text stringlengths 270 8.19k | meta dict |
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t g be (-1)/o + 10/6. Let u be m(g). What is the nearest to 2/5 in 1, -4, u?
1
Let n(h) = h**3 - h + 4. Let y(o) = o + 6. Let f be y(-6). Let p be n(f). Let x be (3/(-6))/((-4)/(-8)). Which is the nearest to x? (a) -2/15 (b) -2/5 (c) p
b
Suppose -2*o - 2*o = 40. Let a be (-3)/(-15) + (-4)/o. Let z = -288/35 - -39/5. What is the closest to -0.1 in 1, z, a?
z
Let l = 109/4 + -28. Which is the closest to 2/5? (a) 0.5 (b) l (c) -0.2
a
Let i = 56 - 54. Which is the closest to -1? (a) 0.1 (b) -5/4 (c) i
b
Let p = 0.21 + -0.01. Let g = -0.27 + p. Which is the closest to 0? (a) -3 (b) 1 (c) g
c
Let i = 24 - 14. Let k = -15 + i. Which is the closest to 2/7? (a) k (b) -2/5 (c) -0.3
c
Let g(t) = t**3 + 4*t**2 + 5*t - 3. Let i be g(-4). Let x = i + 70/3. Which is the nearest to 8? (a) -2/11 (b) x (c) -0.4
b
Let o = 3.08 + 1.02. Let v = -0.1 + o. Which is the nearest to -0.1? (a) -3/8 (b) -1/4 (c) v
b
Let m = 4.4 + -4. Let k = -17 + 9. Let z = -3 - k. Which is the nearest to 0? (a) m (b) 0 (c) z
b
Let t = 0.05 - -0.02. What is the nearest to -0.1 in -2, 2, t?
t
Let a = -8.7 + -1.3. Let b = 6.3 + a. Let p = -1.3 + b. What is the closest to 1/3 in -2/17, -3, p?
-2/17
Let o(y) = -y**2 - 8*y - 12. Let u be o(-6). What is the closest to -1 in u, 23, -0.5?
-0.5
Let m = 4 + -4.1. Let n(z) = -z**3 + 4*z**2 - 3*z + 2. Let w be n(3). What is the nearest to m in -0.4, 0.5, w?
-0.4
Let y = -13 - -13. Which is the closest to 4? (a) y (b) 1 (c) -3/8
b
Suppose 0 = -2*p - 6 - 8. Which is the nearest to 1/2? (a) p (b) -3/2 (c) 5
b
Suppose y = -2*y - 507. Let x = y - -2195/13. Let w = 2.3 + -0.3. Which is the nearest to -0.1? (a) 0.4 (b) x (c) w
b
Let i = -0.09 + -3.91. Let b = -1/209 + 634/1463. Let u = 0.5 + -0.6. What is the closest to u in -0.1, b, i?
-0.1
Let o be 20/32 + 6/(-8). Which is the nearest to -2/7? (a) o (b) 3 (c) -2/5
c
Let g = 29 + -32. Let a be (-1)/(-1)*(0 - 1). Let y be a + 0 + 78/66. What is the closest to 2/3 in 2, y, g?
y
Let x = -86 - -257/3. What is the nearest to 0 in x, -8, 0.3?
0.3
Let p = 0 - 0. Which is the nearest to 2? (a) p (b) 1 (c) -6/7
b
Let z = -0.6 + 1.2. Let h = -0.4 - z. Let v(t) = -t. Let r be v(-5). What is the closest to -1 in h, 0.1, r?
h
Let h be (-6)/(-12)*(0 + -1). Which is the nearest to 1? (a) -2/17 (b) h (c) -2/13
a
Let y = -106.5 + 106. What is the nearest to 0.1 in 0.5, y, -6?
0.5
Let o be (5/(-10))/(1/(-4)). Let v be (1/1 - 7)/(-1). Let n be ((-3)/v)/(1*o). What is the nearest to n in -4, 2/11, 0?
0
Let c = 69 + -66. What is the closest to -5/3 in -1, -3, c?
-1
Let j = 113/15 - 36/5. What is the nearest to 1/4 in 3, 0.08, j?
j
Let z be (-22)/(-12) - (-5)/30. Which is the closest to z? (a) -8 (b) 5 (c) 0.5
c
Suppose 0*z = 4*z + 5*t + 18, -4*t - 8 = 0. Let r = z - -4. Suppose -4*p - 8 = -r*p. Which is the closest to -2/5? (a) p (b) 2 (c) 0.1
c
Let b be 1*-3 + (-2 - -4). Let k = 2.93 + -0.13. Let o = -1.8 + k. What is the closest to o in -2/3, -1/6, b?
-1/6
Let x = 14.4 - 14. Which is the closest to 2? (a) 2 (b) x (c) 0
a
Let q = 0.2 - 1.3. Let g = 79 - 76.9. Let l = q + g. Which is the nearest to -1? (a) 2/11 (b) 0.3 (c) l
a
Let p = 2.94 - -0.06. Let f = -151 + 151.4. What is the nearest to 1 in -0.5, p, f?
f
Let d = -513/5 + 103. What is the nearest to d in -2, 3/7, 0.2?
3/7
Let h be (-2)/4 - 469/(-294). Let s = 649/1547 - -2/221. Let m = s - h. What is the nearest to 2 in -2/9, -5, m?
-2/9
Let t be (-3 + 3)/(1*2). Let v = t + 3. Let j = 5.36 + -5.86. Which is the closest to -1? (a) -2 (b) j (c) v
b
Let u = 0.8 + 0.2. Suppose -3*v - 11 = 2*h - 0*v, -2*h - 14 = 4*v. Which is the closest to h? (a) u (b) 0.4 (c) -2/15
c
Let t = 83.6 + -84. Which is the closest to -1/3? (a) t (b) 2 (c) 0.2
a
Let f be (-1)/2 - (-133)/14. Suppose 0 = f*y - 10*y. What is the nearest to y in 1, -2/3, -5?
-2/3
Let n = -975/88 + 126/11. Which is the closest to 0.2? (a) -4 (b) n (c) -5
b
Let i = -0.9 - -0.6. Let h be 1/4*(-24)/21. Let k = 23/4 + -123/20. Which is the closest to h? (a) i (b) k (c) -5
a
Let v = 194 + -189. Which is the closest to 0? (a) 2 (b) v (c) -23
a
Let j = 27.2 - 26. Let y = 0.1 - 0.3. Let m = j + y. What is the closest to 2 in -5, -2/17, m?
m
Let b be (1/8*-2)/(119/68). What is the nearest to 0.2 in 2, b, -0.4?
b
Let p = 360 + -8998/25. Let o be (4/(-10))/(9/270). Let j be (4*o/(-32))/6. Which is the nearest to 1/3? (a) j (b) -1 (c) p
a
Let t = -0.29 - -0.79. What is the closest to 0.1 in t, 0.1, -3?
0.1
Let k = -41.2 - -41. Which is the nearest to 2/7? (a) -1/4 (b) 0.1 (c) k
b
Let k = -2 - -3. Let w = -1 - -1.2. Which is the closest to w? (a) -0.2 (b) k (c) -2/9
a
Let g = 0.2 + -1.2. Let t = g + 1.5. Let k = 64/55 + -15/11. What is the nearest to -0.3 in k, 0.4, t?
k
Let i = -4.08 - 0.22. Let d = i + 4. Let k = 2 + -3. What is the nearest to 1 in k, -5, d?
d
Let g = -14 + 14.3. Which is the nearest to 0.1? (a) 0 (b) g (c) -3
a
Let c = -3.1 - -16.1. Let k = c - 2. Let u = 7 - k. What is the closest to -1 in 0.2, u, -1?
-1
Let f be -2 - (3 - (-40)/(-6)). Which is the closest to -0.1? (a) -3/4 (b) f (c) 0.4
c
Suppose 5*h - 28 = -2*q, 0 = 2*h + h - 12. What is the nearest to 1 in 7, -2/23, q?
-2/23
Let p be (-8)/14*1205/(-10). Let l = 69 - p. Let g = 0 + 0. Which is the closest to g? (a) -5/4 (b) l (c) 1
b
Suppose 5*m + 3*t + 11 = 0, -4 = 3*m + 4*t + 7. Let f = -0.9 + -0.1. Suppose -h + 3 = 2*h - 2*x, 4*h = 3*x + 4. What is the nearest to f in h, m, 4?
m
Suppose -i + 1 = 0, -7 = -3*l - 4*i + 6. Let x be 11/l + (2 - 5). What is the nearest to 1 in -4, x, -0.1?
x
Let h = -2.9 + 3. Let f be 6/9*3 + -5. Let d = 5.9 - 6. Which is the nearest to d? (a) h (b) -5 (c) f
a
Let n = 4.955 - -0.045. What is the nearest to -4 in 0.1, n, 0.5?
0.1
Let p = -0.02 - -0.02. Which is the closest to p? (a) -1/3 (b) 2/23 (c) -0.5
b
Let s = -0.04 + 0.14. What is the nearest to -2 in 2, s, -4?
-4
Let l = -0.1 + 0.4. Let h = l - 0.3. Let k be -6 + 1 + 2 + 4. What is the closest to k in 0.3, h, -5?
0.3
Let y be (-4)/(-18) - (-38)/(-90). Let q = -6.1 - -6.4. Which is the closest to 3? (a) y (b) 1/2 (c) q
b
Let c = 36.37 + 0.63. Let n = c - 38. Let o be 1/(2/(-8)*5). What is the closest to n in -2/9, o, 5?
o
Let g = -3.2 - -3. Let j be (0 + 4/(-12))*1. Let w = 0.2 + -0.7. Which is the nearest to j? (a) g (b) 0.3 (c) w
a
Let n = -19.98 - -20. Let u = n - 0.02. Which is the closest to 0.2? (a) 1 (b) u (c) 5
b
Let o be (-1)/(-3)*(-30)/(-45). What is the closest to -0.1 in o, -3, 0.3?
o
Let z = -5 - -5.4. Let q = -2 + 9. Let w = q + -7.1. Which is the closest to -1? (a) z (b) -5 (c) w
c
Let r = 3.7 + -3.5. What is the closest to -0.1 in -1, 0.1, r?
0.1
Let f = 2.99 + 0.01. Let b = f + -2.7. What is the closest to -2/7 in 1/4, 5, b?
1/4
Let v = 21 + -7. Suppose 2*x = 2*q + 3*x - 18, 0 = -2*q - 3*x + v. Suppose -5*d = -5 - q. Which is the nearest to 1? (a) 1 (b) -1/5 (c) d
a
Suppose 3*h + 12 = -t, 4 = t - h - 0. Which is the closest to 0.2? (a) t (b) 1 (c) -1/3
a
Let i = -20/21 + 2/3. Let m = 10.93 + -11. Let v = m - -3.07. What is the nearest to -1 in 2/3, i, v?
i
Let r = -0.46 + 0.06. Which is the nearest to -1? (a) 4 (b) 0.4 (c) r
c
Let r = 41/74 + -2/37. What is the nearest to -1/2 in 2, -0.3, r?
-0.3
Let i be (-8)/(-4) - 9/5. Suppose -3*w + 2 = -2*p, -5*p + w - 5 = -0*w. Which is the nearest to p? (a) 1 (b) 0.1 (c) i
b
Let r be (2 - -2)*1/6. Let u = -0.3 + 1.5. Let l = u + -1.5. Which is the nearest to r? (a) l (b) -2/7 (c) 3
b
Let i = -16 + 16.17. Let c = i - 2.37. Let o = c + 0.2. What is the closest to -1 in o, -0.3, 1?
-0.3
Let r = -0.114 + -0.086. What is the nearest to 3 in 1, 2/5, r?
1
Let h = -29 - -26.9. Let v = -0.1 - h. Which is the closest to -1? (a) -3 (b) 3 (c) v
a
Let i(w) = -w**3 + 9*w**2 + w - 13. Let u be i(9). What is the closest to u in 0, 0.1, 0.2?
0
Let t = 30.6 + -29. Let f = 1.9 - t. Which is the nearest to -0.1? (a) 0.1 (b) f (c) -3/7
a
Let c = -7 + 7.1. Let z = -4.09 - -0.09. What is the closest to -1/3 in -0.2, c, z?
-0.2
Let f = 0.62 - 0.52. What is the nearest to f in 0.1, 5, 3?
0.1
Suppose 0 = 2*d - 0*d - o, -o = 2*d + 4. Let f be 2/(-4) + 10/12. What is the closest to d in -0.2, f, 0.1?
-0.2
Let q | {
"pile_set_name": "DM Mathematics"
} |
c) - j(c)?
-2*c**3 + c**2 + 2*c
Let q(c) = -59*c - 3. Let l(k) = -29*k - 2. Determine -5*l(y) + 3*q(y).
-32*y + 1
Let h(l) = -l**2 + 16*l - 9. Let b(x) = -2*x**2 + 17*x - 11. Determine 3*b(p) - 4*h(p).
-2*p**2 - 13*p + 3
Let x = 1290 - 1293. Let k(b) = b**3 + b**2 + 3*b + 4. Let z(a) = -2*a**3 - 3*a**2 - 8*a - 12. Give x*z(p) - 8*k(p).
-2*p**3 + p**2 + 4
Let c(w) = w**3 + 3*w - 1. Let r be 24/(-18)*99/(-44). Let m(s) = -s**3 - 4*s + 2. Give r*c(y) + 2*m(y).
y**3 + y + 1
Let i(x) = -4*x - 4. Let j = -12 + 96. Suppose 2*g + 88 = j. Let k(l) = l + 1. What is g*i(a) - 6*k(a)?
2*a + 2
Let h(d) = -1 - 1 - 1 - 2*d + 7 - 7. Let z(g) = 5*g + 10. What is -11*h(o) - 4*z(o)?
2*o - 7
Let k(q) = -13*q - 4. Let h(v) = -20*v - 7. Let d(m) = 5*h(m) - 8*k(m). Let o(b) be the second derivative of -5*b**3/6 + 2*b**2 - 18*b. Give 4*d(j) + 3*o(j).
j
Let p(x) = 2*x**3 + 6*x**2 + 4*x - 4. Let s(i) = -2*i**3 - 5*i**2 - 3*i + 3. Let d(o) = -o**2 + 15*o - 44. Let u be d(10). Determine u*s(z) + 5*p(z).
-2*z**3 + 2*z - 2
Let z = -70 + 82. Let a(w) = 4*w**3 - 12*w**2. Let k = 29 + -30. Let g(j) = -j**2. What is k*a(r) + z*g(r)?
-4*r**3
Let v(d) = d. Let g(z) = z**2 - 11*z + 104. Calculate 2*g(j) + 22*v(j).
2*j**2 + 208
Let q(o) be the third derivative of -o**6/120 - o**4/24 - o**3/6 - 5*o**2 + 4*o. Let l(z) = 22*z**3 + 33*z + 33. Determine l(g) + 33*q(g).
-11*g**3
Let h(z) = 3. Let b(d) = 3*d + 33. Give -2*b(w) + 22*h(w).
-6*w
Let l(m) = -33*m**3 - 12*m**2 - 12*m. Let z be (-21 - 663/(-34)) + 42/(-4). Let u(n) = -13*n**3 - 5*n**2 - 5*n. Give z*u(v) + 5*l(v).
-9*v**3
Let t = 194 + -195. Let q(i) = i**2 + i + 1. Let b(o) = -5*o**2 - o - 6. Calculate t*b(h) - 4*q(h).
h**2 - 3*h + 2
Let b(k) = -3*k**3 + 7*k**2 + 3*k - 11. Let a(y) = -2*y**3 + 4*y**2 + 2*y - 6. Let h(p) = 5*a(p) - 3*b(p). Let u(x) = x**3 - 2. Determine -2*h(n) - 3*u(n).
-n**3 + 2*n**2 - 2*n
Let b(h) = h**2 + h + 1. Let r(x) = x**2 + 7*x + 7. Let v be r(-6). Let n(k) = 0 + 8 - 3*k - 3*k - 2*k**2 - 4*k**2 - 11. Calculate v*n(g) + 4*b(g).
-2*g**2 - 2*g + 1
Let k(x) = -16*x**3 - 5*x**2 - 5*x - 5. Let r = -30 + 22. Let s(u) = -24*u**3 - 8*u**2 - 8*u - 8. Determine r*k(p) + 5*s(p).
8*p**3
Let t(a) = -a**2 - 2. Let c(y) = 37*y**2 + 4*y - 14. Give -c(o) + 6*t(o).
-43*o**2 - 4*o + 2
Let x(m) = 39*m + 10 + 35*m - 118*m + 39*m + 4. Let s(w) = w - 3. What is 11*s(q) + 2*x(q)?
q - 5
Let y(w) = 5*w + 1 - 7*w + 3*w. Let l(j) = 0 - 2 - 4*j + 0 + 2*j. What is 3*l(t) + 5*y(t)?
-t - 1
Let w(y) = 9*y + 2. Let x(n) = -18*n - 4. Give 5*w(u) + 3*x(u).
-9*u - 2
Let f(h) = -7*h. Let c(d) = -6*d. Suppose s - z = 8, 0 = 5*s - 4*z - 36. Calculate s*f(m) - 5*c(m).
2*m
Let h(a) = -84*a + 13. Let p(o) = -21*o + 3. Give -2*h(m) + 9*p(m).
-21*m + 1
Let p(b) = -3. Let l be (1/2)/(30/(-60)). Let q(y) = y + 1. Determine l*p(r) - 2*q(r).
-2*r + 1
Suppose p + 20 = 6*p, 5*p - 29 = -3*l. Let s(h) = h. Let d(m) = 6*m + 1. Suppose 0 = 8*x + 448 - 440. Calculate l*s(a) + x*d(a).
-3*a - 1
Let z(s) = -5*s**2 - 9*s. Let j = 1175 - 645. Let h(u) = -3*u - 532*u**2 + j*u**2 + 0*u. Calculate -11*h(f) + 4*z(f).
2*f**2 - 3*f
Let x(j) = -242*j**2 - 5*j + 7. Let v(p) = p - 1. Determine -6*v(m) - x(m).
242*m**2 - m - 1
Let g(u) = -u**3 - 1. Let i(m) = 31*m**3 - 24*m**2 + 8*m + 41. Let l(n) = -10*n**3 + 9*n**2 - 3*n - 14. Let k(r) = 3*i(r) + 8*l(r). Calculate -66*g(f) - 6*k(f).
-12*f**3
Let r(a) be the first derivative of 5/2*a**2 - 3*a - 5. Let z(d) = 4*d - 3. Determine -5*r(f) + 6*z(f).
-f - 3
Let j(b) = 4*b**3 + 19*b**2 - 16*b - 40. Let r(u) = -u**3 - 6*u**2 + 5*u + 13. What is 6*j(a) + 19*r(a)?
5*a**3 - a + 7
Let h(c) = -69*c**3 + 5*c**2 + 5*c - 10. Let r(o) = 68*o**3 - 4*o**2 - 4*o + 9. Calculate -4*h(u) - 5*r(u).
-64*u**3 - 5
Let a(y) = 19*y**3 + 13*y**2 + 298*y + 13. Let z(r) = 9*r**3 + 6*r**2 + 147*r + 6. Give -6*a(v) + 13*z(v).
3*v**3 + 123*v
Suppose -368*g + 375*g = -21. Let n(s) = -6*s - 7. Let f(w) = w + 5. Let v(r) = 1. Let o(d) = -f(d) + 4*v(d). Give g*n(i) + 21*o(i).
-3*i
Let n(x) = -9*x**2 - 7*x - 6. Let q(v) be the first derivative of 8 - 8/3*v**3 - 5*v - 3*v**2. Determine -6*n(g) + 7*q(g).
-2*g**2 + 1
Let k(h) be the first derivative of -h**2/2 - 12. Let p(z) = 8*z. Let c(o) = 9*o. Let i(u) = -7*c(u) + 6*p(u). What is -2*i(w) + 33*k(w)?
-3*w
Let j(b) = 5*b**3 + 3. Let m(f) = -f**3 - 5*f**2 + f - 1. Let v(q) = -4*q**3 - 15*q**2 + 3*q - 2. Let d(u) = -3*m(u) + v(u). Give -2*d(l) + j(l).
7*l**3 + 1
Let j(t) = 4*t + 5. Suppose 15 = 4*c + 3. Suppose c*p + 2 = -2*h + h, -2*p - 4*h - 8 = 0. Let q(g) = 1 + 2*g + 2 + p. Calculate -3*j(z) + 5*q(z).
-2*z
Let s(g) = -g**3 + 2*g**2 - 2. Let y(i) be the first derivative of -i**3/3 + i - 76. Calculate 3*s(n) + 6*y(n).
-3*n**3
Let x be (-60)/(-75) + 4/(-5). Suppose x*s = 5*q + 3*s - 41, -4*s = 2*q - 8. Let l(v) = 2*v + 7. Let z(a) = -a - 3. Determine q*z(n) + 4*l(n).
-2*n - 2
Let r(k) = -5*k**3 - 6*k**2 - 4. Let p(q) = 9*q**3 + 11*q**2 + 7. Let w = -3 - -7. Suppose -26 = -4*l + l - m, -20 = -4*m. Determine l*r(g) + w*p(g).
g**3 + 2*g**2
Let x(v) = 153*v + 11. Let j(m) = 154*m + 13. Determine -5*j(d) + 6*x(d).
148*d + 1
Let s(c) = 3*c + 3 + 7*c**2 - 5*c**2 + c - 2*c. Suppose 4*q = -x - 17, 4*q - 2*x + 4 = 2. Let b(o) = 2*o**2 + o + 2. Determine q*b(t) + 2*s(t).
-2*t**2 + t
Let q(b) = -1243*b**3 - 5*b**2 + 5*b - 5. Let x(j) = -307643*j**3 - 1238*j**2 + 1238*j - 1238. Give 1238*q(o) - 5*x(o).
-619*o**3
Let z be -3*(0 - -2)*53/53. Let m(l) = -11*l + 8. Let i(y) = -10*y + 7. Give z*i(h) + 5*m(h).
5*h - 2
Let j = 160 + -154. Let w(b) = -2*b - 9. Let c(n) = 0 - 8 - 10 - 8 - 6*n. Calculate j*c(t) - 17*w(t).
-2*t - 3
Let f(l) = 6*l**2 - 3*l - 4. Let o(k) be the second derivative of -7*k**4/12 + k**3/2 + 5*k**2/2 - 155*k. Calculate 6*f(r) + 5*o(r).
r**2 - 3*r + 1
Let w(c) = 2. Let y(d) = -16*d + 7. Calculate -4*w(r) + y(r).
-16*r - 1
Let c = 465 + -462. Let v(b) = 2*b - 1 - 5*b + 2*b. Let m(r) = -2*r - 1. Give c*v(j) - m(j).
-j - 2
Let i(c) = -6*c**3 + 2*c**2 + 15*c - 4. Let j(z) = 17*z**3 - 5*z**2 - 44*z + 11. Calculate -8*i(m) - 3*j(m).
-3*m**3 - m**2 + 12*m - 1
Let b = -219 - -231. Let l(o) be the third derivative of 0 - 1/3*o**3 - b*o**2 + 5/24*o**4 + 0*o. Let w(i) = -3*i + 1. Calculate -4*l(g) - 7*w(g).
g + 1
Let g(z) = 524*z + 20. Let y(f) = 1048*f + 37. What is 11*g(r) - 6*y(r)?
-524*r - 2
Let g be (1 + -6)/((3 - -3)/6). Let k(x) = 4*x - 5. Let u(c) = 3*c - 4. Give g*k(i) + 6*u(i).
-2*i + 1
Let j(g) = 8*g - 20. Let d(c) be the first derivative of c**2 - 5*c - 62. Give -9*d(q) + 2*j(q).
-2*q + 5
Let r(l) = -5*l - 1 + 6 + l. Let c(p) = -5*p**2 + 10*p + 10. Let s be c(3). Let t(z) = 3*z - 5. Give s*r(o) - 6*t(o).
2*o + 5
Let b(n) = 12*n**3 - 10*n**2 - 5*n - 10. Let m(w) = 2*w**3 - 2*w**2 - w - 2. What is 2*b(j) - 11*m(j)?
2*j**3 + 2*j**2 + j + 2
Let m(s) = 7*s - 4*s - 3 - 8*s. Let a(n) = 3*n**3. Let b be a(-1). Let x be (-6)/(-8) + 280/(-32). Let o(v) = 14*v + 8. Determine b*o(d) + x*m(d).
-2*d
Let f(h) be the second derivative of 0 + 13*h + 1/2*h**2 - 1/6*h**3. Let k(t) = -t + 1 + 0*t + 1. What is -3*f(l) + k(l)?
2*l - 1
Let x(n) = 26*n**2 + 2*n - 3. Let p(i) = 29*i**2 + 3*i - 4. What is -5*p(y) + 6*x(y)?
11*y**2 - 3*y + 2
Let f(h) = -72*h**3 - 60*h - 60. Let a(m) = -9*m - 8. Let p be a(-1). Let s(q) = q**3 + q + 1. What is p*f(c) + 60*s(c)?
-12*c**3
Let h(o) = -o + 7. Suppose 84 = -5*w + 99. Let r(b) = b - 6. What is w*h(d) + 4*r(d)?
d - 3
Let r(h) = 3*h**2 - h - 1. Let o(z) = -z**3 + z**2 + z - 1. Suppose -1 = -7*p - 8. What is p*r(n) - o(n)?
n**3 - 4*n**2 + 2
Let k be (-69)/21 + 0 + 10/35. Let j(u) = -u**2 - 3*u. Let w(g) = -4*g**2 - 16*g. What is k*w(q) + 16*j(q)?
-4*q**2
Let h(u) = 23*u**2 + u + 2. Let l be h(-1). Suppose 26*v + l = 34*v. Let n(x) = 6*x**3 + 4*x. Let t(a) = 5*a**3 + 4*a. Calculate v*n(p) - 4*t(p).
-2*p**3 - 4*p
Let j(x) = 7*x**3 - 4*x**2 - 6*x. Let l(g) = 6*g**3 - 3*g**2 - 5*g. Let q(v) = v**2 - 10*v + 20. Let y be q(4). What is y*l(k) + 3*j(k)?
-3*k**3 + 2*k
Let g(m) = -166*m**3 - 33*m**2 + 11*m - 26. Let r(f) = 33*f**3 + 6*f**2 - 2*f + 5. What is 2*g(n) + 11*r(n)?
31*n**3 + 3
Let q(a) = -6*a - 464. Let j(i) = -i - 93. Calculate -11*j(u) + 2*q(u).
-u + 95
Let d(m) = 2*m**3 + 1 - 2261*m**2 - 4*m**3 - 2*m**3 + 3*m**3 + 2260*m**2. Let z(p) = 6*p**3 + 3*p**2 - p - 2. Give -3*d(t) - z(t).
-3*t**3 | {
"pile_set_name": "DM Mathematics"
} |
1090
How many months are there in seventeen sixths of a millennium?
34000
What is 45/2 of a hour in seconds?
81000
What is 19/4 of a millisecond in microseconds?
4750
What is 6117.1971 days in weeks?
873.8853
How many millilitres are there in three fifths of a litre?
600
What is 3/50 of a meter in centimeters?
6
How many millilitres are there in 3/8 of a litre?
375
How many millilitres are there in 1/5 of a litre?
200
How many nanoseconds are there in 1/10 of a microsecond?
100
How many kilograms are there in twenty-one halves of a tonne?
10500
What is eleven halves of a decade in months?
660
How many millilitres are there in 17/4 of a litre?
4250
How many millimeters are there in 1/10 of a centimeter?
1
How many hours are there in 7644683.7 nanoseconds?
0.00000212352325
How many kilograms are there in 5/4 of a tonne?
1250
Convert 7029.161 decades to millennia.
70.29161
What is twenty-six sevenths of a week in hours?
624
How many milliseconds are there in 52.00517 hours?
187218612
Convert 3.01308 millennia to months.
36156.96
How many tonnes are there in 2.008452ng?
0.000000000000002008452
How many nanograms are there in 13/4 of a microgram?
3250
Convert 743.208 millilitres to litres.
0.743208
What is 87.54966l in millilitres?
87549.66
How many grams are there in 3/5 of a kilogram?
600
How many centuries are there in 6/5 of a millennium?
12
What is 7/4 of a century in years?
175
What is 5/8 of a century in months?
750
How many milligrams are there in one tenth of a gram?
100
How many microseconds are there in 267.6339s?
267633900
Convert 39.83541 weeks to microseconds.
24092455968000
How many millimeters are there in twenty-seven halves of a meter?
13500
What is 88.46236 micrograms in tonnes?
0.00000000008846236
Convert 12480.84ml to litres.
12.48084
How many millilitres are there in 36.85668l?
36856.68
How many milligrams are there in 509743.4g?
509743400
How many micrograms are there in 7/2 of a milligram?
3500
How many millilitres are there in 360031.2l?
360031200
What is 0.8047299 weeks in microseconds?
486700643520
How many grams are there in 23/8 of a kilogram?
2875
What is 17857.8 months in centuries?
14.8815
Convert 88.23451 micrometers to millimeters.
0.08823451
How many micrometers are there in 1/4 of a millimeter?
250
What is 548444.6l in millilitres?
548444600
How many nanometers are there in six fifths of a micrometer?
1200
How many nanometers are there in 611.72 kilometers?
611720000000000
Convert 0.8046013 litres to millilitres.
804.6013
What is 31032.06 decades in centuries?
3103.206
What is 49/4 of a year in months?
147
How many seconds are there in 2/21 of a week?
57600
Convert 138086.2 centimeters to nanometers.
1380862000000
What is 1/5 of a century in months?
240
How many micrograms are there in 1/5 of a milligram?
200
How many millilitres are there in 5/4 of a litre?
1250
How many grams are there in 7.288894mg?
0.007288894
What is 5/4 of a kilometer in meters?
1250
How many seconds are there in 1/15 of a hour?
240
How many months are there in 58/3 of a year?
232
Convert 0.4526276 minutes to milliseconds.
27157.656
What is 3446349.9 hours in weeks?
20513.9875
Convert 2.7679641 months to centuries.
0.00230663675
What is 70.10858mg in kilograms?
0.00007010858
What is 6812.806kg in milligrams?
6812806000
How many meters are there in five quarters of a kilometer?
1250
What is 54.59774 litres in millilitres?
54597.74
What is 1/4 of a meter in millimeters?
250
Convert 4096.851 months to years.
341.40425
Convert 7047.657 kilometers to millimeters.
7047657000
What is 13976.01 months in years?
1164.6675
How many milliseconds are there in 0.6657554 days?
57521266.56
What is 5.132976l in millilitres?
5132.976
How many hours are there in 1/6 of a day?
4
How many months are there in 21/2 of a century?
12600
Convert 40860.5 millilitres to litres.
40.8605
What is 11/2 of a century in years?
550
How many micrometers are there in fifteen quarters of a centimeter?
37500
How many nanometers are there in 925264.6cm?
9252646000000
What is 49/5 of a litre in millilitres?
9800
What is nineteen quarters of a gram in milligrams?
4750
How many months are there in thirteen eighths of a decade?
195
Convert 91035.2 seconds to milliseconds.
91035200
How many minutes are there in 11/4 of a week?
27720
What is 11/8 of a microgram in nanograms?
1375
How many grams are there in one twentieth of a kilogram?
50
How many kilograms are there in 76.41617ng?
0.00000000007641617
How many months are there in 7.668261 years?
92.019132
What is one fifth of a millennium in centuries?
2
What is 19/4 of a litre in millilitres?
4750
What is thirteen fifths of a gram in milligrams?
2600
What is 287.589 minutes in microseconds?
17255340000
How many centimeters are there in 12/25 of a kilometer?
48000
Convert 983753.5nm to meters.
0.0009837535
What is 1/16 of a millennium in months?
750
How many decades are there in three fifths of a century?
6
How many months are there in 1/4 of a decade?
30
How many months are there in 5961.552 years?
71538.624
How many meters are there in 712215.4 nanometers?
0.0007122154
How many microseconds are there in 55/2 of a millisecond?
27500
How many minutes are there in four thirds of a week?
13440
How many nanograms are there in 0.6164304g?
616430400
How many meters are there in 73656.93 micrometers?
0.07365693
How many nanoseconds are there in thirty-two fifths of a microsecond?
6400
What is twenty-one fifths of a litre in millilitres?
4200
How many millimeters are there in 0.7919863 micrometers?
0.0007919863
What is 49/4 of a hour in minutes?
735
Convert 351158.3 years to millennia.
351.1583
What is 0.2426601 hours in microseconds?
873576360
What is 29.44879 minutes in milliseconds?
1766927.4
How many microseconds are there in 12/25 of a millisecond?
480
What is 0.8258712 months in years?
0.0688226
What is 1/4 of a litre in millilitres?
250
Convert 6.580543kg to tonnes.
0.006580543
What is 0.7642246 tonnes in grams?
764224.6
What is 7/2 of a litre in millilitres?
3500
How many microseconds are there in five eighths of a millisecond?
625
How many milligrams are there in 62.38475g?
62384.75
What is 10/3 of a week in minutes?
33600
How many seconds are there in five sixths of a minute?
50
What is 3/25 of a litre in millilitres?
120
How many years are there in 1/5 of a decade?
2
What is twenty-six fifths of a millennium in years?
5200
Convert 3.530863 hours to milliseconds.
12711106.8
What is 24037.22nm in centimeters?
0.002403722
How many meters are there in 6/5 of a kilometer?
1200
Convert 101.7124 minutes to seconds.
6102.744
What is 29/2 of a decade in years?
145
What is 21/5 of a tonne in kilograms?
4200
How many months are there in 4894.84 years?
58738.08
What is 63027.75 nanometers in millimeters?
0.06302775
How many millilitres are there in 11/2 of a litre?
5500
How many meters are there in 966.9442nm?
0.0000009669442
What is 2.641766ml in litres?
0.002641766
What is 5/4 of a meter in millimeters?
1250
What is three eighths of a gram in milligrams?
375
Convert 91676.31um to meters.
0.09167631
What is 7.669138 micrograms in tonnes?
0.000000000007669138
How many centuries are there in 7.929159 millennia?
79.29159
How many seconds are there in 1/9 of a day?
9600
How many centimeters are there in nine tenths of a meter?
90
What is 3/32 of a millimeter in nanometers?
93750
How many millilitres are there in 1/4 of a litre?
250
How many nanoseconds are there in 0.1657353 seconds?
165735300
Convert 289.20717 months to decades.
2.41005975
How many years are there in 5/4 of a millennium?
1250
How many decades are there in 3/5 of a millennium?
60
How many seconds are there in 5/4 of a hour?
4500
Convert 7.478421 nanograms to micrograms.
0.007478421
Convert 6.794634 years to months.
81.535608
How many kilometers are there in 589.95 nanometers?
0.00000000058995
How many years are there in one tenth of a millennium?
100
What is four fifteenths of a week in minutes?
2688
What is 58/3 of a century in months?
23200
How many millennia are there in 840215.4 decades?
8402.154
What is 1/4 of a microsecond in nanoseconds?
250
What is 57129.02 seconds in nanoseconds?
57129020000000
What is 3/8 of a milligram in micrograms?
375
Convert 1.020308l to milli | {
"pile_set_name": "DM Mathematics"
} |
13*s**3 to the form q*s + h*s**2 + g + z*s**3 and give z.
33
Rearrange (-43*z**2 - 42*z**2 + 36*z**2)*(-7*z + 417 - 213 - 211) to the form v*z + h + i*z**2 + y*z**3 and give y.
343
Express -71*q - 2*q**2 + 27*q**3 - 57*q + 130*q in the form n + z*q**3 + p*q + i*q**2 and give z.
27
Express (-4*o + 6*o + 3*o)*(-o**2 + 2*o**2 - 3*o**2) + 47*o**3 + 38*o**3 - 28*o**3 as q*o + f*o**2 + m + z*o**3 and give z.
47
Express -6*y**3 - 35*y - 31*y - 1 - 35*y - 28*y + 125*y + 2*y**4 as m*y**2 + z*y + k*y**3 + d*y**4 + q and give d.
2
Express (0 - 2 + 3)*(a + a + 0*a)*(2*a - 2*a - 3*a) + (3 + 0 + 0)*(-3*a**2 + 9 - 9) in the form w + s*a**2 + m*a and give s.
-15
Rearrange (-3*c + 4*c - 4*c - 2*c**2)*(-68 - 45 + 11) to the form z*c + g + q*c**2 and give q.
204
Express -4*b + b + b + (0*b + b + b)*(6 - 4 - 3) - 2 - b + 2 - 1 + 1 + 2 - 2*b + 11*b - 2*b + 9*b as z*b + a and give a.
2
Express (-221 + 103 + 111)*(2*p + 6*p - 10*p) as s + g*p and give g.
14
Express 115*v - 283*v + 9204 - 9204 in the form u + t*v and give t.
-168
Express 4 + 1 + 8*r + 0 + 3*r**2 - 8*r as a + v*r + d*r**2 and give d.
3
Express (8*d - 4 + 4)*(-d + 2*d + d + (-3 - d + 3)*(-4 - 1 + 3) + (2 - 1 - 2)*(0*d - 4*d - 13*d)) in the form w + v*d + k*d**2 and give k.
168
Rearrange (-3 + 3 + j)*(1 - 2*j - j + 4*j + (4*j - j - 5*j)*(115 - 277 + 130)) to n*j + p + u*j**2 and give u.
65
Rearrange (0*s**2 + 5*s**2 - 3*s**2)*(s + 0*s - 2*s) + (-5*s**3 + 2*s**3 - s**3)*(-102 + 35 - 29) to f*s**2 + n + y*s**3 + r*s and give y.
382
Rearrange -6*s**2 - 12*s + 21*s - 2 - 10*s to the form f*s**2 + a*s + o and give f.
-6
Express ((1 - 2 - 1)*(0 + 0 + 1) - 15 - 1 + 1)*(292*r**2 + 13*r**4 - 292*r**2) in the form t*r**3 + u*r + l*r**2 + n + j*r**4 and give j.
-221
Express 2*w**3 - 4*w + 13*w**2 - 1 + 3*w - 16*w**2 + 12 in the form k*w**2 + d + n*w + y*w**3 and give d.
11
Rearrange (0*c + 2*c - 3*c + (1 + 0 + 0)*(-3*c - 4*c + 2*c))*(51*c + 70*c**2 + 30*c**2 - 52*c) to the form a*c + g + v*c**2 + p*c**3 and give v.
6
Express 6 - 783*c - 6 + 898*c as o*c + j and give o.
115
Express (2 - 2*s - 2)*(-3 + 1 + 0) + 20*s + 17*s - 18*s + 2*s + 0 + 0 + (-4 + 2 + 0)*(0*s + 3*s - s) + 0 + s + 0 in the form h + i*s and give i.
22
Express -4 - 2 - 12*j**3 - 9*j**3 + 5*j + 7 + 2 in the form n*j**3 + m + o*j**2 + p*j and give n.
-21
Rearrange 2*y - 9 - 60 + 2 + 0*y to c + u*y and give c.
-67
Rearrange 57*h**2 + 26 + h + 3*h**2 - 23 to g*h**2 + x + t*h and give t.
1
Express 63*u**3 - 23*u**3 - 24*u**3 - 19*u**3 + 13*u**2 in the form j + r*u + q*u**3 + g*u**2 and give g.
13
Rearrange ((2 - 2 - l**2)*(3*l - 4*l + 0*l) + l**2 - 3*l**3 - l**2)*(-63*l + 165*l + 33*l) to v*l + d + i*l**4 + h*l**3 + c*l**2 and give i.
-270
Express (-d - d + 3*d)*(2*d + 2*d - 3*d + (-d - 3*d + d)*(-5 + 3 + 3) - 2*d + 0*d + 3*d)*(-5 + 5 + d) in the form i*d + n*d**3 + x + q*d**2 and give n.
-1
Rearrange (4 - 4 - t)*(-3*t + 2*t + 0*t)*(46*t + 40*t + 1 + 121430*t**2 - 121432*t**2) to j + u*t + g*t**4 + o*t**3 + f*t**2 and give f.
1
Express -6*x + 18 - 29 + 13 - 9*x in the form i*x + d and give d.
2
Express (20 + 24*x + 7 - 26)*(-2*x**3 + 2*x**3 - 2*x**3) in the form k*x**2 + y*x + h*x**4 + v*x**3 + l and give h.
-48
Rearrange -77 + 12 - 21*b - 69 + 19*b - 36 to z + c*b and give z.
-170
Express -49 + 89 - 251*o - 40 in the form x + s*o and give s.
-251
Express -x - x + x + 52*x - 5 - 43*x + 4 + (-x + 4*x - 5*x)*(1 + 1 - 5) as o + m*x and give o.
-1
Rearrange 11*x**2 - 7*x**2 - 11 - 4 + 26*x**2 + 13 to s*x + p*x**2 + h and give h.
-2
Rearrange (-137*z**2 - 106*z**2 + 844*z**3 + 243*z**2)*(-2 - 2 + 5) to m*z + a*z**2 + u + p*z**3 and give p.
844
Express (-3 + 3 - 1)*(0 + 0 - 2)*((2 - 3 - 1)*(-4*w + 4*w + w**3) + 0 + 4*w**3 + 0) in the form q + c*w + g*w**2 + u*w**3 and give u.
4
Rearrange (p - 4*p + p)*(0*p - p - 4 - p)*(-155*p - 95*p + 19*p) to the form i + n*p + l*p**2 + k*p**3 and give i.
0
Rearrange (3*q**2 - 2*q**3 - 3*q**2)*(306 - 722 - 128) to z + g*q**3 + j*q**2 + h*q and give g.
1088
Rearrange -2*g**4 + 25*g + 10*g**3 - 17*g**3 + 6*g**3 + 57*g**4 - 26*g to the form k*g + t*g**3 + m*g**2 + v + c*g**4 and give t.
-1
Express (-3*t + 2*t + 3*t)*(-1 + 0 - 1) - 35*t - 7*t - 28*t + t + t - 3*t as y + l*t and give l.
-75
Rearrange -45*l + 766*l + 283*l - 97*l to the form s*l + n and give n.
0
Express 40 + 4*w - 3*w - 545 in the form m*w + r and give r.
-505
Rearrange -20*i**3 - i**2 - 3*i**3 - 4*i**3 + 2 - 63*i + 56*i to o*i**3 + f + x*i + k*i**2 and give o.
-27
Express 0*a + 13 + 13*a - 8*a - 13*a in the form u + f*a and give u.
13
Express (267*h + 291*h - 98*h)*(5*h**2 - 4*h**2 + 4*h**2) in the form y + w*h**3 + l*h**2 + n*h and give w.
2300
Express 335*f**2 - 30*f + 662*f**2 - 37*f + 68*f as m*f**2 + l + b*f and give m.
997
Rearrange -27601 - 183*b**2 + 27600 - 86*b**2 to the form i + u*b**2 + t*b and give i.
-1
Rearrange (-3*z - z + 2*z)*((3 + 5 - 21)*(-3*z + z + z) + 6*z - 2*z - 3*z) to the form g + m*z**2 + n*z and give m.
-28
Express 67*i + 71*i - 47*i + 1 as f*i + z and give z.
1
Express 3*o**3 - 165*o**2 + 18*o - o**3 + 867*o**2 - 16*o + 376*o**2 as g*o**2 + b*o + s*o**3 + j and give g.
1078
Express (-4*x + 4*x - 8*x)*(7*x - 1779 + 11*x**3 + 1779) in the form b + s*x**4 + n*x**2 + g*x**3 + o*x and give n.
-56
Express (441*x + 1124 + 440*x - 879*x)*(-2*x**2 + 2*x**2 - 2*x**2) in the form i + b*x + y*x**2 + o*x**3 and give b.
0
Rearrange -b**2 - b**2 - 2*b**2 - 2*b**2 + b**2 + 0*b**2 + (4*b - 2*b - b)*(-5 + 2*b + 5) + 3*b**2 + 159 - 156 - 10*b**2 to n + o*b + y*b**2 and give y.
-10
Rearrange (-4*c**3 + 2*c**3 + 4*c**3)*(-143*c + 371*c + 254*c + (-2*c - 2*c + 3*c)*(-2 + 4 + 1)) to k*c**3 + p*c**4 + h*c + j + b*c**2 and give p.
958
Express -51*i**2 + 0 + 2 + i**3 - 56*i**2 - 3*i**3 in the form y + j*i**2 + h*i**3 + g*i and give y.
2
Express 45 - 45 - 80*b - 111*b in the form l + s*b and give s.
-191
Rearrange 4 - 29 - 14*m + 5*m**3 - 6*m**3 - 20*m + 35*m to j*m**2 + k + h*m + a*m**3 and give a.
-1
Express 7*m - 11 - 6 + 0 + 9 in the form t*m + d and give t.
7
Express 2269845 - 795*v - 2269845 in the form a*v + c and give a.
-795
Rearrange 150 + 2*g**3 + 282*g**2 + 276*g**2 - 555*g**2 to c*g**3 + k*g + x*g**2 + d and give x.
3
Express 135768*n - 193*n**2 - 135768*n as u + q*n**2 + c*n and give q.
-193
Rearrange -182*v**2 + 34*v**3 - 2*v**2 - 1 - 1 - 17*v**3 - v - 19*v**3 to the form g*v**3 + p*v**2 + r*v + d and give g.
-2
Express (0*f - 36*f - 72*f)*(5 + 2*f - 5)*(0*f + 0*f + f**2) as b*f + j*f**2 + t + i*f**3 + q*f**4 and give q.
-216
Express -32*y**2 - 1040*y**2 - 1129*y**2 + 250*y**2 as w + x*y**2 + i*y and give x.
-1951
Express -745*z + 763*z - 328*z as u*z + w and give u.
-310
Rearrange (0 - 4 + 2)*(2*c + 3*c - c)*(-700 - 10*c + 700) to the form v*c + o*c**2 + x and give o.
80
Express (-f + 4 - 4)*(-7 + 1 + 0) + 7*f + 2*f + 2*f in the form d*f + b and give d.
17
Express (7*o**2 + 9*o - 9*o)*(o**2 + 2*o - 2*o) - o**4 + 0*o**4 + 5*o**4 - 11 + o**4 + 11 as c*o**3 + q*o**4 + j*o**2 + h + v*o and give q.
12
Rearrange 22*o**2 - 479*o + 7*o**2 + 479*o + (-1 + 1 - 2*o)*(-o + 3 - 3) to the form b*o**2 + k + h*o and give b.
31
Rearrange 294*y**2 + 292*y**2 + 286*y**2 - 10 - 869*y**2 - 7*y**3 to q*y**3 + i*y + d + p*y**2 and give q.
-7
Express -11*k + 209 - 415 + 216 as q*k + s and give s.
10
Rearrange (0 + 0 + 10*j)*(0 + 0 + j)*(-j + 5*j - 2*j)*(0 + 0 - 1) - 8*j**2 - j**3 + 8*j**2 to x*j**3 + d*j + a + q*j**2 and give x.
-21
Express (-15 + 15 + h)*(9*h - 4*h + 3*h) + 2*h**2 + 4*h**2 - 10*h**2 as w*h**2 + p + s*h and give w.
4
Rearrange -50 + 6*n**2 - 51 - n**3 - 5*n**2 + 38*n + 102 - 2*n**4 to the form z*n**3 + c*n**2 + p + g*n + l*n**4 and give c.
1
Rearrange -41 - 2*l**2 + 121 - 3*l - 31 - 37 + l**2 to the form g*l + w*l**2 + n and give n.
12
Rearrange (15*l - l + 0*l)*((-1 + 2 - 2)*(-4*l - l - l) + (-3 + 6 + 1)*(4*l + 0*l - 3*l)) to k + g*l**2 + i*l and give g.
140
Express (-1 + 0 + 2)*(-2*v - 3*v + 3*v)*(-77 + 306 - 141) in the form u + s*v and give s.
-176
Rearrange 3 - 1 + 2 - 16*r**3 + 5*r**2 - 3*r - 3 - 2*r**2 to s*r**2 + y*r**3 + j*r + v and give y.
-16
Rearrange -2*q**3 + 2*q**2 + 115 + 2*q + 2*q**4 - 225 + 118 to the form x*q**2 + w + n*q**4 + l*q + a*q**3 and give a.
-2
Express (-480 + 970 - 481 + 3*t**2 - 2*t)*(11*t**2 - 10*t**2 + 5*t**2) a | {
"pile_set_name": "DM Mathematics"
} |
f -42, -37, -22, 9, 62?
d**3 - d**2 + d - 43
What is the o'th term of 625, 626, 627?
o + 624
What is the a'th term of 214, 427, 640, 853, 1066?
213*a + 1
What is the q'th term of -2, -8, -30, -80, -170, -312, -518?
-2*q**3 + 4*q**2 - 4*q
What is the q'th term of -49, -94, -139?
-45*q - 4
What is the r'th term of 366, 360, 354, 348, 342, 336?
-6*r + 372
What is the o'th term of 62, 124, 188, 254, 322, 392?
o**2 + 59*o + 2
What is the a'th term of -20, 30, 128, 280, 492, 770, 1120, 1548?
a**3 + 18*a**2 - 11*a - 28
What is the q'th term of 201, 190, 157, 90, -23, -194, -435, -758?
-2*q**3 + q**2 + 202
What is the c'th term of 131, 122, 101, 62, -1, -94, -223, -394?
-c**3 - 2*c + 134
What is the c'th term of 19, 40, 61, 82?
21*c - 2
What is the x'th term of 26, 88, 150, 212, 274?
62*x - 36
What is the i'th term of 266, 504, 742, 980, 1218, 1456?
238*i + 28
What is the u'th term of 385, 787, 1189?
402*u - 17
What is the t'th term of -2029, -2030, -2031?
-t - 2028
What is the z'th term of 554, 553, 552, 551?
-z + 555
What is the k'th term of -34, -66, -98, -130?
-32*k - 2
What is the f'th term of 26909, 26911, 26913, 26915?
2*f + 26907
What is the w'th term of -9, -6, -13, -36, -81?
-w**3 + w**2 + 7*w - 16
What is the d'th term of 568, 1130, 1688, 2242, 2792, 3338, 3880?
-2*d**2 + 568*d + 2
What is the x'th term of -48, -217, -508, -927, -1480, -2173?
-x**3 - 55*x**2 + 3*x + 5
What is the v'th term of -32, -71, -112, -155, -200?
-v**2 - 36*v + 5
What is the y'th term of 1964, 1967, 1972, 1979?
y**2 + 1963
What is the z'th term of 1209, 1204, 1205, 1218, 1249, 1304?
z**3 - 3*z**2 - 3*z + 1214
What is the q'th term of -11, -1, 33, 103, 221?
2*q**3 - 4*q - 9
What is the l'th term of -804, -728, -602, -426, -200?
25*l**2 + l - 830
What is the g'th term of 16220, 32439, 48658, 64877, 81096, 97315?
16219*g + 1
What is the k'th term of -1164, -2327, -3490?
-1163*k - 1
What is the x'th term of 37, 171, 401, 733, 1173?
x**3 + 42*x**2 + x - 7
What is the p'th term of -17, -60, -177, -404, -777?
-6*p**3 - p**2 + 2*p - 12
What is the s'th term of -421, -445, -481, -529, -589, -661?
-6*s**2 - 6*s - 409
What is the j'th term of 41, 80, 119, 158, 197, 236?
39*j + 2
What is the v'th term of -46, -81, -118, -157, -198, -241?
-v**2 - 32*v - 13
What is the s'th term of -134, -138, -146, -158, -174, -194?
-2*s**2 + 2*s - 134
What is the l'th term of 252, 1010, 2274, 4044, 6320, 9102, 12390?
253*l**2 - l
What is the x'th term of -56, -108, -158, -206, -252, -296, -338?
x**2 - 55*x - 2
What is the o'th term of 874, 882, 890, 898, 906, 914?
8*o + 866
What is the p'th term of 20, 96, 216, 380?
22*p**2 + 10*p - 12
What is the v'th term of 39, 186, 445, 828, 1347, 2014, 2841?
2*v**3 + 44*v**2 + v - 8
What is the o'th term of -1047, -1068, -1111, -1182, -1287, -1432, -1623?
-o**3 - 5*o**2 + o - 1042
What is the j'th term of -19, -12, -5, 2, 9, 16?
7*j - 26
What is the o'th term of 271, 279, 301, 343, 411, 511?
o**3 + o**2 - 2*o + 271
What is the x'th term of 29388, 29390, 29392, 29394, 29396, 29398?
2*x + 29386
What is the s'th term of -933, -1873, -2815, -3759, -4705, -5653, -6603?
-s**2 - 937*s + 5
What is the t'th term of 6, 1, -2, -3, -2?
t**2 - 8*t + 13
What is the w'th term of -120, -125, -128, -129, -128, -125?
w**2 - 8*w - 113
What is the y'th term of 54, 57, 60, 63, 66?
3*y + 51
What is the n'th term of 130, 261, 392, 523?
131*n - 1
What is the p'th term of -46, -47, -56, -79, -122, -191?
-p**3 + 2*p**2 - 47
What is the n'th term of -1397, -1412, -1451, -1526, -1649, -1832, -2087, -2426?
-2*n**3 - n - 1394
What is the x'th term of 20, 26, 32?
6*x + 14
What is the p'th term of -2, -3, 6, 31, 78, 153, 262?
p**3 - p**2 - 5*p + 3
What is the j'th term of -215, -1689, -5693, -13493, -26355, -45545?
-211*j**3 + j**2 - 5
What is the h'th term of 52, 94, 136, 178, 220, 262?
42*h + 10
What is the j'th term of -39, -66, -93, -120, -147?
-27*j - 12
What is the d'th term of 62, 61, 60, 59?
-d + 63
What is the f'th term of 35, 86, 137, 188?
51*f - 16
What is the j'th term of -341, -355, -379, -413, -457, -511, -575?
-5*j**2 + j - 337
What is the p'th term of 1, -21, -89, -227, -459?
-4*p**3 + p**2 + 3*p + 1
What is the s'th term of -9, -151, -535, -1281, -2509, -4339?
-20*s**3 - s**2 + s + 11
What is the i'th term of -2268, -2285, -2328, -2409, -2540, -2733, -3000?
-2*i**3 - i**2 - 2265
What is the v'th term of 51, 85, 151, 255, 403, 601, 855, 1171?
v**3 + 10*v**2 - 3*v + 43
What is the r'th term of 12, 59, 138, 249, 392, 567, 774?
16*r**2 - r - 3
What is the c'th term of 67, 77, 101, 145, 215?
c**3 + c**2 + 65
What is the b'th term of -16, -34, -62, -100?
-5*b**2 - 3*b - 8
What is the v'th term of -31, -197, -649, -1531, -2987?
-24*v**3 + v**2 - v - 7
What is the m'th term of -7, -18, -29, -34, -27, -2, 47?
m**3 - 6*m**2 - 2
What is the u'th term of 609, 641, 721, 873, 1121, 1489?
4*u**3 + 4*u + 601
What is the u'th term of 13, 64, 159, 310, 529, 828, 1219?
2*u**3 + 10*u**2 + 7*u - 6
What is the b'th term of 170, 317, 464, 611, 758, 905?
147*b + 23
What is the p'th term of -284, -269, -244, -209, -164?
5*p**2 - 289
What is the g'th term of 203, 805, 1803, 3191, 4963, 7113, 9635, 12523?
-g**3 + 204*g**2 - 3*g + 3
What is the g'th term of 87, 88, 89, 90, 91, 92?
g + 86
What is the d'th term of -2386, -2375, -2350, -2305, -2234, -2131?
d**3 + d**2 + d - 2389
What is the y'th term of 94, 123, 152, 181, 210?
29*y + 65
What is the s'th term of -209, -414, -619, -824, -1029, -1234?
-205*s - 4
What is the l'th term of 4, 0, -4, -8?
-4*l + 8
What is the q'th term of -15, -24, -33?
-9*q - 6
What is the b'th term of -42, -77, -114, -153, -194, -237?
-b**2 - 32*b - 9
What is the h'th term of -50, -73, -96?
-23*h - 27
What is the x'th term of 51, 42, 33, 24, 15?
-9*x + 60
What is the a'th term of -712, -1417, -2120, -2821, -3520?
a**2 - 708*a - 5
What is the g'th term of -1, 0, 23, 80, 183, 344?
2*g**3 - g**2 - 10*g + 8
What is the k'th term of -31, -28, -19, -4, 17, 44?
3*k**2 - 6*k - 28
What is the y'th term of -19, -5, 27, 83, 169?
y**3 + 3*y**2 - 2*y - 21
What is the k'th term of 39, 51, 31, -27, -129?
-k**3 - 10*k**2 + 49*k + 1
What is the l'th term of 127, 30, -133, -362, -657, -1018, -1445?
-33*l**2 + 2*l + 158
What is the t'th term of -95, -108, -121?
-13*t - 82
What is the c'th term of -31, -83, -159, -259?
-12*c**2 - 16*c - 3
What is the k'th term of -47, -145, -309, -539, -835?
-33*k**2 + k - 15
What is the o'th term of -156, -171, -186, -201, -216?
-15*o - 141
What is the f'th term of -1114, -1120, -1126, -1132, -1138, -1144?
-6*f - 1108
What is the w'th term of 10, 17, 24, 31?
7*w + 3
What is the v'th term of -16, -29, -68, -145, -272, -461, -724?
-2*v**3 - v**2 + 4*v - 17
What is the t'th term of 9, 45, 121, 243, 417, 649?
t**3 + 14*t**2 - 13*t + 7
What is the m'th term of 513, 522, 543, 582, 645, 738?
m**3 + 2*m + 510
What is the n'th term of -57, -60, -61, -60, -57, -52, -45?
n**2 - 6*n - 52
What is the v'th term of 72, 78, 88, 102, 120, 142, 168?
2*v**2 + 70
What is the p'th term of -2, -6, -14, -26?
-2*p**2 + 2*p - 2
What is the x'th term of 50, 36, 24, 14, 6?
x**2 - 17*x + 66
What is the g'th term of -269, -537, -807, -1079?
-g**2 - 265*g - 3
What is the u'th term of 158, 161, 164, 167, 170, 173?
3*u + 155
What is the y'th term of 10, 33, 68, 115, 174, 245?
6*y**2 + 5*y - 1
What is the n'th term of -15, -26, -49, -90, -155?
-n**3 - 4*n - 10
What is the b'th term of 1418, 2840, 4262, 5684?
1422*b - 4
What is the s'th term of 8, 8, 2, -16, -52, -112, -202?
-s**3 + 3*s**2 - 2*s + 8
What is the d'th term of 1, 8, 35, 94, 197, 356, 583?
2*d**3 - 2*d**2 - d + 2
What is the n'th term of -883, -881, -879, -877, -875, -873?
2*n - 885
What is the t'th term of 175, 708, 1597, 2842?
178*t**2 - t - 2
What is the v'th term of -1276, -1277, -1278, -1279, -1280, -1281?
-v - 1275
What is the l'th term of -7, -35, -111, -259, -503, -867, -1375, -2051?
-4*l**3 - 3
What is the v'th term of 16, 12, 6, -2, -12, -24, -38?
-v**2 - v + 18
What is the q'th term of 53, 83, 111, 137, 161, 183, 203?
-q**2 + 33*q + 21
What is the j'th term of 11223, 11224, 11225, 11226?
j + 11222
What is the w'th term of -181, -188, -197, -208, -221?
-w**2 - 4*w - 176
What is the q'th term of 409, 395, 357, 283, 1 | {
"pile_set_name": "DM Mathematics"
} |
or b.
-3403, -18
Factor -3*p**4/7 - 175521*p**3/7 - 351033*p**2/7 - 175515*p/7.
-3*p*(p + 1)**2*(p + 58505)/7
Solve -27*v**2 + 1415103*v - 314466 = 0.
2/9, 52411
What is b in -b**2/5 - 395136*b/5 - 39033114624/5 = 0?
-197568
Factor 4*t**2 - 3824*t + 150060.
4*(t - 915)*(t - 41)
Factor -3*w**2 - 1965*w - 25038.
-3*(w + 13)*(w + 642)
Factor -p**4 + 8*p**3 - 4*p**2 - 48*p.
-p*(p - 6)*(p - 4)*(p + 2)
Factor -4*v**2 + 28852*v - 86520.
-4*(v - 7210)*(v - 3)
Solve 5*t**3 + 8445*t**2 + 158550*t - 167000 = 0 for t.
-1670, -20, 1
Factor w**2/3 - 5012*w/3 + 5011/3.
(w - 5011)*(w - 1)/3
Factor -s**2/8 + 4463*s/4 - 26769/8.
-(s - 8923)*(s - 3)/8
Determine c, given that -18*c**4 + 4188*c**3/5 - 13984*c**2/5 + 2676*c - 430 = 0.
1/5, 5/3, 43
Determine d so that 5*d**2 - 75*d - 44370 = 0.
-87, 102
Determine p, given that 3*p**3 - 12*p**2 - 1188*p - 6048 = 0.
-14, -6, 24
Factor u**4 + 38*u**3 + 521*u**2 + 3088*u + 6720.
(u + 7)*(u + 8)**2*(u + 15)
Suppose -4*i**2/7 - 36640*i/7 - 73264/7 = 0. What is i?
-9158, -2
Factor 4*t**4/9 + 6560*t**3/9 - 13136*t**2/9.
4*t**2*(t - 2)*(t + 1642)/9
Determine d so that -d**2 - 867908*d - 188316074116 = 0.
-433954
Solve i**5/5 + 20*i**4 + 1728*i**3/5 - 8960*i**2 - 200704*i/5 = 0 for i.
-56, -4, 0, 16
Find m such that -4*m**2 - 3588004*m = 0.
-897001, 0
Determine p, given that -4*p**2 - 5611172*p - 5611168 = 0.
-1402792, -1
Let -5*h**3 - 9165*h**2 - 4195275*h + 4204445 = 0. Calculate h.
-917, 1
Suppose 25*l**4/6 - 785*l**3/6 - 3545*l**2/3 + 15730*l/3 - 1900 = 0. Calculate l.
-10, 2/5, 3, 38
Determine v, given that v**5 + 733*v**4 - 62145*v**3 + 182027*v**2 - 180556*v + 59940 = 0.
-810, 1, 74
Factor c**3 + 6078*c**2.
c**2*(c + 6078)
Factor 4*w**4 - 9268*w**3 + 6872580*w**2 - 1393557372*w - 176789305944.
4*(w - 801)**3*(w + 86)
Determine d, given that -2*d**3 - 6484*d**2 + 84606*d - 78120 = 0.
-3255, 1, 12
Determine d, given that 4*d**5/7 + 9624*d**4/7 + 5769544*d**3/7 - 23222736*d**2/7 + 5865940*d/7 + 34848600/7 = 0.
-1205, -1, 2, 3
Let -108*s**2 + 14756*s + 5480 = 0. What is s?
-10/27, 137
Factor 3*t**2/5 + 5196*t/5 - 62292.
3*(t - 58)*(t + 1790)/5
Factor 3*y**4 - 546*y**3 + 4197*y**2 - 3654*y.
3*y*(y - 174)*(y - 7)*(y - 1)
Find z, given that 8*z**3/13 - 90*z**2 - 35484*z/13 + 688 = 0.
-26, 1/4, 172
Factor 5*h**3 - 4060*h**2 + 71865*h - 321570.
5*(h - 794)*(h - 9)**2
Factor -5*y**4 - 16393440*y**3 - 13437227358230*y**2 + 26874503896800*y - 13437260145125.
-5*(y - 1)**2*(y + 1639345)**2
Find t, given that 6*t**4/11 + 5188*t**3/11 + 3418*t**2/11 - 32820*t/11 + 10368/11 = 0.
-864, -3, 1/3, 2
What is p in p**4/2 - 480*p**3 + 1821*p**2/2 + 45355*p + 143700 = 0?
-5, 12, 958
Solve -8*g**3 - 107646*g**2 + 349928*g - 80754 = 0 for g.
-13459, 1/4, 3
Let -3*h**2/7 - 1267452*h/7 - 133869547692/7 = 0. Calculate h.
-211242
Factor 4*x**3 - 1992*x**2 - 8032*x.
4*x*(x - 502)*(x + 4)
Let -1118*h**3 - 17885*h**2 + 40296*h - 108 = 0. What is h?
-18, 3/1118, 2
What is s in -2*s**2/3 + 16970*s/3 - 56500 = 0?
10, 8475
Solve s**2 + 44067*s + 176252 = 0 for s.
-44063, -4
Let -t**5 - 549*t**4 - 7531*t**3 - 21879*t**2 + 29960*t = 0. Calculate t.
-535, -8, -7, 0, 1
Suppose -l**4/2 + 169*l**3/2 - 2823*l**2/2 + 16051*l/2 - 14798 = 0. What is l?
4, 7, 151
Determine w so that -3*w**2/4 - 6495*w/4 + 6501/2 = 0.
-2167, 2
Determine a so that -a**5/6 + 515*a**4 - 789471*a**3/2 - 4792590*a**2 - 14433606*a = 0.
-6, 0, 1551
Factor p**3/3 - 223*p**2/3 + 11368*p/3 + 40368.
(p - 116)**2*(p + 9)/3
Solve 3*f**4/2 + 8487*f**3/2 - 17025*f**2/2 - 110439*f/2 - 42465 = 0 for f.
-2831, -2, -1, 5
Factor -3*b**2/5 + 1321047*b/5 - 2642082/5.
-3*(b - 440347)*(b - 2)/5
Factor -2*b**2/7 - 386*b/7 + 11880/7.
-2*(b - 27)*(b + 220)/7
Factor -3*g**3/5 - 30186*g**2 - 301851*g/5 - 150924/5.
-3*(g + 1)**2*(g + 50308)/5
Solve -20*y**5 - 19028*y**4 - 64548*y**3 - 79676*y**2 - 41720*y - 7584 = 0.
-948, -1, -2/5
Find t, given that -4*t**3 + 312*t**2 - 4356*t - 67392 = 0.
-9, 39, 48
Factor -2*h**2/13 + 3936156*h/13 - 1936665507042/13.
-2*(h - 984039)**2/13
Determine z, given that -2*z**3/13 - 246*z**2/13 + 252*z/13 + 496/13 = 0.
-124, -1, 2
Factor 2*d**2/7 + 2678*d/7 + 549516/7.
2*(d + 253)*(d + 1086)/7
Find f such that -2*f**2/3 + 1346*f/3 - 2684/3 = 0.
2, 671
Suppose v**3/4 - 44387*v**2/4 - 88777*v/4 - 44389/4 = 0. What is v?
-1, 44389
Factor -1612*v**3 - 4812*v**2 - 3152*v + 48.
-4*(v + 1)*(v + 2)*(403*v - 6)
Let -c**4 + 259*c**3 - 14559*c**2 + 80469*c - 117288 = 0. What is c?
3, 72, 181
Factor 3*k**2/4 - 20010*k + 80037/4.
3*(k - 26679)*(k - 1)/4
What is s in 85*s**2/6 + 113*s/2 - 2/3 = 0?
-4, 1/85
Solve -2*q**5 + 716*q**4 + 5808*q**3 + 17504*q**2 + 23392*q + 11712 = 0.
-2, 366
Factor 4*q**2/5 + 13284*q - 199296/5.
4*(q - 3)*(q + 16608)/5
Find a such that 5*a**2 - 77085*a - 154190 = 0.
-2, 15419
Factor 5*m**3 + 528055*m**2 - 1056125*m + 528065.
5*(m - 1)**2*(m + 105613)
Suppose 25*o**5 - 7480*o**4 + 16370*o**3 - 10400*o**2 + 1485*o = 0. Calculate o.
0, 1/5, 1, 297
Suppose -p**2 - 43254*p + 129771 = 0. What is p?
-43257, 3
Determine m so that 6*m**3/11 + 3324*m**2 + 55741800*m/11 + 111337392/11 = 0.
-3046, -2
Factor l**3/7 + 172*l**2/7 + 3449*l/7 + 3278/7.
(l + 1)*(l + 22)*(l + 149)/7
Solve 3*f**4/4 + 156*f**3 - 4956*f**2 = 0.
-236, 0, 28
Find a, given that 3*a**2 - 71040*a - 71043 = 0.
-1, 23681
Factor 2*n**4 + 84*n**3 + 1048*n**2 + 2736*n - 10368.
2*(n - 2)*(n + 8)*(n + 18)**2
Factor -8*z**3/3 + 10266*z**2 - 7698*z.
-2*z*(z - 3849)*(4*z - 3)/3
Solve 2*f**4/5 - 14*f**3 - 76*f**2/5 + 144*f/5 = 0 for f.
-2, 0, 1, 36
Solve 2*z**4/19 + 242*z**3/19 - 5924*z**2/19 + 5680*z/19 = 0 for z.
-142, 0, 1, 20
What is m in -2*m**3 + 12618*m**2 - 19857504*m - 139621496 = 0?
-7, 3158
Suppose -4*j**4 + 4476*j**3 - 70848*j**2 + 282368*j = 0. What is j?
0, 8, 1103
Determine n so that -n**2 + 270*n + 28431 = 0.
-81, 351
Solve -2*t**5/19 + 254*t**4/19 - 6512*t**3/19 + 54936*t**2/19 - 112896*t/19 = 0 for t.
0, 3, 14, 96
Let 5*f**3 - 651945*f**2 + 651930*f + 1303880 = 0. Calculate f.
-1, 2, 130388
Find h, given that -35*h**3 + 55390*h**2 + 79185*h + 23760 = 0.
-1, -3/7, 1584
What is k in -k**3/4 + 67*k**2/4 + 281*k/4 + 213/4 = 0?
-3, -1, 71
Determine p, given that 98*p**2 + 30*p - 972 = 0.
-162/49, 3
Factor 98*q**4 - 774844*q**3 + 1531811226*q**2 - 875130952*q + 125009672.
2*(q - 3953)**2*(7*q - 2)**2
Solve -2*h**3/17 + 771068*h**2/17 - 74318232578*h/17 = 0.
0, 192767
Find w, given that 4*w**2 - 480*w + 10556 = 0.
29, 91
Factor 8*c**2 - 60297*c + 7537.
(c - 7537)*(8*c - 1)
Factor 2*q**2/7 - 11350*q/7 - 227800/7.
2*(q - 5695)*(q + 20)/7
Factor 196*i**3 - 13356*i**2 + 109824*i - 241664.
4*(i - 59)*(7*i - 32)**2
What is r in -2*r**2/17 + 11448*r/17 - 34326/17 = 0?
3, 5721
Factor -r**2/5 + 1816*r/5 - 51823/5.
-(r - 1787)*(r - 29)/5
Solve -4*s**2 - 176*s + 3540 = 0 for s.
-59, 15
What is g in -4*g**2 + 11365*g - 14200 = 0?
5/4, 2840
Factor -4*n**2 + 131820*n - 131816.
-4*(n - 32954)*(n - 1)
Find d, given that -7*d**2 - 3006*d - 1287 = 0.
-429, -3/7
Factor 5*p**4 - 3590*p**3 + 7165*p**2 - 3580*p.
5*p*(p - 716)*(p - 1)**2
Suppose -u**5 + 14*u**4 + 55*u**3 - 56*u**2 - 204*u = 0. What is u?
-3, -2, 0, 2, 17
Factor v**4/2 + 792*v**3 - 25856*v**2.
v**2*(v - 32)*(v + 1616)/2
Let -25*u**4 + 3815*u**3 - 27770*u**2 + 31780*u + 17400 = 0. What is u?
-2/5, 2, 6, 145
Determine p, given that 5*p**4 + 26820*p**3 - 26825*p**2 = 0.
-5365, 0, 1
Factor 3*c**3/4 + 189*c**2/2 - 7245*c/4 + 1716.
3*(c - 16)*(c - 1)*(c + 143)/4
Solve 5*z**2 - 1265*z - 2550 = 0 for z.
-2, 255
Determine b, given that 5*b**4 + 4270*b**3 + 12720*b**2 - 38430*b - 114885 = 0.
-851, -3, 3
Solve -3*h**2/8 + 35019*h/2 - 408776787/2 = 0 for h.
23346
Determine z, given that -5*z**3/4 - 16855*z**2/4 - 3549030*z + 3553245 = 0.
-1686, 1
Suppose -3*y**2/5 - 228*y + 6948/5 = 0. Calculate y.
-386, 6
Let -a**5 - 60*a**4 + 423*a**3 + 1782*a**2 = 0. What is a?
-66, -3, 0, 9
Suppose -5*i**3/4 + 21190*i**2 + 423905*i/4 + 84785 = 0. What is i?
-4, -1, 16957
Factor -n**4/5 + 29*n**3/5 - 258*n**2/5 + 608*n/5 + 896/5.
-(n - 14)*(n - 8)**2*(n + 1)/5
Find y such that 3*y**3 + 3036*y**2 + 771135*y + 1530150 = 0.
-505, -2
Let y**3/4 + 8441*y**2 - 33765*y/4 = 0. What is y?
-33765, 0, 1
Factor 3*m**2 - 243*m - 246.
3*(m - 82)*(m + 1)
Solve -6*c**5 - 436*c**4/3 - 734*c**3 + 1872*c**2 + | {
"pile_set_name": "DM Mathematics"
} |
ify (2 + 0 + 1 + sqrt(637) + 4 + sqrt(637)*-1 + 1 + sqrt(637) + 0 + -3 + -1*sqrt(637) + 4)**2.
81
Simplify 3*(1*(sqrt(352)*-3 + sqrt(198)*-6)/(-2*(sqrt(162)*2 - sqrt(162)))*2)**2.
1100/3
Simplify ((sqrt(75) + 0 + -3 + sqrt(75))*1 - (-1 + sqrt(75)*2 - -2*(sqrt(75) + 1))**2) + 1.
-1203 - 30*sqrt(3)
Simplify (-6*sqrt(144)*-1*6)/((sqrt(96) - 1*sqrt(96)*-1)/sqrt(12)*-6).
-9*sqrt(2)
Simplify (-5 + sqrt(11))*-6 - sqrt(66)/sqrt(294) - (4*(-3 + sqrt(1584) + 1))**2.
-25378 + 5333*sqrt(11)/7
Simplify -3*(-4*(sqrt(833) + 0)**2 - (sqrt(833)*-2 - sqrt(833))*-3 - ((6*(sqrt(833) - (sqrt(833) + sqrt(833) + 1) - sqrt(833)) - sqrt(833))**2 + 3)).
3465*sqrt(17) + 432444
Simplify -6*(((1*sqrt(750) - sqrt(750)) + sqrt(750) - sqrt(30) - -1*sqrt(3000))/(1*sqrt(486) + sqrt(54)))**2*-1.
245/6
Simplify ((sqrt(36)/sqrt(3))/sqrt(4)*1*-1 - (4 + sqrt(432) + (sqrt(432) + -1)*2 + sqrt(432))**2) + -1.
-6917 - 193*sqrt(3)
Simplify (-4*(-5 + 2 + -4 + (sqrt(245) - sqrt(245)*1) + 2) + -5)**2.
225
Simplify 6*(3*sqrt(1872)*-5 + 2 + 1*sqrt(1872) + 4 + sqrt(1872) + 2 + sqrt(1872)*-2 + 5).
-1080*sqrt(13) + 78
Simplify (-4 + (-1 + 1 + sqrt(243) + -3)*6 + (-5*(2 + sqrt(243)) - ((5 + 3*sqrt(243) - sqrt(243)) + sqrt(243))))**2.
1332*sqrt(3) + 2341
Simplify -3*4*(-5*2*sqrt(76) - -4*(sqrt(76) - (sqrt(76) + 1*sqrt(76))))/(-3*2*sqrt(576)).
-7*sqrt(19)/3
Simplify 5 + 3*((5*(sqrt(833) - (sqrt(833) - (-1 + sqrt(833)))) - sqrt(833)) + sqrt(833) + 1 + (sqrt(833) + (3*(sqrt(833) + 0) - sqrt(833)) - sqrt(833))*-4)**2.
504*sqrt(17) + 22544
Simplify 5*(-2 + (-5 + 1*sqrt(39)/(-1*sqrt(108) - sqrt(3)))*-5)**2.
1150*sqrt(13)/7 + 131230/49
Simplify -1 + -4*(3 + (-4 + sqrt(931) + 4 + 5*sqrt(931)*-4)**2)*-3.
4033127
Simplify ((sqrt(931) - -6*1*sqrt(931)) + (sqrt(931) + (sqrt(931) + -2 - sqrt(931)))**2*5 - ((2 + (1 + sqrt(931) - sqrt(931)))**2 + sqrt(931))*2)*6.
-630*sqrt(19) + 27942
Simplify (-1*-4*sqrt(121)*-5*-1)/((sqrt(66) + -5*sqrt(66)*1 + sqrt(66))/(sqrt(96) - (sqrt(96)*-1 + sqrt(96) + sqrt(96) - sqrt(96) - sqrt(96)))).
-160*sqrt(11)/3
Simplify (2*(-4*sqrt(7)*2 + -2))**2 - (-5 + (5 + sqrt(14)/sqrt(2))*-5).
133*sqrt(7) + 1838
Simplify (((0 + sqrt(1216))*-5 + -5)*-4 - ((sqrt(1216) + -1)*-4 + 1 + 2))**2.
4992*sqrt(19) + 700585
Simplify (-1 + sqrt(5) + -2*sqrt(5) + sqrt(10)/(sqrt(6)/sqrt(3)) + -5 + sqrt(55)/((sqrt(33)*-2)/sqrt(3)))*2.
-12 - sqrt(5)
Simplify (-3 + sqrt(5) + sqrt(15)/sqrt(3))*-6 + (-5 + -4*sqrt(10)/sqrt(2))**2 + (-1 + sqrt(5) + 0 + (6*2*sqrt(5))**2)*6 + 2.
34*sqrt(5) + 4439
Simplify (2*sqrt(4320))/(4*(sqrt(6) - -2*sqrt(6)) - sqrt(6)) - -4*sqrt(125)*1*-2.
-416*sqrt(5)/11
Simplify -1*(2 + (sqrt(153) + 2)**2 + sqrt(153)) + 1 - (-4 + (-4*(-2 + sqrt(153)) + sqrt(153))**2)*1.
-1595 + 129*sqrt(17)
Simplify ((sqrt(5929)*1)/(4*sqrt(112)) - (-3*(sqrt(567) + 2) + sqrt(567))*1)**2.
897*sqrt(7)/4 + 635023/256
Simplify ((0 + (-1*sqrt(171) - sqrt(171)) - (-1 + sqrt(171)*-1)) + ((0 + sqrt(171))*-4 - (-5 + sqrt(171)*1)))**2*5*1 + 1.
-1080*sqrt(19) + 30961
Simplify -5*-4*((3*6*sqrt(1053))**2*1 + -4)*-4.
-27293440
Simplify (-3 + 4 + sqrt(68) + -1 + 2 + sqrt(68)*-1 + -5*sqrt(68)*1 + sqrt(68))**2.
-32*sqrt(17) + 1092
Simplify -5*(sqrt(196)/sqrt(16) - sqrt(196)*2)/(((sqrt(2268) - (sqrt(2268) + 1*sqrt(2268))) + sqrt(28))/sqrt(4))*1.
-35*sqrt(7)/16
Simplify ((-1 + sqrt(18))*2 - (sqrt(90)*-1 + sqrt(90) - sqrt(90))/sqrt(5))**2 + 0 + -5*-4*sqrt(108)/sqrt(6)*6.
166 + 324*sqrt(2)
Simplify (sqrt(544)*1 + sqrt(408)/(sqrt(12) - sqrt(108)))/(sqrt(18) + (-1*sqrt(18) - sqrt(18)) + sqrt(8)*2) + 4.
4 + 7*sqrt(17)/2
Simplify (((sqrt(126)/sqrt(2) + sqrt(63))*5 + -5*sqrt(189)/sqrt(3))/((-2*(sqrt(81) - sqrt(81)*-2))/(sqrt(900)*-1)))**2.
4375/9
Simplify -2 + (sqrt(121)*-2*6*-1*-4)/(-2*2*sqrt(891) - -2*-1*sqrt(891)).
-2 + 8*sqrt(11)/9
Simplify (-4*4*sqrt(56)/sqrt(4))/((sqrt(70)*-1*2)/sqrt(10))*6*-3.
-144*sqrt(2)
Simplify ((2*sqrt(325) + -4 - (0 + -1*sqrt(325))) + 5*(sqrt(325) + -1 + 4 - sqrt(325) - sqrt(325)) + 3)**2*2.
-560*sqrt(13) + 2992
Simplify -5 + ((sqrt(400) - 2*sqrt(400))*-1 + sqrt(400))/(sqrt(15)/(sqrt(6)/sqrt(2)) + sqrt(25)/(sqrt(15)/sqrt(3))).
-5 + 4*sqrt(5)
Simplify ((6*(sqrt(300) + sqrt(3)))**2 + sqrt(3))*4 + 5 - ((-6*(sqrt(15)/sqrt(5))**2 - (sqrt(24) + sqrt(24) + sqrt(24) + sqrt(24)*-1)/sqrt(8)) + 4).
6*sqrt(3) + 52291
Simplify ((-2*((sqrt(4752) + 4*(sqrt(4752)*2 - sqrt(4752)) - sqrt(4752) - sqrt(4752)) + sqrt(4752)))/(5*sqrt(144)/sqrt(3))*6)**2.
228096/25
Simplify ((sqrt(363) + -2)*5 - (-2 + sqrt(363)*1)) + 1 - -4*(5*sqrt(363)*-1 + (sqrt(363)*-2 - sqrt(363)) + 0).
-308*sqrt(3) - 7
Simplify (6*(sqrt(70) - sqrt(70)*-1*-3)*2)/((sqrt(1000) + -4*-1*sqrt(1000))*-2) + 4.
6*sqrt(7)/25 + 4
Simplify 0 + ((sqrt(500)*3)/sqrt(10) + 2*sqrt(250)/sqrt(5) + sqrt(50))/(sqrt(20)/(sqrt(2)*3 - sqrt(2)) - (sqrt(360) - -2*sqrt(360) - sqrt(10))).
-4*sqrt(5)/11
Simplify (6*(2*sqrt(448)*5 + sqrt(448))*-4 + 1*(-2*sqrt(448)*-5 + sqrt(448) - (sqrt(448) - (0 + (sqrt(448) + -2 - sqrt(448))))))**2.
8128*sqrt(7) + 28903172
Simplify ((1*(1*sqrt(66)*-2 + 4*sqrt(66)*-2 + sqrt(66)))/(((2*sqrt(54))/sqrt(3))/((sqrt(3) + sqrt(12)/sqrt(4))*4)))**2.
14256
Simplify -5 + (4*(5*sqrt(128)*-4 + (sqrt(128) - (sqrt(128) + -3 + sqrt(128) + -4)) + -4 + -5))**2.
10752*sqrt(2) + 903227
Simplify (5*sqrt(1029) + sqrt(21)*-4*-6)/(sqrt(343) + -4*(sqrt(343) + 1*sqrt(343) - sqrt(343) - sqrt(343)) + 3*1*sqrt(343)).
59*sqrt(3)/28
Simplify ((sqrt(513)*-2 + sqrt(57))/sqrt(3) - (-5 + sqrt(19) + sqrt(19) + 1)*-3) + ((-2*sqrt(209) + sqrt(209))*-1)/((sqrt(176) + sqrt(11))*-2).
-12 + 9*sqrt(19)/10
Simplify (5*((sqrt(15) + (sqrt(15) + sqrt(60) - sqrt(15)))*-1 - sqrt(15)*2*1))/((2*sqrt(135))/(sqrt(108) - (sqrt(108) - (2*sqrt(108) + sqrt(108))))).
-75*sqrt(3)
Simplify ((-3*sqrt(130)*-5 + sqrt(130) + (-6*(-2*sqrt(130) - sqrt(130)) - sqrt(130)))/(6*(sqrt(360)*1*-4 + sqrt(360))) + 2)**2.
-11*sqrt(13)/9 + 6757/1296
Simplify (-4*1*sqrt(85)*-5*2)/(sqrt(20)/(sqrt(4) + (sqrt(4) - sqrt(16)/sqrt(4))) + (sqrt(5) - 4*(sqrt(5) - (sqrt(5) - sqrt(5)*2)))).
-20*sqrt(17)/3
Simplify (1*(1 + 0 + 4 + sqrt(1700) + 0 + (-1*sqrt(1700)*-1 - sqrt(1700)) + 2))**2.
140*sqrt(17) + 1749
Simplify (-2*sqrt(648)*-2 - -1*sqrt(648)*5)/(sqrt(432)/sqrt(2) + -6*sqrt(6)*2).
-9*sqrt(3)
Simplify 0 + (-1 + -4 + sqrt(125) + -2 + (5 + sqrt(125)*-2 - sqrt(125)) + -2)**2.
80*sqrt(5) + 516
Simplify 2 + (-5 + (sqrt(1539) - (-5*(sqrt(1539) + 1 + sqrt(1539)))**2) + 1 + sqrt(1539) + 3)*-1.
882*sqrt(19) + 153928
Simplify ((sqrt(11) + -1)*4 - sqrt(66)/sqrt(6)*-3 - (-5 + ((sqrt(11) - (0 + sqrt(891))) + sqrt(11) - (-1 + sqrt(44)))))**2.
2816
Simplify (sqrt(77)*-1*-6 + (sqrt(77) - (-1*sqrt(77) - sqrt(77))*5))/(sqrt(33)/((sqrt(27)*3)/sqrt(9))) + 1.
1 + 51*sqrt(7)
Simplify (-3 + ((sqrt(1872) + 1)*-5 + -4 + (sqrt(1872) + 0 - sqrt(1872)) + sqrt(1872) + sqrt(1872) + sqrt(1872) - (sqrt(1872)*-1 + -4 + 5)) + -4)**2.
408*sqrt(13) + 2161
Simplify 5 + -4 + (3*sqrt(130)*2 + (sqrt(130) + sqrt(130) + -2*sqrt(130) + sqrt(130))*-5)/(-2*3*sqrt(490) + sqrt(490)).
-sqrt(13)/35 + 1
Simplify ((sqrt(684)*-4*1 - sqrt(684))*4 + (6*(-3*sqrt(95) + sqrt(95) + sqrt(95))/sqrt(5))**2 + 0)*-4.
-2736 + 480*sqrt(19)
Simplify (2 + ((6*(sqrt(9) + sqrt(324) + (sqrt(324) - (-3*sqrt(324) + sqrt(324)))))/(sqrt(33)/(-3*sqrt(66)/sqrt(6))))**2)*6.
3645012
Simplify (-3*(-2*sqrt(468) + sqrt(468))*4)/(sqrt(576)*-3 + 5*3*sqrt(4)).
-12*sqrt(13)/7
Simplify (((-1*sqrt(363)*-2)**2 + -1 + (sqrt(363)*2)**2)*6 + 0 + 5 + (-2*sqrt(363))**2 + sqrt(363) + -2)*1.
11*sqrt(3) + 18873
Simplify ((sqrt(60) - sqrt(4860)*-1)*6*-5)/((sqrt(2940) - sqrt(60))/sqrt(5) + (sqrt(84)/(-1*sqrt(7)) - sqrt(12))).
-75*sqrt(5)
Simplify 3 + (sqrt(17)*1*-6 + -2*sqrt(612) + -2*(1 + sqrt(612) - sqrt(612))*-2)**2 + -1.
-144*sqrt(17) + 5526
Simplify 4 + ((((sqrt(272) + -1 - sqrt(272))*3 - sqrt(272)) + 5)*-4 + 4 + -4)*-6.
-96*sqrt(17) + 52
Simplify -1*-4*(-1 + sqrt(1872) + sqrt(1872) + sqrt(1872) + 0 + 0 + -1*sqrt(1872) + 3 + 4)**2.
1152*sqrt(13) + 30096
Simplify sqrt(44)/(sqrt(100) - -2*sqrt(100)) + 4 + 5 + (sqrt(44) - 1*sqrt(5324)).
-299*sqrt(11)/15 + 9
Simplify (0 + (-3 + (-3*sqrt(231)/sqrt(7))/(-1*sqrt(3)*-3 + sqrt(3)))*-5)**2.
225*sqrt(11)/2 + 6075/16
Simplify (-1*((sqrt(567) + 2 - sqrt(567)) + sqrt(567) + 3 + sqrt(567)))**2 + ((sqrt(70)*-1*-4)/(sqrt(90)*-2))**2.
180*sqrt(7) + 20665/9
Simplify 3 + (sqrt(13) - (-2*sqr | {
"pile_set_name": "DM Mathematics"
} |
kilometer in millimeters?
62500
How many milligrams are there in 12/25 of a gram?
480
What is fourty-seven quarters of a litre in millilitres?
11750
How many hours are there in 69107.48 weeks?
11610056.64
How many micrograms are there in 16.41379ng?
0.01641379
What is 13/5 of a litre in millilitres?
2600
What is 9.88083 decades in millennia?
0.0988083
What is 75244.81 weeks in days?
526713.67
How many nanometers are there in 9.046695 meters?
9046695000
What is 32/5 of a microgram in nanograms?
6400
What is 8.504591um in kilometers?
0.000000008504591
How many millilitres are there in eleven quarters of a litre?
2750
Convert 88.10056 litres to millilitres.
88100.56
What is 27/5 of a tonne in kilograms?
5400
Convert 58364.33nm to centimeters.
0.005836433
What is 91.50037 years in millennia?
0.09150037
What is 33/5 of a millennium in months?
79200
How many kilograms are there in 36243.65 grams?
36.24365
How many millimeters are there in 118201.1m?
118201100
Convert 59865.46g to micrograms.
59865460000
How many years are there in 3/5 of a decade?
6
How many millilitres are there in 13.54136 litres?
13541.36
What is fourty-six fifths of a meter in millimeters?
9200
What is 4.698911 millilitres in litres?
0.004698911
Convert 988888.9 millennia to years.
988888900
Convert 120.8521ml to litres.
0.1208521
Convert 7.03234 micrometers to kilometers.
0.00000000703234
How many meters are there in 19.73526 nanometers?
0.00000001973526
What is 21/4 of a litre in millilitres?
5250
How many nanograms are there in 7/8 of a microgram?
875
How many seconds are there in eleven quarters of a minute?
165
What is 39.973122 minutes in days?
0.0277591125
How many years are there in 2898.934 centuries?
289893.4
What is three tenths of a century in decades?
3
What is 6.44063m in kilometers?
0.00644063
How many days are there in 17626960.8 seconds?
204.01575
Convert 1.709991 litres to millilitres.
1709.991
What is thirty-two sevenths of a week in minutes?
46080
Convert 0.0031582 millilitres to litres.
0.0000031582
How many milliseconds are there in three fifths of a minute?
36000
How many millennia are there in 27.250923 months?
0.00227091025
How many millimeters are there in 8396.514 meters?
8396514
What is 9956.251l in millilitres?
9956251
What is 13/4 of a centimeter in micrometers?
32500
What is 29/3 of a century in months?
11600
What is seven halves of a second in milliseconds?
3500
What is 483.2697 millennia in years?
483269.7
What is 2.26085 micrograms in tonnes?
0.00000000000226085
How many years are there in 8/25 of a millennium?
320
What is 43.76722 decades in centuries?
4.376722
How many centimeters are there in 17/4 of a meter?
425
What is 6.552306 litres in millilitres?
6552.306
What is seven eighths of a millennium in months?
10500
Convert 6.817579 years to centuries.
0.06817579
What is 98.97901mm in nanometers?
98979010
How many milligrams are there in six fifths of a gram?
1200
Convert 76682.71 millennia to years.
76682710
How many milligrams are there in fifty-seven fifths of a gram?
11400
Convert 448368.8 microseconds to milliseconds.
448.3688
How many minutes are there in 61.78506 microseconds?
0.000001029751
How many minutes are there in nineteen quarters of a hour?
285
What is 517566.3 tonnes in grams?
517566300000
Convert 0.4707609 millennia to years.
470.7609
What is 6/25 of a millimeter in micrometers?
240
How many milliseconds are there in 1/20 of a second?
50
How many hours are there in 1983.939 minutes?
33.06565
How many decades are there in 2.705391 months?
0.022544925
How many hours are there in 39891.537 nanoseconds?
0.0000000110809825
Convert 73.23202 millilitres to litres.
0.07323202
What is 65.64264us in seconds?
0.00006564264
How many millilitres are there in thirty-one halves of a litre?
15500
Convert 0.4461977 millilitres to litres.
0.0004461977
How many kilograms are there in 8.478614 micrograms?
0.000000008478614
How many microseconds are there in 5/4 of a millisecond?
1250
What is 33724.5174ns in weeks?
0.0000000000557614375
What is twenty-one halves of a litre in millilitres?
10500
How many kilograms are there in thirty-three fifths of a tonne?
6600
Convert 4133.196 days to microseconds.
357108134400000
What is eighteen fifths of a litre in millilitres?
3600
How many hours are there in 41/2 of a week?
3444
What is 21/2 of a decade in years?
105
What is 16.100898 months in years?
1.3417415
How many nanometers are there in 3/8 of a micrometer?
375
What is 19/4 of a kilogram in grams?
4750
What is twenty-seven fifths of a micrometer in nanometers?
5400
How many nanometers are there in 56.74522 meters?
56745220000
What is 61398.73 decades in centuries?
6139.873
How many centimeters are there in 27/4 of a meter?
675
What is 558.491 millimeters in nanometers?
558491000
Convert 3679722.27 microseconds to weeks.
0.000006084196875
How many nanograms are there in fifty-nine quarters of a microgram?
14750
Convert 79808.29 micrograms to kilograms.
0.00007980829
What is 5.17363 litres in millilitres?
5173.63
Convert 11.428128 minutes to days.
0.0079362
What is 41.61508kg in micrograms?
41615080000
What is 8.660632 centuries in millennia?
0.8660632
How many months are there in 1/10 of a millennium?
1200
What is 15.6257ml in litres?
0.0156257
How many milligrams are there in 29/2 of a gram?
14500
What is 20570.13l in millilitres?
20570130
How many millilitres are there in 8.630842 litres?
8630.842
What is 774.9158 nanometers in centimeters?
0.00007749158
How many nanograms are there in 4805.628mg?
4805628000
Convert 863327.1s to minutes.
14388.785
How many months are there in twenty-nine thirds of a decade?
1160
How many seconds are there in 2207.87us?
0.00220787
Convert 257.7745 litres to millilitres.
257774.5
What is 7/6 of a minute in seconds?
70
What is 68667.5mm in kilometers?
0.0686675
What is 6.750915 months in years?
0.56257625
What is thirty-seven fifths of a century in months?
8880
How many millilitres are there in fourty-four fifths of a litre?
8800
What is 11.6457264s in weeks?
0.0000192555
How many millilitres are there in one quarter of a litre?
250
What is fourty-two fifths of a kilogram in grams?
8400
How many litres are there in 959.809ml?
0.959809
What is fourty-eight fifths of a centimeter in millimeters?
96
What is 1/24 of a century in months?
50
What is three fifths of a litre in millilitres?
600
What is 271.0798 millilitres in litres?
0.2710798
What is 3/8 of a century in months?
450
How many millilitres are there in 1592.661l?
1592661
How many milligrams are there in 49865.2 grams?
49865200
How many nanograms are there in 5/4 of a microgram?
1250
What is 316.6382l in millilitres?
316638.2
Convert 772.7901 weeks to nanoseconds.
467383452480000000
What is 6/25 of a kilometer in centimeters?
24000
How many seconds are there in 1/10 of a hour?
360
What is 6/25 of a millimeter in micrometers?
240
How many years are there in 7579.97 centuries?
757997
How many millilitres are there in five eighths of a litre?
625
How many millilitres are there in 6/25 of a litre?
240
How many milliseconds are there in 1/10 of a second?
100
How many meters are there in 950503.6 nanometers?
0.0009505036
What is 70.69383 millennia in decades?
7069.383
What is 5/4 of a litre in millilitres?
1250
What is 325631.5ug in milligrams?
325.6315
How many micrometers are there in 6/25 of a millimeter?
240
What is 97973.71g in kilograms?
97.97371
How many millilitres are there in 7/8 of a litre?
875
How many years are there in thirteen quarters of a century?
325
What is 309.0806 hours in nanoseconds?
1112690160000000
What is 19/4 of a litre in millilitres?
4750
Convert 0.6300843ng to micrograms.
0.0006300843
What is 9293.944km in centimeters?
929394400
What is 6/5 of a milligram in micrograms?
1200
Convert 8414.38ng to kilograms.
0.00000000841438
What is seventeen quarters of a litre in millilitres?
4250
How many micrograms are there in 4015.141 tonnes?
4015141000000000
What is 14.07338 millilitres in litres?
0.01407338
What is 9469.361g in nanograms?
9469361000000
What is 3/10 of a meter in centimeters?
30
How many centuries are there in 246643.4 decades?
24664.34
How many months are there in 6/25 of a millennium?
2880
Convert 620.8398s to minutes.
10.34733 | {
"pile_set_name": "DM Mathematics"
} |
replacement from ifkiiffiiif?
6/55
Two letters picked without replacement from {z: 8, v: 7, x: 2, f: 2}. What is prob of sequence zx?
8/171
Calculate prob of sequence lll when three letters picked without replacement from {t: 2, l: 11}.
15/26
Calculate prob of sequence qa when two letters picked without replacement from gdajadjddadqgjajd.
1/68
Calculate prob of sequence hq when two letters picked without replacement from hhhqhhqhqhhqqh.
45/182
What is prob of sequence sfsc when four letters picked without replacement from {c: 2, s: 4, g: 1, f: 4}?
2/165
Two letters picked without replacement from ifgwiiwigwvwyvf. What is prob of sequence ii?
2/35
What is prob of sequence gst when three letters picked without replacement from pgptssvppgvgvvpgp?
1/510
Four letters picked without replacement from {b: 3, w: 2, g: 1, h: 1, d: 3, u: 1}. What is prob of sequence gwwb?
1/1320
Calculate prob of sequence cis when three letters picked without replacement from ciccvcmmsc.
1/144
Three letters picked without replacement from lxxvxlnxvllxxxxnlvx. Give prob of sequence xnl.
5/323
Calculate prob of sequence cjc when three letters picked without replacement from {j: 3, c: 4}.
6/35
Three letters picked without replacement from ghyyyypyyyyyyygyypy. Give prob of sequence gpg.
2/2907
Calculate prob of sequence fb when two letters picked without replacement from bfbbfffbbb.
4/15
Calculate prob of sequence aq when two letters picked without replacement from nxpnppannxq.
1/110
Calculate prob of sequence qqz when three letters picked without replacement from {t: 2, z: 7, q: 2}.
7/495
Four letters picked without replacement from {g: 5, j: 5, b: 1, r: 3, d: 1}. Give prob of sequence jbgj.
5/1638
Three letters picked without replacement from {n: 1, b: 6, o: 1, q: 2, y: 5, k: 2}. What is prob of sequence qbq?
1/340
What is prob of sequence wgw when three letters picked without replacement from {h: 2, w: 3, e: 1, g: 1}?
1/35
What is prob of sequence tni when three letters picked without replacement from tinkn?
1/30
Four letters picked without replacement from {i: 3, q: 3, x: 1, o: 7}. Give prob of sequence qoix.
3/1144
What is prob of sequence go when two letters picked without replacement from ooogoooooooogooooooo?
9/95
Two letters picked without replacement from {a: 3, b: 1}. What is prob of sequence ab?
1/4
Four letters picked without replacement from yytynynxntsynyntnx. Give prob of sequence tsnt.
1/2040
What is prob of sequence rcr when three letters picked without replacement from rcccrrrrcrrrrrcr?
55/336
Three letters picked without replacement from {o: 4, q: 6}. Give prob of sequence ooo.
1/30
Calculate prob of sequence nzz when three letters picked without replacement from {z: 5, n: 2}.
4/21
Calculate prob of sequence yy when two letters picked without replacement from yggygygyyggggygy.
7/40
Calculate prob of sequence xu when two letters picked without replacement from nuxnxxxn.
1/14
Calculate prob of sequence fff when three letters picked without replacement from {l: 6, f: 7}.
35/286
What is prob of sequence ud when two letters picked without replacement from uuduuauuau?
7/90
Calculate prob of sequence cf when two letters picked without replacement from {c: 1, f: 1, n: 1, g: 2, b: 1, k: 1}.
1/42
Two letters picked without replacement from dcld. Give prob of sequence ld.
1/6
Three letters picked without replacement from uxoosohoswss. Give prob of sequence usx.
1/330
What is prob of sequence sts when three letters picked without replacement from {t: 1, s: 6, h: 4}?
1/33
Calculate prob of sequence il when two letters picked without replacement from lliliilliliii.
7/26
What is prob of sequence ins when three letters picked without replacement from shyyssisniinssnisisy?
1/57
Calculate prob of sequence ubuu when four letters picked without replacement from {b: 3, p: 3, u: 7}.
21/572
Two letters picked without replacement from ssnnnswswnnnsnno. What is prob of sequence ss?
1/12
What is prob of sequence hy when two letters picked without replacement from yuuuhuunuuuuuuu?
1/210
Four letters picked without replacement from temtetyyeyttyyy. What is prob of sequence tymt?
1/273
What is prob of sequence gal when three letters picked without replacement from yiaaaaigiaiiilail?
1/340
Calculate prob of sequence zzj when three letters picked without replacement from jjzzjzjzzzzzjjzzzz.
11/68
What is prob of sequence uuuu when four letters picked without replacement from jjkujkuhkkkjjuukku?
1/612
Calculate prob of sequence fgii when four letters picked without replacement from {g: 4, i: 4, y: 1, f: 7, s: 2, z: 1}.
7/1938
Calculate prob of sequence oqc when three letters picked without replacement from qocccmqmcmycf.
5/858
Two letters picked without replacement from wsswswwswswsssgww. Give prob of sequence ww.
7/34
Calculate prob of sequence nb when two letters picked without replacement from nmbmmbbbnbmbnnm.
4/35
Three letters picked without replacement from ybyglllggglly. Give prob of sequence gll.
20/429
Two letters picked without replacement from ffsr. What is prob of sequence rf?
1/6
Three letters picked without replacement from {t: 2, b: 1, l: 1, y: 2}. What is prob of sequence tbl?
1/60
What is prob of sequence qy when two letters picked without replacement from pyyyq?
3/20
What is prob of sequence bb when two letters picked without replacement from {b: 2, o: 3}?
1/10
What is prob of sequence yib when three letters picked without replacement from {i: 3, g: 3, y: 1, z: 1, b: 1, s: 6}?
1/910
Three letters picked without replacement from {l: 1, u: 1, m: 2, v: 1, a: 1, z: 1}. Give prob of sequence alz.
1/210
Calculate prob of sequence tf when two letters picked without replacement from {f: 2, u: 2, h: 2, g: 1, t: 5, v: 2}.
5/91
What is prob of sequence nv when two letters picked without replacement from {g: 6, x: 1, n: 1, w: 2, v: 9}?
1/38
Two letters picked without replacement from eiqqjjqjenq. Give prob of sequence qj.
6/55
What is prob of sequence vt when two letters picked without replacement from qqqgthtghhttvwwgq?
1/68
Three letters picked without replacement from {w: 9, d: 4, k: 2, b: 4}. Give prob of sequence bwd.
8/323
Calculate prob of sequence zt when two letters picked without replacement from izipitq.
1/42
What is prob of sequence vlv when three letters picked without replacement from lvrvlrtrhprpprplrl?
1/612
Three letters picked without replacement from {s: 2, r: 2, m: 1, b: 1, t: 1}. What is prob of sequence bts?
1/105
What is prob of sequence jj when two letters picked without replacement from jjjjjjjjj?
1
What is prob of sequence mmm when three letters picked without replacement from fmfmmff?
1/35
Two letters picked without replacement from wwrwbwrwr. What is prob of sequence rw?
5/24
Calculate prob of sequence euek when four letters picked without replacement from jeeeajjaeakkauaee.
1/952
Calculate prob of sequence of when two letters picked without replacement from {f: 2, o: 1, k: 1}.
1/6
Four letters picked without replacement from pjjjpp. Give prob of sequence pjjj.
1/20
Calculate prob of sequence cot when three letters picked without replacement from {c: 1, g: 1, t: 3, o: 2}.
1/35
Three letters picked without replacement from jdjdjdjdjjjdj. What is prob of sequence jdj?
70/429
Calculate prob of sequence vzv when three letters picked without replacement from zzzzzzzvzvvzzzzz.
13/560
What is prob of sequence boko when four letters picked without replacement from koyktyb?
0
What is prob of sequence ffff when four letters picked without replacement from ffffii?
1/15
Calculate prob of sequence bnm when three letters picked without replacement from bnbbbbbnmbbbmbmbb.
3/170
What is prob of sequence jv when two letters picked without replacement from {m: 2, v: 1, l: 1, o: 2, j: 2}?
1/28
Calculate prob of sequence jn when two letters picked without replacement from njfjjvfffn.
1/15
Three letters picked without replacement from lexelclllaxclleeee. Give prob of sequence xcc.
1/1224
Three letters picked without replacement from hxxddxpxdrdxx. Give prob of sequence prd.
1/429
Three letters picked without replacement from {x: 2, s: 2, o: 1, y: 1, m: 1, b: 1}. What is prob of sequence sso?
1/168
What is prob of sequence eeee when four letters picked without replacem | {
"pile_set_name": "DM Mathematics"
} |
rounded to the nearest ten thousand?
9230000
Round -52.866412 to the nearest integer.
-53
What is -0.0023622935 rounded to 4 decimal places?
-0.0024
Round -171.430782 to the nearest 10.
-170
What is -7546168.757 rounded to the nearest 1000000?
-8000000
Round 0.000927887244 to seven dps.
0.0009279
Round 0.357623754 to one decimal place.
0.4
Round 98551500 to the nearest 100000.
98600000
Round -387.892216 to the nearest one hundred.
-400
What is 0.0071700056 rounded to 2 decimal places?
0.01
What is 0.0000042681333 rounded to seven dps?
0.0000043
What is -11153869 rounded to the nearest 10000?
-11150000
Round 0.0000040274855 to 6 dps.
0.000004
Round 59989.431 to the nearest 1000.
60000
What is 22.838966366 rounded to 4 dps?
22.839
What is -0.07092376 rounded to 2 dps?
-0.07
What is 2976.0141 rounded to the nearest ten?
2980
Round -0.0000412583754 to seven dps.
-0.0000413
Round -18.91009008 to 3 dps.
-18.91
What is -1024.32594 rounded to the nearest ten?
-1020
What is -5371.3993 rounded to 0 decimal places?
-5371
What is -6484.48633 rounded to the nearest integer?
-6484
Round 348.157827 to zero decimal places.
348
What is 0.0179959152 rounded to 4 decimal places?
0.018
What is 1292432.68 rounded to the nearest 100000?
1300000
Round 0.326288587 to three decimal places.
0.326
Round -491825651 to the nearest ten thousand.
-491830000
What is 1105717.52 rounded to the nearest 1000?
1106000
Round 0.216779952 to 2 dps.
0.22
Round 0.0021240956 to five decimal places.
0.00212
Round 0.003096874987 to five decimal places.
0.0031
Round -1113922321 to the nearest one million.
-1114000000
What is -7932802 rounded to the nearest one thousand?
-7933000
What is -0.14919417 rounded to 2 dps?
-0.15
What is -10.561324292 rounded to one decimal place?
-10.6
What is -0.00079891324 rounded to seven dps?
-0.0007989
What is 0.010070184 rounded to three decimal places?
0.01
What is 285.5641151 rounded to the nearest one hundred?
300
Round 0.00773647939 to seven decimal places.
0.0077365
What is 0.0004059685891 rounded to seven decimal places?
0.000406
Round -121879451.09 to the nearest 1000000.
-122000000
Round 188501.551 to the nearest one thousand.
189000
Round -279.8051667 to the nearest ten.
-280
Round -2.2929712 to 2 decimal places.
-2.29
What is -1.326729782 rounded to 2 decimal places?
-1.33
Round -76.06731591 to one decimal place.
-76.1
What is -27.0479833 rounded to one dp?
-27
What is -0.760551329 rounded to 1 dp?
-0.8
What is 0.55119227 rounded to one dp?
0.6
Round -0.1364729489 to two decimal places.
-0.14
What is 22.8470938 rounded to the nearest integer?
23
What is 0.000001014592333 rounded to 7 decimal places?
0.000001
What is -5.935489561 rounded to four decimal places?
-5.9355
Round -0.0748458 to 2 decimal places.
-0.07
What is 65.1945384 rounded to 1 dp?
65.2
Round -58697185.32 to the nearest 1000000.
-59000000
What is 0.280206493 rounded to 4 dps?
0.2802
Round -2382002080 to the nearest 1000000.
-2382000000
Round 2.1232206 to four dps.
2.1232
What is 2927.21894 rounded to zero decimal places?
2927
Round -0.00038385572 to 7 decimal places.
-0.0003839
Round -0.002660901622 to 7 dps.
-0.0026609
Round -0.00003090776689 to 6 decimal places.
-0.000031
What is -0.022345973 rounded to four dps?
-0.0223
Round -0.16796402453 to 6 decimal places.
-0.167964
What is -0.4665533728 rounded to three dps?
-0.467
What is -58361227.5 rounded to the nearest one million?
-58000000
What is -0.00000151246 rounded to 5 dps?
0
Round -0.0810038102 to 5 dps.
-0.081
Round -8617.9431 to the nearest 100.
-8600
Round 45863478990 to the nearest 1000000.
45863000000
Round -25975.98674 to the nearest one thousand.
-26000
What is 0.000001794981 rounded to six dps?
0.000002
Round 59.704989 to 1 dp.
59.7
Round 0.05705871034 to 5 decimal places.
0.05706
Round 1344308.1058 to the nearest ten thousand.
1340000
Round -0.00117930109 to four decimal places.
-0.0012
Round -19.974996 to 0 dps.
-20
What is -0.01763895701 rounded to 2 dps?
-0.02
Round 0.002999991 to three decimal places.
0.003
Round -0.02611444585 to five decimal places.
-0.02611
What is 3570.91547 rounded to the nearest 100?
3600
Round 56.511841 to the nearest 10.
60
What is 0.0002296177184 rounded to seven decimal places?
0.0002296
Round 66.43417213 to the nearest integer.
66
Round -0.508464939 to 4 decimal places.
-0.5085
What is 35029.09935 rounded to the nearest one thousand?
35000
What is -2601586.73 rounded to the nearest one hundred?
-2601600
What is -1732382840 rounded to the nearest one hundred thousand?
-1732400000
Round 17366.574 to the nearest 1000.
17000
What is -13141954.9 rounded to the nearest one hundred thousand?
-13100000
What is 1001.5765 rounded to 0 decimal places?
1002
Round -981977.948 to the nearest one thousand.
-982000
Round -15033192.73 to the nearest one thousand.
-15033000
What is -211.6209556 rounded to three decimal places?
-211.621
Round -0.00397643229 to 4 decimal places.
-0.004
Round -0.226785745 to 2 dps.
-0.23
What is 132.396169 rounded to the nearest ten?
130
Round -0.091997185 to 2 decimal places.
-0.09
What is 0.00260862221 rounded to six decimal places?
0.002609
Round 7.3871498 to three decimal places.
7.387
Round 654.19251 to one dp.
654.2
Round 27499.33145 to the nearest one hundred.
27500
Round -286975696 to the nearest one million.
-287000000
Round 3657972.26 to the nearest 10000.
3660000
Round 8709.251479 to the nearest ten.
8710
What is 354.82191 rounded to 2 decimal places?
354.82
What is -0.000084305848 rounded to seven decimal places?
-0.0000843
What is 0.155420955 rounded to two dps?
0.16
What is -3089.6871 rounded to the nearest integer?
-3090
Round 0.01214480154 to three decimal places.
0.012
What is 110.4059455 rounded to three decimal places?
110.406
What is -413512.66 rounded to the nearest 100?
-413500
What is -3443348690 rounded to the nearest one million?
-3443000000
What is -265227.77 rounded to the nearest 1000000?
0
Round 15867330.28 to the nearest one million.
16000000
Round 0.7336820566 to two dps.
0.73
What is -0.00000062406482 rounded to 7 dps?
-0.0000006
What is 4722158.8 rounded to the nearest one million?
5000000
Round -28.95938628 to zero decimal places.
-29
What is 1176455.49 rounded to the nearest one hundred thousand?
1200000
What is 53421.4799 rounded to the nearest 10?
53420
Round 45.348271 to one decimal place.
45.3
What is -105297245 rounded to the nearest 10000?
-105300000
What is -0.888744461 rounded to two decimal places?
-0.89
What is 128401.8334 rounded to the nearest 1000?
128000
What is 88724.7 rounded to the nearest one hundred?
88700
Round 143233.492 to the nearest one thousand.
143000
What is -38.10872146 rounded to one decimal place?
-38.1
What is 18.143192 rounded to 0 decimal places?
18
Round -160308725 to the nearest 1000000.
-160000000
What is 192.5248379 rounded to 0 decimal places?
193
Round -0.00007743078735 to five decimal places.
-0.00008
Round -1.0646755497 to three dps.
-1.065
What is 0.0000129791256 rounded to six decimal places?
0.000013
Round 0.00102473401 to 7 dps.
0.0010247
Round -11223743.82 to the nearest 100.
-11223700
What is 3788377.8 rounded to the nearest 100?
3788400
What is -0.00016847154 rounded to 5 dps?
-0.00017
What is 60993389550 rounded to the nearest 1000000?
60993000000
What is -9409.63659 rounded to zero dps?
-9410
Round -38473348 to the nearest one hundred thousand.
-38500000
What is 0.025234804 rounded to 5 dps?
0.02523
What is 6076390.44 rounded to the nearest 1000000?
6000000
What is 5808.5005 rounded to the nearest one hundred?
5800
What is 177158.711 rounded to the nearest 1000?
177000
What is 997.00687 rounded to the nearest ten?
1000
Round -682165.7 to the nearest one thousand.
-682000
Round 0.0000193006871 to 7 dps.
0.0000193
What is 0.0000681070725 rounded to five decimal places?
0.00007
Round -0.00000705598221 to six decimal places.
-0.000007
What is 0.00641070069 rounded to three decimal places?
0.006
What is 9705.1879 rounded to 0 decimal places?
9705
What is 2326.031085 rounded to the nearest one hundred?
2300
What is 77744060 rounded to the nearest one million?
78000000
Round -3290777724 to the nearest one hundred thousand.
-3290800000
Round 0.008800997324 to five dps.
0.0088
Round 21130.908 | {
"pile_set_name": "DM Mathematics"
} |
*2 - 6*a + 28. Determine t(-9).
1
Let b(z) = 210*z - 1047. Give b(5).
3
Let l(v) = v**3 - 10*v**2 - 19*v + 248. What is l(9)?
-4
Let m(y) = -263*y + 530. Calculate m(2).
4
Let o(i) = -145*i - 1445. Determine o(-10).
5
Let v(a) = -61*a**2 + 2*a + 2. What is v(-1)?
-61
Let m(t) = 4*t - 7. Calculate m(3).
5
Let x(y) = -y**2 - 22*y + 3. Give x(-24).
-45
Let p(m) = m**3 - 3*m**2 + m - 6. Give p(3).
-3
Let v(l) = l**2 - 6*l - 5. Determine v(-4).
35
Let f(v) = -2*v**3 - 13*v**2 - 3*v - 7. What is f(-6)?
-25
Let s(v) = v**2 + 13*v + 9. Calculate s(-11).
-13
Let x(b) = 19*b**2 + b - 1. What is x(2)?
77
Let y(h) = h**3 - 2*h - 3. Calculate y(-2).
-7
Let r(s) = -2*s - 5. Give r(-5).
5
Let n(m) = 2*m**2 - 29*m - 22. Determine n(15).
-7
Let l(s) = -3*s + 11. Calculate l(5).
-4
Let x(z) = 2*z + 14. Give x(-2).
10
Let s(j) = 5*j - 4. Give s(0).
-4
Let q(m) = -62*m**2 + 2*m + 1. Calculate q(-1).
-63
Let p(b) = -b**3 - 14*b**2 - 13*b + 12. Determine p(-13).
12
Let t(h) = -h**3 + 12*h**2 - 7*h - 38. Calculate t(11).
6
Let q(p) = -5*p - 8. Give q(-3).
7
Let s(t) = t**3 + 6*t**2 - 16*t + 10. Calculate s(-9).
-89
Let j(o) = o**3 - 19*o**2 + 6. What is j(19)?
6
Let l(i) = 7*i**2 + 20*i + 12. What is l(-2)?
0
Let s(t) = t**2 - 24*t + 93. What is s(17)?
-26
Let z(h) = -h**2 + 4*h + 9. Calculate z(6).
-3
Let z(r) = -r**3 + 22*r**2 - 40*r + 7. What is z(20)?
7
Let n(v) = v**3 + 32*v**2 - 34*v - 21. Give n(-33).
12
Let b(q) = 2*q**3 - 5*q**2 + 2*q - 1. Calculate b(3).
14
Let u(n) = n**2 + 2*n - 4. Give u(-5).
11
Let u(n) = n**3 - 6*n**2 + 8*n - 4. Calculate u(3).
-7
Let d(j) = -j + 26. What is d(-23)?
49
Let u(b) = -4*b - 43. Give u(-10).
-3
Let m(t) = -13*t + 81. Calculate m(13).
-88
Let i(h) = -21*h. Calculate i(3).
-63
Let d(x) = x**2 + 19*x + 13. Determine d(-17).
-21
Let u(a) = -a**2 + 5*a + 2. Determine u(6).
-4
Let r(w) = -8*w**2 + 86*w + 21. Determine r(11).
-1
Let c(m) = -m**2 + 16*m + 13. Calculate c(17).
-4
Let b(q) = -q**3 + 2*q**2 - 4*q + 1. Determine b(4).
-47
Let d(f) = -f**2 - 13*f + 5. Determine d(-13).
5
Let u(g) = 2*g - 3. Give u(-8).
-19
Let z(o) = 6*o + 12. Determine z(-2).
0
Let a(p) = -3*p - 1. Give a(1).
-4
Let t(r) = r**3 + 23*r**2 + 41*r - 16. Determine t(-21).
5
Let w(c) = -c**3 + 16*c**2 - 16*c + 17. Calculate w(15).
2
Let r(v) = -v**3 - 20*v**2 + 19*v - 39. Determine r(-21).
3
Let l(t) = -t**3 - 4*t**2 - 4*t - 2. Give l(-5).
43
Let x(z) = -z**3 - z**2 - 6. Give x(0).
-6
Let j(d) = -d + 4. Calculate j(-1).
5
Let w(j) = 6*j + 150. Calculate w(-24).
6
Let n(a) = -4*a + 46. What is n(11)?
2
Let i(u) = 2*u - 11. What is i(6)?
1
Let t(j) = -2*j**2 + j + 2. Calculate t(2).
-4
Let y(b) = -b**3 + 17*b**2 - 17*b + 30. Determine y(15).
225
Let t(v) = -v. Calculate t(-8).
8
Let b(n) = -n**3 - 19*n**2 - 35*n - 16. What is b(-17)?
1
Let s(t) = 2*t**2 + 6. Give s(0).
6
Let k(c) = -c**3 - 2*c + 6. Give k(3).
-27
Let j(a) = -a**2 + 9*a - 2. Determine j(8).
6
Let c(t) = -8*t**3 + 2*t**2 - 2*t - 2. Give c(-2).
74
Let p(m) = -m**2 - 29*m + 2. Determine p(-29).
2
Let d(r) = -4*r**3 - r**2 + 2*r + 1. Determine d(-2).
25
Let m(z) = 13*z - 2. Give m(1).
11
Let h(k) = -7*k - 8. Calculate h(-4).
20
Let r(u) = -u**3 + 8*u**2 + 6*u + 17. What is r(9)?
-10
Let o(l) = -l**3 - 15*l**2 - 25*l + 22. Determine o(-13).
9
Let x(z) = -z**3 - 6*z**2 + 3*z + 11. Calculate x(-6).
-7
Let b(a) = -2*a**3 - 11*a**2 - 11*a + 7. What is b(-6)?
109
Let z(m) = m**2 + 8*m + 2. Give z(-8).
2
Let r(d) = -33*d - 498. Calculate r(-15).
-3
Let d(v) = v**3 - 6*v**2 + v. Determine d(4).
-28
Let c(l) = l**2 + l + 28. Determine c(6).
70
Let o(z) = z**3 - 4*z**2 - 4*z - 11. Determine o(5).
-6
Let c(b) = -b**2 + 9*b + 6. Determine c(10).
-4
Let q(m) = 3*m - 8. Calculate q(6).
10
Let k(x) = -x**2 + 8*x - 9. Determine k(9).
-18
Let p(v) = v**3 + 2*v**2 + 2*v + 14. Determine p(-3).
-1
Let n(t) = t**2 - 42*t + 332. Determine n(11).
-9
Let o(p) = 6*p + 25. Calculate o(-13).
-53
Let i(u) = -u**2 + 13. Determine i(-3).
4
Let m(y) = 4*y - 87. What is m(23)?
5
Let t(q) = -5*q**3 + q**2 - q - 1. Determine t(-1).
6
Let l(z) = z**3 - 7*z**2 - 7*z + 3. Calculate l(8).
11
Let m(r) = r**2 + 16*r - 12. Give m(-19).
45
Let z(q) = -21*q - 167. What is z(-8)?
1
Let s(a) = a**3 + 7*a**2 + 5*a - 12. Give s(-6).
-6
Let u(h) = -6*h - 68. Calculate u(-15).
22
Let t(y) = 2*y + 8. Determine t(-9).
-10
Let k(j) = j**3 + 5*j**2 - 11*j + 9. Calculate k(-7).
-12
Let w(t) = -t**3 - t**2 + 7*t + 8. Calculate w(-4).
28
Let d(q) = q**2 - q - 22. What is d(0)?
-22
Let f(w) = w**2 - 10*w + 25. Give f(10).
25
Let k(u) = -7*u**2 - 4*u + 1. What is k(-2)?
-19
Let l(m) = -m**3 - 19*m**2 + 25*m + 72. Determine l(-20).
-28
Let y(x) = x**2 - 23*x + 85. What is y(19)?
9
Let w(j) = j**3 + 31*j**2 + 5*j + 145. Determine w(-31).
-10
Let g(i) = i**3 + 7*i**2 - 9*i - 9. What is g(-8)?
-1
Let r(g) = 7*g - 37. Determine r(3).
-16
Let b(z) = -31*z + 45. What is b(1)?
14
Let d(b) = b**2 - 4*b - 3. Give d(-2).
9
Let c(y) = y**3 - 3*y**2 + y - 1. What is c(3)?
2
Let m(g) = g**3 - 6*g**2 + 12*g - 21. Give m(3).
-12
Let d(g) = -5*g + 13. Calculate d(9).
-32
Let d(v) = 2*v**2 + 4*v. Give d(-3).
6
Let d(x) = -6*x + 129. Determine d(23).
-9
Let w(x) = 7*x - 24. Give w(2).
-10
Let i(z) = -40*z**2 - 3*z - 1. What is i(-2)?
-155
Let u(g) = -11*g**2 + 3*g. Give u(-1).
-14
Let y(q) = 3*q**3 - 22*q**2 + 2*q + 16. Calculate y(7).
-19
Let y(g) = -g**3 + 12*g**2 - 7*g - 23. Give y(11).
21
Let i(r) = r**2 - 7*r - 13. Give i(10).
17
Let v(g) = -g**2 - 5*g - 5. Determine v(-4).
-1
Let c(q) = -3*q + 146. Calculate c(49).
-1
Let t(m) = m**2 - 39*m + 316. Give t(11).
8
Let s(y) = -19*y + 30. Determine s(6).
-84
Let o(i) = -i**3 + 17*i**2 - 59*i - 14. What is o(12)?
-2
Let p(b) = -b - 4. Calculate p(-10).
6
Let s(r) = -r**3 + 7*r**2 - 4*r - 6. Calculate s(6).
6
Let u(x) = x**2 + 15*x - 11. Calculate u(-16).
5
Let l(a) = -35*a + 214. What is l(6)?
4
Let g(x) = x**2 + 20*x + 81. Give g(-11).
-18
Let o(t) = 3*t + 50. Calculate o(-11).
17
Let h(j) = -6*j. Determine h(2).
-12
Let p(n) = -13*n + 18. Calculate p(1).
5
Let a(s) = -11*s + 13. Determine a(6).
-53
Let p(y) = 2*y + 9. Give p(3).
15
Let o(m) = m**3 + 10*m**2 - m - 8. Determine o(-10).
2
Let y(s) = -91*s**2 - 3*s. Determine y(-1).
-88
Let l(d) = -22*d**2 + d - 1. What is l(1)?
-22
Let q(c) = c**3 + 5*c**2 + c + 4. Determine q(-5).
-1
Let x(b) = -b**2 + 9*b + 7. Give x(8).
15
Let u(l) = l**2 + 4*l - 19. Give u(-7).
2
Let c(r) = -r**2 + 12*r - 34. Give c(4).
-2
Let r(l) = 7*l + 90. What is r(-14)?
-8
Let q(i) = 3*i + 11. Determine q(-6).
-7
Let d(h) = -h**3 - 5*h**2 - 4*h - 4. What is d(-4)?
-4
Let s(j) = j**2 - 2*j + 5. What is s(4)?
13
Let b(h) = h**3 + 3*h**2 - 6*h. Give b(-5).
-20
Let c(f) = f**2 - 27. Determine c(5).
-2
Let t(p) = -p**3 - 18*p**2 - 16*p + 21. Calculate t(-17).
4
Let m(d) = -d + 25. Give m(11).
14
Let q(k) = 3*k**2 + 22*k + 9. What is q(-8)?
25
Let c(q) = q**3 - 3*q**2 - 4. Determine c(5).
46
Let u(q) = 2*q + 12. What is u(-10)?
-8
Let n(a) = -a**3 + 6*a**2 + 11*a - 15. Give n(7).
13
Let j(z) = 6*z**3 - 3*z**2 + 7*z - 5. Determine j(2).
45
Let t(o) = o**3 - 3*o**2 - 2*o + 1. Determine t(2).
-7
Let j(c) = -2*c**2 - 21*c - 51. Give j(-6).
3
Let k(x) = 3*x**2 + 2*x - 2. What is k(4)?
54
Let o(z) = -2*z**2 - 13*z + 23. Calculate o(-7).
16
Let k(i) = -i**3 - 5*i**2 - 6*i - 5. What is k(-4)?
3
Let g(a) = -60*a + 1. Give g(-1).
61
Let m(v) = -v**2 - 21*v - 109. Determine m(-11).
1
Let k(f) = 7*f**3 - 3*f**2 - 5*f + 6. Calculate k(2).
40
Let j(y) = 2*y**2 + 10*y + 9. Determine j(-4).
1
Let o(b) = -2*b + 7. Give o(3).
1
Let o(d) = -d**3 - 4*d**2 + 6*d - 1. What is o(-5)?
-6
Let a(u) = u**2 + 42*u - 44. What is a(-43)?
-1
Let y(b) = 3*b + 22. Determine y(-9).
-5
Let m(i) = 3*i + 80. Give m(-30).
-10
Let o(b) = -5*b + 9. Determine o(8).
-31
Let u(m) = -m**3 - 23*m**2 + 24*m - 46. Determine u(-24).
-46
Let z(d) = -5*d + 12. Calculate z(5).
-13
Let t(g) = 2*g**2 - g + 1. Give t(1).
2
Let h(x) = x - 5. What is h(10)?
5
Let u(s) = s**2 - 2*s - 7. What is u(5)?
8
Let g(r) = -4*r - 16. Calculate g(0).
-16
Let w(p) = -3*p**2 + 6*p + 8. Give w(-4).
-64
Let g(s) = -2*s**2 + 31*s + 1. Determine g(15).
16
Let a(n) = 3*n + 15. Determine a(-15).
-30
Let h(m) = 21*m**2 - m - 1. Calculate h(-1).
21
Let j(o) = 2*o**2 + o + 2 | {
"pile_set_name": "DM Mathematics"
} |
67 (base 14) to base 9
-50020
What is -185 (base 13) in base 7?
-545
-310 (base 5) to base 13
-62
-34346 (base 7) to base 4
-2020310
What is -e053 (base 15) in base 8?
-134340
-304004 (base 5) to base 16
-2697
Convert 2483 (base 9) to base 8.
3501
3300 (base 8) to base 11
1331
What is -25417 (base 9) in base 4?
-10023103
What is -14636 (base 7) in base 3?
-12121122
What is 3321413 (base 5) in base 7?
330214
What is -12a8 (base 11) in base 7?
-4634
Convert -a022 (base 13) to base 16.
-55ee
Convert 2430034 (base 5) to base 16.
b24c
Convert -bc8a (base 14) to base 6.
-411110
-1240 (base 7) to base 4
-13111
What is 620 (base 14) in base 11?
9a5
18a22 (base 12) to base 10
36026
What is 45133 (base 6) in base 12?
37a9
Convert 15791 (base 10) to base 3.
210122212
What is -25595 (base 10) in base 11?
-18259
What is -626a (base 11) in base 16?
-2070
What is 114 (base 11) in base 10?
136
Convert -1300 (base 8) to base 4.
-23000
-e2 (base 15) to base 16
-d4
21140 (base 8) to base 9
13057
What is -10c3 (base 16) in base 15?
-1411
Convert 598 (base 13) to base 4.
33022
What is 3202134 (base 5) in base 15?
10c64
-6a89 (base 11) to base 13
-42cb
Convert 3685 (base 9) to base 6.
20422
What is -16213 (base 9) in base 2?
-10101101100101
What is 7132 (base 13) in base 16?
3ce5
What is -11110000100101 (base 2) in base 7?
-62614
Convert 24014 (base 5) to base 3.
2102011
What is -12a8 (base 15) in base 10?
-3983
What is 2323 (base 5) in base 14?
1a2
Convert -472 (base 9) to base 12.
-285
Convert 2745 (base 8) to base 9.
2056
-30d (base 15) to base 11
-576
-ab (base 13) to base 7
-261
What is -253 (base 15) in base 5?
-4103
410035 (base 6) to base 9
48425
What is 401530 (base 6) in base 13?
11466
11223 (base 5) to base 16
32d
12322131 (base 4) to base 13
cb73
Convert -274 (base 8) to base 5.
-1223
What is 1020012022 (base 3) in base 5?
1233300
40155 (base 6) to base 13
2513
4014 (base 5) to base 7
1325
What is -222010 (base 4) in base 11?
-2028
861 (base 12) to base 15
56a
What is -5909 (base 12) in base 15?
-2e30
Convert -2505 (base 8) to base 6.
-10125
What is -24a6 (base 11) in base 9?
-4424
Convert -403 (base 10) to base 9.
-487
Convert -810 (base 11) to base 2.
-1111010011
What is -101111001 (base 2) in base 10?
-377
What is -362 (base 13) in base 15?
-292
Convert 37a (base 15) to base 12.
55a
What is -252 (base 14) in base 13?
-299
-1202222 (base 3) to base 13
-788
Convert 1111110111 (base 2) to base 10.
1015
Convert -100111001011111 (base 2) to base 15.
-5e28
Convert 32200 (base 5) to base 10.
2175
What is -1110022 (base 3) in base 16?
-425
Convert -10101001100 (base 2) to base 13.
-804
25474 (base 9) to base 16
4306
1060 (base 7) to base 10
385
Convert -10c4 (base 14) to base 8.
-5544
Convert -192e (base 15) to base 2.
-1010101000100
What is 1211220 (base 3) in base 12?
943
Convert -11251 (base 6) to base 7.
-4465
Convert 899 (base 14) to base 16.
6a7
Convert 2e (base 15) to base 3.
1122
-100011101010010 (base 2) to base 16
-4752
-11046 (base 7) to base 14
-1026
-7e (base 15) to base 13
-92
Convert 5357 (base 8) to base 11.
2115
26031 (base 8) to base 7
44625
-10c8 (base 13) to base 10
-2361
Convert 4196 (base 12) to base 16.
1c02
1000101001101 (base 2) to base 6
32301
What is -10001100 (base 2) in base 4?
-2030
Convert -34430 (base 5) to base 6.
-15310
a0d3 (base 16) to base 8
120323
Convert 240 (base 12) to base 6.
1320
What is 11000001 (base 2) in base 16?
c1
-53157 (base 8) to base 15
-6852
-4040 (base 7) to base 11
-1063
What is 4334121 (base 5) in base 3?
10202220100
What is 11260 (base 7) in base 11?
2192
Convert -200220101 (base 3) to base 6.
-143444
What is -4c4 (base 13) in base 2?
-1101000100
-200 (base 11) to base 2
-11110010
22846 (base 9) to base 4
3232212
Convert -26410 (base 10) to base 3.
-1100020011
What is 516 (base 14) in base 7?
2626
What is 22069 (base 11) in base 8?
76423
What is -1111100 (base 2) in base 8?
-174
257 (base 10) to base 5
2012
234554 (base 6) to base 8
50046
Convert 1021232 (base 4) to base 3.
20110202
What is -2826 (base 10) in base 5?
-42301
b3 (base 12) to base 9
160
-27b (base 16) to base 6
-2535
Convert -23001 (base 5) to base 4.
-121122
-5a4 (base 12) to base 7
-2314
What is -1000330 (base 4) in base 9?
-5627
Convert -1243322 (base 6) to base 16.
-10a42
Convert -3824 (base 9) to base 2.
-101100101001
What is 221102200 (base 3) in base 11?
12a25
100101 (base 6) to base 9
11641
-1893 (base 15) to base 16
-14c1
8cd (base 16) to base 14
b6d
What is 153100 (base 6) in base 4?
3221130
-952 (base 13) to base 12
-b04
Convert 1023 (base 7) to base 11.
2a8
Convert 101002101 (base 3) to base 2.
1110010111010
Convert 4443 (base 8) to base 15.
a5e
Convert 23000 (base 4) to base 8.
1300
What is 1141453 (base 6) in base 9?
101276
What is -3588 (base 10) in base 8?
-7004
242212 (base 7) to base 6
535431
-1a75 (base 12) to base 10
-3257
Convert 532211 (base 6) to base 8.
124417
-1487 (base 12) to base 11
-1899
What is -1d8 (base 14) in base 12?
-282
Convert 3847 (base 12) to base 2.
1100011110111
Convert -223 (base 10) to base 7.
-436
-1bbc9 (base 13) to base 11
-38155
What is 100111110100101 (base 2) in base 12?
b971
-920 (base 10) to base 14
-49a
-112 (base 3) to base 12
-12
-1321 (base 5) to base 2
-11010011
What is 1110000010110 (base 2) in base 9?
10768
1100100 (base 2) to base 12
84
3220 (base 5) to base 11
366
c3e (base 15) to base 4
223013
9192 (base 11) to base 4
2332221
1102123 (base 4) to base 8
12233
What is -1011101110011 (base 2) in base 14?
-228b
Convert -e17 (base 16) to base 11.
-278a
Convert -3004 (base 5) to base 15.
-1a4
Convert 53354 (base 9) to base 4.
20213110
Convert 638 (base 12) to base 13.
54b
What is 141 (base 6) in base 7?
115
Convert -1250 (base 15) to base 12.
-2310
-10010202000 (base 3) to base 6
-1154000
Convert b1b5 (base 15) to base 6.
445412
5a61 (base 11) to base 10
7932
Convert 6015 (base 8) to base 6.
22141
What is 115 (base 13) in base 6?
511
What is -515 (base 10) in base 15?
-245
What is -1468 (base 12) in base 15?
-a8e
What is 112200020 (base 3) in base 2?
10100111001010
4b0 (base 12) to base 3
222020
-2160 (base 13) to base 6
-33253
224101 (base 5) to base 3
102000021
Convert 12131 (base 4) to base 5.
3123
2457 (base 13) to base 16
1416
Convert -110010101010 (base 2) to base 8.
-6252
What is 194 (base 15) in base 8?
554
What is 610 (base 8) in base 14?
200
2001133 (base 4) to base 8
20137
10948 (base 12) to base 15
6828
-46081 (base 9) to base 13
-10c7b
What is -302 (base 10) in base 14?
-178
Convert b52 (base 14) to base 6.
14152
Convert 1817 (base 10) to base 2.
11100011001
502 (base 6) to base 2
10110110
Convert 11156 (base 14) to base 11.
29146
353 (base 12) to base 7
1305
224344 (base 5) to base 8
17643
Convert -624 (base 11) to base 4.
-23300
What is 13030030 (base 4) in base 9?
44354
1716 (base 8) to base 4
33032
Convert 437a (base 12) to base 5.
214223
What is 312031 (base 5) in base 16?
281a
What is 11010000101110 (base 2) in base 16?
342e
Convert -147a1 (base 13) to base 3.
-1222000222
Convert -141 (base 11) to base 8.
-246
What is 1014055 (base 6) in base 11?
33780
Convert -13d (base 14) to base 7.
-506
-922 (base 13) to base 16
-60d
-449 (base 10) to base 15
-1ee
What is 1101111110111110 (base 2) in base 14?
16c34
1101022 (base 3) to base 15
472
What is 723 (base 8) in base 10?
467
-90a (base 14) to base 6
-12114
Convert 3246 (base 8) to base 11.
1308
6152 (base 8) to base 15
e1d
What is -228 (base 13) in base 10?
-372
What is -10100010000111010 (base 2) in base 16?
-1443a
1570 (base 9) to base 16
4ad
4055 (base 7) to base 16
584
Convert -495a (base 11) to base 15.
-1dbd
What is -1cf (base 16) in base 10?
-463
-ad1 (base 16) to base 13
-1350
-1b15 (base 14) to base 9
-6665
214441 (base 6) to base 10
17881
What is -13471 (base 14) in base 3?
-2102012102
Convert -10010012 (base 3) to base 9.
-3105
203 (base 9) to base 15
b0
Convert -22a (base 11) to base 9.
-334
What is -103002213 (base 4) in base 15?
-18196
Convert 805 (base 11) to base 7.
2560
-15056 (base 7) to base 6
-31125
What is 17287 (base 9) in base 5?
340110
111211 (base 3) to base 13
229
-2201012 (base 3) to base 13
-b90
-7aa1 (base 12) to base 14
-4d97
Convert -33104 (base 10) to base 15.
-9c1e
Convert 5503 (bas | {
"pile_set_name": "DM Mathematics"
} |
394 + -234. Let c = 163 - n. Solve h*x - 2*q + 11 = 0, -3*x = x - c*q + 13 for x.
-1
Let l be 1617/154 + (3 + 5/(-10))*-1. Solve -15*s + 8 = -16*s - 3*i, -3*s - i = l for s.
-2
Suppose -4*y = 3*a - 34 + 6, 4*a = 4*y. Solve -g = -2*h - 4*g - 5, -a*g = 4*h for h.
5
Suppose 3*i - 234 = -3*b + 306, 4*b - 723 = -3*i. Let u = -178 + b. Solve -o = c - u, o - 5*c + 23 = 4*o for o.
1
Let s be 3 + 18/(-2) - (-7 - -8)*-31. Solve 3*l - l + s = 5*t, -3*t = l - 15 for l.
0
Let z(y) = -4*y**2 + 301*y + 256. Let u be z(76). Solve -3*c - 13 = -5*q, u = 4*q + 5*c - 12 for q.
5
Let t = -55 - 135. Let v be 38/t + 202/10. Solve 5*g + v = d, 8*g - 4*d + 20 = 3*g for g.
-4
Let k be 228/380 + (-7)/(-5). Let i be (k/36 - (-1)/6)*9. Solve 0 = -2*a + 5*v + 22, i*a = -3*v + 4*v + 6 for a.
1
Suppose -2*z - 2*z + 2*w - 1626 = 0, -2*w = -2. Let p = z + 408. Solve p*g + 2 = v, -v + 6*v = 0 for g.
-1
Suppose 23*p = 293 + 6. Solve g = 3*u - p, -3*u - 6 + 3 = 3*g for g.
-4
Suppose 3*y = -2*b + b + 10, -2*b = 2*y - 24. Let a = 2575 - 2570. Solve 0*k = 3*k + w + b, a*k + w = -21 for k.
-4
Let y be (-1 - (-4)/(-3))/((-30)/90). Suppose -16*h = -y*h - 36. Solve -5*x + h*l - 27 = 0, 5*x = 2*l - 13 - 8 for x.
-3
Let j be -3 + (-8)/(-20)*20. Solve 2*t - 3 + 13 = 2*m, -m = j*t - 5 for m.
5
Let v = -12 - -21. Suppose 0 = a + h + 40 - 38, 4*h + 35 = 5*a. Solve 0 = -5*n - 2*f + v + 6, a*n = -3*f + 9 for n.
3
Let o(x) = -x**3 + 12*x**2 - 8*x - 7. Let v be o(11). Solve 5*j = -2*h - v, 3*h = 4*j + 4 + 3 for h.
-3
Suppose 2*f + 12 = 5*f. Let a = 86 + -79. Let h(v) = -v**3 + 8*v**2 - 9*v + 17. Let r be h(a). Solve -f*d + 2*z - 5 = z, -d + r*z = 4 for d.
-1
Let w be 4*8*(-270)/(-576). Solve -7*v - 3*x = 9, 9 = -v + 2*x + w for v.
0
Suppose 27*h - 31*h = -3*v + 125, -5*v + 155 = 4*h. Solve 3*z + v = -3*u - 2*z, -32 = 4*u + 3*z for u.
-5
Let t = 56 - 8. Suppose -c - 11*c + t = 0. Solve -4*u = b - c, 2*u - 2*b + 8 = -3*u for u.
0
Let h = -6 - -10. Suppose -10 = -z - 4*w - 22, 3 = -2*z - w. Suppose z*j + 8 = 4*j. Solve 11 = -c - h*y, -c - j*y - 10 = c for c.
-3
Suppose 2*m + 2*o = m + 4, 4*o + 20 = 5*m. Suppose 5*p - q = 9, -3*p - 3 = 13*q - 15*q. Solve -m*k - 7 = -2*t - t, 2*k - 1 = -p*t for k.
-1
Let f be (-1)/((-3)/(-2))*138. Suppose -99 = -2*d - 3*c, 5*d - 240 = -c - 4*c. Let b be (-10)/d + f/(-9). Solve -m - m = -2*z, -3*z - b = -m for z.
-5
Let w = -17351 - -17354. Solve -2*t = u - 4, t - 6*t = -w*u - 43 for t.
5
Let j = 58 - 58. Suppose j = 5*c + 14 - 34. Suppose -2*a = 4*i - 22, -c*i + a = -5*i + 7. Solve -2*h = -3*h - 4*q - 9, -12 = i*q for h.
3
Suppose -82 = 12*o - 214. Suppose 0 = 4*x + x - 80. Suppose o*g - x*g = -40. Solve 8 = -g*a + 3*a - 2*h, 5*a = -h - 9 for a.
-2
Let d(j) = -2*j + 4. Let y be d(-7). Suppose -27*w + y = -24*w. Suppose w*c = -c + 35. Solve -2*v = 10, 0*p + 5 = c*p - 5*v for p.
-4
Let d = 67 + -63. Let y be (((-800)/(-30))/(-8))/(d/(-6)). Solve 2*i - 4*q - 18 = 0, 4 = -y*i - 3*q - 3 for i.
1
Let m be 6 + 35/(-7) + 2. Solve 21 = -3*k - 5*p, 4*k - m*p - p - 4 = 0 for k.
-2
Let h(i) = -2*i**3 + 46*i**2 - 4*i + 96. Let u be h(23). Solve 21 = -3*w - 5*z, -z = -5*w - 3 - u for w.
-2
Let w be (6 + -3 - -12)*39/65. Suppose -4*d - 10 = -w*d. Solve -4*b - b - 4 = -4*o, 0 = d*b for o.
1
Let f be 3/((-4)/(-28)*3). Suppose -f*t = -10*t. Let o = -684 + 687. Solve 0 = 4*q - 2*y - 8, t = -o*y - 2*y + 20 for q.
4
Let a = -32 - -18. Let k be (-28)/(-6) - a/(-21). Suppose 4*f - 2*f = -k*f. Solve f*z - 4*z - 19 = d, -4*z - 16 = 0 for d.
-3
Suppose 5*t + 8 = n + 28, 8*t - 18 = 3*n. Solve p + 7 = 0, 77*u - n = 79*u + 2*p for u.
2
Suppose -5*d - 2*m = -5 - 7, 2*d = -2*m. Let b = -17 - -45. Suppose 0 = 5*t - x - b, 3*x = -3*t + 5*t - 19. Solve t*j = 2*g - 3 - 9, d*g = -2*j for j.
-2
Let p be 1/(12 + (-826)/70). Solve 69 = p*c + 2*o + 52, 0 = 2*c - 4*o - 2 for c.
3
Let l = -62 + 53. Let t be ((-87)/l)/(5/15). Let s = 11 + -6. Solve 5*c + k - t = 0, s*c - 9 = 5*k - 4 for c.
5
Suppose 108 = -796*v + 850*v. Solve h - s = 2*s, -4*s = -v*h for h.
0
Let c = -14668 - -14673. Let j = -2 - -9. Solve 0 + 1 = 4*a - 3*u, -c*a + u - j = 0 for a.
-2
Suppose -4*h = 4*b + 8, 52*b - 48*b - 32 = 4*h. Solve 3*r + 110*f + b = 105*f, -4 = 4*r - 5*f for r.
-1
Let p be -21*(7 + (-220)/28). Solve -2*v + 0*v + p = 4*c, -3*c - 4*v = -16 for c.
4
Let j(x) = 17*x + 184. Let r be j(-7). Let p = r - 65. Solve 0*y - 2*y - f + 12 = p, -f = -y + 3 for y.
5
Let t(o) = -o**3 + 10*o**2 + 9*o - 16. Let m be t(11). Let p = m - -32. Let l be (-33)/(-2) + 1/p*3. Solve 20 = -5*r - 2*s, -4*r = -s - 0*s + l for r.
-4
Suppose -4*o = 148 + 564. Let m = o - -180. Let r be 2/5 - (-8)/5. Solve 2*k - r*g = 10, -m*g + 3*g = 3*k - 15 for k.
5
Suppose 5*y = 3*k + 8, 0 = -0*k - k + 4. Let o = 0 + 2. Suppose o*j + j = 0. Solve -2*m = y*r - 22, r - 7*m + 2*m + 22 = j for r.
3
Let b(c) = -c**2 - 11*c + 434. Let o be b(16). Solve -5*y = 4*z - 14, 12*z - 3 = -o*y + 13*z for y.
2
Suppose -16 = -4*j + f, 5*j - 19 = -5*f + 6*f. Suppose -12 - j = -5*w. Suppose w*k - 48 = -36. Solve -2*r = -5*g - r + 5, 0 = -g + k*r - 18 for g.
2
Let x = -88 - 67. Let w = -152 - x. Solve 0 = -w*v + 5*f - 2*f + 6, -5*f = -v - 6 for v.
4
Let d(k) = -514*k + 5656. Let j be d(11). Let q be (58/(-8))/(1/(-4)). Solve -j*n = 3*v + 23, 4*n + 7 = -4*v - q for n.
-4
Let n(m) = 2*m**2 - m + 1. Let h be n(-2). Suppose -24*x - 4*x + 56 = -0*x. Solve i - g - 7 = 4*i, h = -5*i - x*g for i.
-3
Suppose -10 = -4*w + 22. Suppose w*k - 10 = 3*k. Suppose k*y + 6 = 30. Solve -5*z - y = 4*a, 0 = 4*a - 2*a - 3*z - 16 for a.
2
Suppose 0 = 2*k + 2*k. Solve k = 5*m + 4*x - 6, 2*x - 6*x + 18 = -m for m.
-2
Let y(w) = -w**3 - 2*w**2 - 41*w + 112*w - 75*w - 17. Let z be y(-4). Solve -5*l + 4*d - 2*d - z = 0, 5*l = -d - 22 for l.
-5
Suppose 34*q - 3*j = 39*q + 10, 19 = 4*q - 3*j. Solve -b = y - 4, 2*y - 15 + q = -4*b for b.
3
Suppose 0 = -0*o - 2*o + 38. Suppose -4*v - 3 + o = 0. Let z be ((-3)/9)/(2/(-36)). Solve 4*a + 14 = -2*i, -a = v*i - z*i - 9 for a.
-1
Let l be ((-21)/(-14))/(3/10). Solve -4*r + 3*r - 9 = -l*m, 15 = -5*r - 5*m for r.
-4
Let p = -1851 + 1854. Let w = 5 + -1. Suppose u - w*u = -42. Solve -4*r - u = 2*s, 4 = 5*s + p*r - 6*r for s.
-1
Let t = -2059 - -2078. Solve 0 = -2*c + 5*w + 19, 4*c - c + 2*w = -t for c.
-3
Let d(k) = k**3 + 5*k**2 - 3*k - 18. Let v be d(-2). Solve -2*h + s + 4 = v, -2*h = -h + 3*s - 2 for h.
2
Let q be (16/5 - 4)*-5. Suppose 0 = -4*b + u + 17, 19 + 1 = -q*u. Suppose 15*a = -6 + 96. Solve 5*r + b*g = 2*g - 4, r = 5*g - a for r.
-1
Suppose 0 = -438*a + 435*a - 165. Let x be a/(-15) - 3/(-9). Solve -4 = -b - 2*l, -4*b + b = -x*l + 18 for b.
-2
Let b(z) = -14*z + 118. Let d be b(-16). Let c = d - 338. Solve -2*i = -5*l + 11, i - c*l + 18 = 8 for i.
2
Suppose 0*u - 255 = -7*u - 241. Solve 22*t = 17*t + 3*x + 12, u*t + 3*x = 9 for t.
3
Let i be 10/2 - (-9 - 11). Solve -i = 5*o + 5*g - 2*g, -2*o + 3*g = -11 for o.
-2
Suppose 13*p - 8*p = 45. Suppose 0*o = o + p. Let r(u) = -u**3 - 7*u**2 + 18*u. Let i be r(o). Solve i = -3*z + 5*n, -2*z + 1 = -4*n - 1 for z.
-5
Let q = -91 - -193. Let l = -96 + q. Suppose 5*s - 45 = -2*h, 3*s + 0*h = 3*h + l. Solve 0 = -3*p + 3, -4*i - 3*p = -s*i for i.
1
Let a(r) = r + 3. Suppose 60 - 55 = 5*p. Let z be a(p). Solve j + z*b = -2*j + 17, 2*j + 3*b = 12 for j.
3
Let s(f) = f**2 + 10*f + 97. Let a be s(0). Suppose -106*d = -a*d - 72. Solve 4*v + 3*c - d = 5, -5 = -2*v - 3*c for v.
4
Let r be 2*1*10 + 82 + -86. Let i be (-24)/r*4/(-2). Solve -i*d + 2*a = 6*a + 13, -10 = 3*d + a for d.
-3
Let c be ((-50)/(-6))/(965/579). Solve -3*z - 4*q - 16 = 19, -2*z = -c*q - 15 for z.
-5
Suppose 4*a + 2*m - 32 = 0, -2 = a - 3*m + 4. Let g(l) = -l - a - 4 + 3. Let b be g(-12). Solve 3*h + 2*h = y - 15, -5*y + 15 = -b*h for h.
-3
Suppose 7*u + 3363 = 1235. Let i = 309 + u. Solve 0 = -i*b + m - 6*m + 15, -2*b + m = -12 for b.
5
Suppose -s = s + 66. Let r = s - -34. Suppose -18 = -4*u - t, -4*u = 4*t - 23 + 11. Solve r = -4*l - 4*k - 3, 3 = -3*l + u*k for l.
-1
Let w(b) = 3*b - 21. Let h = 29 + -22. Let z be w(h). Suppose -3*g = 2*k - z*k, 0 = -4*g - 2*k. Solve g = -4*r + 2*q - 24, 4*q = -3*r + q for r.
-4
Let q(j) = -6*j**3 - j**2 + j + 1. Let o be q(-1). Suppose -d = 12*d - 52. Solve 5*l = o, 5*l + d = -g + 4*l for g.
-5
Suppose -4*m + 2*p + 50 = | {
"pile_set_name": "DM Mathematics"
} |
- 4*s + 31 = 0, 36*f = 38*f - 5*s + 10 for f.
5
Solve -8 = 9*h + 5*d, h + 40*d - 4 = 37*d for h.
-2
Solve -3*a - 5*b - 29 = 0, 304*b = -a + 299*b + 7 for a.
-18
Solve -4*b = -4*a - 3*b, 0 = a + 3*b + 13 for a.
-1
Solve 2*p - 11 = y, -p + 19114*y = 19112*y - 13 for p.
3
Solve -1122 = -4*w + 2*m - 1132, -2*w - 3*m - 9 = 0 for w.
-3
Solve 30*g - 25*g = -k - 1, -10*g = 0 for k.
-1
Solve 0 = c - 1, 0 = -3*n - 389*c + 392*c + 27 for n.
10
Solve -10 = -2*t + g, 5*g = 909*t - 913*t + 20 for t.
5
Solve j + 12 = -x + 6, 2*j = -x - 10 for j.
-4
Solve 0 = 4*r - 2*d - 24, 636*r - d = 633*r + 19 for r.
7
Solve -14*p + 10*p + 21 = 3*y, 3*p = -y + 12 for p.
3
Solve 0 = 3*u - 8*u, -u - u = b + 5 for b.
-5
Solve -c - 60 = -5*g, g + 5*c - 84 = -46 for g.
13
Solve 0 = m - 4, 3*m - 4 = 46*j - 50*j for j.
-2
Solve 3*t = 3*i + 54, -t = -5*i + 404 - 430 for t.
16
Solve 2*c + 40 = 5*k, -4*c + 20652 - 20612 = 5*k for c.
0
Solve 11*f = -2*d + 26, -589*f + 6 = -592*f - 2*d for f.
4
Solve 2*y = -n + 9, -3*n - 28 = 389*y - 394*y for n.
-1
Solve -d + 30 - 29 = q, -3*q + 4*d - 4 = 0 for q.
0
Solve -38 = 5*m - 2*b, 171 = -2*m - 4*b + 151 for m.
-8
Solve 202*t + 42 = -10*n + 404*t - 201*t, -3*t - 39 = 3*n for n.
-5
Solve c + 26 = -5*d, -3046*d + 8 = -3048*d - c for d.
-6
Solve -21*c - 7 = -25*c + q, -10 = -4*c + 2*q for c.
1
Solve -18*s - 12 = -16*s - 4, -3*j - 1 = 4*s for j.
5
Solve 4*r + 95 = -5*z, 5*r + 72 = -4*z - 50 + 37 for r.
-5
Solve -4916 - 4910 = -j + 4*n - 9862, 28 = -5*j + n for j.
-4
Solve -6*z + 2*z - 4*j = -11469 + 11429, -4*j = 3*z - 34 for z.
6
Solve -5*l - 2*f = 4, 240*l - 244*l = -3*f + 17 for l.
-2
Solve -3*x - 139 = -f - 140, 5*f + 25 = -5*x for f.
-4
Solve -22*q = 22, 4*m = -269*q + 264*q - 25 for m.
-5
Solve -3*a = 2*x - 21, -a + 3*x = 6*x for a.
9
Solve a - 4*m = 23, -5*m + 318 = 5*a + 328 for a.
3
Solve 0*p - 4*p - o = 8, -4*p + 2*o - 83 = -87 for p.
-1
Solve 0 = j + 3*b + 3, -15 = j - 2*b - 22 for j.
3
Solve 0 = -3*i - 6 - 9, 57 = -2*w - 6*w - 5*i for w.
-4
Solve -62*h + 63*h = 2*v + 22, 2*h - h - 4 = 0 for v.
-9
Solve -2*s + 7*i + 12 = 3*i, 9*i + 8 = -37 for s.
-4
Solve 0 = -2*b - 4073 + 4067, -4*b = -q + 10 for q.
-2
Solve 447*b - 2*g - 16 = 445*b, 4*b - 2*g = 20 for b.
2
Solve -221 + 228 = 4*h + m, -7 = -3*h + m for h.
2
Solve 16*b - 13*b = 4*k - 16, -4*k = -4 for b.
-4
Solve -453*y = -4*x - 448*y, -7*x + 3*y = -3*x + 8 for x.
-5
Solve 5*i - 4*g - 33 = 0, 37*i - 40*i - 4*g = -7 for i.
5
Solve -3*o - 5*k + 6 = -0*k, -3 = 4*o + 3*k for o.
-3
Solve 73*h - 4*l = 75*h - 8, 5*l = 2*h + 19 for h.
-2
Solve -4*b - 920*u + 916*u - 20 = 0, -3*b = -3*u - 15 for b.
0
Solve -15*d = -75, -5*z - 12*d + 7*d - 15 = 0 for z.
-8
Solve 2*v + 0*v + 12 = 4*h, 4*h + v = 6 for h.
2
Solve 10 = 5*k, -4*q - 58*k = -53*k - 10 for q.
0
Solve -3*y - 4*j + 35 = 0, 2*y + 501 = 3*j + 462 for y.
-3
Solve 173*i - 3*z = 173*i, -2 = -i - 4*z for i.
2
Solve 2*y + 3*t = 9, -3*y = -5*t - 32814 + 32810 for y.
3
Solve 2*g + 5*x = -22, 5*g + 53*x - 7 = 56*x for g.
-1
Solve 2*z - 30 = -4*q - 92, -5*z + 2*q = -1 for z.
-5
Solve 3*g = 3*l + 671 - 683, -5*l = -2*g + 4 for l.
-4
Solve -3*f - 50 = -27*t + 34*t, t - f - 10 = 0 for t.
-2
Solve 0 = x + 4*w + 27, 5*w + 39 = 17196*x - 17199*x for x.
-3
Solve 1613*x - 3*c - 2*c + 110 = 1608*x, 0 = 2*c - 40 for x.
-2
Solve 505*v - 508*v = -l, 2*l = -5*v - 11 for l.
-3
Solve -4*d + 60 = 11*r, 1436*r - 16 = -3*d + 1435*r for d.
4
Solve -4*u = 0, -4276*l + 0*u + u = -4278*l + 3*u - 8 for l.
-4
Solve 2 = 3*z + 2*p, 2*z - 332 + 319 = p for z.
4
Solve -k - 5*u + 16 = 0, 2135*u - 2132*u - 12 = -3*k for k.
1
Solve 12 = 2*r + 2*y, 16*y = 15*r + 17*y - 146 for r.
10
Solve -107 + 82 = 5*i, 2*t + 3*i = -25 for t.
-5
Solve 58*i - 2*b + 12 = 60*i, -16 = 4*i - 6*b for i.
2
Solve -5*z + 6*d - 11 = 0, -139*z + 144*z + 43 = -2*d for z.
-7
Solve 3*a = -3*m, -3*m - 160*a + 155*a = 0 for m.
0
Solve h = -2*a - 1, -a + 5*h = -0 + 28 for a.
-3
Solve -779*z = 2*x - 780*z - 5, -2*x + 2*z = -8 for x.
1
Solve -w = -2*l - 10, -l + 9919 - 9942 = -5*w for w.
4
Solve 12 = 2*f - 2*q, -154*q = 4*f - 152*q for f.
2
Solve 0 = -5*q - x - 24, -2192*q + 16 = -2193*q - 3*x for q.
-4
Solve -40*p = -45*p + 3*i + 24, -32 = 2*p + 2*i for p.
-3
Solve 5*l - 12323*a + 12327*a = 3, 3*l + 4*a + 3 = 0 for l.
3
Solve -5*i = 9*a - 14, 4*i + a - 141 = -65 - 71 for i.
1
Solve x + 14 = -2*b, 14*b - 13*b - 10 = 8*x for x.
-2
Solve -d = 3*o + 2, -2*o = 33*d - 36*d + 27 for o.
-3
Solve -3*k = 6*b - 30, b - 768*k = -763*k - 17 for b.
3
Solve i + 12 = 7, 31 = -3*g - 5*i for g.
-2
Solve 14 = -2*j + 3*u, u = 63*j - 66*j + 1 for j.
-1
Solve 7*p + 26 - 25 = -2*z, -5*p - 2 = z for p.
-1
Solve -a - 35 = -5*i, 5*i + 167*a = 163*a + 35 for i.
7
Solve -4*t - m = -7, -2*t + 862*m = 857*m - 31 for t.
3
Solve 21*v - 9*j + 25 = -10*j, 0 = 5*v - 4*j - 11 for v.
-1
Solve -3*k + 555*z = 558*z - 18, 10 = -k + 3*z for k.
2
Solve -48*p + 4*s + 14 = -46*p, -11*s = -2*p + 35 for p.
1
Solve -9 = 3*a, -42*a + 19 = -4*f - 43*a for f.
-4
Solve 2*q = -14*f - 44, -5*q + 41 = 3*f + 23 for q.
6
Solve 2*i - 325 = 11*y, i + 192*y + 113 = 188*y for i.
3
Solve 5*f = -4*a - 23, -65880*a + 65877*a - 4*f - 16 = 0 for a.
-12
Solve -1383*m + 1385*m - 14 = -4*o, 3*m - 13 = -4*o for m.
-1
Solve -16 = 3*y + 675*b - 677*b, -2*b = 3*y + 8 for y.
-4
Solve 23*g + 10 = 7*g + i, -4*i + 40 = 4*g for g.
0
Solve -3*n = 13*o + 26 - 103, -3*o = -5*n + 5 for n.
4
Solve n + 137 - 117 = 5*h, 16*n + 68 = -4*h for h.
3
Solve -6*f + 422 - 410 = 2*w, f - 3*w - 12 = 0 for f.
3
Solve 3*q = 12, -1904*d - 5*q = -1899*d for d.
-4
Solve -9*a - 11 = -4*a - 6*k, a + 5*k = 4 for a.
-1
Solve 2*x - 3*b - 74 = -53, 0 = 5*b + 25 for x.
3
Solve 0 = -5*g + 15, 5*z + 3 = 2*g + 12 for z.
3
Solve -125*a + 120*a = -n - 11, 2*a + 1 = -5*n for n.
-1
Solve 4*s + 4*r + 1 - 9 = 0, 11*r + 39 = -2*r for s.
5
Solve -5*m = 2*j + 8, -5 + 10 = -2*m + j for m.
-2
Solve 0 = 5*q + l - 20, -247*q - l - 16 = -251*q for q.
4
Solve -47*f + 3*s - 60 = -41*f, -2*s + 22 = -2*f for f.
-9
Solve -2*g + 5*u - 147 + 121 = 0, 2 = -g - 3*u for g.
-8
Solve -4*s + 185*b = 182*b - 21, 0 = -s + 5*b + 1 for s.
6
Solve 3*j + 3*x + 1241 = 1265, 0 = 3*j - 5*x + 72 for j.
-4
Solve -3*v = d + 9, 0 = -d + 3*v + 179 - 164 for d.
3
Solve -4*c - 41 = -3*v, 5*c = -72*v + 52*v + 210 for v.
11
Solve 5*y - 2*f - 45 = 0, -45*y + 41*y = 4*f - 64 for y.
11
Solve 2*k + 14 = -5*r, -k - 42*r + 41*r = 1 for k.
3
Solve -5*v + 263 = 4*b + 318, 0 = -3*v + 3 for b.
-15
Solve 5*q - 2 = -i, -13*q + 10*q + 5*i = -46 for q.
2
Solve -5*h = -3*x + 19, -h + 157*x - 156*x - 5 = 0 for h.
-2
Solve -2*h + 4 = 0, 30*h + 2 = 4*b + 27*h for b.
2
Solve 5*y - 6*y + 5*n = 4*y - 40, 3*y = -3*n for y.
4
Solve 37 = -3*g - 4*j + 5, -40 = 3*g - 4*j for g.
-12
Solve 28 = 4*w + 3*x, 17*w - 231 = -x - 159 for w.
4
Solve -1734*a = 5*b - 1730*a + 17, -5*b + 4 = -3*a for b.
-1
Solve -380 + 385 = -5*m - 5*f, 0 = -4*m - 5*f - 6 for m.
1
Solve -5*k = 5*i - 5, -i - 2*k + 1 = 2*i for i.
-1
Solve 13*x = -5*w, -5*w - 176*x = -173*x - 50 for w.
13
Solve -26*a + 5*z = -24*a + 6, 12 = -4*a + 5*z for a.
-3
Solve -3*s - 24 = -3*q, 91*s + 6 = 94*s + 3*q for s.
-3
Solve 20*z = 16*o + 23*z + 31, -4*o - 2*z - 14 = 0 for o.
-1
Solve 5*k = -5*c, 12*c - 8 = -5*k + 15*c for k.
1
Solve -21 = -2*v - 17, 0 = 2*h + v + 12 for h.
-7
Solve 37*w - 32*w + c + 1 = 0, 0 = -4*w - c for w.
-1
Solve 4*o - 5*n = 7, -4*o - 5*n + 338 = 321 for o.
3
Solve 4*a = 12*d - 54 - 22, 30*a - 1 = 34*a + 3*d for a.
-4
Solve -3*t - 23*n + 9 = -26*n, 1 = 3*t - n for t.
-1
Solve -18*p + 3*o + 78 = 0, -5*o - 22 = 66*p - 69*p for p.
4
Solve 3*t - 3 = -u, 2*u = -5*t + 6052 - 6048 for t.
2
Solve 3*y - 59 = 4*d, -70 = 14*d + 4*y + 122 for d.
-14
Solve 4*g + 16*n - 11*n = -15, -10*n - 30 = 3*g for g.
0
Solve 1853*u - 1855*u + y + 20 = 0, -2*u + 8 = 2*y for u.
8
Solve 0 = 3*j + 5*g + 23, -4*j - g = -611 + 619 for j.
-1
Solve -2*i + 5*k = 2, 13*i - 14*i = 2*k + 1 for i.
-1
Solve v - 316*j = -313*j - 12, 2*v - 3*j = -18 for v.
-6
Solve -3 = -5*f + 3 - 1, 5*i - 4*f + 74 = 0 for i.
-14
Solve 3*h + 3*s - s + 13 = 0, -84 + 104 = -4*s for h.
-1
Solve -7 = 3*t + v, -5*v + 5997 = -2*t + 5947 for t.
-5
Solve -3*l = 12*j - 13*j + 10, -5*l - 35 = 2*j for j.
-5
Solve 12 = -5*v + v, 5*v = 5*o + 25 for o.
-8
Solve 12*u = -2*o, o + 9*u - | {
"pile_set_name": "DM Mathematics"
} |
))))**2.
-3762*sqrt(7) + 68968
Simplify (-5*(-5 + -4*((0 + sqrt(252) - sqrt(252)) + 1))*-3)**2.
18225
Simplify (-5*3*sqrt(2160)*3)/((sqrt(400)/(1*sqrt(8)))/(-1*sqrt(250))).
2700*sqrt(3)
Simplify -4 + (sqrt(13) + (sqrt(91)*1)/sqrt(7))*-6 + 2 - ((-4*(2 + sqrt(13)) - (sqrt(52) + 1)) + -4).
-6*sqrt(13) + 11
Simplify 4*(0 + sqrt(1300) + 0 + sqrt(1300) + 5) + sqrt(1300) + -5*(sqrt(1300) + 1) + (sqrt(1300) + sqrt(1300)*1)**2 + -3 + -2.
40*sqrt(13) + 5210
Simplify -4*((1 + 0 + sqrt(432) + (sqrt(432) + 0)*3 + -1 + sqrt(432) + (sqrt(432) + -1)*-5)**2 + -3).
-88
Simplify ((((4 + 4*sqrt(847) - (5 + sqrt(847)*4)) + -1)*6)**2 + -4)*2.
280
Simplify -1*sqrt(500) + (sqrt(20) + sqrt(20) + -1*sqrt(20) + -3)**2 + (sqrt(80)*-2 - sqrt(80)) + -4 + -4.
-34*sqrt(5) + 21
Simplify -3 + 2 + -5 + (sqrt(208) + (sqrt(208) - (sqrt(208) - (sqrt(208) + -1))) + -2 + sqrt(208) + -5 + sqrt(208)*1 + 2 + -2*sqrt(208)*5)**2.
288*sqrt(13) + 7518
Simplify (-3 + -3 + -3*-1*sqrt(1872) + -4*(sqrt(1872) - 1*sqrt(1872)) + ((-2*sqrt(1872) + sqrt(1872) - sqrt(1872) - sqrt(1872)) + 2)*-2)**2.
-2160*sqrt(13) + 151732
Simplify -3 + -1 + 4 + ((5*sqrt(119))/sqrt(7) + 5 + sqrt(1700))**2*-1.
-3850 - 150*sqrt(17)
Simplify (((sqrt(136) - (sqrt(136) - -6*sqrt(136)*-2))*-1)/(6*(sqrt(968) + (sqrt(968)*-2 + sqrt(968) - sqrt(968) - sqrt(968) - sqrt(968)) - sqrt(968))) + 2)*3.
3*sqrt(17)/22 + 6
Simplify -2*5*2*(sqrt(320) + 1) - 5*((1 + sqrt(320)*2 - sqrt(320)) + sqrt(320) + 6*(-1 + sqrt(320))**2).
-9655 + 240*sqrt(5)
Simplify (-1*sqrt(48)/(sqrt(8) - (sqrt(8) + sqrt(88)/sqrt(11))))/((sqrt(243) + sqrt(243)*4 + sqrt(243))*5).
sqrt(2)/270
Simplify (4*1*sqrt(144)*6)/(2*-1*(sqrt(288) + (-3*sqrt(288) - sqrt(288)) - sqrt(288))).
3*sqrt(2)/2
Simplify ((-2*(-2*sqrt(7200) - sqrt(7200))*4)/(sqrt(40)*-1 - 4*sqrt(40)/sqrt(4)))**2.
11520
Simplify (sqrt(108)/(sqrt(3) + sqrt(6)/sqrt(2) + sqrt(3)))/(3*sqrt(192)) + 4 + 0 + (-1*sqrt(24)/(sqrt(8)*-1) + 2)**2.
145*sqrt(3)/36 + 11
Simplify (-5*5*((-4*2*sqrt(125) - sqrt(125)) + sqrt(125)*-1 + -4 - (-2 + sqrt(50)/sqrt(90))*6))**2.
-520000*sqrt(5) + 8490000
Simplify (((sqrt(490) - (sqrt(490)*-1 - sqrt(490)))*-4 - -1*(sqrt(490) + sqrt(490) + 1*sqrt(490)))/(3*4*(sqrt(5) + 1*sqrt(125))))**2.
49/32
Simplify ((1*(1 + sqrt(847)) - sqrt(847) - sqrt(847) - (2 + sqrt(847))*6) + (-6*2*sqrt(847) - sqrt(847)) + 4)**2 + 5.
3080*sqrt(7) + 338854
Simplify (((sqrt(11) - (sqrt(11) - 2*sqrt(539))) + -1)*-4 - (sqrt(704) + -4*(-2 + sqrt(704)) + -5)**2)*-2.
-176*sqrt(11) + 12682
Simplify (sqrt(432) + 4*sqrt(432) + -2*sqrt(12)*6)/(((sqrt(144) + 4*(1*sqrt(144) + sqrt(144)) + sqrt(144) - sqrt(144)) + sqrt(144))*3).
sqrt(3)/10
Simplify 2 + ((sqrt(13) - (-5 + 1 + sqrt(13)))*5*-5 - (sqrt(52)/sqrt(2)*1)/((-1*sqrt(10))/sqrt(5)))*6.
-598 + 6*sqrt(13)
Simplify ((sqrt(80) + sqrt(80) + 3*sqrt(80)*1 - sqrt(80))/(sqrt(432)/sqrt(6)))/(sqrt(350)/(sqrt(896)/sqrt(8))).
16*sqrt(5)/15
Simplify -5 + 3 + sqrt(176) + -3 - (sqrt(11) + (2 + sqrt(11) + sqrt(11))*5 + sqrt(66)/(sqrt(24) + sqrt(6)) + -4).
-22*sqrt(11)/3 - 11
Simplify -2*(sqrt(1728)*4 + sqrt(1728))*-4 + -6*(5 + (sqrt(1728) + sqrt(1728) + -3 - sqrt(1728)))**2.
-10392 + 384*sqrt(3)
Simplify (0 + sqrt(39)/(-1*sqrt(27)))**2 - ((sqrt(130)/(sqrt(30)/sqrt(3)) - sqrt(13) - sqrt(13)) + (sqrt(65) - (sqrt(65) - -2*sqrt(65)))/sqrt(5))**2*2.
-2093/9
Simplify (-1 + (5*(-2*(sqrt(68) - (sqrt(68) - (1 + sqrt(68) + sqrt(68)))) - (5 + 1*sqrt(68))))**2 + -1)*-6.
-262338 - 21000*sqrt(17)
Simplify -5 + (sqrt(425) - (-3 + sqrt(425))) + 1 + ((sqrt(1088) - 1*(sqrt(1088) + 0)) + sqrt(1088)*1 + 3)**2.
48*sqrt(17) + 1096
Simplify ((sqrt(49) + sqrt(49) + sqrt(49) + sqrt(490)/sqrt(10))/sqrt(7) + sqrt(28)/(sqrt(4)*5) - (sqrt(28) - sqrt(1792)*1)/(-2*sqrt(64) + sqrt(64)))**2.
16807/400
Simplify (1*sqrt(171)*5)/(((sqrt(1089) - (sqrt(1089) - (sqrt(1089) - sqrt(1089)*-1))) + sqrt(9) - sqrt(9)) + sqrt(9)) + -1*-5*(sqrt(304) + 0).
465*sqrt(19)/23
Simplify (4*(sqrt(1300) - (sqrt(1300) + sqrt(1300)*2 + -4))*2)**2 - ((3 + (sqrt(1300) - (sqrt(1300) + -2 + sqrt(1300) - sqrt(1300))*2))*3)**2.
-8980*sqrt(13) + 321683
Simplify (-4*(-5*(sqrt(136) - sqrt(136)*1) - sqrt(136) - sqrt(136)))/(6*(sqrt(392) + (sqrt(392) - (-1*sqrt(392) + sqrt(392))))) + 3.
2*sqrt(17)/21 + 3
Simplify -6*(sqrt(99) + -5 + sqrt(99) + 5 - sqrt(99))**2 - (sqrt(132) - (sqrt(132)*-1*-6 + sqrt(132)))/(-1*sqrt(12)*1).
-594 - 6*sqrt(11)
Simplify ((4*4*2*sqrt(1296))/(sqrt(12) + (sqrt(12) - -1*sqrt(300)) + -2*sqrt(300)))**2.
12288
Simplify (sqrt(140)/(sqrt(28)/sqrt(4)) - 1*-3*sqrt(20))/((sqrt(72)*-2)/((sqrt(24) - sqrt(216) - sqrt(24))/sqrt(12))).
2*sqrt(5)
Simplify -5 + 2 + 5*((-5 + sqrt(76) + 0 - (sqrt(76)*-1*1 + sqrt(76))) + 5 + sqrt(76) + 1 + 2)**2.
120*sqrt(19) + 1562
Simplify (-5*((6*(sqrt(16) + sqrt(16) + sqrt(144)))/(2*sqrt(72) - sqrt(8)) + 2))**2.
600*sqrt(2) + 1900
Simplify (1*(-1*(4 + 2*sqrt(567)))**2 - (-6*(-4*-1*sqrt(567) - (sqrt(567) - (sqrt(567) - (sqrt(567) + 1 + -3)))))**2) + -5.
-181573 - 3744*sqrt(7)
Simplify (1*1*sqrt(64)*5)/((sqrt(2) - sqrt(6)/sqrt(3))*3 - sqrt(72)/sqrt(9)).
-10*sqrt(2)
Simplify ((sqrt(51) + (sqrt(51) + -6*sqrt(153)/sqrt(3) - sqrt(51)) + sqrt(51))/(sqrt(48)*-2 + sqrt(48) - sqrt(48)) + -1 + sqrt(1700) + -2 + 3 + sqrt(1700))**2.
28577/4
Simplify (((sqrt(275) - sqrt(275)*1) + sqrt(11))*-2 + 0 + 5 + 0 + sqrt(275) + -3)**2*-5.
-515 - 60*sqrt(11)
Simplify (-2*sqrt(27)/(-2*sqrt(9)) + -4*(1 + sqrt(192)) - (2 + (-4 + sqrt(54)/sqrt(2) - -1*sqrt(108))))**2.
160*sqrt(3) + 4804
Simplify -5 + (sqrt(171) + sqrt(171) + -2 + 0)**2*-4 + 1 + sqrt(19)*-4 + sqrt(931)*2.
-2756 + 106*sqrt(19)
Simplify (3*(sqrt(70)*3 + sqrt(70)))/((sqrt(90)*2)/sqrt(9)) + (4*2*sqrt(56))/(sqrt(128)*-1 + sqrt(128) - sqrt(128)) + -2.
-2 + 4*sqrt(7)
Simplify (sqrt(176)*-1 + -2*(sqrt(11) + -3))**2 + ((2*sqrt(88) + sqrt(88))*-1)/(1*sqrt(8)*3).
-73*sqrt(11) + 432
Simplify 4 + ((1*sqrt(160) + sqrt(160)/(sqrt(4)*3))/(-3*sqrt(32) + sqrt(16)/(sqrt(12)/sqrt(6)))*-3)**2.
69/5
Simplify ((-4*(5*sqrt(66)*2 - (sqrt(66) - (sqrt(66) + -6*sqrt(66)*1))))/(((-2*sqrt(126))/sqrt(7))/(sqrt(132)/sqrt(11))))**2.
2816
Simplify 5*(-5 + (sqrt(847)*1)**2 + -4) + ((sqrt(847) + 3)*-4 - (sqrt(847) + (sqrt(847) + 1 - sqrt(847)) + -5)**2).
44*sqrt(7) + 3315
Simplify (2*sqrt(72)*6)**2 + sqrt(72) + (sqrt(72) - (4 + (1*sqrt(72) - sqrt(72)))) + 1*(sqrt(112)/sqrt(7))/sqrt(2).
14*sqrt(2) + 10364
Simplify ((sqrt(1134) + (sqrt(1134) + sqrt(1134) + sqrt(1134)*1 - sqrt(1134) - sqrt(1134)))*-4 - (sqrt(1134)*1 + sqrt(1134))*-3)/(sqrt(162)*-6 + sqrt(162)*4).
sqrt(7)
Simplify ((sqrt(12) - -2*sqrt(12))/sqrt(4) + 2 + -3 + sqrt(3) + -2*(-3 + sqrt(147) + 0 + sqrt(147)))**2.
-240*sqrt(3) + 1753
Simplify 4 + ((-4*(sqrt(864) + 4*sqrt(864) - sqrt(864)))/(((-2*sqrt(240))/sqrt(6) + sqrt(40))/sqrt(5)) + 5)**2.
960*sqrt(3) + 27677
Simplify (sqrt(6)/(sqrt(2)*-2) + -2 + sqrt(243) + (sqrt(3024)*1)/(sqrt(7) - (sqrt(7) + 1*sqrt(1008) - sqrt(7))))*6.
-12 + 489*sqrt(3)/11
Simplify -4*(sqrt(7)*2 + -5) + sqrt(448) + -3 - (5*sqrt(84)/sqrt(48) - ((sqrt(700) + -1)**2 + sqrt(700) - sqrt(63)*-2)).
-13*sqrt(7)/2 + 718
Simplify 2 + ((1 + sqrt(5) + 2 + sqrt(5))*-5 + 4 - (-1 + 4*sqrt(5) + sqrt(5) + sqrt(605) + -2)**2).
-1298 + 86*sqrt(5)
Simplify ((-2 + sqrt(7)*-2 - 1*sqrt(112)) + -5*(sqrt(567)*-1 + -1)**2)*-4.
384*sqrt(7) + 11368
Simplify (4*(sqrt(152) - sqrt(152)*-5) + sqrt(152) - -6*sqrt(152)*-5)/(5*sqrt(648)*-1*3).
sqrt(19)/27
Simplify ((2 + sqrt(72) + -5 - sqrt(72)) + 5 + -3*sqrt(72)/(-1*sqrt(4)*-3))**2.
-12*sqrt(2) + 22
Simplify -4 + (-6*sqrt(204)*1)/(-1*(-1*sqrt(12) - sqrt(12))) + -1*(4 + sqrt(68)/(sqrt(4) - 1*sqrt(100))).
-11*sqrt(17)/4 - 8
Simplify ((sqrt(57) - sqrt(684)/sqrt(192))*-5*6)/(2*5*6*(sqrt(6)/sqrt(2) + sqrt(3))).
-3*sqrt(19)/16
Simplify (-1*sqrt(55)*-4)/(sqrt(55)/(sqrt(5)*-1)) - -1*((-2*sqrt(20))/sqrt(4))**2*4.
-4*sqrt(5) + 80
Simplify ((-4 + sqrt(128)*2)*4 - (sqrt(128)*1 + 5 + -4))**2 + -1.
-1904*sqrt(2) + 6560
Simplify ((sqrt(3) - (sqrt(3) + -4)) + -5)**2 - sqrt(21)/(sqrt(7) - 4*sqrt(7)) - (4 + ((sqrt(24)/(sqrt(8)*-1) + sqrt(3))**2 - (1*sqrt(3)*5)**2)).
sqrt(3)/3 + 72
Simplify -3*-2*(sqrt(45)/(1*sqrt(9)*-3 + sqrt(9)) - ((sqrt(5) - sqrt(405)*3 - sqrt(5)) + -2)).
12 + 159*sqrt(5)
Simplify 2 + sqrt(7) + -2 + -2 + 3 + (sqrt(7) + sqrt(2688)/sqrt(6) - sqrt(35)/((-4*sqrt(5) - sqrt(5)) + sqrt(5))).
1 + 41*sqrt(7 | {
"pile_set_name": "DM Mathematics"
} |
is the fourth biggest value? (a) 0.12 (b) 1 (c) -0.16 (d) -15/389
c
Which is the fifth smallest value? (a) -2 (b) -0.1 (c) -5/3 (d) 16855 (e) 76/9 (f) 2/7
e
Which is the biggest value? (a) 0.02 (b) 915000 (c) -0.1
b
What is the smallest value in -5, 3/8, -2/3, -7731, 243, -2/95?
-7731
What is the third biggest value in 1, 3, -0.411664?
-0.411664
What is the biggest value in 3, -1428, 4, 0.5, 2422?
2422
Which is the second smallest value? (a) -51 (b) -3/8 (c) -0.267 (d) 2/9 (e) -1.5 (f) 3
e
Which is the second smallest value? (a) 3 (b) 1195 (c) -0.7 (d) 0.06 (e) -2 (f) 0
c
What is the biggest value in 89, -5/6833, 12?
89
What is the second smallest value in -0.2, -275616, 5?
-0.2
What is the third biggest value in 4, 12, 7/135, -12, -1?
7/135
Which is the biggest value? (a) 0.04 (b) -0.037 (c) 0 (d) -1 (e) 219
e
Which is the fifth biggest value? (a) -2/9 (b) -34 (c) -0.11 (d) 7/17 (e) -5 (f) 1.5
e
What is the third smallest value in -2/5, -427/6, -3, -10, -4, 0?
-4
Which is the fourth smallest value? (a) -12.108 (b) -0.0643 (c) 2/7 (d) 1
d
What is the smallest value in -1/6, 0.5, 2/7, 9/311, 4?
-1/6
What is the second biggest value in 0.09, -17/3, 5, -2/19, -1/84, 4, 0.6?
4
Which is the biggest value? (a) -200 (b) 37918 (c) -13
b
What is the second biggest value in -3, 0.2, 3/5, -6.3, -658, 4?
3/5
Which is the biggest value? (a) 0.28 (b) -0.06 (c) -0.5 (d) -3 (e) 864 (f) 7
e
Which is the second smallest value? (a) -2/3 (b) -2 (c) -2.44 (d) 1/10 (e) -2/9 (f) 3/17 (g) -221
c
What is the third biggest value in -58, -0.163, -1019?
-1019
What is the fourth biggest value in 0.2, 3, -363, 1, -0.21, 4/5, 5?
4/5
Which is the third smallest value? (a) -61.117 (b) -2/3 (c) -12
b
Which is the third biggest value? (a) -10 (b) 2 (c) -78436 (d) 2/19
a
Which is the third biggest value? (a) -0.5 (b) 104301 (c) -0.391
a
Which is the second biggest value? (a) -2/25 (b) 252.2 (c) -5 (d) 3/2
d
Which is the fifth biggest value? (a) -0.06 (b) -3.4 (c) -989 (d) 0.12 (e) -8
c
Which is the fifth smallest value? (a) 269 (b) 0 (c) -0.372 (d) -1 (e) -7
a
What is the fourth smallest value in 3/2, -2/11, 5, -6, 39867, -8, -3?
-2/11
What is the fourth biggest value in 0.1, -0.01485611, -0.5, 0.5, 0?
-0.01485611
Which is the biggest value? (a) 1046 (b) -18 (c) -2/59
a
What is the second biggest value in -84.6, 0.2, -1345, 2/7, -5?
0.2
What is the second smallest value in -2/17, -29, 0.22, 4, -2/9, -2, -30?
-29
What is the seventh biggest value in -2, 2, -98, -1.6, -4, -1/9, -2/5?
-98
Which is the fifth smallest value? (a) 3 (b) 55 (c) -6290/3 (d) 0 (e) -1/47 (f) 0.3
a
Which is the second smallest value? (a) 3/7 (b) -1 (c) 34.1 (d) -224
b
What is the third biggest value in -0.4, -1/5364, 2/3, -23, 1/14?
-1/5364
What is the fifth biggest value in -7, -0.1, -1, 9, -2.49, 0.2, -2/7?
-1
Which is the biggest value? (a) -0.7 (b) 86 (c) 6 (d) 4/3 (e) -7 (f) 1
b
What is the biggest value in 4, 0.2, -13/4313, 5, -0.007?
5
What is the fourth biggest value in 24, 0.021, 3, -51, -2/93?
-2/93
What is the third biggest value in -3, 1.9, 14, -1, -17, 2?
1.9
What is the third biggest value in -1, 172, -23, 15?
-1
Which is the second smallest value? (a) -0.2 (b) 3 (c) 3/8 (d) -642 (e) 1/27 (f) 0.4
a
Which is the fourth biggest value? (a) 0.4 (b) -12644 (c) -4/5 (d) -0.2 (e) 4
c
Which is the fifth biggest value? (a) 5 (b) -1/6 (c) 0 (d) -4 (e) -3.1 (f) -2/53
e
Which is the third biggest value? (a) 66/7 (b) -0.4 (c) 1373
b
Which is the smallest value? (a) -1/15 (b) -0.18 (c) -0.293 (d) 8/9
c
Which is the third biggest value? (a) 17 (b) 9 (c) 4/3 (d) -1/90 (e) -2.6 (f) 2 (g) -0.05
f
What is the sixth smallest value in 3, -126/11, -2/3, -2/5, 12, 4/3, -52/3?
3
What is the smallest value in 2/7, 3/8, -2, 37, -3, 1/41?
-3
Which is the second smallest value? (a) -19/51 (b) 2/7 (c) 4 (d) -33 (e) 7
a
What is the second biggest value in -0.04, 5, 231375?
5
What is the third biggest value in 2, 0.4, 1034, 1.7, 157, -0.06?
2
Which is the fifth smallest value? (a) 3/2 (b) -0.1 (c) 0.768 (d) -2/11 (e) -1.4 (f) -6/7
c
Which is the smallest value? (a) 1156 (b) 0.0636 (c) -2
c
Which is the fourth biggest value? (a) -2/5 (b) -0.9 (c) -2/919 (d) 4/3 (e) 0.04 (f) -2 (g) 1/2
c
Which is the biggest value? (a) 26.3 (b) -3 (c) 0.66 (d) -448 (e) 0.2
a
Which is the third biggest value? (a) -23/3 (b) -2.03 (c) 499
a
Which is the biggest value? (a) -0.052 (b) -1/17 (c) -62 (d) -0.9 (e) -5
a
What is the fifth biggest value in 52, -4, -1/2, 16285, 0.4?
-4
What is the fourth smallest value in -2/19, -2/7, 0, -1, 144.87, 3?
0
Which is the third biggest value? (a) 0.147 (b) 0.5 (c) 0.1484 (d) 5
c
Which is the biggest value? (a) 12/23 (b) -245/6 (c) -5 (d) -2/5 (e) 1 (f) 1/5 (g) 11
g
Which is the third smallest value? (a) -620687 (b) 4/39 (c) -0.2
b
What is the second smallest value in -3, -756/11, 232, -4, 0.5?
-4
What is the sixth smallest value in -1.9, 5, 0.5, -1/7, 2/9, -0.1, 17?
5
Which is the sixth biggest value? (a) -91/3 (b) 0.22 (c) 2/5 (d) 0.32 (e) 0.04 (f) 0.8 (g) 1/4
e
What is the fifth smallest value in -11/2100, -3, 1, -1/5, -0.4, 2?
1
Which is the third biggest value? (a) -2/5 (b) 0.5 (c) 3/5 (d) -5 (e) -5437 (f) 3
b
Which is the fourth smallest value? (a) -157.1 (b) 2/19 (c) 0.2 (d) -1 (e) -5 (f) 0
f
What is the second smallest value in 0.1, -14.496, -2/209?
-2/209
Which is the third smallest value? (a) 0 (b) 0.04 (c) -2554 (d) -131
a
Which is the fifth biggest value? (a) 7 (b) 0.5 (c) 0 (d) -236758/5 (e) -2/3
d
Which is the fifth smallest value? (a) 0.05 (b) -0.9 (c) 5 (d) 21 (e) -0.1 (f) -0.4 (g) -1/4
a
Which is the smallest value? (a) -1/16 (b) -19 (c) 19 (d) -4/5 (e) 1/2 (f) 4
b
What is the second biggest value in -10/3, -1/5, -11.5, -0.07, 76?
-0.07
Which is the second biggest value? (a) 35330 (b) 5 (c) -3 (d) 2/23
b
What is the fifth smallest value in 2/39, -90, -0.1, 0.2, 1.01, -9?
0.2
What is the biggest value in -4, -0.659, -0.5, 130.87, 1?
130.87
What is the second smallest value in -2, 2, -12407?
-2
What is the fourth smallest value in 7218, -56, 202, 0.1, 0.4?
202
What is the third biggest value in -3, -4, 2387, 0.1, 0.4, -10, 3?
0.4
Which is the third smallest value? (a) 88981 (b) -2/33 (c) 2 (d) -2/11
c
Which is the smallest value? (a) -1/22 (b) -649 (c) -0.37
b
What is the biggest value in -0.112, 1, 2/29, 0.08, -0.5, -3/4, -335?
1
Which is the seventh biggest value? (a) 3/4 (b) 667 (c) -0.2 (d) 18 (e) 23 (f) -3/5 (g) -2
g
What is the second biggest value in 2.58, -51, -1/2, -57, -3/8?
-3/8
What is the third biggest value in 4/436069, 0.12, 2?
4/436069
Which is the fourth biggest value? (a) 3.829 (b) 1/2 (c) 0.3 (d) 1/5 (e) 78/11
c
What is the smallest value in -116, 1/5, 34361?
-116
Which is the biggest value? (a) -2 (b) 2 (c) -0.2 (d) -3/2 (e) -1/2 (f) -9830/21
b
What is the biggest value in -6, -6.5, 1.67, -6/121?
1.67
What is the fifth biggest value in -18, -2/11, 51, -8, 11/3?
-18
Which is the sixth smallest value? (a) -7/3 (b) -5 (c) 245/18 (d) -8 (e) 2/15 (f) 2/7
c
Which is the third biggest value? (a) -0.4 (b) -2/47 (c) 0.3 (d) 1/3 (e) 8 (f) 7.9 (g) 2/7
d
Which is the second smallest value? (a) 1/204 (b) 3/5 (c) 613 (d) -4 (e) 4
a
What is the second biggest value in 1/175, 11, 4, 3/103, 13?
11
What is the fourth smallest value in -2/3015, 0, 50, -1?
50
Which is the smallest value? (a) -444 (b) -0.4 (c) -2 (d) 0.0184 (e) 0.2
a
Which is the third biggest value? (a) -2/16437683 (b) 3 (c) -0.1
c
Which is the third biggest value? (a) 2392883 (b) 0.1 (c) 2/49 (d) -0.4
c
Which is the biggest value? (a) -1491 (b) -3 (c) -3/5 (d) 0.03 (e) -0.07 (f) -6
d
What is the third smallest value in -2/215, -3/7, 5, -4/1909?
-4/1909
What is the biggest value in -0.3, 2, -9, 3, -42?
3
What is the sixth smallest value in -0.4, -15, 8, 0.19, 0.2, 249/2?
249/2
Which is the second smallest value? (a) 15 (b) -0.1 (c) 1/4 (d) 0 (e) 0.2 (f) -21/199
b
Which is the biggest value? (a) -2/9481 (b) -0.1 (c) -111 (d) 1/10 (e) | {
"pile_set_name": "DM Mathematics"
} |
ve of -3*g**4/4 - 74*g**2. Give k(v(c)).
-18*c**2
Let t(c) = -8*c + 7. Let z(r) = -7*r + 6. Let f(w) = -6*t(w) + 7*z(w). Let k(y) = -3*y**2 - 5*y**2 + y**2. Determine f(k(p)).
7*p**2
Let j(h) = -11*h - 3. Let z(d) = 35*d + 10. Let b(q) = 10*j(q) + 3*z(q). Let v(o) = -31*o. Determine b(v(y)).
155*y
Let d(f) = -f. Let i(o) be the third derivative of -505*o**4/24 + 61*o**2 - o. Give d(i(v)).
505*v
Let y(c) = -4*c**2 + 122*c. Let a(v) = 453*v**2. Determine y(a(b)).
-820836*b**4 + 55266*b**2
Let b(c) = -90*c. Let q(s) = -55067*s**2. Calculate b(q(w)).
4956030*w**2
Let u(a) = -2*a**2 + 6. Let x(l) = l**2 - 5. Let o(y) = 5*u(y) + 6*x(y). Let g(f) = 8*f + 8*f - 6*f - f. Determine o(g(i)).
-324*i**2
Let m(c) be the second derivative of -c**3/6 - 11*c. Let w(b) = -2*b**2 - 3. Let v(r) = r**2 + 1. Let l(g) = 3*v(g) + w(g). What is m(l(k))?
-k**2
Let h(w) = -65*w. Let s(b) = -2396*b**2 - 2393*b**2 + 4788*b**2. Give s(h(c)).
-4225*c**2
Let w(c) = 15*c**2 + 411*c. Let x(p) = -15*p. What is x(w(g))?
-225*g**2 - 6165*g
Let u(v) = -1952*v + 4. Let b(a) = -2*a**2. What is u(b(r))?
3904*r**2 + 4
Let r(u) = -7*u**2. Let c(j) be the first derivative of 39 + 0*j + 5/2*j**2. Calculate c(r(g)).
-35*g**2
Let k(z) = z. Let b(a) be the first derivative of -13*a**5/40 - 19*a**3/3 + 10. Let j(i) be the third derivative of b(i). Calculate j(k(w)).
-39*w
Let q(p) be the first derivative of p**2/2 + 562. Let i(d) = 6*d - 27. Determine i(q(u)).
6*u - 27
Let a(q) be the second derivative of -q**4/8 + 2*q**2 + 20*q. Let z(c) be the first derivative of a(c). Let b(l) = 1 - 1 + 5*l. Determine z(b(p)).
-15*p
Let y(o) = -306*o**2. Let q(c) = 3609*c. Calculate y(q(s)).
-3985613586*s**2
Let p(o) = -2*o**2. Let b = 21 + -10. Let m(d) = d + b - 7 - 4. What is p(m(h))?
-2*h**2
Let k(x) be the second derivative of -x**5/60 - 55*x**2/2 - 9*x. Let j(g) be the first derivative of k(g). Let o(q) = 33*q**2. Determine j(o(n)).
-1089*n**4
Let p(h) = -2*h**2. Let l(z) = -71*z**2 - 4*z. Let s(g) = -7738*g**2 - 438*g. Let d(o) = -219*l(o) + 2*s(o). What is d(p(w))?
292*w**4
Let c(t) be the second derivative of -11*t**3/6 + 10*t - 4. Let f(o) = 2*o + 12. Calculate c(f(p)).
-22*p - 132
Let t(i) = -2*i**2. Suppose 4*l = 2*l + 48. Let h = -22 + l. Let s(g) = -4*g + 0*g + g - h*g. Calculate t(s(p)).
-50*p**2
Let a(s) = -14*s. Let w(v) be the third derivative of -v**4/24 + v**3/3 - 4*v**2. Let h(y) = y - 1. Let i(k) = -2*h(k) - w(k). Calculate a(i(l)).
14*l
Let c(d) = 7*d**2 - 7*d. Let m(a) = -506*a. Calculate c(m(b)).
1792252*b**2 + 3542*b
Let v(f) = -f**2 - 1236 + 1236. Let z(d) = 29*d**2. Let p(j) = -72*j**2. Let w(y) = 5*p(y) + 12*z(y). Determine v(w(n)).
-144*n**4
Let y(d) = -2*d. Let x(p) = -3*p**2 + 4*p - 10. Let w(g) be the second derivative of g**4/3 - g**3 + 7*g**2 + g. Let q(i) = 5*w(i) + 7*x(i). What is q(y(v))?
-4*v**2 + 4*v
Let a(k) = -13*k - 1. Let f(y) = 2*y - 4. Let z(w) = 10*w - 18. Let u(x) = -9*f(x) + 2*z(x). Calculate a(u(n)).
-26*n - 1
Let m(l) = -63*l - 57*l + l**2 - 61*l + 181*l. Let c(j) = 3 + 14*j - 3. Give m(c(o)).
196*o**2
Let q(t) = -149*t - 22. Let i(v) = -52*v - 8. Let n(y) = -17*i(y) + 6*q(y). Let k(d) = 8*d**2. Calculate n(k(z)).
-80*z**2 + 4
Let h(m) = 2*m**2. Let z(y) be the first derivative of -162*y**2 + 98. Determine h(z(g)).
209952*g**2
Suppose 0 = p - 3*p + 10. Let w(j) = 13*j - p*j - 10*j. Let n(d) = 17*d**2 + 2*d - 2*d - 16*d**2. Give n(w(c)).
4*c**2
Let v(g) = -9*g. Let b(a) be the first derivative of 3/2*a**2 + 0*a - 16. Give b(v(m)).
-27*m
Let a(h) = -5*h**2 + 3*h + 1831. Let z(y) = -2*y**2. Give a(z(p)).
-20*p**4 - 6*p**2 + 1831
Let c(n) be the first derivative of -n**2/2 + 8*n - 337. Let m(p) = -2*p**2. Determine m(c(i)).
-2*i**2 + 32*i - 128
Let g(q) = q. Let p(o) = 236*o**2 - 79*o**2 + 75*o**2. What is g(p(v))?
232*v**2
Let q(c) = 7*c - 3. Let m(g) = 48*g - 20. Let n(t) = -3*m(t) + 20*q(t). Let k(p) = -519*p + 519*p + 2*p**2 + p**2 - 4*p**2. Give n(k(x)).
4*x**2
Let y(q) = -14*q + 3. Let p(t) = 28*t - 5. Let l(a) = 3*p(a) + 5*y(a). Let s(v) = -v**2. What is s(l(i))?
-196*i**2
Let x(n) = n**2 + 3*n + 4. Let p be x(-2). Let v(t) = -73 + 73 - 2*t**p. Let b(i) be the second derivative of -4*i**3/3 + 2*i. Calculate v(b(d)).
-128*d**2
Let l be (1 - 111/15)/((-10)/25). Let p(z) = -14*z + 16 + 13*z - l. Let o(r) be the third derivative of -3*r**4/8 - r**2. What is o(p(x))?
9*x
Let q(k) = k - 8*k**2 - k. Suppose 5*v = 7*v - 4. Let d(s) = -5*s**v - 6*s**2 + 12*s**2 - 3*s**2. Calculate d(q(g)).
-128*g**4
Suppose 17*w - 21*w = -216. Let z(v) = -57*v**2 + w*v**2 + 40*v**2. Let i(j) = j**2. Calculate i(z(g)).
1369*g**4
Let n(t) be the second derivative of t**4/6 + t - 10. Let z(u) = -11*u + 5. Determine n(z(d)).
242*d**2 - 220*d + 50
Let i(s) = -1542*s + 8. Let z(u) = 2*u. Give i(z(d)).
-3084*d + 8
Let i(t) = -t. Let a(k) = 20*k + 66*k**2 + 72*k**2 - 20*k. Give a(i(h)).
138*h**2
Let m(p) = 102*p. Let q(v) = -7*v**2 + 3*v. Let l(t) = 12*t**2 - 5*t. Let z(r) = 3*l(r) + 5*q(r). Calculate z(m(j)).
10404*j**2
Let l(b) = 69*b + 4. Let u(w) = 14 - 8*w + 77*w - 4 - 7. Let k(g) = -3*l(g) + 4*u(g). Let o(x) = 2*x**2. Determine o(k(s)).
9522*s**2
Let k(t) = 120*t + 9. Let c(s) = -3*s**2 - 42. Calculate k(c(d)).
-360*d**2 - 5031
Let u(b) = 2*b**2. Let p(m) = 3763709*m. What is u(p(w))?
28331010873362*w**2
Let s(m) = 34*m**2 - 16*m**2 - 16*m**2. Let x(i) = 56*i**2 - i. Determine x(s(t)).
224*t**4 - 2*t**2
Let p(f) be the second derivative of -3*f + 0 + 0*f**3 + 0*f**2 + 7/12*f**4. Let h(s) = 0*s + 2*s - 3*s. Calculate p(h(i)).
7*i**2
Let b(u) = -7*u**2 - 6*u - 6. Let n(p) = 15*p**2 + 13*p + 13. Suppose 39 = 5*h + 9. Let g(v) = h*n(v) + 13*b(v). Let t(w) = -7*w. What is g(t(x))?
-49*x**2
Let a(i) = -10*i**2. Let k(r) be the second derivative of -r**7/1260 - 11*r**4/12 + 27*r. Let y(q) be the third derivative of k(q). What is y(a(h))?
-200*h**4
Let n(k) = -64*k + 12. Let g(l) = 26*l - 5. Suppose 2*x + 68 = 5*f, x = 2*x + 4. Let y(p) = f*g(p) + 5*n(p). Let q(m) = 2*m**2. Calculate y(q(d)).
-16*d**2
Let u(q) = 2*q. Let s(x) = -6 + 8*x - 14 + 20. Calculate u(s(r)).
16*r
Let y(v) be the first derivative of -6*v**2 - 104. Let b(o) = 4*o**2. What is y(b(w))?
-48*w**2
Let f(s) = -1 + s**2 + 1. Let x(k) be the second derivative of k**4/24 + 3*k**2/2 - 22*k. Let j(a) be the first derivative of x(a). Calculate j(f(w)).
w**2
Let s(a) be the first derivative of -a**3/3 - 59. Let t(z) = -5*z. What is s(t(r))?
-25*r**2
Let c(j) = j + 57. Let t(z) = 202*z**2. Calculate t(c(n)).
202*n**2 + 23028*n + 656298
Let b(f) = -36*f. Let n(r) be the third derivative of r**4/6 + 100*r**2. What is b(n(g))?
-144*g
Let r = -16 - -18. Let y(a) = -a**2 - 2*a**2 + r*a**2 - 4*a**2. Let d(l) be the third derivative of -l**4/24 + 5*l**2. Give d(y(n)).
5*n**2
Let t(y) be the first derivative of -7*y**3 - 343. Let g(z) = 8*z**2. What is g(t(k))?
3528*k**4
Let z(x) = 141*x**2. Let q(m) be the third derivative of -m**5/20 + 4*m**2 + 40*m. Determine q(z(d)).
-59643*d**4
Let u(a) = 6*a**2 - 4*a - 4. Let b(p) = -11*p**2 + 5 + 5*p + 0 + 4*p**2. Let r(n) = -4*b(n) - 5*u(n). Let g(x) = x - x - 4*x. Calculate g(r(o)).
8*o**2
Let x(k) = 11*k**2 - 17*k. Let b(a) = -12*a. What is x(b(h))?
1584*h**2 + 204*h
Let h(d) be the first derivative of -d**2 + 779. Let k(o) be the third derivative of -2*o**4/3 + o**2. Calculate k(h(j)).
32*j
Let m(g) = 9*g**2 + 1. Let q(r) be the second derivative of -r**4/6 + 4*r + 16. Give m(q(b)).
36*b**4 + 1
Let b(n) = -n**2 - n. Let m(y) = 8*y**2 - 2*y**2 + 5*y + 0*y**2. Let z(s) = -10*b(s) - 2*m(s). Let u(p) = -1 + 1 + 2*p**2. Calculate u(z(d)).
8*d**4
Let s(z) = -1164*z**2 - 2. Let b(q) = 2*q. Give b(s(t)).
-2328*t**2 - 4
Let s(h) be the third derivative of 0*h + 0*h**4 - 4*h**2 + 0*h**3 + 0 - 1/20*h**5. Let k(v) be the second derivative of v**3/2 - v. What is k(s(r))?
-9*r**2
Let m(o) be the third derivative of o**4/12 - o**2 + 119. Let r(l) = -2*l - 10. Give r(m(c)).
-4*c - 10
Let f(j) = 9*j - 5. Let l(t) be the second derivative of 2*t**3/3 - t**2 - 25*t. Let x(m) = 2*f(m) - 5*l(m). Let c(y) = 3*y**2. Give x(c(q)).
-6*q**2
Suppose 2*a - 2 = -w, 4*w - 13*a = -11*a + 8. Let o(b) be the third derivative of 0*b + 0 - 5*b**w + 0*b**3 + 1/24*b**4. Let x(r) = -19*r**2. Determine o(x(m)).
-19*m**2
Let f | {
"pile_set_name": "DM Mathematics"
} |
cement from mmmmmmmmbmmm.
5/6
Two letters picked without replacement from jtdjqjeujjttjjuujje. What is prob of picking 1 d and 1 q?
1/171
Four letters picked without replacement from {m: 3, c: 6, r: 2, t: 4, n: 2}. What is prob of picking 1 r, 2 n, and 1 m?
3/1190
Two letters picked without replacement from tftoqwou. Give prob of picking 1 u and 1 o.
1/14
Four letters picked without replacement from hrfggrhrfgfgggrfcg. What is prob of picking 1 h, 1 c, and 2 g?
7/510
What is prob of picking 2 y when two letters picked without replacement from nnonononnoynnnny?
1/120
Calculate prob of picking 2 i and 2 s when four letters picked without replacement from siisiiiiisii.
12/55
Four letters picked without replacement from {g: 1, c: 3, e: 3, q: 3, n: 1}. What is prob of picking 1 g and 3 c?
1/330
Calculate prob of picking 1 p, 2 o, and 1 z when four letters picked without replacement from zzpppooppppppzzz.
9/364
Calculate prob of picking 2 r and 1 j when three letters picked without replacement from jrrrjrjjjjrrrj.
21/52
Three letters picked without replacement from hhiihihbb. Give prob of picking 2 i and 1 h.
1/7
Calculate prob of picking 1 z and 1 q when two letters picked without replacement from {z: 6, y: 1, h: 3, q: 2, r: 1}.
2/13
Three letters picked without replacement from ygmbmngb. Give prob of picking 1 b, 1 n, and 1 y.
1/28
Three letters picked without replacement from {u: 3, z: 5}. Give prob of picking 3 z.
5/28
Two letters picked without replacement from hhhhhhhhvhhhhhhvhhvh. Give prob of picking 2 v.
3/190
Three letters picked without replacement from {c: 2, p: 7}. What is prob of picking 3 p?
5/12
Four letters picked without replacement from {r: 1, q: 2, c: 4}. What is prob of picking 4 c?
1/35
Three letters picked without replacement from {w: 1, e: 1, p: 1, o: 2}. Give prob of picking 1 o, 1 e, and 1 w.
1/5
What is prob of picking 4 a when four letters picked without replacement from {v: 4, a: 15}?
455/1292
Three letters picked without replacement from {w: 1, u: 1, g: 4, h: 2, z: 1}. Give prob of picking 1 u, 1 w, and 1 g.
1/21
Two letters picked without replacement from brbrinrrv. What is prob of picking 2 b?
1/36
Calculate prob of picking 1 b and 1 r when two letters picked without replacement from {b: 3, v: 3, s: 4, r: 3}.
3/26
Four letters picked without replacement from {s: 5, a: 3}. What is prob of picking 3 s and 1 a?
3/7
Three letters picked without replacement from {q: 1, j: 6, s: 3, m: 6, k: 1}. What is prob of picking 1 q, 1 k, and 1 m?
3/340
Calculate prob of picking 1 r and 2 v when three letters picked without replacement from vvrrrvv.
18/35
Calculate prob of picking 1 n, 1 m, and 1 b when three letters picked without replacement from bmwon.
1/10
Three letters picked without replacement from {t: 4, j: 1, y: 1, k: 4, c: 4, a: 3}. What is prob of picking 1 k, 1 c, and 1 t?
8/85
Two letters picked without replacement from cccccc. What is prob of picking 2 c?
1
What is prob of picking 2 b when two letters picked without replacement from mmmhhbhhhbmbhb?
6/91
Four letters picked without replacement from snmnbqnhnhhb. What is prob of picking 1 h, 1 b, 1 n, and 1 m?
8/165
What is prob of picking 1 z and 1 f when two letters picked without replacement from ofofofzffo?
1/9
What is prob of picking 3 w and 1 y when four letters picked without replacement from uyooowyooytoooy?
0
Two letters picked without replacement from llualauaulupaauu. Give prob of picking 1 p and 1 u.
1/20
Calculate prob of picking 1 j and 1 t when two letters picked without replacement from jjfjfjsjjfftt.
2/13
Calculate prob of picking 1 j and 2 q when three letters picked without replacement from jjqqjjjjjjjj.
1/22
Calculate prob of picking 2 h, 1 e, and 1 v when four letters picked without replacement from {h: 2, e: 1, g: 2, m: 4, v: 1}.
1/210
What is prob of picking 1 j, 1 x, and 2 h when four letters picked without replacement from fjjxxfhhfxx?
4/165
Two letters picked without replacement from {s: 2, x: 4, d: 3}. What is prob of picking 1 x and 1 d?
1/3
What is prob of picking 1 z and 1 x when two letters picked without replacement from xzzxzzz?
10/21
Two letters picked without replacement from {w: 5, n: 5}. What is prob of picking 1 n and 1 w?
5/9
Two letters picked without replacement from peoepppeppe. Give prob of picking 2 e.
6/55
Four letters picked without replacement from gggwygwibbviwy. What is prob of picking 1 w, 1 i, and 2 g?
36/1001
Calculate prob of picking 2 a and 1 j when three letters picked without replacement from {j: 9, r: 4, a: 4}.
27/340
Calculate prob of picking 4 t when four letters picked without replacement from tttztttztttzzt.
30/143
Two letters picked without replacement from oofvykmkfffvym. What is prob of picking 1 k and 1 f?
8/91
Three letters picked without replacement from {l: 10, a: 10}. What is prob of picking 1 l and 2 a?
15/38
Two letters picked without replacement from {p: 1, e: 1, u: 2, o: 4}. What is prob of picking 1 e and 1 o?
1/7
Three letters picked without replacement from {o: 4, d: 2, z: 1, t: 3, h: 5, m: 5}. Give prob of picking 1 o and 2 m.
2/57
What is prob of picking 2 j when two letters picked without replacement from {j: 4, d: 6, e: 10}?
3/95
Three letters picked without replacement from yqqqmramgrgyraqq. Give prob of picking 1 g, 1 q, and 1 r.
3/56
Calculate prob of picking 1 o and 1 w when two letters picked without replacement from yoyoycycw.
1/18
Calculate prob of picking 2 r when two letters picked without replacement from {c: 2, r: 2, e: 1, b: 1, z: 1}.
1/21
Calculate prob of picking 1 k and 1 l when two letters picked without replacement from klllkilikkklkllk.
49/120
What is prob of picking 2 j when two letters picked without replacement from {z: 2, j: 6, a: 3, v: 4}?
1/7
Calculate prob of picking 2 w when two letters picked without replacement from {d: 1, w: 2, y: 1, c: 1, k: 1, l: 1}.
1/21
Calculate prob of picking 1 t, 1 u, 1 s, and 1 y when four letters picked without replacement from {s: 1, h: 11, t: 3, n: 3, u: 1, y: 1}.
1/1615
What is prob of picking 2 k when two letters picked without replacement from {k: 2, b: 1}?
1/3
Three letters picked without replacement from {d: 9, r: 2, q: 7}. What is prob of picking 1 r and 2 d?
3/34
Two letters picked without replacement from {r: 4, w: 7, y: 6}. Give prob of picking 2 w.
21/136
Calculate prob of picking 1 u, 2 g, and 1 n when four letters picked without replacement from {m: 3, u: 1, g: 7, n: 5}.
3/52
Four letters picked without replacement from {k: 2, r: 8, j: 5, i: 4}. What is prob of picking 1 k, 2 r, and 1 j?
70/969
Three letters picked without replacement from {z: 4, q: 1, f: 2, c: 1, v: 3, t: 1}. What is prob of picking 1 f, 1 z, and 1 v?
6/55
Calculate prob of picking 1 w and 1 i when two letters picked without replacement from iiiiiiiiiwiiiiiiiii.
2/19
Three letters picked without replacement from ddfwdkwdwdwwwlfwd. Give prob of picking 1 k, 1 d, and 1 l.
3/340
What is prob of picking 1 m and 1 l when two letters picked without replacement from tmwol?
1/10
Four letters picked without replacement from mmcmcmggcgmmcmmmic. What is prob of picking 2 g, 1 m, and 1 i?
3/340
Three letters picked without replacement from ggggagagggga. Give prob of picking 1 g and 2 a.
27/220
Two letters picked without replacement from ouonpnxc. Give prob of picking 1 p and 1 u.
1/28
Calculate prob of picking 2 v when two letters picked without replacement from {v: 2, r: 1, u: 1}.
1/6
Calculate prob of picking 2 i when two letters picked without replacement from eiiiiiie.
15/28
Three letters picked without replacement from {b: 2, r: 1, v: 8, u: 2, d: 7}. What is prob of picking 2 b and 1 v?
2/285
Calculate prob of picking 2 f when two letters picked without replacement from ebgggegebgggffgeeegg.
1/190
Three letters picked without replacement from xezeeexexeexexexee. What is prob of picking 1 x and 2 e?
55/136
What is prob of picking 1 i, 1 y, 1 u, and 1 x when four letters picked without replacement from {i: 2, y: 1, u: 1, x: 4}?
4/35
Three letters picked without replacement from {a: 1, j: 11, i: 1, r: 1, o: 1}. Give prob of picking 1 r, 1 i, and 1 j.
11/455
Two letters picked without replacement from vvuvu. Give prob of picking 2 u.
1/10
Four letters picked witho | {
"pile_set_name": "DM Mathematics"
} |
0 for i.
-2
Let p be -6*(-1 - 2/4). Let j(w) = -w**3 - 7*w**2 - 2*w + 24. Let z be j(-6). Solve 2*t + 2*g - 12 = z, 0 = -5*t + 3*t + 5*g - p for t.
3
Suppose -4*i + 3*i - z = 0, 4*z = 4*i - 16. Suppose 10 = 7*o - i*o. Solve -12 = o*v - 4*f, 4*v - 3*f + 8*f - 2 = 0 for v.
-2
Let u(g) = 2*g - 1. Let h be u(-1). Let a = 0 - h. Suppose -2 - 5 = -2*i + a*o, i = o + 3. Solve -2*w + n = 2*w + 8, 2*w = 2*n + i for w.
-3
Suppose -m + 5*x = -0*x + 10, -4*m = x - 23. Suppose 3 = -v, -22 = -5*o + 5*v + 8. Let k be 4/6 - 2/o. Solve -m*y + 25 = k, r = -0*r - 5*y + 24 for r.
-1
Suppose -4*t + t + 102 = 0. Solve c - t = -5*o + 4*c, 2*o + 4*c + 2 = 0 for o.
5
Let j be (1 - -1)/(-1 + 3). Suppose 5*d = 3*b - 2*b - 14, -5*b = 2*d + 11. Let q = j - d. Solve k - 3 = n, 0 = -5*n - 4*k + q + 8 for n.
0
Suppose a + 8 + 10 = -4*o, -2*o = -3*a + 16. Solve 2*v + 0 = -a*z - 2, 4*z - 3*v = -32 for z.
-5
Let s be (2/6)/(19/57). Let v = 1 - 1. Solve -5*g + l + 17 = v, 4*g + 2*l - s = 21 for g.
4
Let a = -79 - -88. Solve -5*l + k = 23, -l - 5*k - a = 6 for l.
-5
Let j be (-6)/(-15) + 216/10. Let c be 62/j - 4/(-22). Solve -2*l = -4*r + 6, 2*r + 2 = -l - c*l for r.
1
Suppose 10*d - 29 = 11. Solve 4*o = p + 16, d*p = o - 2 - 2 for o.
4
Suppose -3*k + 9 = -0*k. Let m(q) = -3*q**2 + k*q - 2*q + 2*q**2. Let z be m(1). Solve z = -4*u - 4*g + 8, 9 = -2*u + 5*u + 2*g for u.
5
Suppose y - 12 = -3*y. Let n(c) be the first derivative of -c**4/4 + 2*c**3/3 + 3*c**2/2 + 3*c - 5. Let w be n(y). Solve b - f - 11 = -b, 4*b = -w*f + 7 for b.
4
Let p be (2*-1)/(3 - 5). Let g be 6 - (3 + -2)*p. Let u be 2 - (1 + (-2)/2). Solve -m - u*c - 16 = 3*c, 4*m = g*c + 11 for m.
-1
Suppose -a = -4*f + 93 - 23, 0 = -2*a - 4. Let q = f + -13. Solve 4*c - 1 - 2 = 5*d, 2*d = -q*c - 18 for c.
-3
Let s = -7 - -12. Solve 5*y - 4*j + 30 = 0, y + 19 = 4*y + s*j for y.
-2
Let h(x) = x - 2*x - x**2 + 1 + x**3 + 3*x. Let k be h(0). Solve 2*m - 22 = -5*d + 9, -k = 3*m - 2*d for m.
3
Let p(z) = -z**3 - 7*z**2 - 8*z - 7. Let t be p(-6). Let r = 42 + -34. Solve 3*k + 13 = t*d, 3*k - k = r for d.
5
Suppose 2*x + 3 = -5. Let n be (4 - 1) + x + 4. Solve -2*v + 5 = 4*w + 3*v, -w = -n*v - 14 for w.
5
Suppose 5*n - 20 = 5*f, 0*n + 8 = 2*n + f. Suppose 0 = 2*k - 10, -n*k = -v + k - 23. Solve -13 = -3*w + 5*h, 3*w - v*h = 2*h + 8 for w.
-4
Let u = -15 + 17. Solve u*s = 5*f, -f + 0 = 2 for s.
-5
Let q = 78 + -76. Solve 5*z = -2*w + 6*w + 40, -q*z = -5*w - 33 for w.
-5
Suppose -18 = -3*k - 4*h, -4*k + k = -4*h + 6. Suppose -28 = -k*j - 4*z, -z + 3*z - 8 = 0. Solve 0 = 4*u + 5*i - 6, -3*u = -5*u + 2*i - j for u.
-1
Let s = -14 - -23. Let t = s - 3. Solve -4*d = -16, -t = -4*y + 4*d - 34 for y.
-3
Suppose 0 = r - 4*a + 1 - 2, -2 = -2*a. Solve -r*h - 21 = -m, 2*m + h + 1 = -m for m.
1
Let r(b) = 2*b**3 + 3*b + 3. Let m(l) = -3*l**3 - l**2 - 2*l - 3. Let c(p) = -3*m(p) - 4*r(p). Let h be c(-4). Solve 5*x - 25 = 5*w, 5*w + 4 = -h*x - 1 for x.
2
Let n be (-2 + 0/2)*-2. Suppose r = g - 5, -g + 0*r + 14 = -n*r. Suppose 61 = 3*v - 4*a, 5*v - 2*a = 25 + 58. Solve -g*d = 3*d + 2*j + v, -5 = -d - 2*j for d.
-5
Suppose 0 = -7*c + 3*c. Suppose 4*u - u = 12. Solve 1 = 5*x - u, c = -3*f + x - 1 for f.
0
Let v be 5 - (-3 - (-2 - 4)). Solve -v*m = y - 5*m - 8, 0 = 3*y + 2*m + 9 for y.
-1
Suppose t = r + 16, 5*r - 4 = -2*t + 3*t. Let m be (-2*1)/((-4)/10). Let b = 8 - m. Solve -5*u - l = l + t, -2*l - b = -u for u.
-3
Let b(t) = t + 3. Let q be b(-4). Let u be (q + 4 + -1)*4. Solve -2*d + 9 = -3*j, 5*d - 3*j - 10 = u for d.
3
Let t = 4 + -4. Solve o - 4*q = -23, -5*q = -3*o - t*o - 34 for o.
-3
Let x = 4 + -2. Solve -16 = 4*l - x*r, -l + 12 = -4*l + r for l.
-4
Let n(j) = j**3 + 11*j**2 + 9*j - 10. Let r = 13 - 23. Let d be n(r). Solve -o + 4 = -v, d = 4*v + 2*o - 1 - 7 for v.
0
Let q(g) = g + 17. Let z(m) = -m - 17. Let c(y) = -3*q(y) - 4*z(y). Let w be c(-15). Solve 4*n - f - f + 10 = 0, 2*n = w*f - 10 for n.
0
Let j(d) = -d + 9. Let p be j(6). Solve -2*n - 1 = 2*u - p, 5*u = n - 13 for n.
3
Let s(n) = 5*n**2 - n. Suppose 0 = -0*t - 3*t + 3. Let i be s(t). Solve -v - 20 = -5*y - 6*v, 4*y - v + i = 0 for y.
0
Let l be 172/(-6) - (-2)/(-6). Let v = -21 - l. Suppose -v*b + 3*b + 25 = 0. Solve -5*y - 30 = s, 1 = -b*s + 3*y - 9 for s.
-5
Let g(q) = q**3 + 3*q**2 + 2*q + 4. Let d be -3*(-2)/(-3) - 1. Let c be g(d). Let o be ((-1)/c)/(6/36). Solve 5*n = -3*t - 28, -3*t + 7 = -o*n + n for t.
-1
Let m = -8 - -12. Suppose 15 = d + m*d. Solve -o = d*u + 8, 2 = 3*o - 4*u - 0 for o.
-2
Let a(n) = -n**3 + 2*n**2 + 3*n - 4. Let r be a(2). Solve 7*i - r*i - 4*t = -8, 5*t - 10 = -5*i for i.
0
Let m = 2 - 0. Let b = m - 2. Solve -2*o + b*o - y = -9, 3*o - 2*y = 3 for o.
3
Suppose 14 = -2*w - 36. Let j = -5 - w. Suppose -2*t + 12 = 2*a, -7*a + 8*a + 2*t - 10 = 0. Solve -5*g = -2*c - j, 3*g + 2*c + a = -g for g.
2
Let g(m) be the first derivative of -m**3/3 + 3*m**2 + 7*m + 1. Let b be g(6). Solve q - t - 6 = 0, 2*t + 2 = q - b for q.
3
Let j(w) be the first derivative of 2/3*w**3 - w + 0*w**2 + 11/4*w**4 - 3. Let l be j(1). Solve -3*u + g = -3, -u + l = -6*g + 2*g for u.
0
Let a be 3*2*1/2. Solve 6 = a*w - w + 4*d, 5*w - 6 = -d for w.
1
Suppose -4 = -12*v + 10*v. Solve -2*d = 2*b - 2, b - 2*d = 4*b - v for b.
0
Let j(h) = 2*h**2 + 33*h + 20. Let a be j(-16). Let c(r) = r - 1. Let g be c(3). Suppose -3*b + g = -16. Solve -5*n + b + a = -x, 0 = n - 3 for x.
5
Let s(d) = -1 + 2*d - 2*d + d. Let w be s(4). Solve -4*u + 14 = -2*b, -2*b = w*u - b - 8 for u.
3
Let q(c) = -c**3 - 5*c**2 - 4*c + 4. Let l be q(-4). Solve l*i - i = 4*u + 1, 1 = -3*u + 2*i for u.
-1
Suppose -1 + 3 = o. Suppose -7 = -5*y + o*x + 9, 5*x = 5*y - 10. Solve 3*m + 8 = 2, -w + 11 = -y*m for w.
3
Let u = 7 + -5. Let b = u + 0. Suppose 0 = -b*t + 2*k + 10, 2*t = -3*k - 5. Solve 2*a - 2*x = -2, 3*x - 4 = t*a + 3 for a.
4
Suppose -g - 3*g - 5 = 5*a, 5*a - 2*g - 25 = 0. Solve a*o - 7 - 10 = -p, -o + 4 = 0 for p.
5
Suppose y + 3*f = 17, -5*y + 6*f - 2*f + 28 = 0. Let b = y + -4. Solve 3*z + 3*o = b*o, 5*z = -4*o for z.
0
Let m be (0/(3 + -5))/(-2). Suppose m = 3*r - 6*r + 75. Suppose -u = 4*u - r. Solve -5*s + 3*s + 18 = 5*l, u*s - 18 = l for s.
4
Suppose 3*b - r - 16 = 10, 5*b = -3*r + 20. Solve -2*w - 5*g = b - 2, -7 = w - 2*g for w.
-5
Let x be (-1)/(((-6)/(-9))/(-2)). Suppose 0*f + 120 = x*f. Solve a + 4*w = -0*a + 24, -5*a - 4*w + f = 0 for a.
4
Suppose -4*l + 9 = -h + l, -4*h - 4*l + 36 = 0. Let c = -61 - -64. Solve 4*q + 5*f - 8 = 0, -2*q + 0*q = c*f - h for q.
-3
Let i be (-2527)/(-285) - 4/(-30). Solve 3*q - 4*s + 20 = 0, -4*s + 11 + i = -4*q for q.
0
Suppose 15*p = 56 + 34. Solve -4 = -4*n - 4*t, 4*t - p*t = 4*n for n.
-1
Let p = 14 - 9. Suppose 15 = p*o - 10. Solve -1 = i - 4*r, 2*i - 3*i - 1 = -o*r for i.
-1
Let x = 1 - -1. Let g be 6/(-3) + (-14)/(-2). Solve -2*w + n - 2*n = -1, -4*n - x = g*w for w.
2
Let p be (8/(-3))/((-6)/18). Solve x - p = 4*k, 3*k + 5*x = k - 26 for k.
-3
Suppose -5 = -2*b + 15. Solve 3*x + 2*q + 0*q - 15 = 0, 2*x - b = -q for x.
5
Suppose -4*y - 2*f = 4, -4*y + 2*y - 2*f = 4. Solve -3*c - 2*c - 20 = 2*p, 5*c + p + 15 = y for c.
-2
Let n be 6/3 + (-1)/(-1). Suppose -u + n*u = 6. Solve -2*k - u*d + 2*d = 5, -2*k - 5*d = -15 for k.
-5
Let j = -6 - -7. Let o = 4 + j. Let q = -6 - -8. Solve q*k - 3*x = -o*x, -2*k + 5*x = 7 for k.
-1
Let z(x) = 1 + 2*x - 5*x - 2. Let n be z(-1). Suppose 2*w - 27 = -1. Solve -4*v + 3*y = -5 + w, 2*y = -v - n for v.
-2
Suppose 3*n - 2*n - 21 = 0. Let x = n + -16. Solve w - 2 = 3*t - x, w + 4 = 4*t for t.
1
Suppose -2*z - 8 = -5*i + 4, -5*z + 32 = 3*i. Solve 2*s - 12 = -z*g, -4*g = -s - 0*s for g.
1
Let k be 24/(-12) - (2 - 31). Solve -3*u + k = -4*v, 22 = v + 5*u - 0*u for v.
-3
Let p(c) = -c**3 + c**2 + 4*c - 1. Let n be p(3). Let q = 12 + n. Suppose 2*l + 6 = q*l. Solve -j = 6*w - w - l, -2*w - 7 = 3*j for w.
1
Let d(z) = z**2 + 8*z + 9. Let k be 1 - (24 - 0)/3. Let o be d(k). Suppose -2*n = o*n - 40. Solve 2*s = 3*f - 14, -n = s + 2*s + f for s.
-4
Suppose 8 = 17*z - 15*z. Solve -c + 4*i = -1 + 16, 24 = -z*c + 4*i for c.
-3
Suppose 0*c - 26 = -c. Solve -5*i = -b - 10, -c = -i + 9*b - 4*b for i.
1
Suppose -10 = -5*n + 5. Suppose -5*x + 5*y + 5 = -5, -n*x - 4*y = -6. Solve -1 = -3*b - x*v + 8, 17 = b - 4*v for b.
5
Let w be 405/25 - 2/10 | {
"pile_set_name": "DM Mathematics"
} |
)/(12/105).
88
Let u(i) = i**3 - 4*i**2 + 4*i - 6. Let r be u(4). Suppose 0 = 3*d - 2*d - r. Let k(z) = -z**2 - 7*z - 6. Calculate the least common multiple of k(-5) and d.
20
Let l = 1/3235 + -274989/45290. Calculate the common denominator of 29/2 and l.
14
Find the common denominator of -57/14 and 12/(-15) - 1371/30.
14
Let v(z) = -2*z. Let u(w) = -w**2 + 3*w. Let c(s) = -2*u(s) - 5*v(s). Calculate the lowest common multiple of c(-3) and 12.
12
Suppose -4*r - 36 = -3*t, 4*r + 12 = 4*t - 3*t. Find the common denominator of ((-438)/9)/((-16)/t) and -23/12.
12
Let f(l) = l**3 - 6*l**2 + l - 1. Let x be f(6). Suppose -52 = -x*g + 38. Let m = -8 + g. Calculate the least common multiple of m and 14.
70
Calculate the common denominator of (-59)/5 - (-2)/(-4) and 121/6.
30
Let g(a) = 13*a - 2. Suppose 6 + 11 = l + y, -120 = -5*l + 2*y. What is the lowest common multiple of l and g(2)?
264
Suppose 3 + 2 = -5*a. Calculate the common denominator of 36 and 1 + (a - (-33)/12).
4
Let q(b) = 2*b + 14. Calculate the lowest common multiple of 12 and q(6).
156
What is the common denominator of (-20)/5 - (-46)/14 and 1/8?
56
Find the common denominator of (-54)/(-48)*(-6 + -1) and 5/4.
8
Suppose m = 5*m + 5*i + 25, 4*m = -2*i - 10. Suppose m = -3*t + w + w + 23, -5*w = 5*t - 80. Calculate the least common multiple of 7 and t.
77
Let y be (-26469)/(-12) - 1/(-4). Let t = -15500/7 + y. Calculate the common denominator of t and -22/3.
21
Let j(v) = 2*v - 1. Let i(d) = -4*d**3 + d**2 - 1. Calculate the lowest common multiple of i(-1) and j(5).
36
Let g = -8 - -16. Calculate the lowest common multiple of 9 and g.
72
Let q be (-3)/(-1)*-13 + 0. Calculate the common denominator of -115/12 and q/18 + 1 - 4.
12
Let g = -3584 + 42971/12. Suppose 38 = 4*o + 2*a, 0*o + 3*a = 5*o - 42. Find the common denominator of g and (3/o)/(2/97).
12
Calculate the common denominator of -7 - -3 - 11/18 and 31/7.
126
Let y(l) = l**3 - l**2 - 6*l + 7. Let k be y(5). What is the common denominator of (-2)/8 - (-235)/36 and k/(6/3*1)?
18
Suppose -5*z - 14 = 4*t - 41, 2*t - 14 = -2*z. Calculate the smallest common multiple of t and 50.
200
Suppose -3*f + 2 = -f. Suppose f = -4*s + 25. Calculate the smallest common multiple of (-2)/3*(-3)/2 and s.
6
Let a = -56 - -76. Suppose 0 = o - 3*o + 6. Calculate the lowest common multiple of a and 2*o - (2 + 0).
20
Let n = 4642 - 102045/22. What is the common denominator of n and 6/12 - (-210)/(-49)?
154
Let r = -215465/944748 - 2/10269. Calculate the common denominator of r and -97/10.
460
Let l = -204965/7 - -29181. Let b = 201/2 + l. Let t = 133213/16 + -8323. Find the common denominator of b and t.
112
Suppose 8 = k - 3*d - 7, 5*k - 64 = 4*d. Calculate the lowest common multiple of 3/(-2)*(-56)/k and 1.
7
Let x = -1/44 + -206/11. Let h = -1 + -3. Calculate the common denominator of x and (-9)/h - 2/(-12).
12
Let u(f) = f**3 + 9*f**2 - 2*f + 4. Suppose -4*r + 48 = 3*h - 5*r, 0 = -5*h - 2*r + 69. Let g = -24 + h. Calculate the least common multiple of u(g) and 10.
110
Let i be 10/16*85414/(-10). Let b(k) = -594*k. Let r be b(9). Let a = i - r. Calculate the common denominator of a and 5/18.
72
What is the common denominator of 57/(-54) - 3 - -3 and 57/20?
180
Let k(c) = c**2 - 3*c + 7. Calculate the least common multiple of k(3) and 20.
140
Let u(g) = 326*g**2 - 2*g + 1. Let l be u(1). Let z = l + -1221/4. Let p = 4/239 - 11241/478. Calculate the common denominator of p and z.
4
Let n be (13682/(-6))/(696/9). Let h = -3/232 + n. What is the common denominator of h and 127/12?
12
Suppose 9*s = 4*s + 80. What is the least common multiple of 20 and s?
80
Let c = 225/121 - 5/121. Suppose -2*g - 1 = -11. Calculate the common denominator of g and c.
11
Let m = 84 + -754. What is the common denominator of (3/(-4))/(135/m) and -71/14?
126
Suppose -h = -2*m - 11, -4*h + 5*m - 16 = -66. Calculate the least common multiple of 10 and h.
30
Let x = 17 + 6. Let f = x + -7. Calculate the smallest common multiple of f and 14.
112
Let i(j) = 2*j + 6. Suppose -38 = -5*n + 22. What is the lowest common multiple of i(n) and 11?
330
Let i = -3 + 15. Suppose 2*n + 20 = 5*p, -2*n + 0 = p + 8. Calculate the smallest common multiple of p and i.
12
Suppose 15 + 3 = 2*a. Calculate the lowest common multiple of (-6)/a + (-28)/(-6) and 4.
4
Find the common denominator of 77/16 and (3*(-776)/300)/(8/(-5)).
80
Let d(o) = -3*o + 10. Let b(p) = -2*p + 11. Let n(y) = 2*b(y) - 3*d(y). What is the lowest common multiple of n(6) and 12?
132
Let m(g) = 3*g**2 - 4*g - 2. Calculate the smallest common multiple of m(2) and 1/4 + 43/4.
22
Suppose -18 = -4*s + 6. Suppose s = -2*f + 28. What is the lowest common multiple of f and 7?
77
Calculate the common denominator of 151/36 and 2/(-9) - 7/(-70)*-5.
36
Let p(b) = -5*b + 27. Calculate the least common multiple of 22 and p(3).
132
Find the common denominator of 2022/(-432) + 2/16 and (-265)/30 - 1*-1.
18
Let i be (-1084)/(((-12)/33)/(-2)). Let u = 65627/11 + i. What is the common denominator of 13/2 and u?
22
Let j = -3 - -5. Let s be (54/j)/((-9)/(-6)). Let u = 13 + s. Find the common denominator of u and 89/10.
10
Let o = 1416805/119814 - 674/57. Let m = -59383/3153 + o. Find the common denominator of 101/6 and m.
6
Let j = -62 + 87. What is the lowest common multiple of 50 and j?
50
Calculate the common denominator of -56/3 and 24/44 - -2 - 0.
33
Let z = 2/1975 + -61239/13825. Let x = 3413/5 - 695. What is the common denominator of z and x?
35
What is the common denominator of (1/4)/(18/(-1314)) and 17/13?
52
Let r = -11 - -12. Calculate the lowest common multiple of 8 and r.
8
Suppose 3*i - 109 = 4*i. Let r = 8605/16 + -538. What is the common denominator of i/(-10) + 2 + -1 and r?
80
Let c be (15/10)/(1/2). Calculate the common denominator of -95/2 and ((-14)/4 - -1) + c.
2
Let x = 3 + -1. Suppose s - 5*i = -3*s + 18, -s + 5*i = -12. Suppose x*y = -s*y + 24. Calculate the smallest common multiple of y and 14.
42
Suppose 0*u - 21 = -3*u. Let z = -2 - -4. Suppose -z*o - 33 = -5*o. Calculate the lowest common multiple of u and o.
77
Let n(f) = -f**3 - 2*f**2 - f. Calculate the smallest common multiple of 11 and n(-2).
22
Find the common denominator of 33/8 and ((-10)/80)/(2/396).
8
Suppose 0 = 3*i - 3 - 0, -3*n - 3*i + 3 = 0. Find the common denominator of 0 + (278/(-24) - n) and 1 - (-1 + 75/14).
84
Let l = -261/5 + 5416/105. Calculate the common denominator of -71/12 and l.
84
Calculate the common denominator of 15/(-18)*(-170)/50 and -25/8.
24
Let t = 0 + 4. Let q = -28 - -37. What is the lowest common multiple of q and t?
36
Suppose 12 = -v + 52. Suppose -u = 3*u - v. Calculate the smallest common multiple of 7 and u.
70
What is the common denominator of 16/3 and 2/8*171/(-6)?
24
Let v be (-1)/((-26)/(-24) + -1). Let x(d) = d**3 - d**2 - 2*d + 1. Calculate the lowest common multiple of x(2) and ((-9)/(-6))/(v/(-32)).
4
Suppose 4 = -j, 0 = 5*a - 5*j + 11905 + 5295. Let f = a - -6784. Let d = f - 13291/4. What is the common denominator of d and 71/9?
36
Suppose 0 = -5*a + 7*a - 40. Calculate the lowest common multiple of a and (-6)/(-4) - (-1)/2.
20
Suppose 2*g = 3*g - 3. Suppose -g*w + 6*w = 12. Suppose -1 = -w*j + 31. What is the smallest common multiple of j and 18?
72
Suppose -4*u = -5*u - 2. Let w be (-21)/((-1)/(-1 - u)). Suppose -3*x + w = -9. What is the least common multiple of 8 and x?
40
Find the common denominator of 8/17 and 12/8*8/42.
119
Let a(h) = 3*h**3 - h + 1. Calculate the smallest common multiple of a(1) and 11.
33
Let t = 10 + -6. Suppose t*z - 24 = z. Calculate the smallest common multiple of 4 and z.
8
Suppose -20 = 4*c - 268. Let s = -10 + c. Suppose -2*m + s = -4*l, l + 7 = 2*m + 6*l. Calculate the least common multiple of m and 4.
16
Let g = -7339/144 + 439/9. Calculate the common denominator of 61/2 and g.
16
Suppose f = 1 + 3. Let o = -98 + 106. What is the lowest common multiple of f and o?
8
Let y = 5 - 3. Suppose -z = -y*z + 8. Calculate the smallest common multiple of z and 18.
72
Suppose 0 = -4*d - 4*y - 40, 0 = d + 5*y - 14 + 4. Find the common denominator of 2/(-3) + 146/24 and (59/55)/((-6)/d).
132
Let i be ((-3141)/12)/(1/(-4)). Let t be (-4)/18 - i/27. Let c = 350/9 + t. Find the common denomin | {
"pile_set_name": "DM Mathematics"
} |
t t(r) = r + 3. Let p be t(3). Suppose 225 = -41*c + 111 + 196. Solve -15 = -4*z - 5*b, -z - b = -c*b - p for z.
5
Let y(r) = -2*r**3 + 6*r**2 - r + 3. Let t be y(3). Let g = 0 - t. Suppose 15 = -g*w + w. Solve j = -z + 5, 0 = -5*z + w for j.
2
Suppose 2*q + 4*o = 20, 16*q - 11*q - o + 5 = 0. Solve -4*w = -q*l + l + 15, -l - 12 = 3*w for l.
-3
Let g = 17 + -8. Let t be 7 + (-8 - (-7 - 4)). Suppose -3 = -t*f + g*f. Solve 2*v = 2*j + 2, -v - f*j - 9 = 2 for v.
-2
Let d(n) = -5*n**2 - 36*n - 3. Let z be d(-7). Suppose -327*i + z = -326*i. Let x be 10*1/(2 + -1). Solve l + 3*l = i*p - 8, -l = -3*p + x for p.
4
Suppose -16*j = -12*j - 8. Suppose 0 = -16*m + 13*m - 405. Let l be (-435)/m + (-4)/18. Solve -5 - 3 = -j*x + l*i, -2*i = -4*x + 16 for x.
4
Let z(r) = 4*r - 8. Let v be z(6). Suppose -20*i + v*i + 12 = 0. Suppose -6*a = -i*a - 9. Solve 3*s + a*u - 27 = 0, -3*s - s + 3*u = -1 for s.
4
Let s(z) = 15*z**2 + z**3 + 6*z**2 + 8*z + 17*z**2 - 47*z**2 + 5. Let i be s(8). Suppose 6 = f - i*t, f - 3*f = -t - 3. Solve b = -v, -b - 2*v + 1 = -f for b.
-2
Let i = 15722 - 15721. Solve -i = -q, 0 = 3*f + 33*q - 31*q - 8 for f.
2
Let k = -31 - 61. Let w = -62 - k. Suppose 3*s - s = w. Solve 2*v - s = -5*g - 3, -v - 3 = -2*g for g.
2
Suppose 27 = -w + 4*w. Suppose 5*z - 2 - 48 = 0. Suppose z*k = w*k + 6. Solve n = -t - t + 2, k = -2*t - 3*n for t.
3
Suppose 0 = -2*y - 2, -3*v + 10 = 3*y - 2. Solve j = -v*t + 2, 2*j = -4*t + 7*j + 19 for t.
1
Suppose -3*a - 134 = -4*n - 158, -a + 13 = -3*n. Solve a*h = 2*k - 0 + 6, -3*h - k = -12 for h.
3
Suppose 4 = 2*f, q + 0*f + 2*f - 123 = 0. Let i = q - 184. Let m = i + 69. Solve -3*y + m = -2*s - 2*y, 4*y + 17 = -3*s for s.
-3
Let n(a) = 61*a - 364. Let f be n(6). Let j be (7 - 2) + 2/(-2). Suppose 0 = 5*y - 2*u - 21, 0*u = -4*y - j*u. Solve 3*b = 3*x, -4*x + f*b - 1 = -y for x.
1
Suppose -17*l - 339 + 390 = 0. Solve -21*f = 5*r - 17*f + 21, l*f - 3 = 0 for r.
-5
Let y = 58 - 50. Suppose -y*z + 7 + 9 = 0. Suppose 4*a - 4*u - 15 = 25, 5*u = -25. Solve -o + 28 = a*l, -4*o = z*l + l - 27 for o.
3
Suppose 2*v = 3*n - 269, 5*n = v + 506 - 46. Solve -90*g + n*g + 5*m - 40 = 0, 10 = 2*m for g.
5
Suppose -48*a - 6 = -50*a - 4*b, 0 = 5*a - 3*b - 28. Solve 18*l = -4*u + 23*l - 8, 3*u = -a*l + 29 for u.
3
Let t(c) = -c**2 - 7*c - 2. Let w be t(-6). Let s be 23 + -10 - (w - 1). Suppose 13*g = 8*g + 5. Solve 4*j = -x + 2*x - s, -j + g = -2*x for j.
-3
Suppose 15 = 3*x + 2*j - 3, -5*x + 3*j = 8. Solve 2*u + x = -z, 15*z - 2*u + 14 = 20*z for z.
4
Let i(w) be the first derivative of 2*w**3 + 3*w**2 + 30. Let a be i(3). Suppose -11*p - 28 = -a. Solve -n = p*n - j + 12, -n - 12 = -5*j for n.
-2
Let p(t) = 8*t - 33. Let j be p(4). Let b be 0/(21/(-7)) - (j + -1). Solve 0 = -3*r + 9, -r + 17 = 4*k - b*r for k.
5
Let j = 75 + -72. Suppose d - 4 = -j*s, -2*s - 6 = d + 3*s. Solve 3 - d = 2*n + 2*g, 2*n - 12 = 5*g for n.
-4
Suppose 0 = -5*o - g + 181, g + 55 = 5*o - 124. Let b be -2*(-3 - -1)*45/o. Solve 0 = -m - m - 10, d - b*m - 20 = 0 for d.
-5
Suppose 3*z + 93 = 6*z. Let h = 34 - z. Suppose h*q - 13 = -3*y + 4*y, -2*y + 7 = 5*q. Solve a - q*i + 13 = 0, -a + 2*i - 3 - 5 = 0 for a.
2
Suppose 113 - 33 = 16*w. Let z be 2 + -1 + 6 + -4. Let y be z/(-4) + (-15)/(-4). Solve -5*l + y*q = -2, w*l + 4*q = 15 - 6 for l.
1
Suppose 2230 = -11*d - 685. Let w = -261 - d. Solve 2*x - 12 = 5*u, -4*x = 4*u - 9*x - w for u.
-4
Let a be 15 + 1 - (0 - -13)/(-13). Suppose 12*i - 7*i = 15, -i = -4*q + a. Solve 4*c - d - 2 = 0, -4*c - 5 = q*d + 5 for c.
0
Let f(t) = 23*t + 15. Let x be f(3). Let r(g) = -25*g + 5. Let u be r(-3). Let w = x - u. Solve -3*n = -2*i + 13, -4*i + n + 17 = w*n for i.
5
Let p = 6 - 1. Suppose -9*f - 15979 = 2*f - 16023. Let i be (3/(-1) - -11)/2. Solve 3*s - i = 5*c, 3*c - p*c - f = -2*s for c.
1
Let i = -161857 - -161861. Let n be (-9)/(-6)*4/3. Solve -n*v + 1 = -i*f - 5, 2*v + 30 = -5*f for v.
-5
Suppose 7*a + a = 0. Solve 0*r + 2*r + 2*k = 4, 2*r - 3*k + 21 = a for r.
-3
Let a(n) = 3*n**3 + 10*n**2 - 6*n - 4. Let j be a(1). Solve 2*z - 3*p - 14 = 0, 4*z + 3*p - j - 7 = 0 for z.
4
Suppose 59 = 4*v + 5*u, -4*v + 3*u - 665 = -764. Solve -2*b = 3*d + 12, 2*b - 4*d - v = -5 for b.
0
Let c = 24340 - 24336. Solve c*m - 5*b = -22, -45*m = -47*m + 3*b - 12 for m.
-3
Let g = -26 + 36. Suppose 4*d + 3*l + 1579 = -d, 0 = 5*d - 3*l + 1561. Let r = d + 316. Solve r = -c - 3*z, -z = -5*c - 6*z + g for c.
4
Let t(z) = 3*z**2 - z - 2. Let s be t(-2). Suppose 3*a - s = -a. Let h = 3 - a. Solve -5*j = 5*l + 25, 0 = -5*l + j - h - 1 for l.
-1
Let d be (1 - (1 + -2)) + -2. Let k(i) = 16*i - 49. Let q be k(14). Let v = q + -166. Solve v = -4*f + 2*n - 11, d = -f - n + 1 for f.
-3
Suppose 5*w + 5*n = -340, 5*w - 5*n + 419 = 99. Let h = -61 - w. Suppose -4 = 3*j - h*j. Solve -5 = -r, j*y + 3 + 0 = -r for y.
-4
Suppose 3*g = 5*c + 13, 0*c + 30 = -2*c - 5*g. Let w = 7 + -8. Let o be (-1)/w - (-6 + (-20)/c). Solve -u = -5*u - 4, o*s = -5*u - 11 for s.
-2
Let y = -53 + 117. Let q = -61 + y. Solve 2*g = h + 10, g - 15 = -q*h - 2*g for h.
0
Suppose -6*n + n = -15. Suppose 17*b = 13*b - 1704. Let w = 430 + b. Solve -2*x = j + w, 0*x + n*x = 2*j - 20 for x.
-4
Suppose 7*c - 11*c = 4*u + 4, 4*c = -2*u - 8. Suppose -5*x + 42 = u*x. Suppose 2*j = -x + 12. Solve 17 = -j*b - 5*i, -b - 3*i = -0*i + 11 for b.
1
Suppose 5*z + 0*z - 35 = -5*h, 5*h = 4*z + 8. Let l be 129/h + 7/(-28). Suppose -3*p + l = p. Solve 5*v = -2*m - 28, -3*v = -5*m - 0*m - p for m.
-4
Suppose -w + 2 + 3 = 0. Let v = 1324 + -2018. Let j = v + 697. Solve 0 = -3*z + j, 6*c + w = 4*c - 3*z for c.
-4
Suppose -5*i + 11*z = 12*z - 32, 3*z = 3*i - 12. Solve 0*n + 4*d - i = 2*n, 0 = 3*n - 3*d + 3 for n.
1
Let t = -185 + 190. Suppose -4*s = t - 25. Solve -2*c = 2*c + 5*a - 31, -5*c - s*a + 35 = 0 for c.
4
Let m = 396 - 387. Let f be (m + (-10)/5)*2. Solve 3 = 2*k + 1, -5*t + 4*k - f = 0 for t.
-2
Let c(h) = -49*h**2 - 6*h - 11 + 14*h + 48*h**2. Let s be c(3). Solve -3*r + 5*n = 1, -4*r - s*n = n + 13 for r.
-2
Suppose -5*w + 10 = -5*b, w - 5*w - 4*b + 24 = 0. Solve 2*t + w = 4*z, -5*z + 18 = -82*t + 86*t for z.
2
Suppose 4*g = -4, 7*v + g + 56 = 8*v. Suppose 11*a + v = 77. Solve 4*q = -5*p - 8, -3*q + a = -4*p - 23 for q.
3
Let c(v) = -v**3 + 18*v**2 - 18*v + 329. Let a be c(18). Solve 3*f + 3*d + 24 = -0*f, 5 = -4*f + a*d for f.
-5
Let t(f) = -1497*f - 2972. Let m be t(-2). Solve 6*q - q = -j - 33, 2*q - m = 4*j for j.
-8
Suppose -5*z + 125 = -n + 4*n, -3*n = -z - 155. Suppose -n - 106 = 3*d. Let o = d + 54. Solve v + 5*g + o = 4*g, -2 = g for v.
0
Suppose -16*f + 120 = -10*f. Suppose 0 = 14*k - 8 - f. Solve 4*c - 3*w = k*w - 17, 2*c - 2*w = -8 for c.
-3
Let j = 280 + -275. Suppose 7*n - 11*n = 20, 5*n + 45 = j*f. Solve -u = b - 1, 0 = u + u + f*b - 12 for u.
-4
Suppose 5*j - 10 = 0, 5*b - 3*j = -j + 3041. Let r = 611 - b. Let y = -1 + 3. Solve 0 = -y*f + 2*m + 8, -r*f - 3*m - 4 - 8 = 0 for f.
0
Let x be 2*-1 + 120/30. Suppose -x*f = -8*f. Solve -3*m + 2*a = -9, 0 = -f*m - m + 4*a + 13 for m.
1
Suppose -4*b - 6*o = -8*o + 34, -3*b + 2*o - 28 = 0. Let r be (-32)/b*(-48)/(-64). Solve 4*j + r*v + 12 = 0, -3*v = -j - 4 + 1 for j.
-3
Let i be 1*(2/(-3))/((-7)/42). Suppose 0 = -i*u + 2*x + 78 + 20, -5*u - 2*x + 145 = 0. Let g = -24 + u. Solve -4*f = k + 1 + g, 4*k - 4*f + 16 = 0 for k.
-4
Suppose -6*v - 14 = -5*a - 3*v, 2*v - 4 = 0. Suppose m + 3*s - 2*s = -1, s = 5*m - 19. Solve -15 = 2*r - m*d, a*r - 3*r = -5*d + 12 for r.
-3
Suppose 4*k = q - 25, 5*q - k - 39 = -9. Let n(a) = 78*a - 4444. Let f be n(57). Solve 0 = -3*c + f*u + 9, q*c - 15 = -0*c + u for c.
3
Suppose 34 - 10 = -3*m. Let j = m - -20. Solve -4*t - j = -0*t, 4*l - 7 = t for l.
1
Suppose 2*p + 6 = -s + 5*s, 4*s + 2*p = 26. Let q(d) = -d**2 + 10*d - 22. Let c be q(s). Solve 0 = u - v - c*v - 5, 5*u - 2*v + 14 = 0 for u.
-4
Suppose 270*y - 2 = 269*y + 2. Solve -y*f = -8*f, -4*r + 3*f + 0*f = 0 for r.
0
Let m be (-5 - 1)*(-3)/9. Suppose -2*j + 12 = -k, -m*k - 28 = -10*j + 5*j. Solve 5*u + 2 = d + 4*u, -u - 8 = -j*d for d.
2
Let g = 397 + -404. Let q(v) = v**2 - 3*v - 66. Let x be q(g). Solve 3*j = 3*p + p - x, -2*p + j = 0 for p.
-2
Let y(v) = 5*v + 118. Let t be y(-19). Let h(s) = 3*s**2 - 69*s + 4. Let m be h(t). Solve -5*k + 24 = -3*d, -m*k = | {
"pile_set_name": "DM Mathematics"
} |
*5 - 15*y**4 - 37*y**3 - 9*y**2 + 38*y + 24 = 0. Calculate y.
-12, -2, -1, 1
Solve 10*o**2 + 532*o + 624 = 0 for o.
-52, -6/5
Factor -w**2/11 + 1510*w/11 + 1511/11.
-(w - 1511)*(w + 1)/11
Determine y, given that 3*y**2 - 9*y + 6 = 0.
1, 2
Let -5*m**2 + 200*m + 420 = 0. Calculate m.
-2, 42
Solve -f**2/2 + 159*f - 25281/2 = 0 for f.
159
Factor -3*r**3 + 6*r**2 + 69*r - 180.
-3*(r - 4)*(r - 3)*(r + 5)
What is a in 3*a**2/4 - 19*a/4 - 7/2 = 0?
-2/3, 7
Factor -5*y**2 + 1915*y + 3850.
-5*(y - 385)*(y + 2)
Find r such that -r**2 - 284*r - 20164 = 0.
-142
Let -2*d**5/11 - 6*d**4 + 366*d**3/11 - 526*d**2/11 + 228*d/11 = 0. What is d?
-38, 0, 1, 3
Suppose 11*z**4/10 - z**3/5 = 0. What is z?
0, 2/11
Determine g so that 2*g**4/9 - 64*g**3/9 + 764*g**2/9 - 448*g + 882 = 0.
7, 9
What is s in -s**2 - 48*s - 572 = 0?
-26, -22
Factor -3*p**2/5 - 66*p.
-3*p*(p + 110)/5
Factor 2*j**3 - 562*j**2 + 40310*j - 115926.
2*(j - 139)**2*(j - 3)
Let -90*s**4 + 705*s**3 + 905*s**2 + 355*s + 45 = 0. What is s?
-1/2, -1/3, 9
Find f such that 5*f**4 - 70*f**3 - 115*f**2 + 540*f + 900 = 0.
-2, 3, 15
Let -2*w**4/3 + 10*w**3/3 + 2*w**2/3 - 10*w/3 = 0. What is w?
-1, 0, 1, 5
What is u in -25*u**5 - 940*u**4 - 2320*u**3 - 1570*u**2 + 185*u + 350 = 0?
-35, -1, 2/5
Let -2*m**5/5 - 16*m**4/15 + 2*m**3/3 + 12*m**2/5 - 8*m/15 - 16/15 = 0. What is m?
-2, -2/3, 1
Factor -2*l**2 - 26*l - 24.
-2*(l + 1)*(l + 12)
Solve -18*o**4/11 - 76*o**3/11 + 10*o**2/11 + 28*o + 240/11 = 0 for o.
-3, -20/9, -1, 2
Determine q so that q**2/6 + 534*q + 427734 = 0.
-1602
Let o**5/4 + 9*o**4/2 - 63*o**3/4 = 0. What is o?
-21, 0, 3
Factor 3*y**4/5 + 396*y**3/5 - 1206*y**2/5 + 1212*y/5 - 81.
3*(y - 1)**3*(y + 135)/5
Let -d**4/2 - 325*d**3/2 - 12956*d**2 + 40344*d = 0. Calculate d.
-164, 0, 3
Suppose -2*g**5 + 18*g**4 + 2*g**3 - 122*g**2 - 168*g - 64 = 0. What is g?
-1, 4, 8
Determine k, given that k**4/5 + 26*k**3/5 + 216*k**2/5 + 486*k/5 - 729/5 = 0.
-9, 1
Suppose 7*l**4/3 - 1366*l**3/3 + 188*l**2/3 + 1366*l/3 - 65 = 0. What is l?
-1, 1/7, 1, 195
Solve 28*u**4 + 260*u**3 + 744*u**2 + 640*u + 128 = 0.
-4, -1, -2/7
Suppose 2*q**5/3 - 26*q**4/3 + 82*q**3/3 - 94*q**2/3 + 12*q = 0. What is q?
0, 1, 2, 9
Factor -5*a**4 - 5955*a**3 - 2358150*a**2 - 308095780*a + 945671880.
-5*(a - 3)*(a + 398)**3
Let -2*s**2/15 - 38*s/15 - 12/5 = 0. Calculate s.
-18, -1
Determine x so that 2*x**2/9 - 2*x/9 - 4/9 = 0.
-1, 2
Factor -1720*v**3 + 1744*v**2 - 454*v + 6.
-2*(2*v - 1)**2*(215*v - 3)
Suppose 2*r**5 - 2*r**4 - 38*r**3 + 2*r**2 + 180*r + 144 = 0. Calculate r.
-3, -2, -1, 3, 4
Determine i so that -2*i**3/3 - 23*i**2/6 - 13*i/3 + 4/3 = 0.
-4, -2, 1/4
Factor -2*n**4 - 194*n**3 - 4400*n**2 + 15000*n.
-2*n*(n - 3)*(n + 50)**2
Factor 2*x**2 - 154*x/13 - 12/13.
2*(x - 6)*(13*x + 1)/13
Factor 4*n**4 - 7112*n**3 + 3161284*n**2.
4*n**2*(n - 889)**2
What is r in -12*r**3 + 16*r**2 + 52*r + 24 = 0?
-1, -2/3, 3
Factor 5*a**3/3 - a**2 - 5*a/3 + 1.
(a - 1)*(a + 1)*(5*a - 3)/3
Let -4*l**3 + 144*l**2 - 564*l - 1736 = 0. What is l?
-2, 7, 31
Determine k, given that k**2 - 291*k + 290 = 0.
1, 290
Suppose k**3 - 9*k**2 - 34*k - 24 = 0. Calculate k.
-2, -1, 12
Determine t, given that t**2/7 - 22*t/7 + 121/7 = 0.
11
Determine d, given that 5*d**3 - 55*d**2 - 430*d + 480 = 0.
-6, 1, 16
Factor 7*k**2 - 32*k - 15.
(k - 5)*(7*k + 3)
Factor n**2/3 - 61*n/3 + 20.
(n - 60)*(n - 1)/3
Find v such that 5*v**3/12 - 71*v**2/6 + 259*v/3 - 98/3 = 0.
2/5, 14
Factor -28*q**3 - 248*q**2 - 640*q - 384.
-4*(q + 4)**2*(7*q + 6)
Factor -3*u**5 + 15*u**4 - 27*u**3 + 21*u**2 - 6*u.
-3*u*(u - 2)*(u - 1)**3
Let 2*j**5/3 + 26*j**4/3 - 20*j**3/3 - 260*j**2/3 + 6*j + 78 = 0. What is j?
-13, -3, -1, 1, 3
Factor -22*o**3 + 432*o**2/5 - 408*o/5 - 32/5.
-2*(o - 2)**2*(55*o + 4)/5
Factor -3*s**4 + 114*s**3 - 216*s**2.
-3*s**2*(s - 36)*(s - 2)
Determine j, given that 2*j**4/11 + 10*j**3/11 + 16*j**2/11 + 8*j/11 = 0.
-2, -1, 0
Factor 4*y**2 + 7064*y + 3118756.
4*(y + 883)**2
Solve m**2/8 + 1427*m/8 + 713/4 = 0.
-1426, -1
Factor 2*z**2/5 - 2*z/5 - 12.
2*(z - 6)*(z + 5)/5
Factor -d**3/9 - d**2/9 + d/9 + 1/9.
-(d - 1)*(d + 1)**2/9
Let -4*u**3 + 16*u**2 - 12*u = 0. What is u?
0, 1, 3
Suppose 5*a**3/6 - 35*a**2/6 + 35*a/6 + 25/2 = 0. What is a?
-1, 3, 5
Factor 3*n**2/7 + 186*n/7 + 1431/7.
3*(n + 9)*(n + 53)/7
Factor 2*n**4/5 + 112*n**3/5 + 1676*n**2/5 + 3024*n/5 + 1458/5.
2*(n + 1)**2*(n + 27)**2/5
Factor -o**4 - 12*o**3 + 139*o**2 - 402*o + 360.
-(o - 3)**2*(o - 2)*(o + 20)
Determine b so that 2*b**5/9 - 34*b**4/9 - 38*b**3/3 - 118*b**2/9 - 40*b/9 = 0.
-1, 0, 20
Factor 5*y**5 - 115*y**4 + 480*y**3 - 520*y**2 - 400*y + 720.
5*(y - 18)*(y - 2)**3*(y + 1)
Factor -10*q**4 - 6*q**3 + 64*q**2 - 24*q.
-2*q*(q - 2)*(q + 3)*(5*q - 2)
Factor 3*h**2/2 + 1947*h + 1263603/2.
3*(h + 649)**2/2
Factor -2*d**2/13 + 32*d/13 - 30/13.
-2*(d - 15)*(d - 1)/13
Factor -3*d**4 + 96*d**3 - 1044*d**2 + 4320*d - 5184.
-3*(d - 12)**2*(d - 6)*(d - 2)
Let 4*o**5/5 + 104*o**4/5 + 768*o**3/5 + 1152*o**2/5 = 0. Calculate o.
-12, -2, 0
Solve 2*p**4/9 + 232*p**3/9 + 6490*p**2/9 - 13924*p/9 = 0 for p.
-59, 0, 2
Factor w**3/4 - 54*w**2 + 429*w/4 - 107/2.
(w - 214)*(w - 1)**2/4
Factor -3*s**2 + 33*s.
-3*s*(s - 11)
What is t in 242*t**4 + 396*t**3 - 168*t**2 + 16*t = 0?
-2, 0, 2/11
Let -8*l**4/3 + 14*l**3 + 478*l**2/3 + 106*l - 110/3 = 0. What is l?
-5, -1, 1/4, 11
Factor 5*j**2 + 45*j + 40.
5*(j + 1)*(j + 8)
Find x, given that x**2 - 17*x = 0.
0, 17
Factor -5*b**3 + 50*b**2 + 185*b + 130.
-5*(b - 13)*(b + 1)*(b + 2)
Find h, given that 2*h**3/9 + 986*h**2/3 + 121360*h - 1095200/9 = 0.
-740, 1
Determine w so that 28*w**5 + 132*w**4 + 184*w**3 + 48*w**2 - 32*w = 0.
-2, -1, 0, 2/7
Factor -x**5/5 + 12*x**4/5 - 22*x**3/5 - 84*x**2/5 - 49*x/5.
-x*(x - 7)**2*(x + 1)**2/5
Find m such that -2*m**2/3 + 106*m/3 - 104/3 = 0.
1, 52
What is z in -z**2/4 + 95*z/4 - 225/2 = 0?
5, 90
Factor -3*t**2 - 57*t - 210.
-3*(t + 5)*(t + 14)
Suppose -11*v**3/4 - 9*v**2/2 + 11*v/4 + 9/2 = 0. Calculate v.
-18/11, -1, 1
Factor -w**3/3 + 23*w**2/3 + w/3 - 23/3.
-(w - 23)*(w - 1)*(w + 1)/3
Factor -2*v**2/15 - 4*v/3 + 26/5.
-2*(v - 3)*(v + 13)/15
Find v, given that 14*v**4 + 38*v**3 - 12*v**2 - 56*v + 16 = 0.
-2, 2/7, 1
Factor 5*s**3 - 70*s**2 - 255*s.
5*s*(s - 17)*(s + 3)
Solve -2*a**3/3 + 14*a**2/3 - 14*a/3 - 10 = 0 for a.
-1, 3, 5
Factor -2*p**3/13 - 6*p**2/13 + 1008*p/13 - 7776/13.
-2*(p - 12)**2*(p + 27)/13
Factor p**5/8 - p**4/2 - p**3 + 5*p**2/4 + 23*p/8 + 5/4.
(p - 5)*(p - 2)*(p + 1)**3/8
Factor 15*l**3 - 50*l**2 - 235*l + 550.
5*(l - 5)*(l - 2)*(3*l + 11)
Find u, given that -4*u**2 + 10328*u - 6666724 = 0.
1291
Let -y**3/7 + 2*y**2/7 + 31*y/7 + 4 = 0. What is y?
-4, -1, 7
Solve v**5 - 10*v**3 + 20*v**2 - 15*v + 4 = 0 for v.
-4, 1
Let 2*b**4/7 - 36*b**2/7 - 64*b/7 - 30/7 = 0. Calculate b.
-3, -1, 5
Factor -3*c**5/5 + 48*c**4/5 - 291*c**3/5 + 834*c**2/5 - 228*c + 120.
-3*(c - 5)**2*(c - 2)**3/5
Factor -5*x**2/9 - 2*x/9.
-x*(5*x + 2)/9
Let -f**5/7 + f**4/7 + 9*f**3/7 - 5*f**2/7 - 16*f/7 + 12/7 = 0. What is f?
-2, 1, 3
Suppose 2*k**3/11 - 6*k**2/11 - 48*k/11 + 160/11 = 0. Calculate k.
-5, 4
Determine w, given that 2*w**5/3 - 26*w**4/3 + 6*w**3 + 266*w**2/3 + 220*w/3 = 0.
-2, -1, 0, 5, 11
Let 10*z**4 + 64*z**3 + 144*z**2 + 128*z + 32 = 0. What is z?
-2, -2/5
Solve -5*u**3 + 180*u**2 + 380*u = 0 for u.
-2, 0, 38
Suppose -12*c**5 + 435*c**4 + 1812*c**3 - 480*c**2 = 0. Calculate c.
-4, 0, 1/4, 40
Factor -v**2 + 109*v - 108.
-(v - 108)*(v - 1)
Suppose -5*q**2 - 50*q + 280 = 0. Calculate q.
-14, 4
Suppose -2*l**2/7 + 26188*l/7 - 85726418/7 = 0. Calculate l.
6547
Let -5*o**3/4 - 15*o**2/4 + 45*o/4 - 25/4 = 0. What is o?
-5, 1
Determine u so that 4*u**2 + 4*u - 1368 = 0.
-19, 18
Solve 7*i**4 + 79*i**3 - 6*i**2 - 316*i - 88 = 0 for i.
-11, -2, -2/7, 2
Solve 2*n**4 + 4*n**3 - 648*n**2 - 4*n + 646 = 0.
-19, -1, 1, 17
Factor -4*r**3/3 - 1908*r**2 - 681632*r + 2050624/3.
-4*(r - 1)*(r + 716)**2/3
Factor -8*p**3 - 2*p**2 + 288*p + 72.
-2*(p - 6)*(p + 6)*(4*p + 1)
Suppose -5*r**3 + 20*r**2 + 140*r + 160 = 0. What is r?
-2, 8
Find c such that -c**5/8 + 3*c**4/8 + c**3/8 - 7*c**2/8 + 1/2 = 0.
-1, 1, 2
Factor 5*a**4 - 40*a**3 - 145*a**2 + 900*a.
5*a*(a - 9)*(a - 4)*(a + 5)
Factor 4*g**4 - 5168*g**3 + 2503896*g**2 - 539172272*g + 43538160964.
4*(g - 323)**4
Suppose | {
"pile_set_name": "DM Mathematics"
} |
(b) -2 (c) -2/3 (d) -2/7 (e) 3
c
What is the second biggest value in -0.06, 6, -48, 3/5, 5.9?
5.9
Which is the second smallest value? (a) -1.7 (b) -0.09 (c) 781/9
b
Which is the fourth biggest value? (a) -0.042 (b) -92 (c) -3/4 (d) 0.11
b
Which is the biggest value? (a) -0.3 (b) 277/3 (c) 2
b
Which is the second smallest value? (a) -515/6 (b) 0.1 (c) 1.7
b
What is the third biggest value in 5, 344, 10/3, 3/4, -2, -0.5?
10/3
What is the biggest value in -1560, 2/17, 3?
3
What is the fourth biggest value in -5, 2/31, 1/5, -2/5, -0.03, 1/11?
-0.03
Which is the third biggest value? (a) -330 (b) -0.5 (c) 5 (d) -3 (e) -7/6
e
What is the fifth smallest value in 2/3, -2/9, 1/6, 5, -3/580, 52?
5
What is the sixth biggest value in -5.5, 8, 5, -2, -0.1, -4?
-5.5
Which is the fourth biggest value? (a) 0.1 (b) 4 (c) 1/7 (d) 4620
a
What is the biggest value in -5, 8, 2/5, -1.63?
8
What is the biggest value in 2, -7, 145, -2?
145
Which is the second biggest value? (a) -157 (b) 1349 (c) -4 (d) 2/9
d
What is the fifth smallest value in -29, 5, -12, 1, -1, -5?
1
What is the third biggest value in -10, 4997, 0.9?
-10
Which is the second smallest value? (a) 3 (b) -8.2 (c) 0.5 (d) 71
c
What is the third biggest value in -4.1, 5, 373?
-4.1
Which is the fourth biggest value? (a) -2/9 (b) -0.1 (c) 1/64 (d) 2052
a
What is the second biggest value in 0.11, -7702, 5?
0.11
What is the second biggest value in -4, 0.3, -0.039, 6/37?
6/37
What is the second biggest value in -1/6, 4, -2/39, -25.62?
-2/39
What is the third smallest value in -3, -10, 109?
109
What is the fifth biggest value in 2, -2/11, -15, 0.01, -0.6, -5/6?
-5/6
What is the third smallest value in -5, 0.7, -4, 1786?
0.7
What is the biggest value in 4, -158529, 0.1?
4
What is the third biggest value in 0, 2.3, -2/5, -88, 6?
0
What is the biggest value in -5, -0.210908, 2/3?
2/3
Which is the third smallest value? (a) -0.4 (b) 3/10 (c) 2/3 (d) -6 (e) -16 (f) -5
f
Which is the second smallest value? (a) -2/125 (b) -4 (c) 68 (d) 1/2
a
What is the third smallest value in -3, -1/3, 6/7, 11/2, 17?
6/7
Which is the fourth smallest value? (a) -5 (b) -50 (c) -5/3 (d) -0.1 (e) -1/2 (f) -0.2
e
Which is the third smallest value? (a) 3.13 (b) 41.3 (c) -0.4
b
Which is the second biggest value? (a) -570 (b) 4 (c) -58
c
What is the fourth smallest value in -0.3, 2/405, -0.02, 2/7, 1/2, 3/5?
2/7
What is the third biggest value in -182, -4, -0.4, 18.77?
-4
Which is the smallest value? (a) 5 (b) -17207/11 (c) 0.3
b
What is the second biggest value in 3, 15/2, 582?
15/2
What is the second biggest value in 3/269, 4/3, -0.14?
3/269
What is the second smallest value in -1/50, 12, -0.2, 0?
-1/50
What is the sixth smallest value in -3/10, -4/7, 2/319, -3/2, -5/2, 4/3?
4/3
What is the second smallest value in 0.0362, -4, -1?
-1
What is the second biggest value in 5.66, 7, -5?
5.66
What is the third smallest value in 0.5, -1/5, -0.4, -5, 43?
-1/5
Which is the second smallest value? (a) 671 (b) 3 (c) -0.1 (d) -1
c
Which is the second biggest value? (a) 1 (b) -1 (c) 2217/2
a
Which is the biggest value? (a) 5/2 (b) -4 (c) -12.441 (d) 1
a
What is the third smallest value in 3/2, 1/8, 4.2?
4.2
What is the biggest value in 116, 1/3, 0.086?
116
What is the fourth biggest value in 0.3, 1, -5.26, -3/7, -4?
-4
What is the fifth smallest value in 2/7, 0.5, 0.049, 126, 1?
126
Which is the third smallest value? (a) -2/5 (b) -4289 (c) -6
a
What is the fourth smallest value in 1.71, 48, 5, 6?
48
Which is the fifth biggest value? (a) -0.4 (b) 3 (c) 13 (d) -7/6 (e) 0.09
d
Which is the fifth biggest value? (a) -1 (b) 4 (c) -2 (d) -12/37 (e) 1/5 (f) -5
c
Which is the third smallest value? (a) -1/11 (b) 134 (c) -2/17 (d) 2/13
d
What is the fourth biggest value in -5, -40, 0.3, -67, 1?
-40
What is the fifth smallest value in -11, 1, -2/3, -51, -5?
1
Which is the second biggest value? (a) 2 (b) 0.1 (c) 67.51
a
Which is the third biggest value? (a) 3.6 (b) -5 (c) 31
b
Which is the fifth biggest value? (a) -3 (b) -0.06 (c) 0.026 (d) 0.2 (e) 30
a
What is the third smallest value in 2/21, 0.5, 5, -7, 3?
0.5
Which is the smallest value? (a) -52 (b) -0.1 (c) 0.3 (d) 2/9 (e) -10
a
Which is the biggest value? (a) 118 (b) -0.16 (c) 5 (d) 2/7
a
What is the third biggest value in -555, -3/2, 2, 0.2?
-3/2
Which is the smallest value? (a) -0.049 (b) 3 (c) -4.9
c
Which is the second biggest value? (a) -9 (b) -0.0555 (c) -0.9
c
Which is the fifth biggest value? (a) -35 (b) -0.7 (c) -2 (d) 0.2 (e) -1 (f) -2/17
c
Which is the third biggest value? (a) 1.5 (b) 0.2 (c) 2 (d) -2 (e) -1.1 (f) -0.1
b
Which is the biggest value? (a) -1.2 (b) 390/41 (c) 3
b
Which is the third smallest value? (a) 336/19 (b) 0.4 (c) 4.9
a
What is the third smallest value in -1, -0.14, 15/13?
15/13
Which is the smallest value? (a) 1 (b) 1.2 (c) -4 (d) -2/2025
c
Which is the biggest value? (a) -0.3 (b) -3 (c) 21 (d) 1/13
c
What is the third biggest value in 2/7, 104, 4, -2, -4/47?
2/7
What is the second biggest value in -0.1, 3, -1, -176, -3?
-0.1
Which is the smallest value? (a) 39 (b) -1/8 (c) 8/9 (d) 5/4
b
What is the third smallest value in -25, 9, 19?
19
What is the fifth smallest value in 3, -6, 0.4, -21, 3/2?
3
Which is the second biggest value? (a) 98 (b) 10.83 (c) 0.2
b
What is the fourth smallest value in 79, 0.4, -2/3, -2/7, 4.62, 1/2?
1/2
What is the fifth biggest value in 0.013, 0, 3, 0.107, -5?
-5
Which is the second biggest value? (a) -240235 (b) -2/15 (c) 2
b
What is the smallest value in -1/3742, -0.4, -5?
-5
Which is the fourth smallest value? (a) 0.2 (b) -0.3 (c) 15 (d) -0.06 (e) -2/9 (f) 29.4
a
What is the third biggest value in -3, 0.6, 6, -9/43, -3/10?
-9/43
Which is the second smallest value? (a) 0.6 (b) 0.03072 (c) -3/8 (d) 0.1 (e) 22
b
Which is the third smallest value? (a) 4 (b) -5/3 (c) 5231 (d) -4
a
What is the third biggest value in -787, -5, 18/5?
-787
Which is the fourth smallest value? (a) -0.4 (b) 3/8 (c) -1/4 (d) -22 (e) 2/17 (f) -3.29
c
Which is the third biggest value? (a) 3 (b) -0.5882 (c) -1
c
What is the smallest value in 4, -2/5, -24, -2/9, -0.3, -792?
-792
Which is the fifth biggest value? (a) -13/4 (b) 3/5 (c) 5 (d) 59 (e) 73
a
What is the smallest value in -1/2, 7, -49, 5, -5, 0.2?
-49
What is the second biggest value in -12/193, 0.022, 3?
0.022
What is the fourth smallest value in 14965, 0.13, -0.2, 2?
14965
Which is the third smallest value? (a) -6 (b) 4/3 (c) -0.47 (d) -12/11
c
What is the third biggest value in 0.3, 0, 5/9, 1/7, -8/9, -0.7?
1/7
Which is the smallest value? (a) 0.114 (b) 3 (c) 121 (d) -2 (e) 0
d
Which is the biggest value? (a) 4 (b) 1 (c) 1/5 (d) -1/4 (e) -1/3 (f) -3.51
a
Which is the fifth smallest value? (a) 906 (b) -5 (c) -1 (d) -3.22 (e) 3/5
a
What is the second biggest value in -5, -3, 0, -362, -9?
-3
What is the third smallest value in 1.48, 4, -1/5, 183?
4
What is the fourth smallest value in 1/3, 5, -3, 4/33, -2/5?
1/3
What is the third smallest value in 8, -0.02, 5459?
5459
Which is the third biggest value? (a) -0.3 (b) 3601 (c) 2 (d) -18.7
a
Which is the third biggest value? (a) 2/11 (b) 6 (c) -6425 (d) -4 (e) -0.4
e
Which is the biggest value? (a) 0.5 (b) 16.23 (c) -2/7 (d) 7/4
b
Which is the fourth biggest value? (a) -8/41 (b) 2/19 (c) 2 (d) -0.1 (e) 1/4
d
Which is the second smallest value? (a) -40 (b) 7 (c) 12
b
Which is the third smallest value? (a) -7 (b) 114 (c) -3
b
Which is the third smallest value? (a) -1 (b) 15 (c) -1/17 (d) 0.7 (e) -140
c
Which is the third smallest value? (a) 1/7 (b) 6 (c) -0.1 (d) -2/5 (e) -0.23 (f) 0.4
c
Which is the fifth biggest value? (a) 2 (b) -11 (c) -2/5 (d) 6 (e) -5 (f) 1896
e
Which is the second smallest value? (a) 11 (b) 2/7 (c) -2 (d) -3/4 (e) -0.1
d
What is the fifth biggest value in 1, -2, 0.1, -5, -31.71, -1/9?
-5
What is the third smallest value in 0.05, -14/15, -37?
0.05
What is the biggest value in -4, 1/10, 2/231, -0.2?
1/10
What is the third biggest value in 5, -2/21, -228, 3, 4?
3
Which is the biggest value? (a) -1/3 (b) -5 (c) -0 | {
"pile_set_name": "DM Mathematics"
} |
- 7. Let j = -0.2 - -0.3. Let o be ((-4)/14)/((-4 - 1)/35). What is the nearest to k in j, o, 0.5?
j
Let n = -179 - -305. Let m = n + -85. Let b = -42 + m. What is the closest to b in -2, 2/15, -1?
-1
Let h = -3.227 + -1.773. What is the nearest to 3 in h, 1/2, 2/13?
1/2
Let t = -86609/9 + 9623. What is the closest to 2/7 in t, 23, -3, 4?
t
Let r = 20124 + -20123.9. Let o = -4 - -2. Let d = o - -1.5. What is the nearest to r in 5, d, 4?
d
Let y = -0.9 - 0.1. Let n = 402.1 - 402. Let o = 17 + -15. What is the closest to n in y, 2/7, o?
2/7
Let b = 30.3 + -18.1. Let z = -7.2 + b. Suppose 4*i = -0*i. What is the nearest to -0.04 in i, z, 1?
i
Let x = 3473 - 3473. Let n be (2/3)/((-10)/(-255)). Which is the closest to x? (a) -0.1 (b) n (c) 0.3
a
Let b(u) = -u**3 - 3*u**2 - 13*u - 42. Let q(c) = c**2 - 17*c + 57. Let a be q(12). Let i be b(a). What is the nearest to -3 in 0, -5, i?
i
Let v(s) = -350*s - 5600. Let t be v(-16). What is the closest to 280 in -4, 5/4, -1/5, t?
5/4
Let h = 22.1 + -22. Let k = 51 - 306. Let v = k - -249. Which is the closest to -1? (a) 0.2 (b) v (c) h
c
Suppose -1 = 2*j + 5. Let p(d) = d**2 + 8*d + 4. Let y be p(-12). Let g = y - 882/17. Which is the nearest to j? (a) 0 (b) -2/21 (c) g
b
Let o = 21.37 + -21.27. What is the closest to o in -0.4, 4/5, 60, 0?
0
Let v(r) = r**2 + 455*r + 2247. Let h be v(-5). What is the closest to 0 in -0.5, h, -73/2?
-0.5
Let j = 3.975 - 4.075. Which is the closest to j? (a) -3/4 (b) 27/13 (c) 5/3 (d) -15
a
Let j = -1.29 + -0.21. Let d = j - -1.8. Let z be (-8 + 70/7)/(-1)*-2. Which is the nearest to z? (a) -0.4 (b) d (c) 2
c
Let j be (212/(-1060))/((-3)/(-5)). Which is the closest to j? (a) -6 (b) -2/9 (c) -11/26
c
Let o = -3532 + 3527. What is the nearest to 0 in 7/34, -1, o?
7/34
Let w = 57.31 + -57. Let v = 0.19 + w. Let u(p) = -9*p + 48. Let o be u(5). Which is the closest to -1? (a) -4 (b) o (c) v
c
Let f = -1.57 + 231.57. Let c = f + -230.3. What is the closest to -2 in c, 0, 2/7?
c
Let z = 19 + -16. Let r be 2 - (476/144 - 1). Let o = r - -5/9. Which is the nearest to 0? (a) o (b) 2 (c) z
a
Suppose -25 = -2*f + 5*q, 4*f - 3*f = -4*q - 20. Let x be (-72)/648 + (-763)/99 - -8. What is the nearest to f in x, 2/5, 0.2?
x
Let i be 6/(-4) + 125/70. Let l = -404 + 246. Let d = 786/5 + l. What is the nearest to i in 4, d, 1/3?
1/3
Let y = -0.2 - -0.3. Let a = -26 + 37. Let j = 1609795 + -1609796. What is the closest to a in -4, y, j?
y
Let f = 161 - 156.894. Let w = f + -0.106. Which is the closest to w? (a) 0.4 (b) 5 (c) 1
b
Let l = -638223/175 + 3647. Let w = l - -103/175. Which is the nearest to -1? (a) -0.1 (b) -5 (c) w
a
Let j = -7790.03 + 7790. Let n = -0.05 - 1.95. Which is the closest to -1? (a) j (b) -5 (c) n
a
Let j be (-6 - -4)/(2/302). Let r = j + 298. What is the closest to -0.2 in -0.4, -3, r?
-0.4
Let t = 13 + -29/2. Let v = -23 - 57. Let f = v - -80.3. Which is the closest to -1/2? (a) -1/10 (b) f (c) t
a
Let j = -91687 - -91685. Let u be 6/(-56) - 2/(-8). Which is the nearest to -2/3? (a) u (b) -0.4 (c) j
b
Let j = -22489/4 + 5623. What is the nearest to -1 in -0.033, 8, j?
-0.033
Suppose -10*t - 96 = -336. Let m be -3 + 100/t - 7/(-21). Which is the nearest to m? (a) 2 (b) 0 (c) -0.1
a
Let y = -359 + 532. Let x = -175 + y. Which is the closest to 0? (a) x (b) 2/3 (c) 0
c
Let l(j) = -47*j + 141. Let k be l(3). Which is the nearest to k? (a) 0 (b) 0.017 (c) -1 (d) -1/6
a
Suppose 3*l - 4 = -4*o, o - 16 = -o + 2*l. Let p = 1.54 + 0.48. Let v = p - 1.92. What is the nearest to v in -6/11, o, 0.4?
0.4
Let o = 1687 - 1691.322. Let g = o + -0.678. Suppose -9 = 3*j, 2*b - b - 3*j - 11 = 0. What is the nearest to 0.1 in b, g, -2?
b
Let w(r) = -4 + 3 + r + 3*r**2 - r. Let z be w(-1). Let k = 49441 + -49443. Which is the closest to k? (a) 8/3 (b) z (c) 2/9
c
Let q = -37 + 92. Suppose 53*u = q*u + 12. Let h(v) = -2*v - 16. Let s be h(u). What is the closest to 1.2 in 0.5, s, -5?
0.5
Let b = -119 - -64. Let f = -59.003 - -0.003. Let h = b - f. What is the nearest to -2/7 in 2, -3/2, h?
-3/2
Let l = -0.042 - -0.042. Let o = 1.688 + 0.312. Which is the closest to l? (a) o (b) 0 (c) 4/7
b
Let k = 195 + -393/2. Let n = -0.09 + 0.39. What is the closest to k in 2, n, 1/2?
n
Let j = 22 - 13. Let y = -2097 - -2100. What is the closest to j in -2/3, -2/9, y?
y
Let s = 0.3 - -3.7. Let c = -1 - s. Let g = 7074 - 7075. What is the closest to g in c, 3/4, 0?
0
Let q = 27.59 - 26.59. What is the closest to 0.08 in q, -0.3, -12?
-0.3
Let g = 2.95 - -0.05. Let y = -40 - -39.6. Which is the nearest to -6? (a) y (b) g (c) 5
a
Let u be ((-2)/4)/(((-49)/(-7))/14). Let j = -10.81 + 10.8. Which is the nearest to j? (a) u (b) -1/5 (c) -4/9 (d) 1
b
Let s = 17 + -23. Let z be 18/99 - (-48)/(-22). Let v be s/(-48)*z + (-1)/(-12). Which is the nearest to 3? (a) -3/5 (b) 2/3 (c) v
b
Let p = -0.02 + 0.22. Let m(b) = -b**3 + 4*b**2 + 2*b + 2. Let g be m(4). Suppose 5*v - 3*x - 9 = -3, v - 5*x - g = 0. What is the nearest to v in p, -5, -9?
p
Let o be 6/(-7) + 1936/1540. Which is the closest to -0.04? (a) o (b) 2 (c) -0.4
c
Let p = -78953 + 1342203/17. Let o be 3*(-6)/27*-1. What is the nearest to p in 0.4, -0.07, o?
-0.07
Let y = -46360 + 46355. Let w = 8 + -12. Which is the nearest to 25? (a) y (b) 4/5 (c) w
b
Let i be -16 + 7362/432 - 9/24. What is the closest to i in -6/7, -3, 3, -2/9?
-2/9
Let g = 66 + -860/13. Let x(m) = m**3 + 8*m**2 + 15*m - 3. Let l be x(-3). What is the nearest to g in 23, l, -1?
-1
Let r = -1194.1 - -1195.1. What is the closest to 0.1 in 1.4, r, -28?
r
Let l = -0.3 - 0.2. Let j = -30.08 + 34.08. Let r = -4/13 - -21/26. Which is the nearest to r? (a) -1/7 (b) j (c) l
a
Let z = -31 + 28.7. Let c = z + 2.36. Let w = c + 1.94. What is the closest to -1/4 in -1/2, w, 0.5?
-1/2
Let x = -6 + 11. Let g = 72.57 - 73. Let z = 0.73 + g. Which is the closest to 0.2? (a) -1 (b) z (c) x
b
Let s = -0.17 + 59.17. Let t = 70 - s. Which is the closest to 2/5? (a) 0.5 (b) t (c) 0.2
a
Let k = 28078 - 27924. What is the closest to -1 in 0.17, 2, k?
0.17
Let m(h) = -142*h - 991. Let y be m(-7). Let g = 15 - 9. What is the nearest to g in -4, y, 0.05?
y
Let z = 1566 - 1565.7. Which is the nearest to -26/3? (a) -2 (b) 0.2 (c) -5 (d) z
c
Let j = 272.917 + -273. Let o = -918.517 - -919. Let r = o + j. Which is the nearest to 1? (a) r (b) -3/7 (c) -3
a
Suppose 46*f + 640 = 15*f - 49*f. Which is the closest to f? (a) 0.2 (b) 0.22 (c) -4
c
Let c = -9273.9 + 9274. What is the closest to c in -2/3, 3, 74, 0.4?
0.4
Let s = -22984 - -22983.89. What is the closest to 2/7 in 50, 4, -1/5, s?
s
Let x = -6.03 + 6. Let v = 0.23 + x. Let j = 43.06 - 43.05. Which is the nearest to 0.1? (a) v (b) j (c) 5
b
Let s = 892 + -893. Let p be (-4)/(-7) + (-1 - 0). Let w = -225 - -227. What is the nearest to s in 2.7, w, p?
p
Let g = 36492 + -36493. What is the closest to g in 5/9, 2/17, -4?
2/17
Let m be 28/462 + (-22270)/(-2805). Let g = 0.3 + -0.7. Let d be (-1 - (-9)/12)*2. What is the nearest to 1 in d, g, m?
g
Let l = -167/2 + 1833/22. Let i = 174708.5 - 174709. Let d = 5 - 0. Which is the closest to -1/4? (a) i (b) d (c) l
c
Let g = -16754.2 - -16754. What is the closest to g in -2/3, -2/219, -15?
-2/219
Let f be (-1 + (-30)/(-35))/(2/(-6)). Let z = -56 - -70. Let o = z + -14.1. Which is the closest to f? (a) -3 (b) -4 (c) o
c
Let w = 4685 + -4678. What is the nearest to -0.14 in 2/15, w, 3?
2/15
Let h be (3/36)/((-10 - -14)*(-3)/(-72)). What is the closest to -1 in -2, -0.247, h, -1/3?
-1/3
Let k = 48 + -43. Let j = -1.278 - -1.24. Let d = j + 0.038. Which is the nearest to d? (a) 2/7 (b) 4 (c) k
a
Let f = 1.43 - -437.57. Let l = 427 - f. Which is the nearest to 0? (a) -5 (b) l (c) -2
c
Suppose -37 + 13 = -2*o. Suppose -9*w = -13*w + o. Let p be (-3*w/27)/((-2)/10). What is the closest to p in 1/6, 0.4, -4/3?
0.4
Let m = 123 - 42. Let f = -82 + m. Which is the nearest to 12/5? (a) 2 (b) f (c) 1/2
a
Suppose -5*j + 1 + 9 = 5*v, 4*j = -3*v + 11. Suppose -2 + 10 = -4*c + 2*p, 1 = j*c + 3*p. Let s be (2 + (5 - 4))/c. What is the closest to 2/7 in -2/11, s, -2?
-2/11
Let v = -0.72 + 0.62. Let j be (14/21)/(10/(-6) + -3). Wh | {
"pile_set_name": "DM Mathematics"
} |
etermine g, given that 8*g**5 + 24*g**4 - 126*g**3 + 104*g**2 - 24*g = 0.
-6, 0, 1/2, 2
Solve c**5/4 + 6*c**4 + 65*c**3/4 + 21*c**2/2 = 0.
-21, -2, -1, 0
Determine z so that -z**4/2 - 5*z**3 + 39*z**2/2 - 2*z - 26 = 0.
-13, -1, 2
Find z, given that 10*z**5/7 + 76*z**4/7 + 18*z**3/7 - 160*z**2/7 + 8*z = 0.
-7, -2, 0, 2/5, 1
Solve -x**4 + 33*x**3/2 - 63*x**2/2 - 320*x - 150 = 0 for x.
-3, -1/2, 10
Determine b so that 2*b**4 - 20*b**3 + 56*b**2 - 48*b = 0.
0, 2, 6
Solve 2*q**3/15 + 1196*q**2/15 - 482*q + 3624/5 = 0 for q.
-604, 3
Factor -3*d**3 - 105*d**2 - 264*d + 13068.
-3*(d - 9)*(d + 22)**2
Find v, given that 3*v**5 - 12*v**4 + 15*v**3 - 6*v**2 = 0.
0, 1, 2
Suppose 5*a**4 + 20*a**3 - 90*a**2 + 100*a - 35 = 0. Calculate a.
-7, 1
Let -2*w**3/9 + 22*w**2/9 - 76*w/9 + 80/9 = 0. What is w?
2, 4, 5
Solve 3*o**2 + 129*o + 468 = 0.
-39, -4
Factor -3*b**2 - 4221*b + 8454.
-3*(b - 2)*(b + 1409)
Solve -f**2 - 58*f - 841 = 0 for f.
-29
Suppose 2*p**5/19 - 210*p**4/19 + 7350*p**3/19 - 85750*p**2/19 = 0. What is p?
0, 35
Determine f so that -3*f**2 + 36*f = 0.
0, 12
Factor -12*q**2 - 3*q/4.
-3*q*(16*q + 1)/4
Factor 2*d**4/13 + 58*d**3/13 + 594*d**2/13 + 2430*d/13 + 2916/13.
2*(d + 2)*(d + 9)**3/13
Find i such that 4*i**4 + 4644*i**3 - 4648*i**2 = 0.
-1162, 0, 1
Factor -2*j**4/9 + 14*j**3/9.
-2*j**3*(j - 7)/9
Factor 4*x**2 + 76*x - 264.
4*(x - 3)*(x + 22)
Let -9*m**4/5 - 12*m**3/5 + 12*m**2/5 = 0. What is m?
-2, 0, 2/3
Let 3*n**5/5 - 3*n**4/5 - 537*n**3/5 + 3939*n**2/5 - 8106*n/5 + 4704/5 = 0. What is n?
-16, 1, 2, 7
Find b such that -5*b**3/4 - 145*b**2/4 + 615*b/2 - 270 = 0.
-36, 1, 6
Factor -2*m**3/9 - 1874*m**2/9 - 1868*m/9 + 416.
-2*(m - 1)*(m + 2)*(m + 936)/9
Find f such that -4*f**5 - 32*f**4 - 24*f**3 + 32*f**2 + 28*f = 0.
-7, -1, 0, 1
What is k in -2*k**2 - 698*k = 0?
-349, 0
Suppose 4*t**2 + 68*t + 120 = 0. What is t?
-15, -2
Find g such that 3*g**2 - 15*g - 42 = 0.
-2, 7
Let -y**4 - 59*y**3 - 490*y**2 = 0. What is y?
-49, -10, 0
Let -x**2/4 + 17*x/2 - 289/4 = 0. What is x?
17
Factor -3*l**4 + 21*l**3 - 36*l**2.
-3*l**2*(l - 4)*(l - 3)
Factor 2*n**4/7 + 2*n**3/7 - 10*n**2/7 + 6*n/7.
2*n*(n - 1)**2*(n + 3)/7
Factor -4*g**3/5 - 8*g**2/5 + 692*g/5 - 264.
-4*(g - 11)*(g - 2)*(g + 15)/5
Suppose -3*g**3/4 + 69*g**2/4 - 513*g/4 + 1215/4 = 0. Calculate g.
5, 9
Factor 5*h**4 + 50*h**3 - 115*h**2 + 60*h.
5*h*(h - 1)**2*(h + 12)
Determine a so that -a**2 - 1611*a - 1610 = 0.
-1610, -1
What is i in 2*i**3 + 31*i**2/2 + 28*i - 8 = 0?
-4, 1/4
Factor 2*w**2/17 + 16*w/17 - 18/17.
2*(w - 1)*(w + 9)/17
Factor -2*v**3/7 + 12*v**2/7 + 8*v/7 - 48/7.
-2*(v - 6)*(v - 2)*(v + 2)/7
Solve -20*l**5 + 175*l**4 - 435*l**3 + 200*l**2 + 80*l = 0.
-1/4, 0, 1, 4
Solve 56*q**5 + 68196*q**4 - 14652*q**3 - 43856*q**2 - 9744*q = 0.
-1218, -1/2, -2/7, 0, 1
Factor -2*q**3 + 460*q**2 - 1366*q + 908.
-2*(q - 227)*(q - 2)*(q - 1)
Let -3*m**2 + 177*m + 756 = 0. What is m?
-4, 63
Factor 3*f**4/2 - 15*f**3/4 + 3*f**2 - 3*f/4.
3*f*(f - 1)**2*(2*f - 1)/4
Suppose -3*f**3 - 78*f**2 + 255*f - 174 = 0. What is f?
-29, 1, 2
Let q**3 + 3*q**2 - 18*q = 0. What is q?
-6, 0, 3
Factor -2*k**3 + 64*k**2 + 66*k.
-2*k*(k - 33)*(k + 1)
Factor -2*b**4/3 - 38*b**3/3 - 32*b**2.
-2*b**2*(b + 3)*(b + 16)/3
Factor -2*k**2/11 - 162*k/11 - 160/11.
-2*(k + 1)*(k + 80)/11
Factor 4*b**3/5 + 26*b**2/5 + 44*b/5 + 16/5.
2*(b + 2)*(b + 4)*(2*b + 1)/5
What is c in 2*c**2/15 + 10*c/3 - 20 = 0?
-30, 5
Solve -3*v**2/2 + 1341*v/2 - 669 = 0 for v.
1, 446
Factor 2*w**5/13 + 6*w**4/13 - 8*w**3/13.
2*w**3*(w - 1)*(w + 4)/13
What is l in -15*l**3 - 20*l**2 + 20*l = 0?
-2, 0, 2/3
Solve -2*k**4/7 + 4710*k**3/7 - 2775362*k**2/7 + 2761242*k/7 + 5541316/7 = 0 for k.
-1, 2, 1177
Factor 2*f**3/5 + 22*f**2/5 + 56*f/5.
2*f*(f + 4)*(f + 7)/5
Let t**4/2 - 11*t**3/2 - 2*t**2 + 22*t = 0. Calculate t.
-2, 0, 2, 11
Let -2*g**4 - 42*g**3 - 78*g**2 - 38*g = 0. Calculate g.
-19, -1, 0
Find t such that 5*t**2 + 230*t + 2520 = 0.
-28, -18
Factor 3*m**3 + 816*m**2 + 56295*m + 109350.
3*(m + 2)*(m + 135)**2
What is k in 2*k**2 - 16*k + 24 = 0?
2, 6
Suppose 140*g**5 - 289*g**4 - 409*g**3 + 638*g**2 + 404*g + 56 = 0. Calculate g.
-7/5, -2/7, -1/4, 2
Find k such that k**5/6 + 5*k**4/6 - 19*k**3/3 - 131*k**2/3 - 395*k/6 - 175/6 = 0.
-5, -1, 7
Solve 5*r**3 - 670*r**2 + 1325*r - 660 = 0.
1, 132
Factor 2*d**2 + 44*d + 80.
2*(d + 2)*(d + 20)
Suppose k**2/3 - 79*k/3 - 582 = 0. What is k?
-18, 97
Suppose 4*k**3 + 28*k**2 - 160*k - 400 = 0. Calculate k.
-10, -2, 5
Factor -3*u**3 - 33*u**2 + 36*u.
-3*u*(u - 1)*(u + 12)
Solve -4*j**5 + 80*j**4 + 176*j**3 + 8*j**2 - 172*j - 88 = 0.
-1, 1, 22
Let -k**3/3 - 10*k**2/3 - 7*k = 0. What is k?
-7, -3, 0
Factor 2*n**3 - 48*n**2 - 18*n + 432.
2*(n - 24)*(n - 3)*(n + 3)
Determine p so that 5*p**5 + 100*p**4 + 465*p**3 + 650*p**2 + 280*p = 0.
-14, -4, -1, 0
Suppose -28*i**4 - 176*i**3 - 20*i**2 + 176*i + 48 = 0. Calculate i.
-6, -1, -2/7, 1
Let -54*h**2/5 + 14*h/5 + 8 = 0. Calculate h.
-20/27, 1
Factor f**4 + 18*f**3 + 113*f**2 + 276*f + 180.
(f + 1)*(f + 5)*(f + 6)**2
Let g**2/4 + 405*g + 164025 = 0. Calculate g.
-810
Factor 3*w**4/7 + 192*w**3/7 + 375*w**2/7 + 186*w/7.
3*w*(w + 1)**2*(w + 62)/7
Factor -a**3 + 44*a**2 - 304*a + 576.
-(a - 36)*(a - 4)**2
Solve t**4/4 + t**3 - 7*t**2/4 - 11*t/2 + 6 = 0 for t.
-4, -3, 1, 2
Factor 2*r**2/7 - 228*r/7 - 230/7.
2*(r - 115)*(r + 1)/7
Suppose 3*l**4/4 + 9*l**3/2 + 9*l**2/4 - 15*l/2 = 0. What is l?
-5, -2, 0, 1
Factor -20*m**3/3 + 148*m**2/3 - 296*m/3 + 32.
-4*(m - 4)*(m - 3)*(5*m - 2)/3
Solve 3*o**3 + 15*o**2 + 12*o = 0.
-4, -1, 0
Factor -4*m**2/7 - 20*m/7 - 16/7.
-4*(m + 1)*(m + 4)/7
Factor -2*n**2 + 8908*n/7 - 2544/7.
-2*(n - 636)*(7*n - 2)/7
Let 4*q**2 + 1156*q + 2296 = 0. What is q?
-287, -2
Suppose -2*c**5/9 + 2*c**4/9 + 4*c**3/3 = 0. What is c?
-2, 0, 3
Let -2*k**2/11 + 72*k/11 - 18 = 0. Calculate k.
3, 33
Suppose f**5/3 - 85*f**4/3 + 2155*f**3/3 - 5025*f**2 + 13680*f - 12996 = 0. Calculate f.
3, 38
Factor -3*u**3 + 66*u**2 + 219*u + 150.
-3*(u - 25)*(u + 1)*(u + 2)
Let 30*i**5/7 - 192*i**4/7 + 402*i**3/7 - 312*i**2/7 + 72*i/7 = 0. Calculate i.
0, 2/5, 1, 2, 3
Let 3*c**3/8 + 261*c**2/8 - 33*c = 0. What is c?
-88, 0, 1
Find b, given that 3*b**4/5 + 51*b**3/5 - 153*b**2 - 1671*b/5 - 858/5 = 0.
-26, -1, 11
Determine t so that 3*t**3/2 - 9*t**2 + 33*t/2 - 9 = 0.
1, 2, 3
Factor 2*l**4 - 4*l**3 - 10*l**2 + 12*l.
2*l*(l - 3)*(l - 1)*(l + 2)
Suppose 2*r**4/5 + 6*r**3 + 26*r**2/5 - 6*r - 28/5 = 0. What is r?
-14, -1, 1
Factor 3*y**4 + 207*y**3 + 3978*y**2 - 2028*y - 474552.
3*(y - 9)*(y + 26)**3
Factor 3*t**3/5 - 78*t**2/5 + 363*t/5 + 1872/5.
3*(t - 16)*(t - 13)*(t + 3)/5
Factor g**3/5 + 7*g**2/5 + 2*g/5 - 8.
(g - 2)*(g + 4)*(g + 5)/5
Suppose 16*j**4/9 - 220*j**3/9 + 728*j**2/9 + 196*j/9 = 0. Calculate j.
-1/4, 0, 7
Suppose z**5/5 - 59*z**4/5 + 58*z**3/5 = 0. What is z?
0, 1, 58
What is g in 4*g**3/5 + 388*g**2/5 + 1920*g + 9216/5 = 0?
-48, -1
Let -12*r**5 - 21*r**4 + 27*r**3 + 39*r**2 - 15*r - 18 = 0. What is r?
-2, -1, -3/4, 1
Determine n, given that -n**4/5 - 4*n**3/5 + 2*n**2/5 + 12*n/5 - 9/5 = 0.
-3, 1
Factor -4*p**2 + 416*p - 10816.
-4*(p - 52)**2
Factor -5*g**4 - 50*g**3 + 515*g**2 + 560*g.
-5*g*(g - 7)*(g + 1)*(g + 16)
Factor -b**4/2 - 48*b**3.
-b**3*(b + 96)/2
Factor -p**3 + 149*p**2 + 302*p.
-p*(p - 151)*(p + 2)
Factor 6*u**2/7 + 150*u/7 + 396/7.
6*(u + 3)*(u + 22)/7
Find f, given that 3*f**5 + 150*f**4 + 2139*f**3 + 6348*f**2 = 0.
-23, -4, 0
Determine p, given that -4*p**5 + 36*p**3 + 16*p**2 - 48*p = 0.
-2, 0, 1, 3
Factor -289*l**5 - 510*l**4 - 157*l**3 + 60*l**2 - 4*l.
-l*(l + 1)**2*(17*l - 2)**2
Solve 2*b**4/3 + 80*b**3/3 + 944*b**2/3 + 960*b + 864 = 0.
-18, -2
Factor 2*p**4/11 + 1794*p**3/11 - 3596*p**2/11.
2*p**2*(p - 2)*(p + 899)/11
Factor 4*c**3 + 40*c**2 + 64*c.
4*c*(c + 2)*(c + 8)
Factor -3*n**3 + 186*n**2 - 2163*n + 7056.
-3*(n - 48)*(n - 7)**2
Factor -4*i**2/7 - 456*i/7 - 12996/7.
-4*(i + 57)**2/7
Factor -k**2 - 592*k - 87616.
-(k + 296)**2
Find m, given that 3*m**3 - 24*m**2 - 33*m + 54 = 0.
-2, 1, 9
Solve -2*r**2 + 78*r - 76 = 0 for r.
1, 38
Determine p, given that -4*p**4/3 + 62*p**3/3 - 86*p**2/3 + 28*p/3 = 0.
0, 1/2, 1, 14
Suppose -4*r**4 + 40*r**3 - 84*r**2 - 16*r + 112 = 0. What is r?
-1, 2, 7
Suppose -5*v**4 + 35*v**3 = 0. What is v?
0, 7
Let 300*o**4 + | {
"pile_set_name": "DM Mathematics"
} |
. Which is the third biggest value? (a) -12 (b) 0 (c) g
a
Let n = 20.8531 + 0.0469. Let u = 21.4 - n. Which is the third biggest value? (a) 5 (b) -0.5 (c) u
b
Suppose 2*q - 71*h - 14 = -75*h, -3*q + 3*h - 24 = 0. Which is the fourth smallest value? (a) 2/7 (b) -0.5 (c) 86 (d) q (e) 3
e
Let u = 0 - 0.04. Let s = u - -0.44. Let t be (-312)/1496 - (4074/(-238) + 17). Which is the second smallest value? (a) s (b) t (c) -3/5 (d) 5
b
Let v = -2284.51 - -2300. Let m = -2.51 - v. What is the smallest value in m, -4, 2?
m
Let r = 13813 - 14622. What is the third biggest value in -1/10, r, -1?
r
Let m = -673 + 672.476. Let i = -0.024 - m. Let k = 4.93 - -0.07. Which is the third smallest value? (a) i (b) -0.1 (c) -3/4 (d) k
a
Let f = 0.038 - 30.038. Suppose 149*i - 93*i = 280. Which is the fourth smallest value? (a) 3 (b) f (c) i (d) 2/19
c
Let o = -1901 + 1571. Which is the fourth biggest value? (a) o (b) -1.3 (c) -2 (d) 5
a
Let g = 17401 - 17400.7. Let o = -8.6 + 9. Which is the fourth smallest value? (a) -3/7 (b) o (c) -11/5 (d) g
b
Suppose j = 3*a + 25, -5*a - 61 = j - 22. What is the second biggest value in -2.8, a, 0.1?
-2.8
Let b = -11.94 - -12. Let j be (393/297)/((-8)/(-12)). Let s = j - 13/6. What is the third smallest value in 2/25, b, s?
2/25
Let j = -12.594 - 0.106. Let o = j + 12.5. Which is the fourth smallest value? (a) 2/11 (b) 3 (c) o (d) 2
b
Let v = 7562 + -37812/5. What is the fourth biggest value in -26/3, -3/4, -0.5, v?
-26/3
Let u = 8.953 - 8.453. What is the second biggest value in -0.1, 8.82, -2, u?
u
Let t = -2/415 + 1674/2905. Let s = 1920/7 - 17455/63. Let g = s + 28/9. Which is the third smallest value? (a) g (b) -0.06 (c) t
c
Let m = -17526 - -17531. Which is the second biggest value? (a) -113/3 (b) -4 (c) m (d) 4 (e) -0.5
d
Let j = -263 - -262. Let y be 1 + (2 - j) - (-204)/(-54). Which is the second biggest value? (a) -5 (b) -0.21 (c) y (d) 0
d
Let v = 438.9 + -438.9. Which is the second biggest value? (a) -2/9 (b) v (c) 0.5 (d) 0.7 (e) -3
c
Let h = 27.078 - 0.078. Let y = 22 - h. Let z = -0.13 - -11.13. Which is the third biggest value? (a) y (b) 2 (c) 0.1 (d) z
c
Let s = 87.3 + -87.7. What is the third biggest value in 2, 4, 2/7, s, -5?
2/7
Let k(w) = w**3 - 57*w**2 + 64*w - 519. Let h be k(56). Which is the smallest value? (a) -0.2 (b) -0.5 (c) -2/3 (d) h (e) 0
d
Let y = -139.00256 + 0.00256. What is the fourth biggest value in -0.4, 2, -3/2, y?
y
Let t = -2179 - -28323/13. Let l = 13 - 9. Suppose l*u + 0 = 12. Which is the second smallest value? (a) -3 (b) 0.5 (c) t (d) u
c
Let f be -1 + 84 - -3*190/(-57). Which is the fifth smallest value? (a) -2 (b) -0.3 (c) f (d) -0.2 (e) 1/3
c
Let i = 4.2761 + -0.2761. Suppose 2*k + k + 17 = -5*l, 0 = -k - 5*l - 19. Which is the third smallest value? (a) k (b) -6/17 (c) i
c
Let p = -4.04282 - -0.04282. Which is the third smallest value? (a) p (b) 3 (c) 0.56
b
Let y = 26.4 + -12.6. Let x = -2.175 - -13.975. Let o = y - x. What is the biggest value in o, -23, -1?
o
Let s = 384 - -155. Let z = -539.3 + s. Which is the biggest value? (a) 5 (b) z (c) 1/4 (d) -4
a
Let f = -7658 + 7533. What is the third smallest value in -0.02, f, 4/3?
4/3
Let l = 17290 + -17289.6. Which is the second biggest value? (a) 3/115 (b) -0.2 (c) -2/11 (d) l
a
Let z = 3 + -2. Let n = -216 - -216.0204. Let l = 5.0204 - n. Which is the biggest value? (a) z (b) l (c) -4 (d) -1/5
b
Let b be (7/(-14))/(4/8) - -17. Let n = 3 + 2. What is the second biggest value in b, n, -2/9?
n
Suppose 2 = -5*z - 4*y - 14, -4*z - 11 = 5*y. Let o = 3/22 + -65/154. Which is the biggest value? (a) 0.5 (b) -5 (c) o (d) z
a
Let b = -81 - -74.6. Let l = -2.4 - b. Let t be 8/21 + 6/(-9). What is the fourth biggest value in 2/13, t, -0.4, l?
-0.4
Let v = 2.364 - 0.244. Let w = v + -1.92. Which is the smallest value? (a) -5 (b) 0.5 (c) w
a
Let f = 1234/11 - 112. Let y = -60 - -60.1. What is the second biggest value in y, f, 1/2, 0.09?
f
Let s = -465 - -464.95. Which is the fifth biggest value? (a) -5 (b) -6 (c) s (d) 0.2 (e) 2
b
Suppose -162 = 39*g - 396. Let q = -14.95 - -15. What is the smallest value in q, g, -2/11?
-2/11
Let q = -7087/88 + 890/11. Which is the biggest value? (a) 5 (b) -4 (c) q (d) 1 (e) -7
a
Let g = 6004 - 5999. What is the fourth smallest value in g, -3, -48, 2?
g
Let n(t) = 3*t + 91. Let q be n(-8). Let j = 25 - 21. Which is the third biggest value? (a) 3/7 (b) q (c) j (d) -2
a
Let o be (-9 - (-311)/35)*10/4. What is the fifth smallest value in 3, 5, o, 2/7, 5/3?
5
Let z = 0 - 1. Let k = 9.168 - 8.368. What is the biggest value in k, z, 0.5?
k
Let w = 152.7 + 5.3. Let g = w - 207.9. Let v = g - -53. Which is the third biggest value? (a) -0.2 (b) v (c) 1/10
a
Let p be (-2)/9 + (-579)/(-945) - (-775)/(-2325). Which is the smallest value? (a) -0.7 (b) p (c) 0.2 (d) 1/3 (e) -3/2
e
Let y = 6680 + -6675. Which is the third biggest value? (a) 0 (b) y (c) -59 (d) -3/2 (e) -53
d
Let q(l) = 3*l**2 - 2. Let j be q(-2). Let r = -96 - -107. Suppose -c - 22 = -5*m, 2*c - 2*m + r = -1. What is the third smallest value in 1, c, j?
j
Let d = 11621 + -11626. Which is the second biggest value? (a) d (b) -0.2 (c) -207
a
Suppose -6 = -2*l - l. Suppose 0 = -l*m - 4*p - 2, 3*m - 2*p - 5 = -6*p. Let d = 349 + -347. What is the smallest value in -4, m, d?
-4
Let m = -0.06 + -0.94. Let l be (-20)/56*(2/3)/((-20)/(-24)). Which is the second biggest value? (a) 3 (b) l (c) m
b
Let i be ((-1)/((-16)/(-12)))/(-3). Suppose -6*w + 11 = -1. Suppose g + w*g = -m - 37, 4*m = -16. Which is the second smallest value? (a) g (b) 0.1 (c) i
b
Let h = 45.7 - -9.3. Let s = 50 - h. Which is the smallest value? (a) -2/41 (b) s (c) -2
b
Let t = -33.2 + -3.8. Let s = 48.6 + t. Let r = s + -12. Which is the smallest value? (a) 5 (b) 2/9 (c) r
c
Let b = -177/1034 + -1/94. Let p = 734 - 343. Let a = 387 - p. What is the second smallest value in 1/3, b, a?
b
Let q be (6/(108/(-26)))/(1/(-291)). Let d = q + -419. Let n = -3 + 3.5. What is the third smallest value in n, d, 2?
2
Let q = -77.36 - -77.76. What is the third smallest value in 7, -1/3, -2/1073, q?
q
Let o be 4/(-6) - 38/(-30). Let k be ((-10502)/295)/(4*(-1)/(-5)). Let w = 45 + k. Which is the second smallest value? (a) 3 (b) w (c) o (d) -1
b
Let a = 0.5309 + -0.2309. What is the second smallest value in -2, a, 2, -3.2?
-2
Let v = -61/33 - -24/11. Suppose 4*p + 11 = 3. Let b(n) = n**2 + n - 2. Let x be b(p). What is the second biggest value in v, x, 3/2?
v
Let k be ((-2)/4)/(333/(-3182)) + 4/18. Which is the fourth biggest value? (a) -0.096 (b) 4 (c) k (d) -4
d
Let p be ((-69)/6 - -11)*(0 + (-14)/(-189)). Which is the second biggest value? (a) p (b) 2 (c) -1 (d) -2
a
Let v = -32.77 - 5.13. Let r = -38 - v. Which is the fourth biggest value? (a) 2 (b) -7 (c) -3/2 (d) r
b
Suppose -15*t = -34*t - 155 + 41. Let g = 84 + -1262/15. Which is the third smallest value? (a) t (b) -1/11 (c) g (d) 0.3
b
Let a = 20 + -71. Let x = a - -19. Let k = -35 - x. What is the second smallest value in 4, k, 1?
1
Let s be -1*50/(-575) - 1138/(-138). Which is the fifth smallest value? (a) 1 (b) s (c) -1/5 (d) 3/8 (e) -2/9
b
Let o(d) = -2*d - 2. Let a be o(-2). Suppose 0*y - a*j = -2*y, 4*y = 2*j + 6. Let z = 13549 - 13548.5. What is the second smallest value in 2, 3/7, z, y?
z
Let k = 758 - 765.21. Let f = k - 24.49. Let n = -32 - f. Which is the second biggest value? (a) 4 (b) n (c) -2
b
Let h = -30097.202 + 30070. Let s = h + 0.202. Let x = -6 - -4. Which is the biggest value? (a) x (b) 0.4 (c) s
b
Let b = 19057 + -19061. What is the second smallest value in 0.03, -48/5, b?
b
Let b = 144107/15 - 9607. What is the second smallest value in b, -3/2, -148?
-3/2
Let y = 6607 - 6609. Which is the smallest value? (a) -57 (b) -1/4 (c) y
a
Let n = -3.48 - 11.52. What is the second smallest value in n, -0.2, -1/8?
-0.2
Let h be (-3)/2*44/3. Let u = -1/21142 - -5287/31713. What is the second biggest value in h, -0.3, u?
-0.3
Let q = -3.06 + 0.06. Let z = 1 + q. Let j = 4.235 - 4.035. Which is the fourth smallest value? (a) -2/9 (b) z (c) -0.2 (d) j
d
Let g = -1.67 + 1 | {
"pile_set_name": "DM Mathematics"
} |
**2 - 13*s + 11. Suppose 0 = 4*h - 8, -2*h + 5*h - 45 = -3*b. Let m be t(b). List the prime factors of (-105)/(-2) + m/22.
53
Let h(g) = -g + 1. Let r(m) = 24*m + 9. Let l(z) = -36*z - 13. Let n(i) = 5*l(i) + 8*r(i). Let w(s) = 6*h(s) - n(s). What are the prime factors of w(-2)?
5, 7
Let d be (-1796)/(-16) + (-3)/(-4). Suppose 0*p + p + 3*w - d = 0, 1 = -w. List the prime factors of p.
2, 29
Let b(x) = 150*x - 1 - 155*x - 4*x**2 - 1 - 13*x**3. List the prime factors of b(-1).
2, 3
Suppose -5 = -5*w + 5. Let o be (-8)/(-2)*2/w. Suppose 44 = 5*y - 4*j, -5*y - o*j = -98 + 22. List the prime factors of y.
2, 3
What are the prime factors of (10 - 13) + 1*(-2 - -451)?
2, 223
Suppose u - 5*w - 198 = 125, 2 = 2*w. Let a = u - 185. Suppose 4*g + 189 = 5*h, -3*h + g - 6*g = -a. List the prime factors of h.
41
Suppose -5*t = -10*t - 845. Let j = 279 + t. List the prime factors of j.
2, 5, 11
Let g(k) = -k**2 + 20*k - 197. Let c be g(17). Let o(w) = -19*w - 7. Let m be o(5). Let i = m - c. What are the prime factors of i?
2, 11
Suppose 0 = u - 2, 4*o - u + 1780 = 3*u. Let l = -294 - o. What are the prime factors of l?
149
Let t(z) = -22*z + 22*z + 10*z**2. List the prime factors of t(-3).
2, 3, 5
List the prime factors of 2452 + (-25)/(75/(-24)).
2, 3, 5, 41
Suppose -3*g + i - 133 = 0, -3*g + 5*i = -4*g - 39. Let l = g + 79. Suppose 5*h = 100 + l. List the prime factors of h.
3
Let y(s) = -3*s + 6*s + 3*s + 2 - 2*s + s**2. What are the prime factors of y(-10)?
2, 31
Suppose 16 = 28*b - 20*b. Suppose -2*g = 4, -5*y + 88 = b*g - 128. What are the prime factors of y?
2, 11
Let n be 21 + (-5)/(15/(-9)). Suppose w + n = 3*w. List the prime factors of w.
2, 3
Let o = 22 + -15. Suppose 2*g + o + 16 = i, 0 = g + 2*i + 14. Let m = -9 - g. What are the prime factors of m?
3
Suppose 0 = 5*c - c. Suppose 5*t - 8*p = -3*p + 240, 5*t + p - 270 = c. List the prime factors of t.
53
Let h(f) = f**3 + 2*f**2 - 3*f. Suppose 6*d - 3*d = 6. Let t be h(d). Suppose t = -y + 3*y. List the prime factors of y.
5
Let m(s) = -s**3 - 14*s**2 + s + 19. Let p be m(-14). Suppose -147 = -5*z + 4*g, 0*g + 4*g - 123 = -p*z. List the prime factors of z.
3
Let d = 1161 - 739. Suppose b = 4*r + 85, r - d = -4*b - 31. What are the prime factors of b?
97
What are the prime factors of (78/(-2))/(1260/(-114) - -11)?
3, 13, 19
Let b = 1 + -14. Let m(c) = c**2 - 14*c - 15. Let p(g) = -2*g**2 + 15*g + 16. Let h(s) = -3*m(s) - 2*p(s). List the prime factors of h(b).
2, 13
Suppose -369 = -5*x + 1971. List the prime factors of x.
2, 3, 13
Let w = -8410 + 12959. What are the prime factors of w?
4549
Let h(g) = -g**3 - 19*g**2 + 15*g - 13. Let z be h(-22). Let i = -786 + z. List the prime factors of i.
17, 19
Suppose 2*p = 2*m + 2290, -p - m + 77 + 1058 = 0. List the prime factors of p.
2, 3, 5, 19
Suppose 4*w = 8, -l + w - 40 + 236 = 0. What are the prime factors of l?
2, 3, 11
List the prime factors of 2/(82467/(-16497) - -5).
3, 13, 47
Let a be (27/(-12))/(3/8). Let x be 12*(0 + (-3)/a). Suppose 0 = -x*m + m + 195. List the prime factors of m.
3, 13
Suppose 0 = 2*k + k - 6. Suppose 2*s + 2*b = k, 5*b + 13 = -0*s - 2*s. List the prime factors of s.
2, 3
Let s(u) = -7*u**2 - 2*u - 4. Let h(x) = 8*x**2 + x + 4. Let y(j) = -4*h(j) - 5*s(j). Let c be y(-3). What are the prime factors of 18/(-1)*(c - 16)?
2, 3
Let o(l) = -30*l**3 + l + 1. Suppose -j + 3 = -t, 4*t - 2*j + 6*j = 4. Let c be o(t). Suppose 2*d - c = 2. List the prime factors of d.
2
Let u = -19 - -23. Let l(z) = 0 - 6*z - 7*z**2 - z**3 - 5 + u*z. List the prime factors of l(-7).
3
Let k = 765 + -436. List the prime factors of k.
7, 47
Let m = 6 - 4. Let h(o) = 2*o - 3. Let l be h(m). List the prime factors of 464/(-32)*(-3 - l).
2, 29
Let q(f) = -13*f - 17*f + 49*f - 17 - 17*f. Let r be q(11). Suppose 0 = -j + 9 - r. What are the prime factors of j?
2
Suppose d = -3*a + 75 + 19, 68 = 2*a - 2*d. Let s = a - -42. What are the prime factors of s?
2, 37
Let r(v) = -v**2 - 8*v - 7. Suppose 0 = 3*f - 9 + 24. Let m be r(f). List the prime factors of 4/m*-2*-15.
3, 5
Suppose 0 = -34*u + 40*u - 2388. What are the prime factors of u?
2, 199
Let v = -3 - 9. Let i be v/(-16)*(-16)/(-6). Suppose -i*z - q = 3*z - 54, 18 = z + 2*q. List the prime factors of z.
2, 5
Let j(g) = -7*g**3 + 2*g**2 + 2*g + 1. Let u be j(-1). Suppose 3*h = -3*k - 33, -2*h = -2*k + u + 2. Let f = 41 + h. What are the prime factors of f?
3, 11
Suppose -2*w + 4*w = 5*g - 1954, -4*g + 5*w = -1570. List the prime factors of g.
2, 3, 5, 13
Let v(t) = -11*t + 4*t - 2*t**2 - 9 - 3*t**2 + 2*t**3 - 3*t**3. Let l be v(-5). Suppose 52 = 2*d + 4*f, d + 3*f - l = -f. What are the prime factors of d?
2, 13
Suppose -2*s + s + 4 = 0. Suppose 0*l - 20 = s*l. Let p = 15 + l. List the prime factors of p.
2, 5
Let z = -11 - -11. Suppose 2*q - 7*q = z. Suppose -5*y + 58 = 3*b, 2*y + 65 = 3*b - q*b. What are the prime factors of b?
3, 7
Suppose -14483 - 3451 = -7*i. List the prime factors of i.
2, 3, 7, 61
Let h(u) = -u**2 - 1. Let b(a) = -a**3 + 24*a**2 - 56*a - 34. Let s(i) = -b(i) + 5*h(i). What are the prime factors of s(27)?
83
Suppose -55*u = -45*u - 6070. What are the prime factors of u?
607
Suppose 0 = -3*k - 6*k + 3672. What are the prime factors of k?
2, 3, 17
Let p(u) be the first derivative of 11*u**2/2 + u + 12. List the prime factors of p(1).
2, 3
Suppose 2*g - 204 = -4*t, 2*g = 23*t - 20*t + 190. What are the prime factors of g?
2, 7
Suppose 2974 = 2*k + 1098. List the prime factors of k.
2, 7, 67
Suppose -5*x - 1175 = -p - 5232, 4*x = 5*p + 3254. What are the prime factors of x?
811
Let a(d) = -d + 12. Let l be a(6). Let j be -2*(-5)/(-10) + l. Suppose 3*q = 2*v - 0*q - 10, j*v = 2*q + 14. What are the prime factors of v?
2
Let q = 15 + 207. List the prime factors of q.
2, 3, 37
Let d be (-6 + 8)*(-20)/2. List the prime factors of (-2772)/d + 4 + (-46)/10.
2, 3, 23
Let y(l) = -2*l + 3. Let t(a) = 4*a - 4. Let c(g) = -3*t(g) - 5*y(g). Let h = 4 + -12. List the prime factors of c(h).
13
Suppose -12*r + 622 = -10*r. Suppose -55 = 4*z - r. List the prime factors of z.
2
Suppose 18*r = 10260 + 6642. List the prime factors of r.
3, 313
Let a(c) = 32 - 17*c + 6 - 3 - 11*c. List the prime factors of a(-7).
3, 7, 11
Let r(s) be the first derivative of s**4/4 - s**3 - s**2/2 + 6*s - 3. Let k be r(5). Let j = 74 - k. List the prime factors of j.
23
Suppose 0 = -16*d + 6357 + 4843. List the prime factors of d.
2, 5, 7
Suppose 2*t - a = 1705, -16*t + 17*t + 4*a - 875 = 0. What are the prime factors of t?
3, 5, 19
Let y(k) = k**3 + 9*k**2 - 21*k - 2. What are the prime factors of y(-9)?
11, 17
Suppose 0*k + 3*k = 135. Let l = k - 117. Let f = l - -104. List the prime factors of f.
2
Let s(m) = m**2 + 4*m - 7. Let q(y) = y**3 + 3*y**2 - y + 2. Let c be q(-4). List the prime factors of s(c).
53
Let w be -3 - (-10)/4 - 1045/10. Let s = 26 - w. List the prime factors of s.
131
Let v = 819 + -445. List the prime factors of v.
2, 11, 17
Let p = 1101 + -636. List the prime factors of (p/45)/(1/3).
31
Suppose 30*u - 2403 - 177 = 0. What are the prime factors of u?
2, 43
Suppose b + 20 = 5*b. Suppose 0 = b*g - 3*g - 328. List the prime factors of g.
2, 41
Let f be ((-2)/6)/(4/(-24)). Let i be f*(140/8 - 2). Suppose -i = -5*n + 144. List the prime factors of n.
5, 7
Let k(u) = -u**3 + 12*u**2 - 10*u - 8. Let i be k(11). Suppose -i*x - 139 = -13. What are the prime factors of 44/33*x/(-4)?
2, 7
Let g(m) = -18 + m**2 + 9*m + 14 + m**3 - 2*m - 15*m**2. List the prime factors of g(14).
2, 47
Let k = -239 - -316. What are the prime factors of k?
7, 11
Let m = -316 + 724. What are the prime factors of m?
2, 3, 17
Suppose -2699 = -8*r - 683. List the prime factors of r.
2, 3, 7
Let w(k) = k**2 + 4*k - 10. Let b be w(-6). Suppose 0 = s + b - 5. What are the prime factors of 64 - (3 + s + -4)?
2, 31
Suppose 2403*v - 2418*v + 52920 = 0. What are the prime factors of v?
2, 3, 7
Suppose 0 = -3*u - z + 32, 0 = -4*u + 2*z - z + 52. Let a be 206/3 + 4/u. Suppose o + 20 = a. What are the prime factors of o?
7
Suppose 4*l + 1 = -3*s, -2*l + 0*l + 3*s + 13 = 0. Suppose 218 = v - 2*x - 3*x, 5*v - l*x - 1182 = 0. What are the prime factors of v?
2, 7, 17
Let f(q) = -27*q + 6. Let b be f(4). Let v = b - -212. What are the prime | {
"pile_set_name": "DM Mathematics"
} |
- 35.
-9*j**2 - 4
Collect the terms in 5462*w**2 + 145*w - 5459*w**2 - 5 + 5 + 0.
3*w**2 + 145*w
Collect the terms in 21*p**3 + 4*p - p + 2*p**3 - 14*p**3 - 10*p**3 - 3*p.
-p**3
Collect the terms in 65633 + 64463*t**2 - 65633.
64463*t**2
Collect the terms in 93*u**2 - 35 - 400*u**2 + 33 + 412*u**2.
105*u**2 - 2
Collect the terms in -1170*y + y**2 - 20 - 3*y**2 + 207*y.
-2*y**2 - 963*y - 20
Collect the terms in 210*a - 4018 + 2018 + 2000 + 5*a.
215*a
Collect the terms in 5558*h - 6522*h + 43744*h + 31303*h.
74083*h
Collect the terms in 4128 - 17277 + 4129 + 4896 - 10*o + 4124.
-10*o
Collect the terms in -2305*k + 902*k - 106*k**2 + 1403*k.
-106*k**2
Collect the terms in 644 - 177 - 38*h - 153 - 2*h**3 - 154 - 160.
-2*h**3 - 38*h
Collect the terms in 0*w**2 - 6124*w - 2*w**3 + 2*w**2 + 17126*w + 23069*w.
-2*w**3 + 2*w**2 + 34071*w
Collect the terms in 13*n**3 + 5116325610215624*n**2 - 5116325610215623*n**2.
13*n**3 + n**2
Collect the terms in 661344*g**3 + 131*g - 131*g - 662847*g**3.
-1503*g**3
Collect the terms in 14*q**2 - 336*q**2 + 0*q**2 - 35*q**2.
-357*q**2
Collect the terms in 2758*l**3 - 660*l**3 - 2161*l**3.
-63*l**3
Collect the terms in 3 + 5583*y**2 - 5327*y**2 - 5.
256*y**2 - 2
Collect the terms in -4*w**3 + 11*w**3 + 12*w + 87*w**2 + 62*w**2 - 149*w**2.
7*w**3 + 12*w
Collect the terms in 177*q**2 - 531*q**2 + 2451*q + 173*q**2 - 2451*q + 177*q**2.
-4*q**2
Collect the terms in -863*g**2 - 667*g**2 + 1530*g**2 + 172*g**3.
172*g**3
Collect the terms in 32842*r - 32866*r + 17*r**3 + 7*r**3 - 27*r**3.
-3*r**3 - 24*r
Collect the terms in 194062*o + 40 - 91 + 51.
194062*o
Collect the terms in -1453*y**2 + 3 + 452*y**2 - 3 + 500*y**2 + 504*y**2.
3*y**2
Collect the terms in 200*c - 494*c - 4 - 3*c**3 + 53 + 248*c + c**3.
-2*c**3 - 46*c + 49
Collect the terms in 72*f**3 - 21*f**3 - 51 - 24*f**3 - 16*f**3 - 41 + 92.
11*f**3
Collect the terms in -325*q + 207*q + 38*q + 60*q.
-20*q
Collect the terms in 40*l + 100*l - 140*l - 20*l**2 - 147*l**2.
-167*l**2
Collect the terms in 4150*d**2 - 2056*d**2 - 2*d - 1100 - 2096*d**2.
-2*d**2 - 2*d - 1100
Collect the terms in -76*h + 59 + 156*h + 55 - 78*h - 114.
2*h
Collect the terms in 8*a + 9 - 24*a + 2*a**2 - 8 + 147*a + 477*a.
2*a**2 + 608*a + 1
Collect the terms in 2*m - 89*m**2 + 3540*m**3 + 118*m**2 - 3536*m**3.
4*m**3 + 29*m**2 + 2*m
Collect the terms in 7865*g - 3192*g - 4578*g.
95*g
Collect the terms in -249311*k + 62334*k + 62332*k + 62324*k - k**3 + 62321*k.
-k**3
Collect the terms in 34 - 11 - 192563*o - 23.
-192563*o
Collect the terms in 23059 - 23059 + 14002*l - 14006*l.
-4*l
Collect the terms in 58*b + 18*b - 26*b + 95*b + 23*b + 11*b**2.
11*b**2 + 168*b
Collect the terms in j**2 + 60 + 0*j**2 - 4*j**2 + 20*j**3 - 19*j**3.
j**3 - 3*j**2 + 60
Collect the terms in -174 - 109*t - 115*t + 458*t - 116*t - 121*t.
-3*t - 174
Collect the terms in -2*h**2 + 354 - 191 + 32 - 195.
-2*h**2
Collect the terms in 5 + 2727844*m - 16 + 7 + 2727872*m - 5455729*m + 4.
-13*m
Collect the terms in -24*y**2 + y + 40*y**2 - 391 + 544*y**3 - 16*y**2.
544*y**3 + y - 391
Collect the terms in -409*a**3 + 1247*a**3 - 414*a**3 - 429*a**3.
-5*a**3
Collect the terms in 119*u**3 + 58*u**3 - 41*u**3 + 23303 - 23303 + u.
136*u**3 + u
Collect the terms in 7829143*u**2 + 7829511*u**2 - 15658661*u**2.
-7*u**2
Collect the terms in -736*n**3 - 100*n**3 - 140*n**3 + 20*n**3.
-956*n**3
Collect the terms in -867*i + 178*i + 288 - 145 - 654*i - 144 - 208*i + i**2.
i**2 - 1551*i - 1
Collect the terms in -2844557*y**2 - 2844566*y**2 + 5689122*y**2 - 145.
-y**2 - 145
Collect the terms in 26*d**3 + 345799*d**2 - 691599*d**2 + 345799*d**2.
26*d**3 - d**2
Collect the terms in -111*w**2 + 375*w**2 - 69*w**2 - 128*w**2 - 72*w**2.
-5*w**2
Collect the terms in 12*q**3 + 13*q**3 - 94 - 59 - 119 + 323 - 51.
25*q**3
Collect the terms in 21*r**3 + 25*r**3 + 17848*r + 17842*r - 35690*r.
46*r**3
Collect the terms in -b - 1412*b**2 - 7 + 9 + 9 - 778*b**2.
-2190*b**2 - b + 11
Collect the terms in -3 + 62*i**2 - 13 - 73*i**2 + 44*i**2 - 2*i.
33*i**2 - 2*i - 16
Collect the terms in 63 + 118*g**3 + 2*g + 63 - 104 - 2*g - 24.
118*g**3 - 2
Collect the terms in -92*f**3 - 13 - 779*f + 296*f**3 + 778*f.
204*f**3 - f - 13
Collect the terms in -781862*g**3 - 6321211*g**3 + 2*g**2 + 931799*g**3 - 4.
-6171274*g**3 + 2*g**2 - 4
Collect the terms in -34*c + 868 + 33*c + 1682.
-c + 2550
Collect the terms in 14766*s - 1265*s + 14885*s - 3523*s.
24863*s
Collect the terms in -304 - 9*p**2 - 106 - 113 + 523 - 11*p**2.
-20*p**2
Collect the terms in 2150953*q**2 + q**3 + 2*q**3 - 2150959*q**2.
3*q**3 - 6*q**2
Collect the terms in 600665*b - 9 + 9 + 79308*b.
679973*b
Collect the terms in -2325*q**3 - 6360*q**3 + 677*q**3.
-8008*q**3
Collect the terms in v**3 - 4077*v + 1954*v + 2123*v - 45*v**3.
-44*v**3
Collect the terms in -110*s + 8042021*s**2 - 8041994*s**2 + 110*s.
27*s**2
Collect the terms in -69*g - 70*g - 49*g - 55*g + 233*g.
-10*g
Collect the terms in 102*o**2 - 26*o**2 - 792*o - 74*o**2 - 1 + 1 - 251*o.
2*o**2 - 1043*o
Collect the terms in -389604701509 + 6*d**3 + 389604701509.
6*d**3
Collect the terms in -764*x**2 + 764*x**2 + 6242421942*x**3 - 6242421947*x**3.
-5*x**3
Collect the terms in -22 - 218*h - 13*h + 20 - 229*h + 0*h**2 - 3*h**2 + 149*h.
-3*h**2 - 311*h - 2
Collect the terms in 0*m**2 + 1 + 0*m**2 + 210649*m**3 - 210579*m**3.
70*m**3 + 1
Collect the terms in -628*v**2 - 1438*v**2 + 285*v**2.
-1781*v**2
Collect the terms in 1723*y**3 - 852*y**3 - 869*y**3 + 683*y.
2*y**3 + 683*y
Collect the terms in -7452*n**2 + 132*n**3 + 3721*n**2 - 126*n**3 + 3731*n**2.
6*n**3
Collect the terms in -177*u + 70 - 16*u**2 + 90*u - 43 + 87*u.
-16*u**2 + 27
Collect the terms in -29933*d + 28249*d + 73607*d.
71923*d
Collect the terms in -33 - 110*p**3 - 37 - 220*p**3 + 85*p**3 + 71.
-245*p**3 + 1
Collect the terms in -9 - 3763*x**3 + 9 - 2757*x**3 + 2081*x**3.
-4439*x**3
Collect the terms in 4*u - 20043 + 19214 + 33966 + 48721.
4*u + 81858
Collect the terms in 2453*p + 1713*p + 1379*p.
5545*p
Collect the terms in 0 - 5 + 84*b**2 - 213*b**2 - 1 + 147*b**2 + 6.
18*b**2
Collect the terms in 580*m**2 - 1746*m**2 + 584*m**2 + 585*m**2 - 10*m**3 + 45*m**3 - 13*m**3.
22*m**3 + 3*m**2
Collect the terms in s - s**2 + 5087*s**3 + 6075*s**3 - 11855*s**3.
-693*s**3 - s**2 + s
Collect the terms in 247*y**3 + 677*y**3 - 932*y**3.
-8*y**3
Collect the terms in 161568*u - 2 - 80790*u - 80777*u.
u - 2
Collect the terms in 2*j**2 - 8*j**2 + 209*j**3 + 206*j**3 + 6*j**2 + 103*j**3.
518*j**3
Collect the terms in 0*f**2 - 310*f - f**3 + 24*f + 0*f**2 + 100*f + 84*f.
-f**3 - 102*f
Collect the terms in -67*l + 252*l - 5*l - 43*l - 138*l.
-l
Collect the terms in -72572*c**2 - 8*c + 8*c - 58727*c**2.
-131299*c**2
Collect the terms in -1 + 12 - 27 + 16 + 93001*r**2.
93001*r**2
Collect the terms in -42*b**2 + 959804 + 958429 - 1918233.
-42*b**2
Collect the terms in 291*m - 43 - 37 + 108 - 28.
291*m
Collect the terms in -1786*i**2 - 1479*i**2 + 3373*i**2.
108*i**2
Collect the terms in -553968217 - 102*z - 18*z + 553968217.
-120*z
Collect the terms in 45097 + 2*o - 24*o + 23*o.
o + 45097
Collect the terms in 269340 + 12*n + 926*n**2 - 269340.
926*n**2 + 12*n
Collect the terms in -68*s**2 + 104*s**2 + 15*s**2 - 52*s**2.
-s**2
Collect the terms in 188*i**3 + 3*i - 720*i**3 + 466*i**3 - 3*i.
-66*i**3
Collect the terms in 19699*s + 0 + 1 - 59121*s + 19695*s - 1 + 19728*s.
s
Collect the terms in -7*o**2 + 84*o - 44*o + 10*o**2 + 189 - 42*o.
3*o**2 - 2*o + 189
Collect the terms in -30*z - 23*z + 64*z - 119 + 204 - 85.
11*z
Collect the terms in 8141*o**3 + 9300*o**3 + 104*o**2 - 17439*o**3.
2*o**3 + 104*o**2
Collect the terms in -6*u - 35057*u**2 + 2*u + 4*u.
-35057*u**2
Collect the terms in 97*m**3 - 12*m**3 + 70*m**3 - 10*m**3.
145*m**3
Collect the terms in -168*j**2 - 55*j**2 - 183*j**2 - 99*j**2 + 477*j**2 - 177*j**2.
-205*j**2
Collect the terms in 21561*y**2 + 6455*y**2 - 2874*y**2.
25142*y**2
Collect the terms in -2 + 2 - 34807*y - 78588*y.
-113395*y
Collect the terms in -334139*u**3 + 334143*u**3 + 13761*u - 13761*u.
4*u**3
Collect the terms in -93066 + 93066 + 505*j**3 + 711*j**3.
1216*j**3
Collect the terms in 26590*j**3 - 51706*j**3 + 26229*j**3.
1113*j**3
Collect the terms in -14*u + 14*u**3 | {
"pile_set_name": "DM Mathematics"
} |
t c(p) = -p**3 + 8*p**2 + 3*p - 23. Let l be c(8). Let h be (l/(-2) - 1)/3. What is the third biggest value in -4, y, h?
-4
Let z = -4802 + 4813. Which is the second biggest value? (a) 1 (b) -0.4 (c) z (d) -2 (e) 0.4
a
Let f = 359.4 - 405. Let w = -47.6 - f. What is the third biggest value in 0.3, w, 5?
w
Let h = -3.5 - 0.5. Suppose -5*w - b - 17 = -1, -2*w = 5*b + 11. Let t = -13.873 + 13.623. What is the biggest value in w, h, t?
t
Let z = 899.23 - 905. Let j = z - -2.77. Which is the smallest value? (a) 1 (b) j (c) -0.3 (d) -1.3
b
Let f = -891 - -892. Which is the second biggest value? (a) f (b) -13 (c) 2 (d) -1/10 (e) 3/8
a
Let b = -11452 - -11450. What is the fourth biggest value in -2/141, b, 0.2, 1?
b
Let m = 3.579 - 3.569. Which is the second biggest value? (a) 1/3 (b) 3 (c) m (d) 0
a
Let v = -16.63 - -16.83. Let s = -0.6 + 0.2. Let i = v + s. What is the fourth biggest value in i, -2/15, -3/4, 0.5?
-3/4
Let x = -13995361/77 + 181778. Let a = 216/11 - x. What is the smallest value in a, -1/4, -10?
-10
Let k = -9970.991 + 9971. What is the biggest value in -80, -5, k, 4?
4
Let i = 724.0529 + -724. Which is the biggest value? (a) i (b) -1/4 (c) 0
a
Suppose -10 = -4*z - 3*v, 4*v - 2*v - 3 = z. Let g = 6.6 + -6.1. Let x be (1 - 2/(-6))/((-8)/(-30)). Which is the smallest value? (a) 0.4 (b) z (c) x (d) g
a
Let f = -14120 + 14150. Which is the third smallest value? (a) -0.4 (b) f (c) 6/17
b
Let l = 33.71 - 33.21. What is the fourth biggest value in -1, 2, 6, l?
-1
Let z = 1601 - 142491/89. Suppose 0 = -3*g - 3*n - 12, -5*g - 914*n = -912*n + 8. What is the third biggest value in 3/8, 2, z, g?
g
Let v = 17032.6 + -17033. What is the second biggest value in v, 10, 1/76?
1/76
Let b = -1.42 - 0.28. Let u be (1287 - 1293)*1/33. What is the third biggest value in u, -3, b?
-3
Let w = 0.2949 + -0.2949. Which is the second smallest value? (a) 0.4 (b) w (c) 1.2 (d) -0.21
b
Let w be (-1020)/(-48) - (2 + 20). Let j = 2 + -1. Which is the fourth biggest value? (a) 3/4 (b) -4 (c) j (d) w
b
Let w = -149.35 - -144.35. Which is the smallest value? (a) w (b) -2 (c) 4964
a
Let r = 4 - -2. Suppose -4*u + l = r*l - 26, -5*l + 10 = 0. Let x = 189.5 + -189. What is the second biggest value in 1/5, x, -0.3, u?
x
Let g = -13651.4 - -13651. Which is the third biggest value? (a) -5/3 (b) 1/6 (c) g (d) -0.34 (e) -0.5
c
Let y = -6.5 + -28.5. Let h = -29 - y. What is the second biggest value in -3/7, h, 0?
0
Let g = 0.7889 - 0.3889. Which is the fourth biggest value? (a) 0.17 (b) g (c) -5 (d) -130
d
Let g(z) = z**2 - 21*z - 34. Let f be g(23). Let v(d) = -11*d + 16. Let y be v(f). Which is the smallest value? (a) y (b) -0.4 (c) -2
a
Suppose 8 = -3*i - 7. Let q = -14.61 - -16.5. Let x = 1.59 - q. What is the second biggest value in -3/7, x, i, -4?
-3/7
Let f be 2 + -4 - (8 - 6 - 3). Let p = -143.02 + 143. What is the second biggest value in p, f, 2, 3?
2
Suppose 0 = 3*j - 2*j - 3, -4*p + 4*j = -48. Let k be -3 + (-6)/(-6) - (-8)/16. Which is the smallest value? (a) p (b) k (c) -0.3 (d) 0
b
Suppose 0*f = 3*f - 12. Let i be (1 + (-24)/30)/((-1)/(-5)). Let u = -1 - -0.9. Which is the biggest value? (a) -1/4 (b) f (c) u (d) i
b
Let f = -1207.4 - -1211. Which is the third biggest value? (a) 2/7 (b) -2/3 (c) f
b
Let o = 1 + 0. Let x = -24 - -23. Let s = -1140 + 1140.05. Which is the third smallest value? (a) s (b) o (c) x
b
Suppose 8*q - 3*q - 2*n = -25, q + 5 = 2*n. Let k = -67 + 71. Which is the fourth biggest value? (a) k (b) 1 (c) -0.3 (d) q
d
Let a = 1737 - 1732. Let y be ((-30)/(-63))/(-5)*(-35)/5. Let o = 0.5 + -0.53. What is the third biggest value in o, y, a, -5?
o
Let z(w) = -6*w**2 - 166*w + 59. Let i be z(-28). Which is the fifth smallest value? (a) -0.4 (b) 1/15 (c) 3/5 (d) i (e) -5/4
d
Let j be (128/126)/2 - 20/2250*25. Which is the second smallest value? (a) j (b) -9 (c) 6 (d) -1
d
Let v = -1339/30 + 647/15. What is the second biggest value in v, 3/2, -32?
v
Let u be (-1 + (-24)/8)/(6 - 3). Let a be 3 + ((-26)/(-10))/(-1). What is the smallest value in u, 1/2, a, -10?
-10
Let l = -0.1 - 0.1. Let u = 366.48 - 366.53. Suppose -2*v + 4*v = -4. What is the second biggest value in v, 5, u, l?
u
Let n = -24 + 78. Suppose 0*h - 162 = -3*h. Let k = h - n. Which is the third smallest value? (a) 3/5 (b) k (c) -4
a
Suppose 47*s - 4313 = 7625. What is the biggest value in 5, 1/3, s?
s
Let c(m) = m**3 + 9*m**2 - 138*m + 11. Let y be c(8). Let w = -2.35 + -0.65. What is the second smallest value in 0.02, w, -0.3, y?
w
Let q be (-8 - -2)/((-3)/2). Let d be -85 + q*(3 + -4). Which is the smallest value? (a) 2/9 (b) d (c) -0.2
b
Let j = 29/150 + -1579/150. Which is the second smallest value? (a) j (b) -0.08 (c) -2/15
c
Let u = 275 + -274.971. Let w = u - 0.129. What is the second smallest value in 2/5, 2/13, -2/3, w?
w
Let f = -0.27 - 94.73. Let k = f - -98. Suppose 3*y + y = -76. What is the third biggest value in k, y, -1?
y
Let k = -83 - -65.4. Let g = -17.5 - k. What is the second biggest value in 0.4, 1/4, g?
1/4
Let m(n) = -2*n**2 - 4*n + 6. Let q be m(-5). Let i be (15/(-2))/(10/q). Which is the second biggest value? (a) -3 (b) -0.1 (c) i
b
Let p = 0.52253 - 0.02253. What is the second smallest value in 45, p, -0.02?
p
Let u = 2.2184 + -0.2184. Which is the second biggest value? (a) 3 (b) 0.039 (c) u
c
Let a = -698 - -265. Let c = a - -433.1. What is the second smallest value in -2, c, 2, 5?
c
Suppose 0 = 2*k + 4*w - 10, 0 = 5*k - 0*k - 5*w + 50. Let h = 2530.7 - 2531.2. Which is the second biggest value? (a) -3 (b) h (c) k (d) -2/3
d
Let q = 39 - 8. Suppose -90 = 5*c - 3*b, 3*c - 4*b + 34 = -q. What is the smallest value in -5, -1, c?
c
Let r = -1104 - -1104. Suppose t = 3*f + 106, -t + 179 = -5*f + 3*t. Let x be (-2)/(-5) - (-9)/f. Which is the biggest value? (a) 2/7 (b) r (c) x
a
Let v = -37/2 + 19. Let r = -0.22 - 135.78. Let y = 135.6 + r. What is the biggest value in v, -2, y?
v
Let q = -104.8046 + -0.1954. Let x = -0.05 + -0.35. What is the third smallest value in -0.1, q, x?
-0.1
Let y = -321.2549 - 0.7451. What is the biggest value in 3, -2/11, y?
3
Suppose -5*k + 45 = 5*v, 5*v - 11 + 16 = 5*k. Which is the third smallest value? (a) 38 (b) 0.1 (c) 2/11 (d) -7 (e) v
c
Let j = -1118.08 + 1100. Let k = 18 + j. What is the third biggest value in k, -5, -2/11?
-5
Let t(i) = -4*i**2 - 6*i + 4. Let d be t(-2). Let k be (-15)/(-25)*(d + (-10)/(-6)). Which is the third biggest value? (a) -1/6 (b) -0.13 (c) k
a
Let r be (-1)/(-2) - (0 - 14/(-7)). Let o = -0.3 + 2.3. What is the smallest value in 0, r, 1, o?
r
Suppose 3*y + 2*s = -2*y + 99, -y = s - 18. Let b = -1049 - -1047. What is the third biggest value in -0.3, b, -5, y?
b
Let t = -30265 - -30315. Which is the smallest value? (a) 1 (b) t (c) -0.09 (d) -5 (e) 0.1
d
Let t = -622.87 + 626. Let w = t - 2.8. Let k = w - -5.67. Which is the biggest value? (a) -0.5 (b) k (c) 1/6
b
Let f = 23711 + -687617/29. What is the fifth smallest value in -0.1, 1/4, 16/3, -4, f?
16/3
Let g = 2.58 - 2.88. Let f = 81/2 - 39. What is the fourth biggest value in g, 1/4, 1/10, f?
g
Let y = -1.0615 - 2058.9385. What is the second smallest value in y, 0.1, 5?
0.1
Let q = -0.21033 + 1.21033. Which is the second smallest value? (a) 0.0948 (b) q (c) -0.2
a
Let s = -0.0307 + -0.6033. Let n = 1.134 + s. Which is the third smallest value? (a) 5 (b) n (c) -8 (d) -5
b
Let j = 2967 - 2967.1. Which is the third biggest value? (a) j (b) -2/19 (c) 4 (d) 3
a
Let v = 3341 + -6685/2. Let w(r) = -r - 6. Let n be w(-6). What is the third biggest value in v, n, -5, -2/15?
v
Let p = -0.2 + 0.3. Let i = -45820 - -45819.6. Suppose 2*c - 2*z = 14, z + 1 = -c + 4. What is the smallest value in c, i, 0.2, p?
i
Let n = 398087.5 + -398087. Let q = -78 + 112. What is the second biggest value in q, -4, n?
n
Let q = 0.3 - 0.1. Let i = 1 - 0. Let g be (-2*3/(-54))/((-19)/(-342)). What is the third smallest value in i, -2/15, q, g?
i
Let t = 185.6 - 186. Let y = 93 + -89. Suppose -y*f + 8 = -12. Which is the second smallest value? (a) 4 (b) f (c) 1/4 (d) t
c
Let k = 9.21 - 0.21. Let j = 39875.5 + -39875. What is the smallest value in 0.2, k, | {
"pile_set_name": "DM Mathematics"
} |
*w - 3 + 236*w - 696*w. Calculate 6*r(j) + 17*v(j).
-2*j - 1
Let w(l) = -5*l**3 + 4*l**2 + 3*l + 49. Let f(t) = -2*t**3 + 2*t**2 + 2*t - 2. Calculate 2*f(j) - w(j).
j**3 + j - 53
Let t(j) = -3*j**2 + j**2 - 2 + 5*j**3 + j**3. Let p(c) = c**3 - 1. Suppose 16 = 6*l - 4*l. Let k be 26/(-7) + l/(-28). Determine k*p(f) + t(f).
2*f**3 - 2*f**2 + 2
Let n(y) = y. Let t(m) = -5*m + 3. Let w(o) = -27*o + 17. Let h(d) = 11*t(d) - 2*w(d). Calculate 2*h(x) - n(x).
-3*x - 2
Let z(f) = 6*f - 251. Let h(m) = 4*m - 126. What is 5*h(q) - 3*z(q)?
2*q + 123
Let m(y) = -2 + 9*y**3 + 488*y - 489*y - y**3. Let a(o) = 7*o**3 - o - 2. What is -6*a(t) + 5*m(t)?
-2*t**3 + t + 2
Let r be (2 + 2)/(0 - -2). Let o(y) = -2*y + 6. Let l be o(-4). Let b(q) = -5*q + 5*q**2 - l*q**2 + 5*q**r. Let i(j) = -j**2 - j. Give -3*b(h) + 15*i(h).
-3*h**2
Let v(y) = 2*y**3 - 4*y**2 + y. Suppose 5*a = -5*j + 275, -28 = -j + 2*a + 15. Let r be (-3)/12 + (j/4)/3. Let t(o) = -o**3 + o**2 - o. Give r*t(b) + v(b).
-2*b**3 - 3*b
Let q(f) = 7*f**3 - 3*f**2 - 3. Let x = 757 - 759. Let j(t) = 8*t**3 - 2*t**2 - 2. Give x*q(d) + 3*j(d).
10*d**3
Let l(w) = w. Let z = -35 + 43. Let i(v) = -28*v - 1 + z*v + 10*v + 9*v. Determine i(h) + 3*l(h).
2*h - 1
Let f(l) = l**2 - 13*l - 1. Let a(b) = 4*b**2 - 51*b - 6. Give -2*a(t) + 9*f(t).
t**2 - 15*t + 3
Let w(m) = -26*m**2 - 2*m - 10. Let t(j) = 9*j**2 + j + 4. What is 11*t(c) + 4*w(c)?
-5*c**2 + 3*c + 4
Let r(c) = -2*c**3 + 5*c**2 + 4*c + 5. Let j(o) = -o**2 + o - 1. Give -5*j(t) - r(t).
2*t**3 - 9*t
Let y(i) = -3*i - 19. Let o(w) = -w - 3. Let j(u) = -4*o(u) + y(u). Let h(r) = r - 8. Calculate 5*h(n) - 6*j(n).
-n + 2
Suppose 2*t + 0*t - 18 = 0. Suppose -5*x - 40 = -t*x - 2*s, 4*x = -5*s + 34. Let a(n) = 21*n**3 + 4*n. Let g(z) = -4*z**3 - z. What is x*g(h) + 2*a(h)?
-2*h**3 - 3*h
Let d(a) = -2*a**3 + 2*a**2 + 108*a - 5. Let u(n) = 5*n**3 - 6*n**2 - 325*n + 14. Give -8*d(h) - 3*u(h).
h**3 + 2*h**2 + 111*h - 2
Let o(j) = -26*j**2 - 24*j + 16. Let g be -6 + 2/(-6) + 60/18. Let y(x) = 5*x**2 + 5*x - 3. What is g*o(s) - 16*y(s)?
-2*s**2 - 8*s
Let g(o) = -2*o**2 + o. Let u(d) = 300*d**2 - 4*d. What is 4*g(x) + u(x)?
292*x**2
Let x(g) = 15*g - 8*g + 0*g - 4. Let h(z) = -3*z**2 + 7*z. Let s be h(3). Let y(i) = -8*i + 5. What is s*x(v) - 5*y(v)?
-2*v - 1
Let n(u) = -u**3 - 2*u**2 + 110*u - 13. Let h(l) = 3*l**3 + 6*l**2 - 329*l + 37. Determine -6*h(w) - 17*n(w).
-w**3 - 2*w**2 + 104*w - 1
Let z(w) = -10*w**2 - w - 13. Let m(y) = -7*y**2 - y - 9. Let r be (4/14)/(1/14). Suppose -2 = -r*u + 18. Determine u*z(f) - 7*m(f).
-f**2 + 2*f - 2
Let f(a) = 7*a - 4*a - 25 + a**2 + 18. Let y be f(-4). Let r(i) = i**3 - i**2 - i + 1. Let l(h) = h**3 + h**2 + h - 1. Determine y*l(s) - 3*r(s).
-6*s**3
Let w(k) = -2*k**3 + k**2 - 1. Let y(r) = 3*r**2 - 65. What is -w(d) + y(d)?
2*d**3 + 2*d**2 - 64
Let h(p) = 8*p + 13. Let s(t) = -11*t - 14. Determine 4*h(z) + 3*s(z).
-z + 10
Let m(i) = -13*i - 1489. Let z(l) = 4*l + 495. Give -2*m(q) - 7*z(q).
-2*q - 487
Let i(v) = 2*v + 5. Let w(b) = 8 - 29*b + 35*b - 1 + 8. Determine -11*i(r) + 4*w(r).
2*r + 5
Let p(j) = -9*j**2 - 2*j - 2. Suppose -3*t - 7 = -31. Let g(r) = -14*r**2 - 3*r - 3. What is t*p(c) - 5*g(c)?
-2*c**2 - c - 1
Suppose -5*m + 5*w - 20 = 0, -2*m + m - 9 = -2*w. Let x(u) = -u. Let c(h) = -h + h + h - 4 + 4. Calculate m*x(t) - 5*c(t).
-6*t
Let v(m) be the second derivative of m**4/4 - 5*m**3/6 - 2*m**2 + 345*m. Let s(b) = -7*b**2 + 11*b + 9. Calculate 4*s(h) + 9*v(h).
-h**2 - h
Let y(l) = -3*l - 5. Let p(v) be the third derivative of -v**5/10 + v**4/12 + v**2. Let z be p(1). Let f(x) = 0 + 2 + 2*x + 2. Calculate z*y(u) - 5*f(u).
2*u
Let d(q) = 9*q + 5. Let a(y) be the third derivative of -1/3*y**3 - 1/6*y**4 + 0*y + 8*y**2 + 0. Determine 5*a(p) + 2*d(p).
-2*p
Let q(a) = -11*a + 11. Let c(u) = -u**2 - 3. Let b be c(0). Let h(y) be the second derivative of -5*y**3/6 + 5*y**2/2 + 12*y. Determine b*q(s) + 7*h(s).
-2*s + 2
Let m(k) = -k**2 - 1. Let v(u) = -37*u**3 - 4*u**2 - 4. Calculate 20*m(q) - 5*v(q).
185*q**3
Let w(u) = -u**2 - 3*u - 6. Let m(q) be the first derivative of -2*q**3/3 - 3*q**2 - 11*q - 116. Determine 4*m(p) - 7*w(p).
-p**2 - 3*p - 2
Let u(s) = -4*s + 2. Let d(y) = -y + 1. Suppose 3*t + 7 + 8 = 0. Let x = 2154 - 2153. What is t*d(b) + x*u(b)?
b - 3
Let y(g) = -g**2 - 1. Let k(x) = -54*x**2 - 63. What is 3*k(v) - 189*y(v)?
27*v**2
Let x(n) = -2*n - 4. Let a(k) = -13*k**2 + 7. Let w(z) = -6*z**2 + 3. Let b(o) = 3*a(o) - 7*w(o). Let r be b(-1). Let d(p) = 1. Calculate r*d(i) + x(i).
-2*i - 1
Let o(a) = 3*a**2 - 27*a. Let d(q) = -3*q**2 + 27*q. Give 3*d(s) + 4*o(s).
3*s**2 - 27*s
Suppose -55 = 70*u - 69*u. Let j(d) = 5*d**3 - 6*d**2 + 6. Let p(m) = 45*m**3 - 55*m**2 + 55. What is u*j(b) + 6*p(b)?
-5*b**3
Let y be (-4)/14 - (-60)/(-35). Let l(z) = z**2 + 2. Let s be l(y). Let c(a) = -26*a**3 - 17. Let p(g) = 9*g**3 + 6. Determine s*c(n) + 17*p(n).
-3*n**3
Let m(w) = -2*w + 5. Let l(i) = -12*i + 24. Calculate 2*l(y) - 11*m(y).
-2*y - 7
Let r(a) = -54*a**2 - 6*a + 16. Let f(z) = -18*z**2 - 2*z + 5. What is 7*f(m) - 2*r(m)?
-18*m**2 - 2*m + 3
Let t(f) = -f**2 - 3*f - 2. Let q(a) = 3*a**2 - 18*a - 38. What is -q(x) + 6*t(x)?
-9*x**2 + 26
Let z(c) = 11*c**2 + c - 1. Let q(b) be the first derivative of b**2/2 - b + 3. What is -q(m) + z(m)?
11*m**2
Let y = 106 - 108. Let u(x) = x**2 + 4*x - 1. Let r(w) = -w**2 - 2. Let k(a) = a**2 - a + 3. Let t(d) = 3*k(d) + 4*r(d). Give y*u(i) - 3*t(i).
i**2 + i - 1
Let x(m) = 3*m - 3. Let l = -381 + 388. Let t(r) = 5*r - 7. What is l*x(i) - 3*t(i)?
6*i
Let c(l) = l**3 + l**2 + l - 1. Let h(w) = 2 - 2 - 2*w**2 - 2*w + 1 + 0*w**2. Let t = -59 + 13. Let d = t + 48. What is d*c(r) + h(r)?
2*r**3 - 1
Let j(b) = 13*b**3 + 2*b**2 - 2*b + 29. Let k(p) = -14*p**3 - 3*p**2 + 3*p - 31. What is 3*j(d) + 2*k(d)?
11*d**3 + 25
Let f(v) = -6*v + 3. Let p(y) = -3*y + 2. Let j(s) = -2*f(s) + 5*p(s). Let n = 15 - 9. Suppose n = -3*q - 6. Let o(z) = 6*z - 9. Calculate q*o(r) - 9*j(r).
3*r
Let m(k) = 1121*k**2 + 133*k. Let u(d) be the first derivative of -17*d**3/3 - d**2 + 415. Give -2*m(i) - 133*u(i).
19*i**2
Let a(f) = -7*f - 4. Let q(z) be the second derivative of -z**3 - 5*z**2/2 + 3*z + 130. What is -5*a(d) + 6*q(d)?
-d - 10
Let z(o) = -4*o - 11. Let w(j) be the first derivative of 0 - 22*j + 7 - j**2 + 17*j. Calculate -7*w(b) + 3*z(b).
2*b + 2
Let l(z) be the first derivative of z**4/4 + z**3/3 - 1393. Suppose 2*i = -2*i + 156. Let s = -21 + i. Let v(u) = -10*u**3 - 9*u**2 + u. Give s*l(n) + 2*v(n).
-2*n**3 + 2*n
Let u(z) = 5*z + 1. Let g(c) = -35 + 0*c + 36 - 4*c + 9*c. What is 4*g(v) - 3*u(v)?
5*v + 1
Let f(g) = -3*g**3 - 4*g**2 + 4*g. Let q(s) = 7*s**3 + 7*s**2 - 7*s. Let r = -224 + 231. Give r*f(c) + 4*q(c).
7*c**3
Let s(b) = -b**2 + b + 1. Let h(p) = 5*p**2 - 196*p - 6. Give h(q) + 6*s(q).
-q**2 - 190*q
Let a(p) = 5*p - 6. Let n(v) = -v**3 + 18*v**2 - v + 17. Let t be n(18). Let i(u) = u - 1. Determine t*a(q) + 4*i(q).
-q + 2
Let m(o) = -180*o - 10. Let z(d) = -61*d - 3. Calculate 3*m(i) - 10*z(i).
70*i
Suppose -1 = -5*x - 6. Let w(s) = -s**2 + 1. Let n(f) = -2 + 29*f - 27*f + 3 - 4*f**2 + 4. Determine x*n(c) + 6*w(c).
-2*c**2 - 2*c + 1
Let u(t) = 5*t**2 + 8*t - 5. Let p(f) = 4*f**2 + 7*f - 4. Calculate -6*p(z) + 5*u(z).
z**2 - 2*z - 1
Let x(i) = -i + 1. Let r(c) = -16*c + 32. Let p be (-4)/(160/(-1288)) + 4/(-20). Calculate p*x(l) - r(l).
-16*l
Let x(b) = -2*b + 2. Let l(q) = -630*q + 1008. Calculate -l(h) + 504*x(h).
-378*h
Suppose -23 - 13 = -3*f. Let z(o) = 15 + f - 32 + 13*o. Let d(g) = 84*g - 32. Give 5*d(b) - 32*z(b).
4*b
Let y(w) = -36*w**2 + 21*w - 21. Let z(d) = -d**2 - d + 1. Calculate 2*y(u) + 42*z(u).
-114*u**2
Let f = -23 - -27. Let b(q) = -3 - f*q**3 - 7*q**2 - 6*q**3 + 7*q**3. Let y(i) = 4*i**3 + 8*i**2 + 4. Determine 6*b(d) + 5*y(d).
2*d**3 - 2*d**2 + 2
Let a(o) = 674*o - 2. Let p(y) = -449*y + 1. Calculate -5*a(q) - 8*p(q).
222*q + 2
Let y be 5/(40/(-24)) - (1 + -5). Let c(z) = 5*z + 1. Let n(t) = -t. Let f(k) = y*c(k) + 4*n(k). Let r(p) = 3*p + 1. Calculate 4*f(l) - 2*r(l).
-2*l + 2
Let j(n) = 4*n - 3. Let v(x) = 5*x - 3. Let c(r) = -4*r - 75. Let l be c(-18). What is l*v(q) + 4*j(q)?
q - 3
Let i(u) = -3. Let j(p) = -45*p - 108. Give 108*i(n) - 3*j(n).
135*n
Let x be ((-12)/3 | {
"pile_set_name": "DM Mathematics"
} |
rt(475)))**2.
-120*sqrt(19) + 133619/16
Simplify ((sqrt(84)/sqrt(12) + sqrt(7))*3*-2*6 + (sqrt(105)/(sqrt(9)/sqrt(3)))/((-1*sqrt(60))/sqrt(12) - sqrt(5)))**2*-3.
-441525/4
Simplify (1*(6*sqrt(1331)*-1*-2*1 - (sqrt(1331) + -4 + (sqrt(1331) + 2 - sqrt(1331)) + sqrt(1331) - (sqrt(1331) - (3 + -1 + sqrt(1331))))))**2.
133100
Simplify -4 + ((4*2*sqrt(156))/sqrt(12) + 0 - (-1 + sqrt(637) + (0 + sqrt(13) + -2 - sqrt(13)) + sqrt(13))**2).
-845 + 56*sqrt(13)
Simplify -3 + sqrt(119)/(sqrt(28) + sqrt(1792) + sqrt(7)) + 6*(sqrt(136) + 2*(sqrt(136) + (sqrt(136)*5 - sqrt(136)) - sqrt(136)))/sqrt(8).
-3 + 1027*sqrt(17)/19
Simplify ((1*sqrt(6)*-6 - (sqrt(6) - (2*sqrt(384) + sqrt(384))))/(1*(sqrt(2) + (sqrt(64)/sqrt(4))/sqrt(8)))*-5 + -3)**2.
255*sqrt(3) + 21711/4
Simplify (4*(-3*sqrt(88)*2 + sqrt(88)))/(5*(-1*sqrt(128) - sqrt(128))) + -2.
-2 + sqrt(11)/2
Simplify (5*(sqrt(99) - -2*sqrt(99)) + sqrt(99) + 4*-2*sqrt(99))/(3*-1*sqrt(324)) + -5.
-5 - 4*sqrt(11)/9
Simplify (-1*sqrt(4455) + sqrt(55) + (sqrt(660)*1)/sqrt(12))/((sqrt(99) + -2*-1*sqrt(99) - sqrt(99)) + (-5*1*sqrt(99) - sqrt(99))).
7*sqrt(5)/12
Simplify (4*-3*(sqrt(156) - (sqrt(156) - ((sqrt(156) - sqrt(156)*-1*-5 - sqrt(156)) + sqrt(156)))))/((-1*sqrt(108)*3)/(sqrt(9) - -1*sqrt(81))).
-64*sqrt(13)
Simplify (-1*(-4 + sqrt(3)))**2 + (sqrt(3) - sqrt(21)/sqrt(28) - sqrt(3))**2 - (sqrt(324)/(sqrt(12)*-1))/(sqrt(144)*1).
-31*sqrt(3)/4 + 79/4
Simplify ((sqrt(2058) + (sqrt(2058) - 3*sqrt(2058)) - sqrt(2058))*4*2)/(5*sqrt(42)/(-3*sqrt(112))).
1344*sqrt(7)/5
Simplify (1*(5 + sqrt(1539) + sqrt(1539)*-3))**2 - (sqrt(19) + -6*(0 + sqrt(19)) + 2*sqrt(304))**2.
-180*sqrt(19) + 6010
Simplify -6*(-5 + (3*sqrt(720) + sqrt(720) - sqrt(720))**2 + sqrt(5)) + 3*(-2 + (sqrt(720) - (-4 + sqrt(720)))).
-38844 - 6*sqrt(5)
Simplify (0 + -1*sqrt(1053)*-2 + (sqrt(78)*2*-2)/(sqrt(6) - (-1*sqrt(96) - sqrt(6))))**2 + 4.
35188/9
Simplify (6*(sqrt(525) - (sqrt(525) + sqrt(525) + -1*sqrt(525)*6 + sqrt(525))))/(-6*-1*sqrt(300)*-1).
-2*sqrt(7)
Simplify (5*(2*sqrt(175) + 1 + -5 - (-3 + sqrt(175) + 3 + 2)))**2.
-1500*sqrt(7) + 5275
Simplify (((sqrt(170)*2 - sqrt(170))*-4 - sqrt(170)*1*2)*-2)/(-1*(sqrt(10) - (sqrt(10) + sqrt(10)*2*-3) - sqrt(10) - sqrt(10))*-6) + -1 + 1.
sqrt(17)/2
Simplify (-3 + -2 + sqrt(19)*2*6 + (sqrt(19) - (sqrt(228)*1 - sqrt(228))/sqrt(12))*4 + 1 + -1)**2.
-160*sqrt(19) + 4889
Simplify (((sqrt(204) - -1*sqrt(204) - sqrt(204))*2 + sqrt(204) + sqrt(204))/(sqrt(4)*-1*4))/((sqrt(192)*-1 - sqrt(192))*1*-4).
-sqrt(17)/64
Simplify (-1*-1*(sqrt(68) + sqrt(17)))**2 + 1 + 4 + -2*sqrt(17) + sqrt(17) + -3 + -4.
-sqrt(17) + 151
Simplify -1*(((sqrt(72) + sqrt(72) + 2*sqrt(72))/sqrt(8) - ((sqrt(90)/(2*sqrt(10)) - sqrt(9)) + sqrt(9)))/(sqrt(243)*4))**2.
-49/1728
Simplify -1 + (-2 + (1 + sqrt(1300))**2 - (-1*(1 + sqrt(1300)) + sqrt(1300))) - (sqrt(364) - 5*(sqrt(364) + sqrt(364)*2 + sqrt(364) - sqrt(364)))/(sqrt(28)*1).
34*sqrt(13) + 1299
Simplify 6*-6*(1*(4 + (-2*sqrt(11))**2) - (-4 + (sqrt(1331) - (sqrt(1331) - -2*sqrt(1331))))**2).
6336*sqrt(11) + 190512
Simplify (sqrt(98) + -2 + sqrt(98) + -2 + -1)**2 - ((sqrt(8)/(sqrt(32)/(sqrt(48)/sqrt(6))))**2 + -3).
-140*sqrt(2) + 418
Simplify (((sqrt(450) - -2*sqrt(450)*1)/sqrt(9))/((-1*-5*sqrt(70))/sqrt(7)) + 0)**2.
9/5
Simplify -5 + (3*sqrt(77)*-2 + sqrt(77)*1*1 + sqrt(77))/(sqrt(21)/sqrt(3)*-5 + (sqrt(252) - (-2*sqrt(252) + sqrt(252) + sqrt(252)))) + -1.
-4*sqrt(11) - 6
Simplify (-1*6*(sqrt(7) + sqrt(63)/sqrt(9))*-5 + ((-2 + -5 + sqrt(448))*4)**2)*-1.
-7952 + 1732*sqrt(7)
Simplify ((sqrt(96)*-2 + (sqrt(6) - (sqrt(6) - sqrt(12)/sqrt(2) - sqrt(6))*-1))/((2*sqrt(21))/sqrt(7) + (sqrt(15)/sqrt(5) + sqrt(3))*-3))**2.
8
Simplify (2 + -1 + ((-1 + sqrt(1700) + 2)*4 + -3 + sqrt(1700) + -1 + 1 + sqrt(1700))**2)*-5.
-306010 - 600*sqrt(17)
Simplify (3*sqrt(75) + 5 - (sqrt(75) + -3 + sqrt(75) + sqrt(75))*-4)**2 - (2*((sqrt(75) + 1 - sqrt(75)) + 3)*-1)**2.
-1050*sqrt(3) + 16860
Simplify ((sqrt(364)/(sqrt(56)/sqrt(8)*2))/(sqrt(216)/(-5*sqrt(6))))**2.
325/36
Simplify 1*(4 + (sqrt(1216) - (-2*sqrt(1216))**2))*-6 + (sqrt(1216) - (-3*sqrt(1216) + -2 - sqrt(1216))**2 - (3*(sqrt(1216)*-1 - sqrt(1216)) - sqrt(1216))).
-112*sqrt(19) + 9700
Simplify (sqrt(57)/(sqrt(12)/(sqrt(4)*1 + sqrt(4))) + 0 + (-4*sqrt(475) - (sqrt(684) + -2)))*6*-2.
-24 + 288*sqrt(19)
Simplify (-3 + sqrt(7) + 1)**2 - 4*4*sqrt(7) - 3*(2 + sqrt(847)*3).
-119*sqrt(7) + 5
Simplify -3 + (sqrt(363)*5 - sqrt(363))*1 + (sqrt(300) - (-1 + sqrt(300)) - sqrt(300))**2*6*6.
-676*sqrt(3) + 10833
Simplify -6*((sqrt(153) - -2*sqrt(153) - sqrt(153)) + sqrt(34)/sqrt(2) + -3 + (4*1*sqrt(85))/sqrt(5))*-5*5 + -4.
-454 + 1650*sqrt(17)
Simplify 4*(-3*-6*sqrt(8)/sqrt(2))/(sqrt(8)/(-1*sqrt(4)) + sqrt(2) + sqrt(2) + sqrt(32)*-1) + 0.
-24*sqrt(2)
Simplify -2*(sqrt(75) - (sqrt(75) + 2 + sqrt(75)))**2*-4 + sqrt(108)*3 + sqrt(108) + -2 + 2.
184*sqrt(3) + 632
Simplify 4*(-6*(1*sqrt(171) + sqrt(171) + -1 - sqrt(171)*-2*4))**2*-1.
-2462544 + 8640*sqrt(19)
Simplify 4 + (2 + sqrt(675) + sqrt(675) + -1 - (sqrt(108)/sqrt(4) + sqrt(27))**2*3*-1).
30*sqrt(3) + 329
Simplify -4*(((-4*(-1*sqrt(2736) - sqrt(2736)) - sqrt(2736)) + 1)**2 - (sqrt(1539) + -4 - 3*sqrt(171))**2).
-536196 - 672*sqrt(19)
Simplify ((sqrt(24)/sqrt(32) + (sqrt(144)/sqrt(6))/sqrt(8))*1)**2 + (sqrt(3) + sqrt(75)*-2 - (sqrt(300) + 2*sqrt(300))**2) + -4.
-10789/4 - 9*sqrt(3)
Simplify 0 + (-4*(sqrt(128)*-2 + -3 + sqrt(128)*-1 + 0))**2 + -4 + -2*-1*(2*sqrt(128))**2.
2304*sqrt(2) + 19596
Simplify (-2*sqrt(1539) + 2 - ((sqrt(1539) - (1 + sqrt(1539) + -4))**2 + sqrt(1539))) + 1 - (sqrt(57)/(sqrt(243)*2 + sqrt(243)) - (sqrt(475)*1*3)**2).
-730*sqrt(19)/27 + 4269
Simplify (-2*(sqrt(450)*1 + sqrt(450)) - -1*sqrt(450)*2)/((-1*-1*sqrt(80) + sqrt(80))/(sqrt(88)/(sqrt(11)*2))).
-3*sqrt(5)/2
Simplify (sqrt(968) + -1)**2*6 + (sqrt(24) - (sqrt(24) - -1*sqrt(600)))/(sqrt(12)*1*-2).
-523*sqrt(2)/2 + 5814
Simplify (((-2*sqrt(363) - sqrt(363))*3)/(sqrt(44) + sqrt(44)*1))/(sqrt(192)*-1 + sqrt(3)*-1*-2).
3*sqrt(11)/8
Simplify (sqrt(540)/sqrt(12) + -3 + sqrt(5)*-6 - (5 + (sqrt(245) - (sqrt(245)*-2 + sqrt(245) + sqrt(245))) + -4))**2.
80*sqrt(5) + 516
Simplify (((-3*(-1 + sqrt(171) + -5))**2 - (sqrt(171) + 1*sqrt(171)*-2 + -5)**2) + 4)*2.
-708*sqrt(19) + 3342
Simplify ((-6*sqrt(175)/sqrt(5)*-3*-5)/((1*sqrt(3500) + sqrt(35))/(-2*sqrt(245))))**2.
7938000/121
Simplify (1*(sqrt(18) + (sqrt(18) - sqrt(144)/sqrt(32)) + sqrt(18)))/(sqrt(36)/sqrt(1944)) + 4.
4 + 45*sqrt(3)
Simplify (1*(5*(sqrt(77) + -2*sqrt(77)) - (sqrt(77) + sqrt(77) + (sqrt(77) - 2*sqrt(77)*3)))*5)/((sqrt(784)*-3)/((sqrt(42)/sqrt(6) + sqrt(7) + sqrt(7))*5)).
25*sqrt(11)/2
Simplify (6*(sqrt(91)*2*6 - -2*sqrt(91)*3))/(((-1*sqrt(1764) - sqrt(1764)) + sqrt(1764))/(sqrt(28)/(sqrt(20)/sqrt(5)))).
-18*sqrt(13)
Simplify (sqrt(650) + -2*sqrt(650)*-3 + sqrt(650) + sqrt(650) + sqrt(650) + (sqrt(650) - (-3*sqrt(650)*2 - sqrt(650) - sqrt(650))))/(-3*-2*sqrt(18)*-5).
-19*sqrt(13)/18
Simplify 3*6*((-3*(0 + sqrt(75)))**2 + sqrt(162)/sqrt(6) + (sqrt(3) - (sqrt(3)*1 + 1))**2)*-4.
-48672 - 216*sqrt(3)
Simplify (2*(-2 + sqrt(7)) + (sqrt(7) - (sqrt(7) + 1*sqrt(700))**2))*-5 - (((sqrt(70) - sqrt(70)*2)*-3)/(1*sqrt(40)))**2.
-15*sqrt(7) + 16957/4
Simplify (-6*(sqrt(171) + sqrt(171)*-3 + sqrt(171))*-1*-5)/(-2*(sqrt(900) + sqrt(900)*-1) - 2*sqrt(900)*5).
-3*sqrt(19)/10
Simplify 2 + -6*(-2*sqrt(1372)*-3*3 + 3*(sqrt(1372) + 0) + 3 + 1)**2.
-3630406 - 14112*sqrt(7)
Simplify (5 + ((sqrt(1700) - (sqrt(1700) + sqrt(1700)*1 + -2 + sqrt(1700))) + sqrt(1700) - (sqrt(1700)*2 + -3 + sqrt(1700))) + -1*(3 + -2*sqrt(1700))*6)**2.
-1280*sqrt(17) + 108864
Simplify (2 + -1*(-1 + sqrt(425) - sqrt(425)) - (1*sqrt(272) + sqrt(17) + 3 + 0 + sqrt(17)))**2.
612
Simplify 1 + ((sqrt(99) - (sqrt(99)*3 + sqrt(99))*1 - (sqrt(99) + sqrt(99)*-1*2))/(sqrt(108)/(sqrt(3) + sqrt(9)/(sqrt(15)/sqrt(5)) + sqrt(3))))**2.
100
Simplify -4*((-3*(5 + -1*sqrt(80)))**2 + sqrt(50)/sqrt(10) + 2 + sqrt(605) + -4).
-3772 + 1392*sqrt(5)
Simplify (1 + (-2*(sqrt(784)*3 - (sqrt(1225) + sqrt(1225)*2 + sqrt(1225))))/(((sqrt(504) + sqrt(504)*2)/sqrt(12))/(2*sqrt(12)/sqrt(2))))**2.
64*sqrt(7)/3 + 7177/9
Simplify ((-4*sqrt(200) + 2 - (-5*sqrt(200)*1 - sqrt(200)))*-1*6)**2*-4.
-115776 - 11520*sqrt(2)
Simplify ((2*sqrt(128) + -5)*-2*-1 - (-5 + sqrt(128)*-4 | {
"pile_set_name": "DM Mathematics"
} |
))*-5 + sqrt(208))**2).
-65*sqrt(13) + 243
Simplify ((sqrt(209) + (sqrt(209) - (sqrt(209) + 1*sqrt(209)*4)) + sqrt(209) + sqrt(209))/sqrt(11))**2 + 1*sqrt(1900) + -1.
18 + 10*sqrt(19)
Simplify -5*(-5*(5*3*sqrt(684) - (sqrt(684) - (-1 + sqrt(684) + sqrt(684) + 1*sqrt(684) + sqrt(684)))))**2.
-27702125 + 27000*sqrt(19)
Simplify (2*(2*sqrt(152))/sqrt(8) - (sqrt(133) - (sqrt(133) + sqrt(133) + sqrt(133) + sqrt(133)*1*3))/sqrt(7))**2.
1539
Simplify (-3 + -2 + 1*sqrt(272)*2)**2*5.
-400*sqrt(17) + 5565
Simplify -5 + (sqrt(17) - sqrt(272)) - (-1 + sqrt(425)) - sqrt(187)/((sqrt(121) + (sqrt(121)*-3 - sqrt(121)))/sqrt(11)).
-23*sqrt(17)/3 - 4
Simplify (-1*sqrt(78)*-4*-5)/(sqrt(726) - -2*sqrt(726)*6).
-20*sqrt(13)/143
Simplify -4 + (0 + (sqrt(396) - (-1*sqrt(396) - sqrt(396))))**2 - (-2 + -4 + 2*sqrt(396) + sqrt(396) + sqrt(396))**2.
-2812 + 288*sqrt(11)
Simplify (sqrt(243)/sqrt(9))/sqrt(9)*-2*6*-5.
60*sqrt(3)
Simplify 1*((sqrt(6) + (sqrt(6) - sqrt(216)/sqrt(4)))/(sqrt(18)*2))**2*-5.
-5/12
Simplify ((sqrt(66) - (sqrt(66) + (sqrt(66) - (sqrt(66) + sqrt(66) + -2*(sqrt(66) - sqrt(66)*1)))))/sqrt(3))/(-1*(sqrt(121)/(3*sqrt(11)) + sqrt(11))).
-3*sqrt(2)/4
Simplify -2*sqrt(10)/sqrt(2) + 4 + -2*sqrt(405) + 0.
-20*sqrt(5) + 4
Simplify (sqrt(2662)*-1)/sqrt(2) - (sqrt(121) - (2*(sqrt(121)*-1 + sqrt(121)) - sqrt(121) - sqrt(121)))/sqrt(11).
-14*sqrt(11)
Simplify (-4*(sqrt(68)/sqrt(4) + sqrt(17)) + -4 + (sqrt(17) - (2 + sqrt(17))) + (4*sqrt(204)*4)/sqrt(12))**2.
-96*sqrt(17) + 1124
Simplify 2*(sqrt(152)*-2*-1)/(sqrt(392) + (sqrt(392) - sqrt(392)*2) - sqrt(392)).
-4*sqrt(19)/7
Simplify -3 + ((sqrt(539)*4 + 0)*1)**2.
8621
Simplify -5*(sqrt(42)/sqrt(6)*5 - (sqrt(875)/sqrt(5))**2).
-25*sqrt(7) + 875
Simplify ((1*((sqrt(612) - sqrt(17)) + 1) + (2 + 4*sqrt(17))*6)*-1)**2.
754*sqrt(17) + 14466
Simplify 6*((sqrt(242) - (-2*(sqrt(242) + (sqrt(242) - sqrt(242)*-1)))**2) + sqrt(242) + (sqrt(242) + sqrt(242)*3)*-3).
-52272 - 660*sqrt(2)
Simplify (-5 + sqrt(40)/sqrt(5) - (2*(2 + sqrt(200)) + sqrt(200)))**2.
504*sqrt(2) + 1649
Simplify ((-2*(sqrt(432) + 1) - sqrt(432)) + sqrt(432))**2*4 - (sqrt(432) + -1*sqrt(432) + 3 + 5).
384*sqrt(3) + 6920
Simplify (-6*(3*sqrt(2057)*-2 - sqrt(2057)) + 4 + 5)**2*-5.
-18143145 - 41580*sqrt(17)
Simplify (0 + (0 + sqrt(720))*-2 - 1*sqrt(720)*-2)**2.
0
Simplify -4 + ((-1 + 2*sqrt(2) + (sqrt(288) - (sqrt(288) - (1 + sqrt(288)))))**2 - ((sqrt(10) - (sqrt(10) - sqrt(40)/sqrt(4)*-3))/sqrt(5))**2).
370
Simplify (((sqrt(175) - (-2 + sqrt(175))*-5) + 4*(sqrt(175) + 0))*-4)**2.
-16000*sqrt(7) + 281600
Simplify (sqrt(153)/(2*sqrt(576)) - (sqrt(153) + (sqrt(153) - sqrt(153)*1*2))/sqrt(9)) + 0.
sqrt(17)/16
Simplify sqrt(304) + sqrt(304) + (-1 + sqrt(304)*-3)**2 - ((sqrt(152) + sqrt(152)*-3)/sqrt(8) + -5).
34*sqrt(19) + 2742
Simplify sqrt(13) + -6*(sqrt(13) + sqrt(1300))**2 + 0 - sqrt(156)/(sqrt(72)/sqrt(486)).
-9438 - 8*sqrt(13)
Simplify (-3 + (-2*sqrt(224))/(sqrt(968)*1))**2.
24*sqrt(7)/11 + 1201/121
Simplify ((sqrt(26) - (sqrt(2600)*5 + sqrt(26)))/sqrt(2) + 2 + sqrt(13) + 4*sqrt(13) + -1)**2.
-90*sqrt(13) + 26326
Simplify (((sqrt(1377) + 1)*5*6 + 4)*-4)**2.
293760*sqrt(17) + 19847296
Simplify (sqrt(156)*-5)/((sqrt(189)/sqrt(7) - sqrt(27))/sqrt(9) + sqrt(3))*-2.
20*sqrt(13)
Simplify 6*6*(-2*sqrt(91))/sqrt(7)*-4.
288*sqrt(13)
Simplify (-4 + 3*(sqrt(44) + sqrt(11)) + sqrt(11) + sqrt(11) + 4 + sqrt(11)*-1)**2 + ((sqrt(22) - sqrt(22)*-1)*-5)/(sqrt(2) - (sqrt(72)/sqrt(4) + sqrt(2))).
10*sqrt(11)/3 + 1100
Simplify (-2*(sqrt(84)*-1)/sqrt(4))/((sqrt(192)/(sqrt(24)/sqrt(3)))/sqrt(8)).
2*sqrt(7)
Simplify 3 + -2*(sqrt(95)/(sqrt(15)/sqrt(3)) + sqrt(19))*5.
-20*sqrt(19) + 3
Simplify -2 + (sqrt(22)/(sqrt(8)/(sqrt(12)/sqrt(3))) + 2*sqrt(11)*-1*-1)**2.
97
Simplify 5*((1 + (sqrt(128) - 2*sqrt(128)))**2 + sqrt(128) + sqrt(128) + 3 + 4).
680
Simplify (1*1*sqrt(891)*6*-5)**2*-3.
-2405700
Simplify (sqrt(52)/sqrt(72))/(sqrt(2) - (sqrt(128) + sqrt(128)*5)).
-sqrt(13)/282
Simplify ((sqrt(240) - -2*sqrt(240))/sqrt(10) + -2*sqrt(864))/((sqrt(72) - sqrt(72)*3)*3 + sqrt(72)).
3*sqrt(3)/5
Simplify (-3*-2*sqrt(84)*-2)/((1*sqrt(120))/sqrt(10) + (sqrt(48) - -1*sqrt(48))).
-12*sqrt(7)/5
Simplify ((sqrt(448) - (sqrt(448) + sqrt(448)*-2 + sqrt(448) + sqrt(448) + sqrt(448))) + 1 - (1 + 2*sqrt(448)) - (sqrt(448) + -1 + 3 + 0))**2.
128*sqrt(7) + 7172
Simplify (2*-5*(sqrt(128) - (1 + sqrt(128) + (sqrt(128) - (sqrt(128) + 2)))))**2.
100
Simplify 2 + (-2 + sqrt(144)/sqrt(3) + sqrt(768) + 2)**2.
1202
Simplify -6*(-1*sqrt(425))**2 + sqrt(425) + (-2*sqrt(425)*2 + sqrt(425))**2 + (sqrt(425) + -5 + sqrt(425) + 3 + sqrt(425) + -5)**2.
-205*sqrt(17) + 5149
Simplify (sqrt(54)/(-1*sqrt(9)))/((sqrt(27)/sqrt(3))/sqrt(3)) + -5.
-5 - sqrt(2)
Simplify 2 + ((sqrt(55)/(sqrt(15)/sqrt(3)) - sqrt(11)) + (-2*sqrt(1584))**2)*-6*4.
-152062
Simplify -2 + (sqrt(44) + (sqrt(440)*-2 - sqrt(440) - sqrt(440))/sqrt(10))**2 - -4*(sqrt(44) - (sqrt(44) - sqrt(264)/sqrt(6))*-2).
8*sqrt(11) + 394
Simplify (sqrt(120)/(1*sqrt(45)))/((sqrt(12) + sqrt(300))*1*2).
sqrt(2)/36
Simplify ((-3*sqrt(2112) + sqrt(2112) - sqrt(2112))*-6)/((sqrt(275)*1 - sqrt(275) - sqrt(275))*2).
-72*sqrt(3)/5
Simplify (sqrt(80) + (-4 + sqrt(80)*3 - sqrt(80)) - (sqrt(80) + -1 + sqrt(80) + -1 + sqrt(80) - sqrt(80)))**2*-5.
-420 + 80*sqrt(5)
Simplify -1 + sqrt(891) + (1 + sqrt(891))**2 - (sqrt(704) + -2)*-4.
59*sqrt(11) + 883
Simplify (sqrt(1872)*-2)/(sqrt(324) + (sqrt(324)*-2 - sqrt(324)) + sqrt(324)) + 2.
2 + 4*sqrt(13)/3
Simplify (-4 + sqrt(1573) + sqrt(1573) + 1 - ((sqrt(1573)*2 + sqrt(1573))*-5 - sqrt(1573)))**2.
-1188*sqrt(13) + 509661
Simplify (sqrt(392)/(2*sqrt(7)) - (sqrt(56)*-2*1 - sqrt(56)))/(6*sqrt(8)*-3*5).
-7*sqrt(7)/180
Simplify (-3 + (sqrt(363) - (sqrt(363) + -1 + -2)))**2 - (6*(0 + sqrt(363))**2 + (sqrt(363) - (sqrt(363) + -1 + -1))).
-2180
Simplify (1*(sqrt(192) + 4) - sqrt(192))**2 + -4 + 5*(-3 + sqrt(3)).
-3 + 5*sqrt(3)
Simplify 6*(-3 + -2*(-2 + sqrt(432))).
-144*sqrt(3) + 6
Simplify -2 + (-2 + -5 + -1*sqrt(68))**2*1.
115 + 28*sqrt(17)
Simplify -2*((sqrt(15)/(sqrt(5)*-2 - sqrt(5)) - (sqrt(3) - ((sqrt(30)*3)/sqrt(10))**2)) + -1).
-52 + 8*sqrt(3)/3
Simplify -3*(0 + (sqrt(5) + -1 - sqrt(5)) + (sqrt(5) - (sqrt(5) - (sqrt(5) + (sqrt(5) + sqrt(5)*2)*-3)))).
3 + 24*sqrt(5)
Simplify (sqrt(17) - (sqrt(170) - sqrt(170)*3)/sqrt(10))**2 - (sqrt(17) - (-2 + (sqrt(119)/sqrt(7) - sqrt(17)))) - (2*(sqrt(17) + -3)**2 + -1*sqrt(833)).
18*sqrt(17) + 99
Simplify ((sqrt(468) + -1)*3 - (sqrt(468) - -1*sqrt(468) - sqrt(468) - sqrt(468))*1)**2 + -1.
-108*sqrt(13) + 4220
Simplify (5 + -3*-1*sqrt(1088) + 3 + -1)*-4.
-96*sqrt(17) - 28
Simplify (((sqrt(112) - sqrt(7)) + -1)**2 - sqrt(70)/(sqrt(40)/sqrt(4))) + -3*(sqrt(7) - (sqrt(7) - (-1*sqrt(28))**2)).
-20 - 7*sqrt(7)
Simplify (-1*sqrt(1500)*-4)/(sqrt(30)/(sqrt(1440)*-1 + sqrt(10)))*-1.
440*sqrt(5)
Simplify (-1 + (sqrt(85)/(sqrt(35)/(sqrt(42)/sqrt(6))) - ((sqrt(1377)*3 - sqrt(1377)) + -2)))**2.
-34*sqrt(17) + 4914
Simplify (4 + sqrt(704)*2*-1)**2*4.
-512*sqrt(11) + 11328
Simplify (4 + sqrt(72) + -3 + sqrt(72) + 4 + sqrt(72)*3 + 3)**2.
480*sqrt(2) + 1864
Simplify (((sqrt(468) - (4 + -2*sqrt(468))) + 1)*3)**2.
-972*sqrt(13) + 37989
Simplify 1*((-5*3*(sqrt(65) + sqrt(65) + -1*sqrt(65) - sqrt(65)))/(sqrt(5) - sqrt(40)/sqrt(2) - (sqrt(5) - (-1*sqrt(20)/sqrt(4) - sqrt(5)))))**2.
0
Simplify (((1*sqrt(171)*-1 + sqrt(171) - sqrt(171)) + sqrt(171) - (sqrt(171) + sqrt(171)*-1*1))/(sqrt(90)/sqrt(90) - (sqrt(9) - 2*sqrt(9)*1)))**2.
0
Simplify (6*(sqrt(500) - (sqrt(500) - (sqrt(500) - (-4 + sqrt(500) + 2) - sqrt(500))))*-2)**2.
-5760*sqrt(5) + 72576
Simplify 0 + (5*1*sqrt(76) - sqrt(76))**2 + 2 + 0 + 3.
1221
Simplify (-1 + sqrt(833) + 1 + 4 - 4*(1 + sqrt(833))*4)**2 + 0.
2520*sqrt(17) + 187569
Simplify sqrt(15)/(sqrt(10)/sqrt(2)*4 + sqrt(5)) + sqrt(21)/(3*sqrt(21)/sqrt(3)).
8*sqrt(3)/15
Simplify (((sqrt(405)*-2 + -5)*1 - (4 + 1 + sqrt(405) + sqrt(405) + sqrt(405) - sqrt(405)*-2*4))*2)**2.
9360*sqrt(5) + 274180
Simplify 5 + 6*(sqrt(500)*-1)**2 + 1.
3006
Simplify 5 + 4*(sqrt(48) + sqrt(240)/sqrt(5))*-3.
-96*sqrt(3) + 5
Simplify ((3 + sqrt(128) + sqrt(16)/sqrt(128) + 2)*-3)**2.
1485*sqrt(2)/2 + 11601/8
Simplify (sqrt(1250) + sqrt(1250)*-4 - sqrt(1250))/(2*sqrt(10)*4).
-5*sqrt(5)/2
Simplify (sqrt(315) - (1*sqrt(315) - sqrt(315))*5 - | {
"pile_set_name": "DM Mathematics"
} |
to the nearest one thousand.
6000
Let t = 6176 + -6176.02829. What is t rounded to two dps?
-0.03
Suppose 201593580 = 4*n + 5*k, -k + 44068041 = 2*n - 56728749. Suppose 0 = -i - 2*i + n. Suppose -3*t + 6300535 + i = 0. Round t to the nearest one million.
8000000
Suppose 4*m - 1 = 3, 2*m - 8 = -3*f. Suppose 4*r + 3*s = -3733 + 12021, f*r - s = 4154. Suppose -4*w + 6555 - r = 0. Round w to the nearest 100.
1100
Let h = -42.34 - -42. Let b = h - -0.339986. What is b rounded to 5 decimal places?
-0.00001
Let d = 3929.988 - 3941. Let r = -11 - d. Let w = -0.0120086 + r. Round w to 6 dps.
-0.000009
Let v = 52.88 - 53. Let u = v - -0.120045. Round u to five decimal places.
0.00005
Let d = -138 - -137.998125. Round d to five dps.
-0.00188
Let z = 206 - 205.9999992. What is z rounded to 7 decimal places?
0.0000008
Suppose 44*b = 52*b + 2760. Round b to the nearest ten.
-350
Suppose 4*b = 5*b - 163. Suppose 3*p = -4*l - l + 423, 2*l = 5*p + b. Suppose -3*a = -5*y - 5*a - l, 0 = y + 3*a + 9. What is y rounded to the nearest ten?
-20
Let i = -1.4 + 1.4. Let k = 0.9 - i. Let l = k + -0.90002. Round l to five dps.
-0.00002
Let q be (-67 + -3)/(8/(-800)). What is q rounded to the nearest 1000?
7000
Let f be -920999*1 + (-28 - -27). Round f to the nearest one hundred thousand.
-900000
Let q = -149.69999469 + 149.7. Round q to six decimal places.
0.000005
Let r = -15 - -30. Let u = r - 13.5. Let y = -1.49905 + u. Round y to four dps.
0.001
Let d(z) = 3110*z - 5. Let a be d(7). Let y be (a/(-9))/((-2)/(-6)). Let v be (-5 + y)*(-5)/(-3). Round v to the nearest 1000.
-12000
Let j = -880.0846 - -880. Round j to 3 dps.
-0.085
Let k(m) = -5976*m**2 + 7*m + 7. Let v be k(-7). Let p = v - 4407134. Round p to the nearest one million.
-5000000
Suppose -16*r - 45265 = -5*h - 11*r, 3*h = -5*r + 27135. Round h to the nearest one hundred.
9100
Let a = 0.22 + 9.78. Let v = a - 26. Let t = 17.8 + v. Round t to 1 decimal place.
1.8
Let f = -143 - -142.9758. What is f rounded to two dps?
-0.02
Let c = 3 + -4. Let i = c + 6. Suppose -i*z = -0*z - 220000. Round z to the nearest ten thousand.
40000
Let h = -184.67 - -194.5. Let s = h - 9.7807. Round s to 3 dps.
0.049
Let k = 12813932211 + -12813933108.0000777. Let y = -897 - k. Round y to 5 decimal places.
0.00008
Let m = -11.038189 - -10.09811. Let g = 0.79 + 0.15. Let y = g + m. What is y rounded to five dps?
-0.00008
Let q = 108.8 - 108.80007928. What is q rounded to 5 decimal places?
-0.00008
Let y = -16653 - -15882.7. Round y to the nearest ten.
-770
Suppose -4*o + 5*u - 15 = 13, 0 = 3*o + 3*u + 48. Let i = -8 - o. Suppose -w + 4*w = i*s + 14843, -2*w + 3712 = -s. Round s to the nearest one hundred.
-3700
Let i(v) = -2*v - 1. Let z be i(-3). Suppose 2*s - 21185 - 9027 = 3*b, -75480 = -5*s - z*b. Round s to the nearest 1000.
15000
Let j(x) = 44*x + 10 - 5*x**2 + 49*x - 101*x. Let w be j(5). What is w rounded to the nearest ten?
-160
Let r = 19043 - 61859. Let j be r*(-4)/(-12)*-202. Suppose 3*a + j + 1917068 = b, 0 = 2*a + 8. Round b to the nearest 1000000.
5000000
Let w = 267.7906 - 268. Let m = 45.79 - 46. Let a = m - w. Round a to four dps.
-0.0006
Let h = -45493520008874 + 45493504812176.9200178. Let x = -15196695 - h. Let j = x - 2.08. What is j rounded to six decimal places?
-0.000018
Let b(z) = 28311*z**2 - 4*z + 8. Let u be b(-4). What is u rounded to the nearest 10000?
450000
Let d = -1291 + 2157. Let a = -865.633 + d. Round a to 2 decimal places.
0.37
Let b = -5476.997281 + 5477. What is b rounded to 4 dps?
0.0027
Let c = 10138 + 4492. Round c to the nearest one thousand.
15000
Let t = 78.1000331 - 78.1. What is t rounded to five decimal places?
0.00003
Let r be (20/(-3))/((-16)/(-180240)). What is r rounded to the nearest 1000?
-75000
Let g = 99798.561 + -90435.82213. Let x = -8936.738599 + g. Let t = x - 426. What is t rounded to five dps?
0.00027
Let g = -890 + 845.28. Let u = g - -40.1. What is u rounded to zero dps?
-5
Let i = 4.1 - 3.99. Let m = 21601.91 - 21602.02000036. Let g = m + i. What is g rounded to 7 decimal places?
-0.0000004
Let s = -0.21 + 0.210045. What is s rounded to six decimal places?
0.000045
Let b = 345621 + -345611.50085. Let c = b - 9.5. Round c to four decimal places.
-0.0009
Let v = -0.342 + -305.458. Round v to the nearest ten.
-310
Let m = -80.2026 + 80.3. What is m rounded to two dps?
0.1
Let b = 20.6 - 10.95. Let m = b - 10. Let v = -0.01 - m. What is v rounded to 1 decimal place?
0.3
Suppose 0 = 4*c + 3*r - 35 - 70, -4*c = r - 99. Let j = 139 + -127. Let y be (c/18)/(2/j). What is y rounded to the nearest ten?
10
Suppose -5*o + 6*o = 5, -5*a - 77399975 = 5*o. Round a to the nearest one hundred thousand.
-15500000
Suppose 2*q = 5*l - l - 14198, -5*q - 3545 = -l. Round l to the nearest one hundred.
3600
Let n be -5 - (6237/(-3) + 6). Round n to the nearest 100.
2100
Let k = -146437 + 146448.0017. Let f = -14 + 3. Let o = f + k. Round o to three dps.
0.002
Let d(y) = 116*y**2 - 49*y - 235. Let b be d(-71). Round b to the nearest 10000.
590000
Let w = -6.09 - -6. Let c = w + 0.02. Let b = -3.33 + c. What is b rounded to the nearest integer?
-3
Let i = -3 + 6. Suppose -i*z = 4*n - 14, -z + 2*z = n. Suppose -n*p - 4188900 = -1628900. Round p to the nearest 100000.
-1300000
Let h = 0.6 + -85.6. Let y = -80.7 - h. Let d = -4.164 + y. What is d rounded to two decimal places?
0.14
Let r = -3 - -8. Suppose 6*l - 1220 = r*l. Round l to the nearest one hundred.
1200
Let h = -4630.006506 - -4630. What is h rounded to 3 decimal places?
-0.007
Let v = 1 - -11.3. Let j = v - 12.2999891. Round j to 6 decimal places.
0.000011
Let p = -27025 - -27063.254. Let v = 0.046 + p. What is v rounded to the nearest ten?
40
Let a(r) = 6155*r**2 - 9*r + 58. Let j be a(-58). Round j to the nearest one hundred thousand.
20700000
Let w(x) = x**2 - x + 3. Let h be 2/12 - (-4)/(-24). Let u be w(h). Let b(l) = -7779*l**2 + 2*l + 5. Let p be b(u). What is p rounded to the nearest 100000?
-100000
Let y = -1 + 4. Let a be (4/y)/((-3)/9). Let b be (-125000)/(-1 - 2 - a). What is b rounded to the nearest ten thousand?
-130000
Let m = 33767 - 32787.99. Let b = 979.349987 - m. Let f = b + -0.34. What is f rounded to five decimal places?
-0.00001
Let g = 0 - 9. Let z be 10*1395*2400/g. Round z to the nearest 100000.
-3700000
Let c = -11 - -16. Suppose l = 3*r - 6012, 5*l + c*r = -19978 - 10002. Round l to the nearest 1000.
-6000
Let o = -0.8 - 199.2. Let l = -199.813 - o. What is l rounded to two decimal places?
0.19
Let b = 21.85 + -21.8499992965. Round b to seven decimal places.
0.0000007
Let d be (-4)/(-10) + 69126/20*-8. Round d to the nearest one thousand.
-28000
Let o = 3.44 + -16.24. What is o rounded to 0 dps?
-13
Let c = -191197223.59999865 + 191197217. Let h = 22 - 15.4. Let v = h + c. Round v to 7 decimal places.
0.0000014
Let y = -20933.9790128 - -20934. Let j = y - 0.021. Round j to six dps.
-0.000013
Let b = 0.105 - 0.204. Round b to 1 dp.
-0.1
Suppose -16 = 5*j - 11. Let d be ((-471)/9 + j)*(-9375)/(-2). Round d to the nearest ten thousand.
-250000
Let x = -1201.28 - -1176. Let a = x + 26. Round a to one decimal place.
0.7
Let w be ((-352)/24)/(8/636). Round w to the nearest one hundred.
-1200
Let q = -9 + 11. Suppose 2*n - 12 = -u, q*u = 6*u - 4*n + 12. Suppose u*x + 86 = x. Round x to the nearest ten.
-90
Let u = 66.7 + -7.7. Let q = u - 59.00000032. What is q rounded to 7 dps?
-0.0000003
Let k = 370 - 369.999999093. Round k to 7 decimal places.
0.0000009
Suppose -2*a = 5*l - 1792, -4*a + 2*l + 2707 = -a. Let b = -225 - a. Let v = b + 3126. Round v to the nearest 100.
2000
Suppose 0*x - x + 3*g + 160909 = 0, -g = 2*x - 321790. Suppose 0 = -c - 0 + 2. Suppose x = -c*p - 1639103. What is p rounded to the nearest one million?
-1000000
Suppose 819 = 3*f - 3969. Let q be 1206/(-2 - f/(-796)). Suppose -719994 = -3*l + 3*r, 4*r = l + r - q. What is l rounded to the nearest one hundred thousand?
200000
Let y = 11.288 + -0.188. Let c = -11.011 + y. Round c to 2 dps.
0.09
Let g = -150042 - -84894. Let v = g - -122048. What is v rounded to the nearest one thousand?
57000
Let r = 520 + -519.433. Let m = -0.57 + r. What is m rounded to 4 decimal places?
-0.003
Let c = 32033 - 2873. Suppose -36*k + 2631422 + 2450338 = 0 | {
"pile_set_name": "DM Mathematics"
} |
inder when 7 is divided by u?
3
Suppose 3*l - 88 = 254. Suppose 5*g - 2*g - l = 0. What is the remainder when g is divided by (-79)/(-6) + (-2)/12?
12
Let y(x) = -x**2 - 9*x + 5. Suppose 0 = -5*h - 4*g + 2 + 2, -g + 1 = 2*h. Suppose -3*u = -h - 21. Calculate the remainder when y(-7) is divided by u.
5
Suppose -112 - 36 = -2*d. What is the remainder when d is divided by 15?
14
Calculate the remainder when 23 is divided by (-5)/(-2)*(-14 + 20).
8
What is the remainder when (-28 + 12)*3/(-4) is divided by 7?
5
Let d(l) be the second derivative of -l**5/4 + l**4/6 + l**3/6 + l**2 - 2*l. Let i be d(2). Let k = i - -60. Calculate the remainder when k is divided by 11.
10
What is the remainder when 35 is divided by ((-234)/(-27))/(8/3 - 2)?
9
Let l(b) = -b**2 - 9*b - 9. What is the remainder when 14 is divided by l(-7)?
4
Let b = 2 - 0. Suppose -3 = -b*p + 23. Calculate the remainder when 38 is divided by p.
12
Let u(h) = -2*h + 2. Let c be u(-1). Suppose 2*x - 25 = -c*g + 39, 3*g - 12 = 0. What is the remainder when 95 is divided by x?
23
Let m = 17 - 11. What is the remainder when 29 is divided by m?
5
Suppose -6*w + 4*w = -16. Calculate the remainder when 12 is divided by w.
4
Let m(i) = 17*i + 1 + 4*i - 3*i. Let l(f) = 2*f**2 + 5*f - 2. What is the remainder when m(1) is divided by l(-4)?
9
Calculate the remainder when (0 + (-10)/4)*-10 is divided by 7.
4
Suppose -v + 146 = -0*v. Suppose a + 48 = 2*g, a - 5*a = 5*g - v. Calculate the remainder when 76 is divided by g.
24
Let j be (-10)/(-6)*(5 + -2). Suppose -j*t = 5*w - 140, 2*w = 9*t - 4*t + 77. Calculate the remainder when w is divided by 11.
9
Suppose -g = -3*g + 28. What is the remainder when 26 is divided by g?
12
Suppose 17*x = 18*x - 36. Calculate the remainder when 139 is divided by x.
31
Let d(l) = -l - 7. Let o be d(6). Let s = o + 91. Suppose -s = -u - u + 5*v, v = 2*u - 94. What is the remainder when u is divided by 17?
15
Let s(r) = r**3 + 7*r**2 - 4*r - 5. What is the remainder when s(-7) is divided by 6?
5
Let m = -31 + 54. Calculate the remainder when m is divided by 8.
7
Let o = 15 + -32. Let u = o - -30. What is the remainder when 23 is divided by u?
10
Let k(m) = m**2 + 2*m - 3. Let h be k(-3). Let z(t) = t**3 + t**2 - t + 7. Let y = -16 + 27. What is the remainder when y is divided by z(h)?
4
Let x(h) = -44*h + 1. Suppose -6*g - 5 = -g. Calculate the remainder when x(g) is divided by 23.
22
Suppose 106 = 3*x - 74. What is the remainder when x is divided by 18?
6
Suppose 2*b + 99 = 5*b. Let i = b - 21. Calculate the remainder when (-17)/(-1 - 2/(-4)) is divided by i.
10
Let k be (-2)/(-3) - 30/(-9). Let q be (18/k)/((-5)/10). What is the remainder when (q - -7)/(2/(-38)) is divided by 10?
8
Let l be (-1)/6 - 95/(-30). Suppose -d - 4*d = -l*b - 48, -3*d + 40 = b. Calculate the remainder when 34 is divided by d.
10
What is the remainder when 8/52 + (-802)/(-26) is divided by 12?
7
Let y = -6 + 16. Calculate the remainder when y is divided by 6.
4
Let c = 36 + 7. Calculate the remainder when 168 is divided by c.
39
Let u be (6/(-4))/((-39)/104). Suppose 2*l = u*v + 28, v + 8 = 4*l + 5*v. Calculate the remainder when 17 is divided by l.
5
Let j = -21 - -37. Let x(m) = -m**2 + 1. Let a be x(-2). Let i = 6 - a. What is the remainder when j is divided by i?
7
Suppose r + 4*m + 8 = 0, 0 = -3*m + 8*m + 15. Calculate the remainder when 42 is divided by (54 - 2)/r - -2.
12
Let g = -1 - -1. Suppose 0*u - 4*u + 8 = g. Suppose 2*s = 3*b + 72, 7*s - 4*b = u*s + 180. What is the remainder when s is divided by 19?
17
Suppose 5*c - 10 - 5 = 0. Suppose -c*l = -3 - 30. Calculate the remainder when 20 is divided by l.
9
Suppose -c + 0*c + 3 = 0. Suppose 0 = c*l, -55 + 1 = 2*m + 3*l. What is the remainder when 41 is divided by (-384)/m - (-4)/(-18)?
13
Calculate the remainder when 28/(-98) + (-326)/(-14) is divided by 6.
5
Let b = -18 + 26. Let y(q) = q**2 - 2*q + 5. What is the remainder when y(4) is divided by b + (1 - 1 - 1)?
6
Suppose z + 28 = -z. Let a = -12 - z. What is the remainder when a is divided by 1?
0
Let s(t) = -t**3 + 4*t**2 + t - 1. Suppose -2*d + 4 = -d. Suppose -8*l + 16 = -d*l. What is the remainder when s(l) is divided by 2?
1
Suppose -2*g = 0, -2*q - 5*g - 2 = -3*g. Let y(b) = 3*b**2 + 1 + b + b**2 + b**2. What is the remainder when 14 is divided by y(q)?
4
Suppose -o - 2*o + 4*w = -101, -5*o - 5*w = -145. Calculate the remainder when o is divided by 17.
14
Let q(v) = v**2 - 6*v - 9. Let f be q(7). What is the remainder when 12 is divided by (0 + f)/(4/(-14))?
5
Let g = 8 + 5. What is the remainder when 50 is divided by g?
11
Suppose -2*k + 110 = -2*z, -k + 42 + 13 = -5*z. What is the remainder when 109 is divided by k?
54
Suppose 4*l - 65 = -9. Calculate the remainder when 65 is divided by l.
9
Suppose 5*k - 298 - 12 = -5*l, k - 3*l = 78. What is the remainder when k is divided by 17?
15
Let g = 21 + -20. Suppose -5*u + u + 28 = -4*b, u - 3*b - g = 0. Calculate the remainder when 36 is divided by u.
6
Let i = 7 + 8. What is the remainder when 57 is divided by i?
12
Let s = -40 - -53. What is the remainder when s is divided by 7?
6
Suppose 0 = 15*i - 3*i - 240. Calculate the remainder when i is divided by 6.
2
Suppose -o = -7 - 15. Calculate the remainder when ((-33)/o)/((-6)/28) is divided by 5.
2
Let y(k) = -5*k - 2*k + 2*k - 8 + 4*k. What is the remainder when 4 is divided by y(-10)?
0
Let s be ((-4)/5)/((-2)/10). Suppose 5*m + 2 = s*r, -2*r - r = 3*m - 15. What is the remainder when 65 is divided by 1*(88/2)/m?
21
Let q(u) = 6*u - 14. Let t be ((-8)/(-3))/(4/6). What is the remainder when 27 is divided by q(t)?
7
Suppose -s = 3*s - 60. Let m(f) = -6*f + 27. Calculate the remainder when m(-10) is divided by s.
12
Let b(s) = -s**3 - 4*s**2 - s - 1. Let d be b(-4). Suppose 0*m - 30 = -d*m. Suppose 7*z - 81 = 115. What is the remainder when z is divided by m?
8
Suppose 4*b - 19 - 109 = 0. Suppose -2*p = 3*p + 30. Let m(n) = -3*n - 7. What is the remainder when b is divided by m(p)?
10
Suppose -4*j + 2*j - 5*c + 3 = 0, j = -3*c + 1. Calculate the remainder when j is divided by 2.
0
Suppose -22 = 2*z - 2*j, 5*j = -5*z + 1 - 26. Let h = z + 18. What is the remainder when 28 is divided by h?
8
Let z(i) = -2*i + 2. Let m be z(-6). Let l = 33 - m. What is the remainder when 73 is divided by l?
16
What is the remainder when 3000/44 + (-4)/22 is divided by 35?
33
Let c = 3 - -6. What is the remainder when (-2)/c - (-40)/18 is divided by 1?
0
Let n be ((-9)/6)/3*-2. Calculate the remainder when (-2 - n) + -2 + 28 is divided by 13.
10
Suppose 0 = -2*k - k + 18. Suppose -5*b - 8 = -23. Calculate the remainder when k is divided by b.
0
Suppose -18*y + 8*y + 60 = 0. Calculate the remainder when 16 is divided by y.
4
Let h(l) = l**3 - 12*l**2 + 2*l. Calculate the remainder when 118 is divided by h(12).
22
Let r(i) = -7*i + 62. Let s(v) = v**2 + 2*v - 7. Calculate the remainder when r(-3) is divided by s(5).
27
Let f be (4 + (-3)/1)*0. Let o(v) = v - 9. Let x be o(f). Let i(t) = -4*t - 9. What is the remainder when i(x) is divided by 14?
13
Suppose 5*y - b - 229 = -3*b, -4*b = -4*y + 200. Calculate the remainder when y is divided by 16.
15
Suppose -5*d = o + o + 12, 0 = 5*d - 5*o + 40. Let c be -4*(-2)/d*6. Let v = c - -34. Calculate the remainder when 65 is divided by v.
21
Let r be 117/4*(-4 - -12). Suppose 5*v + 54 - r = 0. Suppose -u + 3*x + v = 0, 2*u - 4*x = -u + 118. What is the remainder when u is divided by 22?
20
Suppose 110*u + 104 = 123*u. What is the remainder when 30 - (0 + 2/(-2)) is divided by u?
7
Suppose -4*f - 17 = -2*g + 211, 0 = -5*g - 4*f + 514. Calculate the remainder when g is divided by 36.
34
Suppose -2*m = -6*m + 292. Suppose -2*g = -4*u + 74, -u + 24 - 4 = g. Calculate the remainder when m is divided by u.
16
Suppose -5*y = -95 - 95. Calculate the remainder when y is divided by (5/(-10))/(3/(-78)).
12
Let o(c) = -c**2 + 9*c - 2. Let k be o(8). Let v be 22/k - 1/(-3). Suppose 0 = v*b + 8 + 12, -b - 45 = -4*j. What is the remainder when j is divided by 4?
2
Let r = -27 + 59. Suppose -3*z - 2*y + 26 = -0*y, -4*z - 2*y = -r. What is the remainder when 11 is divided by z?
5
Let x = 2 - -3. What is the remainder when 14 is divided by x?
4
Let s(d) = d**3 - 7*d**2 + | {
"pile_set_name": "DM Mathematics"
} |
+ (-4 - (-2 - -1)). Solve 2*f + m*u + 3 = 12, -1 = -u for f.
3
Let l be 2 - ((4 - 4) + 4). Let y be 3/(-6)*l*(-5 - -8). Solve 4*o = -y*a - o + 8, -4*o + 4 = 0 for a.
1
Let x = -297 - -297. Solve 3*y + v - 3 = 0, -2*y - v + 0*v + 2 = x for y.
1
Suppose 546 - 537 = m. Solve 3*h = -p + h + 3, -3*p - 2*h = -m for p.
3
Suppose 2 = m - 2. Let x be 4/(-26) - (-965)/(-65). Let p be (0 - 10/x)*6. Solve 5*f + 0*f + p*z + 25 = 0, -m*f = -2*z + 20 for f.
-5
Let o(j) be the third derivative of j**4/24 + 19*j**3/6 - 16*j**2. Let k be o(-17). Solve 3 = -f - 4*i - 17, -3*f + k*i = 4 for f.
-4
Let o(y) = -y**2 + 11*y + 10. Let i be o(11). Suppose -i*v = -13*v + 15. Solve 4*p - p = -2*t - 12, -7 = -4*p + v*t for p.
-2
Let j = 9 + -9. Suppose 0 = t - j*t - 20. Solve g + 3 = m + 2, -5*g = t for m.
-3
Let z be (-2)/3*483/(-14). Solve 2*j - 19 = -2*j - 3*l, 0 = 2*j - 5*l + z for j.
1
Let c(s) = -19*s**2 - 2*s - 1. Let b be c(-1). Let t be ((-8)/6)/(6/b). Solve t*p = -3*w + 5, 2*w = 6*w + 20 for p.
5
Suppose -142 = -8*x - 126. Solve -3*l + 10 = -r - 6*l, r - x = l for r.
-1
Suppose 6*z = 4*z, 4*m = -4*z + 76. Let s be 3/5 - (-2)/5. Solve 0 = 5*l - 3*c + m, -4*c - s = 3*l - 7 for l.
-2
Let p(u) = 4*u**3 + 2*u**2 - 2*u + 1. Let d be p(1). Suppose 3*i = -2*x, 5*i + d = -5*x + 10. Suppose 3*c + x = 4*c. Solve -4*g = 4, 2*f = -0*f + g - c for f.
-2
Let v be (-8)/(-3) + 18/(-27). Let b be (-2 - -5)*(v - -1). Solve 0 = 3*g - 3*o - b, g + 7 = -4*o - 0 for g.
1
Let f(m) = -m**2 - 3*m - 6*m + 2 + m. Let p be f(-8). Let k be 6*p/((-6)/(-1)). Solve -2*q + 5*s - 3 = k*q, 0 = -s + 3 for q.
3
Let d be (-49)/28 - (-9)/12. Let b be 2/11 + ((-4)/22 - d). Let t = 4 + -1. Solve 2*u - t*x = -b, -4*u = x - 6 + 1 for u.
1
Let f(m) = m**3 - 7*m**2 - 8*m. Let d be f(8). Suppose 5*r + 6 - 11 = d. Solve -4*o = 3*l + r + 3, o = 3*l - 1 for l.
0
Let v be (-51)/3 + (-3 - -2). Let b = v - -20. Solve 2*j = 0, b*q - 4*j + 2 + 0 = 0 for q.
-1
Suppose -10 = -3*n - 4*v - 1, 0 = n - 4*v + 13. Let m be n/(5/(-170)*2). Solve -3*o + 1 = -h, -o - m = 3*h - 4 for o.
-1
Let c(a) be the third derivative of a**5/60 + 11*a**4/12 + 23*a**3/3 - 2*a**2. Let h be c(-21). Solve -j + 2*m = -9, 5*j - m = 4*m + h for j.
1
Let g = -749 - -753. Solve -y - 4*u = 17, u + 1 = g*y + 18 for y.
-5
Suppose -83 = 2*a - 0*a + 5*s, -5*s = -a - 4. Let y = 29 + a. Solve y = 5*c - 5*w - 10, c + 4 = -3*c - 2*w for c.
0
Let p be 3/8 + 3094/112. Solve 4*q = 5*z + 4 + p, -2*z = 4*q - 4 for q.
3
Let k(f) = -2*f**2 + 17*f - 11. Let y be k(7). Let q = 20 - 14. Let j be (1 - 1)/(q + -4). Solve 3*z - 20 = l - j, 5*z - y = -3*l for l.
-5
Let r = 28 + -22. Suppose p = -p + r. Suppose 4*h - 3 = 4*y - 31, -p*y + 26 = 2*h. Solve 4*q + 4*k = 16, 0*k - y = -q - 5*k for q.
3
Let m be (-73)/5 + 6/10. Let p = -9 - m. Suppose -5*j = -p*g - 35, 42 = 5*j + 5*g - 3*g. Solve -i + j = -2*d, -3*i + 9 = -4*d - 5 for i.
-2
Let p be (-3)/(-5) - (-561)/(-85). Let z(h) = -2*h - 7. Let i be z(p). Solve -i*k + 24 = -4*q, 2*q = -k - 2*q for k.
4
Let q = 779 - 774. Solve -q*z + r = -1, 16 = 3*r + 4 for z.
1
Suppose 89 = 8*q + 17. Solve 2*i + 15 = -3*i, 2*i = 3*c + q for c.
-5
Let b be (-16)/(-80) - (-64)/5. Suppose -2*j = -5*h + b, 6*h - 11 = -5*j + 4*h. Solve -5*g = -5*r, -2*g - 5*r = j - 15 for g.
2
Suppose t + t + 19 = 3*o, 0 = -3*t - 2*o + 4. Let x be t - (-1 + 4/(-4)). Solve -3*y - 6 = 4*d, 0 = -x*y - 2*y - 3*d - 5 for y.
2
Let w(c) = -6*c**2 + 31*c - 8. Let x(k) = k**2 - k + 1. Let n(p) = -w(p) - 5*x(p). Let m be n(26). Solve 0*o - o = 3*t - 13, m*o = -2*t + 4 for t.
5
Suppose -10 = -4*p - 2. Suppose -s = 4*b, -3*s + 7*b - 16 = 3*b. Let c be 1*(-1)/s*4. Solve 4*x - 4*t = 0, t - p = 2*x - c for x.
-1
Suppose 82*u = 672 + 66. Solve n - 6 = r, 5*n - u = -3*r + r for r.
-3
Let b(i) = 9*i + 82. Let d be b(-9). Solve 4*y - 13 = -u, 2*u + d = -u - 2*y for u.
-3
Suppose 0 = -4*k + 22 - 6. Suppose 2*d + 3*d - 12 = -l, -3*l + 4 = -d. Let v be -2*l/(-20) + (-1152)/(-90). Solve -o - k*t - 17 = 0, -t = 5*o - v + 41 for o.
-5
Let s = 132 - 130. Let y = -68 - -114. Let w = y - 33. Solve -s*l = -7*l + 10, -w = 3*a - 5*l for a.
-1
Let v(b) = -44*b - 216. Let f be v(-5). Solve -4 = 3*z + l, -6*l = f*z - 3*l - 3 for z.
-3
Let v = -688 - -693. Let h = -1 - -1. Solve -31 = 4*m - 5*w, -v*m - 5*w + 0 - 5 = h for m.
-4
Suppose 46 = 4*g + 6. Suppose 34 = 4*z + g. Let s(l) = -l**2 + 7*l - 2. Let j be s(z). Solve -9 = 3*i, 2*i = 2*k - j*k for k.
3
Let g = -133 - -75. Let x = g - -62. Solve -x*q - s + 16 = 3*s, 0 = 3*s - 3 for q.
3
Let n be (3 - 2 - 1)/(-1). Let k(j) = j**3 - j**2 + 5. Let y be k(n). Solve 4*w = -y*c + 7, 8*c = 4*c + 2*w - 10 for c.
-1
Let h(v) = -30*v - 5. Let l be h(-2). Let d = 77 - l. Let c = d + -17. Solve -2*a + 28 = -5*p - c*a, -5*p = -2*a + 23 for p.
-5
Suppose h - 5*h + 12 = 0. Let q be 1*(h - 1 - -1). Solve n - 3*u = -q, -4*n + 3 = 2*u + 1 for n.
0
Let x(m) = m**2 + m**2 - m - 2*m**2 + m**2. Let r be x(0). Let b be (-6 - -12) + -1 + 0. Solve 0 = w + b*u + 7, 0 = -r*u - u - 1 for w.
-2
Let m(j) = -j**2 - 4*j**2 + j + 4*j**2 - 19 - 12*j. Let l be m(-8). Solve -14 + 34 = 5*g - c, l*g = -2*c + 5 for g.
3
Let m = -159 + 169. Suppose h + m = -5*f, -h + 4*f - 3 = -4*h. Solve 4*o - d + 10 = 0, -23 = h*o + 2*d + 2*d for o.
-3
Suppose -m = 0, -3*t - 7 + 16 = -4*m. Let p(c) = 5*c - 7. Let o be p(t). Solve -2*h - o = 2*w - 28, 0 = 2*h - 3*w + 5 for h.
5
Suppose -5*f + 25 = 5*a, -3*f + 23 = 1904*a - 1905*a. Suppose -6*v = -4*v - 36. Solve -5*s - f + v = 4*k, 2*s + 5*k = 18 for s.
-1
Let l be (60/(-9))/10 + 142/6. Solve 5*m = -3 + l, -4*v + 28 = 3*m for v.
4
Let g = 720 - 716. Solve 4*u = -16, 2*f + g*u - 2 + 8 = 0 for f.
5
Let c = -1232 - -1238. Solve 3*a = 6*r - r + 9, 2*r = 2*a - c for r.
0
Let f(d) = d**2 - 154*d. Let q be f(0). Let j = 3 - 1. Solve q = m + j*r - r - 6, -5*m + 4*r = 15 for m.
1
Suppose -43 = -15*y + 62. Solve -20 = -4*c + 4*u, -5*u = 5*c + y - 2 for c.
2
Suppose 0 = -b - 7. Let r(y) = -y - 5. Let c be r(b). Let g(i) = 26*i + 55. Let p be g(-2). Solve x + 0*x - 5 = 0, -c*v - p*x + 25 = 0 for v.
5
Let l = 93 - 31. Suppose 7 = -3*b - l. Let o = 27 + b. Solve -4*x + 2*m = -o + 10, -15 = 4*x + m for x.
-3
Let p be ((-24)/18)/(5/(-15)). Solve 0 = 5*w + 5*h - 11 - p, -2*h = -w + 3 for w.
3
Let j be (-8)/(-6) - (-66)/18. Solve j*l + u - 2 = 0, 5*l = 5*u - 7 - 3 for l.
0
Let n(w) = w**3 + 3*w**2 - 2*w - 4. Suppose 0*r + 2*r = 4*d + 6, -2*r - 18 = 4*d. Let a be n(d). Solve -3*u + 10 = 2*b, -a*b - 2*b + 4*u = 0 for b.
2
Suppose 6*c = 2*c + 20. Suppose -q - 81 = -3*u - c*q, 2*u - 4*q - 34 = 0. Let j(h) = h**2 + 1. Let i be j(-2). Solve -3*p = -5*f + u, -5*f + i*p + 28 = 3 for f.
4
Let y(z) = -3*z + 49. Let s be y(16). Suppose n + 16 = -0*n + 4*w, 2*n + 2 = 2*w. Suppose n*c - 10 = 2. Solve -3*u = k - s, c*k - 3 = u - 0 for u.
0
Let r(q) = 6*q - 9. Let j be r(2). Suppose y + 18 = j*l, -2*y + 2 = l - y. Solve 2*u + 2*i - 13 + l = 0, 6 = 3*u - 3*i for u.
3
Let o = -21 - -37. Suppose -d + o = 12. Solve 2*c + 4 = -3*i + 23, 3*c - 27 = -d*i for c.
5
Let v(w) = -w**3 + 19*w**2 + 19*w + 22. Let q be v(20). Solve -6*c + 2*c - 2*o + 18 = 0, q*c - 3*o = 13 for c.
5
Let v = -951 + 956. Solve -8 = -2*b + 3*a, -5*b + 7*a = v*a - 20 for b.
4
Let i(g) = -3 + 3*g**2 + 2*g - 8 + 5 + 0*g**2. Let j be i(-3). Let n = -3 + 5. Solve -12 = -5*a + p + 3*p, -5*p = n*a + j for a.
0
Suppose -3*y + 9 - 3 = 0. Suppose 5 = j - y. Suppose -j*f = -8*f. Solve 4*m + c = -f*c - 3, m = -2*c - 6 for m.
0
Let x be (4 + 3/(-1))*0. Suppose -4*f = p + 3*p + 8, x = 5*p + f - 6. Solve 0 = r + c - 4*c + 5, -4 = 3*r + p*c for r.
-2
Let g be 10*(77/(-14) + 6). Solve -4*v + 2*v = -t - 10, -2*t - g = v for t.
-4
Let d = -50 - -54. Solve 6 = -2*k + 4*z, -5*k = -d*k - z for k.
3
Let o be -2*6*(-5)/(-60) - -6. Solve -o*g - 4*a + 26 = 2, -4*g = -4*a - 12 for g.
4
Suppose 30 = 3*o + 5*j, -2*o - 2*j + 26 = 2*o. Solve 2*q + q - 12 = 0, 2*t + 22 = o*q for t.
-1
Let i be 36/(-27) + 4/3*4. Solve -4*x - 26 = -i*t - 2*x, 14 = t - 3*x for t.
5
Suppose 3*i - 4*m = 5, 4*i - 15 = -0*m - 3*m. Let c be 4 - (9/(-3))/i. Solve 5*q + c = 5*z, -q - q - 3*z = 22 for q.
-5
Let i be ((-2)/3)/(-1*2/12). Suppose -5*f - 5 = 4*z - z, -2*z - i*f - 6 = 0. Solve a + 4*a = -z*l - 5, 3*l - 32 = 4*a for l.
4
Let c = -429 + 432. Solve -c*v + 4*n = | {
"pile_set_name": "DM Mathematics"
} |
ng 1 d and 1 m?
10/51
Calculate prob of picking 1 m, 1 w, and 1 s when three letters picked without replacement from ppwspmwwmp.
1/20
What is prob of picking 1 z, 2 t, and 1 c when four letters picked without replacement from {z: 4, f: 1, t: 2, c: 2, m: 5}?
8/1001
Calculate prob of picking 1 u and 1 f when two letters picked without replacement from ffffffffufu.
18/55
What is prob of picking 1 e, 1 m, and 1 n when three letters picked without replacement from {m: 1, e: 1, n: 1, y: 3, h: 1}?
1/35
Three letters picked without replacement from bjrbwwssbqbwsbb. What is prob of picking 1 j, 1 q, and 1 w?
3/455
Three letters picked without replacement from {f: 7, a: 9, r: 3}. What is prob of picking 1 f, 1 r, and 1 a?
63/323
Two letters picked without replacement from {w: 5, t: 8, u: 5, n: 1}. What is prob of picking 1 u and 1 w?
25/171
Two letters picked without replacement from {m: 2, o: 10, d: 4}. What is prob of picking 1 m and 1 d?
1/15
Three letters picked without replacement from {i: 2, b: 18}. What is prob of picking 3 b?
68/95
What is prob of picking 1 q, 1 p, and 1 k when three letters picked without replacement from gkbbvpqp?
1/28
Calculate prob of picking 3 z when three letters picked without replacement from zzqzzzzqqzq.
7/33
Calculate prob of picking 3 h when three letters picked without replacement from uuhuhh.
1/20
Two letters picked without replacement from bbbfbfhhm. What is prob of picking 1 f and 1 h?
1/9
Four letters picked without replacement from lidlidlli. Give prob of picking 2 i and 2 d.
1/42
What is prob of picking 1 u and 2 k when three letters picked without replacement from uukukukukkukkkuuuk?
27/68
What is prob of picking 1 k and 1 i when two letters picked without replacement from {i: 1, k: 2}?
2/3
Calculate prob of picking 1 n and 2 v when three letters picked without replacement from {a: 2, v: 4, n: 2}.
3/14
What is prob of picking 2 f when two letters picked without replacement from {f: 3, x: 2, w: 3}?
3/28
Three letters picked without replacement from fgzbccfczzzczfd. Give prob of picking 1 c, 1 f, and 1 z.
12/91
Calculate prob of picking 1 i and 1 o when two letters picked without replacement from wowsoowsowi.
4/55
Three letters picked without replacement from hhhckzp. Give prob of picking 2 k and 1 z.
0
What is prob of picking 1 v, 1 m, and 2 g when four letters picked without replacement from kovkkvvgvmggv?
3/143
Calculate prob of picking 3 y when three letters picked without replacement from {d: 2, t: 8, y: 5}.
2/91
What is prob of picking 2 m and 1 w when three letters picked without replacement from {w: 3, m: 13}?
117/280
What is prob of picking 1 w and 1 u when two letters picked without replacement from {w: 1, q: 3, u: 2, v: 1, l: 6}?
1/39
Calculate prob of picking 1 r and 1 t when two letters picked without replacement from {t: 1, l: 1, r: 1}.
1/3
What is prob of picking 2 v when two letters picked without replacement from hhhzhvhvhvhhvh?
6/91
Four letters picked without replacement from {f: 2, d: 3, j: 4, o: 3, s: 1, x: 3}. Give prob of picking 1 s, 1 o, and 2 j.
9/910
Three letters picked without replacement from {x: 3, u: 3, n: 1}. What is prob of picking 2 x and 1 n?
3/35
What is prob of picking 3 d when three letters picked without replacement from {n: 2, d: 9}?
28/55
Calculate prob of picking 1 g and 1 n when two letters picked without replacement from {n: 8, u: 4, g: 5}.
5/17
Calculate prob of picking 2 h when two letters picked without replacement from {h: 8, w: 4, t: 4}.
7/30
Calculate prob of picking 3 a when three letters picked without replacement from {y: 5, b: 3, a: 1}.
0
Two letters picked without replacement from ikkt. What is prob of picking 1 i and 1 k?
1/3
Four letters picked without replacement from {l: 3, y: 7}. What is prob of picking 1 y and 3 l?
1/30
Four letters picked without replacement from {t: 3, r: 3}. Give prob of picking 3 r and 1 t.
1/5
What is prob of picking 1 y, 1 e, and 1 r when three letters picked without replacement from eyxnrera?
1/14
What is prob of picking 3 b when three letters picked without replacement from bbbxxb?
1/5
Four letters picked without replacement from vkkrrrkkrrrgvvrkrv. Give prob of picking 1 r, 1 v, and 2 k.
16/153
Calculate prob of picking 2 p when two letters picked without replacement from puupv.
1/10
Calculate prob of picking 2 a and 1 f when three letters picked without replacement from aoaofaxax.
1/14
Three letters picked without replacement from {l: 9, j: 7}. What is prob of picking 3 l?
3/20
Three letters picked without replacement from aoeeeeoooeeeeeeeeeoe. What is prob of picking 2 e and 1 o?
91/228
What is prob of picking 1 c, 1 x, and 1 p when three letters picked without replacement from {f: 6, p: 2, c: 1, r: 3, s: 2, x: 4}?
1/102
Calculate prob of picking 1 z and 3 j when four letters picked without replacement from {z: 1, j: 3, w: 3, k: 4}.
1/330
Calculate prob of picking 1 o and 2 k when three letters picked without replacement from {z: 10, o: 1, v: 1, c: 3, k: 2, x: 1}.
1/816
Four letters picked without replacement from {n: 1, b: 2, i: 3, h: 1, m: 4}. Give prob of picking 1 b, 1 h, and 2 m.
2/55
Three letters picked without replacement from hhhbibihibi. Give prob of picking 2 i and 1 h.
8/55
Calculate prob of picking 1 h and 3 f when four letters picked without replacement from hfffhhhfhh.
4/35
What is prob of picking 2 t when two letters picked without replacement from tzxxxxxxxtzx?
1/66
Four letters picked without replacement from {p: 5, m: 2, n: 3, w: 1, a: 7, u: 2}. What is prob of picking 1 w and 3 a?
7/969
Four letters picked without replacement from ggggggagggggggg. Give prob of picking 1 a and 3 g.
4/15
What is prob of picking 1 t and 1 b when two letters picked without replacement from ttntntb?
4/21
Three letters picked without replacement from {a: 16, b: 2}. Give prob of picking 2 b and 1 a.
1/51
Four letters picked without replacement from {c: 1, s: 12}. Give prob of picking 4 s.
9/13
What is prob of picking 1 y and 1 n when two letters picked without replacement from yennelnnyylenun?
6/35
Calculate prob of picking 1 x and 1 j when two letters picked without replacement from {j: 1, d: 1, u: 1, x: 3, c: 1}.
1/7
What is prob of picking 2 a and 1 j when three letters picked without replacement from {j: 11, a: 2}?
1/26
What is prob of picking 2 e and 1 d when three letters picked without replacement from {d: 8, e: 4, y: 1, v: 7}?
4/95
Two letters picked without replacement from {y: 7, w: 3, c: 5, v: 1}. What is prob of picking 2 w?
1/40
What is prob of picking 1 s and 1 w when two letters picked without replacement from {u: 1, w: 1, s: 1}?
1/3
Calculate prob of picking 3 w and 1 r when four letters picked without replacement from {w: 3, r: 3}.
1/5
Two letters picked without replacement from {m: 3, v: 3, q: 3, z: 1, j: 1}. Give prob of picking 1 z and 1 v.
3/55
What is prob of picking 1 r, 1 j, and 1 s when three letters picked without replacement from {r: 2, j: 4, s: 1}?
8/35
Four letters picked without replacement from nmmrzvvrvrvvxmvzvm. Give prob of picking 1 v, 2 r, and 1 x.
7/1020
What is prob of picking 1 g and 1 y when two letters picked without replacement from {y: 5, t: 1, b: 1, g: 2, r: 1}?
2/9
What is prob of picking 1 q, 1 a, 1 r, and 1 x when four letters picked without replacement from {a: 1, x: 4, q: 2, r: 1}?
4/35
Four letters picked without replacement from {r: 4, o: 2, h: 1, c: 3, i: 2}. What is prob of picking 1 r, 2 c, and 1 i?
8/165
Calculate prob of picking 1 r, 1 g, and 2 d when four letters picked without replacement from {s: 2, r: 2, v: 5, f: 2, d: 2, g: 1}.
2/1001
Four letters picked without replacement from ddddll. What is prob of picking 4 d?
1/15
What is prob of picking 1 l, 2 j, and 1 v when four letters picked without replacement from {l: 1, j: 4, s: 2, v: 1, i: 1}?
1/21
Two letters picked without replacement from ydxnv. Give prob of picking 1 v and 1 d.
1/10
Four letters picked without replacement from lllll. Give prob of picking 4 l.
1
Four letters picked without replacement from ddiiaaaadiai. What is prob of picking 4 i?
1/495
Four letters picked without replacement from nnnlknnnkknnkknnlkn. What is prob of picking 3 k and 1 n?
55/969
Two letters picked without replacement from {y: 2, | {
"pile_set_name": "DM Mathematics"
} |
r.
1
Express -5 - 1236*q + 2 + 2 + 1242*q as t + r*q and give t.
-1
Express 2*r**4 + 2*r**2 + 1461 - 3*r + 4*r - 1451 in the form n + b*r**3 + y*r**2 + a*r + z*r**4 and give y.
2
Rearrange (12*v + 43 - 43)*(5 + 6 - 3) to c*v + k and give c.
96
Rearrange -1 - 5*l**2 - 14*l**3 - 6*l - 23*l**4 - 1 + 20*l**4 + 6*l**2 to u + b*l**2 + r*l + m*l**3 + s*l**4 and give b.
1
Express (14*x - x + 11*x)*(-4*x**2 + 3*x**2 + 0*x**2)*(-6*x + x - 2*x) as b*x**4 + u*x**2 + y + h*x**3 + i*x and give b.
168
Express (0 - 2 + 10 + 2 - 1 + 0 + (2 - 5 + 2)*(-3 - 3 + 4) + 1 - 1 - 1 - 1 + 0 + 2)*(-8*s**2 - 5 + 5) as n*s**2 + h + x*s and give n.
-88
Rearrange -6*q**3 - 3*q**3 - 78*q**2 + q + 76*q**2 to m*q + b + r*q**2 + k*q**3 and give m.
1
Rearrange (1 - 2*p - 1)*(1 + 5*p**2 - 1) - 43 - 4*p**2 + 72*p**3 + 47 + 4*p**2 to the form z*p**2 + l*p + j*p**3 + n and give j.
62
Rearrange (0*t**2 + 164*t - 186*t + 2*t**2)*(5*t - 2*t + 1 - t)*(-3 - 1 + 2)*(-t - 2*t + 0*t) to p*t**2 + a*t**3 + w + c*t + o*t**4 and give a.
-252
Express -y - 105 + 54 + 51 in the form r*y + q and give q.
0
Express 220*q**2 - 445*q**2 + 221*q**2 - 14*q in the form z*q + i + a*q**2 and give a.
-4
Rearrange (3*x**4 - 5*x**4 + x**3 - 5*x**3)*(-6 + 3 + 4) + x**4 + 3 - 3 to the form h*x**4 + p + y*x + k*x**2 + c*x**3 and give c.
-4
Rearrange -312*g**2 + 92*g**2 - 345*g**2 - 233*g**2 + 147*g**2 to o + f*g + a*g**2 and give a.
-651
Express -2*d**4 - 3*d**2 - d**3 + 3*d**4 + 40*d + 36*d - 54*d in the form u*d**3 + g*d**4 + a*d**2 + q*d + w and give q.
22
Express 10*r + r - 7*r + 1 - 39*r + 87*r - 47*r + (r - 2*r + 2*r)*(2 - 4 + 4) + 0*r + 4*r - 3*r as m*r + o and give o.
1
Rearrange f**4 - 3*f**4 - 6*f + 3 - 2*f**3 - 61*f**2 - 5*f + 12*f + 17*f**2 to the form k*f**3 + y*f + j + c*f**4 + i*f**2 and give y.
1
Rearrange -10*p**2 - 11*p**2 - 31*p**2 + (-p - 3*p + 3*p)*(3*p - 3*p - p) + 2*p**2 - 5*p**2 - p**2 to a*p**2 + y + o*p and give a.
-55
Rearrange (-24 - 15 + 28 + 2*k)*(1 - 5*k**2 - 3 + 8*k**2) to the form m*k + o + g*k**2 + n*k**3 and give m.
-4
Rearrange -3878*t**3 + 5 + 1938*t**3 + 36*t - 5 + 1938*t**3 to p*t**2 + n*t**3 + h + w*t and give n.
-2
Rearrange (-5*z + 4*z + 4*z)*((1 - 2 + 3)*(-1 - 1 + 1) + 1 - 7 + 4 - 2 + 1 + 2)*(-106 + 15 - 27)*(-4 + 6 + 0) to f*z + q and give f.
2124
Express -h**2 + 0*h**2 + 3 + 4*h + 2*h**2 - 21*h in the form v + p*h + x*h**2 and give x.
1
Express 1 + 2 - 3 - 196*g**2 - 307*g**2 as l + q*g + j*g**2 and give q.
0
Express -18 - 12 + 47*y - 13 - 43*y - 71 as v + q*y and give q.
4
Express (19*q**2 + 73*q - 73*q)*(-1 + 1 - q)*(-2*q - 1 + 1) as o*q**2 + t*q + h*q**4 + s*q**3 + r and give h.
38
Rearrange (-35 - 71 - 1)*(-2 + 2 + 2*f) + (-f - 4 + 4)*(-1 + 1 + 4) to m*f + p and give m.
-218
Rearrange 34 + l - 351*l**2 + 353*l**2 - 4 to the form j*l**2 + x + k*l and give x.
30
Rearrange (3 - 7 + 6 + 10*v)*(-2*v + 5*v + v)*(2*v - 2 + 2) to the form w*v**3 + i + f*v**2 + l*v and give f.
16
Express 40*x**4 - 113*x**4 + 39*x**4 - 2 + 2*x + 37*x**4 - 5*x**2 in the form v + d*x**4 + w*x**2 + m*x + y*x**3 and give d.
3
Rearrange -2*g - 80*g**2 + 8 + 29*g - 27*g to d + k*g**2 + l*g and give k.
-80
Rearrange 242*x**3 - 115*x**3 - 124*x**3 - 19*x to q + l*x**3 + z*x**2 + w*x and give q.
0
Rearrange (-2*k + 8*k - k)*(-1 - 1 - 3)*(3 - 2*k - 3) to the form n + a*k + l*k**2 and give l.
50
Rearrange c - 187 + 10 - 172 - 23 - 72 to the form v + q*c and give q.
1
Rearrange 5*u**2 + 9636*u - 10 - 3*u**2 - 9632*u to the form l*u**2 + q*u + b and give b.
-10
Rearrange -11 + 27*b + b**3 + 10 + 10*b**2 + 11*b - 9*b**2 to the form v + z*b**2 + l*b + x*b**3 and give z.
1
Rearrange (2*c**2 + 0*c + 0*c)*(378 - 10 + 46) to the form b*c**2 + a + r*c and give b.
828
Rearrange (-2*o**2 + 6922 - 6922 - 328*o)*(0 + 1 + 0) to the form j*o + x + a*o**2 and give a.
-2
Express (5*y**2 + 14 - 3 - 22*y**2 - 9*y**2)*(-3*y + 5*y - 4*y) as i*y + s*y**2 + n*y**3 + u and give i.
-22
Express -1861*s - 667*s + 12 - 20 + 8 in the form x + m*s and give m.
-2528
Express -2 - 22 + 7 - 2*b**3 + 17*b**2 + 19 in the form i + m*b**3 + x*b**2 + p*b and give m.
-2
Rearrange 9*k - 7 + 3 + 2 + 4 to the form r + f*k and give f.
9
Rearrange 129*p - 142*p**2 - 143*p + 10*p to w + d*p + v*p**2 and give d.
-4
Rearrange (3*w**2 - 2*w**2 + w**2)*(-95 - 3*w - 12*w + 92) to the form r*w**3 + c + b*w + y*w**2 and give y.
-6
Rearrange 315*p**2 - 57651*p + 57651*p to q*p + u*p**2 + l and give u.
315
Express 188 + 187 + 190 - 25*x - 563 as s + y*x and give y.
-25
Express 0*k - 2*k + 2*k - 131*k**2 as s + l*k**2 + x*k and give l.
-131
Express 13*o**2 - o + 12*o**2 - 32*o**2 + 10*o**2 - 2 in the form h + b*o + s*o**2 and give h.
-2
Express 45*n**4 - 191*n**4 - 182*n + 5*n**3 - 2 + 182*n in the form c + l*n + q*n**4 + r*n**2 + f*n**3 and give l.
0
Rearrange s + 2 + 10*s**4 + 2 + 10*s**4 - 22*s**4 - 2*s**3 to g*s**3 + f*s + w*s**2 + m + r*s**4 and give f.
1
Rearrange (4 - 3 - 2)*(-243*d + 247*d - 6 - 68) to i*d + j and give i.
-4
Rearrange -374*s + 318 - 318 to m*s + l and give m.
-374
Rearrange (-419 + 13*k + 419)*(-2*k**2 - 3 + 3)*(-4*k + 2*k + 3*k - 6) to b + n*k**2 + w*k**3 + s*k**4 + d*k and give n.
0
Express -21*j - 22*j + 1 + 45*j as n + g*j and give g.
2
Express 21*y - 13*y + 1 + 2*y**2 - 35*y**3 - 15*y**3 - y**2 - 7*y in the form m*y**3 + j*y**2 + q*y + o and give q.
1
Express (3 - 2 + 3)*(-2*l - 6*l + l + (-3 + 3 - 2)*(-2 - 2*l + 2) + (0*l + 0*l - 2*l)*(3 - 2 + 0)) in the form u*l + o and give u.
-20
Express 4*l**2 + 2448 + 9*l**2 - 2448 - 14*l as c*l + j*l**2 + k and give j.
13
Rearrange -1 - s**4 + s**3 + 2*s**2 + 4451*s - 4459*s + 2*s**4 + 4 to the form x*s**4 + a*s**2 + o*s**3 + f + k*s and give o.
1
Rearrange (23 - 23 - 54*s**3)*(-4*s + s - s) + 0*s**4 - 2*s**4 + 4*s**4 to the form t*s**3 + h + u*s**2 + b*s + g*s**4 and give g.
218
Rearrange 1581*j**2 - 21*j + 15*j + 6*j to the form v + b*j**2 + l*j and give b.
1581
Express -3 - 71*u - 9 + 2*u**3 - 3*u + 74*u + 12*u**2 as d + z*u + j*u**2 + m*u**3 and give j.
12
Rearrange -4*k - 2*k + 4*k - k + 1 - 1 - 5*k + 4*k - k + (2 - 3 + 0)*(k + 0*k + k) + 2138 - 2138 + 74*k to the form n*k + q and give n.
67
Rearrange (9 - 29 + 6)*(-6*y + 4*y + y) + 3 + 1 + 20*y - 3 - 1 to o*y + x and give o.
34
Express -37*s**3 - 2*s - 56*s**3 + 164*s**3 + s**2 in the form x*s + k*s**3 + g + n*s**2 and give x.
-2
Rearrange (-3*n**3 + 6*n**3 - 5*n**3)*(-33*n - 33*n - 87 - 33*n + 103*n) to the form w + o*n**2 + c*n**4 + f*n + k*n**3 and give c.
-8
Rearrange (4908*o - 4908*o - 2 + 67*o**3)*(-3 + 2 + 0) to the form y*o**3 + p*o + g + u*o**2 and give y.
-67
Rearrange (-38 + 38 - 71*r)*(1 + 3 + 3) to c*r + h and give c.
-497
Express (-2 - x + 2)*(1 - 1 + 2) - 1142*x + 1238*x + 3723*x in the form k*x + b and give k.
3817
Rearrange (5*y - 2*y + 0*y)*(5*y - 101 - 51 - 4*y) to the form w + z*y**2 + n*y and give z.
3
Rearrange (-6*d**2 + d**2 + 4*d**2)*(-21*d + 12*d - 25*d + (2 + d - 2)*(2 - 4 + 3) + 4*d - 4*d + 11*d) to k*d**2 + i + r*d + l*d**3 and give l.
22
Express (-2*q - 3*q**2 + 2*q)*(-5 + 1 + 5) + (-1 - 2 + 6)*(-8*q**2 - 4*q**2 + 3*q**2) as c*q**2 + f*q + m and give c.
-30
Rearrange 1 - 16*a - 16*a - 2 - 3 - 16*a**2 - 2*a**3 + 34*a to the form x + q*a**3 + d*a**2 + v*a and give d.
-16
Rearrange 5*d + 61*d**2 - 29*d**2 - 29*d**2 + 2 - 16*d**2 - 2*d**4 to a*d + x*d**2 + k + s*d**4 + l*d**3 and give s.
-2
Rearrange -153*f - 2*f**3 + 4*f**3 + 12061 - 12062 to g*f**2 + w*f**3 + k*f + x and give k.
-153
Express 2*b - 3*b + 5*b + (0 - 1 - 1)*(2*b - 2*b + 4*b) + 13*b - 21*b - 5*b as m*b + n and give m.
-17
Express (3 - 3 + 1)*(-2 + 1 + 17304*y - 16932*y)*(2*y + y**2 - 2*y) in the form c*y**3 + d + m*y**2 + j*y and give m.
-1
Express 2*i + i**3 + 6 - 32*i**4 + 5*i - 4 - 6*i in the form r*i**4 + u + k*i**2 + a*i**3 + y*i and give r.
-32
Express (-y + 3*y - 3*y)*(-3 - y**2 + 3) + 31*y**3 - 11*y**3 + 10*y**3 in the form n*y**3 + t + s*y + c*y**2 and give n.
31
Rearrange 4 - 11*g**2 - 4 + 44*g**2 + 5 + 9*g**2 to m*g**2 + n*g + j and give j.
5
Rearrange 2162*w + 2*w**2 + 11 - 2162*w to the form n*w + z*w**2 + p and give z.
2
Rearrange -11821 + 11823 - 42*b**3 + b**4 + b - 7*b**3 - 3*b to n*b + k*b**3 + s*b**2 + o*b**4 + f and give o.
1
Express -21*u**3 + u**2 - 33*u + 23*u**3 + 0*u**4 + u**4 - 32*u - 3*u**4 in the form i + z*u | {
"pile_set_name": "DM Mathematics"
} |
ultiple of 19305 and 533.
791505
What is the common denominator of 169/16002 and 31/1778?
16002
What is the common denominator of 4/1395 and 199/840?
78120
Find the common denominator of -5/45388 and 53/19452.
136164
Find the common denominator of -19/21627 and 89/36.
86508
What is the common denominator of -103/3952 and 125/1248?
23712
Calculate the common denominator of -51/28684 and -51/40.
286840
What is the common denominator of 37/5256 and 95/292?
5256
What is the common denominator of 139/646038 and -39/10?
3230190
What is the lowest common multiple of 236376 and 162?
2127384
What is the common denominator of -179/60 and -19/759?
15180
What is the lowest common multiple of 2048 and 7168?
14336
Find the common denominator of 62/905 and 1/6697.
33485
Calculate the smallest common multiple of 70 and 2248.
78680
Calculate the common denominator of -111/400 and 53/5800.
11600
What is the lowest common multiple of 53655 and 21?
53655
Calculate the common denominator of -127/120 and -10/569709.
22788360
Calculate the smallest common multiple of 56466 and 420358.
3783222
Calculate the common denominator of 101/1032 and -20/6321.
50568
Find the common denominator of 13/1323 and 151/18774.
394254
What is the common denominator of -61/11868 and 103/233404?
700212
What is the least common multiple of 17710 and 129030?
903210
Find the common denominator of -25/29756 and -41/10.
148780
What is the common denominator of -17/1078 and 59/336?
25872
What is the smallest common multiple of 12438 and 45?
62190
Find the common denominator of -121/216 and 137/11700.
70200
What is the common denominator of -49/24 and -27/59104?
177312
Calculate the common denominator of -87/4222 and 57/86.
181546
What is the common denominator of -1/564 and 9/4?
564
Calculate the common denominator of -40/60333 and -47/4368.
965328
Calculate the common denominator of 73/652 and -197/2070.
674820
Calculate the common denominator of 35/529 and 95/110354.
2538142
Find the common denominator of -107/2408 and -59/63.
21672
Calculate the least common multiple of 5350 and 35.
37450
Calculate the common denominator of -107/50 and 73/10005.
100050
Calculate the common denominator of -51/1438 and -37/174.
125106
Calculate the lowest common multiple of 114 and 66253.
397518
Calculate the common denominator of 61/3474 and -17/18.
3474
Calculate the common denominator of 101/2352 and 97/980.
11760
What is the common denominator of 16/581295 and -111/140920?
4650360
Calculate the common denominator of 32/219653 and -32/189.
5930631
What is the common denominator of -43/72 and 75/754?
27144
What is the least common multiple of 245110 and 2?
245110
Find the common denominator of -121/30 and 53/1428.
7140
What is the lowest common multiple of 75750 and 6060?
151500
Calculate the common denominator of 25/428622 and -49/9.
1285866
What is the smallest common multiple of 5880 and 1540?
64680
What is the lowest common multiple of 5376 and 768?
5376
What is the smallest common multiple of 11930 and 2386?
11930
Find the common denominator of 137/102 and -5/20774.
62322
Find the common denominator of 125/52374 and 155/78.
680862
Calculate the lowest common multiple of 50013 and 400104.
400104
Find the common denominator of -5 and 56/67135.
67135
What is the common denominator of -119/1476 and -28/13?
19188
What is the lowest common multiple of 77926 and 6632?
311704
What is the smallest common multiple of 6 and 1413?
2826
Find the common denominator of -71/720 and 79/716.
128880
What is the common denominator of 43/37530 and 23/6255?
37530
Find the common denominator of 117/157150 and -52/141435.
1414350
Calculate the common denominator of -93/280 and 7/4965.
278040
What is the lowest common multiple of 86386 and 188?
172772
Calculate the least common multiple of 10854 and 18.
10854
What is the common denominator of -31/2442 and -79/234?
95238
Calculate the lowest common multiple of 5853 and 325817.
977451
What is the common denominator of 43/125382 and -109/36?
752292
Calculate the least common multiple of 13364 and 1508.
387556
What is the lowest common multiple of 197 and 13?
2561
Calculate the common denominator of -125/6066 and -101/2255204.
20296836
What is the common denominator of 53/103760 and -83/10?
103760
Find the common denominator of 22/20007 and 11/306.
680238
What is the least common multiple of 2 and 93856?
93856
Calculate the lowest common multiple of 5091 and 129.
218913
Calculate the lowest common multiple of 309108 and 3.
309108
What is the least common multiple of 462 and 65604?
65604
What is the least common multiple of 45 and 138069?
690345
Find the common denominator of -95/38136 and -81/14528.
305088
Find the common denominator of 82/124815 and 40/583.
1372965
What is the lowest common multiple of 1122 and 3630?
61710
Calculate the least common multiple of 200401 and 11.
2204411
Calculate the smallest common multiple of 1938 and 94.
91086
What is the least common multiple of 57 and 44403?
44403
Calculate the least common multiple of 477 and 34715.
312435
Find the common denominator of -11/156 and -7/97656.
97656
What is the common denominator of -73/43232 and 43/784?
302624
What is the common denominator of -105/1194154 and 38/117?
10747386
Calculate the lowest common multiple of 8502 and 2028.
221052
Calculate the common denominator of 7/47000 and 163/7050.
141000
Calculate the common denominator of 87/10544 and -71/83034.
664272
Calculate the least common multiple of 17490 and 295740.
3253140
What is the common denominator of -23/2605 and 93/70?
36470
Find the common denominator of -85/84212 and 63/64.
1347392
What is the smallest common multiple of 13992 and 12?
13992
Find the common denominator of -139/684 and 23/10080.
191520
Calculate the least common multiple of 166302 and 18478.
166302
Calculate the common denominator of -169/495264 and 63/16.
495264
Calculate the common denominator of 29/2090 and -11/228285.
5022270
Calculate the least common multiple of 1070 and 16850.
1802950
Find the common denominator of 61/87372 and -12.
87372
Find the common denominator of 50/21 and -76/4773.
33411
Calculate the common denominator of -29/16074 and 157/570.
80370
Calculate the least common multiple of 65 and 14195.
184535
Calculate the smallest common multiple of 124 and 484.
15004
What is the least common multiple of 133 and 18240?
127680
What is the common denominator of 79/25390 and 65/15234?
76170
What is the common denominator of 173/510 and 73/1347?
228990
What is the least common multiple of 21537 and 595857?
1787571
What is the common denominator of -33/3232 and -87/16?
3232
What is the least common multiple of 1016 and 3?
3048
Calculate the smallest common multiple of 28 and 23659.
662452
Calculate the least common multiple of 216839 and 6.
1301034
What is the common denominator of 149/4068 and 21/422?
858348
Calculate the common denominator of 113/192 and 1/14016.
14016
What is the lowest common multiple of 25116 and 2898?
75348
What is the common denominator of 31/1683 and 105/578?
57222
What is the common denominator of -3/6304 and 79/22?
69344
What is the common denominator of -62/299135 and -93/598270?
598270
What is the lowest common multiple of 119709 and 26602?
239418
Calculate the smallest common multiple of 31600 and 540.
853200
What is the lowest common multiple of 419742 and 351?
5456646
Calculate the lowest common multiple of 424 and 15900.
31800
Calculate the common denominator of -113/42354 and -79/14118.
42354
What is the least common multiple of 145585 and 105880?
1164680
What is the least common multiple of 924 and 237930?
475860
Calculate the common denominator of -13/178228 and -83/16.
712912
Calculate the least common multiple of 411069 and 1578.
822138
Find the common denominator of -85/95054 and -99/32.
1520864
What is the smallest common multiple of 1024 and 64?
1024
What is the smallest common multiple of 20 and 1534?
15340
Calculate the smallest common multiple of 11150 and 466.
2597950
What is the common denominator of 11/1710 and 25/278388?
1391940
What is the common denominator of 68/23265 and -113/46530?
46530
Calculate the common denominator of 25/11834 and 41/427.
82838
What is the smallest common multiple of 418 and 337592?
371351 | {
"pile_set_name": "DM Mathematics"
} |
- 268).
16860*b**3
Expand -8*f**4 + 20 - 20 + (-2 + 2 + 1)*(-5*f**4 - 3*f**4 - 4*f**4) + 5*f - 5*f + 6*f**4 - 3*f + 3*f + f**4 + (f**2 - 1 + 1)*(0*f + 0*f - 2*f**2).
-15*f**4
Expand (-24*y + y - 23*y)*(2*y - 5*y + 2*y)*(-2 - 4*y**3 + 5 + 8*y**3).
184*y**5 + 138*y**2
Expand -13*o**2 - 13*o**2 + 2 + 21*o**2 + (-o + 2*o - 3*o)*(o - 2*o + 3*o).
-9*o**2 + 2
Expand (-1702 - 1494 + 409 - 210)*(0*u + 2*u + 0*u).
-5994*u
Expand (5*k**2 - 5*k**2 + 3*k**4)*((-4 + 2 + 7)*(3 + 2*k - 3) + 2*k + k - 5*k + (4*k - 3*k + 0*k)*(0 + 0 - 1) - 5*k + 3*k + 0*k).
15*k**5
Expand (4 - 4 - 3*u)*(0 - 5 - 1) + 495 - 495 + 21*u.
39*u
Expand -193*t**4 + 648 - 648 + t**4 - 3*t + 3*t + (-t**3 + t**3 - 2*t**3)*(0*t + t + t) + 3*t**4 + 0*t**4 - 4*t**4 + (-2*t + 6*t - 3*t)*(-t**2 + t**2 - 2*t**3).
-199*t**4
Expand (1516*y**2 - 2097*y**2 - 2*y + 7350*y**2)*(y**2 + 18 - 18).
6769*y**4 - 2*y**3
Expand (-7*d + 2*d + 0*d)*(d - 2*d + 0*d) + (1 - 16*d - 10*d + 28*d)*(3*d + 0 + 0).
11*d**2 + 3*d
Expand (2 - 1 + 3)*(-3 - 9 - 13)*(-6*v + 4*v + v)*(-3 + 3 + v**4).
100*v**5
Expand (-47 - 35 - 77)*(-35*o + 18*o + 34*o**3 + 17*o).
-5406*o**3
Expand (-4*n - 4*n + 6*n + 61*n - 13 + 13 + (4*n + 3*n - 5*n)*(1 + 3 - 3))*(2 + 0 - 4).
-122*n
Expand (-1 - 2 + 12)*(-2 - 1 + 8)*(-7*f + f + f)*(1 + 5 - 4).
-450*f
Expand (5 + 0 - 3)*(3*s + 1 - 1)*(-1 - 1 + 1)*(-1 - 3 - 8)*(-18 - 16 - 28).
-4464*s
Expand 11*q**2 - 11*q**2 + 14*q**2 + (-15*q - q - 24*q)*(-5 + q + 5).
-26*q**2
Expand (-2*i - 1 + 9 + 0)*(0 + 4 - 2)*(-2*i + i + 0*i + 3*i - 6*i + 4*i + (0*i - i + 0*i)*(-2 + 2 - 1) + 3 - 3 + i + (-1 - 1 + 5)*(12 - 12 - 24*i)).
280*i**2 - 1120*i
Expand (-410*x**4 - 191*x**4 - 1055*x**4)*(2 - 1 - 3).
3312*x**4
Expand -6*n**4 + 0*n**4 + 0*n**4 - 6*n**4 + 2*n**4 + 2*n**4 + (-2*n + n + 4*n)*(-4*n**3 - 3 + 3) + 0*n**4 - n**4 + 2*n**4.
-19*n**4
Expand (-3*r**3 - 4*r**3 + 2*r**3)*(-25 + 11 - 13)*(-r + r - 12*r).
-1620*r**4
Expand (1 - 423*z - 1 - 121*z)*(14 + 6 - 5).
-8160*z
Expand -2*c + c + 3*c + (0 + 1 - 2)*(-2*c - 2*c + 3*c) + c + 0*c + c + 90438 - 90438 + 27*c - 3*c - c + 0*c + 5*c - 2*c - 2*c.
29*c
Expand (-6 + 6 + 5*r**2)*((3 - 2*r - 3)*(4 - 2 - 4) + 1 - 1 + 2*r - 178*r - 55*r - 218*r).
-2225*r**3
Expand 21*x - 12*x**3 - 21*x - x**5 + (-2*x**3 + 0*x + 0*x)*(66*x - 66*x - 344*x**2).
687*x**5 - 12*x**3
Expand (2*v - v + 0*v)*(3 + 2*v - 3) + (3*v - 3*v - 3*v)*(-74 + 84 + 75)*(-4*v + 7 - 7)*(-4 + 6 - 3).
-1018*v**2
Expand 12*i**3 + 6*i**3 + 6*i**5 - 20*i**3 + (2 + 1 - 2)*(-i**5 - i**5 + 3*i**5) + (0*i - 5*i + 0*i)*(-628*i**3 + 628*i**3 + 10*i**4 - 1).
-43*i**5 - 2*i**3 + 5*i
Expand 141*q**2 - 216*q**2 + 159*q**2 + 5*q**2 - 6*q**2 + 3*q**2 + (5*q - 5*q + 5*q)*(0*q + 0*q - 2*q).
76*q**2
Expand (-5*w**2 + 3 - 3 + (0*w + 2*w + 0*w)*(2*w - 1 + 1))*(0 - w + 0)*(-309*w - 139 + 139).
-309*w**4
Expand (1 - 3 + 3)*(-1 + 0 + 0)*(-12916*j + 6288*j + 4420*j).
2208*j
Expand (434*b + 408 - 408)*(0*b**2 - b**2 + 0*b**2) - 19*b**2 + 33*b**2 - 5*b**3 - 11*b + 13*b.
-439*b**3 + 14*b**2 + 2*b
Expand 2*z**5 - z**5 + z**5 + (z**4 - 3*z**4 + 0*z**4)*(2*z + 0*z + z) - 3*z**5 + 3*z**5 + z**5 + (z**3 - 2*z**3 + 0*z**3)*(59*z - 59*z + 10*z**2).
-13*z**5
Expand (-41*h - 185*h + 61*h)*(-2 - 1 + 1) + 5 - 5 - 3*h.
327*h
Expand (4*w - 17 + 17)*(62*w - 538*w - 17*w).
-1972*w**2
Expand (-38*o - 16*o + 11*o)*(94 - 94 + o**3)*(0*o - 3*o + o).
86*o**5
Expand (-17 + 50*y + 18 - 29*y + 2*y - 5*y + 2*y + y - 3 + 3 + (2*y - 1 + 1)*(1 + 1 - 1))*(2 - 2 + 5)*(2*y + y - 4*y).
-115*y**2 - 5*y
Expand (-7 + 2 - 4)*(2*h - h + 0*h)*(0 + 3*h**2 + 0) + h**3 - 2*h**3 + 0*h**3.
-28*h**3
Expand (0 + 1 + 1)*(2*b - 3*b + 2*b) + 30 - 14*b - 30 + (-2*b + 0*b + 5*b)*(-6 + 1 + 11) - 2*b + b + 3*b + (-3 - 2*b + 3)*(3 - 5 + 4).
4*b
Expand 2*i**3 + i - i + (-3*i**2 + 2*i**2 - 2*i**2)*(-i + 0*i + 3*i) + 3*i**3 + 4*i**3 - 3*i**3 - 2 + i**3 + 2.
i**3
Expand (104*m + 184*m**4 - 104*m)*(-2 + m + 4 + m + (-1 - 6 + 1)*(-2*m + 5*m + 2*m)).
-5152*m**5 + 368*m**4
Expand (-a**2 - 3*a**4 + a**2)*(3 - 3 + 4) + 17*a**4 - a + a + 0*a**4 + 2*a**4 + 0*a**4.
7*a**4
Expand -85 + 88 - 7*s + 2*s**4 + 2*s**2 + s + (0 + 0 - 5)*(8*s**2 + 3*s**4 - 8*s**2).
-13*s**4 + 2*s**2 - 6*s + 3
Expand (-2 - 2*m + 4 + 0*m)*(m**4 - 3*m**4 - m**4 + (-98 + 98 - 72*m)*(0*m**3 - 3*m**3 + m**3)) + 232*m**3 - 103*m**5 - 232*m**3.
-385*m**5 + 282*m**4
Expand (9*z**2 - 4*z**2 + 5*z**4 - 7*z**4)*(801 + 1049 - 1499)*(5 - 3 - 1).
-702*z**4 + 1755*z**2
Expand 3*l - l + 0*l + (-2*l + 2*l + 2*l)*(-25 - 50 - 257).
-662*l
Expand ((1 + 2 - 1)*(-5 + 3 + 5) + 8 - 2 - 1)*(0 + 0 + 1)*(i - i + 7*i**3)*(-3 + 3 - 2*i**2).
-154*i**5
Expand (111*n**3 - 72*n**3 - 88*n**3)*(55 - 31 - 12 - 3*n - 28).
147*n**4 + 784*n**3
Expand (0*y**3 + 0*y**3 - y**3)*(-28 - 193 + 61)*(208*y - 208*y - 67*y**2).
-10720*y**5
Expand -109*f**2 + 355*f**2 + 190*f**2 - f**3 + (4 - 4 - 4*f**2)*(2*f + 4 - 4) + 0*f**3 + f**3 + 0*f**3.
-8*f**3 + 436*f**2
Expand b - b + b + (-3*b - b + 5*b)*(-3 + 1 + 4) - 17 + 28 + 222*b - 16.
225*b - 5
Expand (-1 - 2*s + 1)*(9*s - 6*s - 2*s + 2) + (0*s**2 + 7*s**2 - 6*s**2)*(15 - 9 + 9).
13*s**2 - 4*s
Expand (-5*v + 5*v + 3*v)*(3 + 2*v - 3)*(0*v**2 + 2*v**2 - v**2)*(2*v + 0 + 0)*(1 + 0 + 1) + (-952 + 952 - 49*v**2)*(-v**3 + 5*v**3 + v**3).
-221*v**5
Expand (0 + 0 + 425004*i - 424063*i)*(-2*i**2 + 2*i**2 + i**2).
941*i**3
Expand (4*r - 5*r + 3*r)*(-3 + 6 - 2) - 2 + 2 + r + 1544*r - 36862 + 36862 + 2*r + 1 - 1.
1549*r
Expand (1 - 1 - 2)*(-m + m - 2*m**2) + 7*m**2 - 2*m**2 - 3*m**2 + 37*m - 13967 - 36*m + 13999 + 8*m**2.
14*m**2 + m + 32
Expand (-1121*j + 1121*j + 157*j**2)*((0 - 1 + 0)*(-2 + 6 - 3) + 4 + 1 + 0 + (-2 + 1 + 0)*(-1 - 1 + 3)).
471*j**2
Expand (23 - 4*m**3 - 23)*(6*m - 2*m - 3*m) + (-511*m - 503*m + 955*m)*(3*m**3 - 1 + 1).
-181*m**4
Expand (13 - 2 + 8)*(-6 + 3 + 1)*(2364*z - 1690*z + 530*z).
-45752*z
Expand (-4*u**2 + 0*u**2 + 2*u**2)*(7 - 1 - 4)*(4*u - 188*u + 83*u).
404*u**3
Expand (-h**4 + 18 - 18)*(-h + 3*h - 2 - 1) + (2 - 2*h**2 - 2)*(9*h**3 - 3*h**3 + 2*h**3).
-18*h**5 + 3*h**4
Expand (19*n**3 + 2*n**3 - 45*n**3)*(n**2 - 4*n**2 + n**2)*(-3 - 10 - 7).
-960*n**5
Expand (-706 + 20*o + 706)*(0*o**2 + o**2 + 0*o**2) + 169*o - 87*o + o**3 - 90*o.
21*o**3 - 8*o
Expand (-g + 6*g - 3*g + ((-2*g + 2*g + 2*g)*(3 - 5 + 3) + 5*g + 3*g - 6*g)*(-4 + 12 + 3))*(-13*g + 7*g + 12*g).
276*g**2
Expand (26*u + 11*u - 9*u)*(u - 4*u - 6*u + (-u + 0 + 0)*(-3 - 2 + 0)).
-112*u**2
Expand (13 + 14 + 10)*(-2*y + 86*y - 2 + 35*y).
4403*y - 74
Expand (0*c**2 + 0*c**2 - c**4)*(-1962 + 5884 + 2518*c - 1962 - 1960).
-2518*c**5
Expand (3 + 1 - 2)*(110*u - 55*u**2 - 110*u) - 31*u**2 - 7*u + 12*u - 5*u.
-141*u**2
Expand ((2 - 5 + 6)*(-22 + 16 + 7) + 1 + 3 - 5)*(-1 + 1 - 2*u).
-4*u
Expand (14 - a**3 - 9 - a**3)*(172*a**2 + 127*a**2 - 268*a**2).
-62*a**5 + 155*a**2
Expand (417 - 241 + 87)*(0 + m + 0 + 2*m - 4*m + 6*m + 2*m - 2*m + m + (-m + m - 2*m)*(3 + 0 - 4) + (-3*m - 4*m + 3*m)*(-4 + 3 + 0)).
3156*m
Expand 0*k**2 - 5 - k**2 + k + 7 + (-k + 0 + 0)*(-2 - 2 + 1)*(6 + 4 - 8)*(-4*k + 3*k + 39*k).
227*k**2 + k + 2
Expand (-4*x + 4*x - 2*x)*(-3*x**3 + 3*x**3 + x**3) - x**4 + 3*x**3 - 3*x**3 + (98*x**2 + 267*x - 267*x)*(3*x**2 + 1 - 1).
291*x**4
Expand (5 - 3 - 1)*(-i**2 + 0*i + 0*i) + 3*i**2 - i**2 - 3*i**2 + (-2 - i + 2)*(-541*i + 845*i - 446*i + (-4 - i + 4)*(1 - 2 + 3)).
142*i**2
Expand (1 - 2 + 2)*(-111 + 276 + 517)*(-13*o + 9*o - 12*o).
-10912*o
Expand (-1 - 6 + 5)*(-2 + 470*y + 310*y**2 - 470*y).
-620*y**2 + 4
Expand (-23*h**2 + 5*h**3 + 23*h**2)*(-259 + 259 - 28*h) - 9*h**4 - 6 + 6.
-149*h**4
Expand (383*k**2 + 40*k**2 + 51*k**2)*(-k - 2*k - 6*k).
-4266*k**3
Expand (14*g + 17*g + 5*g)*(97*g**2 + 2529 - 2529) + 0 + 3*g**3 + 0.
3495*g**3
Expand (-6*i**2 - i**2 + 4*i**2 + (-i + 0*i - i)*(-5*i + 0*i + 3*i))*(-1 - i**3 + 1) + 6*i**5 - 3*i**5 - i**5 - 1593*i**5 + 29*i**5 - 483*i**5.
-2046*i**5
Expand (97 - 8 + 95 + 107)*(-u + 5*u - 6*u + (5*u - 3*u - u)*(-4 + 3 - 2)).
-1455*u
Expand (60 - 60 - 24*k)*((4 - 3 + 1)*(5*k + 2*k + 3*k)*(-3 + 0 + 0) + 2 - 2 - k + (-2*k + 2*k - k)*(0 - 3 + 5)).
1512*k**2
Expand (58 + 107 - 124)*(-5 - 1 + 21*x + 10*x - 7*x + 3*x).
1107*x - 246
Expand (3615*q - 11143*q**2 - 3615*q)*(2*q - 3*q - 3*q)*(-4*q + 2*q + 3*q).
44572*q**4
Expand 4*i**2 - 2*i**3 - 4*i**2 + (10 - 4 - 20)*(4*i - 16 + 16)*(31*i**2 + 33*i**2 - 50*i**2).
-786*i**3 | {
"pile_set_name": "DM Mathematics"
} |
ctor -549*t**5 + 547*t**5 - 16*t**s + 6*t**4 - 14*t**2 - 18*t**3 - 4*t.
-2*t*(t + 1)**3*(t + 2)
Let f = 9486 - 9481. Let b(x) be the third derivative of 1/20*x**f + 0*x**4 - 2/3*x**3 + 27*x**2 + 0 - 1/120*x**6 + 0*x. Let b(y) = 0. What is y?
-1, 2
Find m, given that 136/5*m + 8 - 42/5*m**4 + 512/5*m**3 - 934/5*m**2 = 0.
-1/7, 1/3, 2, 10
Let m = -31490 - -31492. Let p(a) be the second derivative of -1/3*a**3 - 1/6*a**4 - 15*a + 0 + 6*a**m. Let p(x) = 0. What is x?
-3, 2
Let p be (1/(-15))/(942/(-785)). Let i(x) be the third derivative of 0*x**3 + p*x**4 + 1/180*x**5 + 0 + 0*x + 12*x**2. Let i(k) = 0. Calculate k.
-4, 0
Let t(b) = -b**3 - b**2 + 3*b - 6. Let w(y) = -4*y**3 - 1380*y**2 + 314664*y - 24018014. Let o(l) = 6*t(l) - w(l). Factor o(x).
-2*(x - 229)**3
Let z be 0 - (32 - ((-6)/(-6) - 5)). Let t be 11*2/(-10)*60/z. Factor 43/3*l**2 + 56/3*l**4 + 1/3 + t*l + 16/3*l**5 + 73/3*l**3.
(l + 1)**3*(4*l + 1)**2/3
Suppose 0 = -19*y + 77820 - 77820. Let r(t) be the third derivative of y + 0*t**4 + 0*t**5 + 0*t**3 - 34*t**2 + 0*t - 1/1050*t**7 + 1/600*t**6. Factor r(i).
-i**3*(i - 1)/5
Suppose 2/9*q**3 - 536/3*q - 44*q**2 - 1616/9 = 0. What is q?
-2, 202
Let k(y) = -3*y**2 + 73*y + 20. Let q be k(25). Let a be (5 - (-156)/q)*-2. Solve -6/5*l - a*l**3 - 6/5*l**2 - 2/5 = 0.
-1
Suppose 3*p = -0*q + 5*q + 40, 3*p + 64 = -8*q. Let b(c) be the first derivative of -35/3*c**3 - 5 + p*c**2 + 0*c + 5/4*c**4. Factor b(z).
5*z**2*(z - 7)
Let y = 261341 - 261341. Factor 3/8*j**2 + 27/4*j + y.
3*j*(j + 18)/8
Let g(n) be the first derivative of -3*n**4/16 - 19*n**3/2 - 303*n**2/8 + 105*n - 734. Factor g(m).
-3*(m - 1)*(m + 4)*(m + 35)/4
Let t = -749 + 166. Let g = 586 + t. Factor 4*h**g - 28/3*h**2 + 8/3*h + 0.
4*h*(h - 2)*(3*h - 1)/3
Let d(k) be the second derivative of -k**7/8820 - k**6/140 - 17*k**5/420 - 9*k**4/4 + k**3/6 - k - 5. Let u(s) be the third derivative of d(s). Factor u(b).
-2*(b + 1)*(b + 17)/7
Let j(f) be the second derivative of 2*f**6/15 - 24*f**5/5 + 28*f**4 - 160*f**3/3 - 2*f - 414. Factor j(q).
4*q*(q - 20)*(q - 2)**2
Suppose 771*n + 1952*n = -561*n - 2912 + 12764. Let 0 + 22/17*u + 6/17*u**n - 4*u**2 = 0. Calculate u.
0, 1/3, 11
Let x = 1/132564 + 198845/132564. Determine m so that 9/4*m**3 + 3/4*m**2 - x*m - 3/4*m**5 - 3/4*m**4 + 0 = 0.
-2, -1, 0, 1
Let c(k) = -6*k - 3. Let v be c(-5). Suppose -37 = -4*b - 5*w, -5*b - 3*w + 3 = -v. Find h, given that 12*h**2 + 5*h**3 + h**2 - b*h**2 - 15*h = 0.
-3, 0, 1
Let a(u) be the third derivative of -u**6/180 - 7*u**5/30 + 8*u**4/3 + 115*u**3/6 - 53*u**2. Let x(d) be the first derivative of a(d). Factor x(p).
-2*(p - 2)*(p + 16)
Suppose 96*o - 276 = 87*o - 60*o. Let r(y) be the second derivative of 3 + 0*y**2 + 2/21*y**o + 3/70*y**5 - y + 1/21*y**3. Suppose r(p) = 0. What is p?
-1, -1/3, 0
Let f(w) be the second derivative of -3*w**5/40 + 3*w**4/8 + 34*w**3 + 189*w**2 - 3630*w. Find h, given that f(h) = 0.
-9, -2, 14
Let a(u) be the third derivative of 0 - 98*u**2 - 18/5*u**3 - 7/8*u**4 + 0*u + 1/100*u**5. Determine x, given that a(x) = 0.
-1, 36
Let k(h) be the first derivative of 15*h**4/8 - 41*h**3 + 321*h**2/4 - 45*h + 3335. Factor k(a).
3*(a - 15)*(a - 1)*(5*a - 2)/2
Let r(x) = 86*x**4 + 153*x**3 + 90*x**2 + 2*x + 3. Let p(c) = -343*c**4 - 617*c**3 - 359*c**2 - 8*c - 11. Let a(o) = 3*p(o) + 11*r(o). Factor a(y).
-y*(y + 1)**2*(83*y + 2)
Let a(w) be the second derivative of 3*w**4/4 + 191*w**3/6 + 91*w**2 + 2*w + 359. Factor a(t).
(t + 1)*(9*t + 182)
Let j(v) = -120*v**3 + 770*v**2 + 44830*v. Let w(h) = -7*h**3 + 46*h**2 + 2637*h. Let b(i) = -2*j(i) + 35*w(i). Factor b(x).
-5*x*(x - 31)*(x + 17)
Let q(b) be the third derivative of b**6/840 + 3*b**5/280 - 5*b**4/7 - 11*b**3/6 - 271*b**2. Let g(d) be the first derivative of q(d). Factor g(c).
3*(c - 5)*(c + 8)/7
Let b(v) = -26*v + 187. Let p be b(6). Determine a so that 0*a - 5*a - p - 2*a**2 + 41 - 3*a**2 = 0.
-2, 1
Suppose -49 = -4*b - 9. Factor 2*u**2 - 2*u**2 + 19 - b - 3*u**2 + 6*u.
-3*(u - 3)*(u + 1)
Factor -142/7*x**3 + 0 - 40/7*x + 1424/7*x**2.
-2*x*(x - 10)*(71*x - 2)/7
Let t(v) = v**3 - 3*v**2 - v + 7. Let l be t(3). Factor 5*a**2 - 8*a**2 + 6*a**4 + 0*a**4 - a - 3*a**3 - 7*a**l.
-a*(a + 1)**3
Find o, given that 35 + 173/6*o**2 + 359/6*o + 25/6*o**3 + 1/6*o**4 = 0.
-15, -7, -2, -1
Let q(t) be the first derivative of -t**5/5 + 5*t**4/4 - 8*t**3/3 + 2*t**2 - 2319. Factor q(k).
-k*(k - 2)**2*(k - 1)
Let z be 45/(-63) - 4/((-2128)/779). What is r in 15/2 + z*r**2 - 33/4*r = 0?
1, 10
Let n(f) be the third derivative of -f**6/540 - f**5/27 + 211*f**4/108 + 220*f**3/27 + 2*f**2 - 227*f + 2. Determine j, given that n(j) = 0.
-20, -1, 11
Let x = -283467 + 283467. Factor 1/3*t**3 + x*t**2 + 0 + 0*t.
t**3/3
Let s(o) = 9*o**3 - 15*o**2 + 20*o + 12. Let k(n) = 10*n**3 - 13*n**2 + 20*n + 12. Suppose 0 = 8*i + 49 - 9. Let g(u) = i*s(u) + 4*k(u). Solve g(w) = 0.
-2/5, 2, 3
Factor -9*a**2 + 1223*a - 107*a**4 + 59*a**4 + 57*a**4 - 92*a**3 - 1131*a.
a*(a - 1)*(a + 1)*(9*a - 92)
Factor -126/19*t**3 + 1978/19*t - 332/19 - 2904/19*t**2.
-2*(3*t - 1)**2*(7*t + 166)/19
Let c(g) be the second derivative of -g**9/3024 + g**8/1344 - g**4/12 + 3*g - 3. Let p(y) be the third derivative of c(y). Determine k so that p(k) = 0.
0, 1
Factor -842/13*p + 0 - 2/13*p**2.
-2*p*(p + 421)/13
Let o = -484 - -487. Let 45*k**5 - 40*k**5 - k**4 + 3*k**3 + 11*k**4 + 2*k**o = 0. What is k?
-1, 0
Let t(v) be the third derivative of -v**7/210 - v**6/30 + 13*v**5/6 - 125*v**4/6 + 125*v**3/2 + v**2 + 484*v. Factor t(d).
-(d - 5)**2*(d - 1)*(d + 15)
Let x(i) be the first derivative of -29 - 4*i**2 + 52/3*i**3 + 2/3*i**6 + i**4 - 32*i - 4*i**5. Let x(b) = 0. Calculate b.
-1, 1, 2, 4
Let z(h) be the second derivative of -2*h**6/15 + 380*h**5 - 451250*h**4 + 857375000*h**3/3 - 101813281250*h**2 - 3920*h. Let z(k) = 0. Calculate k.
475
Let 1/3*q**2 - 37/3*q + 12 = 0. What is q?
1, 36
Factor 20*m**2 + 9*m - m**4 + 6*m**2 - 162 + m**2 - 5*m**3 + 20*m**2 - 8*m**2.
-(m - 3)**2*(m + 2)*(m + 9)
Determine b so that 29/3*b**3 - 88 + 1/3*b**4 + 158/3*b**2 + 76/3*b = 0.
-22, -6, -2, 1
Factor -3/2 - 1/6*o**2 + 5/3*o.
-(o - 9)*(o - 1)/6
Let n be -6 + 11/3*(-130)/(-78). Let f(j) be the second derivative of 0*j**5 + 0 - n*j**4 + 9*j + 1/45*j**6 + 1/3*j**2 + 0*j**3. Factor f(o).
2*(o - 1)**2*(o + 1)**2/3
Suppose 4*w + z = 2*w + 2, 0 = -2*z + 8. Let m be (-6 - (-78)/12)/(w/(-8)). Factor -11 - 3 + 4 + 12*r - m + 2*r**2.
2*(r - 1)*(r + 7)
Suppose -k - 3*u - 4 = 0, 0*u = -5*k - 3*u + 4. Factor -5*q**k - 1 + 15448*q + 16 - 15458*q.
-5*(q - 1)*(q + 3)
Let -50/7*v**4 + 0 - 6/7*v - 130/7*v**3 + 58/7*v**2 = 0. Calculate v.
-3, 0, 1/5
Let d(o) = 4*o**2 + 16*o - 556. Let t be d(10). Let a(k) be the first derivative of -1/28*k**t - 16/7*k - 4/7*k**2 + 1/3*k**3 - 23. Solve a(b) = 0.
-1, 4
Let w be 2 + (-17481)/36 - 2/12. Let c = w + 485. Factor 5/4 + 0*f - c*f**2.
-5*(f - 1)*(f + 1)/4
Suppose 23093/3*t**3 - 16224 - 95786/3*t**2 + 40352*t + 308/3*t**4 + 1/3*t**5 = 0. Calculate t.
-156, 1, 2
Let o(t) be the first derivative of 3/4*t**4 - 397953*t + 55 - 153*t**3 + 23409/2*t**2. Factor o(b).
3*(b - 51)**3
Let p(m) = 29*m**2 + 7666*m + 2933780. Let k(z) = 4*z**2 + z. Let r(a) = -6*k(a) + p(a). Suppose r(h) = 0. Calculate h.
-766
Let r be 4*3/24*18*(-38)/(-228). Solve 0 + 0*c**2 + r*c**3 - 3/2*c = 0 for c.
-1, 0, 1
Determine f, given that -52*f + 4/3*f**2 - 816 = 0.
-12, 51
Let b(j) = 5*j**2 - 36*j - 62. Let s be b(-17). Let p = s - 1993. Factor 5/4*f**3 + 25/4 - 25/4*f**p - 5/4*f.
5*(f - 5)*(f - 1)*(f + 1)/4
Let h(q) = 7*q**2 + 294*q - 3. Let z(o) = -31*o**2 - 1176*o + 13. Let r(g) = -26*h(g) - 6*z(g). Solve r(p) = 0.
0, 147
Let b be 0/(6/2) + 3. Suppose -2*g - 5*w + 16 = 0, 2*w = 5*g - 3*w - 40. Suppose -9*k + 16*k**2 + k - g*k - 4*k**b = 0. Calculate k.
0, 2
Let h(v) be the first derivative of -v**5/5 - 13*v**4/2 - 232*v**3/3 - 432*v**2 - 1152*v - 6264. Factor h(s).
-(s + 4)**2*(s + 6)*(s + 12)
Let d = 354 - 350. Let m be (1 - (11/2 - d))*-6. Factor 9/8*o**4 + 9/8*o - 3/8*o**5 - 3/4*o**2 - 3/8 - 3/4*o**m.
-3*(o - 1)**4*(o + 1)/8
Determine q, given that 30/11*q**5 + 628/11*q**3 + 174/11*q - 236/11*q**4 + 36/11 - 632/11*q**2 = 0.
-2/15, 1, 3
Find m such that 23*m**2 - 153*m + m**2 + 153*m + 44768*m**5 - 44728*m**5 + 28* | {
"pile_set_name": "DM Mathematics"
} |
d. What is k(q) + 2*x(q)?
-3*q**3 + 15*q
Let f(u) = -u**3 + 3*u**2 + 3*u. Suppose -5*a = 2*z, 0*a = 5*z + 2*a - 42. Let y(o) = -2*o**3 + 5*o**2 + 5*o. What is z*f(m) - 6*y(m)?
2*m**3
Let t(l) = -l**3 + 5*l**2 + 4*l + 3. Let h(x) = -x**3 + 4*x**2 + 3*x + 3. Suppose -r + 30 = -5*a, 5*r = 5*a + 6*r + 20. Give a*h(y) + 4*t(y).
y**3 + y - 3
Let c(j) = -60*j + 5. Let a(v) = -122*v + 9. Determine -6*a(h) + 11*c(h).
72*h + 1
Let j(k) = 143*k**3 + 4*k**2 + 4*k. Let o(g) = -714*g**3 - 21*g**2 - 21*g. What is 21*j(h) + 4*o(h)?
147*h**3
Let u(j) = 263*j + 3. Let w(v) = -3420*v - 38. Give -38*u(c) - 3*w(c).
266*c
Let a(z) = 2*z**3 + 17*z**2 + 10*z + 7. Let y(t) = -t**3 - 9*t**2 - 5*t - 4. Calculate 6*a(d) + 11*y(d).
d**3 + 3*d**2 + 5*d - 2
Let d(o) be the first derivative of -7*o**2/2 - 6*o + 769. Let j(f) = f + 1. Determine -d(z) - 3*j(z).
4*z + 3
Let f(m) = 6*m + 20. Let n(j) = -10*j - 42. Calculate -13*f(a) - 6*n(a).
-18*a - 8
Let r be ((-36)/(-21))/(3/((-21)/2)). Let m(z) = -6*z**3 + 8*z**2 + 5*z + 5. Let y(q) = 7*q**3 - 9*q**2 - 6*q - 6. Determine r*m(w) - 5*y(w).
w**3 - 3*w**2
Suppose 0 = -5*l - 2*j - 0 - 8, -12 = 4*l + 3*j. Suppose 0 = -l*y + y. Suppose y*p = -p - 1. Let n(i) = -2*i - 1. Let x(a) = -a. What is p*n(m) + 4*x(m)?
-2*m + 1
Let a(j) = -9*j + 8*j - 2*j**3 - 2*j**3 + 5*j**3. Let q be (-107)/(-6) + 6/36. Let c(p) = -21*p**3 + 18*p. Suppose 2*t - 4*t + 2 = 0. What is q*a(w) + t*c(w)?
-3*w**3
Let k(g) = -5*g**2 - 4*g. Let w = 38 - 36. Let y(l) = -l. Let m(s) = s**2 - 3*s. Let h(f) = -m(f) + 4*y(f). Calculate w*h(o) - k(o).
3*o**2 + 2*o
Let c(h) = -39*h - 21. Let k(f) = -f - 2. Give -2*c(q) + 22*k(q).
56*q - 2
Let j(h) = 11*h + 25. Let d(s) = 4*s + 7. Determine 7*d(a) - 2*j(a).
6*a - 1
Let n(s) = -3*s - 7. Let t be (0/(-5))/4*-1. Suppose h - 1 = o, t*o - 3*h - 39 = 4*o. Let y(i) = 3*i + 8. Give o*y(v) - 7*n(v).
3*v + 1
Let d(b) = -10*b**2 + 6*b - 17. Let m(y) = -9*y**2 + 4*y - 12. Let f(r) = -3*d(r) + 4*m(r). Let u(c) = 11*c**2 + 4*c - 5. Give -5*f(w) - 3*u(w).
-3*w**2 - 2*w
Let i(r) = 2. Let m(d) = -d**2 + 9. Let x(n) = 17*n**3 - 2*n**2 + n. Let g be x(1). Suppose 0 = -3*y - 12, 5*y = 5*b - 24 - g. Calculate b*m(t) - 18*i(t).
-4*t**2
Let n = -9 - -11. Let c(l) = -l**2 - l**2 - 2*l - 3 - 2*l**2 - n*l. Suppose -29*t + 10*t + 57 = 0. Let g(f) = -f**2 - f - 1. Give t*g(a) - c(a).
a**2 + a
Let b(n) = -n - 10. Let w(p) = p - 2. Give b(v) - 4*w(v).
-5*v - 2
Let t(a) = 2. Let n(d) = -3*d**3 - 2*d**2 - 15. Calculate -n(g) - 6*t(g).
3*g**3 + 2*g**2 + 3
Let k(b) = -12*b**2 - 13*b. Let c(o) = o**2 + o. Let j = 131 + -125. Determine j*k(q) + 78*c(q).
6*q**2
Let m(v) = 0 - 1 + 0 - 2*v + v. Let w(g) = -8*g - 2. Let x(p) = -8*p - 1. Let i(b) = -5*w(b) + 4*x(b). Give i(f) + 5*m(f).
3*f + 1
Let v(l) be the first derivative of -l**3 + 7*l**2/2 + 4*l - 143. Let i(o) = 5 - 5*o**2 + 11*o - 5 + 6. What is -5*i(u) + 8*v(u)?
u**2 + u + 2
Let r(j) = -2*j**3 + 5. Let a(p) = 20*p**2 + 10 - 20*p**2 + 616*p**3 - 618*p**3 - 4. Determine 5*a(m) - 6*r(m).
2*m**3
Let z(c) = 10*c**3 - 6*c**2 - 6*c. Let v(h) = 3353 - h**2 - h + h**3 - 3353. Suppose 33*w - 31*w + 2 = 0. What is w*z(d) + 6*v(d)?
-4*d**3
Let m(k) = -59*k**2 - 8*k - 8. Let g(d) = 20*d**2 + 3*d + 3. Suppose -311 = -41*r + 17. Give r*g(s) + 3*m(s).
-17*s**2
Let c(k) = 5*k**2 - 4 + 342*k - 342*k. Let u(o) = 4*o**2 - 4. What is 3*c(h) - 4*u(h)?
-h**2 + 4
Let b(d) = -208840*d**3 - 460*d**2 - 460*d + 460. Let l(s) = -1365*s**3 - 3*s**2 - 3*s + 3. Give 3*b(v) - 460*l(v).
1380*v**3
Let d(s) = -4*s**2 - 45*s + 42*s + 19 - 22. Let b(o) = 20*o**2 + 16*o + 16. Suppose 3*a + 5 = -4, 5*x = 3*a - 6. Calculate x*b(g) - 16*d(g).
4*g**2
Let u(g) = -3*g + 1 - 2*g + 0 + 0*g. Let s(z) = z. Suppose 120 - 109 = -11*a. What is a*s(y) - u(y)?
4*y - 1
Let j(c) = 2*c**3 + 4*c**2 - c + 3. Let w(v) = v**2 + 1. Suppose -3*f - 12 = 3*h - 0, 4*f = 2*h + 2. Determine f*j(g) + 3*w(g).
-2*g**3 - g**2 + g
Let h = -44 - -5. Let r = h - -36. Let f(c) = c**2 + 1. Let a(j) = 4*j**3 + 3*j**2 + 3. Determine r*f(p) + a(p).
4*p**3
Let g(f) = 61*f + 7. Let n(z) = -60*z - 8. Determine 7*g(k) + 6*n(k).
67*k + 1
Let b(m) = -1 - 64*m**2 - 69*m**2 + 129*m**2 - 17*m**3 - 3. Let r(n) = 69*n**3 + 15*n**2 + 15. Determine -15*b(t) - 4*r(t).
-21*t**3
Suppose -2*q - 4 = -0. Let t(x) = -2. Let m(i) = i - 4*i + 0*i + i + i + 3. Calculate q*m(n) - 3*t(n).
2*n
Let q(y) = y + 4 - 2*y + 0*y. Let c(x) = 1. Let n(h) = h - 6. Let d be n(8). Suppose 0 = -d*o - 10. Give o*c(r) + q(r).
-r - 1
Let i = 19 - 18. Let u = i - -2. Let c(r) = -4 - u*r + 5*r + 1 - 4*r**2 - 5*r. Let m(t) = -t**2 - t - 1. Calculate -c(w) + 3*m(w).
w**2
Let g(b) = b**3 + 6*b**2 + 3*b + 12. Let h be g(-6). Let f = h + 8. Let l(w) = 9 - 2 - 9. Let n(c) = c - 8. Give f*n(k) - 9*l(k).
2*k + 2
Let y(x) = x**2 - x - 17. Let m be y(5). Let p(r) = -9*r**2 + 7*r + 1. Let v(w) = 5*w**2 - 4*w - 1. What is m*p(f) + 5*v(f)?
-2*f**2 + f - 2
Let r(a) = a + 7. Let q be r(-11). Let j = -2 - q. Let f(z) = -8*z**2 - z + 5. Let h(v) = 4*v**2 - 12*v**2 + 6*v**2 + 1. Determine j*f(o) - 9*h(o).
2*o**2 - 2*o + 1
Let u(w) be the first derivative of 3*w**4/4 + 3*w + 1. Let y(c) = 19*c**2 - 6*c**3 - 19*c**2 - 1 - 4. Suppose 12 + 3 = 3*f. Calculate f*u(a) + 3*y(a).
-3*a**3
Let k(y) = -2*y + 6. Let w(l) = -2*l + 1. Calculate k(v) + 3*w(v).
-8*v + 9
Suppose 0 = -20*s + 9*s + 11. Let f be (0 + -1)/((-1)/4). Let l(t) = 2*t**3 - 1. Let g(q) = -q**3. Give f*g(a) + s*l(a).
-2*a**3 - 1
Let x(s) = 10*s**2 + 9*s + 2. Let m(p) = 18*p**2 + 17*p + 4. Determine -6*m(n) + 11*x(n).
2*n**2 - 3*n - 2
Let p(v) = 10*v**3 + 7*v**2 + 7*v - 7. Suppose -4*d = g + g + 14, 0 = 2*g - 5*d + 14. Let w(a) = 7*a**3 + 5*a**2 + 5*a - 5. What is g*w(f) + 5*p(f)?
f**3
Let c(d) = -2*d**3 - 7*d**2 - 5*d - 94. Let j(m) = 3*m**3 + 11*m**2 + 8*m + 141. Calculate 8*c(w) + 5*j(w).
-w**3 - w**2 - 47
Let f(u) = 80*u**3 + 35. Let o be (2 + -3 + 7)*13/26. Suppose o - 38 = z. Let g(y) = 9*y**3 + 4. Determine z*g(k) + 4*f(k).
5*k**3
Let q(t) = 0*t**2 - 4*t**3 + 4 - t**2 + 4*t**2 - 7. Let c(x) = -4*x**3 + 4*x**2 - 4. What is -3*c(m) + 4*q(m)?
-4*m**3
Let g(y) = -7*y**3 + 5*y**2 + 6*y - 6. Let o = 2274 - 2261. Let a(k) = -14*k**3 + 11*k**2 + 13*k - 13. What is o*g(c) - 6*a(c)?
-7*c**3 - c**2
Let j(k) = 249*k - 9. Let l(n) = 124*n - 4. Determine -3*j(g) + 7*l(g).
121*g - 1
Let h(k) = -k + 2. Suppose 5*n = -17 - 38. Let g be (6 + n)*(1 - 2). Let q(r) = 11. Let t(v) = -v + 11. Let z(f) = g*t(f) - 4*q(f). What is 22*h(m) - 4*z(m)?
-2*m
Let q(w) = 278*w**2. Let l(n) = 108142*n**2. Determine -5*l(v) + 1946*q(v).
278*v**2
Let v(j) = 5*j**3 + 5*j - 3. Suppose -31*r + 15 = -34*r. Let s(u) = -8*u**3 - 7*u + 4. Give r*s(l) - 7*v(l).
5*l**3 + 1
Let w(y) be the second derivative of -5*y**4/4 + y**2/2 + 12*y + 2. Let k(d) = 3*d + 0*d - 3*d - 3*d**2. Determine -11*k(u) + 2*w(u).
3*u**2 + 2
Let k(x) = x**2 - x - 1. Let f(m) = 3*m**3 - 8*m**2 + 9*m + 8. Calculate -3*f(s) - 24*k(s).
-9*s**3 - 3*s
Let s(f) be the third derivative of 5*f**4/12 - 5*f**3/3 - 2*f**2 - 9. Let p(a) = a**2 - a + 1. Determine -10*p(m) - s(m).
-10*m**2
Let y(z) = -z + 2. Let b(u) = -u + 2. Let s(k) = -3*b(k) + 2*y(k). Let v(o) = -1. Let l = 280 + -279. What is l*s(d) + v(d)?
d - 3
Let u be (1 - -2)*3/9*-9. Let h(z) = -z**2 - 2*z - 1. Let k(v) = -4 + 4*v - 4*v - 5*v**2 - 9*v. Give u*h(f) + 2*k(f).
-f**2 + 1
Let l(g) = 31*g**3 - 2*g**2 + 27. Let d(i) = 16*i**3 - i**2 + 12. Give -9*d(k) + 4*l(k).
-20*k**3 + k**2
Let w(u) be the third derivative of -u**4/6 - 4*u**3 + 69*u**2. Let p(m) = -2. What is 24*p(b) - 2*w(b)?
8*b
Let y(q) = 3*q**3 - 10*q**2 + 1. Let d(c) = -3*c**3 + 10*c**2 - 1. What is -3*d(a) - 4*y(a)?
-3*a**3 + 10*a**2 - 1
Let u(s) = -4*s**3 - 3*s - 3. Let w(h) = -9*h**3 - 7*h - 7. Let a = -141 - -148. What is a*u(d) - 3*w(d)?
-d**3
Let v(p) = -12*p**2 + 10*p - 1. Let g be v(1). Let w(z) = -17*z**2. Let x(n) = 6*n**2. Give g*w(m) - 8*x(m).
3*m**2
Let a(m) = 5*m + 28. Let r(q) = -4*q - 31. Give 3*a(o) + 2*r(o).
7*o + 22
Suppose -3*m + 6 = -6*m. Let o(c) = 2*c - 2. Let s(t) = -6*t + 7. Determine m*s(r) - 7*o(r).
-2*r
Let z(j) = -j**3 + 10*j**2 + 27. Let u(p) = p**3 - 9*p**2 - 28. Determine -7*u(x) - 6*z(x).
-x**3 + 3*x**2 + 34
Let p(m) = -m**2. Let c(d) = 16*d**3 + 6*d**2 - 3*d. Determine c(i) + 6*p(i).
16*i**3 - 3*i
Let | {
"pile_set_name": "DM Mathematics"
} |
hout replacement from oohoooohhoo?
56/165
Two letters picked without replacement from {w: 3, s: 2, e: 1, u: 10, b: 1}. What is prob of picking 1 u and 1 w?
15/68
Four letters picked without replacement from {u: 12, e: 1, f: 6}. What is prob of picking 1 u, 2 f, and 1 e?
15/323
Three letters picked without replacement from gggggygyggggggy. Give prob of picking 3 g.
44/91
Four letters picked without replacement from {i: 4, a: 1, e: 5, b: 1, u: 2, z: 2}. What is prob of picking 1 z, 1 u, and 2 e?
8/273
Four letters picked without replacement from {h: 2, x: 1, k: 4, i: 4, o: 3}. Give prob of picking 3 i and 1 h.
8/1001
What is prob of picking 1 o, 1 b, and 1 c when three letters picked without replacement from {t: 1, c: 1, b: 2, l: 1, o: 1, m: 1}?
2/35
Four letters picked without replacement from {w: 7, b: 6}. Give prob of picking 3 b and 1 w.
28/143
What is prob of picking 4 o when four letters picked without replacement from {o: 9}?
1
Three letters picked without replacement from {z: 1, i: 3, w: 6, n: 1, x: 4}. Give prob of picking 3 w.
4/91
What is prob of picking 2 a when two letters picked without replacement from {y: 1, a: 4, z: 2}?
2/7
Three letters picked without replacement from {u: 1, j: 5, b: 1, p: 3, c: 2, d: 1}. Give prob of picking 1 c, 1 p, and 1 j.
15/143
What is prob of picking 2 i when two letters picked without replacement from hhhhvihihhvhh?
1/78
Calculate prob of picking 1 n and 1 u when two letters picked without replacement from uqnqnnuqq.
1/6
Four letters picked without replacement from wwbwwbbwbbbbwwwwwwbb. What is prob of picking 2 w and 2 b?
132/323
Four letters picked without replacement from lbllbtllbbtblbllbl. Give prob of picking 2 l and 2 t.
1/85
Three letters picked without replacement from {s: 2, r: 1, t: 2, z: 2, g: 1}. Give prob of picking 1 t, 1 s, and 1 r.
1/14
What is prob of picking 1 f, 2 w, and 1 z when four letters picked without replacement from {w: 4, l: 7, z: 5, f: 3}?
15/646
What is prob of picking 1 g and 2 y when three letters picked without replacement from {s: 2, p: 3, i: 1, g: 2, y: 4}?
3/55
Two letters picked without replacement from {z: 4, g: 2}. What is prob of picking 2 g?
1/15
Calculate prob of picking 1 o, 2 w, and 1 u when four letters picked without replacement from {w: 5, o: 1, f: 3, n: 3, u: 4, z: 1}.
2/119
Three letters picked without replacement from zjpzizziziijzjzb. What is prob of picking 1 j, 1 p, and 1 i?
3/140
What is prob of picking 1 l and 2 a when three letters picked without replacement from {a: 7, l: 4}?
28/55
Two letters picked without replacement from ttvvttvmnttuy. What is prob of picking 2 t?
5/26
Three letters picked without replacement from tttzztztzt. What is prob of picking 3 t?
1/6
Four letters picked without replacement from {l: 4}. What is prob of picking 4 l?
1
Three letters picked without replacement from {z: 2, s: 4, j: 4}. Give prob of picking 1 s and 2 j.
1/5
Two letters picked without replacement from {a: 3, q: 5}. Give prob of picking 1 q and 1 a.
15/28
What is prob of picking 2 l when two letters picked without replacement from ulzrclzzrgzlzrlrr?
3/68
What is prob of picking 2 u and 2 m when four letters picked without replacement from zuumzuummmu?
2/11
Two letters picked without replacement from {w: 7, a: 2, h: 3}. Give prob of picking 2 a.
1/66
Calculate prob of picking 2 e and 1 g when three letters picked without replacement from geiiegkkigikgki.
4/455
Calculate prob of picking 2 t when two letters picked without replacement from {u: 3, h: 6, t: 6}.
1/7
What is prob of picking 1 o and 3 s when four letters picked without replacement from ddsopdsppssppnopbd?
2/765
Four letters picked without replacement from {l: 4, u: 7}. What is prob of picking 1 u and 3 l?
14/165
Calculate prob of picking 3 l when three letters picked without replacement from {l: 3, f: 3, i: 2, w: 1, d: 1, k: 8}.
1/816
What is prob of picking 1 n, 1 r, and 1 w when three letters picked without replacement from wwnarnwwxaawe?
5/143
What is prob of picking 3 n when three letters picked without replacement from ononnno?
4/35
Three letters picked without replacement from nssnhnnhhscchsh. Give prob of picking 1 c, 1 s, and 1 n.
32/455
Three letters picked without replacement from otottti. Give prob of picking 1 o, 1 t, and 1 i.
8/35
What is prob of picking 2 d when two letters picked without replacement from {d: 4, o: 16}?
3/95
Calculate prob of picking 3 w when three letters picked without replacement from jjjwjjjjwjjjwwjdw.
1/68
Two letters picked without replacement from {e: 1, w: 2, k: 2, y: 1}. Give prob of picking 1 y and 1 w.
2/15
Four letters picked without replacement from dddsds. What is prob of picking 4 d?
1/15
What is prob of picking 2 e and 1 z when three letters picked without replacement from {e: 7, o: 4, z: 5}?
3/16
Calculate prob of picking 2 p, 1 d, and 1 i when four letters picked without replacement from ruuipkpuipipdurppp.
7/340
Calculate prob of picking 1 z and 1 q when two letters picked without replacement from cziiq.
1/10
Calculate prob of picking 1 y, 1 q, and 1 c when three letters picked without replacement from {j: 1, c: 1, q: 1, y: 2, v: 1, z: 1}.
2/35
Three letters picked without replacement from {q: 3, d: 1, l: 4}. What is prob of picking 2 l and 1 d?
3/28
Four letters picked without replacement from ygoyumummoomoumm. Give prob of picking 1 y, 2 m, and 1 u.
9/182
Calculate prob of picking 3 j when three letters picked without replacement from juuujuuuujuuijuuuiju.
1/114
What is prob of picking 1 l and 1 g when two letters picked without replacement from lggllgglllgllllllll?
70/171
What is prob of picking 1 w and 3 c when four letters picked without replacement from {q: 1, c: 2, w: 4, y: 7, f: 3}?
0
Calculate prob of picking 3 z when three letters picked without replacement from zazdzziiaagdzzzzdi.
7/102
What is prob of picking 1 y and 1 p when two letters picked without replacement from {y: 1, p: 2, g: 2}?
1/5
What is prob of picking 1 g and 1 x when two letters picked without replacement from axsaaaaagaaaxaaggaa?
2/57
Three letters picked without replacement from {z: 2, e: 1, m: 2}. Give prob of picking 1 e and 2 z.
1/10
What is prob of picking 1 a and 1 z when two letters picked without replacement from {a: 10, z: 2}?
10/33
Three letters picked without replacement from {x: 2, a: 4, g: 3, c: 2}. What is prob of picking 1 a and 2 g?
4/55
Three letters picked without replacement from {q: 5, j: 3, d: 2}. Give prob of picking 1 j and 2 q.
1/4
What is prob of picking 1 g and 2 b when three letters picked without replacement from {x: 1, g: 3, j: 1, v: 6, u: 3, b: 4}?
3/136
What is prob of picking 2 u and 1 i when three letters picked without replacement from usuiuiumt?
1/7
What is prob of picking 3 m when three letters picked without replacement from {d: 1, m: 14}?
4/5
Two letters picked without replacement from jqnnnnfjnnnbnnnjfnn. What is prob of picking 1 q and 1 b?
1/171
Calculate prob of picking 1 x and 1 z when two letters picked without replacement from {m: 1, z: 1, w: 1, u: 2, h: 1, x: 2}.
1/14
What is prob of picking 2 p when two letters picked without replacement from {f: 5, p: 5}?
2/9
Two letters picked without replacement from {x: 4, s: 2, a: 5}. What is prob of picking 1 x and 1 s?
8/55
Calculate prob of picking 2 q when two letters picked without replacement from {q: 2, j: 3}.
1/10
Three letters picked without replacement from {m: 3, i: 2, p: 2, g: 1, e: 2, b: 10}. What is prob of picking 1 m and 2 b?
9/76
What is prob of picking 1 d and 1 z when two letters picked without replacement from dddzzz?
3/5
Three letters picked without replacement from xppxxdx. What is prob of picking 2 p and 1 d?
1/35
What is prob of picking 4 o when four letters picked without replacement from ovooooovxovvyovyvv?
7/306
What is prob of picking 1 i and 2 r when three letters picked without replacement from ssuuxururxrruxsrsxis?
1/114
What is prob of picking 1 t and 1 v when two letters picked without replacement from {w: 3, v: 5, k: 3, t: 2}?
5/39
Calculate prob of picking 1 k, 1 l, and 1 s when three letters picked without replacement from {l: 4, s: 2, k: 5}.
8/33
What is prob of picking 3 i when three letters picked without replacement from {t: 2, i: 7, z: 6}?
1/ | {
"pile_set_name": "DM Mathematics"
} |
*2 + 138*o. Factor q(l).
-2*(l - 1)*(l + 1)*(13*l + 2)
Let f be 4/35*(-1725)/(-230). Let f*j**3 + 0 - 10/7*j**4 + 4/7*j**2 + 0*j = 0. Calculate j.
-2/5, 0, 1
Let i(c) be the first derivative of c**6/6 - 43*c**5/20 + 133*c**4/16 - 7*c**3/3 - 34*c**2 - 16*c + 64. Factor i(n).
(n - 4)**3*(n + 1)*(4*n + 1)/4
Let 13/4*o**2 + 3 - 13/4*o**3 + 13*o - o**4 = 0. Calculate o.
-3, -2, -1/4, 2
Let c(d) be the third derivative of -d**6/600 + d**5/60 + 17*d**4/120 - 7*d**3/10 + 334*d**2. Factor c(s).
-(s - 7)*(s - 1)*(s + 3)/5
Let a(d) be the third derivative of -d**7/126 - d**6/6 - d**5 - 2*d**2 - 5*d. Factor a(b).
-5*b**2*(b + 6)**2/3
Let r(u) be the first derivative of -2/21*u**3 - 23 + 2/7*u**2 + 0*u - 3/14*u**4. Factor r(z).
-2*z*(z + 1)*(3*z - 2)/7
Let u = -226 - -304. Let m be 82/26 + (-6 - (-456)/u). Factor -32/5*c**2 + 96/5*c + 12/5*c**4 - 64/5 - 16/5*c**m - 2/5*c**5.
-2*(c - 2)**4*(c + 2)/5
Suppose -5*h - 2*u = -23, -6 = -2*h + u - 5*u. Suppose -4*k + r = -h*k + 7, -k + 4*r = 13. What is a in a**k + 0 - a + 1/2*a**2 - 1/2*a**4 = 0?
-1, 0, 1, 2
Let k(c) be the second derivative of -c**5/25 + 7*c**4/5 + 128*c + 2. Factor k(v).
-4*v**2*(v - 21)/5
Let q be 4 - -1 - 1049/210. Let o(r) be the third derivative of 0*r + 2/21*r**3 - 4*r**2 + 1/28*r**4 + 0 + q*r**5. Factor o(c).
2*(c + 1)*(c + 2)/7
Let w(p) = -4*p**4 + 24*p**3 - 116*p**2 - 8*p - 16. Let r(s) = -s**4 - s**2 - s - 2. Let g(k) = -8*r(k) + w(k). Factor g(n).
4*n**2*(n - 3)*(n + 9)
Determine h, given that -24/7*h - 3/7*h**4 + 12/7 + 9/7*h**2 + 6/7*h**3 = 0.
-2, 1, 2
Let m be -22 + 20 - (-7 + 1). Let a(y) be the second derivative of -m*y + 0 - 1/60*y**6 + 1/24*y**4 - 1/20*y**5 + 0*y**2 + 1/6*y**3. What is j in a(j) = 0?
-2, -1, 0, 1
Let c(o) = -3*o**2 - 18*o - 18. Let s(h) = -3*h**2 - 17*h - 18. Let i(w) = -4*c(w) + 3*s(w). Find x, given that i(x) = 0.
-6, -1
Let j be ((-2)/(-3))/((-532)/147 + 4) + -1. Determine f so that -j*f**2 + 3*f - 3 = 0.
2
Let u(z) = -17*z**2 - 35*z - 11. Let h(v) = -84*v**2 - 174*v - 54. Suppose 0 = -4*r - 2*r + 84. Let c(j) = r*u(j) - 3*h(j). Determine q, given that c(q) = 0.
-2, -2/7
Suppose 0*q = 21*q - 84. Solve -423*k**q + 0 + 421*k**4 + 0 - k**5 = 0.
-2, 0
Let l be 15/12 - 276/240. Let m(i) be the second derivative of 1/6*i**4 + 0 + 7*i + 1/3*i**3 - i**2 - l*i**5. Factor m(b).
-2*(b - 1)**2*(b + 1)
Factor 4/3*x**2 + 0 - 140/3*x.
4*x*(x - 35)/3
Suppose 6 = -2*g, -229*x + g + 11 = -225*x. Factor 50/13 + 2/13*b**x + 20/13*b.
2*(b + 5)**2/13
Let n(i) be the second derivative of 1/2*i**2 + 0 + 1/24*i**4 + 8*i - 1/4*i**3. Solve n(k) = 0 for k.
1, 2
Let n(w) be the first derivative of -4*w**3/9 + 46*w**2/3 - 120*w - 376. Determine g, given that n(g) = 0.
5, 18
Let y(m) be the third derivative of -m**5/20 + m**4/8 + m**3/3 - 6*m**2. Let o(b) = 48*b**2 - 48*b - 33. Let p(r) = -2*o(r) - 33*y(r). Factor p(i).
3*i*(i - 1)
Let a(z) be the first derivative of z**4/10 - 78*z**3/5 + 231*z**2/5 - 46*z + 118. Factor a(n).
2*(n - 115)*(n - 1)**2/5
Let d(y) be the second derivative of y**5/18 + 47*y**4/54 + 5*y**3/9 - 3*y**2 + 254*y. Let d(j) = 0. Calculate j.
-9, -1, 3/5
Let c(t) be the first derivative of -4/9*t**3 + 0*t + 1/3*t**4 + 4/15*t**5 + 9 - 2/3*t**2. Factor c(k).
4*k*(k - 1)*(k + 1)**2/3
Let j(s) be the second derivative of 4/3*s**4 + 10/3*s**3 - 3/5*s**5 + 0 + 14*s - 4*s**2. Factor j(z).
-4*(z - 2)*(z + 1)*(3*z - 1)
Suppose 0 = 58*h + 18*h. Find m, given that 6/7*m**3 + 4/7*m**2 + h - 2/7*m = 0.
-1, 0, 1/3
Suppose -150 = -40*b + 34*b. Suppose -38*q - b = -43*q. Determine r, given that -4/5*r**4 + 0 + 0*r - 2*r**3 + 4/5*r**2 + 2*r**q = 0.
-1, 0, 2/5, 1
Let m = -259456094/57157695 - 2068/56313. Let h = -2/435 - m. Factor 2*y**2 + 8/7 + h*y.
2*(y + 2)*(7*y + 2)/7
Let a(l) = -l - 9. Let m be a(-9). Let b(x) be the second derivative of m + 1/54*x**4 + 5*x + 2/27*x**3 + 1/9*x**2. Find o such that b(o) = 0.
-1
Factor 6*g**2 + 17/2*g + 3.
(3*g + 2)*(4*g + 3)/2
Determine z so that 2/13*z**2 - 54/13*z - 2/13 + 54/13*z**3 = 0.
-1, -1/27, 1
Suppose 2*z - 4 = -18. Let p be (1/(12/(-9)))/(z/28). Factor 1/5*l + 0 - 1/5*l**p - 1/5*l**2 + 1/5*l**4.
l*(l - 1)**2*(l + 1)/5
Let s be (-30)/(-135) - 82/6*(-4)/24. Suppose 0 + 5*r - 15/2*r**2 - s*r**5 + 15/2*r**4 - 5/2*r**3 = 0. What is r?
-1, 0, 1, 2
Let u(m) be the second derivative of m**4/48 + 47*m**3/12 + 2209*m**2/8 - 174*m. Solve u(s) = 0 for s.
-47
Let r = 39 - 30. Factor r*y**2 + y**3 - 2 - 4*y - 7*y**2 + 3*y.
(y - 1)*(y + 1)*(y + 2)
Suppose 0 = 6*z + 428 + 1756. Let g be (z/21)/13 + (3 - 1). Factor -2*n - g*n**2 + 0.
-2*n*(n + 3)/3
Let c(a) be the third derivative of 1/12*a**3 + 0*a - 1/480*a**6 + 3*a**2 + 1/80*a**5 + 5/96*a**4 - 1/840*a**7 + 0. Find o, given that c(o) = 0.
-1, 2
Let n(p) = -3*p - 36. Let i be n(-8). Let b be 210/(-60)*i/7. Factor 3*q + b*q**2 + 3/4*q**4 + 15/4*q**3 + 0.
3*q*(q + 1)*(q + 2)**2/4
Let m(c) be the first derivative of -5*c**4/4 - 25*c**3 + 85*c**2 + 584. Factor m(p).
-5*p*(p - 2)*(p + 17)
Let v be (-84)/(-17) - 25*(-28)/(-175). Factor -2/17*s**3 + v + 8/17*s - 4/17*s**2.
-2*(s - 2)*(s + 2)**2/17
What is r in 378*r + 10*r**3 - 8*r**3 + 1800*r - 132*r**2 = 0?
0, 33
Let l = -1/4291 - -34337/38619. Factor -l*q**2 - 2/9*q**3 - 8/9*q + 0.
-2*q*(q + 2)**2/9
Let z(f) be the third derivative of f**5/270 + f**4/9 - 45*f**2. Suppose z(d) = 0. Calculate d.
-12, 0
Let n(i) be the first derivative of -5/4*i**4 + 11 - 5*i + 5/3*i**3 + 5/2*i**2. What is l in n(l) = 0?
-1, 1
Let x(l) be the second derivative of 0 + 0*l**2 + 4/45*l**5 + 19*l + 2/189*l**7 + 0*l**3 - 8/135*l**6 + 0*l**4. Factor x(q).
4*q**3*(q - 2)**2/9
Determine p so that 3*p**2 + 1/2*p**4 + 5/2*p**3 + 0*p + 0 = 0.
-3, -2, 0
Suppose -4*f + 3*f = 8. Let o be f/(-6) - 10/(-60). Suppose 0*n - o*n**2 + 0 - 3/2*n**3 = 0. Calculate n.
-1, 0
Let z = 2085 + -2082. Let k(p) be the second derivative of 0 + 0*p**z - 2/3*p**4 + 0*p**2 - 11*p - 2/15*p**6 + 3/5*p**5. Find f such that k(f) = 0.
0, 1, 2
Let b be (-22)/(-8) + (-1)/(-4 - 0). Let g be (-1)/(-5)*(b - 1). Factor 0*j - g + 2/5*j**2.
2*(j - 1)*(j + 1)/5
Suppose -3*d = -11 - 4. Let 29*x**5 + 25*x**2 + 64*x**d - x**2 - 159*x**3 - 90*x**4 + 12*x - 12*x**5 = 0. Calculate x.
-1, -2/9, 0, 1/3, 2
Let r = 61 - 41. Let l be 4/5*r/8. Factor -3*h**l - 15/2*h**3 + 3 + 15/2*h.
-3*(h - 1)*(h + 1)*(5*h + 2)/2
Let r(v) = -v**5 + v**4 - v**2. Let w(b) = -2*b**5 + 14*b**4 - 12*b**3 - 22*b**2 + 16*b. Let c = 30 - 31. Let f(k) = c*w(k) + 6*r(k). Factor f(i).
-4*i*(i - 1)**2*(i + 2)**2
Suppose 0 = -13*f + 55 + 10. Suppose -20*b**3 + 2*b**4 - 3*b**2 + 12*b**3 - f*b**4 + 2*b = 0. What is b?
-2, -1, 0, 1/3
Let q(w) be the second derivative of 1/8*w**3 - 1/48*w**4 + 0*w**2 + w + 0. Suppose q(c) = 0. What is c?
0, 3
Factor 46*n**2 - 1 + 457*n - 14*n**3 - 254*n + 9 + 3*n**3 - 255*n.
-(n - 2)**2*(11*n - 2)
Suppose 4 = -13*c + 14*c. Suppose -c*u = -5*u. Determine r, given that u - 1/5*r**2 - 1/5*r = 0.
-1, 0
Let g(r) be the second derivative of -r**7/5040 - r**6/720 + 11*r**3/3 + 11*r. Let d(h) be the second derivative of g(h). Let d(t) = 0. What is t?
-3, 0
Let h(t) be the first derivative of 2*t**6/3 - 32*t**5/5 + 13*t**4 + 88*t**3/3 - 64*t**2 - 128*t + 886. Suppose h(c) = 0. What is c?
-1, 2, 4
Let v = -357 - -1799/5. Let i = 18/5 - v. Solve -i*g**2 - 121/5*g**4 + 0 + 44/5*g**3 + 0*g = 0.
0, 2/11
Let l(g) be the third derivative of 0*g + 0 - 1/315*g**7 - 1/90*g**6 - 11*g**2 + 1/9*g**3 + 0*g**5 + 1/18*g**4. Solve l(i) = 0 for i.
-1, 1
Let n(x) be the second derivative of x**7/42 + 11*x**6/15 - 5*x**5 + 26*x**4/3 + 42*x + 3. Find r, given that n(r) = 0.
-26, 0, 2
Let t(k) be the first derivative of -k**6/3 - 6*k**5/5 - k**4 + 65. Factor t(q).
-2*q**3*(q + 1)*(q + 2)
Let s = 644 - 639. Let z(v) be the second derivative of -2/9*v**3 - 1/45*v**6 + 0*v**2 - 1/5*v**s + 2/63*v**7 + 7/18*v**4 + 0 - v. Suppose z(j) = 0. What is j?
-2, 0, 1/2, 1
Let l = -149 - -153. Let g(y) be the first derivative of 8/21*y**3 - 3/7*y**4 + 0*y + 0*y**2 - l. Determine h, given that g(h) = 0.
0, 2/3
Let j(k) be the first derivative of 3*k**5/40 - k**4/2 - k**3/4 + 3*k**2 + 17*k - 17. Let l(q) be the first derivative of j(q). Factor l(z).
3*(z - 4)*(z - 1)*(z + 1)/2
Suppose -3*v + 82 = 7. Suppose -4*h + v + 63 = 0. Suppose 8*c + 4*c - 10*c + 70*c**3 - 50*c**4 - h*c** | {
"pile_set_name": "DM Mathematics"
} |
rivative of 485576932*a*v - 12447*a + 2417 wrt v?
485576932*a
Find the third derivative of -166398694*c**3 + 371*c**2 - 16*c + 166.
-998392164
Find the third derivative of 4594109*u**5 + 7*u**3 + 5*u**2 + 2683970*u + 2 wrt u.
275646540*u**2 + 42
Find the third derivative of -87*i**6 - 228784*i**3 - 973256574*i**2.
-10440*i**3 - 1372704
What is the third derivative of 17*q**4 + 198538*q**3 - 1290517*q**2 wrt q?
408*q + 1191228
What is the second derivative of 671404101*h*l**2 - 3609599*h*l + 37*h wrt l?
1342808202*h
Find the third derivative of -747824*c*q**3 - 11396*c*q**2 + 41*c + 39*q**4 + 26*q**2 wrt q.
-4486944*c + 936*q
Differentiate -116690*q*w + 272*q + 241*w + 167016 with respect to w.
-116690*q + 241
What is the derivative of 138746355*k*v**3 + 2*k*v**2 + 2*k*v + 2654984*v**3 - 49*v wrt k?
138746355*v**3 + 2*v**2 + 2*v
What is the second derivative of -16*a**2*f*o + 94059*a**2*f - a**2*o - a**2 + 3*a*o + 772*a - 2*f*o - 10*f - 24 wrt a?
-32*f*o + 188118*f - 2*o - 2
What is the second derivative of -1043*j**5 + 5575*j**3 + j**2 + 133752990*j wrt j?
-20860*j**3 + 33450*j + 2
Find the second derivative of -10521198*v**2 - 127712861*v wrt v.
-21042396
Find the third derivative of 3495424*c**2*k**3 + c**2*k**2 + 58*c**2 - c*k**3 - k**3 + 3*k**2 + 42 wrt k.
20972544*c**2 - 6*c - 6
What is the second derivative of 6303537*r**2 + 262*r - 3251 wrt r?
12607074
What is the second derivative of -k**4*v**2 + 4397837*k**2*v**3 - 8*k*v**3 + 2*k*v**2 - k*v - v**3 - 30139 wrt k?
-12*k**2*v**2 + 8795674*v**3
Find the second derivative of 334732*n*v**3 + 34*n*v**2 + 9366700*n*v wrt v.
2008392*n*v + 68*n
Find the first derivative of -2005573*r**2 + 7*r + 11524785 wrt r.
-4011146*r + 7
What is the third derivative of 4*f*v**4 - 2*f*v**3 + 27043*f*v**2 + 740*f - 2343*v**4 + 109*v**3 wrt v?
96*f*v - 12*f - 56232*v + 654
Find the third derivative of -84719523*j**4 - 2*j**3*x + 22*j**2*x + 2*j**2 - 8*j*x - j - 2039*x - 9 wrt j.
-2033268552*j - 12*x
What is the first derivative of 218*b**4 - 2*b**3 + 184366*b + 176835787 wrt b?
872*b**3 - 6*b**2 + 184366
What is the third derivative of 17231704*g**2*z**3 + 3*g**2*z**2 + 36*g**2*z - 468064*g*z**2 + 2*z**3 wrt z?
103390224*g**2 + 12
What is the second derivative of -346868233*c**5 - 94796050*c wrt c?
-6937364660*c**3
Differentiate 181*i**2*m + 8609*i**2 + 16349*i*m - 5*m - 808 wrt m.
181*i**2 + 16349*i - 5
Find the third derivative of -7*l**5 + 63004*l**4 + 13893042*l**2 wrt l.
-420*l**2 + 1512096*l
What is the second derivative of -59637760*g**2 - 254893*g wrt g?
-119275520
Find the third derivative of 61*c*p*t**3*u - 4*c*p*t**2 - 78*c*t**3*u - 2*c + 337*p*t**2*u - 2*p*t + 3*p*u - p + 268*t**3*u wrt t.
366*c*p*u - 468*c*u + 1608*u
Find the third derivative of 2*c**4*p - 467342*c**4 + 2*c**2*p - c*p + 4615255*c - 2*p wrt c.
48*c*p - 11216208*c
Find the second derivative of u**3*x**2 - 2*u**3 + 2*u**2*x + 46218*u**2 - 12775959*u*x**3 - 65 wrt x.
2*u**3 - 76655754*u*x
What is the first derivative of -2706495*g**2 + 3*g + 16190629 wrt g?
-5412990*g + 3
Find the third derivative of -268043955*j**3 - 93841640*j**2.
-1608263730
What is the second derivative of -2655157*b**2 - 5569*b + 18 wrt b?
-5310314
What is the third derivative of -1186576*n**2*y**3 + 2345*n**2*y**2 - 1377*n*y**2 - 18*y**3 wrt y?
-7119456*n**2 - 108
Find the first derivative of 85550203*v - 95741104 wrt v.
85550203
What is the first derivative of 12785618*l**3 + 24446525 wrt l?
38356854*l**2
Find the second derivative of -1160*u**4 + 4551*u**3 - u**2 - u + 34695514.
-13920*u**2 + 27306*u - 2
What is the first derivative of -549296494*k - 19913054 wrt k?
-549296494
What is the derivative of 14*l*m - 7309626*l + 44288*m wrt m?
14*l + 44288
What is the second derivative of 17479295*v**4 - 29092018*v?
209751540*v**2
Differentiate 3301294*x + 11989920.
3301294
What is the second derivative of -8*c*o*p**3 + c*o*p**2 + c*o*p - 196*c*o + 142*c*p - 61944*o*p**2 wrt p?
-48*c*o*p + 2*c*o - 123888*o
Differentiate -k*z**4 + 98715091*k*z**2 + 122305513*k with respect to z.
-4*k*z**3 + 197430182*k*z
What is the derivative of -37943087*g**2 + 61005335 wrt g?
-75886174*g
Find the second derivative of -37149944*y**3 + 5*y**2 - 480308709*y wrt y.
-222899664*y + 10
What is the third derivative of 121234657*a**5 + 69555115*a**2?
7274079420*a**2
What is the third derivative of 116349182*m**3 + m**2 - 43*m - 25566?
698095092
Differentiate 3377647*a**4*v**2 - 7201095*v**2 wrt a.
13510588*a**3*v**2
Differentiate 585556669*j**3 - 1394286373 wrt j.
1756670007*j**2
What is the derivative of 4*l*o**3*v - 5*l*o + 27*o**3*v - 15*o**3 + 7091*o**2 - o*v + 10776*v wrt v?
4*l*o**3 + 27*o**3 - o + 10776
What is the second derivative of -87*b**2*t**2 - 10747*b**2*t - 57858*b*t**2 + 1022*b*t - 2*t**2 wrt t?
-174*b**2 - 115716*b - 4
Find the third derivative of -213*t**4 + 6934*t**3 - 257*t**2 - 2*t + 1039.
-5112*t + 41604
Find the third derivative of -90*x**5 + 310458*x**3 + 10954392*x**2.
-5400*x**2 + 1862748
Find the second derivative of 93179441*s**2 - 8*s - 1470939 wrt s.
186358882
Find the second derivative of -102711979*i**2 - 331181*i - 179 wrt i.
-205423958
Find the second derivative of -245611636*s*v**4 - 83*s + 131*v + 4751 wrt v.
-2947339632*s*v**2
Find the first derivative of 5*j*y**2 + 17375*j*y + 588828495*j - 6*y**2 - 119*y wrt y.
10*j*y + 17375*j - 12*y - 119
What is the third derivative of -16514904*g**3*n**6 + g**3*n**2 + 7*g**3*n + 126*g**2 - 196*g*n**2 wrt n?
-1981788480*g**3*n**3
Find the third derivative of -1739*z**6 - 1804*z**4 - 3519*z**2 + 2416*z + 1.
-208680*z**3 - 43296*z
Find the third derivative of 47851*r**4 - 2681*r**2 - 922.
1148424*r
What is the second derivative of 117*b**3*s**2 + 127302*b**3 + 1846*b**2*s**2 - 155*b**2*s + 8*s**2 wrt s?
234*b**3 + 3692*b**2 + 16
What is the second derivative of -o**2*z**2 - 9*o**2*z - 2*o**2 + 2*o - 4*z**3 - 65856*z**2 - 4*z + 26105 wrt z?
-2*o**2 - 24*z - 131712
Find the third derivative of -4323*b**4*f + 2*b**4 + b**3*f - 74*b**3 + 2757*b**2*f + 983*f wrt b.
-103752*b*f + 48*b + 6*f - 444
What is the third derivative of 141977962*t**3 + 10*t**2 - 546664 wrt t?
851867772
What is the first derivative of 304809933*a*y**2 - 14*y**2 + 957*y - 350 wrt a?
304809933*y**2
Find the second derivative of -11805713*h*n**2 - h*n - 11630786*h wrt n.
-23611426*h
What is the second derivative of -247*w**3 + 914962*w**2 + 706364897*w?
-1482*w + 1829924
Find the third derivative of 10536265*f**3 + 15936095*f**2 wrt f.
63217590
Differentiate -7937125*z - 2630489.
-7937125
Differentiate -7*x**2 + 2790565*x - 11029892 wrt x.
-14*x + 2790565
What is the derivative of -1779*o*q*t**2 + 5939*o*q + 2*o + 40772*q*t**2 + 795*q*t wrt o?
-1779*q*t**2 + 5939*q + 2
Find the third derivative of 195513401*f**4 - f**3 - 291*f**2 + 23*f - 20 wrt f.
4692321624*f - 6
What is the second derivative of -6387*y**3*z**3 + 686*y**3*z - 402*y**3 + 2*y**2*z + 1824*y*z**3 wrt z?
-38322*y**3*z + 10944*y*z
What is the third derivative of 1181042949*j**4 - 2722774*j**2 + 93*j?
28345030776*j
Differentiate 98728*k**3*n*u + 418*k**3*n + 22*k**3 + k**2*u - 5*k**2 + 8*k + n*u + 3*u - 69 with respect to n.
98728*k**3*u + 418*k**3 + u
Differentiate -3*g*s - 67736779*g + 12902678*s**2 wrt s.
-3*g + 25805356*s
Find the third derivative of -4*b**2*m**3*u**2 - 2*b**2*m*u**2 + 2*b**2*m + 47*b**2*u**2 + 4*b**2*u - 2*b*m**2*u - 1286*b*u**3 + 17889250*m**3*u**3 wrt m.
-24*b**2*u**2 + 107335500*u**3
Find the second derivative of 9591*d**2*f**5 - 462*d**2*f**3 + 26186228*d**2 - 3*d*f + 3 wrt f.
191820*d**2*f**3 - 2772*d**2*f
What is the first derivative of 14359*k**2*m - 8331245*k**2 + 80*m**2 wrt m?
14359*k**2 + 160*m
What is the second derivative of 65*w**4 - 2122*w**3 + 5*w**2 - 2237764*w - 2 wrt w?
780*w**2 - 12732*w + 10
What is the third derivative of 21116*a**3*y**2 + 404*a**3 - 22*a**2*y + 657833*y**2 wrt a?
126696*y**2 + 2424
Find the second derivative of -i**3*s - 15*i**3 + 54147*i**2 - 4642*i + 118*s - 3 wrt i.
-6*i*s - 90*i + 108294
What is the third derivative of -15921087*r**3 + 89991211*r**2?
-95526522
Find the second derivative of -f**4 - f**3 - 1477124*f**2 + 9056*f + 14314.
-12*f**2 - 6*f - 2954248
What is the third derivative of -16202*g*m**3 + 17*g*m + 199 | {
"pile_set_name": "DM Mathematics"
} |
= 0.
-63, -3, -1/3
Let j = 189 - -4. Find y such that -100*y**2 + 432*y - 404*y**3 - 40*y**5 - 131*y - j*y - 276*y**4 + 40 = 0.
-5, -1, -2/5, 1/2
Let z be 11/(-121)*0 + (-3)/(-12). Let n(g) be the second derivative of 27/2*g**2 + 0 + 3*g**3 + 5*g + z*g**4. Solve n(p) = 0 for p.
-3
Factor -18/5*g + 33/5*g**2 - 3.
3*(g - 1)*(11*g + 5)/5
Determine l, given that -4/3 - 44*l**3 - 524/3*l + 527/3*l**2 = 0.
-1/132, 2
Let n(d) be the second derivative of -3*d**4 - 2*d**3 - 2 - 1/5*d**6 + 0*d**2 + 11*d - 9/14*d**7 + 81/20*d**5. Let n(s) = 0. Calculate s.
-2, -2/9, 0, 1
Suppose -1726 + 921 = 45*w - 895. Suppose 0*f - 3/5*f**4 + 0 + 0*f**3 + 3/5*f**w = 0. What is f?
-1, 0, 1
Let o(a) be the second derivative of 1/11*a**3 + 1/22*a**4 - 63*a + 0*a**2 + 0. Solve o(z) = 0.
-1, 0
Let y(b) be the first derivative of -187 - 28/11*b - 13/11*b**2 + 2/33*b**3. Factor y(k).
2*(k - 14)*(k + 1)/11
Factor 59/2*r + 1/2*r**4 - 27/2*r**2 - 3/2*r**3 - 15.
(r - 6)*(r - 1)**2*(r + 5)/2
Let p(t) be the third derivative of -245*t**2 + 0*t**4 - 1/60*t**6 + 1/168*t**8 - 1/35*t**7 + 0*t**3 + 0 + 1/10*t**5 + 0*t. Factor p(a).
2*a**2*(a - 3)*(a - 1)*(a + 1)
Let m(v) be the first derivative of v**3/18 - 2*v**2 - 26*v/3 + 4632. Factor m(h).
(h - 26)*(h + 2)/6
Let n be ((-159710)/(-55) - 5)/(9/(-6)). Let q = -1928 - n. Determine w so that 2/11*w**4 + 90/11*w**2 - 26/11*w**3 - 500/11 + q*w = 0.
-2, 5
Let l(j) be the first derivative of j**4/18 - 4*j**3 + 260*j**2/3 - 6800*j/9 + 2228. Factor l(g).
2*(g - 34)*(g - 10)**2/9
Let s = 1445 - -303. Suppose -8 = -1752*f + s*f. Factor 3/2*p + 0 + 21/4*p**f.
3*p*(7*p + 2)/4
Let d = -335657 - -335657. Solve -34/7*q**4 + 34/7*q**2 + 8/7*q - 8/7*q**5 + 0 + d*q**3 = 0 for q.
-4, -1, -1/4, 0, 1
Factor -9/4*s + 0 - 1/4*s**4 + 9/4*s**2 + 1/4*s**3.
-s*(s - 3)*(s - 1)*(s + 3)/4
Suppose 0*c + 2*c = -5*y - 256, 4*c = -4*y - 200. Let g = y + 55. Solve s**4 + 12 + 11*s**3 - 12 - 14*s**g = 0.
0, 3
Suppose 13*p - 15 = 8*p. Let -2 + 10 - 4*k**p + 21*k + 16*k**2 - 41*k = 0. Calculate k.
1, 2
Suppose c + 16 = -4*v, -4879*v = -4880*v + 3*c + 48. Solve 0*z - 2/3*z**3 - 4/3*z**2 + v = 0.
-2, 0
Suppose 0 = 16*s + 2*s - 55494. Solve 5*i**5 - 8*i**2 + 7*i**5 + 16*i**4 - s*i**3 + 3063*i**3 = 0 for i.
-2, -1/3, 0, 1
Let p(q) be the second derivative of -q**4/24 - 487*q**3/12 - 363*q**2 + 4303*q. Let p(t) = 0. Calculate t.
-484, -3
What is n in -336235*n**4 + 92*n**2 - 94*n + 36*n**3 - 106*n + 96 + 4*n**5 + 336207*n**4 = 0?
-2, 1, 3, 4
Let z(a) = -a**3 + 10*a**2 - 2*a - 9. Let b be z(2). Let j(t) be the first derivative of -16/9*t**3 - 4/3*t - 10/3*t**2 + b. Determine s, given that j(s) = 0.
-1, -1/4
Let b(t) = -3*t**3 + 32*t**2 - 75*t - 10. Let u be b(7). Determine y so that -4/5*y**2 + 8/5*y**u + 0 - 2/5*y**3 + 0*y + 6/5*y**5 = 0.
-1, 0, 2/3
Suppose -2*y - 3*i + 67 = 16, -3*i - 96 = -5*y. Let u(q) be the second derivative of 1/5*q**3 - 1/30*q**4 + y*q + 0 - 2/5*q**2. Factor u(l).
-2*(l - 2)*(l - 1)/5
Let y = 131647/70 + -5642/3. Let k(t) be the second derivative of 1/30*t**3 + 0 + 0*t**6 + 0*t**2 + 0*t**4 - 1/50*t**5 + y*t**7 + 18*t. Solve k(v) = 0 for v.
-1, 0, 1
Let c be ((-18)/7)/((-2200)/(-35) + -65). Factor 1/5 + 9/5*m**2 - 4/5*m**3 - c*m.
-(m - 1)**2*(4*m - 1)/5
Let 35/3*u - 1/3*u**4 + 4 + 3*u**3 + 11*u**2 = 0. What is u?
-1, 12
Let z be 5/(-6) + (-26631)/54 + -5. Let w = z - -2498/5. What is a in 0*a**4 + 0*a**2 + 0*a + w*a**5 + 0 - 12/5*a**3 = 0?
-2, 0, 2
Let m be 625/3600 - ((-32)/36 - -1). Let o(z) be the first derivative of -m*z**2 + 1/8*z - 1/24*z**3 + 1/32*z**4 + 7. Factor o(n).
(n - 1)**2*(n + 1)/8
Let s(w) be the third derivative of 2*w**7/105 - 3379*w**6/180 + 94865*w**5/18 + 33088*w**4/3 + 8836*w**3 - 235*w**2 - 16. Suppose s(g) = 0. What is g?
-1/2, -1/3, 282
Suppose v - 33 = -3*t, -t - 34 = -4*v + t. Factor v + 9*z + 3/2*z**2.
3*(z + 2)*(z + 4)/2
Let q = -3 + 3. Suppose q = p - 2*p + 2. Factor 5*u**3 + 7*u**3 - 5*u**4 + u**4 - 8*u**p.
-4*u**2*(u - 2)*(u - 1)
Suppose 387 = 15*r + 357. Suppose 156*a + 9*a**r + 332 - 3*a**4 + 72*a**2 + 6*a**3 - 248 = 0. Calculate a.
-2, -1, 7
Let y(l) be the third derivative of -7/15*l**3 + 0 + 2*l**2 - 2/15*l**4 - 1/150*l**5 + 48*l. Factor y(g).
-2*(g + 1)*(g + 7)/5
Let r(c) be the first derivative of -c**3/15 - c**2/2 + 66*c/5 + 1399. Factor r(d).
-(d - 6)*(d + 11)/5
What is p in 160 - 16/3*p - 2/3*p**2 = 0?
-20, 12
Let j(i) = -2*i**3 + 377*i**2 + 188*i + 193. Let t be j(189). Factor -7 + t*m**2 - 5/2*m - 1/2*m**3.
-(m - 7)*(m - 2)*(m + 1)/2
Let c be -1 + (66 - (2 - 0)). Suppose -125*l**3 - 5*l**4 + 10*l**2 + 0*l**4 + c*l**3 + 67*l**3 = 0. What is l?
-1, 0, 2
Let z = -478 - -10886/23. Let m = z + 455/92. Suppose 1/4*y - m*y**4 + 0 - 3/8*y**3 + 3/8*y**2 = 0. Calculate y.
-2, -1/2, 0, 1
Let m(d) be the third derivative of 0*d - 1/8*d**4 - 2 + 1/60*d**5 - 21*d**2 - 3*d**3. Suppose m(v) = 0. What is v?
-3, 6
Let l(s) be the first derivative of 240*s + 27*s**3 + 3/20*s**5 + 98 - 114*s**2 - 51/16*s**4. Let l(p) = 0. What is p?
4, 5
Let t(w) be the first derivative of 0*w - 26/7*w**3 - 3/28*w**4 - 507/14*w**2 + 9. Factor t(m).
-3*m*(m + 13)**2/7
Let f(m) be the third derivative of 0 + 2*m**3 + 1/20*m**5 + m - 1/2*m**4 + 9*m**2. Factor f(c).
3*(c - 2)**2
Let b be ((-13)/(-10))/((-234)/(-30)). Factor -1/2*l + 2/3 - b*l**2.
-(l - 1)*(l + 4)/6
Let p(d) be the third derivative of -d**5/60 - 23*d**4/24 + 13*d**3 - 1695*d**2 + 1. Factor p(b).
-(b - 3)*(b + 26)
Let t(g) be the first derivative of 2*g**3/9 + 40*g**2 + 2400*g + 3857. Suppose t(b) = 0. What is b?
-60
Let y = 85 + 6. Factor -13 + 5 + 2*h**2 - y*h + 91*h.
2*(h - 2)*(h + 2)
Let n = 834 - 828. Let b be ((-3)/5)/(((-621)/n)/23). Determine s so that -2/3*s**2 + 4/15 - b*s - 4/15*s**3 = 0.
-2, -1, 1/2
Let u(f) be the third derivative of -28*f**2 + 1/9*f**3 - 2/315*f**7 + 0 + 1/15*f**5 + 1/360*f**6 + 0*f - 11/72*f**4. Solve u(i) = 0.
-2, 1/4, 1
Let s(z) = -3*z**3 + 8*z**2 - 13*z + 6. Let m = -68 - -35. Let v(o) = -16*o**3 + 41*o**2 - 66*o + 30. Let r(d) = m*s(d) + 6*v(d). Solve r(b) = 0.
1, 2, 3
Let u(r) = r**3 - 242*r**2 - 4. Let h(x) = -8*x**3 + 1936*x**2 + 34. Let j(s) = -6*h(s) - 51*u(s). Let j(t) = 0. Calculate t.
0, 242
Determine t so that 0 + 27*t + 3/4*t**3 + 15*t**2 = 0.
-18, -2, 0
Let k be 1/3*(-198)/(-6). Suppose 14 = -4*y + k*y. Solve -2/23*z + 2/23*z**y - 4/23 = 0 for z.
-1, 2
Let p be (2586/(-15))/((-17)/(-85)). Let j = -4302/5 - p. Factor j*b + 1/5*b**2 + 16/5.
(b + 4)**2/5
Let b(a) = -7*a**2 - 100*a - 750. Let d(q) = -3*q**2 - 56*q - 375. Let x(u) = 2*b(u) - 5*d(u). Let x(o) = 0. Calculate o.
-75, -5
Let h(r) be the second derivative of -r**4/3 + 140*r**3 - 22050*r**2 - r - 1886. Factor h(c).
-4*(c - 105)**2
Suppose -9*y + 6*y - 2*c + 185 = 0, -3*y + 186 = 3*c. Let -3*h**2 + 27*h**2 + h**3 + 100*h + 11 - 5*h**3 + y = 0. Calculate h.
-2, -1, 9
Let a = 772 + -761. Factor -a*u**2 - 10*u**2 + 0*u + 19*u**2 - 10*u + 100.
-2*(u - 5)*(u + 10)
Let b(o) be the first derivative of -o**6/240 - o**5/40 - o**4/32 + o**3/12 + o**2/4 - 64*o - 23. Let g(y) be the first derivative of b(y). Factor g(c).
-(c - 1)*(c + 1)*(c + 2)**2/8
Let p(j) be the second derivative of 2*j - 1/25*j**5 + 4/5*j**3 + 36/5*j**2 + 3 + 1/75*j**6 - 11/30*j**4. Factor p(r).
2*(r - 3)**2*(r + 2)**2/5
Let x(y) be the third derivative of -y**5/210 - 71*y**4/28 - 212*y**3/21 + 3*y**2 - 50*y - 4. Factor x(s).
-2*(s + 1)*(s + 212)/7
Let k(h) = 4*h**2 - 3*h**2 + 1 + 3*h**3 - 2*h**3. Let c(o) = -8*o**3 + 6*o**3 - 6 - 20*o - 18*o**2 + 29*o. Let d(b) = c(b) + 6*k(b). Factor d(l).
l*(2*l - 3)**2
Let -31*a**4 - 553*a + 35*a**4 - 7*a - 588 + 72*a**2 + 48*a**3 = 0. Calculate a.
-7, -1, 3
Let g be -21 + (-494)/(-26) + (-3)/(9/(-8)). Factor -g + 1/6*t**2 - 1/2*t.
(t - 4)*(t + 1)/6
Let v(q) = 6*q**2 - 1066*q - 140. Let f(c) = c**2 - 213*c - 30. Let u(d) = 14*f(d) - 3*v(d). Solve u(w) = 0.
0, 54
Let o = -742226 + 742230. Suppose 2/3*z**5 - 16/3*z**3 + 14/3*z + 0*z**4 + 4*z**2 - o = 0. What is z?
-3, -1, 1, 2
Let m = -2/107 + 328/6099. Let u(j) be the second derivative of 0*j**2 + 18*j + 0 + m*j**3 + 5/114*j**4. Factor u(l).
2*l*(5*l + 2)/19
Suppose 86*f - 208688 = -8566. Suppose 11*b - f = -2283. Factor 8/3*j + 34/3*j**3 + 37/3*j**2 + 3*j**b - 4/3.
(j + 1)**2*(j + 2)*(9*j - 2)/3
Determine h so that -716/7*h**4 - 43 | {
"pile_set_name": "DM Mathematics"
} |
- x**3 - 30 - 4*x**3 + 30 wrt x.
-30*x + 42
Suppose 6*j - 41 = 25. What is the first derivative of -j*w**2 + 8 - 615*w + 615*w wrt w?
-22*w
Let r(n) be the third derivative of -n**7/35 + n**5/3 - 27*n**2. Find the third derivative of r(y) wrt y.
-144*y
Let j(q) = -3*q**2. Let c(s) = 208*s**2 - 214*s. Let b(k) = -c(k) - 4*j(k). Find the second derivative of b(v) wrt v.
-392
Let z(i) be the first derivative of 334*i**6/3 + i**2/2 - 585*i - 287. Find the second derivative of z(b) wrt b.
13360*b**3
Let g(d) = 919*d**4 - 4*d + 809. Let v(n) = 1837*n**4 - 7*n + 1617. Let s(c) = 7*g(c) - 4*v(c). What is the first derivative of s(z) wrt z?
-3660*z**3
Let j(a) be the second derivative of 68*a**7/21 + a**6/30 + 29*a**4/12 + 124*a. What is the third derivative of j(d) wrt d?
8160*d**2 + 24*d
Let z(c) be the third derivative of 33 + 1/24*c**4 - 1/2*c**3 + 0*c - 7/60*c**5 + 2*c**2. Differentiate z(l) with respect to l.
-14*l + 1
Find the first derivative of -3 + 12 - 14 - 7 - 18 - 301*v wrt v.
-301
Let h(p) be the first derivative of 6*p**7/7 - p**4/2 + 74*p**3/3 + 153. Find the third derivative of h(m) wrt m.
720*m**3 - 12
Let w(z) = 46*z**3 - 5*z**2 + 9*z - 72. Let r(d) = -133*d**3 + 13*d**2 - 26*d + 216. Let b(q) = -6*r(q) - 17*w(q). What is the second derivative of b(o) wrt o?
96*o + 14
Let f be (-6)/(15/(-10)*1). What is the second derivative of -6*b**f - 7*b + 3*b**4 - 6*b**4 - 6*b wrt b?
-108*b**2
Find the third derivative of -3*d**3 + 3*d**2 + 27*d**4 + 2*d**3 - 16*d**2 + 4*d**2 + 4 + 136*d**4 wrt d.
3912*d - 6
Let c = -5 + 56. Let q be (-6)/(-2*1*1). Find the second derivative of c*i + 0*i**3 - 53*i - 12*i**5 + 0*i**q wrt i.
-240*i**3
Find the third derivative of 101*d**2 + 9*d**3 + 109030 - 109030 wrt d.
54
Suppose -3*f - f = -44. What is the second derivative of 4*r + 13*r**4 + 11*r**3 - f*r**3 wrt r?
156*r**2
Let y(t) = 41*t**3 - 3*t**2 - 3*t + 28. Let s(n) = -40*n**3 + 2*n**2 + 2*n - 27. Let b(i) = 3*s(i) + 2*y(i). Differentiate b(v) with respect to v.
-114*v**2
Suppose s = -0*o + 3*o + 16, o + 3 = 0. Let y = s + -5. Find the third derivative of -7*n**4 + 12*n**4 - 5*n**y + 3*n**2 wrt n.
120*n
Let h(g) be the first derivative of 112*g**3/3 - g**2/2 - 45*g - 107. What is the second derivative of h(r) wrt r?
224
Let z be 675/(-30)*((-2)/10 + -1). Differentiate 31*l**3 - 27*l**3 + 19 + z*l**3 + 7 with respect to l.
93*l**2
Suppose 0 = 4*l - 5*d + 6, l + 6*d - 5 = 4*d. Let i be (-3 - -9) + 0 + -2. Find the first derivative of -1 - 6 - 8*y**2 + l - i*y**2 wrt y.
-24*y
Let j be (-3)/(66/(-7)) + 174/957. Let v(z) be the second derivative of 0 + 7*z + 0*z**4 + j*z**2 + 0*z**3 + 1/2*z**5. Find the first derivative of v(f) wrt f.
30*f**2
What is the second derivative of 274*w**3 - 31*w**4 + 0*w - 274*w**3 - 2 - 6*w wrt w?
-372*w**2
Let q be (6/2)/((-9)/(-12)). Find the first derivative of -q + 13*f - 14*f - 5 wrt f.
-1
Let g(y) be the second derivative of 79*y**5/20 - 89*y**2/2 - 41*y - 2. Differentiate g(h) wrt h.
237*h**2
Let z be ((-2)/(-4))/((-3)/(-24)). Let p(f) = f + 10. Let c be p(-5). Find the third derivative of -o**2 + o**4 + 2*o**2 + 2*o**4 - c*o**z wrt o.
-48*o
Let k(y) = y**3 + 5*y**2 - 3*y + 7. Let n be k(-5). What is the derivative of -344 + 8*p**4 + n*p**4 + 337 wrt p?
120*p**3
Let f(c) be the second derivative of -59*c**4/4 + 17*c**3/2 + 2*c**2 + c + 42. Find the second derivative of f(r) wrt r.
-354
Suppose 2*l + 8 = -0*l - 4*w, -2*w = -4*l + 14. Differentiate -4*r - 5 + l - 3 wrt r.
-4
Let r be (-2)/4*-8 + (2 - 4). What is the second derivative of 2*v**r + 2 - 3*v**2 + 14*v + v**2 + 48*v**3 wrt v?
288*v
Let q(o) be the third derivative of 11*o**8/112 - o**7/105 + 8*o**4/3 + 155*o**2. Find the second derivative of q(m) wrt m.
660*m**3 - 24*m**2
Let z = -10 - -12. Differentiate -29 + 4*g**2 - 14*g**z - 37*g + 37*g wrt g.
-20*g
Suppose -7*c + 5*c + 9 = y, -5*y = 5*c - 35. Suppose 0 = -y*q - u + 104, -2*u = -10 + 2. What is the derivative of -p**2 + 0*p**2 - 19 + q wrt p?
-2*p
Let z(v) be the third derivative of -v**7/210 + 49*v**6/60 - 43*v**3/2 + 382*v**2. What is the first derivative of z(a) wrt a?
-4*a**3 + 294*a**2
Let v(o) = 71*o**3 - 6*o**2 + 6*o + 17. Let g(n) = 142*n**3 - 13*n**2 + 13*n + 32. Let k(a) = -6*g(a) + 13*v(a). Find the first derivative of k(d) wrt d.
213*d**2
Let a be (-90)/18*68/(-10). Find the third derivative of -12*t**2 + 39*t**5 + t**2 - a*t**5 wrt t.
300*t**2
Let h(o) be the second derivative of o**4/6 + 3*o**3/2 + 171*o**2 + 215*o + 1. What is the derivative of h(v) wrt v?
4*v + 9
Let s(t) = -t - 6. Let x be s(-9). Let b(i) be the second derivative of 0 + 2/3*i**x - 3*i - i**2. Find the first derivative of b(p) wrt p.
4
Suppose 2*m - 20 = -4*v, 4*m - m = 4*v. What is the third derivative of -v*s**2 + 3*s**2 - 7*s**2 + 7*s**4 - 4*s**2 wrt s?
168*s
What is the first derivative of -94*d**4 - 18 + 7 - 28 wrt d?
-376*d**3
Suppose 118 - 2218 = -7*a. What is the third derivative of -300 - 13*s**5 + a + s**2 wrt s?
-780*s**2
Let b(g) = -2*g - 14. Let s be b(-8). Let n(f) be the first derivative of -7*f + 2*f**5 + 2 - f**5 - 2*f**2 + s*f**2. Differentiate n(c) wrt c.
20*c**3
Let i(s) be the second derivative of -s**6/3 - 2*s**5/5 + s**4/6 - 119*s**2/2 - 116*s. What is the third derivative of i(n) wrt n?
-240*n - 48
Let h = 39 - 37. What is the second derivative of 3*t + 3*t - h*t**4 + 10*t**4 + 0*t wrt t?
96*t**2
Let x(u) = -u**3 + 9*u**2 + 2*u - 15. Let m be x(9). Find the second derivative of -49*s - m + 30*s**3 + 52*s - 3*s**2 + 3*s**2 wrt s.
180*s
Let i be 10/1*12*2/20. Find the first derivative of 3 + 17 - 2 + i*h**3 wrt h.
36*h**2
Let o be (-3)/(6/(-4)) - -12. What is the first derivative of 11*d**2 - 17 + o*d**2 - 7*d**2 wrt d?
36*d
Let f be (-10)/(-5) + -2 + -1. Let i(m) = -m - 1. Let b(v) = 5*v**2 - 17*v - 4. Let t(a) = f*b(a) + 4*i(a). Find the second derivative of t(o) wrt o.
-10
Let j(v) be the first derivative of v**5/5 - 4*v**3/3 - 12*v + 4. Let n(f) be the first derivative of j(f). Find the second derivative of n(a) wrt a.
24*a
Find the second derivative of 3*o**5 + 12*o**2 + 3*o**2 - 160 - o + 9*o**2 - 3*o**2 wrt o.
60*o**3 + 42
Let g(v) = 12*v**3 - 3*v**2 - 2*v + 10. Let y(n) = 34*n**3 - 8*n**2 - 5*n + 29. Let t(o) = 8*g(o) - 3*y(o). Find the second derivative of t(m) wrt m.
-36*m
Let k(f) be the second derivative of 23*f**7/21 - 7*f**4/12 - 2*f - 96. What is the third derivative of k(b) wrt b?
2760*b**2
Let v(o) be the third derivative of 17*o**5/6 + 5*o**4/8 - 3*o**2 + 6*o. What is the second derivative of v(b) wrt b?
340
Let w(x) be the third derivative of -419*x**5/60 - 31*x**4/24 + x**3 - 4*x**2 - 33*x. Find the second derivative of w(h) wrt h.
-838
Suppose -6*m + 17 = -19. What is the third derivative of 5*y**m - 87*y**4 + 87*y**4 + 10*y**2 wrt y?
600*y**3
Find the third derivative of 2000*g**2 - 2032*g**2 + 148*g**3 - 54*g**3 wrt g.
564
Suppose 3*p = 9, 2 = -4*t - p - 3. Let i be 1 + (t - -2 - -2). Differentiate 0 - i - 3*z + 5*z with respect to z.
2
Let v(z) be the first derivative of -508*z**5/5 - 601*z**2/2 + 601. Find the second derivative of v(m) wrt m.
-6096*m**2
What is the third derivative of 3*u**6 + 66*u**3 - 30*u**3 + 10*u**6 - 38*u**3 + 99*u**2 wrt u?
1560*u**3 - 12
Let r(b) be the first derivative of -565*b**4/4 - 205*b**3 - 265. Find the third derivative of r(u) wrt u.
-3390
Let d(m) be the third derivative of 64*m**7/105 - 25*m**3/6 - 2*m**2 + 9. Find the first derivative of d(p) wrt p.
512*p**3
Let y(a) = a**3 - 5*a**2 + 10*a - 4. Let i be y(4). What is the second derivative of 19*w - 22 - i*w**5 + 9 + 13 wrt w?
-400*w**3
Suppose 2 = 2*b - 4*b. Let d be (b - 1)/(6/(-15)). What is the second derivative of -5*x + d*x**2 - 2*x**2 + 5*x + x wrt x?
6
Let l(p) be the third derivative of -41*p**4/24 + 7*p**3/2 - 22*p**2. Let w(q) = 20*q - 11. Let d(f) = 2*l(f) + 5*w(f). Find the first derivative of d(t) wrt t.
18
Suppose v - 2*v + 4*y = -25, -15 = 3*y. Find the first derivative of -v - 6 - 2 - 5 + 22*z**4 wrt z.
88*z**3
Let l(a) be the second derivative of 107*a**5/10 - 25*a**3/2 + a**2 + 104*a + 1. Find the second derivative of l(b) wrt b.
1284*b
Let w(m) be the first derivative of -m**8/280 + m**6/40 + 7*m**3/3 + 2. Let q(s) be the third derivative of w(s). Find the third derivat | {
"pile_set_name": "DM Mathematics"
} |
7?
1079026
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14436565
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56006
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5859398
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-38230
What comes next: 12890, 24667, 36444, 48221?
59998
What is next in 27946963, 27946976, 27946999, 27947038, 27947099, 27947188, 27947311, 27947474?
27947683
What is next in 498154, 498169, 498184, 498199?
498214
What is the next term in 81965, 162982, 243999, 325016, 406033?
487050
What is the next term in -13485, 27078, 94673, 189294, 310935?
459590
What is the next term in 1438181, 1438181, 1438193, 1438229, 1438301, 1438421, 1438601?
1438853
What comes next: -1631, -3314, -6119, -10046, -15095, -21266, -28559?
-36974
What is next in 298332065, 298332064, 298332063, 298332062, 298332061?
298332060
What is next in 1606989, 3213888, 4820775, 6427644, 8034489, 9641304, 11248083?
12854820
What comes next: 1067, 2038, 3009?
3980
What comes next: 1133, 5637, 15181, 31439, 56085, 90793?
137237
What is the next term in 23421, 46867, 70309, 93747, 117181, 140611, 164037?
187459
What is the next term in 4618, 4499, 4070, 3175, 1658, -637, -3866?
-8185
What comes next: -74959, -149956, -224995, -300076, -375199, -450364, -525571?
-600820
What comes next: -15737, -62953, -141641, -251801?
-393433
What comes next: -12775, -13734, -16329, -21376, -29691, -42090, -59389?
-82404
What comes next: 1296, 5116, 11508, 20490, 32080, 46296, 63156?
82678
What is the next term in 178993, 178791, 178477, 178057, 177537, 176923, 176221?
175437
What is next in -2805, -10719, -23889, -42303, -65949, -94815?
-128889
What is the next term in -143257, -286185, -429113, -572041, -714969, -857897?
-1000825
What comes next: 22623, 90426, 203411, 361578, 564927, 813458, 1107171?
1446066
What is the next term in -672622, -672617, -672612?
-672607
What is next in -272104, -544478, -817150, -1090114, -1363364, -1636894, -1910698?
-2184770
What is the next term in -6117, -26159, -62599, -117921, -194609, -295147, -422019, -577709?
-764701
What is next in -1844, -4384, -8630, -14594, -22288, -31724, -42914, -55870?
-70604
What is the next term in 5791051, 5791043, 5791035, 5791027, 5791019, 5791011?
5791003
What is next in 29692, 62469, 95246, 128023, 160800, 193577?
226354
What comes next: 70873, 70872, 70863, 70840, 70797, 70728, 70627?
70488
What is the next term in 53605076, 107210152, 160815228, 214420304?
268025380
What comes next: 50610, 101167, 151632, 201963, 252118?
302055
What is the next term in 4718859, 9437721, 14156581, 18875439, 23594295?
28313149
What is next in 419, 476, 47, -868?
-2269
What comes next: 82810, 82575, 82340, 82105?
81870
What is the next term in -1822082, -7288325, -16398726, -29153285?
-45552002
What comes next: 31403763, 62807527, 94211291, 125615055, 157018819?
188422583
What is the next term in -200645, -206944, -213241, -219536, -225829?
-232120
What is the next term in 17023788, 17023756, 17023702, 17023626, 17023528?
17023408
What is the next term in 5983246, 11966497, 17949748, 23932999, 29916250, 35899501?
41882752
What comes next: -3825609, -7651216, -11476823?
-15302430
What is next in -2337482, -2337489, -2337496, -2337503?
-2337510
What comes next: -18549, -47953, -77357, -106761, -136165?
-165569
What is next in 1449, 2901, 4369, 5859, 7377, 8929, 10521, 12159?
13849
What is next in -18011, -72084, -162205, -288374, -450591?
-648856
What is the next term in 2225, 8951, 20181, 35915, 56153?
80895
What is the next term in -307, -822, -1633, -2824, -4479, -6682?
-9517
What is the next term in -10373, -83939, -283755, -672947, -1314641, -2271963, -3608039, -5385995?
-7668957
What comes next: 25232623, 25232631, 25232653, 25232695, 25232763, 25232863, 25233001?
25233183
What comes next: -272638445, -272638442, -272638439, -272638436?
-272638433
What comes next: 9069, 7458, 5847, 4236, 2625, 1014?
-597
What is next in -3686305, -3686325, -3686359, -3686407, -3686469, -3686545, -3686635?
-3686739
What is next in 21965392, 21965378, 21965356, 21965326, 21965288, 21965242, 21965188?
21965126
What is next in -95121, -95173, -95265, -95403, -95593?
-95841
What comes next: -45906, -183740, -413452, -735036, -1148486, -1653796, -2250960, -2939972?
-3720826
What comes next: 51377, 103962, 156547, 209132?
261717
What comes next: 190711, 381275, 571553, 761401, 950675, 1139231?
1326925
What is the next term in 5715, 11406, 17073, 22716?
28335
What is the next term in 784, -6, -1390, -3422, -6156, -9646, -13946, -19110?
-25192
What is the next term in -69295729, -69295725, -69295721, -69295717, -69295713?
-69295709
What comes next: 771926, 771927, 771902, 771839, 771726?
771551
What comes next: 3685, 4202, 5585, 8266, 12677, 19250, 28417, 40610?
56261
What comes next: 3512, 14032, 31558, 56090, 87628, 126172?
171722
What is the next term in 46561, 46618, 46713, 46846?
47017
What is next in 22621, 93040, 210391, 374662, 585841, 843916, 1148875, 1500706?
1899397
What comes next: 61, 159, 277, 397, 501, 571, 589?
537
What is next in -12872878, -51491500, -115855868, -205965982?
-321821842
What is the next term in 14906, 14905, 14894, 14879, 14866?
14861
What is the next term in 11711, 9846, 7981, 6116, 4251?
2386
What is next in 310587, 310619, 310651?
310683
What is next in 29541, 29505, 29469, 29433?
29397
What is the next term in 417725, 417716, 417707?
417698
What is the next term in 9560677, 9560680, 9560683, 9560686, 9560689?
9560692
What is next in -5735340, -11470652, -17205964, -22941276?
-28676588
What is the next term in -594, -4197, -13648, -31761, -61350, -105229, -166212, -247113?
-350746
What is the next term in 194224864, 388449726, 582674588, 776899450?
971124312
What is the next term in -246809831, -246809825, -246809817, -246809807, -246809795?
-246809781
What is the next term in -36880, -42661, -48456, -54271, -60112?
-65985
What is next in -3541, -4411, -5281?
-6151
What comes next: 1039, 2095, 3113, 4093, 5035?
5939
What comes next: 39708, 158639, 356788, 634155, 990740?
1426543
What is next in 57048, 226602, 509192, 904818, 1413480, 2035178?
2769912
What is the next term in 555419, 1110842, 1666265?
2221688
What comes next: 4818, 9678, 14556, 19452, 24366?
29298
What is the next term in 2494, 1941, 1026, -245, -1866, -3831, -6134, -8769?
-11730
What is the next term in 125598, 251199, 376798, 502395, 627990, 753583?
879174
What is next in -4173, -8957, -14361, -20385?
-27029
What is next in 20903, 21148, 21401, 21668, 21955, 22268, 22613?
22996
What is the next term in -34810, -46409, -58008, -69607, -81206, -92805?
-104404
What is the next term in -398, -826, -1300, -1850, -2506?
-3298
What is next in -2540, -3746, -4900, -6002, -7052?
-8050
What is the next term in 4552, 18126, 40800, 72616, 113616, 163842, 223336?
292140
What comes next: 1021, 1146, 1347, 1624?
| {
"pile_set_name": "DM Mathematics"
} |
smallest value? (a) -2 (b) 98/2409 (c) 0 (d) -2/5 (e) -4 (f) 2 (g) -21
f
What is the second smallest value in 942/83, 5, 11/1619?
5
What is the biggest value in -0.2, 4.6, -1, 1/32, -3, -0.67?
4.6
Which is the second biggest value? (a) -3 (b) -2056.6 (c) 0.053
a
What is the biggest value in 883, 3/4, -5/4, 2.323?
883
What is the third smallest value in -14, 0, 225365?
225365
Which is the fifth smallest value? (a) -2/15 (b) 3/5 (c) 0.06 (d) 0.5 (e) -551 (f) 4 (g) -4
d
What is the second biggest value in -5, 59, 699173?
59
What is the second smallest value in -5, -1/4, -3/5, 2, -110.2, -0.9?
-5
What is the third smallest value in 3/4, -769, 4.1, -5/9?
3/4
Which is the second biggest value? (a) -20 (b) -272195 (c) 18
a
Which is the second biggest value? (a) 2/7 (b) 0.4 (c) -17 (d) 4 (e) -3 (f) 1/41
b
Which is the fourth smallest value? (a) -0.2 (b) -6 (c) -13330 (d) 0.4 (e) -40
a
Which is the third biggest value? (a) 4816 (b) -0.3 (c) -0.0392
b
What is the third biggest value in -0.067, -120, 2, -291/8?
-291/8
Which is the third smallest value? (a) -2 (b) 1 (c) -0.1 (d) 2 (e) -6/7 (f) 334
c
What is the sixth smallest value in -28, 4/7, -4, -183/7, -0.1, 28/3, 5?
5
What is the third biggest value in 5, -0.5, -4/11, 2/17, 0.3, 922?
0.3
Which is the third biggest value? (a) -0.5 (b) 0.174 (c) 4 (d) -7.282 (e) -1/3
e
Which is the fourth smallest value? (a) -15/4 (b) -7524.4 (c) 2/3 (d) 2 (e) 3/5
c
Which is the second smallest value? (a) -25 (b) 2 (c) 7 (d) -13797
a
What is the fifth smallest value in 3018, -0.0842, 4, -2/7, -1/8?
3018
Which is the third smallest value? (a) 0 (b) 0.4 (c) -2/57 (d) -15 (e) 34/7 (f) -0.3 (g) 2
c
What is the second smallest value in 5/3, 308528, -2?
5/3
What is the third biggest value in 37, -2, 4550.01?
-2
What is the fourth biggest value in 40296.07, 4, 3/4, 3?
3/4
Which is the fourth smallest value? (a) 986 (b) -6/37 (c) -4 (d) 4 (e) -0.2 (f) -4/15
b
Which is the second biggest value? (a) -1 (b) -0.4 (c) 13 (d) -92705 (e) 0.1
e
What is the third smallest value in 4/7, -3, 3/7, 7/1438, 2, 0?
7/1438
What is the second biggest value in 0.51, -6/13, 5, -0.5, 0.3, 1/8?
0.51
Which is the fifth biggest value? (a) 2/5 (b) -5 (c) 2254832 (d) -1 (e) 5 (f) 2
d
What is the second smallest value in -6.8, 88, -7, -6/25, -2, -0.1?
-6.8
Which is the third biggest value? (a) 2/25 (b) -17 (c) -1/11 (d) -2/21 (e) 33/4 (f) -2
c
Which is the seventh biggest value? (a) 1/71 (b) -5 (c) -2/13 (d) 1 (e) -0.5 (f) -4 (g) 0.09
b
What is the smallest value in 337, -3/358, -16, 0.2?
-16
Which is the second biggest value? (a) 0.1 (b) 11.33 (c) 29 (d) -0.65
b
What is the third smallest value in -3/34, 102, 5272?
5272
What is the fifth smallest value in 1/5, 7762, -1, 13, -0.5, -2, 0.3?
0.3
Which is the fifth smallest value? (a) -3/5 (b) -26 (c) 77 (d) 0.1 (e) 0.2 (f) -2/87
e
Which is the smallest value? (a) -81/5 (b) -4663 (c) 1/4 (d) 1 (e) -3 (f) -0.3
b
Which is the fifth biggest value? (a) 1/2 (b) 56.7 (c) 3 (d) -5 (e) -0.0154
d
Which is the second smallest value? (a) -0.1 (b) 4/75 (c) 34643
b
Which is the fifth biggest value? (a) 2/341 (b) -1/8 (c) 67/2 (d) 1/7 (e) -4 (f) -2
f
Which is the fourth smallest value? (a) -1/5 (b) 0.3 (c) 11 (d) -2.433
c
Which is the fourth biggest value? (a) 0.6 (b) 220 (c) -0.66 (d) -1.02 (e) 4
c
Which is the smallest value? (a) 21 (b) 6/31 (c) 1.1688
b
What is the biggest value in 3/1816, 1/6, 4, 0, -5, 50?
50
Which is the second smallest value? (a) 651293 (b) 13 (c) -2
b
What is the second smallest value in -2/7, 4.7, 5, 1241?
4.7
Which is the second smallest value? (a) 580 (b) -24 (c) -1 (d) 7
c
Which is the second biggest value? (a) -4 (b) 0.1 (c) -204 (d) -442/179
d
What is the seventh biggest value in -2/5, 0.07, 2, 2226, 0, -0.2, 4/7?
-2/5
What is the fourth biggest value in -78/5, 4/5, -1.499, 1/6?
-78/5
Which is the second smallest value? (a) -8/5 (b) -6192 (c) 2
a
Which is the biggest value? (a) -4/5 (b) -0.5 (c) -5/2 (d) 1 (e) 0.5 (f) -56 (g) 6
g
Which is the third smallest value? (a) -1 (b) 610 (c) 1/1264
b
Which is the second biggest value? (a) 0.3 (b) 74 (c) 9383/4
b
What is the sixth smallest value in -5, 5/6, -0.5, -2/5, 0.22, -0.03913?
5/6
Which is the third smallest value? (a) 1 (b) 171 (c) 8 (d) 0.4 (e) -1 (f) 0.2
d
Which is the biggest value? (a) -4 (b) -0.5 (c) 0.3 (d) 609 (e) -2/3421
d
What is the third smallest value in -3/851, -0.5, -1.23, 2/7?
-3/851
Which is the third biggest value? (a) -4 (b) -2/3 (c) 0.073 (d) -0.62301
b
What is the third smallest value in 234/19, -2/173, -1/6?
234/19
What is the fifth biggest value in -1/3, 7, -3/5, 123.2, -0.2, -2, -2/9?
-1/3
Which is the smallest value? (a) 30.01 (b) 2/3 (c) -99 (d) 2/13 (e) 0.4 (f) 0.5
c
Which is the smallest value? (a) -331325 (b) 3/2 (c) -2/11 (d) 63
a
What is the third biggest value in -61, 4/53, 222/43?
-61
Which is the sixth smallest value? (a) 1 (b) 0.5 (c) -0.8 (d) -2204 (e) -4 (f) -1/37
a
What is the fourth smallest value in 1/6, 90/20531, -5, -2?
1/6
Which is the third biggest value? (a) -28 (b) -7272 (c) -33 (d) 13
c
Which is the third biggest value? (a) 2 (b) 0 (c) -1/7 (d) 6/151 (e) 75 (f) -15
d
Which is the smallest value? (a) 1/4 (b) -1.561135 (c) -28
c
What is the fifth smallest value in -0.1, 0.1, 3, -3, -1/7162, -25?
0.1
Which is the fourth smallest value? (a) -0.1 (b) 0.4 (c) 1/2 (d) -0.111 (e) 0 (f) -0.458 (g) -3
a
Which is the smallest value? (a) -2 (b) -2235 (c) -218
b
What is the fourth smallest value in -42, -2, 4, 0.3, -4460?
0.3
Which is the second biggest value? (a) 678692 (b) 0.1 (c) 1/19
b
What is the third biggest value in -9, -1/2, 623059.5?
-9
What is the third smallest value in 3.5, 0.2, -5, 635?
3.5
Which is the third biggest value? (a) -3 (b) 5 (c) -1/3 (d) 1/2 (e) -2 (f) 1076/13 (g) -3/7
d
What is the smallest value in -0.1, 20, -7/2, -14/13, 1/3, -1/2?
-7/2
What is the fifth smallest value in -0.035, 4, 1, -1/3937, -2?
4
Which is the fourth biggest value? (a) 1/6 (b) -15 (c) 2928 (d) -0.3 (e) 3
d
Which is the second smallest value? (a) 0.1 (b) 176/115 (c) -4 (d) -16
c
Which is the third smallest value? (a) -33785 (b) -1 (c) -0.05 (d) 5 (e) 113
c
What is the fifth biggest value in -2/17, -4, 1/548, -3, 30?
-4
What is the second biggest value in 2/63, -2994/433, -2/7?
-2/7
What is the second smallest value in -0.7, -10, 0.1, -6/13, 5, -2/143?
-0.7
What is the fifth biggest value in -2/9, 14.1, 0, 0.286, 0.19?
-2/9
What is the second biggest value in -42, -67160, -2/7?
-42
What is the third biggest value in -74.1, 2, -0.06, -3/143?
-0.06
What is the fourth biggest value in 0.2, -12, 1/1225, -14?
-14
What is the sixth smallest value in 0.5, -1.65, 2237, 2, 4/3, -2?
2237
Which is the smallest value? (a) -0.3 (b) 5 (c) 6/235 (d) -3 (e) -0.798
d
Which is the second smallest value? (a) 8670 (b) -3.8 (c) -2/3 (d) 0.05 (e) 0
c
Which is the second smallest value? (a) -96/10967 (b) -1340 (c) -1
c
What is the second biggest value in 2, -11, 23184/11, -0.06?
2
Which is the third biggest value? (a) -0.472 (b) -212 (c) -92 (d) -1/4
c
What is the fourth biggest value in 5, 101.3, -626, -0.3, 0?
-0.3
Which is the fifth biggest value? (a) -39 (b) -19 (c) 4/17 (d) -1/52 (e) 1/7
a
What is the sixth biggest value in 4, 1233.3, 0.1, 5.7, 0.5, -3?
-3
What is the fourth biggest value in 1/14, -3/4, -10859.9, -0.4?
-10859.9
Which is the third smallest value? (a) 2 (b) 6900 (c) 17 (d) 1
c
What is the second smallest value in 9, 1, -4/15, 5/6, 44, 0?
0
What is the second biggest value in 40, -276, 3, -2/9, -0.496?
3
What is the second smallest value in -0.1, -29/3, 0.0001544?
-0.1
What is the second smallest value in 15027, -4, -3, -5, -0.13?
-4
Which is the smallest value? (a) -0.01 (b) 25 (c) 12 (d) 3 (e) 0.5 (f) 5/86
a
What is the third smallest value in 0.58, 1/4, 64/5, -5?
0.58
Which is the smallest value? (a) 9.2249 (b) 5/3 (c) -6
c
What is the second biggest value in -0.056, -6, 4/9, -83/26, -1/5?
-0.056
Which is the biggest value? (a) -2.5 (b) | {
"pile_set_name": "DM Mathematics"
} |
= 1146 - 1146.1. Let v = 4.5 - 4. What is the nearest to m in 3, -0.4, v?
-0.4
Let v = 10294.14 + -10192. Let i = -54.9 + -47.1. Let u = v + i. Which is the nearest to -0.1? (a) u (b) -2/19 (c) -1
b
Let k be (3/6)/(1/2). Let l = -219 + 221. Suppose -v - 13 = l*r - 6*r, -5*r - v = -5. What is the closest to k in -0.12, 1/4, r?
1/4
Let r = 5/621 + 409/621. Let h = 0 - 5. Which is the nearest to r? (a) h (b) -4 (c) -0.05
c
Let x = -31 - -82. Let f = x - 51. Let u = -5 + f. Which is the nearest to 0? (a) 0.3 (b) u (c) -0.4
a
Let b = 32.4 - 22.4. What is the nearest to b in 1.5, 0, -2?
1.5
Let j = -4 + 4. Let f = 96.02 - 95.92. Suppose 3*i = -i + 20. What is the closest to j in f, i, 0.2?
f
Suppose -3*s - 2 = -5*s. Let f = 53 + -53.1. Let y = 2 - 5. Which is the nearest to 0.1? (a) y (b) f (c) s
b
Suppose 4*j - 354*c - 26 = -356*c, -5*c + 35 = 0. Let n = 8 + -12. What is the nearest to n in j, 1/2, -0.2?
-0.2
Let h be ((-162)/243)/(2/9). Let z = -165.7 + 173. Let n = z - 7. What is the closest to n in 0.3, h, 3?
0.3
Let n = 1108.1 - 1181.1. Which is the nearest to n? (a) -2/5 (b) 6 (c) 0.2 (d) -3
d
Let v = 2.2 - 2.5. Let r = 92 + -79.1. Let t = 13 - r. Which is the closest to t? (a) 2/7 (b) v (c) -11
a
Suppose -3*i = -2*j + 14, -8 = -2*j - i + 14. Which is the nearest to j? (a) -2 (b) 0.6 (c) 0.2
b
Let g = -6 + 5. Let y = -25102 + 25102. Which is the nearest to 2? (a) y (b) g (c) -3 (d) 0.1
d
Let a = 241.8 - 243.8. What is the nearest to a in -1/6, -321, -1/3?
-1/3
Let g = 0.06406 - 0.56406. What is the closest to 0.1 in -1/5, -4, g, 9?
-1/5
Suppose 817 = 4*s + 4*r - 827, s = 3*r + 395. Let l = s + -2846/7. Which is the closest to -2? (a) 11 (b) 0 (c) l
b
Let b = 3.66 - 3.86. Let i = -17638/9 - -1960. What is the nearest to -1 in i, b, 3, -2/9?
-2/9
Let m = -0.4 - -0.5. Let c = -317 + 139.3. Let i = c - -178. What is the closest to m in -1/3, -1, i?
i
Let j = -0.21 + -7.79. Let v = -45.2 - -45.5. Which is the closest to j? (a) -0.5 (b) -5 (c) v
b
Let w = 2/61 + -65/122. Let t = 3.09009 - 2.09009. Which is the nearest to t? (a) -12 (b) -2/11 (c) w
b
Let u = 16.6 - 17. Let q = 361 + -257. Let x = q + -103. What is the nearest to x in u, 1, -2/7?
1
Let t = 0.0633 - -0.0367. Suppose 7*y - 24 = y. Let g be (y - (-30)/(-9))/6. Which is the nearest to t? (a) g (b) 4/9 (c) -2/9
a
Let l = -3081 - -3082. What is the nearest to l in 1, 1/11, 1/15?
1
Let p be 95/(-570) - (-5)/420*2. Which is the closest to 2/5? (a) -4 (b) -3 (c) p (d) -349
c
Let d be (-7)/12*(160/28 - 6). Let w be (-588)/(-105) - (-24)/(-15). Which is the nearest to -4? (a) -3 (b) d (c) w
a
Let k = -0.08 + -0.07. Let m = k + -0.35. Let f be 2/(-8) + (-49)/28. What is the closest to -1/4 in m, 0.1, f?
m
Let m = 29 - 32. Let b = 5.45 - 0.45. Let y = -9 + b. What is the nearest to 0 in m, -12, y?
m
Let v(r) = -2*r + 3. Let n be v(-1). Let u be n/25 + (-28)/(-10). Let w be (((-10)/(-3))/(-10))/((-2)/u). What is the nearest to 2/3 in -5, -3/8, w?
w
Let g = 17/7 + -95/42. Let i = -477.76 - -475.76. Which is the nearest to 2/7? (a) -5 (b) i (c) -3/8 (d) g
d
Suppose 2*q + 2 = q, 0 = -2*n - 5*q - 8. Let b = n - 4/3. Let z = -244.2 - -244. What is the nearest to b in z, -4, 3?
z
Suppose 13*f = 7 + 6. Let p = 49.09 - 49. Which is the nearest to f? (a) 3 (b) 1/4 (c) p
b
Let y(h) = 9*h + 143. Let g be y(-16). Let f be (9/4)/(-1) + (-12)/16. Which is the closest to -2/21? (a) f (b) 0.2 (c) g
b
Let m be (-1620)/(-243)*(-1)/(-8). Let r be ((-15)/55)/((-3)/4). Let s = r - 30/143. Which is the closest to 0? (a) -8 (b) m (c) s
c
Let j = -6995 + 7021. Suppose -2*r = -2*x + 2, 3*r = x - 4 + 9. Which is the nearest to 0? (a) j (b) -3 (c) x
b
Let x = -1636 + 96522/59. Which is the closest to 0? (a) x (b) 0.1 (c) 23
a
Let s = -6279 - -6278. What is the nearest to -2 in 3/2, 14, -2/13, s?
s
Let i = -0.3 - 0. Let r = 13876 + -13880. Which is the nearest to r? (a) 1/30 (b) 0 (c) i
c
Let d = -20439 - -20369. What is the closest to 0.04 in -1, 2, -2, d?
-1
Let t = -2008 + 1349. Let x = t - -659.04. Let z(i) = -i**3 + 7*i**2 - 7*i + 7. Let m be z(6). Which is the nearest to m? (a) x (b) 2/5 (c) 3
b
Let g = 76.47 - 74.67. Which is the closest to -1/4? (a) 35 (b) g (c) -2
c
Let w = 22795.7 - 22796. Which is the nearest to -1.3? (a) -3 (b) w (c) 0.2 (d) -4
b
Let h = 2128 + -4257/2. Which is the nearest to -11? (a) h (b) 1/4 (c) -1.9 (d) -4/9
c
Let r be (-544)/(-112) - 3/(-21). Suppose 0 = 2*z - 0*w + 2*w - 10, 0 = -z + r*w - 13. What is the nearest to 1 in 4/29, -4, z?
4/29
Suppose -3*d + 3*f = 12, -32*d + 33*d + f + 2 = 0. Which is the nearest to -1/4? (a) 3 (b) d (c) 18
b
Let f be 3 - (1 - (0 + 1298/26)). Let i = 52 - f. Let m = 10.1 - 10. What is the nearest to 0 in i, m, 0.5?
i
Let o = 338 - 338.5. Which is the closest to 1? (a) 12 (b) o (c) 4 (d) -1/3
d
Let o = -551 - -555. Let w be (-56)/171 - 4/(-18). Which is the closest to w? (a) -5 (b) o (c) 1
c
Let w(r) = 19*r - 1461. Let t be w(77). Which is the nearest to t? (a) -0.5 (b) -5 (c) -1/9 (d) 5
c
Let g = -0.1 - 0.1. Let k be (-3)/20*(-18 + (-308)/(-14)). What is the nearest to g in -4, k, -2/9?
-2/9
Let v = 82.01 - 0.01. Let q = 4436 - 4514. Let g = v + q. Which is the closest to -1/2? (a) 1 (b) -1/8 (c) g
b
Let l be 2 - (-8)/(-3) - 416/(-12). Let s = -30 + l. Let y be 3 + 364/(-176) + s/(-22). What is the nearest to -1/5 in -2/7, y, 0?
-2/7
Let v be ((-3)/(-15)*-3)/1. Let f = 117 + -168. Let r = 55 + f. What is the closest to -0.1 in r, v, -1?
v
Let n = 2.6 + -2.5. Let u = -0.761 + 0.261. What is the closest to n in 0.5, u, -0.4?
0.5
Let r = -5085/31 + 40649/248. Suppose -2*g + 2 = w + w, 0 = -4*g - 16. Which is the closest to 1? (a) r (b) -5 (c) -2/27 (d) w
c
Let p = -16.18 - -15.38. Which is the nearest to -1? (a) p (b) -0.2 (c) 4 (d) 45
a
Let m = 30/203 + 4/29. Let y = 4.268 - 0.268. What is the closest to m in -8, y, 1, -1/11?
-1/11
Let f(d) = -11828*d + 153736. Let x be f(13). Let g be 4 + 0/(-2 - -1). Let o be (g/110)/((-1)/5). Which is the closest to -1? (a) x (b) 0.3 (c) o
c
Let b = -14252/23 + 620. Let n = b - -53/46. What is the nearest to -0.1 in n, 2/7, -5/2, -3?
2/7
Let y = -30 - -14. Let f be (-12)/y + 9/(-12) + 0. What is the nearest to f in -0.2, -5, 14/5?
-0.2
Let m(n) = 36*n + 223. Let t be m(-6). Let d = -21 - -20.7. What is the closest to -2 in t, d, 1?
d
Let f be 0 - (-1 - 7/(-9)). Let z be ((-110)/165)/((-4)/6). Let q = 1.07 + -0.87. Which is the closest to z? (a) f (b) q (c) -0.3
a
Let y = 12056 + -12055. What is the closest to 0 in -1/10, y, 0.2, -219?
-1/10
Let r = 718 + -717.8. Let l = -137 - -136. Let q = 3 + -2. Which is the nearest to q? (a) r (b) 2/17 (c) l
a
Let q = 32.6 + -31.6. Let b = -1/80 - 63/80. What is the nearest to q in -0.4, b, 0.3?
0.3
Suppose 5*s - s + 5*l = 3, s = -l + 1. Let y = 3487/17 - 205. What is the closest to s in y, 6, 0.4?
0.4
Let o = 0.7 + -3.7. Let r = 0.12989 + -0.72989. Which is the nearest to 1? (a) -2/7 (b) o (c) 3/7 (d) r
c
Let q(o) = -37*o - 1591. Let g be q(-43). Which is the closest to -1? (a) 2/5 (b) g (c) -1/4 (d) 1.8
c
Let f = 0.039 - -34.961. Let j = -35.4 + f. Let l = -48.1 - -47.9. Which is the nearest to -3? (a) l (b) j (c) 0.3
b
Let s = -42 - -41.9. Let r = -11446/3365 + 1/673. Let i = -19/5 - r. Which is the closest to 2? (a) s (b) i (c) 2
c
Let t = -2499 + 2498.6. Which is the closest to 1/6? (a) 2/13 (b) t (c) -2/3
a
Let c = -836 - -837.1. What is the nearest to -0.1 in -0.4, -5, 9/5, c?
-0.4
Let d = 0.1 - 0.3. Let x = -13/3620 + -6941/83260. What is the closest to -1/2 in 0.3, d, x?
d
Let a = 1163 - 1067.9. Let f = -95 + a. What is the nearest to 0.1 in -1/6, 0.04, f?
f
Suppose -4*r = r - 25. Let x be (r/10)/(-2*(14 - 0)). Let a = -1/8 + x. What is the closest to 1/2 in 2, 5, a?
a
Suppose 0 = 68*q - 386 + 114. Which is the nearest to 0.1? (a) -5/3 (b) q (c) -4
a
Let l(z) = -2*z**3 - 5*z**2 + 56*z - 11. Let u be l(4). Which is the nearest to 3? (a) 17 (b) -2 (c) u
c
Let d = -6.9 + 7.1. What is the nearest to 2/13 in d, -2, -3/7, 3?
d
Let k = 300 - 3902/13. Let b be (-23)/5 + 4/(-10). Let q = 7 + b. What is the nearest to 4 in k, q, 1/4?
q
Suppose -15 = | {
"pile_set_name": "DM Mathematics"
} |
4, -2/17, 0, 2, 4
Put -4, -14076, 3, -5 in decreasing order.
3, -4, -5, -14076
Sort 0, -92, -2, 2 in decreasing order.
2, 0, -2, -92
Sort 5, -75, -703, -5 in ascending order.
-703, -75, -5, 5
Put 1/4, -5, 0.1, -3/2, 3, 4/9 in decreasing order.
3, 4/9, 1/4, 0.1, -3/2, -5
Put 207, 91, -3, 0.01 in decreasing order.
207, 91, 0.01, -3
Sort 0, 2, -361605 in increasing order.
-361605, 0, 2
Sort 5, 3.364, -2/7 in increasing order.
-2/7, 3.364, 5
Put -1/25, -0.4, -13, -1.6 in increasing order.
-13, -1.6, -0.4, -1/25
Sort 0.5, -2, 158, 3, 0.2 in ascending order.
-2, 0.2, 0.5, 3, 158
Put 24.01, 235, 2/13 in increasing order.
2/13, 24.01, 235
Put -5, 0, 5, -2549, 4 in descending order.
5, 4, 0, -5, -2549
Sort -5, -2, -18, 4.
-18, -5, -2, 4
Sort -86, -3, 2140, 2 in descending order.
2140, 2, -3, -86
Sort 3, -127, 2, -4, -9 in decreasing order.
3, 2, -4, -9, -127
Put 3/5, -16, -124/9 in descending order.
3/5, -124/9, -16
Put 3, -3, -29, 1 in ascending order.
-29, -3, 1, 3
Put 2, -1274, 6 in descending order.
6, 2, -1274
Put 2, 5, 13, 16 in decreasing order.
16, 13, 5, 2
Sort 1, 1044, 0, -11 in decreasing order.
1044, 1, 0, -11
Sort -27, -236, 5, 3, 4 in increasing order.
-236, -27, 3, 4, 5
Put -4, -759, 0, -5, 1 in decreasing order.
1, 0, -4, -5, -759
Sort 2, -0.037, 178, 1/8, -3 in descending order.
178, 2, 1/8, -0.037, -3
Sort -2, 3, 2, 1, -1 in increasing order.
-2, -1, 1, 2, 3
Put 2, 880, -5, -4 in descending order.
880, 2, -4, -5
Put -148, 4, 0, 43, -3 in decreasing order.
43, 4, 0, -3, -148
Sort -5, -6, -96 in increasing order.
-96, -6, -5
Sort -9388, -5, 2, 0, -4 in increasing order.
-9388, -5, -4, 0, 2
Sort -23977, -3, 4, 13 in increasing order.
-23977, -3, 4, 13
Sort 3, 5, -6343, -4 in descending order.
5, 3, -4, -6343
Sort -0.09, 0.1, 0.04, 9 in ascending order.
-0.09, 0.04, 0.1, 9
Put -3, 3, 166, 28, 1, 2 in ascending order.
-3, 1, 2, 3, 28, 166
Sort 25, -16422, 0 in increasing order.
-16422, 0, 25
Put -4, -328, -24 in descending order.
-4, -24, -328
Sort -5, -4, -1, 7096, 31, 2.
-5, -4, -1, 2, 31, 7096
Sort -4, 23, -8/7, -5, -14/9 in descending order.
23, -8/7, -14/9, -4, -5
Sort 6, 2, 942, -29 in increasing order.
-29, 2, 6, 942
Sort -6, 9, -778, -2.
-778, -6, -2, 9
Sort 2, 2648, 27 in descending order.
2648, 27, 2
Sort 62, 1, -111 in decreasing order.
62, 1, -111
Sort 83, -5, -164, 4.
-164, -5, 4, 83
Sort 3492, 3, 2, 8, 0 in decreasing order.
3492, 8, 3, 2, 0
Sort 21, -2, 2, 4, 13.
-2, 2, 4, 13, 21
Sort -244, -3, -12/7, -5.
-244, -5, -3, -12/7
Sort -30, -1, 0, -25, 1, 2 in descending order.
2, 1, 0, -1, -25, -30
Sort -872, 64, -6, 0 in ascending order.
-872, -6, 0, 64
Put 1/24, 1/7, 156 in descending order.
156, 1/7, 1/24
Put -1/3, -19.5, 0.5, -3/2 in ascending order.
-19.5, -3/2, -1/3, 0.5
Put 7880, 74, 3, -5 in ascending order.
-5, 3, 74, 7880
Sort 0, -0.0013, -1 in ascending order.
-1, -0.0013, 0
Sort 0, -26724, -1 in increasing order.
-26724, -1, 0
Sort 40205, -2, 3, 12 in decreasing order.
40205, 12, 3, -2
Put -122, -0.3, 117/5 in increasing order.
-122, -0.3, 117/5
Sort 139, 2, 10, -1, 3 in decreasing order.
139, 10, 3, 2, -1
Sort 4, -5, 67, 0.01 in decreasing order.
67, 4, 0.01, -5
Put 0, 646, -8 in decreasing order.
646, 0, -8
Put 1, -13557, -3 in descending order.
1, -3, -13557
Sort -2/9, -0.2, -4, 0, -0.062.
-4, -2/9, -0.2, -0.062, 0
Sort 16, -4061, -1, -10.
-4061, -10, -1, 16
Sort -3, 937, -2, 1, -1, 4.
-3, -2, -1, 1, 4, 937
Sort 0.02, 20, -0.07581, 4.
-0.07581, 0.02, 4, 20
Put -2/9, -184, 2054 in increasing order.
-184, -2/9, 2054
Sort -133/5, -1, 1, -4, -2/5, 0.3 in decreasing order.
1, 0.3, -2/5, -1, -4, -133/5
Sort 7, 4, 1, 3, -1.
-1, 1, 3, 4, 7
Sort 13, 0, -2, 6, 4, -30.
-30, -2, 0, 4, 6, 13
Sort -3, 0.205, 12/13, 5 in decreasing order.
5, 12/13, 0.205, -3
Sort -20, -2, -596 in ascending order.
-596, -20, -2
Sort 0.1, -2464, 0, -2 in increasing order.
-2464, -2, 0, 0.1
Sort -20, -5, -2, -1, 1 in descending order.
1, -1, -2, -5, -20
Put 0.1, -2, -0.4, -356, 4/7 in decreasing order.
4/7, 0.1, -0.4, -2, -356
Sort 27, -19643, 0.4 in decreasing order.
27, 0.4, -19643
Sort -3, 156, -43 in increasing order.
-43, -3, 156
Put -0.3, -0.274, -19 in decreasing order.
-0.274, -0.3, -19
Put -0.1, -431, 8, 1/3, -1/7 in descending order.
8, 1/3, -0.1, -1/7, -431
Sort 16, -4, 15, 2, -5, -28 in descending order.
16, 15, 2, -4, -5, -28
Sort -1, -5, 29, -41 in descending order.
29, -1, -5, -41
Sort 37, -1/4, -50/121 in decreasing order.
37, -1/4, -50/121
Put -1/4, -15, 1/6, 1, 0.1, 2 in decreasing order.
2, 1, 1/6, 0.1, -1/4, -15
Put -1, -30, 4390 in increasing order.
-30, -1, 4390
Put -28, 2, -8, 1, -3 in descending order.
2, 1, -3, -8, -28
Put 0.4, -1, -31, 18, 5.2 in ascending order.
-31, -1, 0.4, 5.2, 18
Sort 1, -2, -1/4, -51, 11/6 in descending order.
11/6, 1, -1/4, -2, -51
Put -1/8, -1484, -13, 0.3 in decreasing order.
0.3, -1/8, -13, -1484
Put 3, 4, -3, 5, 8, 0 in descending order.
8, 5, 4, 3, 0, -3
Sort 879, 324, -3 in descending order.
879, 324, -3
Sort -1/2, 0.2, 2/41, -2/3 in decreasing order.
0.2, 2/41, -1/2, -2/3
Put 77, 1.29, -0.4, 2/15 in descending order.
77, 1.29, 2/15, -0.4
Sort -9, 2, 4, 0, -34.
-34, -9, 0, 2, 4
Sort -3, -0.13108, 3/4 in decreasing order.
3/4, -0.13108, -3
Sort 251, -205, -1 in increasing order.
-205, -1, 251
Sort -2, 3, 11, 4, -4, 13 in decreasing order.
13, 11, 4, 3, -2, -4
Sort 0.2, 2/11, -1.33, 4, -2, 3.
-2, -1.33, 2/11, 0.2, 3, 4
Sort 9, 1, -5, 435.
-5, 1, 9, 435
Sort -2/11, 5, 28, -1 in decreasing order.
28, 5, -2/11, -1
Sort -1, -1/3, 8, -0.1, 5/6, 4854 in increasing order.
-1, -1/3, -0.1, 5/6, 8, 4854
Put -4, 2, -0.06234 in descending order.
2, -0.06234, -4
Sort 1, 29, -16 in descending order.
29, 1, -16
Sort 3, -1.9994, -0.2 in descending order.
3, -0.2, -1.9994
Put 20, 0.04, -1/7, -0.16, 2/9, -1 in ascending order.
-1, -0.16, -1/7, 0.04, 2/9, 20
Sort -1/7, -0.73, -27, -6 in decreasing order.
-1/7, -0.73, -6, -27
Sort 2/9, 2, -5, -0.051, 4, 1 in decreasing order.
4, 2, 1, 2/9, -0.051, -5
Sort -2, -3, 3, -1, 1, -5126 in increasing order.
-5126, -3, -2, -1, 1, 3
Sort -5, -43, 22, 11 in decreasing order.
22, 11, -5, -43
Sort -21, 1, -4, 11557 in descending order.
11557, 1, -4, -21
Sort 0.2, -52, 93 in descending order.
93, 0.2, -52
Sort 23, 8, 1, -90, -4, 3 in decreasing order.
23, 8, 3, 1, -4, -90
Sort -4175/4, 2, -3, -1 in decreasing order.
2, -1, -3, -4175/4
Sort 1, 3919, 13, -1.
-1, 1, 13, 3919
Sort 1.7, 0.001, -0.08 in descending order.
1.7, 0.001, -0.08
Sort 7, 4/9, 1/9, 1, 10.9.
1/9, 4/9, 1, 7, 10.9
Sort -0.1558, 0, 4, 3 in ascending order.
-0.1558, 0, 3, 4
Sort -33, 9, 57, 1 in ascending order.
-33, 1, 9, 57
Put 0, -1.64, -0.8, 2/7 in increasing order.
-1.64, -0.8, 0, 2/7
Sort 5, -1/8, -2/3, -4, -5, 6/11 in decreasing order.
5, 6/11, -1/8, -2/3, -4, -5
Put 440, 4/7, 8 in ascending order.
4/7, 8, 440
Put 5/21, -9/2, 0.12, 3 in descending order.
3, 5/21, 0.12, -9/2
Sort 23, 1/10, 2, 14 in increasing order.
1/10, 2, 14, 23
Put -2, 465, 4, 12, -4, 1 in descending order.
465, 12, 4, 1, -2, -4
Put -4, -13156, 1 in ascending order.
-13156, -4, 1
Put 5, 6, -15866, 1 in descending order.
6, 5, 1, -15866
Put 2, -5, 659, -11 in decreasing order.
659, 2, -5, -11
Put -5, -3, 7, 3, 56 in descending order.
56, 7, 3, -3, -5
Sort 5, -5005, -4 in decreasing order.
5, -4, -5005
Put 1, -1168, 2, -2, -4 in descending order.
2, 1, -2, -4, -1168
Sort -407, -14/9, -0.1 in increasing order.
-407, -14/9, -0.1
Put -5, -3, 3, -290 in increasing order.
-290, -5, -3, 3
Sort -4, -1/9, 0.4, -12, -0.4, 2/51.
-12, -4, -0.4, -1/9, 2/51, 0.4
Sort 5, 44, -4, 4, 9, 1 in descending order.
44, 9, 5, 4, 1, -4
Sort 2, -0.5, -4.1715 in descending order.
2, -0.5, -4.1715
Sort -5, -1, 4, 104, 36 in ascending order.
-5, -1, 4, 36, 104
Put 2, -3, -61, 60, 3, 0 in ascending order.
-61, -3, 0, 2, 3, 60
Sort -1046/3, -4, 1 in ascending order.
-1046/3, -4, 1
Put -5, 6, 0.1, 38, 1/5 in increasing order.
-5, 0.1, 1/5, 6, 38
Sort 140174, -1/6, -0.2.
-0.2, -1/6, 140174
Put 4, -1, 0.1, 0.04268 in decreasing order.
4, 0.1, 0.04268, -1
Sort 40, 0, 25, -4, -1 in increasing order.
-4, -1, 0, 25, 40
Sort -340, -33, 0, -1 in increasing order.
-340, -33, -1, 0
Put 5, 3/7, 1, 6818, -0.5, 0.3 in decreasing order.
6818, 5, 1, 3/7, 0.3, -0.5
Put -198/7, 0.2, | {
"pile_set_name": "DM Mathematics"
} |
t derivative of j**2/2 + 3*j - 157. Suppose 5*m + 24 = 3*u, -1 = 2*m + 5. Let x(o) = -o - 4. Calculate u*x(k) + 4*d(k).
k
Let a be (2 - 2 - 18/6) + 16. Suppose a*f - 30 = -173. Let l(h) = 21*h**3 - 11*h. Let q(x) = 11*x**3 - 6*x. What is f*q(n) + 6*l(n)?
5*n**3
Let c(n) = 11*n**2 - 194*n - 2. Let m(w) = -28*w**2 + 484*w + 6. Calculate -18*c(q) - 7*m(q).
-2*q**2 + 104*q - 6
Let q(c) = 4*c**2 + 3*c - 13. Let u(z) = 245*z. Let i(m) = -72*m. Let p(f) = -17*i(f) - 5*u(f). What is -3*p(a) - q(a)?
-4*a**2 + 13
Let i be (-2)/((-4)/94) - 2. Let a = -45 + i. Let r(q) = -3 + a + 4*q - 4 + 11. Let o(h) = 5*h + 5. Determine -5*o(f) + 6*r(f).
-f - 1
Let t = -7 + 16. Let a be 40/(-48) - (-2838)/36. Let x(d) = -142*d + a*d + 62*d. Let s(o) = 3*o. What is t*x(b) + 4*s(b)?
-6*b
Suppose -4*r = -33 - 23. Suppose o - r = -20. Let d(x) = -13 + 6 - 7*x + 7. Let c(k) = -13*k. Calculate o*c(z) + 11*d(z).
z
Suppose z = -5*s + 218, 12*z = 2*s + 16*z - 80. Let u(g) = -2*g + 46. Let b(v) = 2. Calculate s*b(o) - 2*u(o).
4*o - 4
Suppose w = 5*i + 15 + 2, -19 = -3*w - i. Let j(s) = -17*s**3 - 7*s**2 - 7*s - 9. Let o(k) = -8*k**3 - 4*k**2 - 4*k - 5. Calculate w*o(z) - 4*j(z).
12*z**3 + 1
Let i(p) = -2*p - 22. Let x(a) = 1779*a + 26092. What is -3558*i(q) - 3*x(q)?
1779*q
Let n(z) = -4917*z**3 - 21*z**2 + 7*z - 7. Let j(r) = -3278*r**3 - 15*r**2 + 5*r - 5. What is -7*j(b) + 5*n(b)?
-1639*b**3
Let z(s) = -4. Let g(t) = t - 44. Suppose -3*c + 41 = 2*y, 4*y - c + 3*c = 78. Let u = 52 - y. Let j be (u/(-11))/((-6)/8). Determine j*g(x) - 44*z(x).
4*x
Let y(d) = -2*d**2 + 10*d + 3. Let k(j) = 35*j**2 + 30*j + 6. Let a(i) = -13*i**2 - 3*i. Let t(f) = 3*a(f) + k(f). Let p = -44 + 31. Calculate p*y(s) + 6*t(s).
2*s**2 - 4*s - 3
Let k(h) = 28*h**2 - 6*h + 150. Let o(s) = -11*s**2 + 3*s - 76. Give 3*k(f) + 7*o(f).
7*f**2 + 3*f - 82
Let v(k) = k**2 + k - 14. Let c(p) = 3281*p**3 - 772*p**2 - 772*p + 10808. Determine c(w) + 772*v(w).
3281*w**3
Let k(d) = -512*d**2 - 4*d + 2. Let y(c) = 501*c**2 + 5*c - 2. Calculate 5*k(p) + 4*y(p).
-556*p**2 + 2
Let j(f) = 12*f - 6. Let o be (36/16)/((-3)/(-8)). Let r(t) = -9 + 1 - 4 + 1 + 10. What is o*r(z) - j(z)?
-12*z
Let o(x) = 94*x + 11. Let h(y) = 88*y + 11. Calculate 4*h(i) - 3*o(i).
70*i + 11
Suppose n - 13 = -4*s + 2*n, 2*s = 3*n + 19. Let t(x) = -x - 6*x - 4*x - x**s - x**2. Let y(k) = -k**2 - 4*k. Calculate 4*t(w) - 11*y(w).
3*w**2
Let t(s) = -12*s**3 + 16*s**2 - 3*s - 3. Let k(d) = 12*d**3 - 20*d**2 + 3*d + 6. Give 4*k(v) + 5*t(v).
-12*v**3 - 3*v + 9
Let x(b) = 4*b**2 + 6 + 6*b + 3 - 3 - 4. Let w(q) = -3*q**2 - 5*q - 1. Let p(g) = g**3 - 22*g**2 - g + 19. Let i be p(22). Calculate i*w(o) - 2*x(o).
o**2 + 3*o - 1
Let u(n) = -2*n**2 + n - 1. Let r(o) = -15*o**2 + 2*o + 77. What is r(h) - 7*u(h)?
-h**2 - 5*h + 84
Let z(j) = -87*j**3 - 6*j**2 - 1. Let k(y) = 58*y**3 + 4*y**2 + 1. Let f(n) = 187*n + 6926. Let b be f(-37). Give b*k(r) + 5*z(r).
-29*r**3 - 2*r**2 + 2
Let c(n) = -48*n + 147*n - 94*n. Let s(p) = -9*p - 1. What is -11*c(o) - 6*s(o)?
-o + 6
Let s(c) = -28*c + 403. Let f(k) = -76*k + 1008. Give -5*f(r) + 12*s(r).
44*r - 204
Let s(j) = j**2 + 2*j + 3. Let q(n) = -2*n**2 + 17*n - 12. Calculate q(h) + s(h).
-h**2 + 19*h - 9
Let j(z) = -35*z + 4. Let v(d) = 33*d - 6. Let a(w) = 65*w - 13. Let t(l) = 3*a(l) - 7*v(l). Determine 3*j(g) - 4*t(g).
39*g
Let u(f) = -8*f**2 + 8*f + 45. Let m(i) = -i - 11. Calculate 4*m(o) + u(o).
-8*o**2 + 4*o + 1
Let a(i) = -2*i**2 - 2*i - 2. Let k(x) = -x + 179*x**2 - 93*x**2 - 85*x**2. Determine -a(y) - 4*k(y).
-2*y**2 + 6*y + 2
Let o(n) = 2*n + 1515. Let z(p) = -p + 2. Calculate -o(k) + z(k).
-3*k - 1513
Let d(s) be the first derivative of -31*s**3/3 + 4*s + 3777. Let q(g) = -495*g**2 + 63. Calculate -63*d(a) + 4*q(a).
-27*a**2
Let b(k) be the second derivative of k**5/20 + k**3/3 + 3779*k + 4. Let o be ((-84)/4)/((-3)/2). Let r(u) = -u. Determine o*r(h) + 6*b(h).
6*h**3 - 2*h
Let c(g) = -70*g. Let q(x) be the third derivative of 7*x**4/24 - 980*x**2. What is -2*c(l) - 21*q(l)?
-7*l
Let g(k) = 10*k - 3. Let h(u) = 30*u - 11. Determine 14*g(z) - 4*h(z).
20*z + 2
Let p(o) = -o**2 - o - 1. Let b = 21068 - 42131/2. Let g(r) be the second derivative of 0 + 7/6*r**3 + 26*r + b*r**2 + 1/2*r**4. Determine -g(c) - 5*p(c).
-c**2 - 2*c
Suppose -2*s = 4*d - 12, -31*s + 24 = -d - 36*s. Let i(m) = -15*m**3 + 4*m**2 + 4*m. Let p(l) = 4*l**3 - l**2 - l. Determine d*i(k) + 22*p(k).
-2*k**3 + 2*k**2 + 2*k
Let d(t) = t**2 + t + 1. Let z(r) = 5*r**2 + 4*r + 4. Let b = 14 + -2. Suppose 189 = -5*w + 5*g + 609, -5 = -5*g. Let o = 82 - w. Calculate b*d(j) + o*z(j).
-3*j**2
Let o(d) = -2*d**3 + d**2 + 3*d. Let q(k) = -15*k**3 - 38*k**2 + 12*k - 2. Determine 5*o(g) - q(g).
5*g**3 + 43*g**2 + 3*g + 2
Let x(m) = 13132*m. Let a(d) = 4379*d. What is -14*a(u) + 5*x(u)?
4354*u
Let h(a) be the first derivative of -4*a**2 - 4*a + 1056. Let g(z) = -9*z - 3. Give 4*g(x) - 3*h(x).
-12*x
Let t(n) = n + 4. Let p(d) = -21*d - 42. What is p(l) + 2*t(l)?
-19*l - 34
Let m(u) = -18*u - 35. Let f(s) = 5*s + 10. Let a(v) = -21*f(v) - 6*m(v). Let c(t) be the second derivative of t**3/6 - 27*t. Calculate -3*a(p) + 8*c(p).
-p
Let b(r) = 71*r**3 - 5*r**2 - 5*r. Let y(x) = 1064*x**3 - 76*x**2 - 76*x. Let o = -8559 + 8564. What is o*y(l) - 76*b(l)?
-76*l**3
Let s = -917 + 915. Let t(l) = 6*l - 3. Let c(a) = -23*a + 13. Determine s*c(d) - 9*t(d).
-8*d + 1
Let i(j) = -3*j + 2. Let o be (4 - 5)/(-8 + 12)*-8. Let m(a) = -a + 1. Let h(v) = v - 1. Let w = 8 - 5. Let y(f) = o*m(f) + w*h(f). Determine -3*i(g) - 8*y(g).
g + 2
Suppose -170*s + 178*s - 24 = 0. Let a(z) = 2*z**3 + 8 - 8*z - 54*z**2 - 2*z**3 + 48*z**2 - 7*z**s. Let w(m) = m**3 + m**2 + m - 1. Give -a(b) - 6*w(b).
b**3 + 2*b - 2
Let v(p) = -p**2 + 3*p - 3. Let m(z) = -8*z - 10*z - 17*z - 35 - 17*z + 50*z + 37. Let y(g) = -g**2 + 6*g + 3. Let q be y(6). What is q*m(d) + 2*v(d)?
-2*d**2
Let d(f) = 54*f - 19032. Let u(i) = -19*i + 6344. What is -6*d(l) - 17*u(l)?
-l + 6344
Suppose -1307*n - 1272*n = -2542*n - 185. Let o(q) = -3*q**2 - 5*q - 7. Let p(b) = -1 + 0*b - 2 - 2*b - 2*b**2. What is n*p(x) - 2*o(x)?
-4*x**2 - 1
Let p(j) = -5*j**2 + 533*j - 67. Let t(q) = -3*q**2 + 356*q - 42. What is -5*p(u) + 8*t(u)?
u**2 + 183*u - 1
Let l be -2*((-178)/4 + 2) + 3. Let q = -90 + l. Let g(v) = v**3 - 4*v - 2. Let t(h) = 2*h**3 - 5*h - 3. Calculate q*t(s) + 3*g(s).
-s**3 - 2*s
Let s(b) = -9*b**2 - 3*b + 4. Let t(u) be the first derivative of -3*u**3 - 2*u**2 + 5*u + 960. Give -4*s(l) + 3*t(l).
9*l**2 - 1
Let m(t) be the first derivative of -89*t**4/4 - 5*t**3/3 - 5*t**2/2 - 5*t + 4027. Let s(g) = 3337*g**3 + 188*g**2 + 188*g + 188. Give -188*m(o) - 5*s(o).
47*o**3
Let z(w) = -4*w**3 - 2*w**2 + 1628*w. Let p(r) = 17*r**3 + 9*r**2 - 6511*r. Calculate 2*p(l) + 9*z(l).
-2*l**3 + 1630*l
Let r(l) be the second derivative of 17*l**5/20 + l**4/6 + l**2 + 161*l - 3. Let n(s) = 17*s**3 + 3*s**2 + 3. Determine -2*n(d) + 3*r(d).
17*d**3
Let s(p) = 5*p**2 - 3*p + 93. Let a(d) = -15*d**2 + 8*d - 269. Let v(h) = 3*a(h) + 8*s(h). Let f(n) = -n**2 - 16. What is -9*f(c) + 2*v(c)?
-c**2 + 18
Let j(u) = 2*u**2 + u - 2. Suppose -w = -4*n - 11, 4*w + 0*n - 63 = -3*n. Suppose -w*p = -2*p - 65. Let i(o) = 2*o**2 + o - 3. Determine p*i(l) - 6*j(l).
-2*l**2 - l - 3
Let p(j) be the first derivative of -3/2*j**2 + 2*j**3 - 3*j - 35. Let r(l) = -4*l**2 + 2*l + 2. Determine -5*p(d) - 8*r(d).
2*d**2 - d - 1
Suppose 2*o - 8 = -2*c, 0 = 2*c - 239*o + 238*o + 7. Let z(j) = 3*j**2 - 2*j - 3. Let f(y) = y**2 + y + 1. Calculate c*f(n) - z(n).
-4*n**2 + n + 2
Let f(s) = 61*s - 19*s - 4 + 17 - 45*s. Let p(n) = 16*n - 66. Calculate -11*f(r) - 2*p(r).
r - 11
Let m(h) = -h**3 - 6*h**2 + 10. Suppose 103*o = -39*o + 36*o + 1802. Let f(q) = -3*q**3 - 17*q**2 + 29. Calculate o*m(l) - 6*f(l).
l**3 - 4
Let a(y) = -2*y**3 - 2*y**2 + y + 1. Let q(l) = 82*l**3 + 3*l**2 - 7*l - 2. Calculate 2*a(c) + q(c).
78*c**3 - c**2 - 5*c
Let k(y) = -4*y**2 + 2*y. Let g(f) = f**2 - 34*f + 2*f**2 + f**2 + 31*f. Calculate 4*g(j) + 6*k(j).
-8*j**2
Let c(u) = -u**2 + 1. Let m(q) = -2*q**3 + 18*q**2 - 34*q - 13. Let d be m(6). Let b(x) = -27*x**2 + 4. Calculate d*b(j) + 4*c(j).
23*j**2
Let s(r) = 5*r**2 + 5*r - 8. Let d be -3*(-2)/(-24) + -13 + (-1540)/(-80). Let w(a) = -5*a**2 - 6*a + 9 | {
"pile_set_name": "DM Mathematics"
} |
-34
Is 5 less than or equal to 592/169?
False
Is -39/76 less than -2?
False
Is -144 less than or equal to -142?
True
Is -1 greater than 32140?
False
Which is smaller: -108 or -653/6?
-653/6
Is -1/23 less than -1?
False
Is 11/9 > -1?
True
Is 288 at most as big as -0.054?
False
Which is bigger: 617/5 or -0.1?
617/5
Is 246 less than or equal to 246?
True
Do 43 and -14 have the same value?
False
Is 469 smaller than 469?
False
Is 103 greater than 103?
False
Is -1/10 less than 475?
True
Which is smaller: 1/15426 or -1?
-1
Which is bigger: 255/8 or 0.2?
255/8
Is -1/786 <= 0?
True
Which is smaller: 3759/4 or 940?
3759/4
Is 108 less than 109?
True
Which is smaller: 1 or 41/150?
41/150
Which is bigger: 300/13 or 22?
300/13
Which is greater: 0.1 or 69.03?
69.03
Is -206 bigger than -271?
True
Which is bigger: 50/9 or 52?
52
Which is smaller: -54/371 or 0?
-54/371
Which is smaller: 23.029 or -1/4?
-1/4
Is 0.064 at most as big as 4?
True
Do -2271 and -2273 have the same value?
False
Which is smaller: 9 or -653?
-653
Which is greater: -1464 or -1466?
-1464
Is -2/9311 > -1?
True
Are 577 and 7494/13 unequal?
True
Is -4 at most as big as -25/7?
True
Are 169 and 169 nonequal?
False
Is 3 smaller than -6/13?
False
Which is bigger: 108 or 81?
108
Which is smaller: 7/1122 or -1?
-1
Does -5 = 50?
False
Which is bigger: -1 or -20/787?
-20/787
Which is greater: 43 or 47?
47
Which is smaller: -208 or -209?
-209
Is 40/63 at most as big as 0?
False
Is 121 at most 2814/23?
True
Which is greater: -2/5 or -10701?
-2/5
Which is smaller: 1347 or 1349?
1347
Which is smaller: -160 or -156?
-160
Which is smaller: 2/35803 or 0?
0
Which is greater: 138 or 135?
138
Which is smaller: -17 or -5?
-17
Which is bigger: -5 or -73/14?
-5
Is -9/52 at most as big as 1?
True
Which is greater: 2 or 242/145?
2
Which is bigger: -820 or -6/19?
-6/19
Are -80 and -71 nonequal?
True
Is 0 < -15226?
False
Which is smaller: -26/21 or -2?
-2
Is 2874 at most 2875?
True
Which is greater: 4 or 298/25?
298/25
Is 0 >= 50/1091?
False
Which is smaller: 0 or 4/477?
0
Which is smaller: 2 or 597/14?
2
Is -1/559 at least -1?
True
Which is bigger: -3/3686 or 0?
0
Is 1 at most 2/49?
False
Do 635 and 635 have the same value?
True
Which is bigger: -70 or -5.4?
-5.4
Is 3852 less than or equal to 34678/9?
True
Is -20240 <= -20239?
True
Is 3/193 bigger than 1?
False
Is 41209 >= 41210?
False
Is 1 smaller than -2/155?
False
Is -23/6 less than -3?
True
Which is smaller: 484 or 417?
417
Which is bigger: -123/40 or -3?
-3
Which is smaller: 452 or 453?
452
Is 1 greater than 2/21879?
True
Which is smaller: -1/159 or 0?
-1/159
Which is greater: -2/279 or 0.05?
0.05
Is -16/1137 at least 0?
False
Which is greater: -130/71 or -3?
-130/71
Is -2842 at least as big as -2843?
True
Which is smaller: -0.1 or -1/1061?
-0.1
Is 73 at most as big as 74?
True
Is -1/219 smaller than 0?
True
Which is greater: 2.6 or -5?
2.6
Is -0.5 bigger than -1/196?
False
Which is smaller: -407/28 or -3/4?
-407/28
Does -31 = -91/3?
False
Is -50 < -0.35?
True
Which is bigger: 7461 or 2?
7461
Which is smaller: -0.1 or 74/13?
-0.1
Is 0.1 greater than 0.63?
False
Which is bigger: -2/15 or 41?
41
Is 37 > 41?
False
Which is smaller: 1 or 1/17?
1/17
Which is smaller: -3340 or 0.05?
-3340
Which is smaller: -7764 or -7765?
-7765
Is 0 at least -21/41?
True
Do -131 and -135 have the same value?
False
Is -10 <= -11?
False
Is 13/112 bigger than -1?
True
Which is greater: -216/5 or -44?
-216/5
Which is bigger: -1 or 104?
104
Which is greater: 764/13 or 60?
60
Are 1/258 and -1 non-equal?
True
Are -18/19 and -23 equal?
False
Are -3/4352 and -1 unequal?
True
Are 1 and 81/764 equal?
False
Is 7/2797 at least as big as -1?
True
Is 2 != 0?
True
Is -3/2 greater than or equal to -58/17?
True
Is 35779 smaller than 35779?
False
Is 22813 >= 22813?
True
Which is smaller: 31/7 or 4?
4
Which is bigger: -63 or -65?
-63
Is -43 less than 17/6?
True
Which is smaller: 1/7 or -1?
-1
Is 25/639 at most -1?
False
Are 53 and -29 non-equal?
True
Is -5/6 < 336?
True
Is 25 > 185/7?
False
Which is smaller: 0 or 2/303?
0
Is 2716 less than or equal to 2717?
True
Which is smaller: -7/46 or -17?
-17
Is 51 <= 50?
False
Is -4379 > -4378?
False
Are 21 and 18 non-equal?
True
Are 1 and 18/2317 unequal?
True
Do 7310 and 7308 have different values?
True
Is 6 at least 0.018?
True
Do -127 and -0.3 have the same value?
False
Which is smaller: 4738 or 4734?
4734
Is 12 bigger than 168/13?
False
Do 65 and -136/3 have different values?
True
Do 2 and 61/10 have the same value?
False
Which is smaller: -2/9 or -40?
-40
Is -14 less than or equal to -314/21?
False
Is 0 at least 3/188?
False
Do 0 and -0.363 have the same value?
False
Which is greater: 779 or 778?
779
Which is bigger: 173/77 or -1?
173/77
Which is greater: 1 or -4/61?
1
Does 1640 = 1640?
True
Is -11695 not equal to -11697?
True
Is -567 > -566?
False
Which is smaller: -2 or -2396?
-2396
Which is smaller: -46 or -45?
-46
Is -2513 less than or equal to 0?
True
Is 12 at most -7?
False
Is -14 greater than 1?
False
Which is bigger: -132 or -137?
-132
Which is smaller: 0.3 or 0.261?
0.261
Is 3.1 at most 8?
True
Which is smaller: -94 or -81?
-94
Are 1245 and 1248 unequal?
True
Which is bigger: -5/3 or -4?
-5/3
Which is smaller: -498 or -502?
-502
Is 70 smaller than 78?
True
Which is smaller: 0 or 3/778?
0
Is -1155 smaller than -1156?
False
Which is smaller: 3 or -116?
-116
Is 0.1 at most -187?
False
Are -33 and 2/257 non-equal?
True
Which is greater: 0 or -3/59?
0
Is 1 smaller than 6/4403?
False
Which is bigger: -363 or -366?
-363
Is -1779 equal to -1779?
True
Is -0.00032 greater than 1?
False
Is -524 greater than -1571/3?
False
Is -109 equal to -1648/15?
False
Is 1 at least 3/68?
True
Is -1.6232 less than 1/4?
True
Which is smaller: 1/3 or -0.082?
-0.082
Which is bigger: 4 or -73?
4
Which is smaller: -1/5 or -656/7?
-656/7
Is 1419 >= 1418?
True
Which is smaller: 19/145 or -1?
-1
Are -378 and -377 equal?
False
Which is smaller: 3/4708 or 1?
3/4708
Are 47 and 228/5 unequal?
True
Which is smaller: -925 or -2/3?
-925
Which is bigger: 33 or 13?
33
Is 0 smaller than 1?
True
Is -1001 bigger than -1001?
False
Are 0 and 14/13 non-equal?
True
Is -11 >= 1629?
False
Which is bigger: -18 or -20?
-18
Which is greater: 15 or 113?
113
Which is bigger: 6/295 or 1?
1
Which is smaller: 2/5377 or -1?
-1
Which is smaller: 95/9 or 12?
95/9
Which is smaller: -10 or -0.1?
-10
Which is smaller: 1 or 2/9733?
2/9733
Is -5982 at most -5981?
True
Is -10459/6 < -1744?
False
Are 0 and -4/37 nonequal?
True
Which is smaller: -13 or 23?
-13
Do -10412 and -10411 have different values?
True
Are -2711 and -1 equal?
False
Which is greater: 7/4 or -29/5?
7/4
Is 753 at most 754?
True
Which is smaller: -18 or 2/7?
-18
Are 4.7 and 0 nonequal?
True
Which is greater: -0.1 or 9/8?
9/8
Is -324 less than or equal to -324?
True
Which is greater: 2/733 or -1?
2/733
Is 13 less than or equal to -37?
False
Which is bigger: 1/3344 or 1?
1
Which is smaller: -2/9 or 273?
-2/9
Which is greater: 31/1062 or -1?
31/1062
Is 0 less than 21/239?
True
Which is bigger: -43/234 or -1?
-43/234
Is 2 bigger than -4/845?
True
Which is smaller: -2417/4 or -605?
-605
Is -1/2 at most -2225?
False
Do 49 and 47 have the same value?
False
Which is smaller: -622 or -3108/5?
-622
Which is bigger: -149 or 0.1?
0.1
Is -237 at most as big as -1903/8?
False
Is 30 less than 625/21?
False
Is 25/4 smaller than 2/9?
False
Which is smaller: -1/18 or -7.1?
-7.1
Which is smaller: -2 or 0.036?
-2
Which is bigger: 1 or -2066?
1
Is 0 at most as big as 0.024?
True
Is -217/13 >= -18?
True
Is -41 < -38?
True
Is 6 not equal to 16?
True
Do 29 and 29 have the same value?
True
Is -4 > 182?
False
Is -0.62 less than -0.06?
True
Is -2/479 at most -1?
False
Is -4523 at least -4521?
False
Is 570 != 571?
True
Is -118 at most 10?
True
Which is smaller: 1 or -118/371?
-118/371
Which is greater: -312 or -311?
-311
Is 81/5 equal to 15?
False
Is 1 greater than or equal to 3/905?
True
Are 909 and 909 nonequal?
False
Is 4 >= -40.2?
True
Which is smaller: -30 or 22?
-30
Which is smaller: 41/183 or 0?
0
Which is bigger: -290 or -285?
-285
Are 2/5 and 1.53 nonequal?
True
Is 1/7 less than -0.076?
False
Is 19 smaller than 19?
False
Is 6836 greater than 6835?
True
Is 180 at | {
"pile_set_name": "DM Mathematics"
} |
(sqrt(108)/(-1*sqrt(6)))/sqrt(6).
-sqrt(3)
Simplify sqrt(343) + (sqrt(343) - 2*sqrt(343)) + -3.
-3
Simplify 6*(sqrt(76)/sqrt(4) + sqrt(19) + -3)*1.
-18 + 12*sqrt(19)
Simplify (sqrt(65)*2)/sqrt(5) + -1.
-1 + 2*sqrt(13)
Simplify (sqrt(133) - 3*sqrt(133)*-1)/sqrt(7).
4*sqrt(19)
Simplify 4 + (-2 + -1*sqrt(13) + 2)**2.
17
Simplify -6*(5 + 1 + sqrt(19)) + 2.
-34 - 6*sqrt(19)
Simplify (-3*sqrt(114)*-6)/(sqrt(6) - sqrt(96)*6).
-18*sqrt(19)/23
Simplify (-5*(0 + sqrt(245)) + -5)**2 + -2.
350*sqrt(5) + 6148
Simplify ((sqrt(242)*1)/sqrt(11))/(sqrt(275)*-2 - sqrt(11)).
-sqrt(2)/11
Simplify (-4*-5*sqrt(52)/(sqrt(4) - -4*(sqrt(4) + sqrt(8)/sqrt(2))))**2.
5200/81
Simplify ((sqrt(65)/sqrt(5) + -4)*-3)**2.
-72*sqrt(13) + 261
Simplify (-4 + sqrt(2)*-1 + sqrt(2))**2 + (sqrt(18)*1)**2.
34
Simplify 3*(sqrt(143) + (-1*sqrt(143) + sqrt(143) - sqrt(143)) + sqrt(143) + sqrt(143))/sqrt(11).
6*sqrt(13)
Simplify (-3*sqrt(1375) - sqrt(55))/(2*(sqrt(25)/sqrt(5) + sqrt(5)) - sqrt(5) - sqrt(5) - sqrt(5)).
-16*sqrt(11)
Simplify (-4*sqrt(98))**2 + 0.
1568
Simplify (((sqrt(1584) + 1 - sqrt(1584)) + -5 - sqrt(1584)) + sqrt(1584) + -1*(-3 + sqrt(1584)))**2.
24*sqrt(11) + 1585
Simplify 4*(-5 + sqrt(209)/sqrt(176)).
-20 + sqrt(19)
Simplify (-3 + 1 + sqrt(242))**2.
-44*sqrt(2) + 246
Simplify (sqrt(63)/sqrt(28))/(sqrt(27) - (sqrt(27) + sqrt(135)/sqrt(5))).
-sqrt(3)/6
Simplify (sqrt(84)/(sqrt(12) - (-2*sqrt(96))/sqrt(8)) - (sqrt(847) + 1)*-5)**2.
1660*sqrt(7)/3 + 193117/9
Simplify (sqrt(225)/(sqrt(25)/sqrt(5)) + sqrt(45))/sqrt(144).
sqrt(5)/2
Simplify -3*((sqrt(3) - (4*((sqrt(12))**2 - sqrt(3)) + sqrt(3))) + sqrt(3)).
-15*sqrt(3) + 144
Simplify (-2*(sqrt(112) - sqrt(112)*-1)**2 + ((1 + (0 + sqrt(112) - sqrt(112)))**2 - sqrt(112)))*-6.
24*sqrt(7) + 5370
Simplify ((sqrt(80) + 2*sqrt(80))/sqrt(10))**2.
72
Simplify (-2 + sqrt(567)*-2 - (2*(1 + sqrt(567)) - sqrt(567)))**2.
216*sqrt(7) + 5119
Simplify (2*sqrt(396)*4 - sqrt(396))**2 + sqrt(396).
6*sqrt(11) + 19404
Simplify (sqrt(600)*2)/(sqrt(3)*-2*5).
-2*sqrt(2)
Simplify -1*((sqrt(1100)*-4)**2 + -4).
-17596
Simplify sqrt(28)/sqrt(4)*1 + 5.
sqrt(7) + 5
Simplify 1*((sqrt(208) + 0)**2 + sqrt(208) - sqrt(13))*6.
18*sqrt(13) + 1248
Simplify (2*sqrt(70)*-2)/sqrt(10).
-4*sqrt(7)
Simplify ((sqrt(117) + sqrt(117)*-4 + sqrt(117) + sqrt(117))*3)/sqrt(9).
-3*sqrt(13)
Simplify (-5*sqrt(200)*-2*3)**2.
180000
Simplify 6*(sqrt(176) + -1)**2.
-48*sqrt(11) + 1062
Simplify 2*sqrt(76)*1.
4*sqrt(19)
Simplify -3 + (sqrt(3) - sqrt(108)).
-5*sqrt(3) - 3
Simplify (sqrt(1960)*2)/(-1*sqrt(32)/sqrt(4)).
-14*sqrt(5)
Simplify (1 + sqrt(17))*6 + -1 + sqrt(17) + 0.
5 + 7*sqrt(17)
Simplify (sqrt(612) + -3*sqrt(612)*-1 + sqrt(612) + (sqrt(612) - (sqrt(612) + 1)*-1))**2.
84*sqrt(17) + 29989
Simplify 5*-5*((0 + sqrt(5) + -1)**2 + -1).
-125 + 50*sqrt(5)
Simplify ((1 + sqrt(19))**2 + -4)*-4.
-64 - 8*sqrt(19)
Simplify sqrt(228)/sqrt(108) + 3 + -2*sqrt(19).
-5*sqrt(19)/3 + 3
Simplify -2*(sqrt(272)*-5*4)**2.
-217600
Simplify (sqrt(17) + -1 + -4)*-6.
-6*sqrt(17) + 30
Simplify -5*(((-1*sqrt(153))/sqrt(9))**2 + 5).
-110
Simplify -1*(6*sqrt(2)*1 - (sqrt(8) + (sqrt(8) + sqrt(8) + 0 - sqrt(8))))**2.
-8
Simplify (sqrt(84) - ((sqrt(84) + -2*sqrt(84)*2 - sqrt(84)) + sqrt(84)))/sqrt(12)*2.
8*sqrt(7)
Simplify (1*sqrt(605) + sqrt(605) - sqrt(45)*-4)**2.
5780
Simplify sqrt(405)/sqrt(9) - (3 + sqrt(5)*-1).
-3 + 4*sqrt(5)
Simplify (sqrt(2299)*1 + 4*sqrt(76))**2.
6859
Simplify (sqrt(7) - (sqrt(7) + (sqrt(7) - sqrt(63))))**2*-5 + 4 + sqrt(112) + ((sqrt(28) + 1)*-2 - sqrt(28))**2.
28*sqrt(7) + 120
Simplify 1 + sqrt(99)/(sqrt(9)*-2).
-sqrt(11)/2 + 1
Simplify (1*(sqrt(1008)/sqrt(7) - sqrt(9))/sqrt(3))**2.
27
Simplify (2*sqrt(96))/(sqrt(108)*-2).
-2*sqrt(2)/3
Simplify ((sqrt(114)*-2 + sqrt(114) + sqrt(114))*1 + sqrt(114) + sqrt(114) - sqrt(114))/(sqrt(60)/(sqrt(10)*2)).
2*sqrt(19)
Simplify ((0 + sqrt(162) - sqrt(162) - sqrt(162)) + sqrt(2) + sqrt(686)/sqrt(7))**2.
2
Simplify -5 + (4 + 1 + sqrt(5))*3.
3*sqrt(5) + 10
Simplify (-2*(sqrt(5) - (2 + sqrt(5))*6))**2.
480*sqrt(5) + 1076
Simplify sqrt(3)*-6*4 + sqrt(18)/(sqrt(6)*-4).
-97*sqrt(3)/4
Simplify (1 + sqrt(17) + 1 - (((sqrt(17) + (sqrt(153) - sqrt(17)))*4 - sqrt(17)) + sqrt(17)))**2*-3.
-6183 + 132*sqrt(17)
Simplify (0 + sqrt(50))**2 + -2.
48
Simplify (6*(-2*sqrt(102)*-2)/sqrt(6))**2.
9792
Simplify ((sqrt(133) + 1*sqrt(133) + sqrt(133))/sqrt(7) - sqrt(19) - 1*sqrt(76))**2.
0
Simplify (1*(sqrt(432) + (sqrt(432) - 5*(sqrt(432) - (sqrt(432) + 0 - sqrt(432))))) + -2)**2.
144*sqrt(3) + 3892
Simplify 2*((2 + -3 + sqrt(11))*-3)**2.
-36*sqrt(11) + 216
Simplify sqrt(320)/sqrt(4) - (sqrt(5) + (sqrt(55)/(sqrt(22)/sqrt(2)))**2).
-5 + 3*sqrt(5)
Simplify 5 + (1 + sqrt(32))**2 + sqrt(14)/sqrt(63).
25*sqrt(2)/3 + 38
Simplify (-6*(sqrt(204)/sqrt(6) - sqrt(34)) + sqrt(34))/(-3*sqrt(72)).
-sqrt(17)/18
Simplify (sqrt(143)/(sqrt(33)/sqrt(3)))**2 + (2 + sqrt(39)/sqrt(3))**2.
4*sqrt(13) + 30
Simplify (sqrt(1539) - (sqrt(1539) - (sqrt(1539) - (3 + sqrt(1539))))) + (2 + sqrt(19))*1.
-1 + sqrt(19)
Simplify (sqrt(2299) + -4*sqrt(2299))**2*-5.
-103455
Simplify 3*sqrt(117)/(sqrt(27)/sqrt(3))*-6*4.
-72*sqrt(13)
Simplify (-5*(-4 + sqrt(468) + sqrt(468) + -1))**2.
-3000*sqrt(13) + 47425
Simplify (-1*sqrt(11)*3 - (-5 + (sqrt(33)/sqrt(3))**2))*-5.
30 + 15*sqrt(11)
Simplify 4 + (-1*sqrt(28)*1)**2.
32
Simplify 4 + -1 + (sqrt(1331) + 0)*-2.
-22*sqrt(11) + 3
Simplify (sqrt(84) + -6*(2*sqrt(84) + sqrt(84) + sqrt(84)))/(-3*(sqrt(36)/sqrt(3) + sqrt(12) + sqrt(12))).
23*sqrt(7)/9
Simplify (5*(5 + sqrt(1100) + (sqrt(1100) + 1)*-1))**2.
400
Simplify (4*6*1*sqrt(1900))**2.
1094400
Simplify sqrt(605)*4 + -2.
-2 + 44*sqrt(5)
Simplify 6*-5*sqrt(18).
-90*sqrt(2)
Simplify -2*(-3 + (sqrt(468) - (sqrt(468) - (-5 + sqrt(468)))**2)).
-12*sqrt(13) + 56
Simplify (sqrt(6480)*-4)/sqrt(9).
-48*sqrt(5)
Simplify sqrt(7) + sqrt(14)/sqrt(2) + 2 + -3*(sqrt(28)/sqrt(4))**2.
-19 + 2*sqrt(7)
Simplify (sqrt(153)/(sqrt(576) + -2*sqrt(576) - sqrt(576)))**2.
17/256
Simplify 5 + (2 + sqrt(192))**2.
32*sqrt(3) + 201
Simplify (sqrt(99)/(sqrt(9) - 2*sqrt(9)) + -4)*-3.
3*sqrt(11) + 12
Simplify -2*(-1*sqrt(448) + sqrt(7)).
14*sqrt(7)
Simplify ((-3*sqrt(2)*5 + 2)*3)**2.
-540*sqrt(2) + 4086
Simplify (-5*3*sqrt(228) + sqrt(228) - sqrt(228) - sqrt(228))/(1*sqrt(48)).
-8*sqrt(19)
Simplify -1*sqrt(152)/sqrt(8) + ((sqrt(152)*1)/sqrt(8))**2.
-sqrt(19) + 19
Simplify 3*sqrt(6)/sqrt(2) + sqrt(27) + 1.
1 + 6*sqrt(3)
Simplify 0 + sqrt(272) + -1.
-1 + 4*sqrt(17)
Simplify (sqrt(320) + (sqrt(320) + 1)**2)*-6.
-1926 - 144*sqrt(5)
Simplify -3 + 2*sqrt(245).
-3 + 14*sqrt(5)
Simplify -4 + (sqrt(891) - (1 + sqrt(891))).
-5
Simplify -1*sqrt(500) + 0 - sqrt(500).
-20*sqrt(5)
Simplify (sqrt(1872)*-2 + -3)**2 + (sqrt(1872) + 0)**2 + -5.
144*sqrt(13) + 9364
Simplify (sqrt(189)*-6)/sqrt(7).
-18*sqrt(3)
Simplify (((sqrt(65) - (sqrt(65) + (2*sqrt(65) - sqrt(65))))/sqrt(5) - sqrt(13)) + -5)**2.
20*sqrt(13) + 77
Simplify (sqrt(88)/sqrt(4)*-1 + sqrt(22))/sqrt(11) + -1.
-1
Simplify (sqrt(60) + sqrt(120)/sqrt(2))/sqrt(12) + 2 + (sqrt(5) - sqrt(45))**2 + 2 + 4.
2*sqrt(5) + 28
Simplify (sqrt(75) + sqrt(75)*3*3 + sqrt(75) + sqrt(75))**2 + sqrt(75)*2*-2.
-20*sqrt(3) + 10800
Simplify (-2*(-1 + (sqrt(700) - (3*sqrt(700) - sqrt(700)))))**2.
80*sqrt(7) + 2804
Simplify sqrt(170)/(sqrt(20)/(sqrt(2) + sqrt(6)/sqrt(3))) + 5.
5 + 2*sqrt(17)
Simplify (sqrt(847) - ((-1 + sqrt(847))*5)**2)*-2 + 3.
-1122*sqrt(7) + 42403
Simplify 3*(sqrt(847) + sqrt(847) + 1 + (sqrt(28)/sqrt(4))**2 + -3 + -5).
66*sqrt(7)
Simplify sqrt(500)*5.
50*sqrt(5)
Simplify ((sqrt(45) + (sqrt(45) - -6*sqrt(360)/sqrt(8)))/((sqrt(126)/sqrt(2))/sqrt(7)))**2.
320
Simplify (sqrt(170)*-1*-5)/((-2*sqrt(70))/sqrt(7)).
-5*sqrt(17)/2
Simplify (5*(sqrt(700) + -2) + 3)**2.
-700*sqrt(7) + 17549
Simplify (sqrt(117) + -1*1*sqrt(117))/(5*sqrt(27)/sqrt(3) + sqrt(9)).
0
Simplify (sqrt(432) + sqrt(432) + (sqrt(432) - (sqrt(432) + 0)) + -1)**2 - 1*sqrt(432)*-2.
-24*sqrt(3) + 1729
Simplify (sqrt(1080)*1 + sqrt(1080) + sqrt(1080))/(sqrt(10) + 2*(sqrt(10) - 1*sqrt(10))).
18*sqrt(3)
Simplify -5*sqrt(48)*2.
-40*sqrt(3)
Simplify (sqrt(968)*2)/(1*sqrt(28)/sqrt(7)).
22*sqrt(2)
Simplify (((sqrt(21) - (sqrt(63)/sqrt(3) - sqrt(21))) + sqrt(21))*-1)/(sqrt(84)/(sqrt(48)/sqrt(4))).
-2*sqrt(3)
Simplify ((sqrt(2448) - 2*sqrt(2448)) + sq | {
"pile_set_name": "DM Mathematics"
} |
= -136 - g. Solve -7 = i*m + 8 for m.
-3
Suppose 6*u - u = 65. Suppose 0 = -5*a + y + 21, -5*a - 179 + 198 = y. Solve -u*l = -a*l - 9 for l.
1
Let i be (-2 - (-48)/8) + (147 - -2). Solve 54*n = i + 63 for n.
4
Suppose 5*z = -25 + 5, -2*i - z = -6. Suppose 0 = 2*d + 3*n, -i*d = -0*n - 3*n - 21. Solve v = -d*v for v.
0
Let o be (-72)/(-6) + -9 - 1*(-2 - 0). Solve -42 = o*w - 7 for w.
-7
Suppose -3*u = 2*u - 20. Suppose f = u*f. Suppose 3*b + f*b = 6. Solve -4*o + 2 = -b for o.
1
Let j(v) = 1. Let b(p) = 19*p - 2. Let n(z) = b(z) - 3*j(z). Let a be n(1). Let s be (-8)/a + 32/7. Solve -w + 0*w = -s for w.
4
Suppose -214*k = -116*k - 1176. Solve -158 + 146 = -k*g for g.
1
Let m(a) = -17*a - 80. Let x(c) = -11*c - 53. Let q(p) = 5*m(p) - 8*x(p). Suppose 4*t + 15 = -13. Let w be q(t). Solve -w = -5*v + 7 for v.
2
Let d(g) = -5*g**2 - 5*g - 5. Let l be d(-2). Let n be 17/(-2) - (l/2)/(-5). Let s = -10 - n. Solve s = j - 3*j for j.
0
Let v(d) = 14*d + 42. Let i be v(-3). Suppose i = -2*t + 6*t - 24. Solve t*x = -0*x - 12 for x.
-2
Let r = 152 - 166. Let v be (-208)/r - 2/(-14). Solve v*c + 2 = 16*c for c.
2
Let j = -6139 - -6139. Solve 4*i - 23 + 39 = j for i.
-4
Let a(z) = -z**3 + 12*z**2 + 45*z + 39. Let k be a(12). Solve -574*f + k*f = 20 for f.
4
Suppose -v - 2*i + 13 = 0, 4*i - i = v + 7. Suppose 992*j = 987*j + v. Solve 0 = -5*w - 6 + j for w.
-1
Suppose 5*z - 328 = -328. Let i(q) = q**3 - 15*q**2 - 17*q + 22. Let h be i(16). Solve z = -h*l + 10*l + 4 for l.
-1
Let p(y) = 4*y - 5. Let s(a) = -11*a + 14. Let h(w) = -8*p(w) - 3*s(w). Let f be h(6). Suppose -671 = -271*m + 142. Solve f*z - z = -m for z.
-1
Let f(m) = m**3 - 16*m**2 - 37*m - 10. Let y be f(18). Let u = y + 37. Solve -u + 23 = 7*g for g.
2
Suppose 5*s - 5*t = -5, 24 = 3*s + 5*t - 13. Solve s*p = -16*p - 160 for p.
-8
Let w(z) = -z + 2. Let l = 1 + -5. Let a be w(l). Suppose 42*h + 12 = 3*n + 39*h, 0 = -5*n + 2*h + 8. Solve n = 2*j + a for j.
-3
Let q be 188 - (-2)/(-10)*40. Solve 11*b - q = -19*b for b.
6
Let m = -40 - -67. Suppose 4*z - 190 - 1078 = -b, 3*z - 3*b = 966. Let q = 325 - z. Solve 4*k + q - m = 0 for k.
5
Let k be (4/(-10))/(6/360*3). Let y(v) = -4*v**3 - 32*v**2 + 3*v + 38. Let p be y(k). Solve -p - 2 = 8*c for c.
-2
Let d(l) = -4*l**2 + 109*l - 635. Let h be d(18). Solve 54 = -22*f + h*f for f.
6
Suppose -4*t + 19 + 1 = 0. Let k = -2396 + 2395. Let u be (t + (-5)/1)/k. Solve -5*x + 3*x = u for x.
0
Suppose 4*g - 4 = 0, 28 = -4*m - 5*g - 399. Let f = -143 - m. Let w be -3 + -1*f/5. Solve w*v + 4 = -0 for v.
-1
Suppose 0 = 420*a - 412*a - 32. Let i be -3 - 3/(3/(-23)). Suppose 3*z + z = 3*z. Solve -a*f + z = -i for f.
5
Let h(b) = b**3 + 79*b**2 - 39*b - 3078. Let j be h(-79). Let z = 15 - 3. Let s = 6 - 3. Solve -s*p + j = -z for p.
5
Let s be 0*(4/(-6))/(120/180). Solve -69*g + 101*g + 192 = s for g.
-6
Let s(d) = 103*d + 1032. Let c be s(-10). Solve 48*w + c = 46*w for w.
-1
Let p(l) = 6*l - 51. Let h be p(10). Suppose m = 4*m - 3*c, c - 2 = 0. Solve -3 + h = -m*y for y.
-3
Suppose -4*z + 5*z + 4 = 0. Let h be z/(-18) + (87/(-27) - -6). Suppose -x + h*x = -7*x. Solve x*q - 4 = -4*q for q.
1
Let x be 0 + -11*(0 - 1) - (-324 - -316). Solve -x*c + 102 = -2*c for c.
6
Let k(x) = 36*x**2 - 2 + 116*x**3 + 0*x - x - 112*x**3 - 34*x**2. Let y be k(1). Solve -7 = 10*n - y*n for n.
-1
Suppose -3*i = -7 + 13. Let y be (1 - i)*39/3. Let r = -29 + y. Solve -7*x = -2*x - r for x.
2
Suppose 6 = 15*d - 16*d - 3*k, 2 = -d - k. Suppose -p - 3*z = 2, p - 21*z + 18*z - 10 = d. Solve p*h - 2 = -6 for h.
-1
Let s be ((-2)/4)/(1/(-4)) + 127. Let b = s + -131. Let d be b*((-3 - -4) + -5). Solve -g - g = d for g.
-4
Let o = -40575 - -40581. Solve 0 = -3*z + 12 + o for z.
6
Let j(a) = 2*a**2 - 26*a - 55. Let f be j(16). Let o = 45 - f. Solve 5*p + o + 11 = 0 for p.
-3
Suppose 0 = -2*o - s + 195, -8*s = 15*o - 18*o + 245. Solve 0 = -o*c + 100*c - 15 for c.
3
Suppose 3459*x = 3465*x - 36. Solve -x*c + 10*c - 16 = 0 for c.
4
Let l be (1/5)/(74/1850). Suppose w - 7 + 0 = 0. Solve -w = -l*j - 2 for j.
1
Let c(p) = -2*p + 22. Suppose 12 = -3*z - 5*j, j + 23 + 19 = -5*z. Let r be (z/(-2))/((-20)/(-40)). Let u be c(r). Solve -x + 5 - u = 0 for x.
1
Suppose 89*k + 2376 = 46*k + 65*k. Solve 0 = k*w - 109*w - 2 for w.
-2
Let r(n) = 3*n + 11 - 14*n + n**2 + 2*n. Let q be r(8). Suppose q*b - 5 + 18 = 5*u, 0 = -4*u - 5*b + 3. Solve 2 = -w - u for w.
-4
Suppose -15*m + 8*m - 6804 = 0. Let q = -954 - m. Solve 0 = 9*p - 9 - q for p.
3
Suppose -4*t = 15*w - 13*w - 6020, -2*t + 8*w = -3028. Solve 0 = -5*k - t + 1486 for k.
-4
Let y(m) = 79*m - 158. Let s be y(2). Let u(c) be the second derivative of 2*c**3/3 - 8*c. Let g be u(2). Solve s = -2*r + 4*r + g for r.
-4
Let p = 4251 - 4223. Solve -48 = p*w - 52*w for w.
2
Let s = 5672 - 5639. Solve 6*p + s = -5*p for p.
-3
Suppose 26*g - 12*g - 9775 = -9*g. Solve 94*t - g = 9*t for t.
5
Suppose 40845 + 857 = 29*t. Solve t = 5*r + 1478 for r.
-8
Let a(z) = 304*z + 2401. Let d be a(-7). Solve -d*y = -279*y - 18 for y.
-3
Let l(c) = -c**3 + 24*c**2 - 190*c + 1831. Let b be l(10). Solve b = -3*r + 1328 for r.
-1
Let i be 16/14 + 1/(-7). Let j be 2 - i - 144/(-18). Let g be 3*(6/j + 1). Solve g*p = p + 8 for p.
2
Let m(q) = -2*q**2 - q + 41. Let u be m(0). Let b(g) = 5*g**2 + 4*g + 8. Let v be b(-3). Let f = v - u. Solve 3*h + h = f for h.
0
Let i(m) = 13*m + 15. Let r be i(-1). Let j be -12*((-17)/(-6))/(-17)*r. Solve -6 - 2 = j*n for n.
-2
Let b(d) be the second derivative of 5/6*d**3 + 0 + 0*d**2 - 11*d. Let j be b(1). Solve -5 = 5*g + j for g.
-2
Let m = 85 + -82. Suppose -16 = -w - m*z, 20 = -w + 4*z + 1. Let o be (-2*w)/(30/(-75)). Solve -o*p = -0*p + 25 for p.
-5
Let x(c) = -c**3 - 9*c**2 + 9*c - 15. Let k be x(-10). Let z be (-4 + 39/6)*(-6)/k. Let i be (-11 + -1)*z/(-6). Solve -3*b - 9 = -i*b for b.
3
Suppose -7*p + 42 = -4*p. Suppose -9*u + p*u - 20 = 0. Suppose 2*l + 8 = u*l + 2*b, l + 4 = 3*b. Solve -8 = 2*f - l for f.
-3
Let r be ((-6)/(-96)*4)/((-17)/(-748)). Solve 133 = -8*k - r*k for k.
-7
Suppose 0*p + 27 = 2*p + 5*a, 2*p - 12 = -2*a. Let t(l) = l**3 - 3*l**2 - p + 1 + 23*l - 20*l. Let q be t(2). Solve -q = -c - 7 for c.
-5
Let s(r) = r**2 + 3*r - 11. Suppose -5 = 3*w + 2*w, -8 = -y + 2*w. Let o be s(y). Let b = -40 + o. Solve 0 = -b*n - 1 - 11 for n.
-4
Suppose -9*p - 14 = -16*p. Suppose p*t = 5*l - 135 + 399, 0 = l + t + 57. Let y = -52 - l. Solve 0 = -2*h - y*h for h.
0
Let x = -13937 + 14088. Solve -3*s - 130 + x = 0 for s.
7
Let u(o) = -3*o**3 - 5*o**2 + 10*o + 2. Let f be u(3). Let a = f + 106. Solve 4 = 2*r + a for r.
-4
Let f = -194 - -209. Suppose 5*m = -0*m + f. Solve m = -3*w - 6 for w.
-3
Suppose 6*c + 55*c = 17080. Solve -103*d + 143*d = c for d.
7
Let z be (1 - 7)*(-8)/(-24)*2. Let t be -1 + (12/16)/((-1)/z). Solve b + 1 = t for b.
1
Let h(q) = -4*q**2 - 8*q - 12. Let f be h(-5). Let x = f + 72. Suppose 0 = 4*r + o - 12, 2*r + 3*o + 2 + 2 = x. Solve n - r = -0 for n.
4
Let p be (1 + 0)/(8/24). Let h be ((-1)/p)/((-175)/(-45) + -4). Solve 4*v - h*v = 0 for v.
0
Let q be (-3)/(2/(-1) - -1). Suppose -4*s = 4, 5*v + s - 63 = 11. Suppose 88 = v*k - 137. Solve q*b = -2*b - k for b.
-3
Let y be ((-1)/(2/4))/(67/(-67)). Let w be 8/6*1/(y/(-3)). Let g be 0 - w/(-2) - -4. Solve 7 + g = 2*k for k.
5
Let a = -360 - -352. Let t be (-12)/a + (-2 - 7/(-14)). Solve 5*v - 28 + 3 = t for v.
5
Let v be 0/(2*1) - 0. Let s = -289675 + 289677. Suppose 0 = -5*n - u + 13, 0*n + 2*n + 3*u - 13 = 0. Solve 4*y + n + s = v for y.
-1
Let w(n) = -5*n - 10. Let x be 5/((-220)/(-8)) - (-35)/(-11). Let r be w(x). Solve -r*u - 20 = -u for u.
-5
Let z(w) = w**3 + 6*w**2 + 215*w + 1050. Let n be z(-5). Solve 9*h + 58 - 130 = n for h.
8
Let t(r) = 2*r**2 - 5*r - 17. Let k(z) = -z**3 - 6*z**2 + 6*z + 2. Let n be k(-7). Suppose 0 = n*b - 5*b - 24. Let v be t(b). Solve 2*d - 7*d = v for d.
-5
Suppose 3*w + 24 = 2*r - 17, -4*r - 4*w = -32. Let n = -14 - -17. Suppose n*d = 15, -d - 1 = k - 2*d. Solve -k*q - 7 = r for q.
-5
Let n be -2*(205/82)/(2/(-20)). Solve -53*o + n = -43*o for o.
5
Let t = -4109 - -4191. Solve -t = 12*n - 10 for n.
-6
Let o(c) = c**2 + 7*c + 6. Let u be o(-2). Let f(v) = -v**3 - 3*v**2 + 6*v + 5. Let t be f(u). Let d be 63/27 + t + 77/3. Solve 3*k - d = 8*k | {
"pile_set_name": "DM Mathematics"
} |
= 4*c**2. Determine i(y(n)).
576*n**4
Let b(k) = -95 + 2*k + 95. Let v(y) = 15*y + 4. What is b(v(o))?
30*o + 8
Let r(v) = 6*v. Let i = -2021/3 + 674. Let b(u) be the first derivative of 0*u**2 - 2 + 0*u - i*u**3. Determine r(b(n)).
-6*n**2
Let w(b) = -49*b. Let h(q) = 187*q**2 + q. Calculate h(w(r)).
448987*r**2 - 49*r
Let t(v) = -5*v**2. Let j be 18 + 1/4*4. Let h = 122 - j. Let d(m) = -2*m**2 - 103 + h. Give t(d(f)).
-20*f**4
Let i(f) be the third derivative of -5*f**4/8 - 131*f**2. Let g(b) = 31*b. Give i(g(s)).
-465*s
Let r(b) = -2*b**2. Let g(a) = 413244*a**2. Determine r(g(m)).
-341541207072*m**4
Let x(j) = 10*j**2. Let i(q) = 132949*q. Determine i(x(f)).
1329490*f**2
Let x(l) = -3*l + 46. Let g be x(14). Let u(y) be the third derivative of 10*y**2 - 7/24*y**g + 0*y**3 + 0*y + 0. Let t(c) = -3*c. Determine t(u(h)).
21*h
Suppose -t + 6*t = 30. Let g(s) = -6 + 0 + t - 4*s. Let z(b) = 2*b**2 - b. Let a(j) = 7*j**2 - 3*j. Let i(k) = -2*a(k) + 6*z(k). Determine i(g(v)).
-32*v**2
Let z(x) = -3*x**2. Let o(j) be the second derivative of -23*j**4/12 + j**2 - j - 21. Calculate z(o(w)).
-1587*w**4 + 276*w**2 - 12
Let j(k) = 7 - 5*k**2 + 0 - 3 - k**2 - 4*k. Let s(f) = -5*f**2 - 3*f + 3. Let w(z) = 3*j(z) - 4*s(z). Let a(r) = -10*r. Calculate w(a(u)).
200*u**2
Let f(v) = -4*v. Let q(l) = -16789*l + 1. Determine f(q(b)).
67156*b - 4
Suppose d = 3 - 1. Let o(q) = 2 - 2 + 4*q**d. Let s(n) be the first derivative of n**3/3 - 11. Determine s(o(i)).
16*i**4
Let i(x) = -159*x. Let r(o) = 64*o - 191*o + 65*o + 61*o. Calculate r(i(b)).
159*b
Let j(y) = -37*y - 2. Let x(t) = -100 + 11*t + 100 - 6*t - 3*t. Calculate x(j(i)).
-74*i - 4
Let b(w) = 2*w. Let f(r) = -3*r**2 + 106028*r. What is b(f(v))?
-6*v**2 + 212056*v
Let r(z) = 35*z + 7. Let v(f) = 24*f + 5. Let m(k) = -5*r(k) + 7*v(k). Let s(a) = 6*a - 2*a - 3*a. What is s(m(q))?
-7*q
Let z(p) = -6*p**2. Let s = 48 + -15. Let t(f) = -35*f + 64*f - s*f. What is t(z(l))?
24*l**2
Let d(h) = -13486*h. Let x(s) = 28*s**2. What is d(x(k))?
-377608*k**2
Let t(w) = -2*w - 3. Let f(u) = 0*u + 2*u - 4*u + 4*u + 0*u. Give t(f(v)).
-4*v - 3
Let t(a) = -356*a. Let i(s) = -18*s + 1 + 11*s + 5*s - 1. What is t(i(j))?
712*j
Let t(n) = -7*n. Let i(h) be the first derivative of 0*h**2 - 4/3*h**3 + 0*h - 7. Calculate i(t(b)).
-196*b**2
Let w(s) = 3*s**2 + 10*s. Let d(k) = -5*k**2 + k**2 + 4*k**2 - 5*k**2. Give w(d(u)).
75*u**4 - 50*u**2
Let c(a) be the third derivative of 0*a - 4*a**2 + 1/20*a**5 + 0*a**4 + 0 + 0*a**3. Let n(j) = 2*j**2. Determine c(n(u)).
12*u**4
Let i(x) = x**2 + 2*x + 1. Let n(q) = -107*q**2 + 12*q + 6. Let b(z) = -6*i(z) + n(z). Let k(j) = -2*j. Calculate b(k(m)).
-452*m**2
Let q(l) = 22*l**2 + 2*l - 2. Let j(s) = 86*s**2 + 9*s - 9. Let g(v) = 2*j(v) - 9*q(v). Let x(z) = 3*z**2 + z**2 - 6*z**2. What is x(g(b))?
-1352*b**4
Let s(n) = -2*n**2. Suppose -19 = -28*w + 27*w. Let y(q) = -5 + 2 + w*q + 3. Calculate s(y(x)).
-722*x**2
Let n(u) = -2*u + 538. Let b(i) = -570 - 15*i + 7*i + 570 + 10*i. Calculate n(b(q)).
-4*q + 538
Let j(r) be the first derivative of -r**3 - 852. Let m(k) = k - 1. Let d(z) = 12*z - 20. Let g(x) = d(x) - 20*m(x). Calculate j(g(h)).
-192*h**2
Let a(g) = 2*g. Let z(i) = 10*i**3 + i**2 + i + 1. Let p be z(-1). Let b = p + 14. Let c(r) = b - 5 - 4*r + 0. Calculate c(a(u)).
-8*u
Let i(y) be the first derivative of 25 + 3/2*y**2 + 0*y. Let f(n) = -10*n. What is f(i(x))?
-30*x
Let j(g) = 143*g**2 + 91*g**2 - 281*g**2. Let s(i) = 10*i**2. Calculate j(s(x)).
-4700*x**4
Let r(m) be the third derivative of -7*m**6/72 + 8*m**3/3 - 18*m**2. Let v(f) be the first derivative of r(f). Let t(z) = -z**2. Give t(v(q)).
-1225*q**4
Let o(r) = -6*r + 2*r + 5*r. Let b(q) = -13*q. Let t(p) = 3*p. Let d(g) = -2*b(g) - 9*t(g). Let a(z) = 3*d(z) + 5*o(z). Let f(v) = -14*v. Calculate f(a(u)).
-28*u
Let d(l) = 1007*l. Let b(z) = 19*z**2 - 3. Calculate d(b(m)).
19133*m**2 - 3021
Let k be ((-18)/(-63))/((-1)/((-7)/1)). Let h(o) = -5*o**2 + 6*o + 14*o**k - 12*o**2. Let i(b) = 2*b. Give i(h(z)).
-6*z**2 + 12*z
Let m(t) be the first derivative of t**3/3 + 228. Let a(k) = -17*k**2 + 2. What is a(m(r))?
-17*r**4 + 2
Let u(i) = 5*i. Let w(p) = -6601*p**2. Calculate w(u(t)).
-165025*t**2
Let v(g) = 3*g. Let d(s) = 21*s + 2*s**2 - 31*s - s**2 - 16*s. What is d(v(k))?
9*k**2 - 78*k
Let x(y) = y - 489. Let a(v) = -8*v**2. Give a(x(b)).
-8*b**2 + 7824*b - 1912968
Let d(f) = f**2 - f. Let v(z) = 16*z**2 - 3*z. Suppose 0 = -9*s + 11*s - 6. Let u(n) = s*d(n) - v(n). Let c(g) = -g. What is c(u(x))?
13*x**2
Let n(a) = -2*a. Let s(t) be the third derivative of 0*t + 1/3*t**4 + 0*t**3 - 10*t**2 + 0. Determine n(s(d)).
-16*d
Let c(w) = -55*w. Let o(y) = -y. Let u(a) = c(a) - 44*o(a). Suppose -12 = 3*j - 5*t - 3, -6 = -2*t. Let k(v) = 6*v - 5*v - j*v. Determine k(u(s)).
11*s
Let m(f) = 13*f**2 - 5*f. Let w(b) = 32*b**2 - 12*b. Let y(g) = 12*m(g) - 5*w(g). Let t(z) = 16*z + 21*z - 35*z. What is y(t(a))?
-16*a**2
Let y(f) = 3*f. Let x(u) = -2*u. Let q(k) = 14*x(k) + 6*y(k). Let g(n) be the second derivative of n**4/2 + n + 21. Determine g(q(b)).
600*b**2
Let f = 6 + -1. Suppose -l + 0*l + d = -7, 5*l = -f*d - 15. Let o(t) = -4*t**2 - l*t**2 - 2*t**2. Let h(r) = r. What is o(h(q))?
-8*q**2
Let j(m) = 2*m**2 + 1541. Let x(n) = -385*n**2. Give j(x(o)).
296450*o**4 + 1541
Let x(h) = -22*h + 229 - 229. Let v = 10 + -7. Let d(b) = v*b - 3*b - b + 3*b. What is d(x(g))?
-44*g
Let i(l) = -674 + l - 583 + 950. Let d(j) = -3*j. Determine i(d(m)).
-3*m - 307
Let r(p) = p**2 - 6*p + 9. Let f be r(5). Let g(v) be the third derivative of 7/60*v**5 - 8*v**2 + 0 + 0*v**3 + 0*v + 0*v**f. Let u(a) = -2*a. Give u(g(n)).
-14*n**2
Let z(h) = -h**2 + 6*h - 1. Let g be z(5). Let m(x) = g*x**2 + 8*x**2 + x**2. Let i(l) be the first derivative of -l**2 + 30. Give i(m(j)).
-26*j**2
Let x(u) = -6*u**2 - 3*u - 3. Let t(s) = -5*s**2 - 2*s - 2. Let d(k) = -3*t(k) + 2*x(k). Let p = 5 + -5. Let f(a) = p*a + 2*a + a. What is d(f(y))?
27*y**2
Let s(d) = 3*d - 16. Let x(o) = 26837*o + 1. What is x(s(n))?
80511*n - 429391
Let m(k) be the second derivative of -k**4/12 - 61*k - 1. Let b(a) = 284*a. Determine m(b(n)).
-80656*n**2
Let f(p) = -3*p - 1419. Let l(b) = -6*b**2. Calculate l(f(t)).
-54*t**2 - 51084*t - 12081366
Let w(b) = -7*b**2. Let f(a) = -2601*a. Calculate w(f(v)).
-47356407*v**2
Let a(u) = -u**2. Let i(p) be the third derivative of p**5/120 - p**3 - p**2. Let v(s) be the first derivative of i(s). What is a(v(y))?
-y**2
Let y(s) be the third derivative of 0 + 0*s + 0*s**3 - 1/8*s**4 - 2*s**2. Let n(u) = -2*u**2. Give n(y(g)).
-18*g**2
Let z(u) be the third derivative of -21*u**4/4 - 2*u**2 - 7. Let h(y) = y**2. Determine h(z(o)).
15876*o**2
Let d(m) = -2*m. Let h(c) = -3*c - 27. Let o be h(-11). Let u(k) = -8*k - 6*k**2 + o*k + 2*k. Calculate u(d(s)).
-24*s**2
Let x(p) = -49*p**2. Let n(g) = 403*g - 198*g - 209*g. Determine x(n(v)).
-784*v**2
Let r(m) = m**2. Let o(q) = 7285080*q. Calculate o(r(s)).
7285080*s**2
Let o(p) be the first derivative of -17*p**2/2 - 47. Let s(x) = x. Let f(b) = -3*b**2 + 2*b. Let d(g) = f(g) - 2*s(g). Give o(d(y)).
51*y**2
Let x(n) = -6*n. Let m(z) = -375*z**2 + 70*z. Let f(k) = 22*k**2 - 4*k. Let g(p) = -35*f(p) - 2*m(p). What is g(x(h))?
-720*h**2
Let v(f) = -4*f + 23. Let c(d) = d - 7. Let j(g) = -6*c(g) - v(g). Let l(u) = -5*u. Determine l(j(s)).
10*s - 95
Let y(s) = -117188*s**2. Let w(p) = p. What is y(w(n))?
-117188*n**2
Let b(a) = -a - 5. Let w(o) = 1. Let l(g) = -2*b(g) - 10*w(g). Let r(y) = -45*y. Let c(t) = 9*t. Let v(u) = -21*c(u) - 4*r(u). Determine v(l(x)).
-18*x
Let r(x) = -9*x**2. Let k(c) be the second derivative of 2*c**3/3 - 2*c. Give k(r(g)).
-36*g**2
Let f(r) = -r. Let q(t) = -20*t - 347. Let p(d) = -6*d - 115. Let h(j) = -7*p(j) + 2*q(j). Determine h(f(a)).
-2*a + 111
Let g(v) = 1652222*v. Let m(l) = -3*l**2. Calculate g(m(j)).
-4956666*j**2
Let u(v) = -v**2. Suppose 77 + 40 = 9*o. Suppose -3*b - 4*y - 3 + 65 = 0, y = -4*b + 74. Let a(d) = b*d - 11*d - o*d. Give a(u(f)).
6*f**2
Let v(x) = 45*x. Let j(u) = 2970*u**2. Calculate j(v(i)).
6014250*i**2
Let y(p) = 9116*p**2. Let u(k) = -8*k - 1. Calculate y(u(w)).
583424*w**2 + 145856*w + 9116
Let x(w) = -w. Let s(r) = -2*r. Let g(v) = -4*s(v) + 3*x(v). Let o(m) = | {
"pile_set_name": "DM Mathematics"
} |
p - 88*p + 62, 0 = 2*b + 5*p - 16. Sort 4, -149, 2, b.
-149, 2, 4, b
Suppose 62*s + 36 + 93 = 19*s. Sort -5, s, -34, 2 in increasing order.
-34, -5, s, 2
Suppose -6*r = -52 + 64. Let d = 189 + -187. Put -12, r, d, -4 in increasing order.
-12, -4, r, d
Let t(j) = -j**3 - 36*j**2 + 36*j - 35. Let v be t(-37). Suppose 40 = -v*d + 2. Put d, -5, -1, -4 in increasing order.
d, -5, -4, -1
Let j be 55/(-110)*1/(-4). Put j, -42, 1, 2 in increasing order.
-42, j, 1, 2
Let w = -29408.034 - -29408. Sort 1/2, 3, -0.04, -1, w.
-1, -0.04, w, 1/2, 3
Let z = -24.299 + 25.199. Let y = 2.1 + -2. Sort 1, z, 4, y in increasing order.
y, z, 1, 4
Let v be -3 - 10*(-18)/90. Suppose 3*h - 2*o - 6 - 22 = 0, -4*o = 2*h + 8. Put 0, v, h in ascending order.
v, 0, h
Let k be (-4 + (-4 - -4))/(-2). Suppose -k*t - 3*t - h - 13 = 0, 4*h + 18 = -3*t. Let l be ((-3 + 6)/(9/12))/t. Sort -5, l, 1, 5 in decreasing order.
5, 1, l, -5
Let z = 5952 - 5957. Put -0.3, -55.9, z in ascending order.
-55.9, z, -0.3
Suppose -9*l + 7 = -17*l - 1. Sort l, -2, 5/286.
-2, l, 5/286
Let v = -19233 + 19235. Put 1, v, -1, 0, 3 in increasing order.
-1, 0, 1, v, 3
Let q = -5.97896 + 2.97896. Suppose 4*a + 3*r = 4*r - 3, 0 = -5*a + 3*r - 2. Let m be a/(-3) - (1 - 1). Put -2, q, m in decreasing order.
m, -2, q
Let b be 1*(2/8 + 647/4). Let l = -157 + b. Sort l, -2, 3.
-2, 3, l
Let m = -145 + 242. Let t = 97.2 - m. Let c(d) = -d + 1. Let k be c(1). Sort t, k, -4, -5 in decreasing order.
t, k, -4, -5
Let f = 0.2 - 0.123. Let k = -25.953 + 26. Let o = f - k. Put -0.3, -3, o in increasing order.
-3, -0.3, o
Let r = -2.21 - -232.21. Let g = 229.5 - r. Put -11, g, -4/3 in increasing order.
-11, -4/3, g
Suppose 15 = 3*z + 3. Suppose -970 = 5*y + 4*p, 0 = -5*y - 4*p + 7*p - 970. Let k = y - -197. Put k, 1, z, -1 in descending order.
z, k, 1, -1
Let q(x) = -x + 9. Let p be q(8). Suppose 365 = 227*w - 316. Let k be 30/4*(-16)/(-24). Sort p, w, 2, k in descending order.
k, w, 2, p
Suppose -661 = -24*h - 733. Sort 11, h, -2 in decreasing order.
11, -2, h
Let t = 26.041 - 24.461. Sort 2, -2, 10/3, t in descending order.
10/3, 2, t, -2
Let b = -3489 + 3564. Put b, -3, -2, 1 in ascending order.
-3, -2, 1, b
Suppose 4*j + 161 = b, -6*b = -b - 5. Suppose 0*x - 3*c = -2*x - 1, -5*c = -5*x. Put j, x, 5 in descending order.
5, x, j
Let j = -14922 + 14922.7. Sort j, 0.428, 0.2 in decreasing order.
j, 0.428, 0.2
Let c = -1992/11 + 33853/187. Sort 1, -1/25, -2/19, c in descending order.
1, -1/25, c, -2/19
Let l(t) = -64*t + 704. Let r be l(0). Let n = r + -5635/8. Let o = -4.3 - -4. Put n, o, -6.8 in descending order.
o, n, -6.8
Suppose 0 = m + 4*m - 10. Suppose 13 = m*g + 3. Let q = 3486 + -3482. Put g, -2, -1, q in descending order.
g, q, -1, -2
Let m = -2 + 6. Suppose 251*k = -93*k - 238*k + 11*k + 3426. Put m, 3, k, 0.2 in decreasing order.
k, m, 3, 0.2
Let n be (-3 - -2)*(-28)/(2 + 2). Let d be (n/(-14))/((-44)/24 + 2). Sort 3, d, 4 in decreasing order.
4, 3, d
Let d be (32/(-48))/(36/172152). Sort 0, 4, d in increasing order.
d, 0, 4
Suppose 3*m = 4*a + 17, 0 = 2*a + 111*m - 110*m + 1. Let x = -103/21 - -32/7. Sort a, 2, x, -5/2 in increasing order.
-5/2, a, x, 2
Suppose 0 = -4*p - k - 15, 939 = 3*p - 2*k + 942. Sort p, -14, 4, 27, 3 in increasing order.
-14, p, 3, 4, 27
Suppose -7*u + 756 = 5*u. Suppose -5*y = -68 + u. Sort y, 41, -1 in decreasing order.
41, y, -1
Let y(g) = -2*g - 21. Let k be y(-12). Suppose 5*v + 8*h - 10*h + 12 = 0, -2*v + h = 5. Sort k, v, 5 in descending order.
5, k, v
Suppose 3*l - 6 = 0, -53 = -5*p + 2*l - 52. Sort p, 3, 4, 10.
p, 3, 4, 10
Let m be ((1020/96)/17)/((-13)/(-104)). Suppose -2*s - 4*z - 6 = 0, -5*s - 3 - 3 = z. Let t = 0 + -4. Put s, m, 4, t in decreasing order.
m, 4, s, t
Let p = 432 + -429. Let u = -28 - -6. Put 2, p, u in ascending order.
u, 2, p
Let x = -242.26 + 219.26. Put -2, -0.08, x in decreasing order.
-0.08, -2, x
Let f = -0.128 - 0.067. Let c = -0.105 + f. Put -30, -1, c, 0 in ascending order.
-30, -1, c, 0
Let s = 139.28 + -55.28. Sort s, 4, -2/21, -5.
-5, -2/21, 4, s
Suppose -2*o - 2*t + 2 = -4*o, 4*o - 3*t = 1. Suppose o*s = -0*s. Suppose -5*x + 5871*l = 5868*l + 6, 12 = x - 5*l. Sort 5, s, -2/11, x in descending order.
5, s, -2/11, x
Let h = -4.02 + 4. Let w = 0.5303 - 0.2303. Sort -5/4, w, 1.6, h in descending order.
1.6, w, h, -5/4
Suppose -44*q + 199 = 1079. Suppose k - 78 + 73 = 0. Sort -2, 4, q, k in decreasing order.
k, 4, -2, q
Suppose -147 + 432 = -19*j. Suppose 11 - 96 = -5*x. Let w = 16 - x. Put w, 4, j in increasing order.
j, w, 4
Let j = 0.2 + 0.3. Let z = 122490 - 857431/7. Let f = 0.3 - 0.1. Sort z, f, j, -1/4 in ascending order.
-1/4, z, f, j
Let t = -20607 - -20604. Sort -13, 5, 2, t, -1.
-13, t, -1, 2, 5
Let m = -7962 + 7964. Put -32, m, 3 in decreasing order.
3, m, -32
Suppose 50*x + 51*x = 357*x - 1280. Put -4/3, -5, 557, x in descending order.
557, x, -4/3, -5
Suppose 0 = -673*d + 791*d - 4720. Put d, 5, 0, -1, 97 in ascending order.
-1, 0, 5, d, 97
Let t be 9*((-143)/(-165))/13. Put t, 0.4, -0.1, 2, -176 in decreasing order.
2, t, 0.4, -0.1, -176
Let n be (9 - 16/8) + (3 - (-48)/(-4)). Sort -7, 1, -3, 14, n in increasing order.
-7, -3, n, 1, 14
Let y = -296.67 - -287.67. Sort 5, y, 37 in descending order.
37, 5, y
Let x = -2.2 + 2.5. Let l = 1094 - 1089. Sort -1, x, l, 4.
-1, x, 4, l
Let l = -0.5155 + -0.4845. Sort 1, 33, l in descending order.
33, 1, l
Let a = 842 - 843. Let g = 10 - -9. Let k = 93/5 - g. Put a, 3/7, k in ascending order.
a, k, 3/7
Let i = -53 + -277. Let j = i + 315. Sort -1/2, -5, j.
j, -5, -1/2
Suppose 5*a + 21 = -2*m, -5*m + 6*m = -3*a - 12. Sort 5, 25, m in decreasing order.
25, 5, m
Let x = 0.8906 + -22.8906. Put 1/5, x, -3.2 in decreasing order.
1/5, -3.2, x
Suppose 2*y = 7 + 3. Let s(q) = 11*q - 70. Let n(t) = 4*t - 23. Let w(z) = -17*n(z) + 6*s(z). Let u be w(-15). Sort u, -4, y in ascending order.
-4, u, y
Let j be -1*(1 + 4*-1). Suppose j*x - f - 7 = 3*f, -f - 16 = 4*x. Let s = 185.95 - 190.95. Put -0.1, x, s in descending order.
-0.1, x, s
Suppose 0 = -v + 5*s + 9, 3 = -2*s - 1. Suppose -26 = 4*h + 3*t, -65*h + 3*t = -66*h - 11. Sort 9, h, v, -2 in descending order.
9, v, -2, h
Suppose -2*u + 5 = -5*l - 41, -3*u + 17 = -l. Sort 7822, -4, 5, u in decreasing order.
7822, 5, u, -4
Let t be (56/6)/((-62)/(-12) - 5). Suppose -q - 3*o + 3 = 0, 55*q - t*q = -o - 19. Sort -6, 2/7, q in descending order.
q, 2/7, -6
Let h = -8.07149 + 0.07149. Put h, -83, 4/3 in decreasing order.
4/3, h, -83
Suppose -22 = -150*y + 161*y. Let x(s) be the second derivative of -s**4/12 + 2*s**3 + 8*s**2 + 9*s. Let q be x(12). Sort y, 1, q in descending order.
q, 1, y
Let j be (4/(-10))/(3/(-25))*108/72. Suppose 0 = i + 2*h + 10, -4*h - 8 = 4*i + 20. Put i, j, -2 in descending order.
j, -2, i
Let g = 2 - 4. Let d = 216 + -215.456. Let b = d + 3.456. Sort 5/4, b, 1, g.
g, 1, 5/4, b
Let c(f) = f**3 + 7*f**2 + 4*f - 10. Let t be c(-6). Suppose -70*h = m - 75*h - 25, -m - t*h = 3. Sort -1/5, -4/7, -2/9, m in ascending order.
-4/7, -2/9, -1/5, m
Suppose 4*z = -5*v + 4*v - 3, v = -3*z + 1. Suppose -6*r + 53 = -v. Put 1, -4, r in descending order.
r, 1, -4
Let b = 20 + -18. Suppose -2*k = -k - 4*q + 11, 0 = b*k - 2*q - 2. Sort 2/13, -1/5, k in ascending order.
-1/5, 2/13, k
Suppose 3 = b + 3. Let x = 2472 - 2475. Sort 1, b, -2/29, x in decreasing order.
1, b, -2/29, x
Let c = -115 + 88.6. Let a = c - -27.4. Put 1/8, 2/3, a in ascending order.
1/8, 2/3, a
Let d(g) = -369*g - 1848. Let h be d(-5). Sort 5, -2, h, -20, 0 in descending order.
5, 0, -2, h, -20
Suppose 13 = -4*m + b, -2*b = 4*m + m + 13. Let x be (-12)/(-2) + 18/9. Let f be 0/x + 2/4. Sort m, 2/3, f.
m, f, 2/3
Let m = -1 - -1.4. Let o = 5364343/35 + -153210. Let p = o + -284/5. Put 5, p, -3, m in increasing order.
-3, p, m, 5
Let o = -3/1105 + 2231/7735. Sort -0.1, 0.2, o.
-0.1, 0.2, o
Let c(b) = -b**2 + 10*b - 12. Let d = -142 + 150. Let j be c(d). Suppose -4*x + 6 = 4*y - 3*y, -3*y - 3*x + 9 = 0. Sort 0, y, -13, j in descending order.
j, y, 0, -13
Suppose 23*m = 24*m + 3. Let k be 3736/(-20) - 20/(-25). Let c = k - -188. Put m, 6, c in ascending order.
m, c, 6
Let n = -228 - -390. Let h = 166 - n. Let j = -11 + 7. Sort h, j, 0 in increasing order.
j, 0, h
Let z(o) = 440*o + 18922. Let | {
"pile_set_name": "DM Mathematics"
} |
-2*w + 3*u = -3. Let j(f) = -9*f - 5. Let b(n) = 5 - 2 + 4*n - 1. Give w*j(o) + 7*b(o).
o - 1
Let o(v) = 309*v - 14. Let y(g) = -100*g + 5. Determine 2*o(s) + 7*y(s).
-82*s + 7
Let g(s) = -6*s - 25*s + 8*s + 30 - 8*s - 9*s. Let r(n) = n - 1. Determine g(a) + 30*r(a).
-10*a
Let r(b) = -6*b**3 + 3*b**2 + 3*b. Let c be 5*-1*(15/(-25) - 0). Let j(f) = -c + 3 + 11*f**3 - 5*f - 7*f**2 + 2*f**2. Give -3*j(t) - 5*r(t).
-3*t**3
Let c(u) = -8*u**2 + 2. Let g(n) = 23*n**2 + n**2 - 23*n**2. Determine -c(i) - 2*g(i).
6*i**2 - 2
Let f(l) = 3*l - 8 - 6*l - 6*l + 4*l. Suppose 0 = -5*c + 13 + 57. Let u(j) = -c - 6*j + 8 - 3. Determine 7*f(s) - 6*u(s).
s - 2
Let k(d) be the second derivative of d**3/6 + 3*d**2/2 + 15*d. Let z be ((-18)/(-45))/(3/(-255)). Let v(x) = 6*x + 17. Give z*k(m) + 6*v(m).
2*m
Let c(g) = -g**2 + g - 2. Let z(o) = 4*o**2 - 3*o - 53. Determine -3*c(s) - z(s).
-s**2 + 59
Let z(m) = 9*m. Let o = -4 - -21. Let w(u) = 26*u. Suppose -4*g + 3*g = -50. Let y = -56 + g. Give o*z(i) + y*w(i).
-3*i
Let z(b) = b**2 - b + 1. Let y(x) = -2*x**2 + 2*x - 2. Let w be 0 + -7 + 6 - 4. Give w*z(l) - 2*y(l).
-l**2 + l - 1
Let q(t) = -t + 6. Let a = 66 - 72. Let h(n) = n**3 + 7*n**2 + 9*n + 17. Let u be h(a). Let d(f) = -f + 1. Determine u*q(i) + 3*d(i).
-2*i - 3
Let a(p) = -p**3 + p + 1. Let k(o) = -11*o**3 + 3*o**2 + 3*o + 3. Determine 3*a(y) - k(y).
8*y**3 - 3*y**2
Let q(w) = w**2. Suppose 4*u + 3*x + 7 = 0, 4*x = -3*u + 7*x. Let r(z) = -8*z**2 - 2*z + 1. Calculate u*r(k) - 6*q(k).
2*k**2 + 2*k - 1
Let a(h) = -22*h**2 + 3*h - 69. Let y(w) = -35*w**2 + 4*w - 103. Determine -8*a(t) + 5*y(t).
t**2 - 4*t + 37
Let g(j) = -9. Let a(x) = -x - 8. Let l(b) = -5*a(b) + 4*g(b). Suppose 4*w - 47*r = -49*r + 20, r - 17 = -3*w. Let d(z) = 6*z + 5. Calculate w*l(o) - 6*d(o).
-o - 2
Let z(g) = 8*g**3 + 4*g**2 + 5*g. Let p(c) = 15*c**3 + 7*c**2 + 9*c. Let u(q) = -q**2 + 7*q - 16. Let a be u(2). Give a*p(f) + 11*z(f).
-2*f**3 + 2*f**2 + f
Let c(z) = -4*z**3 + 27*z**2 + z - 6. Let d(h) = -5*h**3 + 28*h**2 + h - 7. Give 7*c(v) - 6*d(v).
2*v**3 + 21*v**2 + v
Let t = 9 - 6. Suppose -3*z - 3 = 0, 0*n + t*z + 1 = n. Let d(a) = 3*a**3. Let r(i) = -3*i**3 - 5*i**3 + i**3. What is n*r(l) - 5*d(l)?
-l**3
Let n(f) = -4*f + 1. Let z be (-15)/3 + 3 - -4. Let c(l) = 21*l - 5. Let i be 2/(4/21) - (-2)/4. Calculate i*n(o) + z*c(o).
-2*o + 1
Let g(b) = 5*b**2 + 3*b + 1. Let c be (-8 - (-10 + -8)) + -11. Let k(s) = s**2 + s. Give c*g(u) + 2*k(u).
-3*u**2 - u - 1
Let l(w) = -w - 2. Let a(p) be the first derivative of p**2/2 + p + 29. Give -2*a(v) - l(v).
-v
Let i(b) = -12*b**3 + 2*b**2 - 3*b - 3. Let j(w) = -w - 1. What is -i(c) + 3*j(c)?
12*c**3 - 2*c**2
Let z(o) = o**3 - o**2 + o. Let c(s) be the second derivative of s**5/5 - 5*s**4/12 + s**3/2 + 2*s**2 - 214*s + 2. Give -c(b) + 5*z(b).
b**3 + 2*b - 4
Let r(b) = -b**2 - b + 4. Let k = -6 + 11. Let t be ((-2)/k)/((-12)/120). Let p(u) = 5*u**2 - 3*u**2 + 5*u**2 - t*u**2 - 11 + 3*u. Give -6*p(j) - 17*r(j).
-j**2 - j - 2
Let t(w) = -22*w**2 + w - 1. Let s(m) = -m**3 - 2. Calculate s(d) - t(d).
-d**3 + 22*d**2 - d - 1
Let o(a) = 4*a - 2. Suppose -d + 4 = 2*d + 5*b, 4*b + 15 = -5*d. Let u(t) = 9*t - 5. Suppose -k = -0 + 5, 4*s + 4*k = -8. Calculate d*o(h) + s*u(h).
-h - 1
Let n(r) = -r - 2. Let g be (-4)/10 + (-17)/(-5). Let z(o) = -3. Let i(s) = 7. Let j(k) = 4*i(k) + 9*z(k). Calculate g*j(u) + n(u).
-u + 1
Let k(w) = -15*w**3 - 9*w**2 - 17*w - 5. Let a(v) = 10*v**3 + 6*v**2 + 11*v + 3. Calculate 8*a(l) + 5*k(l).
5*l**3 + 3*l**2 + 3*l - 1
Let f(j) = -3*j**3 + 2*j - 4. Suppose -7*h + 34 = -4*b - 9*h, 5*h = -4*b - 19. Let k(u) = 8*u**3 - 7*u + 11. Determine b*f(y) - 4*k(y).
y**3 + 6*y
Let k(f) = f**3 - 1. Let v(h) = -h**3 + 2*h**2 - 6*h + 3. Give 3*k(s) + v(s).
2*s**3 + 2*s**2 - 6*s
Let z(b) = -24*b**3 - 11*b**2 + 2. Let h(i) = -13*i**3 - 6*i**2 + 1. Let y(q) = -7*h(q) + 4*z(q). Let l(f) = 6*f**3 + 3*f**2 + f. Give -2*l(p) - 3*y(p).
3*p**3 - 2*p - 3
Suppose 0 = -2*t - 23 + 7. Let u(h) = -2*h**2 + 3*h. Suppose w - 5 = -3. Let n(v) = 3*v**w + 8*v - 3*v**2 - 6*v**2. Give t*u(l) + 3*n(l).
-2*l**2
Let h(k) = -k**2 + k + 1. Let l(j) = 5*j**2 + 9*j + 2. Determine 4*h(g) - 2*l(g).
-14*g**2 - 14*g
Suppose v - 129 + 123 = 0. Let n(y) = -8*y - 4. Let u(a) = 9*a + 5. What is v*n(b) + 5*u(b)?
-3*b + 1
Let x(s) = -2*s + 526. Let z(d) = -4*d + 790. What is -8*x(n) + 5*z(n)?
-4*n - 258
Let z = -2 + 1. Let f be (2 - 0) + (60/6)/(-5). Suppose 6*y - 14 - 10 = f. Let m(o) = o. Let s(a) = a**3 + 3*a. Give y*m(t) + z*s(t).
-t**3 + t
Let u(v) = -6*v**2 + 9*v + 4. Let j(t) = 7*t**2 - 10*t - 5. Determine 3*j(l) + 4*u(l).
-3*l**2 + 6*l + 1
Let b(d) = -d + 1. Let o(u) = -194*u + 2. Determine -3*b(w) + o(w).
-191*w - 1
Let j be (66/12)/((-1)/2). Suppose 5*d - 2*c + 8 = 6, 0 = 5*c + 20. Let m(k) = -3*k + 2. Let f(n) = 16*n - 11. Determine d*f(w) + j*m(w).
w
Let k(t) = -t**2. Let h(p) = 12*p**2 + 17*p + 23. Let a(r) = 2*r**2 + 3*r + 4. Let f(c) = 34*a(c) - 6*h(c). What is -f(w) - 3*k(w)?
7*w**2 + 2
Suppose 0 = 4*p - 19 + 43. Let s(q) = 15*q**2 - 4*q + 4. Let w(r) = 7*r**2 - 2*r + 2. Determine p*s(c) + 13*w(c).
c**2 - 2*c + 2
Let z(m) = -583*m**2 + 5*m - 5. Let r(x) = -291*x**2 + 2*x - 2. Calculate 5*r(o) - 2*z(o).
-289*o**2
Suppose 0 = -103*k + 115*k - 72. Let x be 6/(-27) + 155/9. Let u(w) = -2*w**2 + 6*w - 6. Let f(i) = 6*i**2 - 17*i + 17. Give k*f(h) + x*u(h).
2*h**2
Let t(r) = -r**2 - 4*r - 4. Let u(l) = 150*l - 49*l - 52*l + 3 - l**2 - 56*l - 10. Suppose 0 = 2*q - 7 + 15. Calculate q*u(k) + 7*t(k).
-3*k**2
Let k(i) = -i. Suppose -17*d + 25 = 42. Let b(m) = 6*m. What is d*b(c) - 5*k(c)?
-c
Let t(u) = 2*u**2 - 3*u - 3. Let o(k) = -2*k**2 + 4*k + 2. Give -4*o(w) - 3*t(w).
2*w**2 - 7*w + 1
Let j(w) = -4*w**3 - 274*w + 281*w + 6*w**3 - 2*w**2. Let a = 18 - 16. Let i(q) = -q**a + 6*q + q**3 - 5*q + 3*q + 0*q. What is -5*i(b) + 3*j(b)?
b**3 - b**2 + b
Let p(v) = -9*v**2 - 14*v - 8. Let x(l) = -5*l**2 - 8*l - 4. Give 3*p(k) - 5*x(k).
-2*k**2 - 2*k - 4
Suppose 0 = -7*g + 4 + 17. Let p(l) be the third derivative of 1/24*l**4 - 1/3*l**3 + 0*l + 0 - 2*l**2. Let o(y) = -y + 3. Determine g*o(k) + 4*p(k).
k + 1
Let h(m) = -6*m + 2. Let l(k) = 16*k - 7. Let z(x) = -11*h(x) - 4*l(x). Let b(g) = -g - 1. Calculate 5*b(o) + z(o).
-3*o + 1
Let z(c) = 4*c + 16. Let w(a) be the second derivative of a**3/6 + 3*a**2/2 + 4*a. Suppose 24 = 16*k - 232. Give k*w(x) - 3*z(x).
4*x
Let u(l) = 9. Let h(i) = 2*i - 35. Let j(s) = h(s) + 4*u(s). Let k(v) be the second derivative of v**3/6 - v**2/2 - v. Calculate j(r) - 3*k(r).
-r + 4
Let g(a) = 257*a**3 - 4*a**2 + 4*a. Let h(s) = -50373*s**3 + 783*s**2 - 783*s. Calculate 783*g(z) + 4*h(z).
-261*z**3
Let g(u) = -u + 4. Let z(v) = 11. Let d(s) = -24. Let j(x) = -6*d(x) - 13*z(x). What is 2*g(a) - 11*j(a)?
-2*a - 3
Let u(c) = 3*c**2 + 1. Let i(q) = -7*q**2 + 2*q + 2. Give i(n) - 2*u(n).
-13*n**2 + 2*n
Let p(x) = x**2 + 8*x + 163. Let f(v) = -v - 1. Determine 6*f(z) + p(z).
z**2 + 2*z + 157
Let h(b) = -5*b + 6. Let d(z) = 9*z - 11. Let u(q) = -10*q + 35. Let f be u(3). Determine f*h(r) + 3*d(r).
2*r - 3
Let v(x) = 91*x**2. Let t(n) = 35*n**2 - 77*n**2 - 17 + 33*n**2 + 17. Determine 21*t(b) + 2*v(b).
-7*b**2
Let i(h) = -h**3 - 3*h**2 - h. Let d(f) = -10*f**3 - 18*f**2 - 8*f. Calculate -d(y) + 6*i(y).
4*y**3 + 2*y
Let x(w) = -2*w + 2. Let o(k) = -85*k + 5. Determine o(i) - 2*x(i).
-81*i + 1
Let a(c) = -68*c**3 + 17*c**2 - 9*c + 17. Let r(u) = -23*u**3 + 6*u**2 - 3*u + 6. What is 6*a(q) - 17*r(q)?
-17*q**3 - 3*q
Let i be (-88)/(-28) + 2/(-14). Let v(y) = -5*y**2 + 4 - i - 2 - 2. Let h(d) be the second derivative of d**4/6 + d**2/2 + d. Calculate 7*h(c) + 3*v(c).
-c**2 - 2
Let v(r) = -2*r**3 + 7*r**2 - 7*r. Let b(n) = 3*n**3 - 8*n**2 + 8*n. Calculate 5*b(y) + 6*v(y).
3*y**3 + 2*y**2 - 2*y
Let m(s) = s**2 - 3*s + 3. Let r be m(6). Let k(l) = -3 + 4 + 15*l - 34*l + r*l. Let d(t) = -2*t - 1. Determine -6*d(a) - 5*k(a).
2*a + 1
Suppose 4*j - 67 = 3*z - 73, 5*j + 5*z + 25 = 0. Let m(r) = 1 + 0 - 2 - 1 + r**2 + r. Let n(k) = -2*k**2 - 2*k + 4. Determine j*n(u) - 5*m(u).
u**2 + u - 2
Let b(m) = 1065*m**2 + 6. Let w(l) = 6*l**2 - 1. Determine b(u) + 6*w(u).
1101*u**2
Let v(c) = -2*c**2 - 43*c - 52. Let x(s) = s**2 + 20*s + 26. Calculate 4*v(h) + 9*x(h).
h**2 + 8*h + 2 | {
"pile_set_name": "DM Mathematics"
} |
n 0.4, 0.2, -1/3?
0.4
What is the closest to 0.1 in 5.2, 1/4, -0.2, 4?
1/4
Which is the nearest to 5? (a) -2/5 (b) 0 (c) -17
b
What is the nearest to 1/4 in -0.17, -0.5, 5, -1/6?
-1/6
What is the nearest to -5 in 9, 3, 0.5, -0.9?
-0.9
What is the closest to -1 in -0.4, -125, -1/3, 3/8?
-0.4
What is the closest to -3 in 5, -0.1, 2/7, 4/7?
-0.1
What is the nearest to 1 in 0.059, -0.4, 2/7?
2/7
What is the closest to -6 in 1/7, -2/7, -2/5?
-2/5
Which is the nearest to -0.2? (a) 0 (b) -52 (c) 0.3 (d) 0.1
a
What is the closest to 0.5 in 3/8, 0.02, 3/2, 0.26?
3/8
What is the nearest to -0.2 in -0.03, -1/4, 2/11?
-1/4
What is the closest to 1 in -23, -1, -2?
-1
What is the closest to -1 in -2/3, 0.7, -41?
-2/3
Which is the nearest to 3? (a) 0.1 (b) 2/27 (c) -0.2
a
Which is the nearest to -0.2? (a) -14 (b) -0.5 (c) -4 (d) 0.4
b
What is the nearest to -1 in 2/7, -178/7, -0.4?
-0.4
Which is the closest to 1/2? (a) 0.04 (b) -0.1 (c) 11/7
a
Which is the nearest to 0.3? (a) -4 (b) -0.1 (c) 1/3 (d) -1/2
c
What is the closest to 1/4 in 6, 0.1, -0.03, 0.2?
0.2
What is the closest to -3/5 in 3, -4, 0.4, 3/7?
0.4
Which is the nearest to 3? (a) 0.1 (b) -2 (c) 1 (d) -5
c
Which is the nearest to 0? (a) -4 (b) -0.1 (c) 1 (d) 2/9
b
Which is the closest to -2? (a) 2/13 (b) -0.1 (c) -0.5 (d) -0.4
c
What is the nearest to -1 in 116, 1, 0?
0
What is the nearest to 0.1 in -2/7, 47, 2, 4?
-2/7
What is the closest to -0.2 in -5, -4, 0, -15?
0
What is the closest to 2/13 in 2, 4, 151/7, -1?
-1
Which is the nearest to 0.1? (a) 0.3 (b) -2 (c) -0.5 (d) 0.09
d
Which is the closest to 0.2? (a) 2/3 (b) -2/5 (c) 5 (d) -1
a
What is the closest to 1 in 4, -1/4, 3, 0.12?
0.12
What is the nearest to 1 in 0, -10, -3/4?
0
Which is the nearest to -0.7? (a) -0.3 (b) -3/11 (c) -13
a
Which is the closest to 32? (a) -2/11 (b) 2 (c) 31 (d) -5
c
Which is the nearest to -29? (a) 2/5 (b) -2/15 (c) -4 (d) -1/3
c
Which is the closest to 0.2? (a) -1/2 (b) -3 (c) -0.1 (d) 11
c
Which is the nearest to 1? (a) -0.13 (b) -4 (c) 5 (d) -2/7
a
What is the nearest to 2 in -2/23, -5, -2, 1/2?
1/2
What is the closest to -1/4 in 3/2, -33/2, 0.01, 1?
0.01
Which is the closest to 0.2? (a) 3 (b) 58 (c) 2/19 (d) 1/3
c
Which is the nearest to -22/7? (a) 2 (b) -1 (c) -1/3
b
Which is the nearest to 2? (a) 3/7 (b) -17 (c) -5/6
a
Which is the nearest to 0? (a) -2/73 (b) 0.2 (c) 3 (d) -0.5
a
Which is the nearest to 1? (a) -1/13 (b) -0.09 (c) -0.4 (d) -1
a
Which is the nearest to -0.1? (a) -1/4 (b) 1 (c) 4 (d) 6/5
a
What is the nearest to -14 in 0, -0.4, -1, -0.054?
-1
Which is the nearest to 0.1? (a) 0.4 (b) 0.3 (c) -2120 (d) -0.4
b
What is the closest to 0.3 in 3/7, -8/3, 0?
3/7
What is the nearest to -1/8 in -4, -1.3, 57?
-1.3
What is the nearest to 15 in 1, -1.3, 0.2, 4?
4
Which is the closest to 0.1? (a) -0.072 (b) -2 (c) -1
a
Which is the nearest to 2/9? (a) 2/39 (b) -2/11 (c) 0.2 (d) -2/3
c
Which is the closest to -2? (a) -2/3 (b) 4/7 (c) 36 (d) -5/6
d
What is the closest to -1 in -0.4, 3, 0.1, -256?
-0.4
What is the nearest to 2 in 4, 0.5, -10.2?
0.5
What is the nearest to -3/2 in 2/3, -2/9, 136?
-2/9
Which is the nearest to 0.2? (a) -153/7 (b) -0.2 (c) -2/5 (d) 4/9
d
What is the nearest to 22 in 0.5, -0.5, 0.02?
0.5
Which is the closest to -2/47? (a) 1/4 (b) 3 (c) -1/7
c
Which is the closest to -1? (a) 4 (b) 1 (c) -2
c
What is the nearest to 1/2 in -0.4, -2/11, 2, 0?
0
What is the nearest to 1 in 0.1861, 5, 2/13?
0.1861
What is the closest to 23 in -0.4, 29, 3/4?
29
Which is the closest to 10/93? (a) -1/2 (b) 6/5 (c) -3
a
What is the nearest to -1/2 in -2, 2, -46?
-2
Which is the nearest to -0.07? (a) -0.3 (b) 0.4 (c) 0.3 (d) -0.4
a
Which is the closest to 0? (a) -1/7 (b) 1/2 (c) -14/5 (d) 4
a
Which is the nearest to 1? (a) -2/15 (b) 10 (c) 3 (d) -3
a
Which is the nearest to -3? (a) -1 (b) 3/5 (c) 22/5 (d) 2/15
a
Which is the nearest to 2? (a) 0.1 (b) -0.1 (c) 61 (d) 3
d
Which is the closest to 4/5? (a) -0.1 (b) -0.4 (c) 0.2 (d) -5
c
What is the closest to 2 in 2, 2/11, -189?
2
What is the nearest to 0 in 3/7, 2, 27?
3/7
What is the closest to 5 in -0.5, 2/5, -4/9, 0?
2/5
What is the nearest to -0.16 in 2/9, -2/9, -6, 3?
-2/9
What is the nearest to 0 in -2, -6, 0.15?
0.15
What is the nearest to 8 in -1, 0.1, -0.2?
0.1
Which is the nearest to 1? (a) -20 (b) -4 (c) 1 (d) -0.4
c
What is the nearest to 1 in -8/5, 17, 2?
2
What is the closest to -1 in -0.5, 0.2, -0.26?
-0.5
Which is the closest to -1? (a) 2/7 (b) 0.021 (c) 2 (d) 2/3
b
What is the closest to 14 in -2/3, 5/6, -1/5, -5?
5/6
What is the nearest to -4/3 in -1/4, 4, 2/9, -3?
-1/4
Which is the nearest to 0? (a) -4/7 (b) -0.5 (c) -3/5 (d) 181
b
Which is the nearest to 0.2? (a) 4 (b) 0.7 (c) -0.8 (d) -3/2
b
What is the closest to -2 in -0.4, -878, -1/4?
-0.4
What is the nearest to 0.1 in -2/17, -0.01, -28?
-0.01
What is the nearest to -3642 in -1, -5, 5?
-5
Which is the nearest to 3/8? (a) 1/7 (b) -1/5 (c) -12/5 (d) 2
a
What is the closest to -0.1 in -0.18, 5/4, 5, 3?
-0.18
Which is the closest to -4/5? (a) 0.1 (b) 2/3 (c) -9
a
What is the nearest to -0.1 in 1/23, 0, -6/19?
0
What is the nearest to 0.0503 in 0.2, -5, 2, -4?
0.2
Which is the closest to 1? (a) 0.1 (b) 10 (c) 5 (d) 33
a
Which is the closest to 0? (a) -89 (b) 82 (c) 0
c
Which is the closest to -1? (a) 0.1 (b) 1/4 (c) 3/2 (d) -0.5
d
What is the nearest to 0 in -0.2, -33, 5?
-0.2
Which is the nearest to 0.2? (a) 2 (b) 0.24 (c) 2/7 (d) -3
b
What is the closest to -0.1 in 0, -2/5, -1.4, 3?
0
What is the nearest to -2 in 2, -0.04, 1/6, -1/4?
-1/4
Which is the closest to 2/7? (a) -0.3 (b) -2 (c) 1/2 (d) 12
c
Which is the closest to -2/3? (a) -10/3 (b) 2/13 (c) -8.5 (d) -8/3
b
What is the nearest to 8 in -5, 0, -3, -0.4?
0
What is the closest to 0.1 in 5, -0.4, 2, -0.5?
-0.4
What is the nearest to 2/7 in 0.263, 5, 1/5?
0.263
What is the closest to -1 in 0.08, 4/9, 1/9?
0.08
What is the closest to -1 in 3, 0.5, 67?
0.5
Which is the nearest to -0.1? (a) -2/17 (b) 1/2 (c) -14
a
What is the closest to -311 in 4/9, -0.3, 0.07, 0.2?
-0.3
What is the nearest to -2/7 in 7/6, 7/3, 3?
7/6
Which is the closest to 544? (a) 3 (b) -14 (c) -3/7
a
What is the closest to 2/13 in 1, 4, 0, -0.3?
0
What is the nearest to -3/4 in 0.2, 2/5, 0.33?
0.2
What is the nearest to 2/5 in -2.5, 2, 0.3?
0.3
What is the nearest to -12/11 in 5, -0.5, -1/5, -1?
-1
What is the closest to -3/4 in 0.1, 7, 2/45?
2/45
Which is the closest to 0? (a) -1/4 (b) -79 (c) -2 (d) 4
a
What is the nearest to 1/3 in -1/2, -3, -5/2, 0?
0
Which is the nearest to 0? (a) 11/4 (b) 5 (c) 0.1
c
What is the closest to -0.1 in 0.5, -0.3, 3, -209?
-0.3
Which is the closest to -0.1? (a) -3 (b) 3 (c) 0 (d) -5
c
Which is the closest to 2? (a) -6 (b) -4 (c) -0.7
c
What is the nearest to -1/3 in -7, -5, -2/13, -3?
-2/13
What is the closest to -71 in -0.4, 5, -3, -1/2?
-3
Which is the nearest to -1/2? (a) -3 (b) 3/11 (c) -9 (d) -19
b
Which is the closest to 1? (a) 0.1 (b) -2 (c) 5 (d) -2/17
a
Which is the nearest to -2/19? (a) -0.4 (b) 4 (c) 2/25
c
What is the closest to -1 in -2/7, 2/5, -2, -2/5?
-2/5
Which is the closest to -9? (a) 0.3 (b) 1 (c) -4 (d) -0.3
c
What is the nearest to 1 in 3, -5, 0.5, -2/11?
0.5
Which is the nearest to 9/2? (a) 0.4 (b) 2/13 (c) 0.6
c
What is the closest to -3 in -0.3, 2, 0, 7?
-0.3
Which is the nearest to 0.1? (a) -2/3 (b) 14 (c) -24 (d) 0.09
d
What is the closest to 1.1 in 0.5, -0.8, -0.2, -1/4?
0.5
What is the nearest to 2 in 0.5, 44, 3?
3
Which is the nearest to 0? (a) 2/5 (b) 1 (c) 6 (d) 10
a
What is the closest to 0 in -0.03, -5, 1/5, -1?
-0.03
Which is the closest to 2? (a) 5 (b) -5 (c) -46
a
What is the closest to 0.3 in 4, -0.2, -12/5, -15?
-0.2
What is the nearest to 9 in 2/15, 0.5, 3, -11?
3
Which is the nearest to 0.383? (a) 0.4 (b) -2/7 (c) 0.3 (d) -6/11
a
Which is the nearest to 2/7? (a) 0 (b) 186 (c) 2/3 (d) -3
a
Which is the nearest to 5? (a) 3 (b) -1/11 (c) 0.19
a
Which is the nearest to -1? (a) 5 (b) 0.2 (c) 0.07 (d) 0.4
c
What is the nearest to -1 in -0.9, 0.4, -7?
-0.9
What | {
"pile_set_name": "DM Mathematics"
} |
e 0 = g - 4*i + i + 6, -s*i = -12 for g.
3
Let v = 229 + -152. Let b = 102 - v. Let u(q) = q**2 - 2*q - 3. Let l be u(-2). Solve 5*z + j = -0*j + 21, -z + l*j = -b for z.
5
Let a(m) = -m**2 - 7*m - 2. Let l be a(-5). Solve -h + f = 0, -2*h - 5*f - l - 6 = 0 for h.
-2
Let j(c) = -2*c**3 - 10*c**2 + 5*c + 29. Let q be j(-5). Solve 3*x = -3*m - 9, x + q = m + 1 for x.
-3
Let o = 660 - 655. Solve -4*d = 3*b - 1, -4*b + 9*b + o*d = 0 for b.
-1
Suppose -62*a = -54*a. Solve -4*d = 5*p + 30, a*p = 5*d - p + 23 for d.
-5
Let j = 17 - -3. Let g = -8 - -13. Let p be (3 + -1 - 3)*(-30 + 27). Solve h = p*t - j, -3*h - h = 3*t + g for t.
5
Let v(r) = -r**3 - 6*r**2. Let a be (-18)/(-15)*(-5 - 0). Let m be v(a). Solve -2*b = 2*t + 6, b = -m*b + 2*t - 3 for b.
-3
Let w(g) = -g**3 - 7*g**2. Let x be (1/(-3))/(8/(-96)). Let o be -4 + (-4)/(x/3). Let i be w(o). Solve 2*k - 6 = 0, i*k + 4*k - 10 = s for s.
2
Let m(k) = 11*k**3 + 0*k - 7*k**3 - k. Suppose -3*i + 1 = -2. Let l be m(i). Solve l*f + 7 = -0*b - 2*b, -5*f - 17 = -2*b for f.
-3
Let g be -25 + 21 - (-6 + 2). Solve -3*j - 2*s = 1, -2 = -g*s + s for j.
1
Suppose c + k - 8 = -0*k, 0 = -5*k + 20. Solve -5*l = -2*y - c*l + 2, -y - 1 = -l for y.
3
Let q be 2550/315 - (-2)/(-21). Solve -10 = -5*j, -4*j + q*j - 18 = -2*z for z.
5
Let v = -666 + 668. Solve -4*p + 12 = 0, 10 = -s + v*p + 1 for s.
-3
Suppose -12 - 48 = 5*f. Suppose -4*z = 2*z - 6. Let p be f/(z/2 + -2). Solve -a = -3*j - 8, 3*a + j = -8 - p for a.
-4
Suppose 9*z + 93*z = 306. Solve 3*m + 2*s + 5 = 0, z*s + 14 = 2*m - 0*m for m.
1
Let k be 1*-3*(-91)/39. Suppose k = 2*s + 13. Let v be (-10)/s - (-6)/(-18). Solve 0*z - 2*z = v*q - 1, -3 = 3*q + 3*z for q.
3
Suppose 32*f - 34*f = 50. Let s = -23 - f. Solve -4*w + 4*x - 4 = 0, 5*w - s*x - 1 = x for w.
2
Let j(w) = -w**3 + 4*w**2 - 3*w. Let g be j(3). Let c be (g/((-12)/(-3)))/(-2). Suppose 3*h - 4*h + 13 = c. Solve -3*x - h = -2*k, -x + 4*k - 1 = -0*x for x.
-5
Let n(v) = -v**3 - 23*v**2 + 26*v + 61. Let x be n(-24). Solve 3*o + 3*l - 6 = -0, -2*l + x = 5*o for o.
3
Let k(a) = 2 - a**2 - 1 + 3 + 4*a. Suppose 27*z = 47*z - 80. Let w be k(z). Solve -r - 1 = -3*x, 2*x + 0 = 3*r - w for r.
2
Let x(l) = l**2 + 39*l + 224. Let j be x(-7). Let n be (-6)/8 - (-1)/(-4). Let p be 0 - (-3 - -2) - n. Solve 5*g = 4*f - 10 - 10, j = g - p*f + 4 for g.
-4
Let d = 388 + -379. Solve -a + 4*a - d = -3*t, -2*t = -a + 6 for a.
4
Suppose 281 - 92 = 3*y. Let j = 68 - y. Solve 3*t = 4*z - 4 - 0, -5*t - 30 = j*z for z.
-2
Let h be (108/30)/(3/(-10)). Let f be (h - -11)/(2/(-8)). Let u(s) = 2*s**3 - 6*s**2 - 8*s + 4. Let g be u(4). Solve -f*a - 4 = -p, 0*p - g*p - 22 = 3*a for a.
-2
Let j be ((-10)/(-25))/(1/5). Suppose d - g = 5, g = j*d + d - 5. Solve d*s = -4*s - 3*i - 5, 4 = -2*s - 2*i for s.
1
Let t(c) = c**2 - 6*c - 2. Let g be t(6). Let k be -1 + 6 + g - (2 - 2). Solve z - 7 = k*s, 2*z + 2 = -4*s - 4 for s.
-2
Suppose 6*x + 36 = 66. Solve x*s - 3*a = 4, 5*s + 0*a = -5*a + 20 for s.
2
Suppose -9*n + 235 = 199. Solve 5*s + 15 = n*z - 5*z, 2*s + z + 3 = 0 for s.
-4
Suppose 0 = 6*h - h + 20. Let c be (3 - (3 + h)) + -2. Solve 4*l - c*l + 4*f - 14 = 0, 2*f - 17 = -3*l for l.
5
Let q(l) = 3*l + 5. Let s be q(-2). Let w be (-14 - -17)/(s/(-1)). Solve w*y = 3*h + 6 - 15, 5*h - 3*y - 15 = 0 for h.
3
Let f(n) = -6*n**2 - n + 10. Let a be f(0). Solve 2*x = -4*c - a, c + 4*c + 14 = -4*x for c.
-2
Let w(l) = -14*l + 50. Let g be w(3). Solve -s - 3 = 4*u, 0 = 3*s - g*s - 2*u + 3 for s.
1
Let v(d) be the third derivative of d**4/12 - d**3/2 + 5*d**2. Let g be v(3). Solve 4*w - 2 + 6 = 2*s, -3*w - g = -3*s for w.
-1
Let f be (9 + 1)/((1 - 6) + 4). Suppose -t = 5*q - 9, -t = -2*t - 4*q + 6. Let k = t - f. Solve -h = 2*v + k, h - 10 = v + 4*v for v.
-2
Let p = -399 - -399. Solve -14 = 5*w - v, p - 5 = 5*v for w.
-3
Let t = 70 + -60. Solve -t = -5*n, 3*b + 0 = -n - 13 for b.
-5
Let u(p) = p**3 + 25*p**2 - p - 18. Let h be u(-25). Solve -2*a - h = -3*a + 2*i, -4*a - 4*i - 20 = 0 for a.
-1
Let h be (-1)/(1/16*-1). Let p = h - 14. Solve -2*s - r - 5 = -2, p*s + 4*r + 6 = 0 for s.
-1
Let v = 61 - 59. Solve 14 = -5*m + v*r, -3*m = m + 4*r for m.
-2
Let b(y) be the second derivative of -y**3/6 + 4*y**2 - 7*y. Let r be b(6). Solve 4*j - 3 = r*w - 1, -3*j = 3*w - 6 for j.
1
Suppose 480*d - 477*d = 12. Solve 0 = -3*s - 0*c - 4*c - 2, -d*c - 6 = 5*s for s.
-2
Suppose -25 = -15*w + 35. Solve -10*p + 2*b = -12*p - w, -3*p = 5*b + 2 for p.
-4
Let q = 243 + -374. Let n = -128 - q. Solve 3*y = -n*b, -5*y - 2 = -b - 14 for b.
-2
Suppose 2*s = -f - 0*s + 3, -f + 3*s = -3. Suppose 4*v - 4 = -4*d, 3*v = 2*v - f*d - 3. Solve -4*g = 12, v*t + g = 11 + 1 for t.
5
Suppose 3*q = 3, -4*s + q = -0*q + 85. Let n be -3*(-3 + s/(-9)). Suppose -i + 2 = 2*f, -5*i = 2 + 8. Solve l + f*t = -1 - n, 2*t - 1 = 3*l for l.
-1
Let s(c) = 3*c**2 + 116*c + 80. Let m be s(-38). Solve -n + 11 = 2*b, -m*b + 0*n + 18 = -2*n for b.
5
Let i = 1049 + -1045. Solve 5*c + i*h + 8 = 26, 3*c = -3*h + 12 for c.
2
Let h(u) = -u**2 + u + 4. Let t be h(4). Let r be (-1)/(-4) + 58/t. Let c = 13 + r. Solve -f - i - c = 2*i, -4*i = 8 for f.
0
Let x(f) = f**2 + 25*f + 157. Let t be x(-13). Solve 3*o - r = -t, 2*o + 5*r = -10 - 2 for o.
-1
Let l = -2 + 1. Let z = l - -1. Suppose z = b - 3*b + 8. Solve 2*t = -b*o - 8, 3*o - 6*o - 2*t = 4 for o.
-4
Let z = -37 + 42. Suppose -142 = -f - 4*f + 4*j, -10 = -z*j. Solve 0 = 2*l - 7*l + 3*r - f, r = -5*l - 10 for l.
-3
Suppose -5*x = v - 0*v - 8, -v - 4 = -x. Let f be 17 + v + 2 + -1. Suppose 0 = -3*s + f - 4. Solve a + 4 = -2*q + q, -s*a = -4 for q.
-5
Suppose -5*z + 3*l = 366, -5*z - 6*l = -11*l + 370. Let i = -71 - z. Solve 3 = -5*c - 4*k + i, 3*c - 5*k = -16 for c.
-2
Let n = -29 + 6. Let a = -22 - n. Solve m - a = 5*v, 0 = 2*m + v + 3*v + 12 for m.
-4
Let f(n) = -n**3 - n. Let r be f(-1). Let b = 72 + -69. Solve 3*v = b*w - 0 - 3, -r*w - 2 = -4*v for w.
3
Suppose 0 = y - 2. Suppose -n = -4*g - 2*n + 13, 0 = -2*g - y*n + 14. Let k be 4 - (0/(-1))/g. Solve 2*d = -2, 2*h = 2*d + 2 + k for h.
2
Let f = 63 + -63. Let y(s) = -s**3 - 2*s**2 + 2*s. Let o be y(f). Solve 0 = -5*l + p + 7 - 31, l - 5*p = o for l.
-5
Let q = 7 - -14. Let v(j) = 9*j - 16. Let p be v(2). Suppose -p*d + d = -5*b + q, -12 = 2*d - 4*b. Solve -2*m = -4*f - 3*m - 16, 0 = -f - d*m + 11 for f.
-5
Let v = -882 - -882. Solve 2*o = -2*c, 5*o - 7*o + 3*c - 25 = v for o.
-5
Let m = 1207 + -1203. Solve -5 = 5*o + 5*z, -m*z = -4*o - 0*z - 4 for o.
-1
Let t = -800 - -804. Solve -3*m - 6*b - 8 = -7*b, 0 = t*m - 2*b + 10 for m.
-3
Let t(i) = 7*i + 27. Let k be t(-3). Let b be (-1 - 0) + (-4)/((-8)/k). Solve n - 4*n + q + 10 = 0, -b*n - 4*q + 16 = 0 for n.
4
Let n be 12/12*(3 + 1). Let k be (-54)/n*(-32)/24. Solve 2*s - 16 = -4*w, -2*s - 2*w - 3*w + k = 0 for s.
4
Let l = -241 + 245. Solve -l = -3*q + 2*k - 1, 5*k = 3*q - 12 for q.
-1
Let n(q) = -q**2 + 7*q + 4. Let l be n(7). Let r(u) = -u**3 + u**2 + 15*u - 7. Let v be r(4). Solve w + l*i = 21, -w - i = -v*w - 1 for w.
1
Let d(x) = 6*x - 6. Let y be d(1). Solve -5*p = 3*b - 3, -5*b - 8 = 4*p - y*p for b.
-4
Suppose 17*b - 15*b = -18. Let g(u) = -2*u**2 + 4*u + 3. Let v be g(-2). Let t = b - v. Solve 20 = -n - 3*y - 0, t*n + y = -25 for n.
-5
Let m(s) = s**2 + 3*s - 38. Let z be m(5). Solve -5*k - 6 + 46 = -5*h, -h = z*k - 1 for h.
-5
Suppose -4*q = -7*q + 63. Let z = q + -7. Let h = -10 + z. Solve -4*x = -h*b, -4*x - b - b = -12 for x.
2
Let l = -211 + 215. Solve 5*o - l*g = -2*g - 31, 3 = g for o.
-5
Suppose 15 = 3*h - 39. Suppose -2*y - h = -5*k, -2 = -0*y - 2*y. Suppose z + 9 = 5*u, -4*u - 1 + 7 = -2*z. Solve -4*t - 5*f = -3 - z, 4*t = 2*f + k for t.
1
Suppose 5*g = -3*c + 92, -c + 34 = 5*g - 50. Let s = -9 + 11. Suppose -s*d + 12 = 2*d. Solve -d*o + 6 + 3 = r, 4*o - g = 0 for r.
-3
Let m(a) = -13*a - 76. Let p be m(-6). Solve -5*h = -p*v - 3*v - 40, -v = -5*h + 20 for v.
-5
Let u = -247 + 251. Suppose 63 + 72 = -3*j. Let n be 10/j - 4/(-18). Solve n*s - u*w = 4*s, 3*w - 4 = -2*s for s.
-4
Suppose 5*z - 27 - 18 = 0. Let c(h) = h - 9. Let v be c(z). Solve -5*t + 4 = l, -l - 2*t + 4 = -v*t for l.
4
Let r(c) = -c - 24. Let i be r(-26). Solve -4*j + 3*w + 3 = 0, -w = -i*j + 2*w - 3 for j.
3
Suppose -73*y + 70*y + 12 = 0. Suppose 4*t - t - 5 = -y | {
"pile_set_name": "DM Mathematics"
} |
-73 + -14?
-87
In base 15, what is 5 + 16?
1b
In base 4, what is 22 + 3012?
3100
In base 15, what is 172 - 4?
16d
In base 7, what is -1 - -43?
42
In base 16, what is -1 - 3f?
-40
In base 10, what is 2 + 423?
425
In base 6, what is -34000 - 0?
-34000
In base 13, what is 16a + -26?
144
In base 15, what is -5 - -22?
1c
In base 7, what is -32 - 0?
-32
In base 2, what is -10 - -101001?
100111
In base 14, what is 2 - -26?
28
In base 8, what is -7170 + -4?
-7174
In base 5, what is -13301 - 4?
-13310
In base 13, what is 3 - 670?
-66a
In base 3, what is -2 - -11220?
11211
In base 4, what is 22 + -32?
-10
In base 2, what is -101 + 1111?
1010
In base 14, what is 0 - -4?
4
In base 3, what is 2 + -1000?
-221
In base 9, what is 4 + 47?
52
In base 3, what is 12 + 1221?
2010
In base 7, what is -55 + -14?
-102
In base 2, what is -1 + 111111?
111110
In base 5, what is 30 + -1?
24
In base 8, what is 37 - -5?
44
In base 4, what is 21 + 2133?
2220
In base 16, what is -2 + -2ea?
-2ec
In base 8, what is 600 + -10?
570
In base 12, what is -1 - -50?
4b
In base 6, what is 0 + 255?
255
In base 10, what is 577 + 5?
582
In base 16, what is -55 + -8?
-5d
In base 5, what is -422 - 2?
-424
In base 9, what is 65 - -40?
115
In base 9, what is 4 + -118?
-114
In base 15, what is -cdc - 1?
-cdd
In base 12, what is -10 + 31?
21
In base 8, what is -236 + 75?
-141
In base 5, what is -1104234 - 2?
-1104241
In base 11, what is -442 - -2?
-440
In base 5, what is 1 + 2423?
2424
In base 2, what is 1011011 + 1111100?
11010111
In base 9, what is -381 + 0?
-381
In base 3, what is 21 - 122?
-101
In base 4, what is -11 - -1110?
1033
In base 11, what is -2 - -9?
7
In base 7, what is -24 - -23?
-1
In base 14, what is 49 + 1c?
67
In base 14, what is -26d - -3?
-26a
In base 6, what is -3311 - 1?
-3312
In base 3, what is 11 + 10212?
11000
In base 3, what is -201211 + -1?
-201212
In base 7, what is 145 - 1056?
-611
In base 13, what is 93 + -2?
91
In base 7, what is -113 + 122?
6
In base 3, what is 2212 + 10?
2222
In base 12, what is 1b1 - 5?
1a8
In base 16, what is -3 - ec?
-ef
In base 8, what is -1 + 15?
14
In base 11, what is 5 + 115?
11a
In base 8, what is -344 - 4?
-350
In base 10, what is -2 + 16?
14
In base 12, what is -16 - -30?
16
In base 8, what is -520 + -7?
-527
In base 10, what is -94 - 1?
-95
In base 10, what is 65 - 11?
54
In base 11, what is -2a + -8?
-37
In base 7, what is 21313 - 0?
21313
In base 16, what is 3bd + -2?
3bb
In base 11, what is -149 + 5?
-144
In base 11, what is -133 - -5?
-129
In base 5, what is -111 + 20?
-41
In base 7, what is -5 + -263?
-301
In base 16, what is 0 - -9a8?
9a8
In base 13, what is 6 + 3?
9
In base 4, what is 30312 + -1?
30311
In base 16, what is 43 + 0?
43
In base 14, what is -11 - -122?
111
In base 7, what is -3 + 25?
22
In base 8, what is 26 + -213?
-165
In base 16, what is -b + 37b?
370
In base 4, what is 333213 + 0?
333213
In base 7, what is -2 - -1220?
1215
In base 7, what is 10 - -1263?
1303
In base 9, what is 3 + -15?
-12
In base 11, what is -5 + -465?
-46a
In base 2, what is 110010011 - -10?
110010101
In base 14, what is -2 - -56?
54
In base 8, what is 130 - -10?
140
In base 15, what is -1 - -59d?
59c
In base 15, what is -5 - -6e2?
6dc
In base 15, what is 8 - -ca?
d3
In base 8, what is -5653 - 4?
-5657
In base 2, what is -110010101 - -11?
-110010010
In base 11, what is 33 + -5?
29
In base 2, what is -101 + -10001?
-10110
In base 8, what is -7 - 1622?
-1631
In base 4, what is 10 - -102?
112
In base 9, what is -3461 - -4?
-3456
In base 10, what is 2 - 194?
-192
In base 10, what is 3 - 51?
-48
In base 15, what is 0 + -b5?
-b5
In base 2, what is -110010 + -101?
-110111
In base 14, what is d1 - 25?
aa
In base 13, what is 4 + 60?
64
In base 8, what is 77 + -3?
74
In base 13, what is 1 - -88?
89
In base 5, what is -24311 - 1?
-24312
In base 12, what is 9 + 2?
b
In base 8, what is -13 - 33?
-46
In base 5, what is -4 - 214?
-223
In base 3, what is -12 - 12021?
-12110
In base 16, what is -3 + 2?
-1
In base 6, what is 511 - 24?
443
In base 16, what is 3 - 3?
0
In base 7, what is 15 + -5?
10
In base 7, what is 1 + 56?
60
In base 2, what is 110000110 - 101?
110000001
In base 4, what is 2020 - -332?
3012
In base 13, what is -2 - -16?
14
In base 7, what is 3150 - -11?
3161
In base 7, what is -21 + 5?
-13
In base 10, what is 12 - -84?
96
In base 4, what is 1103 - -1?
1110
In base 14, what is -c - -c?
0
In base 3, what is 21 - -2?
100
In base 6, what is -12 - -1124?
1112
In base 12, what is -2 - 4842?
-4844
In base 14, what is 0 + -357?
-357
In base 6, what is 52 + 110?
202
In base 3, what is -100212 - -100?
-100112
In base 14, what is 98 + -3?
95
In base 2, what is 10 - 1000101?
-1000011
In base 3, what is 12 - 121012?
-121000
In base 5, what is 12 + -24?
-12
In base 5, what is -13112 + -3?
-13120
In base 8, what is 2 - -43?
45
In base 10, what is -17 + -5?
-22
In base 13, what is -916 + -9?
-922
In base 10, what is -8 + 49?
41
In base 2, what is -1010 - -101?
-101
In base 8, what is 2116 - -4?
2122
In base 2, what is -101 + -100010011?
-100011000
In base 6, what is -2 + -231?
-233
In base 3, what is 1 - 1112012?
-1112011
In base 14, what is -1350c + 3?
-13509
In base 16, what is 1 - -4?
5
In base 12, what is 317 - -2?
319
In base 5, what is 4 + -24104?
-24100
In base 9, what is 20 - 30?
-10
In base 12, what is -3 + 4?
1
In base 4, what is 0 + 222330?
222330
In base 9, what is -753 + -3?
-756
In base 6, what is 3 + 124?
131
In base 7, what is 24 + 101?
125
In base 15, what is -d6 - 12?
-e8
In base 5, what is 10 + 10?
20
In base 5, what is -111 + 10?
-101
In base 16, what is -1 - 30?
-31
In base 5, what is 2302 + 0?
2302
In base 3, what is 2220 + -10?
2210
In base 12, what is 671 + 1?
672
In base 5, what is 1 + -2033?
-2032
In base 7, what is -10462 + 6?
-10453
In base 12, what is 28 + -97?
-6b
In base 6, what is -253 + -4?
-301
In base 12, what is -134 + b5?
-3b
In base 7, what is -13512 - 1?
-13513
In base 7, what is 250 - 0?
250
In base 14, what is -1 - 14c?
-14d
In base 2, what is -1010 - 100100?
-101110
In base 5, what is -2 + 3102?
3100
In base 11, what is 20 + -85?
-65
In base 2, what is 111110 + -11?
111011
In base 4, what is 1302 - 12?
1230
In base 15, what is -246 - 0?
-246
In base 12, what is 897 - 3?
894
In base 4, what is 11 - 21?
-10
In base 5, what is 2 + 202?
204
In base 5, what is -1 - -243431?
243430
In base 14, what is -5 + 12d?
128
In base 9, what is -23345 + 1?
-23344
In base 11, what is 45a - 8?
452
In base 13, what is 0 + -2b?
-2b
In base 2, what is 10 + -1001001011?
-1001001001
In base 12, what is 88 + -29?
5b
In base 14, what is -4a - 1?
-4b
In base 16, what is 4 - -3?
7
In base 16, what is -f4a + 5?
-f45
In base 2, what is -110 + 100110?
100000
In base 12, what is 3a + -5?
35
In base 12, what is 3217 + -5?
3212
In base 10, what is -2 + 81?
79
In base 13, what is 1a - -34?
51
In base 14, what is 1 - 46?
-45
In base 10, what is 2 - -503?
505
In base 4, what is -33 + 30?
-3
In base 2, what is -1101011 - -1000100?
-100111
In base 2, what is -1000101 + 11?
-1000010
In base 16, what is -2 - -32?
30
In base 9, what is 140 + 13?
153
In base 14, what is -525d - -3?
-525a
In base 10, what is -2689 - -2?
-2687
In base 14, what is -2 + 99?
97
In base 11, what is 546 + -2?
544
In base 15, what is 83 - -58?
db
In base 3, what is 0 - 111111?
-111111
In base 16, what is -16d + 7?
-166
In base 5, what is 2242 + 10?
2302
In base 15, what is 5 - 2243?
-223d
In base 2, what is -1000101 + 110001?
-10100
In base 14, what is -4ac - 1?
-4ad
In base 16, what is -223a - 5?
-223f
In base 9, what is -33 - 180?
-223
In base 4, what is -2 + 112?
110
In base 6, what is -35 + 3054?
3015
In base 14, what is 2 - 17a?
-178
In base 2, what is 1 - 1010000111?
-1010000110
In base 15, what is 2 + -143?
-141
In base 6, what is 424 - 20?
404
In base 6, what is 2 + -45?
-43
In base 6, what is -430 - -11?
-415
In base 10, what is 24510 - 2?
24508
In base 12, what is 99 - 1?
98
In base 11, what is -4 + 41?
38
In base 6, what is 10 + -112?
-102
In base 12, what is -466 + 0?
-466
In base 6, what is -100 - 2?
-102
In base 2, what is -1 + 101001000011?
101001000010
In base 7, what is 235 - 10?
225
In base 4, what is 133212 + 0?
133212
In base 2, what is -10111001010 - 1?
-10 | {
"pile_set_name": "DM Mathematics"
} |
ative of 23*m**4*w - 215087*m**3*w - 7*m*w + 3*m - 387*w - 47 wrt m.
276*m**2*w - 1290522*m*w
What is the second derivative of 12*g**4 + 82854*g**2 + 2310019*g wrt g?
144*g**2 + 165708
What is the derivative of 3*a*l*y**2 - 103*a*l - 7*a*y - 2*a - 270627*l*y**2 - 2*y + 22417 wrt y?
6*a*l*y - 7*a - 541254*l*y - 2
What is the second derivative of -2363450*u**2 - 6824721*u + 2?
-4726900
Find the third derivative of -66317878*k**3 + 73467381*k**2.
-397907268
Find the first derivative of 98692*i**2 + 2*i + 5887325.
197384*i + 2
What is the derivative of -7672*k**2*x - 42564980*k**2 + 35*k*x - 6*x wrt x?
-7672*k**2 + 35*k - 6
What is the third derivative of -2*v**4 - 30559468*v**3 + 369355*v**2 + v + 112?
-48*v - 183356808
What is the second derivative of 154*m**2*r**2 - 6*m**2*r - 147*m**2 - 5*m*r - 470713*r**2 + 404 wrt r?
308*m**2 - 941426
Find the third derivative of -2509686*j*n**3*z**2 + 10*j*n**3 + j*n**2*z**2 + 3676*j*n*z**2 - 360*j*n*z + 2*n**2*z**2 wrt n.
-15058116*j*z**2 + 60*j
What is the second derivative of 226190277*q**5 + 315702543*q?
4523805540*q**3
What is the first derivative of 12905761*f*m + 2*f - 146148129*m wrt f?
12905761*m + 2
What is the derivative of -73959*g + 8860907?
-73959
What is the third derivative of -232668*c**3*p*x**2 - 185*c**3*p + 86749*c**2 - 163*c*p*x**2 wrt c?
-1396008*p*x**2 - 1110*p
Find the second derivative of -3668626*o**5 - 1435*o - 109.
-73372520*o**3
Find the first derivative of -2*d*t**2 + 2*d*t - 30294100*d - 15149391*t**2 - 3 wrt t.
-4*d*t + 2*d - 30298782*t
What is the second derivative of 141*g**2*k**3 - 163*g**2*k*s - 10620009*g**2*s**2 + 36*g**2*s - 12*g*k**3*s**2 + k**3*s wrt s?
-21240018*g**2 - 24*g*k**3
Differentiate 3*i**3 - 1048407*i**2 + 10626641 with respect to i.
9*i**2 - 2096814*i
Find the third derivative of -730309213*c**5 + 3224*c**2 + 43*c - 182 wrt c.
-43818552780*c**2
Find the second derivative of 22*j**5 + 24685422*j**4 - 3019597*j - 140.
440*j**3 + 296225064*j**2
What is the third derivative of -1277845*f*u**4 + f*u**3 - 94*f*u**2 + 15*f*u - 14*f + 36*u**4 + 2*u + 24 wrt u?
-30668280*f*u + 6*f + 864*u
Find the third derivative of -1577*f**2*t**3 + 3*f**2 + 41*f*t**3 - 13501*f*t**2 + 140*t**3 + 278*t**2 wrt t.
-9462*f**2 + 246*f + 840
Find the third derivative of 43797778*m**6 + 986088*m**2 - 2*m - 3.
5255733360*m**3
Find the second derivative of 8*l**2*n**2 - 718590*l**2*n + 140395*l*n**2 - 3*n**3 + 2*n**2 - 2*n wrt n.
16*l**2 + 280790*l - 18*n + 4
Differentiate -3285448*s**2 + 8264987 with respect to s.
-6570896*s
What is the third derivative of -14751303*h**3*x**2 - 9*h**3 + 185096156*h**2*x**2 wrt h?
-88507818*x**2 - 54
Find the second derivative of 70288866*j**2 - 118253*j - 106 wrt j.
140577732
What is the third derivative of -17457137*u**3 + 16645088*u**2?
-104742822
Differentiate 728*h**4 - 26*h**3 - 279*h**2 - 35799627 wrt h.
2912*h**3 - 78*h**2 - 558*h
Find the second derivative of 2719*g**3*i - 12040*g**3 - g**2 + 650743*g*i - 445*g wrt g.
16314*g*i - 72240*g - 2
What is the first derivative of -128*x**2 + 682868*x + 113999781 wrt x?
-256*x + 682868
What is the derivative of -22079*c**2*u + 2*c**2 + 428*c*u + 456773159*u wrt c?
-44158*c*u + 4*c + 428*u
What is the first derivative of 18*h**4 + 10*h**3*p + 2868*h**2*p - 34107*p - 69 wrt h?
72*h**3 + 30*h**2*p + 5736*h*p
Find the first derivative of 142445897*m - 60952401 wrt m.
142445897
Differentiate 9083211*c*p - 8531319*c with respect to p.
9083211*c
What is the third derivative of -105*k**5 + 3*k**4 - 2375*k**3 + 1529571*k**2 wrt k?
-6300*k**2 + 72*k - 14250
Find the third derivative of -1411671221*s**6 - 33*s**2 + 1337183.
-169400546520*s**3
What is the second derivative of -4188241*c**5 + 2893*c + 1564?
-83764820*c**3
What is the third derivative of 1939450*g**4*h + 14620*g**2 - 2*g*h - 65*g - 2*h wrt g?
46546800*g*h
What is the first derivative of -63823399*s - 9645127 wrt s?
-63823399
What is the second derivative of 139*g*k**3*y + 3143*g*k**2*y**2 - 2*g*y**2 - 16*g - 2183*k**3*y**2 - 2912*k**3*y wrt y?
6286*g*k**2 - 4*g - 4366*k**3
Differentiate 168486*o*x**3 - 2*o*x + 64735722*o - 350*x wrt x.
505458*o*x**2 - 2*o - 350
Find the third derivative of 591812*b**2*o**3 - b**2*o**2 + 515*b**2 + 2*b*o**3 + 13*o**3 - 1259 wrt o.
3550872*b**2 + 12*b + 78
What is the third derivative of 62961073*c*o**3*u**3*x - 5*c*o**2*u**3 - 321*c*o**2*u - 3734*c*o*u**3*x + 2*c*o*x wrt o?
377766438*c*u**3*x
What is the third derivative of -209632067*d**3 + 11496*d**2 + 4*d + 366?
-1257792402
Find the second derivative of 1148663*o**3*s**2 + 2*o**3 - o**2*s**2 - 7957*o**2*s - 2972*o*s - 3*s**2 wrt s.
2297326*o**3 - 2*o**2 - 6
Differentiate -2815794*c**4 + 17693609 with respect to c.
-11263176*c**3
What is the second derivative of 17*s**3 - 15358*s**2 - 9904283*s wrt s?
102*s - 30716
Find the second derivative of 19371373*w**2*z**3 - 13*w*z**3 - 110912*w*z**2 - z**3 + 2*z wrt w.
38742746*z**3
Differentiate 13*l**4 + 39664215*l**3 + 87331904 with respect to l.
52*l**3 + 118992645*l**2
Differentiate -95192*v**2 + 1645*v + 291245543 wrt v.
-190384*v + 1645
Find the second derivative of 15917360*n*p**2*u**2 - n*p**2*u + 13*n*p*u + n*p - 5*n*u**2 + n*u - 1097*p**2*u - 345*p**2 wrt u.
31834720*n*p**2 - 10*n
Find the second derivative of 2184562*s**3 + 2*s**2 - 23593334*s.
13107372*s + 4
What is the derivative of 424219692*o - 192637890?
424219692
Find the third derivative of c**4 - 190017739*c**3 + 5324*c**2 - 1850 wrt c.
24*c - 1140106434
What is the second derivative of -8332698*z**3 - 2*z**2 + 10*z + 73392?
-49996188*z - 4
Find the first derivative of 11*t**2*z + 9786788*t**2 - 4348*t*z - 14*t + 3*z wrt z.
11*t**2 - 4348*t + 3
What is the derivative of -2771*w**2 + 5940*w + 150567980 wrt w?
-5542*w + 5940
Find the third derivative of c**2*d**3 + 181*c**2*d**2 + 127*c**2 - 2*c*d**3 - 36*c*d**2 + 6192870*d**3 wrt d.
6*c**2 - 12*c + 37157220
Differentiate 5*o**2*s - 6769*o**2 - 8277*o*s - 41635*o + 144*s wrt s.
5*o**2 - 8277*o + 144
Differentiate 367444574*j**3*k - 271881781*j**3 with respect to k.
367444574*j**3
Find the second derivative of -15561403*d**2*v**2 + 2*d*v**2 - 2925*d*v + 476*v**2 wrt d.
-31122806*v**2
Find the second derivative of -5169741*h**4 - 6*h**3 - 2*h + 37639907.
-62036892*h**2 - 36*h
Find the third derivative of 22655331*r**3*x**3 + 2*r**2*x**3 - 50*r**2*x**2 + 2019*r*x + 1 wrt r.
135931986*x**3
What is the second derivative of -26677*h**2*u**3 - 16*h**2*u - 3*h**2 + 7*h*u**3 - h + 100*u**2 + 617*u wrt u?
-160062*h**2*u + 42*h*u + 200
Differentiate 106793178*c*u**3 + 12172*u**3 + 59*u - 2 with respect to c.
106793178*u**3
Find the first derivative of -93154202*s - 218934778 wrt s.
-93154202
Find the first derivative of -4*j**2 + 286013*j - 501588.
-8*j + 286013
What is the first derivative of -296942785*x**3 + 230363294 wrt x?
-890828355*x**2
What is the second derivative of -523902102*g**3*n**2 - g**3*n - 317994*g**3 - 2*g*n + 2*n - 2 wrt n?
-1047804204*g**3
Find the third derivative of 4020061*r**3 + 531*r**2 - 1961*r + 9 wrt r.
24120366
Differentiate 173*i**3 + 2600*i**2 - 5*i - 62510074 wrt i.
519*i**2 + 5200*i - 5
Differentiate 80926316*d + 13300841 with respect to d.
80926316
Find the third derivative of 20368*c**2*p**3 + 57*c**2*p**2 + 6*c**2*p + 11*c*p**3 + 2*c*p**2 - 2*p**3 - 4248*p wrt p.
122208*c**2 + 66*c - 12
Find the second derivative of 125958553*d**2 - 17267546*d wrt d.
251917106
What is the second derivative of 199*i**2*k**3 - 1016*i**2*k**2 - 72*i**2 - 2*i*k - 33296*k - 2 wrt k?
1194*i**2*k - 2032*i**2
What is the derivative of -711944528*d - 551284599?
-711944528
Find the second derivative of -3532522*a**2*b + 22*a*b - 8*a + b + 1356 wrt a.
-7065044*b
What is the third derivative of -11*k**4 + 768325*k**3 - 35*k**2 + k - 409?
-264*k + 4609950
What is the derivative of -1243963075*f**3 + 1075334571 wrt f?
-3731889225*f**2
What is the second derivative of 47280319*c*r**2 + 2168043*c*r + 3*c wrt r?
94560638*c
Differentiate 267*h*y**3 - 3*h*y**2 + 8*h*y - 28*h - 393335*y**3 - 2*y with respect to h.
267*y**3 - 3*y**2 + 8*y - 28
What is the second derivative of 1222*s**5*t + 176*s**3*t**2 - 805*s*t**2 - 2*s - 26*t**2 + 1 wrt s?
24440*s**3*t + 1056*s*t**2
Find the third derivative of -924152*d**6 - 2 | {
"pile_set_name": "DM Mathematics"
} |
of picking 1 g and 1 x when two letters picked without replacement from {x: 1, g: 1, c: 1}.
1/3
Four letters picked without replacement from {l: 2, j: 8, t: 1, d: 4}. What is prob of picking 1 t, 2 l, and 1 d?
4/1365
Three letters picked without replacement from {i: 5, j: 1, z: 7, x: 5}. What is prob of picking 1 j and 2 x?
5/408
Three letters picked without replacement from {i: 3, f: 1, s: 5, a: 5, b: 2}. Give prob of picking 1 f and 2 s.
1/56
Calculate prob of picking 1 s and 3 a when four letters picked without replacement from aaasaaaaaas.
28/55
Three letters picked without replacement from qpqp. What is prob of picking 1 p and 2 q?
1/2
Two letters picked without replacement from {e: 2, r: 2, v: 1, b: 4, a: 9, m: 2}. Give prob of picking 1 e and 1 m.
2/95
What is prob of picking 1 h and 2 n when three letters picked without replacement from {n: 14, h: 4}?
91/204
Three letters picked without replacement from {y: 9, q: 4, o: 1, r: 4, b: 2}. Give prob of picking 2 q and 1 r.
2/95
What is prob of picking 1 t, 2 m, and 1 v when four letters picked without replacement from {s: 2, j: 1, v: 1, m: 2, t: 1}?
1/35
Calculate prob of picking 2 g and 1 m when three letters picked without replacement from gggmgmgmmgmg.
21/44
Two letters picked without replacement from {x: 1, t: 6, v: 1, l: 3, p: 3}. Give prob of picking 1 v and 1 t.
6/91
Two letters picked without replacement from zgggznglzggggnngggz. Give prob of picking 1 l and 1 z.
4/171
What is prob of picking 2 e and 1 s when three letters picked without replacement from efeeeffeeeesees?
18/91
Two letters picked without replacement from kzztjxt. Give prob of picking 1 k and 1 j.
1/21
Two letters picked without replacement from {h: 1, a: 1, v: 1, f: 1, w: 1}. What is prob of picking 1 h and 1 f?
1/10
What is prob of picking 4 d when four letters picked without replacement from {m: 10, d: 8, u: 1}?
35/1938
Four letters picked without replacement from vwvwvwuuwvw. Give prob of picking 3 w and 1 u.
2/33
What is prob of picking 1 z and 1 n when two letters picked without replacement from wpwzcqn?
1/21
Four letters picked without replacement from mvvvmbmmmmbbbmebmbm. Give prob of picking 1 e and 3 v.
1/3876
Four letters picked without replacement from zoiplpfppzozlfzpzflf. What is prob of picking 2 o, 1 f, and 1 i?
4/4845
Three letters picked without replacement from {n: 8, i: 1, t: 5, j: 5, g: 1}. Give prob of picking 1 i and 2 j.
1/114
Calculate prob of picking 2 i and 1 n when three letters picked without replacement from {n: 5, i: 9, t: 2}.
9/28
Three letters picked without replacement from ddggggggddggdgdddd. Give prob of picking 1 d and 2 g.
27/68
Four letters picked without replacement from {w: 8, f: 5, p: 4, k: 2}. What is prob of picking 1 p, 1 f, and 2 k?
5/969
Two letters picked without replacement from tsttytssytsnyyft. What is prob of picking 1 n and 1 t?
1/20
Calculate prob of picking 2 s when two letters picked without replacement from {h: 11, s: 3}.
3/91
Three letters picked without replacement from {p: 1, h: 1, q: 2, e: 1}. Give prob of picking 2 q and 1 e.
1/10
Calculate prob of picking 2 p when two letters picked without replacement from {p: 11, u: 1}.
5/6
Four letters picked without replacement from lolloo. Give prob of picking 2 o and 2 l.
3/5
What is prob of picking 2 o and 1 a when three letters picked without replacement from {o: 2, j: 1, v: 1, a: 1}?
1/10
Three letters picked without replacement from ssqsuqssuuuq. Give prob of picking 2 s and 1 u.
2/11
What is prob of picking 2 y and 1 c when three letters picked without replacement from cyymcyy?
12/35
What is prob of picking 1 a, 1 h, and 1 j when three letters picked without replacement from hjxxkajjhjjxj?
6/143
Three letters picked without replacement from {d: 1, z: 1, b: 1, u: 1, y: 1}. Give prob of picking 1 b, 1 z, and 1 u.
1/10
Two letters picked without replacement from ojyjjjyot. What is prob of picking 2 j?
1/6
Three letters picked without replacement from fnnooffnnsnfn. Give prob of picking 2 n and 1 f.
30/143
Calculate prob of picking 1 z, 1 i, and 1 k when three letters picked without replacement from zbzvizbbvgzzzik.
12/455
Four letters picked without replacement from {f: 6, y: 4}. Give prob of picking 4 f.
1/14
What is prob of picking 1 u and 2 z when three letters picked without replacement from {k: 5, z: 3, u: 3}?
3/55
Two letters picked without replacement from gajjltot. Give prob of picking 1 j and 1 t.
1/7
What is prob of picking 3 b when three letters picked without replacement from {g: 3, v: 6, b: 4}?
2/143
Calculate prob of picking 2 l and 2 r when four letters picked without replacement from llrlrrr.
18/35
Calculate prob of picking 1 r and 1 j when two letters picked without replacement from nomrrkkjnmko.
1/33
What is prob of picking 1 e and 1 x when two letters picked without replacement from {x: 5, e: 11}?
11/24
Two letters picked without replacement from {b: 1, m: 1, r: 1, y: 1, p: 1, c: 2}. Give prob of picking 1 p and 1 y.
1/21
Four letters picked without replacement from jjjjjcjqkjqjjj. What is prob of picking 1 q, 1 c, and 2 j?
90/1001
Three letters picked without replacement from vzvvvz. Give prob of picking 1 v and 2 z.
1/5
What is prob of picking 1 y and 1 e when two letters picked without replacement from {y: 3, z: 2, i: 5, e: 1, p: 1}?
1/22
What is prob of picking 1 p and 2 i when three letters picked without replacement from {i: 7, p: 2}?
1/2
Two letters picked without replacement from bbbbbb. What is prob of picking 2 b?
1
What is prob of picking 1 d and 2 g when three letters picked without replacement from xcrcxgrxxgdxccngxncx?
1/380
Calculate prob of picking 2 o when two letters picked without replacement from {w: 2, o: 2, x: 1, j: 1, e: 2, n: 1}.
1/36
Four letters picked without replacement from {d: 1, g: 4, q: 2, i: 4, z: 5}. Give prob of picking 2 z and 2 g.
3/91
Calculate prob of picking 1 m and 2 u when three letters picked without replacement from ummuuum.
18/35
Two letters picked without replacement from ieemieineimmnem. What is prob of picking 1 n and 1 m?
8/105
Two letters picked without replacement from {r: 4, y: 3}. What is prob of picking 1 y and 1 r?
4/7
Two letters picked without replacement from {y: 1, q: 4, t: 1, d: 5, g: 3}. What is prob of picking 1 y and 1 d?
5/91
What is prob of picking 1 r and 1 o when two letters picked without replacement from wwffofwowwowwfqowrfw?
2/95
Three letters picked without replacement from njfjqjfifjqfqjfq. Give prob of picking 1 i, 1 q, and 1 n.
1/140
Two letters picked without replacement from {k: 1, o: 8, y: 1, s: 1, t: 1, m: 4}. Give prob of picking 1 y and 1 s.
1/120
Calculate prob of picking 1 l and 1 h when two letters picked without replacement from cccgglgcghg.
1/55
What is prob of picking 1 e and 2 c when three letters picked without replacement from {e: 2, c: 3}?
3/5
What is prob of picking 2 e when two letters picked without replacement from bbleeblebelb?
1/11
Four letters picked without replacement from ivviiiviviqiiqvviv. Give prob of picking 2 i and 2 q.
1/85
What is prob of picking 2 j when two letters picked without replacement from {z: 1, l: 1, q: 1, n: 2, j: 4, o: 3}?
1/11
Three letters picked without replacement from pzpmszvsw. Give prob of picking 1 v and 2 s.
1/84
What is prob of picking 1 n and 1 o when two letters picked without replacement from {h: 1, y: 1, o: 2, j: 1, d: 3, n: 3}?
6/55
Three letters picked without replacement from pmprvprrvpcccr. What is prob of picking 2 r and 1 c?
9/182
What is prob of picking 2 g when two letters picked without replacement from ggssggqgqqs?
2/11
Four letters picked without replacement from {q: 1, x: 2, h: 2}. Give prob of picking 4 q.
0
Two letters picked without replacement from xxxxxhxxxxb. Give prob of picking 1 x and 1 b.
9/55
Calculate prob of picking 3 y when three letters picked without replacement from ysyllylyysesyyeygysl.
7/95
What is prob of picking 1 p, 1 s, and 1 n when three letters picked without replacement from pnkrsnn?
3/35
Calculate prob of picking 1 o, 1 l, and 1 n when three letters picked without replacement from {o: 1, j: 3, q: 2, n: 4, l: 3, w: 2}.
12/455
Calculate prob of picking 2 d when two letters picked without replacement from {d: 5}.
1
Calculat | {
"pile_set_name": "DM Mathematics"
} |
f w**3/6 + 9*w**2 + 4*w. Determine a(h).
8
Let t(x) = x**2 + 3*x - 4. Suppose -3*j = -2 - 1. Let q be 5/3*(14/14 - 7). Let i be j/3*6*q/4. What is t(i)?
6
Let h = 7 + -2. Suppose 833 = 2*z - h*l, -2*l = 3*z - 4*l - 1277. Let s(y) = -2*y + 429 - z. What is s(3)?
-6
Let o(n) be the second derivative of 1/3*n**4 + 31*n + n**2 - 1 - 1/20*n**5 + 1/2*n**3. Determine o(4).
14
Let v(h) = -2*h + 6. Let x(c) = 24*c**2 - 8*c + 23. Let b(u) = 4*v(u) - x(u). Give b(-1).
-23
Let n(j) = -2*j + 1. Let i be n(-6). Let v(h) = 2*h**3 + 28*h**2 - 68*h - 38. Let r be v(-16). Suppose 39 = -i*k - r. Let d(l) = l**2 + 4*l + 2. Calculate d(k).
7
Let w(l) = 28*l - 118. Let j(g) = 2*g**2 + 157*g - 2480. Let i be j(-92). Calculate w(i).
-6
Let s(t) be the third derivative of t**5/60 - t**4/6 - t**3/2 - 2*t**2. Let i be -5 - (-8)/((-32)/(-300)). Let y = -67 + i. Calculate s(y).
-6
Let u(w) = w**3 + 5*w**2 - 9*w - 41. Suppose 92348*x - 26 = 92364*x + 54. Calculate u(x).
4
Let x(g) = 50 + 35 + 15*g**2 + 49 + 3*g - 142. Determine x(2).
58
Let p = -25 + 29. Suppose 2*q = 3*d + 49, q + q - p*d = 44. Suppose 18 - 2 = -y + 4*i, -5*y - 4*i = q. Let j(f) = -f**2 - 10*f - 7. Determine j(y).
9
Suppose 46 - 325 = -93*g. Let p(j) = 4*j**2 - 7*j - 1. What is p(g)?
14
Suppose n - 5 = -2*q, -88 + 57 = -5*n - 4*q. Let x(g) = -7*g + 11. What is x(n)?
-38
Let h(c) be the third derivative of c**5/20 + 9*c**4/8 + 17*c**3/3 + 2015*c**2. Determine h(-7).
-8
Suppose -s - 4 - 9 = 2*l, 12 = -3*s + 3*l. Let q(i) be the first derivative of -47 - 7/2*i**2 + 4*i - 1/3*i**3. Give q(s).
4
Let r(z) = -23*z - 40. Let g(k) = 12*k + 20. Let d(x) = -11*g(x) - 6*r(x). Let m be d(-3). Let n(l) = -l**2 - l + 1. What is n(m)?
-5
Let y(f) = -f**2 + 13. Let x be y(-4). Let t be ((-24)/9)/4 - 8/(-3). Let r(b) = -2*b**t + 4*b**2 + b + 0*b**2 - 4 + 5. Give r(x).
16
Let v(s) = -s**3 - 24*s**2 - 115*s - 38. Let p be v(-6). Let m(g) be the second derivative of 38*g + 1/2*g**3 - 1/3*g**p - g**2 + 0. What is m(2)?
-12
Let z be -2 + 3 + -3 + 1. Let y(r) = 743*r - 2229*r + 750*r + 745*r. Calculate y(z).
-9
Suppose 4*r - 126 = -3*r. Suppose r*m = 5*m - 65. Let i(g) = g - 5. Give i(m).
-10
Let u(o) be the second derivative of o**4/12 - 4*o**3/3 + 3*o**2/2 + 14*o. Let k(i) = -6*i + 6. Let y be k(-12). Suppose -4*z + y = 9*z. Determine u(z).
-9
Let n(u) = u**3 + 16*u**2 - 33*u + 32. Let z be (5 - ((-702)/65 - -17))/((-2)/(-30)). Determine n(z).
-22
Let z = -22 - -22. Suppose -3*w = -6, 2*x + 6 = 5*w - z*w. Let k(g) = 1 + 3*g - 4*g - x - 6. Give k(-6).
-1
Let o(m) = -7592 + m + 15164 - 7616 - m**3 + 25*m**2. Determine o(25).
-19
Let m(u) = 19 - u**2 + 20 + 14 + 33 - 106 + 11*u. Calculate m(4).
8
Let w(o) = o**3 + 31*o**2 - 6*o - 179. Let m be w(-31). Let h(r) = r**2 - 12*r + 35. Let v be h(m). Let d(f) = f + 26. Give d(v).
26
Let r(f) = 3129*f**2 + 9 - 1559*f**2 + 3*f - 1569*f**2. Let a = 8 + -14. Determine r(a).
27
Let h(i) = i**2 - 12*i + 15. Let k be (17/(136/24))/(6/22). What is h(k)?
4
Let k(g) = -3*g - 2. Let s = -3276 + 3357. Let h(d) = d**3 + 10*d**2 + 11*d + 8. Let f be h(-7). Let j = f - s. Determine k(j).
7
Suppose -2*j + 10 = -5*l, -4*j + 13 + 7 = 4*l. Let p(y) = -4 - y - 21 + 19 + y**3. Give p(l).
-6
Let q = -151 - -152. Let s(i) = 78*i - 3. Determine s(q).
75
Suppose -14*q = -1284 + 178. Suppose 8 = -29*i - q. Let h(g) = -1 + 2 + g + 0. Give h(i).
-2
Suppose 0 = -c - 2*a + 17, 2*c + a = -3*c + 76. Let v(m) be the third derivative of c*m**2 + 0*m**3 + 0 + 0*m + 3/8*m**4. Give v(1).
9
Suppose -2*p - 5*b + 3 = 1, -5*p = -3*b + 88. Let t(x) = x**3 + 15*x**2 + 15*x + 33. What is t(p)?
19
Suppose 2*z = -43 + 55, -w - 4*z + 18 = 0. Let t(v) = v**2 + 9*v + 3. Determine t(w).
-15
Let s be 9/(135/6)*(-50)/5. Let o be -3 + -4 + (-8)/s. Let i(z) = -z**3 - 4*z**2 + 4*z - 2. Calculate i(o).
3
Let r(c) = 3*c**3 - 42*c**2 + 99*c. Let o be r(11). Let m(a) be the first derivative of -a**3/3 - 5*a + 14. What is m(o)?
-5
Let s(k) = 11*k**2 - 5 + 83*k + k**3 + 14*k - 139*k. Give s(3).
-5
Suppose -o = 15 - 22, -32 = -4*x - 4*o. Let v(f) = -f + 3*f + 2 - 4. Calculate v(x).
0
Let q(t) = t + 3. Let m be q(-5). Let d(z) be the second derivative of z**4/12 + z**2/2 + 4*z + 1896. Determine d(m).
5
Let u(w) = 0*w + 3*w + 9*w**2 + 5410939 - w + w**3 - 5410936. Let l be (3/4)/(2/(-24)). Give u(l).
-15
Let a(f) be the first derivative of f**3/3 - 6*f**2 + 31*f - 1151. Calculate a(5).
-4
Let j(p) = p**2 - 7*p + 4. Let v = 362 - 359. Suppose 3*q + c = q + 19, -50 = -5*q - v*c. Calculate j(q).
4
Let m be (-15)/(-20)*(-1240)/186. Let r(q) = -q**2 - 13*q - 7. Give r(m).
33
Let c = -374 - -380. Let n(d) = 25*d + 14. Let h(r) = 18*r + 9. Let y(b) = 7*h(b) - 5*n(b). Give y(c).
-1
Let s(x) be the first derivative of 3*x**2/2 + 33*x - 21. Let r(m) = -40*m**2 + 157*m. Let i be r(4). Calculate s(i).
-3
Suppose -29*f = 7738 - 7767. Let g(c) = 56*c**3 + c**2 + 2*c - 3. Give g(f).
56
Suppose -4*o - 49 = -3*c, 24*o = 28*o + 3*c + 7. Let p(x) = x**2 - 16*x - 169. Give p(o).
-8
Let t(g) be the second derivative of 0 - g**2 - 219*g - 1/6*g**3. What is t(-1)?
-1
Let f(v) = v**2 - 16*v + 22. Suppose 0 = -4*l - k + 39, 7*l - 39 = 2*l + 2*k. Suppose 83 - 218 = -l*o. Give f(o).
7
Let p = -75 + 82. Suppose -p*i + 6 = -57. Let a(c) = -i*c + 6*c**2 + 2*c - 7*c**2 - 5. What is a(-5)?
5
Suppose 0 = 2*t - 0*p + 5*p - 18, 0 = 3*t - 3*p - 48. Let v be (-114)/22 + (-2128)/154 + t. Let z(w) = 2*w - 7. What is z(v)?
-17
Let f = 8293 - 8290. Let g(j) = -j**3 + 7*j**2 + j - 2. What is g(f)?
37
Suppose -3*z + 5*b + 25 = 0, 5*b + 25 = z - 0*b. Suppose -6*k + k - 25 = z. Let u(r) = r**2 + 3*r + 5. Calculate u(k).
15
Suppose 0 = -5*m - 2*g + 13, m + 2*m + 5*g - 4 = 0. Let u(w) be the third derivative of -w**4/24 - w**3/2 + 266*w**2. What is u(m)?
-6
Let d(s) = 4 - 13*s - 25 + 25*s - 13*s. Let l be d(-18). Let v(w) be the second derivative of w**3/6 - 2*w. Determine v(l).
-3
Let z = 2088 - 2088. Let n(a) be the third derivative of -a**5/60 + a**4/12 + a**3 + 5*a**2. Determine n(z).
6
Let b(a) = a**2 + 13*a + 14. Let r be b(-11). Let c(u) = 9*u + 68. Calculate c(r).
-4
Let z = 18 + -11. Let u(h) = -1 + 1 + h**3 + 8 + z*h**2 + 6*h. Calculate u(-6).
8
Let v = -2955 - -2953. Let i(p) = p**3 - p**2 - 2*p - 2. What is i(v)?
-10
Suppose -4*v - 62 = -6*v. Let c(x) = x**2 + 218*x**3 - 217*x**3 + 2 - 29*x + v*x. Determine c(-2).
-6
Let d = 192 - 188. Let j(g) = 26*g - 6*g + 0*g + g**2 - d - g - 9*g. Give j(-10).
-4
Let n = 4680 + -4681. Let o(z) = 56*z. Determine o(n).
-56
Let i be ((-116)/(-290))/(0 - 2/(-50)). Let m be (4 + -9)*4/i. Let t(k) be the first derivative of -2*k**2 - 2*k + 1. What is t(m)?
6
Let n(c) = -c**2 - 4*c. Let i(m) = -m**2 + 7*m - 3. Let f be i(7). Let t be n(f). Let z(o) = o**3 + 7*o + 0*o**3 - 8*o - 4 - 2*o**2. What is z(t)?
2
Let d(h) = 4*h**2 + 8*h + 23. Let i(m) = -m**2 + m + 1. Let f(q) = d(q) + 3*i(q). Calculate f(-5).
-4
Let m(r) = -21*r**3 - 4*r**2 + 20*r**3 - 55 + r + 54 - 3*r. Suppose -3*s - 2 = 4*n, -6*n + 2*n + 4 = 0. Calculate m(s).
-5
Suppose -3 = -5*h + 4*f, -34 + 13 = -4*h - 3*f. Let b(i) = -i**3 + 4*i**2 + 3*i - 7. Let d(m) = -3*m + 19 + 2*m - 18. Let y(z) = -b(z) - 3*d(z). Calculate y(h).
-5
Let j(x) = -4*x - 2. Let h(t) = t**3 + 16*t**2 - 54*t + 61. Let b be h(-19). Let z(n) = 0 + 3 - 2. Let c(i) = b*z(i) + j(i). Determine c(2).
-6
Let r(x) = 3*x**2 - 3*x - 7. Let i be 25/(525/(-6)) + (-122)/14. Let a(w) = -7*w**2 + 6*w + 15. Let t(f) = i*r(f) - 4*a(f). Calculate t(-2).
1
Suppose -24*g = -5*g + 19. Let k be -8 - g - (-1 - 8). Let n(c) = 7*c**2 - 3*c**3 - 3*c**2 + c**3 - 2*c. What is n(k)?
-4
Let g(o) = -208 + 644 - 477044*o - o**2 + 476997*o. Determine g(8).
-4
Let o(m) be the second derivative of 5*m**4/12 - 4*m**3/3 + 13*m**2/2 - 8*m + 42. Calculate o(2).
17
Let v(t) be the second derivative of -t**3/3 - 4*t**2 + 4*t. Suppose -3*i - 20 = -4*n, 2*i + 3*n = 7*n - 12. Let x be (-1)/((-4)/42*12/i). Determine v(x).
6
Suppose -4*x + 63 = -3*x. Let w be 150/40 - 5 - (-783)/12. Let f(q) = -4 + x*q**2 - 6*q - w*q**2 + 0. Calculate f(-3).
5
Let y(k) be the third derivative of 3*k**6/40 + k**5/15 - k**4/12 - k**3/6 - 565*k**2 + 2. What is y(1)?
10
Let w(z) be the first derivative of 2*z**3/3 + 5*z**2 + 24*z - 4186. Calculate w(-7).
52
Let t(y) = -y**2 + 5*y + | {
"pile_set_name": "DM Mathematics"
} |
2 * -6429.
-1285.8
What is -0.678 times -1.75?
1.1865
-1.092427 times 0.1
-0.1092427
-24575*12
-294900
What is the product of -550 and 4.8?
-2640
Product of 4 and -966.56.
-3866.24
Multiply -2833 and -0.18.
509.94
Work out -0.016 * -5199.
83.184
9273.78*2
18547.56
Product of 4 and 28.7.
114.8
Product of -5 and -755355.
3776775
Product of -20 and 9007.
-180140
Work out 21121 * 6.
126726
3*-2460
-7380
8.18*2020
16523.6
-0.1 times 490181
-49018.1
What is -104 times 3.396?
-353.184
-6589 times 0.268
-1765.852
-29*-3567
103443
Product of -12.71 and -2823.
35880.33
-262*-4
1048
15.4 times -98
-1509.2
What is the product of -0.255404 and 2?
-0.510808
What is the product of -1 and 8.2088?
-8.2088
Product of 0.2 and -115.733.
-23.1466
Multiply 2144 and 0.326.
698.944
8.65 times -34.5
-298.425
Calculate -0.7*109.43.
-76.601
What is the product of -1 and -25082?
25082
Product of -0.5 and 181.74.
-90.87
What is -9390 times 5?
-46950
3*505.21
1515.63
Work out 2 * -0.04148.
-0.08296
13 times 31.085
404.105
0.5 times -1006354
-503177
What is -43 times 79?
-3397
What is the product of 0.0571 and 60.6?
3.46026
-3.69*0.073
-0.26937
Product of -18.92 and -0.12.
2.2704
Calculate 1.4*-12213.
-17098.2
Work out 1.9 * -7161.
-13605.9
What is the product of -16.8 and 10.29?
-172.872
964283*-0.5
-482141.5
Calculate -6588.3*0.2.
-1317.66
22174 * -434
-9623516
-0.6*440809
-264485.4
Multiply -5.69 and -3568.
20301.92
Calculate 0*1.601.
0
What is the product of 11490 and -30?
-344700
What is the product of 0.2 and 79537?
15907.4
90975 * 34
3093150
Work out 936356 * 2.
1872712
Calculate -4.8*94.
-451.2
1 times -83103
-83103
Calculate -0.05*12747.
-637.35
What is the product of -97.5 and -849?
82777.5
What is -0.2 times 41650?
-8330
Work out -19.5 * -409.
7975.5
1525.3*-0.8
-1220.24
Multiply -5 and 165462.
-827310
Work out 0.6 * -12.63.
-7.578
-0.06478 * -41
2.65598
Calculate -0.0962*-140.
13.468
Product of 61.5 and 4.6.
282.9
2910 times -333
-969030
Work out -26.04 * 2.34.
-60.9336
-22310*-4
89240
-247 * 6.866
-1695.902
-175897*3
-527691
Product of -373 and 539.
-201047
What is the product of -80.7 and 0.085?
-6.8595
Product of 1.16 and 4067.8.
4718.648
What is -0.0196 times -9?
0.1764
Work out -5746 * 4.
-22984
196052 times 3
588156
0.3 times 47.336
14.2008
-15838.9 * 0
0
-2333 times 29.1
-67890.3
Multiply 15 and 16.2.
243
What is -95.39 times -1?
95.39
Calculate 0.2153*-0.1.
-0.02153
What is -2.44 times 35.1?
-85.644
Calculate -0.1*-1.45843.
0.145843
2 * 104684
209368
Calculate -9445*326.
-3079070
What is the product of -420260 and 6?
-2521560
527*-0.03519
-18.54513
0.063 times -5162.8
-325.2564
-7536 times 15
-113040
What is 80.8 times -7.6?
-614.08
Work out -0.38683 * 0.1.
-0.038683
Multiply -0.4 and 0.055917.
-0.0223668
What is the product of 116710 and 3?
350130
Product of -0.06896 and 0.5.
-0.03448
3*13297
39891
What is -0.3933 times 52?
-20.4516
Calculate 80242*-5.
-401210
What is -80840 times 3?
-242520
Calculate -131*8.1.
-1061.1
Multiply 2 and -4972.
-9944
Work out -4.03 * 0.01.
-0.0403
1209 times 4.8
5803.2
23809 times -0.8
-19047.2
-1323257*0.4
-529302.8
What is the product of 1073 and -3.5?
-3755.5
What is -0.2 times 53578?
-10715.6
What is the product of -2026006 and -0.5?
1013003
Multiply 0.3 and 14236.
4270.8
What is -105195 times -0.3?
31558.5
0.04 times 10465
418.6
Calculate 537*15.
8055
Multiply -114048 and 4.
-456192
What is the product of -0.04 and -2302?
92.08
What is the product of -8 and -1926.29?
15410.32
Product of -2 and 14867.
-29734
Calculate 10*31999.
319990
-2.2 times 352
-774.4
Calculate -0.069*39.3.
-2.7117
Multiply 278.2 and -0.18.
-50.076
Calculate -34.6*-183.
6331.8
What is the product of 59.487 and 5?
297.435
What is the product of 0.04 and -158.3?
-6.332
Calculate 5873.11*-8.
-46984.88
0.5 * 27184.5
13592.25
317 times 17080
5414360
-0.3*1217489
-365246.7
1 * 298
298
What is 0.13864 times 38?
5.26832
Multiply -0.06618 and -1.
0.06618
Multiply 0 and 379.
0
Work out -1.6 * -81684.
130694.4
0.5 times 317442
158721
Multiply 7 and -3.608.
-25.256
0.22801*-52
-11.85652
Multiply 1.5 and 708.
1062
What is -0.0597 times 0.4005?
-0.02390985
-897 times 0.01
-8.97
-0.4 times 57.496
-22.9984
-6 times 7490
-44940
-0.02 * -21.646
0.43292
10849 * 0.5
5424.5
284.872 times 0
0
Work out -1.05 * 41.5.
-43.575
What is -10170 times 82?
-833940
-0.01 times 593333
-5933.33
What is -0.032 times -727.4?
23.2768
Multiply 74 and 14.
1036
Calculate -62781*0.1.
-6278.1
What is -0.3 times -157507?
47252.1
Multiply -56532 and 1.
-56532
-6 * 144.6
-867.6
Calculate 941082*1.
941082
Multiply 0.0065 and -5.9.
-0.03835
Calculate -5*34535.
-172675
Multiply -0.016616 and 4.
-0.066464
2076 times -7
-14532
-0.132*84
-11.088
Calculate -4723*62.
-292826
0.29 times -1.1
-0.319
Product of -28346 and 0.1.
-2834.6
Work out 356 * -311.
-110716
-0.68*4090
-2781.2
Work out 10 * -21058.
-210580
What is the product of 0.1 and 2.9473?
0.29473
7 times 1632.9
11430.3
Product of -1 and -35186.
35186
0.1 * 2372
237.2
Multiply -469 and 76.6.
-35925.4
-0.4046 times 3.2
-1.29472
What is the product of 4 and -4973?
-19892
75*3130
234750
What is 5 times -19222?
-96110
What is -287.1 times 0.06?
-17.226
What is -0.65 times -12.9?
8.385
What is the product of 204424 and -0.5?
-102212
-729628 times -3
2188884
Multiply 0.4 and -603824.
-241529.6
What is the product of -1049 and -26?
27274
1378.6*5
6893
Product of -5.01495 and -0.3.
1.504485
1665*-0.039
-64.935
-0.045 * -2824
127.08
Product of -22846.8 and -0.5.
11423.4
0.047179 times 0.047
0.002217413
Work out -1 * -19.1013.
19.1013
Multiply 70760 and 0.18.
12736.8
What is -0.02 times -47.48?
0.9496
0.021 * 12094
253.974
What is the product of 1034 and 32?
33088
Product of -358 and -59.
21122
-0.03*1260478
-37814.34
What is -0.3 times -815954?
244786.2
Calculate -0.44439*0.4.
-0.177756
Work out -17 * 1029.
-17493
What is the product of 0.5 and 7413.6?
3706.8
Multiply 1191 and 56.
66696
What is -32 times -38.9?
1244.8
Product of 7925 and -1.7.
-13472.5
Work out 40 * -3.55.
-142
Work out 40.7 * -90.
-3663
What is the product of -0.0708087 and -7?
0.4956609
Product of -0.5 and -40.2562.
20.1281
Product of 3.199842 and 1.
3.199842
-5244351 times 0.3
-1573305.3
What is -204.69 times -6?
1228.14
0.8 times 91.9
73.52
-0.3*117559
-35267.7
What is 8537 times 12.5?
106712.5
What is the product of 15 and 2.306?
34.59
-0.2 times -8695
1739
-1 * 408762
-408762
Product of 17.1 and -2.59.
-44.289
-149 times -13
1937
Multiply -231760 and 0.08.
-18540.8
Calculate 4030*5.
20150
3.28 * -0.366
-1.20048
What is 1.42 times 23?
32.66
What is -55 times 389.81?
-21439.55
Calculate 6.16*-13.
-80.08
Calculate 8*21.526.
172.208
-0.3 times 84
-25.2
Work out 106 * -41.
-4346
Work out 3 * -3431.7.
-10295.1
56287 * -0.32
-18011.84
-1156.953 * -0.4
462.7812
Calculate 7.54*-716.
-5398.64
Multiply -1 and -297079.
297079
4 times -114
-456
What is the product of 0.0373 and 0?
0
What is -0.5 times -0.112785?
0.0563925
-1.8848*-10.3
19.41344
Product of -0.0313 and 0.011.
-0.0003443
Work out -32.3 * 82.
-2648.6
What is the product of 0.1 and -3.205?
-0.3205
What is -51009 times -3?
153027
Multiply 0.396 and -0.2763.
-0.1094148
Product of 0.1 and -111.82.
-11.182
Product of 0.12 and -7993.
-959.16
-12 * -117310
1407720
-13.5*-0.4182
5.6457
718.6 times 0.07
50.302
Work out -0.3 * -0.023022.
0.0069066
What is the product of 3 and 39082?
117246
Product of -8710 and -0.17.
1480.7
What is the product of 10 and 2.292?
22.92
What is -0.35216 times -1?
0.35216
Calculate -0.91808*107.
-98.23456
Work out -0.267 * -980.
261.66
What is -9272.4 times 0.4?
-3708.96
-6405.1*-3
19215.3
Multiply -664 and -0.4.
265.6
-105739.4 times 0.4
-42295.76
Calculate -19*-1680.6.
31931.4
-0.4 * -0.066
0.0264
Calculate 8.68*22.
190.96
What is 0.2 times -1210?
-242
4.11*4
16.44
What is 1 times -58.81?
-58.81
Multiply 23990 and -7.
-167930
What is the product of 4864 and -1.5?
-7296
What is 0.11 times 0.01526?
0.0016786
4147.8*-0.52
-2156.856
What is the product of 4555 and -227?
-1033985
Multiply -1 and -1245.2.
1245.2
What is the product of -960 and 0.114?
-109.44
What is 3291.6 times -0.2?
-658.32
What is 22.7 times -0.0863?
-1.95901
Multiply -0.4 and -899545.
359818
Calculate 6019*4.
24076
Work out -0.32 * 8774.
- | {
"pile_set_name": "DM Mathematics"
} |
w.
55
Solve -350*k - 5775 = -154*k + 79*k for k.
-21
Solve 0 = -681*s - 269*s - 506*s + 48048 for s.
33
Solve 292665*q - 292508*q = 6955 + 267 for q.
46
Solve -153*c - 644 - 1860 = 1474 for c.
-26
Solve -5903*z = -5906*z + 3 for z.
1
Solve -581*y + 4682 + 15329 + 11817 = -1017*y for y.
-73
Solve 454*p + 924 = 370*p for p.
-11
Solve -38569*n - 108450 = -36400*n for n.
-50
Solve -51 - 1 = 16119*t - 16132*t for t.
4
Solve 148*y + 12727 + 3775 = -75*y for y.
-74
Solve 1773*g - 2790*g - 2534*g = -156594 - 35160 for g.
54
Solve 74904 + 15705 = -1390*q + 16939 for q.
-53
Solve 11795 = 40888*o - 40551*o for o.
35
Solve -6362162*i + 6362296*i + 11926 = 0 for i.
-89
Solve 0 = -49322*t + 50821*t + 134910 for t.
-90
Solve 81*b = 66*b + 38*b - 255 + 1037 for b.
-34
Solve 2384*a = -6630 - 12442 for a.
-8
Solve 45995*u = 46289*u - 28224 for u.
96
Solve 41346*l = 41296*l - 1000 for l.
-20
Solve 26*l - 291 = 84*l + 637 for l.
-16
Solve 2074*r + 102715 = -52640 - 49971 for r.
-99
Solve -91*n - 3927 + 4564 = 0 for n.
7
Solve -3280*u + 126269 = 1947*u + 4486*u for u.
13
Solve 0 = 37125*i - 30378*i + 65307 + 116862 for i.
-27
Solve -302*t = -606*t + 299*t + 270 for t.
54
Solve 0 = -1178*j + 10003 - 10522 - 19065 - 22824 for j.
-36
Solve 4167*g - 3645 = 3924*g for g.
15
Solve -426*g + 226*g - 1446 = 282*g for g.
-3
Solve 3248403*v - 3248472*v = -414 for v.
6
Solve 0 = 975*s - 46343 - 28732 for s.
77
Solve -199*u - 151373 + 11252 - 4419 = 1261*u for u.
-99
Solve 281023 - 127125 + 695082 = -15436*b for b.
-55
Solve 20622 = -516*m + 414*m - 440*m - 931*m for m.
-14
Solve 3437*x - 55114 = -39*x + 234*x for x.
17
Solve 46*w - 26*w + 374 = 42*w for w.
17
Solve -314*z + 82*z + 10593 = 945*z for z.
9
Solve -148787 = -3083*b + 160940 - 106249 for b.
66
Solve -163*b - 496*b = 173*b - 22891 + 7083 for b.
19
Solve -212*l - 1346 - 1017 = 921 - 952 for l.
-11
Solve 0 = -32*v - 370*v + 73*v + 13818 for v.
42
Solve 11*n + 9216 = -123*n + 6*n for n.
-72
Solve -3162*l + 68742 + 32442 = 0 for l.
32
Solve 248328 + 45160 = 2822*b for b.
104
Solve 1941*t + 1189*t + 39289 = 1150*t + 199669 for t.
81
Solve 14998 = 1037*t + 138401 for t.
-119
Solve 0 = 1232*g + 702*g + 71558 for g.
-37
Solve 496*h + 10565 = -906*h - 35701 for h.
-33
Solve -712510*p = -712648*p + 15180 for p.
110
Solve 82*z - 414 - 677 + 139 = 14*z for z.
14
Solve -420*f - 471*f + 1037*f - 7446 = 0 for f.
51
Solve -96*z + 184*z - 174*z = 3612 for z.
-42
Solve -6029*l + 196691 = -345919 for l.
90
Solve -975*r - 101303 = -24278 for r.
-79
Solve 877*b + 1069*b = 577*b - 17238 + 810 for b.
-12
Solve -30*p + 16*p - 9840 = -51*p - 203*p for p.
41
Solve 1918*r = 94191 - 318597 for r.
-117
Solve 359*u + 25627 = 42500 for u.
47
Solve -5514*l + 5532*l + 324 = 0 for l.
-18
Solve 48*t + 26271 = -369*t - 157*t - 22519 for t.
-85
Solve -60912 = -2762*x + 15474 + 36856 for x.
41
Solve 2195 = 217*n + 230 - 4111 for n.
28
Solve 160*a - 1151 + 3444 + 2308 = -3399 for a.
-50
Solve -1462981*m = -1463024*m + 3182 for m.
74
Solve 1966*a + 508*a - 7724 = 284*a + 16366 for a.
11
Solve -4523*x - 131562 - 49709 = 13218 for x.
-43
Solve 101792 + 302161 = 7024*q + 38705 for q.
52
Solve 266*y + 2271*y + 64311 = -1246*y for y.
-17
Solve -556*f + 14006 = -20466 for f.
62
Solve -147*c + 14329 + 377 = 627*c for c.
19
Solve 0 = 2562*y + 971*y + 67063 + 102521 for y.
-48
Solve 5884 = -86*t - 120*t - 90 for t.
-29
Solve 137*m + 418*m = 4409*m + 3373*m + 72270 for m.
-10
Solve -347*s - 3424 = 9567 - 4316 for s.
-25
Solve 61829*r = 61779*r + 650 for r.
13
Solve 1027*g - 1137*g - 7150 = 0 for g.
-65
Solve 0 = 43*m + 142*m + 278 - 2683 for m.
13
Solve 3000 = 178*r + 161*r - 264*r for r.
40
Solve -2754*a + 38260 = -595*a + 125*a + 1716 for a.
16
Solve -1582*b - 140*b = -80934 for b.
47
Solve -1095 = -97*h - 8*h + 27*h + 2883 for h.
51
Solve 0 = 71262*n - 71271*n + 477 for n.
53
Solve -44*f + 1280 = -398*f - 13072 + 192 for f.
-40
Solve -1641*i = 1922*i - 1247*i - 4632 for i.
2
Solve -3294*l = 29064 - 134472 for l.
32
Solve -456 - 236 = 8*l - 29*l - 167 for l.
25
Solve -12*q + 2213*q - 505*q = -47895 - 62345 for q.
-65
Solve -1717*b + 1627*b - 9936 - 1554 = -3920*b for b.
3
Solve 4064*q - 1204 = 3978*q for q.
14
Solve -496*x + 573 + 2828 = -2974 - 3545 for x.
20
Solve -44278*d + 418 = -44297*d for d.
-22
Solve -14448 + 4484 = -175*z - 13*z for z.
53
Solve 1093*h + 28841 = 3702 for h.
-23
Solve 3600 = 25385485*i - 25385405*i for i.
45
Solve 219*y - 7797 = 8847 for y.
76
Solve -582*d + 705*d + 7101 = -1019*d + 68769 for d.
54
Solve 0 = 4564*b - 4552*b - 384 for b.
32
Solve -100741*a - 19932 = -100590*a for a.
-132
Solve -1612*r - 20*r + 145160 = 3003*r - 815*r for r.
38
Solve 41 + 32 + 27 = 25*j for j.
4
Solve 0 = -3703*k + 4*k + 620*k - 89291 for k.
-29
Solve -49300*x = -49399*x + 2871 for x.
29
Solve -4059 + 519 - 4416 = 512*q + 151*q for q.
-12
Solve 80*v - 72*v - 232*v = 244*v + 17316 for v.
-37
Solve 47*n - 41*n + 694 = -70*n - 826 for n.
-20
Solve 0 = 1544*z + 184145 - 119297 for z.
-42
Solve -291*a = 141*a + 177*a - 151*a + 23816 for a.
-52
Solve 0 = 109369*u - 110795*u + 39928 for u.
28
Solve -17208 = -337*l + 8741 for l.
77
Solve 0 = 2227*o - 1989*o + 10312 + 2302 for o.
-53
Solve -7105 = -4265*f + 18485 for f.
6
Solve 5689*n - 5270*n = 52794 for n.
126
Solve 7117*l - 103578 = -473662 for l.
-52
Solve 2670*h - 743*h - 695*h - 52682 = 735*h for h.
106
Solve 6265*a - 6444 - 14968 = 5861*a for a.
53
Solve 1006*v = 306*v + 499*v - 11055 for v.
-55
Solve 369*f = -5675*f + 2945*f - 4323*f - 103908 for f.
-14
Solve 2085*q = -1580*q + 43980 for q.
12
Solve 0 = 816053*d - 815863*d - 13110 for d.
69
Solve -38*u = 1367 - 1451 + 1680 for u.
-42
Solve 38552 = -2470*t - 52838 for t.
-37
Solve 1044 = 349286*h - 349315*h for h.
-36
Solve 0 = 5853*o - 2094*o - 287388 - 35886 for o.
86
Solve 16508 - 15700 - 8996 = 89*v for v.
-92
Solve -739*a + 202954 = 197781 for a.
7
Solve -7456*k + 17682*k - 476222 = 134190 + 197442 for k.
79
Solve -41498*c - 24075 = -83086*c + 41267*c for c.
75
Solve -3328*x - 19220*x = -305687 - 1950391 - 179106 for x.
108
Solve -304039 - 789488 = -10827*a for a.
101
Solve -110157 - 17209 = 3308*s + 4954 for s.
-40
Solve 1770*y + 274749 = 131379 for y.
-81
Solve 21908*k + 1178248 = 2904*k for k.
-62
Solve 1744*u = 1537*u - 828 for u.
-4
Solve -22427 - 14543 = -922*k + 4520 for k.
45
Solve 76896 = -2998*n + 328879 + 32354 + 96409 for n.
127
Solve -819*y + 25256 = -7965 - 5910 - 9190 for y.
59
Solve 0*d - 119*d + 2389 + 573 = -13 for d.
25
Solve 58224*j = 58131*j + 2325 for j.
25
Solve 0 = 78*i - 124*i + 417*i - 16324 for i.
44
Solve -75*z - 46434 = 25*z - 43634 for z.
-28
Solve -327*q + 8784 = -7428 - 14853 for q.
95
Solve 24 = -31*v + 15*v + 40*v for v.
1
Solve 229649 + 180880 = 2976*a + 136737 for a.
92
Solve 0 = -4642*l + 113117 + 181239 - 104034 for l.
41
Solve -548*s - 535*s + 657*s + 92229 = 873*s for s.
71
Solve 0 = -68245*q + 69445*q + 118800 for q.
-99
Solve -1145*a = -1395*a - 8000 for a.
-32
Solve 348*x - 4738 + 5953 = 12693 + 4878 for x.
47
Solve -5774306*n = -5774315*n + 414 for n.
46
Solve 36*b - 91*b = 238*b + 4981 for b.
-17
Solve 220*l = -10157 + 7297 for l.
-13
Solve -402*l + 161*l = -194*l + 2021 for l.
-43
Solve -616*q - 24252 = 4700 for q.
-47
Solve 91066 = -7800*l - 181934 for l.
-35
Solve 117369 = -408*p + 103497 for p.
-34
Solve -509*u - 74*u + 7642 + 95 + 22579 = 0 for u.
52
Solve 4784 = -1963*r + 2055*r for r.
52
Solve 2172*w - 7239*w = 999*w + 169848 for w.
-28
Solve 58*g - 3055 = -2127 for g.
16
Solve -83069 - 21951 + 7945 = -858*z - 907*z for z.
55
Solve -89*s - 132*s - 31*s + 19895 = -79*s for s.
115
Solve -183*p - 415 = -366*p + 166*p + 758 for p.
69
Solve -4518*y - 4350 - 285537 = 161913 for y.
-100
Solve -4566 = 263*m + 7719 - 3606 for m.
-33
Solve 5026 = -196*m - 3156 - 3330 + 2300 for m.
-47
Solve 1474*h + 635 = 1459*h - 115 for h.
-50
Solve 82060 + 25641 = 17581*f - 32947 for f.
8
Solve -10015 = 1909*x + 11801 - 4635 for x.
-9
Solve 1527*c - 1514*c - 358 = 188 for c.
42
Solve 4806*x = -4815*x - 4811*x + 14439*x + 413 for x.
-59
Solve 0 = 180700*q - 180712*q + 336 for q.
28
Solve -324745 = -105540*g + 102505*g for g.
107
Solve -15*b + 190 + 289 - 344 = 0 for b.
9
Solve 9092 + 7618 + 805 = -202*j + 2971 for j.
-72
S | {
"pile_set_name": "DM Mathematics"
} |
823. What is the third smallest value in l, -2/7, 0.3?
l
Let u = 103 + -200. Let t = u + 141. Which is the smallest value? (a) 5 (b) t (c) -3
c
Let m = -37887.7 - -37887.4. Let g = -223/180 + -1/90. What is the second smallest value in g, m, 4?
m
Let v = -2 + 2.5. Let b = -2.7018 - -2.65. Let i = b + 0.0518. What is the third smallest value in v, i, -3, -2?
i
Let g = -277.2 - -277. Let u = 114.988 + -116. Let t = 0.012 + u. What is the fourth smallest value in 6, -3, g, t?
6
Let q = 380/7 - 1513/28. What is the fifth smallest value in q, 4, -0.1, 5, 0.89?
5
Suppose -738340 = 10*c - 738300. Let a = 4 - 2. Let j = 1 + a. What is the second smallest value in j, c, 3/4, -0.3?
-0.3
Let n = 60.2 - 15.9. Let z = n + -44. Let h = 1 - -3. Which is the third biggest value? (a) h (b) 0.1 (c) z
b
Let i = 7699 + -7385. What is the smallest value in i, 0.1, -5?
-5
Suppose 71*n - 74*n = -3. Suppose -w - 2*l + n = 0, w - 5*l = -w - 16. Which is the biggest value? (a) -0.1 (b) -0.02 (c) w (d) 2
d
Let i = -11493 + 22983/2. Suppose x = 5*x + 8. Let j = x + 5/2. What is the third biggest value in -0.4, j, i?
i
Let w = 1097/36 - 121/4. Let r = -479/45 + 56/5. Let p = r - w. What is the second biggest value in -1, p, -5, -0.5?
-0.5
Suppose 90*b = -2*h + 91*b + 1, 0 = 2*h - 3*b - 3. What is the third smallest value in 123, h, -2, -2/5?
h
Let b = -11761/14720 - 3/2944. Let f be (2 - 52/27)*6. What is the biggest value in -4, f, b?
f
Let f = -194/719 + 2659/7190. Let l = 0.7 + -0.56. Which is the third smallest value? (a) 1 (b) 2/3 (c) l (d) f
b
Let j = -36.13 - 0.07. Let r = j + 6.2. What is the second biggest value in -2, r, 0?
-2
Let p = 8.025 - 8.315. What is the fourth smallest value in -5, p, 0.4, 1/4?
0.4
Suppose 40*n + 269 = 469. Which is the fourth biggest value? (a) -1/5 (b) -1/2 (c) -0.016 (d) -2 (e) n
b
Let u = 2094 + -2093. What is the fourth smallest value in 0, -2, u, 0.5?
u
Let p = 3322 - 3323. Which is the biggest value? (a) -3/4 (b) -2 (c) -4.02 (d) p
a
Let o = 7 + 2. Suppose -13*p + 8 = -o*p. Suppose 0 = -p*y + 4*t + 6, -y + 3*t = 4*y - 8. Which is the third biggest value? (a) -3 (b) y (c) 0.2
a
Let c = 4785 + -4789. What is the fifth smallest value in c, -3, 2, 1/16, -1?
2
Let v = 14699 + -14700. Which is the third biggest value? (a) -0.344 (b) v (c) -2/7 (d) 5
a
Let z = -10012 - -10009. Which is the second biggest value? (a) 0.7 (b) -5 (c) 4 (d) 5/12 (e) z
a
Let y = -10.5 - -11. Let h = 78.85 + -80. Let d = h - -0.95. What is the biggest value in -0.1, 1/6, d, y?
y
Let k = -3277/390 + 215/26. What is the third biggest value in -3/4, 35, k?
-3/4
Let f = 12 - 51. Let o = f - -51. Let a = -654 + 651. What is the fourth biggest value in 2, a, o, -1/4?
a
Let g be (-2)/(-8) + ((-2)/(-33))/((-760)/57). Which is the second biggest value? (a) 0 (b) g (c) 1
b
Let a = 1464 - 1461. Let y be 6/27 + (-80)/252. What is the smallest value in -3/2, y, a?
-3/2
Let x be ((-104)/(-6) + 2/1)/((-178)/5073). What is the second biggest value in 9, x, -0.4?
-0.4
Let k be 5 - ((-40)/8 + 5) - (2 + 201). Which is the second smallest value? (a) k (b) -1 (c) -3/8 (d) 1
b
Let p = 1.031 + -0.031. Let u = -0.65 + -47.35. Let q be 1406/7733 - 1/((-66)/(-56)). What is the third smallest value in q, u, p?
p
Let o be (-3 - 28/(-12))*(-8 - 2394/(-297)). What is the second smallest value in -1/3, -8, o?
-1/3
Suppose 15*g - 18*g + 18 = -x, 2*x - g + 16 = 0. Let p = 7.8 - 7.6. What is the third smallest value in 0, p, x, 1?
p
Let k = -0.1 + -0.9. Let d = 11 - 10.95. Let t = d - 0.15. Which is the biggest value? (a) t (b) k (c) -4
a
Suppose 3 = 5*y + 13. Let d = -1549 + 2853. Let p = -1308 + d. What is the third smallest value in y, 1, p?
1
Suppose -3 = 2*q - 5*q. Let g = 111 - 112.4. Let r = g + 1.6. Which is the smallest value? (a) -1 (b) r (c) q
a
Let s be (3/(-5))/(140/(-525)). Which is the fifth smallest value? (a) s (b) -4 (c) 3 (d) 10 (e) 0
d
Let s = 11437 - 11581. Which is the third smallest value? (a) s (b) -27 (c) 2/7
c
Let o = -3.98848 + -0.01152. Let g be (-1)/(-6) - (-1)/3. Which is the third biggest value? (a) g (b) 9 (c) o
c
Let l = -20129 - -20129.2. Let f = 0 + 6. What is the smallest value in f, -0.2, l?
-0.2
Let y be 0/(4 + -2 - 1). Let b = 1.15 - -0.35. Let t = 5.5 - b. What is the second biggest value in t, 0.7, y?
0.7
Let r = 4 + -7. Suppose -4*c - 4 = -46*u + 50*u, 0 = c + 4*u - 11. Let v = -2.7 - -0.7. What is the second smallest value in c, -10, v, r?
c
Let c be ((-6 - -1)/20)/((-10)/24). Let i be 5/2*((-18)/4 + 5). What is the smallest value in c, -5, 0.5, i?
-5
Let z(m) = 2*m**3 - 4*m**2 - 4*m + 5. Let s(x) = 8*x - 94. Let c be s(12). Let o be z(c). Suppose -5*v = -18 - 7. What is the third biggest value in -2, o, v?
o
Let y = 0.45 - 0.05. Let m = 1452 + -1452. What is the fourth smallest value in -9/2, y, -1, m?
y
Let j = -2 - -2.2. Suppose -5*y = -4*h + 15, -3*h - 6*y + 3*y = 9. Let x be 7 + (-75)/10 + h. What is the third biggest value in 9, 0, x, j?
0
Let m = -10 - -5. Let b = 0.0685 + 102.9315. Let t = b - 103.16. What is the third biggest value in -0.5, m, -3, t?
-3
Let j = 0.2 + -0.4. Let s = -337/205 + 214/205. What is the third smallest value in -74, s, j?
j
Let c = 150.92947 + 0.07053. Let w be -1*(0 + 4/2). What is the biggest value in c, 3, w?
c
Let u(d) = d**3 - 11*d**2 - 80*d + 6. Let j be u(16). Which is the biggest value? (a) -6 (b) j (c) 1/4
b
Let l = 219.18 - 219.18. What is the biggest value in l, -11/5, -1, -9?
l
Suppose 2*j + 8 = 0, -2*g + 50 = -j - 8. Let t be 6/g - (-7 + (-476)/(-36)). Which is the biggest value? (a) t (b) 0.1 (c) -18
b
Suppose -4 = 7*i - 11. Let f be (0 - i)/((-21)/84). Let p be (-1)/(-1) - (-3 - -30). Which is the third smallest value? (a) p (b) f (c) 3
b
Let v = -2.548 + 2.128. Which is the third biggest value? (a) 1 (b) 3/2 (c) v
c
Let f = -242.36 + -1.64. Let m = f - -246. What is the third smallest value in -2/3, m, 4, 3?
3
Let j = 5 + -2. Let i = 262.2 + -266.2. What is the third smallest value in -0.6, i, j, 1/4?
1/4
Let o = 25013 + -25016. Which is the fourth smallest value? (a) 5 (b) -0.05 (c) 0.3 (d) -0.01 (e) o
c
Let l be 8/(-6) - (3 + (-14455)/2550). Let f = 21/17 - l. Which is the third biggest value? (a) f (b) 0 (c) 1/4
a
Let i = -495 - -441.6. Let s = -912 - -965. Let x = i + s. Which is the biggest value? (a) x (b) 2/3 (c) 2 (d) 3/7
c
Let y = 6 + -5. Let m be (-6)/4 - 555/(-30). Let a be 5/(0 + y) + m + -19. What is the biggest value in -6, -3, a?
a
Let j = 42 + -42.075. Let h = -0.125 + j. Let s = 6 - 3. Which is the second biggest value? (a) s (b) -3 (c) h
c
Let j = 316.99 - 314. Let m = 2.01 + j. What is the biggest value in 3, m, 2?
m
Let l = -129655.4 + 129648. Let j be (-4 - -6) + 1*-1. Which is the second biggest value? (a) j (b) l (c) 3/5
c
Let u = -0.4 - -0.3. Let g = -94084.3 + 94084. Which is the third biggest value? (a) u (b) 0 (c) 9/4 (d) g
a
Let a = 50 + -31. Suppose a*i - 10*i = -297. What is the third smallest value in i, -3, 1?
1
Let i = -9/2 - -21/4. Let t = -37 + 37. Which is the second smallest value? (a) -0.4 (b) i (c) t
c
Let z = -7649 + 7648. What is the second biggest value in -12, z, -2/9, 75, 0?
0
Suppose 8 = 4*b - 20. What is the second biggest value in -4, -2/5, -8, b, -2?
-2/5
Let x = -6910 + 6909.99. Which is the second biggest value? (a) x (b) -5 (c) 3/2 (d) 0.42
d
Let w = 0.07 + -0.27. Let p = -4360 - -4344. What is the smallest value in p, w, -3, -0.4?
p
Let g = -1098 - -1096. What is the third biggest value in -2/67, -0.1, g, 3?
-0.1
Let i = -188.634 + -0.366. Let k = i + 188.9. Let m = 2 + -2.3. Which is the smallest value? (a) 2/13 (b) k (c) m
c
Let i = 0.9583 - -4.0417. Let r be (-1 - 0) + (-10)/(-7). Suppose -5 = -t - 1. Which is the fourth biggest value? (a) i (b) r (c) -3/5 (d) t
c
Let i = 2 + 0. Let u be (i - (-4 + 3)) + -1. Let t = 152/405 + 2/81. Which is the second biggest value? (a) u (b) t (c) 1/3
b
Let j be (-4 + 1)*(-7)/14. Let z = 3/15016 - 120143/75080. What is the second smallest value in -2/9, z, j?
-2/9
Let o be (2/22)/(192/(-384)). Which is the smallest value? (a) 0.289 (b) 2/13 (c) o
c
Let d = -0.16 + 61.16. Let g = 57 - d. Let k = -6.7 | {
"pile_set_name": "DM Mathematics"
} |
4997?
3*t**2 + 7*t + 124921
What is the s'th term of -404, -821, -1254, -1709, -2192, -2709, -3266?
-s**3 - 2*s**2 - 404*s + 3
What is the m'th term of 22017, 44036, 66055, 88074, 110093, 132112?
22019*m - 2
What is the q'th term of -878, -900, -958, -1070, -1254, -1528, -1910?
-3*q**3 - q - 874
What is the r'th term of -165767, -165763, -165757, -165749, -165739, -165727?
r**2 + r - 165769
What is the x'th term of -27, -89, -235, -501, -923, -1537, -2379, -3485?
-6*x**3 - 6*x**2 - 2*x - 13
What is the f'th term of 5197934, 5197934, 5197936, 5197940, 5197946, 5197954?
f**2 - 3*f + 5197936
What is the r'th term of 14840, 29682, 44524?
14842*r - 2
What is the m'th term of -32322, -129452, -291336, -517974, -809366, -1165512?
-32377*m**2 + m + 54
What is the d'th term of -3019, -2982, -2943, -2902?
d**2 + 34*d - 3054
What is the x'th term of -125, -359, -819, -1619, -2873, -4695?
-19*x**3 + x**2 - 104*x - 3
What is the c'th term of 91, 239, 423, 643, 899, 1191?
18*c**2 + 94*c - 21
What is the v'th term of -1094, -2162, -3230, -4298?
-1068*v - 26
What is the f'th term of -18500, -18502, -18504?
-2*f - 18498
What is the b'th term of -110, -224, -356, -518, -722?
-2*b**3 + 3*b**2 - 109*b - 2
What is the k'th term of 421, 1748, 3961, 7060, 11045, 15916?
443*k**2 - 2*k - 20
What is the m'th term of 132, 1143, 3868, 9165, 17892?
143*m**3 - m**2 + 13*m - 23
What is the j'th term of 5672, 5665, 5658?
-7*j + 5679
What is the y'th term of -1101, -2207, -3305, -4389, -5453?
y**3 - 2*y**2 - 1107*y + 7
What is the o'th term of -759, -6144, -20759, -49218, -96135, -166124, -263799?
-769*o**3 - o**2 + o + 10
What is the x'th term of -221, -213, -207, -209, -225, -261, -323, -417?
-x**3 + 5*x**2 - 225
What is the h'th term of 291, 1125, 2505, 4431, 6903?
273*h**2 + 15*h + 3
What is the a'th term of 2623, 5256, 7889, 10522, 13155?
2633*a - 10
What is the n'th term of 161, 1266, 4265, 10106, 19737, 34106, 54161?
158*n**3 - n**2 + 2*n + 2
What is the i'th term of -122, -738, -1766, -3206, -5058, -7322, -9998?
-206*i**2 + 2*i + 82
What is the c'th term of 1375, 1371, 1365, 1357, 1347, 1335, 1321?
-c**2 - c + 1377
What is the g'th term of -448, -523, -598, -673, -748?
-75*g - 373
What is the f'th term of 472, 423, 374, 325, 276, 227?
-49*f + 521
What is the r'th term of 20479, 40955, 61431, 81907?
20476*r + 3
What is the w'th term of 796, 1588, 2380, 3172, 3964?
792*w + 4
What is the j'th term of -599, -1504, -2409, -3314, -4219?
-905*j + 306
What is the k'th term of 538, 786, 1034, 1282, 1530?
248*k + 290
What is the g'th term of -14378, -57695, -129890, -230963, -360914?
-14439*g**2 + 61
What is the h'th term of -84, -556, -1342, -2442, -3856?
-157*h**2 - h + 74
What is the v'th term of 740, 734, 728, 722?
-6*v + 746
What is the p'th term of 72, 326, 744, 1308, 2000, 2802?
-3*p**3 + 100*p**2 - 25*p
What is the c'th term of -203, -421, -665, -935, -1231, -1553, -1901?
-13*c**2 - 179*c - 11
What is the q'th term of 154, 313, 504, 745, 1054, 1449, 1948?
3*q**3 - 2*q**2 + 144*q + 9
What is the i'th term of 332, 2136, 6966, 16334, 31752, 54732?
252*i**3 + i**2 + 37*i + 42
What is the g'th term of -103678, -103673, -103668, -103663, -103658, -103653?
5*g - 103683
What is the s'th term of -1916, -1996, -2070, -2138?
3*s**2 - 89*s - 1830
What is the h'th term of -961, -1016, -1061, -1096?
5*h**2 - 70*h - 896
What is the n'th term of 7186, 14371, 21556, 28741?
7185*n + 1
What is the m'th term of 144, 148, 134, 96, 28, -76, -222, -416?
-m**3 - 3*m**2 + 20*m + 128
What is the d'th term of 23177, 46354, 69531, 92708?
23177*d
What is the i'th term of -20, -8, 20, 70, 148, 260?
i**3 + 2*i**2 - i - 22
What is the x'th term of 4680, 9371, 14060, 18747, 23432?
-x**2 + 4694*x - 13
What is the i'th term of -70329, -140671, -211013, -281355, -351697?
-70342*i + 13
What is the a'th term of -193, -94, 55, 242, 455, 682, 911?
-2*a**3 + 37*a**2 + 2*a - 230
What is the t'th term of 295, 454, 613, 772?
159*t + 136
What is the n'th term of 4192, 4193, 4194, 4195?
n + 4191
What is the m'th term of 15239, 122126, 412251, 977234, 1908695, 3298254, 5237531?
15270*m**3 - m**2 - 30
What is the b'th term of -16363, -16209, -15951, -15589, -15123, -14553, -13879?
52*b**2 - 2*b - 16413
What is the d'th term of 2271, 4534, 6797, 9060, 11323, 13586?
2263*d + 8
What is the t'th term of -1753, -1782, -1823, -1876, -1941, -2018?
-6*t**2 - 11*t - 1736
What is the b'th term of -26038, -52025, -78012, -103999, -129986, -155973?
-25987*b - 51
What is the g'th term of -1291, -1153, -1015?
138*g - 1429
What is the k'th term of -5303, -21233, -47787, -84965?
-5312*k**2 + 6*k + 3
What is the p'th term of -61, -119, -177?
-58*p - 3
What is the z'th term of -5938, -23840, -53668, -95416, -149078, -214648?
z**3 - 5969*z**2 - 2*z + 32
What is the r'th term of -1826, -1392, -946, -482, 6, 524, 1078?
r**3 + 427*r - 2254
What is the z'th term of -548546, -548540, -548536, -548534, -548534, -548536?
-z**2 + 9*z - 548554
What is the d'th term of 484, 972, 1480, 2008, 2556, 3124, 3712?
10*d**2 + 458*d + 16
What is the a'th term of -768523, -768527, -768533, -768541, -768551, -768563, -768577?
-a**2 - a - 768521
What is the d'th term of -31403, -62806, -94207, -125606?
d**2 - 31406*d + 2
What is the l'th term of 2300, 2349, 2428, 2537?
15*l**2 + 4*l + 2281
What is the a'th term of 5384, 21508, 48382, 86006, 134380, 193504?
5375*a**2 - a + 10
What is the c'th term of 661107, 661117, 661127, 661137, 661147?
10*c + 661097
What is the c'th term of 301, 1156, 2561, 4516, 7021?
275*c**2 + 30*c - 4
What is the t'th term of -1073, -2083, -3093, -4103?
-1010*t - 63
What is the q'th term of -292, -297, -310, -331, -360, -397, -442?
-4*q**2 + 7*q - 295
What is the c'th term of -111942, -447768, -1007480, -1791078, -2798562?
-111943*c**2 + 3*c - 2
What is the g'th term of -14193, -28427, -42661, -56895, -71129, -85363?
-14234*g + 41
What is the f'th term of -1439, -2809, -4177, -5543, -6907, -8269?
f**2 - 1373*f - 67
What is the n'th term of -27344, -54682, -82020, -109358, -136696, -164034?
-27338*n - 6
What is the h'th term of -154103, -154116, -154143, -154190, -154263, -154368, -154511?
-h**3 - h**2 - 3*h - 154098
What is the b'th term of 5447, 5565, 5761, 6035?
39*b**2 + b + 5407
What is the v'th term of -358, -512, -666?
-154*v - 204
What is the f'th term of -173, -237, -301, -365?
-64*f - 109
What is the h'th term of -193, -164, -135, -106?
29*h - 222
What is the d'th term of -3, -303, -795, -1473, -2331?
d**3 - 102*d**2 - d + 99
What is the p'th term of 17475, 17506, 17557, 17628, 17719, 17830?
10*p**2 + p + 17464
What is the v'th term of -1523, -1426, -1329?
97*v - 1620
What is the v'th term of 321, 339, 409, 555, 801, 1171, 1689, 2379?
4*v**3 + 2*v**2 - 16*v + 331
What is the a'th term of -20907, -83627, -188157, -334497, -522647, -752607, -1024377?
-20905*a**2 - 5*a + 3
What is the h'th term of 139, 250, 349, 430, 487, 514?
-h**3 + 118*h + 22
What is the g'th term of 1522766, 1522764, 1522762, 1522760, 1522758, 1522756?
-2*g + 1522768
What is the w'th term of 2934, 5849, 8748, 11625, 14474, 17289?
-w**3 - 2*w**2 + 2928*w + 9
What is the a'th term of -23180, -23207, -23234, -23261, -23288?
-27*a - 23153
What is the r'th term of 12494, 12491, 12488, 12485, 12482, 12479?
-3*r + 12497
What is the v'th term of 15757, 15752, 15747, 15742, 15737?
-5*v + 15762
What is the n'th term of -79, -159, -239, -319, -399?
-80*n + 1
What is the i'th term of 807, 662, 289, -426, -1597?
-19*i**3 - 12*i + 838
What is the t'th term of 7035, 14071, 21107, 28143?
7036*t - 1
What is the p'th term of 140394, 280795, 421198, 561603, 702010, 842419, 982830?
p**2 + 140398*p - 5
What is the y'th term of 357, 701, 1047, 1395, 1745, 2097, 2451?
y**2 + 341*y + 15
What is the o'th term of -356, -1402, -3122, -5504, -8536, -12206, -16502?
2*o**3 - 349*o**2 - 13*o + 4
What is the q'th term of -798, -3174, -7134, -12678, -19806, -28518, -38814?
-792*q**2 - 6
What is the a'th term of -37885, -37889, -37895, -37903, -37913?
-a**2 - a - 37883
What is the w'th term of -40448, -40451, -40458, -40469, -40484, -40503, -40526?
-2*w**2 + 3*w - 40449
What is the j'th term of -294, -617, -980, -1377, -1802?
j**3 - 26*j**2 - 252*j - 17
What is the i'th term of 3388, 6 | {
"pile_set_name": "DM Mathematics"
} |
385 = 0. What is r?
5, 1354
Factor 338*f**2/5 - 5044*f + 94090.
2*(13*f - 485)**2/5
Factor d**2/5 - 51*d/5 + 112.
(d - 35)*(d - 16)/5
Let w**3 + 8118*w**2 + 16491705*w + 65836996 = 0. What is w?
-4057, -4
Suppose 25*k**2 + 2187165*k - 874870 = 0. What is k?
-87487, 2/5
Factor j**4/2 + 609*j**3/2 - 3*j**2/2 - 1825*j/2 + 609.
(j - 1)**2*(j + 2)*(j + 609)/2
Factor u**4 - 294*u**3 - 889*u**2 - 594*u.
u*(u - 297)*(u + 1)*(u + 2)
Let -9*f**5/7 + 47*f**4/7 + 125*f**3/7 - 75*f**2/7 - 116*f/7 + 4 = 0. Calculate f.
-2, -1, 2/9, 1, 7
Find p, given that -p**3 + 9005*p**2 - 161847*p + 727947 = 0.
9, 8987
Suppose 25*z**4 - 1034480*z**3 + 10701074900*z**2 + 8561522000*z = 0. Calculate z.
-4/5, 0, 20690
Suppose 6*o**4/11 + 2688*o**3/11 + 73866*o**2/11 + 403032*o/11 + 30168 = 0. Calculate o.
-419, -22, -6, -1
Factor -3*i**2/7 + 306*i/7 + 14520.
-3*(i - 242)*(i + 140)/7
Factor a**3/6 + 1529*a**2/6 + 431119*a/6 + 11338717/2.
(a + 169)**2*(a + 1191)/6
Solve 3*k**5/2 + 57*k**4/2 + 321*k**3/2 + 123*k**2/2 - 1638*k - 2646 = 0.
-7, -6, -2, 3
Solve -12*q**5 + 15144*q**4 + 167805*q**3 + 293925*q**2 + 175647*q + 34371 = 0.
-9, -1, -1/2, 1273
Let 28*i**3 + 680*i**2 + 2852*i + 760 = 0. Calculate i.
-19, -5, -2/7
Solve 5*i**2 + 41250*i - 82520 = 0 for i.
-8252, 2
Factor 5*c**4 - 4200*c**3 + 16735*c**2 - 12540*c.
5*c*(c - 836)*(c - 3)*(c - 1)
Determine n so that 2*n**5 - 234*n**4 - 514*n**3 + 4578*n**2 - 6688*n + 2856 = 0.
-6, 1, 2, 119
Solve 2*b**4 - 8572*b**3 - 60074*b**2 - 120188*b - 68688 = 0.
-4, -2, -1, 4293
Factor 5*d**2 + 99450*d.
5*d*(d + 19890)
Suppose -28*n**5 - 13476*n**4 + 334924*n**3 - 201436*n**2 - 735648*n - 185840 = 0. What is n?
-505, -1, -2/7, 2, 23
Factor -o**2/4 + 240*o - 2871/4.
-(o - 957)*(o - 3)/4
Find q such that -q**2 + 6378*q = 0.
0, 6378
Suppose -55*b**5 - 78*b**4 + 731*b**3 + 618*b**2 - 136*b = 0. What is b?
-4, -1, 0, 2/11, 17/5
Factor 2*p**5 + 5672*p**4 + 4027116*p**3 + 8037224*p**2 + 4015778*p.
2*p*(p + 1)**2*(p + 1417)**2
Let -3*v**4 + 46716*v**3 - 242751330*v**2 + 422297406300*v - 7109130037875 = 0. What is v?
17, 5185
What is l in 9*l**2/2 - 739556*l - 164346 = 0?
-2/9, 164346
Factor -5*o**2 - 45720*o.
-5*o*(o + 9144)
Determine k, given that -168*k**3 - 513*k**2 - 495*k - 150 = 0.
-10/7, -1, -5/8
Factor -3*a**5/5 - 438*a**4/5 + 1449*a**3.
-3*a**3*(a - 15)*(a + 161)/5
Find r, given that 108*r**5 + 16272*r**4 + 469659*r**3 - 11318091*r**2 + 3733257*r - 310005 = 0.
-83, 1/6, 15
Factor 2*g**2/5 + 1308*g + 19602/5.
2*(g + 3)*(g + 3267)/5
Suppose -2*t**2 + 460*t - 22922 = 0. What is t?
73, 157
Solve 2*o**3/3 + 46*o**2 + 554*o - 1802/3 = 0.
-53, -17, 1
Find a such that 3*a**2 - 8499*a + 8496 = 0.
1, 2832
Find j such that j**3/4 - 942*j**2 + 889245*j - 3541924 = 0.
4, 1882
Factor -2*m**3 + 23842*m**2 - 71067040*m + 71043200.
-2*(m - 5960)**2*(m - 1)
Solve -2*n**2/3 - 14482*n/3 + 4828 = 0.
-7242, 1
Factor -q**3/5 - 67787*q**2/5 - 67784*q/5 + 135572/5.
-(q - 1)*(q + 2)*(q + 67786)/5
Solve -4*i**5/3 - 49*i**4/3 + 424*i**3/3 + 1741*i**2/3 + 136*i = 0 for i.
-17, -3, -1/4, 0, 8
Suppose 5*c**4 - 105*c**3 + 220*c**2 + 900*c = 0. Calculate c.
-2, 0, 5, 18
Factor -n**3 + 679*n**2 + 116582*n.
-n*(n - 821)*(n + 142)
Determine w so that 22119*w**3/5 + 22113*w**2/5 - 44244*w/5 + 12/5 = 0.
-2, 2/7373, 1
Factor 2*f**3 + 356*f**2 - 6082*f + 24444.
2*(f - 9)*(f - 7)*(f + 194)
Factor 4*s**3/7 + 4476*s**2 - 62676*s/7 + 31340/7.
4*(s - 1)**2*(s + 7835)/7
Determine v, given that -27*v**5 + 21087*v**4 - 63054*v**3 + 27928*v**2 + 62304*v - 49792 = 0.
-1, 4/3, 778
Factor -113569*y**3/10 - 2293959*y**2/2 + 68073*y/10 - 101/10.
-(y + 101)*(337*y - 1)**2/10
Solve -3*p**3/5 + 7233*p**2/5 - 893928*p + 26339460 = 0 for p.
31, 1190
Find z such that -17*z**5 - 63140*z**4 - 70515*z**3 + 118820*z**2 + 14852*z = 0.
-3713, -2, -2/17, 0, 1
Find v, given that -22*v**3 - 47*v**2 + 764*v + 105 = 0.
-7, -3/22, 5
Factor -2*g**3/3 - 3952*g**2/3 + 15832*g/3 - 5280.
-2*(g - 2)**2*(g + 1980)/3
Factor s**2/3 - 1874404*s/3 + 878347588804/3.
(s - 937202)**2/3
Find c such that 5*c**3 - 415*c**2 - 19345*c + 1678635 = 0.
-63, 73
Factor -4*w**2/3 - 376*w - 79040/3.
-4*(w + 130)*(w + 152)/3
Factor -5*m**4 - 655*m**3 - 19420*m**2 + 41500*m.
-5*m*(m - 2)*(m + 50)*(m + 83)
Find j such that -2*j**5/13 + 1442*j**4/13 + 7242*j**3/13 + 13054*j**2/13 + 10160*j/13 + 2904/13 = 0.
-2, -1, 726
Let -2*r**2 - 48*r - 270 = 0. What is r?
-15, -9
Find x such that 9*x**3/2 - 46982*x**2 + 323559*x/2 - 62622 = 0.
4/9, 3, 10437
What is f in 3*f**5/5 - 84*f**4/5 + 12*f**3/5 + 1650*f**2 + 23313*f/5 + 15162/5 = 0?
-7, -2, -1, 19
Factor -m**3 + 16130*m**2 - 145089*m.
-m*(m - 16121)*(m - 9)
Determine k so that -k**2/4 + 20519*k - 421029361 = 0.
41038
Factor 2*a**2 + 126584*a - 253176.
2*(a - 2)*(a + 63294)
Find n such that 3*n**5 - 1062*n**4 + 11424*n**3 - 36090*n**2 + 25725*n = 0.
0, 1, 5, 343
Factor -5*q**2 - 3807660*q - 724913733780.
-5*(q + 380766)**2
Factor x**2/9 - 19964*x/3 + 99640324.
(x - 29946)**2/9
Let 5*v**5 + 445*v**4 + 9200*v**3 - 31740*v**2 = 0. Calculate v.
-46, 0, 3
Solve -3*u**3 - 6330*u**2 - 25272*u = 0.
-2106, -4, 0
What is o in -2*o**5/5 + 512*o**4/5 - 1360*o**3 + 5268*o**2/5 + 130194*o/5 + 117612/5 = 0?
-3, -1, 9, 242
Factor r**3/4 + 122637*r**2/4.
r**2*(r + 122637)/4
Factor -2*d**4 + 22298*d**3 + 200790*d**2 + 602478*d + 602532.
-2*(d - 11158)*(d + 3)**3
Determine q, given that 35*q**5/2 - 1585*q**4/2 + 8555*q**3 - 2380*q**2 = 0.
0, 2/7, 17, 28
Factor 4*v**3/3 - 5732*v**2/3 + 45664*v/3 - 30400.
4*(v - 1425)*(v - 4)**2/3
Factor 64585*d**2 + 2518805*d - 390.
5*(d + 39)*(12917*d - 2)
Factor -2*c**3/5 - 16482*c**2/5 - 6793056*c - 6789760.
-2*(c + 1)*(c + 4120)**2/5
What is f in -3*f**2/7 - 867*f + 298224/7 = 0?
-2071, 48
Factor m**3 + 1247*m**2 + 352191*m - 23309055.
(m - 55)*(m + 651)**2
Determine x so that -5*x**5 + 4650*x**4 - 1099565*x**3 + 8574600*x**2 - 17001680*x = 0.
0, 4, 461
Factor -3*b**3 + 27594*b**2 + 27603*b - 55194.
-3*(b - 9199)*(b - 1)*(b + 2)
Determine n so that n**3 - 83*n**2 + 1056*n + 29952 = 0.
-13, 48
Suppose 2*a**4/3 - 104*a**2/3 - 64*a = 0. Calculate a.
-6, -2, 0, 8
Solve 3*n**3/5 - 3831*n**2/5 + 243456*n + 737280 = 0 for n.
-3, 640
Find o such that -381*o**5 + 3804*o**4 - 6417*o**3 - 19914*o**2 + 22548*o + 360 = 0.
-2, -2/127, 1, 5, 6
Determine z so that 2*z**5 + 104*z**4 - 4*z**3 - 208*z**2 + 2*z + 104 = 0.
-52, -1, 1
Solve -2*t**3/7 - 480*t**2/7 = 0 for t.
-240, 0
Let -82*g**3/5 - 20*g**2 + 2042*g/5 - 372 = 0. Calculate g.
-6, 1, 155/41
Factor -c**2/6 + 59*c/6 - 434/3.
-(c - 31)*(c - 28)/6
Factor -1936*l**3/3 - 5291176*l**2/3 - 240505*l/3 - 911.
-(l + 2733)*(44*l + 1)**2/3
Determine q so that -q**3 - 1746*q**2 - 88764*q - 1145144 = 0.
-1694, -26
Find n such that 3*n**5/5 + 990*n**4 + 59121*n**3/5 + 250878*n**2/5 + 432576*n/5 + 235872/5 = 0.
-1638, -4, -3, -1
Factor -3*y**5/8 + 117*y**4 - 18333*y**3/8.
-3*y**3*(y - 291)*(y - 21)/8
Solve 2*s**2/7 - 1314*s/7 - 7956/7 = 0.
-6, 663
Find f such that -20*f**5 + 172980*f**4 - 374112485*f**3 + 373982760*f**2 - 93484880*f = 0.
0, 1/2, 4324
Suppose -2*c**2/3 + 254*c/3 - 1484 = 0. Calculate c.
21, 106
Factor 3*g**3/7 - 2874*g**2/7 - 11532*g/7 - 11544/7.
3*(g - 962)*(g + 2)**2/7
Suppose j**3 + 29*j**2 - 865*j - 893 = 0. Calculate j.
-47, -1, 19
Factor 4*b**3 - 37408*b**2 + 448464*b - 1344960.
4*(b - 9340)*(b - 6)**2
Factor 2*h**2/13 + 82*h/13 - 4884/13.
2*(h - 33)*(h + 74)/13
Solve -4*j**5 + 27578*j**4/5 + 113398*j**3/5 + 11064*j**2/5 = 0.
-4, -1/10, 0, 1383
Solve 2*j**2/7 - 6316*j/7 + 100544/7 = 0.
16, 3142
What is j in 3*j**4 + 588*j**3 + 11430*j**2 - 87276*j + 75255 = 0?
-173, -29, 1, 5
Solve s**2 - 159*s + 2898 = 0 for s.
21, 138
Factor s**2/4 + 7317*s/2 + 7316.
(s + 2)*(s + 14632)/4
Factor 5*r**2 - 1928460*r + 185947898580.
5*(r - 192846)**2
Factor -2*y**2 - 20812*y + 124944.
-2*(y - 6)*(y + 10412)
Determine a so that 3*a**4 - 199*a**3/3 + 464*a**2 - 832*a - 4096/3 = 0.
-1, 64/9, 8
Suppose -3*z**3 + 1482459*z**2 - 183141131784*z + 183139649328 = 0. What is z?
1, 247076
Factor -2*a**2/7 + 136*a/7 + 6666/7.
-2*(a - 101)*(a + 33)/7
Determine h so that -h**5/2 - 423*h**4/2 + 1505*h**3 = 0.
-430, 0, 7
Factor 4*b**4 + 112*b**3 - 2696*b**2 + 15792*b - 26460.
4*(b - 7)**2*(b - 3)*(b + 45)
Factor -2*j**2/13 + 215782*j/13 - 647328/13.
-2*(j - | {
"pile_set_name": "DM Mathematics"
} |
.
10
Solve 5*f - 4*d = -27, -651*f = -650*f + 15*d - 42 for f.
-3
Solve -3*h - 23 = -8478*a + 8482*a, -2*h + 3*a + 13 = 0 for h.
-1
Solve 3*p + 21 - 45 = 5*g - 16 - 35, -g + 7 = -p for p.
-4
Solve 59*c - 2*g - 179 = 63*c - 129, 5*c - 4*g = -30 for c.
-10
Solve -4*r + 16 = -172*u + 169*u, 4*u = 5*r - 22 for u.
-8
Solve -487*j + 26 = -18*a - 480*j, 5*a - 2*j + 3 = -4 for a.
-3
Solve -6*v = 6*f - 3*f + 9, 27 - 2 = 3*v + 13 for f.
-11
Solve -2*v = -3*q - 9, 4*v - 68 = 52378*q - 52382*q for v.
12
Solve 0 = 1653*i - 1657*i + 4*v - 16, -11 - 25 = 9*i + 2*v for i.
-4
Solve 39 = -2*a + 5*a - s, -8031 = 3*a - 4*s - 8079 for a.
12
Solve 4*d + 6 = 3*k, 102*k - 7908*d + 7905*d = -50*k - 894 for k.
-6
Solve -4*y - 412*w + 29 = -194*w - 213*w, 15 = -9*y + 4*w + 4 for y.
1
Solve -343*s - 28 = -680*s + 340*s - 4*i, 0 = 9*s - 5*i - 2*i + 64 for s.
-4
Solve 5*b - 3 = 3*o - 8, 7*o - 2 = -3*b - 5 for o.
0
Solve -9 = 9072*w - 9075*w, 4*w - 41 = -k for k.
29
Solve -3*s + 92*x + 296729 = 297168, -x = -5 for s.
7
Solve -5*y = -u - 88, -y + 1417*u = 1405*u - 879 for y.
3
Solve 9*m - 12*m = 100*j - 2515, 0 = 2*j - 2*m - 40 for j.
25
Solve 303 = 6*l - 5714*b + 5717*b, -250 = -5*l - 5*b for l.
51
Solve 0 = 12*l - 4*f + 88, -l - 5 = -1290*f + 1292*f for l.
-7
Solve 0 = 18875*p - 18876*p - 3*m - 47, 5*p = 2*m - 184 for p.
-38
Solve 0 = -177*a - 3*w + 312, -145*a - 14 = -148*a + w + 6 for a.
2
Solve 217564*y = -3*l + 217562*y - 6, -3*y + 13 = -l for l.
-4
Solve -p - 183446 = 5*y - 3*p - 183721, 0 = -5*y - 10*p + 215 for y.
53
Solve -121 = 2*l - 37*y + 39*y - 97, -21 = 3*y for l.
-5
Solve 0 = -743*v + 1483*v - 744*v - 12, 5*v = 7*b - 50 for b.
5
Solve 6*k = -4*i - 34, -k = -5*i - 883305 + 883271 for k.
-1
Solve -3*k = -26*z - 93, 3*z - 229 = -k - 233 for z.
-3
Solve 4*l + 18*j + 30 = 2*l, -10*j - 2 = -4*l - 15*j for l.
3
Solve -2*g + 3*g - 992*n + 988*n = 50, -7*g = -0*n + 5*n + 46 for g.
2
Solve 173895*i - 4 = 173894*i, 7*w - 2*i - i - 44 = 0 for w.
8
Solve -7*k - 37 = -4*m - 8, 4*k + 38 = -2*m for k.
-7
Solve 4*q + 56 = -2657*n + 2653*n, 0 = 5*q - 4*n + 12 + 13 for q.
-9
Solve 1158*h = -2*n + 1157*h - 8, 0 = -2*n + 2*h - 14 for n.
-5
Solve -4*y = -3*w - 12, 5*w - 102414 = 5*y - 102434 for w.
-4
Solve -l - 8 = -3*y, 185*y + 59 = -5*l + 219*y for l.
-5
Solve 10*p + 5*n + 9 = -4 + 5 - 47, 0 = 7*p - 5*n - 89 for p.
2
Solve 0*h - h - 1320 = 4*l - 1328, 26 - 2 = 7*l + 3*h for l.
0
Solve 4*q + 2*l + 8 = 0, 2*l = 7*q + 2239 - 2225 for q.
-2
Solve -o = 4*x - 2*o - 5, 4*o + 908 = 37*x + 846 for x.
2
Solve h + 8*p - 10*p - 21 = 0, 5*h + 451 = -77*p - 314 for h.
1
Solve 4*p = 2*v - 32, 259*p + 155 = 264*p + 5*v for p.
5
Solve 4*g - 132 = -4*t, 4*t - 3*g = 5*t - 4*g + 21 + 4 for t.
4
Solve 31 = 4*q - 3*w, 2*w + 1886 = 3*q + 1862 for q.
10
Solve -5*u - 3*z - 89 + 54 = -3*u, 5 = -u + z for u.
-10
Solve 3*h + 4 = -8*b, 0 = -14*b + 4*h - 11*h + 11*h - 0 + 30 for b.
1
Solve -y + 27 = -0*f + 4*f, -2*f - 9444*y = -9449*y + 3 for f.
6
Solve 2*n = -4*f + 7 - 17, 0 = -5*n - 4*f - 1 for n.
3
Solve 3*a = -v - 16, -18*a + 20*v - 201 = 19*v - 70 for a.
-7
Solve -9 = -2509*f + 2506*f - 2*u, -4*u + 15 = 5*f for f.
3
Solve -x + 5*w + 79 = 0, 25*x - 269 = 22*x - 16*w + 33*w for x.
-1
Solve 58*w + 3*m = 57*w - 3 - 23, 3*m - 10 = -w + 4*m for w.
1
Solve 2*k + y = 57 + 15 - 85, -2*k + 17 = -5*y for k.
-4
Solve -79*c + 40*c + 35*c = 2*i - 20, 11*c - 41 = -2*i for c.
3
Solve -3*u + 187 = 130*l - 135*l, 4*l + 86 = 2*l + 4*u for l.
-35
Solve -5*j = -2*r + 117, -893 + 781 = -2*r + 6*j for r.
71
Solve 6*a + 5*f - 16 = 7*a, 3*a - 44*f = -42*f - 35 for a.
-11
Solve -6*i = 2422*l - 2420*l - 44, 4*l = -5*i + 46 for i.
6
Solve -3*z - 3*w - 5297 = -2575 - 2623, -3*z - 74 = -2*w for z.
-28
Solve 0 = 11*m + 3*x - 111, 649 - 592 = 5*m + 3*x for m.
9
Solve -7*y - 43 = -2*t, -5*y - 57*t - 183 = y - 3*y - 67*t for y.
-1
Solve -4*y + 55280 = o + 55315, 0 = -3*y + 5*o - 9 for y.
-8
Solve 8*u = -4*o - u + 416 - 362, 39 = 5*o - 3*u for o.
9
Solve -2*z = -5*y + 402 - 443, 883 = -446*z + y for z.
-2
Solve -j + 24 = -86*h + 84*h, 4*j + h - 72 = 6 for j.
20
Solve 1357*y + u - 7 = 1358*y, -5*y + u - 33 = -3*u for y.
-5
Solve -2*n + 2*v - 34 = 0, 5*n - 17019*v + 16913*v + 1903 = 0 for n.
1
Solve -150 = 4*w + 11*s, 315*s - 313*s - 47 = w for w.
-43
Solve 18*t + 3*c - 224 = 14*t, -1352*t + 1365*t - 4*c = 783 for t.
59
Solve -5*r + 9*p = 2*p + 9*p + 4*p - 127, 0 = 2*r - 12*p + 194 for r.
5
Solve 59*t - 63*t = 2*k + 14, 24*k + 4*t = 8 for k.
1
Solve -6*r - 29*y - 31*y = -56*y - 62, r - 17*y = -25 for r.
9
Solve 2629*t - 2624*t - 5*k = 15, -5*t = -6*k - 13 for t.
5
Solve 126 = a + 3*h + 123, a = -4*h + 1 for a.
9
Solve 104 = 5*p + 4*v, 113*p + v - 13 = 115*p for p.
4
Solve -5*f = -5*r - 14 - 86, -964*f - 36 = -965*f + 5*r for f.
16
Solve -3*k = 2*c - 49, 837*c - 832*c = -266*k + 5034 for c.
-4
Solve 2*d + 18 = -2*v, -156*v - 2*d = -155*v + 18 for v.
0
Solve 2*q + 36 = q + p, 6426773 = -27*p + 6427691 for q.
-2
Solve 0 = v + 2*j, 391937*j - 391934*j = -3*v - 3 for v.
-2
Solve j + 0*j + 2 = -0*j - 1, 4*b - 3*j = 3*j + 10 for b.
-2
Solve 2*y = -5*w - 34, w = -33*y + 15358 - 15430 for w.
-6
Solve -3*k = -6*x - 15, 5*x - 50 + 64 = -122*k + 124*k for k.
-3
Solve -4*x - 7 = o, 18*o = -15182*x + 15186*x - 50 for x.
-1
Solve 4*n - 240 = 2*j - 6*j + 4, 0 = -j + 33*n + 129 for j.
63
Solve 2*s + z = -15, 461*z + 462*z + 35 = -5*s - 454*z + 1374*z for s.
-10
Solve 5*w + 106955*t + 25 = 106956*t, 0 = 3*w - 3*t - t + 15 for w.
-5
Solve 0 = -2*h - 3*v - 33, -266*h - 263*h - 5*v = -534*h - 20 for h.
-9
Solve 0 = -3*c - 0*c + 9, 5*c = 713*t + 6*c - 2*c + 3457 + 111 for t.
-5
Solve 182*k = 4*b + 178*k + 136, 3*k + 270 = -8*b - 24 for b.
-36
Solve 5*y - 43*v = -12*v + 2, 1807*y - 1811*y - 46 = -v for y.
-12
Solve -6*t = -18*v - 198, 38*t + 71 = -5*v + 42*t - 26 for v.
-5
Solve -3*n - 4*d - 13 = 0, 4*n - 1302*d + 654*d - 20 = -644*d for n.
1
Solve 28 = -4*u + 5*s, 5*u - 23 + 2 = 2*s - 14 - 8 for u.
3
Solve 0 = -4*u - 4*i - 40, 40*u = 22*u + 6*i - i - 111 for u.
-7
Solve -5*i - 4*w - 110 = 0, -19*w + 18*w - 32 = 10*i - 11*i for i.
2
Solve -2*i - 4*z - 720 = -714, -3*z + 63 = 24*i for i.
3
Solve 9 = 2*h + 94*f - 95*f, 66*f - 216 = -3*h for h.
6
Solve 8*h - 785*v + 395*v = -395*v + 5, -2*h + 4*v = 9*v - 5 for h.
0
Solve 0 = -3*r - 3*k - 30, 256*r = 260*r - 3*k + 61 for r.
-13
Solve -409*f = 3*x - 429*f - 77, -20 - 4 = 4*x + 5*f for x.
-1
Solve 4*h + 153 - 309 = 4*q - 5*q - 154, 0 = -h - 3*q + 6 for h.
0
Solve -3*m - 999*v + 97 = -1003*v, -4*m - v + 123 = 0 for m.
31
Solve l + 28*p + 648 = 0, 9 + 103 = -2*l - 3*l - 11*p + 7*p for l.
-4
Solve -59*y + 58*y + 5 = o, -12*y - 8*y + 52 = -4*o for y.
3
Solve -5*f = 2*u - 279 + 313, 51 = -3*u + f for u.
-17
Solve 3*f - 85 = -1813*h + 1860*h, 4*h + 5 = f for h.
-2
Solve -15*d + 149 = -4*a - 20*d + 42*d + 34*d, 343*a - 344*a = 2*d - 22 for a.
16
Solve -2*c - 4 = -a, 237996 = 10*a + 4*c + 238028 for a.
-2
Solve -169630*f + 169627*f - 48 = -d, 3*d = -2*f - 43 for d.
-3
Solve -57*t - 3*v - 129 = 0, 26*t - 22*t - v + 63 + 30 = 113 for t.
-1
Solve -9*n - 20 = -29*n + 24*n, 28 = w - n for w.
23
Solve -541 = 18*m - 4*h + 486 - 415, 2*m + h - 34 = -102 for m.
-34
Solve -67360*i - 5*a - 3 = -67359*i, i - 3*a = -43 for i.
-28
Solve -t + l - 33719 = 6*l - 33654, -2*t + 8*l - l + 74 = 0 for t.
-5
Solve 92*g - 2*c = 2120, -4*c = -3*g + 14 + 63 for g.
23
Solve -343*s + 174*s + 3 = -172*s - 3*z, 2*z - 9 = 5*s + 7 + 24 for s.
-6
Solve 113*u - 121*u + 5*q + 68 = 0, 0 = -q + 4 for u.
11
Solve 0 = 50*r - 52*r - 39*l - 52, 2*l + 16 = 2*r + 7*l for r.
13
Solve 19 = -j + 2*j - q, -59*j - 139 = -10*q + 11*q for j.
-2
Solve 48*v = 51*v - c + 5, -2*c = 22*v + 130 for v.
-5
Solve -4*r = 4*n - 12, 81558*r - 9 = 81555*r - 4*n for r.
3
Solve 1246 = 32*q + 26*a + 1058, -q = a - 7 for q.
1
Solve 20*j - 6*j = 4*f + 3*j + 7*j + 68, -2*j + 51 = 15*f for f.
1
Solve 0 = 5*i + 2*m - 58, 4*i + 123 = 4*m + 68 + 107 for i.
12
Solve -375*q = 2*u - 1422, -4*q = -5939*u + 5941*u + 62 for u.
-39
Solve -154*v + 75 + 15 = 5*u - 159*v, -5*u + 170 = -21*v for u.
13
Solve -6 = -4*u + 6*a, -6596*u = -6597*u - 4*a - 15 for u.
-3
Solve 3*v - 2*n = -8, -677*v + 921*n = 922*n + 4067 for v.
-6
Solve 3*k = 5*z - 183, -k - 13 = -z - 8 + 30 for z.
39
Solve 43*l = -3*b + 46*l | {
"pile_set_name": "DM Mathematics"
} |
0.00000168877
What is 12/25 of a millimeter in micrometers?
480
Convert 7.055058 millimeters to kilometers.
0.000007055058
How many microseconds are there in twenty-nine fifths of a millisecond?
5800
What is five quarters of a meter in centimeters?
125
How many centimeters are there in 7.471689 millimeters?
0.7471689
What is 91.50111 milliseconds in minutes?
0.0015250185
Convert 8638.977 months to years.
719.91475
How many minutes are there in thirteen quarters of a hour?
195
What is 36.3888 millilitres in litres?
0.0363888
What is 155775.5 milligrams in grams?
155.7755
How many litres are there in 59.14836ml?
0.05914836
What is 24843.16 grams in tonnes?
0.02484316
What is 898680.3 centuries in years?
89868030
What is 7/2 of a meter in millimeters?
3500
How many millimeters are there in one fifth of a meter?
200
How many micrometers are there in 7/2 of a millimeter?
3500
Convert 370.7288 millilitres to litres.
0.3707288
How many millilitres are there in eighteen fifths of a litre?
3600
Convert 47.2678 nanograms to milligrams.
0.0000472678
What is 968.187l in millilitres?
968187
Convert 2046.224 centuries to decades.
20462.24
What is 7108839.99 seconds in weeks?
11.754034375
What is 11/10 of a kilogram in grams?
1100
How many millilitres are there in 8812.591l?
8812591
What is fourty-two fifths of a minute in seconds?
504
Convert 237.7132ml to litres.
0.2377132
How many millilitres are there in 3/40 of a litre?
75
How many years are there in 356768.8 decades?
3567688
How many kilograms are there in 3/5 of a tonne?
600
What is three fifths of a litre in millilitres?
600
What is 15/4 of a decade in months?
450
Convert 2.354856 millilitres to litres.
0.002354856
What is 13/4 of a litre in millilitres?
3250
What is 3/10 of a gram in milligrams?
300
What is 3.379268 years in decades?
0.3379268
What is 6/5 of a millennium in years?
1200
How many milligrams are there in three tenths of a gram?
300
How many grams are there in 27623.2t?
27623200000
How many milliseconds are there in six fifths of a minute?
72000
What is three fifths of a microgram in nanograms?
600
What is thirteen quarters of a gram in milligrams?
3250
What is 985.8795 nanometers in kilometers?
0.0000000009858795
What is 869.3203 millennia in centuries?
8693.203
What is one fifth of a millimeter in micrometers?
200
Convert 6.373732 nanometers to micrometers.
0.006373732
What is one fifth of a litre in millilitres?
200
How many days are there in 522.50625 minutes?
0.3628515625
What is six fifths of a centimeter in micrometers?
12000
What is 7972.316 grams in micrograms?
7972316000
Convert 0.9106817 litres to millilitres.
910.6817
What is 45/8 of a kilometer in meters?
5625
What is 37/2 of a litre in millilitres?
18500
How many millilitres are there in 31/5 of a litre?
6200
How many millilitres are there in eleven quarters of a litre?
2750
What is twenty-nine fifths of a millisecond in microseconds?
5800
How many hours are there in thirty-one sixths of a week?
868
What is 43/2 of a kilometer in meters?
21500
How many millilitres are there in 3185.42 litres?
3185420
What is 0.4875735 millennia in centuries?
4.875735
How many grams are there in 8.359202 tonnes?
8359202
How many minutes are there in 21/5 of a week?
42336
How many seconds are there in 68/3 of a hour?
81600
How many millilitres are there in one quarter of a litre?
250
What is one tenth of a centimeter in micrometers?
1000
What is 1/4 of a century in months?
300
Convert 99.35643ns to milliseconds.
0.00009935643
What is 44.7955ng in micrograms?
0.0447955
How many millilitres are there in 24596.05l?
24596050
Convert 2.447778 kilograms to milligrams.
2447778
What is one twentieth of a litre in millilitres?
50
What is 3/8 of a litre in millilitres?
375
How many millimeters are there in 3/5 of a centimeter?
6
How many weeks are there in 10865.64213ms?
0.000017965678125
How many seconds are there in 1/4 of a hour?
900
How many minutes are there in 0.7199272 weeks?
7256.866176
Convert 7023.921 nanoseconds to minutes.
0.00000011706535
How many minutes are there in seven quarters of a hour?
105
What is 55033.04 nanometers in kilometers?
0.00000005503304
How many micrometers are there in 13/5 of a centimeter?
26000
How many micrometers are there in eighteen fifths of a centimeter?
36000
How many nanograms are there in 43/4 of a microgram?
10750
What is 3/5 of a millennium in months?
7200
How many kilometers are there in 160.9986nm?
0.0000000001609986
How many micrometers are there in 4.494839nm?
0.004494839
Convert 27912.91 litres to millilitres.
27912910
Convert 6.037496kg to tonnes.
0.006037496
How many months are there in 45.82513 years?
549.90156
Convert 872027.6 micrometers to millimeters.
872.0276
Convert 161728.2l to millilitres.
161728200
What is 0.2537842 millilitres in litres?
0.0002537842
Convert 545378.5 minutes to microseconds.
32722710000000
How many millilitres are there in 0.8519911 litres?
851.9911
How many days are there in 8/7 of a week?
8
How many grams are there in 3691.746 tonnes?
3691746000
What is 847.5532 milligrams in nanograms?
847553200
What is 12/25 of a litre in millilitres?
480
How many years are there in 34/5 of a millennium?
6800
What is 0.5061338ml in litres?
0.0005061338
What is 67/5 of a microgram in nanograms?
13400
Convert 53.9804 seconds to nanoseconds.
53980400000
What is twenty-five halves of a meter in millimeters?
12500
What is 57.2065 grams in kilograms?
0.0572065
What is seven eighths of a litre in millilitres?
875
Convert 79.23296 litres to millilitres.
79232.96
What is twenty-one halves of a litre in millilitres?
10500
How many millilitres are there in 2.684796l?
2684.796
Convert 767.9123 litres to millilitres.
767912.3
How many millilitres are there in 1/20 of a litre?
50
What is 386.2989 micrograms in grams?
0.0003862989
How many seconds are there in 3/16 of a hour?
675
What is 4/7 of a week in days?
4
What is 17961.38442s in weeks?
0.02969805625
Convert 0.8614045ml to litres.
0.0008614045
Convert 119.7860832us to weeks.
0.000000000198059
What is 3/25 of a centimeter in micrometers?
1200
What is fifteen quarters of a century in months?
4500
What is 34/5 of a litre in millilitres?
6800
How many millilitres are there in sixty-nine halves of a litre?
34500
What is 15/16 of a century in months?
1125
How many centuries are there in 989.2004 decades?
98.92004
Convert 411.3288l to millilitres.
411328.8
What is five quarters of a milligram in micrograms?
1250
What is thirteen fifths of a meter in millimeters?
2600
Convert 45.82376 millilitres to litres.
0.04582376
How many millennia are there in 13.95212 years?
0.01395212
What is twenty-eight thirds of a hour in seconds?
33600
What is 0.7762216 centuries in years?
77.62216
How many months are there in seven quarters of a millennium?
21000
What is 933.8176 micrograms in milligrams?
0.9338176
What is 1/4 of a microgram in nanograms?
250
How many microseconds are there in seven quarters of a millisecond?
1750
How many grams are there in 272.8108kg?
272810.8
What is 3/8 of a litre in millilitres?
375
How many millilitres are there in one tenth of a litre?
100
How many hours are there in five quarters of a day?
30
Convert 32478.73 weeks to milliseconds.
19643135904000
How many minutes are there in 254080.05 nanoseconds?
0.0000042346675
How many millilitres are there in 1/10 of a litre?
100
Convert 0.6135427 weeks to hours.
103.0751736
How many months are there in 11/2 of a century?
6600
How many millimeters are there in 219425.2 centimeters?
2194252
What is 0.2272142 nanometers in meters?
0.0000000002272142
How many millilitres are there in 3741.711 litres?
3741711
How many nanoseconds are there in thirteen quarters of a microsecond?
3250
Convert 4.864325cm to meters.
0.04864325
What is 0.150443 days in nanoseconds?
12998275200000
What is twenty-one halves of a tonne in kilograms?
10500
How many microseconds are there in 1/20 of a second?
50000
How many centimeters are there in seven quarters of a meter?
175
What is thirteen quarters of a centimeter in micrometers?
32500
How many microseconds are there in 26/5 of a millisecond?
5200
What is fourty-four fifths of a millisecond in microseconds?
8800
What is 41/2 of a meter in millimeters?
20500
Wha | {
"pile_set_name": "DM Mathematics"
} |
/(-36)).
3, 5, 59
Let p(q) = q**2 + 28*q + 57. Let y be p(-26). Let u(f) = -93*f - 4. Let a(k) = -31*k - 1. Let v(h) = 8*a(h) - 3*u(h). What are the prime factors of v(y)?
3, 53
Let d = 7382 - -48293. What are the prime factors of d?
5, 17, 131
Suppose -c = -3*u + 44635, 440*c = -2*u + 443*c + 29745. List the prime factors of u.
2, 3, 5, 31
Let h(k) be the first derivative of 16*k**2 - 409*k - 146. What are the prime factors of h(44)?
3, 37
Let k(p) = -2*p**2 - 2*p + 4. Let i be k(-2). Suppose 2*c + v = -i*c + 2, 0 = 3*v + 6. Let o(x) = 2*x**3 - 3*x**2 + 6*x - 3. List the prime factors of o(c).
13
Suppose 111*y = -171*y + 2898960. List the prime factors of y.
2, 5, 257
Suppose 0 = 12*y + 256*y - 9188721 - 14195351. What are the prime factors of y?
2, 43627
List the prime factors of (-3 - -21)/(-108) + (-1293988)/(-24).
2, 3, 4493
Suppose -8*w + 9*w - 102 = -2*x, 4*w = 4*x + 348. Suppose -5*i + 32 - 7 = 0. Suppose -i*t + w = -53. List the prime factors of t.
29
List the prime factors of -17763*(-32)/48*(-2)/(-4).
31, 191
Let k be 4/(-18) + -130*4/(-72). Suppose k*r - 1737 = 174. What are the prime factors of r?
3, 7, 13
Suppose 26*c - 179143 = 348345. List the prime factors of c.
2, 317
Let y = 47255 - 24355. What are the prime factors of y?
2, 5, 229
Suppose 4*w = 4*p - 44592, -p - 5*w - 4343 = -15473. What are the prime factors of p?
3, 5, 743
Let k = 53074 + -21239. List the prime factors of k.
5, 6367
Let p(a) = -143*a + 4. Suppose 52*c - 4 = 56*c. Let g be p(c). Let y = g + -5. List the prime factors of y.
2, 71
Suppose 0 = 5*b + i - 198908, 5*b - 4*i = 132876 + 66017. List the prime factors of b.
7, 5683
Let i(q) = 63*q**2 + 2*q - 3. Suppose 4*v = -2*j + 44, -5*v = -7*v + 10. Suppose 0*w = 12*w - j. What are the prime factors of i(w)?
2, 31
Suppose -2*p + 14 = -82. Let m = 84 - p. List the prime factors of m - (3/2)/(21/(-28)).
2, 19
Let t = 16 + -14. Let u(l) = -8 - 2 + l**2 - 2 + t. What are the prime factors of u(-12)?
2, 67
Let h = 100505 + -51773. List the prime factors of h.
2, 3, 31, 131
Let n(r) = -19*r + 3. Let j(z) = -20*z + 2. Let p(w) = 5*j(w) - 4*n(w). Let y be p(-1). Suppose f + y = 201. List the prime factors of f.
179
Let m = 36 - 34. Let a be ((-3)/m)/((-2)/(-4)). What are the prime factors of 198 + (-1 - -2) + a?
2, 7
List the prime factors of 555/(-6105) + (356908/(-11))/(-2).
16223
Suppose -38*g - 9300 = -50*g. Suppose 27*j + g = z + 22*j, -2*j + 3056 = 4*z. What are the prime factors of z?
3, 5, 17
Let q be (-76921)/(-117)*-3 - (-1)/3. Let a = -658 - q. What are the prime factors of a?
2, 3, 73
Let i = 19090 + -2779. What are the prime factors of i?
3, 5437
Let h(z) = -69*z + 416. Let i be h(6). Suppose -4515 = -5*d + 4*q + 3696, -5*d + 8203 = -i*q. List the prime factors of d.
11, 149
Suppose 3*s - 16556 - 30945 + 14264 = 0. List the prime factors of s.
3, 1231
What are the prime factors of (-343)/336*-7856 + (-3)/((-9)/(-2))?
3, 11
Let v = 587 + -1571. Let l = 1492 + v. What are the prime factors of l?
2, 127
Suppose -5*u - 4*v + 15959 = -154687, -4*u + 136476 = -7*v. What are the prime factors of u?
2, 113, 151
List the prime factors of (407/74)/(3/2364).
2, 11, 197
List the prime factors of ((-56091)/(-6) - 0)*50/175.
2671
Suppose -a = -44 - 32. What are the prime factors of 25403/a - (-1)/(-4)?
2, 167
Suppose 3*k + 135 - 105 = 0. List the prime factors of 2880/100 + (-2)/k.
29
Let u be -2 + 4 + -3 + 1. Suppose 2*q + u = 4*h - 2, 3*q + 5*h = -25. What are the prime factors of (19/2 - 0)*(-3 - q)?
19
Let r be 1*-13*(0 + 2/(-2)). Suppose -4*s - 10 = 3*p + 2*p, 3*s = -p - r. List the prime factors of p.
2
What are the prime factors of (61321/26)/(2/28)?
7, 53, 89
Let z = -1610 + 5169. List the prime factors of z.
3559
What are the prime factors of 4/30*865*51?
2, 17, 173
Suppose 32*g - 313104 = -16*g. List the prime factors of g.
11, 593
Let v(b) = 21*b**2 + 1332*b - 16. What are the prime factors of v(-70)?
2, 2411
Let f(h) = -2*h**2 - h + 2. Let a be (-5)/(-15)*0/(-1)*1. Let o be f(a). Suppose 3*w - 3*p = -p + 108, -4*p + 88 = o*w. List the prime factors of w.
2, 19
Let m(x) = 5*x**3 + x**2 - x. Let k = 30 - 29. Let v be m(k). Suppose -3*p + v*p - 28 = 0. List the prime factors of p.
2, 7
Suppose 3*m + 18361 = 4*l - 25505, 2*l - 21966 = -4*m. What are the prime factors of l?
3, 23, 53
Suppose 2*r + 2*k = -84, 0 = r - 19*k + 16*k + 34. What are the prime factors of 15/(2/(-10)*10/r)?
2, 3, 5
Suppose 125*i - 1986363 = 1534012. List the prime factors of i.
28163
Let k be (-423)/(-188)*(-4)/(-3). Suppose 4*g - 3139 = -2*b - b, -5*b - k*g + 5250 = 0. List the prime factors of b.
3, 13
Let g = 93 - 93. Let i = g + 493. What are the prime factors of i?
17, 29
Let u(v) = 18*v + 87. Let a(r) = 39*r + 175. Let t(s) = 4*a(s) - 10*u(s). List the prime factors of t(-42).
2, 419
Let n(z) = z**3 - 20*z**2 - z + 23. Let s be n(20). Suppose 13*u - 2780 = s*u. What are the prime factors of u?
2, 139
Suppose 15*n = 4881 + 37344. What are the prime factors of n?
5, 563
Suppose 691*l = 607*l + 4573128. List the prime factors of l.
2, 163, 167
Let c = -10249 + 38529. What are the prime factors of c?
2, 5, 7, 101
Let q(w) = -111*w + 15. Let d be q(4). Let x = d + 1425. What are the prime factors of x?
2, 3, 83
Let n be -6*((-11)/2 - -5). Suppose -4*s = 4*y - 8, -n*y - 3*s = 2*y - 6. Suppose q + 339 = 2*z - y*z, 5*q = 5*z - 845. List the prime factors of z.
2, 5, 17
Let b = 47 - 32. Let s be 30/25*b/(-2). List the prime factors of -2 - -2 - -3*(-222)/s.
2, 37
Suppose 0 = -6*f - 1754 - 316. Let r = f + 530. List the prime factors of r.
5, 37
What are the prime factors of (9 + 12/(-1))/(1/(-2109))?
3, 19, 37
Suppose 0 = 5*v - 2*j - 174, v + v - 84 = -4*j. Let i = v + -54. Let t = i + 79. List the prime factors of t.
61
Let i = 7115 + -1736. What are the prime factors of i?
3, 11, 163
Let w = 97711 - 57775. What are the prime factors of w?
2, 3, 13
Let a = -2533 - -2501. Let k(l) = -8*l. Let c be k(-5). Let u = c - a. List the prime factors of u.
2, 3
Let j = 658 - 413. Suppose -3*v + 506 = 2*s, -3*v + s + 258 = -j. List the prime factors of v.
2, 3, 7
Let o(r) = -70*r + 13. Let z(w) = 211*w - 38. Let n(a) = 8*o(a) + 3*z(a). What are the prime factors of n(1)?
3, 7
Suppose -2*p - p + 38921 = 1043. List the prime factors of p.
2, 59, 107
Let j(b) = b**2 - 2. Let f = 15 - 13. Let a be j(f). List the prime factors of (4/(-16))/(a/172)*-2.
43
Suppose -10*m - 362700 = -25*m - 24*m. What are the prime factors of m?
2, 3, 5, 31
Let m(d) = d**2 - 32. Let f be m(-8). What are the prime factors of (-8)/(-2) - (f - 99)?
71
Let m = 114 - 65. Let y = m + -45. Suppose -2*d + 3*q - 5*q = -128, -4*q = -y*d + 232. What are the prime factors of d?
61
Suppose -2*j + 17401 + 1571 = -5*b, 4*j + 4*b = 38028. What are the prime factors of j?
3, 3167
Suppose 3*t + 5*g = -148, 150 - 54 = -2*t - 4*g. Let s = -47 - t. What are the prime factors of (-6)/s*((-204)/2)/1?
2, 17
Suppose -32 = -4*k + 5*i, -2*i + 16 = 4*k - 3*i. Suppose -82 = -k*a + 98. What are the prime factors of 1*a + (-36)/9?
2, 7
Let h be 1 + (-1 - 0) - 40. Let s be (50/h)/((-1)/(-12)). List the prime factors of (-4 + 16)/((-1)/s).
2, 3, 5
Let u = 435 - 177. Let l = u - 189. List the prime factors of l.
3, 23
Let s(w) = -74*w + 546. What are the prime factors of s(-45)?
2, 3, 17, 19
Let a(q) = -2*q - 53. Let l be a(6). Let r = l - -255. List the prime factors of r.
2, 5, 19
Let b(x) = 45*x**2 - 391 - 22*x**2 - 7*x**2 - 15*x**2 + 23*x. List the prime factors of b(-59).
1733
List the prime factors of 1/(-3)*(-44 + -12559).
4201
Let c(b) = -11*b**2 - 37*b + 1. Let x be c(-9). Let y = -184 - x. List the prime factors of y.
373
Let m = -12 - -21. Suppose 0 = m*x - 8*x. Suppose -o + 3*n + 54 = x, -o - 3*n + 75 = n. What are the prime factors of o?
3, 7
Let d = -362 - -645. Suppose d = g - 4*c, g - 2*c + 92 = 373. What are the prime factors of g?
3, 31
Suppose 5*c - 3388 = c - 2*n, -2*c + 2*n + 1694 = 0. Let i = -6 + c. What are the prime factors of i?
29
Suppose -8*h + 23*h - 369943 = -26*h. What are the prime factors of h?
7, 1289
Let f(s) = -s**3 - 13*s**2 - s - 10. Let r = -1 + -12. Let d be f(r). Suppose d*h - 45 = -2*m + 5*m, -3*m + 91 = 5*h. What are the prime factors of h?
17
Suppose -6*k + 26 = | {
"pile_set_name": "DM Mathematics"
} |
+ 76899*z**3 - 11522*z**2 + z - 26 wrt z?
-900*z**2 - 24*z + 461394
Find the first derivative of 620*m**2*r + 23*m*r**2 + 18022*r**2 wrt m.
1240*m*r + 23*r**2
Find the first derivative of -161059*x**2 + x + 84004 wrt x.
-322118*x + 1
Find the third derivative of -103*v**5 + 517*v**3 + 1856*v**2 - 144*v wrt v.
-6180*v**2 + 3102
What is the derivative of -i**2*n - 36744*i**2 + 2*i*n - 387387*n wrt i?
-2*i*n - 73488*i + 2*n
Find the third derivative of -24966*l**3 + 3415*l**2 - 2 wrt l.
-149796
Differentiate 506119*o + 532531 wrt o.
506119
Differentiate -41154*d*v - 8924*d wrt v.
-41154*d
What is the second derivative of 197699*l**3*z - 2*l**3 - l**2*z + 2*l*z + 182*l - 7*z + 2 wrt l?
1186194*l*z - 12*l - 2*z
What is the derivative of -19727*b**3 - 3*b - 41180?
-59181*b**2 - 3
Find the second derivative of 74*i*s**2*t - 2*i*s*t + 11*i*s + 91*i + 996*s**2*t - 8*s**2 + 21*s*t - 5*t - 2 wrt s.
148*i*t + 1992*t - 16
Find the third derivative of 2*f**2*l**2*z - 849*f**2*l*z**3 + f**2*l*z - f*l + 18*l**2*z**3 + 3797*l**2*z**2 - 2*l**2 wrt z.
-5094*f**2*l + 108*l**2
Find the first derivative of -17188*c*k**3*w**2 + c*k**3 + 285*c*k**2 - k**3 + 5*k**2 + 5*w**2 wrt w.
-34376*c*k**3*w + 10*w
Find the third derivative of -12244*z**5 + 4*z**4 - 4*z**3 - 133451*z**2 + z + 2.
-734640*z**2 + 96*z - 24
What is the derivative of -3821*l**4 + 2*l**2*x - 10402*x wrt l?
-15284*l**3 + 4*l*x
What is the third derivative of -170473*l**4 - 4*l**3 + 2*l**2 - l + 54145?
-4091352*l - 24
What is the second derivative of -y**4 - y**3 + 6714*y**2 - 29853*y + 2 wrt y?
-12*y**2 - 6*y + 13428
Find the second derivative of 742238*q**3 + 4*q + 15594 wrt q.
4453428*q
What is the first derivative of -s**3 + 2*s**2 - 75260*s + 1114096 wrt s?
-3*s**2 + 4*s - 75260
Find the second derivative of -4*f**4*u - 2*f**4 - 2921*f**2*u - 7*f*u - 8101*u wrt f.
-48*f**2*u - 24*f**2 - 5842*u
What is the third derivative of -605*g**3*p**2 - 18*g**3*p*s**2 + 3*g**2*p*s**2 + 2*g*p**2*s**2 + 451*g*p**2*s wrt g?
-3630*p**2 - 108*p*s**2
Differentiate -m**2 + 42735*m - 56812.
-2*m + 42735
What is the second derivative of -73*i**4 - 10*i**3 + 4*i**2 + 217*i + 300?
-876*i**2 - 60*i + 8
What is the derivative of 156312*o**3 + 289092?
468936*o**2
What is the first derivative of 2907*q*y**2 - 10*q*y + 73980*q wrt y?
5814*q*y - 10*q
Find the second derivative of -44317*k**5 - 2006*k + 4 wrt k.
-886340*k**3
Find the third derivative of -1297411*v**4 - 2*v**2 - 1229*v + 211 wrt v.
-31137864*v
Find the first derivative of -57733*w - 32147.
-57733
What is the derivative of 5893*r**4 + r**3 + 43239 wrt r?
23572*r**3 + 3*r**2
What is the third derivative of -394*d**6 + 3*d**5 - 2*d**2 + 140902*d + 2 wrt d?
-47280*d**3 + 180*d**2
What is the second derivative of -5*c**5 + 108*c**3*y**2 + 249*c**2*x - 23658*c*x*y**2 - 33*c wrt c?
-100*c**3 + 648*c*y**2 + 498*x
What is the third derivative of 2*z**5 + 14*z**4 + 98*z**3 + 110*z**2 - 6*z?
120*z**2 + 336*z + 588
Find the third derivative of -3*h**4*w + 282126*h**4 + h**3*w - 22*h**2*w - 4*h**2 - 29*h*w - 31*w wrt h.
-72*h*w + 6771024*h + 6*w
What is the second derivative of 17918*l**2 + 182*l + 250 wrt l?
35836
What is the second derivative of -5607*n**4 + 345*n**2 - 2*n - 1239896 wrt n?
-67284*n**2 + 690
What is the first derivative of -11*x**4 - 3*x**3 - 298*x**2 - 895779?
-44*x**3 - 9*x**2 - 596*x
Find the third derivative of 169255*b**3 + 5171*b**2 + 8 wrt b.
1015530
What is the third derivative of 1013825*z**4 + 32*z**2 + 935*z + 2?
24331800*z
Find the third derivative of 2992*o**4 + o**3 - o**2 - 1618 wrt o.
71808*o + 6
Differentiate 61846*b**2 - 108923 wrt b.
123692*b
Find the third derivative of -106*c**3*k*o*t**3 - 11*c**3*t**3 + 6*c**3*t - c*o*t**2 - k*o*t**2 - 31*k - o*t**3 wrt t.
-636*c**3*k*o - 66*c**3 - 6*o
What is the derivative of 2*t**4 + 81016*t**3 + 17*t**2 - 4397267?
8*t**3 + 243048*t**2 + 34*t
Find the second derivative of 238715*g**2 + 134551*g.
477430
What is the first derivative of o*x**4 - 4902*o*x**2 + 37916*o wrt x?
4*o*x**3 - 9804*o*x
Find the second derivative of -3*g*x**3 + 3819*g*x**2 + 259423*g*x - 5*x**2 + 2*x wrt x.
-18*g*x + 7638*g - 10
What is the first derivative of 359361*u + 493358?
359361
Differentiate -2*q**3 + 21853*q*z - 808017*z with respect to q.
-6*q**2 + 21853*z
Differentiate -2137*p**3*s**3 - p**3 + 59*p**2 - 140*p*s**3 - 2*p + 24 with respect to s.
-6411*p**3*s**2 - 420*p*s**2
What is the second derivative of -18*i**3*m*p + 2*i**3*p**2 + 2*i**3*p + 278748*i**2*m**2*p**2 + 2*i*m**2 + 3*i*m*p wrt p?
4*i**3 + 557496*i**2*m**2
Differentiate -47885*q**2 - 61082.
-95770*q
Find the third derivative of 42081*y**4 - 2*y**2 - 11125.
1009944*y
Differentiate 22510*f*j*n + 2*f*j + 58*j*n - 2*n + 42 with respect to f.
22510*j*n + 2*j
What is the second derivative of -100*z**4 + 80*z**3 + 102246*z wrt z?
-1200*z**2 + 480*z
What is the second derivative of -14*i**3 + 111613*i**2 + 120965*i wrt i?
-84*i + 223226
Find the second derivative of 8028*v**3 - 3*v**2 - v + 105369.
48168*v - 6
Find the third derivative of 103400*r*s**4 - 7*r*s**2 - 19*r*s + s**2 + 11 wrt s.
2481600*r*s
Find the third derivative of 19*u**4 - 611*u**3 + 70741*u**2.
456*u - 3666
What is the first derivative of -2945138*l**3*w**4 + l**3 + 70*l**2 - 35*l - 217 wrt w?
-11780552*l**3*w**3
Find the second derivative of 18*m*o**3*x**2 - 13*m*o**3*x + m*o**3 + 9*m*o**2*x - 4*m*x - 10*o**3*x**2 + o**3*x + 3*o**2*x + 644*x**2 wrt x.
36*m*o**3 - 20*o**3 + 1288
What is the second derivative of 18*f*n*o**2 + 228*f*n*o - 2*f*n - 5*f*o**2 + n**2*o**2 - 37*n**2 + n*o**2 wrt o?
36*f*n - 10*f + 2*n**2 + 2*n
Differentiate -1550723*i - 1406988.
-1550723
What is the third derivative of -13*u**4 + 185*u**3 + 45334*u**2 wrt u?
-312*u + 1110
Differentiate -411486*j**3 - 500403 wrt j.
-1234458*j**2
Differentiate -2*w**4 + 68*w**3 - 52*w**2 + 5*w + 5764966 wrt w.
-8*w**3 + 204*w**2 - 104*w + 5
What is the second derivative of 2*c**5*u**2 - 46051*c**3*u**2 - 4592*c*u**2 + 149*u**2 wrt c?
40*c**3*u**2 - 276306*c*u**2
Differentiate 34*x**2 + 9341*x + 514573 wrt x.
68*x + 9341
What is the second derivative of 1840330*c*l**4 - 713*c*l + 3*l + 375 wrt l?
22083960*c*l**2
What is the third derivative of 35*v**4*z - 4*v**4 - 2*v**3*z - 119*v**3 + 10*v**2 + 13002*z wrt v?
840*v*z - 96*v - 12*z - 714
Differentiate -49*a**2*b + 22137*a*b**2 - 31039*b**2 with respect to a.
-98*a*b + 22137*b**2
Differentiate -1110676*x**3 + 2624990 wrt x.
-3332028*x**2
Differentiate 210774*i - 787830 with respect to i.
210774
What is the first derivative of 22*k*t - 337*k - 55094*t + 2111 wrt t?
22*k - 55094
Find the second derivative of -4*j*v**3 + 3*j*v - 279*j - 264673*v**3 + 104*v wrt v.
-24*j*v - 1588038*v
What is the first derivative of -31*h*m*r*v**3 + h*r*v**3 + 60*h*v**3 - 9*h*v + 5341*m*r - r*v**2 + r wrt m?
-31*h*r*v**3 + 5341*r
What is the first derivative of -b**2*g + 4*b**2 + 1000*b*g + 2*b - 158603*g wrt b?
-2*b*g + 8*b + 1000*g + 2
What is the third derivative of 40*o**5 + 55*o**3*r**3 + 2494*o**2*r**2 + 2*o**2*r + o*r**3 + 2*o*r wrt o?
2400*o**2 + 330*r**3
Find the third derivative of -1050*h**3*o**3 + 21085*h**2*o**3 + h*o**3 wrt h.
-6300*o**3
Find the third derivative of -110350*j**4 + j**2 + 14398.
-2648400*j
Find the second derivative of 10*u**5 + 10834*u**4 + 59*u - 12075.
200*u**3 + 130008*u**2
What is the third derivative of 12*d**4 - 11675*d**3 - 224*d**2 - 497 wrt d?
288*d - 70050
Find the third derivative of l*s**4 - 475*l*s**3 - 23*l*s**2 - 337*l*s + 3*s**4 wrt s.
24*l*s - 2850*l + 72*s
Differentiate 4*o**3 - 1056*o**2 - 2*o - 39390 wrt o.
12*o**2 - 2112*o - 2
What is the third derivative of -5207*b**5 + 14186*b**2?
-312420*b**2
Find the third derivative of 5047*p**5 - 45*p**2 - 563*p.
302820*p**2
What is the second derivative of 1030323*b**2*q - 282*b - 3174*q wrt b?
2060646*q
Find the third derivative of -839*k**5 + 6*k**4 - 2*k**3 - 5*k**2 + k + 2205 wrt k.
-50340*k**2 + 144*k - 12
Find the first derivative of -115759*r + 326940.
-115759
What is the third derivative of -528*h**3*p**3 + 398*h**3*p**2 + 2*h**3 + 2*h**2*p**3 - 3*h + 65*p**3 wrt p?
-3168*h**3 + 12*h**2 + 390
Find the third derivative of -2*j**5 - 4262*j**3*o**2 + 203*j**2*o**2 - 249*j*o**2 - 1 wrt j.
-120*j**2 - 25572*o**2
| {
"pile_set_name": "DM Mathematics"
} |
e m + 5*h + 116 = -3*m, -3*m - 92 = 5*h. Calculate the least common multiple of -6*1/(2 + -3) and (-172)/m + -1 + 5/6.
42
Find the common denominator of (-722)/540 + -10 + 1 + 377/39 and -35/864.
4320
Suppose 3*o + 57 = 3*y, 4*o + 4*y + 70 = 2*y. Find the common denominator of 27/8 and o/12 + 3/1242*237.
552
Suppose 3*w - 108 = -5*g + 115, -2*w = -2*g - 138. Let a = w - 125. Find the common denominator of 25/21 and -1 + 291/a*-3 - -1.
42
Suppose g + 0*g + 1 = -5*v, 0 = -4*g + 5*v + 21. Suppose -g*b = -5 - 19. Calculate the common denominator of b and 10 - 4*465/160.
8
Let z = -212979259643/10438890534 - -2381406/127487. Let j = z + 3/4549. What is the common denominator of 11/2 and j?
18
Suppose -5*m + 9*m = 24. Let r = 27 + 12. What is the least common multiple of m and (30/(-8))/(r/(-104))?
30
Let g(l) = 4*l - 2 + 3 + 4*l + 3. Let k be g(5). Suppose -3*i = -k - 1. Calculate the lowest common multiple of i and 1.
15
Suppose -y + 64 = f + 2*y, -4*f = -2*y - 214. What is the lowest common multiple of 297 and f?
1485
Suppose -6*q + 9*q = 24. Let g(w) = -2*w**2 + 12*w. Let b be g(q). Calculate the least common multiple of 1 - b - (-2 - -2)/5 and 6.
66
Let r(m) = 3*m**3 - 223*m**2 + 87*m - 258. Calculate the smallest common multiple of 176 and r(74).
704
Suppose -30 = 2*t - 4*z, 2*t - 3*z = -2*t - 55. Suppose -2*d + 1 = 5, 3*k - d = -70. Let q = t - k. Calculate the smallest common multiple of q and 2.
22
Suppose 15*f - 76 - 59 = 0. Let r(p) = p**2 - 6*p - 13. Calculate the smallest common multiple of r(f) and 12.
84
Let b(s) = -s**2 - 197*s + 402. Calculate the lowest common multiple of b(2) and 8344.
8344
Let b = -95377913/587027 - -1/251583. Let j = -1254/7 - b. Calculate the common denominator of j and (7/(-14))/((-4)/(-146)).
12
Let k(o) = o**3 + 14*o**2 + 47*o - 6. Suppose -275*p + 14 = -277*p. What is the lowest common multiple of 14 and k(p)?
56
Let w = -5672/27 + 6287/30. Find the common denominator of w and -29/900.
2700
What is the common denominator of (-2 - 63/(-24))*(-1512)/(-360) and 35/1404?
2808
Let u(k) = -95*k - 21. Let o be u(-10). Let h = o - 8371/9. Find the common denominator of 9/5 and h.
45
Let h(z) = -399*z + 4790. What is the least common multiple of 6 and h(12)?
6
Let o(j) = 956*j - 16. Let n be o(11). Suppose -6*d = -2*d - n. Calculate the common denominator of d/1078 + 3/7 and 49/6.
66
Let n(z) = -1 - 6 - 6*z**2 + 9*z**2. Let m(h) = 5*h + 77. Let l be m(-16). What is the lowest common multiple of n(l) and 32?
160
Suppose -2*k - 315 = 2*z + 205, -1016 = 4*z - 2*k. Find the common denominator of 13/30 and ((-206)/(-10))/(z/(-40) + 2).
210
Suppose 2*s = -4*g + 7 + 9, 4*s + 2*g = 38. Let z(b) = -2 - 5*b - b**3 + 2*b - 87*b**2 + 84*b**2. Calculate the lowest common multiple of z(-3) and s.
70
Let p = 17801/234 + -903/13. Let g = -2741/952 - -141/34. Calculate the common denominator of g and p.
504
Let g = 39 + -37. Suppose g*f - 1309 = -5*z - 0*f, z = 5*f + 251. Let y = z - 793/3. Find the common denominator of y and 39.
3
Let q be -292*6/(-26) + 5. Let w = 12943/156 - q. Find the common denominator of w and (1/25)/((-4)/(-190)).
60
Let z = 8425/588 + -208/49. Calculate the common denominator of 163/180 and z.
180
Calculate the lowest common multiple of 13 and 7 - (-7 + -2) - (6 + -1).
143
Let t be (-1)/(-54)*(-47601)/(-171). Let c = -40/171 - t. Calculate the common denominator of (-171)/(-150)*(-15)/6 and c.
180
Suppose -2*o + 4*a + 11028 = 0, -2*o - 2*o = a - 22083. What is the common denominator of 145/102 and o/(-14535) + (-6)/(-57)?
102
Suppose -16*f + 13*f + 3*s + 6 = 0, -5*f - 4*s = 17. Find the common denominator of 52/9 and f/(-7 - (-294)/48).
63
Suppose -82*d - 62*d + 2016 = -123*d. What is the lowest common multiple of 146 and d?
7008
Let k = -1042631/30780 + 3179/95. What is the common denominator of k and 131/594?
3564
Let v be (-20126)/(-28) + 140/(-28). Let w = v + -713. Calculate the common denominator of -71/12 and w.
84
Let d = -9853/870 + 370/29. Let z be (-1 + 3)/(1/173). What is the common denominator of d and (-10 - -12) + z/(-48)?
120
Find the common denominator of 61/1770 and (-14)/(-21) + 2345/(-210).
1770
Suppose 2*t + 3*q = 6, 6*t + 2*q - 15 = t. Suppose 0 = 5*c + 2*h + 3 - 81, -2*h = t*c - 46. Calculate the smallest common multiple of 12 and c.
48
Suppose 3*c + 5*r - 107 = 0, -4*c + 193 = c + r. Suppose -10*s = -c - 111. Calculate the least common multiple of (-3)/(-3*5/s) and 16.
48
Let x be (0 - (3 - -9))*-1. Suppose h = 5*h - x. Suppose 0 = c + 3, -3 = -4*w - 2*c + 7. Calculate the smallest common multiple of h and w.
12
Find the common denominator of 3808/(-168)*(-6)/15076 and -41/4.
15076
Let j(i) = -i**3 - 7*i**2 - 3*i - 18. Let m be j(-7). What is the common denominator of -23/20 and 1122/(-388) + 14/(14/m)?
1940
Let o = -4949162 - -232601729/47. Let m = o - -373819/658. Let f = m + -373. Calculate the common denominator of f and -5/56.
56
Let o be 3 + -8 + 3 + 1. What is the lowest common multiple of 2 and (o - (3 + -2))*11/(-2)?
22
Let k(t) = 191*t**3 + t**2 + 6*t - 6. Calculate the least common multiple of 76 and k(1).
3648
Let y = -4640/7 - -27007/42. Find the common denominator of 30/11 and y.
66
Let b(y) = 659*y**2 + 9*y + 6. Let x be b(-7). Let c = x + -773723/24. Find the common denominator of (-2 + (-132)/(-20))*(-5)/22 and c.
264
Suppose 3*m - 316 = -5*k + 829, 2*m - 763 = -3*k. What is the lowest common multiple of m and 40?
760
Let f = 14911103681/44 + -338872558. Let g = -16163 + f. Calculate the common denominator of 119/6 and g.
132
What is the common denominator of (40 - (-498)/(-12))*(-1 - 146/(-27)) and (-6)/(-4)*(-7)/10?
180
Let n = 27/4408 - -324559/1705896. Calculate the common denominator of 17/81 and n.
3483
Suppose -114*s = -117*s - 3*m + 567, -5*m + 363 = 2*s. What is the lowest common multiple of 14 and s?
1358
Suppose 282 = j - b, -5*j - 2771*b + 1410 = -2766*b. Calculate the lowest common multiple of j and 3.
282
Let k = 356 - 362. Calculate the common denominator of 5/k*(1 + (-64)/(-24)) and 4/54*(-130)/4.
54
Let s be (3/(-4))/((-66)/440). Suppose -3*v - 104 = -4*t - s*v, -68 = -3*t - 4*v. What is the lowest common multiple of t and 11?
308
Let h = -1303/40 + 141/5. Let l = -272 + 68. What is the common denominator of h and 4 + (l/(-56))/3?
56
Suppose -3*z = 298 - 856. Suppose -11*f + 17*f = z. Suppose 5*m + 2*i - 3*i = f, -4*i = 4*m - 44. Calculate the lowest common multiple of m and 4.
28
Let x(s) = -s**2 - 15*s - 15. Let b be x(-14). Let c be 38/(-57)*18/(-4). Find the common denominator of b/((-3)/(-1) + (-5)/c) and -35/2.
4
Let u = -133 - -295. Let n = u + -102. Calculate the smallest common multiple of 20 and n.
60
Suppose 3*i - 2*x + 5*x = 0, x = -2. Let d = 65 - 45. Suppose i*u = d - 8. What is the lowest common multiple of 30 and u?
30
Let r be (4 + (-21)/4)/(3/(-12)). Suppose -3*h - 183 = -4*y, r*y + h - 109 = 134. Calculate the common denominator of -22/3 and 10/(-56) - y/(-112).
12
Let k = -9/11500 - -119461/189750. Let i = -28888 + 693203/24. Find the common denominator of i and k.
264
Let w = -185581837/584 + 317777. Find the common denominator of 21/16 and w.
1168
Let n = -101803/12 + 8477. Find the common denominator of -37/33 and n.
132
Let n(k) = 48*k**2 - 48*k - 48. Let q(d) = 7*d + 2. Calculate the smallest common multiple of q(6) and n(-1).
528
Let k(d) = 291*d - 4646. Calculate the lowest common multiple of k(16) and 8919.
89190
Let q(m) be the first derivative of m**3/3 + m**2/2 - 2*m - 1. Calculate the lowest common multiple of ((-7)/(-3))/(27/162*2/4) and q(-4).
140
Suppose 0 = -a + 2 + 43. Suppose -3*h = 2*h - a. Calculate the lowest common multiple of h and 2*(4/8 - -3).
63
Let j(v) = 3*v + 3. Let w(x) = -1. Let h(z) = j(z) + 4*w(z). Let m be h(0). Calculate the common denominator of -14/11 and 30/21*(-6 - m).
77
Suppose 4*n + 468 = -4*u, -7*u - 114 = n - 3*u. Let a = -111 - n. Calculate the lowest common multiple of a and 53.
371
Let k = -144061/17514 + 14/1251. Find the common denominator of k and ((-14)/(-34))/(660/(-1650)).
238
Let s = -269/4 + 66. Find the common denominator of s and (-3)/(-4)*(-45)/(-130)*12.
52
Suppose -3*g + 1460 = -5*b - 1648, -3*g = 12. Let t = -1837/3 - b. What is the common denominator of -21/17 and | {
"pile_set_name": "DM Mathematics"
} |
git of -4 + (-4 + 836/v)*-3?
1
Let q = 1459 + -817. What is the tens digit of q?
4
Let c = -1130 + 1956. What is the hundreds digit of c?
8
Let v = 25 - 16. Let u be (13 - v)/((-1)/(-3)). Suppose 0*x - u = -x. What is the units digit of x?
2
Suppose 5*h - 5*z = 3250, 7*z + 2604 = 4*h + 2*z. What is the tens digit of h?
4
Suppose 5*q + 672 = 12*q. What is the units digit of q?
6
Suppose -2*f - 4 = -12. Suppose -f*w + 101 + 71 = 0. What is the units digit of w?
3
Suppose 0 = 8*i - 48*i + 46560. What is the hundreds digit of i?
1
Suppose u = -o - 3*o + 84, -2*u = 3*o - 188. What is the tens digit of ((-480)/u)/((-2)/10)?
2
Suppose 50 = 3*x + 2*d, 2*x + 2*d + d - 25 = 0. What is the tens digit of x + -23 + (0 - -55)?
5
Let t(n) be the third derivative of -n**5/60 + n**4/4 + n**3 + 2*n**2. What is the tens digit of t(5)?
1
Suppose 3*q + z + 891 = 5*q, -1354 = -3*q - 2*z. Suppose -3*v = -11*v + q. What is the units digit of v?
6
Suppose -f - 4 = -m, -m = -2*m + 2*f + 4. Suppose 0 = -h + 4*u - 3 + 26, 20 = -m*u. What is the units digit of h?
3
Let n(a) = 4252*a**2 - 103*a - 102. What is the thousands digit of n(-1)?
4
Let v(i) be the second derivative of -i**4/12 + 11*i**3/3 - 3*i**2 + 22*i. What is the hundreds digit of v(13)?
1
Let a = 920 + -613. Suppose -3*t = 13 - a. What is the units digit of t?
8
Let q(g) = -269*g + 3. Let v be q(-1). Suppose 2*c - 4*j - v = 0, -5*j = -4*c + 2*c + 274. What is the hundreds digit of c?
1
Suppose 0 = -3*o - 5*l + 6938, 57*o - 5*l = 58*o - 2326. What is the units digit of o?
6
Suppose z = -3*z + 12. Suppose -3*k - 6 = z*w + 3, 3*k = -5*w - 9. What is the units digit of (4/k)/(13/(-195))?
0
Let p = -4 + 0. Let j(x) be the third derivative of -x**5/60 - 5*x**4/24 - x**3/6 - 4*x**2. What is the units digit of j(p)?
3
Let d(w) = 48*w**2 + 12*w + 27. What is the hundreds digit of d(-4)?
7
Suppose 0 = -5*s + 138 - 8. Suppose -4*u - 131 = -5*v, -2*u + 3*u - 82 = -3*v. Suppose -v*c + s*c = -51. What is the tens digit of c?
5
Let f(i) = -29 - 38*i + 78 - 29 - 25. What is the tens digit of f(-2)?
7
What is the hundreds digit of 980 + -5 + 13/1?
9
Let b(p) = -p**2 - 12*p + 11. Let t be b(-11). Suppose -3*w + t = -23. Suppose 0 = m + w - 44. What is the units digit of m?
9
Let c be 3/(-6)*6 - 282/(-3). Suppose 2*d = 3*a - 0*a - 47, -4*a - 3*d = -c. What is the units digit of a?
9
Let b(d) = -d**3 - 3*d**2 + 7*d + 14. Let x be b(-4). Suppose -x*g - 7 = -4*n + n, -2*n + g = -5. What is the units digit of n?
3
Suppose -4*f + 2*b = -978, -10*f + 6*f - 2*b + 998 = 0. What is the units digit of f?
7
Suppose -8*r = -4*r + 224. Let z be 0 - (0 - r)*-1. Suppose -2*l = -6*l + z. What is the tens digit of l?
1
Let l = 102 + -51. What is the units digit of l?
1
Let y(c) = -12*c - 10. Let k(r) = r - 1. Let x(f) = -5*k(f) + y(f). What is the units digit of x(-3)?
6
Let q(p) = p**2 + p. Let k = -6 + 6. Let m be q(k). Suppose 2*u = 16 - m. What is the units digit of u?
8
What is the hundreds digit of (1 + -3)/(-3*8/6492)?
5
Let c be 1968/(-18)*-1*3. Let k = -203 + c. What is the units digit of k?
5
Let g = -7 + 1. What is the tens digit of 12/(-18) - 214/g?
3
Suppose 3*t - 2*p - 476 - 195 = 0, 2*t = 4*p + 442. Suppose -2*j - t = -4*q + 119, j = 5*q - 427. What is the units digit of q?
5
Let x = 2135 - 1000. What is the tens digit of x?
3
Let v(u) = 13*u**2 + 6*u - 6. Let x be v(4). Suppose 4*m - 262 = -2*l + l, -x = -l + 5*m. What is the units digit of l?
6
Let k(m) = 58*m - 396. What is the units digit of k(8)?
8
Let t be (-6)/(2 - 0/4). What is the units digit of (-1 + (-114)/9)*t?
1
Let b(w) = -w + 8. Let a be b(6). Suppose a*r + 5*y = 33, -4*y + 48 = 2*r + 2*r. What is the units digit of 2/9 - (-79)/r?
9
Suppose -3*g + 2*o + 29 = -123, -2*g = -2*o - 100. Let n = 124 - g. What is the units digit of n?
2
Suppose -46767 = 26*h - 194941. What is the units digit of h?
9
Let p(o) = -o**2 - 95*o - 118. What is the units digit of p(-26)?
6
Let z(r) = -r**2 - r - 4. Let f be z(-3). Let i = 13 + f. Suppose 60 = -g + i*g. What is the units digit of g?
0
Suppose 2*i + 9 = 3*i. Let g be 6/27 - (-628)/i. Suppose 0 = 5*v - 0*v - g. What is the tens digit of v?
1
Suppose 4*q + 170 = -62. Let x = q - -34. Let d = 46 + x. What is the units digit of d?
2
Let i(x) = 3*x - 8*x - x**3 - 52 + 5*x**2 + 50. What is the units digit of i(3)?
1
Let m(g) = -g + 36. Let c be m(-11). What is the tens digit of (6/2 + -5)/((-1)/c)?
9
Let d(j) = -j**2 - 5*j + 1. Let h be d(-6). Let v(m) = 75*m**2 + 5. Let y(i) = 75*i**2 + 4. Let p(o) = h*v(o) + 6*y(o). What is the units digit of p(1)?
4
Suppose -3*o + 2 = -7. Suppose -311 = -3*a + a - o*p, -158 = -a - 2*p. Suppose a - 13 = 5*w. What is the units digit of w?
7
Let j be ((-2)/4)/(1/(-6)). Suppose -3*c = s + 3, s - 3*c = -s + j. Suppose 5*z - 278 = -4*g, -4*z - g - 6 + 224 = s. What is the units digit of z?
4
What is the hundreds digit of -6 + 28581/9 - 16/(-12)?
1
Let n = -681 - -1033. Let x = 501 - n. What is the hundreds digit of x?
1
Let o(w) = -7*w**3 + 52*w**2 - 55*w + 61. Let y(p) = -4*p**3 + 26*p**2 - 28*p + 31. Let m(c) = 3*o(c) - 5*y(c). What is the units digit of m(25)?
8
Suppose 0 = 29*m - 164076 + 43378. What is the hundreds digit of m?
1
Let j(i) = -27*i**3 + i**2. Let s be 0 + (-1 - -3) + 3. Suppose -2*c + c = 5*l + 3, 2*c - 9 = s*l. What is the units digit of j(l)?
8
Let b(f) = -3*f - 5 + 4*f + 0*f. Let i be b(9). What is the units digit of (3 - 5/2)*i?
2
What is the tens digit of 331/2 + (-4)/8?
6
Let r(y) = 2*y**2 + 17*y - 48. What is the hundreds digit of r(-23)?
6
Suppose 2*c + 4*q - 3852 = 2*q, 0 = 5*c - 3*q - 9630. What is the units digit of c?
6
What is the units digit of 36*9/((-189)/(-28))?
8
What is the units digit of 130/(-13)*(-22 + (6 - 3))?
0
Suppose -3*h - 68*c + 809 = -73*c, 0 = -5*c - 5. What is the hundreds digit of h?
2
What is the units digit of 41*11 - (-12 + 5 - -4)?
4
What is the units digit of (-488)/(-22) + 82/(-451)?
2
Suppose -2110*a = -2107*a - 10530. What is the units digit of a?
0
Let h = -416 - -824. What is the units digit of h?
8
Let z(h) = 13*h**2 - 32*h**2 + 12*h**2 - h**3 - 4 + 11*h**2 + 2*h. Let b = -7 + 10. What is the units digit of z(b)?
1
Let v be 1/(4/(12 + 0)) + -9. What is the units digit of (-55)/(-1) + v/3?
3
Let r be -1 - (-1)/((-4)/4 - -2). Suppose r = -w - 46 + 55. What is the units digit of w?
9
Suppose -2*y + 47 = 15. Let d(n) = 13*n - 88. Let l be d(13). What is the tens digit of l/12*y/3?
3
Let r = 4547 - 2728. What is the thousands digit of r?
1
Suppose -o = -3*x + 58, -5*x + 2*o + 148 - 51 = 0. Suppose 0 = 4*f - x - 69. What is the tens digit of f?
2
Let u = 221 + -144. Suppose 0 = 5*m - 98 - u. What is the units digit of m?
5
What is the tens digit of 1812 - 6/(-4)*168/(-63)?
0
Suppose -3*q - 2*q = w + 23, -3*q - 7 = 4*w. Suppose -5*v - 18 = -w*v. Let t(p) = 2*p**2 + 7*p + 1. What is the tens digit of t(v)?
3
Suppose 44*t = -53*t + 590051. What is the tens digit of t?
8
Let x(i) = 77*i + 227. What is the units digit of x(11)?
4
Let a be 4 + (-5 - -4)*57. Let c = a + 111. What is the units digit of c?
8
Suppose 3*y - 3*k = 1662, 2*y + 0*y - 3*k = 1111. What is the tens digit of y?
5
Let q be ((-3)/2)/((-3)/10). Suppose 2*r - 44 = -3*z, 0 = r - 5*r - q*z + 84. What is the units digit of r/6*(-6)/(-8)?
2
Suppose -22*b + 23*b + 199 = 5*p, 4*p + 3*b = 144. What is the tens digit of p?
3
Let y(u) = u**2 + 5*u + 4. Let v be y(-5). Suppose -v*k - 13 - 35 = 0. Let n = k + 29. What is the units digit of n?
7
Suppose -1013 = 2*a - 47. Let p = a - -699. What is the units digit of p?
6
What is the hundreds digit of (3/4)/((-594)/(-3156912))?
9
Let p be -58*(4 - (1 + 4)). Let l = p + 28. What is the tens digit of l?
8
Let s be 3/(-9)*(-8 - -2). Let d be (-35)/s*(-136)/85. What is the units digit of d/(-154) + 1170/22?
3
What is the units digit of (-2 - 3148/(-10)) + (-54)/(-45)?
4
Let b(z) = -z**3 + 3*z**2 - z + 3. Let p be b(3). Suppose 2*s - 13 + 13 = 0. What is the units digit of p + s - 26/(-2)?
3
Let t(u) = 24*u**2 + 7*u - 41. What is the thousands digit of t(-16)?
5
Let c = 47 + -1. Suppose -5*g - c = 454. Let z = -56 - g. What is the units digit of z?
4
Suppose 0 = -r + 3 - 0. Suppose -2*t = 2*j - 232, -3*t + 459 = t + r*j. What is the hundreds digit of | {
"pile_set_name": "DM Mathematics"
} |
1 wrt c?
10120*c**3*y
What is the derivative of -51*l + 184?
-51
What is the third derivative of q**4 - 20*q**3*t**3 + 9*q**3 - 3*q**2 + 37*q*t**3 wrt q?
24*q - 120*t**3 + 54
Find the second derivative of -2*h*u**2*w - 2*h*u*w**2 + h*w**2 - 133*u**3*w**2 + u**2*w**2 + 3*u*w**2 - 2*u - 6*w wrt u.
-4*h*w - 798*u*w**2 + 2*w**2
What is the third derivative of 4812*n**4 - 2378*n**2 wrt n?
115488*n
Differentiate -331*p**2*u - 23*p**2 + 4*p*u - 3*p + 1 with respect to u.
-331*p**2 + 4*p
Find the third derivative of 24*b**6 + 53*b**5 + 29*b**2 - 109*b.
2880*b**3 + 3180*b**2
What is the third derivative of -r**4*u*y + 3*r**4 - 11*r**3*u + 3*r**3*y - r**2 - 9*r*u + 9*u*y wrt r?
-24*r*u*y + 72*r - 66*u + 18*y
Find the first derivative of -132*d*u**2 - 2*d*u + 2*d + 20 wrt u.
-264*d*u - 2*d
Find the second derivative of -1883*r**3 + 343*r - 2.
-11298*r
What is the first derivative of 4892*g**3 + 401?
14676*g**2
What is the third derivative of 5*m**5 - 3*m**4 - 14*m**2 - m wrt m?
300*m**2 - 72*m
Find the second derivative of -n**5 + 100*n**3 + 455*n wrt n.
-20*n**3 + 600*n
What is the second derivative of -7*i*m**4 + 12*i*m**3 + i*m - 509*i - 9*m**4 - m wrt m?
-84*i*m**2 + 72*i*m - 108*m**2
What is the first derivative of -2*o*r**2*v**3 - 32*o*r*v**3 - 2*r**2*v**3 - 57*r*v**3 wrt o?
-2*r**2*v**3 - 32*r*v**3
What is the first derivative of 106*n**4 + 3*n**2 - 360 wrt n?
424*n**3 + 6*n
Find the first derivative of -596*b*h**3 + 13*h**3 + 14 wrt b.
-596*h**3
Find the third derivative of -8735*m**6 - 1860*m**2 - 2*m wrt m.
-1048200*m**3
Find the second derivative of 9*j**3*z**2 - 8*j**3 + 47*j**2*z**2 + 3*j**2 - 12*j - 3*z**2 + 3*z wrt z.
18*j**3 + 94*j**2 - 6
What is the second derivative of -4*p*t**3 - 26*p*t - 5*p - 2*t**5 + 8*t**3 wrt t?
-24*p*t - 40*t**3 + 48*t
What is the second derivative of -2*c**3*d**3 + 2*c**3 - c**2*d - 64*c*d**3 + 2*c*d wrt d?
-12*c**3*d - 384*c*d
Find the second derivative of -20*f**2*k**3 - 14*f**2 - 5*f*k**2 + 579*k**3 wrt f.
-40*k**3 - 28
Differentiate -g**2 - 58*g - 34 wrt g.
-2*g - 58
Find the third derivative of 117*h**3 - 80*h**2 - 4.
702
Find the third derivative of 428*u**3 - 254*u**2.
2568
Find the first derivative of 6008*y + 9730.
6008
Differentiate 14*q**4 + 24*q**2 + 214 wrt q.
56*q**3 + 48*q
Differentiate -50*g*i**3 + 21*g*i**2 + 725*i**3 with respect to g.
-50*i**3 + 21*i**2
What is the third derivative of -129*l**3 + 42*l**2 wrt l?
-774
What is the second derivative of -32248*l**2 - 15532*l?
-64496
Find the second derivative of -2*x**3 - 27*x**2 + 9*x + 2.
-12*x - 54
Differentiate 1074*m + 339 wrt m.
1074
What is the second derivative of 2257*s**5 + 1529*s?
45140*s**3
What is the third derivative of -93*u*w**4 - 2*u*w**2 - 7*u wrt w?
-2232*u*w
What is the derivative of -3260*q**4 - 4023?
-13040*q**3
Find the third derivative of 1447*f**3*o**2 + f**3*o - 11*f**2*o**2 - f*o**2 + 23*f wrt f.
8682*o**2 + 6*o
What is the third derivative of 124*g**3*i**2*m*r**3 - 2*g**3*i*m*r + 2*g**3*r**2 + g*i**2*m*r**3 - 10*g*i**2*m*r**2 - 2*i**2*m*r**2 + 2*i**2*m*r wrt r?
744*g**3*i**2*m + 6*g*i**2*m
What is the third derivative of -3*c**4 + 420*c**3 + 1071*c**2 + c?
-72*c + 2520
What is the third derivative of 369*a**5 - 2*a**4 + 5*a**2 - 50*a wrt a?
22140*a**2 - 48*a
What is the third derivative of -4676*x**3 - 4551*x**2?
-28056
Find the second derivative of s**3*v + 37*s**3 - 20*s**2*v - 2*s**2 - 9*s*v + 22*v + 2 wrt s.
6*s*v + 222*s - 40*v - 4
Find the third derivative of 3*h**3*o*p**2 + 269*h**3*p**2 - 2*h**2*o*p**2 + 24*h**2*p + 10*h*o*p**2 wrt h.
18*o*p**2 + 1614*p**2
What is the third derivative of 266*x**4 + 170*x**2 + 2 wrt x?
6384*x
What is the second derivative of 804*u**3 - 2*u**2 - 1794*u?
4824*u - 4
Differentiate 361*s**4 + 2*s**3 + 5*s**2 + 418.
1444*s**3 + 6*s**2 + 10*s
Find the first derivative of -2*u*z**2 + 4*u*z - 288*u + 5*z**2 wrt z.
-4*u*z + 4*u + 10*z
Differentiate 145*j - 299 with respect to j.
145
What is the derivative of p**2*x**2 + 72*p**2 + 2*p*x**2 + 9*x**2 - 1 wrt x?
2*p**2*x + 4*p*x + 18*x
Differentiate -68*l**4*n*o - 8*l*n*o - 5*l*o**3 - 33*n*o**3 + 5*n wrt l.
-272*l**3*n*o - 8*n*o - 5*o**3
Find the third derivative of 9206*t**4 - 772*t**2 wrt t.
220944*t
What is the derivative of -1254*l - 1453?
-1254
Find the second derivative of 7*d*n**3*v**2 + 11*d*n*v**2 - d*v + n**3*v - 9 wrt v.
14*d*n**3 + 22*d*n
What is the third derivative of 10*d**2*n**3*s - 2*d**2*n**2*s - 3*d**2*n**2 - d*n**2*s**2 + 8*d*n*s**2 - 5*n**4*s + 11*n**3*s**2 - 13*n*s**2 wrt n?
60*d**2*s - 120*n*s + 66*s**2
What is the second derivative of 2*w**5 + 965*w**4 + 3703*w wrt w?
40*w**3 + 11580*w**2
What is the derivative of 3212*i**2*p - 55*i**2 + i - 15 wrt p?
3212*i**2
What is the second derivative of -16*p**4*t + p**4 + 2*p**2*t - 13*p*t - 11*p wrt p?
-192*p**2*t + 12*p**2 + 4*t
Find the third derivative of -178*g**3*q**3 + 3*g**3*q**2*y - 2*g**2*q**3*y - g**2*q*y + 2*g**2*y - 57*q*y wrt g.
-1068*q**3 + 18*q**2*y
Find the second derivative of -46*f*m**3*w**2 + f*m**3 + 3*m**3*w + 6*m**3 - w**2 + 3*w wrt w.
-92*f*m**3 - 2
Differentiate 29*o**3*q**3 - 2*o**3*q + 1449*o**3 wrt q.
87*o**3*q**2 - 2*o**3
What is the second derivative of -615*s**4 + 8*s + 19 wrt s?
-7380*s**2
What is the derivative of -2*m**3*w**4 - 4*m**3 - m**2*w - m**2 - 166*w**4 + 61 wrt w?
-8*m**3*w**3 - m**2 - 664*w**3
Find the first derivative of -3*a**3 + 3*a - 1484 wrt a.
-9*a**2 + 3
Differentiate -6*t*w**2*y - 4*t*w**2 + 282*t*w*y + 13*t*w - 4*t + 6*w**2 with respect to y.
-6*t*w**2 + 282*t*w
Find the second derivative of f**3*m**2 - 162*f**3 - 192*f**2*m**2 + 2*f**2 - 3*m wrt m.
2*f**3 - 384*f**2
Find the third derivative of 2*i**6 + 11*i**3*k**2 - 4*i**3 - 7*i**2 + 6*i*k**2 wrt i.
240*i**3 + 66*k**2 - 24
Differentiate o**2*v**2 + 157*o**2 + 37*v**4 wrt v.
2*o**2*v + 148*v**3
What is the second derivative of 78*w**4 - 2*w - 54 wrt w?
936*w**2
Find the second derivative of -182*i**2 - 36*i wrt i.
-364
What is the third derivative of 1008*k**3 + k**2 - 181*k?
6048
Find the third derivative of 238*n**4 - 2*n**3 - 291*n**2.
5712*n - 12
What is the second derivative of 6*k**3 + 23*k**2 + k + 209?
36*k + 46
What is the third derivative of 2*v**6 - 2988*v**5 + 502*v**2 + v?
240*v**3 - 179280*v**2
Differentiate 6318*m + 13349 wrt m.
6318
Find the second derivative of 5*c**3*n - 115*c**3*y - 2*c*y - 3*n*y + 51*n - 1 wrt c.
30*c*n - 690*c*y
Find the second derivative of 9*c*k**2*n**3 + 27*c*k**2*n - 2*c*k*n**2 - 272*c*n**3 + k**5*n - k*n**3 + 2*k*n**2 wrt k.
18*c*n**3 + 54*c*n + 20*k**3*n
What is the second derivative of -253*d**2 + 6*d + 34 wrt d?
-506
What is the derivative of 2*m**2*o - 204*m**2 - 6*m*o**4 + 14*o**4 wrt o?
2*m**2 - 24*m*o**3 + 56*o**3
Find the third derivative of 626*a*z**3 + a*z**2 + 2*a*z + 63*a wrt z.
3756*a
Find the third derivative of -15190*q**3 - 19334*q**2.
-91140
Find the third derivative of 60*d**4 - 103*d**3 - 1790*d**2 wrt d.
1440*d - 618
What is the second derivative of 2*i**4 + 1147*i**3 + 1132*i?
24*i**2 + 6882*i
Differentiate -105*a**2*j**3 - 2*a**2 + 2*a*j**2 - 5885*j**3 with respect to a.
-210*a*j**3 - 4*a + 2*j**2
What is the second derivative of -58*q**3*w**2 + 3*q**3 - 50*q*w**2 + 2*q wrt q?
-348*q*w**2 + 18*q
Find the second derivative of -h**3*n**3 - 2*h**3*n - 785*h**3 + 241*h*n**2 wrt n.
-6*h**3*n + 482*h
Find the third derivative of 206*g**3*r**3 - g**2*r**3 - 3*g**2*r - 13*r wrt g.
1236*r**3
Find the third derivative of -c**2*n**4 - 28*c**2*n + 523*k*n**4 - 2*k*n**3 - 2*k + 38*n**2 wrt n.
-24*c**2*n + 12552*k*n - 12*k
Find the second derivative of 270*o**2 + 273*o wrt o.
540
What is the second derivative of 541*a**5 - 3*a + 67?
10820*a**3
What is the derivative of -5095*y**3 - 2330?
-15285*y**2
What is the second derivative of -134*s**2 - 421*s?
-268
What is the derivative of -454*b*r**2 - 1651*b*v**3 + r**2*v + r*v**3 wrt r?
-908*b*r + 2*r*v + v**3
Find the second derivative of 373*k**5 + 201*k - 2.
7460*k**3
Find the third derivative of -4385*m**3 + 1615*m**2.
-26310
What is the third derivative of 1227*n**3*w*z - 2*n**3*w + 3*n**3*z - 2*n**2*w + 1544*n**2*z - 2*w wrt n?
7362*w*z - 12*w + 18*z
Find the second derivative of -65*c**2*r**2 + 3*c**2*r*z + 10*c**2 - 2*c + 4*r**2*z + 3*r*z wrt r.
-130*c**2 + 8*z
What is | {
"pile_set_name": "DM Mathematics"
} |
o. What is prob of picking 1 c and 1 q?
5/153
Calculate prob of picking 2 j when two letters picked without replacement from jkjbbkijbssfk.
1/26
What is prob of picking 1 r and 1 y when two letters picked without replacement from yyfry?
3/10
Three letters picked without replacement from {v: 6, y: 3, k: 1, x: 9}. Give prob of picking 3 v.
20/969
Two letters picked without replacement from qllqll. Give prob of picking 2 q.
1/15
Three letters picked without replacement from {h: 1, k: 1, v: 4, b: 4}. What is prob of picking 2 b and 1 v?
1/5
Calculate prob of picking 1 s, 1 w, and 1 p when three letters picked without replacement from dpswxswcd.
1/21
Four letters picked without replacement from {w: 3, j: 2, g: 2, o: 1, r: 1, c: 3}. Give prob of picking 1 g, 1 r, 1 o, and 1 j.
4/495
Four letters picked without replacement from rjuirixuerir. What is prob of picking 1 u, 1 j, 1 x, and 1 e?
2/495
Calculate prob of picking 1 d, 1 v, and 2 g when four letters picked without replacement from {v: 2, d: 4, h: 2, g: 2}.
4/105
Three letters picked without replacement from {p: 2, w: 2}. Give prob of picking 2 w and 1 p.
1/2
Two letters picked without replacement from tldllkuktlludklkbt. What is prob of picking 1 d and 1 l?
4/51
Two letters picked without replacement from pspssisqropsosq. Give prob of picking 2 q.
1/105
What is prob of picking 2 d and 1 k when three letters picked without replacement from ddkddk?
3/5
Three letters picked without replacement from {q: 1, d: 8, a: 11}. What is prob of picking 1 q and 2 d?
7/285
What is prob of picking 1 t and 2 p when three letters picked without replacement from twpbepmt?
1/28
What is prob of picking 1 z, 1 u, and 1 x when three letters picked without replacement from xxukzuzuzzzzxu?
18/91
Two letters picked without replacement from {z: 4, h: 3, y: 2, f: 2}. Give prob of picking 1 z and 1 y.
8/55
What is prob of picking 1 b and 1 s when two letters picked without replacement from {h: 7, s: 2, b: 3, i: 8}?
3/95
Three letters picked without replacement from {u: 1, z: 2, b: 2, j: 1}. What is prob of picking 1 b and 2 z?
1/10
Four letters picked without replacement from kkjkkjkkkjkkkjkkkkk. What is prob of picking 4 k?
455/1292
Four letters picked without replacement from ccicciicci. Give prob of picking 2 i and 2 c.
3/7
Calculate prob of picking 1 p and 1 l when two letters picked without replacement from {p: 2, v: 2, h: 6, z: 1, f: 6, l: 1}.
2/153
What is prob of picking 1 i and 1 w when two letters picked without replacement from {o: 2, w: 2, d: 1, b: 7, u: 4, i: 4}?
4/95
Four letters picked without replacement from wywwwyywiwy. Give prob of picking 1 i and 3 y.
2/165
Three letters picked without replacement from {v: 2, s: 11}. Give prob of picking 1 s and 2 v.
1/26
Two letters picked without replacement from {h: 10, t: 10}. Give prob of picking 2 t.
9/38
What is prob of picking 1 z and 1 q when two letters picked without replacement from gqz?
1/3
Three letters picked without replacement from {t: 2, d: 17}. What is prob of picking 1 t and 2 d?
16/57
Calculate prob of picking 1 x and 1 l when two letters picked without replacement from yblxbmbbblmylsb.
1/35
Calculate prob of picking 2 g, 1 c, and 1 d when four letters picked without replacement from gdgdgggggdgggjgdcgd.
55/646
What is prob of picking 1 s and 3 p when four letters picked without replacement from spncssnpnpnspsnp?
5/182
Four letters picked without replacement from {a: 1, d: 5, w: 3}. What is prob of picking 3 d and 1 w?
5/21
Two letters picked without replacement from ejeurmrrurju. Give prob of picking 1 e and 1 j.
2/33
What is prob of picking 2 s and 1 e when three letters picked without replacement from sureses?
6/35
Two letters picked without replacement from eeeaeeeaaeeeeee. What is prob of picking 2 a?
1/35
Two letters picked without replacement from gjsskigli. What is prob of picking 1 g and 1 j?
1/18
Calculate prob of picking 2 k and 1 m when three letters picked without replacement from kkkmkkmkkkkkmkk.
198/455
What is prob of picking 2 g and 1 t when three letters picked without replacement from {c: 2, g: 4, t: 1, s: 4}?
2/55
Calculate prob of picking 3 a and 1 v when four letters picked without replacement from aaaaaavavaaaaaaaaaav.
8/19
What is prob of picking 1 v and 1 p when two letters picked without replacement from {v: 2, p: 4, u: 2, g: 2}?
8/45
Calculate prob of picking 3 c when three letters picked without replacement from {c: 11, o: 3, n: 1}.
33/91
Calculate prob of picking 2 q when two letters picked without replacement from dqpdqp.
1/15
What is prob of picking 3 y when three letters picked without replacement from yyyyyppyyyppypypypy?
220/969
Two letters picked without replacement from cpqeqpbpbppuq. What is prob of picking 1 b and 1 u?
1/39
Two letters picked without replacement from {g: 6, m: 3, o: 4, r: 1}. What is prob of picking 1 r and 1 g?
6/91
Two letters picked without replacement from uuzuuuuuuuuzzzuuuuu. Give prob of picking 2 u.
35/57
Four letters picked without replacement from {q: 4}. Give prob of picking 4 q.
1
Two letters picked without replacement from kokklokekoekoello. What is prob of picking 2 l?
3/136
Three letters picked without replacement from qbbhgbhbghbbqhvh. What is prob of picking 2 b and 1 q?
3/56
Calculate prob of picking 3 b and 1 u when four letters picked without replacement from {y: 1, n: 1, t: 1, u: 1, b: 3}.
1/35
Two letters picked without replacement from {r: 1, l: 2, f: 2, j: 1, o: 4, p: 5}. Give prob of picking 2 l.
1/105
Four letters picked without replacement from {w: 2, s: 9}. Give prob of picking 1 w and 3 s.
28/55
Two letters picked without replacement from vttvvlvvllvv. What is prob of picking 1 t and 1 l?
1/11
What is prob of picking 1 r and 2 f when three letters picked without replacement from {g: 4, r: 8, u: 1, f: 2}?
8/455
Two letters picked without replacement from rrrgevrevrnqvrgvq. What is prob of picking 1 r and 1 e?
3/34
Two letters picked without replacement from {p: 7, c: 2, e: 1}. What is prob of picking 2 p?
7/15
Two letters picked without replacement from cncnnccccnnncn. Give prob of picking 1 n and 1 c.
7/13
Three letters picked without replacement from {x: 5, s: 4, i: 3, u: 4, o: 3}. What is prob of picking 2 o and 1 x?
5/323
What is prob of picking 1 m and 1 p when two letters picked without replacement from {y: 4, p: 3, m: 1}?
3/28
Two letters picked without replacement from {l: 2, q: 1}. What is prob of picking 1 q and 1 l?
2/3
Three letters picked without replacement from {f: 2, e: 1, b: 2, u: 3, n: 6}. What is prob of picking 1 e, 1 f, and 1 u?
3/182
Calculate prob of picking 2 v, 1 z, and 1 l when four letters picked without replacement from {l: 1, v: 4, z: 2}.
12/35
Two letters picked without replacement from {i: 4, e: 3, m: 1, h: 2}. Give prob of picking 1 m and 1 i.
4/45
Two letters picked without replacement from {v: 3, b: 4}. Give prob of picking 2 b.
2/7
Two letters picked without replacement from {w: 5, b: 5, h: 1}. What is prob of picking 1 b and 1 w?
5/11
What is prob of picking 1 k and 2 l when three letters picked without replacement from {k: 4, l: 2}?
1/5
What is prob of picking 1 b and 1 j when two letters picked without replacement from {b: 3, j: 15}?
5/17
Three letters picked without replacement from {f: 9, m: 1, l: 4, d: 1}. What is prob of picking 3 f?
12/65
What is prob of picking 4 g when four letters picked without replacement from ggffbbgdg?
1/126
What is prob of picking 1 z, 1 k, and 2 e when four letters picked without replacement from zehkjueehzuh?
2/165
Calculate prob of picking 1 t and 1 n when two letters picked without replacement from nttxt.
3/10
Three letters picked without replacement from ffffnnfffffff. Give prob of picking 1 f and 2 n.
1/26
Three letters picked without replacement from {q: 3, k: 2, t: 4, i: 2, x: 7}. What is prob of picking 1 i and 2 x?
7/136
Two letters picked without replacement from {p: 4, x: 1, t: 2}. Give prob of picking 1 p and 1 x.
4/21
Four letters picked without replacement from {l: 4}. What is prob of picking 4 l?
1
Four letters picked without replacement from {n: 1, b: 9, v: 1, y: 1}. Give prob of picking 1 y, 2 b, and 1 n.
4/55
What is prob of picking 2 n when two letters picked without replacemen | {
"pile_set_name": "DM Mathematics"
} |
n + 6 - 5. Let i(c) = -c**3 + 4*c**2 + 2. Give i(q) + 2*o(q).
q**3 + 2*q**2 - 2*q
Let c(p) = -8*p + 290. Let h be c(36). Let o(s) be the first derivative of -9 + 0*s**3 + 0*s + 0*s**h - 1/4*s**4. Let k(x) = -x**2 - 1. Determine -k(a) - o(a).
a**3 + a**2 + 1
Let b(z) = -z - 2. Let f(x) = -3*x - 6. Let i(y) = -y**3 + 7*y**2 - 6. Let w be i(7). Let l be ((-3)/2)/((-6)/68). Determine l*b(c) + w*f(c).
c + 2
Let r(z) = -4*z + 14. Let q(b) = b + 3. What is 6*q(w) - r(w)?
10*w + 4
Let a(y) = -3*y - 2. Let q(j) = 50*j + 35. Let i be 6 + -87*11/(-33). What is i*a(x) + 2*q(x)?
-5*x
Let p(k) = -6*k**3 - 31*k**2 + 23*k. Let h(r) = 5*r**3 + 31*r**2 - 20*r. What is 7*h(z) + 6*p(z)?
-z**3 + 31*z**2 - 2*z
Let m(j) = -9*j + 33. Let v(b) = b - 4. Let i = -86 - -183. Suppose -5*u - 25 = 4*x + i, 2*x + 3*u = -60. What is x*v(t) - 4*m(t)?
3*t
Let s(g) = -60*g - 17. Let n(x) be the third derivative of -5*x**4/6 - x**3 + 363*x**2. Calculate 17*n(m) - 6*s(m).
20*m
Let u(q) = 15*q + 21. Let m(g) = 8*g + 11. Let d(p) = -11*m(p) + 6*u(p). Let y(h) = 649 + 5*h - 316 - 319. Determine 8*d(o) - 3*y(o).
o - 2
Suppose -3*h + 3*c = 12, 5*c - 9 - 16 = 0. Let u(x) = x**2 + 1. Let b(r) be the third derivative of -r**5/12 - r**4/12 - r**3/6 - 8*r**2. Give h*b(i) + 3*u(i).
-2*i**2 - 2*i + 2
Let d(i) = -19*i**3 - 12*i - 27. Let h(x) = -9*x**3 - 5*x - 13. Let y(f) = 4*d(f) - 9*h(f). Let q(p) = -p**3 + p - 2. Give 9*q(u) + 2*y(u).
u**3 + 3*u
Let s(d) = 2. Let w(j) = j + 4. Let q be w(0). Let i(g) = g + 3. Let l(a) = q*s(a) - 2*i(a). Let z(x) = -x + 1. What is -l(c) + 3*z(c)?
-c + 1
Let p be ((-12)/(-3))/(8/(-28)). Let m(u) = 20*u**2 + 14. Let l(f) = -f**3 - 7*f**2 + 6*f - 13. Let a be l(-8). Let g(i) = 4*i**2 + 3. Give a*m(d) + p*g(d).
4*d**2
Let t(r) = -r. Let o(p) = -2*p + 35. Determine o(u) - t(u).
-u + 35
Let j(i) = 9*i**3 + 3*i**2 + 4*i + 4. Let s(f) = -8*f**3 - 2*f**2 - 4*f - 3. What is -3*j(x) - 4*s(x)?
5*x**3 - x**2 + 4*x
Suppose -6*w + s - 12 = 0, 4*w + 84*s - 87*s + 8 = 0. Let a(q) = 0 + 4*q**3 - q**2 - 2 + 3*q**2. Let t(k) = 5*k**3 + 3*k**2 - 3. Determine w*t(x) + 3*a(x).
2*x**3
Let s(r) = 4*r + 5. Suppose 2*u = -3*m - 266 + 276, 4*m + u - 20 = 0. Let f(b) = -4*b - 6. Let j = -11 + 16. Calculate j*f(h) + m*s(h).
4*h
Suppose -20*q + 18*q = -12. Let c(z) = 5*z**3 - z - 2. Let g(o) = -4*o**3 + o + 1. What is q*g(d) + 5*c(d)?
d**3 + d - 4
Let a(t) be the first derivative of -7*t**2/2 - 4*t - 1725. Suppose 3*n + 0*n + 18 = 0. Let g(r) = -8*r - 5. Determine n*g(h) + 7*a(h).
-h + 2
Let v(q) = -4*q**2 + 60*q - 4. Let i(j) = -20*j**2 + 239*j - 17. Give -2*i(u) + 9*v(u).
4*u**2 + 62*u - 2
Let t(l) = -5*l + 7. Let m(a) = -3*a + 2*a - 3 + 1 + 4. Let x(z) = 2*z - 3. Let j(f) = -3*m(f) - 4*x(f). Give 7*j(p) - 6*t(p).
-5*p
Let x(w) = 3*w**3 - 2*w**2 + 4. Let h(y) = 3*y**3 - 3*y**2 + 4. Let g(p) = 2*h(p) - 3*x(p). Let v(r) = -14*r**3 - 21. Calculate 21*g(f) - 4*v(f).
-7*f**3
Let q(w) = 104*w**2 + 10*w - 287. Let k(o) = -20*o**2 - 2*o + 57. What is -11*k(j) - 2*q(j)?
12*j**2 + 2*j - 53
Let j(d) = 45*d**2 + 17*d - 64. Let m(q) = 9*q**2 + 3*q - 13. What is -2*j(t) + 11*m(t)?
9*t**2 - t - 15
Suppose 4*u = 44 + 152. Suppose 3*n = -5*t - 162 + u, -5*n = -4*t - 120. Let v(p) = 35*p**3 - 25*p**2. Let a(f) = -3*f**3 + 2*f**2. Give t*a(c) - 2*v(c).
5*c**3
Let p = 713 - 707. Let h(g) = -7*g**2 - 5*g + 5. Let a(y) = y**2 + y - 1. Calculate p*h(b) + 30*a(b).
-12*b**2
Let l(v) = -22*v - 38. Let j be l(-2). Let y(x) = x - 7. Let h(a) = a - 1. Determine j*h(w) - y(w).
5*w + 1
Let x(q) = q**2 + 7*q + 2. Let d(w) be the second derivative of w**4/6 + 13*w**3/6 + 5*w**2/2 + 627*w. Determine -2*d(p) + 5*x(p).
p**2 + 9*p
Let v(k) = -1. Let p(g) = -3*g + 3*g + g. Let s(l) = 10 - 65*l - 62*l + 130*l. Let c be s(-3). Give c*v(y) - 2*p(y).
-2*y - 1
Let h(w) = -3*w**2 - 5*w - 3. Let j(y) = y**2 + y + 1. What is h(b) + 4*j(b)?
b**2 - b + 1
Suppose -6*b + 2 = -7*b, 4*b + 29 = 3*h. Let x(k) = k**2 + 6*k - 7. Let g(f) = -2*f - f - 4*f**2 + 5 - f + 3*f**2. Give h*g(p) + 5*x(p).
-2*p**2 + 2*p
Let u(k) = -169692*k - 2133. Let o(j) = 478*j + 6. Calculate 711*o(p) + 2*u(p).
474*p
Let p(f) = -f**3. Let o(x) = 6*x**2 - 6. Let j(k) = o(k) - 2*p(k). Let i(t) = 19416*t + 7*t**2 - 7 - 19416*t + 2*t**3. What is 5*i(w) - 6*j(w)?
-2*w**3 - w**2 + 1
Let i(p) = 13*p - 4. Let s(n) = 64*n - 20. Determine 16*i(u) - 3*s(u).
16*u - 4
Let h(t) = 114*t**2 + 2*t. Let v(a) = -29184*a**2 - 513*a. Calculate 1026*h(j) + 4*v(j).
228*j**2
Let i(y) = -107. Let r(w) = w + 3. What is -i(o) - 2*r(o)?
-2*o + 101
Let u(i) = 19*i + 5. Let j(d) = 56*d + 14. Determine -6*j(r) + 17*u(r).
-13*r + 1
Let s(c) = 5*c**3 - 2*c + 3. Let t(f) = 4*f**3 - 2*f + 5. Determine -6*s(m) + 4*t(m).
-14*m**3 + 4*m + 2
Let u(j) = 17*j - 11. Let w(f) = -5*f + 3. Let l(o) = -2*u(o) - 7*w(o). Let n(t) = -t**3 - 2*t - 2. Let k be (-10)/4 - 2/(-4). What is k*l(x) - n(x)?
x**3
Let w = 998 + -994. Let x(n) = n**2 - n - 1. Let k(h) = -4*h**2 - 4*h - 2. Calculate w*x(i) - k(i).
8*i**2 - 2
Let k(j) = j**3 + j**2 - j - 1. Suppose 78 = 37*o + 4. Let z(y) = y**2 - 2*y - 2. Calculate o*z(f) - 2*k(f).
-2*f**3 - 2*f - 2
Let k(y) = -y + 1. Suppose -q - 5*g = -3, 5*q + 2*g - 15 = 6*g. Let n(v) be the third derivative of -v**4/24 + v**3/3 - 13*v**2. Determine q*k(f) - 2*n(f).
-f - 1
Let f(w) = -2*w + 0*w - w. Let u = -7 - -5. Let j be (-11)/(15/(-5) + 2). Let b(v) = -16*v. Determine j*f(i) + u*b(i).
-i
Let l(v) = 3*v**3 - 5*v + 3. Let z(k) = -2*k**2. Let s(m) = -m**3 + 6*m**2 + m. Let x(b) = -s(b) - 3*z(b). Suppose 0 = -2*d - 1 - 1. Determine d*l(f) + 5*x(f).
2*f**3 - 3
Let q(v) = 3*v**2 + 1. Let c be q(1). Let z(j) = j**2 + 6*j - c*j + j**2 + j**3. Let h(d) = 70*d**3 + 9*d**2 + 9*d - 136*d**3 + 71*d**3. Give -2*h(o) + 9*z(o).
-o**3
Let w(b) = -8*b + 264. Let s(i) = 2*i. Determine -5*s(k) - w(k).
-2*k - 264
Let y(c) = -11*c - 199. Let k(g) = -2*g - 2. Give 6*k(i) - y(i).
-i + 187
Let p(o) be the first derivative of -o**4/4 - 4*o**3/3 + o**2/2 - o + 161. Let q(a) = -a**3 - 3*a**2. Give -3*p(c) + 4*q(c).
-c**3 - 3*c + 3
Let s(b) = -31*b**2 + 24*b + 82. Let j(x) = -10*x**2 + 7*x + 27. Give 7*j(q) - 2*s(q).
-8*q**2 + q + 25
Let x(o) = o. Let n(l) = -10*l + 1. Let t be (-20)/(-100)*(0 - 10). What is t*x(k) + n(k)?
-12*k + 1
Let r(n) = -2*n + 6. Let u(l) = -2*l + 5. Suppose 21*t - 16*t + 60 = 0. Let k be (13 + t)*14/2. What is k*u(w) - 6*r(w)?
-2*w - 1
Let m(z) = 7*z**3 + 26*z**2 + 4*z - 8. Let u(n) = 12*n**3 + 52*n**2 + 7*n - 15. Calculate 7*m(c) - 4*u(c).
c**3 - 26*c**2 + 4
Let n(u) be the first derivative of 5*u**4/4 + 5*u**2/2 - 6*u + 76. Let d(b) = b - 1. What is -6*d(c) + n(c)?
5*c**3 - c
Let b(r) = r. Let o(u) = -264*u + 3 - 3 - 260*u + 530*u. Let f(w) = 4*w - 6. Let i be f(4). Give i*b(x) - 2*o(x).
-2*x
Let p(m) = 7*m - 12. Let y(d) = 8*d - 13. Give -7*p(n) + 6*y(n).
-n + 6
Let h(l) = 432*l - 1. Let k(n) = -432*n + 1. Give -5*h(d) - 6*k(d).
432*d - 1
Let r(u) = -u**2 + 2*u**2 + u**2 - 3*u - 3*u + 3. Let k be 1 + 0 - -7*(-14)/49. Let c(b) = b**2 - b + 1. Calculate k*r(y) + 4*c(y).
2*y**2 + 2*y + 1
Let m(j) = -j - 1. Let a(q) = -17. Let y(i) = -48. Let r(l) = 17*a(l) - 6*y(l). What is -2*m(h) - 4*r(h)?
2*h + 6
Suppose 5*s - 3*w + 54 = 2*s, -3*w = -s - 20. Let b(x) = -11*x - 26. Let g(r) = 4*r + 9. Calculate s*g(n) - 6*b(n).
-2*n + 3
Suppose 0 = -3*y - 2 - 7. Let b = -4 + 3. Let q(i) = 2*i**2 + 3*i + 3. Let f(z) = -z - 1. Determine b*q(d) + y*f(d).
-2*d**2
Suppose 3*b + 4*y - 6 = 0, 5*y + 15 = -0*y. Let p(n) = 3*n**3 + 6*n**2 + 6. Let q(r) = 4425*r**2 + 3 - 4424*r**2 - 2. Give b*q(f) - p(f).
-3*f**3
Let y(c) = 4*c**2 + 2*c - 2. Suppose -238*q + 227*q + 154 = 0. Let n(d) = -9*d**2 - 5*d + 5. Calculate q*y(h) + 6*n(h).
2*h**2 - 2*h + 2
Let a(u) be the first derivative of 3*u**2/2 - 3*u - 184. Let h(d) = d - 1. Let f(b) = b - 1. Let v(g) = -6*f(g) - h(g). Calculate -9*a(w) - 4*v(w).
w - 1
Let j(t) = -t**2 + t. Let p(u) = u**2 - 3*u - 1. Let i(r) = 4*j(r) + 3*p(r). Let c(n) = -2*n**2 - 6*n - 4. Determine 4*c(m) - 6*i(m).
-2*m**2 + 6*m + 2
Let x(r) = r + 1. Suppose 0 = -4305*l + 4295*l + 30. Let s(j) = j + 1. Let h be ((-2)/(-3))/(4/(-12)). Let f = h + 0. What is f*s(b) + l*x(b)?
b + 1
Let q(t) = -7*t**3 - 11*t**2 - 5*t - 5. Let i(x) be the third derivative of x**6/15 + x**5/5 + x**4/4 + x**3 + 10* | {
"pile_set_name": "DM Mathematics"
} |
Express -2*t + 4*t + 2*t + 2*t as p*t + i and give p.
6
Express -3*i - 1 + 7*i**3 - 1 + 3*i - 2*i as w*i**3 + h*i + l + o*i**2 and give w.
7
Rearrange (0 - 3 + 5)*((2 + 0 - 3)*(v - 3 + 3) - 4*v + v - v)*(3*v**2 - 2*v**2 - 2*v**2) to the form x*v + a + m*v**3 + p*v**2 and give m.
10
Express -15 + 11 + 4*j + 4 in the form n + m*j and give m.
4
Rearrange -3*n**2 + 80 - 84 + n**2 - n to w*n + q + z*n**2 and give z.
-2
Express -17*h - 76 + 76 in the form a*h + v and give a.
-17
Rearrange 131*i + 5 - i**2 + 124*i - 255*i to the form t*i**2 + d*i + l and give l.
5
Rearrange (2*n + 3 - 3)*(-1 + 5 - 3) + (-4*n + 2*n - n)*(4 - 1 + 1) to the form f + d*n and give f.
0
Express (-1 + 3*v + 2*v + 2)*(-5 + 3 + 1)*(2 - 2 + 2*v) in the form q + c*v**2 + i*v and give c.
-10
Rearrange 14*j + 8*j - 24*j + 8 + 18 to the form s*j + m and give s.
-2
Express 2*b**2 + 5*b**2 - 9*b**2 + 69 - 7 as m*b + h*b**2 + t and give h.
-2
Rearrange -7 + 1 + 6 - 7*m**2 to y + b*m**2 + h*m and give b.
-7
Express -1 + 2*u**3 - 3*u**3 + 667*u + u**2 - 665*u in the form p + w*u**2 + o*u**3 + g*u and give o.
-1
Express (-5 + 5 - 2*b)*(-10*b - 1 + 8*b - 1) as d*b + y + h*b**2 and give h.
4
Express (3 - 2 - 4)*(-4 + 0 + 2)*(18 + 16*d - 18) as c*d + u and give c.
96
Rearrange -m**3 - 3*m + 50*m**2 - 94*m**2 + 1 + 47*m**2 to g + i*m**3 + q*m + f*m**2 and give q.
-3
Express -1 + 9*y - 2*y + 7 in the form g*y + j and give j.
6
Rearrange 8 + 66*g**2 + 0 - 8 to t + x*g**2 + z*g and give x.
66
Rearrange 10*c**2 - 3*c**2 + 2*c**2 + (-3*c + 4*c - 2*c)*(-2*c - 4 + 4) to the form p*c**2 + x*c + g and give p.
11
Express (0*i - 2*i + i + (2*i + 4 - 4)*(-2 + 0 + 0))*(0 - 4 + 2) in the form l*i + q and give l.
10
Express -6*u**2 - u**3 - u**3 + u**2 as k*u**3 + b*u**2 + d + q*u and give b.
-5
Rearrange (0 + 0 + 1)*(2 + 6*v - 47*v - 62*v) to the form u*v + w and give w.
2
Rearrange 0*t**4 - 2*t**4 + 0*t**4 + (-2*t**3 + 3*t**3 - 2*t**3)*(63*t + 12*t + 16*t) to y*t**4 + g*t**3 + b*t + o + k*t**2 and give b.
0
Rearrange (-1706 + 1706 - 118*i - i**2)*(-4*i + i + i) + 0 + 0 + i**3 to the form g + k*i**2 + b*i + s*i**3 and give k.
236
Express -2*r**2 + 10*r + 9*r - 4*r**3 + 3*r**2 + 1 + 7*r**3 as c + u*r + d*r**3 + v*r**2 and give v.
1
Rearrange (-2 - 3 + 4)*(h + h - h) + (-3 + 0 + 5)*(h - 2 + 2) to the form c*h + l and give c.
1
Rearrange 1 + 20 - u**3 + 1 + 3*u**2 - 2*u**3 - 3*u**2 - 2*u**3 - 3 + 3 + (6*u**2 - 2*u**2 - 2*u**2)*(4 - 4 - 2*u) to r*u + d*u**2 + l + a*u**3 and give d.
0
Express -3*u**4 + 3*u**3 + 2*u**3 + 0*u**3 - 6*u**3 + 1 in the form m*u + i*u**2 + c + w*u**3 + l*u**4 and give l.
-3
Express (3 - 4 + 0)*(-53 - 96 + 294)*(-1 - x + 1) in the form o + r*x and give r.
145
Express (-2 + 2 - 1 + (-4 - 3 + 2)*(-1 + 3 + 0))*(4*f**3 - 2*f**3 - f**3) as d*f**3 + i*f**2 + z*f + h and give d.
-11
Express -3*a**3 + 6 - 2*a**2 + a**2 + a**3 in the form l*a + d*a**3 + c*a**2 + v and give v.
6
Rearrange (-3 + 3 + 2*y**3)*(2*y + 2 - 2) + (3 - 3 - y)*(-4*y**3 + 2 - 2) to a*y**3 + z*y + g*y**4 + p*y**2 + u and give g.
8
Rearrange -2 + 2 + 536*i**2 - 385*i**2 to the form d*i**2 + s*i + r and give d.
151
Express (-2 + 0 + 0)*(6*d + 6*d + 3*d + 4 - d - 4 - 3*d - 3*d + 5*d + (-3 + 2 - 1)*(-3*d + d + 3*d)) as a*d + v and give a.
-22
Rearrange 10*k - 1 - 5*k - 6*k to d + m*k and give m.
-1
Express 4 - g + 0 + 4*g**2 - 2 + 3 as x*g**2 + p*g + i and give i.
5
Rearrange -7*a**3 + a**2 + 0*a**3 + 6*a**3 + 2*a + 0*a to the form t + f*a**3 + k*a + l*a**2 and give f.
-1
Rearrange (2*o + 0*o - o)*(80*o - 26*o - 27*o) + 2*o**2 - 3*o + 3*o to x + t*o**2 + j*o and give t.
29
Express (0 - 4 + 0 + (5 - 1 - 2)*(-2 - 2 + 3))*(0*b + 0*b - b) as o + m*b and give m.
6
Rearrange (5*j**3 + j**3 - j**3)*(j + 2*j - 4*j) + j**4 + 4*j**3 - 4*j**3 to k*j**2 + z + b*j**4 + o*j + t*j**3 and give b.
-4
Express 2*r**3 + 3*r - 1 - 2*r**3 + r**3 as g*r**3 + q*r + o*r**2 + h and give h.
-1
Rearrange (q - 3 + 3)*(20*q - 33 + 33) to the form s + o*q + h*q**2 and give h.
20
Rearrange 47 - 47 + 2*u to the form t + v*u and give v.
2
Rearrange (-c + 2*c**2 - c + c)*(-56*c - 16*c + 4*c) to b*c**2 + r + y*c + v*c**3 and give b.
68
Express 6 + 2*w - 2*w**3 - 3*w + 13 - 21 as r + a*w**2 + z*w**3 + k*w and give r.
-2
Express 0*m + m + 7*m**2 + 10*m**2 - 6*m**2 in the form g*m + n*m**2 + r and give n.
11
Express (z - 2*z + 0*z)*(-17 + 10 - 20) as a*z + i and give a.
27
Express -i**2 - 2*i**4 - 2*i**3 - 1029 + 1029 in the form c + t*i**3 + p*i**2 + m*i**4 + y*i and give p.
-1
Rearrange -2*j**2 - j + j - 4*j**3 + 2*j**3 to v + b*j**3 + z*j + t*j**2 and give t.
-2
Rearrange (-1 - 10 - 1 + (0 - 2 + 1)*(0 - 1 + 0))*(-2*x + 2*x - x)*(-4 + 4 - 4) to the form q + c*x and give c.
-44
Express -5*m + 125*m**3 - 63*m**3 - 63*m**3 as f*m + x*m**2 + o*m**3 + j and give o.
-1
Rearrange (-3 + 3 - 2)*(-3 + 8 - 2)*(2*p**3 + 2*p**3 + 0*p**3) to the form t*p + q + l*p**2 + y*p**3 and give y.
-24
Express (-6*o**3 + 2*o**3 - 3*o**3)*(1 + 1 - 4) + o**3 + 0*o**3 - 3*o**3 as a*o + m*o**2 + s*o**3 + x and give x.
0
Express (2*b - 3*b + 3*b)*(-5*b + 18 - 5 + 3*b + 3*b - 2*b - 3*b + (0 + 3 - 5)*(-3 + 3 - b) + 0*b - 2*b + 3*b - 4*b - b + 3*b) as x*b**2 + j*b + s and give j.
26
Express (m + 0*m - 3*m)*(36*m**3 + 29*m**3 - 70*m**3) + (m - m + m**2)*(4 - m**2 - 4) in the form o + u*m**2 + h*m**3 + c*m**4 + q*m and give c.
9
Express -17*u**2 + 3*u + 9*u**2 + 4*u**2 - u**3 + 5*u**2 in the form h + w*u + n*u**3 + m*u**2 and give n.
-1
Express 44*j - 22*j - 20*j - 57 as n*j + v and give v.
-57
Rearrange 6*j - 4*j + j - 7*j + 4*j + 24*j + 2*j + 2 - 2 + (5 - 3 - 4)*(-3*j + 4*j - 2*j) to s*j + a and give s.
28
Express 2*r**2 + 5 - r**4 - 75*r**3 + 2*r + 75*r**3 in the form t*r**3 + n*r**4 + c*r + b + g*r**2 and give g.
2
Rearrange (3*p**2 - 3*p**2 + p**2)*(-5*p + 2*p + 2*p)*(-3*p - 3*p - 8*p) to the form c*p**3 + j*p + r*p**2 + n*p**4 + v and give n.
14
Express (-1 + 1 + 2)*(-3*g + 53 - 30 - 26) in the form f*g + m and give m.
-6
Express 1 - 1 - f + 2*f as u + a*f and give u.
0
Express -12*s**2 - 11*s**2 + 4*s**2 in the form x + v*s + o*s**2 and give v.
0
Express 5*o**4 - o**3 + 0*o**4 - o + 4 + 3*o**3 - 6*o**4 in the form w*o + f*o**4 + h + p*o**2 + q*o**3 and give q.
2
Rearrange 3 + 2*q**3 - q**3 - 6*q**2 + 13*q**2 - 2 to the form y*q**2 + u*q + l*q**3 + g and give l.
1
Express 47 - 47 - 36*j - 90*j in the form n + q*j and give q.
-126
Express 15*d + 22*d - 9*d in the form o + a*d and give a.
28
Express -4 - p**2 + 7 - 2*p**4 - 78*p - 2*p**3 + 79*p in the form u*p + a*p**2 + k + x*p**3 + l*p**4 and give k.
3
Rearrange -21 - 16*i**2 + 7 + 1 + 11 to z*i + m + l*i**2 and give m.
-2
Express 0 + 0 - s**3 + (2*s + s - s)*(-2 - 1 + 1)*(-395*s - 8*s**2 + 395*s) in the form n + m*s**2 + d*s**3 + a*s and give d.
31
Rearrange 35 - 66 + 25*m + 31 to the form y*m + k and give y.
25
Rearrange -2*z - z - 6*z**4 + z**2 + 4*z**4 to x*z + s*z**4 + r*z**2 + j*z**3 + h and give r.
1
Express 0*r**4 - 3*r**2 - 4*r**4 + r**2 + 2 - 3*r**3 + 3*r**4 in the form u*r**4 + x + b*r**3 + t*r**2 + j*r and give t.
-2
Rearrange 1 + 4*b**3 + 6*b**3 - 12*b + 27*b**3 + 10*b - b**2 to the form p + r*b**3 + u*b**2 + i*b and give p.
1
Rearrange (3 + 4 + 14)*(-2 + 5 - 2)*(-3*i + 5*i - i) to the form s + a*i and give a.
21
Rearrange -3 + 3 - 3*w**2 + (2*w**2 + 2*w**2 + 4*w**2)*(1 + 1 + 0) + w - w - 2*w**2 to r*w + y + n*w**2 and give n.
11
Rearrange 8 - 5 - r + r**3 - 5 to y*r**3 + w*r + z + u*r**2 and give w.
-1
Express ((3 - 3 - 1)*(-s - s + 0*s) + (5*s - 2*s - 2*s)*(2 + 2 - 5))*(-12 + 12 - s**2) as v + q*s**2 + l*s + z*s**3 and give z.
-1
Express (0 + 0 + 2)*(-h - 3*h + 2*h) + (2 + 0 - 4)*(-h + 2*h + h) + 5 + 2*h - 5 + h - 7*h - 2*h as w + b*h and give w.
0
Rearrange -286*y**2 + 573*y**2 + 4*y - 1 - 288*y**2 to the form g*y**2 + k + h*y and give k.
-1
Rearrange -n**4 - 7*n**3 + n**3 - 10 + 2*n**4 - 3 to f*n**2 + y*n**4 + d*n**3 + k*n + z and give d.
-6
Rearrange (3 + 4 - 6)*(-3*w**4 - 2*w**4 + 7*w**4) - w**4 - 2*w**4 + 0*w**4 + 9*w**4 - 7*w**2 + 7*w**2 to i*w**3 + u + x*w**2 + v*w**4 + q*w and give v.
8
Express 62*j - 63*j - 1 + 0*j**3 + 42*j**4 + 0*j**3 as s*j + g*j**4 + d*j**2 + r*j**3 + h and give s.
-1
Express -h**4 + 0*h**3 + 5*h**3 + h**3 - 2 - 2*h**3 as w*h**4 + s*h + f*h**2 + p + z*h**3 and give z.
4
Rearrange 1 - k - k** | {
"pile_set_name": "DM Mathematics"
} |
et m(o) = -o**2 + 107*o + 7. Let a(n) = n**2 - 106*n - 6. Calculate 7*a(q) + 6*m(q).
q**2 - 100*q
Let w(y) = y**3 + 1. Suppose -4*d - 5 = d. Let k(a) = a**3 + 7*a - 1. Let t(q) = q**3 + q + 1. Let l(u) = d*k(u) + 4*t(u). What is l(p) - 5*w(p)?
-2*p**3 - 3*p
Let y(r) = 95*r**3 + 35*r. Let m(q) = -8*q**3 - 3*q. Let w be (-156)/16 + 9 + (-9)/4. Determine w*y(l) - 35*m(l).
-5*l**3
Let f(r) = -9. Let x(l) = -19. Let b(o) = -5*f(o) + 2*x(o). Let q(z) = -8. Let p(v) = 7*b(v) + 6*q(v). Let w(g) = 2*g - 9. Give -18*p(d) - 2*w(d).
-4*d
Let d(w) = w**2 + 1. Let g(p) = 2*p**2 - 9*p - 15. Let b be g(8). Let m = 42 - b. Let c(q) = q**2 - 1. Calculate m*c(j) + d(j).
2*j**2
Let k(w) be the second derivative of w**3/6 + w**2/2 + 16*w. Let y(v) = -v**3 - 10 + 5 - 2*v + 3. Determine 2*k(s) + y(s).
-s**3
Let j(b) be the second derivative of b**5/20 + b**4/12 - 521*b. Let c(y) = -4*y**3 - y**2 + y. Determine c(m) + j(m).
-3*m**3 + m
Let h(f) = 2*f**3 + 85*f**2 + 4*f. Let b(p) = 2*p**3 + 87*p**2 + 3*p. Give 3*b(u) - 2*h(u).
2*u**3 + 91*u**2 + u
Let n(d) = 30*d**2 + 1. Let v(j) = 325*j**2 - 55*j - 55. Let k(h) = 12*h**2 - 2*h - 2. Let l(w) = -55*k(w) + 2*v(w). What is -7*l(z) - 2*n(z)?
10*z**2 - 2
Let o be -13 - -10 - (4 - 1)*-2. Let r(m) = 2*m + 3. Let b(s) = -5*s - 8. Let l(w) = o*b(w) + 8*r(w). Let y(h) = 4*h + 2. Determine l(v) - y(v).
-3*v - 2
Let k(y) = -20*y**2 - 17*y + 9. Let h(q) = 11*q**2 + 8*q - 5. What is 5*h(d) + 3*k(d)?
-5*d**2 - 11*d + 2
Let v(n) = -2*n**3 - 6*n**2 + 3*n + 6. Let h(y) = 2*y**3 + 5*y**2 - 3*y - 5. Let l = 496 - 501. Determine l*v(t) - 6*h(t).
-2*t**3 + 3*t
Let o(z) = z**2 + z + 6. Let v be o(-3). Let m be v/(((-16)/24)/((-1)/3)). Let a(f) = -2*f - 2. Let q(b) = -2*b - 3. What is m*a(t) - 4*q(t)?
-4*t
Let r(p) = -2096*p**2 + 14. Let s(t) = 3145*t**2 - 22. Determine -8*r(n) - 5*s(n).
1043*n**2 - 2
Let k(x) = -805*x + 92. Let f(v) = -3 + 56*v - 11*v - 8*v - 21*v + 10*v. Determine 92*f(s) + 3*k(s).
-23*s
Let t(g) = 0*g - 25 - 14*g - 6*g. Let l be 96/168 + 38/7. Let h(p) = -5*p - 6. What is l*t(z) - 25*h(z)?
5*z
Let b(r) = -7*r**3 - 5*r**2. Let u(f) = f + 15. Suppose -h - 2 = 17. Let s be u(h). Let n(j) = 6*j**3 + 4*j**2. Determine s*b(q) - 5*n(q).
-2*q**3
Let g(h) = 366*h - 8. Let j(t) = 6220*t - 140. Calculate -35*g(b) + 2*j(b).
-370*b
Let a(k) = 3*k**2 - 13*k - 5. Let v(b) = 3*b**2 - 13*b - 4. Determine 6*a(g) - 7*v(g).
-3*g**2 + 13*g - 2
Let f(s) = -6*s**2 - 16*s - 3. Let b(x) = -14*x**2 - 32*x - 8. Calculate -2*b(v) + 5*f(v).
-2*v**2 - 16*v + 1
Let z(f) = 2*f**2 - 4*f + 2. Let i be (1/4*-6)/(27/(-18)). Suppose 0 = -w - 2, -j + w = -4*j + i. Let o(q) = -q + 1. What is j*z(k) - 2*o(k)?
2*k**2 - 2*k
Let s(b) = -3*b. Let w(x) = 689*x. Give -6*s(d) - w(d).
-671*d
Let p(i) = 8*i + 4. Let a(s) = -s - 1. Let c be ((-296)/40 + 7)*-10. Give c*a(d) + p(d).
4*d
Let o(z) = z + 1. Let n(j) = -287*j**2 + 35*j + 35. Determine -n(t) + 35*o(t).
287*t**2
Let d(k) = -11*k**2 + 10*k + 27. Let n(s) = -8*s**2 + 11*s + 26. Determine -2*d(o) + 3*n(o).
-2*o**2 + 13*o + 24
Let r(o) = -o**3 - o. Suppose -152 = -2*d - 3*k, 2*d + 5*k - 152 = 8*k. Let u = d + -80. Let v(z) = 2*z**3 + 4*z - 2. Determine u*r(j) - v(j).
2*j**3 + 2
Let a be 4*3*3/9. Suppose -2*z - 1 = -5. Let s(j) = -z*j**2 - 6*j**3 + 0*j + 0*j + 1 + 11*j**3. Let c(v) = -14*v**3 + 5*v**2 - 3. Calculate a*c(d) + 11*s(d).
-d**3 - 2*d**2 - 1
Let z(f) = -f**2 + 5*f + 4. Let a(r) be the second derivative of r**3/6 + r**2/2 - 28*r. Let u be (-9)/(-27) - (-4)/6. What is u*z(s) - 5*a(s)?
-s**2 - 1
Let v(r) = 6*r**2 - 3*r. Let p(i) = 7*i**2 - 2*i. What is 4*p(w) - 3*v(w)?
10*w**2 + w
Let v(k) = 11*k**2 + 52*k - 34. Let d(b) = 5*b**2 + 26*b - 15. Give 13*d(q) - 6*v(q).
-q**2 + 26*q + 9
Let c(f) = -17*f**3 - 6*f**2 + 4*f - 4. Let q(u) = 34*u**3 + 13*u**2 - 7*u + 7. Give 7*c(w) + 4*q(w).
17*w**3 + 10*w**2
Let a(f) = -3*f**2 - 9*f + 3. Let p(u) = 2*u**2 + 5*u - 2. Let l(i) = -i - 3. Let m be l(-6). Suppose m*d + 2*d = 3*y, d - 2 = y. What is y*p(j) - 3*a(j)?
-j**2 + 2*j + 1
Let i = -18 + 30. Let h(p) = -34*p + i*p - 4 + 21*p. Let d(r) = r + 5. Suppose 0 = -f - 0 + 5. What is f*d(q) + 6*h(q)?
-q + 1
Let m(w) = -508*w + 11. Let t(q) = 102*q - 2. What is 2*m(z) + 11*t(z)?
106*z
Let t = -1049 - -1057. Let g(w) = -15*w**2 + 5*w. Let a(f) = -5*f**2 + 2*f. Calculate t*a(z) - 3*g(z).
5*z**2 + z
Let j(p) = 5*p. Let x(g) = 864*g + 1. Give -4*j(u) - x(u).
-884*u - 1
Let t(b) = b**3 + b + 2. Let f(z) = -44*z + 2*z**3 + 1 + 25*z - 1 + 2 + 20*z. Determine -4*f(a) + 5*t(a).
-3*a**3 + a + 2
Let s(c) = 4*c - 2. Let m = 36 - 36. Let a be 2*(2 - (m - -3)). Let v(n) = -9*n + 4. What is a*v(h) - 5*s(h)?
-2*h + 2
Suppose 0 = i - 2*k + 3, -4*i + 4*k = i + 9. Let s(u) = u + 1. Let p(l) = 10*l - 1052 + 359 + 350 + 349. Give i*p(c) + 6*s(c).
-4*c
Let x(o) = 8*o**2 + 5*o. Let t be (-7)/(-49) + (-153)/(-7). Suppose 2*q + 26 = t. Let n(v) = 4*v**2 + 2*v. What is q*x(r) + 5*n(r)?
4*r**2
Let r(s) = -19*s**3 - 7*s + 7. Let x(v) be the third derivative of -v**6/20 - v**4/12 + v**3/3 + 97*v**2. Give 2*r(y) - 7*x(y).
4*y**3
Let u(k) = k + 4. Let j(x) = -11*x - 17. Let v = 15 + -21. Let o(r) be the first derivative of -r**2/2 + 3. Let i(n) = v*o(n) + j(n). Give 2*i(w) + 9*u(w).
-w + 2
Let w(i) = 148*i + 7. Let z(x) = 99*x + 5. Determine -5*w(m) + 7*z(m).
-47*m
Let w(f) = f**3 + 2*f**2 - 2. Let x(d) be the second derivative of -3*d**5/20 - 5*d**4/12 + 5*d**2/2 - 59*d. Calculate -5*w(p) - 2*x(p).
p**3
Let n(x) = 37*x**2 - 4*x - 11. Let q(o) = -12*o**2 + o + 4. Calculate 4*n(y) + 11*q(y).
16*y**2 - 5*y
Let q(d) = -97*d**2 - 6*d + 2. Let w(k) = -286*k**2 - 17*k + 6. What is -11*q(b) + 4*w(b)?
-77*b**2 - 2*b + 2
Let i(t) = t**2 + 7*t + 5. Let w be i(-7). Let l(j) = -3 + 1 + w + j. Let m(o) = -o - 3 + 3 - 2. Calculate -2*l(k) - 3*m(k).
k
Let c(k) = -k**3 - 2*k**2 - 1. Let j(l) = -4*l**3 - 7*l**2 + l - 2. Let g = 427 + -425. What is g*j(a) - 7*c(a)?
-a**3 + 2*a + 3
Let y(z) = 2*z + 2. Let h(d) = d - 3*d - 9*d + 10*d - 1. Let w(x) = -x**3 + 9*x**2 - 10*x + 12. Let j be w(8). Determine j*y(m) - 9*h(m).
m + 1
Let j be (-3 - (0 + (-1)/(-2)))*2. Let x(p) = -11*p + 9. Let k(c) be the first derivative of 3*c**2 + 0 + 7*c + 1 - 12*c. Give j*k(h) - 4*x(h).
2*h - 1
Let m(t) = t**2 + t + 1. Let v(b) = -b**3 + 3*b**2 - 38*b - 1. Give -m(l) + v(l).
-l**3 + 2*l**2 - 39*l - 2
Let t = -78 - -80. Let b be (-3)/2*(8/t + -2). Let x(l) = -2*l + 1. Let s(g) = g. Calculate b*s(q) - 2*x(q).
q - 2
Let f(j) = -3*j**3 + 2*j**2 + 3*j - 2. Let c(s) be the third derivative of -s**6/30 + s**5/30 + s**4/6 - s**3/2 + 178*s**2. Give 2*c(u) - 3*f(u).
u**3 - 2*u**2 - u
Let u(f) be the first derivative of 9*f**2/2 - 9*f + 1086. Suppose -16 + 1 = -5*b. Suppose 19 = -b*q + 4. Let t(w) = 4*w - 4. Determine q*t(i) + 2*u(i).
-2*i + 2
Let n(t) be the third derivative of t**4/8 + 23*t**3/6 - 145*t**2. Let a(w) = -w - 8. Give 17*a(v) + 6*n(v).
v + 2
Let q(i) = 6*i**2 + 7*i + 5. Suppose -30*s - 25*s - 275 = 0. Let y(l) = 3*l**2 + 4*l + 3. Determine s*y(v) + 3*q(v).
3*v**2 + v
Let k(i) be the second derivative of i**5/5 + i**4/3 - 2*i**3/3 + i**2 - 91*i. Let j(r) = -8*r**3 - 7*r**2 + 7*r - 4. Give 4*j(x) + 7*k(x).
-4*x**3 - 2
Suppose n + 5*i - 23 = 0, 0*i - 20 = -4*n + 4*i. Let j(w) = -n*w - 3*w + 9*w. Let o(y) = -5*y. Determine -7*j(a) + 3*o(a).
-a
Let g(v) = 19*v**2 - v + 6. Let u(o) = -35*o**2 + 2*o - 11. What is -11*g(s) - 6*u(s)?
s**2 - s
Let u(i) = 21*i + 27. Let n(r) = -3*r - 4. Let y(l) = 27*n(l) + 4*u(l). Let o(t) = -9*t. Let s(p) = -p - 15. Let b be s(-19). Give b*o(g) + 11*y(g).
-3*g
Let t(g) = -9*g**2 - 78. Let i(l) = 7*l**2 + 76. What is 5*i(c) + 4*t(c)?
-c**2 + 68
Let w(i) be the third derivative of i**3/6 + 32*i**2. Let h(g) = 2*g + 4. Determine -h(f) + 5*w(f).
-2*f + 1
Let q(w) = w**3 + 5*w + 5. Let i(p) = p**2 + 6*p. Let a be i(-7). Let h(d) = -a*d**3 + d - 7*d - 6 + 6*d**3. Determine -4*h(l) - 5*q(l).
-l**3 - l - 1
Let x(j) = -j + 1. Let o = 3 - 2. Let y(c) = 1025*c + 3*c**2 + 7 + 1029*c - 2058*c. What is o*y(k) - 5*x(k)?
3*k**2 + k + 2
Let b(i) = 2*i. Let t(h) = -2*h + 3. Determine b(k) - 4*t(k).
10*k - 12
Let m(u) = -6*u + 5. Let l(a) = -3*a**2 - 8*a + 9. Let o be l(1). Let g(n) = n + 1 - 1 - 1. Calculate o*m(w) - 11*g(w).
w + 1
Let c(t) = 9*t**3 + 4*t**2 + 38*t - 4. Let f(w) = | {
"pile_set_name": "DM Mathematics"
} |
1/19
-267 divided by 14
-267/14
2130 divided by 6
355
Divide -450 by 75.
-6
What is 37734 divided by -2?
-18867
1272 divided by 6
212
Calculate -355 divided by -6.
355/6
Calculate 12375 divided by -99.
-125
Divide 10 by 5.
2
What is 3825 divided by 3?
1275
What is 4185 divided by 155?
27
What is 66880 divided by 5?
13376
What is -275 divided by -11?
25
What is -3048 divided by -2?
1524
What is 7340 divided by 4?
1835
Divide 721 by -7.
-103
Divide 720 by 5.
144
-7 divided by -510
7/510
Divide -39 by -11.
39/11
8690 divided by 2
4345
84 divided by 2
42
What is 390 divided by 65?
6
-8140 divided by -1628
5
What is 92 divided by 2?
46
Calculate 1888 divided by 944.
2
Calculate 550 divided by -50.
-11
Divide 291 by 6.
97/2
Divide -4 by 2357.
-4/2357
Divide 286 by 30.
143/15
Calculate 4 divided by 258.
2/129
Divide -594 by -1.
594
Divide 9936 by -1104.
-9
Calculate -2730 divided by 78.
-35
-93 divided by -22
93/22
Divide -11966 by 2.
-5983
Calculate 60 divided by 10.
6
-2 divided by -18
1/9
9253 divided by 487
19
What is -1504 divided by 47?
-32
What is -1 divided by -13?
1/13
What is 64 divided by -46?
-32/23
-5952 divided by 93
-64
What is -378 divided by -63?
6
Calculate -15288 divided by 3822.
-4
Calculate -20 divided by -633.
20/633
-1221 divided by -111
11
What is -2 divided by 18?
-1/9
What is 49 divided by -85?
-49/85
Calculate 678 divided by -1.
-678
Calculate -6518 divided by -5.
6518/5
Calculate 812 divided by -2.
-406
Calculate 303 divided by 8.
303/8
What is -2574 divided by -39?
66
-1 divided by -71
1/71
Divide 35 by -646.
-35/646
-792 divided by 264
-3
Divide 20140 by -5.
-4028
488 divided by -4
-122
837 divided by 3
279
Calculate -11 divided by -731.
11/731
Calculate -24 divided by 8.
-3
What is -12 divided by -72?
1/6
What is -55 divided by -5?
11
6566 divided by 938
7
Calculate -13 divided by -4.
13/4
-2 divided by -47
2/47
Calculate 1422 divided by -3.
-474
-137 divided by 6
-137/6
What is 1671 divided by -3?
-557
223 divided by 1
223
What is -1233 divided by -3?
411
Divide -103 by -103.
1
What is 2 divided by -284?
-1/142
Divide 6 by -145.
-6/145
Calculate 3888 divided by 1296.
3
Divide -858 by -1.
858
Calculate -273 divided by 11.
-273/11
What is -2600 divided by 200?
-13
Divide 2329 by -1.
-2329
-9207 divided by -33
279
What is 991 divided by -991?
-1
Calculate 930 divided by 30.
31
Calculate 45 divided by -4.
-45/4
Calculate 116 divided by 4.
29
Divide 2 by -2791.
-2/2791
598 divided by -26
-23
Calculate 5 divided by -2710.
-1/542
Divide 13 by -6.
-13/6
What is 3 divided by -26?
-3/26
What is 504 divided by -42?
-12
What is 2 divided by -67?
-2/67
Divide -51 by 5.
-51/5
-2410 divided by 241
-10
Calculate 3102 divided by -11.
-282
4 divided by 3970
2/1985
Divide 4196 by 1049.
4
Calculate -1 divided by 6.
-1/6
Divide -1953 by -3.
651
Calculate -4266 divided by 18.
-237
Calculate 1978 divided by 17.
1978/17
Divide -93 by 3.
-31
-7672 divided by -1
7672
Divide 4 by 582.
2/291
What is 249 divided by -5?
-249/5
Calculate 2 divided by -479.
-2/479
What is 6696 divided by -6?
-1116
What is 0 divided by -11?
0
What is 5248 divided by 6?
2624/3
Calculate -336 divided by -2.
168
Divide -75 by -1.
75
-22547 divided by 1
-22547
What is 3364 divided by -4?
-841
What is -17552 divided by -1?
17552
What is -12616 divided by -4?
3154
Calculate -32 divided by -24.
4/3
What is 5 divided by 337?
5/337
-1552 divided by 8
-194
What is -90 divided by -32?
45/16
Divide 48 by -3.
-16
What is -351 divided by -5?
351/5
4018 divided by -5
-4018/5
Calculate -805 divided by -3.
805/3
-10 divided by -10
1
What is -1626 divided by 271?
-6
What is -124 divided by 6?
-62/3
-10580 divided by 5
-2116
4452 divided by 212
21
-25 divided by 74
-25/74
-37916 divided by 2
-18958
What is 51260 divided by 5?
10252
Calculate 8064 divided by 12.
672
Calculate -7001 divided by -3.
7001/3
What is 24 divided by 1?
24
-1980 divided by -165
12
239 divided by 36
239/36
-368 divided by 16
-23
What is 55 divided by 55?
1
What is -10581 divided by -4?
10581/4
Divide -19038 by 2.
-9519
2 divided by 286
1/143
4 divided by 52
1/13
Divide -25590 by -3.
8530
Divide -3744 by -312.
12
Divide -993 by 6.
-331/2
22318 divided by -3
-22318/3
Calculate -2 divided by 1771.
-2/1771
352 divided by -44
-8
-915 divided by 11
-915/11
-1 divided by 2903
-1/2903
Calculate 55250 divided by 5.
11050
Calculate 41 divided by -194.
-41/194
Divide -4 by -2438.
2/1219
Calculate 128 divided by 32.
4
-882 divided by 14
-63
What is 715 divided by 10?
143/2
Calculate -70 divided by 6.
-35/3
-1 divided by 129
-1/129
Divide 8549 by 83.
103
1117 divided by 1
1117
6176 divided by -4
-1544
What is -5 divided by 7523?
-5/7523
Calculate -93 divided by 31.
-3
What is 196 divided by -28?
-7
What is 159 divided by -49?
-159/49
What is -5736 divided by 717?
-8
Divide 105 by 5.
21
92 divided by 13
92/13
Divide -1476 by -2.
738
What is -1242 divided by 414?
-3
Calculate 55 divided by 20.
11/4
Divide -316 by 39.
-316/39
Divide 0 by 20.
0
1535 divided by 5
307
What is -270 divided by 5?
-54
73230 divided by -5
-14646
Divide 0 by -279.
0
What is -1596 divided by -228?
7
What is 129 divided by 33?
43/11
5074 divided by 2
2537
Calculate 184 divided by -4.
-46
13227 divided by 2
13227/2
Divide -2500 by 500.
-5
1238 divided by -2
-619
Divide -2 by 1602.
-1/801
-957 divided by 12
-319/4
-13 divided by 11
-13/11
374 divided by -11
-34
Calculate 99 divided by -2.
-99/2
What is 366 divided by -3?
-122
What is 125 divided by -5?
-25
What is -7 divided by -1012?
7/1012
Divide 3 by 59.
3/59
What is 308 divided by -11?
-28
What is 40 divided by -2?
-20
What is -24 divided by -4?
6
319 divided by -319
-1
5835 divided by 5
1167
What is 3321 divided by -27?
-123
What is 3 divided by -6?
-1/2
What is 5229 divided by -1743?
-3
What is 7208 divided by -901?
-8
Divide 120 by 24.
5
Divide 0 by -34.
0
Divide 83 by 5.
83/5
Calculate -60 divided by -5.
12
Calculate 1148 divided by 3.
1148/3
What is -2849 divided by -407?
7
-3 divided by 775
-3/775
-71 divided by -56
71/56
105 divided by -46
-105/46
5 divided by -346
-5/346
Divide 11130 by -5.
-2226
Calculate -6468 divided by -3.
2156
What is 2 divided by -692?
-1/346
Divide 84 by -28.
-3
Divide -140 by -35.
4
What is 27 divided by -9?
-3
Calculate 176 divided by -1.
-176
-1176 divided by -3
392
-225 divided by 5
-45
4 divided by -538
-2/269
Divide -7 by 143.
-7/143
-104 divided by 52
-2
What is -14319 divided by -9?
1591
Divide -3025 by -5.
605
What is 5 divided by -31?
-5/31
What is 7 divided by -183?
-7/183
Divide 0 by 32.
0
What is -450 divided by 225?
-2
Divide 15016 by -3754.
-4
-2 divided by -31
2/31
What is -180 divided by -30?
6
Divide 2 by -3488.
-1/1744
Divide 984 by 328.
3
Calculate 61 divided by 61.
1
Calculate -1 divided by 125.
-1/125
Calculate -264 divided by -4.
66
Calculate -858 divided by 26.
-33
Divide -102 by 34.
-3
What is 936 divided by -156?
-6
Calculate -23065 divided by 5.
-4613
Calculate -4 divided by 111.
-4/111
Divide 2 by 374.
1/187
Divide 0 by -18.
0
Divide -65 by -13.
5
-16 divided by -72
2/9
Divide -10854 by 3.
-3618
What is 94 divided by -94?
-1
Divide -2 by -50.
1/25
Calculate -3 divided by 375.
-1/125
Calculate -9047 divided by -5.
9047/5
1848 divided by -616
-3
-2 divided by -2
1
What is -26 divided by 3?
-26/3
Divide 66 by 22.
3
What is 36 divided by -65?
-36/65
Divide 4 by 2.
2
31540 divided by 4
7885
-18 divided by -465
6/155
Calculate -2871 divided by 3.
-957
What is 884 divided by -221?
-4
696 divided by 2
348
Divide 0 by 812.
0
Calculate 33663 divided by -2.
-33663/2
Divide 1 by -319.
-1/319
Calculate -140 divided by 10.
-14
-58 divided by 121
-58/121
What is 0 divided by -71?
0
Calculate -847 divided by -121.
7
What is -425 divided by 3?
-425/3
-1366 divided by 2
-683
2499 divided by -1
-2499
What is 3798 divided by -3?
-1266
-304 divided by 6
-152/3
Calculate -4 divided by -67.
4/67
Divide -129 by 24.
-43/8
Divide -1750 by -175.
10
Calculate 154 divided by -7.
-22
Divide -826 by 2.
-413
What is 55998 divided by 6?
9333
What is 678 divided by 2?
339
Divide -1832 by -458.
4
Divide 1598 by -34.
-47
Calculate 3933 divided by 3.
1311
41024 divided by -4
-10256
What is -520 divided by -130?
4
Calculate 16062 divided by -6.
-2677
75 divided by -25
-3
Calcul | {
"pile_set_name": "DM Mathematics"
} |
*d**8 assuming d is positive.
d**(39/4)
Simplify (u/(u*(u/u**(-2/7))/u))/u*u**(2/9)*u**(2/3)/((u**6*u)/u) assuming u is positive.
u**(-403/63)
Simplify f**1*f**(-3)*f**6/(f*f**(-3/4)) assuming f is positive.
f**(15/4)
Simplify (f/f**13)/(f**(4/3)/f) assuming f is positive.
f**(-37/3)
Simplify (y**(-2)/y)**5*(y/(y*(y/(y*y**(2/7)*y*y))/y))**(-4) assuming y is positive.
y**(-197/7)
Simplify ((t/t**(-2/3))/(t*t/t**7))/((t**0*t)/(t**8*t)) assuming t is positive.
t**(44/3)
Simplify (u**(2/3))**(-10/11)*u/u**(-1)*u**(2/19)*u assuming u is positive.
u**(1567/627)
Simplify i**(1/3)*i*i*i/(i/((i/(i/i**1)*i)/i))*((((i/i**(-2/5)*i)/i)/i)/i)**7 assuming i is positive.
i**(-13/15)
Simplify (n*n**(-15/2))/n**(-21) assuming n is positive.
n**(29/2)
Simplify a**(-7)*a**0*a assuming a is positive.
a**(-6)
Simplify (((x**(-1/4)/x)/x)/x)/x*x**1 assuming x is positive.
x**(-13/4)
Simplify b*b*b**(-1/38)*b*b/((b*b/b**(-1/20))/b) assuming b is positive.
b**(1111/380)
Simplify m**(16/7)*m**(12/11) assuming m is positive.
m**(260/77)
Simplify ((c*c*c*c/c**(1/2)*c)**(-31))**(-47/4) assuming c is positive.
c**(13113/8)
Simplify p**(-2/35)/p**(13/5) assuming p is positive.
p**(-93/35)
Simplify (t**(-20))**(3/10) assuming t is positive.
t**(-6)
Simplify s/s**47*s**(-48) assuming s is positive.
s**(-94)
Simplify ((a*a**(5/6))/((a*a/((a*a*a**0/a)/a)*a*a)/a))**(-2/41) assuming a is positive.
a**(7/123)
Simplify l**7*l*(((l/(l**(2/9)/l*l))/l)/l)/l*l*l**(-1/7)*l*(l/(l*(l/l**8*l)/l))/l assuming l is positive.
l**(859/63)
Simplify (v/(v/v**(-1))*v/(v*v**(10/11)))**(1/2) assuming v is positive.
v**(-21/22)
Simplify o**(-12)/(o/(o**(2/21)/o)*o) assuming o is positive.
o**(-313/21)
Simplify (c**(-12/13)/c)**(-3/7) assuming c is positive.
c**(75/91)
Simplify ((o**0*o)/o**(-3))/(o**(-3)/o*(o/o**(5/3))/o*o) assuming o is positive.
o**(26/3)
Simplify b**(5/18)*b**(2/3) assuming b is positive.
b**(17/18)
Simplify f**(3/5)/((f**(-22)*f)/f) assuming f is positive.
f**(113/5)
Simplify ((b**1)**27)**34 assuming b is positive.
b**918
Simplify (u**(-1)/u)**39*u**6/u**(-2) assuming u is positive.
u**(-70)
Simplify (p**(-23)/p)**(-9) assuming p is positive.
p**216
Simplify (t/((t*t**(-29)/t)/t))/t*t*t**(11/6) assuming t is positive.
t**(197/6)
Simplify (v**(-4/5)/((v/(v/v**(-4)))/v*v*v))**(-25) assuming v is positive.
v**(-55)
Simplify b/(b/b**(-23))*b**(-19) assuming b is positive.
b**(-42)
Simplify t*t**(-11/6)/t*t**(-38) assuming t is positive.
t**(-239/6)
Simplify (f**(-2/5))**(-35) assuming f is positive.
f**14
Simplify c/c**(-2/5)*c**5 assuming c is positive.
c**(32/5)
Simplify ((w*w**(-3/11)*w)/w)/w*w**(2/11) assuming w is positive.
w**(-1/11)
Simplify k**(-2/87)/(k*k*(k/k**(3/28)*k)/k) assuming k is positive.
k**(-7103/2436)
Simplify (((f/(f*(f/(f**(-2/13)/f))/f*f))/f)/f*f)**35 assuming f is positive.
f**(-1435/13)
Simplify ((a**(-4)*a)/a**4)/((a*a**9*a)/((a**(-3/4)/a)/a)) assuming a is positive.
a**(-83/4)
Simplify g**13*g**(-1/3)*g assuming g is positive.
g**(41/3)
Simplify (g**(-1))**(-46)*g**1/g**9 assuming g is positive.
g**38
Simplify x**(-8)*x**(-5/4)*x**(-5/2)/(x*x**(-4)*x) assuming x is positive.
x**(-39/4)
Simplify (f**(2/3))**(-14)*(f/(f/(f*f**(-1/3))))**(-28) assuming f is positive.
f**(-28)
Simplify (l/l**(2/3))**(-35)/(l**6*l/((l**(2/3)/l)/l*l)) assuming l is positive.
l**(-19)
Simplify f/(f/(f/(f*f**(1/8))))*f/((f/f**(1/3))/f)*(f/f**1)/((((f**(-1)/f)/f)/f)/f) assuming f is positive.
f**(149/24)
Simplify (n/((n**7/n)/n))/n**(-1/14)*(n/(n*n*n**(-2/5)*n))**(4/21) assuming n is positive.
n**(-127/30)
Simplify o**5/(o*o**(-10))*o*o*o**(-6)/o*o*(o*(o/(o/((o/o**(-4))/o)))/o)/o*o assuming o is positive.
o**14
Simplify (p/(p/(p/p**(-1/4))*p)*p)**(1/2)*p**3*p**(-4) assuming p is positive.
p**(-3/8)
Simplify (z*z**(2/9))**(-27)/(z**(4/7)*z**(-1/8)) assuming z is positive.
z**(-1873/56)
Simplify f*f*f**(2/7)/f*f**(-42) assuming f is positive.
f**(-285/7)
Simplify (j**1)**(-40)/(j**(-2/7)/(j/j**(2/7))) assuming j is positive.
j**(-39)
Simplify g*g/(g*g**(1/13))*g/g**(3/19) assuming g is positive.
g**(436/247)
Simplify l**8*l*l*l/(l**(5/4)/l)*(l/(l*l**8)*l)/l**0 assuming l is positive.
l**(15/4)
Simplify ((b**(-7)/b)/b)/b**(11/5) assuming b is positive.
b**(-56/5)
Simplify y**(-14/5)/(y/(y*y**(2/3))) assuming y is positive.
y**(-32/15)
Simplify u/u**(2/35)*u*u**12 assuming u is positive.
u**(488/35)
Simplify ((h*h/h**(-1/3))**1)**(-50) assuming h is positive.
h**(-350/3)
Simplify ((d*d*d**(-7)/d)/(d**(4/3)/d))**26 assuming d is positive.
d**(-494/3)
Simplify (v**(4/5)/v**(2/9))**(-8) assuming v is positive.
v**(-208/45)
Simplify u**(-2)*(u/(u**6/u))/u*(u*u*u**(2/7))**(14/11) assuming u is positive.
u**(-45/11)
Simplify m/m**(-3)*m*(m/(m*m**(-3)/m*m*m))/m*m*m*m*m**(-1/2)*m*(m/(m*m**(4/5)))/m assuming m is positive.
m**(77/10)
Simplify (((a*a*a**2)/a)**0)**(-4/21) assuming a is positive.
1
Simplify (j/(j*j*j/((j**(1/2)*j)/j))*j)**(-7/4)/((j*j**(3/2)*j*j*j)/(j/((j*j*j**1)/j*j))) assuming j is positive.
j**(-53/8)
Simplify ((b**(-1/34)/b)/b)/(b**(-6/19)/b) assuming b is positive.
b**(-461/646)
Simplify (n**(-3/5)*n*n**(-2)*n)/(((n*n**(-2/7))/n*n)/(n/(n**(1/4)/n))) assuming n is positive.
n**(61/140)
Simplify m/((m**(-1/2)*m)/m)*(m/((m**(-2/21)/m)/m))/m assuming m is positive.
m**(151/42)
Simplify (g**(-2/3))**(-24/7)*g**(-2/3)/g*g**1 assuming g is positive.
g**(34/21)
Simplify (i/(i*i**(-2/5)*i*i)*i)/i**(2/7)*(i*i/(i**(-1/4)/i))**(-7/4) assuming i is positive.
i**(-3681/560)
Simplify b/((b/(b**(2/5)*b))/b)*b*b/((b**(4/9)/b)/b)*(b**(1/3))**(-8/11) assuming b is positive.
b**(2828/495)
Simplify (z/z**6)**(-1/41) assuming z is positive.
z**(5/41)
Simplify (v**(5/4))**(1/5) assuming v is positive.
v**(1/4)
Simplify ((q**(2/5))**(-49))**15 assuming q is positive.
q**(-294)
Simplify (c/c**(6/7)*c/((c**(-4)/c)/c)*c)**(-1/9) assuming c is positive.
c**(-19/21)
Simplify (t*t**(1/5))**(7/3)/(t**10*t**(-7/5)) assuming t is positive.
t**(-29/5)
Simplify b**(-4/3)*b**(-1)*b**(-8)*b**0 assuming b is positive.
b**(-31/3)
Simplify (k*k*k**(-14)*k**(4/3)*k)**(15/2) assuming k is positive.
k**(-145/2)
Simplify ((q/(q/q**(3/2)))/((q*q*q**12)/q))**(-36) assuming q is positive.
q**414
Simplify (r**(-2/7)*r**(2/5))/(r**1)**(-1/78) assuming r is positive.
r**(347/2730)
Simplify (n/n**1)**(-27)/(n**3*n/(n**(-4/7)*n)) assuming n is positive.
n**(-25/7)
Simplify (m*m/(m*m/(((m/m**(-7))/m)/m))*m*m/(m/m**(2/33)))**(-40) assuming m is positive.
m**(-9320/33)
Simplify (z*z**3)/z**(-12/7) assuming z is positive.
z**(40/7)
Simplify ((j/((((j/(j*j**(-1/4)))/j)/j*j)/j))/j)**(-1/10)/(j*j*j**(2/3))**22 assuming j is positive.
j**(-7061/120)
Simplify (g*g/(g**(2/51)*g))**16 assuming g is positive.
g**(784/51)
Simplify x**(13/5)*(x*x**(1/12)*x*x)/x assuming x is positive.
x**(281/60)
Simplify s*s**(-5/4)/s*s*s/s**5*s assuming s is positive.
s**(-13/4)
Simplify y**(-30/7)/(y/y**(-28)*y) assuming y is positive.
y**(-240/7)
Simplify z**(-16)*((z**(-2/61)/z)/z*z*z)/z assuming z is positive.
z**(-1039/61)
Simplify (l/((l**(-2)/l)/l))/l**(1/4)*l**(-6)*l**(-2)/l assuming l is positive.
l**(-17/4)
Simplify (h*h**(-1/4)*h**(2/9))/(h*h**(-2/3)*(h/((h**5/h)/h))/h) assuming h is positive.
h**(131/36)
Simplify (((u*u**(-8))/u*u)/u)/u**0 assuming u is positive.
u**(-8)
Simplify t**4/(t/(t**(-13)*t)) assuming t is positive.
t**(-9)
Simplify (q**2)**(1/15)*(q*q/(q*q**3)*q)/q**2 assuming q is positive.
q**(-43/15)
Simplify ((o**(2/9)/o*o)/(o/(o*o*o**(-5/2))))/(o*o**(-2/3)*o*o/o**(-2/7)) assuming o is positive.
o**(-491/126)
Simplify (i**4/(i/(i*i**4*i)))/(i/(i*i**5)*i/i**(-2/9)*i*i*i) assuming i is positive.
i**(88/9)
Simplify (i/(i/(i/i**(5/2))))**(-3) assuming i is positive.
i**(9/2)
Simplify (d**(-3)/(d/(d**(-6)/d)))/(d**(2/5))**(3/8) assuming d is positive.
d**(-223/20)
Simplify (z**6*z*z*z**(-1/7))/((((z*z*z/(z/(z/((z*z**6)/z*z))*z)*z)/z*z)/z)/z*z**5/z) assuming z is positive.
z**(69/7)
Simplify ((h/((h**(4/3)/h)/h))/(h**(-6)/h))/((h/(h**0/h))/(h**(-8)*h)) assuming h is positive.
h**(-1/3)
Simplify y*y**6*y*y*y*y**(2/15) assuming y is positive.
y**(152/15)
Simplify (((f**(2/65)*f)/f)/f)**(-8) assuming f is positive.
f**(504/65)
Simplify (n**(-5)/(n/n**7*n))/((n*(n*(n*n/(n*n**(4/7)/n))/n)/n*n)/n*n*n*n**(-5/3)) assuming n is positive.
| {
"pile_set_name": "DM Mathematics"
} |
2
What is (7 - (-3 - (-17 - -8 - -5))) + -7?
-1
(4 - -4) + (-4 - 2) - 0
2
What is (7 - (34 + -2) - (-11 + -2)) + (-2 - 29)?
-43
Evaluate -1499 - -1550 - (55 - 0).
-4
What is the value of (-59 - -66) + 9 + -6 - (1 - -61)?
-52
Calculate 13 + (2 + 71 - (56 - 63 - (8 - 23))).
78
What is the value of 6 + -22 + (-18 - -41 - -21)?
28
Evaluate 2 + -2 + 42 + 32 + (-102 - -64).
36
What is the value of 5 + ((-13 - -5) + -5 - (4 - -1))?
-13
What is the value of -6 - (-6 + (0 - (-6 + 11))) - -28?
33
Evaluate -25 - (-7 + 23 - 104).
63
What is the value of (-1592 - -1520) + -5 + -39 + 2?
-114
-80 + 146 + -55 + (-1 - -3)
13
Evaluate -20 + (-1325 - -1452 - (-19 + -2)).
128
What is -201 + -48 + (160 - 24)?
-113
What is the value of (-9 - -5 - 64) + 498 + -484?
-54
Evaluate 116 - (20 - -51) - 33.
12
What is the value of (-33 - -6) + -3 + (10 - 12) + 7?
-25
Evaluate -60 + 44 + 29 + (68 - -9) + 4 + 1.
95
What is the value of (41 - 0) + (-374 - -383 - (-1 - -5)) + -5?
41
What is -14 - (30 + (60 - -21 - -16))?
-141
-20 + (46 + -9 - (1 - 0))
16
44 + 1 + 25 + -34 + 20 + (-13 - 6)
37
Calculate 28 + (-39 - -18) + 34.
41
Evaluate 147 - ((102 - 189) + 216).
18
What is 2 - 34 - (-73 - -35)?
6
-4 + (-13 - -10) - (18 - 17 - -18)
-26
Calculate (-20 - -22 - -32) + -49.
-15
Calculate (0 + -3 + -9 - (34 + -53)) + 21.
28
What is the value of -10 + -17 + -1 + (28 + -12 - 13)?
-25
What is the value of 64 - (-7 + (6 + 20 - (-12 + (32 - 6))))?
59
Calculate -7 - (-12 + 7 - -17 - 44).
25
Evaluate -29 - 0 - (-38 + 8).
1
Calculate -25 + (-40 + 11 - -4) - 6.
-56
Calculate 0 + (-5 - -3) + -3 + (-74 - -80).
1
Calculate -26 + -40 + (-19 - 4) + 37.
-52
1 + 0 + -32 + 41 + -13 - (2 + 15)
-20
What is 63 + (-52 + -56 - -52)?
7
Evaluate 19 + (-9 + -14 - 22) - (7 + 0).
-33
Calculate 36 - 4 - (30 - 36).
38
Calculate (-18 - 0) + -33 - -29.
-22
What is the value of -175 + (-56 - -163) - (-9 + 1)?
-60
Evaluate -71 + (-119 - (-12 + -194)).
16
What is the value of (-1244 - -1083 - (0 - 24)) + (8 - (-1 - -3))?
-131
-176 + 85 + -112 + 68
-135
What is the value of 8 + -20 - (-3 - -8 - (90 - -16))?
89
17 + (1 - -7) + (-73 - -162) + -218
-104
Calculate (7 - (8 - -5)) + (-2 - -69 - (-101 - -94)).
68
Evaluate 2 + (-10 - -25 - 11) + 11.
17
What is the value of (-66 - (0 - -2)) + (-87 - -18 - -66) + 14?
-57
Calculate -58 + 9 + 6 + 7 + (-1 - 1) - 7.
-45
What is 44 + (28 - 43) + 54?
83
Evaluate -20 - (15 + -2 - (105 - 31)).
41
What is the value of -61 + 35 + -1 + 25?
-2
Calculate 63 + 0 - (1 - 25 - (47 + -64)).
70
What is the value of 47 + -79 + 33 + -62?
-61
1 + -28 - (-108 - -290 - 149)
-60
What is the value of 4 + -28 + (-1 - -6 - -6) - -62?
49
(60 - 43) + 20 + -23
14
What is 66 - (22 - (-46 + (55 - -1)))?
54
What is the value of 0 - -15 - ((-18 - -96) + -100)?
37
Calculate -69 + -7 + (57 - 43).
-62
Evaluate -3 - (-9 - (-52 - (-7 + 8 + 3))).
-50
Evaluate 6 + -2 + -7 - 13 - -100 - 15.
69
What is 920 + -946 - (2 - 26)?
-2
What is the value of (-186 + 337 - 186) + (-1 - -4 - 1)?
-33
What is the value of 13 - -10 - (-38 + 23 + 99)?
-61
Calculate 24 + (-20 - 64) - -57.
-3
-12 - (33 - (19 + -12 + 5))
-33
Evaluate 32 - -17 - 52 - -8.
5
Calculate -6 + -12 + 82 + -13 + 18 - -15.
84
What is (-45 - 3) + (47 - -10 - 44)?
-35
Evaluate (4 - -7 - -5 - 3) + (8 - -17 - 14).
24
-27 + 23 + (70 - 79)
-13
What is the value of -205 + (108 - -95) - (-79 - 1)?
78
Calculate 59 - (-16 + -14 + 75 + -30).
44
Calculate -8 + -63 - (-1870 - -1766).
33
Evaluate (11 - 20) + 97 + -40.
48
What is -13 + 3 + (-91 + 86 - (-50 + 3))?
32
What is the value of -52 + (-33 + -2 - -62) - 85?
-110
What is 36 + (22 - 4) + -82?
-28
Evaluate (-101 - -60) + -8 + 4 + -7.
-52
What is 32 + (97 - 111) + 0 + 17?
35
What is (18 - (-1 + 11)) + (9 - 4) + 2 + -30?
-15
Calculate -53 + 18 + 15 - (0 - 50).
30
-5 - (-108 + 116 + (5 + -7 - 6))
-5
(-31 - 20) + (20 - (-1 + 8)) - 10
-48
What is the value of (-1 - -20) + (52 - 5 - -4 - 116)?
-46
Evaluate (1 - 5) + 5 - -7 - (-88 - -52).
44
What is -68 - (-30 + 0 + 14 + 16) - -13?
-55
What is the value of 25 - 30 - (-149 + 66)?
78
-8 - (-28 + 5 - (4 - 15))
4
What is (2 - 67) + (-3908 - -3911)?
-62
What is the value of -33 - -6 - (-50 - -57)?
-34
What is the value of (-4 - 1 - (8 - 5)) + 51 + 77 + -99?
21
Calculate 61 + (-5 - (-7 + 13) - 6) + 29.
73
What is (-14 + 1 - (-139 - -133) - 1) + 34?
26
Calculate -78 - -109 - 61 - (-103 + -1).
74
5 + 2 + (36 + (14 - (48 - 17)) - 18)
8
What is 90 + (-176 - -55) + (-93 - -1)?
-123
What is the value of 1 + ((-4 - -9) + -1 - 53) - (620 - 632)?
-36
Calculate -128 - -63 - (-81 - -33).
-17
What is -1 - (-10 + (29 - 6) + -12 + 26)?
-28
Calculate (-50 - -29 - -115) + -71.
23
-4 + -27 + 13 + (94 - 47)
29
What is 211 - 177 - 82 - (24 - -1)?
-73
What is the value of (-40 - 35) + 97 - -58?
80
What is the value of 27 + 37 + -58 - -101?
107
(121 - (98 - 42)) + -16
49
(2 + -3 - -42) + (-8791 - -8786)
36
(2 - 5) + (10 + (1 - 4) + 6 - 51)
-41
What is the value of 17 - (-11 + (13 - -37)) - 10?
-32
Calculate -19 - (29 - -22 - -12).
-82
What is -32 + 174 + -156 + 16 + 2?
4
Evaluate -3 + (-6 - (-2 + -1)) + (-43 - (-20 - 17)).
-12
-4 + (37 - 9) - 11 - (8 + -1 + 55)
-49
What is -30 + (-14 - (-5 + -20) - -2)?
-17
Evaluate 45 - 21 - ((7 + -8 - -6) + -1).
20
Evaluate ((-20 - -6) + 40 - -29) + (1 - 1) + 3.
58
What is (77 - 38) + (5 - 19)?
25
Evaluate -6 - -16 - 6 - (93 + -100 + (-1 - 11)).
23
Evaluate 6 + (60 - (7 + -20 + 14)) + (-5 - -4).
64
What is -51 + (-29 - -160) + -55?
25
Calculate (-123 - -35 - -43) + 80.
35
Evaluate 60 + 6 + -48 - (-5 - 1).
24
14 + -25 + -67 + -3 + (6 - 5) - 13
-93
(70 - 16) + (-4 + 2 + 14 - 25)
41
What is the value of -111 + -3 - (-4 + -13 + 4 - (-69 - -64))?
-106
What is the value of -6 + 8 + -1 + -4 - (120 + -277 + 174)?
-20
Calculate -59 + (60 - -36 - 41).
-4
Evaluate 14 + -23 + 14 - (52 + -1).
-46
Evaluate -4 - -27 - (-7 - ((17 - 32) + 15)).
30
Evaluate -17 - ((-691 - -685) + 35 + 1).
-47
-22104 + 22190 + (0 - 0 - (-4 + 1 - -15))
74
What is the value of (1 - (3 + -3)) + 4 + 50 + (-270 - -263)?
48
-14 + 13 - (25 - -34)
-60
-45 - (-23 + 1) - (15 + 13)
-51
Evaluate 55 + (-13 - (-37 + 18 - -18)).
43
Calculate (-7 - (-33 - (17 - 26))) + -93.
-76
Evaluate -108 + (-30 - -3) + (11 - -3 - -1) + 14.
-106
What is the value of 1 - (39 - (87 - 45)) - (102 - (1 + -1))?
-98
Calculate -6 + -2 + -67 - 13 - -37.
-51
Calculate (73 - 22) + -37 - (0 - 16).
30
Calculate -36 + (-216 - -117) - -209.
74
Calculate (-19 - -8) + (-8 - (-7 + (-3 - (-7 - 4)))).
-20
-9 + -29 + -32 + 50 - (16 + 0)
-36
What is the value of 12 + -56 + (12 - (-14 - (-23 - 15)))?
-56
39 - (24 - -1) - 36 - -103
81
Calculate (142 - (-5 + 146)) + 149.
150
What is the value of 11 + -2 - (24 - (1 + 13 + -10))?
-11
-8 - (16 - (-16 + 6 - -21)) - 1
-14
What is 3 + (113 - 118) + (-2 - -1) - 53?
-56
Evaluate -112 - -219 - 176 - -100.
31
Calculate 69 - (-2 + (21 - 9) + 8).
51
What is -31 - 21 - -47 - ((0 - -3) + (10 - 14))?
-4
What is the value of -6 + (39 - 4) + 35?
64
Evaluate (3048 - 3035) + -2 + -73.
-62
What is 20641 + -20742 + (17 - 1)?
-85
What is the value of -15 - (11 + 10 - (8 - -3))?
-25
13 - (0 + 52 + 56 + 47 + -113)
-29
-10 + 2 + (10 - 22) + -8 + 24 - -82
78
What is 75 + (-73 - (-98 - -99))?
1
3 + (6 - 1 - 38)
-30
What is the value of 32 + (24 - (-9 - -1 - (-42 - -22))) - 11?
33
What is -88 + (-11 - -12 - -19 - (-8 - -46))?
-106
What is (170 - 175) + (0 - 6) + (21 - 1)?
9
Calculate (34 - (18 - -17)) + -39.
-40
-25 - 0 - (156 - 171)
-10
What is 209 - (16 + -66 - -179)?
80
Calculate -1 + 18 - 1 - (767 + -766) - -13.
28
(-70 + 1 - (-75 - (17 + -93))) + 13
-57
-23 + -2 + 3 + (1 - 1) + 87 + -82
-17
59 + (-45 - (104 + -70))
-20
399 + -487 - (5 + -95)
2
Calculate (15 - (29 - -10 - 55)) + (-7 - -1).
25
Calculate 136 + (-94 - -117 - 43).
116
Evaluate -6 + (51 - (40 - -44)).
-39
What is -197 + 62 + (7 - -2) + 0 + -1 + 7?
-120
Evaluate 98 + 27 + (-278 - -23).
-130
What is (-58 - 11) + (177 + -153 - (-1 + 13))?
-57
(0 + (-2 - -1) - 7 - (26897 - 26900)) + -1
-6
What is 3 + -3 + (-3324 - -3230)?
-94
13 + 81 + -49 + 3 + -1
47
What is the value of 13 + (61 - (-72 + 123) - ((-90 - 0) + -1))?
114
Calculate (-1 - 8) + (83 - (22 + -40 + -8 + 25)).
75
Calculate 96 + -112 - (-35 + (11 - 6)).
14
Evaluate -48 + 19 + 20 + -28 + (2 - 3).
-38
Evaluate 87 - ( | {
"pile_set_name": "DM Mathematics"
} |
.045. What is a rounded to 6 dps?
-0.000004
Let i = 415 + -414.9803. Let w = -0.18 - -0.2. Let x = w - i. What is x rounded to three decimal places?
0
Let v = -83.097 - -83. Let m = 0.096906 + v. What is m rounded to five decimal places?
-0.00009
Let l be (-18)/(-15)*(-20)/(-6). Suppose 2*g = 3*i + 35, -18 = -l*g - 3*i + 7. Let t be 2/g - (-1)/(-5). Round t to four dps.
0
Let z(f) = -f + 2. Let l be z(2). Let p be 18/21*(7 + l). Let t be 210/(-4)*(-16)/p. Round t to the nearest 100.
100
Let j = -61 - -42. Let q = j - -19.00000013. Round q to 7 decimal places.
0.0000001
Suppose -5*a = 3*j - 33, 2*a - 5*j - 7 = -0*a. Suppose -3*d = -5*h - 6*d - a, -5*h - d - 2 = 0. What is h rounded to the nearest 100?
0
Let w = -496 - -241. Let p = -257.06 - w. Let m = p + 2.7. Round m to 1 decimal place.
0.6
Let a(u) = -2*u**3 + 11*u**2 - 11*u + 3. Let f be a(8). Let g be 9/3 + f + 2. Round g to the nearest one thousand.
0
Let k = -0.072 + 0.0846. Round k to 3 decimal places.
0.013
Let z = 10.49999844 + -10.5. What is z rounded to seven dps?
-0.0000016
Let o = 316 - 317.43. Let f = 2.44 + o. What is f rounded to one dp?
1
Let p = -269.00326 - -269. Round p to four decimal places.
-0.0033
Let n = 0 - -4. Let r = n + -4.00024. Round r to four decimal places.
-0.0002
Let y = -3 + 2.1. Let z = y - -1.6. What is z rounded to the nearest integer?
1
Let w = 18693676 - 12803439. Let j = w - 3163243. Let z be j/27 + (-2)/(-9). Round z to the nearest 10000.
100000
Let m = 3912169 + -3914595.3385. Let w = m - -2427.34850103. Let d = 1.01 - w. Round d to 7 decimal places.
-0.000001
Let m = 13 - 12.93. Let r = m + -0.086. Round r to three decimal places.
-0.016
Let f be 491*-1*(-3 + 1412). Let j = 6291819 + f. Round j to the nearest 1000000.
6000000
Let h = 125549 - 125548.810009. Let v = h - 0.19. What is v rounded to five dps?
-0.00001
Suppose -2*j + 11 = a, 5*j + 5*a - 41 = -1. Suppose w = j*i - 4*i + 570005, -4*w + 1710020 = 3*i. Round i to the nearest one hundred thousand.
600000
Let q = 0.218 + 0.032. What is q rounded to one dp?
0.3
Let g = -1584.6523 - -1583. Let h = g + 1.66. Round h to three dps.
0.008
Let n = -139 - -143.92. What is n rounded to the nearest integer?
5
Let b = -82.4 + 68. Let a = 1.4 + b. Let r = a - -12.99954. What is r rounded to four dps?
-0.0005
Suppose 16315 = a + 4*a. Suppose 0 = -0*v - v + 1863. Let d = a - v. Round d to the nearest 100.
1400
Let g = -0.114 + 0.024. What is g rounded to 2 decimal places?
-0.09
Let b = -18.68 + 19. Round b to 1 decimal place.
0.3
Let l = -0.058 - -0.0580092. Round l to six dps.
0.000009
Let s(a) = -13468*a**2 - 10*a + 2. Let j(l) = 8*l - 1. Let b be j(1). Let z be s(b). Round z to the nearest 100000.
-700000
Let u = -67 - -66.03. What is u rounded to 1 decimal place?
-1
Let f = -149 + 262. Let l = -113.79 + f. What is l rounded to 1 dp?
-0.8
Let o(u) = u - 1. Let y be o(-3). Let b = -5 - y. What is b rounded to the nearest integer?
-1
Let k = 0.49 + -0.81. Round k to one dp.
-0.3
Let q = 0.082 - -56.918. Let f = q + -57.00132. What is f rounded to four decimal places?
-0.0013
Let h(b) = -29*b**3 - 5*b**2 + 8*b - 4. Let x be h(6). What is x rounded to the nearest 1000?
-6000
Let p be (-17000)/(1 + (-327)/330). Round p to the nearest 100000.
-1900000
Let k = -490782946.20000146 - -490782964. Let y = -17.8 + k. Round y to seven dps.
-0.0000015
Let b = 0.0423 + 2.7277. Let u = -0.47 + b. Let r = -3 + u. What is r rounded to 1 dp?
-0.7
Suppose 6*p - 41 - 529 = 0. Round p to the nearest ten.
100
Suppose -27 = l - 0*g + 3*g, 85 = -5*l - 5*g. Let z be (-2)/l + 2279998/12. What is z rounded to the nearest one hundred thousand?
200000
Let o = -1183932512 + 1183932310.9999919. Let h = o - -201. What is h rounded to 6 dps?
-0.000008
Let w(v) = -7*v + 2. Let s be w(-9). Suppose 2*k + 35 = -s. What is k rounded to the nearest ten?
-50
Let d(k) = -265305*k**2 + 9*k + 8. Let g = -20 - -13. Let q be d(g). What is q rounded to the nearest one million?
-13000000
Let x = -3 + 56. Let p = -52.9999979 + x. Round p to six decimal places.
0.000002
Suppose 0 = r - 3*c + 615, -5*c - 4857 = 5*r - 1682. Round r to the nearest 100.
-600
Let j = 71 + -71.43. Round j to one decimal place.
-0.4
Let m = -171.7288 - -171.5288007. Let u = m - -0.2. What is u rounded to 6 decimal places?
0.000001
Let t(b) = 6 - 3 + 0 - 199*b. Let o be t(-5). Suppose -802 = 4*h + o. What is h rounded to the nearest 100?
-500
Suppose -2073 = -8*o + 919. What is o rounded to the nearest 10?
370
Let o = -2.093 - -1.98. Round o to 2 dps.
-0.11
Let u(b) = b**3 + 5*b**2 - 4*b + 1. Let l be u(4). Let z = -233 + l. What is z rounded to the nearest ten?
-100
Let m = -17.48 - -17.45004. Let s = -0.03 - m. Round s to five dps.
-0.00004
Let m = -0.46944 - 789.25056. Let j = 775.7207 + m. Let b = -14 - j. Round b to three decimal places.
-0.001
Suppose 0 = 4*t - 8*t + 468000. What is t rounded to the nearest 10000?
120000
Let g = -10 + 4. Let b = g - -6.000001. Round b to six decimal places.
0.000001
Let j be 100/15 + (-2)/(-6). Let d(b) = -47*b**3 + 3*b**2 - 4*b + 2. Let s be d(j). What is s rounded to the nearest 10000?
-20000
Let m = -4 + 6. Let p be (234375/m)/(6/(-256)). What is p rounded to the nearest one million?
-5000000
Let f be -5704 - (-4 - (1 - 1)). What is f rounded to the nearest 1000?
-6000
Suppose -3*h - 4*q + 7 = -2*h, 3*h + q = 10. Let i be (2 + -26)*(-3500)/h. Round i to the nearest 10000.
30000
Let f be (-9)/(-6)*(-16)/6. Let i = f - -6. Suppose -h + i*h + 470 = 0. What is h rounded to the nearest one hundred?
-500
Let m = 1145256 + -385256. What is m rounded to the nearest one hundred thousand?
800000
Let b be -1 + 2/((-8)/(-2740)). Suppose b - 4642 = -5*w + 2*p, -5*p - 20 = 0. What is w rounded to the nearest 100?
800
Let l = 107.99728 - 108. What is l rounded to 4 dps?
-0.0027
Suppose z = -1, -4 = 3*c + 2*z - 2. Let j = c + 3. Suppose j*r = r - 7400. Round r to the nearest 1000.
-4000
Let j = 1.7 + -1.672. Round j to two decimal places.
0.03
Let z = -1.8 + 3.7. Let y = z + -14.9. Let u = -13.52 - y. What is u rounded to one dp?
-0.5
Suppose 3*b + q = -10935317, -6*b = -3*b + 3*q + 10935321. Let s be 24180422/4 + 1/(-2). Let n = b + s. Round n to the nearest 1000000.
2000000
Suppose 6*n + 5*c + 140 = 2*n, -124 = 3*n - c. Let m be 6/5 + 8/n. Suppose -m = q - 5, 0 = v + 2*q - 30008. What is v rounded to the nearest 10000?
30000
Let i be 2/(-5) + (-65)/25. Let h be 0 + i/3 - -6. Suppose -2*d + 4*m = 928, 5*d - h*m = d - 1850. Round d to the nearest one hundred.
-500
Let j = -14.96 - -1.66. What is j rounded to the nearest integer?
-13
Suppose 5*m - 7 = t + 9, -3*t + 4*m - 4 = 0. Suppose -t*s - 275 = s. Round s to the nearest 10.
-60
Let b = -84 + 83.9999937. What is b rounded to 6 dps?
-0.000006
Let c = 4.28 + -0.28. Let s = 97620632.0000001 - 97620636. Let i = s + c. What is i rounded to 6 decimal places?
0
Let o = 8 + -6. Suppose o*v + 1 = 3, 4*x - 90000081 = -v. Suppose 0 = 5*a + 4*h + x, -5*a - 2*h = -0*a + 22500010. Round a to the nearest 1000000.
-5000000
Let z = 0.06 + 6.94. Let b = 7.043 - z. What is b rounded to 2 dps?
0.04
Let l = 10943140 + -10943191.9999953. Let z = 52 + l. Round z to six dps.
0.000005
Let j = -0.7 + 0.58. Let g = j + 0.119968. What is g rounded to five decimal places?
-0.00003
Let a = 41.9942 - 42. Round a to three decimal places.
-0.006
Let k = -190.11 + 192. Let v = k - 1.7. Round v to one decimal place.
0.2
Let v = -76.2 - -87. Let f = 0.25063792 + 10.54935598. Let q = v - f. Round q to six decimal places.
0.000006
Let i = -181.5 + 78. Let x = -80 - i. Round x to 0 dps.
24
Let d = 26.99912 - 27. What is d rounded to 4 dps?
-0.0009
Suppose 5*q - 3767103 = -767108. Let w be q/3 - (-6)/18. What is w rounded to the nearest one million?
0
Suppose -8 - 1 = -3*u. Suppose -3*b = 6, -u*j - 2*j - 1658 = 4*b. Round j to the nearest one hundred.
-300
Let h(p) = -p**2 + 7*p - 8. Let t be h(6). Let s be (t/6)/(4/(-60)). Suppose 50 + 68 = s*v - b, 3*b = v - 18. What is v rounded to the nearest 10?
20
Suppose -17242 = -9*i + 26228. Round i to the nearest 1000.
5000
Let b = 1396 - 992. Round b to the nearest 10.
400
Suppose 2*h = 4*h - 164000. Round h to the nearest ten thousand.
80000
Let d = -2069802430.19047 - -2069764506. Let h | {
"pile_set_name": "DM Mathematics"
} |
3*d - 5262, 5*d - 6578 = 2*p. Suppose -2*i = -f - d, 0 = -i - 3*f + 147 + 518. Is 82 a factor of i?
False
Let x = 654 - 666. Does 84 divide (88/x)/(-11)*252?
True
Is (3 + 30/(-6 + 0))*-2243 a multiple of 149?
False
Let w(g) be the second derivative of -389*g**3/3 - 5*g**2 + 36*g. Let u be w(-5). Is 2/5 + u/50 a multiple of 13?
True
Let y(s) = s + 11. Let f be y(-8). Suppose -d + f = 6. Does 12 divide (-9)/6*164/d?
False
Suppose -138*g + 137*g + 17457 = s, 34896 = 2*g - s. Is 277 a factor of g?
True
Suppose -3*g = -4*m, m - 13 = 5*g + 4. Is 0 + (-2 - g) - 3*-83 a multiple of 39?
False
Suppose 5*w + 4*i = 118020, -4*w + 127316 = -5*i + 32859. Is w a multiple of 13?
True
Suppose -n - 66825 = -28*n. Suppose 33*l - 33 = n. Does 19 divide l?
True
Let l = -462 - -618. Let h = l - -36. Is h a multiple of 16?
True
Let l(r) = 6*r**2 - 8*r + 6. Let i be l(3). Let a be (i/60)/((-2)/(-50*1)). Let u(q) = q**2 - 15*q + 7. Does 2 divide u(a)?
False
Let t = 1832 + 4361. Does 14 divide t?
False
Suppose -5*v + 1037 = -d, 2*v - 311 - 96 = 3*d. Is v a multiple of 8?
True
Suppose 0 = -4*x + 4*k + 1372, 374 - 1064 = -2*x + k. Suppose 9*j - j + 1360 = 0. Let c = x + j. Is c a multiple of 20?
False
Let o(l) = -l**3 + 24*l**2 - 42*l - 337. Is 54 a factor of o(17)?
True
Suppose -f - f + 14*f - 392712 = 0. Does 77 divide f?
False
Suppose 0 = -5*l + 5*m - 290, -5*m - 67 = l + 3. Suppose 65*s = 70*s + 30. Is 9 a factor of s/(2*5/l)?
True
Let j(q) = 2*q**2 - 56*q - 49. Suppose 45*w - 551 = 26*w. Is 7 a factor of j(w)?
False
Let l(u) be the first derivative of 79*u**4/12 - u**3/3 - 10*u**2 + 3. Let f(d) be the second derivative of l(d). Is 39 a factor of f(1)?
True
Suppose 10*j + 3*j + 1209 = 0. Let m = j + 97. Is 3 a factor of (0 - (-183)/12) + (-1)/m?
True
Let u be (-18 + 23)/(2/14). Let q = u + -33. Is (83/q)/((-20)/(-40)) a multiple of 31?
False
Let v(l) = 924*l - 396. Is v(6) a multiple of 44?
True
Let r = -806 - -380. Let q = -248 - r. Is q a multiple of 7?
False
Suppose -33 = 11*y - 8*y. Let n(v) = -2*v**2 - 24*v + 13. Let m be n(y). Suppose 0 = -40*k + m*k + 120. Does 3 divide k?
True
Suppose -5*f = 3144*l - 3142*l - 398485, 5 = l. Is 63 a factor of f?
True
Suppose 0 = 6*x - 1526 - 1126. Let b = -303 + x. Does 7 divide b?
False
Let x be (2/6)/(1/(-3))*-52. Let r = x + -94. Let k = r + 85. Does 7 divide k?
False
Let v = 237 + -676. Let j = v - -803. Does 26 divide j?
True
Suppose -m + 393 = -2*z - 691, 3*m - 3260 = 2*z. Does 34 divide m?
True
Let q(i) be the first derivative of 13*i**4/8 + 5*i**3/6 - 21*i**2/2 + 6. Let o(d) be the second derivative of q(d). Is o(6) a multiple of 19?
False
Let l = -272 + 542. Is 30 a factor of l/(-24)*16/(-3)?
True
Let n(w) = -51 + 9*w**2 + 22*w**2 + w**2 + 13*w - 10*w**2. Is n(3) a multiple of 21?
False
Let y = 1388 - 942. Suppose l + 11*x - 6*x = y, -5*l - 2*x = -2138. Does 17 divide l?
False
Suppose 0 = -4*f + r + 9865, 6576 = 4*f - 4*r - 3268. Is 9 a factor of f?
False
Let n(s) = -2*s**3 - 6*s**2 + 14*s + 33. Let c = -86 + 81. Does 19 divide n(c)?
False
Let l = -37 - -54. Suppose -25*d + 24 = -l*d. Is 54 a factor of d/45*2 - 24290/(-75)?
True
Let n(o) be the first derivative of -o**4/4 - 4*o**3/3 + 15*o**2/2 - 38*o - 182. Is 49 a factor of n(-8)?
True
Suppose -4*q = -u + 29 + 49, -4*q + 4*u - 84 = 0. Let i = q - -3. Let s = 24 - i. Is 10 a factor of s?
True
Suppose 2*n = p + 17949, -14*p = -4*n - 17*p + 35903. Does 25 divide n?
True
Suppose 45 - 270 = -3*k + 5*j, 2*k - 131 = -3*j. Let h(d) = 8*d + 1. Let p be h(-6). Let l = k + p. Does 23 divide l?
True
Let p(y) = y**2 + 15*y + 65. Let n be p(-12). Let l = 50 - n. Suppose 2*a + 228 = l*a. Is a a multiple of 10?
False
Let i = 12408 - 8000. Is i a multiple of 46?
False
Let p = 94 + -92. Suppose 523 = 5*o + 3*w - 71, -o - p*w = -123. Does 18 divide o?
False
Let s be 0 + -6 - -8 - -14. Is (-41)/(((-2)/s)/((-3)/(-6))) a multiple of 41?
True
Let a(j) = 12*j**2 - 17*j - 10. Let k be a(8). Suppose k = 5*g + 162. Does 4 divide g?
True
Let q be ((-304)/20)/(1/5). Suppose 3*s + s + 274 = 2*m, 2*s = -4*m + 598. Let c = q + m. Is c a multiple of 9?
False
Let x be (5/3 + 77/(-66))*-4. Is 3 a factor of (9/x - -5)*316 - -1?
True
Let o = 180 - 29. Suppose -3*v = -o - 185. Is v a multiple of 7?
True
Let o(r) = 7*r**3 + 4*r**2 + 40*r - 370. Is o(10) a multiple of 16?
False
Suppose -5*z + o = -1963, o + 0*o = -2*z + 781. Suppose 60*d - z = 52*d. Does 3 divide d?
False
Suppose 1571 + 7767 = 6*t - 21316. Does 13 divide t?
True
Let j(a) = -2*a**3 - 19*a**2 + 8*a - 9. Let i be j(-10). Suppose -g - 420 = -2*t, -1 - i = 3*g. Let o = t - 36. Is 14 a factor of o?
False
Let r be 353 - (40/15 + -3)*3. Suppose 0 = 5*g + 2*f - 1131, -r = -2*g - 5*f + 111. Is 25 a factor of g?
True
Let u(c) = -c**3 + 10*c**2 + 22*c + 9. Suppose 0 = -w + 4*y + 23, -2*w + 37 = -0*w - 5*y. Let h be u(w). Is 13 a factor of -1 + 15/13 - (-16880)/h?
True
Suppose 3*t - 2778 = v + 479, -t - 3*v + 1069 = 0. Does 3 divide t?
False
Suppose -v = 19*z - 22*z + 1, -2*v - 3*z = -16. Is 4 a factor of (-111176)/(-260) - (-1 - (-3)/v)?
True
Let n = -292 + 296. Suppose -4*x + 2*v + 3164 = 0, -n*v - 889 = -x - 105. Is x a multiple of 36?
True
Let k(a) = -9 - 2*a - a - 16 + 4*a. Let h be k(14). Let z = h - -71. Does 14 divide z?
False
Let g be (-1)/(-2)*0*1. Let n(p) = 17*p**2 - 113*p - 30. Let k be n(9). Suppose g*o - 5*o = 2*v - k, 5*v - 854 = 2*o. Is 34 a factor of v?
True
Let p(n) = 2*n + 15. Let f be p(-6). Let k(v) = -5*v. Let i be k(f). Does 27 divide (i/(-12))/(7/756)?
True
Suppose 2*w - 10*w = -72. Let a(t) = t**3 - 10*t**2 + 7*t + 18. Let r be a(w). Suppose u + r*z - 32 = 4*z, 5*z = 5*u - 115. Is 5 a factor of u?
True
Let m(a) = 7*a**2 + 37*a - 23. Does 37 divide m(-29)?
False
Let x be -1*(3 - (-3 + 13)). Let z(g) = g**3 - 6*g**2 - 7*g + 2. Let u be z(x). Suppose a - 37 = -3*w, u*a + 8 = 2*w - 14. Does 4 divide w?
True
Let t be 2*-5*(-9)/((-225)/(-1940)). Suppose -5*n = -3*a - 1264 + 331, 4*n + 5*a = t. Does 16 divide n?
False
Let r(z) be the third derivative of -23*z**4/24 + 47*z**3/3 - 7*z**2 - 2. Is 36 a factor of r(-10)?
True
Let j = 17 - 2. Suppose -5 = -2*x + 4*s - j, -2*x + 5*s - 13 = 0. Suppose -q - x = -41. Does 8 divide q?
True
Let k(r) = r**3 - 12*r**2 + 21*r + 11. Let i be k(10). Is 11 a factor of 37420/i + 20/1470*7?
True
Let v(w) = -6*w - 12. Let g be v(4). Let d = 71 - g. Is d a multiple of 14?
False
Suppose -3*j = 3*x - 17019, -2*x - 15*j = -10*j - 11361. Is x a multiple of 29?
False
Let n(j) = 41*j**3 + j**2 + 234*j - 26. Does 49 divide n(11)?
False
Let i(a) = 3*a**2 + 61*a - 147. Let l be i(-27). Let k = l + -383. Does 8 divide k?
False
Let y(l) = 230*l**2 - 5*l - 284. Does 44 divide y(-8)?
True
Suppose -3*i + 3*p = -0*p + 72, -5*p = 2*i + 27. Let t be (2 + i/9)*-6. Suppose 0 = t*y + y - 2*z - 114, 2*z + 76 = 2*y. Does 13 divide y?
False
Let m = 299 + -122. Let d = -133 + m. Is d a multiple of 22?
True
Let l = 36769 + -21402. Is 11 a factor of l?
True
Does 10 divide (-5 + -2)*(-174120)/140?
False
Does 195 divide ((-1864)/12)/((-242)/99825)?
False
Let j(q) = -4*q**2 - 5*q + 1. Let n be j(8). Does 25 divide (2 + -1 - n)*(-1 - -2)?
False
Suppose 0 = -3*b + 27 + 285. Suppose 4*i - 126 - b = -n, 5*n = -10. Is i a multiple of 2?
True
Suppose -4128 = -37*q + 29*q. Let j = 980 - q. Is j a multiple of 45?
False
Let r(f) = f**3 - 22*f**2 - 19*f - 9. Let t = 30 - 7. Let p be r(t). Let c = 143 - p. Is 10 a factor of c?
True
Is (-12 - (-84)/18)*-732 a multiple of 44?
True
Let r = -387 - -396. Suppose -2181 = -r*d + 7269. Does 21 divide d?
True
Let z(p) = -30*p + 8. Let q = -19 - -36. Let c = -20 + q. Is z(c) a multiple of 22?
False
Suppose 8*o - 4786 = 2*h - 51208, 3*o = -3*h + 69753. Is h a multiple of 87?
False
Let b(m) = 538*m**2 + 791*m - 6267. Is b(8) a multiple of 13?
False
Suppose 1857 = 4*h + 3*i - 17563, 0 = 5*h + 2*i - 24275. Is 117 a factor of h?
False
Let c = 6301 - 5160. Is 18 a factor of c?
False
Is 202/1919 + 6876/19 a multiple of 8?
False
Let x(j) = j + 23. Let h(l) = -l**3 + 4*l**2 + 12*l - 2. Let b be h(6). Let v be 7/(-21) + (b - 74/(-6)). Does 6 divide x(v)?
False
Suppose -14*k - 11*k + 1396626 = 41*k. Is 26 a factor of k?
False
Does 96 divide 108/((54/(-3645))/(8/(-10)))?
False
Let p = 5919 - -824. Is 67 a fac | {
"pile_set_name": "DM Mathematics"
} |
t replacement from {m: 2, i: 4, e: 3}. What is prob of sequence eme?
1/42
Calculate prob of sequence ss when two letters picked without replacement from {s: 2, w: 4, t: 2}.
1/28
What is prob of sequence ve when two letters picked without replacement from vvehyyvv?
1/14
What is prob of sequence bg when two letters picked without replacement from guiuciubguzuubuug?
3/136
What is prob of sequence zezl when four letters picked without replacement from {z: 6, e: 2, l: 10}?
5/612
Four letters picked without replacement from {m: 6, p: 2, h: 7, c: 2, s: 1}. What is prob of sequence cpcm?
1/3060
Three letters picked without replacement from kkfffkikikfkfkff. What is prob of sequence ffi?
1/40
Calculate prob of sequence gdd when three letters picked without replacement from gdbkdgxk.
1/84
Calculate prob of sequence te when two letters picked without replacement from {j: 2, e: 1, w: 1, t: 2, l: 1}.
1/21
Two letters picked without replacement from {d: 3, j: 9, i: 2, y: 2}. Give prob of sequence yy.
1/120
Four letters picked without replacement from {j: 4, m: 2, s: 2, w: 7, b: 2}. Give prob of sequence sbbj.
1/3570
What is prob of sequence jj when two letters picked without replacement from kjjkkkkj?
3/28
Calculate prob of sequence hhh when three letters picked without replacement from {h: 5}.
1
What is prob of sequence sg when two letters picked without replacement from {f: 3, y: 2, s: 1, g: 1}?
1/42
Calculate prob of sequence is when two letters picked without replacement from ipjpjgpgsggs.
1/66
Calculate prob of sequence xbx when three letters picked without replacement from {b: 1, x: 2, c: 1}.
1/12
What is prob of sequence ww when two letters picked without replacement from wcwcwwwwwwwccwwwwc?
26/51
What is prob of sequence ttou when four letters picked without replacement from {u: 2, o: 3, j: 1, v: 1, r: 1, t: 4}?
1/165
Calculate prob of sequence vvy when three letters picked without replacement from {f: 6, x: 2, v: 9, y: 1}.
1/68
What is prob of sequence saaw when four letters picked without replacement from {a: 3, w: 3, s: 6, y: 6}?
1/680
Three letters picked without replacement from {h: 1, z: 3, b: 3, d: 1, m: 11}. What is prob of sequence bdm?
11/1938
Calculate prob of sequence eze when three letters picked without replacement from {y: 5, e: 4, z: 5}.
5/182
Three letters picked without replacement from ruuktkuxuuruuuuuuyru. Give prob of sequence kku.
1/285
Four letters picked without replacement from {z: 5, o: 9}. Give prob of sequence ozoz.
60/1001
Four letters picked without replacement from {f: 10}. What is prob of sequence ffff?
1
What is prob of sequence bb when two letters picked without replacement from kkkkbkbkkkb?
3/55
Calculate prob of sequence pp when two letters picked without replacement from {q: 2, p: 4}.
2/5
Three letters picked without replacement from xqxwxoqxo. What is prob of sequence owx?
1/63
Two letters picked without replacement from {o: 2, i: 4}. What is prob of sequence oo?
1/15
What is prob of sequence qcc when three letters picked without replacement from cqqccqccqcccccqc?
55/336
What is prob of sequence ioi when three letters picked without replacement from mmmommmymiiommmm?
1/840
Calculate prob of sequence qoq when three letters picked without replacement from {q: 2, z: 1, o: 1}.
1/12
Calculate prob of sequence lj when two letters picked without replacement from {j: 4, e: 4, n: 4, x: 5, l: 1, i: 2}.
1/95
Three letters picked without replacement from kwkwwkkkkkkkkkwwwk. What is prob of sequence kkk?
55/204
Two letters picked without replacement from {i: 3, r: 5, e: 1, j: 1, h: 1}. Give prob of sequence ji.
3/110
Three letters picked without replacement from {k: 2, a: 5, g: 4}. What is prob of sequence aag?
8/99
What is prob of sequence mmm when three letters picked without replacement from {m: 5}?
1
Three letters picked without replacement from mjwhjjrpppw. What is prob of sequence jwm?
1/165
Three letters picked without replacement from {e: 4, y: 2}. What is prob of sequence eey?
1/5
What is prob of sequence rq when two letters picked without replacement from {e: 10, r: 1, y: 4, q: 2}?
1/136
What is prob of sequence in when two letters picked without replacement from eheerenhiehq?
1/132
Calculate prob of sequence kz when two letters picked without replacement from zxkkauxaakzkaa.
4/91
What is prob of sequence uzuu when four letters picked without replacement from {u: 1, k: 3, z: 1}?
0
Two letters picked without replacement from lslzylsllllllll. Give prob of sequence lz.
11/210
Two letters picked without replacement from {c: 10, w: 2, u: 1, d: 1, x: 5, y: 1}. Give prob of sequence ud.
1/380
Two letters picked without replacement from {p: 1, w: 1, s: 6, x: 4, j: 4}. What is prob of sequence ws?
1/40
What is prob of sequence hp when two letters picked without replacement from {f: 2, o: 2, p: 6, h: 8}?
8/51
Two letters picked without replacement from {t: 1, n: 5, g: 2, u: 3, m: 1}. Give prob of sequence tm.
1/132
Three letters picked without replacement from vbrvvvbbr. What is prob of sequence bbb?
1/84
Four letters picked without replacement from {p: 3, q: 5, y: 1, t: 3}. Give prob of sequence tptq.
1/132
What is prob of sequence oxh when three letters picked without replacement from {n: 2, o: 5, h: 11, x: 1}?
55/5814
Four letters picked without replacement from cvccvpqccsqqcp. Give prob of sequence qqsp.
1/2002
What is prob of sequence fpr when three letters picked without replacement from {r: 1, f: 2, p: 1}?
1/12
Three letters picked without replacement from {r: 2, a: 2, b: 2}. Give prob of sequence bra.
1/15
Calculate prob of sequence lil when three letters picked without replacement from kllkikklk.
1/84
Calculate prob of sequence qu when two letters picked without replacement from pkpqukunujjuuuk.
1/35
Three letters picked without replacement from {i: 2, r: 3, y: 10}. Give prob of sequence irr.
2/455
Two letters picked without replacement from {x: 8, u: 5}. What is prob of sequence uu?
5/39
Two letters picked without replacement from batautotaaaoaabotlao. What is prob of sequence ub?
1/190
Calculate prob of sequence ffu when three letters picked without replacement from {q: 4, u: 8, f: 4}.
1/35
Calculate prob of sequence gg when two letters picked without replacement from {m: 3, g: 6, x: 4}.
5/26
Four letters picked without replacement from pxxpxxprpxrxprpsp. Give prob of sequence xxpx.
1/68
Two letters picked without replacement from ibbtbbsj. Give prob of sequence bj.
1/14
Two letters picked without replacement from {h: 4}. What is prob of sequence hh?
1
What is prob of sequence gyt when three letters picked without replacement from {t: 1, e: 1, o: 2, m: 4, g: 1, y: 3}?
1/440
Four letters picked without replacement from {b: 4, p: 3}. Give prob of sequence bppp.
1/35
What is prob of sequence lql when three letters picked without replacement from qqqqlqqqqqlq?
1/66
What is prob of sequence dgd when three letters picked without replacement from {g: 3, h: 5, d: 3}?
1/55
What is prob of sequence es when two letters picked without replacement from {s: 2, g: 2, e: 1}?
1/10
Three letters picked without replacement from hhcchdhhcchhphh. Give prob of sequence pcc.
2/455
Two letters picked without replacement from {a: 1, j: 2, r: 1}. Give prob of sequence rj.
1/6
Calculate prob of sequence wwff when four letters picked without replacement from wfwff.
1/10
Four letters picked without replacement from rreeuuurerr. What is prob of sequence ueer?
1/88
Two letters picked without replacement from {f: 8, h: 5}. Give prob of sequence hf.
10/39
Two letters picked without replacement from bobzrorbbozrbrrbi. What is prob of sequence ro?
15/272
Two letters picked without replacement from {q: 4, j: 3, f: 1, g: 2, b: 2}. What is prob of sequence bf?
1/66
What is prob of sequence cv when two letters picked without replacement from zccvv?
1/5
Four letters picked without replacement from sylvvyyssyoosy. What is prob of sequence sylo?
5/3003
Four letters picked without replacement from {d: 5, y: 1, w: 1, r: 3, m: 2}. Give prob of sequence yymr.
0
Three letters picked without replacement from {n: 8, a: 1, p: 1, h: 1, d: 1, z: 2}. What is prob of sequence hzz?
1/1092
What is prob of sequence jt when two letters picked without replacement fro | {
"pile_set_name": "DM Mathematics"
} |
- 3. What is the remainder when x(-2) is divided by 24?
21
Suppose -5*h - 4 + 19 = 0, 3*h = 5*f - 1. Let v = -8 + 5. Calculate the remainder when (4/v)/(3/(-9)) is divided by f.
0
Let a(n) = -n**2 + 25*n + 12. Calculate the remainder when a(7) is divided by 29.
22
Suppose -g + 42 + 33 = 3*b, -4*b - 4*g + 108 = 0. Let d = 161 + -67. What is the remainder when d is divided by b?
22
Suppose -3*y = 2*i - 5, -4*y = -i + y + 22. What is the remainder when 3/7 + 4*(-179)/(-28) is divided by i?
5
Let w(g) = 9*g**2 - g + 1. Suppose -5*s + 2*s + 6 = 0. Suppose 2 = 4*x - s. Calculate the remainder when 17 is divided by w(x).
8
Let w(o) = o**3 + o**2 + 1. Let c be 0*-2*1/(-4). Let g be w(c). Let d(f) = 11*f**2 + f. What is the remainder when 34 is divided by d(g)?
10
Suppose -b - b + 12 = 0. Let n(m) = m + 2. Let c(z) = -4*z - 1. Calculate the remainder when n(b) is divided by c(-1).
2
Suppose -3*t = -l + 47, 5*l = 3*t - 0*l + 31. Let x = 19 + t. What is the remainder when 5 is divided by x?
1
Let c = -14 - -16. Let f(w) = -6*w - 4. Calculate the remainder when f(-6) is divided by 43/4 - c/(-8).
10
Let b(c) = c - 1. Let g be b(2). Suppose o - g = 1. What is the remainder when ((-4)/(-6))/(2/6) is divided by o?
0
Let f(u) = 2*u + 1. Let b(j) = j + 1. Let q(r) = 3*b(r) - 2*f(r). Calculate the remainder when 10 is divided by q(-2).
1
Calculate the remainder when (-6)/(-4) + (-23)/(-2) is divided by 3.
1
Suppose 2*h - 5*x = 3*h - 48, -3*x = 4*h - 124. What is the remainder when h is divided by 15?
13
Let x = 0 + 2. Suppose 0 = -2*t - x*t + 16. Suppose t*o - 32 = 24. What is the remainder when o is divided by 5?
4
Let o(c) = -c**2 - 26*c - 6. What is the remainder when o(-11) is divided by 32?
31
Suppose 0 = -2*p + 2 + 2. Suppose -p*o - 82 = -4*o. What is the remainder when o is divided by 14?
13
Suppose -9 = y + 5. What is the remainder when 13 is divided by (y/21)/((-2)/21)?
6
Suppose -5*i + 5*b = -60, 0*i = 3*i + 3*b - 30. Let f be (-2)/(-9) + (-152)/36. Let q = f - -34. What is the remainder when q is divided by i?
8
Suppose 35 - 154 = -7*f. What is the remainder when f is divided by 3?
2
Let s = 30 - -8. Calculate the remainder when 227 is divided by s.
37
Suppose -7 - 29 = -2*m. Suppose -m = s - 4*s. What is the remainder when 17 is divided by s?
5
Suppose a - 5*a + 30 = 2*p, -4*p + 90 = 2*a. Calculate the remainder when 73 is divided by p.
23
Let a = 10 - 5. Suppose 0 = k - 3*f + 37, -2*k - 68 = -a*f + 8. Let l = k - -63. What is the remainder when 58 is divided by l?
18
Suppose -4*v = -62 - 14. Suppose -25 = -4*r - r. What is the remainder when v is divided by r?
4
Let p = 21 - -40. Let n = -42 + p. Calculate the remainder when n is divided by -14*(-3)/6*1.
5
Suppose b - 2*g + 18 = g, -4*b = 4*g - 8. Let r(h) = 2*h**2 - 4. Let i be r(b). Calculate the remainder when 30 is divided by i/1 - -1*2.
14
Suppose -2 = -a + 10. What is the remainder when 19 is divided by a?
7
Suppose 4*h - h - 9 = 0. Let d be h + -2 + (-3)/(-3). What is the remainder when d*18/8*4 is divided by 10?
8
Suppose 0 = 4*i + 5*l - 182, i + 2*l - 47 = -0*l. What is the remainder when i is divided by 11?
10
What is the remainder when 109 is divided by ((-4)/(-6))/((-12)/(-666))?
35
Suppose -3*m - 2*n + 6*n + 47 = 0, -4*n + 4 = 0. What is the remainder when 185 is divided by m?
15
Let g = 8 + -13. Let v = -5 - g. Suppose -3*c + v*c = -27. Calculate the remainder when c is divided by 4.
1
Let p be 3/(-4) + 42/24. Calculate the remainder when 3 + (40 - (0 + p)) is divided by 15.
12
Suppose -v + 1 = -2*l, 0 = -l + 5*l + 12. What is the remainder when (-5)/(16/v + 3) is divided by (4/2 + -3)*-13?
12
What is the remainder when (-12)/8*112/(-3) is divided by 29?
27
Let x(k) = 2*k**2 - 5*k. Let g be x(5). Let c = 81 + g. Suppose -4*b + 90 = -c. What is the remainder when b is divided by 13?
10
Let i be 47 - 2/(2/(-3)). Suppose i = 2*p + 8. Calculate the remainder when 62 is divided by p.
20
Let x = 127 - 95. Calculate the remainder when 63 is divided by x.
31
Let c(a) = -4*a**2 - 5*a - 4. Let j be c(-3). What is the remainder when (-120)/j + (-2)/(-10) is divided by 4?
1
Let n be 1 + 1 - 26*-1. Suppose -2*t - 21 + 3 = -4*l, 4*l - 4*t - n = 0. Let a(c) = 2*c**2 - 2*c - 2. Calculate the remainder when 4 is divided by a(l).
0
Let y(o) = -o + 1. Let g(r) = -r**2 + 2*r + 2. What is the remainder when y(-1) is divided by g(2)?
0
Let u be -8*(-3)/(-2 + -1). Let a(r) = r**3 + 8*r**2 - 6*r - 10. Let o be a(u). Let v = -26 + o. Calculate the remainder when v is divided by 5.
2
Suppose -9 + 3 = -3*w. What is the remainder when 7 is divided by w?
1
Let q = 178 - 93. Suppose -5*k = -0*k - q. What is the remainder when 49 is divided by k?
15
Let z(r) = r**2 - 3*r + 4. What is the remainder when (-50)/(-15)*(-114)/(-4) is divided by z(7)?
31
Let v = -63 - -138. What is the remainder when v is divided by 20?
15
Let s = 18 - 8. What is the remainder when 37 is divided by s?
7
Suppose -5*n = 5*p - 1050, -7*n - 5*p = -8*n + 234. Calculate the remainder when n is divided by 43.
42
Suppose -2*d = 5*o - 17, 3*o - 5*d - 1 = 3. Calculate the remainder when 5 is divided by o.
2
Let c(o) = o**2 + 8*o - 6. Let z be c(-9). Suppose -2*y = z*y - 15. What is the remainder when (4 + -51)*(2 - y) is divided by 24?
23
Let z(j) = j**3 - 6*j**2 + 9*j. Let a be z(6). Suppose 4*f = a + 2. What is the remainder when 27 is divided by f?
13
Let m be 2/(-8) - (-2)/8. Suppose 2*c = 0, 2*y - 5*c - 15 - 93 = m. Let w = -15 + y. Calculate the remainder when w is divided by 10.
9
Let r(f) = -42*f + 2. Let t be r(-2). Suppose 0 = 5*h + 1 - t. Calculate the remainder when 49 is divided by h.
15
Let s = 7 - 10. Suppose 7*b + 9 = 4*b, -2*b - 66 = -3*k. What is the remainder when 34 is divided by -3 + (-2 - s) + k?
16
Let r(g) = g + 23. What is the remainder when r(-9) is divided by 3?
2
Suppose -5*r + 4 = -4*r. Calculate the remainder when 16 is divided by r.
0
Suppose 0 = 26*c - 23*c - 63. What is the remainder when c is divided by 11?
10
Suppose 0*l = -2*l + 4. Suppose o = -2*y - l*y + 121, 0 = -o - 3. What is the remainder when y is divided by 8?
7
Let a = 84 - 75. Let m(x) = -3*x + 4. Let u be m(-4). Suppose h - 2*h = -u. Calculate the remainder when h is divided by a.
7
Calculate the remainder when 5*(-3)/((-6)/16) is divided by (1/(-2))/(2/(-56)*1).
12
Suppose -6*t - 45 = -11*t. Calculate the remainder when 13 is divided by t.
4
Suppose -2*o - 3*q + 0*q = -15, 0 = -o - q + 8. What is the remainder when 25 is divided by o?
7
Suppose -258 = -3*g + 3*l, -g - 4*g + 430 = -l. What is the remainder when g is divided by 45?
41
Let o = 2 + -1. Let d(x) be the second derivative of 2*x**3 + x**2/2 - 4*x. What is the remainder when 24 is divided by d(o)?
11
Let l = 7 + 20. Let c = l - 11. Let v = 30 - -17. What is the remainder when v is divided by c?
15
Let z(p) = -2*p**2 + 3*p. Let f be z(3). Let j = f + 33. What is the remainder when 95 is divided by j?
23
Let x = -6 + 9. Suppose -2*l = x*v - v - 190, 3*v = -12. Calculate the remainder when l is divided by 25.
24
Let k = 32 - 19. Calculate the remainder when k is divided by (-69)/(-9) - 2/(-6).
5
Suppose 30 = n + 3*m, 3*n + 3*m - 70 = -2*m. What is the remainder when n is divided by 6?
3
Let b be (-52 - -2)*(-40)/25. Let g = b - 46. Suppose -6*q = -q + 3*p - 262, 4*p = q - g. Calculate the remainder when q is divided by 17.
16
Let b = 49 + -17. Let l = b - 21. Calculate the remainder when 32 is divided by l.
10
Suppose -2*p + 4*i - 5*i = 5, 3*p + 3*i + 15 = 0. Calculate the remainder when p + 6 + (0 - 0) is divided by 4.
2
Let s(l) = 2*l**2 + 2*l - 1. What is the remainder when s(1) is divided by 1?
0
Suppose 12*n = 7*n + 50. Calculate the remainder when 28 is divided by n.
8
Let g(q) = 9*q - 10. What is the remainder when g(4) is divided by 14?
12
Let v = -18 + 28. What is the remainder when 26 is divided by v?
6
Suppose 0 = 3*s - 18 + 6. What is the remainder when 10 is divided by (s/3)/(2/6)?
2
Suppose -3*o + 452 = -9*v + 4*v, 0 = 2*v - 5*o + 196. Let m = 133 + v. What is the remainder when m is divided by 12?
9
Suppose 8*b - 27 = 5*b. What is the remainder when 41 is divided by 7*-6*(-3)/b?
13
Let w = 26 - 11. Suppose 0 = -3*n + w. What is the remainder when n is divided by 2?
1
Let j = | {
"pile_set_name": "DM Mathematics"
} |
Determine n, given that n**5 - 1413*n**4 - 4245*n**3 - 4247*n**2 - 1416*n = 0.
-1, 0, 1416
Factor -4*n**3/7 + 172*n**2 - 4764*n/7 + 3564/7.
-4*(n - 297)*(n - 3)*(n - 1)/7
Factor 3*f**2/2 + 63867*f/8 + 7983/4.
3*(f + 5322)*(4*f + 1)/8
Factor 3*o**2/5 - 18687*o + 93420.
3*(o - 31140)*(o - 5)/5
Factor -51*l**2 + 510414*l - 60048.
-3*(l - 10008)*(17*l - 2)
Factor 2*z**3 - 3164*z**2 + 68882*z - 377520.
2*(z - 1560)*(z - 11)**2
Factor -16680*o**4 + 16676*o**3 + 4*o**2.
-4*o**2*(o - 1)*(4170*o + 1)
Factor -d**2 + 278*d + 1128.
-(d - 282)*(d + 4)
Factor 2*x**5/13 - 976*x**4/13 - 9910*x**3/13 - 24900*x**2/13.
2*x**2*(x - 498)*(x + 5)**2/13
Factor -2*k**2/3 + 193900*k/3 - 4699651250/3.
-2*(k - 48475)**2/3
Determine u so that -35*u**5 + 5295*u**4 - 11835*u**3 - 12695*u**2 + 4470*u = 0.
-1, 0, 2/7, 3, 149
Let 2*j**2/9 + 3658*j/9 - 18340/9 = 0. What is j?
-1834, 5
Find m, given that -5*m**2 - 6070*m + 79755 = 0.
-1227, 13
Find j, given that 4*j**5 + 3246*j**4 - 204751*j**3/4 + 71297*j**2 - 105015*j/4 + 5789/2 = 0.
-827, 1/4, 1, 14
Factor 4*p**3/3 + 1088*p**2/3 + 76112*p/3 + 287296/3.
4*(p + 4)*(p + 134)**2/3
Factor v**4/4 + 159*v**3/4 + 297*v**2 - 755*v.
v*(v - 2)*(v + 10)*(v + 151)/4
Find b, given that -2*b**5 - 732*b**4 - 67682*b**3 - 124464*b**2 + 737464*b + 794976 = 0.
-182, -4, -1, 3
Factor -y**2/3 - 34256*y - 880105152.
-(y + 51384)**2/3
Factor 4*a**2 + 32136*a + 64545156.
4*(a + 4017)**2
Factor 4*v**2 - 540*v + 11664.
4*(v - 108)*(v - 27)
Solve -4*l**2 - 72*l + 76 = 0 for l.
-19, 1
Solve -3*n**5 - 3546*n**4 + 28494*n**3 - 78468*n**2 + 85653*n - 32130 = 0 for n.
-1190, 1, 3
Factor 8*c**3 - 321*c**2 + 1836*c + 24300.
(c - 18)*(c + 6)*(8*c - 225)
Find g such that -4*g**4 + 1136*g**3 - 9980*g**2 + 22048*g - 13200 = 0.
1, 2, 6, 275
Factor -g**3/4 + 185*g**2/4 + 162*g - 21483.
-(g - 186)*(g - 21)*(g + 22)/4
Factor -158*a**2/7 - 356*a/7 - 80/7.
-2*(a + 2)*(79*a + 20)/7
Determine d, given that -3*d**3 + 1002*d**2 - 6813*d - 17658 = 0.
-2, 9, 327
Factor w**3 - 16*w**2 - 715*w - 4598.
(w - 38)*(w + 11)**2
Find q, given that 16*q**2/5 - 13766*q/5 - 1722 = 0.
-5/8, 861
What is n in -1670*n**4/7 + 3348*n**3/7 - 1686*n**2/7 + 8*n/7 = 0?
0, 4/835, 1
Find v such that -2*v**5/3 - 16*v**4 - 254*v**3/3 - 80*v**2 + 544*v/3 = 0.
-17, -4, 0, 1
Factor 2*v**3 + 63726*v**2 + 63720*v - 127448.
2*(v - 1)*(v + 2)*(v + 31862)
Factor 5*o**3 + 14405*o**2 - 115560*o.
5*o*(o - 8)*(o + 2889)
Determine z so that z**3/8 + 10*z**2 - 19241*z/8 - 2415 = 0.
-184, -1, 105
What is f in -f**3/4 - 113*f**2/2 - 4967*f/4 - 12019/2 = 0?
-202, -17, -7
Suppose j**4 - 49*j**3 - 103*j**2 + 49*j + 102 = 0. What is j?
-2, -1, 1, 51
Factor 5*n**5/2 - 5*n**4 - 415*n**3/2 + 210*n**2 + 4410*n.
5*n*(n - 7)**2*(n + 6)**2/2
What is i in i**4/8 - 5*i**3/8 - 73*i**2/8 + 245*i/8 + 147 = 0?
-7, -3, 7, 8
Suppose -6*r**3/7 - 170*r**2/7 - 484*r/7 + 400/7 = 0. What is r?
-25, -4, 2/3
Solve -4*j**4 - 142020*j**3 - 568036*j**2 - 710028*j - 284008 = 0.
-35501, -2, -1
Factor -2*m**4 - 121*m**3 - 1606*m**2 + 6784*m - 6144.
-(m - 2)*(m + 32)**2*(2*m - 3)
Let 4*s**3 + 100768*s**2 - 201548*s + 100776 = 0. Calculate s.
-25194, 1
Suppose -z**3/5 + 2606*z**2/5 + 44591*z/5 = 0. Calculate z.
-17, 0, 2623
Suppose -3*m**3 - 214791*m**2 - 3844705200*m - 3844490412 = 0. What is m?
-35798, -1
Factor -4*k**3/3 + 52130*k**2/3 + 26066*k/3.
-2*k*(k - 13033)*(2*k + 1)/3
Let -8*d**5/7 - 578*d**4/7 - 1256*d**3/7 + 298*d**2/7 + 1264*d/7 + 40 = 0. What is d?
-70, -2, -1, -1/4, 1
Factor -4*u**4 - 1284*u**3 - 19520*u**2.
-4*u**2*(u + 16)*(u + 305)
Let -3*q**3 - 13599*q**2 + 54432*q - 54444 = 0. Calculate q.
-4537, 2
Solve 2*i**2/25 - 15552*i/25 + 124288/25 = 0.
8, 7768
Find q such that 5*q**4 - 2370730*q**3 + 374687554500*q**2 - 19738790137475000*q - 78961155702500000 = 0.
-4, 158050
Factor v**2/8 - 4*v + 15/2.
(v - 30)*(v - 2)/8
Determine y, given that -2*y**2/3 - 3895936*y/3 - 1897289664512/3 = 0.
-973984
Suppose 4*j**3 + 356*j**2 + 700*j + 348 = 0. Calculate j.
-87, -1
Solve -2*a**5/5 + 32*a**4 + 17388*a**3/5 + 448592*a**2/5 + 3625766*a/5 = 0.
-23, 0, 149
Suppose -24*n**2/5 + 202*n/5 + 126/5 = 0. Calculate n.
-7/12, 9
Factor 2*z**2/3 + 3700*z/3 - 14896.
2*(z - 12)*(z + 1862)/3
Factor 3*u**3 + 141*u**2 - 600*u + 612.
3*(u - 2)**2*(u + 51)
Factor -2*q**3/13 - 70*q**2/13 - 684*q/13 - 2016/13.
-2*(q + 6)*(q + 8)*(q + 21)/13
Determine k, given that 3*k**3 + 36*k**2 - 189*k - 810 = 0.
-15, -3, 6
Factor 3*o**4 - 17856*o**3 + 26551866*o**2 + 53157312*o + 26587587.
3*(o - 2977)**2*(o + 1)**2
Factor -4*p**3 + 556992*p**2 + 1113996*p + 557000.
-4*(p - 139250)*(p + 1)**2
Find a such that -49*a**3 + 2919*a**2 - 1656*a + 236 = 0.
2/7, 59
Solve r**5 + 10*r**4 - 101*r**3 - 542*r**2 + 1792*r + 7840 = 0 for r.
-14, -4, 5, 7
Determine u so that 2*u**2/17 + 1192*u/17 - 340554/17 = 0.
-807, 211
Suppose 45*d**2 + 24085*d + 166390 = 0. What is d?
-4754/9, -7
What is k in -24642*k**4/5 + 5361744*k**3 + 1932256*k**2/5 + 34816*k/5 = 0?
-4/111, 0, 1088
Factor -4*t**3 - 10068*t**2 - 7293852*t - 1156496076.
-4*(t + 219)*(t + 1149)**2
Find v such that -2*v**2/7 - 232*v/7 - 810 = 0.
-81, -35
Factor y**3/6 + 58103*y**2/3 + 38735*y/2.
y*(y + 1)*(y + 116205)/6
Factor -3*w**2/5 - 207912*w/5 - 3602283312/5.
-3*(w + 34652)**2/5
Find a, given that 2*a**5/7 - 1074*a**4/7 + 62172*a**3/7 = 0.
0, 66, 471
Factor 2*w**2/3 + 36*w - 6048.
2*(w - 72)*(w + 126)/3
Suppose -32*s**5/3 - 1328*s**4 - 1958*s**3 + 3686*s**2/3 - 164*s = 0. What is s?
-123, -2, 0, 1/4
Solve a**5/6 + 35*a**4 + 5512*a**3/3 - 35*a**2 - 3675*a/2 = 0 for a.
-105, -1, 0, 1
Solve 11250*t**5/7 - 281850*t**4/7 - 277492*t**3/7 + 2200*t**2 - 208*t/7 = 0.
-1, 0, 2/75, 26
Suppose 3*j**5/7 + 237*j**4/7 - 3723*j**3/7 + 16767*j**2/7 - 23328*j/7 + 10044/7 = 0. Calculate j.
-93, 1, 6
Factor -2*x**2 - 16140*x.
-2*x*(x + 8070)
What is k in 4*k**2 - 423568*k + 1694208 = 0?
4, 105888
Factor 343*u**4/8 - 16678571*u**3/4 - 7148001*u**2/2 - 1021145*u - 97252.
(u - 97252)*(7*u + 2)**3/8
What is q in -q**3 - 8598*q**2 - 18489996*q - 36945608 = 0?
-4298, -2
Find n such that 4*n**3/5 - 156*n**2/5 - 2756*n + 13932/5 = 0.
-43, 1, 81
Solve -3*y**3 + 9630*y**2 - 7728075*y = 0 for y.
0, 1605
Determine v, given that -20*v**3/7 + 512*v**2/7 + 1948*v/7 + 696/7 = 0.
-3, -2/5, 29
Factor z**4/6 + 145*z**3/6 + 1339*z**2/6 - 495*z/2.
z*(z - 1)*(z + 11)*(z + 135)/6
Factor 28*k**3 - 4516*k**2 - 230608*k + 66256.
4*(k - 202)*(k + 41)*(7*k - 2)
Factor 5404*i**2 + 37776*i - 364.
4*(i + 7)*(1351*i - 13)
Factor -3*n**2 + 723*n - 34650.
-3*(n - 175)*(n - 66)
Factor 5*l**3/6 - 13295*l**2/6 + 8817875*l/6 + 8857805/2.
5*(l - 1331)**2*(l + 3)/6
Solve 4*s**5 + 16*s**4 - 5164*s**3 - 121576*s**2 - 958080*s - 2217600 = 0 for s.
-15, -14, -4, 44
Solve -h**2/6 + 1346*h/3 - 1792 = 0.
4, 2688
Factor -6*m**3 + 1239*m**2 - 1839*m - 1230.
-3*(m - 205)*(m - 2)*(2*m + 1)
Solve -4*y**5 - 227*y**4 - 363*y**3 + 1229*y**2 + 1039*y - 330 = 0 for y.
-55, -3, -1, 1/4, 2
Find t such that -2*t**3/9 - 408274*t**2/9 - 2315083694*t + 2315129058 = 0.
-102069, 1
Factor -2*n**3 - 442*n**2 + 4280*n + 32200.
-2*(n - 14)*(n + 5)*(n + 230)
Factor t**3 - 2347*t**2 - 14109*t - 21177.
(t - 2353)*(t + 3)**2
Suppose -4*p**2 + 12586312*p - 9900953110084 = 0. What is p?
1573289
Determine j so that -3*j**3 + 64350*j**2 - 345141216*j + 690025056 = 0.
2, 10724
Find p, given that -p**5 + 20*p**4 + 231*p**3 + 826*p**2 + 1252*p + 696 = 0.
-3, -2, 29
Factor m**2/3 + 1586*m.
m*(m + 4758)/3
Factor -l**4 - 4002*l**3 - 5346648*l**2 - 2395202400*l - 14179598208.
-(l + 6)*(l + 1332)**3
Factor -5*d**5 + 6215*d**4 - 18615*d**3 + 18605*d**2 - 6200*d.
-5*d*(d - 1240)*(d - 1)**3
Find m, given that 2*m**4/7 + 39*m**3/7 + 136*m**2/7 + 3*m/7 - 180/7 = 0.
-15, -4, -3/2, 1
Determine a so that 2*a**2/13 - 6814*a/13 + 524 = 0.
1, 3406
Factor 2*a**3 - 4474*a**2 + 141240*a - 264600.
2*(a - 2205)*(a - 30)*(a - 2)
Let -i**3 + 61*i**2 + 74*i - 744 = 0. Calculate i.
-4, 3, 62
Factor -3*u**4 + 439392*u**3 - 878772*u**2.
-3*u**2*(u - 146462)*(u - 2)
Suppose 3*l**4/4 - 1158*l**3 + 843939*l**2/2 + 97181532*l - 229185289377/4 = 0. Calculate l.
-319, 621
Factor -2*w**2 + 116120*w + 232248.
-2*(w - 58062)*(w + 2)
Factor -2*o**2/7 - 208*o + 23808/7.
-2*(o - 16)*(o + 744)/7
Determine f, given that -f**4 - 5853*f**3/2 - 4260175*f**2/2 + 32 | {
"pile_set_name": "DM Mathematics"
} |
-q. Let h(o) = 3*o - 1744. Let j(m) = m - 19. Let z(f) = h(f) - j(f). Determine z(x(s)).
-2*s - 1725
Let o(y) be the second derivative of -y**4/12 + 24*y - 1794. Let j(v) = -5 - v + 61 - v. Give o(j(z)).
-4*z**2 + 224*z - 3136
Let w(n) = 3 + 18130450*n - 18130450*n + 51*n**2. Let m(b) = -8*b**2. Calculate m(w(q)).
-20808*q**4 - 2448*q**2 - 72
Let m(s) = 26073481*s**2. Let o(b) = -2*b**2. What is m(o(t))?
104293924*t**4
Let n(r) = -2*r + 57414637. Let d(m) = 2*m**2. Calculate n(d(o)).
-4*o**2 + 57414637
Let p(u) = -7*u. Let l(y) = -794*y + 851*y - 4 + 4. What is p(l(k))?
-399*k
Let k(l) be the second derivative of 17*l**4/6 - 942*l. Let n(v) be the second derivative of -v**3/3 - 2*v. Calculate k(n(g)).
136*g**2
Let j = 572 + -162. Suppose j = 5*t - 5*r + 2*r, r - 246 = -3*t. Let w(c) = -33*c - 24*c + t*c. Let h(z) = 2*z**2. Give w(h(a)).
50*a**2
Let x(n) = -n**2. Let j(d) = 2*d - 131425051. Determine j(x(g)).
-2*g**2 - 131425051
Let w(v) = 5102*v + 15. Let s(f) = 8*f + 3. Determine w(s(d)).
40816*d + 15321
Let m be 36/27*(-2)/(4/(-3)). Let h(y) = -m*y**2 - 234 + 234. Let d(o) = -49*o. Give d(h(r)).
98*r**2
Let s(w) = 28*w**2 + 10 - 82*w**2 - 19*w**2 + 28*w**2 + 44*w**2. Let q(g) be the second derivative of g**4/6 + g. Give q(s(d)).
2*d**4 - 40*d**2 + 200
Let x(g) = 4812*g**2. Let d(v) = -2*v**2 - 329. Determine d(x(b)).
-46310688*b**4 - 329
Let u(s) = -689*s + 329*s + 356*s. Let f(g) = -122*g**2. Determine u(f(o)).
488*o**2
Let a(k) = 17*k - 2. Let z(y) = 59*y - 7. Let p(h) = 7*a(h) - 2*z(h). Let q(o) = 526*o**2. Give q(p(j)).
526*j**2
Let g(w) = 1836*w. Let v(s) = 5*s**2 + 4*s - 12. Let n(a) = -6*a**2 - 5*a + 15. Let f(r) = 4*n(r) + 5*v(r). Calculate f(g(j)).
3370896*j**2
Let x(c) = -c + 1552909. Let v(j) = -8*j. Calculate x(v(m)).
8*m + 1552909
Let n(z) = -2*z. Let g(t) be the first derivative of 187*t**3 + 1452. What is n(g(m))?
-1122*m**2
Let v(r) = -4*r + 2. Let c(f) be the second derivative of -5*f**3/6 + 3*f**2 + 8*f + 2. Let w(d) = 4*d - 5. Let m(h) = -5*c(h) - 6*w(h). Give v(m(y)).
-4*y + 2
Let o be 1 + (4/(-12))/((-1)/3). Let v(r) = r - r + 6*r - o*r. Let b(h) be the third derivative of -5*h**4/24 - 6*h**2. Calculate v(b(m)).
-20*m
Let l(m) = -4*m. Let z(u) = -7803635*u. What is z(l(n))?
31214540*n
Let s(h) = 2*h**2. Suppose 185*u - 189*u + 12 = 0. Let z(t) = -10 - 15 + 26 - u*t + 2*t. Determine z(s(r)).
-2*r**2 + 1
Let l(u) = 509*u**2. Let t(b) = 74*b - 35*b - 41*b. Calculate t(l(d)).
-1018*d**2
Let o be 140/15*(-4392)/(-48). Let f(h) = -846*h - o*h + 1697*h. Let s(d) be the first derivative of 2*d**3 + 1. What is f(s(b))?
-18*b**2
Let d(t) be the third derivative of -t**5/30 - t**2. Let s(a) = -18848 + 11*a + 37662 - 18813. What is s(d(k))?
-22*k**2 + 1
Let g(y) = -3*y. Suppose 30*o - 506*o + 754 = -99*o. Let c(v) be the second derivative of -2/3*v**3 + 0*v**o + 0 - 12*v. Calculate c(g(t)).
12*t
Let l = 217 - 215. Let q(o) = 4379*o - 4379*o + o**l. Let p(w) = -156*w. Give q(p(t)).
24336*t**2
Let o(s) = 2. Let y(x) = -7*x + 4. Let c = 11 - 9. Let j(n) = c*y(n) - 4*o(n). Let g(i) = -2*i**2. Give j(g(d)).
28*d**2
Suppose -g = -4*f + 715, -431 = -3*f + 4*g + 89. Let k(l) = f*l**2 - 3 + 3 - 191*l**2. Let r(c) = 9*c. What is r(k(o))?
-99*o**2
Let d(s) = 8*s**2. Let l be ((-16)/153 - 56/476)*(-14 - -8). Let a(u) be the first derivative of -14 + 0*u + 0*u**2 + l*u**3. Determine d(a(c)).
128*c**4
Let w(v) = -22*v. Let d(g) = -4 - 2*g + 2 - 3*g**2 + 7*g**2 + 0. Let f = 211 - 208. Let q(y) = -5*y**2 + 3*y + 3. Let x(i) = f*d(i) + 2*q(i). Calculate w(x(m)).
-44*m**2
Let n(k) = -10*k**2. Let p(i) be the second derivative of -i**3/3 - 2*i + 5308. Give p(n(g)).
20*g**2
Let f(i) = 218*i**2. Suppose -49*q + 310 + 229 = 0. Let b(m) = -35*m**2 + 11*m**2 + 11*m**2 + q*m**2. What is f(b(t))?
872*t**4
Let j(z) = 3*z. Let d(i) = -75*i**2 - 103*i - 9. Determine d(j(r)).
-675*r**2 - 309*r - 9
Let r(k) = -k + k + k**2. Let p(b) = -b**2 + 5*b + 9. Let v(q) = 168*q**2 - 770*q - 1386. Let h(a) = -924*p(a) - 6*v(a). Calculate r(h(i)).
7056*i**4
Let s(a) = -30698*a. Let u(j) = -26183*j + 2. Calculate u(s(g)).
803765734*g + 2
Let m(b) = 2*b. Let n(l) be the third derivative of -l**4 - 56*l**2 - 879 + 879. What is m(n(x))?
-48*x
Let y(j) = -1689*j**2. Let q(c) = -1057*c. Calculate q(y(t)).
1785273*t**2
Let r(w) = 624*w - 1. Let p(y) = 42*y**2 - 59*y. Determine p(r(z)).
16353792*z**2 - 89232*z + 101
Let i(u) = 4791 - 4791 + 3*u - 5*u**2. Let h(x) = 3*x**2 - 2*x. Let t(p) = 6*h(p) + 4*i(p). Let q(k) = -25*k**2. Determine q(t(g)).
-100*g**4
Let m(s) = 3024*s - 1508*s - 2 - 1510*s. Let c(t) = 24*t. Give m(c(h)).
144*h - 2
Let i(q) = 376*q - 200*q - 2 + 2 - 174*q. Let y(d) = 3*d**2 + 107*d. Give i(y(g)).
6*g**2 + 214*g
Let z(m) be the third derivative of 0*m**3 - 4*m**2 + 0*m + 0 - 1/8*m**4. Let q(o) = -10500 + 10500 + 2*o. What is z(q(j))?
-6*j
Let v(u) = -296 + 160 - 24*u**2 + 136. Let f(g) = -15*g. Calculate v(f(h)).
-5400*h**2
Let q(c) = -38*c. Let t(r) = -2012*r. What is t(q(n))?
76456*n
Let z(a) = 528*a**2. Let j(w) be the first derivative of -4*w**3/3 + 2316. Calculate j(z(c)).
-1115136*c**4
Let r(q) = -19*q. Let l(o) = 2 + 14*o**2 - 15*o**2 - 1 + o**3 - 2*o**3 + 2*o. Let h be l(0). Let z(g) = 2 - 1 - 2*g**2 - h. Give z(r(u)).
-722*u**2
Let r = -151 - -153. Let u(d) = -36*d**2 - 386*d + 386*d + 9*d**r. Let y(f) = 2*f. Determine u(y(z)).
-108*z**2
Let f(h) = 3496*h - 3496*h - 4*h**2. Let l(i) = -36*i**2 - 16*i + 16. Let a(s) = 0*s**2 + 7*s**2 - 3 + 10*s - 7*s. Let k(q) = 16*a(q) + 3*l(q). Give f(k(m)).
-64*m**4
Let n(j) = j**2 + 6*j + 14. Let z(b) = 27*b**2 + 54*b + 126. Let q(i) = -18*n(i) + 2*z(i). Let c(v) = -246*v**2 - 1. Determine q(c(f)).
2178576*f**4 + 17712*f**2 + 36
Let m(k) = k**2. Let q(n) be the first derivative of 7*n - 1/3*n**3 + 0*n**2 + 47. Calculate q(m(f)).
-f**4 + 7
Let d be (4/(-8))/((-2)/4). Let l(f) = 2*f - 1 + d. Let k(r) = 11*r**2 - 6*r**2 + 10*r - 10*r. What is l(k(q))?
10*q**2
Let g(o) = 318*o**2. Let a(k) = 4*k**2 + 4*k - 34. Calculate a(g(z)).
404496*z**4 + 1272*z**2 - 34
Let c = -441 - -443. Let t(s) = 0*s + c*s - s. Let k(p) = -50*p**2. What is t(k(w))?
-50*w**2
Let g(i) = -3658*i. Let y(j) = -2*j + 6. Let b(m) = -2*m + 4. Let x(v) = 3*b(v) - 2*y(v). Calculate g(x(w)).
7316*w
Let r(m) = -2129637*m**2. Let v(h) = -6*h. Give r(v(p)).
-76666932*p**2
Let c(h) = 377*h - 195*h - 140*h. Let i(p) = 53*p**2. Determine c(i(d)).
2226*d**2
Let c(g) = -3*g. Let w(y) be the first derivative of 2*y**3/3 - y**2/2 + 277*y - 3210. Give c(w(t)).
-6*t**2 + 3*t - 831
Let a(c) be the second derivative of -18*c**4 + c. Let k(n) = -207 + 207 - 129*n**2 + 65*n**2 + 66*n**2. Give a(k(f)).
-864*f**4
Suppose -11*y + 15*y - 296 = 0. Let i(g) = y*g - 33*g - 40*g. Let b(a) = -21*a - 8*a + 5*a - a. What is i(b(t))?
-25*t
Let w(h) = -945445*h**2. Let p(s) = 8*s**2. What is p(w(o))?
7150929984200*o**4
Let v(l) = 811*l**2 - 1. Let x(p) = -91*p**2 - 79*p**2 + 335*p**2 - 80*p**2 - 80*p**2. Give v(x(m)).
20275*m**4 - 1
Let n(x) be the first derivative of -109*x**5/60 + x**2/2 + 7*x + 57. Let c(l) be the second derivative of n(l). Let v(f) = 2*f. Determine c(v(p)).
-436*p**2
Let z(x) = 23*x**2 - 12*x**2 + 1225 - 1225. Let l(o) = 222*o**2. Calculate l(z(s)).
26862*s**4
Let j(f) = -4*f - 16261. Let t(a) = -18*a. Calculate j(t(d)).
72*d - 16261
Let h(q) be the third derivative of q**5/30 + 1632*q**2. Let g(y) = 269*y + 1. Give g(h(z)).
538*z**2 + 1
Let f(x) = 3*x**2. Let s(j) = 14*j**2 + 3. Let w = -96 - -40. Let d(y) = 266*y**2 + 56. Let c = 28 - 25. Let o(h) = c*d(h) + w*s(h). Give o(f(a)).
126*a**4
Let b(f) = 2*f + 1226818 - 1226818. Let j(c) = -1878*c**2. Determine b(j(q)).
-3756*q**2
Let k(a) = 8*a. Suppose 0 = -h - 282 + 997. Let f(w) = -h*w - 5 + 691*w + 5. Calculate f(k(b)).
-192*b
Let x(m) = -309*m**2 + 9*m - 18. Let b(u) = -137*u**2 + 4*u - 8. Let r(o) = 9*b(o) - 4*x(o). Let t(w) = 5*w + 5 + w**2 - 1 - 4. Calculate t(r(s)).
9*s**4 + 15*s**2
Let g(f) = -31*f + 262*f - 3*f**2 - 231*f. Let w(j) = 17*j**2. What is g(w(q))?
-867*q**4
Let p(y) = -233927*y. Let m(o) = -729*o. What is p(m(f))?
170532783*f
Let z(y) = 2*y - 1. Let h(a) = -684*a - 70. Let x(p) = -137*p - 14. Let q(u) = 3*h(u) - 16*x(u). Let k(n) = -q(n) - 14*z(n). Let j(c) = -c. Calculate k(j(s)).
168*s
| {
"pile_set_name": "DM Mathematics"
} |
+ 7)*(-u + u + u))*(-1 - 2 + 0) to the form a + m*u and give m.
-15
Express -l**2 - 8*l**3 + l + 3*l**3 + 4*l**3 as c*l + s + g*l**3 + y*l**2 and give y.
-1
Rearrange ((-1 + 4 - 1)*(2 - 3*s - 2) - 3*s - 1 + 1)*(-1 + 1 + 2) to z*s + v and give z.
-18
Rearrange 0*b**2 + 6*b**2 - 2*b**2 + 11*b**2 to w*b + t + d*b**2 and give d.
15
Express h**3 + 4*h**4 + 260*h - 3 - 258*h + 2*h**4 as g*h**4 + c*h + q + y*h**3 + f*h**2 and give c.
2
Rearrange ((3*o - 6*o + 2*o)*(-1 + 2 + 1) - 15 + 9*o + 15)*(-3*o + o + o)*(-4 + 4 - o**2) to the form s*o**4 + j*o**3 + i*o + f + d*o**2 and give s.
7
Rearrange -18*o**4 - 6 + 2*o**4 + o**3 - 2*o**2 + 17*o**4 - 3*o + 2 to the form g*o + m*o**4 + j*o**2 + l*o**3 + v and give l.
1
Express -9*y + 12*y - 11*y**2 - 3*y in the form a*y + d*y**2 + m and give d.
-11
Express -n - n + 0*n + (n + 6*n - 4*n)*(2 + 2 - 2) + 21 + 8*n - 21 in the form o + h*n and give h.
12
Express (-2 + 2 + 2*p**2)*(-2 - 3 + 6) - 5*p + 3*p - 2*p**2 + p**2 - p**2 - 3*p**2 - 4*p**2 as d + q*p + j*p**2 and give j.
-7
Express (1 - s - 1)*(1 + 0 + 1) + 799 - 3*s - 799 as b + w*s and give w.
-5
Rearrange 2*c + 54*c**3 - 2*c + c**2 - 51*c**3 to s*c**3 + g + t*c + v*c**2 and give t.
0
Express 11*m - 10*m - 5*m - 4*m in the form g + p*m and give p.
-8
Rearrange -q**2 - q - 6*q**3 + 6*q**3 + 2*q - 4*q**3 to the form c + i*q + w*q**3 + p*q**2 and give i.
1
Express -4*a**3 + a**4 - 4*a + 5*a - 2 - 2*a - a in the form q*a**2 + u + o*a + m*a**3 + n*a**4 and give u.
-2
Rearrange -d - 14*d - 6*d + d + 2 - 2 + (-2 - 4 + 5)*(0*d + 3*d - 4*d) + 0*d + 4*d - 2*d + d - 4*d + d + d - d - d to the form r*d + p and give r.
-20
Rearrange -3*x + 8*x**2 + 5*x + 153*x**3 - 78*x**3 - 80*x**3 to i*x**3 + d*x**2 + j*x + b and give i.
-5
Rearrange -3 + 15*k**4 - 76*k**3 + 76*k**3 + 0*k**4 - k**4 - k**4 + (0 + k**2 + 0)*(k**2 + 0 + 0) to the form h + q*k + z*k**2 + x*k**4 + y*k**3 and give z.
0
Rearrange -33*l - 47*l + 8*l to b*l + x and give b.
-72
Express 2*w + 118*w**3 - 85*w**3 - 82*w**3 in the form v*w + u*w**2 + c + d*w**3 and give c.
0
Express -4 - 2*l**4 + 50*l**2 - l + 2*l**3 - 26*l**2 - 26*l**2 in the form f*l**4 + q*l**2 + i*l**3 + p*l + y and give p.
-1
Express (z**2 + 3*z**3 - 2*z**3 + 13*z**3)*(-2 - 2 + 3) as r*z + k*z**3 + d*z**2 + b and give r.
0
Rearrange 2*h - 2*h + h - 1 to p*h + q and give p.
1
Express -2*p + 10*p + p - p as q*p + m and give q.
8
Rearrange 7*z**3 - 6*z**3 + z**3 - 2 - 14*z**4 to b*z**3 + j*z**2 + s*z + m + p*z**4 and give p.
-14
Rearrange -22*r + 158*r + 27*r to n + o*r and give o.
163
Express 5 - 9*h**3 - 3*h - 5 + 8*h**3 in the form k*h**3 + o + l*h**2 + y*h and give y.
-3
Rearrange (5 + 0 - 3)*(-4 - 2 + 5)*(1 + 2 - 2)*(-2*u + 4*u - u) to g*u + t and give g.
-2
Rearrange 2*o + 2*o**3 + 3*o - 5*o**3 to r*o**2 + k + u*o + a*o**3 and give u.
5
Rearrange 3*i + 2 - 32*i + 3*i to k*i + f and give f.
2
Express 9*n - n**2 - 9*n + (11 - 4*n - 11)*(-n + 4 - 4) in the form g*n**2 + r + m*n and give g.
3
Express 3 + 3 + 4*c - 2*c - 4*c - 12*c**4 as u + b*c**3 + j*c**4 + t*c + l*c**2 and give j.
-12
Rearrange (1 + 1 - 1 + m**2)*(11*m - 11*m + 8*m**2) to x*m**4 + p*m**3 + r*m**2 + c*m + z and give x.
8
Express 5 - 4*q + 4*q + 5*q**2 in the form p + x*q**2 + c*q and give x.
5
Rearrange 5*j - 3*j - 4*j + (0*j - 2*j + 3*j)*(-3 + 3 + 1) + 10*j - 113 + 7*j - 15*j to o*j + n and give o.
1
Rearrange -5*c**4 + 3*c**4 + c**4 + (-9*c**2 + 21 - 21)*(0 + 2*c**2 + 0) - 9 - 3*c**4 + 9 to the form a*c**3 + s*c + v*c**4 + r + o*c**2 and give v.
-22
Express -2*d**2 + 3 - 2 - 4 - 4*d + 2*d**4 + 3*d as z*d**4 + m*d**2 + r*d + j*d**3 + c and give c.
-3
Express 1 + 7 - 3 - 4 + 66*i as n + x*i and give x.
66
Rearrange -11*q + 3 - 3 + 38*q to v + x*q and give v.
0
Express (t**2 - 4*t**2 + t**2)*(-15*t - 17 + 17) + (-t**3 + 0*t + 0*t)*(6 - 3 - 2) as r*t**2 + i*t**3 + l*t + b and give l.
0
Express (2*g + g + 0*g)*(7 - 7 + 1 - 3) in the form z*g + o and give z.
-6
Rearrange o + 4*o**4 - 2*o + 6*o**2 - 6*o**4 - 2*o**3 + o**2 to y*o**4 + b + f*o + i*o**2 + n*o**3 and give n.
-2
Express (-2 - 2 - 2)*(-r**4 + 2*r**4 + 0*r**4)*(-2 - 1 + 5) as k*r**2 + h*r + z*r**3 + u*r**4 + a and give u.
-12
Express 1 + 21*j**2 + 11*j**3 + 19*j**2 - 40*j**2 as b*j + u*j**2 + k + v*j**3 and give k.
1
Rearrange (0*f + f**2 + 0*f)*(-4*f + 5*f - 2*f) + (3*f - 2*f - 3*f)*(f**2 + 2*f**2 + 3*f**2) to the form z*f**3 + v + u*f**2 + p*f and give z.
-13
Express (2*v + 2*v - 3*v + (2 - 1 - 3)*(0*v - 3*v + 2*v) + v + v - v - 3*v - 3 + 3)*(-6 + 7 - 9) in the form u*v + t and give u.
-8
Express (-1 + 11 - 1)*(-7 + 4 + 2)*(2*y**2 + 0*y**2 - y**2) as u + o*y + g*y**2 and give g.
-9
Rearrange (9*v + 46 - 46)*(-2*v + 3*v + 0*v)*(4 + 1 - 4) to the form m + z*v**2 + l*v and give z.
9
Express 147*o**2 - 169*o + 169*o in the form v + f*o**2 + d*o and give f.
147
Rearrange 0*r**4 + 3*r**4 - 2*r**4 + (0*r + 0*r - r)*(r**3 + 0*r**3 + 3*r**3) to k*r**2 + o*r**4 + q + p*r**3 + m*r and give o.
-3
Rearrange -26*u + 13*u + 16*u - 5*u**2 to the form w*u + v*u**2 + l and give w.
3
Rearrange -9*n**3 - 8*n - n + 3 + 6*n - 2 to i + a*n**3 + z*n**2 + r*n and give r.
-3
Express -6*x - 56*x + 2*x in the form o*x + c and give o.
-60
Express 25 - 47 + 2*p**4 + 23 + 3*p - 2*p**3 as k*p**3 + j*p + i*p**4 + g + s*p**2 and give i.
2
Rearrange -29 - 3*p**2 - 5*p**2 + 34 + 6*p**2 to k*p**2 + c*p + a and give a.
5
Express 5*p**2 - 3*p**2 - 4*p + 2*p**3 + 5*p**2 - 4*p**2 as q*p**2 + o*p**3 + x + w*p and give w.
-4
Express (0 - 1 + 3)*(-2 + 2 - 2*p) + (4 - 3 - 4)*(1 + p - 1)*(-3 + 3 + 3) in the form t*p + f and give t.
-13
Express 13*f + 0*f**4 - 3 + 2*f**3 - 15*f + 3*f**4 in the form j*f**3 + h*f**2 + y + x*f**4 + w*f and give j.
2
Rearrange (14 - 18 + 56)*(4 - 4 - x) to a*x + z and give a.
-52
Express m**2 + 10*m - 71*m + 29*m in the form n*m**2 + f*m + h and give f.
-32
Rearrange 18*o + 6*o - 2*o to the form b*o + f and give b.
22
Express 2*m - 8*m**3 - 15*m**3 - m**2 + 13*m**3 as w*m + d*m**3 + y + o*m**2 and give w.
2
Rearrange 15*a**2 + 8*a - 3*a**3 - 14*a**2 + a**3 to w*a**2 + h*a + v + k*a**3 and give v.
0
Express (-1 + c + 1)*(3 + 3 - 4) - 3 - 7*c + 3 - 34 - 9*c + 34 + (0*c + 2*c - c)*(2 - 5 + 5)*(-4 + 2 + 4) in the form y + v*c and give v.
-10
Rearrange 0*n**3 + 9*n**3 - 2*n - 2*n**4 - 4*n**3 to the form o*n**4 + b*n**2 + c + p*n**3 + r*n and give p.
5
Rearrange -5 + 19 - 13 - 2*p**2 - p + 2*p**3 to d*p**2 + k*p**3 + l*p + o and give o.
1
Rearrange 231*w - 115*w - 109*w to b + f*w and give f.
7
Rearrange 106 - 129*l - 106 to the form i + c*l and give c.
-129
Rearrange (-2*x - 6 + 6)*(-3*x**3 + 3*x**3 - x**3 + 7*x**2) to the form k + n*x**4 + z*x**2 + d*x + i*x**3 and give i.
-14
Express -2*a**3 - 2*a**3 - a + 3*a**3 + (4*a - 2*a - 4*a)*(-43*a + 18*a + 23*a - 20*a**2) as x*a**3 + d + s*a**2 + y*a and give s.
4
Express -2*w**2 - 2*w**2 + 1 + 6*w**2 + 4*w**3 in the form j*w**3 + c + u*w**2 + f*w and give u.
2
Express -12*c - 5*c - 5 + 5 as j*c + p and give j.
-17
Express (s - 2 + 2)*(11*s - 7*s + s**3 + 11*s) in the form l*s**2 + n*s**3 + t*s + z + q*s**4 and give q.
1
Express (-140 - 18*z**3 + 140 + (z**2 - 3 + 3)*(-z - 4*z + 4*z))*(6 - 2 - 2) as o*z + v*z**3 + b + y*z**2 and give v.
-38
Rearrange 2*o**3 - 38*o**2 + 6*o**4 - o - 3*o**4 + 39*o**2 to the form c*o + h*o**4 + v + a*o**3 + w*o**2 and give w.
1
Rearrange -95*o + 139*o - 86*o to g + n*o and give n.
-42
Rearrange -2 + 2*l**2 + 3*l - 3*l**2 - 6*l - 3*l**3 + 5*l**3 to the form y*l**3 + n*l + m + b*l**2 and give y.
2
Express -82 + 8*s - 121*s + 82 as n + a*s and give a.
-113
Express -1 + t + 1 + (3 - 1 - 1)*(-12*t - 24*t - 12*t) in the form k + s*t and give s.
-47
Express (7*c + 15*c + 12*c)*(-2*c - 2*c + 2*c)*(-c + 0 + 0) in the form r + h*c**2 + p*c + k*c**3 and give k.
68
Express (-3 + 2 + 0)*(-2*h - 2*h + 13*h)*(-3 + 4 - 3)*(-4*h**2 + h**2 + 0*h**2) in the form k*h**2 + m + q*h**3 + y*h and give q.
-54
Rearrange (2*m + 0 + 0)*(-5 + 8 - 4)*(2 + 3 - 2) to the form z*m + n and give z.
-6
Rearrange -13 - 2*a + 13 to d*a + l and give d.
-2
Rearrange 12*d**2 - 10*d**2 + 24*d**2 + d**2 to k*d + b + i*d**2 and give i.
27
Rearrange v**3 + 324*v - 322*v - 2*v**2 - 3*v**3 to the form o*v**2 + k*v + i*v**3 + n and give k.
2
Rearrange -436*z - 12 - 6 + 436*z + 2*z**3 to k*z**3 + c*z**2 + r*z + | {
"pile_set_name": "DM Mathematics"
} |
-q. What is the biggest value in h, b, 4/3?
b
Let g be (-8)/48*-6*(-2)/(-7). What is the second smallest value in 1/4, 17, g, -0.3?
1/4
Suppose 0 = -2*a + 24. Let t be (-2)/5*(-6)/a. What is the second smallest value in 0.5, 5, t?
0.5
Let m = 6/5 - 49/45. What is the second biggest value in -0.5, m, 5?
m
Let w = -44444335/2919 - 8570/417. Let f = -1168284/77 - w. Let h = 74 - f. Which is the biggest value? (a) -2 (b) h (c) 3
c
Let d = 0.2 - -0.1. Let j = 0.5 - 0. Let b = 0.06 + 0.04. What is the biggest value in d, j, b?
j
Let g be ((1/3)/(-1))/(3/(-36)). What is the second biggest value in -0.2, g, 2/21, -5?
2/21
Let t = 0.08 + 2.92. Let z = t - 0. What is the biggest value in 1/4, -1, z?
z
Let o = -9 + 9.06. Let z = -1.94 - o. Let t = -2.4 - z. Which is the second biggest value? (a) 2/17 (b) 2 (c) t
a
Let x(w) = w - 16. Let z be x(18). Suppose z*v - 7 = 3*f, 4*f = -f + 2*v - 5. Let u be -5*-1*(-1 - -2). What is the third biggest value in f, 3, u?
f
Let c = -2.14 + 0.14. Let u = 10 - 18. Let n be 1/4 + 10/u. What is the third biggest value in n, c, -3?
-3
Let h = 96 + -96.2. Let l = 698/5 - 140. Let f = 107/66 - -1/22. Which is the third smallest value? (a) l (b) f (c) h
b
Let m = -0.034 + 2.734. Let h = 0.7 - m. What is the second smallest value in -2/5, -5, h?
h
Let m = -1.3 - -8.3. Let k = 2 - m. Which is the third biggest value? (a) 4 (b) 0 (c) k
c
Let d = -3.8 - -34.8. Let j = 30.96 - d. Let l = -12 - -7. Which is the second smallest value? (a) l (b) 0.5 (c) j
c
Let m = -6 - -5.94. Let k = 0.164 - -4.776. Let t = k - m. What is the second smallest value in t, -3/7, -4?
-3/7
Let f be -2 - (18/(-5) + 2). Let z = -14 + 8. Let w be -3*-2*4/z. Which is the smallest value? (a) -0.3 (b) f (c) w
c
Let v = 50 + -54. Let a = 1/9 + -7/9. What is the second smallest value in v, -0.1, a?
a
Let v = -0.01 - 1.99. Let u = -2 - -6. Let l = 0.1 - 0.2. What is the biggest value in v, l, u?
u
Let l = -1.7 + 1.5. Which is the third biggest value? (a) -1 (b) l (c) 0.07
a
Let t be 5/7 - (-4)/14. Let y = -7/440 + -6/55. Which is the third smallest value? (a) 0.3 (b) t (c) y
b
Let x = -0.31 + -0.09. Let k = -39 - -50. What is the smallest value in k, x, -3?
-3
Let j = 63 + -68. What is the biggest value in 0.5, j, 3/2?
3/2
Let r = -13 - -13.1. What is the second smallest value in r, -0.2, 0.3?
r
Let p be ((-56)/147)/((-2)/3). Let j = -0.3 - -0.4. What is the third smallest value in -0.5, j, p?
p
Let o = 3.8 + -0.8. Let r = o + 1. Let s = 0.5 + -0.5. What is the second biggest value in 0.04, s, r?
0.04
Let m = -42 + 37. What is the smallest value in 5, 0.08, m?
m
Let r = -0.23 + -3.77. Let z = r + 8. Which is the third biggest value? (a) 3/17 (b) z (c) 0.4
a
Let o = -1 - -0.5. Suppose 9 = 2*d + 3. Suppose -3*x + 5*x = -2. Which is the biggest value? (a) d (b) o (c) x
a
Let p = -0.34 + 0.14. What is the smallest value in 0, -5, p?
-5
Let z be (9 + 0/1)*(-22)/(-66). What is the biggest value in z, 5, -0.2, 2/5?
5
Let s = -49 - -51. Which is the third smallest value? (a) 1 (b) s (c) 1/2 (d) 3
b
Let n = 3.6 + -0.6. Let k = -1.3 + 1. Let z = k + 0.2. What is the third smallest value in 0.2, z, n?
n
Let j = 1 + -2. Let b = 0.4 + -0.7. What is the biggest value in b, -2/9, j?
-2/9
Let h be (-31)/18 + (-12)/(-54). Let q be (2 - 0) + -4 + 1. What is the biggest value in -1/7, h, q?
-1/7
Let h = 8 + -8. Let q be ((-18)/(-8))/((-6)/16). Let r be q/(-4) - 2/(-4). Which is the second biggest value? (a) 0.5 (b) h (c) r
a
Suppose 2*o + 5*p = 5*o + 17, 20 = 5*p. Let x = -0.02 + 1.52. Let t = x - 2. Which is the biggest value? (a) o (b) 3/8 (c) t
a
Let f(t) = -t + 10. Let v be f(10). Let n = v - 3. Which is the second smallest value? (a) n (b) 2/3 (c) 0.1
c
Let r = 1.2 + -8.2. Let u = 35 - 25. Let z = r + u. Which is the second biggest value? (a) -1/2 (b) z (c) -5/4
a
Let x = 0.31 + -0.21. Which is the second smallest value? (a) 0.3 (b) x (c) 2/33
b
Let s = 2.2 + 1.8. Which is the biggest value? (a) 0.1 (b) s (c) 1
b
Let k = -0.08 + 3.08. Let q = -2 + -1. Let h = q + k. What is the second smallest value in h, 4, -2?
h
Let s = -5 + 9. Let u = 0 - -0.4. Let v = -9 - -9.5. What is the third smallest value in v, s, u?
s
Suppose 6*p = 2*p + 4. Let t = -2.03 - -0.03. What is the second smallest value in t, 0.2, p?
0.2
Let r = -0.34 - -0.04. Which is the smallest value? (a) -1 (b) -5 (c) -0.2 (d) r
b
Let s = -6.7 + 1.7. Which is the third biggest value? (a) 1/5 (b) 1 (c) s
c
Let z be (-4 + 10)/(6/10). Which is the second smallest value? (a) -5 (b) 0.4 (c) z
b
Let t = -83 + 78. What is the third smallest value in 0, t, 2/5, 5/7?
2/5
Let x = -10 - -6. Let o = 0 - x. Let b = 28/33 + -2/11. What is the third smallest value in -0.2, b, o?
o
Let o = -10 - -7. Let c = -2 - o. Let d = 1.2 - -3.8. What is the second biggest value in 4/5, c, d?
c
Let x be ((-5)/(-135))/(3/237) + -3. What is the third smallest value in -0.5, x, 4, -0.2?
x
Let h = 1 + 2. Suppose 2*y = y - h. Which is the biggest value? (a) y (b) 1 (c) 5
c
Let q = -0.26 + -0.24. What is the second biggest value in q, 0.5, 3/5?
0.5
Let p = -142 - -138. What is the second smallest value in p, -2, 1/8?
-2
Let p = 76.3 + -76. What is the smallest value in -5, 8, p?
-5
Let v(l) = l**3 - 7*l**2 + 2*l - 2. Let t be v(7). Let x be 214/(-102) + 4/t. Let h = x - -142/119. Which is the third biggest value? (a) h (b) 0.3 (c) -0.1
a
Let j = 16 + -16. Let l = 0.3 - 0.2. Suppose 8*g = 3*g - 15. Which is the third biggest value? (a) l (b) j (c) g
c
Let l = 2244.07 + -2234. Let p = -0.07 + l. Let t = p + -5. What is the second smallest value in t, 2/5, 0?
2/5
Let w = -167 + 167.3. Which is the third smallest value? (a) -1 (b) w (c) -4/5
b
Suppose 41 = 4*t - 3*l, t + 47 = 4*t + l. Let z be (9/t)/((-12)/(-14)). Which is the biggest value? (a) 0 (b) -4 (c) z
c
Let x = 0.09 - 0.04. Let u = x + 0.45. Which is the biggest value? (a) u (b) -3 (c) -0.2
a
Let y be 1*(-2)/(-1 + 3). Suppose -4*o - 16 = -4*t, 3*t = -13*o + 11*o - 13. What is the third smallest value in y, 3, o?
3
Let k = -19/14 - -6/7. Suppose -r + 24 = 3*r. Let g be (-8)/20 + r/(-10). Which is the third smallest value? (a) k (b) g (c) 0.4
c
Let d = 0.54 - 0.04. What is the smallest value in d, -0.1, 2/23?
-0.1
Let o = 25 + -25. Which is the third biggest value? (a) -1/3 (b) 0.6 (c) o
a
Suppose 30 + 0 = 5*i. Let w be (-5)/i - (-1)/1. Let r = 67.7 - 68. What is the smallest value in w, r, 1/5?
r
Suppose -3*x - 12 = -4*h, -h - 5*x - 2 = -28. Let i be 27/h*(-3)/9. What is the smallest value in i, -5, 0.4?
-5
Let i = -4 - -4.2. Let y = -0.6 + i. What is the third smallest value in -0.3, y, 2?
2
Let k = 0.38 + -0.16. Let l = k - -0.08. Which is the smallest value? (a) l (b) -4 (c) -4/5
b
Let q = 25/52 - 16/13. Let x = 61 - 58. Which is the third smallest value? (a) x (b) q (c) 0.02
a
Let h = 33 + -17. Let p be (-6)/14*56/h. Let g = -0.3 + 0. Which is the smallest value? (a) g (b) 5 (c) p
c
Let z(k) = -5*k**2 - 5 + 0*k**3 + 7*k + k**3 - k**2. Let q be z(5). Suppose -v + 6*v - 21 = 2*l, -1 = -3*l + v. What is the second biggest value in -2/13, q, l?
l
Let b = -0.028 + 7.328. Let i = -7 + b. What is the smallest value in 4, i, -1/2?
-1/2
Let v(m) = -m**3 + 4*m**2 - 7. Let k be v(3). Which is the second smallest value? (a) k (b) -18 (c) 1/2
c
Let y = -54 + 55. What is the third smallest value in y, -2/7, 2?
2
Let l = -3 - 3. Let m = 8 + l. What is the second biggest value in -2/7, 4, m?
m
Let y = 131 - 915/7. Let i = -16 + 79/5. Which is the third biggest value? (a) 1 (b) i (c) y
b
Suppose 3*h + 3 + 12 = 0. Let k be (-64)/(-12)*(-1)/12. Let n = k + 17/18. What is the third smallest value in n, h, -2?
n
Let j = 32 - 31.94. Let o = 2 - 2.16. Let i = j + o. Which is the biggest value? (a) 5/2 (b) i (c) 2/11
a
Let u be 3*-4*3/(-126). Let k = -1.38 + 0.28. Let z = 1 + k. What is the third smallest value in z, -5, u?
u
Let t be (1/2)/(2/8). Let a = 62 + -314/5. What is the second biggest value in t, 0.4, a?
0.4
Let s = -244/147 + -1/147. Which is the biggest value? (a) 3 (b) s (c) -1/11 (d) 1/4
a
Let v = -23/15 - -4/3. What is the third smallest value in v, -3/5, -2/9?
v
Let n = -0.26 - 0.23. Let | {
"pile_set_name": "DM Mathematics"
} |
(c) 22 (d) -43 (e) 0.11 (f) 2/5
f
Which is the biggest value? (a) -11 (b) 7/33 (c) -0.3
b
Which is the biggest value? (a) 0.3 (b) 0 (c) -2/5 (d) -0.1 (e) 1034.1
e
Which is the sixth smallest value? (a) 1 (b) 65 (c) -4 (d) 34 (e) 22 (f) 0
b
What is the fourth biggest value in -0.5, -0.3, 10, 16?
-0.5
What is the third smallest value in -11/2, -2, -10/11, -4?
-2
What is the smallest value in 8/15, 4, -0.4, 48/13?
-0.4
Which is the second smallest value? (a) 4399.7 (b) -2 (c) 33
c
What is the second biggest value in 0.21, -2/11, -0.4, 511, -5?
0.21
Which is the biggest value? (a) 16 (b) 1 (c) -0.2 (d) 2.4
a
What is the fifth smallest value in 128, 0.4, -1/7, -1, -0.2, 4?
4
Which is the second smallest value? (a) -4/209 (b) 131 (c) 0.4
c
Which is the fifth biggest value? (a) -0.037 (b) -5 (c) -1 (d) -3/2 (e) -3
b
Which is the fourth biggest value? (a) 0.5 (b) 0.1 (c) 27 (d) 1 (e) 9
a
What is the fourth smallest value in -2/7, 0.02, -2/13, 69?
69
Which is the third smallest value? (a) 22841 (b) 31 (c) -0.5 (d) -1 (e) 2
e
What is the second biggest value in 1/19022, -2/3, -8, 1/12?
1/19022
Which is the second smallest value? (a) 2/11 (b) -1/8 (c) 0.09
c
What is the fourth smallest value in 0.06, -1/6, -3/8, -2, -88?
-1/6
What is the third smallest value in -0.3, -7, -5/11, 0.07?
-0.3
Which is the sixth biggest value? (a) -6 (b) 3 (c) 10 (d) -5 (e) 3/154 (f) 0.3
a
What is the biggest value in 0.1, -5, -983, 0, 4?
4
What is the second biggest value in 2/11, 0.3, -11.9, 1?
0.3
What is the fifth biggest value in 4, 0, -3, 1, 0.7, -12/47?
-12/47
What is the second smallest value in 0.492, 0, -2, -6?
-2
What is the fourth biggest value in 157, 1/3, 14, 3, -7?
1/3
What is the fourth smallest value in 21, -0.06, 2/5, -53?
21
Which is the third smallest value? (a) -46 (b) 4 (c) 0.217 (d) 2/11
c
What is the third biggest value in 5/2, -0.03, 1053, -5?
-0.03
What is the third smallest value in -0.2, 0.3, -2/3, 30692, -4?
-0.2
Which is the second biggest value? (a) 0 (b) 0.782 (c) -2/297
a
What is the second smallest value in 201, -1/4, 5, 0.3, 3?
0.3
What is the sixth smallest value in -577, -1/6, 3, -3, 2, -2?
3
Which is the second smallest value? (a) -6 (b) -16 (c) -13/4 (d) 1/10 (e) -3
a
What is the fourth smallest value in 3, 2, -16.6, -4?
3
Which is the second smallest value? (a) -51/2 (b) 4 (c) 3/5
c
Which is the third biggest value? (a) 5 (b) 2 (c) 87995
b
What is the third smallest value in 4, 22, 5, 1/6?
5
What is the fifth biggest value in 23208, -5, 3, -3, 1, 0?
-3
Which is the smallest value? (a) 0.1 (b) -6 (c) 2 (d) -122 (e) 0.5
d
What is the biggest value in 0.301, -2/13, 3, -0.17, -1?
3
Which is the second biggest value? (a) -262 (b) -8 (c) -35 (d) -2
b
What is the fourth smallest value in -22/23, -1, 9, 2/25, 0.2?
0.2
Which is the sixth biggest value? (a) 0.1 (b) 39/7 (c) 5 (d) -0.6 (e) -2/7 (f) 8/5
d
Which is the fourth biggest value? (a) -0.3 (b) 11 (c) -1/15 (d) 0 (e) 1/7 (f) 3
d
Which is the fourth smallest value? (a) 29 (b) 0.0429 (c) 0 (d) 0.2
a
What is the second biggest value in -2/19, 0.2, 0.02, -1/2, -54.2?
0.02
Which is the third smallest value? (a) -57 (b) 1/4 (c) -0.01044
b
Which is the third smallest value? (a) -0.024 (b) 0.05 (c) 152
c
What is the third biggest value in 4, -8382, -1.1?
-8382
Which is the second biggest value? (a) 8 (b) 0.917 (c) -3
b
Which is the fourth smallest value? (a) 0.5 (b) 0.8 (c) -28/9 (d) -0.3 (e) -3/4 (f) -52
d
What is the fourth smallest value in 2, 0, -2/6641, -4/7, 3/10?
3/10
Which is the second biggest value? (a) -4695 (b) -0.5 (c) -11 (d) 0.3
b
What is the third biggest value in -0.1, 1/6, -2/5, -340?
-2/5
What is the second biggest value in -4, -1.05, 0.4143?
-1.05
What is the second smallest value in -2, 152.48, 2/7?
2/7
Which is the second biggest value? (a) -75 (b) -10 (c) -432
a
Which is the third biggest value? (a) 925 (b) -201 (c) -0.01
b
What is the smallest value in 19227, 4/9, -3?
-3
What is the smallest value in 10179, -3, 0.4?
-3
What is the second smallest value in 1.3, 2/5, -3663?
2/5
Which is the second biggest value? (a) -2/25 (b) 0.5 (c) -97
a
Which is the second smallest value? (a) 3/4 (b) -10 (c) -66
b
Which is the fifth biggest value? (a) -4/39 (b) -0.9 (c) -9 (d) -1 (e) 1
c
What is the fifth biggest value in 0.7, -5, -1, -1/10, 86, -0.4?
-1
Which is the third smallest value? (a) 1/153 (b) 7 (c) 0 (d) 0.1 (e) 1.4
d
Which is the second smallest value? (a) -173941/2 (b) -0.5 (c) 0.5
b
What is the third smallest value in -2, -6, 5, 3/2, -47?
-2
What is the second smallest value in -0.06, -26, -4/5, 444?
-4/5
Which is the fifth biggest value? (a) -4 (b) 0.3 (c) -7 (d) 260 (e) 0.01 (f) -1
a
Which is the fifth smallest value? (a) -69/4 (b) -3 (c) -2.6 (d) -1 (e) 2/9
e
Which is the fourth biggest value? (a) 0.5 (b) 2/31 (c) 0.2 (d) 1 (e) 0.0268
b
What is the fourth smallest value in 2/9, -0.047, 1/2, -0.3?
1/2
Which is the smallest value? (a) 65438 (b) 0.1 (c) -1/2 (d) 0.3 (e) -1/9 (f) -0.3
c
What is the second biggest value in -69, -2/9, -131?
-69
What is the fourth biggest value in -3, -1, 0.3, 2.81, 12, 2?
0.3
What is the smallest value in 0.05, 2/9, 144?
0.05
What is the second biggest value in 1, 3766, -0.4?
1
Which is the second smallest value? (a) 1 (b) 144 (c) 0 (d) -0.5 (e) -0.1
e
What is the third biggest value in 1/3, 1, -3848, 0?
0
Which is the biggest value? (a) -1.123 (b) -1/5 (c) 0
c
What is the third biggest value in 1, 0.4, -24163?
-24163
What is the fourth smallest value in 1/5, 151, -1, 18?
151
Which is the third smallest value? (a) -1/2 (b) -0.1 (c) 710
c
What is the second biggest value in 0.078, 236, -2/9?
0.078
What is the fourth smallest value in -1/4, -0.3, 452, 7, 0.5, -1/7?
0.5
What is the third smallest value in -1/5, 1/11, 26, -390?
1/11
What is the third smallest value in 16/5, -211, -2/5?
16/5
What is the fourth smallest value in -1296, 1/8, -7, -5, -2?
-2
Which is the third smallest value? (a) 0.1 (b) 18 (c) -56 (d) 16 (e) 0.2 (f) 2
e
What is the smallest value in 10, -37.8, -4, 2, 5?
-37.8
Which is the fifth biggest value? (a) -4/9 (b) -2/17 (c) -0.18 (d) -94 (e) 4
d
What is the second smallest value in 8, 1/4, -3/17, -20?
-3/17
Which is the third smallest value? (a) -1.6 (b) 3.75 (c) -3/62
b
What is the second biggest value in 0.5, 26/3, -2/31, 1/5, -3?
0.5
Which is the fourth smallest value? (a) 3 (b) -1/3 (c) -3/2 (d) -1669 (e) 2/5
e
Which is the smallest value? (a) -3 (b) 0.4 (c) 1 (d) -4/55
a
What is the second smallest value in 2/7, 197/4, 3, -2/7?
2/7
Which is the smallest value? (a) -1/3 (b) 10 (c) -12 (d) 25 (e) -2/7
c
Which is the smallest value? (a) -21/17 (b) -0.3 (c) -29
c
What is the second smallest value in 9/5, -1070, -4, 6, 0.3?
-4
Which is the second smallest value? (a) 0 (b) 2/49 (c) -4 (d) -2
d
Which is the second biggest value? (a) -1/7 (b) -1714 (c) -2/29
a
What is the third biggest value in -0.5, -2/33, -135, 1/9?
-0.5
What is the third biggest value in 30388, -4, -2?
-4
What is the fifth biggest value in 2, -2/5, -2, 0.11, 1.3?
-2
What is the second smallest value in 3/20, 2, 1/5?
1/5
What is the biggest value in -4, -0.6, 87, 3?
87
Which is the fourth biggest value? (a) -439 (b) 1/2 (c) -4 (d) 5 (e) 0.4
c
Which is the second biggest value? (a) 2 (b) -0.4 (c) -3.51
b
Which is the second smallest value? (a) -12 (b) 1/2 (c) 2/5961
c
What is the third smallest value in -0.1, 2/3, -3/2, -5, 2/11, 1.9?
-0.1
Which is the third smallest value? (a) -120 (b) -2/59 (c) 2 (d) 0.4 (e) -0.2 (f) 1
b
Which is the biggest value? (a) -0.9 (b) -8/18809 (c) -5/4
b
What is the third smallest value in 12/13, 0.4, -1, 6.4, 2, 3?
12/13
What is the third biggest value in 3, -1/4, 0.13, 631, 1/3?
1/3
What is the third smallest value in 6/71, -3, 2, -46/3?
6/71
What is the second smallest value in 5, 2, -176, -7, 0.06?
-7
Which is the third biggest value? (a) -0.6 (b) 433 (c) 2/13 (d) -2
a
Which is the third biggest value? (a) 0.3 (b) -0.04 (c) -27 (d) 3 (e) 0.11
e
What is the fifth biggest value in 419, -4, -2/11, | {
"pile_set_name": "DM Mathematics"
} |
+ -16. Is 10 a factor of q?
True
Let h(b) = b**2 + 7*b - 1. Let k be h(-7). Let w be 1 + 96/((-3)/k). Is w + -6 - (-1)/(-1) a multiple of 13?
True
Suppose 0*y - 12 = -2*g + 2*y, -g = 5*y + 18. Suppose 6*f - g*f + 600 = 0. Is 16 a factor of 1/(3/f*-2)?
False
Let u = 19 - 4. Is 3 a factor of u?
True
Suppose 0*w = -4*w + 8, 2*a - 40 = -5*w. Does 4 divide a?
False
Suppose 19 = -3*k - 11. Let i = k + 16. Let t(f) = 10*f - 7. Does 22 divide t(i)?
False
Let m(a) = -a**3 - 5*a**2 - 2*a - 6. Let w be m(-5). Let o(p) = 2*p - 5. Let d be o(w). Suppose -5*s = d*n - 2, -2*n + 0*s + s + 23 = 0. Does 9 divide n?
True
Suppose 13 = 5*s - 3*d, -s = -3*s - d + 3. Suppose -f + s = -40. Is 14 a factor of f?
True
Let u(m) = -m**2 - 15*m + 6. Let k(l) = -l**2 + 8*l - 5. Let b(v) = -4*v**2 + 25*v - 15. Let t(y) = 2*b(y) - 7*k(y). Let h be t(-8). Is u(h) a multiple of 18?
False
Let m be 1/(1/6*3). Suppose -b - 2*p - m*p + 105 = 0, 195 = 2*b + 5*p. Is 22 a factor of b?
False
Suppose -12 = 2*h - 0. Let f(t) = 2*t**2 + 9*t + 3. Let w(u) = -6*u**2 - 26*u - 10. Let a(g) = -8*f(g) - 3*w(g). Is a(h) a multiple of 21?
True
Let y(t) = -2*t**2 - 9*t + 6. Let r be y(-7). Let b = 21 + r. Let v(i) = -i**2 - 11*i + 5. Is v(b) a multiple of 16?
False
Let t be (-820)/(-50) - 2/5. Suppose -w + t = w. Is w a multiple of 5?
False
Suppose 0*a - 5*a = -10. Suppose 6*n = n - 5, -4*g + 62 = a*n. Is 16 a factor of g?
True
Suppose -36 = -l - l. Is l a multiple of 9?
True
Let r(w) = 10*w**2 - w - 1. Is r(-1) a multiple of 5?
True
Let x = 101 + -42. Does 17 divide x?
False
Let q(a) = 5*a - 1. Let b be q(1). Suppose -3*d + 2*c - 7*c + 17 = 0, 26 = 2*d - b*c. Let l = d + 7. Is 10 a factor of l?
False
Let h = 35 - 17. Is 2 a factor of h?
True
Let s be -3*4/6*-1. Suppose -s - 3 = -z. Is z a multiple of 5?
True
Suppose 5*r - 255 = -0*r. Let u = 74 - r. Is u a multiple of 20?
False
Let g(q) = -q**3 - 8*q**2 + 4*q + 4. Let p be g(-8). Is 27 a factor of (p/7)/((-2)/27)?
True
Let q = 11 - 6. Suppose 4*m = -q*u - m - 5, u - 4*m = 19. Suppose -5*w + 170 = -u*c, -3*w + 30 = -c - 72. Is 16 a factor of w?
False
Let u = -16 - -56. Does 5 divide u?
True
Let g(v) = -v - 5 + 0*v + 12. Let p(c) = -c**3 - 5*c**2 - 6*c - 5. Let y be p(-4). Is 3 a factor of g(y)?
False
Suppose y = 4*z + 9, 3*y + 5*z = 4*y - 7. Does 3 divide y?
False
Let r(u) = u**3 - u**2 + u + 6. Let f be r(0). Suppose f*x - 312 = 2*x. Does 12 divide x/(-6)*(0 + -1)?
False
Suppose -3*m + 4*k + 38 = -30, -3*m - 2*k + 56 = 0. Does 10 divide m?
True
Let x(k) = -k**3 + 3*k**2 + 5*k - 4. Let c be x(4). Suppose l - 13 = 19. Suppose c = -v - v + l. Is v a multiple of 6?
False
Let l(n) = 2*n - 7. Let g(u) = 10*u**2 - u + 1. Suppose -3*b = -5*b + 2. Let d be g(b). Is 6 a factor of l(d)?
False
Suppose -r + 2*r = 3. Suppose -2*h = r*h + 15. Is (2/(-2))/(h/231) a multiple of 26?
False
Suppose 5*z - 3*z - 40 = 0. Is z a multiple of 15?
False
Suppose -5*g + 268 - 1538 = -5*u, -4*g + 1032 = 4*u. Suppose 7*l - 3*l - u = 0. Does 19 divide l?
False
Is 14 a factor of -6*(-5 + (-1 - 1))?
True
Let m(n) = -6*n + 2. Suppose -2*c + 2*o = c, 4 = -5*c + 2*o. Let x be m(c). Let u = -6 + x. Is u a multiple of 3?
False
Is 15 - (-2 + 2/(-1)) a multiple of 3?
False
Let t be 24 + 0/(-3 - -5). Suppose 0 = -2*s - s + t. Is 3 a factor of s?
False
Let o(a) = a**2. Let u be o(2). Let x be u - 4 - (3 - 1). Does 7 divide (-5)/(-1*x/(-8))?
False
Suppose -3*h = -8*h. Let f = h - -36. Does 18 divide f?
True
Let x be (-12)/(-16) - 26/(-8). Let n = x + 37. Is n a multiple of 21?
False
Let r(m) = -m**3 + 16*m**2 - 32*m + 10. Is 16 a factor of r(13)?
False
Let m(f) = -f - 1. Let w be m(-2). Is 10 a factor of (1 + -1 + 20)/w?
True
Let y(q) = -q**3 + 23*q**2 + 35*q + 7. Is 64 a factor of y(24)?
False
Suppose 2*b + 21 = -3*y + 82, -4*b = -5*y + 65. Is (-4)/(-24) - y/(-6) even?
False
Suppose 6*i - 41 = 5*i. Does 8 divide i?
False
Suppose -6*o = o - 336. Is o a multiple of 12?
True
Is 2/(((-48)/220)/(-6)) a multiple of 13?
False
Suppose -f = -0*f. Let y = 24 - f. Is y a multiple of 7?
False
Let a(y) = -y**3 + 6*y**2 - 3*y - 3. Does 7 divide a(5)?
True
Let m = -6 - -42. Does 12 divide m?
True
Let f be ((-1)/(-2))/((-2)/(-12)). Suppose -2*g = 4*x - 64, -x = x + f*g - 32. Suppose 2*h - 4*p = x, -18 = -5*h - 3*p + 2*p. Is h a multiple of 4?
True
Let r = 8 + -5. Suppose 0 + 18 = r*m. Does 3 divide m?
True
Let l = -118 - -173. Does 13 divide l?
False
Let p(m) = m**3 - 11*m**2 + 5*m + 7. Let l be p(10). Let w be (156/8)/(1/(-4)). Let c = l - w. Does 12 divide c?
False
Let s(v) = -4*v**3 + 3*v**2 - 6*v - 1. Let r(d) = d**3 + d**2 + d + 1. Let a(o) = 3*r(o) + s(o). Suppose -i + 2 = -3. Is a(i) a multiple of 12?
True
Is (-4 + 4 - 2) + 182 + 0 a multiple of 13?
False
Let f be ((-48)/(-40))/((-2)/(-15)). Suppose -3*s - f + 69 = 0. Is 4 a factor of s?
True
Suppose -69 = -3*z - 5*j, -3*j = 3*z - 0*j - 75. Let p = 57 - z. Is 11 a factor of p?
False
Let d(i) = 2*i**2 + 7*i - 24. Is d(6) a multiple of 6?
True
Let s(w) = 2*w**2 - 13*w - 14. Does 28 divide s(14)?
True
Let v(i) be the first derivative of -4/3*i**3 + 1/4*i**4 + 0*i + i**2 + 2. Is 6 a factor of v(4)?
False
Let v(n) = -172*n + 2. Let i be v(1). Suppose 4*x - 98 = -578. Let m = x - i. Does 13 divide m?
False
Let r be (52/16 + 2)*8. Let z = -23 + 41. Suppose 0 = 2*x + 4*s - r, 5*x - z - 87 = -5*s. Does 7 divide x?
True
Let k(i) be the third derivative of -i**6/120 - 13*i**5/60 - 7*i**4/12 + 2*i**3/3 - 7*i**2. Is k(-12) a multiple of 14?
True
Suppose -4*p - 13 = c - 29, p = 3*c + 17. Let j = 9 - p. Is 2 a factor of j?
True
Let b(w) = -44*w + 4. Let j be b(-3). Suppose -4*d + j = 16. Does 14 divide d?
False
Suppose 16 = -f + 18. Suppose l = -s, 9 = -s - 2*s. Suppose -53 = -f*v + l*b, -2*v - 3*b + 42 = v. Is 19 a factor of v?
True
Suppose -3*a + 0*z + 329 = -z, a = -2*z + 98. Suppose -4*p - r + 2*r = -a, -5*p - 3*r + 135 = 0. Is 9 a factor of p?
True
Let c = 43 - -134. Does 43 divide c?
False
Suppose 2*k - k + 3 = 0. Let c = 0 - k. Suppose 8*g - p = c*g + 80, g = -2*p + 27. Is 17 a factor of g?
True
Let d = -76 + 125. Suppose -5*n + 16 = 3*s + d, -2*n = 4*s + 30. Let k(g) = -2*g + 8. Does 17 divide k(s)?
False
Suppose -b + 13 + 24 = -4*j, -5*j = b + 8. Suppose 25 = 3*f - b. Let g = 34 - f. Does 10 divide g?
True
Suppose 5*r = -2*f + 148, -6 = -2*r + 2. Is f a multiple of 22?
False
Let l = 10 - 5. Suppose -2*r + 15 = -l. Suppose 4*t - r = 3*t. Does 10 divide t?
True
Let z(o) = -10*o - 2 + o**2 - 2*o**2 - 8. Let m = 9 - 17. Is z(m) a multiple of 2?
True
Suppose -5*r - 5*a - 130 = 0, -26 = 2*r - r - a. Let x = r - -53. Is x a multiple of 12?
False
Suppose -4*g = -4*p + 16, 2 = -p - 2*g + 6. Suppose 5*o - p*z - 1148 = 0, 4*o - z - 910 = -2*z. Suppose 7*r = 3*r + o. Is 21 a factor of r?
False
Let z = -460 - -653. Let j = -93 + z. Suppose c - j = -4*c. Is 9 a factor of c?
False
Let y(d) = d**2 - 6*d + 3. Is 3 a factor of y(6)?
True
Let h = -24 - -80. Does 27 divide h?
False
Let d be 1 + 2 - 0 - 1. Suppose d*g - 22 - 4 = 0. Does 13 divide g?
True
Let l = -28 - -31. Suppose -w = 3, -l*k + 0*k - 5*w = -159. Is 29 a factor of k?
True
Let j(i) = -i**2 - i. Let q be j(-1). Suppose 0 = 5*l - q*l - 110. Does 5 divide l?
False
Let o = 0 - 0. Suppose 2*c - 18 = -o*c. Suppose 2*p - 29 = -c. Does 6 divide p?
False
Let o(v) = -v**2 - 8*v - 8. Let h(z) = z**3 + 5*z**2 - 2*z + 1. Let u be h(-4). Suppose -4*c - u + 1 = 0. Does 2 divide o(c)?
True
Suppose 0*y + y - 2 = 0. Let c(p) = 2*p - 15*p**3 - 1 - y*p. Is c(-1) a multiple of 14?
True
Let q be -3*1/(-3)*2. Let p(o) = -q + 0 + 4 - 3*o. Is 8 a factor of p(-6)?
False
Suppose -2*u + 5*u = c + 13, 0 = -3*c + 5*u - 19. Let q(i) = 2*i**2 + 2 + 4*i**2 - i**3 - 5 + c*i. Is q(3) a multiple of 15?
True
Suppose -3*s + s = -76. Does 13 divide s?
False
Let f be 3/5 + (-1574)/(-10). Suppose n + f = 3*n. Suppose 1 = -2*k + 2*m + n, 2*m = 3*k - 114. Is 18 a factor of k?
True
Suppose -b - 2*p + 23 - 3 = 0, -3*b = p - 60. Let k = b - 6. Does 7 divide k?
True
Let u(j) = j**3 - 10*j**2 + 7*j + 14. Does 14 divide u(10)?
True
Suppose 5*m = 3*m + 6. Let u = 7 - 5. Suppose -u*l + 20 = m*l. Is 3 a factor of l?
False
Suppose 0 = 4*v - 54 + 354. Suppose -2*t - 113 = t - 2*d, -8 = 4*d. Let y = t - v. Is y a multiple of 14?
False
Let a = -6 + 8. Suppos | {
"pile_set_name": "DM Mathematics"
} |
What is 6531 divided by 3?
2177
What is -5535 divided by -45?
123
Calculate -23 divided by -24.
23/24
Calculate -271 divided by -6.
271/6
What is -5 divided by 10?
-1/2
Calculate -4 divided by 308.
-1/77
Divide -3385 by -1.
3385
Divide 4154 by -134.
-31
Calculate 4 divided by -90.
-2/45
-1 divided by 33
-1/33
Calculate -11113 divided by -5.
11113/5
What is 10 divided by -5?
-2
Divide 472 by -1.
-472
948 divided by -158
-6
6 divided by 28
3/14
Calculate -704 divided by -176.
4
What is 6474 divided by -2158?
-3
What is -4 divided by 1904?
-1/476
What is -198 divided by -22?
9
Divide 1634 by -19.
-86
What is -1154 divided by 2?
-577
What is -5 divided by -285?
1/57
-250 divided by 5
-50
Divide -294 by 98.
-3
Divide -37 by -71.
37/71
Calculate 4284 divided by -9.
-476
Divide 36206 by -4.
-18103/2
2445 divided by -5
-489
Calculate 0 divided by 862.
0
What is -85 divided by -5?
17
Calculate -1308 divided by -6.
218
Divide -1858 by 1858.
-1
-650 divided by -25
26
Calculate 427 divided by 3.
427/3
3556 divided by -889
-4
Divide -5868 by -2934.
2
Divide -10 by 10.
-1
What is 2540 divided by 1?
2540
Divide 9620 by -5.
-1924
What is -341 divided by 9?
-341/9
Divide 0 by 118.
0
Divide -5 by 45.
-1/9
Calculate -51 divided by -1.
51
Calculate -1248 divided by 6.
-208
What is 252 divided by -6?
-42
Calculate 10 divided by 51.
10/51
Calculate 676 divided by -6.
-338/3
2 divided by 153
2/153
Divide 1 by 98.
1/98
Divide 7 by 18.
7/18
Calculate 426 divided by -2.
-213
What is 1042 divided by -1?
-1042
Calculate 256 divided by 32.
8
-150 divided by -2
75
78 divided by 4
39/2
Calculate 7492 divided by 1.
7492
Divide 2 by -1922.
-1/961
Calculate 17 divided by -164.
-17/164
Calculate 1 divided by -26.
-1/26
5 divided by -2779
-5/2779
What is 6108 divided by 509?
12
4 divided by -67
-4/67
What is 1387 divided by -2?
-1387/2
Calculate 12411 divided by 1379.
9
Calculate 5 divided by 141.
5/141
-416 divided by -8
52
What is 4512 divided by -2256?
-2
Calculate 60 divided by 3.
20
What is -3 divided by -1614?
1/538
Calculate -8622 divided by -6.
1437
Calculate 11 divided by 9.
11/9
6 divided by 27
2/9
-2405 divided by -37
65
-4 divided by 32
-1/8
Divide 216 by 2.
108
8 divided by 2546
4/1273
-192 divided by -3
64
Calculate -510 divided by 255.
-2
-606 divided by 6
-101
Divide 14559 by 211.
69
Calculate -3 divided by 38.
-3/38
Divide -3469 by -2.
3469/2
-454 divided by -1
454
2056 divided by 4
514
What is 2 divided by -53?
-2/53
What is 0 divided by -1447?
0
Divide 120 by 5.
24
-5 divided by 1188
-5/1188
Divide -382 by 2.
-191
Divide -1176 by 588.
-2
-2001 divided by 667
-3
What is 7507 divided by 6?
7507/6
Divide -4 by -49.
4/49
-3048 divided by 1524
-2
332 divided by 83
4
-51 divided by -3
17
Calculate 102 divided by 6.
17
What is -6 divided by 56?
-3/28
Divide 1938 by -34.
-57
What is -7420 divided by -1484?
5
What is 195 divided by 65?
3
What is 0 divided by -2534?
0
-3 divided by 221
-3/221
0 divided by -43
0
Divide 12 by -19.
-12/19
What is -86 divided by 6?
-43/3
Divide 1 by 25.
1/25
Divide -11 by 14.
-11/14
Calculate -684 divided by 171.
-4
2187 divided by -729
-3
-1140 divided by -4
285
Divide 276 by -92.
-3
Calculate 104 divided by -19.
-104/19
Calculate 1228 divided by 1.
1228
What is -531 divided by -177?
3
-2670 divided by 445
-6
Calculate 225 divided by -8.
-225/8
Divide 22 by -1.
-22
-1576 divided by 6
-788/3
Divide -5 by -321.
5/321
-1782 divided by 162
-11
What is 2 divided by 4?
1/2
What is 0 divided by -277?
0
3108 divided by -1554
-2
Divide 5 by 8.
5/8
2720 divided by -160
-17
Calculate 372 divided by 186.
2
Divide -1890 by 6.
-315
What is -97 divided by -37?
97/37
What is 10365 divided by -2?
-10365/2
-324 divided by 6
-54
17694 divided by 18
983
What is 13 divided by -16?
-13/16
What is 26 divided by 13?
2
532 divided by 266
2
What is -5514 divided by -6?
919
Calculate 0 divided by -796.
0
Calculate -5401 divided by 1.
-5401
Calculate -5 divided by -4.
5/4
What is -5 divided by -895?
1/179
Calculate -1435 divided by 287.
-5
Divide -5 by 112.
-5/112
What is 1484 divided by -53?
-28
Calculate -3 divided by -118.
3/118
Divide -1457 by 4.
-1457/4
What is 2620 divided by -5?
-524
Divide 24 by 43.
24/43
-54 divided by -7
54/7
Divide -88 by 44.
-2
-2332 divided by -11
212
1 divided by -2392
-1/2392
Calculate -707 divided by 7.
-101
0 divided by 17
0
-3280 divided by 16
-205
What is -527 divided by 31?
-17
Divide 774 by -3.
-258
Calculate 382 divided by 5.
382/5
Calculate -5 divided by -59.
5/59
Divide 122 by 6.
61/3
Calculate -3 divided by -659.
3/659
Calculate 6095 divided by -4.
-6095/4
What is -17440 divided by -2?
8720
Divide 35 by 4.
35/4
Divide -3720 by -744.
5
Divide 33 by -5.
-33/5
What is 258 divided by -3?
-86
Calculate 126 divided by 42.
3
Calculate -27 divided by 14.
-27/14
Calculate 19 divided by 5.
19/5
-612 divided by 1
-612
Divide -5880 by -1.
5880
Divide 39 by -39.
-1
What is 1056 divided by 6?
176
What is -14652 divided by -12?
1221
What is 5 divided by -31?
-5/31
-2096 divided by 524
-4
Calculate -228 divided by 1.
-228
Divide 4356 by -22.
-198
Divide -930 by -4.
465/2
What is -851 divided by -851?
1
Divide 9568 by -2.
-4784
-13468 divided by 4
-3367
42 divided by 14
3
13830 divided by -30
-461
10 divided by 151
10/151
Calculate -5 divided by -127.
5/127
Calculate 0 divided by -16.
0
Calculate -5 divided by 353.
-5/353
What is -159 divided by 29?
-159/29
What is -1597 divided by -2?
1597/2
Divide 2 by 32.
1/16
Divide -41856 by 6.
-6976
What is -20 divided by 18?
-10/9
What is 196 divided by 4?
49
-7902 divided by 6
-1317
What is 108 divided by 2?
54
Calculate -1768 divided by 4.
-442
Divide -23994 by 2.
-11997
What is 400 divided by 80?
5
Divide -5 by -34.
5/34
Calculate 27 divided by 9.
3
What is 10774 divided by 2?
5387
Calculate -10 divided by -73.
10/73
Divide 8152 by -3.
-8152/3
What is -2 divided by 64?
-1/32
4302 divided by -2
-2151
Calculate -2553 divided by 3.
-851
What is -17 divided by 1?
-17
What is -11 divided by -4?
11/4
Divide -60 by -15.
4
Calculate -14 divided by 12.
-7/6
Calculate -2195 divided by -5.
439
What is 0 divided by -19?
0
-384 divided by -32
12
2 divided by 1
2
What is 75 divided by -1?
-75
Divide -4 by 330.
-2/165
-28864 divided by 2
-14432
727 divided by 2
727/2
Divide -5 by 260.
-1/52
-980 divided by -4
245
What is -211300 divided by 5?
-42260
Calculate -664 divided by -2.
332
Divide 384 by 128.
3
Divide -37 by -1.
37
-266 divided by -7
38
What is 1 divided by -2?
-1/2
32284 divided by -4
-8071
Calculate -4 divided by 306.
-2/153
-92 divided by 1
-92
Calculate -32 divided by 8.
-4
What is 1248 divided by 26?
48
What is -1827 divided by -609?
3
Divide -430 by -5.
86
What is 833 divided by -49?
-17
What is -2 divided by 6140?
-1/3070
What is -6390 divided by -3?
2130
-12 divided by 43
-12/43
83 divided by 3
83/3
7 divided by -41
-7/41
What is -2 divided by 62?
-1/31
What is -44 divided by -6?
22/3
Calculate 34075 divided by -5.
-6815
Divide 0 by 41.
0
169 divided by -90
-169/90
Calculate -858 divided by 26.
-33
What is -1126 divided by -2?
563
What is 7 divided by 3?
7/3
Divide -12 by 227.
-12/227
Divide 0 by 14.
0
Calculate -192 divided by -12.
16
Divide -144 by 2.
-72
Calculate 1957 divided by 2.
1957/2
What is 600 divided by 1?
600
Calculate -10197 divided by -3399.
3
Calculate 1092 divided by -12.
-91
-45 divided by 3
-15
What is -66 divided by 3?
-22
Divide 3 by -68.
-3/68
What is -3276 divided by -14?
234
What is 40 divided by 40?
1
Divide -1 by 1327.
-1/1327
What is 6580 divided by -140?
-47
What is -272 divided by -68?
4
-1 divided by -6552
1/6552
Divide -252 by -9.
28
4 divided by 531
4/531
What is 150 divided by -30?
-5
Calculate 3820 divided by -4.
-955
Divide -54 by -9.
6
165 divided by 3
55
4 divided by 67
4/67
-3 divided by -573
1/191
Divide -3177 by 1059.
-3
4476 divided by -4
-1119
Calculate -5036 divided by 1259.
-4
-1195 divided by 5
-239
2 divided by -712
-1/356
Calculate 7 divided by -437.
-7/437
Divide 7 by 1268.
7/1268
What is 538 divided by -269?
-2
Divide 606 by -6.
-101
Divide 416 by -8.
-52
Divide -679 by 20.
-679/20
Calculate -13 divided by -2278.
13/2278
-90 divided by -3
30
0 divided by 622
0
Calculate 23 divided by -19.
-23/19
Calculate 6 divided by 56.
3/28
Calculate -11 di | {
"pile_set_name": "DM Mathematics"
} |
/1)/(0 - g) a prime number?
False
Let l(g) = -g**3 + 10*g**2 + 10*g + 12. Let w be l(11). Suppose 0 = -3*x + 3*k + 3, 4*k + w = -4*x - 3. Is 36 + (2 - (x + 1)) a composite number?
False
Is (-2*(-16255)/(-10))/(-2 + 1) prime?
True
Suppose -13*l = -9*l - 46196. Is l prime?
True
Let a(k) = k**3 + k + 1. Let f be a(0). Let o = f + 3. Suppose -o*t + b = -135, -3*b = 2*t - 7*b - 50. Is t a prime number?
False
Let k = 620 - -5547. Is (-6)/(-8) + k/28 composite?
True
Let n(p) = 2*p + 15. Let o(m) = m + 15. Let x(r) = 4*n(r) - 3*o(r). Is x(16) prime?
False
Let d(q) = -q**2 + q. Let x(j) = 3*j**2 - 8*j - 1. Let u(f) = 6*d(f) + x(f). Let h be u(-1). Is (2/(-3))/(h/33) composite?
False
Let k be ((-1)/3)/((-1)/(-57)). Let q = k + 52. Is q - ((-2)/2 - 1) composite?
True
Let f(w) be the third derivative of 11*w**6/120 + 6*w**2. Is f(1) composite?
False
Let o(w) = -6*w - 1. Let f be o(-1). Suppose 0 = -g + 4*a + 162, -2*g + 469 = g + f*a. Let i = g - 107. Is i a prime number?
False
Suppose 4*g - 9 + 1 = 0. Let o(b) = -6*b - 3 + 4*b**2 - 2*b**2 - 5*b**g - b**3. Is o(-4) a prime number?
True
Let q be (-6)/((-3)/(-1)) - -55. Let t = -22 + q. Is t prime?
True
Let n(b) = -2*b**3 - 4*b**2 - 3*b - 3. Let g be n(-3). Let o be (g/15)/(-4)*-30. Is (-80)/o*(-9)/6 composite?
True
Is 2610/70 + 2/(-7) a composite number?
False
Suppose 0 = 5*n - l + 247, 2*l - l + 103 = -2*n. Let q be n/13 + 2/(-13). Is (2 - (-11)/q)*-148 a prime number?
False
Let y(d) = -17*d - 5. Let a(x) = -x**2 + 2*x + 2. Let z be a(4). Is y(z) a prime number?
True
Let v = -27 - -1508. Is v composite?
False
Let v(c) = -c**2 - 4*c. Let d(y) = -y**3 - 5*y**2 + 2*y + 6. Let f be d(-5). Let t be v(f). Suppose t*s + 7 = s. Is s prime?
True
Let n = 21 + -8. Is n a prime number?
True
Suppose 0*v + 110 = 2*v. Is v a prime number?
False
Suppose -2*u + 0*u + 638 = 0. Is u composite?
True
Let a(s) = 88*s + 9. Let m be a(7). Let h = m + -341. Let i = h + -199. Is i a prime number?
False
Let q(i) = 196*i**2 + 23*i - 2. Is q(3) a prime number?
True
Suppose 4*i = i + 9. Suppose -4*h - 3*x = -940, 448 + 22 = 2*h - i*x. Is h a composite number?
True
Let r(q) = -18*q + 17. Is r(-7) a composite number?
True
Suppose 0 = -y + 8. Let o(a) = a**2 - 5*a - 10. Is o(y) prime?
False
Suppose -4*z - 66145 = -9*z. Is z a prime number?
True
Let x(n) = 75*n + 13. Is x(7) a composite number?
True
Let j(l) = -11*l**3 - 6*l**2 - l + 17. Is j(-5) composite?
True
Let u(s) = s + 8. Let l be u(-6). Is 712/(-4)*l/(-4) prime?
True
Suppose 5*m - 5 = 2*h + 3*h, h + 4*m + 21 = 0. Let t be (87/h)/(4/(-20)). Let g = t + -50. Is g prime?
True
Suppose 2*z = -z + 6. Suppose z*w - 19 = 3*d - 4*d, 0 = 3*w + 3. Is 2 + 0 + d + 2 a composite number?
True
Let p(d) = -d + 9. Let l be p(7). Let f(x) = x**3 + 2. Is f(l) a prime number?
False
Is (-2)/(-3) + 3775/3 prime?
True
Let p = 12 + -8. Suppose -2*h + p*h = 138. Is h prime?
False
Let r(v) = -5*v + 7*v**2 + 15*v**2 - 20*v**2 + 1 + 1. Let y be (2 + -1)/(2/(-10)). Is r(y) a prime number?
False
Is (-15)/(-6)*(-314)/10*-2 prime?
True
Suppose 5*q + 139 = -3*k, k = -5*q - k - 141. Let v = -20 - q. Suppose 3*g = 66 + v. Is g a composite number?
True
Is 258/4 + 6/(-12) + 1 prime?
False
Let p(u) = -4*u**3 + 4*u**2 - u + 2. Let b be p(-4). Suppose 0 = -4*i - 2*h + b, 3*i + 4*h - 243 = 2*h. Is i a composite number?
False
Let g = -132 + 166. Is g composite?
True
Let l(z) be the second derivative of 0*z**3 + 2*z - 2*z**2 + 1/4*z**4 + 0. Is l(3) composite?
False
Let c be (-16)/(-6)*(-1068)/(-8). Let u = 3 - -3. Is 12/8*c/u composite?
False
Let m(c) = 207*c - 6. Let r be m(6). Is 2/6 + r/18 a prime number?
False
Let x = 2 - -1. Let j(b) = 12*b**3 - 3*b**2 + 2*b - 4. Is j(x) composite?
True
Let t(h) = -176*h - 7. Is t(-3) prime?
True
Let x be 2*6*(-2)/(-8). Suppose -5*r + 0 + 10 = 0. Suppose 0*m - 49 = -x*z + r*m, -3*z + 61 = m. Is z composite?
False
Let b = 3269 - 1870. Is b a prime number?
True
Suppose -644 = 5*r - 9*r. Is r prime?
False
Let f be ((-4)/(-6))/((-5)/(-30)). Suppose -3*w = -m + 19, 3*w + w = -f*m - 4. Suppose -m*o = j - 39, -5*j + j - 4*o + 96 = 0. Is j a composite number?
False
Suppose -2 = -4*l - 14. Suppose 7 - 16 = -3*j. Is (2*-1 - l)*j a composite number?
False
Let b be -1 + (26 - -1 - 1). Let n = b - 7. Suppose n + 28 = 2*x. Is x a prime number?
True
Let v(n) be the first derivative of 14*n**3/3 - n**2/2 - 4*n - 4. Is v(3) prime?
False
Suppose 4*n - 2520 = 4*r, 2*n - r = -0*n + 1261. Is n a prime number?
True
Suppose -3*u + 0 = -5*d - 4, 4 = -4*d + 2*u. Is (-1)/d*(16 - 4) composite?
True
Let c(z) = 3*z**2 - 4*z - 5. Is c(6) a composite number?
False
Let w = -3 - 3. Is (22/w)/(2/(-30)) prime?
False
Let j = -13 - -5. Let i = j + 31. Is i composite?
False
Suppose 892 = 5*a - 233. Suppose 0 = 3*x - a - 786. Is x composite?
False
Let h(i) = i**2 - 6*i + 5. Let y be h(6). Suppose -r = -o + 2, -r = -y*r. Suppose -o*b = -10 - 28. Is b a composite number?
False
Suppose z + 24 = 4*z. Suppose -k + 3*k = z. Is 159/(2*3/k) a prime number?
False
Let x = 16 + -26. Let p be 2/x + (-3543)/(-15). Suppose 5*j - p = -51. Is j composite?
False
Let f = 706 - 143. Is f composite?
False
Suppose 0 = 3*z + 5*s + 385, -2*z = -0*z - 3*s + 225. Let i = -25 - z. Is i composite?
True
Suppose 0*j = -j + 4. Let x = 97 - 33. Suppose j*n - x = 4*a, -5*n = -0*a - 2*a - 65. Is n composite?
False
Suppose -4*x + 215 = g, -2*x = -2*g - 5*x + 410. Is g a composite number?
False
Suppose 3*t = 535 + 212. Is t composite?
True
Let j(y) = y**2 - 3*y - 2. Let z be j(4). Suppose g - 275 = -0*p - z*p, -5*p + 4*g = -707. Let b = p + -90. Is b a composite number?
True
Let x(k) be the first derivative of -11*k**2 - 5. Is x(-1) a composite number?
True
Suppose j = 1 + 1. Suppose 2*n + j*p + 2 = 0, p - 5*p = -n + 19. Is 2/n - (-1420)/12 a prime number?
False
Suppose 0 = -3*l + 3*v - 6, l + 2*v + 2 = -v. Is (1 - 84)*(l + -3) prime?
False
Suppose -5*g + 22 = 2*j, 0 = -4*j - 2*g + 38 - 10. Let b be ((-380)/15)/((-2)/j). Suppose 102 = 2*q - b. Is q prime?
True
Suppose -3*w - 10 = 8. Let g(o) = -o**2 - 7*o - 6. Let p be g(w). Let q = 47 - p. Is q prime?
True
Suppose -t + 3*t + 12 = 0. Let x = -59 + 57. Is 3/x - 165/t a composite number?
True
Suppose -16 = -3*o - 4*q, 0 = 3*o + 5*q - 16 - 4. Let s(x) = x**2 + x + 69. Is s(o) prime?
False
Let f(i) = i**2 - i - 10. Is f(8) prime?
False
Let q(j) = 5*j + 6. Is q(5) composite?
False
Let d(q) = q**3 - q**2 - q + 1. Let k be d(2). Let z = 2 - 0. Suppose 107 = z*w - k. Is w composite?
True
Let q be 9 - 1 - 3/1. Suppose q*t - 87 = 5*b + 118, -5*b = 20. Is t composite?
False
Let i(b) = -2*b + 115. Let z be 0*4/12*-1. Is i(z) a prime number?
False
Let q(z) = 1007*z**2 - 152*z + 152. Let v(a) = 33*a**2 - 5*a + 5. Let w(l) = 5*q(l) - 152*v(l). Is w(-1) a composite number?
False
Let y be 1/((-1 + -2)/(-15)). Suppose 111 = -y*m - 109. Let k = m + 63. Is k prime?
True
Let g be (-4)/3*(-6)/(-4). Let d(p) = 5*p**3 - p**2 - 4*p - 3. Let b be d(g). Let j = b + 61. Is j a prime number?
False
Let v be 1/4 - (-6)/(-24). Suppose 3*l + 8 = 2*l - 5*f, -3*f - 6 = v. Suppose -l*k + 23 = -39. Is k a composite number?
False
Suppose -7*y + 3*y = -8. Suppose 0 = -y*p + p + 301. Is p a prime number?
False
Suppose -963 = -g + 4*m + 92, -1023 = -g - 4*m. Is g prime?
True
Suppose -32 = -2*z + 4*b + 50, 5 = -b. Is z prime?
True
Suppose -2*a - 3 = 3. Let g = a + 9. Is ((-30)/(-9))/(2/g) a composite number?
True
Is 5/(-10) - (-1644)/8 a composite number?
True
Let k(g) = 537*g - 5. Is k(2) prime?
True
Let x(d) = 541*d**3 + d**2 - d. Is x(1) composite?
False
Let s = -296 + 481. Is s prime?
False
Suppose 0*g = 2*g - 406. Is g prime?
False
Let u = 467 - 306. Is u a composite number?
True
Let c(t) = t + 167. Is c(0) a prime number?
True
Let t(j) = -10*j**2 + 10*j + 5. Let g be t(5). Let w = -4 - g. Is w prime?
True
Let p be 58/(-4) - (-2)/(-4). Is 4/(-10) + (-771)/p a composite number?
True
Suppose 0 = -6*t + 3085 + 125. Is t a prime number?
False
Let w = 1255 + -588. Is w a prime number?
False
Let n be ((-398)/6)/(5/(-15)). Suppose 0 = 3*d + 6, 15 = 4*r - 5*d - n. Is r composite?
True
Let a(x) = -48*x - 2. Let h = -4 - -3. Is a(h) a prime number?
False
Let i = 1808 - 799. Is i prime?
True
Let w(h) = h**3 + h**2 - 6*h + 10. Let y be w(8). Suppose | {
"pile_set_name": "DM Mathematics"
} |
+ 2 = -5*a. Calculate the remainder when 22 is divided by a/(-4) + 94/8.
10
Let f be 0/((-1 + 2)*-2). Suppose -3*o + 16 = -q, f*q + 3*q - 22 = -o. What is the remainder when o is divided by 3?
1
Let i = -4 + 3. What is the remainder when 16 is divided by 8 + (-2)/(0 - i)?
4
Suppose -5*c = -5*v - 15, -5*c + 30 + 1 = -v. Let d(r) be the first derivative of r**2/2 + 2*r + 4. What is the remainder when d(c) is divided by 5?
4
Let x = 29 - 19. Suppose x = 3*b - 74. Let c(u) = 10*u. Calculate the remainder when b is divided by c(1).
8
Let o(m) = -m**3 + 9*m**2 + 10*m + 4. Let j(f) = f**2 - f - 4. Let d be j(0). Calculate the remainder when -1 + (-2)/d*22 is divided by o(10).
2
Let j be ((0 - 1) + 2)*51. Suppose 3*h - 39 - j = 0. What is the remainder when h*(-4)/(-6) + 2 is divided by 12?
10
Suppose -13 + 4 = -3*v. Suppose 0 = v*w - 2 - 4. Calculate the remainder when 92/20 - 3/5 is divided by w.
0
Let q = -56 + 40. Let y = q + 35. Suppose 3*v - 39 = -4*h + 2, v - 22 = -3*h. What is the remainder when y is divided by v?
5
Let k(c) = -c**3 + 8*c**2 - 9*c + 15. Calculate the remainder when k(6) is divided by 17.
16
Let k = -22 + 28. Let u(t) = -t**3 + 8*t**2 - 2*t - 7. Calculate the remainder when u(k) is divided by 18.
17
Let r(m) = -m + 15. What is the remainder when 16 is divided by r(6)?
7
Suppose -189 = -4*g + 5*k, 3*g + 2*k - 103 = -2*k. What is the remainder when 163 is divided by g?
40
Suppose -17 = -2*q - 1. Suppose 5*t + 61 = 3*j - 138, 2*t - 222 = -4*j. Calculate the remainder when j is divided by 1/4 - (-158)/q.
18
Let n be 5 + -2 - (-18)/2. Let d = 13 - n. Calculate the remainder when 1 is divided by d.
0
Let h(v) = -3*v - 19 + 24 - v - 5*v**2 + v**3. Calculate the remainder when 50 is divided by h(6).
16
Let m(u) = u + 2. Calculate the remainder when m(14) is divided by 3.
1
Let y(c) = 7*c**2 - 7*c - 14. Calculate the remainder when y(6) is divided by 33.
31
Suppose -4*k + 4*p + 151 = -p, -k = 2*p - 28. What is the remainder when k is divided by (-3 - -15) + (4 - 4)?
10
Let q(x) = x**2 - 20*x + 53. Calculate the remainder when 63 is divided by q(19).
29
Let z = 5 - 13. What is the remainder when (-66)/z - 3/12 is divided by 6?
2
Suppose -13 = -u + 9. What is the remainder when 63 is divided by u?
19
What is the remainder when -5 + (-515)/(-5) + 2 is divided by 52?
48
Suppose -2*b - 78 = -8*b. Calculate the remainder when b is divided by 8.
5
Suppose 1 - 17 = -4*c. Let t = 60 + -26. Suppose t + 6 = c*q. What is the remainder when 19 is divided by q?
9
Let g = -11 + 17. What is the remainder when (-4)/(1*(-3)/12) is divided by g?
4
Calculate the remainder when 6/(4*(-1)/(-78)) is divided by 20.
17
Suppose 0 = -390*j + 387*j + 243. What is the remainder when j is divided by 29?
23
Suppose 11 = z + m, 2*m - 70 = 4*z - 9*z. Calculate the remainder when 31 is divided by z.
15
Suppose -52*q = -59*q + 63. What is the remainder when 56 is divided by q?
2
Suppose 45 = 3*f + 3*y - 6*y, 0 = -3*f + 2*y + 46. Let g = 15 + -12. Let d = g + 42. What is the remainder when d is divided by f?
13
Let u = 15 + -23. Let a be (-1)/(3/(-3)) + u. Let v(r) = -4*r - 2. What is the remainder when v(a) is divided by 14?
12
What is the remainder when 29 + 0 - -3*1 is divided by 17?
15
Let z(x) = x**2 + x - 6. What is the remainder when 196 is divided by z(7)?
46
Suppose 5*p - 22 = -h, 0 = 4*h - 5*p + 1 + 11. Let u = 2 + h. Suppose -1 = -2*m + z, m + u*z = 6*m + 5. Calculate the remainder when 8 is divided by m.
2
Suppose 8*z - 195 = 13. What is the remainder when 124 is divided by z?
20
Let h(y) = -y**3 + 5*y**2 + 5*y - 4. Let o be h(5). Suppose 0 = -4*g + 5*m - 27, -g = 3*g - 3*m + o. What is the remainder when 40/6*(0 - g) is divided by 7?
6
Let n = 1 - 0. Let i(a) = -6*a**2 - a. Let r be i(-1). Let o(v) = v**2 + 5*v + 1. Calculate the remainder when o(r) is divided by n.
0
Let m be 81 + 3 + 1 + -4. Let y = m - 52. What is the remainder when y is divided by 10?
9
Let y(l) = -8*l + 3. Suppose 2*m = 5*a + 110, -m + a = -2*m + 55. What is the remainder when m is divided by y(-2)?
17
Let q = 76 - 17. What is the remainder when q is divided by 21?
17
Let b = -3 - -7. Suppose 5*o = b*o + 14. What is the remainder when o is divided by 5?
4
What is the remainder when 39 is divided by 4/(-6) + (-46)/(-6)?
4
Let w(t) = t**2 + 79. What is the remainder when w(0) is divided by 27?
25
Suppose -6*v = -8*v + 46. Calculate the remainder when v is divided by (-2)/6*(-78)/2.
10
Let a = -15 - -26. What is the remainder when 32 is divided by a?
10
What is the remainder when 85 is divided by (-33)/((-18)/4 - -3)?
19
What is the remainder when 1*((4 - 2) + 8) is divided by 4?
2
Let h = -8 + 77. What is the remainder when h is divided by 18?
15
Calculate the remainder when (-4)/6 + (-224)/(-21) is divided by 4.
2
Suppose -4*u - 144 = -5*i, 5*i = 2*u + 16 + 126. Let r = -19 + i. What is the remainder when r is divided by 6?
3
Let g be 1/(-2)*(-2 - 24). Let b = 17 - g. What is the remainder when 15 is divided by b?
3
What is the remainder when 121 is divided by 1 + -30*4/(4/(-1))?
28
Let r = 103 - 73. Calculate the remainder when 1/5 + 1314/r is divided by 12.
8
Suppose 3*n = -h + 148, -5*n - 3*h + 154 + 98 = 0. What is the remainder when 239 is divided by n?
47
Let v = 61 - 38. Calculate the remainder when 87 is divided by v.
18
Suppose -33 = -2*k - r - 0*r, -5*k + 84 = 4*r. Calculate the remainder when 63 is divided by k.
15
Suppose -22*f + 18*f + 300 = 0. What is the remainder when f is divided by 20?
15
Let n = 39 + -19. What is the remainder when 58 is divided by n?
18
Suppose 3*i - 10 = p, 4*p = -0*i - i + 25. Let x(k) = k**2 - 3*k + 3. Calculate the remainder when 25 is divided by x(i).
12
Let p(i) = 2*i**3 - 8*i**2 - 6*i - 2. Let m(b) = -b**3 + b**2 + b. Let c(y) = 5*m(y) + p(y). What is the remainder when c(-2) is divided by 7?
5
Suppose 0*z = 3*z - 33. Let g be 9/2 + 2/(-4). Suppose -g*y - 4*f = -y - 34, 0 = f - 4. Calculate the remainder when z is divided by y.
5
Let b = 16 - 2. Let g(d) = -4*d + 8. Calculate the remainder when g(-8) is divided by b.
12
Suppose i = -j + 55, j + j + 40 = i. Suppose x = 3*r - i, 18 = -5*r - 3*x + 106. Calculate the remainder when 32 is divided by r.
15
Calculate the remainder when (3*-1)/((-3)/78) is divided by 27.
24
Let b be 6*(4/8 + 0). Suppose -5*v + 169 = 3*p, -b*v + v - 3*p = -64. What is the remainder when v is divided by 13?
9
Let t(z) = z**3 + z**2 + 101. Calculate the remainder when t(0) is divided by 102/(-3)*(2 - (-10)/(-4)).
16
Let f = -43 - -48. Calculate the remainder when 72 is divided by f.
2
Let p(a) = a - 4 + 2*a - 1 + 0. Calculate the remainder when p(6) is divided by 7.
6
Calculate the remainder when (2 - -31) + 2 + -5 is divided by 16.
14
Suppose -3*z + 11 = -1. Calculate the remainder when z is divided by 2.
0
Let u = 16 + -16. Let y = 5 - u. What is the remainder when 8 is divided by y?
3
Let r be 0/(0 + 3) + 17. Suppose 5*m - 9 = -i, -2*i - 4*m + r = -7. Let g = -67 - -94. Calculate the remainder when g is divided by i.
13
Calculate the remainder when (2 - 5)*(-1)/1 is divided by 2.
1
Suppose -4*b + t + t + 54 = 0, -4*b + 3*t + 51 = 0. What is the remainder when 29 is divided by b?
14
Let f(q) = -q**2 - q + 13. What is the remainder when 36 is divided by f(0)?
10
Let c(s) = -s**2 - 25*s - 32. What is the remainder when 138 is divided by c(-23)?
12
Let j be 22/8*36/3. Let s(l) = l**2 - 7. What is the remainder when s(-5) is divided by (-1)/2 - j/(-6)?
3
Let r be 0/(1 + -2 + 2). Suppose r*v = v - 44. Let z(s) = 15*s**3 - s**2 + 1. What is the remainder when v is divided by z(1)?
14
Suppose 2*l + y - 3714 = 0, y - 3*y = -8. Let k = l - 1043. Calculate the remainder when 6/14 + k/49 is divided by 10.
7
Suppose 7*y - 4*y = 51. Calculate the remainder when 202 is divided by y.
15
Let c = 46 - 22. What is the remainder when c is divided by (-134)/(-10) - 6/15?
11
Let c(u) = u**3 + 7*u**2 + 7*u + 7. Let j = -14 + 26. Calculate the remainder when c(-5) is divided by j.
10
Suppose -2*u - 165 = -5*u. Calculate the remainder when u is divided by 14.
13
Let t be (4/6)/((-16)/(-600)). Suppose i + 4*v = t, -25 = -i + 2*v + 3*v. Calculate the remainder when i is divided by 13.
12
Let z(w) = -4*w**3 - w**2. Let g be z(-1). Suppose 0 = | {
"pile_set_name": "DM Mathematics"
} |
ided by q?
23
Suppose 0 = -5*m + 4*h + 38, -h = 3*m - 2*m - 13. Let c be 1414*5/m + 3. Suppose 11*q - q - c = 0. What is the remainder when q is divided by 20?
11
Let l(x) = 5*x**2 - 238*x - 71. Let z be l(48). Suppose -5*c = z, -2*s - 4*c = -6*c - 34. Calculate the remainder when s is divided by 12.
0
Suppose 0 = -30*f - 8*f - 1938. What is the remainder when 23 is divided by (-45)/f + 42/357?
0
What is the remainder when 1130 is divided by 552/5 - (-18 - 1748/(-95))?
30
Let d be (-90)/(-4)*918/(-81). Calculate the remainder when 153 is divided by (-14)/8 - d/20.
10
Let b = -581 + 2155. What is the remainder when b is divided by 67?
33
Suppose -s + 3*l = -29, 5*l + 1 + 4 = 0. Suppose 4*i = 2*i + s. Calculate the remainder when (-72)/(-216) + (0 - (-124)/6) is divided by i.
8
Suppose 19*z + 15743 = 99*z - 1457. What is the remainder when 1089 is divided by z?
14
Let x(c) = c**3 - 10*c**2 - 16*c + 275. What is the remainder when 1197 is divided by x(7)?
13
Let z be (-706)/3*396/(-24). Suppose -891 = 34*w - z. Let n = 18 - 0. Calculate the remainder when w is divided by n.
16
Let w = 20902 + -20874. What is the remainder when 727 is divided by w?
27
Let y = -254 + 2202. What is the remainder when y is divided by 15?
13
Let m(v) = v**2 - 38*v + 2. What is the remainder when 632 is divided by m(38)?
0
Let m = -673 - -3106. Calculate the remainder when m is divided by 5.
3
What is the remainder when 1292 is divided by ((-1232)/10)/(6/(-15)) - (-7)/1?
32
Let w = 24 + 5. Let c = -3136 - -3168. Let p = c + w. Calculate the remainder when p is divided by 21.
19
Let o = 80997 + -80700. Let y(c) = -5*c. What is the remainder when o is divided by y(-5)?
22
What is the remainder when 297 is divided by (1 + (-14)/8)/((-30)/1000 + 0)?
22
Let s(d) = 4*d**2 - 5*d + 44. Calculate the remainder when s(7) is divided by 27.
16
Let c = 229 + -107. Let v be 18*(-14*1/(-12) - 1). Calculate the remainder when c is divided by ((-2)/v)/(-5*(-8)/(-1860)).
29
Let t(q) = -14*q**3 + 26*q**2 + 92*q + 10. Suppose -7 = 3*p + 2*u - 4, -2*p + 2*u = -8. What is the remainder when t(-2) is divided by 135/12 + p/(-4)?
9
Suppose 0 = -4*o + k + 42, k = -3*o + 41 - 6. Let s(d) = d + 10. Calculate the remainder when 292 is divided by s(o).
19
Suppose -m = -3*m + 34. Let o = -2152 - -3080. Suppose 0 = 35*n - o - 717. Calculate the remainder when n is divided by m.
13
Let x(f) = -f**3 + 10*f**2 - 18*f + 8. Let t be x(7). What is the remainder when 82 is divided by 87/t + 1/((-3)/(-27))?
10
What is the remainder when (-148)/(-10) + (-25)/(-124 - 1) is divided by 5?
0
Let w(z) = z**3 - 10*z**2 + 20*z + 31. Let s be w(15). Suppose s = 49*b - 33*b. Calculate the remainder when b is divided by 23.
22
Let p = 2393 - 1359. Suppose 29*l - 7*l = p. Calculate the remainder when 184 is divided by l.
43
Let a(q) = 0 + 9 - 3 + 29*q. Calculate the remainder when a(5) is divided by (14/5)/((-326)/(-1630)).
11
Let a(n) = 2339*n + 11798. Let t(r) = 2*r**2 - 7*r - 7. What is the remainder when a(-5) is divided by t(6)?
11
Suppose 2*x - 113 = x. Suppose -4*p + 2*p + 109 = 5*k, 5*k - x = -4*p. Let d = 88979 + -88813. What is the remainder when d is divided by k?
19
Let o(s) = s**3 - 16*s**2 - 17*s + 15. Suppose 5*g - 2*d = -387, -g - 95 = -2*d + 6*d. Let p = 134 + g. What is the remainder when p is divided by o(17)?
10
Let h(f) = -f**2 - 54*f + 5481. What is the remainder when 282 is divided by h(51)?
30
Suppose 3*l = 5*c - 1207, 972 = 4*c - 5*l + l. Calculate the remainder when 974 is divided by c.
18
Let r(j) = -44*j + 581. Calculate the remainder when r(13) is divided by (-3)/(-1)*7/21.
0
Let t = 18760 - 10083. What is the remainder when t is divided by 10?
7
Let y = -3125 - -7091. What is the remainder when y is divided by 64?
62
Suppose 25*f = 38*f - 11861 - 7574. What is the remainder when f is divided by 217?
193
Let u(b) = 26*b - 27. Let h be u(24). Let d = -417 + h. What is the remainder when d is divided by 26?
24
Let v = -20 + 33. Calculate the remainder when v is divided by (-10)/60*15*(5 + -3) - -7.
1
Let y(l) = -l**3 + 10*l**2 + 3*l - 25. Let s be (-3)/(6*3/(-60)). Let u be y(s). Suppose u = -4*w + 49. Calculate the remainder when 43 is divided by w.
10
Suppose -17*d + 12*d + 47867 = -9*s, -2*d = 2*s - 19158. Calculate the remainder when d is divided by 20.
17
Suppose 17*i - 210 = -6. What is the remainder when 547 is divided by i?
7
Suppose -12820 = -7*h - 4182. Suppose k + 217 = h. Calculate the remainder when k is divided by 17.
14
Calculate the remainder when (-287355)/(-735) + (-10)/(-245) is divided by 56.
55
What is the remainder when (1278/710)/((-3)/(-9055)) is divided by 24?
9
Let d(w) = 10*w**2 - 42*w + 21. Let n be d(10). Let a = -583 + n. What is the remainder when a is divided by 4?
2
Let r(o) = o**2 + 221*o - 8610. Calculate the remainder when 2896 is divided by r(34).
16
Let z(b) = -5*b**3 + 34*b**2 + 8*b + 21. Suppose -5*f + 84 + 421 = 0. What is the remainder when f is divided by z(7)?
17
Suppose 0 = -2*t + 3*f + 2*f - 135, -f = 4*t + 237. Let n = -13 - t. Suppose -25 = -o - 13. Calculate the remainder when n is divided by o.
11
Suppose 141 = 3*j + 4*i, 19 = 4*i - 5. What is the remainder when 69 is divided by j?
30
What is the remainder when (-56448)/(-135) + 3*4/(-90) is divided by 106?
100
Let l be (2/(20/(-6)))/((-2)/10). Suppose s = 5*j + 30, -21 = -5*s + l*j + 41. What is the remainder when (-1)/(-4) + (-1550)/(-40) is divided by s?
9
Suppose b - 5*w - 24 = 19, 2*b - 62 = 4*w. Suppose 181*h - 120*h + 5907 = 94*h. What is the remainder when h is divided by b?
18
Suppose -53*u - 50*u - 36*u = -38503. What is the remainder when 8857 is divided by u?
270
Let w be 10*((-65)/25 - -3). Let k be (w/6)/(2/9). Suppose -26 = -2*r - k*r + 2*q, 0 = -r - 3*q - 5. What is the remainder when 5 is divided by r?
1
Calculate the remainder when 367 is divided by (0 + -15)*(-36)/27.
7
Let j(b) be the second derivative of b**4/12 - 2*b**3 + 5*b**2/2 - 41*b. Let k be j(12). Suppose 70 = k*r - 0*r. What is the remainder when 137 is divided by r?
11
What is the remainder when (-10740)/(-48)*5/((-150)/(-48)) is divided by 48?
22
Suppose 5*q - 128 = 4*p, 10*q + 43 = 11*q + 5*p. Calculate the remainder when q is divided by 11.
6
Let k(m) = m**3 + 12*m**2 - 42*m - 473. What is the remainder when k(-10) is divided by 58?
31
Suppose 5*v = -y + 254, 0 = 2*y - 3 - 5. Suppose -15 = -m + 11. Let u = -12 + m. What is the remainder when v is divided by u?
8
Let u(n) = 2*n**2 - n - 41. Let b be u(5). Suppose -180 = -b*z - 5*s, 3*z - s = -3*s + 142. What is the remainder when z is divided by 19?
12
Let k(l) = -3 + 0 - l - 1 + 2*l**2 - 2. Let a be k(-2). Suppose -28 = a*b - 92. Calculate the remainder when 31 is divided by b.
15
Suppose -8*y - 3*z = -4*y - 227, 133 = 2*y - 5*z. Suppose 7 = j - 4. Suppose -50 = 6*l - j*l. Calculate the remainder when y is divided by l.
9
Calculate the remainder when (((-33)/4)/(-11))/(2/376) is divided by 57/38*8/3 - -5.
6
Suppose 5*w = 6*w - 4. Suppose -w*p + 359 = -753. Suppose 5*r = 347 + p. Calculate the remainder when r is divided by 21.
20
Let k = 203 - 163. Suppose 2*b + 4*z = k, 4*z - 30 = -4*b + 50. Calculate the remainder when 56 is divided by b.
16
Let a = 409 + -406. Suppose -v + a*m = -6, v - 5*m = -4*v + 40. What is the remainder when 29 is divided by v?
2
Let y(z) = 2*z**2 + 3*z - 18. Let f(n) = n**3 - 13*n**2 + 4*n - 60. Let t be f(13). Calculate the remainder when y(t) is divided by 18.
14
Suppose 319 + 17 = 7*d. Suppose f - 2*l = d, -6*f + 3*l = -f - 268. Calculate the remainder when 166 is divided by f.
54
Suppose d - 28 = -0*d. Suppose -413 + 51 = -2*q + 84. What is the remainder when q is divided by d?
27
Suppose 5*a = 3*a + 88. Suppose -4*v + 162 = 2*x, 5*x - 260 = -5*v + 160. Let y = x - a. What is the remainder when y is divided by 11?
10
Let p(g) = g**2 - 114*g + 2041. Suppose 2*y - 59 = 61. Suppose -4*z = -3*r - r - y, 0 = -4*z - 4*r + 20. Calculate the remainder when p(22) is divided by z.
7
Suppose 891*f - 192 = 887*f + 2*b, 141 = 3*f - 2*b. Calculate the remainder when 558 is divided by f.
48
Let n = 1231 - 1139. What is the remainder when n is divided by 26?
14
Suppose 4*g - 4 = 8. Suppose 4*j + 79*c = 84*c + 62, -47 = j + 5*c. Calculate the | {
"pile_set_name": "DM Mathematics"
} |
on divisor of z and d?
37
Suppose k - 31 = -3*w, -2*k - 41 = -3*k - 5*w. Suppose -12*o = -360*o - 159*o + 77064. What is the highest common divisor of o and k?
8
Suppose 11*w + 10 = -78. Let b(a) = a**2 - 8*a - 48. Let i be b(w). Calculate the highest common divisor of i and 60.
20
Suppose -3*o - 5*u - 13 = -4*o, 3*o - 90 = -2*u. Let z = o + 14. Calculate the highest common divisor of 18 and z.
6
Let j(z) = -366*z**3 - 6*z**2 - 13*z - 8. Let p be j(-1). What is the highest common factor of 5 and p?
5
Let k(u) = 2*u - 4*u + 4*u + 1 + 13. Let q be k(-11). Let x be (-9)/(108/(-64))*(-18)/q. What is the greatest common divisor of 60 and x?
12
Let r be (31 + -34)/(2/(-14)). Calculate the highest common factor of r and 4410.
21
Let x(l) = 27*l + 464. Let k be x(-12). Calculate the greatest common divisor of k and 1155.
35
Let h(y) = 6*y**2 - 9*y - 70. Let w be h(7). What is the highest common factor of 207 and w?
23
Let j be 189/(-441)*28/(-6). Suppose -5*x + j*n + 136 = 0, -x + n = -2 - 24. Calculate the greatest common divisor of 602 and x.
14
Let y = -9257 + 10473. What is the greatest common divisor of 1088 and y?
64
Suppose -54 = 6*z + 3*z. Let m be (82/z)/((-2)/6). Let v = 45 - m. Calculate the greatest common factor of v and 4.
4
Let o be 246/8 - (-5)/4. Let g be 5 + o/(-40) + 258/10. What is the highest common factor of g and 30?
30
Let i be 124/32 + 20/160. Suppose -v + 83 = -b, -4*v + 2*b + 324 = -0*b. Suppose 299 = 5*s + v. What is the highest common factor of s and i?
4
Let i(q) = -7*q + 59. Let z(p) = 14*p - 118. Let f(m) = -5*i(m) - 2*z(m). Let v be f(14). What is the greatest common divisor of v and 3?
3
Suppose 0 = -80*f + 74*f + 662 - 182. Let u(g) = g**3 - 4*g**2 - 4*g + 5. Let i be u(5). What is the greatest common divisor of f and i?
10
Suppose -51*r + 61 + 8507 = 0. Calculate the highest common divisor of r and 357.
21
Let r be (2 - -1)*(-1)/((-3)/(-30)). Let q be (1 + (-345)/r)*(1 - -1). What is the highest common factor of q and 50?
25
Suppose 1826*y = 1885*y - 206972. What is the greatest common divisor of 4 and y?
4
Let h(f) = -f**2 - f. Let d be h(2). Let m = 50 + d. Let b = -36459 - -36467. What is the highest common factor of b and m?
4
Let t = 15199 - 12479. What is the highest common divisor of 30 and t?
10
Suppose 11*h = 16*h, 4*h - 5 = -g. Suppose -3*s = -3*q, g + 15 = s + 3*q. Calculate the greatest common factor of 65 and s.
5
Suppose -16*w + 5640 + 12536 = 0. Let q = -672 + w. What is the greatest common factor of 29 and q?
29
Let s(x) = x**2 - 14. Let t be s(4). Suppose t*k - z - 51 = 3*k, -90 = 2*k - 2*z. Let f = -33 - k. Calculate the greatest common divisor of f and 3.
3
Let g be -7*(92/28 + -4). Suppose 4*a + y = 142 + 145, -g*a + 358 = 2*y. What is the highest common factor of a and 9?
9
Let d(k) = k**3 + k**2 - k + 19. Let g = 23 - 23. Let q be d(g). Let s = 569 + -531. What is the highest common divisor of s and q?
19
Let x = 2 - -80. Let t(z) = -40*z + 8. Let g be t(-8). Calculate the highest common factor of x and g.
82
Let j be 6/(-2)*11/(-11). Let u = 45 + -31. Suppose -u*l = -l - 156. What is the highest common factor of j and l?
3
Suppose -3*j - 128 = -i, -2*i + 5*i + 3*j = 372. Let f be (8/3)/((-1)/(-3)). Let o be (-1792)/(-36) - f/(-36). What is the highest common divisor of i and o?
25
Let c(j) = 116*j - 3311. Let x be c(33). What is the greatest common factor of x and 3243?
47
Suppose -20*n + m - 188 = -24*n, -2*n = 2*m - 88. Calculate the highest common factor of n and 136.
8
Let v = -12177 + 17459. Calculate the greatest common factor of 2224 and v.
278
Let x = -2 - -3. Let b be (285/21 + -11)/(3/14*1). What is the highest common factor of x and b?
1
Let b = 38926 + -38707. Calculate the greatest common divisor of b and 174.
3
Let l(i) = -7*i**3 - 9*i**2 + 3*i + 4. Let o be l(-2). What is the highest common divisor of 1278 and o?
18
Suppose u = 3*a - 1646 - 424, -2*a = 5*u - 1363. What is the greatest common factor of 13 and a?
13
Let u be 5 - ((-32331)/15 + 112/80). Calculate the greatest common divisor of u and 17.
17
Suppose -m + 9*m = -0*m. Let l be 3*5 + m*(-2)/(-4). Let k be 6/l - 1 - 48/(-5). Calculate the greatest common divisor of 45 and k.
9
Let z = -13 + 25. Let n(x) = 3140*x - x**2 - 14 - 3123*x - 1. Let v be n(z). Calculate the highest common divisor of 315 and v.
45
Let i = 171 + -84. Suppose -2*n = 5*d - 125, -4*d = 7*n - 8*n - i. What is the highest common factor of 575 and d?
23
Suppose -4 - 4 = -2*g. Let s(a) = 6*a**2 - 4*a + 10. Let n be s(g). Let c = 86 - 76. What is the greatest common factor of n and c?
10
Suppose 4*j = -5*g + 6652, -402*j + 4*g + 3274 = -400*j. Calculate the greatest common factor of 513 and j.
57
Let g be (2 - ((-472)/(-16) + -9))*(-694 - 4). What is the greatest common factor of g and 37?
37
Let b = -26 - -27. Let t be (b + 20)*(-2 + (2 - 1)). Let n = 24 - t. What is the highest common factor of n and 30?
15
Let v(m) = -m**2 - m + 33. Let x be v(-6). Suppose 0 = -3*j - 4*o + 128, -x*j + 2*o = -6*j + 130. Calculate the highest common factor of j and 484.
44
Let g be (-64630)/(-92)*14/5. Suppose 11*p = 1443 + g. What is the highest common divisor of 62 and p?
62
Suppose 58*z - 566 = -225*z. Let j = -19 - -38. Calculate the greatest common factor of z and j.
1
Let l(p) = -p**2 + 77. Let b be l(0). Suppose 2*w - x + 550 = -910, w - 5*x + 712 = 0. Let r = w + 739. Calculate the highest common divisor of r and b.
7
Let k be (2 - 1)*(50 - -10). What is the greatest common divisor of 3090 and k?
30
Let z = -1 - -12. Let h be -4*((-581)/(-4))/(-7). Let q = 105 - h. What is the highest common divisor of z and q?
11
Let l = -15498 + 15828. Suppose -237 = -3*h + 123. Calculate the highest common divisor of l and h.
30
Let a = -918 - -312. Let m = -549 - a. What is the greatest common factor of m and 19?
19
Let c(q) be the first derivative of 2*q + 20 + 1/3*q**3 + q**2 - 11/2*q**4. Let z be c(-1). Calculate the highest common divisor of z and 161.
23
Let w(u) = 4*u**3 - 3*u**2 + 7*u - 3. Let g be w(3). Let y = -67 + g. Calculate the highest common divisor of y and 96.
32
Suppose 0 = 16*o - 9638 + 9062. What is the highest common factor of 1602 and o?
18
Let w(a) = a**3 + 23*a**2 + 13*a + 84. Let l be w(-22). Let s = 374 + l. Calculate the highest common divisor of s and 16.
16
Suppose -3*q = -4*r - 19 + 4, 3*r = 9. Suppose 0 = q*z + 12 - 3. Let m be ((-9)/6)/(z/4). What is the greatest common divisor of m and 6?
6
Let i be 1*25 - (1 - 1). Suppose -a - 4*g + 9 = 0, -2*a + 16 = -a - 3*g. Let s be (-2 - a)*(-20)/i. What is the highest common factor of s and 48?
12
Suppose 0 = g - 22 - 146. Let b be ((-42)/35)/((5/100)/(-1)). What is the highest common divisor of b and g?
24
Suppose 0 = -4*o - 3*a + 70 - 22, o + a = 9. Let i be (-1)/3 + (-100)/(-3). Suppose 0 = -2*s - i + 89. Calculate the greatest common factor of o and s.
7
Suppose 2*t = 11*t - 3*t. Suppose -37*v + 43*v - 90 = t. What is the highest common factor of 165 and v?
15
Suppose 4*t + l - 521 = 0, l - 1 = -4. Let h = t - 102. Suppose -2*f - j - h = -3*f, -4*j = f - 24. Calculate the highest common divisor of f and 196.
28
Let s(f) = f**2 - 47*f + 18. Let x be s(47). Suppose -v = q - 43, 0 = -2*q - 7 - 3. Calculate the highest common divisor of x and v.
6
Let n be ((-9)/(-9))/((-1)/(-4)). Let r be 6/n - (-30)/(-20). Let v be (r + -24)*8/(-16). What is the highest common divisor of v and 4?
4
Suppose 0 = -34*j + 24*j + 200. Suppose 240 = j*q + 4*q. Let n = -54 + 94. Calculate the highest common divisor of n and q.
10
Suppose b - d - 246 = 2*d, -4*b - 5*d = -950. Suppose s = 2*x - 58, 4*s = -5*x + 84 + 74. What is the highest common divisor of x and b?
30
Let l = -37361 + 37916. What is the greatest common divisor of l and 720?
15
Let v = 25803 - 19099. What is the greatest common divisor of v and 48?
16
Let s be (-45)/(-6)*(-43)/((-1935)/972). What is the highest common divisor of 540 and s?
54
Let f(o) = -o**3 - o**2 + o + 92. Let r(t) = t**2 + 9*t - 70. Let g be r(-14). Let n be f(g). What is the greatest common divisor of n and 322?
46
Let z(p) be the second derivative of p**3/2 + p**2/2 + 30*p. Let b be z(6). Let j = 110 + 23. What is the highest common factor of j and b?
19
Suppose 3*z + 198 = 5*g, 186 | {
"pile_set_name": "DM Mathematics"
} |
*4/3 + 3*k**3 - 44*k**2 - 4832*k. What is the second derivative of p(o) wrt o?
-30*o + 400
Let n(h) be the first derivative of 7*h**3/3 + 131*h**2 + 1043*h + 2353. Find the first derivative of n(c) wrt c.
14*c + 262
Let s(r) = r**4 + r**3 + r**2. Let y(p) = 604*p**5 - 3*p**4 - 3*p**3 - 3*p**2 + p - 373. Let c(n) = -3*s(n) - y(n). Find the second derivative of c(u) wrt u.
-12080*u**3
Suppose 3*v + w = 6*w + 31, 12 = v - 2*w. Find the third derivative of -6 + 8*r + 5*r**2 - 54*r**5 + 6 - 6*r**v wrt r.
-3240*r**2
Differentiate -67*w**3 + 67*w**3 + 70*w**4 - 1398 + 1763 + 8*w + 1767 wrt w.
280*w**3 + 8
Suppose 0 = -5*l + f + 13, -3*l + 4*f + 3 = f. What is the first derivative of -22*o**3 - 89 - 12*o**3 - 91*o**l wrt o?
-375*o**2
Let r(l) = -3111*l**2 + 363*l - 5. Let w(k) = -3111*k**2 + 367*k - 6. Let d(p) = 6*r(p) - 5*w(p). Find the second derivative of d(y) wrt y.
-6222
What is the third derivative of -17 + 154*f**3 + 21*f**3 + 394*f**3 + 3 - 62*f**2 + 64*f**2 + f**4 wrt f?
24*f + 3414
Find the third derivative of -13*t**3 - 8 - 288*t**4 - 13*t**3 + 2*t**2 - 3*t**3 + 340*t**4 - 8*t wrt t.
1248*t - 174
What is the second derivative of 3258223*n**2 + 3 - 3258223*n**2 + 16 + 115*n - 7250*n**4 wrt n?
-87000*n**2
Let i(j) be the second derivative of 45/2*j**3 - j - 16 + 3/10*j**6 - 1/20*j**5 + 1/6*j**4 + 0*j**2. Find the third derivative of i(h) wrt h.
216*h - 6
Find the second derivative of -1666*g - 323*g**2 + 558*g - 2268*g + 3176*g**2 wrt g.
5706
Let q(j) = j**2 + 2. Let x be q(-2). Differentiate x*w + w + 28 - w + w - w**2 wrt w.
-2*w + 7
What is the derivative of 1211 - 1301*q**3 + 1389*q**3 - 235 - 255 + 1135 wrt q?
264*q**2
Let r(f) = f - 15. Let w be r(15). Suppose -5*h + 11 + 19 = w. What is the third derivative of 3*x**6 - 13*x**2 - 30*x**h - 14*x**2 + x**2 wrt x?
-3240*x**3
Let a = -19 + 23. Suppose -64 = -a*i + 4. Find the second derivative of 26*f**4 - i*f + 2 - 3*f**4 - 2 wrt f.
276*f**2
Let v(y) be the second derivative of -1/4*y**5 - 1/6*y**3 + 1/15*y**6 - 29/12*y**4 + 8*y + 5 + 0*y**2. What is the third derivative of v(x) wrt x?
48*x - 30
Let s be 28/20 + 9/15. Find the third derivative of -7*h**2 + 55*h**6 + 5*h**s - 9*h**6 - 3*h**5 + 7 + 27*h**6 + 5*h**5 wrt h.
8760*h**3 + 120*h**2
What is the third derivative of 1650050*i - 2*i**6 - 1650050*i - i**6 + 1993*i**2 - 357*i**3 wrt i?
-360*i**3 - 2142
Let q = 622 + -611. What is the second derivative of 35*d + 2 + 19*d**2 - 6*d**3 + q*d**2 - 12*d**2 - 12*d**2 wrt d?
-36*d + 12
Let j(f) = 167*f**4 - f**3 - 682. Let n(l) = 2*l**4 + l**3. Let u(r) = j(r) + n(r). What is the derivative of u(o) wrt o?
676*o**3
Let b(x) be the third derivative of 3379*x**5/60 - 5761*x**4/24 - 43*x**2 - 25. What is the second derivative of b(z) wrt z?
6758
Find the first derivative of -6893 + 101 + 3433 - 6846 + 3469*t**2 wrt t.
6938*t
Let c be 10 + 1 + -5 + 2. Let r be c*(1 + -1 - -2). Find the first derivative of -14*j**3 + r + 4*j**3 + 7*j**2 - 7*j**2 wrt j.
-30*j**2
Suppose -h + 11*h = 220. Suppose -5*q - 6*q + h = 0. Find the third derivative of 33*p**3 - 28*p**3 - 4*p**q + 26*p**3 wrt p.
186
Let i(f) be the second derivative of -52*f + 0*f**4 + 0 + 53/2*f**2 + 0*f**3 - 3/20*f**5. What is the derivative of i(z) wrt z?
-9*z**2
Let v(o) = 3275*o**4 + 15*o**3 + 5*o**2 - 3773. Let b(p) = 1637*p**4 + 9*p**3 + 3*p**2 - 1886. Let d(t) = 5*b(t) - 3*v(t). Differentiate d(g) with respect to g.
-6560*g**3
What is the first derivative of 4235*p**2 - 201*p - 3612 + 101*p - 4258 + 99*p wrt p?
8470*p - 1
Let f = -11 - -5. Let g(i) = -145*i**2 + 65. Let l(n) = 72*n**2 - 34. Let v(c) = f*g(c) - 13*l(c). Differentiate v(p) wrt p.
-132*p
Suppose -7*y = -2*y + 20*y. Let k(m) be the first derivative of -14/5*m**5 - 17/3*m**3 + 29 + 0*m + y*m**4 + 0*m**2. Find the third derivative of k(x) wrt x.
-336*x
Let a(v) be the second derivative of 0*v**5 + 0*v**2 - 11/2*v**3 - 1/30*v**6 - v - 20 + 1/6*v**4. Find the second derivative of a(w) wrt w.
-12*w**2 + 4
Find the first derivative of 1462 + 1283 + 1432 - 520 - 123*d**2 - 247*d + 125*d**2 wrt d.
4*d - 247
Let j(c) be the second derivative of 2*c**6/15 + 157*c**5/10 + 107*c**3/6 - 9*c**2/2 - 4843*c. Find the second derivative of j(a) wrt a.
48*a**2 + 1884*a
Find the second derivative of 908*j + 1768*j**2 - 905*j + 3455*j**2 + 372 wrt j.
10446
Suppose 415 = 5*l + 5*t, -4 - 12 = -4*t. What is the second derivative of -6*i**2 - 44*i + l*i - 2*i**3 + i**3 wrt i?
-6*i - 12
Let s = 115 + -104. Find the first derivative of 25*f - 21*f + s + 8 - 82*f wrt f.
-78
Let y be (8/(112/(-7)))/(2/(-24)). What is the second derivative of 0*f**4 - 277*f + y*f**4 + f**3 + 8052*f**2 - 8052*f**2 wrt f?
72*f**2 + 6*f
Let q(v) be the first derivative of 453*v**3 - 118*v + 728. What is the first derivative of q(y) wrt y?
2718*y
Let n(u) = -u**3 + 4*u**2 - 6*u + 8. Let q be n(2). Find the second derivative of -154 + q*w**3 + 154 - 83*w - 47*w**3 wrt w.
-258*w
What is the third derivative of 145 + 482*r**3 + 327*r**3 + 1087*r**3 - 23 - 2*r**2 - 143*r**3 wrt r?
10518
Suppose 0 = -126*i + 124*i + 122. Find the second derivative of -9050*f**2 + 26*f**3 + 9050*f**2 + i*f - 1 wrt f.
156*f
Let h(u) = -11547*u + 10152. Let k(x) = 11575*x - 10152. Let n(l) = 9*h(l) + 8*k(l). Differentiate n(g) wrt g.
-11323
Let y = -284 - -291. Let v = 5 + 0. What is the third derivative of -4*q**2 + 45*q**v + y*q**2 - 66*q**5 wrt q?
-1260*q**2
Let n(i) = -4814*i + 6072. Let d(v) = 964*v - 1214. Let u(a) = 16*d(a) + 3*n(a). Differentiate u(r) with respect to r.
982
Let s(p) = 2*p**2 + 17*p - 143. Let r be (-1)/((2/2 - 3)/2). Let n(f) = 2*f. Let u(b) = r*s(b) - 4*n(b). Differentiate u(t) wrt t.
4*t + 9
Let p(d) be the third derivative of 0*d - 1/6*d**3 - 7 - 1/40*d**6 + 2*d**2 + 19/60*d**5 + 1/6*d**4. What is the second derivative of p(q) wrt q?
-18*q + 38
Let x(p) be the third derivative of -3365*p**9/168 + 19*p**5/4 + p**4/12 - p**3/3 - 4031*p**2. Find the third derivative of x(r) wrt r.
-1211400*r**3
Suppose -2*k = -7 - 3. Suppose -4*o - k = -29. What is the first derivative of -o*u + 3*u - 5 - 9*u wrt u?
-12
Find the third derivative of 554*l**3 - 383*l**3 - 3 - 83*l**2 + 1017*l**3 wrt l.
7128
Let r(v) be the third derivative of -7/60*v**5 + 0 + 92*v**2 - 49/6*v**4 + 0*v + 0*v**3. Find the second derivative of r(f) wrt f.
-14
Let k(d) be the third derivative of d**9/168 + 5*d**8/56 + d**7/30 - 432*d**5/5 + 2*d**2 + 403. Find the third derivative of k(g) wrt g.
360*g**3 + 1800*g**2 + 168*g
Suppose 19*a = 12*a + 28. Differentiate -75*g**3 + 50*g**4 + 43*g**4 + a + 19 + 76*g**3 with respect to g.
372*g**3 + 3*g**2
Let y(k) = 4*k - 2. Let a = 98 + -94. Let h be y(a). What is the first derivative of 15 - h*f**3 + 14*f**2 - 29*f**2 + 15*f**2 wrt f?
-42*f**2
Find the third derivative of -85*h**5 - 80 - 113 + 68*h**5 + 12*h**3 - 2*h**2 - 64*h**3 + 0*h**2 wrt h.
-1020*h**2 - 312
Differentiate 5312 - b + 220558*b**3 + b - 220566*b**3 + 262*b**4 wrt b.
1048*b**3 - 24*b**2
Let l be 183/(-27) - 10/45. Let o be l/((-63)/160) + (-8)/(-36). Find the first derivative of -5 - o - 9*i - 2*i wrt i.
-11
Let h be (-1 - 33/9)*-51. Let d = h + -118. Find the third derivative of 239*n**4 - d*n**4 - 117*n**4 - 18*n**2 wrt n.
48*n
Let h(p) be the second derivative of 634*p**7/21 - 115*p**4/4 - 2*p**2 + 2655*p. What is the third derivative of h(d) wrt d?
76080*d**2
Let p(k) = -2*k**2 - k. Let o = 245 - 248. Let i(m) = 93*m**2 + 3*m - 122. Let d(c) = o*p(c) - i(c). What is the derivative of d(f) wrt f?
-174*f
Let i(n) = -68*n**2 + 69*n - 909. Let b(a) = 17*a**2 - 17*a + 227. Let o(y) = -9*b(y) - 2*i(y). Differentiate o(z) wrt z.
-34*z + 15
Let m(z) be the first derivative of -1639*z**3/3 + 2672*z**2 + 1199. What is the second derivative of m(y) wrt y?
-3278
Let v be -30*(5 + (-115)/25). Let u be 2 + 22/26 - v/78. Find the first derivative of -36*z - 21 + 36*z - 4 + 2*z**u wrt z.
6*z**2
What is the third derivative of -3101*y - 340*y**2 - 3125*y - y**4 + 6226*y - 31*y**3 wrt y?
-24*y - 186
Suppose 3*i - i + u - 2 = 0, -2*u - 5 = i. Differentiate -24 - 14 + 34*n**i + 6 wrt n.
102*n**2
Let n(o) = -o**3 - 5*o**2 - o - 1. Let k(q) = -275*q**4 + 5*q**3 + 25*q**2 + 5*q - 515. Let s(u) = k(u) + 5*n(u). Differentiate s(m) with respect to m.
-1100*m**3
Let g(j) | {
"pile_set_name": "DM Mathematics"
} |
third derivative of -2875847*p**6 - p**2 + 167*p - 1024?
-345101640*p**3
Find the third derivative of f*t**4 + 6*f*t**3 - 538*f*t**2 - 4*f*t - 472*t**5 + t**3 + 4 wrt t.
24*f*t + 36*f - 28320*t**2 + 6
Differentiate -410*b**2 - 304*b + 454870.
-820*b - 304
What is the third derivative of 2*n**4 - 1862335*n**3 - 10*n**2 + 102716*n?
48*n - 11174010
What is the derivative of 140768*j + 182792?
140768
What is the second derivative of -4*g**5 + 243*g**4 + 17*g**3 + 3*g + 607?
-80*g**3 + 2916*g**2 + 102*g
Differentiate -1623482*j**4 + 883654 wrt j.
-6493928*j**3
Find the second derivative of 206*a**3*j - 2*a**3 - 2*a**2*j - 84*a**2 - 2*a*j - 6122*a - 7*j wrt a.
1236*a*j - 12*a - 4*j - 168
What is the derivative of -347*h**3*i*r**3 + 65*h**3*i*r**2 + 3*h**3*r**3 + 2*h**3*r**2 - 1377*h**3*r - 6*h**2*r wrt i?
-347*h**3*r**3 + 65*h**3*r**2
What is the third derivative of 4847*g**3*o**2 - 162*g**3 - 39861*g**2*o**2 + 7*g*o**2 wrt g?
29082*o**2 - 972
What is the derivative of 14804*c**3 + 25*c**2 + 2*c - 4447838 wrt c?
44412*c**2 + 50*c + 2
What is the second derivative of 27906*y**2 - 3*y - 3745 wrt y?
55812
Find the second derivative of 81698*b*v**2 + 9*b*v - v - 555 wrt v.
163396*b
What is the second derivative of -3065*s*z**3 - 124*s*z - 59*z**4 + 648*z wrt z?
-18390*s*z - 708*z**2
What is the second derivative of 2*l**5 - 103216*l**4 - 41667*l + 19 wrt l?
40*l**3 - 1238592*l**2
Find the second derivative of -284*o**2*p**2 - 4*o**2*p + 10*o**2*y**3 - 4*o*p**2*y**3 - 2*o*p**2*y**2 + 22*o*p**2 - 2*p**2*y**3 - 75*y**3 wrt o.
-568*p**2 - 8*p + 20*y**3
Differentiate -272200*m**2 + 10237.
-544400*m
What is the third derivative of 656794*v**3 + 686583*v**2?
3940764
What is the third derivative of 44774*t*x**4 - 102*t*x**2 - 21*t - x**3 - 2*x**2 + 2*x wrt x?
1074576*t*x - 6
Find the first derivative of 14551*l - 17856.
14551
What is the third derivative of 2*c**3*d**5 - 24*c**3*d**2 + 2985*c*d**5 - 637*d**2 wrt d?
120*c**3*d**2 + 179100*c*d**2
Find the second derivative of 964*b**3*p**2 - 336*b**3*p + 4*b*p**2 + b*p + 37*b + 11*p**2 wrt b.
5784*b*p**2 - 2016*b*p
Find the first derivative of 88455*v**3 + 62993.
265365*v**2
What is the second derivative of 6*p**4 + 42*p**2*q - 11551*p + q wrt p?
72*p**2 + 84*q
What is the third derivative of -62385*o**3 - 3889*o**2 - 79*o wrt o?
-374310
Find the first derivative of -8*b*u**3 + 161*b*u**2 - 55*b - 320*u**3 - 51*u**2 + u wrt b.
-8*u**3 + 161*u**2 - 55
Find the second derivative of 38904*l**3 - 9*l**2 - 181640*l wrt l.
233424*l - 18
What is the second derivative of -18*g**3*i*l - 633*g**3 + g**2 + g*i*l - g*i - 2*g*l + 3*l - 125 wrt g?
-108*g*i*l - 3798*g + 2
Find the first derivative of -5272408*q + 402572.
-5272408
What is the second derivative of 6401*j**3 + 2*j**2 + 93*j - 13?
38406*j + 4
Find the second derivative of -1058*o**3*q**2 + 45000*o**3 - 3*o**2*q**2 - 4*o*q - 7*q**2 wrt q.
-2116*o**3 - 6*o**2 - 14
What is the second derivative of 1086*x**4 - 1957*x**2 - 3132541*x wrt x?
13032*x**2 - 3914
Find the second derivative of -63*u**4 + 883*u**3 - 44509*u wrt u.
-756*u**2 + 5298*u
Find the first derivative of h**2 - 1681*h - 7307.
2*h - 1681
Find the third derivative of 72295*f**4 + 2*f**2 - 160*f + 1 wrt f.
1735080*f
What is the derivative of 39*o**4 - 1432*o**2 - 300433 wrt o?
156*o**3 - 2864*o
What is the derivative of -33*h**2 - 3*h*m - 393*h + 190326*m wrt h?
-66*h - 3*m - 393
Differentiate -23246*t**2*w**2 + w**2 + w - 4537 wrt t.
-46492*t*w**2
Find the third derivative of -26074*f**3 - 5217*f**2 + f wrt f.
-156444
What is the third derivative of 188*q**5 - 4547*q**3 + 1888*q**2 - 53*q wrt q?
11280*q**2 - 27282
Find the second derivative of 25*g**5 + 71*g**3 + 4*g**2 + 135854*g.
500*g**3 + 426*g + 8
Find the second derivative of -31572*k**4 + 579*k + 6.
-378864*k**2
What is the second derivative of 2102*i**4 + 164*i**2 + 229017*i wrt i?
25224*i**2 + 328
Find the second derivative of 206158*v**4 - 2*v**2 - 13993*v - 1 wrt v.
2473896*v**2 - 4
Find the third derivative of 34*f**3*m**3 + 26*f**3*m**2 + f**3*m + 3*f**2*m**2 + 303*f**2*m + 3491*m**4 + m wrt m.
204*f**3 + 83784*m
What is the derivative of -658*a*z**3 - 25*a*z - 495*a - 13 wrt z?
-1974*a*z**2 - 25*a
Differentiate -6*g**2*o + g**2 + 311*g*o - g + 4*o - 6978 with respect to g.
-12*g*o + 2*g + 311*o - 1
What is the third derivative of 25665*d**3*v**4 - 2*d**3*v - 76*d**3 + 20*d**2*v**2 + d*v**5 - 12*v wrt v?
615960*d**3*v + 60*d*v**2
Differentiate 5572*r + 152144 wrt r.
5572
Differentiate -2*t**3 + 34343*t**2 - 5*t + 1169679.
-6*t**2 + 68686*t - 5
Find the second derivative of 1227302*q**2*x + 9*q*x - 2*q + 707*x - 12 wrt q.
2454604*x
What is the third derivative of 1472863*v**3*y + 2*v**3 + 3*v**2*y - 484165*v*y wrt v?
8837178*y + 12
What is the second derivative of 3*j**5*r - 11343*j**4*r + 15*j - 353*r - 3 wrt j?
60*j**3*r - 136116*j**2*r
What is the second derivative of 2333130*x**2 - 2520959*x?
4666260
What is the third derivative of 98*a**2*x**5 - 7407*a**2*x**4 - 192*a**2*x**2 + 368*a*x**2 + a wrt x?
5880*a**2*x**2 - 177768*a**2*x
What is the third derivative of 261*z**4 - 4353*z**3 - 2982293*z**2?
6264*z - 26118
Find the second derivative of -2*d**2*j**2*y**2 + 17058*d**2*j - 2*d*j*y + j**2*y**2 + 9129*j**2 - j*y**2 wrt j.
-4*d**2*y**2 + 2*y**2 + 18258
What is the derivative of -117930*q + 109183?
-117930
What is the third derivative of -12409*m**4 - 20*m**3 - m**2 - 29*m - 541?
-297816*m - 120
What is the third derivative of -20*d**4*n - 296*d**4 - 2*d**3*n - d**2*n - 4*d**2 - 8645*n wrt d?
-480*d*n - 7104*d - 12*n
Differentiate -t**2 - 24860*t + 176423 with respect to t.
-2*t - 24860
Find the second derivative of 1538*d**3*i**2 - 420*d**3 + 3614*d*i**2 + 3*d*i - 12*d - 2*i - 1 wrt d.
9228*d*i**2 - 2520*d
Find the third derivative of 46418*l**3 + 33959*l**2 - 8*l wrt l.
278508
What is the third derivative of 2827115*s*t**3 - s*t**2 - 9137*s - t**2 wrt t?
16962690*s
Find the third derivative of -20105*k**2*w**3 - 3*k**2 - 3*k*w**3 + 3994*k*w**2 wrt w.
-120630*k**2 - 18*k
What is the second derivative of 55*l**3 + 145*l**2 - 12288*l?
330*l + 290
What is the derivative of -4996*y**2 + 45372?
-9992*y
What is the second derivative of 11*i**5*r + 3346*i**4*r + 3*i*r - 85*r + 3 wrt i?
220*i**3*r + 40152*i**2*r
What is the derivative of -45036*c*u - 22994*c wrt u?
-45036*c
Find the third derivative of 14641*x**3*y + 5*x**3 + 936*x**2*y + 13*x**2 + x*y - 1 wrt x.
87846*y + 30
Find the second derivative of -29*v**4*z + 921*v**4 - 32*v + 526*z wrt v.
-348*v**2*z + 11052*v**2
Find the second derivative of 63*h**5 + 528*h**2 - 22*h + 176 wrt h.
1260*h**3 + 1056
Find the third derivative of 2063561*w**3 + 3*w**2 + w - 1046.
12381366
Find the first derivative of -14711*p**4 + 44929.
-58844*p**3
What is the derivative of -3*m**2 - 1509*m + 29553?
-6*m - 1509
Find the third derivative of -7*n**6 - 39*n**4 + 47*n**3 - n**2 - 32206*n wrt n.
-840*n**3 - 936*n + 282
What is the second derivative of -9*b**5*d + 702*b**4*d - b*d + 38246*b wrt b?
-180*b**3*d + 8424*b**2*d
Differentiate 47*o*t**2 - 94*o*t - 2*o - 58506*t**2 - t wrt o.
47*t**2 - 94*t - 2
Differentiate -3609*a**3 + 32*a - 1650559.
-10827*a**2 + 32
What is the first derivative of -95804*m*s**2 + 3*s**2 - s + 821 wrt m?
-95804*s**2
Differentiate 46046*t**4 - 63740 with respect to t.
184184*t**3
What is the second derivative of -5*a**5*t**3 - 336*a**2*t**3 + a**2 + 10*a*t**3 - 519*a*t wrt a?
-100*a**3*t**3 - 672*t**3 + 2
What is the derivative of -n**3 + 3936*n**2 - 2*n + 247311?
-3*n**2 + 7872*n - 2
What is the third derivative of 5*a**3*c**2*r - 2027*a**3 + 2*a**2*c**2 - a**2*r + 2*a**2 + 202*c**2*r wrt a?
30*c**2*r - 12162
Find the second derivative of -4*f**5 + f**4 + 879*f**2 + 2705*f - 7 wrt f.
-80*f**3 + 12*f**2 + 1758
Find the third derivative of -413101*h**4 - h**2 - 257*h - 630 wrt h.
-9914424*h
What is the derivative of -71100*g**3*k**2 - g**3*k - 588578*g**3 wrt k?
-142200*g**3*k - g**3
What is the third derivative of -455308*a**4 - 364760*a**2 wrt a?
-10927392*a
What is the third derivative of -19*w**3*y**4 - 4598*w**3 - 415*w*y**6 - w + 2*y**2 wrt y?
-456*w**3*y - 49800*w*y**3
What is the third derivative of 9614*h*x**4 - 2*h - 7*x**3 + 75098*x**2 wrt x?
230736*h*x - 42
What is the | {
"pile_set_name": "DM Mathematics"
} |
- r. Round l to 2 decimal places.
0.08
Suppose 1 = 2*o + 4*a - 3, -5*a = -5. Suppose o*b + b + 25699999 = -p, 5*p + 128500001 = b. Round p to the nearest one million.
-26000000
Let q = 6 + -9. Let k = q - -2.976. Let a = -0.182 + k. Round a to 2 dps.
-0.21
Let l = -4.5 + 63.5. Let f = 59.000244 - l. Round f to 4 decimal places.
0.0002
Let x be -1 - (-4 + (0 - -192)). Let g = 12 + x. Round g to the nearest 10.
-180
Let r be ((-2 - 1)*-12217)/(9/(-12)). Let j = -26368 - r. Round j to the nearest 10000.
20000
Let u = -36.29 + 22. What is u rounded to the nearest 10?
-10
Let b be -1*(20/5 - 4). Suppose 7*x - 8*x = b. Round x to six decimal places.
0
Let j(m) = -26*m - 3. Let h be 15/(-12)*(7 - -1). Let x be j(h). Suppose 0 = -s + 1917 - x. What is s rounded to the nearest one hundred?
1700
Let q = 492.001364 + -492. What is q rounded to 4 dps?
0.0014
Let l(o) = -10*o**2 - 6*o + 22. Let a be l(17). Round a to the nearest one hundred.
-3000
Let c = 23 - 22. Let v(u) = 806668*u + 8. Let h(p) = 1. Let n(m) = c*v(m) - 12*h(m). Let b be n(3). What is b rounded to the nearest one hundred thousand?
2400000
Let x = 2.36645 - 2.335. Round x to two dps.
0.03
Let p(j) = -928*j + 583. Let a be p(4). What is a rounded to the nearest one hundred?
-3100
Let s = 562.6625 - 0.2625. Round s to the nearest ten.
560
Let i = -339 - -372. Suppose -2*z - w = -5, 0*w - 4*w = -2*z. Suppose 3*c - z*s = -20, 3*c = 8*c - 3*s + i. What is c rounded to zero dps?
-6
Let f = -94 - -269.7. What is f rounded to the nearest 100?
200
Suppose 204*m + 492000 = 220*m. What is m rounded to the nearest 10000?
30000
Let a(s) = -8396*s**2 - 8*s + 4. Suppose -3*y + 3*k - 15 = 0, 0 = -4*y + 4*k + k - 16. Let l be a(y). Round l to the nearest 100000.
-700000
Let i = 0.77155 + -0.77. Round i to 3 dps.
0.002
Let d = -17.967 - 0.033. Let l = -8935 - -8916.972. Let z = l - d. Round z to two decimal places.
-0.03
Let x(m) = -6610*m**2 + 19*m - 90. Let i be x(10). Round i to the nearest 10000.
-660000
Let c be 12/(-6) - 14/(-2). Suppose 9*s + 1240 = c*s. Round s to the nearest one hundred.
-300
Let m = -28 - -27.1. Let n = m + 0.89971. Round n to 4 decimal places.
-0.0003
Let v = -2264.34 - -2262. What is v rounded to one dp?
-2.3
Let k(b) = -b**3 - b. Let m(s) = 10161*s**3 + 5*s**2 + 7*s - 4. Let i(u) = -6*k(u) - m(u). Let d be i(4). Round d to the nearest 100000.
-700000
Let i = 40 - 49.5. Let a = i - -6. Let m = a - -3.33. What is m rounded to 1 dp?
-0.2
Let m be 4*3*(-3)/18. Let n be m - -2*8*11. Suppose 3*w - w = n. What is w rounded to the nearest ten?
90
Let d = -57 + 60. Suppose -y - 180001 = -5*u, -2*u + d*y - 16679 = -88682. What is u rounded to the nearest ten thousand?
40000
Let n = -0.41 - -0.38. Let k = -0.0300003 - n. Round k to 6 decimal places.
0
Let o = -4.8 - 22.2. Let m = 4 + o. Let p = 22.947 + m. Round p to 2 decimal places.
-0.05
Let v = 0.0295 - 1.3685. Let x = v - -1.338998957. What is x rounded to seven dps?
-0.000001
Let s(z) = 1547*z**2 + 11*z + 2. Let o be s(-4). Round o to the nearest 10000.
20000
Let h(f) = 8097*f - 433. Let o be h(-11). What is o rounded to the nearest 10000?
-90000
Let y = -0.101 + 40.101. Let w = 39.99777 - y. What is w rounded to four dps?
-0.0022
Suppose -32*y + 335500 = -27*y. What is y rounded to the nearest one thousand?
67000
Let z(p) = -399041*p - 16. Let l be z(-2). Let i = l - -811934. What is i rounded to the nearest 100000?
1600000
Let p(d) = 65*d**2 - 6*d - 111. Let u be p(-7). What is u rounded to the nearest one hundred?
3100
Let y = -497 + 494.67. Let v = y - -2.2. Let i = v - -0.130067. What is i rounded to 5 dps?
0.00007
Let q(g) = 11418*g + 36. Let p be q(-2). What is p rounded to the nearest 1000?
-23000
Let u = -8.30155 - 0.00545. What is u rounded to the nearest integer?
-8
Let y = 1.629854 + -1.633. What is y rounded to four decimal places?
-0.0031
Let f = 1.26 + -1.06. Let u = 0.05 + -4.05. Let x = u + f. Round x to 0 dps.
-4
Let z = 1.85 + -1.7. Let a = z + -7.65. What is a rounded to 0 decimal places?
-8
Let x = 13.20009204 + -13.2. What is x rounded to 5 decimal places?
0.00009
Let v be (9/(-2))/9*-14. Let l be 1876/v*10/(-4). Round l to the nearest 100.
-700
Let o = -0.426403 + -297.866597. Let q = -298 - o. Let r = q + -0.023. Round r to 1 decimal place.
0.3
Let c = 159.696708 - 159.7. What is c rounded to three decimal places?
-0.003
Let q be (-19)/38*-4*4. Suppose 0*d - q*d = 96560000. Round d to the nearest one million.
-12000000
Let m = 91 + -17.9. Round m to the nearest ten.
70
Let j = 18.3599189 - 18.36. What is j rounded to 5 dps?
-0.00008
Let q = 8 + 11. Let i = -6 + q. Let z = 13.00024 - i. Round z to four decimal places.
0.0002
Let a = -128 - -186. Let s = a - 37. Let p = s + -20.9875. What is p rounded to three decimal places?
0.013
Let y = 338841 - 338801.00135. Let r = 6.2 + -46.2. Let q = y + r. Round q to four decimal places.
-0.0014
Let u = -7 - -11. Suppose 436466 = u*d - 2974858. Suppose 0 = 3*k - d - 557169. Round k to the nearest one hundred thousand.
500000
Let w = -132 - -132.0000082. What is w rounded to 6 decimal places?
0.000008
Let g = 2643260 - 6271260. Round g to the nearest 100000.
-3600000
Let o = 18.4 + -16. Let s = -5421262 - -5421264.399977. Let d = s - o. What is d rounded to five decimal places?
-0.00002
Let q = -686.95 + 695. Round q to one dp.
8.1
Let v be 150/((-1)/(-175)*5/14). What is v rounded to the nearest ten thousand?
70000
Let z(h) = 20696*h + 32. Let y be z(8). What is y rounded to the nearest ten thousand?
170000
Suppose 2*t - 1657 = -3*g, -2*t + 5*t - 1108 = -2*g. What is g rounded to the nearest 100?
600
Let n = 171756.494962 - 171612.495. Let j = n + -144. Round j to 4 decimal places.
0
Let f(n) = -86*n**2 + 19*n - 33. Let c be f(-17). What is c rounded to the nearest 1000?
-25000
Let b = -5.98 + 6. Let u = b - 0.02. Let m = u - -0.0176. Round m to 3 decimal places.
0.018
Let s = 5956.0000011546 - 5956. What is s rounded to 7 dps?
0.0000012
Let c = 2145 + -3121. Let b = 975.99597 + c. What is b rounded to three decimal places?
-0.004
Let x(t) = -94*t**2 - 4*t - 1. Let i be x(7). Let b = 1565 - i. Round b to the nearest 1000.
6000
Let l = 1800000 + -196000. Round l to the nearest one hundred thousand.
1600000
Let g = -0.8028 + -33.2422. Let o = -0.045 - g. Let i = 34.065 - o. Round i to 2 dps.
0.07
Let v = 660 + -670.925. Let t = -11 - v. Round t to two decimal places.
-0.08
Let k = -4.9 - -21.6. Let b = 17 - k. Let f = b + -0.300044. Round f to 5 dps.
-0.00004
Let r(l) = -6*l - 11. Let z(s) = 5*s + 10. Let q(n) = -6*r(n) - 7*z(n). Let p be q(0). Let f be (46 - -2) + 2 + p. Round f to the nearest 10.
50
Suppose 7 = 4*j + q - 5, 0 = 3*j - 5*q + 14. Suppose 129599998 = 4*v - j*n, -2*v + 4*n = -0*n - 64799996. What is v rounded to the nearest one million?
32000000
Let j = -80 - -28. Let h = 52.00000232 + j. Round h to 7 dps.
0.0000023
Let p = 3.608264 - 3.61. What is p rounded to four dps?
-0.0017
Let u = 1417.7 - 1488. Round u to the nearest 10.
-70
Let d = 802151791529022 - 802151587957255.9999983. Let o = d - 203571734. Let q = 32 - o. Round q to seven decimal places.
-0.0000017
Let m = 156 + -188.9. Let h = m - -37. Let y = 4.10097 - h. Round y to 4 dps.
0.001
Let s(c) = c**2 + 11*c - 9. Let o be s(-12). Let a be (-300000 - -2) + o + -5. What is a rounded to the nearest 100000?
-300000
Let d = -5 + 5. Suppose -5*c + 18 = -2*y, d = -5*y - c - 2 + 11. Let x be 204004/(-8)*2 + y. What is x rounded to the nearest ten thousand?
-50000
Let m = -16.4 + 12. Let u = 4.39 + m. Round u to 1 decimal place.
0
Let x = 57545487 + -86155487. Round x to the nearest one million.
-29000000
Let a = -729 + 690.5. Round a to the nearest 10.
-40
Let f = -18.39281 - -20.292813. Let m = 1.9 - f. What is m rounded to 5 dps?
0
Let c(j) = 21777*j**2 + 20*j + 67. Let v be c(-3). What is v rounded to the nearest ten thousand?
200000
Let h = 21.6073 - 21.7. What is h rounded to 2 dps?
-0.09
Let t(i) = -i**2 - 3*i + 6. Let m be t(-4). Suppose -m*j - 16 = -6*j. Suppose d + 4*v - 15174 = 1314, 0 = 3*d - j*v - 49512. Round d to the nearest 1000.
17000
Let k = 528640 - 528639.2000096. Let s = k - 0.8. What is s rounded to 6 dps?
-0.00001
Let a(r) = -67*r + 5. Let q(i) = -66*i + 6. Let s(l) = -3*a(l) + | {
"pile_set_name": "DM Mathematics"
} |
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