less than -2144?
-2095
What is -10 less than 0.6948?
10.6948
What is 1727 minus 0.061?
1726.939
What is -0.3 - 0.5952?
-0.8952
What is -389.68 take away 0.5?
-390.18
What is -4 + -1.3466?
-5.3466
What is -0.066063 + 0?
-0.066063
Put together -4 and 509.
505
What is the difference between -0.3 and -0.269?
0.031
What is 4346 take away -0.05?
4346.05
7.4 - 45034
-45026.6
Total of -76 and 21.
-55
What is 13 take away 0.002?
12.998
Work out 0.069 - -0.00008.
0.06908
Calculate 75 + -120.
-45
What is 5 take away -30.7?
35.7
What is 0.2 - 121336?
-121335.8
What is 0.3 plus 160.7?
161
What is -181433 - -0.5?
-181432.5
What is the difference between 48.0421 and 0.3?
47.7421
Subtract -0.08099 from -0.75.
-0.66901
Total of 15 and 0.8.
15.8
Put together 0.1508249 and 1.
1.1508249
What is -1 + 1875?
1874
8355+486
8841
What is 0 take away -331?
331
Add together -0.4 and 0.0121.
-0.3879
Total of 20649 and -0.199.
20648.801
Add -0.3 and -25250.
-25250.3
Sum 0.16 and -816.6.
-816.44
120 - 2
118
Sum -15 and 192.95.
177.95
What is -0.043 less than -311?
-310.957
Sum -383.6 and -5.
-388.6
Subtract -4 from -51.549.
-47.549
Total of -0.023524 and 0.08.
0.056476
Sum 2 and 0.292.
2.292
What is -0.2 take away 600658?
-600658.2
Total of 7 and 5662.4.
5669.4
Total of 0.24 and -10.225.
-9.985
What is -9732 - -2?
-9730
What is the distance between 0.2 and 1167.97?
1167.77
What is 32 less than -16?
-48
What is 392 plus 2.5?
394.5
Calculate -481584 + 0.1.
-481583.9
What is the difference between 5 and -4843?
4848
Sum -412 and 246.
-166
What is -12262 take away 23?
-12285
What is -101 take away 0.16?
-101.16
Put together -0.1127 and 1736.
1735.8873
2 + 3
5
Work out 28 + -0.93.
27.07
What is 131034 plus 0.5?
131034.5
Put together 0.07 and 0.263.
0.333
-0.2145 + 5
4.7855
Subtract -2.69 from -0.01478.
2.67522
Calculate -31 - 3.
-34
What is the distance between -517 and -0.03?
516.97
What is -0.1 less than 1.486?
1.586
0 - -14592
14592
What is -4.773 - 3.7?
-8.473
Calculate 0.14 - -14.92.
15.06
Work out -8 + -47.72.
-55.72
What is the difference between 130359 and -27?
130386
-6.005+0.4
-5.605
Sum 1441085 and 0.7.
1441085.7
Calculate -21834 + 5.
-21829
Work out -0.5 - 837.
-837.5
What is -252.2 minus -0.02?
-252.18
What is the distance between -5 and -2786?
2781
Put together 11 and -21996.
-21985
Put together 0.3 and -887.
-886.7
Put together 12.7 and -25.9.
-13.2
Sum -0.4 and -30.
-30.4
2 + -0.03861
1.96139
What is the difference between 13.99 and -0.4?
14.39
What is the distance between -0.1 and 106?
106.1
Subtract 165525 from 0.01.
-165524.99
What is the distance between 41063.2 and 0.3?
41062.9
-17.9 + -9
-26.9
What is 25.898 take away 2?
23.898
What is 0.144 - -0.4?
0.544
-13083 - 0.2
-13083.2
Subtract 0.066 from -1.7.
-1.766
Add -3 and 31.3.
28.3
What is 0.5 - -7.28?
7.78
What is 0.05037 plus 1?
1.05037
What is the distance between 0.4 and -172.9?
173.3
What is -5 less than -8911?
-8906
What is -1165 take away -69?
-1096
What is 45 - 80?
-35
What is -3.805 + 0.014?
-3.791
Calculate 164 - 0.12194.
163.87806
What is 6 take away -817218?
817224
What is 62505 + -0.06?
62504.94
Sum 42644 and 0.1.
42644.1
What is -0.209 - 0.10311?
-0.31211
Work out -2053 + -0.171.
-2053.171
Calculate 3 + 25.683.
28.683
Put together -37.86 and 0.0311.
-37.8289
Sum 13.2 and -2992.
-2978.8
7.7 - 0.9961
6.7039
Put together -702.1 and -16.3.
-718.4
What is -3.683 minus -0.151?
-3.532
-11285 + 9
-11276
Work out 2 - 437.7.
-435.7
What is -0.2 less than -15543?
-15542.8
Total of 0.895 and -0.55.
0.345
Work out -1742 - 0.5.
-1742.5
Put together -30.007 and 5.
-25.007
What is 0.124 - 0.01?
0.114
What is 0.4 minus 175?
-174.6
10 - -105795
105805
Add together -1010 and 28.47.
-981.53
Subtract 11.79 from 0.2.
-11.59
Work out 25.80168 - -3.
28.80168
-31+24.03
-6.97
0.15 + 20
20.15
Work out 10254 + -3.
10251
Add 86 and -0.457.
85.543
What is -1 take away 60876.8?
-60877.8
0.7+-372622
-372621.3
Calculate 0.1 + 211.4.
211.5
What is -86197 - -0.116?
-86196.884
0.1 + -27.62
-27.52
Work out -272 + -1.5.
-273.5
What is -0.5 minus 119414?
-119414.5
What is 0.04 minus -5.281?
5.321
Subtract -0.092 from -0.1.
-0.008
Add together -9150 and -0.4.
-9150.4
Work out 0.76 + 0.189.
0.949
Total of 5 and -1170925.
-1170920
What is the distance between -0.4 and 1370?
1370.4
Calculate 200 - 77.
123
What is -0.88 + -2817?
-2817.88
What is -0.042 take away -56?
55.958
-0.05 - 8323
-8323.05
Work out -0.1 + 0.060588.
-0.039412
Add together 53.3 and 0.2.
53.5
What is 57 less than 1296?
1239
Subtract 6553 from -3.
-6556
Sum 314.402 and -1.
313.402
Add together 624349 and 0.4.
624349.4
Add together 35 and 10744.
10779
Put together -1035 and -3463.
-4498
Total of -0.637 and 2.
1.363
What is 0.159 plus -298?
-297.841
Put together 3 and 193727.
193730
-0.0438+3
2.9562
Calculate 736 - 1.3.
734.7
Calculate -1 + -3272.4.
-3273.4
What is -77998 plus -5?
-78003
What is 0.51 plus 0.75?
1.26
What is -3516 + 0.0362?
-3515.9638
Work out 23 + -7.6.
15.4
Work out -13.3 + 27.
13.7
What is 1246 minus 0.6?
1245.4
Calculate -166 - 1.2.
-167.2
Subtract -46531 from 382.
46913
What is 27248 plus 5?
27253
What is -11372 minus 0.3?
-11372.3
What is the difference between -5 and 2977116?
2977121
Add -0.039 and 264.
263.961
Calculate 182 + 0.29.
182.29
Work out 104 + -176.
-72
What is -0.36544 take away 0.4?
-0.76544
What is -7158763 minus -5?
-7158758
What is 0.3979 less than -0.031?
-0.4289
Calculate 6.3 + 0.04.
6.
|
{
"pile_set_name": "DM Mathematics"
}
|
z + 237 = 0. Is z prime?
True
Let y(k) = 300*k**2 + 5*k - 4. Is y(1) a prime number?
False
Let m = -9 - -12. Suppose -178 = -m*j - 40. Is j a prime number?
False
Let i be 1*((0 - 0) + -4). Let q be 2198/4*108/(-63). Is q/(-30) + i/10 prime?
True
Suppose -u + 2*u - 5 = 0. Suppose 4*g - 646 = 394. Suppose u*w - g = w. Is w prime?
False
Let k = -63 + 126. Let u = k + -24. Is u composite?
True
Is ((30/9)/(-5))/((-12)/15354) prime?
True
Let b(t) = -t**2 - 11*t - 8. Let n be b(-10). Suppose n*v + 0*v - 106 = 0. Is v composite?
False
Suppose -6*w + 27 = -5*d - 3*w, 2*w - 28 = 5*d. Let x be ((-75)/6)/((-3)/d). Let q = 0 - x. Is q a prime number?
False
Is (-3)/3 + (-1638)/(-3) composite?
True
Let x(h) = -38*h + 1. Is x(-3) prime?
False
Let y(u) = -u. Let s be y(-6). Suppose -x + s = x. Suppose j + 2*g = -0*g + 43, 5*j - x*g = 280. Is j a composite number?
False
Let a = 8 + -8. Suppose -h = -5*j + 178 + 147, 2*j - 4*h - 130 = a. Is j composite?
True
Let l = -16 + 7. Let p(a) = a - 1. Let c(h) = -19*h - 8. Let r(u) = c(u) + 5*p(u). Is r(l) composite?
False
Is (0 + 2*-1)/((-44)/14806) a prime number?
True
Let k be (-1 - 0)/(2/(-4)). Let v be -2 + 3 + k/(-2). Suppose v*r + 159 = 3*r. Is r composite?
False
Let r(s) be the first derivative of -s**3/3 + 9*s**2/2 + 5*s - 2. Is r(5) a composite number?
True
Let d = 5 - 13. Let s(v) = 4*v**2 + 7*v - 6. Let o be s(d). Let z = -115 + o. Is z prime?
True
Let x be 6/(-9)*3/1. Let m = 6 + x. Suppose -59 = 2*f - m*f - w, 4*f = 4*w + 136. Is f composite?
False
Let v(r) = 6*r**2 - 10*r - 10. Let m(a) = -5*a**2 + 9*a + 9. Let i(d) = -4*m(d) - 3*v(d). Suppose -5*t = -3*t - 10. Is i(t) a composite number?
True
Let b = -17 + 129. Suppose b = 2*m - 6. Is m composite?
False
Suppose -1 + 5 = 4*j. Is (-70)/(-8) + j/4 a composite number?
True
Suppose 0*i + 2 = -2*i. Let c(n) = 132*n. Let z(d) = -19*d. Let j(h) = 3*c(h) + 22*z(h). Is j(i) composite?
True
Let h(o) = 10*o**2 - 17*o - 17. Is h(16) a prime number?
False
Suppose -1 = -2*z + 177. Is z a composite number?
False
Let u = -242 - -360. Let z = -61 + u. Is z a composite number?
True
Is (3 - (-1)/(-2))*82 a prime number?
False
Let n = -851 - -2890. Is n composite?
False
Suppose 0 = 2*u + 2, 4*u + 6 = -2*l - 8. Let f(x) = 3*x**2 + 4. Is f(l) a prime number?
True
Let u(b) = 18*b**2 - 1. Is u(-3) composite?
True
Suppose -3*t + 5 = -2*s - 7, 4*t = 3*s + 16. Let c be (s/1 - -1) + 2. Suppose -2*f = -23 - c. Is f a composite number?
False
Let b = -4 - -4. Let q be (b + 1)*(2 + -1). Let a(i) = 35*i**2 - i + 1. Is a(q) composite?
True
Suppose 3*w = -5*g + 1046, 2*g - 2*w - 118 = 310. Is g composite?
False
Let m = 106 + 143. Suppose -2*i + 0*i + 5*j = -126, 4*j = -5*i + m. Is i a composite number?
False
Suppose -3*k + 3*z = -0*k + 216, 2*z - 69 = k. Is 5/(k/(-9))*10 prime?
False
Let b be 3/12 + (-169)/4. Let p = b + 93. Is p prime?
False
Suppose p + 4*o - 7 = 0, -5*p + 4*o + 16 = 5*o. Suppose z + 2*z + 5*f - 8 = 0, -5*z + 2*f = -p. Is 1*-49*z*-1 a composite number?
True
Suppose -4 = -3*s + 2*s. Suppose j + 472 = s*n, 0 = -n + 3*n + 3*j - 250. Is n composite?
True
Suppose -4*a = -7 + 3. Let l be (-273)/(-9) + a/(-3). Suppose -3*g - l + 189 = 0. Is g prime?
True
Is 3364/5 + (-6)/(-30) a prime number?
True
Let j(s) = s**3 + s**2 - 7*s + 7. Is j(6) a composite number?
True
Let o = 3533 - 2172. Is o a composite number?
False
Let h = -290 - 316. Is h/(-5) - 7/35 a prime number?
False
Let s(u) = -u + 1. Let y(a) = 22*a - 7. Let c(l) = 3*s(l) + y(l). Let h = -6 + 9. Is c(h) a prime number?
True
Let a(n) = n**3 - 4*n**2 - 4*n - 6. Let k be a(5). Let w be -36 + (-2)/4*-4. Is 1 + (k - (w + -1)) composite?
True
Let h(j) = -6 - 7 + 3*j - 7*j - 2*j. Is h(-14) a composite number?
False
Let x be 0/(16/(-4) - -2). Let v(s) = s**3 - 2*s**2 - 2*s + 2. Let t be v(3). Suppose x*p = t*p - 70. Is p a prime number?
False
Let h be (-1)/(-2) - 1/(-2). Let v(b) = 80*b**2 - 2*b + 1. Is v(h) a composite number?
False
Let a = 483 - 218. Suppose a = j + 4*j. Is j composite?
False
Let l(v) = -v + 17. Let k be l(11). Let u(r) = 6*r**2 - 8*r - 5. Is u(k) a prime number?
True
Let g = -17 - -29. Let w(s) be the second derivative of 11*s**3/6 + 11*s**2/2 + 2*s. Is w(g) composite?
True
Suppose -3*l - 3 = -4*k + 1, -4*k - 2*l + 4 = 0. Let f be k/(-3) - 106/(-3). Suppose -3*b = -64 - f. Is b prime?
False
Let c = -3 + -3. Is 2*(-3)/c - -114 composite?
True
Let l be ((2 - -2) + -3)*2. Is (4/2)/l + 418 a prime number?
True
Let y = -38 - -115. Suppose 4*w - 4*z + 64 = w, -4*w - 3*z = y. Let t = w + 79. Is t prime?
True
Let t be (-2)/(-8) - (-6)/8. Let x(p) = -42*p**2 - 1. Let n be x(t). Let a = 64 + n. Is a a prime number?
False
Suppose -2*a + 230 = -4*k, -4*k + 2*k - 448 = -4*a. Is a a composite number?
True
Suppose 10*u + 748 = 14*u. Is u a composite number?
True
Let p(m) = 6*m**2 - 179*m**3 - 6*m**2 - 1 + 2*m + 0*m**2. Let g be p(1). Is g/(-3) + (-4)/12 a composite number?
False
Suppose -w - 316 = -4*c + 3*w, 0 = c - 2*w - 74. Suppose 0*p - c = -3*p. Let d = -9 + p. Is d prime?
True
Let s(j) = -110*j**3 + 2*j + 1. Let g be s(-1). Suppose -m + 52 = -g. Is m prime?
False
Is (83/(-3))/((-12)/180) prime?
False
Let v = 570 + -277. Is v composite?
False
Suppose -3*f - 513 + 3144 = 0. Is f composite?
False
Let d = 646 + -311. Is d a composite number?
True
Suppose 4*b + 3*x = -154, -b = -3*x + 4*x + 38. Let z = b + 74. Is z composite?
True
Let u(w) = -8*w - 1. Is u(-4) a prime number?
True
Let u(g) = -g**3 + 3*g**2 + g - 2. Let o be u(3). Suppose -o + 8 = h. Is h composite?
False
Suppose 51 = -3*n - 2*n + 2*q, 12 = 4*q. Let s = 9 + n. Suppose s = 2*k - 4*k + 98. Is k a prime number?
False
Suppose 3*n = -0*n + 180. Let s = -38 + n. Is s prime?
False
Suppose -2*d = 4 - 2. Is 53/(-2)*2/d composite?
False
Suppose 4*v - 23 = -3*d, 3*d - 28 = -0*d - 5*v. Let r be (d + 2)*(-10)/6. Let n(h) = h**3 + 4*h**2 - 6*h + 2. Is n(r) a prime number?
True
Let v = -7 - -11. Suppose 4*i - 4*g - v = 0, 4*i + 5*g + 11 = -21. Is 49*(3/i)/(-1) a composite number?
True
Suppose -2*y = -32 - 56. Let n = y - 23. Is n a composite number?
True
Let l(k) = k**3 - 5*k**2 + 5*k - 6. Let u be l(5). Let x = u + 0. Is x composite?
False
Let d = -2 + 5. Suppose 564 = d*m + m. Is m composite?
True
Suppose 0 = 3*y + 4*f - 45, -64 = -4*y - 0*f - 4*f. Is y composite?
False
Suppose 4*q + 6 = 490. Suppose 8 = 4*p, -4*p + q = b - 5*p. Is b composite?
True
Let n be (25/(-4))/(2/(-24)). Is n/(-12)*(-2 + -2) composite?
True
Suppose z = -5*p + 9 - 1, -2*p - z = -2. Suppose -2*f = p*f - 812. Is f a composite number?
True
Suppose 0 = -2*m - m + 5*r - 3, 4*m - 3*r - 7 = 0. Suppose 5*l = -i + 3*i - 32, m*l - 25 = -3*i. Is i a composite number?
False
Let o(c) = -c**3 - 5*c**2 + 3*c + 5. Suppose -5*t + 0*t + 15 = 0. Let l(s) = s**2 - 4*s - 3. Let a be l(t). Is o(a) a prime number?
True
Suppose -20 = -3*v + 7*v. Let f(t) = 2*t**2 + 6*t + 6. Is f(v) prime?
False
Let c = -10 + 13. Let y(z) = 12*z**2 - 4*z + 1. Is y(c) a composite number?
False
Let v = -19 + 27. Let k(c) = -c**3 + 8*c**2 + 6*c - 11. Let a be k(v). Let q = -26 + a. Is q a prime number?
True
Is 1/3 - (6240/(-18) + 8) a composite number?
True
Suppose 0*b = 2*b - 1006. Is b a prime number?
True
Let z be 48/(-21) - 4/(-14). Let i be (4/z)/(2/(-9)). Suppose -5*v = -6 - i. Is v composite?
False
Suppose -3*v - 48 = -204. Let j = -15 + v. Is j composite?
False
Let q(u) = u + 17. Let f be q(-13). Suppose -f*z + 42 = 2*z. Is z a prime number?
True
Suppose 26 = 6*x - 2*x + 2*f, 0 = 4*x + 3*f - 31. Suppose -2*t - 4*i = -x - 6, 3*t - 3*i - 51 = 0. Is t composite?
False
Suppose -k + 10 = -3*u, -2*k + 3*u = 3*k - 62. Let y(f) = -f**3 + 12*f**2 + 16*f - 16. Is y(k) a prime number?
True
Let i(b) = 5*b**3 - b**2 - b. Let l be i(-1). Let j(y) = -4 - 4*y**3 - 8*y - 11*y**2 + 3*y**3 + 5*y**2. Is j(l) prime?
True
Let c be 191 + 1 + 0/(-2). Let l(x) = x**2 + 6*x - 2. Let p be l(-7). Suppose -c = -p*s - 17. Is s composite?
True
Let g be 2*1/((-6)/9). Let k = g + 3. Suppose y + 2 - 6 = k, d - 2*y - 11 = 0. Is d prime?
True
Let w(h) = h**3 - h**2 + h - 4. Let r be w(0). Let k be 1/r + (-18)/(-8). Is -1 - 0 - -56*k a prime number?
False
Is (635/(-10))/(-1)*2 prime?
True
Suppose u - 29 = -4*s, -s - 2*u + 5 = -4*u. Let m = -5 + s. Suppose -2*t + 4*v
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 3*j - 5. Let q be m(2). Sort -8, 4, q in descending order.
q, 4, -8
Suppose -3*b + 8*b - 30 = 0. Let z be b/(-4)*12/45. Let q(n) = -n**2 + 8*n - 10. Let i be q(7). Sort z, i, 7 in descending order.
7, z, i
Let z = -10826 + 10823. Suppose 5*b = 3*b. Sort z, b, -1, 2 in descending order.
2, b, -1, z
Let r = -2.02 - -0.02. Let t = 3 - -63. Let j = t - 65.9. Sort 3/5, j, r in increasing order.
r, j, 3/5
Let o = -9 - 5. Let t = 10527/8 - 1316. Sort 3/7, o, t.
o, t, 3/7
Let w = -37.8 - -38. Let m(q) = -q**3 + 15*q**2 - 13*q - 9. Let x be m(14). Sort -4, x, w in ascending order.
-4, w, x
Let v = -16 + 14.5. Let b = v - -1. Sort 2/5, -4, b in increasing order.
-4, b, 2/5
Let x(w) = 60*w - 178. Let p be x(3). Put -5/3, -2/67, -2, p in decreasing order.
p, -2/67, -5/3, -2
Let o = -2.6 + 4. Let x = -3.4 + o. Let p be -2*(-2)/(-46)*-1. Sort x, 1/4, p in descending order.
1/4, p, x
Let v be 20/(-6) + 1*4. Let j = 250 - 247. Sort j, v, -5, 0.1 in decreasing order.
j, v, 0.1, -5
Let m = 7 - 9. Let i be (4/3)/(m/6). Let s = 0 - 3. Put -5, i, s in ascending order.
-5, i, s
Let o be 9 + -15 - 28/(-4). Sort 267, -1, 5, o in descending order.
267, 5, o, -1
Let t be (12/(-30))/(((-7)/100)/(-7)). Put t, -1, -2 in ascending order.
t, -2, -1
Let w = -21 - -24.62. Let q = -0.62 + w. Sort -2/5, q, -0.2 in ascending order.
-2/5, -0.2, q
Let s = 0.1 + -0.6. Let a = -2.2 - s. Let j = 1.3 + a. Put 0.5, -3, j in descending order.
0.5, j, -3
Suppose 26 = 13*m - 13. Put 20, -2, -1, m in descending order.
20, m, -1, -2
Let t = 2492 - 12459/5. Put t, 1, -182 in descending order.
1, t, -182
Let u = 764/435 - -56/87. Sort -2/5, u, 3.
-2/5, u, 3
Let p = -2.3 - 0.7. Let i = -7 - p. Let f = 422 - 421. Put 1/3, f, i in decreasing order.
f, 1/3, i
Let c(j) = j**2 + 3*j - 5. Let b be c(-9). Let i = b + -54. Put -1, 5, i, 2 in decreasing order.
5, 2, -1, i
Let m(a) = -4*a**3 - a**2 - 3*a - 2. Let g be m(-1). Suppose 0 = -0*r + 5*r - x + 23, 0 = -g*r + 3*x - 14. Sort r, -0.04, -0.4 in decreasing order.
-0.04, -0.4, r
Suppose 3 = 2*g + g. Let s = 5 - g. Let x = -53 + 51. Sort -4, x, s in decreasing order.
s, x, -4
Let m be (-30)/54 + (-2)/(-6). Let u = 17 - 19. Sort m, 1/2, u in ascending order.
u, m, 1/2
Suppose 9*b - 13 = 12*b - j, 5*b + 23 = 2*j. Put -2, 0.16, b in ascending order.
b, -2, 0.16
Let g be (-3)/(-15)*27 + (-15)/3. Let l = -5.3 - -4.8. Put 5, g, 2, l in decreasing order.
5, 2, g, l
Let o = 2.6 - -0.4. Sort -3/2, o, -1, 0.2 in decreasing order.
o, 0.2, -1, -3/2
Let y be (2/1 - 2)/(4 + -5). Suppose 2*v + 2 = 2*m + 3*v, y = 3*m + 2*v - 4. Put -1, m, 6 in descending order.
6, m, -1
Suppose 2*y + 2*s = 4, -4*s = -s. Suppose 4*x + 4*l = -24, y*x - 5*x + 2*l = 8. Suppose 0 = -9*c + 4*c + 35. Sort x, c, 1 in ascending order.
x, 1, c
Let r = 1529/7 - 218. Let a = -4.021 + 0.021. Sort -2, a, -0.5, r in descending order.
r, -0.5, -2, a
Let v be (141/188)/((-6)/16). Sort v, 1, 17, 5 in decreasing order.
17, 5, 1, v
Let a be 0 + (11 - -1)/3. Suppose 2 = -4*m - 5*n + a, -3*n = 3*m - 3. Suppose -3*u + 7 = l, -5*l = -3*l - u - 7. Put -2/11, m, l in descending order.
l, m, -2/11
Suppose 49*i + 55 = -141. Put i, -115, -3 in ascending order.
-115, i, -3
Let b be (7 - (3 - -3)) + 4. Put b, 9, 0 in decreasing order.
9, b, 0
Let i = 49.1 + -68. Let j = i - -6.9. Put -3, 0.3, j in ascending order.
j, -3, 0.3
Let j(b) = b**3 - 5*b**2 - b + 1. Let w be j(5). Let z be 32/(-4)*(-2)/w. Let x = -0.1 + 0.5. Put x, z, -3/2 in descending order.
x, -3/2, z
Let y be (-15)/6*(-48)/(-40) - 2. Let n be 7 - (-1 + 0 - 0). Suppose -m = 5*b + n, 2*m - 2 = -8. Sort y, 4, b.
y, b, 4
Let w = -241.94 + 242. Sort -11, w, -0.3 in descending order.
w, -0.3, -11
Let u = -77983/29 + 2689. Sort 0, -4, 0.32, u.
-4, u, 0, 0.32
Suppose 0 = -3*n - 2*n + 20. Suppose -2*o = 3*o - 75. Let h be (-2)/(-6) - (-40)/o. Sort n, -2, h in descending order.
n, h, -2
Let a = -754 - -749. Sort a, 2, 1.9, 2/3.
a, 2/3, 1.9, 2
Let y be -37 + 34 + (-1 - -9). Sort y, 0, -20.
-20, 0, y
Let f(l) = 3*l - 4. Let n be f(3). Suppose -1 + 9 = 4*y. Suppose y*u + u + 3 = 0. Put u, 2, n in ascending order.
u, 2, n
Let q be 1 - (-1 + 5) - 0. Suppose -5*j - 8 = -3. Sort 3, j, q.
q, j, 3
Let y(z) = z - 1. Let d be y(7). Suppose -w = 5*w. Put d, w, -2 in ascending order.
-2, w, d
Suppose 0 + 100 = 20*h. Put 3, 4, h in descending order.
h, 4, 3
Let f(p) = p**3 - 10*p**2 + 3*p - 19. Let d be f(10). Suppose 4*c + d = 3. Put 5, c, 3, 1 in descending order.
5, 3, 1, c
Let j(v) = v + 17. Let d be j(-5). Let x be d + 3/9*0. Suppose 0 = -3*o - 3*i + i + x, 0 = 4*o - 5*i - 16. Put 0, 2, o in decreasing order.
o, 2, 0
Suppose -2*q - 4*x - 8 = 0, -5*q - 4*x = -10*q + 8. Suppose l + 2*c = -5, 0 = 3*l - 4*c - 22 - 13. Put l, q, -1 in ascending order.
-1, q, l
Let j = 390 - 398. Put 4, j, 0, -3 in ascending order.
j, -3, 0, 4
Let w = -6 + 6.35. Let v = w + -0.05. Sort v, -5, 1.
-5, v, 1
Let p(b) = b**3 + 18*b**2 - 110*b + 23. Let a be p(-23). Sort 3, -3, a.
a, -3, 3
Let c(y) = -y**3 - 3*y**2 + 3*y. Let a be c(-4). Let n(i) = 65*i. Let h be n(0). Put h, 3, a, -1 in ascending order.
-1, h, 3, a
Let v be (-6)/1 - (-21 - -33 - 18). Sort v, 5, 3, -7 in decreasing order.
5, 3, v, -7
Suppose -4*f + 19 = 3. Suppose 9*a + 20 = f*a. Let u(d) = d + 4. Let g be u(0). Sort 3, a, g in decreasing order.
g, 3, a
Let l = -240.9 - -254. Let g = l - 13.1. Sort g, 1/2, 1.
g, 1/2, 1
Let q(x) = 2*x - 2. Suppose t + 5 = -0*t. Let a = 7 + t. Let p be q(a). Sort p, 1, 0 in decreasing order.
p, 1, 0
Let y = 2.1 - 15.1. Let w = y + 10. Let d = 1 - 1.4. Sort w, -1/12, d.
w, d, -1/12
Let c(b) = -b + 4. Let k be 4 - 8 - (-42)/2. Let w = k + -10. Let u be c(w). Sort -1, 0, u.
u, -1, 0
Suppose j = 6*j. Suppose -5*k = -j + 20. Let m = 0.0675 + -0.4675. Sort k, -5, m in descending order.
m, k, -5
Let b be (4 + 55/(-15))/(2/12). Let w(k) = -k + 2. Let c be w(8). Sort 4, c, b, -2.
c, -2, b, 4
Let d = -2.46 - -2.1. Let g = -0.04 + d. Let p = -0.64 - -0.64. Put -0.1, p, g in descending order.
p, -0.1, g
Suppose -81*k + 84*k - 6 = 0. Let s be 6 + -2*1/k. Sort 2, s, -6, -3 in ascending order.
-6, -3, 2, s
Suppose 16 = 11*u - 7*u. Suppose -u*o + o = 0. Let n = 7 + -10. Sort n, -4, o in descending order.
o, n, -4
Let m(d) = -d**2 + 8*d - 3. Let k be m(0). Sort 3, -2, k in descending order.
3, -2, k
Let k be (32/(-48))/((-2)/(-6)). Put k, 24, 3, -1 in increasing order.
k, -1, 3, 24
Let q = -1.284 - -0.984. Put 28, -3/2, q in increasing order.
-3/2, q, 28
Let k = -7.17 - -6.9. Let h = k - -3.27. Let j = 0.3 - -0.7. Sort h, -1, j in decreasing order.
h, j, -1
Let r = 0.03 + 0.07. Let h = -802/5 - -161. Put r, -1, 7, h in descending order.
7, h, r, -1
Let t = -218.01 + 217. Let i = -1.11 - t. Sort i, 0.1, 6/11 in descending order.
6/11, 0.1, i
Let n be 5/(15/(-12)) + 3. Suppose 12*r + 130 = 38*r. Sort -3, 4, n, r in ascending order.
-3, n, 4, r
Let l = -24 + 12. Let p be (l/8)/(1/(-2)) + 4. Sort p, -1, 5, -5 in descending order.
p, 5, -1, -5
Let c = -4/17 - -96/119. Let z = 0 + 0.1. Let m = z + -0.3. Sort 0.1, c, m.
m, 0.1, c
Suppose 0 = 6*f + 1619 - 1619. Let q(b) = b**3 - 5*b**2 - 8*b - 2. Let o be q(6). Put o, f, 3 in descending order.
3, f, o
Let r = -3.2 - -3.6. Sort 5, r, -3.
-3, r, 5
Suppose 3*o - 2*o - 2 = 0. Suppose 2*c - 3*g - 9 = -0*c, 4*c + o*g = -6. Suppose -4*d - 7*y + 3*y + 40 = c, -3*y = -15. Put -3, d, -6 in increasing order.
-6, -3, d
Suppose 0 = 4*y - 0 - 12. Let z = 635 - 625. Put z, y, -4 in ascending order.
-4, y, z
Suppose -9 - 3 = -3*p. Let k = 1954/64605 - -4/1095. Sort p, k, 2, -0.1.
-0.1, k, 2, p
Let y = 0.6 - 0.5. Let i = 356 + -359. Put -0.4, i, y, -0.3 in increasing order.
i, -0.4, -0.3, y
Let c be (4/2*-1)/1. Let f be 8 - (-2 - (-8 - -4)). Let d be (2/f)/((-7)/21). Sort 2, c, d in descending order.
2, d, c
Let s(o) = o - 11. Let r(y) = y - 11. Let m(p) = 4*r(p) - 3*s(p). Let l be m(10). Let n(j) = -j**2 + j + 1. Let a be n(l). Put -3, 4, a in ascending order.
-3, a, 4
Suppose 2*b = x - 8, -2*x - 3*x = -4*b - 10. Let g(l) = l - 22. Let t be g(10). Let y be t/45*5/2. Sort y, x, -0.7 in descending order.
y, -0.7, x
Let n = -9/2707 - -10873/13535. Let p = 2 - 3. Sort n, -0.5, p in increasing order.
p, -0.5, n
Let n = -7 - -16. Put 6, -5, n in decreasing order.
n, 6, -5
Suppose 0*h + 3
|
{
"pile_set_name": "DM Mathematics"
}
|
d) = -d**2 + 15*d - 7. Give u(x).
49
Let y(i) = i**3 - 7*i**2 + 13*i - 4. Let v(u) = -4*u**2 + 2*u + 1. Let k(x) = 3*v(x) + y(x). Calculate k(18).
17
Let h(g) = 21*g - 15. Suppose 7 = 23*q - 24 + 8. Give h(q).
6
Let o = -1375 + 1387. Let a be (-30)/4*(-8)/10. Suppose -o = -a*s + 6. Let w(c) = 4*c + 3. Give w(s).
15
Let k(q) = 4*q - 114. Let t be k(30). Let u(v) = v**3 - 10*v**2 + 8*v + 2. Let p(w) = w**3 - 9*w**2 + 7*w + 2. Let z(l) = -3*p(l) + 2*u(l). Give z(t).
4
Let d(x) = -15*x**2 + 3 + 7*x + x**2 + 19*x**2 - 7*x**2 - 2*x. Calculate d(-3).
-30
Let f(z) be the third derivative of -z**4/8 - 19*z**3/2 + 2457*z**2. Calculate f(8).
-81
Let u(v) = -v**3 + 8*v**2 + 33*v + 1. Let r(d) = 13*d**2 - 126*d + 173. Let t be r(8). Calculate u(t).
1
Let y(i) = i**3 - 9*i**2 + 4*i + 3. Suppose -233*j = 69*j - 43*j - 1295. Determine y(j).
-77
Let t(u) = 37 - 66 - 55 - u**2 + 13*u - 32*u. Let a be t(-11). Let m(y) = 13*y - 4. What is m(a)?
48
Suppose -394 = 23*f - 371. Let l(u) = -u. Let y(b) = -3*b + 2. Let p(d) = 6*l(d) - y(d). Determine p(f).
1
Let r(f) = -f**3 - 10*f**2 + 20*f - 13. Let y be r(-12). Suppose -5*o + y = -3*v, 4*o + 2*v - v = 11. Let l(m) = -m**2 + 2*m + 2. Determine l(o).
-6
Let i = 3630 + -3639. Let y(a) = 2*a**3 - 7*a**2 - 11*a + 11. Let o(c) = c**3 - 8*c**2 - 11*c + 11. Let t(r) = -3*o(r) + 2*y(r). What is t(i)?
-29
Let h be (8 + 0)*123/(-492). Let d(n) = 13*n**2 + 5*n + 6. What is d(h)?
48
Let h(u) = 16*u**3 + 10*u**2 + 12*u - 4. Let k(x) = 11*x**3 + 11*x**2 + 11*x - 3. Let t(z) = -2*h(z) + 3*k(z). Calculate t(-12).
35
Let q(x) = -3*x**2 + 19*x + 9. Let j(d) = -4*d**2 + 28*d + 14. Let k(z) = -5*j(z) + 7*q(z). Let m be (-2)/6*((-72)/9 + 23). Determine k(m).
3
Let x be (5 - 8) + (-8 - 7)/(-5). Let p(y) be the first derivative of -y - y**2 + x*y**3 + 3/2*y**4 - 2. Determine p(-1).
-5
Let s(i) = i**3 - 5*i**2 + 9*i + 5. Let p(k) = -6*k**3 + 34*k**2 - 55*k - 32. Let q(a) = -2*p(a) - 13*s(a). Determine q(-4).
43
Let z(r) = 13*r**2 + 23 - 22*r - 11*r**2 + 5*r - 28. Calculate z(9).
4
Let p be ((3/(-4))/1)/(-1 - (-33)/36). Let j(z) = -z**2 + 9*z + 17. Determine j(p).
17
Let j(g) = -5*g - 57. Let r be j(-12). Let f(s) = 5*s**3 - 15*s**r - 2*s - 8*s**2 + 10 + 6*s**3 + 5*s**3. Give f(8).
-6
Let w be ((-6)/(-33))/((-1212)/(-132) + -9)*0. Let m(p) = -4*p - 9. Give m(w).
-9
Let p be ((-1100)/(-770))/((-20)/(-84)). Let k(x) be the first derivative of -x**4/4 + 5*x**3/3 + 5*x**2/2 - 3*x + 1. What is k(p)?
-9
Let v(z) be the first derivative of 15*z**2/2 - 45*z + 392. Give v(2).
-15
Let h = 708 - 696. Let q(o) = 9*o - 105. What is q(h)?
3
Let i(j) = -j**3 + 2*j**2 + 2*j - 4. Let x = 1801 - 1216. Let g be x/52 - 1/4. Let o = -8 + g. Determine i(o).
-7
Let q(s) = s**2 - 6*s + 3. Suppose -4*n + 316 = 2*g, -2*g - n + 597 = 2*g. Suppose -27*y + 14 = -g. Calculate q(y).
3
Let n(l) = -l**3 + 55*l**2 + 11*l + 57. Let m be n(55). Let u(f) = f - 664*f**2 - m*f**2 + 1321*f**2 + 1. Calculate u(2).
-17
Suppose -2*m + x = -7*m - 15, x = 3*m + 17. Let q be (m - -5)/((-4)/4). Let t(d) = -14*d - 1 + 3 - 3. What is t(q)?
13
Let w(u) = -51*u + 1427. Let i be w(28). Let o(q) = -19*q**2 - 3*q - 2. What is o(i)?
-18
Let y(g) = -3*g + 65. Let x be y(26). Let r(k) be the second derivative of k**3/6 + 13*k**2/2 - 20*k - 4. Determine r(x).
0
Let j(q) be the third derivative of -q**8/20160 + q**7/5040 - q**6/360 + 57*q**5/20 - q**2 + 52. Let h(a) be the third derivative of j(a). What is h(-2)?
-8
Let i = -3 + 9. Let j(l) = 100*l**2 - 8*l - 18. Let b(k) = 167*k**2 - 15*k - 34. Let z(c) = -3*b(c) + 5*j(c). What is z(i)?
6
Suppose 3*m = -5*o - 67, -388*o + 12 = -385*o - 4*m. Let k(x) be the third derivative of x**6/120 + 7*x**5/60 - 7*x**4/24 + 5*x**3/6 + x**2. Calculate k(o).
-3
Suppose -2*d = -5*d - 2*p - 1, -d + 2*p + 13 = 0. Let j(u) = -u - u + 3 - 2*u**2 + 12*u**d + 0*u - 13*u**3. Determine j(-3).
18
Let p(n) = n + 30. Let i = 1696 + -1704. What is p(i)?
22
Let v(z) = -421825*z**2 - 421855*z**2 - 17 + 843717*z**2 + 10*z + 3*z**3. Calculate v(-12).
7
Let a = 1 + -1. Suppose -2*l + a*l = 0. Let m(s) = -s**2 + 19*s + 19. Let k(d) = -d**2 + 16*d + 16. Let i(g) = 6*k(g) - 5*m(g). Calculate i(l).
1
Let p(t) be the first derivative of -t**2 - t + 1. Let h = -233 + 230. Let n(m) = 10*m + 6. Let f(r) = h*n(r) - 14*p(r). What is f(5)?
-14
Let h(f) be the third derivative of 0 + 0*f**5 + 0*f**4 - 1/6*f**3 + 0*f + 29/120*f**6 + 90*f**2. Calculate h(1).
28
Suppose -428 = -174*t + 1834. Let o(l) = -9*l + 65. Determine o(t).
-52
Let a be (12/3)/((-3)/(18/(-24))). Let t(u) = -4 + 8 - 55*u**3 - 3 - 2*u**2. Calculate t(a).
-56
Let g(k) = 5*k**3 + 7*k**2 - 19. Let j(n) = 14*n**3 + 19*n**2 - 59. Let b(r) = 11*g(r) - 4*j(r). Let t = 2 - 2. What is b(t)?
27
Let r(n) = 33*n - n**2 - 8*n**2 + 0*n**2 - 31*n + 13 + 8*n**2. Give r(-5).
-22
Let s be ((-7)/(-3))/((-3)/(-9)). Let a(r) be the third derivative of -1/24*r**4 + 0*r + 0 + 14*r**2 + 1/2*r**3. What is a(s)?
-4
Suppose -3*h + 24 = 2*t, -t - 2*h = t - 24. Suppose 0 = -11*u + 7*u + t. Let l(v) = -1 + 5 - 2 + 3*v. Determine l(u).
11
Suppose 62*w - 84*w = 66. Suppose -6 = -5*o + 4*q - 3, 0 = o + q - 6. Let x(f) = f**2 - f - 2 + 3*f + o*f**2 - 3*f**2. Calculate x(w).
1
Suppose -32*m + 9 = -35*m. Suppose 0 = 17*k - 13*k - 8. Let v(w) = -1 + 2 - 4 + 2*w**k - w**2. What is v(m)?
6
Let c be 18/(-2)*(-19 + 8). Let d = c - 106. Let r(j) = 25 - j**2 - 3*j - 5*j - 32. Calculate r(d).
0
Let x(j) = -20*j**3 - 4*j**2 - 13*j - 18. Let l(y) = -3*y**3 - y**2 - 2*y - 3. Let a(h) = 6*l(h) - x(h). Let d = 1 - 1. Let g = d - -2. Calculate a(g).
10
Let b(y) = 13*y + 62. Let h be b(-4). Suppose -6 + 26 = h*l. Let o(k) = 10*k + 2. Give o(l).
22
Let f(j) = 2*j**2 - 6*j. Let x(c) = 4*c**2 - 27*c + 10. Let l(g) = f(g) + x(g). Calculate l(5).
-5
Let p = -528 - -531. Let k(j) = 3 - 10 + 8 + p*j + 0. Calculate k(3).
10
Suppose 0*r + 15 = -2*q - 5*r, 0 = -3*q - 4*r - 12. Suppose 3*z - z = q. Let k(h) be the third derivative of -h**4/24 - h**3/6 - h**2 - 1221*h. Calculate k(z).
-1
Let z(h) = -747*h + 7462. Let c be z(10). Let v(p) be the second derivative of p**4/12 + 3*p**3/2 + 5*p**2 + p. Give v(c).
2
Let q(n) = 141*n + 270. Let x(m) = 52*m + 91. Let s(i) = 3*q(i) - 8*x(i). Determine s(-13).
-9
Let s(c) = -c - 5. Let w be s(0). Let o(a) be the first derivative of -155 - 6*a + 1/2*a**2. What is o(w)?
-11
Let q(v) = -47177 + 23602 + 23591 + 14*v. Calculate q(-5).
-54
Let l(h) = -4 - h**3 + 2 - 19*h + 20*h - 7*h**2. Suppose 15*z = -17 - 73. Give l(z).
-44
Let t(x) = -11140 + 22236 + x**2 - 11177 - 4*x. What is t(14)?
59
Let v(r) = 20*r - 396. Suppose -m + i = -24, -3*i - 20 + 48 = 2*m. What is v(m)?
4
Let o(w) = 9*w**2 + 2*w - 6. Let b(r) = -54*r + 57. Let j be b(1). Calculate o(j).
81
Suppose -4*k = -2*k + 8. Let j(m) = -11*m**3 + 19*m**2 + 3*m - 17. Let q(s) = -25*s**3 + 44*s**2 + 7*s - 39. Let g(r) = -16*j(r) + 7*q(r). Determine g(k).
-5
Let v(z) = -16*z. Let j be (-2)/(-1) - (2 + -2 + -2). Suppose f + j*f = 735. Suppose f*q = 149*q - 2. Determine v(q).
-16
Suppose 125*z - 297 = 122*z. Let i = -79 + z. Let r(s) = -16 + 42 + 5*s**2 - i - s**3 + 7*s. Calculate r(6).
12
Let h(l) = -l - 1 + 0*l - 4. Suppose 0 = 3*a + 9, -3*w + 0*a - 2*a + 231 = 0. Let n = w - 73. Determine h(n).
-11
Let k(r) be the first derivative of r**3/3 + 11*r**2/2 - 9*r - 188. What is k(-15)?
51
Let t be ((-14)/5 - -2)/((-2)/15). Suppose n = 2*g - 6, -3*n - 10 - t = -4*g. Let u be -14*g/2 + 1. Let i(h) = h**2 + 3*h - 6. Determine i(u).
12
Suppose -p = 2*f + 2, 4*p + 2 = 5*f + 3*p. Let u(t) be the third derivative of 12*t - 1/3*t**3 + 1/60*t**5 - 2*t**2 + 1/24*t**4 + 0. Determine u(f).
-2
Let h(v) = 19*v**2 - 31*v + 3. Let j(s) = 29*s**2 - 47*s + 4. Let o(u) = 8*h(u) - 5*j(u). Let z be o(2). Let i(t) = t**2 - 7*t + 7. Calculate i(z).
1
Suppose 4*x = -6*l + l - 2, x - 8 = 3*l. Let r(d) = 12*d + 10*d - 9 - 14*d - d**x. Determine r(7).
-2
Let s = -7 + 3. Let t be 1/5 - s/5. Let h(g) be the first derivative of -g**3/3 + g**2/2 + 832. Give h(t).
0
Suppose 171*f - 235 = 166*f. Suppose -8*r + f + 25 = 0. Let p(q) = -q**3 - 5*q + r - 4 - 7*q**2 - 2 - 2. What is p(-6)?
-5
Let t(r) = r**2 - 4*r - 1. Let q(d) = -d**3 - 21*d**2 - d - 16. Let v be q(-21). Let l(h) = -10 - v*h - 3 - 2*h - 2*h. Let x be l(-2). Calculate t
|
{
"pile_set_name": "DM Mathematics"
}
|
*z**3 + 4*z
Let n(m) = m**2 - 12*m - 6. Suppose -p + 18 = 2*u - 6, -48 = -4*u + p. Let x be n(u). Let a(v) = -v. Let q(j) = 7*j + 1. Determine x*a(i) - q(i).
-i - 1
Let d(i) be the first derivative of -i**4/4 - i**2/2 - 3*i + 1. Let y(c) = 1920*c - 3 + 4 - 964*c - 957*c. What is d(m) + 2*y(m)?
-m**3 - 3*m - 1
Let u(x) be the first derivative of -7*x**2/2 - 261. Let r(z) = 168*z. Give -2*r(g) - 49*u(g).
7*g
Let n(c) = 117*c**2 - 10*c - 2. Let k(v) = 2807*v**2 - 245*v - 49. Give -6*k(s) + 147*n(s).
357*s**2
Let z(l) = 2*l**3 - 2*l**2 - 2*l + 2. Suppose 134*k + 230 = 88*k. Let f(g) = -3*g**3 + 5*g**2 + 5*g - 5. Give k*z(x) - 2*f(x).
-4*x**3
Let v(x) = 11*x + 7. Let f(s) = 2*s + 1. Let d(y) = 10*f(y) - 2*v(y). Let b(c) = -2*c - 3. Let l = -6 - -12. Determine l*d(n) - 7*b(n).
2*n - 3
Let c(o) = -3*o - 2*o**2 + 2*o + o**2 - 1. Let u(z) be the second derivative of z**4/4 + 2*z**2 + 6*z. Let n = 294 + -296. Give n*c(h) - u(h).
-h**2 + 2*h - 2
Let g(c) = -3*c**2 - 38*c + 2. Let a(r) = -2*r**2 - 39*r + 2. Calculate 4*a(j) - 3*g(j).
j**2 - 42*j + 2
Let z(v) = 4*v**3 - v**2 + 5*v. Let i(w) = 5*w**3 - w**2 + 6*w. Suppose 26 = p - 4*u, -2 = -3*u - 17. What is p*z(c) - 5*i(c)?
-c**3 - c**2
Let n(u) = u + 4. Let h(f) = -f + 1. What is -5*h(g) - n(g)?
4*g - 9
Let s(z) = -4*z + 2. Let n(f) = -f - 3. Let q be n(-8). Let w(l) = -18*l + 35*l + 2 - 20*l. Give q*s(x) - 6*w(x).
-2*x - 2
Let o(q) = 2 - 3*q + 154*q**2 - 465*q**2 + 155*q**2 + 157*q**2. Let j(u) = u**2 - 4*u + 3. What is 4*j(m) - 5*o(m)?
-m**2 - m + 2
Let o(g) = 5*g + 10*g - 3 - 2*g**2 - 18*g. Let d(a) = -22*a**2 - 34*a - 34. Determine -6*d(w) + 68*o(w).
-4*w**2
Let j(r) = 7*r + 2. Let n(f) = 20*f + 5. Let x be 8*8/(-16) - -21. What is x*j(q) - 6*n(q)?
-q + 4
Suppose 6*q - 8*q = -4. Let a be (11/q)/(-11)*2/(-1). Let w(f) = -f + 1. Let j(i) = 0 - 1 + 7*i - 6. Calculate a*j(m) + 6*w(m).
m - 1
Suppose -2*h = -3*r + 13, 2 = r + 5*h - 8*h. Let s(n) = -9*n - 7. Let f(w) = -4*w - 4. Calculate r*f(m) - 2*s(m).
-2*m - 6
Let r(t) = t**2 + 2*t. Let y(x) = -12*x**2 - 18*x. Let f(n) = -9*r(n) - y(n). Let z(d) = d**2. Calculate -f(m) + 6*z(m).
3*m**2
Let d(n) = n**3 + n**2 - 2*n. Let q(p) = p. Let a(s) = d(s) + 2*q(s). Let u(z) = -6*z**3 - 5*z**2. Suppose -1 = 11*b - 12*b. Calculate b*u(y) + 5*a(y).
-y**3
Let q(c) = 21*c**3 - 2567*c**2 - 11*c + 27. Let u(w) = -4*w**3 + 513*w**2 + 2*w - 5. Calculate -2*q(o) - 11*u(o).
2*o**3 - 509*o**2 + 1
Let h(f) = 3*f - 69. Let j be h(24). Let y(r) = r**2 + 2*r. Let k(v) = 2*v**2 + 2*v + 1. Determine j*y(u) - 2*k(u).
-u**2 + 2*u - 2
Let y(k) = 7*k**2 - 2*k - 1. Let l(m) = -7*m**2 + 3*m + 1. Give 4*l(o) + 5*y(o).
7*o**2 + 2*o - 1
Let u(j) = -2*j**2 + 13*j + 11. Let l be u(7). Let c(o) = 0 + 7*o**2 - l + 515*o - 519*o. Let d(w) = -8*w**2 + 5*w + 5. Calculate 5*c(r) + 4*d(r).
3*r**2
Let z(l) = 35 + 11*l**2 - 18*l - 73 + 34 + 13*l**3 + 3*l. Let b(c) = -7*c**3 - 6*c**2 + 8*c + 2. Determine 11*b(j) + 6*z(j).
j**3 - 2*j - 2
Let j(c) = 9*c**2 + 2*c - 2. Let f(w) = -64*w**2 - 10*w + 13. What is 2*f(k) + 15*j(k)?
7*k**2 + 10*k - 4
Let c(u) = 39*u**3 + 6*u**2 - 6*u. Let x(m) = 39*m**3 + 5*m**2 - 5*m. Calculate 5*c(b) - 6*x(b).
-39*b**3
Let x(f) = 2*f - 9 + 2 + 5 - f**2. Let q = -10 + 24. Let o(m) = 3*m**2 - 7*m + 7. What is q*x(a) + 4*o(a)?
-2*a**2
Let o(n) = -7*n - 7. Let q = 5 - 11. Let l be 9/q*(-20)/6. Suppose 0 = -0*u - l*u + 25. Let g(a) = -4*a - 4. Give u*g(r) - 3*o(r).
r + 1
Let l(n) = 3*n + 2. Let b = 762 + -757. Let y = 2 - 1. Let v(h) = -1 - 4*h - 2 + 0 + y. Calculate b*l(m) + 4*v(m).
-m + 2
Suppose -2*a = -4*a - 3*r + 3, -2*r - 3 = 3*a. Let q(h) = -3*h + 5. Let y(l) = -3*l + 4. Suppose -6 = -16*n + 13*n. Give a*y(t) + n*q(t).
3*t - 2
Let i(z) = -65*z**3 + 45. Suppose 3*t = -5*n + 12, -2*t + 48 = n + 40. Let o(h) = 3*h**3 - 2. Give t*i(x) + 90*o(x).
10*x**3
Let l(r) = -6*r**2 - r + 6. Suppose 45 = -3*u + 3*g, 4*u - 3 = 3*u - 5*g. Let m be ((16/u)/2)/(1/6). Let h(t) = 13*t**2 + 3*t - 13. Calculate m*h(o) - 9*l(o).
2*o**2 - 3*o - 2
Let z(t) = -5*t**3 - 4*t**2 - 3*t - 2. Let v(f) = 4*f**3 + 3*f**2 + 2*f + 1. Suppose 11*m = -846 + 868. Calculate m*z(p) + 3*v(p).
2*p**3 + p**2 - 1
Let r(x) = x**3 + 19*x**2 - 7*x + 11. Let z(o) = -o**3 - 11*o**2 + 4*o - 5. Calculate -4*r(q) - 7*z(q).
3*q**3 + q**2 - 9
Let z(d) = 259185*d - 925. Let f(j) = 561*j - 2. Calculate 925*f(p) - 2*z(p).
555*p
Let c(f) = f - 1. Let k(p) = 145*p - 2. Calculate 3*c(g) - k(g).
-142*g - 1
Let f(o) = -o**2 - o. Suppose 5*n - 1 - 9 = 0. Suppose 2*a = -2*p + p - 43, 4*a = n*p - 90. Let v(t) = 10*t**2 + 11*t. Give a*f(s) - 2*v(s).
2*s**2
Let l(h) = -h**3 - 3*h**2 - 2*h - 3. Let v(f) = 2*f**3 + 4*f**2 + 3*f + 2. Calculate -3*l(y) - 2*v(y).
-y**3 + y**2 + 5
Let g(w) = -15*w**3 + 10*w**2 - 10*w + 10. Let p(z) = -z**3 + 51*z**2 - 97*z - 46. Let u be p(49). Let c(o) = 5*o**3 - 3*o**2 + 3*o - 3. Give u*g(h) + 10*c(h).
5*h**3
Let a be -1 + 6 - 1*2. Let d(b) = b - 1 + a*b - 5*b. Let y(p) be the second derivative of -p**4/6 + 2*p**3/3 + 2*p**2 + 2*p - 70. Determine -4*d(q) - y(q).
2*q**2
Let y(o) = -5*o**2 - 5*o + 5. Let n(x) = -9*x**2 - 9*x + 10. Calculate 6*n(a) - 11*y(a).
a**2 + a + 5
Let k(g) = -16*g - 99. Let c(n) = -2*n + 2. Calculate 7*c(o) - k(o).
2*o + 113
Let i be 2/(-5) - (-16)/(-10). Let z(p) = 4*p - 16*p - 3*p + 5*p + 11*p. Let s(w) = w**2 - 2*w. Give i*z(r) - s(r).
-r**2
Let b(t) = -44*t**2 + 32. Suppose -4*h - 13 + 5 = 0. Let o be (2 + 32/(-12))*(-9)/h. Let v(c) = -4*c**2 + 3. What is o*b(i) + 32*v(i)?
4*i**2
Let x(d) = 3*d**2 - 4*d - 7. Let n(s) = 7 - 6 + 2*s**2 + 4 - 10 - 1 - 3*s. Determine 5*n(b) - 4*x(b).
-2*b**2 + b - 2
Let t(c) be the third derivative of -5*c**4/6 - c**3 - 2*c**2. Let x(d) = 42*d - 101. Let a be x(2). Let p(r) = 7*r + 2. What is a*p(m) - 6*t(m)?
m + 2
Let a(g) = 49*g - 4. Let p(y) = 50*y - 5. Calculate -4*a(n) + 3*p(n).
-46*n + 1
Let u(w) = -2*w**3 - 2*w - w**2 - 4 + 1 + 2. Suppose 0 = -11161*n + 11165*n + 8. Let h(d) = -2*d**3 - 2*d**2 - 3*d - 2. Calculate n*h(a) + 3*u(a).
-2*a**3 + a**2 + 1
Suppose 43*u + 91 = -38. Let w(b) = -3*b + 2. Let f(s) = 4*s - 1. Determine u*f(g) - 2*w(g).
-6*g - 1
Let z(u) = -5*u + 122. Let j(c) = 7*c - 119. Calculate -2*j(r) - 3*z(r).
r - 128
Let z(g) = -20*g**3 - 4*g**2 + 4. Let l(q) = q**3 + q**2 - 1. Calculate -24*l(o) - 6*z(o).
96*o**3
Suppose 14*p = 62 - 20. Let h(s) be the second derivative of -7/2*s**2 + 5*s + 0 - 5/12*s**4 - s**p. Let i(m) = -m**2 - m - 1. Determine h(c) - 6*i(c).
c**2 - 1
Let z(c) = -3*c**3 - 5*c**2 - c + 4. Let u(x) = 8*x**3 + 14*x**2 + 3*x - 11. Suppose -51*q + 49*q = -22. Calculate q*z(o) + 4*u(o).
-o**3 + o**2 + o
Suppose 44 - 62 = -2*i. Let y(f) = -6*f**3 - f**2 + 4*f. Let v(x) = 13*x**3 + 3*x**2 - 9*x. What is i*y(s) + 4*v(s)?
-2*s**3 + 3*s**2
Let k(p) = -2. Suppose -16 = -4*b - 4. Let d(i) = -7*i**2 - 13. Let m(v) = -4*v**2 - 6. Let z(y) = b*d(y) - 5*m(y). Determine -9*k(a) + 2*z(a).
-2*a**2
Let o(u) = u**3 + u. Let k(p) = 2*p**3 + 3*p**3 - 2*p**3 + 3 - 2 + 4*p + 4*p**2. Let x = -27 + 28. Determine x*k(l) - 4*o(l).
-l**3 + 4*l**2 + 1
Let q(i) = -39*i + 15. Let o(a) = -10*a + 4. Let w be 16/(-80) + (-84)/(-20). Determine w*q(d) - 15*o(d).
-6*d
Let z(g) = 3*g - 5. Let u(o) = o + 1. Let n(a) = -a**2 + 4*a - 5. Let i be n(2). Let h(v) = -7*v - 4. Let c(s) = i*h(s) - 6*u(s). Give 10*c(p) - 4*z(p).
-2*p
Let j(g) = -7*g**2 + 6*g - 8. Let h be j(2). Let n be (-6)/(-5)*(-5)/(-2). Let p(m) = -m - 8. Let o(k) = -1. What is h*o(i) + n*p(i)?
-3*i
Let s(t) = 5*t. Let u(h) = -56*h - 2. What is -68*s(w) - 6*u(w)?
-4*w + 12
Let k(p) = -2*p**2 - 2*p + 9. Let a(m) = -147*m + 76*m + 70*m + 4 - m**2. Give -7*a(c) + 3*k(c).
c**2 + c - 1
Let h(s) = 5*s - 1. Let x(o) be the first derivative of -o**2/2 - o + 546. Determine h(m) + 3*x(m).
2*m - 4
Let a(s) = -7*s**3 - 6*s**2 - 3*s + 6. Let w(t) = 13*t**3 + 11*t**2 + 5*t - 11. Let x = 9 - -3. Suppose -2*g + 34 - x = 0. Calculate g*a(d) + 6*w(d).
d**3 - 3*d
Let n(b) = -11*b**3 + 11*b**2 + 58*b + 10. Let a(w) = 4*w**3 - 4*w**2 - 19*w - 4. What is -8*a(j) - 3*n(j)?
j**3 - j**2 - 22*j + 2
Let w be (-132)/21 + 165/(-35) + 5. Let l(n) = n. Let x(u) = 5*u + 1. Give w*l(t) + x(t).
-t + 1
Let o(z) = -395*z**3 + 8690*z**2 - 4345. Let n(h) = -2*h**2 + 1. Give 8690*n(l) + 2*o(l).
-790*l**3
Let i(h) = -h - 3. Let f =
|
{
"pile_set_name": "DM Mathematics"
}
|
x**3 - 3*x**3 + (2 - 2 + 4*x**2)*(-2*x - 4*x + x) to m*x + l + g*x**2 + w*x**3 and give w.
-22
Express (2*h + 4*h - 4*h)*(2*h**3 - 3*h + 3*h) + 41*h**3 - 41*h**3 - h**4 + 12 as a + q*h**3 + c*h**4 + n*h + r*h**2 and give q.
0
Rearrange -l**4 - 177*l + l**3 + 186*l + 3*l**4 - 2*l**3 + 2 to the form r*l**4 + m*l**2 + u*l + j*l**3 + h and give r.
2
Express -5*s**3 + 2*s + s**4 + 0*s + 2*s**3 as u*s + c*s**4 + g + t*s**2 + y*s**3 and give t.
0
Express -3 + 9*b - 10*b + 41 + 2*b as o + n*b and give o.
38
Express 1 - 4*v**3 - 2 + 3*v**3 - 1 - v as r*v**2 + h*v + n + i*v**3 and give n.
-2
Rearrange (1 - 1 + 2)*(8*a - 8*a + a) to the form f + u*a and give u.
2
Rearrange (0 - 7 + 1)*(6*t - 2*t + 0*t)*(-5*t + 2*t + 4*t) to the form k*t**2 + q*t + y and give k.
-24
Express -2 + 4*r**3 + 2 - 22*r**4 + r + 19*r**4 as o + x*r**2 + u*r + i*r**4 + t*r**3 and give u.
1
Express -3*h**3 + 11*h**2 - 8*h - 6*h**2 + 2*h**3 as o*h + x*h**3 + p*h**2 + g and give p.
5
Rearrange 21 - 21 - 7*t**2 + (t - t - 2*t)*(4*t - 4*t + t) to the form c*t + p*t**2 + z and give p.
-9
Express 3*p - 39*p**2 + 0*p - 3*p in the form r*p + u + a*p**2 and give a.
-39
Rearrange 0 - 3*p - 4*p**3 + 0*p + p + 2 to the form r*p**3 + o*p + y*p**2 + f and give r.
-4
Express (-2 + 2 - r)*(-4*r + 2*r + 18*r)*(r - r + 3*r) in the form q*r**2 + o*r**3 + v + s*r and give o.
-48
Rearrange (2 + 3*u - 2)*(7*u**2 + 3*u - 3*u) + 0*u**3 + 0*u**3 + 2*u**3 to the form y*u + b + t*u**2 + c*u**3 and give y.
0
Rearrange 4*q - 9*q**2 + 8*q**2 - 3*q to the form t*q**2 + p*q + a and give t.
-1
Express (-9*a - 1 - 55*a + 13*a)*((-a - a + 0*a)*(2 - 3 + 3) - 4 + 4 - a) as d*a**2 + b*a + m and give d.
255
Express 15*p + p**2 - 12*p**3 - 2*p**4 + 0*p**2 + 12*p**3 as t*p + n*p**2 + w*p**4 + c + j*p**3 and give j.
0
Express 3*i**3 - 5*i**3 + 5*i**3 - 5*i**3 + 4*i**3 + 0*i**3 + (-3*i**2 + 4*i**2 - 4*i**2)*(-2*i + 3 - 3) in the form x*i**2 + b*i**3 + c + n*i and give b.
8
Rearrange -7*z**2 - 2*z**2 + z**2 to the form p + b*z + h*z**2 and give h.
-8
Express 0*i + i**4 - 7 + 8 - 2*i + 2*i**3 as p + b*i**4 + u*i + f*i**3 + m*i**2 and give f.
2
Express -90 + 33*r**2 + 90 in the form h*r + i*r**2 + j and give i.
33
Rearrange -3*i**2 + 5*i**2 - 2*i**3 - 2*i**2 - 4*i**2 to j*i**2 + h*i**3 + y + b*i and give y.
0
Rearrange (1 - 4 + 1)*(3*w - w - 43785 + 43035) to v*w + q and give q.
1500
Rearrange -7*o - 4*o - 4*o to u*o + z and give u.
-15
Rearrange (p**2 - 5*p**2 + 2*p**2)*(5*p - 5*p + 12*p) + 0*p - 2*p**3 + 0*p to b*p + s*p**2 + a + r*p**3 and give r.
-26
Rearrange -2*h**3 - 4*h + 0*h + 6*h - 3 to the form j*h**3 + w + m*h**2 + x*h and give x.
2
Rearrange 5*v + 9*v + 33*v + 8*v to k + o*v and give o.
55
Rearrange (n**2 - 1 - 191*n + 191*n)*(-8 + n + 9 - 8) to j + k*n**2 + z*n + a*n**3 and give z.
-1
Rearrange (1 + 0 - 2)*(-2*u + 3*u + 0*u)*(54 - 54 + u) to z + q*u**2 + t*u and give q.
-1
Rearrange -3 + 2*s - s**2 + 2*s**4 + 0 + 1 to the form f*s + q + d*s**4 + w*s**3 + m*s**2 and give f.
2
Rearrange 1 + 3*o**3 - 2*o**4 - 3*o**3 + (-2*o**3 + o**3 + 2*o**3)*(-32*o - 11*o + 20*o) to u*o + n*o**2 + b*o**3 + m*o**4 + g and give g.
1
Express (-6 + 4 - 4)*((2*y - 3 + 3)*(2 - 1 + 0) - 2*y + y + 3*y) in the form h + v*y and give v.
-24
Express 6*j**2 - 6 + j - 14*j**2 + 3 + (-3 + 0 + 1)*(-4*j**2 + 2*j**2 + 0*j**2) as y*j**2 + n*j + v and give v.
-3
Rearrange -2*h - 2*h**4 + 2*h + (-3*h**4 + 6*h**4 - h**4)*(1 + 0 + 1) + 6*h**4 - 15*h**4 - 7*h**4 to the form m*h + c + g*h**2 + o*h**3 + u*h**4 and give u.
-14
Rearrange (0*g + 3*g - 2*g)*(-5 + 3 - 13)*(-3*g**3 - 2*g + 2*g) to the form l*g**4 + y*g**2 + c*g**3 + a*g + k and give l.
45
Rearrange (-2*a - a + a - 19 + 19 + 8*a + (a + 1 - 1)*(0 + 0 - 1) - 2*a + 0 + 0)*(-a**2 - 2*a + 2*a) to the form c*a**3 + l*a + y + z*a**2 and give c.
-3
Rearrange 4 + 0 + 3*f**2 - 5 to the form t*f**2 + w + s*f and give t.
3
Rearrange (4 + 0 - 3)*(x**2 + 5*x**2 - 5*x**2) to d + c*x + z*x**2 and give z.
1
Express 4 - 4 - q**2 + (1 - 1 - 2)*(-q + q + 2*q**2) + (-73 + 17*q + 73)*(-3*q + 0*q + q) as h*q + z + v*q**2 and give v.
-39
Express -2 + 30*t**4 - 11*t**4 - 20*t**4 - t**3 - 2*t - 2*t**2 + 5 as x + j*t**4 + i*t**2 + v*t + f*t**3 and give i.
-2
Rearrange (3 - 3 - 2 + (3 - 2 + 0)*(2 + 3 - 2))*(-2*j + j + 4*j) to the form z*j + a and give z.
3
Express -x + 3*x**3 + 3 - 3*x + 2*x - 4*x**3 in the form t*x**3 + w + d*x**2 + a*x and give a.
-2
Rearrange (4*w**4 - 5*w**4 - w**4)*(-6 - 1 + 1)*(-1 + 2 - 3) to t*w**2 + n + i*w + p*w**3 + m*w**4 and give m.
-24
Rearrange (-5 + 1 + 3)*(4*c + 0*c - 6*c) - c + 3*c + 0*c + (-3 + 3 - 1)*(-2*c + 7*c - c) + 3 - 3 + c to the form n*c + v and give n.
1
Express (2*j - 2 + 2)*(-3 + 3 + 1)*(0 - 12 + 5) as m*j + n and give m.
-14
Express 0 + 7*f**4 + 1 + f**3 + f**2 - 5*f**4 as z + d*f**2 + n*f**3 + x*f + i*f**4 and give z.
1
Express -3*k**2 + 5*k**2 - k**2 + (-2*k**2 + 5*k**2 + 0*k**2)*(-3 + 0 + 5) + 4*k**2 - 2*k**2 + 0*k**2 in the form g*k + r + x*k**2 and give x.
9
Express 46*i - 98*i - 13*i**2 + 51*i as r*i**2 + j*i + k and give j.
-1
Rearrange 61*y + 36*y - 12*y to g + c*y and give c.
85
Rearrange 17*v**2 - 5*v + 8*v**2 - 11*v + 18*v + 2 to the form j*v**2 + b + o*v and give o.
2
Rearrange ((-2*k + 4*k - 5*k)*(-2 + 2 + 2) + 2*k - 2*k + k)*(12 - 5 + 17) to the form t*k + q and give t.
-120
Express -4*r**3 - 1 + 3*r**3 - 4 + 6 - 3*r**2 in the form m*r**2 + o + f*r**3 + b*r and give m.
-3
Rearrange 2*l**2 + 2 + l**4 + 0*l**2 + 0*l**2 - 4*l**2 + 19*l to h + r*l + n*l**4 + t*l**3 + d*l**2 and give d.
-2
Rearrange (-7*r + r + 3*r + 4)*(0 + 5 - 1)*(r**3 + 2*r**3 - r**3) to the form v*r + k*r**4 + z + y*r**3 + a*r**2 and give y.
32
Rearrange (b - 3 + 3)*(-10 + 13 - 6)*(4 - 4 + 3) to u*b + d and give u.
-9
Rearrange -4*g + 18*g + 37*g to o + m*g and give o.
0
Rearrange -104*x + 49*x + 54*x + 13 to the form w + u*x and give w.
13
Rearrange u**2 - 6*u**3 + 2*u**3 - 3*u + 2*u**3 + u to z + i*u + n*u**3 + h*u**2 and give i.
-2
Rearrange 2*j**3 - 158 + 160 - 2*j - 12*j**3 to the form q + w*j + l*j**3 + v*j**2 and give w.
-2
Express -c**4 - c**3 + 2*c**3 + 2*c**4 - 3*c**3 - 4*c as m*c**4 + d + r*c**2 + a*c**3 + u*c and give u.
-4
Express (2 - 4 + 3 + (-4 + 3 + 2)*(-5 + 2 + 2) + 2 - 4 + 3 + 2 + 9 + 9 + 1 - 4 + 1)*(0*b + b + 0*b) - 3*b + 5*b - b in the form f + d*b and give d.
20
Express 16*x + 6 - 2 - 12 + 6 in the form j + g*x and give j.
-2
Rearrange (-1 + 2*h - 4*h + 3)*(22 - 22 + 9*h) to q + a*h**2 + r*h and give a.
-18
Rearrange w - 10*w + 7*w to the form j + l*w and give l.
-2
Express (0*l + l + 0*l)*(-3 + 4 - 3) - 2*l + 4*l - 4*l + 12 - 2*l - 12 as u + z*l and give z.
-6
Express -1 + 1 + 5*r**2 + 56*r - 66*r in the form n*r**2 + j*r + w and give n.
5
Express (6*s**2 + 8 - 16 + 10)*(s - 4*s + 5*s) as b + p*s**3 + o*s**2 + m*s and give m.
4
Express 2*q + q**2 - 2*q + (0 + 0 + q)*(3*q + 0 + 0) + 39*q**2 + 7*q**2 - 3*q**2 in the form t + o*q**2 + a*q and give o.
47
Express 2*f - f**4 + 1 + 1 - 6*f + 17*f in the form c*f**3 + w*f**2 + k*f**4 + q + h*f and give k.
-1
Rearrange (13*v - 7*v + 3*v - 9)*(1 - 1 - 2*v) to p*v + m*v**2 + r and give p.
18
Express 2*m**2 + m**2 - 5*m**2 + (m - m + 2*m)*(2*m - 2 + 0*m + 3*m) + (3*m + m - 5*m)*(-2 + m + 2) in the form i*m**2 + f + b*m and give b.
-4
Rearrange (2*t**2 + 30*t + 22*t - 42*t)*(t - t - 2*t) to the form c*t**2 + z + s*t**3 + v*t and give c.
-20
Express -11 - 3 - 4*v + 14 in the form x*v + i and give x.
-4
Express 4 - 39*g - 1 - 8 + 4 as j + m*g and give j.
-1
Express ((3 - 2 - 3)*(-3 + 5 + 0) + 0 - 2 + 1)*(-14*c + 3*c + 2*c) as r + w*c and give w.
45
Rearrange (-10*h + 8*h + 16*h)*(1 + 2 - 5) + (-3*h + h + 3*h)*(0 - 1 + 0) + 0 + 0 + 2*h to k + c*h and give c.
-27
Express -46*m + 18*m - 8*m**2 + 27*m in the form b + u*m + j*m**2 and give u.
-1
Rearrange (z + 2 - 2)*(1 - 6 + 4)*(-5 + 1 + 2)*(-2 - 1 + 7) - 3*z - z + 3*z to the form l*z + m and give l.
7
Rearrange (8*j + 13*j - 9*j)*(0 - j + 0 + (-4 + 1 + 2)*(j - 3*j + 3*j)) - j**2 + 0 + 0 + (2*j - 2*j + 2*j)*(0*j + 3*j - 4*j) to n*j**2 + u + q*j and give n.
-27
Rearrange -3 + 8*d**2 + 3 + d**2 - 5*d**2 + 2*d**2 + (d + d - d)*(-d + 3 - 3) + 0*d**2 - 5*d**2 + d**2 to the form a*d + y*d**2 + l and give y.
1
Rearrange t - 2*t + 2*t - 2*t + 2 - 2 + (-t + 0*t + 2*t)*(24 - 7 + 10) to the form v +
|
{
"pile_set_name": "DM Mathematics"
}
|
112.1. Is 1 at least k?
True
Let y = 304 - 182. Suppose -124*u + y*u - 282 = 0. Is -141 less than u?
False
Let m = 0.038 + -0.268. Let y = -3.022 - -2.922. Which is greater: m or y?
y
Let i(z) = -z**3 - z + 24. Let r be i(0). Let x be r/108 + 10/(-18). Is 0.05 at most as big as x?
False
Let w = -1/369 - -5911/2583. Let r(o) = o**3 - 11*o**2 + 2*o - 20. Let f be r(11). Is f < w?
True
Let p(z) = z**3 + 4*z**2 + z + 3. Let f be p(-5). Let v = f + 21. Let u be ((-16)/380)/(v/(-15)). Which is smaller: u or -1?
-1
Let g = -379 + 378. Does 2/173 = g?
False
Let c be 2 - (-3 - 24/(-5)). Let b be -1*(-3)/(-6)*-6. Let i be -2*b/18*-3. Which is bigger: c or i?
i
Let g be (-2)/892*-2*-1*2. Let x = 368695 + -328877047/892. Let f = x + g. Which is bigger: -3 or f?
f
Let i = 42 + -41.9. Suppose -2*w - 7*c = -3*c - 6, 0 = 5*w - 2*c - 3. Let m(x) = x**3 - x. Let f be m(w). Which is smaller: i or f?
f
Let d = 0.5 - -0.2. Let z = d - -0.3. Let c = 2.9 - 1.9. Is c greater than z?
False
Let x(c) = -102*c + 222. Let d be x(2). Are d and 195/11 non-equal?
True
Let h(d) = d**2 - 12*d + 2. Let g be h(12). Suppose 4*f = z + 17, 7*z + f = g*z - 1. Let i be 1/((-4)/1 - z). Which is smaller: i or -0.5?
-0.5
Let x be (-804)/21*(-42)/12. Let t = x + -94. Which is smaller: 79/2 or t?
79/2
Let c = -0.281 - -0.381. Which is bigger: c or 0?
c
Let o = 8 - 52. Let f = o - -47. Is f > -1?
True
Suppose -5*z = -604 - 161. Suppose -8*v + 468 = -5*v - 2*y, -613 = -4*v - y. Which is smaller: v or z?
z
Let r be 16/24 - (-328)/(-6). Let n = 48 + r. Are n and -3 equal?
False
Let n(x) = -2*x + 93. Let m be n(-2). Is 98 greater than or equal to m?
True
Let i = -0.5 - 0.7. Let a = -2.06 - -0.66. Let t = i - a. Is -2/3 less than t?
True
Let h be 3 + -2 - (-24)/(-28). Let r = 6.87 - -0.13. Let p = r - 8. Do h and p have the same value?
False
Let h = 1339/8 - 167. Is h smaller than 1?
True
Let j(o) = o. Suppose -2*d + 0*t + 2*t = -100, -250 = -5*d + 2*t. Let n be (-10)/d + 28/(-10). Let w be j(n). Is w at most 0?
True
Let s(a) = -5*a + 21. Suppose -4*p - 5*p = -36. Let t be s(p). Is 15 at least t?
True
Let i(s) = 38*s - 56. Let a be i(5). Are a and 133 equal?
False
Let l = -1136 - -1115. Which is bigger: l or -14?
-14
Let d = 7 - 22. Suppose -8*v - 14 = -7*v. Which is smaller: d or v?
d
Let d = 1590 - 1589. Let x be (-6)/24 - 74/(-328). Is d < x?
False
Suppose 0 = -f - 2*f - 4*y, 4*y = 0. Let l be (-4)/(-2) - 118/26. Let r = 31/13 + l. Which is greater: r or f?
f
Let d be 296/(-36) + 4/18. Let b(h) = h**3 + 7*h**2 - 7*h + 11. Let g be b(d). Suppose -5*z = -g*z. Which is smaller: z or 1?
z
Let d be (5 + -3)*(-6)/4. Suppose 0 = 3*t + 5*v, 5*t = 2*v + 13 + 18. Suppose t*x + 6 = 1. Is x smaller than d?
False
Suppose 0 = -0*i - i + 4. Let b(o) = o**2 - o - 30. Let f be b(-5). Suppose -8 = l - 2*q, 0 = -l - f*q + q - i. Which is greater: 2/7 or l?
2/7
Let u = 106 + -531/5. Let x(m) = m + 1. Let v(q) = 2*q - 4. Let b(c) = -v(c) + x(c). Let d be b(6). Which is smaller: u or d?
d
Suppose 2*y + 2 = 0, -4*y + y + 25 = 4*l. Let h = 29 - l. Is h at most 22?
True
Let f(i) = i - 6. Let d be f(6). Let r be (d*1/(-2))/1. Let v be -4 + (-4 - 1035/(-130)). Which is smaller: r or v?
v
Let c = -4.6 + 14.5. Let a = -9.1 + c. Which is smaller: 0.3 or a?
0.3
Let v = 20 + -28. Let g be 30/140*v/18. Does 1 = g?
False
Suppose l = 22*l + 21. Which is bigger: 2/227 or l?
2/227
Let r be -1*((-18)/(-4) + -4). Let t(f) = f**2 - 10*f - 7. Let p be t(10). Let n = p + 7. Which is smaller: r or n?
r
Suppose 904 = 7*u + 1219. Is 9 > u?
True
Let g = 283 + -176. Is g bigger than 107?
False
Let c be (1 - (0 - -3)) + 7. Let t = c + -12. Let p(n) = n**2 - 13*n + 16. Let j be p(11). Which is greater: j or t?
j
Let y = -5 + 5. Suppose l + 12 = -y*s - s, -5*s - 3*l = 66. Let a be 7/s + 4/(-20). Is a >= -2?
True
Let f be 2 - (11 - (-1 - 1)). Let i = f - -20. Suppose 3*k - i + 6 = 0. Is k less than or equal to 6/17?
False
Let g(d) = -1. Let w(o) = o + 8. Let q(c) = 6*g(c) + w(c). Let x be q(14). Let f be (8/x)/((-1)/10). Is -3 at most f?
False
Suppose -a = a. Suppose a = -4*g + 53 + 39. Suppose -g = 3*d - 5*p, -2*d = 2*p - 4*p + 10. Which is smaller: d or 2/17?
d
Let m = 110 + -110.5. Is m greater than -25?
True
Let a = 175 - 176. Does 2/373 = a?
False
Suppose -52 + 40 = -4*c. Suppose -4*w + c*g + 68 = 0, 5*w - 3*g - 59 = 23. Is w greater than 13?
True
Let o(t) = 11*t. Let h be o(-2). Let f(m) = 41*m + 1290. Let p be f(-32). Is h bigger than p?
False
Let w = -27 + 42. Suppose 0 = -2*c + 2*b - 26, -w = c + b - 3*b. Which is greater: c or -12?
c
Suppose 0 = -14*q + 2*q - 12. Let v be 9/9 + (-25 - q) - -4. Which is greater: v or -56/3?
-56/3
Suppose -4*a = 4*c, -5*c + 2*a - 28 = 7. Is -191 at most as big as c?
True
Suppose 4*d - 9 = -97. Let t = d - 4. Do -25 and t have different values?
True
Let h = -752 - -752.1. Is 726 greater than h?
True
Let g = 31939/18 + -1773. Is 2 not equal to g?
True
Let n be (-48)/(-22) - (-2 - -4). Suppose -4*o - 4 = 2*y, 0*o - 2*o = -y + 2. Which is smaller: o or n?
o
Let v(d) = -2*d - 20. Let u be 22/(-4)*7/((-21)/(-6)). Let y be v(u). Which is greater: 3 or y?
3
Suppose -21*q + 46 = -38. Let u = 14 - 16. Which is smaller: q or u?
u
Suppose -w - 2*w + 40 = m, m - 32 = -5*w. Let b = m + -53. Which is greater: 2/65 or b?
2/65
Let r = 14 - 17. Let y(a) = -3*a**2 - 3*a. Let v be y(r). Is -18 <= v?
True
Let b be ((6 - 5)*(3 + -4))/391. Are b and 1 non-equal?
True
Let v be 4 + 88/(-16)*(-8)/(-10). Which is bigger: v or 0.068?
0.068
Suppose -18*k + 24*k = -996. Which is greater: 1 or k?
1
Let b = -27/2 + 12. Let v = 0.08 - -1.92. Is b less than v?
True
Let o = -9 + -27. Let u = o - -40. Which is bigger: u or 6?
6
Let k = -1508 + 10558/7. Which is greater: -1114 or k?
k
Let h(z) = 2*z**3 + 3*z**2 - z + 6. Let i be h(-3). Let n be (-176)/i*((-6)/8 - 0). Is n at least 2/7?
False
Let o = 26 + 84. Does 112 = o?
False
Let l = -37/4 - -9. Let b = -0.1734 - -10.2034. Let h = -10 + b. Which is greater: h or l?
h
Let y be 570/(-3) + (-4 - -5). Let v = y + 1515/8. Is v less than 0?
False
Suppose 0 = -109*l + 92*l - 21012. Which is greater: -1237 or l?
l
Let k(n) = 11 + 13 - n - 10. Let b be k(6). Suppose 0 = b*i - i. Which is smaller: i or 10?
i
Let t be (-2)/4 + (583/18)/11. Which is bigger: t or 1?
t
Let i(g) = -g**2 + 36*g - 71. Let k be i(31). Which is smaller: 80 or k?
80
Let q(r) = 4*r**2 + 0*r + 0*r + 4*r + 3 - 3*r**2. Let c be q(-6). Let n = c + -16. Is n > 2/5?
False
Let z be (-6 + 9)/(18/(-1632)). Which is smaller: -273 or z?
-273
Suppose 3*u = -2*g - 88, -3*g + 3*u - 134 = 8*u. Is g greater than -28?
False
Let g be (-1)/(8/(-29*32)). Is g != 117?
True
Suppose 7*n - 3*n + 20 = 3*l, -3*n + 3*l - 15 = 0. Let r(q) = -29*q**2 - 3*q - 3 - 3 + 28*q**2. Let i be r(-3). Which is smaller: i or n?
i
Let x be (-100)/125 + (-6)/5. Which is smaller: 3 or x?
x
Let u be 120/469 - 146/511. Is u bigger than 4?
False
Let o = 1.2 + -1.126. Let b = -2.674 + o. Which is bigger: b or 1?
1
Suppose 2*a - 5*f = -0*a - 397, -3*a - 3*f = 606. Let j = a + 598/3. Which is smaller: -3 or j?
-3
Suppose 6*a + 28 = 3*h + 2*a, 3*h - 27 = 3*a. Let u(s) = s**2 - s + 3. Let v be u(0). Suppose y + 2 = v*y. Which is greater: y or h?
h
Let h(o) = 2*o**2 + 3*o + 10. Let t be h(6). Suppose 4*a + 0*v = -5*v - t, 0 = -v. Which is smaller: a or -24?
a
Let u = -206 + 207. Is -3/205 less than u?
True
Let x be ((-224)/24)/(-2 - 3/(-2)). Is x != 20?
True
Suppose 5*o = 2*r - r - 157, -r + 33 = -o. Which is smaller: 14 or o?
o
Let t = 468 + -468. Which is greater: t or 1/73?
1/73
Let s = 57100 - 57151.038. Let f = s + 51. Is f at most as big as 1/3?
True
Suppose 2*h + 35 = h - 5*g, -4*h + 2*g - 30 = 0. Let p = h - -14. Suppose 2*s - 4 = 4*i, 4*s - 12 = -p. Which is greater: i or 1/9?
1/9
Suppose -4*q + 4*j - 8 = 0, -3*q - 6*j - 30 = -j. Which is greater: q or -7?
q
Let z(p) be the first derivative of p**4/12 + p**3/6 + 2*p**2 - 4*p + 10. Let g(q) be the first derivative of z(q). Let x be g(0). Which is smaller: 7 or x?
x
Suppose -21 = -7*s + 8*s + 5*m, s = 4*m + 24. Suppose 2*y + 42 = -2*d, s*d - 8*d - 101 = 5*y. Is -19 at most y?
True
Let m = 70492106/2189134455 + 35/296029. Let n = -1/145 - m. Which is smaller: n or 0?
n
Let p be 1 - ((-4)/(-2) + -5). Suppose -4*m
|
{
"pile_set_name": "DM Mathematics"
}
|
*i**2 + l*i**3 + h + z*i and give s.
-1
Express (0*g + g - 15*g + 2)*(4*g - 2*g + g)*(4*g**2 - 3*g**2 - 2*g**2) in the form u*g**2 + n + l*g**3 + a*g**4 + t*g and give l.
-6
Express -8 + 3*o + 2 + 7 - o - o**3 - o**4 as r*o**2 + b + h*o**4 + t*o + a*o**3 and give a.
-1
Express (8 - 21 + 2*w**3 + 8)*(2 - 5 + 1) in the form c*w**2 + g*w + v*w**3 + p and give v.
-4
Rearrange -1 - w**4 - w**4 + 4*w + 5*w**2 - 5*w to the form v*w**3 + b + t*w**2 + j*w**4 + y*w and give t.
5
Express -3 + 3 + 3*u + (1 - 3 + 4)*(6*u - 2*u - u)*(-4 + 16 + 1) as m*u + i and give i.
0
Express 67*s**2 + 224*s - 224*s as a*s + y + q*s**2 and give q.
67
Rearrange -4*i**2 - 2*i**2 + 18*i**2 + i**3 - i to g*i**2 + h + b*i + y*i**3 and give h.
0
Express 86 + 1 - 3*d**2 + 42 + 4*d**2 as a + p*d**2 + k*d and give p.
1
Rearrange 16 + 2*f + 14 - 11 + 0*f to the form q*f + j and give q.
2
Rearrange (k**3 + 4*k**2 - 4*k**2)*(-8*k - 3*k + 10*k - 54) to the form s*k**3 + a + d*k**4 + m*k + v*k**2 and give a.
0
Rearrange 12*o**2 + 19*o**2 - 14*o**2 + 16*o**2 to the form q + z*o**2 + j*o and give z.
33
Rearrange 25*p**2 - 694 + 694 + (4*p - 3*p - 3*p)*(p + p - 4*p) to the form t*p + g*p**2 + f and give g.
29
Express (3 - 3 + k)*(3*k - 2*k + 0*k) + 21*k**2 + 124*k - 124*k in the form p*k + w*k**2 + h and give h.
0
Rearrange -16*i**2 + 5*i**2 + 1 - 2*i**4 + 11*i**2 + 3*i**3 to b + x*i**4 + y*i + q*i**3 + h*i**2 and give q.
3
Express -13*m + 3 + 25*m - 2 + 12*m in the form n + a*m and give a.
24
Express (f**2 + 35 + 9*f - 37 - 4*f)*(4 + f - 4) as c*f**3 + g + i*f + m*f**2 and give c.
1
Express 245*q - 121*q + 37 - 123*q in the form r + n*q and give n.
1
Rearrange 0*a - 15*a**3 - 240 + 2*a + 242 to f*a**3 + g*a**2 + x + i*a and give f.
-15
Rearrange -m**3 - m**4 - 248 - 2*m + 246 + m**3 - 16*m**2 to n*m**2 + y*m**3 + r*m + j + h*m**4 and give j.
-2
Express 3*c**4 + 151*c**2 + 0*c**4 - 149*c**2 + 3*c - 2*c**4 - c**3 - 4 as r*c**4 + a + q*c**3 + i*c + u*c**2 and give u.
2
Express (v - v - 3*v)*(2 + 2 - 5)*(0 - 1 + 2) as n + u*v and give u.
3
Rearrange -k**3 - k**2 + 3*k**3 + 1 + k**2 to f*k**3 + l*k**2 + m + r*k and give f.
2
Rearrange 5 + 4 + 38*h - 37*h to the form n + x*h and give n.
9
Rearrange (-2*k + 2*k - 2*k**3)*(3 - 4 - 1) + (0*k - 3*k - 4*k)*(k**2 - 4*k**2 + k**2) + 7*k**3 + 0*k**3 - 2*k**3 to w*k**3 + o*k**2 + f + j*k and give w.
23
Express d - 6*d**2 + d**3 + 14 + 10 + 12 - 2*d**4 - 37 in the form n*d**2 + y + g*d**3 + c*d**4 + a*d and give g.
1
Express (-2*u**2 - 4*u**2 + 2*u**2)*(-1 + u + 1) - 4 + 4 - 2*u**3 - 5*u + 5*u - u**3 as i*u**3 + r*u + c*u**2 + x and give i.
-7
Rearrange -23*i**2 - 3*i + 6*i**2 - 2 + 2*i**3 + 17*i**2 to q*i**3 + r*i**2 + o + h*i and give q.
2
Rearrange 22*d + 12*d + 9*d + 52*d to the form s*d + p and give s.
95
Rearrange 0 + 5 - 2*y**4 + y - 2*y - 3*y**3 - 7 to u*y**2 + x*y + h*y**4 + m*y**3 + l and give m.
-3
Rearrange -3*s - 3*s**3 - 1 - s + 0*s**3 to w*s + b*s**2 + c*s**3 + g and give g.
-1
Express -31*l + 0 + 2*l**2 + 34*l + 6 - 4 - 5*l**3 in the form b*l + z*l**3 + p + q*l**2 and give p.
2
Express 175*z**2 - 94*z - 94*z + 188*z in the form k + j*z + r*z**2 and give r.
175
Rearrange 27*a - 27*a - 25*a**2 to p*a**2 + b*a + n and give p.
-25
Rearrange -10166 + 10166 + 21*z**2 to the form b + x*z**2 + u*z and give x.
21
Express -1 - 6*y**3 - 2*y**2 + 2*y**3 - 2*y + 5*y**3 as f + w*y**3 + r*y + d*y**2 and give w.
1
Rearrange -n**2 + 0*n**2 + 3*n**4 + 4 + n**3 - 5 + 0 - 2*n to the form o*n**3 + j*n**4 + p + z*n**2 + s*n and give j.
3
Rearrange (0 + 0 + 2*j)*(8*j - 2*j - 2*j)*(3*j + 4*j - 3*j) + 2*j**3 + 3 - 3 to a*j**2 + w*j + f*j**3 + q and give f.
34
Express (1 - 1 - a)*(-2 + 0 + 0)*(1 - 1 + a)*(-a - 3*a + 5*a + (3 - 1 + 0)*(-3*a - a + 3*a)) in the form x + m*a**3 + g*a + i*a**2 and give m.
-2
Rearrange -6*k**2 + 3*k**2 + k**2 + (-2 + 3 - 2)*(k**2 + 1 - 1) - 16*k**2 - 4*k**2 + 13*k**2 to the form q + a*k**2 + y*k and give a.
-10
Rearrange (4*m**2 - 5*m**2 + 1 - 2*m**2)*(-8*m**2 - 10*m + 10*m) + 0*m**4 + 4*m**4 - 6*m**4 to the form d*m**3 + l*m**4 + s*m**2 + g + o*m and give s.
-8
Express (-h**2 + 6*h**2 - 4*h**2)*(-3 + 3 + h**2) - 382*h**2 + h**4 - 5*h**4 + 380*h**2 - h**3 as s*h + l*h**2 + m*h**3 + u + o*h**4 and give o.
-3
Express f - 24 - 3*f**2 + 43 - 5*f**2 - 3*f**3 - 17 in the form g*f**3 + q + r*f**2 + k*f and give q.
2
Express -4*p**3 + 8*p**2 - 10*p**2 + 4*p**2 + 2 as v*p + u*p**3 + r*p**2 + d and give r.
2
Express (q - 25*q**2 - q + 0*q**2)*(2*q**2 - 4*q**2 + 4*q**2) as o*q**2 + j*q**3 + b*q**4 + k + p*q and give b.
-50
Rearrange 16*b - 1 - 21*b - 4*b**2 + 2 to x*b**2 + m*b + k and give k.
1
Rearrange (k + 9*k - 11*k)*(8*k + k - 4*k) to y*k + w*k**2 + g and give w.
-5
Express 3*z**2 - 3*z**3 - 2*z**2 + 5*z**3 - 3*z**2 as y*z + r + k*z**3 + l*z**2 and give l.
-2
Express (-2*c**3 - 3*c**3 + 3*c**3)*(14*c - 10 + 10) + 2*c**4 + 2*c**4 - 3*c**4 - 4*c**2 + 4*c**2 + c**4 as h*c + p*c**2 + d*c**3 + m + z*c**4 and give z.
-26
Rearrange (0*v**3 - v**3 - 4*v**3)*((-3*v + 5*v - v)*(1 + 1 - 3) - 7 + 7 + 3*v) to the form y*v + x*v**2 + u*v**3 + z + b*v**4 and give u.
0
Rearrange (-4*m**2 + 4*m**2 - 3*m**2)*(5*m - 3*m + 2*m) to j*m**3 + c*m**2 + i + l*m and give i.
0
Express (-3*g + 3*g + g + (0 + 2 - 3)*(-2*g + 5*g + g))*(0 - 2 + 5) as d + z*g and give d.
0
Express -2*y**2 + 2*y**2 + 2*y**3 + (2*y**2 + y - y)*(-5*y + 20*y + 21*y) in the form g*y**3 + t + s*y**2 + h*y and give g.
74
Express -9*j - 18*j - 7*j as h*j + g and give h.
-34
Rearrange 15*y**2 - 4*y**2 - 7*y**2 to d*y + w*y**2 + i and give w.
4
Rearrange (-1 + 4 + 7)*(2 - 4 - 1)*(2*n**2 - n**2 + n**2) to the form f*n**2 + g*n + y and give g.
0
Express -14*q**2 - 13*q**2 + 23*q**2 + 5 in the form k*q + t + c*q**2 and give k.
0
Rearrange -24*s**2 - 7 + 7 to u*s**2 + l*s + g and give u.
-24
Express m**3 - 2*m**3 + 3*m**4 + 153*m - 155*m - 2*m**2 in the form r*m**2 + y*m**3 + c*m**4 + l*m + v and give l.
-2
Rearrange -n**4 + 6*n**2 - 22*n**2 + 2*n**3 + 15*n**2 to the form g*n + h*n**3 + u*n**4 + s*n**2 + x and give s.
-1
Express -3*k + 5*k**2 + k + k - 4*k**2 in the form v + u*k + y*k**2 and give y.
1
Rearrange (3 + 0 + 2)*(2*y + y**2 - 2*y)*(474 + 8*y + 2*y - 476) to n*y + b*y**2 + d + c*y**3 and give c.
50
Rearrange 40*u**2 + 22*u**2 - u**2 to the form b + t*u**2 + k*u and give t.
61
Express -27 + 27 + 10*p + (1 + 3 - 3)*(2*p + 3 - 3) + 2*p - p + p + p + 1 - 1 as t*p + x and give t.
15
Rearrange -2*b + 0*b + b + (3 - 2 + 1)*(-2*b + b + 2*b) + 0*b + b - 4*b - b - 2 + 2 + (-3 + 4 + 0)*(5 + 0 - 1)*(2*b + 0*b + 0*b) to f*b + o and give f.
5
Rearrange (3 + 1 - 6)*(-3*h + 3*h - 2*h) + (1 - 1 + 2*h)*(-65 + 24 - 15) to the form b*h + l and give l.
0
Express (-1 + 0 - 1 + (-3 - 1 + 2)*(1 + 6 - 5))*(-8*a - 28*a + 9*a) in the form v*a + x and give v.
162
Express (-3*i**2 + 6*i**2 + 3*i**2)*(16 + 6*i**2 - 16) + i**4 + 2*i - 2*i as h*i**2 + g*i + s*i**3 + z*i**4 + w and give z.
37
Rearrange -m - 9*m**3 - 1 - 1 - 2*m**3 + m**3 to c*m + w + f*m**2 + s*m**3 and give w.
-2
Express 7*t**2 - 3*t**2 + t**2 as h*t**2 + k + j*t and give h.
5
Express 5*r**2 + 8*r - 8*r - 2*r**3 + 11*r**2 as i*r**3 + o + n*r**2 + z*r and give i.
-2
Express c + 0*c**3 + 2*c**2 - 2*c**3 + 0*c - 4*c**2 in the form r + i*c + o*c**3 + w*c**2 and give i.
1
Rearrange (-4*t + 7*t - t)*(-t**2 + t**2 + t**2) - 2 + 0*t**3 + 2*t**3 + t**3 to the form j + c*t + v*t**2 + q*t**3 and give j.
-2
Express 3*f - 50*f + 0*f in the form q + j*f and give j.
-47
Rearrange 8*h**2 + 4*h**2 + h**2 to the form t + i*h + b*h**2 and give b.
13
Rearrange -2*p**4 - 8*p**2 + 2 - 2*p**3 + p**2 + 6*p**2 + 4*p**4 to the form d*p**3 + q*p**4 + v*p**2 + x*p + u and give q.
2
Express -8*b**4 - b**4 + 80*b**2 + 4*b - 82*b**2 in the form m*b + n + s*b**3 + l*b**2 + h*b**4 and give m.
4
Express (26 - 8 + 2)*(-2 + 9 - 3)*(0*y**3 - 5*y**3 + 3*y**3) + (2*y - 3*y - y)*(-3*y**2 + 4*y**2 + 2*y**2) as k + u*y**2 + o*y**3 + a*y and give o.
-166
Express (-6*a + 4*a + 4*a + 2)*(0 + 1 + 0) as m + w*a and give m.
2
Express (-2*g - 2*g - 3*g)*(1 - 2 - 2) + 0 - 2*g + 0 + 4*g - g - 4*g as f*g + w and give f.
18
Express 9*d + 15*d - 5*d + 8*d as z*d + p and give z.
27
Rearrange b**4 - 104*b**3 - 1 + 104*b**3 - b - 3*b to the form r + l*b + c*b**2 + z*b**3 + k*b**4 and give r.
-1
Rearrange -3*
|
{
"pile_set_name": "DM Mathematics"
}
|
2/3 (c) 20/391 (d) 1 (e) -2/7
a
Which is the closest to -3931? (a) 0.11 (b) 1/6 (c) 3/5 (d) -3
d
Which is the nearest to 1? (a) -3 (b) 0.34 (c) -385/6
b
What is the closest to -2 in 220/371, -0.02, 0?
-0.02
Which is the closest to -2/5? (a) -1/127 (b) -2034.3 (c) 0.4 (d) 0.5 (e) 4 (f) -5
a
What is the nearest to 19 in 2, 0.2, 7, 58?
7
What is the nearest to -3/5 in 21, -89, -15/7?
-15/7
What is the closest to -19339.23 in -4/5, -2, 1/5?
-2
Which is the nearest to -1? (a) 0 (b) 77 (c) 0.4 (d) -17 (e) -5
a
What is the closest to -0.1 in -24, -19, 129051?
-19
Which is the closest to -0.2? (a) -7/13 (b) 0.7 (c) 90 (d) 0.08
d
Which is the closest to 0.1? (a) 2276 (b) -2/13 (c) -1/4 (d) -0.2 (e) -63/4
b
Which is the closest to 0.065? (a) 2 (b) 230 (c) -301 (d) -0.1
d
What is the nearest to 1/4 in 21, 110, -0.15?
-0.15
Which is the nearest to -5? (a) -24 (b) -309/20 (c) -2 (d) 0.5 (e) 0.05 (f) -0.4
c
Which is the nearest to 26? (a) -3 (b) 0.5 (c) -2 (d) 2337 (e) 0.3
b
Which is the nearest to 1/16? (a) 0.04 (b) 5 (c) -2391
a
What is the nearest to 14 in -1, 0.18, -107/5, 4, 0.12, -0.4?
4
Which is the nearest to 4? (a) -0.1 (b) -4/9 (c) 3/4 (d) -3 (e) 27 (f) 1
f
Which is the closest to 155255? (a) 5 (b) 6 (c) 4 (d) -5
b
Which is the nearest to -1? (a) -2/13 (b) -6272 (c) 5519
a
Which is the closest to -0.2? (a) -2/7 (b) -50 (c) 4/7 (d) 5232 (e) 3
a
What is the closest to 1 in -2.12, -2, -46/7, -0.3, 3?
-0.3
What is the closest to 124 in 0.078, 3/2, 1/11, -4, 4?
4
Which is the nearest to -1? (a) -7/316 (b) 3/7 (c) -154 (d) 0 (e) -5
a
What is the nearest to 4547 in 3, -85/13, -7?
3
What is the nearest to 1/3 in -1/9, 2, -28, -628?
-1/9
Which is the nearest to 0? (a) -453 (b) 0.3 (c) -14 (d) 56
b
Which is the nearest to 208? (a) -0.2 (b) -3/8 (c) 11/5 (d) 260 (e) -2/7
d
Which is the nearest to 2/4341? (a) 3/2 (b) -2/3 (c) -0.3
c
Which is the nearest to 520? (a) 1 (b) -1 (c) 0 (d) 0.47 (e) 99
e
Which is the closest to 0.05? (a) 43 (b) -1/3 (c) -4 (d) 0.6 (e) 3/4
b
Which is the closest to -3? (a) 5/12 (b) -0.1562 (c) 10/27
b
What is the nearest to -2 in 266427, -2, 3/5?
-2
Which is the nearest to 0.1? (a) 2/9 (b) 3389602 (c) -4/7 (d) -1/6
a
What is the nearest to -0.2 in 3/2, -3, 0, -199, -1/3?
-1/3
What is the nearest to 1/2 in -5, 4, -1, 1.1, 3/2, -260?
1.1
Which is the closest to 2122/9? (a) 0 (b) -4/7 (c) -2/43
a
Which is the nearest to -0.1? (a) -1/152 (b) 72 (c) 0.3 (d) 2/9
a
What is the nearest to 7 in 23, -1, 0.155, -4/17, 1/4?
1/4
What is the nearest to -0.6 in 5, 4/37, 0.4, 8, 3, 1?
4/37
Which is the closest to 1/29? (a) -3 (b) -5 (c) -1/4 (d) -11132
c
What is the closest to 6 in -0.689, -1/9, -0.4, -5?
-1/9
What is the closest to -0.17507 in 0, 2, -1, 1.4?
0
What is the nearest to 1 in 1/49, -5/23, -3?
1/49
Which is the nearest to -4? (a) -4 (b) -0.0883 (c) -3/31
a
Which is the closest to 0.1? (a) -0.02 (b) 5/1788 (c) -4/33
b
What is the closest to -4 in 2, 0.1, -0.54, 22, 5?
-0.54
What is the nearest to 2/9 in 1, -55, -2768, 2/3, -1/3?
2/3
What is the nearest to 0.28 in -2/9, 0.5, 36, -12, 2?
0.5
What is the closest to -270/13 in 4, -1/173, -29, -4, -6?
-29
Which is the closest to -0.06? (a) 0 (b) -0.5 (c) 1251/244
a
What is the closest to 0.1 in -347, -18/7, 0.1, 1/3, 0?
0.1
Which is the nearest to -0.2? (a) -1/130 (b) -2/207 (c) 0.6
b
Which is the closest to -2? (a) 0.19 (b) 2/183 (c) -19 (d) 5 (e) 1
b
What is the nearest to -0.1 in -10, 4, -145, -3, -66?
-3
What is the closest to 2/7 in 3, 1.9, 8/33, -549?
8/33
Which is the nearest to -1? (a) -0.4 (b) -11/14577 (c) -4/5 (d) -2/3
c
What is the closest to -0.1 in 4, -0.04, -8, 364.87, 2/13?
-0.04
Which is the nearest to -2.7? (a) -100 (b) -11/17 (c) 1/33
b
What is the nearest to 1 in 54/23, -0.019, -2, -105?
-0.019
Which is the nearest to -1? (a) -4 (b) -2 (c) 37 (d) -7488
b
Which is the closest to 19/262? (a) 10 (b) 2/55 (c) 1/4 (d) 1
b
Which is the nearest to -2/147? (a) 0.4 (b) 5 (c) 3/7 (d) 3 (e) -2 (f) 93
a
What is the closest to -1/34 in 2, 7, -129.2, 5?
2
What is the nearest to -4 in 1/9, 3/62, 3, -5, 2/21, -133?
-5
Which is the nearest to 0.2? (a) 4 (b) -2/11 (c) -377 (d) -2/23
d
Which is the nearest to -1? (a) 2 (b) -0.06 (c) -11 (d) -2 (e) -0.127
e
Which is the nearest to 3.6? (a) -407 (b) 0.115 (c) 11 (d) -1/6
b
What is the closest to 0 in 4, -1/5, -0.1, 4.8, -0.5?
-0.1
Which is the closest to 0.39? (a) 886 (b) -2 (c) -0.5 (d) 1/39 (e) -3/2
d
What is the closest to -0.0069 in -1/942, 0.9, 1/5, -4/7, 0.16?
-1/942
What is the nearest to -2.5 in 0.32, -1634, 4?
0.32
What is the nearest to -1 in 14/781, 0, 1499?
0
Which is the closest to -716.8? (a) 5 (b) -4/7 (c) 0 (d) 1854
b
What is the closest to 0 in 0.5, 2, 5671, 1.7442, -0.1?
-0.1
Which is the closest to 1/4? (a) -2 (b) 5797 (c) 5/3 (d) -32
c
What is the nearest to 6942 in -2/27, 4/9, -0.1, -1.8?
4/9
What is the nearest to -16/5 in 2/5, -101, 0.5, -0.253, -4/7, 3/7?
-4/7
Which is the closest to 959? (a) -5 (b) 0 (c) -3/4 (d) 23 (e) -1/32
d
Which is the closest to 21? (a) -0.027 (b) -1 (c) 0.2 (d) 0.01 (e) 5 (f) 3
e
What is the nearest to -1/4 in 36, -0.0583, 5, 1?
-0.0583
Which is the closest to -6.6? (a) -4/5 (b) -2/7 (c) 27387
a
Which is the nearest to 3/5? (a) -2 (b) 3029383 (c) -0.4
c
What is the closest to -181 in -0.4, 2/11, 94, 1.6?
-0.4
Which is the nearest to -1? (a) -2/13 (b) -5 (c) 0.2 (d) -65.97734
a
Which is the nearest to 1? (a) -0.2 (b) -52461 (c) 25
a
Which is the nearest to 0.1? (a) -1 (b) -6/9077 (c) 4 (d) 1/5 (e) 3
d
What is the closest to 57 in 1/4, 0.64, 3, 0.7?
3
What is the closest to -0.1 in 5, 0.5, -4290.3, -1, 0.3?
0.3
What is the closest to -2 in 8.898, -5, 0?
0
What is the nearest to 177 in 5, -2/5, -45464?
5
What is the closest to 0.1 in 0.03, -0.3, -54, -1, 10/101?
10/101
What is the nearest to -1/8 in 1/16, -0.4, -1.862, 0.1?
1/16
What is the nearest to 5/8 in 2.4, 8183, 0.4?
0.4
What is the closest to 3 in 0.13, -913, 2, 0.2?
2
What is the closest to -7 in 2, 2/41, 33882?
2/41
What is the nearest to -0.1 in -126, -11, 254?
-11
Which is the closest to -318? (a) 1.8375 (b) 0.08 (c) -3
c
Which is the nearest to 900/59? (a) 4/23 (b) -3/5 (c) 1/3
c
Which is the nearest to 616? (a) -0.049 (b) 0.5 (c) 0.1 (d) -0.5 (e) 0.4
b
What is the closest to -69 in -0.3, 380, 0.043?
-0.3
What is the closest to -4/27 in -1.04, 419, -2/7, 3?
-2/7
Which is the nearest to -127/7? (a) -0.4 (b) 3 (c) 23.3 (d) 4 (e) 0.2
a
What is the nearest to 1/2 in -0.2, -0.3, -1/3874, 3/4?
3/4
What is the nearest to -687 in 5, 4, -5, -2/23, -1/3, 0?
-5
Which is the nearest to -3? (a) 0.003 (b) 1/3 (c) 8 (d) 3 (e) -8
a
What is the nearest to -1 in 0.3, -1.6, 2/13, 0.296162?
-1.6
What is the closest to -0.2 in 2/13, -0.4, -3, 0.5, -1677/4, -56?
-0.4
Which is the nearest to 4? (a) -26 (b) -1/2 (c) -18 (d) -28
b
Which is the nearest to 2? (a) 21/8 (b) 1 (c) 127 (d) -0.4 (e) 0 (f) 3/2
f
Which is the nearest to -8? (a) -938 (b) -2/9 (c) 0.2 (d) -4/5 (e) -0.2 (f) 0.5
d
What is the closest to 3 in 3/47, 12329, -5/6, 0.2?
0.2
Which is the closest to -1532? (a) 0.5 (b) -2/9 (c) 6 (d) -3/5 (e) -71
e
What is the nearest to 0.2 in 1, -1182/17, 0.8, 0.9, -2?
0.8
What is the nearest to 0 in -5, 2, -5/3, 11899064?
-5/3
Which is the nearest to -58? (a) -0.03 (b) -2/45 (c) -0.1 (d) 0.0374
c
What is the nearest to -10/7 in 1, 0.5, -1/116068?
-1/116068
What is the closest to 0.1 in -28260, -2/207, 4, 5, 1?
-2/207
Which is the closest to 1/5? (a) 70 (b) 0 (c) -38 (d) -2/7 (e) 1/3
e
What is the nearest to -0.1 in -4, 0.3, 20.1, -9, -1557?
0.3
Which is the closest to -1? (a) -352 (b) 0.2 (c) -14 (d) 105 (e) 2 (f) -0.1
f
Which is the nearest to -0.1? (a) -1 (b) 0.3 (c) 2/63 (d) 12 (e) -2.5 (f) 1/11
c
What is the closest to 5 in -5, 1/4, 0.1, -783.8, 0.9?
0.9
What is the closest to 2/3 in -138767, -16, -0.2, -4?
-0.2
What is the closest to 0.1 in -2/17, 0, -1/43, -5, -26?
0
What is the nearest to 1.066 in -0.2, 1, 38, 5?
1
Which is the closest to 3452/3? (a) -1/2 (b) -4 (c) -84
a
What is the
|
{
"pile_set_name": "DM Mathematics"
}
|
*2 + 45147*q + 1300. Give m(34).
-26
Let r(b) = -9510*b + 142639. What is r(15)?
-11
Let d(l) = 47564*l + 523243. What is d(-11)?
39
Let r(c) = -80*c + 502. Calculate r(-11).
1382
Let v(y) = -y**3 - 97*y**2 - 568*y - 45317. Determine v(-96).
-5
Let x(g) = 2342*g + 121807. Give x(-52).
23
Let l(k) = -3740*k + 33689. Give l(9).
29
Let v(f) = 42*f**2 - 513*f - 2555. Determine v(16).
-11
Let b(y) = y**3 + 21*y**2 + 581*y + 7314. Give b(-15).
-51
Let a(r) = -3*r**3 - 252*r**2 + 261*r + 21827. Determine a(-84).
-97
Let u(o) = -23*o**2 - 47*o - 58. What is u(-8)?
-1154
Let z(p) = 10*p**3 + 8*p**2 - 23*p - 165. Give z(-4).
-585
Let q(m) = 489*m - 40153. Determine q(82).
-55
Let v(g) = -24041*g + 13871658. Give v(577).
1
Let l(k) = 1007*k + 102712. Determine l(-102).
-2
Let o(f) = 595*f - 53468. Calculate o(90).
82
Let c(t) = t**3 + 28*t**2 - 303*t + 120. Give c(8).
0
Let j(y) = -5*y**3 + 6*y**2 - 11*y + 50. What is j(5)?
-480
Let y(k) = 2*k**2 + 2209*k + 248015. Give y(-127).
-270
Let n(w) = -58846*w - 765006. What is n(-13)?
-8
Let m(x) = 5931*x + 83032. Give m(-14).
-2
Let t(z) = -2*z**3 + 28*z**2 + 557*z - 7880. Determine t(15).
25
Let p(w) = 3*w**3 - 5*w**2 - 37*w - 108. What is p(-7)?
-1123
Let f(r) = 16*r**3 - 6*r**2 + 4391*r - 8774. Give f(2).
112
Let p(z) = 21*z**3 + 120*z**2 + 671*z - 25. Give p(-6).
-4267
Let g(i) = 2135*i + 1133863. Give g(-531).
178
Let x(p) = 1814*p - 11956. Determine x(5).
-2886
Let o(g) = g**3 + 77*g**2 + 63*g + 46430. What is o(-83)?
-133
Let q(b) = -2*b**3 - 153*b**2 + 1270*b + 69131. Calculate q(-79).
6
Let i(a) = -3755*a + 4213122. Give i(1122).
12
Let t(q) = -1557*q + 99448. Calculate t(64).
-200
Let l(r) = -r**3 - 30*r**2 - 136*r - 9. Calculate l(-6).
-57
Let a(s) = -8273*s + 33113. Determine a(4).
21
Let s(t) = t**3 + 123*t**2 + 3694*t - 1671. Give s(-54).
57
Let c(r) = 318*r**2 + 283*r - 32. Calculate c(-1).
3
Let m(p) = -p**3 - 52*p**2 - 282*p - 9. Give m(-46).
267
Let k(o) = o**2 + 3734*o - 59997. What is k(16)?
3
Let s(a) = 3*a**3 - 100*a**2 + 344*a + 23. What is s(4)?
-9
Let l(a) = -1616*a**2 - 6855*a - 1566. Determine l(-4).
-2
Let u(g) = -8*g**2 + 3817*g - 30018. What is u(8)?
6
Let b(z) = 31*z**3 - 1114*z**2 - 68*z - 5. Give b(36).
139
Let g(n) = -441*n - 5929. What is g(-16)?
1127
Let o(d) = 100*d**2 - 1255*d - 17. Give o(14).
2013
Let d(l) = 6164*l - 1017070. Determine d(165).
-10
Let s(o) = -918*o + 29865. Determine s(35).
-2265
Let m(x) = 2*x**3 + 662*x**2 - 653*x + 3562. Give m(-332).
-90
Let f(l) = -3*l**2 - 129*l - 1488. What is f(-26)?
-162
Let p(f) = 12*f**2 - 852*f + 14154. What is p(45)?
114
Let x(s) = -2*s**3 - 191*s**2 - 132*s - 3511. Calculate x(-95).
4
Let q(p) = 7730*p - 37840. Determine q(5).
810
Let x(l) = -l**2 - 58*l + 583. What is x(9)?
-20
Let j(k) = 2*k**2 - 70249*k - 843273. Determine j(-12).
3
Let l(g) = -g**3 + 13*g**2 + 320*g + 39. Calculate l(-12).
-201
Let u(h) = -h**2 - 137*h - 2012. Calculate u(-18).
130
Let v(x) = -2*x**3 + 583*x**2 - 235*x - 16404. What is v(291)?
-108
Let p(b) = 22*b**2 - 109*b + 433. What is p(6)?
571
Let m(j) = 677*j**2 - 18284*j - 134. Calculate m(27).
-269
Let d(f) = -f**3 + 37*f**2 + 473*f - 174. What is d(47)?
-33
Let r(c) = -2*c**3 + 89*c**2 + 14685*c - 637010. Give r(43).
-8
Let i(d) = 14469*d - 462982. Give i(32).
26
Let j(g) = -3*g**2 - 899*g + 10238. Calculate j(11).
-14
Let y(p) = -p**2 - 2125*p + 58105. Determine y(27).
1
Let n(o) = 104*o + 3638. Determine n(-53).
-1874
Let y(r) = 3*r**3 + 32*r**2 - 252*r + 21. Determine y(-16).
-43
Let d(x) = 119*x - 1308. Give d(0).
-1308
Let z(v) = -123096*v + 861799. What is z(7)?
127
Let o(u) = -17*u**2 - 764*u + 6256. Calculate o(7).
75
Let b(l) = -7640*l - 2788594. What is b(-365)?
6
Let z(w) = -9700*w + 29650. Determine z(3).
550
Let x(u) = -18560*u - 1150744. Calculate x(-62).
-24
Let f(p) = p**3 - 571*p**2 - 133*p + 75932. Calculate f(571).
-11
Let s(a) = 711*a**3 + 19*a**2 + 952*a + 932. Give s(-1).
-712
Let o(u) = -43*u**2 - 14470*u - 7403. Give o(-336).
-11
Let v(m) = 1910*m - 317009. Determine v(166).
51
Let h(i) = -i**3 + 19*i**2 + 2095*i - 37645. Calculate h(18).
389
Let d(v) = -7*v**2 + 1836*v - 67228. What is d(44)?
4
Let v(a) = -163*a**3 - 443*a**2 + 12*a - 8. Give v(-3).
370
Let b(z) = 3330616*z + 9991821. Calculate b(-3).
-27
Let a(m) = 63988*m - 4351164. What is a(68)?
20
Let n(d) = -27979*d - 1343001. Calculate n(-48).
-9
Let p(v) = 8453*v + 456412. What is p(-54)?
-50
Let t(v) = 3714*v + 787476. What is t(-212)?
108
Let q(x) = 5*x**2 - 509*x + 3327. Give q(7).
9
Let o(h) = 5*h**2 + 40202*h - 160753. Give o(4).
135
Let a(d) = 19*d**2 + 551*d + 5033. What is a(-9)?
1613
Let j(g) = -g**3 - 12*g**2 + 289*g + 98. What is j(-21)?
-2002
Let b(r) = 51*r**2 - 690*r + 10. Give b(0).
10
Let y(b) = -107*b + 2899. Give y(28).
-97
Let j(m) = 1086*m + 62939. Determine j(-58).
-49
Let g(o) = -o**3 + 70*o**2 - 161*o + 1386. What is g(68)?
-314
Let f(m) = 137985*m + 1241861. Determine f(-9).
-4
Let t(v) = 6*v**3 - 315*v**2 - 2502*v + 9. Calculate t(-7).
30
Let n(k) = -102*k**3 - 43962*k**2 - 20*k - 8637. Determine n(-431).
-17
Let u(i) = -3*i**2 + 3583*i + 87707. Determine u(-24).
-13
Let r(t) = -71*t**2 + 1618*t - 2. Determine r(-1).
-1691
Let x(c) = -2*c**3 + 22*c**2 - 129*c + 49. Give x(7).
-462
Let k(z) = -z**2 + 149*z + 5834. Determine k(181).
42
Let x(n) = -2*n**3 + 20*n**2 + 89*n - 20. Calculate x(13).
123
Let s(j) = -146299*j + 2340781. What is s(16)?
-3
Let t(y) = 28694*y - 61146917. Determine t(2131).
-3
Let j(r) = 4*r**3 - 626*r**2 + 915*r + 2418. Calculate j(155).
93
Let h(n) = 20592*n - 123579. Calculate h(6).
-27
Let a(f) = -1434*f + 1181. Determine a(1).
-253
Let l(n) = 263*n + 1696. Give l(-7).
-145
Let c(t) = -t**3 - 83*t**2 + 1563*t + 335. What is c(16)?
-1
Let b(k) = 39*k**3 + 3240*k**2 + 240*k + 248. What is b(-83)?
995
Let a(k) = -15*k**2 - 487*k - 261. What is a(-32)?
-37
Let y(o) = 1454*o - 433493. What is y(298)?
-201
Let r(t) = 516*t**2 + 4651*t + 54. What is r(-9)?
-9
Let d(l) = -3*l**3 + 165*l**2 - 1943*l + 179. What is d(38)?
-11
Let b(w) = 162*w - 1498. What is b(9)?
-40
Let p(b) = 7427*b - 3572368. Calculate p(481).
19
Let l(b) = -3*b**2 + 765*b - 28663. Calculate l(209).
179
Let f(k) = -5*k**3 - 51*k**2 - 235*k + 20. Give f(-5).
545
Let s(y) = -40*y**2 + 19796*y - 97985. Give s(5).
-5
Let g(l) = 124*l**2 + 31514*l + 4293. Determine g(-254).
-279
Let l(r) = 31*r**2 - 1106*r + 9134. Give l(13).
-5
Let i(y) = y**2 + 16874*y + 151784. Calculate i(-9).
-1
Let v(a) = a**2 - 84*a - 274956. Calculate v(-484).
-44
Let p(k) = k**2 + 33489*k + 368251. Calculate p(-11).
-7
Let l(c) = -2*c**3 - c**2 + 33*c + 1886. Determine l(0).
1886
Let a(g) = -155*g**2 - 363*g + 361. What is a(1)?
-157
Let n(q) = 2*q**3 + 40*q**2 + 1141*q + 4964. Determine n(-5).
9
Let g(x) = -181*x + 54. Determine g(-9).
1683
Let o(a) = -5*a**3 + 23*a**2 + 322*a + 626. Give o(-3).
2
Let k(j) = -14*j**3 - 1639*j**2 - 121*j - 458. What is k(-117)?
10
Let l(z) = z**2 + 27*z - 1321. Calculate l(-52).
-21
Let a(k) = -2*k**2 + 336*k - 3709. Determine a(12).
35
Let f(p) = -134*p**2 + 28055*p + 17845. Calculate f(210).
-5
Let t(g) = 42530*g - 126571. Determine t(3).
1019
Let z(j) = -2*j**2 + 174138*j + 696589. Determine z(-4).
5
Let o(u) = -30*u**2 + 41*u + 233. Give o(-4).
-411
Let u(y) = 3*y**3 - 3885*y**2 - 7780*y - 2605. Calculate u(1297).
-11
Let j(g) = -228*g**3 + 2*g**2 + 15*g - 26. Give j(2).
-1812
Let x(b) = 716*b - 14264. Calculate x(19).
-660
Let c(v) = -6293*v + 711108. Determine c(113).
-1
Let r(l) = -l**2 + 1248*l + 534093. Calculate r(-337).
-52
Let g(o) = 2*o**2 + 12905*o - 232950. Give g(18).
-12
Let q(u) = -20*u**2 - 317*u - 9. What is q(-14)?
509
Let r(b) = -324*b**2 + 335*b + 6. Determine r(1).
17
Let i(b) = 3371*b**2 - 43796*b - 354. Calculate i(13).
-3
Let x(m) = m**3 + 42*m**2 + 49*m + 6041. Determine x(-44).
13
Let b(j) = -j**2 + 655*j - 15994. What is b(25)?
-244
Let o(c) = -c**3 - 4856*c**2 - 19416*c - 28. Calculate o(-4).
4
Let f(l) = -223511*l + 4470211. Give f(20).
-9
Let c(a) = -159903*a + 799453. Give c(5).
-62
Let p(i) = 7*i**3 - 82*i**2 + 175*i - 130. What is p(10)?
420
Let d(l) = -6*l**3 - 66*l**2 - 39*l + 33. Determine d(-7).
-870
Let b(s) = -110*s**2 - 9569*s - 27678. Calculate b(-3
|
{
"pile_set_name": "DM Mathematics"
}
|
many millilitres are there in 0.5426488l?
542.6488
How many micrometers are there in thirteen eighths of a millimeter?
1625
What is one sixth of a year in months?
2
What is twenty-one eighths of a kilogram in grams?
2625
How many minutes are there in 3/5 of a week?
6048
What is 31/2 of a litre in millilitres?
15500
What is 90.1312 millennia in centuries?
901.312
How many nanograms are there in 218.6t?
218600000000000000
How many millilitres are there in 15/4 of a litre?
3750
What is 60376.12 millilitres in litres?
60.37612
Convert 366.4711 weeks to nanoseconds.
221641721280000000
What is thirty-three fifths of a microgram in nanograms?
6600
How many millilitres are there in 7/8 of a litre?
875
What is 1/10 of a week in minutes?
1008
How many millennia are there in 7.877547 months?
0.00065646225
What is 362.2107 grams in nanograms?
362210700000
What is fourty-five quarters of a litre in millilitres?
11250
What is 47821.74 kilometers in centimeters?
4782174000
How many millilitres are there in six fifths of a litre?
1200
How many litres are there in 1.549558ml?
0.001549558
What is eighteen fifths of a litre in millilitres?
3600
How many months are there in 45/8 of a decade?
675
What is 3/10 of a kilometer in centimeters?
30000
What is twenty-nine halves of a second in milliseconds?
14500
What is 5/24 of a minute in milliseconds?
12500
What is 1220.665 nanograms in milligrams?
0.001220665
How many seconds are there in 0.0349758 hours?
125.91288
Convert 2.636237um to centimeters.
0.0002636237
What is 0.4732376 millimeters in micrometers?
473.2376
How many months are there in 3/5 of a decade?
72
How many micrograms are there in eighteen fifths of a milligram?
3600
Convert 724.5108l to millilitres.
724510.8
Convert 57.17773 days to seconds.
4940155.872
What is 8.261134l in millilitres?
8261.134
What is three eighths of a litre in millilitres?
375
How many meters are there in 6/25 of a kilometer?
240
What is eleven halves of a meter in millimeters?
5500
How many millilitres are there in 929143.3l?
929143300
Convert 83882.86m to micrometers.
83882860000
What is 21/5 of a microgram in nanograms?
4200
What is 0.1816717 days in hours?
4.3601208
What is 6/25 of a kilometer in meters?
240
Convert 17.2634 milligrams to grams.
0.0172634
How many nanograms are there in 50.66523kg?
50665230000000
What is one tenth of a gram in milligrams?
100
How many millilitres are there in six fifths of a litre?
1200
What is one tenth of a litre in millilitres?
100
How many millilitres are there in one tenth of a litre?
100
What is 3.565312 years in millennia?
0.003565312
How many months are there in 1/4 of a millennium?
3000
Convert 45894.29 grams to kilograms.
45.89429
Convert 0.290939ml to litres.
0.000290939
What is 25.437918 months in years?
2.1198265
What is 3.335569kg in nanograms?
3335569000000
What is 57.38646 kilometers in nanometers?
57386460000000
Convert 40.8159 months to millennia.
0.003401325
What is 5.598019 centimeters in kilometers?
0.00005598019
How many decades are there in 46/5 of a century?
92
Convert 271141.9 decades to years.
2711419
What is 752.1237 millilitres in litres?
0.7521237
How many months are there in 4/3 of a year?
16
How many months are there in 352.084 decades?
42250.08
What is eleven quarters of a litre in millilitres?
2750
How many millilitres are there in one twentieth of a litre?
50
How many micrograms are there in 54.37867 milligrams?
54378.67
How many kilometers are there in 34.77955 millimeters?
0.00003477955
How many months are there in 83541.72 decades?
10025006.4
Convert 6.74979 nanograms to grams.
0.00000000674979
What is twenty-five quarters of a centimeter in micrometers?
62500
How many kilograms are there in 7/4 of a tonne?
1750
How many nanometers are there in 9860.4km?
9860400000000000
How many hours are there in 4/3 of a week?
224
How many seconds are there in 6/25 of a day?
20736
What is 7731.922 nanometers in micrometers?
7.731922
How many nanoseconds are there in 78292.09 weeks?
47351056032000000000
How many micrometers are there in 1.12434nm?
0.00112434
What is 60878.2 nanograms in grams?
0.0000608782
Convert 0.0746479mm to nanometers.
74647.9
What is one fifth of a centimeter in millimeters?
2
What is 71688.1l in millilitres?
71688100
What is sixty-four fifths of a millennium in centuries?
128
How many millennia are there in 0.4975236 centuries?
0.04975236
How many kilograms are there in 48.38034mg?
0.00004838034
Convert 8.805071 micrograms to kilograms.
0.000000008805071
What is three eighths of a litre in millilitres?
375
What is 0.8451144 millilitres in litres?
0.0008451144
What is one twentieth of a century in years?
5
What is 7.510693 weeks in days?
52.574851
What is 0.9827572ug in tonnes?
0.0000000000009827572
Convert 6.073309mg to grams.
0.006073309
What is 0.6478458 millilitres in litres?
0.0006478458
What is 56589.97 millilitres in litres?
56.58997
How many milligrams are there in 1/5 of a gram?
200
What is 27/2 of a tonne in kilograms?
13500
What is 1780.6653 months in millennia?
0.148388775
What is 75271.44 millilitres in litres?
75.27144
Convert 79.69293g to kilograms.
0.07969293
How many microseconds are there in twenty-one eighths of a millisecond?
2625
What is 3/25 of a kilogram in grams?
120
How many decades are there in twenty-six fifths of a century?
52
What is 6/5 of a tonne in kilograms?
1200
How many grams are there in 13.40511t?
13405110
How many grams are there in 27/2 of a kilogram?
13500
How many millilitres are there in 740.6445 litres?
740644.5
What is 2192.48 hours in minutes?
131548.8
How many millilitres are there in 7.081637l?
7081.637
How many nanoseconds are there in one quarter of a microsecond?
250
What is 6.540844 millilitres in litres?
0.006540844
How many years are there in five quarters of a millennium?
1250
How many grams are there in 4.29437 nanograms?
0.00000000429437
How many centuries are there in 757077.8 millennia?
7570778
How many grams are there in twenty-one quarters of a kilogram?
5250
How many months are there in 74847.82 centuries?
89817384
How many months are there in four fifteenths of a decade?
32
How many years are there in 53/5 of a decade?
106
What is 0.980224ug in nanograms?
980.224
What is 43/4 of a meter in millimeters?
10750
How many micrograms are there in 8.06335kg?
8063350000
What is 3/40 of a litre in millilitres?
75
What is 0.0933246ng in grams?
0.0000000000933246
How many millilitres are there in twenty-five halves of a litre?
12500
How many months are there in one quarter of a millennium?
3000
What is 4058.115 kilometers in nanometers?
4058115000000000
What is 7/2 of a century in years?
350
How many centuries are there in 111771.8 decades?
11177.18
How many years are there in 373557.7 millennia?
373557700
Convert 87196.62 millilitres to litres.
87.19662
How many nanograms are there in five eighths of a microgram?
625
How many micrometers are there in 11/4 of a centimeter?
27500
How many litres are there in 31203.6 millilitres?
31.2036
What is 814332.2 kilometers in nanometers?
814332200000000000
How many micrometers are there in 5.255008mm?
5255.008
Convert 8.20322 milliseconds to microseconds.
8203.22
How many milligrams are there in 9/10 of a gram?
900
How many hours are there in 0.7097255 weeks?
119.233884
What is 27/5 of a litre in millilitres?
5400
Convert 2033.16 millennia to decades.
203316
What is 8.754847l in millilitres?
8754.847
What is 7/2 of a micrometer in nanometers?
3500
How many litres are there in 9.17313 millilitres?
0.00917313
How many centimeters are there in 17/2 of a meter?
850
How many months are there in seven halves of a millennium?
42000
What is 3/8 of a litre in millilitres?
375
Convert 707450.2 nanometers to millimeters.
0.7074502
How many litres are there in 0.0579985 millilitres?
0.0000579985
What is fifty-two thirds of a decade in months?
2080
What is 6/5 of a microgram in nanograms?
1200
What is 5761.728ml in litres?
5.761728
What is 6510.06 litres in millilitres?
6510060
How many micrometers are there in 0.4647672m?
464767.2
How many nanograms are there in 11/4 of a microgram?
2750
What is 5/4 of a litre in millilitres?
1250
What is 22.0943322 seconds in days?
0.0002557214375
How many millilitres are there in
|
{
"pile_set_name": "DM Mathematics"
}
|
e (-9 - -12) + 3 + -11.
-5
-5 + 1 + 4 + (-8 - -7)
-1
What is -1 - (2 + 0 + 16 + -17)?
-2
Evaluate -6 + (-1 - 0 - (-9 - -3)).
-1
-2 - (-3 + (4 - 5))
2
What is the value of (-2 - 2) + (3 - 0) + 4?
3
Evaluate (-3 - (0 + -2)) + -4.
-5
-1 + (-6 - -7) + -1 + -1
-2
What is the value of -2 - -4 - (1 + -2 + 1)?
2
What is (-1 - 5) + (7 - 0)?
1
(-1 - 3) + 1 - (34 - 35)
-2
What is the value of 4 + 2 + (-15 - -12) - 12?
-9
What is (-2 - -2 - 8) + (0 - -3)?
-5
Evaluate -13 - -25 - (24 + -1).
-11
What is the value of 20 + -6 + -8 + (-12 - -2)?
-4
What is -7 - (-9 - -12 - 10)?
0
(13 - 9 - (1 - 1)) + -3
1
Calculate 2 + -4 - (-1 - -1).
-2
0 - (-10 - -1 - -8)
1
What is the value of -8 - (7 + -8) - (1 + -10)?
2
What is the value of -4 + 5 + 0 + -4?
-3
Evaluate 10 - (0 + (-2 - -6)) - 9.
-3
Calculate 1 - (1 + -5 - -10).
-5
Calculate (2 - 1) + 1 - (18 - 21).
5
What is 2 + (1 - (-3 - (-5 - 0)))?
1
Calculate 0 + -4 - (-11 + (3 - -7)).
-3
What is the value of 9 + -18 - -14 - (4 + 1)?
0
Evaluate (-1 - 3) + -22 + 25.
-1
What is 4 - (4 - 4) - 5?
-1
Calculate 4 + 1 + (3 - 2) + -3.
3
0 + -8 + 1 + 9
2
-1 - (-6 + 2) - (-82 + 88)
-3
Calculate (-6 - -5) + (5 - 0) + 0.
4
What is the value of -9 + -8 + (13 - 3)?
-7
What is the value of -1 + (-5 - 0) + 6 + -6?
-6
What is 4 - (6 - 4 - 1) - 2?
1
-4 + (-10 - -8 - -1)
-5
(-8 - (2 - 1)) + 1 - -3
-5
What is the value of -5 - (-1 + 4 + 3 + -6)?
-5
26 - 29 - (-2 - -1) - 1
-3
What is the value of (-2 - 3) + 0 + 2?
-3
Calculate 5 - (-3 - -2) - 2.
4
What is the value of -7 - (2 + -3 - 11)?
5
4 - (0 + (-5 + 4 - -6))
-1
Calculate (-1 - 1) + 3 - (-8 + 4).
5
What is (5 - (1 + 7)) + 4 + -5?
-4
Evaluate 13 - (-5 + 4 - -8) - -4.
10
Calculate 4 - (1 - 5 - -3).
5
-6 + 2 - ((-6 - -2) + -1)
1
-2 - -2 - -7 - (7 + 7)
-7
What is the value of -8 + 17 + -12 - -1?
-2
7 - (-4 + -4 + 20)
-5
Calculate (15 - 15) + (0 - -5).
5
(-8 - (7 + -9)) + -2
-8
Evaluate 11 + -8 + 2 + -6.
-1
Evaluate -5 + (-7 - -3) + 14 - 1.
4
Evaluate -8 - -2 - (-34 - -29).
-1
-2 + 0 - 2 - -2 - 2
-4
What is -13 + (-2 - -2 - -9)?
-4
What is (-1 - 2) + (-5 - -9) + -2?
-1
What is the value of 24 + -19 + 0 + -1?
4
Calculate 4 - 4 - (4 - 2 - -3).
-5
Calculate (-3 - 0) + (-6 - -11 - 4).
-2
What is (8 - 10) + 0 + 0 + -5?
-7
Evaluate ((1 - -1) + 7 - 1) + -3.
5
What is 2 + -25 + 30 + 1 + -4?
4
Calculate 1 + -11 + 41 + -28.
3
Calculate -30 + 25 + -2 + 10 - -1.
4
Calculate (-4 - -7 - -1) + -1.
3
Calculate -2 - 0 - (-1 - 1).
0
(-1 - -2 - 2) + (-35 - -33)
-3
What is the value of -5 + -2 + 0 + -1 + 1?
-7
What is the value of -1 - (-3 + 2) - -4?
4
Calculate 7 - 10 - 1 - (4 - 7).
-1
-1 - 1 - (5 - 3 - -1)
-5
What is the value of 1 - (-1 + -6 + 12)?
-4
(-1 - 3 - -9) + -1
4
What is the value of 2 - ((-6 - -4) + 0)?
4
Evaluate -7 + (-1 + 0 - -3) + 0.
-5
Evaluate 3 - 1 - (0 + -2).
4
Calculate -1 + (15 + -7 - 9).
-2
What is the value of 1 - 2 - (10 + -10)?
-1
Calculate -6 + 5 + -11 + 6 + 4.
-2
Evaluate -2 - (-4 - -5 - (1 + -3)).
-5
What is -2 + 2 + 4 + (-1 - 1)?
2
Evaluate -6 - ((0 - 4) + 2).
-4
Evaluate (2 - (0 + 0)) + -9.
-7
Calculate -3 - -5 - (-6 + 3 - -3).
2
-18 + 1 + (6 - 1) + 6
-6
What is the value of 5 + 7 + (-11 - -1)?
2
0 + (3 - (-3 + 2)) + -11
-7
4 - (-2 + -6 + 1 + 6)
5
Evaluate 3 - (10 - 0 - 2).
-5
What is the value of -3 + -3 + 13 + -7?
0
Evaluate (-18 - -8) + 4 + 0.
-6
What is the value of -7 + (-9 - -9 - -5)?
-2
What is -1 + (-2 - -1) - (-248 - -245)?
1
What is -8 - (1 + (0 - 11))?
2
-6 - -10 - (-2 + 2)
4
Calculate -13 - -7 - 1 - -9.
2
What is 106 + -101 - (-1 - -2)?
4
What is (11 - 1) + -40 + 36?
6
Evaluate 4 - (6 + (0 - 3)).
1
Evaluate -10 + 6 + (-9 - -12).
-1
Calculate (-4 - 4 - -7) + -1 + 5.
3
What is 7 + -14 - (-1 - 5)?
-1
What is -2 + -2 - (4 - 4)?
-4
Evaluate 2 - (0 - (5 + -6)).
1
(0 - 1) + (-25 - -22)
-4
Calculate 2 + 0 + 25 + -21.
6
What is the value of 8 + -11 + -4 + 2?
-5
What is the value of -7 + (15 + -7 - 4)?
-3
47 + -50 + 2 + 0
-1
Evaluate 9 - ((-7 - -7) + 3).
6
Evaluate 0 + (-1 - 5) + 2.
-4
Evaluate (-2 + 0 - 1) + 11 + -13.
-5
Calculate -1 + 6 + (0 - 14 - -4).
-5
What is the value of (-2 - 2) + -6 + (10 - 5)?
-5
What is 3 + -10 + 2 + (14 - 8)?
1
Evaluate -4 - -5 - (2 - -3).
-4
What is the value of (0 - (-1 - 3)) + (-2 - 2)?
0
What is the value of -3 + (-13 + 14 - -1)?
-1
3 - (-6 - -5 - (1 + -4))
1
Evaluate 5 - -9 - 5 - 10.
-1
What is (-5 - -2 - 1 - -5) + -3?
-2
What is the value of -3 + (0 - 4) + 4?
-3
Evaluate 2 - (-1 + 4 - 4).
3
(-2 - 3) + 4 - -2
1
What is 1 - ((-3 - 4) + 4) - -1?
5
What is the value of 6 + 0 + -2 - (-5 - -14)?
-5
What is the value of -3 - -4 - (-5 - -2) - 0?
4
(-3 - -1) + (4 - (11 + -4))
-5
Calculate 0 + (1 - (-4 + 0 - -6)).
-1
What is -3 + -4 + 2 - 0?
-5
What is -11 + 11 + -3 + 6?
3
What is 10 + (-8 - -14 - 10)?
6
What is 7 - (-3 - -7 - -7)?
-4
(6 - (1 + 2)) + -8
-5
What is -2 - -1 - (-9 + 7)?
1
What is the value of 2 - (0 - (0 + -3))?
-1
Calculate 12 - 17 - (-2 + -3).
0
Calculate -3 + -2 + (5 - (-4 + 8)).
-4
Calculate -7 + 1 + (159 - 159).
-6
Calculate (-2 - -4) + -4 + -1.
-3
What is the value of (-6 - -4) + -2 + 1 + 2?
-1
Calculate -2 + (1 + 2 - 3).
-2
Calculate 3 + (-9 - -2) + 11.
7
What is the value of 3 + -8 - (1 + -3)?
-3
-6 + 0 - (16 + 1 - 20)
-3
What is the value of -9 + 12 - (-1 + -2)?
6
What is -1 - (-1 - -10 - 8)?
-2
Evaluate -2 - ((-2 - 1) + -3).
4
3 + (5 + -3 + -4 - -2)
3
Calculate -3 - (8 + -12 - -9) - -2.
-6
0 + (-16 - -8) + 1
-7
Calculate 39 - 35 - (1 - (-13 + 2)).
-8
What is the value of 1 + -4 - (-3 + 1)?
-1
Calculate 4 + (-1 - (-9 + 13)).
-1
What is 3 - 11 - (-6 + 3)?
-5
Calculate 1 + -3 + (4 + -7 - -9).
4
Calculate (3 - (-1 + (-3 - -7))) + -5.
-5
3 + (0 - 1) + 16 + -22
-4
1 - 2 - (-12 + 10)
1
Calculate 4 - (-3 + (5 - 2) + 3).
1
0 - (-8 + (3 - -2)) - -3
6
What is 2 + 2 + (0 - -2 - 1)?
5
What is 5 + (-6 - (-1 - 1)) + 3?
4
Calculate 7 + 1 + -7 - 7.
-6
What is the value of -2 - (-1 - (-1 + 0 + -1))?
-3
Evaluate -6 + -7 + 12 + 0.
-1
Calculate 1 + (0 - (-1 - -4)).
-2
Calculate 10 + (-15 - -8) - (-2 - -11).
-6
What is the value of 7 - (3 - -1) - (-1 + -1)?
5
What is 1 + 0 + 0 + 3?
4
What is the value of -2 + 2 + -8 + 7 + 2?
1
What is the value of -3 + 3 - (6 - 8)?
2
(-18 - -14) + (-1 - (-3 + 0))
-2
Evaluate -10 - (-1 + -5 + 1) - -4.
-1
What is the value of -2 + -2 + (5 + 0 - 2)?
-1
Calculate 0 + ((-1 - -2) + 0 - -3).
4
What is (-2 - -5) + -1 + -2?
0
Calculate 8 + (-6 - 3 - -5) + 0.
4
What is 3 + (26 - 26) + (-1 - 4)?
-2
Calculate (-12 - (-7 + (-4 - -5))) + 3.
-3
What is -2 - (-11 - (-3 + -3))?
3
(13 - 25 - -12) + 6 + -1
5
What is 1 - 9 - (-112 + 98)?
6
(-1 - 0 - -5) + 0
4
Calculate 3 - (1 - (-7 + 5 - -5)).
5
6 - (-2 + 5 + (0 - -1))
2
What is the value of 3 + -2 + 2 + -5?
-2
What is the value of -9 - -19 - (-2 + 7)?
5
Evaluate -3 + 2 + (-3 - -5).
1
-12 - -12 - (4 + 0)
-4
12 - 13 - (0 - -4)
-5
(2 - 2) + -8 + 4 + 5
1
Evaluate (1 - 1) + (25 - 24).
1
What is (7 - (16 + -15)) + -1 + -3?
2
Evaluate -2 - (11 + -16) - 7.
-4
Evaluate 5 - (-7 - 0 - (-6 - 7)).
-1
-2 + ((0 - 2) + 5 - -1)
2
(2 - (4 + -7)) + -6
-1
Evaluate -2 + -2 + (-6 + 9 - 1).
-2
What is the value of -1 + 1 + (11 - 23 - -10)?
-2
What is the value of (-3 - (1 - (-4 - -5))) + 2?
-1
What is the value of -2 - (-1 - 0) - (-1 + -1)?
1
-2 + -1 + (9 - 7)
-1
Evaluate 11 - 11 - 4 - (-1 - -3).
-6
What is -5 + (-2 - (0 - (0 - -2)))?
-5
Evaluate (5 - 6) + 3 + -6.
-4
What is -2 + -4 + 6 + -3 + -1?
-4
Calculate -4 + (0 - -5) + -6.
-5
Calculate (-4 + 3 + 0 - -3) + -2.
0
What is (0 + -6 - -3) + 6?
3
Calculate 1 + -3 - ((1 - -4) + -11).
4
Calculate 0 - -1 - (4 + 20 + -18).
-5
4 + (0 - (4 - 0)) + 2
2
Calculate 2 + 0 + -1 + (-17 - -16).
0
Evaluate -1 + 1 + 2 + (7 - 4).
5
Calculate -1 + (-4 - (-2 - -1)) + 5.
1
-1 - (6 + -2 - 3) - -6
4
What is the value of 2 - ((-2 - 2) + 1)?
5
-4 + -4 + -2 + 14
4
(-2 - -12) + (5 - 13)
2
Evaluate -5 + (-1 - (5 + -1 - 11)).
1
What is 3 + (0 - (-2 - 3 - -4))?
4
What is the value of -2 + (-4 - 0 - (5 + -12))?
1
(-1 - -8) + 0 + (-6 - -4)
5
Evaluate 4 + -1 + -2 + 2.
3
Calculate -3 + 2 + -1 - (2 - -1).
-5
2 - -4 - (0 - -5)
1
What is the value of (8 - (-9 - -24)) + 2?
-5
-30 + 14 - -17 - (-6 - -1)
6
1 - -6 - (7 - 0)
0
What is (-6 - -2) + (3 - -1)?
0
Evaluate 0 + (-5 - (-1 + -10 - -1)).
5
What is the value of -8 + 9 + -2 + -1 - -3?
1
(2 - -11) + (-12 - -2)
3
-7 - 0 - (-22 - -19)
-4
Wh
|
{
"pile_set_name": "DM Mathematics"
}
|
-9*f**3
Let g(p) = 6*p - 7. Let x be -1*(-3)/6*-10. Let w(y) be the second derivative of 7*y**3/6 - 4*y**2 - 3*y. What is x*w(j) + 6*g(j)?
j - 2
Let t(l) = -5*l + 4. Let n(a) = -1. Calculate -20*n(i) - 5*t(i).
25*i
Let d(c) = 15*c**3 - 9*c**2 - 9*c + 9. Let p(q) = 8*q**3 - 5*q**2 - 5*q + 5. Suppose 4*n + 45 = -n. Calculate n*p(y) + 5*d(y).
3*y**3
Suppose -3*u + 18 = -6*u. Let h(m) = 6 + 2*m - 4*m**3 - 9*m + 2*m**2 + 3*m**2. Let z(n) = -5*n**3 + 6*n**2 - 8*n + 7. Give u*z(b) + 7*h(b).
2*b**3 - b**2 - b
Let j(x) = -2*x**3 + 7*x**2 - 3*x + 2. Let a(f) = 5*f**3 - 15*f**2 + 7*f - 4. Calculate 3*a(w) + 7*j(w).
w**3 + 4*w**2 + 2
Let b(u) = u**3 - u**2 - u - 1. Let v(h) = -5*h**3 + 2*h**2 + 2*h - 1. Calculate -2*b(t) - v(t).
3*t**3 + 3
Let y(l) = 4*l**3 - l**2 + 5*l - 4. Let s(v) = 5*v**3 - v**2 + 6*v - 5. Give 5*s(w) - 6*y(w).
w**3 + w**2 - 1
Let x(j) = j**3 + 9*j**2 - 2*j. Let l(c) = -5*c**3 - 36*c**2 + 9*c. Give 4*l(t) + 18*x(t).
-2*t**3 + 18*t**2
Let q(i) = i**2 - 2*i - 5. Let v(l) be the first derivative of -l - 13. Calculate -q(z) + 3*v(z).
-z**2 + 2*z + 2
Let k(t) = -t - 3*t - 7 + 0*t. Let l(y) = -5*y - 8. Let q(r) = r**2 + 7*r - 10. Let f be q(-7). Let s be -1 + f*3/6. Determine s*k(z) + 5*l(z).
-z + 2
Let x(d) = d + 2. Let c(m) = m - m + m + 0. Suppose -s + 5*p = -4, 3*s - p + 5*p + 7 = 0. Suppose 2*o + 2 = 6, 5*w + 3*o - 1 = 0. What is s*x(u) + w*c(u)?
-2*u - 2
Let k(a) = -a**2. Let i(n) = -5*n**2 + n. Determine i(m) - 3*k(m).
-2*m**2 + m
Let u(c) be the first derivative of c + 0*c**2 - 2 - 1/3*c**3. Let h = -1 + -1. Let d(l) = -4*l**2 + 2. Give h*d(m) + 6*u(m).
2*m**2 + 2
Let w(v) = 3*v**2 - 2*v - 5. Let c(o) = o + 1. Determine -2*c(j) - w(j).
-3*j**2 + 3
Let m(f) be the third derivative of 1/24*f**4 - 3*f**2 + 0 + 0*f + 0*f**3. Let g(u) = u**2 + u. Let a be (2/6)/(1/3). Give a*m(x) + g(x).
x**2 + 2*x
Suppose 0 = 4*t, s - t = -4*t - 5. Let l(g) = -3*g**3. Let v(m) = -2*m**3. What is s*v(h) + 4*l(h)?
-2*h**3
Let a(z) = -4*z - 4. Let x(t) = t + 1. Suppose -2*l - 19 = -21. Determine l*a(g) + 3*x(g).
-g - 1
Let r(w) = w. Let k(p) = 45*p. What is -k(f) + 6*r(f)?
-39*f
Let w(f) = -9*f**3 + 5*f**2 + 5*f - 5. Let m(y) = -y**3 - y**2 - y + 1. Give -5*m(j) - w(j).
14*j**3
Let h(a) = -20*a**2 + 2*a. Let k(p) = p**2 - p. Determine h(x) + 2*k(x).
-18*x**2
Let w(q) = -2079*q**2 - 81*q. Let h(z) = -52*z**2 - 2*z. Calculate 81*h(n) - 2*w(n).
-54*n**2
Let s(b) = -b**3 + 5. Let t(f) = -f. Let i(x) = -4*x - 1. Let r(m) = 2*i(m) - 7*t(m). Let w be r(4). Let n(q) = q**3 - 7 + 5 - 4. Determine w*s(a) - 5*n(a).
a**3
Let d(c) be the second derivative of -c**3/3 + c**2 - 35*c. Let r(x) = -x + 1. What is 2*d(u) - 6*r(u)?
2*u - 2
Let x(a) = -2*a - 3. Let n(v) = -v + 15. Let y(k) = -7. Suppose 0 = -3*w - 0*w + 9. Let q(z) = w*n(z) + 7*y(z). Determine -3*q(s) + 4*x(s).
s
Let w(u) = 2*u - 23. Let y(a) = 2*a - 23. Give 4*w(s) - 3*y(s).
2*s - 23
Let n(s) = -9*s**2 - 2*s + 2. Let c(t) = 10*t**2 + 3*t - 3. Give -2*c(d) - 3*n(d).
7*d**2
Let d be 4 + -4 + 1*2. Let s(b) = -b - 4. Let r(t) = t + 5. Calculate d*r(j) + 3*s(j).
-j - 2
Let o(h) be the second derivative of h**3 + h**2/2 + h. Let u(b) = -5*b - 1. Let f = -19 + 23. Give f*o(j) + 5*u(j).
-j - 1
Let o(x) = x**2 - x. Suppose 2 = -m - 3*v + 14, -5*m = -2*v - 26. Let t be (-14)/10 - m/(-15). Let a(z) = -z**3 + 2*z**2 - 6*z. Give t*a(p) + 4*o(p).
p**3 + 2*p**2 + 2*p
Let z(g) = 3*g**3 - 5*g - 5. Let u(n) = -n**3 + 2*n + 2. Suppose -3*y + 10 = -5*y - a, -18 = 4*y + 3*a. Give y*z(r) - 15*u(r).
-3*r**3
Let g(q) = 3*q - 1. Let d(l) = -12*l + 5. Suppose -5*t + 0 = 45. Calculate t*g(o) - 2*d(o).
-3*o - 1
Let s(m) = 7*m - 9. Let f(q) = -q**2 + 9*q. Let c be f(5). Suppose y + 3*y - c = 0. Let x be ((-4)/(-6))/(8/(-24)). Let k(v) = 3*v - 4. Give x*s(r) + y*k(r).
r - 2
Let x = -2 + 9. Let j(y) be the first derivative of -5*y**2/2 - y + 2. Suppose -t + 13 = -2*n, -4*n + 4*t - 4 = 24. Let u(m) = -4*m - 1. Give n*j(k) + x*u(k).
2*k - 1
Let q(t) = 31*t. Let s(g) = 15*g. Determine -3*q(j) + 5*s(j).
-18*j
Let k(n) be the first derivative of 3*n**4 - 10*n**3/3 + 5*n**2 - 15. Let l(r) = -r**3 + r**2 - r. Let s = 22 - 32. Determine s*l(q) - k(q).
-2*q**3
Let b(x) = -x - 1. Let i(m) = -14*m - 4. Calculate 2*b(k) - i(k).
12*k + 2
Let k(g) = g**3 + 2*g**2 - 1. Let v(n) = n**3 + n**2 - 1. Suppose 8*y - 35 = 5. Calculate y*v(i) - 3*k(i).
2*i**3 - i**2 - 2
Let a(y) = -2*y**3 - 7*y**2 + 6*y + 9. Suppose 8*w = 13*w - 15. Let s(d) = d**3 + 3*d**2 - 3*d - 4. Give w*a(j) + 7*s(j).
j**3 - 3*j - 1
Let q = -14 - -8. Let z(n) = -n**2 - n - 5. Let m(j) be the first derivative of -j + 25. What is q*m(c) + z(c)?
-c**2 - c + 1
Let t(f) = f**3 - 6*f**2 + 8*f + 6. Let n(d) = -3*d**3 + 11*d**2 - 15*d - 11. Give -6*n(c) - 11*t(c).
7*c**3 + 2*c
Let l(i) = 5*i**3 - 15*i**2 - 15*i. Let q(u) = -u**3 + u**2 + u. Give l(m) + 15*q(m).
-10*m**3
Let l(u) be the second derivative of -u**5/10 - u**4/3 + 2*u**3/3 + 2*u**2 + 4*u. Suppose -d + 2 = 3. Let x(i) = i**2 - i - 1. Determine d*l(v) - 4*x(v).
2*v**3
Let k(f) = 336*f - 49. Let r(o) = 14*o - 2. What is -2*k(c) + 49*r(c)?
14*c
Let k(a) = 4*a**2 + 3. Let m(o) = -2*o**2 - 2. Let z(f) = f**3 + 2*f**2 + 6. Let h be z(-3). Calculate h*k(b) - 5*m(b).
-2*b**2 + 1
Let u(a) = -a**2 - 4*a + 9. Let x(z) = 2*z**2 + 6*z - 14. Determine -8*u(o) - 5*x(o).
-2*o**2 + 2*o - 2
Let p(t) = t**2. Let r(m) = -12*m**2 - 3*m. Let u(y) = 4*y**2 + y. Let f(l) = 4*r(l) + 11*u(l). Give -f(q) - p(q).
3*q**2 + q
Let o(b) = 3*b - 8. Let r(x) = 8*x - 23. Let a(y) = 17*o(y) - 6*r(y). Let g(k) = -5*k - 3. Calculate -7*a(u) - 4*g(u).
-u - 2
Let i(v) = -5*v**3 + 8*v**2 + 12*v - 11. Let j(s) = 2*s**3 - 3*s**2 - 4*s + 4. Determine 4*i(g) + 11*j(g).
2*g**3 - g**2 + 4*g
Let x(v) = 8*v. Let b(q) = -209*q. Calculate -3*b(c) - 77*x(c).
11*c
Let f(o) = -o. Let s(j) be the second derivative of -j**3/2 - j**2/2 + 2*j. What is -5*f(r) + 2*s(r)?
-r - 2
Let a(d) = 2*d - 1. Let y = -3 + 6. Suppose -3*r - 4 = 5*u - 19, 9 = y*u + 5*r. Let b(l) = l - 1. Give u*b(s) - a(s).
s - 2
Let t(r) = -r - 3. Let j(a) = a**3 + 8*a**2 - 9*a + 3. Let b be j(-9). Let w(q) = 1. Give b*w(k) + t(k).
-k
Let y(i) = i**3 + 4*i**2 - 6*i - 8. Let f be y(-5). Let p(h) = -h + 3. Let w(m) = -1. Give f*w(g) - p(g).
g
Let z(u) = 7*u + 6. Let d(t) = -20*t - 18. What is 4*d(x) + 11*z(x)?
-3*x - 6
Let k(t) = 5*t**2 + 7*t + 5. Let f(n) = 2*n**2 + 3*n + 2. Suppose -x + 4 = -0. Give x*k(g) - 9*f(g).
2*g**2 + g + 2
Let q(o) be the third derivative of -o**4/24 + 5*o**3/6 + 2*o**2. Let d(y) = y - 4. Let b be (-1 - 3)*(-1 + 0). Give b*q(z) + 5*d(z).
z
Let v(r) = r + 1. Let c(y) = 4*y**2 + 3*y - 1. Give c(d) + v(d).
4*d**2 + 4*d
Let p(r) = 3*r**2 + 1. Let a(o) = 9*o**2 + 3. What is 4*a(h) - 11*p(h)?
3*h**2 + 1
Let w(k) = -5*k - 3*k + 2*k + 4*k. Let z(r) = -5*r. Determine 14*w(x) - 6*z(x).
2*x
Let i(y) = 19*y + 1. Let z(j) = 38*j + 1. What is -5*i(s) + 3*z(s)?
19*s - 2
Let f be 6/2*(-13 + 14). Suppose 3*d - f + 9 = 3*q, -4*d = -4. Let w(u) = 3*u - 1. Let a(l) = 4*l - 1. Determine q*w(h) - 2*a(h).
h - 1
Let i(g) = -2*g**3 - g**2 + 4*g - 2. Let c(w) = -2*w**3 - w**2 + 3*w - 2. What is -4*c(a) + 3*i(a)?
2*a**3 + a**2 + 2
Let h(y) = -y**3 - y**2 - 2*y. Suppose -1 - 3 = -2*j. Suppose 4*x - 4*n = 0, 2*n = 5*x - j*n - 2. Let b(u) = -4*u**3 - 4*u**2 - 9*u. Determine x*b(a) - 9*h(a).
a**3 + a**2
Let w(y) = -5*y**3 + 3*y**2 + 4*y - 3. Let c(r) = -4*r**3 + 2*r**2 + 3*r - 2. Give -4*c(d) + 3*w(d).
d**3 + d**2 - 1
Let o be 2*1 - 0/12. Let i(n) = o + 3 - n - 2 - 2. Let u(l) = 5*l - 3. Give 3*i(b) + u(b).
2*b
Let q(s) = -2*s**3 + 20*s**2 - 6*s - 4. Let c(n) = 3*n**3 - 20*n**2 + 7*n + 5. Give -4*c(a) - 5*q(a).
-2*a**3 - 20*a**2 + 2*a
Let v(f) = f - 6. Let j(n) = -2*n + 19. Calculate 3*j(l) + 8*v(l).
2*l + 9
Let s(u) = -5*u - 4. Let p(n) = 35*n + 5. Let y(t) = 17*t + 3. Let c(x) = 6*p(x) - 13*y(x). Give 4*c(w) - 9*s(w).
w
Let r(i) = -9*i**2 - 3*i - 9. Let c(y) = 2*y + 23*y**2 - y**2 + 22 + 6*y. Calculate 5*c(t) + 12*r(t).
2*t**2 + 4*t + 2
Let a(k) = 5*k - 7. Let i(m) = 0*m**3 - 4*m - 2 + m**3 - 1. Let s be ((-4)/7)/((-48)/(-168)). Let x be i(s). Let c(n) = 2*n - 3. Give x*a(p) + 7*c(p).
-p
Let u(r) = 16*r + 1. Let l(i) = 3*i. Calculate 22*l(n) - 4*u(n).
2*n - 4
Let z(x) = x**3 + x. Let l(u) = u**3 - u**2 + 4*u. Determine l(d) -
|
{
"pile_set_name": "DM Mathematics"
}
|
biggest value? (a) 1 (b) i (c) m
b
Let n be ((-596)/(-12))/((-2)/6). Let w = n - -599/4. Let y = 13/2 + -7. What is the smallest value in w, y, 1/8?
y
Let f = -2 - -2.07. Let u = 16 - 15.57. Let t = u + f. Which is the smallest value? (a) -3 (b) -4/3 (c) t
a
Let v = -9.08 - -0.08. Let z = v + 8.94. Let o = z + -0.04. What is the third biggest value in o, 0, 2?
o
Let d(t) = t**3 + 11*t**2 - t - 13. Let x be d(-11). Let o be (2/26)/(x/(-4)). Which is the third smallest value? (a) -0.5 (b) o (c) -2
b
Let l = -16.009 - -0.009. Let m = l + 14. Which is the third smallest value? (a) 1 (b) -0.2 (c) m (d) -0.5
b
Let l = 403 - 3227/8. What is the second smallest value in 0, 0.032, l?
0
Let r be 19/39 - 1/(3 + -1). Let u = r - 23/78. Which is the biggest value? (a) 5 (b) u (c) -1/6
a
Let s be ((24/9)/(-4))/(2/66). Let c = s - -35. Let d = 505/4 - 127. What is the second smallest value in c, d, 0.5?
0.5
Let s = -535 + 531. Which is the biggest value? (a) 3/4 (b) 51 (c) s
b
Let s = 6.8 - 0.3. Let h = s - 1.5. Which is the smallest value? (a) -2 (b) 5/2 (c) h
a
Let c = -19.2 - 0.8. Let m = c + 19.7. Let a be (-5)/11 + 0 - -1. What is the smallest value in a, m, 2?
m
Let z = -2/731 + 1488/9503. Which is the second smallest value? (a) z (b) 0.03 (c) 5 (d) -0.4
b
Let g = -207.2 - -207. Let q = 6.7 - -0.3. What is the biggest value in 3, q, g?
q
Suppose -5*s = r + 8, -4 = -s - 4*s + 3*r. Let l = 0.2504 - -0.0496. What is the second smallest value in 6/11, l, s?
l
Let r be (12 - 18)*(-1)/45. Which is the fourth smallest value? (a) -1 (b) -4 (c) 39 (d) r
c
Let q = 38.23 - -0.77. Let f = q - 39. Which is the third smallest value? (a) f (b) 1/7 (c) -0.4
b
Let q = 501 - 494. What is the smallest value in -0.3, 5, q?
-0.3
Let m = 6/29 - 99/58. Let l = -0.12 - -0.19. Let j = l + -0.17. What is the second smallest value in -19, m, j?
m
Let n be (4/(-42))/((-5)/15). Let a be (-147)/(-74) + (0 - 2). Let d = -151/222 - a. What is the third smallest value in n, -1/3, d?
n
Let x = 2.49 - 2.19. Which is the third biggest value? (a) 1/2 (b) -4 (c) -0.5 (d) x
c
Let m = 8417 - 252541/30. Let d = -3/10 + m. What is the smallest value in -1, d, -2/9?
d
Suppose -10 = 3*o + 3*t - 4, 5*t = -15. Which is the third biggest value? (a) o (b) -1 (c) -5 (d) -2/13
b
Suppose 4*z - 4 = 2*q, -3*q - 2*z + 2 = 40. Let c be 1/(-3) - 272/30. Let n = c - q. What is the second smallest value in n, 4, 0.1?
n
Let k = -11.5 + 57.5. What is the fourth biggest value in 1, 0, -5, k?
-5
Let i be 5 - (-2 - (3 - (-3 - -9))). Suppose -5*z + 18 = -0*s + 4*s, -i*s = -4*z. Which is the second smallest value? (a) -2/11 (b) -5 (c) s
a
Let f = 41.5 - 42. Suppose -2*k = 3*r - 342, 6*r - 2*r = 3*k - 513. Let o be 2 - (-3 - k/(-33)). Which is the third biggest value? (a) f (b) 0.3 (c) o
a
Let j = -4 - 1. Let v be (-2)/4*(-9)/(-36). What is the second biggest value in v, -2, 4, j?
v
Let i be (2/(-3))/(2/(-6)). Let o be 6*184/30 - 2/(-10). Suppose -5*d = 12 - o. Which is the second smallest value? (a) d (b) i (c) -0.1
b
Let t = 301.86 - 306. Let y = 0.86 - t. What is the third smallest value in 4, y, -2/13?
y
Let t = 4.1 + 0.9. Let w = 3.6 + 0.1. Let n = w - 3.5. Which is the smallest value? (a) n (b) 0.6 (c) t
a
Let t = 34.8 + -35. Let j = -0.3 + 0.5. Let i = -1.2 + j. Which is the second smallest value? (a) -2/5 (b) i (c) t
a
Let u = 1.34 - 1.44. Which is the smallest value? (a) -0.2 (b) 5 (c) u
a
Let x = -2.95 - 0.45. Let j = -2.94 - 0.06. Let l = x - j. What is the biggest value in -4, 0.2, l?
0.2
Let i be 9/(-6)*20/15. Let h = 1.16 - 6.16. What is the third smallest value in h, i, 0.2, -1?
-1
Let u be -2*(-9)/(-18)*-5. What is the second biggest value in u, -1, 0.2, 14?
u
Let g = 3.0321 + -0.0321. Which is the third smallest value? (a) g (b) -2 (c) -1/7 (d) 3/11
d
Suppose 0 = -8*g - g - 117. Which is the second biggest value? (a) g (b) 6 (c) -0.4
c
Let n be (-150)/(-1700) + 1 + -1. What is the biggest value in -0.3, 2/5, -1/3, n?
2/5
Let x = 4241/3 + -1457. Suppose 0 = 5*v - 20, v - 2*v = 2*w + 84. Let m = w - x. Which is the smallest value? (a) 1 (b) 4/5 (c) m
c
Let g = 55.99 + -57. Let p = g + 0.61. Let a = -0.2 + 2.2. What is the third biggest value in -1.4, a, p?
-1.4
Let z = -42 + 41. Let d = z - -2. Which is the biggest value? (a) d (b) -0.4 (c) 0
a
Suppose 29 = -5*o + 4. Which is the third smallest value? (a) o (b) -3/7 (c) 0.3 (d) -1/16
d
Let d(k) = -k + 4. Let s be d(2). Let m = -3.24 + 3.04. Which is the smallest value? (a) s (b) -1/2 (c) m
b
Let y(d) = -2*d + 22. Let g be y(10). Suppose -g*s + o = -2*o + 11, 0 = s + o + 3. What is the third biggest value in -2, 5/2, s?
s
Let j = 0 + -0.1. Let t = 1148/3 - 382. Which is the second biggest value? (a) t (b) -0.3 (c) j (d) 3
a
Let k = 0.161 - -0.579. Which is the fourth smallest value? (a) k (b) 2/5 (c) -0.3 (d) -5
a
Let f = 47.749 - 47.8. Let q = -0.3 + 0.5. What is the biggest value in f, q, -0.5?
q
Let l = 808 - 812. Which is the smallest value? (a) -5 (b) -3/7 (c) l
a
Let m be (-4)/30 + 256/120. Which is the smallest value? (a) 3 (b) 0.3 (c) m (d) -2
d
Let n = 95 - 45. Let y = n + -49. Which is the smallest value? (a) 4/5 (b) y (c) 0.1
c
Let n be (-2 + -10)*6/(-12). Suppose -18 = -n*j + 3*j. Let k(s) = -2*s + 5. Let f be k(4). Which is the second smallest value? (a) j (b) -2/15 (c) f
b
Suppose 18*l = 15*l - 6. Let n = -0.01 - 8.69. Let y = -9 - n. Which is the third biggest value? (a) l (b) y (c) 0.2
a
Let q be (3 - -1)/(13/((-455)/(-20))). What is the fourth biggest value in q, -1/3, -2/7, 2/5?
-1/3
Let c = -258 - -254. What is the biggest value in 4, 29, c?
29
Let d = -2.2 + 2. Let v = 0.2 - d. Let x(c) = -5*c**3 - c**2 + 3*c - 2. Let l be x(1). What is the third smallest value in l, -0.14, v?
v
Let j = 46 + -48. Let s = -7/3 + 31/12. What is the fourth smallest value in -2/9, s, j, 0.1?
s
Let l = 3.1 - 16.1. Let m = l + 12.4. Let u = -1.1 - m. What is the second smallest value in 0, u, 5?
0
Let m = 10 - 9.98. Let u = m - 2.02. What is the second smallest value in 3/4, u, 6?
3/4
Let r = -0.9 + 1.1. Let y = -527 + 529. Which is the third smallest value? (a) 49 (b) r (c) y
a
Let u = 10 + -6. Let z = -35.023 - -0.023. Let p = -35.01 - z. What is the second smallest value in 1/2, p, u?
1/2
Let n be -1 + -6 + 0/15. Let j(l) = -l**2 - 10*l - 17. Let o be j(n). Which is the third smallest value? (a) o (b) -1 (c) -5
a
Let s = -0.528 + 0.728. Which is the third smallest value? (a) s (b) -4 (c) 0.03 (d) 2
a
Let x = 481/5 - 96. Let k(b) = b**3 - 7*b**2 + b - 10. Let r be k(7). What is the smallest value in x, r, -4?
-4
Let y = 0.116 + 0.064. What is the smallest value in 5, y, 1/3, -0.3?
-0.3
Let t = -15/22 - -19/22. Let q = 0.12 + -3.52. Let v = q - 0.6. What is the smallest value in v, 1/3, t?
v
Suppose -22*z + 30 = -32*z. Let h = -60/31 - -1205/62. Let l = h - 65/4. Which is the third smallest value? (a) z (b) -3/4 (c) l
c
Suppose h + 0 = -3. Let t be h/4*4*-6. Let j be (-40)/45 - (-4)/t. What is the biggest value in j, -0.3, -2/5?
-0.3
Let f = 5.22 - 1.22. Which is the biggest value? (a) 0.3 (b) 0.4 (c) -32 (d) f
d
Let x = 14 + -10. Suppose 0 = -20*d + 21*d + x. Let f be (0 + 7 - -2) + d. Which is the second smallest value? (a) f (b) -1 (c) -0.5
c
Let d = 6 + -13. Let l be (1/d)/((-3)/(-7893)). Let i = -375 - l. What is the third smallest value in 0.2, i, -2/9?
i
Let w be 0/3 + (-4)/14. Let m be 1*-2 + -6 + -7. Let j be (-12)/(-4) - m/(-6). What is the second smallest value in j, 3, w?
j
Let f(p) = p - 4. Let t be f(5). Let m = 1.6 - 1.5. Let v = 2.9 + m. Which is the smallest value? (a) 5 (b) v (c) t
c
Let s = -5.2 - -3. Let m = s - -1.8. What is the third biggest value in 1/5, -2/3, m?
-2/3
Let t = -320 - -320.4. Which is the fourth biggest value? (a) t (b) 0.1 (c) 0.5 (d) 1
b
Let p be 0*((-1)/(-2) + -1). Let n = 7.822 + -6.822. What is the third smallest value in 0.4, p, n?
n
Let o = 897 - 897.1. Which is the smallest value? (a) -3.9 (b) o (c) -4/5
a
Let g = 4.2 + -2.2. Let v = g + -1.6. Let u be 1/((-57)/6*1). What is the biggest value in u, 0.3, v?
v
Let v = -1633 - -1628. Which is the smallest value? (a) 5 (b) -0.
|
{
"pile_set_name": "DM Mathematics"
}
|
1298. Is t a multiple of 12?
False
Let w = -123 - -226. Is 92/(-20) - -5 - w/(-5) a multiple of 7?
True
Let p(m) = -m**2 + 107. Let c = -16 - -16. Does 24 divide p(c)?
False
Let t be (0 + 1)/1 - -4. Let j be 1 + (-1 - (-35)/7). Suppose j*d - 79 = -2*w, t*w - 2*d - d - 213 = 0. Does 7 divide w?
True
Let y = 55 - -19. Is 38 a factor of y?
False
Let f(u) = u**3 + 5*u**2 - 2*u + 3. Let i be f(-6). Let k be (-91)/(-2 - 9/(-3)). Let z = i - k. Is z a multiple of 14?
True
Let q = 317 + -17. Is q a multiple of 10?
True
Let w(y) be the third derivative of -y**6/120 - y**5/10 - y**4/3 - y**3 - 9*y**2. Is w(-7) a multiple of 33?
True
Suppose 3*m - 1593 = -3*h, 0 = -2*h + 2*m + 3*m + 1041. Is h a multiple of 17?
False
Let f(m) = 2171*m + 85. Does 48 divide f(1)?
True
Suppose -5*y - 6 = -21. Let h(i) = -i - i + 4 + 5 + y*i. Is h(7) a multiple of 6?
False
Suppose 330 = 28*v - 25*v. Let k be (-550)/(-14) - 4/14. Let y = v - k. Does 20 divide y?
False
Let b(x) = 3*x**2 + 2*x + 3. Let o(z) be the first derivative of z**3/3 + 3*z**2 - 3*z + 4. Let q be o(-6). Is 8 a factor of b(q)?
True
Let y(q) = q**2 - 12*q - 22. Let u be y(10). Is ((-50)/(-6) - -5)*u/(-8) a multiple of 5?
True
Suppose 0 = 4*v - 388 + 220. Is 7 a factor of v?
True
Let d = -32 - -82. Let w = -46 + d. Does 3 divide w?
False
Suppose 5 - 17 = -3*c. Suppose 0 = c*d + o - 25, -o = 2*d + d - 20. Suppose -d*t + 2*r + 134 = 0, 2*r = -t + 8 + 14. Does 17 divide t?
False
Let o(c) = -78*c - 2. Let q be o(-1). Suppose -b - 24 = -q. Is 26 a factor of b?
True
Let o = -147 + 100. Let g = 131 - o. Let x = -112 + g. Does 33 divide x?
True
Let a be (-1 + 514/6)/(10/15). Let w = a - 62. Does 5 divide w?
True
Suppose 4105 + 1034 = 9*r. Suppose 3*z - r = q, -917 + 163 = -4*z + 5*q. Is z a multiple of 18?
False
Suppose -4*v = 8 + 40. Is ((-20)/3)/(4/v) a multiple of 4?
True
Suppose -5*w + m + 12483 = 0, -158*w + 163*w - 12495 = -5*m. Is 92 a factor of w?
False
Let n(x) = x**3 - 8*x**2 + x - 3. Let i be n(8). Does 10 divide i/(-3 - (-192)/63)?
False
Suppose -20 = 4*c, -y + 205 = 2*c - 24. Is y a multiple of 30?
False
Let n be (-1)/2*(-5 - 117). Suppose 0 = -3*w + g + 9 + 7, 3*w + 3*g = 12. Suppose 5*z - 4*u = n, -w*u - 2 = 4*z - 2*z. Does 2 divide z?
False
Suppose 3*y = -4*h + 2*y - 193, 0 = 3*h - 2*y + 142. Does 12 divide (-142)/(-12) + (-8)/h?
True
Suppose -1 + 16 = 3*u. Suppose u = -r - 5. Is 9 a factor of r/(-50) - 94/(-5)?
False
Let o(a) = a**2 + a - 69. Is 3 a factor of o(-19)?
True
Let b = -393 + 509. Does 4 divide b?
True
Let l be ((-1218)/(-30) - 4) + (-3)/5. Suppose 2*f = l + 4. Is 10 a factor of f?
True
Suppose 0 = 5*n - 5875 - 170. Is n a multiple of 39?
True
Suppose 3*l - f = -5*f + 40, 0 = -2*l - 3*f + 27. Let b be (-20)/6 - l/18. Is 4 a factor of b/(-4) - (0 - 3)?
True
Let j(k) = -3*k + 51. Let n be j(17). Suppose 5*h = 0, n = -5*c + 3*c - 5*h + 352. Is c a multiple of 22?
True
Is 11 a factor of ((-1595)/(-116))/((-1)/(-16))?
True
Suppose 7132 - 1027 = 33*j. Is 3 a factor of j?
False
Let w be 0*(-1)/(-3) - -14. Suppose -4*r = 3*l - 2 - w, 9 = 2*l + r. Is 12 a factor of 2/l + (-69)/(-6)?
True
Let d be (-18)/63 - (195/21)/(-1). Suppose 4*v = -v + 2*a + 226, d = -3*a. Does 22 divide v?
True
Let r be (4/6)/(2/9). Suppose -4*j - a = -101, 3*j - 47 = 2*a + r*a. Is 16 a factor of j*(3 + -2 + 1)?
True
Let o(c) = -c**3 + 6*c**2 + 4*c - 8. Let k be o(6). Suppose -k = 5*h + 4*u, -h - 2*u + 1 = 9. Suppose 34 = 3*s - 4*n, -s + 2*n + n + 13 = h. Does 5 divide s?
True
Let t be (4/10)/((-3)/(-15)). Suppose -3*o = 3*h - 2*o - 26, t*h - 4*o + 6 = 0. Is (h - -1) + -1 + -1 a multiple of 6?
True
Suppose 7*a - 12459 = -4213. Does 19 divide a?
True
Suppose -5*x = -4*s + 74, 6 = -4*s - 10. Let w = x + 21. Let i = w + 15. Is i a multiple of 9?
True
Let l = 3172 + -2123. Is 19 a factor of l?
False
Suppose k - 3*k = 4. Suppose -5*z + 4*c + 137 = 0, -z - c + 5 = -26. Let h = z + k. Is h a multiple of 9?
True
Is (1 + (0 - 3))/((-6)/651) a multiple of 35?
False
Let o(q) = q**3 - 8*q - 7*q**2 + q**2 - 7 - 2*q**2. Let f be o(9). Does 21 divide (-68)/(-8)*4 - f?
False
Let g = 75 + 165. Does 24 divide g?
True
Suppose 2*f - 5 = -1. Suppose 0 = -n - 2*j + 13, -f*j = 4*n + 2*j - 40. Suppose 0 = -6*b + n*b - 5. Is 5 a factor of b?
True
Suppose 5*s - 3437 + 307 = 0. Is s a multiple of 20?
False
Let c = 3390 - -754. Is c a multiple of 74?
True
Suppose -5*k = 3*a - 1413 - 1253, -k + 538 = 3*a. Does 17 divide k?
False
Let f = -120 + 460. Suppose 4*x + x - f = 0. Suppose -4*p - 5*g = -127, 2*p - x = 2*g - 0*g. Is p a multiple of 33?
True
Let o = 40 - 35. Suppose 0 = 2*k - 0*k - 5*t - 8, 3*k - 37 = -o*t. Does 2 divide k?
False
Suppose 2 = 5*g + 3*y - 11, -4*g = 2*y - 10. Let k(n) = -5*n**2 - n**2 + 69 - g*n + 7*n**2. Is k(0) a multiple of 33?
False
Let l = 7 + -11. Let o(x) = -x**3 - 2*x**2 + 5. Is o(l) a multiple of 12?
False
Suppose 2*r = -2*r + 248. Let d = 51 + -35. Suppose -r = -h - d. Is h a multiple of 12?
False
Let y be 1 - (1 - (1 - 0)). Let a(i) = 20*i + 2 - 11*i - i + 5*i. Is 5 a factor of a(y)?
True
Let w(a) = a**3 - 34*a**2 + 4*a - 28. Does 3 divide w(34)?
True
Let d = 8 + -5. Suppose -5*p - d*j + 0*j + 140 = 0, 0 = 2*p - j - 67. Does 20 divide p?
False
Suppose x - 3*d - 746 = 0, 0 = 5*x - 2*d - 4428 + 724. Does 19 divide x?
False
Is 84 a factor of (-9)/(-6) + (-805)/(-30)*51?
False
Suppose 19 = a + 17. Suppose 2*p + a*p = 0. Suppose p*q = 2*q - 88. Is 19 a factor of q?
False
Suppose 52*z + 29843 - 122143 = 0. Does 25 divide z?
True
Suppose 4794 = 3*q + 2*w, -2 + 11 = 3*w. Is q a multiple of 19?
True
Let t(l) be the third derivative of l**6/120 + l**5/6 + 11*l**4/24 + 5*l**3/6 + 11*l**2. Let n be (-1 - -8)*(0 - 1). Is t(n) a multiple of 16?
False
Let w = 1431 + -1040. Is 2 a factor of w?
False
Is 67344/132 - 2/11 a multiple of 34?
True
Suppose 3 + 1 = -4*o. Let b(i) = -i**2 + 10*i - 6. Let f be b(9). Does 24 divide 24*(f - o - 3)?
True
Let h = 12 + -9. Suppose 5*y + 3*n = 925, h*y - 3*n = n + 555. Suppose -4*c + 5*z = -y + 53, 0 = 2*c + 4*z - 66. Is c a multiple of 16?
False
Suppose 5*i = -5*n + 1275, -n + 820 - 53 = 3*i. Suppose i = 2*d + 5*f, 2*f + 41 + 599 = 5*d. Is d a multiple of 32?
True
Let u(i) be the first derivative of -i**4/4 + 2*i**3/3 + i**2/2 - 5*i + 6. Is 5 a factor of u(-3)?
False
Suppose -6*x + 37 = -5. Suppose x*l - 4*l = 27. Is l even?
False
Let g(b) = b + 1. Let o(m) = -12*m - 36. Let h(a) = 6*g(a) + o(a). Is 20 a factor of h(-15)?
True
Let w(o) = o + 11. Let j(x) = x**3 + x**2. Let m(p) = -5*p**3 - 3*p - 8. Let q(c) = 6*j(c) + m(c). Let l be q(-6). Is w(l) a multiple of 7?
True
Let u = 551 + -199. Is u a multiple of 32?
True
Suppose 0 = 5*l - 131 - 189. Let u = 87 - l. Is u a multiple of 23?
True
Suppose 2*y - 5*y + 18 = 0. Suppose 7*z - 8*z = 51. Does 16 divide 0 - (z + -3 + y)?
True
Let f = -18 - -20. Suppose -3*t = -3*h + 300, -398 = -2*h - 2*h + f*t. Does 33 divide h?
True
Suppose -2*x = -7*x + 100. Suppose -5*u + 35 = 5*n, x = 2*u - 0*u - 4*n. Is 3 a factor of u?
False
Let x(s) = -3*s + 74. Does 4 divide x(15)?
False
Let o(r) = 5*r - 8. Let y be o(10). Suppose d - 7 = 2*m + 5, y = 5*d - m. Let x = 74 + d. Is x a multiple of 14?
False
Let c(y) = -4*y - 3. Let i(v) = v + 1. Let p(q) = -c(q) - 5*i(q). Let z be p(6). Let k = z + 26. Is 6 a factor of k?
True
Let z(x) = 4*x**2 - 6*x - 8. Is 8 a factor of z(8)?
True
Let v = 329 - 257. Does 3 divide v?
True
Suppose -9*r + 66 = -6*r. Let p be (-14)/77 - (-334)/r. Suppose y + 2*t = 10, 7 + p = y - 4*t. Is y a multiple of 4?
False
Let q = 24 - 24. Suppose 3*n - 8*n + 10 = q. Suppose n*m + 120 = 5*m. Is m a multiple of 13?
False
Is 9 a factor of -1*(1624/(-4) + -7)?
False
Suppose 0 = -24*p + 54706 + 16814. Is p a multiple of 51?
False
Suppose 11*w + 119 - 1274 = 0. Does 15 divide w?
True
Suppose -5*v + 1019 = 2*d, d + 3*d - 2033 = -5*v. Does 39 divide (-4)/2*d/(-26)?
True
Suppose 7 = q - 4*u - 125, 2*q - 3*u = 274. Is q a multiple of 14?
True
Suppose -3*j = -3*f, 2*f + 4*j - 21 = -f. Suppose u + 467 = f*a, -2*u - 781 = -5*a + u. Is 15 a factor of a?
False
Let l = -434 + 644. Is 9 a factor of l?
False
Let s = -646 + 913. Is s a multiple of 2?
False
Let w(h) = 5*h + 79. Let z(c) = -3*c - 40. Let x(s) = 4*w(s) + 7*z(s). Let i be (7 - (-5 - 3))*(1 - 0). Does 12 divid
|
{
"pile_set_name": "DM Mathematics"
}
|
506 - -515. Calculate the greatest common factor of p and 2.
1
Suppose -2*h - 3*o + 84 = 0, -3*h - 4*o = -148 + 24. What is the highest common divisor of h and 228?
12
Let f = -379 + 787. Calculate the greatest common divisor of f and 255.
51
Suppose 5*b - 5*i - 205 = 0, -198 = 27*b - 32*b - 2*i. What is the greatest common factor of b and 184?
8
Let q be (-4 - -3 - 2) + 79 + -4. Calculate the highest common factor of q and 54.
18
Suppose 0 = 5*j - b - 81, -b = -j + b + 18. Let z = 28 - -52. What is the greatest common divisor of j and z?
16
Let c = 30 - 15. Suppose -2*m = -g - 359, -10 + 0 = -2*g. Suppose 2*w - m - 122 = -5*a, 5*a - 292 = 4*w. What is the greatest common divisor of c and a?
15
Suppose -2 = -19*z + 17*z. Let t be -1*41*(z - 6). What is the highest common divisor of t and 41?
41
Suppose 89*i = 77*i + 144. What is the greatest common factor of 78 and i?
6
Let r = 560 + 154. What is the greatest common divisor of 42 and r?
42
Let h = -13 - -19. Suppose 0 = x - h - 4. Let l be (0 - 16)/((-1)/5). What is the highest common divisor of x and l?
10
Let u be 2380/25 - ((-238)/35 - -6). Calculate the greatest common factor of 40 and u.
8
Suppose -18*k = p - 17*k - 59, -5*k - 209 = -3*p. Calculate the greatest common divisor of p and 126.
63
Let c be ((-70)/(-5))/(2/(-10)*-2). What is the highest common divisor of c and 40?
5
Let c(w) = w + 21. Let y be c(-9). Let z(i) = 2*i - 2. Suppose 0 = 4*q, 4*q - 10 = -b - q. Let f be z(b). What is the highest common divisor of y and f?
6
Suppose 9*c - 781 - 38 = 0. Calculate the highest common factor of 13 and c.
13
Suppose -72 = -2*m + 2*u, -2*u - u = 5*m - 212. Calculate the highest common divisor of 440 and m.
40
Let p = 38 + -27. Let u = p - 9. Let v = 30 - 20. What is the highest common factor of v and u?
2
Let n = 492 + -481. What is the greatest common factor of n and 726?
11
Let u = 519 + 327. What is the highest common divisor of u and 470?
94
Let i be 51/(-85) + 23*12/10. What is the highest common factor of 4 and i?
1
Let b(n) = 3*n**2 - 21. Let v be b(4). Calculate the greatest common factor of 81 and v.
27
Suppose 5*a = -u + 57, 3*u - 6*a - 153 = -3*a. Suppose -4*w + 0*w - u = 0. Let v = w + 15. What is the highest common factor of 8 and v?
2
Let t(g) = 5 + 20 + 2*g + 55 - 15. Let c be t(-25). Calculate the greatest common divisor of 25 and c.
5
Suppose 4 = 3*w - 5*w. Let c be (-180)/(-16)*(2 - w). What is the highest common divisor of c and 15?
15
Let l = -5 + 7. Let r = 10 - l. Let f be 0 - 0 - (-16)/r. Calculate the greatest common factor of f and 2.
2
Let r(b) = 4*b**2 + 39*b - 42. Let v be r(-15). What is the greatest common divisor of 455 and v?
91
Let v be 69/12 + (-9)/12. Suppose -v*u = 5*s - 1720, 2*s - 427 - 255 = u. What is the greatest common divisor of 38 and s?
38
Let w = 53 - -99. What is the highest common divisor of w and 228?
76
Let q(a) = -28*a - 2. Let f be q(-1). Suppose l + 8 = f. Calculate the greatest common divisor of 18 and l.
18
Let p(g) be the first derivative of g**2 + g - 1. Let x(l) = -l**2 + 6*l - 3. Let w be x(5). Let i be p(w). Calculate the greatest common factor of 25 and i.
5
Let i(q) = 8*q - 30. Let h be i(9). Suppose 3*g + h = 4*g. What is the highest common divisor of g and 14?
14
Let n be ((-1272)/530)/((-634)/(-640) + -1). Calculate the highest common factor of n and 4.
4
Let p(x) = x**3 + 6*x**2 - 25*x + 6. Let t be p(7). What is the highest common factor of t and 36?
36
Suppose -3*g + 100 = 2*o - 2*g, 100 = 2*o + 2*g. Calculate the greatest common divisor of o and 325.
25
Suppose 0*w = -2*w + 44. Let x(o) = -o**3 - 12*o**2 - 22*o + 13. Let h = -94 - -84. Let g be x(h). Calculate the greatest common factor of w and g.
11
Suppose -2*k = 2*b - 90, 0 = 4*k - 2*b - 2*b - 172. What is the greatest common factor of k and 88?
44
Suppose -5*j = -n, 14 = -4*j - 3*n + n. Let p(y) = -36*y + 0 + 0 - 6*y. Let q be p(j). What is the highest common divisor of q and 14?
14
Let r be 5672/22 - (-12)/66. Let q = r + -390. Let m = 260 + q. Calculate the highest common factor of 16 and m.
16
Let m(g) = 44*g**3 + 3*g + 8. Let x be m(9). Let y be (-9)/(-72) + x/8. Let n be 1/4 + y/72. What is the greatest common divisor of 7 and n?
7
Suppose 3*f - 6*n - 182 = -n, 4*n + 56 = f. Suppose -27 = 3*o + 3*x, -x = -0*o - 2*o - 18. Let g be 3*12*(-2)/o. Calculate the highest common factor of f and g.
8
Let a(u) = -4*u + 13. Suppose 0*p + 3*p + 6 = -2*o, -2*p + 4 = 0. Let n be a(o). Suppose 3*h + 16 = n. What is the highest common factor of h and 7?
7
Suppose -x - o + 24 = 0, 4*x + 0*o + o - 105 = 0. What is the greatest common divisor of 135 and x?
27
Let u = -580 + 755. What is the highest common factor of 75 and u?
25
Suppose -2*s + 20 = 2*z, -2*z = 3*s + 2*z - 30. Let u(d) = d**3 - d**2 - 5*d + 5. Let t be u(5). What is the highest common factor of t and s?
10
Let u(b) = 3*b**2 - 2*b + 5. Let o = -2 + 4. Let p be u(o). Calculate the highest common divisor of p and 91.
13
Let p(a) = 11*a**3 + a**2 - a + 1. Suppose -3 = -b - 2*b. Let h be p(b). Suppose -3*y = 0, -w = 3*y + 3 - 7. What is the highest common divisor of h and w?
4
Suppose -16 = s - 14. Let x be (-6)/((-24)/(-7))*24/s. What is the highest common divisor of x and 3?
3
Let o be ((-520)/(-24))/(0 - 3/(-90)). What is the highest common divisor of o and 26?
26
Let f = 44 - 42. Suppose p - 2*u = 2*u - 5, f*u - 70 = -4*p. What is the highest common divisor of p and 120?
15
Suppose 2*t - 1545 = -t. Let i = -599 + 337. Let b = t + i. Calculate the greatest common divisor of 23 and b.
23
Let w be 90/24*(-24)/(-9). Suppose 4*z + w = -q, -3*q - 2*z = -5*z - 30. Suppose 0*u = -u + q. What is the highest common divisor of u and 3?
3
Let u = 2247 + -1303. Calculate the highest common factor of u and 59.
59
Let d be ((-2 - 9) + 5)*(-7)/2. Suppose 4*r = 356 - 104. What is the highest common factor of r and d?
21
Suppose -28 = 2*p - 4*p. Let s be 4/p - (0 - (-666)/(-21)). What is the highest common factor of 4 and s?
4
Let h(s) = s - 5. Let g be h(-3). Let p be (-18 - 0)*4/g. Calculate the highest common divisor of 9 and p.
9
Suppose 27 = 35*v - 32*v. Calculate the greatest common factor of v and 24.
3
Let h(q) = q**3 + 16*q**2 + 47*q + 37. Let k be h(-11). What is the highest common divisor of k and 40?
5
Let q = -1587 + 1821. Calculate the highest common divisor of q and 54.
18
Let o(p) = p**2 + 9*p + 53. Let n be o(-10). What is the highest common factor of n and 7?
7
Let r = -14 - -34. What is the highest common divisor of r and 25?
5
Suppose -m - 2*z = -0*m - 816, -2433 = -3*m - z. Calculate the highest common divisor of m and 30.
30
Let x(q) = 27*q - 2. Let t = 30 - 29. Let a be x(t). Suppose -2*f - 6 = -4*k + 18, 4*f - 12 = -4*k. What is the greatest common divisor of a and k?
5
Let w be 3 - (1 - 7 - 17). Calculate the highest common factor of w and 6.
2
Let o(k) = 6*k**2 + 2*k - 4. Let l be o(2). What is the greatest common divisor of 9 and l?
3
Suppose -7 - 1 = -4*i - 4*v, -6 = 4*i - 3*v. Suppose -4*w + b + 20 = i, -b - 8 = -0*w - w. Calculate the greatest common divisor of w and 10.
2
Suppose 177 = 4*x + 5*o, -3*x - 2 = 3*o - 131. Calculate the highest common factor of x and 494.
38
Suppose -2*f - 112 = -0*z - 2*z, f = 5*z - 272. Calculate the highest common factor of z and 30.
6
Let g be 2/10 - 114/(-30). Suppose 5*t + 4*m = 40, 0 = -g*t + m + 3*m - 4. Suppose -t*o + 3*o = -2. What is the highest common factor of o and 2?
2
Let n be (3/1)/(3/5). Suppose h - 2*c - 115 = 0, -6*h + n*c = -h - 550. Calculate the greatest common divisor of 42 and h.
21
Suppose 0 = -38*c + 34*c + 3*r + 89, -53 = -3*c + 5*r. Let k(a) = 201*a - 2. Let f be k(3). Let j = f - 419. What is the highest common factor of j and c?
26
Let m = -12 + -18. Let q = m - -42. Let n be (-2)/(-4) + (-355)/(-10). What is the highest common divisor of q and n?
12
Suppose 5*a = -0*v + 3*v + 13, -5*v - 2*a + 30 = 0. Let p be (v - 4) + -1 + -4861. Let i be p/(-88) + 3/4. What is the highest common divisor of 7 and i?
7
Let y(v) = 11*v - 3. Let i be y(3). Let m = -776 - -788. What is the highest common factor of m and i?
6
Let l = 0 + 3. Suppose 28*q = 18*q. Suppose q*n = l*n - 12. What is the greatest common divisor of n and 12?
4
Let x = -114 + 127. Suppos
|
{
"pile_set_name": "DM Mathematics"
}
|
et g(s) = -12*s + 11*s - 2 - 1 - 3. Let r be g(-10). Let f be 2/8 - 34/40. Which is bigger: f or r?
r
Let c be (33/(-15) + 1)/((-1)/10). Let t be 40/(-3)*c/(-5). Which is smaller: 34 or t?
t
Let c = 10 - 8. Suppose -3*f = -d + c, 3*d + 8 = d. Let g be ((-30)/(-27))/5 + 22/(-18). Which is greater: g or f?
g
Let r(l) = -19 + 3*l + l - 4*l + 5*l. Let z be r(5). Which is greater: 5 or z?
z
Let m be ((-4)/12)/((-5)/6). Suppose 138*w = 52*w. Is m at most w?
False
Suppose -20 = 5*g + 2*u, 19 = -g - 4*u - 3. Let n = -2.58 - -2.68. Which is bigger: n or g?
n
Let y be 4/6*18/258. Let d be (-2)/7 + 120/28. Suppose 2*f = v + d, -v = 4*f - 3*f + 4. Which is smaller: f or y?
f
Let r(j) = j + 1. Suppose -g + 3*n - 16 = 0, 0 = -3*g + n - 4 - 4. Let h be r(g). Let y be ((-23)/253)/(2/(-22)). Which is smaller: y or h?
h
Let v be ((-36)/(-30))/(1/5). Suppose -v*b + 60 = -3*b. Suppose 4*s = -s - b. Is -5 >= s?
False
Suppose 30*c = 38*c + 120. Which is greater: c or -19?
c
Let a(n) = 3*n + 59. Let p be a(-18). Let l be (10/p + -1)*39. Which is smaller: 38 or l?
38
Suppose -3*x + 3*c = -6, 4*x + 13 = 2*c - 5*c. Let k(o) = -4*o**2 - 2*o - 2. Let q be k(x). Let s be (q + 0 - -2) + 1. Which is bigger: -2/11 or s?
-2/11
Let z(q) = 70*q**2. Let h be z(-1). Let w(u) = -u**2 - 14*u + 38. Let s be w(-11). Does s = h?
False
Let l = 108.9 + -108.92. Is 5 greater than l?
True
Let i(z) = -2*z**3 - 41*z**2 - 21*z - 52. Let w be i(-20). Is -46 > w?
False
Let j be (1*-12)/(-4) + (10 - 3). Let d = 14 - 10. Let i = -4 + d. Which is greater: i or j?
j
Let l be 1*(11 - (-16188)/(-1464)). Is 0 >= l?
True
Suppose 0 = -5*b - 24 - 16. Let c be ((-1)/(-6))/(b/36). Let f be (9 + 5)/((-4)/(-2)) - 7. Which is smaller: f or c?
c
Let a(i) = -i**2 - 4*i - 1. Let b be a(-3). Let r be 0/1 + -3 + 6. Do b and r have the same value?
False
Let v = 11 + -9. Suppose -2*h = 2 - 0, -18 = v*z + 2*h. Suppose -3*l + 3*g - 6 = 0, 4*l + 4*g = -6 + 22. Is z equal to l?
False
Let s be (7/(-2) + -1)*(-4)/6. Suppose 5*w - 15 = -3*c, -s*w = -0*w. Is c less than 0?
False
Let v be (-1)/(928/3710) - -4. Let h = v + -9291/5104. Are h and -2 unequal?
True
Suppose 4*p - 2*t + 4 = 0, 5*t - t = 2*p + 14. Let s be 2 + (-2 + 0)/(3 + -1). Let n be (-14)/28 - (p - s). Does -1/4 = n?
False
Let n = 5 - 5. Is n != 2/1297?
True
Let c(b) = 2*b**2 - 17*b - 9. Let y be (-1)/3*-2*54/4. Let z be c(y). Which is greater: 2/109 or z?
2/109
Let s = -3803/100 + 38. Is s < 1?
True
Suppose -62 = 4*u + 94. Let y be -3 - (3 - u/(-24)). Let l = y + 1101/248. Which is smaller: l or -1?
-1
Let q(y) = y**2 - 9*y - 37. Let n be q(12). Suppose 2*o = -o + 3. Let b be (12/(-8))/(o/(-12)). Which is smaller: n or b?
n
Let z be 3/4*((-4)/(-3) + -3). Which is smaller: z or 1?
z
Let v(h) = -h**3 - h**2 + 13*h + 4. Let i be v(-4). Is 1/378 != i?
True
Let j(o) = o**2 - 13*o + 22. Let m be j(10). Suppose -4*k + 3 + 5 = 0. Suppose 4*l + y = -37, -k*l - 25 = 2*y - 5. Is l at most m?
True
Let q(p) = -9*p**2 - 5. Let x be q(-3). Is x >= -84?
False
Let r be (-1494)/90 - 13/1. Is -31 greater than or equal to r?
False
Let x(a) = -3*a**2 - 77*a + 51. Let u be x(-27). Is -66 equal to u?
False
Let t = -2/2159 - -21616/28067. Suppose -13*s - 2 = -15. Which is greater: s or t?
s
Let p = 0.1267 + -0.0267. Which is smaller: p or -5/93?
-5/93
Let y = -1.7 - -1.1. Let a = y + 0.8. Is a not equal to 2/11?
True
Let p = -64534/73 + 884. Let r = -0.204 - -0.004. Are p and r unequal?
True
Let x = -535 - -535. Is 3/65 > x?
True
Suppose 25 = -5*m - p, 0*p + 2*p - 10 = 2*m. Suppose -k - 3*n - 8 = 0, 2*k + 20 = 4*k - 3*n. Let h be ((-3)/k)/((-5)/(-40)). Which is bigger: m or h?
m
Let w = 21 + -15. Let s be (8/w)/((-4)/6). Let u(m) = -m**3 - m**2 + m - 2. Let d be u(s). Is d < 2/37?
True
Let w be 1/((-2)/(-7))*(-43)/(-301). Which is greater: -0.073 or w?
w
Let g = -2.51 + 0.01. Let r = 0.5 + g. Let k be 18/(-7) - 62250/(-17430). Which is bigger: k or r?
k
Let q(z) = -z**2 + 9*z - 12. Let d be q(5). Let v(u) = -u**2 + 9*u - 8. Let h be v(d). Which is smaller: -1/9 or h?
-1/9
Suppose -2 = -3*i + x - 105, -3*i - 109 = 2*x. Which is bigger: -27 or i?
-27
Suppose -4*k + 4*v + 34 + 6 = 0, 0 = -5*v. Let q(c) = c**2 - 8*c - 21. Let s be q(k). Which is greater: s or 2/29?
2/29
Let w = -15 - -15. Suppose -14 = 4*p - w*p - 2*y, -5*p - 5*y = 10. Let s = -141/2 - -69. Which is smaller: p or s?
p
Suppose 22*o - 15 = -5*z + 26*o, -14 = 4*z + 2*o. Let t be (3 - 2)*0 + 1. Is z equal to t?
False
Let z = -41 - -32. Let h = 9 + z. Does h = -2?
False
Let v be 9 + ((-2)/4)/(1/4). Suppose -5*m = v + 3. Is m at least as big as 11?
False
Let y be (5 - 6)*-1 + 645/(-33). Which is smaller: -20 or y?
-20
Suppose z = -4*l + 29, 5*z = -l - 9 + 2. Suppose l = -2*t + t. Which is smaller: 2/7 or t?
t
Let f be (33/(-12)*11)/((-1)/4). Which is smaller: 604/5 or f?
604/5
Let f = 1 + 14. Let a = -14.91 + f. Let h = -2.09 + a. Which is smaller: 0.1 or h?
h
Let r = -806 - -872. Is -0.6 smaller than r?
True
Let r be 2/(-12) + (-4820)/(-120). Suppose -6 + r = -g. Which is smaller: g or -67/2?
g
Suppose -11 = -35*q + 34*q. Let o = -31 + q. Which is greater: -19 or o?
-19
Suppose 0 = s + 2*v - 2, 4*v - 19 = -5*s + 3*v. Suppose s*h = 5*h - 2. Which is smaller: h or 12/5?
h
Let m(p) = 20*p**3 - 2*p**2 - 3*p + 15. Let f be m(-3). Are -533 and f non-equal?
True
Let m be 4/(-6) + (-168)/396. Let u be 0*((-9)/6 + 2). Which is smaller: u or m?
m
Let f(r) = r**3 - 6*r**2 + r - 12. Let y be f(6). Let g be (4/12 - 0)*y. Which is smaller: g or -1?
g
Suppose -414 - 1661 = -25*y. Which is smaller: y or 0.1?
0.1
Suppose 0 = 2*y + 4 - 22. Suppose -37 = -i + 4*k, -3*i - k = -i - 47. Suppose 0 = 2*u - 5*j - i, 2*u + 6 = -3*j - y. Which is smaller: 2 or u?
u
Let n = 39 + -39.084. Let d = -0.184 - n. Which is smaller: 15 or d?
d
Suppose 0 = -7*a - 393 - 76. Let k = 74 + a. Suppose 0 = -6*i + i. Is k less than i?
False
Let z be (-306)/89896*2/(-3). Which is bigger: z or 0?
z
Suppose -v = -6*v. Let y be ((-312)/(-45))/(4/(-6)). Let i = y - -166/15. Which is greater: v or i?
i
Let z = -360970/57 + 6333. Is z at least 0?
True
Let h(t) = -22*t**2. Let s be h(-2). Which is smaller: -90 or s?
-90
Let v be (-3 + (-14)/(-4))*(-1800)/130. Are v and -6 non-equal?
True
Let z = -12.9 + 0.9. Let j = -154 - -152. Is j > z?
True
Let y = -0.227 + 0.162. Is y greater than -1?
True
Let v = 11.7 - 2.7. Which is smaller: v or -14?
-14
Let k be 56/8*2/7. Which is greater: k or 31/28?
k
Let u = -2.931 - -0.031. Let z = 3 + u. Is 7/2 smaller than z?
False
Let g(s) = 3*s - 4*s - 6 - s. Let w be g(-4). Let o be (-1 + 3/w)*16. Which is smaller: o or 5?
5
Let f be (-97)/(-6)*(-6)/28. Let h be (-6)/21*13 - 0. Let l = f - h. Which is bigger: -1 or l?
l
Let o = 661 + -161. Is o at most as big as 500?
True
Let r = -40 - -40. Let y = r - 2. Let j be ((-1)/(-3))/((-2)/(-6)). Is y at most as big as j?
True
Let c = 26 - 22. Suppose 12 = c*d, -47 = -2*h + 6*h - 5*d. Is 0 != h?
True
Let c(l) = -l**3 + 2*l**2 + 9*l - 20. Let h be c(6). Is h less than -112?
False
Let v = -175384262/47 + 3731065. Let z = v + 515. Is 0 at most z?
False
Let g = -9 + 17. Suppose n + 3*n - o = -133, 102 = -3*n + 3*o. Let b be 1*(-2)/11 + (-270)/n. Is g >= b?
True
Suppose -6 = 8*m - 6*m, -5*t + 3*m = -2134. Which is bigger: t or 424?
t
Suppose -6*v + v = 4*b - 56, v = 3*b - 61. Are b and 8 non-equal?
True
Let x = -5.11 + 0.11. Let v = -9 - x. Let u be 6/12*((-4)/(-6))/1. Is u equal to v?
False
Let o be 12/90 - (-89)/(-690). Is 1 at least as big as o?
True
Let y be 3/9*(-4 + -8). Let o be (20/(-4) - y) + 1. Is o greater than or equal to -9/8?
True
Let v = -2.7 + 1.1. Let c = v - -0.6. Which is smaller: 28 or c?
c
Let i = -0.8 + -0.2. Let d(w) = 2*w**2 + 8*w - 1. Let j be d(6). Let s = 835/7 - j. Which is smaller: i or s?
i
Let f(k) = k**3 + 8*k**2 + k + 32. Let i be f(-8). Is 6 greater than i?
False
Let l be 13/(195/(-55))*(-6)/8. Is 2 at most as big as l?
True
Let g(c) = c**2 - 8*c + 27. Let m(q) = -q**2 + 9*q - 26. Let h(v) = 3*g(v) + 4*m(v). Let o be h(13). Is o bigger than -2?
False
Let r be ((-34)/(-57306))/((-1)/3). Let o = 1009941/1384895 - r. Let b = 2/29 + o. Is 0 less than or equal to b?
True
Let y(c) = 2*c - 6. Let g be y(3). Let r = 9 + -12. Is r at least as big as g?
False
Let o(a) be the t
|
{
"pile_set_name": "DM Mathematics"
}
|
e common denominator of -149/148357110 and 71/94409070?
1038499770
Calculate the common denominator of -34/125 and 42/1738105.
43452625
What is the common denominator of 7/18889566 and 73/963?
56668698
Find the common denominator of -43/702800 and -79/6606320.
33031600
What is the least common multiple of 7145880 and 2730?
92896440
What is the common denominator of -94/12105 and 1/1578492?
7892460
Calculate the common denominator of -11/2349972 and -8/87.
68149188
What is the lowest common multiple of 7055392 and 7937316?
63498528
Find the common denominator of 49/730 and 111/1449404.
529032460
Find the common denominator of -7/2050840 and -93/205084.
2050840
Calculate the lowest common multiple of 77600 and 10370.
80471200
Calculate the common denominator of 149/4856142 and -127/9712284.
9712284
Calculate the smallest common multiple of 242272 and 212.
12840416
What is the common denominator of 39/117308800 and -111/46923520?
234617600
Calculate the least common multiple of 22528 and 1024.
22528
Calculate the smallest common multiple of 1671 and 169521.
94423197
What is the lowest common multiple of 23172 and 22268292?
22268292
What is the smallest common multiple of 40 and 60467232?
302336160
Find the common denominator of -41/3040 and 31/18338800.
36677600
What is the common denominator of -21/55435589 and -47/2693801?
1053276191
What is the smallest common multiple of 13786 and 889536?
54261696
Calculate the common denominator of 20/21 and 6/4191263.
88016523
Calculate the least common multiple of 39423240 and 692.
39423240
What is the least common multiple of 378 and 812785?
307232730
What is the common denominator of -107/1628 and -57/14080?
520960
Calculate the smallest common multiple of 258 and 9073.
54438
Calculate the lowest common multiple of 2403123 and 9.
7209369
What is the lowest common multiple of 97410 and 39519237?
395192370
Calculate the common denominator of -73/2545116 and -67/320726.
78898596
Find the common denominator of -9/16 and 23/22196732.
88786928
Calculate the least common multiple of 195 and 23565.
306345
Calculate the smallest common multiple of 336 and 7548548.
90582576
Calculate the lowest common multiple of 434 and 447.
193998
Find the common denominator of -15/1357312 and -101/6454.
4380045824
Calculate the lowest common multiple of 4077 and 204001.
5508027
Find the common denominator of 53/494212 and -56/2889.
1427778468
Calculate the common denominator of -25/35839716 and -131/32581560.
358397160
What is the lowest common multiple of 625759 and 3382267?
267199093
What is the least common multiple of 22080 and 2510?
5542080
Calculate the common denominator of 41/7794952 and -19/24.
23384856
What is the smallest common multiple of 771806 and 1334502?
270903906
Calculate the smallest common multiple of 19464200 and 83418.
58392600
Find the common denominator of -58/33 and -29/659846.
1979538
Find the common denominator of 49/25290 and -47/174168.
244706040
What is the smallest common multiple of 7011342 and 122?
427691862
What is the common denominator of 9/36073820 and -57/110?
396812020
What is the least common multiple of 388 and 975432?
975432
What is the lowest common multiple of 14980 and 30626610?
61253220
Calculate the smallest common multiple of 456260 and 1236.
140984340
Calculate the smallest common multiple of 1186557 and 822.
2373114
Find the common denominator of -83/62330 and 34/208725.
113128950
What is the lowest common multiple of 458937 and 4436391?
13309173
Calculate the common denominator of -91/142812 and -155/53982936.
53982936
Calculate the common denominator of 23/464723 and 21/367.
170553341
What is the common denominator of -107/2023826 and 151/84?
12142956
Calculate the least common multiple of 96 and 354688440.
1418753760
What is the least common multiple of 3700284 and 34104?
7400568
What is the common denominator of -75/189596 and 117/2413040?
26543440
What is the smallest common multiple of 45248 and 17152?
12126464
What is the smallest common multiple of 6570630 and 660?
13141260
What is the common denominator of 209/735540 and -79/1471080?
1471080
Calculate the smallest common multiple of 219072 and 1400.
5476800
Calculate the least common multiple of 512997849 and 7581249.
1538993547
What is the common denominator of 113/3980860 and 55/122?
3980860
What is the smallest common multiple of 250 and 595750?
595750
What is the least common multiple of 5 and 2092670?
2092670
Calculate the common denominator of 151/12349974 and 187/546.
12349974
Calculate the common denominator of 113/9384 and -29/5118.
8004552
What is the lowest common multiple of 221931 and 91928752?
827358768
Calculate the lowest common multiple of 16976500 and 44317600.
4210172000
What is the common denominator of -59/4556 and -125/160242?
21472428
What is the common denominator of -73/64020 and 87/400?
1280400
What is the smallest common multiple of 144793341 and 1386?
289586682
What is the least common multiple of 112736 and 163512?
2304211104
What is the lowest common multiple of 1568925 and 3639906?
90997650
What is the common denominator of -167/2646 and -74/18432225?
258051150
Calculate the lowest common multiple of 655028552 and 10312.
655028552
What is the lowest common multiple of 23061 and 5711441?
17134323
Calculate the common denominator of -97/94440694 and -5/1052264.
377762776
What is the smallest common multiple of 23825925 and 3825?
23825925
What is the least common multiple of 50863 and 119?
6052697
Calculate the lowest common multiple of 1380 and 25641780.
25641780
Find the common denominator of -61/203544 and 131/24672.
814176
What is the lowest common multiple of 47530 and 1020?
4848060
Calculate the smallest common multiple of 199240 and 6475300.
12950600
Find the common denominator of 125/2566928 and 3/164164.
28236208
What is the common denominator of -79/83343 and -113/6167382?
6167382
Calculate the common denominator of 85/7907424 and 185/716352.
205593024
What is the common denominator of 23/90 and -52/114880371?
3446411130
What is the common denominator of 137/13116 and 9/130240?
427056960
Calculate the lowest common multiple of 73395 and 280605.
1373000265
What is the smallest common multiple of 149616 and 1848?
11520432
What is the lowest common multiple of 10572770 and 5845?
74009390
Calculate the common denominator of 85/6432 and 127/142308.
1138464
What is the least common multiple of 61314822 and 22?
674463042
What is the least common multiple of 7148 and 2248?
4017176
Calculate the smallest common multiple of 591 and 55837680.
55837680
What is the least common multiple of 490926 and 969?
9327594
Calculate the common denominator of -95/11938808 and 17/12.
35816424
Calculate the smallest common multiple of 104922 and 867114.
75438918
What is the least common multiple of 441 and 1865871?
1865871
Calculate the common denominator of 52/1634615 and -44/2525.
825480575
What is the lowest common multiple of 5480992 and 8096?
5480992
Find the common denominator of 27/24752 and -89/300716.
143140816
Calculate the common denominator of -37/429300 and -43/321525.
613469700
Calculate the least common multiple of 1398 and 4047909.
8095818
Calculate the smallest common multiple of 6501978 and 15.
32509890
What is the common denominator of 7/36 and -41/2569944?
7709832
What is the common denominator of 25/1906526 and -87/604?
3813052
What is the lowest common multiple of 5649 and 1018926?
1918637658
Calculate the smallest common multiple of 474 and 73734.
5824986
What is the common denominator of -103/9802806 and -53/1410?
2303659410
Calculate the common denominator of -173/172662 and 125/12366.
355856382
Calculate the least common multiple of 5931002 and 34.
100827034
What is the least common multiple of 1751 and 729?
1276479
Calculate the lowest common multiple of 25120 and 17172660.
137381280
Calculate the common denominator of 69/1635676 and -115/10164558.
142303812
Calculate the least common multiple of 96771084 and 42.
677397588
What is the smallest common multiple of 225624 and 872?
24593016
Calculate the common denominator of 37/11884530 and 81/905488.
95076240
Find the common denominator of -19/143 and -25/124189.
1366079
Calculate the least common multiple of 20424088 and 80621
|
{
"pile_set_name": "DM Mathematics"
}
|
or u.
5
Suppose -56 = 30*w - 58*w. Solve 11 = -w*i + 15 for i.
2
Let j = 4247 + -4242. Solve 8*t - 7*t = -j for t.
-5
Suppose -2*a + 4 + 28 = 0. Let d = -16 + a. Suppose 3*y = -d*y - 2*y. Solve -3*x + 4*x + 1 = y for x.
-1
Suppose 3*y = 12*s - 16*s + 362, -s + 83 = -3*y. Solve -91*o = -s*o - 2 for o.
1
Suppose 2*x = 2*f - 10, 5*f - 21*x - 70 = -25*x. Suppose 0 = f*i - 15 + 5. Solve 2 = 3*a - i for a.
1
Let v(a) = -552*a + 2244. Let s be v(4). Solve s*j = -448 + 376 for j.
-2
Suppose 125*w - 540 = -10*w. Solve -126 = 17*o + w*o for o.
-6
Let u be 1252/26 + 11/(-286)*4. Solve -58*d + 64*d = -u for d.
-8
Let m = 396 - 394. Solve -22*i + 24*i = -m for i.
-1
Suppose -33 + 67 = r + 3*w, -3*r + 6*w + 162 = 0. Solve -23*f + 92 = r for f.
2
Let z be (-7 - -46)/(2/4). Let l = 91 - z. Suppose 0 = a - p, -2*p = 3*a + 3 - l. Solve -3 + a = c for c.
-1
Let o(s) = s**3 - 15*s**2 - 2*s + 36. Let d(f) = f**3 + f**2 - 9*f + 6. Let b be d(3). Let g be o(b). Solve y + g*y + 14 = 0 for y.
-2
Let w = 324 - 319. Let u be (w/3)/((-15)/(-72)). Solve -23 = 5*m - u for m.
-3
Suppose 2*t - 5490 = -13*t. Suppose -11*p + t = -5*p. Suppose -p + 56 = -q. Solve -q + 4 = g for g.
-1
Suppose 0 = 7*a + 398 + 372. Let j = a - -155. Suppose -j*r + 6 = -43*r. Solve r = 2*f + 11 for f.
-4
Suppose 0 = -o - 3*o - 2644. Let d = -657 - o. Solve d*n - 12 = -8 for n.
1
Suppose 16*r - 35 = 11*r. Let q(b) = -b**3 + 8*b**2 - 6*b - 10. Let g be q(r). Let z = -3 - g. Solve -4 = -j - z*j for j.
4
Let l(f) = -2*f**3 - 15*f**2 + 10*f + 11. Let m be l(-8). Let o be m/(-3)*(54/3)/3. Let k be 33/6 - o/(-4). Solve 4*u - 12 - k = 0 for u.
5
Let v be -42*(-2 + -1 + 8/3). Suppose 4*n = v*n - 150. Suppose n*z - 18*z = -15. Solve -z*d - 4 = 11 for d.
-3
Let f(g) = -g**3 + 17*g**2 - 62*g + 30. Let p be f(12). Suppose 8*t + p = 22. Solve -t*o = 13*o + 15 for o.
-1
Let b = 24542 - 24487. Solve b*h = 70*h + 75 for h.
-5
Suppose 2*l - 3*n - 14 = 0, n - 2*n = 2*l - 14. Suppose 3*v + s = l, 0 = 3*v - 0*v - 3*s - 15. Solve -v*i = -0*i + 15 for i.
-5
Suppose -988*h + 983*h = -70. Solve 0 = 10*z + 4*z + h for z.
-1
Let j = 153 - 144. Solve j = 126*f - 117*f for f.
1
Suppose -5*o + 21 = d - 7*o, -2*d + 36 = -3*o. Solve -d - 15 = 8*z for z.
-3
Let w = -80 + 98. Suppose -f - 4*j - 3 = -9, -3*f - 2*j = -w. Solve -25 + 7 = f*t for t.
-3
Suppose 36*g = 59927 + 987 + 25630. Solve -2403*t + g*t + 6 = 0 for t.
-6
Let f(y) = 5*y**2 - 9*y - 2. Let t(n) = 16*n**2 - 26*n - 6. Let l(d) = 17*f(d) - 6*t(d). Let v be l(-1). Let m be 12/(-9)*v + -3*1. Solve -5*c - 38 = -m for c.
-5
Suppose -2*w + 5*r = 8 - 4, 0 = 4*w + 2*r - 16. Suppose -5*y + w = 3*t, y = -5*t - 30 + 13. Solve y*n + 11 = -1 for n.
-4
Let x = -40404 - -40645. Solve 0 = x*g - 253*g for g.
0
Let d(m) = m**3 + 13*m**2 + 23*m + 14. Let i be d(-11). Suppose -5*c = -5*w + 20, -i*w + 5*c + 12 = 3*c. Solve 27 = w*v + 11 for v.
4
Let z = 4 + -4. Suppose 2*m - 5*d = -20, 7 = d + 3. Suppose z*t + t - 8 = m. Solve -b - b - t = 0 for b.
-4
Let q be (-4)/(-3)*(-23 + 2330/40). Solve 0 = -21*t - 16 - q for t.
-3
Suppose -35 = -5*u + 3*x - 0*x, 18 = 2*u - 2*x. Suppose 6 = -n - 3*i, n + 2*n - 4*i = 21. Suppose 55*w - 3 = 8*w + 185. Solve w*s = n*s - u for s.
-4
Let i(r) = 53 - 5*r**2 + 7*r**2 - 68. Let x be i(4). Suppose 3*f = -0*f. Solve 4*v + 3 + x = f for v.
-5
Let i(h) = -316*h - 272. Let z be i(-1). Solve -z = -457*p + 446*p for p.
4
Let y = 0 - 31. Let b = y + 36. Suppose -5*s = -a - 21, 2*a - b + 2 = s. Solve -x = a*x for x.
0
Let x be (242 + -245)*(-11)/3. Solve x*n + 41 - 8 = 0 for n.
-3
Suppose 0 = -3*u - 5*r + 99, 5*u - 220 + 65 = -5*r. Solve 58*h = 51*h + u for h.
4
Let s = -10943 + 11184. Solve 185 = -8*y + s for y.
7
Let a = -182 + 183. Let t be 187/85 + 8/10*a. Solve -t*f + 0 = 6 for f.
-2
Suppose 2*k = -4*f + 6, 5*f + 4*k + 8 = 11. Suppose z = -j - 3*z + 22, -4*j + z + 71 = 0. Suppose 9*x - j = f*x. Solve x = -2*n + n for n.
-3
Let w(s) = s**2 - 3*s + 2. Suppose -3*k = 5*i - 0*i - 22, 0 = -2*k + 3*i + 2. Let z = k + -3. Let q be w(z). Solve q = -4*h + 16 for h.
4
Suppose 5*b = -3*p - 2, 0*b + 2*b + 2*p = 0. Let m be (-4 + 4 + -1)/b - -3. Suppose -20 = -q - j, m*q - 7*q + 4*j = -60. Solve 3*y + y - q = 0 for y.
5
Let s = 7 - 2. Let b be 54/36 + 3/2. Suppose -b*f = -9*f + 24. Solve 0 = -3*v + s + f for v.
3
Let r = -15928 + 15960. Solve -r*v = 25*v for v.
0
Let l(n) = -8*n**2 - 166*n - 106. Let x be l(-20). Solve 65*m - 58*m = -x for m.
-2
Let j(w) = -w**3 + 10*w**2 + 71*w - 546. Let b be j(7). Solve 0 = -21*m + b - 245 for m.
-7
Let n = -575 - -724. Suppose -n*b + 160*b = 0. Solve -5*i - 23 + 23 = b for i.
0
Suppose -2*v = y - 16, 4*y + 163 = -2*v + 191. Let p(g) = -2*g + 3. Suppose -q - 1 = m, q - 15 = 4*q - 3*m. Let u be p(q). Solve 3*j + u = v*j for j.
3
Let j = -7 - -20. Let n(w) = -7*w + 89. Let q be n(7). Suppose 0 = 44*l - q*l - 16. Solve -j + 1 = -l*c for c.
3
Suppose 0*h + 4*h - s - 61 = 0, -h + 2*s + 10 = 0. Let m(n) = n**2 - 4 + 2 - h + 4*n. Let p be m(-7). Solve -p*g = g - 8 for g.
2
Let p(i) = 6*i + 75. Suppose 167 = -6*l + 95. Let b be p(l). Let k be ((-1)/1)/(3/(-6)). Solve k = a + b for a.
-1
Let n = -68 - -72. Suppose i - 4*z + 5*z + n = 0, z = 3. Let o be 6/(-4)*(i - -5). Solve -20 = o*h + h for h.
-5
Let i = 16634 + -16209. Solve -26 = 57*u - i for u.
7
Let n(x) = -2*x**2 - x + 3. Let s be n(1). Suppose -22*u + 112 + 42 = s. Solve 4*f - 22 = -u*f for f.
2
Let h = -11 - 13. Let u = h + 24. Suppose u = -0*f - 5*f. Solve f = -3*w + 7*w + 12 for w.
-3
Suppose 4*q = 2*j + 62, 5*q + 36*j - 34*j - 55 = 0. Suppose q*i - 42 = 6*i. Solve -1 = -i*s + 17 for s.
3
Suppose -98*q - 49068 = -75*q - 305*q. Solve 30*f - f = -q for f.
-6
Let v(d) = -d**2 - 6*d + 31. Let j be v(-13). Let x = j - -75. Let i be (3 - 7) + (x/3 - 1). Solve i = p - 5 - 0 for p.
5
Let w(n) = 5*n - 15. Suppose 5*j - 5 = 3*t + 4, -t = -2*j + 4. Let a be w(j). Suppose -5*p + 9 = r, a*r = -r + 3*p + 1. Solve -r*g + 5 = 21 for g.
-4
Suppose -7*n + 1511 = -2927. Let s = n - 589. Solve 0 = -j - s + 46 for j.
1
Let k be -10 + 9 + (3 - -3 - 0). Solve 0 = -l - k + 8 for l.
3
Suppose -p + 5*p = 0. Let c(x) = -9*x. Let g be c(p). Suppose y - 8*y + 98 = g. Solve -y = -3*i - 2 for i.
4
Let u(c) = -3*c + 44. Let a be u(14). Suppose -x - a + 69 = 0. Suppose x*n = 68*n - 4. Solve 2*j - n*j = 8 for j.
-4
Let j(p) = -131*p + 8526. Let q be j(65). Solve 0 = q*z + 673 - 706 for z.
3
Suppose 3*t - 20 = -3*n + 7*t, 0 = -3*n - 4*t - 20. Let j = 11 + -2. Let o = -7 + j. Solve n = o*x + x + 15 for x.
-5
Let k be (-15*323/(-285))/(2 + (-55)/28). Solve 502*v - k*v + 104 = 0 for v.
-4
Suppose -7*y + 4*y = -3*i + 126, -2*y = 6. Suppose -9*t = -i*t + 150. Solve -t*v - 12 = v for v.
-2
Let i be 14 + -20 - 4*-19. Let p = i + -66. Solve -19 + p = 5*n for n.
-3
Suppose -4*w + 34*d + 181 = 37*d, 90 = 2*w + 2*d. Solve -3*j - 46 = -w for j.
0
Let n = -8027 + 8029. Solve -165 = -n*a - 155 for a.
5
Let q(b) = -17*b**2 - 299*b + 193. Let a be q(-18). Solve -86*f = -a*f + 133 for f.
-7
Suppose 3593 = 9*m + 19*m - 10967. Solve -11*s + m = 54*s for s.
8
Let k = -3 + 5. Suppose 0 = -4*z + z + 12. Suppose q + k = z. Solve m = q*m + 3 for m.
-3
Let m(u) = 129*u - 5481. Let j be m(43). Solve 242*q - j = 253*q for q.
-6
Let o = -240 - -114. Let d = -115 - o. Solve 2*s + 13 - d = 0 for s.
-1
Let k(m) be the third derivative of -m**4/24 + 5*m**3/2 - 16*m**2. Let l be k(4). Suppose 17*d = l*d + 12. Solve -8 = -5*z + d for z.
2
Let o(m) = m**3 - 9*m**2 + m - 3. Let v(f) = -38*f**3 + 4 - f**2 + 48*f**3 - 4. Let u be v(1). Let r be o(u). Solve r*c - 12 = 3*c for c.
4
Let k be (-90)/315 + 4/14. Solve -243*w + 237*w - 18 = k for w.
-3
Suppose 201*c = 160*c + 738. Solve -8 = -c*d + 10 for d.
1
Let h(n) be the third derivative of n**6/120 + n**5/20 - n**4/6 + n**3/2 + 19*n**2. Let f be h(-4). Let k be (-7)/f*(-10 + 7). Solve k + 8 = 5*q for q.
3
Let g be 21/49 - (-134)/14. Let q be 208/12 + 8/(-6). Suppose g*r = 8*r + q. Solve -j - r = 3*j for j.
-2
Let t(l) = -3*l**3 + 38*l**2 + 20*l + 57. Let d be t(13). Solve -d*k = -157*k + 27 for k.
3
Let z be (2 + 0)/(26/24 - 1). Suppose -70 = z*m - 29*m. Suppose -2*x = 3*l - 2*l - m, -22 = -4*x + l. Solve -x*r + 2*r = 0 for r.
0
Suppose 0 = j + 4*j - 40. Let f(x) = -8*x**2 - 4*x + 9. Let y(d) = 11*d**2 +
|
{
"pile_set_name": "DM Mathematics"
}
|
ue of ((-25)/(-10))/(295/118)?
1
What is the value of ((-9)/(-36) - 9/(-2)) + -51 + 45?
-5/4
Calculate (-5115)/(-3906) + 2/24 + (-1)/4.
8/7
Evaluate (-420196)/(-166152) - 5/2.
2/69
What is the value of (-560)/840 + (-10)/(-105)?
-4/7
Evaluate -1*(7 + ((-7)/(-11))/(30/330)).
-14
Evaluate (-429)/4026*116/377.
-2/61
126/486*3/(-21)
-1/27
Evaluate (-3240)/(-270) + 0/(-2).
12
What is the value of (-24)/(20/((-400)/30))?
16
What is (8 - 175/14)/(-6*(-22)/(-32))?
12/11
Calculate ((-247)/39 - 1) + (-2)/3.
-8
What is the value of ((-1830)/19825)/(2/5)?
-3/13
What is -12*(((-12)/(-8))/(-1))/(27/6)?
4
(31 - (35 - 19)) + 16*-2
-17
What is (-4 - -10)*((-244)/(-1708))/((-2)/14)?
-6
Evaluate ((-120)/(-150))/(3/(-60)).
-16
What is 232/522*18/16 + (-18)/(-4)?
5
Calculate (((-893)/(-38))/47)/(2/20).
5
What is the value of (-640)/352*(-759)/92?
15
(-110 - -107)*4/(-3)
4
Calculate -2*(1/(-1) + 22/(-66)) - 2.
2/3
Evaluate ((-92)/276)/(-1 - -2).
-1/3
What is the value of 3*(-12)/(-81) + (-18 - (-48 + 30))?
4/9
Calculate 50/66 - (-38)/(-57).
1/11
What is the value of -119*24/816*(-44)/7?
22
Calculate 2*(1903/286 - 2/13).
13
Evaluate (1190/(-357))/(6/9 - 1).
10
(-13)/(-28) - ((-650)/(-52))/25
-1/28
0 + (35/(-108) - 240/(-3240))
-1/4
Calculate (-824)/608 + 28/(-63) + (-427)/(-252).
-2/19
(4 - 3)*((-60)/5 + 10 + 7)
5
Calculate 53/(7*70/98) + 4/10.
11
Calculate -5 + -13 - (-7191)/(-423).
-35
Calculate (-30)/(-84)*-24 - (13 + -21).
-4/7
Calculate (27/63 - (-3 - 404/(-126)))*1.
2/9
(-49)/(9604/(-924)) + -7
-16/7
What is 750/(-90)*18/(-15)?
10
Calculate 4/((-112)/(-540)) + -19.
2/7
What is 4554/(-220) + (-15)/50?
-21
What is (-69)/(-46)*(-56)/(-126)?
2/3
What is the value of (-3552)/352 - ((-105)/(-55) - 2)?
-10
What is the value of -18*(2/(-24))/((-27)/216)?
-12
What is 2/(-15) - ((-826)/120 - 7/28)?
7
What is the value of (-9 - -8)*9/(-12)*4/(-12)?
-1/4
7*1768/(-546) + (-2)/6
-23
What is (-792)/(-8576) + (-2)/67?
1/16
Calculate (-128)/(-168) - (-12)/(-9).
-4/7
Calculate 40/(-15) - (28 + (-3157)/105).
-3/5
Evaluate -36 + (-28249)/(-795) + (-1)/5.
-2/3
What is the value of ((-396)/70)/(-3) - 146/511?
8/5
What is the value of ((-1)/(-5) - 17/45) + 868/(-3906)?
-2/5
Evaluate ((-468)/(-195))/((-9)/10) - (-2)/(-6).
-3
Evaluate (-4378)/(-275) - (594/75 + -8).
16
What is the value of ((-1)/2*-13 - 12) + 1/(-2)?
-6
Calculate 42/56*1*(-96)/45*-1.
8/5
(-3)/((126/(-8))/(21/(-14)))
-2/7
What is 3/(-9)*-2*294/392?
1/2
What is the value of 5/(-11)*3551/(-335) - 5?
-2/11
Calculate 4 - 0 - ((12 - 25) + 14 + 5).
-2
What is the value of (-30 + 0)*32/(-96)?
10
(4/(-26))/((-100215)/1105 + 91)
-1/2
Evaluate 23/(-345) + (-91)/(-105).
4/5
Evaluate -24*57/(-304)*((-1)/3 + 1).
3
Evaluate 187/136 - (-3)/(-8).
1
What is the value of (-3 + (-68)/(-22))/(132/5940) + -3?
12/11
Evaluate (-13)/((-104)/(-176)) + -111 + 101.
-32
What is the value of ((10/(-50))/(8/(-90)))/((-28)/112)?
-9
What is the value of ((-175)/56)/5 + (-2864)/128?
-23
What is the value of 123/9 + (-102)/(-306)?
14
Evaluate (((-4)/(-35))/1)/(-1 - 54/(-45)).
4/7
What is ((-6)/190)/(20 - 7880/400)?
-2/19
What is 6/14*17*32/(-544)?
-3/7
Evaluate (132/(-4554))/(-6 + 3 + (3 - -1)).
-2/69
What is the value of (-8)/(-10)*((-110)/8 - -20)?
5
Evaluate (-16)/((-4816)/(-387))*4/(-18).
2/7
What is 578/36 + (-13 - -8) + 385/(-35)?
1/18
(-312)/(-273) - 1/7
1
What is the value of (-18)/(-28) + (-32)/448?
4/7
What is the value of -5 - 130/2*1*(-15)/75?
8
Evaluate 1/(-6) - 188/(-396)*(-360)/(-240).
6/11
Calculate ((-13)/(104/(-16)))/((-420)/(-18) - 12).
3/17
(7/(-105))/((-5 - -6)*(-19)/57)
1/5
What is the value of (-3)/((((-840)/(-25))/4)/((-16)/20))?
2/7
What is the value of (108/(-216))/(27/(-12))?
2/9
What is 8/(-40) + 13 + 14424/(-1080)?
-5/9
(-2*(-7)/(-280))/(-3*(-4)/24)
-1/10
Evaluate (-1)/((-9)/7) + (32 - 16)/(-144).
2/3
Evaluate (700/(-16) - 40/32) + 17.
-28
What is -7 - ((-2590)/14)/37?
-2
What is (-11 + 200/16)*10?
15
What is the value of ((-1748)/851 - -2) + 690/(-925)?
-4/5
What is the value of 5 - 99/(-12 - -23)?
-4
What is (17 - (-23 + 32)) + -3?
5
What is 14*5/(-10) - 740/(-140)?
-12/7
190/10 + (-325)/25
6
4*-2 - (-15 + (-108)/(-9))
-5
Calculate -3*(31/(-9) - -4)*(32 + -44).
20
Evaluate (-1)/15 + -4*28/(-560).
2/15
What is the value of (342/7182)/(1/9)?
3/7
Evaluate -12 + (-114)/38 + 1.
-14
What is the value of (-2)/(-6)*46/(2622/171)?
1
What is 4/(-32)*-104 - (0 - 3) - 7?
9
What is the value of (-40)/24*(-78)/(-130)?
-1
What is the value of (-46)/437 - (-1386)/(-399)*3/(-42)?
1/7
What is (216/30 - 7) + (-308)/(-385)?
1
Calculate (-28)/3 - (10/42 + (-80)/140).
-9
What is ((-58)/3480)/(4/10*-1)?
1/24
Calculate ((-143)/165)/((-69)/(-1035)).
-13
Evaluate -46*(-3 - (-175)/70).
23
What is the value of (-21 + 429/26)*2?
-9
What is -1 + 1918/(-174) - (543 - 555)?
-2/87
(-57)/4 + -10*8/(-320)
-14
What is the value of ((180/54)/((-4)/(-6)))/5*-2?
-2
What is (22/10)/((-6)/(-5))?
11/6
What is the value of 56/(-30) + 12*20/(-1800)?
-2
Calculate 5700/(-2470) + (-8)/(-26).
-2
((-2)/(-5) - 42/(-20))*(-30)/(-50)
3/2
Calculate 54 + -48 - 5*4.
-14
Calculate -6*(164/(-10) - -16)*(4 + 6).
24
What is (405/35 + -9)/(6 - 215/35)?
-18
Evaluate 37 + -19 + -33 - -6.
-9
(1226/142216)/((-1)/8)
-2/29
What is (-1 + 3)*((4 - 1) + (-39)/(-13))?
12
((-2)/77)/(400/560)
-2/55
23 - (33/(-154) - (-1840)/224)
15
What is the value of 2/(1080/63) + (-4 - (-46)/12)?
-1/20
Calculate (-2 - -1 - -7)*-18*27/8019.
-4/11
1280/(-240)*(18/8)/(-1) + -1
11
Evaluate (-735)/33 - (1725/(-275) - -6).
-22
Evaluate (40/(-90))/(70/135).
-6/7
Evaluate 6 + (336/32 - 18).
-3/2
What is the value of 13 + -2 + (2 - (-104)/(-8))?
0
37/222 - (-4 + (-29)/6 + 2)
7
Evaluate (-64)/(-1920) + 1316/120.
11
What is the value of 12/124 - (-282)/(-1953)?
-1/21
What is the value of 8/(-5)*(-8720)/62784?
2/9
(8687/(-420) - -20) + 2/(-24)*-1
-3/5
Calculate (1/(-7))/(7/(-35)).
5/7
(8/(-224))/((-18)/(234/(-13)))
-1/28
Evaluate (506/(-1771))/(2/(-63)).
9
Evaluate (-3)/((-315)/(-40)) + 0 + (-24)/(-252).
-2/7
What is the value of (-6)/(-4)*(-4)/(-5)*1470/(-84)?
-21
What is ((-4)/(-3))/((-712)/16554)?
-31
Evaluate (-10)/((-1050)/(-405)) - -5.
8/7
(-3)/(-22)*(-3 + (-44)/36*-3)
1/11
(1190/(-30))/17*-3
7
(23/(-69))/((80/12)/4)
-1/5
(3060/17)/15*((-39)/9 + 3)
-16
Calculate 2/((-4)/(-2))*(0/(-19))/(-10).
0
(800/30 - (-16)/12)*(-2)/(-4)
14
What is (-2)/(-3)*6 + 9/(-5) + -1?
6/5
Calculate (25*(-30)/450)/((-10)/168).
28
What is the value of (-738)/(-120) + -8 + 12/20?
-5/4
What is 9/(((-90)/75)/(12/15))?
-6
9/(-12)*640/12720
-2/53
((-3)/196)/((-799)/(-5593))
-3/28
Evaluate (-14)/(-42)*21*(-4)/154*-1.
2/11
What is the value of -10 - (108/(-15) - 21/(-105))?
-3
What is the value of (((-16)/12)/(26/39))/(395/(-5))?
2/79
33 + 21/(-15) + (-4 - (-22)/5)
32
Evaluate (-386)/(-11) + 16860/(-15455).
34
Evaluate 6 - 12*(266/(-56) - -4).
15
What is (1661/906*(-8)/66)/(-2)?
1/9
(6/(-5))/((-23)/(230/4))
3
What is (2236/(-387))/(3 + (-29)/(-18)*-2)?
26
What is the value of 1*-4 + (20/(-45) - (-16)/4)?
-4/9
Evaluate 442/442*(-2 - -11).
9
What is 10 - ((-37)/(-2) + (-7)/14)?
-8
What is the value of (-9 - 0)*(2/(-45) - 18/45)?
4
What is 1*14 + -112 + 100?
2
Evaluate 378/27 + (-3612)/259.
2/37
What is the value of ((-27)/(-60) + 2/(-10))/((-2155)/(-2155))?
1/4
What is the value of -15*48/(-880) + -1?
-2/11
What is (-6 + -6 - -7) + (-133)/(-19)?
2
Evaluate (15/(-4))/((10/(-15))/(288/(-81))).
-20
What is 22512/2268 + 4/54?
10
Calculate 10/7 + (-15660)/(-945).
18
Evaluate (11 + -30)*40/(-76).
10
-4*20*(-2)/16
10
485/(-105) + (38/152)/(14/16)
-13/3
Evaluate (31/620)/((-2)/10)*(-12)/2.
3/2
Calculate ((-36)/(-405))/((165/(-75))/(-11)).
4/9
-1 - (0 - 65)/(-7 + 2)
-14
(70/(-20) - (-49)/35)/(18/(-15))
7/4
What is ((-48)/10)/(4/(-14)*(-1666)/1190)?
-12
What is the value of (909/(-1818))/(2 - 2*38/40)?
-5
What is the value of (-1 - -3)*(7 - 4)*7/(-98)?
-3/7
(-279)/(-135)*(-1 + 0) - (-16)/40
-5/3
What is (-234)/33 + (-7)/(-77) - (-326)/46?
2/23
What is the value of (1736/651*9/(-12))/(-12 + 0)?
1/6
(-27 + 25)/(1 + (0 - 3/5))
-5
Calculate ((-4)/16*-4)/(1 - 434/28).
-2/29
What is the value of (5/(-10))/((-39)/(-182))?
-7/3
(-9 - (-115)/15) + -3*(-6)/18
-1/3
-20 - -3*171/27
-1
(-72)/(-38) + (-2 - -5)*(-20)/30
-2/19
What is the value of 31185/2025 + ((-2)/
|
{
"pile_set_name": "DM Mathematics"
}
|
pose 0 = 2*l - 5*m - s - 11, 6 = l - 3*m. What is the units digit of l?
6
Suppose 0*q - 4*q = 5*s - 665, 5*q - 847 = -s. What is the tens digit of q?
7
Suppose 22 = 5*w - 3*d, 3*d + 8 = d. Let l = w - 0. Suppose -h - 17 = -l*h. What is the units digit of h?
7
Let w(h) = h**3 + 6*h**2 - 4. Let u be w(-6). Let v(j) = 0*j + j**3 - 5 + 4 + 5*j**2 + 2*j. What is the units digit of v(u)?
7
Let x(n) = n + 4. Suppose -21 = 5*b + 24. Let m be 1/(-2 - 15/b). What is the units digit of x(m)?
1
Suppose -10 - 10 = 4*n, 27 = 3*v - 3*n. What is the tens digit of -2 + (108/v - 2)?
2
Let d(c) = c**2 + 2*c + 3. Let b be d(-3). Suppose 4*z + 0*f = 2*f + b, 0 = 3*z + f - 12. What is the units digit of (0 + z/(-3))*-1?
1
What is the hundreds digit of ((-1095)/(-30))/((-9)/(-4) - 2)?
1
Let f(l) = -3 - 1 - 2 - 3*l. What is the units digit of f(-6)?
2
Let i(r) = -r**2 + 7*r - 4. Let p(n) = 4*n - 2. Let f be p(-3). Let m = -9 - f. What is the units digit of i(m)?
6
Let k(i) = i - 2. Let q be k(6). Suppose 0 = -q*t - 11 + 139. What is the tens digit of t?
3
Let v be (-10)/45 + (-76)/(-18). Suppose 0*p + 4 = v*p. What is the units digit of p?
1
Let d(m) = -m**3 - m**2 + m + 26. What is the units digit of d(0)?
6
Let p be 10/(-2)*1 + 0. Let v = 23 + p. What is the tens digit of v?
1
Suppose 0 = 3*b - 0*i - i - 182, 5*b - 3*i = 306. What is the tens digit of b?
6
What is the units digit of ((-12)/7)/(6/(-168))?
8
Suppose 0 = 2*v + 2*v. Suppose v = -2*x - 4*k + 8, x - 5*k = 4*x - 9. What is the units digit of x/12 - (-7)/6?
1
Let z(b) = b**3 + 6*b**2 + 3*b - 2. Let l be ((-5)/2)/((-1)/(-2)). Let p be z(l). Suppose -4*y = 4*c - 8, -c - 4*y = -y + p. What is the units digit of c?
7
Suppose 3*l - 114 = -0*l. What is the units digit of l?
8
Let c(i) = -2*i**3 - 3*i - 3. Let t be 11/(-7) + 30/(-70). What is the tens digit of c(t)?
1
Let m be -1 + -2*(-2 - 0). Suppose m*o + 42 = -5*y + 120, -y = -3*o - 30. Suppose g + 3*q = y, -q = -g + q + 3. What is the units digit of g?
9
Suppose 216 = 8*z - 328. What is the tens digit of z?
6
Let i(x) = 9*x**2 + x - 2. Let z be i(2). Let w be (-2 + 1)/(3/(-12)). Suppose z = w*u + n - 5*n, -u = n - 17. What is the units digit of u?
3
Let n = -170 - -304. What is the hundreds digit of n?
1
Suppose 0 = -4*l + 27 + 1. Let j = 7 - -9. Suppose r + 5*o = j, l*r = 3*r + 2*o - 2. What is the units digit of r?
1
Let v(o) = o**3 + 11*o**2 + 11*o + 10. Let r be v(-10). What is the units digit of 1 - r/(0 - 1)?
1
Let l = 10 - 6. Suppose 34 = n + l*g, g + 18 = 2*n - g. What is the units digit of n?
4
Let f = 21 - -5. Suppose 2*z - 4*y - 18 = f, z - y = 17. What is the units digit of z?
2
Suppose 113 = 2*i + i + 4*t, 4*i - 5*t - 161 = 0. What is the tens digit of i?
3
Suppose 0 = 3*i + i - 3*b - 879, 0 = -2*b - 2. What is the tens digit of i?
1
Let i be (-6)/(-8) + (-1)/(-4). Let j(w) = w. Let k(c) = 8*c + 1. Let p(n) = 5*j(n) + k(n). What is the tens digit of p(i)?
1
Suppose 14 = -5*p + 204. What is the tens digit of p?
3
Let b = -15 + 15. Let t = 7 + -4. Suppose -u = 4*q - 5*q - 5, b = t*u + 4*q - 1. What is the units digit of u?
3
Let z be 30/4 - 3/(-6). Let g(h) = -1 + h**2 + 8*h + z - 2*h. What is the units digit of g(-5)?
2
Suppose n + 4 = -5*g + 4*g, -2*n - 8 = -4*g. Let j(b) = -b - 2. Let h(x) = 2*x + 4. Let q(z) = 4*h(z) + 9*j(z). What is the units digit of q(n)?
2
Let g = -5 - -7. Suppose -3*n - g*q = -110, -4*q + 5 = q. Suppose -2*o = 2*o - n. What is the units digit of o?
9
Suppose -5*l = -4*a + 74, 2*l - 3*l + 78 = 5*a. What is the tens digit of a?
1
Let m(k) = k**2 + k + 2. What is the units digit of m(-2)?
4
What is the tens digit of (-1)/(554/(-2412) - (-16)/72)?
3
Suppose 4*j - 47 = j + d, 3*j - 3*d - 57 = 0. Suppose 2*x - j - 14 = 0. Suppose 3*s = -3*o + 24, 0*s + s = o - x. What is the tens digit of o?
1
Let w = 2 - 0. Suppose -w*b = 11 - 39. What is the tens digit of b?
1
Suppose 0 = -2*u + 12. Let q(k) = -k + 8. Let x be q(u). Suppose -x*o - 50 = -3*w, 66 = -0*w + 4*w - 2*o. What is the units digit of w?
6
Let h(f) be the third derivative of f**5/60 + 3*f**4/8 + 11*f**3/6 + f**2. What is the units digit of h(-9)?
1
Let c = -6 - -11. Suppose -c*j - 4*o = -1, -j + 2*j - 5 = 4*o. Suppose -y + j = -0*y. What is the units digit of y?
1
Let k = 4 - 1. Let f = -1 - k. What is the units digit of (-2)/(-4) - 2/f?
1
Let y(a) = -a + 6. What is the units digit of y(5)?
1
Suppose -9 = 5*k - 3*a, 3*a - 9 = 3*k - 0*k. Let y = k - -4. What is the units digit of y?
4
Let g = 25 + 30. What is the tens digit of g?
5
Suppose -3*h = -0*h. Suppose h = -r + 18 + 1. Let s = r + -12. What is the units digit of s?
7
Suppose 10*t + 80 = 14*t. What is the units digit of t?
0
Suppose -287 - 43 = -5*w. What is the tens digit of w?
6
Suppose -4*b + 12 - 4 = 0. What is the units digit of b?
2
Let m be -1*(-1 + 1 + 0). Let p = 0 - m. Suppose p = y + 4*q + 10, -5*y = -3*q - 8 - 11. What is the units digit of y?
2
Suppose -h = -2*h + 13. What is the units digit of h?
3
Let q(g) = 2*g**2 - 2*g - 6. What is the tens digit of q(5)?
3
Let z(k) = -2*k + 9. Let n be z(-9). What is the units digit of (4 - n)/(2/(-4))?
6
Let c = 135 + -80. What is the tens digit of c?
5
Let r(w) = 2*w - 6. Let y = 5 + -4. Let d(u) = 7*u. Let c be d(y). What is the units digit of r(c)?
8
Let q be (2 + -9)*20/(-14). What is the units digit of q + 1 + 3/3?
2
Suppose 0 = -2*g + 21 + 47. Suppose x - 2*x + g = 0. What is the units digit of x?
4
Let l = -3 + 2. Let g = -15 + 28. Let u = l + g. What is the units digit of u?
2
Suppose -2*y - 34 = -5*x, 3*x + y = 3*y + 18. Let v = -16 + x. Let a = v + 9. What is the units digit of a?
1
Let c = -147 + 300. What is the tens digit of c?
5
Suppose -3 = -2*n + 3*k - 4, -1 = -n + k. Let h = n + -3. What is the units digit of h?
1
Suppose 0*n + 4*n + 16 = 0. What is the units digit of (-10)/(-4) + n/(-8)?
3
Let h(f) = 6*f**2 - f - 1. Suppose 6*y = 3*y + 12. Suppose -s + c = 4, 5*s - 3 - 4 = -y*c. What is the units digit of h(s)?
6
Let k be ((-1)/(-3))/(4/24). What is the tens digit of 1*(-1)/(k/(-34))?
1
Let v be 0 + (-1 - -1 - -1). Let m be v/(3 + (-2 - 0)). Let q = 1 + m. What is the units digit of q?
2
Let f(t) be the third derivative of t**6/120 - t**5/12 + t**4/24 - t**2. Let v be f(4). Let c = v + 18. What is the units digit of c?
6
Let m be ((-3)/6)/((-2)/8). Let b = m + -6. Let d = 5 - b. What is the units digit of d?
9
Let f be (-3 + (-178)/(-10))*5. Suppose f = 3*q - 3*z - 2*z, -2*q + z = -40. What is the tens digit of q?
1
Suppose 20 = -4*u - 2*v - 3*v, 20 = -3*u - 5*v. What is the units digit of 5 + u + 1 + 1?
7
Let a be 18/12*(-34 + -2). Suppose 2*t - 3*o + 37 = 2*o, 0 = -3*t - 5*o - 118. Let j = t - a. What is the units digit of j?
3
Let c = 4 + 0. Suppose 0 = a - 2*w - c, 7*a - 2*a - 11 = w. Suppose 2*p - p - a = 0. What is the units digit of p?
2
Suppose -4*g + 70 = g. Let h = 27 - g. Let z = 18 - h. What is the units digit of z?
5
Let z be 1/5 + 81/45. Suppose 4*n - 195 = -3*c - z*c, 0 = n - 4*c - 54. What is the units digit of n?
0
What is the tens digit of (-2 - (-1 - 0)) + (-11 - -25)?
1
Let o(i) = i**2 + 5*i + 6. Let g be o(-6). Suppose g - 28 = -2*s. What is the units digit of s?
8
Suppose 4*i - 7 = 165. What is the units digit of i?
3
Let r = -5 + 20. What is the units digit of r?
5
Let o = 8 - 4. Suppose -3*a + 2 = -o. What is the units digit of a?
2
Suppose 0 = 25*q - 13*q - 216. What is the units digit of q?
8
Suppose -3*r + 4*q + 477 = 0, -2*r + 318 = 2*q + 3*q. What is the tens digit of r?
5
Let v(k) = 2*k**2 + 7*k - 3. Let x be 15*(0 - (-2)/(-6)). Let w(i) = i**2 + 4*i - 1. Let h(n) = x*w(n) + 3*v(n). What is the units digit of h(4)?
6
Suppose 9 = x + 2*v, 1 = -4*x + 2*v - 3. Let q be (0 - 33/3) + x. Let p = 6 - q. What is the units digit of p?
6
Let m = 171 + -89. What is the units digit of m?
2
Suppose -u + 3 = h, -3*u + 4*h = 3 + 9. Suppose 3*s + s - 84 = u. What is the units digit of s?
1
Let n(g) = -g**2 - 5*g. Let b(z) = -z. Let o(q) = 6*b(q) - n(q). Let d be o(2). Suppose -5*i + 25 = -3*a, 4*a + 18 + d = 4*i. What is the units digit of i?
5
Let i = -13 + 41. Let w = -2 + i. What is the tens digit of w?
2
Suppose -7*x + 9 = -4*x. Suppose -2*q + 48 = x*m, 0 = -3*q + 4*m + m + 34. What is the units digit of q?
8
Let k = -12
|
{
"pile_set_name": "DM Mathematics"
}
|
or p.
-1
Let y be 1/(-6)*(-1 - 1)*15. Let m(k) = -k**3 + 9*k**2. Let s be m(9). Suppose -r - 3*r - 3*v + 40 = s, 0 = -2*r - v + 20. Solve 10*a + r = y*a for a.
-2
Suppose 5*x - 131 = -2*q, -x + 62 = x + 4*q. Solve -30*z = -x*z for z.
0
Suppose -10 = -5*c, 4*k - 116*c - 56 = -118*c. Solve -6*x - 5 = k for x.
-3
Let i be 10/65 - 2/13. Suppose -6*a + a - 40 = i. Let z = 15 + a. Solve 0 = 4*d - z - 5 for d.
3
Suppose 0 = -4*r - 0*r. Let d be (2 - -4 - 2) + 2/(-1). Solve r = -d*z + 6*z + 20 for z.
-5
Let i be (63/35)/((-15)/(-125)). Solve i = -n + 11 for n.
-4
Suppose -3*h + 5*r + 14 = -36, 3*h - 48 = 3*r. Solve -h = -n - 4*n for n.
3
Let t(a) be the third derivative of -a**5/60 - 7*a**4/12 - 11*a**3/6 - 4*a**2. Let l be t(-13). Solve -x - l*x = 0 for x.
0
Let f = 1200 + -1186. Solve -f*n - 13 = 15 for n.
-2
Let s(z) = 5*z + 1 - 6 + 4. Let d be (-1)/(-2) - (-15)/6. Let c be s(d). Solve 6 = 5*p - c for p.
4
Suppose 5*b - 70 = 85. Let w = b + -27. Let l be w*(-3)/(-18)*9. Solve -k = -4*k - l for k.
-2
Suppose 0 = -5*y + 13 + 17. Let d be (-1)/(-2) - (-78)/52. Solve 4*i + y + d = 0 for i.
-2
Let d be 6 - (0/4 - 0). Solve 3*n - 6*n - d = 0 for n.
-2
Let s = -29 + 52. Suppose 6 = s*q - 20*q. Solve -2*v + q = -2 for v.
2
Suppose 3*u + 4 = -8. Let b be 2 + 0/(-9 - u). Solve -3*j - 2 = -b*j for j.
-2
Suppose 4*t + 5 = 1, 4*u - 5*t = 5. Let q = -125 + 221. Let m = q + -91. Solve -m*b + u = 5 for b.
-1
Let n(v) = v + 7. Let d be n(-5). Let q(b) = -1 - 2*b + 13*b**d - 1 - 10*b**2. Let m be q(-1). Solve 3*o = m - 15 for o.
-4
Let q be (-188)/(-10)*10/4. Let j = q + -37. Solve l + l = j for l.
5
Let q = -1360 + 1363. Solve -6*w + 9*w - q = 0 for w.
1
Let r(m) = -3*m + 19. Let f be r(6). Solve -f = -x + 1 for x.
2
Suppose 52*u - 43*u = 630. Solve u - 50 = 4*h for h.
5
Suppose 4*x + x - 35 = 0. Let j(a) = a - 2. Let g be j(5). Let i be -2*(2 + -7)/5. Solve g + x = i*z for z.
5
Let v = 94 - 177. Let r = 85 + v. Solve r*m - 3 = 7 for m.
5
Suppose 1 - 6 = -i. Let n = i + -2. Solve 0 = 5*r + 22 + n for r.
-5
Let q = 175 + -112. Suppose -q = 3*k + v - 0*v, -3 = -v. Let m = k + 24. Solve -m + 7 = 5*g for g.
1
Let k be (-548)/(-20) + 9/15. Let x = k - 18. Suppose -6*l + l = -x. Solve -l = -u + 2 for u.
4
Suppose -295 = 5*i - 2*t, 0*i - i + 2*t = 51. Let m = -56 - i. Solve 0 = -k + m - 9 for k.
-4
Let l(b) = b**3 - 19*b**2 + 19*b + 3. Let c be l(18). Suppose -14 = 20*u - c*u. Solve -2*h + u - 4 = 0 for h.
5
Suppose 0 = -2*n - 10, 7*n - 2*n = 3*x - 229. Let o = x + -63. Solve 2*m + o = 3*m for m.
5
Let w be -4 - -2*(-21)/6. Let v = -10 - w. Solve -v - 11 = 3*x for x.
-4
Suppose 0 = 13*k - 99 - 5. Let i = -6 + -2. Let c = 11 + i. Solve k = -c*a + 5*a for a.
4
Let u = -32 + 86. Let t = 59 - u. Solve t*l - 8 = 12 for l.
4
Let q be (-3)/6*8*-1. Suppose 3*l + 13713 = 13737. Solve q*x - 8 - l = 0 for x.
4
Let i = -45 - -48. Suppose 30 = 8*p - i*p. Solve 5*r = 14 + p for r.
4
Suppose -111*b + 45 = -96*b. Solve -b*d - 36 = -48 for d.
4
Suppose 4*c + 4*v + 44 = 148, -3*c - 4*v = -83. Solve 19 = -2*d + c for d.
1
Let o(u) = -u**3 + 6*u**2 + 32*u - 143. Let k be o(4). Solve 0 = q + k*q + 90 for q.
-5
Suppose g + 5*c = 43, -g + 8*c = 10*c - 34. Suppose 4*j - j = 93. Let w = j - g. Solve 3*f - w = 6 for f.
3
Suppose -5*g + 21 = -4*k, -3*g + 15 - 5 = -5*k. Let i be 1*(0 - -2) - (-2 - k). Solve -i*n - 11 = 9 for n.
-4
Let s = 560 - 529. Solve b = 27 - s for b.
-4
Let q be -16 + (-192)/(-8) + 3/1. Solve -v = -q*v + 50 for v.
5
Let i be (-96)/(-2) + 30/(-6). Solve -20 = -i*v + 48*v for v.
-4
Suppose 4*x = 16, 3*w + 2*w + 5*x - 380 = 0. Solve -37 + w = -7*o for o.
-5
Let o(y) = y. Let i(d) = 5*d - 7. Let w(r) = -r**3 - 9*r**2 + 9*r - 6. Let z be w(-10). Let j(q) = z*o(q) - i(q). Let x be j(6). Solve 21 = -4*u + x for u.
-5
Let j(r) = -2*r**2 - 17*r + 6. Let s be j(-9). Let b be (-6)/(-1)*(-2 - (s - 0)). Solve -4 = 2*d - b*d for d.
1
Let n be 1/((-15)/9*(-5)/25). Solve -n*d + 0*d = 0 for d.
0
Let o = 5 - 2. Suppose -4*d + 0*s + 2*s = -12, -2*d + 5*s + 6 = 0. Suppose -d*g + 15 = 3*k, 4*g = -3*k + 4*k + 5. Solve 0 = -o*z + z - g for z.
-1
Let i(m) = -m**3 + 0 - 9*m - 9 - 9*m**2 + 3. Let f be i(-8). Solve 0 = f*x - 6 + 2 for x.
2
Let n(t) = 16*t**3 + 20*t**3 - 3 + 3 + t**2. Let o be n(1). Suppose 5*u + 3*h = 14 + 11, h + o = 4*u. Solve 0*b - 4*b = u for b.
-2
Let q(l) = 2*l**3 + 25*l**2 + 4*l - 96. Let g be q(-12). Solve g = 8*x - 13*x - 15 for x.
-3
Suppose -f = h - 7, -7 = -3*f - h + 6. Solve 0 = -3*n + 9 + f for n.
4
Suppose 0 = 4*b - w - 47, 2*b - 47*w - 29 = -52*w. Solve -4*p - b = -32 for p.
5
Suppose 110*f - 85*f = 200. Solve -f*d - 60 = -20 for d.
-5
Let o be 6/21 + 536/(-14) - -1. Let c = o - -40. Solve 0*p - c*p - 9 = 0 for p.
-3
Suppose 8*g = 4*g + 44. Let s(l) = l - 11. Let a be s(g). Let j be a/(-8)*(-2)/4. Solve -4*f + f = j for f.
0
Let w = -150 + 156. Solve -7 = w*v + 5 for v.
-2
Let h = 1 - 1. Suppose 5*d - 4*d + 4*m = 52, -5*d + 304 = -2*m. Suppose 4*y = d - h. Solve -2*v - 3*v + y = 0 for v.
3
Suppose -p - 3*p = -20. Suppose 25 = 5*x + 2*i, -p*i = -2*x + 5*x - 34. Solve 3*q + x + 3 = 0 for q.
-2
Suppose 3313*f - 90 = 3307*f. Solve f = 18*i - 23*i for i.
-3
Suppose -2*d - 6 = 2*f - 0, 2*f = 5*d + 29. Solve 5*o = f*o + 3 for o.
1
Let y = -527 + 533. Solve -144*a + 147*a = y for a.
2
Suppose -2*i + 26 - 16 = 0. Suppose -i*n + 10 = 5*y, 0 = n + 2*y + 3*y - 2. Solve 3*v = 17 - n for v.
5
Let g = 828 + -826. Solve -g*b = -12*b - 50 for b.
-5
Let m be 4/10 - (-26)/10. Let n = -14386 - -14390. Solve -n = x + m*x for x.
-1
Suppose 44 = 5*u + t, -2*u - 12*t + 7*t + 36 = 0. Solve 4 = -c + u for c.
4
Let l = -18 + 18. Suppose -2 = -b - l*b. Solve 2*h = -b*h - 4 for h.
-1
Suppose h - 6 - 12 = 0. Let i(o) = -4*o + 18. Let n be i(9). Let a = n + h. Solve -b + 1 = -a for b.
1
Suppose -21*z - 23*z + 132 = 0. Let f(q) = q**2 + 7*q + 8. Let d be f(-6). Solve -z*y - d = -8 for y.
2
Let i = -18 - -64. Suppose -6*z + i = -4*z. Let f = z + -20. Solve -f*y = -6*y - 15 for y.
-5
Let c be 2 - (2 - (-4 - -6)). Let u be (-1 - 4/(-1)) + c. Solve -u*k + 0 = -5 for k.
1
Let j(i) = -3*i**2 + 33*i - 15. Let m be j(5). Solve -71*x + m*x = 0 for x.
0
Let t be -2 + (-24)/(-11) + (-53)/(-11). Let n(q) be the second derivative of q**3/6 + 3*q**2 - q. Let c be n(-5). Solve 0 = -t*o - c + 21 for o.
4
Suppose 0 = -5*u - 2*n + 29, 2*n - 11 = -3*u + 4*n. Let b be (0/3)/(3 - u). Solve -x = -b + 2 for x.
-2
Suppose 5*h - 4*g + 5 = 0, -2*g + 4 = -2*h - 0*g. Solve 6*m + h + 9 = 0 for m.
-2
Suppose 4*j - t = 26, -j - t + 6 = -3. Suppose -4*g = -5 - j. Solve -m - 2 = -g*m for m.
1
Suppose 3*u - 9 = -4*n + 23, -3*n + 24 = 3*u. Solve 2*z = n*z for z.
0
Let u(a) = 11*a - 8. Suppose -5*x + 6*x = -5. Let o be u(x). Let f = -43 - o. Solve 2*r = 6*r + f for r.
-5
Suppose 0 = 24*k + 23 - 71. Let m be (2/(-4)*0)/(-2). Suppose 0 = u - k*d - 17, 2*u + 3*d + 7 - 48 = m. Solve -4 + u = 3*c for c.
5
Suppose 2 = d - 6. Suppose 0 = 2*s - 3*n - 0*n - d, -4*n = s - 15. Suppose s*i = 2*i + 100. Solve -c = -5*c - i for c.
-5
Let y be 1*(25/(-5) + 15). Solve -y*b - 6 = -7*b for b.
-2
Let q be (-135)/(-60)*80/6. Solve 4*d = -2*d + q for d.
5
Let s(i) = 9*i + 2. Let k(l) = 16*l + 3. Let w(y) = 6*k(y) - 10*s(y). Let c be 1 + (-1 - (-1 + 0)). Let b be w(c). Solve -b*z + z = 0 for z.
0
Let g = 25 + -15. Let o be (-20)/8*(-12)/g. Solve -4*j + o = -j for j.
1
Let y be (108 - 111) + 10*2/4. Let d = 12 - 6. Solve -y = 4*s - d for s.
1
Suppose -2*c - 4 = -4*c. Let f(j) = j**2 + 6*j + 8. Suppose 5*l + 2*k = -33, k + 24 = -3*l - l. Let d be f(l). Solve 4*p - d*p - c = 0 for p.
2
Let r = 534 + -517. Solve -14*v = -r*v + 12 for v.
4
Suppose 5*r = 33 - 13, 5*r - 22 = -p. Suppose -3 = 2*q + 3*z, 3*q - p = z - 1. Solve k - 2 + q = 0 for k.
2
Suppose 5*u - 68 = -8. Let r(m) = -m**3 + 11*m**2 + 13*m + 4. Let g be r(u). Suppose -2*v = -6*v + g. Solve -13 - 3 = v*s for s.
-4
Suppose 2*p - 128 + 43 = 5*s, 2*s - 118 = -3*p. Solve f - p = -9*f for f.
4
Let c = 70 + -66. Suppose 0 = 4*l - 13 - 11. Let k(w) = -w**3 - 8*w**2 + 7*w - 10. Let y be k(-9). Solve c*b + y = l*b for b.
4
Suppose 37 - 24 = 3*c + 4*u, -2*c + 8 = 2*u. Solve -3*f + 0*f = -c for f.
1
Let d(y) = y**2 + 3*y - 10. Suppose -4*j - j = -2*q + 65, 124 = 4*q - 4*j. Let o = q + -37. Let v be d(o). Solv
|
{
"pile_set_name": "DM Mathematics"
}
|
-3246. List the prime factors of k.
29, 83
Suppose -3*t = 3*i + 21, -5*t = -3*i - 0*i + 27. Let k(v) = v**3 + 7*v**2 + 5*v - 5. Let b be k(t). Let s(q) = 7*q**2 - 2*q + 2. List the prime factors of s(b).
7
Let f be (-20)/4*(2 - 1). Let n(u) = -2*u**2 - 17*u + 5. Let b(c) = c**2 + 17*c - 5. Let r(o) = -5*b(o) - 6*n(o). List the prime factors of r(f).
5, 17
Suppose -8 + 5 = -2*w - 3*a, 0 = 5*a + 5. Let x be (w*38)/((-18)/12). Let i = x - -164. What are the prime factors of i?
2, 11
Suppose 3*o - 4 = 4*n - 3, -o = 3*n - 9. Suppose 1390 = 5*t - o*s, -5*s = -5*t + 1860 - 480. List the prime factors of t.
281
Let y be -46*(1 - -2)/(-6). Suppose 5*t = -3*g + 4322, -5*t - y*g + 26*g + 4298 = 0. What are the prime factors of t?
2, 431
Let h = -206 - -208. Suppose -h*n + 7*n - 3*y = 4350, 2*y = -3*n + 2629. What are the prime factors of n?
3, 97
List the prime factors of (-35163711)/(-2001) - 8/116.
17573
Let p(n) = -n**3 + 65*n**2 + 15*n - 207. What are the prime factors of p(64)?
13, 373
Suppose -3*w - 3 = -3*z - 4*w, -17 = -4*z + 3*w. Suppose 0 = -0*t + t + z*h - 549, 0 = -2*t + 4*h + 1130. List the prime factors of t.
557
Let r = 10724 - 2420. List the prime factors of r.
2, 3, 173
Let i = 23 + -10. Suppose 2*g = -9*d + i*d + 50, 2*d = -4*g + 150. List the prime factors of g.
5, 7
Let m(r) be the first derivative of -3*r**4/2 + r**3/3 - r**2 - 3*r - 9. Let k be m(-2). Let c = 83 - k. List the prime factors of c.
2, 3, 5
Suppose 5*y + 2*h = 39616, 5*h = 12 + 3. List the prime factors of y.
2, 17, 233
Let j be ((-3)/((-9)/2))/((-12)/(-15894)). Let c = j + -618. Let t = 372 - c. List the prime factors of t.
107
Let j(z) = -4*z**2 - 9*z + 2*z**2 + 7*z**2 - 12 + 11. What are the prime factors of j(12)?
13, 47
Let l(o) be the second derivative of o**5/20 - 2*o**4/3 + 11*o**3/6 - o**2/2 - o. Suppose -24*m + 20 = -172. List the prime factors of l(m).
3, 29
Suppose 0 = -35*g + 222*g - 662354. What are the prime factors of g?
2, 7, 11, 23
Suppose 0 = -22*r + 19*r + 12. Suppose 0*q + 5*h - 1270 = -4*q, r*q - 1278 = -h. What are the prime factors of q?
2, 5
Suppose 26*c - 8204 = 33240. Suppose 0 = 6*a - 4796 - c. What are the prime factors of a?
3, 5, 71
Let c be (-14)/(-21)*(-5 + -1). Let o = -19 - -14. What are the prime factors of 2/o + -1724*c/40?
2, 43
Let m(b) = b**3 - 10*b**2 + 10*b - 4. Let w be m(9). Suppose 0*h - w*h = -l - 81, -3*l - 83 = -5*h. List the prime factors of -15 + h - (-82 + 0).
83
What are the prime factors of -177*556*(-10)/120?
59, 139
Let r = 14565 - 5996. What are the prime factors of r?
11, 19, 41
Suppose -97*d - 30 = -99*d. Let c(s) = 46*s - 92. What are the prime factors of c(d)?
2, 13, 23
Let p(j) = -3*j**2 + 3*j - 5. Let s(c) = 7*c**2 - 6*c + 11. Let u(b) = 9*p(b) + 4*s(b). Let a be u(-17). Suppose -5*v + 213 = -a. List the prime factors of v.
2, 3, 5
Let p = 79 + -77. Suppose -2*c - p*c + 23 = 5*o, 2*o = 6. Suppose -f + 120 = c*h, -2*f - 5*h + 0*h + 240 = 0. What are the prime factors of f?
2, 3, 5
Suppose -3*f = -3*o + 35040, 3*o - 35026 = 74*f - 73*f. What are the prime factors of o?
3, 1297
Suppose 5*n + 3*y = 43005, -y = -5*y + 20. What are the prime factors of n?
2, 3, 1433
Suppose -26*v = -414991 - 78489. List the prime factors of v.
2, 5, 13, 73
Suppose 108*j + 163 = 109*j. Let i = 487 + j. List the prime factors of i.
2, 5, 13
Suppose 2*b = -2*b + 20. Let k = 86 - 39. Suppose -5*x + 1475 = b*a, -4*x - 352 + k = -a. List the prime factors of a.
3, 11
Let m be (-120)/18 - 2/6. Let s = m - -46. What are the prime factors of s?
3, 13
Let z(i) = 3*i**3 + 20*i**2 - 86*i - 54. List the prime factors of z(16).
2, 3, 2663
Let k(j) = 11*j - 44. Let b be k(4). Suppose b = 3*p + 5*g - 473 - 541, 5*p - 1677 = -4*g. List the prime factors of p.
3, 37
Let v(u) = 7*u**2 + 2*u. Let y be v(-1). Suppose 0 = 5*l + z - 1076, -1068 = -y*l - 3*z - 0*z. What are the prime factors of l?
2, 3
Let g(n) be the first derivative of 127*n**3 - 2*n**2 - 2*n - 19. List the prime factors of g(-1).
383
Let c(f) = 25643*f + 60. What are the prime factors of c(1)?
25703
Let u = -2881 - -6021. What are the prime factors of u?
2, 5, 157
Suppose 3976 = -3*o - 1640. Let d = 2731 + o. List the prime factors of d.
859
Suppose h + 7 = -10. Let f(w) = -11*w + 40*w - w**2 + 17 - 30*w - 18*w - w. List the prime factors of f(h).
2, 17
Let z(c) = 24*c**2 + 6*c - 4. Let t = 140 + -138. List the prime factors of z(t).
2, 13
Suppose -39344 + 233934 = 10*w. Suppose -77*g + 66*g = -w. List the prime factors of g.
29, 61
Let u = -580 + 6543. What are the prime factors of u?
67, 89
Let s(j) = 4*j + 8. Let m be s(-2). Suppose 4*b + 2*u + 19 = b, m = -5*b + 4*u + 5. What are the prime factors of (-247)/(-3) - 1*2/b?
83
Suppose -3*t + 11 + 28 = 0. Suppose -8*y + t*y = 245. Suppose -b - 241 = -5*i - 0*i, i - y = b. What are the prime factors of i?
2, 3
Let n be (1/(3 + -2))/((-14)/(-42)). Suppose -3*l + 15 = n*m, -l - 7 = -m + 8. Let h(i) = -i**3 + 13*i**2 - 30*i + 14. List the prime factors of h(m).
2, 7
Suppose -72185 = 75*y - 874685. What are the prime factors of y?
2, 5, 107
List the prime factors of (-3627)/(-279) - (-8741 - 0).
2, 3, 1459
Let j be -3 - ((-6)/(-14) + 3254/(-14)). Suppose 3*x = -4*l + 323 - 54, 3*x - 4*l - j = 0. List the prime factors of x.
83
Suppose 0 = 2*y - 3*f - 17379, 37174 - 2404 = 4*y - 2*f. What are the prime factors of y?
2, 3, 7, 23
Let p = -41 + 57. Suppose 0 = 4*q - p, -11 = 4*d + 5*q + 41. Let z = -5 - d. What are the prime factors of z?
13
Let h(i) = -13*i + 71. Suppose b = 30 - 52. List the prime factors of h(b).
3, 7, 17
Suppose -16*c = -398572 - 93780. List the prime factors of c.
2, 7, 157
Let t be ((6 - 6)/1)/(-1). Suppose -39*a + 35*a + 256 = t. What are the prime factors of a?
2
Let d(g) = 64*g + 10. Suppose 16 = 4*c + 4. Let b be d(c). Suppose -178 = -5*x + b. What are the prime factors of x?
2, 19
Suppose 23 = 6*l + 5. Suppose l*y - u + 654 - 1740 = 0, -y - 3*u + 352 = 0. What are the prime factors of y?
19
Let p(i) = -5*i**2 - 20*i + 58. Let b(l) = -3*l**2 - 20*l + 59. Let q(t) = 4*b(t) - 5*p(t). List the prime factors of q(-8).
2, 3, 103
Let z(c) = -c**2 + 252*c**3 - 256*c**3 - c + 2*c + 1. Let y be z(-1). Let b(h) = 4*h**2 - 6*h + 3. List the prime factors of b(y).
3, 7
Let u(w) = -13*w + 91. Let s be u(6). Suppose 5456 = s*k - 3748. What are the prime factors of k?
2, 3, 59
Suppose -11*n + 9 = -24. What are the prime factors of (2898/(-27))/(-2*n/18)?
2, 7, 23
Suppose -199 = -10*m + 21. Suppose -8*g - 7462 = -m*g. Suppose 4*o + 3*h - 763 = 0, 4*o - g - 220 = -h. What are the prime factors of o?
11, 17
Let c = 4395 + 1743. Suppose 0 = -25*r - 1988 + c. What are the prime factors of r?
2, 83
Suppose 27*d = 31*d + 2*v + 1542, 2*d + 791 = -5*v. Let s = 0 - d. What are the prime factors of s?
383
Let h = 536 + -159. Let w = 769 - h. What are the prime factors of w?
2, 7
Let f be 5 + 0 - ((-50)/(-5) + 2 + -10). Let c be 1/3 + (-4876)/(-6). Suppose c = 3*u - f*d, 2*d = -2*d + 16. What are the prime factors of u?
5, 11
Let d(n) = -5*n - 7 + 8*n + 4*n - n**2. Let q be d(10). Let r = 125 + q. What are the prime factors of r?
2, 11
Let w(x) be the second derivative of 113*x**5/5 - 5*x**3/6 + 5*x**2/2 + 74*x - 2. List the prime factors of w(1).
2, 113
Suppose v + 4*z = 2*z + 41, 0 = 2*z - 4. Let d = -34 + v. Suppose d*u - 138 = -15. List the prime factors of u.
41
Suppose 31*f = -55*f + 602. Let c(d) = d**3 + 4*d + 4. Let z be c(6). Suppose -f*k + 9*k - z = 0. List the prime factors of k.
2, 61
Let k(j) = j**3 - 30*j**2 - 38*j - 68. Let o be k(30). What are the prime factors of (o/5)/(5/(-25))?
2, 151
Let l(s) = -187*s**3 - 4*s**2 - 41*s + 6. What are the prime factors of l(-4)?
2, 6037
Suppose 51*f + 26910 = 55*f + 2*y, -3*y = 4*f - 26915. What are the prime factors of f?
5, 269
Let y(m) = 745*m + 2549. What are the prime factors of y(76)?
3, 11, 163
List the prime factors of 48/20 - 9322984/(-440).
21191
Suppose -5*l - 11*u + 30000 = -6*u, 42055 = 7*l - 4*u. What are the prime factors of l?
5, 1201
Suppose 3*p = 2*l + 3, -3*l + 9*p - 4*p = 5. Suppose 4*k + l*k = -5*a + 13, -2*k - 2*a + 6 = 0. What are the prime factors of ((-3)/k)/(((-55)/(-460))/(-11))?
2, 3, 23
Suppose -99 - 376 = -5*p - 5*c, 5*p + 4*c = 471. What are the prime fac
|
{
"pile_set_name": "DM Mathematics"
}
|
a composite number?
True
Let h(c) = c**2 - c - 4. Suppose -3*b = -6*b + 9. Let m be h(b). Suppose m*l + 2*q = 93 + 9, -4*l - 5*q = -202. Is l a composite number?
False
Let k = -5 + -111. Is (-1)/(-2 + k/(-60)) a composite number?
True
Let l = -7061 + 10360. Is l prime?
True
Suppose -w + 0*t - 17 = -4*t, -5*w + t = -10. Suppose 2*c - 14 = 2*u, -4*c - 2*u + 13 = w. Suppose -c*n + 635 = n. Is n a composite number?
False
Suppose 0 = -j - 0 + 2. Let k(v) = -2*v**3 + 2*v**2 + 2. Let a be k(j). Is -6*(-3)/a*-2 prime?
False
Let c(x) = -88*x**3 + x**2 - 3*x + 4. Let r be c(-5). Suppose -2*w + 5*l + 10277 = 0, 4*w - 5*l - 9515 - r = 0. Is w a prime number?
False
Let v(x) = -2*x**2 + 6*x - 4. Let l be v(2). Suppose -15 = 5*p, l = 3*i + 6*p - p - 252. Is i prime?
True
Let h(w) = 14*w**2 - 14*w - 12. Let c be h(-10). Suppose 4*j + c = 4*t, -4*j + j = 9. Is t a composite number?
False
Suppose -221 = -c + 327. Let p = -367 + c. Is p composite?
False
Suppose 0 = -15*k + 12*k + 60. Is 690/k - (-1)/2 a composite number?
True
Let u(n) = 4*n + 3. Let y(q) = -5*q - 2. Let w(v) = -5*u(v) - 6*y(v). Is w(10) composite?
False
Let l(i) = 3*i + 15. Let p(d) = 5*d + 31. Let b(q) = -7*l(q) + 4*p(q). Let h = 11 + 1. Is b(h) composite?
False
Let s(a) = -a**2 + 11*a + 3. Let t be s(8). Suppose 92 - t = v. Is v composite?
True
Suppose 0 = 4*h - 32 + 4. Suppose -h*b + 5*b = -8. Suppose -5*y + 85 = -b*y. Is y a prime number?
False
Let y(v) = 2*v**3 + 20*v**2 + 10*v - 18. Let k be y(-9). Suppose 3415 = -k*r + 59*r. Is r composite?
False
Let w = 10035 + -6841. Suppose 5*x - 2641 = 5*o + w, -16 = 4*o. Is x composite?
False
Suppose 0*v = -4*b + v + 23, -29 = -2*b - 3*v. Suppose -b*s + 310 = -1083. Is s prime?
True
Suppose 871 = 5*x + 4686. Let c = -344 - x. Is c/(-2)*12/(-6) composite?
False
Suppose -v - 3*h = -1 + 7, 4*v - h = -37. Let c be (10/(-1))/(4/(-22)). Let z = v + c. Is z prime?
False
Let m = -22 - -47. Suppose -m = 2*u + 3*u - h, 4*u - 9 = -5*h. Is (u - 14/(-6))*-39 prime?
False
Suppose -5*t + 2*t = 2295. Let j = -428 - t. Is j composite?
False
Let p be (-16)/24 - (-56)/(-6). Let t = 13 + p. Is 171/t - (1 + -3) a prime number?
True
Suppose -57*g + 640051 + 10376 = 0. Is g a composite number?
False
Let p(z) = -140*z - 13. Let i(u) = -141*u - 12. Let s(y) = 3*i(y) - 2*p(y). Is s(-3) a composite number?
False
Is (-17)/((7 + 0)/(-3899)) prime?
False
Let z = 6028 - 35815. Is z/(-18) - (-3 - 85/(-30)) a composite number?
True
Let k(x) be the second derivative of -x**4/12 - 5*x**3 - 13*x**2/2 - 9*x. Is k(-12) prime?
False
Suppose r + 12 = 5*s, r - 48 = 5*r - 2*s. Let d be r/(-8)*8/2. Is (4/d)/((-2)/(-174)) a prime number?
False
Let h = 23963 - 5256. Is h a composite number?
True
Suppose -8 + 1 = 5*j + 4*k, k = -3. Let h(f) be the first derivative of 200*f**2 + f + 71. Is h(j) a composite number?
False
Let s(u) be the second derivative of u**5/20 + 3*u**4/4 + u**3/3 + 4*u**2 - 2*u. Let v be s(-9). Is 4872/10 + 2/v prime?
True
Let z = 1782 + -1146. Suppose -z = -2*u + 2*l, -4*l + 7 = -5*u + 1598. Is u composite?
True
Suppose 0 = 4*m - 34722 - 34442. Is m composite?
False
Let k(h) = 20*h**2 - 8*h - 11. Let b(d) = -d + 2. Let g be b(-8). Let c be k(g). Suppose -4*v - 653 = -c. Is v prime?
False
Let k = 1 + -7. Is ((-260)/6)/(4/k) prime?
False
Let h(x) = -x**3 + 12*x**2 - 11*x - 2. Let t be h(11). Is 237*t*2/(-12) prime?
True
Let z = -26 + 30. Suppose -b - 497 = -2*i - 0*b, z*b = -3*i + 773. Is i prime?
True
Let r = -27 - -36. Let m = r + -8. Is (57 - m) + -2 + 4 composite?
True
Let z(w) = 2*w**3 - 29*w**2 - 36*w + 19. Let v be z(16). Let r = -144 - -256. Let f = r + v. Is f prime?
False
Suppose 5*n = -m - 47, 0*n - 2*m - 22 = 2*n. Is (47726/21)/((-6)/n) composite?
True
Suppose 4*t = 2 + 18. Suppose d + t = 16. Is d composite?
False
Suppose 2*a = -3*m + 18, -2*a - 2*m = 3*a - 23. Let j = 0 + 2. Suppose -3*z + 264 = f, -z + a*f + 276 = j*z. Is z prime?
True
Let t be (7/(-14))/(2/(-12)). Let c(o) = 2 + 5 - 3*o - 20*o**t + 15*o**2 + 19*o**3. Is c(14) a prime number?
False
Suppose -22 = -4*z - 2. Suppose 5199 = z*l - 2*l. Is l composite?
False
Suppose -g + 20014 = g. Is g a composite number?
False
Is (-4)/(-28) - (92315/(-7) + -3) composite?
True
Let m(g) = 4976*g**2 + 1. Let a be m(-1). Suppose 3*t - a = -0*t. Suppose -4*k = 4*w - 1308, -5*w - 2*k + t = -3*k. Is w prime?
True
Let y = 4 + -1. Let d be -194 - (0 + y - 1). Let r = d + 345. Is r composite?
False
Let g be ((-12654)/(-45))/(((-9)/(-15))/3). Suppose 3*z + 5*x - 2108 = 0, -2*z - 9*x + 5*x = -g. Is z prime?
True
Suppose 8*x = 11*x - 13047. Suppose r = 5*f + 4796, -5204 = -2*r - 3*f + x. Is r prime?
False
Suppose -2*t + 9*v + 1398 = 4*v, v = 4*t - 2760. Let d = t + 98. Is d a prime number?
True
Let p = 2039 - -3006. Suppose -19*x = -20*x + p. Is x a prime number?
False
Is -37 - -35 - (-7408 - -1) a prime number?
False
Suppose 4*p = 11 + 1. Suppose p*t - 410 = -2*t + 5*d, 0 = 2*t - 4*d - 168. Suppose 2*o - t = -4*j + 6*j, -3*j = -4*o + 159. Is o prime?
False
Let s(k) = 5409*k**2 + k + 1. Is s(1) a prime number?
False
Let z = 60259 - 150839. Is (-2)/6 - z/30 composite?
False
Let x be (-2 + (-5 - -5))/(-3 - -1). Is -1*(x - 261 - 3) prime?
True
Let z(u) be the third derivative of u**6/120 - u**5/20 + u**4/8 + u**3/6 - 31*u**2. Is z(6) a composite number?
False
Is 11/((-55)/(-57630)) + 7 + -2 a composite number?
True
Let j = 760 + -542. Let p be 2/4 - (-21)/6. Suppose 0 = l - p*l + 5*g + 640, 3*g - j = -l. Is l a composite number?
True
Let r(a) = 16*a - 19. Let b be ((-7)/2 - 0)*(-12 + 8). Is r(b) a prime number?
False
Let b = 5 + -1. Let n(w) = 74*w + 3. Is n(b) composite?
True
Is (-54058)/((-25)/(100/8)) a prime number?
False
Let q(p) = -21*p**3 + 4*p**2 - 17*p + 1. Is q(-6) prime?
True
Let b = 4693 - 7347. Let x be 3/(b/(-1326) - 2). Let g = -628 + x. Is g a prime number?
True
Suppose 4*y = -2326 + 7346. Is y prime?
False
Let n(i) = -i**3 + 19*i**2 + 6*i + 13. Is n(10) a composite number?
True
Let a(o) = 74*o - 241. Is a(10) prime?
True
Is ((-55776)/(-15) - -3) + 9/15 composite?
True
Suppose -3*s - 55 = 2*s. Let x = s + 15. Suppose -5*j = x*v - 77, 5*v - 54 = -3*j - 0*v. Is j prime?
True
Let l(p) = -p**2 + 8*p - 7. Let w(r) = -r**3 - 6*r**2 - 7*r - 7. Let f be w(-5). Let s be l(f). Suppose 2*j = -s + 36. Is j prime?
False
Let d(f) = -1673*f + 21. Let l be d(-4). Suppose 2*w + 5*w - l = 0. Is w composite?
True
Let t(o) = -3816*o - 659. Is t(-6) a prime number?
False
Let o = 291 + 2755. Is o a prime number?
False
Let p = 17581 - 11600. Is p composite?
False
Let o(s) = 20*s**2 - 7*s**2 - 3*s - 12*s**2 + 2*s + 71. Is o(0) a composite number?
False
Suppose 26314 = 20*t - 48466. Is t a composite number?
False
Suppose 4*v + 2269 = y, 6*v - v - 2305 = -y. Is y prime?
False
Let t = -501 + 818. Is t a prime number?
True
Suppose 0 = 30*o - 36749 - 116641. Is o composite?
False
Let w(a) = 3*a**3 + a**2 - 1. Let c = -21 + 22. Let l be w(c). Let t = 68 - l. Is t prime?
False
Suppose v + 24 = 5*q, 0 = -4*v + 2*q - 11 - 13. Let l(m) = -2*m**2 + 4*m - 3*m + 3 - m**3 + m**2. Is l(v) a prime number?
True
Let n be (103/1)/(7/14). Suppose 2*x = n + 48. Is x a prime number?
True
Suppose n = -2*s - 8, -12 = -0*n - n + 2*s. Let g be (n - 9/6)*962. Suppose -4*c = -5*r + g, 4*r + 0*c + 5*c = 393. Is r a composite number?
False
Let y be 60/9 - (-2)/(-3). Suppose -2*g + 2 = -y. Suppose g*v + 20 = -l + 127, -3*l = -2*v - 391. Is l a composite number?
False
Let u(c) = 79*c**2 - c - 1. Let y be u(-2). Is (-7 + -3)*y/(-2) a prime number?
False
Suppose 6*c - 56386 = 3416. Is c prime?
True
Suppose 3*h + 38 = 4*h. Suppose -2*l + h = w, 3*w - 2*l - 3*l - 125 = 0. Is 16 - 15 - w/(-2) a prime number?
False
Suppose 4*l + 2*n + 1218 = 0, -n = -4*l + 4*n - 1197. Let d = l + 722. Is d a composite number?
False
Is ((-154138)/(-4))/((-55)/(-110)) a composite number?
False
Suppose 2*t + 5 = t. Let w = t - -8. Suppose 323 = 4*h - w*l, l = h + 6*l - 52. Is h composite?
True
Let v be (-2 + 4 - 2)/(4/(-2)). Suppose v = -4*q - 5*m + 199, q - 208 = -3*q + 4*m. Is q a composite number?
True
Suppose 5*v = -x + 53964, x - 59525 = -4*v - 16354. Is v composite?
True
Suppose -4*l = -46 - 102. Let b be (4/5)/((-26)/455). Let x = l + b. Is x composite?
False
Suppose 0 = -v - 0*v + 5,
|
{
"pile_set_name": "DM Mathematics"
}
|
the prime factors of 261?
3, 29
What are the prime factors of 13485?
3, 5, 29, 31
List the prime factors of 27548.
2, 71, 97
What are the prime factors of 1341?
3, 149
What are the prime factors of 34365?
3, 5, 29, 79
List the prime factors of 4315.
5, 863
List the prime factors of 1561.
7, 223
List the prime factors of 1123.
1123
List the prime factors of 4125.
3, 5, 11
What are the prime factors of 944?
2, 59
What are the prime factors of 5639?
5639
What are the prime factors of 604?
2, 151
What are the prime factors of 582?
2, 3, 97
What are the prime factors of 5140?
2, 5, 257
What are the prime factors of 31606?
2, 15803
List the prime factors of 550.
2, 5, 11
What are the prime factors of 16456?
2, 11, 17
List the prime factors of 37.
37
List the prime factors of 1754.
2, 877
List the prime factors of 5274.
2, 3, 293
What are the prime factors of 560?
2, 5, 7
List the prime factors of 10102.
2, 5051
What are the prime factors of 2211?
3, 11, 67
List the prime factors of 1175.
5, 47
List the prime factors of 5353.
53, 101
What are the prime factors of 450?
2, 3, 5
List the prime factors of 2394.
2, 3, 7, 19
List the prime factors of 2954.
2, 7, 211
What are the prime factors of 22830?
2, 3, 5, 761
List the prime factors of 1665.
3, 5, 37
List the prime factors of 4423.
4423
What are the prime factors of 921?
3, 307
List the prime factors of 11461.
73, 157
What are the prime factors of 60867?
3, 6763
List the prime factors of 1311.
3, 19, 23
What are the prime factors of 8178?
2, 3, 29, 47
What are the prime factors of 6864?
2, 3, 11, 13
What are the prime factors of 4328?
2, 541
List the prime factors of 3081.
3, 13, 79
List the prime factors of 177838.
2, 88919
List the prime factors of 14292.
2, 3, 397
What are the prime factors of 10155?
3, 5, 677
List the prime factors of 659.
659
List the prime factors of 52498.
2, 26249
What are the prime factors of 40362?
2, 3, 7, 31
What are the prime factors of 2092?
2, 523
List the prime factors of 17463.
3, 5821
List the prime factors of 2826.
2, 3, 157
What are the prime factors of 27878?
2, 53, 263
List the prime factors of 2342.
2, 1171
List the prime factors of 4823.
7, 13, 53
List the prime factors of 26804.
2, 6701
What are the prime factors of 3414?
2, 3, 569
What are the prime factors of 78547?
7, 229
What are the prime factors of 845?
5, 13
What are the prime factors of 10791?
3, 11, 109
List the prime factors of 6786.
2, 3, 13, 29
What are the prime factors of 2108?
2, 17, 31
What are the prime factors of 5003?
5003
List the prime factors of 77948.
2, 13, 1499
List the prime factors of 862.
2, 431
What are the prime factors of 77635?
5, 15527
What are the prime factors of 901?
17, 53
What are the prime factors of 3126?
2, 3, 521
What are the prime factors of 1549?
1549
List the prime factors of 8399.
37, 227
List the prime factors of 37920.
2, 3, 5, 79
What are the prime factors of 2747?
41, 67
What are the prime factors of 5605?
5, 19, 59
List the prime factors of 14962.
2, 7481
What are the prime factors of 2397?
3, 17, 47
What are the prime factors of 21294?
2, 3, 7, 13
List the prime factors of 33682.
2, 11, 1531
What are the prime factors of 5120?
2, 5
What are the prime factors of 108?
2, 3
List the prime factors of 197925.
3, 5, 7, 13, 29
List the prime factors of 3249.
3, 19
List the prime factors of 2580.
2, 3, 5, 43
List the prime factors of 1112.
2, 139
List the prime factors of 20046.
2, 3, 13, 257
List the prime factors of 1602.
2, 3, 89
List the prime factors of 1992.
2, 3, 83
List the prime factors of 1978.
2, 23, 43
List the prime factors of 821.
821
List the prime factors of 87426.
2, 3, 1619
What are the prime factors of 26033?
7, 3719
What are the prime factors of 3971?
11, 19
List the prime factors of 1534.
2, 13, 59
What are the prime factors of 169?
13
What are the prime factors of 3053?
43, 71
List the prime factors of 3973.
29, 137
What are the prime factors of 107652?
2, 3, 8971
List the prime factors of 99391.
99391
What are the prime factors of 722?
2, 19
List the prime factors of 469.
7, 67
List the prime factors of 28974.
2, 3, 11, 439
List the prime factors of 3505.
5, 701
What are the prime factors of 284?
2, 71
What are the prime factors of 7030?
2, 5, 19, 37
What are the prime factors of 5669?
5669
What are the prime factors of 4881?
3, 1627
What are the prime factors of 57376?
2, 11, 163
List the prime factors of 7763.
7, 1109
List the prime factors of 21248.
2, 83
What are the prime factors of 14821?
14821
What are the prime factors of 135121?
7, 97, 199
What are the prime factors of 37816?
2, 29, 163
List the prime factors of 18546.
2, 3, 11, 281
What are the prime factors of 10337?
10337
List the prime factors of 804.
2, 3, 67
List the prime factors of 168924.
2, 3, 7, 2011
List the prime factors of 1956.
2, 3, 163
What are the prime factors of 700?
2, 5, 7
List the prime factors of 21693.
3, 7, 1033
List the prime factors of 990.
2, 3, 5, 11
List the prime factors of 2040.
2, 3, 5, 17
List the prime factors of 1782.
2, 3, 11
What are the prime factors of 6804?
2, 3, 7
What are the prime factors of 2034?
2, 3, 113
List the prime factors of 865.
5, 173
List the prime factors of 45001.
11, 4091
List the prime factors of 8257.
23, 359
What are the prime factors of 92697?
3, 11, 53
List the prime factors of 38306.
2, 107, 179
List the prime factors of 1123.
1123
List the prime factors of 53227.
17, 31, 101
What are the prime factors of 145111?
31, 151
What are the prime factors of 1332?
2, 3, 37
What are the prime factors of 11652?
2, 3, 971
List the prime factors of 1188.
2, 3, 11
What are the prime factors of 125210?
2, 5, 19, 659
What are the prime factors of 13171?
13171
List the prime factors of 12065.
5, 19, 127
What are the prime factors of 1308?
2, 3, 109
List the prime factors of 5961.
3, 1987
List the prime factors of 99098.
2, 49549
What are the prime factors of 1326?
2, 3, 13, 17
List the prime factors of 9240.
2, 3, 5, 7, 11
What are the prime factors of 47923?
17, 2819
What are the prime factors of 924?
2, 3, 7, 11
What are the prime factors of 2385?
3, 5, 53
What are the prime factors of 34?
2, 17
What are the prime factors of 1859?
11, 13
What are the prime factors of 394?
2, 197
What are the prime factors of 21876?
2, 3, 1823
List the prime factors of 53403.
3, 7, 2543
List the prime factors of 38087.
7, 5441
List the prime factors of 487.
487
List the prime factors of 1788.
2, 3, 149
What are the prime factors of 12619?
12619
List the prime factors of 633.
3, 211
What are the prime factors of 1875?
3, 5
List the prime factors of 60051.
3, 37, 541
List the prime factors of 7189.
7, 13, 79
List the prime factors of 3500.
2, 5, 7
What are the prime factors of 2298?
2, 3, 383
What are the prime factors of 2173?
41, 53
What are the prime factors of 1301?
1301
What are the prime factors of 5337?
3, 593
List the prime factors of 28204.
2, 11, 641
List the prime factors of 7394.
2, 3697
What are the prime factors of 3982?
2, 11, 181
What are the prime factors of 90653?
269, 337
List the prime factors of 674.
2, 337
List the prime factors of 1223.
1223
What are the prime factors of 1336?
2, 167
List the prime factors of 118658.
2, 79, 751
What are the prime factors of 4038?
2, 3, 673
List the prime factors of 15345.
3, 5, 11, 31
List the prime factors of 739.
739
List the prime factors of 47215.
5, 7, 19, 71
What are the prime factors of 410?
2, 5, 41
What are the prime factors of 100958?
2, 11, 13, 353
List the prime factors of 2686.
2, 17, 79
List the prime factors of 65843.
65843
List the prime factors of 2749.
2749
What are the prime factors of 18540?
2, 3, 5, 103
What are the prime factors of 1750?
2, 5, 7
What are the prime factors of 5?
5
List the prime factors of 13031.
83, 157
What are the prime factors of 3400?
2, 5, 17
List the prime factors of 7809.
3, 19, 137
What are the prime factors of 59009?
59009
What are the prime factors of 1277?
1277
What are the prime factors of 2623?
43, 61
List the prime factors of 1863.
3, 23
List the prime factors of 448.
2, 7
List the prime factors of 906.
2, 3, 151
What are the prime factors of 3517?
3517
List the prime factors of 1095.
3, 5, 73
What are the prime factors of 446?
2, 223
What a
|
{
"pile_set_name": "DM Mathematics"
}
|
g = 5 + -1. Suppose -g*d + 50 - 14 = 0. What is the smallest common multiple of d and 11?
99
Let a = -2/4001 + 52045/64016. Find the common denominator of a and -79/20.
80
Calculate the lowest common multiple of 16 and 21/(-7) - (-38)/2.
16
Let s = -2900 + 58073/20. Let x = 349/2 - 1205/7. Find the common denominator of s and x.
140
Let j(h) = -15*h**3 - 2*h**2 - h. Let t be 4/(-18) - 63/81. What is the lowest common multiple of j(t) and 20?
140
Let t = 577 + -2373/4. Suppose 0*j + 5 = -5*j, -s = -2*j + 6. Calculate the common denominator of (-2)/s*(-582)/33 and t.
44
Let k = -7 + 21. Let z(f) = 1. Let c(i) = -4*i - 6. Let n(g) = c(g) + 8*z(g). What is the smallest common multiple of k and n(-2)?
70
Let v(p) = p**3 + 3*p**2 - 4*p - 7. What is the lowest common multiple of v(-2) and 6?
30
Let r(q) = q**2 - 7*q + 9. Let i be r(6). Suppose 4*x + c = 54, 2*c - i*c + 68 = 5*x. What is the smallest common multiple of 20 and x?
140
Let c = 2/3533 - 152007/155452. Calculate the common denominator of 31/6 and c.
132
Let t be (-189)/(-35) + 2/(-5). Suppose 2 - 20 = -2*q - 2*i, -5*q + t*i + 45 = 0. What is the smallest common multiple of q and 5?
45
Find the common denominator of (-244)/40*(2 - 3) and 43/14.
70
Let w = 17 - 55. Let v be w/(-4) - (-7)/(-14). Suppose 4 = 4*x, -x = l + l - v. Calculate the least common multiple of l and 2.
4
Let q = -17 + 26. What is the smallest common multiple of q and 7?
63
Let d = -18470 + 221771/12. Calculate the common denominator of d and 1/4.
12
Let f = -14149/72 - -1682/9. Let o = 728/71 - 9839/1562. Calculate the common denominator of o and f.
88
Let z = -8/129 + -439/86. Let h = 7749 + -77569/10. What is the common denominator of z and h?
30
Let u(c) be the first derivative of c**4/4 - 2*c**3/3 - c**2/2 - 2*c - 1. Let p be u(3). What is the smallest common multiple of 12 and p/3*3*4?
48
Suppose 9 = -2*g + 3. Let t = 8 + g. Suppose -8*n + t*n = -60. Calculate the smallest common multiple of n and 4.
20
Let v = 1874/235 + -27/47. Calculate the common denominator of v and 19/8.
40
Suppose -2*f - 3 = -3*f. Let y be (-9)/(-2) - f/6. Suppose 2*l - y = -2*l. What is the lowest common multiple of l and 10?
10
Let o be 29303/(-2344) + (-6)/(-9). Let g = -3/2344 - o. Find the common denominator of g and -9/8.
24
Let o = 20 + 6. Calculate the lowest common multiple of 10 and o.
130
Let p be 26*(5/(-2) + 2). Suppose -2*m - 9*k + 62 = -4*k, 83 = 3*m + 5*k. Let n = p + m. What is the smallest common multiple of n and 14?
56
Let i be (-142732)/(-154) - 2/7. Let t = 202729/220 - i. Find the common denominator of 101/16 and t.
80
Suppose -y + 10 = -8. What is the smallest common multiple of 16 and y?
144
Let f be 2/(1 - (-57)/(-63)). Calculate the common denominator of -46/3 and (4/18 + 0)*f.
3
Let x = -11325 - -249077/22. Find the common denominator of -71/22 and x.
22
Let z = -259 - -425/2. Find the common denominator of z and -3/38.
38
Let b = 6620 - 66291/10. Calculate the common denominator of -145/42 and b.
210
Let u(h) = -h - 1. Let f(s) = s**2 + 5*s + 6. Let a(j) = f(j) - 2*u(j). Calculate the smallest common multiple of a(-7) and 12.
24
Suppose 108 = 5*z - 32. Suppose 5*c - 64 = 4*x, 3*c + 0*x - z = 5*x. What is the lowest common multiple of 18 and c?
144
Suppose 2*g + 88 = -3*y, 0 = 2*y - 4*g + 31 + 17. Let a = y - -52. Find the common denominator of (-114)/a*20/14 and 39/14.
14
Suppose -8 + 36 = 4*m. Let t(i) = -33*i + 1. Let z be t(-1). Calculate the least common multiple of 8 and m/35 + z/5.
56
Let y = -194345/22 + 8836. Calculate the common denominator of y and 113/20.
220
Let j = -15595 + 343183/22. What is the common denominator of 99/16 and j?
176
Suppose -g + 5*g - 52 = 0. Calculate the smallest common multiple of 1 and g - (0 - (1 - 3)).
11
Let o = -2219/4 - -543. What is the common denominator of 51/4 and o?
4
Suppose g - 3*g + 12 = 0. Calculate the smallest common multiple of (2 - 9/g)*2 and 2.
2
Let v(x) = x**3 + 6*x**2. Let u be v(-6). Let j = 2 - u. Suppose 0 = 2*w + 9*w - 44. Calculate the smallest common multiple of w and j.
4
Let z = -5161 - -51659/10. Find the common denominator of (-136)/(-35) + (-6)/(-15) and z.
70
Suppose 0 = n - 2 - 2. Calculate the lowest common multiple of (-585)/(-26) - (-2)/(-4) and n.
44
Let a = -44402/3027 - -2/1009. Calculate the common denominator of (-63)/(-8) + (-2)/8 and a.
24
Let n = -26/193 - 7705/1544. Let o = 48 - 112. Find the common denominator of 24/o*53/3 and n.
8
Let g(j) = -j**2 + 10*j - 8. What is the least common multiple of 24 and g(6)?
48
Let v(b) = b - 1. Calculate the smallest common multiple of v(16) and 33.
165
Suppose -18 = -2*d - 2. What is the least common multiple of 10 and 3 + d + -2 + 0?
90
Calculate the lowest common multiple of 20 and (-9)/21 - (-118)/14.
40
Let p(x) = -x**2 - 6*x + 2. What is the least common multiple of p(-5) and 3?
21
Suppose 37 = -i + 2*g, 0 = -2*i + 2*g - g - 89. Find the common denominator of i and 38/7.
7
Let b = 227032363/580398 + -2/96733. Let i = 384 - b. What is the common denominator of i and (-398)/36 - (-2)/9?
6
Let q be (-19)/(-7) + 2/7. Let t be (q/9)/((-1)/(-6)). Suppose 8 = 2*m + t*m. What is the lowest common multiple of m and 20?
20
Let m = 108 + -97. What is the smallest common multiple of 28 and m?
308
Let l be (-3)/2 - (-55)/10. Calculate the lowest common multiple of (l/(-10))/((-3)/30) and 5.
20
Suppose -3*p = 3*d - 36, p + 6 = 2*d - d. Calculate the smallest common multiple of 28 and d.
252
Let v = -7199 - -43079/6. Calculate the common denominator of -7/22 and v.
66
Let k = 6/85 + 1397/680. Find the common denominator of 89/12 and k.
24
Let u = -817 - -2479/3. Let z = -38 - 9. What is the common denominator of u and z?
3
Let j(v) = v**2 - 10*v - 4. Let p be j(10). Calculate the common denominator of 27/20 and p/10 - (-69)/10.
20
Let n(h) = h**2 + 5*h - 4. Let c be n(-6). Suppose u + 3*d - 13 = -2, 4*u - 86 = c*d. What is the least common multiple of 20 and u?
20
Calculate the lowest common multiple of 75/7 - (-4)/14 and 6.
66
Let d be ((-1761)/99)/(1/(-1)). Let i = d - 170/11. Find the common denominator of i and 41/4.
12
Let u(f) = 2*f - 4. What is the lowest common multiple of u(5) and 8?
24
Let g = 265 - 597/2. Suppose 4*z - 5*k - 400 = 0, -222 = 5*z - 5*k - 717. What is the common denominator of g and z/(-45) - 2/2?
18
Let d = 6570/13 - 1189014/2353. Let x = d - 8627/1810. Suppose 136 = -2*s + 6*s. Calculate the common denominator of x and s.
10
Let v(d) = -d**3 + d**2 + d + 78. Calculate the least common multiple of 18 and v(0).
234
Let g = -103/530 - 557089/1060. Let c = g + 529. Calculate the common denominator of c and -19/7.
28
What is the common denominator of 47/16 and (-8)/12*(-303)/12?
48
Find the common denominator of 65/16 and (-70)/(-68)*(-14 + 13).
272
Suppose p - 5 = -3, -36 = -2*n + 4*p. Calculate the lowest common multiple of 10 and n.
110
Let d = 3/5 + -44/15. Calculate the common denominator of d and 4/21.
21
Let z(h) = -1281*h + 4. Let n be z(3). Let u = -8966 - n. Let g = u + 30617/6. Find the common denominator of g and 49/16.
48
Suppose -h + 7 = -15. Let k = 38 - 18. Let a = 42 - k. Calculate the smallest common multiple of h and a.
22
Suppose 2*s + 2*s = 36. Let z = 34 + -19. Suppose -2*p - 26 = -3*j - p, z = -3*p. Calculate the lowest common multiple of s and j.
63
Let k be -5 - -2 - 0 - 0. Let p be (-4 + (-6)/k)*-44. Suppose -3*v + 7*v = p. Calculate the least common multiple of 22 and v.
22
Let a(o) = o**2 + 7*o - 2. Let i be a(-8). Suppose -z + 0*z + i = 0. Let f = 0 - -8. Calculate the smallest common multiple of f and z.
24
Let v be (1 + 69/21)*28. Let u = -85 + v. Calculate the common denominator of u and 48/5.
5
Let x = -21341 - -426729/20. Let q = -18887/140 - -653/35. Let i = q + 3229/28. What is the common denominator of i and x?
140
Calculate the common denominator of 93/16 and ((-2)/128)/(1/(0 - 186)).
32
Let g be (124/(-8))/(5/8). Let m = -1457/117 + -84133/6435. Let n = g - m. What is the common denominator of -43/4 and n?
44
Suppose -5*q = -4*q - 92. Suppose -5*g + 3*j - j + q = 0, -4*j - 64 = -4*g. Let w = 19 + 1. Calculate the smallest common multiple of g and w.
20
Let d = -3244/3 - -1091. Calculate the common denominator of -5/18 and d.
18
What is th
|
{
"pile_set_name": "DM Mathematics"
}
|
, 1, -24, 39 in ascending order.
-528, -24, 1, 2, 39
Sort 59, 0, 4, 5, -391, -6 in ascending order.
-391, -6, 0, 4, 5, 59
Sort -12, -3, 27, -1, -118, 46, -11.
-118, -12, -11, -3, -1, 27, 46
Put -51/11, 1/3, 40 in ascending order.
-51/11, 1/3, 40
Put -11, 5, -1, 4, 2583 in descending order.
2583, 5, 4, -1, -11
Put -7, -5, 304, -2, -43 in decreasing order.
304, -2, -5, -7, -43
Put 3/5, 3, 13, 0.4, 5.85 in ascending order.
0.4, 3/5, 3, 5.85, 13
Put 72, 2, 3, -5, 28, 23 in ascending order.
-5, 2, 3, 23, 28, 72
Put 24, -11612, -3, 0, 4 in decreasing order.
24, 4, 0, -3, -11612
Sort 2, -32, 5, 4949, 0, 2/9 in descending order.
4949, 5, 2, 2/9, 0, -32
Put 1, -7, -410111 in decreasing order.
1, -7, -410111
Sort -99, 26, -12.052 in decreasing order.
26, -12.052, -99
Sort -85712, -24, -41.
-85712, -41, -24
Put -18268, 1, -859 in descending order.
1, -859, -18268
Put 1391, 6, 0.4, -1/335, 2 in ascending order.
-1/335, 0.4, 2, 6, 1391
Sort -170, 11, -4, 0, -5, 3.
-170, -5, -4, 0, 3, 11
Sort 0.17, 3960, 2, 8, -2/13, -23.
-23, -2/13, 0.17, 2, 8, 3960
Sort 2/7, 556.1, -1, 89/6, 0, -0.1.
-1, -0.1, 0, 2/7, 89/6, 556.1
Sort -1, -13, -126376.
-126376, -13, -1
Sort 9, -375561, -5 in decreasing order.
9, -5, -375561
Put -9, -0.2, 835049 in decreasing order.
835049, -0.2, -9
Put -0.1, 4, 1/5, -0.079, 391 in descending order.
391, 4, 1/5, -0.079, -0.1
Sort 4, -11927, -223, 3, -3, -1 in descending order.
4, 3, -1, -3, -223, -11927
Put 25, -802, 83 in decreasing order.
83, 25, -802
Sort 2113, -4, -0.0665 in decreasing order.
2113, -0.0665, -4
Sort -117, 0, -12, -1, 1, -498, 2 in descending order.
2, 1, 0, -1, -12, -117, -498
Sort 2, -638, 0, 35, -3 in decreasing order.
35, 2, 0, -3, -638
Sort 8, -145, 100, 1, 0.5, 0.3 in decreasing order.
100, 8, 1, 0.5, 0.3, -145
Put 1, 27134/27, -11, 2/9 in ascending order.
-11, 2/9, 1, 27134/27
Put 7773, 85, 3, -4 in decreasing order.
7773, 85, 3, -4
Put 273, 1142, 11, -1, 2, -2 in ascending order.
-2, -1, 2, 11, 273, 1142
Put -1830, -363, -5 in increasing order.
-1830, -363, -5
Sort 7/6, -0.4, -19, 20 in descending order.
20, 7/6, -0.4, -19
Put 2, 0.4, 0.8, 3/6077, -4 in ascending order.
-4, 3/6077, 0.4, 0.8, 2
Put 4, 1934, -1, 36, 47, -4 in ascending order.
-4, -1, 4, 36, 47, 1934
Put -613990, -2, -0.1 in increasing order.
-613990, -2, -0.1
Put -7, 2, 5, 18, -2, -21, -1 in ascending order.
-21, -7, -2, -1, 2, 5, 18
Sort 0, -5, 2/15, -3, -1, -501 in decreasing order.
2/15, 0, -1, -3, -5, -501
Put 57, 5420, -4 in descending order.
5420, 57, -4
Sort -99, 3/6166, -2/23, 0.
-99, -2/23, 0, 3/6166
Put 6, -12, -64.194 in increasing order.
-64.194, -12, 6
Put 3, 37, -49, 313 in increasing order.
-49, 3, 37, 313
Put -4, 2643247, 24 in descending order.
2643247, 24, -4
Sort 0.4, 5, -2/5, 2, -51872, -2/7 in ascending order.
-51872, -2/5, -2/7, 0.4, 2, 5
Put 86, -2, -4/3, -0.5, -0.2, 56 in decreasing order.
86, 56, -0.2, -0.5, -4/3, -2
Put 28, -3, 162, -2, 9, 4 in ascending order.
-3, -2, 4, 9, 28, 162
Sort 69, -1, -11, 23, 0 in decreasing order.
69, 23, 0, -1, -11
Sort 83, 9, 0.11195.
0.11195, 9, 83
Sort -1, 10, 2, 10665, 7, -4.
-4, -1, 2, 7, 10, 10665
Put 88, 0, -64, 2650 in descending order.
2650, 88, 0, -64
Sort 32, -5, 0.016, 2/7, 2/5, 8, 5 in descending order.
32, 8, 5, 2/5, 2/7, 0.016, -5
Sort -28, 1, -58366, -4 in descending order.
1, -4, -28, -58366
Put -14108992, -5, 0 in descending order.
0, -5, -14108992
Put -4, -1/6, 8, 5782, -0.74 in decreasing order.
5782, 8, -1/6, -0.74, -4
Sort -3/2, -21, 268.2, -0.9.
-21, -3/2, -0.9, 268.2
Sort -0.74, 0, -34571.
-34571, -0.74, 0
Put 0, 1, -18977, -5, -2 in increasing order.
-18977, -5, -2, 0, 1
Sort -35, 5, 3, -4, -3, -2, -2651.
-2651, -35, -4, -3, -2, 3, 5
Sort -18, -28413, 4 in ascending order.
-28413, -18, 4
Sort -83, -0.5, 2.0391, 0.1.
-83, -0.5, 0.1, 2.0391
Sort 0, -103, 252, -4, -3 in ascending order.
-103, -4, -3, 0, 252
Put -0.9, 4, 18, 33, 0.5, -4/7 in decreasing order.
33, 18, 4, 0.5, -4/7, -0.9
Put 5, -73, 2, 6, -26, 4 in ascending order.
-73, -26, 2, 4, 5, 6
Put -95, 0, -5, 134, 14 in decreasing order.
134, 14, 0, -5, -95
Sort -0.1, -7, -11, 4/4341, 5, -2 in increasing order.
-11, -7, -2, -0.1, 4/4341, 5
Put 2, 547, -4, 11921 in decreasing order.
11921, 547, 2, -4
Sort -2598, 0.9, 2, 9, 6, 1/5 in descending order.
9, 6, 2, 0.9, 1/5, -2598
Sort -1, 2, -5, -32, -102, -14 in decreasing order.
2, -1, -5, -14, -32, -102
Sort 223, 977, -2, -5 in ascending order.
-5, -2, 223, 977
Sort -5, -21, -575, -3, 93, 4.
-575, -21, -5, -3, 4, 93
Sort 95950682, 3, -5 in ascending order.
-5, 3, 95950682
Put 5, 0, -2, -62627, -10, 1, -1 in ascending order.
-62627, -10, -2, -1, 0, 1, 5
Put 1, -4, 11, -2, 4, -136222 in descending order.
11, 4, 1, -2, -4, -136222
Sort 269532, 3, 9 in ascending order.
3, 9, 269532
Sort -39, 15, -2, -3, 4, -1, 27.
-39, -3, -2, -1, 4, 15, 27
Put 2, 28, 1, -6, 3, -56 in ascending order.
-56, -6, 1, 2, 3, 28
Sort -18, -1, -327, -4, 3.
-327, -18, -4, -1, 3
Sort -3, -2, 3, -351, 5.
-351, -3, -2, 3, 5
Sort 10, 11, -2, -5, 297, 4, 16.
-5, -2, 4, 10, 11, 16, 297
Sort -0.1, -630, -0.5, -1780 in descending order.
-0.1, -0.5, -630, -1780
Sort 20445, -1, -5, 2, 8, -3, 5 in decreasing order.
20445, 8, 5, 2, -1, -3, -5
Put -152761120, 4, -1 in descending order.
4, -1, -152761120
Sort -1, 1, 3, -30870, 5, -5, -2 in ascending order.
-30870, -5, -2, -1, 1, 3, 5
Sort 102, 3/2, -0.3, -0.2, -1/2 in ascending order.
-1/2, -0.3, -0.2, 3/2, 102
Sort 0, 43, 331, 110 in descending order.
331, 110, 43, 0
Sort 8, 0, 13, 2057.
0, 8, 13, 2057
Sort -6, -12, -1649, -5, 10 in increasing order.
-1649, -12, -6, -5, 10
Sort -0.2, 177/4, 0.066, -4, -1/4 in decreasing order.
177/4, 0.066, -0.2, -1/4, -4
Put 34, 52, 44, -5, 3, 1, 9 in descending order.
52, 44, 34, 9, 3, 1, -5
Sort -3304, 1, 0.037 in increasing order.
-3304, 0.037, 1
Put -0.03, 1, 6592.57, 2, -1, 1/3 in increasing order.
-1, -0.03, 1/3, 1, 2, 6592.57
Sort 0.5, 4/31617, -3/5, -6, -0.3 in increasing order.
-6, -3/5, -0.3, 4/31617, 0.5
Put -4, 23, -57, 3, -5, 15, 4 in decreasing order.
23, 15, 4, 3, -4, -5, -57
Put 4, 3973.146, 0.23 in increasing order.
0.23, 4, 3973.146
Sort 2, 4, -3, -2, 14254, -13.
-13, -3, -2, 2, 4, 14254
Sort 17, -0.04, 0.1, 1476.3, 2/27 in decreasing order.
1476.3, 17, 0.1, 2/27, -0.04
Sort -4, 0.4, -90204.06 in ascending order.
-90204.06, -4, 0.4
Put 2373089, -1, 0 in decreasing order.
2373089, 0, -1
Put 1619460, 0.1, 0.27 in decreasing order.
1619460, 0.27, 0.1
Sort 4, 50467, 3816.
4, 3816, 50467
Sort -5, -319, -16614 in increasing order.
-16614, -319, -5
Sort -143, 5, 8, 6586, -5 in decreasing order.
6586, 8, 5, -5, -143
Sort -99.3972, -5, 3 in descending order.
3, -5, -99.3972
Sort 1/533, -5, 2, 415, -1.
-5, -1, 1/533, 2, 415
Sort 0, 48, 306/59, 0.5, -0.01, 1 in descending order.
48, 306/59, 1, 0.5, 0, -0.01
Sort 1/41, 0.4, -27/5, 32, -2/51.
-27/5, -2/51, 1/41, 0.4, 32
Sort -9, 1312, -4, 3.
-9, -4, 3, 1312
Put 1, -1, -837, -3, 88, 0 in decreasing order.
88, 1, 0, -1, -3, -837
Sort -107, 158, -3, -10 in decreasing order.
158, -3, -10, -107
Put 23121, -0.33, 3/7, -0.3 in decreasing order.
23121, 3/7, -0.3, -0.33
Sort -4, -2, 3, 49, 1022, 205 in ascending order.
-4, -2, 3, 49, 205, 1022
Sort -0.1, 1.58, 1/730, 4.3.
-0.1, 1/730, 1.58, 4.3
Sort 0.1, 6502.4, 0 in ascending order.
0, 0.1, 6502.4
Sort 35, -0.04, 0.015, 75, 0.4, 3.
-0.04, 0.015, 0.4, 3, 35, 75
Sort -8.758, 2, 23.1, 3/2.
-8.758, 3/2, 2, 23.1
Put 92, 15, -9, -1, -5, 2 in descending order.
92, 15, 2, -1, -5, -9
Sort -84012.7, 0.4, -247, 4/3, 4/7 in descending order.
4/3, 4/7, 0.4, -247, -84012.7
Put 30, -4, 1, -27 in decreasing order.
30, 1, -4, -27
Sort -3/4, 65, -3638 in descending order.
65, -3/4, -3638
Sort -1, -0.334, -2/11, -3, 0.172 in decreasing order.
0.172, -2/11, -0.334, -1, -3
Sort 2, -1/33, -171, -6, 0.0215 in descending order.
2, 0.0215, -1/33, -6, -171
Put 1888, 46, -114, 3 in descending order.
1888, 46, 3, -114
Put -1/3, -47/2, 6746 in decreasing order.
6746, -1/3, -47/2
Sort 22070, -5, -2737 in descending order.
22070, -5, -2737
Put 2, -13, -159409, -3 in increasing order.
-159409, -13, -3, 2
Put 0, -236, 47, 49 in descending order.
49, 47, 0, -236
Sort -1, -93, 3, -3, 1892, 4, -11 in ascending order.
-93, -11, -3, -1, 3, 4, 1892
Sort -1, 30,
|
{
"pile_set_name": "DM Mathematics"
}
|
4).
2
Suppose x - 3*f = -8*f + 17, 0 = -x - 2*f + 8. Suppose 2*i - 8 = x. What are the prime factors of i?
5
Let m = -30 + 60. Suppose -5*c + m = -5. What are the prime factors of c?
7
Let f be 3*(0 - 4/(-3)). Suppose 5*r - 7 - 12 = -f*v, 5*v - 65 = 2*r. List the prime factors of v + (-3 - -2*1).
2, 5
Let g be 57/12 + (-1)/(-4). What are the prime factors of (-880)/(-24)*6/g?
2, 11
Suppose 4*g + 3*o = 41 + 58, -5*o - 67 = -3*g. What are the prime factors of g?
2, 3
Suppose 2*g + 27 = -3*g + l, -5*l = 15. Let t = g + 9. Suppose -t*a + 6 = -3. What are the prime factors of a?
3
Suppose 16*n - 507 = 13*n. What are the prime factors of n?
13
Suppose 0 = -p + 2 + 1. Suppose -6*x + 14 = 2. Let r = p + x. What are the prime factors of r?
5
Let l(i) be the first derivative of i**4/4 + 7*i**3/3 - 2*i**2 - 5. List the prime factors of l(-6).
2, 3, 5
Let k = 48 - 31. Let p(s) = -s**3 + 12*s**2 - 11*s - 9. Let m be p(11). Let l = m + k. List the prime factors of l.
2
Suppose -3*d + 21 = -4*t, 5*d - 4 - 8 = -t. Let a = -95 + 135. Suppose -d*l = l - a. List the prime factors of l.
2, 5
Let r(s) = 3*s**2 + 0 - 4*s - 1 + s**3 - 5*s**2 + 2. Let u be r(3). List the prime factors of ((-2)/(-2))/(u/(-8)).
2
Let q = -22 - -69. List the prime factors of q.
47
Suppose -8 = -3*m - k, -3 = -m - 5*k + 9. What are the prime factors of 1*m*8/2?
2
Let y(m) = -17*m + 60. List the prime factors of y(-7).
179
Let v = 9 - 17. Let s = v + 13. Let t(o) = o - 3. What are the prime factors of t(s)?
2
Let c(a) be the second derivative of a**5/20 + 7*a**4/12 + 5*a**3/6 + 7*a. What are the prime factors of c(-5)?
5
Let g(b) = 6*b**2 - 5*b + 5. What are the prime factors of g(3)?
2, 11
Let k = -5 - -24. What are the prime factors of k?
19
Let x = -1 + 3. Suppose -2*b - 3*b - 6 = -3*t, -t = -b - x. List the prime factors of (-1)/(-3)*(b + 9).
3
Suppose l + 2 = 4. Suppose 0 = -n - 4*z + 27, n + 36 = 5*n - l*z. List the prime factors of n.
11
List the prime factors of -1 - 14/(-10) - 1290/(-25).
2, 13
Let o(i) = 2*i**2 + 6*i - 11. List the prime factors of o(-6).
5
Suppose -4*v + v = 33. Let g = 50 + v. What are the prime factors of g?
3, 13
Suppose 130 = h + g, -2*h - 130 = -3*h + 4*g. What are the prime factors of h?
2, 5, 13
Let u = 125 - 86. Let y = -22 + u. What are the prime factors of y?
17
What are the prime factors of (54/10)/(11/55)?
3
Suppose -2*c - 1 = -0*w + w, 2*w - 8 = -2*c. Let q(i) = 2*i + 4. Let a be q(-5). Let b = w + a. What are the prime factors of b?
3
Let x = 17 + -12. Let f = -14 + 18. Suppose 5*j + 62 = x*v + 17, 46 = f*v - 2*j. What are the prime factors of v?
2, 7
Suppose 0 = -4*t + 16 + 44. List the prime factors of t.
3, 5
Suppose 34 - 14 = -2*r. Let l(x) = 12 - 2*x**2 - 9*x - 3*x**2 + 4*x**2. List the prime factors of l(r).
2
Let w(k) = k**3 + 7*k**2 + 5*k - 4. Suppose -29 = 3*t + 1. Let j be t/2 - (-1 - -1). List the prime factors of w(j).
3, 7
Let a(o) = o**3 - 6*o**2 - 8*o + 7. Let b be a(7). Suppose 10 = 5*k - 4*q, b*k + q + 4 = 2*k. List the prime factors of (-2)/(-3)*(k - -4).
2
Let d(h) = h + 5. Let k be d(-7). Let z be (-1 - (0 - 1))/k. Suppose 8 = v - z. List the prime factors of v.
2
Let y(c) = 4*c**2 + c - 9. Let x(r) = 3*r**3 - r**2 + r. Let a be x(1). What are the prime factors of y(a)?
2, 3, 5
Suppose 2*b = l - 6, 3*b = -l + 1 - 0. What are the prime factors of (-115)/(-13) + l/26?
3
Let i(q) = -q**3 - 5*q**2 - 4*q - 2. Let l be i(-4). List the prime factors of (2/l)/((-5)/10).
2
Let y = -54 + 120. List the prime factors of y.
2, 3, 11
Suppose 5*u = -0*f + 2*f + 5, -11 = 2*f + u. What are the prime factors of (f/(-10))/(2/132)?
3, 11
Let x(s) = 5*s - 8. Let g be (-6)/33 - (-136)/22. What are the prime factors of x(g)?
2, 11
Suppose -32 = -2*o - 2*o. Let y be (-140)/o*12/(-10). Suppose -2*r = -a - 17, 2*a + 1 - y = -5*r. What are the prime factors of r?
2, 3
Suppose -4*o + 3 + 5 = 0. List the prime factors of o.
2
Let m = 35 - -12. List the prime factors of m.
47
Let n(x) be the third derivative of x**4/6 + 5*x**3/6 - 3*x**2. Let t be n(7). What are the prime factors of 2*(1 - t/(-6))?
13
Suppose -3*h = -3*t - 189, 0 = 5*h - h + 4*t - 220. What are the prime factors of h?
59
Let v(b) = 4*b + 1. Let j = 7 - 7. Let d = 4 - j. What are the prime factors of v(d)?
17
Let o = -48 - -85. What are the prime factors of o?
37
Let d(n) = -n**3 + 7*n**2 - 5*n + 2. Let r be d(6). Suppose -r = -0*q + 4*q. List the prime factors of q/(-3) - 34/(-3).
2, 3
What are the prime factors of (-627)/(-12) - (-4)/(-16)?
2, 13
Let i = 13 + 4. What are the prime factors of i?
17
Suppose 8*v - 3*v = 0. List the prime factors of (1 - v) + 0 - -26.
3
Suppose -4*x + 129 + 143 = 0. Let o = -46 + x. List the prime factors of o.
2, 11
Let f(v) = 3*v - 2. Let p be f(3). Suppose -4*j - 2*s + 2 = 0, 0*s - 6 = -2*j - 2*s. Let o = p - j. List the prime factors of o.
3
Suppose 9*k = 13*k - 44. What are the prime factors of k?
11
Suppose 0 = 5*i - 0*i - 45. List the prime factors of i.
3
Let r(m) = 48*m**2. What are the prime factors of r(1)?
2, 3
Let w(k) = 22*k**2 + 4. List the prime factors of w(-2).
2, 23
Let b be (6/(-8))/((-2)/(-24)). Let c(z) be the second derivative of -z**5/20 - 5*z**4/6 - 11*z**3/6 - z**2/2 - 16*z. What are the prime factors of c(b)?
17
Let p(c) = c**2 - 9. Let b be p(-7). Let r = b - 22. Let d = r + -8. What are the prime factors of d?
2, 5
Let o(g) = -20*g + 20. What are the prime factors of o(-4)?
2, 5
Suppose -3*i - 256 = -2*m, m - 373 = -2*m - i. What are the prime factors of m?
5
Suppose 0 = -0*a - 7*a. Suppose a = -5*f - 41 + 251. What are the prime factors of f?
2, 3, 7
What are the prime factors of (-100)/42*-48 + 4/(-14)?
2, 3, 19
Suppose -2*s = -4*g - 12, 0 = -5*s + s + 3*g + 24. Suppose 2*p - 3*t = 9, 4*p - p + 3*t - s = 0. Let b(n) = 5*n + 4. What are the prime factors of b(p)?
19
Let h(u) = -u + 1. Let l be h(-2). Suppose 2*z - 285 = -l*z. List the prime factors of z.
3, 19
Let r = 0 + 3. List the prime factors of r/(1 - 8/20).
5
Let s(p) = p - 7. Let t be s(5). What are the prime factors of (-7 - t)*(-24)/5?
2, 3
Let x = 7 - 11. Let f be 159/6 + (-2)/x. Suppose 2*t - f = -3. List the prime factors of t.
2, 3
Suppose 98 = 2*l - 118. List the prime factors of l.
2, 3
Let t = 11 - 2. Let w(n) = -n**3 + 9*n**2 + n + 11. What are the prime factors of w(t)?
2, 5
List the prime factors of (16/2)/((-1)/(-40)).
2, 5
Suppose 0 = 3*j - 12. Let h(r) = j*r + 2*r + 0 - 7*r - 1. List the prime factors of h(-5).
2
Suppose 5 = 4*i - y - 2, i - 2*y = -7. Suppose -5*q - 4*x + 65 = 0, 0 = 2*q - i*q - 3*x + 24. List the prime factors of q.
3
Let c(f) = -12*f**3 + f**2. What are the prime factors of c(-1)?
13
Let z = 443 + -244. What are the prime factors of z?
199
Let h = -4 - -6. Suppose -7*s = -h*s - 95. List the prime factors of s.
19
Let l = 19 + -3. Let m be l*(-1 - (-6)/3). Suppose 0 = -5*t + 20, 2*w - m = t - 0*t. What are the prime factors of w?
2, 5
List the prime factors of (6625/35 - 8) + 2/(-7).
181
Let b(o) = -o + 2. Let a be b(2). Let j be 1 + (1 + -2 - a). Suppose -2*c + 5*h + 5 + 23 = j, -4*h = 8. List the prime factors of c.
3
Suppose 46 = 4*i + 2*s, s = -2*i - 2*s + 21. Let o be 1/(((-12)/(-21))/(-4)). Let m = o + i. List the prime factors of m.
5
Let z(t) = 2*t**3 + 2*t**2 - 2*t - 1. Let q be z(2). Suppose 21*k = q*k + 18. List the prime factors of k.
3
Let m(u) = u - 1. Let t be m(-2). Let w be t/(-9) - 1312/(-6). List the prime factors of 1/(-6) - w/(-18).
2, 3
Let p be (-2 - -180) + (-1 - -3). List the prime factors of 1/(-4) + p/16.
11
Let n be (12/8)/((-1)/(-46)). Suppose 285 = 4*t + n. List the prime factors of t.
2, 3
Let q(k) = 2*k**2 + 10*k + 10. What are the prime factors of q(-6)?
2, 11
Suppose 5*f + 0*f = 35. Let j = 13 - f. Suppose g - n - j = 0, -2*n = -3*g - 0*g + 22. What are the prime factors of g?
2, 5
Let y(i) = i**3 - 17*i**2 - 8*i - 6. List the prime factors of y(18).
2, 3, 29
Let c(f) = 4*f**2 - f - 1. Let v be -2 - 2*-1 - 0. Let u = v - 1. What are the prime factors of c(u)?
2
Let g be 7/(-3) + 1/3. List the prime factors of 12 + ((-4)/2 - g).
2, 3
Suppose 5*l + 2*z = z - 80, 3*z = 0. Let i = l + 30. What are the prime factors of i?
2, 7
Suppose q + q - 5 = w, 2*w = 2*q - 10. Let d(t) = 1 + 3*t + 1 - 4*t**2 + 15*t**3
|
{
"pile_set_name": "DM Mathematics"
}
|
rivative of 2*v**3*z**2 - 14*v**3*z - 5002*v**3 + v**2*z**2 - 3*v*z**2 + 2*v*z + 12768*z**2 wrt z.
4*v**3 + 2*v**2 - 6*v + 25536
Differentiate -1227*h**4 + 79*h**2 - 2*h + 1582447 with respect to h.
-4908*h**3 + 158*h - 2
Find the third derivative of 6795*u*w**5 + 2799*u*w**2 + 2*w**6 - 3*w**2 wrt w.
407700*u*w**2 + 240*w**3
Find the third derivative of -26694*l**3 - 56574*l**2.
-160164
Differentiate 19*n**3*o + 37*n*o*x + 21*n*x + 2*o - 2*x + 70163 wrt n.
57*n**2*o + 37*o*x + 21*x
What is the third derivative of 756*d**4 + 25*d**3 - 6*d**2 + 1319*d wrt d?
18144*d + 150
What is the first derivative of 9853*y + 34032?
9853
What is the second derivative of 20264*p**2*y**3 + 2*p**2*y - 3*p**2 - 14*p*y**3 - 456*p*y**2 wrt p?
40528*y**3 + 4*y - 6
What is the first derivative of 73*p**2 - 216*p + 93463 wrt p?
146*p - 216
Differentiate -1955*k**4 + 19*k**2 + 2*k - 789218.
-7820*k**3 + 38*k + 2
What is the first derivative of 2*d**2*l**2 - 4252*d**2*l*n + 12*d**2*l + 4*d**2*n - 5*l**2*n - 3*l**2 - 328 wrt n?
-4252*d**2*l + 4*d**2 - 5*l**2
Find the second derivative of 21*g**2*p**2*v - 280*g**2*p*v - g**2*v**3 + 103*g*p**2*v + g*p**2 + 2*g*p*v**3 - 20*p wrt g.
42*p**2*v - 560*p*v - 2*v**3
Find the third derivative of 1972512*p**3 + 365742*p**2.
11835072
What is the first derivative of 1543*y**3 + 2*y**2 + 2*y + 2783?
4629*y**2 + 4*y + 2
Find the first derivative of -335*s*w**2 - 132*s*w + 20*s - 812840*w**2 wrt s.
-335*w**2 - 132*w + 20
Differentiate 8*d**4 + d**3 - d**2 - 29974*d + 857128 with respect to d.
32*d**3 + 3*d**2 - 2*d - 29974
Find the second derivative of 434430*p**3 - 663397*p wrt p.
2606580*p
Differentiate -1166*l**3 + 160*l**2 + 727755 with respect to l.
-3498*l**2 + 320*l
What is the third derivative of -7*f**2*w**3 - 2*f**2*w**2 + 2*f*w**3 - 341*w**3 + 8947*w**2 wrt w?
-42*f**2 + 12*f - 2046
Find the third derivative of 18*h*l**2*z**3 + 8*h*l**2*z**2 + 1206*h*l**2 - 2*h*l - 11295*l*z**5 - 2*l wrt z.
108*h*l**2 - 677700*l*z**2
What is the second derivative of -82965*v**2 + 74619*v wrt v?
-165930
Find the second derivative of 2659135*m**3 + 8799*m + 70 wrt m.
15954810*m
What is the third derivative of 332447*v**4 + 62*v**2 + 25 wrt v?
7978728*v
Differentiate -154833*b**2 + 193885 wrt b.
-309666*b
Find the third derivative of 115*r**6 - 16*r**5 + 5*r**3 + 2769*r**2 + 2*r + 7.
13800*r**3 - 960*r**2 + 30
Find the third derivative of 10*l**4 + 1907*l**3 + 7*l**2 - 4*l + 1956.
240*l + 11442
Find the second derivative of 5*k**5 - 202*k**3 + 47*k**2 - 46*k - 1372.
100*k**3 - 1212*k + 94
Find the third derivative of 226071*l**5 - 2*l**2 + 2*l - 84339.
13564260*l**2
Find the first derivative of 35231*h + 46308.
35231
What is the first derivative of 2*g**4 + 92*g**3*p + 7*p + 3894 wrt g?
8*g**3 + 276*g**2*p
What is the third derivative of 40*i*s**4 + 487*i - 2*s**4 - 9315*s**3 + 1591*s**2 wrt s?
960*i*s - 48*s - 55890
Find the third derivative of 833766*a**3 + 2*a**2 - 2250*a + 3 wrt a.
5002596
What is the first derivative of 362365*t**3*u + 120*t**3 - 25*t**2 + 3*t - 2 wrt u?
362365*t**3
What is the third derivative of 2260507*b**5 + 42*b**2 + 3715 wrt b?
135630420*b**2
Find the second derivative of -58*b**4*v*z - 582*b**4*v - 2*b*v*z + 49*b*z + 482*v wrt b.
-696*b**2*v*z - 6984*b**2*v
What is the derivative of q**4 - 2*q**3 + 5*q**2 + 2498*q - 4833188 wrt q?
4*q**3 - 6*q**2 + 10*q + 2498
Find the third derivative of 43*o**5 + 2*o**4 - 14092*o**3 + 19*o**2 + 5*o + 1498 wrt o.
2580*o**2 + 48*o - 84552
Find the first derivative of -1266*r*s**3 - 2*r*s**2 + 2*r*s - 35*r + 360411*s**3 wrt r.
-1266*s**3 - 2*s**2 + 2*s - 35
What is the third derivative of 33642*v**4 + 10872*v**2?
807408*v
Find the second derivative of -25973*m**2 + 215*m + 10.
-51946
Differentiate -2361381*d**2 + 2874460 with respect to d.
-4722762*d
What is the first derivative of -13*b**2*o - 19*b**2*s - 69*b*o*s**2 + 123*s**2 wrt o?
-13*b**2 - 69*b*s**2
Differentiate 1299*s**3 - 36*s**2 - 173213.
3897*s**2 - 72*s
Find the third derivative of 16*k*o**3 - k*o**2 + 2*k*o - 3*k - 574*o**3 - 27 wrt o.
96*k - 3444
What is the second derivative of 71*n*q**5 + 37*n*q**3 - 3*n*q**2 + 54307*n - q wrt q?
1420*n*q**3 + 222*n*q - 6*n
Find the first derivative of 1073979*u - 4726543.
1073979
What is the first derivative of 55*i**4 + 18*i**3 - i**2 - 40*i - 95222?
220*i**3 + 54*i**2 - 2*i - 40
Find the second derivative of -2*b**3*i*p**3*r**2 + 13*b**3*i*p**2*r - b**3*p**3*r - 6987*b**3*r**3 + 167*b*i*p**3*r - p*r wrt r.
-4*b**3*i*p**3 - 41922*b**3*r
Differentiate -12*s**4 + 17335*s + 130987.
-48*s**3 + 17335
Find the second derivative of 121312*v**3 - 11*v + 4486 wrt v.
727872*v
Find the third derivative of 60701*t**3 + 2*t**2 + 3*t + 492 wrt t.
364206
Find the second derivative of 18865*r**4 - 50379*r wrt r.
226380*r**2
What is the second derivative of -1211626*c**2 + 430*c?
-2423252
What is the third derivative of -122526*m**4 - 16*m**2 + 12818*m?
-2940624*m
What is the second derivative of -2075*v**2*x**3 - 23*v**2*x**2 + 10696*v*x**3 + 3*x**3 wrt v?
-4150*x**3 - 46*x**2
What is the second derivative of 401510*f**2*w**3 - 41*f*w**3 + 2*f*w**2 - f + 5*w - 14 wrt f?
803020*w**3
What is the third derivative of 14204*f**5 + f**4*o - 7*f**3*o + f**2*o - f**2 - 198*f*o - 13*f wrt f?
852240*f**2 + 24*f*o - 42*o
What is the second derivative of -37*o**3 - 1669*o**2 + 474015*o wrt o?
-222*o - 3338
Find the third derivative of -5786*t**4 - 2*t**3 + 172*t**2 + 3*t wrt t.
-138864*t - 12
What is the third derivative of 42*k**6 + 2919*k**5 + 1735*k**2 + 19?
5040*k**3 + 175140*k**2
What is the second derivative of c**4 - 19915*c**3 + c**2 - 2325*c - 10?
12*c**2 - 119490*c + 2
What is the first derivative of -7302*r**3 - 321 wrt r?
-21906*r**2
Find the second derivative of 885178*i**2 + 220402*i.
1770356
What is the second derivative of 3*k**3*y**3 - 6772*k**3 - 4*k*y**2 + 103*k*y - 63*y**3 - y wrt k?
18*k*y**3 - 40632*k
Find the first derivative of 70*c*v - 178974*c - 706*v wrt v.
70*c - 706
Find the second derivative of -67884*d**3*r**2 + 5055*d**3*r + d**2*r**2 + 3*d*r**2 + 2*d*r - 15 wrt r.
-135768*d**3 + 2*d**2 + 6*d
What is the second derivative of 14760*k*p + 3*k*x**2 + 2*p*x**2 + 3*p*x - 2088*x**2 wrt x?
6*k + 4*p - 4176
Find the third derivative of 1036623*a**3*m**3 + 57*a**3*m + 3*a**2*m**2 + a**2 - 3*m**2 - 7 wrt m.
6219738*a**3
Differentiate -1217489*u - 2578497 wrt u.
-1217489
Differentiate -448718*h**4 + 346187.
-1794872*h**3
Find the second derivative of 7*b**3*j**3 + 50*b**3*j + 2*b**3 + 11*b**2*j**3 - 2*b*j + 11*b - 68*j**2 wrt j.
42*b**3*j + 66*b**2*j - 136
Find the second derivative of -2234*w**5 + 3*w**2 - 99*w - 133 wrt w.
-44680*w**3 + 6
Find the second derivative of -31*c**3*p*z**2 - 2*c**3*p*z - 8*c**3*z + c**2*p*z - 24331*p*z**2 - 5*p - 655 wrt z.
-62*c**3*p - 48662*p
Find the third derivative of 1278043*b**3 - 61*b**2 + 203*b - 51 wrt b.
7668258
What is the second derivative of -3*a**2*d**3 - 42*a**2*d**2 - 62*a**2 + 321*a + 18*d**3 wrt a?
-6*d**3 - 84*d**2 - 124
What is the third derivative of -b**3*m**2 + 40284*b**3*m - 10693*b**2*m**2 - 3*b**2*m wrt b?
-6*m**2 + 241704*m
What is the derivative of 1309439*a - 1188354 wrt a?
1309439
Differentiate -d**3*l*m + d**3*m + 12*d**2*l**2*m - 14*d**2*m + 182*d + 33*l**2*m with respect to l.
-d**3*m + 24*d**2*l*m + 66*l*m
Find the first derivative of -118269*o**2 + 101472.
-236538*o
Differentiate 306*v**2*w - 23214*v**2 + 4*v*w**3 - 3*w - 1 wrt w.
306*v**2 + 12*v*w**2 - 3
What is the third derivative of 13176*m**5*y + 3*m**3*y + m**2*y + 2*m*y + m + 8*y wrt m?
790560*m**2*y + 18*y
What is the third derivative of 100318*f**2*g*k**3*l - 194*f**2*l + f*g*k**2 + 2*f*g*k*l + 4*f*g - 3*k wrt k?
601908*f**2*g*l
Differentiate 130675*x + 954512.
130675
What is the second derivative of -2*d**5 + 49468*d**2*r**2 - 245*d*r**2 + 10*d*r - r**2 wrt d?
-40*d**3 + 98936*r**2
What is the second derivative of -3403743*b*f**3 + 28276*b*f - b + 5*f - 1 wrt f?
-20422458*b*f
Find the first derivative of -2*h**4 - 14089*h**3 - 32649 wrt h.
-8*h**3 - 42267*h**2
Find the first derivative of 16489*j**3*o + 3*j**2*o - 3*j*o + 1179*o - 30 wrt j.
49467*j**2*o + 6*j*o - 3*o
What is the second derivative of -973*f**3 - 16*f**2 + 15862*f?
-5838*f - 32
Find the third de
|
{
"pile_set_name": "DM Mathematics"
}
|
our letters picked without replacement from {e: 2, h: 2, c: 3, m: 2}.
1/252
Two letters picked without replacement from {a: 2, y: 1, m: 2, t: 4, l: 3}. Give prob of sequence tm.
2/33
Calculate prob of sequence gc when two letters picked without replacement from gceon.
1/20
Two letters picked without replacement from {e: 4, k: 3}. Give prob of sequence kk.
1/7
Calculate prob of sequence yyy when three letters picked without replacement from ppyppppypppy.
1/220
Three letters picked without replacement from fff. What is prob of sequence fff?
1
Calculate prob of sequence wx when two letters picked without replacement from {e: 1, w: 2, x: 2}.
1/5
Two letters picked without replacement from cmmcccccrcmccyry. Give prob of sequence cm.
9/80
What is prob of sequence aaaa when four letters picked without replacement from aaaa?
1
Two letters picked without replacement from brrbqxbbqbb. Give prob of sequence rq.
2/55
Two letters picked without replacement from shsssssshsssshs. Give prob of sequence hs.
6/35
Two letters picked without replacement from {w: 9, n: 5}. Give prob of sequence ww.
36/91
Calculate prob of sequence rfss when four letters picked without replacement from {r: 8, s: 5, f: 4}.
4/357
Calculate prob of sequence ncp when three letters picked without replacement from ffffpncofsfsffpso.
1/2040
Two letters picked without replacement from lsnynysl. What is prob of sequence ny?
1/14
Three letters picked without replacement from eeee. Give prob of sequence eee.
1
Four letters picked without replacement from aaeeuee. Give prob of sequence euee.
1/35
Calculate prob of sequence wwx when three letters picked without replacement from {w: 2, k: 1, x: 1, j: 1}.
1/30
Calculate prob of sequence cd when two letters picked without replacement from {c: 2, g: 1, d: 3, m: 2, z: 1, s: 3}.
1/22
Four letters picked without replacement from etteettete. Give prob of sequence ttee.
5/63
Four letters picked without replacement from moomtktttttmtttmmmk. Give prob of sequence kmmt.
15/2584
Three letters picked without replacement from {e: 1, s: 2, r: 5, j: 2, i: 2, v: 5}. Give prob of sequence ssr.
1/408
Calculate prob of sequence nqnn when four letters picked without replacement from nnnnzqnzz.
5/252
Two letters picked without replacement from jzwqzw. Give prob of sequence qw.
1/15
What is prob of sequence dyd when three letters picked without replacement from ydy?
0
Calculate prob of sequence xs when two letters picked without replacement from {k: 1, s: 1, g: 1, x: 2, u: 3, h: 3}.
1/55
What is prob of sequence iai when three letters picked without replacement from tkqktihkiat?
1/495
Four letters picked without replacement from {f: 6, a: 4, u: 2}. What is prob of sequence auua?
1/495
What is prob of sequence qq when two letters picked without replacement from qqqqqqqu?
3/4
Calculate prob of sequence vdd when three letters picked without replacement from {d: 6, v: 12}.
5/68
What is prob of sequence usur when four letters picked without replacement from cruucsrriyyi?
1/1980
What is prob of sequence yqy when three letters picked without replacement from {q: 5, n: 3, y: 3}?
1/33
What is prob of sequence dzz when three letters picked without replacement from azzpadpd?
1/84
What is prob of sequence vu when two letters picked without replacement from vvuuuuu?
5/21
Two letters picked without replacement from {p: 9, l: 4, m: 2, i: 1}. Give prob of sequence lm.
1/30
Two letters picked without replacement from pppp. What is prob of sequence pp?
1
Calculate prob of sequence mm when two letters picked without replacement from mmxmmxxxmmmxm.
14/39
Two letters picked without replacement from fzjonojjozzyozyfooz. Give prob of sequence ny.
1/171
Two letters picked without replacement from {g: 6, n: 4, a: 2, i: 6}. What is prob of sequence ga?
2/51
Three letters picked without replacement from jvnnvz. Give prob of sequence vzv.
1/60
Three letters picked without replacement from {p: 2, t: 10}. Give prob of sequence ttt.
6/11
Four letters picked without replacement from fjppvptfqtfp. What is prob of sequence fpfj?
1/495
What is prob of sequence gl when two letters picked without replacement from kllkdlllg?
5/72
Two letters picked without replacement from {b: 7, x: 1, i: 1}. Give prob of sequence ib.
7/72
Three letters picked without replacement from mokokmkmmok. Give prob of sequence okk.
2/55
Calculate prob of sequence rhe when three letters picked without replacement from {j: 1, r: 2, c: 2, h: 1, e: 1}.
1/105
Three letters picked without replacement from {d: 10, w: 2}. What is prob of sequence ddw?
3/22
Calculate prob of sequence dudd when four letters picked without replacement from uududuuuuuududduduu.
65/3876
Two letters picked without replacement from bbubbubbbub. What is prob of sequence uu?
3/55
Three letters picked without replacement from savssssssvvavssv. Give prob of sequence sva.
3/112
Two letters picked without replacement from etljmstmmelmss. Give prob of sequence st.
3/91
Two letters picked without replacement from yazghzz. Give prob of sequence zy.
1/14
Four letters picked without replacement from {u: 5, g: 7, o: 2}. Give prob of sequence ggoo.
1/286
Calculate prob of sequence ppk when three letters picked without replacement from {k: 2, p: 3}.
1/5
What is prob of sequence odoo when four letters picked without replacement from {x: 3, d: 2, r: 2, o: 5}?
1/99
Calculate prob of sequence regr when four letters picked without replacement from {r: 2, g: 3, h: 2, e: 3, u: 6}.
3/7280
Two letters picked without replacement from rraakkffffbfdkfararb. Give prob of sequence ka.
3/95
What is prob of sequence dt when two letters picked without replacement from ztdxddttxxdxtoddtddt?
12/95
What is prob of sequence vc when two letters picked without replacement from ssvcvjcsvsjvs?
2/39
What is prob of sequence utgg when four letters picked without replacement from ttvtgqtuttggtq?
1/572
What is prob of sequence uo when two letters picked without replacement from wusswvo?
1/42
Two letters picked without replacement from {o: 2, v: 1, s: 1, h: 3, u: 5}. Give prob of sequence vo.
1/66
Two letters picked without replacement from {s: 2, m: 2, d: 2, r: 2, f: 5}. Give prob of sequence fr.
5/78
Three letters picked without replacement from rkrrrrrkrkrr. What is prob of sequence kkk?
1/220
What is prob of sequence fzz when three letters picked without replacement from {f: 6, z: 7}?
21/143
What is prob of sequence cctc when four letters picked without replacement from {s: 7, c: 4, t: 3}?
3/1001
Calculate prob of sequence amk when three letters picked without replacement from kkfnnaknkkkmnkkz.
1/420
What is prob of sequence oo when two letters picked without replacement from {f: 2, o: 2, l: 1, g: 1, h: 4, j: 2}?
1/66
Three letters picked without replacement from {m: 4, s: 1, o: 3}. Give prob of sequence omm.
3/28
Two letters picked without replacement from {a: 11, p: 5}. What is prob of sequence aa?
11/24
Four letters picked without replacement from zzezzezeeeeezzzzzzz. What is prob of sequence eeee?
35/3876
Calculate prob of sequence lf when two letters picked without replacement from {m: 2, x: 1, a: 5, l: 3, f: 1}.
1/44
Four letters picked without replacement from {y: 2, o: 1, u: 1, b: 3, s: 4, a: 1}. Give prob of sequence uoas.
1/2970
Calculate prob of sequence nn when two letters picked without replacement from hnnrrnrr.
3/28
Three letters picked without replacement from {x: 1, n: 1, v: 1, f: 4, j: 4}. What is prob of sequence ffv?
2/165
Calculate prob of sequence iib when three letters picked without replacement from {i: 2, b: 3, f: 7}.
1/220
Two letters picked without replacement from {p: 1, q: 2, c: 2, w: 3, l: 4}. What is prob of sequence pw?
1/44
Three letters picked without replacement from uqqququluquuluq. Give prob of sequence llq.
2/455
Three letters picked without replacement from {b: 4, z: 7}. What is prob of sequence bzb?
14/165
Two letters picked without replacement from {y: 2, w: 9, d: 1, p: 4}. Give prob of sequence wp.
3/20
Calculate prob of sequence kkv when three letters picked without replacement from vvykvkyvk.
1/21
What is prob of sequence ycw when three letters picked without replacement from {w: 3, y: 3, k: 1, c: 7}?
3/104
What is prob of sequence ojjj when four lette
|
{
"pile_set_name": "DM Mathematics"
}
|
plify (5*sqrt(800)*5 - sqrt(800))/(sqrt(1210) + -5*sqrt(1210)*-4 - sqrt(1210) - sqrt(1210)) + 5.
96*sqrt(5)/209 + 5
Simplify -1*(1 + 3 + -2*-1*sqrt(425)) + -1 + 3.
-10*sqrt(17) - 2
Simplify (-1*-3*sqrt(68) - sqrt(68))/((sqrt(400) - -2*sqrt(400)) + sqrt(400)) + -1*(0 + sqrt(272) + 4)*-1.
4 + 81*sqrt(17)/20
Simplify ((5*(-3 + (sqrt(612) + -1)**2) - -5*(4 + 1 + sqrt(612))**2) + 3)*-2.
-12476 - 480*sqrt(17)
Simplify (sqrt(52)/sqrt(72) + sqrt(156)/(sqrt(18)/sqrt(3)))/(sqrt(2048) - (sqrt(10)/(sqrt(45)/sqrt(9)) + sqrt(2))).
7*sqrt(13)/180
Simplify ((sqrt(1300) - (sqrt(1300) + (2*sqrt(1300) - sqrt(1300))) - sqrt(1300)) + -4 + sqrt(1300) + -1*sqrt(1300)*-2 + -2)**2 + (sqrt(104)*4*-1)/(sqrt(648)*3).
-3244*sqrt(13)/27 + 1336
Simplify (2*(sqrt(72) + (sqrt(72) - -2*sqrt(72)*3))/((sqrt(1620) + sqrt(45))/sqrt(5))*-2)**2*4.
32768/49
Simplify -1*((sqrt(19) - sqrt(171)*-2) + -2) - (-5*sqrt(1900) + (sqrt(19) + sqrt(304) + -4)**2).
-489 + 83*sqrt(19)
Simplify (6*(1*sqrt(119) + sqrt(119))*-4*-5)/(((-2*sqrt(84) + sqrt(84))*-3)/(sqrt(24)/sqrt(18)))*3.
80*sqrt(17)
Simplify (1 + 2*(sqrt(1053) + 0)*1 + -4 + (1 + sqrt(1053)*-2 - -6*-1*sqrt(1053)))**2.
216*sqrt(13) + 37912
Simplify (3*2*sqrt(66)*3*6)/((2*sqrt(5400))/((sqrt(81) - sqrt(9))*4)).
216*sqrt(11)/5
Simplify (4*sqrt(1100)*1*-5)/((sqrt(320)/(sqrt(24)/sqrt(3)))/(sqrt(490)*-1 - sqrt(10))).
800*sqrt(11)
Simplify ((1*sqrt(2835) - sqrt(2835))/((sqrt(40)/sqrt(2) - sqrt(20) - sqrt(20))/sqrt(4)) - (5*sqrt(140)/sqrt(4) - sqrt(35))/((sqrt(50)/sqrt(2))/sqrt(5)))**2*-5.
-560
Simplify (1 + (sqrt(245) + 2)*6 + 5 + 3 + sqrt(405) + 0 + -4 + -1)**2.
1632*sqrt(5) + 13261
Simplify (5 + sqrt(108)/sqrt(4)*-4 + (sqrt(900) - (sqrt(900) - (sqrt(900) + (sqrt(900)*1 - sqrt(900)) + sqrt(900))))/(sqrt(12)*-2*-2) + 5)**2.
-190*sqrt(3) + 1483/4
Simplify 5*(-4 + 5*(sqrt(7) + sqrt(672)/sqrt(6) - sqrt(112)*-1 - (-4 + sqrt(77)/(sqrt(11)*-2)))**2).
1900*sqrt(7) + 64695/4
Simplify (5*(5 + ((sqrt(392)*-2*-6 - sqrt(392))/sqrt(7))/((-2*sqrt(2904))/sqrt(3))))**2.
-125*sqrt(7) + 2675/4
Simplify -3*((5*1*sqrt(11) + sqrt(11) + sqrt(11) + sqrt(44)/sqrt(4)*5)**2 + (-4*sqrt(77)/sqrt(7))**2 + -5)*-3.
15795
Simplify -4 + 1 + (sqrt(625)*2)/(sqrt(55)/sqrt(44)) + -1 + 1.
-3 + 20*sqrt(5)
Simplify ((-4 + (sqrt(76) + -4*(sqrt(76) + -2) - -4*2*sqrt(76)) + -4)**2 + 5)*-1.
-1905
Simplify ((-2*sqrt(6655))/sqrt(11) + 3*sqrt(40)/(sqrt(16)/sqrt(2)))*-5 + -1.
-1 + 95*sqrt(5)
Simplify (sqrt(6)/(sqrt(24)/sqrt(2) - sqrt(3)) + (sqrt(6)/sqrt(3) + -3 + sqrt(2) + -2)**2)*-1*-2.
-38*sqrt(2) + 66
Simplify -5*(-5 + -2*sqrt(17)*2 + (sqrt(17) - (sqrt(17) - (-3*sqrt(17)*2 - sqrt(17)))) + 5*((sqrt(170)*-5 + sqrt(170))/sqrt(10) - sqrt(17)))**2.
-110285 - 1800*sqrt(17)
Simplify (-1*sqrt(132)*-3 - -3*(sqrt(132) + -1*sqrt(132) + sqrt(132)))/(-4*(sqrt(12) + (sqrt(72)*1)/sqrt(6) + sqrt(12))*-5) + 5.
sqrt(11)/10 + 5
Simplify (6*sqrt(539)*1)**2 - (sqrt(539) + 2 + 0 + sqrt(539))**2 - (-3 + -4 + sqrt(539) + 2)**2.
14*sqrt(11) + 16680
Simplify (2*sqrt(78)*-3)/(sqrt(6) - (sqrt(12)/(sqrt(2)*1) - sqrt(6))) + 3 + (0 + 6*(sqrt(1872)*1 + sqrt(1872))*-3)**2.
-6*sqrt(13) + 2426115
Simplify 1*((sqrt(133) + sqrt(133) + (2*sqrt(133)*2 + sqrt(133) + sqrt(133) - sqrt(133)))/(sqrt(343)*-1) - ((sqrt(304) + sqrt(19))*-3*6 + 2)**2).
-153904 + 359*sqrt(19)
Simplify (5 + (-3*(sqrt(3328) + sqrt(52)))/((sqrt(44) - 2*sqrt(44))/sqrt(11)) + -4)**2.
54*sqrt(13) + 9478
Simplify ((5 + ((sqrt(242)*-1)**2 - sqrt(242)) + sqrt(242))*-3 - ((sqrt(242) + -4 + sqrt(242) + -1)**2 - sqrt(242) - (sqrt(242) + 1 + 3)))*5.
-8650 + 1210*sqrt(2)
Simplify (0 + -1*(2 + -2 + -2*sqrt(75)) + 1)**2.
20*sqrt(3) + 301
Simplify 1 + (-3*sqrt(133)*1 + sqrt(133))/(-1*sqrt(28)/sqrt(4)) + (sqrt(684) + -3)**2 + sqrt(114)/(-2*sqrt(6)).
-69*sqrt(19)/2 + 694
Simplify (-3*4*3*(sqrt(19) + (sqrt(19) - (sqrt(19) + 1 + sqrt(19)))) + (sqrt(171)/(sqrt(54)/sqrt(6)) - (0 + sqrt(2299))) + 0)**2.
-720*sqrt(19) + 3196
Simplify (6*(0 + -4*(-4 + sqrt(704) + (sqrt(704) + -2 - sqrt(704)) + 3 + 1 + 4)))**2.
18432*sqrt(11) + 407808
Simplify (5*(((sqrt(208) + 4 - sqrt(208)) + 2)*-3 + -1 + -5))**2.
14400
Simplify ((-1 + -5 + (-4 + sqrt(13)*-1*6)*3*-5)*-4)**2.
155520*sqrt(13) + 1731456
Simplify (sqrt(1216)*1 + sqrt(1216) + -4 + 1)**2*-5 + -3 + (sqrt(1216) + 1 + 5 - (3 + sqrt(1216)*-2)).
-24365 + 504*sqrt(19)
Simplify ((-3 + sqrt(704) + sqrt(704)*-2 + 5)*-1*3 + 2*(sqrt(704) + (sqrt(704) - (-1 + sqrt(704))))*5*3*-6)**2.
526752*sqrt(11) + 22090212
Simplify ((-3 + (1 + sqrt(75)*-3 + sqrt(75) - sqrt(75)) - (sqrt(75)*1 + 3 + 1)) + -4)**2.
400*sqrt(3) + 1300
Simplify (3 + ((0 + -1*sqrt(108))**2 - sqrt(108)) - (4 + (sqrt(108) + -2*sqrt(108)*-4 + sqrt(108))**2))*1.
-10693 - 6*sqrt(3)
Simplify -1*sqrt(171)*3 - (sqrt(171) - 2*(-3 + sqrt(171) + sqrt(171)))**2 - ((sqrt(190)/sqrt(490))**2 + 0 + sqrt(475) + sqrt(19) + 1).
-77243/49 + 93*sqrt(19)
Simplify -6*((2*sqrt(11)*-2 - sqrt(11) - sqrt(1331)*2)*-6)**2 - (-2 + (-6*sqrt(99)*2 + sqrt(99))/(-4*(sqrt(144) + sqrt(9)))).
-1732102 - 11*sqrt(11)/20
Simplify ((sqrt(171) - (sqrt(171) + (sqrt(171) + 5*(4*sqrt(171) - sqrt(171)) + sqrt(171) - sqrt(171))))*3)/((3*(sqrt(90) + 2*sqrt(90)))/sqrt(10))*-3.
16*sqrt(19)
Simplify (-3*sqrt(209)*2*-2*-2)/(3*sqrt(176)*-3).
2*sqrt(19)/3
Simplify (sqrt(304) - ((1 + sqrt(304))*-3 - sqrt(304)) - (sqrt(304) + (-1*sqrt(304) - sqrt(304)))*-1)**2 + (sqrt(684)/sqrt(108))/(sqrt(21)/sqrt(112)).
292*sqrt(19)/3 + 4873
Simplify ((5*sqrt(90)*4 - sqrt(90))/sqrt(3))/((sqrt(10) - -1*sqrt(490)) + (sqrt(80)/sqrt(2))/sqrt(4)) + 5.
19*sqrt(3)/9 + 5
Simplify ((sqrt(468) + 1 + sqrt(468) + 4 + 2 + (sqrt(468) + sqrt(468)*1*3 + sqrt(468))*6)*4)**2 + -5.
43008*sqrt(13) + 7668491
Simplify ((((sqrt(125)*-1 - sqrt(125)) + sqrt(125))*-4 - (sqrt(125) - (sqrt(125) + (sqrt(125) + -2)*4) - sqrt(125)))*2)**2*-1*-5.
-14400*sqrt(5) + 203780
Simplify 5*-5*(0 + -4*(sqrt(128)*2)**2 + (-5*-2*sqrt(128)*1)**2).
-268800
Simplify (((sqrt(847) - -3*sqrt(847)) + sqrt(847))*-5 + -5 + -4 + -3*sqrt(847) + 1)**2*4.
19712*sqrt(7) + 2656448
Simplify (2*(4*(1*sqrt(425)*-3 + sqrt(425) - sqrt(425)) + 5*(-1 + sqrt(425))*1 + 3))**2.
560*sqrt(17) + 83316
Simplify (sqrt(99)/sqrt(3))/sqrt(11) + (sqrt(75) + sqrt(75)*3)**2 + 3 - (sqrt(18) - (1*sqrt(180))/sqrt(10))/((sqrt(60)/(-3*sqrt(10)) - sqrt(6)) + sqrt(6)).
sqrt(3) + 1203
Simplify (sqrt(304) - (sqrt(304)*-4)**2)*-4 + 2 - ((sqrt(209) - (2*sqrt(209) - sqrt(209)))*3)/(1*sqrt(1584)).
-16*sqrt(19) + 19458
Simplify -2*(((1*sqrt(231) + sqrt(231))*6)/sqrt(11))/(sqrt(33)/(sqrt(539)*2 + sqrt(539))).
-504*sqrt(7)
Simplify (-3 + ((sqrt(175))**2 - sqrt(7) - sqrt(7)) + -3)*-6 + (-5*sqrt(84)*-1)/((sqrt(84)*2)/sqrt(7) - sqrt(12)).
-1014 + 17*sqrt(7)
Simplify (sqrt(280)/(sqrt(14)/sqrt(2)*6 + sqrt(7))*2)/((sqrt(64) - (sqrt(64)*-1 - sqrt(64) - sqrt(64))*4)/(1*sqrt(1152))).
24*sqrt(5)/91
Simplify 2*(2 + sqrt(304) + sqrt(304))*4 + -3*-5*(sqrt(304) + 1).
31 + 124*sqrt(19)
Simplify ((sqrt(88) - sqrt(88)*-1)*6 + sqrt(88) + sqrt(88) - (sqrt(88) + sqrt(88) + 2*-3*sqrt(88) + sqrt(88) + sqrt(88)))/(sqrt(800)*1*-4*2).
-sqrt(11)/5
Simplify 5*(2 + -1 + (-5*(sqrt(7) - (sqrt(7) + -1)**2) - sqrt(567)*1) + 5)*2.
-240*sqrt(7) + 460
Simplify -5*(sqrt(153) + (sqrt(153) + -1 + -1)**2 + (sqrt(153) + -2 + sqrt(153))*-1 + ((-2 + sqrt(153) + 0)*-2)**2).
-3935 + 315*sqrt(17)
Simplify (((sqrt(450)*-5 + sqrt(450))*4 - sqrt(450))/sqrt(10))/(sqrt(81) - -4*(sqrt(81) + -1*sqrt(81))).
-17*sqrt(5)/3
Simplify ((sqrt(190) + 1*sqrt(190) + sqrt(190))*-5)/(sqrt(490) + sqrt(490)*2 + sqrt(490)) + -1*(-3 + sqrt(1900) + 1)*6.
-1695*sqrt(19)/28 + 12
Simplify -3*((-6*2*sqrt(3200) + sqrt(3200) + sqrt(3200) + 2 + 5 + sqrt(3200))**2 + ((5 + sqrt(3200) + 2)*-6)**2).
-1128639 - 45360*sqrt(2)
Simplify (-3*((sqrt(65)*-1 + sqrt(65))*3)/(-2*sqrt(5)*2))**2 + (((sqrt(637) + -1)*2)**2 - (-4 + 1*sqrt(468) + sqrt(468))).
-68*sqrt(13) + 2556
Simplify (-2 + (sqrt(36)*2)/sqrt(12) + (sqrt(3) - (-1*sqrt(192) + sqrt(192))) + 5 + (-6*(sqrt(336) - -2*sqrt(336)))/(sqrt(77)/(sqrt(22)/sqrt(2))))**2 + -2.
-414*sqrt(3) + 14290
Simplify (4 + (((sqrt(168)*3 + sqrt(168))*1)/sqrt(7))/(sqrt(48)/sqrt(4)*-1 - (sqrt(192)*-2 + sqrt(12) + sqrt(12))))**2.
32*sqrt(2)/5 + 432/25
Simplify -4*((-1*sqrt(343)*-3 + 5)**2 + -4 + 2 + 2 + sqrt(343)).
-12448 - 868*sqrt(7)
Simplify (((-1*sqrt(170) - sqrt(170)) + sqrt(170))*4 - 1*s
|
{
"pile_set_name": "DM Mathematics"
}
|
st ten.
50
What is 1.312512 rounded to 1 decimal place?
1.3
What is 0.000177832 rounded to 6 dps?
0.000178
Round -55310930 to the nearest one hundred thousand.
-55300000
What is 5.576678 rounded to two decimal places?
5.58
What is -123324000 rounded to the nearest 1000000?
-123000000
What is -0.10802683 rounded to 1 dp?
-0.1
What is -0.00347777 rounded to three decimal places?
-0.003
What is 1240.935 rounded to the nearest one hundred?
1200
Round -7699.73 to the nearest 10000.
-10000
What is 174544300 rounded to the nearest 1000000?
175000000
What is 8.4593 rounded to the nearest integer?
8
What is -3378553 rounded to the nearest 100000?
-3400000
Round 134905.2 to the nearest 100000.
100000
What is -569.44194 rounded to zero dps?
-569
What is -41.7086 rounded to one dp?
-41.7
Round -144.96497 to the nearest ten.
-140
Round 0.0271092 to 4 decimal places.
0.0271
What is -419.7313 rounded to zero dps?
-420
Round -1.925508 to 3 decimal places.
-1.926
What is 942.2437 rounded to the nearest 10?
940
Round 1.01605 to two dps.
1.02
Round 0.55194 to one dp.
0.6
What is 0.0030899 rounded to 3 dps?
0.003
Round 4513.087 to the nearest 10.
4510
Round -2.1827667 to one dp.
-2.2
Round -11502.58 to the nearest 10.
-11500
What is 12825.9 rounded to the nearest one hundred thousand?
0
Round -22.3593 to the nearest ten.
-20
What is -24225320 rounded to the nearest one hundred thousand?
-24200000
What is -0.00001251776 rounded to six decimal places?
-0.000013
What is -0.0001929928 rounded to 6 decimal places?
-0.000193
Round -186.831 to the nearest ten.
-190
Round -157.375 to zero dps.
-157
Round -398064090 to the nearest one hundred thousand.
-398100000
What is -6398800 rounded to the nearest one million?
-6000000
Round -0.78237007 to 1 decimal place.
-0.8
Round 804.5818 to the nearest ten.
800
What is -0.000003795762 rounded to 7 dps?
-0.0000038
Round -92054.278 to the nearest 100.
-92100
What is -39119000 rounded to the nearest one million?
-39000000
What is 3450530 rounded to the nearest ten thousand?
3450000
What is -0.00000021348303 rounded to seven decimal places?
-0.0000002
Round -1715.79 to the nearest 100.
-1700
Round 18614253 to the nearest 10000.
18610000
Round -0.0000944084 to six decimal places.
-0.000094
Round -0.000322601 to 6 decimal places.
-0.000323
Round -308717600 to the nearest 100000.
-308700000
Round 0.0000000068142 to seven decimal places.
0
Round 51504.03 to the nearest one thousand.
52000
Round 0.0018549248 to 5 decimal places.
0.00185
What is 148474800 rounded to the nearest one million?
148000000
Round -0.006282235 to 4 dps.
-0.0063
What is 0.00000842048 rounded to 7 decimal places?
0.0000084
What is 21597900 rounded to the nearest one million?
22000000
Round -0.000000780873 to seven decimal places.
-0.0000008
What is -4516.7759 rounded to the nearest ten?
-4520
Round 1529751.3 to the nearest one hundred thousand.
1500000
What is 3530890.4 rounded to the nearest one hundred thousand?
3500000
Round 477487.9 to the nearest one hundred thousand.
500000
What is -0.00000266224 rounded to seven dps?
-0.0000027
Round 24676.98 to the nearest 10.
24680
What is -4457.0197 rounded to the nearest ten?
-4460
What is 0.061564 rounded to 3 dps?
0.062
Round -2.98746 to 3 dps.
-2.987
Round -124115 to the nearest ten thousand.
-120000
Round 1.0641267 to three decimal places.
1.064
Round 133.35 to the nearest 10.
130
What is 7450.68 rounded to the nearest 1000?
7000
What is -0.0131147265 rounded to six decimal places?
-0.013115
Round -41917890 to the nearest 1000000.
-42000000
Round 38238100 to the nearest 1000000.
38000000
What is -0.0226946 rounded to three decimal places?
-0.023
Round -0.000006636444 to seven dps.
-0.0000066
Round 15068356 to the nearest 1000000.
15000000
What is 168720.26 rounded to the nearest ten thousand?
170000
What is -2.559758 rounded to 3 decimal places?
-2.56
Round -1423.858 to the nearest 100.
-1400
What is -546.5791 rounded to the nearest one hundred?
-500
Round 0.002030798 to four decimal places.
0.002
Round -83.610404 to one decimal place.
-83.6
Round 4.4827482 to 3 decimal places.
4.483
What is -0.0642166 rounded to four dps?
-0.0642
Round -2.210799 to 1 decimal place.
-2.2
Round -0.4626922 to 2 dps.
-0.46
Round 676.4452 to the nearest 10.
680
Round 0.000474183 to 5 decimal places.
0.00047
What is -0.24840225 rounded to 1 decimal place?
-0.2
Round -34282 to the nearest one hundred thousand.
0
Round 71.036 to the nearest ten.
70
What is -0.00013914485 rounded to six decimal places?
-0.000139
Round 3.639476 to 3 dps.
3.639
Round -152286.2 to the nearest ten thousand.
-150000
What is 21421404 rounded to the nearest 10000?
21420000
Round -2.03589 to 2 dps.
-2.04
Round 0.000803745 to six decimal places.
0.000804
What is 1807.15 rounded to the nearest 1000?
2000
Round -33656450 to the nearest 1000000.
-34000000
What is 0.865581 rounded to four dps?
0.8656
What is -181.75103 rounded to two dps?
-181.75
What is -0.0000279436 rounded to 6 dps?
-0.000028
Round -0.3731548 to one dp.
-0.4
What is -243.95 rounded to 0 dps?
-244
Round 398.03315 to 1 decimal place.
398
What is -0.00049557332 rounded to four decimal places?
-0.0005
Round 0.4019701 to three dps.
0.402
Round -0.05027855 to two decimal places.
-0.05
Round -0.2434459 to 2 decimal places.
-0.24
What is -0.0027952 rounded to 3 dps?
-0.003
What is -78.1581 rounded to 0 dps?
-78
What is -9167075 rounded to the nearest one hundred thousand?
-9200000
What is -0.0014334774 rounded to four decimal places?
-0.0014
Round 2228.789 to the nearest ten.
2230
Round 363098000 to the nearest one hundred thousand.
363100000
What is 0.0223544 rounded to five dps?
0.02235
Round -0.01544653 to 5 dps.
-0.01545
What is -0.000109637 rounded to four dps?
-0.0001
Round -0.616105 to 1 dp.
-0.6
Round 0.000075737 to 6 decimal places.
0.000076
Round -0.0003722496 to five dps.
-0.00037
What is -98473.86 rounded to the nearest 1000?
-98000
What is 11.09342 rounded to the nearest ten?
10
Round -9913133300 to the nearest one million.
-9913000000
What is -0.014348 rounded to 4 dps?
-0.0143
Round -0.055790359 to 4 dps.
-0.0558
Round -25279400 to the nearest 100000.
-25300000
What is 633721.48 rounded to the nearest one thousand?
634000
What is 0.0003390714 rounded to 7 decimal places?
0.0003391
What is 877714 rounded to the nearest ten thousand?
880000
What is -2444.5484 rounded to zero dps?
-2445
Round 1.7727827 to 1 dp.
1.8
Round 50493390 to the nearest one hundred thousand.
50500000
What is -29183.498 rounded to the nearest one thousand?
-29000
What is -8406.11 rounded to the nearest ten?
-8410
What is -392.772 rounded to 0 dps?
-393
Round -1.336737 to 2 dps.
-1.34
What is -0.0129796 rounded to 3 decimal places?
-0.013
Round 4728430 to the nearest 1000000.
5000000
What is 0.0002913277 rounded to six decimal places?
0.000291
What is -0.821908 rounded to 3 decimal places?
-0.822
What is 0.00061953158 rounded to four decimal places?
0.0006
Round 0.00006343569 to six dps.
0.000063
What is -1514524900 rounded to the nearest 100000?
-1514500000
What is 0.0001575587 rounded to 6 decimal places?
0.000158
What is 0.14644904 rounded to five dps?
0.14645
Round -199773200 to the nearest one hundred thousand.
-199800000
Round 57023.57 to the nearest 100.
57000
What is -0.00001457143 rounded to five dps?
-0.00001
Round 0.288732 to one decimal place.
0.3
What is 9745.018 rounded to the nearest one thousand?
10000
Round 2188508800 to the nearest one million.
2189000000
What is -3.3112 rounded to zero dps?
-3
What is 524785.81 rounded to the nearest one hundred?
524800
What is 41828480 rounded to the nearest 1000000?
42000000
Round 4131.7326 to the nearest one hundred.
4100
Round -0.001096424 to 6 decimal places.
-0.001096
Round -3.37857 to 0 dps.
-3
Round -500509.4 to the nearest one hundred.
-500500
What is 0.0084700451 rounded to five dps?
0.00847
Round 0.025604765 to two decimal places.
0.03
What is 0.593425 rounded to two dps?
0.59
Round -0.092703 to 2 dps.
-0.09
What is 2909846 rounded to the nearest one hundred thousand?
2900000
Round -117184180 to the nearest one hundred thousand.
-117200000
What is -0.54946 rounded to one dp?
-0.5
Round -0.00238859 to 5 dps.
-0.00239
What is 0.0000043794 rounded to six dps?
|
{
"pile_set_name": "DM Mathematics"
}
|
the units digit of f?
2
Suppose 0 = -0*i + 2*i. Suppose -17 = -y - 3*d, i*d = y - 5*d + 23. What is the units digit of y?
2
Let t be 1*(2 - -2) - -2. Suppose w - n - t = -0*n, -2*n + 33 = 3*w. What is the units digit of w?
9
Let s(x) = -13*x - 2. Let l be s(-1). What is the units digit of l/33 + (-86)/(-3)?
9
Suppose 0 = w + 2*m + 4 - 30, 0 = -4*w - 2*m + 86. Suppose -13 = -3*h + w. What is the tens digit of h?
1
Suppose 4*t - 54 = 4*g + 6, 27 = t + 3*g. What is the tens digit of t?
1
Let w(x) = x**2 + x - 1. Let g(z) = z**3 - z**2 - z + 4. Let u be g(0). Let r = -6 + u. What is the units digit of w(r)?
1
Let i(k) = 7*k - 14. What is the units digit of i(8)?
2
Let c(l) = l**3 + 11*l**2 - 4*l - 16. What is the tens digit of c(-11)?
2
Let q(v) = 27*v**2 + 1. Let x be 2 - ((-12)/(-2) - 3). What is the units digit of q(x)?
8
Suppose -4*d + 2*w - 3 = -17, -3*d = -w - 8. Let t = d + -12. Let i = -6 - t. What is the units digit of i?
5
Let v(q) = -q + 41. What is the units digit of v(0)?
1
Suppose -m = -2 + 3. Let p = 4 + m. Suppose -p*b = -5*b + 2. What is the units digit of b?
1
Let x(q) = -4*q - 7. Let n be x(-5). Let u(z) = z**2 - 10*z + 1. What is the units digit of u(n)?
0
Let c(v) be the third derivative of v**6/120 - v**5/20 - v**4/12 + v**3/3 + 2*v**2. What is the tens digit of c(4)?
1
Let f be (-158)/22 + (-2)/(-11). Let d(s) = 2*s - s**2 - 9*s + 1 + 0*s**2. What is the units digit of d(f)?
1
Suppose -7 = -5*o + 8. What is the units digit of 0 + 4 + -5 + o?
2
Let r = 27 + -17. What is the units digit of r?
0
Suppose 5 = -b, b - 3 + 40 = -4*c. Let i = c + 11. What is the units digit of i?
3
Let x = 4 - -6. Suppose -v + x = -18. What is the units digit of v?
8
Suppose -2 = 2*w + 2. What is the units digit of (w + 52/6)*3?
0
Let t = -94 + 274. Suppose 2*r + 2*r - t = 0. What is the units digit of r?
5
Suppose 0 = 4*p - 5*m - 105 - 11, 0 = 4*m - 16. What is the units digit of p?
4
Suppose 194 = 5*x + 4. What is the units digit of x?
8
Suppose -17*h - h + 54 = 0. What is the units digit of h?
3
What is the units digit of ((-2401)/14)/(1/(-2))?
3
What is the tens digit of ((-21)/(-1))/(7 + (-36)/6)?
2
Suppose 4*x + 59 = u + 237, -x + 36 = 4*u. What is the tens digit of x?
4
Let q be (9 + -9)*(-2)/(-6). Let u(g) = g**2 + g - 2. Let l be u(q). What is the tens digit of (1*-8 - l)*-2?
1
Suppose -20*z - 285 = -23*z. What is the units digit of z?
5
Let x be (-6)/(-4) - (-17)/(-2). Let m = 10 + x. Suppose m*w - 53 = -20. What is the units digit of w?
1
Let c = 4 - -11. Suppose -2*o + 4*j = -o - c, -4*j = 3*o + 19. Let u = 3 + o. What is the units digit of u?
2
Suppose -v + 3*d = -4, -v - d - 4*d - 12 = 0. What is the tens digit of 0 - (-16 + v) - 0?
1
Suppose 2*t = -z + 3*z + 180, t - 108 = -5*z. What is the tens digit of t?
9
Suppose 0 = 5*d - d - 564. What is the hundreds digit of d?
1
Let g = 1 - 1. Suppose -4*s + 0*s + 44 = g. What is the tens digit of s?
1
Let u(g) = -g. Suppose -3*i + 3*z = -0*i + 6, -3*i = -2*z + 1. Suppose -6*x + i*x = 21. What is the units digit of u(x)?
7
Suppose -4*n + 5*r - 28 = -9, 0 = 2*n + 4*r + 16. Let l = 7 + n. What is the units digit of l?
1
Let u(k) = k**3 - 6*k**2 + 10*k + 8. What is the units digit of u(6)?
8
Suppose -12*p - 2904 = -24*p. What is the tens digit of p?
4
Suppose 130 + 108 = c + v, 4*c - 3*v - 945 = 0. What is the tens digit of c?
3
Suppose -4*j = y + 51 - 4, 94 = -2*y + 5*j. Let t = -20 - y. What is the tens digit of t?
2
Suppose u + 5*q - 2*q = -12, -3*u + 4*q + 29 = 0. Let m be 2/3 + 10/(-6). What is the units digit of m/u + 38/6?
6
Let k = 141 + -20. Suppose -4*s = -3*a - k, -2*s - 2*a = s - 78. Suppose 3*r - s = -1. What is the units digit of r?
9
Let b(l) = l - 5*l**3 - 6*l + 2*l - 1 - 3*l**2 + 2*l. What is the units digit of b(-2)?
9
Let v(c) = c**3 + 10*c**2 + 3*c - 12. What is the tens digit of v(-9)?
4
Suppose 0 = f - 2 + 6. Let h = f - -4. Let v = 1 - h. What is the units digit of v?
1
Let p(b) = -b**3 - b**2 + 4*b. Suppose y - 10 = -4*y. Let i be y/4 - (-21)/(-6). What is the units digit of p(i)?
6
Suppose -200 = -0*o - 5*o. Suppose 0 = 5*m - 0*m + o. Let c = m - -14. What is the units digit of c?
6
Let t be 6/4*(-16)/(-6). Let h(w) = -11*w + 1 + 4 + 12*w. What is the units digit of h(t)?
9
Suppose 0 = f + 3*f - 28. Let n = f + 7. Suppose 70 = 7*x - 2*x - a, n = x + a. What is the tens digit of x?
1
Let l = 87 + -27. What is the tens digit of l?
6
Let m(r) = r**3 + 7*r**2 - 4*r + 2. What is the tens digit of m(-6)?
6
Let f = -27 + 22. Let r(i) = 5*i + 1 + i**2 + 0*i**2 + 6. What is the units digit of r(f)?
7
Suppose 0 = -v - 2*j + 47, -3*v = -0*j - 3*j - 105. What is the tens digit of v?
3
Let l = 17 - 12. Suppose -24 - 26 = -5*t + l*p, 3*t = -2*p + 15. Suppose t*f - 2*f - 12 = 2*g, f = -5*g + 24. What is the units digit of g?
4
Suppose n + 3*f + 5 = 0, 3*f = 4*n + f + 48. Let s(p) = -7*p + 8. Let m be s(4). Let d = n - m. What is the units digit of d?
9
Suppose -o = -3*o + 62. What is the tens digit of o?
3
Suppose -3*a = -2*a. Suppose a = -5*x + 3*x + 26. What is the tens digit of x?
1
Let o(m) = m**3 + 4*m**2 - 1. Let k be o(-3). What is the tens digit of ((-10)/k)/((-1)/8)?
1
Let g be (2/5)/((-1)/(-65)). Let v = 14 - g. What is the units digit of 49/4 - (-3)/v?
2
Suppose f = -0*f. Let s(y) = y - 4. Let p be s(5). Let l = f + p. What is the units digit of l?
1
Let h(j) = j**2 - 3*j - 8. Suppose -35 = -9*u + 4*u. What is the units digit of h(u)?
0
Suppose 57 = -3*q + 4*q. What is the tens digit of q?
5
Let w(z) = -z**3 - 4*z - 4. What is the units digit of w(-4)?
6
Let y = 1 - 2. Let d(n) = 2*n**2 - n - 1. Let p be d(y). Suppose 0 = 2*k + p*k - 16. What is the units digit of k?
4
Let a(n) = -2*n - 7. Let l be a(-5). Suppose c - 8 = 2*c + l*v, -v = c. What is the units digit of c?
4
Let f(p) = p + 23. Suppose -5*h + 5*q = -35, -q - 75 = -5*h - 4*q. Suppose h = n - 2*n. What is the units digit of f(n)?
1
Suppose -s - 29 = 3. Let o be (s/20)/(4/(-10)). Suppose -l = -4 - o. What is the units digit of l?
8
Let h = -126 + 237. What is the hundreds digit of h?
1
Let i(y) = -y**2 + 5*y - 3. Let z(v) = 4*v**2 - 2*v + 1. Let c be z(1). What is the units digit of i(c)?
3
Let q(i) = i**2 + i + 3. Let f = 4 - 7. Let j be q(f). Suppose 5*t - 29 = -j. What is the units digit of t?
4
Let h(v) = 2*v**2 + 9*v + 5. What is the units digit of h(-6)?
3
Suppose 0 = -v + t + 35, -2*t = -4*v - 0*v + 146. What is the units digit of v?
8
Let k = 1 + 2. What is the units digit of k?
3
What is the hundreds digit of ((-59)/(-4))/(3 - (-115)/(-40))?
1
Let g(z) = 2*z - 12. Let l be g(8). Suppose 3 = -3*r - 0*r. What is the units digit of l/2 - (r - -1)?
2
Let m = -10 + 14. Suppose 70 = -m*q + 234. What is the units digit of q?
1
Let c(i) = 30*i**2 + 1. Suppose -7*g - 5 = -2*g. What is the units digit of c(g)?
1
Let d(c) = -3*c - 11. Let i be d(-5). Suppose i*h = 2*g + 20, g = 3*h - 5*h + 10. What is the units digit of h?
5
Suppose o + 0*o = -r + 4, 5*o = 4*r - 34. Suppose -7*p + r*p = -12. What is the units digit of p?
2
Let a = -5 - -1. Suppose -33 = 3*i - 3*g, 5*g + 1 = 16. Let d = a - i. What is the units digit of d?
4
Suppose 2*r = -2*r + 116. Suppose -2 + r = 4*x + 3*d, 2*x - 11 = d. What is the units digit of x?
6
Let t = -14 + 82. Suppose y - t = -3*y. What is the units digit of y?
7
Let p = 40 - 20. Suppose p = j + 2*s, 3*s - 21 = -3*j + 2*j. What is the units digit of j?
8
Suppose 5*f + 5*l + 17 = 557, -3*f - 2*l + 322 = 0. What is the units digit of f?
6
Suppose 0 = -4*c - 20, -2*f - 4*c - 194 = f. What is the tens digit of -2 + -1 - f/2?
2
Let t = -98 - -55. Let u = 60 + t. What is the tens digit of u?
1
Let u = 9 - 5. Suppose 54 = 5*c - u*j, -4*c + 59 = 3*j - 9. Let z = c - 5. What is the units digit of z?
9
Suppose -4*l + 6*l = 2. What is the units digit of (-1 - l) + (18 - 9)?
7
Suppose -4*w = -0*w - 3*g + 30, 4*g = 3*w + 19. What is the units digit of (6/5)/(w/(-30))?
4
Suppose -12 = -5*z - 2. Suppose -3*s + 2*y = -0*y - 22, -2*s - z*y = -8. What is the units digit of s?
6
What is the units digit of (-3 + (-24)/(-9))*-42?
4
Let x = -4 + 1. Let y = x + 5. Suppose -y*i = 2*b + b - 40, b + 4*i = 30. What is the units digit of b?
0
Suppose z + 26 = 5*d, -2*z + 4 = -z. Let w(i) = -i**3 + 7*i**2. What
|
{
"pile_set_name": "DM Mathematics"
}
|
- 4*g = 27. Let f(m) = -7*m**2 + 9*m + 5. Let s(v) = -3*v**2 + 4*v + 2. Calculate q*s(h) + 2*f(h).
h**2 - 2*h
Let z(o) = -4*o**3 + 5*o**2 + 3*o. Let n(x) = -3329*x**3 - 2 + 2 - 6*x**2 + 3*x + 3334*x**3 - 6*x. Calculate -5*n(h) - 6*z(h).
-h**3 - 3*h
Suppose -k - y = -2*y - 12, 0 = 5*k + 2*y - 46. Let v(z) = z**2 + z. Let w(j) = -3*j**2 - 2*j. What is k*v(m) + 5*w(m)?
-5*m**2
Let d(c) = -c**3 - c - 1. Let w(z) = -61 + 16*z + 64 + 4*z**3 - 4*z**2 - 12*z - 2*z**3. Calculate -3*d(h) - w(h).
h**3 + 4*h**2 - h
Let s(d) = d + 2. Let y(f) = 4*f**2 - 4*f - 7. Let i(t) = -2*s(t) - y(t). Let h(p) = 3*p**2 - p - 2. Calculate 3*h(m) + 2*i(m).
m**2 + m
Let o(b) = -9*b**2 - 190*b + 57*b + 69*b + 64*b. Let d(t) be the first derivative of t**3/3 - 1. What is 24*d(f) + 3*o(f)?
-3*f**2
Let n(d) be the first derivative of d**2 - d + 283. Let m(i) = -2*i + 1. Calculate -5*m(t) - 6*n(t).
-2*t + 1
Let u(v) = -6*v**3 + 3*v**2 - 2*v + 3. Let b be -4 + (-7 + 16 - 6). Let y(j) = j**3 - j**2 - 1. Determine b*u(x) - 3*y(x).
3*x**3 + 2*x
Let d(b) = -b**3 + 64*b**2 - 2*b + 2. Let f(r) = -65*r**2 + 3*r - 3. What is 6*d(m) + 4*f(m)?
-6*m**3 + 124*m**2
Suppose -17*p = -18*p + 79. Let b = p + -74. Let n(x) = x**3 - 5*x**2 - 7*x + 2. Let a(o) = o**3 - 4*o**2 - 6*o + 2. Give b*a(v) - 4*n(v).
v**3 - 2*v + 2
Let g(l) = -5*l. Suppose 20 + 65 = 5*u. Let n(y) = -106 + 106 - 14*y. Calculate u*g(a) - 6*n(a).
-a
Let w(s) = 7*s - 3. Let j = -62 - -63. Suppose -3*z + 3 = 2*n - j, -4*z + 4 = 2*n. Let m(r) = -3*r + 1. Determine n*w(t) + 5*m(t).
-t - 1
Let v(g) = -17*g - 7. Let k = -2108 - -2102. Let p(f) = -9*f - 4. Let h(l) = -3*l - 4. Let j be h(-5). Determine j*p(o) + k*v(o).
3*o - 2
Let s(t) = 25*t**3 - 7*t**2 + 11*t - 33. Let q(f) = -13*f**3 + 3*f**2 - 6*f + 18. Calculate -11*q(k) - 6*s(k).
-7*k**3 + 9*k**2
Let d = -2 - -3. Let z be 0 + (-1 + -1)/(-1). Let s(v) be the first derivative of 3*v**2/2 + v - 1135. Let k(i) = -i - 1. Give d*s(g) + z*k(g).
g - 1
Let n(w) = 12*w - 1. Let k(z) = 35*z - 6. Let i be k(0). Let m(x) = 12*x - 1. What is i*m(u) + 5*n(u)?
-12*u + 1
Let p(n) = -6*n**3 - 3*n**2 - 3. Let o(h) = h**3 + h**2 + 1. Let l = 687 - 684. Give l*p(x) + 9*o(x).
-9*x**3
Let x(l) = -l - 1. Let c(p) = -2*p. Let r(a) = -2*c(a) + 2*x(a). Let n be (-33)/(-9) + 1/3. Let d(t) = 2*t - n*t + 27 - 25. Calculate 3*d(u) + 2*r(u).
-2*u + 2
Let j(p) = -25. Let l(m) = -m - 27. Determine 3*j(z) - 2*l(z).
2*z - 21
Let q(s) = 413*s - 9. Let u(a) = -827*a + 15. Calculate -5*q(h) - 3*u(h).
416*h
Let f(z) be the first derivative of -2*z**3/3 + 3*z**2 + 6*z - 82. Let p(x) = -x - 1. Determine -2*f(y) - 14*p(y).
4*y**2 + 2*y + 2
Let r(q) = -q**2 + 11*q + 8. Let y(s) = 3*s - 3. Let o be y(3). Let l be 1 - (-8)/(-6) - (-20)/o. Let h(g) = -4*g - 3. Give l*r(k) + 8*h(k).
-3*k**2 + k
Let a(y) = -y**2 + 1. Let p(k) be the third derivative of k**5/10 - 7*k**3/6 + 88*k**2. Give -35*a(f) - 5*p(f).
5*f**2
Let n be -25*-7*11/(-385). Let y(p) = -2*p - 7. Let o(l) = l + 6. Calculate n*y(h) - 6*o(h).
4*h - 1
Let c(x) = -10*x. Let k(o) = 1. Let h be 8/6*222/148. Calculate h*k(t) + c(t).
-10*t + 2
Let i(q) = q + 2. Let p(r) = -r + 25. Let x be p(-11). Let o = -27 + x. Let h(z) = -5*z - 9. Give o*i(c) + 2*h(c).
-c
Let s(y) = -31*y + 13. Let n(w) = -w**2 - 35*w - 202. Let r be n(-7). Let i(o) = 16*o - 7. Determine r*s(u) - 11*i(u).
10*u - 1
Let d(n) = 4*n. Let k be 3*(4 + -3)/(-7 + 8). Let f(b) be the first derivative of 6*b**2 - 1. Calculate k*f(t) - 10*d(t).
-4*t
Let s(f) = 2*f**3 + 16*f - 88. Let n(i) = 3*i. Determine 6*n(q) - s(q).
-2*q**3 + 2*q + 88
Let x(z) = -6*z**3 - 3*z + 3. Let o(b) = -5*b**3 - 409 + 0*b - 2*b + 411. Calculate 3*o(n) - 2*x(n).
-3*n**3
Let l(y) = -3*y**3 + 5*y**2 - 3*y. Let u(q) be the first derivative of -q**4/4 + q**3/3 + q**2/2 - 564. Give l(s) - 5*u(s).
2*s**3 - 8*s
Let d(v) = -2*v**3 + v**2 + v - 1. Let n(w) = -10*w**3 + 4*w**2 + 4*w - 75. Give 4*d(u) - n(u).
2*u**3 + 71
Let o(i) = -3*i - 1. Let j(p) be the first derivative of p + 1. Let f(k) = j(k) - o(k). Let m(a) = -a. Suppose d = -0*d - 1. What is d*m(s) - f(s)?
-2*s - 2
Suppose 4*g = -0 + 4. Let w(b) = -b. Let f(x) be the first derivative of 1/2*x**2 - 29 + x. Determine g*w(y) + 2*f(y).
y + 2
Let g(w) be the third derivative of w**4/24 - w**2. Suppose 4*p - 15 = -h, -5*h = -3*p + 2 + 15. Let a(b) = -3 - 2*b + 1 + 0. Determine h*g(c) - a(c).
c + 2
Let t(u) = -6*u**2 - 3*u + 7. Let n(z) = 15*z**2 + 5*z - 15. Give 3*n(y) + 5*t(y).
15*y**2 - 10
Let j(q) = -102*q - 190. Let l(n) = 34*n + 68. Let b(g) = -5*j(g) - 14*l(g). Let x(r) = -17*r + 1. Calculate 6*b(s) + 13*x(s).
-17*s + 1
Let b(i) be the first derivative of -i**2/2 + 2. Let v(m) = -2. Suppose 2*g - 3*h = 17, -4*g - 9 = 2*h - 3. Suppose -3*x = -2 - g. What is x*v(o) - 2*b(o)?
2*o - 2
Let w(n) = -2*n + 86. Let q(t) = 2*t - 43. Calculate -5*q(h) - 3*w(h).
-4*h - 43
Let x(n) = 2*n**3 + n**2. Let j(f) = 3*f**3 + 4*f**2 + f - 34. Calculate -j(g) + 3*x(g).
3*g**3 - g**2 - g + 34
Let f(u) = -24*u**2 + 3*u + 3. Let q(m) = 455*m**2 - 56*m - 56. What is -56*f(s) - 3*q(s)?
-21*s**2
Let h(v) = 8*v - 10. Let y(f) = -9*f + 9. Calculate 5*h(x) + 6*y(x).
-14*x + 4
Suppose 0 = -15*m + 225 - 315. Let g(f) = f + 5. Let b(a) = 1. Calculate m*b(q) + g(q).
q - 1
Suppose 1 = -c + i, 3*c - 8*c - 4*i = -40. Let f(t) = -6*t**2 - 4. Let k(n) = 6*n**2 + 5. Give c*k(j) + 5*f(j).
-6*j**2
Let b(k) = 19*k**3 - k**2 - 5*k. Let m(d) = -d**3 - 31*d**2 + 5*d + 158. Let a be m(-31). Let r(l) = 10*l**3 - l**2 - 3*l. What is a*b(x) - 5*r(x)?
7*x**3 + 2*x**2
Suppose -3212*n + 3201*n = -33. Let l(k) = 4*k**3 + 5*k**2 - k - 3. Let q(p) = 8*p**3 + 9*p**2 - 2*p - 5. Determine n*q(f) - 5*l(f).
4*f**3 + 2*f**2 - f
Suppose 2 = -2*z - 6. Let k = 9 + z. Let c(l) = -l + 2. Let t(a) = 23 + 3*a - 31 + 3. Give k*c(o) + 2*t(o).
o
Let x(d) = 41*d + 164. Let o(s) = s + 2. What is 82*o(f) - x(f)?
41*f
Let d(r) = 3*r - 4. Let w(s) = -7*s. Let m(c) = -20*c - 1. Let k(z) = m(z) - 3*w(z). What is 3*d(y) - 12*k(y)?
-3*y
Let s(v) = -719*v**2 + 39*v - 13. Let o(r) = 359*r**2 - 18*r + 6. Calculate -13*o(y) - 6*s(y).
-353*y**2
Let n(z) = 3*z**3 + 2*z**2 - 402*z + 2. Let q(r) = 10*r**3 + 7*r**2 - 1211*r + 7. What is -7*n(w) + 2*q(w)?
-w**3 + 392*w
Let l = -3450 - -3467. Let b(t) be the third derivative of t**4/6 - 2*t**3/3 + t**2. Let i(x) = -12*x + 11. What is l*b(g) + 6*i(g)?
-4*g - 2
Let x(i) = -2*i**3 - 2*i**2 - 2*i + 3. Let z(u) = -u**2 - u + 1. Suppose -6*t - 10 = -t. Let k = t + 4. Give k*z(a) - x(a).
2*a**3 - 1
Suppose -12*d + 56*d - 88 = 0. Let o(i) = -9*i + 2. Let k(p) = 242*p - 55. Calculate d*k(j) + 55*o(j).
-11*j
Let q(y) = 9*y - 26. Let f(m) = 5*m - 12. Determine -13*f(s) + 6*q(s).
-11*s
Let a(c) = 2*c**3 - 8*c + 2. Let m(s) = s**3 - 7*s + 3. What is -3*a(k) + 2*m(k)?
-4*k**3 + 10*k
Let p(f) be the first derivative of -4/3*f**3 + 0*f - 3/2*f**2 + 11. Let w(y) = -15*y**2 - 11*y. Determine -22*p(v) + 6*w(v).
-2*v**2
Let c(p) = -361*p**3 + 19*p**2 + 38. Let s(f) = -60*f**3 + 3*f**2 + 6. Determine 6*c(n) - 38*s(n).
114*n**3
Suppose -5*r - 4 - 31 = 0. Let b(f) = -f. Let n(d) = 2*d + 1. What is r*b(p) - 4*n(p)?
-p - 4
Let t(v) = 3. Suppose 4*q - 40 = 4*w, 3*q = -2*q - 3*w + 26. Let y(l) be the second derivative of -l**3/6 - 7*l**2/2 - 14*l. What is q*t(g) + 3*y(g)?
-3*g
Let z(f) = -f**2 + f. Suppose 20*t = 7*t - 78. Let j(i) = 13*i**2 - 8*i. Give t*z(c) - j(c).
-7*c**2 + 2*c
Let m(n) = -5*n - 8. Suppose -3*z + 45 = -5*r, 2*r + z - 23 = 5*r. Let b(s) = -5*s - 7. What is r*b(t) + 5*m(t)?
5*t + 2
Let v(y) = -34*y**3 + 7*y**2 + 4*y - 2. Let q(o) = -11*o**3 + 2*o**2 + o. Determine 7*q(c) - 2*v(c).
-9*c**3 - c + 4
Let t(d) = -4*d - 14. Let v(b) be the first derivative of -b**2/2 - 5*b + 422. Calculate -3*t(g) + 8*v(g).
4*g + 2
Let z(k) = -6*k. Let n(v) = 3*v - v - v. Let l be 69*3*(-2)/(-18). Let q = l - 32. What is q*n(j) - z(j)?
-3*j
Let x(v) = -13*v**2 + 8*v - 3. Let f(j) = 28*j**2 - 18*j + 7. Let y(z) = -3*f(z) - 7*x(z). Let a(d) = -21*d**2 + 7*d. What is 4*a(m) + 14*y(m)?
14*m**2
Suppose 0*s + 14 = s + 2*k, -5*k + 37 = 3*s. Let w(z) = 2*z**2 + 15*z - 4. Let x(n) = n**2 + 8*n - 2. Determine s*w(g) - 7*x(g).
g**2 + 4*g - 2
Let r(x) be the first derivative of -3*x**4/2 + 3*x**2/2 - 66. Let q(a) = 11*a**3 - 5*a. What is -3*q(m) - 5*r(m)?
-3*m**3
|
{
"pile_set_name": "DM Mathematics"
}
|
29. Solve 0 = -4*j - 3*x + 2*x + k, j - 5*x = -15 for j.
5
Let n be -10*(1 - 2)*(-7)/(-14). Suppose 0*m + 4*i = n*m - 537, 0 = 4*i - 8. Let l = m + -107. Solve 4*a + 4 = -p, -5*a - l*p - 5 = -6*p for a.
-1
Suppose -3*m + 35 = -4*d, 129 = d + 134. Solve -4*u + 82*j = 78*j - 24, 0 = -m*u - 5*j - 10 for u.
2
Suppose -12*r + 402 = -14*r + 2*u, -2*r - 402 = u. Let o = 202 + r. Solve 8*i + 9 = -k + 3*i, 5*k + 3*i = -o for k.
1
Let l be (-20)/(-4) - (-2)/(-1). Suppose -7*a + 5*a + 10 = 0. Suppose 2*v + a*c = 5*v - 68, -4*c = 2*v - 60. Solve -u - v = -l*h - 6, 5*u + 50 = 5*h for u.
-5
Let k = 75 - 73. Suppose k*z = 4*r, 0 = 3*z - 0*r - r - 15. Let j = z - 3. Solve 14 = -4*q + 5*y - 6, -j*q - 5*y - 15 = 0 for q.
-5
Suppose -2*o + 7*o - 15 = 0. Suppose -132*q + 137*q + 2*h - 14 = 0, 0 = 3*q + h - 9. Suppose w + o = q*w. Solve -2*c - 2 = 0, 3*r + 2*c + w = c for r.
0
Let m(t) = -t**2 - 9*t - 12. Let n be m(-6). Suppose -3*f = -2*b + 14, n*b - 30 = b + 5*f. Solve -14 = v - b*z, -v = -5*v + 2*z for v.
2
Suppose 3*f - 45*x = -50*x - 58, -12 = f - 2*x. Let r be (-5 + (-72)/f)*-4. Solve 5*q - 26 + 1 = 5*o, -5*o - r*q = 11 for o.
-3
Let g(d) = -d**2 + 21*d - 30. Let c be g(18). Suppose -14 + c = 5*p. Let m(j) = 2*j**2 - j - 1. Let f be m(p). Solve 0 = 4*y + f*h + 2 + 4, 3*h - 10 = y for y.
-4
Let s be (-2)/((-5)/10 - 0). Suppose -s*v - 3*v = -14. Suppose -v*j = 4*j. Solve u - i = 3, u + j*u - 3 = -5*i for u.
3
Let b = -14 + 15. Let d = b - -4. Let o = -3192 - -3195. Solve 5 = -d*v, -3*v + 2 = -o*k + v for k.
-2
Let c(v) = v**2 - 121*v + 1953. Let m be c(19). Solve 4*j = -2*h - 14, -2*h - 5*j = m - 0 for h.
-5
Let k = -256 + 259. Let b = -67 - -72. Solve -2 - 39 = 4*j + b*o, 27 = -k*j - 3*o for j.
-4
Let k = -4285 - -4288. Solve -k*u = -2*i + 7*i - 5, 5*u + i + 21 = 0 for u.
-5
Let v be 7 + ((-64)/4)/4. Let b be 54/((-3)/9*v) - 4. Let d = b - -58. Solve -n - o + 5 + 0 = 0, 5*n - 2*o + 10 = d for n.
0
Suppose 0 = -4*m - 2*q + 16 - 38, m + 3*q = -18. Suppose 2*g - 4*h - 22 = -26, 5*g = 5*h. Let o be 0/g - (0 + 1*m). Solve o*f + f = j + 7, 2*f = 2 for j.
-3
Let a = 9349 + -9339. Solve a = 2*n, 3*q - 22 = -0*q - 2*n for q.
4
Let m(b) = 46*b + 9. Let z be m(5). Let h = z + -167. Let v be (-4)/(h/(-78)) - (-2)/3. Solve -4*c + t = 12 - 2, 5*t = v*c + 20 for c.
-2
Suppose 0 = -3*u + 4*n + 33, -u - 2*n = -n - 4. Suppose u = 4*h - 2*h - 3*m, -4*h + m + 19 = 0. Solve -4*z = -h*a - 31, -4*a + 5*z - 8 = -8*a for a.
-3
Let v(l) = -9*l + 26. Let o be v(3). Let t be o*(-1 + -6 + 4). Solve -t*u + 1 = 16, 2*u = -y - 14 for y.
-4
Let n = -7235 - -7237. Solve -5*o - 2*w + 25 = 0, 3*o - w = -n*w + 14 for o.
3
Suppose 1365 = 5*o + a, 2*o - 413 = 3*a + 150. Suppose -28*v + o = -174. Solve v = 4*f + 5*c, 2*f + 3*c - 4 - 6 = 0 for f.
-1
Let c = -711 + 715. Solve 3*k - 8*v = -6*v - c, 5*v = 5*k + 5 for k.
-2
Suppose -17 = j - 6. Let x be (j - -8)/((-3)/8). Suppose 9*m = x*m. Solve -3*k + 2*w + 3 = -2*k, m = 3*k + 3*w + 27 for k.
-5
Let g = -283 + 291. Suppose 0 = -h - 4 + g. Solve 0 = o + h*u, -3*o + 15 = 2*u - 5*u for o.
4
Suppose 10*r - 6307 = -6277. Solve -2*n - 6 = r*c, 4*n - 15*c + 18*c = 0 for n.
3
Let c = 163 - 83. Suppose c*n - 8 = 76*n. Solve 4*o - 4*q = -12, -n = o + o + 2*q for o.
-2
Let d = -130 - -140. Suppose 2*k - 14 = -2*l - 0*l, 0 = -5*l + 4*k - d. Solve 6*m - m + 7 = -l*x, 3 = 2*m - 5*x for m.
-1
Let q be (-18)/(-4)*((-352)/(-33))/(-8). Let s be (0 - -64)/8 + q. Solve 0 = s*x + r + 1, 4*r + 22 = 3*x - 4 for x.
2
Let d = 342 - 321. Let a be (6/d - 132/(-77)) + 10. Solve 2*c + 6 = -2*w - c, 4*w + a = 5*c for w.
-3
Let p be (4 + -5 - 2)/(0 + -1). Let y be (1/p)/((-2 + 0)/(-150)). Solve 4*l - y = 5*m, 0*m = -5*m + l - 25 for m.
-5
Let b(r) = -133*r - 1460. Let q be b(-11). Solve -5*j - 22 = -h, q*j + 3 = -3*h - 3 for h.
2
Let i = -92 - -94. Let f be (-1)/(4/(-18) + 5/(-180)). Solve 5*b = -0*b + i*l + 12, 0 = -l + f for b.
4
Suppose -50 = -59*d + 34*d. Solve -d*a - l + 2 = 0, 0 = -5*a + 2*l - 5*l + 7 for a.
-1
Let s be ((-15)/20)/(12/(-64)). Suppose k - s = -w, -3*k = 4*w - 7 - 7. Solve -3*z = -3, -4*z + 5 = w*c + 1 for c.
0
Let m = 45 - -56. Let c = m - 96. Solve -2*t = t - c*k - 10, -5*k = -t + 20 for t.
-5
Suppose -13788*n = -13789*n + 3. Solve 0 = 4*y - 4, -y = 4*r - 0 + n for r.
-1
Suppose -6*w + w + 24 = -4*z, 3*z + 7 = w. Suppose 4*n - 6*n + w*s - 4 = 0, 3*n - 4 = s. Solve -3*r - 10 = 7*g - 2*g, 0 = -n*g - 10 for r.
5
Suppose -16*n = -37*n + 19*n + 20. Solve -3*q = 4*f + 11, 3*q - n*f + 8*f = 19 for q.
3
Let i(a) = 4*a**2 + 94*a + 50. Let y be i(-23). Solve -11*d = -7*d - y*f + 8, 0 = -4*f + 8 for d.
0
Suppose 24*g - 59 = 9 + 28. Solve 2*p - 3*v - g = 0, 0 = -2*p + 5*v + 16 - 4 for p.
-4
Let j(r) = 7*r + 44. Let l be (-9 + 3)/(-1 - -2). Let t be j(l). Solve 2*c + 5*g - 16 = 3*c, 3*c = -t*g + 3 for c.
-1
Suppose -14 = 10*p - 9*p - 8*h, -5*p + 2*h = -6. Solve -x + 4*m = 7*m - 20, p*x = m + 5 for x.
5
Let l = -11544 - -11556. Solve -l*q + 14*q - 10 = 2*w, 0 = 3*w - 3 for q.
6
Let k(m) = 19*m - 63. Let n be k(-11). Let s = n + 286. Solve 3*z - s = 2*h, 5*z - 33 + 7 = 4*h for z.
2
Suppose -19*k = -58*k - 11 + 206. Solve -6*g = -5*d - 5*g + 23, 0 = -k*d - g + 17 for d.
4
Let x be 14 + 4 + -9 + 4. Suppose 78 = x*n - 0. Solve 4*d + 2*r + 19 = -r, -2*d + 2*r - n = 0 for d.
-4
Suppose -19*t + 90 = -25*t. Let b be (-55)/(-11)*((-24)/t - 1). Solve -8 = -m - 2*q - 2, 0 = 2*m - b*q - 5 for m.
4
Suppose -567*s + 60 = -557*s. Solve 5*b - 24 - s = -5*q, -b = 3*q - 16 for q.
5
Let y(g) = -35*g - 873. Let i be y(-25). Solve -w = -i*h + 7*h + 5, 2*w - 4 = 4*h for h.
-1
Suppose 43 = 3*s + 2*f, -4*f - 46 = -5*s + 11. Suppose -2*k + s = -o, 7*k - 3*k + o = 17. Solve -a + 3*a = 4*h - 18, -4*a - 27 = -k*h for a.
-3
Let m be (-22)/33*216/(-48). Solve m*p = -2*v, -43*p = -39*p - v for p.
0
Let q be (-216)/28 + 7 - 6832/(-98). Solve -3*m + q - 61 = -2*u, 0 = 4*u + 5*m - 28 for u.
2
Let q = 5 - -22. Let g = -20 + q. Suppose -g*l = 2 - 37. Solve 0 = l*d - 3*v + 17, 3*v = 6*v - 12 for d.
-1
Let w(h) = 4*h**2 - 5. Let v be w(-2). Let p(m) = -2*m - 4. Let b be p(-2). Suppose -6*u + v*u = b. Solve u*n = -3*n - 3*g, n = -3*g + 2 for n.
-1
Let x = -9968 - -9988. Solve -5*n = -s - 9 + x, -4*n + 2*s - 4 = 0 for n.
-3
Let h(m) = 264 - 32 - 4*m - 2*m - 2*m. Let i be h(29). Solve 0 = -5*y, 4*y + i - 20 = -5*z for z.
4
Let d(g) = 14*g**2 - 2*g + 5. Let o be d(0). Solve -3*y + 4 + 0 = 4*b, -o*y + 3 = 3*b for b.
1
Let a = 9995 + -9988. Solve -3*i + 12 = 4*g - a*g, 0 = -g + 5*i - 20 for g.
0
Let o = 29 - 19. Suppose -r + 26 = o. Suppose -16 = r*z - 20*z. Solve 2*i - 4 = f, -5*f + z + 12 = -i for f.
4
Let a be (-22)/55 + (17/5 - 1). Suppose 3*g = a*t + 21, -2*g - 5*t - 25 = -20. Solve -2*d + g*x - 21 = -0, 5*x - 27 = 4*d for d.
-3
Let m be (-7 - -17)*(-5 + 3)/(-10). Solve 4*f - m*p - 38 = 0, -5*f = -62*p + 57*p - 60 for f.
7
Let n(u) be the third derivative of u**5/60 - 5*u**4/12 + u**3/3 + 83*u**2. Let i be n(10). Solve -18 = 5*c - 5*t + 7, -i*t = -5*c - 16 for c.
-2
Let u(f) = -f**3 + 20*f**2 - 20*f + 21. Let w be u(19). Solve r = -s + 4, 65*s - 60*s - w*r = -8 for s.
0
Suppose 54*q - 5*i = 57*q + 3, 2*q - 2*i = 14. Let f = 5 - 3. Solve 0 = q*x + f*m + 3*m - 25, -4*x = 3*m - 23 for x.
5
Suppose -18 + 10 = -2*p. Suppose -8 - 24 = -5*w + b, p*w - b - 26 = 0. Solve -4*g - 2*l + w*l = -20, -3*l - 9 = 0 for g.
2
Suppose 0 = 134*k - 156*k + 374. Solve -5*a + 9*a + u - k = 0, 1 = a - 3*u for a.
4
Let i be -3 + (92/12 - 2/3). Suppose 127 = -4*g + h - 113, 4*g + 240 = i*h. Let b = g + 69. Solve b = -2*z - 3*u, 5*z + 3*u + 3 = -6 for z.
0
Let g(f) = -5 - 3 + 8 + 14*f + 4*f**2. Let y be g(-4). Solve 4*u + u - 7 = v, 4*v - 2*u = y for v.
3
Suppose 168 = 12*d - 12. Let z be 56/20 + -3 + 93/d. Solve 2*b + 4 = 0, 5 - z = -s - b for s.
3
Let j(q) = 11*q + 24. Let o be j(23). Let l = -275 + o. Solve -l = a - 5*z + 11, -2*z = -3*a for a.
2
Let s be 38/14 - (-6)/21. Suppose 0 = 3*r + 68*r. Solve -m - s*f - 1 = 0, 3*m - f + 14 - 1 = r for m.
-4
Suppose 2*s - y - y = 40, -2*s = -3*y - 44. Let u(v) = -v**3 + 17*v**2 - 12*v - 44. Let i be u(s). Solve 0 = 4*z + d + 2 - 5, 0 = 5*z - 2*d - i for z.
2
Let g be ((-4)/(-10))/((-1)/(-10)). Solve 4*i - 2*s + 22 = 0, -3*i + 3*s - 5 = -g*i for i.
-4
Let p = -3145 + 3156. Solve 3*x = 9*b
|
{
"pile_set_name": "DM Mathematics"
}
|
usands digit of 116693?
1
What is the thousands digit of 9452016?
2
What is the units digit of 271561?
1
What is the ten thousands digit of 169816?
6
What is the millions digit of 2102751?
2
What is the ten thousands digit of 5902431?
0
What is the thousands digit of 272389?
2
What is the units digit of 448224?
4
What is the ten millions digit of 23151720?
2
What is the tens digit of 13316186?
8
What is the ten thousands digit of 155049?
5
What is the hundreds digit of 7400234?
2
What is the units digit of 3292244?
4
What is the hundreds digit of 26194587?
5
What is the ten thousands digit of 84725?
8
What is the hundred thousands digit of 36947004?
9
What is the units digit of 5426451?
1
What is the hundred thousands digit of 1897833?
8
What is the units digit of 4943270?
0
What is the hundreds digit of 553402?
4
What is the ten thousands digit of 774984?
7
What is the millions digit of 1272189?
1
What is the ten thousands digit of 54715?
5
What is the hundred thousands digit of 425804?
4
What is the hundred thousands digit of 34835587?
8
What is the hundred thousands digit of 1892037?
8
What is the tens digit of 150516?
1
What is the hundreds digit of 2668565?
5
What is the millions digit of 4163275?
4
What is the tens digit of 3759382?
8
What is the tens digit of 183224?
2
What is the units digit of 22891100?
0
What is the millions digit of 1978472?
1
What is the ten thousands digit of 129361?
2
What is the hundred thousands digit of 1155894?
1
What is the hundred thousands digit of 9438619?
4
What is the thousands digit of 7346921?
6
What is the hundred thousands digit of 12706583?
7
What is the units digit of 21924?
4
What is the ten thousands digit of 281412?
8
What is the hundred thousands digit of 7040312?
0
What is the hundreds digit of 31987622?
6
What is the units digit of 335737?
7
What is the ten thousands digit of 545723?
4
What is the tens digit of 758324?
2
What is the hundred thousands digit of 3614836?
6
What is the ten thousands digit of 448366?
4
What is the millions digit of 1059527?
1
What is the hundreds digit of 4586988?
9
What is the millions digit of 2035104?
2
What is the tens digit of 25486468?
6
What is the thousands digit of 397946?
7
What is the hundreds digit of 525397?
3
What is the hundred thousands digit of 13596066?
5
What is the hundred thousands digit of 3477059?
4
What is the units digit of 1956663?
3
What is the ten thousands digit of 12369469?
6
What is the thousands digit of 421998?
1
What is the units digit of 672149?
9
What is the units digit of 1801838?
8
What is the tens digit of 58759?
5
What is the units digit of 7847351?
1
What is the thousands digit of 17446554?
6
What is the tens digit of 957035?
3
What is the tens digit of 75203?
0
What is the ten thousands digit of 240209?
4
What is the hundreds digit of 181673?
6
What is the units digit of 2193732?
2
What is the hundreds digit of 162790?
7
What is the tens digit of 11305?
0
What is the hundreds digit of 349117?
1
What is the ten thousands digit of 6026243?
2
What is the hundred thousands digit of 789429?
7
What is the units digit of 1026319?
9
What is the tens digit of 456932?
3
What is the units digit of 1217335?
5
What is the hundred thousands digit of 1695820?
6
What is the ten thousands digit of 10235336?
3
What is the thousands digit of 76828?
6
What is the millions digit of 11268464?
1
What is the thousands digit of 543271?
3
What is the hundreds digit of 331488?
4
What is the ten thousands digit of 48297?
4
What is the units digit of 36738?
8
What is the thousands digit of 2393248?
3
What is the hundreds digit of 5267318?
3
What is the hundred thousands digit of 742002?
7
What is the millions digit of 6051513?
6
What is the hundreds digit of 1887711?
7
What is the units digit of 167784?
4
What is the hundreds digit of 1447328?
3
What is the ten thousands digit of 404862?
0
What is the units digit of 2289216?
6
What is the tens digit of 5090792?
9
What is the thousands digit of 174329?
4
What is the units digit of 84709?
9
What is the millions digit of 2156704?
2
What is the millions digit of 3419907?
3
What is the hundreds digit of 5052855?
8
What is the ten millions digit of 27371673?
2
What is the tens digit of 209970?
7
What is the thousands digit of 57106?
7
What is the tens digit of 458161?
6
What is the thousands digit of 5130694?
0
What is the hundred thousands digit of 4405395?
4
What is the ten thousands digit of 7387266?
8
What is the hundred thousands digit of 2118381?
1
What is the thousands digit of 5804507?
4
What is the hundreds digit of 6153145?
1
What is the tens digit of 5258584?
8
What is the units digit of 9969?
9
What is the millions digit of 3057977?
3
What is the ten thousands digit of 344792?
4
What is the tens digit of 555893?
9
What is the units digit of 1387827?
7
What is the tens digit of 587708?
0
What is the hundred thousands digit of 2013208?
0
What is the hundreds digit of 14874?
8
What is the ten thousands digit of 627381?
2
What is the thousands digit of 697966?
7
What is the hundreds digit of 5042714?
7
What is the ten thousands digit of 136879?
3
What is the hundred thousands digit of 8245375?
2
What is the units digit of 150685?
5
What is the units digit of 68371?
1
What is the hundred thousands digit of 2025831?
0
What is the thousands digit of 1169181?
9
What is the units digit of 48614?
4
What is the hundred thousands digit of 261116?
2
What is the hundreds digit of 5567651?
6
What is the millions digit of 1368052?
1
What is the thousands digit of 1037896?
7
What is the units digit of 3676098?
8
What is the thousands digit of 3627460?
7
What is the hundreds digit of 5273?
2
What is the hundreds digit of 1724396?
3
What is the hundred thousands digit of 217161?
2
What is the tens digit of 2630426?
2
What is the hundred thousands digit of 1758219?
7
What is the hundred thousands digit of 151968?
1
What is the millions digit of 4236155?
4
What is the ten thousands digit of 1634634?
3
What is the units digit of 871775?
5
What is the ten thousands digit of 13760865?
6
What is the hundreds digit of 112308?
3
What is the thousands digit of 349983?
9
What is the hundreds digit of 74197?
1
What is the thousands digit of 237171?
7
What is the hundred thousands digit of 16630518?
6
What is the units digit of 120852?
2
What is the hundred thousands digit of 30042374?
0
What is the millions digit of 4039218?
4
What is the thousands digit of 79883?
9
What is the tens digit of 260329?
2
What is the tens digit of 36882089?
8
What is the units digit of 296786?
6
What is the thousands digit of 6630847?
0
What is the thousands digit of 6506821?
6
What is the millions digit of 3528582?
3
What is the hundred thousands digit of 146969?
1
What is the thousands digit of 29283563?
3
What is the thousands digit of 104106?
4
What is the thousands digit of 1895822?
5
What is the hundreds digit of 123286?
2
What is the units digit of 630333?
3
What is the tens digit of 1108315?
1
What is the thousands digit of 4169188?
9
What is the ten thousands digit of 12111872?
1
What is the millions digit of 16738573?
6
What is the hundred thousands digit of 2775736?
7
What is the units digit of 975606?
6
What is the units digit of 1336160?
0
What is the hundred thousands digit of 2943095?
9
What is the units digit of 10872235?
5
What is the thousands digit of 12019038?
9
What is the thousands digit of 1129380?
9
What is the hundreds digit of 8654319?
3
What is the units digit of 2034506?
6
What is the ten thousands digit of 90333?
9
What is the ten thousands digit of 12685873?
8
What is the units digit of 377632?
2
What is the ten thousands digit of 6147630?
4
What is the thousands digit of 88488?
8
What is the thousands digit of 629900?
9
What is the units digit of 1968750?
0
What is the hundred thousands digit of 190369?
1
What is the hundred thousands digit of 1422402?
4
What is the ten thousands digit of 725731?
2
What is the millions digit of 7442449?
7
What is the ten millions digit of 31902694?
3
What is the thousands digit of 14427870?
7
What is the thousands digit of 12733565?
3
What is the tens digit of 381638?
3
What is the tens digit of 199466?
6
What is the hundreds digit of 93977?
9
What is the tens digit of 215870
|
{
"pile_set_name": "DM Mathematics"
}
|
1 - 1637602*m/11 = 0. Calculate m.
0, 818801
Let -2*f**4 + 4454*f**3 + 53792*f**2 - 125384*f = 0. Calculate f.
-14, 0, 2, 2239
Factor l**2 - 1080*l + 38591.
(l - 1043)*(l - 37)
Find x, given that -x**5/2 + 1595*x**4/2 - 197589*x**3/2 + 8589121*x**2/2 - 66399439*x + 116398248 = 0.
2, 43, 1464
Solve 2*x**5/5 - 7596*x**4/5 + 9608872*x**3/5 - 4038694268*x**2/5 - 2494619106*x + 113898465128/5 = 0.
-7, 4, 1267
Factor -t**3/8 + 14300*t**2.
-t**2*(t - 114400)/8
Solve -3*n**2 + 239202*n = 0 for n.
0, 79734
Suppose 4*x**5/7 + 1236*x**4/7 - 2184*x**3 + 38408*x**2/7 - 35916*x/7 + 11556/7 = 0. What is x?
-321, 1, 9
Factor -2*h**2/13 - 112460*h/13 - 112458/13.
-2*(h + 1)*(h + 56229)/13
Determine p, given that -2*p**2/11 - 20150*p/11 + 1832 = 0.
-10076, 1
Let 7*c**4/4 - 115*c**3/2 + 1101*c**2/4 + 81*c/2 = 0. What is c?
-1/7, 0, 6, 27
Factor -4*q**3 - 2121*q**2 + 1594*q + 531.
-(q - 1)*(q + 531)*(4*q + 1)
Factor 3*h**2/7 - 1208*h/7 - 452176/7.
(h + 236)*(3*h - 1916)/7
Factor -o**3/3 - 29*o**2 - 1886*o/3.
-o*(o + 41)*(o + 46)/3
Factor 125*f**3/2 - 634825*f**2 + 1523445*f/2 - 228510.
5*(f - 10156)*(5*f - 3)**2/2
Solve -3*g**2 - 2307*g + 4626 = 0 for g.
-771, 2
Determine s so that 19*s**2 - 1281*s - 2070 = 0.
-30/19, 69
Suppose 4*k**4 - 1396*k**3 - 119884*k**2 - 572636*k - 676968 = 0. Calculate k.
-67, -3, -2, 421
Factor -4*y**4 - 20144*y**3 - 25601872*y**2 - 605770368*y - 3617300736.
-4*(y + 12)**2*(y + 2506)**2
Let 7*z**3 + 2032*z**2 + 14447*z + 3962 = 0. What is z?
-283, -7, -2/7
Suppose -5*z**2 + 928730*z - 43126970645 = 0. What is z?
92873
Let -p**3/8 - 5691*p**2/8 - 11379*p/8 - 5689/8 = 0. What is p?
-5689, -1
Determine p so that 4*p**4/7 - 2264*p**3/7 - 29888*p**2/7 - 127080*p/7 - 173700/7 = 0.
-5, -3, 579
Factor -4*l**2/5 + 2268*l/5 - 80408/5.
-4*(l - 529)*(l - 38)/5
Find m, given that 148*m**2/3 + 58156*m/3 - 1048 = 0.
-393, 2/37
Factor -20*p**2/11 - 218*p/11 - 18.
-2*(p + 1)*(10*p + 99)/11
Solve -d**3 + 57*d**2 + 4*d - 228 = 0.
-2, 2, 57
Factor -h**3 - 46*h**2 + 95*h - 48.
-(h - 1)**2*(h + 48)
Solve -14*z**5 + 620*z**4 + 3912*z**3 + 4432*z**2 - 1600*z = 0 for z.
-4, -2, 0, 2/7, 50
Suppose 4*f**5 - 652*f**4 - 3388*f**3 + 4684*f**2 + 3384*f - 4032 = 0. What is f?
-6, -1, 1, 168
Factor j**3/6 + 152*j**2/3 + 23015*j/6 + 11356/3.
(j + 1)*(j + 136)*(j + 167)/6
Suppose -10*o**4 - 96*o**3 + 570*o**2 - 632*o + 168 = 0. Calculate o.
-14, 2/5, 1, 3
Let -n**3/2 - 27*n**2 - 249*n/2 - 98 = 0. Calculate n.
-49, -4, -1
What is y in -3*y**3/8 + 32883*y**2/8 - 90091197*y/8 - 90124083/8 = 0?
-1, 5481
Factor y**2 + 345*y + 6500.
(y + 20)*(y + 325)
Let 2*g**4/3 - 102*g**3 - 416*g**2 - 1256*g/3 = 0. What is g?
-2, 0, 157
Factor -2*z**2 + 2180*z + 10950.
-2*(z - 1095)*(z + 5)
Determine j so that 2*j**4 - 14*j**3 - 1374*j**2 + 19550*j - 33524 = 0.
-29, 2, 17
Find x, given that -2*x**2/11 + 101540*x/11 - 1288796450/11 = 0.
25385
Factor v**4/2 - 55*v**3/2 - 2250*v**2.
v**2*(v - 100)*(v + 45)/2
Determine b, given that -2*b**4 - 5746*b**3 + 2*b**2 + 5746*b = 0.
-2873, -1, 0, 1
Factor j**4/2 + 4613*j**3 + 21178041*j**2/2 - 234635632*j + 1293573248.
(j - 11)**2*(j + 4624)**2/2
Factor 55*w**2 - 14365*w + 42600.
5*(w - 3)*(11*w - 2840)
Factor 2*i**2/3 - 2068*i/3 - 60210.
2*(i - 1115)*(i + 81)/3
Factor -3*v**2 + 29859*v + 29862.
-3*(v - 9954)*(v + 1)
Factor -o**3/4 + 58287*o**2 - 1398861*o/4 + 1049139/2.
-(o - 233142)*(o - 3)**2/4
Solve 5*o**3 + 1460*o**2 + 11315*o - 12780 = 0.
-284, -9, 1
Suppose -20*b**4 - 68*b**3 + 656*b**2 - 688*b - 384 = 0. What is b?
-8, -2/5, 2, 3
Factor -5*r**3 - 1400*r**2 + 7105*r - 5700.
-5*(r - 4)*(r - 1)*(r + 285)
Suppose -8*b**5/3 + 29*b**4/3 - 23*b**3/3 - 19*b**2/3 + 31*b/3 - 10/3 = 0. Calculate b.
-1, 5/8, 1, 2
Factor -a**2/2 + 137108*a + 274217/2.
-(a - 274217)*(a + 1)/2
Factor -4*f**4 - 204*f**3 + 8224*f**2 - 15600*f.
-4*f*(f - 25)*(f - 2)*(f + 78)
Determine u so that 128*u**5 + 3424*u**4 + 8504*u**3 + 1050*u**2 - 7056*u = 0.
-24, -7/4, 0, 3/4
Factor 2*v**5/9 + 158*v**4/3 - 1928*v**3/9.
2*v**3*(v - 4)*(v + 241)/9
Let -4*o**3/11 + 8942*o**2/11 + 22386*o/11 - 13428/11 = 0. What is o?
-3, 1/2, 2238
Let -3*a**5 - 2991*a**4 - 225114*a**3 - 4625538*a**2 - 8587683*a - 4184271 = 0. What is a?
-917, -39, -1
Solve 3*x**2/4 + 33927*x/4 + 709821/2 = 0 for x.
-11267, -42
Factor -162*z**3 - 9792*z**2 - 4328*z - 480.
-2*(z + 60)*(9*z + 2)**2
Suppose -2*p**2/3 - 46552*p/3 - 270886088/3 = 0. What is p?
-11638
What is w in -3*w**3 + 174*w**2 - 2097*w + 6966 = 0?
6, 9, 43
Suppose -3*l**3/2 - 36693*l**2 - 146763*l/2 - 36690 = 0. What is l?
-24460, -1
Suppose -3*p**2/4 - 6357*p - 12711 = 0. What is p?
-8474, -2
What is z in 4*z**4/7 + 432*z**3/7 + 1256*z**2/7 - 432*z/7 - 180 = 0?
-105, -3, -1, 1
Factor 5*b**3 + 385*b**2 - 7800*b - 774000.
5*(b - 43)*(b + 60)**2
Factor v**4/5 + 5*v**3 - 392*v**2/5 - 4224*v/5.
v*(v - 16)*(v + 8)*(v + 33)/5
Factor 3*l**2/2 - 368961*l + 45377406507/2.
3*(l - 122987)**2/2
Factor 6*n**2 + 19839*n + 128700.
3*(n + 3300)*(2*n + 13)
Factor -5*o**5 + 29985*o**4 - 60029700*o**3 + 40298321840*o**2 - 357844317120*o.
-5*o*(o - 1996)**3*(o - 9)
Find a such that 45*a**5 - 1257*a**4 - 120*a**3 + 996*a**2 + 336*a = 0.
-2/3, -2/5, 0, 1, 28
Factor c**3 - 197*c**2 - 1004*c - 1212.
(c - 202)*(c + 2)*(c + 3)
Suppose -t**5/7 + 2*t**4/7 + 195*t**3/7 + 640*t**2/7 - 2624*t/7 - 3072/7 = 0. What is t?
-8, -1, 3, 16
What is b in b**5 + 178*b**4 + 3654*b**3 - 369500*b**2 + 5479321*b - 20601654 = 0?
-109, 6, 17
Find s such that 4*s**3 - 134*s**2/21 - 190*s/21 = 0.
-19/21, 0, 5/2
Let y**5 + 1904*y**4 - 11459*y**3 + 1934*y**2 + 45856*y + 30560 = 0. Calculate y.
-1910, -1, 4
Find x, given that 2*x**4 + 58852*x**3 + 58848*x**2 - 58852*x - 58850 = 0.
-29425, -1, 1
Factor q**2/5 - 927086*q/5 + 214872112849/5.
(q - 463543)**2/5
Factor 3*y**3/7 - 4578*y**2 + 85610880*y/7 - 171093600/7.
3*(y - 5340)**2*(y - 2)/7
Suppose 8*f**5/15 + 14*f**4 - 10372*f**3/15 + 5862*f**2/5 - 4936*f/15 - 832/5 = 0. What is f?
-52, -1/4, 1, 24
Factor u**5/8 + 7*u**4/4.
u**4*(u + 14)/8
Suppose 14544*j**5 - 53616*j**4 + 40244*j**3 + 17000*j**2 + 1264*j - 32 = 0. What is j?
-1/6, 2/101, 2
Factor 5*x**3 + 55055*x**2 + 151580175*x + 151525125.
5*(x + 1)*(x + 5505)**2
Determine g so that -24*g**3 - 60741*g**2 - 38458530*g - 33604725 = 0.
-1265, -7/8
What is k in -2*k**4 - 16*k**3 + 132*k**2 + 656*k - 770 = 0?
-11, -5, 1, 7
Solve -2*u**5/9 - 5912*u**4/3 + 3942*u**3 - 17740*u**2/9 = 0.
-8870, 0, 1
Let -5*s**3 - 6075*s**2 - 6070*s = 0. What is s?
-1214, -1, 0
Factor 5*y**3 + 50*y**2 - 1105*y + 1050.
5*(y - 10)*(y - 1)*(y + 21)
Determine q, given that -5*q**2 - 1023185*q + 1023190 = 0.
-204638, 1
Factor 5*o**3 - 150*o**2 - 20*o + 600.
5*(o - 30)*(o - 2)*(o + 2)
Factor -2*c**3 + 410*c**2 - 20414*c - 20826.
-2*(c - 117)*(c - 89)*(c + 1)
Factor -z**4/4 + 3159*z**3/2 - 9985597*z**2/4 + 4988061*z - 2493241.
-(z - 3158)**2*(z - 1)**2/4
Factor -g**3/4 + 117*g**2/2 - 77*g/4 - 9087.
-(g - 233)*(g - 13)*(g + 12)/4
Suppose -2*g**2 - 1028*g - 2048 = 0. Calculate g.
-512, -2
Let 3*d**5 + 105*d**4 + 849*d**3 + 2607*d**2 + 3360*d + 1500 = 0. Calculate d.
-25, -5, -2, -1
Find d such that 867*d**4 - 964512*d**3 + 453744*d**2 - 53376*d = 0.
0, 4/17, 1112
Suppose -3*y**5/4 - 213*y**4/4 - 399*y**3/4 + 1053*y**2/4 + 621*y/2 = 0. What is y?
-69, -3, -1, 0, 2
Determine l, given that 22801*l**4 + 593430*l**3 + 3869077*l**2 + 102180*l + 676 = 0.
-13, -2/151
Solve -16*o**5/3 - 538*o**4 - 7259*o**3/3 + 7304*o**2 - 2325*o - 2016 = 0.
-96, -7, -3/8, 1, 3/2
Factor 3*p**2 + 1239*p + 2466.
3*(p + 2)*(p + 411)
Factor g**2 + 29063*g - 145340.
(g - 5)*(g + 29068)
Solve 32*s**5/9 - 5872*s**4 + 8774*s**3/3 + 155308*s**2/9 - 62750*s/3 + 6604 = 0 for s.
-2, 3/4, 1, 1651
Find f such that 3*f**3 - 1593*f**2 + 151404*f = 0.
0, 124, 407
Find b such that -25*b**4/4 - 51395*b**3/2 - 164381*b**2/4 + 19522*b - 2055 = 0.
-4110, -2, 1/5
Let 4*r**5 - 5740*r**4 - 86856*r**3 - 208800*r**2 = 0. What is r?
-12, -3, 0, 1450
What is s in -2*s**4 + 64*s**3 - 238*s**2 - 2104*s + 4680 = 0?
-5, 2, 9, 26
Let -4*w**4 - 4878*w**3 - 1466214*w**2 + 12839968*w + 6785928 = 0. What is w?
-614, -1/2, 9
Factor -2*g**2/3 - 830*g/3 - 824.
-2*(g + 3)*(g + 412)/3
Factor 231*s**3/4 - 6011*s**2/2 + 39169*s - 1690.
(s - 26)**2*(231*s - 10)/4
Factor r**3/6 + 55*r**2/6 + 233*r/3 + 12
|
{
"pile_set_name": "DM Mathematics"
}
|
cimal places.
0.6
What is 0.00002862764 rounded to six decimal places?
0.000029
Round 0.960042 to three decimal places.
0.96
What is -0.009111095 rounded to four dps?
-0.0091
What is -0.00011407305 rounded to 6 decimal places?
-0.000114
What is 1321110 rounded to the nearest one thousand?
1321000
What is -0.0000004591048 rounded to seven decimal places?
-0.0000005
Round -0.0065884 to 4 dps.
-0.0066
Round 51747800 to the nearest one million.
52000000
What is -8564.507 rounded to the nearest 10?
-8560
What is 26572.47 rounded to the nearest ten thousand?
30000
Round 0.1699639 to two dps.
0.17
Round 0.00008807338 to six dps.
0.000088
What is 0.2623875 rounded to 2 decimal places?
0.26
What is 0.000001404178 rounded to six dps?
0.000001
Round -63908.3 to the nearest one thousand.
-64000
Round 250.067 to the nearest integer.
250
What is -1.0183091 rounded to 3 decimal places?
-1.018
Round 2.9588 to one dp.
3
Round -11.26141 to one decimal place.
-11.3
Round 51757861 to the nearest 10000.
51760000
Round -0.0001285538 to seven decimal places.
-0.0001286
What is -0.743147 rounded to one decimal place?
-0.7
What is 0.000271321 rounded to 5 dps?
0.00027
Round 737590 to the nearest 100000.
700000
What is -85819.68 rounded to the nearest 10000?
-90000
Round -0.068825434 to 3 dps.
-0.069
What is -2885.7 rounded to the nearest one thousand?
-3000
What is 0.0002161003 rounded to seven decimal places?
0.0002161
Round 6146.54 to the nearest 10.
6150
Round -162264 to the nearest 10000.
-160000
What is -211202 rounded to the nearest ten thousand?
-210000
What is 859412900 rounded to the nearest one million?
859000000
Round -0.000141813 to six decimal places.
-0.000142
What is -77869.47 rounded to the nearest 10000?
-80000
Round -0.16009 to 2 dps.
-0.16
Round -200825.17 to the nearest 100.
-200800
Round -7114.97 to the nearest 10.
-7110
What is 0.0001691576 rounded to six decimal places?
0.000169
Round -0.00003439399 to six decimal places.
-0.000034
Round -1.135647 to two dps.
-1.14
Round 0.000011127275 to 7 decimal places.
0.0000111
Round 13844395 to the nearest 1000.
13844000
Round -0.08128967 to three decimal places.
-0.081
What is 165217700 rounded to the nearest one hundred thousand?
165200000
What is 528207000 rounded to the nearest 1000000?
528000000
What is -0.0012423252 rounded to six dps?
-0.001242
Round 21813500 to the nearest 1000000.
22000000
Round 0.21181605 to four dps.
0.2118
Round 17.57139 to the nearest integer.
18
What is 323.9044 rounded to 1 decimal place?
323.9
Round -0.07812705 to five decimal places.
-0.07813
What is -320.56229 rounded to the nearest 10?
-320
What is 70633477 rounded to the nearest one hundred thousand?
70600000
What is -0.00004703523 rounded to 6 decimal places?
-0.000047
What is -43.74825 rounded to the nearest integer?
-44
What is 90001.83 rounded to the nearest 100?
90000
Round -0.00249077 to four dps.
-0.0025
Round 7061049 to the nearest ten thousand.
7060000
Round -281.7375 to the nearest integer.
-282
Round 0.0000021838 to 6 dps.
0.000002
Round -0.5863822 to 4 dps.
-0.5864
What is 1910479.5 rounded to the nearest 10000?
1910000
Round 127569300 to the nearest one million.
128000000
Round -0.004881631 to five decimal places.
-0.00488
What is -0.001053068 rounded to four decimal places?
-0.0011
Round 1.8488773 to two decimal places.
1.85
Round 498450.3 to the nearest one thousand.
498000
What is 269115.9 rounded to the nearest one hundred thousand?
300000
Round 3579011500 to the nearest 1000000.
3579000000
Round -7.318615 to the nearest integer.
-7
What is -3.6104616 rounded to three decimal places?
-3.61
Round 18.9709 to one decimal place.
19
What is -0.1688879 rounded to four dps?
-0.1689
Round -0.00033609437 to 5 dps.
-0.00034
Round -0.0000035273294 to seven dps.
-0.0000035
What is -0.024406 rounded to 2 dps?
-0.02
Round -6.1557 to the nearest integer.
-6
Round -13.709037 to 1 dp.
-13.7
What is -0.00285606 rounded to three decimal places?
-0.003
Round 45.253 to the nearest ten.
50
What is -2.8946967 rounded to zero dps?
-3
Round -2758722 to the nearest one hundred thousand.
-2800000
What is -0.0000813898 rounded to five dps?
-0.00008
What is -33195.04 rounded to the nearest 10000?
-30000
Round -0.01956302 to two dps.
-0.02
Round -38.214 to 1 dp.
-38.2
Round -0.6671043 to 3 decimal places.
-0.667
Round -60.29544 to the nearest 10.
-60
What is -0.00635135 rounded to 4 dps?
-0.0064
What is -290482.4 rounded to the nearest 1000?
-290000
What is 6.108314 rounded to the nearest integer?
6
Round -234175.63 to the nearest one thousand.
-234000
Round 0.00112103 to 5 dps.
0.00112
What is 282430.6 rounded to the nearest one hundred?
282400
What is 641458.6 rounded to the nearest one hundred?
641500
What is 0.02113698 rounded to 4 dps?
0.0211
Round -5871.475 to zero dps.
-5871
What is -0.00000497829 rounded to six dps?
-0.000005
What is 0.0000458326 rounded to 6 decimal places?
0.000046
Round -0.0001041886 to five dps.
-0.0001
What is -61.0469 rounded to one decimal place?
-61
Round 2.7001 to two decimal places.
2.7
Round 27104250 to the nearest one hundred thousand.
27100000
Round 0.0001118853 to 5 decimal places.
0.00011
What is 32835.39 rounded to the nearest one thousand?
33000
Round 21.2467 to the nearest 10.
20
What is 63100.836 rounded to the nearest ten thousand?
60000
What is 1480.4681 rounded to the nearest ten?
1480
What is -597600 rounded to the nearest one hundred thousand?
-600000
What is -9994.59 rounded to the nearest 100?
-10000
What is 71.004 rounded to the nearest 10?
70
Round -0.00050674 to 5 dps.
-0.00051
Round -30577 to the nearest 1000.
-31000
What is -106697.46 rounded to the nearest ten thousand?
-110000
What is -4874248 rounded to the nearest 10000?
-4870000
What is 4489712 rounded to the nearest 10000?
4490000
Round 1420.326 to the nearest ten.
1420
Round -0.0000907069 to six decimal places.
-0.000091
Round 254.5642 to the nearest ten.
250
Round 0.0099677 to three decimal places.
0.01
Round 6192476 to the nearest 100000.
6200000
What is 1223102.8 rounded to the nearest one thousand?
1223000
What is 893996600 rounded to the nearest one million?
894000000
Round -0.560996 to two dps.
-0.56
Round 0.0001809514 to five dps.
0.00018
Round -50413.2 to the nearest 100.
-50400
Round 249.5718 to the nearest ten.
250
Round 0.1283317 to two dps.
0.13
Round 0.00648276 to 3 decimal places.
0.006
What is -0.0194377 rounded to two dps?
-0.02
What is -20.368 rounded to the nearest one hundred?
0
What is 0.054893 rounded to 3 dps?
0.055
Round 24918.3 to the nearest one hundred.
24900
Round -0.000000805826 to 7 decimal places.
-0.0000008
What is 0.0000347144 rounded to seven decimal places?
0.0000347
Round -9423.464 to the nearest 1000.
-9000
Round 3710.655 to the nearest ten.
3710
What is 0.00010994349 rounded to five dps?
0.00011
Round -0.0000210755 to six decimal places.
-0.000021
What is -0.83982354 rounded to one dp?
-0.8
What is -432.9448 rounded to zero decimal places?
-433
What is 5475456.4 rounded to the nearest one hundred thousand?
5500000
Round -0.015862802 to 4 decimal places.
-0.0159
Round 0.0000282641 to 6 decimal places.
0.000028
Round 0.05562864 to four decimal places.
0.0556
What is 0.00003504037 rounded to 6 decimal places?
0.000035
What is -0.6285954 rounded to three decimal places?
-0.629
What is 0.00001495451 rounded to 7 decimal places?
0.000015
What is -8.7533 rounded to the nearest 10?
-10
Round 1921.8101 to the nearest 100.
1900
Round 0.01462756 to three dps.
0.015
Round 0.000012852637 to seven decimal places.
0.0000129
What is -1958260 rounded to the nearest one million?
-2000000
What is -1226.314 rounded to the nearest 100?
-1200
What is 6.26303 rounded to two decimal places?
6.26
What is 3.83733 rounded to two decimal places?
3.84
Round -1.2197 to zero decimal places.
-1
What is -0.0005898432 rounded to 5 decimal places?
-0.00059
What is 0.00116213 rounded to 5 dps?
0.00116
Round 0.0053709472 to 4 decimal places.
0.0054
Round -4.3029 to 0 dps.
-4
Round -3692.16 to the nearest 10.
-3690
What is -479.9651 rounded to the nearest ten?
-480
Round -1703460 to the nearest 10000.
-1700000
Round 103.552 to 0 dps.
104
What is -0.0291349 rounded to four dps?
-0.0291
Round 0.008467809 to 5 dps.
0.00
|
{
"pile_set_name": "DM Mathematics"
}
|
nd h.
11
Suppose 5*p + a - 550 = 0, -2*p - 2*a - 2*a + 220 = 0. Calculate the greatest common divisor of 33 and p.
11
Suppose -2*s + r = -11, 0 = -s + 3*r + 4 + 4. Suppose 3*y = 29 + 31. What is the highest common divisor of s and y?
5
Suppose 13 = x + 2*x - k, -5*x + k + 19 = 0. Suppose 0 = -5*w + 57 + x. What is the highest common factor of 84 and w?
12
Suppose -4*j + 3 = -17. What is the highest common divisor of 20 and j?
5
Suppose -96 = -4*a + 2*w, 5*a + 4*w - 90 = -w. What is the greatest common divisor of a and 154?
22
Let a(x) = 3*x - 3. Let f be a(2). Let y be ((-66)/f)/((-6)/39). What is the greatest common divisor of y and 13?
13
Let z = -92 + 235. Let k be (2/3)/((-10)/(-195)). What is the greatest common factor of z and k?
13
Let x = -30 - -36. Calculate the greatest common divisor of 6 and x.
6
Let w(q) = 3*q**2 - 9*q + 2. Let f be w(4). Calculate the highest common divisor of 112 and f.
14
Suppose -3*u + 550 = 46. What is the greatest common factor of 21 and u?
21
Suppose 0 = 2*d - 4*y - 26, 5*d + 3*y - 6*y - 30 = 0. Let s(q) be the first derivative of q**2 + 1. Let n be s(d). What is the highest common factor of n and 2?
2
Let p be (22/(-3))/(2/(-6)). Let u(j) = -j**3 + 6*j**2 - 8*j + 7. Let w be u(5). Let c be (0 + -6)/(w/44). What is the highest common factor of p and c?
11
Let x be (2/6)/(2/12). Let v(j) = -4*j - 1. Let k be v(-4). Suppose x*w = 3*w - k. What is the highest common factor of w and 6?
3
Let x(u) = -u**3 + 2*u**2 + 3*u + 3. Let z be x(3). Suppose -d + 55 = -2*n, n = -2*d + z*n + 118. What is the highest common divisor of 42 and d?
21
Let d be (12/(-9))/((-2)/57). Let h(a) = -2*a + 8. Let t be h(7). Let n be (-3)/9 - 344/t. What is the greatest common divisor of n and d?
19
Suppose 3 = 5*k - 4*u, 0*u + u = 3. Suppose -k*a + i + 71 = 0, 27 = -3*a + 4*a + 3*i. Let c = -18 - -42. What is the highest common divisor of a and c?
24
Suppose 3*b - 1203 = s, -6*s - b = -s + 5983. Let n = 845 + s. Let g be 2/(-5) + n/(-5). Calculate the highest common divisor of 10 and g.
10
Let c(y) = -y**3 + 2*y**2 - 2*y + 8. Let f be c(6). Let l = -106 - f. Let u = l - 30. Calculate the greatest common factor of 18 and u.
6
Let r = 6 - 5. Suppose -3*t = -14 - r. Suppose 4*n = 2*l + 126, -n + 4*n = t*l + 105. Calculate the highest common factor of 10 and n.
10
Suppose -x = -5*x + 16. Let z be (-36)/(-12) - (-2 + (-1 - -2)). Calculate the highest common divisor of z and x.
4
Let o be 36/(3*3/24). Calculate the highest common divisor of o and 12.
12
Let s = 142 + -40. Suppose 4*h + 38 = s. What is the greatest common factor of h and 8?
8
Suppose 2601 = 5*t + 701. Suppose 0 = -3*b - 2*b + t. Calculate the highest common divisor of b and 19.
19
Let a be (7/(-28)*4)/(2/(-132)). What is the greatest common divisor of a and 6?
6
Suppose 3*s = i - 111, -i - 5*s + 167 = i. Calculate the highest common factor of i and 48.
48
Suppose -3*u + q + 10 = 0, 4*q = 2*u - u + 15. Let c = -19 - -29. Calculate the highest common divisor of u and c.
5
Let h be ((-6)/5)/((-2)/20). Suppose 0 = -421*u + 436*u - 90. What is the highest common divisor of u and h?
6
Let a be (5/(-15))/(2/(-12)). Let f be a/(-3)*(-15)/1. Calculate the greatest common factor of f and 90.
10
Suppose -3*n + 20 = -4*w, 5*w = 30 - 10. Suppose 2*z = -2*z + n. Suppose c = 4, 0 = s - 2*s - c + 10. What is the greatest common factor of z and s?
3
Suppose -2*w + 42 = -2*k + 122, -55 = -k - 2*w. Let p be (-6 - (-15 + 2))*(-60)/(-14). What is the greatest common divisor of k and p?
15
Suppose -3*h - 7 = -19. Let v = -15 - -45. Suppose -3*b + 3*z + v = 5*z, -2*b + 4 = -4*z. What is the greatest common factor of h and b?
4
Suppose -4*u + 5*k = -133, 5*u - 3*k - 155 = -8*k. Calculate the greatest common divisor of u and 16.
16
Suppose 0 = -2*k - 2*k - 3*b + 264, -k + 4*b = -47. Suppose 3 = w - 10. Let p = w + -4. Calculate the greatest common divisor of p and k.
9
Let k(p) = 11*p - 25. Let l be k(8). Calculate the highest common factor of 9 and l.
9
Let w = -41 - -59. What is the greatest common factor of 6 and w?
6
Let h(y) be the second derivative of y**4/12 - y**3/3 + 2*y**2 + 2*y. Let o be h(4). Calculate the highest common factor of o and 60.
12
Suppose -5*c + 0*c + 180 = 0. Suppose c = 5*x - 44. What is the highest common factor of x and 144?
16
Let j be (2 - 20)/((-32)/48). Let t be (2 - 1/(-4))*4. What is the greatest common divisor of j and t?
9
Let k = 3 + -1. Suppose 0 = -k*c - c + 2*g + 122, -g + 44 = c. Let l = -237 - -243. Calculate the greatest common divisor of c and l.
6
Let y be -20 + 0 - (-1 - -2). Let o = 73 - 129. Let b = y - o. Calculate the highest common divisor of 14 and b.
7
Let u(r) = -3*r**3 + 3*r**2 + 5*r + 2. Let y be u(-2). Calculate the greatest common factor of 4 and y.
4
Suppose o - 23 = 67. Let f(a) = 9*a + 1. Let p(h) = -2*h - 1. Let k be p(-1). Let y be f(k). What is the greatest common factor of o and y?
10
Let a(p) = -7*p - 44. Let v be a(-22). Calculate the greatest common divisor of v and 20.
10
Suppose -3*a - 28 = -4*t, 3*t + 1 = 3*a + 25. Suppose 0 = -t*z - z + 740. Suppose 72 = 2*q - z. Calculate the highest common factor of q and 10.
10
Let b be ((-36)/(-2))/((8/(-3))/(-4)). Calculate the highest common factor of b and 45.
9
Suppose 3*k - 5*d = 67, 0*d - 4*d + 11 = k. Let n = k + 3. What is the greatest common divisor of n and 2?
2
Suppose -101 = -2*g - 0*d - 3*d, -153 = -3*g - 3*d. What is the highest common divisor of 468 and g?
52
Let s(n) = -n**3 + 1. Suppose 0*m + 10 = -2*m. Let o be (4/6)/(m/15). Let j be s(o). Calculate the greatest common factor of 72 and j.
9
Let h(q) = q + 7. Let c be h(-5). Let r be 28/(2/c*2). What is the highest common divisor of r and 35?
7
Let h be 6*(0 + 0 + (-24)/(-9)). Calculate the highest common factor of 144 and h.
16
Let x(d) = 5*d**3 + d**2 - d + 1. Suppose 9 = 5*r - 4*k, 0 = 4*r + 3*k - 3 + 2. Let i be x(r). Calculate the highest common divisor of 30 and i.
6
Suppose 0 = -x + 5*q + 31, 2 = -x - 5*q - 7. Calculate the highest common divisor of 55 and x.
11
Let c be -1 - (-3 - (-3 - -14)). Calculate the highest common factor of 26 and c.
13
Suppose -10 + 115 = 5*x. Suppose 4*m + s - 934 = -s, -3*m + 698 = s. Calculate the greatest common divisor of m and x.
21
Suppose 4*b = 8*b + 2*v - 66, 4*b = -v + 65. Calculate the highest common factor of b and 80.
16
Let l(r) = -18*r - 3. Suppose 2*k + 4*n = 4, 2*k + 2 + 6 = -n. Let y be l(k). Let d be (-15 - 0/1)*-1. Calculate the highest common factor of d and y.
15
Suppose 5*i = 3*s + 3 + 92, 0 = 3*i - s - 53. Let z = 23 + 17. What is the greatest common factor of i and z?
8
Suppose 120 = 4*k - 5*r, 30 = -3*k + 4*k + 2*r. Let j be (45/6)/((-2)/(-12)). Calculate the greatest common divisor of k and j.
15
Suppose -55 = -4*g - g. Suppose 0 = -14*d + g*d + 165. Suppose 1 = -4*l + 21. Calculate the greatest common factor of d and l.
5
Suppose 0*l + 5*l = 25. Suppose 2*q + 2 = 3*m, l*q - 4*m - 5 = 4. Calculate the greatest common factor of 5 and q.
5
Suppose y + 2*y - 72 = 0. Calculate the greatest common divisor of y and 3.
3
Let n(p) = 8*p**2 - 2*p. Let s be n(4). Suppose -2*r = -2*q + 25 + 35, -2*r = -4*q + s. Calculate the highest common factor of q and 10.
10
Suppose -2*h + 14 = 4*v, 3*h = -10*v + 5*v + 17. Let w be v/(-3)*(-29 - -2). Calculate the greatest common divisor of w and 54.
18
Let u = 3 - 1. Let h be u/(-5) + 44/10. Let w be (-8)/16 - (-46)/h. Calculate the greatest common factor of 33 and w.
11
Let z(f) = -6*f**3 + f. Let x be (1 + -2)/(2 - 1). Let i be z(x). What is the highest common divisor of i and 2?
1
Let h(t) = t**3 + 5*t**2 + 4*t + 2. Let u be h(-3). Suppose d = -2*d + 216. Calculate the highest common factor of u and d.
8
Let z be ((-9)/(-4))/(4/16). What is the greatest common divisor of z and 99?
9
Let n(a) = 36*a**2 + a - 1. Let v be n(1). Let g be 5/((-10)/(-1)) + 46/4. What is the highest common factor of g and v?
12
Suppose -b - 134 = -3*t + 3*b, -2*t - 5*b + 74 = 0. What is the highest common divisor of t and 105?
21
Suppose -116 = -5*h - 16. What is the highest common divisor of h and 70?
10
Let l(a) = a**3 + 5*a**2 - a - 2. Let g be l(4). Let f be -168*-5*2/8. Let r = f - g. What is the greatest common divisor of r and 9?
9
Let u(m) = -4*m
|
{
"pile_set_name": "DM Mathematics"
}
|
decimal place?
-0.8
Let f = 56.0308 + -56. Round f to 2 dps.
0.03
Let d = -4342062 + 4342062.1862681. Let h = 1.1137323 + d. Let n = 1.3 - h. What is n rounded to 6 dps?
0
Let h = 1054 + -1053.99998679. Round h to 6 dps.
0.000013
Let t = -27.8 - 0.2. Let o = -28.56 - t. Let r = o + 0.55999977. What is r rounded to 7 dps?
-0.0000002
Let j = -1473430.569 - -1473581.5690081. Let x = 148.95 - -2.05. Let h = x - j. Round h to six decimal places.
-0.000008
Let l = -1018.428051 - -0.018051. Let u = l + 1019.729722. Let f = u + -1.32. Round f to 5 dps.
-0.00028
Let s = -0.0525312 - -0.0527. Round s to five dps.
0.00017
Suppose m - 5*o = -2*m + 79, m = 5*o + 13. Let v be (-1 - m)/(-1 - 1). What is v rounded to the nearest ten?
20
Let n = 63 + -155. Let m = -2132853.0079 + 2132945. Let o = m + n. What is o rounded to three decimal places?
-0.008
Let o = 2869 - 2869.00001611. Round o to six dps.
-0.000016
Let z = -3137.8649 - -3138. What is z rounded to three decimal places?
0.135
Let d = 600 - 533.9. Let m = 64.3975 - d. Let o = m + 1.7. Round o to 3 decimal places.
-0.003
Let h = 6 + -2. Let q = -9 - -14. Suppose 9*v = h*v - q, -2*a + 131 = -5*v. Round a to the nearest ten.
60
Let c = 1414 + -1414.1575. What is c rounded to 1 decimal place?
-0.2
Let x = -4.1 - -5.38. Let w = 0.08 - x. Let k = w + 1.203. What is k rounded to three decimal places?
0.003
Let z = 1.1300592 + -1.13. What is z rounded to five dps?
0.00006
Let t = 5415990 - 2785990. What is t rounded to the nearest 100000?
2600000
Let q = 1198.3065 + -1198. Let c = 0.1 - -0.2. Let k = c - q. Round k to three decimal places.
-0.007
Let f = -2423.9996262 - -2424. What is f rounded to 4 decimal places?
0.0004
Suppose 2*l - 4*f = 1710206, 2*l + 2*l - 3420426 = f. Let g = l - 1609183. Let k = 324076 + g. Round k to the nearest one hundred thousand.
-400000
Let z be (-13 + 1699 + 9)/((-3)/40). What is z rounded to the nearest 1000?
-23000
Let p = -1419.0743 + 1419. Round p to 2 decimal places.
-0.07
Let t = -5.32 - -4.637. What is t rounded to 1 dp?
-0.7
Let u = 9289 + -9288.9991778. Round u to 5 decimal places.
0.00082
Let j = 383 - 382.999994. What is j rounded to six decimal places?
0.000006
Let p = 607973.400005 - 607976. Let n = p + 2.6. What is n rounded to 6 dps?
0.000005
Suppose -5*j - 3*c = 3336, -2*j + 5*c = 4*c + 1341. Let a be (3 - j)*(-600000)/14. Round a to the nearest 1000000.
-29000000
Let m = -167.048 + 169. Let i = 0.46 + -2.36. Let x = i + m. What is x rounded to two decimal places?
0.05
Let o = -63.44 + -3.86. Let w = -67.30000938 - o. What is w rounded to 6 decimal places?
-0.000009
Let r = 77 + 151. Suppose q - 2*i - 124 = 0, 2*q + 4*i - r = 3*i. Suppose -5*m = -b - 565, -q = -2*b + 2*m - 1222. Round b to the nearest one hundred.
-600
Let j = 20376544.65999938 - 20376545. Let l = j - -0.34. Round l to seven decimal places.
-0.0000006
Let p = -0.96 - -0.95999094. Round p to 6 decimal places.
-0.000009
Let b = 99 - 288. Let v = b + 188.9999265. Round v to five dps.
-0.00007
Let j = -3.15 + 0.4. Let m = j - -2.749869. Round m to five decimal places.
-0.00013
Let f = 30.0000002 - 30. Let y = 0 - f. Round y to seven decimal places.
-0.0000002
Suppose 25*f = 18*f - 5502000. What is f rounded to the nearest 100000?
-800000
Let d = 1088 + -1088.000010672. Round d to 6 decimal places.
-0.000011
Let f = 51 - 31. Let r = -19.08 + f. Round r to one decimal place.
0.9
Let t = -0.23 + 1.13. Let s = t - 1.22. Let x = s - -0.08. Round x to 1 decimal place.
-0.2
Let p = 1985 - 1984.9083. Let b = 0.093 - p. What is b rounded to four decimal places?
0.0013
Let v = 0.056 + -0.516. Let i = 9.96 + v. Let f = -6 + i. What is f rounded to the nearest integer?
4
Suppose 4*a + 353559980 = -4*r, -3*r = -4*a + 18723094 - 372283109. Round a to the nearest one million.
-88000000
Let f(l) = -2*l + 10. Let s = -1 - -1. Let g be f(s). Let n(y) = -20*y**3 - 11*y**2 + 9*y + 10. Let p be n(g). Round p to the nearest 10000.
-20000
Let z = -38.43 - -20.52. Round z to the nearest integer.
-18
Suppose -4*m = 721 + 22543. Let l = -80 - m. Suppose -3*z = d - 18569 - l, 4*z - d = 32395. Round z to the nearest 1000.
8000
Let u = -0.1675 + 0.2524. Round u to 2 decimal places.
0.08
Let y be 50156/4 + -2 + -4 + 0. Suppose 0 = -8*p + y + 507. What is p rounded to the nearest 100?
1600
Let b = 186 + -187.328. Round b to 1 dp.
-1.3
Let d = 62 + -54. Suppose 7*u + 12400 = d*u. Round u to the nearest one thousand.
12000
Let y = -410.807 + 411. Round y to 2 decimal places.
0.19
Let z be 4/(-16) - 0 - (-143090)/8. Suppose 0 = 3*x - 2214 - z. What is x rounded to the nearest 1000?
7000
Let p = 249120 + -156220. What is p rounded to the nearest one thousand?
93000
Let i(p) be the first derivative of -2959*p**3/3 + p**2 - 23*p - 23. Let y be i(7). Round y to the nearest ten thousand.
-150000
Let w = -0.1753 - 0.8497. Round w to two dps.
-1.03
Let k = 31 + -31.00864. Let a = -0.008 - k. Round a to four decimal places.
0.0006
Let m = -842.75 - -854. Round m to 0 decimal places.
11
Let p = 349.53 + -345. Let t = 58.73 - p. What is t rounded to the nearest ten?
50
Let w be (388*-10)/((-2 + 0)/(-5000)). Round w to the nearest one million.
-10000000
Let h = -53 + 53.0588. Round h to two dps.
0.06
Let k(j) = -3*j**3 + 15*j**2 - 17*j + 3. Let t be k(17). Let x = -19490 - t. Round x to the nearest one thousand.
-9000
Let w = -28.3 + 27. Let s = 0.0021714 + 1.2975666. Let q = w + s. What is q rounded to 5 dps?
-0.00026
Let s = 0.4 + -0.40299. What is s rounded to three dps?
-0.003
Let t(a) = 518547*a + 4. Let g be t(3). Suppose -3*u - 115645 + g = 0. Round u to the nearest one hundred thousand.
500000
Let h = -0.762766 - -316.736466. Let p = 0.0263 + h. Let q = p - 313.87. Round q to 1 decimal place.
2.1
Let t(v) = 19 - 124*v - 7 + 6. Let g be t(7). Round g to the nearest 100.
-900
Let z = 388 - 226. Suppose -5*j - 252 = 198. Let b = z + j. Round b to the nearest 10.
70
Suppose -18*d - 41278 = 43502. Round d to the nearest one thousand.
-5000
Let h be (240/(-7))/(4*(-4)/164640). Round h to the nearest one hundred thousand.
400000
Let x = -14.04 - -14.944. What is x rounded to one dp?
0.9
Let g be (-6)/(-27) + ((-498965356)/18)/(-2). Let z = g - 60149. Round z to the nearest one million.
14000000
Let x = -83 - -150. Let t = x + -66.9999946. What is t rounded to six decimal places?
0.000005
Let j = 294 - 293.9999996043. Round j to 7 dps.
0.0000004
Let k(m) be the first derivative of -5280*m**2 - 40*m + 7. Let n(y) = -y + 1. Let u(d) = 2*k(d) + 80*n(d). Let l be u(5). Round l to the nearest ten thousand.
-110000
Let n = -404.3 + 446. Let a = -40 + n. Let r = a - -6.6. Round r to the nearest integer.
8
Let v = 748.9999593 + -749. What is v rounded to 6 dps?
-0.000041
Let l = 23.9 - 23.2. Let r = 148085.57 + -148086.26999932. Let u = l + r. Round u to seven dps.
0.0000007
Let v be 684/(-45) - 2/(-10). Let c(a) = a**3 + 13*a**2 - 16*a + 12. Let q be c(v). Round q to the nearest 100.
-200
Let i = -125501.54546 + 122466.015. Let u = i + 3014.5304551. Let z = u - -21. What is z rounded to six dps?
-0.000005
Suppose 8 = -9*k + 98. Suppose -k*j = -5*j - 5500000. What is j rounded to the nearest one million?
1000000
Let k = 589326 + -589422.0038. Let u = 96 + k. What is u rounded to 4 dps?
-0.0038
Let r be (46/(-5))/(22/(-385)). Let t = 340 - r. What is t rounded to the nearest 10?
180
Let c = 19 - 7. Let f = c - -4. Let m = 16.07 - f. Round m to one dp.
0.1
Let a = 29833.459874 + -29842.66. Let n = 6.2 + 3. Let b = a + n. Round b to five decimal places.
-0.00013
Let g = -8744967.72699926 - -8744849.727. Let l = g - -118. What is l rounded to seven dps?
0.0000007
Let u = 73 - 36. Let k = -95 + u. Let o = k + 58.73. Round o to one decimal place.
0.7
Let v = -20 - -35.4. Let r = 16.149065464 - 0.749064774. Let j = r - v. Round j to seven decimal places.
0.0000007
Let g = -10674270799 + 10674270227.0000703. Let j = -572 - g. What is j rounded to five dps?
-0.00007
Let l = 0.1 + -20.1. Let x = -16.196 + 36.094. Let n = x + l. Round n to 2 decimal places.
-0.1
Let v = 4.2391 - -0.0409. Round v to 1 decimal place.
4.3
Let r = -12938115.05600037 + 12938115. Let d = 0.09 - 0.034. Let o = d + r. Round o to seven dps.
-0.0000004
Let h = 0.29 - 2.89. Let k = -
|
{
"pile_set_name": "DM Mathematics"
}
|
the common denominator of (-9)/(-162)*369/6 and 125/12.
12
What is the common denominator of (-435)/24*12/10 and 25/4?
4
Let d be (9/(-6))/(3/(-6)). Suppose 2*x + 12 = b, -3*b + d*x + 10 + 11 = 0. Let v = -1 + 11. Calculate the smallest common multiple of v and b.
10
Let k = -219809 + 889273/4. Suppose 0 = -w - 8*w - 22410. Let b = w + k. What is the common denominator of 21/4 and b?
4
Let f = -11 + 15. Suppose -5*r - 2*g = -0*g - 18, -4*r = -3*g + f. What is the least common multiple of 16 and r?
16
Find the common denominator of (-2)/(-3)*3729/(-220) and 41/16.
80
Let u(y) = y**3 - 12*y**2 + 10. Let d be 24*(2/4)/1. Calculate the least common multiple of 2 and u(d).
10
Let s = -278 - -711. Suppose -3*g = 4*p + 16, 0 = 3*g - p - 3*p + 32. Find the common denominator of g/(-28) - s/21 and 16/11.
33
Let i be 3/(1/281*-115). Let n = i + 3/23. Find the common denominator of -11/4 and n.
20
Suppose m - 4*o - 30 = -0*o, -m + 26 = -3*o. What is the least common multiple of (-2)/(-6) + (-174)/(-18) and m?
70
Let i = 23 - -49. Calculate the least common multiple of 11 and i.
792
Let s = -9455 - -94629/10. Let f = -2894 + 109989/38. Let q = 43/95 + f. What is the common denominator of s and q?
10
Suppose -c = 2*q + 3*q + 8, 0 = 5*c - 3*q - 16. Suppose c*o = 9 + 25. Suppose 0 = -2*v - o + 49. Calculate the lowest common multiple of 12 and v.
48
Suppose 4*m + 4 = -4*q, 5*m = -2*q - 1 + 11. What is the lowest common multiple of m and 10?
20
Let f = 4 + 57. Calculate the common denominator of (f/(-5))/(10 + -12) and -83/16.
80
Let h be 1*1*1/31. Let u = 50382167/186 + -1083455/4. Let g = h - u. Calculate the common denominator of 57/16 and g.
48
Calculate the lowest common multiple of (6/9)/(1/15) and -1 + -2 + 4 - (-63)/21.
20
Let z(m) = m**2 + 3*m. Let d be (-2 + 1)/((-1)/11). Let w = d + -1. What is the lowest common multiple of w and z(-6)?
90
Let i = 474 + -118. What is the common denominator of 61/14 and (3/16)/(12/i)?
112
Let m(n) = -n - 3. Let v be m(-6). Suppose -30 + 0 = -v*y. What is the least common multiple of y and (-8*3)/3*-1?
40
Let j = -1 + 4. Let p be ((-10)/3)/(j/(-9)). Suppose -2*a + 3*a = p. What is the lowest common multiple of 8 and a?
40
Suppose 2*s + 0*s + 4*c - 8 = 0, -4*c + 6 = s. What is the lowest common multiple of 18 and s?
18
Let h = -449 - -1747/4. Let k be (-47 - 1)/((-21)/(-4312)). Let v = k - -98671/10. Find the common denominator of h and v.
20
What is the common denominator of (3/(-60))/((-9)/1278) and -51/2?
10
What is the least common multiple of 6 and (-20)/(-6)*(-45)/(-25)?
6
Let n(y) = y**2 - 6*y + 4. Let x be n(6). Suppose -2 = -h + 1. Suppose -x*g - 4*a + 60 = a, -68 = -4*g - h*a. Calculate the lowest common multiple of 20 and g.
20
Let g = -21163/8 - -2634. Calculate the common denominator of g and -139/18.
72
Let n(f) = 2*f - 7*f**2 + 2*f + 0 + 6 + f**3. Let s be n(6). Let z(j) = j**2 + 6*j + 7. What is the lowest common multiple of 4 and z(s)?
28
Let g be -17 - (1 + -1 + -2). Find the common denominator of 11/10 and -1 + (-153)/g + -2.
10
Let b = 8251/4 - 2053. Find the common denominator of b and -3 - (-10)/6*119/14.
12
Let b be (-9)/(-6)*2/3. Let s = 3 - b. What is the smallest common multiple of 4 and (s + -5)/((-3)/8)?
8
Suppose -2*u + 14 = -0*u - r, -u + r = -6. Let a = -5 - -10. What is the smallest common multiple of a and u?
40
Calculate the common denominator of 12/(-153)*(-267)/(-72) and 95/14.
2142
What is the common denominator of -51/4 and 0 + (-3 - 93/(-6))?
4
Let z = -46015/6 + 7686. Find the common denominator of 143/12 and z.
12
Suppose 3*c + b = 38, 0 = c - 2*c - 2*b + 6. What is the lowest common multiple of (-23)/(-2) + (-2)/(-4) and c?
84
Let m be (-2)/(-3) - 14/3. What is the least common multiple of (m/6)/(7/(-42)) and 8?
8
Suppose -6 = 15*j - 17*j. What is the lowest common multiple of 1 and j?
3
Let v = -8 - -13. Suppose 5*f - f + 5*n = 6592, -v*f - 3*n + 8253 = 0. Let m = -23221/14 + f. Calculate the common denominator of 73/18 and m.
126
Let x = -2099/48 - -497/12. Calculate the common denominator of x and (-12)/(-24) + (-37)/(-8).
16
Let c be -2 - (-3)/((-324)/33069). Let d = c + 1203/4. Calculate the common denominator of d and 11/3.
9
Let y be 6469/(-15) - (-3)/(-9). Let r = -433 - y. Calculate the common denominator of 1/4 + (-642)/168 and r.
35
Suppose 0 = -h - 4*r + 28, -4*h - r + 42 = r. What is the least common multiple of h and (-2)/1*(1 + -2)?
8
What is the common denominator of -93/4 and (-1959)/297 + (-4)/22?
36
Let i(x) = -4*x**3 - 3*x**2 + 2. Let r(j) = 3*j**3 + 20*j**2 + 10*j + 10. Calculate the smallest common multiple of r(-6) and i(-2).
22
Let d = -35 - -59. Calculate the smallest common multiple of d/(-9)*-1*3 and (-6)/(-4)*56/12.
56
Let y = 54 - 114. Find the common denominator of -65/6 and 2 + -2*(-327)/y.
30
Suppose 0 = -13*t + 87 - 9. Let k = 58 - 38. Calculate the smallest common multiple of t and k.
60
Suppose 3*d - 28 = 20. Let r be 0/(-2 + 2 - 2). Suppose -5*a = -r*a - 100. What is the least common multiple of d and a?
80
Let p = 31 + -9. What is the least common multiple of p and 6?
66
Suppose -4*x - 2*c + 116 = -26, -2*x = 2*c - 76. Let l be 6/x + (-42022)/132. Let d = l - -587/2. What is the common denominator of 31/4 and d?
12
Let q(p) = 314*p. Let f be q(1). Find the common denominator of 23/16 and -4 + 2 - f/(-12).
48
Let l = 9 - -8. Suppose 4*v - 3 - l = 3*z, 3*v - z - 10 = 0. What is the smallest common multiple of 8 and v*(2*-1 - -7)?
40
Let s be 1*-1*(-23 - -3). Let w = -9 + s. What is the least common multiple of (6/4)/(33/176) and w?
88
Let s(m) = m + 62. Suppose 3*k = -2*k. Let j be s(k). Suppose 3*d = -4*q + d + j, 2*d = 4*q - 50. What is the least common multiple of q and 12?
84
Suppose 4*u + 1 = 5*u. Let t = -211741/12 + 17633. Find the common denominator of t and u/(6*3/(-123)).
12
Suppose 32 = -5*s - p + 4*p, -4*p + 16 = 0. Find the common denominator of ((-1)/(-4))/(22/84) and (-2)/s*174/8.
88
What is the common denominator of ((-2)/10)/((-56)/3570) and 71/18?
36
Suppose 5*h + 36106 + 35909 = 0. Let y = h + 201737/14. Calculate the common denominator of y and 97/10.
70
Calculate the least common multiple of 8 and (1/(-1) - 1) + 8.
24
Let v be ((-6)/(-4))/((-3)/28). Suppose 0 = 5*t - 6 - 19. What is the lowest common multiple of (-4)/v - t/(-7) and 4?
4
Let o(n) = n**2 - 3*n + 4. Let s be o(4). Let z = 8081/5 - 1606. What is the common denominator of z and (-87)/s + 3/6?
40
Suppose -5*h + 6 = -3*h. Suppose -h*r - 52 = -5*k, r = -3*k + 8 + 12. Calculate the smallest common multiple of 8 and k.
8
Let b be (-2)/1*(11 + -6). Let g(s) = -2*s**3 - 2*s**2 - s + 2. What is the lowest common multiple of g(-2) and (-10)/(-4) - b/(-20)?
12
Let z = -6475936/145 - -44662. Let p = 24/29 + z. What is the common denominator of -143/6 and p?
30
Let m(p) = -p**3 + 7*p**2 - 4*p + 8. Suppose 5*a + 3 - 63 = 0. Let d = a - 6. Calculate the lowest common multiple of d and m(6).
60
Let x be ((-2)/4)/((-2)/24). Suppose n = -2*n + x. Suppose -5*v + 37 = n. Calculate the lowest common multiple of 8 and v.
56
Let d = -118968 - -698329/6. Let u = -2573 - d. Let n = -151/24 + 277/168. What is the common denominator of u and n?
42
Let t = -150102 - -1052612/7. Let j = -584 - -315. Let s = t + j. What is the common denominator of 31/7 and s?
7
Let a = 37 - 15. Calculate the lowest common multiple of 10 and a.
110
Let s be (24/(-60))/(1/5). What is the common denominator of 85/16 and 2 - ((-87)/s + 4)?
16
Calculate the common denominator of 67/15 and (-7)/(-3)*(-64)/80.
15
Let a = 1899/14 + -806/7. Let k = -622 - -21125/34. Calculate the common denominator of a and k.
34
Let r(h) = -6*h - 56. Let b(g) = g**2 + g - 2. What is the least common multiple of b(2) and r(-13)?
44
What is the common denominator of 55/42 and -4 - (5 + 515/(-70))?
42
Suppose 44 = -4*n + 3*n. Find the common denominator of 2 + -2 + 106/n and (-134)/(-28) + 3 + -2.
154
Let b(s) = -s**3 - 2*s + 10. Calculate the lowest common multiple of b(0) and 6.
30
Let o = 73 + -49. Calculate the lowest common multiple of o and 27.
216
What is the common denominator of -2*11*(3 + 264/(-87)) and -42?
29
Suppose -5*i = -0 - 5. Suppose 3*f = -4*b + 17, 0*b - 4*f = 3*b - 18. Suppose 2*r - 6*a + 6 = -a, -2*r + 3
|
{
"pile_set_name": "DM Mathematics"
}
|
= j + -18. Suppose -l = -1 + 4. Sort l, o, 9 in ascending order.
l, o, 9
Suppose 28 = 2*p - 9*p. Let h be (p + (-80)/(-15))*(1 + 2). Let x be 0 - (-1 - 0)*-2. Put 1, -3, h, x in ascending order.
-3, x, 1, h
Let k = -518 - -519. Sort k, 4, -5, 2 in increasing order.
-5, k, 2, 4
Let c = 3489.94 - 3490. Put -0.44, -4, c, -5 in ascending order.
-5, -4, -0.44, c
Let p = -2338 + 2336. Let d be 7 + -1 + 6 + -3. Sort -0.3, p, d, -0.5 in decreasing order.
d, -0.3, -0.5, p
Let s be (-13)/(-52) + (-10756)/16. Let u = -667 - s. Put -5, -13, u, 4 in decreasing order.
u, 4, -5, -13
Let v be 46215/14931 + -2 + (-40)/(-21). Put -9, 0, -2, v, -4 in descending order.
v, 0, -2, -4, -9
Let w = 16.81 + -17.43. Let u = 148 - 143. Sort 0, 4, w, u in increasing order.
w, 0, 4, u
Let m(f) = -201*f**2 + 807*f - 17. Let j be m(4). Sort 4, -44, j, -3 in ascending order.
-44, j, -3, 4
Let c = -63.06 - -63. Let w = -360.1 - -360. Sort c, 6, w.
w, c, 6
Suppose -26 + 38 = -2*u - 4*r, 43 = -3*u - r. Let v = -27 + 15. Let l be (3 + v/9)*-3. Sort -4, l, -2, u in increasing order.
u, l, -4, -2
Let j = -230336307450381 + 757576102192258995/3289. Let n = j - -3956231. Let z = n - -3/143. Sort z, -0.9, -0.2 in decreasing order.
z, -0.2, -0.9
Let f be (169/(-26))/((-2)/(-4)). Put f, 0.04, 3, 0 in descending order.
3, 0.04, 0, f
Let x be 7 + -7 + (36 - 2). Suppose x*v - 36*v - 14 = 0. Let l(a) = a - 3. Let m be l(0). Sort m, 1, v in descending order.
1, m, v
Let y = 19 - 22. Let w be (184/276)/(1/84*-1). Put -1, y, w in decreasing order.
-1, y, w
Suppose 0 = -2*v + 3*v + 2*v - 9. Sort v, -2, 5, 4, 8 in decreasing order.
8, 5, 4, v, -2
Suppose 40*w - 33*w - 35 = 0. Let p be (-1)/5 + 33/715. Sort 0, w, p in increasing order.
p, 0, w
Let m = -1 + 1.2. Let v = 172517 - 172519. Sort v, 0.39, m in increasing order.
v, m, 0.39
Suppose 0 = 116*b - 154*b - 304. Put 13, b, 2 in ascending order.
b, 2, 13
Let k(z) be the second derivative of -z**4/12 + z**3/6 + 19*z**2/2 + z. Suppose -110*d - 28*d - 315 = -1005. Let v be k(d). Put 2, 5, 1, v in ascending order.
v, 1, 2, 5
Let s = 208 + -206.93. Let f = 1.87 - s. Sort -3/2, f, 3 in ascending order.
-3/2, f, 3
Let a be 44/132 + -3 + 1 + 2. Suppose -40 = -29*o + 37*o. Sort o, 27, a, 0.2.
o, 0.2, a, 27
Let v(z) = 78*z + 5. Let l be v(-1). Let f = l + 70. Let g = -51 + 55. Sort -2, g, f.
f, -2, g
Let s(g) = -8*g + 125. Let j be s(0). Sort j, -1, 3 in ascending order.
-1, 3, j
Let w be (-2)/5*30/(-42). Let r(i) = -1. Let f(u) = 6*u - 98. Let a(t) = f(t) - 5*r(t). Let d be a(17). Sort d, 0.2, w in descending order.
d, w, 0.2
Suppose 3*o = o - 8. Let r(f) = 2*f**2 - 56*f + 59. Let w be r(29). Let a be (-12)/w*6/o. Sort -2/3, -2, a.
-2, -2/3, a
Let p(o) be the third derivative of o**5/30 + 5*o**4/8 + o**3 - 21*o**2. Let c be p(-6). Put c, -0.2, 0.2, -2 in increasing order.
c, -2, -0.2, 0.2
Let j(s) = -s**2 + 6*s - 1. Let y be j(6). Let w(k) = k**2 + 7*k + 2. Let a be w(-6). Let g be (-56)/(-26) + a/2. Sort y, -2/7, g, 0 in increasing order.
y, -2/7, 0, g
Let c be 3/(-1) - (-18)/5. Let o = -44 - -44.5. Let h be (-1)/(1 + (-14)/(-4)). Put h, c, o, -3/2 in descending order.
c, o, h, -3/2
Suppose 124*c + 58 = 125*c. Let t be c/203 - ((-37)/(-7) + -1). Put 6, 3, t in descending order.
6, 3, t
Let g be (-20)/8*(6 + (-160)/25). Sort g, 5, 318 in decreasing order.
318, 5, g
Let l = -34826 - -34827. Let a = 4 - 2. Sort -13, -3, l, a in descending order.
a, l, -3, -13
Let c(q) = -20*q + 36 + q**3 + 582*q**2 - 1167*q**2 + 568*q**2. Let u be c(18). Put 5, -28, u in descending order.
5, u, -28
Let l be (2652/(-1547))/(6/(-14)). Suppose 5*x + 2 = -13. Sort x, l, 19.
x, l, 19
Let c = 4682 + -4682.1. Let p = 10 + -5. Sort -5, p, c in ascending order.
-5, c, p
Let q = -3.5 + 3.5. Let w = -9 + 14. Suppose w*r + 2 = 7. Put q, r, -2/5 in ascending order.
-2/5, q, r
Let n = -626 + 346. Let p = n - -275. Put p, -0.5, -3, 0.2 in decreasing order.
0.2, -0.5, -3, p
Suppose 6*g - 12*g = -2*g. Suppose 7*d + 86 - 100 = g. Put d, -23, 1 in decreasing order.
d, 1, -23
Let y be ((0 - -1)/(10/2 - 2))/(22223/200007). Let l = 5.86 - -0.14. Sort y, l, 3/5 in ascending order.
3/5, y, l
Let f = 2753 + -1203. Suppose -f*v = -1557*v - 35. Let h be 12/(-2)*2/4. Sort h, 5, v.
v, h, 5
Let c = -1074 + 1069. Sort -2/3, 176, c in ascending order.
c, -2/3, 176
Suppose -5*f - 2 = 3. Suppose 44 = 1165*z - 1176*z. Sort f, 5, 0, z in decreasing order.
5, 0, f, z
Let h be 865/100 - 8 - 4/10. Let q = -35 + 31. Sort q, h, 1/8, 1 in ascending order.
q, 1/8, h, 1
Let s(t) = -t**3 + 18*t**2 + 17*t + 41. Let m be s(19). Suppose 3*x - 9 = -3*p, -1 = -x - m*p + 4. Sort -4, x, -19 in ascending order.
-19, -4, x
Suppose -288*v - 63 - 269 = 244. Sort -5, 36, v, -6 in descending order.
36, v, -5, -6
Let n = 336 - 339. Suppose -2*i = -2*a - 0*a + 8, 0 = 5*i + 5*a - 30. Let s = i + -3. Sort s, n, -5 in decreasing order.
s, n, -5
Let r = -226 - -228. Let c be ((-36)/162 - r/(-9))/(-4). Sort 3, -3, c in descending order.
3, c, -3
Let l = -169.083 - -169. Let w = -0.417 + l. Sort w, -0.06, 3/7 in ascending order.
w, -0.06, 3/7
Let k = 25 + -126/5. Let n = -499 + 503.73. Let q = n + -1.73. Sort q, 0, k, 4.
k, 0, q, 4
Let q = -2423 - -2396. Put 14, 0, q, 1 in increasing order.
q, 0, 1, 14
Let h = 0.4366 + -0.4736. Let k be -2*1 - 24/(-10). Sort k, 2, -5, h in ascending order.
-5, h, k, 2
Let o be (1 - 10)*2/2. Let d = o - -4. Let r be (-1 - -3)/2 + 42/(-14). Put d, r, -10 in increasing order.
-10, d, r
Let d(v) = -v - 9. Let y be d(7). Let n(j) = j**2 - 7*j + 2. Let s be n(5). Let p = s - -7. Sort -3, p, y.
y, -3, p
Let v = 6151 - 6148. Put 4, -0.5, v, -74, -0.07 in decreasing order.
4, v, -0.07, -0.5, -74
Suppose 0 = 11*v - 15*v - 5*n - 7, n = 3*v - 9. Put 8, v, 140 in decreasing order.
140, 8, v
Let l = -13 - -13. Let b be (-5)/20 + (-27)/(-12). Suppose 3*f + 5*a = -25, b*a = -3*f - 2*a - 26. Put f, l, 3 in descending order.
3, l, f
Let o = -54 - 0. Let j be (-4)/o*3 - 190/45. Suppose 3*n - 3 = 3*p + 21, -5*p = 3*n. Put j, 4, p in decreasing order.
4, p, j
Let c = 1588 - 1599. Put c, -1, 2, 8 in descending order.
8, 2, -1, c
Let c = -295107/197 - -1498. Let j = c + -389/985. Let r = -2.89 + 2.79. Sort 1, 5, r, j in ascending order.
j, r, 1, 5
Let n be 15/20*(-32)/(-56). Put -1/2, n, -11, 1, 0.1 in descending order.
1, n, 0.1, -1/2, -11
Suppose 59 = -2*u - 3*g, -69*g + 31 = -u - 72*g. Suppose -68 = 5*n + 52. Let q = n - u. Put -11, 5, q in ascending order.
-11, q, 5
Suppose -4*m - 2*x = 30, -x - 10 = -3*m + 4*x. Suppose 13*c - 14*c = -5. Let z(k) = k**3 - 4*k**2 - 3*k - 6. Let w be z(c). Sort w, m, 0 in decreasing order.
w, 0, m
Let x(p) = -477*p + 1009. Let c be x(2). Sort -2/13, c, 0.5, -0.1 in decreasing order.
c, 0.5, -0.1, -2/13
Let t(a) = -a**3 + 12*a**2 + a - 4. Let q be -1 + (-2 - -19) + -4. Let k be t(q). Suppose -k = -3*r + 1. Sort 4, -2, r in ascending order.
-2, r, 4
Let d = 3873 - 3880. Sort -1/5, d, -0.4, 0.0159 in increasing order.
d, -0.4, -1/5, 0.0159
Let b be (1 - 2) + 2 + 2. Let d be 1/(-3) - -14*(-1)/b. Put 2, d, 6, -4 in decreasing order.
6, 2, -4, d
Let p be (8*3/96)/(4 - 5). Put p, -4/3, -3 in descending order.
p, -4/3, -3
Let p = 6198 + -6201. Sort 1, 3, 19, 2, p.
p, 1, 2, 3, 19
Let s = 2941/55 - 597/11. Put s, 1/2, 5/4, 27 in descending order.
27, 5/4, 1/2, s
Let h = -1 - -10. Let c = -241 - -240.8. Put c, -0.3, h in decreasing order.
h, c, -0.3
Let k(x) = -2*x - 11. Let u be k(-6). Let i be (-2 - -3)/(0 + 3/(-471)). Let p = -159 - i. Sort 3, -1, p, u in descending order.
3, u, -1, p
Suppose -5*k - 7*m - 29 = 51, 0 = -m - 10. Let y = -22 - -16. Let c = -4 - -3. Put k, y, -4, c in descending order.
c, k, -4, y
Let g(f) = -2*f**3 - 18*f**2 - 66*f - 378. Let j be g(-8). Sort j, -9, -7.
-9, -7, j
Let c be (45/(-10))/((-1)/20). Let f be 12/c*(0 + -3). Let q be (-1820)/5355 + (-4)/(-34). Put q, -0.5, 1/2, f in descending order.
1/2, q, f, -0.5
Let i = -8 + 3. Let r be 1/((-9)/6)*(-30)/4. Suppose -5*n + 2*y = -22, -5 = -4*n - 4*y + 7. Sort n, 2, i, r in ascending order.
i, 2, n, r
Let x = -158 + 85. Let c = x + 74. Sort 3/4, 0.05, 4, c.
0.05, 3/4, c, 4
Let t(c) = -c**2 - 12*c - 32. Let v be t(-3). Let q = -496 - -476. Put v, -2, 4, q in ascending order.
q, v, -2, 4
Let i = -2 + 3. Suppose -z - 7924
|
{
"pile_set_name": "DM Mathematics"
}
|
Let h = 486 - 485. Solve 7*a = 8 - h for a.
1
Let o = 41 + -38. Suppose -o*z = 3*g - 12, 0 = -2*z + 3 - 1. Suppose 4*q = -f + 8, -4*f = q + f - 21. Solve -2*t - g = q for t.
-2
Suppose 1 = -4*t - 0*c + c, -5*t - 2*c = -2. Let b = -103 + 103. Suppose -7*r = -3*r - b*r. Solve t*g - 2*g = r for g.
0
Suppose -3*z = 3*x - 111, 4*x = -z + 50 - 13. Solve 0 = 5*v - z + 37 for v.
0
Suppose 0 = 4*a - 6*a + 8. Let h be (a/(-3))/((-20)/30). Solve s = h*s + 5 for s.
-5
Suppose 5*w - k + 0*k - 72 = 0, -5*w - 2*k + 66 = 0. Suppose 3*u + 4*z = 10, u + 2*z + 20 = 2*u. Let h = w - u. Solve s - 2*s = h for s.
-4
Let q(n) = n**3 - 14*n**2 + 13*n + 2. Let h be q(13). Solve 1 + 5 = -h*j for j.
-3
Let c be 2 - ((-4 - -4) + 4) - -19. Suppose 3*n - c = -3*u + 10, u = -3*n + 17. Solve -n*w = w for w.
0
Let s(x) = x - 5. Let b = 6 + -6. Let i be s(b). Let h(g) = -g**3 - 5*g**2 - g - 5. Let v be h(i). Solve -f - f + 4 = v for f.
2
Suppose 3*b - 13 = -p + 5*b, -4*b - 65 = -5*p. Solve 0 = -p*m + 14*m for m.
0
Suppose -4*q = -3*q - 4*z + 12, 4*q = -3*z + 9. Suppose 7*k + 0*k - 70 = q. Solve -k = -3*r + r for r.
5
Let m be 2/(-2) - (-54)/(-18). Let k = m + -13. Let w = -13 - k. Solve -6 = -w*o - 2 for o.
1
Suppose 0 = -2*m - 3*k - 11, 3*m - 4*k - 11 = 15. Let d be (9 - 6) + 2/1. Solve d*r - m = 3 for r.
1
Suppose -5*s + 2*d - d + 38 = 0, 0 = -s + d + 10. Suppose -3*v - 116 = -s*v. Suppose v - 32 = -q. Solve -7*o + q*o = 8 for o.
-2
Suppose -5*d = -g - 16 - 17, 5*d = -5*g - 15. Let y be 1 - (g/2)/(-4). Suppose 2*f + 2*t - 53 = -3*t, -f + t = -23. Solve y = -3*v - f + 9 for v.
-5
Suppose 0 = 7*c - 3 - 39. Suppose -11*v = -14*v + c. Solve w - 1 = v for w.
3
Let n(s) = -16*s**3 + 5*s**2 - 4*s. Let u be n(1). Let x = -15 - -40. Let d = x + u. Solve -d = -3*h + 2 for h.
4
Let z(c) = c**3 - 10*c**2 + 16*c + 1. Let l be z(8). Let v be (-9 - -12) + 1/l. Let h(t) = 5*t. Let r be h(3). Solve j = v*j + r for j.
-5
Let j(a) = a**3 + 10*a**2 - a - 9. Let w be j(-10). Suppose -9 = -h - w. Solve u - 5*u = -h for u.
2
Let y = 5 - 2. Suppose 3*b = 4*c + 7*b + 4, y*b = -15. Solve c = 2*t + 2*t for t.
1
Let c be 1*-5*(-12)/20. Let s(t) = -9*t + 17. Let f(p) = -10*p + 18. Let h(k) = 5*f(k) - 6*s(k). Let d be h(8). Solve c*r + d = -2*r for r.
-4
Let s = -49 - -50. Let i be (-4)/(-1*2) + (4 - s). Solve 4*f - i*f = 5 for f.
-5
Let d(a) = a**2 - 93*a + 270. Let b be d(3). Solve b = 7*p - 16*p + 27 for p.
3
Let l(h) = h**3 - 2*h + 1. Let j be l(1). Solve -3*z + j*z = -12 for z.
4
Let l(z) = -z**3 - 3*z**2 + 3*z - 3. Let p be (13/2)/(2/(-4)). Let y = 9 + p. Let a be l(y). Solve -r - 3 - a = 0 for r.
-4
Let v be (-5 - (-249)/51) + (-336)/34. Let w be v/(2*((-1)/5 + 0)). Solve -4*a = a + w for a.
-5
Let v = -1121 + 1121. Solve v = -6*y - 0 + 12 for y.
2
Let j(w) be the second derivative of w**4/12 + 5*w**3/3 + 9*w**2/2 + 9*w. Let g be j(-9). Solve g = 5*i - 8 - 17 for i.
5
Let m(h) be the first derivative of -h**3/3 + 2*h**2 + h + 12. Let f be m(3). Solve -12 = f*n - 0*n for n.
-3
Let x(a) = -a**2 + 4*a + 1. Let i be x(4). Suppose 2*m - h + 8 = 0, -2*h + h = -3*m - 11. Let y be (5 + -2)*(-2)/m. Solve y*d + i = 3 for d.
1
Let s(b) = 17 + 3*b + 11*b - b**2 - 2*b**2 - 10. Let x be s(5). Solve x*q + 10 - 4 = 0 for q.
-3
Let s(n) = 22*n + 128. Let z be s(-5). Solve -z*y + 0*y - 54 = 0 for y.
-3
Let g(r) = r**2 - 2*r - 5. Let d be g(-2). Suppose -d*u + 62 = 14. Solve -a = 3*a - u for a.
4
Let w(z) = -23*z + 395. Let v be w(17). Solve 9*o = 4 - v for o.
0
Let q(n) = -18*n - 216. Let h be q(-12). Solve 11*w = -11 - h for w.
-1
Suppose 0 = -2*z + 2*m - 4*m + 2, 0 = -5*z - 2*m + 20. Solve -z*c + 3*c = 9 for c.
-3
Let v = 4 - 0. Suppose -5 - 29 = -4*b - n, 0 = 3*b + 5*n - 34. Solve 12 = -v*c + b*c for c.
3
Suppose 3*a - 18 = a. Suppose -5*f - m + 4 = 0, 97*m - 12 = -5*f + 94*m. Solve 2*x + a - 1 = f for x.
-4
Suppose 5*l + 2*t + t - 16 = 0, 2*t - 19 = -5*l. Solve -l*d - 10 = -3*d for d.
-5
Let q = -204 - -146. Let b = -35 - q. Let i = 30 - b. Solve -3*j = -i*j + 16 for j.
4
Suppose 25*x - 176 = 9*x. Solve -5 = x*n - 12*n for n.
5
Let h(b) = b**2 - 14*b + 13. Let c(g) = -g**3 - 4*g**2 - 6. Let q be c(-5). Suppose 5*a = -q + 84. Let y be h(a). Solve 4*o - o - 15 = y for o.
5
Let f = -43 + 69. Suppose t + 28 = 5*h, -6*h + h = -2*t - f. Let q be h/12 - 39/(-2). Solve 0 = 3*x + x + q for x.
-5
Let z(f) = -4*f + 2 + f + 26*f**2 - 25*f**2. Let v be z(2). Suppose -c = -v*c - 2, -2*c = -g - 2. Solve -g*m = -3*m + 3 for m.
3
Suppose -5*a = -15, y = 2*a - 2 - 2. Suppose 2*h - 5*k = -8, -y*k + 4 + 5 = 5*h. Let g = 1 - -1. Solve n - h + g = 0 for n.
-1
Let o be (-2 + 1)*(-2 + 2). Suppose o = -3*p + 5 + 10. Let z = p + -3. Solve z = l - 2 for l.
4
Let b(y) = -3*y - 2. Suppose -1 = -2*u - 13. Let s be b(u). Suppose 4*f = 30 - 18. Solve -r - f*r = -s for r.
4
Suppose -3*n + 26 = 2*p, -4*p + 20 = -p - 5*n. Solve -p = -q + 3*q for q.
-5
Let a be (-136)/(-1156) - 49/(-17). Let p(b) = b**2 + 4*b - 7. Let s be p(-6). Solve 2*n = -a*n - s for n.
-1
Let b = 211 + -208. Solve b*y = -5*y + 32 for y.
4
Let a(s) = s**3 + 4*s**2 + s + 7. Let j be a(-4). Suppose -5*z - 11 = -4*k, -k + 5*z = -j*k + 13. Solve k*h - 4 = 12 for h.
4
Suppose -4 = -4*p + 4. Let w = 35 + -26. Let r be (0 - 3/w)/(8/(-24)). Solve -r = p*a + 7 for a.
-4
Suppose 5*p - 36 = 49. Let s = -17 + p. Solve s = -v + 2 - 5 for v.
-3
Suppose 0 = -2*i - 9 + 1. Let j be (1 - 5)*1/i. Let r be (-3)/j*4/(-4). Solve 6 = -r*c + c for c.
-3
Let x(d) = d**2 + 11*d - 9. Let r be x(-11). Let y be r/12*(-7 - 1). Let f be 14/6 + (-2)/y. Solve f*i + 0*i + 8 = 0 for i.
-4
Suppose -c + 4*c = 0. Suppose -2*u - 3*u + 15 = c. Suppose 0*m + u*m = 0. Solve 0 = -2*d - m*d + 6 for d.
3
Suppose -4*y + 55 = -4*d + 19, 0 = y - 5*d - 29. Solve y*m = -15 + 3 for m.
-3
Suppose f = -3*o + 12, f + 4 = 4*o - 5. Suppose o*l + j - 8 = 2*j, -4*l + 2*j + 10 = 0. Solve -l = -3*s - 15 for s.
-4
Let a(u) = -u**3 - 10*u**2 - 17*u + 1. Let h be a(-8). Solve 6*d + 21 = -h for d.
-5
Suppose 4*w + 6*w = 30. Suppose -w*f - c = 4*c + 14, -4*f + 16 = -2*c. Solve s + 3 = f*s for s.
3
Let y be (-4)/2*(1 - 5). Let m(t) = t + 7. Let d be m(-1). Suppose -64 = -d*n - 4. Solve -3*g + y*g - n = 0 for g.
2
Let c = -18 + 24. Suppose -p + 0*u - u - c = 0, -p - 9 = 4*u. Let m = 8 + p. Solve 2*f - 1 = m*f for f.
-1
Let z = -107 - -177. Let u = z + -68. Solve -7*j + 25 = -u*j for j.
5
Let a be (2/10)/((-1199)/110 + 11). Solve 12 = 6*s - a*s for s.
3
Suppose 3 - 12 = -9*f. Solve 0 = 3*z - 2 - f for z.
1
Let o be (-3 + 3)/(-2 - (-2)/(-2)). Let r = o + 8. Solve -3*s + r = s for s.
2
Let p(j) = -3*j**2 + 6*j - 4. Let x be p(4). Let d be (-7)/x + ((-350)/(-8))/5. Solve -d = -4*k - 21 for k.
-3
Suppose r - 13*c - 8 = -9*c, c + 77 = 4*r. Let z(t) = t - 1. Let q be z(3). Solve -r = 7*j - q*j for j.
-4
Let p = -8 + 12. Suppose 4 + 8 = p*j. Let r be -19*(-3)/6*2. Solve j = 4*n + r for n.
-4
Let n(m) = 3*m**2 - m + 0 - 4 + 2 + 6*m. Let d be n(-2). Solve d = a + 2*a + 3 for a.
-1
Let g = 14 - 10. Let z(v) be the second derivative of v**5/20 - 2*v**4/3 + 4*v**3/3 - v**2/2 + v. Let x be z(7). Solve g*l - l = -x for l.
-2
Let r = -12 + 18. Suppose 2*q - 3*v = 7*q - 14, -2*v + r = 0. Solve -q = -4*k - 5 for k.
-1
Suppose 79*s - 14 = 72*s. Solve 0 = s*x + 12 - 4 for x.
-4
Let v be 0/(-2 - 1)*(-79)/(-316). Suppose 2*z + 3*z - 5 = 0. Let c be (-3)/(0 - (0 + z)). Solve v = -c*p - p - 4 for p.
-1
Let s(i) be the third derivative of i**5/60 - i**4/24 - 13*i**3/2 + 27*i**2. Let y be s(-6). Solve -3*j + 4*j = -y for j.
-3
Suppose -5*a + a + 4 = 0. Suppose 71 = 3*q + 2*t + 8, 0 = 2*q - t - 49. Suppose 2*v = q - 15. Solve a = i + v for i.
-3
Suppose -g - 1 = -0. Let w be (9/1 - g) + -3. Let l be (4 + 0)*(w + -6). Solve 0 = -2*s + s - l for s.
-4
Let d(c) = 2*c**2 + 45*c + 64. Let q be d(-21). Solve -3 = 2*n - q for n.
-1
Suppose 48*j - 7 + 7 = 0. Let u be ((-10)/(-4) + -1)*2. Solve -p + u = -j*p for p.
3
Let s(n) = 3*n - 64. Let t be s(25). Solve -13*h + 10 = -t*h for h.
5
Suppose -x + 69 = 4*z, -5*x = z - 856 + 530. Solve -2 = 21*l - x for l.
3
Suppose -2*k - 7 = 1. Let z be 46/6 - k/(-6). Suppose 3*g = z*g. Solve g*d + 2 = -d for d.
-2
Let b be (-5)/(25/(-10)) - 14. Let q = b - -14. Solve d = 3 + q for d.
5
Let p(j) = 4*j**3 + 17*j**2 + 3*j + 2. Let v be p(-
|
{
"pile_set_name": "DM Mathematics"
}
|
uence xe.
3/68
Four letters picked without replacement from {a: 1, w: 1, y: 1, m: 1, q: 1}. Give prob of sequence yyqy.
0
Calculate prob of sequence cbc when three letters picked without replacement from rrrrerreeerbcceee.
1/2040
Calculate prob of sequence mh when two letters picked without replacement from {m: 3, h: 5}.
15/56
Three letters picked without replacement from {b: 1, i: 1, q: 1, l: 2, y: 1, j: 2}. Give prob of sequence lyb.
1/168
Four letters picked without replacement from xgylbbt. What is prob of sequence gbxl?
1/420
Two letters picked without replacement from {b: 3, k: 1, e: 1}. What is prob of sequence ek?
1/20
Three letters picked without replacement from aptpntsrptn. Give prob of sequence tts.
1/165
What is prob of sequence iiko when four letters picked without replacement from poppkopppbpipppipo?
1/12240
Calculate prob of sequence ris when three letters picked without replacement from {w: 1, h: 3, r: 2, x: 1, i: 2, s: 3}.
1/110
Two letters picked without replacement from {w: 1, g: 8, s: 2, v: 2}. Give prob of sequence sg.
4/39
Two letters picked without replacement from {w: 1, z: 2, j: 1, y: 2, x: 1, i: 1}. Give prob of sequence yz.
1/14
Calculate prob of sequence xwe when three letters picked without replacement from xxwwexwe.
3/56
Four letters picked without replacement from apnperrrrerareprp. What is prob of sequence aeer?
1/680
Two letters picked without replacement from encneooecoogezo. What is prob of sequence cc?
1/105
Calculate prob of sequence jj when two letters picked without replacement from qjqj.
1/6
Two letters picked without replacement from hpxwwxxwwxwxww. What is prob of sequence xx?
10/91
What is prob of sequence wl when two letters picked without replacement from plwelw?
2/15
What is prob of sequence tb when two letters picked without replacement from ootywgwotggogbgyyg?
1/153
Three letters picked without replacement from {w: 12, a: 1, y: 7}. What is prob of sequence wya?
7/570
Calculate prob of sequence tot when three letters picked without replacement from {s: 2, t: 2, o: 2}.
1/30
Four letters picked without replacement from xxxxxbbxbxxxxxx. What is prob of sequence xbbb?
1/455
What is prob of sequence asx when three letters picked without replacement from ppaxaxpaasxxasao?
1/70
Two letters picked without replacement from {q: 1, x: 1, n: 1}. What is prob of sequence nq?
1/6
Calculate prob of sequence ii when two letters picked without replacement from {p: 2, f: 4, t: 4, i: 5}.
2/21
Calculate prob of sequence ssks when four letters picked without replacement from skkkkkkskkkkkkkssks.
35/3876
Three letters picked without replacement from eeqiireiiireiieeei. Give prob of sequence iei.
49/612
Calculate prob of sequence vk when two letters picked without replacement from {d: 2, u: 1, v: 4, k: 2}.
1/9
Calculate prob of sequence phh when three letters picked without replacement from {p: 1, x: 2, h: 4, w: 7}.
1/182
What is prob of sequence wc when two letters picked without replacement from {e: 3, o: 1, c: 2, w: 6}?
1/11
Calculate prob of sequence bll when three letters picked without replacement from {k: 6, l: 4, b: 3, j: 1}.
3/182
Three letters picked without replacement from neofcii. What is prob of sequence eno?
1/210
Three letters picked without replacement from {k: 3, h: 6, o: 6}. What is prob of sequence ooo?
4/91
What is prob of sequence ss when two letters picked without replacement from nssssssssn?
28/45
What is prob of sequence ss when two letters picked without replacement from {c: 1, s: 7}?
3/4
Calculate prob of sequence ldd when three letters picked without replacement from lldldddddd.
7/40
What is prob of sequence kkk when three letters picked without replacement from kkjjkj?
1/20
Two letters picked without replacement from {m: 3, a: 13}. What is prob of sequence mm?
1/40
Three letters picked without replacement from sbbebwzswswbkwzwz. What is prob of sequence swb?
1/68
Four letters picked without replacement from {i: 3, p: 1, r: 2, j: 5, n: 1}. What is prob of sequence jrij?
1/99
Calculate prob of sequence jk when two letters picked without replacement from vjvkjvkkvk.
4/45
Four letters picked without replacement from tbmvtmbvm. Give prob of sequence vmmt.
1/126
Three letters picked without replacement from stdid. What is prob of sequence dds?
1/30
Calculate prob of sequence sscs when four letters picked without replacement from cyycccyyccsssyyyyc.
7/12240
What is prob of sequence pmmp when four letters picked without replacement from msmpmpmmsmmmsssmssmm?
11/5814
Three letters picked without replacement from {v: 1, o: 1, l: 1, q: 1, t: 1}. Give prob of sequence vto.
1/60
Four letters picked without replacement from {d: 8, e: 6, o: 1}. What is prob of sequence oded?
2/195
Calculate prob of sequence gd when two letters picked without replacement from {d: 1, o: 1, g: 2}.
1/6
Three letters picked without replacement from {m: 3, f: 1, l: 3, n: 3, g: 3, b: 2}. What is prob of sequence fnm?
3/910
Four letters picked without replacement from vcvcvvvvlxlccv. Give prob of sequence lcvx.
1/429
Calculate prob of sequence vbbv when four letters picked without replacement from {b: 2, v: 3, a: 1, u: 1}.
1/70
Two letters picked without replacement from wvwwikvwvwv. Give prob of sequence wv.
2/11
What is prob of sequence jnn when three letters picked without replacement from {o: 1, j: 1, n: 2, d: 1}?
1/30
Four letters picked without replacement from {n: 4, s: 6, c: 10}. Give prob of sequence snsc.
10/969
Two letters picked without replacement from {y: 1, r: 2, b: 3, m: 1}. What is prob of sequence yr?
1/21
Calculate prob of sequence pppa when four letters picked without replacement from {a: 10, p: 9}.
35/646
Calculate prob of sequence mqm when three letters picked without replacement from qqqmqqmqqqqqqmq.
12/455
Two letters picked without replacement from {x: 4, g: 7}. Give prob of sequence gx.
14/55
Four letters picked without replacement from {o: 3, t: 3, z: 2, q: 1, i: 3, j: 1}. Give prob of sequence ztot.
3/1430
Calculate prob of sequence hsc when three letters picked without replacement from {h: 11, c: 1, s: 6}.
11/816
Calculate prob of sequence vatf when four letters picked without replacement from ffefeffjttvjjeaafee.
1/3876
What is prob of sequence pfhn when four letters picked without replacement from {f: 1, h: 1, n: 1, g: 2, y: 2, p: 1}?
1/1680
Three letters picked without replacement from {n: 4, r: 6, y: 2}. Give prob of sequence rrn.
1/11
Three letters picked without replacement from xxxkxxkxxxxxxxxxkxgg. Give prob of sequence xgk.
1/76
What is prob of sequence xlb when three letters picked without replacement from xllbbffbbx?
1/45
Three letters picked without replacement from {k: 10, r: 6, f: 2}. What is prob of sequence rrr?
5/204
Calculate prob of sequence bcb when three letters picked without replacement from {b: 14, c: 1}.
1/15
What is prob of sequence ss when two letters picked without replacement from jsoauajg?
0
Three letters picked without replacement from {z: 1, l: 7, v: 2}. Give prob of sequence vvz.
1/360
What is prob of sequence ss when two letters picked without replacement from {b: 2, a: 2, d: 4, o: 1, s: 1}?
0
Calculate prob of sequence uhuq when four letters picked without replacement from {r: 1, u: 11, e: 1, h: 2, q: 2, t: 2}.
55/11628
What is prob of sequence hm when two letters picked without replacement from hmheeeeeheme?
1/22
What is prob of sequence lj when two letters picked without replacement from {v: 1, j: 5, k: 1, l: 2}?
5/36
Calculate prob of sequence bglb when four letters picked without replacement from bgbbglbg.
3/140
Four letters picked without replacement from ieggaieigeegpega. What is prob of sequence gpeg?
5/2184
Calculate prob of sequence iz when two letters picked without replacement from ioooiifzmf.
1/30
What is prob of sequence msym when four letters picked without replacement from {u: 2, y: 8, m: 2, s: 3, e: 2}?
1/1190
Calculate prob of sequence zx when two letters picked without replacement from xxzxxzszxsxsxxxszxx.
22/171
Two letters picked without replacement from {m: 2, r: 3, j: 1, t: 1}. What is prob of sequence rr?
1/7
Three letters picked without replacement from yomymossosomoss. Give prob of sequence yoo.
4/273
Two letters picked without replaceme
|
{
"pile_set_name": "DM Mathematics"
}
|
1 + (5 - 4)) a prime number?
False
Let n be 2/(-8) - 1118/8. Let t = -71 - n. Suppose u - 4*u + t = 0. Is u a prime number?
True
Let q(y) = y**2 - y - 4. Let v(u) = 3*u**3. Let w be v(1). Let p be q(w). Is ((-2)/(-2))/(p/70) composite?
True
Let b(t) = -t**2 + 9*t - 11. Let u be b(9). Let s = -7 - u. Suppose -103 + 19 = -s*h. Is h composite?
True
Let v = 339 + -116. Is v composite?
False
Is 0 + (-6)/(-2) - (-538)/1 prime?
True
Suppose 2*s = -2*s + 24. Suppose 0 = 2*z - 3*z + 14. Is (z/3)/(s/9) composite?
False
Is 0 + 247 + 2 + 0 a prime number?
False
Let v(w) = w**3 - 7*w**2 + w + 7. Suppose 0 = m - 6*m + 15. Suppose a - 2*h + 7*h - 18 = 0, 30 = m*a + 3*h. Is v(a) composite?
False
Let b be (-1244)/(-10) - (-14)/(-35). Suppose g - b = -3*g. Is g composite?
False
Suppose -5*p + 5*g = -615, 3*p - 4*g - 373 = -3*g. Suppose b + 2*c = 32 + p, 0 = -5*b + 2*c + 737. Is b composite?
False
Let n = 2824 - -411. Is n composite?
True
Let l = 7 + 268. Let w(r) = r**3 + 11*r**2 + 9*r - 8. Let y be w(-10). Suppose -y*n + 7*n - l = 0. Is n a prime number?
False
Let u be -1*(-3 + 1 - -2). Suppose -w + 3*o - 10 = -0*w, 3*o - 8 = 2*w. Suppose -5*v - d + 395 = u, 4*v - w*d - 316 = -0*d. Is v prime?
True
Suppose 3*f - 4*f = 1, 2*k = -2*f + 2078. Suppose -n - 7*g + 507 = -2*g, -2*n + k = -3*g. Is n prime?
False
Suppose 0 = -6*t + 4*t - 4*v + 1314, -v = -2*t + 1339. Is t composite?
True
Let i(t) = -t**3 - t**2 + 2*t - 204. Let d be i(0). Let c = d + 523. Is c composite?
True
Suppose -2*h + 5*l + 20 = 0, 12 = -0*h - 5*h - 3*l. Suppose h = g - 6*g + 110. Is g a prime number?
False
Suppose -4*q = 221 + 1263. Let x = 916 + q. Suppose 64 = -2*t - 3*l + 278, 5*l - x = -5*t. Is t prime?
True
Let t = 28 - -30. Is t prime?
False
Suppose 3*q - 16 = -q. Suppose q*f + 5*l = 41, 0*l = -3*f - 3*l + 27. Is ((-7)/(-2))/(2/f) a composite number?
False
Let t(b) = -b**3 - 9*b**2 - 9*b - 4. Let p be t(-8). Let s be 4 + p*(-3)/6. Let m = s - -7. Is m a composite number?
True
Let n(m) = -3*m**3 + 2*m**2 + 13*m - 17. Is n(-8) composite?
False
Let l = -3 - -2. Is l*1*(-88)/8 a composite number?
False
Let o(d) = 15*d - 5. Let q(n) = 16*n - 6. Let y(p) = 7*o(p) - 6*q(p). Is y(6) a composite number?
True
Let h(g) = 5*g**3 + g**2 - g + 1. Let k be h(1). Let u(s) = -s**2 + 10*s - 5. Is u(k) composite?
False
Suppose 2*x + 924 = 7*x + 3*h, x - 180 = h. Is x a composite number?
True
Let f(o) = -15*o - 3. Let s(j) = 22*j + 4. Let y(d) = 7*f(d) + 5*s(d). Let c = 7 + -4. Is y(c) a prime number?
False
Let p = 10 - 5. Let b = p + -6. Is 35 - (b - (0 - 3)) a composite number?
True
Suppose -x - v + 425 = -977, 3*v = -x + 1408. Is x a composite number?
False
Let i(k) = 49*k**2 + 5*k - 13. Is i(3) composite?
False
Let l(c) = c**2 - 21*c - 5. Is l(-21) composite?
False
Suppose 0*t + 5*t - 200 = 0. Let k = -17 + -4. Let j = k + t. Is j a prime number?
True
Let c(j) = j**2 - 3*j + 2. Let w be c(4). Suppose w*q = 5*q + 57. Suppose -q + 438 = 3*i. Is i a composite number?
False
Let r = 65 - 31. Is r prime?
False
Let v = -13 - -17. Let j(c) = 7*c**3 - 5*c**2 + 2*c - 5. Is j(v) a composite number?
True
Let p(f) = 16*f**2 + 23*f + 31. Is p(12) a composite number?
True
Let o be 302 + (-2)/(0 - -2). Let i = o - 144. Is i a prime number?
True
Suppose -178 - 7 = -5*n. Suppose -3*y - n = -4*y. Is y composite?
False
Suppose 764 = -2*p + 6*p. Is p composite?
False
Let r(h) = -h**2 + h + 3. Let d be r(0). Suppose -2*x = 5*p - 237, -d*p = x - 4*x + 408. Is x a prime number?
True
Suppose -4*f - 10 = -6*f. Is 3/f + 742/5 a composite number?
False
Is (-2*(-3)/(-9))/((-4)/10938) composite?
False
Let r(f) = -f**3 - 4*f**2 - 7*f + 11. Is r(-4) composite?
True
Let l be 4/(-6) + (-7530)/(-9). Let f be l/14 + (-2)/(-7). Suppose 35 = 5*s - f. Is s prime?
True
Is (-2)/(-7) + (-1970)/(-14) prime?
False
Let s = -10 + 22. Is (1 + s)/(2/14) prime?
False
Let p = -177 - -271. Is p composite?
True
Is 1567 - (4/22 + (-126)/(-33)) a composite number?
True
Let w be ((-12)/(-9) + 2)*-3. Is (-584)/w - (-2)/(-5) a composite number?
True
Suppose -4*p - 12*p = -14512. Is p composite?
False
Is 1*11626*(-4)/(-8) composite?
False
Let x = 6 + -4. Suppose -34 - 34 = -2*w - z, -4*z - 78 = -x*w. Is w prime?
False
Suppose -5*w - 5160 = -5*m + 1540, -6740 = -5*m - 3*w. Suppose 4*g - 1304 = -5*y, -m - 285 = -5*g + 3*y. Is 3/(-15) + g/5 a prime number?
False
Let s = 12 + -17. Let q = s - -9. Is (q/(-12))/(2/(-222)) a composite number?
False
Is (-2)/4*2*(-324 - -1) a composite number?
True
Let g be (707/14)/(1/2). Let d = 166 - g. Is d prime?
False
Let h(n) = -6*n**2 + n - 2. Let b = 2 - -1. Let x be h(b). Let d = 74 + x. Is d composite?
True
Let h(d) = 3*d**2 - d. Let z be h(1). Let s be (-10)/(-10)*(-16)/z. Is (0 + -4)/(s/6) composite?
False
Is (-2 - -60)/(2/3) prime?
False
Suppose 8*w = 3*w + 20. Suppose -w*f + 0*f = -764. Is f a prime number?
True
Let t = 11 + -8. Suppose -j = -2*x - 245, -2*j + t*j = 3*x + 242. Is j a prime number?
True
Suppose 3*l = -5*c + 4, -5*c - 2*l + 6 = -0*l. Is 2/c - -36*1 prime?
True
Is (3126/(-18))/((-1)/(-3))*-1 composite?
False
Let b = 4 + 0. Suppose -b*f + 232 = -3*x, -2*x + 174 = -f + 4*f. Suppose 4*p + f = 654. Is p a prime number?
True
Let d(s) = s**3 - 2*s**2 + 8*s + 3. Let q be d(6). Suppose m = 4*m + 4*g - q, 0 = -m + 4*g + 65. Suppose m = 4*j - 23. Is j composite?
True
Is 214948/36 - 1*(-6)/27 a composite number?
True
Suppose 7*s + 398 - 20845 = 0. Is s a composite number?
True
Suppose -t - 64 = -d, 261 = 4*d - 8*t + 3*t. Is d prime?
True
Let k(p) be the second derivative of p**6/120 - p**5/30 + p**4/12 - p**3/2 + p**2/2 - p. Let x(z) be the first derivative of k(z). Is x(4) a composite number?
False
Let c(j) = j**2 - 6. Let y(t) = -2*t**2 - t + 7. Let b(f) = -4*c(f) - 3*y(f). Let i be b(-3). Suppose 8*k = 4*k + i. Is k prime?
True
Suppose -3*s - b = -1146, -s - 3*b = -3*s + 753. Is s composite?
True
Suppose -s + 1 + 22 = 0. Let u = -43 + s. Let y = -14 - u. Is y prime?
False
Let d = -53 - -90. Is d a composite number?
False
Let p = 2415 + -1321. Is p a composite number?
True
Let v be 2*(-4)/(8/(-5)). Suppose 0 = v*i - i - 2212. Is i a prime number?
False
Let x(l) = 4*l**2 + 8*l. Suppose -2 = t - 5*w + 4, -6 = t + 2*w. Let u be x(t). Suppose -2*h + 34 = -u. Is h prime?
False
Let a be -1 - (3 + -2 - 3). Let n(b) = a - 2 + 30*b + 5*b. Is n(1) composite?
True
Let o = -62 - -65. Suppose 3*c - 13 = -2*v, 0*c + 2*c = 5*v - 23. Is c/((-1)/(-74)) + o composite?
True
Suppose -2*b - 3 = -2*h + 1, 4*h = b - 4. Let a be 5*(1 - 3 - b). Let y(n) = 2*n - 7. Is y(a) a composite number?
False
Suppose 2*r + 2*t - 28 = 0, -5*r - 4*t + 79 - 13 = 0. Let f(d) = -d + 11. Let a be f(r). Is 12 + a - (0 - 0) composite?
False
Suppose 2*g - y - 7 = -2*y, -3*y = 4*g - 17. Let r be (-2)/(-3) - g/3. Suppose -2*h + h + 65 = r. Is h a composite number?
True
Let i(r) = -7*r - 1. Let n be i(11). Let y be n/(-18) - (-1)/(-3). Suppose 0 = g - b - 14, 2*g = g + 3*b + y. Is g prime?
True
Let g = 11 + -6. Suppose 2*c + 3*w - 11 = -96, g*w + 210 = -5*c. Is (-1)/(-3) - c/3 prime?
False
Let z(t) = -t**3 + 6*t**2 - 7*t + 1. Let q be z(5). Is (42/q)/((-6)/27) prime?
False
Let z be (-3 - 1) + (-97)/(-1). Suppose 0 = 2*k - 275 + z. Is k a composite number?
True
Suppose -n - 2 = 4. Let g = 16 + n. Is g composite?
True
Suppose 3*k + 5*p = 7767, 5*k + 5*p - 8*p = 12945. Is k a composite number?
True
Suppose 0 = k + 3*y - 16, -3*k = 5*y + 11 - 47. Suppose -3*i - 2*d = -k*d - 29, d = -2*i + 2. Is (-2)/i + (-46)/(-6) a prime number?
True
Let l = 775 + -456. Is l prime?
False
Let m be (-2 + 4)*(-2)/(-1). Suppose 0 = m*h - h - 12. Suppose -5 = -5*j, -h*g + g + 3*j = -3. Is g a prime number?
True
Let k(t) = -t**3 + 15*t**2 - 13*t - 19. Let s be k(14). Let l(d) = 6*d**2 - 8*d - 5. Is l(s) prime?
False
Let m = -10 + 18. Let u(o) = 4*o + 7. Is u(m) prime?
False
Let t(u) = u**3 + 4*u**2 + 3*u + 4. Let m be t(-3). Let l = m - -73. Is l a prime number?
False
Suppose 2*c = 5*c - 27. Is c composite?
True
Let w = -11 - -8. Is w/(-6)*(134 + 0) a composite number?
False
Let m be (-42)/(-4) - (-2)/4. Suppose 4*y - m = 5*c, -2*y + c + 15 = 2*y. Suppose 2*f = y*f - 94. Is f a composite number?
False
Let a = 2523 - -184. Is a a composite number?
False
Let n(p) be the first derivative o
|
{
"pile_set_name": "DM Mathematics"
}
|
-7 + 0 + -63.
-56
What is the value of (14 - 1 - (50 - -16)) + 1?
-52
Evaluate -5 + 3 + (-1 - (22 - 0)).
-25
Calculate 64 + -63 + 16 - (5 + -7 + 87).
-68
Calculate 23 - (-13 - (-3 - 12)) - 43.
-22
What is the value of ((2 - (-14 + 9)) + -18 - (-25 + 3)) + 38?
49
(-102 - -141) + 8 + -15 + -9
23
Evaluate -4 + -77 - -16 - (-3 + -13 + 6).
-55
Calculate (-16 + 27 + -18 + 7 - -13) + -2 + 10.
21
Evaluate -8 - (0 - -4 - (0 + (-6 - (5 - 12)))).
-11
-19 + 9 - -20 - (11 - (-6 + -9))
-16
33010 + -32940 + (-7 - 2) + 1
62
What is the value of (40 + -20 + -1 + 7 - -7) + 13?
46
8 + -1 + -70 + (115 - 124)
-72
What is 226 + -76 + 95 + -128?
117
What is -62 - (21 - (-11 - -21) - (-2 + -1))?
-76
Calculate -55 + -59 + (322 - 134).
74
(-13 - (-12 + 0)) + (20 - (58 + 23))
-62
(26 - -4) + -36 - (-3 + 8 - -19)
-30
What is the value of 106 + -104 + 10 + (7 - -1)?
20
Evaluate -19 + (-2 + -11 + 7 - (6 + -5)).
-26
Calculate -113 + (-27 + 41 - -27).
-72
What is -19 + (-18 - -119 - -25)?
107
What is -26 + (-12 - (49 + -79))?
-8
(-123 - -98) + (-16 - -3 - -33)
-5
Calculate -2 - -13 - (7 - -5) - (6 - 10) - 35.
-32
-35 + -8 - (-53 + -18)
28
-5 + -3 + 12 + (-1 - (2 + 4) - -1)
-2
What is -16 + (14 - 11) - (-55 + 21 - 11)?
32
Calculate -4 + -82 - (-2 - (21 + -29) - (1 + 11)).
-80
What is -4 + 3 - ((16 - 23) + 10) - -10 - -8?
14
What is -23 + (40 - -1) + -45?
-27
What is the value of (-93 - -40 - -187) + -53?
81
Calculate 53 - (-49 - -34 - -55) - (0 + -3).
16
What is (27 - 41 - -15) + -1 + 13 + -1?
12
Calculate -11 - (30 - 19 - 5) - -19.
2
-9437 + 9445 - (1 + 58 + 0)
-51
What is 51 + 36 - ((1 - 0 - 1) + 11) - 4?
72
Evaluate (-43 - 42 - -103) + 62.
80
Evaluate 1 + 28 + -1229 + 1250.
50
What is the value of (-22 - (5 - -3 - 18)) + 3 + 16?
7
What is 355 - 382 - (-121 + 8)?
86
What is the value of -8 + -58 + (1379 - 1331)?
-18
What is -85 + (-2 - (23 + 9 + -15))?
-104
What is the value of -110 + 339 + -128 + -61?
40
Evaluate 898 + -850 - (-2 - -15).
35
Evaluate (44 - 3) + (-5 + -25 + 9 - -9).
29
Calculate 169 + -84 - (-1 - 25 - (17 + -28)).
100
What is the value of -27 - (-77 - (46 - (-27 + 39)))?
84
Calculate 30 - (41 + 5 + -29).
13
Evaluate 85 + 7 + -39 + -36.
17
What is the value of (32 - -2) + (-30 - -12) - 72?
-56
(36 - (-16 - -52)) + (2 - -1 - -77)
80
64 + (-12 - (6 - (6 + -6 + 4)))
50
-14 - (-103 - ((18 - 5) + -16 + -19))
67
(83 - -11) + 3 + (-10 - 11) - -20
96
Calculate 0 + (-5 - (2 - 7)) - ((-4 - 17) + -57).
78
Evaluate -22 + -33 + (166 - 25) - (0 + 10).
76
Evaluate -23 + (5 + 3 - ((-6 - -7) + -4)) + 0.
-12
What is the value of -125 + 122 + -90 + 0 - 40?
-133
Calculate -9 - 5 - (-136 - -93 - (-7 + 1)).
23
Evaluate 57 - 39 - (50 + -19) - (-6 + 36).
-43
What is 16 + (21 - 20) + -61 + (1 - 2) + 8?
-37
What is 31 + 4 + -6 + 0 + (-1 - 11)?
17
What is 22 + ((-23 - -54) + -12 - 28)?
13
-4 - (-408 + 419 - (-1 + (11 - 0)))
-5
4 + (-17 + -17 - 41)
-71
Calculate -63 - ((-12 - -1) + (-43 + 93 - 23)).
-79
(4 - 86) + 6 - ((-7 - (-30 + -19)) + -27)
-91
Calculate 29 - 21 - (-12 + 3 + 4).
13
19 + (-24 - (10 - 57))
42
Evaluate -8 - (-6 + -6 + (-50 - -4) + 14 + -4).
40
Calculate 12 - ((4 - -46) + -10).
-28
What is (57 - (37 + 28)) + (2 + 0 - 0) + 9?
3
What is the value of -4 + 9 - (-43 + (-4 - 7 - -4) + 3)?
52
What is 0 + -126 + (-3 - 10 - -33 - 5 - 25)?
-136
97 - (-45 + 128) - (-1 - -29)
-14
4 + 24 + 0 - 10 - (47 - -24)
-53
(-79 + 103 - (-20 + 1)) + 16 - -1
60
Evaluate 7 - (16 - -5) - (31 - (-6 + 7)).
-44
What is the value of -3 - (-31 + 15 - -15 - (-43 - 1))?
-46
Calculate -27 + (-2038 + 2046 - (-1 + -3 + 7)).
-22
What is the value of (3 - -5) + 31 - 0 - (64 - 86)?
61
Evaluate -4 - (-89 + (65 - 37)).
57
333 + -126 - 52 - 97
58
What is 27 + (-19 - (11 - -2)) - -29?
24
Evaluate -61 - (3 + (-3 - -1) + (-26 - (-41 + 7))).
-70
Calculate (66 - -14) + -92 + 42.
30
What is (2 - (10 + -8) - -63) + (9 - 6) + -12?
54
What is 1 - -16 - (37 + (-61 - -42))?
-1
Evaluate (-5 - (3 - 6)) + (6 - 7 - 5) + 71.
63
What is the value of 59 + (-343 - -106) + 73?
-105
9 + (-15 - 1) + (-82 - -163)
74
15 + -1 + -31 + 30 + -48
-35
What is -1 - -8 - ((74 - 21 - 12) + -24)?
-10
What is the value of 49 + -10 + (4 - (-8 + -2)) + -7 - 2?
44
(100 - (0 + 16 + 274 + -276)) + -10
76
Evaluate 1 + (22 - (-13 - (3 - (25 + -1 - 10)))).
25
What is the value of 115 + -208 + 34 + 141?
82
Evaluate (364 - 339) + (-49 - -8).
-16
12300 + -12261 - (0 + 29 - -1)
9
Evaluate (1 - -11) + -4794 + 4800.
18
-12 + 39 + -24 + 26 + 15
44
What is the value of 0 + 8 + (-186 - -151) + (32 - -1) + -29?
-23
Evaluate 4 - (2 + 40 + 54 + -40).
-52
Calculate -4 + 1 + -55 + 70 + 35.
47
Calculate -110 + (113 - 64 - -41).
-20
What is the value of (-5 - -3) + 1 + 95 + -21 + 37 + -7?
103
What is 0 - (3 + -18) - (26 - 24) - (-13 + 116)?
-90
(-4 - (1 - 2)) + (-20 - (-68 + 55))
-10
Calculate -1 + -124 - (-49 + 28 - (0 - 36) - 21).
-119
Calculate -23 + (-40 - (4 + -27)) + 2 + 4.
-34
Evaluate 1 + 3 + -12 + 8 + -16 + -31.
-47
What is the value of -5 + -17 + (-4 - -3) - (28 + 39 + -65)?
-25
Evaluate -9 + (-6 - 7) + -13 - (0 + (0 - 0)).
-35
Evaluate (15 - -21) + (-49 - -14) + 21.
22
Calculate -26 - (-8 + (-20 - -27) - -22).
-47
What is (-76 + 32 + 32 - (4 + -1)) + 55?
40
Evaluate 40 + 46 + -17 + 27 - 25.
71
What is the value of ((-10 - -33) + 23 - -3) + (-2 - 3)?
44
Evaluate -29 + 3 - (-53 - -8 - -47).
-28
-58 - (-16 - -40) - -67
-15
What is the value of 51 - -1 - (56 + 25 - 70)?
41
Evaluate (-8 - -5) + 7 + 1 + -435 + 441.
11
What is 39 + -10 - (-147 + 148)?
28
Calculate (18 - 31 - 9 - -3) + (0 - 11).
-30
Evaluate -16 - (-122 + 148 + -70).
28
-10 + (-8 - (-3 + -33)) + 45 + -37
26
What is 99 + -196 + 188 + -93?
-2
Calculate 1609 - 1551 - (91 - 0).
-33
What is -4 - (-52 - 3) - (22 + -8 + -1)?
38
Calculate -25 - -16 - (-89 + (5 - 1) + (35 - 27)).
68
What is -106 + (-12 - (-94 + -120))?
96
What is the value of 37 - (-41 - ((14 - 21) + 0))?
71
Calculate -288 + 35 + 273 - (104 + -2 + 1).
-83
Evaluate -24 + (-22 - (-28 - -12)) + -14.
-44
Evaluate 8 + 6 + -18 + 3 + 2 - 27.
-26
Calculate 18 + 1 + -1 - (-401 + 396) - -12.
35
-67 - (10 + (-4 - 7) + 21)
-87
-5 + 1 + (1301 - 1299)
-2
What is the value of (-4 - 0) + 110 + -138 + 26?
-6
Evaluate -97 + (-10 + 3 + 0 - (35 - 32)).
-107
Evaluate -107 + 74 + -75 + 9.
-99
What is -89 + -11 + -19 + 30 - -11?
-78
What is 40 - -25 - (24 + -33)?
74
Evaluate -28 + 93 - (18 - (13 + -1 - 13)).
46
Evaluate 24 + (7 - -12) + -25 + -17.
1
What is the value of 13 - (-8 - (-28 - (-10 + -10)))?
13
What is the value of (182 - 146) + (-19 - 5) - 51?
-39
What is the value of (20 + -2 - 17 - 91) + 29?
-61
-19 + 30 + -36 + (5 - 5)
-25
Calculate (-64 - (75 - 12)) + 6 + 1 + -1.
-121
Calculate -22 + 4 - -4 - (39 + (-45 - -4)) - -132.
120
Evaluate 58 + (-4 - -4 - 8) + (-148 - -145).
47
Evaluate -47 - ((-23 - 0) + (4 - 12) + 20).
-36
What is the value of -72 - 17 - (-26 + -114)?
51
What is 11 - (-23 - 0 - 0)?
34
Evaluate 0 + 38 - (-2548 - -2528).
58
Evaluate (3 - (5 - 3)) + -22 + 57 + (-1 - 2).
33
Calculate (-15 - (-7 - -16) - -24) + (-78 - -9).
-69
Calculate -2 + 2 + -1 - (32 + (25 - 88)).
30
What is the value of -56 - ((-9 + (15 - -7) - 12) + -11)?
-46
Evaluate (79 + -5 - (-78 - -89)) + 2 + -1.
64
Calculate -6 + (18 - 7) + -51 + 10.
-36
Evaluate -21 - (-3 + -9) - 3 - 5 - (-3 + 8).
-22
Evaluate (-67 - (60 - 107)) + 3.
-17
What is (5 - -13) + -8 - (-2 + 12 + 1)?
-1
What is -5 + (-12 - -14) + 13 - (44 + -1 + -1)?
-32
(30 + 6 + -8 - 14) + -190 + 72
-104
Evaluate (-9 + (-10 - (-15 - 2)) + -10 - -6) + -108.
-114
Evaluate 12 - -23 - (43 - -11).
-19
Calculate 57 - (8 - (-5 - -4)) - (-6 + (13 - 8)).
49
Evaluate -160 + (18 + 50 - -60).
-32
What is -100 - 49 - -170 - (145 + -1)?
-123
Calculate (-1 - -7 - -79) + 3 + 1028 + -1006.
110
Calculate (-200 - -190) + 0 + 90 - (49 + -50).
81
Calculate -343 + 165 + 163 + 25 + 0.
10
Calculate -74 + -18 + 3 + 9 + 17.
-63
Evaluate (-7 + -16 - -78) + -25 - -26.
56
What is -2 + 83 - (-19 + (-21 + 23 - -6))?
92
Evaluate (16 - -16) + (-29 - 15) + -9.
-21
8 + (-51 - -20) + 1 + 17
-5
Evaluate (9 - 1) + -1 + -56 + 525 + -499.
-23
What is (-7 - (-25 + 12)) + -6 + 0?
0
Evaluate 59 + 2 + (-37 - (-29 + 16)).
37
(-40 - -100 - 25) + -65
-30
Evaluate (-38 - (46 + -60)) + 1 + 8 + -32.
-47
-14 + -129 + 8 - -24 - (11 - 0)
-122
Evaluate (-123 - -84) +
|
{
"pile_set_name": "DM Mathematics"
}
|
-5*x - r = 5*s for s.
-3
Suppose 2*x - r - 6 = -2*r, 0 = -5*x + r + 22. Solve -2*t = -3*c + 16, x*t + 10 = -9*c + 4*c for c.
2
Suppose -5*k = -3*n - 3*k + 40, 3*k + 35 = 2*n. Solve -2*u = m + 5, 7*m - 5*u + n = 2*m for m.
-3
Let z = -9 + 17. Solve 4*x = k + 3*k + z, -x + 4*k + 8 = 0 for x.
0
Let u be 0/2*(-2)/(-4). Suppose -3*s + 2*s + 1 = u. Solve 3*w = 7*w, 0 = -t - 2*w - s for t.
-1
Let k = 13 + -8. Solve -2*m - k*c = -14, -2*c + 4 = -3*m + 3*c for m.
2
Let u = 24 + -21. Solve 4*n - 3*h = 7*n + u, 0 = -2*n + 4*h + 10 for n.
1
Let i = -3 + 5. Solve -5*l = 5*f + 20, 0 = 4*f - 3*l + l - i for f.
-1
Let d be 2 + (2 - (-1 + 6)). Let j(g) = 2*g**3 + g**2 - 2*g + 2. Let q be j(1). Let k = q + d. Solve 4*h + 9 = 5*m, 2*h + m - 1 = -k for h.
-1
Let h be 4/6 - 292/(-12). Suppose 5*a - p = 15, p = -4*p - h. Solve -3*o = -4*i - a, 5*o + 5*i + 18 = o for o.
-2
Let z be (0 - (-5 - -2)) + 9. Solve 0 = -3*m + z, 2*g + 0*m - 6 = -m for g.
1
Let i = 1 - 1. Suppose i = -3*t - 2 + 14. Let b be (t*-4)/(0 + -2). Solve 0*y + 2*d = -y + 4, 3*d + b = 2*y for y.
4
Let w = 101 + -98. Solve -4*m - 3*k = 14, -m - w*k + 0 = -1 for m.
-5
Let k = -7 + 13. Suppose -3*t - 51 = -3*i, -2*t + 22 = 2*i - 0*t. Let q be 2/3 + i/6. Solve -3*r + k = 3*y, r = -3*y - q + 15 for y.
5
Let g(w) = w**2 - 7*w + 2. Let j be g(7). Let z(r) = 2*r**3 + 0*r**3 + 1 - 2*r**2 - 2 - r. Let f be z(j). Solve o - 7 = -4*o - 2*a, f*a - 8 = -3*o for o.
1
Suppose -5*m + 11 = 3*k + 47, 5*k + 16 = -m. Let c = -3 - m. Let i(b) = 2*b**2 + 3*b + 1. Let v be i(-2). Solve v*h = c*u + u - 12, 3*h + 9 = 3*u for h.
0
Suppose -13*k + 8*k + q + 85 = 0, -2*k + 5*q + 57 = 0. Solve 5*d + k = 2*t + t, -d = 2 for t.
2
Let o(w) = w**2 + 9*w + 4. Suppose 7*p - 3*p = -36. Let r be o(p). Solve -19 = m - r*d, 8 = 5*m + d - 2 for m.
1
Suppose 0 + 5 = 2*l + 5*p, -l = 2*p - 3. Suppose l*m - 25 = -5*k, -2*k = 5*m - 7 - 18. Solve 0 = 2*q - 2*d - 16, q - m = 3*d + 13 for q.
3
Suppose -3*t = -t + 5*d - 9, -t - 4*d = 0. Let k = t + -9. Solve 5*b = 5, 5*f + k*b + 16 = -b for f.
-4
Suppose -3*t = 5 + 4, -13 = -2*u + 3*t. Let a = 7 + -2. Solve 8 = -a*n - 3*z + 30, n - u*z + 6 = 0 for n.
2
Let y be (-2 - 4)*6/(-4). Suppose -l = 7 - y. Solve -3*m + 15 = 3*o, 4*m - 6 = -l*o + 4 for m.
0
Let m = -7 - -12. Solve 5*p - 4*d = -d - 15, 0 = 2*p + d - m for p.
0
Suppose 3*y = -4*m - 4, 0 = m - 4*y + 11 - 29. Solve -5*k - 5*p - 24 = -m*k, 3*k - 5*p - 6 = 0 for k.
-3
Let i = 70 + -68. Solve 3*m + 30 = -2*m + 5*k, -i*m + 8 = 2*k for m.
-1
Suppose -5*v = -v - 16. Suppose 2*u + 10 = 7*u. Let o = 5 - u. Solve -o*h = -2*t - 23, t + v*h - 11 = 5 for t.
-4
Let t be 2/(-4) - 10/(-4). Suppose -y = -t*y + 2. Let x be 1/(y - 3/2). Solve a = o - x*a + 2, 4*o = -2*a - 8 for o.
-2
Let n be (-9)/(-27)*6/(-3)*-6. Let w = -9 - -29. Solve -g + 6*g + w = 3*r, -2*r - n*g = -6 for r.
5
Let q = -20 - -20. Solve 4*x = -5*m + 4, 5*m + 5*x + q*x = 0 for m.
4
Suppose 17 = 3*d - 2*k, 2*d - 3*k - 18 = -d. Suppose -d*p = -0*p - 5. Solve -5*m - r = -3*r - 15, 4*m + r = -p for m.
1
Let d = 20 - 49. Let g = -15 - d. Suppose k + 3*w = -8, -2*k = 2*w - 0*w. Solve -f + k*f + 4*t + g = 0, 8 = -4*t for f.
-2
Suppose -7*v + 6 = -29. Solve -c + 6 = -v*u - 5*c, -2 = -u - 4*c for u.
-2
Let j(a) = 11*a - 52. Let k be j(5). Solve 2*z = -2, -3*m - k*z + 4*z = 14 for m.
-5
Let o be (2/6)/(1/87). Suppose -o = -5*v - 4*f, -v = 3*v + 4*f - 24. Solve -3*z - 1 = 4*m, 3*z - 1 + 0 = -v*m for m.
2
Suppose -3*z = -4*n + 128, 3*n - 3*z + 15 = 114. Let f = n - 5. Suppose t - 2 - 3 = -3*s, -s - 15 = -3*t. Solve j = r - 8, -t*j + 4*r - 12 = f for j.
-4
Let g = 13 + 9. Solve 2*c = -3*c + 25, 3*j + g = 2*c for j.
-4
Let u be -1 + (9 - 4) - -1. Solve 15 = p + 4*i - 0, u*p - 2*i - 9 = 0 for p.
3
Suppose 27*t - 37*t = -10. Solve 0 = h + 3*j + j + 6, j + t = 0 for h.
-2
Let w be (22/(-6))/((-2)/6). Let r = 16 - w. Let h be (-1)/r - (-21)/5. Solve -h*x - 16 = -4*k, -3*x + 3*k + 2*k = 12 for x.
-4
Suppose 14*w + 0*w - 252 = 0. Solve i = -3*i + 3*g + w, -g + 13 = 5*i for i.
3
Let d = -19 + 17. Let k(p) = -p**3 - 2*p**2 - 2*p - 1. Let f be k(d). Solve 2*a + a + f*y + 6 = 0, 15 = -3*y for a.
3
Let i(f) = f**3 - 7*f**2 - 9*f + 11. Let g = 15 - 7. Let p be i(g). Solve -5*t + 2*k = 6 - p, -5*t + 5*k = 0 for t.
-1
Let j(s) = s**3 - 8*s**2 - 9*s + 4. Let h be j(9). Suppose -h*t + 98 = -2. Solve 6*i = -g + i + t, g + 2*i - 13 = 0 for g.
5
Suppose 5*f = -5*j, 5*j - 9*j + 5*f = -27. Solve 4*l + j*b = 23 - 1, -b + 6 = l for l.
4
Let v(h) = -h**2 + 6*h. Let w(z) = z**3 - 10*z**2 + 11*z - 13. Let g be w(9). Let a be v(g). Solve -5*x - 3*q - 10 = 0, -41 + 11 = x - a*q for x.
-5
Let i(g) = g**3 - 3*g**2 - 3*g - 3. Let x be i(4). Let w = 1 + x. Suppose w*s + s - 6 = 0. Solve l - 8 = -2*m, 10 = s*m + 2*l + 2 for m.
4
Let x(y) be the first derivative of -y**3/3 + 2*y**2 + 5*y - 1. Let w = 33 + -28. Let j be x(w). Solve 4*a + t = 19, j = 3*a + t + 4*t - 27 for a.
4
Suppose 0 = 5*c - 4*z + 116, -4*c + 5*z = z + 92. Let m be (-23)/(-5) + c/40. Solve -18 - 6 = 3*d + 3*q, m*d + q = -20 for d.
-4
Let t(q) be the second derivative of q**3/6 - 2*q**2 + 2*q. Let w be t(4). Solve -5*f - 8 + w = 3*x, 0 = -f + x for f.
-1
Let k be (1 - 2)/(-1)*4. Solve 5*r - 14 - 36 = 5*j, r = k*j + 25 for j.
-5
Let t(g) = -2*g + 9. Let c be t(3). Solve -2*y = -r - 1, -8*y + c*y = -r - 7 for r.
3
Let f(d) = -2*d - 21. Let v be f(-13). Solve 0 = v*m + 4*p - 13 - 23, -5*m - 3*p + 32 = 0 for m.
4
Let x be 21 + 1/((-1)/2). Suppose -o = 2*o - s - x, s = o - 5. Suppose -3 = -5*h + 7. Solve -o*a + 2*d = -h*a - 1, -4*a + d = -2 for a.
1
Let p = 56 + -51. Solve p*h + 2*g + 23 = 0, -h - g = 2*h + 13 for h.
-3
Let i = 25 - 22. Solve 3*k - i*f = -2*k - 1, k + 2*f = 5 for k.
1
Let t be ((-10)/3)/((-2)/9). Suppose 0*c - 9 = -3*l + 3*c, -5*c = 2*l + t. Suppose 10 = 5*x - 15. Solve 10 = 3*v - n - l, x*n - 4 = -3*v for v.
3
Suppose 5*y = 3*x - 15, 4*y + x + 12 = -x. Let j(s) = -4*s + 89 - 89. Let r be j(y). Solve 5*l - 2*l = 3*n + 12, -3*n - 3*l - r = 0 for n.
-4
Suppose -2*d = -0*d. Suppose 4 = 4*q, -u - 3*q + 9 = 2*u. Let g = 2 - u. Solve -2*v + 2*z + 13 - 5 = d, -v - z = g for v.
2
Let p be (-9)/(3/12*-3). Suppose 5*l - p = l. Suppose 0 = -l*i + 4*b + 5 + 19, 3 = 3*i + 3*b. Solve -9 = j + 5*n, i*j + n + n = -18 for j.
-4
Suppose 0 = -7*l + 3*l - 3*j, 3*l - 2*j - 17 = 0. Solve -l*b = -5*u + 7, 1 = -5*b - 2*u + 10 for b.
1
Let l(d) = -d + 23. Let w be l(18). Suppose 147 + 7 = 5*a - 4*j, 27 = a + 3*j. Suppose w*f = -5 + a. Solve 2*q - q = -5*g + 17, -4*q - f*g = -8 for q.
-3
Let s = 3 + -11. Let y = 11 + s. Solve -y*v - 10 = c + c, -3*v = 3*c + 9 for v.
-4
Let t be 5 + (-5 - -2) + 0. Suppose 2*g = -t*m + 14, 8*m - 5*m = 2*g + 6. Solve 5*a = -5*y, -2*y + y - 8 = g*a for a.
-4
Suppose 4*t - 5*t = -2. Suppose 4*n = -t*g + 16, -3*g + 24 - 4 = 5*n. Solve g = -l + 2*w - 4, 5*l + 2*w = -w + 32 for l.
4
Let u be (2/3)/(6/(-36)). Let x = u + 8. Solve 0*o + o + 2 = -3*d, -x*o = -3*d - 7 for d.
-1
Suppose -10 = -21*x + 20*x. Solve 4*j - 3*y + 14 = -4*y, -3*j - y - x = 0 for j.
-4
Let i be (3 - (4 - 2))*-1. Let n(c) = -4*c**3 + 2*c**2 + c. Let d be n(i). Solve 4*s - 5*q - 24 = 0, -d*s - 4*q + q - 7 = 0 for s.
1
Let f be (3/3)/(1/7). Let y(z) = z**2 - 7*z + 4. Let c be y(f). Solve -b - 8 = -5*i - c*b, 3*i + 2*b = 5 for i.
1
Let p = -29 + 47. Suppose 4*g + 16 = 2*w, 0 = -2*w - 2*w + g + p. Suppose w*x - 24 = 24. Solve -5*j + b - x = 0, 6*b - b = 4*j - 3 for j.
-3
Let j = -7 + 22. Let q = 9 - j. Let b be 1/((-1 + -1)/q). Solve 5*p - 2*g + 5*g + 5 = 0, 7 = -4*p - b*g for p.
2
Let f be 5*(9/(-3) - -2). Let j = 9 + f. Let x = 0 + 5. Solve -x*h - 2*o = -10, -3*o = -j*o for h.
2
Let q(p) = 9*p**3 - p**2 - 3*p**2 + 3*p**2 - 3*p**3. Let n be q(1). Solve 6*b - b = 10, 16 = -2*s + n*b for s.
-3
Let n be (8/(-5) + 1)*(-150)/30. Solve -n*i - 1 = k, i + i = 4*k + 4 for k.
-1
Suppose 66 + 144 = -3*x. Let o = -49 - x. Solve -25 = 5*i + 5*u, -4*u - o + 2 = 3*i for i.
-1
Suppose -7*g - 35 = -14*g. Let x = 1 - -2. Solve -j - 4*k = -x, 3*j + k + 6 = g*j for j.
3
Suppose -3*k = -8 - 1. Solve 0*n - k*n = -c + 7, -c - n - 5 = 0 for c.
-2
Suppose 0 = -10*n + 5*n + 10. Let g be (-80)/(-44) - 2 - (-2)/11. Solve g = -3*f + 12, -n*h + f - 8 - 2 = 0 for h.
-3
Let n(d) = -2*d**3 + 11*d**2 - 6*d + 8. Let u be n(5
|
{
"pile_set_name": "DM Mathematics"
}
|
2, 664, 816?
w**3 + 2*w**2 - w + 382
What is the v'th term of -1682, -3359, -5034, -6707, -8378, -10047?
v**2 - 1680*v - 3
What is the d'th term of 75, 90, 105, 114, 111, 90, 45, -30?
-d**3 + 6*d**2 + 4*d + 66
What is the u'th term of 112, 104, 74, 10, -100, -268?
-2*u**3 + u**2 + 3*u + 110
What is the b'th term of -127, -438, -953, -1672, -2595?
-102*b**2 - 5*b - 20
What is the k'th term of -17, -36, -53, -56, -33, 28, 139, 312?
2*k**3 - 11*k**2 - 8
What is the w'th term of 137, 259, 381, 503?
122*w + 15
What is the a'th term of -15, -77, -179, -321?
-20*a**2 - 2*a + 7
What is the w'th term of 71, 598, 2041, 4862, 9523?
77*w**3 - 4*w**2 - 2
What is the t'th term of 22, 58, 110, 178, 262, 362, 478?
8*t**2 + 12*t + 2
What is the o'th term of 29, 34, 39, 44, 49?
5*o + 24
What is the y'th term of 649, 1307, 1965, 2623, 3281, 3939?
658*y - 9
What is the q'th term of 2, -2, -16, -46, -98, -178, -292?
-q**3 + q**2 + 2
What is the b'th term of -3, 1, 19, 57, 121, 217?
b**3 + b**2 - 6*b + 1
What is the l'th term of 9, 49, 121, 225, 361, 529, 729?
16*l**2 - 8*l + 1
What is the h'th term of -13, -82, -211, -412, -697, -1078, -1567, -2176?
-2*h**3 - 18*h**2 - h + 8
What is the l'th term of -770, -762, -756, -752, -750?
-l**2 + 11*l - 780
What is the k'th term of -204, -408, -612, -816, -1020?
-204*k
What is the a'th term of 180, 359, 538?
179*a + 1
What is the p'th term of 2353, 4707, 7061, 9415, 11769, 14123?
2354*p - 1
What is the v'th term of -453, -467, -481, -495, -509, -523?
-14*v - 439
What is the p'th term of -296, -298, -302, -308, -316, -326, -338?
-p**2 + p - 296
What is the x'th term of 280, 278, 278, 280, 284?
x**2 - 5*x + 284
What is the l'th term of -25, -54, -95, -142, -189, -230, -259?
l**3 - 12*l**2 - 14
What is the q'th term of 3887, 3884, 3881, 3878?
-3*q + 3890
What is the m'th term of 325, 316, 303, 286, 265?
-2*m**2 - 3*m + 330
What is the w'th term of 2999, 3000, 3001?
w + 2998
What is the m'th term of -36, -143, -328, -597, -956?
-m**3 - 33*m**2 - m - 1
What is the i'th term of -39, -58, -75, -90, -103, -114?
i**2 - 22*i - 18
What is the y'th term of 63, 105, 133, 141, 123, 73?
-y**3 - y**2 + 52*y + 13
What is the k'th term of 16, -218, -862, -2120, -4196, -7294, -11618, -17372?
-34*k**3 - k**2 + 7*k + 44
What is the y'th term of -235, -503, -781, -1075, -1391?
-y**3 + y**2 - 264*y + 29
What is the g'th term of -35, -33, -31, -29, -27?
2*g - 37
What is the a'th term of -46, -93, -156, -223, -282, -321?
2*a**3 - 20*a**2 - a - 27
What is the l'th term of -53, -123, -215, -329?
-11*l**2 - 37*l - 5
What is the a'th term of 7, -4, -39, -110, -229, -408?
-2*a**3 + 3*a + 6
What is the m'th term of -41, -54, -65, -74?
m**2 - 16*m - 26
What is the n'th term of 111, 134, 157, 180?
23*n + 88
What is the l'th term of -35, -79, -123, -167?
-44*l + 9
What is the l'th term of -1815, -1830, -1871, -1950, -2079?
-2*l**3 - l**2 + 2*l - 1814
What is the i'th term of 28, 33, 50, 85, 144, 233?
i**3 - 2*i + 29
What is the g'th term of 1148, 1141, 1120, 1079, 1012, 913, 776, 595?
-g**3 - g**2 + 3*g + 1147
What is the x'th term of -44, -93, -144, -197, -252, -309, -368?
-x**2 - 46*x + 3
What is the i'th term of -488, -979, -1472, -1967?
-i**2 - 488*i + 1
What is the p'th term of 53, 88, 121, 152, 181?
-p**2 + 38*p + 16
What is the j'th term of 38, 8, -34, -88?
-6*j**2 - 12*j + 56
What is the p'th term of -53, -70, -99, -140, -193, -258, -335?
-6*p**2 + p - 48
What is the w'th term of -52, -165, -336, -565, -852, -1197, -1600?
-29*w**2 - 26*w + 3
What is the z'th term of -113, -121, -129, -137, -145?
-8*z - 105
What is the j'th term of -15, -34, -53?
-19*j + 4
What is the u'th term of -749, -748, -745, -740, -733, -724?
u**2 - 2*u - 748
What is the l'th term of -26, -127, -372, -833, -1582?
-12*l**3 - 17*l + 3
What is the a'th term of 1709, 1712, 1717, 1724, 1733, 1744, 1757?
a**2 + 1708
What is the t'th term of 41, 70, 119, 188?
10*t**2 - t + 32
What is the d'th term of -669, -676, -683?
-7*d - 662
What is the j'th term of 4, -7, -34, -83, -160, -271, -422?
-j**3 - 2*j**2 + 2*j + 5
What is the y'th term of 278, 284, 294, 308, 326, 348, 374?
2*y**2 + 276
What is the v'th term of -29, -128, -297, -536, -845, -1224, -1673?
-35*v**2 + 6*v
What is the n'th term of 7, 21, 35?
14*n - 7
What is the d'th term of -102, -95, -74, -33, 34, 133?
d**3 + d**2 - 3*d - 101
What is the v'th term of 23, -7, -97, -277, -577, -1027?
-5*v**3 + 5*v + 23
What is the q'th term of 10, 44, 106, 208, 362?
2*q**3 + 2*q**2 + 14*q - 8
What is the f'th term of 1931, 1934, 1937, 1940?
3*f + 1928
What is the q'th term of -360, -712, -1064, -1416, -1768?
-352*q - 8
What is the w'th term of 985, 3935, 8851, 15733, 24581, 35395, 48175?
983*w**2 + w + 1
What is the c'th term of 90, 98, 106, 114, 122, 130?
8*c + 82
What is the v'th term of -9, -14, -21, -30, -41, -54?
-v**2 - 2*v - 6
What is the p'th term of 117, 120, 127, 138?
2*p**2 - 3*p + 118
What is the t'th term of -39, -35, -31?
4*t - 43
What is the c'th term of 20, 16, 2, -28, -80, -160?
-c**3 + c**2 + 20
What is the t'th term of 2027, 2026, 2025, 2024?
-t + 2028
What is the s'th term of 2069, 4138, 6207, 8276?
2069*s
What is the f'th term of -1785, -3576, -5367?
-1791*f + 6
What is the c'th term of -10379, -10384, -10391, -10400?
-c**2 - 2*c - 10376
What is the v'th term of 13, 55, 131, 259, 457, 743?
3*v**3 - v**2 + 24*v - 13
What is the y'th term of -39, -69, -127, -219, -351, -529?
-y**3 - 8*y**2 + y - 31
What is the q'th term of -48, -36, -12, 30, 96, 192?
q**3 + 5*q - 54
What is the t'th term of -1, -31, -123, -307, -613, -1071, -1711, -2563?
-5*t**3 - t**2 + 8*t - 3
What is the i'th term of -19, -72, -127, -184, -243, -304, -367?
-i**2 - 50*i + 32
What is the s'th term of 42, 41, 40?
-s + 43
What is the y'th term of -59, -170, -281, -392?
-111*y + 52
What is the m'th term of 59, 70, 93, 134, 199, 294?
m**3 + 4*m + 54
What is the v'th term of 81, 157, 231, 303, 373, 441, 507?
-v**2 + 79*v + 3
What is the h'th term of 503, 1011, 1521, 2033, 2547, 3063?
h**2 + 505*h - 3
What is the o'th term of 136, 133, 126, 115?
-2*o**2 + 3*o + 135
What is the t'th term of -15, -13, -11, -9?
2*t - 17
What is the z'th term of 30, 46, 62, 78, 94, 110?
16*z + 14
What is the d'th term of -3, 2, 19, 54, 113?
d**3 - 2*d - 2
What is the g'th term of -41, -45, -37, -11, 39, 119, 235, 393?
g**3 - 11*g - 31
What is the c'th term of 198, 177, 130, 45, -90, -287, -558?
-2*c**3 - c**2 - 4*c + 205
What is the t'th term of -658, -683, -708, -733, -758?
-25*t - 633
What is the b'th term of -470, -471, -472, -473?
-b - 469
What is the s'th term of 11, 13, 17, 23, 31?
s**2 - s + 11
What is the v'th term of 85, 88, 91, 94?
3*v + 82
What is the y'th term of -18, -24, -32, -42, -54, -68, -84?
-y**2 - 3*y - 14
What is the g'th term of -124, -112, -100, -88, -76, -64?
12*g - 136
What is the c'th term of 43, 63, 105, 175, 279, 423, 613?
c**3 + 5*c**2 - 2*c + 39
What is the x'th term of 914, 913, 912?
-x + 915
What is the o'th term of 20, 11, -10, -49, -112, -205, -334?
-o**3 - 2*o + 23
What is the s'th term of 13293, 13294, 13295, 13296, 13297, 13298?
s + 13292
What is the i'th term of 2, -13, -42, -85, -142, -213?
-7*i**2 + 6*i + 3
What is the c'th term of -180, -361, -544, -729, -916, -1105?
-c**2 - 178*c - 1
What is the x'th term of -329, -332, -335?
-3*x - 326
What is the y'th term of -1338, -1316, -1268, -1182, -1046, -848, -576?
2*y**3 + y**2 + 5*y - 1346
What is the s'th term of -4189, -4185, -4181?
4*s - 4193
What is the b'th term of -70, -62, -38, 8, 82, 190?
b**3 + 2*b**2 - 5*b - 68
What is the t'th term of -11, -22, -61, -134, -247, -406, -617, -886?
-t**3 - 8*t**2 + 20*t - 22
What is the k'th term of 357, 360, 365, 372?
k**2 + 356
What is the q'th term of -3746, -3749, -3754, -3761, -3770, -3781?
-q**2 - 3745
What is the i'th term of -9, -12, -31, -72, -141, -244, -387?
-i**3 - 2*i**2 + 10*i - 16
What is the l'th term of 410, 813, 1216, 1619, 2022?
403*l + 7
What is the t'th term of -199, -197, -199, -205, -215, -229, -247?
-2*t**2 + 8*t - 205
What is the o'th term of -18700, -18701, -18702, -18703, -18704, -18705?
-o - 18699
What is the r'th term of 7, 31, 63, 97, 127, 147, 151?
-r**3 + 10*r**2 + r - 3
What is the m'th term of 5117, 5113, 5109, 5105,
|
{
"pile_set_name": "DM Mathematics"
}
|
11*g - 73*g. Let b = -0.06 + -2.94. Let j = b - -4. What is the smallest value in g, 3/7, j?
g
Let h be ((-2)/(-6))/(-7 - 742/(-105)). Let l = -0.078 - -1.078. Which is the third biggest value? (a) -0.3 (b) 3 (c) l (d) h
c
Let o = -0.36 - -0.06. Let t = -0.248 - -0.448. Which is the fourth smallest value? (a) 2 (b) o (c) t (d) 5
d
Let d = 699/37 + -19. Let n = 108743 - 36211457/333. Let v = d + n. Which is the biggest value? (a) 0.3 (b) -0.3 (c) v
a
Let d be (-2)/11 + 5 + 192/(-33). Which is the second biggest value? (a) d (b) -2/49 (c) 0.1
b
Let f = 30 + -59. Let y = f + 26. Let q = -2 + y. Which is the second smallest value? (a) 0.2 (b) q (c) 0.19
c
Let f(z) = -z**2 + 9*z + 12. Let y be f(11). Let v be ((-48)/y)/(6/(-20)). Let x be 3 + v/12 + -1. What is the second biggest value in 1, -1, x?
x
Let v = -15 - -17. Suppose -v*s + 1 = -7. Suppose 0 = 4*h, 0*i + 4*i = s*h + 12. Which is the third biggest value? (a) i (b) 1.2 (c) -1
c
Let j = 1.4 + 1.6. Let i = 256 + -257. What is the biggest value in j, i, -8?
j
Let n = -2.7 - -2.3. Suppose 0 = -3*w - w + 2*s + 8, 0 = -2*w - 2*s - 8. What is the fourth smallest value in 5, 4, w, n?
5
Let t = 0.0101 + -0.2101. Let h = 0.07 - -3.93. Let d be 5*(-2)/35*3. What is the second biggest value in h, t, d?
t
Let q = 0.345 - -0.655. Which is the second biggest value? (a) q (b) -0.02 (c) -2/13 (d) -0.4
b
Let t = 22/27 + -17/54. What is the fourth biggest value in -2, -978, 0.2, t?
-978
Let k be (116/36 - 3) + 89/(-279). Let y = k + -22/93. Let q = -71/12 + 29/4. Which is the second biggest value? (a) q (b) y (c) 2
a
Let r(w) = -w**2 + w + 1. Let t be r(3). Let h = -2932.9 - -2933. Which is the second smallest value? (a) 3 (b) h (c) t
b
Let d = 0 + -2. Let p = 2587/7779 - -2/2593. Which is the third biggest value? (a) p (b) 1 (c) d
c
Let g be (2 - 2) + (-1)/(-2). Let b = 0 + g. What is the third biggest value in b, -3, 2?
-3
Suppose -7*t = 26 - 40. Let n = 0.1 + -0.5. What is the third biggest value in t, -0.1, n, 0.1?
-0.1
Let i = -28.48 + 28. Let t = 0.08 + i. Let o = 87 + -177/2. What is the biggest value in t, o, 1/4?
1/4
Let i be 53/5 + (-18)/30. Let y be 26/5 - 2/i. What is the second biggest value in -0.4, 0.2, y?
0.2
Let f = -78.4 - -75. Let v = -1.37 + -0.03. Let r = v - f. Which is the smallest value? (a) r (b) -0.3 (c) -4
c
Let m = 38.05 - 38. Let q = -0.25 + m. What is the second smallest value in q, 3/2, 6?
3/2
Let m = -62 + 98. Let q = m + -32. Let f = -0.06 - -0.46. Which is the second smallest value? (a) f (b) 0.3 (c) q
a
Suppose 0 = -39*c + 1111 + 137. What is the second biggest value in 2/11, -1, -3, c?
2/11
Suppose 2*r - o - 13 = -10, o + 4 = 3*r. Which is the third smallest value? (a) r (b) 5 (c) -5.6
b
Let z = -1621 + 1616. Which is the second biggest value? (a) 1/7 (b) z (c) -0.41 (d) -0.3
d
Let o = 1.889 + 0.111. Let r be -2 - (1 + (-22)/8). Which is the second biggest value? (a) r (b) -5 (c) o
a
Let t = -17.4 - -17. Which is the third biggest value? (a) 16.4 (b) t (c) -0.5
c
Let z = -5.31 - -5.31. What is the second smallest value in z, -0.1, 0.01, -3?
-0.1
Let f be (-2)/1 - 276/(-45). Let c = -14/5 + f. What is the smallest value in -0.4, c, 4?
-0.4
Let h be -1*(4/16 - 0). Let i be 15/12 + (2 - 10/4). What is the fourth biggest value in h, i, -3, 1/4?
-3
Let o be 5 + (-7 - -3) + 2. Let t be (154/(-21))/((-2)/(-9)*o). Which is the smallest value? (a) 0.3 (b) 5 (c) t
c
Let g(y) = 6*y + 5. Let z be g(-4). Let k = -14 - z. Let j = 0.8 - -1.2. Which is the biggest value? (a) -1 (b) k (c) j
b
Let u = 0 - 0.07. Let h = -0.43 + u. Let l = -19 - -21. Which is the third biggest value? (a) h (b) l (c) 5
a
Let u = 82 - 80. Let f = 2.19 + 1.89. Let q = f + -0.08. What is the second smallest value in q, -2/3, u?
u
Let v(t) = t**2 + 11*t + 2. Suppose -2*p - 2*c - 18 = 0, -6*p + 5*c = -p + 65. Let w be v(p). What is the third smallest value in 1, w, 3/5, 4/7?
1
Let h be 11/(-2) - (8 - 12). Which is the second biggest value? (a) -3 (b) 0.03 (c) h (d) -2
c
Let r = -383 + 383.2. What is the biggest value in 9, -4, r, 11?
11
Let j(r) = 4*r**2 + 17*r - 7. Let u be j(-5). What is the smallest value in u, 2, 0.2?
0.2
Let m be (-11233)/1195 - (-3 - -2)*9. Let q = -2.4 + 0.4. Let i = -2.5 - q. Which is the second smallest value? (a) m (b) i (c) -5
b
Let k = 10.936 + -10.9. Let t = k + -4.036. Which is the third biggest value? (a) -1 (b) -1.3 (c) 0.1 (d) t
b
Let m(y) be the first derivative of -y**2/2 - 2*y + 1. Let t be m(-4). Let a be t + 11/(-6)*1. What is the smallest value in a, 5/2, 0.5?
a
Let h = -0.1 - -0.1. Let s be (-2 - -4)*-1*-6. Let k be s/(-30)*(-1)/2. Which is the third smallest value? (a) k (b) -6 (c) h
a
Let v be (4 - 87/21)/((-30)/(-42) + 1). Let x be -1*2*2/4. Which is the third smallest value? (a) x (b) v (c) -3
b
Let x = 32 - 51. Let w = x + 14. What is the third biggest value in -1/5, -1, 4, w?
-1
Suppose 0 = -4*s - 3*w + 6, 4*s = -0*w + w - 2. Let f be (-14)/(-2) - s - 3. Let t = f + -4. What is the biggest value in 5, 0.1, t?
5
Let a = 11 - 11. What is the second biggest value in 2, 1/6, 2/7, a?
2/7
Let z = -0.95 + 1. Let l = -926 + 930. Which is the fourth biggest value? (a) l (b) -1 (c) 0.5 (d) z
b
Let m = -108 + 77. Let w = -27 - m. What is the fourth smallest value in 5, 1, w, 2?
5
Suppose -10 = 3*s + w + 1, 0 = 3*s + 4*w + 8. Which is the third smallest value? (a) -0.5 (b) 9 (c) 5/3 (d) s
c
Let q(i) = -25*i - 454. Let v be q(-18). Which is the fourth biggest value? (a) 0.5 (b) 9 (c) v (d) -0.1
c
Let h be (-9)/(-3) - 3 - -2. Suppose 0 = h*b - 1 - 1. Let a be (0 - 6/(-15))/b. What is the third biggest value in 0, a, 3/5?
0
Suppose 0 = -5*r - 4*h - 133, -h = 5*r - 21 + 148. Let s = 0 + 25. Let w = s + r. Which is the smallest value? (a) 0.4 (b) w (c) -0.2
c
Let v = 0.0639 + 0.0361. Which is the second smallest value? (a) -1/2 (b) -0.4 (c) 3 (d) v
b
Let k = -133/8 - -129/8. What is the biggest value in 0, k, 18, 2/13?
18
Let i = 1.1192 - 0.1192. Let q be 3/30*(-3 + -1). Let m = -3 - -2.7. What is the third biggest value in i, q, m?
q
Let n(m) = -m**3 + 5*m**2 - 6*m + 2. Let h be n(2). Let l be (6*16/36)/h. What is the third biggest value in 0.07, l, 0?
0
Let r = 36 + 87. Let d be (-4)/(-12) - r/54. Let x = d - -13/6. Which is the third smallest value? (a) 3/4 (b) -4 (c) x
a
Let m = -26 - -15. Let f = -11 - m. Suppose 3*q = -3*s + 18, 10 = -5*q + 2*s + 3*s. Which is the third smallest value? (a) f (b) q (c) 4/5
b
Let k = 71 - 157. Let u = k + 93.8. Let v = u + -9. Which is the second smallest value? (a) -3 (b) v (c) -0.3
b
Let l = 0 + 4. Suppose 2*t = -3*f - 2, 0 = -f - 3*f + 4*t + l. Which is the third smallest value? (a) f (b) 4 (c) 11
c
Let g = 107 + -112. Which is the biggest value? (a) 0.4 (b) g (c) 13
c
Let y = 70 - 72.8. Let l = 0 + 3. Let h = y + l. Which is the third smallest value? (a) -4 (b) -4/3 (c) h
c
Let c = 265.316 + -0.316. What is the second smallest value in c, 1/2, 3/5?
3/5
Let s = 808 - 808.3. Which is the second biggest value? (a) -8 (b) s (c) -0.08
b
Let u = 334 - 333.95. Which is the second biggest value? (a) 4 (b) 1/7 (c) -2 (d) u
b
Let u be 1/2*(-4)/(-14). Let z be (-7 + 2)*-2*3/165. What is the second biggest value in 4, z, u?
z
Let i = 24/13 + -87/26. Which is the third smallest value? (a) -1.4 (b) i (c) 0
c
Let h = 13 + -28. Let n = h + 15.1. Let u = -108 - -106. Which is the second smallest value? (a) n (b) -4 (c) u
c
Let a = 71 - 98. Let u = 25 + a. Let x = 4.94 + 0.06. What is the second smallest value in u, -0.02, x?
-0.02
Let h = -52.8 + 53. Let g = -1.3 + 1.1. Which is the third biggest value? (a) g (b) h (c) 3/5
a
Let j = -753.28 + 753. What is the second biggest value in 5, j, 8?
5
Let r = 164/15 - 23512/2145. Let j = r + 322/1287. Which is the second smallest value? (a) j (b) 3 (c) -2/21
a
Suppose -4*s + 2*a + 62 - 234 = 0, -a - 229 = 5*s. What is the second biggest value in -5, s, 0.4?
-5
Let t(m) = -4*m**2 - 4*m + 10. Let a be t(5). Let o = 107 + a. Let k = -0.2 - -0.5. What is the second biggest value in o, k, 0.5?
k
Let p be (14/(-196))/((-1)/(-4)). Let s be 12/(-34)*-6 + -2. Which is the second smallest val
|
{
"pile_set_name": "DM Mathematics"
}
|
- 2*o.
2*o*(o - 3)**2*(o - 1)/9
Factor -2*o**5 + 2*o**4 + 6*o**3 - 10*o**2 + 4*o.
-2*o*(o - 1)**3*(o + 2)
Solve 5*b**2 + 1100*b = 0.
-220, 0
Let -6*s**4 - 21*s**3 - 18*s**2 = 0. What is s?
-2, -3/2, 0
Factor -2*z**4/9 + 124*z**3/9 + 130*z**2/3.
-2*z**2*(z - 65)*(z + 3)/9
Factor -2*t**3/7 - 3950*t**2/7 - 278898*t - 278334.
-2*(t + 1)*(t + 987)**2/7
Solve -2*l**3 + 8*l**2 - 8*l = 0.
0, 2
Factor -5*m**4 + 285*m**3 - 5415*m**2 + 34295*m.
-5*m*(m - 19)**3
Factor -5*a**3/3 - 62*a**2/3 + 41*a/3 + 26/3.
-(a - 1)*(a + 13)*(5*a + 2)/3
Suppose -u**2/4 - 3*u/2 - 5/4 = 0. What is u?
-5, -1
Find t such that -2*t**5 - 30*t**4 + 190*t**3 - 210*t**2 - 188*t + 240 = 0.
-20, -1, 1, 2, 3
Factor -2*k**4 - 90*k**3.
-2*k**3*(k + 45)
Factor -39*z**3 + 3*z**2/4.
-3*z**2*(52*z - 1)/4
Factor 3*o**5 + 24*o**4 + 48*o**3 - 48*o**2 - 240*o - 192.
3*(o - 2)*(o + 2)**3*(o + 4)
Suppose -2*v**4/11 - 2*v**3 - 38*v**2/11 - 18*v/11 = 0. Calculate v.
-9, -1, 0
Factor -2*x**2/11 - 232*x/11 + 234/11.
-2*(x - 1)*(x + 117)/11
Suppose 4*c**5 + 7*c**4 - 22*c**3 - 19*c**2 + 6*c = 0. Calculate c.
-3, -1, 0, 1/4, 2
Find l, given that 25*l**4/4 + 30*l**3 + 46*l**2 + 24*l + 4 = 0.
-2, -2/5
Factor -4*z**3 - 180*z**2 - 2652*z - 12716.
-4*(z + 11)*(z + 17)**2
Solve -63*k**3/4 + 7113*k**2/4 + 339*k/2 = 0.
-2/21, 0, 113
Determine b, given that b**3 + 19*b**2 + 50*b + 32 = 0.
-16, -2, -1
What is b in -35*b**5 + 45*b**4 + 410*b**3 - 1100*b**2 + 840*b - 160 = 0?
-4, 2/7, 1, 2
Factor 2*i**5 - 14*i**4 + 30*i**3 - 26*i**2 + 8*i.
2*i*(i - 4)*(i - 1)**3
Find p, given that -p**4 - 611*p**3 - 124236*p**2 - 8364816*p + 8489664 = 0.
-204, 1
Factor -x**3/4 - 299*x**2/4 + 151*x/2 + 150.
-(x - 2)*(x + 1)*(x + 300)/4
Solve 10*d**2 + 132*d + 26 = 0 for d.
-13, -1/5
Let -p**2/5 - 73*p/5 = 0. What is p?
-73, 0
Let -3*y**3 - 18*y**2 - 24*y = 0. What is y?
-4, -2, 0
Determine n, given that 3*n**5 - 57*n**4 + 297*n**3 - 243*n**2 = 0.
0, 1, 9
Solve -3*m**2/4 - 3*m/2 + 18 = 0.
-6, 4
What is c in -20*c**5 - 332*c**4 + 36*c**3 + 14780*c**2 + 8624*c - 5808 = 0?
-11, -1, 2/5, 6
Factor 4*c**3 + 8*c**2 - 96*c.
4*c*(c - 4)*(c + 6)
What is j in j**2/4 + 3*j/8 + 1/8 = 0?
-1, -1/2
What is p in 2*p**4/7 - 172*p**3/7 - 360*p**2/7 + 688*p/7 + 1408/7 = 0?
-2, 2, 88
Factor -b**5/8 + 9*b**4/8 + 8*b**3 + 11*b**2 - 6*b - 14.
-(b - 14)*(b - 1)*(b + 2)**3/8
Factor -4*s**2/5 + 696*s - 3476/5.
-4*(s - 869)*(s - 1)/5
Find i such that 3*i**3/7 - 633*i**2/7 = 0.
0, 211
Factor -10*d**4 - 65*d**3 - 30*d**2.
-5*d**2*(d + 6)*(2*d + 1)
Factor 2*u**2/19 - 36*u/19 + 162/19.
2*(u - 9)**2/19
Solve a**5/7 + 9*a**4/7 + 22*a**3/7 - 32*a/7 = 0 for a.
-4, -2, 0, 1
Factor q**5/6 - 17*q**4/6 + 31*q**3/6 - 5*q**2/2.
q**2*(q - 15)*(q - 1)**2/6
Factor y**3/4 + 1113*y**2/4 + 2223*y/4 + 1111/4.
(y + 1)**2*(y + 1111)/4
Factor -4*k**3 + 8*k**2 + 20*k - 24.
-4*(k - 3)*(k - 1)*(k + 2)
Determine g so that 2*g**3/3 + 10732*g**2/3 + 14396978*g/3 = 0.
-2683, 0
What is z in z**4/5 - 27*z**3/5 + 137*z**2/5 + 123*z + 90 = 0?
-2, -1, 15
Determine s, given that 3*s**5/4 + 57*s**4/4 + 189*s**3/2 + 243*s**2 + 162*s = 0.
-6, -1, 0
Factor f**3 + 140*f**2 - 283*f + 142.
(f - 1)**2*(f + 142)
Find o, given that -9*o**4 + 66*o**3 - 75*o**2 + 18*o = 0.
0, 1/3, 1, 6
Let -b**5/3 + 29*b**4/6 - 37*b**3/6 - 13*b**2/3 = 0. What is b?
-1/2, 0, 2, 13
Factor 2*g**3 + 194*g**2 - 394*g + 198.
2*(g - 1)**2*(g + 99)
Factor 31250*t**3/3 + 2500*t**2 + 200*t + 16/3.
2*(25*t + 2)**3/3
Determine x, given that 11*x**2/2 - 1913*x - 348 = 0.
-2/11, 348
Suppose 2*w**5/7 + 24*w**4/7 + 74*w**3/7 - 12*w**2/7 - 328*w/7 - 48 = 0. Calculate w.
-7, -3, -2, 2
Find g such that -125*g**3 - 40*g**2 + 125*g + 40 = 0.
-1, -8/25, 1
Factor 3*p**2/4 - 27.
3*(p - 6)*(p + 6)/4
Let -3*v**2/7 - 393*v/7 + 114 = 0. Calculate v.
-133, 2
Factor -20*l**2 - 9505*l - 2375.
-5*(l + 475)*(4*l + 1)
Factor 9*x**3 - 663*x**2 - 896*x - 300.
(x - 75)*(3*x + 2)**2
Factor -5*d**4 - 18710*d**3 - 23343840*d**2 - 9718806250*d - 9695481115.
-5*(d + 1)*(d + 1247)**3
Factor -y**4/4 + 7*y**3/4 - 7*y**2/2 + 2*y.
-y*(y - 4)*(y - 2)*(y - 1)/4
Suppose 3*u**4 + 3*u**3 - 69*u**2 + 9*u + 270 = 0. Calculate u.
-5, -2, 3
Find b such that -2*b**4/9 - 70*b**3/9 - 52*b**2 = 0.
-26, -9, 0
What is w in -12*w**2 + 6165*w + 1542 = 0?
-1/4, 514
Factor 4*x**3/7 - 436*x**2/7 - 1336*x/7 - 128.
4*(x - 112)*(x + 1)*(x + 2)/7
Factor j**3/2 + 35*j**2/2 - j/2 - 35/2.
(j - 1)*(j + 1)*(j + 35)/2
Factor -3*p**5/5 - 699*p**4/5 - 41754*p**3/5 - 121098*p**2/5 - 23943*p - 7935.
-3*(p + 1)**3*(p + 115)**2/5
Let -9*o**5 + 348*o**4 + 3093*o**3 - 2556*o**2 - 3084*o + 2208 = 0. What is o?
-8, -1, 2/3, 1, 46
Factor 3*j**2 - 492*j + 489.
3*(j - 163)*(j - 1)
Let 3*g**4 - 423*g**3 + 14256*g**2 + 46656*g = 0. Calculate g.
-3, 0, 72
Suppose y**5 + 17*y**4 + 78*y**3 + 140*y**2 + 88*y = 0. Calculate y.
-11, -2, 0
Determine a so that 5*a**2 + 230*a - 480 = 0.
-48, 2
Determine y so that 2*y**3/3 - 10*y**2/3 = 0.
0, 5
What is f in 2*f**5/19 - 48*f**4 + 908*f**3/19 + 48*f**2 - 910*f/19 = 0?
-1, 0, 1, 455
Factor -4*m**2 - 1408*m - 123904.
-4*(m + 176)**2
Factor v**4/4 + v**3/2 - 3*v**2 - 9*v/2 + 27/4.
(v - 3)*(v - 1)*(v + 3)**2/4
Determine v so that 2*v**4/3 - 2*v**3/3 - 46*v**2/3 - 26*v - 12 = 0.
-3, -1, 6
Let 2*s**5 - 6*s**4 = 0. What is s?
0, 3
Factor -4*u**5 - 148*u**4 - 1576*u**3 - 3880*u**2 - 3604*u - 1156.
-4*(u + 1)**3*(u + 17)**2
Factor 2*v**2 - 88*v + 86.
2*(v - 43)*(v - 1)
Factor g**2 + 22*g + 40.
(g + 2)*(g + 20)
Factor -j**2/6 - 41*j/3 - 272.
-(j + 34)*(j + 48)/6
Determine t so that 5*t**2 + 40*t - 2565 = 0.
-27, 19
Solve 3*b**2/5 + 249*b/5 - 252/5 = 0.
-84, 1
Factor 3*a**3 + 141*a**2 + 1026*a.
3*a*(a + 9)*(a + 38)
Factor -5*o**2 + 105*o + 1550.
-5*(o - 31)*(o + 10)
Factor -9*w**3 + 56*w**2 - 12*w.
-w*(w - 6)*(9*w - 2)
Solve 2*d**3/3 - 416*d**2/3 + 6142*d + 114996 = 0 for d.
-14, 111
What is s in -2*s**5/9 + 14*s**4/3 - 10*s**3/3 - 194*s**2/9 - 40*s/3 = 0?
-1, 0, 3, 20
Solve -36*z**5 - 12*z**4 + 83*z**3 + 14*z**2 - 49*z = 0.
-7/6, 0, 1
Factor r**2/2 + 2*r - 5/2.
(r - 1)*(r + 5)/2
Factor -3*b**2 - 180*b - 2193.
-3*(b + 17)*(b + 43)
Suppose -4*s**2 + 52*s + 56 = 0. Calculate s.
-1, 14
Let 3*h**3/4 + 3*h**2/2 - 87*h/4 + 63/2 = 0. Calculate h.
-7, 2, 3
Solve -500*s**5 - 625*s**4 + 1835*s**3/2 + 590*s**2 - 835*s/2 + 35 = 0.
-7/4, -1, 1/10, 2/5, 1
Factor -5*w**2 - 1305*w - 1300.
-5*(w + 1)*(w + 260)
Factor r**4 + 129*r**3 - 801*r**2 + 1215*r.
r*(r - 3)**2*(r + 135)
Factor -4*q**3 + 52*q**2 - 220*q + 300.
-4*(q - 5)**2*(q - 3)
Factor -p**5 + 2*p**4 + 29*p**3 + 46*p**2 - 20*p - 56.
-(p - 7)*(p - 1)*(p + 2)**3
Determine h so that 2*h**2 - 11012*h + 15158018 = 0.
2753
Suppose 3*z**5/5 - 6*z**4 + 87*z**3/5 - 96*z**2/5 + 36*z/5 = 0. Calculate z.
0, 1, 2, 6
Let -p**2/4 - 19*p/4 - 9/2 = 0. What is p?
-18, -1
Factor 3*q**2 + 366*q + 720.
3*(q + 2)*(q + 120)
Factor -2*z**3 + 400*z**2/3 + 1624*z/9 + 544/9.
-2*(z - 68)*(3*z + 2)**2/9
Factor -2*j**2 + 240*j.
-2*j*(j - 120)
What is f in -2*f**4/5 + 4*f**3/5 + 26*f**2/5 + 4*f = 0?
-2, -1, 0, 5
Factor 5*c**4 - 575*c**3.
5*c**3*(c - 115)
Factor -2*n**4/5 + 8*n**3/5 + 6*n**2 - 36*n/5.
-2*n*(n - 6)*(n - 1)*(n + 3)/5
Factor -2*h**2 + 104*h + 570.
-2*(h - 57)*(h + 5)
Factor -n**2 + 19*n + 92.
-(n - 23)*(n + 4)
Factor -2*m**2/13 - 70*m/13 - 68/13.
-2*(m + 1)*(m + 34)/13
Let -12*z**5 - 68*z**4 - 88*z**3 - 32*z**2 = 0. Calculate z.
-4, -1, -2/3, 0
Suppose 2*z**4/9 + 8*z**3 - 50*z**2/3 + 76*z/9 = 0. What is z?
-38, 0, 1
Suppose -z**3/5 + 27*z**2/5 - 159*z/5 - 187/5 = 0. Calculate z.
-1, 11, 17
Factor k**2 - 728*k + 727.
(k - 727)*(k - 1)
Let 2*v**3 - 50*v**2 - 34*v + 5202 = 0. Calculate v.
-9, 17
Determine x so that x**2/3 + 2*x/3 = 0.
-2, 0
Find h such that 2*h**3/5 + 14*h**2/5 - 42*h/5 - 54/5 = 0.
-9, -1, 3
What is k in 2*k**3 - 208*k**2 + 5408*k = 0?
0, 52
Factor -3*j**5 + 3*j**3.
-3*j**3*(j - 1)*(j + 1)
Factor -g**3 + 4*g**2 + 39*g - 126.
-(g - 7)*(g - 3)*(g + 6)
Factor -q**2/11 - 20*q/11.
-q*(q + 20)/11
Find w, given that -6*w**5 + 201*w**4 - 1401*w**3 - 2571*w**2 - 105*w + 858 = 0.
-1, 1/2, 13, 22
What is y in -2*y**5/3 + 6*y**4 - 50*y**3/3 + 18*y**2 - 20*y/3 = 0?
0, 1, 2, 5
Factor r**4/3 - 5*r**3/3 + 2*r**2/3 + 8*r/3.
r*(r - 4)*(r - 2)*(r + 1)/3
Factor -5*y**2/6 + 35*y/2 + 55/3.
-5*(y - 22)*(y + 1)/6
Suppose -4*i**2/5 + 108*i/5 - 112 = 0. Calculate i.
7, 2
|
{
"pile_set_name": "DM Mathematics"
}
|
38
Calculate prob of sequence nnn when three letters picked without replacement from aaaaaannanannnnannn.
40/323
What is prob of sequence ttt when three letters picked without replacement from ttttt?
1
Two letters picked without replacement from lazzlzzlal. Give prob of sequence za.
4/45
Calculate prob of sequence fz when two letters picked without replacement from flyylyzy.
1/56
Two letters picked without replacement from {w: 1, z: 1, g: 2, c: 1}. Give prob of sequence wz.
1/20
Four letters picked without replacement from cncccncccccncc. What is prob of sequence cnnc?
5/182
Two letters picked without replacement from fyyy. Give prob of sequence fy.
1/4
Two letters picked without replacement from fssszyfts. What is prob of sequence sy?
1/18
What is prob of sequence ofof when four letters picked without replacement from iorofnfnoo?
1/210
Calculate prob of sequence xx when two letters picked without replacement from {l: 7, h: 2, x: 3}.
1/22
What is prob of sequence htqt when four letters picked without replacement from hfthtq?
1/90
What is prob of sequence wii when three letters picked without replacement from {w: 2, i: 6}?
5/28
What is prob of sequence ewe when three letters picked without replacement from ewjeejejjjewjj?
5/273
Four letters picked without replacement from {q: 5, h: 3, g: 4, i: 1}. Give prob of sequence qihg.
1/286
What is prob of sequence qjj when three letters picked without replacement from {q: 4, j: 13, p: 3}?
26/285
Calculate prob of sequence vy when two letters picked without replacement from {s: 1, g: 1, x: 3, y: 1, v: 1}.
1/42
Calculate prob of sequence pv when two letters picked without replacement from {k: 3, v: 1, h: 9, w: 1, a: 3, p: 1}.
1/306
Two letters picked without replacement from {v: 1, w: 1, x: 1, z: 1, l: 1}. Give prob of sequence lz.
1/20
Three letters picked without replacement from yxyxyrxxqxkxdyqdyy. What is prob of sequence kqx?
1/408
Calculate prob of sequence hwz when three letters picked without replacement from {a: 1, t: 2, p: 1, z: 1, w: 1, h: 1}.
1/210
Calculate prob of sequence ogog when four letters picked without replacement from {g: 4, o: 6}.
1/14
Calculate prob of sequence vsaa when four letters picked without replacement from {s: 2, a: 2, v: 5}.
5/756
Two letters picked without replacement from {f: 5, i: 3, s: 3, k: 1}. What is prob of sequence ff?
5/33
What is prob of sequence onr when three letters picked without replacement from {r: 6, n: 4, o: 3}?
6/143
Two letters picked without replacement from kcgimxg. What is prob of sequence kx?
1/42
What is prob of sequence qqqq when four letters picked without replacement from qqqlqlql?
1/14
What is prob of sequence picp when four letters picked without replacement from opucpia?
1/420
Two letters picked without replacement from {k: 5, h: 7}. What is prob of sequence hh?
7/22
Two letters picked without replacement from flfllflllffllllllll. What is prob of sequence ff?
10/171
Calculate prob of sequence pzy when three letters picked without replacement from {z: 3, p: 1, y: 4}.
1/28
Two letters picked without replacement from {z: 3, o: 4, v: 2}. Give prob of sequence oz.
1/6
Calculate prob of sequence nls when three letters picked without replacement from ltsntlpnstsstsssn.
7/680
Two letters picked without replacement from pkejkuupup. What is prob of sequence eu?
1/30
Calculate prob of sequence pl when two letters picked without replacement from llllpllplllpll.
33/182
Calculate prob of sequence tt when two letters picked without replacement from ttttlttltt.
28/45
Calculate prob of sequence ggge when four letters picked without replacement from geggegggegegeg.
15/143
Two letters picked without replacement from iikicxiiiiinidii. What is prob of sequence ix?
11/240
Two letters picked without replacement from {d: 1, x: 1, z: 1, j: 1, l: 1}. Give prob of sequence dz.
1/20
Three letters picked without replacement from {p: 3, h: 3}. What is prob of sequence ppp?
1/20
Calculate prob of sequence pp when two letters picked without replacement from {g: 10, n: 3, p: 4, i: 1}.
2/51
Two letters picked without replacement from nnnnnrnrn. Give prob of sequence rn.
7/36
What is prob of sequence wkvk when four letters picked without replacement from {v: 1, w: 11, k: 3}?
11/5460
Three letters picked without replacement from {v: 2, s: 4, z: 2, i: 2}. Give prob of sequence zvi.
1/90
What is prob of sequence lo when two letters picked without replacement from {o: 4, l: 7, p: 4}?
2/15
What is prob of sequence yy when two letters picked without replacement from {q: 3, y: 2}?
1/10
Calculate prob of sequence iff when three letters picked without replacement from iiff.
1/6
Calculate prob of sequence aya when three letters picked without replacement from {y: 3, a: 17}.
34/285
Four letters picked without replacement from {e: 2, s: 1, o: 2, z: 6, c: 7}. Give prob of sequence ozcs.
7/6120
Calculate prob of sequence sn when two letters picked without replacement from snnsn.
3/10
Calculate prob of sequence gvx when three letters picked without replacement from {x: 3, v: 3, m: 1, g: 4}.
2/55
What is prob of sequence gf when two letters picked without replacement from {f: 9, g: 2}?
9/55
Two letters picked without replacement from ckkllkcckknknkl. Give prob of sequence nn.
1/105
Four letters picked without replacement from dxxkk. Give prob of sequence xxdx.
0
Four letters picked without replacement from qqmmainmnmmqim. What is prob of sequence nnqi?
1/2002
Three letters picked without replacement from befbrueqbrfu. Give prob of sequence fef.
1/330
What is prob of sequence ylx when three letters picked without replacement from xmyll?
1/30
Three letters picked without replacement from gsgsyskgysyysysssgg. What is prob of sequence ggg?
10/969
Two letters picked without replacement from cziziiwicc. Give prob of sequence wc.
1/30
Two letters picked without replacement from {m: 7, x: 1}. Give prob of sequence xm.
1/8
What is prob of sequence pfe when three letters picked without replacement from {l: 1, t: 1, f: 2, e: 1, b: 1, p: 1}?
1/105
Two letters picked without replacement from kdodyddyydkkd. What is prob of sequence dd?
5/26
Two letters picked without replacement from vvvvvvkvkkvkkvvvvv. Give prob of sequence kk.
10/153
What is prob of sequence ic when two letters picked without replacement from uutucit?
1/42
Four letters picked without replacement from {k: 4, c: 8, b: 2, f: 4, z: 1}. Give prob of sequence ccck.
14/969
What is prob of sequence zcys when four letters picked without replacement from sacccsysszcbcscsyzc?
7/3876
What is prob of sequence au when two letters picked without replacement from hwkakwwugkak?
1/66
Two letters picked without replacement from wqqqrqrkqrrqwqrqww. What is prob of sequence rk?
5/306
What is prob of sequence pmm when three letters picked without replacement from {m: 11, p: 9}?
11/76
What is prob of sequence ece when three letters picked without replacement from ceecqccecq?
1/24
Two letters picked without replacement from {o: 2, p: 3, r: 5, f: 1, x: 1, u: 8}. Give prob of sequence of.
1/190
Calculate prob of sequence ht when two letters picked without replacement from {h: 1, n: 3, t: 2, q: 6, g: 1}.
1/78
Two letters picked without replacement from ahhxpxpb. What is prob of sequence xh?
1/14
Two letters picked without replacement from gyoyogvgoglyy. What is prob of sequence gg?
1/13
Calculate prob of sequence il when two letters picked without replacement from {h: 1, q: 2, l: 2, i: 4, t: 1, x: 2}.
2/33
Three letters picked without replacement from vyvyvvyyvyyyyryr. What is prob of sequence yvr?
3/112
Two letters picked without replacement from zzbz. Give prob of sequence bz.
1/4
Four letters picked without replacement from tmttmmtxgmc. Give prob of sequence mxgc.
1/1980
What is prob of sequence becu when four letters picked without replacement from eccccccecuccuccebecb?
8/4845
Four letters picked without replacement from vynyyyvvvyyyyyvvyy. Give prob of sequence nvyy.
11/1224
What is prob of sequence la when two letters picked without replacement from gljalllllllajgg?
8/105
Calculate prob of sequence ppee when four letters picked without replacement from ppppppppppeppeppppep.
4/285
What is prob of sequence bpb when three letters picked without replacem
|
{
"pile_set_name": "DM Mathematics"
}
|
be 3/(-4) - (-22)/p. Suppose -k*r - 3*s + 11 = -134, -4*r + 2*s = -298. Is r prime?
False
Suppose 3*q - 231 = 261. Suppose m - 5*s - q = 0, -5*s + 283 = 6*m - 4*m. Is m composite?
False
Let j be -107 - -2 - (2 - 0). Let w = j + 226. Is w composite?
True
Suppose -t + 2391 = 4*d, -4*d + 5*t + 3359 = 986. Is d a composite number?
True
Suppose 5*c + 3*m = 1892, -3*c + 4*m = 2*c - 1899. Is c a composite number?
False
Let v = 337 + 60. Suppose -m = 5*o - v - 860, -m - 751 = -3*o. Is o a composite number?
False
Let m be (4/(-6))/((-1)/3). Suppose 0 = -d + l - 5*l + 75, -m*l + 2 = 0. Is d prime?
True
Let b(j) be the third derivative of j**5/30 + 11*j**4/24 + 5*j**3/6 - 3*j**2. Let f be b(-7). Is (f/(-4))/((-2)/4) prime?
True
Suppose -319 = r - 2*r. Is r a prime number?
False
Suppose 2*f = 7*f + m - 1018, 2*f - 412 = 2*m. Let z = 299 - f. Is z a composite number?
True
Suppose 0 = -5*h + h + 2164. Is h prime?
True
Let i be (0 + -1)*-1 + 1. Suppose 0 = t - i*t + 58. Is t a prime number?
False
Let x(b) = b**2 + 9*b + 11. Let c be x(-6). Suppose 2*v = -0*v + d - 8, 0 = -4*d - 16. Is c/((-21)/v) - -15 composite?
False
Suppose 12 = -3*h + 486. Is h a composite number?
True
Let c = 327 + 92. Is c a composite number?
False
Suppose -3*l - 4*p + 177 = -49, -3*p - 97 = -l. Let y = l - -135. Suppose -5*v = -v + 3*w - y, 5*v - 272 = -3*w. Is v prime?
False
Suppose 5*i + 0 = -5. Is (-3)/(i - 2) + 118 prime?
False
Suppose 0 = 4*i + i - 25. Let f(c) = c - 2. Let a be f(i). Suppose n + t + 106 = a*n, 4*n = t + 208. Is n a prime number?
False
Suppose -2*g = -5*p + 1209 - 156, 635 = 3*p + 2*g. Is p prime?
True
Suppose -4*w - 46 = 4*k + k, 3*w + 18 = -k. Let u = k + 29. Is u composite?
False
Suppose 8961 = 5*c - 10004. Is c a prime number?
True
Let m be (-33)/(-5) + (-4)/(-10). Suppose 7*p + m = g + 2*p, 2*p = -3*g + 38. Suppose 3*c = -5*b + 186, -c - g = 3*c. Is b a prime number?
False
Let f be 2/3*21/(-14). Is ((-635)/10)/(f/2) prime?
True
Let p(q) = -q**2 - q - 68. Let n be p(0). Let z = n + 189. Is z prime?
False
Suppose -16*c = -12*c - 7964. Is c composite?
True
Let j(x) = x + 102. Let b be j(0). Suppose -4*o + 5*u - 118 = 45, 5*u = 15. Let w = b + o. Is w a composite number?
True
Suppose 0*f - 4*f = -152. Suppose -z + 9 = -f. Is z a prime number?
True
Let k(q) = q + 14. Let x be k(-10). Let d be x*(-1)/((-4)/643). Suppose 97 = 4*j - d. Is j composite?
True
Let j(w) = w + 2. Let v be j(-5). Let s be v/6 + (-1)/(-2). Let a = s + 9. Is a prime?
False
Let p = 650 - 157. Is p a composite number?
True
Let r(f) be the second derivative of 17*f**6/720 - f**4/6 - f. Let i(u) be the third derivative of r(u). Is i(2) a prime number?
False
Let s(f) = f**3 + 9*f**2 - 5*f - 3. Let z be s(-8). Let d be 772/12 - (-1)/(-3). Suppose -z - d = -5*q. Is q a composite number?
True
Let m(u) = 320*u - 37. Is m(10) prime?
True
Suppose 5*d = -4*c + 30, 5*c - 2*d - 9 = 12. Let k(x) = -x + 7. Let b be k(c). Suppose 0 = 3*o - b*p + p - 36, 0 = 3*p - 9. Is o prime?
True
Let a(p) = -p**3 + 25*p**2 - 2*p - 29. Let n(m) = -2*m**3 + 49*m**2 - 4*m - 57. Let u(b) = -11*a(b) + 6*n(b). Is u(18) composite?
True
Let l(k) be the second derivative of 5*k**3/6 - 13*k**2 + 8*k. Is l(12) prime?
False
Suppose 2*c = 5*k - 3539, 5*c = -4*k - 1459 + 4310. Is k prime?
True
Is -1468*(95/(-20) + 3) a composite number?
True
Suppose 0 = -5*l - 2*u + 27, 5*l + u + 4*u - 30 = 0. Suppose l = 2*p - 5. Suppose -2*k + 157 = k + t, 3*k - p*t = 169. Is k prime?
True
Let v be (16/(-10))/2*-5. Is v*3/(18/39) composite?
True
Suppose -3*n + n - 12 = 0. Let u be 1/(-4) + (-18)/(-8). Is u*(0 + (-237)/n) a prime number?
True
Let v(y) = 78*y**2 - y + 2. Is v(1) a prime number?
True
Let r = -126 - -211. Is r prime?
False
Suppose 2*m + 876 = 4*k, -2*k + 3*k - 219 = m. Let j = -154 + k. Is j prime?
False
Suppose -2*d + 4*m - 516 = -m, 5*d + 3*m + 1290 = 0. Let j = -704 - d. Is j/(-18) + (-8)/(-36) a prime number?
False
Suppose 0 = 3*d + 2*m - m - 214, -3*m = 3*d - 216. Suppose -d = -3*p + 40. Is p a prime number?
True
Suppose 0*g + 2*g - 360 = -4*o, 0 = 2*o - g - 176. Is o a composite number?
False
Suppose 20*r - 19*r = 541. Is r prime?
True
Let y be 173*(0 + -1) - -2. Let w = 258 + y. Is w a prime number?
False
Is 6/9*339/2 prime?
True
Is (0 - (3 + -5)) + 329 a composite number?
False
Let m(j) be the first derivative of -31*j**2/2 - 5*j + 2. Is m(-4) a prime number?
False
Let a be (-3)/2*(-88)/3. Suppose -3*y = a - 401. Is y a composite number?
True
Let w = -439 + 848. Is w prime?
True
Let k = 4 + -4. Suppose 3*j - 2*h + 4 = k, 2*h = -4*j + 7 + 11. Suppose -3*q - 73 = -5*t, 0 = 3*t - j*t + q - 13. Is t composite?
True
Suppose -5*t + 174 + 196 = 0. Is t a prime number?
False
Let j(a) = a**2 - 2*a**2 + 21*a + 4 - 2 + 1. Is j(11) a prime number?
True
Suppose 2 = 2*a, 3*a + 1 = -3*n - 5. Is n*1 + (3 - -233) prime?
True
Let j be (18/(-5))/(3/(-10)). Suppose 2*q - j = -q. Suppose 2*t = -t - i + 381, 2*t - 254 = -q*i. Is t a prime number?
True
Suppose -5 + 0 = 4*r + 5*a, -2*a + 10 = 4*r. Let s be 10/r - (-2 + -18). Suppose -s = 4*c - 162. Is c a composite number?
True
Suppose -716 = -5*i + 299. Is i a composite number?
True
Let d = -491 - -996. Is d a composite number?
True
Let r(l) = -6*l**3 - 2*l**2 - 5*l - 10. Is r(-3) a prime number?
True
Suppose -3*h + 1147 = -2*c + c, 0 = -5*h - 3*c + 1907. Suppose -h = 2*z - 4*z. Is z composite?
False
Let z = 752 - 445. Is z composite?
False
Let o be (3 - 3) + 2 - 4. Let q = o - -473. Is q a composite number?
True
Let j be 6147/(-6)*(-2)/3. Suppose 5*n - v - 692 = 0, -5*n - 4*v = -j - 24. Is n prime?
True
Let a(u) = -34*u - 3. Is a(-10) prime?
True
Let n(u) = 36*u - 5. Let f be (-3)/(-12) - (-46)/8. Is n(f) prime?
True
Let u = 1193 - -1944. Is u composite?
False
Let f = -39 - -124. Is f composite?
True
Suppose 39164 = 22*h - 18*h. Is h composite?
False
Is 981/21 + 2/7 prime?
True
Let u(a) = a + 1. Let w(l) be the first derivative of -5*l**4/4 + l**3 - l**2/2 - 3*l + 2. Let n(y) = 4*u(y) + w(y). Is n(-2) a composite number?
False
Let u(n) = 3*n**2 + 8*n - 2. Let i(f) = -10*f**2 - 25*f + 6. Let y = 3 - 1. Let d(x) = y*i(x) + 7*u(x). Is d(-9) prime?
False
Let n(z) = -3*z**3 - 7*z**2 - 4*z + 4. Let d be n(-4). Let x = 148 - d. Suppose 5*a - 2*v - x = 0, 0 = -2*a - 4*v + 15 + 9. Is a prime?
False
Suppose 6*h + 2335 = 7*h. Is h composite?
True
Let h(j) = 5 - 4*j - 3*j - 4*j - 2. Is h(-8) a composite number?
True
Let x(q) = 2*q**2 + 2*q + 491. Is x(0) prime?
True
Let s(f) = f + 1. Let b(z) = 7*z + 15. Let a(q) = -b(q) + 5*s(q). Let u be a(-7). Suppose d = 3*n - 115, u*n = -0*d + 2*d + 156. Is n composite?
False
Let n(y) = -4*y**3 + y**2 + 6*y + 14. Is n(-5) prime?
True
Let w(m) = 3*m - 17. Let q be w(7). Suppose -q*l = 4*a - 1572, -l + a = l - 798. Is l composite?
False
Let d = 7 - 6. Let h be d/(((-2)/(-118))/(-1)). Let f = h + 82. Is f composite?
False
Let m(a) = -10*a**3 + 7*a**2 + 13*a - 7. Is m(-6) prime?
False
Let s be (-9)/(2 + 1) + 305. Let t = -175 + s. Is t a prime number?
True
Let o = 1469 - 966. Is o composite?
False
Let j(r) = r + 13*r**2 - 3*r + 8*r - 5 + 3*r. Is j(4) composite?
False
Let u(i) be the second derivative of -i**3 - i**2/2 + 4*i. Is u(-8) a prime number?
True
Let j be (2 - (2 - 1)) + -2. Is (-1 + 0)/j - -126 a composite number?
False
Let f = 72 - -17. Let c(l) = 2*l**3 + l**2. Let o be c(1). Suppose 0*b - f = -o*z + 2*b, -2*z + 3*b + 56 = 0. Is z a prime number?
True
Let o(t) = 7*t**3 - 7*t**2 + 31. Let r(x) = -3*x**3 + 4*x**2 - 15. Let b(g) = 4*o(g) + 9*r(g). Is b(-7) a prime number?
False
Let h = -6 - -11. Let b = h + 0. Suppose 0 = n - b*c - 141, -530 = -5*n + n + 3*c. Is n composite?
False
Is (-1046)/(-8) - 11/(-44) prime?
True
Let a = -62 + 122. Let c = -41 + a. Is c composite?
False
Let g be (-11)/(-4) - 1/(-4). Suppose -2*s - 10 = g*s. Is s + (0 - 0) - -8 a prime number?
False
Let h(y) = -4 - y**2 + 5*y**2 + 7*y - 2*y. Is h(-7) a prime number?
True
Let o = -89 + 32. Let f = o - -96. Suppose -2*h + f - 10 = q, -3*q = h - 62. Is q prime?
True
Let u(x) be the second derivative of x**4/12 + x**3/6 + 4*x**2 - x. Is u(-6) a composite number?
True
Let m = 0 + 0. Suppose 0 = -3*k - 3*x + 612, 2*k + m*x - 5*x = 401. Is k prime?
False
Suppose 262 = 2*g - 4*q, 842 = 5*g - 3*q + 208
|
{
"pile_set_name": "DM Mathematics"
}
|
1
-0.31165401
Work out 4912197 + 3.
4912200
3185 - -24582
27767
Sum 1 and 56487.92.
56488.92
Add 136481 and 130929.
267410
0.23932258 + -5
-4.76067742
Total of -0.06916747 and 94.
93.93083253
7087.6+-0.009
7087.591
What is the distance between 2.91 and -8959.9934?
8962.9034
Add together -0.18 and 83663766.
83663765.82
What is -0.2945975 minus 1913?
-1913.2945975
What is -147519 take away -138?
-147381
Sum 4.4308 and -0.33837.
4.09243
0.4 + 8677.16055
8677.56055
What is -19914225036 plus 0.1?
-19914225035.9
Work out -501.7 - -600.67.
98.97
What is 21.672 less than 0.067?
-21.605
What is -0.2 + 2166140.6?
2166140.4
What is -253442720 minus 49?
-253442769
What is -190.886 minus -0.0486?
-190.8374
What is -1366304 - 15?
-1366319
Add together 4.6 and -19853353.
-19853348.4
Put together -332028967 and -3.
-332028970
Calculate -0.112658257 - -0.01.
-0.102658257
Work out 45 + -665240414.
-665240369
What is the difference between -5151117 and -22?
5151095
Work out -1665648.91 - -15.
-1665633.91
What is the difference between 46.7223 and -12.06?
58.7823
What is 31909 - -43.49?
31952.49
What is -289783 - -1.1?
-289781.9
What is -345.1 plus -16356?
-16701.1
Work out -17.2647 + -141.
-158.2647
Add together -3 and -0.1650269025.
-3.1650269025
What is the difference between -42 and 61818?
61860
Calculate -137 - -350288.33.
350151.33
0.237 - 3012798
-3012797.763
What is the distance between -553317.1 and 78?
553395.1
Sum -121.35 and -0.04787.
-121.39787
Calculate 4533 + 477376.
481909
What is 17991 + 1076?
19067
What is -42352 plus 6.69?
-42345.31
Calculate -5997.22088 - -0.5.
-5996.72088
Work out -120703 + 12080.3.
-108622.7
Total of -514.8 and 4353332.
4352817.2
Total of -1107 and 51866.
50759
What is -1321.3123 less than -12?
1309.3123
What is -0.05 take away 1430.0445074?
-1430.0945074
What is -24358148 less than -20.8?
24358127.2
What is 255.3 - 22971.5?
-22716.2
What is -2228534 plus 1376?
-2227158
What is the difference between -422891497 and 3?
422891500
Work out -11 - 2005703984.
-2005703995
What is 256.78269 minus 7?
249.78269
Add together 7645986 and 4279.
7650265
What is 6.0281 + 0.12207?
6.15017
What is -381 minus 104.21947?
-485.21947
What is the difference between -199856.08147 and 0.06?
199856.14147
Total of -2396 and -472060.
-474456
Total of -848868 and 26.
-848842
What is 16590564 less than -5?
-16590569
1.12+-0.0296821
1.0903179
Put together -1 and 46552971.
46552970
-74301.4 + 1.43
-74299.97
Calculate 3.548 + -30.55.
-27.002
Subtract -1952.51 from 11357.
13309.51
0.3 - -68725.23
68725.53
Add -2 and 5795.045.
5793.045
-39493.365 - 16
-39509.365
11743990 - -1
11743991
What is the difference between 146 and -13309700?
13309846
Work out 1 - 8542.931.
-8541.931
Work out -424 - -1.09091.
-422.90909
Sum -0.71 and -704523262.
-704523262.71
Calculate -1.619155 - 142.7.
-144.319155
-77 - 7705409
-7705486
16.57445 - -193.7
210.27445
Put together -0.3 and 1841437.
1841436.7
What is the difference between 20440604 and -0.4?
20440604.4
873.289 - -5
878.289
Work out -0.75757 - 913.
-913.75757
What is 2287 + 1040479?
1042766
Work out 18113.87 - 367.
17746.87
Put together -68272330723 and -2.
-68272330725
Work out -1090524400 + 0.5.
-1090524399.5
What is -21 plus 696.3107?
675.3107
Work out 0.387912 + 3.
3.387912
Calculate 0.0915 - 0.4781282.
-0.3866282
Calculate 661 - -0.084788.
661.084788
Put together -478 and 31893.
31415
Calculate -4 - -0.0021044366.
-3.9978955634
What is -4 minus 2143963?
-2143967
Total of 0 and 136.17065.
136.17065
What is 479215 take away 48.5?
479166.5
Subtract -0.01539722 from -2.4.
-2.38460278
Calculate -0.4 - 17533405.
-17533405.4
Work out -51799809764 + -4.
-51799809768
Put together 5 and 2013894905.
2013894910
Sum 2.38 and 2467.57.
2469.95
What is -0.02 minus -1114256393?
1114256392.98
22+0.073618815
22.073618815
Add together 10 and -118.8577.
-108.8577
Add -1174 and 74326.
73152
409503336 - -11
409503347
What is -23890 - -16.2?
-23873.8
What is -533.2 minus 0.14996?
-533.34996
What is -1 + -376.7757216?
-377.7757216
What is the distance between 0.3 and 1516.732?
1516.432
What is the difference between -397.7718 and -3215?
2817.2282
What is 0.3 minus 51.85323?
-51.55323
Put together 18.2 and 1161181.
1161199.2
Put together 40562.65 and 2.
40564.65
Add together 11312 and -2231.49.
9080.51
Subtract 74 from -23575831.
-23575905
What is the difference between -13.19402615 and 2?
15.19402615
What is the distance between -718.359 and -0.56?
717.799
Put together 151392.27 and 114.8.
151507.07
-91353 - -178
-91175
Put together 0.03 and -966117.
-966116.97
1268 - -91.32
1359.32
Sum -188.357 and -30.
-218.357
What is 65 - 95978035?
-95977970
Add 0.009 and -913317985.
-913317984.991
What is 0.3483 minus 0.11997?
0.22833
Sum -0.10600282 and 0.3.
0.19399718
Add -0.2 and -109086610.
-109086610.2
Calculate -201946 - -2807.
-199139
What is the distance between -6241301128 and 0.3?
6241301128.3
Sum -0.4 and -5501.92.
-5502.32
What is the difference between 478041 and 922.7?
477118.3
What is 0.0727 take away 97?
-96.9273
What is the distance between -39805 and 168586.8?
208391.8
What is the difference between -0.16 and -4.461184?
4.301184
Work out 5337.05 - 73.781.
5263.269
What is -622 - 3352657?
-3353279
Total of 309.4423 and 4249.
4558.4423
What is 0.1 - -3702065566?
3702065566.1
Calculate -62376 - -23.
-62353
Subtract -0.80808 from 0.12336.
0.93144
0.0068+410895
410895.0068
Calculate 25.9 - -0.02818.
25.92818
Add together 0.5 and -11.026575.
-10.526575
Work out 0.5 - 6104651.
-6104650.5
What is 3.5 + 4.34615?
7.84615
Add -726.91874 and 89.
-637.91874
Total of -49.7 and -23430982.
-23431031.7
Add together 0.0791546 and 0.67.
0.7491546
Put together 21739304 and 0.1.
21739304.1
0.0746685431 - 2
-1.9253314569
Add together -477 and -7905514.
-7905991
Calculate -28815 - 406.
-29221
What is 42030017 - -387?
42030404
What is 0.15 minus 2955527726?
-2955527725.85
Put together 341.713429 and 3.
344.713429
Calculate 8675.1 + 484.185.
9159.285
Work out 109 - -116569907.
116570016
Total of -8793086 and -1.9.
-8793087.9
What is -0.5 less than -2.648571?
-2.148571
What is 233 take away 794.73?
-561.73
Add 260878 and -0.33562.
260877.66438
What is the difference between -34.62 and 157.87?
192.49
What is -773443100 take away -0.4?
-773443099.6
Add together 8209.13 and -0.1826.
8208.9474
-9 - 7449498
-7449507
What is -116.7121144 - 51?
-167.7121144
Calculate -16.419 - 0.2216.
-16.6406
What is the difference between -1.223 and 287.30709?
288.53009
What is -0.081058 + 4.7?
4.618942
Total of 11858041 and 76.
11858117
Work out -5 + 60288.48238.
60283.48238
Calculate 94346483 + 1.
94346484
Work out 17941138 + 0.98.
17941138.98
Calculate 0.2 - 0.12116482432.
0.07883517568
2 - 2636024.4442
-2636022.4442
Work out 46.8763044 - 28.
18.8763044
Total of -119.795 and 512.
392.205
Put together -3946943 and -1692.
-3948635
Subtract 56312098.3 from -4.
-56312102.3
What is -0.8 minus -120815726?
120815725.2
What is -5.4 less than -57569491?
-57569485.6
Total of 1213951 and -0.4.
1213950.6
Add 90 and -607874.
-607784
Work out 155 + -446692.
-446537
What is -4 less than -222364069?
-222364065
What is the distance between 1.2164 and -0.241531?
1.457931
What is 63 minus 15840542?
-15840479
Total of -14242355.23 and -11.
-14242366.23
What is 4 minus 141162967?
-141162963
What is 9 less than -8756473806?
-8756473815
Calculate 297 - -1.6897.
298.6897
-169352.78+-0.1
-169352.88
What is 0.59 - 21.395959?
-20.805959
What is -24455 minus 0.1410726?
-24455.1410726
What is -11720084 plus -0.1?
-11720084.1
Total of -431612 and -27101.
-458713
Calculate -0.4 - -69747875.
69747874.6
What is the difference between 14 and 2616625?
2616611
Add together -74.5 and -0.05005.
-74.55005
Sum -1.4 and 468662.
468660.6
What is -4 + -4746877599?
-4746877603
What is -0.51468 plus 72.461?
71.94632
What is -0.57 plus -68246.6?
-68247.17
Calculate 10322.2 + 123.
10445.2
1004 - -136722
137726
Work out -2 - 105924395.
-105924397
Work out 16 + 101.52632.
117.52632
Put together 45064.582 and -5.
45059.582
Add together 984 and -4.62.
979.38
Add -0.6 and 16109381.
16109380.4
Calculate 1.1170115 - 2727.
-2725.8829885
What is 271931 take away 0.7463?
271930.2537
What is -0.27 + -0.05928984?
-0.32928984
What
|
{
"pile_set_name": "DM Mathematics"
}
|
.
1.0658
Product of 0.02 and -65.1.
-1.302
2100.1 times 15
31501.5
-14*-13.1957
184.7398
0.2 times 1371
274.2
-3 * 153.38
-460.14
-232 * -0.135
31.32
Product of 0.3 and 288377.
86513.1
Work out -1372 * -20.
27440
Product of -0.4 and -3.6369.
1.45476
What is 2 times -0.123484?
-0.246968
4.1*103.9
425.99
Calculate 1.153*57.
65.721
-378 * 1534
-579852
-632218 times -5
3161090
Product of -0.1 and 52.45.
-5.245
What is -1 times 2.03858?
-2.03858
Product of 0.63 and 0.496.
0.31248
-8578*-1
8578
0.03386*-0.0326
-0.001103836
Calculate -122836*0.2.
-24567.2
0 * -31432
0
Multiply 0.1 and 176161.
17616.1
Multiply 0.236222 and 0.
0
Work out 1.9 * -30.39.
-57.741
Calculate 0.06812*0.68.
0.0463216
-0.05 * -3043
152.15
What is 3.98925 times 0?
0
-5 * 7466
-37330
Calculate 0.053263*0.19.
0.01011997
Calculate 21*361.74.
7596.54
Work out -1362 * -0.4.
544.8
What is -6.3 times -1.16?
7.308
Multiply -6708 and 0.08.
-536.64
Product of -85 and 0.717.
-60.945
What is 0.23734 times 3?
0.71202
Calculate -1276*-607.
774532
-47*771.94
-36281.18
Work out 278 * 6.3.
1751.4
120 * 195
23400
11 * -84264
-926904
3*215477
646431
Calculate -4*-730.
2920
What is the product of 5148 and -24?
-123552
Multiply -0.5 and 257366.
-128683
What is the product of 0.0073 and 0.02?
0.000146
2 * -11841
-23682
Work out 2025 * 136.
275400
What is the product of -289 and -0.74?
213.86
Work out -506.8 * 283.
-143424.4
Product of -0.5 and -28.76.
14.38
Product of -51.4 and -46.
2364.4
What is -11925 times 1.1?
-13117.5
Product of 7 and 680.17.
4761.19
Work out 35.58 * -0.5.
-17.79
Multiply 32 and -9.
-288
Calculate 52.411*15.
786.165
0.2*871.13
174.226
Calculate -13652*1.5.
-20478
-4.314 times 2
-8.628
-150.76*0.2
-30.152
1796.7 times 522
937877.4
Multiply -4.2 and -5663.
23784.6
Product of 2.322 and 5.
11.61
Calculate 0.358*0.0838.
0.0300004
Product of 0.11 and -12150.
-1336.5
Product of 0.043 and 31.
1.333
30.3 times -1.6
-48.48
What is 21 times 62732?
1317372
Calculate -23*-40557.
932811
Calculate -0.318*-117.3.
37.3014
Product of -12.716 and -0.5.
6.358
Product of -0.5 and 10705.
-5352.5
-0.038 times 10.39
-0.39482
Calculate -32.2918*-0.2.
6.45836
What is 11 times 3526.9?
38795.9
Product of 29556 and -0.04.
-1182.24
584.8 times -333
-194738.4
34 * -5048
-171632
Multiply 0.04673 and 0.079.
0.00369167
What is the product of 153427 and -1?
-153427
What is the product of 6 and -0.06858?
-0.41148
-43.4 * 1.42
-61.628
Product of 0.4 and 168855.
67542
1132.4 * 1.05
1189.02
114*-0.7114
-81.0996
Multiply -4 and 219099.
-876396
15 * -38
-570
What is -2.92 times -0.892?
2.60464
Calculate 66*-20482.
-1351812
Multiply 285 and -6.8.
-1938
-35630 * 10
-356300
-0.84*-0.46152
0.3876768
Calculate 0.3*1.29856.
0.389568
-2.532*783
-1982.556
13.303 times 4
53.212
1.737*516
896.292
What is 95926 times 0.28?
26859.28
2021*0.405
818.505
-2*54775
-109550
What is the product of -3 and 7163.5?
-21490.5
Product of -51 and -3442.
175542
Calculate 402*79.4.
31918.8
-3341 times -0.088
294.008
Work out 707965 * -0.2.
-141593
Calculate -694.87*-0.06.
41.6922
What is the product of -4434 and -87?
385758
Multiply 7933 and 17.
134861
What is the product of -11188 and -5?
55940
Multiply -0.2 and -0.020773.
0.0041546
1.1*-0.04891
-0.053801
1*-0.016663
-0.016663
2 * -1149
-2298
Work out -42311 * 9.
-380799
-14443 times -38
548834
Product of -118578.5 and 0.
0
Calculate -2*-0.22529.
0.45058
Work out -8091 * -0.53.
4288.23
Multiply -0.1 and 366935.
-36693.5
Work out 0.6276 * -0.8.
-0.50208
What is the product of -3 and 3.4198?
-10.2594
What is the product of 17.2 and 1090?
18748
Work out -0.5468 * 41.
-22.4188
What is the product of 1 and 173.057?
173.057
0.35 * 9.38
3.283
-22656 times 5.5
-124608
Product of 0.0147 and -26.
-0.3822
Product of 4 and -10212.
-40848
Multiply -0.3 and -2861.34.
858.402
-0.045*879
-39.555
-0.04 * 2.925
-0.117
0.21517*-0.8
-0.172136
1189 times 571
678919
-152.5*153
-23332.5
-4486542*-4
17946168
What is 3.102 times 7?
21.714
Work out -91019 * -26.
2366494
Multiply -0.034331 and 4.
-0.137324
Product of -106.43 and -39.
4150.77
Calculate -4*-22798.
91192
Product of -401 and -2.1.
842.1
36080*-2
-72160
Multiply 533385 and 4.
2133540
92290*0.5
46145
What is -0.007846 times 0.2?
-0.0015692
665.361*5
3326.805
1335.1*8
10680.8
Calculate 4*0.64442.
2.57768
Product of -0.2 and -625.02.
125.004
-8*-0.20797
1.66376
Product of 0.5096 and -3.
-1.5288
What is 4 times -0.0085?
-0.034
Product of 0.08 and -26892.
-2151.36
0.2*-11783.97
-2356.794
Product of -13075.9 and 0.07.
-915.313
Calculate -5*-67066.
335330
Multiply -15.4 and -967.
14891.8
Multiply -48.777 and -0.4.
19.5108
Multiply -6409 and -2.
12818
0.1 times 184
18.4
Product of 13 and 19.27.
250.51
What is 75203 times 3?
225609
Work out 5 * 9.388.
46.94
Work out -110611 * 4.
-442444
Product of -309 and -33.2.
10258.8
0 * -275601
0
What is 0.0132 times -81.8?
-1.07976
-2027.6*4
-8110.4
What is the product of 5 and -4.8289?
-24.1445
Multiply -0.1 and 2448.2.
-244.82
Calculate 5*5.86.
29.3
Product of -0.5 and -82028.1.
41014.05
What is -268395 times 5?
-1341975
Work out -67 * 261.
-17487
Product of 3 and 7.46113.
22.38339
What is the product of -0.155679 and -0.4?
0.0622716
Calculate -1*-0.02611.
0.02611
2*122129
244258
Work out 0.1 * -1368820.
-136882
What is the product of 3 and 223087?
669261
What is the product of 5 and 0.036158?
0.18079
Calculate -0.16*-74261.
11881.76
330188 times -2
-660376
0*931064
0
Multiply -0.0941 and -857.
80.6437
0.965 * 162
156.33
-1 * 666797
-666797
What is the product of 4 and 149.83?
599.32
Multiply 5.2 and -3495.1.
-18174.52
0.39314 * 166
65.26124
What is the product of 3 and 0.10607?
0.31821
What is the product of 4 and 70858?
283432
977*-126
-123102
833.6 times -51
-42513.6
What is the product of -0.3 and -12945?
3883.5
-2 * -415877
831754
Multiply 335 and -236.
-79060
What is the product of 52920 and -48?
-2540160
What is the product of -0.04 and -0.3335?
0.01334
59 times -0.096
-5.664
-3657.209 * -0.1
365.7209
What is the product of -3 and 59.07?
-177.21
64917 times -1
-64917
Work out -102 * -0.081.
8.262
66*7093
468138
Work out 90698 * 10.
906980
14.23 times -0.089
-1.26647
71 * 14842
1053782
What is -5 times -0.088471?
0.442355
0.6024 times 2
1.2048
What is the product of -0.4 and -34337?
13734.8
1 * 0.13138
0.13138
-1288.6*1
-1288.6
What is 2230 times -4.68?
-10436.4
0.08372*-51
-4.26972
0.00412*0.25
0.00103
What is 640901 times -0.3?
-192270.3
Multiply -580 and -0.295.
171.1
3*40636
121908
Work out 1.23 * -6.62.
-8.1426
Work out 0.713 * -15.
-10.695
Calculate -6.85507*0.4.
-2.742028
1.37 times 0.613
0.83981
What is the product of -39 and -12.23?
476.97
943 times -8.6
-8109.8
What is -7.3 times -0.139?
1.0147
-24.1 * 0.56
-13.496
What is 23.76 times -1?
-23.76
-3488*-7
24416
0.236*-1.99
-0.46964
Calculate -0.4*-4573.2.
1829.28
Work out 0.18 * 17.77.
3.1986
4.909 * -1
-4.909
What is -0.0468 times -1.373?
0.0642564
0.2 times 293897
58779.4
Calculate -907883*0.4.
-363153.2
20 * -93.4
-1868
Multiply 22.22512 and 0.3.
6.667536
Work out -6.1 * 1608.
-9808.8
What is -31.968 times -0.07?
2.23776
Calculate 0.3*19.379.
5.8137
Work out -5733 * 28.2.
-161670.6
805 times -0.3
-241.5
Calculate 43*5461.4.
234840.2
Product of -3.146 and -2.
6.292
Product of 301300 and -1.
-301300
What is 5.8 times -4898?
-28408.4
-0.5 * 0.27736
-0.13868
What is 0.0265 times -0.72?
-0.01908
Work out -0.3 * -1735491.
520647.3
Product of -33 and 0.95.
-31.35
Calculate 323*-124.
-40052
0*-410.21
0
-0.2 * -195.3
39.06
What is -0.314 times -154?
48.356
Multiply 9 and 1292.2.
11629.8
Calculate 1.6*-533229.
-853166.4
Calculate 21*-60.76.
-1275.96
12*-588.4
-7060.8
Work out -78283 * 0.3.
-23484.9
Multiply 2.57 and 206.
529.42
Product of 261407 and 0.8.
209125.6
What is 48.86019 times -2?
-97.72038
What is the product of -219 and -392?
85848
What is the product of 10401 and -0.083?
-863.283
Work out -3 * -58874.
176622
Multiply 0.1025 and -79.
-8.0975
Calculate 46995*-1.6.
-75192
What is -967 times 58?
-56086
What is 10656 times 6?
63936
Calculate 71*1422.
100962
-17.44*-0.031
0.54064
Multiply 0.01 and -17.9891.
-0.179891
Multiply 2628 and -365.
-959220
Product of 1 and -1521570.
-1521570
What is 16 times 44.2?
707.2
Product of 4 and -29.755.
-119.02
0.136196*0.0
|
{
"pile_set_name": "DM Mathematics"
}
|
9*m = 10*m - 2 for m.
2
Solve 8*z = 23*z - 60 for z.
4
Solve -24*h + 27 - 51 = 0 for h.
-1
Solve 14*b - 29*b = -90 for b.
6
Solve -47*l + 18 = -50*l for l.
-6
Solve -1 - 8 = 3*m for m.
-3
Solve -15 = -128*n + 125*n for n.
5
Solve 0 = -11*t - 2 - 20 for t.
-2
Solve 24*z + 24 = 12*z for z.
-2
Solve 88 - 44 = -11*x for x.
-4
Solve 20 = 8*y - 3*y for y.
4
Solve 18 + 10 = 7*x for x.
4
Solve 12*g = -14 - 10 for g.
-2
Solve 66*z - 32*z - 136 = 0 for z.
4
Solve -28*m - 32*m + 180 = 0 for m.
3
Solve -40 = -24*h + 14*h for h.
4
Solve 7*f = -132 + 111 for f.
-3
Solve 17*m - 44*m = 108 for m.
-4
Solve -34 = -10*o - 14 for o.
2
Solve 5*g - 4 - 1 = 0 for g.
1
Solve 126 = 79*u - 61*u for u.
7
Solve -534 = 7*o - 96*o for o.
6
Solve -6*p + 21 = p for p.
3
Solve -8*c = -17*c for c.
0
Solve 0 = -3*y - 6 + 9 for y.
1
Solve -10*y = -17 + 47 for y.
-3
Solve -6 = -3*n - 0*n for n.
2
Solve 0 = 222*i - 188*i + 136 for i.
-4
Solve 12*v + 15 = 3 for v.
-1
Solve -14*m = -8*m - 12 for m.
2
Solve -7*s + 12 = -3*s for s.
3
Solve -7*b - 5*b + 2*b = 0 for b.
0
Solve 267 - 3 = -44*d for d.
-6
Solve 25*p - 35*p = -10 for p.
1
Solve 3*p = 11 + 4 for p.
5
Solve 7*h + 41 - 6 = 0 for h.
-5
Solve 3 = 2*r - 7 for r.
5
Solve 0 = 5*n + 3 - 3 for n.
0
Solve 79*o - 66*o = 78 for o.
6
Solve -13*b - 3*b + 16 = 0 for b.
1
Solve -18*l - 105 = 3*l for l.
-5
Solve 40 = -42*r + 208 for r.
4
Solve -2*a + 57 = 17*a for a.
3
Solve 56*s = 206*s - 1350 for s.
9
Solve 14*s - 72 = 40 for s.
8
Solve 6*c - 28*c = -22 for c.
1
Solve -l + 23 = 20 for l.
3
Solve -2 = 2*a + 4 for a.
-3
Solve -98*n = -66*n - 160 for n.
5
Solve -90*l = -86*l for l.
0
Solve -2 + 4 = -2*z for z.
-1
Solve -16*v = -12*v for v.
0
Solve -268*r + 261*r + 49 = 0 for r.
7
Solve -2091*z = -2089*z - 16 for z.
8
Solve -4 = 5*t - 14 for t.
2
Solve 4*x - 32 = -20 for x.
3
Solve 9*g = -114 + 168 for g.
6
Solve 160*b - 28 = 174*b for b.
-2
Solve -16 - 40 = -14*n for n.
4
Solve -15*h + 2 = -16*h for h.
-2
Solve -s - 190 = -187 for s.
-3
Solve -7*k = -2 - 5 for k.
1
Solve 20*i + 20 - 60 = 0 for i.
2
Solve 0 = -6*u - 9*u for u.
0
Solve 80 = 15*f + f for f.
5
Solve 20 = 31*p - 26*p for p.
4
Solve 0 = -0*m - 4*m - 12 for m.
-3
Solve 0 = -15*q + 88 - 13 for q.
5
Solve 46*p = -42*p + 17*p for p.
0
Solve -227*o + 30 = -221*o for o.
5
Solve 2*n = 8*n - n for n.
0
Solve 14*d + 13 = -57 for d.
-5
Solve -6 = 7*w - 9*w for w.
3
Solve -4*o + 327 - 363 = 0 for o.
-9
Solve -25*n + 4 = -29*n for n.
-1
Solve -5*j + 8*j + 15 = 0 for j.
-5
Solve -26 = -15*o + 64 for o.
6
Solve 0 = 83*n + 222 - 1135 for n.
11
Solve 166 - 242 = 38*n for n.
-2
Solve -18*a = -155 + 11 for a.
8
Solve -7*w = 28 + 14 for w.
-6
Solve 26*t + 68 = 9*t for t.
-4
Solve 0 = -68*p + 76*p + 16 for p.
-2
Solve 3*r = -2*r + 10 for r.
2
Solve 0 = -5*w - 0*w - 10 for w.
-2
Solve -6*k - 12 = 24 for k.
-6
Solve 371*i - 11 = 372*i for i.
-11
Solve 3300*a + 6 = 3301*a for a.
6
Solve -5*i - 6716 = -6726 for i.
2
Solve -16 = -4*l - 12 for l.
1
Solve -33*u + 13*u + 80 = 0 for u.
4
Solve 0 = -370*i + 379*i + 90 for i.
-10
Solve 15*u = 22*u - 21 for u.
3
Solve 14 = -12*z - 10 for z.
-2
Solve 16*n + 20 = 6*n for n.
-2
Solve 0 = 65*n - 12*n - 371 for n.
7
Solve 3*o + 88 = 97 for o.
3
Solve -s - 33 = -27 for s.
-6
Solve 16*v + 7*v = 92 for v.
4
Solve -24*q = -25*q for q.
0
Solve 4*z = -9 - 15 for z.
-6
Solve -8 = -39*v - 8 for v.
0
Solve 930 = 26*j - 119*j for j.
-10
Solve -25*j + 12 = -29*j for j.
-3
Solve 0 = -12*d + 99 - 15 for d.
7
Solve 55 = 4*q + 59 for q.
-1
Solve s = -3*s - 8 for s.
-2
Solve 8 = 3*p + 26 for p.
-6
Solve -3 - 15 = 3*f for f.
-6
Solve 8*h = -288 + 272 for h.
-2
Solve -y - 11*y - 5*y = 0 for y.
0
Solve -1 = 2*l - 5 for l.
2
Solve -103*s + 308 = -59*s for s.
7
Solve 0 = g - 49 + 53 for g.
-4
Solve -85*c + 52*c - 198 = 0 for c.
-6
Solve -16*k - 34 = 14 for k.
-3
Solve 62*r = 61*r - 4 for r.
-4
Solve -34*f + 4 = -35*f for f.
-4
Solve 7*c - 24 = -31 for c.
-1
Solve -17*v + 13*v = -28 for v.
7
Solve -433*k = -430*k + 12 for k.
-4
Solve 2*u - 15*u = 39 for u.
-3
Solve 467*i - 462*i = -30 for i.
-6
Solve 293*x = 297*x - 4 for x.
1
Solve 1 = -5*b - 4 for b.
-1
Solve -651 = 13*s - 742 for s.
7
Solve 0 = 16*v - 11*v - 25 for v.
5
Solve 2*l = -l + 9 for l.
3
Solve -8*q - 28 = -q for q.
-4
Solve 0 = -17*r - 202 + 219 for r.
1
Solve -24 = -2*g - 12 for g.
6
Solve 2*o - 7*o = 15 for o.
-3
Solve -10*v = -11*v + 3 for v.
3
Solve -13*r + 9 = -16*r for r.
-3
Solve g = -2*g + 18*g for g.
0
Solve -1493 + 1472 = 3*i for i.
-7
Solve 106*t = 124*t - 90 for t.
5
Solve 8*r - 16 = 4*r for r.
4
Solve -2*u + 66 - 52 = 0 for u.
7
Solve 7 = 3*m + 13 for m.
-2
Solve -61*w = 57 + 4 for w.
-1
Solve -5 = g - 10 for g.
5
Solve 10*k + 171 = 161 for k.
-1
Solve -38 = 10*x - 8 for x.
-3
Solve -16*k + 7 = -9*k for k.
1
Solve 12 = v + 15 for v.
-3
Solve -5*s = 72 - 57 for s.
-3
Solve 2*w = 906 - 918 for w.
-6
Solve 0 = -u - 12*u + 52 for u.
4
Solve -8*v + 35 + 5 = 0 for v.
5
Solve 9*k - 4 = 41 for k.
5
Solve j - 4*j - 3*j = 0 for j.
0
Solve -34*l - 24 = -26*l for l.
-3
Solve 8*v - 13 = 19 for v.
4
Solve y = -9*y + 70 for y.
7
Solve 15 = -23*r + 8*r for r.
-1
Solve 0 = -13*j - 19*j + 32 for j.
1
Solve 46*j - 39*j + 14 = 0 for j.
-2
Solve -7 - 68 = -25*c for c.
3
Solve -9*f = -2*f - 21 for f.
3
Solve -6*q = -3 - 27 for q.
5
Solve 6*q - 6 - 18 = 0 for q.
4
Solve -15*i = 17*i - 224 for i.
7
Solve 0 = 1038*g - 1042*g - 8 for g.
-2
Solve 2 - 14 = -2*w for w.
6
Solve -7*n = -330 + 337 for n.
-1
Solve -2*h + 2 = -4 for h.
3
Solve 29 = 2*u + 13 for u.
8
Solve -3*g = -37 + 34 for g.
1
Solve -10*d + 2 = 62 for d.
-6
Solve 25*z = -28 + 78 for z.
2
Solve 65 + 1 = 22*g for g.
3
Solve -39*z + 34*z + 15 = 0 for z.
3
Solve -2*a = -11 + 3 for a.
4
Solve -22*a + 26*a - 20 = 0 for a.
5
Solve 0 = 11*l + 6 + 16 for l.
-2
Solve 53*l - 126 - 86 = 0 for l.
4
Solve 30*w - 3 = 31*w for w.
-3
Solve 0 = 50*n + 1 - 351 for n.
7
Solve 2*l - 22 = -9*l for l.
2
Solve 10 = -4*l + 22 for l.
3
Solve 3*c = 8*c - 10 for c.
2
Solve 0*l = -8*l + 32 for l.
4
Solve 2*v - 2*v + 4*v = 0 for v.
0
Solve 182*g + 172 = 96*g for g.
-2
Solve -40*g = 8*g + 192 for g.
-4
Solve 21*w - 86 + 2 = 0 for w.
4
Solve 11*w = 20*w + 18 for w.
-2
Solve 36 + 28 = -32*i for i.
-2
Solve 0 = -78*p - 43 - 269 for p.
-4
Solve 0 = -0*a + 9*a - 18 for a.
2
Solve -7*a + 7 = -0*a for a.
1
Solve 0 = -6*r + 11*r for r.
0
Solve 25*t - 238 = -9*t for t.
7
Solve 15*t = -28 + 133 for t.
7
Solve 5*q + 9 + 11 = 0 for q.
-4
Solve -100*j - 842 + 242 = 0 for j.
-6
Solve 59*h = 64*h + 5 for h.
-1
Solve 306 = -58*v + 92*v for v.
9
Solve 4779*i - 8 = 4777*i for i.
4
Solve 39*t = -5*t for t.
0
Solve -108 = 70*p + 172 for p.
-4
Solve 27*b = 26*b - 4 for b.
-4
Solve -464*a + 423*a = -410 for a.
10
Solve 10*u = 10 - 20 for u.
-1
Solve -4*o - 18 = -7*o for o.
6
Solve 36 = 301*x - 313*x for x.
-3
Solve w - 22 = -24 for w.
-2
Solve 0 = 78*l - 58 - 98 for l.
2
Solve 45*o = 47*o + 4 for o.
-2
Solve 112 + 68 = 36*c for c.
5
Solve 205 = 80*u - 115 for u.
4
Solve 11*p + 18 - 62 = 0 for p.
4
Solve 0 = 105*f - 118*f - 78 for f.
-6
Solve -9878*d = -9882*d + 44 for d.
11
Solve 0 = 4*p - 6 - 14 for p.
5
Solve 8 - 4 = -z for z.
-4
Solve 152 = 18*d + 98 for d.
3
Solve 25*k - 79 = -179 for k.
-4
Solve 13*a + 7 = 6*a for a.
-1
Solve 4 = -3*y + 22 for y.
6
Solve 92 = -7*j - 39*j for j.
-2
Solve -46*a = -51*a - 15 for a.
-3
Solve -13*w = -14*w - 10*w for w.
0
Solve -36*k - 8 + 116 = 0 for k.
3
Solve 34*w - 671 = -27*w for w.
11
Solve -3 = -21*x + 123 for x.
6
Solve -19 = -j - 17 for j.
2
Solve 13*i - 16*i - 15 = 0 for i.
-5
Solve -3*d - 3 = -9 for d.
2
Solve 4*p = -198 + 178 for p.
-5
Solve 0 = 5263*p - 5279*p + 176 for p.
11
Solve 49*c + 42 = 43*c for c.
-7
Solve 0 = 8*y + 10*y - 126 for y.
7
Solve 45*x = 48*x + 9 for x.
-3
Solve 0 = 15*j - 34*j for j.
0
Solve 6 = 24*h + 102 for h.
-4
Solve -2*p = -5*p + 5*p for p.
0
Solve 14 - 4 = 5*g for g.
2
Solve 1056*l + 8 = 1052*l for l.
-2
Solve -i + 13 = 8 for i.
5
Solve -38 = -p - 41 for p.
-3
Solve 12*w + 1 = 11*w for w.
-1
Solve 5*l + 3 = -7 for l.
-2
Solve 60 = 161*j - 101 for j.
1
Solve 0 = -26*z + 10*z + 96 for z.
6
Solve 212*z + 10 = 214*z for z.
5
Solve 0 = -32*a + 43*a for a.
0
Solve 148*b - 82 + 378 = 0 for b.
-2
Solve 0 = -296*l + 315*l - 19 for l.
1
Solve -1 = -12*d - 37 for
|
{
"pile_set_name": "DM Mathematics"
}
|
128.3 - 128. Which is the third biggest value? (a) p (b) 2/3 (c) -7
c
Let h be (-5)/3 + ((-6)/14 - (-46)/42). Let j = 2913/11 + -265. Which is the fourth biggest value? (a) -2/15 (b) h (c) 0.4 (d) j
b
Let k = -129 + 122. What is the third smallest value in -5, k, 1/8?
1/8
Let h = -3/185 - -191/370. What is the smallest value in h, 3/40, 0.4?
3/40
Let o = 5/723 + 57/3374. Which is the third biggest value? (a) -0.5 (b) o (c) -1.6
c
Let y(x) = x + 13. Let d be y(-11). Let s be (3/5)/(0 - 3/d). Which is the second biggest value? (a) -9 (b) 2/15 (c) s
c
Let j = -3936.02 - -3904. Let n = -5.12 - j. Let o = 27 - n. Which is the third biggest value? (a) -2/15 (b) o (c) 1/3
a
Let j = 18 + -16. Which is the second smallest value? (a) 0.5 (b) -2 (c) -1 (d) j
c
Let n = 8.6 + -8.3. Let l = 11 - 89/8. What is the fourth smallest value in l, 6, n, -3?
6
Let o = -523 - -522.5. Which is the third biggest value? (a) -1 (b) -5 (c) o (d) 0.161
a
Let f(s) = -s + 8. Let w be f(7). What is the third smallest value in -6/31, w, 2/7?
w
Let w = -0.25 - 0.06. Let x = w - 0.09. Which is the third biggest value? (a) -4 (b) 0.2 (c) x
a
Let n = 75 + -75. What is the fourth biggest value in n, 1/8, 2/13, 0.3?
n
Let z = -175 + 6127/35. What is the third biggest value in -2/3, 2/13, z, -1/6?
-1/6
Let z = 31.78 - 0.78. Let r = -31 + z. What is the third biggest value in -1/5, r, 0.1?
-1/5
Let s = 0.81 + -0.01. Let i = -2.1 - -3.1. Let d = i - s. What is the second smallest value in 0.4, 2, d?
0.4
Let t(r) = -2*r**3 - 16*r**2 - r - 3. Let k be t(-8). Which is the second smallest value? (a) -1/2 (b) 1/3 (c) k (d) -1.1
a
Let u = 7/68 + 87/476. What is the second smallest value in u, 7, 0.4?
0.4
Let o = 513 + -507. Let r = -314/11 - -28. Which is the third biggest value? (a) r (b) o (c) -4 (d) -5/2
d
Let l be 3 + 48/(-27) - 1. Let p = 1.6 - 1.9. Suppose 0 = 4*t - 16, -5*o + 7*t - 51 = 3*t. What is the second smallest value in l, o, p?
p
Suppose -107*v = -106*v - 3. Which is the third biggest value? (a) -0.14 (b) 5 (c) v
a
Let x be (1 - 4)/(-3 + 72/(-16)). Which is the third biggest value? (a) 2 (b) -3 (c) x (d) -4/3
d
Let d = 0.3 + -1.3. Let y = -0.04404 - -5.04404. Let a be -3 + (-2 - 18/(-8)). What is the third smallest value in d, y, a?
y
Let y = -6523 - -45569/7. Which is the smallest value? (a) y (b) -0.3 (c) -2/5
a
Let m = -6713 - -6709. Let y be ((-2)/5)/((-1)/(-5)). Which is the fourth biggest value? (a) y (b) m (c) 1/2 (d) 5
b
Let w = -1.7 + 1.8. Let d = -10 + 15. Which is the third biggest value? (a) d (b) w (c) -1/9
c
Suppose -4 + 11 = -5*t + g, -5*t = g - 7. Let s be 10/(-15) - 1/(-3). What is the third biggest value in s, 1, t?
s
Let r = -2.2 + 0.38. Let g = 0.18 - r. Let n = 36 + -32. What is the third biggest value in -3, g, n?
-3
Let l = 11.632 + 0.068. Let x = -11.9 - 0.1. Let v = x + l. What is the biggest value in -0.1, v, 2?
2
Let u = 22 - 24.2. Let s = -30.5 + 28.7. Let k = u + s. What is the smallest value in k, 2/19, 1?
k
Let u = 51 + -50.96. What is the second biggest value in u, -5, 0.05?
u
Let z = -75 - -75.3. Which is the smallest value? (a) -12 (b) -2/9 (c) z
a
Let o = -210 + 210. What is the second biggest value in -0.3, o, 1/5?
o
Suppose -5*r = -13 - 7. Let i = -334 - -198. Let m = 135.5 + i. What is the third smallest value in r, 0, m?
r
Let i = 8 - 19.6. Let j = 2.4 - i. Let o = j - 12. What is the smallest value in o, 3/2, -6?
-6
Let u = 0.475 - 0.775. Which is the second smallest value? (a) u (b) 18 (c) -3 (d) 0.5
a
Let g = 281.1 - 320. Let k = g + 39. Which is the third smallest value? (a) k (b) 5 (c) 5/2
b
Let r = 5 - 3. Let j be ((-2)/(-10))/(-1 + r). Let o be 5/(-1) + (-63)/(-12). What is the biggest value in j, o, -2/5?
o
Let x be 5*((-501)/165 + 3). Let a = -138 + 135. What is the third biggest value in a, 1/5, x?
a
Let f = 0.4 - 0. Let q = -0.0959 - -4.0959. What is the third smallest value in f, 0.1, q, 3/5?
3/5
Let s be (1*((-51)/(-12) - 4))/(-1). Let g = -11 + 8. What is the second smallest value in s, g, 4?
s
Let p = -59.3 + 64.3. What is the smallest value in 3, p, -447, -1?
-447
Let t = -26 + 24. Let n be t/6 + 20/24. What is the smallest value in n, 7, 0.4?
0.4
Suppose 0*m + 5*x + 17 = -4*m, m = -x - 3. What is the fourth biggest value in -1, 1, m, 0?
-1
Let v be (8/6 + -1)*(-81)/(-45). Which is the second biggest value? (a) 2 (b) 0.04 (c) v (d) -0.4
c
Let p = -6777.5 + 6778. Let z = -334/5 + 67. Which is the third biggest value? (a) 5 (b) 4 (c) p (d) z
c
Let w = -346 + 4497/13. Let r = -40.6 + 41. Which is the smallest value? (a) -1/8 (b) 1 (c) r (d) w
a
Let q = 209/120 - 15/8. Let m = 3 - 3. Which is the smallest value? (a) -1/5 (b) m (c) q
a
Let x = -249/4 + 62. Let g = 124 + -119. Which is the second smallest value? (a) x (b) 1 (c) g (d) -0.4
a
Let c be (1 - -1)/((-27)/((-459)/136)). Let v = 944/1085 + -2/155. What is the third smallest value in v, 0.4, c?
v
Let l = 1/20 + -1/4. Let u = -5 + 5. Let q = u - 1/14. Which is the third biggest value? (a) -1 (b) q (c) l
a
Let y = -908 + 905. What is the fourth biggest value in y, -2/7, -4, 22?
-4
Let j = 0.2329 - 0.2329. Let k(d) = d**2 + 2*d - 1. Let n be k(-3). Let m be (4/8)/(n/(-8)). Which is the smallest value? (a) j (b) 1/11 (c) m
c
Suppose 0 = 5*r + v + 4, -3*r = -r - 2*v + 4. Which is the third smallest value? (a) 83 (b) -1/5 (c) r
a
Let i = -44.7 - -45. Let d = -29.4 - -33. Let n = d - 4.1. Which is the second biggest value? (a) n (b) -3/7 (c) i
b
Let w = 201/394 + -2/197. What is the biggest value in -0.2, 0.2, 0.3, w?
w
Let j = 1/468 + -941/2340. Which is the second smallest value? (a) -2/11 (b) -1/3 (c) -23 (d) j
d
Let s(u) = -2*u**2 + 3*u - 2. Let l = 9 - 7. Let m be s(l). Let q(b) = 3*b + 13. Let j be q(m). What is the second biggest value in j, 2, 3?
2
Let n = -13 + 8. Let g = n + 4.7. Suppose 23*j + 45 = 32*j. Which is the second biggest value? (a) -0.2 (b) g (c) j
a
Let s be 185/(-1332)*(-4)/(-10). What is the fourth smallest value in 0.4, 1/9, 0.1, s?
0.4
Let o = 1099.87 + -1100. Suppose i + 0*i + 13 = 3*u, 3*i - 5*u + 23 = 0. Let z = i + 0. Which is the biggest value? (a) z (b) 0.3 (c) o
b
Suppose 27*j = 3*j - 11*j. Which is the biggest value? (a) -7/4 (b) j (c) -1/6
b
Let p = 147.7 + -147.8. What is the second smallest value in p, 4/41, 1/5?
4/41
Suppose 0 = -6*p + 129 - 213. Which is the third smallest value? (a) p (b) 6/7 (c) 0.4
b
Let p = -5 - 0. Let o = -147 + 5. Let i = o + 142.07. What is the third smallest value in -1/5, i, p?
i
Suppose 3*i + y = 3*y - 3, -2*y - 6 = 0. Let c be 34*i*4/(-24). Let k be c/55 - 2/5. What is the biggest value in 3, k, -3?
3
Let s = -143/3 - -48. What is the biggest value in -5, s, -0.2?
s
Let j = 39 - 37. Let t = -7.3 - -5.3. Which is the fourth biggest value? (a) j (b) 4 (c) -0.4 (d) t
d
Let n(f) = 34*f + 1848. Let j be n(-55). Suppose -2*p + 5 = -7*p. Which is the smallest value? (a) 0 (b) -1/4 (c) p (d) j
d
Suppose -5*x - 11 = 4. Let t be (2 + x)*14/4. Let s = 29/6 + t. Which is the biggest value? (a) 0.3 (b) 1/3 (c) s
c
Let o = 22.5 - 22.6. What is the fourth biggest value in -3, o, -5, -0.9?
-5
Let p = 78 + -78.7. Let r = -34.3 - -32. Let m = r + p. Which is the biggest value? (a) 0.4 (b) -1/3 (c) m
a
Suppose -v + 3*s = 4*v - 18, 5*v - 16 = s. Let p = -103.22 + 103. Which is the smallest value? (a) 1 (b) p (c) v
b
Let p = 20962/9 - 2332. Let a = -148/45 - p. What is the fourth smallest value in a, 0.1, 5, 2?
5
Let v = -7 - -3. Suppose -4 = 3*q - 1. Let f be (q/(-3))/((-5)/(-50)*-2). What is the third biggest value in 4, f, v?
v
Let d = -53/2 - -27. Let b be -35*((-33)/(-18) + -2). Let r = b - 443/78. What is the biggest value in r, 5, d?
5
Let j = 1627 + -1622. What is the third smallest value in 154, j, 0.1, 2/17?
j
Let c = 522.92 - 523. Let n = 0.11 - 0.41. What is the second biggest value in 0, c, n?
c
Suppose -2*b - m = 4*m - 34, 5*b - m - 58 = 0. Let f = -99.73 + -0.07. Let w = 100 + f. What is the smallest value in b, -0.5, w?
-0.5
Let p be (-3 - -6) + (-2 - -47). Let m = -53 + p. Which is the third biggest value? (a) 54 (b) -1/11 (c) m
c
Let n be 1/4 - (-1)/28. Let q = 75 - 76. Which is t
|
{
"pile_set_name": "DM Mathematics"
}
|
*2 - 2650*n**2 + 430*n**2.
-13*n**2
Collect the terms in -37*w + 46*w + 3*w**2 - 33*w**2 - 6 - 87*w**3 + 2.
-87*w**3 - 30*w**2 + 9*w - 4
Collect the terms in 77600*s - 25734*s - 25738*s - 26124*s.
4*s
Collect the terms in -19*o + 157 + 25548*o**2 - 2*o - 25561*o**2 - 20*o - 157.
-13*o**2 - 41*o
Collect the terms in -222210*s**3 + 3 + 222222*s**3 - 3 - 1 + 1.
12*s**3
Collect the terms in -133 + 366 - 114 - 119 - 579*s**3.
-579*s**3
Collect the terms in 10*r + 241*r**3 - 243*r**3 - 11*r**2 - 8*r - 4*r + 2*r.
-2*r**3 - 11*r**2
Collect the terms in -60*u - 20 - 46*u + 11 + 57*u - 60*u + 10.
-109*u + 1
Collect the terms in -26*o - 146*o + 28*o - 3*o + 18*o.
-129*o
Collect the terms in -872*f**2 - 940*f**2 + 1602*f**2.
-210*f**2
Collect the terms in 717 + 546635*y - 546634*y - 9106.
y - 8389
Collect the terms in k + 9*k**2 + 2*k + 6*k**3 + 121 + 125 - 2*k**3.
4*k**3 + 9*k**2 + 3*k + 246
Collect the terms in 25*v**3 - 103*v**3 - 112 + v**2 - 261*v**3.
-339*v**3 + v**2 - 112
Collect the terms in -963493 + 963493 + 162*o**2 - 161*o**2.
o**2
Collect the terms in 2108*b - 700*b - 720*b - 695*b.
-7*b
Collect the terms in 3*c - 3*c - 150995*c**3 - 34*c**2 + 34*c**2.
-150995*c**3
Collect the terms in -1159*n + 530 + 18619*n - 530 + 1923*n.
19383*n
Collect the terms in -346*r**2 + 21 - 40 + 57*r**2 + 6*r**3 + 20.
6*r**3 - 289*r**2 + 1
Collect the terms in 12662*a - 24776*a + 13002*a.
888*a
Collect the terms in 420*r**2 - 3170*r**2 - 4712*r**2.
-7462*r**2
Collect the terms in 60354220*j + 2321*j**2 - 60354220*j.
2321*j**2
Collect the terms in 54*b + 40*b - 16*b - 522*b.
-444*b
Collect the terms in 57*f**2 + 43 + 16*f**2 - 67*f**2.
6*f**2 + 43
Collect the terms in -536*o + 1349*o - 3063*o - 2200*o.
-4450*o
Collect the terms in -6 - 1004*y**3 + 1779*y**3 + 1844*y**2 - 1844*y**2 + 6.
775*y**3
Collect the terms in -57 - 6 - 4*j + 11*j + 5 + 19.
7*j - 39
Collect the terms in -169 + 392 - 109 + 6*l**2 - 115.
6*l**2 - 1
Collect the terms in -2*p**2 + 59*p**3 + 2965 - 2965 - p**2 + 3*p**2.
59*p**3
Collect the terms in 2*z**3 - 6*z**3 - 71002*z**2 + 7178*z**2 + z**3.
-3*z**3 - 63824*z**2
Collect the terms in 161*n**2 - 1206570*n + 1206570*n.
161*n**2
Collect the terms in 179*q**2 - 630*q**2 + 175*q**2 + 117*q**2 + 163*q**2.
4*q**2
Collect the terms in -40*l + 10*l + 112 + 7*l + l - 112 + 24*l.
2*l
Collect the terms in -3 - 16859*y**2 + 3 + 19651*y**2.
2792*y**2
Collect the terms in 6*n + 28 + 35 + 8*n + 52 + 40 - 139.
14*n + 16
Collect the terms in 6047412932*a**3 + 0 + 3 - 6047412928*a**3.
4*a**3 + 3
Collect the terms in -2050 + 8743 - 3344 + 16*s - 3349 - 16*s - 2*s**3.
-2*s**3
Collect the terms in 3800*t**3 - 12677*t**3 + 4437*t**3 + 4419*t**3.
-21*t**3
Collect the terms in -1162016831*u**2 - 1162016813*u**2 + 3*u**3 + 2324033644*u**2.
3*u**3
Collect the terms in 244027 - 1189*v - 244027 + 4*v.
-1185*v
Collect the terms in 102 + 124*j - 102 - 135*j - 138*j.
-149*j
Collect the terms in -2*l**2 + 13*l**3 - 15*l**3 + 0 - 2802*l - 1 + 3 - 12661*l.
-2*l**3 - 2*l**2 - 15463*l + 2
Collect the terms in -2 - 39*u**2 + 243*u**2 - 6 - 2 + 0 + u**3.
u**3 + 204*u**2 - 10
Collect the terms in 367756*s + 367754*s + 367752*s + 367750*s - 1838774*s + 367760*s.
-2*s
Collect the terms in 2117*t**2 + 2112*t**2 - 6307*t**2 + 2106*t**2.
28*t**2
Collect the terms in 4268*g**2 + 13158*g**2 + 15496*g**2 - 2238*g**2.
30684*g**2
Collect the terms in -78 + 78 + 5266*r**2 - 1767*r**2.
3499*r**2
Collect the terms in -27286*q - 6695*q - 4061*q.
-38042*q
Collect the terms in 42311 + 2912225*z**3 - 42311 - 2912224*z**3.
z**3
Collect the terms in 10 - 9 + 17*r + 5 + 21 + 13.
17*r + 40
Collect the terms in -3113*u - 5114*u**2 + 3113*u + 2.
-5114*u**2 + 2
Collect the terms in -1080*t - 1 - 415*t + 2177*t + 4*t**2.
4*t**2 + 682*t - 1
Collect the terms in 139*b**2 + 874*b**2 - 363*b**2 + 487*b**2 + 1346*b**2.
2483*b**2
Collect the terms in -17374*n + 39*n - 13580*n - 397*n.
-31312*n
Collect the terms in -362*z**2 - 358*z**2 - 357*z**2 + 386*z**2 - 350*z**2 + 1050*z**2.
9*z**2
Collect the terms in -1472*o + 1381*o + 77*o.
-14*o
Collect the terms in -1835*k**3 - 813*k**3 - 18 + 18.
-2648*k**3
Collect the terms in -3*d**2 + 3*d**2 - 82872*d**3 - 35568*d**3.
-118440*d**3
Collect the terms in -2851848*r - 1940739*r + 937845*r.
-3854742*r
Collect the terms in 2476*s**3 + 100*s**3 - 2578*s**3.
-2*s**3
Collect the terms in -214148*n**2 + 106966*n**2 - 3 + 107181*n**2.
-n**2 - 3
Collect the terms in -49 + 21 - 86 - 13*y - 70.
-13*y - 184
Collect the terms in -586*b - 1117*b - 2 - 1696*b.
-3399*b - 2
Collect the terms in 1560*t + 654366 + 654364 - 1308730.
1560*t
Collect the terms in 151948*c - 3 - 303876*c + 3 + 151925*c + 1 - 1.
-3*c
Collect the terms in 663917*y - 331959*y - 7*y**2 + y**2 - 331958*y + 5*y**2.
-y**2
Collect the terms in 0*x**3 - 4828*x - 3*x**3 + 2 + 6*x**3 + 529*x.
3*x**3 - 4299*x + 2
Collect the terms in -55*k**3 + 27*k + 30*k**3 + 26*k - 12*k**3.
-37*k**3 + 53*k
Collect the terms in -7985*n - 8134*n + 24225*n - 7985*n.
121*n
Collect the terms in -1 - 82441123*a**3 + 2 - 1.
-82441123*a**3
Collect the terms in -29100*z + 28522*z + 21004*z + 35161*z.
55587*z
Collect the terms in 547*d + 496*d - 1586*d + 506*d.
-37*d
Collect the terms in 69340*t**3 - 137530*t**3 + 68189*t**3 + 48*t**2.
-t**3 + 48*t**2
Collect the terms in -31*u - 3 + 6*u - 6 + 87 - 76 + 0.
-25*u + 2
Collect the terms in 1238 - 1238 - 48*z - 19*z.
-67*z
Collect the terms in 9*p - 10*p - 5 + 4 + 218837*p**2.
218837*p**2 - p - 1
Collect the terms in 27*y**2 - 41*y**2 + 23624311 - 23624311 + 23*y**2.
9*y**2
Collect the terms in -4 - x - 12 - 14 + 2 - 7.
-x - 35
Collect the terms in -36 + 100 - 29 - 563*k - 35 - 606*k + 1161*k.
-8*k
Collect the terms in 27*k**2 - 105857*k + 317766*k - 7*k**2 - 105954*k - 105955*k.
20*k**2
Collect the terms in 1854*z + 1857*z - 5907*z + 2202*z.
6*z
Collect the terms in -166*s**3 - 207*s + 84*s + 39*s + 84*s.
-166*s**3
Collect the terms in -94 + 249 - 397*g**3 - 101 - 54 + 401*g**3.
4*g**3
Collect the terms in 1172445*p + 1170343*p - 2342778*p.
10*p
Collect the terms in -8*g - 86 - 8*g - 4*g + 48 + 24*g.
4*g - 38
Collect the terms in -1111971 - 408*n**2 + 1111971.
-408*n**2
Collect the terms in -j**2 - 4009*j**3 - 122*j + 4069*j**3 + j**2 + 122*j.
60*j**3
Collect the terms in 6 - 116 - 88*m + 20 - 16 - 104.
-88*m - 210
Collect the terms in 34*v**3 + v**3 + 10*v**3 + 3 - 27*v - 8*v**3 + 12*v**2 - 9*v**2.
37*v**3 + 3*v**2 - 27*v + 3
Collect the terms in 0*q**2 - 100*q**3 + 6*q**2 - 14 + 98*q**3 - 4*q**2 - 30.
-2*q**3 + 2*q**2 - 44
Collect the terms in 8 + 107 - 29043*w + 14523*w + 14522*w - 20.
2*w + 95
Collect the terms in -221268*r + 109091*r + 109013*r.
-3164*r
Collect the terms in -5*i + 13*i - 2*i - 6*i - 2046131*i**2.
-2046131*i**2
Collect the terms in -2522*a**2 - 4 - 8324*a**2 - 16181*a**2.
-27027*a**2 - 4
Collect the terms in -3 - 4 + 12 - 3 + 132*s**2 - 531*s + 528*s.
132*s**2 - 3*s + 2
Collect the terms in -2*c**2 - 500300 - 2*c**3 + 500300 + 2*c**2.
-2*c**3
Collect the terms in -33327*m**2 - 33334*m**2 - 33332*m**2 + 166578*m**2 - 33328*m**2 - 33256*m**2.
m**2
Collect the terms in 13*n**2 - 4709*n - 27*n**2 + 5*n**2 + 533*n + 8*n**2.
-n**2 - 4176*n
Collect the terms in -18*z - 1854 + 26*z - 55*z + 1854.
-47*z
Collect the terms in 165*n**2 - 24*n**2 - 24*n**2 - 94*n**2 - 18*n**2 - 26*n**2.
-21*n**2
Collect the terms in 152860 + 104*w - 103*w - 156618.
w - 3758
Collect the terms in -2 - 63*z**2 + z + 1157*z**2 - z + 486*z**2.
1580*z**2 - 2
Collect the terms in -28443*h**2 - 25679*h**2 + 2512*h**2.
-51610*h**2
Collect the terms in 1044 + 1256 + 10*f - 2301.
10*f - 1
Collect the terms in 12*x**2 + 10*x**2 - 17*x**3 + 23*x**3 - 27*x**2 + 11*x**3.
17*x**3 - 5*x**2
Collect the terms in -973*v**3 + 18928*v**2 - 1500*v**3 + 805*v**3 - 18930*v**2.
-1668*v**3 - 2*v**2
Collect the terms in 225*n**3 - 285*n**3 + 61*n**3 - 125*n - 73*n.
n**3 - 198*n
Collect the terms in 2*h**3 + 262070*h + 262074*h + 4*h**3 - 524144*h.
6*h**3
Collect the terms in 23*i**2 - 3*i + 3*i - 21*i**2 + 1 + 173*i**2 - 86*i**2.
89*i**2 + 1
Collect the terms in -34*x - 79376578 + 79376578.
-34*x
Collect the terms in 9018*g**2 + 487 - 986 - 3*g + 497.
9018*g**2 - 3*g - 2
Collect the terms in -128*b + 490*b - 124*b + 22 - 123*b -
|
{
"pile_set_name": "DM Mathematics"
}
|
1, -4588?
-847*a - 353
What is the w'th term of 132883, 265759, 398635, 531511?
132876*w + 7
What is the j'th term of 2055, 4138, 6221, 8304?
2083*j - 28
What is the w'th term of -12801, -51247, -115319, -205011, -320317, -461231?
w**3 - 12819*w**2 + 4*w + 13
What is the z'th term of -1729, -1730, -1723, -1702, -1661, -1594, -1495?
z**3 - 2*z**2 - 2*z - 1726
What is the o'th term of 967, 960, 955, 952, 951?
o**2 - 10*o + 976
What is the n'th term of -21211, -21203, -21195, -21187?
8*n - 21219
What is the l'th term of 1026, 1078, 1152, 1254, 1390, 1566, 1788?
l**3 + 5*l**2 + 30*l + 990
What is the o'th term of -1451, -1655, -1991, -2453, -3035, -3731, -4535, -5441?
o**3 - 72*o**2 + 5*o - 1385
What is the f'th term of -2193561, -2193559, -2193557, -2193555, -2193553?
2*f - 2193563
What is the s'th term of 46, 105, 162, 199, 198, 141, 10?
-3*s**3 + 17*s**2 + 29*s + 3
What is the q'th term of 4519, 4478, 4437, 4396?
-41*q + 4560
What is the q'th term of -24961, -24908, -24759, -24466, -23981, -23256, -22243?
8*q**3 - 3*q - 24966
What is the i'th term of 3100, 6259, 9410, 12553?
-4*i**2 + 3171*i - 67
What is the s'th term of 10, -23, -108, -269, -530, -915?
-4*s**3 - 2*s**2 + s + 15
What is the a'th term of 3861, 3820, 3793, 3786, 3805?
a**3 + a**2 - 51*a + 3910
What is the j'th term of 38, 84, 154, 254, 390, 568, 794, 1074?
j**3 + 6*j**2 + 21*j + 10
What is the k'th term of -45, -167, -449, -951, -1733?
-10*k**3 - 20*k**2 + 8*k - 23
What is the r'th term of 250, 389, 534, 679, 818, 945, 1054, 1139?
-r**3 + 9*r**2 + 119*r + 123
What is the t'th term of 1224, 4892, 10982, 19488, 30404?
-t**3 + 1217*t**2 + 24*t - 16
What is the d'th term of -13, 11, 105, 305, 647, 1167, 1901?
6*d**3 - d**2 - 15*d - 3
What is the y'th term of -14266, -28525, -42780, -57031, -71278, -85521, -99760?
2*y**2 - 14265*y - 3
What is the n'th term of -8572, -17133, -25712, -34309, -42924, -51557, -60208?
-9*n**2 - 8534*n - 29
What is the j'th term of -55, -158, -355, -694, -1223?
-8*j**3 + j**2 - 50*j + 2
What is the s'th term of -1521, -1588, -1653, -1716, -1777, -1836, -1893?
s**2 - 70*s - 1452
What is the a'th term of -549, -833, -1117, -1401, -1685?
-284*a - 265
What is the r'th term of -26202, -26177, -26152, -26127, -26102?
25*r - 26227
What is the o'th term of 1597, 6684, 15141, 26962, 42141, 60672, 82549, 107766?
-o**3 + 1691*o**2 + 21*o - 114
What is the t'th term of -395, -758, -1095, -1400, -1667, -1890?
t**3 + 7*t**2 - 391*t - 12
What is the b'th term of -87, -102, -113, -120, -123, -122?
2*b**2 - 21*b - 68
What is the b'th term of 591, 1181, 1775, 2379, 2999, 3641, 4311?
b**3 - 4*b**2 + 595*b - 1
What is the g'th term of -206, -804, -1818, -3260, -5142?
-2*g**3 - 196*g**2 + 4*g - 12
What is the v'th term of 3162, 3144, 3092, 2988, 2814, 2552?
-3*v**3 + v**2 + 3164
What is the v'th term of -1773, -1803, -1853, -1923, -2013, -2123, -2253?
-10*v**2 - 1763
What is the l'th term of -3643235, -3643234, -3643233?
l - 3643236
What is the c'th term of -119, -247, -379, -515, -655, -799, -947?
-2*c**2 - 122*c + 5
What is the g'th term of -227, -203, -179?
24*g - 251
What is the f'th term of -92954, -92957, -92960, -92963, -92966?
-3*f - 92951
What is the o'th term of -89, -368, -867, -1610, -2621?
-4*o**3 - 86*o**2 + 7*o - 6
What is the c'th term of 191, 396, 601, 806, 1011, 1216?
205*c - 14
What is the s'th term of -565, -588, -647, -760, -945, -1220?
-3*s**3 - 2*s - 560
What is the j'th term of -259, -524, -785, -1036, -1271?
j**3 - 4*j**2 - 260*j + 4
What is the r'th term of 9739, 9741, 9743, 9745, 9747?
2*r + 9737
What is the n'th term of 72, -161, -558, -1125, -1868?
-n**3 - 76*n**2 + 2*n + 147
What is the l'th term of -124, -499, -1130, -2023, -3184, -4619, -6334?
-l**3 - 122*l**2 - 2*l + 1
What is the h'th term of -57475, -114956, -172439, -229924?
-h**2 - 57478*h + 4
What is the t'th term of -1773, -1768, -1759, -1746?
2*t**2 - t - 1774
What is the z'th term of 54, 94, 120, 126, 106, 54?
-z**3 - z**2 + 50*z + 6
What is the h'th term of -3846, -3818, -3790, -3762?
28*h - 3874
What is the q'th term of -1098, -1077, -1032, -957, -846, -693?
q**3 + 6*q**2 - 4*q - 1101
What is the t'th term of 1177, 2375, 3573, 4771?
1198*t - 21
What is the c'th term of -83142, -332555, -748244, -1330209, -2078450?
-83138*c**2 + c - 5
What is the m'th term of -1486313, -1486314, -1486315, -1486316, -1486317?
-m - 1486312
What is the d'th term of -911162, -1822320, -2733476, -3644630, -4555782?
d**2 - 911161*d - 2
What is the b'th term of -199, -448, -753, -1114, -1531?
-28*b**2 - 165*b - 6
What is the w'th term of -27069, -53972, -80875, -107778, -134681, -161584?
-26903*w - 166
What is the g'th term of 724, 986, 1434, 2074, 2912, 3954, 5206, 6674?
g**3 + 87*g**2 - 6*g + 642
What is the m'th term of 459717, 919433, 1379149, 1838865, 2298581?
459716*m + 1
What is the p'th term of -7435, -7297, -7161, -7027, -6895, -6765, -6637?
-p**2 + 141*p - 7575
What is the w'th term of 47765, 47765, 47773, 47795, 47837?
w**3 - 2*w**2 - w + 47767
What is the x'th term of -1217, -1339, -1461, -1583, -1705?
-122*x - 1095
What is the u'th term of 197, 1452, 4829, 11390, 22197, 38312?
177*u**3 - u**2 + 19*u + 2
What is the u'th term of -6056, -6122, -6188?
-66*u - 5990
What is the k'th term of -200, -128, -56?
72*k - 272
What is the w'th term of 184, 177, 170, 163?
-7*w + 191
What is the i'th term of 11034, 11068, 11102?
34*i + 11000
What is the t'th term of 44044, 88094, 132144?
44050*t - 6
What is the n'th term of -373, -752, -1127, -1498?
2*n**2 - 385*n + 10
What is the l'th term of -628191, -1256387, -1884583?
-628196*l + 5
What is the k'th term of 55310, 55311, 55312, 55313, 55314, 55315?
k + 55309
What is the f'th term of -259262, -518532, -777806, -1037084, -1296366, -1555652?
-2*f**2 - 259264*f + 4
What is the n'th term of -297, -430, -561, -690?
n**2 - 136*n - 162
What is the k'th term of -651519, -651518, -651517, -651516?
k - 651520
What is the t'th term of 368408, 736817, 1105226?
368409*t - 1
What is the p'th term of -27541, -27538, -27535, -27532, -27529, -27526?
3*p - 27544
What is the r'th term of 1513, 1473, 1433, 1393, 1353, 1313?
-40*r + 1553
What is the b'th term of -1156, -4623, -10402, -18493, -28896, -41611, -56638?
-1156*b**2 + b - 1
What is the j'th term of -148468, -148450, -148420, -148378, -148324, -148258?
6*j**2 - 148474
What is the x'th term of 3751, 3730, 3707, 3688, 3679?
x**3 - 7*x**2 - 7*x + 3764
What is the q'th term of 15165, 15163, 15159, 15153, 15145, 15135, 15123?
-q**2 + q + 15165
What is the q'th term of -50, 383, 1160, 2281, 3746?
172*q**2 - 83*q - 139
What is the t'th term of 30158, 60322, 90486?
30164*t - 6
What is the l'th term of -1683, -3188, -4619, -5940, -7115, -8108, -8883, -9404?
6*l**3 + l**2 - 1550*l - 140
What is the m'th term of 57, 52, 29, -24, -119, -268, -483?
-2*m**3 + 3*m**2 + 56
What is the u'th term of -6945, -6827, -6733, -6675, -6665, -6715?
-2*u**3 + 132*u - 7075
What is the u'th term of -616, -1253, -1952, -2743, -3656, -4721?
-5*u**3 - u**2 - 599*u - 11
What is the v'th term of 75, 135, 223, 357, 555, 835, 1215?
3*v**3 - 4*v**2 + 51*v + 25
What is the m'th term of -20625, -41250, -61875, -82500?
-20625*m
What is the q'th term of 648816, 648822, 648830, 648840, 648852, 648866, 648882?
q**2 + 3*q + 648812
What is the k'th term of -2940, -2936, -2932, -2928?
4*k - 2944
What is the i'th term of 5021, 5024, 5031, 5042, 5057, 5076?
2*i**2 - 3*i + 5022
What is the g'th term of -514, -2350, -5410, -9694, -15202?
-612*g**2 + 98
What is the m'th term of 1979, 2010, 2031, 2042, 2043, 2034?
-5*m**2 + 46*m + 1938
What is the k'th term of -105647, -105644, -105627, -105590, -105527?
k**3 + k**2 - 7*k - 105642
What is the y'th term of -10062, -20122, -30184, -40248, -50314, -60382?
-y**2 - 10057*y - 4
What is the l'th term of 4721, 9489, 14259, 19037, 23829, 28641?
l**3 - 5*l**2 + 4776*l - 51
What is the p'th term of -251, -1070, -2451, -4388, -6875, -9906?
p**3 - 287*p**2 + 35*p
What is the n'th term of 6609, 6575, 6541?
-34*n + 6643
What is the z'th term of -5822, -11637, -17452, -23267, -29082?
-5815*z - 7
What is the r'th term of -987, -1883, -2779?
-896*r - 91
What is the s'th term of -642, -1137, -1634, -2133, -2634, -3137, -3642?
-s**2 - 492
|
{
"pile_set_name": "DM Mathematics"
}
|
ird derivative of 1/8*v**4 + 0*v**3 + 0*v + q*v**2 + 0. Calculate x(u(b)).
-3*b
Let w(o) = 3*o - 2*o + 6*o. Let v(a) = -6*a + a + 10*a - 2*a. Give v(w(c)).
21*c
Let z(c) = 156*c. Let i(d) = 5*d. Determine i(z(u)).
780*u
Let f(l) = -7*l. Let g(x) = 9*x**2 - 7*x + 7. Let h(t) = -5*t**2 + 4*t - 4. Let y(v) = 4*g(v) + 7*h(v). Give y(f(o)).
49*o**2
Let p(k) = k**2. Let v(o) = o**2 + o. Let x(b) = 3*b**2 + 2*b. Suppose -3*r = -0*r - 6. Let h(s) = r*v(s) - x(s). Calculate h(p(m)).
-m**4
Suppose 4*j - 14 = -2. Let x be (20 + (j - 3))/2. Let v(n) = -2*n + x - 10. Let l(r) = -r**2. Determine l(v(z)).
-4*z**2
Let x(j) = -19*j**2. Let l(q) be the third derivative of -q**4/12 + 13*q**2. Determine l(x(w)).
38*w**2
Let p(i) be the first derivative of -i**3 + 2. Let u(o) be the second derivative of 0 + 0*o**2 + 2*o - 1/3*o**3. What is p(u(q))?
-12*q**2
Let y(r) = 7*r. Let k(v) = -11*v**2 + 11*v - 11*v + 2*v**2. Give k(y(j)).
-441*j**2
Let d(s) = 13*s**2. Let q(l) = -6*l. Determine d(q(u)).
468*u**2
Let n(w) = w**2. Let x(t) = 9*t**2 + 1. Calculate x(n(c)).
9*c**4 + 1
Let c(t) = t. Let w(d) = d**2 - 849*d. Determine w(c(p)).
p**2 - 849*p
Let f(p) = 2*p**2 + 3*p. Let d(m) = -6*m**2 - 10*m. Let g(b) = 3*d(b) + 10*f(b). Let z(s) = -6*s. What is z(g(j))?
-12*j**2
Let t(z) = 3*z**2 + 2. Let v(q) = -57*q**2 - 39. Let c(m) = -117*t(m) - 6*v(m). Let o(l) = -2*l. Give c(o(r)).
-36*r**2
Let z(s) = -2*s**2. Let d(u) = -2*u**2 + 33. What is z(d(b))?
-8*b**4 + 264*b**2 - 2178
Let g(p) = -p. Let b(l) = 3*l + 12. Calculate g(b(y)).
-3*y - 12
Let u(l) = -7*l**2. Let z(i) = 6*i - 3. What is z(u(w))?
-42*w**2 - 3
Let u(v) = v**2. Let o(d) = -d**3 - d**2 + 6*d + 1. Let w be o(-5). Let b(l) = w + 9*l**2 - 71. What is u(b(n))?
81*n**4
Let h(t) = -2*t**2 - 3. Let x(u) = 5*u**2 + 5. Let b(d) = -5*h(d) - 3*x(d). Let j(f) = -4*f. Give j(b(g)).
20*g**2
Let n(k) be the third derivative of k**4/8 - 26*k**2 - 2. Suppose 4*d = -0*d + 8. Let z(l) = 1 - 1 + d*l. What is z(n(b))?
6*b
Let w(k) = -38*k**2 + 2. Let f(s) = -5*s**2. What is w(f(h))?
-950*h**4 + 2
Let m(p) = -2*p. Let b(x) = 112*x - 53. What is m(b(f))?
-224*f + 106
Let v(d) = -2*d**2. Let q = 1 - -1. Let s(y) be the first derivative of -q + 2/3*y**3 + 0*y**2 + 0*y. Determine s(v(h)).
8*h**4
Let b(i) = 8*i**2. Let y(a) = a**2. Let h(x) = b(x) + 10*y(x). Let d(z) = -3*z. Determine d(h(g)).
-54*g**2
Let f(v) = -v**2. Let t(c) be the third derivative of c**4/4 + 12*c**2. Give f(t(k)).
-36*k**2
Let k(u) be the third derivative of 0 + 1/30*u**5 + 0*u**3 + 0*u**4 - 4*u**2 + 0*u. Let l(x) = 4*x + x**2 - 4*x. Calculate l(k(w)).
4*w**4
Let r(h) = h**2. Let x(g) = -81*g**2. Calculate x(r(c)).
-81*c**4
Let c(u) = -4651*u. Let l(s) = -7*s. Determine l(c(r)).
32557*r
Let v(h) = 36*h**2 + 2. Let d(o) be the first derivative of -o**3/3 - 5. Determine v(d(s)).
36*s**4 + 2
Let o(n) = 9*n**2. Suppose 134 = 3*r + 5*m + 17, 5*m = 2*r - 53. Let s(t) = 34*t + 10*t**2 - r*t. Let u(z) = -4*o(z) + 3*s(z). Let l(i) = -i. Give l(u(b)).
6*b**2
Let x(p) = 43*p. Let f(q) = 7*q. Calculate f(x(z)).
301*z
Let k(w) = w**2. Let s(c) = c**2. Let g(i) = -5*k(i) + 4*s(i). Let a(v) = 5*v**2. Determine g(a(n)).
-25*n**4
Let z(d) be the first derivative of -3*d**2/2 - 3. Let x(j) = j. What is x(z(u))?
-3*u
Let w(h) = 66*h**2 + 27*h. Let u(p) = -5*p**2 - 2*p. Let r(o) = 54*u(o) + 4*w(o). Let z(k) = -k**2. Give z(r(g)).
-36*g**4
Let r(m) = 5*m**2. Let w = 19 - 11. Let s(q) = 14*q**2. Let n(k) = w*r(k) - 3*s(k). Let x(h) be the second derivative of h**4/6 + h. What is n(x(c))?
-8*c**4
Let d(z) = 45*z**2 + 41*z**2 + 52*z**2 - 122*z**2. Let w(k) = -3*k. Determine d(w(c)).
144*c**2
Let b(p) be the third derivative of 5*p**4/24 - 14*p**2. Let o(w) = -w**2. Calculate b(o(g)).
-5*g**2
Let r(o) = -29*o - 21*o + 53*o. Let g(x) = 6*x. Determine g(r(z)).
18*z
Let p(w) = -w**2. Let y(n) = 485*n + 4. What is p(y(v))?
-235225*v**2 - 3880*v - 16
Let s(z) = -12*z - 2. Let o(f) be the first derivative of f**2/2 - f - 6. Let r(x) = 2*o(x) - s(x). Let l(y) = 2*y. Determine r(l(u)).
28*u
Let n(t) be the first derivative of -t**2 + 7. Let v(j) = -7*j. Give n(v(k)).
14*k
Let b(h) = 2*h. Let k be 2 + -1 + -1 + 2. Suppose 4*s - 6 = 2. Let z(p) = 0*p**s - 3*p**2 + k*p**2. Calculate b(z(v)).
-2*v**2
Let k(i) = -2*i. Let o(z) = 24395*z. What is o(k(p))?
-48790*p
Let m(h) = 3*h. Let q(w) be the third derivative of w**6/180 - w**4/12 - 3*w**2. Let z(a) be the second derivative of q(a). Determine z(m(s)).
12*s
Let r(u) be the third derivative of u**4/12 - u**2. Let v(g) = -g - 5. Let h(p) = 1. Let b(l) = -5*h(l) - v(l). Determine r(b(s)).
2*s
Let k(s) = 14*s + 5. Let t(b) = 1. Let a(i) = k(i) - 5*t(i). Let h(j) = -2*j. Give a(h(n)).
-28*n
Let j(m) = -2*m**2. Let b(u) be the second derivative of -3*u**3 - 11*u. Determine b(j(v)).
36*v**2
Let u(j) = -9*j. Let c(r) = -17*r + 14*r**2 - 6*r**2 + 17*r. Calculate c(u(x)).
648*x**2
Let u(q) = -q. Suppose h + 32 = 3*h. Let a(z) = 16*z + 13*z**2 - h*z. What is a(u(n))?
13*n**2
Let y(o) = -2*o**2. Let i(z) = z + 1. Suppose -w = -5*w + 24. Let r(v) = 6 - 6 - 8*v - w. Let q(b) = -6*i(b) - r(b). What is q(y(m))?
-4*m**2
Let v = 2 - 2. Suppose v = -0*m + 2*m. Let l(z) = m*z**2 - 3*z**2 + 2*z**2. Let r(f) = -3*f**2. Determine r(l(q)).
-3*q**4
Let q(l) = 693*l**2. Let f(g) = 3*g. Determine f(q(y)).
2079*y**2
Let s(j) = 8*j**2. Let h(t) = -23*t. Calculate h(s(y)).
-184*y**2
Let p(r) = 2*r**2. Let o(j) = 6064*j**2. Calculate o(p(v)).
24256*v**4
Let j(u) = -2*u. Let q(y) = 88*y**2 - 7*y. Calculate j(q(o)).
-176*o**2 + 14*o
Let r(w) = 14*w**2. Let s(f) = -341*f**2. Give r(s(d)).
1627934*d**4
Let l be (-2 + 0)/(-2) - 1. Let a(d) = -4*d + 5*d + d + l*d. Let f(v) = -4*v. Determine a(f(q)).
-8*q
Let f(d) = -3*d. Let y(t) = -65*t**2 + 43*t**2 + 33*t**2. Give f(y(l)).
-33*l**2
Let o(n) be the first derivative of 0*n**2 - 2 + 0*n - 2/3*n**3. Let f(c) = 3*c**2. What is f(o(v))?
12*v**4
Let w(p) = -p**2 - 10*p - 12. Let i be w(-8). Let x(q) = 2*q + q - i*q - 5*q. Let m(d) = d. Give m(x(o)).
-6*o
Let u(h) = -13*h**2. Let s(b) = -b - 11. Let n(j) = -2. Let d(i) = -11*n(i) + 2*s(i). Calculate d(u(w)).
26*w**2
Let o(p) be the second derivative of p**5/30 - 3*p**2/2 + 2*p. Let c(j) be the first derivative of o(j). Let v(r) = -r**2 + 0*r**2 + 4*r**2. Give c(v(g)).
18*g**4
Let x(z) = 2*z**2. Let r(d) = 374*d + 5. Determine x(r(k)).
279752*k**2 + 7480*k + 50
Let d(r) = -2*r. Let x(a) = -8*a**2 - 2*a - 2. Let j(w) = -9*w**2 - 3*w - 3. Let s(o) = 4*j(o) - 6*x(o). Calculate d(s(g)).
-24*g**2
Let d(f) = 4*f**2 + 37. Let k(v) = 2*v. Calculate d(k(x)).
16*x**2 + 37
Let u(k) = -31*k**2 + 85. Let d(p) = p**2. Give d(u(v)).
961*v**4 - 5270*v**2 + 7225
Let z(m) = m + 2. Let k be z(0). Let d(x) = k*x + 1 - 1. Let j(w) = 3*w. Let o(b) = -b. Let s(g) = -6*j(g) - 15*o(g). Give s(d(v)).
-6*v
Let n(l) be the first derivative of 11*l**3/3 - 11. Let b(i) = -2*i. What is n(b(v))?
44*v**2
Let g(d) = -9*d**2. Let o(i) be the first derivative of -2*i**3/3 - 6. Give g(o(p)).
-36*p**4
Let q(t) be the third derivative of -t**5/12 - 2*t**2. Let o(c) = -c. Determine o(q(n)).
5*n**2
Let t(f) be the second derivative of 0*f**2 + 0 + 1/4*f**4 - 2*f + 0*f**3. Let a(k) = -3*k. Give t(a(p)).
27*p**2
Let f(l) = 4*l**2 - l**2 - 2*l**2. Let o(p) = -4*p**2 - 5*p + 5. Let n(c) = -c + c**2 + c + c + 2 - 3. Let k(r) = 10*n(r) + 2*o(r). Calculate f(k(u)).
4*u**4
Let u(z) = -z**2 - 8*z + 4. Let i be u(-8). Let k(f) be the second derivative of 0*f**3 + 0 + 1/12*f**i + 0*f**2 + 2*f. Let a(v) = 2*v**2. Determine a(k(q)).
2*q**4
Let m(f) = -2*f**2. Let g(n) be the second derivative of n**3/3 - 5*n. What is g(m(x))?
-4*x**2
Let u(g) = 42*g**2. Let q(i) = -28*i. Calculate u(q(y)).
32928*y**2
Let f(a) = 42*a. Let g(u) = -2*u. Give f(g(m)).
-84*m
Let x(m) = 7*m. Let l(r) = -22 - 14*r**2 + 11 + 11. Calculate x(l(q)).
-98*q**2
Suppose 0 = -4*j + 2*j - 2*q + 16, -2*j - 12 = -5*q. Let f(r) = 4*r**2 - j*r + 0*r**2 + 4*r. Let h(i) = -i**2. Calculate f(h(y)).
4*y**4
Let d(n) = 2*n**2. Let o(v) = -1 - 3*v + 1 + 5*v. What is d(o(f))?
8*f**2
Let v(t) = 5*t**2 + 7*t - 7. Let y(j) = 3*j**2 + 4*j - 4. Let c(d) = 4*v(d) - 7*y(d). Let o(x) = -5*x**2. Give o(c(k)).
-5*k**4
Let a(z) = 13*z**2 + 7*z - 7. Let g(y) = 4*y**2 + 2*y - 2. Let x(w) = -2*a(w)
|
{
"pile_set_name": "DM Mathematics"
}
|
nder when 13007 is divided by 250.
7
Calculate the remainder when 5942 is divided by 136.
94
Calculate the remainder when 1780 is divided by 418.
108
Calculate the remainder when 8067 is divided by 207.
201
What is the remainder when 18 is divided by 4?
2
What is the remainder when 7519238 is divided by 1279?
1276
Calculate the remainder when 2225101 is divided by 78.
73
Calculate the remainder when 676019 is divided by 214.
207
What is the remainder when 27414 is divided by 347?
1
What is the remainder when 230453 is divided by 23?
16
What is the remainder when 80477 is divided by 26821?
14
Calculate the remainder when 28999 is divided by 9665.
4
Calculate the remainder when 4295 is divided by 539.
522
Calculate the remainder when 304 is divided by 60.
4
Calculate the remainder when 9402 is divided by 39.
3
Calculate the remainder when 5072 is divided by 364.
340
Calculate the remainder when 2052 is divided by 991.
70
Calculate the remainder when 1655687 is divided by 12.
11
Calculate the remainder when 7423 is divided by 1235.
13
Calculate the remainder when 50379 is divided by 882.
105
What is the remainder when 121151 is divided by 48?
47
Calculate the remainder when 94229 is divided by 496.
485
What is the remainder when 96071 is divided by 129?
95
Calculate the remainder when 90762 is divided by 128.
10
What is the remainder when 303029 is divided by 455?
454
Calculate the remainder when 12892 is divided by 772.
540
Calculate the remainder when 2506 is divided by 898.
710
Calculate the remainder when 160 is divided by 148.
12
Calculate the remainder when 12811 is divided by 267.
262
Calculate the remainder when 100679 is divided by 197.
12
What is the remainder when 26002 is divided by 102?
94
Calculate the remainder when 102594 is divided by 69.
60
What is the remainder when 1065593 is divided by 59?
53
Calculate the remainder when 3986 is divided by 440.
26
What is the remainder when 270193 is divided by 19?
13
Calculate the remainder when 309348 is divided by 538.
536
What is the remainder when 8946 is divided by 112?
98
Calculate the remainder when 4711 is divided by 44.
3
What is the remainder when 29776 is divided by 268?
28
What is the remainder when 580102 is divided by 56?
54
What is the remainder when 7745 is divided by 17?
10
Calculate the remainder when 7268856 is divided by 27.
24
Calculate the remainder when 24918 is divided by 2264.
14
What is the remainder when 70430 is divided by 272?
254
Calculate the remainder when 576161 is divided by 916.
913
What is the remainder when 59949 is divided by 189?
36
What is the remainder when 2684 is divided by 54?
38
What is the remainder when 24383 is divided by 29?
23
Calculate the remainder when 788775 is divided by 197191.
11
What is the remainder when 96177 is divided by 458?
455
What is the remainder when 10242 is divided by 206?
148
Calculate the remainder when 14401 is divided by 44.
13
Calculate the remainder when 54866 is divided by 94.
64
Calculate the remainder when 2492 is divided by 277.
276
Calculate the remainder when 2309 is divided by 34.
31
What is the remainder when 219585 is divided by 43917?
0
What is the remainder when 231035 is divided by 160?
155
Calculate the remainder when 321217 is divided by 319.
303
Calculate the remainder when 231609 is divided by 12.
9
Calculate the remainder when 217853 is divided by 5066.
15
Calculate the remainder when 24787 is divided by 2754.
1
What is the remainder when 5387 is divided by 76?
67
What is the remainder when 144599 is divided by 23?
21
What is the remainder when 8819 is divided by 520?
499
Calculate the remainder when 913 is divided by 77.
66
Calculate the remainder when 209 is divided by 66.
11
What is the remainder when 338182 is divided by 239?
236
What is the remainder when 4574 is divided by 142?
30
Calculate the remainder when 3002 is divided by 671.
318
What is the remainder when 2504 is divided by 156?
8
What is the remainder when 2208 is divided by 673?
189
What is the remainder when 288 is divided by 176?
112
What is the remainder when 273476 is divided by 114?
104
Calculate the remainder when 35907 is divided by 45.
42
Calculate the remainder when 85688 is divided by 38.
36
What is the remainder when 592144 is divided by 65?
59
What is the remainder when 3072 is divided by 234?
30
Calculate the remainder when 48406 is divided by 8030.
226
Calculate the remainder when 352131 is divided by 9.
6
What is the remainder when 495 is divided by 228?
39
Calculate the remainder when 2088 is divided by 1020.
48
What is the remainder when 27293 is divided by 1796?
353
Calculate the remainder when 7389 is divided by 10.
9
Calculate the remainder when 59229 is divided by 7.
2
Calculate the remainder when 3960 is divided by 3957.
3
Calculate the remainder when 15705 is divided by 449.
439
Calculate the remainder when 1221 is divided by 257.
193
What is the remainder when 39667 is divided by 76?
71
Calculate the remainder when 29898 is divided by 2989.
8
What is the remainder when 174264 is divided by 87129?
6
What is the remainder when 2896 is divided by 1219?
458
Calculate the remainder when 14183 is divided by 1548.
251
What is the remainder when 28291 is divided by 9310?
361
What is the remainder when 4954 is divided by 2434?
86
Calculate the remainder when 96819 is divided by 11.
8
Calculate the remainder when 3837 is divided by 1002.
831
Calculate the remainder when 69002 is divided by 8624.
10
What is the remainder when 543163 is divided by 102?
13
What is the remainder when 8676 is divided by 962?
18
What is the remainder when 16911 is divided by 28?
27
Calculate the remainder when 1082 is divided by 274.
260
Calculate the remainder when 94598 is divided by 44.
42
Calculate the remainder when 80 is divided by 22.
14
Calculate the remainder when 3368021 is divided by 21.
20
Calculate the remainder when 13448 is divided by 532.
148
What is the remainder when 22275 is divided by 47?
44
Calculate the remainder when 16989 is divided by 774.
735
What is the remainder when 2288411 is divided by 1134?
1133
Calculate the remainder when 383 is divided by 61.
17
What is the remainder when 19710 is divided by 111?
63
Calculate the remainder when 21657 is divided by 238.
237
What is the remainder when 3715 is divided by 167?
41
What is the remainder when 843222 is divided by 531?
525
What is the remainder when 1295 is divided by 317?
27
What is the remainder when 480009 is divided by 60000?
9
Calculate the remainder when 7232 is divided by 7232.
0
What is the remainder when 5874 is divided by 21?
15
Calculate the remainder when 89101 is divided by 24.
13
What is the remainder when 311 is divided by 18?
5
Calculate the remainder when 113881 is divided by 29.
27
Calculate the remainder when 5741 is divided by 174.
173
Calculate the remainder when 6691 is divided by 1321.
86
Calculate the remainder when 167337 is divided by 545.
22
Calculate the remainder when 1668 is divided by 1649.
19
Calculate the remainder when 1259747 is divided by 126.
125
Calculate the remainder when 971 is divided by 58.
43
Calculate the remainder when 2823 is divided by 156.
15
Calculate the remainder when 68330 is divided by 2009.
24
What is the remainder when 595009 is divided by 44?
41
Calculate the remainder when 2713 is divided by 14.
11
What is the remainder when 81835 is divided by 223?
217
Calculate the remainder when 5725 is divided by 336.
13
What is the remainder when 299926 is divided by 74976?
22
What is the remainder when 385112 is divided by 93?
92
What is the remainder when 171109 is divided by 292?
289
What is the remainder when 5606 is divided by 5556?
50
Calculate the remainder when 4855 is divided by 4759.
96
Calculate the remainder when 373696 is divided by 865.
16
Calculate the remainder when 1300 is divided by 547.
206
Calculate the remainder when 2380 is divided by 1163.
54
What is the remainder when 62287 is divided by 2395?
17
Calculate the remainder when 2307 is divided by 198.
129
What is the remainder when 172928 is divided by 264?
8
Calculate the remainder when 59540 is divided by 14875.
40
What is the remainder when 2957905 is divided by 118?
117
Calculate the remainder when 54717 is divided by 608.
605
Calculate the r
|
{
"pile_set_name": "DM Mathematics"
}
|
What is the nearest to 1 in -42, -15.5, -0.3, 1?
1
What is the nearest to 0.2 in 2, -1, -96?
-1
Which is the nearest to 0? (a) -0.06641 (b) 0 (c) 0.5 (d) -3
b
What is the nearest to 3.6 in 0.3, -10, 22?
0.3
What is the closest to 1/2 in -19, -2/5, 0.04, -5?
0.04
Which is the closest to 2/3? (a) 2 (b) 1/9 (c) -1/15 (d) 102
b
Which is the nearest to 2/5? (a) -9.7 (b) -9 (c) 5 (d) 9 (e) 0.3
e
Which is the closest to -0.1? (a) 0.5 (b) 0 (c) -0.5 (d) 2/3 (e) -4943
b
What is the nearest to -0.1 in -2/5, 0.01, -9, -59, 1/8?
0.01
Which is the nearest to 1/3? (a) -12 (b) 1/3 (c) -1067
b
What is the closest to -0.1 in 0, 2/11, -9, 46, 116?
0
Which is the nearest to -4? (a) 8/17 (b) 5 (c) 34
a
What is the closest to 2 in 11, -50, 5?
5
Which is the closest to -0.4? (a) 5 (b) -2 (c) 3267
b
What is the closest to -4 in -3, 0.2, 3, 3/4, 0.25?
-3
Which is the closest to 1? (a) -0.2 (b) -958 (c) 0.5
c
What is the closest to 2 in -3, 0.1, 604?
0.1
Which is the closest to -1/4? (a) -2/17 (b) 6/23 (c) -2 (d) -0.29 (e) 5
d
Which is the nearest to -26? (a) 1/7 (b) 4 (c) 2/203
c
What is the nearest to 0.06 in -1, -4, -20/27, 1, -0.2?
-0.2
Which is the closest to -10? (a) 388 (b) -10 (c) -3
b
Which is the nearest to 2/15? (a) 5 (b) 111 (c) 0.4
c
What is the nearest to -2 in 247/2, 4/5, 4, -3.9, -4?
-3.9
Which is the nearest to -0.1? (a) -304 (b) 20 (c) 0
c
What is the closest to 1 in 311, 5, 0, -0.7?
0
Which is the nearest to 1.65? (a) 0.5 (b) 6/85 (c) -2
a
Which is the closest to -2? (a) 7/16 (b) -3/4 (c) -0.05 (d) 1/3
b
What is the closest to -0.01 in -0.04, -3/8, -5, 120?
-0.04
What is the closest to -334.92 in 0.3, -0.4, 3, -1?
-1
What is the closest to -1 in 4, -2/5, -37, -175/6, 2?
-2/5
What is the nearest to 10 in -2/5, -0.3, -1.2, -0.37?
-0.3
What is the closest to -1/4 in 4, -1, 0.011, 26.5, 1/5?
0.011
Which is the nearest to 1461? (a) -5 (b) -1/6 (c) -2/27
c
Which is the nearest to 47? (a) -4/9 (b) -46 (c) -0.1 (d) -1/16
d
Which is the nearest to 13/10? (a) 4 (b) -4/7 (c) -8
b
What is the nearest to 0.2 in 0, 30, -1/12, -1/3?
0
What is the closest to -0.3 in 4, 221/5, -0.2, 1/4, 62?
-0.2
Which is the closest to -9? (a) -19 (b) -1/5 (c) -1/10
b
What is the nearest to 1 in -2/415, 2, -408?
2
What is the closest to 3/16 in -2/3, -1, 2/9?
2/9
Which is the nearest to 0? (a) -1/4 (b) -2/3 (c) -8/25 (d) 20 (e) -4/3
a
What is the nearest to 0.1 in 1056, -2, -3?
-2
Which is the nearest to 2? (a) 0.05 (b) 14 (c) 0.4 (d) -0.4 (e) 0
c
What is the closest to 3 in 2/5, -129, 2, -5/4, -19?
2
What is the closest to 6 in -1, 1/5, -0.065, 4?
4
Which is the nearest to -0.2? (a) 4/15 (b) 2/7 (c) 3
a
Which is the nearest to 179? (a) 1 (b) -3 (c) -168
a
What is the nearest to -0.2 in 2, -0.15196, 3, 1?
-0.15196
What is the nearest to 4 in -1/4, -10, 2/5, 3, 4?
4
What is the closest to -1 in 2/7, 43, 4, 0.4, -4?
2/7
Which is the nearest to 4? (a) 0.2 (b) 32 (c) 0 (d) 1 (e) 0.01
d
Which is the closest to 1518? (a) 4 (b) 0 (c) -1/8
a
What is the nearest to -0.1 in 1/3, -18, -6.2?
1/3
Which is the closest to -2/9? (a) -2/13 (b) 53 (c) -0.08 (d) -2/11
d
What is the nearest to 0.1 in 3, 0.4, 2/1013, -0.02, 1/5?
2/1013
Which is the closest to 0.8? (a) 2/5 (b) -2 (c) 5 (d) 11
a
What is the nearest to -1 in -78, 1/6, -11?
1/6
What is the nearest to -19 in 1.1, -0.0682, 0.4?
-0.0682
Which is the closest to 0.2? (a) -2/3 (b) -10/77 (c) 2.2
b
What is the nearest to 2/7 in 0.1, -5, -6/4777, -0.4?
0.1
Which is the closest to -3? (a) 3 (b) 1/3 (c) -1/2 (d) -0.003
c
Which is the nearest to 1/3? (a) -3 (b) -588 (c) 1/6 (d) -1 (e) 5
c
What is the closest to 8 in -3, 0, -2, -46?
0
Which is the closest to 0? (a) 4 (b) 3/2 (c) -3 (d) -3/62
d
Which is the nearest to 2994? (a) -0.1 (b) 1/4 (c) 2/35 (d) -5
b
Which is the nearest to 2/5? (a) 13119 (b) -2/9 (c) 4
b
Which is the nearest to 2.1? (a) 247 (b) -0.5 (c) 2
c
What is the nearest to 0 in -0.34, 0.1, 1/12, 2?
1/12
Which is the nearest to 3? (a) 101 (b) -3 (c) -5 (d) -0.3 (e) -2
d
Which is the closest to -0.08? (a) -0.14 (b) 8/7 (c) 1/12
a
What is the nearest to -41 in -2.3, 0.1, -0.1, -1/31?
-2.3
What is the closest to 24 in 2/13, 2/19, -3, -0.2, 0?
2/13
What is the nearest to -1/2 in -1/25, -2/15, -0.12?
-2/15
Which is the closest to 2/15? (a) 130 (b) -4 (c) -5 (d) -5/4
d
Which is the closest to 2? (a) -4 (b) -0.5 (c) -0.67 (d) -1.9 (e) -5
b
What is the nearest to 9/10 in 6.8, 3/8, -0.2?
3/8
What is the closest to 0 in 128/379, -4, 15?
128/379
What is the nearest to 7/103 in 2/9, -4, -2, -3?
2/9
Which is the nearest to 0? (a) 0.8 (b) -4 (c) -3076
a
What is the closest to 1 in -0.5, -5, 4, -1/44?
-1/44
Which is the closest to 2/65? (a) -1.1 (b) 4 (c) -7 (d) -56
a
Which is the closest to -11? (a) 4/13 (b) -5 (c) 4 (d) 1/3
b
What is the nearest to 6 in 1/2, -0.5, -49/3?
1/2
Which is the nearest to 0.04? (a) 2/9 (b) -2.5 (c) -0.5 (d) -0.3 (e) -0.05
e
Which is the closest to -2/5? (a) 0.1 (b) -19 (c) -7 (d) -3
a
What is the nearest to 2 in 2.02, 1, 2?
2
What is the closest to -2/11 in 2/7, 2/11, 1, 2148/7?
2/11
Which is the closest to 1? (a) 2/9 (b) -71 (c) -1 (d) -0.5 (e) -5
a
What is the nearest to -0.1 in -1/3, 2/7, 0, 44, 4/5?
0
Which is the nearest to -4? (a) 5 (b) 127/3 (c) 0.3 (d) 0 (e) -1
e
What is the closest to -4 in -5, 5/1913, 1?
-5
Which is the nearest to 2/7? (a) 0 (b) -0.7 (c) 4509
a
What is the nearest to 0 in 0.3, -2/27, 389?
-2/27
What is the nearest to 1 in 1/4, -2/13, 1.01?
1.01
Which is the closest to 31/145? (a) 9 (b) -0.01 (c) -4
b
What is the nearest to -49.2 in -0.3, 6, -2?
-2
Which is the closest to 5? (a) 1/4 (b) -4 (c) -3221 (d) -5 (e) -2/3
a
What is the closest to 1/7 in 3, -1276/5, -0.04?
-0.04
Which is the closest to -2? (a) 0.1 (b) 201 (c) -2/15 (d) -4
c
Which is the nearest to -3? (a) 4 (b) 0.4 (c) -72/5 (d) -4
d
Which is the closest to 4? (a) -5 (b) -2 (c) 0.2263 (d) -3/2
c
What is the closest to -12 in 0, -1/2, 2/7?
-1/2
Which is the nearest to -196? (a) -4/3 (b) 0.08 (c) 0.06
a
Which is the closest to 1/5? (a) -1/15 (b) 154 (c) -1
a
Which is the nearest to -1? (a) 5 (b) -1/3 (c) -17/3 (d) -1/13 (e) -0.1
b
Which is the nearest to -2312? (a) 3/2 (b) 2 (c) 1 (d) 0.4 (e) -1
e
What is the nearest to 0 in 203, 1, 2, 75?
1
What is the nearest to -363 in 1, 1/6, -7?
-7
Which is the closest to 6? (a) -1/7 (b) 0.4 (c) -0.1 (d) -3 (e) -0.068
b
Which is the nearest to 3? (a) -5 (b) -1 (c) 0.8 (d) 137
c
What is the nearest to -1/2 in 2/3, 36.71, -2?
2/3
What is the closest to 0 in 2, -63, -2/113, 1?
-2/113
Which is the nearest to -1? (a) 3 (b) -0.4 (c) 0.0235 (d) -24
b
What is the closest to 0.1 in 0.08, 9, -9.978?
0.08
Which is the nearest to 0? (a) 0.0593 (b) 5 (c) -4 (d) 2/3 (e) 2/7
a
What is the nearest to 0.4 in 1, 24, -2?
1
Which is the nearest to 0.1? (a) 0.0118 (b) 1/3 (c) 0.04 (d) -0.1 (e) -5
c
What is the nearest to 3/13 in -0.3, -43, 5?
-0.3
What is the nearest to -2 in 69, 3/4, 0, -2/11, -3?
-3
Which is the nearest to -0.1? (a) 0.5 (b) -1.434 (c) -0.304
c
What is the closest to 3856 in -1, 0.5, -0.3?
0.5
What is the nearest to 2/5 in -425, 26, -3, 0.4?
0.4
What is the nearest to -0.123 in 13, -52, -3?
-3
Which is the nearest to 5? (a) 0 (b) 1 (c) -1/62
b
Which is the closest to -9/2? (a) 3 (b) -4 (c) -1 (d) 4 (e) 30
b
Which is the nearest to 0.1? (a) 10 (b) 3.3 (c) 4 (d) 5
b
Which is the closest to 11? (a) -5 (b) 0.2 (c) -1/13
b
Which is the closest to 13? (a) -3/5 (b) -8 (c) 8/15
c
Which is the closest to -0.07? (a) -0.32 (b) 2 (c) 34 (d) -2/17
d
Which is the nearest to -0.1? (a) 38 (b) 1 (c) 2/5 (d) 6 (e) -0.8
c
What is the closest to -59 in -0.048, 5/2, 1/5?
-0.048
What is the closest to 4 in -20, -1/13, 0.2, 228, -1/2?
0.2
What is the nearest to 2/7 in 0.1, -1, -5, 4/7, 9/8?
0.1
Which is the nearest to 0.22? (a) 1/3 (b) 2/3 (c) 2/7 (d) -1/4 (e) 1872
c
What is the closest to -0.1 in 1, -4, 6, 104/7, 0.8?
0.8
Which is the nearest to 0.6? (a) -2 (b) -1/4 (c) 32
b
Which is the nearest to 2? (a) -1/3 (b) 1/48 (c) -1 (d) -3
b
What is the near
|
{
"pile_set_name": "DM Mathematics"
}
|
fferentiate m(d) with respect to d.
-3723*d**2
What is the third derivative of 30 - 310*b**4 - 28*b**2 - 5 + 252*b**4 + 21*b**2 - 1330*b**4 wrt b?
-33312*b
Suppose -4*s - t + 12 = 0, -7*s + 10*s - 9 = -3*t. What is the second derivative of -27*p**5 - 4 - 1 - 5 - 3*p**2 - 82*p + 79*p - s*p**5 wrt p?
-600*p**3 - 6
Let t = -92 + 151. Find the second derivative of 2 + t*u**2 - 17*u + 5 - 6 - 18*u wrt u.
118
Let c = 365 - 281. Differentiate -28 - 154*b - c + 20 - b with respect to b.
-155
Suppose -5 = 2*m - 4*y + 9, 3*y - 27 = -4*m. What is the third derivative of 40*v**6 + 1149*v + 130*v**2 - 1149*v - 2*v**5 + m*v**5 wrt v?
4800*v**3 + 60*v**2
Let i(r) = -57*r - 3. Let s be i(-4). Let v = s - 155. What is the third derivative of v*k**3 - k**2 - 70*k**3 - 2*k**2 + 21*k**4 wrt k?
504*k
Suppose 3 = 3*m - 9. Suppose 56*k + 9 - 13 = 52*k. Find the first derivative of m*w - 43*w + 6 - k + 9 wrt w.
-39
Let u(s) = -s**2 + 11*s - 7. Let d be u(10). Suppose -2*q + 42 = d*n, 4*n + 4*q - 45 = 5*q. Differentiate n*l**4 - 10*l**4 - 5*l**4 + 15 with respect to l.
-12*l**3
Let t be (126/105)/(2/85). Find the first derivative of t*u + 11*u + 3*u - 51 wrt u.
65
Let z(x) be the third derivative of 599*x**4/12 + 399*x**3/2 + 395*x**2. What is the derivative of z(m) wrt m?
1198
What is the second derivative of 1155*k**5 - 2504*k + 141*k**5 - 3537*k + 1799*k - 2 wrt k?
25920*k**3
Let u(m) = m**3 - 11*m**2 + 7*m + 36. Let n be u(10). Find the second derivative of 3*i**2 - n + 3 + 10*i**5 - 5 + 104*i - 109*i wrt i.
200*i**3 + 6
Let u(k) be the second derivative of -47*k**3/3 - 107*k**2/2 - 20*k. Let z(t) = 2*t - 1. Let w(b) = -u(b) - 2*z(b). What is the derivative of w(j) wrt j?
90
Let c(i) = 81*i**2 - 8*i. Suppose 40 = -13*h - 25. Let g(o) = -o. Let z(d) = h*g(d) - c(d). What is the second derivative of z(w) wrt w?
-162
Let k(s) be the third derivative of -3/40*s**6 + 0*s - 1/24*s**4 + 1/60*s**5 + s**2 + 35 - 19/3*s**3. What is the second derivative of k(o) wrt o?
-54*o + 2
Let d(n) = -n**2 + 6*n + 15. Let u be d(7). Let l be 2/2*4*4/u. What is the second derivative of -1 - l*c**4 + 17*c**4 + 1 + 14*c wrt c?
180*c**2
Let o = -8818 + 8822. Let a(r) be the first derivative of 31/4*r**4 + 0*r**3 - 8 + o*r**2 + 0*r. Find the second derivative of a(l) wrt l.
186*l
Find the second derivative of 1544*f**2 + 529*f**2 + 1790*f + 1675*f**2 wrt f.
7496
Let x(q) be the second derivative of 2131*q**5/10 - q**4/12 + 1061*q**3/3 - 9330*q. What is the third derivative of x(o) wrt o?
25572
Let j(i) = 24*i + 4. Let q(l) = 5*l + 1. Let c be 15/45 - (-22)/6. Suppose c*n + 2 + 6 = 0. Let u(v) = n*j(v) + 11*q(v). Differentiate u(b) with respect to b.
7
Let p(t) be the second derivative of -429*t**5/20 - 6461*t**2/2 + 1121*t - 1. Differentiate p(c) wrt c.
-1287*c**2
Let j(h) be the third derivative of -1/6*h**4 + 36*h**2 + 0 - h**3 + 0*h - 67/60*h**5. Find the second derivative of j(i) wrt i.
-134
Let h(u) = 3*u - 5. Let a(b) = -641*b + 752. Let y(x) = -a(x) - 9*h(x). What is the derivative of y(q) wrt q?
614
Let v(f) be the first derivative of -1683*f**5/5 - 4847*f + 9474. Differentiate v(i) wrt i.
-6732*i**3
Find the second derivative of -34 - 529*j**2 - 609*j**2 + 0*j + 56*j**2 + j wrt j.
-2164
Let b(d) = d**2. Suppose 4 = 2*f - 0. Let h be 1*f*17/34. Let a(i) = 7*i**2 + 2*i. Let m(z) = h*a(z) - 6*b(z). Find the second derivative of m(q) wrt q.
2
Let k = 8 - -16. Let h(y) be the first derivative of -44*y**2 + 54*y**2 + y**4 - k + 5*y**4. What is the second derivative of h(t) wrt t?
144*t
Let t(n) be the third derivative of 2*n**6/15 - 131*n**5/60 - 1213*n**3/3 - 16*n**2 + 3*n + 2. Differentiate t(d) with respect to d.
48*d**2 - 262*d
Let v(i) = i**3 - 13*i**2 - 2*i + 32. Let y be v(13). Suppose -y*q + 98 = -388. What is the first derivative of 28 - 125*d**4 - q + 98*d**4 wrt d?
-108*d**3
Let x(i) = i**2 + 4*i + 7. Let v be x(-2). What is the third derivative of -p**6 - 2*p**6 + 3*p**v - 2*p**6 + 16*p**2 - 4*p - p**3 wrt p?
-600*p**3 + 12
What is the derivative of 457 + 449*u**2 + 1169*u**2 + 2414*u**2 - 987*u**2 wrt u?
6090*u
Suppose 0 = -d + 2*d + 5*q + 53, q = 5*d + 135. Let s = -23 - d. Find the third derivative of 6*o**2 - 17*o**5 + s*o**2 + 14*o**2 wrt o.
-1020*o**2
Let t = 53 - 50. Suppose -2*l = 5*x - 11, 2*l + 11*x = 14*x + t. What is the third derivative of -14*y**2 + 33*y**3 - 19*y**3 + 28*y**l wrt y?
252
Let y(i) be the second derivative of 23*i - 37/15*i**6 - 7*i**2 + 0*i**5 + 0*i**4 + 0 + 1/6*i**3. What is the second derivative of y(s) wrt s?
-888*s**2
Let n(t) be the first derivative of 0*t - t**2 + 0*t**6 - 26 - 40/7*t**7 + 0*t**5 + 12*t**3 + 0*t**4. What is the third derivative of n(i) wrt i?
-4800*i**3
Let s(p) be the second derivative of -1/42*p**7 + 1/4*p**4 + 0 + 168*p + 23/10*p**5 + p**2 + 0*p**3 + 0*p**6. What is the third derivative of s(f) wrt f?
-60*f**2 + 276
Find the first derivative of -1361*v + 2835*v + 7393 - 92*v + 4609*v + 1283*v wrt v.
7274
What is the derivative of 949*f + 113*f**2 + 192 + 109*f**2 - 684 - 224*f**2 wrt f?
-4*f + 949
What is the second derivative of 13*x**2 - 3*x**2 - 79*x**4 - 16*x**2 - 9300*x - 58*x**4 wrt x?
-1644*x**2 - 12
What is the second derivative of -5922*t**5 - 11059*t - 1069*t - 1084*t wrt t?
-118440*t**3
Let k(i) be the first derivative of 61*i**7/7 - 955*i**3/3 - 126. Find the third derivative of k(s) wrt s.
7320*s**3
Let g(k) be the first derivative of -327*k**5/5 + 130*k**3/3 + 2*k - 372. Find the third derivative of g(w) wrt w.
-7848*w
Let k(i) be the first derivative of 17/2*i**6 + 0*i**5 + 0*i**3 + 0*i**4 - 3 - 5/2*i**2 + 0*i. What is the second derivative of k(u) wrt u?
1020*u**3
Let w be 18/(-81)*(-13 - -4). What is the second derivative of -4 + 7*q - 4*q**3 - 10*q - q + 12*q**w + 0*q**3 - 2*q**3 wrt q?
-36*q + 24
Let k(x) be the second derivative of -141*x**6/10 + 9779*x**2/2 - 8116*x. Differentiate k(s) with respect to s.
-1692*s**3
Let n(w) = w**2 + 1. Let p(d) = -2112*d**3 + 7*d**2 - 1728*d + 8. Let q(s) = -7*n(s) + p(s). What is the second derivative of q(f) wrt f?
-12672*f
Let a(w) = -w + 3. Let t(v) = -3499*v - 1715. Let l(p) = 30*a(p) + 2*t(p). Differentiate l(c) with respect to c.
-7028
Let v(d) be the first derivative of -1079*d**5/5 + 3*d**4/4 + 16*d**3/3 - 5*d**2/2 - 9*d + 7919. What is the third derivative of v(y) wrt y?
-25896*y + 18
Let o(y) = y**3 + 25*y**2 + 23*y - 8. Let u be o(-24). Find the third derivative of 22*f**2 + 36*f**6 - 20*f**2 + u*f + 19*f**6 wrt f.
6600*f**3
Let w(p) = -95*p**2 - 24*p. Let f = 62 + -69. Let s(x) = -95*x**2 - 24*x. Let k(v) = f*w(v) + 6*s(v). Find the second derivative of k(o) wrt o.
190
Let m = -11704 + 11706. Let u(n) be the first derivative of -35 + 38/3*n**3 + 0*n**m + 19*n. What is the derivative of u(s) wrt s?
76*s
Find the first derivative of 837 - 341*l - 752*l - 140*l - 863*l wrt l.
-2096
Let k be (1 - (-5 + -57)) + -2. Find the third derivative of -4*z**2 + 77*z**2 - k*z**5 + z**2 wrt z.
-3660*z**2
Let b(m) be the third derivative of -3/2*m**3 + 0*m**4 - m**2 - 1/60*m**5 - 44 + 0*m - 1/3*m**6. What is the third derivative of b(a) wrt a?
-240
Let t(k) = -5740*k - 18*k**4 + 5746*k - 122*k**4 + 37 + 148 + 6*k**3. Let u(f) = f**3 + f. Let a(b) = -t(b) + 6*u(b). Find the first derivative of a(r) wrt r.
560*r**3
Let f(u) be the second derivative of 43*u**6/30 + 31*u**5/20 - 1397*u**4/6 + 3260*u. Find the third derivative of f(q) wrt q.
1032*q + 186
Let y(d) be the first derivative of -673*d**2/2 - 1928*d - 1098. Differentiate y(m) with respect to m.
-673
Let k(h) = 762*h**2 + 3*h - 40. Let f(g) = -2289*g**2 - 8*g + 122. Let j(a) = 6*f(a) + 17*k(a). What is the second derivative of j(i) wrt i?
-1560
Let l(u) be the first derivative of -8*u**5/5 - 11*u**3/3 + 2223*u**2/2 - 555. Find the second derivative of l(g) wrt g.
-96*g**2 - 22
What is the first derivative of 14*m**2 + 40*m**2 - 469 + 375*m**3 - 54*m**2 wrt m?
1125*m**2
Let m(n) be the third derivative of 0*n**3 + 29/8*n**4 + 0*n + 0 + 91/60*n**5 - 67*n**2. What is the second derivative of m(r) wrt r?
182
Let k(h) = 95*h**3 + 3*h - 50. Let m(l) = 89 - 5*l - 192*l**3 + 345*l**2 - 345*l**2 + 12. Let b(i) = -5*k(i) - 3*m(i). Differentiate b(t) wrt t.
303*t**2
Let z = 255 - 252. Find the second derivative of 40*s -
|
{
"pile_set_name": "DM Mathematics"
}
|
at is the hundreds digit of b(-10)?
1
Suppose -2*r - 14 = -f - 7*r, 50 = 2*f - r. What is the units digit of f?
4
Let z(r) = -18*r**3 + 6*r**2 + 7*r + 6. Let v(i) = -i**2 - i - 1. Let a(u) = 5*v(u) + z(u). Let f be a(-1). What is the tens digit of (-10)/45 - (-328)/f?
1
Let v = -56 + 61. Let x(p) = 6*p**3 + 5*p - 4. Let o(r) = 5*r**3 - r**2 + 4*r - 4. Let l(u) = -5*o(u) + 4*x(u). What is the units digit of l(v)?
4
Let f(j) = 2*j + 8. Let q(z) = 5*z + 23. Let a(u) = 11*f(u) - 4*q(u). What is the units digit of a(8)?
2
Let d(u) = -u**3 + 12*u**2 + 12*u + 1. Let y be d(13). Let t(k) = k + 14. What is the units digit of t(y)?
2
Suppose 5*j = -g + 8, 4*j - 7*j = 4*g - 15. Suppose 0 = -2*z + 5 + g. What is the units digit of z?
4
Suppose -3*y + 4*w = -0*w - 36, 67 = 4*y + w. What is the units digit of y?
6
Suppose -1108 = -6*m - 310. What is the hundreds digit of m?
1
Suppose 30 = -4*n + 2*n. Let j = 29 + n. What is the units digit of j?
4
Let c(h) be the third derivative of -h**5/60 - 3*h**4/8 + 5*h**3/6 - 3*h**2. What is the units digit of c(-9)?
5
Let a be (-3)/(-2)*(-32)/12. What is the tens digit of ((-26)/4)/(a/8)?
1
Suppose 5*b - 11 = v, v - 2*b - 3 = -5. Suppose -v*r = 22 - 162. What is the tens digit of r?
3
Let h be 0/(-1) + 60/2. Suppose 4*x - h = -x. What is the units digit of x/10 - 68/(-20)?
4
Let u(q) = -81*q + 1. What is the units digit of u(-1)?
2
Let a be (-346)/(-18) - 4/18. Suppose -2*g - 2*g - 3*u + 43 = 0, -2*g + u = -a. What is the tens digit of g?
1
Let u be ((-18)/(-15))/(9/240). Let z = u - 17. What is the tens digit of z?
1
Suppose -s - 4 = -7. What is the units digit of s?
3
Let w(t) = t**2 + 5*t - 5. Suppose -b + 17 = 2*b + 5*g, -3*b - 4*g + 16 = 0. Suppose -4*m - 5*r = -2*r + 31, 11 = -m - b*r. What is the units digit of w(m)?
9
Let w(n) = -2*n + 127. What is the units digit of w(0)?
7
Suppose 5*g - 23 = -2*h, -5*g - 6*h = -2*h - 31. Suppose -a - 5*q + 14 = 0, 42 = -g*a + 6*a + 5*q. Suppose -a = -4*p + 26. What is the tens digit of p?
1
What is the tens digit of (-3)/(5 + -2 - 63/20)?
2
Suppose f + 7 = 2. Let l = -1 - f. What is the units digit of l?
4
Let t = 20 + -25. Let n(q) = -10*q - 12. What is the tens digit of n(t)?
3
Let t = -10 + 14. Suppose -2*l - 8 = 4*d, 2 = -4*l - t*d - 2. What is the units digit of l?
2
Suppose -23 = -4*u - 7. Suppose u*s + 0 = 8. Suppose -10 = -s*b + 2. What is the units digit of b?
6
Let o be (-3 - -2)/((-1)/2). Suppose 0*m = 5*m - 25, -o = 4*k - 2*m. Let h = 9 - k. What is the units digit of h?
7
Suppose -2*b - 12 = -3*d, -2*b = -d - b + 3. What is the units digit of d?
6
Let a be (-4)/(-5)*55/(-11). Let k(x) = 3*x**2 - x + 1. Let p be k(1). Let r = p - a. What is the units digit of r?
7
Let r = 4 - 2. What is the units digit of r?
2
Suppose -3*b + 298 + 77 = 0. What is the units digit of b?
5
Suppose 27 + 23 = 5*g - 3*m, -2*g + 21 = -m. What is the tens digit of g?
1
Suppose -g = 2*q - 71, -3*g = -q + 23 - 5. What is the tens digit of q?
3
Let z(o) = o**3 - 2*o**2 - 2. Let v(a) = -a**3 + a**2. Let b be v(-1). Let u be z(b). What is the units digit of (-7 - -3)*u/1?
8
Suppose 20 = 5*z, 3*y + z + 5 = 12. Let p be y - 3 - 3 - 3. Let c = 18 + p. What is the tens digit of c?
1
Let i = -2 + 2. Suppose i = -2*t + 5*t - 48. What is the tens digit of t?
1
Let o(u) = -u**3 + 4*u**2 - 3*u + 2. Let s be o(3). Suppose 23 = -s*h - 11. Let a = -12 - h. What is the units digit of a?
5
Let z = -16 + 13. Let b(l) = -3 + 1 - 2 + l**2 - l. What is the units digit of b(z)?
8
What is the tens digit of (555/12)/(3/(-2 + 14))?
8
Suppose -3*a + 0*a + 39 = 3*c, -8 = 2*a. What is the units digit of c?
7
Let j = 76 + -32. What is the tens digit of j?
4
Suppose 0 = 5*y + 58 - 288. What is the units digit of y?
6
Let p be 2 + 1 + -2 + -3. Let f be 7/p + (-1)/(-2). What is the units digit of (-1 - -6) + f/1?
2
Suppose t = -3*t + 20. Suppose -5*c = 3*j - 5*j - t, -3*j + 18 = c. Suppose c*k + 9 = -3*g, 3*k = g + 4 + 7. What is the units digit of k?
2
Let u(c) = 23*c**2 + 6*c - 7. What is the units digit of u(2)?
7
Let x(c) = -c**3 - 10*c**2 + 13*c + 14. Let u be x(-11). Let d = u - -18. What is the units digit of d?
0
Suppose 3*s = -4*w + 8, 2*w + 5*s = 3*w - 2. Suppose -2*h - j + 3*j + 54 = 0, w*h - 46 = -2*j. What is the units digit of h?
5
Suppose 0 = -0*b + 5*b. Suppose 3*y = a + 3*a - 12, b = 2*a - 3*y. What is the tens digit of 64/a - (-16)/(-24)?
1
Suppose 65 = 5*x - 275. What is the units digit of x?
8
Suppose -15 = -3*o + 3*d, 7*o = 4*o - 2*d - 10. Let v = 10 - o. What is the units digit of 10 - (-5)/(v/4)?
2
Suppose 3*j + 0*j = 9. Suppose j*c - 48 = 30. What is the tens digit of c?
2
Let s(p) be the first derivative of 2*p**2 - 11*p + 5. What is the tens digit of s(8)?
2
Let t be (18/4)/((-1)/2). Let u(b) = 3 - 2*b - 3 - 1 - 3. What is the tens digit of u(t)?
1
Let r be (-13)/(-5) - 6/(-15). Suppose 6*q - 29 = q - 2*a, -5*q = r*a - 31. What is the units digit of q?
5
Let v = -1 - -3. Let o be (v + 0/2)*2. Suppose 0 = o*r - 0*r - 4. What is the units digit of r?
1
Let t(y) = -y**3 - y**2 + y + 1. Let b(k) = -2*k + k**2 - k**3 + k**3 - 1 + 0*k**2 - 12*k**3. Let o(x) = b(x) + 2*t(x). What is the units digit of o(-1)?
4
Let m be -1 - (18 - (3 + -1)). Let a be (-34)/3*-3 + -2. Let t = m + a. What is the units digit of t?
5
Suppose 3 - 2 = -v. Let k = -1 - v. Suppose k = 2*z + 5 - 31. What is the tens digit of z?
1
Suppose 5*j + 4 = u, 2*j + 5*u = 7*j. Let g be 3 - 8 - j/(-1). What is the units digit of g/((3 + -1)/(-2))?
6
Let z be (3/(-2))/(2/(-8)). Let y be z/3*1 + 1. What is the units digit of (2 - -1 - y) + 3?
3
Let c be 22 - -6*(-4)/8. Let l = 35 - c. What is the units digit of l?
6
Let a(y) = y**3 + 3*y**2 + 2. Let p be a(-3). Let v be 1/p*(14 + -2). Suppose -10 - v = -4*k. What is the units digit of k?
4
Suppose 0 = 3*a - 2*i - 131, 5*i = -3*a + 5*a - 69. What is the units digit of a?
7
Let g be ((-2)/2 - 2)*-1. Suppose -3*o + 2*c + 19 = 0, -2 = -2*o - g*c + 2. What is the units digit of o?
5
Suppose -5*m + 2*q = -14, -5*m - q + 8 = -0*q. Suppose -54 = -2*r - u, -m*r + 3*r - 41 = 3*u. What is the tens digit of r?
2
Let s(m) = m**2 + 3*m - 2. Let k be 2/((-3)/6 - -1). What is the units digit of s(k)?
6
Suppose 4*a + 3*p + 137 = 0, 3*a = 8*a + 5*p + 175. Let h = -8 - a. What is the tens digit of h?
2
Let n(q) = q**2 + q + 3. Let f be n(3). Let l = 2 - -3. Suppose -4*j = -l*x + 29, -4 = 3*x - 4*j - f. What is the units digit of x?
9
Let r be 4 - (3 - 48*2). Suppose r = 4*f + 29. What is the units digit of f?
7
What is the units digit of (-12)/24*-1*82?
1
Let o be (16/(-10))/((-2)/10). Suppose 3*u + o = t - 6, 0 = t + 3*u + 10. Suppose -4*y + 3*w + 12 = -6, y + t*w - 10 = 0. What is the units digit of y?
6
Suppose 3*l - y - 76 = 2*l, 3*l + y - 212 = 0. What is the units digit of l?
2
Suppose -2*l + 5*l - 108 = 0. What is the tens digit of l?
3
Suppose -h + 4*h = 9, 0 = 5*d + 2*h - 26. Let y(z) = -3*z + 6. Let g be y(d). What is the units digit of (g/(-9))/((-2)/(-39))?
3
Suppose 3*k - k - 4 = 0. Let b(a) = 10*a**2 - 5*a + 4. What is the tens digit of b(k)?
3
Let c = 124 + -8. What is the units digit of c?
6
Let c(y) = y**3 - 4*y**2. Let u be c(4). Let b = 8 + -5. Let s = u + b. What is the units digit of s?
3
Suppose 0 = -0*p + p - 7. What is the units digit of p?
7
Suppose 5*k = -43 + 128. What is the tens digit of k?
1
Suppose 30 = 5*s + 4*q, 3*s - 7*q + 2*q + 19 = 0. Suppose 0 = -5*w - s*z - 19, 0*w + z - 18 = 3*w. Let b(k) = -k. What is the units digit of b(w)?
5
Let j(f) = 6*f - 4. What is the units digit of j(15)?
6
Let k(x) = 3*x - 2. Let i be k(2). Suppose 30 + 34 = i*h. What is the units digit of h?
6
Let r(t) = -3*t. Let w be r(-1). Suppose m - 20 = v, 11 + 29 = 2*m + w*v. What is the units digit of m?
0
Suppose -2*o = o - 390. Suppose -68 = -2*v - 4*h, -o = -4*v - h - h. What is the tens digit of v?
3
Suppose 0 = 3*x + 4*b + 10, -5*b - 4 - 8 = 4*x. What is the units digit of (-1 - -3)*6 - x?
0
Let i(a) = -3*a**3 - 3*a**2 + a - 4. What is the units digit of i(-3)?
7
Let c = -71 + 103. Suppose 2*t + c + 20 = 2*g, 3*t = -g + 6. What is the tens digit of g?
2
Suppose -2*r + 4*l + 210 = 0, 4*l = r - 0*l - 99. What is the tens digit of r?
1
Let i(x) = -8*x**3 - x**2 - x. Let d be i(-1). Let a be (-2
|
{
"pile_set_name": "DM Mathematics"
}
|
a9?
10061
In base 5, what is 20020223 - -1040?
20021313
In base 10, what is -1 - -136687264?
136687263
In base 15, what is -175a - 4844?
-609e
In base 8, what is -2 - -16426217?
16426215
In base 11, what is 1224 + -20398?
-1a174
In base 16, what is 5e88278 + 4?
5e8827c
In base 5, what is -200 + 422010400?
422010200
In base 12, what is 10 + -415272?
-415262
In base 7, what is -130 - -13516436?
13516306
In base 5, what is 4 + 1042101211?
1042101220
In base 16, what is -5 + 12db517?
12db512
In base 16, what is -32 + -a7f20?
-a7f52
In base 4, what is -1220 - -22101310?
22100030
In base 9, what is -52716 + -2176?
-55003
In base 6, what is -32304343 - 5?
-32304352
In base 10, what is 54730875 + -2?
54730873
In base 3, what is -10012102001022022111 - -11?
-10012102001022022100
In base 2, what is 110 + 1100100001011011000?
1100100001011011110
In base 16, what is 4 + -ff6faa?
-ff6fa6
In base 2, what is -10001011 - -1011111101100010?
1011111011010111
In base 12, what is -30b - -156980?
156671
In base 8, what is -56 - -12233?
12155
In base 8, what is -12216111474 - 2?
-12216111476
In base 16, what is -41 - -3c739f?
3c735e
In base 4, what is -202033 - 223010133?
-223212232
In base 7, what is 225044046 - -6?
225044055
In base 4, what is -1000 - -121033210?
121032210
In base 11, what is 222443a - -2a?
2224469
In base 7, what is 65125 - -20641?
116066
In base 5, what is 24311241 - -2321?
24314112
In base 4, what is 2310310100 + 33?
2310310133
In base 9, what is 7 - -5244050?
5244057
In base 16, what is 39d25 - -18a?
39eaf
In base 5, what is -414344412 - -1?
-414344411
In base 15, what is 234 - 26ce?
-249a
In base 9, what is -613 - -328460?
327746
In base 8, what is -4510 - 32741?
-37451
In base 10, what is -4 + -12234023?
-12234027
In base 15, what is 1d7e690 + -5?
1d7e68a
In base 3, what is -1021211100 - 102211?
-1022021011
In base 8, what is 11471410 - -222?
11471632
In base 12, what is 5 - -7b9310?
7b9315
In base 6, what is -1 + 4313231402?
4313231401
In base 9, what is -1483 + 54044?
52451
In base 3, what is -1222212222100101 + -1?
-1222212222100102
In base 10, what is -13029 + -1725?
-14754
In base 16, what is -103 - -c4593?
c4490
In base 11, what is a + 164317a?
1643189
In base 14, what is 1b - -6599b?
659b8
In base 15, what is 72d + -a303?
-9ac5
In base 9, what is -128844 + 27?
-128816
In base 11, what is -6591011 + -5?
-6591016
In base 5, what is -3330410324430 - 0?
-3330410324430
In base 13, what is 401a999 - 3?
401a996
In base 5, what is 234 - -13003242?
13004031
In base 4, what is -2301 + 102211212?
102202311
In base 10, what is -1626 - 10059?
-11685
In base 9, what is 2733802 - -2?
2733804
In base 4, what is -1231200 - -30130?
-1201010
In base 13, what is 49430b92 + -1?
49430b91
In base 15, what is 26788 + 2a?
267b3
In base 16, what is 27 + -35ba7?
-35b80
In base 9, what is -237423478 + 2?
-237423476
In base 12, what is -28a8a - 62?
-28b30
In base 12, what is -8636776 + -5?
-863677b
In base 5, what is -202 - 11114042?
-11114244
In base 6, what is -213051400 + -5?
-213051405
In base 12, what is -66 - 162221?
-162287
In base 12, what is -1 - 29583990?
-29583991
In base 13, what is -55b180 - -1?
-55b17c
In base 9, what is 12 + -7823717?
-7823705
In base 5, what is 3 + 14001132033?
14001132041
In base 2, what is -1111100110 + 11110000000?
1110011010
In base 11, what is -30a5a + -1a?
-30a79
In base 16, what is 378b + -105?
3686
In base 11, what is 1 + -12109253?
-12109252
In base 7, what is -205141023 - 10?
-205141033
In base 4, what is 30322002333333 - 2?
30322002333331
In base 2, what is -1111 - -110010111111101011000?
110010111111101001001
In base 9, what is 27277 + -6308?
20868
In base 15, what is -3 - -227d969?
227d966
In base 6, what is -2012 - -1304204?
1302152
In base 10, what is -113096729 - 0?
-113096729
In base 4, what is 23303100033 - -12?
23303100111
In base 14, what is 7b534a6 + -4?
7b534a2
In base 16, what is -1a7a5 + -fb?
-1a8a0
In base 16, what is 5 - 52d8c8?
-52d8c3
In base 16, what is -98 + 69278?
691e0
In base 8, what is 26024 - -57101?
105125
In base 14, what is a + -537dc4c?
-537dc42
In base 11, what is 10 + 445359?
445369
In base 7, what is 304 - -1512223?
1512530
In base 8, what is 107562173 - 0?
107562173
In base 8, what is -430 + -224127?
-224557
In base 4, what is 1 + 11201132112?
11201132113
In base 11, what is 3 + -3a13488?
-3a13485
In base 3, what is 111000120 + -1022000?
102201120
In base 16, what is -4 - 10e68f?
-10e693
In base 15, what is -134d89 - 1?
-134d8a
In base 14, what is 4a5 - 42aa0?
-425d9
In base 10, what is 0 + 1258839?
1258839
In base 16, what is 34d - -1f05?
2252
In base 9, what is -1618761 + -4?
-1618765
In base 6, what is -30 + -1001141144?
-1001141214
In base 7, what is -43053 + -3060?
-46143
In base 15, what is -4b - 1d3c?
-1d88
In base 16, what is c094 + 2ec?
c380
In base 15, what is -2 + 6c8187?
6c8185
In base 5, what is 1300 - -1024023130?
1024024430
In base 2, what is -1010010111010010100 - -1?
-1010010111010010011
In base 5, what is -23004 - -114?
-22340
In base 14, what is 14b + -7b348?
-7b1db
In base 8, what is 42002 - -5315?
47317
In base 16, what is 4b + 5167?
51b2
In base 12, what is 264aa7 - -29?
264b14
In base 2, what is 1110011100101000111110 + -1001010?
1110011100100111110100
In base 7, what is -1 - -3343415545?
3343415544
In base 14, what is 3725d16 - 2?
3725d14
In base 16, what is 11faf + -6c?
11f43
In base 5, what is -31400303202 + -1?
-31400303203
In base 3, what is -2 + -21021212211111?
-21021212211120
In base 2, what is -1011111010101100110110101010 + 110?
-1011111010101100110110100100
In base 4, what is 102200100302113 - -10?
102200100302123
In base 9, what is -4 + -65285735?
-65285740
In base 10, what is -5 + 2753336?
2753331
In base 10, what is -36043 + -551?
-36594
In base 14, what is -189236 - 17a?
-1893b2
In base 4, what is 31200 + 32002202?
32100002
In base 16, what is 19 + -219e19?
-219e00
In base 10, what is -19899 - -3695?
-16204
In base 3, what is 21200012012210 + 1?
21200012012211
In base 14, what is 5 + 63620c?
636213
In base 8, what is -3 + -3110220?
-3110223
In base 5, what is -3034010 + 24?
-3033431
In base 4, what is 320132110 + 13?
320132123
In base 16, what is c66ea + -154?
c6596
In base 3, what is 12001112010121 - -10?
12001112010201
In base 11, what is -4864887 + a?
-4864878
In base 8, what is 44477 + 346?
45045
In base 6, what is -2421 + 22534?
20113
In base 11, what is -11 + 2a9996?
2a9985
In base 11, what is 1233 + 26a2aa?
270532
In base 15, what is -4913d08 + 1?
-4913d07
In base 16, what is a2 - 7ae?
-70c
In base 16, what is -2 - 5dbcfd?
-5dbcff
In base 5, what is -24 + -130143244?
-130143323
In base 13, what is 9824 + 190?
99b4
In base 9, what is 8 - 37036?
-37027
In base 9, what is 5 + -53665632?
-53665626
In base 16, what is -165c358 - -2?
-165c356
In base 10, what is 38996 - -835?
39831
In base 12, what is -790 - 109885?
-10a455
In base 10, what is 0 + -2222205?
-2222205
In base 6, what is 3235023 - 23?
3235000
In base 10, what is 36 - -2974097?
2974133
In base 16, what is 2b - 142818?
-1427ed
In base 12, what is 11aaa + 6643?
18531
In base 6, what is -5 + -1043543420?
-1043543425
In base 14, what is d2997 + -191?
d2806
In base 2, what is 1000101101111000111001 - -1011?
1000101101111001000100
In base 14, what is 5 + -350d449?
-350d444
In base 8, what is -25 - -423473?
423446
In base 3, what is -10 + 20100201221100122?
20100201221100112
In base 3, what is -10222010110011000 + 10?
-10222010110010220
In base 12, what is -51b140a0 + 4?
-51b14098
In base 8, what is 2212561 - 1731?
2210630
In base 12, what is -19a2 - -86437?
84655
In base 3, what is -101100212022212 - -11?
-101100212022201
In base 9, what is 7817 + -18283?
-10365
In base 3, what is 2 + -11220101202122121?
-11220101202122112
In base 12, what is 8705779 + 1?
870577a
In base 7, what is 4220 - 615236?
-611016
In base 5, what is -3 - -32313112?
32313104
In base 12, what is -52 + 13173a?
1316a8
In base 4, what is 20 + -12301210232102?
-12301210232022
In base 12, what is 633 + -4122?
-36ab
In base 14, what is 9a6ad - 98?
9a615
In base 12, what is -902b + -183?
-91b2
In base 16, what is -1 + -126ce?
-126cf
In base 15, what is -1494 + -2c5e?
-4203
In base 14, what is -1b5bc2d - -30?
-1b5bbdd
In ba
|
{
"pile_set_name": "DM Mathematics"
}
|
6*t. Let o = -2 + 9. Suppose s = o*s - t. Is s prime?
False
Let k(o) = -3462*o + 23. Is k(-8) a prime number?
False
Let x = -2243 + 3336. Suppose -2*s + x + 69 = 0. Is s composite?
True
Let g = 108481 - 61230. Is g composite?
False
Let t(r) = -4*r**3 - 20*r**2 + 2*r + 35. Is t(-18) prime?
False
Suppose k + 5*m + 22 = 0, -k - m + 8 = -2*m. Suppose -2*w + 699 = w + 3*v, -k*v - 699 = -3*w. Is w prime?
True
Let q = 1582 - -313. Is q prime?
False
Let z(q) = -q. Let r(a) = -4*a**2 - 3*a - 5. Let j(u) = -r(u) - 5*z(u). Is j(14) a composite number?
True
Let j be 3 + -5 + 6 - 4. Suppose j = 6*f - 3*f - 174. Is f a prime number?
False
Let u(b) = 49*b**2 + 37*b + 221. Is u(-33) composite?
False
Let b = 1245 + -631. Suppose 2*l = -2*f + 5*l + 413, b = 3*f + l. Is f prime?
False
Suppose 11*l + 20 = 15*l, -2511 = -4*g + l. Is g a prime number?
False
Suppose -128*q = -121*q - 13811. Is q composite?
False
Let c = -624 - -1155. Let g = 922 - c. Is g composite?
True
Let u be (-2 + 11228)/(-3) + 2/2. Let h = u + 5398. Is h a composite number?
False
Let h(w) = -w**3 + 4*w**2 + 5*w + 8. Let a be h(5). Let p(i) = 5*i - 19. Is p(a) a composite number?
True
Let m be (-1568)/72 - (-4)/(-18). Let s = m - -20. Is s + 37 + 6/3 a prime number?
True
Let s be (-2 + 1)*1*(16 + -16). Let d(w) = -15*w + 263. Is d(s) composite?
False
Suppose -24*c - 30 = -34*c. Let f be (-2)/(-8) - (-7)/4. Suppose c*w - 278 = -f*z, -3*z - 3*w + 234 = -189. Is z composite?
True
Is (20 - 24)*((-451)/4 + 0) prime?
False
Let i(v) = 12*v**2 - 19*v + 21. Is i(-12) prime?
False
Suppose -3*f + 3982 + 509 = 0. Let i = f - 1004. Is i prime?
False
Suppose 0 = 4*z - 10595 - 52737. Is z prime?
False
Is 37 + (-12 - -8)/(2/3) a prime number?
True
Let y = 22662 - -6823. Is y prime?
False
Suppose 1172 + 244 = 4*v. Suppose -3*l - 810 = -129. Let d = v + l. Is d a prime number?
True
Let s be (-2 - -3)/(-1) + 104. Suppose -s = 4*x - 5*x. Let j = x + -34. Is j a prime number?
False
Suppose -2*r = -4*f + 2*f - 1404, -2*f = r - 702. Let g = r - 415. Is g composite?
True
Let t(x) = -6*x - 2. Let s be t(-1). Suppose -3*g + k = -0*k - 188, -s*g + 2*k = -252. Let i = 109 - g. Is i a prime number?
True
Suppose 0 = -3*s + 12306 + 2070. Suppose 0 = 3*o - s - 18155. Is o composite?
False
Suppose -3*x - 55*b = -50*b - 2905, -5*x - 3*b + 4831 = 0. Is x a prime number?
False
Suppose -57728 = -6*w + 14494. Is w prime?
True
Suppose 11*c = 8*c - 855. Let d = 592 + c. Is d a prime number?
True
Let f = -11 - -47. Suppose -q = -k + f + 156, 0 = q + 5. Is k a composite number?
True
Is 0 + 8545 + -100 + 97 a composite number?
True
Suppose -u + 820 = 3*u. Is u composite?
True
Suppose 0 = 5*h - 5*a - 9465, -3*a + 13 = 1. Is h prime?
False
Let o(z) = 21*z**2 + 60*z - 23. Is o(-30) a composite number?
False
Let l(v) = -41*v**3 - 6*v**2 + 4*v + 2. Let b(j) = j**2 - 4*j - 3. Let i be b(4). Is l(i) a prime number?
False
Is ((-1)/(-4))/(3/23388) composite?
False
Suppose 4*z - b + 2 = 0, 0 = 2*z + b - 2 - 0. Suppose -2*q - 1878 + 8990 = z. Is (q/21)/(4/6) composite?
True
Let t(m) = 15*m**3 - 5*m**2 + 5*m - 13. Let c be (18/4)/((-9)/(-12)). Is t(c) prime?
False
Let w be (-60)/(-16) + 1/4. Suppose -4*d = t - 0*t - 13, -2*t = -3*d - w. Is 4 - ((d - 2) + -181) a prime number?
False
Let d(f) be the third derivative of 0 + 0*f + 9/10*f**6 - 5*f**2 + 0*f**4 + 1/60*f**5 + 0*f**3. Is d(1) a composite number?
False
Suppose -10*h - 6*h = -29936. Suppose 2*c - 5*g + 7429 = 6*c, 0 = -c - 4*g + h. Is c a prime number?
False
Suppose 43 = -7*h - 90. Let i(x) = -x**3 - 15*x**2 + 18*x + 39. Is i(h) composite?
True
Let f = 5199 - 2036. Is f a prime number?
True
Suppose 0 = -2*h + 4*w + 26, -31 = -3*h + 6*w - 2*w. Suppose 0 = h*r + 5*i + 106 - 461, -3*r - i = -203. Suppose 3*c = 315 + r. Is c a prime number?
True
Let d = 7 + 134. Is d prime?
False
Suppose -12 = -x - 3*x. Suppose -1003 = -x*q - 10. Is q a composite number?
False
Suppose 4*y + 94 = 3*n, n + 4*y = 2*y + 38. Suppose n = c - 289. Is c a prime number?
False
Is 295/177 + (-9236)/(-6) a composite number?
True
Let c(p) = -p**3 + 14*p**2 - 12*p - 10. Let i be c(13). Suppose -i*f + 2765 = 4*s, 0*s - 4*f - 715 = -s. Is s a composite number?
True
Is (-9)/(-15) - (550669/(-35) - -7) composite?
False
Suppose -4*p = -0*u + 5*u - 15, 3*u = 3*p - 18. Let n be ((-4)/(-5))/(p/75). Is 2/(-8) + 1899/n prime?
False
Let h(r) = 3*r**3 + 7*r**2 - 12*r + 5. Is h(8) a prime number?
False
Is 287/(-3 + 6 + -2) composite?
True
Suppose t = -3*s + 163, -5*t + t - 50 = -s. Is 2*(47475/s + 1/3) composite?
False
Suppose 0 = a - 14 + 2. Is (934/(-8))/((-3)/a) a composite number?
False
Let t = 195 - 52. Is 130 - (t/55 + 4/10) composite?
False
Suppose 0 = 4*q - 3*q - 900. Let g = -413 + q. Is g prime?
True
Let c(n) = 41*n + 30*n - 8*n - 11. Is c(2) composite?
True
Let r be 108*4/4 + 3. Suppose 2*i - 5*i + r = 0. Is i a prime number?
True
Let n = 1043 - -548. Is n composite?
True
Let i = -38 + 40. Suppose i*v - 293 = 137. Is v composite?
True
Suppose 56*s = 61*s - 11230. Is s a prime number?
False
Let d(q) = q**3 - 3*q**2 - 6*q + 1. Let v be d(8). Let s = 1064 - v. Is s prime?
False
Suppose -2*x - 2978 = -0*x + 4*r, 4*x + 2*r = -5962. Let l = -969 - x. Let t = l + -309. Is t prime?
False
Let i = 160 - -1458. Is i composite?
True
Is 9 + -14 + (3 - 2)*456 prime?
False
Let y(j) = 2*j**2 + 12*j - 9. Let a be y(9). Let q = a - 166. Let g = 184 - q. Is g composite?
False
Let i = -16 + 16. Suppose i*b - 2*f = -b + 424, 1217 = 3*b + 5*f. Is (2/6)/(6/b) composite?
False
Suppose 40 = -3*j - j. Let z = j + 10. Suppose 13*h - 16*h + 669 = z. Is h a prime number?
True
Let l(n) = 3360*n**2 + 13*n + 12. Is l(-1) a composite number?
False
Let n = 3192 - 1623. Is n prime?
False
Let j(y) = -15*y**3 + 4*y**2 + 6*y - 4. Is j(-3) composite?
False
Let g(s) = -10*s - 6. Let z be g(13). Let q = z + 295. Is q prime?
False
Suppose 0 = -3*k + 2*q + 16, -2*k + 4*k + q + 1 = 0. Suppose k*s - 18 = 5*s. Is (-314)/s*(3 + 0) a prime number?
True
Suppose -l - 144 = 2*l. Let i = 73 + l. Let o = -6 + i. Is o a composite number?
False
Let v(w) = 633*w + 56. Is v(7) a composite number?
True
Suppose -10*v = -6*v - 35336. Suppose 94*u = 92*u + v. Is u prime?
False
Let c = -316 + 303. Let q(i) be the first derivative of i**4/4 + 5*i**3 + 5*i**2 - 17*i - 2. Is q(c) a composite number?
False
Let r = -16148 - -31501. Is r a prime number?
False
Let z(l) = -381*l + 28. Is z(-9) prime?
True
Let h be (-2)/((10/25)/((-3)/5)). Suppose 0 = -h*c + 469 + 404. Is c prime?
False
Let u = 31491 - -11626. Is u prime?
True
Let a be 1/3 + 6251/3. Suppose 0 = -9*b + a + 2839. Is b prime?
True
Suppose -144*h + 145*h = -634. Is (h/4)/(5/10 + -1) a prime number?
True
Let y = 210 - -644. Let a = 1265 - y. Is a composite?
True
Let w(k) = k**3 - 59*k**2 - 40*k - 79. Is w(60) composite?
True
Let k = 19 + -29. Is (-2)/k + (-18194)/(-55) composite?
False
Let d(m) = -106*m**2 - 13*m - 8. Let b be d(7). Let y = b - -8748. Is y a composite number?
True
Let k be 16/24*339/2. Let j(d) = -d**2 - 5*d + 6. Let s be j(6). Let f = s + k. Is f composite?
False
Suppose x - 5*x - 172 = 0. Let q = x + 73. Let p = 61 - q. Is p prime?
True
Suppose 13*g - 32*g = -33763. Is g a composite number?
False
Let f(g) = 263*g**2 + 3*g - 1. Let l = 24 - 22. Is f(l) a prime number?
False
Let w be 4 - 2/((-8)/(-12)). Let p = w - -3. Suppose 156 = -p*l + 8*l. Is l a prime number?
False
Suppose 16*u - 84*u + 3636028 = 0. Is u composite?
True
Suppose -q + 4*q = 3*f + 3, -4*f - 4*q = -20. Suppose 4*m - 36167 = -5*p, 16184 = 5*p - f*m - 19995. Is p composite?
True
Suppose 0 = -12*i + 816751 - 268555. Is i a prime number?
False
Suppose 0 = 5*q - 4*q - 27. Let s be (-18)/q - 154/(-6). Suppose -5*p = -d + 332, -d - s = -2*p - 342. Is d prime?
True
Is (3 - (-1807)/4*-2)*-4 a composite number?
True
Let j(u) = u + 7. Let m be j(-7). Suppose -y + m*y = -4. Suppose 5*s + 4*z - 1321 = 2120, -4*s + 2756 = y*z. Is s a composite number?
True
Let v be ((-4)/(-3))/(2/159). Suppose t + 11 = -v. Let l = 25 - t. Is l a composite number?
True
Let z(j) = j**2 - 12*j + 11. Let u be z(10). Let a = u + 27. Let y = 131 + a. Is y a prime number?
True
Let t = -22 + 24. Suppose t*g = 5*g. Suppose 2*q - 7*q + 55 = g. Is q a prime number?
True
Let x(d) = d**2
|
{
"pile_set_name": "DM Mathematics"
}
|
. What is the remainder when t is divided by 35?
34
Suppose 0 = -6*f + q + 1107, -1331*f + 1336*f - 940 = 2*q. Calculate the remainder when f is divided by (-1)/((-2)/190) + 1.
86
Let u = 13866 + -13818. What is the remainder when 2780 is divided by u?
44
Suppose -92*d = -101*d + 1260. Calculate the remainder when 276 is divided by d.
136
Let o = -117 - -514. Calculate the remainder when o is divided by 5/((-30)/(-116)) - 54/(-81).
17
Let i = -19 - -5. Calculate the remainder when 2/(((-252)/1053)/i) is divided by 15.
12
Suppose 42*p = 39*p + 12. Suppose p*o = -0*d - 4*d + 316, 0 = 5*o - 4*d - 395. Calculate the remainder when 309 is divided by o.
72
Suppose 0 = 4*u - 4*r - 552, -5*u + 19*r - 15*r = -684. Calculate the remainder when 1583 is divided by u.
131
Suppose 0 = -14*f + 5*h + 5218, -2*f + 9*h = 6*h - 750. Calculate the remainder when 1368 is divided by f.
252
Let f = -241 - -545. Calculate the remainder when 297 is divided by (f/(-64) + 4*1)*-20.
12
What is the remainder when 531 is divided by -1*(-1)/((-10)/(-590))?
0
Let o(m) = -m**3 - 3*m**2 + m - 1. Let z = 55 + -60. What is the remainder when o(z) is divided by 31?
13
Suppose -3*j = -143 - 43. Let l = 1486 - 1478. Calculate the remainder when j is divided by l.
6
Suppose 7448 = 119*y - 5*y + 38*y. Calculate the remainder when 190 is divided by y.
43
Let p(w) = -2*w**3 - w**2 - 16*w + 5. Let n be p(-5). Let t = n - 280. Let v = 101 + -43. Calculate the remainder when v is divided by t.
28
Let s = -13855 - -13864. Calculate the remainder when 3071 is divided by s.
2
Suppose 4*d + 6 = 6*d. Suppose d*h = 15 - 3. Calculate the remainder when (-8)/(-2)*(4 - (-110)/(-40)) is divided by h.
1
Suppose -h - 1040 = -4*d, 1040 = 4*d - 127*h + 124*h. What is the remainder when d is divided by 34?
22
What is the remainder when (117/12)/((-12)/(-22) + (-9795)/18260) is divided by 40?
39
Let b(x) = -74*x**3 - 3*x**2 + 8*x + 11. Calculate the remainder when 353 is divided by b(-1).
57
Calculate the remainder when 6562 is divided by 23 + 16 + 69 - -26.
130
Suppose 3*l - f = 235, 4*l + l + f = 381. Suppose -19*p + j = -20*p + 171, -3*p + 5*j = -497. What is the remainder when p is divided by l?
15
Suppose 130*d - 4452 = 77*d. Calculate the remainder when 192 is divided by d.
24
Suppose 2*o = -u + 1011, 5*o - 1482 = -u - 459. Calculate the remainder when u is divided by 53.
49
Suppose -42*u = 19*u - 4453. What is the remainder when 162 is divided by u?
16
Let p = 174 - 181. Let w(o) = -o**3 - 5*o**2 + 13*o + 1. What is the remainder when w(p) is divided by 5?
3
Let d(j) = 3*j**2 + 11*j - 7. Let g = -65 + 66. Suppose 47 = 2*p + 5*b, p + g - 17 = -5*b. What is the remainder when p is divided by d(-5)?
5
Suppose 3*t - 8*t + 30 = 0. Suppose -2*y - v + 1182 = 3*v, -3*y + 5*v + 1806 = 0. Let q = -576 + y. What is the remainder when q is divided by t?
3
Let m(i) = 287*i - 1702. Calculate the remainder when m(23) is divided by 129.
126
Suppose -3*q + 7*t = 2*t - 1156, -4*t - 1536 = -4*q. What is the remainder when q is divided by 77?
74
Let q(o) = 32*o - 4. Let x be 8 - (-26905)/(-20) - 4/(-16). Let h = x + 1368. Calculate the remainder when q(3) is divided by h.
30
Let r = -4000 + 4048. What is the remainder when 527 is divided by r?
47
Suppose 0 = 4*s + 5*s - 513. Let l be (20/(-8) + 1)*2. Calculate the remainder when s is divided by ((-228)/18 - -6)*(l - 0).
17
Let q be 6/3 - (6/2 - 0). Let j be 6 - 4 - (q - 38). Let t = j + -24. What is the remainder when 31 is divided by t?
14
Let v(w) = 3*w**2 - 57*w + 376. What is the remainder when 1472 is divided by v(12)?
108
Suppose 87 = 2*t - 3*o, 3*t + 2*o = 2*t + 26. Suppose 2*w = -4*c - t + 178, 5*w - 280 = 5*c. What is the remainder when w is divided by 18?
7
Let v(y) = -41*y - 1117. What is the remainder when v(-36) is divided by 11?
7
Suppose 14*s - 18*s = -56. Calculate the remainder when 57 is divided by s + 3/4 + (-11)/4.
9
Calculate the remainder when -2 + 1 + (81 - -3) is divided by 43/((-387)/(-432)) - 21.
2
Let f(q) = -q**3 + 24*q**2 - 3*q + 3. Let p be f(24). Calculate the remainder when ((-59)/177)/(1/p) is divided by 9.
5
Suppose -5504 = 3696*l - 3712*l. What is the remainder when l is divided by 110?
14
Suppose -1664 = -216*u + 214*u + 3110. Calculate the remainder when u is divided by 114.
107
Let f(t) = t**2 - 26*t - 532. Calculate the remainder when 104 + 0 - 8/(-4) is divided by f(40).
22
Let s(l) = l**2 - 72*l + 1158. What is the remainder when 6321 is divided by s(50)?
57
Suppose 25*j = -j + 104. Suppose -205 = -j*m - 5*z, 5*m - 2*z + 15 = 296. Calculate the remainder when 162 is divided by m.
52
Let k be 12 + (-1)/((-5)/10). Suppose -25 - k = -f. Suppose 5*s = 3*w + 3*s - 21, -5*s + 15 = 0. Calculate the remainder when f is divided by w.
3
Suppose 0*b + 38 = b. Let c = -7310 - -7389. Calculate the remainder when c is divided by b.
3
Let w = 3500 - 3491. Calculate the remainder when 1329 is divided by w.
6
Suppose -4*z + 5*w = -0*z - 21, 5*z - 4*w - 24 = 0. Suppose -3*v = z*v - 126. Suppose -v*p + 76 = -14*p. What is the remainder when 35 is divided by p?
16
Let b(t) = 2*t**2 - 80*t - 302. Calculate the remainder when 2218 is divided by b(45).
146
Suppose -2*c = 30 - 844. Suppose -2*a - 397 = -c. Calculate the remainder when 67 is divided by a.
2
Let z be ((-1)/(-3))/(19/342). Let q be (21/(-4))/((-360)/(-64) - z). Suppose -q*p = -p - 52. What is the remainder when 17 is divided by p?
1
Let l = 85 + -79. Suppose 0 = l*c - 49 + 1729. Let m = 399 + c. What is the remainder when m is divided by 12?
11
Suppose -91*a + 36288 = 5*a. Calculate the remainder when a is divided by 128.
122
Suppose -y + 14*m = 16*m - 26, -y + 4*m + 8 = 0. What is the remainder when 446 is divided by y?
6
Let u = 9071 + -9052. What is the remainder when (3 + -2)/(3/255) is divided by u?
9
Suppose -12*t - 178*t = -83*t - 665326. Calculate the remainder when t is divided by 109.
5
Suppose 0 = -4*d + 2*m + 668, -5*m = 5*d - 0*d - 835. What is the remainder when 627 is divided by d?
126
Suppose 46*m + 3*k = 50*m - 94, -70 = -3*m + 2*k. Calculate the remainder when 361 is divided by m.
9
Suppose 3926 = 22*q + 4*q + 468. What is the remainder when q is divided by 77?
56
Suppose -74 = -23*n - 28. What is the remainder when 54 is divided by -2*n/(-4) - (10 + -24)?
9
Suppose 0 = -3*n + 3*d + 1818, -16*d = -n - 9*d + 618. Calculate the remainder when n is divided by 13.
6
Suppose -989 + 7289 = 100*u. What is the remainder when 435 is divided by u?
57
Let f = -51 + 56. Suppose 0 = -h, 12*q - f*h = 7*q + 450. What is the remainder when 81 is divided by 3/(15/139) + 18/q?
25
Let y = 4 + -4. Let w(x) = 9*x - 1. Let t be w(y). Calculate the remainder when t*(14/(-35) - 226/10) is divided by 5.
3
Let g(q) = -12*q**2 + q + 13. Calculate the remainder when 3899 is divided by g(0).
12
Calculate the remainder when (4 + -5)/(2/(-6910)) - (4 - -2) is divided by 66.
17
Suppose 57 = 5*u - 13*v + 15*v, 28 = 3*u - 5*v. What is the remainder when 86 is divided by u?
9
Let l(h) = h**3 - 6*h**2 - 2*h + 4. Calculate the remainder when 971 is divided by l(7).
35
Let v(q) = q**2 - 5*q + 5. Let f(p) = 3*p - 13. Let y be f(3). Let l = 1 - y. Calculate the remainder when 12 is divided by v(l).
2
Suppose -3*f - s = 112, 4*f - 3*s + 108 = f. Let n = 828256 - 828243. Calculate the remainder when f*(-2 + 1)*1 is divided by n.
11
Let z(r) = r**3 + r**2 + 2*r + 11. Let f be z(-2). Suppose f*d - 2*p - 20 = 43, -d + 5*p + 21 = 0. Calculate the remainder when 187 is divided by d.
19
Suppose -79 = 10*y + 211. What is the remainder when 82 is divided by (y/3)/(-7 + 180/27)?
24
What is the remainder when 374 is divided by -9 - -63 - (-9 - -21)?
38
Suppose 3*j = -5*t + 39, 5*j - 91 = 4*t - 26. Suppose -j*g + 396 = -930. What is the remainder when g is divided by 12?
6
Let y be 13 - 18 - (-1 + 0). What is the remainder when ((-3)/y)/((-21)/(-2968)) is divided by 56?
50
Suppose -4*p + 579 = h, 42*p - 587 = -h + 46*p. What is the remainder when h is divided by 80?
23
Suppose 0 = -5*b + 3*x + 1047, 26*b = 28*b + 5*x - 425. Calculate the remainder when b is divided by 45.
30
Suppose -3*s = -j + 816, 2*s - 8*j + 554 = -4*j. Let x = 383 + s. Calculate the remainder when x is divided by 23.
20
Suppose 0 = -5*x - 5*l +
|
{
"pile_set_name": "DM Mathematics"
}
|
- u**2 + 6*u + 4100
What is the d'th term of 132, 555, 1254, 2217, 3432, 4887, 6570, 8469?
-2*d**3 + 150*d**2 - 13*d - 3
What is the m'th term of -11116, -22207, -33298, -44389, -55480, -66571?
-11091*m - 25
What is the s'th term of 49166, 49116, 49066, 49016, 48966, 48916?
-50*s + 49216
What is the j'th term of -140, -211, -304, -425, -580?
-j**3 - 5*j**2 - 49*j - 85
What is the y'th term of 2908, 5827, 8746, 11665?
2919*y - 11
What is the i'th term of -1138, -1234, -1328, -1420, -1510, -1598?
i**2 - 99*i - 1040
What is the o'th term of 735, 1436, 2139, 2844, 3551, 4260?
o**2 + 698*o + 36
What is the f'th term of 17336, 17344, 17352, 17360, 17368?
8*f + 17328
What is the b'th term of 44148, 43958, 43768, 43578?
-190*b + 44338
What is the m'th term of -476, -412, -348, -284?
64*m - 540
What is the i'th term of 34073, 34084, 34095, 34106, 34117, 34128?
11*i + 34062
What is the n'th term of -398, -1016, -1634, -2252, -2870, -3488?
-618*n + 220
What is the m'th term of 266, 2032, 6794, 16046, 31282, 53996, 85682, 127834?
249*m**3 + 4*m**2 + 11*m + 2
What is the w'th term of -7240, -14331, -21422, -28513, -35604, -42695?
-7091*w - 149
What is the s'th term of -84062, -84060, -84058?
2*s - 84064
What is the v'th term of 8734, 17472, 26210, 34948, 43686, 52424?
8738*v - 4
What is the w'th term of 44750, 44741, 44732, 44723, 44714?
-9*w + 44759
What is the b'th term of 71870, 143744, 215618, 287492?
71874*b - 4
What is the v'th term of -7148, -7062, -6920, -6722, -6468, -6158, -5792?
28*v**2 + 2*v - 7178
What is the h'th term of -1138, -2256, -3368, -4480, -5598, -6728, -7876, -9048?
-h**3 + 9*h**2 - 1138*h - 8
What is the c'th term of -887, -1736, -2539, -3284, -3959?
2*c**3 + 11*c**2 - 896*c - 4
What is the l'th term of 15, 99, 299, 669, 1263, 2135, 3339?
9*l**3 + 4*l**2 + 9*l - 7
What is the t'th term of 443, 477, 103, -679, -1869, -3467, -5473?
-204*t**2 + 646*t + 1
What is the c'th term of 1021, 1165, 1429, 1825, 2365, 3061, 3925, 4969?
2*c**3 + 48*c**2 - 14*c + 985
What is the q'th term of 410, 421, 436, 455, 478, 505, 536?
2*q**2 + 5*q + 403
What is the i'th term of -57, -323, -589?
-266*i + 209
What is the s'th term of 30122, 30126, 30142, 30176, 30234, 30322?
s**3 - 3*s + 30124
What is the i'th term of 64, 156, 258, 370?
5*i**2 + 77*i - 18
What is the f'th term of -5413, -5419, -5425, -5431, -5437?
-6*f - 5407
What is the t'th term of -242, -304, -414, -578, -802, -1092, -1454, -1894?
-t**3 - 18*t**2 - t - 222
What is the d'th term of -435, -844, -1217, -1536, -1783?
3*d**3 - 430*d - 8
What is the t'th term of 1126, 1073, 1022, 973?
t**2 - 56*t + 1181
What is the d'th term of -28, -20, 84, 332, 772, 1452, 2420?
8*d**3 - 48*d + 12
What is the h'th term of -22, 76, 194, 344, 538, 788, 1106?
2*h**3 - 2*h**2 + 90*h - 112
What is the w'th term of 6, -52, -96, -120, -118?
w**3 + w**2 - 68*w + 72
What is the s'th term of -13052, -13129, -13206, -13283, -13360?
-77*s - 12975
What is the s'th term of -6, -345, -1348, -3345, -6666, -11641, -18600?
-55*s**3 - 2*s**2 + 52*s - 1
What is the v'th term of 1216, 1241, 1266, 1291, 1316?
25*v + 1191
What is the v'th term of -33350, -66705, -100060, -133415, -166770?
-33355*v + 5
What is the m'th term of -126, -449, -986, -1737, -2702, -3881?
-107*m**2 - 2*m - 17
What is the v'th term of 299, 499, 713, 947, 1207, 1499, 1829, 2203?
v**3 + v**2 + 190*v + 107
What is the s'th term of 112617, 112616, 112615, 112614?
-s + 112618
What is the v'th term of -956, -5476, -13008, -23552, -37108, -53676, -73256?
-1506*v**2 - 2*v + 552
What is the d'th term of -1764, -3601, -5438, -7275?
-1837*d + 73
What is the p'th term of -41227, -41229, -41233, -41239, -41247?
-p**2 + p - 41227
What is the g'th term of -397, -747, -1097?
-350*g - 47
What is the r'th term of 828, 1715, 2604, 3495, 4388, 5283, 6180?
r**2 + 884*r - 57
What is the d'th term of 42770, 42768, 42766, 42764, 42762, 42760?
-2*d + 42772
What is the u'th term of 16999, 16963, 16913, 16843, 16747?
-u**3 - u**2 - 26*u + 17027
What is the l'th term of -4403, -35212, -118831, -281666, -550123?
-4401*l**3 + l**2 - 5*l + 2
What is the b'th term of -186, -479, -778, -1083, -1394, -1711, -2034?
-3*b**2 - 284*b + 101
What is the l'th term of -1520, -1525, -1534, -1547?
-2*l**2 + l - 1519
What is the m'th term of -348, -680, -1026, -1386, -1760, -2148?
-7*m**2 - 311*m - 30
What is the p'th term of 1145, 2326, 3509, 4694, 5881, 7070, 8261?
p**2 + 1178*p - 34
What is the b'th term of -16964, -17007, -17052, -17099, -17148, -17199, -17252?
-b**2 - 40*b - 16923
What is the t'th term of -256, -846, -1830, -3208, -4980?
-197*t**2 + t - 60
What is the q'th term of -479, -605, -723, -833?
4*q**2 - 138*q - 345
What is the a'th term of -5951, -11326, -16701, -22076, -27451, -32826?
-5375*a - 576
What is the t'th term of -780, -804, -786, -720, -600, -420?
t**3 + 15*t**2 - 76*t - 720
What is the l'th term of 2069, 2075, 2081, 2087, 2093?
6*l + 2063
What is the w'th term of 3567, 14252, 32059, 56988?
3561*w**2 + 2*w + 4
What is the y'th term of 3929, 8063, 12197?
4134*y - 205
What is the b'th term of -26169, -26165, -26161, -26157, -26153?
4*b - 26173
What is the i'th term of -37, 10, 123, 332, 667, 1158?
5*i**3 + 3*i**2 + 3*i - 48
What is the f'th term of -1131550, -1131547, -1131542, -1131535?
f**2 - 1131551
What is the p'th term of 172, 117, 24, -107?
-19*p**2 + 2*p + 189
What is the j'th term of -488, -1845, -4076, -7181, -11160, -16013, -21740?
-437*j**2 - 46*j - 5
What is the h'th term of -347096, -694191, -1041286?
-347095*h - 1
What is the i'th term of -40869, -40833, -40797, -40761, -40725, -40689?
36*i - 40905
What is the a'th term of 715, 1668, 2851, 4258, 5883, 7720?
-a**3 + 121*a**2 + 597*a - 2
What is the q'th term of 1775, 7099, 15975, 28409, 44407, 63975, 87119?
q**3 + 1770*q**2 + 7*q - 3
What is the h'th term of -138301, -138303, -138305, -138307?
-2*h - 138299
What is the k'th term of 6250, 7048, 7844, 8638, 9430, 10220, 11008?
-k**2 + 801*k + 5450
What is the m'th term of 9649, 9797, 9945, 10093?
148*m + 9501
What is the u'th term of -57787, -57769, -57715, -57607, -57427?
3*u**3 - 3*u - 57787
What is the t'th term of -7539, -30162, -67867, -120654, -188523?
-7541*t**2 + 2
What is the w'th term of -236, -238, -234, -218, -184, -126?
w**3 - 3*w**2 - 234
What is the f'th term of -98, -122, -204, -374, -662, -1098?
-5*f**3 + f**2 + 8*f - 102
What is the w'th term of 63, 177, 277, 357, 411?
-w**3 - w**2 + 124*w - 59
What is the k'th term of 7140, 7144, 7150, 7158, 7168, 7180, 7194?
k**2 + k + 7138
What is the o'th term of -1333, -2672, -4007, -5332, -6641?
o**3 - 4*o**2 - 1334*o + 4
What is the x'th term of -5096, -5173, -5300, -5477, -5704?
-25*x**2 - 2*x - 5069
What is the q'th term of -309374, -618744, -928114?
-309370*q - 4
What is the s'th term of -524, -1064, -1604, -2144, -2684, -3224?
-540*s + 16
What is the r'th term of -9762, -9763, -9772, -9795, -9838?
-r**3 + 2*r**2 - 9763
What is the i'th term of 176, 785, 2452, 5705, 11072, 19081, 30260, 45137?
88*i**3 + i**2 - 10*i + 97
What is the c'th term of 23, 22, 23, 32, 55, 98?
c**3 - 5*c**2 + 7*c + 20
What is the x'th term of 166116, 166117, 166118, 166119, 166120?
x + 166115
What is the j'th term of 7329, 14649, 21963, 29271?
-3*j**2 + 7329*j + 3
What is the s'th term of 5227, 10455, 15683, 20911, 26139, 31367?
5228*s - 1
What is the g'th term of 1290, 5145, 11566, 20553, 32106, 46225?
1283*g**2 + 6*g + 1
What is the g'th term of 69, -187, -1067, -2883, -5947, -10571?
-52*g**3 + 108*g + 13
What is the l'th term of 120, 515, 1184, 2127, 3344, 4835, 6600?
137*l**2 - 16*l - 1
What is the w'th term of 9205, 9202, 9199, 9196, 9193, 9190?
-3*w + 9208
What is the q'th term of -2218, -2911, -3604, -4297?
-693*q - 1525
What is the x'th term of 133, 1347, 4631, 11017, 21537, 37223, 59107, 88221?
172*x**3 + 3*x**2 + x - 43
What is the s'th term of 3318, 3323, 3338, 3369, 3422, 3503, 3618?
s**3 - s**2 + s + 3317
What is the c'th term of 72, 513, 1248, 2277?
147*c**2 - 75
What is the n'th term of -196, -284, -428, -628?
-28*n**2 - 4*n - 164
What is the g'th term of 116, 237, 482, 845, 1320?
-g**3 + 68*g**2 - 76*g + 125
What is the a'th term of -993, -2042, -3075, -4092, -5093?
8*a**2 - 1073*a + 72
What is the p'th term o
|
{
"pile_set_name": "DM Mathematics"
}
|
*f**2*l - 739*b*f - 86*b*l wrt f.
-4*b**3 - 53283656*b*l
Find the third derivative of 1041488*j**5 - 2970008*j**2.
62489280*j**2
What is the second derivative of -33236*c**2*o**2 + 35606*c**2*o - 212*c*o**2 - 16*c*o wrt o?
-66472*c**2 - 424*c
Find the third derivative of 3*d**3*p**4 - 63*d**3*p**2 - 8*d**3*p + 4*d**3 + 18*d**2*p**2 - d**2 - p**5 - 6097133*p**3 wrt p.
72*d**3*p - 60*p**2 - 36582798
What is the second derivative of 1285226*i**2*w**2*z + i**2*w*z + 7*i*w + 1015*i*z - 5*w*z - 3*w - 1 wrt w?
2570452*i**2*z
Find the second derivative of -8995095*j**2*p**3 - 6259*j*p**2 - j*p - 2*j - 522*p**3 wrt j.
-17990190*p**3
What is the second derivative of 19964*x**3 - 1368*x**2 + 2*x - 100772803 wrt x?
119784*x - 2736
What is the second derivative of 25364009*a**2 - 30454016*a wrt a?
50728018
What is the second derivative of 11532299*b**5 - 42*b**4*k**2 - b*k**2 - 3*b*k + 254*k**2 - 3*k + 2318 wrt b?
230645980*b**3 - 504*b**2*k**2
Find the second derivative of 559*n*v**4 + 2*n*v - 6*n - 40060*v**5 - 2676444*v wrt v.
6708*n*v**2 - 801200*v**3
Find the second derivative of -158373296*k**2 + 72089430*k wrt k.
-316746592
Find the second derivative of -1178262*q**3 + 20084895*q.
-7069572*q
Find the third derivative of -39111*m**4*o + m**4 - 2*m**3*o - 2929013*m**2*o wrt m.
-938664*m*o + 24*m - 12*o
Find the first derivative of 6*f**4 + 1111205*f + 435987428.
24*f**3 + 1111205
What is the third derivative of -503*m*u*y**4 - 101933*m*u*y**2 - 87*m*u - 146759*m*y**6 - 11*m*y wrt y?
-12072*m*u*y - 17611080*m*y**3
What is the second derivative of 75721786*c**2*i**3 - 98691*c*i - 2*i**3 - 11*i**2 wrt c?
151443572*i**3
Find the second derivative of -n**3*q**2 - 2*n**3*q + 4*n**3 - 82*n**2*q**2 + 23*n**2 + 3*n*q + 147987*q**2 - 4*q + 339 wrt q.
-2*n**3 - 164*n**2 + 295974
Find the second derivative of -9893233*h**2 - 5015208*h wrt h.
-19786466
What is the second derivative of 2573*r**4 - 2798*r**3 - 55987254*r wrt r?
30876*r**2 - 16788*r
Differentiate -h**2*q*y + 6*h**2*y - 21265479*h*q*y + 33815536*h*y + q*y with respect to q.
-h**2*y - 21265479*h*y + y
What is the third derivative of 59433452*z**3 - 6169330*z**2 wrt z?
356600712
What is the third derivative of -9*x**5 + 299511*x**4 - 16*x**3 - x**2 + 78009079*x + 1?
-540*x**2 + 7188264*x - 96
Differentiate -2625*a**2*s + 752*a**2 - 15916*a*s - 55890 wrt s.
-2625*a**2 - 15916*a
Find the second derivative of -3*a**3 + 4724*a**2*j**3 + 49*a**2*j - a*j**3 - 238996*a*j**2 + a*j - 2*a - 3*j**3 - 2*j wrt a.
-18*a + 9448*j**3 + 98*j
Find the second derivative of -697859048*a*y**2 - 2*a*y + 55412564*a - y wrt y.
-1395718096*a
Find the third derivative of -133736766*s**3 - 7*s**2 + 25*s + 53338.
-802420596
Find the second derivative of -234660644*w**2 + 83*w + 66498.
-469321288
Find the third derivative of -1382*r**2*z**3 + 5*r**2*z**2 - 6754*r**2 + 81*r*z**3 + 5*r - 49*z**3 - 208*z**2 wrt z.
-8292*r**2 + 486*r - 294
What is the derivative of 3*d*x - 223588*d - 1100572*x - 16 wrt x?
3*d - 1100572
Find the third derivative of 35830530*m**5 - 17772881*m**2.
2149831800*m**2
What is the second derivative of 10547599*a**4 - 3320293*a wrt a?
126571188*a**2
What is the derivative of -16262520*b**3*n - 3*b**3 + 803198*b**2 - 4*n wrt n?
-16262520*b**3 - 4
Find the third derivative of 1357*f*h**2*s**3 - 21*f*h**2*s**2 - 2*f*h**2*s - 81*f*h*s**2 + 175*h*s**3 - 139*h*s**2 wrt s.
8142*f*h**2 + 1050*h
Find the third derivative of -2*t**5 + 23960557*t**3 + 19193092*t**2 - 3 wrt t.
-120*t**2 + 143763342
What is the derivative of -16086238*x**4 + 150732371?
-64344952*x**3
What is the second derivative of 2109676*u**2*v**3 + u**2*v**2 + 6*u**2*v - 277*u*v + 198*v wrt v?
12658056*u**2*v + 2*u**2
Differentiate -112335009*r**3 + 24156170 with respect to r.
-337005027*r**2
What is the first derivative of -113318881*f**4 + 129814146 wrt f?
-453275524*f**3
What is the first derivative of 312658*i**2*l**3 + 451101142*i**2 + 819*l wrt l?
937974*i**2*l**2 + 819
Find the third derivative of 27036975*u**3 + 17995089*u**2.
162221850
Differentiate 12*i**2 - 2468815*i - 18792476 wrt i.
24*i - 2468815
What is the second derivative of 51916498*o**2 + 4221589*o - 1?
103832996
What is the second derivative of -18*o**5 + 98*o**4 - 554*o**2 + 263461524*o wrt o?
-360*o**3 + 1176*o**2 - 1108
What is the second derivative of -6*z**5 + 4031336*z**3 + 109663*z - 148?
-120*z**3 + 24188016*z
Differentiate -18*s*v**2 - 2*s*v - 196*s + 63*v**2 - 10*v + 189 with respect to v.
-36*s*v - 2*s + 126*v - 10
What is the third derivative of -495299*q**6 - 243*q**4 + 9*q**2 + q + 546748 wrt q?
-59435880*q**3 - 5832*q
Differentiate 14612998*y**3 - 14471827 wrt y.
43838994*y**2
What is the second derivative of 780*o**5*r - 117181*o**5 + 16*o*r + 1381784*o wrt o?
15600*o**3*r - 2343620*o**3
What is the third derivative of -d*p**2*x + 91715*d*p*x**3 + 27*d*p*x + 60*p**2*x**3 + 11*p**2*x - 151*p*x**2 wrt x?
550290*d*p + 360*p**2
What is the second derivative of 8029019*v**4 - 14*v + 23422?
96348228*v**2
Differentiate 4*d**3*o**2 - 2*d**3 - 2556756*d**2*o**3 - 65022*d**2 - 37 wrt o.
8*d**3*o - 7670268*d**2*o**2
What is the second derivative of -139876961*h**2 - 48476730*h?
-279753922
Differentiate -96738285*i + 28126002.
-96738285
What is the first derivative of 5*l*t + 214681632*l - 157807530*t wrt t?
5*l - 157807530
What is the second derivative of -c*v**3 + 1448153*c*v + 68*v**3 + 97184*v**2 - 5*v wrt v?
-6*c*v + 408*v + 194368
What is the first derivative of 980228*d**2*k**2 + 31*d*k**2 + 72907*k**2 - k - 57 wrt d?
1960456*d*k**2 + 31*k**2
What is the first derivative of 368715942*x + 375312438?
368715942
What is the first derivative of -15*x**4 - 472*x**3 - 22*x - 43936572 wrt x?
-60*x**3 - 1416*x**2 - 22
What is the first derivative of 520*k**3*m**3*p - 2*k**3*m**2 - 2*k**2*m - 252*m**3*p + 670519*m**3 wrt p?
520*k**3*m**3 - 252*m**3
What is the first derivative of -77*z**2 + 62925*z - 3851883?
-154*z + 62925
What is the second derivative of 3*p**3 - 1032659*p**2 - 73245212*p wrt p?
18*p - 2065318
Find the second derivative of -120*x**5 - 177447*x**3 - 2*x**2 - 14066522*x + 1.
-2400*x**3 - 1064682*x - 4
Find the first derivative of g**2*j - 85889*g**2 + 66*g*j**2 - 4*g*j + 21*j**2 - 1 wrt j.
g**2 + 132*g*j - 4*g + 42*j
What is the third derivative of -16449797*z**4 + 1074304*z**2 + 1 wrt z?
-394795128*z
Differentiate 81*b*j**2 - 9*b*j*t + 163*b*t + 26*b - 10*j*t - 6*j - 5*t wrt j.
162*b*j - 9*b*t - 10*t - 6
What is the first derivative of -111805511*h + 384800496?
-111805511
Find the third derivative of -1275119299*o**4 - 23*o**2 + 13*o - 101636 wrt o.
-30602863176*o
What is the derivative of 7*a**2*f*m**2 + 2*a**2*m**3 - 58*a**2*m**2 - 2202*a**2*m - 2*a**2 + 10*a*m - 5685311*f*m**3 wrt f?
7*a**2*m**2 - 5685311*m**3
What is the derivative of -459*c*p**2*x - 5088*c*x**2 + 14689*p**2*x**2 + 35*p**2*x - 2*p**2 wrt c?
-459*p**2*x - 5088*x**2
Find the third derivative of 11684412*d**6 + 7*d**2 - 728509*d.
1402129440*d**3
Find the second derivative of 2481550*c**4*t**2 + 3*c**3*t**3 + 304*c*t**2 + c*t + 10*c - 13*t**3 + t wrt c.
29778600*c**2*t**2 + 18*c*t**3
Differentiate -483270998*f**3 - 1120088268.
-1449812994*f**2
What is the third derivative of 2529*k**5 + k**4 - 16*k**3 + 3*k**2 + 522404*k wrt k?
151740*k**2 + 24*k - 96
What is the first derivative of 11191258*b**3 + 12*b**2 - 507295595?
33573774*b**2 + 24*b
What is the second derivative of 63*a**2*s**2 + 3*a**2*s + 701*a**2 + 108629*a*s**2 + 2*a*s + 3*a - 14*s**2 + 214*s - 2 wrt s?
126*a**2 + 217258*a - 28
What is the first derivative of -8*f*k + 642*f + 373451*k**2 - 3733 wrt k?
-8*f + 746902*k
Find the third derivative of -4194865*n**3 - 2*n**2 - 8403*n - 49 wrt n.
-25169190
Find the first derivative of 31518*b*l**3 + 511*b*l**2 - 73585194*l**3 wrt b.
31518*l**3 + 511*l**2
What is the derivative of 2*h**2*l + 27151*h**2 + 10*h*l + 24*h + 204159042*l wrt h?
4*h*l + 54302*h + 10*l + 24
What is the third derivative of -238*b**4 + 294235*b**3 + 132628600*b**2?
-5712*b + 1765410
Differentiate 472843926*c**2 - 343220611 with respect to c.
945687852*c
Differentiate 9*g**4*s**2 - 131060*g**4 + 3*s**2 - 5*s + 122908 wrt g.
36*g**3*s**2 - 524240*g**3
Differentiate -46021*m**3*n + 20*m**3 - 35*m**2 - 6*m*n + 4*m + 8 wit
|
{
"pile_set_name": "DM Mathematics"
}
|
9860?
9
What is the units digit of 1930906?
6
What is the tens digit of 3297338?
3
What is the hundred thousands digit of 1263428?
2
What is the ten thousands digit of 2478467?
7
What is the hundred thousands digit of 8416767?
4
What is the millions digit of 10046995?
0
What is the ten thousands digit of 294159?
9
What is the hundreds digit of 2320046?
0
What is the tens digit of 8362904?
0
What is the hundred thousands digit of 36757362?
7
What is the units digit of 2144581?
1
What is the units digit of 2471749?
9
What is the tens digit of 22040751?
5
What is the hundreds digit of 1371586?
5
What is the hundred thousands digit of 594300?
5
What is the units digit of 1245877?
7
What is the tens digit of 9828?
2
What is the ten thousands digit of 457399?
5
What is the units digit of 1202289?
9
What is the tens digit of 13287962?
6
What is the thousands digit of 250206?
0
What is the units digit of 15924453?
3
What is the thousands digit of 215144?
5
What is the units digit of 97567?
7
What is the thousands digit of 249504?
9
What is the thousands digit of 237034?
7
What is the millions digit of 3777934?
3
What is the units digit of 883734?
4
What is the ten thousands digit of 1421043?
2
What is the ten thousands digit of 112493?
1
What is the millions digit of 8148107?
8
What is the hundreds digit of 332697?
6
What is the thousands digit of 332182?
2
What is the hundreds digit of 82038?
0
What is the ten thousands digit of 25868334?
6
What is the hundred thousands digit of 1150467?
1
What is the units digit of 146537?
7
What is the units digit of 294992?
2
What is the millions digit of 4493993?
4
What is the hundreds digit of 2837593?
5
What is the hundreds digit of 130971?
9
What is the units digit of 4480952?
2
What is the ten thousands digit of 5450449?
5
What is the ten thousands digit of 189683?
8
What is the tens digit of 121417?
1
What is the hundred thousands digit of 5988415?
9
What is the units digit of 414078?
8
What is the ten thousands digit of 92008?
9
What is the hundred thousands digit of 379371?
3
What is the hundred thousands digit of 799704?
7
What is the millions digit of 3842661?
3
What is the thousands digit of 3343987?
3
What is the units digit of 76886?
6
What is the thousands digit of 372098?
2
What is the hundreds digit of 3565559?
5
What is the millions digit of 3833738?
3
What is the units digit of 2686949?
9
What is the ten thousands digit of 267430?
6
What is the hundreds digit of 212894?
8
What is the hundreds digit of 154195?
1
What is the thousands digit of 749034?
9
What is the ten thousands digit of 148560?
4
What is the hundred thousands digit of 20608353?
6
What is the tens digit of 901773?
7
What is the tens digit of 29775439?
3
What is the thousands digit of 780497?
0
What is the hundred thousands digit of 8318636?
3
What is the tens digit of 7382211?
1
What is the units digit of 12989474?
4
What is the units digit of 6988959?
9
What is the hundred thousands digit of 220516?
2
What is the hundreds digit of 38435?
4
What is the units digit of 278711?
1
What is the ten thousands digit of 12906284?
0
What is the units digit of 9449948?
8
What is the thousands digit of 2917366?
7
What is the thousands digit of 350333?
0
What is the hundreds digit of 3019847?
8
What is the units digit of 111581?
1
What is the tens digit of 139126?
2
What is the hundreds digit of 668253?
2
What is the hundreds digit of 576107?
1
What is the units digit of 4878993?
3
What is the hundred thousands digit of 5128165?
1
What is the hundred thousands digit of 2883485?
8
What is the hundred thousands digit of 148056?
1
What is the thousands digit of 179264?
9
What is the units digit of 3852377?
7
What is the ten thousands digit of 2919080?
1
What is the millions digit of 4629096?
4
What is the ten millions digit of 22314789?
2
What is the hundred thousands digit of 1319750?
3
What is the hundreds digit of 9403?
4
What is the units digit of 20366370?
0
What is the thousands digit of 7191913?
1
What is the millions digit of 3127758?
3
What is the ten thousands digit of 886352?
8
What is the units digit of 3996942?
2
What is the thousands digit of 11931539?
1
What is the hundred thousands digit of 3777423?
7
What is the hundred thousands digit of 1942453?
9
What is the hundred thousands digit of 739862?
7
What is the tens digit of 1121870?
7
What is the units digit of 8692841?
1
What is the millions digit of 42009272?
2
What is the tens digit of 1714908?
0
What is the ten thousands digit of 772397?
7
What is the hundred thousands digit of 2245877?
2
What is the thousands digit of 2747142?
7
What is the hundred thousands digit of 4232723?
2
What is the units digit of 774486?
6
What is the hundreds digit of 5432795?
7
What is the hundred thousands digit of 1395517?
3
What is the millions digit of 2108805?
2
What is the ten thousands digit of 1023994?
2
What is the hundred thousands digit of 2898443?
8
What is the units digit of 1516982?
2
What is the hundreds digit of 1993036?
0
What is the units digit of 4327294?
4
What is the thousands digit of 65072?
5
What is the units digit of 133304?
4
What is the tens digit of 17396?
9
What is the millions digit of 18081717?
8
What is the hundred thousands digit of 406033?
4
What is the hundred thousands digit of 3159161?
1
What is the hundred thousands digit of 191087?
1
What is the tens digit of 206454?
5
What is the units digit of 2919281?
1
What is the hundreds digit of 345390?
3
What is the tens digit of 310241?
4
What is the hundreds digit of 1857026?
0
What is the tens digit of 1150742?
4
What is the tens digit of 395984?
8
What is the tens digit of 1881157?
5
What is the units digit of 19567038?
8
What is the tens digit of 6162794?
9
What is the ten thousands digit of 220654?
2
What is the thousands digit of 518620?
8
What is the thousands digit of 537439?
7
What is the tens digit of 1627541?
4
What is the ten thousands digit of 172347?
7
What is the tens digit of 1745019?
1
What is the thousands digit of 510437?
0
What is the thousands digit of 645885?
5
What is the ten thousands digit of 1867308?
6
What is the units digit of 1778566?
6
What is the thousands digit of 35750419?
0
What is the hundreds digit of 926191?
1
What is the tens digit of 250951?
5
What is the units digit of 115603?
3
What is the ten thousands digit of 132717?
3
What is the units digit of 407868?
8
What is the ten thousands digit of 15661623?
6
What is the hundred thousands digit of 379814?
3
What is the units digit of 298309?
9
What is the thousands digit of 165980?
5
What is the units digit of 166394?
4
What is the tens digit of 377350?
5
What is the ten thousands digit of 1852002?
5
What is the thousands digit of 331444?
1
What is the hundred thousands digit of 546664?
5
What is the hundreds digit of 493629?
6
What is the ten millions digit of 13324959?
1
What is the thousands digit of 10067?
0
What is the thousands digit of 1352095?
2
What is the hundred thousands digit of 9647650?
6
What is the thousands digit of 8302849?
2
What is the ten thousands digit of 336244?
3
What is the thousands digit of 143893?
3
What is the millions digit of 1905127?
1
What is the ten thousands digit of 50852?
5
What is the hundreds digit of 1289823?
8
What is the thousands digit of 3591750?
1
What is the hundreds digit of 1741927?
9
What is the ten millions digit of 21110195?
2
What is the thousands digit of 830234?
0
What is the ten thousands digit of 208280?
0
What is the tens digit of 704490?
9
What is the millions digit of 9237519?
9
What is the millions digit of 7311671?
7
What is the units digit of 1091253?
3
What is the hundred thousands digit of 313858?
3
What is the ten thousands digit of 254632?
5
What is the thousands digit of 5546075?
6
What is the ten thousands digit of 131178?
3
What is the tens digit of 3266151?
5
What is the hundreds digit of 1460988?
9
What is the tens digit of 6855326?
2
What is the tens digit of 260338?
3
What is the thousands digit of 190773?
0
What is the hundreds digit of 1961319?
3
What is the hundreds digit of 2214883?
8
What is the millions digit of 3543637?
3
What is the units digit of 12809404?
4
What is the hundred thousands digit of 1261204?
2
What is the millions digit of 1188224?
1
|
{
"pile_set_name": "DM Mathematics"
}
|
-5*o - 1. Let i = -3 - h. Solve 5 = -i*t + 5*u, 5*t + 0 = 3*u - 1 for t.
1
Suppose 4*f - 5*y = -29, 3*f - 2*f - y = -6. Let a = f + 5. Solve -10 = 2*x - 3*m - m, -3*x + 5 = a*m for x.
-1
Suppose 6 - 4 = d. Suppose -r = -5*j - 18 - 10, 0 = -5*j - 25. Solve d*q + 7 = r*k, 0*k + 5*k - 25 = 0 for q.
4
Let q = 21 - -16. Let v = q - 21. Solve 0 = 4*w + 4*f + v, 2*w - 7*w = -4*f + 29 for w.
-5
Let s(g) = 15 - 12*g + 9*g**2 - g**2 + 4*g**2 - g**3. Let k be s(11). Solve -3*c + 2*w = k*w + 16, 2 = c - 3*w for c.
-4
Let p = 7 - 7. Let t(w) = 4*w**2 + w - 5*w + 0*w**3 + 3 - w**3. Let v be t(3). Solve p = -5*a - v*i + 3*i + 10, -a + i + 2 = 0 for a.
2
Suppose b + 7 + 5 = 4*u, b - 6 = -2*u. Suppose 1 = z - 4. Solve -z*f = -2*d + d + 3, u*d = -2*f - 8 for f.
-1
Let m be (-1 - 0) + (-14 - -18). Solve -4*x + 14 - 33 = n, 4*x - m*n = -7 for x.
-4
Suppose i + 18 = 4*i. Solve -2*m = 5*y - 6, y - i = -2*m - 0*m for m.
3
Let t(z) = -4*z - 20. Let s be t(-6). Suppose m = 4*k + 4, -m + 3 = -2*m - 3*k. Let y be 2/s*m/(-3). Solve y = 2*v - 3*i - 4, -i = -2*v - 3*i - 6 for v.
-1
Let y = 63 + -44. Solve a - y = 4*p - 5, 0 = 5*a + 10 for p.
-4
Suppose -2*q + 23 - 5 = 0. Solve -3*l - v = -q, 0*l - 2*l - 3*v - 1 = 0 for l.
4
Let q be 7/28 - 2/8. Suppose -6*n = -9*n + 12. Solve 2*y + 3*o + 10 = q, -n*y + 3*o = -y - 15 for y.
1
Let f = -52 - -72. Solve -f = -4*b + 2*x, 2*b - x - 2 = -4*x for b.
4
Suppose -3*p - 6 = -5*g - 2*p, g - p + 2 = 0. Solve 3*v + g = 3*a - 2*a, 4 = -a for v.
-2
Let c(b) = -b + 13. Let x be c(0). Suppose w - 5*t + t = -x, w = -2*t + 11. Solve -10 = -5*p + w*i, 0 = 3*p - i - 4 - 2 for p.
2
Let c be (-2)/(-6)*(15 - -6). Suppose -3*o - 4*i = -3, o - c = 3*i + 7. Solve 0 = -o*f - u + 12, u = 3*f - 2*f for f.
2
Let h be 16/20*(-5)/2 + 7. Solve 3*u = 2*v + v - 3, -5*u - h*v = -45 for u.
4
Let f = -10 - -18. Let i be 3 + (-4)/(f/(-2)). Solve -3 = i*t + h, -3*t - h = -3 + 4 for t.
-2
Suppose 12*q - 14*q = -8. Solve -4 + 33 = -3*u + 5*z, 13 = u + q*z for u.
-3
Let d be (-10 - 2)*(-4)/12. Let y be 0 + 1 + 2 + 2. Let l be (8/(-10))/((-2)/y). Solve -z + 4*k = -d*z - 14, 5*k = 4*z - l for z.
-2
Let f(h) = 2*h**2 - 2*h - 1. Let v = 10 - 7. Let q be f(v). Solve -2*a + 0*a + 19 = -5*m, -3*a = -4*m - q for m.
-5
Let s be 0 + -1 + (-4 - 6). Let v be s/(-3) + (-6)/(-18). Solve 5*y - v*i - 3 = 3, -3*y = 5*i - 11 for y.
2
Let l(v) = -2*v - 9. Let m(y) = -5*y - 19. Let r(j) = 7*l(j) - 3*m(j). Let b be r(8). Solve -3*t - 2*p - 12 = -4*p, 0 = b*t + 4*p + 8 for t.
-4
Let k(b) = 2*b**2 - 2*b - 11. Let w be k(4). Let v be 2/8 + (-2)/8. Solve 3*h + 4*g + 0*g + w = v, -3*h + 2*g + 11 = 0 for h.
1
Suppose 3*j - 16 = -0*s - s, 2*s + 12 = 5*j. Solve -3*v = -v + x - 5, 4*v + j*x = 20 for v.
0
Suppose -5*l + 48 = -62. Suppose j + j - l = -5*z, 3*j - 15 = -3*z. Solve -3*r + 9 = k, 5*r - 3*r - j = k for r.
2
Let m(b) = b**2 - 8*b - 13. Let a be m(10). Let o = a + -5. Solve v - 4*v - 28 = 5*w, 0 = 5*w - o*v + 23 for w.
-5
Let m(g) = g + 12. Let d be m(-9). Suppose -d*s - 23 - 32 = 2*q, 3*s - 2*q = -71. Let l be (-6)/s - (-26)/7. Solve 11 = -l*n - c, 5 = 4*c + 1 for n.
-3
Let h = -6 - -6. Suppose -2*b + 6 = -0*b - 2*v, h = b + 2*v + 6. Solve 5*z + b*z - 15 = -3*w, -4*w + 15 = 5*z for w.
0
Let i = 7 + -4. Let o = 0 - i. Let f be o*15/(3*-1). Solve -3*r = b + 3, -5*r + 2*b + f = -3*b for r.
0
Let n = -29 + 34. Suppose -3*t + 5*m = -17, 2*t + m - n = -2*m. Solve -3*k = 4*u - 1, t*k + 12 = -6*u + 4*u for u.
4
Suppose -3*v - 5*b = -7, -3*v + 3*b + 7 = -2*v. Let d = 1 + 2. Solve 2*m - 5*i = -0*m - 6, -d*m + i = -v for m.
2
Let g(s) = -s**3 + 9*s**2 + s - 10. Let i be g(9). Let w be i + 5 - (-2)/(-1). Solve -2*k - h + 11 = 0, 3*k = k - w*h + 14 for k.
4
Let r be 2/(-7) - 4/(-14). Let a(w) = -w**3 - w**2 + 8. Let m be a(0). Let x = -4 + m. Solve x*f - 2*u - 14 = r, 5*u - u + 16 = 5*f for f.
4
Suppose i - 2*l + 5 - 14 = 0, -4*i + 4*l + 24 = 0. Solve m = o - i*m - 3, o = -m + 3 for o.
3
Let t(f) = -6*f - 3. Let a be t(-4). Solve -6 = 3*n + n - 2*g, -a = 4*n + 3*g for n.
-3
Let h be 1/(-3)*0 + 3. Suppose -a - a + 18 = 0. Suppose h*y - 5*y + a = b, y = b. Solve z + 18 = c - b*z, -c = -5*z - 22 for c.
2
Suppose -5*x - 4*v + 0*v - 20 = 0, -2*x - 2*v = 10. Solve 3 = -j - x*j - 2*w, -5*j - w + 3 = 0 for j.
1
Suppose -4 = -m - 0. Suppose m*r - 2*w = 164, 0*r = -3*r + 3*w + 126. Suppose -3*j - 13 = -r. Solve -q + 2*b - j = 4*b, -4*q - b - 22 = 0 for q.
-5
Suppose 17 - 56 = -3*r. Let h = r - 13. Solve 5*b + 0*b + 5*o + 35 = h, -o = -4*b - 13 for b.
-4
Let m be 2*2/((-4)/3). Let k = -1 - m. Suppose 3*c + o = 5*c - 10, 3*c + o = 15. Solve c*a = 0, -a - k*a - 20 = 5*z for z.
-4
Let k(q) = -q**3 - q**2 + q + 2. Let y be k(-2). Let p(r) = -4*r**3 - 2*r**2 - 2*r - 1. Let v be p(-1). Solve -y*m = v*g + 21, 0*m - 15 = 5*m for g.
-3
Suppose -4*i - 19 = -51. Solve 6*j - 2*j - 2*y = -i, -2*j = y for j.
-1
Let n = 12 - 7. Suppose 0 = 4*z - 4, 0 = -4*c - c + n*z + 55. Suppose 2*h = -2*h + c. Solve -h*m - y = 11, -3*m - 7*y + 5 = -2*y for m.
-5
Suppose 4*u = -2*u + 30. Solve 5*x = -0*w + 2*w + 10, x = w + u for w.
-5
Let l = -1 + 4. Solve -4*a = -4*c - l*a - 16, 4 = -c + a for c.
-4
Let p(y) = y - 3. Let v be p(7). Let s = 6 - 1. Suppose -s*h + 0*h = -15. Solve 0 = -4*i, -v*i - h = -3*q + 3 for q.
2
Suppose -5*y = 2*z - 14, -6*y - 2*z = -3*y - 6. Let p(l) = -l**2 + 4*l. Let m be p(y). Suppose 2*u = -m*u. Solve 2*w + u*o - 3 = -o, 0 = 5*o - 15 for w.
0
Let s = 8 + -6. Suppose o - 5*c = -10, -5 - 1 = -s*c. Suppose -2*x + 0*x + 31 = 5*t, 4*x - o*t + 13 = 0. Solve x*v = -4*h - 23, 5*v - h = 3*h - 17 for v.
-5
Suppose -2*n = 2*n - 8. Suppose -n*o + 85 = 3*o. Solve -f = f - 10, 3*v = -f + o for v.
4
Let d(o) = o**3 - 13*o**2 + 11*o + 15. Let m be d(12). Solve m*r = -2*r + 4*t - 17, 3*r + 11 = 2*t for r.
-5
Let h = -6 - -6. Solve -3*k - 2*v + 2 + 1 = h, -7 = -2*k - 3*v for k.
-1
Let v be 2/2*(4 - -5). Solve 0 = -g - n + 6*n + 15, 3*n - v = -3*g for g.
5
Let a(w) = -w - 2. Let c be a(-4). Suppose -c*m = 3*m - 20. Solve 4*s = m, 6*s + 4 = -2*t + 2*s for t.
-4
Let h(b) = 7*b - 3*b**3 + 4*b**2 - 2 + 2*b**3 - 2. Let d be h(5). Let m = d - 1. Solve 5*r = -m*z - 0*z + 40, 0 = 5*z - 15 for r.
5
Suppose -2*z - 3*z = 3*m - 26, -2*m + 22 = 4*z. Suppose 5*d = -0*d + 5. Solve r = -3*f - z, -4*f + 7*f = r + d for r.
-4
Suppose 0 = -2*i - u + 4*u + 17, 5*u = -15. Solve a = -4, -g - a = -i*g - 5 for g.
-3
Let c(t) = -t + t**2 - t**2 - t**3. Let p be c(0). Let f be 12 - -1*(1 - p). Solve -2*v + 2*k - 16 = 0, 7 + f = -4*v + k for v.
-4
Let r(n) = n**3 - 5*n**2 + 4*n + 2. Let l be r(4). Suppose 0 = l*k + 3*k - 20. Solve 3*p = 4*p, 0 = -y - p + k for y.
4
Suppose 5*o - 16 = 9. Suppose 9*c - o*n = 4*c + 40, 3*n = -c - 12. Suppose -4*h - 2*q + 22 = 0, 7 = 3*h - q - 2. Solve -h*b + 2 = 2*a, b = c*b - a + 1 for b.
0
Suppose 18 = 4*y - 2, -5*a = 3*y - 45. Suppose -23 = -5*h - 4*s, -4 + a = s. Solve -2*b - 10 = -5*r, 0 = -5*r + h*b + b + 20 for r.
0
Suppose -4*k + 33 = 17. Solve -3*n = -2*l + 20, 3*n = n - l - k for n.
-4
Let f(z) = z**2 - 2*z - 5. Suppose 5*j + 4*n = 20, j = 3*j + 2*n - 8. Let a be f(j). Solve 0 = a*t - 0*t - g - 11, -2*t - g = -9 for t.
4
Let z = 14 + -9. Suppose z*m = -5*h + 25, 4*m + 0*h - 20 = 5*h. Solve -15 = -m*i, -2*t - 8 = -3*i - 1 for t.
1
Suppose 3*p - y = p - 2, -5*y = -5*p. Let s be p/(-3) - (-4)/3. Solve -s*l - 5 = -k - 1, 3*k - 4*l = 8 for k.
0
Suppose n + 24 = -3*n + 2*l, 2*l + 16 = -4*n. Let f = 0 - n. Solve 0 = 5*a + 5*c - 5, -4*c + f = 2*a + c for a.
0
Suppose 17 = 5*v + g, 0 = v + g + g + 2. Let j(r) = 7*r + 11. Let i be j(-1). Solve 4*m = -3*d - 2, -i*d + v*m = -0*d + 12 for d.
-2
Suppose 0*n - 4 = 4*z + n, 5*n + 20 = -2*z. Suppose z*r + r - 5 = 0. Suppose j + 0*j - 4 = 0. Solve -r*t - 11 = -j*y, -4*t - 9 = -t for y.
-1
Let u be (2 + -2)/(-3) - -3. Suppose t = 4*t - u. Let c be (-13)/(-4) + 1/(-4). Solve -t = p, -c*p - 2 = x - 0*x for x.
1
Suppose 4*c + 0*o = 5*o - 25, -25 = -c - 5*o. Suppose -3*r + 24 = -0*b + 3*b, -2*r - 4 = -2*b. Solve c*f - f + b = j, 4*f - 3*j - 6 = 0 for f.
3
Suppose -6 = x - 4*x. Let k be (x/4)/((-1)/(-10)). Solve 4*f = -4*b - 28, 3*b + 1 = 2*f - k for f.
-3
Let v be (-4)/(-18) - 129/(-27). Suppose 5*b - v = 5. Suppose 0 = 2*w + 3*w. Solve 2*d + p + 3 = w, d - 2*p - 3 = b*d for d.
-1
Let
|
{
"pile_set_name": "DM Mathematics"
}
|
e the prime factors of 41*(5 - 24/z)?
41
Let h = -6616 - -24304. List the prime factors of h.
2, 3, 11, 67
Let p(l) = -l**3 - 10*l**2 - 6*l + 11. Let a = 5 + -17. List the prime factors of p(a).
7, 53
Let t = -131 + 129. List the prime factors of t + (754/(-1))/(-2).
3, 5
Let p(t) = -t**3 + 8*t**2 - 7*t + 2. Let q be p(7). Suppose 7*r - q = 33. Suppose 0*o = -r*o + 340. What are the prime factors of o?
2, 17
Let d be (-10)/(-4)*(-392)/(-140). What are the prime factors of 36/(-6) + d - -243?
2, 61
Let r be -2 + 1 - -2 - 5540/20. List the prime factors of 5*(r/(-10))/3.
2, 23
Let v = -87 - -87. Suppose g = k - v*g - 24, 0 = -5*g - 20. List the prime factors of 8*1*1/(k/285).
2, 3, 19
Let d(l) = 3*l**2 + 3*l + 5. Let w be (-42)/(-11) - (-4)/22. Let b be (-19 - -23)/(w/5). List the prime factors of d(b).
5, 19
Let c(g) = -g**2 - 30*g + 159. Let u be c(-30). Let f = 49 + u. List the prime factors of f.
2, 13
List the prime factors of ((-1)/11)/(320/(-15097280)).
4289
Suppose 4*d - 2 = -2*r, 16 = 2*d - r + 9. List the prime factors of d*-115*(-20)/10.
2, 5, 23
List the prime factors of 440/930*91068 + 2/62*2.
2, 3, 43, 167
Suppose 186*w - 5*d - 13063 = 183*w, 5*d - 17359 = -4*w. What are the prime factors of w?
2, 41, 53
Let x(o) = -548*o - 143. List the prime factors of x(-3).
19, 79
Suppose -2*o + 1144 = 5392. Let z = 3852 + o. List the prime factors of z.
2, 3
What are the prime factors of (-168)/(-42) + 1 + -2 + 13674?
3, 47, 97
Let p be 2*415*(1 - 0). Suppose g = 2*k - 25, -4*k - 1261 + 1281 = 4*g. Suppose 0*o - p = -k*o. List the prime factors of o.
83
What are the prime factors of 334416/28 - (-56)/98?
2, 1493
Let u(y) = y**2 - 39*y - 40. Let f be u(40). Suppose f = -h - 4, -3*i + h + h = -932. What are the prime factors of i?
2, 7, 11
Let q = 8349 - -7067. What are the prime factors of q?
2, 41, 47
Let d be -33 + 8 + (-3)/((-3)/4). Let g be (35/d)/(1/15). Let v = 161 - g. What are the prime factors of v?
2, 3, 31
Let j = 35835 - 28853. List the prime factors of j.
2, 3491
Let a(l) = -l + 12. Suppose -5*y + 3*h - 18 = -62, 5*y = -3*h + 26. Let r be a(y). What are the prime factors of (r + -2)*(-2 + (-97)/(-3))?
7, 13
Suppose 27*o - 29*o + 5*s + 29579 = 0, -3*o = -5*s - 44381. List the prime factors of o.
2, 3, 2467
Suppose -3*w = -6, -86642 = -4*k - 2*w + w. List the prime factors of k.
2, 3, 5, 19
Suppose 699 = -2*u + u. Let n = -318 - u. List the prime factors of n.
3, 127
Let u be (7/1)/(-14)*14992. List the prime factors of (u/(-6))/((-96)/(-72)).
937
Let t = 267 - 263. Suppose -4*k - h = -7681, -k - 5*h + 9620 = t*k. List the prime factors of k.
19, 101
Let r be -3*95/30*2*21. Let t = 22 - r. List the prime factors of t.
421
Suppose -5*b + 11837 = 568*d - 566*d, -3*b = 5*d - 7106. List the prime factors of b.
3, 263
Let p(d) = 11*d**2 + 9*d. Let k be p(-3). Let z = 180 - k. Let t = -71 + z. List the prime factors of t.
37
Suppose 7*l = l - 114. Let b(k) = -k**2 - 19*k + 6. Let d be b(l). Suppose 165 = -3*p + d*p. List the prime factors of p.
5, 11
Let n = -21 + 26. Suppose -5*w - a + 180 = 0, 3*w + 2*a = 4*w - 47. Suppose 443 + w = n*m. What are the prime factors of m?
2, 3
Suppose -13*t + 30594 = -201222. What are the prime factors of t?
2, 3, 743
Suppose -z = -3*y + 1, -3*y - z = -0*y + 1. Let x be 43 - (y + 2 - (5 - 6)). Suppose 104 = 2*j + x. List the prime factors of j.
2
Let w be 2 + 5 - (-7 + 7). Suppose w*l = 3*l - 520. What are the prime factors of 2/3 + 77/(-21) - l?
127
Suppose 16*v - 11*v = 1890. Let f = 468 - v. List the prime factors of f.
2, 3, 5
Let l = 13279 + -5206. List the prime factors of l.
3, 13, 23
Suppose 40*v + 0*v = 377143 + 158617. What are the prime factors of v?
2, 37, 181
Suppose -2*n + 271696 = 5*q, 56*n - 52*n = q - 54304. What are the prime factors of q?
2, 3, 283
Let j(b) = b**2 - 26*b + 2812. List the prime factors of j(77).
23, 293
Let u be (3 - -1)*(-95)/5. Let v = u + 76. Suppose -4*j + 5*k + 908 = v, 4*j + 6*k - 7*k = 908. What are the prime factors of j?
227
Let t be 1/(35/(-49))*(1 + -11). Suppose 29*d - 50826 = -t*d. What are the prime factors of d?
2, 3, 197
Let v(o) = -o**2 - 87*o + 188. What are the prime factors of v(-57)?
2, 13, 73
Suppose -1732 + 34947 = 3*l - 4*m, -m + 33205 = 3*l. List the prime factors of l.
11069
Let j(a) = 1032*a - 359. What are the prime factors of j(6)?
19, 307
Suppose -5*k = 5*d - 365, 93 = d + 3*k + 28. Let v = 254 - d. List the prime factors of v.
3, 59
Suppose -44 = 5*g - g. Let d(v) = -138*v**3 + 139*v**3 + v**2 + 0*v**2 + 10*v**2 - 6 - 6*v. What are the prime factors of d(g)?
2, 3, 5
Suppose 959*h = 992*h - 173943. What are the prime factors of h?
3, 7, 251
Let r be (-1288)/42*(-9)/6. List the prime factors of -39*r/18*-3*1.
13, 23
Let u(d) = d**3 + 12*d**2 - 12*d + 10. Let c be u(-13). Let p be 1*-1 - (60/c)/4. What are the prime factors of 153 - p/4 - 2?
2, 3, 5
Let d be -5 - (-19 + -1 + (-3 - -3)). Suppose -35100 = -21*o - d*o. List the prime factors of o.
3, 5, 13
Let x = -6641 - -9563. Let a = x - 1494. What are the prime factors of a?
2, 3, 7, 17
Let z(f) = -f**2 - 7 + 0 + 3 + 12*f**3 - 7*f**3 + 2*f. Let w be z(4). Suppose -8*n - w = -12*n. What are the prime factors of n?
7, 11
Let i = -666 + 674. Suppose i*c - 3320 = 3264. List the prime factors of c.
823
Let n(l) = -59*l - 55. Let h(g) = -g - 2. Let s(w) = 6*h(w) - n(w). Let m be s(9). Suppose 4*q = -4*q + m. List the prime factors of q.
5, 13
Let b(d) = -28 + 13 + 10 - 49*d. List the prime factors of b(-3).
2, 71
Let d(h) = 18*h - 14. Let f = -377 - -409. List the prime factors of d(f).
2, 281
Let s(f) = 498*f + 5. Let j be s(1). Let d = 411 + j. What are the prime factors of d?
2, 457
Suppose 23*b - 15*b = 288. List the prime factors of 7155/33 + (b/(-99))/(-2).
7, 31
Let w = -1483 - -8264. What are the prime factors of w?
6781
Let y(h) = -h**3 + h**2 - 10596. Let o be y(0). What are the prime factors of (o/18)/2*12/(-2)?
2, 883
Suppose 3361*t - 3324*t = 402375. What are the prime factors of t?
3, 5, 29
Let f(w) = -5*w + 3. Let z be f(-5). Suppose -z*n = -34*n + 156. What are the prime factors of n?
2, 13
Let h(w) = w**2 + 44*w - 268. List the prime factors of h(21).
1097
Suppose -23*j + 21636 = -14*j. What are the prime factors of j/30 + 158/(-1185)?
2, 5
Suppose 0 = 1385*z - 1368*z - 233682. What are the prime factors of z?
2, 3, 29, 79
Let n(o) = 79*o**3 + o**2 - 3*o + 2. Let t be n(1). Suppose 2*p = p + t. Suppose p = 3*v - 191. What are the prime factors of v?
2, 3, 5
Suppose b = 0, b - 5*b + 750 = -3*s. List the prime factors of ((-3)/(2/(s/3)))/1.
5
Let b(q) = -2*q**2 - 64*q + 72. Let h be b(-33). List the prime factors of 8/h*-1*3 - -241.
3, 79
Suppose 0 = -m + t + 7, 3 = m - 3*t - 10. Suppose 335 = m*w - k, w - 5*k + 6*k - 85 = 0. List the prime factors of w.
2, 3, 7
Suppose -4*k = -6*k - 2*z + 4, -3*k = 4*z - 10. What are the prime factors of (-3)/(1358/(-676) - k)?
2, 13
Let v = -1980 + 35884. List the prime factors of v.
2, 13, 163
Suppose -7*v - 16 = -15*v. Suppose 0 = -4*h + v*a + 1500 + 382, 4*h + a - 1879 = 0. List the prime factors of h.
2, 5, 47
Let u be -9*(-88)/(-2 + -2). Let s = u - -371. Let i = s - 98. List the prime factors of i.
3, 5
Let h be (-7024)/32*(-4 - -2). Suppose 8*v + h = 4439. What are the prime factors of v?
2, 5
What are the prime factors of (-1001288)/(-11) - (612/(-187))/(-18)?
2, 3, 13, 389
Let u = -1921 - -3749. What are the prime factors of u?
2, 457
Let z be ((-54)/(-8))/((4/(-2))/(-40)). Suppose -7*t + 2*t - 3*n = -119, -5*n = -5*t + z. List the prime factors of t.
5
Let n(p) = -p**3 - 4*p**2 + 12*p - 27. Let w be n(-7). Suppose -13*d - 989 = -w*d. List the prime factors of d.
43
Suppose -y + 3 + 0 = 0. Suppose -81 = 218*b - 219*b. Suppose y*j - b - 69 = 0. List the prime factors of j.
2, 5
Suppose 2*b - 1200 = 842. Suppose -b = -3*k + 323. What are the prime factors of k?
2, 7
Let k = -74 - -85. Let b(j) = -j**3 + 12*j**2 + 17*j - 61. List the prime factors of b(k).
13, 19
Let h(n) = -3*n - 25. Let y be h(-10). Let s(i) = i**3 - 4*i**2 + 5*i - 6. Let o be s(y). Let k = o - 8. What are the prime factors of k?
2, 3
Suppose 6*b = 3*b. Suppose -4*l - 2*q = 2*q + 32, b = -3*l + 4*q - 10. List the prime factors of (l + 7)/(1/89).
89
Let p(w) = 6*w**2 - 4
|
{
"pile_set_name": "DM Mathematics"
}
|
- 5/2*h**4 + 0.
-h**2*(h + 1)*(5*h - 1)/2
Suppose -21*d + 70522 = 70459. Let 8/15 + 2/3*c**2 - 2/15*c**d - 16/15*c = 0. What is c?
1, 2
Let l = 8 + -3. Suppose 8*f = 3*f + l. Let -3*u**2 - u**2 - f + 5*u**2 - 2*u**2 - 2*u = 0. What is u?
-1
Let y be (3 - 86/6)/((-2)/(-18)). Let j = y - -104. Factor -1/2*f + 5/2*f**3 - 2*f**j + 0.
f*(f - 1)*(5*f + 1)/2
Let 9/2*a - 1/2*a**3 + 0 + 4*a**2 = 0. What is a?
-1, 0, 9
Let s(h) = 2 + 0 - 2 + 4*h**2 + h. Let k be s(-1). Factor -3*o**k - 9*o**3 + 12*o**2 + 4*o**4 - 15*o + 11*o.
4*o*(o - 1)**3
Let d(h) be the second derivative of -h**6/360 + h**5/60 + h**4/18 + 17*h**2/2 + 12*h. Let s(j) be the first derivative of d(j). Factor s(x).
-x*(x - 4)*(x + 1)/3
Let p(b) be the third derivative of 3*b**6/280 + 29*b**5/140 + 17*b**4/56 - 9*b**3/14 - 272*b**2. Factor p(l).
3*(l + 1)*(l + 9)*(3*l - 1)/7
Let j(y) be the first derivative of -16/5*y + 25 + 2/25*y**5 + 1/2*y**4 - 4/5*y**2 + 4/5*y**3. Determine u, given that j(u) = 0.
-2, 1
Let k(b) be the first derivative of 1/4*b**6 + 0*b**3 - 3/8*b**4 + 0*b**2 + 0*b**5 - 30 + 0*b. Factor k(o).
3*o**3*(o - 1)*(o + 1)/2
Factor 3/7*c**2 - 93/7*c + 0.
3*c*(c - 31)/7
Suppose -5*b = -0*b + 10. Let c be (-199)/b + -2 + (-7 - -4). Find u such that -3*u - 15*u**2 + 0 + 9/4*u**3 + c*u**4 + 405/4*u**5 = 0.
-2/3, -1/3, 0, 2/5
Let j(d) be the third derivative of d**8/560 - 3*d**7/56 + 5*d**6/8 - 25*d**5/8 + 3*d**3 + 21*d**2. Let g(c) be the first derivative of j(c). Factor g(i).
3*i*(i - 5)**3
Suppose -15*x - 12 = -17*x - 3*l, 3*l = 4*x - 6. Factor -8/3*u + 2/3 + 8/3*u**x - 2/3*u**2.
2*(u - 1)*(u + 1)*(4*u - 1)/3
Let j(l) be the first derivative of -l**6/1200 - 7*l**5/600 + l**4/48 + 5*l**3 + 27. Let m(h) be the third derivative of j(h). Let m(a) = 0. What is a?
-5, 1/3
Let o(a) be the third derivative of -a**8/168 - 9*a**7/70 - 7*a**6/10 + 49*a**5/60 - 76*a**2. Factor o(x).
-x**2*(x + 7)**2*(2*x - 1)
Let g(i) = i**4 - i**3 - 2*i**2 + 1. Let w(x) = -6*x**5 - 6*x**4 + 14*x**3 + 10*x**2 - 4*x - 4. Let r(p) = 4*g(p) + w(p). Find f such that r(f) = 0.
-1, 0, 2/3, 1
Let f be 4 - 20/5 - 2*(-4)/16. Factor 1/2 + h**3 - 3/4*h - 1/4*h**5 - f*h**2 + 0*h**4.
-(h - 1)**3*(h + 1)*(h + 2)/4
Suppose -73*n - 29*n + 400 = -22*n. Find r such that 9/5*r**4 + 0*r + 0*r**2 - 3/5*r**3 - 6/5*r**n + 0 = 0.
0, 1/2, 1
Let 1/3*p**4 - 2/9*p**3 + 1/9*p + 1/9*p**5 - 2/3*p**2 + 1/3 = 0. What is p?
-3, -1, 1
Let t be 15/3 - (-1)/(-6)*28. Let r(j) be the first derivative of -1/2*j**2 + 0*j - 2 + t*j**3. Determine z, given that r(z) = 0.
0, 1
Let i = -143110/10089 - -889/59. Let p = 21/19 - i. Factor -p - 2*q**2 + 4/3*q.
-2*(3*q - 1)**2/9
Let p(o) = -13*o**2 - 24 - 42*o + 11*o - o. Let d(n) = -30*n + 8*n**2 + n**2 + 46*n + 12 - 2*n**2. Let b(q) = 5*d(q) + 3*p(q). Factor b(x).
-4*(x + 1)*(x + 3)
Let w(b) be the first derivative of -b**8/420 + b**7/84 - b**6/45 + b**5/60 + 4*b**3 - 14. Let l(v) be the third derivative of w(v). Let l(o) = 0. Calculate o.
0, 1/2, 1
Suppose 2*g - 2 = 3*g + l, 16 = -4*l. Factor -6*m**g + 1606 + 4*m**3 - 1590 - 6*m**2.
4*(m - 2)**2*(m + 1)
Let d(v) = -v**3 + 5*v**2 - 5*v + 4. Let s be d(4). Factor 5 + s - 12*a - 12*a**3 + 18*a**2 + 5*a**4 - 2*a**4 - 2.
3*(a - 1)**4
Let i = -113/85 + 679/255. Let -i*t**2 - 56/3*t - 196/3 = 0. Calculate t.
-7
Let v be (0 + 6)*20/24. Let m(c) be the first derivative of 0*c - 6 + 2/55*c**v + 3/22*c**4 + 0*c**2 + 4/33*c**3. Factor m(r).
2*r**2*(r + 1)*(r + 2)/11
Let n = 67 - 52. Let a be 2*((-1)/n)/(2/(-6)). Let -a + 0*f + 2/5*f**2 = 0. Calculate f.
-1, 1
Suppose j - 16 = -2*k - 8, k - 1 = j. Let o(z) be the third derivative of 1/8*z**4 + 1/480*z**6 + 0*z - 1/3*z**3 - 4*z**j + 0 - 1/40*z**5. Factor o(d).
(d - 2)**3/4
Let 3*y - 28 - 23*y - 4*y + 4*y**2 = 0. What is y?
-1, 7
Let p(b) be the third derivative of -b**5/60 + 18*b**2. Let q(t) = -4*t**3 + 6*t**2. Let v(j) = 2*p(j) + q(j). Factor v(f).
-4*f**2*(f - 1)
Let f(r) = r**2 + 7*r. Let y be f(-8). Suppose 3*m - y = -2*m + 4*s, m - 4*s = -8. Factor 0 - 4/9*t - 8/9*t**3 + 14/9*t**2 - 8/9*t**m.
-2*t*(t + 2)*(2*t - 1)**2/9
Let h(o) be the first derivative of o**7/840 + o**6/90 - o**5/40 - 3*o**4/4 + 4*o**3 + 4. Let t(c) be the third derivative of h(c). Find l, given that t(l) = 0.
-3, 2
Let v = -18685/21 - -890. Let g = 29/63 - v. Factor 4/9*p + 2/9 + g*p**2.
2*(p + 1)**2/9
Let p(q) be the first derivative of -2*q**3/3 - 5*q**2 + 208*q - 545. Factor p(b).
-2*(b - 8)*(b + 13)
Let i = -7 - -11. Suppose -p + 12 = -5*p, 0 = -i*t - 3*p + 7. Determine z, given that -1/4*z**t + 1/2*z**3 - 1/4*z**5 - 1/4*z + 1/2*z**2 - 1/4 = 0.
-1, 1
Let -10*x**4 - 408/13*x - 662/13*x**2 - 14/13*x**5 - 34*x**3 - 72/13 = 0. What is x?
-3, -2, -1, -2/7
Let q = 7 + -52. Let n = 45 + q. Suppose -1/2*g**2 + n - 1/2*g = 0. What is g?
-1, 0
Suppose 0 = 6*i - 16*i - 20. Let m be (-9)/(-15) + (68/90)/i. Factor 4/9*p**3 + 2/9*p**5 + m - 2/3*p**4 - 2/3*p + 4/9*p**2.
2*(p - 1)**4*(p + 1)/9
Let x = 2140 - 10697/5. Factor -12/5 + x*w**3 - 3/5*w + 12/5*w**2.
3*(w - 1)*(w + 1)*(w + 4)/5
Suppose 190*z - 191*z = -14. Suppose 2*q = -2*l + z, -5*l = -4*q + 2 - 1. Let -1/6*k**5 - 8/3*k - 2/3 - 19/6*k**3 - 7/6*k**q - 25/6*k**2 = 0. Calculate k.
-2, -1
Let j(l) = -4*l**3 + 108*l**2 - l + 31. Let t be j(27). Let f(p) be the third derivative of 0*p - t*p**2 + 5/3*p**4 + 4/3*p**3 + 5/6*p**5 + 0. Factor f(n).
2*(5*n + 2)**2
Let k = -3316 - -3319. Let f be (3 + 4)*(-3)/(-4). Suppose 0*r**2 + 15/4*r**4 + f*r**5 + 0*r + 0 - 3/2*r**k = 0. What is r?
-1, 0, 2/7
Let f(w) be the first derivative of 48*w**3 + 39*w**2 + 3*w + 351. Determine q, given that f(q) = 0.
-1/2, -1/24
Let d(o) be the first derivative of -3*o**4/4 - o**3 + 3*o**2 - 39. Solve d(t) = 0 for t.
-2, 0, 1
Let q be (-264)/(-110)*10/3. Let w be (-69)/92*q/(-3). Factor -3/2 - 3*l**w - 15/4*l - 3/4*l**3.
-3*(l + 1)**2*(l + 2)/4
Suppose 0 = -42*b + 51*b - 27. Suppose -b*k = -13 + 4. Determine v so that 4/3*v + 2/3*v**k + 0 + 2*v**2 = 0.
-2, -1, 0
Let p(t) be the third derivative of t**6/24 + 29*t**5/12 + 175*t**4/3 + 750*t**3 + 4*t**2 + 45*t. Factor p(i).
5*(i + 9)*(i + 10)**2
Let k(c) = -5*c**5 - 435*c**4 - 355*c**3 + 25*c + 25. Let m(w) = w**5 + 108*w**4 + 89*w**3 - 6*w - 6. Let v(t) = 6*k(t) + 25*m(t). Solve v(r) = 0 for r.
-1, 0, 19
Let l(o) be the first derivative of -4/15*o**5 - 40000/3*o - 8000/3*o**2 - 800/3*o**3 - 40/3*o**4 + 25. Let l(u) = 0. Calculate u.
-10
Suppose 3*n + 2*f + 7 = -3*f, 0 = 4*n - 4*f - 12. Let z be n/7 + (2 + -3)/7. Suppose z + 1/4*v**3 - 1/2*v + 1/4*v**2 = 0. Calculate v.
-2, 0, 1
Let h be (45/(-60) - (-78)/72)*6. Factor -1/2*m**3 - 1/2 - 3/2*m**h - 3/2*m.
-(m + 1)**3/2
Let b(f) be the second derivative of f**6/75 - 13*f**5/50 + 9*f**4/5 - 92*f**3/15 + 56*f**2/5 - 196*f + 1. Find k, given that b(k) = 0.
2, 7
Suppose 0 = r + 3*x - 9, 4 = -3*r + 5*x - 11. Let n be 8/(-6)*(-6 + r). Factor -p**2 - n*p + 8*p.
-p**2
Let z(t) = -5*t**4 - 6*t**3 + 9*t**2 + 2*t + 4. Let y(b) = 14*b**4 + 17*b**3 - 25*b**2 - 6*b - 11. Let o(i) = -4*y(i) - 11*z(i). Solve o(j) = 0 for j.
-2, -1, 0, 1
Let u(o) = -5*o**2 - 151*o - 134. Let p(j) = -9*j**2 - 301*j - 272. Let x(l) = -3*p(l) + 5*u(l). Factor x(d).
2*(d + 1)*(d + 73)
Factor 80/3 + 124/9*w + 2/9*w**2.
2*(w + 2)*(w + 60)/9
Let s = -83 + 78. Let v(a) = 12*a**2 + 2*a + 5. Let c(l) = -12*l**2 - l - 4. Let p(n) = s*c(n) - 4*v(n). Solve p(f) = 0.
0, 1/4
Let j(n) be the second derivative of n**5/30 - 20*n**4/9 + 400*n**3/9 - 4*n + 40. Factor j(o).
2*o*(o - 20)**2/3
Let q be ((-3)/1)/((-9)/(-78)). Let g be (-9)/(-26) + (-1)/q*4. Solve 1/2*n**3 + 0*n - g*n**2 + 0 = 0 for n.
0, 1
Let c = 1607/610 + 4/61. What is w in 27/10*w**4 - 13/5*w**2 + c*w**5 - 9/10*w - 9/5*w**3 - 1/10 = 0?
-1, -1/3, 1
Let p(a) be the third derivative of a**7/105 - 13*a**6/15 + a**2 - 56*a. Factor p(s).
2*s**3*(s - 52)
Factor 884/3*b + 97682/3 + 2/3*b**2.
2*(b + 221)**2/3
Factor 22*j + 6*j + 3*j**3 + 25 - j**3 - 22*j**2 + 36*j - 81.
2*(j - 7)*(j - 2)**2
Let b(q) = 7*q**2 + 323*q - 13796. Let z(l) = -3*l**2 - 162*l + 6897. Let o(w) = 4*b(w) + 9*z(w). Factor o(p).
(p - 83)**2
Suppose -3*w = -5*k + 25, -3*k + 2*w + 6 + 9 = 0. Factor -10*l - 4*l**2 - 2*l**k + 2*l**4 + 12*l**3 - 6 + 0*l**2 + 4*l**2 + 4*l**2.
-2*(l - 3)*(l - 1)*(l + 1)**3
Let t(y) be the second derivative of -y**6/50 + 24*y*
|
{
"pile_set_name": "DM Mathematics"
}
|
places?
-0.000009
Let g be 66164564/10 + 2/(-5) - -3. Suppose -w + g = -14183541. Round w to the nearest 1000000.
21000000
Let o = 421.000347 + -421. What is o rounded to 4 decimal places?
0.0003
Let d = -67156 + 34556. What is d rounded to the nearest ten thousand?
-30000
Let w = -1379 - -1378.999996223. What is w rounded to six decimal places?
-0.000004
Let s = -2051 - -2051.2631. What is s rounded to 2 dps?
0.26
Let x = -409.229 - -409. Let t = -0.5639 - -0.324. Let w = x - t. What is w rounded to three dps?
0.011
Let l = 95 - 242. Let k = l - -147.93. What is k rounded to 1 decimal place?
0.9
Let s = -203105 - -203104.4999944. Let g = 0.9 + -1.4. Let k = g - s. What is k rounded to 6 decimal places?
0.000006
Suppose 7*q + 1382 = 5*q + 3*h, -688 = q - 3*h. What is q rounded to the nearest one hundred?
-700
Let l = -6009 + 5331.7. Round l to the nearest ten.
-680
Let i = 0.1140456 + -0.1133. Round i to 4 decimal places.
0.0007
Let y = -6153 - 2447. What is y rounded to the nearest 10000?
-10000
Suppose 22721 = 3*s + x - 10632, -4*s = 4*x - 44476. Let c(q) = s*q + 14803*q + 8680*q. Let i be c(5). What is i rounded to the nearest ten thousand?
170000
Let u = 1.2 - 0.9. Let g = -2 - u. What is g rounded to one dp?
-2.3
Let r = -19.3 - -10.6. Let j = -8.7039 - r. Round j to three decimal places.
-0.004
Let h(w) = 7*w**2 - 8*w - 22. Let q be h(17). Suppose 2*f + 4*p = 4*f + 752, -5*f = -5*p + q. Round f to the nearest one hundred.
-400
Let l = 55394416 + -117094416. What is l rounded to the nearest one million?
-62000000
Let k = 16468 - 9327. Let l = k - -15859. What is l rounded to the nearest ten thousand?
20000
Let x = 9013703546560.874 + -9013896124861.10400091. Let g = -192578299 - x. Let f = g + -1.23. What is f rounded to seven decimal places?
0.0000009
Let h = 1057.56 + -545.09. Let q = h + -516. What is q rounded to 1 dp?
-3.5
Let h = -1270239789811 - -1270220885143.00059. Let g = h - -18904563. Let q = g - -105. What is q rounded to 4 dps?
0.0006
Suppose -49830000 = -2*k + 13*k. What is k rounded to the nearest 100000?
-4500000
Let m = -46 + 45. Let a = m - -0.9999956. What is a rounded to 6 dps?
-0.000004
Let t be 1910/1*6/(-4). Suppose -1675 = -19*f + 24*f. Let j = t + f. What is j rounded to the nearest 1000?
-3000
Let u = 15.688 - 15.6879992911. What is u rounded to seven decimal places?
0.0000007
Let v = -49 + 150. Let y = v + -101.000043. What is y rounded to five dps?
-0.00004
Let u = -26380 + 48484. Let n = -14607 + u. Suppose -w - 2*d = -19698, n = -4*w + d + 86298. What is w rounded to the nearest one thousand?
20000
Let t = 8.65180803 + 0.01908497. Let a = 0.670873 - t. Let w = a - -8. Round w to 4 decimal places.
0
Let o = 0.511 - 0.51554. Round o to 3 decimal places.
-0.005
Let h be 1 - (-4 - (-521003 - 6/3)). What is h rounded to the nearest one hundred thousand?
-500000
Let r = 707 - 410. Let h = r - 297.617. Round h to one dp.
-0.6
Let z be (5890/3)/(-2 + 50/30). Round z to the nearest 1000.
-6000
Let p = -10218274029045 + 10218274177121.97199954. Let d = 148077 - p. Let f = -0.028 + d. What is f rounded to seven dps?
0.0000005
Let q = 4.458 - 4.43087. Round q to three decimal places.
0.027
Let r be ((1 - 4)/(-6))/(8/(-176)). Let n be (10/1)/(r/519200). Round n to the nearest 100000.
-500000
Let i(d) = -1291*d + 21. Let j be i(-12). Suppose 0 = 2*y - 4*l + 94501 - j, -5*y - 197506 = 2*l. Round y to the nearest 1000.
-40000
Let k(f) = 37079*f - 4. Let w be k(5). Suppose -2*r = 2*x + 492010, -x - w - 60584 = -5*r. What is x rounded to the nearest 10000?
-250000
Let m = 0.5806012884 + -0.5806. Round m to 7 dps.
0.0000013
Let d = 76.5 + -76.499481. What is d rounded to five dps?
0.00052
Let v = -1 + -3. Let z = 19468.99992 - 19473. Let n = v - z. What is n rounded to 4 dps?
0.0001
Suppose 3*m - 2*m - 3*p + 11 = 0, -4*p + 36 = 4*m. Suppose -3*i - m*k = 3596, 0*i = i - k + 1201. What is i rounded to the nearest 1000?
-1000
Let x = 394 - 394.903. What is x rounded to one dp?
-0.9
Let q(g) be the second derivative of -83611*g**3 - 2*g**2 + 2*g - 3. Let a be q(6). What is a rounded to the nearest 1000000?
-3000000
Let q = -0.455 - -0.45479. Round q to three dps.
0
Suppose -5*f - 4*u - 77786 - 19974 = 0, -19576 = f - 4*u. Let z = f - -13756. Round z to the nearest 1000.
-6000
Let j(p) = -p**3 + 8*p**2 - 4*p + 9. Let v be j(6). Suppose 597 - v = -3*y. What is y rounded to the nearest 100?
-200
Let n = -0.078 - 3.622. Let f = -70276795 - -70276798.7000029. Let d = f + n. What is d rounded to six decimal places?
0.000003
Let b be ((-19320)/98)/(2/287). What is b rounded to the nearest 1000?
-28000
Let w = 54.932 - -0.068. Let v = 54.9999951 - w. Round v to 6 dps.
-0.000005
Let k(y) = -5029*y**3 - y**2 - 2498*y**3 + 2*y - 4349*y**3. Let w be k(-2). Round w to the nearest ten thousand.
100000
Suppose 0 = 3*l - 3*f - 31920, -2*l = -5*l + f + 31924. Let g = l - 44142. What is g rounded to the nearest 10000?
-30000
Let k(j) = 8*j + 11789*j**2 + 30206*j**2 + 26094*j**2 - 14963*j**2. Let w be k(-8). Round w to the nearest one million.
3000000
Let g = -18839.260067 - -18836.96. Let q = -231 + 233.3. Let d = g + q. Round d to 5 decimal places.
-0.00007
Let p = -28.2 + 30. Let n = 1.80000169 - p. What is n rounded to 7 decimal places?
0.0000017
Let a = -1060.902 - 2.098. Let v = a - -973.9. What is v rounded to the nearest ten?
-90
Let b = 132 + -153.2. Round b to 0 decimal places.
-21
Let c(g) = 892*g + 6. Suppose k + 4 = -p + 2*k, -5*k + 17 = -4*p. Let m be c(p). Let a = -14630 + m. Round a to the nearest 1000.
-17000
Let z be 4860001/3*1 - 9/27. Suppose 5*j - 8*j - z = 0. Round j to the nearest one hundred thousand.
-500000
Let m be 62/6 + (8/(-6) - -1). Let k be m/195*-3 - 522600004/(-26). What is k rounded to the nearest one million?
20000000
Suppose 6*l + 10*l - 32 = 0. Suppose -3*o = -0*o + 3*i - 13680012, -5*o + l*i = -22799992. Round o to the nearest 100000.
4600000
Let s = -181 + 180.814. Let j = -0.019 + s. Round j to two dps.
-0.21
Let u(l) = l**2 - 7*l + 9. Let g be u(7). Let d be -3*((-1675263)/g - 3). Suppose 1391570 = -5*s - d. What is s rounded to the nearest 100000?
-400000
Let d = -864.36 + 921. Round d to 0 dps.
57
Let m(n) = 1 + 8 - 7*n + n**2 - 1 - 2. Let y be m(5). Let j be (2700/14)/(y/560). What is j rounded to the nearest ten thousand?
-30000
Let a = 0.18 - 0.02. Let c = -0.07 + a. What is c rounded to two dps?
0.09
Let h(o) = -30*o**2 + 5*o + 5. Suppose -3*f - 45 + 36 = 0. Let a be h(f). What is a rounded to the nearest one hundred?
-300
Let m = 866736 + -3912736. Round m to the nearest one hundred thousand.
-3000000
Suppose 6*c - 44114 = 7846. Round c to the nearest one thousand.
9000
Let u = -1050.99998661 - -1051. Round u to six dps.
0.000013
Let u(r) = 1085*r**3 - 19*r**2 - 67*r + 5. Let o be u(-3). Round o to the nearest one thousand.
-29000
Let n = -55.8 + 60. Let x = 4.2000023 - n. What is x rounded to seven dps?
0.0000023
Let k = -5844518.00007 - -5844544. Let w = k - 26. Round w to 4 dps.
-0.0001
Let x = -82.54 - -80. Let h = x + 4. Let m = h + -1.6. Round m to one decimal place.
-0.1
Let n = -22271.320004 + 22280.32. Let u = n + -9. Round u to 6 dps.
-0.000004
Let p(u) = u**3 - 22*u**2 - u + 26. Let k be p(22). Suppose k*c = -27 + 455. Round c to the nearest 10.
110
Let t = 105 - 105.0000067. Round t to six dps.
-0.000007
Let f = 372.1 + -398. Let i = f + 0.9. Let n = i + 24.999922. Round n to five dps.
-0.00008
Let i = -9.5948 + -2.5362. Round i to zero dps.
-12
Let z = -12 - 113. Let m = -125.0000068 - z. Round m to six decimal places.
-0.000007
Let b = 0.1191 + -0.0515. Round b to three decimal places.
0.068
Let r = -1295.1 - -1155. Let g = r - -151. What is g rounded to the nearest 10?
10
Suppose -p = 3*p + 68. Let h(t) = 6*t**2. Let d be h(-1). Let f be (p/(-1))/(2/d). Round f to the nearest 10.
50
Let g = -158.94 + 158.93993189. What is g rounded to six dps?
-0.000068
Let o = -13.2582 + -15.7363. Let g = 5.1 - 34.1. Let u = g - o. Round u to three dps.
-0.006
Let r = 16.3 + 3.7. Let c = -15 + r. Let u = 5.088 - c. Round u to 2 dps.
0.09
Let s(l) = -10382*l + 2. Let d be s(1). Round d to the nearest 100.
-10400
Let h = -0.1502 + 0.1500883. Round h to five decimal places.
-0.00011
Let q be 6/2 + 1
|
{
"pile_set_name": "DM Mathematics"
}
|
(57061/210)
Simplify f/((f*(f*f**(2/15))/f)/f)*f**12*(f*f**3)**(-6) assuming f is positive.
f**(-167/15)
Simplify (d*d**(-4/7)*d/((d*d**(-3/11))/d))/(d*(d**(-24)/d)/d*d/(d/(d*d**(-1/40)))) assuming d is positive.
d**(79237/3080)
Simplify (u**(-1/10)*u*u**(-33)/u)**(10/11) assuming u is positive.
u**(-331/11)
Simplify (((l*l**(-1/9))/l*l**(-2/9))**(2/15))**9 assuming l is positive.
l**(-2/5)
Simplify (((y/(y*y**(-2/11)/y)*y)/y**(-19))**(-2/13))**(-6/5) assuming y is positive.
y**(2796/715)
Simplify (((i/((i/(i*(i*i**(2/13))/i))/i))/i**1)/(i**(-2/3))**(-2/19))**(-8/5) assuming i is positive.
i**(-6424/3705)
Simplify (n**9/n)**(-29)*n**(-2/21)/(n/(n/(((n/(n**(-4)*n))/n*n)/n))) assuming n is positive.
n**(-4937/21)
Simplify ((a/(a**3/a*a))**39*a*a**(-6/7)*a*a*a*(a*a*a*a**(-1/6)*a)/a)**(-37) assuming a is positive.
a**(111925/42)
Simplify (k/(k*k*k**1))**(-18)/((k**(1/9)*k*k)/k*k/(k/(k*k**(-4/9)))) assuming k is positive.
k**(103/3)
Simplify (((r/r**(-3))/r)/r*r)**(4/19)/(r**(5/6)*r**0*r) assuming r is positive.
r**(-137/114)
Simplify (a**(-6))**17/(a*a/(a/(a/a**(-8))))**(-20/3) assuming a is positive.
a**(-106/3)
Simplify (x**21/(x**(-10)/x*x))/(x*x/((x*x*(x/(x*x/((x*x**0)/x)))/x*x*x)/x*x*x*x)*x/(x*x/(x*x**(6/7)))) assuming x is positive.
x**(225/7)
Simplify (t**(-1/2))**42*(t**(2/9))**17 assuming t is positive.
t**(-155/9)
Simplify (((y**(-2)*y)/y)/y)**28*y/(y**20/y)*y/(y*(((y/y**(-8)*y)/y)/y)/y) assuming y is positive.
y**(-109)
Simplify ((a*a**(-34))/(a/(((a*a**(-3)*a)/a)/a)))/((a/((a**29*a)/a))/(a/(a**(-24/7)/a*a))) assuming a is positive.
a**(-32/7)
Simplify (h/h**(-4)*h)**(-3)*h**7*h**(-1) assuming h is positive.
h**(-12)
Simplify ((g*g**(-1/2))/g**(-9/2)*(g*(g*g**(1/5)*g*g)/g*g*g*g*g)**(-4/13))**(-7) assuming g is positive.
g**(-1267/65)
Simplify (g/(g*g*g**(-6))*((g*g*g*g**(6/5)*g*g)/g)/g)/(g/g**6)**(-8) assuming g is positive.
g**(-154/5)
Simplify (b**(-15))**(2/3)*(b/((b**(-4)*b)/b))**(-3/2) assuming b is positive.
b**(-35/2)
Simplify (m/(m/(m*m**3)))**(-31)/(m/(m*m**9)*m*m)**17 assuming m is positive.
m**(-5)
Simplify (p**(1/2))**(-2)*((p*((p*p/(p*p**(-10/3)))/p)/p*p*p)/p)/p**(-6) assuming p is positive.
p**(28/3)
Simplify (((b/(b/(b/b**(-6)*b))*b)/b)/((b/((b*b**(-8/5))/b))/b*b))**(-2/11) assuming b is positive.
b**(-54/55)
Simplify (g**12*(g*g*(g**(-2/17)/g*g)/g*g)/g)/(g**7/g**(2/23)) assuming g is positive.
g**(2334/391)
Simplify (n*n/(n/(n*n**(-2/41)/n)))/(n/(n*(n/(n/(n**7/n))*n)/n*n))*(n/n**(-6/7))/n**0 assuming n is positive.
n**(2815/287)
Simplify ((q**(-10))**(-21))**22 assuming q is positive.
q**4620
Simplify (b**(-2/13)/b)**(-23/2)*b**(4/3)/((b*b**(-16))/b*b*b) assuming b is positive.
b**(2231/78)
Simplify ((m*m/(m*m/(m*m**10)*m*m)*m)/m)**(-42)/(m/((m*m**1)/m))**(1/14) assuming m is positive.
m**(-378)
Simplify ((q/(q/q**5))/q)**18*(q**(2/23)/q)**(-1/50) assuming q is positive.
q**(82821/1150)
Simplify (c**(2/3))**(-18)/((c**11*c)/c**(11/3)) assuming c is positive.
c**(-61/3)
Simplify (g**22*g)/(g*g*g**(-1/32)*g)*g*g**(14/5)/g*g*g**(7/6)*g assuming g is positive.
g**(12479/480)
Simplify (a/(a*a**(-3/20)*a)*a**(-1/3))**(-2/45) assuming a is positive.
a**(71/1350)
Simplify (o*o**(-25)*o*o/(o*o**23*o))/(o**(-14))**30 assuming o is positive.
o**373
Simplify v**17/v*v/(v/v**17)*(v**(-4))**3 assuming v is positive.
v**21
Simplify ((h/(h*h/(((h/(h/h**(3/2)))/h)/h)))/(h/h**(-7)))/(h*h**(1/17)*h/(h*h/(h/h**5)*h)) assuming h is positive.
h**(-155/34)
Simplify (s/(s*s*s*s**(-2))*s**17*s)/((((s*s**(4/7))/s*s)/s)/(s*s**(4/13))) assuming s is positive.
s**(1705/91)
Simplify ((k**8/(k*k*k/k**(1/2)*k))/(k*k/k**(2/11)*k*k*k*k*k**(-7)/k))**44 assuming k is positive.
k**294
Simplify (k/k**13*k)/k**(-10)*k**(4/7)*k**(-7) assuming k is positive.
k**(-52/7)
Simplify (w**(1/5)*(w*w*w/(w/(w*w**(4/11))))/w)/(w**(-17)/w*w*w**(5/8)/w) assuming w is positive.
w**(8773/440)
Simplify (z**(-1/6))**(20/11)*(z/z**(-3/7))/z**14 assuming z is positive.
z**(-2974/231)
Simplify (((z*z**(1/2))/(z/(z/(z**(-5/8)*z))))/(z**7*z/(z*z*z**5)*z))**(-7/3) assuming z is positive.
z**(49/24)
Simplify g**(-9)*g*g/(g*g**4*g)*g*((g/(g*g**(10/3)))/g)/g**13 assuming g is positive.
g**(-88/3)
Simplify (r**(1/13)*r*(r**5/r)/r)/(r**10*(r**(-3/2)/r)/r) assuming r is positive.
r**(-63/26)
Simplify ((w**(2/3))**(-22)/(w/((w*w/(w*w**(-4/3)*w))/w)*w**(-4)))**(17/4) assuming w is positive.
w**(-289/6)
Simplify ((y*y*y/(y*y/(y**(3/4)*y)))/(y*y**(-2/69)))/(y**(-6)/y*y**(1/2)) assuming y is positive.
y**(2285/276)
Simplify (w**(-37)/(w*(w/(w/w**(2/21)))/w))/((w*w*w**(-7/2)*w*w*w)/w)**46 assuming w is positive.
w**(-1262/21)
Simplify d/((d*d**(-19))/d)*d/(d/((d/d**(2/13))/d))*(d**(2/7))**(2/5) assuming d is positive.
d**(9082/455)
Simplify ((m*m**(-1))**3/(m**(-6)/m*m/m**7))**32 assuming m is positive.
m**416
Simplify ((s/s**(-12/7))/(s/s**40))/(s/s**(6/5))**(-3/22) assuming s is positive.
s**(32099/770)
Simplify y*y**(10/3)*y*(y*y/(y/(y**(1/22)*y))*y)/y*((y**10/y)/y)**(9/8) assuming y is positive.
y**(1081/66)
Simplify ((((u/(u/(u/(u/u**(-1)))))/u)/((u**2*u)/u))**(-19))**(1/6) assuming u is positive.
u**(38/3)
Simplify ((y**(-1))**(3/34)/((y**6/y)/(y*y**6)))**(3/8) assuming y is positive.
y**(195/272)
Simplify (n/(n/n**(3/4)))**(-3/4)*(n**(-2))**(1/8) assuming n is positive.
n**(-13/16)
Simplify (y*((y**(-5)*y*y)/y)/y)/y**17*(y*((y/(y/y**(-3/8)))/y)/y*y*y)**(-5) assuming y is positive.
y**(-193/8)
Simplify (((u*u/u**(-5)*u)/u*u)/u**(-6)*((u**3/u*u)/u*u)/(u**(-1/7)*u))**(-36) assuming u is positive.
u**(-4068/7)
Simplify (r/r**10*r**6*r/((r/(r/(r**(-1/13)/r)))/r)*(r*r**(-9)*r)/r)**(-35) assuming r is positive.
r**(3605/13)
Simplify ((((a/(a*a**4))/a)/a**(1/13))/(a**(-2/19)*a/(a**(4/5)*a)))**3 assuming a is positive.
a**(-15456/1235)
Simplify ((c**5/c)/c)**(-4/25)/(((c/(c*c*(c*c/c**20)/c))/c)/((c/(c*(c/(c*(c*c**27)/c))/c))/c)) assuming c is positive.
c**(238/25)
Simplify (((f*f*f*f/f**(5/6)*f*f*f*f)/f**(3/4))**14)**(-3/37) assuming f is positive.
f**(-539/74)
Simplify ((r*r*r**23)/r*r*r*r**(8/9))**32 assuming r is positive.
r**(7744/9)
Simplify c**(-33)*c**20*(c**(-11/3)/c)**(-24) assuming c is positive.
c**99
Simplify (((s/(s/(s*s**(-4))*s))/s)/s**15)/(s**(2/9)*s*s*(s/(s*s/(s/(s**(-7/6)*s)))*s)/s) assuming s is positive.
s**(-403/18)
Simplify (u*u*u*u*u*u**15*u)**(1/10)*(u**6)**(-19) assuming u is positive.
u**(-1119/10)
Simplify ((l**(-2/3)*l)**(-5/18)/(l**(-2/7))**20)**(2/67) assuming l is positive.
l**(2125/12663)
Simplify ((t/((t**(-3/5)/t*t)/t*t))/t**1*(t*t*t*t/((t**1/t*t*t)/t)*t)**(-2/75))**25 assuming t is positive.
t**(37/3)
Simplify j**(1/8)/j**(-15)*j/(j/j**(-3/7))*j**(-15)/j assuming j is positive.
j**(-73/56)
Simplify m**(-1)/m**(-23)*(m*m**18)/m**(-1/3) assuming m is positive.
m**(124/3)
Simplify (x/x**(1/9)*x**19)**(-2/21) assuming x is positive.
x**(-358/189)
Simplify (s/((s**(-2/5)/s)/s))**(-3/11)*((s/(s/(s/s**29)))/s)**3 assuming s is positive.
s**(-4836/55)
Simplify ((x**26*x)/(x*x**(2/21)))/(x/(x*(x**(-9)*x)/x)*x**(-12/5)) assuming x is positive.
x**(2027/105)
Simplify ((t/t**(3/7)*t*t**(-6))**(-40))**(-2/9) assuming t is positive.
t**(-2480/63)
Simplify ((m/(m*((m/((m/(m**(-9)*m*m))/m)*m)/m)/m*m*m))/((m/(m*(m*m*m*m**(-9))/m))/m*m))/(m*m**(-16)*m*m*m*m**(-1/21)) assuming m is positive.
m**(211/21)
Simplify c**(-13/4)/(c**(-1)/c)*(c*c**0)/(c*c*c/((c**20/c)/c)*c) assuming c is positive.
c**(55/4)
Simplify ((r/(r*r**(-5/6)))/r*(r**2*r)/r*(r*r*r*r/(r/(r/r**5))*r)/r**(-6))**14 assuming r is positive.
r**(329/3)
Simplify (k**5*k**(-9)*k)/((k/(k/(k*k/((k*k**(-23)/k)/k))))/k**(-34)) assuming k is positive.
k**(-63)
Simplify (x**(-1/12)*x*x**26)**(-48) assuming x is positive.
x**(-1292)
Simplify v**(-1/21)/v**(1/3)*(v/(v*v*v*v**(14/9))*v)**36 assuming v is positive.
v**(-1940/21)
Simplify (((l*l/(l**(-24)/l)*l)/l)/(l*l**(-22)*l*l))/(l*l*l*l**9*l**(-1/2)) assuming l is positive.
l**(69/2)
Simplify (h*h**(1/6)*h*h*h**(-6))/((h/h**(2/3))/h**9) assuming h is positive.
h**(35/6)
Simplify (i**(2/7)*i**(-12)*i)/(i**12/i**(-13)) assuming i is positive.
i**(-250/7)
Simplify (k**(-2/7))**(-42)/((k**12*k)/(k**(2/41)/k)) assuming k is positive.
k**(-80/41)
Simplify (q/((q**(3/4)/q*q)/q))/(q/(((q*q/q**(8/9))/q)/q))*q**18*q*q*q**(-15/4)*q assuming q is positive.
q**(299/18)
Simplify (z**5*z)/
|
{
"pile_set_name": "DM Mathematics"
}
|
2
Let k(f) = 9*f**4 - 5*f**2 - 5*f - 5. Let u(z) = -3*z. Let o be u(4). Let x(r) = 22*r**4 - 12*r**2 - 12*r - 12. Let i(n) = o*k(n) + 5*x(n). Factor i(h).
2*h**4
Let d = 7877/10412 + -17/2603. Factor -d*f**2 - 33/4 + 9*f.
-3*(f - 11)*(f - 1)/4
Determine n so that -140/9*n**3 + 226/9*n**2 - 44/9*n - 5 + 1/3*n**4 = 0.
-1/3, 1, 45
Suppose 2*q - q = 14. Suppose -42 = -m + q. Let -32*j + 37 - 45 - 4*j**2 - m = 0. Calculate j.
-4
Let x = -57/5 + 414/35. Find m such that x*m**4 + 6/7*m + 0*m**2 - 3/7 - 6/7*m**3 = 0.
-1, 1
Let a(l) be the third derivative of -45*l**2 + 1/252*l**7 - 1/8*l**5 - 5/9*l**3 + 0 + 0*l - 55/144*l**4 - 1/144*l**6. Factor a(w).
5*(w - 4)*(w + 1)**3/6
Let d(a) be the first derivative of -a**8/112 + 3*a**6/40 - a**5/10 + 2*a**2 + 4*a - 46. Let u(q) be the second derivative of d(q). Factor u(c).
-3*c**2*(c - 1)**2*(c + 2)
Let w(y) = 8*y**2 - 28*y + 40. Let g be 15/((-6)/8*-4). Let l(a) = 9*a**2 - 29*a + 41. Let z(m) = g*w(m) - 4*l(m). Factor z(h).
4*(h - 3)**2
Factor -9604/9 - 4/9*k**2 + 392/9*k.
-4*(k - 49)**2/9
Let v(t) be the second derivative of 3/20*t**5 - 4*t - 3/4*t**4 + 3/2*t**3 - 3/2*t**2 + 0. Factor v(y).
3*(y - 1)**3
Suppose -k = 3*j - 5*j + 10, -3*j + k + 15 = 0. Suppose 3*y - 1 = j. Suppose -11 + 3*v**2 - 3*v**4 + 3*v**y + v + 9 + 5*v**4 - 7*v**3 = 0. Calculate v.
-1/2, 1, 2
Let g(k) be the second derivative of 2/15*k**5 + 0 + 0*k**4 + 0*k**3 + 14*k + 1/63*k**7 + 4/45*k**6 + 0*k**2. Let g(x) = 0. What is x?
-2, 0
Let s(y) = 4*y**4 - 11*y**3 - 7*y**2 + 2*y - 6. Let a be 2/4*72/6. Let n(f) = 11*f**4 - 32*f**3 - 20*f**2 + 6*f - 17. Let o(l) = a*n(l) - 17*s(l). Factor o(p).
-p*(p + 1)*(p + 2)*(2*p - 1)
Let m(k) be the second derivative of k**7/210 - 7*k**6/270 + k**5/18 - k**4/18 - 19*k**3/6 + 28*k. Let l(x) be the second derivative of m(x). Factor l(w).
4*(w - 1)**2*(3*w - 1)/3
Let p(i) = 8*i + 40. Let j be p(-5). Let o(n) be the second derivative of -5/12*n**4 + 3*n + j - 7/6*n**3 - n**2. Factor o(a).
-(a + 1)*(5*a + 2)
Suppose -319*z + 568 = -19*z - 932. Factor -22/5*c**2 - 18/5*c**3 + 2/5*c**z - 8/5*c - 2/5*c**4 + 0.
2*c*(c - 4)*(c + 1)**3/5
Let j be ((-2)/(-12))/(7/(2 + 5)). Let d(o) be the third derivative of 0 + o**2 + 1/60*o**5 + 0*o**4 + 0*o - j*o**3. Suppose d(q) = 0. Calculate q.
-1, 1
Let j(u) be the third derivative of -25*u**8/2688 - u**7/24 - 23*u**6/320 - 7*u**5/120 - u**4/48 - u**2 + 39*u. Suppose j(s) = 0. Calculate s.
-1, -2/5, 0
What is d in -13/5*d + 22/5 + 1/5*d**2 = 0?
2, 11
Let h(n) = n**3 + 7*n**2 - 75*n + 41. Let o be h(-13). Let f(m) be the first derivative of 7 + 1/15*m**5 - 1/4*m**4 + 0*m**o + 0*m + 2/9*m**3. Factor f(z).
z**2*(z - 2)*(z - 1)/3
Let f(y) = y**2 + 3*y + 2. Let t be f(-3). Suppose 3*d + 12 = 12. Suppose 2/11*v - 2/11*v**t + d = 0. Calculate v.
0, 1
Let c = 20 - 32. Let w(g) = -g**3 - 1. Let a(y) = -2*y**3 + 3*y**2 + 3*y - 2. Let o(h) = c*w(h) + 4*a(h). Factor o(i).
4*(i + 1)**3
Let w(m) = m**3 - 28*m**2 + 31*m + 53. Let f be w(27). Determine h, given that 16 - 160*h + f*h**2 - 365*h**3 + 307*h**2 + 41*h**3 = 0.
2/9, 1
Let k(h) be the first derivative of h**5/10 + 11*h**4/4 + 157*h**3/6 + 99*h**2 + 162*h + 27. Factor k(n).
(n + 2)**2*(n + 9)**2/2
Let c(x) = x**3 + 6*x**2 - 8*x - 5. Let n be c(-7). Factor -6*z**4 + 4*z**4 + z**2 + z**n - 2*z**3 + 2*z**5.
2*z**2*(z - 1)**2*(z + 1)
Let z(t) be the third derivative of -t**5/300 - t**4/10 - 6*t**3/5 + 2*t**2 + 2*t. Factor z(l).
-(l + 6)**2/5
Let g(k) be the first derivative of -k**6/12 - 2*k**5/5 - k**4/2 + k**3/3 + 5*k**2/4 + k + 85. Factor g(m).
-(m - 1)*(m + 1)**3*(m + 2)/2
Let i = -8343 + 8346. Suppose -6348/17*p**2 + 552/17*p + 24334/17*p**i - 16/17 = 0. Calculate p.
2/23
Let c(k) be the third derivative of k**8/252 - k**7/15 + 29*k**6/90 - 34*k**5/45 + k**4 - 7*k**3/9 + 61*k**2 + 2. Find a such that c(a) = 0.
1/2, 1, 7
Suppose 4*w + 29 = 2*w - 5*m, 2*w = 5*m + 1. Let u(s) = -s - 7. Let j be u(w). Find k such that j*k - 1/3 + 0*k**3 - 1/3*k**4 + 2/3*k**2 = 0.
-1, 1
Let j(h) be the second derivative of -h**7/28 - 2*h**6/5 - 39*h**5/40 - 3*h**4/4 + 46*h. Let j(u) = 0. Calculate u.
-6, -1, 0
Factor -20*d - 21*d**2 - 30*d**2 + 47*d**2 + 96.
-4*(d - 3)*(d + 8)
Let h(r) be the third derivative of -r**5/80 - 5*r**4/8 + 12*r**3 - 46*r**2. Suppose h(q) = 0. Calculate q.
-24, 4
Let b = -1/79 - -241/316. Let q = -206 + 833/4. Find j such that 0*j**2 - 3/2 - q*j + b*j**3 = 0.
-1, 2
Suppose 3*d - 6 = -0*x + x, d - 3 = 0. Suppose -v - z - 6 = -3*z, -4*v - x*z + 9 = 0. Factor -1/2*s**2 + v - 1/2*s + 1/2*s**3 + 1/2*s**4.
s*(s - 1)*(s + 1)**2/2
Let x(b) be the second derivative of -3*b**6/10 + 21*b**5/10 - 3*b**4 - 12*b**3 + 48*b**2 - 366*b. Factor x(f).
-3*(f - 2)**3*(3*f + 4)
Let h = -4096 - -20481/5. Suppose 2/5*l**2 - 2/5 + 1/5*l - h*l**3 = 0. Calculate l.
-1, 1, 2
What is a in 35*a**5 + 21 - 181 + 80*a**2 - 1350*a**3 + 1070*a**3 - 10*a**4 + 560*a = 0?
-2, 2/7, 2
Suppose -825 = 13*b - 851. Let p(y) be the second derivative of -1/10*y**5 - 9/4*y**b - y - 7/2*y**3 + 0 - 25/24*y**4. Factor p(n).
-(n + 3)**2*(4*n + 1)/2
Determine u, given that -2/11*u**5 + 0*u - 16/11*u**2 + 0 - 28/11*u**3 - 14/11*u**4 = 0.
-4, -2, -1, 0
Let f be (-3 + 0)*8998/(-198). Let d = f - 131. Find q, given that d*q - 2/3*q**5 + 10/3*q**4 - 4*q**3 + 0 - 8/3*q**2 = 0.
-1, 0, 2
Factor -17*n + 22*n - 29*n**2 - 37*n - 27 + 23 - 7*n**3.
-(n + 2)**2*(7*n + 1)
Suppose 4/9*z - 40/3 + 4/9*z**2 = 0. Calculate z.
-6, 5
Let b be (-189)/(-405)*24/28. Factor -6/5*l**2 + 0 - 4/5*l - b*l**3.
-2*l*(l + 1)*(l + 2)/5
Let u = 14/93 - 27/248. Let z(l) be the second derivative of -2*l + 1/60*l**6 + 1/40*l**5 + 0*l**3 - 1/84*l**7 + 0*l**2 + 0 - u*l**4. Factor z(v).
-v**2*(v - 1)**2*(v + 1)/2
Suppose 12/7 - 3/7*j**2 + 0*j = 0. What is j?
-2, 2
Determine c so that -1/7*c**2 - 47/7 + 48/7*c = 0.
1, 47
Determine u so that 1/4*u**4 + 325/4*u**2 + 375*u + 15/2*u**3 + 625 = 0.
-10, -5
Let q = 20726/3 + -6986. Let p = q + 545/6. Factor -9*n + 3/2*n**2 + p.
3*(n - 3)**2/2
Let z(f) be the second derivative of f**7/70 + 2*f**6/25 - 7*f**4/10 - 17*f**3/10 - 9*f**2/5 + f + 2. Factor z(w).
3*(w - 2)*(w + 1)**3*(w + 3)/5
Let r be 4 + (4 - (-2 - -2)). Suppose -3*a**5 - 4*a**3 - r*a**3 + 15*a**3 = 0. What is a?
-1, 0, 1
Factor 1012/5*y - 24 + 68/5*y**2.
4*(y + 15)*(17*y - 2)/5
Suppose 8*z = 13*z + 4*d - 30, 4*z - 2*d = -2. Let w(l) be the second derivative of -1/60*l**4 + 0 + 1/30*l**3 + 9*l + 1/5*l**z. Factor w(s).
-(s - 2)*(s + 1)/5
Let j be 33273/(-18)*(1 + (-13)/11). Let s = 337 - j. What is n in 2/11*n**4 + s*n**2 + 4/11*n + 8/11*n**3 + 0 = 0?
-2, -1, 0
Let j = 7/173 + 1529/692. Find c such that 0 + 0*c + j*c**3 - 3/4*c**5 - 3/2*c**2 + 0*c**4 = 0.
-2, 0, 1
Let l(t) = t**3 + t**2 + 116*t - 242. Let b be l(2). Find s, given that -3/4 - s - 1/4*s**b = 0.
-3, -1
Let a = 23 - 18. Let z be ((-8)/a)/((-104)/(-20) + -8). Determine g, given that 2/7*g + z*g**2 - 4/7 - 2/7*g**3 = 0.
-1, 1, 2
Suppose 19*m - m = 54. Let z(l) be the second derivative of -1/9*l**m + 0*l**4 - 4*l + 0*l**2 + 1/30*l**5 + 0. Let z(b) = 0. Calculate b.
-1, 0, 1
Factor 0 + 14/3*v - 2/3*v**2.
-2*v*(v - 7)/3
Let k(v) be the first derivative of 2*v**3/3 + 5*v**2 + 13. Factor k(g).
2*g*(g + 5)
Let 10/11*l**4 - 64/11*l + 206/11*l**2 - 24 + 114/11*l**3 - 2/11*l**5 = 0. What is l?
-3, -2, 1, 11
Let s = 47/36 + -5/4. Let p(l) be the second derivative of -2/3*l**3 + 0 - s*l**4 - 3*l**2 - 2*l. Factor p(d).
-2*(d + 3)**2/3
Let l be (9/78)/((-840)/(-1820)). Factor -m + l*m**4 + 11/4*m**2 + 1/4*m**5 - 9/4*m**3 + 0.
m*(m - 1)**3*(m + 4)/4
Let j = -18298/15 + 1220. Suppose 4/15*z**2 + 2/15 - 2/5*z + j*z**5 - 2/5*z**4 + 4/15*z**3 = 0. What is z?
-1, 1
Let g(t) be the first derivative of -2*t**3/3 - 2*t**2 + 16*t - 59. Find m such that g(m) = 0.
-4, 2
Let l(y) be the first derivative of 2*y**6/9 - 8*y**5/5 + 14*y**4/3 - 64*y**3/9 + 6*y**2 - 8*y/3 - 153. Factor l(d).
4*(d - 2)*(d - 1)**4/3
Let v = -1859/15 - -124. Let a = v - -2/15. Factor 1/5*c**2 - a*c - 2/5.
(c - 2)*(c + 1)/5
Let q = 15 - 5. Suppose 4 = -2*u + q. Factor u - 12*i**2 + 7 - 9*i**3 - 3*i - 10.
-3*i*(i + 1)*(3*i + 1)
Let u(g) = g**5 + g**4 + 17*g**3 - 40*g**2 + 27*g - 3. Let z(b) = 5*b**5 + 3*b**4 + 69*b**3 - 160*b**2 + 109*b - 13. Let l(x) = -26*u(x) + 6*z(x). Factor l(c).
4*c*(c - 2)**2*(c
|
{
"pile_set_name": "DM Mathematics"
}
|
u(5). Is h equal to a?
False
Let k = 171 - 159. Suppose f + 25 = 2*s + 2*f, s = 2*f. Let a = k - s. Which is smaller: 3 or a?
a
Let q = 6612.634 - 6.634. Is -2/5 not equal to q?
True
Let m = -102415/136 - -4916/17. Is -464 at most as big as m?
True
Let b = -520319 + 520321. Let u be (-6)/(-4)*(-2)/(-1). Is u at least as big as b?
True
Let t(w) = w. Let o(p) = -64*p + 10. Let b(a) = o(a) + 2*t(a). Let x be b(4). Let j be (-204)/x*7/4. Which is greater: j or 1?
j
Let l = 4678 + -4678. Which is greater: -1069 or l?
l
Let s(q) = 27*q**2 - 85*q + 5. Let z be s(4). Suppose -7*h - 3*h + 980 = 0. Is z > h?
False
Let t = 0.43148 - 0.13148. Which is smaller: t or 0.434?
t
Let g = -24 + 14. Let y be 3*(-5)/(-15) + g/(-2). Let z be -1*y/(-15) - 9/(-15). Is z < 1/23?
False
Let j = 71 - 75. Let z be j/(-20) - 28/(-385). Is z not equal to -1?
True
Let d = -1518.675 - 3.325. Which is greater: d or -3?
-3
Let f(g) = -1252*g + 6105. Let y be f(5). Which is smaller: y or -149?
y
Let x = -65 - -609. Let m = 549 - x. Do -1 and m have different values?
True
Suppose 2*s - x - 4 = -2*s, -3*s + 2*x = 2. Let w be (-6)/s*(-5)/(-18). Let y = -8417 + 8415. Is w < y?
False
Let f(j) = j**2 + 5*j - 21. Let v be f(-9). Let s be (-212)/(-10) + 12/v. Let n be (-2)/(s - -3 - 2). Which is greater: 1 or n?
1
Let l be ((-1)/(8/6))/(15/20220). Is -1011 at least as big as l?
True
Let r be (-1)/((-7)/(-14)) - -2. Let i(g) = g**3 - g**2 - g - 26. Let l be i(r). Is -27 less than l?
True
Let b(v) = v**2 + 106*v - 66. Let c be b(-107). Which is bigger: c or -91?
c
Let u = 9119 - 81857/9. Is u at most as big as 25?
True
Let r be (5 + 57/(-15))*(2 - (-16)/72). Is -773 greater than r?
False
Suppose 3*a + 5*t = 1, -5*t = -2 - 23. Let p be (-4)/14 - (0 + a/28). Let g = 14/15 - 34/15. Is p < g?
False
Suppose 0 = -5*n - m - 687, 5632*m = 5*n + 5629*m + 679. Is -90 at most n?
False
Let j be 45/(-27)*(-114)/(-15485). Suppose 0*s = -2*s. Which is smaller: s or j?
j
Let s(d) = 5987*d - 5992*d - 85 + 7. Let r be s(-32). Which is greater: 81 or r?
r
Let n = 1151 + -1149. Is n bigger than -1859?
True
Suppose -3*m = -4*v - 16333, -3*m = -10*v + 14*v + 16291. Is v > -4077?
False
Let r be 1/3 - 35/(-3). Let s = 6944 - 6939. Suppose s*c - 3*m = -r, -3*m = c + m - 16. Which is bigger: -4/3 or c?
c
Let b be (4 - 17*-6)*((-63)/(-9))/14. Suppose -3*d + 135 + 24 = 0. Is d at least b?
True
Let t = 131/8 + -3529/216. Are -11/2 and t equal?
False
Let g be 11 + 135/(-12) + (-9335)/20*1. Which is smaller: g or -471?
-471
Let d = 17859 + -17859.03. Does 2/695 = d?
False
Suppose -55*w + 103 = -54*w. Let x = -307/3 + w. Is -326 less than x?
True
Let z = -703.9 - -1166. Let h = z + -462. Let j = 13 + -13.36. Is h less than or equal to j?
False
Let p be (99/1287)/((-2)/8). Which is smaller: p or -0.18?
p
Let o(l) = -l**2 - 9*l + 13. Let d be o(-10). Suppose 0 = 5*f + w - 3698 + 3726, 0 = w + 8. Are d and f nonequal?
True
Let i(x) = -11*x - 941. Let k be i(5). Which is smaller: -992 or k?
k
Suppose -5*s + 2*z = -103 + 276, 0 = 4*z + 24. Let t be ((-35)/(-2))/(2/(-4)). Is t bigger than s?
True
Let q = -0.57 + 0.07. Let p = -683.5 + 683.4. Which is bigger: p or q?
p
Suppose -3*a + 1 = y, 0 = -6*a + a - 5*y + 15. Which is bigger: 13 or a?
13
Let r(c) = -11*c + 133. Let u(s) = -11*s + 131. Let o(a) = -4*r(a) + 3*u(a). Let d be o(-23). Is d <= -393?
False
Let a = -0.3214 + 0.0214. Suppose 2*q + 10 = -3*q. Let h be 57/(-84) - q/8. Which is bigger: a or h?
a
Let s(n) = 12*n**3 + n**2 + 2*n + 1. Let t be s(-1). Let b = 43916 + -43927. Which is greater: b or t?
b
Let s(o) = -o**2 - 2*o + 1. Let p be s(-2). Let f(j) = j**2 - 2*j. Let v be f(p). Let i be ((-2)/76)/(v/(-4)). Is i at least -1/5?
True
Let z = 230.4 + -208. Let i = -23.37 + z. Let c = i - -0.97. Which is smaller: c or -0.8?
-0.8
Let h(l) = -10*l + 19*l + 12 + l**3 - 14*l**2 + 21 - 11. Let s be h(13). Let x be -3*265/s*(-2)/(-3). Is x at least as big as 18?
False
Let y(c) = 17*c**2 + 20*c - 29. Let n be y(3). Let z be 8/2 + 26*(-20)/n. Is 1 bigger than z?
False
Suppose 0 = 2*u + 10, u - 14 = -3*p - 1. Suppose -w = p + 3. Let a = 134 + -143. Is a greater than or equal to w?
True
Let k = 0.467 - 3.571. Let b = k - -0.104. Is b greater than 98?
False
Let w(t) = 4*t**2 + 8*t + 10. Let n = 16 - 20. Let u be w(n). Let b = u - 29. Is 13 equal to b?
True
Let r(l) = -106*l - 119*l + 248*l + 25. Let y be r(2). Is y > 71?
False
Let a be (9/2 + -1)*(12 - 14). Let d be (6/(-10))/(a + (-2736)/(-390)). Are d and -35 equal?
False
Let i = -6657 - -6892. Which is smaller: 229 or i?
229
Let b be (-674)/17861 + 2098/5035. Which is smaller: 1 or b?
b
Let w = 450 + -2707/6. Let c(m) = -3*m**2 - 5*m + 61. Let d be c(-13). Let f = d + 380. Which is bigger: f or w?
f
Let v be (-106083)/156 + -1 - 10/(-40). Let n = v + 680. Let l = -47 + 46. Is l less than or equal to n?
True
Let d = 3899 + -3756. Is d less than 145?
True
Let r be 7282/10 + (-21)/(-70). Let l = r + -700. Is l equal to 30?
False
Let s be (0 - -4) + 8/(-2). Suppose -631*u + 649*u = -90. Which is smaller: s or u?
u
Let k = -134 + 134. Let p(u) = -15*u + 3. Let h be p(2). Let x be (-1 - 650/(-576)) + 6/h. Which is bigger: x or k?
k
Let q = -48 + 49. Let d be (1 - (1 + 1)) + 3 + q. Suppose -2*k = 4, 4*o + d*k = 2*k - 6. Which is bigger: o or 2/157?
2/157
Suppose -2*u - 6 = 3*f, 3*f = -2*u + 4*f + 10. Suppose 4*t - 3*t + 78 = -3*o, 0 = t - u*o + 102. Is t at most as big as -90?
True
Suppose 26 - 29 = -3*z, 0 = -5*k + 2*z + 418. Let o be ((-8)/k*7)/(4/21). Let r(i) = -i + 2. Let x be r(6). Do o and x have different values?
True
Suppose 3*z + 5 - 8 = 0, 2*w + 19 = -z. Let j be ((-2)/(-29))/((-7 - 53)/w). Are 0 and j unequal?
True
Let j(c) = -c**3 - 12*c**2 + c + 11. Let p be j(-12). Let a be 17 - (7 - (p - -1) - 3). Suppose 3*v - 4 + a = 0. Which is bigger: 1 or v?
1
Let x = 23902806070/56409 - 423741. Which is greater: x or 0?
x
Let g = 1193 - 684. Which is smaller: g or 510?
g
Let g = 11 - 20. Let i = 47 - g. Let b = i + -55. Which is bigger: 26 or b?
26
Suppose 51*q = 56*q - 2*w + 10, 4*q - 25 = -5*w. Which is smaller: q or -9/2?
-9/2
Let v = -2546.1 - -2560.1. Which is bigger: v or 595?
595
Let m(p) = 2*p**3 - 11*p**2 + 4*p - 1. Let s be m(5). Let l be (-24)/s - (-1 - (-423)/87). Is l bigger than 1?
False
Let s be 2/(-10)*(-8 - 57). Suppose -r + 11 = -3*z + 2*z, -3*z - r - s = 0. Let u = 16/105 - 20/21. Which is bigger: u or z?
u
Suppose 0 = -27*r - 2*r - 172*r - 15678. Is r at least as big as -61?
False
Let z be (-4)/10 + 534*3/4080. Let t = z + 3095/136. Let l = -22 + t. Which is bigger: 0 or l?
l
Let n be (24/(-27))/((-14)/63) - -546. Let q = n + -559. Do q and -21 have different values?
True
Let k = 8.56 + 301.44. Let d = 308 - k. Is d at most 3.69?
True
Let u = -4488913/30 - -149596. Let c = -107/6 - u. Let b = 2603/155 - c. Is b < -1?
False
Let v = -3198 - -3221. Are 43 and v equal?
False
Let q = 2362 + -2361. Which is smaller: 11/249 or q?
11/249
Let w = -0.0549 - 1.3251. Let d = w - 20.62. Is d greater than 0.02?
False
Let a = -0.67817 + 0.05817. Which is bigger: -13 or a?
a
Let f be (1664/(-834))/1 + 2. Suppose -63*w - 283 = 51*w - 397. Is f greater than w?
False
Let k = -533 + 22. Let y = k - -6640/13. Suppose -5*r - 2*z = -9, 0 = r - 2*z - 149 + 152. Which is greater: y or r?
r
Let g = 9635 - 9816. Suppose l + 30 + 152 = 0. Is l less than g?
True
Let h(f) = -f**2 - 18*f - 13. Let z be h(-17). Let o(v) = -15*v - 6. Let w(l) = -45*l - 17. Let r(c) = z*w(c) - 11*o(c). Let j be r(1). Is -17 less than j?
False
Let j = -116604 + 116627. Let n(s) = s**3 + 2*s - 1. Let y be n(1). Suppose 18 = y*b - 26. Is b greater than j?
False
Let t be (-18)/135 - (-1209)/(-45). Suppose -2*a = 2*a + 3*r + 87, -4*r - 84 = 4*a. Let i = -52 - a. Is t > i?
True
Let v = 4/116671 + -43415342/116671. Let n = -372 - v. Let r = 251 + -250. Is n less than r?
True
Let n be 2/(-7) + 27/21. Let i(j) = -16*j - 2 + 26*j + 0*j - 8*j. Let u be i(n). Do 3 and u have the same value?
False
Let d(l) be the third derivative of l**4/24 + 25*l**3/6 - 9*l**2 - 2. Let p be d(-16). Let o = -18 - -13. Which is bigger: p or o?
p
Let o = 12884 - 142518/11. Which is bigger: o or -72?
-72
Let t be -10*(3/6 - 0). Let f = 7 + t. Let v be (-2 + 6)*(14/7 + -4) + 10. Is f at l
|
{
"pile_set_name": "DM Mathematics"
}
|
pose -d*n = 3*f - 12 - 24, 4*n = -2*f + 28. Suppose -9*k - 35 = -f*k. List the prime factors of k.
5, 7
Let v(h) = 3 + 2*h**2 + 0*h - 8 - h. Let y = 123 + -127. List the prime factors of v(y).
31
Let y(k) = 61*k**2 - 13*k + 5. What are the prime factors of y(-6)?
43, 53
Let m(t) = -6*t - 27. Let z be (-4)/2*(-7 + 14). List the prime factors of m(z).
3, 19
Let h be (-1 + 1)/(-7 - -5). Suppose 5*s + 40 = -h*s. Let u = 17 - s. List the prime factors of u.
5
Suppose y = -5*u + 20, -5*y - 2*u + 20 = 3*u. Suppose 2*q = 4*h - 0*q - 46, -5*h - q + 47 = y. Let v = h + 27. What are the prime factors of v?
37
Let i be 8 + -3 - (-3)/(-1). Suppose -5*d = -i*j - 165, 5*j - 103 + 4 = -3*d. What are the prime factors of d?
3, 11
Suppose -v = 5 + 3. Let m(z) = -z**2 - 10*z - 9. Let g(o) = -o**2 - 10*o - 10. Let w(j) = -2*g(j) + 3*m(j). List the prime factors of w(v).
3
Let w(u) = -3*u**2. Let j be w(-1). Let q be (-2)/((-1)/(j + -1)). Let c(f) = -3*f + 5. What are the prime factors of c(q)?
29
Suppose -r + 4 = 3*r. Let m(w) = 4*w**2 - 3*w + 2. List the prime factors of m(r).
3
Let i(b) = -7*b**3 - 3*b**2 - 2. Let n(w) = w**3 + w**2. Let y(k) = i(k) + 6*n(k). Suppose 2*j = -2 + 6. What are the prime factors of y(j)?
2
Let b(i) = -12 + 4 + 11*i - 8 - 2. What are the prime factors of b(7)?
59
Suppose -62*n = -82171 - 29305. List the prime factors of n.
2, 29, 31
Suppose 4*o = 5*j + 13929, -3*o = -j - 7222 - 3211. List the prime factors of o.
2, 11, 79
Let u = -19 + 11. Let d(z) = z**3 + 9*z**2 + 10*z + 18. Let c be d(u). What are the prime factors of -2 - (0 - (54 + c))?
2, 3
Let m = -340 - -477. What are the prime factors of m/(2 - (-3)/(-2))?
2, 137
Let h(r) be the second derivative of -5*r - 5/3*r**3 + 1/6*r**4 + 0 + 5/2*r**2. What are the prime factors of h(7)?
3, 11
Suppose 23*c = 27*c - x - 8828, -2*c - x + 4414 = 0. What are the prime factors of c?
2207
Suppose 0 = 273*v - 286*v + 6227. What are the prime factors of v?
479
Let r = -1710 - -2901. List the prime factors of r.
3, 397
Let r = 64 - 60. Let m = r - -29. What are the prime factors of m?
3, 11
Suppose -16 = -8*p + 4*p. Suppose -p*w = -5*n + 12, 0*n - 3*w + 26 = 5*n. Suppose 0 = q + n*h - 12, -3*h = -5*q - 8*h + 45. What are the prime factors of q?
2
Let i(b) = 25*b - 10. Let h be i(13). Suppose 4*k - 843 + h = 0. Suppose -2*t + k = 2*t. List the prime factors of t.
3, 11
Let z = 8 + -4. Suppose -3*a + 69 = -5*h + 16, 4*h = z*a - 36. Let t = h + 21. List the prime factors of t.
2
Let o(k) = k**3 - 3*k**2 + 4. Let r be o(3). Suppose -2*m + 2*c = -m + 8, r*m - 13 = -c. List the prime factors of 6*(1 - m)*-1.
2, 3
Suppose 3 + 22 = 5*b. Suppose 2*n = 8, -b*k + 5*n = -95 - 25. List the prime factors of k.
2, 7
Let i = -32 - -52. Suppose 0 = -3*k - 5*a + 25, -2*a + 6*a = i. List the prime factors of -1 - ((-132)/4 - k).
2
Suppose -523 = -5*y + 247. Let l = y + -103. List the prime factors of l.
3, 17
Let i(y) = 70*y. Let m be ((-2)/(-6))/(12/36). List the prime factors of i(m).
2, 5, 7
Suppose -2*h + 2*j = -770, -3*j - 876 = -5*h + 1055. List the prime factors of h.
2, 97
Let o be 10/(-15)*15 + 4. Let s = o - -121. List the prime factors of s.
5, 23
Let g be (-38)/(-8) + 3/(-4). Suppose 35 = g*o - 5. What are the prime factors of (-924)/(-15) - (-4)/o?
2, 31
Let v(j) = -481*j - 3. List the prime factors of v(-2).
7, 137
Let x be 2/(-10) + 5/25. Suppose 2*q - 2*k = 12, 4 = -2*k - x*k. Suppose -3*o = -q*u - 65, 0 = -4*o + 2*u + 28 + 42. List the prime factors of o.
3, 5
Let a = -239 - -985. List the prime factors of a.
2, 373
Let a(t) = 13*t**2 - 5*t + 21. Let g be a(6). Let x = g - 272. List the prime factors of x.
11, 17
Let r be (-9 + 9)*(-1)/3. Suppose r = -4*m - 4*v + 481 - 165, 5*m - 395 = v. List the prime factors of m.
79
Let k be ((-6)/(-4))/(6/(-32)). Let s(o) = -o**3 - 7*o**2 + 7*o + 1. Let z be s(k). List the prime factors of 202/6 + (-6)/z.
3, 11
Let d = -659 - -2484. List the prime factors of d.
5, 73
Let r(s) = s**2 - 18*s + 34. Suppose -32 = 6*p - 134. List the prime factors of r(p).
17
Suppose -z + 177 = 25*w - 21*w, -z + 5*w = -186. What are the prime factors of z?
181
Suppose -4 = -5*a - 4. Suppose -12*p + 366 - 54 = a. What are the prime factors of p?
2, 13
Suppose -18*b - 20 = -23*b. Suppose b*j + 4*j = 992. List the prime factors of j.
2, 31
Let o = -46 + 49. Let g = 6 + -4. Suppose m + o*n - g*n = 57, -m + 69 = 4*n. What are the prime factors of m?
53
What are the prime factors of ((-30)/(-140)*-1132)/(1/(-7))?
2, 3, 283
What are the prime factors of (-178 + 0)*(-288)/192?
3, 89
Let t be (1 + 1)*5/(-2). Let l = 3 - t. List the prime factors of 282/l - 3/12.
5, 7
Let k(z) = 101*z + 30. What are the prime factors of k(5)?
5, 107
List the prime factors of 22/(6 + 55/(-10)).
2, 11
Suppose -h = h - 8. Suppose 4*o - 44 = -2*m, o - h*m = -7 - 0. Let x = 0 + o. List the prime factors of x.
3
Suppose -85 + 1 = -4*c. Let x = c + -3. What are the prime factors of x?
2, 3
Let g(p) = -p**2 + 3. Let t be g(0). Suppose -5*q + d - 35 = 4*d, 0 = -4*q - t*d - 25. List the prime factors of 4/q + 762/30.
5
Let r be 13 - (-15 - 0)/(-5). Suppose -r*a + 48 = -7*a. List the prime factors of a.
2
Suppose -3*m + 2 = -10. Let p be m/6*6*1. Suppose -p = -3*j + 23. What are the prime factors of j?
3
Suppose 4*d = 21 + 51. Suppose -3*a = -a + d. What are the prime factors of 10 + 3/(a/(-6))?
2, 3
Let z = -234 - -269. List the prime factors of z.
5, 7
Suppose -15312 = -10*k + 2818. List the prime factors of k.
7, 37
Let z be (6 - (3 + 0))*1. Suppose -b + 156 = 4*i, -2*b = z*i - 5*b - 102. Let d = -13 + i. List the prime factors of d.
5
Suppose h + 8 = -3*h. What are the prime factors of (35/(-20))/(h/48)?
2, 3, 7
Let g(z) = 2*z**3 - 15*z**2 - 7*z - 5. What are the prime factors of g(11)?
3, 5, 17
Let w be (-375)/50*8/(-6). Suppose 0*u - w = -5*x + 5*u, 0 = 4*u - 4. Suppose 0 = -x*r - 3 + 231. List the prime factors of r.
2, 19
Let o = -197 + -42. Let q = -119 - o. List the prime factors of q.
2, 3, 5
Suppose 83760 = 205*n - 189*n. List the prime factors of n.
3, 5, 349
Suppose -p = -4, -261 = -9*w + 4*w + p. Suppose -3*g + w = -37. What are the prime factors of g?
2, 3, 5
List the prime factors of ((-24)/(-14))/((-95)/(-85785)).
2, 3, 43
Suppose 55 = 4*k - 29. Let i = -6 + k. Let n = 0 + i. List the prime factors of n.
3, 5
Let j = -27 + 1. List the prime factors of 35/28*(2 - j).
5, 7
What are the prime factors of (66/12 + -5)*266?
7, 19
Suppose -4*f = 5*o - 3343, 1322 = 4*f + 3*o - 2031. List the prime factors of f.
2, 421
Suppose -y + 614 + 404 = -4*r, -5*y = -2*r - 5162. What are the prime factors of y?
2, 11, 47
Suppose -o = -2*l - 397, 4*l + 382 = 4*o - 1206. Suppose -3*d + 166 = -2*z + 4*z, -3*d + o = 5*z. List the prime factors of (-2)/(-11) - (-1526)/z.
2, 5
Let b(a) = -a**3 + 9*a**2 + 7*a + 10. Let u = 38 + -38. Suppose 5*c + 4*c - 81 = u. List the prime factors of b(c).
73
Suppose -5*a + 16*z + 4445 = 11*z, 0 = a - 3*z - 889. What are the prime factors of a?
7, 127
Let a(x) be the first derivative of x**3/3 - 5*x**2/2 + 2*x - 6. List the prime factors of a(9).
2, 19
Suppose -2*c + 7 = -3*s - 3, -3*c = 4*s - 15. Suppose 0 = c*a + 2*y - 390, -a - 2*y - 90 = -2*a. List the prime factors of a.
2, 5
Suppose 0 = 5*c + 5, 3*a - 12 = -a - 4*c. Let v(t) = 4*t**2 - 6*t - 5*t**2 + 2*t**2 + 2*t**2. What are the prime factors of v(a)?
2, 3
Suppose -15 = -5*w - 2*k - k, -3*w - 5*k + 25 = 0. Suppose 208 = 4*m - 0*m - 2*d, w = -m + 3*d + 57. Suppose -4*q = -7*q + m. List the prime factors of q.
17
Let s(a) = -a**2 + 4*a - 2. Let t be s(2). Suppose 59 = 3*r - 3*z + t*z, r + 2*z = 29. Let u = r - 13. What are the prime factors of u?
2
Let x(y) = -494*y**3 + 4*y**2 + 2*y. List the prime factors of x(-1).
2, 31
Let c(h) = -565*h - 53. What are the prime factors of c(-2)?
3, 359
Suppose 21835 = 37*t + 2706. List the prime factors of t.
11, 47
Suppose 348 = x - 4*w - 216, -5*w + 1658 = 3*x. What are the prime factors of x?
2, 139
Let b(m) = m**3 + 10*m**2 - 14*m + 6. Let g be (-54)/5 - (-6)/(-30). Let s be b(g). Let j = 81 - s. What are the prime factors of j?
2, 3, 7
List the prime factors of (1*194/(-4))/((-4)/32).
2, 97
Let z = -20 - -25. Let b be (z/2)/((-6)/(-348)). Suppose 4*r + 2*u = 194, 2*r = -2*u - 43 + b. Wha
|
{
"pile_set_name": "DM Mathematics"
}
|
ided by -507?
-17952
What is -2 divided by -97887485?
2/97887485
Divide 162535720 by -4594.
-35380
-13830102 divided by -48357
286
55510400 divided by 8300
6688
Divide -7684040 by 4.
-1921010
-6599736 divided by 52
-126918
Calculate 5 divided by 11528768.
5/11528768
What is 1059396 divided by 81492?
13
Divide 95 by 180040.
19/36008
Calculate 2 divided by -23030519.
-2/23030519
Divide -686 by 5826.
-343/2913
What is -132407396 divided by 5?
-132407396/5
What is -12208375 divided by -10?
2441675/2
Calculate 16912835 divided by -14153.
-1195
What is 38998285 divided by -5?
-7799657
Divide -3583788 by 78.
-45946
What is 2452824 divided by -222984?
-11
1653413 divided by 234
1653413/234
-7735871 divided by -703261
11
Calculate 18037888 divided by -32.
-563684
Calculate 2586304 divided by 646576.
4
Divide -34 by -10256223.
34/10256223
What is 71242272 divided by -3?
-23747424
Divide 139180 by -135.
-27836/27
What is 2372864 divided by 403?
5888
36 divided by 13112350
18/6556175
-25401959 divided by 2309269
-11
-5443638 divided by 2822
-1929
Divide -7 by -45120200.
7/45120200
3988 divided by -27747
-3988/27747
Calculate 854680083 divided by -2.
-854680083/2
-125567498 divided by 2562602
-49
Calculate 28964005 divided by 7.
4137715
What is -9618049 divided by -9618049?
1
What is 10 divided by -1581851?
-10/1581851
Calculate 4692424 divided by -11.
-426584
Calculate -808408 divided by 221.
-808408/221
-136675272 divided by 1448
-94389
Calculate 1215370 divided by -11.
-1215370/11
What is 174792508 divided by -1409617?
-124
Calculate -32708397 divided by 6.
-10902799/2
Calculate 36380092 divided by -2.
-18190046
19749340 divided by 7
19749340/7
Divide 4816346 by 23.
4816346/23
Calculate -14380394 divided by 2.
-7190197
Divide 393 by 32830.
393/32830
5 divided by 11732971
5/11732971
What is -846978 divided by 33?
-25666
Divide 177790032 by -16.
-11111877
Divide 249622304 by 1264.
197486
Divide 31093444 by 1.
31093444
What is -3 divided by -66034628?
3/66034628
What is -3 divided by -18796566?
1/6265522
Calculate 3 divided by 20256197.
3/20256197
Calculate -17325716 divided by -8662858.
2
What is -4941793 divided by 3?
-4941793/3
What is -197399835 divided by -2322351?
85
131802 divided by -65901
-2
Divide -1360012 by -340003.
4
Calculate 3851915 divided by -770383.
-5
Calculate 81547296 divided by -10544.
-7734
What is 1748691 divided by -83271?
-21
Calculate 1 divided by -19152164.
-1/19152164
What is 10 divided by -232479?
-10/232479
Divide 0 by 211855546.
0
What is 3795660 divided by -22?
-172530
Calculate 3465498 divided by 1155166.
3
What is 91346403 divided by -2?
-91346403/2
Calculate 107822057 divided by 15403151.
7
Calculate 9633 divided by -8302.
-9633/8302
Calculate 109 divided by 258504.
109/258504
Calculate 75313096 divided by 4.
18828274
What is 58114908 divided by 189918?
306
What is 37026132 divided by 132?
280501
Divide 5 by 11151905.
1/2230381
-147899 divided by -82
147899/82
Divide 392102855 by 5.
78420571
-140485873 divided by -11
12771443
What is -2822 divided by -114264?
1411/57132
What is -1202407890 divided by -3?
400802630
-65807 divided by -2263
65807/2263
Divide -3345 by 495.
-223/33
Calculate 8242300 divided by -275.
-29972
Calculate 28652377 divided by -2.
-28652377/2
Divide -923956 by -226.
461978/113
-430720719 divided by 419397
-1027
Calculate -20012 divided by -285.
20012/285
What is -28152134 divided by -4?
14076067/2
What is 109429 divided by -35?
-109429/35
Calculate 29922192 divided by -3.
-9974064
Divide -104284 by -43.
104284/43
43 divided by 55883
43/55883
Calculate -1079 divided by 288941.
-1079/288941
Divide -964 by 545.
-964/545
What is -1000152 divided by -75?
333384/25
What is -96731831 divided by -133?
727307
Divide 20026311 by -3.
-6675437
Calculate 1 divided by -3185733.
-1/3185733
Calculate 155513 divided by 8.
155513/8
Divide 0 by -2743987.
0
What is 333279 divided by -75?
-111093/25
What is -8676896 divided by 4208?
-2062
What is -879 divided by 726317?
-879/726317
-1137092 divided by -6611
172
Calculate 760278 divided by -6.
-126713
What is -1152392414 divided by 25052009?
-46
Calculate -324 divided by 15902.
-162/7951
895023 divided by 6
298341/2
What is 729158 divided by -25?
-729158/25
Divide 31445970 by 3144597.
10
Divide 133103403 by -133103403.
-1
What is -2678152 divided by -8?
334769
What is 84176993 divided by 22769?
3697
Divide 10541820 by 2.
5270910
What is 9011321 divided by 89221?
101
What is -4238863 divided by -12?
4238863/12
Divide -256727712 by 1.
-256727712
What is -72496880 divided by -3?
72496880/3
Calculate 9 divided by -3960266.
-9/3960266
Divide -3537708 by 3.
-1179236
Calculate -262134 divided by 248.
-131067/124
What is 52834 divided by -68?
-26417/34
Divide 3508332 by -9431.
-372
-202 divided by 78651
-202/78651
-18396950 divided by -10
1839695
Calculate 13482942 divided by 1686.
7997
What is -138597000 divided by 230995?
-600
Calculate 3 divided by 3323214.
1/1107738
What is 17 divided by -38897158?
-17/38897158
Calculate 238279820 divided by -2.
-119139910
What is 59 divided by -1958636?
-59/1958636
What is 0 divided by 1332777?
0
14866936 divided by -1061924
-14
Divide 93430356 by -15571726.
-6
342 divided by -41853
-114/13951
Calculate 15448055 divided by 755.
20461
Calculate 3 divided by -189586927.
-3/189586927
Calculate -11 divided by -262719.
11/262719
Divide 571200 by -420.
-1360
Calculate 216501766 divided by 5.
216501766/5
Divide 45166904 by 5.
45166904/5
Calculate -2 divided by -4034293.
2/4034293
Divide -167076375 by 125.
-1336611
Divide 422598992 by 52824874.
8
What is 46276 divided by 52?
11569/13
Divide 4 by 326435.
4/326435
Divide -4 by 1416465.
-4/1416465
Divide -4299 by -132076.
4299/132076
What is 1 divided by 40309148?
1/40309148
-72 divided by -518141
72/518141
Calculate 9471812 divided by -2367953.
-4
What is -62 divided by 4111631?
-62/4111631
What is 6485 divided by -1871?
-6485/1871
Divide 3858 by -2811.
-1286/937
19297122 divided by 17062
1131
610 divided by 24629
610/24629
Calculate 10370 divided by -26629.
-10370/26629
Calculate -3 divided by -5110833.
1/1703611
260967339 divided by -3221819
-81
Divide -7178 by 484.
-3589/242
-10741941 divided by 1169
-9189
What is -12119952 divided by 24?
-504998
What is 2501142 divided by 21?
119102
Calculate 3557275 divided by 25.
142291
What is -7142555 divided by 3?
-7142555/3
Calculate 1573 divided by 355127.
1573/355127
What is -38 divided by -10992?
19/5496
Divide -197 by -7861.
197/7861
What is -108442 divided by 14?
-54221/7
-24760083 divided by 8253361
-3
Calculate -256 divided by -335848.
32/41981
504031600 divided by -20161264
-25
Calculate -21972647 divided by 2.
-21972647/2
What is 501075 divided by -167?
-501075/167
What is -4706840 divided by -470684?
10
Calculate 236416336 divided by 26.
9092936
What is 172223850 divided by 5?
34444770
Calculate 165984 divided by 535.
165984/535
Divide -2 by -1060114.
1/530057
Divide -3639825 by 5.
-727965
Divide -9106 by -1552.
4553/776
What is 64907 divided by 87?
64907/87
Calculate -2 divided by 2971421.
-2/2971421
Divide 60917 by -1451.
-60917/1451
What is 27201351 divided by -4?
-27201351/4
60 divided by 302269
60/302269
Divide 4571272 by -230.
-2285636/115
Divide -405 by 390702.
-135/130234
Divide -651893725 by 130378745.
-5
Divide -32986952 by 4.
-8246738
-22 divided by -492566
11/246283
What is -1353895452 divided by 108?
-12536069
Divide 18523693 by 4.
18523693/4
Divide 70 by 9541463.
70/9541463
What is 3 divided by -858676?
-3/858676
Calculate -2068268 divided by -1.
2068268
Divide -13654 by 78.
-6827/39
20918 divided by -1279
-20918/1279
-7225919 divided by 127
-56897
Divide 10535 by 6822.
10535/6822
What is 1 divided by 3293151?
1/3293151
Calculate 22799016 divided by -1062.
-21468
Calculate 39635796 divided by -428.
-92607
What is -19705464 divided by 4926366?
-4
Divide -1577 by 1321.
-1577/1321
Calculate -32248004 divided by -4.
8062001
What is 910 divided by 228508?
65/16322
-5 divided by -2446547
5/2446547
0 divided by -1748216
0
What is 8019395 divided by 205?
39119
What is -127975254 divided by -187647?
682
-17140250 divided by -2125
8066
Divide 1271438 by 2.
635719
Calculate 107899520 divided by -3181.
-33920
-18877518 divided by 67
-281754
|
{
"pile_set_name": "DM Mathematics"
}
|
11 = 26. Calculate the remainder when f is divided by s.
10
Suppose 174*x - 24 = 151*x - 1. What is the remainder when 352 is divided by x?
0
Let q = 39 - 18. Let r(n) = n**3 + 24*n**2 - 129*n - 37. What is the remainder when r(6) is divided by q?
17
Suppose 0*w - 840 = -4*w. Let x(f) = f**3 - 13*f**2 - 87*f - 34. What is the remainder when w is divided by x(18)?
10
Let g(d) = 10*d**2 + 4*d - 86. What is the remainder when g(11) is divided by 6?
4
Let d be ((-3)/15*-2)/(1/120). Suppose -5*n + d + 17 = 0. Let y(s) = s**3 - 14*s**2 + 15*s - 18. What is the remainder when y(n) is divided by 4?
0
Let a = -6997 - -42154. What is the remainder when a is divided by 24?
21
Suppose -x = -19 - 16. Suppose 7*d - 12 = 9. Suppose 2*y + 2*y = 16, -5*y = -d*m + 394. Calculate the remainder when m is divided by x.
33
Suppose 4*q + q + 3*x - 2 = 0, 5*x = 4*q - 9. Suppose 0*k = -2*k + 138. What is the remainder when k is divided by (11 + -2 + -2)/q?
6
Let p(d) = -d**3 + 11*d**2 - 28*d + 19. Calculate the remainder when 303 is divided by p(7).
18
Suppose 0 = 89*p - 88*p - 2*y - 37, 0 = -4*p - 5*y + 109. What is the remainder when 351 is divided by p?
10
Suppose -1686*b + 1691*b = -3*v + 4391, 0 = -4*v + b + 5801. Calculate the remainder when v is divided by 85.
7
Let h be 1/(-2) - (-70135)/166. Let a = 451 - h. What is the remainder when 1012 is divided by a?
26
Suppose -695 = -18*u - 11. What is the remainder when 156 is divided by u?
4
Let h(s) = s + 59. Let r be h(-48). Suppose 0 = 26*v - r*v - 2265. Calculate the remainder when v is divided by 51.
49
What is the remainder when 1102 is divided by 10/(-1) + (-3366)/(-153)?
10
Suppose 285944 = 9*f + 11*f + 42*f. Calculate the remainder when f is divided by 15.
7
Suppose -18*u + 16*u = -10. Let c(y) = u*y + 1 - 7 - 25*y. What is the remainder when c(-2) is divided by 19?
15
Suppose 5*m - 2*z - 453 = 0, -3*z - 33 - 55 = -m. Calculate the remainder when m is divided by (-3)/9 - 316/(-12).
13
Let x = -3380 + 3453. What is the remainder when 83 is divided by x?
10
Suppose z - 14 = -5*j + 33, 2*j - 10 = 4*z. Suppose 0 = -3*i + 2*t + 460, 4*i + 5*t - 125 = 3*i. Calculate the remainder when i is divided by j.
6
Suppose 64*k - 70 = 78*k. What is the remainder when (k/2)/(29/(-754)) is divided by 61?
4
Suppose -16153 + 3332 = -274*s + 24991. Calculate the remainder when 322 is divided by s.
46
Suppose -2*a = -3*f - 118, -303 = 3*f - 291. Suppose 3*g - 38 = 7. Calculate the remainder when a is divided by g.
8
Let k = 26 - 0. Calculate the remainder when k*2 + 0*(-2)/(-6) is divided by (-3)/6 + (-3)/((-18)/33).
2
Suppose -4*o + 115 = -101. Let f = -55395 + 55407. What is the remainder when o is divided by f?
6
Suppose 358 = 36*k + 34. Let i(x) = 25*x - 107. What is the remainder when i(5) is divided by k?
0
Suppose 0 = 55*f - 53*f - 52. Suppose 0 = 5*z - 2*q - 113, 4*q + 37 = f*z - 25*z. Calculate the remainder when z is divided by 8.
5
Let u(v) = -78*v + 826. What is the remainder when u(7) is divided by 58?
48
Let v be (-7 - (-366)/54) + (-1312)/9. Let q = v + 174. What is the remainder when q is divided by 11?
6
What is the remainder when 463 + 42/(-12)*(-2 + 52/14) is divided by 154?
149
Calculate the remainder when (-4)/(-14) - (-1 + 8084/(-28)) is divided by 68.
18
Let b = -547 - -29957. What is the remainder when b is divided by 342?
340
Let r = 118 + -110. Suppose 2*k = 3*u + 81, -2*k + 86 = -r*u + 6*u. Let q(z) = 5*z**2 + 2*z + 1. What is the remainder when k is divided by q(-2)?
14
Suppose 3*o + 8*o = 198. Suppose 0 = -3*t + 1 - 1. Suppose t*f + 184 = 2*f + 2*l, -3*f + 272 = 2*l. Calculate the remainder when f is divided by o.
16
Let t(c) = c**2 + 17*c - 14. Let o be t(-18). Suppose -552 = o*k + 4*v, 3*v + 139 = -k + v. Calculate the remainder when 1/(2 + 273/k) is divided by 35.
32
Let c(b) = -1 - 2 - 4*b + 9 + 5*b - 3. Let w = -4 + 10. Calculate the remainder when 16 is divided by c(w).
7
Let o(f) = 23*f - 271. What is the remainder when 556 is divided by o(14)?
46
Let q = -2048 + 2102. What is the remainder when 1133 is divided by q?
53
Let t be 28/6*-3 + 0. Suppose -3*h = -2*h + 5 + 6, -4*d = -5*h - 259. What is the remainder when d is divided by (t/(-3))/((-2)/(-6))?
9
Suppose 3*f + 16 = 5*r, 5*f = -5*r + 4*f + 28. Suppose -3*c + 4 = 3*z - 26, r*c + z - 58 = 0. What is the remainder when 54 is divided by c?
6
Suppose 4*j - 2*q - 348 = 3084, -5*j = -q - 4296. Calculate the remainder when j is divided by 36.
32
Suppose 14*n = -9*n + 10350. Suppose 0 = -3*b - m + 343, -4*b - 2*m + n = 3*m. Calculate the remainder when b is divided by 58.
57
Let n(y) = 2*y**3 - 9*y + 14. Suppose -48*w = -58*w + 30. Let p(a) = 2*a**2 - 7*a. Calculate the remainder when n(w) is divided by p(5).
11
Let d = -19755 - -19857. Calculate the remainder when 677 is divided by d.
65
Let m be (-23)/((2 - 3)/2). Let w = m - 43. Suppose 3*g - 42 = -3*h, 4*g + 4*h - 23 = w*g. Calculate the remainder when 20 is divided by g.
9
What is the remainder when (17 - 49) + (285 - 11) is divided by (-185)/(-3) + 1/3?
56
Let k(f) = 4*f - 3. Let g be 3*(-2)/6 - -69*1. Let t be (g/51)/((-2)/(-9)). What is the remainder when 38 is divided by k(t)?
17
Let k = -30 - -32. Suppose -2*x + 4*x - 2 = k*z, 5*x = 4*z + 7. Suppose 1209 = z*v + 11*v. What is the remainder when v is divided by 16?
13
Let g(w) = w + 13. Let r be g(-10). Suppose -r*p + 8*p = 160. Calculate the remainder when p is divided by 156/(-182)*(-1)/3 + (-145)/(-7).
11
Let j = 248 + -47. Let t = j + -171. What is the remainder when 119 is divided by t?
29
Let q(n) = -5*n + 58. Let z = -1440 + 1484. What is the remainder when z is divided by q(9)?
5
What is the remainder when (1 - 2 - -7)/((-452)/(-27346)) is divided by 111?
30
Suppose -60*b = -15*b - 5635 - 2735. What is the remainder when 1468 is divided by b?
166
Suppose 30 = 2*q + 3*q. Suppose x - 19 = -4*v, 26 = 8*x - q*x + 2*v. Let s = 3 - -1. Calculate the remainder when x is divided by s.
3
Calculate the remainder when (-1 + 2903)/((-4)/(-3 - -1)) is divided by 290.
1
Suppose -4*o = 3*d - 5*o + 565, -5*o = -3*d - 557. Let p = -136 - d. What is the remainder when p is divided by 11?
9
Suppose 0 = -40*g + 1274 + 1046. What is the remainder when 190 is divided by g?
16
Suppose 0 = -16*d + 17*d - 8, 2*d + 74 = 3*x. What is the remainder when 395 is divided by x?
5
Let c(n) = n - 3. Let k = -36 + 39. Let d be c(k). Suppose d = -t + 5 + 10. Calculate the remainder when 87 is divided by t.
12
Let g(r) be the second derivative of -2/3*r**3 + 0 + 1/4*r**4 - 7/2*r**2 - 33*r + 1/20*r**5. Calculate the remainder when 33 is divided by g(-3).
3
Suppose 5*l + 2*k = 967, 5*k = -4*l + 658 + 136. What is the remainder when 1706 is divided by l?
178
Let l be (18/(-24))/1 + 245/(-4). Let c = l + 118. Calculate the remainder when c is divided by 19.
18
Suppose -3*t = 2*j - 2848 - 1315, -5*t - j = -6950. What is the remainder when t is divided by 24?
23
Suppose -2*s - 20*z + 102 = -23*z, -5*z = 2*s - 54. Calculate the remainder when s is divided by 28.
14
Suppose 27 = 32*j - 549. Let t(q) = 6*q**2 + 6*q - 1. What is the remainder when t(-3) is divided by j?
17
Suppose 36*r - 137*r = 83*r - 3680. Calculate the remainder when 182 is divided by r.
2
Suppose 0 = -32*x - 834242 + 834434. Suppose -s = -3 - 4. Calculate the remainder when s is divided by x.
1
Let o(k) = k**3 - 14*k**2 - 41*k + 174. Calculate the remainder when 131 is divided by o(16).
11
Suppose 29 = -2*m + 3*m. What is the remainder when -7*(-72)/3 - (3 - 3)/(-2) is divided by m?
23
Let l(j) = -j**2 + 168. Suppose 7 = -2*w - 25. Let o = -11 - w. What is the remainder when l(12) is divided by o?
4
Let y = -9477 + 9548. Calculate the remainder when y is divided by 69.
2
Let m(l) = l**3 + 41*l**2 + 177*l - 89. Suppose 0 = 2*o - 63 - 3. Calculate the remainder when o is divided by m(-36).
14
Let o(a) = -a**3 + 17*a**2 - 39*a - 17. What is the remainder when 91 is divided by o(14)?
16
Let j(t) = t**3 - 24*t**2 + t - 50. Let b(h) = h**3 - 24*h**2 + h - 51. Let r(a) = -4*b(a) + 3*j(a). Calculate the remainder when 177 is divided by r(24).
27
Let x be -3 - ((-9)/6 - 45/(-6)). Let t(c) = -20*c + 31. What is the remainder when t(x) is divided by 107?
104
Let f = -7586 + 7641. Calculate the remainder when 2
|
{
"pile_set_name": "DM Mathematics"
}
|
1/4. Let g = s - x. Sort 1, g, 5 in decreasing order.
5, 1, g
Suppose 35*u - 28 = 42*u. Sort 3, -5, 7, u in decreasing order.
7, 3, u, -5
Let r(i) = -2*i + 14. Let u be r(6). Sort u, -2/3, 0, -7.
-7, -2/3, 0, u
Let y be 4*(-2 - 15/(-6)). Let r = y - -1. Let g = -7 + r. Sort 4, g, 0 in increasing order.
g, 0, 4
Let m(s) = -s**2 - 5*s - 9. Let w be m(-2). Sort 0, w, -2/11 in increasing order.
w, -2/11, 0
Let q(l) = -l. Let b(u) = -u. Let c(f) = -b(f) + 6*q(f). Let d be c(1). Put 3, d, 1/3 in decreasing order.
3, 1/3, d
Let f = -108 + 105. Let a be 45/(-2)*(0 + 2). Let q be (-1)/(f*3/a). Put q, -2, -4 in ascending order.
q, -4, -2
Let p = -13 - -9. Suppose 5*m - 5 = -3*y, -7*y - 5*m + 10 = -3*y. Suppose -3*i + 4*i = 0. Sort i, p, y in descending order.
y, i, p
Let y = -75 - -74. Put y, -1/2, 0, -2 in descending order.
0, -1/2, y, -2
Let o(z) = -z. Let m(k) = 10*k**2 + 5*k - 1. Let d(v) = m(v) + 6*o(v). Let a be d(-1). Suppose 6*y - y = a. Sort y, 5, -5 in ascending order.
-5, y, 5
Let v be 3*-1 + (-40)/(-8). Suppose -16 = 2*f + v*f. Sort 3, 1, f.
f, 1, 3
Let q = -9 + 4. Sort q, 2/13, 3.
q, 2/13, 3
Let n = -14 + 10. Sort n, 2, -3 in ascending order.
n, -3, 2
Let b be (-10)/(-4)*(-42)/(-15). Sort 2, -1, b in descending order.
b, 2, -1
Let d be (-2)/(-12) + (-9)/54. Suppose t = -t - 6. Put d, t, 4 in increasing order.
t, d, 4
Let p = -135 + 119. Put 2, p, 4 in ascending order.
p, 2, 4
Let j = 12 - 10. Suppose -j*m + 7*m = -20. Sort -3, m, 5 in decreasing order.
5, -3, m
Suppose -30 = 8*o - 18*o. Put o, 0, -1, 4 in ascending order.
-1, 0, o, 4
Let k = -129/350 + -3/50. Sort -4, k, 0.5 in descending order.
0.5, k, -4
Suppose -2*l = -8 - 14. Let n be (0/l)/(0 + 2). Put n, 2, -4 in increasing order.
-4, n, 2
Let u be (-2)/(-7) + (3 - 111/21). Sort 1, u, 11 in descending order.
11, 1, u
Let x = -17 - -16.9. Put -4, x, -3 in decreasing order.
x, -3, -4
Let c(r) = -r**2 - 2 - 4*r + 0*r**2 + 0*r - 2. Let o be c(-6). Let s be 12/o + (-22)/(-8). Sort 3, -1, s in ascending order.
-1, s, 3
Suppose -v + 2 = -0*v. Suppose -36 = 4*j - 2*o - v*o, -4*o + 24 = -j. Let u be (-9)/6*(-8)/6. Put -3, j, u in increasing order.
j, -3, u
Let r = -57 + 57.56. Put -4, 2/9, r in ascending order.
-4, 2/9, r
Let n = -0.7 - 0.3. Let d = 508 - 511. Let t be (-1)/2*(-2)/(-3). Sort t, d, n in decreasing order.
t, n, d
Suppose m - 5*m = 8. Let o(l) = l**2 - 9*l + 8. Let j be o(8). Suppose -n - 2*k + 2 = 4*n, -2*n - 3*k - 8 = j. Sort n, m, -3 in ascending order.
-3, m, n
Let f = 40 - 39.6. Let r = 0 + 0.2. Let i = 0 - r. Sort f, 1/3, i in decreasing order.
f, 1/3, i
Suppose -21*q + 8*q + 65 = 0. Suppose -2*s = -2*u + 6, s + 13 = -3*u + 2. Let i = -9 + 4. Sort i, q, u in descending order.
q, u, i
Suppose -3*k = 8 + 7. Let i = 0 + k. Put 0, -3, i in decreasing order.
0, -3, i
Suppose 10 = 4*a - 2*v, -a - 4*a + 5*v + 25 = 0. Suppose 4*m - 4 = -h, 4*m + a*m = -4*h + 16. Sort -1, 2/7, h in ascending order.
-1, 2/7, h
Let y be 32/8 - 146/37. Sort -0.2, y, -0.5 in ascending order.
-0.5, -0.2, y
Let x be 1188/252 - (18/(-14) + 1). Sort 2, 1, x, 3 in ascending order.
1, 2, 3, x
Let g(t) = -t - 6. Let p be g(-4). Sort p, -3, -1 in ascending order.
-3, p, -1
Suppose 3*l - 19 = -m, 5*l + 3*m + 0*m - 29 = 0. Let c = -4 + l. Suppose -5 + 11 = 3*n. Sort n, c, -4.
-4, n, c
Let l(n) = -n**3 + 4*n**2 + 14*n - 8. Let z be l(6). Sort 3, z, 17 in increasing order.
3, z, 17
Let x(n) = -3*n + 5. Let s(j) = j**3 - 6*j**2 + 7*j - 4. Let p be s(5). Let k be x(p). Let f = 9 + k. Sort f, -1, 0 in increasing order.
f, -1, 0
Let m(b) = b**2 - 7*b + 9. Let t be m(4). Sort -2, 2, t in decreasing order.
2, -2, t
Let t be 2 + -4 + 12/7. Let s = 10 - 11. Let n be 2/4*4*-1. Put n, t, s in ascending order.
n, s, t
Let h(f) = -2*f - 3. Let r be h(-4). Let q = 11 + -16. Sort r, 2, q in increasing order.
q, 2, r
Let a be 2 - ((-24)/(-5))/2. Let s = 687.01 + -690. Let l = s - 0.01. Sort a, 1/6, l in descending order.
1/6, a, l
Suppose 17*n - 18*n = 0. Sort 1, n, 4.
n, 1, 4
Let g = 4 - 3. Let b be 7/(-4) + g/(-4). Let a be (b*1)/(16 - 1). Sort a, -3/7, 3 in descending order.
3, a, -3/7
Let r = 1 + -1. Let q = 197 + -199. Put r, 0.3, q in descending order.
0.3, r, q
Suppose 2*a = a + 1, 0 = -j + 2*a + 6. Put 0, j, -4 in decreasing order.
j, 0, -4
Suppose -5*y - 5*w = -1 - 39, -5*y + 30 = 3*w. Suppose -y*s + 5 = 20. Put 4, 3, s in decreasing order.
4, 3, s
Let z = 0.6 + 0.4. Let b = -3 + z. Let k = 2.4 + b. Put -0.4, k, 0.3 in decreasing order.
k, 0.3, -0.4
Let t = 5 - 6. Suppose 2*o = y, 5*y - 17 - 11 = -4*o. Let i = -1 - o. Put t, 3, i in decreasing order.
3, t, i
Let v(n) = -6*n**2 - n. Let s be v(-1). Put s, 1, -3 in increasing order.
s, -3, 1
Let n be ((-10)/4)/((-3)/(-6)). Put 4, -3, n in decreasing order.
4, -3, n
Let m = -2 - -6. Suppose 0 = j - m - 1. Put j, -4, 4 in ascending order.
-4, 4, j
Let i be ((-8)/(-10))/(4/(-20)). Put 0, i, 4 in ascending order.
i, 0, 4
Let t = -49 - -52. Put 12, -3, t in descending order.
12, t, -3
Let a be ((-6)/(-1))/(-12)*0. Suppose o + 5 = 2. Sort o, a, -2 in descending order.
a, -2, o
Let z be (-2 - -1)*(-2)/10. Let d = -47 - -939/20. Let c = z - d. Sort c, 0.4, 2 in ascending order.
c, 0.4, 2
Let t = -3.059 + 0.059. Sort 7, 0, -4, t in ascending order.
-4, t, 0, 7
Let p = 3 + -4. Let o = p - -0.5. Let i = o - -0.2. Sort 0.3, 2/11, i.
i, 2/11, 0.3
Let d be (-1*3 - 1)/(-2). Let m be (2/4*0)/d. Let g(v) = -3*v. Let j be g(1). Put -2, j, m in decreasing order.
m, -2, j
Let i(b) = -2*b - 4 - 2 + 3*b + 0. Let m be i(7). Sort 4, -3, m.
-3, m, 4
Let j = -57 - -56. Put j, 10, 0, 5 in decreasing order.
10, 5, 0, j
Let s be (0 - -4) + 0 + -8. Put -9, s, 2/3 in decreasing order.
2/3, s, -9
Let z = 0.05 + 2.95. Let y = 6 + -3. Suppose -7*m = -y*m. Sort z, -0.2, m.
-0.2, m, z
Suppose 6*o - 4*o - 8 = 0. Put 5, o, -4 in increasing order.
-4, o, 5
Let w = -0.8 - -1.8. Sort 5, w, 0.08.
0.08, w, 5
Let n(j) = -j**2 - 6*j - 2. Let a be n(-5). Let g be 4/(-48) - 4/6. Let p = -2 - -3. Sort p, a, g in descending order.
a, p, g
Let o = 0 - 0.03. Let h = 4.03 + o. Sort h, 0.1, 1/5 in descending order.
h, 1/5, 0.1
Let l(i) = -i**2 - 6*i + 6. Let z be l(-7). Sort 1, z, -4 in decreasing order.
1, z, -4
Suppose -7*j + 3*j - 12 = 0. Let f = 10 - 14. Let x = f + 7. Put j, -2, x in descending order.
x, -2, j
Let f = -44/3 - -15. Put f, -1, -0.1 in descending order.
f, -0.1, -1
Let f(n) = n**3 - 6*n**2 - 10*n + 9. Let k be f(7). Let s be (0 - -2)*(-6)/k. Let g be -1*s - (-3 - -1). Put -5, g, -4 in increasing order.
-5, -4, g
Let t(z) = z**3 - 7*z**2 + 6*z. Let r be t(6). Put r, -10, -4 in decreasing order.
r, -4, -10
Let g = -21 + 17. Sort g, -0.3, 0.1.
g, -0.3, 0.1
Suppose -5*c + 2*c - 18 = 0. Let t = 2 + c. Let f be ((-2)/(-4))/(1/t). Put -1/8, f, -2/5 in ascending order.
f, -2/5, -1/8
Suppose 0 = k - 3, 2*t = -4*k - k - 1. Let x = -11 - t. Let w be x/6 + (-7)/2. Sort -2, w, 5 in decreasing order.
5, -2, w
Let u be (-5 - -2) + 1 + 0. Let w(l) = l**3 - 3*l**2 - 3*l - 1. Let d be w(-2). Let b be d/(-6)*4/2. Sort 1, u, b in ascending order.
u, 1, b
Let v be ((-12)/24)/((-2)/8). Suppose 2*x = -x. Put x, -6, v in descending order.
v, x, -6
Let l = -5 - -2. Sort 5, 0, l.
l, 0, 5
Suppose -3*t = 0, 0 = b - 4*t + 3*t + 2. Suppose 0*s = -2*s + 2. Suppose -2*k - s = 7. Sort 2, b, k.
k, b, 2
Let y(r) = r**3 + 16*r**2 - 18*r - 13. Let s be y(-17). Put 0, 2, s in ascending order.
0, 2, s
Let f be ((-6)/(-6))/(2/(-3)). Sort 4, 2, 5, f in descending order.
5, 4, 2, f
Let i = -6 + 11. Let f be ((-18)/(-45))/(1/5). Let z be -2*-1*f/1. Sort 0, i, z.
0, z, i
Let u = 0.36 + -2.36. Let q = 44 + -29. Let i be q/12 + -1 + 0. Put 1/12, i, u in decreasing order.
i, 1/12, u
Let r be (-6)/8 + (-3)/12. Sort r, 2, -3.
-3, r, 2
Let b be (156/143)/(4/(-6)). Let f = b + 20/11. Sort 3, -4/9, f in descending order.
3, f, -4/9
Let n = 2 - 5. Let g(f) = -f**3 + 6*f**2 - 3*f - 6. Let s be g(5). Let h = s + -5. Sort 2, n, h in decreasing order.
2, h, n
Let z = 0 - 1. Put -5, -2, z in descending order.
z, -2, -5
Let p(x) = 2*x**2 + 8*x - 6. Let y be p(-5). Suppose -g = y*g. Sort 3, g, -3 in increasing order.
-3, g, 3
Let a be -13*(-6 + 3 - -1). Suppose 19 + a = -5*k. Let x = -14 - k. Sort x, 4/7, 0.1 in decreasing order.
4/7, 0.1, x
Let c be 1*(1 + -2
|
{
"pile_set_name": "DM Mathematics"
}
|
177, -237, -327, -453?
-h**3 + h - 117
What is the l'th term of 3, 6, 11, 18, 27?
l**2 + 2
What is the c'th term of 72, 118, 154, 174, 172, 142?
-c**3 + c**2 + 50*c + 22
What is the z'th term of 1325, 1320, 1315, 1310?
-5*z + 1330
What is the s'th term of 304, 456, 608?
152*s + 152
What is the d'th term of 95, 206, 403, 692, 1079?
d**3 + 37*d**2 - 7*d + 64
What is the q'th term of -168, -337, -506?
-169*q + 1
What is the y'th term of 160, 259, 416, 625, 880, 1175, 1504?
-y**3 + 35*y**2 + y + 125
What is the p'th term of 561, 564, 567, 570?
3*p + 558
What is the d'th term of -151, -213, -275, -337, -399, -461?
-62*d - 89
What is the l'th term of -58, -113, -170, -229, -290?
-l**2 - 52*l - 5
What is the p'th term of -470, -940, -1410, -1880?
-470*p
What is the a'th term of -21, -30, -45, -66, -93, -126?
-3*a**2 - 18
What is the p'th term of 131, 262, 393, 524?
131*p
What is the j'th term of 158, 192, 224, 254?
-j**2 + 37*j + 122
What is the g'th term of -34, -31, -26, -19, -10, 1?
g**2 - 35
What is the n'th term of -25, -11, -3, -7, -29, -75, -151?
-n**3 + 3*n**2 + 12*n - 39
What is the m'th term of -59, -84, -93, -92, -87, -84?
-m**3 + 14*m**2 - 60*m - 12
What is the k'th term of 16, 19, 30, 55, 100, 171?
k**3 - 2*k**2 + 2*k + 15
What is the f'th term of -160, -315, -468, -619, -768, -915?
f**2 - 158*f - 3
What is the j'th term of -40, -100, -164, -226, -280, -320?
j**3 - 8*j**2 - 43*j + 10
What is the z'th term of -249, -257, -269, -285?
-2*z**2 - 2*z - 245
What is the z'th term of 18, 19, 20, 21?
z + 17
What is the g'th term of 19, 30, 47, 70, 99, 134, 175?
3*g**2 + 2*g + 14
What is the c'th term of 691, 692, 693, 694?
c + 690
What is the h'th term of -1896, -3790, -5684?
-1894*h - 2
What is the u'th term of -6468, -12935, -19402, -25869?
-6467*u - 1
What is the o'th term of -736, -732, -726, -718, -708, -696, -682?
o**2 + o - 738
What is the u'th term of -15, -28, -67, -144, -271, -460, -723, -1072?
-2*u**3 - u**2 + 4*u - 16
What is the v'th term of -592, -610, -628?
-18*v - 574
What is the p'th term of 6884, 13767, 20650?
6883*p + 1
What is the c'th term of 80, 328, 740, 1316, 2056, 2960, 4028?
82*c**2 + 2*c - 4
What is the q'th term of 30, 42, 68, 114, 186?
q**3 + q**2 + 2*q + 26
What is the g'th term of -4937, -4935, -4931, -4925, -4917, -4907, -4895?
g**2 - g - 4937
What is the z'th term of -153, -167, -181?
-14*z - 139
What is the r'th term of 10, 26, 50, 82, 122, 170, 226?
4*r**2 + 4*r + 2
What is the f'th term of -804, -3221, -7250, -12891, -20144, -29009, -39486?
-806*f**2 + f + 1
What is the o'th term of -15, -68, -191, -414, -767?
-5*o**3 - 5*o**2 - 3*o - 2
What is the k'th term of -479, -954, -1429, -1904, -2379, -2854?
-475*k - 4
What is the m'th term of -5, -10, -17, -26?
-m**2 - 2*m - 2
What is the l'th term of 47, 246, 569, 1010, 1563, 2222, 2981, 3834?
-l**3 + 68*l**2 + 2*l - 22
What is the u'th term of 115, 181, 287, 433, 619?
20*u**2 + 6*u + 89
What is the q'th term of 127, 252, 377, 502?
125*q + 2
What is the w'th term of -95, -386, -873, -1556, -2435, -3510?
-98*w**2 + 3*w
What is the u'th term of -17, -34, -61, -98, -145?
-5*u**2 - 2*u - 10
What is the j'th term of -119, -252, -383, -512, -639, -764, -887?
j**2 - 136*j + 16
What is the y'th term of 284, 567, 850, 1133?
283*y + 1
What is the a'th term of -186, -719, -1606, -2847, -4442, -6391?
-177*a**2 - 2*a - 7
What is the k'th term of 2434, 2436, 2438?
2*k + 2432
What is the d'th term of 865, 864, 863?
-d + 866
What is the z'th term of -244, -1036, -2362, -4228, -6640, -9604?
-z**3 - 261*z**2 - 2*z + 20
What is the i'th term of 27, 17, -21, -99, -229, -423, -693?
-2*i**3 - 2*i**2 + 10*i + 21
What is the f'th term of -233, -479, -737, -1013, -1313, -1643?
-f**3 - 239*f + 7
What is the h'th term of 1342, 2683, 4026, 5371, 6718?
h**2 + 1338*h + 3
What is the i'th term of 55, 116, 177?
61*i - 6
What is the x'th term of -28, -48, -48, -22, 36, 132?
x**3 + 4*x**2 - 39*x + 6
What is the o'th term of -112, -244, -376?
-132*o + 20
What is the l'th term of 9, 20, 31, 36, 29, 4, -45, -124?
-l**3 + 6*l**2 + 4
What is the p'th term of 1027, 1028, 1029?
p + 1026
What is the o'th term of -2492, -4984, -7476, -9968?
-2492*o
What is the i'th term of -11, -51, -115, -203, -315?
-12*i**2 - 4*i + 5
What is the a'th term of 189, 186, 183, 180, 177, 174?
-3*a + 192
What is the b'th term of -13, -19, -39, -85, -169, -303?
-2*b**3 + 5*b**2 - 7*b - 9
What is the z'th term of 151, 304, 457, 610, 763?
153*z - 2
What is the m'th term of -395, -789, -1183, -1577?
-394*m - 1
What is the y'th term of 1073, 2144, 3217, 4292, 5369, 6448?
y**2 + 1068*y + 4
What is the n'th term of -174, -343, -514, -687, -862, -1039, -1218?
-n**2 - 166*n - 7
What is the y'th term of 138, 265, 392, 519, 646, 773?
127*y + 11
What is the f'th term of 51, 122, 191, 258?
-f**2 + 74*f - 22
What is the u'th term of -121, -117, -111, -103, -93, -81, -67?
u**2 + u - 123
What is the v'th term of 77, 123, 169, 215, 261?
46*v + 31
What is the t'th term of 34, 70, 104, 136, 166, 194, 220?
-t**2 + 39*t - 4
What is the t'th term of 138, 277, 414, 549, 682, 813?
-t**2 + 142*t - 3
What is the j'th term of 31, 64, 101, 142?
2*j**2 + 27*j + 2
What is the d'th term of 240, 234, 228?
-6*d + 246
What is the v'th term of -29, -125, -287, -515?
-33*v**2 + 3*v + 1
What is the f'th term of 59, 93, 113, 113, 87, 29?
-f**3 - f**2 + 44*f + 17
What is the l'th term of -51, -105, -167, -243, -339, -461, -615, -807?
-l**3 + 2*l**2 - 53*l + 1
What is the z'th term of 91, 181, 271, 361, 451, 541?
90*z + 1
What is the o'th term of 4, 15, 50, 121, 240?
2*o**3 - 3*o + 5
What is the o'th term of -652, -650, -648, -646, -644?
2*o - 654
What is the c'th term of -124, -303, -482?
-179*c + 55
What is the n'th term of 9, 23, 37, 51, 65?
14*n - 5
What is the u'th term of 3, 5, -1, -21, -61, -127, -225?
-u**3 + 2*u**2 + 3*u - 1
What is the p'th term of -116, -230, -344, -458, -572, -686?
-114*p - 2
What is the f'th term of -7, -17, -33, -55?
-3*f**2 - f - 3
What is the g'th term of -93, -187, -281, -375, -469, -563?
-94*g + 1
What is the v'th term of 7, 59, 157, 301, 491, 727, 1009?
23*v**2 - 17*v + 1
What is the r'th term of 11, 3, -5, -13, -21, -29?
-8*r + 19
What is the o'th term of 16641, 16643, 16645, 16647, 16649?
2*o + 16639
What is the g'th term of -336, -647, -968, -1305, -1664, -2051?
-g**3 + g**2 - 307*g - 29
What is the j'th term of -103, -94, -71, -28, 41, 142, 281?
j**3 + j**2 - j - 104
What is the o'th term of -1460, -1461, -1462, -1463, -1464, -1465?
-o - 1459
What is the u'th term of 100, 201, 302?
101*u - 1
What is the n'th term of 26, 44, 88, 170, 302, 496, 764, 1118?
2*n**3 + n**2 + n + 22
What is the j'th term of 41, 68, 95, 122?
27*j + 14
What is the i'th term of -73, -80, -99, -136, -197, -288, -415, -584?
-i**3 - 72
What is the h'th term of -1764, -1765, -1766, -1767?
-h - 1763
What is the v'th term of -2278, -2276, -2274, -2272, -2270?
2*v - 2280
What is the n'th term of 5532, 5533, 5534, 5535?
n + 5531
What is the a'th term of -31, -97, -195, -319, -463, -621?
a**3 - 22*a**2 - 7*a - 3
What is the p'th term of -25932, -25933, -25934, -25935, -25936?
-p - 25931
What is the j'th term of -58, -103, -148, -193, -238?
-45*j - 13
What is the q'th term of -21, -16, -9, 0, 11?
q**2 + 2*q - 24
What is the r'th term of 7, 144, 519, 1252, 2463, 4272?
20*r**3 - r**2 - 12
What is the g'th term of 6428, 6413, 6384, 6335, 6260, 6153?
-g**3 - g**2 - 5*g + 6435
What is the x'th term of 315, 333, 351, 369, 387, 405?
18*x + 297
What is the k'th term of -738, -737, -726, -699, -650, -573, -462, -311?
k**3 - k**2 - 3*k - 735
What is the w'th term of -111, -225, -351, -495, -663, -861, -1095, -1371?
-w**3 - 107*w - 3
What is the i'th term of 2180, 4361, 6542, 8723, 10904, 13085?
2181*i - 1
What is the w'th term of 11, 55, 133, 251, 415, 631, 905, 1243?
w**3 + 11*w**2 + 4*w - 5
What is the y'th term of 63, 270, 625, 1128, 1779, 2578, 3525?
74*y**2 - 15*y + 4
What is the b'th term of 40, 112, 248, 460, 760, 1160, 1672?
2*b**3 + 20*b**2 - 2*b + 20
What is the u'th term of 15, 9, 3, -3?
-6*u + 21
What is the p'th term of -23, -62, -175, -398, -767, -1318?
-6*p**3 - p**2 + 6*p - 22
What is the l'th term of -38, -28, -8, 28, 86?
l**3 - l**2 + 6*l - 44
What is t
|
{
"pile_set_name": "DM Mathematics"
}
|
+ sqrt(133) + sqrt(133)) - sqrt(133)*1*-4)/(sqrt(7) + sqrt(441)/sqrt(7) + -2*sqrt(112)).
sqrt(19)/2
Simplify (sqrt(2736)*-3 + sqrt(2736) + -2 - sqrt(2736) - (-4*sqrt(2736) + 0))**2 + 4.
-48*sqrt(19) + 2744
Simplify ((2*sqrt(6000) + sqrt(6000))/(sqrt(240)/sqrt(5) + sqrt(12)))**2.
500
Simplify (0 + (-1*(0 + sqrt(2299)) - 1*sqrt(2299)*-1 - (sqrt(2299) + -1 + 0 + sqrt(2299) - (sqrt(2299) + -1 + sqrt(2299) + 3 - sqrt(2299) - sqrt(2299)))))**2.
-132*sqrt(19) + 9205
Simplify ((-6*(2 + sqrt(1377)) + 3 + -5 + sqrt(1377)*-1 + -5)*-3)**2.
21546*sqrt(17) + 610506
Simplify (sqrt(42)/(2*sqrt(847)))/(sqrt(192) - -2*(sqrt(3) + sqrt(6)/sqrt(2))).
sqrt(2)/264
Simplify ((sqrt(26)/(sqrt(72)*5) + -4 + -1 + 3*sqrt(13))*3)**2.
-273*sqrt(13) + 130153/100
Simplify ((5 + sqrt(245))*3)**2 + (3*sqrt(45) - sqrt(20)/(-1*sqrt(4)))**2.
630*sqrt(5) + 2930
Simplify (-2*((1*sqrt(187) - sqrt(187)) + sqrt(187))*-4)/(sqrt(66)/sqrt(54) + sqrt(22)/(sqrt(32) - sqrt(2))).
12*sqrt(17)
Simplify -4*(3 + 5*(sqrt(2) - 2*(sqrt(2) + 1 + sqrt(2)) - (sqrt(2) - (sqrt(200)*-2)**2))).
-15972 + 80*sqrt(2)
Simplify (sqrt(120)/(sqrt(288)*3))/(sqrt(33)/(sqrt(11)*2)*-3).
-sqrt(5)/27
Simplify (-6*(sqrt(540) - -1*sqrt(540)))/(sqrt(36)/sqrt(3)*4).
-9*sqrt(5)
Simplify (-1 + sqrt(1539))**2 + 4 - ((sqrt(19) - (-1 + (3*sqrt(19))**2)) + 4).
-19*sqrt(19) + 1710
Simplify (sqrt(66) - -6*(sqrt(66) + sqrt(66)*5 - sqrt(66)))/sqrt(6) - ((sqrt(11) - (-2*sqrt(11) + sqrt(11) + 5 + sqrt(11)))**2 + -4).
-32 + 41*sqrt(11)
Simplify 3*(2 + -2*sqrt(5) - (sqrt(500) + 1)**2) + -5.
-1502 - 66*sqrt(5)
Simplify ((1*-2*sqrt(264) + sqrt(264))/sqrt(8))/(4*(sqrt(11) + (sqrt(44) + sqrt(11))*4)).
-sqrt(3)/52
Simplify 4*(1*sqrt(832)*1 + -1)**2.
-64*sqrt(13) + 3332
Simplify -4 + (-4 + 4 + sqrt(2299)*1*-6*-6)**2.
2979500
Simplify 5*(-1 + sqrt(475)) - 5*(-1 + sqrt(475)) - 6*(sqrt(475) - (sqrt(475) + 2 + sqrt(475) + 1*sqrt(475) + sqrt(475) - sqrt(475) - sqrt(475))**2).
210*sqrt(19) + 11424
Simplify -4 + ((sqrt(72) - (0 + sqrt(72))) + sqrt(18))**2 + (3 + sqrt(98) + 0 - (sqrt(98) + 0 + -4 + sqrt(98)))**2.
-98*sqrt(2) + 161
Simplify (5*(3 + sqrt(448)) + 0 + -2 + 1*sqrt(7))**2*-1.
-11936 - 1066*sqrt(7)
Simplify -6*-2*(sqrt(1584)*-4 + sqrt(11))*-4*-1.
-2256*sqrt(11)
Simplify (-6*sqrt(180)/sqrt(4) + (sqrt(45) - (2*sqrt(315))/sqrt(7)))/(sqrt(9) + 1*sqrt(1089) + sqrt(9) + (sqrt(900) - (sqrt(900) - (2*sqrt(900) + sqrt(900))))).
-7*sqrt(5)/43
Simplify (2 + sqrt(700) + 1 + -2 + -3 + 5)*1.
3 + 10*sqrt(7)
Simplify (1*sqrt(875) - sqrt(875))/sqrt(7) + (sqrt(45)/((-2*sqrt(9) - sqrt(9))*3))**2.
5/81
Simplify -1*sqrt(51)/sqrt(12)*-4*-3.
-6*sqrt(17)
Simplify -1*((0 + sqrt(176))**2 + ((sqrt(77) + -1*sqrt(77))/sqrt(7) - sqrt(11)))*1.
-176 + sqrt(11)
Simplify ((sqrt(432) + 1 + sqrt(144)/(sqrt(24)/sqrt(2)))*-2)**2.
112*sqrt(3) + 2356
Simplify (6*2*sqrt(209)*5)/(sqrt(11) - sqrt(132)/sqrt(108) - sqrt(121)/(sqrt(22)/sqrt(2) + sqrt(11))).
360*sqrt(19)
Simplify -5 + (3*(sqrt(88) - -2*sqrt(88)))/sqrt(2) + 1.
-4 + 18*sqrt(11)
Simplify -4*((sqrt(136) + -1*sqrt(136)*3 + sqrt(136))/(-6*sqrt(32)/sqrt(4)) + 0).
-2*sqrt(17)/3
Simplify (sqrt(57) - sqrt(228)/sqrt(4)*5)/(sqrt(108)/sqrt(4)) - (sqrt(608)/sqrt(2) + 1)**2*-6.
140*sqrt(19)/3 + 1830
Simplify ((sqrt(350) + -3*sqrt(350))/sqrt(10))/(sqrt(5)*-3*-6).
-sqrt(7)/9
Simplify -2 + ((1*sqrt(180) + sqrt(180))/sqrt(9))/(sqrt(10) + sqrt(10)*-2*5).
-2 - 2*sqrt(2)/9
Simplify 1*(2 + sqrt(10)/sqrt(5) + -2)*-4.
-4*sqrt(2)
Simplify (-6*(1 + -2*sqrt(605)))**2 - 6*(((sqrt(605) + 0)*1)**2 - sqrt(605)).
-1518*sqrt(5) + 83526
Simplify (sqrt(125)*1*3)**2 + (sqrt(125) - (sqrt(125) + -2 + sqrt(125)))*3.
-15*sqrt(5) + 1131
Simplify ((1*sqrt(77)*1 - (sqrt(77) - (1*sqrt(77) - sqrt(77))*6))/(((sqrt(11) - (sqrt(11) - sqrt(22)/sqrt(2))) + sqrt(11))*2 + sqrt(55)/(-2*sqrt(5))))**2.
0
Simplify ((sqrt(77) - 1*sqrt(77))*-6)/(2*sqrt(176))*5.
0
Simplify 4 + -4*((sqrt(108) + -1)*4)**2*-1.
-768*sqrt(3) + 6980
Simplify (3 + sqrt(1872) + -4)**2 - (-5 + sqrt(117)/(sqrt(9)*2))**2.
-19*sqrt(13) + 7379/4
Simplify ((-6*(sqrt(168) - sqrt(168)*-2))/sqrt(12))/(sqrt(14)/(sqrt(32)*-3 - sqrt(2))).
234*sqrt(2)
Simplify (3*sqrt(50)/(sqrt(250)*2))**2 + (sqrt(5) + -6*(sqrt(5) + -1)**2 - (sqrt(10)/(sqrt(2) + sqrt(2)*1))**2).
-184/5 + 13*sqrt(5)
Simplify ((-3*sqrt(750)*3)/(1*(sqrt(640) - (sqrt(640) - (sqrt(640)*-2 - sqrt(640))))))**2.
675/64
Simplify (sqrt(56) - sqrt(8064)*2)/(sqrt(8) + -2*sqrt(288)) - 4*(sqrt(448)*-1 + 0 + sqrt(448)).
23*sqrt(7)/11
Simplify (1*sqrt(825) - (sqrt(33) + -3*sqrt(33)*-2))/(2*(sqrt(3) + sqrt(3)*-1) - (-2*sqrt(24))/sqrt(8)).
-sqrt(11)
Simplify (6*-5*(5 + (sqrt(1100) - (2*sqrt(1100) + -5 - sqrt(1100))))*1)**2.
90000
Simplify -4*((sqrt(156) + sqrt(156)*-1 + sqrt(156) + sqrt(156))/sqrt(3))/(sqrt(4) + sqrt(48)/(sqrt(12)*1) - sqrt(4)).
-8*sqrt(13)
Simplify (3*sqrt(189)/(sqrt(9)/sqrt(3) + sqrt(3)))/(sqrt(108)/(-1*sqrt(48))).
-3*sqrt(7)
Simplify (sqrt(24)/(sqrt(8) - sqrt(128)*6) - ((sqrt(3)*1 + -1 - sqrt(3)) + sqrt(33)/sqrt(176)))**2.
-27*sqrt(3)/46 + 10651/8464
Simplify 5*(2*(5*(sqrt(110) - (sqrt(110)*-1 - sqrt(110))) - sqrt(110)))/((sqrt(360)*2 - sqrt(360))*3 + sqrt(360) + sqrt(360)).
14*sqrt(11)/3
Simplify (0 + (sqrt(2299) + sqrt(2299)*1 - sqrt(2299)) + sqrt(2299) + sqrt(2299)*1 + -5 + -2)**2 + 1.
-462*sqrt(19) + 20741
Simplify (((sqrt(42) - (sqrt(42) - (sqrt(42) - (sqrt(5082)*-1 + sqrt(5082))))) + 6*sqrt(126)/sqrt(3))/(sqrt(24)/(sqrt(4)*-1) + sqrt(216)*1 + sqrt(216)))**2.
343/121
Simplify ((3*1*sqrt(21))/(-4*sqrt(3)*2 + sqrt(3)))**2*-5.
-45/7
Simplify ((-2 + sqrt(243) + 1*sqrt(243))*4 + -3*1*sqrt(243)*-2)**2.
-2016*sqrt(3) + 47692
Simplify (sqrt(200) + 1 + 3 + 4)**2 + 2.
160*sqrt(2) + 266
Simplify ((sqrt(143)*-3*5 - sqrt(143)) + sqrt(143))/(sqrt(539)*-6).
5*sqrt(13)/14
Simplify 1 + -2*(0 + 0 + -1 + 1 + sqrt(272)).
-8*sqrt(17) + 1
Simplify ((sqrt(56)/(sqrt(8) + (sqrt(8) - sqrt(64)/sqrt(8))))**2 + (sqrt(49)/sqrt(7))**2*2)*4.
84
Simplify -5 + (-3 + 5 + -2 + sqrt(147)*-1*-5)**2.
3670
Simplify ((0 + sqrt(1377))*-6 + -4 + (sqrt(1377) - (sqrt(1377) + 0)) + 1)**2 + 5.
324*sqrt(17) + 49586
Simplify (sqrt(4235) + (-3*-1*sqrt(4235) - sqrt(4235)))/(sqrt(252)*-5).
-11*sqrt(5)/10
Simplify (1*sqrt(2940))/(sqrt(84)/sqrt(175)) + -3.
-3 + 35*sqrt(5)
Simplify -2 + ((sqrt(171))**2 + -3 + sqrt(19) + sqrt(684)*3)*1.
19*sqrt(19) + 166
Simplify 1*(sqrt(1300) + ((sqrt(1300)*-4)**2 - sqrt(1300))) + 2 + sqrt(1300) + 3.
10*sqrt(13) + 20805
Simplify -1 + (-3 + sqrt(8) + 5 + -1*sqrt(8) + sqrt(8))**2.
11 + 8*sqrt(2)
Simplify -5 + (6*2*sqrt(180))**2 - -1*((sqrt(180) + (-1 + sqrt(180) + sqrt(180))**2 - sqrt(180)) + 0).
-24*sqrt(5) + 26636
Simplify 0 + ((-4*sqrt(513))/(sqrt(75) + (sqrt(75) - (sqrt(75) - (sqrt(75) - (sqrt(75) + (-1*sqrt(75) - sqrt(75))))))))**2.
304/25
Simplify (sqrt(121)*-2*-5*4)/(1*sqrt(396)*-5).
-4*sqrt(11)/3
Simplify (-1*(-3*sqrt(28)/sqrt(4) + 0 + sqrt(343))*4 + -3)**2.
96*sqrt(7) + 1801
Simplify (-4*((sqrt(34) + (sqrt(34) - (sqrt(34) - sqrt(340)/(sqrt(10)*-2 + sqrt(10)))))/(sqrt(72) - (sqrt(72) - sqrt(72)*-1)) + 4))**2.
256
Simplify (sqrt(102) + 3*(sqrt(102) - sqrt(102)*1))/(sqrt(726)*1 + sqrt(726) + sqrt(726))*-1 + 5.
-sqrt(17)/33 + 5
Simplify (1 + sqrt(1584))**2 + sqrt(132)/sqrt(108) + (sqrt(88)/sqrt(144))/sqrt(2).
49*sqrt(11)/2 + 1585
Simplify 1 + -3*sqrt(272) + 2 + sqrt(272)*1 + -3 + 0.
-8*sqrt(17)
Simplify (((sqrt(448) - (sqrt(448) - (sqrt(448) + sqrt(448) + -2 + sqrt(448)))*5) + 5)*5*4)**2.
-352000*sqrt(7) + 21693200
Simplify ((6*1*sqrt(11))**2 - (1 + sqrt(1100) - sqrt(1100))) + 2 - 6*(-2 + (sqrt(1100)*2)**2).
-25991
Simplify (1 + (1*(sqrt(4617) + (sqrt(4617)*1 - sqrt(4617))))/((1*sqrt(294))/sqrt(2)))**2.
18*sqrt(19)/7 + 1588/49
Simplify sqrt(35)/((sqrt(147)/sqrt(3))/sqrt(7)) - 6*sqrt(20)/sqrt(4)*-1.
7*sqrt(5)
Simplify (4 + (3*sqrt(300))**2 - (sqrt(147) + (1 + sqrt(147) + 1 - sqrt(147)) + sqrt(147))**2)*6.
-336*sqrt(3) + 12672
Simplify ((-5 + sqrt(17) + 1 - sqrt(17) - ((sqrt(153)*2)/sqrt(9) - sqrt(17))) + 5 + -6*((sqrt(17) - sqrt(68)) + sqrt(17)))**2.
-2*sqrt(17) + 18
Simplify ((sqrt(486)*3)/sqrt(6))/(4*sqrt(270)/sqrt(10)).
3*sqrt(3)/4
Simplify sqrt(572)/(sqrt(33)/sqrt(48)) + 1.
1 + 8*sqrt(13)
Simplify (-1*sqrt(672))/(sqrt(486)*1 - sqrt(486) - sqrt(6)) + -4.
-4 + 4*sqrt(7)
Simplify -1 + 3 + ((sqrt(5) - (sqrt(5) - sqrt(3645))) + sqrt(35)/(sqrt(7)*-5))**2.
1
|
{
"pile_set_name": "DM Mathematics"
}
|
number?
True
Is 1900153 composite?
False
Is 838 a prime number?
False
Is 21313 a composite number?
False
Is 301447 composite?
False
Is 2227 prime?
False
Is 120421 prime?
False
Is 8997 composite?
True
Is 4043 prime?
False
Is 1552583 prime?
True
Is 271367 a composite number?
False
Is 1245758 a prime number?
False
Is 40559 composite?
False
Is 275105 a prime number?
False
Is 9023 composite?
True
Is 17567 composite?
True
Is 90578 composite?
True
Is 5065 composite?
True
Is 477409 composite?
False
Is 9019 a prime number?
False
Is 151273 a composite number?
False
Is 68755 a composite number?
True
Is 815 a prime number?
False
Is 2081 prime?
True
Is 246757 a prime number?
False
Is 2222653 a prime number?
True
Is 6143 composite?
False
Is 24355 prime?
False
Is 7243 prime?
True
Is 50639 composite?
True
Is 706709 a composite number?
False
Is 330821 composite?
False
Is 29483 a composite number?
False
Is 140977 a composite number?
False
Is 10369 a composite number?
False
Is 458499 composite?
True
Is 1385123 a composite number?
True
Is 974 a composite number?
True
Is 1819 prime?
False
Is 239667 composite?
True
Is 15901 a prime number?
True
Is 45143 composite?
True
Is 286607 a prime number?
False
Is 631 a composite number?
False
Is 10169 a prime number?
True
Is 869 a prime number?
False
Is 594359 a composite number?
False
Is 42433 composite?
False
Is 5143 composite?
True
Is 1397 a composite number?
True
Is 465271 a prime number?
True
Is 22759 a composite number?
True
Is 199889 composite?
False
Is 45119 prime?
True
Is 66545 prime?
False
Is 51131 a composite number?
False
Is 12889 a prime number?
True
Is 185947 composite?
False
Is 3349 composite?
True
Is 30539 composite?
False
Is 43346 a composite number?
True
Is 381481 a prime number?
True
Is 233171 composite?
True
Is 832705 composite?
True
Is 1493837 a prime number?
False
Is 5501 a prime number?
True
Is 162473 prime?
True
Is 868993 prime?
True
Is 252137 a composite number?
True
Is 117163 a composite number?
False
Is 1601 composite?
False
Is 75479 a composite number?
False
Is 431474 a prime number?
False
Is 410651 prime?
True
Is 3101 a composite number?
True
Is 504311 a composite number?
False
Is 122497 composite?
False
Is 12389 a prime number?
False
Is 55457 prime?
True
Is 23623 prime?
True
Is 1087 composite?
False
Is 2570921 a prime number?
True
Is 9227 a composite number?
False
Is 7438 a prime number?
False
Is 72035 a prime number?
False
Is 4535 a prime number?
False
Is 26747 composite?
True
Is 75883 a prime number?
True
Is 60953 a composite number?
False
Is 478889 composite?
True
Is 3683 a composite number?
True
Is 1295974 prime?
False
Is 27199 a composite number?
True
Is 11243 composite?
False
Is 99079 a prime number?
True
Is 556843 prime?
False
Is 699931 prime?
True
Is 11905 a composite number?
True
Is 18947 a composite number?
False
Is 20011 a composite number?
False
Is 152499 composite?
True
Is 787 prime?
True
Is 12811 composite?
True
Is 101037 a composite number?
True
Is 1211401 composite?
True
Is 97013 prime?
False
Is 149585 a prime number?
False
Is 73247 a prime number?
False
Is 135887 prime?
True
Is 2333 prime?
True
Is 75133 prime?
True
Is 28873 a composite number?
True
Is 812627 composite?
False
Is 820541 a composite number?
False
Is 22063 composite?
False
Is 428981 a prime number?
False
Is 427802 a composite number?
True
Is 2777 a composite number?
False
Is 1003 a prime number?
False
Is 64553 composite?
False
Is 72307 a composite number?
False
Is 60299 prime?
False
Is 4721 a composite number?
False
Is 4751 a composite number?
False
Is 387545 a composite number?
True
Is 24407 a prime number?
True
Is 38513 composite?
True
Is 469 a prime number?
False
Is 1477 composite?
True
Is 1499983 composite?
True
Is 40577 a prime number?
True
Is 34647 a prime number?
False
Is 68543 a composite number?
False
Is 28697 a composite number?
False
Is 4157399 a prime number?
True
Is 419231 composite?
False
Is 4541 a composite number?
True
Is 594023 composite?
False
Is 113 a composite number?
False
Is 12667 prime?
False
Is 33809 prime?
True
Is 1641 a composite number?
True
Is 608621 composite?
True
Is 14683 a prime number?
True
Is 2805047 composite?
True
Is 6683 a composite number?
True
Is 2051 a prime number?
False
Is 111778 composite?
True
Is 12389 a prime number?
False
Is 55351 a composite number?
False
Is 4627 a prime number?
False
Is 3787 composite?
True
Is 23159 prime?
True
Is 303959 composite?
False
Is 449 prime?
True
Is 2986 a prime number?
False
Is 20201 a composite number?
False
Is 15727 a prime number?
True
Is 2101 prime?
False
Is 61309 a prime number?
False
Is 4481 prime?
True
Is 11623 a prime number?
False
Is 52447 a prime number?
False
Is 11141 a prime number?
False
Is 47935 a composite number?
True
Is 59347 composite?
True
Is 14114 prime?
False
Is 60181 composite?
True
Is 10817 a prime number?
False
Is 459939 composite?
True
Is 31957 composite?
False
Is 353063 a prime number?
False
Is 14779 a composite number?
False
Is 319097 a composite number?
False
Is 68659 a composite number?
False
Is 86902 a prime number?
False
Is 7993 a prime number?
True
Is 109973 a composite number?
True
Is 29537 composite?
False
Is 43037 composite?
False
Is 20201 a composite number?
False
Is 127637 composite?
False
Is 12515 a prime number?
False
Is 4391 a prime number?
True
Is 581089 composite?
False
Is 7243 a prime number?
True
Is 166781 prime?
True
Is 1111 prime?
False
Is 2707 prime?
True
Is 5857 composite?
False
Is 9047 composite?
True
Is 150999 a composite number?
True
Is 27257 a prime number?
False
Is 22013 prime?
True
Is 80651 a composite number?
False
Is 3317 prime?
False
Is 78599 prime?
False
Is 731551 prime?
False
Is 7901 a prime number?
True
Is 268153 composite?
False
Is 535 a prime number?
False
Is 118661 prime?
True
Is 35561 composite?
True
Is 1777 a composite number?
False
Is 60247 a composite number?
True
Is 1755697 composite?
False
Is 8219 composite?
False
Is 107585 a composite number?
True
Is 316127 composite?
True
Is 6343277 a prime number?
True
Is 1901 a prime number?
True
Is 823855 a composite number?
True
Is 7822589 prime?
True
Is 19961 composite?
False
Is 17729 a prime number?
True
Is 39127 a composite number?
True
Is 5557 composite?
False
Is 5039 a composite number?
False
Is 2897 a prime number?
True
Is 104827 prime?
True
Is 66995 a prime number?
False
Is 4649 composite?
False
Is 1049 a composite number?
False
Is 1397 a composite number?
True
Is 2473 a composite number?
False
Is 4621 composite?
False
Is 6121 a prime number?
True
Is 62417 a prime number?
True
Is 222001 composite?
True
Is 83837 prime?
False
Is 3299 a composite number?
False
Is 67033 a composite number?
False
Is 87499 composite?
True
Is 16759 prime?
True
Is 1043 a prime number?
False
Is 9305 a prime number?
False
Is 208303 composite?
True
Is 104863 prime?
False
Is 402149 prime?
False
Is 29649 a prime number?
False
Is 631535 prime?
False
Is 83949 a prime number?
False
Is 56687 a prime number?
True
Is 14983 composite?
False
Is 484521 a composite number?
True
Is 15119 a prime number?
False
Is 94177 composite?
True
Is 422231 a composite number?
False
Is 255413 a prime number?
True
Is 7247 composite?
False
Is 143 a composite number?
True
Is 3593 prime?
True
Is 65057 composite?
True
Is 16871 prime?
True
Is 82385 prime?
False
Is 21451 composite?
True
Is 773407 a composite number?
False
Is 27733 a prime number?
True
Is 2129 a composite number?
False
Is 48973 composite?
False
Is 14051 composite?
False
Is 22141 prime?
False
Is 6449 composite?
False
Is 39019 prime?
True
Is 2954789 a composite number?
False
Is 2822707 composite?
False
Is 48221 a composite number?
False
Is 54751 composite?
False
Is 907 a prime number?
True
Is 424537 a prime number?
True
Is 10487 composite?
False
Is 331739 a prime number?
True
Is 39659 a composite number?
False
Is 42061 composite?
False
Is 75111 prime?
False
Is 7819 a composite number?
True
Is 42947 composite?
True
Is 6883 prime?
True
Is 85 prime?
False
Is 1372207 composite?
False
Is 40879 prime?
True
Is 10441 prime?
False
Is 55453 a prime number?
False
Is 467 a prime number?
True
Is 81281 a prime number?
True
Is 14969 a prime number?
True
Is 81386 composite?
True
Is 95 a prime number?
False
Is 269089 a prime number?
Tru
|
{
"pile_set_name": "DM Mathematics"
}
|
4*w**3 + (64 + 19 - 7)*(-54 + w + 54)*(-5*w + 3*w**2 + 5*w) in the form r*w**3 + v*w + c*w**2 + z and give r.
232
Rearrange -11*i**4 - 2*i**3 + 2*i**4 + 139 + 32*i**2 - 31*i**2 + i - i**4 - 138 to the form v*i + g*i**2 + t*i**4 + n*i**3 + w and give v.
1
Rearrange 0*i**2 + 5845 - 5842 + i**3 - 10*i + 2*i**2 - 3*i**2 to n + d*i + m*i**3 + w*i**2 and give w.
-1
Rearrange (4*c - c + 0*c)*(0*c - c + 0*c) + 5917*c**2 + 5923*c**2 + 5888*c**2 + 190*c - 17784*c**2 to the form m + n*c + o*c**2 and give o.
-59
Express -3814*u - 4967*u + 875*u + 1615*u as x + o*u and give o.
-6291
Express (-366*l + 4*l - 101*l + 24*l)*(-3*l - 734 + 734) as t*l + g + w*l**2 and give w.
1317
Express -3*p - 3 + 738*p**2 - 353*p**2 - 2 - 336*p**2 - 5 in the form j + y*p**2 + l*p and give l.
-3
Rearrange 8 + 7 - 9 - 113*p - 2 to z*p + f and give f.
4
Rearrange -3*x - 4 + 6 + x + (3 - 1 - 3 + (4 + 0 - 3)*(0 - 5 + 3))*(-110*x + 26*x - 56*x)*(1 + 0 - 3) to u*x + o and give o.
2
Express ((-3 - 4 + 5)*(u + 0 + 0) + u - 4*u + u + 0*u + 4*u - 5*u)*(-814*u**3 - 2235*u**3 - 92*u**3) as o*u**2 + p*u + s*u**3 + r + h*u**4 and give h.
15705
Express -p + 5461098 + 2*p**2 + p**3 - 5461115 - p in the form n*p + d*p**2 + l*p**3 + v and give l.
1
Rearrange (-2*z**2 + 5*z - 5*z)*(-2*z - 4*z + 44455205*z**2 - 44452240*z**2) to o*z**2 + v*z**4 + h + u*z + m*z**3 and give m.
12
Express (-1 + 1 + a)*(4 + 1 - 4) - 3*a + 0*a + 6*a - 2 + 2 + a + 3582*a + 288*a - 20112*a - 3583*a in the form i*a + z and give i.
-19820
Rearrange -6*d**4 - 33*d**3 - 2*d - d**2 + 10*d - 55*d**3 - 46*d**3 + 132*d**3 to the form m*d**2 + l*d + u*d**4 + f*d**3 + w and give f.
-2
Express ((-2*i - 3 + 3)*(1 - 1 - 1) + 2*i + 2*i - 2*i - 2*i + 0*i + i)*(-129*i + 56*i - 59*i + 1) in the form s*i + v + f*i**2 and give s.
3
Express -3840*v**2 + 7665*v**2 - 3828*v**2 - 283 as b*v + z + s*v**2 and give s.
-3
Rearrange -9*t + 0*t**4 + t**2 + 9*t + 2*t - 7*t**3 - 1 - 4*t**4 + 3*t**4 to the form p*t**4 + k*t + n*t**3 + v*t**2 + x and give n.
-7
Rearrange -6136*c + 4*c**4 + 3 - 3*c**2 + 6138*c - 5 - 27*c**2 to k + a*c**4 + j*c + z*c**2 + y*c**3 and give y.
0
Rearrange -46931*z**3 - 2 + 15643*z**3 + 71*z - z**2 + 15646*z**3 + 15640*z**3 to p*z + d*z**2 + q*z**3 + y and give p.
71
Express -l - 1 - 14*l - 6*l + 70*l**2 + 3 - 3 as k*l**2 + q*l + m and give m.
-1
Express (-3*p**2 + 6*p**2 - p**2)*(-95 - 344*p**2 - 358*p**2 + 704*p**2 + 5*p) as w + r*p**4 + j*p**3 + h*p**2 + x*p and give r.
4
Rearrange 6*y**3 + 85*y**3 + 13*y**3 + 29*y**2 + 2*y**3 - 29*y**2 + (0*y - y + 3*y)*(2*y**2 - y**2 - 3*y**2) to the form f*y + m + l*y**3 + x*y**2 and give l.
102
Express -4*b**3 + 4 + 42026*b**2 + 8*b**3 + 42015*b**2 - 84077*b**2 + 5*b**3 in the form c + o*b**3 + w*b**2 + z*b and give o.
9
Rearrange (4*n - 2*n + 3*n)*((-1 + 3 + 0)*(-2 - 2 + 2) - 2177 + 3220 + 12196 + 4919) to the form a*n + m and give a.
90770
Express 10 + 78*k - 2 - 7 - 17*k**2 - 31*k as l*k**2 + r*k + f and give f.
1
Express 3 - 15*m**3 + 13*m**3 + 41577*m**2 - 41523*m**2 as c*m**2 + y + b*m**3 + z*m and give y.
3
Rearrange 0 + 0 - 2*n - 3*n + 3*n + 4*n - n + 6*n + 3*n - 5*n + 0*n + 3*n + n + 2*n - 5*n + (-18 + 21*n + 18)*(-1 + 2 - 2) to t*n + k and give t.
-15
Rearrange -228*h + 76*h + 71*h - 4*h**3 + 74*h + 3*h - 10 + h**2 to s*h**2 + i*h + g*h**3 + j and give j.
-10
Rearrange ((-4*v**2 + v**2 + 5*v**2)*(-3*v + 3*v - 2*v) - v**3 - v**3 + 0*v**3)*(-834 - 750 + 1806 + 3*v) to i*v + z*v**3 + o*v**2 + x + m*v**4 and give z.
-1332
Express (-u**3 + 2*u**3 - 4*u**3)*(20 - 12 + 25 + 25)*(60*u + 9*u + 14*u) in the form h*u**4 + o*u + d*u**3 + i*u**2 + t and give h.
-14442
Express -84*y + 170*y - 363*y**3 - 54*y**3 - y**2 - 84*y - 2 in the form x*y + s + r*y**2 + c*y**3 and give c.
-417
Express (-195*r + 367*r + 786*r)*(3*r**3 + 19*r - r**3 + 2*r - 4*r**3) as y + n*r**3 + t*r**2 + f*r**4 + z*r and give f.
-1916
Express (66 + 993 + 848)*(-s + s + s) in the form x + u*s and give u.
1907
Express 16*r**3 + 0*r + 2778*r**2 - 17*r**3 - 2770*r**2 + 89 + 4*r - r as g + u*r + q*r**2 + v*r**3 and give q.
8
Express 13*g + 5*g - 31 + 37 + 78 - 3*g as c*g + z and give z.
84
Rearrange 1004*t**3 + 415*t - 413*t - 17*t**2 + 3 - 1005*t**3 to o*t**2 + u*t**3 + n*t + b and give o.
-17
Express -2207*j + 3121*j**3 + 3086*j**3 - 6205*j**3 in the form o + f*j + p*j**2 + v*j**3 and give f.
-2207
Express (2 - 2 + 5)*(-2 - 3 + 2)*(1 - i - 1)*(44 + 74 - 147) as y + u*i and give u.
-435
Express 9*w**2 + 128*w**3 - 6*w**2 + 315*w**3 + 748*w**3 - 2*w**2 in the form n*w + j + a*w**3 + m*w**2 and give m.
1
Rearrange 207*k + 169*k - 564*k + 774*k to z*k + v and give z.
586
Rearrange (-3*m - 4*m + 5*m)*(-3*m + 4*m - 2*m)*(26 - 528 + 39)*(2*m - 3*m - 6*m) to the form f*m + u*m**3 + n + h*m**2 and give f.
0
Express (38*b**3 - 24*b**2 - 38*b**3 - 2*b**4)*(1 - 106 - 136) as c*b + f*b**3 + m*b**4 + i*b**2 + q and give m.
482
Express (-6*v**2 + 2*v**2 + 3*v**2)*(-162462 + 162462 - 2657*v) as c*v**3 + w*v + f*v**2 + a and give c.
2657
Rearrange 0 - 104*c - 3 + 538*c + 3 + (2 - 2 + 2)*(0*c - c + 3*c) - 2*c + 0 + 0 - 42*c + 67*c + 254*c to the form h + i*c and give h.
0
Rearrange (-38*w - 39*w + 4*w)*(47 - 16 + 66) to the form y + i*w and give y.
0
Rearrange 26*o**2 - 519*o + 164*o - 474*o - 11*o**2 to b + c*o + v*o**2 and give v.
15
Rearrange (1 - 1 - 2)*(-3*c - 3*c + 4*c) + (0 + 0 + 2*c)*(6 - 5 + 0) - 7*c + 4 - 4 + (c - 3*c + 6*c)*(2 - 4 + 0) to the form x*c + f and give x.
-9
Express -1157*v - 316*v**4 - v**3 - 1 + 682*v**4 - 365*v**4 - v**2 as c*v + h*v**3 + l*v**4 + a + d*v**2 and give c.
-1157
Rearrange -10*p**4 - 7*p**3 - p**2 + 10*p - 173*p + 1 - 14*p**4 + 2*p**4 + 141*p to the form i*p + g*p**4 + f*p**2 + b*p**3 + v and give g.
-22
Express q**3 - 5471*q + 5 - 55*q**2 + 5471*q as g*q**2 + x*q**3 + i + u*q and give i.
5
Express -34*a - 3*a**2 - 22*a - 18*a + 73*a + 7*a**2 - 2887*a**3 in the form l*a**3 + w*a + o*a**2 + x and give o.
4
Express 1826*c + 2322*c - 569*c in the form g + n*c and give n.
3579
Express 3*t - 33*t**3 + 3739135*t**2 - 3739146*t**2 - 8 + 4 in the form o*t + g + p*t**2 + s*t**3 and give s.
-33
Express 137*r**2 + 183*r**2 - 18 + 34*r**2 + 19 + 382*r**2 as n*r + q*r**2 + w and give q.
736
Express -88 - 108 + 14573*x + 196 in the form d*x + c and give d.
14573
Rearrange 4017894*l - 4017894*l + 8*l**2 - 1679 to the form t + w*l + x*l**2 and give t.
-1679
Rearrange (14*d - 9*d - 4*d**2 + d**2)*(-1 + 11 - 7)*(-8*d + 12*d + 6*d + (d - 3*d + 3*d)*(0 + 1 + 0)) to x*d + a*d**2 + m*d**3 + b and give a.
165
Express 233 - 491 + 189*n + 258 as z*n + s and give z.
189
Express (-765 + 765 - 92*a)*(0 - 2 + 0)*(-3 + 0 + 5 - a)*(2*a - 2*a + 2*a**2) in the form t*a**3 + g*a**4 + q*a**2 + w + c*a and give g.
-368
Express (382*x + 38*x + 8*x + x - x - x + (-1 + 0 + 0)*(-3 + 2*x + 3) + 5*x + 3*x - 7*x)*(-3*x + 4 - 4 - 2) in the form p*x + k*x**2 + h and give k.
-1278
Express -29 - 48 + 330 - 5*m + 390 as r + n*m and give r.
643
Rearrange (-2362 - 2443 + 4921)*(3*w - 3*w - 2*w**4) to the form v*w + o*w**3 + g + p*w**2 + f*w**4 and give f.
-232
Rearrange -5493*w**2 - 21579*w + 10791*w + 10788*w to the form a + t*w**2 + z*w and give t.
-5493
Rearrange 0*z + 2*z - 4*z + (0 + 4 - 2 + (0 + 0 - 2)*(0 + 2 + 0) + 3 + 0 - 1 + 1 + 1 - 4)*(690 + 431*z - 690) to the form y + q*z and give q.
-864
Express 992*o - 72144 - 72143 + 144287 in the form p*o + i and give i.
0
Express (-56*h + 14*h**2 + 56*h)*(-4*h**2 + h**2 + 5*h**2) - 21811*h + 21811*h + 16*h**4 as f*h**3 + d*h + i*h**2 + m*h**4 + l and give f.
0
Express -59*j + 108*j + 140*j**2 - 55*j + 335*j**2 in the form g + v*j + b*j**2 and give b.
475
Rearrange 95954 - 273*y**3 - 95951 - 1686*y**3 to the form r*y + v + j*y**2 + h*y**3 and give h.
-1959
Rearrange (v**2 + 28*v**2 + 25*v**2 + (3*v + 0*v - v)*(14*v - 32*v + 15*v))*(-2 + 2 - 3*v)*(-1 - 1 + 4) to the form d*v + p*v**3 + c + n*v**2 and give p.
-288
Rearrange (-7 - 6 + 8)*(-7 + 2 - 4)*(-8 - 24 - 27 + (0 - 3 + 5)*(3 - 3 - 2))*(-o - o + 0*o) to v*o + c and give v.
5670
Express 25*i**2 + 12099*i - 1 - 24202*i + 12102*i + 4*i**3 in the form l*i**2 + c + o*i**3 + j*i and give c.
-1
Rearrange -3*m**4 - 2 - 439*m**2 + 836*m**2 + 8*m**3 - 391*m**2 + 30*m**3 to w*m + j*m**2 + h + x*m**4 + o*m**3 and give j.
6
Rearrange 2*v + 9*v**2 - 26*v
|
{
"pile_set_name": "DM Mathematics"
}
|
uppose -96*i - 45700344 - 5801016 = -336*i. Is i prime?
True
Let h = -6173 - -10944. Is h a composite number?
True
Suppose -139 = -3*r - 121. Is 20/r*1596/56 composite?
True
Suppose 2*q - 13*q = -33. Suppose 0 = 3*j - 5*a - 3193, -2*j - a = -q*a - 2122. Let r = j - 739. Is r a composite number?
False
Let l(c) = 0*c**3 + 10 - 5*c - 26*c - 13*c**2 - 25 - c**3. Let q be l(-10). Let n(i) = 5*i**2 - 27*i - 7. Is n(q) composite?
True
Let m(b) = 3*b**3 - 31*b**2 + 19*b + 15. Let z = 118 + -104. Is m(z) composite?
False
Let v(x) = 2 + 3*x**2 + 0 - 4*x**2 + 20*x**3. Suppose -27*k - 6 = -87. Is v(k) composite?
True
Let k(i) = i**3 - 71*i**2 + 4*i + 1331. Is k(72) composite?
False
Let s(k) = k**3 + 21*k**2 - 49*k + 241. Is s(-20) a prime number?
True
Let g(v) = 99*v**3 - 3*v**2 - v + 14. Is g(9) composite?
False
Let a(f) = -142*f - 120. Suppose -4*w = 4*v + 40, 0*w = -4*w - 3*v - 43. Is a(w) a composite number?
True
Suppose -56*m + 28*m - 42560 = 0. Let d = 5523 - m. Is d a composite number?
False
Suppose -z + 3*l = -3283, -3*z - 8*l = -5*l - 9873. Suppose 1217 = -4*x + 5*i + 14403, -z = -x + 5*i. Is x prime?
True
Suppose -5*j = -4*s + 68, -5*j = -0*s + s + 8. Let n(w) be the first derivative of 4*w**3/3 + 5*w**2 - 19*w - 3. Is n(s) a prime number?
True
Suppose -311097 = 15*r + 108273. Let c = 50525 + r. Is c a composite number?
False
Let a = 25995 - -12032. Is a a prime number?
False
Let m(p) = -90*p - 7. Let n be 8/28 + (-19)/(-7). Suppose -y - y = -4*x + 20, 0 = 5*y + n*x + 37. Is m(y) prime?
False
Is 1522/(-1 - 663/(-629)) composite?
True
Let g(n) = -13*n + 57. Let b be g(5). Is (-5)/(-60)*-3 - 51594/b a composite number?
False
Let v = 2396 + -983. Let t = v - 618. Suppose -5*g + 2*g = -t. Is g composite?
True
Let u = -324975 - -557057. Is u prime?
False
Let h be 1/(-7)*0/(-29). Suppose h = -2*c - 5*u + 41361, -2*c + 28528 = -u - 12863. Is c composite?
False
Let n = 261105 - 37438. Is n composite?
False
Suppose 4*u - 13*f - 179 = -14*f, -2*f - 194 = -4*u. Suppose -48*i = -u*i - 70598. Is i a composite number?
True
Suppose -t - 744 = 6*m - 11*m, -5*m = 0. Let g = 1774 + t. Suppose -5*n + 1030 = -5*z, 0 = 5*n - 3*z - z - g. Is n composite?
True
Let p be ((-144)/40)/(2*6/1160). Let f = 1117 + p. Is f prime?
True
Let y = 73632 - -29857. Is y prime?
False
Suppose 4*y = 4*o + 677916, -377453 - 130928 = -3*y - 4*o. Is y a composite number?
False
Let f(y) be the first derivative of 3*y**4/4 + 5*y**3/6 - 7*y**2/2 - 8*y - 32. Let c(n) be the first derivative of f(n). Is c(-6) composite?
True
Let i = 131 + -130. Is 23/(-115) + (i - (-35582)/10) a composite number?
False
Let p = 157 + -155. Is (-907)/((((-42)/15)/7)/p) a composite number?
True
Let k = 264926 - 132375. Is k composite?
True
Suppose -4*i = -2*i + 6. Is 3/15 - (i + 11676/(-20)) prime?
True
Let v(r) be the second derivative of -r**5/20 + 5*r**4/12 + 4*r**3 + 19*r**2/2 - 23*r. Is v(-12) composite?
False
Let c(w) = -182*w**3 + 5*w**2 + 12*w - 11. Let x be c(-11). Suppose -8*y = 3*y - x. Suppose y = q + 15*q. Is q prime?
False
Let b(i) = i**2 + 1. Let u be b(5). Let g = u + -27. Is 14/(-28) - (g - 225/2) composite?
False
Let n(t) = 181*t**2 - 77*t - 1351. Is n(-16) a prime number?
False
Let m = 108 - 77. Suppose -m*d = -45*d + 262402. Is d composite?
False
Let l = -35 - -38. Let t(m) = -4*m**3 - 4 - m**2 + 2*m**3 + 0 - 3*m - l. Is t(-6) a composite number?
True
Suppose 0 = -654*o + 678*o - 493656. Is o composite?
True
Let t(p) be the second derivative of -19*p**3/3 + 3*p**2/2 - 421*p. Let f(o) = -3*o + 4. Let g be f(4). Is t(g) a composite number?
False
Let l(u) = 53*u - 43*u - 1 + 71*u. Is l(8) prime?
True
Suppose -9*a - 14 = -32. Is (a + -3)*-4 - (-43318)/22 a composite number?
False
Suppose -50*r - 1758440 = -55*r + 2*w, -5*w = 5*r - 1758405. Is r prime?
False
Let j be (-7 - -8)/((-1)/(-15)). Let b be (j/(-4))/(8/192). Is (-36)/b - 136/(-10) a composite number?
True
Let z be (8/(-3))/((-14)/21). Suppose d + l + 19 = 5*l, l + 25 = -z*d. Let g(v) = 45*v**2 + 10*v + 18. Is g(d) a composite number?
False
Is -18 + (-3 - -20334) + (-10)/(-1) a composite number?
False
Suppose 21*p - 10*p - 43857 = 0. Suppose 5*y - p - 33878 = 0. Is y prime?
True
Let b = -756 - -1326. Suppose b = 54*m - 44*m. Is m a prime number?
False
Is 424205 - ((-16)/24)/(9/(-81)) prime?
True
Suppose -5*b + 23 = 2*l, 5*b - 2*l + 5 = 3*l. Suppose -b*f + 3*j = 924, 2*f + j = -0*j - 622. Let r = f - -603. Is r a prime number?
True
Suppose -2*s + 4*c - 5310 - 4278 = 0, 3*s - c = -14392. Let j = s + 2568. Is (6/(-4))/(15/j)*7 a composite number?
True
Let u(a) = 4*a + 44. Let q be u(-10). Suppose 8*k + 25739 = 5*l + 4*k, q*l + k = 20587. Is l prime?
True
Let n be 31156 + (1 - -3 - 2). Suppose 0 = -5*p - p - n. Let b = -3040 - p. Is b prime?
True
Suppose y + 3*y - 2*w = -70366, -17569 = y + 4*w. Let g = y - -32848. Is g prime?
True
Let b = -107 + 154. Let o = 50 - b. Is (-7014)/(-7)*1/o a prime number?
False
Let l be (-5637)/(-2) + (-6)/4. Suppose -13*s - 4*s - 28526 = 0. Let m = s + l. Is m a composite number?
True
Let y(a) = 1559*a**2 + 29*a - 85. Is y(-3) a prime number?
True
Suppose 3*b + 5*f = 7070, 2232 - 14037 = -5*b - 4*f. Let u = b - 1662. Is u a composite number?
True
Is -1 - -1 - (-161412 + 6 - -33) prime?
False
Suppose -4*z + 3*z = -4*k + 15, 0 = 2*k - 2*z - 12. Suppose n + 569 + 3486 = k*p, 2701 = 2*p - 3*n. Is (-2)/(-2) + 2*p composite?
True
Let g = 99 + 3. Let b be 34*(5 - -1)*g/8. Suppose 4427 = 4*n - b. Is n composite?
True
Let o = 695812 - 326021. Is o composite?
False
Let m = -2929 - -1717. Let j(o) = 19*o - 84. Let x be j(-23). Let k = x - m. Is k composite?
False
Suppose 76*o - 10*o + 156*o - 396509538 = 0. Is o a composite number?
False
Suppose 0 = -2*a + 6, 5*y + 5*a = y + 772987. Is y a prime number?
True
Suppose 5 = -2*f - 5, 5*r - 3*f = -25. Let o be r/(-10) - (-1)/5. Is 0 + 6163 - (o - 1)/3 prime?
True
Let c(s) = 160586*s**3 - 2*s**2 + 2*s - 1. Let v be c(1). Suppose 28*g - v = 4531. Is g composite?
False
Suppose -9 - 1 = -5*s. Suppose 16*m - 11*m = 4*w - 100, -56 = -s*w + 4*m. Suppose -1214 + w = -3*d. Is d a composite number?
True
Let c(q) = -47*q**3 + 19*q**2 + q + 45. Let i(r) = 23*r**3 - 10*r**2 - r - 23. Let u(b) = -4*c(b) - 7*i(b). Is u(5) a composite number?
False
Let d(y) = y - 5. Let b be d(0). Let u be (-18)/(-12)*-3371*(7 + -5). Is (b + 17/3)*u/(-2) a prime number?
True
Is (2/13 - (-17569734)/(-1014))/((-1)/2) composite?
True
Let v(n) be the second derivative of n**5/20 - 25*n**4/12 + 11*n**3/2 - 5*n**2/2 + n. Suppose -q + 2*s + 357 - 337 = 0, s = 2. Is v(q) a composite number?
False
Suppose -8*o + 100 + 132 = 0. Suppose -2*g + 11 = -o. Is 2*(-81850)/g*(-3)/5 prime?
False
Let a(i) = 13*i + i**2 + 22*i + 4 + i**3 - 30*i + 8*i**2. Is a(5) prime?
True
Let r(m) = -m**3 + 50*m**2 + 35*m - 88. Let o be r(37). Suppose 4*k = -b + 19004, 3*b = 4*k + 5*b - o. Is k composite?
False
Let s(p) = 7*p**3 - 25*p**2 + 10*p - 307. Is s(23) a prime number?
True
Suppose 4*w - t = -0*t + 46, 0 = w + 2*t - 7. Suppose -w*g - 918 = -5417. Is g prime?
True
Let a = -8295 - -15937. Suppose 42*b = 44*b - a. Is b a prime number?
True
Let r = -96873 - -150686. Is r prime?
True
Let j(n) = -1 + 3 + 0 + 1 + 436*n. Let u = -170 + 171. Is j(u) composite?
False
Let v(b) = -3639*b + 800. Is v(-23) prime?
False
Suppose 499*a + 484605 = 502*a - 3*n, 323068 = 2*a - 3*n. Is a a prime number?
False
Let x = 134544 - -77033. Is x a composite number?
True
Let h be (-220)/(-385)*((-21)/(-2))/(-3). Is 256 - -35 - (-3 + (-1 - h)) prime?
True
Let b be (6/(-1) - -246)*(-656)/(-6). Suppose 5*m = 143495 - b. Is m composite?
True
Let g(d) = 170*d - 139. Is g(19) a composite number?
True
Suppose -5*v + 0*k - 4*k + 42524 = 0, -4*v = -4*k - 34012. Let l = v - 1287. Is l composite?
True
Let q(w) = 93789*w + 1117. Is q(4) prime?
False
Suppose 8*b = 2*u + 13*b - 150138, -375387 = -5*u - 2*b. Is u a composite number?
False
Suppose f = -2*g - 0*f - 24, 0 = -4*g - 3*f - 46. Let a = g + 419. Suppose 3*m - a = -5*p, -3*m + 2*p + 300 = -71. Is m composite?
False
Suppose -88*g + 93*g = 10. Suppose -3*t + 0*t + 2094 = w, g*w - 2097 = -3*t. Is t a composite number?
True
Suppose -2 = -y, -a + 2*y + 0*y = -4. Suppose 4*f + 16 = z - 5*z, 5*f = 2*z + a. Suppose f = -21*r +
|
{
"pile_set_name": "DM Mathematics"
}
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.