text
stringlengths 12
178
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stringclasses 8
values | template
stringclasses 56
values |
|---|---|---|
Solve 0 = -4*q - 21 + 5 for q.
-4
|
algebra
|
linear_1d
|
Solve -25 = -7*c + 10 for c.
5
|
algebra
|
linear_1d
|
Solve -29 = 8*a + 3 for a.
-4
|
algebra
|
linear_1d
|
Solve 14 - 38 = 6*z for z.
-4
|
algebra
|
linear_1d
|
Solve -7*v = -29 + 1 for v.
4
|
algebra
|
linear_1d
|
Solve 0 = 96*g - 85*g + 66 for g.
-6
|
algebra
|
linear_1d
|
Solve 51*f = 52*f + 4 for f.
-4
|
algebra
|
linear_1d
|
Solve 6*j - 451 + 469 = 0 for j.
-3
|
algebra
|
linear_1d
|
Solve 0 = 13*b - 16*b + 15 for b.
5
|
algebra
|
linear_1d
|
Solve -j - 31 + 27 = 0 for j.
-4
|
algebra
|
linear_1d
|
Let j(g) = 2*g - 4. Let l be j(4). Let q be (1 + -1)/(l/(-4)). Solve -5*v = -q*v for v.
0
|
algebra
|
linear_1d_composed
|
Let l(y) = 5*y**2 + 1. Let c be l(2). Suppose 4*x = 4*b + c - 5, b = 5*x - 24. Solve -3*q = b + 14 for q.
-5
|
algebra
|
linear_1d_composed
|
Let z(v) = v**3 - 3*v**2 + 3*v - 3. Let u be z(3). Let q be ((-15)/6)/5*-6. Solve -6 - u = -q*w for w.
4
|
algebra
|
linear_1d_composed
|
Let a(t) = 7 - t. Let b be a(3). Let n = -6 + 9. Solve -r - b + n = 0 for r.
-1
|
algebra
|
linear_1d_composed
|
Suppose -4*u = t + 2*t - 29, -2*u = -4*t + 2. Let b be -6*(9/(-2))/t. Solve 2*r + b = -r for r.
-3
|
algebra
|
linear_1d_composed
|
Let n be 116/10 + 2/5. Solve 5*g - 2*g - n = 0 for g.
4
|
algebra
|
linear_1d_composed
|
Suppose 0 = -l - 3*h + 11, 5 + 1 = 3*h. Solve 2 - 17 = -l*q for q.
3
|
algebra
|
linear_1d_composed
|
Let t = -11 - -4. Let j = 18 - 7. Let i = j + t. Solve i*s - 18 = 2 for s.
5
|
algebra
|
linear_1d_composed
|
Let i = -21 + 15. Let t = 13 + i. Solve 3*y - t*y - 8 = 0 for y.
-2
|
algebra
|
linear_1d_composed
|
Let c = -11 + -1. Suppose 0 = 4*n - f + 29, 0*n = -3*n + 4*f - 12. Let o = n - c. Solve -5*a - o = -4*a for a.
-4
|
algebra
|
linear_1d_composed
|
Solve -4*h - 2 = 2*y, -3*y + 0*y - 5 = 5*h for h.
2
|
algebra
|
linear_2d
|
Solve 4*l = c - 11 - 8, -7 = 2*c + l for c.
-1
|
algebra
|
linear_2d
|
Solve -n = 2*p + 3*n, 0 = -p + n + 6 for p.
4
|
algebra
|
linear_2d
|
Solve -3*o = 4*p + 13, -6 = -o - o + p for o.
1
|
algebra
|
linear_2d
|
Solve -9*k + 6*k = 4*q - 19, -19 = q - 4*k for q.
1
|
algebra
|
linear_2d
|
Solve -2*k + 9*i - 5 = 4*i, -5*k + 1 = i for k.
0
|
algebra
|
linear_2d
|
Solve 33 = -4*q + 2*s + 13, -5*s = 2*q - 14 for q.
-3
|
algebra
|
linear_2d
|
Solve g = 4*r + 23, -3*g + 26*r - 21*r + 34 = 0 for g.
3
|
algebra
|
linear_2d
|
Solve -6*v + 3*v = k - 7, 4*v - 3 = 5*k for v.
2
|
algebra
|
linear_2d
|
Solve 3*w - 21*m = -22*m - 10, -5*w - 14 = -m for w.
-3
|
algebra
|
linear_2d
|
Let f = 28 + -24. Solve g - 2*g + 3*t + 12 = 0, f*t + 17 = g for g.
-3
|
algebra
|
linear_2d_composed
|
Suppose 5*m - 9 = 21. Suppose 0*w + 5*w - 4*j - 26 = 0, -5*w - 3*j - 2 = 0. Suppose w*u = 4*u - m. Solve -3*a + 12 = -u*q, q - 2*a - 1 = -4 for q.
-5
|
algebra
|
linear_2d_composed
|
Let j(s) = 11 - s. Let z be j(7). Solve -k - 8 = -2*r, 0*k - 2*k + z = r for k.
0
|
algebra
|
linear_2d_composed
|
Let m(a) = 2*a + 0*a - a - 1 + 0*a. Let l be m(5). Solve 16 = -d + 3*k, -8 - 7 = -5*d - l*k for d.
-1
|
algebra
|
linear_2d_composed
|
Suppose 5*l = 0, -4*l + l - 20 = -5*o. Solve 4*h = -n + o, 0 = -4*n - 25 + 9 for h.
2
|
algebra
|
linear_2d_composed
|
Let b be (0 - 9/(-6))*-2. Let p(c) = c**2 + 2*c - 1. Let g be p(b). Let d = 1 + g. Solve 1 = -5*t + d*k, 10 = 3*t + 5*k - 3 for t.
1
|
algebra
|
linear_2d_composed
|
Suppose -w = -0*w - 2. Let m(v) = v**3 + 3*v**2 - 2*v - 4. Suppose -2*j - 6 = -0*j. Let o be m(j). Solve 18 = -5*h + 5*q - w*q, q - 7 = o*h for h.
-3
|
algebra
|
linear_2d_composed
|
Let z be (4/5)/((42/(-30))/(-7)). Solve -3*s = -2*q + z*q + 5, -5*q - 2*s = -15 for q.
5
|
algebra
|
linear_2d_composed
|
Suppose 32 = g - 18. Suppose 3*n = -2*n + g. Let v(k) = -3*k**3 - k**2 - k. Let y be v(-1). Solve -2*z = -z + 5*m - 6, -y*m = 4*z + n for z.
-4
|
algebra
|
linear_2d_composed
|
Let r be 108/20 + 4/(-10). Solve r*c = 5*m + 5, -2*m = -0*m + 4*c + 26 for m.
-5
|
algebra
|
linear_2d_composed
|
Solve y**2/4 + 37*y/2 + 1369/4 = 0.
-37
|
algebra
|
polynomial_roots
|
Find j such that j**3/7 - 26*j**2/7 - 8*j = 0.
-2, 0, 28
|
algebra
|
polynomial_roots
|
Factor -2*m**3 - 220*m**2 + 222*m.
-2*m*(m - 1)*(m + 111)
|
algebra
|
polynomial_roots
|
Factor 2*f**3/9 + 10*f**2/3 + 16*f + 24.
2*(f + 3)*(f + 6)**2/9
|
algebra
|
polynomial_roots
|
Determine a, given that 4*a**3 - 48*a + 64 = 0.
-4, 2
|
algebra
|
polynomial_roots
|
Suppose -4*u**2/3 + 88*u/3 + 416/3 = 0. Calculate u.
-4, 26
|
algebra
|
polynomial_roots
|
Find b such that -250*b**3 - 7800*b**2 - 81120*b - 281216 = 0.
-52/5
|
algebra
|
polynomial_roots
|
Factor 4*k**2 - 44*k + 96.
4*(k - 8)*(k - 3)
|
algebra
|
polynomial_roots
|
Factor -3*a**4 - 9*a**3 + 48*a**2 - 36*a.
-3*a*(a - 2)*(a - 1)*(a + 6)
|
algebra
|
polynomial_roots
|
Let 2*s**5 + 10*s**4 - 60*s**3 + 100*s**2 - 70*s + 18 = 0. What is s?
-9, 1
|
algebra
|
polynomial_roots
|
Suppose -4*f + 56 = 4*f. Let r(n) be the second derivative of 0*n**3 + 0 + 1/105*n**f - 1/50*n**5 + 0*n**2 + 1/75*n**6 - 3*n - 1/30*n**4. Factor r(l).
2*l**2*(l - 1)*(l + 1)**2/5
|
algebra
|
polynomial_roots_composed
|
Let t(a) = -6 - a**2 - 5*a + 14*a + 0*a**2. Let x be t(8). Determine m, given that 2/11*m**x + 4/11*m + 2/11 = 0.
-1
|
algebra
|
polynomial_roots_composed
|
Let w(d) be the first derivative of 4/15*d**3 + 1/5*d**2 - 7/10*d**4 - 3 + 0*d + 8/25*d**5. Factor w(o).
2*o*(o - 1)**2*(4*o + 1)/5
|
algebra
|
polynomial_roots_composed
|
Let m(h) = -h**2 - 3. Let u(w) = 4. Let s(r) = -1. Let k(z) = -9*s(z) - 2*u(z). Let a = -19 - -18. Let c(j) = a*m(j) - 3*k(j). Find q, given that c(q) = 0.
0
|
algebra
|
polynomial_roots_composed
|
Let s(t) be the first derivative of 5/7*t**2 + 2/7*t**3 + 4/7*t + 1. Factor s(a).
2*(a + 1)*(3*a + 2)/7
|
algebra
|
polynomial_roots_composed
|
Solve -2/3*k**2 + 7/3*k**5 + 0*k + 11/3*k**3 + 0 - 16/3*k**4 = 0 for k.
0, 2/7, 1
|
algebra
|
polynomial_roots_composed
|
Let s be 10/(-25) - (-42)/5. Suppose -2*c + s = 2*c. Let -p**3 - c*p + p**5 - 3*p**5 + 5*p**3 = 0. What is p?
-1, 0, 1
|
algebra
|
polynomial_roots_composed
|
Let b(j) be the first derivative of -j**3/18 + j**2/6 - j/6 + 3. Factor b(v).
-(v - 1)**2/6
|
algebra
|
polynomial_roots_composed
|
Let w(v) be the third derivative of -v**6/48 - v**5/40 + v**4/24 - 4*v**2. Let w(n) = 0. What is n?
-1, 0, 2/5
|
algebra
|
polynomial_roots_composed
|
Let t be 7 - 1 - (-208)/(-36). Factor 2/9 + 0*l - t*l**2.
-2*(l - 1)*(l + 1)/9
|
algebra
|
polynomial_roots_composed
|
What is next in 34, 66, 104, 148?
198
|
algebra
|
sequence_next_term
|
What comes next: -39, -30, -11, 24, 81, 166, 285, 444?
649
|
algebra
|
sequence_next_term
|
What is next in -540, -1079, -1618, -2157?
-2696
|
algebra
|
sequence_next_term
|
What is the next term in 20, 31, 42, 53, 64, 75?
86
|
algebra
|
sequence_next_term
|
What is the next term in 2, 7, 16, 29, 46, 67?
92
|
algebra
|
sequence_next_term
|
What is the next term in 105, 412, 925, 1644, 2569?
3700
|
algebra
|
sequence_next_term
|
What is the next term in 86, 171, 256, 341?
426
|
algebra
|
sequence_next_term
|
What is the next term in 655, 656, 657?
658
|
algebra
|
sequence_next_term
|
What is the next term in 92, 176, 276, 398, 548, 732?
956
|
algebra
|
sequence_next_term
|
What is next in 54, 72, 100, 138, 186, 244?
312
|
algebra
|
sequence_next_term
|
What is the y'th term of 30, 54, 86, 132, 198, 290, 414, 576?
y**3 - 2*y**2 + 23*y + 8
|
algebra
|
sequence_nth_term
|
What is the k'th term of 37, 77, 117, 157?
40*k - 3
|
algebra
|
sequence_nth_term
|
What is the x'th term of 2, -7, -24, -49, -82?
-4*x**2 + 3*x + 3
|
algebra
|
sequence_nth_term
|
What is the r'th term of 116, 231, 346, 461, 576, 691?
115*r + 1
|
algebra
|
sequence_nth_term
|
What is the w'th term of 52, 215, 492, 883?
57*w**2 - 8*w + 3
|
algebra
|
sequence_nth_term
|
What is the q'th term of 15, 25, 25, 9, -29, -95, -195, -335?
-q**3 + q**2 + 14*q + 1
|
algebra
|
sequence_nth_term
|
What is the z'th term of 36, 44, 74, 138, 248, 416, 654?
2*z**3 - z**2 - 3*z + 38
|
algebra
|
sequence_nth_term
|
What is the d'th term of 33, 64, 95, 126, 157, 188?
31*d + 2
|
algebra
|
sequence_nth_term
|
What is the j'th term of 2515, 2514, 2513, 2512, 2511?
2516 - j
|
algebra
|
sequence_nth_term
|
What is the g'th term of 290, 578, 866?
288*g + 2
|
algebra
|
sequence_nth_term
|
Calculate -1.1067 - 1.
-2.1067
|
arithmetic
|
add_or_sub
|
Work out -54 - -124.9.
70.9
|
arithmetic
|
add_or_sub
|
Work out 47946 + 0.3.
47946.3
|
arithmetic
|
add_or_sub
|
-3.53 - -2
-1.53
|
arithmetic
|
add_or_sub
|
What is the distance between -0.02 and 8?
8.02
|
arithmetic
|
add_or_sub
|
-171+19
-152
|
arithmetic
|
add_or_sub
|
Work out 0.5 - 26.29.
-25.79
|
arithmetic
|
add_or_sub
|
Calculate -759 + 2.5.
-756.5
|
arithmetic
|
add_or_sub
|
Work out -6689 - 17.
-6706
|
arithmetic
|
add_or_sub
|
What is the distance between 1192 and 5?
1187
|
arithmetic
|
add_or_sub
|
In base 14, what is d - 2?
b
|
arithmetic
|
add_or_sub_in_base
|
In base 2, what is 10 - 1000010?
-1000000
|
arithmetic
|
add_or_sub_in_base
|
In base 10, what is -3 - -39?
36
|
arithmetic
|
add_or_sub_in_base
|
In base 3, what is -201210 + 10?
-201200
|
arithmetic
|
add_or_sub_in_base
|
In base 6, what is -3 - -333?
330
|
arithmetic
|
add_or_sub_in_base
|
In base 2, what is 11 + 1010101?
1011000
|
arithmetic
|
add_or_sub_in_base
|
In base 7, what is 122 - 6?
113
|
arithmetic
|
add_or_sub_in_base
|
In base 7, what is 4 - -14?
21
|
arithmetic
|
add_or_sub_in_base
|
In base 6, what is 131 + -21?
110
|
arithmetic
|
add_or_sub_in_base
|
In base 6, what is 3132 - 5?
3123
|
arithmetic
|
add_or_sub_in_base
|
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