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igit of 2788?
8
What is the thousands digit of 1003?
1
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1
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8
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3
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6
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5
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2
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8
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2
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2
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4
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9
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0
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5
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9
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9
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2
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7
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4
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9
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2
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0
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3
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5
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5
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4
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6
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6
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8
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8
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9
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9
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6
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3
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8
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2
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3
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7
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5
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1
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2
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2
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2
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3
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7
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1
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9
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1
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3
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2
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3
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7
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3
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6
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8
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8
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3
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2
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3
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7
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2
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9
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2
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6
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0
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1
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1
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6
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9
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9
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1
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0
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6
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4
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4
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4
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9
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1
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8
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2
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8
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5
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3
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2
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5
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0
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5
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7
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4
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1
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9
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5
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4
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3
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3
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2
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7
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3
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0
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6
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0
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8
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1
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7
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5
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1
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6
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4
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5
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7
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2
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5
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0
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1
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1
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5
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1
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4
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9
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3
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4
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1
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5
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2
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4
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4
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0
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1
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8
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2
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0
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9
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3
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1
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2
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1
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1
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2
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2
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6
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6
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3
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1
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1
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0
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2
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8
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1
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5
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2
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5
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4
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1
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3
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0
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2
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5
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1
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6
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7
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1
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5
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1
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2
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0
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6
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4
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3
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2
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1
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9
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8
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3
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3
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0
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3
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9
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9
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2
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3
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3
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5
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8
What is the tens digit of 2560?
6
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5
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2
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4
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2
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1
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0
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1
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4
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8
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2
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4
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8
What is the tens digit of 54318?
1
What is the thousands digit of 8374?
8
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2
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9
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4
What is the thousands digit of 37482?
7
What is the thousands digit of 5972?
5
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1
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2
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4
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3
What is the units digit of 53?
3
What is the units digit of 75?
5
What is the tens digit of 2896?
9
What is the tens digit of 31308?
0
What is the units digit of 1380?
0
What is the hundreds digit of 248?
2
What is the thousands digit of 11404?
1
What is the hundreds digit of 2163?
1
What is the hundreds digit of 122?
1
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1
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1
What is the hundreds digit of 15369?
3
What is the thousands digit of 8795?
8
What is the hundreds digit of 4 | {
"pile_set_name": "DM Mathematics"
} |
**3 + 6*p**2 - 6*p + 6. Let r(i) = -5*i**2 + 5*i - 5. Determine -5*d(b) - 6*r(b).
5*b**3
Suppose -2*f - 4*r = -18 - 2, -27 = -3*f - 5*r. Suppose 22 = 6*g - f*g. Let u(d) = -2*d**2 + 3*d - 4. Let v(b) = 6*b**2 - 8*b + 11. Calculate g*u(o) + 4*v(o).
2*o**2 + o
Let q(j) = -j**3 - j**2 - j - 1. Let a(y) = 3 + y**3 - 9*y**3 + 10*y**3 + 3*y + 3*y**3 + 3*y**2. Give -a(p) - 3*q(p).
-2*p**3
Let c(w) = -3*w**2 - 6*w - 6. Let v(s) be the second derivative of s**4/6 + 5*s**3/6 + 5*s**2/2 + 5*s. Calculate 5*c(l) + 6*v(l).
-3*l**2
Let y(f) = 14*f + 7. Let j(z) = -1. Determine -6*j(o) - y(o).
-14*o - 1
Let m(h) = -14*h**3 - 42*h + 42. Let l(a) = a - 1. Give 42*l(s) + m(s).
-14*s**3
Let s(h) = -h + 8. Let j(c) = c - 8. Determine 4*j(k) + 5*s(k).
-k + 8
Let v(c) = 2*c**3 - 7*c**2 + 5*c + 6. Let w(d) = 2*d**3 - 6*d**2 + 6*d + 5. What is 4*v(o) - 5*w(o)?
-2*o**3 + 2*o**2 - 10*o - 1
Let c(i) = -4*i**3 - 2. Let q(o) = 2 + o**3 - 7*o**3 + 9*o**3. Determine -5*c(g) - 6*q(g).
2*g**3 - 2
Let b(y) = 7*y + 6. Let z(p) = p + 2. Let x be z(-3). Let g be (14/6)/((-1)/(-3)). Suppose 3*h - g = 8. Let v(d) = d + 1. Determine h*v(c) + x*b(c).
-2*c - 1
Let i(g) be the first derivative of 5*g**2/2 + 5*g + 1. Let p(r) = 11*r + 11. Suppose 8*u + 9*u - 119 = 0. Determine u*i(f) - 3*p(f).
2*f + 2
Let g = 0 + 2. Let m(t) = -t + 10. Let o(f) = 2. Let a(n) = -6. Let x(c) = -5*a(c) - 14*o(c). Determine g*m(d) - 10*x(d).
-2*d
Let x(t) = 7*t**2 - 5*t + 6. Let c(m) = 4*m**2 - 3*m + 3. Determine 5*c(b) - 3*x(b).
-b**2 - 3
Let j = -10 - -6. Suppose 0 = 3*m - 6, -3*k - m + 0*m = 1. Let s(d) = -6*d - 1. Let n(q) = q. What is j*n(z) + k*s(z)?
2*z + 1
Suppose 2*n - 2 = -16. Let c(o) = 3*o**2. Let g(d) = 10*d**2. What is n*c(m) + 2*g(m)?
-m**2
Let j(c) = -2*c + 2 - 5*c - 5 + 0 - 2*c**2. Let d(h) = -h**2 - 3*h - 1. Let m(u) = -u - 2. Let k be m(-5). Suppose -6 = -k*n + 9. What is n*d(q) - 2*j(q)?
-q**2 - q + 1
Let m(n) = 7*n**3 + 6*n**2 + 5*n - 6. Let f(i) be the first derivative of -3*i**4/2 - 5*i**3/3 - 2*i**2 + 5*i - 26. What is 6*f(c) + 5*m(c)?
-c**3 + c
Let r(m) = -3*m**3 - m**2 + 4*m - 4. Let z(c) = 15*c**3 + 6*c**2 - 21*c + 21. Give 21*r(x) + 4*z(x).
-3*x**3 + 3*x**2
Let n(f) = 3*f - 1. Let p = 3 - 6. Let g(i) = -2 + 0 + 1 + 2*i. Determine p*n(x) + 5*g(x).
x - 2
Let s(g) = -150*g**3 - 14*g**2 - 14. Let d(f) = 30*f**3 + 3*f**2 + 3. Give -14*d(x) - 3*s(x).
30*x**3
Let x(w) = 0 + 3 - 8*w + 4*w - 6*w**2. Let i(t) = -2*t + 2 - 4*t**2 - t**2 - t. Let v be -2*(-10)/4 - 1. Calculate v*i(l) - 3*x(l).
-2*l**2 - 1
Let v(x) = -x - 1. Let z(o) = -23*o - 6. Determine 6*v(m) - z(m).
17*m
Let y(s) = s**3 - 4*s**2 + 4*s - 2. Let b be y(4). Let w(m) = -2*m + 3. Let c be 2/(-6) + (-16)/(-3). Let k(p) = 1 - 3 - 5 + c*p. What is b*w(v) + 6*k(v)?
2*v
Let p(x) = 3*x**2 - 2*x + 5. Let o(a) = -2*a**2 + 2*a - 4. Calculate 4*o(d) + 3*p(d).
d**2 + 2*d - 1
Let b(m) = 51*m**3 + 8*m + 8. Let l(c) = -34*c**3 - 5*c - 5. Calculate 5*b(g) + 8*l(g).
-17*g**3
Let o(d) be the third derivative of d**5/20 - d**4/6 - 2*d**3/3 + 10*d**2. Let r(h) = 6*h**2 - 7*h - 7. Give -7*o(l) + 4*r(l).
3*l**2
Let c(l) = -l + 1. Let i be (-35)/(-14) + 2/4. Let w(f) = 2*f - 3. Determine i*c(y) + w(y).
-y
Let z(d) = 3*d. Suppose -3*w = -4*w - 14. Let n = w - -10. Let k(j) = j. Let a(g) = -g**2 - 11*g - 23. Let b be a(-8). What is b*z(o) + n*k(o)?
-o
Suppose 2*g = 6*g + 24. Let c be (-44)/12*(-5 - -2). Let v(y) = 5*y**2 + 4*y - 9. Let d(s) = 3*s**2 + 2*s - 5. Give c*d(z) + g*v(z).
3*z**2 - 2*z - 1
Let j(k) = 27*k - 2. Let p(g) = -14*g + 1. What is -3*j(o) - 7*p(o)?
17*o - 1
Let a be 2/5*(7 + -12). Let m(i) = -2*i**2 - 2*i + 1. Let y(d) = 0*d - 2*d**2 + d**2 - d. Give a*m(o) + 6*y(o).
-2*o**2 - 2*o - 2
Let y(k) = k**2 + 7*k + 6. Let c be y(-5). Let x(h) = -15*h**2 + 9*h - 9. Let w(a) = 7*a**2 - 4*a + 4. Calculate c*x(d) - 9*w(d).
-3*d**2
Let p = -2 - 5. Let w(q) = 6*q - 1. Let a(j) = -9*j + 1. Give p*w(m) - 5*a(m).
3*m + 2
Let g(c) = -2*c + 80. Let a(w) = w - 53. Give -8*a(o) - 5*g(o).
2*o + 24
Let q(u) = -5 + 4 - 5*u + 6 + 7*u**2. Let a(k) = 6*k**2 - 4*k + 4. Calculate -5*a(l) + 4*q(l).
-2*l**2
Let m(l) = -3*l**3 - l + 3. Let x(t) = 6 - 5 + t - 2. Determine m(f) + 3*x(f).
-3*f**3 + 2*f
Let c(r) = 2*r**3 - 8*r**2 - 3. Let k(i) = 3*i**3 - 12*i**2 - 5. Determine -8*c(s) + 5*k(s).
-s**3 + 4*s**2 - 1
Let b(i) = 17 + 8*i**2 + 18*i**2 + 17*i - 6*i**2. Let z(r) = -7*r**2 - 6*r - 6. Suppose 2*n + 14 - 2 = 0. Determine n*b(q) - 17*z(q).
-q**2
Let y(f) = -f**3 - 7*f**2 + 4. Let b be y(-7). Let i(d) = b*d - 4*d + 0*d + d. Let h be (-2 - -5)*(-10)/3. Let m(n) = -12*n. Determine h*i(a) - m(a).
2*a
Let r(x) be the second derivative of -2*x**3/3 - x**2 - 3*x. Let z be r(3). Let v(g) = g**2 - 2. Let b(c) = 3*c**2 - 7. Give z*v(i) + 4*b(i).
-2*i**2
Let g(p) = -3*p**3 - 12*p**2 + 12. Let a(s) be the first derivative of 0*s**2 + 6 - s + 1/3*s**3. Determine 12*a(n) + g(n).
-3*n**3
Suppose 94*f + 6 = 97*f. Let q(l) = -7*l**2 - 3*l - 3. Let x(z) = 7*z**2 + 2*z + 2. What is f*q(r) + 3*x(r)?
7*r**2
Let d(q) = q**3 + q**2 - q + 1. Let m = 0 - -1. Let a = m - 3. Let x be -1*(a + 1) + -2. Let p(h) = 2*h**3 + h**2 - 3*h + 1. What is x*p(k) + d(k)?
-k**3 + 2*k
Let l(c) = -9*c**2 + 5*c. Let v(h) = 10*h**2 - 4*h. What is 4*l(n) + 5*v(n)?
14*n**2
Let g(o) = 2*o**2 - 5. Let s be (28/(-16))/((-1)/(-12)). Let a(b) = -9*b**2 + 21. Give s*g(i) - 5*a(i).
3*i**2
Let c(q) = -2*q - 3. Let a(u) = u + 1. Give -9*a(v) - 4*c(v).
-v + 3
Let f(r) = -2*r + 7. Suppose 23 = -3*s + 14. Let i(m) = 3*m - 13. Determine s*i(q) - 5*f(q).
q + 4
Let x(c) = -7*c**2. Let l(z) = 15*z**2 + z. Let h(s) = -3*l(s) - 7*x(s). Let p(t) = -20*t**2 + 14*t. What is 14*h(u) + 3*p(u)?
-4*u**2
Let b(a) = -5*a + 2 - 8 + 13*a. Let i(o) = -2 - 18 + 23*o + 3. Calculate 17*b(t) - 6*i(t).
-2*t
Let b(m) be the third derivative of -m**6/60 - m**5/30 + 5*m**4/24 - 13*m**2. Let y(k) = 4*k**3 + 5*k**2 - 11*k. Calculate -5*b(s) - 2*y(s).
2*s**3 - 3*s
Suppose y = -3*a - 2*y + 33, -3*a + 3*y = -9. Let b(u) = 1. Let z(p) = p**2 - p + 4. What is a*b(l) - 2*z(l)?
-2*l**2 + 2*l - 1
Let q(f) = 1. Let t(v) = 4 + 2*v + 0*v - 8. Calculate -q(k) + t(k).
2*k - 5
Let o = -97 - -93. Let y(s) = 3*s + 6. Let p(x) = -1. What is o*p(c) - y(c)?
-3*c - 2
Let y be 12/5 - 6/15. Suppose t = 3 - y. Let d(q) = q**2 - q - 1. Let a(g) = 4*g**2 - 5*g - 5. Calculate t*a(w) - 5*d(w).
-w**2
Let q = -11 - -7. Let d be 2/q*(-9 - -7). Let t(z) = 0 + 3 - d - 1. Let g(h) = 2*h**2 + h + 1. What is g(w) - t(w)?
2*w**2 + w
Suppose 39 = -5*w + 4. Let l = -3 - w. Let c(n) = 3*n**3 - 4*n**2 - 6*n. Let g(h) = 4*h**3 - 5*h**2 - 7*h. Calculate l*g(m) - 5*c(m).
m**3 + 2*m
Let v(c) = c + 27. Let s(r) = -2*r - 54. Determine -4*s(i) - 9*v(i).
-i - 27
Suppose -2*d - 4 = 4. Let v(p) = p**3 - 8*p**2 - 19*p - 5. Let y be v(10). Let k(a) = 2*a**3 - 4*a - 2. Let u(q) = 3*q**3 - 5*q - 2. Give d*u(m) + y*k(m).
-2*m**3 - 2
Suppose 25 - 5 = 4*g. Let o be (-26)/(-7) + 8/28. Let a(u) be the first derivative of -2*u**3 + u**2 - 1. Let k(d) = 5*d**2 - 2*d. Give g*k(t) + o*a(t).
t**2 - 2*t
Let v(p) = 4*p**2 - 2*p + 3. Let i(o) = 9*o**2 - 5*o + 6. Give -2*i(b) + 5*v(b).
2*b**2 + 3
Let l(h) = -h - 10. Let u(m) = -2. Let w(k) = -2*l(k) + 11*u(k). Suppose t + 0*t = -2. Let b(c) = 5 + 1 - 5. Calculate t*b(s) - w(s).
-2*s
Let q(b) = 9*b**3 + 10*b**2 - 5*b - 5. Let v(k) = 13*k**3 + 15*k**2 - 7*k - 7. Calculate 7*q(g) - 5*v(g).
-2*g**3 - 5*g**2
Let f(h) = -14*h - 2. Let w(s) = -43*s - 7. Determine 7*f(q) - 2*w(q).
-12*q
Let k(y) = 2*y**3 + 3*y**2 - 5*y - 2. Let x(m) = -m**3 - m**2 + 2*m + 1. Calculate -2*k(t) - 5*x(t).
t**3 - t**2 - 1
Let b(v) = v**2 - v + 1. Let r(x) = -2*x**3 - 2*x**2 + 10*x - 2. Let t(u) = 6*b(u) + r(u). Let k(q) = -2*q**3 + 5*q**2 + 5*q + 5. What is -4*k(o) + 5*t(o)?
-2*o**3
Let g(b) = -44*b + 11. Let l(t) = 11*t - 3. Give -3*g(a) - 11*l(a).
11*a
Let c(f) = 3*f**3 - 3*f**2 + 5*f - 3. Let m(o) = 3*o**3 - 4*o**2 + 6*o - 4. Give -6*c(x) + 5*m(x).
-3*x**3 - 2*x**2 - 2
Let c be (0 + 5/(-2))*-2. Let a(p) = -2*p + 2. Let t(r) = -7*r + 9. Let g(w) = 9*a(w) - 2*t(w). Let n(m) = -7*m. Give c*g(x) - 3*n(x).
x
Let m(w) = -4*w**2 + 9*w + 17. Let y(t) = -2*t**2 + 4*t + 8. Suppose -5*n + 10 = 40. Give n*m(l) + 13*y(l).
-2*l**2 - 2*l + 2
Let g(n) = -6*n + 5. Let k be g(-1). Let b(u) = -15*u + 4. | {
"pile_set_name": "DM Mathematics"
} |
culate the highest common factor of l and z.
58
Let n be (-42024)/(-60) - (102/30 + -3). Calculate the greatest common divisor of n and 56.
28
Suppose 0 = 2*l + 5*k - 41, 74*k = 5*l + 72*k - 30. What is the highest common divisor of l and 19336?
8
Suppose -4*g = -3*g - 3*k - 157, 4*k + 796 = 5*g. Suppose -o - 4*m = -68, -249 = -119*o + 116*o + 3*m. Calculate the highest common factor of g and o.
80
Suppose -5*z = -10*z + 2240. Suppose 0 = 14*r + 3*t - 223, -297*t - 32 = -r - 299*t. What is the greatest common factor of z and r?
14
Let s = -2040 + 2367. What is the highest common factor of s and 3?
3
Suppose 23773 = 552*g - 12659. Suppose -123 = -5*i - h, -3*i - 3*h + 5*h = -66. What is the highest common divisor of g and i?
6
Let j be (8 - 7) + -2 + 6. Suppose 2*f + 24 = j*m, 9*m + 5*f = 7*m - 2. What is the highest common factor of m and 4?
4
Suppose -148*g + 146*g = -4. Suppose -4*c = 5*l - 58, 0 = -7*l + 9*l + g*c - 24. Suppose 0 + 20 = 5*m. What is the highest common factor of m and l?
2
Let v(k) = k**2 - 5*k - 27. Let a be (-8 + -1 + 0)/(30 + -31). Let d be v(a). Calculate the highest common divisor of 72 and d.
9
Let u = 21 + -11. Let c be 2/5*5*2. Suppose -111 = -c*h + 3*f, h + 3*f - 2 - 37 = 0. What is the greatest common divisor of u and h?
10
Let a = 39829 + -39759. What is the highest common divisor of 11530 and a?
10
Let l(o) = 3*o**2 + 16*o - 133. Let w be l(-12). Suppose 5*j + 5 = -3*v + w, -3*v + 66 = 3*j. What is the highest common factor of 36 and j?
18
Let x be (2 - (-27)/(-15))/((-4)/(-20)). Let v be x/(-2)*-10*(-294)/(-30). What is the greatest common divisor of v and 35?
7
Suppose 0 = -4684*r + 4682*r + 170. Let p be -2 + (-4638)/(-27) + (-2)/(-9). What is the highest common factor of p and r?
85
Suppose -102*n + 100*n + 2682 = 3*a, -4*n - a + 5374 = 0. Calculate the highest common factor of n and 2184.
168
Let n be 2/2 + (-41 - -2). Let a = n - -62. Suppose 562 = -9*u + 2*u + 646. Calculate the greatest common divisor of a and u.
12
Suppose 126*i - 131*i - 70 = 0. Let x(c) = c**3 + 13*c**2 - 15*c + 12. Let k be x(i). Calculate the highest common factor of k and 26.
26
Let u be 6*((-96)/(-432))/(2/12). Suppose z - 27 = 29. What is the highest common divisor of z and u?
8
Suppose 5*p - 2438 = 4*g, -26*p + 25*p - 3*g = -499. Calculate the highest common divisor of 30 and p.
10
Let t(p) = -p**3 + 7*p**2 + 69*p - 27. Let d be t(7). Calculate the highest common factor of d and 1938.
114
Suppose 3*u + 9384 = 4*w, 72*u = w + 68*u - 2333. What is the highest common factor of 29 and w?
29
Let j = 406 + -237. Let d be j/338*-8*(-1 + -6). Calculate the highest common divisor of d and 364.
28
Suppose -137*m - 265*m - 1546467 + 13675209 = 0. What is the greatest common factor of m and 267?
267
Suppose 55*j = -80*j + 2025. Let l(g) = 33*g**2 - 1. Let u be l(-1). Suppose -23*s + u = -j*s. Calculate the highest common factor of 4 and s.
4
Let p(r) = -r**2 + 10*r + 3. Let b be p(9). Suppose -10*q = -38 - b. What is the highest common divisor of q and 15?
5
Suppose -25*g - 88 = -2238. Calculate the highest common factor of g and 4214.
86
Let l(r) = 12*r + 2. Suppose 2*a - 2 = -4*y, -2*y + 7 = -3*y + a. Let h be l(y). Let j = 42 + h. Calculate the greatest common factor of 80 and j.
20
Let u(a) = -4*a**2 - 117*a - 554. Let l be u(-23). Calculate the highest common factor of l and 15897.
21
Let u be (6 + -2)/(2/122). Let f = u + -239. Calculate the highest common factor of f and 25.
5
Let m = -3469 + 3535. What is the highest common factor of 5896 and m?
22
Suppose -1276 = -28*h + 96. Suppose 2*m + 2*v - 43 - h = 0, -3*v + 234 = 5*m. What is the greatest common factor of 624 and m?
48
Let g be (1 - (-2)/(-6))*4320/64. What is the highest common divisor of g and 345?
15
Let k be (-88)/11 - 8/(-2). Let a = k + 132. What is the highest common divisor of a and 4?
4
Suppose 27*m + 4*m - 786 - 1074 = 0. Let y = 2025 - 1395. What is the highest common factor of m and y?
30
Let f be ((144/14)/1)/((-3)/(-14)). Let g = -44 + f. Suppose -t - 57 = -g*t. Calculate the highest common divisor of t and 76.
19
Suppose 0 = -d - 2*b + 28 + 7, 3*d + 2*b = 117. Suppose -44*y = -d*y - 9. What is the highest common factor of 24 and y?
3
Suppose 0*s + s = 2*c - 69, -c - 4*s = -12. Let k = -12013 + 12057. Calculate the highest common divisor of k and c.
4
Let h(x) = 14*x + 9. Let f be h(-8). Let y = 101 + f. Let a be -17*y*4/8. What is the highest common divisor of 17 and a?
17
Suppose -k + 6*k = -3*g - 32, -5*g - 16 = -k. Let c be g/(-16) + ((-1548)/(-16) - -3). Let l = -82 + c. What is the highest common factor of 54 and l?
18
Suppose 2*m + 29 + 53 = 2*s, 4*s - 2*m - 160 = 0. Calculate the highest common divisor of s and 429.
39
Let s(n) = -42*n - 16. Let q be s(-3). Let i be ((-28)/(-12))/((-2)/66). Let z = i + q. Calculate the greatest common divisor of 3 and z.
3
Let q be 626 + 30 + (23 - 33). Calculate the greatest common divisor of 952 and q.
34
Let d be (-768)/3*(-10)/8. Suppose 19*x = 25*x - 768. Calculate the highest common divisor of x and d.
64
Suppose 17*c - 60203 + 240747 = 108*c. Calculate the highest common divisor of 186 and c.
62
Let b = -1624 + 1684. What is the highest common divisor of 735 and b?
15
Let k = 2 + 2. Let c be (-900)/(-63) + k/(-14). Let v(w) = -w**2 - 391*w - 1923. Let u be v(-5). Calculate the greatest common divisor of u and c.
7
Suppose 4*f + 4*f = 32. Suppose 2*a + 6 + f = 0. Let c be 20 - (20/a + 4). What is the highest common divisor of c and 160?
20
Let r = 5983 + 2137. What is the greatest common divisor of 20 and r?
20
Let d = -150 + 456. Suppose -173*s = -182*s + d. What is the highest common factor of 578 and s?
34
Let r(i) be the second derivative of 20*i + 4*i**2 + 0 - 1/12*i**4 + 8/3*i**3. Let o be r(8). What is the highest common factor of o and 180?
36
Let c be (-24)/(-1) - (2 - 1). Let j be 256 - ((-15)/25 - 18/(-5)). What is the highest common divisor of c and j?
23
Suppose a + 58 = 6*l - l, 0 = 4*a + 12. Suppose -1378 = -l*r - 421. What is the greatest common factor of 29 and r?
29
Let t(l) = l**2 + 29*l - 18. Let v be t(-30). Let g = 15 - -3. What is the highest common divisor of g and v?
6
Suppose 31720 = -1149*i + 1162*i. Calculate the greatest common divisor of 20 and i.
20
Let h = 19 - -65. Suppose -5256 = -256*d + 37*d. Calculate the highest common factor of d and h.
12
Let c = -116 - -328. Let s = 278 - c. What is the highest common divisor of 44 and s?
22
Suppose -105*b + 507 - 24 = -98*b. What is the highest common divisor of b and 13593?
69
Suppose 3*v - 8*v + 110 = 0. Suppose 12*y - 3*m - 883 = 7*y, 876 = 5*y + 4*m. What is the highest common divisor of y and v?
22
Let r = 32845 + -32818. What is the highest common divisor of r and 2979?
9
Suppose 4*s - 16 = -2*b, 5*b - 8 = -s - s. Let z(x) = x + 38. Let r be z(b). Let k be r*(0 - (7/(-2))/7). Calculate the highest common divisor of k and 209.
19
Let v(s) = s**3 - 8*s**2 + 3*s - 14. Suppose 44*g - 56 = 36*g. Let w be v(g). Let m = w + 114. Calculate the greatest common factor of 8 and m.
8
Let j = -13846 - -13946. Calculate the highest common factor of 175 and j.
25
Let m = -137 + -306. Let z = m - -458. What is the greatest common divisor of 15 and z?
15
Let r = 404 + -182. Suppose -472*n - 9176 = -596*n. Calculate the greatest common divisor of n and r.
74
Let m = 26872 - 21911. Calculate the highest common divisor of m and 82.
41
Suppose -2*b = 2 - 0. Let n(m) = 714*m**2 - 2*m - 2. Let o be n(b). Let u be (o/(-147))/(2/(-14)). Calculate the highest common factor of u and 51.
17
Let r = 16446 + -16366. Calculate the highest common divisor of 3580 and r.
20
Suppose 4*h = h + z + 34, -2*h + 36 = 2*z. Suppose -2*n + 21 = h, 3*s - 4*n - 83 = 0. Calculate the highest common divisor of s and 33.
33
Let c(a) = 1091*a + 11. Let t be c(1). Suppose -23*n - 90 + t = 0. Let g(o) = -2*o. Let j be g(-2). What is the greatest common divisor of n and j?
4
Let c(q) = -q**3 + 8*q + 7. Let y be c(5). Let g be y*((-31)/6 - -5). Calculate the highest common factor of 143 and g.
13
Let g be (16/(-4) - 4) + (-40)/(-2). What is the greatest common divisor of 1668 and g?
12
Let f = -53 - -74. Suppose -3*i - f + 15 = 0. Let n(t) = -21*t - 9. Let y be n(i). Calculate the h | {
"pile_set_name": "DM Mathematics"
} |
t y be k(-4). Let q = 12 - y. Factor 1/2*j + j**2 + 2*j**q - 7/2*j**3 + 0.
j*(j - 1)**2*(4*j + 1)/2
Let c(f) be the first derivative of -2*f**3/27 + 4*f**2/9 + 8*f/3 - 34. Suppose c(d) = 0. Calculate d.
-2, 6
Let i(y) be the first derivative of 3/20*y**6 + 3 + 3/5*y**5 + 3*y**2 + 0*y**3 + 1/70*y**7 + y**4 + 0*y. Let f(o) be the second derivative of i(o). Factor f(w).
3*w*(w + 2)**3
Let m(s) be the third derivative of s**3 + 0*s - 1/18*s**4 + 0 - 12*s**2 - 1/270*s**6 + 1/45*s**5. Let u(h) be the first derivative of m(h). Factor u(k).
-4*(k - 1)**2/3
Let z be (-129)/15 + (0 - 4/10). Let w be (-5 + 5)/(1/(3/z)). Factor w + 1/2*y**2 + y**3 - 1/2*y**4 - y.
-y*(y - 2)*(y - 1)*(y + 1)/2
Factor 0 + 2/15*s**3 + 128/15*s - 32/15*s**2.
2*s*(s - 8)**2/15
Let z be (-4802)/147 + 2/(-6) + -1. Let a be z/(-6) + (-2 - 3). Solve -a + 4/9*x + 2/9*x**2 = 0 for x.
-3, 1
Let c(v) = v**2 - v - 12. Let i be c(5). Suppose 2*o - i = -2. Factor 0 - 2/11*r**o + 4/11*r - 2/11*r**2.
-2*r*(r - 1)*(r + 2)/11
Let h be 0 + (-3)/(-5 - -2) + 2. Factor 84*c**5 + 939*c**4 - 887*c**4 - 6*c**3 + 14*c**h.
4*c**3*(3*c + 1)*(7*c + 2)
Let n(l) be the first derivative of l**4/12 + 8*l**3/9 + 8*l**2/3 + 182. Solve n(o) = 0.
-4, 0
Let y(p) = 7*p**2 + 7*p + 36. Let a(m) = -30*m**2 - 30*m - 145. Let c(t) = 6*a(t) + 25*y(t). Factor c(h).
-5*(h - 2)*(h + 3)
Suppose 8*s - 7*s + 2 = 0. Let p be 24/(-15) - (s - 1) - 1. Let -p + y**2 - 3/5*y = 0. What is y?
-2/5, 1
Let j(c) be the first derivative of 0*c + 1/15*c**3 - 1/10*c**2 - 5. Solve j(f) = 0 for f.
0, 1
Determine l, given that 4*l**2 - 10*l**3 - 5*l**4 + 5*l + 9*l**2 - 15 + 5*l + 7*l**2 = 0.
-3, -1, 1
Let d(f) = 120*f**2 + 5979*f + 5994. Let o(q) = 9*q**2 + 460*q + 461. Let a(t) = -2*d(t) + 27*o(t). Let a(p) = 0. What is p?
-153, -1
Let o be 4/6 + 12/9. Suppose 0 + 162*k**o - 6*k**3 + 6*k + 4*k**4 - 9 - 7*k**4 - 150*k**2 = 0. What is k?
-3, -1, 1
Suppose -2*i - l + 6 = 0, -1 = -l - 3. Suppose -i*t + 3*o = -27, -2*o + 10 = 4. What is p in -3*p - 3*p**4 - t*p + 4*p**3 + 5*p**3 = 0?
-1, 0, 2
Let s(g) be the second derivative of 7*g**4/48 - 13*g**3/12 - g**2 + g. Factor s(v).
(v - 4)*(7*v + 2)/4
Suppose -35*r = -40*r. Let b(p) be the first derivative of -1/21*p**3 + 1 + 1/28*p**4 - 1/42*p**6 + r*p**2 + 0*p + 1/35*p**5. Determine a so that b(a) = 0.
-1, 0, 1
Let j = 20/1771 - -3482/5313. Factor 0 - 4*h**2 - j*h**3 + 0*h.
-2*h**2*(h + 6)/3
Find f such that -224*f**2 + 454*f**2 - 220*f**2 - 185 + 365*f = 0.
-37, 1/2
Let c(k) = -k + 11. Let v(z) = -3*z + 21. Let s(q) = -5*c(q) + 2*v(q). Let y be s(-13). Find w, given that 0 + 2/7*w - 2/7*w**3 + y*w**2 = 0.
-1, 0, 1
Suppose -32/7 + 20/7*l**3 + 80/7*l - 2/7*l**4 - 66/7*l**2 = 0. Calculate l.
1, 4
Let v(r) be the first derivative of r**6/2880 - r**5/240 + r**4/64 - 9*r**3 + 48. Let j(k) be the third derivative of v(k). Factor j(h).
(h - 3)*(h - 1)/8
Let w be ((-95)/(-76) - 18) + 17. Let w*t**2 - 3/4*t + 0 = 0. What is t?
0, 3
Let v be ((-24)/462)/(124/(-868)). Factor -6/11*h - v - 2/11*h**2.
-2*(h + 1)*(h + 2)/11
Let n(v) = -v**4 - 53*v**3 - 89*v**2 + 45*v + 90. Let m(a) = a**4 + 108*a**3 + 179*a**2 - 90*a - 180. Let j(r) = 4*m(r) + 9*n(r). Determine f so that j(f) = 0.
-6, -3, -1, 1
Let o(g) = -3*g**5 + 9*g**4 + 3*g**3 - 21*g**2 - 3*g + 9. Let h(m) = m**3 + m**2. Let f(k) = 3*h(k) + o(k). Suppose f(z) = 0. Calculate z.
-1, 1, 3
Let j(x) be the third derivative of x**6/240 + 13*x**5/12 + 4225*x**4/48 - 228*x**2 - 1. Factor j(c).
c*(c + 65)**2/2
Let i(s) = s**3 + 4*s**2 - 7. Let n be i(-3). Let j be n/(-6) - 9/((-81)/6). Suppose -j*c**2 - 2/3 - c = 0. What is c?
-2, -1
Let a = -23 + 28. Factor -4*i**4 + 9*i**4 - 10*i**2 + 8*i - 5*i**5 - 3*i + a*i**4.
-5*i*(i - 1)**3*(i + 1)
Factor -2/5*i**4 + 2/5*i + 0 + 2/5*i**2 - 2/5*i**3.
-2*i*(i - 1)*(i + 1)**2/5
Let f(s) be the third derivative of s**5/12 + 5*s**4/2 - 70*s**3/3 - s**2 + 40. Determine n, given that f(n) = 0.
-14, 2
Let j be (16/6)/(2/6). Suppose j = 2*a + 2*a. Solve -49*o + o**2 + o**a + 45*o + 0*o**2 = 0.
0, 2
Let o = -345/8 + 46579/1080. Let y(t) be the third derivative of 14*t**2 - 4/27*t**3 + 0*t - o*t**5 - 5/108*t**4 + 0. Factor y(z).
-2*(z + 1)*(z + 4)/9
Let -22/3*m + 1/6*m**2 - 15/2 = 0. What is m?
-1, 45
Suppose 3*u + 12 = 5*u. Let h be 2*9/u + 1. Suppose t**3 + t**5 + 4*t**3 + 2*t**4 - h*t**3 = 0. Calculate t.
-1, 0
Let a(x) be the third derivative of -2*x**2 + 0*x**5 - 2/27*x**3 + 0 - 1/540*x**6 + 1/36*x**4 + 0*x. Solve a(m) = 0.
-2, 1
Let j be (-4 + 0)*(-3)/(-40)*-4. Let n be (9 - 2) + (-164)/41. Suppose -6/5 - 3/5*k**n + 3/5*k + j*k**2 = 0. What is k?
-1, 1, 2
Let i(j) be the second derivative of -1/3*j**3 - 3/4*j**2 - 6*j - 1/24*j**4 + 5. Factor i(t).
-(t + 1)*(t + 3)/2
Solve -209*n**3 + 13*n**2 - 6*n + 217*n**3 - 2*n**5 + 4 - 17*n**2 = 0 for n.
-2, -1, 1
Let m(q) be the first derivative of -q**6/48 + q**4/16 - q**2/16 + 42. Factor m(i).
-i*(i - 1)**2*(i + 1)**2/8
Determine t so that 3*t - 18*t + 36*t**2 - t = 0.
0, 4/9
Let k(g) be the second derivative of -9*g + 1/8*g**4 + 0 - 1/2*g**3 + 0*g**2. Determine h so that k(h) = 0.
0, 2
Let m(n) = -8*n**4 + 2*n**3 - 6*n**2 + 6*n + 6. Suppose 4*o = 8 - 0. Let x(s) = s**o - 1 + s**4 - 4*s + 3*s + 0*s. Let d(l) = m(l) + 6*x(l). Factor d(z).
-2*z**3*(z - 1)
Let y(a) = 6*a**2 - 2*a. Suppose -4*u + 32 = 3*p, 0 = 2*p - 7*p + 3*u + 5. Let d(j) = -5*j**2 + 2*j. Let x(i) = p*y(i) + 5*d(i). Factor x(k).
-k*(k - 2)
Let m(z) be the second derivative of -z**6/195 - z**5/13 - 6*z**4/13 - 56*z**3/39 - 32*z**2/13 + 61*z. Determine f so that m(f) = 0.
-4, -2
Let b(q) = -8*q + 27. Let f be (-8)/(-40) + 14/5. Let y be b(f). Factor 1/7*l**y - 1/7 + 1/7*l**2 - 1/7*l.
(l - 1)*(l + 1)**2/7
Let i(c) = 0*c**2 + 8*c**2 - 14*c - 2*c**3 - 4*c**2. Let q(w) = w**2 - w. Let n(j) = i(j) - 10*q(j). Factor n(r).
-2*r*(r + 1)*(r + 2)
Let s(g) be the third derivative of -g**8/1344 + g**6/120 + g**5/120 - g**4/32 - g**3/12 + 3*g**2 + 15. Let s(h) = 0. Calculate h.
-1, 1, 2
Let d(k) be the first derivative of k**5/60 + k**4/72 - k**3/9 - 14*k**2 - 13. Let p(c) be the second derivative of d(c). Factor p(w).
(w + 1)*(3*w - 2)/3
Let i(z) be the third derivative of z**6/30 - 7*z**5/3 - 76*z**4/3 - 104*z**3 - 733*z**2. Factor i(b).
4*(b - 39)*(b + 2)**2
Factor -27/2 + 1/2*l**4 + 18*l - 3*l**2 - 2*l**3.
(l - 3)**2*(l - 1)*(l + 3)/2
Let 25881*t**3 + 3*t**2 + 3*t**5 - 21*t**2 - 24*t**4 - 25842*t**3 = 0. Calculate t.
0, 1, 6
Factor -12*s**2 + 100*s - 4*s**2 + 20*s**2 - 32*s + 32*s.
4*s*(s + 25)
Suppose 6*i = 14 + 28. Factor 9*x**2 + 3*x**4 + i*x**3 - 21*x**3 - x**3 + 3*x**5.
3*x**2*(x - 1)**2*(x + 3)
Find x such that 14*x - 126*x**2 - 3 - 11 + 258*x**2 - 2 - 130*x**2 = 0.
-8, 1
Let o(b) be the third derivative of b**5/60 - 37*b**4/12 + 1369*b**3/6 + 93*b**2. Factor o(l).
(l - 37)**2
Factor -2*x + 20*x + x**2 - 54 + 0*x**2 + 5*x**2 - 2*x**3.
-2*(x - 3)**2*(x + 3)
Let x(p) = -4*p**3 + 8. Let h(j) = j**3 - j**2 - j - 1. Let r(v) = 3*h(v) + x(v). Let y(u) be the first derivative of r(u). Factor y(b).
-3*(b + 1)**2
Let h(j) = -193*j - 1737. Let d be h(-9). Factor -3*s**2 - 3*s**3 - 3/4*s**4 + 0*s + d.
-3*s**2*(s + 2)**2/4
Let 1/5*u**4 + 5*u + 0 + 7*u**2 + 11/5*u**3 = 0. Calculate u.
-5, -1, 0
Factor 75/2*x**3 + 0 - 6*x + 0*x**2.
3*x*(5*x - 2)*(5*x + 2)/2
Determine c so that -4*c**2 - 144/7 - 120/7*c - 2/7*c**3 = 0.
-6, -2
Let j be (-88)/(-24) + (-4)/6. Factor w**2 + w**4 + w**5 + 0*w**j - w**3 - 2*w**2.
w**2*(w - 1)*(w + 1)**2
Let c(h) = -6*h - 9. Let i be c(-2). Solve w**5 - w**2 - 2*w**2 - 3*w**i + 2*w**5 + 3*w**4 = 0 for w.
-1, 0, 1
Let 8192/7 + 0*r**3 + 0*r - 256/7*r**2 + 2/7*r**4 = 0. Calculate r.
-8, 8
Let k(t) be the third derivative of t**7/105 - 2*t**6/15 + t**5/2 + t**2 + 6*t. Suppose k(h) = 0. Calculate h.
0, 3, 5
Suppose -3*g - 27*p + 31*p - 12 = 0, -9 = g - 3*p. Solve 8/7*a - 2/7*a**5 + 8/7*a**2 - 6/7*a**3 - 8/7*a**4 + g = 0.
-2, -1, 0, 1
Let f(u) = u**3 + 3*u**2 + 7*u - 3. Let w(g) = -3*g**2 - 6*g + 3. Suppose 3*j - 4 + 16 = 0. Let y(z) = j*w(z) - 3*f(z). Let y(i) = 0. Calculate i.
-1, 1
Let o(k) be the first derivative of k**3/27 - 22*k**2/9 + 484*k/9 - 187. Solve o(y) = 0 for y.
22
Let c be 32/(-18)*279/(-310). Factor 4/5*z**2 + 2/5*z**3 + c - 14/5*z.
2*(z - 1)**2*(z + 4)/5
Let y(b) be the third derivative of -2/15*b**3 + 0 | {
"pile_set_name": "DM Mathematics"
} |
7*l - 126. Let j be q(6). Let t(k) = -1218 - 1218 + j - k. Let v(g) = -48*g**2. Determine t(v(x)).
48*x**2
Let r(g) = 2*g - 23. Let t(m) = 549778*m. Give r(t(x)).
1099556*x - 23
Let w(g) = 17*g. Let n(q) = 10*q**2. Let s(i) = 9*i**2. Suppose 0 = 15*k + 6*k + 63. Let b(z) = k*n(z) + 4*s(z). Determine w(b(d)).
102*d**2
Let u(g) = -18*g + 824. Let f(p) = 602*p. Calculate u(f(q)).
-10836*q + 824
Let g(p) be the second derivative of -87*p**3/2 - 3*p**2/2 + 4*p - 234. Let m(l) = -4*l**2. What is m(g(x))?
-272484*x**2 - 6264*x - 36
Let f(c) = 9*c. Let k be (4752/(-90))/(3/(-10)). Let w(a) = a**2 - a + 85. Let z be w(0). Let y(s) = z + 91 - k + 8*s. What is y(f(i))?
72*i
Let q(c) be the third derivative of 17*c**4/24 + 75*c**2 + 2*c + 100. Let u(l) be the second derivative of l**4/4 - l. Give q(u(y)).
51*y**2
Let h(y) = -72512963*y. Let i(d) = -d**2. What is i(h(k))?
-5258129803039369*k**2
Let f(m) = -3*m - 5*m - 639 - 4*m + 641 - m. Let j(a) = -27*a**2. Determine j(f(g)).
-4563*g**2 + 1404*g - 108
Let v(r) be the second derivative of -r**6/720 - 4*r**4/3 + 56*r + 1. Let s(y) be the third derivative of v(y). Let b(u) = 6*u**2 + 17*u. Calculate s(b(a)).
-6*a**2 - 17*a
Let z(u) = 272*u. Let w(s) = -425*s**2 + 105. What is w(z(k))?
-31443200*k**2 + 105
Let p(b) = 104*b. Let q(w) = 5*w**2 + 6178*w - 1. What is q(p(y))?
54080*y**2 + 642512*y - 1
Let m(h) = -h**2 - h + 1. Let v(t) = 7*t - 2 - 8 - 5 - 10 + 18. Let z = 1 - 0. Let j(d) = z*v(d) + 7*m(d). Let q(u) = 8*u. Calculate q(j(n)).
-56*n**2
Let w(b) = 7*b**2. Let c(o) = -287*o + 7. Let h(f) = 143*f - 3. Let t(k) = 3*c(k) + 7*h(k). Calculate w(t(p)).
137200*p**2
Let j(k) = 12*k**2. Let c(i) be the second derivative of -i**5/60 - 23*i**2 + 25*i. Let o(z) be the first derivative of c(z). Calculate o(j(m)).
-144*m**4
Let f(a) = -a**3 - 5*a**2 - 20*a - 150. Let c be f(-6). Let i(w) = 6440 - 6440 - 27*w**2 - c*w. Let z(p) = -2*p**2. Determine i(z(r)).
-108*r**4 + 12*r**2
Let g(q) = -41*q - 3. Let p(i) be the first derivative of i**3 - 543. Calculate g(p(z)).
-123*z**2 - 3
Let f(n) = -2*n. Let o(p) be the second derivative of 1061*p**4/6 - 11*p + 74. What is o(f(d))?
8488*d**2
Let z(c) be the second derivative of 0*c**3 + 1/4*c**4 - 25*c + 0 + 0*c**2. Let p(i) = -2*i**2 + 33 - 33. What is z(p(b))?
12*b**4
Let q(o) = -12*o**2. Let f(y) = 1942 + 2015 - 3957 - 164*y**2. Determine q(f(h)).
-322752*h**4
Let h(w) = -w**2. Let u(q) = -2*q + 5. Let g(a) = 9*a - 256. Let b(o) = 2*g(o) + 10*u(o). Give h(b(s)).
-4*s**2 - 1848*s - 213444
Let f(a) = 2*a**2. Let d(v) = -2166328*v. Calculate f(d(z)).
9385954007168*z**2
Suppose 0 = -106*w + 113*w - 861. Let z(j) = 248*j**2 - 126*j**2 - w*j**2. Let n(l) be the third derivative of l**4/2 - l**2. Calculate n(z(x)).
-12*x**2
Let v(p) = -241*p. Let t(h) = -310*h**2 - 553*h. Give v(t(x)).
74710*x**2 + 133273*x
Let y(p) = -196*p + 272. Let c(x) = -x + 2. Determine c(y(u)).
196*u - 270
Let y(h) = -2*h**2. Suppose -5*p + i = -10*p + 28995, -2*p + 4*i + 11620 = 0. Let k(o) = -p*o + 5800*o - 80*o**2. Determine y(k(r)).
-12800*r**4
Let y(j) be the first derivative of 4*j**3/3 + 23*j**2/2 + 2230. Let c(m) = -9*m**2. Calculate y(c(s)).
324*s**4 - 207*s**2
Let l be (1/12 + 0)/((-1071)/(-4284)). Let p(b) be the second derivative of 0 + 44*b + 0*b**2 + l*b**3. Let t(r) = -37*r. Determine p(t(i)).
-74*i
Let n(y) be the second derivative of 25*y**4/4 - 2768*y. Let k(z) = 11*z**2 - 3. Calculate k(n(f)).
61875*f**4 - 3
Let b(u) be the first derivative of 107*u**2/2 - 811. Let a(j) = -2*j + j + 2*j. What is b(a(o))?
107*o
Let w = 137 - 123. Suppose f - w*x + 10*x = 79, 0 = 3*f + 4*x - 317. Let y(m) = f*m**2 + 132*m - 132*m. Let h(l) = -2*l. Determine y(h(j)).
396*j**2
Let n(f) = 8*f**2. Let z(j) = -46*j - 14. Let l(m) = -504*m - 160. Let p(k) = 2*l(k) - 23*z(k). Calculate n(p(r)).
20000*r**2 + 1600*r + 32
Let j(s) = -104*s. Let a(u) = -688*u**2 + 7*u + 1. Give a(j(b)).
-7441408*b**2 - 728*b + 1
Let a(n) = 9*n + 5*n - 7*n. Let o(q) be the first derivative of 31*q**2/2 + 68392. Give a(o(r)).
217*r
Let q(j) = -11*j - 1. Suppose -87 + 77 = -5*l. Let k(y) = -l*y**2 - y**2 - 5 - 7 + 12. Calculate k(q(d)).
-363*d**2 - 66*d - 3
Let s(r) = 193*r. Let c(q) = -3*q**3 - 14*q**2 - 35*q - 3. Let d be c(-7). Let b(v) = d - 585 - v. Calculate s(b(y)).
-193*y
Let m(t) be the first derivative of -25*t**3/3 + 2481. Let r(g) = -8*g - 9. What is m(r(d))?
-1600*d**2 - 3600*d - 2025
Let b(a) = -8*a**2. Let c(j) = -31 + 443*j**2 - 882*j**2 + 437*j**2. Determine b(c(q)).
-32*q**4 - 992*q**2 - 7688
Let f(p) be the first derivative of 9 + p**2 + 0*p**3 + 1/60*p**5 + 0*p**4 - 2*p. Let z(u) be the second derivative of f(u). Let d(q) = -6*q. What is d(z(y))?
-6*y**2
Let l(h) = -36981987*h**2. Let x(b) = b. Give l(x(v)).
-36981987*v**2
Let w(t) be the second derivative of -3*t**3 + 13*t. Let x(o) be the third derivative of -7*o**5/60 - 26*o**2 - 2*o. Calculate w(x(c)).
126*c**2
Let g(m) = 205*m + 369*m - 573*m. Let r(c) = 6*c**2 + 291*c. What is g(r(t))?
6*t**2 + 291*t
Let x(d) = -d. Let l(f) = -299*f**2 + 918*f**2 - 302*f**2 + 939*f**2 + 130*f**2. What is l(x(u))?
1386*u**2
Let x(h) = 2*h**2. Suppose 4*s - 4*j - 21 - 19 = 0, 0 = -2*s - 2*j + 12. Suppose -s*k = -17*k + 36. Let b(p) = -k*p + p - 3*p. Give b(x(n)).
-12*n**2
Let m(f) = -f. Let a(b) = -9*b. Let j(x) = -5*a(x) + 40*m(x). Let c(p) = -12*p - 99. Let l(d) = 3*d + 22. Let o(s) = 4*c(s) + 18*l(s). Calculate o(j(v)).
30*v
Let o(g) = -9*g - 1. Let q(b) = 2687*b**2 + 1. Determine q(o(l)).
217647*l**2 + 48366*l + 2688
Let v(k) be the second derivative of -2*k**3 + 0 + 1/2*k**2 + 37*k. Let r(q) = 3*q**2. Calculate r(v(b)).
432*b**2 - 72*b + 3
Let d = -27 + 37. Suppose 0 = 8*o - d*o + 28. Let a(r) = -o - 8 - r**2 + 22. Let p(f) = -8*f**2. Give a(p(x)).
-64*x**4
Let a(r) be the first derivative of r**5/60 - 19*r**4/24 - 33*r**3 + 59. Let d(g) be the third derivative of a(g). Let m(p) = 2*p**2. Determine d(m(u)).
4*u**2 - 19
Let l(b) = -507060*b. Let h(y) = -2*y**2. Give h(l(w)).
-514219687200*w**2
Let y(h) = -1364*h. Let k(w) = 230*w - 8. Let g(r) = -259*r + 9. Let j(z) = -8*g(z) - 9*k(z). Calculate y(j(b)).
-2728*b
Let y(j) = -19*j. Let m(p) = 11675367*p. Give y(m(a)).
-221831973*a
Let l(n) = -8*n**2 - 15*n**2 + 34*n**2. Let d(i) be the second derivative of -i**4/6 + 29*i. Calculate l(d(c)).
44*c**4
Let b(l) = 2*l + 5. Let p(g) be the third derivative of g**4/24 + g**3/2 - 10*g**2 - 4*g. Let d(o) = -6*b(o) + 10*p(o). Let t(i) = 56*i. What is d(t(j))?
-112*j
Let d(o) = 4*o - 53. Let m be d(12). Let p(a) = -a - 10. Let r(h) = -h - 14. Let t(x) = m*r(x) + 7*p(x). Let b(v) = -14*v**2. Calculate t(b(z)).
28*z**2
Suppose 0 = y - 4*y - 3. Let v(c) = -c**2 + 1. Let t(g) = 5*g**2 - 3. Let i(f) = y*t(f) - 3*v(f). Let a(x) = -1 - 3 + 4 + x. What is a(i(z))?
-2*z**2
Let c(m) = 36*m**2. Let d(w) = 632285*w**2. Calculate c(d(l)).
14392235564100*l**4
Let l(u) = -13*u**2 - 8*u**2 + 36*u**2 + 15*u - 6*u**2 - 6*u**2. Let h(x) = 28*x. Calculate h(l(i)).
84*i**2 + 420*i
Let g(k) = 23*k - 45. Let f(h) = 64*h - 126. Let b(d) = 5*f(d) - 14*g(d). Let c(w) = 3*w - 1215. Determine b(c(o)).
-6*o + 2430
Let v(a) = -19*a - 42. Let s(w) = -7*w - 12. Let y(u) = 7*s(u) - 2*v(u). Let m(g) = -36*g + 56*g - 40*g. What is m(y(p))?
220*p
Let c(i) = -i**2. Let b(m) = 102669614*m. Give b(c(u)).
-102669614*u**2
Let j(t) = -7*t**2. Let d be (0*(3 - 60/18))/(-2). Let i(v) be the first derivative of 16 + 1/2*v**2 + d*v. What is j(i(w))?
-7*w**2
Let a(n) = -13*n**2 + 0 + 1 + 2. Let r(z) = 7*z**2 - z - 2. Let k(b) = 41*b**2 - 6*b - 12. Let q(m) = k(m) - 6*r(m). Give a(q(d)).
-13*d**4 + 3
Let r(g) = 26*g**2. Let o(s) = -573*s + 98. Let f(w) = 2673*w - 462. Let b(y) = -7*f(y) - 33*o(y). Give r(b(h)).
1019304*h**2
Let r(t) = -5*t**2 + 5*t + 848. Let a(z) = -7*z + 1. Determine r(a(k)).
-245*k**2 + 35*k + 848
Let t(d) = -1675*d. Let k(h) = 2*h**2 + 4455. Calculate t(k(o)).
-3350*o**2 - 7462125
Let q(s) = s**2. Let a(y) = 2*y - 10 + 7*y - 4*y - y. Let l be a(3). Let j(f) = 11*f**2 + 3 + 12*f**l - 3. Give j(q(i)).
23*i**4
Let t(b) = 40*b**2. Let s(j) = 3*j**2 - 7*j - 8. Let k be s(-1). Let z(n) = 47*n**2 - 1 - 46*n**k + 1. Give t(z(q)).
40*q**4
Let d(t) = -5*t + 22. Let u(n) = -36*n + 165. Let z(b) = -30*d(b) + 4*u(b). Let | {
"pile_set_name": "DM Mathematics"
} |
76) + 0) + 1 + (sqrt(76) - ((1*sqrt(76) - sqrt(76)) + 3)) + 5)*3)**2.
1944*sqrt(19) + 25353
Simplify (5*(0 + 2*((sqrt(1088) - (-1 + sqrt(1088) - sqrt(1088) - sqrt(1088))) + -2 + sqrt(1088) + 0 + sqrt(1088) + -5 + -2)))**2.
-51200*sqrt(17) + 1747200
Simplify ((1*2*sqrt(95) - (sqrt(95) - -5*1*sqrt(95) - sqrt(95)))/((5*sqrt(80)/sqrt(2))/(sqrt(288) - sqrt(288)*-1)))**2.
24624/25
Simplify 4 + 2*(6*(-2 + 2*sqrt(1584) + (sqrt(1584) - (sqrt(1584) + 1))*-6)**2 + 2) + -1.
2304*sqrt(11) + 76231
Simplify (((5*sqrt(44)*2 - sqrt(44)) + sqrt(44))/((sqrt(112)/sqrt(4))/sqrt(7)) + (sqrt(176)*2 - 3*sqrt(704)) + 2)**2.
-24*sqrt(11) + 400
Simplify (((sqrt(162)/sqrt(36))/((sqrt(90)/sqrt(3))/sqrt(10)))/(5*sqrt(3)*-2 - (sqrt(825) + sqrt(33) - sqrt(33) - sqrt(33))/sqrt(11)))**2.
1/392
Simplify (4*(-2 + 2*sqrt(396) + 1)**2 - (5 + (sqrt(396) - 3*(sqrt(396) + 1))**2 + (sqrt(396) - (3 + 0 + sqrt(396)))**2))*-4.
-18932 + 672*sqrt(11)
Simplify (5*(sqrt(95)*-1*-4 + ((sqrt(95) + 2*sqrt(95))*-3 - sqrt(95) - sqrt(95))))/((2*sqrt(120)/sqrt(2))/((-2*sqrt(36))/sqrt(3))).
35*sqrt(19)
Simplify (-3*sqrt(102)*6 - (sqrt(102) - -5*(-3*sqrt(102) + sqrt(102) + sqrt(102) - sqrt(102))))/(sqrt(24)*-3 - (sqrt(726)*2 - sqrt(726))).
9*sqrt(17)/17
Simplify (-4*(sqrt(3744) + 1*sqrt(3744))*-4*-6)/(sqrt(6)/(sqrt(33)/(sqrt(11)*2)) - (sqrt(242)*1 - sqrt(14)/(sqrt(28)/sqrt(4)))).
288*sqrt(13)
Simplify 6*(1 + (sqrt(65) - (sqrt(65)*1*2 + sqrt(65)))/sqrt(5) - -5*sqrt(572)/sqrt(275))**2.
6
Simplify 5*(-5 + ((-2*sqrt(72))**2 + -1 - (2 + sqrt(72)*-1)**2) + ((0 + 1*sqrt(72) + sqrt(72) - sqrt(72)) + 0 + sqrt(72) + sqrt(72)*-1)**2).
120*sqrt(2) + 1390
Simplify (0 + -1*(3 + (sqrt(833) + 0)*-2 + 0))*-3*3.
-126*sqrt(17) + 27
Simplify (-3 + (5*(sqrt(432) + sqrt(432)*1) - sqrt(432)) + 4)**2 + 0 + (sqrt(33) + sqrt(132)/sqrt(36))/(sqrt(77)/(sqrt(7) + sqrt(7) + sqrt(28))).
664*sqrt(3)/3 + 34993
Simplify -3*((1 + sqrt(200) + 1 + sqrt(200))**2 - ((sqrt(200) + 0 + sqrt(200))**2 + 5))*2.
-480*sqrt(2) + 6
Simplify ((-1 + -4*4*(-2 + sqrt(108) + 2 + 3))*-3)**2.
84672*sqrt(3) + 270441
Simplify (sqrt(21)*1*-6)/(6*(sqrt(3)*1 + sqrt(3))) - (-2*sqrt(7) + -2 + sqrt(343) + 2 + sqrt(343))**2.
-1008 - sqrt(7)/2
Simplify (0 + 5 + ((sqrt(13) + -1)*3 + (1 + sqrt(325))**2 + 4)*1)*-4.
-1328 - 52*sqrt(13)
Simplify (4 + ((-1*sqrt(1188) + sqrt(1188) + sqrt(1188))*5)/((sqrt(864) - (sqrt(864) + (sqrt(864) - -1*sqrt(864))))/sqrt(2)) + -3)**2.
-5*sqrt(11)/2 + 291/16
Simplify ((2*sqrt(280)*-2 - sqrt(280) - sqrt(280))/(6*sqrt(72)))/(-1*(sqrt(180) - (-1*(sqrt(180) + sqrt(180)*2) + sqrt(180)))).
sqrt(7)/54
Simplify (sqrt(198)/sqrt(396))/(2*(sqrt(6) + sqrt(24))) - 5*((sqrt(120)/sqrt(4)*-5)/sqrt(10) + -5)**2.
-500 - 8999*sqrt(3)/36
Simplify (4 + sqrt(176) - sqrt(11)*-2*-6 - ((-3*sqrt(121))/sqrt(11) + sqrt(11) - (2 + sqrt(396))))**2.
36
Simplify (((sqrt(252)/(sqrt(4)*-2))/(sqrt(12)/(sqrt(4) + 1*sqrt(4))))/((sqrt(567) - (sqrt(567) + sqrt(567)*-1))/((sqrt(225)/sqrt(5))/sqrt(5))))**2.
1/3
Simplify (-1*(0 + (sqrt(1539) + -6*sqrt(1539)*3 + -3 - (sqrt(1539) + 1 + 4 + -2 + sqrt(1539)*2))))**2.
2160*sqrt(19) + 615636
Simplify (sqrt(209) + 5*3*sqrt(209) - (2*sqrt(209) + sqrt(209))*-1)/(2*-1*sqrt(891)*-4).
19*sqrt(19)/72
Simplify ((-4*1*sqrt(170)*1*5)/((-3*-2*sqrt(80))/((sqrt(56)*1)/sqrt(7)))*2)**2.
6800/9
Simplify ((5 + -2 + sqrt(52) + 5 - (sqrt(4212) - (sqrt(4212) + 1)*-4)) + -5)**2 + -1.
176*sqrt(13) + 100672
Simplify ((sqrt(1800)*4*-5 + sqrt(1800))*1)/(sqrt(110)/(sqrt(77)/sqrt(7) + sqrt(11)) + sqrt(10)*3*-4).
228*sqrt(5)/23
Simplify ((1 + sqrt(13) + -1)*1 - (-2 + sqrt(117) + 0) - ((sqrt(52) + 1)*6 - ((sqrt(117) - sqrt(117)*-2) + 4)))**2.
325
Simplify 2*((sqrt(80)*-1)/sqrt(4) + sqrt(2420)*-1 + sqrt(20))/((((-2*sqrt(40) - sqrt(40)) + sqrt(40))*6)/sqrt(4))*3.
11*sqrt(2)/2
Simplify ((-3*sqrt(54)*-2)/(sqrt(243)*2 + sqrt(3) + (sqrt(3) - (sqrt(36)/sqrt(3) + sqrt(12))/sqrt(4)))*-5)**2.
50
Simplify ((3 + sqrt(108))*5*5)**2 + ((sqrt(168) - (sqrt(168) - (sqrt(168) + -1*sqrt(168) - sqrt(168))))/sqrt(7))/(sqrt(40)/(sqrt(15)/sqrt(3))).
22499*sqrt(3) + 73125
Simplify 1*((sqrt(132) - (sqrt(132) + sqrt(132)*-2)*-5) + sqrt(132)*2*-5)/((6*(sqrt(24) + sqrt(96)/sqrt(4)))/sqrt(2)).
-7*sqrt(11)/6
Simplify -6*(5 + 1 + (5 + 5 + (sqrt(720) - (5 + 2 + sqrt(720) - sqrt(720))) + sqrt(720))**2 + 5).
-17400 - 864*sqrt(5)
Simplify (-5*sqrt(68)*4 + -6*(-4*sqrt(68) + sqrt(68) - sqrt(68)))/(4*(sqrt(196) + sqrt(196)*1)*1).
sqrt(17)/14
Simplify (2*(4 + sqrt(242) + 0 + sqrt(242)) + 4 + 5 + -2*sqrt(242))**2.
748*sqrt(2) + 1257
Simplify (-5*(2*sqrt(99) + sqrt(99) + 4) - (-4 + sqrt(11) - sqrt(11))*-3*-3*-3)**2.
11520*sqrt(11) + 38659
Simplify (-6*sqrt(108)*-5*6 + (sqrt(27)/(sqrt(9) - 4*sqrt(9)) - sqrt(3267)/sqrt(9)))*-3.
-3206*sqrt(3)
Simplify -2*(((sqrt(832) - (sqrt(832) - -5*(sqrt(832) - (sqrt(832) + -1)))) + 3)**2 + sqrt(832) + -1 + 2 + -3 + -1 + sqrt(832))*6 + -3.
-192*sqrt(13) - 15
Simplify (-5 + (sqrt(38)/(sqrt(200) + sqrt(200)*5) - sqrt(57)/((sqrt(21)*-1)/sqrt(7))) + 3)**2.
-61*sqrt(19)/15 + 85099/3600
Simplify ((((3*(1*sqrt(91) - sqrt(91)) - sqrt(91)) + -4*sqrt(91)*-1)/(sqrt(35)/((sqrt(5)*-3 + sqrt(5))*-6 + sqrt(5))))**2 + 3)*-3.
-59328
Simplify -5*(((-2*sqrt(540))/sqrt(10))/((sqrt(288)/sqrt(128))/sqrt(12)))**2 + 1.
-5759
Simplify -2 + (-3 + (2*sqrt(325) + 2 - sqrt(325))*6 + (6*(sqrt(325) + -1) - (sqrt(325) + 1 + sqrt(325) + -1 + sqrt(325))))**2.
270*sqrt(13) + 26332
Simplify -1 + 1 + -2 + sqrt(275) + -2*(-2 + sqrt(275) + (-1*sqrt(275))**2) + 0.
-548 - 5*sqrt(11)
Simplify (-5 + (sqrt(110)/sqrt(160) + -1 - (sqrt(539) + 1 + sqrt(539) + sqrt(539) - sqrt(539))**2*-6) + 5)*-6.
-77646 - 2019*sqrt(11)/2
Simplify ((6*sqrt(720)*5)/sqrt(12))/(5*(sqrt(48)/sqrt(4) + sqrt(12)) - 5*((sqrt(12)*-2 - sqrt(12)) + sqrt(12))).
3*sqrt(5)/2
Simplify ((sqrt(8) + -5 + (2*sqrt(2) - sqrt(2)) + 3)*4 - (sqrt(2592) + 1 + -1 - sqrt(2592)))**2*4.
-768*sqrt(2) + 1408
Simplify (((sqrt(468) + sqrt(468)*2*-4)/(-2*sqrt(192)))/(((sqrt(9) - sqrt(36)/sqrt(4))*-2 - sqrt(9))/sqrt(3)*6))**2.
637/2304
Simplify ((sqrt(1053) + sqrt(1053) + -5 + sqrt(1053))*-3)**2 + -5 + (sqrt(1053) - (5 + sqrt(1053) + -1)) + (-2*sqrt(1053))**2 + 1 + sqrt(1053) + -5.
-2421*sqrt(13) + 89717
Simplify ((sqrt(171)*-4*4 - sqrt(171)) + (sqrt(171) + (sqrt(171) + sqrt(171)*1)*4 - sqrt(171)))/(-5*-2*sqrt(225) - -6*sqrt(225)*-1).
-9*sqrt(19)/20
Simplify (2*(sqrt(2736) - (5 + sqrt(2736) + 1)) - (-1 + (-1*sqrt(2736) + sqrt(2736))**2)*-1)*-6 + -4.
74
Simplify (2*(sqrt(209) - sqrt(209)*4*-1)*5)/((1*sqrt(110)*5 - sqrt(110))/(sqrt(10) - (sqrt(10) + 6*sqrt(10)*1))).
-75*sqrt(19)
Simplify (((2*(-2*sqrt(13)*1 + (sqrt(208) - sqrt(13))*5))**2 - (3 + (6*(sqrt(52) + 2))**2)) + -1)*6.
-1728*sqrt(13) + 40608
Simplify ((-2*sqrt(5100) - sqrt(5100))*6 + (sqrt(5100) - -1*(sqrt(5100)*-1 + sqrt(5100) + sqrt(5100))))/((sqrt(90)/(sqrt(24)/sqrt(4)))/(sqrt(15)/sqrt(48))).
-40*sqrt(17)
Simplify ((-1*sqrt(68)*-6)**2 - (1 + sqrt(68)*2)) + (sqrt(612) + -1 + 1 - (-3*(sqrt(612) + 2))**2) + -4.
-3101 - 214*sqrt(17)
Simplify 6*(4 + sqrt(21)/sqrt(3) + -5)**2 - (-5 + (1*1*sqrt(77) - sqrt(77))/sqrt(11)).
-12*sqrt(7) + 53
Simplify 2*(-3*-6*sqrt(684) + 2 + -5*(-5 + 2*-3*sqrt(19)))**2.
14904*sqrt(19) + 725130
Simplify (-4*-1*sqrt(136) - -5*(sqrt(136)*-2 + sqrt(136)))/(4*(sqrt(968) - sqrt(968)*2) + (1*sqrt(968)*6 - sqrt(968))).
-sqrt(17)/11
Simplify 3*(-1*sqrt(225)*-5)/(2*sqrt(36)/(sqrt(12)*2))*-1.
-75*sqrt(3)
Simplify (sqrt(240)/(sqrt(10) + sqrt(30)/sqrt(3)))/(sqrt(12) + 3*(sqrt(12) - sqrt(192))) + (1*(1 + -5 + sqrt(200)))**2.
-1281*sqrt(2)/16 + 216
Simplify (4*-1*(2*sqrt(1539)*1*-4 + -6*sqrt(1539)*-1 + sqrt(1539) + -3 + sqrt(1539)*2))**2 + -2.
-864*sqrt(19) + 24766
Simplify (-5*(-4 + (1*sqrt(405)*2 - 2*sqrt(405)*-4)))**2*-6 + -3.
-6077403 + 108000*sqrt(5)
Simplify (((sqrt(10) - sqrt(640)) + sqrt(10))*1 + (sqrt(1000) - sqrt(1000)*-1) + sqrt(1000))/(sqrt(20)/sqrt(16) - (sqrt(10)/sqrt(2)*-5 - sqrt(5))).
48*sqrt(2)/13
Simplify ((-3*(-1 + sqrt(304))*3 - (-4 + (sqrt(190)/sqrt(160) - (sqrt(304) + 0))))**2 + 5)*5.
-8385*sqrt(19)/2 + 1594815/16
Simplify (-4 + sqrt(2299) + sqrt(2299)*-4 + sqrt(2299) + -2 + -4 + 4 + -1)**2.
308*sqrt(19) + 9245
Simplify (-5*3*sqrt(119)*-2*-3)/(-5*sqrt(14)/sqrt(2) - sqrt(35)/sqrt(245)).
35*sqrt(17)/2
Simplify ((1*sqrt(88)*2)/(sqrt(72) - sqrt(72)*-1) - (-3*sqrt(11) + 4 + -5 | {
"pile_set_name": "DM Mathematics"
} |
-39409304 divided by 38942
-1012
Divide 76700832 by 8528.
8994
What is -8822656 divided by -16?
551416
8431161 divided by 2
8431161/2
Divide -1529371 by -90.
1529371/90
Divide 843 by 3100.
843/3100
What is -3474391 divided by 84?
-3474391/84
Calculate -272366691 divided by -272366691.
1
Divide 21 by -43967178.
-7/14655726
295 divided by 20443
295/20443
Calculate 748817100 divided by 265068.
2825
Divide -448832580 by 14370.
-31234
17191332 divided by -3
-5730444
What is 414887957 divided by -2?
-414887957/2
10796370 divided by -3
-3598790
Calculate -296175 divided by 334.
-296175/334
What is -9458278 divided by -6?
4729139/3
What is -2464902 divided by 18?
-136939
What is -1631 divided by -130697?
233/18671
12 divided by 4053853
12/4053853
Calculate 107318836 divided by -3.
-107318836/3
-4420210 divided by 884042
-5
4 divided by -9693875
-4/9693875
Calculate -30735301 divided by 6.
-30735301/6
What is -331202030 divided by -659765?
502
What is 1061460078 divided by -11802?
-89939
-4102292 divided by 124
-33083
Calculate 23 divided by 1911103.
23/1911103
Calculate 3272 divided by 274.
1636/137
What is 691 divided by -3122?
-691/3122
Divide 522 by -52723.
-522/52723
Calculate 4822 divided by -15028.
-2411/7514
Calculate -8 divided by -2021268.
2/505317
86561332 divided by 52
1664641
175 divided by -6789
-175/6789
What is -5965 divided by 1596?
-5965/1596
What is -60361902 divided by -9?
6706878
-2359791466 divided by 2
-1179895733
What is 1690 divided by 11050?
13/85
Divide 5 by -13623744.
-5/13623744
What is 222 divided by 7182296?
111/3591148
Divide -2435867 by 2.
-2435867/2
What is 3 divided by -40693431?
-1/13564477
What is -12035643 divided by 1227?
-9809
Calculate 619653452 divided by 8044.
77033
Divide 109245755 by -3767095.
-29
Divide 14644744 by -1830593.
-8
What is -79 divided by -222421?
79/222421
Calculate -285016340 divided by -4.
71254085
79579712 divided by -19894928
-4
Calculate -25704795 divided by -12085.
2127
Calculate 95131773 divided by 120879.
787
Divide -40180843 by 7123.
-5641
Divide -557843735 by 5.
-111568747
-5070055 divided by 95
-53369
Calculate 6016 divided by 32463.
6016/32463
-7943096 divided by 1127
-7048
What is 1 divided by -12809478?
-1/12809478
Calculate -29 divided by 210879.
-29/210879
Divide 111190266 by -37063422.
-3
What is -1 divided by -806337?
1/806337
Calculate -35847 divided by 62994.
-11949/20998
Divide 166837216 by 64766.
2576
831418 divided by -4
-415709/2
2778 divided by -26258
-1389/13129
43254 divided by -3
-14418
What is 71784580 divided by -14356916?
-5
Divide 38463904 by -5.
-38463904/5
Divide -154049403 by -3.
51349801
Calculate 12399240 divided by 309981.
40
What is -204014676 divided by 2?
-102007338
-61141242 divided by 30570621
-2
What is 68371603 divided by 2?
68371603/2
Divide 152469668 by 884.
172477
Calculate 8515464 divided by -3.
-2838488
Calculate -1860490 divided by -372098.
5
-4020314 divided by 2010157
-2
546944 divided by -40
-68368/5
Calculate -3399 divided by 237.
-1133/79
12931797 divided by 12931797
1
Calculate -3791975 divided by 758395.
-5
What is 3815514 divided by 74?
51561
Calculate -735442732 divided by 5.
-735442732/5
3 divided by 2073167
3/2073167
Divide -283253 by 125.
-283253/125
Divide 140129028 by 323.
433836
364458698 divided by 2
182229349
What is -735041207 divided by -5?
735041207/5
Divide -38988768 by -2436798.
16
-217166 divided by -8
108583/4
Calculate 2557 divided by 8722.
2557/8722
What is -9283 divided by -715?
9283/715
175424180 divided by 35084836
5
Divide -14058 by -25561.
14058/25561
Divide 5962109 by 5962109.
1
What is -6 divided by -593647?
6/593647
Calculate 19550804 divided by -182.
-107422
-48826817 divided by 13
-3755909
-13730400 divided by 6865200
-2
What is -910 divided by -26421?
910/26421
Calculate -1349472 divided by -112456.
12
Calculate -26510 divided by 163.
-26510/163
Calculate -10177950 divided by 2035590.
-5
10510389 divided by -3
-3503463
What is -383277299 divided by -4?
383277299/4
What is 1269444 divided by 326?
3894
Calculate 140942300 divided by -35235575.
-4
Divide 28598306 by -12958.
-2207
Divide -1250002 by -26.
48077
432789868 divided by -108197467
-4
2026902 divided by -6
-337817
Calculate 9057224 divided by 8.
1132153
Divide 100 by 619898.
50/309949
What is -3582352 divided by 4?
-895588
Calculate -10498336 divided by 557.
-18848
Calculate 17743668 divided by 5.
17743668/5
Calculate -5 divided by -172043634.
5/172043634
Calculate -7732895 divided by -2.
7732895/2
Divide -13125224 by -1.
13125224
1195924 divided by 58
597962/29
Divide 668 by 165603.
668/165603
511 divided by -4433
-511/4433
What is 2 divided by 286218242?
1/143109121
Calculate -3069360 divided by 4.
-767340
What is 7644 divided by -51?
-2548/17
Divide 17984 by -2118.
-8992/1059
-144785 divided by 5429
-144785/5429
Calculate 67383828 divided by 71.
949068
What is -8402760 divided by -15?
560184
Calculate 4645 divided by 2449.
4645/2449
Divide -1435106 by -86.
717553/43
Calculate 0 divided by -26974145.
0
Divide -3738440 by -8.
467305
Calculate -14451192 divided by 38952.
-371
What is 59816745 divided by 20705?
2889
-504307074 divided by 6
-84051179
Calculate -65 divided by 668217.
-65/668217
Divide -3517344 by -531.
6624
623 divided by -2615
-623/2615
Calculate -182013702 divided by -118.
1542489
What is 3741980 divided by -10252?
-365
6675764 divided by -646
-10334
24 divided by 5593
24/5593
Divide -11 by 985982.
-11/985982
Calculate -51517970 divided by 23741.
-2170
What is 159026334 divided by -53008778?
-3
Divide 105608 by -3782.
-52804/1891
Divide 1597323555 by -5.
-319464711
Calculate -1008970 divided by -134.
504485/67
-229585428 divided by -172
1334799
What is 207036 divided by 56?
51759/14
Divide 21642122 by -2.
-10821061
-3377580 divided by 3377580
-1
-477146592 divided by 288
-1656759
Divide 15469 by -30337.
-15469/30337
-11426844 divided by 11
-1038804
What is -4 divided by -38206897?
4/38206897
Divide -42520066 by 698.
-60917
What is -17 divided by -876582?
17/876582
What is 11730846 divided by -6?
-1955141
101596803 divided by 1319439
77
Divide 51219 by -29.
-51219/29
-79 divided by 25375
-79/25375
Calculate -36393568 divided by 3.
-36393568/3
18973289 divided by -2
-18973289/2
What is -99008 divided by -5080?
12376/635
Calculate 286 divided by 518049.
286/518049
-53968544 divided by -13492136
4
Calculate 0 divided by -674310.
0
Divide -229209546 by 38201591.
-6
What is -50328264 divided by 42?
-1198292
Calculate -192009945 divided by 64003315.
-3
What is -49553900 divided by -50?
991078
13559624 divided by -26
-521524
Divide -11320128 by 192.
-58959
64893934 divided by -888958
-73
Divide -4 by 31723310.
-2/15861655
30 divided by 5298336
5/883056
Divide 294367 by -23.
-294367/23
What is 122088 divided by 52?
30522/13
14 divided by -15625660
-7/7812830
What is -25723 divided by 595?
-25723/595
-30996214 divided by 2
-15498107
-21993822 divided by 54
-407293
167 divided by -104917
-167/104917
Divide -5 by -47251945.
1/9450389
What is 71245656 divided by -1979046?
-36
What is -5080240 divided by -1012?
5020
-1811135 divided by 6
-1811135/6
What is -8111484 divided by 139?
-58356
Divide 33832532 by 7223.
4684
What is -2007578304 divided by -4?
501894576
Divide -51668126 by 2.
-25834063
What is -24553627 divided by -119?
206333
What is 1127558 divided by 143?
1127558/143
What is 1050145 divided by -13?
-1050145/13
What is -10028520 divided by -3342840?
3
Divide -732 by 87307.
-732/87307
-1525829 divided by 1525829
-1
Divide 10 by -2763883.
-10/2763883
What is -5841375 divided by -13875?
421
-52 divided by 288506
-26/144253
Calculate 39241234 divided by 19.
39241234/19
Calculate -285395733 divided by -1.
285395733
Calculate 3 divided by -26984131.
-3/26984131
What is 5 divided by -2885279?
-5/2885279
Calculate -34112700 divided by -758060.
45
What is -4 divided by -682448?
1/170612
2190180 divided by 60
36503
What is 31312 divided by 853?
31312/853
Calculate -22 divided by -5980295.
22/5980295
Divide 34478496 by 2652192.
13
638204 divided by 46
13874
Calculate 31 divided by -31327.
-31/31327
-46755961 divided by -4
46755961/4
-97110349 divided by 7
-13872907
-11067678 divided by -9
1229742
Divide -2 by -196450303.
2/196450303
Calculate -14 | {
"pile_set_name": "DM Mathematics"
} |
(-2 - 2*a + 2 + (1 - 1 - 1)*(0 + 0 + 2*a)).
4*a**2 - 8*a
Expand (-2*a + 0*a + 4*a)*(a + 4*a - 3*a)*(20*a - 15*a + 33*a)*(-2*a - 4*a + 5*a).
-152*a**4
Expand (-3 + 3 - 2*a)*(3 - 3 - 2) + (5 - 3 - 1 - 1 + 2 - 3 + (-3 - 3 + 4)*(2 + 0 - 1))*(2*a + 0*a + 0*a) + 3*a + a - 3*a.
-a
Expand (-3 + 1 + 1)*(6*j - 3*j - 2*j - 1 + 1 - j + (5*j - 3*j + 0*j)*(0 + 2 + 0) + 0*j + 4*j - 2*j)*(-8 + 44 - 21).
-90*j
Expand (g + 4*g - 3*g)*(-26*g + 68*g - 17*g) - 2*g + 2*g - 2*g**2 - 4*g**2 + 5*g**2 + 2*g**2.
51*g**2
Expand (2 + 0*z + 0 - z)*(96*z - 79*z - 510*z - 2).
493*z**2 - 984*z - 4
Expand (-1 + 1 + 2*k)*(k + 2*k - k) + 11 + 25*k**2 - 11 + 1 - k**2 - 3*k**2 + 0*k**2.
25*k**2 + 1
Expand -7 + 3*j**2 + 5 - j - j**2 + (j + 2*j - j)*(0*j + 8*j - j) + 0*j**2 - j**2 - j**2.
14*j**2 - j - 2
Expand ((0 - 3 + 1)*(-x + x + x) + 37 - 69*x - 37)*(-5*x + 3*x + 3*x).
-71*x**2
Expand (-3 + 0 + 4)*(-2 + 3 + 2)*(-2*r + 2*r + 6*r) + (-2 + 6 - 2)*(-2*r - 3 + 3) + 4*r + 2*r - 5*r + 1 - r - 1.
14*r
Expand (1 - 4 + 1)*(-84*k + 83 - 83)*(-1 + 2 - 4)*(-2 + 1 + 3).
-1008*k
Expand (2*n + 0*n + 0*n)*(6*n - 2*n - 2*n)*(-3*n**2 + 3*n**2 - 2*n**2)*(2*n - 3*n - 2*n).
24*n**5
Expand (-542 + 67 - 26)*(b**2 - 4*b**2 + 4*b**2).
-501*b**2
Expand (-4*a**2 + 5*a**2 - 3*a**2)*(-7 + 0 - 1)*(a - 3*a + 3*a).
16*a**3
Expand (0*k**2 + 3*k**2 + 18*k**2)*(6 - 5 + 4)*(1 - 1 - 2).
-210*k**2
Expand -7*a**2 + 75 + 69 - 145 + a**2 + 0 + 0 + (-2*a + 3*a - 4*a)*(3 + a - 3).
-9*a**2 - 1
Expand 3*x - 2*x**5 - 3*x + (6*x - x - 3*x)*(-2*x**4 + x**2 - x**2) + (-10*x**4 - 6*x**4 + 5*x**4)*(-8*x - 6*x + 5*x).
93*x**5
Expand 0*u**4 + u**4 + 0*u**4 + (-2*u**2 + 5*u**2 - u**2)*(3*u**2 - 4*u**2 + 2*u**2) + (3*u - 5 + 5)*(3*u**3 - 5*u**3 + 4*u**3)*(10 - 5 - 4)*(-2 - 1 + 0).
-15*u**4
Expand (-525 - 582 + 67)*(2*j - j - 3*j).
2080*j
Expand (-3 - 4 - 4)*(59*j**3 + 783*j**2 - 783*j**2).
-649*j**3
Expand (-12*p - 4*p - 24*p)*(-10 - 1 + 1).
400*p
Expand (4*l + 0*l - 2*l)*(4 - 10 + 7)*(1 + 4 - 2)*(-6*l**3 - 5*l**3 + 5*l**3).
-36*l**4
Expand (2 + g - 2)*(5 - 2*g**4 - 5) - 76*g**5 + 16*g**5 - 35*g**5.
-97*g**5
Expand (-270*j**2 + 2*j + 51*j**2 - 4*j)*(10*j - 4*j**2 - 10*j).
876*j**4 + 8*j**3
Expand (2*r**3 - 1 + 1)*(-3 + 0 + 4) + 1 - r**3 - 1 - 30 + 30*r**3 + 30.
31*r**3
Expand (-16*l**2 + 4*l**2 - 6*l**2)*(-4*l + 3*l + 6*l).
-90*l**3
Expand -9*k**2 + 9*k**2 + 3*k**4 + (-2*k**3 + 6*k**3 - 2*k**3)*(-7*k - k + 6*k - 3) - k**4 + 2*k - 2*k + (0*k + 5*k - 4*k)*(-6*k**3 + 4*k**3 + 0*k**3).
-4*k**4 - 6*k**3
Expand 2*b**4 - 4*b**4 + 0*b**4 + (-b**2 + b - b)*(5*b**2 - b**2 + 3*b**2)*(4 - 6 + 1 - 1 + 0 - 1 + (0 + 0 - 1)*(0 - 1 - 1) + 0 - 1 - 2).
26*b**4
Expand (-33*s**2 + 76*s**2 + 145*s**2)*(s + 2*s - 2*s).
188*s**3
Expand 1 - 1 + i**3 + (0*i - 2*i + 4*i)*(-2*i**2 - i**2 - i**2) + 4*i**3 - 3*i**3 - 6*i**3.
-12*i**3
Expand (t + 6*t**4 + 1 - 3*t**4 + t)*(6 - 2*t - 6 + 2*t + 0*t + 0*t + (0 + 0 - t)*(-3 + 1 + 1)).
3*t**5 + 2*t**2 + t
Expand ((2 + 4 - 4)*(3*j**2 - 3*j**2 - j**2) - j**2 - j**2 + j**2 + j**2 - 6*j**2 + 3*j**2)*(2*j - j + j + 2*j + 0*j + 2*j + (-j - 4*j + 6*j)*(-21 - 8 - 12)).
175*j**3
Expand (-163*w - 7*w**2 + 163*w)*(2*w**2 - 4*w**2 + 6*w**2) + 0*w**2 + 0*w**2 - 2*w**4 + (-w**2 - 5*w**2 + 5*w**2)*(2 + 2*w**2 - 2).
-32*w**4
Expand (b**2 - 5*b**2 + 3*b**2)*(11 - 18 + 10)*(b + 2*b - 2*b)*((6*b - b - 2*b)*(-b + 2 - 2) - 5*b**2 + 2*b**2 + 2*b**2).
12*b**5
Expand 1790*l**3 - 951*l**3 - 906*l**3 + 6 + (2*l**2 + l**2 - 4*l**2)*(2*l + 4*l - 4*l).
-69*l**3 + 6
Expand (-2 + 2 - c)*(1325 + 373*c**2 - 1325) + 4*c**3 - 3*c**3 - 3*c**3.
-375*c**3
Expand (-1 + 0 + 0)*(-2257*g**2 - 2251*g**2 + 3659*g**4 + 4508*g**2).
-3659*g**4
Expand (14*s + 104 - 104)*(0*s**2 + 0*s**2 + 2*s**2)*((1 - 2*s - 1)*(s + 1 - 1) - 3*s**2 - 3*s**2 + 4*s**2 - 65 + 23*s**2 + 65).
532*s**5
Expand 4 - d - 4 + (4 - 2 - 5)*(-10 + 10 - 6)*((1 - 1 + 1)*(3*d - 2*d - 3*d) - 2*d - 3*d - 4*d).
-199*d
Expand (3 - i**3 - 3 + (4*i**3 - 6*i**3 + 4*i**3)*(-2 + 2 - 1) - i**3 + 0*i**3 - i**3)*(i**2 - 133*i - 4*i**2 + 128*i).
15*i**5 + 25*i**4
Expand (v + 3*v**2 - v)*(23*v**2 - 33*v**2 - 43*v**2) - 6*v**4 + 3*v**4 + 2*v**4.
-160*v**4
Expand (9 - 20 + i + 7)*(-2*i - 2*i - 3*i).
-7*i**2 + 28*i
Expand (-33 + 40 + 17)*(-3*g + 15 + 8*g - 6*g).
-24*g + 360
Expand (2*l - 4*l + 3*l)*(-3*l + 2*l - l) + l + l**2 - l - 6*l**2 + 5*l**2 + 4*l**2 - l**2 - l**2 + 3*l**2 + l**2 + 4*l**2 - 4*l**2 + 2*l - 23.
4*l**2 + 2*l - 23
Expand 2*f**4 + 1 - 1 + (4*f**4 - 5*f**4 + 0*f**4)*(-1 + 2 + 0) - 5*f**4 - 4*f**4 + 2*f**4 + (2*f**3 - 3*f**3 + 0*f**3)*(-5 + 11*f - f - 8*f).
-8*f**4 + 5*f**3
Expand (3*b**3 - 3*b**3 + b**3)*(3*b + 4*b - 4*b + (-5 + 4 - 2)*(-7*b + 3*b + 6*b)*(-2 + 0 + 4)).
-9*b**4
Expand (-1381 + 689 + 667 - 2*k**2)*(0*k - 3*k - 2*k).
10*k**3 + 125*k
Expand (2*b - 2*b - 2*b)*(0 - 2*b + 0) - 3*b**2 - b**2 + 3*b**2 - 68 + 68 + 2*b + 4*b**2.
7*b**2 + 2*b
Expand (-o - o - 3*o)*(-6*o - 13*o**2 + 6*o) - 3*o - 3*o**3 + 5*o + 8*o**3.
70*o**3 + 2*o
Expand (-3*s**2 + s**2 + 0*s**2)*(4 + 6 - 4 + (-3 + 2 - 1)*(-3 + 0 + 1))*(-7 + 0 + 0).
140*s**2
Expand -111*x - 3*x**4 + 111*x + x**2 + (0*x + 4*x - 2*x)*(-24*x**3 + 35*x**2 - 35*x**2).
-51*x**4 + x**2
Expand (-7 + 6*z + 7)*(0 + 3 - 2) + (-10 - 3 + 8)*(-z - 1 + 1).
11*z
Expand (2 - 4 + 3)*(4*s**3 + 0*s**2 + 0*s**2) - 6*s**2 + 126*s**3 + 6*s**2 + 41*s**3.
171*s**3
Expand (-3 + 3 + c**2)*(-5*c - c**2 + 5*c) + (0*c + 0*c - 3*c**2)*(10*c**2 + 15*c**2 + 14*c**2) - 2 + 2 - 2*c**4.
-120*c**4
Expand (0 - 2 + 0)*(28*t + 89 - 89)*(4*t - 4*t - 4*t + (0*t + 2*t - t)*(-1 + 0 + 0) + t + 2*t - t).
168*t**2
Expand (-55*l**3 - 9*l**3 + 26*l**3)*(2 - 4 + 3)*(1 + 3 - 5).
38*l**3
Expand (3 - 4 - 2 + 3*b**2)*(8*b - b - 6*b).
3*b**3 - 3*b
Expand (56*v + 44 - 53*v - 44)*(-9 - 4*v + 9).
-12*v**2
Expand (-2 + 5 - 6)*(2*s**2 - 64*s**3 + 28*s**3 + 34*s**3).
6*s**3 - 6*s**2
Expand (-p**4 - p**4 + 3*p**4)*(-4*p + 4*p + p)*(-166 + 82 + 75)*(-1 + 1 + 3)*(5 - 2 - 2).
-27*p**5
Expand (2*u - 6*u + 0*u)*(3 - 3 - u**2 + (1 + 2 - 2)*(-2*u - 2*u**2 + 2*u) + 0 - 2*u**2 + 0 + 2*u**2 + 3*u**2 - 6*u**2 - 1)*(3*u - 4*u - 3*u).
-96*u**4 - 16*u**2
Expand (2 + 2*v + 2 + 1)*(-55*v**2 + 98*v**2 + 238*v**2).
562*v**3 + 1405*v**2
Expand (-i + 3*i - i)*(2 + 1 - 4) - 127 - i + 127 + 2 + i - 2.
-i
Expand -4*s**2 - 4*s**2 - 3*s**2 + (-5 + 5 - 2*s)*(0*s + s + s).
-15*s**2
Expand -1000*b**2 + 51*b**2 - 179*b**2 + (2*b**2 - 2*b + 2*b)*(1 + 1 - 1) + 2*b**2 - 2*b**2 + 2*b**2.
-1124*b**2
Expand (0*n + 0*n - n**2)*(4 + 77*n - 2 - 79*n)*(6*n - 4*n + 2*n).
8*n**4 - 8*n**3
Expand (2 - l - 2)*(l**2 + 0*l**2 + 0*l**2) + 493*l - 27*l**3 + 8*l**3 - 489*l + (6*l - 6*l - 3*l)*(2*l**2 - l**2 - 2*l**2).
-17*l**3 + 4*l
Expand (571*f**3 - 2845*f + 2845*f)*(-f**2 + 0*f**2 + 0*f**2).
-571*f**5
Expand (2 + 0 - 3)*(-2 + 16*z + 166*z + 38*z) + 0 + 2*z + 0.
-218*z + 2
Expand (-16*x + 1515 - 1515)*(4*x**3 - 2*x**3 - 4*x**3) + x**4 + x**4 - x**4 + (-x**2 - x**2 + 4*x**2)*(-3 - 2*x**2 + 3) - 6*x**4 + 0*x**4 - 5*x**4.
18*x**4
Expand (2*o + 1 - 1)*((2*o**3 - 2*o**3 + 2*o**3)*(-3*o + o + 0*o) + (2*o**2 + 0*o**2 - 4*o**2)*(4*o**2 - 5*o**2 + 3*o**2)).
-16*o**5
Expand 0 + 2*t**2 + 0 - t**2 + 2*t**2 - 2*t**2 + (3 - 1 - 4)*(t - t - 2*t**2) + 14*t**2 + 2*t**2 + 7*t**2.
28*t**2
Expand -6 - 6*h**2 + 6 + (3*h - 4*h + 2*h)*(3*h - 7*h + 2*h) - 9*h**2 + 10*h**2 + 4*h**2.
-3*h**2
Expand (-11*i**2 - 10*i + 10*i)*(1 - 48*i - 5*i**2 + 48*i).
55*i**4 - 11*i**2
Expand (-29*g**2 - 19*g**2 - 215*g**4 + 49*g**2)*(5 - 4 + 1)*(0*g + 0*g + g).
-430*g**5 + 2*g**3
Expand (3 - p - 3)*(7 - 2 - 4)*(-3*p - 45719 + 45719)*(p**3 - 2*p**3 + 2*p**3).
3*p**5
Expand (-2 - m**5 + 2 + m**4)*((7 + 7 - 6)*(-2 - 3 + 4) + (0 - 2 + 3)*(0 - 2 + 3) - 3 + 2 + 0 - 3 - 1 + 1).
11*m**5 - 11*m**4
Expand (-2 + 6 + 3)*(-3 + 0 - 3)*(-33*v - 5*v - 17*v + 15*v).
1680*v
Expand (13*r**3 + 212*r - 215*r + 18*r**3)*(2*r + 2*r - 3*r).
31*r**4 - 3*r**2
Expand ((2 + 0 + 0)*(3 + 3 - 5) + 2 + 1 - 1)*(-2*k**2 + 26*k**2 + 44*k**2).
272*k**2
Expand (-964*i**5 - 786 + 786)*(-1 + 1 - 2).
1928*i**5
Expand ((1 + 2*z - 1)*(-3 + 1 + 1) - 2*z - z + z)*(5934*z - 5934*z + 297*z**2).
-1188*z**3
Expand (1 - 3 - 4 - 5*c**2 - 2*c**2 + 3 - 3 + (-2*c + 1 - 1)*(-3*c - 2*c + 6*c))*(c + 2*c + 0*c).
-27*c**3 - 18*c
Expand (2 + 3 - 3 + (0 + 6 - 5)*(4 - 1 - 1) + 6 + 0 - 4 + 4 - 1 - 4 + (-10 - 12 - 2)*(-1 - 2 + 5))*(-2*c**4 + 3*c**2 - | {
"pile_set_name": "DM Mathematics"
} |
7, -b = 2*r - 23. What is the units digit of b?
7
Let n(p) be the first derivative of 33*p**4/4 - 2*p**3/3 + p - 3. What is the units digit of n(1)?
2
Suppose -3*c = 3, -413 = -5*d + 2*c + 314. What is the units digit of d?
5
Suppose 2*w + 1 = -7. What is the tens digit of 38 - (-7)/((-7)/w)?
4
Let a be 4/(-3) - (-2466)/27. Suppose 2*m = 4*f - 158 + 46, 3*f - 3*m = a. What is the tens digit of f?
2
Let y be (-1 + 3)*(1 - 0). Suppose y*a + a = 69. What is the units digit of a?
3
Suppose -317 = -5*s + 2*n, 5*s - 82 = -5*n + 228. What is the tens digit of s?
6
What is the tens digit of (-200 + -2)*6/(-12)?
0
Suppose 5*a + 5*w - 213 = 3*w, -171 = -4*a - w. What is the tens digit of a?
4
Let k(w) = 6*w**2 + 7*w - 1. What is the hundreds digit of k(-7)?
2
Let s = -7 - -19. Suppose 3*r + s = 2*v + r, -3 = 4*v + 5*r. What is the units digit of v?
3
Let s be (-1 + 4)*132/9. Suppose 3*p = -p + s. What is the tens digit of p?
1
Suppose -5*j = -3*j + 5*u - 371, 0 = 2*u + 10. What is the hundreds digit of j?
1
Let v be (-15)/10*(-40)/(-6). What is the tens digit of (5/3)/(v/(-120))?
2
Suppose 5*x - 50 = -0. Let j be (-392)/(-63) - (-2)/(-9). Let s = x - j. What is the units digit of s?
4
Suppose -f = -3 + 14. Let x be 0 - f - (-7)/(-7). Suppose 5*p - x - 5 = 0. What is the units digit of p?
3
Suppose 2*c + 12 = 4*n - 6, -n - 3*c = -8. Suppose n*f - 2 = 3. What is the units digit of f?
1
Let b(a) = a**2 - 21*a + 31. What is the tens digit of b(23)?
7
Suppose j + 0 - 1 = 0. Suppose y + j = 12. What is the units digit of y?
1
Let p(w) = w**2 - 3*w. Let y be p(3). Let r(f) = f + 19. What is the tens digit of r(y)?
1
Suppose 3*x + x + 80 = 0. What is the tens digit of x*((-11)/(-5) - 3)?
1
What is the tens digit of 456/16 - (-9)/6?
3
Let i(w) = -4*w + 1. Let t be i(-1). What is the units digit of 2/t - (-365)/25?
5
Let l(h) = h**3 + 7*h**2 + 6*h + 2. Let z(p) = 6*p. Let v be z(-1). Let c be l(v). Suppose 0 = -c*d + 4 + 2. What is the units digit of d?
3
Suppose -u - 3*u - 20 = 0. Let l(y) = y + 9. Let m be l(u). Suppose -12 + 0 = -m*c. What is the units digit of c?
3
What is the units digit of ((-30)/9)/((-6)/45)?
5
Suppose 3*j - 2*k = -23, 3*j + 31 = -k + 5*k. Let z(i) = i**2 - 3*i - 15. What is the tens digit of z(j)?
2
Let t = 99 - 31. What is the tens digit of t?
6
Let c(i) be the third derivative of -i**5/30 + 7*i**4/24 + i**3/6 - 2*i**2. What is the units digit of c(3)?
4
Let o be (-2)/11 + (-40)/22. What is the units digit of (o/(-3))/((-2)/(-33))?
1
Let r be -3*(-1 + 11/3). Let x = r - -13. Suppose -4*y = -5*y + 2*b + 11, x*b = 0. What is the units digit of y?
1
Let f be (1*-3)/((-27)/18). Suppose c = -r + 3*r - 14, 0 = f*r - 2*c - 10. What is the units digit of r?
9
Suppose -c + 2 = -4. Let m = c - 0. What is the units digit of m?
6
Suppose 2*x = 3 - 5. What is the units digit of 44/24 - x/6?
2
Suppose -5 = o - 4. Let t(x) be the first derivative of -x**4 - x**3/3 - x**2/2 - x - 2. What is the units digit of t(o)?
3
Let c = -11 - -13. What is the units digit of (8/(-10))/(c/(-20))?
8
Suppose 1 = -0*i - i - 3*n, -4*n - 8 = 0. Suppose 4*q + 3*w - 4 = 5*w, -5*w = -5*q - i. Suppose q*v + 2*v - 70 = 0. What is the units digit of v?
4
Let j be (-2)/(-3)*2*18. Let g = j + -5. What is the tens digit of g?
1
Suppose 2 - 1 = 2*l + z, -4*z - 6 = -2*l. Let q = 7 + l. What is the units digit of q?
8
Suppose 3*q - u - 8 = -0*u, u = -4*q + 13. Suppose 0 = -3*v + 59 + 37. Suppose b + q*b = v. What is the units digit of b?
8
Let s(u) = -5*u + 3. What is the tens digit of s(-2)?
1
Let s be ((-1)/2)/((-1)/(-12)). Let x(m) = m**2 + 6*m + 2. Let o be x(s). Suppose 5*l - 27 = o*l. What is the units digit of l?
9
Let t = -2 - -2. Suppose a = 2*n + 3*n + 10, t = a + 2*n - 3. Suppose -a*s + 6*s - 8 = 0. What is the units digit of s?
8
Let p = -2 + 6. Suppose p*b - 8 = -0*b - 4*s, -2*b = 4*s. Suppose -b*g + 18 = -2*g + 4*j, -4*g = 2*j - 42. What is the tens digit of g?
1
What is the hundreds digit of (-5)/(5 - 0)*(-238)/2?
1
Let j(z) be the second derivative of z**6/720 + z**5/40 - z**4/6 + 3*z. Let p(b) be the third derivative of j(b). What is the units digit of p(-2)?
1
Let u(n) = n + 1. Let c(w) = 4*w. Let x(b) = c(b) - 3*u(b). Let m be x(7). Suppose 2 = -m*y + 26. What is the units digit of y?
6
Let t(m) = 5*m**2 + m - 17. Let p(g) = 2*g**2 + g - 8. Let v(z) = -9*p(z) + 4*t(z). What is the units digit of v(4)?
6
Suppose -2*n + 1 = h, 5*n - 6 = 4*h + 16. Let s(k) = 0*k**n + 3*k**2 - 1 - 2*k**2 - 3*k. What is the units digit of s(-3)?
7
Let j be (-2 + 0)/(2/(-2)). What is the tens digit of -2*j/8*-26?
1
Suppose 5*u + 371 = 4*n, n - 6*u = -2*u + 101. What is the units digit of n?
9
Suppose 0 = -2*b + 12. What is the units digit of 118/6 - 4/b?
9
Let f(c) = -2*c - 10. What is the units digit of f(-9)?
8
Suppose 4*g + 16 - 404 = 0. What is the units digit of g?
7
Let o(s) = -s + 1. Let b be o(-2). Suppose -99 = -4*i - b. What is the units digit of i?
4
Let d(a) = 8*a**2 - 1. What is the units digit of d(-2)?
1
Let b(f) = -f**3 - f**2. Let j(o) = -3*o**2 - 6*o - 4. Let i(s) = b(s) + j(s). What is the units digit of i(-4)?
0
Suppose 4*q - 3*r = 681, 5*r - r = -3*q + 492. What is the units digit of q?
8
Let l be 2 + 6 + 2 + 0. Let u(s) = s**3 - 9*s**2 - 8*s - 11. What is the units digit of u(l)?
9
Let n(q) = 24*q + 11. What is the units digit of n(3)?
3
Suppose 0 = 4*w + 14 - 230. What is the tens digit of w?
5
Let o = 2 + 1. What is the units digit of o?
3
What is the units digit of -32*1*9/(-6)?
8
Let p(u) = 16*u - 1. Let j(n) = 8*n. Let q(t) = -7*j(t) + 3*p(t). What is the units digit of q(-2)?
3
Let g = 9 + -16. Let n = g - -16. What is the units digit of n?
9
Let b(l) = 42*l - 4. What is the hundreds digit of b(3)?
1
Let r(m) be the first derivative of 3*m + 7/3*m**3 - 5/2*m**2 - 1/4*m**4 + 2. What is the units digit of r(6)?
9
Let h(f) = f + 1. Let t be h(4). Suppose 5*n + 3*u = 37 - 8, -3*u + 13 = n. Suppose -t = -y + n. What is the units digit of y?
9
Let u(y) be the first derivative of y**3/3 - 2*y**2 + 2*y - 2. Let x be u(6). Suppose i + i = x. What is the units digit of i?
7
Suppose 3*a - 9*a = -348. What is the tens digit of a?
5
Let g(k) = -6*k - 2. Suppose v + 2*v = -9. What is the units digit of g(v)?
6
Let q(d) = 3*d**2 - 2*d + 2. Let n(r) = -4*r**2 + 2*r - 2. Let c(w) = 2*n(w) + 3*q(w). What is the tens digit of c(5)?
1
Suppose 221 = 4*l - 71. What is the tens digit of l?
7
Suppose -6*w + 5*w = 0. Suppose 56 = 5*m - g, w*m - 3*g = -4*m + 36. What is the units digit of m?
2
Let w = -20 + 67. What is the units digit of w?
7
Suppose 2*r - r = 17. Suppose -3*b = -p + 2*b - r, -3*p = -5*b + 11. What is the units digit of p?
3
Suppose 4*a - 4 = j, -4*j + 3*a - 2*a = -14. Let k(n) = 2*n + 2. What is the units digit of k(j)?
0
Let k = -6 + 10. Suppose 4*y - 46 = -3*o, -24 = -2*o - 2*o + k*y. What is the tens digit of o?
1
Let a(x) = x**2 - 7*x + 10. What is the units digit of a(6)?
4
Suppose -5*d = -0*m + 4*m - 20, -2*d + 11 = m. What is the units digit of (5/(-10))/((-1)/d)?
4
Let q = 14 - 22. Let n(c) = c + 12. Let w be n(q). Suppose -o - i = -15, 5*o - 4*o - w*i = 0. What is the tens digit of o?
1
Let y be 2 + 0 - 1 - 0. Suppose -a - y = 0, 2*a - 37 = -3*x + 3*a. What is the tens digit of x?
1
Suppose 145 - 470 = -5*d. What is the units digit of d?
5
What is the hundreds digit of ((4 - 1) + -4)*(-5 + -238)?
2
Suppose 2*y = -y - 18. Let r(q) = q**3 + 6*q**2 + q - 3. Let n be r(-6). Let c = y - n. What is the units digit of c?
3
Let z = 0 - 0. Let v = z + 8. What is the units digit of v?
8
What is the units digit of (-68)/(-1) + (1 - -1)?
0
Let f be 2/8 + (-2)/8. Suppose f = 3*n - 2*s - 3*s + 15, 5*s = 15. Suppose -3*j = -z - 11, -3*z - 18 = -4*j - n*z. What is the units digit of j?
3
Let h(y) = -23*y**3 + 19*y**2 + 12*y - 5. Let j(o) = 4*o**3 - 3*o**2 - 2*o + 1. Let p(f) = 6*h(f) + 34*j(f). What is the tens digit of p(6)?
2
Suppose j - 2 = 3. Suppose -l + 2*m = -2, -j = -l + m - 2. What is the units digit of l?
4
Let x be ((-3)/5)/((-11)/165). Let a = 10 - x. What is the units digit of a?
1
Let r(y) = 2*y**2 + y + 1. Let h be r(-3). Let t be (-28)/h - (-2)/(-8). What is the units digit of 6*((-1)/t)/1?
3
Let t(s) = 9*s**2 + 1. Let n be (-4)/(-2)*(-1)/(-2). What is t | {
"pile_set_name": "DM Mathematics"
} |
ommon factor of t and 10.
5
Suppose -8*u + 10*u = 8. Suppose 4*n + 2*t = -2*t + 60, 0 = -u*t + 12. Calculate the greatest common divisor of n and 48.
12
Let s(y) = y**2 + y - 6. Let x = -4 - 2. Let f be s(x). Calculate the highest common divisor of f and 12.
12
Let l(b) = -b**2 - b + 2. Let n(u) = -u**2 - 2*u + 1. Let k(d) = 2*l(d) - 3*n(d). Let c be k(-5). Calculate the highest common divisor of 2 and c.
2
Suppose 4*p = 132 + 188. Calculate the highest common factor of p and 16.
16
Suppose f - 4 = 1. Let q = 3 + -1. Suppose o - 22 = -2*h + q*o, 3*h - f*o - 40 = 0. Calculate the greatest common factor of 90 and h.
10
Let u(l) = -l**2 - 3*l + 3. Let c be u(-3). Calculate the greatest common divisor of 33 and c.
3
Suppose 0 = -m - 3*r + 28, 37 + 31 = 3*m + 5*r. Calculate the highest common factor of 128 and m.
16
Let b be (-1 - (-2)/8)*-60. Suppose -2*o + 5*q = 3*o - b, -q - 21 = -2*o. Suppose -w + 13 = -5. Calculate the greatest common divisor of w and o.
6
Let m(o) = 5*o**2 + o. Let y be m(1). Suppose -2*s + y*s = 844. Let b = s + -75. Calculate the highest common factor of 17 and b.
17
Let j be (-8)/(-3)*9/2. Suppose -15 = -p - 2*q + j, 51 = 3*p - 4*q. Suppose -x + 7 = -4*y + 24, 3*y - 15 = 0. Calculate the greatest common factor of x and p.
3
Let c = -19 - -29. Suppose 3*i - 7*i = -5*k + 67, 23 = k + 4*i. Let l be (k/(-10))/(3/(-20)). Calculate the highest common factor of l and c.
10
Let z = 462 - 245. Calculate the highest common divisor of z and 31.
31
Let t(w) = -4*w + 3. Let l(k) = -12*k + 10. Let b(n) = -4*l(n) + 11*t(n). Let y be b(5). Let v = -9 + 35. Calculate the greatest common factor of y and v.
13
Let a = -98 - -120. Calculate the highest common divisor of 11 and a.
11
Let z be (-3)/9 + (-2)/3. Let o = z - -2. Calculate the highest common factor of o and 4.
1
Let a(s) = -3*s - 1. Let k be a(-9). Suppose -3*c = -4*c. Suppose -2*y = -c*y - 78. What is the greatest common factor of k and y?
13
Suppose -128 = -0*m - 4*m. Suppose 34 = 4*k - 30. What is the highest common factor of k and m?
16
Let s = 96 + -16. Let w(i) = i**3 + 5*i**2 - i - 4. Let j be w(-2). What is the greatest common divisor of s and j?
10
Let g be 132*(-2)/(-8)*2. What is the greatest common factor of 44 and g?
22
Let m = 20 - 13. Suppose -3*w + 3*b = -b - 31, -2*b + m = 3*w. What is the greatest common factor of 40 and w?
5
Suppose 2*l + 3 = 3*l. Suppose -l*a + j = -21, -a + 5*a - 3*j = 33. What is the greatest common divisor of 18 and a?
6
Suppose v = -3*s + 4, 3*v + 9 = -6. Let q be (-1 - -3) + s + 0. Let r be (q/1)/((-3)/(-6)). Calculate the highest common factor of r and 2.
2
Let w be 4/30 - 8/60. Let p(t) = -t**2 - t + 8. Let m be p(w). Calculate the highest common factor of 72 and m.
8
Let d(h) = -h**3 + 2*h**2 + 3*h + 3. Let q be d(-3). Calculate the greatest common divisor of 26 and q.
13
Let k(b) = 4*b**2 - 7*b + 3. Let u be k(7). Calculate the highest common divisor of 60 and u.
30
Suppose -3*u + 18 = 3*s, -2*s = 3*u - 7*u + 54. Let d = -58 - -135. What is the greatest common divisor of u and d?
11
Let u be 4*1/((-8)/(-10)). Let p = 1 - -7. Suppose -p*f + 11*f = 105. What is the greatest common factor of f and u?
5
Suppose 0 = p + 1 - 5, -2*f = p - 114. Let o be (5/(-2) + 1)*-2. Let q be o*2*55/15. What is the greatest common divisor of q and f?
11
Let y = 7 + 18. Suppose 0 = 5*n - y, 4*b - 3*n - 7 = -22. Suppose -2*x + 8 = -4*a + a, -x - 3*a + 4 = b. Calculate the highest common divisor of x and 6.
2
Suppose 5*r - 260 = 5*m, -4*r - 86 = 5*m + 156. Let j = 72 + m. Suppose 0 = -i + j + 4. What is the highest common divisor of i and 13?
13
Let d be (-6)/33 - (-158)/22. Suppose 0 = -2*h - 5*l - d, -h + 16 = -0*h - 4*l. Let j be 4/1 + -1 + 3. What is the highest common factor of j and h?
2
Let d(t) = t**3 + 4*t**2 - 11*t - 12. Let l be d(-8). Let g = -36 - l. What is the greatest common factor of 18 and g?
18
Suppose 3*q = -3*t + 13 + 8, 5*t + q = 19. Calculate the highest common factor of 15 and t.
3
Let i(p) = 2*p - 1. Let s be i(7). What is the highest common factor of 104 and s?
13
Let c(d) = -d**3 - d + 20. Let m be c(0). Suppose -17*o + 15 = -14*o. What is the highest common factor of o and m?
5
Suppose -3*k + 18 = 3*a, -k + 3*a = k + 3. Suppose -k*x + 30 = -x. Suppose -2*f + 13 = -x. Calculate the highest common factor of 98 and f.
14
Suppose -5*l + 10 = -65. What is the highest common divisor of l and 15?
15
Suppose 3*o = 5*b + 17 + 102, 40 = o - 2*b. Calculate the greatest common divisor of 95 and o.
19
Let a be 1/((-1 - 0)/6). Let b be a/15 - (-544)/10. What is the highest common divisor of 18 and b?
18
Let a = -1 + 14. Suppose f - 12 - 40 = 0. What is the greatest common factor of a and f?
13
Suppose 2 = -z - 1. Let q be (-26)/1*z/6. What is the highest common factor of q and 26?
13
Suppose -k + 27 = 2*k. Let w(t) = -t**3 - t**2 + 10*t - 5. Let u be w(-4). Calculate the highest common divisor of u and k.
3
Let m(u) = -u**3 + 8*u**2 + 9*u + 2. Let q be m(9). Suppose 3*z - 47 = 2*t, -2*z + 7*z - 105 = -q*t. What is the highest common factor of 152 and z?
19
Let h be -2*(-1 + 44/(-8)). Suppose 3*z - 133 = -h. What is the highest common divisor of 16 and z?
8
Let v = -27 + 14. Let c be 6/(-3)*(v - -1). Calculate the greatest common factor of 12 and c.
12
Let l(u) = 7*u**3 - 2*u + 2. Let j be l(1). Calculate the highest common factor of j and 63.
7
Let o(i) = -2*i**2 + 0*i**2 - 8*i + 13 + i**2. Let r be o(-9). Let a = r - 2. Calculate the highest common divisor of 2 and a.
2
Let q = -28 - -48. What is the greatest common factor of q and 2?
2
Let w(y) = -2*y - 1. Let n(d) = -d - 3. Let z be n(4). Let t be w(z). What is the highest common factor of 52 and t?
13
Suppose -5*v = -3*v - 42. Suppose -x + v = 5. What is the greatest common factor of x and 48?
16
Let i(x) = 2*x + 1. Let h be i(1). Suppose -34 = -4*u - k, 0 = 2*u - h*k + 7*k - 10. What is the greatest common divisor of 45 and u?
9
Let n be ((-28)/(-35))/((-1)/20). Let y be (-2)/5*40/n. Calculate the highest common factor of 1 and y.
1
Suppose -3*u - b + 63 - 13 = 0, 36 = 2*u + 2*b. Let q = -342 + 390. What is the highest common divisor of u and q?
16
Suppose -3*m - 3*o + 165 = 0, 3*o = -3*m + 4*o + 173. Calculate the highest common divisor of m and 19.
19
Suppose -2*o + 20 = 2*o. Suppose 3 = o*y - 17. Calculate the greatest common factor of 4 and y.
4
Let g = -11 + 12. What is the greatest common factor of g and 8?
1
Let f = 5 - 1. Suppose -17 = -a + 4*x, a - 5*x - 16 = f. What is the greatest common factor of 20 and a?
5
Suppose -b + 121 - 31 = 0. Suppose 4*l + l + 4*a + 55 = 0, 40 = -2*l + 2*a. Let n = 25 + l. What is the highest common factor of n and b?
10
Suppose 0 = -3*z + 52 + 179. Calculate the greatest common factor of 55 and z.
11
Let w(x) = -x + 12. Let m be w(7). Let q(f) = -40*f**3 + f**2 - 1. Let z be q(-1). What is the greatest common factor of m and z?
5
Let m(z) = 27*z**3 + 2*z**2 - z. Let l be m(1). Let q = -14 + l. What is the highest common divisor of 2 and q?
2
Let p = 199 + -187. Let w be (-2)/(-6) + (-179)/(-3). What is the greatest common divisor of p and w?
12
Suppose 1 = -g + 5. Let d be g/6 + 4/3. What is the highest common factor of 18 and d?
2
Let h be (6 + (-165)/10)*36/(-7). What is the greatest common factor of 81 and h?
27
Let k = 235 - -17. What is the highest common divisor of 42 and k?
42
Let l(d) = d**2 - 2*d + 13. Let q be l(11). What is the greatest common divisor of q and 16?
16
Let r(l) = -40*l + 1. Let p be r(-5). Let j = p + -136. Suppose 3*o - 26 = 2*o. What is the highest common divisor of o and j?
13
Suppose 56 + 24 = 4*f. What is the greatest common divisor of 8 and f?
4
Suppose -a + 2 + 0 = 0. Let y(q) = 30*q - 10. Let b(t) = -10*t + 3. Let f(n) = -10*b(n) - 3*y(n). Let m be f(a). What is the highest common divisor of 50 and m?
10
Let q be 6*(21/9 + -2). Suppose 4*u + 3 - 5 = -q*b, -34 = -4*b + 2*u. Calculate the greatest common divisor of 14 and b.
7
Let j(a) = -69*a - 10. Let r be j(-4). What is the highest common divisor of r and 19?
19
Let k(r) = -5*r - 9. Let u be k(-3). Let y(c) = c - 1. Let v be y(4). Calculate the highest common factor of v and u.
3
Let d(j) = -j + 3. Let v be d(-9). Suppose 0*u + 2*u + 20 = -5*q, 4*u + 3*q = -v. Let | {
"pile_set_name": "DM Mathematics"
} |
10?
30
Suppose -7*n = 5*i - 2*n - 25, 3*i - n - 27 = 0. Let b(x) = -x**2 - 7*x - 5. Calculate the least common multiple of b(-4) and i.
56
Suppose 0 = -i - j - 0*j + 9, 31 = 5*i - 2*j. Suppose 3*y + 0 = 12. What is the smallest common multiple of y and i?
28
Let n = -2333 - -23383/10. What is the common denominator of -13/8 and n?
40
Let s(i) = i**2 + 4*i - 2. Suppose r + 6*q - 3*q = -5, -5 = r - 2*q. What is the lowest common multiple of s(r) and (-58)/(-6) - 12/18?
9
Suppose 3*i - 5*i = -170. Suppose i = -g - 4*g. Let k = g + 33. What is the lowest common multiple of 4 and k?
16
Suppose 0 = -3*x + 5*r + 30, 0*r + 21 = 2*x - 3*r. Calculate the least common multiple of x and 6.
30
Let m be (-2)/8 + (-20606)/96. Let a be ((-364)/(-18))/((-92)/84 - -1). Let w = a - m. What is the common denominator of -17/14 and w?
112
Let h be 280*(0 - 156/(-10)). Let d = h - 34889/8. Calculate the common denominator of d and -4/9.
72
Let o = -354 + 1783/5. What is the common denominator of 48/11 and o?
55
Suppose 4*b = 18 + 14. What is the least common multiple of b and 8?
8
Let x = -17 + 21. Calculate the least common multiple of x and 16.
16
Let z(p) = 2*p**2 + 4*p. Calculate the least common multiple of 10 and z(2).
80
Suppose 5*a - 7*a - 26 = 0. Let y = 23 + a. What is the common denominator of 0 - (y + 6/(-2)) and -67/8?
8
Let h(o) be the first derivative of -4*o**3/3 - 3*o**2/2 + 3*o + 3. Let g be h(-3). What is the lowest common multiple of 16 and ((-18)/8)/(9/g)?
48
Let n = 12538 - 777393/62. Calculate the common denominator of n and -46/11.
682
Let c be ((-3)/(-6) + 0)*6. Suppose -4*i - 1 = c. Find the common denominator of 54/5 and i*2/10*-8.
5
Suppose -3*m - 10 = 4*k - 25, 2*m + 2*k - 10 = 0. Suppose -5*a = -2*n + 5, 4 + 1 = -5*a - m*n. Let g = 5 - a. What is the smallest common multiple of g and 14?
42
Suppose -2*b = r + 563, 470 + 347 = -3*b + 4*r. Calculate the common denominator of (b/(-4))/((-12)/8) and (-5 + 3)/((-60)/267).
10
Find the common denominator of ((-237)/(-6))/(3 - 2) and ((-148)/66)/((-8)/18).
22
Let v = -4 - -7. Suppose -v*b + 20 = 8. What is the smallest common multiple of b and 11?
44
What is the common denominator of -37/28 and (-3)/5 + (-1964)/(-40)?
28
Let q be (-1 - -2)/(1/5). Suppose -h = q*u, -3*h = -5*u + 3*u. What is the least common multiple of 9 and h - -1*(-1 - -2)?
9
Suppose -4*h + 4*r = 0, 6*h - 4*r + 4 = 3*h. Suppose 5*p + 9 = 34. Let b(y) = -y**3 + 5*y**2 + y + 7. Calculate the least common multiple of b(p) and h.
12
Let g = 19 - 9. Let c = -10 + 12. Calculate the smallest common multiple of c and g.
10
Suppose -o - 4*o = -40. What is the least common multiple of (-1)/(-2)*((-3)/1 - -21) and o?
72
Suppose u - 17 - 11 = -3*z, 5*z - 45 = -2*u. Calculate the lowest common multiple of z and 10.
110
Let x = 20 + 135. Let k be 113/1 + -1 + -1. Let s = k - x. Find the common denominator of s and -50/7.
7
Let h = 4 - -20. Calculate the smallest common multiple of 12 and h.
24
Let v(d) = -d**2 - 12*d - 1. Calculate the smallest common multiple of v(-11) and 112.
560
Find the common denominator of 31/5 - (-2)/(-5) and (4/15)/(36/(-870)).
45
Let t = -4/271 - 23545/2168. Calculate the common denominator of -71/6 and t.
24
What is the common denominator of (-12)/(-28) + (-683)/(-56) and -97/2?
8
Suppose 0 = -x - 4*x - 25, -b + 21 = -4*x. Suppose y - 4 = -m - b, -5*m = y - 11. What is the smallest common multiple of 12 and m?
12
Let p be -1 + (-1 + 1 - 0). Calculate the least common multiple of -8*((1 - 1) + p) and (4/(-3))/2*-30.
40
Find the common denominator of 218/12 - (-7 + 18/6) and 37/18.
18
Suppose 4*l = 3*n + n + 32, -4*l - n = -17. Suppose -j = -5*i + 15, i - 48 = -l*j + 7. Calculate the lowest common multiple of 18 and j.
90
Let y(m) be the third derivative of -m**5/60 + 7*m**4/24 - m**3/3 - 3*m**2. Calculate the least common multiple of y(5) and 3.
24
Let u be (-525174)/108 - (-3 - -1). Let t = u + 4858. What is the common denominator of 25/8 and t?
72
Find the common denominator of -69/2 and ((-55)/(-44))/(14/12).
14
Let k = -13214/5 + 2652. Find the common denominator of 61/12 and k.
60
Calculate the common denominator of (1/(-3))/(30/(-170)) and -50/39.
117
Suppose 14604 = -2*x - 2*x. Let o = 73053/20 + x. What is the common denominator of 91/4 and o?
20
Let m(k) = -k**2 + 9*k - 12. Let i = -12 + 24. Calculate the least common multiple of m(5) and i.
24
Suppose 56 = -3*d - 13. Let f = d - -8. Find the common denominator of f*3/33 + 0 and -9/7.
77
Let l(w) = -3*w - 10. Calculate the lowest common multiple of l(-8) and 22.
154
Suppose 0 = -4*s - 1 + 17. Suppose 4*c = -3*i + 44, -22 = -3*i - i + 2*c. Calculate the lowest common multiple of s and i.
8
Let q be ((-36)/14)/(3/(-21)). Suppose o + q = 3*o. Calculate the smallest common multiple of o and 9.
9
Let a = -52 - -88. What is the common denominator of 122/a - 4/3 and -41/40?
360
Let j = 31 + -15. Let b(d) = d**2 + 5*d - 4. Let u be b(-5). Let c = u - -6. What is the smallest common multiple of j and c?
16
Let z(c) = -c**2 + 5*c + 9. Let n be z(8). Let u(w) = 3*w - 6. Let x be u(-5). Let a = n - x. Calculate the least common multiple of 4 and a.
12
Let m be (-2)/(-2) - -2 - 1. Suppose m*u - 1 = r + 5, -2*u - 2*r = 0. Calculate the lowest common multiple of u and 5.
10
Let w = 31 - 13. Let j = -14 + w. Calculate the least common multiple of 20 and j.
20
Let u = -39623/16566 + -13/753. Calculate the common denominator of (-91)/(-616)*3 - 4/(-22) and u.
88
Let a = 235/22 - 66887/6270. Let x = -2177/570 - a. Find the common denominator of x and -9/7.
42
Find the common denominator of (1 - 80/(-6))*-1 and 47/11.
33
Let g = -17 + 19. Let h(l) = -l - 1 + 4 + 4. Calculate the smallest common multiple of g and h(5).
2
Let t = -1 + -31. Find the common denominator of -9/4 and 24/(-20)*(-150)/t.
8
Let x be 20/(-7) + (-2)/14. Let y(w) = -w + 1. Suppose -4*b - 8 = 0, -2*d - 3*b = -5*b - 28. Calculate the smallest common multiple of y(x) and d.
12
Let n = -132 - -137. What is the lowest common multiple of n and 4?
20
Suppose -q - 1239 + 353 = 0. Let l = -10679/12 - q. What is the common denominator of 113/20 and l?
60
Suppose -4*o = -4*g + 4, -30 = -3*o - 5*g - 1. Calculate the smallest common multiple of 10 and o.
30
Suppose 2*p = -0*n + 5*n - 16, 0 = 5*n - p - 18. What is the smallest common multiple of n and 17?
68
Find the common denominator of (4/(-2))/(-18)*(-29)/(-4) and 95/2.
36
Suppose -r - 2*t + 7 = 3*t, 4*r - 3*t = 5. Calculate the common denominator of (1/r)/(9/75) and 119/6.
6
Suppose w = 2*w - 5. Suppose -17 = w*g - 2. Calculate the lowest common multiple of (10/g)/(1/(-3)) and 22.
110
Let s = -8 - -16. Suppose i + 2 - 5 = 0. What is the smallest common multiple of i and s?
24
Let p = 0 - -1. Suppose -10*v - 16 = -12*v. What is the least common multiple of v and p?
8
Let h = 26 - 12. Let b = h + -5. Calculate the smallest common multiple of b and 2/(-1*2) - -10.
9
Suppose 3*i = -2*i + 50. What is the lowest common multiple of i and 16?
80
Suppose 3 = 2*x - 5. Suppose -j = -x*j - 60. What is the common denominator of -109/10 and (-6)/9*(-318)/j?
10
Suppose 0 = -3*l - l + j + 195, j - 205 = -4*l. What is the smallest common multiple of l and 14?
350
Let g = 12758 + -408317/32. Find the common denominator of -35/16 and g.
32
Suppose 0 = -d + 2*d - 18. What is the smallest common multiple of 16 and d?
144
Calculate the common denominator of -67/8 and 5 - 0 - 440/(-64).
8
Let f be (-1*1)/((-5)/70). Find the common denominator of -25/7 and 4/f - (-1967)/147.
21
Suppose -5*s - 1129 = -84. Calculate the least common multiple of 1/5 - s/55 and 14.
28
Suppose 0 = 5*d - 1227 - 228. Calculate the common denominator of (5/6)/((-1)/17) and ((d/(-6))/(-1))/(-4).
24
Let d be 0 + 1 - (-180)/(-22). Let j = -73/22 + d. Calculate the common denominator of j and (-1)/3*438/(-16).
8
Let h = -1/384 + 7361/384. Calculate the common denominator of -13/5 and h.
30
Let y = 7011/40 - 347/2. Find the common denominator of y and 86/45.
360
What is the common denominator of 40/12*((-391)/176 + 2) and -69/22?
88
Suppose -5*x + 3*h - 12 = 0, -4*h + 2 - 18 = 4*x. Let k = x - -1. What is the smallest common multiple of 10 and (3 + k)*1*16?
80
Let a be 0 - 5 - 0/2. Let l = 8 + a. Suppose 0 = | {
"pile_set_name": "DM Mathematics"
} |
8*y**2 - 6*y + 8*y**2 - 3*y**3. Suppose 14*d - 120 = 6*d. What is the tens digit of k(d)?
2
Suppose 2*j + 14 = -2*h - 6, 0 = 3*h + 5*j + 38. Let d be 24/9 - 2/h. What is the units digit of 9/12*(1 + d)?
3
Suppose 0 = -3*q + 14 + 7. Suppose -2*w - 13 = -q*w + 3*u, 3*u + 5 = w. Suppose w*j - 128 = 26. What is the tens digit of j?
7
Let x(n) be the first derivative of 15*n**2 + 0*n + 10*n + n**2 - 6. What is the units digit of x(4)?
8
Let o = 148 + -79. Let a = o + 1. Let u = a - 16. What is the units digit of u?
4
Suppose 0 = 95*l + 10285 - 126650 - 30410. What is the units digit of l?
5
Let d = 89 + 63. Let m = d - 61. What is the tens digit of m?
9
Suppose 31*i = 21*i + 61931 + 37309. What is the thousands digit of i?
9
Suppose -7*y - 28 = -11*y. Let s be (y/5 + -3)/((-6)/150). Suppose -2*j + s = 5*q, -5*q - 46 = -5*j - 4*q. What is the tens digit of j?
1
Let n(m) = 235*m + 38. Let v be ((-8)/(-6))/(30/45). What is the hundreds digit of n(v)?
5
Suppose -5*h + 15 = -2*h + 2*w, -4*h = -3*w - 20. Suppose -h*z = -5*a + 505, -a - 388 = -5*a - 4*z. Suppose g = 4*g - a. What is the units digit of g?
3
Let m(z) be the third derivative of -z**6/36 + z**5/15 - z**4/8 + 17*z**2. Let c(y) be the second derivative of m(y). What is the units digit of c(-1)?
8
Suppose -g = -2*x + 34, 0*g + 52 = 3*x - g. Let t(v) = 44*v + 49. What is the tens digit of t(x)?
4
Let r = -255 - -1356. Suppose -4*l + 5*u = -r, -l - u + 3*u + 273 = 0. What is the hundreds digit of l?
2
Let q(m) = -m**3 - 3*m**2 - 10*m + 534. What is the tens digit of q(-37)?
5
Let t = 531 + -524. What is the units digit of (-289685)/(-330) + -1 + t/6?
8
Let d(p) = 218*p - 264. Let j(c) = 6*c - 1. Let s(l) = d(l) + 5*j(l). What is the units digit of s(7)?
7
Suppose 0 = 3*t, a + 4*t - 286 - 59 = 0. Let g = a - 36. What is the units digit of g?
9
Let f(q) = -146*q - 116. Let x = 348 + -354. What is the units digit of f(x)?
0
Let j = 152 - 12. Suppose 2*n = -3*l + 1321, 2*l - j = -5*n + 748. What is the tens digit of l?
3
Suppose 18 - 14 = 2*w - b, -5*b = 20. Suppose 3*y - 772 = -x, w*x + 1292 = 5*y - x. What is the hundreds digit of y?
2
Let k(w) = w**2 - 4*w - 10. Let z be k(6). Let n be 5 - (4 + z + -3). Suppose -l - 322 = -5*o, n*o + l + 3*l = 120. What is the tens digit of o?
6
Suppose 44553 = 19*j - 895. Suppose 30438 = 37*l + j. What is the hundreds digit of l?
7
Let l be 47/3 + (-20)/30. Let z be ((-70)/l)/((-1)/369). What is the tens digit of z/24 - 1/(-4)?
7
Suppose 3*n - 11 = 3*v - 116, n + 26 = -2*v. Let l = n - -36. Suppose 4*g = -3*d + 152, l*d - 127 = 3*g + 59. What is the units digit of d?
8
What is the units digit of (-152)/(-50)*179*(-17 + 12)*-5?
4
What is the thousands digit of (1 + 16/(-6))*(-69)/230*152554?
6
Suppose 5*c - 1674 = 4*o - 132, o - 2 = 0. Suppose -3*q - 5*g + 328 = 0, 0 = 3*q - 11*g + 7*g - c. What is the units digit of q?
6
Let o(m) = 2*m + 1. Let h(l) = 22*l - 29. Let r(k) = -h(k) - 4*o(k). What is the units digit of r(-4)?
5
Let t(w) = w**3 + 5*w**2 - 7*w + 21. Let z(u) = -u**2 - 20*u - 56. Let y be z(-17). What is the tens digit of t(y)?
5
Let k be (144/27 + -5)/(2/42). Suppose -3*d - 1736 = -k*d. What is the units digit of d?
4
Let y(g) = -g**2 + 9*g + 140. Let b be y(17). Suppose 2*a + 3*a = -2*z + 1863, -4*a + 1468 = -b*z. What is the units digit of a?
1
Suppose 50*a - 55*a + 8530 = -3*n, -4*n = 5*a - 8495. What is the thousands digit of a?
1
Let x(g) = 7*g**3 + 6*g**2 + 18*g - 66. Let l be x(7). Let t = -1497 + l. What is the units digit of t?
8
Let y(x) be the second derivative of -893*x**3/6 + 51*x**2/2 + 199*x. What is the units digit of y(-2)?
7
Suppose 0 = 46*p - 7*p - 273. Suppose 0 = 2*n + 2*d - 1736, -4*n - 10*d = -p*d - 3473. What is the units digit of n?
9
Let w(f) = f**3 - 6*f**2 - f + 8. Let u be w(6). Suppose -x + 5 = 2*m - 6, 4*m - u*x = 42. Suppose -2*s - 66 = -m*s. What is the tens digit of s?
1
Let v = -33 + 30. What is the units digit of v*1856/(-72) - 2/6?
7
Suppose 0 = -24*k - 40044 + 112020. What is the hundreds digit of k?
9
Let p(t) = 4*t**2 - 12*t - 39. Suppose -8*d = -4*d + 20. What is the units digit of p(d)?
1
Let x(t) = 388*t**2 - 11*t + 42. What is the thousands digit of x(-6)?
4
Let u = -201 - -356. Suppose 4*y = -4*k + 124, -10*k - u = -5*y - 6*k. What is the tens digit of y?
3
Suppose 3*u + 13 = 22. Suppose u*z - 374 = -z + 2*s, 0 = 3*z + 5*s - 287. Suppose -2*d + z = -90. What is the tens digit of d?
9
Let h(m) = 326*m + 170. What is the units digit of h(2)?
2
Suppose -358*y = -351*y - 21. Suppose 3*h - y*v = 7*h - 726, -5*v + 910 = 5*h. What is the tens digit of h?
8
Let v be (4/3*6/4)/(260/520). Suppose -3*w + w + 8 = 0. Suppose 5*r - 74 = -v*l, l + 8 = -w*r + 76. What is the tens digit of r?
1
Let t = 8 - 7. Let w be (1 - 0)/(t/(-51)). Let n = w - -133. What is the tens digit of n?
8
Let w(n) = 102*n**2 - 30*n + 29. What is the units digit of w(-12)?
7
Suppose v = 56*v - 1237445. What is the thousands digit of v?
2
Suppose 5*g + 4*b = 2391, -4*g - b - 2*b = -1912. Let l = -9 + g. What is the hundreds digit of l?
4
Let m = -559 + 818. Let r = m + -103. What is the tens digit of r?
5
Suppose r + 5*z + 5 = 0, 26 = 4*r - 69*z + 66*z. Suppose 0*g + 5*g - 4316 = 4*d, -r*g + 4288 = 3*d. What is the units digit of g?
0
Suppose 107*w - 112*w = 20. What is the thousands digit of 1551 - (1/w - (-132)/(-48))?
1
Let a(c) = -27*c - 43. Let v be a(-6). Let d = 267 - v. What is the tens digit of d?
4
Let c be (171/(-6) - 2)*-2. Let l be 9/(6/(-63) - (-80)/336). Let i = l - c. What is the units digit of i?
2
Let b(w) = 45*w**2 + 154*w - 2120. What is the ten thousands digit of b(18)?
1
Suppose -124*d + 158859 = -101*d - 283546. What is the hundreds digit of d?
2
Let l(j) = j**2 + j - 26. Let o be l(5). Suppose -o*t = -v + 790 - 2137, 4*v + 348 = t. Suppose -420 - t = -21*b. What is the units digit of b?
6
Let q(s) = 98*s - 109. Let t = 421 + -412. What is the tens digit of q(t)?
7
Let z(j) = -j**2 - 8*j + 1. Let o be z(-9). What is the hundreds digit of o/12 + (-2760)/(-9)?
3
Let g(f) = 3458*f + 3052. What is the hundreds digit of g(10)?
6
Let g(x) = 15*x**2 + 6*x - 47. Let i be g(9). Suppose 27*q = q + i. What is the tens digit of q?
4
Let r(d) = d**3 + 8*d**2 - 8*d - 31. Let o be r(-6). Let l = 128 - o. What is the tens digit of l?
3
Suppose 3*y + 9 = 0, 0 = -c - 7*y + 2*y + 277. Suppose 22 = -2*o + c. What is the hundreds digit of o?
1
Let u(p) = -p**3 + 20*p**2 - 75*p - 18. Let k be u(15). What is the units digit of (k - -14) + 3 + 894?
3
Let b = 609 + -363. Let p = b + -66. What is the hundreds digit of p?
1
Let o be (-28)/14 + 1 + 16. Suppose -3*m = 5*c - 92, -4*m + 77 + o = -c. What is the tens digit of (-16)/m - 195/(-9)?
2
Suppose 361*u - 22975 = -5*h + 356*u, 3*u = 3*h - 13797. What is the thousands digit of h?
4
Let j(y) = -495*y**2 - 25*y + 17 - 2*y**3 + y**3 + 486*y**2. What is the hundreds digit of j(-12)?
7
Suppose 32 = -7*n + 3*n. Let o(l) = -16*l - 36. What is the units digit of o(n)?
2
Let k(v) = -v**2 + 17*v - 28. Let d be k(15). Suppose -57 + 909 = 2*o - d*y, -1278 = -3*o - 3*y. What is the hundreds digit of o?
4
Let r(d) = 22*d**2 - 5*d + 43. Let u be r(5). Let n = u + -179. Let y = n - 259. What is the tens digit of y?
3
Suppose 15*i - 16 - 59 = 0. Suppose -i*w = 4*h - h - 1171, -2*h + 774 = 5*w. What is the hundreds digit of h?
3
Let v(a) = 118 - 363 - 35*a + 173. What is the units digit of v(-5)?
3
Let m = 5531 - 5533. Let z be (-208)/(-7) + 2/7. What is the units digit of (25/(-3))/(m/z)?
5
Let r(m) = m**2 - 3*m + 19. Let c(s) = s**3 + 13*s**2 - 17*s - 29. Let g be c(-14). What is the units digit of r(g)?
9
Suppose 7*b = 874 - 34. Suppose 0 = -3*u + 3*x + b, 0 = -2*u - 3*x + 45 + 15. What is the units digit of u?
6
Let g = 897 - 893. Suppose 0 = -2*p - 2, g*p - 1335 = -2*x + 55. What is the tens digit of x?
9
Let y be (-20)/1*(-24)/60. Suppose y = -0*x + 4*x. Suppose -4*t = -x*t - 34. What is the tens digit of t?
1
Let m = 14477 - 11855. What is the hundreds digit of m?
6
Let q = 334 + -321. Suppose 0 = -3*h - q*h + 6464. What is the hundreds digit of h?
4
Let f = -495 - -16987. What is the thousands digit of f?
6
Suppose -688*s - 2*g = -684*s - 154446, -15 = -5*g. What is the tens digit of s?
1
Let z(n) = 4*n** | {
"pile_set_name": "DM Mathematics"
} |
s of 2323952551?
641, 3625511
List the prime factors of 33243654.
2, 3, 19, 331, 881
List the prime factors of 295889319.
3, 11, 23, 199, 653
What are the prime factors of 3722731956?
2, 3, 2437, 42433
List the prime factors of 98335073.
211, 466043
List the prime factors of 1974183565.
5, 17, 61, 22397
List the prime factors of 281650805.
5, 113, 498497
List the prime factors of 369632063.
241, 1533743
List the prime factors of 87872176.
2, 7, 784573
List the prime factors of 2182234868.
2, 11, 49596247
List the prime factors of 105005422.
2, 479, 109609
List the prime factors of 1177938014.
2, 11, 151, 354587
List the prime factors of 4347363674.
2, 251, 8660087
List the prime factors of 17849341.
19, 939439
List the prime factors of 4286188.
2, 23, 46589
List the prime factors of 33063769.
61, 631, 859
What are the prime factors of 14884714?
2, 13, 19, 29, 1039
List the prime factors of 2629647.
3, 292183
List the prime factors of 414586025.
5, 7, 2369063
List the prime factors of 551712859.
31, 191, 93179
What are the prime factors of 89267614?
2, 44633807
List the prime factors of 2260991211.
3, 17, 271, 9623
What are the prime factors of 138517077?
3, 46172359
What are the prime factors of 78459881?
67, 659, 1777
What are the prime factors of 641323806?
2, 3, 29, 337, 10937
What are the prime factors of 22914156?
2, 3, 1909513
List the prime factors of 24260334.
2, 3, 7, 577627
What are the prime factors of 4386576?
2, 3, 91387
What are the prime factors of 1493798295?
3, 5, 11, 9053323
List the prime factors of 404394868.
2, 101098717
What are the prime factors of 98364488?
2, 31, 396631
List the prime factors of 1711085447.
409, 4183583
What are the prime factors of 143880155?
5, 67, 307, 1399
List the prime factors of 11706283.
11706283
What are the prime factors of 176070690?
2, 3, 5, 1956341
List the prime factors of 108986837.
1213, 89849
List the prime factors of 115638739.
43, 53, 50741
What are the prime factors of 91476191?
91476191
What are the prime factors of 44777420?
2, 5, 547, 4093
List the prime factors of 90421425.
3, 5, 79, 5087
What are the prime factors of 143489547?
3, 113, 199, 709
List the prime factors of 67095448.
2, 7, 1198133
List the prime factors of 12043152.
2, 3, 11, 7603
List the prime factors of 274612903.
274612903
List the prime factors of 902983516.
2, 225745879
What are the prime factors of 37563897?
3, 7, 17, 43, 2447
List the prime factors of 873365945.
5, 31, 37, 152287
List the prime factors of 892745356.
2, 53, 4211063
What are the prime factors of 119341250?
2, 5, 7, 23, 593
List the prime factors of 66854614.
2, 33427307
What are the prime factors of 812183519?
7, 19, 6106643
What are the prime factors of 171114836?
2, 19, 2251511
What are the prime factors of 1030331033?
1030331033
What are the prime factors of 173008177?
173008177
What are the prime factors of 1033709356?
2, 258427339
List the prime factors of 325376553.
3, 108458851
What are the prime factors of 458041776?
2, 3, 29, 329053
What are the prime factors of 586919402?
2, 293459701
List the prime factors of 27251694.
2, 3, 504661
List the prime factors of 284975551.
7, 5167, 7879
What are the prime factors of 23173789?
281, 82469
What are the prime factors of 26311679?
61, 431339
List the prime factors of 946658403.
3, 23, 811, 5639
What are the prime factors of 51113294?
2, 25556647
List the prime factors of 312671488.
2, 1221373
List the prime factors of 15899175.
3, 5, 70663
What are the prime factors of 6427052212?
2, 7, 83, 2765513
List the prime factors of 8399934404.
2, 2099983601
What are the prime factors of 782757555?
3, 5, 677, 77081
What are the prime factors of 462998837?
7, 241, 274451
What are the prime factors of 58729752?
2, 3, 271897
What are the prime factors of 129031136?
2, 13, 37, 83, 101
What are the prime factors of 394919194?
2, 181, 1090937
What are the prime factors of 11704319?
11, 1064029
List the prime factors of 24906148.
2, 23, 270719
What are the prime factors of 106721943?
3, 29, 433, 2833
List the prime factors of 3626004375.
3, 5, 7, 17, 5417
What are the prime factors of 42641518?
2, 349, 61091
What are the prime factors of 3149787259?
3149787259
List the prime factors of 213309399.
3, 577, 123229
List the prime factors of 68318555.
5, 97, 140863
What are the prime factors of 335253410?
2, 5, 33525341
What are the prime factors of 4890115160?
2, 5, 7, 17464697
List the prime factors of 426980930.
2, 5, 42698093
What are the prime factors of 214536463?
11273, 19031
What are the prime factors of 27425179?
27425179
What are the prime factors of 32505104?
2, 2031569
List the prime factors of 165611458.
2, 82805729
What are the prime factors of 172568059?
172568059
What are the prime factors of 891664844?
2, 7, 31845173
List the prime factors of 17681001.
3, 13, 19, 107, 223
What are the prime factors of 63042843?
3, 181, 116101
List the prime factors of 3927074967.
3, 233, 251, 829
What are the prime factors of 166649482?
2, 421, 197921
List the prime factors of 1866665580.
2, 3, 5, 13, 2393161
List the prime factors of 476694493.
11, 197, 219979
What are the prime factors of 74925140?
2, 5, 31, 120847
What are the prime factors of 194242315?
5, 38848463
List the prime factors of 39320283.
3, 13106761
What are the prime factors of 135514636?
2, 33878659
What are the prime factors of 581483329?
7, 83069047
What are the prime factors of 318899484?
2, 3, 59, 50047
List the prime factors of 3469226922.
2, 3, 7, 97, 10513
What are the prime factors of 1738114887?
3, 3911, 148139
What are the prime factors of 64900746?
2, 3, 179, 20143
List the prime factors of 184026067.
223, 825229
List the prime factors of 83132819.
7, 11, 1079647
What are the prime factors of 786503665?
5, 101, 1557433
List the prime factors of 188888928.
2, 3, 1967593
What are the prime factors of 284678331?
3, 7, 571, 23741
List the prime factors of 878353234.
2, 11, 599, 66653
What are the prime factors of 205564034?
2, 13, 17, 465077
What are the prime factors of 2203005278?
2, 14197, 77587
List the prime factors of 237897908.
2, 41, 373, 3889
List the prime factors of 152906038.
2, 29, 2636311
List the prime factors of 35109369.
3, 17, 2833
What are the prime factors of 552103886?
2, 229, 1205467
List the prime factors of 57250806.
2, 3, 9541801
List the prime factors of 2366908401.
3, 11, 13, 5517269
What are the prime factors of 630979663?
13477, 46819
List the prime factors of 177968557.
13, 37, 369997
List the prime factors of 1795506493.
11, 17, 29, 53, 6247
What are the prime factors of 52201679?
17, 331, 9277
List the prime factors of 1447547867.
11743, 123269
What are the prime factors of 1354554888?
2, 3, 56439787
List the prime factors of 50864998.
2, 47, 179, 3023
What are the prime factors of 948700566?
2, 3, 11, 1597139
What are the prime factors of 3630909261?
3, 7, 1033, 23911
List the prime factors of 119778853.
577, 207589
What are the prime factors of 15155286?
2, 3, 211, 11971
What are the prime factors of 146172835?
5, 137, 213391
List the prime factors of 105325616.
2, 11, 379, 1579
What are the prime factors of 201543943?
47, 109, 39341
List the prime factors of 28662828.
2, 3, 2388569
List the prime factors of 1178164794.
2, 3, 1823, 107713
What are the prime factors of 7166447?
7166447
List the prime factors of 439084394.
2, 7, 4480453
What are the prime factors of 1112458478?
2, 17, 5309, 6163
List the prime factors of 497771604.
2, 3, 11, 433, 2903
List the prime factors of 985704683.
22409, 43987
What are the prime factors of 640116311?
59, 10849429
What are the prime factors of 8310759?
3, 31, 89363
List the prime factors of 90197041.
11, 107, 197, 389
List the prime factors of 910180871.
37, 43, 271, 2111
What are the prime factors of 243580777?
11, 17, 1302571
List the prime factors of 111682686.
2, 3, 3557, 5233
What are the prime factors of 47066012?
2, 7, 1680929
What are the prime factors of 326870918?
2, 11, 14857769
List the prime factors of 51508220.
2, 5, 2575411
List the prime factors of 5433969734.
2, 6869, 395543
List the prime factors of 269044212.
2, 3, 239, 93809
List the prime factors of 83060132.
2, 229, 90677
What are the prime factors of 13432143?
3, 4477381
List the prime fa | {
"pile_set_name": "DM Mathematics"
} |
git of b?
3
Let a = 1 - 3. Let b = a - -4. Suppose -q - 4 = -3*j + 4*q, -b*j + 4*q = 0. What is the units digit of j?
8
Let g = 13 - 3. Let n(o) = 25*o**3 + o**2 + 2*o + 1. Let b be n(-1). What is the units digit of (g/b)/(2/(-60))?
2
Let k = -50 - -71. What is the units digit of k?
1
Suppose 4*j = -4*m + 84, 2*j + 3*m = 4*m + 54. Suppose j = 3*x - 17. What is the units digit of x?
4
What is the units digit of (-2 - -3)/(2/34)?
7
Let l(c) = c**3 - 7*c**2 - 9*c + 1. What is the tens digit of l(9)?
8
Suppose -5*h = 5*m - 30, -4*h + 37 = -4*m - 27. Let f = -25 + 18. Let j = h + f. What is the units digit of j?
4
Let x be (-2)/6 + 73/3. Suppose -18 = -w - 2*w. Suppose -w*k = -3*k - x. What is the units digit of k?
8
Let d(x) = -2*x - 15. Let f be d(-10). Suppose f*h = -2*y + 26, -3*y - y = 2*h - 68. What is the tens digit of y?
1
Let q be (1 + -2)*(-27)/(-3). Let j(s) be the second derivative of s**4/12 + 3*s**3/2 + 6*s**2 + s. What is the units digit of j(q)?
2
Let v(t) = t**2 + 5*t - 4. Let j be v(-5). Let z be (6/(-9))/(j/30). Suppose -o - 2*o + 9 = -w, w = z*o - 19. What is the units digit of w?
6
Suppose -12 - 40 = -4*f. What is the units digit of f?
3
Suppose 2*k + 0*r = 3*r - 3, -4*k + 4 = -4*r. Suppose -5*c = -k*c + 36. What is the units digit of c?
6
Suppose 5*s - 124 = 71. What is the tens digit of s?
3
Let t be 6*(1/(-3) - 0). Let v be 1*(t - -17)/3. Suppose 0 = -v*d - 2*z + 38, -d = -z - 0*z - 2. What is the units digit of d?
6
Let j = -72 - -42. Let k = j - -52. Suppose -o - v + 6*v = -k, 16 = o - 2*v. What is the tens digit of o?
1
Let p be 1*1/(-2)*0. Suppose 5*n + a - 154 = p, -30 = n - 2*n - a. Suppose 4*c = 1 + n. What is the units digit of c?
8
Suppose -3*k + 5 + 7 = 0. Suppose 61 = k*t - 15. What is the units digit of t?
9
Suppose n - 10 = -68. What is the units digit of n/(-7) - (-4)/(-14)?
8
Let x(u) = -2*u**3 - u**2 + 3*u - 1. Let s be x(-3). Suppose -2*m = -0*m - 2*f - 14, 4*m - s = -3*f. What is the units digit of m?
8
Let g = -4 - -8. Suppose 5*p - g*p = 22. What is the tens digit of p?
2
What is the units digit of (-25)/(4/(-56)*1)?
0
Let x be 4*1/(-4)*-4. What is the units digit of (-1 - x/2) + 8?
5
Suppose l - 10 = -l. What is the units digit of l?
5
What is the units digit of (-223)/(-9) + (-14)/(-63)?
5
Let p(n) = -4*n + 3. Let j(r) = -2*r + 1. Let w(x) = -5*j(x) + 2*p(x). Let k be w(1). Suppose 0 = 3*a - a, k*f + 3*a = 15. What is the units digit of f?
5
Let u = -13 + -30. Let c = -22 - u. Let f = -11 + c. What is the tens digit of f?
1
Let i = 10 - 7. Let b be -8*-2*(-2)/4. Let g = i - b. What is the tens digit of g?
1
Let b(l) = -5*l + 4. Let a be b(-4). Suppose -5*f = -f + a. What is the units digit of 7/3 - f/(-18)?
2
Suppose -3*i + 2*i = -4*d + 169, 0 = 4*d + 4*i - 144. What is the tens digit of d?
4
Let l(s) = -s**3 + 8*s**2 - 9*s + 8. What is the tens digit of l(6)?
2
Suppose 2 = j - k + 2*k, -5*j + 3*k + 26 = 0. Suppose -3*h = -j + 1, 5*h = 5*b - 170. What is the tens digit of b?
3
Suppose 0 = 5*a - 248 - 72. Suppose -m - a - 57 = -4*v, -5*v = -4*m - 154. What is the tens digit of v?
3
Suppose 4 = 4*n - 4. Suppose -n = m + 23. What is the tens digit of (-5)/m + 128/10?
1
Let d(i) = -i**3 + 2*i**2 - 2*i - 1. Let q be d(2). Let b = q - -8. What is the units digit of b?
3
Let b(h) = 2*h**2 - 9*h - 7. Let y be b(7). Suppose -q + y = 2*i, q + 2*q = -3*i + 42. What is the tens digit of i?
1
Let g = -18 - -21. Suppose 4*c = 2*v, -5*v + 12 = g*c - 1. What is the units digit of c?
1
Let f(j) = 2*j**2 - j + 1. What is the units digit of f(-4)?
7
Let t(p) = -p**2 + 10. Suppose -r - 2*r = 0. What is the tens digit of t(r)?
1
Suppose 4*f - 20 = 8. What is the units digit of f?
7
Let w(x) = -x**2 - 14*x + 4. Let t be w(-14). Suppose -4*h = -t*k - 48 - 136, -k - 148 = -3*h. What is the tens digit of h?
5
Let l = 4 - 4. Suppose l = -3*j + 6*j - 108. What is the units digit of j?
6
Let a(p) = p**2 + 0 - p**2 + 3 + 2*p + p**2. What is the units digit of a(-3)?
6
Suppose -k - 3*g = k - 6, k - 3*g + 6 = 0. Let a = -73 + 87. Suppose 3*c + 2*r + 0*r - 14 = k, 2*c - a = r. What is the units digit of c?
6
What is the tens digit of (-496)/(-10) - (-28)/70?
5
Suppose 3*b = 4*b - 22. What is the units digit of b?
2
Suppose -4*n = 4 - 20. What is the units digit of (n + -3)/((-5)/(-25))?
5
Suppose 2*v + 4*v - 558 = 0. What is the tens digit of v?
9
Let n = 2 + 0. Suppose 9 = 2*b + n*b + 3*f, b - 26 = 4*f. What is the units digit of 4/b - 39/(-9)?
5
Suppose 6*v - 2*v = 0. What is the units digit of 40/5 + (v - 2)?
6
Let b = 50 - 33. What is the tens digit of b?
1
Suppose -16 = -4*n - 4*t, n - 5*n - 5*t + 14 = 0. Suppose 2*v + 144 = n*v. Suppose 4*a + 8 = v. What is the units digit of a?
7
Let w = 574 - 386. What is the hundreds digit of w?
1
Suppose -3*o - 2*o = -20. Suppose 5*q + 3 = -3*k, -q + 2*k + 2 = -6*q. Suppose -2*f + q*f = -5*t + 40, 4*f = -o*t + 60. What is the units digit of t?
0
Let u = 8 - -36. Suppose 4*y + 0*y = u. What is the tens digit of y?
1
Let k = -10 - -13. Suppose 0 = -3*d + 4*v + 32, -k*d = d - 4*v - 40. What is the units digit of d?
8
Suppose 5*w = 6*f - f - 40, 3*w = 12. What is the units digit of f?
2
Suppose -4*l + 27 = 2*n - 5, -2*l = 2. Suppose -n = -5*z + 7. Suppose z*u = 41 + 34. What is the tens digit of u?
1
Let i(v) = -2*v + 6. Let t = 1 + -8. Let c be i(t). Suppose 2*d + 0*d - c = 0. What is the tens digit of d?
1
Let n = 128 + -41. What is the tens digit of n?
8
Suppose 34*l - 32*l - 276 = 0. What is the units digit of l?
8
Suppose -3*x = -6*x + 3*v - 15, x = -2*v + 1. What is the tens digit of 13 - (x - (-2 + 2))?
1
Suppose -2*k = k + 4*c - 44, -c + 45 = 5*k. What is the units digit of k?
8
Suppose 1 + 2 = -2*m - z, 0 = 3*m + 2*z + 6. Suppose -c + r + 4 = m, 0 - 4 = -2*r. Let x(l) = 2*l - 1. What is the tens digit of x(c)?
1
Let v(d) = -2*d + 3*d + 0*d**2 + 4*d**2 + 3 - d**3. What is the units digit of v(4)?
7
Suppose -3*y + 114 = -0*y. What is the units digit of y?
8
Suppose -2*y + 384 = 2*b, 5*y - 224 = -b - 24. What is the units digit of b?
0
Let s be ((-16)/(-3))/((-8)/(-12)). Suppose -3*a - s - 13 = -5*v, 4*v = -4*a + 4. Suppose 0 = -c - 5*j + 26, v*c + 2*c = j + 78. What is the units digit of c?
6
Let r = -194 - -274. Let s = 119 - r. What is the tens digit of s?
3
Let q = -108 + 268. What is the hundreds digit of q?
1
Suppose -4*m = -5*m + 4*f + 50, -2*m - 5*f + 35 = 0. What is the units digit of m?
0
Suppose j = 4*v - 5*v, -3*v - 2*j = 0. Let o be 4/(1*(2 + v)). Suppose -20 = -2*t - o. What is the units digit of t?
9
Let g(y) = 6*y**3 - y + 1. Let c = -8 + 9. What is the units digit of g(c)?
6
Let u(t) = -5*t**3 + t**2 - t - 1. Let y be u(-1). Suppose 0 = -3*a + 42 - y. What is the units digit of a?
2
Let o = 3 + -11. Let x be (-27)/(-3) + 20/5. Let p = o + x. What is the units digit of p?
5
Let s(h) = -3*h**2 + 2 + 2*h - h**2 + 3*h**2 + 2*h. Let r(t) = t - 2. Let k be r(6). What is the units digit of s(k)?
2
Suppose -4 = 2*g - 58. What is the tens digit of g?
2
What is the units digit of 12*(-5)/(-2) + -3?
7
Suppose 4*r = 3*r + 2. Suppose 21 = d + r*d. What is the units digit of d?
7
Let q(u) = 2*u**2 - 21*u + 46. What is the hundreds digit of q(14)?
1
Suppose 3*i + 40 = 181. Let p = 73 - i. What is the units digit of p?
6
Let i(u) = u**3 - 4*u**2 - 3*u - 3. Let a be i(5). Let v = 1 + a. What is the units digit of v?
8
Let t = -53 + 36. Suppose -5*m = -m + 48. Let f = m - t. What is the units digit of f?
5
Let a = -14 + 21. What is the units digit of a?
7
Suppose 0 = 2*p - 4*l + 19 + 15, 7 = -p + 4*l. Let j = -15 - p. Suppose -4*d - f = -18, 0 = 4*d + 4*f - j - 0. What is the units digit of d?
5
Let w = 6 - -135. What is the units digit of w?
1
Let z be -39*3/((-27)/6). Suppose 4*u = z - 2. Suppose 3*j - u*j = -39. What is the tens digit of j?
1
Let r be 1/2 + (-57)/(-6). Let g be (r + -9)/((-1)/(-9)). Suppose 0*f = -f + g. What is the units digit of f?
9
Suppose -4*r + 18 = -r. Let u(z) = z**3 - 5*z**2 - 5*z + 3. What is the units digit of u(r)?
9
Let j(d) = 12*d**2 + 2*d - 1. What is the units digit of j(-2)?
3
Let w = 42 + -8. What is the tens digit of w?
3
Let a = -9 + 6. What is the units digit of a + -1 + 6 - 0?
2
Suppose -10 = 3*g - 4*g. What is the units digit of 2/g + (-445)/( | {
"pile_set_name": "DM Mathematics"
} |
of h(w) wrt w?
120*w**2
Let s(v) = v - 2. Let n be s(6). Let g be 3/(-12) - (-9)/n. Find the second derivative of -2*p**2 - p + p**g + 0*p wrt p.
-2
Differentiate 16 + 33 + 123*j**2 - 2 - 151*j**2 wrt j.
-56*j
Find the second derivative of 0*s**4 - 4*s**4 + 8*s**4 + s + 3*s wrt s.
48*s**2
Let s(c) be the second derivative of 2*c**6/3 + 5*c**2/2 + 19*c. What is the derivative of s(q) wrt q?
80*q**3
Let r(q) be the second derivative of 11*q**4/12 - 19*q**3/6 - 13*q. Find the second derivative of r(c) wrt c.
22
Let p(s) = -23*s**4 + 12*s**2 - 6*s - 6. Let d(v) = -24*v**4 + 12*v**2 - 7*v - 7. Let n(g) = 6*d(g) - 7*p(g). What is the third derivative of n(l) wrt l?
408*l
Let n = 9 - 7. What is the third derivative of r**2 + 4*r**2 - 3*r**5 - r**n wrt r?
-180*r**2
Let x(k) = 2*k + 15. Let v(o) = o + 1. Let f(c) = -12*c - 24. Let d(w) = f(w) + 10*v(w). Let s(i) = -7*d(i) - 6*x(i). Differentiate s(z) with respect to z.
2
Let w(g) be the second derivative of 5/6*g**3 + 0 + 1/6*g**6 + 0*g**5 + 0*g**2 + 0*g**4 + 5*g. What is the second derivative of w(n) wrt n?
60*n**2
Find the third derivative of c**3 - c - 9*c**3 + 9*c**2 + c wrt c.
-48
Let c(l) = l - 1. Let w(f) = -4*f + 11. Let p(k) = 3*c(k) + w(k). Let h be p(6). What is the third derivative of -2*d**3 + 0*d**h - 5*d**2 + 4*d**2 wrt d?
-12
Suppose -w - 3 = -3*p + 5*p, 0 = 3*p + 9. What is the second derivative of -w*g**3 + 0*g**3 + 4*g - 2*g + 0*g**3 wrt g?
-18*g
Let r(m) be the third derivative of m**9/756 - 7*m**5/120 + m**3/2 + 6*m**2. Let s(c) be the first derivative of r(c). Find the second derivative of s(w) wrt w.
80*w**3
Let h = -12 - -14. Let k be (-9)/(-2)*4/6. Differentiate 0*p**h + 1 + p**k + 0*p**2 wrt p.
3*p**2
Suppose 0 = 4*j - 9*j + 10. What is the third derivative of 4*i**2 - 3*i**2 - j*i**4 + 5*i**4 wrt i?
72*i
Let s(a) be the third derivative of 0*a - 1/6*a**3 - 6*a**2 - 1/24*a**4 + 0. Find the first derivative of s(q) wrt q.
-1
Let q(d) be the third derivative of d**6/120 - d**3/6 + 15*d**2. Differentiate q(p) with respect to p.
3*p**2
Let x(g) = -3*g**3 + g**2 - 2*g - 10. Let u(h) = -13*h**3 + 5*h**2 - 9*h - 41. Let j(b) = 4*u(b) - 18*x(b). What is the derivative of j(c) wrt c?
6*c**2 + 4*c
Suppose -t - 13 = 4*y, 2*t + 6 = -4. Let i = y + 5. What is the derivative of -4*q**2 - i - q**2 + 6*q**2 wrt q?
2*q
Let c = 1 + -1. Let n(a) be the first derivative of c*a**3 - 2 + 0*a - 1/2*a**2 + 1/2*a**4. What is the second derivative of n(s) wrt s?
12*s
What is the second derivative of -288*q**2 + 290*q**2 - 2*q + 13*q wrt q?
4
Let g(q) be the third derivative of 0*q - 7/6*q**3 - 4*q**2 + 0 + 1/8*q**4. Find the first derivative of g(n) wrt n.
3
Let z(p) be the first derivative of -p**6/15 - p**3/6 + 3*p - 1. Let h(d) be the first derivative of z(d). What is the second derivative of h(y) wrt y?
-24*y**2
Let a(w) = -15*w**3 + 6*w**2 + 4. Let n(t) = 45*t**3 - 17*t**2 - 11. Let j(z) = 11*a(z) + 4*n(z). What is the third derivative of j(u) wrt u?
90
What is the second derivative of -62*u**2 - 28*u**3 + 62*u**2 - 24*u wrt u?
-168*u
Suppose -w + 0 = -2. What is the second derivative of -y**4 + 2*y - 3*y + y**4 + w*y**4 wrt y?
24*y**2
Let c be 13/(-2) + (-9)/6. Let v = -4 - c. Find the second derivative of 7*m**3 + v*m + 3*m**2 - 3*m**2 - 6*m**3 wrt m.
6*m
Suppose -25 = 5*f, f - 3 = -2*n - 4. Let d = n + 2. What is the third derivative of 2*v**4 - 3*v**d - v**2 + 3*v**2 wrt v?
-24*v
Differentiate -4 + 2 + 7*l + 4 with respect to l.
7
Suppose -5*d + 164 = 2*o, 3*d - 78 = -5*o + 28. Suppose -4*g + 2*i + 7 = -17, d = 4*g - 4*i. What is the derivative of -g + 0 + 4 - y**2 - 1 wrt y?
-2*y
Let n = -15 - -8. Let h(l) be the second derivative of 11*l**4/12 - 3*l**2 + 3*l. Let s(o) = 6*o**2 - 3. Let w(v) = n*s(v) + 4*h(v). Differentiate w(i) wrt i.
4*i
Let g = -3 + 15. Suppose 2*r - b - g = -5*b, -5*b = -4*r + 11. Find the first derivative of -r + 3 - 2*k**2 - 2 wrt k.
-4*k
Find the third derivative of 159*n**4 - 9*n**6 - 159*n**4 + 4*n**2 wrt n.
-1080*n**3
Let q(j) be the first derivative of 3*j**5/20 + j**4/12 + 4*j + 4. Let r(i) be the first derivative of q(i). Find the third derivative of r(t) wrt t.
18
Suppose 0*d = 3*d - 9. What is the second derivative of i**5 - 2*i**5 + d*i**5 + 2*i + 0*i wrt i?
40*i**3
Let l(a) be the third derivative of a**8/56 + a**5/30 - 11*a**2. What is the third derivative of l(t) wrt t?
360*t**2
Let w(f) be the third derivative of -f**6/120 + f**5/15 - f**4/12 - f**3/2 + 2*f**2. Let p be w(3). What is the derivative of 3 + p - k**4 - 4 wrt k?
-4*k**3
Differentiate 72*v**4 - 62*v**4 + 2 + 7 with respect to v.
40*v**3
Let n be 25/10 + (-1)/(-2). What is the second derivative of -4*a + 0*a - 4*a**n + 0*a wrt a?
-24*a
Let j(o) be the third derivative of -2*o**2 + 0 + 1/21*o**7 + 0*o**3 + 0*o**5 + 1/12*o**4 + 0*o + 0*o**6. Find the second derivative of j(n) wrt n.
120*n**2
Let f(k) be the second derivative of k**5/5 + 7*k**3/6 - 10*k. Find the second derivative of f(o) wrt o.
24*o
Let d(a) be the third derivative of a**5/12 - a**3/6 + 2*a**2. Differentiate d(v) wrt v.
10*v
What is the second derivative of -11*k**3 - 5*k + 8*k - 6*k**3 wrt k?
-102*k
Let x(b) be the second derivative of b**6/6 + 3*b**2 + 5*b. What is the first derivative of x(i) wrt i?
20*i**3
Let q(f) = -f + 12. Let g be q(10). Suppose -g*x + 7 - 1 = 0. What is the first derivative of -1 - 3*c + x*c + 2*c wrt c?
2
Let v(u) be the third derivative of 25*u**4/12 - 4*u**3 - 4*u**2 + 10. Find the first derivative of v(l) wrt l.
50
Let t(x) be the third derivative of 0*x + 0*x**3 - 1/8*x**4 + 1/60*x**6 - 6*x**2 + 0 + 0*x**5. Find the second derivative of t(j) wrt j.
12*j
Let z(j) = -11*j**5 + 2*j**4 + 2*j + 2. Let v(c) = 34*c**5 - 7*c**4 + c**2 - 7*c - 7. Let s(l) = -2*v(l) - 7*z(l). Find the third derivative of s(f) wrt f.
540*f**2
Let y(u) = -u**5 + u**4 + u. Let q = 20 - 21. Let c(m) = m**5 + 5*m**4 + 14*m. Let h(t) = q*c(t) + 5*y(t). What is the second derivative of h(s) wrt s?
-120*s**3
Let p(d) be the third derivative of 1/6*d**3 + 0*d - 5*d**2 + 0 + 5/24*d**4. What is the first derivative of p(s) wrt s?
5
Let b(m) be the first derivative of -m**5 - 6 - 1/2*m**2 + 0*m**3 + 0*m**4 + 0*m. What is the second derivative of b(t) wrt t?
-60*t**2
Suppose -18 = m - 4*m. Find the third derivative of j**2 - 8*j**4 + m*j**2 - j**2 + 12*j**4 wrt j.
96*j
Let k(l) be the first derivative of 2/3*l**3 + 1 + l + 0*l**2. Find the first derivative of k(m) wrt m.
4*m
Let j(k) be the second derivative of 0 + 0*k**2 + 0*k**3 + 3*k + 0*k**5 - 1/4*k**4 + 1/30*k**6. Find the third derivative of j(g) wrt g.
24*g
Let i = 3 + -1. Suppose 0 = 5*x - 7 - 3. What is the first derivative of 0*f + x + f + i*f wrt f?
3
Let b(i) be the third derivative of -7*i**2 + 0*i**3 - 1/112*i**8 + 1/24*i**4 + 0*i**7 + 0*i**6 + 0*i + 0 + 0*i**5. What is the second derivative of b(x) wrt x?
-60*x**3
Find the first derivative of -41*c + 29*c - 4 + 24*c wrt c.
12
Let g = 3 + 1. Differentiate -2*u**3 + 2*u**3 - u**g + 2 - 2*u**4 with respect to u.
-12*u**3
Let k(y) be the third derivative of y**9/15120 + y**6/240 + y**5/12 + 4*y**2. Let i(c) be the third derivative of k(c). Find the first derivative of i(f) wrt f.
12*f**2
Let p be 1/5*10/8. Let x(s) be the first derivative of 0*s**3 + 0*s**2 - 3 - p*s**4 + 3*s. Find the first derivative of x(b) wrt b.
-3*b**2
Let i(y) = -3*y - 6. Let m be i(-3). Find the second derivative of m*r - 4*r**2 + 2*r - 6*r wrt r.
-8
Find the third derivative of -t**2 - 12*t**5 + 6*t**2 + 0*t**2 wrt t.
-720*t**2
Let r be (-9)/6*(-4)/3. What is the third derivative of -10*l**r + 203 - 203 - 6*l**5 wrt l?
-360*l**2
Find the third derivative of -95*j + 5*j**2 + 95*j + j**2 + 31*j**3 wrt j.
186
What is the third derivative of -3*i**3 - 42*i**2 + 7*i**3 + 7*i**6 - 4*i**3 wrt i?
840*i**3
Find the third derivative of 1 - b**2 + 5*b**3 - 1 + 5*b**2 wrt b.
30
Let s be (-22)/(-5) + (-27)/(-45). What is the third derivative of 0*o**4 - s*o**4 - 4*o**2 + o**4 - 7*o**2 wrt o?
-96*o
Let v(m) = 5*m**3 - 24. Let r(q) = -14*q**3 + 72. Let n(s) = 2*r(s) + 7*v(s). What is the first derivative of n(l) wrt l?
21*l**2
Let c(f) = -1 - f + 4*f + 6 - 1. Let x(t) = -t**2 + 9*t + 11. Let y(a) = -11*c(a) + 4*x(a). Find the second derivative of y(q) wrt q.
-8
L | {
"pile_set_name": "DM Mathematics"
} |
(o) = 1558*o**2 - 14*o + 14. Let h(u) = -3*j(u) - 7*m(u). Determine h(v(g)).
12576*g**4
Let g(s) = -14*s**2 - 1866*s + 2. Let o(r) = -45*r. What is g(o(c))?
-28350*c**2 + 83970*c + 2
Let d(s) = -s. Suppose -4*f + 502 = -o, f - 4*f + 369 = 3*o. Let v(x) = 125 - 712*x - f + 47*x. Give d(v(c)).
665*c
Let r(p) = -2*p - 19. Let q(m) = 14*m + 114. Let s(g) = -q(g) - 6*r(g). Let c(y) = 532*y. What is c(s(v))?
-1064*v
Suppose -v - 17 = -5*i + 8, 13 = -3*i - 5*v. Let o(f) = -4*f + 2*f**2 - 14*f**2 + i*f. Let l(w) be the third derivative of w**4/24 - 22*w**2. Determine o(l(z)).
-12*z**2
Let s(h) = -10*h**2 - h - 3. Let n be s(-1). Let x be -100*(3/n - 0). Let f(z) = 6*z + 8*z - x*z. Let v(j) = 3*j**2. Give v(f(r)).
363*r**2
Let j(y) = -18 - 15 - 2*y - 16 + 47. Let t(o) = 8*o. Determine j(t(c)).
-16*c - 2
Let l(r) = 15*r. Let d be (0/2 - 1) + (155 - 13). Let t = d - 84. Let i(w) = -31*w + t*w - 27*w. Determine i(l(b)).
-15*b
Let l(b) = 196090*b. Let u(t) = -8*t**2 - t. Give u(l(r)).
-307610304800*r**2 - 196090*r
Let g(n) = -4*n. Let b(c) = 473*c. Let o(h) = 2*b(h) + 110*g(h). Let l(p) = 16*p**2. Calculate l(o(q)).
4096576*q**2
Let j(m) = 119*m. Let z(f) = 161*f. Let l(w) = 3102*w. Let u(k) = 4*l(k) - 77*z(k). What is j(u(a))?
1309*a
Let c(q) = 57*q. Let y(p) = -1831*p + 890*p + 912*p. What is y(c(g))?
-1653*g
Let y(w) = -21*w**2. Suppose 0 = -39*v + 12*v + 14*v. Let f(n) be the third derivative of -18*n**2 - 1/30*n**5 + 0*n**3 + 0 + 0*n**4 + v*n. Calculate y(f(s)).
-84*s**4
Let d(o) = 65*o**2. Let i(t) = -55*t - 12*t + 1 + 74*t - 24*t - 14*t. What is d(i(h))?
62465*h**2 - 4030*h + 65
Let y(p) = -p - 2. Let q(l) = -128*l - 642. Give q(y(k)).
128*k - 386
Let o(g) = 487*g**2. Let w(h) = -2*h**2 + 50790. Calculate w(o(t)).
-474338*t**4 + 50790
Let v(z) = -2*z. Let p(w) be the first derivative of -76*w**2 - 1206. What is p(v(q))?
304*q
Let p(g) = -g. Let q(u) = -226*u**2 + 465*u - 6. What is q(p(s))?
-226*s**2 - 465*s - 6
Let t(v) = 16*v - 1. Let y(k) be the first derivative of -57*k**2/2 + k + 10902. What is t(y(n))?
-912*n + 15
Let x(h) = h. Let g(i) be the first derivative of -9/20*i**5 + 0*i**4 - 9*i**2 + 0*i**3 + 2 + 0*i. Let a(q) be the second derivative of g(q). Determine a(x(j)).
-27*j**2
Let q(g) = 3*g. Let k(l) = -4*l + 30. Let w be k(0). Suppose -3*z = -3*y - w, -y + 20 = 2*z + y. Let f(v) = -5*v + 8*v - z*v**2 - 3*v. Determine f(q(a)).
-90*a**2
Let y(o) = -4*o**2 + 11*o**2 + 14 - 14. Let r(m) = -15*m**2 - 2*m - 2. Let s(q) = 418*q**2 + 57*q + 57. Let b(a) = -57*r(a) - 2*s(a). What is b(y(w))?
931*w**4
Let v(b) = -78 + 28 + 53 - 5*b. Let o(s) = 6*s**2. What is v(o(i))?
-30*i**2 + 3
Let r(g) = 9133*g. Let x(t) = t**2 + 79244*t. Give r(x(u)).
9133*u**2 + 723735452*u
Suppose 3*w = 5*q - 16, -4*w - 5*q + 13 = -8*w. Let l be 0/(-2) - (-1 - w). Let s(y) = 226*y - 226*y + l*y**2. Let p(i) = -i**2. Calculate s(p(m)).
4*m**4
Let l(j) = -47*j**2 + 17. Let y(b) = 16*b**2 - 6. Let n(i) = -6*l(i) - 17*y(i). Let k(f) be the second derivative of -f**4/6 - 21146*f. Give n(k(d)).
40*d**4
Let c(l) = 3*l. Let f(j) = -369029*j**2 + 197*j. Determine f(c(t)).
-3321261*t**2 + 591*t
Let t(s) = 15811*s**2. Let u(o) = 61*o**2. Determine u(t(y)).
15249250981*y**4
Let c(n) = -1769*n. Let r(x) = 2731*x + 1. Determine r(c(g)).
-4831139*g + 1
Let j(r) = 144*r - 220*r + 176*r + 79*r. Let b(q) = 10*q**2. Determine b(j(t)).
320410*t**2
Let o(y) = 3*y - 5087. Let s(m) = -9*m - 23. Give o(s(p)).
-27*p - 5156
Let k(s) = s**2 + 548. Let o(m) = 38*m + 6. Let z(d) = -13*d - 2. Let b(r) = -o(r) - 3*z(r). Give b(k(g)).
g**2 + 548
Let g(r) = 4*r. Let f(a) = -428*a**2 + 2*a - 162 + 109 + 53. Calculate f(g(m)).
-6848*m**2 + 8*m
Let w(l) = -l - 6488. Let f(n) = 6*n**2 - 10*n. Calculate w(f(m)).
-6*m**2 + 10*m - 6488
Let r(m) = -12394444*m. Let d(j) = -4*j. Give d(r(n)).
49577776*n
Let i(v) = 3*v**2. Let g(b) = -2. Let t(h) = -2*h - 14. Let p(a) = -90*g(a) + 5*t(a). Give i(p(r)).
300*r**2 - 6600*r + 36300
Let f(a) = 6*a**2 + 2*a + 499. Let i(p) = 128*p + 7. Determine f(i(k)).
98304*k**2 + 11008*k + 807
Let h(m) = 2*m. Let r(s) = 11169695*s. What is r(h(y))?
22339390*y
Let x(q) = -7*q. Let h(t) = -5*t - 3*t - 5*t. Let i(l) = 6*h(l) - 11*x(l). Let s(b) = -234*b**2. Determine i(s(w)).
234*w**2
Let c(l) = 72*l**2. Let u = -36 - -45. Let r(v) = -7*v - 2*v + 2*v + u*v. Give r(c(f)).
144*f**2
Let f(m) = 2711*m**2 + 10*m - 10. Let n(h) = 11014794*h**2 + 40635*h - 40635. Let k(v) = 16254*f(v) - 4*n(v). Let y(u) = u**2. What is y(k(o))?
29354724*o**4
Let j(x) be the first derivative of x**5/10 + 3*x**2 + 5*x + 11. Let d(p) be the second derivative of j(p). Let o(n) = -9*n. Determine o(d(i)).
-54*i**2
Let c(s) = 241*s**2. Let v(r) = -140*r. Let u(x) = -83*x. Let k(f) = 5*u(f) - 3*v(f). Give c(k(l)).
6025*l**2
Let n(h) = 3560*h + 2. Let o(b) = 14*b - 3. What is n(o(r))?
49840*r - 10678
Let b(c) = -c**2 + 2*c. Let v(o) = 4*o**2 - 12*o. Let j(w) = 6*b(w) + v(w). Let u(g) = -5*g - 2. Let x(s) = s + 1. Let p(z) = u(z) + x(z). Determine j(p(i)).
-32*i**2 - 16*i - 2
Let c(a) = -38*a - 25. Let s(v) = 390*v**2 - v - 2. Give c(s(p)).
-14820*p**2 + 38*p + 51
Let k(q) = -3*q. Suppose -3*m = 9*a - 11*a + 2, 3*m + 5 = 5*a. Let y(p) be the third derivative of -15*p**2 + 5/6*p**4 + 0*p + 0*p**3 + m. What is y(k(d))?
-60*d
Let f(n) = 68*n**2 + 2. Let x(l) = -13*l + 4. Let b(g) = 43*g - 13. Let u(j) = 4*b(j) + 13*x(j). Give f(u(r)).
612*r**2 + 2
Let s(k) = 13923200*k. Let n(z) = z**2. Determine s(n(v)).
13923200*v**2
Let z(r) = 44945*r - 912. Let w(i) = -3*i**2. Determine z(w(m)).
-134835*m**2 - 912
Let p(y) = 12*y**2. Let r(n) = -1 - 10*n - 12 + 22*n - 3*n - 16*n. What is r(p(k))?
-84*k**2 - 13
Let t(j) = j. Let m(c) = 673294153*c**2. Give t(m(k)).
673294153*k**2
Let n(w) = -29*w**2. Let m(k) be the third derivative of 79*k**4/8 + 7848*k**2. Give n(m(j)).
-1628901*j**2
Let l(y) = -3*y. Let g(t) = 4*t**2 - 105*t + 3. Let m(b) = 6*b**2 - 190*b + 5. Let a(s) = -5*g(s) + 3*m(s). Determine a(l(h)).
-18*h**2 + 135*h
Let s(z) be the second derivative of 0*z**3 + 21*z + 0*z**2 - 2 - 1/4*z**4. Let y(r) = 38*r. Determine s(y(v)).
-4332*v**2
Suppose 5*h - 4*d - 102 = 0, -80*h - 2*d = -76*h - 66. Let v(y) be the first derivative of -h - 4/3*y**3 + 0*y**2 + 0*y. Let z(t) = -10*t**2. What is z(v(l))?
-160*l**4
Let i(d) = 27*d**2. Let j(s) = 6 - 128*s + 376*s - 123*s - 126*s. Calculate j(i(h)).
-27*h**2 + 6
Let w(p) be the first derivative of 0*p**3 + 0*p**4 + 1/60*p**5 + 23 + 0*p - 7*p**2. Let r(g) be the second derivative of w(g). Let d(b) = -23*b. Give d(r(t)).
-23*t**2
Let o = -4579 + 4582. Let r(h) be the third derivative of 0 + 1/6*h**4 + 5*h**2 + 0*h + 0*h**o. Let z(f) = f**2. Calculate r(z(q)).
4*q**2
Let x(p) = 3*p**2 + 2*p - 4. Let r(h) = -25*h**2 - 17*h + 34. Let i(q) = -6*r(q) - 51*x(q). Let c(a) = a - 27. Calculate c(i(f)).
-3*f**2 - 27
Let n(h) = h**2. Let i be -6*(-7 + 4/1 + 1). Let b(o) = 7*o**2 - 7*o**2 - i*o**2. What is b(n(m))?
-12*m**4
Let j be (-6 + 24/4)/(2/(-2)). Suppose 11*z - 12 - 21 = j. Let o(x) = 0 + 31*x - z + 3. Let t(k) = 2*k**2. What is o(t(g))?
62*g**2
Let i(f) = 40*f**2. Let o(v) = 1951*v - 102. What is o(i(l))?
78040*l**2 - 102
Suppose -10869 = -296*q + 1730 - 1647. Let z(h) be the first derivative of 0*h**2 + q - 5/3*h**3 + 0*h. Let l(r) = 6*r. What is z(l(j))?
-180*j**2
Let o be ((-20)/14)/(2/(-14)). Let w be (9910/o)/((2/4)/1). Let y(t) = -1982*t + 7*t**2 + w*t. Let x(a) = a. Calculate y(x(d)).
7*d**2
Let y(m) be the first derivative of -m**5/3 - m**3/3 - 2*m**2 + 14*m + 110. Let d(a) be the second derivative of y(a). Let p(x) = 2*x. Give p(d(n)).
-40*n**2 - 4
Let g(a) = 3*a**2. Let t(r) = 28247406*r**2. Give g(t(m)).
2393747837186508*m**4
Let m(o) = -10*o - 33 + 24 + 9 - 10*o. Let v(n) be the third derivative of -n**4/3 + 4*n**2. Determine v(m(i)).
160*i
Let y(r) = -450*r**2. Let o(k) be the first derivative of k**2/2 - 808. What is y(o(w))?
-450*w**2
Let w be (-10 + 7)*(-8)/(-36)*-3. Let k(n) = 9*n**2 - 47*n**w + 19*n**2. Let u(c) = -11*c. Calculate k(u(p)).
-2299*p**2
Let s(j) = -128*j**2. Suppose -80*x = -94*x + 28. Let n(w) = -x*w**2 - 18153 + 18153. What is s(n(z))?
-512*z**4
Let y(a) = 74*a + 20. Let c(l) = 222*l + 56. Let f(q) = -10*c(q) + 28*y(q). Let p(n) = 2*n**2. Give p(f(i)).
43808 | {
"pile_set_name": "DM Mathematics"
} |
4, p: 1}?
4/15
What is prob of picking 1 a and 1 v when two letters picked without replacement from auvvuuuavuuuuuuuuuuu?
3/95
Three letters picked without replacement from opokookkoooemgoooopo. What is prob of picking 3 k?
1/1140
Four letters picked without replacement from {s: 1, n: 2, f: 6, a: 6, x: 2, z: 3}. What is prob of picking 1 a and 3 f?
8/323
Calculate prob of picking 2 h and 1 z when three letters picked without replacement from zhrhhddzhzhh.
9/44
What is prob of picking 2 g, 1 p, and 1 h when four letters picked without replacement from ppmppgphgmphhkkmha?
2/255
What is prob of picking 2 n and 1 a when three letters picked without replacement from ntkaaktaan?
1/30
Calculate prob of picking 2 a when two letters picked without replacement from {a: 2, d: 5}.
1/21
Calculate prob of picking 2 l when two letters picked without replacement from {g: 5, t: 1, b: 1, l: 2}.
1/36
Calculate prob of picking 2 g when two letters picked without replacement from {c: 6, p: 4, g: 5}.
2/21
Three letters picked without replacement from {w: 1, f: 7}. Give prob of picking 3 f.
5/8
Calculate prob of picking 4 i when four letters picked without replacement from biibdbdiidddf.
1/715
Three letters picked without replacement from {s: 2, a: 2, d: 8, v: 1}. What is prob of picking 1 v and 2 a?
1/286
Four letters picked without replacement from zozozooozzzozozz. What is prob of picking 1 z and 3 o?
9/52
What is prob of picking 1 y, 1 o, and 2 q when four letters picked without replacement from {g: 2, q: 3, y: 4, n: 3, o: 1, s: 3}?
3/455
Calculate prob of picking 2 r when two letters picked without replacement from {h: 1, r: 2}.
1/3
Three letters picked without replacement from ggwgggggggwgggwgwggg. Give prob of picking 2 w and 1 g.
8/95
What is prob of picking 3 o and 1 u when four letters picked without replacement from {e: 2, d: 4, u: 2, q: 2, o: 7}?
1/34
Three letters picked without replacement from {j: 7, k: 4, z: 3, m: 5}. What is prob of picking 1 k and 2 j?
28/323
Three letters picked without replacement from kkvkvgkvkvvvg. Give prob of picking 2 g and 1 k.
5/286
Three letters picked without replacement from auuiu. Give prob of picking 3 u.
1/10
Four letters picked without replacement from {x: 1, l: 7}. Give prob of picking 4 l.
1/2
Three letters picked without replacement from {k: 1, z: 2, f: 2, l: 2, d: 12}. Give prob of picking 2 l and 1 d.
4/323
Four letters picked without replacement from {y: 4, b: 4, x: 9}. What is prob of picking 4 y?
1/2380
Three letters picked without replacement from {h: 3, m: 2, v: 2, r: 2}. What is prob of picking 1 m and 2 v?
1/42
Four letters picked without replacement from hnhnhnhhnnhhn. What is prob of picking 2 h and 2 n?
63/143
Calculate prob of picking 1 g and 2 u when three letters picked without replacement from {g: 6, u: 13}.
156/323
Calculate prob of picking 3 x and 1 j when four letters picked without replacement from {s: 3, x: 7, j: 4}.
20/143
Calculate prob of picking 3 s when three letters picked without replacement from {o: 5, s: 3}.
1/56
Calculate prob of picking 3 v when three letters picked without replacement from uuvvuvvvuu.
1/12
Two letters picked without replacement from ggbpbgbnpgbpgggbbgg. What is prob of picking 1 p and 1 g?
3/19
Four letters picked without replacement from {y: 9, v: 3, r: 4}. What is prob of picking 1 v and 3 y?
9/65
Calculate prob of picking 1 z and 2 e when three letters picked without replacement from {a: 3, q: 3, n: 1, z: 1, k: 2, e: 5}.
2/91
What is prob of picking 2 v and 1 m when three letters picked without replacement from {x: 6, m: 4, v: 9}?
48/323
Three letters picked without replacement from {c: 9, t: 2, s: 6}. Give prob of picking 3 c.
21/170
Three letters picked without replacement from lllllslssl. Give prob of picking 1 s and 2 l.
21/40
Calculate prob of picking 2 m when two letters picked without replacement from {m: 2, z: 5, c: 1, i: 11}.
1/171
Two letters picked without replacement from {d: 10, l: 10}. What is prob of picking 2 l?
9/38
What is prob of picking 1 k and 2 i when three letters picked without replacement from kikkpckkcikv?
3/110
Two letters picked without replacement from {s: 3, x: 4, f: 4}. Give prob of picking 1 f and 1 s.
12/55
Four letters picked without replacement from bbbbbbbbxbbb. Give prob of picking 1 x and 3 b.
1/3
Four letters picked without replacement from {w: 11, l: 1, o: 1, q: 4, h: 2}. Give prob of picking 1 w, 1 h, 1 l, and 1 o.
11/1938
Calculate prob of picking 1 c, 1 v, and 1 k when three letters picked without replacement from {v: 2, c: 3, z: 2, q: 1, k: 4}.
6/55
Four letters picked without replacement from qstsk. Give prob of picking 1 k, 2 s, and 1 t.
1/5
Four letters picked without replacement from shhhhhbffhhhsb. What is prob of picking 2 h and 2 f?
4/143
Calculate prob of picking 1 n and 3 f when four letters picked without replacement from {n: 9, f: 9}.
21/85
What is prob of picking 2 u when two letters picked without replacement from uuwuuuw?
10/21
Calculate prob of picking 1 v and 2 z when three letters picked without replacement from oczrvnz.
1/35
Two letters picked without replacement from {j: 3, b: 3, p: 2, a: 1, w: 2, t: 1}. Give prob of picking 1 p and 1 b.
1/11
Calculate prob of picking 1 e and 1 f when two letters picked without replacement from ffvvseefsyevessemf.
20/153
Two letters picked without replacement from {k: 3, g: 1, d: 3, u: 1, a: 3}. Give prob of picking 1 k and 1 g.
3/55
What is prob of picking 1 o and 1 i when two letters picked without replacement from qmioioqqommmoqmqqqq?
8/171
Calculate prob of picking 2 n and 2 u when four letters picked without replacement from {n: 5, p: 1, u: 4}.
2/7
Calculate prob of picking 2 i when two letters picked without replacement from vjjijjjvivvvjj.
1/91
What is prob of picking 1 q and 1 n when two letters picked without replacement from ncbqkqfbfccfkkkcq?
3/136
Two letters picked without replacement from {p: 1, o: 2, b: 7}. What is prob of picking 1 p and 1 o?
2/45
What is prob of picking 1 x and 2 k when three letters picked without replacement from lpppkppxkpfpxkpkppxk?
1/38
Calculate prob of picking 1 e, 1 a, and 2 s when four letters picked without replacement from {a: 1, o: 1, e: 1, x: 1, p: 1, s: 2}.
1/35
Three letters picked without replacement from {a: 3, g: 13, o: 2}. Give prob of picking 2 g and 1 o.
13/68
Calculate prob of picking 2 y and 1 c when three letters picked without replacement from yccycccc.
3/28
Three letters picked without replacement from hcmcseshhedmmm. Give prob of picking 1 s, 1 e, and 1 m.
4/91
What is prob of picking 1 i, 1 m, and 1 s when three letters picked without replacement from imsep?
1/10
What is prob of picking 1 q and 1 r when two letters picked without replacement from qrrsrrjjrjjssss?
1/21
Four letters picked without replacement from hzqzqhqgzzwzgqwzzq. What is prob of picking 1 g, 1 q, and 2 h?
1/306
What is prob of picking 1 q and 1 u when two letters picked without replacement from {i: 1, q: 3, u: 1, m: 2, t: 1, z: 4}?
1/22
Three letters picked without replacement from geeggegggeg. Give prob of picking 2 e and 1 g.
14/55
Calculate prob of picking 1 x and 1 p when two letters picked without replacement from xxxxpxxxpxxxxxxxxpxx.
51/190
Four letters picked without replacement from {z: 2, o: 4, u: 2, e: 1, d: 5, k: 1}. What is prob of picking 1 e, 2 o, and 1 d?
2/91
Two letters picked without replacement from fsurbeb. What is prob of picking 1 b and 1 u?
2/21
Two letters picked without replacement from yyqyqqqqyqyqqqqyqq. Give prob of picking 1 y and 1 q.
8/17
Calculate prob of picking 2 z when two letters picked without replacement from {s: 3, d: 2, z: 9, h: 1, q: 3}.
4/17
Calculate prob of picking 2 j when two letters picked without replacement from hjjhxnphjhxpxjxjj.
15/136
Four letters picked without replacement from {n: 4, s: 2, w: 7, z: 4, p: 1}. Give prob of picking 2 w and 2 s.
7/1020
Calculate prob of picking 1 m and 1 h when two letters picked without replacement from {h: 6, x: 5, k: 1, z: 1, m: 2}.
4/35
Calculate prob of picking 1 j, 1 c, and 1 r when three letters picked without replacement from {j: 3, t: 1, v: 3, r: 1, z: 11, c: 1}.
1/380
What is prob of picking 1 w and 3 q when four letters picked without re | {
"pile_set_name": "DM Mathematics"
} |
et w(r) = -r - 7. Give w(h).
-7
Let x(k) = -k - 5. Let r(y) = y + 5. Let n(d) = 3*r(d) + 2*x(d). Suppose -1200*a = -1203*a - 24. What is n(a)?
-3
Let c(t) = -6*t - 32. Let b(d) = -5*d - 31. Let a(h) = 7*b(h) - 6*c(h). Give a(0).
-25
Let r(b) = b**2 - 3. Let d = -27 + 25. Let x be d/(-5) - 12/30. Determine r(x).
-3
Let t = 18 + -21. Let m(v) = -237 + 473 - 235 + v. What is m(t)?
-2
Suppose -r + 24 - 16 = 0. Let n(q) = q - 14. What is n(r)?
-6
Let f(x) be the first derivative of x**4/4 - 4*x**3/3 - x**2/2 + 5*x + 102. Give f(4).
1
Suppose -q = 5*g + q - 56, -16 = -g - 2*q. Let c = 7 - g. Let r be ((-32)/(-6))/4*c. Let l(p) = -p**3 - 3*p**2 + 4*p + 6. What is l(r)?
6
Let t(v) = -v - 6. Let f = 20 - 23. Let d be t(f). Let s be ((-4)/6)/(d/18). Let u(y) = -y - 4. Calculate u(s).
-8
Let h(b) = -3*b**2 + 4*b**2 + b**2 - b**3 - 1 + 0*b**3. Let l = -2 + 1. Let c be ((1 - l) + -4)/(-2). Give h(c).
0
Let r(q) = -3*q**3 + 2*q + 2. Suppose -4*z - 19 = -5*l, 0 = -18*z + 19*z - l + 4. What is r(z)?
3
Let t(s) = -s**2 + 23*s + 3. Let i(c) = 3*c - 1. Let z(h) = 5*i(h) - t(h). Calculate z(8).
-8
Let g(a) = 0 + 19 - 2 + a. Calculate g(-11).
6
Let f(r) = r**2 - 4*r + 4. Let x(o) = -2*o**2 - 14*o + 3. Let l be x(-7). Determine f(l).
1
Let g be 0/(66/6 - 9). Let n(y) = 3*y - 2. Give n(g).
-2
Let b(j) = -j**2 - 14*j - 14. Suppose 0 = -3*m + 2*f - 20 - 8, 4*m + 36 = 3*f. Give b(m).
10
Suppose 0 = h - 3*o + 4*o - 2, -2*h - 8 = -o. Let n = 8 - h. Let u(y) = 7 + n*y - y**2 - 4*y + 2*y**2. Determine u(-6).
7
Let w(k) = k**2 - 5*k + 4. Let u(z) = -4*z - 70. Let d be u(-19). Give w(d).
10
Let b(p) = p**3 - 2*p**2 - p - 3. Let t be b(0). Let c(q) = -2*q**3 - 7*q**2 - 4*q - 4. Calculate c(t).
-1
Suppose 4*i - 3*x - 5 + 17 = 0, 0 = 4*i - 2*x + 12. Let z = i - -9. Let c(g) = 5*g**2 - z*g**2 + 2 - 1. Give c(-2).
-3
Let f(a) = a**2 - 4*a - 2. Let v(p) = p**3 + 22*p**2 + 4*p + 94. Let u be v(-22). Give f(u).
10
Let o(g) = -6*g**3 + 12*g**2 - 5*g - 20. Let c(w) = 7*w**3 - 12*w**2 + 4*w + 21. Let s(v) = 5*c(v) + 6*o(v). Determine s(11).
-4
Let p(b) = b**2 - 7*b - 28. Suppose -193 = -46*d + 313. What is p(d)?
16
Let u(f) = 3*f - 2. Let p(r) = 1. Let i(b) = -b**3 + 3*b**2 - b - 2. Let a be i(3). Let n(g) = a*p(g) - u(g). What is n(-5)?
12
Let n(i) = -i**3 - 5*i**2 - 2*i - 10. Let g = 156 - 161. Give n(g).
0
Suppose 5 = 5*o + 5*w, 17*o - 20*o - 5*w - 5 = 0. Let f(a) be the second derivative of -11*a + 0 - 1/20*a**o + 1/4*a**4 + a**2 + 1/6*a**3. What is f(3)?
5
Let o = 30 + -31. Let m(p) = -9*p - 2. Let v(u) = u. Let r(i) = o*m(i) - 5*v(i). What is r(2)?
10
Let r(d) = -d**2 + 2*d + 3 + 2*d + d + 1. Let t be -2 - 0/(-3) - -8. What is r(t)?
-2
Let b(l) = l**3 + 10*l**2 - 1. Suppose 4*v + 28 = 4*t - 32, 5*t = 4*v + 65. What is b(v)?
-1
Let j(l) = 9 + 8 + 14*l**3 - 14*l - 8*l**3 - 4*l**3 - 3*l**3 - 16*l**2. Give j(-15).
2
Let w(m) = 15*m**2 + 2*m + 1. Let b = -47 + 46. Calculate w(b).
14
Suppose 13*q = 55 + 36. Let f = 0 - -2. Let k(g) = -3*g + 5 + f*g + 0 + 5. Calculate k(q).
3
Let v be (12/(-20))/(1/(-5)). Suppose 0 = -2*q - q + v. Suppose 0 = -i - 4 - q. Let d(k) = -k. Determine d(i).
5
Let n(b) = -3*b**3 + b**2 - b**2. Let v(w) = w**2 - 6*w - 6. Let s(l) = l + 10. Let g be s(-3). Let i be v(g). Determine n(i).
-3
Suppose 3*c + 18 = -3*m, -m - c = -2*c + 2. Let b(i) be the third derivative of i**5/30 + i**4/4 + i**3 + 2*i**2. What is b(m)?
14
Let n(p) = -p**3 + 5*p**2 + 6*p + 2. Let t = -8 + -2. Let j(a) = 140 - 73 - a - 71. Let i be j(t). Give n(i).
2
Let u(l) = l**3 + 9*l**2 + 7*l - 9. Let p be (3 - 2)*(-7 + -1). Determine u(p).
-1
Let s(j) = -j**3 - 9*j**2 + 7*j + 5. Let i(k) = -3*k**3 - 28*k**2 + 23*k + 15. Let a(w) = -3*i(w) + 10*s(w). What is a(-6)?
-1
Let z(c) = 5*c + 14. Suppose 24 = -5*h - l, -2*h + 1 = -5*l - 11. Let o(f) = -4*f - 13. Let t(w) = h*o(w) - 3*z(w). Let b = -5 - 0. Give t(b).
5
Let r(s) = -s - 11. Let c(b) = -b**3 + 3*b**2 + 12*b + 31. Let j be c(6). Determine r(j).
-6
Let b(k) = 21*k + 42. Let q be b(-2). Let d(x) = 2*x**2 - 11 - x**2 - x + 4 + 8. What is d(q)?
1
Let c(j) = j**3 - 6*j**2 - 6*j - 7. Let y(b) = 1 + 2*b**2 + 2*b + 0*b**2 + 2*b. Let o be (((-7)/7)/1)/(1/3). Let l be y(o). Give c(l).
0
Let y(t) = 13*t - 132*t**2 - 5*t - 4*t + 130*t**2. Give y(3).
-6
Let m be (-6)/(-21) + (-354)/14. Let i = 35 + m. Let c be (2/(-2))/(-2)*i. Let x(u) = u**3 - 5*u**2 + 3*u - 6. Calculate x(c).
9
Let s be 0 + 70/12 + 145/870. Let b(f) = f**3 - 5*f**2 - 8*f - 4. Give b(s).
-16
Let c(h) = h**3 - 5*h**2 - 4*h. Let j = 39 + -39. Suppose -8*b + 2*b + 36 = j. What is c(b)?
12
Let c = 23 + -19. Let w be 9/c - 2/8. Let n(m) = -5*m + 5 + 2*m**2 - 4 + 5*m**w + 0*m**2 - m**3. Calculate n(6).
7
Let a(r) be the third derivative of r**6/120 + r**5/20 - r**4/8 + 5*r**3/6 + 137*r**2. Give a(-4).
1
Let b(z) = 2*z**2 + 2*z - 3. Let x(a) = -8*a**2 - 9*a + 13. Let n(m) = -9*b(m) - 2*x(m). Calculate n(2).
-7
Let l(n) = -2*n**2 - n. Let d(k) = -6*k**2 + k. Suppose -5*w = 15, 11 = -5*b + b - 5*w. Let p(s) = b*d(s) - 2*l(s). Determine p(4).
-20
Let s be ((-6)/3 - -175)*(-2)/(-2). Let b(r) = 174*r**2 - s*r**2 - 4 + 3 + 15*r**3. Determine b(1).
15
Suppose 0 = -7*p + 62 + 22. Let y be 6/(-4)*p/18. Let m(g) be the first derivative of -g**4/4 + g**3/3 - g**2/2 - g - 3. Determine m(y).
2
Let h(n) = -n + 1. Let x(f) be the third derivative of 9*f**2 + 11/6*f**3 + 0*f - 1/6*f**4 + 0. Let y(r) = -5*h(r) + x(r). Calculate y(-3).
3
Let h(w) = -w**3 - 3*w**2 - 2*w + 2. Suppose 0 = v - 4*v. Let x = -2 + v. Determine h(x).
2
Let c be ((-4)/(-10))/(2 + (-153)/75). Let q(i) = i**2 + 11*i + 5. Determine q(c).
-5
Let n(u) be the first derivative of -u**2/2 + 7*u - 13. Suppose 160*x - 140 = 140*x. Give n(x).
0
Let r(h) = -6. Let i(d) = d - 7. Let b(f) = 6*i(f) - 7*r(f). Let s be (2/(-4))/((-2)/(-4)). Let q be (s/4)/((-2)/(-8)). Determine b(q).
-6
Let d(p) be the second derivative of p**4/12 - p**3/3 - 3*p**2/2 - 24*p + 1. What is d(3)?
0
Let g(k) = -k + 3. Let c(t) = 2*t - 6. Let v(p) = -2*c(p) - 5*g(p). Let j = 153 + -153. What is v(j)?
-3
Let s(q) = -q**3 + 5*q**2 - 3*q - 4. Suppose 86*m + 54 = 104*m. What is s(m)?
5
Let k = 78 - 49. Suppose -3*s = 5*j - k, -s - 5*j = -2*j - 15. Let q(p) = -p**s + 9*p + 6*p**2 - 19*p + 1 + 17*p. What is q(7)?
1
Let y = -154 - -161. Suppose 6*l - 21 = 3*l. Let c(x) = l*x + 0*x - 6*x. What is c(y)?
7
Let h(o) = -o**3 + 3*o**2 + 4*o. Let s be h(4). Suppose 3*i + 3 = t, -t - 3 = -s*t. Let l(r) be the second derivative of -r**3/2 - 3*r**2/2 - 277*r. Give l(i).
3
Suppose 19 = -4*o - 1. Let l = o + 0. Let s(k) be the second derivative of -k**4/12 - 7*k**3/6 - 3*k**2 - 7*k. Calculate s(l).
4
Let o be 2/(-8) - (-2 - (-42)/24). Let p(z) = z + 4. Determine p(o).
4
Let o(m) = -m**3 + 3*m**2 - 2*m. Suppose n - 5*n = 12, 5*c = -2*n - 71. Let l(w) = -2*w - 24. Let a be l(c). Determine o(a).
0
Let w(q) = q**3 - 4*q**2 - 1. Suppose 0 = 12*m + 28 + 32. Let i be (-3)/(m - -4) - -1. Determine w(i).
-1
Suppose 0 = -m + 5*q - 13, 2*q - 3*q = -2*m + 10. Let i(g) = -2 + 4*g + 5*g - 5*g - m. Give i(6).
15
Let k(r) = -4 - 5 + 9*r - r**2 + 0. Let q be 6*(4/(-56) + 3/(-7)). Let t be (-16)/24 - 20/q. What is k(t)?
9
Suppose -n = -6*n. Let t(z) be the second derivative of -1/6*z**3 + 0 + 0*z**4 - 1/20*z**5 + 4*z - 1/2*z**2. Determine t(n).
-1
Suppose 59*b - 64 = 43*b. Let m(v) = v**3 - 4*v**2 + 2*v. What is m(b)?
8
Let m(g) = 3*g - 2. Let o(j) = -9*j + 3. Let c(z) = -4*m(z) - o(z). What is c(3)?
-4
Let c(m) = 163*m + 166*m - 326*m - 1. Give c(-4).
-13
Let i(c) = c**3 + 5*c**2 + 5*c + 1. Let h be -2 + (0 + -4 - -2). Let a be i(h). Let l(d) be the second derivative of -d**3/6 + d**2/2 - 2*d. What is l(a)?
4
Let m = -24 - -61. Let h = m + -34. Let k(f) = -f**3 + 3*f**2 + f - 4. Give k(h).
-1
Let g(p) be the second derivative of p**6/720 - p**5/60 + 11*p**4/6 - 10*p. Let x(u) be the third derivative of g(u). Give x(3).
1
Let v(x) = -59*x + 232. Let q be v(4). Let r(y) = -y**2. Let h be 2/8 + 14/8. Let g(z) = z**2 - 2*z + 3. Let d(c) = h*r(c) + g(c). What is d(q)?
-5
Let p be 5*1 - 0/3. Let t(s) be the second derivative of s**5/20 - s**4/2 + s**3 + 3*s**2/2 - 10891*s. What is t(p)?
8
Let y(n) = -4*n - 5. Let h(c) = -c**2 + c - 1. Let w(i) = h(i) - y(i). Let t(q) = 7*q**2 - 1. Suppose 5*z - 6 = -1. Let j be t | {
"pile_set_name": "DM Mathematics"
} |
5 + v**4 - 7*v**5 + 3*v**5)*(-5 - 2 + 3).
4*v**5 - 4*v**4
Expand (2 - 5 + 0)*(1 + 5*u**5 - 1 + (-2*u + 5 - 5)*(u**4 - 2*u**4 - u**4)).
-27*u**5
Expand -9*v + 3*v - 16*v + (4 - 2 - 1)*(2*v + 3*v - 3*v).
-20*v
Expand (u + 3*u - 3*u)*(-2*u**3 + 5*u**3 - 2*u**3) + (33*u + 71*u - 62*u)*(-u**3 + 2*u**2 - 2*u**2).
-41*u**4
Expand -1 + 1 + 2*c - 3*c + 4*c - 2*c + (-1 + 0 - 1)*(0 + c + 0) - c - 3*c + 2*c + (-10 - 3 + 5)*(-2*c - c + 2*c).
5*c
Expand 1 - 1 - 2*h**4 + (6*h**2 + 0*h**2 - 4*h**2)*(-h**2 + 0*h**2 - h**2) + h**4 + 33*h**3 - 33*h**3 + 3*h**4 - 5*h**4 + 3*h**4.
-4*h**4
Expand (-3*h + 5*h - 4*h)*(-10 + 7 - 3)*(-2*h + 1 - 1)*(0*h + h - 2*h).
24*h**3
Expand j**3 + 3 - 3 + (2 - 1 - 3)*(-45*j**2 + 6*j**3 + 45*j**2).
-11*j**3
Expand f + 1 - 3 - 2*f + (2 - 2 + 2)*(-1 + 1 - f) - 1 + 1 - f + 2*f + 5*f - 5*f + 0 + 0 + 2*f - 2*f + 4 - 4 - 2*f - 2*f + 2*f.
-4*f - 2
Expand 2*a**4 - a**4 + 3*a**4 + (-a**3 + 2*a**3 - 2*a**3)*(7*a - 3*a - 3*a).
3*a**4
Expand -6*d + 2*d + 3*d + (10*d + 0*d - 2*d)*(4 - 2 - 1).
7*d
Expand (-2*b**2 + 1 - 1)*(b + 23*b - 11*b).
-26*b**3
Expand (-2*l**4 + 5*l**4 - 2*l**4)*(6 - 3*l + 0 + l).
-2*l**5 + 6*l**4
Expand (16 - 16 + 5*c)*(c - c**3 - c)*(4 - 4 - 3).
15*c**4
Expand -2*a**4 + 8*a**4 + 14*a**4 + (0*a + 5*a - 3*a)*(3*a**3 + 2*a**3 - 6*a**3).
18*a**4
Expand (-7 + 3 - 6*j + 5)*(-11*j + 11*j - 4*j**3).
24*j**4 - 4*j**3
Expand (3*f + f - 5*f)*(1 + 2 - 4) + (-4 + 2 + 1)*(4*f - 3*f - 3*f) - 3*f + 6*f - 2*f.
4*f
Expand (-3 - 1 + 7)*(w + 0*w - 3*w) - 4*w - 7 + 7.
-10*w
Expand (-3 - 1 + 0 - 3 + 1 + 0 + (-4 + 1 + 4)*(-2 - 4 + 4))*(-3*o**4 + 0*o**4 + 5*o**4).
-16*o**4
Expand (0*n + 2*n - 4*n + (-n + 5 - 5)*(1 - 4 + 2) + 5*n + 0*n + 3*n)*(-2*n - 3*n + 3*n).
-14*n**2
Expand (-1 + u**3 + 1)*(-10*u + 17*u + 46*u).
53*u**4
Expand (2*a**2 - 4*a**2 + 0*a**2)*(-12 - 2 - 5).
38*a**2
Expand (-5*h**2 + 2*h**2 + h**2)*(3 - 3 + 4*h) + (-h - h + h**2 - h)*(5*h - h - h).
-5*h**3 - 9*h**2
Expand 2*n - 3*n - n + (-2 + 2 + 2*n)*(0 + 1 - 2) + n + 2 - 2 + 22*n - 28*n + 14*n.
5*n
Expand (-h + h - 3*h)*(-6 + 2 + 5 + 2 - 2 - 1 + (1 + 1 + 0)*(2 - 4 + 4)).
-12*h
Expand (0 + u**2 + 0 + (-5*u + u + 0*u)*(5*u - 3*u + 0*u))*(0 - 1 - 1)*(-1 + 3 - 5)*(4*u - 3*u + u).
-84*u**3
Expand h**4 - 6*h**4 - 5*h**4 + (2*h**2 - 2*h**2 + 2*h**3)*(-2*h + 4 - 4).
-14*h**4
Expand (5 - 6 + 2 + 2*p)*((2*p - 2 + 2)*(-4 + 2 + 3) - 7*p + 0*p + 2*p).
-6*p**2 - 3*p
Expand (17*f + 147 - 147)*(f**3 + 2*f**3 - 2*f**3).
17*f**4
Expand (2*g - 2*g + 4*g)*(-4 - g + 4)*(-17 + 8 - 12).
84*g**2
Expand (-3*o**2 - 2*o**2 + 3*o**2)*(3*o**3 - 3*o**3 - 3*o**3)*(1 + 4 - 2).
18*o**5
Expand (-3*x**3 + 2*x**3 - x**3)*(-1 + 5 - 3) + 0*x**3 - 2*x - x**3 + 3*x.
-3*x**3 + x
Expand (-6 + 0 + 4)*(1 - 1 + 1)*((2 + 4 - 5)*(0*p - 3*p + p) + p + 0*p + 2*p).
-2*p
Expand (9 - 2 + 1)*(i**5 + 7*i**5 + i**5).
72*i**5
Expand -z**2 - 2 + 2 + (1 - 3*z - 1)*(0*z - 2*z + 0*z) + 3*z**2 + 4*z**2 - 5*z**2 + 3*z**2 + z**2 - 2*z**2.
9*z**2
Expand (2*w**3 - w**3 + 0*w**3)*(33 - 24 - 33).
-24*w**3
Expand (2*k**2 - 2*k**2 + 3*k**2)*(0*k + 3*k + 3*k).
18*k**3
Expand 3*u**3 - 2*u**3 + u**3 + (4*u - 2*u + 0*u)*(-3 + 2*u**2 + 3) - 14*u**3 + u**3 + 0*u**3 + (4*u**2 - 2*u**2 - 4*u**2)*(-2 + 2*u + 2) + 3*u + u**3 - 3*u.
-10*u**3
Expand (16 - 8 + 10)*(3*v - 6*v + 4*v).
18*v
Expand 3 - 2*g**5 - 3 + (-2*g**5 + 0*g**3 + 0*g**3)*(-1 + 0 + 3) + 1217*g**3 - 1217*g**3 - g**5 - 8*g**4.
-7*g**5 - 8*g**4
Expand ((-2*a**3 + 3*a**3 - 2*a**3)*(0 - 3 + 5) + a**2 - a**3 - a**2)*(0 - 3*a**2 + 0).
9*a**5
Expand (-2*l**5 - 4*l**3 + 6*l**3 + 3*l + 0*l**3)*(3 - 3 + 2).
-4*l**5 + 4*l**3 + 6*l
Expand -4*z**3 + 6*z**3 + 0*z**3 + (6 - 5 - 8)*(z - z - 2*z**3).
16*z**3
Expand (8 - 16 + 7)*(-2*h**4 + 2*h**4 + 2*h**4).
-2*h**4
Expand (-2*b**3 - b**3 + 4*b**3)*(8 + 9 - b**2 - 2*b - 3).
-b**5 - 2*b**4 + 14*b**3
Expand (0*i**2 + 0*i**2 - 3*i**4)*(-8 + 28 - 9).
-33*i**4
Expand 3*n**3 - 2*n**3 - 3*n**3 + (2*n**2 - 2*n**2 + 2*n**2)*(1 + n - 1) - 19*n + 7*n**3 + 19*n.
7*n**3
Expand (2 - 2 - 2)*(2 + q - 7 + q).
-4*q + 10
Expand (-1 - 3 + 1)*(3*g**3 - 3*g**3 - 9*g**5) + 2*g**5 + 3*g**4 - g**4 - 3*g**4.
29*g**5 - g**4
Expand (0*p - 4 + p + 5)*(-5*p + 2*p + p).
-2*p**2 - 2*p
Expand b**2 - b + b + (-3*b + 2*b + 0*b)*(-2 + 2 + 2*b) + (-3 + 0 + 5)*(-2 - 2*b**2 + 2) + 4*b**2 - 8*b**2 - 3*b**2.
-12*b**2
Expand (-4 + u + 4)*(2*u**2 - u**2 - 3*u**2) - 2*u**3 + 3*u**3 - 4*u**3 + (-2*u**3 - 7*u**3 + 2*u**3)*(4 - 4 + 1).
-12*u**3
Expand 4*t + 18*t**2 - 5*t + 2*t + (-t + t + t**2)*(0 + 5 - 3).
20*t**2 + t
Expand (-f + 7*f - 3*f)*(2*f + 0 + 0) - f - 3 + 1 + 1 - f**2.
5*f**2 - f - 1
Expand -r**3 - 2*r**3 + 5*r**3 + (2 + 4 - 12)*(-r**3 - 4 + 4).
8*r**3
Expand o**3 - 5*o**3 - 4*o**3 + (-2*o + 1 - 1)*(2*o**2 - 3*o**2 + 3*o**2) + 1 - 1 + o**3.
-11*o**3
Expand (0 - o + 0)*(-3*o + 3*o - 2*o - 8).
2*o**2 + 8*o
Expand (3 + 3*u - 3)*(-u + u - 2*u) - 1 + 11*u**2 + 0*u**2 - 7*u + 6*u.
5*u**2 - u - 1
Expand (-2*s**3 - s**3 + 6*s**3)*(-23 - 5*s + 23).
-15*s**4
Expand 185*y**4 - 185*y**4 + 14*y**5 + (5 - 1 - 2)*(-2*y**5 + 3*y**5 - 3*y**5).
10*y**5
Expand (-3*j + 6*j - 6*j)*(-11*j + 5*j + 0*j).
18*j**2
Expand (5 - 3 + w**2 - 1)*(w - w + w).
w**3 + w
Expand (w - 3*w + 0*w)*(10 - 16 + 7 + (-4 + 2 + 0)*(-4 + 3 + 2) + 1 - 3 + 0).
6*w
Expand -5*c**2 + 2*c**4 + 5*c**2 + (3*c**3 + 0*c + 0*c)*(-3 + 3 + 2*c).
8*c**4
Expand 2*i**4 + i**5 - 2*i**4 - i**5 - 3*i**5 + 2*i**5 + (1 + i**4 - 1)*(4*i + 2*i - i).
4*i**5
Expand (-109 - 7*u + 109)*(-3*u + u + u).
7*u**2
Expand -9*o**2 + 9*o**2 + o**4 + (-2*o**4 + 2*o**3 - 2*o**3)*(0 + 1 - 2).
3*o**4
Expand (0*g + 4*g - 3*g)*(0*g**2 + 0*g**2 + g**4) + (23*g - 30*g + 14*g - 2*g - g + 5*g - 2*g + 1 - 1 + (1 - 2 + 0)*(-5 + 5 - g))*(2*g**4 - g**4 + 0*g**4).
9*g**5
Expand (-2*b + b + 0*b)*(1 - b**2 - 1) + 2*b**3 + 1 - 1 - 4*b**3 + 5*b**3 + b**3 - 6*b**3 + 0 + 2 + 10*b**3.
9*b**3 + 2
Expand (-y**4 + 4*y**3 - 4*y**3 + (1 + 0 + 0)*(-2*y**4 + 4*y**4 - 4*y**4) + 0*y**4 - 2*y**4 + y**4)*(6 - 5 - 3).
8*y**4
Expand (-2*f - 4*f + 4*f)*(581*f**2 - 581*f**2 + 2*f - 8*f**3).
16*f**4 - 4*f**2
Expand (0*i**2 + i**2 - 4*i**2)*(-2 + 0 + 1) + 2*i**2 - 2*i**2 + i**2 + 7*i**2 + 0*i**2 - 2*i**2.
9*i**2
Expand (3*r + 0*r - 2*r + (-4 + 4 + 2)*(-2*r + 0 + 0) + r - r - r + (-2 + r + 2)*(6 - 1 - 3) - 2*r + 0*r + 3*r)*(-2 + r + 2).
-r**2
Expand -3*n**3 + 2*n**3 + 3*n**3 + (n**2 - 2*n**2 - 2*n**2)*(n - 1 + 1 + 2*n - 2*n + 2*n + (0 + 3 - 4)*(-n - 1 + 1) + 3*n - 3*n - 3*n).
-n**3
Expand ((0 + 3 - 5)*(3*g**2 - g + g) + (-3*g - 5*g + 4*g)*(0*g - 2*g + 4*g))*(5*g - 2*g - g).
-28*g**3
Expand (5*j**2 - 4*j**2 + 0*j**2)*(0 + 0 - 2*j) - 2*j**3 + 5*j**3 - j**3 + (-1 + 2*j**2 + 1)*(4*j - 3*j - 3*j) - 2*j**3 + j**3 + 0*j**3.
-5*j**3
Expand -2*b - 3 - 2 + 3 + (3*b - 4*b + 4*b)*(3 - 3 - 2).
-8*b - 2
Expand 2*u**3 + 1 - 1 + (5*u**2 + 2*u**3 - 5*u**2)*(0 - 3 + 2) + u**3 + 5*u**3 + 3*u**3.
9*u**3
Expand (4 + 1 - 4)*(75*w**3 - 2*w**5 - 72*w**3 + 1 + 0*w**5).
-2*w**5 + 3*w**3 + 1
Expand 0*j - 4*j + 0*j + 2*j - 2*j + j + (0 + 1 + 1)*(2*j + 0 + 0) - 2*j - 2*j + 2*j.
-j
Expand (-1 + 2 - 3)*(-4*b**5 + 2*b**5 - 2*b**5).
8*b**5
Expand (v + v + 0*v)*(2*v**4 + 0*v**4 - v**4) - 5*v**5 + v**5 + 0*v**5 - 2*v**5 + v**5 + 0*v**5.
-3*v**5
Expand (-4*d**2 + 2*d**2 + 4*d**2)*(-3 + 3 + 2*d) - 8*d**3 + 18*d**3 - 7*d**3.
7*d**3
Expand (4 - 5 - 1)*(-2*a + 4*a - 3*a) + 0 + a + 0 - 1 + 1 + 2*a - 5*a + 3*a - a + (0 + 1 + 0)*(2 + 4 + 3)*(4 - 4 - a).
-7*a
Expand (-5 - 1 + 4 - 6*p**2)*(0*p**3 - p**3 - 3*p**3).
24*p**5 + 8*p**3
Expand (1 + 2 - 14)*(5*x**2 + 2*x**3 - 5*x**2)*(2*x**2 + 2*x**2 - 2*x**2).
-44*x**5
Expand (2*x + 1 - 2 + 0*x)*(2*x**4 - 4*x**4 - x**4).
-6*x**5 + 3*x**4
Expand (-3 - z + 3)*(-4*z + 2*z + 0*z) + 18*z - 18*z - 13*z**2.
-11*z**2
Expand (-j + j + j)*(-2*j**2 + 2*j**2 - 2*j**2) + j**3 - 4*j**3 + 2*j**3 + (-5*j**2 + 3*j**2 + 4*j**2)*(2*j + 0 + 0).
j**3
Expand -4*a + 4*a + 2*a + (0*a - a - 8*a)*(-3 + 5 - 1).
-7*a
Expand (2*d**2 - 3*d**2 - d**2)*(1 + 0 - 4) + 0*d - 2*d**2 + 0*d + (d - 2*d - d)*(2*d - d + 0*d) + 0*d + 0*d + d**2 + d - 2*d**2 - d.
d**2
Expand (-5*y - 75*y**2 - 73*y**2 + 146*y**2)*(y**2 + y**3 - y**2).
-2*y**5 - 5*y**4
Expand (6 - 4 - 1)*(0 - 4*u + 0) - 15*u - 13*u + 29*u + 1.
-3*u + 1
Expand (-3*d + 3*d - 2*d)*(2 - 2 + 7)*(d - d + d**2).
-14*d**3
Expand 0*c + 0*c - c**2 + (3*c + 4*c - 6*c)*(-2*c + c + 5*c) + (3*c + 2*c - 3* | {
"pile_set_name": "DM Mathematics"
} |
t j(u) be the second derivative of u**4/2 - 9*u**2/2 + 59*u. Let k(b) = 3*b**2 - 5. Calculate 5*j(n) - 9*k(n).
3*n**2
Let w(n) = 5*n - 3. Let l(r) = -r - 29. Let z(p) = p + 24. Let k(b) = -5*l(b) - 6*z(b). Give 3*k(g) + w(g).
2*g
Let s(d) = 31*d - 16. Let v(b) = 32*b - 13. Calculate -5*s(o) + 6*v(o).
37*o + 2
Let z(t) = 2*t - 2. Let n(h) = 3*h - 3. Suppose 16 = l + 15, -5*j + 2*l - 17 = 0. What is j*n(c) + 5*z(c)?
c - 1
Let g(x) = 9*x - 169. Let j(m) = 5*m - 84. What is 4*g(y) - 7*j(y)?
y - 88
Let j = 5 + -3. Let t(n) = -n - 18*n - 2*n**2 + 13*n - 3*n**3 + 2. Let x(c) = 7*c**3 + 5*c**2 + 13*c - 5. What is j*x(h) + 5*t(h)?
-h**3 - 4*h
Let l(f) = 157195*f**2 - 1477*f + 7385. Let d(m) = -426*m**2 + 4*m - 20. What is -1477*d(w) - 4*l(w)?
422*w**2
Let w(j) = -42*j**2. Suppose -16 = 12*z - 28. Let c(b) = -b**2. Give z*w(y) - 56*c(y).
14*y**2
Let u(z) = 35*z**3 + 5*z + 5. Let n(x) = 192*x**3 + 28*x + 28. Determine 5*n(b) - 28*u(b).
-20*b**3
Let q(t) = -t**2 - 13*t**3 - 9*t**3 + 20*t**3. Let g(h) = h**3 + h**2 - h. Calculate g(a) + q(a).
-a**3 - a
Let c = -102 + 113. Let s(n) = -16*n**3 + 11*n**2 + 10*n. Let h(k) = 3*k**3 - 2*k**2 - 2*k. Calculate c*h(v) + 2*s(v).
v**3 - 2*v
Let n(i) = -i**3 + 248*i**2 + 3. Let u(q) = -2*q**3 + 497*q**2 + 7. Determine 5*n(x) - 2*u(x).
-x**3 + 246*x**2 + 1
Let b(g) = 2*g**3 + 6*g + 6. Let l(f) = -4*f**2 - 7*f + 2. Let c be l(-3). Let u(n) = -4*n**3 - 13*n - 13. Calculate c*b(o) - 6*u(o).
-2*o**3
Let s(y) = 15*y**2 + 11. Suppose 39 + 81 = 4*f. Let l be 18/4*40/f. Let k(w) = 3 + 3 - l*w**2 + 14*w**2. Calculate 11*k(r) - 6*s(r).
-2*r**2
Let k(m) = 3*m**2 + 2. Let i(f) = -36*f**2 - f - 23. Give -2*i(j) - 22*k(j).
6*j**2 + 2*j + 2
Let p(a) = -3*a**2 + 2*a + 7. Let i(z) = -3*z**2 + z + 3. Let j(d) = -10*d**2 + 3*d + 10. Let b(y) = 7*i(y) - 2*j(y). Determine 5*b(r) - p(r).
-2*r**2 + 3*r - 2
Let t(p) be the second derivative of -7*p**3/6 + p**2/2 - 200*p. Let c(q) = 7*q - 1. Give -2*c(f) - 3*t(f).
7*f - 1
Let q(n) = 4*n**3 - 7*n - 5. Let r = 77 + -73. Let s(g) = 4*g**3 - 6*g - 4. Calculate r*q(v) - 5*s(v).
-4*v**3 + 2*v
Let s(c) = -c + 2. Let w be 310/(-124)*(1 - 3). Let v(b) be the third derivative of 1/24*b**4 + 0 - b**2 + 0*b - 1/2*b**3. Give w*s(k) + 3*v(k).
-2*k + 1
Let s(v) = -16*v + 94. Let d(n) = 3*n - 19. Calculate 11*d(o) + 2*s(o).
o - 21
Let n(j) = -2*j + 7. Let h(m) = -3 - 5*m - 8 + 26. Determine 3*h(b) - 7*n(b).
-b - 4
Let l(c) = c**3 - c + 1. Let x(m) = 2*m + 4*m**3 + m + 2 - 3*m**3 + m - 6*m. Determine 4*l(d) - 2*x(d).
2*d**3
Let x(s) = 3*s**3 - 34*s**2 - 6*s - 5. Let v(f) = 2*f**3 - 34*f**2 - 5*f - 4. What is 5*v(z) - 4*x(z)?
-2*z**3 - 34*z**2 - z
Let q(s) = -6*s - 6. Let n(p) = p + 7. Let h(v) = 2*v + 7. Let x(z) = -6*h(z) + 5*n(z). Suppose 3*l + 6 = -9. Determine l*q(u) + 4*x(u).
2*u + 2
Let r(k) = 9*k**2 - 11*k + 11. Let p = 352 - 341. Let u(w) = -3*w**2 + 4*w - 4. Calculate p*u(n) + 4*r(n).
3*n**2
Let u(b) be the first derivative of b**2/2 - 1. Let v = 2372 + -2371. Let j(o) = o + 1. What is v*j(d) + 2*u(d)?
3*d + 1
Let p(w) = 8*w + 7. Let a = -24 + -4. Let b(h) = h + 3. Let x(d) = -1. Let t(u) = -b(u) - 2*x(u). Give a*t(m) - 4*p(m).
-4*m
Let n(g) = 2*g**2 + 205*g - 1. Let s(q) = -q**2 + 1. What is -n(h) - s(h)?
-h**2 - 205*h
Suppose -3*v + 3 = -0*v + 3*r, -2*v - 5*r = -11. Let l = v + 5. Let y(m) = -5*m - 7. Let k(u) = -2*u - 3. Let j = -20 - -13. Give j*k(b) + l*y(b).
-b
Let r(x) = x**2 - 8*x - 8. Let o(b) = 3*b**2 - 77*b - 9. Let v be o(26). Let m(w) = -3*w**2 + 23*w + 23. Give v*r(h) + 6*m(h).
-h**2 + 2*h + 2
Let w(i) = -22*i**2 - 11*i - 28. Let d(g) = 10*g**2 + 5*g + 14. Determine 13*d(k) + 6*w(k).
-2*k**2 - k + 14
Let n = 7 + -1. Suppose -97 = -n*y + 11. Let u = -16 + y. Let v(q) = q - 3. Let i(d) = -d**2 + 6*d - 16. What is u*i(p) - 11*v(p)?
-2*p**2 + p + 1
Let k(v) = -v**3 + 2*v**2 + 13*v**3 - 11*v**3. Let t(a) be the first derivative of -3/4*a**4 - 7/3*a**3 - 1 - a + 0*a**2. Determine -7*k(z) - 2*t(z).
-z**3 + 2
Suppose 44 + 58 = -17*o. Let l(g) = -7*g + 5 - 3*g + 4*g. Let q(x) be the third derivative of -7*x**4/24 + x**3 + 12*x**2. Calculate o*l(y) + 5*q(y).
y
Let h(b) = -8*b**3 - 8*b - 5. Let v(f) = -7*f**3 - 5*f - 5. Calculate -3*h(l) + 4*v(l).
-4*l**3 + 4*l - 5
Let s(l) = -9*l + 18. Let b(x) = 14*x - 28. Give -5*b(a) - 8*s(a).
2*a - 4
Let t(y) = y - 1. Let k = 75 + -80. Let z be (-14)/(-2) + k/(-2 - -7). Let c(d) = -d**2 - 7*d + 7. What is z*t(r) + c(r)?
-r**2 - r + 1
Let l(i) = -9*i - 10. Let b(g) = -9*g - 8. Let d(p) = -7*b(p) + 6*l(p). Let y(v) = -10*v + 5. Calculate 5*d(z) + 4*y(z).
5*z
Let d(k) = 4*k**2 + 34*k + 14. Let y be d(-8). Let a(j) = -4*j**3 + 2*j. Let o(x) = 5*x**3 - 3*x. Give y*o(r) - 3*a(r).
2*r**3
Let g(w) = 27*w**2 + w - 5. Let y(j) = 25*j**2 + j - 6. What is 4*g(d) - 3*y(d)?
33*d**2 + d - 2
Let t(q) = 9*q - 14. Let d(s) = 5*s - 5. Calculate -10*d(j) + 6*t(j).
4*j - 34
Let t(k) = -79*k**3 - 4*k**2 - 6. Let v(h) = -79*h**3 - 3*h**2 - 5. Give -5*t(l) + 6*v(l).
-79*l**3 + 2*l**2
Let p(a) = 9*a - 5. Let j(i) = 25*i - 14. Determine 4*j(b) - 11*p(b).
b - 1
Let c(q) = -1588*q**3 - 4*q**2 + 4*q - 4. Let y(d) = -d**2 + d - 1. Determine c(k) - 4*y(k).
-1588*k**3
Let s = 108 - 35. Let l = 74 - s. Let w(b) = b**3 - b**2 + b + 1. Let j(y) = -8*y**3 + 8*y**2 - 6*y - 5. Determine l*j(f) + 6*w(f).
-2*f**3 + 2*f**2 + 1
Let l(d) = -3*d + 6. Let y(i) = i - 3. Let f(h) = 2*l(h) + 5*y(h). Let t(o) = 6*o + 17. Suppose -213*g - 627 - 744 = -93. Determine g*t(v) - 34*f(v).
-2*v
Let m(i) = -12*i**3 - i**2. Let a be m(-1). Let z(x) = -5*x**2 + 10*x - 11. Let u(h) = -h**2 + 2*h - 2. Let t = -4826 - -4824. Calculate a*u(o) + t*z(o).
-o**2 + 2*o
Let x(l) = 8*l - 50. Let m(s) = -6*s + 49. Give -5*m(r) - 4*x(r).
-2*r - 45
Suppose -5*k = -4*k + 6. Let c(j) = -j - 3. Let y(p) be the third derivative of 0*p + 2/3*p**3 + 3*p**2 + 0 + 1/24*p**4. Calculate k*c(m) - 5*y(m).
m - 2
Let c(q) = -q**3 - q**2 + 4*q - 5. Let s be c(-3). Let o = -11 - -5. Let n(g) = -g. Let d(a) = -a**2 - 6*a. Calculate o*n(m) + s*d(m).
-m**2
Let x(b) = -b. Suppose 2 = 13848*q - 13844*q + 26. Let t be 14/8 + 2/8. Let o(w) = t*w - 2*w + 3*w. What is q*o(g) - 17*x(g)?
-g
Let v be (-5)/4 + 2/8. Let j(w) = 3*w**2 - 6 + 4*w**2 - 9*w**3 - 7*w**2. Let g(u) = -u**3 - 1. Let r = 50 + -44. What is r*g(c) + v*j(c)?
3*c**3
Let q(o) = 4*o**2 - 4*o + 11. Let p(i) = i**2 - i - 1. Calculate -3*p(v) + q(v).
v**2 - v + 14
Let v(t) = 167*t**2 - 4. Let m(o) = 34903*o**2 - 835. Calculate 4*m(c) - 835*v(c).
167*c**2
Let p = 15 + -34. Let m = -15 - p. Let b(i) = 8*i**2 - 2*i**2 + 8 - 4*i - 4. Let d(a) = -5*a**2 + 3*a - 3. Calculate m*d(w) + 3*b(w).
-2*w**2
Let h(m) = -6*m - 2. Let z(s) be the second derivative of -5*s**3/6 - s**2/2 - 2*s. Let d = -16 - -28. Suppose 8*p = 4*p - d. Calculate p*h(r) + 4*z(r).
-2*r + 2
Let j(g) = g. Let d(q) = 6*q - 1. Let c be (-8)/(-6)*(-48)/(-32). Suppose -o - 54 = 5*o. Let n = -20 - o. What is c*d(h) + n*j(h)?
h - 2
Let s(l) = 22*l + 209. Let v be s(-10). Let w(q) = 5*q**3 - 4*q**2 - 4*q - 6. Let r(y) = -9*y**3 + 8*y**2 + 7*y + 11. Give v*w(m) - 6*r(m).
-m**3 - 4*m**2 + 2*m
Let t(x) = -2. Suppose w - 6 = -4. Let p(r) = -45*r - 8 + 89*r - 45*r. Determine w*p(z) - 9*t(z).
-2*z + 2
Let s be (-243)/72 + (-6)/(-16). Let j(t) = -5*t**3 + 4*t**2 + 3*t - 1. Let n(o) = 4*o**3 - 3*o**2 - 2*o. Calculate s*n(g) - 2*j(g).
-2*g**3 + g**2 + 2
Let l be (-5)/((-1)/(5/15) - -4). Let p(i) = -7*i + 1. Let g(q) = q. Calculate l*g(j) - p(j).
2*j - 1
Let s(o) = -70*o - 85. Suppose 4*k + 344 = -60*f + 64*f, 4*k = -4. Let l(t) = 5*t + 6. Suppose -2*q + 10 = -2. Determine f*l(n) + q*s(n).
5*n
Let m(j) = -1. Suppose -t - 5*o = -11, 2*t + 31*o + 4 = 34*o. Let u(r) = 19*r + 2. Calculate t*u(h) + 4*m(h).
19*h - 2
Let a(q) = -6*q**2 - 4*q - 5. Let b(v) = -2*v**2 - 1. Determine -a(h) + 2*b(h).
2*h**2 + 4*h + 3
Suppose -3*p + 8*p - 25 = 0. Let c(f) = -2*f. Let b(v) be the first derivative of v + 5. Let u(w) = -4*w - 6. Let r(g) = -6*b(g) - u(g). Give p*c(i) + 3*r(i).
2*i
Suppose 3*a = -3*i - 99 + 27, i + 40 = 3*a. Let u(x) = -16*x**2 - 14*x - 14. Suppose 2 = t + 4. Let k(d) = d**2 + d + 1. Determine i*k(q) + t*u(q).
4*q**2
Let r(h) = h**3 + 1. Let c(o) = 156*o**3 + 234. Calculate -2*c(x) + 468*r(x).
156*x**3
Let q(f) = 32*f + 26. Let v(b) = -7*b - 5. Cal | {
"pile_set_name": "DM Mathematics"
} |
What is the g'th term of -1236668, -2473339, -3710010?
-1236671*g + 3
What is the d'th term of -2006, -15375, -51666, -122339, -238854, -412671, -655250, -978051?
-1910*d**3 - d**2 + 4*d - 99
What is the z'th term of -944, -1933, -3034, -4247, -5572?
-56*z**2 - 821*z - 67
What is the v'th term of -12542, -14814, -20984, -33002, -52818?
-325*v**3 + v**2 - 12218
What is the c'th term of 17276, 18447, 19604, 20741, 21852?
-c**3 - c**2 + 1181*c + 16097
What is the u'th term of 3074518, 3074516, 3074514, 3074512, 3074510?
-2*u + 3074520
What is the k'th term of 20354, 81610, 183738, 326738, 510610, 735354?
20436*k**2 - 52*k - 30
What is the k'th term of 23439, 23437, 23435, 23433, 23431, 23429?
-2*k + 23441
What is the b'th term of 120, -195, -1008, -2559, -5088, -8835?
-40*b**3 - 9*b**2 - 8*b + 177
What is the z'th term of -5573950, -11147962, -16722036, -22296172, -27870370, -33444630, -39018952?
-31*z**2 - 5573919*z
What is the g'th term of 53143, 53067, 52991, 52915?
-76*g + 53219
What is the g'th term of -350375, -350324, -350247, -350150, -350039, -349920?
-g**3 + 19*g**2 + g - 350394
What is the c'th term of 9862, 20109, 31138, 43339, 57102, 72817, 90874, 111663?
65*c**3 + c**2 + 9789*c + 7
What is the c'th term of 1670, -2720, -10040, -20290, -33470, -49580, -68620?
-1465*c**2 + 5*c + 3130
What is the t'th term of 58801, 235038, 528767, 939988, 1468701?
58746*t**2 - t + 56
What is the q'th term of 2667, 5778, 8891, 12006, 15123, 18242, 21363?
q**2 + 3108*q - 442
What is the w'th term of -210, -1085, -2582, -4707, -7466, -10865?
-w**3 - 305*w**2 + 47*w + 49
What is the d'th term of -2721021, -2721024, -2721027?
-3*d - 2721018
What is the t'th term of -654502, -654523, -654564, -654631, -654730, -654867?
-t**3 - 4*t**2 - 2*t - 654495
What is the m'th term of 865, 6639, 22317, 52849, 103185, 178275, 283069?
825*m**3 + 2*m**2 - 7*m + 45
What is the m'th term of -82548, -82543, -82524, -82485, -82420?
m**3 + m**2 - 5*m - 82545
What is the f'th term of 1540, 432, -1380, -3902, -7140, -11100?
-f**3 - 346*f**2 - 63*f + 1950
What is the p'th term of -218, -290, -514, -896, -1442?
-p**3 - 70*p**2 + 145*p - 292
What is the n'th term of -1469415, -2938663, -4407911?
-1469248*n - 167
What is the o'th term of -2379, -9175, -20407, -36075, -56179?
-2218*o**2 - 142*o - 19
What is the w'th term of 44337, 44269, 44169, 44031, 43849?
-w**3 - 10*w**2 - 31*w + 44379
What is the s'th term of -73753690, -73753699, -73753714, -73753735?
-3*s**2 - 73753687
What is the b'th term of -564, 1129, 2844, 4587, 6364, 8181?
b**3 + 5*b**2 + 1671*b - 2241
What is the j'th term of 114266, 228604, 342942, 457280?
114338*j - 72
What is the c'th term of -524, -10658, -27548, -51194, -81596?
-3378*c**2 + 2854
What is the d'th term of -65753, -131331, -196925, -262541, -328185, -393863?
-d**3 - 2*d**2 - 65565*d - 185
What is the k'th term of 650, 1553, 2706, 4109, 5762, 7665, 9818?
125*k**2 + 528*k - 3
What is the q'th term of 3878, 14535, 32296, 57161, 89130, 128203, 174380?
3552*q**2 + q + 325
What is the u'th term of -61333387, -61333386, -61333385, -61333384, -61333383, -61333382?
u - 61333388
What is the x'th term of -93, -294, -371, -324, -153?
62*x**2 - 387*x + 232
What is the a'th term of 7545948, 30183745, 67913390, 120734883, 188648224, 271653413?
7545924*a**2 + 25*a - 1
What is the l'th term of 79629, 159502, 239375?
79873*l - 244
What is the n'th term of 55900, 110720, 165538, 220354?
-n**2 + 54823*n + 1078
What is the g'th term of -79811, -159604, -239389, -319166, -398935?
4*g**2 - 79805*g - 10
What is the h'th term of -10558, -10753, -10938, -11107, -11254, -11373?
h**3 - h**2 - 199*h - 10359
What is the j'th term of 7417, 7908, 8711, 9826, 11253?
156*j**2 + 23*j + 7238
What is the r'th term of -108062, -216067, -324008, -431879, -539674, -647387, -755012, -862543?
r**3 + 26*r**2 - 108090*r + 1
What is the n'th term of -455919, -456152, -456385, -456618, -456851?
-233*n - 455686
What is the o'th term of -1582473, -3164919, -4747365, -6329811?
-1582446*o - 27
What is the w'th term of 20846991, 41693990, 62540987, 83387982, 104234975?
-w**2 + 20847002*w - 10
What is the r'th term of 1691, 1747, 1829, 1931, 2047?
-r**3 + 19*r**2 + 6*r + 1667
What is the a'th term of -1679482, -3358975, -5038474, -6717979, -8397490?
-3*a**2 - 1679484*a + 5
What is the o'th term of 142, -8565, -32206, -78251, -154170?
-1245*o**3 + 3*o**2 - o + 1385
What is the j'th term of 4245, 4393, 4533, 4659, 4765, 4845?
-j**3 + 2*j**2 + 149*j + 4095
What is the q'th term of 75875, 151752, 227647, 303560, 379491, 455440?
9*q**2 + 75850*q + 16
What is the x'th term of 28218, 29477, 30736, 31995, 33254?
1259*x + 26959
What is the s'th term of -3854, -3944, -4030, -4112, -4190, -4264, -4334?
2*s**2 - 96*s - 3760
What is the w'th term of -2188, -18408, -62432, -148162, -289500?
-2317*w**3 - w + 130
What is the f'th term of -148236, -296482, -444728, -592974, -741220, -889466?
-148246*f + 10
What is the d'th term of -6404345, -6404314, -6404283, -6404252, -6404221, -6404190?
31*d - 6404376
What is the o'th term of 191526, 383022, 574518, 766014?
191496*o + 30
What is the d'th term of 285000, 569980, 854952, 1139922, 1424896?
d**3 - 10*d**2 + 285003*d + 6
What is the x'th term of -166350, -329090, -491830?
-162740*x - 3610
What is the w'th term of 1550, 6943, 15934, 28529, 44734?
w**3 + 1793*w**2 + 7*w - 251
What is the h'th term of 38705592, 77411183, 116116774, 154822365, 193527956, 232233547?
38705591*h + 1
What is the t'th term of -2150, -8248, -17774, -30200, -44998, -61640, -79598?
88*t**3 - 2242*t**2 + 12*t - 8
What is the d'th term of -13664, -13496, -13328, -13160?
168*d - 13832
What is the k'th term of -5689, -22626, -50813, -90250, -140937?
-5625*k**2 - 62*k - 2
What is the w'th term of -258, -199, 166, 837, 1814, 3097, 4686?
153*w**2 - 400*w - 11
What is the w'th term of 50105, 52350, 54583, 56798, 58989, 61150?
-w**3 + 2252*w + 47854
What is the k'th term of -7409, -14974, -22531, -30080, -37621, -45154, -52679?
4*k**2 - 7577*k + 164
What is the k'th term of -5388, -4048, -2708, -1368, -28?
1340*k - 6728
What is the u'th term of 8530564, 8530566, 8530570, 8530576, 8530584, 8530594?
u**2 - u + 8530564
What is the y'th term of 8834, 17532, 26232, 34934, 43638?
y**2 + 8695*y + 138
What is the o'th term of 732, 1583, 2624, 3951, 5660, 7847, 10608?
16*o**3 - o**2 + 742*o - 25
What is the m'th term of 9932, 20256, 31030, 42254, 53928?
225*m**2 + 9649*m + 58
What is the q'th term of -30315, -121032, -272205, -483834, -755919?
-30228*q**2 - 33*q - 54
What is the v'th term of 377, 1562, 3521, 6248, 9737, 13982, 18977, 24716?
-v**3 + 393*v**2 + 13*v - 28
What is the d'th term of 1665262, 3330393, 4995526, 6660661, 8325798, 9990937, 11656078?
d**2 + 1665128*d + 133
What is the y'th term of -20234, -40439, -60630, -80807?
7*y**2 - 20226*y - 15
What is the f'th term of 103370, 207147, 310926, 414707?
f**2 + 103774*f - 405
What is the s'th term of 449705, 1798816, 4047297, 7195118, 11242249, 16188660, 22034321, 28779202?
-5*s**3 + 449715*s**2 + s - 6
What is the f'th term of 2215, 4265, 6133, 7807, 9275?
-2*f**3 - 79*f**2 + 2301*f - 5
What is the m'th term of -209540, -209613, -209724, -209891, -210132, -210465, -210908?
-3*m**3 - m**2 - 49*m - 209487
What is the x'th term of -39276, -39263, -39240, -39207, -39164?
5*x**2 - 2*x - 39279
What is the y'th term of -41995, -84078, -126127, -168142, -210123, -252070?
17*y**2 - 42134*y + 122
What is the w'th term of -2088, -4942, -9692, -16338?
-948*w**2 - 10*w - 1130
What is the j'th term of 11156, 11118, 11056, 10970, 10860, 10726?
-12*j**2 - 2*j + 11170
What is the a'th term of 4975, 9821, 14631, 19405, 24143, 28845, 33511?
-18*a**2 + 4900*a + 93
What is the r'th term of -31007, -30860, -30713?
147*r - 31154
What is the s'th term of -9192580, -18385161, -27577742, -36770323?
-9192581*s + 1
What is the g'th term of -8024, 809, 15530, 36139?
2944*g**2 + g - 10969
What is the o'th term of 37816459, 37816452, 37816445?
-7*o + 37816466
What is the y'th term of -2966, -11734, -26302, -46664, -72814, -104746, -142454?
y**3 - 2906*y**2 - 57*y - 4
What is the l'th term of -134, -1487, -2838, -4187?
l**2 - 1356*l + 1221
What is the p'th term of 36167859, 36167864, 3 | {
"pile_set_name": "DM Mathematics"
} |
t r(b) = 11240*b. Calculate r(f(w)).
22480*w
Let x(p) = 12*p**3 - 2*p + 1. Let q be x(1). Let y(j) = 3 - 3 + 9*j - q*j. Let n(h) be the third derivative of -h**4/12 + h**2. What is n(y(u))?
4*u
Let k(s) = -6*s**2. Let o(z) = -3628*z + 1789*z + 1784*z. Give o(k(i)).
330*i**2
Let y(t) = 4*t**2 + 7*t. Let j(c) = -2*c**2 - 3*c. Let u = -4 - 3. Let f(h) = u*j(h) - 3*y(h). Let m(d) be the second derivative of d**4/6 - 2*d. Give m(f(b)).
8*b**4
Let f(m) be the third derivative of -m**5/60 - 101*m**2. Let p(s) = 32*s**2. What is f(p(w))?
-1024*w**4
Let y(x) = 5*x**2. Let n(u) = -1 - 3631*u**2 + 3620*u**2 + 1. Calculate y(n(g)).
605*g**4
Let o(b) = 7*b**2. Let d(x) = 5*x**2 - 3*x - 3. Let p = -6 - -21. Let f(m) = 17 + 2*m - p + 0*m - 4*m**2. Let u(w) = -2*d(w) - 3*f(w). Give o(u(i)).
28*i**4
Let a(o) = 3*o**2. Let h(i) = -i**2. Let j(d) = -10*d**2 - 10. Let g(m) = -44*h(m) + 4*j(m). Let c(x) be the first derivative of g(x). Calculate a(c(k)).
192*k**2
Let j(k) = -k. Let z be ((-70)/(-4))/(2/(-4)). Let r = -30 - z. Let w(a) = r*a - a - 2*a + 3*a. Determine j(w(q)).
-5*q
Let r(l) = -7288*l. Let v(w) = w**2. Calculate v(r(f)).
53114944*f**2
Let q(l) be the third derivative of -5*l**4/24 + 16*l**2. Let o = 5 + -3. Let u(b) = 2*b - o*b - b**2. Determine u(q(s)).
-25*s**2
Let c(q) = 12*q - 2 + 3 - 1. Let y(x) = -9*x - 18. Let r(n) = 20*n + 39. Let z(f) = 6*r(f) + 13*y(f). Calculate c(z(o)).
36*o
Let a(j) = -j**2 - 6*j + 240. Let q(p) = -11*p**2. Calculate a(q(d)).
-121*d**4 + 66*d**2 + 240
Let g(s) = -23*s - 1. Suppose 0 = -2*d + 3*d - 9. Let l(m) = d*m**2 - 7*m**2 - m**2. What is l(g(c))?
529*c**2 + 46*c + 1
Let s(x) = -x**2 + 190. Let q(j) = 38*j + 3. What is s(q(u))?
-1444*u**2 - 228*u + 181
Let s(n) = -7*n - 12. Let g(b) = b + 2. Let w(o) = -6*g(o) - s(o). Let a(m) be the second derivative of 0 + 0*m**2 - 3/2*m**3 - 2*m. Determine w(a(j)).
-9*j
Suppose 0 = 4*y - 3*s - 2154, 5*s - 341 = -y + 209. Let g(h) = 4 - y*h - 4 + 538*h. Let k(p) = -5*p**2. Give k(g(o)).
-20*o**2
Let c be 45*-3*84/27. Let m be (-2)/5 + c/(-50). Let k(l) = 2*l**2 + 8. Let x(d) = 1. Let g(w) = m*x(w) - k(w). Let j(h) = -h. What is g(j(y))?
-2*y**2
Let u(l) = 335*l + 2*l**2 - 335*l. Let q(b) be the second derivative of 0 - b + 1/6*b**3 + 0*b**2. Calculate q(u(z)).
2*z**2
Let y(x) = 41881*x**2. Let q(t) = t. Determine y(q(b)).
41881*b**2
Let m(a) = 564439*a. Let u(f) = -7*f. Give u(m(l)).
-3951073*l
Let s(p) = -5211*p - 2. Let b(m) = 7*m**2. What is s(b(z))?
-36477*z**2 - 2
Let r(h) = -10*h**2. Let c(i) = 19*i**2 - 4*i - 2. Let y(u) = -20*u**2 + 6*u + 3. Let z(t) = 3*c(t) + 2*y(t). Calculate r(z(j)).
-2890*j**4
Let q(c) be the second derivative of 17*c**4/6 + 347*c + 1. Let l(w) = -w**2 - 1. Let r(b) = 6*b**2 + 5. Let h(v) = 5*l(v) + r(v). Determine q(h(o)).
34*o**4
Let x(d) = -2*d**2. Let w(m) = -26 + 49 - 23 - 260*m**2 - 73*m**2. What is w(x(z))?
-1332*z**4
Let j(v) = -181*v. Let k(q) = 534*q. Calculate k(j(m)).
-96654*m
Let t(k) = 180*k - 207. Let f(p) = -12*p**2. Calculate t(f(c)).
-2160*c**2 - 207
Let o(a) = 41 - 41 - 6*a. Let q(w) = -2*w**2 - 12. Suppose -2*u + 13 = 5*r, u - 2*r = 4*u - 3. Let b(y) = 1. Let c(z) = u*q(z) - 12*b(z). Determine c(o(n)).
72*n**2
Let g(q) = 4*q. Let l(f) = -14*f + 1. Let i(c) = 25*c - 2. Let m(z) = 3*i(z) + 5*l(z). Give m(g(u)).
20*u - 1
Let d(a) = 17*a**2. Let j(u) be the third derivative of -13*u**4/24 + 72*u**2. Calculate d(j(p)).
2873*p**2
Let f(h) = -h**2. Let t(y) = -31144*y**2. Give f(t(u)).
-969948736*u**4
Let g(h) = -31*h + 31*h + 6*h**2 - 6*h**2 - 12*h**2 - 2. Let w(z) = -2*z. Determine g(w(k)).
-48*k**2 - 2
Let t(j) = -j**2. Let c(x) = -883700*x. Determine c(t(s)).
883700*s**2
Let d(i) = 4*i. Let u(v) = v**3 - 6*v**2 - 2*v + 14. Let b be u(6). Let p(f) = -2*f**2 + 3*f**b - 2*f**2 + 0*f**2. Give d(p(y)).
-4*y**2
Let u(v) = -83*v. Let j(h) = h**2 - 1200*h - 5. Determine j(u(s)).
6889*s**2 + 99600*s - 5
Let f(n) = 11*n - 6. Let r(w) = 8952*w. Give f(r(m)).
98472*m - 6
Let z(p) = 3*p. Let g(l) = -7*l - 5. Suppose -12 = -2*n - 6. Let j be (n - (-4 + 3)) + 1. Let v(s) = 4*s + 3. Let x(a) = j*v(a) + 3*g(a). Calculate z(x(f)).
-3*f
Let r(a) = -277*a**2 + 5*a - 15. Let z(h) = 138*h**2 - 2*h + 6. Let i(d) = 2*r(d) + 5*z(d). Let s(p) = p**2. Calculate s(i(o)).
18496*o**4
Let q(s) be the first derivative of 2*s**3/3 - 1. Let r be (-6)/(-12) + (-2)/4. Let k(b) = -4 + r*b + 4 - 2*b. What is k(q(m))?
-4*m**2
Let d(o) = 102*o**2 - 2 - 116*o**2 + 0 + 2. Let w(m) = -3*m**2 + 15. Give w(d(i)).
-588*i**4 + 15
Let t(h) = -2*h. Let x(c) = -191256*c + 1. Give t(x(y)).
382512*y - 2
Let x(m) = -5*m. Suppose -2*y - 2*y + 60 = 0. Let r(q) = 20*q + y*q - 32*q. Give r(x(i)).
-15*i
Let a(i) = 2*i**2. Let y(x) = -744724*x + 4. What is y(a(f))?
-1489448*f**2 + 4
Let m(f) = -f**2 + 4*f + 13. Let c(k) = k - 1. Let b(q) = -4*c(q) + m(q). Let a(h) be the first derivative of b(h). Let w(v) = 3*v. Determine w(a(g)).
-6*g
Let j(m) = 130 - 66 + m - 64. Let o(r) = 16*r. Determine o(j(p)).
16*p
Let m(i) = -i**2. Suppose 84 = 8*b + 6*b. Let h(x) be the second derivative of 0 + 0*x**3 + 0*x**2 - b*x + 1/6*x**4. Give h(m(v)).
2*v**4
Let s(z) = -137*z**2 + 258*z**2 + 163*z**2. Let p(o) = -o. What is s(p(i))?
284*i**2
Let q(b) = 3*b. Let l(s) = -22767*s. Determine q(l(i)).
-68301*i
Let b(f) = 63*f. Let n(u) = -7*u**2 + 4*u + 4. Let i(a) = -a**2 + a + 1. Let l(s) = 4*i(s) - n(s). Give l(b(p)).
11907*p**2
Let y(v) = 0*v**2 + 4 - 2*v**2 - 4. Let x(s) be the third derivative of -3*s**5/20 - 42*s**2. Calculate y(x(o)).
-162*o**4
Let a(t) = -t. Let i(l) = 2*l. Let u(n) = 3*a(n) + i(n). Let p(f) = -26*f**2. Determine p(u(v)).
-26*v**2
Let d(n) = 4 + 3*n**2 + 0 - 4. Let u(b) = -14*b. Let c(r) = 40*r. Let t(h) = -3*c(h) - 8*u(h). What is d(t(g))?
192*g**2
Let h(a) = 532*a. Let i(k) be the third derivative of -k**5/60 + 352*k**2. What is h(i(o))?
-532*o**2
Let h(k) = -41*k. Let q(n) be the first derivative of 5*n**2/2 - 589. What is h(q(s))?
-205*s
Let t(w) be the first derivative of w**4/12 - 21*w - 1. Let o(r) be the first derivative of t(r). Let x(b) = 8*b. Give o(x(f)).
64*f**2
Let d(c) = -c. Suppose -47*w + 52*w - 185 = 0. Let z(q) = w + 17*q + 4*q - 37. Determine d(z(s)).
-21*s
Let a(r) = -r - 1. Let j be (-3)/(0 + 3/3). Let q be a(j). Let h(s) = 53*s**2 - 25*s**q - 19*s**2. Let u(x) = 2*x**2. Determine h(u(k)).
36*k**4
Let l(d) = -81*d**2. Let c(z) be the third derivative of -z**4/12 - 99*z**2. Calculate c(l(u)).
162*u**2
Let o(y) = 239*y**2 - 70. Let q(g) = g. Give o(q(v)).
239*v**2 - 70
Let y(x) = -26*x + 11. Let n(o) = 9*o - 4. Let z(g) = 11*n(g) + 4*y(g). Let p(v) = v**2 - 3. Let i be p(5). Let d(k) = -44*k + i*k + 27*k. Calculate z(d(m)).
-25*m
Let g(x) = 68*x - 2. Let w(n) be the third derivative of n**5/60 + n**2 + 26*n. Calculate g(w(h)).
68*h**2 - 2
Let i(j) = -5*j**2. Let p(v) = 2 - 1 + 6*v**2 + 3. Let n(t) = -t**2 - 1. Suppose -8*z + 13*z = 5. Let r(b) = z*p(b) + 4*n(b). What is i(r(u))?
-20*u**4
Let r(c) = 2*c. Let q be 2/(1 + -5 + 6). Let z(k) = 1 - 14*k + k - q. Calculate z(r(n)).
-26*n
Suppose 2*i - 4 = -0. Let p(j) be the first derivative of -7 - j**2 - 1 + 0 - 2*j**i. Let y(n) = 3*n. Determine p(y(t)).
-18*t
Let l(o) = 73*o. Let f(c) be the second derivative of -c**5/30 + 8*c**2 + 42*c. Let q(k) be the first derivative of f(k). Give q(l(x)).
-10658*x**2
Let j(i) = 2*i**2. Let n(b) = 26*b + 99*b - 28*b. What is j(n(u))?
18818*u**2
Let f(q) = -q**2. Let t = -25 - -34. Suppose 21 = 3*m - t. Let h(d) = -m*d - 20 + 20. Give h(f(x)).
10*x**2
Let m(l) = 4*l**2 + 12*l + 3. Let x(f) = 120*f**2 + 352*f + 88. Let b(o) = -176*m(o) + 6*x(o). Let t(h) = 3*h**2 + 14. Determine t(b(i)).
768*i**4 + 14
Let i(v) = 33322 - 3*v**2 - 33322. Let g(a) = -6*a. What is i(g(o))?
-108*o**2
Let q(z) be the third derivative of -z**5/15 + 2*z**2. Let c(s) be the first derivative of 0*s + 9 + 1/2*s**2. Determine c(q(a)).
-4*a**2
Let t(n) = -12*n**2. Let u(y) = y**2 + 86120*y. What is u(t(j))?
144*j**4 - 1033440*j**2
Let y(q) = 5*q. Let b(m) = 215133*m. Give b(y(f)).
1075665*f
Let v(x) be the third derivative of x**5/30 + 5*x**4/24 + 3*x**2. Let o(k) = -3*k**2 - 8*k. Let u(b) = -5*o(b) - 8*v(b). Let m(z) = 28*z. Give u(m(q)).
-784*q**2
Let u(j) = -1865699*j. Let o(i) = 2*i. What is u(o(n))?
-3731398* | {
"pile_set_name": "DM Mathematics"
} |
)/3 + 4/(-6)). Let n(w) = -11*w**2 - w + 21. Give x*n(s) + 8*i(s).
-s**2 - 3*s + 7
Let c(s) = -s + 1. Let m = -16099 + 16098. Let h(i) = -20*i**2 - 60*i + 60. Give m*h(x) + 60*c(x).
20*x**2
Let p(z) = z**2 + 9. Let x(u) = 6*u**2 - 367*u + 71. Calculate 8*p(d) - x(d).
2*d**2 + 367*d + 1
Let l(y) = 533. Let a(m) = -178. Let i(w) = 3*a(w) + l(w). Let z(x) = 8*x - 10. Calculate 12*i(k) - z(k).
-8*k - 2
Let w(n) = 11*n**3 + 7*n**2 - 28*n + 11. Let k(r) = 5*r**3 + 4*r**2 - 13*r + 5. Determine 13*k(o) - 6*w(o).
-o**3 + 10*o**2 - o - 1
Let s(c) = 6*c - 6. Let b(m) = -118*m + 361*m - 118*m - 124*m. Calculate 10*b(u) - s(u).
4*u + 6
Suppose -2*b + 33 = -5*b. Let o(j) = 23*j**2 + 11*j + 5. Let r(n) = -131*n + 276*n + 7*n**2 - 3 + 5 - 141*n + n**2. Determine b*r(a) + 4*o(a).
4*a**2 - 2
Let y(p) = 11*p**3 + 4*p**2 + 2*p. Let j(c) = 21*c**3 + 7*c**2 + 4*c. Let r(w) = 47*w**2 + 283*w + 13. Let b be r(-6). What is b*y(d) - 4*j(d)?
-7*d**3 - 2*d
Suppose 7 = -c - 5*o, -37*c = -36*c - 4*o - 11. Let i(a) = 4*a**3 - 37*a**2 + 2*a + 5. Let j(b) = -2*b**3 + 19*b**2 - b - 3. Give c*i(r) + 5*j(r).
2*r**3 - 16*r**2 + r
Let m be (-6 + (-80)/(-16))/(1/(-2)). Let w(l) = -l**3 + 19*l - 5. Let v(s) = -5*s + 1. What is m*w(d) + 9*v(d)?
-2*d**3 - 7*d - 1
Let x(l) = l**2 - 2*l + 2. Let h(n) = -45*n**2 + 18*n - 18. Let c(g) = h(g) + 12*x(g). Let w(b) = -32*b**2 - 5*b + 5. What is -5*c(m) + 6*w(m)?
-27*m**2
Let n(s) = 5*s - 16. Let q(v) = v + 1. Suppose 0 = -44*z - 156*z - 600. Calculate z*q(p) + n(p).
2*p - 19
Let i(v) = -49*v + 9. Let j(c) = 17*c - 5. Let g(y) = -47*y + 15. Let a(s) = 2*g(s) + 7*j(s). Determine -7*a(o) - 4*i(o).
21*o - 1
Let b(q) = 4*q**3 - 16*q**2 - 2*q. Let a(u) = -5*u**3 - u**2 + 453 + 2*u + 18*u**2 - 243 - 210. Determine 5*a(h) + 6*b(h).
-h**3 - 11*h**2 - 2*h
Let d(z) = -z**3 + 39*z**2 + 3*z + 7. Let x(g) = 12*g**2 + 187935*g**3 + 5 + 14*g**2 - 187936*g**3 + 2*g. Determine 5*d(f) - 7*x(f).
2*f**3 + 13*f**2 + f
Let r(n) = -89*n + 286. Let b(y) = -59*y + 186. What is -11*b(c) + 7*r(c)?
26*c - 44
Let d(k) = -6*k + 22. Let f(c) = -2*c + 7. Let r = -13129 - -13145. Determine r*f(t) - 5*d(t).
-2*t + 2
Suppose -18*j + 6*j + 108 = 0. Suppose m + 4*m + q = 24, 0 = m - 4*q - j. Let v(a) = a - a + 4*a**2 + 2*a + 5 + a. Let g(f) = -f - 1. What is m*g(i) + v(i)?
4*i**2 - 2*i
Let z(q) = -728*q**2 + 169*q. Suppose 2*v + 76 = -3*f - 606, -4*f = -2*v - 668. Let b(h) = 13*h**2 - 3*h. Give v*b(k) - 6*z(k).
-26*k**2
Let i(n) = -3*n**3 - 3*n**2 - 12*n. Let l(u) = 2*u**3 - 11*u**2 - 108*u - 18. Let q be l(-5). Let w(h) = 9*h**3 + 8*h**2 + 35*h. Calculate q*w(r) - 8*i(r).
-3*r**3 - 9*r
Let u(l) = 5*l + 26 - 13 - 9. Let n(t) = 3*t + 3. Let q(m) = 8*n(m) - 5*u(m). Let r(y) = -y + 5. Let s = 8 - 5. Give s*q(v) - 2*r(v).
-v + 2
Let v(x) = -x**2 - 4*x + 5. Let w(b) = 2*b**2 + 13*b - 14. Suppose 369*t = -1297*t - 424*t - 6270. Let y be (3 + -1)/2 + -9. What is t*w(p) + y*v(p)?
2*p**2 - 7*p + 2
Suppose 0 = -5*q + 22 + 3. Let s(d) = 3*d - 8. Let k(i) = i**2 - 13*i. Let p be k(12). Let f = p - -18. Let g(j) = -2*j + 7. Calculate f*g(w) + q*s(w).
3*w + 2
Let y(h) = 3504*h**2 - 692. Let p(g) = -584*g**2 + 120. Give -23*p(f) - 4*y(f).
-584*f**2 + 8
Let s(g) = 4*g - g - 5*g - g - 1. Suppose -679 = 157*u - 60*u. Let c(v) = 5*v + 1 - 2*v + v. What is u*s(h) - 5*c(h)?
h + 2
Let b(z) = 8295*z**2 - 3*z - 12. Let d(s) = 8297*s**2 - 2*s - 8. What is 2*b(m) - 3*d(m)?
-8301*m**2
Let r(i) = -9*i**2 - 6*i + 4. Let k(x) = -3*x**3 - 32*x**2 - 54*x - 347. Let f be k(-10). Let p(j) = -4*j**2 - 3*j + 2. Calculate f*p(d) + 3*r(d).
d**2 + 3*d - 2
Let q(c) = -44*c + 1. Let x(b) = 737*b - 12. Determine -6*q(h) - x(h).
-473*h + 6
Let c(r) = -r + 2. Let p = 12717 - 12715. Let a(k) be the first derivative of 3*k - 4*k - 6*k - 4 + k**2. Calculate p*a(v) + 7*c(v).
-3*v
Let l(x) = 8*x**3 + 7*x**2 - 7*x - 7. Let d(w) = -4*w**3 - 4*w**2 + 4*w + 4. Suppose -5*c = 2*h + 45, 3*h + 9 = 3*c + 15. Calculate c*d(v) - 4*l(v).
-4*v**3
Suppose -9 = -s - 6. Let i(k) = k**2 - k + 1. Let l(b) = 0*b + b - 4*b - 88*b**2 + 44*b**2 + 46*b**2. What is s*i(u) - l(u)?
u**2 + 3
Let u(c) = -c + 4. Let h(m) be the first derivative of -m**2 + 13*m - 2062. Let k = -9 + 7. What is k*h(t) + 7*u(t)?
-3*t + 2
Let i(c) = 989*c - 1002*c - 146 + 152. Let u(a) = -364*a + 169. Determine 169*i(y) - 6*u(y).
-13*y
Let a(t) = -t**2. Let c(m) = -7*m**3 + 3*m**2 + 2*m. Let w = 4567 + -4570. Let x be (-4 - (1 + -4))/1. What is w*a(h) + x*c(h)?
7*h**3 - 2*h
Let v(w) = 7178782*w. Let l(h) = -1766*h. Give -12194*l(z) - 3*v(z).
-1742*z
Let b(o) = o**2 - 3*o - 113. Let n be b(-9). Let w(t) = 8 - 3 + 0*t - 3*t - 3 - 6. Let a(g) = -4*g - 5. What is n*w(u) + 4*a(u)?
-u
Let w(h) = h - 1. Let r(p) = -p**3 + 11*p**2 + 59*p - 445. Let z be r(13). Let f(k) = 6*k - 4. Determine z*w(m) + 3*f(m).
2*m + 4
Let p(b) = 4*b**2 + 1. Let s(u) be the first derivative of u**5/60 - 57*u**2 - 183. Let h(v) be the second derivative of s(v). Calculate -7*h(m) + 2*p(m).
m**2 + 2
Let j(o) = -382*o**2 - 76*o - 11. Let y(s) = 191*s**2 + 35*s + 5. Calculate -6*j(r) - 13*y(r).
-191*r**2 + r + 1
Let u(z) be the third derivative of z**4/24 + 2*z**2 + 285*z. Let h(x) = x**2 + 6*x - 2. Let a be -1 + (-18)/6 + 3. Give a*h(q) + 4*u(q).
-q**2 - 2*q + 2
Let i(p) = -41*p**2 + 22*p + 639. Let w(a) = 7*a**2 - 4*a - 128. What is 2*i(r) + 11*w(r)?
-5*r**2 - 130
Let f(g) = g**2 + 13*g. Let l(z) = z**2 + 13*z. Let s = 4862 - 4868. What is s*l(d) + 5*f(d)?
-d**2 - 13*d
Let o(x) = 13*x**2 - 5*x - 2. Let w(i) = 32*i**2 - 13*i - 5. Determine -13*o(b) + 5*w(b).
-9*b**2 + 1
Let f(p) = -2331*p**2 - 5*p + 42. Let v(b) = -1166*b**2 - 3*b + 25. Calculate 3*f(m) - 5*v(m).
-1163*m**2 + 1
Let g(q) = 115*q**2 - 5*q + 5. Let o(m) = 277*m**2 + 4 - 450*m**2 + 68 - 418*m**2 - 72*m + 2259*m**2. Calculate -72*g(v) + 5*o(v).
60*v**2
Let h = -557 - -561. Let t(m) be the third derivative of m**4/4 + 5*m**3/6 - 10*m**2. Let r(u) = -11*u - 9. Give h*r(g) + 7*t(g).
-2*g - 1
Let u(b) = -59759221*b + 59844. Let c(j) = -19973*j + 20. Calculate 14961*c(d) - 5*u(d).
-19948*d
Let o(v) = -658280205*v - 135898. Let h(t) = -19376*t - 4. Give 67949*h(s) - 2*o(s).
-19414*s
Let p(s) = 2*s**3 - 5*s - 4. Suppose c - 9*c = 240. Let b = c + 32. Suppose 4 = -m + 2*u, m - b*u + 16 = 3*m. Let k(y) = -y - 1. What is m*k(i) - p(i)?
-2*i**3 + i
Let q(g) be the second derivative of 7*g**3/6 + g**2/2 + 4067*g. Let h(l) = -l**2 - l. Calculate 2*h(t) + q(t).
-2*t**2 + 5*t + 1
Let b(s) = 32*s**2 - 37830*s - 16. Let f(y) = -10*y**2 + 12610*y + 5. What is -4*b(z) - 13*f(z)?
2*z**2 - 12610*z - 1
Let s be 4/2 - (10 + -16 + 12). Let n(t) = 5*t**2 + 2*t - 12. Let l(x) = 11*x**2 + 4*x - 25. What is s*l(o) + 9*n(o)?
o**2 + 2*o - 8
Let z(s) = -3*s**3 - s + 6. Let a(d) be the third derivative of -d**6/120 - 6*d**2 + 96*d - 4. What is 2*a(r) - z(r)?
r**3 + r - 6
Let b(p) = -44*p**3 + 16*p**2 + 13*p - 8. Let q(n) = -31*n**3 + 11*n**2 + 9*n - 5. Give 5*b(c) - 7*q(c).
-3*c**3 + 3*c**2 + 2*c - 5
Let j(s) = 14*s**3 - 3*s**2 + 1. Let c(y) be the first derivative of 27*y**4/4 - 5*y**3/3 + 3*y - 1387. What is -3*c(a) + 5*j(a)?
-11*a**3 - 4
Let k be (-6)/(-15) + ((-33)/(-30))/(16/96). Let c(n) = -23*n**2 - 7*n + 7. Let p(o) = -22*o**2 - 6*o + 6. Determine k*p(j) - 6*c(j).
-16*j**2
Let b(s) = -5*s. Suppose -3*f + 55 - 19 = 0. Let z(m) = -f*m + 52*m - 17*m - 7*m. What is -8*b(i) - 3*z(i)?
-8*i
Let o(a) = -5*a + 4. Suppose -3*i = 4*f - 12, -i + 2*f = 7*f - 4. Let l(v) = -2 - 10*v + i*v + 10*v - 3. Determine -6*l(u) - 5*o(u).
u + 10
Let y(m) = 216*m**3 + 24*m**2 - 21*m + 10. Let b(k) = 43*k**3 + 5*k**2 - 4*k + 2. Give 11*b(n) - 2*y(n).
41*n**3 + 7*n**2 - 2*n + 2
Let v(g) = -14917*g - 8. Let l(u) = 2131*u + 1. Calculate -15*l(d) - 2*v(d).
-2131*d + 1
Let w(y) = 32*y**2 + 3. Suppose 4*z - 11 = -5*m, 2 = z + 8. Let i(s) = 65*s**2 + 7. Give m*w(x) - 3*i(x).
29*x**2
Let p(s) = 80*s - 55. Let u(j) = 160*j - 147. Calculate 5*p(z) - 2*u(z).
80*z + 19
Let n(c) = -2*c - 4. Suppose 5*a = 17 + 13. Let q(z) = 11*z + 23. Suppose 3*p + 3*k + 17 = 113, -7*p - 5*k = -228. What is a*q(o) + p*n(o)?
-2*o + 2
Let u(r) = -21*r. Let t(o) = 54*o + 8. Let l(z) = 106*z + 18. Let g(i) = -4*l(i) + 9*t(i). What is 2*g(v) + 7*u(v)?
-23*v
Let q(n) = -n**2 - n - 1. Let m(k) = k**2 - 163*k + 5383. Let j be m(46 | {
"pile_set_name": "DM Mathematics"
} |
8*n - 10. Let m = -34 - -39. Suppose -m*w + 2 = -8. List the prime factors of j(w).
2, 3
Let c(p) = -11*p**2 - 4*p**3 + 12*p**2 - 1 - p - 2*p. Suppose -20*z - 26 = -7*z. What are the prime factors of c(z)?
41
Let a = -3494 - -8124. What are the prime factors of a?
2, 5, 463
List the prime factors of (-2588 - 0)*87/(-58).
2, 3, 647
Let x(t) = t**2 - 19*t + 48. Let g be x(16). Suppose g = -2*q - 166 + 498. List the prime factors of q.
2, 83
Let f = 428 - 429. What are the prime factors of f - (97/(-4))/(5/60)?
2, 5, 29
List the prime factors of 23 + -26 + ((-564)/10)/((-2)/50).
3, 7, 67
Let o be (-3 + 6)*-1*63/(-27). What are the prime factors of (-1844)/(-12) - o/(-21)?
2, 7, 11
Suppose -68*m - 89697 + 18161 = -70*m. List the prime factors of m.
2, 17, 263
Suppose -3*v - 317 = 5*l - 8322, v = 5*l + 2675. Suppose -6*f - 4*w - 4005 = -9*f, -2*f - 4*w = -v. List the prime factors of f.
3, 5, 89
Suppose 0 = -2*u - 0*u - 102. Let d(p) = -p**3 - 11*p - 17. Let b be d(4). Let r = u - b. What are the prime factors of r?
2, 37
Let l be -3 - (-8)/3 - (-1355)/15. Let q = l - 87. What are the prime factors of (18/(-7))/(q/(-238))?
2, 3, 17
Suppose -2*g = -0*g + 3*d - 6215, 2*g - 5*d - 6239 = 0. What are the prime factors of g?
2, 389
Let d be (-2)/(-2)*(20 - 31)*-1. Suppose 9*o - 40 = -d*o. List the prime factors of o.
2
Let u = -1764 - -3332. Let t = u - 181. List the prime factors of t.
19, 73
Suppose -136*b = -145*b + 26145. List the prime factors of b.
5, 7, 83
Suppose 0 = i + 5, -5*n - 3*i = 2*i. Suppose -3*x - 4*q = -1873, 2*x + 3*x = -n*q + 3130. What are the prime factors of x?
631
Suppose 5*x - 23106 = 4*u, -228*x + 226*x + 9264 = 2*u. What are the prime factors of x?
2, 3, 257
Suppose 52*f = 2075923 + 1845729 - 1013916. What are the prime factors of f?
2, 73, 383
Let o(c) = 5*c + c**3 - 5*c**2 + 6*c**2 - 120 + 117. Suppose 28 - 8 = 5*u. List the prime factors of o(u).
97
Suppose 19*z - 2604 = -894. Suppose 10230 = z*q - 84*q. What are the prime factors of q?
5, 11, 31
List the prime factors of (-50743)/(-9) + 1096/1233.
5639
Suppose -3*h = -d - 28 - 27, -20 = 5*d. Let b(c) = 35*c + 160. List the prime factors of b(h).
5, 151
Let m(l) = -2*l**2 + 39*l + 115. Let j be m(22). Suppose -1968 = -3*u - j*c + 355, 0 = -c - 1. What are the prime factors of u?
2, 97
Let x = 1838 - -2768. Suppose -x = 5*p - 12*p. List the prime factors of p.
2, 7, 47
Let b = -17191 - -29182. List the prime factors of b.
3, 7, 571
Let z = -86 + 101. What are the prime factors of (-12)/2*(10 - z)?
2, 3, 5
Let w(n) = n**2 - 5*n - 12. Let s be w(7). Suppose 5*b - 36 + 9 = 2*m, s*b - 2*m = 12. List the prime factors of (b - 6)/(3/(-48)).
2
Let f(g) = -6*g - 12. Let j be f(-3). Suppose -1246 = -20*u + j*u. What are the prime factors of u?
89
Let j(g) be the second derivative of g**4/12 + 7*g**3/6 - g**2/2 - 10*g. Let z be j(-7). List the prime factors of z/(-2) + 21/(-24)*-4.
2
Let o(m) = 9*m**2 + 6*m + 40. Let s = -478 - -465. List the prime factors of o(s).
1483
Suppose 4*v = -p + 18327, -20 = -44*p + 48*p. What are the prime factors of v?
4583
Let q(i) = -i + 2. Let g be q(-3). Suppose -2*c = 5*v - 32, 0 = -g*v + 10. Let l = c + 33. List the prime factors of l.
2, 11
Suppose 18*z - 40501 - 62495 = 0. List the prime factors of z.
2, 2861
Suppose 3794 = 16*w - 161907 + 14949. List the prime factors of w.
2, 7, 673
Suppose 3*z = -4*t + 113981, 3*z - 3*t - 68110 - 45836 = 0. List the prime factors of z.
37987
Let i = 11 - 8. Suppose -i*q + q = -326. Suppose q = 4*g - m - 251, -2*g = -4*m - 214. What are the prime factors of g?
103
Let j be 12/8 + (-22755)/(-10). Suppose -10*k = -7*k - j. What are the prime factors of k?
3, 11, 23
Let n = 14935 + -6867. What are the prime factors of n?
2, 2017
Let x be 1/((4 + -9)/(-30)). List the prime factors of 8356/28 - x/14.
2, 149
Let u(n) = -2691*n - 2072. List the prime factors of u(-6).
2, 31, 227
Suppose 2*n + 4*v = 7*v + 13894, 0 = -3*n + v + 20855. List the prime factors of n.
17, 409
Let u be 17/3 + (4 - (-28)/(-6)). Let v = -51 - -42. List the prime factors of 20/(v/u - -2).
2, 5
Suppose h = 11*k - 10*k + 164, -328 = -2*h + k. Suppose 5*v = -3*g + 671, -5*v + h = -5*g - 531. What are the prime factors of v?
2, 17
List the prime factors of ((-299186)/30 - 18/135)*-3.
3, 9973
Let v(y) = -y**3 + 3*y**2 + 9*y + 3. Let w be v(5). List the prime factors of (-1192)/(-20)*(-2 + (-9)/w).
149
Suppose -7*x + 16 = -3*x. Suppose 0 = -x*k + 3*v, -6*k + 4*k + 3*v = 0. Suppose 0 = 3*p + 2*w - 30, 10 = p - k*p + 2*w. What are the prime factors of p?
2, 5
Let s(o) be the third derivative of -35*o**4/24 - 11*o**3/6 - 36*o**2 - 2*o. What are the prime factors of s(-8)?
269
Let l(u) = 16*u**2 + 49*u - 50. List the prime factors of l(-34).
2, 5, 839
Let g = 23 - -250. Let o be 375/(-3) - (20/(-30))/((-4)/(-30)). Let d = g + o. List the prime factors of d.
3, 17
Suppose -40366*j = -40380*j + 376404. What are the prime factors of j?
2, 3, 4481
Suppose 832549 = -101*v + 204*v. What are the prime factors of v?
59, 137
Let c = -72 - -584. Let y = 912 - c. Suppose -224 - y = -4*d. List the prime factors of d.
2, 3, 13
Suppose -16301 - 15835 = -17*x - 2505. What are the prime factors of x?
3, 7, 83
Suppose 4*l = 2*d + 70, 37 = 3*l - 3*d - 20. Let s be (688/l)/(0 - -1). Let u = s + -24. What are the prime factors of u?
19
Let l(i) = -5*i - 23. Let g be l(-6). Suppose 4*t - g = 1. Suppose -t*w + 5*o + 26 = -w, -w = 4*o - 53. What are the prime factors of w?
41
Suppose -y - 94 = -4*m, 0 = 8*m - 13*m - 5*y + 130. Suppose 5*u - 4*p - 36 = u, -4*p - m = -3*u. List the prime factors of u.
2, 3
Suppose 464*a = 445*a + 345857. What are the prime factors of a?
109, 167
Suppose 1216150 = 64*n + 88*n - 127*n. List the prime factors of n.
2, 13, 1871
List the prime factors of (89*6/(-5))/((-741)/427310).
2, 89, 173
Suppose -3*s + 3*j = -2395 - 758, 0 = 4*j - 8. List the prime factors of s.
3, 13
Let t(w) = -7*w**3 - w - 1. Let g be t(-1). Let v(j) = -11*j**2 + 31*j - 41. Let l(b) = b**2 - 3*b. Let r(m) = -7*l(m) - v(m). List the prime factors of r(g).
167
Let u be (-2)/(4 - 35/45 - 3). What are the prime factors of (u - (-498)/54) + 1699/9?
3, 7
Let b(p) = 276*p + 266. List the prime factors of b(9).
2, 5, 11
Let q(v) = 285*v**2 + 103*v + 1089. List the prime factors of q(-12).
3, 43, 317
Let x(n) = -400*n + 1108. List the prime factors of x(-9).
2, 11, 107
Let p be 1*1197/(-9)*(1 - 0). Let a = p - -69. Let s = 301 + a. What are the prime factors of s?
3, 79
Suppose 0 = -g - 2*m + 16234, 2*g - 33743 = -2*m - 1291. List the prime factors of g.
2, 3, 17, 53
Suppose 0 = -7*v + 5*v + 5*l + 275, 4*v + 2*l - 562 = 0. Suppose -4*t + 1855 = 3*s, -2*t + v = 5*s - 791. List the prime factors of t.
463
Suppose -201*b = -247*b + 94162. List the prime factors of b.
23, 89
Let x(t) = t - 8*t - t**2 - 3*t - 13*t - 20. List the prime factors of x(-13).
2, 5, 11
List the prime factors of (-2 + 48783/2)/((-6 + 10)/8).
48779
Let p(l) = 1095*l + 19056. What are the prime factors of p(64)?
2, 3, 619
Let c = -28 + 30. Suppose 7*u = 9*u - r + 8, c*r - 22 = 5*u. Let b(a) = 11*a**2 + 48*a + 9. What are the prime factors of b(u)?
3, 13
Suppose -14*y + 79255 = -11*y + 8*g, 0 = -3*g - 21. List the prime factors of y.
26437
Let g(b) be the second derivative of 7*b**4/3 + 13*b**3/2 - 27*b**2/2 + 57*b. What are the prime factors of g(6)?
3, 5
Suppose -2100 - 276 = -8*u. Let h be u/(-36)*4*-3. Suppose 3*f - 72 = h. List the prime factors of f.
3, 19
List the prime factors of -46*((-324)/243)/(4/4506).
2, 23, 751
Let d(u) = -4*u + 45. Let m(j) = -2*j**3 + 7*j**2 - 10*j - 4. Let l be m(3). List the prime factors of d(l).
5, 29
Let y(n) be the second derivative of n**5/20 - n**4/2 - 17*n**3/6 + 19*n**2/2 - 19*n. List the prime factors of y(13).
3, 109
Suppose 3*q + 72242 + 344219 = 26*q. List the prime factors of q.
19, 953
Let u = 41382 - 18664. List the prime factors of u.
2, 37, 307
Let x(w) = -w**3 - 9*w**2 - 10*w + 30. Let z be x(-7). Suppose -z*r + 61 = -419. What are the prime factors of r?
2, 3, 5
Suppose 339 + 267 = 2*y. Let j = y - 217. List the prime factors of j.
2, 43
Let a = -5 - -15. Suppose 5*w - 2 = -4*v + 5*v, -4*w = 5*v + a. Let k = 78 - v. What are the prime factors of k?
2, 5
Let m = | {
"pile_set_name": "DM Mathematics"
} |
- 2*h**3 as j*h**3 + a*h**2 + y + l*h and give l.
1
Express 4*q**2 - 2*q**2 - 4*q**2 + (3*q**2 + 4*q**2 - 5*q**2)*(-22 + 10 + 15) in the form v*q + h*q**2 + i and give h.
4
Rearrange 1 + 4*f**4 - 4 - 3*f**3 + 5*f**3 - f**4 to d*f + l*f**2 + q*f**3 + r + c*f**4 and give r.
-3
Rearrange (-a - a + a)*(0*a**3 + 2*a**3 + 0*a**3) + 6*a**4 - 6*a**4 + 7*a**4 to y*a**2 + w*a**4 + d + k*a + s*a**3 and give w.
5
Express -3*m**2 + 2*m**2 + 0*m**2 + (3*m - 3*m + m**2 + (1 - 4 + 5)*(m**2 + m**2 - 3*m**2))*(-94 - 12 + 2) in the form k + n*m**2 + q*m and give n.
103
Rearrange 2*w**2 - 2 + 21*w**3 - 2*w**2 - 4*w**3 to the form q*w**2 + s*w + l*w**3 + a and give a.
-2
Express -8*g**2 + 8*g**2 + g - 2*g**2 - 6*g**4 as d + q*g**3 + x*g + a*g**4 + m*g**2 and give m.
-2
Rearrange -73*c + 3873 - 3873 to the form a + r*c and give r.
-73
Express (-k + 2*k**2 + k)*(-91*k + 114 - 59 - 55) in the form m*k + c*k**2 + n + o*k**3 and give o.
-182
Rearrange 42*d - 83*d + 41*d + 39*d**2 to g*d**2 + y*d + l and give g.
39
Express -j**2 + 24 - j**4 - 6*j**3 - 24 in the form c + h*j**3 + b*j + q*j**4 + f*j**2 and give b.
0
Rearrange (0*d + 2*d + 0*d)*((-2 + 4 - 3)*(0 + d**3 + 0) + 10*d**3 + 13*d**3 - 19*d**3) to g*d**3 + l*d**4 + n + k*d + i*d**2 and give l.
6
Rearrange -4*x**4 + 3*x**4 + 3*x**4 + (-2*x**2 - x**2 + 5*x**2)*(-6*x - 2*x**2 + 6*x) to i + d*x + w*x**2 + n*x**3 + a*x**4 and give a.
-2
Express 4*l - 2*l - 2*l**3 - l**2 - 4*l in the form o*l**2 + m*l + h*l**3 + f and give m.
-2
Rearrange (-k + 0*k + 13*k)*(-2 + 2 - 4*k) to m + d*k**2 + t*k and give d.
-48
Rearrange -8*l + 4*l - 6*l - 9*l to the form b*l + u and give b.
-19
Express (3 - 5 - 1)*(a - 2*a + 3*a)*(5*a - 6*a + 6*a) as v*a**2 + x + g*a and give v.
-30
Express 4*r**2 - r**2 - r**2 + 1 + 22*r**4 - 4*r**4 in the form m*r**2 + g*r + y + f*r**4 + h*r**3 and give f.
18
Rearrange (-6 + 3 + 1)*(3*i - 4*i + 0*i)*(24 - 82 - 20) to n*i + a and give n.
-156
Rearrange -2*g - 5*g**2 - 3*g + 0*g + 3*g**2 to the form p + o*g + x*g**2 and give p.
0
Rearrange 3*k - 3*k + 4*k to the form q*k + z and give q.
4
Express -3*w**2 + 2*w**2 + 3*w**2 + (1 - 3 + 0)*(-2*w**2 + 0*w + 0*w) - 119*w**2 - 48*w**2 + 45*w**2 in the form s*w**2 + k*w + l and give s.
-116
Express 54*g + 47*g - 117*g in the form k*g + n and give k.
-16
Rearrange (-49 + 49 - 55*q)*(-2*q**3 - q**3 + 5*q**3) to j*q**4 + y*q**3 + m*q**2 + l*q + t and give j.
-110
Express 2 + 4 + 6*k**2 - 2*k**3 + k**2 - 7 in the form o + p*k**3 + f*k**2 + m*k and give f.
7
Rearrange -4 - 28*m + 3*m + 4 to the form k*m + p and give k.
-25
Rearrange 51*b**4 - b - b**3 - 7*b**4 - 29*b**4 to c*b**3 + f*b**4 + a*b**2 + t*b + s and give f.
15
Express 0 + 3*j**2 + 0 - 163*j**3 + 167*j**3 in the form v*j**2 + i*j**3 + b*j + p and give i.
4
Rearrange (-8 + 22*r**2 + 10 - 6*r**2)*(0 - 1 + 0 + (2 + 0 - 1)*(-1 + 2 + 1) + 4 + 5 - 3) to w*r**2 + l*r + g and give w.
112
Rearrange -1 + 6*h**4 + 22*h**3 + 2*h**4 - 2*h - 6*h**4 to q*h**3 + z*h**2 + p*h**4 + g*h + o and give g.
-2
Express (-l**4 + 0*l**4 - 2*l**4)*(-3 + 0 + 4) + 8*l**2 - 9*l**2 - 12*l**4 + 0*l**2 in the form s*l**2 + w*l**3 + m + k*l + y*l**4 and give s.
-1
Rearrange (-3*p - 3*p + 7*p)*(-2*p**2 + 2*p**3 + 2*p**2) + (0*p**4 + 5*p**4 - 4*p**4)*(-3 + 0 + 0) to h*p + t*p**4 + s + r*p**2 + y*p**3 and give t.
-1
Express (2 - 2 + 2)*((-4*v + 3*v + 2*v)*(0 + 2 - 3) + 9 - 9 - 7*v)*(4*v + 2*v - 4*v) in the form x + m*v**2 + r*v and give m.
-32
Rearrange -28*x - 46*x + x - 19*x to a + j*x and give j.
-92
Rearrange (-q + 0*q + 0*q)*(-10*q - 38*q + 21*q) to the form r*q + g + p*q**2 and give r.
0
Rearrange 2*g**2 + 2 - 3*g**3 - 47*g**4 + 46*g**4 + 6*g**3 to s + z*g**2 + c*g**3 + b*g**4 + o*g and give s.
2
Rearrange -2 - 2*o + 2 + 3*o - 3*o + o + (-1 - 2 + 1)*(5*o - 3*o - 3*o) - 6*o + 0 + 0 + 2*o + 3*o - 6*o to the form l*o + i and give l.
-6
Rearrange (-4*g + g + 4*g)*(2*g - 5 + 5)*(60 - 35 - 35) to f*g + v + y*g**2 and give y.
-20
Express (-3 + 3 - f)*((-9 - 9 + 0)*(-3 + 4 - 3) + (-2 - 3 + 4 + (-2 + 0 + 1)*(3 + 2 - 7))*(5 - 3 - 1)) in the form c*f + b and give c.
-37
Express -s - 2 + s**3 + 6 + 2*s**4 - 2 - s**4 as g + o*s**4 + b*s + a*s**2 + x*s**3 and give o.
1
Rearrange 10*s**2 - s**4 - 11*s**2 + s + 2 - 4 to t*s + h + u*s**2 + g*s**4 + c*s**3 and give g.
-1
Rearrange -r**3 - 2*r**3 - 10 + 14 to the form t*r**2 + a*r**3 + w*r + b and give a.
-3
Express (-1 - 11 + 4)*(4 - 4 - w + (-2 - 1 + 1)*(-2*w + 1 - 1) + (0 - 3 + 1)*(0*w - 3*w - 2*w)) in the form v + t*w and give t.
-104
Rearrange -5*o**2 - 14 + 5*o**2 - 2*o**2 + 3*o**2 to the form c*o**2 + x + b*o and give x.
-14
Rearrange 21*b + 34*b - 20*b to w + d*b and give d.
35
Express (2 + a + a - a)*(0*a**2 + 5*a**2 + a**2) in the form l*a**2 + b*a**3 + u*a + q and give b.
6
Express (-1 - 1 + 1 - 4 + 2 + 3 + (-3 - 2 + 7)*(3 + 1 - 6) + 6 + 2 + 8)*(2*u + 2*u - u) as z*u + k and give z.
36
Express 3 - 3*o**3 + o**3 - 2 + 4*o + 3*o**3 - o**3 - o**3 + (-o**3 + 3*o**3 + 0*o**3)*(2 - 2 - 1) in the form i + f*o**3 + n*o + j*o**2 and give f.
-3
Express (-4*p + 4*p - 2*p)*(-4*p + 35 - 35)*(-1 + 3*p + 1) in the form d + n*p + g*p**2 + i*p**3 and give i.
24
Express ((-2 + 3 - 3)*(-n**3 + 2*n**3 - 2*n**3) + 0*n**3 - 3*n**3 + 2*n**3)*(-26*n + 23*n - 3 + 11*n) in the form z*n**3 + p*n**4 + t*n**2 + d*n + r and give r.
0
Rearrange -14*b**2 + 5*b**2 + 7*b**2 + b + 2*b**4 to s*b**3 + i*b + w*b**4 + c*b**2 + v and give i.
1
Express -2*g**3 + 0*g**2 + 0*g**2 + (-g - 4*g + 3*g)*(g**2 + 2*g - 2*g) - 5 + 5 - g**3 - 8*g**3 + 8*g**3 + 10*g**3 as d + j*g**3 + f*g + q*g**2 and give j.
5
Express (-a**2 + 3*a**2 - a**2)*(1 + 2*a**2 - 1) + 15*a**4 + 27*a**4 + 37*a**4 in the form l*a**4 + p*a + s*a**3 + r + v*a**2 and give l.
81
Express (-4 + 5 + 0 + (1 + 4 - 1)*(0 + 1 - 3) + 3 - 4 - 2)*(-k**3 + 2 - 2) as h + y*k + b*k**3 + d*k**2 and give b.
10
Express 0*p + p + 3 - 8*p + 8*p as j + w*p and give w.
1
Express (5*w**3 - 2*w**3 - 5*w**3)*(7*w - 12*w - 4*w) in the form o*w + m*w**2 + j*w**3 + p + q*w**4 and give q.
18
Rearrange (0*k**2 - 3*k**2 + 8*k**2)*(6*k + k - 3*k)*(0 + 0 - 3*k) to d*k**2 + c + y*k + a*k**4 + g*k**3 and give a.
-60
Express 2*s**2 + 11*s**2 + 2*s**3 - 1998*s + 1996*s + 1 in the form u*s**2 + b + r*s**3 + n*s and give u.
13
Rearrange -5 + 5 - 6*c + (-1 - 4 + 3)*(4*c - 4*c - c) + 3 - c - 3 + (-2 - 2 + 3)*(-3*c + c + 0*c) - 2*c - 2*c + 3*c - 3*c + 7*c - 3*c to k + p*c and give p.
-3
Rearrange (5 + 0 - 4)*(-1 + 1 + 2*t) - 3*t + 2 + 2*t - 1 to the form z + k*t and give z.
1
Express (9*i**2 - 2*i**2 + 0*i**2 + (i - 1 + 1)*(3 + i - 3) - i**2 + 5*i**2 - 3*i**2)*(i + i + 2*i) in the form c*i + p + h*i**2 + s*i**3 and give s.
36
Express (z + 0 + 0)*((1 + 1 - 4)*(0*z - z + 2*z) - 11 + 11 - 6*z + z + z - 3*z) as y*z + v + j*z**2 and give j.
-9
Rearrange (-4*y**3 + 2*y**3 + 3*y**3)*(-4 + 0 + 3) - y**3 + 2*y**3 - 3*y**3 + 20*y**3 + 46*y**3 - 3*y**3 to a*y + d*y**2 + k*y**3 + c and give k.
60
Rearrange 3 - 3 + 158*c - 98*c to the form o*c + h and give o.
60
Rearrange (-5*r + 3*r + r)*(-3*r - 6*r - 2*r) to i + p*r**2 + g*r and give p.
11
Express (1 + 2*o - 1)*(4*o**2 + 2*o**2 - 5*o**2)*(-4*o - 2*o + 3*o) as b*o + z + v*o**2 + y*o**3 + j*o**4 and give j.
-6
Express (-4*h + 3*h + 2*h + (1 - 1 - 2)*(-3 + 3 + h) - 5 + 4*h + 5 - 3 + h + 3)*(2*h**3 + 2*h - 2*h) as i*h + f*h**3 + o*h**2 + t + b*h**4 and give b.
8
Express (3 + z - 3)*(0*z - 6*z + 3*z) + 6 - 6 + 11*z**2 as m*z**2 + f + l*z and give m.
8
Rearrange 121 + 16*t - 121 + t to q*t + g and give q.
17
Rearrange -k**2 + 0*k**2 - 2*k**2 + (-13*k + 13*k + 2 - 8*k**2)*(-3 + 0 + 5) to b*k + g + m*k**2 and give g.
4
Rearrange -k - 5*k**3 - k**4 + 3*k**2 + 309 + 2*k**3 - 308 + 5*k**2 to the form m*k + h*k**3 + v*k**4 + b + i*k**2 and give h.
-3
Express -3 + 5*y - 8*y + 3 in the form c*y + q and give c.
-3
Express (-i - 276 + 130 + 175)*(1 + 0 + 0)*(2 - 2 + 3*i) as z + v*i**2 + h*i and give v.
-3
Rearrange -7 + 0 - 2*s + 2 + 6 + 21*s**2 to y + o*s**2 + c*s and give c.
-2
Express (1865 - 1865 + 64*b)*(6*b**3 - 2*b**3 - 3*b**3) + 3*b**4 - 3*b**4 + 2*b**4 as j*b**2 + o*b**4 + k*b**3 + m + l*b and give k.
0
Express (0*z**2 - 4*z**2 + 3*z**2)*(35*z**2 + 38*z**2 - 18*z**2) as g*z**4 + p + b*z**3 + a*z + q*z**2 and give g.
-55
Rearrange 332 - 3*b**2 + 5*b**2 - 347 to the form z*b**2 + r*b | {
"pile_set_name": "DM Mathematics"
} |
*t. Determine q, given that j(q) = 0.
-10, 2/3, 1, 2
Suppose -x - 13 = -16. Suppose 0*q + 30 = 5*c + q, 0 = x*c + 3*q - 18. Determine t, given that c*t**2 + 6*t - t**4 - 22*t + 8*t + 3 + 0*t = 0.
-3, 1
Find u such that -2896*u - 2*u**4 - 380*u**3 - u**4 - 1258*u**2 - 1440 - u**4 - 574*u**2 = 0.
-90, -2, -1
Let m(w) = w**2 + 2*w. Suppose 0 = -6*p - 84 + 90. Let f(v) = 125*v**2 + 52*v + 4. Let s(a) = p*f(a) - 4*m(a). Determine q so that s(q) = 0.
-2/11
Suppose 16 = 4*j - 4*m, -5*j + 3*m + 2 = -14. Find p such that -4*p**5 - 1361*p**2 - 12*p**3 + 14*p**4 - 2*p**4 + 1365*p**j = 0.
0, 1
Let z(y) be the third derivative of 2*y**7/105 - y**6/3 + 13*y**5/15 + 4*y**4 + 1406*y**2. Solve z(s) = 0 for s.
-1, 0, 3, 8
Let n be ((-230)/69*(-18)/(-112))/((-14)/112). Factor n - 2/7*u**2 - 4*u.
-2*(u - 1)*(u + 15)/7
Let o(s) = -3*s**2 + 2. Let m(i) be the second derivative of -7*i**4/12 + 5*i**2/2 + 15*i. Let x be -1 + 0 - 0 - -6. Let g(r) = x*o(r) - 2*m(r). Factor g(p).
-p**2
Factor 156*i**3 + 51483/5 + 49914/5*i**2 - 20436*i + 3/5*i**4.
3*(i - 1)**2*(i + 131)**2/5
Let z(q) = -q**2 + 4. Let t = 370 + -368. Let n be z(t). Factor n*y**2 + 0*y + 0 - 2/11*y**3.
-2*y**3/11
Let b(r) be the third derivative of -r**7/105 + 17*r**6/360 - r**5/12 + r**4/24 + r**3/18 - 45*r**2 - 7*r. Factor b(h).
-(h - 1)**3*(6*h + 1)/3
Let t(p) be the second derivative of 2*p**6/45 - 23*p**5/15 + 56*p**4/3 - 88*p**3 - 198*p. What is n in t(n) = 0?
0, 6, 11
Let c be 11/((-275)/(-40))*15/2. Suppose -m + 0 = 3*b + 4, -b = -3*m - c. Factor 3/5*s**3 - 3/5*s + 0 + b*s**2.
3*s*(s - 1)*(s + 1)/5
Let s(f) be the third derivative of f**5/120 + 37*f**4/24 - 77*f**3/4 - 991*f**2. Factor s(i).
(i - 3)*(i + 77)/2
Let j(c) be the third derivative of -c**5/240 - 17*c**4/48 - 91*c**3/8 + 4*c**2 + 64*c - 2. Factor j(t).
-(t + 13)*(t + 21)/4
Let b(i) = -10*i**2 + 14*i + 5. Let j be b(7). Let u = j - -390. Let 4 - 1/2*f**4 - 5/2*f**3 + 2*f - u*f**2 = 0. Calculate f.
-2, 1
Let g(a) be the second derivative of 0*a**2 - 2/15*a**6 - 9*a + 2*a**3 + 1/3*a**4 + 0 - 3/5*a**5. Factor g(d).
-4*d*(d - 1)*(d + 1)*(d + 3)
Find f, given that -44/5*f**2 + 42/5*f**3 + 4/5 - 82/5*f = 0.
-1, 1/21, 2
Suppose l - 4*q - 9 = -25, -l + 2*q - 6 = 0. Let t be (-3 + l)*(-9 + 10). Solve t + 1/4*b**3 + 2*b + 5/4*b**2 = 0 for b.
-2, -1
What is n in 4/5*n**5 + 0 + 0*n - 144/5*n**3 - 12/5*n**4 - 128/5*n**2 = 0?
-4, -1, 0, 8
Let l = -18218 + 163970/9. Factor -10/9*i**2 - l*i + 0 - 2/9*i**3.
-2*i*(i + 1)*(i + 4)/9
Suppose -532546*c + 532548*c = 2. Factor -1/3*r**2 + 2/3*r + c.
-(r - 3)*(r + 1)/3
Let k(x) be the third derivative of x**8/112 + 19*x**7/35 + 101*x**6/8 + 657*x**5/5 + 486*x**4 + 864*x**3 - 118*x**2 - 5. Factor k(i).
3*(i + 1)**2*(i + 12)**3
Let w(p) be the second derivative of 3/110*p**5 + 1/231*p**7 + 2/33*p**4 - 92*p - 4/165*p**6 - 1 - 4/33*p**3 + 0*p**2. Let w(n) = 0. Calculate n.
-1, 0, 1, 2
Suppose -8277 = -21*f - 2922. Let p be f/33 + 0 + -7. Determine q so that -p*q**2 + 8/11*q - 2/11*q**3 + 0 + 2/11*q**4 = 0.
-2, 0, 1, 2
Solve -1/2*k**2 - 131/2*k + 270 = 0.
-135, 4
Let 0 + 1/9*l**3 - 29/3*l - 26/9*l**2 = 0. Calculate l.
-3, 0, 29
Let d(i) = 5*i**3 + 94*i**2 + 292*i - 1000. Let c be 4/12 - 13/3. Let w(g) = 20*g**3 + 375*g**2 + 1170*g - 4000. Let f(b) = c*w(b) + 15*d(b). Factor f(u).
-5*(u - 2)*(u + 10)**2
Find a such that 354/5*a**3 + 0 - 1232/5*a**2 + 1568/5*a + 2/5*a**5 - 44/5*a**4 = 0.
0, 4, 7
Let l(v) be the third derivative of -v**7/560 - v**6/48 + v**5/80 + 5*v**4/16 - 209*v**3/6 + 30*v**2 - 4. Let x(g) be the first derivative of l(g). Factor x(b).
-3*(b - 1)*(b + 1)*(b + 5)/2
Let g = -425 - -425. Suppose 4*a = -4*s + a - 1, g = -5*s + a + 13. Factor 12/7 - s*b**2 - 38/7*b.
-2*(b + 3)*(7*b - 2)/7
Let a(b) be the third derivative of b**6/40 - 2139*b**5/20 + 6559*b**2. Factor a(t).
3*t**2*(t - 2139)
Let g(j) = j - 6. Let x be g(7). Let k(n) = -7 - n + 4 - 3*n**2 - n - x. Let r(z) = 4*z**2 + z + 4. Let t(q) = 3*k(q) + 2*r(q). Determine p so that t(p) = 0.
-2
Suppose -2*p - 21 = 2*t - 15, t + 4*p = 0. Let f be t + ((-52)/20 - -7). Factor -f*z**4 - 2/15*z**2 + 0 + 0*z - 2/15*z**5 - 2/5*z**3.
-2*z**2*(z + 1)**3/15
Suppose -11*x = 4*x - 270. Determine m so that -2*m + 2*m**2 - x + 15 - 9 = 0.
-2, 3
Let i = 7487 + -15925/2. Let m = -468 - i. Determine f, given that -m*f**3 - 21/2*f**2 - 9/2*f - 3/2*f**4 + 0 = 0.
-3, -1, 0
Let o(a) be the second derivative of -5*a**7/42 - 34*a**6/3 - 133*a**5/4 - 55*a**4/2 - 3*a - 11. Determine j so that o(j) = 0.
-66, -1, 0
Let c(w) be the second derivative of 7*w**5/40 + 339*w**4/8 + 145*w**3/6 - 682*w - 2. Factor c(j).
j*(j + 145)*(7*j + 2)/2
Let j(n) be the second derivative of n**6/10 + 129*n**5/20 - 49*n**4/4 - 223*n**3/2 - 198*n**2 + 4877*n. Factor j(k).
3*(k - 3)*(k + 1)**2*(k + 44)
Let y(w) be the first derivative of 1/21*w**6 + 71 + 0*w - 1088/21*w**3 + 64/35*w**5 + 289/7*w**2 + 111/7*w**4. Solve y(n) = 0.
-17, 0, 1
Let k = -159 + 162. Let g = -5549 + 5549. Determine s so that -2/11*s**2 + 2/11*s**5 - 6/11*s**4 + g*s + 0 + 6/11*s**k = 0.
0, 1
Factor 451*k + 12284*k**2 - 9394*k**2 - 123*k + 953*k + 975*k**3 + 5*k**4 + 639*k.
5*k*(k + 1)*(k + 2)*(k + 192)
Suppose 3*w = -68 + 26. Let m be ((-24)/28*w/(-10))/(-3). Let -8/5 - 6/5*r + m*r**2 = 0. Calculate r.
-1, 4
Factor -24/7 - 8/7*i + 2/7*i**2.
2*(i - 6)*(i + 2)/7
Let w(s) be the second derivative of -23*s + 4 + 9/80*s**5 + 1/40*s**6 - 3/4*s**2 - 3/8*s**3 + 1/16*s**4. Factor w(u).
3*(u - 1)*(u + 1)**2*(u + 2)/4
Factor 0*j + 45*j**2 + 0 + 3/2*j**3.
3*j**2*(j + 30)/2
Let y be -1 + -17 + (-19397)/(-1071). Let m(s) be the first derivative of 1/3*s**2 - 11 + y*s**3 - s. Determine l, given that m(l) = 0.
-3, 1
Let m(f) be the first derivative of -2*f**3/3 + 149*f**2 - 1716*f - 1708. Find j such that m(j) = 0.
6, 143
Let o = 354 + -351. Let j be -1*o - (-138)/23. Solve g**j + 1 - 1/4*g**4 - 3/4*g**2 - g = 0.
-1, 1, 2
Let d(p) = -9*p**2 - 329*p - 487. Let i(j) = -2*j**2 + j + 37. Let r(q) = 4*d(q) - 20*i(q). Factor r(m).
4*(m - 336)*(m + 2)
Let k = 1055 + -1736. Let x = k + 683. What is z in 4/9*z**4 + 0 + 0*z - 4/3*z**3 + 0*z**x = 0?
0, 3
Let z(b) = -4*b**3 - 7*b**2 - 7*b - 3. Let m(j) = -29*j**2 - 4*j**3 + 3 - 29*j - 14*j**3 - 16 + j**3. Let f(u) = 6*m(u) - 26*z(u). Factor f(o).
2*o*(o + 2)**2
Let s(t) be the first derivative of 2*t**3/9 + 15*t**2 - 456*t - 10596. Solve s(l) = 0.
-57, 12
Let y be 2/544*878 + 106 + -109. Let j = 6/17 - y. Find n, given that j*n**3 + 0 + 0*n + 3/8*n**2 = 0.
-3, 0
Let c(l) be the first derivative of -36*l**2 - 22 - l**3 + 9/2*l**4 - 3/5*l**5 - 48*l. Factor c(k).
-3*(k - 4)**2*(k + 1)**2
Let x = 18395/798 + -220/399. Find y such that 0 - 30*y + x*y**3 - 3/2*y**5 - 3*y**4 - 6*y**2 = 0.
-5, -1, 0, 2
Let h be (-43 - -13)*(-6)/4. Let g = h - 35. Let -20 + 8*q + 6*q**2 - q**2 - 3*q + g*q = 0. Calculate q.
-4, 1
Let i(f) = -f**3 + 19*f**2 + 5*f + 35. Let v be i(19). Factor -18*d**4 + 132 - 3*d**3 + 18*d**2 - 262 + v + 3*d**5.
3*d**2*(d - 6)*(d - 1)*(d + 1)
Let a be (-9)/((-99)/(-2))*(-66)/24*4. Factor 2/5 - 2/15*q**a - 4/15*q.
-2*(q - 1)*(q + 3)/15
Let d(v) be the third derivative of -v**5/12 + 5*v**4/24 + 75*v**3 + 961*v**2. Factor d(x).
-5*(x - 10)*(x + 9)
Let l(m) be the second derivative of -1/150*m**6 + 0*m**2 - 4/15*m**4 - 2/5*m**3 - 7/100*m**5 - 2*m - 4. Factor l(d).
-d*(d + 2)**2*(d + 3)/5
Let b be (-1232)/(-10)*(-5200)/(-17160). Factor 146/3*z**2 + 32/3 + 86/3*z**3 + b*z + 2/3*z**5 + 22/3*z**4.
2*(z + 1)**3*(z + 4)**2/3
Let u be (-2 - (-10)/6)*-9*1. Suppose u*j - 4 = 2. Determine y, given that -4*y**2 - 243*y**3 + j*y**5 + 8*y**4 + 2*y + 12*y**2 + 255*y**3 = 0.
-1, 0
Let p = -41639/21 - -416453/210. Factor -p*q - 1/10*q**4 + 0 + 1/10*q**2 + 3/10*q**3.
-q*(q - 3)*(q - 1)*(q + 1)/10
Let o be 17 - 17 - (73 + 3). Let b be 57/o + 46/8 - 3. Solve -272/7*p**b - 32/7 - 208/7*p**3 - 10/7*p**5 - 160/7*p - 74/7*p**4 = 0 for p.
-2, -1, -2/5
Let f be 4*(3/(-24)*18 + 4). Factor -8*p**3 - 24 + 90*p**2 - 88*p**2 - p**3 + 16*p + f*p**3.
-2*(p - 2)**2*(p + 3)
Factor -176*q - 2*q**2 + 139 - 51 + 90.
-2*(q - 1)*(q + 89)
Let n(j) be the second derivative of j**4/102 - 251*j**3/51 + 498*j**2/17 - 2138*j. Factor n(r).
2*(r - 249)*(r - 2)/17
Let l be (54/(-21))/1*28/(-3). Let h be (54/(-72))/((-10)/l). Factor 6/5*q + 1/5*q** | {
"pile_set_name": "DM Mathematics"
} |
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- | {
"pile_set_name": "DM Mathematics"
} |
f**3 - 6*f + 18*f - 5*f - 7*f + (5*f - f - 2*f)*(0 + f**2 + 0) to the form g*f**3 + z*f + r + p*f**2 and give g.
-346
Express -5 + 1 + 116*p**3 - 182*p**3 + 112*p**3 + 3 + 2*p**2 as u*p**2 + j*p + x*p**3 + h and give j.
0
Rearrange (54*q - 21*q - 8*q + (-3 + 1 + 1)*(q - 2*q + 0*q))*(5 - 3 - 1) to a + p*q and give p.
26
Rearrange (2 - 6 + 3 + 4*x - 3*x + 25 - 25 + (2*x - x + 0*x)*(-1 + 2 + 0) + 3*x - 3*x - x - 9*x - x - 3*x)*(0 - 1 - 1) to the form b + i*x and give i.
24
Express 0*m + 25*m - 15*m + 20*m in the form q + j*m and give j.
30
Express (-5 + 5 - 1)*(-6*u + 16*u + 4*u)*(-7 - 4 + 0) in the form a + p*u and give p.
154
Express (-c**3 + c**3 - 5*c**3)*(203 - 644 + 100) in the form u*c**3 + q*c + x*c**2 + v and give q.
0
Express 60*x**2 - 124*x**2 + 19*x + 53*x**2 in the form o + f*x**2 + w*x and give f.
-11
Express -107*x**3 - 64*x**2 - 72*x**2 + 135*x**2 in the form o*x**3 + v*x**2 + k + j*x and give k.
0
Rearrange -g + 8*g**3 + 3*g - 73*g**2 + 75*g**2 - 3*g to the form o + i*g**2 + h*g**3 + z*g and give i.
2
Express 3*w**3 - 3 - 3*w - 15*w + 20*w in the form a*w**2 + s*w**3 + r + c*w and give r.
-3
Rearrange 13330*u - u**2 - 13419*u + 2*u**2 to c*u**2 + g*u + x and give g.
-89
Rearrange -2*h + h**2 - 19*h**2 - 6*h - 68*h**2 + 6*h to a*h**2 + i*h + t and give t.
0
Rearrange (-48*u + 15*u**3 + 48*u)*((4 - 1 + 0)*(-4 + 3 - 1) + 0 - 2 + 0) to f*u**2 + d + c*u**3 + t*u and give c.
-120
Rearrange (153 - 2*p - 172 + 120)*(-32 + 17 - 12) to the form v + m*p and give v.
-2727
Express 4 - 8*k**4 - 2*k**2 - 3*k + 5*k + 8 - 14 as y*k**3 + g + i*k + u*k**2 + l*k**4 and give u.
-2
Express -6*v - 3*v - 50*v**2 + 10*v + 0*v in the form l + h*v + s*v**2 and give h.
1
Express 5*a**2 - 4*a**2 + 2*a**2 + (3 + 3 - 2)*(2 - 3*a - 2)*(6*a - 13*a + 34*a) in the form f*a**2 + y + d*a and give f.
-321
Express 3*u**2 + 0*u**2 - u**2 + (3*u - 4*u + 28*u)*(u + 0*u + u) as q*u + i*u**2 + z and give i.
56
Rearrange (0 + 5 + 1)*(d - d + d**4) + 185*d**4 - 11 - 98*d**4 - 88*d**4 + 3*d**3 to the form u*d**3 + l*d**2 + y*d + p*d**4 + s and give s.
-11
Rearrange (4 - 2 + 0)*(1 + 6 - 3)*(-16*z**4 + 18*z**4 - 9*z**4) to q*z**3 + k*z + a*z**2 + c + m*z**4 and give m.
-56
Rearrange (3 + 0 - 4)*(-1994*n**2 + 1994*n**2 + 67*n**3)*(-5*n - 1 + 1) to a*n + t*n**2 + i + z*n**4 + j*n**3 and give z.
335
Express ((2 - 2 + h)*(-1 - 1 + 0) + 3*h - 5*h + h + 2 - 4*h - 2)*((-2*h + 6*h - 2*h)*(4 + 2 + 3) + h + 2*h + 2*h) as w*h + k*h**2 + n and give k.
-161
Rearrange 106*f - 3*f + 134*f + f**2 - 6*f + f**2 to w*f + i + l*f**2 and give l.
2
Express -13*k**2 - 3*k**2 + 3*k**2 + 2*k**3 + 12*k**2 + 5 - 6*k as t + b*k**2 + r*k + j*k**3 and give j.
2
Express (4*a**2 + a**2 - 2*a**2)*(-3*a**2 - 12*a**2 - 2*a**2) + 6*a**4 - 7*a**2 + 7*a**2 + a**4 - a + a as m + r*a**2 + n*a**3 + i*a + z*a**4 and give z.
-44
Rearrange (-20 + 20 - 9*i)*(-4 - 3*i + 4) + 5*i**2 + i**2 - 3*i**2 to the form a + u*i**2 + y*i and give u.
30
Rearrange 20 + 3*q**4 - 7*q**3 - 36 + 0*q**4 + 14 to b*q**4 + h*q**2 + x*q**3 + f + v*q and give x.
-7
Express -1 - 23*t**2 + 53 - 59 in the form c*t + f*t**2 + i and give i.
-7
Express 76*c - 23*c - 2*c**4 - 12*c - c**3 + 3*c**2 - 13*c - 22*c as l*c**4 + z*c**3 + m*c**2 + f*c + q and give f.
6
Express (4744*z - 6538*z + 5883*z)*(3 + 2 - 3) as p + t*z and give t.
8178
Rearrange 181*u**3 - 7 + 9 + 55*u**3 + 0 to the form i*u + l + b*u**2 + a*u**3 and give a.
236
Express 3 - 3*j - 3 + (-2 + 2 + 3)*(0*j - j + 2*j) + (-2*j - 2*j + j)*(-9 + 3 - 1) in the form s + u*j and give s.
0
Express m + 12*m**2 + 10*m**3 - 7*m**3 + 1 - 4*m**2 - 9*m**2 as r + h*m + g*m**3 + x*m**2 and give h.
1
Express -2*a**4 + 49 - 24*a - 16*a + 39*a - 3*a**3 in the form u*a**3 + v*a**4 + s*a**2 + n*a + k and give n.
-1
Express -33*n + 356*n**2 + 357*n**2 - 712*n**2 - 225*n as i*n**2 + a + f*n and give i.
1
Express 8 - 30 - 21 - 3*v + 2 + v as o*v + z and give z.
-41
Express 14*q - 3 + 0 + 4 + 3 in the form l*q + o and give o.
4
Express -y**2 + 24*y + 645*y - 132*y + 2*y**2 in the form l*y + d*y**2 + q and give q.
0
Express 1 + 156*u**3 - u**4 - 2*u**2 + 4*u**2 - u**2 - 2 + u**2 as t + s*u**4 + d*u**3 + q*u + v*u**2 and give v.
2
Express (0 + 3 - 6)*(-2 + 2 - h) + 15607*h - 1 - 1 - 15631*h in the form r*h + u and give u.
-2
Express 487*h**2 - 13*h**3 - 487*h**2 + 795*h**3 - 1 + 1 - 2*h**3 + (1 + 1 - 3)*(h - h + h**3) in the form a*h**3 + i*h**2 + b + r*h and give a.
779
Express -14*f + 3*f + 2*f**4 - f**2 + 10*f + 4*f as t*f**3 + r + i*f**4 + c*f + h*f**2 and give h.
-1
Rearrange 4 - 5 - 191*a - 1 - 260*a to the form u + k*a and give k.
-451
Express 30*g - 126*g - 64 + 38*g + 29*g + 33*g in the form n + y*g and give y.
4
Express 13 - 5*a**2 + 5*a**2 + a - a**2 + 15*a - 15*a + 10*a**2 + (0*a + 2*a - a)*(2 - 2 + a) + 2*a**2 - a**2 + 0*a**2 in the form u*a + c + d*a**2 and give d.
11
Rearrange -500 + 500 - 192*q to t + o*q and give o.
-192
Rearrange -419*m + 88*m - 773*m to b + u*m and give u.
-1104
Express 0*l**2 - 3*l**2 - 21*l**3 + 2*l + 18*l**3 - 1 + 7*l**2 in the form d*l + c*l**2 + p + f*l**3 and give p.
-1
Rearrange 95 - 17*d - 20*d - 16*d - 23*d + 75*d to the form n + w*d and give n.
95
Express 33*j - 51 + 18*j + 2*j**2 - 47*j in the form u*j**2 + w*j + t and give u.
2
Rearrange 10*a - 1265*a**3 - 2 + 1266*a**3 - 3*a**4 + 5*a**4 to the form i*a + j*a**4 + y + z*a**2 + k*a**3 and give k.
1
Express -6*v + 3*v - 2*v + 3*v + 4*v**3 - 9 as h*v + x*v**3 + j*v**2 + k and give k.
-9
Express -2*o**2 - 3 + 8 - 8 - 2*o - 7*o**2 as u*o**2 + n + m*o and give n.
-3
Express (-6 + 4 + 3)*(1 - 176*v + 5 + 172*v - 2*v + 3*v + v + (4 - 3 + 1)*(-4 + 2*v + 4)) in the form p + i*v and give p.
6
Rearrange (245 - 1601 - 1639)*(1 + 4 - 3)*(0 - 2*a + 0) to m*a + w and give m.
11980
Rearrange 3*q + 20 - 20 - 2*q + 27*q**2 to m + v*q + o*q**2 and give o.
27
Express -5 + 65*z - 8 + 7 + 60*z + 2 in the form h*z + r and give r.
-4
Express -9*i**2 + 20 - 5*i - 2*i**4 + 3*i**3 + 19 - 39 as c + b*i**2 + g*i**4 + z*i**3 + t*i and give b.
-9
Express -3*v**4 - 302 + 9*v**2 + 155 + v**4 + 151 + 2*v**3 as l*v**2 + r + z*v**4 + p*v**3 + m*v and give l.
9
Rearrange (-5*g - 10*g - 9*g)*(-5 - 10*g + 5) to the form m*g + k + p*g**2 and give p.
240
Rearrange (14 - 14 + 3*h)*(-13*h**2 - 41*h**3 - 13*h**2 + 24*h**2) to the form i*h**4 + n*h**3 + j*h**2 + q + t*h and give i.
-123
Rearrange 0*u**4 + u**2 - 47*u - 2*u**4 - 2 + 9*u**3 + 48*u - 2*u**2 to f*u**3 + q*u + g*u**2 + x + c*u**4 and give f.
9
Rearrange -w**3 - w + 2*w**2 + 259 - 257 + 2*w + 0*w**2 to the form k*w**3 + d*w**2 + g*w + v and give d.
2
Express (15*j - 1006 + 1006)*(-j**2 + 0 + 0*j**2 - 1) in the form d*j + h*j**2 + l*j**3 + p and give d.
-15
Express -459*t**2 + t + 548*t**2 - 4*t + t in the form k*t + z*t**2 + s and give z.
89
Rearrange -126*a + 98 + 124*a + 104 + 47 to s*a + u and give s.
-2
Rearrange 3*i - 2229 + 3*i**4 + 2*i - 6*i + 2194 to the form y*i**3 + r + u*i + b*i**4 + g*i**2 and give r.
-35
Rearrange -72*b + 236*b + 57*b to y + h*b and give h.
221
Express -17*n**3 + 3*n**3 - 42*n + 12*n**3 + 0*n**3 in the form d + p*n**3 + k*n + b*n**2 and give p.
-2
Rearrange -1 - 1295*z**2 - 2*z**4 - z - 124*z**3 + 1295*z**2 to the form q*z + o*z**3 + l*z**2 + p*z**4 + k and give p.
-2
Express -2*i**2 + 382*i + 638*i + 2 - i**3 - i**3 - 823*i as o*i**3 + c*i + t + f*i**2 and give t.
2
Express -3*h**4 - 26*h**2 + 8*h**3 + 2*h**4 + 27*h**2 in the form f*h**2 + s*h**4 + g*h**3 + p*h + n and give s.
-1
Express -22*i - 76*i - i in the form c*i + o and give c.
-99
Rearrange (3*g - 5*g + 0*g)*(11*g + 14*g + 23*g) to d + p*g**2 + u*g and give d.
0
Express 4 + o - 4 + (0 + 0 - o)*(-3 - 2 + 4) + 4*o + 4*o - 7*o + (1 + 2 - 5)*(17*o + 17*o - 12*o) + 0 + 2*o + 0 as i*o + k and give i.
-39
Rearrange 2*m**2 + 31*m**3 + 547 - 31*m**3 - m + m + 2*m**3 to the form z*m**2 + s*m + g + u*m**3 and give s.
0
Express -28*j + 26*j - 5*j + (2 - 1 - 2)*(j - 4*j + 4*j) as z + d*j and give d.
-8
Express 2 + 73*j - 2 + (-1 + 1 - 2*j)*(2 - 1 + 1) + (-3*j + 4*j - 2*j)*(1 + 4 - 3) in the form o*j + p and give o.
67
Express -39*o**4 + 22*o**3 - 37*o**4 + 78*o**4 + o**2 - 6 as n*o**3 + g + m*o + v*o**4 + s*o**2 and give g.
-6
Express ((-2*f + 3*f + 0*f)*(2 + 0 - 3) - f + 0 + 0)*(-5*f**3 - 4*f**3 - 4*f**3) in the form t + j* | {
"pile_set_name": "DM Mathematics"
} |
seconds.
16674178752000000000
What is 1/10 of a gram in micrograms?
100000
What is one twentieth of a kilogram in grams?
50
Convert 21.270531 milliseconds to minutes.
0.00035450885
What is 3/28 of a week in minutes?
1080
How many hours are there in 51/4 of a day?
306
How many millilitres are there in fourty-five quarters of a litre?
11250
What is eleven quarters of a meter in centimeters?
275
Convert 9.20135 nanograms to tonnes.
0.00000000000000920135
How many millimeters are there in three fifths of a centimeter?
6
How many minutes are there in 4/3 of a week?
13440
How many milligrams are there in one quarter of a gram?
250
What is 3/25 of a meter in centimeters?
12
What is 2/15 of a minute in milliseconds?
8000
Convert 429.6013 millilitres to litres.
0.4296013
How many centimeters are there in 59674.34 kilometers?
5967434000
What is 3154.99 micrograms in kilograms?
0.00000315499
Convert 23.825142 months to centuries.
0.019854285
What is 51/2 of a year in months?
306
Convert 0.920335 weeks to minutes.
9276.9768
What is one twentieth of a meter in millimeters?
50
How many millilitres are there in 426775.9 litres?
426775900
What is three fifths of a millisecond in microseconds?
600
How many millilitres are there in 24.18786 litres?
24187.86
Convert 5.304841 millilitres to litres.
0.005304841
What is 3/5 of a minute in milliseconds?
36000
What is eleven halves of a kilometer in meters?
5500
How many milliseconds are there in 4.755254 microseconds?
0.004755254
What is 24569.58 nanograms in kilograms?
0.00000002456958
Convert 602.1021 nanograms to milligrams.
0.0006021021
How many centimeters are there in 1/5 of a meter?
20
Convert 0.2388585l to millilitres.
238.8585
What is 31/5 of a microgram in nanograms?
6200
How many nanometers are there in eleven halves of a micrometer?
5500
How many grams are there in 3/8 of a kilogram?
375
What is seventeen tenths of a millennium in months?
20400
How many hours are there in 71.862588ns?
0.00000000001996183
How many months are there in 52/3 of a decade?
2080
How many months are there in eleven quarters of a century?
3300
How many millilitres are there in 356.3914 litres?
356391.4
What is 87/4 of a microgram in nanograms?
21750
Convert 29625.39 decades to millennia.
296.2539
How many months are there in 29/2 of a decade?
1740
What is 21/8 of a hour in seconds?
9450
How many years are there in 6/25 of a millennium?
240
How many centuries are there in three tenths of a millennium?
3
What is fifty-three quarters of a litre in millilitres?
13250
What is 518985.9g in micrograms?
518985900000
What is thirty-one halves of a kilogram in grams?
15500
What is 11/4 of a kilometer in meters?
2750
What is 2/125 of a millennium in years?
16
What is 52/5 of a litre in millilitres?
10400
How many millilitres are there in five quarters of a litre?
1250
Convert 0.320862ms to seconds.
0.000320862
Convert 35.79998l to millilitres.
35799.98
What is 12397.7532 hours in weeks?
73.79615
Convert 4.19763cm to millimeters.
41.9763
Convert 6.074783 tonnes to micrograms.
6074783000000
What is 2/125 of a millimeter in micrometers?
16
What is one tenth of a litre in millilitres?
100
What is 17/2 of a litre in millilitres?
8500
How many years are there in three eighths of a millennium?
375
What is 982.5102km in millimeters?
982510200
What is thirty-one fifths of a week in minutes?
62496
How many micrometers are there in 1/10 of a centimeter?
1000
How many micrograms are there in 11.90738mg?
11907.38
Convert 577464.1 micrometers to centimeters.
57.74641
How many millilitres are there in one quarter of a litre?
250
What is 19.07745 years in decades?
1.907745
Convert 50.87209 nanograms to kilograms.
0.00000000005087209
How many months are there in thirty-seven fifths of a century?
8880
How many nanometers are there in thirty-one halves of a micrometer?
15500
Convert 4226.13ns to milliseconds.
0.00422613
What is 90011.5 kilograms in milligrams?
90011500000
What is 7.9517151 minutes in days?
0.005522024375
How many millimeters are there in 11/10 of a centimeter?
11
What is 17/4 of a litre in millilitres?
4250
How many centuries are there in twenty-nine fifths of a millennium?
58
What is 431.9192 grams in nanograms?
431919200000
How many micrometers are there in 1/5 of a millimeter?
200
How many centimeters are there in 3.64393mm?
0.364393
Convert 42.635 millennia to years.
42635
Convert 762725.5kg to grams.
762725500
How many centuries are there in 75.74263 millennia?
757.4263
How many millimeters are there in 21/4 of a meter?
5250
Convert 99.37675 millennia to centuries.
993.7675
How many litres are there in 7.486961ml?
0.007486961
How many days are there in 1455802.74 nanoseconds?
0.00000001684956875
How many kilometers are there in 794.8584mm?
0.0007948584
What is nineteen quarters of a tonne in kilograms?
4750
How many nanograms are there in 1963.685 micrograms?
1963685
What is 3/5 of a minute in milliseconds?
36000
How many months are there in 1/60 of a century?
20
What is 3/10 of a week in minutes?
3024
What is 817109.6 nanograms in grams?
0.0008171096
How many years are there in 7/8 of a millennium?
875
Convert 586341.9mg to tonnes.
0.0005863419
Convert 159297837.3ms to weeks.
0.26338928125
How many weeks are there in 92.0388 hours?
0.54785
What is twenty-one halves of a kilogram in grams?
10500
How many micrograms are there in 30.10102 milligrams?
30101.02
How many micrometers are there in 6/25 of a millimeter?
240
What is one twentieth of a litre in millilitres?
50
What is 11/14 of a week in hours?
132
What is fourty-four fifths of a litre in millilitres?
8800
What is three fifths of a millisecond in microseconds?
600
What is thirteen fifths of a litre in millilitres?
2600
What is thirty-three fifths of a litre in millilitres?
6600
What is one tenth of a century in decades?
1
How many millilitres are there in 76/5 of a litre?
15200
What is 1/100 of a gram in micrograms?
10000
What is 715.218 centuries in years?
71521.8
How many meters are there in 3/50 of a kilometer?
60
What is 45.15703km in micrometers?
45157030000
How many minutes are there in 3/5 of a week?
6048
How many millilitres are there in 37/5 of a litre?
7400
What is 93.98247mm in micrometers?
93982.47
What is 0.9441726 decades in centuries?
0.09441726
How many litres are there in 981.8807ml?
0.9818807
What is thirteen sevenths of a week in hours?
312
What is 0.275708cm in millimeters?
2.75708
How many milligrams are there in 104896.9 grams?
104896900
How many meters are there in 33/5 of a kilometer?
6600
How many kilograms are there in 2252.29mg?
0.00225229
Convert 48090.52 centimeters to meters.
480.9052
How many micrometers are there in 7410.221mm?
7410221
Convert 47102.32 millilitres to litres.
47.10232
How many minutes are there in five quarters of a week?
12600
How many nanograms are there in 3/40 of a microgram?
75
How many nanograms are there in 3/8 of a microgram?
375
How many minutes are there in 1/15 of a day?
96
What is 7182.197 millennia in centuries?
71821.97
How many millilitres are there in five eighths of a litre?
625
What is nine tenths of a meter in millimeters?
900
What is 17/2 of a week in hours?
1428
How many millilitres are there in 4.580872 litres?
4580.872
What is 3/5 of a litre in millilitres?
600
What is twenty-one halves of a millennium in decades?
1050
What is 2865.318 years in centuries?
28.65318
What is 5/24 of a week in hours?
35
What is 3/50 of a millennium in months?
720
What is 815300.9 millennia in centuries?
8153009
What is 14008.25 weeks in seconds?
8472189600
What is 0.301278ns in microseconds?
0.000301278
What is thirty-three fifths of a minute in seconds?
396
How many years are there in 217.65378 months?
18.137815
What is one sixteenth of a gram in micrograms?
62500
Convert 2899.355 centuries to decades.
28993.55
Convert 9099.243m to micrometers.
9099243000
How many milligrams are there in fourty-five eighths of a gram?
5625
How many minutes are there in 1/18 of a day?
80
How many seconds are there in 6.370462 weeks?
3852855.4176
What is 135117.54 months in years?
11259.795
What is 3/40 of a milligram in nanograms?
75000
What is six fifths of a century in months?
1440
What is seven quarters of a millennium in decades?
175
How ma | {
"pile_set_name": "DM Mathematics"
} |
t replacement from iwhhhwvwhwhewgwwv.
1/340
Calculate prob of picking 2 u when two letters picked without replacement from {u: 3, r: 1, j: 3, x: 6}.
1/26
What is prob of picking 1 f and 1 m when two letters picked without replacement from xxfxwxxmx?
1/36
What is prob of picking 2 d and 1 l when three letters picked without replacement from {d: 2, l: 4}?
1/5
Calculate prob of picking 1 p and 1 i when two letters picked without replacement from iytzptzy.
1/28
Two letters picked without replacement from mucccncccmcmanm. Give prob of picking 2 n.
1/105
Three letters picked without replacement from hhhhhhhsedhlhhh. Give prob of picking 1 h, 1 s, and 1 l.
11/455
Calculate prob of picking 1 r and 1 y when two letters picked without replacement from fbyjjir.
1/21
Four letters picked without replacement from {p: 4, r: 10, g: 1, c: 3}. What is prob of picking 1 c and 3 p?
1/255
Four letters picked without replacement from hhhththqhtbhhhbbhht. What is prob of picking 3 b and 1 q?
1/3876
Two letters picked without replacement from {s: 4, b: 1, w: 1, l: 5}. What is prob of picking 1 l and 1 b?
1/11
Four letters picked without replacement from maamaa. What is prob of picking 4 a?
1/15
Two letters picked without replacement from {r: 1, g: 7}. What is prob of picking 1 r and 1 g?
1/4
Calculate prob of picking 2 a when two letters picked without replacement from {a: 3, r: 12}.
1/35
Calculate prob of picking 4 a when four letters picked without replacement from aooyoooyyoyoyyoyoooo.
0
Two letters picked without replacement from {q: 1, i: 4, w: 2, g: 3, j: 1, e: 1}. What is prob of picking 1 w and 1 j?
1/33
Two letters picked without replacement from {i: 4, t: 4, f: 1, j: 3, s: 2}. Give prob of picking 1 i and 1 f.
4/91
Calculate prob of picking 1 h and 2 a when three letters picked without replacement from {z: 1, p: 1, a: 2, x: 2, o: 2, h: 1}.
1/84
What is prob of picking 2 r when two letters picked without replacement from {r: 4, e: 14}?
2/51
Two letters picked without replacement from {z: 3, n: 4, a: 6, g: 1}. Give prob of picking 1 g and 1 n.
4/91
Calculate prob of picking 1 x, 1 z, and 1 w when three letters picked without replacement from zwmwwwxzzwwzzwzw.
3/35
Two letters picked without replacement from {a: 4, w: 2, u: 1}. What is prob of picking 1 u and 1 w?
2/21
Calculate prob of picking 1 j and 1 d when two letters picked without replacement from {d: 3, j: 3, z: 7, h: 1}.
9/91
Two letters picked without replacement from {o: 7, j: 1, h: 2, s: 1, t: 4, f: 3}. Give prob of picking 1 o and 1 s.
7/153
Calculate prob of picking 2 m, 1 u, and 1 w when four letters picked without replacement from {m: 2, w: 2, u: 1, i: 9}.
2/1001
What is prob of picking 2 e when two letters picked without replacement from eeseeeseeeseeeesee?
91/153
Two letters picked without replacement from eeezzzezzzzez. What is prob of picking 2 z?
14/39
Calculate prob of picking 1 i and 1 j when two letters picked without replacement from {j: 5, i: 2, g: 9, p: 2}.
10/153
Two letters picked without replacement from caucnocncc. What is prob of picking 1 c and 1 o?
1/9
Calculate prob of picking 2 h when two letters picked without replacement from {f: 3, w: 4, h: 4, k: 4, o: 2, m: 3}.
3/95
Three letters picked without replacement from prproorprooprprr. Give prob of picking 1 o and 2 r.
3/20
Calculate prob of picking 3 u when three letters picked without replacement from {u: 7, i: 4, n: 2}.
35/286
Two letters picked without replacement from {n: 1, d: 5, f: 8, i: 2, z: 1}. What is prob of picking 1 n and 1 i?
1/68
Two letters picked without replacement from {j: 4, m: 3}. Give prob of picking 2 j.
2/7
Three letters picked without replacement from {d: 2, n: 2, x: 1}. What is prob of picking 1 x and 2 d?
1/10
Calculate prob of picking 1 m, 1 f, and 1 v when three letters picked without replacement from ffmfmmmvmmmfmfmmmm.
5/68
What is prob of picking 2 x and 2 a when four letters picked without replacement from {x: 7, a: 2}?
1/6
What is prob of picking 2 n when two letters picked without replacement from {m: 2, n: 2, j: 5, w: 3}?
1/66
Calculate prob of picking 1 w and 1 s when two letters picked without replacement from {w: 2, s: 4}.
8/15
Two letters picked without replacement from {w: 2, a: 1, r: 1}. What is prob of picking 2 a?
0
What is prob of picking 2 t and 1 z when three letters picked without replacement from kkzzzdztlktzklkzkzk?
7/969
Calculate prob of picking 1 w and 1 g when two letters picked without replacement from ggggggggghggggggwg.
16/153
Two letters picked without replacement from {y: 4, g: 1, x: 2, l: 3}. Give prob of picking 1 l and 1 y.
4/15
Calculate prob of picking 2 k when two letters picked without replacement from oyoygrykgorkrkyggyy.
1/57
Calculate prob of picking 3 f and 1 y when four letters picked without replacement from qffffyyyyffffqfq.
12/65
Two letters picked without replacement from hkanhannnnnaoh. What is prob of picking 1 k and 1 a?
3/91
Four letters picked without replacement from qaxxqxixqq. Give prob of picking 1 a and 3 x.
2/105
Calculate prob of picking 1 o, 1 l, and 1 f when three letters picked without replacement from {p: 4, f: 2, o: 2, g: 8, l: 3}.
4/323
What is prob of picking 2 r when two letters picked without replacement from {p: 1, n: 6, r: 11}?
55/153
Four letters picked without replacement from jjjjjjjjjjjajjaajj. What is prob of picking 1 j and 3 a?
1/204
What is prob of picking 3 w when three letters picked without replacement from {w: 5, k: 5}?
1/12
Calculate prob of picking 1 f, 1 z, 1 g, and 1 o when four letters picked without replacement from ozgggoovggofog.
30/1001
Calculate prob of picking 1 a and 1 m when two letters picked without replacement from {k: 1, t: 1, j: 1, a: 1, e: 2, m: 1}.
1/21
Two letters picked without replacement from {u: 7, j: 7}. Give prob of picking 2 u.
3/13
What is prob of picking 2 u when two letters picked without replacement from {v: 3, e: 5, s: 4, m: 4, u: 3}?
1/57
Two letters picked without replacement from {s: 2, j: 7, w: 3, q: 5}. Give prob of picking 2 s.
1/136
What is prob of picking 1 j and 1 n when two letters picked without replacement from {j: 1, n: 2, a: 14}?
1/68
Two letters picked without replacement from {t: 2, q: 1, l: 1, y: 1}. Give prob of picking 1 l and 1 q.
1/10
Three letters picked without replacement from dbdbwuxwi. Give prob of picking 1 u and 2 w.
1/84
Two letters picked without replacement from {o: 2, e: 4, m: 2, f: 5, s: 1}. Give prob of picking 1 f and 1 m.
10/91
What is prob of picking 1 h, 1 n, and 1 i when three letters picked without replacement from {n: 1, i: 4, h: 1, w: 6, j: 4}?
1/140
Calculate prob of picking 1 w, 1 f, and 1 u when three letters picked without replacement from {w: 1, f: 3, u: 1}.
3/10
Three letters picked without replacement from {k: 2, c: 2, e: 5, s: 9, t: 2}. What is prob of picking 3 e?
1/114
Four letters picked without replacement from {c: 2, o: 10, y: 4}. Give prob of picking 4 y.
1/1820
What is prob of picking 1 a and 1 z when two letters picked without replacement from nnazuu?
1/15
Three letters picked without replacement from mhnnmz. What is prob of picking 2 n and 1 m?
1/10
Calculate prob of picking 1 y and 3 p when four letters picked without replacement from {y: 1, l: 1, w: 5, j: 3, p: 4}.
4/1001
Three letters picked without replacement from {w: 3, j: 9}. What is prob of picking 1 w and 2 j?
27/55
Calculate prob of picking 2 n when two letters picked without replacement from novvnvnnvo.
2/15
What is prob of picking 2 p, 1 m, and 1 i when four letters picked without replacement from wwiiiwwwwipimwwwwiip?
7/4845
What is prob of picking 1 f, 1 q, and 1 p when three letters picked without replacement from {q: 1, v: 1, p: 1, f: 1, z: 2, t: 1}?
1/35
What is prob of picking 1 h and 1 b when two letters picked without replacement from hbbbbhbbbbhbbbbbhb?
56/153
Two letters picked without replacement from lcshs. Give prob of picking 1 c and 1 l.
1/10
Calculate prob of picking 1 p and 1 b when two letters picked without replacement from {p: 2, b: 2}.
2/3
What is prob of picking 1 j and 1 e when two letters picked without replacement from {e: 14, j: 5}?
70/171
What is prob of picking 1 t and 3 l when four letters picked without replacement from tlltltyt?
2/ | {
"pile_set_name": "DM Mathematics"
} |
increasing order.
p, 1/2, 6
Let l be 14/(-18) - (-6 + 5). Let u = -25.3 - -26.3. Put l, 0.3, u in increasing order.
l, 0.3, u
Let h = -2/189 - 179/945. Put 2/5, h, 3 in descending order.
3, 2/5, h
Let k = -3/22 - -65/154. Let p be (-240)/25 + (-2)/5. Let g be (-5)/(-4)*(-4)/p. Sort k, 0.6, g in decreasing order.
0.6, g, k
Let s = 71 + -71.3. Put 0, 1/8, s, 3 in increasing order.
s, 0, 1/8, 3
Let r = -142 - -138. Let h be 2/3 + (-344)/12. Put r, 3, h in decreasing order.
3, r, h
Suppose 3*o - 2 = f + 2*o, -5*o - 25 = 0. Let y be (1/f*-1)/(-10 - -9). Let z = -13 + 8. Put 4/3, z, y in increasing order.
z, y, 4/3
Let x = -41 + 35. Let b be (-38)/57 + -1 + 8/x. Let j be (2/6)/(4/60). Sort b, j, -6 in ascending order.
-6, b, j
Let n be (10140/(-21))/4 + -5. Let m = n + 126. Sort -1/5, 2/5, m in decreasing order.
2/5, m, -1/5
Let j(w) = -w**3 - 6*w**2 - 15*w - 32. Let r be j(-4). Suppose -5*k - 28 = 3*u - 0*k, -2*u + k + 3 = 0. Sort 2, 0, r, u.
r, u, 0, 2
Let u be (-7)/(-1) + (-7 - 1). Put 47, -4, 5, u in ascending order.
-4, u, 5, 47
Suppose 0 = -9*g + 4*g - 15. Let a be g/(-1 - 28/(-16)) + 3. Sort a, 0, 5, -5 in decreasing order.
5, 0, a, -5
Let z(d) be the second derivative of -d**3/3 + 5*d**2 + 19*d. Let a be z(6). Put 1, -16, a in increasing order.
-16, a, 1
Suppose -2*s - 4*y + 44 = 0, 12*s - 2*y = 10*s + 14. Let h be 2/s - 3/(-6). Let u = -6 + 9. Put 4, h, u in descending order.
4, u, h
Let k(q) = q**3 - 2*q + 1. Let x = -7 + 1. Let n = x - -4. Let i be k(n). Sort 2, 5, i in decreasing order.
5, 2, i
Let m = 277.8 + -323. Let c = m + 45. Sort 3, -2, c, 1/7 in descending order.
3, 1/7, c, -2
Suppose 0 = 4*m - m. Suppose m = 2*s - 2*p - 12, -3*s = -5*p - 30 + 8. Suppose 0 = -0*g - 2*g - 4. Put g, s, -3 in descending order.
s, g, -3
Let s be (-3 - -13) + (-212)/20. Sort -17, -3/2, s, -3.
-17, -3, -3/2, s
Let z(l) = -l**3 - 2*l**2 + 1. Let b be z(-1). Let g be 0 + b + 8/(-2). Let o be (1032/(-126) + 8)*-3. Sort o, -2, g in descending order.
o, -2, g
Let k(t) = -3*t + 7*t + 4 - 13 + 4. Let x be k(2). Let s be -4 + x - (-4)/(-2). Sort s, -5, -8 in increasing order.
-8, -5, s
Let v = 3.44 - 10.51. Let m = 0.07 + v. Sort -1/2, 2/9, m.
m, -1/2, 2/9
Let n = -0.05 - 0.1. Let b = n + 0.45. Sort 14, -3, b.
-3, b, 14
Let c = -0.23 + 0.03. Suppose 21 = 2*b - 3*b. Let x = b - -23. Put x, -0.1, c in increasing order.
c, -0.1, x
Let u be (-264)/42 + 4/14. Let s = -141 + 145. Sort u, -5, 3, s in descending order.
s, 3, -5, u
Let l be ((-22)/(-77) - 26/(-7)) + -1. Suppose 5*v = -2*a - 24, 0 = -0*a + 4*a + 4*v + 24. Sort -3, a, l in decreasing order.
l, a, -3
Suppose 0 = -4*l + 5*h + 4 + 12, 0 = 3*h. Sort 9, -5, l, -2.
-5, -2, l, 9
Let f = -82 - -86. Let k = -77 + 77. Sort k, -1, f in increasing order.
-1, k, f
Let t be 2/(-4)*(12 + -6) - -1. Let o = 1 + 3. Let l = o + t. Sort -3, -2, l in decreasing order.
l, -2, -3
Let t(c) = 9*c**2 - c + 7. Let y(b) = -1. Let d(x) = -t(x) - 6*y(x). Let n be d(1). Let i be (-3)/(n/6) - -3. Sort -1/2, 1/3, i.
-1/2, 1/3, i
Suppose t = -1, -q = -4*q - 2*t - 47. Let u(a) = -a + 6. Let z be u(6). Sort z, -4, q in decreasing order.
z, -4, q
Let y = -1 + 2. Let q = y + -0.5. Let j = 88 - 86. Sort q, -5, j in increasing order.
-5, q, j
Let g = 136 + -141. Sort g, -11, 2, 3 in decreasing order.
3, 2, g, -11
Suppose -5*h = -7 - 3. Let s be (-6)/5 + (-9804)/(-570). Sort -4, h, s, 0 in decreasing order.
s, h, 0, -4
Suppose 93*u - 3 = 94*u. Sort 5, u, -19, 1.
-19, u, 1, 5
Let b(j) = -4*j**2 + 2*j - 17. Let c be b(2). Sort 0, c, 9.
c, 0, 9
Let y = 6.067 + -2.067. Sort 4/7, y, -0.131, 0.1.
-0.131, 0.1, 4/7, y
Let k(o) = -o**3 - 7*o**2 + 8*o + 2. Let s be k(-8). Let m be (-10)/8*(7 - -5). Let d be (-11)/4 + m/(-20). Sort s, d, 3 in ascending order.
d, s, 3
Suppose -3*h + 11 + 22 = 0. Let b = h - 7. Let w = -0.07832 + 0.07832. Sort 2/5, w, b in decreasing order.
b, 2/5, w
Suppose 2*q - 2*f - f = -11, -3*q = -4*f + 15. Suppose -3*t - 4*c + 0 = -11, -4*c = -2*t + 14. Sort t, q, -4, -3 in descending order.
t, q, -3, -4
Let i = -1125 + 1125. Sort i, -160, 2, -1 in descending order.
2, i, -1, -160
Let l = 162 + -201. Sort l, 5, -3, 4/3.
l, -3, 4/3, 5
Let q(n) = -n + 6. Let i(t) = -t**3 - 12*t**2 - t - 5. Let c be i(-12). Let h be q(c). Let p(r) = r + 6. Let b be p(-4). Put b, 4, h in ascending order.
h, b, 4
Let l = -0.4 + 0.7. Let w = l + -0.8. Let g = -103 + 103. Put -2/15, g, w in descending order.
g, -2/15, w
Let b be -5 - -10 - (-12)/(-3). Let m be 11 + -7 + (b - 2). Sort 4, 7, -4, m in decreasing order.
7, 4, m, -4
Let a = 53 + -53.23. Let h = a + -2.77. Put 4, h, 0.1 in decreasing order.
4, 0.1, h
Let n(z) = -27*z - 1104. Let b be n(-41). Sort 1, b, 4, 15.
1, b, 4, 15
Suppose 9 = w - 6*b + b, 0 = -w - 2*b + 9. Let l = -8 + 12. Suppose l*a = a + w. Put a, 4, -2 in ascending order.
-2, a, 4
Suppose 4*c = 5*r + 11, -3*r - 2*r = -3*c + 7. Suppose -b + r - 10 = 0. Suppose -2*t = -3*t - 4. Put 0, b, t in increasing order.
b, t, 0
Let i be (-2)/9*(1 - 0). Let a = -142 + 161.2. Let f = a - 21.2. Sort f, i, 0.3 in decreasing order.
0.3, i, f
Let z be (102/(-153))/(3/(-18) + 13/6). Let c = 0 + -0.1. Let l = c - 0.1. Sort 5, z, l.
z, l, 5
Suppose o - 4 = 1. Suppose 5*f - 60 = -5*p, -4*p = f + 4*f - 50. Put 3, o, p in decreasing order.
p, o, 3
Suppose -5*l + 2*y - 23 = 0, 0*l + 19 = -l + 4*y. Let j(i) = 8*i**2 + 4 + 29*i + i**3 - 25*i**2 + 4*i**2 + 8. Let r be j(10). Put 1, l, r in ascending order.
l, 1, r
Let h = -0.9 + 0.4. Suppose -98 = 4*p - 11*p. Let k be (-4)/(-2) + p + -14. Put -0.02, k, h in descending order.
k, -0.02, h
Let t be (-1)/4 + 100/16. Suppose 0 = b + 3*i + t + 4, -b - 2*i - 8 = 0. Put 2, 1, b, -5 in ascending order.
-5, b, 1, 2
Suppose 24*g = 27*g - 9. Suppose 3*w = 3*q + 1 + 2, g*q = 5*w - 11. Sort 2, -1, -10, q in decreasing order.
q, 2, -1, -10
Let d be (0 - 1571)*6/20. Let h = 470 + d. Let c = h - -4/5. Sort 5, c, 0.4 in descending order.
5, 0.4, c
Let n = 1947 + -1942. Let c = 9 - 4. Let i(f) = f - 4. Let m be i(c). Sort -1, m, n in increasing order.
-1, m, n
Suppose -3*f - 11 - 1 = 0. Suppose 4*c = -c - 40. Let j be 2/c + (-19)/4. Sort f, j, 2 in ascending order.
j, f, 2
Let n = 2 + -3. Suppose -5*f + 76 = 4*x - 64, 0 = 4*x + 2*f - 128. Let d be (-33)/(-126) + (-5)/x. Sort -2/11, d, n in increasing order.
n, -2/11, d
Let n be (-2 + (-40)/(-12))*(-7)/28. Let t be (-6)/21 - (-11)/14. Sort n, 3, t in descending order.
3, t, n
Let l = -0.22 + -2.38. Let o = l - -1.6. Let b = o + -2. Sort b, 5, 1/4 in decreasing order.
5, 1/4, b
Suppose -9*p = -6*p. Suppose -2*w - 5*w + 126 = p. Let r be (-5)/3 + w/27. Sort 3, 1, r in increasing order.
r, 1, 3
Let o = -77.51 - -77. Let y = o + 0.01. Suppose -3 = -3*b - 4*k, 5*b - 5 = -4*k - k. Sort y, -2/3, b.
-2/3, y, b
Suppose 12*i - 33 - 3 = 0. Suppose i*g = 10*g + 28. Let o(c) = -c - 3. Let r be o(-5). Put -2, r, g in decreasing order.
r, -2, g
Let h be 154/(-12)*(18/(-12) + 3). Let r = h + 18. Put -0.4, r, 1/2, -2/23 in descending order.
1/2, -2/23, -0.4, r
Suppose 0*q = q - 2. Let w = -290 - -293. Sort q, 5, 0, w.
0, q, w, 5
Let c = -2 - 10. Let s = 15 + c. Let n = -53.5 - -53. Sort n, 0, s in descending order.
s, 0, n
Let n = 37.627 + 0.373. Sort 0.4, n, -3 in descending order.
n, 0.4, -3
Let u = 99/28 + -13/4. Sort u, -0.3, 6/7, -4 in decreasing order.
6/7, u, -0.3, -4
Let d be 2/(-5) - (-161)/280*2. Suppose 2*w + 15 = 4*f + 5, 0 = -3*w - 9. Put -5, f, 2, d in ascending order.
-5, d, f, 2
Suppose -3*c = -5 + 2. Let y(k) = -7*k - 22. Let h be y(-5). Suppose 5*l - 3*t = 10, 4*t - h = -2*l + 17. Sort l, c, -3 in increasing order.
-3, c, l
Let p = -0.0978 - -0.3978. Put -19/3, 0.01, -0.5, p in decreasing order.
p, 0.01, -0.5, -19/3
Suppose -39 = 6*m - 117. Put -3, m, 0.4, -1 in descending order.
m, 0.4, -1, -3
Suppose -5*f + 2*f + 6 = 0. Suppose -o + 4 = 4*q + f, -8 = -4*o - q. Suppose -o*g - 13 + 5 = -2*m, 2*g + 2*m = 0. Sort 3, -5, g in decreasing order.
3, g, -5
Let u be 52/(-8) - -9 - 1/2. Sort -2, 1, u, -5 in increasing order.
-5, -2, 1, u
Let j = 83.7 - 3.7. Let w = j - 83. Put -0.2, 2, 1, w in decreasing order.
2, 1, -0.2, w
Let i = -23 - -9. Let o = 9 + i. Let t = 23 - 23.1. Put o, 0.1, t in ascending order.
o, t, 0.1
Let r = -2.48 + 2.08. Sort 0, 1/5, r, 2 in ascending order.
r, 0, 1 | {
"pile_set_name": "DM Mathematics"
} |
of ((-10)/((-30)/3))/((-55)/(-11))?
1/5
Calculate 8/(10/((-80)/(-8))).
8
What is the value of ((-10)/20)/((-4)/8)*17?
17
-1*(-23)/690*9
3/10
Evaluate (24/60*-3)/(20/(-150)).
9
What is the value of (-9*(-1)/(-3))/((-2)/(-4))?
-6
What is (3/18)/((-23)/(-3312))?
24
What is the value of (1*(-51)/34)/(60/16)?
-2/5
(66/110)/(33/55)
1
Calculate ((-7)/10)/((-1533)/5475).
5/2
Calculate 6/18*30*(72/150)/6.
4/5
Evaluate (4/9)/(8/(-72)*6).
-2/3
What is the value of (36/60)/((3/30)/((-15)/(-6)))?
15
Evaluate -2*((-42)/(-35))/(256/40).
-3/8
Evaluate (15/(-8))/(87/(-232)).
5
(8/(-18))/(8/36)
-2
Calculate (-207)/1288*-14*2/2*4.
9
Calculate (-1*6*(-10)/630)/(30/140).
4/9
(9/(-27)*595/(-7))/5
17/3
60/(-45)*1710/120
-19
(((-12)/(-1))/528)/(2/24)
3/11
Evaluate (-6)/(-1)*22*38/(-627).
-8
What is the value of 500/(-1400)*(-8)/10?
2/7
What is the value of -60*7/(-245)*7?
12
Evaluate 4/(-24)*9/(162/12).
-1/9
(11/(594/(-36)))/(-2)
1/3
Calculate (-74)/481*-65*(-12)/(-15).
8
What is (-7*12/294)/((-87)/21)?
2/29
What is the value of ((-8)/(-60)*-6)/((-43)/(-215))?
-4
What is 80/10*(10/(-16))/(-5)?
1
What is the value of -15*(-8)/(-144)*(-36)/(-18)?
-5/3
897/(-138)*308/(-143)
14
Calculate (6/(-36))/((-1372)/294).
1/28
Calculate ((-9)/108)/(50/540*-6).
3/20
Calculate 1380/(-805)*28/(-8).
6
What is 39*-2*(-1341)/5811?
18
Evaluate 17/(19/19)*-1.
-17
Calculate 3*7/((-7)/4)*2/4.
-6
Evaluate (3/9*155/(-31))/((-3)/9).
5
What is (-721)/(-206)*4/14?
1
(1/(-35)*2*-10)/(8/(-28))
-2
2*(-42)/(112/16)
-12
(1/(-11))/((-140)/(-560))
-4/11
Evaluate (31/(6944/(-84)))/6.
-1/16
What is the value of (((-28)/(-2))/7)/(30/345)?
23
Calculate ((-1850)/(-740))/((-5)/(-14)).
7
Calculate (2/(-76))/(-46*(-42)/7728).
-2/19
((-7)/(-10))/(70/20)
1/5
Calculate 1/(-3)*-2*(-20298)/796.
-17
What is (135/180*(-16)/(-42))/((-2)/(-91))?
13
What is 4*19*(3*11/(-66))/2?
-19
What is (3/(-3))/((-17)/(-153))?
-9
((10/(-30))/(5/18))/((-345)/1150)
4
Evaluate (3/(-3))/((8/48)/(6/18)).
-2
Evaluate (-6*1/1)/(144081/(-54888)).
16/7
Evaluate (-13)/2*4/6*(-177)/59.
13
What is -10*((-1656)/1890)/92?
2/21
Calculate (((-288)/(-42))/2)/((-4)/14).
-12
(1/(-3))/(((-1537)/29)/1590)
10
(-11*(-78)/429)/(2*(-2)/66)
-33
What is the value of 55/((-40)/8)*9/(-9)?
11
2*(-18)/(198/77)
-14
6/(-14)*10*77/16170
-1/49
What is the value of 12*8/704*60/45?
2/11
(290/(-2900)*(-8)/(-2))/(1/(-40))
16
Evaluate (122/(-1464))/(3/(-45)*(-5)/(-4)).
1
What is the value of ((-35)/(-20))/(-7)*37/(259/42)?
-3/2
Calculate 14*3*5/(-8)*184/(-690).
7
What is the value of -9*9/135*-10?
6
Calculate (1/(-1))/((-426)/(-568)).
-4/3
What is the value of ((-2)/(-3))/(-21*(-82)/(-46494))?
-18
(-847)/(-77)*(-20)/25*5/2
-22
Evaluate (271/(-4878))/(1/(-2)).
1/9
(-4)/(-9)*(-26)/(1976/(-285))
5/3
-8*6/30*((-75)/40)/5
3/5
What is (34/(680/15))/((-5)/(-20))?
3
What is the value of (6/18)/(2970/(-324))?
-2/55
What is (232/(-29))/((-8)/(-6))?
-6
Calculate (230/(-345))/(3/(9/(-7))).
2/7
6/126*-7*-6*9/(-6)
-3
((-63)/294)/(((-663)/42)/17)
3/13
What is the value of 52/(-8)*132*24/(-936)?
22
What is (-43)/((-2064)/(-3))*(-44)/1?
11/4
What is (-175)/35*216/(-40)?
27
What is (6/(2*30))/(51/136*-4)?
-1/15
What is the value of ((-14)/(-12))/(1/3*24/48)?
7
Calculate ((-5)/(-15))/((-35)/385).
-11/3
Evaluate 2/((-5)/240*-6*(-4)/(-2)).
8
What is the value of ((-5)/(-20)*4)/(1/(-1))?
-1
(-217)/4*(-2740)/(-4795)
-31
Evaluate (3/17)/(63411/31246).
2/23
Evaluate 6/(2/2)*684/(-2736).
-3/2
What is the value of (10/4*(-1)/15)/((-15)/2070)?
23
Evaluate (15*1/30)/((-18)/(-228)).
19/3
What is the value of 4*-1*(-81)/270*-10?
-12
-3*(1320/90)/2
-22
What is (26/260)/((-189)/180)?
-2/21
Calculate (-21*10/(-35))/3*4/(-40).
-1/5
What is the value of (6*(-3)/30)/(11/(-6160)*16)?
21
What is (55/(3080/(-16)))/((-3)/(-105))?
-10
Calculate (42/8)/((21/12)/7).
21
Calculate 28/(-4)*87/(-21).
29
What is the value of ((-15)/(-20))/(285/20)?
1/19
Evaluate ((-7)/(-28))/((-5)/(-8)*(-22)/(-55)).
1
20/(-6)*((-12)/70)/(105/735)
4
Evaluate (-36)/9*2/8.
-1
Evaluate (10/(-21))/((-634)/2853).
15/7
Calculate 4240/(-79500)*(-3)/4.
1/25
Evaluate ((-1)/(-2))/((-18)/(-12))*3*7.
7
Evaluate (384/(-608)*19/(-14))/(135/42).
4/15
Evaluate (-4)/((-5)/(20/6)*432/3402).
21
Calculate ((1/1)/(-5))/(2/((-60)/18)).
1/3
What is the value of ((-7668)/2106)/(-71)*(-6)/(-4)?
1/13
What is the value of (2/(-8))/((-380)/(-1824)*99/15)?
-2/11
What is the value of ((-4)/(-288)*-4)/(-4*(-1)/12)?
-1/6
What is the value of ((-30)/(-4))/(800/320)*2/(-9)?
-2/3
What is the value of 1*2/14*63*6/54?
1
Calculate ((-759)/99)/((-15)/45).
23
What is 4/(-24)*(-15)/(-5)?
-1/2
What is the value of (-28)/12*(-10)/(-28)?
-5/6
(-64)/12*165/44
-20
What is 6/8*-2*(-80)/(-720)?
-1/6
Calculate ((-36)/14)/((-14)/196*8/2).
9
-3*(-6)/(11/((-132)/(-90)))
12/5
Calculate (-36)/(-18)*26*((-10)/5)/8.
-13
((-440)/660)/((-40)/(-24))
-2/5
What is 6*(-16)/18*3?
-16
What is (-200)/175*(-420)/(-80)?
-6
30/5*-11*(-8)/1320
2/5
What is the value of 2*(-9)/(954/(-2))?
2/53
What is ((-3)/(2*-6))/(13/1560*-5)?
-6
What is the value of (-7)/(-6)*(-10)/((-100)/(-15))?
-7/4
What is (-14800)/555*(-6)/20?
8
(-6)/(-30)*5*8
8
Evaluate (((-1)/(-3))/1)/((-45)/(-4995)).
37
What is (-162)/432*(-4)/(-2)?
-3/4
60/(-8)*((-1)/6)/(3/6)
5/2
Calculate 1*(10/(-5))/2*(-6)/6.
1
Calculate (((-870)/(-10))/783)/((3/2)/3).
2/9
What is ((14/36)/(-1))/(1778/(-508))?
1/9
What is (-7)/(-2)*496/434?
4
What is the value of (251800/88130)/(1*2/7)?
10
What is (-48)/5928*-38*2/4*-3?
-6/13
What is (13/(-2))/(((-17)/(-2))/17)?
-13
Evaluate ((-132)/88)/((-3)/(-8)).
-4
((-40)/5320*-28)/((-4)/(-38))
2
(133/(-57))/(56/(-120))
5
What is (-1)/((-2)/(-2)*(-55)/(-165))?
-3
(((-3)/10)/(420/160))/((-6)/(-7))
-2/15
(((-1984)/31)/(-16))/13
4/13
Evaluate 494/(-247)*(-7)/2.
7
Evaluate (4590/68)/(-27)*-10.
25
1/5*6*15*256/(-288)
-16
What is the value of (-84)/(-8)*6080/1824?
35
What is (-4595)/1838*((-14)/(-10))/1?
-7/2
7/14*26/364
1/28
What is (-26)/(8658/(-15))*(-30)/75?
-2/111
What is (-2)/8*-1*4?
1
What is (-10)/110*(-286)/2?
13
Evaluate 6*1/(-5)*(-10)/(-4230)*-15.
2/47
What is ((-999)/1110)/((-12)/10*2)?
3/8
-1*4*(-14)/8*(-6)/21
-2
What is the value of ((-58)/464)/(3/(-4))?
1/6
468/1755*(-25)/(-40)
1/6
What is the value of (306/1071)/(2/5)?
5/7
Evaluate (6/(-2))/(2*1*206/(-1236)).
9
Evaluate ((8/12)/(3/6))/((-2)/15).
-10
What is the value of ((-80)/3)/(-5)*-5*2/(-120)?
4/9
Evaluate 285/(-57)*(-3)/225*1.
1/15
(-1)/(-150)*-10*(-2)/((-36)/15)
-1/18
Evaluate 3393/(-5655)*(-25)/(-7).
-15/7
What is the value of (33750/(-13125))/(4/14)?
-9
What is the value of ((-8)/6)/((-55)/(40755/456))?
13/6
(7/140)/((10/(-16))/1)
-2/25
Calculate (-76)/(-209)*33/54.
2/9
Evaluate ((-40)/12)/(185/(-37)).
2/3
Calculate (-220)/(-12)*918/765.
22
Calculate 42/(5*(-4)/(-100)*15).
14
What is the value of (990/550)/((-6)/10)?
-3
Evaluate (4/(-3))/(406/87).
-2/7
What is the value of 1/(-2)*(69/437)/((-3)/(-2))?
-1/19
Calculate 2/((-2)/(-2))*4/(-30)*15.
-4
Evaluate 8*(-3)/36*((-6)/(-7))/(-2).
2/7
(10/(-420)*7)/(2/(24/38))
-1/19
Calculate (40*144/4800)/(1/(-20)).
-24
What is (2/16)/(3465/1980)?
1/14
Calculate (((-1)/(-1))/((-1253)/2864))/(2/7).
-8
Evaluate ((-42)/45*306/(-119))/((-3)/10).
-8
Evaluate ((-82)/82)/((-63)/(-7)).
-1/9
(0*(-5)/10)/(20/(-10))
0
Evaluate (27/(-2))/((-8)/(-16)*9/6).
-18
Calculate (-39)/(1053/(-1305))*6/(-10).
-29
Evaluate (3068/585)/59*(-15)/6.
-2/9
What is 2/(1/90*-2*(-174)/29)?
15
What is the value of -3*((-11)/(-6))/(-2*(-3)/12)?
-11
Evaluate (9/10)/(384/(-80))*(-20)/(-6).
-5/8
Calculate ((988/16)/19)/(-1*4/16).
-13
Calculate 3/(27/42)*((-66)/4)/(-33).
7/3
40/15*(-1)/(300/5)
-2/45
What is the value of ((-17)/(-1581))/((285/(-38))/15)?
-2/93
What is the value of (4*6/(-4))/((-57)/646*-17)?
-4
Evaluate ((1330/20)/19)/((-84)/(-144)).
6
Evaluate (2/(-114))/((-850)/(-15300)).
-6/19
What is the value of (-12)/(-21)*(-225)/(-180)*(-1)/10?
-1/14
Evaluate ((-24)/(-1560))/((4/4)/(5/2)).
1/26
(1780/(-623))/(35/294)
-24
(184/161)/((-528)/(-84))
2/11
(14/1)/(30/(-210)*7)
-14
((-289)/(-7803))/(1/(-1))
-1/27
Evaluate (-184)/((-1104)/24)*(77/24)/(-7).
-11/6
((-4290)/(-3300))/((-1)/(-10))
13
(52/(1456/(-21)))/(3/(-8))
2
What is the value of 2/(-26)*((-3)/10)/(57/(-95))?
-1/26
Calculate 5/25*((-8)/8)/((-8)/(-5)).
-1/8
Calculate (-40)/(-15)*1/((-8)/6).
| {
"pile_set_name": "DM Mathematics"
} |
: d or v?
v
Suppose p = -4*p + 4*q + 17, 0 = -4*p + 5*q + 10. Suppose -p*l + 5 + 0 = 0. Are l and 3/4 unequal?
True
Let l = 151/2289 - 2/109. Let p be ((-60)/(-4))/(-5) + 3. Is l < p?
False
Let q(k) be the third derivative of -k**6/120 + 3*k**5/20 - k**4/3 - 19*k**3/3 + 52*k**2. Let i be q(8). Is -39 at least i?
False
Let d = 8 - 13. Let k be (-6)/9 - (-22)/(-6). Is k > d?
True
Let j = 0.44 + -0.55. Let w = 0.18 + -0.07. Let g = j + w. Is 2 <= g?
False
Let v = 11018/15 - 734. Which is bigger: v or 2?
2
Let b = -1056119 - -7368425/7. Let p = 3555 + b. Let y = -68 + p. Which is smaller: y or 0.3?
y
Let k be 2/(-3) - 590/(-120). Which is smaller: k or 5?
k
Suppose -3*k + 8 = -k. Let j(q) = 1 + 0*q + 2*q - 4 - 4. Let y be j(5). Which is smaller: k or y?
y
Let d = 199 + -641. Let k be ((-4)/22)/(2/(-4859)). Let l = d + k. Are -1 and l non-equal?
True
Let d be (-8 + 4 - -2)*-14. Let f be 1 + 2/((-64)/d). Which is greater: -1 or f?
f
Let p = 37.6 - 37.5. Which is smaller: p or -660?
-660
Suppose -3*w + 46 = 1. Suppose j - 7 = 8. Is j not equal to w?
False
Suppose -8*r + 13*r - 145 = 0. Let h = 30 - r. Which is greater: 3/25 or h?
h
Suppose 0 = 6*j - 9*j + 285. Let r = 1333/14 - j. Is 0 less than r?
True
Let k be (7 - 25)/2 + 10. Is 16/73 greater than k?
False
Suppose 180 = 2*y - 6*y. Let n be (-6)/1*228/y. Let r = n - 149/5. Which is greater: r or -1?
r
Let d(l) be the second derivative of l**5/20 - 11*l**4/12 + l**3/3 - 4*l**2 - 3*l. Let h be d(10). Let t be (-16)/h + (-94)/154. Is t >= 0.1?
False
Let a be 1*-2 + 30580/(-22). Let h be a/330 + (-2)/(-5). Are h and -3 non-equal?
True
Let m = -19985/1135342 + -1/6718. Let r = m - -1252/3887. Is r greater than or equal to 0?
True
Let k = 52.3 + -54. Let f = 1.9 + k. Which is greater: 1 or f?
1
Let b(s) = -18*s - 4*s**2 + 16*s + 6*s**2. Let n be b(0). Is n at least -3/10?
True
Let k = 12 - 13. Let a = 0.1 + k. Let h = -1.1 - a. Which is smaller: h or 0?
h
Let t = 0.0782 - 1.2782. Is t at most as big as -15?
False
Let c = 3/25 + 101/200. Let b(q) = -q - 5. Let j be b(-5). Which is smaller: j or c?
j
Let v = -6708 - -6706. Let z = 0.4 + -0.36. Let u = z - 0.44. Is u at least v?
True
Let u(y) = y**3 + 7*y**2 - 14*y - 11. Let k be u(-9). Let b = -43 - k. Which is smaller: 9 or b?
b
Let q = 236 + -234. Let k(a) = a**3 - 7*a**2 + 8. Let l be k(7). Let n = -5 + l. Is n smaller than q?
False
Suppose -5*f + 1812 = 3*x, -f = 3*f. Let c = 22350/37 - x. Let h = 5 - 4. Is h less than or equal to c?
False
Let v = -2056 + 2060. Is 111/22 bigger than v?
True
Let t = -0.802 + 0.502. Is t not equal to 39?
True
Suppose 0 = 3*p - 12. Suppose 15*v - p = 19*v. Does -0.2 = v?
False
Let y = 5.57 - 5.4. Let t = y + -0.38. Is t < 2?
True
Suppose -235 - 145 = -5*k. Let t = 77 - k. Which is smaller: 3 or t?
t
Let k = -1.56 + 7.93. Let v = 0.17 - k. Let u = v - -6. Are 2 and u equal?
False
Suppose -5*c + k + 245 = -0*k, -2*k + 38 = c. Suppose -152*x + 1925 = -1830 - 3541. Is c at least as big as x?
True
Let j = 2.8 - 7.8. Suppose 5*i = -4*l + 69, 5*l - 24 - 11 = 4*i. Is l equal to j?
False
Suppose -5*j + 2 = 42. Let m(g) = -g - 10. Let d be m(j). Is -1/2 smaller than d?
False
Let c be 18/4 + (-111340)/152. Are -728 and c equal?
True
Let l = 30 + -16. Let v be 7/6*(-9)/l. Let t be ((-6)/4)/(78/(-12) - -4). Are v and t nonequal?
True
Let w = -227.61 + 227.7. Let x = -2 - -5. Is w equal to x?
False
Let k be (3/(-132))/(735/(-369) - -2). Let g = 28/11 + k. Which is smaller: g or 9?
g
Let w be (0 - -2)/(4/6). Suppose -w*x - 5*x - 16 = 0. Is x smaller than -4?
False
Let c = 0.12 + -4.12. Let s = 3 + c. Let b = 9 - s. Do b and 1/2 have the same value?
False
Let d(u) = u**3 - 7*u**2 - u + 6. Suppose 0 = 4*m + m - 10. Suppose 4*f + 5*q - 28 = 0, 0 = -m*q + 3*q. Let r be d(f). Is -6/13 smaller than r?
False
Let n be (3 + -6 - 3)*1. Let b = -3 - n. Suppose 0*x - 4 = -x - 2*f, -b*f = -5*x + 20. Which is bigger: x or 1?
x
Let a be -5 + 2 - 35/(-11). Let i = 60 - 59.4. Is a <= i?
True
Let y = -2257 - -2330.2. Is y at most as big as -2/7?
False
Let x(j) = -j**3 - 15*j**2 - 12*j + 8. Let v(y) = -y**2 + 7*y - 6. Let q be v(8). Let r be x(q). Is -21 >= r?
False
Let i = 6 + -8. Which is bigger: -258 or i?
i
Suppose -8*a + 128 = -4*a. Let m be 4*26/a + -3. Do m and 9/11 have the same value?
False
Suppose 0 = -4*w + 23 + 1. Suppose 0 = -3*b - 3*t + 6 + 6, 3*b + 2*t = 12. Which is smaller: w or b?
b
Let p = -0.3 + -6.2. Let v = -769 + 768. Is p at most as big as v?
True
Let g be (4/38 - (-12)/(-114)) + 0. Which is greater: 24/131 or g?
24/131
Let l be (2/74)/((-35)/(-140)). Is l bigger than 0?
True
Let l be 9/(-6)*6/(-9). Let z = l - 4. Let i = 200 + -206. Which is bigger: z or i?
z
Let h be 2/((-78)/1473)*-10. Let x = -378 + h. Suppose -4*l + 71 - 71 = 0. Which is bigger: x or l?
l
Let o = -0.3627 + 0.1627. Which is bigger: -496 or o?
o
Let c = 437 + -438. Let u(b) = -b - 2. Let w be u(-3). Let p = -5 + w. Which is smaller: p or c?
p
Let x = -21.55 + 24. Let t = -0.56 + x. Let c = t - -0.11. Is -0.02 equal to c?
False
Let c = 314.9 + -297. Let k = 18 - c. Which is smaller: k or 0.4?
k
Let b be 52/6*-24 + 5. Is b smaller than -203?
False
Let l(k) = -k**2 + 15*k - 50. Let m be l(11). Let n = -12 + 13. Which is greater: m or n?
n
Let n = 110.7 + -110.645. Is -0.4 at most n?
True
Let p = -152/7 - -22. Suppose -5*i + g + 449 = 0, i + 5*g - 77 = 18. Is p at most as big as i?
True
Let c be 1320/80 - (-5)/(-2). Is c bigger than 19?
False
Suppose 10 = -2*s, -35 = -2*r + 7*r + 5*s. Suppose 0 = 11*b - 9*b. Suppose b = 8*n - 13*n + 25. Is n greater than r?
True
Let n be 4 + ((-16764)/(-204))/(-11). Which is greater: -3 or n?
-3
Suppose g + 3*n + 6 = 0, -3*g - 4*n = -g + 6. Suppose -g*y = -3*j + y + 17, 4*y = -4*j - 24. Is j greater than 8?
False
Let s(k) = k**3 + 2*k**2 - 3*k. Let c be s(-3). Suppose 3*a + 12 = c, 4 = 4*d - 3*a + 5*a. Suppose 16 = d*x + x, 4*m = -4*x. Is -4 greater than m?
False
Suppose 4*a + 7*c = 2*c - 102, 38 = -2*a + 4*c. Let o be (-504)/(-6) - 2/1. Suppose -z + 2*p - 17 - 1 = 0, -4*z + 3*p = o. Which is smaller: z or a?
a
Suppose 5*b = -2*q + 2184, 0 = 4*q + 98*b - 96*b - 4400. Are 1101 and q unequal?
True
Let j = 29/132 - 1/4. Is j at least 0?
False
Let j be 492*7/28*-4. Is j greater than -495?
True
Let n = 64261/135 + -476. Which is greater: 1 or n?
1
Let a(s) be the second derivative of s**4/12 + s**3/3 + 7*s. Let c be a(0). Is -1/22 at most c?
True
Let y = -3.0513 - -0.0513. Are -9 and y equal?
False
Suppose 0 = -j - j. Suppose -7*a + 477 = 1. Suppose -67 = -d - a. Is j at most d?
False
Let d(h) = -2*h**3 + 2*h**2 + 6*h + 1. Let a be d(5). Is -169 less than a?
False
Let p = -0.36 - 42.64. Let i = p - -31. Let z = i - -11. Which is smaller: -0.16 or z?
z
Let r = 316/3 - 12938/123. Are 0 and r unequal?
True
Let p be (10/(-35) - (-3246)/(-546)) + (8 - 2). Let d(r) = -2*r - 1. Let n(l) = l. Let s(h) = -4*d(h) - 9*n(h). Let x be s(4). Which is bigger: x or p?
x
Let k = -15/16 + 77/48. Let t be (10/15)/((-4)/6). Is k less than t?
False
Let p = -3411 - -3411. Let l = -8 + 4. Let x = l - -7. Is x >= p?
True
Let h be 248/(-66) - -2*5/110. Suppose 14*j = 9*j - 15. Are h and j unequal?
True
Suppose 0 = -3*p - 12, -x = -49*p + 54*p + 7. Are 86/7 and x non-equal?
True
Let m be -2 - ((-270)/64 + 2). Let u be (-65)/32 + (1 - -1). Let k = m - u. Which is greater: k or 1?
1
Let g be (-24)/(-8) + 1*6. Let x(h) = h**2 - 10*h + 6. Let t be x(g). Let b be 1 + t*(-22)/(-54). Which is bigger: b or -1?
b
Let z(f) = -f**2 - 10*f + 6. Let u be z(-10). Suppose -u*k = -2*k - 12. Let a = k + -4. Which is smaller: a or 1/4?
a
Let g = 1494 - 1493.9. Which is greater: 12.8 or g?
12.8
Let l(i) = 2*i**2 + 2*i - 4. Let k be l(4). Let r be k/306 + (-563)/17. Let g = r - -25. Which is smaller: g or -9?
-9
Let k = -547 + 549. Let a = -15355/11 - -1397. Is k greater than a?
True
Let l = -667 + 758. Which is greater: l or -0.6?
l
Let a(y) = -y**3 - 8*y**2 - 9*y - 10. Let i be a(-7). Suppose 2 = 2*g - g, i*m - 4*g + 32 = 0. Let q be ((-12)/(-3))/((-4)/m). Which is smaller: 5 or q?
5
Let l be (-5*(-18)/(-3660))/((-3)/(-4)). Is l at least -1?
True
Let s(r) = 5*r**2 - 2*r + 1. Suppose -6*a = 2*m - 2*a + 2, -1 = -5*m - 4*a. Let b be s(m). Let f = 143 - 143.3. Which is smaller: f | {
"pile_set_name": "DM Mathematics"
} |
+ a - 5. Let w be x(-4). Give v(w).
-5
Let x(k) = -1. Let t(r) = r**3 - r**2 - 2*r + 2. Let p = 612 - 614. Let i(f) = p*x(f) + t(f). What is i(3)?
16
Let b = 134180 - 134174. Let t(s) be the third derivative of -s**5/60 - 7*s**4/24 - s**3/3 - 2*s**2. Let a(j) be the first derivative of t(j). Give a(b).
-19
Let r(l) = -l. Let x(h) = -h**3 - 13*h**2 - 9*h + 48. Let d be x(-12). Suppose -o - 4*j = -d + 13, -o - 4 = j. Give r(o).
5
Let h be (9 + -1)/((-16)/8). Let i(x) = 7*x**3 - 5 - 16*x**3 + 8*x**3 + 1 + 4*x - 3*x**2. What is i(h)?
-4
Let r(x) be the first derivative of 2*x**2 - 19*x + 1824. Give r(8).
13
Suppose -39*z - 3 = -2*h - 36*z, 2*h - 5*z + 3 = 0. Let y(j) = j**3 - 7*j**2 + 12*j - 25. Give y(h).
11
Suppose -8*u + 13 = -3. Suppose 4*t - 5*l = -24, u*l - 4*l = 5*t - 3. Let r be (t - -3) + -2 + (11 - 4). Let h(c) = c - 12. Calculate h(r).
-5
Let j(v) = -v**3 + 4*v**2 + 4*v + 7. Suppose 0 = -5*y + 10, -x + 12*y - 7*y = 0. Suppose -3*i + x + 5 = 0. What is j(i)?
2
Let u be (0/2 - 2) + -1. Let w(g) be the second derivative of 2*g**3/3 + g**2 + 2822*g + 1. Calculate w(u).
-10
Let g(p) = -61 - 56 + 114 + 3*p**2. Calculate g(2).
9
Let k(r) = 3*r**3 + r - 1. Let z(u) = -u**2 - u + 1. Let d(o) = -o**3 + 2*o**2 + o - 1. Let f(y) = d(y) + z(y). Let x(j) = -4*f(j) - k(j). Determine x(5).
21
Let w be (-6 - -9) + (37 - -1). Let j(s) = 43*s - 1. Let g be j(-1). Let k = w + g. Let a(f) = -f**3 - f**2 - f - 4. Calculate a(k).
17
Let f(c) = 3*c - 18*c**2 - 11 - 3654*c**3 + 13*c**2 + 3653*c**3. What is f(-6)?
7
Let g = 914 + -649. Suppose -35*z + g - 90 = 0. Let m(i) = -i + 7. What is m(z)?
2
Let x(r) = 8*r**2 - 4*r - 37. Let o(g) = 18*g**2 - 7*g - 79. Let k(c) = -6*o(c) + 13*x(c). Calculate k(-4).
-31
Suppose -4*d = -3*p - 11, -4*d + 177*p = 182*p - 3. Let w(h) be the first derivative of -1/3*h**3 + h**d + 24 + h. What is w(-1)?
-2
Let v(z) = z**3 + 28*z**2 - 54*z + 187. Suppose m - 5*h + 10 = 0, -18*m = -13*m + 2*h + 158. Give v(m).
7
Let n(z) = 12*z - 161. Let m be (1513/119 - 4/(-14))/1. Let y be n(m). Let s(h) = h**2 + 7*h + 6. Calculate s(y).
-4
Let g = 51 + -31. Suppose -3*a = i + 2*a + 16, 2*a + g = 3*i. Let m(t) = -t**2 - 2*t + 7 - i + 9*t. Determine m(7).
3
Let s be (1/(2/(-8)))/(-2). Let u(d) = -21*d - 34. Let a(q) = -14*q - 25. Let z(l) = -7*a(l) + 5*u(l). Calculate z(s).
-9
Let o = -3 + 6. Let x(l) = -11*l - 99 - 13 + 100 + 16. What is x(o)?
-29
Let f(v) = -3*v + 365 - 221 - 140. Suppose y + 15 = 4*y - 3*x, -2*y + 5*x + 16 = 0. Suppose 0 = 4*u - 4*g - 44, 0 = u + 3*u + y*g - 23. Calculate f(u).
-20
Let x(v) be the third derivative of -v**5/60 + v**4/2 - 7*v**3/3 - 56*v**2 + 62*v. Determine x(8).
18
Let m(s) be the first derivative of -17 - 15/2*s**2 + 0*s + s**3 + 1/24*s**4. Let c(g) be the second derivative of m(g). What is c(0)?
6
Let x(m) = 15*m + 3 + 33*m + 14 - 37*m - 13*m**2. Let t(n) = 3*n**2 - 3*n - 4. Let v be 9 + (-3 + 0 - -3). Let u(d) = v*t(d) + 2*x(d). Give u(4).
-6
Suppose a = b + 1, 4*b - a = a + 2. Let v(o) = -o**b + 5 + 3*o + 1 + 0*o. Let n = -50919 + 50924. Determine v(n).
-4
Let h(b) = -7*b**2 + 88*b + 259. Let g be h(15). Let d(v) = -49*v + 191. Determine d(g).
-5
Let r(g) = 2*g + 3. Let l be -8*(-3)/30 - ((-520)/100 - -11). Determine r(l).
-7
Let q(j) = -j**2 + 13*j - 8. Let v(t) be the first derivative of -23/2*t**2 + 5*t - 16 + t**3. Let g be v(8). Give q(g).
-8
Let c(k) = 2*k**2 + 55*k - 55. Let i(f) = -148*f - 176. Let n be i(-1). Calculate c(n).
-27
Let r(o) = 3*o + 2. Let d be r(1). Suppose 0 = -q + 3 + d. Suppose 9*x - 5*x = q. Let z(c) = -c**3 - c**2 + 2*c + 1. What is z(x)?
-7
Let c(h) be the third derivative of 1/6*h**3 - 7/60*h**5 - 64*h**2 + 0*h + 7/24*h**4 + 0 + 1/120*h**6. What is c(6)?
7
Let i = -8433 + 8427. Let g(z) = 2*z**2 - 12*z - 11. What is g(i)?
133
Suppose -5*m + n = 93, -1183*m - 3*n = -1188*m - 99. Let b(i) = 3*i**2 + 58*i + 53. Give b(m).
-19
Let k(w) be the second derivative of -w**3/6 - 2*w. Suppose 17*u - 18*u + p = 89, -3*u = -p + 257. Let g be (86 + u)/((-2)/3). Give k(g).
3
Let m = -41 - -43. Let v(l) be the first derivative of l - l**m - 16 + 6*l + l + 0*l. Give v(6).
-4
Let t(b) = -4*b**3 + 22*b**2 - 4*b - 9. Let a be t(5). Suppose -53*h + 3*j = -55*h - 9, j - a = 2*h. Let v(p) = -p**3 - 10*p**2 - 8*p + 12. What is v(h)?
3
Let x(c) = 8*c**2 - 37*c + 82*c - c**3 - 53*c + 3. Suppose 0 = 2*d - 3*k - 20, -4*d + 2*k + 10 = -22. Determine x(d).
-4
Let g(y) = -156*y + 97*y + 9 + 57*y. Let j = -27 - -19. What is g(j)?
25
Let p(v) be the first derivative of -v**4/4 + v**3 + 4*v**2 + 3*v - 39. Determine p(-3).
33
Let a = -1834 - -1837. Let p(i) = -i**3 + 5*i**2 - 6*i - 7. Calculate p(a).
-7
Suppose -3*v - 15 = -183. Suppose 3*k = 4*t + 147, -4*t + 153 = 3*k - 6*t. Let x = v - k. Let j(f) = -f + 1. What is j(x)?
-2
Suppose 0 = 5*o + 15 - 0. Let v(t) = t - 9. Let z(d) = -d + 8. Let a(y) = 3*y - 26. Let b(i) = 2*a(i) + 7*z(i). Let k(u) = o*v(u) - 5*b(u). Give k(6).
19
Let b(n) = 17*n**2 + 9*n - 9. Let t(u) = -94*u**2 - 46*u + 46. Let i(q) = -11*b(q) - 2*t(q). What is i(3)?
-5
Suppose -5*l - 48 = -l. Let w(d) be the first derivative of -d**4/4 - 11*d**3/3 + 6*d**2 - 8866. Give w(l).
0
Let m(q) = 4*q**3 + 21*q**2 - 5*q + 3. Let v(k) be the first derivative of -k**4/4 - 7*k**3/3 + k**2 - k + 156. Let a(c) = 2*m(c) + 7*v(c). Determine a(6).
-13
Let s = 7249 - 7241. Let w(v) = -7*v + 58. What is w(s)?
2
Let r(f) be the first derivative of f**4/4 + f**2/2 - 29*f + 3. Let u be (-625)/(-25) - (0 - -4). Suppose -21 = 11*k - u. Determine r(k).
-29
Suppose 3*j + 163 = 82. Let k = j + 29. Let y(a) = 3*a - a**k - 9 - 12*a + 3*a. Determine y(-6).
-9
Let a(x) = -3*x**3 + x**2 + 3*x + 6. Let p(r) = 4*r**3 - 2*r - 6. Let f(g) = 5*a(g) + 4*p(g). Let j = 117085 + -117089. Determine f(j).
-6
Let z(a) = -a**2 + 3*a + 10. Let x be z(6). Let j(v) = -7*v - 19. Let s(q) = -11*q - 29. Let f(r) = x*j(r) + 5*s(r). Give f(-7).
0
Let g(l) be the second derivative of l**5/20 - 2*l**4/3 - l**3/2 + 3*l**2 - l - 2184. Calculate g(9).
60
Let j(y) = 1542244*y**2 - 1542257*y**2 - 39*y - 21 - y**3 + 0*y**3. Give j(-9).
6
Let t(s) = -3*s**2 + 22*s + 13. Let x = 3033 + -3025. Determine t(x).
-3
Let t(r) be the third derivative of r**5/60 + r**4/24 - r**3/3 + r**2. Let j be (-6 - -2 - (-65)/10)*30/(-25). Calculate t(j).
4
Let s(h) = h. Let n = -154 - -162. Suppose -32 = 4*a - n. Calculate s(a).
-6
Let d(v) be the first derivative of -v**3/3 - 10*v**2 - 54*v + 8449. Give d(-17).
-3
Let m(s) = s**3 + 36*s - 230*s + 30 + 14*s**2 + 49 + 184*s. Give m(-15).
4
Let g(q) = 2*q**3 + 25*q**2 - 2*q - 26. Let w(s) = s**3 + 12*s**2 - s - 13. Let c(h) = 2*g(h) - 5*w(h). Let t = -492 - -482. Determine c(t).
3
Let j(v) = v**3 - 17*v**2 - 17*v - 27. Let z be j(18). Let s(f) = -3*f + 12. Determine s(z).
39
Let o = -4 - 9. Let h(c) = -4*c**2 - 3*c + 8. Let x(d) = 9*d**2 + 6*d - 17. Let b(p) = o*h(p) - 6*x(p). Determine b(-3).
-29
Let b(j) = -3*j**3 - 4*j**2 - 2*j. Let h(g) = 4*g**3 + 4*g**2 + 2*g. Let n(c) = 5*b(c) + 4*h(c). Suppose 2*x - 8 = 2. Calculate n(x).
15
Let c(w) be the second derivative of w**5/20 - 7*w**4/6 - 17*w**3/6 + 2*w**2 - 1342*w. Give c(15).
-26
Let r be -3*((-9)/(-15) + 32/(-20)). Let m(f) = -8*f - 7. What is m(r)?
-31
Let i(k) = k**3 + 11*k**2 + 5*k + 5. Let d be i(-6). Suppose 4*x = d + 41. Let s(h) = h**3 - h**2 - 95 + h + x + 48. Determine s(0).
2
Let j(l) = -8*l**3 + 40*l**2 - 55*l - 23. Let i(m) = -3*m**3 + 14*m**2 - 19*m - 9. Let w(f) = -11*i(f) + 4*j(f). Calculate w(-7).
35
Let j(s) = -3*s**2 + 23*s + 222. Let q be j(12). Let p(f) = 3*f**2 - 196*f - 131. Calculate p(q).
1
Let y(v) = 43*v**2 + 38*v + 9. Let a(b) = -47*b**2 - 39*b - 10. Let s(c) = 9*a(c) + 10*y(c). What is s(-4)?
-4
Let u(m) = m**3 + 5*m**2 - 9*m - 17. Let s(d) = -d**3 - 55*d**2 + 182*d + 3871. Let g be s(-57). Calculate u(g).
28
Let z(y) = 83*y**2 - 81*y**2 + 3 - 1 + y - 3. Let w(k) = -3*k**2 + 6*k + 4. Let u(p) = w(p) + 2*z(p). Give u(-7).
-5
Suppose -24*c = -871 + 79. Let o(j) = 6*j + 14 + j**3 + 15 - 3*j - c + 5*j**2. Give o(-3).
5
Let m(d) = -d + 1. Let o(i) = -i**2 - 2*i. Let y(n) = 5*m(n) + o(n). Let x = 539 + -522. Suppose x*t = -18*t - 245. Give y(t).
5
Let h be (4 + -5 + 2)*1*-23. Let l = h - -27. Let k be (-3)/(l - 33/6). Let p(q) = 2*q**2 + 1. Determi | {
"pile_set_name": "DM Mathematics"
} |
et a(z) = z**3 - 8*z**2 - 8*z - 5. Let l be a(9). Suppose -o + l = -i + 4*i, 5*o = -4*i - 2. Let k be ((-2)/16)/((-3)/52). Which is smaller: i or k?
i
Let v = 23/11 - -31/143. Let s = v - 304/143. Is 5 smaller than s?
False
Let v be 14/(-63) + (1037/9 - 1). Let z = 56 - v. Let p = 58 + z. Is p smaller than 5/6?
True
Let f = 33/31 - 621/496. Suppose -4*z - 85 = 5*g - 0*g, 2*g - 4*z = -62. Let n be 0*(3/30 + g/(-90)). Do n and f have the same value?
False
Let c(h) = h**2 - 14*h - 74. Let x be c(18). Let u = 0.5 + -1. Let r = -1.3 - u. Is x < r?
True
Let z be 3/(-96)*(-2)/(-10). Suppose -4*u + 5*f = -34, f = -u - 4*f - 29. Which is greater: u or z?
u
Let f = 292 - 175. Suppose 6*i + 3*i + f = 0. Let c(n) = -2*n - 14. Let x be c(0). Do i and x have the same value?
False
Let t be (80/(-210))/((224/(-12))/4). Let h = -19 - -19. Suppose w + 3 = 3*f + 2*f, 4*f - 5*w + 6 = h. Which is smaller: t or f?
t
Let u = 2795 + -2824. Which is greater: u or 89?
89
Let l = -5/773 + 32023/51018. Is l > 1?
False
Let b(i) be the first derivative of 5*i**2/2 - 22*i + 33. Let g be b(9). Let p = -56 + 80. Is p equal to g?
False
Let u = -223164 - -14952872/67. Which is greater: 14 or u?
14
Let i(g) = g**2 - g - 8. Let t be i(4). Let n be 175/637 - ((-36)/(-21))/t. Let z(p) = -p**2 + p + 1. Let u be z(2). Is n at most as big as u?
False
Let g(p) = p**3 - 51*p**2 + 108*p + 329. Let b be g(46). Is b > -5283?
False
Let h = 3 - 6.2. Let k = -6 + 12. Let z be 3/k + (-2)/4. Which is bigger: z or h?
z
Let v(w) = w**3 + 5*w**2 - w - 3. Suppose 3*z - 2 + 17 = 0. Let m be v(z). Let r be 4*3/570*(-12 + m). Which is smaller: r or 1?
r
Let v be ((-4)/(-14))/((-260)/28). Let x = v + -76/1755. Is x equal to 0?
False
Let p = 3.006 + -3.23. Let f = p + 0.414. Is -2 bigger than f?
False
Let r be 2*((1 - 4) + -1)/(-1). Suppose -9*a = -r*a + 3. Let j be (-6)/(-126)*3*a. Is j at least 0.3?
False
Let h = -35 + 40. Let v = 52 + -58. Let n = v + h. Which is smaller: n or 2?
n
Suppose 5*r + 28*f = 25*f + 1032, -3*f = 4*r - 822. Is r smaller than 1056/5?
True
Let a = 10933 - 10940. Is 3/10 smaller than a?
False
Let i = -17150/25908303 + 4/4091. Is i at least -2/3?
True
Let h(o) = -5*o**2 - 142*o - 528. Let q be h(-24). Let d = 392 - 19991/51. Is q >= d?
False
Let h = 35 - 68. Let v = h + 31.5. Let d = -2.5 - v. Is -8/5 bigger than d?
False
Suppose l = -4*q + 58, -2*q - 4*l + 52 = 2*q. Let y = 3852 + -3841. Is y smaller than q?
True
Suppose 3*j + 2*j + 65 = -4*n, 3*j + 55 = -4*n. Let w be n/(-12) - (-1 - (-132)/72). Is -2/593 smaller than w?
True
Let k(d) = d**2 - 7*d + 6. Let x be k(6). Let j be (-15 - (-8 + -6))*(168/4572)/7. Which is smaller: j or x?
j
Let h = 7261/17 + -427. Suppose 5*g - 4*m + 7 = -0*m, 3*g - 3*m + 6 = 0. Is g greater than h?
True
Let d be (5/(-2) + 0)/(1420/(-4544)). Suppose 4*t - 1056 = -4*o, 5*o = d*o - t - 796. Is 266 less than or equal to o?
False
Let g(i) = 10*i**3 + 5*i**2 - 5*i + 9. Let v be g(2). Is v at most 99?
True
Suppose -193*a = -181*a - 228. Suppose a*d = 25*d + 216. Which is smaller: d or 2?
d
Let f = 6.906 - 5.91. Let p = 0.096 - f. Which is bigger: -0.4 or p?
-0.4
Let z = -89.21 - -87. Let x = z - -3.2. Is x >= -2/3?
True
Let c = -4581 - -4609. Is -1.6 at most as big as c?
True
Let j = 0.0229 + 147.9771. Let x = j - 148.12. Are 5 and x non-equal?
True
Suppose 3*z = -3*g - z + 28, 5*g - 2*z = 38. Suppose 7*t - g*t = -28. Let f be (-45)/(-231) - (36/t - 1). Which is smaller: f or 1?
f
Let v(i) = 3*i**2 - 14*i + 7. Let y be v(6). Let r = y + -19. Let k(q) = -2*q**3 + 28*q**2 - 25*q + 1. Let g be k(13). Which is smaller: r or g?
r
Suppose 0 = 5*z - 4*z + 3*m - 10, 2*m = -5*z + 89. Suppose -3*y + z*y - 608 = 0. Which is greater: 40 or y?
40
Let l = 625/144 - 1/144. Suppose 2*b + 10 = 0, 0 = -3*d + 2*b + 3*b - 200. Let t be 6/d + (-612)/(-150). Is t greater than l?
False
Suppose 5*y - 8*y = 5*i - 292, 0 = 4*i + 2*y - 234. Let v(p) = -9*p - 16. Let u(j) = 9*j + 17. Let q(b) = -6*u(b) - 5*v(b). Let a be q(-9). Is a smaller than i?
False
Let s = 207.1505 + 18.8235. Let j = s - -0.026. Is j >= 2?
True
Let l = 22 + -17. Suppose -23 = -j + o, 0*j - l*j - o = -91. Let d(a) = -13*a - 7. Let h be d(-2). Is j equal to h?
True
Let j = -1088968 - -9813748/9. Is 1447 bigger than j?
False
Let i(q) = 17*q - 817. Let f be i(70). Which is bigger: f or 370?
f
Let c = -12565 - -12616. Which is bigger: -0.07 or c?
c
Let l be 2 - (28 + -16)*(-135)/168. Are 11 and l equal?
False
Let k be 0*(1/6)/(119/(-357)). Is -12530 less than k?
True
Let y be 6 - -2*-6*4/(-16). Let h be (-12)/y*(-18)/8. Is 14 greater than or equal to h?
True
Let z = 11 - 8. Suppose -4*y + 5*c = 53, z*c = -2*y - 7 - 14. Let n = 149 + -162. Is n > y?
False
Suppose 6*z - 25 = z, 0 = j - z + 10. Let n(x) = x**3 + x**2 - 7*x - 23. Let s be n(j). Is s at least as big as -87?
False
Let w = -23313 + 46629/2. Is w > 767?
False
Let x = -37/105 - -52/105. Is x != 326?
True
Let b be (-1 + -1 + (-621375)/(-310725))/((-2)/12). Which is bigger: -23 or b?
b
Suppose -3*p = z - 13, -2*z + 5 + 3 = 0. Suppose -i - 3 = 2*o + 1, -p*o - 6 = -3*i. Let l = 16/27 + -161/135. Is l at least i?
False
Let i be (-24)/204*2991 - 1*(-6 + 0). Is i smaller than -347?
False
Suppose 2*c - 5*p - 640 = -613, -2*p - 10 = 0. Is -2/22479 > c?
False
Let o = 140 + -134. Suppose -2*q + o + 39 = -5*n, 4*q - 41 = 3*n. Let d be -1 - (6 + n)/(2/2). Which is smaller: -1/6 or d?
-1/6
Let t(j) = -j**3 - 10*j**2 - 12*j - 11. Suppose 4*i + 47 = -3*s, 0*i + 5*s = 4*i + 7. Let z be t(i). Let r = z + 51. Does r = 64/7?
False
Suppose 291 = 2*n + 1411. Let k = -577 - n. Is k less than -14?
True
Suppose -21*o = -19*o + 11*k + 2083, 0 = -o - 2*k - 1059. Which is smaller: o or -1070?
-1070
Let f = 129 - 131. Let y(h) = h**2 - h - 3. Let g be y(f). Which is bigger: g or 11/5?
g
Let l = -353 + 352. Let u be 5/l - (-3)/(120/206). Which is bigger: 0 or u?
u
Let v be (98/(-21) + 5)/((-1)/795). Let k = v + 262. Which is greater: 1/3 or k?
1/3
Let i be (-15)/4*(-32)/(-48)*22/5. Suppose -q = 5*j + 3, 4*j - 3 = j. Do i and q have the same value?
False
Let c = -243 + 231. Let k be 3*c/18 - -296. Which is bigger: 295 or k?
295
Let q = 0.142 - -87.858. Let t = -72 + q. Let n = 23 - 23. Which is bigger: t or n?
t
Let g be 12/(-18)*6/(-142). Let s(o) = -25 - 2 + 4*o + 3 + 0*o. Let b be s(6). Which is bigger: g or b?
g
Let k = 4474 - 22367/5. Suppose -3*q + 5*q = 0. Suppose q*h - 4*h = 2*x, 4*x + 11 = 3*h. Is k at least as big as h?
False
Let d be 1110/(-75) + 14 - -1*6603/35. Which is smaller: d or 188?
d
Let n(t) = t**2 - 7*t - 26. Let h be n(10). Suppose -z + 5 = h*z. Let k = 25759/31 - 831. Which is greater: z or k?
z
Suppose 128*u - 1869 = 139*u - 4*t, 4*u = 3*t - 675. Is -24 at least as big as u?
True
Let d be 126/14 + -281 - -15. Which is smaller: -4 or d?
d
Let f = -3 + 1. Let t = -35 + 37.1. Let m = t + f. Which is bigger: m or -6/23?
m
Suppose -z - p = -100, 2*z + 2*p + p = 200. Let s = z - 120. Is s less than -2?
True
Suppose -n + 4 = o - 0*n, 0 = 5*o + 4*n - 15. Is -4/959 at least as big as o?
True
Let b(l) = -l**3 - 3*l**2 - 24*l - 167. Let d be b(-5). Which is smaller: 286 or d?
d
Let f be (-4)/60*3 - (-7 + 204/30). Is f >= 2/2395?
False
Let p = 6840 + -6843. Which is greater: p or 1.161?
1.161
Let t(i) = -2057*i**3 - 13*i**2 + 16*i - 2. Let r be t(1). Is r not equal to -2057?
True
Let m = 15168 + -14539.3. Let u = m - 629. Is u > 13?
False
Let m = -47 + 613/13. Let g(v) = -9*v - 25. Let u(y) = -17*y - 51. Let o(c) = -7*g(c) + 4*u(c). Let r be o(-6). Is r equal to m?
False
Suppose 5*s - 20 + 25 = -p, 4*p + 20 = 5*s. Suppose s*k = -k. Do k and 73 have the same value?
False
Let z be 2 + 3/(-6)*-2. Suppose 10*q + 567 = 31*q. Which is bigger: z or q?
q
Let b be (-44)/(-40) - (-6)/15. Let g be (2 - (-7)/(-2))*(-12)/(-18). Let j be 84/208 + g/4*1. Which is smaller: j or b?
j
Let b be 92/(4/(-1)) + (-9)/(-3). Let j = 21 + b. Let i be (-2 + (-30)/(-4))/(j/(-6)). Which is greater: i or -31?
-31
Suppose -3*z = -2*x + z - 36, 2*z + 78 = -3*x. Let k be (33/6 - 1)*(-16)/x. Do -0.131 and k have different values?
True
Let v be (-180)/(-25)*10/(-21). Suppose -4*l - 43 = 5*w - 11, -w = -3*l - 5. Are v and l equal?
False
Let g be (12/(-9))/((-2)/3). Suppose 3*w = -g*i + 3, 0 = -3*w - 0*w + | {
"pile_set_name": "DM Mathematics"
} |
- 5 + 4*g**4)*(-342 - 255 - 6) to the form r*g + b + s*g**2 + z*g**4 + n*g**3 and give z.
-2411
Rearrange -9 + 24*b**2 - 653*b**3 + 362*b**3 + 290*b**3 to the form z*b + i + k*b**2 + y*b**3 and give k.
24
Express 23*o**3 + 73*o**2 - 45 + 43 - 75*o**2 - 4*o + o in the form k + h*o + x*o**3 + j*o**2 and give j.
-2
Rearrange -17614 + 35222 - 17610 + 2*g - 65*g**3 + 484*g**3 to q*g**3 + t + w*g + p*g**2 and give w.
2
Rearrange (s + s + 0*s)*(-4 + 3 - 1)*(-12*s + 6*s - 7*s + (-s + s - s)*(0 + 2 - 3) + 3*s - 5*s + 0*s - 45*s + 192*s + 29*s) to x*s + g*s**2 + t and give g.
-648
Express -17*q**3 - q**4 - 257 + 259 + 20*q**3 in the form h*q**4 + g*q + p*q**2 + w + j*q**3 and give j.
3
Rearrange -1 + 158*y - 2881*y + 1 - 1027*y to r*y + n and give r.
-3750
Rearrange 6 + 253*h + 227*h + h**3 - 462*h - 2*h**2 to the form i + m*h**3 + b*h**2 + k*h and give m.
1
Rearrange -l**2 - 3*l - 18 - 2*l**4 + 4*l + l + 4*l**4 - 8*l**2 to the form v*l**2 + a*l + y*l**4 + d*l**3 + p and give y.
2
Express (g - g - g)*(-19 + 36 + 7 + (-3 + 2 + 2)*(-6 + 5 + 11))*(0 + 0 - 14) in the form p + z*g and give z.
476
Rearrange 3074*w - 52*w**3 - 3090*w + 4 - 3 - w**4 to the form c*w + a*w**3 + j + l*w**4 + z*w**2 and give j.
1
Rearrange 21*w - 11*w**3 + 2*w + 2 - 11*w**2 - 18*w to the form i*w + b*w**3 + z + u*w**2 and give i.
5
Express (-10 + 6 + 3 - 6026*y - 2485*y + 1)*(0 + 2 + 4) as k*y + b and give k.
-51066
Rearrange 305*k - 836*k - 681*k - 628*k - 109*k to m*k + z and give m.
-1949
Express (5 - 2 + 0)*(4*n + 9*n - 2*n)*(-112 - 51 - 7 - 7 - 118) as y*n + o and give y.
-9735
Rearrange (2 + 0 - 7)*(-2 + 3 + 0)*((h - 3*h + 3*h)*(-6 + 2 + 2) + (0 + h + 0)*(1 + 35 + 28)*(3 - 1 + 0)) to the form m*h + u and give m.
-630
Express 1936*k - 4616*k - 2916*k - 4504*k as i*k + l and give i.
-10100
Express 360*g**2 + 1196433 + 1285*g**2 - 1196433 as m*g + q + p*g**2 and give p.
1645
Rearrange 0 - 2 + 3*x**2 + 0*x**2 + (1 + 1 + 0)*(72*x**2 + 60*x**2 - 44*x**2) + 5*x - 5*x - 44*x**2 to the form t*x**2 + g*x + p and give p.
-2
Rearrange -17*l + 22*l**4 + 10 + 53*l**3 - 125*l**3 + 5*l + 70*l**3 + 11*l to the form k*l**3 + a + d*l + m*l**4 + y*l**2 and give m.
22
Express (0 + 3 - 2 + (-2 + 2 - 2)*(-6 + 3 + 4) - 5 + 0 - 12)*(4943 - 139*b - 4943) in the form u*b + n and give u.
2502
Rearrange -50806*a**2 + 50803*a**2 + 7 - 47*a**3 + 131*a**3 to the form i*a + p + z*a**3 + v*a**2 and give v.
-3
Rearrange (-8*x + 198 + 9*x + 69)*(0*x - 7*x + x) to the form r*x + z + l*x**2 and give l.
-6
Rearrange 8*p**3 + 109 - 39 - 39 - 33 - 23*p**2 to w*p + s + y*p**2 + c*p**3 and give s.
-2
Rearrange (3 - 1 - 3)*(-2 + 2 + 2)*(-16 + 7 - 3)*(124*m - 1047 + 1047) to b + c*m and give c.
2976
Rearrange 2263*h - 1725*h + 3722*h to b + j*h and give j.
4260
Express 2 + 214*m**2 + 86*m**2 + 147*m**2 + m + 57*m**2 + 8*m**2 in the form j*m + b*m**2 + c and give c.
2
Rearrange (-3*g**3 + 3*g**3 - g**3)*(22 + 7 + 33 + (3 - 6 - 15)*(6 - 3 - 4)) to the form h + x*g + k*g**3 + a*g**2 and give k.
-80
Express -6*s + 9*s**2 + 113 - 226 + 115 - 13*s**3 as w*s**2 + o + l*s + t*s**3 and give o.
2
Rearrange -3*w**2 - 124*w + 72*w - 13*w**2 + 7 + 54*w to the form t + o*w**2 + f*w and give t.
7
Rearrange 256 + 324 - 584 + 2*d**3 + 3*d**4 - 2*d**2 + 51*d to the form r*d + p + q*d**4 + o*d**2 + h*d**3 and give r.
51
Express -19270 + 2439*z**3 - 6479*z**3 + 19271 in the form a + c*z + y*z**3 + f*z**2 and give a.
1
Rearrange -5*p**3 + 7*p**3 - 304*p**2 + 615*p**2 - 5 - 314*p**2 to t*p + g*p**3 + u*p**2 + c and give g.
2
Rearrange (0 + 2 - 4)*(-11*f + 16*f + 10*f)*(-6 + 0 + 3)*(2*f - 3*f + 0*f) to d*f**2 + z + w*f and give z.
0
Rearrange 1 - 199*j - 220*j - 11*j**2 + 420*j - 9*j**4 to w*j**2 + v*j + y*j**4 + l + d*j**3 and give w.
-11
Rearrange (-2*m**2 + 0*m**2 + 4*m**2)*(-202*m**2 - 217 + 217) - 98*m**4 - 73*m**4 + 147*m**4 to i*m + g*m**3 + j*m**2 + b*m**4 + q and give b.
-428
Rearrange 85*x**2 - 125 - 83*x**2 + 2*x - 2*x**3 + 45 + 2*x**3 + 4*x**3 to the form y*x**3 + p*x + v*x**2 + i and give i.
-80
Rearrange (2 - 1 + 1)*(-i**2 - 3*i**2 + 5*i**2)*(-1927 + 8528 + 334) to a*i + r*i**2 + h and give h.
0
Rearrange (-12 + 12 - 4*h)*(1 - 5 + 2)*(4*h + 0*h - 2*h)*(-40*h - 13*h - 12*h) to g*h + k + r*h**2 + t*h**3 and give t.
-1040
Rearrange 67 - 22 - 22 - 19 - 433*n**2 - 22 to the form o + s*n**2 + f*n and give s.
-433
Express -4*y + 7*y**3 - 9*y**3 + 7*y**2 - y**3 + 9*y**3 - 2*y**3 - 5 as z + q*y**2 + v*y + b*y**3 and give q.
7
Rearrange 2*v**2 + 36 - 41 - 521*v**4 - 2*v + 452*v**4 to the form i*v + j*v**3 + z*v**2 + f*v**4 + a and give z.
2
Rearrange (3*o - 4*o - o)*(-1 + o + 1) - 1968*o**2 + 796*o**2 - 1397*o**2 to a + v*o**2 + z*o and give v.
-2571
Rearrange (t + 0*t + t)*(3 - 2 + 1) + (-2902*t - 1703*t - 629*t)*(3 - 3 + 1) to i + n*t and give n.
-5230
Express -13*l + 27*l + 26*l + 0*l in the form t + y*l and give y.
40
Express 16284150*y - 1 + 1 - 16272171*y in the form k*y + o and give k.
11979
Rearrange 47 - 26*r + r**3 + 129*r**4 + 135*r**4 - 309*r**4 + 26*r - r**2 to the form a*r**2 + y + g*r**4 + n*r**3 + v*r and give g.
-45
Rearrange (-2*t + 6*t - 3*t)*(t**2 - t**2 + 2*t**2) - 405*t**2 + 203*t**2 + 2112 + 2*t**3 + 200*t**2 to the form w*t + x*t**2 + n + g*t**3 and give x.
-2
Express (3 - 1 - 1)*(3 - 3 + 18*h)*(44 - 11 - 5)*(0 - 4 + 5)*(-h**2 + 5*h**3 + h**2) as y*h**4 + j + n*h + z*h**3 + i*h**2 and give y.
2520
Rearrange 87*d**4 - 97*d**4 - 1385 - d**3 + 1383 - 5*d to i*d + l + a*d**2 + u*d**3 + b*d**4 and give l.
-2
Rearrange 719 - 145 - 6*q - 180 - 3*q**2 + 1 + 380 to c*q**2 + g + d*q and give g.
775
Express 3*v - 12*v - 27*v + (-2*v - v + 5*v)*(-1 - 2 + 6) - v + 4*v - 4*v + (-4*v + 0*v + 2*v)*(-1 - 4 + 4) in the form q*v + c and give q.
-29
Rearrange (-2 + 3 - 3)*(-2*r + 5*r + 4*r - 2*r + 3*r - 4*r + (-1 + 3 + 1)*(12*r + 5*r - 2*r)) to the form a*r + z and give a.
-98
Express 2 - 3 + 23281*l + 1 - 22919*l as s + t*l and give t.
362
Express (3 - l - 3)*(3*l - l + l) + 18*l**2 - 10*l**2 + 3*l**2 + 2*l**2 + l**2 + 0*l**2 as m*l**2 + a*l + s and give m.
11
Express 6 + 2*q**4 + 2*q + 0 - 93*q**2 + 5*q**3 + 94*q**2 + 25*q**2 as p*q + u*q**3 + a*q**4 + d*q**2 + g and give g.
6
Rearrange -451*h**2 - 5 + 4*h + 25*h - 25*h - 5*h to v + n*h + y*h**2 and give n.
-1
Express (f + 2*f - f)*(235*f + 394*f - 1058*f) + (-3 + f + 3)*(5*f - 3*f - 3*f) in the form o + a*f + r*f**2 and give a.
0
Express -19*k + 2*k + 3*k - k + 0*k + 0*k + (-1 + 0 + 3)*(-3 + k + 3) + k + 0*k - 3*k + 941*k - 289*k - 500*k as f*k + c and give f.
137
Express 5 - 6635*i + 6638*i + 2632*i**2 - 5 in the form r*i + f + y*i**2 and give y.
2632
Rearrange (0*w - 4*w**2 + 0*w)*(-3 + 1 + 3)*(1196 + 1147 - 2449 + 2*w) to k + n*w**2 + j*w + i*w**3 and give n.
424
Express -9*y + 2*y**3 + 9*y + (2 - 2 + 3*y**2)*(2*y - 3*y + 0*y + (-y + 4*y - y)*(-3 + 5 + 1)) as l*y**3 + q*y + f + u*y**2 and give l.
17
Express (-1100 + 1100 + 2*x)*(2*x - 4*x - x)*(-2*x + 4*x - x) in the form c*x**2 + i*x**3 + t + h*x and give i.
-6
Rearrange -26826*l + 57297*l - 28449*l to the form i + f*l and give f.
2022
Express (-12*r + 9*r + 1 + 21)*(-3 + 5 + 2*r**2 + r**2) in the form d*r**3 + x*r**2 + k + j*r and give j.
-6
Rearrange (-297 + 12*r + 297)*(0 + 6 - 4) - 8 + 164*r - 13 + 20 to j + n*r and give j.
-1
Rearrange (1272 - 312*p - 1272)*(-4*p**3 - 8*p**3 - p**3) - 2*p**3 - p**4 + 2*p**3 to the form a*p**4 + f*p + s + v*p**3 + n*p**2 and give a.
4055
Rearrange -259*f**2 - 305*f**3 + 437*f**3 - 4 - 133*f**3 to the form q*f + a*f**2 + t*f**3 + b and give b.
-4
Express 2670 + 6*i**3 - 17*i**3 - 2666 + 6*i**4 + (3*i**2 + 2 - 2)*(-4*i**2 + 7*i**2 + i**2) as l + c*i**2 + s*i**4 + o*i + q*i**3 and give s.
18
Rearrange (-3*x + 6*x - x)*(-5 + 532 - 317 + 492) to y*x + j and give y.
1404
Rearrange -6 + 32121*f + 32162*f + f**2 - 64374*f to the form d*f + k*f**2 + y and give d.
-91
Rearrange (-26 + 41 - 31)*((-2 + 0 + 4)*(6 - 2 - 1) + 4 - 3 + 4)*(-2 + 2 + 2*g) to the form x + s*g and give s.
-352
Express -22*k**2 + k - 21*k**2 + 6 - 15*k**2 - 9 + 11 in the form l*k + v + h*k**2 and give h.
-58
Rearrange -2 - 3638*a**2 + 292*a**3 - 4*a - 3652*a**2 + 13*a + 7288*a**2 to the form o*a + q*a**2 + k*a**3 + n and give k.
292
Express (-24 + 41 + 11)*(-51*k + 30*k + 309*k) as b + u*k and give u.
8064
Rearrange -3448* | {
"pile_set_name": "DM Mathematics"
} |
5474. Is c prime?
False
Suppose 5*j + 3*c = 21373, -5*c - 706 - 12145 = -3*j. Suppose 5*r + 952 - j = 0. Let o = -474 + r. Is o prime?
True
Is (-40)/120*(-1 + 632/(-1)) composite?
False
Let z(v) = 4*v**2 - 2*v - 3. Let d be z(-1). Is 526/d*(-6)/(-4) a prime number?
True
Suppose 0 = -5*d - q + 14, 3*d + 4*q - 16 = 6. Suppose -2*l = -3*l + d. Suppose 5*x - 32 = -3*u + 245, -5*u - l*x = -449. Is u a composite number?
False
Suppose -4*m + 3091 = -2505. Is m a composite number?
False
Suppose -30208 = -2*s - 2*x, 0 = 7*s - 5*s - 3*x - 30193. Is s a composite number?
False
Let d be 3 + 21 + -3 - -3. Suppose -10*l + d = -6*l. Is (-8)/l + (-121)/(-3) composite?
True
Let c be 1 + (-9)/(-3) + 2237. Suppose -3*y - 4*b = -c, -5*y + 2095 + 1654 = 2*b. Is y a prime number?
True
Suppose -4 = q + 3. Let k(i) = -i**3 - 7*i**2 - 2*i + 4. Let a be k(q). Let y = 40 + a. Is y composite?
True
Let s(h) = -h**3 + 6*h**2 - 5*h + 6. Let n be s(4). Suppose -r - 64 = n. Let i = r - -317. Is i a composite number?
True
Is ((-3)/(18/2253))/((-33)/66) a prime number?
True
Suppose -62*w = -63*w + 1481. Is w prime?
True
Let g = -278 - -531. Let b = g + -138. Is b a prime number?
False
Suppose -5*l + s + 35 = 10, 15 = 3*l + 3*s. Let q be (4/(-2))/((-4)/362). Suppose -l*j + 174 = -q. Is j a composite number?
False
Suppose -8*n + 341515 = 19227. Is n a prime number?
False
Is (1 + (0 - 143))/((-76)/266) a prime number?
False
Is 1703 + (0 + -1)/(4/(-24)) a composite number?
False
Let f be (-1)/((-6)/16082) + 4/6. Let m = f + -1884. Is m prime?
True
Suppose 4*g = 15 + 1. Suppose -g*w + 105 = -9*w. Is 7/w - 308/(-6) prime?
False
Let f(a) = 6*a**2 - 4*a - 3. Let r be (-3)/4 + (-14)/(-8). Let p be 3*r + -16 + 8. Is f(p) prime?
True
Let p = -263 - -2236. Suppose 0*z = 4*b - 5*z - p, z = 5*b - 2440. Is b a prime number?
True
Let a = 66 - 69. Is 0 - a/((-15)/(-670)) a composite number?
True
Is (14/56*-4)/(2/(-103102)) a composite number?
False
Let g(h) be the second derivative of -h**5/20 - h**4 - 4*h**3/3 - 17*h**2/2 + 2*h. Is g(-12) prime?
True
Let i be (-2)/(-9) - 3164/(-18). Suppose -5*f - 4*s = -92, 4*f - 20*s - 52 = -16*s. Suppose 57 = 2*h + 5*b, -5*h + i - f = -5*b. Is h prime?
True
Let c be 10/2 + (-2)/(-6)*-3. Suppose -4*r = -c*s + 127 + 549, -5*s + 845 = -4*r. Is s prime?
False
Let l be 1/((-12)/(-8))*6. Suppose l*o - 19 + 3 = 0. Suppose 4*u = 0, -4*t + 3*t = -o*u - 161. Is t prime?
False
Let h(c) = 3*c**3 + 5*c**2 + 5*c - 41. Let b(m) = m**3 + 2*m**2 + 2*m - 21. Suppose 0 = 3*r - r - 4. Let q(a) = r*h(a) - 5*b(a). Is q(0) a prime number?
True
Suppose -3*i + 2961 = i + b, 4*i = -3*b + 2963. Let n(t) = -418*t**3 + t**2. Let w be n(1). Let g = i + w. Is g a prime number?
False
Let b(z) = -32*z - 17. Let d be b(-8). Let t = d - 54. Is t composite?
True
Suppose -4*m + 159118 = 3*w, 5*w + 278855 - 79940 = 5*m. Is m prime?
False
Is (8/(-12))/((-2)/9258) prime?
False
Suppose 38340 = -2*g + 7*g + 2*m, m + 7661 = g. Is g a composite number?
True
Suppose 16*i + 8899 = 5*i. Is (-2)/(((-1)/i)/((-49)/14)) a prime number?
False
Let p(y) = -y**2 + 7*y - 8. Let z be p(4). Suppose -z*r = -4100 - 2472. Suppose 619 = 2*w + 5*h, 5*w + 3*h - r = -67. Is w a prime number?
True
Let c be (1*3)/(12/20). Suppose -c*v + 1 = -5*f - v, 3 = -3*f + 3*v. Suppose -f*w - w + x + 2958 = 0, 4*w - 2*x = 2960. Is w a composite number?
False
Let f(j) = j**3 + 3*j**2 + 2*j - 1. Let p be (-12 - -5)*1*-1. Is f(p) a prime number?
True
Is 2*1*1/2 - -6120 composite?
False
Let o = -22 + 26. Suppose -5*y + 6645 = o*f, -2341 = -2*f - y + 974. Is f composite?
True
Let o be 7473/(-6) + (-6)/(-12). Let j = -488 - o. Is j prime?
True
Suppose -o = 4*w - 42141 - 83092, 0 = 2*w - 5*o - 62589. Is w a composite number?
False
Let u(a) = 29*a**3 - 5*a**2 + 7*a - 11. Let q = 83 - 79. Is u(q) a prime number?
False
Let y(p) = 10*p**2. Let i = -5 + 3. Let z be 2 - (5 + (i - 0)). Is y(z) a prime number?
False
Suppose 2*u + 336 = -5*u. Let m = 15 + -8. Let b = m - u. Is b composite?
True
Let t = -7 + -2. Let w = t + 9. Suppose -n + 3*n - 62 = w. Is n prime?
True
Let r(u) = -u**3 - 25*u**2 + 73*u + 26. Is r(-37) a composite number?
True
Let o = -9736 + 19814. Is o a prime number?
False
Let l = -540 - -225. Let r = 1592 + l. Is r prime?
True
Let t be 1/(3/12*1). Is (t*(-2)/(-12))/(18/32211) prime?
True
Let h be ((-15)/(-12))/((-6)/(-864)). Let x be h/81 - 2/9. Is (5 - x)*55/3 a composite number?
True
Let r(b) = -8*b**2 + 14*b + 31. Let d(s) = -7*s**2 + 15*s + 30. Let v(u) = -6*d(u) + 5*r(u). Is v(-11) composite?
True
Suppose 0 = -11*k - 20 - 2. Is (27/(-6))/9 + (-2795)/k a prime number?
False
Let o(t) = t**2 - 16*t + 6. Let w be o(16). Suppose 3*f = -b + w*f + 164, 0 = 2*b - 5*f - 327. Is b composite?
True
Let t(u) = -8515*u - 57. Is t(-2) composite?
True
Suppose 16824 = -2*l + 10*l. Is l a composite number?
True
Let z(n) = 2*n - 11. Let w be z(4). Let r be -1 + w + -1 + 35. Let l = r - -161. Is l a composite number?
False
Let r(n) = -1488*n - 346. Is r(-19) a prime number?
False
Let q = 193758 - 134095. Is q composite?
False
Let z(p) = 4*p**2 - 16*p - 67. Is z(-29) a composite number?
False
Let x(z) = 2867*z**2 + 6*z - 9. Let i be x(-7). Is i/48 - 4/(-3) composite?
False
Suppose t + 4*g = -t - 36, -5*g + 72 = -2*t. Let j = 30 + t. Suppose -2*d = 3*l - j*l + 993, -4*l - 5*d = -3972. Is l composite?
True
Suppose -4*d - q + 167060 = 0, -41765 = 37*d - 38*d - 5*q. Is d prime?
False
Let x(f) = 2*f**3 - 4*f**2 + 3*f - 2. Let y be x(2). Is 2*-449*y/(-8) a prime number?
True
Let k(z) = -160*z**3 + 2*z + 1. Suppose 3*b = 2*y - 2 - 6, -3*y + b = -12. Suppose -2 + 6 = -y*n. Is k(n) a prime number?
False
Let r(h) = 714*h**3 - 5*h**2 + 14*h + 3. Is r(2) prime?
False
Suppose -587509 = -29*z - 14*z. Is z a prime number?
False
Let y be 3/9 + (-2)/6. Suppose -g + 381 = 4*u - 5*u, -5*g - 2*u + 1905 = y. Is g a prime number?
False
Let j = -69432 - -111311. Is j prime?
True
Let q(g) = -51*g + 140. Is q(-15) prime?
False
Let u(m) = 3*m**2 + 4*m - 8. Let o be u(-5). Suppose -46*d - 2 = -o*d. Suppose 1802 = d*r - 716. Is r a composite number?
False
Let g(v) = 10061*v - 74. Is g(3) prime?
True
Let g = -30 - -32. Suppose 0 = n + 4*h - 2*h - 369, 5*n - 1861 = -g*h. Is n a composite number?
False
Let w be (5/20*-6)/((-1)/1082). Suppose 13*y = 10*y + w. Is y a composite number?
False
Suppose -4*u + 30738 = 2*w, -5*u = -4*w - u + 61416. Is w composite?
False
Let z(t) = -t**3 + 38*t**2 + 30*t - 63. Is z(20) prime?
False
Let f be (-5 - -1)*(-15)/20. Suppose 2*p + 1 = f*p. Let w(i) = 22*i**3 + i**2. Is w(p) composite?
False
Let z(h) = 191*h - 5. Suppose -6*c = -11*c + 50. Let j be z(c). Suppose -4*r + r = -j. Is r prime?
False
Is 15/(1785/402628) + (-6)/14 a prime number?
False
Suppose -d + 804 + 731 = 0. Is d a prime number?
False
Suppose 0 = -5*w - 5*l + 9320, 5608 = 3*w + l - 2*l. Suppose -7*y + 5*y - w = 0. Is (-3)/(-15) - y/5 a prime number?
False
Let l be ((-2)/(-8))/((-1)/(-116)). Let d(f) = 30*f**2 + 2 + 4*f - 5 + 4 - l*f**2. Is d(-7) a composite number?
True
Let x = 1952 - 455. Is x a composite number?
True
Let s = 10 + -5. Let i(a) = -2 + 10*a + s*a + a - 1. Is i(5) a composite number?
True
Let a = 1124 - 639. Is a a prime number?
False
Is (-61 - (-1 - (3 - 2)))*-1 a composite number?
False
Let n(m) be the second derivative of m**5/20 - 3*m**4/4 + 11*m**3/6 + 4*m**2 + m. Let r be n(9). Let b = -72 + r. Is b a composite number?
True
Suppose -1417 = 4*d + 755. Let y be d*(-4)/12*1. Suppose 5*v = 2*s - 25 - 21, -5*s - 4*v + y = 0. Is s a prime number?
False
Let o = 4702 - 1748. Suppose 0 = -3*c + o + 1729. Is c composite?
True
Suppose 60 = -0*w - 5*w. Let c(r) = -6 - 7 - 14*r + 3. Is c(w) a prime number?
False
Let w = 8092 - 2993. Is w composite?
False
Let g(y) = -62*y - 37. Suppose 2*i = -0*p - 4*p - 2, 4 = -i + p. Is g(i) prime?
True
Let p = -4 - -9. Let z(u) = 29*u - 2. Let y be z(p). Let j = 286 - y. Is j a composite number?
True
Let i = -24173 + 49558. Is i a prime number?
False
Is 1*(342 - (1 - -6)) composite?
True
Let v = -34 - -38. Suppose v*m - 228 = 352. Is m a composite number?
True
Suppose -4*i + f = -141712, -5*f + 0*f - 141696 = -4*i. Is i a composite number?
True
Suppose j + 5 = w, 2*w + j - 7 = -0. Suppose 2*q - 2741 = -3*c, 3*q - 4567 = -c - w*c. | {
"pile_set_name": "DM Mathematics"
} |
in descending order.
582, 5, -0.4, -1, -2.2
Put -20, -8, -231 in descending order.
-8, -20, -231
Sort 1, -2, -1/2, -7/1128 in descending order.
1, -7/1128, -1/2, -2
Sort 320, 109, -10 in ascending order.
-10, 109, 320
Put -3, -4, 5, 8, 2, -65 in increasing order.
-65, -4, -3, 2, 5, 8
Sort -2/9, -0.3, 3, -0.659, -2/25 in increasing order.
-0.659, -0.3, -2/9, -2/25, 3
Sort 3, 1, -0.1, 189, -4, -0.02.
-4, -0.1, -0.02, 1, 3, 189
Sort 71, 2/11, 14, -4.
-4, 2/11, 14, 71
Put -16, -707, -19, -2 in descending order.
-2, -16, -19, -707
Sort 0.001, 3, 1148 in descending order.
1148, 3, 0.001
Sort 2, -5, -55, 1 in increasing order.
-55, -5, 1, 2
Put 1/2, -1606, -0.4, -2/3 in decreasing order.
1/2, -0.4, -2/3, -1606
Sort -63, 2, -23, 0.
-63, -23, 0, 2
Put -1.26, 4, 15/38 in ascending order.
-1.26, 15/38, 4
Put -2, 2/7, 387, 1/5 in descending order.
387, 2/7, 1/5, -2
Put -0.7, 1/20, -31/2, 0 in increasing order.
-31/2, -0.7, 0, 1/20
Sort -91, 911, -5 in descending order.
911, -5, -91
Sort 22, -30, 31 in ascending order.
-30, 22, 31
Sort 5, -3, -88/9, 20, -2/13.
-88/9, -3, -2/13, 5, 20
Put 0.02, -111/5, 55 in increasing order.
-111/5, 0.02, 55
Put 4, -4, 20.14, 2/9, 1/2, -1/2 in decreasing order.
20.14, 4, 1/2, 2/9, -1/2, -4
Put 0, -4, 134, 2 in decreasing order.
134, 2, 0, -4
Put 0, 2, 75, 4, -66 in ascending order.
-66, 0, 2, 4, 75
Sort 2, -27, 62, -5.
-27, -5, 2, 62
Sort -1/7, -1/2, 3/10, 17, 3, -70.3.
-70.3, -1/2, -1/7, 3/10, 3, 17
Put -51, 2/21, 3/20 in increasing order.
-51, 2/21, 3/20
Sort 27, -5, 206, -1, -2.
-5, -2, -1, 27, 206
Put -5, 27, 1, -323 in increasing order.
-323, -5, 1, 27
Put -513, 16, 5, -5, 0 in decreasing order.
16, 5, 0, -5, -513
Sort 138, -2, 4, 5, -5 in increasing order.
-5, -2, 4, 5, 138
Put 0.2, 63, -0.11, -2/13, -0.7 in decreasing order.
63, 0.2, -0.11, -2/13, -0.7
Sort -57, -12, -1368 in decreasing order.
-12, -57, -1368
Sort 0.13, 5, 6603 in decreasing order.
6603, 5, 0.13
Put 10, -7, 3, 4, -1 in ascending order.
-7, -1, 3, 4, 10
Put 2/9, -5893, -5/4 in decreasing order.
2/9, -5/4, -5893
Put 366, 2, -21 in ascending order.
-21, 2, 366
Sort 8, 32, 385, 0.3 in decreasing order.
385, 32, 8, 0.3
Put 10, 5, 11, 2, -4 in descending order.
11, 10, 5, 2, -4
Sort -2/3, 12, 667/3, 1 in ascending order.
-2/3, 1, 12, 667/3
Sort -18, 0.1, -2/19, 28, 2/9 in ascending order.
-18, -2/19, 0.1, 2/9, 28
Put 0, -101, -1, -59 in ascending order.
-101, -59, -1, 0
Put 7, -0.13, -103, 2, -0.4 in decreasing order.
7, 2, -0.13, -0.4, -103
Put 6075, -0.5, 0.4, -2/27 in descending order.
6075, 0.4, -2/27, -0.5
Sort 5, 2, -5, 70, 0, 147 in decreasing order.
147, 70, 5, 2, 0, -5
Sort 7, 2/5, -280/839 in increasing order.
-280/839, 2/5, 7
Sort 0.2, 0, -1, -251, -1/2, 0.3.
-251, -1, -1/2, 0, 0.2, 0.3
Put 3, 1, 4, -2706, 2 in decreasing order.
4, 3, 2, 1, -2706
Sort 15, 1, -18, -1, 16, -5.
-18, -5, -1, 1, 15, 16
Sort 1, 5, -1, 3130, -3 in decreasing order.
3130, 5, 1, -1, -3
Put -1, -2, -0.2, -6/13 in increasing order.
-2, -1, -6/13, -0.2
Put 5, -1, 0, -2, 198, -6 in descending order.
198, 5, 0, -1, -2, -6
Sort -5, 4, 0.00535.
-5, 0.00535, 4
Sort -7, -2/15, -0.34, -5 in descending order.
-2/15, -0.34, -5, -7
Put 5, -4, 3, 13, -7 in ascending order.
-7, -4, 3, 5, 13
Sort -565, -3, -2/17, -7 in descending order.
-2/17, -3, -7, -565
Put -563, -13, 21 in descending order.
21, -13, -563
Sort -541, 1, 3, 0, -1 in decreasing order.
3, 1, 0, -1, -541
Sort -4, 1, -8/187 in ascending order.
-4, -8/187, 1
Sort 9, -3, -15, -42.
-42, -15, -3, 9
Put 4, 2/7, -32, -1.9, 2/9 in descending order.
4, 2/7, 2/9, -1.9, -32
Put -4, -3/20, 0, 53 in increasing order.
-4, -3/20, 0, 53
Put 4, 2, 4862, -1, 1, 0 in ascending order.
-1, 0, 1, 2, 4, 4862
Sort -216, 13, -1 in ascending order.
-216, -1, 13
Sort 21257, 1, -11, 2 in decreasing order.
21257, 2, 1, -11
Sort -5, 2, -4290 in ascending order.
-4290, -5, 2
Sort 164/45, 3/2, -1, -0.1.
-1, -0.1, 3/2, 164/45
Put -0.03, -5293, -1, -2/7 in descending order.
-0.03, -2/7, -1, -5293
Put -1, 3, 890, -10 in increasing order.
-10, -1, 3, 890
Put 801, 184, -1/3 in ascending order.
-1/3, 184, 801
Sort 838, -135, 1 in ascending order.
-135, 1, 838
Sort -1, 0, 43, -83, -2 in descending order.
43, 0, -1, -2, -83
Put 13, -5, 171 in descending order.
171, 13, -5
Sort 0, -52622, -10 in ascending order.
-52622, -10, 0
Sort -45574, 0, -4 in ascending order.
-45574, -4, 0
Put -4.3, 0, -5, -2 in descending order.
0, -2, -4.3, -5
Put -2/461, -1/2, -15 in increasing order.
-15, -1/2, -2/461
Sort 0, -0.1, 2155.3, 5, 3/4 in increasing order.
-0.1, 0, 3/4, 5, 2155.3
Sort 30, 585, 1/3 in descending order.
585, 30, 1/3
Sort -189, -9, -53.
-189, -53, -9
Sort 4, -3/2, -5875, -4 in descending order.
4, -3/2, -4, -5875
Sort 11/50, 1/2, 1/7, 30, 5 in increasing order.
1/7, 11/50, 1/2, 5, 30
Sort -137, 1, 22, 34 in descending order.
34, 22, 1, -137
Sort 90, -5, 335 in descending order.
335, 90, -5
Sort -447, -0.6, -5, 0.3 in descending order.
0.3, -0.6, -5, -447
Sort 2/19, 0.2, -1/188, 1/2.
-1/188, 2/19, 0.2, 1/2
Sort -5, 3, 157.
-5, 3, 157
Sort 388, 0, 3, -3, -7.
-7, -3, 0, 3, 388
Put 17, -7, 5, -3 in increasing order.
-7, -3, 5, 17
Put -529, -4, 197 in decreasing order.
197, -4, -529
Sort 2, 5, -4, -78, -1484, 3.
-1484, -78, -4, 2, 3, 5
Put -5, -132, -30, -6 in increasing order.
-132, -30, -6, -5
Sort -4, 11, 0, 14, -15.
-15, -4, 0, 11, 14
Sort 4, -28, -2, -27, -112 in decreasing order.
4, -2, -27, -28, -112
Sort -23, 1, 39, 2, 18 in decreasing order.
39, 18, 2, 1, -23
Put 62, 16, 1 in decreasing order.
62, 16, 1
Sort 0.6, -87, -110.
-110, -87, 0.6
Sort 2/7, 0.0083, -11/26 in decreasing order.
2/7, 0.0083, -11/26
Put -18, -7, -13 in descending order.
-7, -13, -18
Sort 0.1, 4/21, 1/4, 4, 0, 1/3 in descending order.
4, 1/3, 1/4, 4/21, 0.1, 0
Put -1428, 0.1, -3, 0.2, 0 in ascending order.
-1428, -3, 0, 0.1, 0.2
Sort 4092, 38, 5 in ascending order.
5, 38, 4092
Sort -0.3, -2/15, -38/73, -7/12 in decreasing order.
-2/15, -0.3, -38/73, -7/12
Sort 5/7, -0.3, 1/2108, -2 in ascending order.
-2, -0.3, 1/2108, 5/7
Sort -4/5, 4, 1709, -1/4, 0.5, -3 in increasing order.
-3, -4/5, -1/4, 0.5, 4, 1709
Sort 18687, -2, 1/4, 3/2 in descending order.
18687, 3/2, 1/4, -2
Sort 21, -1, 11, 2/27, 3.
-1, 2/27, 3, 11, 21
Put 3, -2.85, 0.1, -0.11, -2 in decreasing order.
3, 0.1, -0.11, -2, -2.85
Put -45.5, 1, -3/2, -2, 2 in descending order.
2, 1, -3/2, -2, -45.5
Put 1.16, 1/2, -3/4, 3, -180 in descending order.
3, 1.16, 1/2, -3/4, -180
Sort -29, -14/93, -4, -3/4 in ascending order.
-29, -4, -3/4, -14/93
Sort 0, 1, 15, 2, -1, -41 in decreasing order.
15, 2, 1, 0, -1, -41
Sort -0.32, 2, 2/7, 263 in decreasing order.
263, 2, 2/7, -0.32
Sort -2, 0, 2/107, -67, -6/7, -0.1.
-67, -2, -6/7, -0.1, 0, 2/107
Sort -575, 5201, 2 in decreasing order.
5201, 2, -575
Put -106, 0, -2, -1 in decreasing order.
0, -1, -2, -106
Sort -4, 6, 111, 0.
-4, 0, 6, 111
Sort -3, 7, 2291, -2 in descending order.
2291, 7, -2, -3
Put 0.03, -21, 2/21, 2, -0.5, 0 in ascending order.
-21, -0.5, 0, 0.03, 2/21, 2
Sort 1, -18, 3, 397, 4 in decreasing order.
397, 4, 3, 1, -18
Sort 0.06, 1/2, 0.4, -2, 1, -308 in increasing order.
-308, -2, 0.06, 0.4, 1/2, 1
Put 4618, 15, 2/11 in descending order.
4618, 15, 2/11
Sort -179, -9, 4, -4 in ascending order.
-179, -9, -4, 4
Put -469, -2/5, -2/7, -0.5, -3/2 in descending order.
-2/7, -2/5, -0.5, -3/2, -469
Put 17, 5/108, 2/3 in decreasing order.
17, 2/3, 5/108
Sort -5, 3, -7881, -2.
-7881, -5, -2, 3
Put 1.7, 1, 3031 in descending order.
3031, 1.7, 1
Put -8/181, -0.13, -1, -7/6 in descending order.
-8/181, -0.13, -1, -7/6
Put -778, -3.5, 5 in decreasing order.
5, -3.5, -778
Sort 5, 5.1, 0.4, 0.02, -2 in increasing order.
-2, 0.02, 0.4, 5, 5.1
Sort 2, -3/7, -3, -8, -4.5 in descending order.
2, -3/7, -3, -4.5, -8
Sort -25, -8, 8, -5 in decreasing order.
8, -5, -8, -25
Put 242, -1/3, 1/3, 16 in descending order.
242, 16, 1/3, -1/3
Sort -51/5, 0.1, 12, -0.5, 2, 5 in increasing order.
-51/5, -0.5, 0.1, 2, 5, 12
Sort 2/3, 264, 4/7, 0.0249 in descending order.
264, 2/3, 4/7, 0.0249
Put 1/4, -3, -2/9, 350 in increasing order.
-3, -2/9, 1/4, 350
Sort 0, -0.03, -0.61, 29 in decreasing order.
29, 0, -0.03, -0.61
Put -228, 2, -571 in ascending order.
-571, -228, 2
Sort 2, -2288/7, -3/14, -0.4.
-228 | {
"pile_set_name": "DM Mathematics"
} |
ivative of s(v). What is m in o(m) = 0?
-27, 0
Suppose -2*h + 12 = -0*h + 2*c, -3*c = -3*h - 6. Factor 2*f**2 - 11*f**h + 3*f**3 - 139*f + 133*f + 0*f**5 + 3*f**5 + 9*f**4.
3*f*(f - 1)*(f + 1)**2*(f + 2)
Let u = 115320/17 + -576532/85. Factor 0*r + 0 - 16/5*r**3 + 0*r**2 - u*r**4.
-4*r**3*(r + 4)/5
Let r(h) be the first derivative of h**4/10 - 4*h**3/15 - 697. Find w such that r(w) = 0.
0, 2
Let s(n) be the first derivative of 5*n**3/3 - 2155*n**2 + 928805*n + 477. Factor s(u).
5*(u - 431)**2
Let r = 279720 - 279720. What is y in -4/5*y**2 + r - 4*y = 0?
-5, 0
Let i(r) be the third derivative of 1/180*r**5 + 0*r + 0*r**3 + 0 - 11/24*r**4 - 140*r**2. Factor i(c).
c*(c - 33)/3
Find m such that -4*m**3 - 450 - 198 - 36*m + 432*m - 48*m**2 = 0.
-18, 3
Let w(l) = l**2 - 5346*l - 1732. Let v(b) = 1337*b + 432. Let g(x) = 33*v(x) + 9*w(x). Factor g(k).
3*(k - 444)*(3*k + 1)
Let h(c) be the first derivative of 1/12*c**3 - 31 - 7/8*c**2 + 3/2*c. Factor h(z).
(z - 6)*(z - 1)/4
Let n(w) be the second derivative of 0*w**2 + 0*w**4 + 0*w**3 - 1/63*w**7 - 16/15*w**5 + 0 - 4/15*w**6 + 60*w. Suppose n(a) = 0. Calculate a.
-8, -4, 0
Suppose -5*l - 85 = -0*l. Let o be (-11)/(-66) - l/6. What is g in 10*g**4 - 124*g - 14*g**2 + 4 + 2*g**3 + 3*g**3 + 118*g + g**o = 0?
-1, 2/5, 1
Let y(s) = -s**3 + 5*s**2 + 4*s - 4. Let o be y(5). Suppose 5*w + 3*w = o. Factor -15*t**4 - 3*t**5 - 18*t**3 + 44 + 24*t + 12*t**w - 44.
-3*t*(t - 1)*(t + 2)**3
Let t be (-208)/(-40) + (12/15 - 1). Solve 0*z**2 - 38*z - t + 2*z**3 - 1 + z**2 - 14 - 17*z**2 = 0.
-1, 10
Let l(k) be the first derivative of -17/7*k**2 - 60 - 1/21*k**3 - 289/7*k. Factor l(g).
-(g + 17)**2/7
Let x(c) = -2*c**2 + 8*c - 2. Let b be x(3). Factor b*v**5 + 14029 - 4*v**3 - 14029.
4*v**3*(v - 1)*(v + 1)
Suppose 0 = 59*z - 65*z + 24. Suppose 5*o - 11*k - 8 = -13*k, -3*o + k = z. Factor o + 1/4*j**4 + 1/4*j**3 - 1/4*j - 1/4*j**2.
j*(j - 1)*(j + 1)**2/4
Let u = 2651/4 - 659. Let g(w) = 4*w**2 - 760*w - 7998. Let b be g(200). Factor u + 25/4*a + 5/2*a**b.
5*(a + 1)*(2*a + 3)/4
Let f(b) be the first derivative of 2*b**5/35 - 75*b**4/14 + 144*b**3/7 - 1193. Solve f(v) = 0.
0, 3, 72
What is a in 1/3*a**2 - 25/3 + 1/3*a**3 - 25/3*a = 0?
-5, -1, 5
Let l(f) = -4*f + 32. Let m(y) = 7*y**2 - 98*y + 8. Let s be m(14). Let z be l(s). Suppose 0*g**2 + 2/11*g**4 - 2/11*g**3 + 0*g + z = 0. What is g?
0, 1
Let i(s) = s**4 + s. Let y be (-615)/195 + 4/26. Let m(z) = z**5 + 2*z**4 - 4*z**3 + 4*z**2 + 3*z. Let u(q) = y*i(q) + m(q). Find w such that u(w) = 0.
-2, 0, 1, 2
Find p such that -104*p + 24 + 452*p**2 + 46*p**4 + 8*p**4 - 278*p**2 - 8*p**5 - 140*p**3 = 0.
3/4, 1, 2
Let a = -3188770/7 + 457294. Factor -384/7*u - a - 3/7*u**2.
-3*(u + 64)**2/7
Let w = 264738 + -1323678/5. Suppose w*k**2 + 8/5*k + 0 + 1/5*k**4 + 6/5*k**3 = 0. Calculate k.
-2, 0
Let g be 30330/(-3033) - 58/(-1)*(570/35 + 6). Factor -268/7*n - 2/7*n**2 - g.
-2*(n + 67)**2/7
Let h(m) be the first derivative of -m**4/12 - 8*m**3/3 - 30*m**2 - 144*m + 1601. Solve h(l) = 0.
-12, -6
Let j(t) = t**3 - 46*t**2 + 87*t + 47. Let b be j(44). Factor -381*n**4 + 156 + 3*n**5 + 2119*n - 885 + n**5 + 268*n**4 + 1769*n + 1108*n**b - 4158*n**2.
(n - 9)**3*(n - 1)*(4*n - 1)
Let a be (-5)/6 + 1 + (-371)/(-42). Let n be 29/a - 70/315. Find j such that -2/9*j + 2/9*j**n - 4/9 - 2/9*j**4 + 2/3*j**2 = 0.
-1, 1, 2
Let -1240/3*c**3 + 116/3*c**4 + 656/3*c + 80/3 + 1028/3*c**2 + 80/3*c**5 = 0. Calculate c.
-5, -1/4, -1/5, 2
Let m = -1639 - -1642. Let v = 5 - 1. Let 32*f**v + 2*f**m - 18*f**3 + 8*f**5 + 12*f**5 = 0. What is f?
-2, 0, 2/5
Suppose 4*t = -8*t + 6132. Suppose t*w - 40 = 503*w. Factor 3/4*f**2 - 1/2*f + 1/4*f**3 - 3/4*f**4 + 0 + 1/4*f**w.
f*(f - 2)*(f - 1)**2*(f + 1)/4
Suppose 13 = -19*j - 2*j + 13. Let k(n) be the second derivative of 0 + 1/100*n**5 + j*n**2 + 21*n + 1/60*n**4 + 0*n**3. Let k(i) = 0. What is i?
-1, 0
Let v = -141 - -226. Let f = v - 77. Let -128*g**2 - 6*g**3 + 116*g**2 + 6*g**3 + 4*g**4 - f*g = 0. What is g?
-1, 0, 2
Let v = 274 + -314. Let n be v/(-18) - (-36)/(-162). Find m, given that 46/15*m - 14/15*m**n - 4/5 = 0.
2/7, 3
Let r = 4 - 330. Let k = r - -1634/5. Factor 6/5*q**2 + 8*q**3 + 0 - k*q.
2*q*(4*q - 1)*(5*q + 2)/5
Let t be 5 + -6 + (1 - 32). Let i = 36 + t. What is u in 20*u**5 - 2*u**i + 10*u**2 - 36*u**5 + 0*u**4 + 18*u**5 - 6*u**3 - 4*u = 0?
-2, 0, 1
Let l(f) = 3*f + 17. Let r be l(-5). Let b be r/(-8)*(14 - 222/15). Factor 0*g - 1/5 + b*g**2.
(g - 1)*(g + 1)/5
Let h(l) be the third derivative of l**7/70 + 9*l**6/5 - 73*l**5/20 - 1119*l**2. What is a in h(a) = 0?
-73, 0, 1
Let g = 639216 + -639216. Factor -28/9*m + g - 2/9*m**2.
-2*m*(m + 14)/9
Find p, given that 169/8*p + 83/8*p**2 - 1/8*p**3 + 85/8 = 0.
-1, 85
Determine h so that -53*h**2 - 13*h**3 - 1200*h + 477*h**2 + h**3 - 624 - 592 + 504*h**2 = 0.
-2/3, 2, 76
Let s(j) be the third derivative of -j**6/1620 - 2*j**5/135 - 5*j**4/36 - 5*j**3/2 + 5*j**2 - 1. Let v(b) be the first derivative of s(b). Factor v(l).
-2*(l + 3)*(l + 5)/9
Suppose -5*y - h + 9 = -7, -16 = 4*h. Determine m so that 9*m**2 + 20*m**3 + 5*m**3 + 16*m**4 + y*m**5 - m**2 - 5*m**3 = 0.
-2, -1, 0
Suppose -2*l - 21948*c - 24 = -21944*c, 3*l = 3*c + 63. Suppose l*y + 4/9*y**2 - 46/9 = 0. Calculate y.
-23, 1/2
Let c = 2 + 2. Let r be (-2529)/843 + (100/(-36))/(-1) + 2. Let 32/9 - r*b**2 + 32/9*b - 32/9*b**3 - 14/9*b**c - 2/9*b**5 = 0. What is b?
-2, 1
Let y be (-22)/(-9 - 2)*1. Let r(s) be the first derivative of -y + 9/10*s**2 + 1/5*s**3 - 12/5*s. Let r(z) = 0. Calculate z.
-4, 1
Let x be (-1591)/22200*-30 + 2/(-5). Factor 0 + x*h - 1/8*h**3 + 13/8*h**2.
-h*(h - 14)*(h + 1)/8
Let t(p) be the second derivative of p**6/105 - 39*p**5/70 - 41*p**4/42 + 13*p**3/7 + 40*p**2/7 + 3197*p. Let t(s) = 0. Calculate s.
-1, 1, 40
Factor 3/4*f**3 + 0 + 15*f - 63/4*f**2.
3*f*(f - 20)*(f - 1)/4
Let d(a) = a - 4*a + 3 + 0*a. Let i be d(0). Factor -t**4 - t**5 + 2*t**4 + 2*t**i - 2 - 2*t**2 + 3 - t.
-(t - 1)**3*(t + 1)**2
Let o(x) = 8*x**4 - 3979*x**3 + 7979*x**2 - 3972*x - 9. Let y(w) = 5*w**4 - 1990*w**3 + 3990*w**2 - 1985*w - 5. Let g(u) = 5*o(u) - 9*y(u). Factor g(c).
-5*c*(c - 1)**2*(c + 399)
Suppose 4*w + 130 - 3 = b, 4*b - 440 = -w. Let 16*o**3 - 159*o**2 + b*o**2 + 392 - 12*o**3 - 84*o - 8*o**3 = 0. Calculate o.
-7, 2
Let y(q) be the first derivative of 45 + 7/45*q**5 + 13/18*q**4 + q**3 - 4/9*q + 2/9*q**2. Let y(p) = 0. Calculate p.
-2, -1, 2/7
What is v in 0 + 6*v**3 + 0*v - 2/3*v**5 - 6*v**2 + 2/3*v**4 = 0?
-3, 0, 1, 3
Determine a so that 62/9 + 47/9*a**2 + 1459/9*a = 0.
-31, -2/47
Let n be (-17)/(-5) - (-387)/(-430). Factor 5/2 - 35/4*p - n*p**4 + 10*p**2 + 5/4*p**5 - 5/2*p**3.
5*(p - 1)**4*(p + 2)/4
Let u be -13 - -14 - (0 - 2). Let s(q) be the first derivative of 2/3*q**u + 0*q + 2/15*q**5 + 1/2*q**4 + 1/3*q**2 - 12. Factor s(g).
2*g*(g + 1)**3/3
Let o(h) = 7*h**2 + 67*h**3 - 66*h**3 - 8*h - 9 - 2*h. Let v be o(-8). Determine k, given that -4*k - 9*k**2 + 2*k - 3*k + 3*k**3 - v*k = 0.
-1, 0, 4
Let g be (-2)/10 + 1700/13500 - (-1738)/135. Solve 0 + 86/5*l**2 + 6/5*l**4 + g*l**3 - 36/5*l = 0 for l.
-9, -2, 0, 1/3
Suppose 88 = -19*g + 2197. Let 31*w**2 - 80*w + 9*w**4 - g*w**2 + 11*w**4 + 5*w**5 = 0. Calculate w.
-2, 0, 2
Let v(t) be the second derivative of -4*t**6/27 + 3287*t**5/90 - 379*t**4/18 - 1802*t**3/27 - 328*t**2/9 - 2*t - 85. Suppose v(x) = 0. Calculate x.
-2/5, -1/4, 1, 164
Let t(z) be the third derivative of -5*z**8/336 - 13*z**7/21 - 5*z**6 + 263*z**5/6 - 2915*z**4/24 + 170*z**3 - 523*z**2 + 4*z + 3. Determine m so that t(m) = 0.
-17, -12, 1
Let p be (0/1)/(-27 + (35 - 7)). Let b(h) be the first derivative of 2/15*h**5 + 0*h - 1/18*h**6 - 15 + 0*h**3 + 0*h**4 + p*h**2. Factor b(q).
-q**4*(q - 2)/3
Factor -512/9*s - 56 - 2/9*s**3 - 134/9*s**2.
-2*(s + 2)**2*(s + 63)/9
Let u(x) be the third derivative of -x**7/630 + 7*x**6/72 + 68*x**5/15 - 9406*x**2. Factor u(n).
-n**2*(n - 51)*(n + 16)/3
Let g(v) be the first derivative of 0*v - 17 + 1/2*v**6 + 0*v**2 + 0*v**3 + 3/4*v**4 - 6/5*v**5. Determine p so that g(p) = 0.
0, 1
Let h(a) = -5*a**2 + 1757*a - 1741. Let x(i) = -2*i**2 + 586*i - 580. Let g(c) = -4*h(c) + 11*x(c). Factor g(d).
-2*(d - 1)*(d + 292)
Suppose -32*p = -36*p - 8. Let n be p/2 - 64/(-48). Factor 0 - 4/3*a**4 + | {
"pile_set_name": "DM Mathematics"
} |
3
c
Let b be (8/(-12))/((-2 - 3)/(-15)). What is the second biggest value in 8, b, 0.03?
0.03
Let f be 2 + -1 + 0 + 1. Let v be (-3)/f - 6/(-4). Let g = 0.0093 + -0.0193. What is the second biggest value in v, -2/5, g?
g
Suppose 3*q = -2*q - 10. Which is the smallest value? (a) q (b) -0.067 (c) -0.1
a
Let v be 1*(-4)/16*16/5. Let g = 0.033 - -0.267. What is the smallest value in v, 2, g?
v
Let x = 4 + -6. Let g = -224 - -226. Which is the third smallest value? (a) -2/9 (b) x (c) g
c
Let q = 166 + -312. Let j = -142 - q. Which is the smallest value? (a) -6 (b) -5 (c) j
a
Let r be (210/(-135))/(-2 - 7/(-3)). What is the biggest value in 4, r, -2?
4
Let y = -14 + 27. Let d = -12.7 + y. Let a = d - 0.4. What is the third smallest value in -4, 2, a?
2
Let q = -250 - -253. What is the fourth smallest value in q, 0.2, -1, -1/11?
q
Let q = -6 + 3. Let s = 3 + q. Let h = 4.29 + -14.29. Which is the second smallest value? (a) -1 (b) s (c) h
a
Let d(h) = 18*h + 4. Let m be d(-2). Let z = 47 + m. Suppose 3*t = -z + 6. Which is the second smallest value? (a) 3/7 (b) t (c) -1/3
c
Let s be -1 - (4 + (-10 - -2)). What is the smallest value in -1.1, 1, s?
-1.1
Let q = 19 + -17. Let y be (14/(-112))/(q/(-4)). Which is the smallest value? (a) y (b) 5/2 (c) 0.6
a
Suppose 1 = d + 4. Let i = -1170 + 1169.9. What is the third smallest value in i, -1/4, d, 0.2?
i
Let f be ((-38)/12)/(-1) - (-18)/(-9). Let w = -23/30 + f. Let r be (18/(-12))/(2*1). Which is the smallest value? (a) w (b) r (c) -1/3
b
Let i(j) = 13*j**3 + j**2 - 20*j - 21. Let h be i(-1). Which is the second biggest value? (a) h (b) -2 (c) 3
b
Suppose -2*m = 3*v - 6, -5*v + 12 = -4*v + 4*m. Let o = 0.3 + -2.3. Which is the fourth biggest value? (a) 11 (b) v (c) 4 (d) o
d
Let y = -1386.014 - -1390. Let g = -0.014 - y. What is the third biggest value in -2, 0.07, g?
g
Let l = 0.39 - 0.33. Let w = 0.46 - l. Which is the biggest value? (a) -3 (b) -5 (c) -4 (d) w
d
Let t = -6 + 5.6. Suppose -5*r = -7*r. Let m be (-2)/24*10 - r. What is the third biggest value in t, m, 0.4?
m
Let o = -80573/6 + 13396. Suppose 2*k + 2*j = 72, 57 = 6*k - 4*k - 3*j. Let i = k + o. What is the smallest value in 0.4, i, 2?
i
Let a = -56 - -57. Let d = a - 3. Let h(v) = v - 4. Let y be h(4). What is the smallest value in d, y, -13?
-13
Let t = 1669 + -1494. What is the third biggest value in -0.4, -1, t?
-1
Let p = 19.5 - 1.5. Let r = -10 - p. Let v = r - -33. What is the biggest value in -2, -0.4, v?
v
Let h = 2 - 0.1. Let n = h + -18.9. Let s = n - -21. What is the second smallest value in 0.5, s, -1?
0.5
Let r be 2/(-3) - (6 - 6220/960). What is the third biggest value in 1/7, -0.1, r, 0.2?
-0.1
Let q = -0.1 - 0.02. Let c = -2.03 - q. Let k = 0.09 - c. What is the smallest value in k, -0.1, 0?
-0.1
Let v = 1.99 + -3.5. Let q = v + 1.31. What is the biggest value in 2, q, 37?
37
Suppose 0*r - 3*r = 5*h - 61, -4*r + 58 = 2*h. Let y = -35 - -75. Let g be (12/(-50))/(r/y). Which is the third biggest value? (a) 1 (b) -0.2 (c) g
c
Suppose -7 = 5*r + 8. Let h be (r/15)/((-1)/25). What is the second smallest value in h, -5/2, 1?
1
Let w be ((-9)/7 - -1)*217/(-62). What is the second biggest value in 0, 0.1, w, 0.8?
0.8
Let o be ((-13)/(390/(-20)))/((-2)/15). Suppose -5*j + 8 = 4*k - 1, 2 = -3*k + 5*j. What is the second smallest value in 12, o, k?
k
Let a = 247.5 + -248. Let z be 2 - (-2 + (-11)/(-3)). What is the third biggest value in a, 4/3, z, -2/13?
-2/13
Let o = -2.24 - -2.33. Which is the biggest value? (a) -1/5 (b) -4 (c) o
c
Let z = -1.161 - -0.161. What is the third biggest value in 0.1, z, 2/5, 5/7?
0.1
Let a = 134 + -138. Let n(x) = 2*x. Let z be n(2). What is the second biggest value in 1/9, a, z?
1/9
Let r = -107 + 110. What is the smallest value in -14, r, -7?
-14
Let q = -9 - -15. Let s = q + -3. Let x = 0.32 + -2.32. Which is the smallest value? (a) x (b) 5 (c) s
a
Let s = -21 + 20.1. Let q = -11351/12 + 3785/4. Let d = 2.4 - 2. Which is the second smallest value? (a) s (b) q (c) d
b
Suppose -6*t = -4*a - t + 35, 15 = -5*t. What is the second biggest value in 0.3, -2.1, 0.08, a?
0.3
Let y = 138 + -136. Which is the smallest value? (a) -1 (b) y (c) -4 (d) 1
c
Let f = -0.089 + 3.089. What is the fourth biggest value in 1, f, 2/11, -1/4?
-1/4
Let c = 0.105 - -111.895. Let n = -115 + c. What is the smallest value in n, -5, -0.01?
-5
Let z = -488/5 + 97. Let f be -31 - (-1)/(-3)*3. Let w = 37 + f. Which is the second biggest value? (a) 2/9 (b) w (c) z
a
Let f = -2.2 - -2.5. Let c = 0.35 + 0.05. Let q = -88 + 87.7. What is the biggest value in f, c, q?
c
Let w = 0.5 - 0. Let q = 0.104 - 0.104. Which is the third biggest value? (a) q (b) -1/8 (c) w
b
Let u = -169 - -178. Which is the third smallest value? (a) 5 (b) u (c) 1/3
b
Let l = -1.5 - 1. Let z = -3 - l. Suppose -40 = 4*y - 2*j - 14, -3*y + 5*j = 37. Which is the biggest value? (a) y (b) z (c) -5
b
Let y = 1457 + -1456. What is the second biggest value in -7/6, 5, y?
y
Let l be ((-1)/(-3))/((504/54)/(-28)). Which is the second biggest value? (a) -0.4 (b) 9 (c) l (d) 0.2
d
Let k = 0.16 + -17.16. Let t = k - -17.2. What is the second biggest value in -5, t, 0.3?
t
Let g = -11.02 - -0.02. Let l = 11.5 + g. Let j = 0.3 - l. Which is the third biggest value? (a) 3 (b) j (c) 4
b
Let p = -547 + 546.6. Which is the biggest value? (a) p (b) 5 (c) -1 (d) 3
b
Let m = 216/11 + -1307/66. Which is the third smallest value? (a) m (b) -1 (c) 33
c
Let k = -2/103 - 293/824. Which is the third biggest value? (a) 0.5 (b) -2 (c) k
b
Let n(q) = -q + 34. Let j be n(38). Which is the smallest value? (a) j (b) -1/9 (c) -0.3
a
Let m = 181 + -180.8. Let d = -0.2 - -5.2. What is the third smallest value in m, d, 0?
d
Let u = -66 + 525/8. Which is the fourth biggest value? (a) 4/7 (b) 0.5 (c) 1/3 (d) u
d
Let l be 8 - (-2 - (1 - 14)). What is the third smallest value in -3/5, 30/7, l?
30/7
Let w = -0.1 - 0.4. Let x = 570 - 1711/3. Which is the fourth biggest value? (a) -2/5 (b) x (c) 3 (d) w
d
Let f be (6/(-10) - (-26)/10)/(-7). What is the second biggest value in 3/10, f, 16?
3/10
Let j = 1045 - 1045.3. What is the third smallest value in -3, -7/2, j?
j
Let h be 4/(-10) - (-308)/420. Let n be (-3)/(1 + 7/(-4)). Suppose 4*f + 16 = -n. Which is the second smallest value? (a) f (b) h (c) -0.5
c
Let x = 20 + -30. Let p = 9 - x. What is the second biggest value in p, -0.5, -1?
-0.5
Let p = -28 + -51. Let w = 85 + p. Let x(m) = m**2 - 3*m - 2. Let l be x(3). Which is the second smallest value? (a) -1 (b) l (c) w
a
Suppose -2*q + 42*y - 2 = 46*y, 0 = -q - 5*y - 10. What is the smallest value in q, 21, 1?
1
Let f = -237.31 - -236. Let d = 15.91 + f. Let l = d + -15. Which is the second smallest value? (a) 2/3 (b) l (c) -2
b
Let y(o) = -o**3 + 8*o**2 - 20*o + 5. Let s be y(4). Which is the fourth smallest value? (a) -3 (b) -0.2 (c) s (d) -0.6
b
Let q = -632 + 674. What is the second biggest value in q, -2/7, 0.3?
0.3
Let i = 32/11 - 310/99. Let h = -34.043 - -0.043. Let l = -34 - h. Which is the third smallest value? (a) i (b) l (c) -3
b
Let k = -15.78 + 10.78. Which is the biggest value? (a) k (b) -4 (c) -28 (d) 0.1
d
Let u(l) = 2*l + 2. Let d be u(2). Suppose -3*y + 11 = -4*z, 0*z + 20 = -4*z. Let t = y + d. What is the smallest value in -2/11, t, -3?
-3
Let t be 25/((-625)/30) - (4 + -5). Let r = 11 - 19. Which is the third smallest value? (a) r (b) -1/4 (c) -2 (d) t
b
Let t = 639/10 + -63. Let o = t + -2/5. Let m = -6/7 + 4/21. Which is the second smallest value? (a) o (b) 1 (c) m
a
Let d = 3.5 + -3.6. Let r = 23.2 + -23. Which is the third biggest value? (a) 6/11 (b) d (c) r
b
Let z be (-18)/(-27) + (-1*2 - -2). Let o = 198.2 + -198. What is the smallest value in o, z, -10?
-10
Let f = -562 + 16296/29. Which is the biggest value? (a) f (b) -0.3 (c) 3/5
c
Let w = 2 - -1. Let i = w + 2. Which is the fourth smallest value? (a) -0.4 (b) i (c) -4 (d) -2
b
Let f = 0.5 - 1. Let a = f + 0.7. What is the biggest value in 2/7, a, -2?
2/7
Let h = -0.14 - -0.3. Let d = h - 0.36. Let s = 0.01 - -2.99. Which is the third biggest value? (a) d (b) -3/7 (c) s
b
Let l = 4298/5 + -860. Let q | {
"pile_set_name": "DM Mathematics"
} |
7/4, -4, 3790 in ascending order.
-177/4, -4, 3790
Put -193/5, 2/7, 1.811 in descending order.
1.811, 2/7, -193/5
Put -3, -143, 2, -38, 4 in decreasing order.
4, 2, -3, -38, -143
Sort -1/1596, -5, 15.
-5, -1/1596, 15
Sort 22, 35, -5, -3.
-5, -3, 22, 35
Sort 0.4, -1, 228102.
-1, 0.4, 228102
Sort 17, -0.4, 2/7, 0.018, -1/2 in increasing order.
-1/2, -0.4, 0.018, 2/7, 17
Sort 183, 1/5, 66, 4 in descending order.
183, 66, 4, 1/5
Put -6, -688, 0, -23, -4, 3 in ascending order.
-688, -23, -6, -4, 0, 3
Sort 77, -514, 5 in descending order.
77, 5, -514
Sort -2/3, 0.49, -0.158, 8 in increasing order.
-2/3, -0.158, 0.49, 8
Sort 1, -5, 14513.
-5, 1, 14513
Sort 3, -7069, -4 in descending order.
3, -4, -7069
Sort 11371, 5/3, 0.1, 5, 1/6 in descending order.
11371, 5, 5/3, 1/6, 0.1
Put -4, 0, -66, 0.28, -0.5 in descending order.
0.28, 0, -0.5, -4, -66
Put -576, -4, 1, 0, 110 in increasing order.
-576, -4, 0, 1, 110
Sort -16, 4, -4725 in ascending order.
-4725, -16, 4
Put -2, 8, 4, 0.3, 2/9, 15.9 in decreasing order.
15.9, 8, 4, 0.3, 2/9, -2
Sort -190, 3, 4, -15, 1 in ascending order.
-190, -15, 1, 3, 4
Sort -2, -3/7, 1/3, 21195 in decreasing order.
21195, 1/3, -3/7, -2
Sort 413, -76, 11 in descending order.
413, 11, -76
Put 1, -0.6, -5, -3/3953 in decreasing order.
1, -3/3953, -0.6, -5
Put 3/206, -2/13, -13, -5 in ascending order.
-13, -5, -2/13, 3/206
Put -32719, -3/2, -5, -2/5 in decreasing order.
-2/5, -3/2, -5, -32719
Sort 0.1, 0.0174, 1, 6/17, 5 in increasing order.
0.0174, 0.1, 6/17, 1, 5
Sort -2/75, -0.27, 0.8 in descending order.
0.8, -2/75, -0.27
Sort -0.2, -2/3, -32.738 in decreasing order.
-0.2, -2/3, -32.738
Sort -5, 6, 71, 1 in ascending order.
-5, 1, 6, 71
Put -0.09, -4/7, 20, 1, -2/3, -3 in ascending order.
-3, -2/3, -4/7, -0.09, 1, 20
Sort 1, 3, 4, -153, -53, 0 in decreasing order.
4, 3, 1, 0, -53, -153
Put 11, -3/8, 5/4, 2, 187/9 in descending order.
187/9, 11, 2, 5/4, -3/8
Sort -0.2, -8, 2, -5, -2/2773 in ascending order.
-8, -5, -0.2, -2/2773, 2
Put -91, -5, 3, 1 in decreasing order.
3, 1, -5, -91
Put -8, 5, -1, -3778, 2 in ascending order.
-3778, -8, -1, 2, 5
Sort 2, 709/6, 5, -5.
-5, 2, 5, 709/6
Sort -14, 38, 3, 22, 0 in decreasing order.
38, 22, 3, 0, -14
Put -178837, 12, -5 in increasing order.
-178837, -5, 12
Sort -59, 3, -423, 0 in increasing order.
-423, -59, 0, 3
Sort 301, 2.3, -11 in increasing order.
-11, 2.3, 301
Put 15550, -7, -3 in descending order.
15550, -3, -7
Sort -3, 2, -5, 5, -479, 4 in decreasing order.
5, 4, 2, -3, -5, -479
Sort -5, 5, 15, -9210.
-9210, -5, 5, 15
Sort 1, 12, 2, -2, -1.
-2, -1, 1, 2, 12
Put -6, -25, -2, -1, -339 in descending order.
-1, -2, -6, -25, -339
Sort 1, 96, -2, -7, 5 in decreasing order.
96, 5, 1, -2, -7
Put 0, 0.01, 43166 in ascending order.
0, 0.01, 43166
Sort -1, 4, -15, 0, 6, -2 in decreasing order.
6, 4, 0, -1, -2, -15
Put 2/5, 1160, 3/4, 2 in increasing order.
2/5, 3/4, 2, 1160
Sort 3/10, 0, 38/9, -0.1, -1/8, 5 in decreasing order.
5, 38/9, 3/10, 0, -0.1, -1/8
Sort -3, -1680, -9, 4 in descending order.
4, -3, -9, -1680
Put 61, -5, 89 in descending order.
89, 61, -5
Sort -1/10, 19316, 1, -5, 2.
-5, -1/10, 1, 2, 19316
Sort -0.5, -3520, 1, 3, -1/6 in ascending order.
-3520, -0.5, -1/6, 1, 3
Sort -2, -1, 189974.
-2, -1, 189974
Sort -2, -9, 2, 4, 114.
-9, -2, 2, 4, 114
Put 19791, 0, -1, -2 in increasing order.
-2, -1, 0, 19791
Put 1, 4, -2, 20, -322 in descending order.
20, 4, 1, -2, -322
Put -7, 1, -22, -2, -5 in descending order.
1, -2, -5, -7, -22
Sort -17, 11, 2, -1.
-17, -1, 2, 11
Put 1, 255, 2, 0, 8, -5 in decreasing order.
255, 8, 2, 1, 0, -5
Sort -3, -1/7, -75, -4/5, -2/15, 3 in descending order.
3, -2/15, -1/7, -4/5, -3, -75
Sort 357.6, -0.5, -0.08, 2/5, 2 in decreasing order.
357.6, 2, 2/5, -0.08, -0.5
Sort -1, 0, 14527, 2 in descending order.
14527, 2, 0, -1
Put -1, 0, 3, -12, 1, -67 in increasing order.
-67, -12, -1, 0, 1, 3
Sort 2/9, -4, -3, 29240, 3/5, -2/13 in descending order.
29240, 3/5, 2/9, -2/13, -3, -4
Put -2.3, 2/25, 1, -0.3, -3/5 in descending order.
1, 2/25, -0.3, -3/5, -2.3
Put -0.2, 0.5, -0.06, 20, 12 in decreasing order.
20, 12, 0.5, -0.06, -0.2
Put -106961, 0, 1/5 in increasing order.
-106961, 0, 1/5
Sort -7, -6/11, -0.1, 13, -3 in decreasing order.
13, -0.1, -6/11, -3, -7
Sort -52, -104/457, 5 in decreasing order.
5, -104/457, -52
Put -5, 2/19, 0.3, 2/3, 0.49, 5 in descending order.
5, 2/3, 0.49, 0.3, 2/19, -5
Sort 3, 1, 19, 98, -12, -2 in decreasing order.
98, 19, 3, 1, -2, -12
Sort 6, 13, 1, -5, -8 in ascending order.
-8, -5, 1, 6, 13
Sort -45, 0.5, 11, -0.5, -58 in descending order.
11, 0.5, -0.5, -45, -58
Put -1113, 2371, 5 in ascending order.
-1113, 5, 2371
Sort -98, -54/13, 4 in decreasing order.
4, -54/13, -98
Sort 4746, 3, 4, 12, -4 in descending order.
4746, 12, 4, 3, -4
Put -5, 242127, 4/3 in increasing order.
-5, 4/3, 242127
Sort 5, 4, 2, -1, -78552, -2 in decreasing order.
5, 4, 2, -1, -2, -78552
Sort -2, 69, -7, -34.
-34, -7, -2, 69
Sort 1646, 110, -2, -3, -5 in ascending order.
-5, -3, -2, 110, 1646
Sort -1, 5, -4, 3885.
-4, -1, 5, 3885
Put 3, 3095, 2, -3 in descending order.
3095, 3, 2, -3
Put 50551, 4, 2 in increasing order.
2, 4, 50551
Put -3, -4, 2, -195, -2 in decreasing order.
2, -2, -3, -4, -195
Put -6, 13, 2/11, -0.26, 2/5 in increasing order.
-6, -0.26, 2/11, 2/5, 13
Put -5, 3, -2, 7, 16, 4 in increasing order.
-5, -2, 3, 4, 7, 16
Put -255, 5, -6, -2 in descending order.
5, -2, -6, -255
Put 4, -5, -4, 79, -1 in increasing order.
-5, -4, -1, 4, 79
Put 0.9, 5, 26, 2, 4/5, 11 in decreasing order.
26, 11, 5, 2, 0.9, 4/5
Sort 0, 4, 2, 3, -65, 29 in decreasing order.
29, 4, 3, 2, 0, -65
Put 1/5, 0.12, -3, -38/9, -4 in decreasing order.
1/5, 0.12, -3, -4, -38/9
Sort -4/11, 8, -3, -27 in decreasing order.
8, -4/11, -3, -27
Sort -1628, -1291, 0.5.
-1628, -1291, 0.5
Sort 5, 60, -4, 18, 37 in decreasing order.
60, 37, 18, 5, -4
Sort 0.068, 0.09, -66.
-66, 0.068, 0.09
Put 0, -5, -3, 127, -171 in decreasing order.
127, 0, -3, -5, -171
Sort 4, 1420, 1/4, 2/21 in increasing order.
2/21, 1/4, 4, 1420
Sort 3, 0, -0.4, 1/3, -1/6, 10/61 in descending order.
3, 1/3, 10/61, 0, -1/6, -0.4
Put -5, -1, 392, -33, 0 in descending order.
392, 0, -1, -5, -33
Sort 6.6, -4, -538, -0.11.
-538, -4, -0.11, 6.6
Sort 4, 1, 72, -523, 5, 3 in ascending order.
-523, 1, 3, 4, 5, 72
Sort 8, 3/62, 2, 1/4, 0.4 in decreasing order.
8, 2, 0.4, 1/4, 3/62
Sort 5, 43, -0.009, 1.6 in increasing order.
-0.009, 1.6, 5, 43
Sort -4, -53212, 4 in decreasing order.
4, -4, -53212
Sort 4, -52, -11, 30, 10 in ascending order.
-52, -11, 4, 10, 30
Put 1, -108, 939 in ascending order.
-108, 1, 939
Sort 6, 22, -3, -153, 3, -4.
-153, -4, -3, 3, 6, 22
Sort -4917, 2, -7 in decreasing order.
2, -7, -4917
Sort -15, -1, 13, -7 in decreasing order.
13, -1, -7, -15
Sort -6, 5, -7/101, 3, -2, -1.
-6, -2, -1, -7/101, 3, 5
Sort -96, -19/166, -3 in ascending order.
-96, -3, -19/166
Put -6, -5, 3/169, -1 in increasing order.
-6, -5, -1, 3/169
Sort -2, -5, -22305.
-22305, -5, -2
Put -184, -50, -5 in descending order.
-5, -50, -184
Sort 3, 122483, 1 in descending order.
122483, 3, 1
Sort -30/17, 5, -0.4, 0.031, 0.5, 1 in ascending order.
-30/17, -0.4, 0.031, 0.5, 1, 5
Sort -2, 2/7, -0.4, 0.1, -3, -4.
-4, -3, -2, -0.4, 0.1, 2/7
Put -57, -40, 14 in ascending order.
-57, -40, 14
Sort 14, 21, -2, -5, 0 in increasing order.
-5, -2, 0, 14, 21
Put 6, -4, -815, 4 in increasing order.
-815, -4, 4, 6
Sort -6, 2/59, 42, 0, 1.
-6, 0, 2/59, 1, 42
Sort 1041, -10, 4 in increasing order.
-10, 4, 1041
Sort 14/5, -4, -1, -3, 2.
-4, -3, -1, 2, 14/5
Put 2566, 5, 19, 4 in increasing order.
4, 5, 19, 2566
Put -1/3, -2, -7/3, -31, -4, 21 in descending order.
21, -1/3, -2, -7/3, -4, -31
Sort 1, 530, -9, 2, -12 in increasing order.
-12, -9, 1, 2, 530
Sort -1, 1541, 0, 3.
-1, 0, 3, 1541
Sort 199, -1, 5, -13 in increasing order.
-13, -1, 5, 199
Sort 4, 199, 276, -6 in ascending order.
-6, 4, 199, 276
Put -12, -5, -9096 in increasing order.
-9096, -12, -5
Put -12, 1748, 3, -2/13, 4/9 in descending order.
1748, 3, 4/9, -2/13, -12
Sort 336, -2, 6.
-2, 6, 336
Put -224, -5, 2, 0 in increasing order.
-224, -5, 0, 2
Sort -2, 3, -1/178263 in decreasing order.
3, -1/178263, -2
Put 5, -182, -92, -4 in decreasing order.
5, -4, -92, -182
Put 67, 6, | {
"pile_set_name": "DM Mathematics"
} |
b be (-11)/66 - (-34)/(-48). What is the smallest value in -0.2, b, z?
b
Suppose -4*d = -3*x + 50, -5*x = -4*d + d - 43. Let u(p) = -p**2 + 4*p - 7. Let i = 41 - 38. Let m be u(i). Which is the biggest value? (a) m (b) 1/3 (c) d
b
Let n(r) = -30*r - 243. Let f be n(-8). Let g = 36 - 16. Let s = g - 24. What is the third smallest value in f, -1, s?
-1
Let n = -2110 + 14774/7. Let q = -0.6 + 0.59. Let v = q + -20.99. What is the second smallest value in -0.3, -4, n, v?
-4
Let f(o) = -9*o - 181. Let m be f(6). Let i be 6/((-1020)/m) + 12/(-8). What is the second biggest value in i, 0.01, -2?
i
Let b = 27907.94 + -27908. Let z = 4 - 6. What is the second biggest value in z, 3/8, b?
b
Let y = 0 + -0.1. Let w(o) = -15*o**2 - 5*o + 20. Let g be w(-8). Let m be (-83)/100 - 72/g. Which is the biggest value? (a) 5/2 (b) -4 (c) y (d) m
a
Suppose 5 + 95 = -4*p. Let b = p - -46. Suppose 2*i + 0*i = -n - 9, 5*i + b = -n. What is the smallest value in n, -0.3, -2/15?
n
Let z = 10333.6 - 10334. Let l = 94.175 - 0.175. What is the second biggest value in l, 5, z, -1?
5
Let q = 7689 - 7691. What is the fourth smallest value in -20.3, q, 12, 4, 0.5?
4
Let u = 24151.005 - 24151. Which is the third smallest value? (a) u (b) 5 (c) -3 (d) 8
b
Let x(d) = -d**3 - 133*d**2 - 1128*d - 1441. Let m be x(-124). Let g = -2/113 + 236/565. What is the fourth biggest value in g, 5, m, 0.2?
0.2
Let u = -3491 - -3488. Which is the smallest value? (a) 3378 (b) u (c) -1/2
b
Let j be (8/(-80))/((-141)/(-12)). Let f = j + 49/235. Let v = -26 + 51/2. Which is the third smallest value? (a) -0.3 (b) v (c) 0.6 (d) f
d
Let k = -8 + 5. Let m = -262.2 + 45.2. Let x = 219 + m. Which is the smallest value? (a) x (b) 0.8 (c) k (d) 0
c
Let h = 1.7167 - 1.2167. Let f = 3 - 4. Which is the biggest value? (a) f (b) h (c) 22
c
Let o = 1343/468 - 248/117. Let m = 1 - -1. Which is the second biggest value? (a) m (b) 13 (c) o
a
Let p = -6.7 + 7. Let z = 11 - 4. Let d = 16945 + -16950. What is the third biggest value in z, p, d?
d
Let q = -1826/3085 + -5/617. What is the second smallest value in 2, -32/5, -0.4, -1, q?
-1
Let s = -193.05853 - -0.05853. Which is the biggest value? (a) -4 (b) s (c) -0.4
c
Let i = -20 - 68. Let l = 179/2 + i. Suppose -159*x - 85 = -142*x. What is the fourth smallest value in l, x, -3, -4?
l
Let t = 0.0734 - -0.4266. What is the fourth biggest value in -4/5, t, -0.4, 29?
-4/5
Let t be (-44)/(-23) + 1 + -3. Let i(y) = y**3 + 4*y + 38. Let q be i(-3). Which is the second smallest value? (a) -2/9 (b) t (c) -1/8 (d) q
a
Let n = 2808 + -2808. Which is the smallest value? (a) -0.219 (b) 4 (c) n (d) -1
d
Let k = 1438 - 1437.94. Which is the biggest value? (a) k (b) 37/3 (c) 1/3
b
Suppose -88*v = -51*v - 111. Which is the third biggest value? (a) -0.3 (b) v (c) 0.05
a
Let d be ((-48)/1440)/((-2)/(-3)) + 1/(-5). What is the third smallest value in d, -52, 1/17, -2/9?
-2/9
Let m = -13.926 - 0.974. Let y = -16.9 - m. What is the second biggest value in 3, y, 11/7?
11/7
Let i = 1.026 + 0.324. What is the fourth biggest value in i, -0.1, -4/9, -3?
-3
Let p = 31 + -25.1. Let j = p - -0.1. Let y be (8 - 56/21) + -6 + 1. What is the third biggest value in y, j, 0?
0
Let g = 1078 - 33. What is the biggest value in 1/5, -2/5, g?
g
Suppose -9*v + 168 = -3*v. Let u be v/70*(-10)/(-18). Let l = -2/27 + 31/54. Which is the biggest value? (a) l (b) u (c) -1/4
a
Let q = 6406 - 6410. What is the fourth smallest value in -2, q, -89/2, 0.3?
0.3
Suppose 2*t + 0*t + 3*s - 17 = 0, 2*t - 7 = -s. Let u = 242677.1 + -242677. Which is the smallest value? (a) -45 (b) t (c) u
a
Suppose 705 = -4*j + 717. Which is the biggest value? (a) 61 (b) 3/7 (c) j
a
Let j = -1071 - -1076. Let k = 0.6 - 1.54. Let p = -0.9 - k. What is the smallest value in p, j, -0.3?
-0.3
Suppose u = 4*u + 3. Let i = -6156 + 73873/12. Which is the biggest value? (a) i (b) -8 (c) u
a
Let n = -4034/133 - -560/19. What is the third smallest value in 484, n, -0.3?
484
Let d = -0.8 - -0.4. Let v = -15179/12 - -1265. What is the biggest value in -0.5, d, v?
v
Let d be (-17)/102 + (-76)/(-168). Let l = -12 + 9. Which is the biggest value? (a) d (b) l (c) -0.4
a
Let x = -1.2 - -0.2. Let v = x - -0.96. Let i = 59570 - 416994/7. What is the second biggest value in v, 0.4, -2, i?
v
Let u(s) = 2*s**3 + 11*s**2 - 4*s + 9. Let f be u(-6). Let i be ((-588)/(-119) + -5)/(1/f). Which is the third smallest value? (a) 4/3 (b) -3/5 (c) i
a
Let n = -380.2 + 416. Let y = n + -31.8. Let w = -0.9 + 1. Which is the smallest value? (a) w (b) 2/11 (c) y (d) 2/9
a
Let q = -54799 + 493189/9. Let s = -5.07 + 5. Let k = 0.9 + 0.1. What is the second smallest value in s, -5, q, k?
q
Let s = -71.4 + 1.4. Let w = -71 - s. Which is the fourth biggest value? (a) w (b) 4 (c) 5 (d) -0.4
a
Let w = 128 - 116. Let i be ((-14)/w - -1) + (-646)/228. What is the fourth smallest value in 4, -5, -0.2, i?
4
Let c = -181.72 - 3.28. Let l = c - -185.4. Let t = 21 - 20.9. What is the third smallest value in t, l, -5, -1?
t
Let x = -61/171 + 11/19. Which is the fourth biggest value? (a) -0.134 (b) -1 (c) 1/6 (d) x
b
Let g = 12815 + -12812. What is the smallest value in -6, g, 4, -7, 0.14?
-7
Let k = 947 + -398. Let l = k + -541. Let q be (2/2)/((-6)/2). What is the biggest value in q, 5, -2/9, l?
l
Let r = 0.3 - 0.8. Suppose 4*c = 7*c. Let j be 201/39 - 190/1235. What is the second biggest value in r, j, -0.1, c?
c
Let y = -71/5 + 492/35. Let m = -497.5 + 498. Let z be (-7)/2*26/(-91). Which is the second smallest value? (a) y (b) 0 (c) z (d) m
b
Let o be (-5)/(-2) - ((-110)/(-20))/(-11). Which is the smallest value? (a) -7 (b) o (c) 48
a
Let s(x) = 2*x**3 + 125*x**2 + 727*x - 59. Let g be s(-56). Which is the biggest value? (a) -1/19 (b) g (c) 22
c
Let z = 0.00965 - -0.07035. Which is the fourth smallest value? (a) 35 (b) z (c) 2 (d) -1/7
a
Let l = 239.102 + -239.1. Let t = 0.02403 + -5.02603. Let m = l + t. Which is the second biggest value? (a) 1 (b) m (c) -0.2
c
Let g = -1 + 1. Suppose 143 = -214*u + 344 + 441. Which is the third biggest value? (a) u (b) g (c) -2/5
c
Let k = 138.061 + -138. Let r = k - 0.094. Let v = r - -0.433. Which is the fourth biggest value? (a) v (b) -4 (c) 0.1 (d) -1
b
Let k = -3.853 + 3.953. Let l = -36.11 - -36. Which is the second smallest value? (a) l (b) k (c) 2
b
Let v = 1256/11 + -114. Let j = -230 - -30. Let n = j - -199. Which is the smallest value? (a) v (b) n (c) 0 (d) 0.5
b
Let o be (-744)/(-234) + (-124)/(-806). What is the biggest value in -2/11, -1/9, o, -0.4?
o
Let v be ((-36)/945)/(8/20). Let y = -2.07 + 0.07. Let i = y - -2.5. Which is the second biggest value? (a) v (b) 1 (c) 6/7 (d) i
c
Let g = -11059.6 + 11060. Which is the third biggest value? (a) -29 (b) 0.2 (c) -1 (d) g (e) -3
c
Let f = 510.6 - 511. Let t = 1/3 + -14/15. Which is the biggest value? (a) -3 (b) 4 (c) t (d) f
b
Let s(x) = x**3 - 2*x**2 + 4*x - 10. Let k be s(-3). Let q = k + 69. Let n = 10 - 15. Which is the third smallest value? (a) n (b) q (c) 1/6 (d) -2/5
c
Let f(v) = 3*v + 13 - 36 - 5*v. Let u be f(-9). Which is the fourth smallest value? (a) 0.1 (b) u (c) -15 (d) 0.4
d
Let s = 0 + 0. Let b = -267928 + 267934. What is the second smallest value in b, -0.4, s?
s
Let k = 53 + -85. What is the fourth smallest value in k, -0.14, 0, -6?
0
Let c = -2.322 + 2.022. What is the smallest value in -2/445, 1/6, c?
c
Let j = 37.934 + -38. Let t = 1.716 - 1.35. Let p = t + j. What is the second biggest value in 3/4, 2/45, p?
p
Let v(c) = c**3 + 80*c**2 - 244*c + 417. Let y be v(-83). Let o = -9 - -13. What is the fourth smallest value in -2, y, -24, o?
o
Suppose 20 = -200*m + 205*m. Let p = -2.63 + 0.03. Let r = -5.6 - p. Which is the second smallest value? (a) r (b) -2/5 (c) -1 (d) m
c
Suppose -4*g + 1 = -2*z - 15, -3*g + 26 = -5*z. Suppose -9*l = -4*l + 10. Let q be l - (3 - (-2 + 2)). What is the third smallest value in z, q, -6/13?
-6/13
Let s = 9.7 - -1.1. Let z = s + -10.85. What is the third smallest value in z, -1/4, 1?
1
Let g = -0.443 - 84.457. Let d = g + 85. Let j = 6 - 5.5. What is the third biggest value in j, d, 3/5?
d
Let z = 2264/7 - | {
"pile_set_name": "DM Mathematics"
} |
*j*j)))/j))**24)**39 assuming j is positive.
j**(-2392/11)
Simplify (b**(-2/3)*b*b)**(4/17)*(b**6/b)**25 assuming b is positive.
b**(6391/51)
Simplify (b**(-1/2)/((b*b/((b/(b/(b**(7/3)/b)))/b*b))/b))/(b**2)**(2/53) assuming b is positive.
b**(-77/318)
Simplify (q**(-17/6)/q**(1/10))/(q**6)**15 assuming q is positive.
q**(-1394/15)
Simplify (t**(-4)/(t*(t*t**(2/13))/t*t)*t**(2/3)*t*t**11/t)**(-28) assuming t is positive.
t**(-6020/39)
Simplify (q**29/(q/(q/q**(-2)*q)))/(q/(q*q**(-2/35))*q*q**23) assuming q is positive.
q**(278/35)
Simplify (n**(1/4))**(7/2)/(n**(-2/9)/n)**(-2/31) assuming n is positive.
n**(1777/2232)
Simplify k*k**7*k*k**1*((k/k**8)/k*k)/k**(-1) assuming k is positive.
k**4
Simplify a/(a**(-8)/a)*a**(1/12)*(a**(-2/3)/a)**18 assuming a is positive.
a**(-239/12)
Simplify (((b**(1/11))**(-5/17))**(7/11))**(-3/2) assuming b is positive.
b**(105/4114)
Simplify ((d*d**(-4/9)*d)/(d/(d*d*d**6*d)))/(d/(d*d*d**6)*d**(2/3)) assuming d is positive.
d**(143/9)
Simplify (w/(((w/w**(-2))/w)/w))**(4/5)/(w**(-16)/w*w/(w**9*w*w)) assuming w is positive.
w**27
Simplify (((((q/q**14)/q*q)/q)/q**(3/8))**(-25))**(3/2) assuming q is positive.
q**(8625/16)
Simplify y*(y/(y/y**(9/2))*y)/y*y**(-1/3)*(y/y**2)**(-31) assuming y is positive.
y**(217/6)
Simplify (i/(i*i**(-1))*i)**44/(i*i**(-5))**(1/6) assuming i is positive.
i**(266/3)
Simplify ((c**(-20)/c*c*c**7)**(10/11))**(-2/39) assuming c is positive.
c**(20/33)
Simplify (((r/(r**(2/5)/r))/r)/(r/((r**(11/4)*r)/r)))/(r**(-1/5))**(-1/46) assuming r is positive.
r**(1079/460)
Simplify (((z*z/(z*z/(z**(-2/5)/z))*z*z)**(-3/26))**(-14/9))**13 assuming z is positive.
z**(7/5)
Simplify ((n**7*n)/(n*(n/n**16)/n*n*n))/((n**(4/7)/n*n)/(n**(-2/17)*n)) assuming n is positive.
n**(2536/119)
Simplify u**(-8)/(u/(u*u**(-20)))*u*u*u**(3/8)*u*u**(-33) assuming u is positive.
u**(-461/8)
Simplify r/r**(-1)*r**(-1/16)*(r**4)**(4/15) assuming r is positive.
r**(721/240)
Simplify ((v**(5/3)*v)/v)/((v/((v/(v*v**0*v))/v)*v)/v)*(v/(v/v**(-2/31)))/v**15 assuming v is positive.
v**(-1525/93)
Simplify ((n*n/(n*n**(-35)*n*n))/n)/n**(-28)*n/(n*n*n**(2/99)*n)*n/((n*n**2)/n*n*n) assuming n is positive.
n**(5542/99)
Simplify (x**(2/9)/x*x**(-9))/(((x/(x*x**(-24)))/x)/((x/x**23)/x)) assuming x is positive.
x**(-502/9)
Simplify (o**(-1)*o)**(-10)/(o**(-2)*o**(-13)) assuming o is positive.
o**15
Simplify (o/o**(-1/10))/(o/(o/(o/((o**(-33)/o)/o*o)))*o)*(o**(-1/16)/o)/(o*o/(o/o**(-28))) assuming o is positive.
o**(-717/80)
Simplify (u**(-3)/u**(-1/5))/(u*((u*u/u**(-8))/u)/u*u)**29 assuming u is positive.
u**(-1464/5)
Simplify (j**8*j/(j*j**(-8))*j)/((j**(-1/2)*j)/(j/(j*j**(-2/9)))) assuming j is positive.
j**(301/18)
Simplify ((o*o**1*o)**(-5)/(o**2/o**(-2/13)))**(3/2) assuming o is positive.
o**(-669/26)
Simplify (h**(-2))**(-2/67)*h**12/((h*h*h**(-2/15))/h) assuming h is positive.
h**(11249/1005)
Simplify ((l*l/(l/l**35*l)*l)/(l**(22/3)/l))/((l/(((l**(-1)*l)/l)/l)*l)/(l**(-42)*l)) assuming l is positive.
l**(-46/3)
Simplify (v**(1/2))**(-40)*v**(-1/2)*v**5 assuming v is positive.
v**(-31/2)
Simplify ((n**0)**(-21)/(n**(3/7)*n*n/(n*n*n**(1/3)*n)))**(-9/4) assuming n is positive.
n**(-57/28)
Simplify (k**(-2/41)/k)/k**15*(k/(k/(k**(-5)/k)*k))/(((k*k/(k/(k/((k*(k/k**21)/k*k*k)/k))))/k)/k) assuming k is positive.
k**(-1724/41)
Simplify ((g*((g*g**28*g*g)/g)/g)/g)/g**(-25)*g**(2/3)*g*g/(g/g**(-11)) assuming g is positive.
g**(134/3)
Simplify u**(-3/10)*u*u/(u**(-1/2)*u)*(u/u**(-1/3))/(u**13*u) assuming u is positive.
u**(-172/15)
Simplify ((k*k/(k/(k*k**(-2/9)))*k)**(-5/18)/(k**(-2)*k)**(-45))**(1/20) assuming k is positive.
k**(-1483/648)
Simplify (b/(((b*b**(-10))/b)/b)*b)**(2/17)/(b*(b/(b**24/b*b))/b*b*b**(-14)) assuming b is positive.
b**(638/17)
Simplify (((b**(-1)/b)**(-31))**(3/16))**(-25/4) assuming b is positive.
b**(-2325/32)
Simplify ((y*y*y**(-18))/y)/y**(-13)*(y**(-2/3)*y)/y**(14/5) assuming y is positive.
y**(-97/15)
Simplify ((d**(-2/7))**(2/129)/(d**(1/4)*d**(2/5)/d))**(-1/44) assuming d is positive.
d**(-6241/794640)
Simplify (w*w**38)/(((w/((w*w**(-2))/w*w))/w)/w)*(w**(14/5)/w)/(w*((w/w**30)/w)/w*w) assuming w is positive.
w**(349/5)
Simplify ((d**0/d)**(-3/11)/(d**(-3))**29)**49 assuming d is positive.
d**(47040/11)
Simplify (f**28*f*f**(-3/8)/f)**19 assuming f is positive.
f**(4199/8)
Simplify (d*d/(d*d*(d*(d*d**(-2/3))/d)/d*d)*d*d*d*(d/(d/(d*(d*d**(8/7)/d*d)/d*d)))/d)/(d**10*d*d**(1/2)) assuming d is positive.
d**(-281/42)
Simplify (((w**(-2))**(-5/19))**(-12))**(-29) assuming w is positive.
w**(3480/19)
Simplify ((b*b*b**(-4/13))**25)**(-26) assuming b is positive.
b**(-1100)
Simplify (a**(1/16)*a*a**(2/27))/((a/a**(-2/9))/a*a**(-20)) assuming a is positive.
a**(9035/432)
Simplify (a**(5/7)/a*a)**36*(a*(a/(a**2/a))/a)**23 assuming a is positive.
a**(180/7)
Simplify (z**(-2/51)*z*z*(z*z*z**23*z*z)/z*z*z)/(z*z*z/z**(-11))**(3/11) assuming z is positive.
z**(14666/561)
Simplify (v**(3/4))**(-30)/((v**(1/5)*v)/v**(-3/19)) assuming v is positive.
v**(-4533/190)
Simplify ((i*i**(-2/3))/(((i**(-4/5)*i)/i*i*i)/i*i)*(((i*i*i/(i/((i*i**0/i*i)/i))*i*i*i)/i)/i)**(-29))**(-1/19) assuming i is positive.
i**(1318/285)
Simplify ((((p*(p**8*p)/p)/p)/(p/p**(-1/12)))/(p**(5/4)/(p*(p**(1/5)/p)/p)))**(-38) assuming p is positive.
p**(-2774/15)
Simplify ((o*(o/(o*o**(1/7))*o)/o*o*o/o**8*o)**(-43))**(7/2) assuming o is positive.
o**(1247/2)
Simplify ((d*d**3/d*d/(d**(-1)*d*d))/(d/d**(-2/5))**(-29))**(-8) assuming d is positive.
d**(-1744/5)
Simplify (c**(-3/8)*c*c**5)/(c**(1/4))**(-25) assuming c is positive.
c**(95/8)
Simplify (x**(-1/2))**(2/119)/(x/(x*x**(-4)))**49 assuming x is positive.
x**(-23325/119)
Simplify ((z/(z*z/z**(-6))*z*z/(z/(z/((z*z*z/(z/z**9)*z)/z))*z)*z)/(z**(1/3))**(3/40))**15 assuming z is positive.
z**(-1923/8)
Simplify (u*u**25)/(u/(u**(-1/28)*u*u))*u/u**(-25)*u*u*((u*u/(u**(3/7)/u*u))/u)/u assuming u is positive.
u**(1527/28)
Simplify ((t*t**(1/2)*t*t)**23/(t**1)**31)**(-2/73) assuming t is positive.
t**(-99/73)
Simplify ((y**(-2/17)/((y/y**(10/11))/y))**27)**(-17/3) assuming y is positive.
y**(-1332/11)
Simplify ((s**31*s)/s)/s**(3/8)*(s*s*s**(-4)/s)**(2/49) assuming s is positive.
s**(11957/392)
Simplify ((q/(q**(1/15)/q))/q**(-4/5))/((q/q**8)/q*q*q)**(-10/3) assuming q is positive.
q**(-259/15)
Simplify p/(p/(p*p**(1/2)*p))*p/p**(-30)*p*(p**0*p)/(p/(p/p**(-2/3))) assuming p is positive.
p**(217/6)
Simplify (v**(-3)/v*v)**23/(v*v/v**(-1/3)*v*v)**21 assuming v is positive.
v**(-160)
Simplify m**(-20)*m*(m*m**10*m)/m*m*m*(m/((m*(m/m**(1/21))/m)/m))/((m*m*m**14*m)/m) assuming m is positive.
m**(-440/21)
Simplify ((z*(z**(-7)*z)/z)/z**(-3/4))/(z/z**15*z*z*z/z**(-4/3)) assuming z is positive.
z**(53/12)
Simplify ((t**(-1/5)*t)/t*t**(-32))**(1/2) assuming t is positive.
t**(-161/10)
Simplify (((q/q**(-1/3))/q)/q**19)/(q/(q*q/(q*q*q**(-10)*q*q))*q/(q*((((q/(q**10/q)*q)/q)/q)/q)/q)) assuming q is positive.
q**(-68/3)
Simplify s/s**11*s*s*s/s**(-1)*s*s*(s**9*s)/s**(2/9) assuming s is positive.
s**(52/9)
Simplify (m/(m**(-6/7)/m)*m/m**(-10/3))/(m**(-2/3)/((m/m**(1/3))/m)) assuming m is positive.
m**(158/21)
Simplify (k/(k/(k/k**37))*k**(-24))/(k**(-5)/(k/(k**(1/37)/k)*k)) assuming k is positive.
k**(-1925/37)
Simplify ((q**(-5)/q**5)**(-2/25))**(-18) assuming q is positive.
q**(-72/5)
Simplify (((k**(2/11)*k)/k)/k)/k*k*k**3/k*k*(k/((k*k**(1/3))/k))**(-20) assuming k is positive.
k**(-368/33)
Simplify w/w**8*w*w**12*w*w*(w*w**(1/10))/w*w*w*w**(1/5) assuming w is positive.
w**(103/10)
Simplify (h*(((h**4/h*h)/h)/h)/h*h)**(-6)/(h**(-2)/h*h**(-10/11)) assuming h is positive.
h**(-155/11)
Simplify r**(-4)*(r**(3/2)/r*r*r)/r*(r*r**(-14))/r**(-5) assuming r is positive.
r**(-21/2)
Simplify i/i**(-2/17)*i*i**(-2/7)*(i*i*i/i**(-16/5))/i**(-1/6) assuming i is positive.
i**(29269/3570)
Simplify ((o*o**(3/5))/((o/(o/o**(-1/8)))/o*o)*o*o**(-1)*o*(o*o**6)/o)**(-7/6) assuming o is positive.
o**(-2443/240)
Simplify ((y**(-2)*y/((y*y/y**(2/13)*y*y*y)/y))/(y**(2/9)/((((y/((y/(y/y**1))/y))/y*y*y)/y)/y)))**(29/5) assuming y is positive.
y**(-17197/585)
Simplify (((z*z**(1/6)*z)**(-6/37))**(-5/8))**(-21) assuming z is positive.
z**(-1365/296)
Simplify (u*u*u/u**(4/9)*u/(u**(-33)*u))/(u/(u/u**(-6/5))*(u**(12/11)/u)/u) assuming u is positive. | {
"pile_set_name": "DM Mathematics"
} |
i*o - 1331. Suppose -2*y - 5*a + w = 0, -1 = a - 6. Is 17 a factor of y?
False
Let o(z) = 15*z**3 - 2*z + 7. Let t(y) = 14*y**3 - y + 6. Let d(b) = -4*o(b) + 5*t(b). Let s be d(-1). Let c = 33 + s. Does 4 divide c?
False
Let x(r) = r**3 + 11*r**2 + 3*r + 15. Let m be x(-11). Let n = 23 + m. Suppose -s + 0*s + 5*g + 205 = 0, s + n*g = 165. Does 18 divide s?
False
Suppose -5*b + 1206 = -4*z, -3*z - 918 = -0*b + 3*b. Let u = -266 - z. Does 12 divide u?
False
Suppose -10976 = -2*m + 1824. Suppose -4*j = -4*s - m, 0 = 3*j - 8*j + 4*s + 8001. Is 16 a factor of j?
False
Suppose 13*t + 1133 = 111789. Does 19 divide t?
True
Let x be 2 + 9/(-4) - 781/(-4). Suppose -3*t - 575 = -1736. Let u = t - x. Does 48 divide u?
True
Does 36 divide 81/(-2)*(54 + -92)?
False
Let d(v) be the second derivative of 22*v**3/3 + 12*v**2 - 2*v + 11. Let l be d(4). Suppose 3*w - 7*w + l = 0. Is 7 a factor of w?
False
Suppose 2*q = -2*s - 2, 5*q = -4*s + 8*q + 3. Suppose s = -6*n + 2322 + 5094. Is n a multiple of 70?
False
Let c(x) = 15*x**2 - 192*x + 81. Is c(18) a multiple of 13?
False
Suppose -4*u - 5*y - 16 = 0, -4*u + 3*y - 15 - 1 = 0. Does 10 divide (-241)/u + (-6)/(-8)?
False
Let a(m) = 10*m**2 - 174*m + 4044. Does 2 divide a(23)?
True
Let x(z) be the third derivative of 1/120*z**6 + 13/24*z**4 + 1/5*z**5 + 0 + 0*z + 8*z**2 + 0*z**3. Is x(-10) a multiple of 15?
False
Let b(a) = 33*a + 613. Is b(-4) a multiple of 2?
False
Let w(m) = -m**2 - m - 1. Let j be w(-2). Let o = 2 + j. Does 18 divide (o + 118/10)/(5/25)?
True
Let o(k) be the first derivative of 42*k + 6 + 1/2*k**2. Does 14 divide o(0)?
True
Let s(y) = -408*y - 864. Is s(-4) a multiple of 24?
True
Let s = -7331 - -15809. Is s a multiple of 9?
True
Let n(y) = -20*y**3 - 11*y**2 + 42*y + 370. Does 17 divide n(-13)?
True
Does 11 divide ((-12181)/39)/((20/5)/(-192))?
False
Let h(y) = 29470*y - 814. Does 36 divide h(1)?
True
Let d(c) be the first derivative of -c**4/4 + c**2 - 26*c + 24. Let q be d(0). Does 13 divide (q/(-3))/(-5*2/(-105))?
True
Let a(k) = -54*k**3 - 2*k**2 + 13*k + 8. Is a(-4) a multiple of 20?
True
Suppose 15*t - 19*t + 4402 = 3*j, 2*j + 4 = 0. Does 29 divide t?
True
Suppose -10*v + 4*v + 570 = 0. Suppose -v*h + 97*h = 228. Does 19 divide h?
True
Let s = 10134 + 2758. Is 19 a factor of s?
False
Suppose -19*t + 113 = -20. Let w(k) = 4*k - 9. Let v be w(6). Let d = t + v. Is d a multiple of 22?
True
Let p(b) = b**2 - 15*b + 3126. Is p(115) a multiple of 71?
True
Suppose 4*n = -4*a + 34590 + 50262, 5*a - 106089 = 3*n. Suppose -a = -15*z + 3*z. Is 23 a factor of z?
False
Suppose 5*z - 18609 = -4*m, z = -11*m + 15*m + 3741. Is 32 a factor of z?
False
Let p(b) = 42*b**2 - 976*b + 31. Does 243 divide p(43)?
True
Suppose 0 = 4*n - 3*n - 60. Suppose 417 = 63*x - n*x. Does 5 divide x?
False
Let t = 33562 - 17354. Is 16 a factor of t?
True
Let c = -10649 + 17769. Suppose -24*l + c = -16*l. Is 18 a factor of l?
False
Let v(r) = -2*r**2 + 10*r - 20. Let h be v(6). Let f = -33 - h. Is (f/2*1)/(64/(-30336)) a multiple of 58?
False
Suppose -301 - 29 = -10*d. Suppose 35*x - 136 = d*x. Let h = x + -14. Does 27 divide h?
True
Let f = 1601 - -4924. Does 45 divide f?
True
Let n be 3/(((-20)/(-12))/(5/3)). Suppose -n*p = -4*p + 135. Is 15 a factor of p?
True
Suppose 5*c = -5*o - 10, 3*o + 3*c + 9 = o. Suppose o*m = 151 - 118. Is 8 a factor of m?
False
Let d(i) = -893*i - 587. Is 7 a factor of d(-5)?
True
Let b = 185 + 7. Suppose 2*d - 3*z - b = -0*d, -5*z + 10 = 0. Does 43 divide d?
False
Let y(s) = -s**3 + 45*s**2 + 965*s - 21. Does 2 divide y(-16)?
False
Let p = 34 + -7. Let c = p + -38. Let a = c + 101. Is a a multiple of 13?
False
Let u = 320 + -521. Let p = u - -353. Suppose 12 - p = -h. Is 38 a factor of h?
False
Let d(b) = -2*b**2 - 270*b + 822. Does 6 divide d(-75)?
True
Let r(b) = -4*b - 124. Let m be r(-32). Let o(j) = j**2 + 16. Is o(m) a multiple of 29?
False
Let c(a) = 5*a**2 - 89*a + 1453. Does 45 divide c(22)?
False
Let o(f) = -f**2 + f + 1. Let k(p) = -4*p**2 - 4*p - 7. Let q(u) = k(u) - 3*o(u). Let s be q(-5). Suppose s*x + 123 = x. Is 22 a factor of x?
False
Suppose -3*c + 8 = -j, c - 4 = 4*c + 5*j. Let p(z) = -c - 5*z + 8 + 3. Is 8 a factor of p(-3)?
True
Let x = -9 + 306. Suppose 3*t = -5*c + 880, t = 3*c - c + x. Is t a multiple of 41?
False
Is 24 a factor of (-134405)/(-70) + 11/(-154)?
True
Let z(g) = -g**2 - 2*g + 3. Let n be z(0). Let p(a) = 7 + n*a + 26*a - 133*a**2 + 139*a**2. Is p(-6) a multiple of 8?
False
Is 70 a factor of 2/(-8) - -161*(-4059)/(-44) - -7?
False
Is (2 - (-72)/24) + 4/(4/261) a multiple of 5?
False
Suppose 0 = 4*a + 26 - 2. Let u be a/(-27) + (-1720)/45. Let g = u + 52. Does 7 divide g?
True
Let b = 67 - 64. Let v(i) = -6*i - 4*i**2 + b - 3 - 1 + i**3. Is v(6) a multiple of 5?
True
Let t(q) = 266*q**2 - 183*q + 6. Does 34 divide t(4)?
False
Suppose -7*c - 4137 = 14*c. Let s = c + 485. Is 36 a factor of s?
True
Let f(s) = -48*s**3 + 1067*s**2 + 14*s - 4 - 1065*s**2 - 16*s. Is 49 a factor of f(-2)?
True
Suppose y + x = 319, 11 = -3*x - 4. Suppose 2*g - 908 = y. Is 14 a factor of g?
True
Let g be (-12)/(-18)*(-3)/1*-30. Suppose -2*t + 7*t - g = 0. Is (-4)/(-6) - (-604)/t a multiple of 26?
False
Suppose 14*j - 74 = 262. Let m = -27 + j. Is 4 a factor of (-5 - (19 + 1))*m?
False
Let k(a) = a**3 + 48*a**2 - 55*a - 525. Is 45 a factor of k(-48)?
True
Let r(q) = 4*q + q**3 + 1321*q**2 - 1326*q**2 + 9 - 6*q. Suppose -k = -3*u + 9 - 0, -3 = 2*k - 3*u. Is r(k) a multiple of 6?
False
Let b be (3384/180)/(4/710). Suppose b = 9*c + 124. Is 77 a factor of c?
False
Suppose -3*b - 42 = -90. Suppose -29*j - b + 1437 = 0. Does 7 divide j?
True
Let d = -52327 - -81052. Does 25 divide d?
True
Does 10 divide 7/1 - (-5)/((-25)/(-43665))?
True
Let j(i) be the third derivative of 0 + 0*i + 2/3*i**3 + 1/12*i**5 - 12*i**2 + 1/6*i**4. Does 3 divide j(-2)?
False
Let c(a) = -539*a + 44. Suppose 0 = -18*w - 20*w - 38. Does 11 divide c(w)?
True
Does 44 divide 1/3 - ((-589008)/432 + (-2)/9)?
True
Let p = -126 + 141. Suppose -p = -3*g, -h = -4*g - 301 - 37. Is 36 a factor of h?
False
Suppose 13*p + 1523 - 6463 = 0. Suppose -60 = 2*u - p. Is 10 a factor of u?
True
Suppose -1807*c = -1789*c - 77112. Does 68 divide c?
True
Let l(b) = b**2 - 18*b + 32. Let k be l(12). Let w(u) = 16*u - 4. Let o be w(5). Let f = k + o. Is 9 a factor of f?
True
Let u be (498/5)/(44/(-110)). Let d = 298 + u. Is 15 a factor of d?
False
Let i(v) = -1622*v + 16. Let j be i(-1). Suppose 8*n - j = 3882. Is 40 a factor of n?
False
Let p = -72 - -77. Suppose -2*h - 4*n = -11 - 17, 0 = -5*h + p*n + 145. Is 6 a factor of h?
True
Suppose 3*l + 174 + 171 = 0. Let g = 175 + l. Suppose g = 2*r + 3*r. Does 12 divide r?
True
Let z = -2285 - -2582. Is 27 a factor of z?
True
Suppose -13*b = 8 + 148. Is 23 a factor of (80/b)/((-316)/(-159) - 2)?
False
Suppose 2*o = -3*p + 776, -1289 = -3*p - 2*p + o. Let y be (37/(-13) - -3) + p/13. Is (15/y)/3 - 503/(-4) a multiple of 34?
False
Suppose 200*k - 516*k + 9106488 = 0. Is 18 a factor of k?
True
Let h(m) = -m**3 - 29*m**2 + 4*m + 98. Let r be h(-29). Is 8 a factor of (-5607)/r - 3/(-6)?
True
Suppose 0 = 2693*t - 2667*t - 34944. Is t a multiple of 2?
True
Suppose 5*w = k + 168794, 0 = 111*w - 118*w - 5*k + 236350. Is w a multiple of 10?
True
Let j(h) be the first derivative of h**3 + 9*h**2/2 + 9*h - 60. Does 18 divide j(5)?
False
Let a(x) = 4*x + 38. Let l be a(5). Suppose 8*v - l + 2242 = 0. Is v*2/(-2) - 3 a multiple of 15?
True
Let o = 524 + -738. Let j = o + 144. Let f = j + 143. Does 10 divide f?
False
Suppose x - 4*o - 12907 + 541 = 0, 0 = 4*x + 3*o - 49616. Does 3 divide x?
False
Suppose 0 = -b + f + 15, -5*f + 2 = -b - 3. Suppose 4*g = -v - b, -3*g - 38 = -4*v - v. Is (g/4)/((-51)/(-60) + -1) a multiple of 7?
False
Let c be (-35626)/(-16) + ((-525)/(-56))/25. Suppose 2*z + 15*z = c. Is z a multiple of 39?
False
Let y(v) = -2. Let p(w) = -w**2 - 55*w + 142. Let i(d) = p(d) + 4*y(d). Is 14 a factor of i(-25)?
False
Let r = 46 + -41. Suppose 0 = 3*z + r*x + 19 - 84, 3*z + x = 49. Suppose z*y - 168 = 8*y. Is 12 a factor of y?
True
Let s(w) = -w**3 + 9*w**2 + 12*w - 23. Let r be s(10). Let v be 1*(r - (-54)/(-3)). Is 19 a factor of (19/3)/(4 - (-77)/v)?
True
Suppose 11*j - 45 = 20*j. Let k(a) = | {
"pile_set_name": "DM Mathematics"
} |
- s for a.
4
Solve h = -1, y - 5*h - 4 + 3 = 0 for y.
-4
Solve -4*r = -4*s - 28, -568*s + 570*s - 49 = -5*r for s.
2
Solve 5*v - 5*d = 13 + 12, -4 = 4*d for v.
4
Solve -3*n - w + 160 = 162, 2*w + 14 = 4*n for n.
1
Solve -o = 3*r + 1, -4*o - 12*r = -7*r - 3 for o.
2
Solve 239*x + 18 = 241*x - 4*a, -2*x = 5*a + 9 for x.
3
Solve 0 = -l + 112 - 108, 35 = 3*g + 5*l for g.
5
Solve 3*h - 6*q - 6 = -5*q, -2*h - 2*q = -12 for h.
3
Solve -2*s - 4*w = s + 13, 5*s = -5*w - 15 for s.
1
Solve 3*m + 5*u = u + 2, 4 = -5*m - 3*u for m.
-2
Solve 17 = 5*h + 5*q + 22, 0 = 5*q - 20 for h.
-5
Solve 2*m = 5 + 5, 2*m - 2 = -4*y for y.
-2
Solve 4*j + 18 = -5*d, -9*d + 13*d + 2*j = -12 for d.
-2
Solve 0 = 5*r + 5*l - 20, -r = 2*l - 9 + 4 for r.
3
Solve -19 = -2*d + 3*h + 2*h, -5*h = 15 for d.
2
Solve -3*c + 2*a = 6*a + 9, 5*c + 4 = -3*a for c.
1
Solve -13*v + 10*v = -4*r - 5, 3*v + 3*r = 12 for v.
3
Solve -5*b - 25 - 25 = 5*p, -45 = 5*b + 4*p for b.
-5
Solve 0*k - 2*q = -3*k - 2, -2*q - 2 = -5*k for k.
2
Solve 4*w = 4*n + 4, -5*w - 8 - 27 = 5*n for n.
-4
Solve 3*m + 2*w - 1 = 0, -w + 41 = -5*m + 60 for m.
3
Solve 11*b - 10*b + 4*x + 10 = 0, 4 = 2*b - 4*x for b.
-2
Solve 8*t - 3*t = -5*s - 5, 5*s = -3*t - 3 for t.
-1
Solve -1 = i - 3*y - 3, 3*y = 4*i - 17 for i.
5
Solve l - 5 = 389*i - 385*i, 8 = 3*l - 5*i for l.
1
Solve -4*z - 5 + 16 = i, -i - 16 = -5*z for z.
3
Solve 2*r = -3*g + 3, -6*r = -2*g - r + 21 for g.
3
Solve 3*d - 25 = 4*f, -13 + 10 = -3*f - 5*d for f.
-4
Solve 3*k - 12 = -3*u, 0 = -3*u - k - 62 + 66 for u.
0
Solve 0 = 3*h + 4*y - 31, -3*h + 18 + 9 = 3*y for h.
5
Solve -7*t + 2*t = 3*r - 20, -5*r = 3*t - 12 for t.
4
Solve 18*o - 16*o - 3 = -t, 3*o = -3*t + 12 for o.
-1
Solve -4*w = 2*g - 10, 4*w - 2*w - 6 = 0 for g.
-1
Solve 36*d - 39*d - 9 = -3*v, 2*v = -4*d for v.
2
Solve -5*v = -10, 0*y + 5*y - 16 = 2*v for y.
4
Solve 0 = -56*n + 52*n + 5*f + 16, -2*f - 10 = 2*n for n.
-1
Solve 2*r - 8 = 5*f, -4*r - r - 5 = 0 for f.
-2
Solve 5*d = 5*u, 0*d - 3*u - 32 = 5*d for d.
-4
Solve -c = 4*w - 13, -4*w - w = -15 for c.
1
Solve -4*h = 4*t + 4, 4*t + 103*h + 16 = 102*h for t.
-5
Solve w - 8 = 2*i, -3*w + 4*i = -17 - 3 for w.
4
Solve v = 4*p - 16, -3*p + 15 = -4*v - 10 for v.
-4
Solve 4*q = 5*q - 3, 0 = 2*h - 5*q + 9 for h.
3
Solve -5*i - 12 = -3*i + r, 4*i + 28 = -3*r for i.
-4
Solve -3*n - i + 6 = 0, -2*i + 4 = -5*n + i for n.
1
Solve -4*z + 5*u + 22 = -15, z - u - 8 = 0 for z.
3
Solve 5*d + 20 = 5*g + 6*d, 4*d = 0 for g.
4
Solve 53*d + 4*y + 14 = 52*d, y - 6 = -5*d for d.
2
Solve 0 = -31*v + 34*v - 2*h - 3, -12 = -4*h for v.
3
Solve -25 = -0*l - 5*l - 2*c, -4*l - 2*c = -22 for l.
3
Solve 2*t + 12*p - 15*p - 6 = 0, 3*t - p - 2 = 0 for t.
0
Solve -h + 4*j - 23 = 0, -18*j + 15*j + 9 = 2*h for h.
-3
Solve -4*t - 4*p - 16 = 0, 63*p = -2*t + 58*p - 20 for t.
0
Solve -5*r = z + 3, 0 = 2*r - 0*r + z + 3 for r.
0
Solve 5*h = 3*g - 14, g + 2*h + 4 - 5 = 0 for g.
3
Solve -2*k = 3*h - 14, 4 = 3*k - 5*h + 2 for k.
4
Solve f - d = 0, -2*f + 7 + 5 = 4*d for f.
2
Solve -2*m - 3*m + 16 = -4*o, m - 20 = 5*o for m.
0
Solve -2*w - 13 + 35 = -5*t, -14 = 4*t + 2*w for t.
-4
Solve 5*g = -12*u + 13*u - 12, 0 = 4*u + 4*g for u.
2
Solve -7 = -3*m + 4*x, 2*m = 4*x - 1 + 3 for m.
5
Solve 2*r + 0*w = 2*w - 10, -3*w = r - 3 for r.
-3
Solve 0 = -y - 38*i + 35*i + 11, 3*y + 2 = -2*i for y.
-4
Solve 8*k - 6 = 6*k + 2*w, 0 = -k - 3*w - 9 for k.
0
Solve 4*g + 8 = 0, 4*i + 150*g = 147*g + 10 for i.
4
Solve 0 = s - 5, 2 = -2*u + s - 3 for u.
0
Solve 17 = m + 5*u, 5*u = 2*m - 7*m + 5 for m.
-3
Solve 0 = 2*q - z + 6, -15*q + 5*z = -20*q for q.
-2
Solve 4*m - 20 = 0, 3*o + m - 2*m + 2 = 0 for o.
1
Solve 2 = -2*n + 4*l, 2*n - 10 = -3*n - 5*l for n.
1
Solve 22*x - 5*n = 20*x + 33, 3*x = -5*n - 13 for x.
4
Solve -3*o + 0*p - 3*p = 0, -2*o = -3*p + 10 for o.
-2
Solve -4*b - 5*x + 10 = 0, x + x = -4 for b.
5
Solve 2*q = x + 4, 3*x + 3*q = -x + 17 for x.
2
Solve 0 = 5*i + j - 17, -17*i + 22*i - 5 = 5*j for i.
3
Solve 5*u = 3*l + 31, 4*l + u = 7*l + 11 for l.
-2
Solve -20 = 5*y + 3*x + 4, 0 = -5*x - 15 for y.
-3
Solve 0 = 5*q + 33 - 23, -5*x + 31 = -3*q for x.
5
Solve 5*c = 5, -c + 16 = -v + 4*v for v.
5
Solve 5*k - 25 = -0*i - 4*i, 2*k - 3*i + 13 = 0 for k.
1
Solve -q - 12*a + 7*a = -6, -5*a + 2 = -3*q for q.
1
Solve 0 = -3*l - k - 2, -3*l - 11*k = -7*k + 8 for l.
0
Solve 0 = -5*b + 2*s - 19, -6*b = -2*b - 2*s + 14 for b.
-5
Solve 4*v - 260 + 270 = 2*c, 2*c + 2*v = -2 for c.
1
Solve 0 = 4*l + 4*i - 3*i + 13, -22 = 4*l - 2*i for l.
-4
Solve 4*d = 5*s - 27 + 45, 5*s + 5*d = 0 for s.
-2
Solve -5*d + 3*d + 11 = -3*j, 3*d + 3*j - 9 = 0 for d.
4
Solve -4*b + 13 = -7*t + 2*t, -4*t = 3*b - 2 for b.
2
Solve 0 = -l + 5*b - 13, -3*l - 4*b = -2*b + 5 for l.
-3
Solve -6*u + n + 17 = -u, 31 = 4*u + 5*n for u.
4
Solve -b - 3*o = 11, -3*o = 4*b - 21 + 20 for b.
4
Solve 4*v - 4*l = 6*v - 10, 2*l - 23 = 5*v for v.
-3
Solve -4*y = 12, 2*y - 3 = 4*t + 3 for t.
-3
Solve 0 = y - 2*v + 6, 2*v + 6 = -5*y - 0*v for y.
-2
Solve -s - 7 = 4*j, 3*s + 7 = -5*j - 0*j for s.
1
Solve 4*v + 41 = 4*r - 9*r, 3*r + 15 = 0 for v.
-4
Solve x - 20 = 4*h, x - 3*x = 3*h + 15 for h.
-5
Solve 0 = 3*n + 5*h + 6, -2*h + 2 = -n for n.
-2
Solve 0 = -b + 2*l - 11, 0*l - 11 = 5*b + l for b.
-3
Solve -5*c = k + 23, 0 = 23*c - 21*c - 2*k + 2 for c.
-4
Solve -4*i - 2*k + 3 = -9, -k = -3*i + 9 for i.
3
Solve 2*v - 8 - 2 = -5*n, 5*v = -3*n + 6 for v.
0
Solve 3*x + 17 = -0*x - 5*d, -13 = 4*x - 3*d for x.
-4
Solve z - 4 = 2*o, -z + 8*o + 8 = 5*o for z.
-4
Solve -3*i - 7 = -5*y, 0 = i + 9*y - 11*y + 3 for i.
1
Solve 4*n - 2*l + 6 = 0, 2*n + 5*l = -0 - 33 for n.
-4
Solve -4*v - 1236*x + 1234*x - 18 = 0, 3*v + x + 12 = 0 for v.
-3
Solve -5*w + 16*d = 21*d + 50, -22 = 3*w + d for w.
-6
Solve -5 = 5*t + 3*c + c, -3*c - 4 = 4*t for t.
-1
Solve -3*s - 4*l = -15, -16*s + 5 = -15*s + 4*l for s.
5
Solve -28*o + 2 = -2*q - 30*o, 2*q + 11 = -5*o for q.
2
Solve -9 = -3*v, -v = -2*l - l for l.
1
Solve -4*y = -4, 13*u + 3*y - 2 = 66 for u.
5
Solve -5*d + 3*d = -4*l - 8, -5*l - 21 = 3*d for d.
-2
Solve 0 = 3*a - 4*h - 25, 46*a - 51*a + 5*h + 35 = 0 for a.
3
Solve -g + 5*d = 7*d + 9, 8 = -2*g + d for g.
-5
Solve 0 = 3*g - 12, 0 = -5*m - 3*g + 7 - 5 for m.
-2
Solve 2*m + 10 = -5*h, 5*h = -5*m + 4*h + 21 for m.
5
Solve 5 = 3*o - 4*z, -3*o - 30*z + 11 = -28*z for o.
3
Solve -4 + 5 = t + 5*n, 0 = -4*n for t.
1
Solve -o + 4*l = -29 + 9, -4*l = 3*o + 4 for o.
4
Solve -v - 4*v = -f + 16, 2*v + 24 = -4*f for f.
-4
Solve -2*q = 4*a + 14, 0 = q - a - 0 - 8 for q.
3
Solve 0 = -2*p + h - 1, -p - 2*h = 2*h - 13 for p.
1
Solve 0 = s + k + 6, 0 = 2*s - 5*k + 104 - 127 for s.
-1
Solve p = b + 3, 4*b - 8 = 7*b - 2*p for b.
-2
Solve -74*z - 10 = 5*g - 79*z, g = 5*z - 18 for g.
2
Solve 14 = 3*z + 4*w, 0*z - 14 = -4*z - 3*w for z.
2
Solve -18 = h - 4*t - 43, -t = 5 for h.
5
Solve 2*p + 5*h = -15, -2*p - h - 3*h = 12 for p.
0
Solve -4*z = 3*n - 27, n - 40 = -35 for z.
3
Solve 2*x = -4*i + 20, 4*i + 5*x - 2 = 6*x for i.
2
Solve -2*m - 12 = 2*m, -5*m = 2*i + 21 for i.
-3
Solve -f - 19 = -4*s, 10*f - 6*f + 12 = 0 for s.
4
Solve z = -3, z - 7 = -5*x + 5 for x.
3
Solve 3*j = 4*k - 3, -j = -11*k + 13*k + 1 for k.
0
Solve 5*b - 30 = 5*t, -2 = 5*b + 5*t - 22 for b.
5
Solve -16*c = a - 18*c - 7, 0 = 4*a - c for a.
-1
Solve 5*a - 11 = 2*q, -9*a + 10*a + 7 = 5*q for a.
3
Solve 4*p + 2*d + 2 = 0, 2*p + 3*d + 0 - 1 = 0 for p.
-1
Solve 3*a + 3*l - 6 = 0, 3*a + 4*l - 2*l = 6 for a.
2
Solve -2*f - 6 = -2*x - 10, -3*x = 2*f - 14 for x.
2
Solve -1 = -2*r + i + 7, 2*r + 3*i = -8 for r.
2
Solve j = 3*o - 16 - 4, 5*o + 5*j = 0 for o.
5
Solve -5*a - 4*b - 12 = 0, 0 = a + 2*a - 3*b + 18 for a.
-4
Solve 3*j - 2 = -4*a - 17, 2*j - a - 1 = 0 for j.
-1
Solve 4*s - 3*p + 12 = -p, -5*p = -3*s + 5 for s.
-5
Solve 6*p + 4 = -4*t + p, 0 = 5*t + 5*p for t.
4
Solve 2*m + f + 11 = 0, -5*m - 4*f - 25 = 10 for m.
-3
Solve 9 = -3*b - 3*f, -4*b - 12 = 6*f - f for b.
-3
Solve -5*n + 2*n = 2*z - 16, 3*z - n = 2 for z.
2
Solve -3*l + m + 20 = 0, 2*l - m = 5 + 10 for l.
5
Solve -25 = 5*c - 16*l + 11*l, 20 = 5*l for c.
-1
Solve -1 = -o - 5*m, -o + 1 = -m + 2*m for o.
1
Solve 2*w + 2*c = -12, 8*c = -3*w + 6*c - 15 for w.
-3
Solve -4*h + 2*p = 6, 0 = -2*h - h + 2*p - 2 for h.
-4
Solve 10 = 4*z + 2*r, 2*r = -0*z + z for z.
2
Solve -2*y - 2 = -2* | {
"pile_set_name": "DM Mathematics"
} |
e.
q**(96/7)
Simplify (u*u**(-3))/(u*u*u*u*u**1*u)*(u*u/((u*u*u**0)/u))**(-3/32) assuming u is positive.
u**(-259/32)
Simplify (z**(-6)/(z*z**16))**(-30) assuming z is positive.
z**690
Simplify (l**37*l)/l**(7/3) assuming l is positive.
l**(107/3)
Simplify u**(1/8)/(u/u**0)*((((u*u**(1/4))/u)/u)/u)/u*u**(3/4) assuming u is positive.
u**(-23/8)
Simplify ((n*(((n/(((n*(n*n**(-3)*n)/n*n)/n)/n*n))/n)/n)/n)**(2/51))**(-3/47) assuming n is positive.
1
Simplify (t/(t/t**2))**45*t*t/(t/(t*t**(-5)*t))*t**(-2/9)*t assuming t is positive.
t**(799/9)
Simplify ((w*((w*(w**0/w)/w*w)/w)/w*w)**18)**(-1/9) assuming w is positive.
1
Simplify m*m**(-5/6)/m*m*m**(3/4) assuming m is positive.
m**(11/12)
Simplify (b**(-2/5))**(-16)*b**(1/3)*b*b*b**(3/7)/b*b assuming b is positive.
b**(962/105)
Simplify z/(z*z/(z*z**(-20/3)/z*z))*z**(1/23) assuming z is positive.
z**(-457/69)
Simplify (l/l**(-1/15))**(-12/17) assuming l is positive.
l**(-64/85)
Simplify (((y/(y*y**(-1)*y)*y)/y)/y)**(-3/7)/(y**(2/7))**3 assuming y is positive.
y**(-3/7)
Simplify (s*s**(-15))**11 assuming s is positive.
s**(-154)
Simplify (v**(-2/11)*v**10)**(2/13) assuming v is positive.
v**(216/143)
Simplify f**(-13)*f**29 assuming f is positive.
f**16
Simplify v**45*v**(-16/5) assuming v is positive.
v**(209/5)
Simplify (t**0*t)**(3/2) assuming t is positive.
t**(3/2)
Simplify ((n*((n*(n/(n/(n/(n*n*n*(n**7/n)/n*n)*n)))/n)/n)/n)/n)/((n/(n*n**(-3/8)/n)*n)/n)*(n**(-2/5)*n)**(2/15) assuming n is positive.
n**(-2059/200)
Simplify (y*y**(1/6)/y)**(-42) assuming y is positive.
y**(-7)
Simplify ((k*k*k/k**(-3/5))/k**(-10))/(k*k*k*k**(-2)/k*k*k**2*k) assuming k is positive.
k**(48/5)
Simplify ((b/b**(-2/7))/(b**(-1/4)/b))**22 assuming b is positive.
b**(781/14)
Simplify (c*c/((c/c**(3/8)*c*c)/c))**(-4/23) assuming c is positive.
c**(-3/46)
Simplify (f**(-1/25)*f)/(f/f**(-9)) assuming f is positive.
f**(-226/25)
Simplify v/v**(-17/5)*v**(-22) assuming v is positive.
v**(-88/5)
Simplify (o**(-2)/o**(-5/9))**27 assuming o is positive.
o**(-39)
Simplify d**13/d*d*d*d/(d*d*d**(-2/15)/d*d*d) assuming d is positive.
d**(182/15)
Simplify m*m/m**1*m*m*m**7 assuming m is positive.
m**10
Simplify (((k**1/k)/k)/k)**(-1/25)*k/(k/(k/(k*k**(-2/3))))*k**(2/3)*k assuming k is positive.
k**(181/75)
Simplify ((z/(z/(((z**(-2)/z)/z)/z*z*z)))**(-48))**(-1/33) assuming z is positive.
z**(-48/11)
Simplify y**2*y*y*y**(-2)*((y*((y**(-1)*y)/y)/y)/y)**40 assuming y is positive.
y**(-78)
Simplify (h**(-1)/h)**43*((((h/(h/(h**(-1)/h*h)))/h*h)/h)/h)/h**3 assuming h is positive.
h**(-92)
Simplify (c**(-1)*c*c)**(-4)/(c**0*c)**(-12/7) assuming c is positive.
c**(-16/7)
Simplify (c**(2/9)*(c/(c*c/(c*c**(-2/5))*c)*c)/c)/(c*c**(-1/3)*c**(-3/5)) assuming c is positive.
c**(-56/45)
Simplify (p*p**(-3/16))/(p*p*((p/(p/(((p**2*p*p)/p)/p)))/p)/p*p) assuming p is positive.
p**(-35/16)
Simplify (i**(2/17)*i*i**(-1/6))**45 assuming i is positive.
i**(1455/34)
Simplify (h**6*h/(h*(h*h**(-1/3))/h))/(h**(-2/21)/(h/(h*h**(3/2)))) assuming h is positive.
h**(69/14)
Simplify (u**(2/9)/u)**(-1/25) assuming u is positive.
u**(7/225)
Simplify b*b**(-18)/b*b*b*b**(2/21) assuming b is positive.
b**(-334/21)
Simplify n*n**(1/8)*n*n*n*n/(n*n*(n**(5/2)/n)/n*n*n)*n assuming n is positive.
n**(13/8)
Simplify (p**(-2/7))**(23/2)*(p/p**(-2/7)*p)**(-5/6) assuming p is positive.
p**(-109/21)
Simplify (g**(-2/3))**(-25)/((g**(-4/5)/g)/(g/(g*g**(-3/4)*g*g*g*g))) assuming g is positive.
g**(913/60)
Simplify (c**(-1/5)*c)**(33/5)/(c**9/(c/(c*c/(c*c**7)))) assuming c is positive.
c**(82/25)
Simplify (v**1/v)**33*(v**(2/9)/v)/v**(-3) assuming v is positive.
v**(20/9)
Simplify (g**(-1/6)*g*g**(1/8))/(g/(g/(g/g**3))*g*g*g**(-7)*g) assuming g is positive.
g**(167/24)
Simplify (a**(-1)*a)**(-25)*(a*a**(-2/9))**46 assuming a is positive.
a**(322/9)
Simplify ((v/(v/((v*v/(((((v/(v*v**(-1/2)*v*v))/v*v)/v)/v)/v)*v)/v)))/(v/v**(3/10)))/(v**(-6/11)/(v/v**(3/2))) assuming v is positive.
v**(643/110)
Simplify ((a/a**(1/6))/a**2)**(2/35) assuming a is positive.
a**(-1/15)
Simplify i**16*i**11 assuming i is positive.
i**27
Simplify (l*l**(1/11)/l)/((l*l**(-18))/l) assuming l is positive.
l**(199/11)
Simplify ((r*r/((r/(r*r**(-5)))/r)*r)/((r/(r**(-3/8)/r))/r))/(r**4/r**(-3)) assuming r is positive.
r**(-75/8)
Simplify (g**3)**38 assuming g is positive.
g**114
Simplify w/(w/((w**21*w)/w))*w/((w/w**10*w)/w) assuming w is positive.
w**31
Simplify (b*b**(-5))/b*b**(-2/27) assuming b is positive.
b**(-137/27)
Simplify (o/((o*o/o**(-36))/o))/o**18 assuming o is positive.
o**(-54)
Simplify (q**(-1/4)/q*q)**(-2)/(q**(-6)*q*(q/q**(3/4))/q) assuming q is positive.
q**(25/4)
Simplify (s**(-9)*s/((s/(s*s**(6/13)))/s)*s)/(s*s**(-7)*((s/s**(2/15)*s)/s)/s) assuming s is positive.
s**(116/195)
Simplify a**(-11)*(a*a**(-15)*a)/a assuming a is positive.
a**(-25)
Simplify (d**(-1)/((d/d**(5/2))/d*d))**(4/15) assuming d is positive.
d**(2/15)
Simplify ((d/(d*d**(-13)))/d)/d*d/(d/((d/(d*d**(1/28)))/d*d))*d assuming d is positive.
d**(335/28)
Simplify ((t/((t*t/((((t*(t/(t/t**(-19)))/t*t)/t)/t)/t))/t))/(t/t**10))**(1/5) assuming t is positive.
t**(-12/5)
Simplify g**(25/4)/(g/((g**20*g)/g)) assuming g is positive.
g**(101/4)
Simplify g/g**24*g*(g*g**25)/g assuming g is positive.
g**3
Simplify (q**(-12))**(-4) assuming q is positive.
q**48
Simplify ((q**(1/2)*q)/q**2)/(q**1)**(-49) assuming q is positive.
q**(97/2)
Simplify k*k**(-37)*k**(7/5) assuming k is positive.
k**(-173/5)
Simplify s**(-46)/(s**(-2/57)*s) assuming s is positive.
s**(-2677/57)
Simplify (w**5/w*w*w*(w*w/(w*w**(-2/25)))/w)**(-12) assuming w is positive.
w**(-1824/25)
Simplify (p**(-1/2)*p**4)/(((p*p/p**6)/p)/p**1) assuming p is positive.
p**(19/2)
Simplify (g**25*g)/(g*g*g*g**(7/3)) assuming g is positive.
g**(62/3)
Simplify ((i/(i*i**(-2/3)/i)*i)/i)**26*i**(-5)/(i/((i/((i*i/((i/(i*(i*i**(-6/7)*i*i)/i))/i)*i*i)/i))/i)) assuming i is positive.
i**(676/21)
Simplify (((d/d**(1/2))/d*d)/((d/(d/d**(-1/6))*d)/d*d))/((d*d/d**(-7)*d)/(d*(d/d**0)/d)) assuming d is positive.
d**(-28/3)
Simplify ((d/(d**4/d))/d*d*(d/((d/(d/(d**(2/29)/d)))/d*d))/d*d)**17 assuming d is positive.
d**(-34/29)
Simplify (w/w**(-6))/w**(2/7)*w**(-7)/(w*w**(3/7)/w) assuming w is positive.
w**(-5/7)
Simplify (((x/(x/(x**2*x))*x)/x)**(-17))**17 assuming x is positive.
x**(-867)
Simplify ((i/((i*i**(-2/3)/i)/i))/i**(-1))/(i/(i/(i/i**(-1/3)))*(i/(i*(i/(i**2/i)*i)/i))/i*i) assuming i is positive.
i**(7/3)
Simplify ((u**(2/9))**(1/2))**20 assuming u is positive.
u**(20/9)
Simplify ((i/(i/i**(-4/5)))/i)**(-2/19) assuming i is positive.
i**(18/95)
Simplify a*a**1/a*a*a*a**26 assuming a is positive.
a**29
Simplify (p*p**(-1))**(-35) assuming p is positive.
1
Simplify u**(-4)*u*u**(-1/16)*u*u*u assuming u is positive.
u**(-1/16)
Simplify z/((z*z**2)/z)*z*z*z**(8/3)*z*z**(-4/7)*z**4*z assuming z is positive.
z**(191/21)
Simplify (((c**(-8)/c*c)/c)/c)/(c*c*(c*c**(-6))/c) assuming c is positive.
c**(-6)
Simplify (d**(-6/17)/d)/d*d*d*d*d*d**(-4) assuming d is positive.
d**(-40/17)
Simplify x/x**(-1/4)*x**(3/7) assuming x is positive.
x**(47/28)
Simplify b**(1/11)/(b*b**(1/34)) assuming b is positive.
b**(-351/374)
Simplify (k/((k/(k**(1/4)*k))/k))**37/(k/(k/(((k*k**(3/5))/k)/k))*k)**24 assuming k is positive.
k**(1377/20)
Simplify (m*m**(-2/29)/m)/((m**42*m)/m*m) assuming m is positive.
m**(-1249/29)
Simplify ((p*p**(1/4)*p)/p)**16/(p*p**6*p*p/((p**9/p)/p*p)) assuming p is positive.
p**19
Simplify ((h**0*h)**(1/36))**(8/5) assuming h is positive.
h**(2/45)
Simplify ((g/(g**(-1/10)*g))/g)/g**(1/10) assuming g is positive.
1/g
Simplify (v/(v**(-3/11)/v))**(2/7) assuming v is positive.
v**(50/77)
Simplify x/(x**(8/9)/x)*x*x*x**(-41)/x*x assuming x is positive.
x**(-341/9)
Simplify (f**(2/9))**(-47)/(f**(-2/5))**(-34) assuming f is positive.
f**(-1082/45)
Simplify (s*s*s*s**(2/3)*s**(-21))**(23/3) assuming s is positive.
s**(-1196/9)
Simplify (b*b**(6/5)*b**(7/3)/b)**(-16) assuming b is positive.
b**(-848/15)
Simplify (d*d*d**0/d)**(-15)/((d*d*d**(8/5)*d*d*d)/d**(-2/5)) assuming d is positive.
d**(-22)
Simplify q/(q/q**(-4/9)*q)*q**3*(q**(1/2)/q)/(q**6*q) assuming q is positive.
q**(-107/18)
Simplify ((m*m*m**(-1/8)*m*m*m)/m*m*m**(-2/27))**45 assuming m is positive.
m**(5185/24)
Simplify ( | {
"pile_set_name": "DM Mathematics"
} |
years.
714087.9
How many nanometers are there in 0.5718607 micrometers?
571.8607
How many days are there in 85.590891us?
0.0000000009906353125
How many minutes are there in 1.5767595us?
0.000000026279325
How many decades are there in 50543.71 years?
5054.371
How many centuries are there in 0.038035 decades?
0.0038035
Convert 31.05087 decades to years.
310.5087
Convert 22.533492 milliseconds to minutes.
0.0003755582
Convert 341956.1 millilitres to litres.
341.9561
What is 1/100 of a litre in millilitres?
10
What is 62905.57nm in millimeters?
0.06290557
Convert 0.6016116 millennia to months.
7219.3392
What is 43/2 of a litre in millilitres?
21500
How many years are there in 13/5 of a decade?
26
How many millilitres are there in 11/4 of a litre?
2750
How many centimeters are there in 84.77121mm?
8.477121
Convert 8.075125 millennia to centuries.
80.75125
What is eleven quarters of a year in months?
33
What is 461.49138 minutes in days?
0.320480125
What is 3/10 of a day in minutes?
432
What is 332.76744ns in days?
0.000000000003851475
How many kilometers are there in 2.759594 centimeters?
0.00002759594
How many centimeters are there in 6/25 of a meter?
24
What is 9565.807 kilograms in tonnes?
9.565807
How many months are there in 3/25 of a century?
144
How many kilograms are there in 74.66329 milligrams?
0.00007466329
What is 7.622312l in millilitres?
7622.312
What is 3/40 of a meter in millimeters?
75
How many millimeters are there in 965406.4 meters?
965406400
What is 9967.528 centimeters in nanometers?
99675280000
How many millilitres are there in fourty-five halves of a litre?
22500
What is 0.8915727 tonnes in kilograms?
891.5727
How many months are there in fifty-five sixths of a century?
11000
Convert 63.02674 millimeters to kilometers.
0.00006302674
What is 3.75138nm in meters?
0.00000000375138
What is eleven tenths of a litre in millilitres?
1100
What is 9973.637ug in kilograms?
0.000009973637
What is 3/8 of a meter in millimeters?
375
What is 8/25 of a litre in millilitres?
320
What is nineteen quarters of a millennium in years?
4750
Convert 0.0198277um to nanometers.
19.8277
How many millimeters are there in three tenths of a centimeter?
3
Convert 154.8999 millennia to years.
154899.9
What is 451.181682 minutes in weeks?
0.0447600875
Convert 6998.768 years to months.
83985.216
Convert 133.58 millilitres to litres.
0.13358
How many decades are there in 15.7008 centuries?
157.008
What is nineteen quarters of a hour in minutes?
285
How many minutes are there in 42.25153 days?
60842.2032
What is 940036.5mm in centimeters?
94003.65
What is 2.261252 weeks in minutes?
22793.42016
Convert 4.9157748 milliseconds to hours.
0.000001365493
What is 11/2 of a gram in milligrams?
5500
Convert 170849.8 millilitres to litres.
170.8498
What is 13/5 of a meter in centimeters?
260
Convert 518149.6m to millimeters.
518149600
How many grams are there in 0.6267115mg?
0.0006267115
Convert 75514.2318 seconds to weeks.
0.1248581875
How many nanometers are there in 1/10 of a millimeter?
100000
How many kilometers are there in 3392.32mm?
0.00339232
How many millilitres are there in 21/4 of a litre?
5250
What is 45.2511 grams in micrograms?
45251100
How many seconds are there in four thirds of a minute?
80
Convert 198455.04 minutes to hours.
3307.584
What is 445.5561 hours in microseconds?
1604001960000
How many minutes are there in 15123.62 hours?
907417.2
How many centimeters are there in 1/5 of a meter?
20
How many minutes are there in seven fifteenths of a hour?
28
How many decades are there in three fifths of a millennium?
60
What is 3/40 of a millimeter in nanometers?
75000
How many nanometers are there in 11/2 of a micrometer?
5500
How many decades are there in 867708.5 years?
86770.85
Convert 4.194321 millimeters to meters.
0.004194321
How many microseconds are there in 492539.2 days?
42555386880000000
Convert 29.29284t to kilograms.
29292.84
What is two ninths of a week in minutes?
2240
What is 977.5376 millennia in decades?
97753.76
What is 9.990527 centuries in years?
999.0527
How many milliseconds are there in four fifteenths of a minute?
16000
Convert 45307.95 tonnes to grams.
45307950000
How many nanoseconds are there in 13/4 of a microsecond?
3250
Convert 241814.5 milligrams to grams.
241.8145
What is 75/2 of a gram in milligrams?
37500
How many nanometers are there in five eighths of a micrometer?
625
How many millennia are there in 97728.7 decades?
977.287
How many kilometers are there in 0.6452345nm?
0.0000000000006452345
How many micrograms are there in 27/2 of a milligram?
13500
What is nineteen quarters of a gram in milligrams?
4750
How many decades are there in six fifths of a millennium?
120
How many micrograms are there in sixty-three eighths of a milligram?
7875
How many micrograms are there in 18/5 of a milligram?
3600
What is 9/10 of a day in seconds?
77760
How many centimeters are there in 0.6493781km?
64937.81
Convert 48.20017 grams to tonnes.
0.00004820017
What is 6475.452 decades in millennia?
64.75452
How many grams are there in 11/10 of a kilogram?
1100
What is 1078.101 milligrams in nanograms?
1078101000
What is 8/3 of a day in hours?
64
What is three eighths of a kilometer in meters?
375
What is ten thirds of a century in months?
4000
What is 26948.616 months in decades?
224.5718
What is 47/4 of a micrometer in nanometers?
11750
What is 82.93697 kilometers in centimeters?
8293697
What is 3/8 of a kilometer in meters?
375
How many hours are there in fifteen quarters of a week?
630
How many millilitres are there in 45/4 of a litre?
11250
How many micrograms are there in thirty-two fifths of a milligram?
6400
How many hours are there in 314989.2 minutes?
5249.82
What is fourty-nine quarters of a micrometer in nanometers?
12250
What is 3/32 of a kilogram in milligrams?
93750
How many tonnes are there in 80.7998mg?
0.0000000807998
How many nanograms are there in 81064.83kg?
81064830000000000
What is four fifteenths of a decade in months?
32
What is 91.49806 tonnes in grams?
91498060
What is 2/75 of a millennium in months?
320
How many nanograms are there in 19/4 of a microgram?
4750
Convert 1255.512 tonnes to nanograms.
1255512000000000000
Convert 22.71018 milligrams to tonnes.
0.00000002271018
What is 414.5011 kilometers in meters?
414501.1
What is 8.026028us in nanoseconds?
8026.028
How many minutes are there in 1/45 of a week?
224
Convert 6.146304 millilitres to litres.
0.006146304
How many millilitres are there in one tenth of a litre?
100
What is 1/6 of a minute in seconds?
10
Convert 24.19198kg to micrograms.
24191980000
What is 8.383594cm in kilometers?
0.00008383594
How many months are there in eight thirds of a year?
32
Convert 7813.65cm to nanometers.
78136500000
How many months are there in 0.0477693 millennia?
573.2316
What is 171995.2 litres in millilitres?
171995200
How many millilitres are there in twenty-one fifths of a litre?
4200
What is twenty-seven halves of a micrometer in nanometers?
13500
What is one quarter of a litre in millilitres?
250
What is 0.4187728l in millilitres?
418.7728
What is 881.42mg in grams?
0.88142
How many seconds are there in 51/5 of a minute?
612
How many kilograms are there in 21/8 of a tonne?
2625
What is 3/5 of a litre in millilitres?
600
How many days are there in 261.2164 weeks?
1828.5148
What is one quarter of a kilometer in centimeters?
25000
How many kilograms are there in eleven halves of a tonne?
5500
What is one quarter of a kilogram in grams?
250
What is thirty-one fifths of a decade in months?
744
What is nine tenths of a litre in millilitres?
900
What is 3/40 of a litre in millilitres?
75
What is 37/2 of a gram in milligrams?
18500
What is 11/8 of a litre in millilitres?
1375
How many grams are there in 283.3658 tonnes?
283365800
How many nanograms are there in one tenth of a milligram?
100000
Convert 7.552013cm to micrometers.
75520.13
Convert 363.77523 minutes to weeks.
0.0360888125
How many litres are there in 3187.928ml?
3.187928
Convert 592099.8l to millilitres.
592099800
What is fifty-seven fifths of a meter in millimeters?
11400
What is 9.425853km in meters?
9425.853
Convert 29944.88 years to decades.
2994.488
What is 1916875.8ns in hours?
0.0000005324655
Convert 57.90 | {
"pile_set_name": "DM Mathematics"
} |
12 + (-4 + 0 + 2)*(-u - u + 3*u) + 4*u + 12*u + 10*u + u + 2*u - u in the form s + f*u and give f.
95
Rearrange 5008 + 420*r - 2514 - 2499 to the form y + s*r and give y.
-5
Rearrange 4270 - t + 7229 - 2857 + (3 - 2 + 1)*(-2*t + 5*t - 5*t) to x + a*t and give a.
-5
Express (-4 - 6 + 5)*(2149*g + 626 - 626 + 1229*g) as k*g + c and give k.
-16890
Rearrange 208*c + 5092*c**2 - 227*c + 19*c to x + n*c + r*c**2 and give r.
5092
Rearrange -19168*i + 93174477 - 93174477 to the form h + d*i and give d.
-19168
Express 26*q**3 + q**2 - 128*q**3 - 148*q**3 + 5 - 331*q**3 in the form d*q**2 + l + x*q + m*q**3 and give l.
5
Express -8 + 8 + 55*l**2 + (-4*l + l + 2*l)*(0*l + 4*l + 2*l) + (-4 + 4*l + 4)*(-3*l + 1 + l - 2) as b*l + x*l**2 + w and give x.
41
Express (0 - 8 - 4)*(34 + 14*z - 32 - 18) in the form w + d*z and give w.
192
Express 4*q**2 - 108*q - 2*q**2 - 51*q**4 + 5*q**4 - 108*q + 214*q in the form v*q + i*q**2 + p + u*q**4 + y*q**3 and give u.
-46
Rearrange (-1 - 2 + 4)*(3*d - 3*d - d) + (-1 - 1 - 2)*(-712*d - 85*d - 1204*d) to c*d + a and give c.
8003
Express -122*y - 104*y + 7 + 2*y**3 + 7 + 225*y + 72*y**4 as i + z*y**3 + s*y**2 + b*y + x*y**4 and give b.
-1
Express (-3*d**3 - 811 + d**3 + 1007)*(-20*d + 14*d + 19*d) as o + f*d**3 + s*d + t*d**4 + p*d**2 and give s.
2548
Rearrange 642*y**2 - 306*y**2 + 4 - 342*y**2 - y**4 + 5*y - 2*y**3 to v*y**3 + j + p*y**2 + g*y**4 + x*y and give j.
4
Rearrange -4*t**2 + t**2 + 206 - 10*t**2 + 3*t - 209 + t**2 to c*t**2 + x*t + b and give c.
-12
Rearrange (-5*p**3 + 18*p**2 - 18*p**2)*(397*p + 316*p - 83*p) to u*p**2 + g*p + k + l*p**4 + x*p**3 and give u.
0
Express 27974152*k + 13 - 3 - 27974063*k as j*k + t and give t.
10
Express (-729*s + 220*s - 2031*s)*(s + 0 + s - 2) as d*s**2 + a + c*s and give d.
-5080
Express 7*c - 823*c**2 + 0*c + c**4 + 822*c**2 + 93*c**3 - 5*c as q*c**3 + i + h*c + w*c**2 + s*c**4 and give h.
2
Express -47337*p + 95481*p - 47758*p as b*p + t and give b.
386
Rearrange (-3*d + 38*d**2 + 3*d - 809*d**2)*(6*d + 3*d + d + (-d - 2 + 2)*(0 + 2 - 3)) to t*d**2 + s*d + b*d**3 + y and give b.
-8481
Express -96 + 3*f - 2*f**3 - 126*f**2 + 116*f**2 - 2*f**3 - f**4 + 3*f**4 + 97 as b*f**4 + p*f + k*f**2 + g + r*f**3 and give b.
2
Rearrange -5*b**2 + 2 + 3*b**2 + 91*b + 39745*b**4 + 39742*b**4 - 79491*b**4 to the form d*b**3 + i + a*b**4 + w*b + p*b**2 and give a.
-4
Rearrange 203*n + 2882*n - 173*n + (4 - 4 - 2)*(3 - 3 - 6*n) + n - 2*n - n to l*n + b and give l.
2922
Rearrange -2159*x + 6373*x - 1127*x to t*x + m and give t.
3087
Rearrange 70*r**2 + 6 - 482*r - 4 + 123*r**2 + 481*r to m*r**2 + a + g*r and give m.
193
Express (0 + 0 - 1)*(-1 + 1 + 2*w) + 212*w - 619*w - 842*w + 3*w + 41 - 41 in the form b*w + o and give b.
-1248
Rearrange 234*q**3 + 7*q**4 - 229*q**3 - 3*q**2 - 43 + 44 to the form g*q**4 + w*q**2 + h + z*q**3 + x*q and give g.
7
Rearrange (-5*i + 5*i - 7*i)*(-3*i + i**2 + 3*i)*(-2 + 1 + 3 + (2 - 5 + 1)*(-3 - 1 + 5) - 77 - 37 - 55) to z*i + y + m*i**3 + k*i**2 and give m.
1183
Express 4000*v**2 + 4050*v + 4050*v - 8100*v as c + w*v**2 + m*v and give w.
4000
Rearrange -460*r - r**2 + 449*r**3 - 54*r**3 + 462*r to the form y*r**2 + o + u*r + k*r**3 and give u.
2
Express (-3*j - 4*j + j)*(-553*j + 335*j - 1 + 381*j)*((0 + 0 - 2)*(1 + 2 - 2) + 1 - 4 - 2 - 2 + 0 + 1) in the form l*j**2 + z + d*j and give l.
7824
Rearrange (2229*u + 1578*u - 3282*u)*(1 - 4 - 9) + (-2*u + 0*u + 4*u)*(1 - 1 - 1) to the form f + z*u and give z.
-6302
Express (-2*f + f**2 + 2*f)*(527*f - 14462 + 14462)*((-f + 0 + 0)*(-2 + 0 - 1) - 2*f + 4*f - 3*f) as u*f**4 + a*f**2 + j*f**3 + d + i*f and give u.
1054
Rearrange 5 + 0*u + 4*u - 3 - 920*u**3 + 1503*u**3 to the form d*u**2 + w*u**3 + j + k*u and give w.
583
Rearrange (3*n**3 + 3*n**3 - 2*n**3)*(429 - 20*n - 429) + 5*n**2 - 13*n**4 - 5*n**2 to the form u + p*n**2 + o*n**3 + x*n**4 + b*n and give x.
-93
Express -5 + 3 + 13982*i**2 + 2235*i**2 + 4237*i**2 as b + u*i + z*i**2 and give u.
0
Express -53*q - 35*q + 37*q + (6 - 2 - 2)*(-16*q + 28*q - 50*q) as n*q + w and give n.
-127
Rearrange (-7*i + 4*i - 2*i)*(323*i - 59*i - 62*i) + (-2*i - 2*i**2 + 2*i)*(-2 + 1 + 3) - i**2 + 4*i**2 + 0*i**2 to u*i + k*i**2 + q and give k.
-1011
Express 87 - 2*h - 59051*h**2 - 4*h + 59070*h**2 + 6*h as f*h + n*h**2 + p and give n.
19
Express -187*d - 213*d - 8501 + 8500 - 134*d + 63*d in the form p + h*d and give p.
-1
Express g**4 - 3725 - 9*g**2 + 2*g**3 + 1237 + 1243 - 8*g + 0*g**2 + 1242 as h*g + x*g**2 + n*g**3 + m*g**4 + y and give m.
1
Express (12 - 21 + 13)*(10*f + 9*f - 7*f)*(64 - 31*f**2 - 64) in the form u*f**2 + h + l*f + b*f**3 and give b.
-1488
Express -30 + 30 - 22*v**2 + (-1 - v**2 + 1)*((-5 + 2 + 1)*(-4 + 1 + 2) + (0 + 2 + 2)*(1 - 2 + 0)) as b + g*v**2 + s*v and give g.
-20
Rearrange (28 - 15 - 5)*(-205 + 134*y + 205) - 2 + 2 - 2*y to l*y + g and give l.
1070
Rearrange 4 - 2*s**2 + 3*s - 1081*s**3 + 1079*s**3 - 66 - s**4 to h + p*s**3 + i*s**2 + t*s**4 + o*s and give p.
-2
Express -1 - d + 1 + 3*d - 4*d + 0*d + (-1 + 0 + 2)*(-d + 2*d + d) + d + d + 0*d - 2308*d + 917*d + 17905*d + 33200*d in the form m + w*d and give w.
49716
Rearrange (1183 + 488 + 1661 + 556 + 1415)*(-a + 6*a + a)*(0 + 2 - 1) to the form x + c*a and give c.
31818
Express -18346 + 7*i**3 - 18249 - 18136 + 56015 in the form w*i**3 + f*i + c + r*i**2 and give f.
0
Rearrange 4*k**2 - 1 - 2*k**2 - 12*k**4 - 175*k + 299*k - 121*k - 12*k**2 to i*k + m + u*k**2 + t*k**4 + l*k**3 and give u.
-10
Rearrange 644 + 642 - 1926 + 640 + 5116*l to the form c*l + t and give t.
0
Express (23*v + 155 - 155)*(24 + 5 + 31)*(-2*v - 2*v + 0*v)*(-v**2 + 0*v**2 - v**2) in the form i + a*v**3 + n*v**4 + o*v + s*v**2 and give n.
11040
Express -7 + 55*k**3 + 19 + 2 - 2*k - 6 - 6 in the form c + l*k**3 + x*k**2 + p*k and give c.
2
Express 1886 - 933 - 950 - 2941*l + (l + 0*l + 2*l)*(-4 + 2 + 1) as d*l + i and give i.
3
Rearrange (14 - 5 + 0*m**3 - m**3)*((-3*m + 3*m - 2*m)*(-3 + 1 + 4) - 439*m + 115862 - 115862) to d*m + y + t*m**2 + x*m**3 + i*m**4 and give d.
-3987
Rearrange (-10 + 9 + 5)*((-11 - 4 + 8)*(1 - 1 + y) + (-y + 5*y - 2*y)*(-1 - 5 - 2)) to the form a*y + q and give a.
-92
Rearrange (8936 - 13850 + 7313)*((3*m - 7*m + 2*m)*(9*m - 7*m - 5*m) - 3*m**2 + 0*m**2 + 2*m**2) to the form t + a*m**2 + q*m and give a.
11995
Express -787016*w + 787016*w + 4920*w**2 in the form j*w + y + a*w**2 and give a.
4920
Express -115 + 12*b + 70 - 10*b - 265 - 83 in the form x + r*b and give x.
-393
Rearrange 23*v + 12*v - 21*v + 26*v**2 - 66*v**2 + 9*v + 2 to the form i + h*v**2 + n*v and give h.
-40
Express 2*k - 21*k**3 + 26*k**3 - 2*k**4 + k + 104*k**3 + (1 - k**2 - 1)*(72*k - 72*k + 17*k**2) as j*k**2 + x + l*k**4 + d*k**3 + u*k and give x.
0
Express -24428*j - 26515*j + 56141*j + (-j + 0 + 0)*(-1 + 4 - 1 + (-1 + 2 + 1)*(-1 + 1 - 2)) as q + w*j and give w.
5200
Express 405 + 409 + 239*q - q**3 + 409 + 409 + 3*q**2 - 1631 in the form i*q**3 + z*q + x*q**2 + h and give z.
239
Rearrange -90*z + 2*z + z - 2484 + 2494 - 65*z to the form u + x*z and give u.
10
Rearrange (0 - 4 + 0)*(1454 - 68*w - 1454)*(3*w + 7*w - 5*w) to f + h*w**2 + l*w and give h.
1360
Rearrange (5*t**3 + 0*t**3 - t**3)*(-19 + 4 - 49) + (3 - 1 - 3)*(0*t**3 + 3*t**3 - 5*t**3) + 8*t**3 + 4*t**3 + t**3 to z*t**3 + x*t**2 + v*t + h and give z.
-241
Rearrange ((21*m - 8*m - 7*m)*(96*m**3 - 95*m**3 - 78*m**3) - 3*m**2 + 3*m**2 + 3*m**4)*(-4 - 3 + 0) to w*m + k*m**4 + u*m**3 + d*m**2 + z and give k.
3213
Rearrange 1403*p + 281*p - 16*p + 757*p to the form w*p + y and give y.
0
Rearrange -819*p + 1168*p**2 + 3139*p**2 - 823*p + 1642*p to the form l + r*p + i*p**2 and give i.
4307
Express 2*a**2 + 159 + 0*a**2 - 683*a**3 - 4*a**4 + 2*a + 684*a**3 in the form f*a + v*a**2 + i + x*a**4 + q*a**3 and give q.
1
Express (2102 + 2087 - 933*s + 2094 - 6283)*(5*s + 2*s - 5*s) - 2*s**2 + 6*s**2 + s**2 as q + w*s + i*s**2 and give i.
-1861
Rearrange -4*m**3 + 847*m**2 - 311*m**2 - 536*m**2 - 2799 to the form a*m + q*m**3 + o + y*m**2 and give q.
-4
Express 88*y - 8 + 2116*y + 0 + 563*y + (-1 + 2*y + 1)*(-2 - 3 + 7) - 2*y - 4 + 4 in the form m + k*y and give m.
-8
Express 85*q**4 - 11*q**2 + 9*q**2 - 1 - q**3 - 271*q**4 as u*q + k + a*q**3 + p*q**4 + g*q**2 and give g.
-2
Exp | {
"pile_set_name": "DM Mathematics"
} |
15059?
-15058.7
Work out -82968 - -5.
-82963
What is the difference between 26 and -2173?
2199
What is the distance between -45 and -12162.6?
12117.6
Add together -3 and 465.
462
Subtract -11991 from -0.3.
11990.7
What is -0.4 plus 4046?
4045.6
Add -11689 and -5.
-11694
Sum -1 and -166656.
-166657
Sum 0.0112 and -542.
-541.9888
What is 0.4 - 0.073898?
0.326102
0.19+-107
-106.81
Add together -0.16 and 1554.
1553.84
Put together -0.01 and 12432.
12431.99
0.3+-22776
-22775.7
Calculate 0.26 - 19.
-18.74
What is the distance between -927 and -5929?
5002
What is 0 less than -4240?
-4240
Total of -1 and -3598.
-3599
What is -1158 + -48?
-1206
What is the difference between 5 and -147800?
147805
Calculate -21874 + -0.28.
-21874.28
Subtract -1 from -119.955.
-118.955
Work out 19.9 + -0.0228.
19.8772
-2387.4+-1.3
-2388.7
What is -3 less than -0.93494?
2.06506
Work out 750326 + 5.
750331
What is 640 plus -0.05?
639.95
Sum -47 and 311.
264
What is 0 less than 1158112?
1158112
Calculate -21656 + -0.2.
-21656.2
Work out -0.2 - -6667.32.
6667.12
What is 5 + -336?
-331
What is 0.04474 plus 0?
0.04474
Calculate -265 - 0.2.
-265.2
Subtract 0.5 from -22.48703.
-22.98703
Sum 0.5 and 320.
320.5
Total of 422 and 0.
422
Add -3 and 0.1648.
-2.8352
-25562 - -0.8
-25561.2
What is the distance between 0.38 and -124.92?
125.3
Subtract -15 from -2.09.
12.91
Sum 959 and -0.3.
958.7
What is the distance between -2 and 3821?
3823
Work out -2.99112 - -0.01.
-2.98112
Work out -2.4738 + -3.
-5.4738
What is 35260 + 0.5?
35260.5
-0.013856 - -4
3.986144
What is 1162 plus 1455?
2617
0.163+0.8
0.963
-1.2 - 1712
-1713.2
-9802699 - 0.3
-9802699.3
0.194 + -805
-804.806
What is -19389 - 12.8?
-19401.8
What is 13 - 2166?
-2153
What is 5 less than -22415?
-22420
Calculate -1.63226 - 0.3.
-1.93226
Work out -3 - -3264.
3261
What is 66 minus -3.75?
69.75
Calculate 1 + 14.55.
15.55
Work out -6653 - 0.7.
-6653.7
Work out -19.5525 - 7.
-26.5525
4 - -0.0532
4.0532
Total of -0.02465 and -1.
-1.02465
138707+-0.5
138706.5
What is the distance between -947 and -0.3?
946.7
-0.06 + -253.8
-253.86
What is 120 plus -8158?
-8038
What is the difference between -4 and 2606.6?
2610.6
Add 38 and -99.
-61
What is -1.172 take away 7?
-8.172
Work out -0.032 - -173.
172.968
Work out -19549 + 13.
-19536
Calculate -37 + -1.7398.
-38.7398
What is the distance between 0.045 and -117?
117.045
What is the difference between -5 and -10842?
10837
-0.112+382
381.888
What is -1 + 0.332?
-0.668
Add together -1.28 and -11.1.
-12.38
Calculate 40 - 199.8.
-159.8
Calculate 13.08 + -351.
-337.92
What is the distance between 5 and 845?
840
What is -21.5 less than 18?
39.5
What is 738.8438 - 4?
734.8438
Work out -0.36 + -0.57.
-0.93
Subtract -0.5 from 29973.
29973.5
Calculate 3 + 936.
939
Calculate 0.2130287 - -2.
2.2130287
What is 0.33 take away 90.49?
-90.16
Work out -91389 + 0.3.
-91388.7
Calculate -32.19 + 1685.
1652.81
0.037 - -40
40.037
Put together 1.88 and -132.
-130.12
1956 - 7
1949
Add together -406.3 and 1.
-405.3
Add 43060.9 and -0.3.
43060.6
Calculate 2125 + -212.
1913
What is 1 take away -1730?
1731
Put together -236686 and 0.2.
-236685.8
Work out -291 + 18134.
17843
What is 3 plus 33.35?
36.35
What is -4670 less than -0.3?
4669.7
What is the distance between 98 and -620?
718
Calculate -0.405878 - 1.
-1.405878
Work out -0.4 + -258837.
-258837.4
What is -8632 plus 2?
-8630
What is 13 take away 14.23?
-1.23
Total of 28 and -0.9.
27.1
Sum 406146 and -1.
406145
Add -39.67 and 0.2.
-39.47
What is -19 - -43?
24
-3.664 + -0.2
-3.864
Work out -2444 + 3.
-2441
What is -0.014 less than -55242?
-55241.986
What is 253 take away 238?
15
What is 3 - -441?
444
What is -2 - -0.4732?
-1.5268
What is 530 + -0.079?
529.921
Total of 95.43 and -0.4.
95.03
Put together -11 and -241188.
-241199
Subtract -119 from 3.
122
Calculate 5.9 + -2.383.
3.517
Put together -1982 and 0.1.
-1981.9
What is 1.2 less than -0.04947?
-1.24947
What is -7976 - -0.893?
-7975.107
Work out -15 - 29.2.
-44.2
Calculate -3 + 37173.
37170
29482 + -5
29477
What is 6 plus -3.132?
2.868
Add 0.008 and 0.096.
0.104
Work out -0.267 - -0.09.
-0.177
Sum -471 and -0.82.
-471.82
What is 0.4 less than 1375?
1374.6
What is the distance between -45.54 and 1191?
1236.54
Total of 0.6315 and 0.1.
0.7315
What is -31.2 minus -0.44?
-30.76
Work out 1.34 + -126.
-124.66
-0.15+-167.9
-168.05
Put together 0.2 and -3140.
-3139.8
What is -29.5 minus -84?
54.5
What is 291 plus -1?
290
Calculate 0.9 - 0.00056.
0.89944
-0.095158+0.064
-0.031158
-4+-22389
-22393
Add 5 and 175581.
175586
Calculate -27.2 - -0.0684.
-27.1316
Calculate -2054.81 - 3.6.
-2058.41
Subtract 0.4 from -34.21.
-34.61
-0.8 - 2942
-2942.8
Sum -4 and 0.9269.
-3.0731
-8+-31020
-31028
1670.2 + -1.8
1668.4
Add 11561 and -25.
11536
Calculate 0.3 - -0.0064421.
0.3064421
Add 0.4 and 84472.
84472.4
Work out 0.21 + -116803.
-116802.79
-14 - 4629
-4643
What is -2898.34 take away 3?
-2901.34
What is 21 take away -10.1653?
31.1653
Total of 1 and 1969.
1970
What is 537 plus -0.16?
536.84
What is the distance between -1 and 10349?
10350
Calculate 44.9 + 0.052.
44.952
What is the difference between -2560 and -0.5?
2559.5
What is the difference between -162.42 and -5?
157.42
What is -0.5 - -81.8?
81.3
Total of -3336201 and 0.4.
-3336200.6
What is -0.015 plus 16?
15.985
Add together -3 and 30893.
30890
40 + -1981
-1941
Put together 4154291 and -3.
4154288
0.114 + -0.056
0.058
Calculate 10.161 - -92.
102.161
What is 12.0647 less than -14?
-26.0647
Put together -0.2 and 389.
388.8
What is 11 + 17.34?
28.34
Calculate 0.37826 - 0.34.
0.03826
What is the difference between 7 and 13?
6
What is 288 - 19876?
-19588
What is -3 minus 61480?
-61483
What is 118.4 less than -0.2?
-118.6
What is 1.06 plus 0.2145?
1.2745
What is 10653 minus 2?
10651
Total of 0.36 and -1.8.
-1.44
What is 2 less than 0.00676?
-1.99324
Work out -0.0914 - -0.06.
-0.0314
Put together -0.931 and -20.
-20.931
Add together 0.5 and 3683.2.
3683.7
What is 2 plus -719?
-717
What is 2.03 + 6?
8.03
Add together -0.3066 and 0.4.
0.0934
-110.7+-0.8
-111.5
Add together 0 and -7240.
-7240
Work out -16 - -143017.
143001
Add -1.859 and -1.7.
-3.559
Add -0.09 and -1429.2.
-1429.29
Calculate -0.2897277 - 0.5.
-0.7897277
What is -49.95 - 0?
-49.95
What is 0.2 minus -1.858?
2.058
20.1+1466
1486.1
Subtract -3904 from -2.
3902
Subtract -0.24 from 12.
12.24
What is -1106.5 take away 0.18?
-1106.68
Calculate 5 + 8.90782.
13.90782
Put together 14 and -416.
-402
What is the difference between 39164 and 0.3?
39163.7
Work out 2.7 - 215.
-212.3
Total of -0.4 and -394757.
-394757.4
Work out -11986 - -0.5.
-11985.5
What is 0.6 less than -620?
-620.6
Put together 51 and 3.29.
54.29
What is -35 minus 0.4?
-35.4
What is the difference between 2452.6 and -0.04?
2452.64
Work out 0.4 - -0.454.
0.854
Add together -223.26 and 0.06.
-223.2
Add together -21 and -163.3.
-184.3
Calculate 411 + -0.3.
410.7
Calculate -8.365 - 2.9.
-11.265
-0.2 - -2.7
2.5
Calculate -6.1 + 5.
-1.1
What is 1.94 less than -635?
-636.94
4 - -125.974
129.974
What is 108.23 take away 0.03?
108.2
0.05+-340
-339.95
Put together 0.037195 and -5.
-4.962805
-4.4 - 0.024
-4.424
Work out -0.1 - 0.0196.
-0.1196
-14548.58 + 3
-14545.58
Add 28167 and -8.
28159
What is the difference between -19 and 25.287?
44.287
Calculate -386 + -4036.
-4422
Put together -1 and -31449.
-31450
-0.52 + -0.5
-1.02
Total of 9329 and 0.233.
9329.233
What is -19477 minus -1?
-19476
What is the difference between 0.058 and -766?
766.058
Add together 347.7 and 6.
353.7
What is -236370 take away -0.4?
-236369.6
What is -0.2 less than -56?
-55.8
Add together 0.4 and 3.849.
4.249
What is -632 plus 672?
40
Subtract 5 from -81290.
-81295
What is -1254 + 0.18?
-1253.82
What is 3 less than -54048.8?
-54051.8
-0.4 - -633
632.6
Work out -2.017 - 4.
-6.017
What is 0.3 minus -6142.72?
6143.02
What is the difference between 623 and 2.668?
620.332
Add -16.629 and 0.27.
-16.359
What is -6570 less than -423?
6147
Work out -95 + 4.3.
-90.7
Work out 0.6 - 22254.
-22253.4
What is the distance between 4 and -25347?
25351
Work out 0.16 - -0.5.
0.66
What is the difference between 0 and 27.08?
27.08
Add together 0.2 and -3901.
-3900.8
What is 11 + -0.0711?
10.9289
What is -173 - 378.6?
-551 | {
"pile_set_name": "DM Mathematics"
} |
2*o
What is the derivative of 481238*z**3 + 281546?
1443714*z**2
Find the second derivative of 1868*d**3 + 3*d**2 + 2*d - 18599.
11208*d + 6
What is the third derivative of 39*f*r**4 - f*r**2 - 22*f*r + 56*f + 3834*r**4 + r**3 - 2 wrt r?
936*f*r + 92016*r + 6
Find the third derivative of 60557*p**2*v**4 + 11*p**2*v - 1104*p*v**2 wrt v.
1453368*p**2*v
Find the second derivative of -26264*c**3 + 6*c + 3642.
-157584*c
Find the third derivative of 4*l*m**3 + 14089*l*m**2 + 3*l*m - 3*m**5 - 8*m**4 - 10*m**3 wrt m.
24*l - 180*m**2 - 192*m - 60
What is the third derivative of 6197*w**5 - 536*w**3 - 387*w**2 + 3901*w wrt w?
371820*w**2 - 3216
What is the second derivative of -54516*z**3 + 14*z + 154 wrt z?
-327096*z
What is the third derivative of 2*g*n**3*t - 17*g*n**3 + 2*g*n**2*t + g*n + g*t - 8*n**3*t + 46*n**3 - 683 wrt n?
12*g*t - 102*g - 48*t + 276
Find the third derivative of m**3*o**3 + 8454*m**3*o**2 - 437*m**2*o**3 + 17*m*o**3 - 3*m*o wrt o.
6*m**3 - 2622*m**2 + 102*m
What is the third derivative of 1298*l**3*x**2 + 174*l**3*x - l**3 - 48*l**2 - 2*l*x**2 - 227*x**2 + 2*x wrt l?
7788*x**2 + 1044*x - 6
What is the second derivative of -138175*j**2*p**2 + 150*j*p**2 - 547*p wrt j?
-276350*p**2
Find the second derivative of 87130*a**5 - 139*a + 152 wrt a.
1742600*a**3
Differentiate 2*c*x + 9847*c*y + 3*c + 11232*x*y with respect to x.
2*c + 11232*y
What is the second derivative of -9796*r**3 - 101287*r?
-58776*r
What is the third derivative of -236905*g**2*w**3 - 1932*g**2*w**2 + 9*g**2*w + 5*g - 2*w**2 wrt w?
-1421430*g**2
What is the second derivative of 585330*k**3*q - 4*k*q + 2*k - 11716*q wrt k?
3511980*k*q
What is the third derivative of f**6 - f**5 - 5227*f**3 - 8*f**2 + 219*f wrt f?
120*f**3 - 60*f**2 - 31362
Find the first derivative of -2*d**3*w + 47421*d**2*w**2 + 422*w**2 + 70 wrt d.
-6*d**2*w + 94842*d*w**2
Find the third derivative of 23*s**5*u + 216*s**3*u**2 + 31684*s**2*u**2 wrt s.
1380*s**2*u + 1296*u**2
What is the third derivative of q**5 - 993*q**4 - 86*q**3 - 225505*q**2 wrt q?
60*q**2 - 23832*q - 516
What is the second derivative of -2*k**4 - 337*k**3*n - 429*k**3 + 7*k*n + 8*k + 2*n - 1178 wrt k?
-24*k**2 - 2022*k*n - 2574*k
What is the third derivative of -176044*h*u**3 + h*u**2 - 11*h*u + 1559*u wrt u?
-1056264*h
What is the derivative of 96200*p**2 - 69361 wrt p?
192400*p
What is the second derivative of -10*a**5 + 10095*a**3 + 2*a**2 - 3835*a + 6 wrt a?
-200*a**3 + 60570*a + 4
Differentiate 72*h**3*q**2 + h**3 + 7*h**2*q**3 - 10*h**2 - 115 with respect to q.
144*h**3*q + 21*h**2*q**2
What is the third derivative of 2416*c*q**4 - 3*c - 852*q**2 + 10*q wrt q?
57984*c*q
What is the third derivative of 442*r**3*z - 32*r**3 + 3703*r**2*z - 27*r**2 wrt r?
2652*z - 192
What is the second derivative of i**5 - 2*i**4 + 134*i**3 + 45*i**2 - 500720*i wrt i?
20*i**3 - 24*i**2 + 804*i + 90
What is the third derivative of -2*l**5 + 567*l**4 + 25*l**3 + 7509*l**2 - l wrt l?
-120*l**2 + 13608*l + 150
Differentiate -3146628*m**3*s + 10*m**3 - 7*m**2 - 759*m wrt s.
-3146628*m**3
Find the third derivative of -106194*l**6 - 3*l**3 - 1049903*l**2.
-12743280*l**3 - 18
What is the second derivative of -1722527*a**3*k**2 - 6*a**3*k - 33574*k wrt k?
-3445054*a**3
Find the third derivative of -76156*j**3 - 47*j**2 + 3*j + 3 wrt j.
-456936
Find the third derivative of 7601*j**2*m*r**3 - 2*j**2*r**2 - j*m*r**2 + 3*r**3 + 35*r**2 - 10 wrt r.
45606*j**2*m + 18
What is the second derivative of -75748*p**2*t**2 + 8*p**2*t - 2*p**2 - p*t**2 - 107*p*t - 1170*t**2 - 1 wrt p?
-151496*t**2 + 16*t - 4
Find the second derivative of -392276*t**2 + 500405*t.
-784552
Find the third derivative of -6547045*y**4 - y**2 - 2*y - 6753.
-157129080*y
What is the second derivative of 396328*m*w**2 + 2*m*w - m + 73730*w wrt w?
792656*m
What is the derivative of 4*k*t**2 - 4*k*t + 3977*k - 1011065*t**2 wrt k?
4*t**2 - 4*t + 3977
Find the third derivative of 11745*c**2*j**2*t**3 + 935*c**2*j**2*t**2 - c**2 - 8*j*t**2 wrt t.
70470*c**2*j**2
What is the third derivative of 228802*c**5 - 6*c**3 - 83*c**2 - 616 wrt c?
13728120*c**2 - 36
Find the first derivative of -12218*l*u**3 - 5*l*u**2*x + 2*l*x + 2*l - u*x - 43914*x wrt u.
-36654*l*u**2 - 10*l*u*x - x
Differentiate 51*r*t*z**3 + 969*r*t + 98*t*z**3 + 5*t*z - 22 wrt r.
51*t*z**3 + 969*t
What is the third derivative of -2026814*z**3 + 4090890*z**2?
-12160884
What is the first derivative of -66587*h**2 - 194873?
-133174*h
What is the third derivative of 2*h**2*w**4 - 982*h**2*w**2 - 3*h**2*w - 2*h**2 - h*w + 55091*w**4 + 21*w**2 wrt w?
48*h**2*w + 1322184*w
What is the second derivative of -56*q**3 + 2491*q**2 - 182434*q wrt q?
-336*q + 4982
Differentiate 31114*k**2 + 126311 wrt k.
62228*k
What is the first derivative of -85*m*u**4 + 778*m - 498*u**4 wrt u?
-340*m*u**3 - 1992*u**3
What is the third derivative of -12029*p**6 + 3*p**2 - 19857*p?
-1443480*p**3
Differentiate -48664*h*r**2 - 37*r**2 - 483*r wrt h.
-48664*r**2
Differentiate -1021*g**3 - g**2 - 1201 with respect to g.
-3063*g**2 - 2*g
Find the third derivative of -35*f**4*z - 1193*f**3*z + 2*f**3 + 214*f**2 + 188*f*z wrt f.
-840*f*z - 7158*z + 12
Find the third derivative of 4516181*c**3 + c**2 - 685*c - 1979.
27097086
Find the second derivative of 4*v**2*z**2 + 484*v**2*z - v**2 + 9*v*z**2 + 5*v*z - 312*z**2 wrt v.
8*z**2 + 968*z - 2
What is the third derivative of 6831*l**4*q + 68*l**3*q**2 - 2*l**2*q**2 + 141*l**2 + 3*l*q - 61*l - q**2 wrt l?
163944*l*q + 408*q**2
What is the second derivative of -3910496*t**2 - 4906549*t wrt t?
-7820992
What is the first derivative of 12*g*i*n - 91*g*i + 235*g*n - 168*g + 4*i - 1 wrt i?
12*g*n - 91*g + 4
Differentiate 521815*f*p - 1570219*f with respect to p.
521815*f
Differentiate 621399*r - 551334 wrt r.
621399
Differentiate -14527*z**4 - 2*z**2 - 20920 wrt z.
-58108*z**3 - 4*z
Find the second derivative of 65*b**3*h**2 - 3*b**3*h*l + 7*b**3*l**2 - b**2*h*l**2 + b*h - 10*h**3*l**2 - 41*h**3 - 12*l**2 wrt h.
130*b**3 - 60*h*l**2 - 246*h
What is the third derivative of a**6 + 4*a**5 + 492*a**3 + 196*a**2 - 173*a - 4?
120*a**3 + 240*a**2 + 2952
Differentiate 5064125*f - 5421010 with respect to f.
5064125
What is the second derivative of -10*s**5 - 16764*s**2 + 182320*s?
-200*s**3 - 33528
What is the second derivative of 28*k**3 + 3897*k**2 - 5572*k - 12 wrt k?
168*k + 7794
Find the second derivative of -3*h*j**5 + 25039*h*j**2*w**2 - 2*h*j*w**2 - 3*h*j - 2*h - 708*j*w**2 + 22 wrt j.
-60*h*j**3 + 50078*h*w**2
Find the third derivative of -2*w**6 - 110*w**4 - 112*w**3 - 19*w**2 - 84.
-240*w**3 - 2640*w - 672
Find the first derivative of 413411*h - 132407 wrt h.
413411
Find the first derivative of -a**2*u + 103126*a*u + 33327*u - 1 wrt a.
-2*a*u + 103126*u
What is the third derivative of -217832*h**3*q**3 + 1025*h**2*q**3 + 6*h*q + 23 wrt h?
-1306992*q**3
What is the second derivative of 44429*t**3 + t**2 - 21474*t - 5 wrt t?
266574*t + 2
What is the first derivative of 11*j**3 - 3*j**2 - 15290*j - 896844?
33*j**2 - 6*j - 15290
What is the third derivative of 241*g**4 - 29*g**3 + 4861*g**2 - 6?
5784*g - 174
Find the third derivative of -18*l**3*o**5 - 1821*l**3*o**4 - 47666*l**3 - l**2*o**2 wrt o.
-1080*l**3*o**2 - 43704*l**3*o
Find the third derivative of -155*c**4*m**2 - 165*c**3*m**3 + 1461*c**2*m + 2*c*m**3 wrt c.
-3720*c*m**2 - 990*m**3
What is the third derivative of -854*o*p*w**4 + o*p*w**3 - 1218*o*p*w**2 + 2*o + 3*p*w**4 + 2*p*w - w**2 wrt w?
-20496*o*p*w + 6*o*p + 72*p*w
What is the derivative of -7886*q**3 + 27*q**2 + q - 2883215?
-23658*q**2 + 54*q + 1
What is the second derivative of -k**4 + 20*k**3 - 25083*k**2 + 1276759*k?
-12*k**2 + 120*k - 50166
Differentiate h*m*p - 388*h*m - 63*h*p + 7*m*p - 6*m - 12*p with respect to p.
h*m - 63*h + 7*m - 12
What is the third derivative of 59*k**5 + 123*k**4 - 154018*k**2 wrt k?
3540*k**2 + 2952*k
Differentiate -2*d**2*v - 475900*d*v**2 + 65*v**2 + 620 wrt d.
-4*d*v - 475900*v**2
Find the second derivative of -3978865*w**4 + 34366*w - 4 wrt w.
-47746380*w**2
Differentiate 116*d**3*u + 2*d**3 - 2136*d**2 - 69*u wrt u.
116*d**3 - 69
Find the first derivative of 197892*r + 19175 wrt r.
197892
Find the second derivative of -3*u**4 + 7*u**3 + 208*u**2 - 4116*u.
-36*u**2 + 42* | {
"pile_set_name": "DM Mathematics"
} |
replacement from {l: 3, m: 2}.
1/10
What is prob of sequence mmr when three letters picked without replacement from {r: 3, s: 12, m: 3}?
1/272
Two letters picked without replacement from {r: 3, x: 1, c: 1, g: 4, o: 4, h: 5}. What is prob of sequence or?
2/51
Three letters picked without replacement from cxcxrcxcrcxcccx. What is prob of sequence cxr?
8/273
Two letters picked without replacement from {v: 8, q: 6, z: 1}. Give prob of sequence qv.
8/35
Calculate prob of sequence zbv when three letters picked without replacement from {x: 1, e: 1, v: 1, i: 2, b: 1, z: 1}.
1/210
Calculate prob of sequence cc when two letters picked without replacement from {m: 2, c: 2}.
1/6
What is prob of sequence ub when two letters picked without replacement from ubmfmmmabmmff?
1/78
Calculate prob of sequence xx when two letters picked without replacement from {q: 2, s: 1, x: 12, a: 2, f: 1}.
22/51
Two letters picked without replacement from {c: 7, n: 3, s: 1, e: 1}. Give prob of sequence nc.
7/44
What is prob of sequence ccvc when four letters picked without replacement from {v: 9, c: 11}?
99/1292
Calculate prob of sequence vjvj when four letters picked without replacement from {j: 13, v: 3}.
3/140
What is prob of sequence gz when two letters picked without replacement from ggzgzggg?
3/14
What is prob of sequence lvv when three letters picked without replacement from lvllvll?
1/21
Calculate prob of sequence hh when two letters picked without replacement from eheohhohoohh.
5/22
What is prob of sequence qdi when three letters picked without replacement from {d: 11, i: 1, q: 6, m: 1}?
11/969
What is prob of sequence oo when two letters picked without replacement from {s: 2, o: 10}?
15/22
Three letters picked without replacement from zrrzzrr. Give prob of sequence zrr.
6/35
Calculate prob of sequence fs when two letters picked without replacement from {f: 2, s: 1, p: 4, x: 1}.
1/28
What is prob of sequence xd when two letters picked without replacement from {a: 7, t: 2, k: 3, x: 3, d: 3}?
1/34
Three letters picked without replacement from {e: 6, v: 1, i: 1, d: 4, f: 4, n: 3}. Give prob of sequence ine.
1/323
What is prob of sequence vv when two letters picked without replacement from {v: 2, e: 3}?
1/10
Calculate prob of sequence ykm when three letters picked without replacement from {y: 2, m: 6, u: 1, k: 2, q: 1}.
1/55
Calculate prob of sequence aa when two letters picked without replacement from ttataataatttaa.
3/13
Calculate prob of sequence iii when three letters picked without replacement from vviiiivi.
5/28
Calculate prob of sequence mi when two letters picked without replacement from mmmmmmimimmmm.
11/78
Calculate prob of sequence ca when two letters picked without replacement from zzaazocaccdadaaodd.
1/17
Three letters picked without replacement from ooyo. What is prob of sequence oyo?
1/4
Two letters picked without replacement from oomoooookokokooo. Give prob of sequence oo.
11/20
Four letters picked without replacement from {d: 8, b: 5}. Give prob of sequence dbbd.
28/429
Four letters picked without replacement from {d: 2, o: 10}. What is prob of sequence oooo?
14/33
Calculate prob of sequence ukiz when four letters picked without replacement from kkuwzzziziuizuwwzu.
1/510
What is prob of sequence xpx when three letters picked without replacement from xpppxxxapxx?
4/33
What is prob of sequence nca when three letters picked without replacement from {c: 1, a: 1, h: 1, y: 1, n: 1}?
1/60
Calculate prob of sequence vvd when three letters picked without replacement from vdvvfvqvq.
5/126
What is prob of sequence ddde when four letters picked without replacement from {x: 7, d: 6, e: 2}?
2/273
Calculate prob of sequence ojjo when four letters picked without replacement from ojjjjjoojojoj.
28/429
Calculate prob of sequence zznn when four letters picked without replacement from {n: 3, z: 3}.
1/10
Three letters picked without replacement from {e: 3, n: 1, h: 1, t: 2, f: 1, i: 4}. What is prob of sequence tin?
1/165
What is prob of sequence tkd when three letters picked without replacement from {p: 1, k: 1, f: 1, t: 1, d: 1}?
1/60
What is prob of sequence yyit when four letters picked without replacement from tyyiyiiyytyttyyyiyy?
55/2907
Three letters picked without replacement from ixvxpvop. What is prob of sequence ppo?
1/168
Four letters picked without replacement from eeeqqq. Give prob of sequence qqee.
1/10
Three letters picked without replacement from mplidddpmpdmlm. What is prob of sequence pmm?
3/182
What is prob of sequence uh when two letters picked without replacement from rgruggggrhrgh?
1/78
Three letters picked without replacement from fzzzlffzzfffflf. Give prob of sequence zzf.
16/273
Three letters picked without replacement from {m: 3, l: 2, n: 1, x: 1}. Give prob of sequence mxx.
0
Calculate prob of sequence zzv when three letters picked without replacement from yyyvzyzyz.
1/84
Calculate prob of sequence oyn when three letters picked without replacement from ynoynoyoofyyyy.
1/39
Three letters picked without replacement from dommenj. Give prob of sequence mee.
0
What is prob of sequence hmso when four letters picked without replacement from yhmsohmsmhh?
1/330
Three letters picked without replacement from ijkekqyj. What is prob of sequence ekk?
1/168
Four letters picked without replacement from {y: 4, b: 4, t: 4, v: 6}. What is prob of sequence bvby?
1/255
Calculate prob of sequence il when two letters picked without replacement from {k: 3, i: 7, l: 4}.
2/13
Two letters picked without replacement from kkksksksssksksksssk. Give prob of sequence ks.
5/19
Four letters picked without replacement from qqqqqqcqcqqqqqqcqqqq. Give prob of sequence cqcc.
1/1140
Calculate prob of sequence vfss when four letters picked without replacement from {s: 10, f: 2, x: 3, v: 3}.
1/136
What is prob of sequence yyq when three letters picked without replacement from {y: 3, q: 3}?
3/20
Calculate prob of sequence pypy when four letters picked without replacement from pypypyypypyp.
5/66
Calculate prob of sequence bdfg when four letters picked without replacement from fgbvvbfbfbppfdg.
4/4095
Calculate prob of sequence dp when two letters picked without replacement from pppdpdd.
2/7
What is prob of sequence ww when two letters picked without replacement from hifwwffwhioy?
1/22
What is prob of sequence gg when two letters picked without replacement from ggbgx?
3/10
Two letters picked without replacement from jwjwewwwwjwjjwwjw. What is prob of sequence ww?
45/136
Two letters picked without replacement from usssfufssusfuususus. Give prob of sequence fs.
3/38
Two letters picked without replacement from aaaazlzzzlalpzaapaa. Give prob of sequence za.
5/38
What is prob of sequence sf when two letters picked without replacement from {g: 8, f: 8, s: 1}?
1/34
Calculate prob of sequence zf when two letters picked without replacement from {y: 1, d: 1, f: 2, g: 6, z: 5}.
1/21
Two letters picked without replacement from qwqqbqbbbbbbbpphbb. Give prob of sequence bh.
5/153
Two letters picked without replacement from {d: 4, k: 2}. What is prob of sequence kd?
4/15
Four letters picked without replacement from {t: 7, a: 9}. What is prob of sequence atta?
9/130
What is prob of sequence ra when two letters picked without replacement from {a: 2, w: 2, d: 3, r: 5}?
5/66
Calculate prob of sequence cqq when three letters picked without replacement from {e: 1, n: 2, q: 3, l: 6, c: 1}.
1/286
Three letters picked without replacement from {s: 2, x: 1, q: 1}. Give prob of sequence qxs.
1/12
Four letters picked without replacement from {j: 2, h: 4, l: 1, a: 6}. Give prob of sequence haja.
2/143
What is prob of sequence ny when two letters picked without replacement from {a: 2, y: 1, n: 4, d: 3}?
2/45
Two letters picked without replacement from rar. What is prob of sequence ar?
1/3
Four letters picked without replacement from ppiiwpwgppdtwgtgpw. Give prob of sequence iwtp.
1/765
Calculate prob of sequence mii when three letters picked without replacement from iimilmimmi.
1/9
Three letters picked without replacement from oooooonnon. What is prob of sequence nnn?
1/120
Calculate prob of sequence qns when three letters picked without replacement from nnnnqnntqllsltq.
3/455
Four letters picked without replacement f | {
"pile_set_name": "DM Mathematics"
} |
-27, -2 in ascending order.
-52, -27, -2, 3, 4, 6, 115
Sort 2, 4, -6, 8, -1433, 762 in ascending order.
-1433, -6, 2, 4, 8, 762
Put 258, 5, -5, -11, 7, 2, -3 in descending order.
258, 7, 5, 2, -3, -5, -11
Sort -17, 1315, -50, 2 in descending order.
1315, 2, -17, -50
Sort 11, -177357, -3 in increasing order.
-177357, -3, 11
Put 2, 0.1, 5/6, -17, 732 in increasing order.
-17, 0.1, 5/6, 2, 732
Sort 10, -29099, 7.
-29099, 7, 10
Put 4, 43, -13, 21637 in decreasing order.
21637, 43, 4, -13
Sort 3, -316, 0, -4, 6 in ascending order.
-316, -4, 0, 3, 6
Sort -4.4, -76, 1/25, -12 in decreasing order.
1/25, -4.4, -12, -76
Put -548, 1645, -2 in decreasing order.
1645, -2, -548
Put 0.3, -0.04, -2/7, 39, -474 in increasing order.
-474, -2/7, -0.04, 0.3, 39
Sort -2, -10, -95, 4, -4, 8 in descending order.
8, 4, -2, -4, -10, -95
Put 0.1, 0.00061, -5, -7, 0.7, 1/5 in decreasing order.
0.7, 1/5, 0.1, 0.00061, -5, -7
Put -1/2, 3, -4, 3/5, -18, -922 in decreasing order.
3, 3/5, -1/2, -4, -18, -922
Sort 3, 2/7, -4.84, -0.3, 3/7 in descending order.
3, 3/7, 2/7, -0.3, -4.84
Put -2057550, 0, 3 in ascending order.
-2057550, 0, 3
Sort -5/3, 0.5, -16, -8049 in increasing order.
-8049, -16, -5/3, 0.5
Put 2, 13, 5, 137147, 0 in increasing order.
0, 2, 5, 13, 137147
Sort -70/23, 3, 1/5, -0.03, -2, 0.5 in decreasing order.
3, 0.5, 1/5, -0.03, -2, -70/23
Sort 4, 1, 103, -10, 2, -2, 5.
-10, -2, 1, 2, 4, 5, 103
Sort -2, 14, 2, 685, -51 in increasing order.
-51, -2, 2, 14, 685
Put 32, 17784, 0.4, -6, -0.4, -3 in descending order.
17784, 32, 0.4, -0.4, -3, -6
Sort -1, 7, 0, -2, -67618, 3, 1.
-67618, -2, -1, 0, 1, 3, 7
Put -4, 654, -28, -2243, 5 in decreasing order.
654, 5, -4, -28, -2243
Sort 17, -882, 0, -20 in increasing order.
-882, -20, 0, 17
Put -5, -97, 34, 0 in increasing order.
-97, -5, 0, 34
Put -5, 19109, 2099 in ascending order.
-5, 2099, 19109
Put 4, 0.25, -32, 4/5, -2, 86, 2.8 in decreasing order.
86, 4, 2.8, 4/5, 0.25, -2, -32
Put -30, 4, 56/3, 5, 1/3, 2/15, -2 in decreasing order.
56/3, 5, 4, 1/3, 2/15, -2, -30
Sort 2, 26, -1106, 5, 6.
-1106, 2, 5, 6, 26
Sort 4, -2, -14, 37, -1, 24 in descending order.
37, 24, 4, -1, -2, -14
Put 4, -14, 270, -1567 in decreasing order.
270, 4, -14, -1567
Sort 1, -272, 2, -2, -283, 4 in increasing order.
-283, -272, -2, 1, 2, 4
Put 641/9, -4, 91/2 in increasing order.
-4, 91/2, 641/9
Sort -9, -1, 22, 3, 224, 1, -4 in decreasing order.
224, 22, 3, 1, -1, -4, -9
Sort -47, -5002/37, -1/4.
-5002/37, -47, -1/4
Sort 24, -3, 3, 2, -11, 31.
-11, -3, 2, 3, 24, 31
Sort -5, 18, 0.1, -633, -2, 4 in ascending order.
-633, -5, -2, 0.1, 4, 18
Sort 188, 14, 44, 0.4, 1, -3 in increasing order.
-3, 0.4, 1, 14, 44, 188
Sort -2, 4, -34, -72, -11 in ascending order.
-72, -34, -11, -2, 4
Sort 5268445, 2, 3 in ascending order.
2, 3, 5268445
Put -69, -870, -4, 0 in increasing order.
-870, -69, -4, 0
Sort -5, 15, 18, -60, 102.
-60, -5, 15, 18, 102
Put 4, 1.23, 33, 0.4, 8/25, 1/6 in ascending order.
1/6, 8/25, 0.4, 1.23, 4, 33
Sort 4/7, 19, -9/83, 0, 33/28 in increasing order.
-9/83, 0, 4/7, 33/28, 19
Sort 104/3, 2, 0.0002, 5, 3/17.
0.0002, 3/17, 2, 5, 104/3
Put 0.0388, 7770, 5, -2/3, -4 in increasing order.
-4, -2/3, 0.0388, 5, 7770
Put 2, 0, 4, 1, 358, -10, -9 in increasing order.
-10, -9, 0, 1, 2, 4, 358
Put 5, 3892, 32, 7, -3, -5, -7 in ascending order.
-7, -5, -3, 5, 7, 32, 3892
Put 2, -2/3, -8, 68, 2/7, 0.9, 1 in decreasing order.
68, 2, 1, 0.9, 2/7, -2/3, -8
Sort 6, 3, -10, -23, 8 in ascending order.
-23, -10, 3, 6, 8
Put -1150, -3206, 3, -1 in increasing order.
-3206, -1150, -1, 3
Put -1123, 68, 0, -14, 1 in increasing order.
-1123, -14, 0, 1, 68
Sort -4, 17, 10, 5, -2.
-4, -2, 5, 10, 17
Put 4, 1200, -2/7, 3.22 in decreasing order.
1200, 4, 3.22, -2/7
Sort 3, 54, 41092.
3, 54, 41092
Sort 31, -195, -1, -0.4, -2/81 in ascending order.
-195, -1, -0.4, -2/81, 31
Put 5, 4, -7, -5, 3470, 7, -1 in decreasing order.
3470, 7, 5, 4, -1, -5, -7
Sort -4, -1, -147, -107, 0, 2 in increasing order.
-147, -107, -4, -1, 0, 2
Sort -205, 2/9, -40, -31/7, -0.2 in ascending order.
-205, -40, -31/7, -0.2, 2/9
Sort 2, 27, 1, -4, 40517 in descending order.
40517, 27, 2, 1, -4
Put 2, -157, -64977 in decreasing order.
2, -157, -64977
Put 2683, 4, 3, -8 in descending order.
2683, 4, 3, -8
Sort -4, -45, 6, -128, 2, -38.
-128, -45, -38, -4, 2, 6
Put -0.8, -46, -77/131 in decreasing order.
-77/131, -0.8, -46
Put 117.8, 0.2, -273.58 in increasing order.
-273.58, 0.2, 117.8
Put 0, 95, 5, -126, -3, 6 in ascending order.
-126, -3, 0, 5, 6, 95
Put -429, 4, -1/5, 1, 2, 41/12 in ascending order.
-429, -1/5, 1, 2, 41/12, 4
Put -5, -0.5, -0.055, 282, -2/21 in increasing order.
-5, -0.5, -2/21, -0.055, 282
Put 4/15, 0.4, -1/7, -16, 0.9 in ascending order.
-16, -1/7, 4/15, 0.4, 0.9
Sort 1/2, 0.2, 69, -0.13, 2, 2/11 in increasing order.
-0.13, 2/11, 0.2, 1/2, 2, 69
Sort -2/771, -5, -44.25.
-44.25, -5, -2/771
Sort 21, 35, 2, -1020, 1 in increasing order.
-1020, 1, 2, 21, 35
Put 2, -4, -35731, -1, 4, 5 in decreasing order.
5, 4, 2, -1, -4, -35731
Sort -4, -587010, 0.4 in descending order.
0.4, -4, -587010
Sort 9, -397, 2, -2, 12.
-397, -2, 2, 9, 12
Sort -57, 0, 8, 12992 in ascending order.
-57, 0, 8, 12992
Sort 985, 25/36, -0.53.
-0.53, 25/36, 985
Put -2/7, 3/7, 6/41, 0.037, 0.29 in decreasing order.
3/7, 0.29, 6/41, 0.037, -2/7
Sort -3, 1, -47, 11, 160 in decreasing order.
160, 11, 1, -3, -47
Put -5202, -5, 33, 0 in ascending order.
-5202, -5, 0, 33
Sort -1, 2, -8593524 in decreasing order.
2, -1, -8593524
Sort 1, -7, -73, 176, -3 in increasing order.
-73, -7, -3, 1, 176
Sort -3, 5, 484, -477, 4.
-477, -3, 4, 5, 484
Sort -106, 10, -244, -3 in decreasing order.
10, -3, -106, -244
Sort 4/39, 0.3, 2503, -0.14.
-0.14, 4/39, 0.3, 2503
Put 2, 2.657, -8, -2, -3 in decreasing order.
2.657, 2, -2, -3, -8
Sort 342, 4, 7, 16327.
4, 7, 342, 16327
Sort 7833, -3, -4, -14, 22.
-14, -4, -3, 22, 7833
Sort 41/2, -3, 1, -23, 0.029 in descending order.
41/2, 1, 0.029, -3, -23
Put -1, 7, -5, 511, -2, 4 in descending order.
511, 7, 4, -1, -2, -5
Put -4.4471, -1, -0.27, 27 in ascending order.
-4.4471, -1, -0.27, 27
Sort -0.4, -100, -27858 in increasing order.
-27858, -100, -0.4
Sort -49, 4/5, 2/67, 16.1.
-49, 2/67, 4/5, 16.1
Sort -0.019, -5, -4/51, -2, -2.99 in ascending order.
-5, -2.99, -2, -4/51, -0.019
Put 786, 0, 76, -0.48 in decreasing order.
786, 76, 0, -0.48
Sort -3, -2, 4, 50, 29, 9.
-3, -2, 4, 9, 29, 50
Sort -5, 21, 510, -6, -1, -3, 4 in descending order.
510, 21, 4, -1, -3, -5, -6
Put 40, -5, 1165552 in decreasing order.
1165552, 40, -5
Sort 3, 2533, 0, -299, -5.
-299, -5, 0, 3, 2533
Put 5, 32, 2, -4, -174, -9, 9 in decreasing order.
32, 9, 5, 2, -4, -9, -174
Sort 1, 4, -1, -3, -5, 2922, -46 in ascending order.
-46, -5, -3, -1, 1, 4, 2922
Sort -1/4, -0.1, 1/3, -1, -10014/11 in descending order.
1/3, -0.1, -1/4, -1, -10014/11
Put 5, 65245072, -1 in decreasing order.
65245072, 5, -1
Sort -40, -4, -29, 0, 4, 79 in increasing order.
-40, -29, -4, 0, 4, 79
Put 2, -156, -5, -2, 6, -9 in decreasing order.
6, 2, -2, -5, -9, -156
Put 3693, -815, 0, -5 in descending order.
3693, 0, -5, -815
Sort 40, -4/5, -0.5, 19384 in decreasing order.
19384, 40, -0.5, -4/5
Sort 2602, -1, 1, -2, 548 in increasing order.
-2, -1, 1, 548, 2602
Put -36/25, -1/3, 0.14, 1.1, 1 in increasing order.
-36/25, -1/3, 0.14, 1, 1.1
Put -814984/11, -1, 3 in increasing order.
-814984/11, -1, 3
Sort -28587, -299, 84.
-28587, -299, 84
Sort 39, -3, 5, -22, -32 in ascending order.
-32, -22, -3, 5, 39
Sort -627294, -1, -2, 92, 3 in descending order.
92, 3, -1, -2, -627294
Put -1, -1218472, 3, -5, 9 in increasing order.
-1218472, -5, -1, 3, 9
Put -5, -3, 1213580, 5 in descending order.
1213580, 5, -3, -5
Sort 1, 2, 6, 5, 7, 125, -5 in ascending order.
-5, 1, 2, 5, 6, 7, 125
Sort 1/145, -15/2, -145/27.
-15/2, -145/27, 1/145
Sort -215, -91051, 4.
-91051, -215, 4
Put 0.2, 3, -0.13, 7, 30, 218 in decreasing order.
218, 30, 7, 3, 0.2, -0.13
Sort -4, 5, 8, 764, 1, -351 in decreasing order.
764, 8, 5, 1, -4, -351
Put 2, -10, -0.8, -4, -5, 258 in decreasing order.
258, 2, -0.8, -4, -5, -10
Put -7, -1306, 4, -4, -5, -2 in increasing order.
-1306, -7, -5, -4, -2, 4
Sort 5, 4, -31, -23, 0, -21 in descending order.
5, 4, 0, -21, -23, -31
Put 0, -6, 5, 2, -3 | {
"pile_set_name": "DM Mathematics"
} |
d (-6 - 9 + 3)*(0*i + 0*i + 3*i).
-36*i
Expand (-3*h + 0*h - 3*h)*(12 - 5 - 3).
-24*h
Expand (-2 + 4 + 0)*(-a**2 - 4*a + 4*a) + (a + 0*a + 0*a)*(-a + a - 4*a).
-6*a**2
Expand (2*k**2 + 0*k**2 - k**2)*(10*k + 7 - 7)*(-5*k + 2*k + 2*k).
-10*k**4
Expand (93 - 93 - 4*i)*(2 - 2 + i) - 1 - i**2 + 1 + 2*i**2 - 2*i**2 + 2*i**2.
-3*i**2
Expand 0*k**2 - 2*k**3 + 0*k**2 + (0 - 2*k + 0)*(-2 + 2 + k**2) + 10*k**3 + 3*k**3 + 14*k**3 - 2*k**3 + k**3 + 0*k**3.
22*k**3
Expand 2*h**4 - 2 + 2 + (h**3 + h**3 + 0*h**3)*(h + 0*h - 3*h) + (3 - 4 + 0)*(2*h + 5 - 5)*(0*h**3 + h**3 + 11*h**3).
-26*h**4
Expand (-2 + 3 + 0)*(0*f + 11*f + 3*f).
14*f
Expand (0*v**4 + 2*v**4 + 0*v**4)*(-1 + 5 - 2)*(22 + 5 - 6)*(3*v - 6*v + 2*v).
-84*v**5
Expand r**2 - 4*r**2 - r**2 + r**2 + 3*r**2 - 2*r**2 + 5*r**2 + r**2 - 4*r**2 + (6*r - 2*r - 2*r)*(r - r + r) + 2*r**2 - 2 + 2 + 3*r**2 + r**2 - 2*r**2.
6*r**2
Expand (5*l + l - 5*l)*(2*l - 5*l + 0*l) + (2*l - l + 0*l)*(-3*l - 4*l + 5*l) + l**2 + 2*l**2 - 4*l**2.
-6*l**2
Expand s**2 + 4*s**3 - 1557*s + 1557*s + (s - 3*s + 0*s)*(3*s**2 - 2*s**2 + 0*s**2).
2*s**3 + s**2
Expand (-1 + 1 + 2*v)*(v - v + 2*v)*(-128 + 128 + 12*v).
48*v**3
Expand (-2*i**2 + 2*i**2 + i**2)*(2*i + i - 2*i) - 2*i**3 + i**3 + 4*i**3 + (-1 + 5*i**3 + 1)*(-1 + 2 + 2).
19*i**3
Expand (0*g - 3*g - 5*g)*(-2*g + 6*g - 2*g) - g + 2*g**2 + g + 3 - g**2 - 3.
-15*g**2
Expand (5*y + 0*y - 3*y + 14)*(-5*y**2 - 2*y**2 + 5*y**2).
-4*y**3 - 28*y**2
Expand (4*g - 2*g - g - 2*g - 3*g + 3*g + (-g + 0*g + 2*g)*(-4 + 5 - 2) + 4*g - g - 2*g - 2 + 3*g + 2)*(3*g + 2*g - 3*g) - 2 + g**2 + 2.
5*g**2
Expand (r - r - r)*(-2*r**4 + r**3 - r**3) + (0*r**2 + 0*r**2 - 2*r**4)*(2 - 9*r - 2) + r**5 - 4*r**5 + r**5.
18*r**5
Expand (3 - 2*c - 3)*(5*c + 7*c + 2*c).
-28*c**2
Expand 83 + 10*u - 83 + (0 + 0 - u)*(2 - 5 + 2).
11*u
Expand (5*y**2 + 0*y**2 - 3*y**2)*(-3*y - y + 0*y) + 2*y - 7*y - y**3 + 3*y.
-9*y**3 - 2*y
Expand (-3*m + 0*m - 2*m)*(m - 5*m + 3*m - m + 0*m + 2*m + (-1 + m + 1)*(-3 + 2 + 3) + m + 0*m - 2*m).
-5*m**2
Expand (2*v**3 - 3*v**3 + 0*v**3)*(6*v - v - 3*v) + (0*v**2 + 0*v**2 - 5*v**2)*(0*v**2 + v**2 - 2*v**2).
3*v**4
Expand (11*d**3 - 2*d**3 + 2*d**3)*(-2*d + 4*d + 0*d) + d**4 - d**2 + d**2 + (1 + d**3 - 1)*(-4*d + 5*d - 3*d).
21*d**4
Expand b**4 - 2*b**4 - 2*b**4 + (3*b**2 + b**2 - 7*b**2)*(0*b**2 + b**2 + 2*b**2).
-12*b**4
Expand 5*b**4 - 8*b**4 + 7*b**4 + (-3*b + 3*b - 3*b**3)*(b + 2*b - 5*b).
10*b**4
Expand (-l - l + 0*l)*(l - 2 + 2) + 13*l**2 + 49*l - 49*l - 6*l**2 + 5*l**2 + 2*l**2.
12*l**2
Expand (13*y + 9*y - 7*y)*(y**4 - 8*y + 8*y).
15*y**5
Expand -5*p**4 + 3*p**4 + 0*p**4 + (4 - 3 - 3)*(3*p**2 - 3*p**2 - 2*p**4) + 2*p**4 + 0*p**2 + 0*p**2 - 2*p**4 + 28 - 28 - 3*p.
2*p**4 - 3*p
Expand (-3*s + 4 + 1 - 4)*((5*s + 0*s - 3*s)*(3 + 0 - 1) + (3 - 3 - 1)*(-2 + 2 - 3*s)).
-21*s**2 + 7*s
Expand ((2*u - u + u)*(3*u + 0*u - u) + u**2 - 2*u**2 + 2*u**2 - 2*u + 9*u**2 + 2*u)*(-2*u + 2*u + 3*u)*(6*u - 2*u - 3*u).
42*u**4
Expand -2*s + 0 + 0 + (-2 + 2 + 1)*(-3*s - 2*s + 3*s) + (-4 + 0 + 2)*(2 - 2 + 2*s) - s + 5*s - 2*s + 0*s + s - 4*s.
-9*s
Expand ((3 - 3 + z)*(8 - 2 - 1) + 3*z + z - 2*z)*(-3*z - z + 3*z)*(-1 + 4 - 1).
-14*z**2
Expand (1 - 2*s**2 - 1)*(1 - 2 + 3) + 2*s**2 - 4 + 4 - s**2 + 4*s**2 - 2*s**2 + (-4*s**2 - 4*s**2 + 6*s**2)*(4 - 1 - 1) - 2*s**2 + 0*s + 0*s.
-7*s**2
Expand (4*k**3 - 7*k**3 + k**3)*(1 - 2 - 2)*(-2*k - 6*k + k).
-42*k**4
Expand (12*g**2 + 23*g - 23*g - 2)*(0 + 0 - 2*g**2).
-24*g**4 + 4*g**2
Expand (2*a**2 - 4*a**2 + a**2)*(2 - 2 + 1 + (-2 + 1 + 0)*(0 + 0 + 1) + 2 - 2 + 2 + (2 + 0 + 0)*(0 + 0 - 2)).
2*a**2
Expand ((-3 + 2*z + 3)*(3 - 2 + 1) + 0*z + 2*z + 0*z + z - 4*z + z)*(7 + 6*z**4 - 8 - 7*z**4).
-4*z**5 - 4*z
Expand (-c + c + 2*c**3)*(642*c - 642*c + 10*c**2).
20*c**5
Expand (-n - 23 + 44 - 23)*(1 - 6 + 3).
2*n + 4
Expand (7 - 7 + 2*a**2)*(-1 - 2 + 4 + (-3 + 0 + 5)*(4 - 2 - 1)).
6*a**2
Expand (0 + 0 + d**3)*(3 - 2 + 0) + (-2 + d + 2)*(d**2 - 4*d**2 + 4*d**2) - 4*d + 4*d + 2*d**3 + 2*d**3 + 3*d**2 - 3*d**2 - 3*d**3 + 0*d**3 - d**3.
2*d**3
Expand (7*g - 6*g - 4 + 0)*(-5 - 4 + 4).
-5*g + 20
Expand (-2*a - 1 + 1)*(4*a**3 - 4*a**3 - a**3) + (-2*a - a - a)*(0*a**2 - a**3 + 0*a**2).
6*a**4
Expand (2*h**2 - 1 + 1)*(0*h - 3*h + 2*h)*(3*h - 5*h + 3*h).
-2*h**4
Expand y**5 - 2*y**5 - y**5 + (2*y + 0*y - y)*(0*y**2 - 2*y**4 + 0*y**2) + y**5 + 2*y**5 + 0*y**5 + 3*y**5 - 4*y**5 + 0*y**5.
-2*y**5
Expand (3 + 1 - 1)*(d**3 - d**3 - 2*d**3) + (4*d - 4*d + 2*d**2)*(-d - 4 + 4) - 2 - 2*d**3 + 2.
-10*d**3
Expand (-210 - 103*u + 210)*(0 + 3 - 2).
-103*u
Expand (-4*d**3 + 0*d**3 + 2*d**3)*(-3*d + 4*d - 2*d) - 4*d**4 + 0*d**4 + d**4 - d + 0*d**4 + d**4 + 2*d**4.
2*d**4 - d
Expand (-5 + 1 + 5)*(4*b + 2*b - 4*b)*(1 + 0 + 1) - 3*b + 1 - 1.
b
Expand ((-2*i**2 + i**2 - i**2)*(-1 + 1 + i) - 3 - 2*i**3 + 3 - 2*i**3 + 2*i**3 + i**3 + (-2*i - 3 + 3)*(2 - 2 - 2*i**2))*(i**2 - 5*i**2 - 6*i**2).
-10*i**5
Expand (-20*h - 3 + 11*h + 17*h)*(-h - 3*h - 2 + 0*h).
-32*h**2 - 4*h + 6
Expand (3*r**2 + 2*r**2 - 4*r**2)*(-1 + 3 + 3)*(-1 + 5 - 3)*(-2*r + 2*r - 2*r).
-10*r**3
Expand (-70*r**3 + 142*r**3 - 74*r**3)*(-3 + 5 - 1).
-2*r**3
Expand (-12*x - 6 + 6)*(-2*x**2 - 2 + 2).
24*x**3
Expand (-o - 4 + 4)*(-3*o + 0*o + o) - 7 + 7 - 5*o**2 + (3 + o - 3)*(3*o + 4*o - 3*o).
o**2
Expand 4*m**4 - 4*m**4 + 3*m**4 - 1 + 1 - 4*m**4 + (-m**2 + 2*m**2 - 3*m**2)*(4*m + 2*m**2 - 4*m) + 1 - 3*m**4 - 1 - 5*m**4 + 0*m**4 + 3*m**4.
-10*m**4
Expand -1 + 1 + l**2 + (6*l + 0*l - 4*l)*(-l + 5 - 5) + (1 + 8 + 1)*(-4*l**2 + l**2 + 2*l**2).
-11*l**2
Expand (-4 - 4 - 1)*(2*m + 2*m - 6*m + (-m + 6*m - 3*m)*(2 - 2 - 1) + 1 - 1 + m).
27*m
Expand ((-4 + 3 + 0)*(2*s - 4*s + 3*s) + 2 - 2 - s)*(2*s**3 - 4*s**3 + 3*s**3).
-2*s**4
Expand (s - 2*s + 6*s)*(3*s**3 + 3*s - 3*s) + (-3*s - 2*s + 3*s)*(-2*s**3 + s**3 - s**3).
19*s**4
Expand (-1 + 0 + 2)*(2 - 1 - 2)*(-2*z + 3*z - 3*z)*(3*z**2 - 33 + 33).
6*z**3
Expand (3*y - 2*y + 0*y)*(3*y**2 + y - y)*(5*y**2 - y**2 - 3*y**2).
3*y**5
Expand (d**3 - d**4 - d**3)*(0 + 0 - 2*d) + 2*d**5 - 3*d**2 + 3*d**2 + 2*d**5 + 2 - 2 + (2*d - 2*d - d**2)*(2*d**3 - d**3 - 2*d**3) + 2*d**5 + d**5 - 2*d**5.
8*d**5
Expand (0*h - 2*h - h)*(-9 + 1 + 1).
21*h
Expand (5 + 2 - 5)*(0*o + 4*o - 3*o) + 3 - 2*o - 3 + 2*o + 0*o - o + (0 - 3 + 2)*(o + 0*o - 2*o) + 1 + 2*o - 1.
4*o
Expand (a + a - a)*(-8 + 6 - 6) - 2 - a + 0 + 1.
-9*a - 1
Expand 7*x**5 + 0*x**5 - 3*x**5 + 4*x**5 - 3*x + 3*x + (x + 5*x - 4*x)*(x**4 + 3*x**3 - 3*x**3).
10*x**5
Expand 1 - 1 + o**3 + (-o + 0*o + 3*o)*(-3*o**2 + 13 - 13) - 2*o**3 - 1 + 1.
-7*o**3
Expand -f**2 + 2*f**4 + f**2 + (1009 - 7*f - 1009)*(0*f - 2*f**3 + 0*f).
16*f**4
Expand 2*r**5 + 0*r**5 - 6*r - 2*r + (-r**4 - 4 + 4)*(-r + 4*r - 4*r).
3*r**5 - 8*r
Expand (k - 2 + 2)*(30*k**3 - 17*k**3 - 7*k**3).
6*k**4
Expand (-13 + 13 + 4*x)*(5*x - 2*x - 2*x + (2*x + 0*x - 4*x)*(-2 - 4 + 4) - 1 + 2*x + 1 + 18*x + x - 2*x).
96*x**2
Expand 16*g - 11*g - 6*g - 12*g**2 + (g**2 - 2*g**2 + 3*g**2)*(-4 + 2 + 3).
-10*g**2 - g
Expand (-2*k**3 - 2*k**3 + 6*k**3)*(1 + 0 + 0)*(0*k + 0*k - k) - k**4 + 0*k**4 + 0*k**4 + (3 + 2*k**4 - 3)*(1 - 1 + 1).
-k**4
Expand (-8*f + 6*f + 4*f + (1 - 1 - 2)*(f - 5*f + 3*f))*(5 - 4 - 4) + 3*f - 1 + 1.
-9*f
Expand -z**2 + 3*z**2 + 11*z**2 + z**3 - z**3 - 4*z**3 + 6*z**3 + (-2*z**3 + 5*z**3 - 2*z**3)*(1 + 1 + 0).
4*z**3 + 13*z**2
Expand (-3*h + 4*h - 4*h)*(-3 + 3*h + 3 + h + 3*h - 6*h + (0*h + 3*h - 2*h)*(1 - 2 + 0) - 2*h - 2 + 2 + 2 - 2*h - 2 + 4*h - 5*h - h).
18*h**2
Expand (60*s**2 - 109*s**2 + 61*s**2)*(-s + 0 + 0).
-12*s**3
Expand (2 - 6 + 3)*(4*a**4 - 4*a**4 - 11*a**4).
11*a**4
Expand (2*c - 1346 + 0*c + 1382)*(c + c + 0*c).
4*c**2 + 72*c
Expand -18 + 42*c + 6 - 40*c + 3 - 3 + c + (-2 - 1 + 2)*(1 + 2*c - 1) + 4 - 4 - c + 0 + 0 - 2*c.
-2*c - 12
Expand (-q - 3 + 3 + (-5*q + 2*q + 4*q)*(4 + 2 - 2))*(-2*q**2 + 0*q + 0*q).
-6*q**3
Expand ((2 - 4 + 0)*(-s - 3*s + 2*s) - s - 3*s + 3*s + 2*s + 3*s - 6*s + (-3 + 4 + 0)*(-3*s + s + s))*(-3*s + 2*s + 0*s).
-s**2
Expand (-46*i - 4*i + 6*i)*(-2*i**3 + 2*i**3 - i**3).
44*i**4
Expand -3*w**4 + 8*w**4 + 0*w**4 + (-4 - 2*w + 4)*(2*w**2 - 2*w**2 - w**3) + 3*w**4 + w**4 - 3*w**4.
8*w**4
Expand (-2*a**4 - 4*a + 4*a)*(2 - 6 - 1)*(2 - 2 - 1).
-10*a**4
Expand (-p + p + p**2)*(-3 + 4 + 0) + (2*p + 4 - 4)*(2 + 2*p - 2) - 8*p**2 + 0*p**2 - p**2.
-4*p**2
Ex | {
"pile_set_name": "DM Mathematics"
} |
+ 31. What is the highest common factor of l and 11?
11
Let v be (-83)/(-9) - (-4)/(-18). Let r = -6 + v. Suppose 2*c - 6*c - 2*g = -54, 4*g + 36 = 4*c. What is the highest common divisor of c and r?
3
Suppose -4*d = 3 + 1. Let n = 82 + d. Calculate the highest common divisor of 27 and n.
27
Let n be (-3)/6 + 8430/12. What is the greatest common divisor of 156 and n?
78
Suppose 0*n + 2*n = 12. Let p = -246 + 270. Calculate the highest common divisor of p and n.
6
Suppose 4*p - s - 67 = -p, p = -4*s + 26. Let l(i) = 3*i**3 + 4*i**2 - 4*i + 3. Let m be l(2). Calculate the highest common divisor of m and p.
7
Let m(a) = 55*a**3 - a**2 - a + 1. Suppose -3*c = 2*c - 5. Let b be m(c). Let z be ((-66)/9)/((-4)/b). Calculate the highest common factor of z and 11.
11
Let x be (-3)/(6 - (-4543)/(-504) - -3). What is the greatest common factor of 27 and x?
27
Let s = -731 + 747. Calculate the highest common divisor of 104 and s.
8
Suppose -17 = -2*v - 9. Let u = -18 - -34. What is the highest common factor of u and v?
4
Let l(x) = x**3 - 2*x**2 + 2*x + 17. Let o be l(4). Calculate the highest common factor of o and 3.
3
Suppose -10*f - 84 = -12*f. Suppose 0 = 5*t + 142 - f. Let r = t + 31. What is the greatest common factor of 1 and r?
1
Suppose -3*i + 135 = -3*o, 73 + 112 = 4*i - 5*o. Calculate the greatest common factor of 140 and i.
20
Suppose 0*m = -5*m + 25. Suppose -5*g + 3*z + 7 = -5, -3*g + 2*z + 7 = 0. Let n be (-1 - -2) + g + 11. What is the greatest common divisor of m and n?
5
Suppose 0 = 2*p - 3*w - 75, -5*p + 168 = 5*w - 57. Calculate the highest common divisor of p and 987.
21
Let a be -3 + 9 - (-1)/(-1). Let v(p) = -6 + 28 + 2*p - 12 - 6. Let o be v(a). What is the highest common divisor of 98 and o?
14
Let n = -99 - -129. Calculate the greatest common divisor of n and 570.
30
Suppose -3*g - 9 = 0, -3*a - 6 = -3*g - 0*g. Let v be -1 + -3 + 15 + a. Calculate the highest common divisor of v and 66.
6
Let g = 103 + -101. Suppose -p + g*p = 84. Calculate the greatest common divisor of 12 and p.
12
Let z be (8/6)/(-4)*-39. Suppose 12 = -9*k + z*k. Suppose k*p - 88 = -p. Calculate the greatest common factor of p and 44.
22
Let p = -356 + 388. Calculate the greatest common factor of p and 6.
2
Let f = 28 - 26. Suppose 2*k = 2*b, f*b - 3*k + 3 = -0*b. Suppose -365 = -5*i + w - 38, 0 = i - b*w - 57. What is the highest common divisor of i and 6?
6
Let n be 8/28 + 556/14. Suppose -5*h + 115 = -n. Suppose -i - 3*w + 57 = 2*i, -5*w - h = -2*i. Calculate the greatest common divisor of 12 and i.
6
Suppose 208 = 2*n - 0*n. Suppose 3*u + 9 = -4*o, 2*o - 5*u + 0*u = 15. Suppose o = 5*z - z - n. What is the highest common divisor of 234 and z?
26
Let d be 95/(1/1*(1 - 0)). What is the highest common divisor of 15 and d?
5
Let s be (-16)/(-3) + (-1)/3. Suppose -5*m + 2*b + 26 = 0, -5*b - 2 = -4*m + 12. Suppose -35 = -o - m*o. What is the highest common factor of o and s?
5
Let h(g) = 22*g**3 - 4*g - 4. Let c be h(2). Calculate the greatest common divisor of 123 and c.
41
Let n be (-10)/4*72/(-10). Let m(p) = -9*p + 9. Let b(g) = -8*g**3 + g. Let v be b(1). Let w be m(v). What is the greatest common divisor of n and w?
18
Let l = 26 - 3. Let j = 27 - l. Suppose 4 = 3*g - 4*g, 4*c - 136 = -j*g. Calculate the greatest common divisor of 95 and c.
19
Let c = 255 + -180. Calculate the greatest common factor of c and 30.
15
Let o(x) = -3*x + 13. Let m be o(3). Suppose -4 = 4*v, 5*g = -m*v + 45 + 41. Calculate the greatest common divisor of 126 and g.
18
Let z(r) = 8*r - 4. Let w be z(6). Suppose 0 = 3*n - 6*n - 9. Let f be (-9)/(-3) + (n - -4). What is the highest common factor of f and w?
4
Let t(r) = r**3 - 13*r**2 - 14*r + 9. Let d = 10 + 4. Let u be t(d). What is the greatest common factor of u and 63?
9
Suppose -9 = -3*h, -129 = 2*q - 7*q - 3*h. What is the greatest common factor of 120 and q?
24
Let r = -139 + 136. Let z be (r*(-80)/18)/((-26)/(-117)). Calculate the greatest common factor of 45 and z.
15
Suppose -4*d + 53 + 7 = 0. What is the highest common factor of 15 and d?
15
Suppose 0*q - 5*q - 3*l = 2, 0 = 4*q - 2*l - 16. Suppose -234 = -5*g + 5*s + 181, -q*g + 5*s + 163 = 0. Calculate the highest common divisor of g and 28.
28
Let c(x) = 2*x - 7. Let z be c(7). Let m = -180 - -300. Let k = -71 + m. What is the greatest common divisor of z and k?
7
Let k = 9 - -2. Suppose 31 = 5*g + 4*x, -4*g - x = -k - 5. Let j = 14 + -8. Calculate the highest common factor of j and g.
3
Let n(k) = -6 + 1 + 2 + 2*k + 2. Let x be (-4 - -18) + 1/(-1). Let c be n(x). What is the highest common divisor of c and 175?
25
Suppose -5*i + 50 = 5*l, -l = -i + 1 + 1. Let s(t) = -t**2 + 16*t - 14. Let k be s(i). What is the greatest common factor of k and 23?
23
Let n(u) = u**3 - 51*u**2 - 54*u + 256. Let w be n(52). What is the greatest common factor of w and 133?
19
Let w be (12/(-20))/(3/(-195)). What is the greatest common divisor of w and 104?
13
Let t = 52 - 37. Suppose -33*w + 37*w - 420 = 0. Calculate the greatest common divisor of w and t.
15
Let h be 2 + -7 + (-20)/5. Let b = -7 - h. Suppose -588 = -5*w + 5*n + 287, -b*w + 358 = -4*n. What is the highest common factor of 19 and w?
19
Suppose -2*z = k - 6, 5*k = -10*z + 9*z + 39. Let m = 3 - 5. Let b be 42 - 1/m*-4. Calculate the greatest common factor of k and b.
8
Let t be -3*((-4)/(-3))/1. Let s be ((-124)/2 + t)/(-2). Let x = s + -24. Calculate the greatest common factor of x and 36.
9
Suppose 34 = 2*p + i, 3*p + 8*i - 25 = 13*i. What is the greatest common factor of 1515 and p?
15
Suppose 225 = 26*k - 87. Calculate the greatest common factor of 66 and k.
6
Let f = -103 + 166. What is the greatest common factor of 42 and f?
21
Let x(w) = -9*w**3 + 51*w**2 - 12*w + 2. Let o be x(5). What is the greatest common factor of o and 1472?
92
Let h(y) = -y**2 - 25*y + 44. Let d be h(-20). Calculate the greatest common divisor of 60 and d.
12
Let b(t) = t**3 - 8*t**2 + 5*t + 15. Let h be b(8). Let f be 3 - 1 - (28 + -37). What is the greatest common divisor of f and h?
11
Let v(n) = 73*n + 300. Let r be v(0). What is the greatest common divisor of r and 75?
75
Let k(u) = u**2 - 14*u - 9. Suppose -2*i = v - 50 + 15, 0 = 2*i - 5*v - 17. Let y be k(i). Calculate the greatest common divisor of y and 207.
23
Suppose 555 = 11*q - 28. What is the highest common factor of 212 and q?
53
Let k(a) = a**2 + 2*a - 11. Let z be k(5). Suppose 0*o = o - 120. Suppose 2*f - o = f. What is the greatest common divisor of z and f?
24
Suppose -39*w = -1135 - 1829. Calculate the greatest common divisor of 1216 and w.
76
Let c be (22 - 1) + -144 + 141. Let q(o) be the second derivative of 5*o**3/6 + 3*o**2 + o. Let m be q(6). What is the highest common divisor of c and m?
18
Let x = 17 + -8. Suppose -388 - 1097 = -15*v. Calculate the highest common factor of x and v.
9
Let m be ((-294)/(-30) + -8)*40/6. Let t(f) = 3*f - 25. Let y be t(m). What is the highest common factor of y and 44?
11
Suppose -f - 3*u = 5, 2*f = -f - 2*u - 1. Let b be f*2/(-2) - 11. Let n be b*5/((-30)/16). Calculate the greatest common factor of 8 and n.
8
Let j = 31 + -22. What is the greatest common factor of 1422 and j?
9
Let o be (-1 - 1)/((-11)/77). Let m(i) = -i**3 + 11*i**2 - 3*i - 9. Let p be m(9). What is the highest common divisor of o and p?
14
Suppose -o + r + 73 = 27, -5*o = -3*r - 236. Let v = 786 - 779. Calculate the greatest common divisor of v and o.
7
Suppose -59 = -9*m + 31. Let y(x) = x**2 - 6*x. Let k be y(m). What is the greatest common divisor of k and 20?
20
Suppose 5*x = 0, -2*h + 696 = 2*h + 3*x. Let r be h/15 + 1 + (-2)/(-5). Calculate the greatest common divisor of r and 143.
13
Suppose x - 4 - 32 = -4*i, 5*i = -5*x + 45. Calculate the highest common divisor of 117 and i.
9
Suppose 6 = 3*d - 3. Suppose 5*m - 55 - 125 = -4*l, d*l = 0. Suppose -2*f = -m - 2. What is the greatest common divisor of f and 133?
19
Let p be 6/(-4) + (-39)/(-2). Suppose 4*o - 93 = 3*c, 4*o - 63 = 2*c + 35. What is the highest common factor of o and p?
9
Let w(a) = -24*a - 32*a**2 + 57*a**2 - 23*a**2 - 4. Let h be w(14). What is the highest common factor of h and 13?
13
Let z = 13 - 10. Suppose z*m - 38 = 4*s, 5*m - 2*s - 102 = -5*s. Suppose -2*q + 412 = -4*k, 376 = 2*q - | {
"pile_set_name": "DM Mathematics"
} |
43. Let k(r) = -7*r**3 + 4*r**2 - 281. Calculate 4*a(w) + 11*k(w).
-w**3 + 281
Let w(f) = 8*f + 5. Let j be (-60)/(-8) - (3 + 10/(-4)). Let q(u) = -9*u - 6. Determine j*w(l) + 6*q(l).
2*l - 1
Let o(r) = 4*r - 1. Let h(x) = 482*x + 4. Determine h(n) + 6*o(n).
506*n - 2
Let o(x) = x**2 - x + 1. Suppose -5*y + 5*p = -20, 5*y + 7*p = 3*p + 20. Let v(q) = 5*q**2 - 4*q + 2. Determine y*o(g) - v(g).
-g**2 + 2
Let y(d) = -6*d**2. Let r(k) = 3*k**2. Let s(u) = u**2 - 54*u + 320. Let x be s(7). Give x*r(p) - 4*y(p).
-3*p**2
Let b(u) = 5*u - 18. Suppose -v + 2*v - 9 = -d, -v - 57 = -5*d. Let t(g) = d*g - 10*g + g - 6. What is -3*b(c) + 8*t(c)?
c + 6
Let n = 74 - 73. Let k(w) = -n - 3*w - w + 0*w + 6*w**2 + 2. Let q be -4 + 2 + (-9)/(-1). Let u(b) = -11*b**2 + 7*b - 2. Give q*k(j) + 4*u(j).
-2*j**2 - 1
Let p(u) = -u**2 + 2*u. Let w(q) be the second derivative of -5*q**4/12 + 11*q**3/6 - 206*q. Give 11*p(k) - 2*w(k).
-k**2
Let y(i) = -3*i**2 - 271. Let o(r) = 2*r**2 + 273. What is 5*o(m) + 4*y(m)?
-2*m**2 + 281
Let h(y) = -1. Let z(g) = -g + 2. Let o(a) = -2*h(a) - z(a). Let q(w) = -8*w. Give 51*o(u) + 6*q(u).
3*u
Let l(p) = 20*p**3 - p**2 - 12*p - 14. Let w(f) = 3*f + 1. Calculate -l(s) - 4*w(s).
-20*s**3 + s**2 + 10
Let y(f) = 17*f**2 - 8*f + 8. Let g(v) = 11*v**2 - 5*v + 5. Let o(j) = -2*j - 9. Let r be o(-4). Let x be (-93)/(-12) + r/(-4). Give x*g(l) - 5*y(l).
3*l**2
Let g(f) = -688*f. Let a(w) = 154*w - 80*w - 101*w. Determine -128*a(b) + 5*g(b).
16*b
Let m(r) = r**3 - r**2 + r. Let q(f) = -3*f**3 + f**2 - 3*f + 2. Suppose 0 = 5*d - 5*g + g + 178, 4*d - 2*g + 140 = 0. Let p = d + 33. What is p*m(i) - q(i)?
2*i**3 + 2*i - 2
Let v(r) = 2*r**2 - 2*r + 127. Let a(q) = q**2 - 2*q - 4. Give -a(f) + v(f).
f**2 + 131
Let g(v) = -3*v**2 + 5*v - 3. Let a(s) = 6*s**2 - 9*s + 5. Suppose 2*y - 3*z + 1 - 7 = 0, y - 5*z = -11. Suppose -3*l + y*l = 18. Give l*a(f) + 5*g(f).
3*f**2 - 2*f
Let s(q) = q**2 + 58*q + 3. Let f(h) = -h**2 - 59*h - 2. What is -4*f(l) - 3*s(l)?
l**2 + 62*l - 1
Let o(s) be the second derivative of -s**3/3 + s**2 - 8*s. Let n = 21 - 22. Let u be n/(-2*4/16). Let p(k) = 1. Calculate u*p(l) - o(l).
2*l
Let z(v) = -8*v - 11. Let x(h) be the second derivative of 0 - 7/6*h**3 - 5*h**2 + 8*h. Give -7*x(q) + 6*z(q).
q + 4
Let q(a) = 2*a**2 + 55*a - 1 - 54*a - a**2. Let o(d) = -d + 2. Let n(j) = -j**2 - 8*j + 1. Let u be n(-8). Calculate u*q(x) + o(x).
x**2 + 1
Let c(u) = 35*u**2 + 4*u + 3. Let k(a) = 245*a**2 + 30*a + 20. Determine 15*c(b) - 2*k(b).
35*b**2 + 5
Let l be 1 + ((-7)/((-14)/10))/1. Let b(z) = 7*z + 49. Let c(h) = h + 6. Give l*b(j) - 49*c(j).
-7*j
Let l(c) = 950*c - 9. Let k(h) = 477*h - 4. Calculate 5*k(f) - 2*l(f).
485*f - 2
Let m(i) = 1 - 98*i**2 + 49*i**2 + 56*i**2 - 6 + 4*i. Let q(p) = -p + 1. Determine m(z) + 5*q(z).
7*z**2 - z
Let s(n) = -2*n + 7. Suppose -5*p = -1 + 26. Let c(k) = 10*k - 19. Let z(b) = 7*b - 13. Let j(h) = 5*c(h) - 7*z(h). Let g be 1*(1*-3)/1. Give g*s(u) + p*j(u).
u - 1
Let x(f) = 14*f + 2. Suppose 3*c + 6 = 2*d + d, -3*d + 12 = -5*c. Let z(q) be the third derivative of q**4/24 - 11*q**2 - 2. Give d*x(i) + 12*z(i).
-2*i - 2
Let t(u) = u - 209. Let i(v) = -5*v + 839. Determine -2*i(r) - 9*t(r).
r + 203
Let h = 1 + -8. Let w(a) = -13*a**3 + 6*a**2 - 10*a. Let j be 10/(-30) + 20/(-12). Let b(u) = 4*u**3 - 2*u**2 + 3*u. Give h*b(g) + j*w(g).
-2*g**3 + 2*g**2 - g
Let u(p) = p**3 - p**2 - 1. Suppose 1 = -4*k - 7. Let l = 4 - 6. Let f(t) = 11*t - 21595*t**2 + 21596*t**2 - 10*t. What is k*f(i) + l*u(i)?
-2*i**3 - 2*i + 2
Let k(x) = x + 1. Let z = 11290 - 11286. Let u(f) = 7*f + 2. Suppose -5*a = -5*j - 7 + 27, -2*j + 2 = 4*a. Calculate a*u(y) + z*k(y).
-3*y + 2
Let k = 198 + -196. Let j(f) = -4*f**3 + 2*f**2 + f. Let w(h) = -h**3 + h**2 - h. Determine k*w(s) - j(s).
2*s**3 - 3*s
Let z(g) = -78*g - 9. Let s(o) = -77*o - 11. Give -4*s(d) + 5*z(d).
-82*d - 1
Let x(b) = 3*b**2 + b - 6. Let n(v) = -v**2 - 1. Give 5*n(o) - x(o).
-8*o**2 - o + 1
Let c(f) = 0 + 2 + 2 + 10*f + 1. Let p(g) = g + 1. Determine c(m) - 3*p(m).
7*m + 2
Let j(t) = t**2 - 13*t - 8. Let d be j(13). Let f(g) = 3*g**3 + 4*g**2 + 4*g. Let m(u) = 5*u**3 + 6*u**2 + 6*u. Let h be 6/3 + -3 + 6. What is d*f(z) + h*m(z)?
z**3 - 2*z**2 - 2*z
Let v(j) = -9312*j + 64. Let k(s) = 716*s - 5. Give 64*k(b) + 5*v(b).
-736*b
Let h(p) = p + 2. Let x(g) = -g**2 - 6*g - 31. Give -5*h(l) - x(l).
l**2 + l + 21
Let q(k) = -49*k**2 + 13*k - 9. Let m(x) = -16*x**2 + 4*x - 3. What is -7*m(u) + 2*q(u)?
14*u**2 - 2*u + 3
Let i(b) = 3*b - 2. Let z(f) = -2*f + 1. Suppose r + 11 = 4*p + 4, 0 = 5*r + 4*p - 61. Suppose -r*j - 148 = -58. Calculate j*z(w) - 6*i(w).
2*w + 2
Let x(j) = -20*j + 2. Let c(f) = 2*f. Calculate -6*c(g) - x(g).
8*g - 2
Let i(l) = 2*l - 250. Let r(h) = h - 84. Give -3*i(s) + 8*r(s).
2*s + 78
Let y = -3 - -4. Let n(o) = -19*o + 11. Let r(l) = 16*l - 10. Let j(x) = 4*n(x) + 5*r(x). Let q(f) = -f + 1. Determine y*j(k) + 5*q(k).
-k - 1
Let t(l) = l. Let b(r) = 4*r**2 + 61*r + 16. Let o be b(-15). Let j(q) = -2*q - 2. Give o*j(s) + 3*t(s).
s - 2
Let f(o) = 13*o + 5. Let g(w) be the first derivative of -3*w**2/2 - w + 17. Calculate 2*f(c) + 9*g(c).
-c + 1
Let j(k) = 1. Let z be 8/52 - (-284)/13. Let g = z - 13. Let s(v) = -v + 11. Let y(o) = 3. Let i(n) = g*y(n) - 2*s(n). What is -i(w) + 5*j(w)?
-2*w
Let y(c) = 4*c. Let x(q) = 2*q. Let n = 223 + -219. Determine n*y(g) - 9*x(g).
-2*g
Let b(i) = 11*i**2 + 7*i - 2. Let u be (90/(-150))/((-2)/20*2). Let l(x) = 5*x**2 + 3*x - 1. Give u*b(c) - 7*l(c).
-2*c**2 + 1
Let s(z) = 14 - 9 - 4*z**2 - 16. Let i(d) be the third derivative of -d**5/10 - 17*d**3/6 - 4*d**2 - 1. Determine -5*i(q) + 8*s(q).
-2*q**2 - 3
Let o(y) = y**3 - y**2 - y. Let c be (-5)/15*30/(-2). Let n(j) = -c*j**2 + j**2 + 3*j**3 + 13*j + 9*j - 26*j. Determine n(l) - 5*o(l).
-2*l**3 + l**2 + l
Let s(y) = -91*y**2 - 77. Let k(m) = -13*m**2 - 12*m. Let w(o) = 14*o**2 + 14*o - 1. Let q(j) = 7*k(j) + 6*w(j). Determine 77*q(f) - 6*s(f).
7*f**2
Let k(b) = b. Let c(j) = 16*j + 1. What is -c(i) + 2*k(i)?
-14*i - 1
Let d(i) be the third derivative of 7*i**5/60 + i**3 + 38*i**2. Let a(p) = 7*p**2 + 7. Determine 6*a(q) - 7*d(q).
-7*q**2
Let r(c) = 12*c - 381. Let n(m) = -5*m + 190. Calculate 7*n(b) + 3*r(b).
b + 187
Let m(u) = 185*u**2 - 5*u + 5. Let g(l) = -186*l**2 + 4*l - 4. Calculate -5*g(z) - 4*m(z).
190*z**2
Let y(m) = m**3 + 1. Let w(v) = 30*v**3 + 21. Let u be -6 + 8*(-9 - -10). Give u*w(n) - 42*y(n).
18*n**3
Let a(g) = -25*g**2 - 24*g. Let o(h) = h**3 - h. What is a(i) + 2*o(i)?
2*i**3 - 25*i**2 - 26*i
Let y(g) = 2*g**3 + 143. Let u(z) = -3*z**3 - 144. Determine 3*u(f) + 4*y(f).
-f**3 + 140
Let c(t) = t**3 - 2*t**2 + 3. Let u(f) = f**2 + 6*f - 19. Let o be u(-8). Let a(n) be the first derivative of n**4/2 - n**3 + 5*n - 6. Give o*a(s) + 5*c(s).
-s**3 - s**2
Let p(v) = 4*v**3 + 5*v**2 - 5*v - 3. Let m(h) be the second derivative of -3*h**5/20 - h**4/3 + 2*h**3/3 + h**2 - 56*h. Determine 3*m(c) + 2*p(c).
-c**3 - 2*c**2 + 2*c
Let b(c) = -36*c**3 + 69*c**2 - 68*c**2 - 7 - 6*c + 44*c**3. Let u(o) = -o**3 + o + 1. Give b(l) + 6*u(l).
2*l**3 + l**2 - 1
Let d(j) = -5*j**2 - 3*j + 1. Let s(b) = 3*b**2 + 2*b + 1. Calculate -4*d(n) - 7*s(n).
-n**2 - 2*n - 11
Let c be (36/16)/((-60)/160). Let s(i) = i**3 - i**2 - 6*i. Let y(a) = -a**3 + 2*a**2 + 11*a. Give c*y(b) - 11*s(b).
-5*b**3 - b**2
Let f(r) = 133*r + 6. Let n(i) = 14097*i + 635. Calculate -635*f(z) + 6*n(z).
127*z
Let t(h) = h**2 - 4*h + 1. Let d(u) = 897*u**2 + 16*u - 4. Give -d(s) - 4*t(s).
-901*s**2
Let f(w) = -w**3 + 5*w**3 - 9*w + 7*w**2 - w + 2 + 4. Let b(c) = -3*c**3 - 6*c**2 + 9*c - 5. Give 6*b(i) + 5*f(i).
2*i**3 - i**2 + 4*i
Let k(v) = -3*v**2 + 2*v + 11. Let o(d) = 8*d**2 - 6*d - 31. Calculate -17*k(c) - 6*o(c).
3*c**2 + 2*c - 1
Let b(l) = 29*l - 118. Let p(x) = -18*x + 79. What is 5*b(i) + 8*p(i)?
i + 42
Let n(w) = 2 + 8 - 1 - 8. Let z(i) = i + 4. Let k be 16/(-6)*(-78)/52. What is k*n(x) - z(x)?
-x
Let p(d) = -39*d**2 + 5. Let a(j) = -527*j**2 + 68. Let m be (-4)/(-6) - (-117)/27. Calculate m*a(f) - 68*p(f).
17*f**2
Let k(a) = 5*a. Let r(x) = -149*x. Calculate -6*k(s) + r(s).
-179*s
Suppose 0*j + 4 = 4*j. Let x(r) = 21*r + 1 + j - 19*r. Let n(d) = -3 + 5 - 5 + 4. Determine -3*n(s) + x(s).
2*s - 1
Let c(g) | {
"pile_set_name": "DM Mathematics"
} |
se 4, what is -12301233 + 1?
-12301232
In base 6, what is -1322 + -5500?
-11222
In base 9, what is 1868 + -215?
1653
In base 5, what is 413 + 2?
420
In base 7, what is -254 - -1056?
502
In base 14, what is 195b + -8?
1953
In base 14, what is 412db - 3?
412d8
In base 5, what is 234 - -201?
440
In base 2, what is -10001101001101101 - -1?
-10001101001101100
In base 2, what is 1110010011111 - -11?
1110010100010
In base 3, what is 1221102221120 - 2?
1221102221111
In base 9, what is -1075564 + 1?
-1075563
In base 8, what is 471071 + 5?
471076
In base 7, what is 353 + -14401?
-14015
In base 9, what is -2815 + -10?
-2825
In base 15, what is 1a1 - -2?
1a3
In base 2, what is -1010100010111010100 - -10?
-1010100010111010010
In base 11, what is -30a6 - -364?
-2842
In base 6, what is 30 + -1415?
-1345
In base 2, what is -1111 + 11011100101?
11011010110
In base 2, what is 1001101101 + 1100000?
1011001101
In base 7, what is 141040 - -2?
141042
In base 9, what is -1213 + 200?
-1013
In base 8, what is -117 + -3674?
-4013
In base 2, what is 1010000111111111101 - -10?
1010000111111111111
In base 15, what is cc50b - -3?
cc50e
In base 8, what is -203 + 1114?
711
In base 2, what is 101 - -10001001100101010?
10001001100101111
In base 9, what is -48158 - 217?
-48376
In base 10, what is -679 - 67?
-746
In base 12, what is -2 - 14a28?
-14a2a
In base 4, what is 22 - 133032000?
-133031312
In base 6, what is 340532 - -3?
340535
In base 12, what is -13 + 107a3a?
107a27
In base 6, what is 545 + 30?
1015
In base 2, what is -10100110110101110 + -11?
-10100110110110001
In base 12, what is 0 - 97737?
-97737
In base 9, what is -110 + -135?
-245
In base 3, what is 1220012 - 10112?
1202200
In base 14, what is -4 - -40762?
4075c
In base 13, what is -23468 + -2?
-2346a
In base 2, what is 101011 - 10000010011?
-1111101000
In base 5, what is 110 + 12130?
12240
In base 8, what is 43 - -11023?
11066
In base 9, what is 5433 + 147?
5581
In base 4, what is 1032 - -30131?
31223
In base 6, what is -1231 - -21111?
15440
In base 4, what is 1000023 + 3?
1000032
In base 7, what is 5250 + -26?
5221
In base 7, what is -12551 - 154?
-13035
In base 8, what is -1 - 177102?
-177103
In base 12, what is -5026 + -34?
-505a
In base 12, what is -2 - -128979?
128977
In base 11, what is 341 - 89?
263
In base 9, what is 1371 - -13?
1384
In base 3, what is -111022111012 - 2?
-111022111021
In base 13, what is -3 - -414?
411
In base 4, what is -3 - -331020?
331011
In base 14, what is 4 + 30917?
3091b
In base 13, what is 29352 + -13?
2933c
In base 3, what is 20201222011100 + -2?
20201222011021
In base 14, what is -3 + aa4?
aa1
In base 7, what is -311644 - -6?
-311635
In base 2, what is -1 + 111001011000101010?
111001011000101001
In base 5, what is -120 - 131?
-301
In base 11, what is 0 + 73330?
73330
In base 6, what is 223 + 230500?
231123
In base 7, what is 10 - 2166214?
-2166204
In base 16, what is -2 - -2b87?
2b85
In base 11, what is -43 + 41?
-2
In base 5, what is -3 + 24342110?
24342102
In base 13, what is -bc5 + 227?
-99b
In base 6, what is -31 - 135?
-210
In base 13, what is 2a36a8 - 1?
2a36a7
In base 7, what is -1 + -241511?
-241512
In base 11, what is -211524 + -5?
-211529
In base 11, what is 458 + -4a0?
-43
In base 15, what is 7 + -cee0?
-ced8
In base 4, what is 1010101 - 10?
1010031
In base 7, what is 1 + -110230?
-110226
In base 13, what is 91165 - -1?
91166
In base 8, what is 4 + -213463?
-213457
In base 7, what is 12143 - -16?
12162
In base 14, what is -45 - 43?
-88
In base 3, what is 20 - 12121200?
-12121110
In base 9, what is -2 - 11754?
-11756
In base 12, what is -4a520 + 0?
-4a520
In base 9, what is 125 + -1251?
-1125
In base 10, what is 15030 - 42?
14988
In base 4, what is -20322302 + -223?
-20323131
In base 15, what is 6 - -14eb?
1502
In base 14, what is 799 - -a8?
863
In base 2, what is 101 - 100111010111011101001?
-100111010111011100100
In base 9, what is -4412 + 5?
-4406
In base 12, what is -1489 - 356?
-1823
In base 5, what is 131332 + -3?
131324
In base 7, what is -11305424 - 3?
-11305430
In base 3, what is 2121122112 + 101?
2121122220
In base 11, what is 7 - -21521?
21528
In base 11, what is -1547 + 678?
-97a
In base 5, what is 3 - -11440010?
11440013
In base 2, what is -101011 - 11001111?
-11111010
In base 13, what is -144 - -69b?
557
In base 12, what is -10 - -352?
342
In base 12, what is -3758b - -49?
-37542
In base 9, what is -260 - 1641?
-2011
In base 12, what is -191 + -789?
-95a
In base 16, what is eeb17 + -2?
eeb15
In base 5, what is 30010 + -201?
24304
In base 14, what is 49 - 179cc?
-17983
In base 11, what is -847 - 19?
-865
In base 15, what is e13b - 0?
e13b
In base 4, what is 111211031 - 10?
111211021
In base 13, what is -4 + 2b82c?
2b828
In base 11, what is 8619 + -a?
860a
In base 10, what is 41 - 24686?
-24645
In base 8, what is 22 - -150432?
150454
In base 13, what is 325 + 12?
337
In base 3, what is -1021211110122 + 21?
-1021211110101
In base 7, what is -63 + -200231?
-200324
In base 14, what is -3828 - -2b?
-37db
In base 8, what is 10402 - -32?
10434
In base 3, what is 2100 - 10000022?
-2220222
In base 5, what is 12 - -443200?
443212
In base 3, what is 201 - -1020112021?
1020112222
In base 12, what is 1 + 9297a?
9297b
In base 2, what is 1111 + -11100?
-1101
In base 12, what is 1 + b4693?
b4694
In base 5, what is 13 + -2041242?
-2041224
In base 7, what is -3 + -5332?
-5335
In base 15, what is -5d41 - -3?
-5d3d
In base 8, what is 1470074 + 3?
1470077
In base 5, what is 1140223 + 41?
1140314
In base 14, what is -2 + 64c1?
64bd
In base 7, what is 5 + 3326600?
3326605
In base 7, what is -5 - 4353633?
-4353641
In base 7, what is -13526 - 350?
-14206
In base 12, what is 20809 + -a1?
20728
In base 11, what is 0 + -53081a?
-53081a
In base 13, what is -887 + -153a?
-20c4
In base 8, what is 21553 + 6?
21561
In base 2, what is -1100111 + -10101110?
-100010101
In base 14, what is 5db - 4c3?
118
In base 12, what is -2 - -3166a7?
3166a5
In base 11, what is 37 - 295?
-259
In base 16, what is -12dc + 13?
-12c9
In base 3, what is 112200122 + 11?
112200210
In base 8, what is -603 - -14033?
13230
In base 11, what is 734 + 6?
73a
In base 7, what is 5 + 24052?
24060
In base 15, what is 1 + 27ba7?
27ba8
In base 2, what is -11 + -10010010111100011?
-10010010111100110
In base 7, what is 5046 + -226?
4520
In base 12, what is 4285a + 4?
42862
In base 8, what is -133 + -13045?
-13200
In base 2, what is -100011001110100001 - -100?
-100011001110011101
In base 16, what is 2aa - -43c?
6e6
In base 11, what is -57 - 2156?
-2202
In base 9, what is 15620 + -44?
15565
In base 5, what is -10113 - 24404?
-40022
In base 11, what is 3 + 89a65?
89a68
In base 10, what is 2 - 115126?
-115124
In base 5, what is -131423 + 1420?
-130003
In base 7, what is -466460 + 3?
-466454
In base 5, what is 112434 + -2432?
110002
In base 8, what is 14600 + -26?
14552
In base 11, what is -8 + -63538?
-63545
In base 12, what is -12 + -1912?
-1924
In base 7, what is -12 + -23316?
-23331
In base 15, what is 0 - -10771?
10771
In base 14, what is -2 + 29608?
29606
In base 13, what is -4 - 15100?
-15104
In base 16, what is cd1a - 3?
cd17
In base 6, what is -20423 - -3?
-20420
In base 3, what is 21012100 + 20110?
21102210
In base 2, what is -1100100011001 - 1001111001?
-1101110010010
In base 13, what is -6678 - 0?
-6678
In base 6, what is -13140451 - 5?
-13140500
In base 9, what is 5 + 24474?
24480
In base 9, what is 3 - -16602?
16605
In base 2, what is 101000000010011101110 - 11?
101000000010011101011
In base 3, what is 112211 + -1011020?
-121102
In base 8, what is -2603 + 145?
-2436
In base 4, what is -223 + -2112231?
-2113120
In base 8, what is -775445 - 5?
-775452
In base 8, what is -3 + 1212673?
1212670
In base 7, what is 50 + -14463?
-14413
In base 11, what is 309a + -2?
3098
In base 2, what is 10011100 - 11011111101?
-11001100001
In base 14, what is 506 - d?
4d7
In base 13, what is -2 + -4cbc1?
-4cbc3
In base 2, what is -10111 + 1010000000100110?
1010000000001111
In base 5, what is -23001020 - -1?
-23001014
In base 13, what is -88 - 1aa?
-265
In base 9, what is 0 - 21750?
-21750
In base 7, what is 4 + 1022333?
1022340
In base 8, what is 22 - 1164?
-1142
In base 9, what is 71 + 330?
411
In base 9, what is -2 - 1620628?
-162063 | {
"pile_set_name": "DM Mathematics"
} |
3*q = -944*q - 19 for y.
5
Solve -6*o - 370 = -16*o, -p + 730 = -3*o + 841 for p.
0
Solve j + 5*d + 16 + 0 + 24 = 0, 0 = 3*j + 3*d + 24 for j.
0
Solve -2*l + 58 = 6*j, 20*j + 54*j = -2*l - 12*j + 538 for l.
11
Solve 105 = -6*w - 0*w + 7*q, -3*w = 5*q - 46 - 29 for w.
0
Solve k + 4*y - 102 + 135 = 0, -5*y - 1020 = 23*k for k.
-45
Solve -z + 12 = -z - 6*g, -5*z - 4*g + 14*g - 8*g = 6 for z.
-2
Solve -5*q = -5*t + 15, t + 105 = 33200*q - 33163*q for t.
6
Solve -654*n + 11 = 2*o - 24 - 23, 2*n - 87 = -0*n - 0*n - 3*o for n.
0
Solve 12*p - 27 = -3*b, 4*b - 3*p + 32 = -27 for b.
-11
Solve -16*p + 8*p + 12 - 35 = 8*p - 3*j, p = -5*j - 100 for p.
-5
Solve 13*t + 37 + 15 = -28539*m + 28543*m, 0 = -158*t - 5*m + 65 for t.
0
Solve 17*u + 208*u + 3615 = 3*z, 2*z + 14 - 85 = 7*u + 49 + 2 for z.
5
Solve -60 = 3*m + 2*m + 2*t - 38, -2*m - 37*t - 407 = 0 for m.
0
Solve -3*z - 8317*l - 33 = -8316*l, -5*z + 3*l + 2*l + 65 = 0 for z.
-5
Solve -8*t - 4*g - 72 = 4*t, -109*g + 47*g + 19 = -4*t - 65*g for t.
-7
Solve 3380*k - 3377*k + c = -107, -357 = 3*c for k.
4
Solve 38*x + 53 = 5*v - 13, -x + 0*v = v + 4 for x.
-2
Solve -4*h = -5*w - 9, -53488*w + 53487*w - 17 = 3*h for w.
-5
Solve -3*t + 2*q = 10, 882*t = 883*t - 10*q + 50 for t.
0
Solve -6*g - 217*f - 38 = -213*f, 0 = -5*g + 4*f + 27 for g.
-1
Solve z - 2*b = 3*z - 16, -3*z + 0*z = 2*z - b - 52 for z.
10
Solve 20*t = -t + 11*q + 1491, 3*t + 8*q = 11*q + 213 for t.
71
Solve 248*k + 915*z = 253*k - 4610, -2*z - 38 = -4*k for k.
7
Solve -3*h + 3*v + 0 = -33, 5*h + 30967970 = 4*v + 30968016 for h.
2
Solve 65*f - 5*a + 3*a = -a + 393, 3*f + 103 - 127 = 2*a for f.
6
Solve 29967*q - 98 = -2*p + 29981*q, 2*p - 4*q - 48 = 0 for p.
14
Solve 5*y = 105*o - 145*o - 1740, o + 23 = 5*y for y.
-4
Solve 6*w - v + 54 = -0*v + v + 96, w + 5*v = -25 for w.
5
Solve 2*s - 2*g + 0 - 8 = 0, 5*s - 124*g = -123*g - 9 + 33 for s.
5
Solve 0 = 2950*c - 2955*c + 15 + 95, 2*c - 36 = -4*n for n.
-2
Solve 5*m = 198*g - 394*g + 200*g - 141, -g + m = -36 for g.
39
Solve -3*t = x + 2*t + 17, 3*x = -21*t - 27*t - 51 for x.
-17
Solve d = 5*d - r + 29 + 12, 0 = 4*r - 20 for d.
-9
Solve -9*d + 1121 - 1393 = 4*y, -8*y - 4*y - 256 = -8*y + 5*d for y.
-59
Solve 4*g - 87 = -3*d, -143*g - 395 = 4*d - 162*g for d.
1
Solve 3*p = -130877*q + 130875*q - 16, 5*p = 23*q + 105 for q.
-5
Solve 28*a - 20*a - 29 = -4*x + 13*a, -82 = -62*x + 4*a for x.
1
Solve -407 = -6*q - k, 186 = 3*q - 19233*k + 19230*k for q.
67
Solve -4*h - 45 + 66 = q, q - 3 = 2*h for h.
3
Solve 2*z - 4*y - 119 = 3*z, 63 = -2*y + 5 for z.
-3
Solve -2*i + 352 = 5*c + 307, -2*c - 3*i = -29 for c.
7
Solve -8*d - 1 = -9*d + a + 13, 5*d = -4*a - 101 for d.
-5
Solve 302 = 11*v + r, 4*v - 97 = -9*r - 12*r + 16*r + 36 for v.
27
Solve -3*f + 28*d = f + 16*d - 92, -f = 3*d + 19 for f.
2
Solve -z - 4*k = 30, -1235*z + 791*z + 2*k + 6 = -440*z for z.
-2
Solve q + 5*s - 162 = -3*q, -89*s + 45 = -5*q - 87*s for q.
3
Solve -5*r + 319*p - 324*p = 70, 5*p = 3*r - 110 for r.
5
Solve 4 = -j + 10*a - 25 - 78, -3*j - 3*a = -42 for j.
3
Solve -4 = -a, -r - 6068*a + 6 = -6067*a for r.
2
Solve 3*b - 3 = -1543*r + 1538*r, -10*b - 31 = 3*r for r.
3
Solve -21 - 2153 + 576 = 123*j - w, 2*w - 63 = 5*j for j.
-13
Solve -3 = 5*p - 21*s + 22*s, -4*s - 90 = 98*p for p.
-1
Solve -35752*y + 35755*y + 8*q - 19 = 0, 2*y + 3*q - 1 = 0 for y.
-7
Solve 2*w + 14*x = 18*x + 8*x + 68, -11*w - x + 48 = -192 for w.
22
Solve -22*j = 4*c + 16, 76*c = 153*c - 75*c - 3*j + 64 for c.
-26
Solve -4*u - 12081 = -2*p - 12073, 197 = -52*p + 23*u for p.
-6
Solve 0 = 6*m + 5*i - 2 + 11 - 2, 252 = 51*m - 47*m - 48*i for m.
3
Solve v = 2*j - 7, 6 = 541*v - 559*v - 4*j for v.
-1
Solve -81*f = -85*f + 5*x + 15, -3*f - 4*x = 12 for f.
0
Solve -5*h = -2*s + 175, 3*s + 125 = 206*h - 418*h + 209*h - 1 for h.
-37
Solve 10*h + 1437625*z + 325 = 1437630*z, -4*h + 5*z = 139 for h.
-31
Solve -2*x + 0*x - 4*h = 0, 11*x - 3*h = -168 + 43 for x.
-10
Solve 4*t - 18 = -2*u, -54453 = -5*t + u - 54448 for t.
2
Solve 5*j = -20318*t + 20313*t + 15, 167 = 29*t + 9*j for t.
7
Solve 0 = -13*c - 2*i - 3, 281*c - 276*c = 7*i - 40 for c.
-1
Solve 30 = -2*c - 584*q + 586*q, -2*c - 7*q + 3*q = 42 for c.
-17
Solve -2*r + 2*h = -4*r, 14*h - 49*h - 14*h = -4*r - 17*h - 51 - 129 for r.
-5
Solve 0 = 3*t - 2100*u + 2102*u - 58, 5*u + 39 = 4*t for t.
16
Solve 505651*u - 505656*u - 177 = -6*x, 0 = 4*x + 3*u - 99 for x.
27
Solve -2*g + g - 2 = -1249*l + 1244*l, -5*g - 19 + 34 + 41 = 41*l for g.
3
Solve -5*c - 51 = 4*x - 7 + 11, 22 = -c - 3*x - 11 for c.
-3
Solve p - 1548334*h + 1548333*h = -4*p + 13, -6*h - 52 = -12*p - h for p.
1
Solve -121*u + 117*u = 2*b - 244, -2*u = -10*b - 144 for u.
62
Solve 22 = -k - 3*h, -5*h + 26134 = 3*k + 26196 for k.
-19
Solve 0 = 26501*j - 26505*j - 2*y - 3*y + 255, -3*y = -3*j - 180 for j.
-5
Solve -l = -4*z + 1, -2 = -0*l - 3*l + l - 209355*z + 209359*z for l.
3
Solve 3*k + 2*f - 635 + 326 + 346 = 0, 0 = -k + 5*f + 101 for k.
1
Solve -94*i - 5*v = -89*i + 40, 0 = 11*i - 2*v - 16 for i.
0
Solve -5*t = -6*g + 2291 - 2240, -2*t - 3 = 15*g for t.
-9
Solve 3*k - 3*o + 84 = 0, -40*k - 3759*o + 50 = -3760*o for k.
2
Solve -10*y + 3*a = -0*y + 96, y - 212 = a - 123 - 114 for y.
-3
Solve -27*y + 5*t + 3159 = 3058, 8*t = y - 35 for y.
3
Solve -28*g + 2*g + 609 = -5*i, -536*g + 5 = -539*g + 5*i + 62 for g.
24
Solve -40821*k + 69 = -40829*k + 5*f, 5*f - 30 = -5*k for k.
-3
Solve g + 2*g + 4*b = -26, -4*g + g + 113 - 389 = 54*b for g.
-2
Solve p - 5*t - 65 + 125 = 0, 5*p + 157 = 10*t + 2*t for p.
-5
Solve -33 = -2*a - 2905*u + 2909*u - 13, 2*a + 7*a - 2*u - 42 = 0 for a.
4
Solve 449 = -a + 5*q + 377, -7*a - 3*q = -66 for a.
3
Solve 20*z = -4*y + 176, -11*z + 22*z + 3*y - 28 = 9*z for z.
8
Solve -u = -3*s - 13, -3*s - 31*u - 14 = -33*u + 3 for s.
-3
Solve -4*u - 13 = -1480*a + 1478*a + 23, 3*a - 54 = -280*u for a.
18
Solve h - 3*x + 356035 - 356040 = 0, 4 = 2*x for h.
11
Solve 205*p = 419*p - 214*p + 4*d - 148, 116 = 5*p + 3*d for p.
1
Solve 0 = -2*h + 4*p - 4, -5*h - 1809904*p - 26 = -1809906*p for h.
-6
Solve -4*r - 1735336 = -1735348, -s = 4*r - 8 for s.
-4
Solve -33 = 2*a + w - 28, 5*a + 3*w = -12 for a.
-3
Solve 311*j - 126 = 22*t + 313*j, -5*t - 5*j = 15 for t.
-6
Solve -3*i + 7*c = 47, 3*c - 1967 + 1964 = -3*i for i.
-4
Solve -1 = q - 2*t - 0 - 9 + 16, -301*t = q + 917 for q.
-14
Solve 4*o - 9 = -3*c, 7276 = -3*o - c + 7289 for o.
6
Solve 11*d - 18 = -2*y - 0*y, 0 = -5*d - 6*y + y for d.
2
Solve 1085523*q - 1085510*q + 197 = g, -4*q - 62 = -g for g.
2
Solve -159*k + 318*k - 6*u + 8*u = 162*k + 23, -5*k = -21*u + 3 for k.
-9
Solve -5*k + 42 = -i, 4*k + 1628*i = 813*i + 810*i + 22 for k.
8
Solve 3*b + 5*c = -29, -c + 3 = -1079*b + 1084*b for b.
2
Solve 3*o - 23 = -4*i, 590405*i = 4*o + 590401*i - 12 for o.
5
Solve -n + 2*q + q = 7, 1566498 = 4*n + 4*q + 1566542 for n.
-10
Solve 0 = 6*n - 2*n + 2*n + 42*h - 46*h - 90, 5*h = -105 for n.
1
Solve 214*h + 39 = 211*h + 2*b, 2*h + 3*b + 15 = -11 for h.
-13
Solve z - 31 + 63 = -2*i, i - 39 = 2*z for z.
-22
Solve -4*l - 25 = 2*l + c, -65 = -3*l + 5*c - 3*c - 126 + 66 for l.
-3
Solve -3*k = q - 25, -3*k + 0*k + 79*q - 68*q = 419 for k.
-4
Solve -4*m = -28*n - 25*n - 34*n + 86*n - 0*m + 5, -9*m - 21 = -3*n for n.
13
Solve 8*s - 9270 = -4*r - 265*s, -2*r + 633*s = 631*s + 74 for r.
-3
Solve -2*o - 30 = 10*t, 21 = -3*t - 673*o + 670*o for t.
-2
Solve 12 = -v + w, 3*v + 4655 - 4459 = 19*w for v.
-2
Solve -30*h + 28*h + y + 18 = 5 - 51, 0 = 5*h - y - 160 for h.
32
Solve -2*k = -4*y + 24, -1277 = -19*k - 5*y - 1419 for k.
-8
Solve 2*m - 2*o = -134, 5*m - 2532*o = -2515*o - 1127 for m.
-1
Solve -9106*v = -u - 9111*v - 33, 42 = -u - 3*u - 2*v for u.
-8
Solve -21*f + 39*f + 2*s + 6 = 20*f - 0*s, 3*s = 0 for f.
3
Solve -31*o + 34*o + 51 - 3 = -3*w, 0 = -11*w - 6*o - 196 for w.
-20
Solve -3*p + 4*p = -5*s - 21, -4*s - 6*p + 2*p - 20 = 0 for s.
-4
Solve -138 = -2*w - d - 23 - 26, -d = w - 46 for w.
43
Solve -5*u - 5 = 3*m + 2*m, -27271*m + 27267*m + 5*u + 41 = 0 for m.
4
Solve -33*c + 8*c - 5*o = -0*c + o - o + 325, 3*o + 51 = -3*c for c.
-12
Solve 4*k + a + 14 = 0, -58*a + 36*a + 24*a + 53 = -3*k for k.
5
Solve l + 4*h - 17 = 3*l + 17, 323 = -4*l + 93*h for l.
-11
Solve -46*z = 3*n + 2*n + 56, 2 = -5*z + 9*n + 15 for z.
-1
Solve | {
"pile_set_name": "DM Mathematics"
} |
s (-32 - -33)*p/1 composite?
False
Let a(s) be the second derivative of 373*s**5/10 - s**3/6 + s**2/2 + 14*s. Let z be a(1). Suppose z = 2*n - 0*n. Is n composite?
False
Let u = -37 - -55. Suppose 2*m - 11*m - u = 0. Is (-18692)/(-10) + -2 + m/10 composite?
False
Let c(s) be the second derivative of 0 + 11/12*s**4 + 7/6*s**3 + 20*s - 1/2*s**2. Is c(-6) composite?
False
Let t be (-36)/27*123/(-2). Let i = 187 - t. Let h = i - -326. Is h a composite number?
False
Let c be 2 + 0/1 + 1. Let a(q) = q**2 - 16*q + 41. Let y be a(13). Suppose y*d - 5*v - 3923 = 0, 6*d + v = c*d + 5842. Is d a composite number?
False
Let m = 272 + 66. Let x = m - 87. Is x composite?
False
Suppose 0 = 2*p + 10, 540*r - 782970 = 535*r + 5*p. Is r a prime number?
True
Suppose -29443 = -4*w + 21905. Suppose 2742 = -3*d + w. Is d prime?
False
Suppose 4*w = -11*f + 8094465, -4*f = 9*w - 5*w - 2943424. Is f prime?
False
Let b(s) = 41*s + 4. Suppose 0 = 2*a + v - 5, a = -4*v - 6 - 2. Let z be b(a). Suppose -u = 23 - z. Is u composite?
True
Let c = 1951 + -1952. Let r(g) = -365*g + 14*g + 1 - 181*g. Is r(c) a composite number?
True
Let s = 683 - 200. Let b = 862 - s. Is b a composite number?
False
Let a be (12/(-21))/(1/(-7)). Let y be 20 + (0/a - 5). Suppose 7*u = y*u - 6824. Is u a prime number?
True
Suppose -18*s + 22*s - 3*o = 40714, 3*s - 2*o - 30537 = 0. Is s a prime number?
False
Let f(t) = 8*t + 5. Let i be f(2). Let k be -10*i/6 - 0. Let m = 1542 - k. Is m composite?
True
Let w(i) = -5*i**2 - 2*i + 1. Let x be w(-1). Let l be (1 + x)/(7/(-9989)). Let f = l - 178. Is f prime?
True
Let g be ((-14)/35)/(8/110)*-2. Suppose -3*w + g = z, 1 + 2 = -3*z + 3*w. Is 849 + (-4)/(z + -3) composite?
False
Is (-1075064)/(-5) + (-162)/(-135) a prime number?
False
Let u(f) = -5*f**3 + 66*f**2 - 12*f - 8. Let q be u(13). Suppose 8159 = i - 3*w, -q*w - 804 = i - 8931. Is i prime?
True
Let n(d) = -7*d**2 - 233*d + d**2 - 21 - d**3 - d**2 + 243*d. Is n(-9) a prime number?
False
Let x(i) = i**3 - 19*i**2 + 35*i - 17. Let g be x(17). Suppose -2*n + n + 178 = g. Is n a prime number?
False
Is -301*(0 - 775) + 3*(-12)/(-9) prime?
True
Suppose -q = -3*c + 114615, 5*c + 17*q = 12*q + 191005. Suppose -3*f - 38204 = -4*n - 2*f, 0 = 4*n + 2*f - c. Is n a prime number?
True
Suppose 0 = 7*c - 3*c - 64. Suppose a = -3*a + c. Is (3 + a - 4) + 388 a composite number?
True
Let k = -161 - -57. Let w be (-2091)/(-13) + (-16)/k. Suppose -w = -2*r + 963. Is r composite?
True
Suppose -x + 5*t + 11733 = -144394, 3*x + 5*t - 468541 = 0. Is x prime?
False
Suppose 110*n - 105*n = 1615. Let s = 472 - n. Is s prime?
True
Let z(j) = -2*j - 70. Let l be z(0). Let h = l + 86. Let y = 23 - h. Is y a composite number?
False
Let n(y) = -125658*y + 7611. Is n(-4) a prime number?
False
Let l(q) = 4*q**2 + 21*q - 213. Is l(8) prime?
True
Suppose 3*r = -2*u - 1, 3*u = -5*r - 0*r. Let g(q) = -8*q**2 + 2*q**3 - 7 - 14*q + 4*q**r + 3*q**2. Is g(8) composite?
False
Let h be (((-48)/9)/8)/((-4)/18). Let c(n) be the first derivative of 46*n**2 - 9*n + 3. Is c(h) a prime number?
False
Let q(f) = f**3 - 10*f**2 + 4. Let i be q(10). Let y = -203 - -279. Suppose 0 = 2*t - 2, -y = -i*c + 2*t + 14. Is c composite?
False
Let n(h) = h**2 - 14. Let m be n(4). Suppose p + 3*p + 2358 = m*q, -5*q + 5*p = -5885. Suppose 2*k + 3*k - q = 0. Is k a prime number?
False
Let k(c) = 65*c**3 - 12*c**2 + 22*c - 8. Let t be k(9). Suppose 24*b - 389635 = -t. Is b a prime number?
True
Suppose -w + 226294 = -3*g, 436008 + 695255 = 5*w + 8*g. Is w prime?
True
Let b = -254122 + 455093. Is b a prime number?
True
Let n(w) = 112*w**2 - 46*w - 107. Is n(-17) a composite number?
True
Let b be ((-171)/(-18))/(3/(-282)). Let g(x) = 25*x**3 + 6*x**2 + 2*x - 3. Let f be g(-4). Let n = b - f. Is n a composite number?
True
Suppose 2*k + 4*y = 380254 - 34916, 4*k - 5*y - 690637 = 0. Is k a prime number?
True
Let p be 2/(-1)*(882030/(-20) - -9). Suppose -4*l + 60238 = 3*u - 27975, -3*l - p = -3*u. Is u prime?
True
Suppose 0 = -21*g + 24*g - 12. Suppose 0 = 5*a + 2*j - 7 - 3, 3*a - g*j + 20 = 0. Is (4 - -297 - 0) + a a prime number?
False
Suppose 3*v - 5 - 31 = 0. Is -1087*(8/v + (-10)/6) a prime number?
True
Let b(l) = 3*l**2 + 5*l + 26. Let d be b(-14). Let t = d - -1197. Is t composite?
False
Let p(y) = -y**2 + 4*y + 10973. Let l be p(0). Let c = -5260 + l. Is c prime?
False
Let j(h) = 62*h - 285. Let p be j(5). Suppose -p*f + 32*f = 70546. Is f prime?
False
Let d = 59234 + -24762. Suppose -t = 7*t - d. Is t prime?
False
Suppose -3*d - d = -p - 17, -5*p = -3*d. Suppose -d*b + 4 - 32 = -2*t, 3*b = 0. Is (1 - 5) + 1330/t a prime number?
False
Suppose 0 = -2902*r + 2891*r + 35761. Is r composite?
False
Let k = -294 - -336. Let z = k - -91. Is z prime?
False
Let n = 3 - -37. Suppose -2*c - y - 3*y = -n, 82 = 5*c + 4*y. Suppose c*j - 11655 = -3857. Is j prime?
True
Let y be (-1)/((-6)/36*-6). Is (-1)/y + -3 + (4047 - 6) composite?
True
Let z(f) = -f**2 + 10*f - 20. Let t be z(4). Suppose -m - 4*m - 3*g + 3350 = 0, t*m + 3*g - 2683 = 0. Is m a prime number?
False
Is (19 - (-159970)/(-20))/((-2)/4) a prime number?
True
Suppose j - 6035 - 3254 = 4*u, -18563 = -2*j + 3*u. Is j composite?
False
Suppose 52*o - 39*o - 490589 - 271120 = 0. Is o a composite number?
True
Is (18841/454)/((-2)/(-5692)) composite?
True
Let s(k) = -k**2 - 10*k + 9. Let v be 3*-1*(-2 + 26/6). Let i be s(v). Suppose 970 = 4*b + i. Is b a composite number?
True
Is 64/(-192)*(-3826506)/4*2 a prime number?
True
Suppose 0 = 5*z + 16 - 86. Suppose -4 = -9*v + z. Suppose v*u - 2*h - 2178 = -h, 2*u - 4*h - 2190 = 0. Is u prime?
True
Let r(b) be the third derivative of 5*b**4/24 - 35*b**3/6 + 16*b**2. Let p be r(7). Suppose 6*u - 59 - 55 = p. Is u a composite number?
False
Let h = 4485 - 272. Suppose -a - h = -0*a - 5*t, 2*a = -2*t - 8390. Is a*(-1)/22 + (-4)/(-22) prime?
True
Let m = 679487 - 310548. Is m a composite number?
False
Let o(r) = -r**2 - 55*r + 13. Let x = -236 + 436. Suppose 7*q + 3*q + x = 0. Is o(q) a composite number?
True
Let i(x) = -x**2 + x - 1. Let j(q) = 10*q**3 - 3*q**2 - 6*q - 8. Let t(l) = -i(l) + j(l). Suppose -5*g = 5*f - 10, -4*f - 3*g + 3 = -7. Is t(f) prime?
False
Let o(t) = 3*t**2 - 7*t - 7. Let s(q) = -q**2 - q - 1. Let j(r) = o(r) - 4*s(r). Let u = -9 + 6. Is j(u) a prime number?
False
Let j(p) = 7*p - 18. Let w be j(2). Let h be 3/18*w + 24/9. Suppose -5*t = -5*q + 22755, 4*t + 3997 - 13075 = -h*q. Is q prime?
True
Let j be (0 + -1 - 104568)*-1. Suppose 19*u - 52846 = j. Is u composite?
True
Is 15/240 + 47850138/96 prime?
True
Let b be 76/(-570) + 206/(-30). Is 2/(-4) + 874/(-4)*b prime?
False
Suppose -4*l + 75413 = f, 8*f = 5*l + 12*f - 94269. Let v = -10790 + l. Is v a composite number?
True
Suppose -15*a + 23*a = 104. Suppose 5*n + 14*w - a*w = 12546, 1 = w. Is n prime?
False
Let o = -801 + 3651. Suppose -5*h - o = -10*h. Suppose -114 + h = 8*f. Is f prime?
False
Let k be 27 + -29 - (-5 + 0). Suppose -a + 1403 + 5339 = k*i, -20216 = -3*a + i. Is a composite?
True
Let r(i) = i**2 + 15*i + 19. Let z be r(-14). Suppose -2*s = b - 4, -b = 5*s - 8 - z. Is (1 - b/(-2)) + (-2 - -547) a prime number?
False
Let l(c) = -c**3 + 27*c**2 - 10*c + 15. Suppose 1 = -b + 15. Let t = b + 9. Is l(t) a composite number?
False
Let y = -23124 + 33007. Suppose 11*k = 10335 + y. Is k a prime number?
False
Let g(j) = 3623*j**2 - 35*j - 47. Is g(6) prime?
True
Let d(j) = -j + 339. Let v = -213 + 213. Is d(v) composite?
True
Let k be 0/(2*(-3)/3). Suppose 28*j - 32*j + 496 = k. Let y = 737 - j. Is y a composite number?
False
Let r(y) = -y**2 + 2. Let q(s) = 147*s**2 + 40. Let a(x) = q(x) - 2*r(x). Is a(5) composite?
False
Let i = 8 - 4. Suppose -5*g = i*t - 32, -2*t - 9 = -t - 3*g. Suppose f - 2*k - 6469 = -2*f, t*k - 8597 = -4*f. Is f composite?
False
Let o(y) = 3482*y - 1843. Is o(40) a prime number?
True
Let u = 30784 - 9793. Suppose 3*b - u = -o + 4*o, 5*b + o - 34967 = 0. Is 5/((-20)/(-12)) + b prime?
True
Let c(k) = 6*k**2 - 2*k + 1. Let d be c(-4). Let h be (-1)/(d/(-20) - -5). Suppose 0 = h*o - 4, 4*o = 3*t - 3753 - 2402. Is t composite?
False
Let k = 202 + -234. Is -1402*(-2 + 4/(k/(-12))) a prime number?
True
Let s = -30 + 111. Suppose 77*h = s*h - 28124. Is h composite?
True
Let n(z) = -8* | {
"pile_set_name": "DM Mathematics"
} |
+ sqrt(605) + -4 - (sqrt(605) - (sqrt(605) + (sqrt(605) - sqrt(605)*3*6) + sqrt(605)) - 2*3*sqrt(605)))**2.
1320*sqrt(5) + 87148
Simplify ((2*sqrt(91)*6*4)/(sqrt(56)/(sqrt(648)*2 - sqrt(648))) + -2)**2.
-1728*sqrt(13) + 2426116
Simplify 5 + -2*(4 + (sqrt(80) + (-2 + sqrt(80) + 3)**2 + sqrt(80) - (4*(sqrt(80) - (sqrt(80) - (2*sqrt(80) - sqrt(80)))))**2)).
-32*sqrt(5) + 2395
Simplify ((4*(1 + -1*sqrt(425) + sqrt(425) + sqrt(425) + 3 + -3 + sqrt(425)) + -3)*-2)**2.
320*sqrt(17) + 108804
Simplify ((((sqrt(133) - sqrt(133)*1)*2)/(-1*sqrt(112)))**2 + 6*((sqrt(1900) - (2*sqrt(1900) - sqrt(1900)))**2 + 6*(sqrt(19) + -1)**2))*2.
-144*sqrt(19) + 1440
Simplify -6*(-1 + (4*sqrt(21)*2 + sqrt(21))/sqrt(3) + ((-6*-2*sqrt(77))/(sqrt(11) + -5*sqrt(33)/sqrt(3)))**2).
-372 - 54*sqrt(7)
Simplify 3 + (3*((sqrt(180)*-2)**2 - sqrt(180)) + (0 + sqrt(180) + sqrt(180)*2)**2 - (-1 + -3 + 0 + sqrt(3645))).
-45*sqrt(5) + 3787
Simplify 4*((4*2*sqrt(3630) - sqrt(3630))*2)/(sqrt(10) + (sqrt(10) - (sqrt(110)*-1 + sqrt(110))/sqrt(11)) + (sqrt(10) - -2*2*sqrt(10))).
88*sqrt(3)
Simplify 4 + -1*-6*-1*sqrt(2880)*4*5.
-2880*sqrt(5) + 4
Simplify 1*(sqrt(704) + sqrt(704) + 1) + (sqrt(704) - (sqrt(704) + 2)**2*4) + 1*sqrt(704) + -4 + sqrt(704) + (-2 + -1 + sqrt(704))**2 + 0.
-2122 - 136*sqrt(11)
Simplify -1*(0 + -2 + (sqrt(117) - (sqrt(117) + 1)) + 5 + ((-2 + sqrt(117))*-4 - (sqrt(117) - (1 + sqrt(117) + 4))**2)).
15 + 12*sqrt(13)
Simplify -1*(3*-2*sqrt(121)*2)/((sqrt(220)/(sqrt(5)*-2) - sqrt(44)) + sqrt(44)).
-12*sqrt(11)
Simplify ((sqrt(5760) + 1*sqrt(5760) - sqrt(5760)) + sqrt(1000) + sqrt(1000)*2 + sqrt(1000))/((sqrt(64)*2)/sqrt(8)*-5).
-16*sqrt(5)/5
Simplify ((((sqrt(243) + 1)*1*4)**2 - (1*(sqrt(243)*-1)**2 + -2)) + 1)*-5.
-18320 - 1440*sqrt(3)
Simplify sqrt(209)/(sqrt(22)/(sqrt(6)/sqrt(3)))*-1 + 4*(sqrt(2299) + (4*(-3*sqrt(2299) - sqrt(2299) - sqrt(2299)))**2).
43*sqrt(19) + 3678400
Simplify 6*6*((sqrt(648)*-4 + -3 - sqrt(648))**2 - (sqrt(648) + (sqrt(648) - (-2 + sqrt(648) + -2)))**2).
14256*sqrt(2) + 559620
Simplify (sqrt(88)/sqrt(275) + sqrt(8) + (sqrt(8) - sqrt(128))*-5)/(sqrt(576)*-2 - sqrt(108)/sqrt(3)).
-3*sqrt(2)/5
Simplify (-3*(-3 + sqrt(75) + (2*sqrt(75) - sqrt(75)) - (-3 + 0 + sqrt(75))) + (sqrt(75) + 1 + -1*sqrt(75))*-3*-4)**2*2.
-720*sqrt(3) + 1638
Simplify -2*(-3 + (-5 + 5*2*sqrt(252))*3)**2.
-454248 + 12960*sqrt(7)
Simplify (1*(-2*sqrt(153) - sqrt(153))*5)/((sqrt(81) - 4*(sqrt(81) - (sqrt(81) - (sqrt(81)*3 - sqrt(81) - sqrt(81)))))/sqrt(9))*-5 + -1.
-25*sqrt(17) - 1
Simplify 2 + sqrt(1728) + 1 - (-1 + (sqrt(3) + (sqrt(3) - -2*sqrt(75)))*-6)**2.
-15550 - 120*sqrt(3)
Simplify 2 + ((1 + ((-5*(1 + sqrt(180)))**2 - sqrt(180)))*-5 - (-4*(sqrt(180) + (sqrt(180) - (sqrt(180) + -2))) - (sqrt(180) + -1 + sqrt(180)*-3))).
-22621 - 1458*sqrt(5)
Simplify 3*(sqrt(270)/(2*sqrt(96)))/(6*(sqrt(441) + sqrt(441)*2) + sqrt(441))*-5.
-15*sqrt(5)/1064
Simplify 5 + (0 + (-3*sqrt(121)*1)/(sqrt(33)/sqrt(3)*2) + -5)**2.
15*sqrt(11) + 219/4
Simplify -4 + -1*((-4*(-2 + (sqrt(162)*2 - sqrt(162))))**2 - (-5*sqrt(162)*-1 - (-3 + (sqrt(162)*2 + sqrt(162))**2 + sqrt(162)))) + 4.
-4111 + 612*sqrt(2)
Simplify (-3 + (1*sqrt(1100) + 0 - sqrt(1100) - sqrt(1100)) + sqrt(1100) + 0 + 0 + sqrt(1100) + -2 + -1)**2 + -2.
-120*sqrt(11) + 1134
Simplify (((sqrt(144)/(sqrt(12)*-1))/sqrt(3))/(sqrt(18)/sqrt(9)*2*6))**2.
1/72
Simplify ((1*(sqrt(10) - sqrt(90)/sqrt(9)))/sqrt(5) - (sqrt(1800) - sqrt(1800)*-3))**2*-3 + 1.
-86399
Simplify (-2*sqrt(686) - sqrt(126)*3)/((sqrt(7) - sqrt(77)/(sqrt(44)/sqrt(4))) + -4*sqrt(7)*-1).
-23*sqrt(2)/4
Simplify ((sqrt(105) - (sqrt(105) - (sqrt(105) + 4*sqrt(105)*6)))/sqrt(7))/(sqrt(180) + -4*(sqrt(180) - sqrt(180)*-2) + sqrt(180)).
-5*sqrt(3)/12
Simplify -5*-4*(((sqrt(108) - -1*sqrt(108)*1) + sqrt(108))/(sqrt(144)*5)*-2)**2.
108/5
Simplify -2*(-1 + (sqrt(153)*-2 + 0 - ((-2*sqrt(153)*4)**2 + sqrt(153)) - (sqrt(153) + -1 + sqrt(153) + -5)*2)).
42*sqrt(17) + 19562
Simplify ((-2*-1*sqrt(132))/(-2*sqrt(300)) - (-1 + ((((-1 + sqrt(1584) - sqrt(1584)) + sqrt(1584))*-3)**2 - sqrt(1584))))*-4.
-4556*sqrt(11)/5 + 57056
Simplify ((3*(-4*(2 + sqrt(500) + sqrt(500) + sqrt(500) + sqrt(500)) + sqrt(500)) - -4*(sqrt(500) + -3 + 5))*2)**2.
52480*sqrt(5) + 3363024
Simplify -1 + (-5 + sqrt(133)/(sqrt(35)/sqrt(5))*-6 - (sqrt(171)/((sqrt(9) + sqrt(18)/sqrt(2))*4) + -1)).
-49*sqrt(19)/8 - 5
Simplify 3 + -2*((4*(sqrt(180)*-1 + sqrt(180) - sqrt(180)) + (sqrt(180)*2 - sqrt(180))*6)/(2*(sqrt(10) + (sqrt(70)*2 - sqrt(70))/sqrt(7))))**2.
-6
Simplify (sqrt(44) - ((3*sqrt(704) - sqrt(704)) + sqrt(704)) - sqrt(44))/(-1*sqrt(64) - sqrt(64)) - ((5*sqrt(99)*3)/(2*sqrt(36)/sqrt(4)))**2.
-2475/4 + 3*sqrt(11)/2
Simplify -1*-4*(sqrt(140) - (-5*(sqrt(140)*-1 + sqrt(140)) + sqrt(140)))/(sqrt(343) + sqrt(343)*1) + 1.
1
Simplify ((2 + sqrt(2048) + 2)**2 + ((-2*sqrt(2048) + sqrt(2048) + sqrt(2048))*-1)**2)*2 + 1.
512*sqrt(2) + 4129
Simplify ((sqrt(882)*-2*6)/(6*(sqrt(81)*3 + sqrt(81) + sqrt(9))) + 2)**2.
-56*sqrt(2)/13 + 1068/169
Simplify (3 + (sqrt(204)*2*5)/(sqrt(60)/(sqrt(10)/sqrt(2))) + 4)*-1*-1.
7 + 10*sqrt(17)
Simplify 4*(2*4*sqrt(72))/((sqrt(44)*-2)/sqrt(11) + sqrt(4)*2*-1).
-24*sqrt(2)
Simplify (1*-4*2*(sqrt(128) + (sqrt(128) - (1*(-3 + sqrt(128)) - sqrt(128))) + -5*sqrt(128)*5))**2.
-70656*sqrt(2) + 4334144
Simplify (-2 + 3 + (sqrt(110) - (sqrt(110) + 4*sqrt(110))*2)/(6*(sqrt(10) + sqrt(10)*-4 + sqrt(10))))**2 + -3.
67/16 + 3*sqrt(11)/2
Simplify ((sqrt(450)*2*4)/((sqrt(10) - sqrt(10)*1)*4 + sqrt(40)/(sqrt(4) - (2*sqrt(4) + sqrt(4)) - sqrt(4) - sqrt(4))) + 5 + -4)**2.
-192*sqrt(5) + 46081
Simplify ((0 + sqrt(833) + -2 - 2*sqrt(833)*-1)**2 + (((sqrt(119)*-6)/sqrt(7))**2 - (5*(-5 + sqrt(17)) + sqrt(17))))*6.
-540*sqrt(17) + 48828
Simplify (0 + (sqrt(684) + sqrt(684) + -3*sqrt(684) - sqrt(684) - sqrt(19)) + -1 - (sqrt(228) + sqrt(228)*-2)/(sqrt(108)*-2))**2.
79*sqrt(19)/3 + 118615/36
Simplify (sqrt(192)/sqrt(8)*-4 + (sqrt(24) - (sqrt(216)*4 - sqrt(216))))/(-4*sqrt(1452) - (sqrt(12) + (sqrt(108)*-5)/sqrt(9))).
3*sqrt(2)/10
Simplify ((sqrt(2) + sqrt(24)/(sqrt(12)*2) - (sqrt(24)*-2)/sqrt(12))**2 - sqrt(8)/(sqrt(36)*2))*6*5.
-5*sqrt(2) + 735
Simplify (((0 + (sqrt(5) - 3*sqrt(5)) - (sqrt(10)*-2)/sqrt(2)) + (-1*-1*sqrt(30) - sqrt(30))/(sqrt(960)/sqrt(10)))*-5)**2.
0
Simplify -3 + (sqrt(1216) + sqrt(1216)*1 + 3 - (sqrt(1216) - (sqrt(1216) + sqrt(1216)*2)*-4))**2 + 4 + ((-1*sqrt(1216))**2*5 - ((-1*sqrt(1216))**2 + 1)).
-528*sqrt(19) + 152009
Simplify (-3*1*sqrt(130)*2*1)/(-1*sqrt(810) + (sqrt(90)*-2)/sqrt(9)).
6*sqrt(13)/11
Simplify (6*(-1*(sqrt(77)*2 - sqrt(77)) + sqrt(77))*-3)/((3*(sqrt(528) - sqrt(528)*3))/sqrt(12)).
0
Simplify 5 + -2 + ((sqrt(126)/((sqrt(81)/sqrt(9) - sqrt(9)) + sqrt(9)))/(sqrt(128)*2))**2.
775/256
Simplify (sqrt(175) + sqrt(175) + -2 + 1)**2 - (-5 + (1*sqrt(175) + sqrt(175) - sqrt(175))) - (3*(sqrt(175) + 2 + sqrt(175))**2 + 2*sqrt(175)*-4).
-1406 - 105*sqrt(7)
Simplify ((1*(sqrt(77) + sqrt(77)*1))/(1*sqrt(7)*-1))**2 - (-6*(-2 + sqrt(1584) + sqrt(1584)) + sqrt(1584))*5.
-16 + 660*sqrt(11)
Simplify (-6*sqrt(1872)*2 + -5*(sqrt(1872) - sqrt(1872)*-1 - sqrt(1872)) - (sqrt(1872) + 4 + sqrt(1872) + -1 + (sqrt(1872) - -1*sqrt(1872)*1)))**2.
1512*sqrt(13) + 825561
Simplify ((2*(sqrt(264)*2 + sqrt(264)))/(4*(sqrt(6) - sqrt(18)/sqrt(3) - sqrt(6)) - sqrt(6)))/(-5*4*(-1*sqrt(324) + sqrt(324) - sqrt(324) - sqrt(324))).
-sqrt(11)/300
Simplify (-2*((((sqrt(833) - (1 + sqrt(833))) + sqrt(833))*-5 - sqrt(833)*2*1) + (0 + sqrt(833) + 2)*4)*-1)**2.
-2184*sqrt(17) + 30664
Simplify (-3 + -2 + sqrt(2057) + 1 + -6*2*(sqrt(2057) + 3))**2*-1.
-250497 - 9680*sqrt(17)
Simplify 2 + (sqrt(525) - (sqrt(525)*2 - sqrt(525))*-4)/(sqrt(56)/(-5*sqrt(128))) + -4.
-500*sqrt(3) - 2
Simplify -1 + 2*((-3 + (-2*sqrt(176) - sqrt(176)))*1)**2 + 3 + 1 + 0 + 0.
144*sqrt(11) + 3189
Simplify (2*((sqrt(1512) - 2*sqrt(1512)) + sqrt(1512))*-1)/(1*(sqrt(6) - (sqrt(6) - sqrt(60)/(sqrt(40)/sqrt(4))))*-4) + 5.
5
Simplify ((sqrt(77) + -4*(sqrt(77) + sqrt(77)*1))/((sqrt(11) + (sqrt(11) - sqrt(55)/sqrt(5)))*6) + 2 + sqrt(63)/sqrt(9) + sqrt(21)/(sqrt(3)*2))**2.
4*sqrt(7)/3 + 43/9
Simplify ((-2 + sqrt(325) + -2)*-6)**2 + (sqrt(52) + 1*sqrt(1872))/sqrt(4)*4.
-1412*sqrt(13) + 12276
Simplify (-1 + (-4*(sqrt(48) + (sqrt(48) - (-3 + -4 + sqrt(48)))**2) - sqrt(48 | {
"pile_set_name": "DM Mathematics"
} |
han 2?
-3.931
Subtract 88 from -0.016.
-88.016
What is 0.2 take away 147250?
-147249.8
4767 - 0.4
4766.6
What is 8.5 - 8?
0.5
Calculate 2 + 381.
383
Sum -2.7 and -226.
-228.7
What is 627 plus 0.045?
627.045
Calculate -386 - 12.126.
-398.126
Add together 6 and -25.638.
-19.638
What is -1.5 minus -0.363?
-1.137
Calculate 21.419 + -4.
17.419
Subtract 0.102 from -1162.
-1162.102
What is 517.3 + -0.031?
517.269
What is -997 minus 0?
-997
Add together -19 and -0.354.
-19.354
What is -1.05 - 19283?
-19284.05
-1.4+-6915
-6916.4
What is -0.16 minus 241.8?
-241.96
What is -5 take away 677?
-682
What is the difference between -4 and 0.11735?
4.11735
Calculate -2.4 - -0.53758.
-1.86242
What is -4435 - -0.0794?
-4434.9206
Total of -5181 and 0.5.
-5180.5
Add together 5 and 0.877.
5.877
Add -7 and 164.
157
-299+-4.22
-303.22
What is 0.1083 minus 9.5?
-9.3917
Sum -10185 and -0.18.
-10185.18
Add together -397 and 13.27.
-383.73
0.2 - 0.1547
0.0453
Work out -1 - 7.9186.
-8.9186
What is -0.003 - -141?
140.997
What is 13 plus 31015.5?
31028.5
What is 2 take away -1121?
1123
What is 377.97 + 6?
383.97
What is 36.6 plus 10996?
11032.6
Put together 813 and 27.4.
840.4
Work out 0.19169 + 2.
2.19169
Sum 0.0815081 and -5.
-4.9184919
-679+-0.034
-679.034
Put together -11607 and 237.
-11370
-0.765 - -1704
1703.235
What is -0.2076 take away 0.23?
-0.4376
-56.9 - 4
-60.9
Calculate 0.05162 - -0.06.
0.11162
Calculate -38 + -28.
-66
Sum -1521 and 8.
-1513
2273.92 - 3
2270.92
Sum -0.2 and -961012.
-961012.2
-17 + -0.9224
-17.9224
0.3 - 2243
-2242.7
3.739 - 63
-59.261
Add together -4363 and -0.5.
-4363.5
Sum -0.1 and -64.
-64.1
1 + -14.5
-13.5
Add 98 and -0.223.
97.777
Add -0.49 and 2.22.
1.73
What is 4 + -1566?
-1562
What is 4 + -41?
-37
What is -3658 plus 5?
-3653
Add together -9369 and -0.019.
-9369.019
Add together -374 and -14.7.
-388.7
3378 - 166
3212
What is the distance between 11 and 25018?
25007
What is the distance between 23169 and -19?
23188
Calculate -66 - -1.4.
-64.6
Calculate 25690 - -2.52.
25692.52
Add together -708 and -1.
-709
What is -2181 take away 0.18?
-2181.18
Calculate 5 + -0.218.
4.782
Subtract 0 from 296960.
296960
Sum 0.4075 and -0.4.
0.0075
What is -1.2309 less than 1?
2.2309
Work out 1735.5 + 8.
1743.5
-0.2+-2.842
-3.042
What is 969 less than -3.23?
-972.23
Work out 96 - -8.1.
104.1
Total of 8.15 and 0.03111.
8.18111
Work out -1357.3 + -0.3.
-1357.6
What is -45 less than -2336.3?
-2291.3
What is 526 minus -13?
539
Sum 0.3 and 646390.
646390.3
-0.08 + -0.428046
-0.508046
What is 1.008 less than 0.1?
-0.908
Subtract 116737 from 0.5.
-116736.5
0.0871 - 7
-6.9129
What is -39 take away -17?
-22
What is the distance between 58 and -35.6?
93.6
-17899 + 0.4
-17898.6
What is -0.037 take away 0.01191?
-0.04891
Subtract -0.05 from 55.65.
55.7
What is the distance between 0.00865 and 0.17?
0.16135
What is -3191 take away -0.2?
-3190.8
Put together 0.02 and 3069.
3069.02
What is the distance between -0.4 and -691.3?
690.9
Calculate -0.07 - 2875.
-2875.07
67492.7 - 0.2
67492.5
What is 129344 + 0.5?
129344.5
Calculate -8.925 - 0.04.
-8.965
Calculate 14.6251 + -38.
-23.3749
What is -0.03 plus 25?
24.97
What is -0.0276 take away 0?
-0.0276
What is -13 less than 135?
148
0.09 + -318
-317.91
What is the difference between -3 and -428261?
428258
What is -727 minus -0.00616?
-726.99384
Calculate -1.901 - -0.6.
-1.301
Work out 5 + 411.239.
416.239
What is the difference between 0.19 and -6977?
6977.19
What is 14.786 plus -1?
13.786
Work out 0.4 + 128.5.
128.9
Total of -0.18 and -1408.
-1408.18
What is -7 less than 92147?
92154
Calculate -1.68 + 2.2.
0.52
-4308 - 0.3
-4308.3
Subtract -2200 from -12.
2188
What is 21 less than 4387?
4366
Total of -2.7 and -14.2.
-16.9
What is 5 take away -2675?
2680
Add together -0.0661 and 77.
76.9339
What is 6 - 1109.39?
-1103.39
What is -186.359 minus 1.1?
-187.459
Sum -2 and -0.04548.
-2.04548
Add together -262 and -12379.
-12641
Add 2 and -419.
-417
Work out -24.83 - 376.
-400.83
Add 2277 and 0.1.
2277.1
Subtract 0.38 from -0.46.
-0.84
What is the distance between 9144 and 0.044?
9143.956
Put together 1.7 and 77.
78.7
Add 0.02742 and 336.
336.02742
Put together -2.409 and 2.
-0.409
-0.415 - -0.015
-0.4
What is 2 take away 392770?
-392768
0.032 + 95
95.032
What is 0.09 minus 33.9?
-33.81
Work out 235327 + 0.2.
235327.2
Total of 43912 and -0.237.
43911.763
Add 4 and 1935.28.
1939.28
Total of 13264169 and -5.
13264164
What is -3 minus -0.0691343?
-2.9308657
What is -6.9571 take away -0.4?
-6.5571
355921+-6
355915
-0.0269 + 37.281
37.2541
What is the distance between 2167 and -2.36?
2169.36
4264 + 7
4271
930 - -0.5
930.5
What is 2415.6 plus -0.03?
2415.57
What is -5482 - 3?
-5485
What is the distance between 312282 and 0.4?
312281.6
What is the distance between 1731 and -0.06?
1731.06
Work out -0.2645 - -0.5.
0.2355
-5894+2
-5892
Add 479 and -2482.
-2003
Subtract 0.164 from -0.1103.
-0.2743
What is the distance between -9.04 and 0.03?
9.07
Total of 4 and -11779.38.
-11775.38
Work out 0.1195 + -351.4.
-351.2805
Total of 14 and -0.151.
13.849
What is -0.5 take away 146.3?
-146.8
What is 0.02765045 - 0.1?
-0.07234955
Put together -0.042139 and -17.
-17.042139
What is 0.1278 + -0.2?
-0.0722
-62603 + -0.2
-62603.2
1114 - 1.45
1112.55
What is 1.3515 minus -0.1?
1.4515
-0.668 + 8
7.332
What is the distance between -0.024 and 13418?
13418.024
Subtract 0.12 from -14.1.
-14.22
Calculate 16 + 1132.98.
1148.98
What is -1 - 10258?
-10259
Work out 5346 + -0.3.
5345.7
What is -0.15382 take away 0.13?
-0.28382
0.014 + -9
-8.986
Calculate -9984 + -5.
-9989
Work out 1.12 - -0.0389.
1.1589
Sum -0.5 and 1.39.
0.89
What is -1994789 less than 0.4?
1994789.4
What is the distance between 8.218 and -0.1?
8.318
What is the difference between 2.35123 and -0.1?
2.45123
-58.5 - 1
-59.5
-2.6 + 64
61.4
0.1 - -377
377.1
Calculate -78 - -64.
-14
What is 12 take away -4869?
4881
What is -0.2 - 1470?
-1470.2
0.0077 - 0.3
-0.2923
Sum -48.77 and -13.4.
-62.17
Calculate -2 - -5541.88.
5539.88
What is 14194 minus 0.09?
14193.91
What is 330 + 2?
332
Add -228 and -0.0746.
-228.0746
What is 0.3 less than -66675?
-66675.3
What is -0.5 plus 3.591?
3.091
Add together 69622 and 0.4.
69622.4
What is the distance between 1.4 and 15742?
15740.6
What is 9569 - -5?
9574
What is 1 less than 343076?
343075
Subtract -0.04 from 30669.
30669.04
Work out -17259 - -0.33.
-17258.67
-0.2 + -25.484
-25.684
Sum -8 and -0.026504.
-8.026504
Total of 23763 and -17.
23746
-329+-5
-334
What is -7 take away -0.0284?
-6.9716
Add together -5531 and 0.3.
-5530.7
Total of 171.3 and 2.
173.3
What is 417 take away 0.25?
416.75
Add 285.09 and 42.
327.09
What is 0.95 minus -12?
12.95
Put together -0.05136 and -4.
-4.05136
What is -5.133 + 7?
1.867
Add -22.94 and 0.27.
-22.67
0 + -60
-60
What is -6 - -65.2391?
59.2391
What is the distance between 5 and 0.0126?
4.9874
What is 1760 less than 0.081?
-1759.919
What is the difference between -185955 and -0.1?
185954.9
What is the difference between 61803 and 0.05?
61802.95
-7544 - 3
-7547
Add together -4.5 and 11411.
11406.5
Subtract 0.09 from -15118.3.
-15118.39
What is 2 less than 3.4817?
1.4817
What is 150.35 plus 52?
202.35
Work out 66 + 0.0994.
66.0994
0.052 - 617
-616.948
Sum 0.29 and 18.1.
18.39
What is -106104 - -0.4?
-106103.6
-124+256
132
What is -0.381 take away 0.5?
-0.881
1086531 - -5
1086536
0 + -0.0028781
-0.0028781
Put together -0.01 and 0.1735.
0.1635
What is the difference between 0.522 and 4?
3.478
What is -0.2 + 5.21?
5.01
Calculate -334 + -1.394.
-335.394
Add -24 and 88.
64
Work out -0.2 + 27.15.
26.95
What is -0.098 take away 0?
-0.098
What is the difference between 18 and 0.39?
17.61
What is 2.876 minus -0.4?
3.276
What is -32098 minus -0.1?
-32097.9
73 + -0.023
72.977
Add 1 and -242.58.
-241.58
Work out 40 + 25.
65
Sum -0.3 and -586.
-586.3
Put together -174 and -0.83.
-174.83
0.3 - -320089
320089.3
What is 0.1351 minus 951?
-950.8649
What is 31234.75 take away -3?
31237.75
What is -36956 minus -5?
-36951
Put together -0.0201913 and 0.
-0.0201913
Add together -1.25 and -69.
-70.25
Work out -0.252 - 0.4.
-0.652
-5 - -222.196
217.196
Subtract 0.2 from 12.2.
12
What is -25.6 - 3606?
-3631.6
Calculate 3 - 245.
-242
What is -0.17 - 81.75?
-81.92 | {
"pile_set_name": "DM Mathematics"
} |
Calculate 2*60/76*7/35.
6/19
What is the value of (22320/630)/(1*4/2)*623/178?
62
Evaluate (216/27)/((-112)/120*10)*1/(-3).
2/7
What is the value of 85/255*(528/88)/((-16)/10)?
-5/4
Calculate (-10*(-24)/(-600)*350)/(-5).
28
Evaluate (33060/(-783))/(-95)*(-612)/4.
-68
Evaluate ((-1380)/1518)/(225/6930).
-28
What is the value of 3*((-9)/(-6))/(18/(-51))*180/45?
-51
What is the value of 42/16*(-589)/(8246000/(-14400))?
27/10
What is (5/(15/(-27)))/(11417/1631)?
-9/7
What is the value of (((-8)/4)/(4/9))/((-3197)/(-3892)*-7)?
18/23
What is (85/969)/((26130/117)/67)?
1/38
What is 1*(-13)/(-6)*24877/(-24877)?
-13/6
Calculate 315/2520*((-32)/6)/(-8)*-3.
-1/4
(-11653)/(-271)*((-55)/5)/(-11)
43
What is the value of (216/(-14))/((-74016)/21588)?
9/2
Calculate 2/((-10)/5)*2120/(-33920).
1/16
What is the value of 412/(-206)*(6/(-8))/((-3)/4)?
-2
What is ((400/(-3400))/((-6)/6*1))/4?
1/34
Evaluate ((-2808)/(-585))/((9*(-2)/8*2)/15).
-16
Evaluate 150/((-144)/234*-13)*16/(-12).
-25
Evaluate ((-11)/11)/((3888/(-36))/(-27)).
-1/4
((3366/12)/(-11))/(18*15/(-360))
34
What is (-1*6/270*-75)/((-5)/(-42))?
14
Evaluate (-12)/((-516)/(-1247))*(-4)/(-64)*4.
-29/4
Evaluate ((1*-730)/(-5))/(1172/(-586)).
-73
What is the value of ((-423)/(-2303))/((-36)/42)?
-3/14
Evaluate (7725/(-40425)*-77)/(1/(-7)).
-103
What is 31/((-15965)/1133)*(-20)/36?
11/9
Calculate -6*(-1)/(-7)*31/(-3410)*-55.
-3/7
What is 12*(48/48)/(56/(-8))?
-12/7
((-39100)/(-345)*(-36)/150)/(8/(-10))
34
Evaluate 16/66*(318/(-371))/(11/((-385)/(-10))).
-8/11
Evaluate 43092/(-2052)*236/84.
-59
Calculate ((-46656)/264)/(-54)*(-143)/(-182).
18/7
((-6)/(-4))/((-140)/((-47600)/30))
17
Calculate 12/(-9)*(36/12)/(((-40)/(-42))/(-5)).
21
Calculate (-6612)/116*7*1/7.
-57
((-6)/(246/205))/(63/21*1/6)
-10
Calculate 32*13/1872*(-312)/16.
-13/3
Calculate (1/(-4)*9)/(105/(-70))*466206/(-48789).
-43/3
Evaluate (132/(-308)*10/6)/((-995)/(-2388)).
-12/7
Calculate 9492/130515*2*3/(-36).
-2/165
What is 36/3*5/105*(-41)/(42312/84)?
-2/43
What is the value of (16/(-4))/((-18)/8*(-47)/((-12267)/(-58)))?
-8
Calculate ((-100)/175)/((-66)/11).
2/21
Calculate (2/52)/(256/140395008*267).
79
What is the value of ((-3)/(-135)*-27)/(-5*7/(-1050))?
-18
(-3672)/85*(-5)/(-6)*-2*(-4)/(-6)
48
Evaluate 56/(9240/27)*(-35)/21.
-3/11
72210/2075*(-15)/6
-87
What is 30160/1160*(-9)/(-3042)?
1/13
Calculate ((-67)/((-8710)/(-468)))/((-8)/520*-8).
-117/4
10*264/(-19360)*(-11)/36
1/24
(-2)/((-36)/(-9)*(2/5)/((-376)/(-10)))
-47
Calculate -33*(-423)/(-3619)*(-98)/(-21).
-18
Evaluate (-23)/((-13)/312*24).
23
Evaluate 240/880*60/180.
1/11
Calculate ((-1632)/1377)/16*-30*2/(-8).
-5/9
Calculate ((-75)/(-105000)*-126)/(9/12).
-3/25
What is (-1)/2*(-39)/(-377)*(-1)/3?
1/58
What is the value of (7/35)/(24/(-5400))?
-45
What is ((-5)/(-275)*15)/((-456)/(-76))?
1/22
Evaluate ((-12)/(-280))/(27/(-36)).
-2/35
-6*8/2400*30*(60/(-14))/1
18/7
(37219/17178)/(26/150)*28/5
70
Calculate 6450/247680*2/5.
1/96
Evaluate (10094/2163)/(4/(-6)).
-7
Evaluate -126*(-581)/(-14940)*(-8)/14.
14/5
What is (3/(-143)*(-16)/24)/(210/770)?
2/39
(14500/1000)/(2/8)
58
What is (65/(-13)*(-396)/300)/(((-8)/(-10))/(-4))?
-33
What is the value of (-123)/(6/((-38)/(-209)*11))?
-41
Evaluate (-32740)/(-39288)*(-1)/(10/56).
-14/3
(9*(-6)/(-10))/(858/(-1430))
-9
Calculate 18*((-4)/72)/(45/18)*(-50)/4.
5
Calculate 4*(-2)/(-32)*1/2*56/406.
1/58
Evaluate 2748/(-110607)*-1*7/(-2).
-2/23
(48/(-192))/(171/1197)
-7/4
(105/140*-2)/(((-10)/5)/(-2*6))
-9
Evaluate 282/(-14993)*22*40/(-48).
10/29
What is the value of 132/(-1200)*50/(-330)?
1/60
What is the value of (5*264/(-1155))/4*-7*21?
42
What is ((-125)/(-250)*-4)/((8/82)/2)?
-41
What is 399/(-1862)*5/((-45)/(-6))?
-1/7
What is (546/84)/((-1)/(-1))*(-30)/3?
-65
((-12)/108*(-36)/(-42))/(9/405*-1)
30/7
Evaluate (1/(20/72))/(((-8778)/(-350))/19).
30/11
Evaluate 237/316*((-16)/84)/(72/420).
-5/6
What is ((-138)/27)/((17864/203)/(-88))?
46/9
9/16*21/((-441)/14)
-3/8
((-5*(-72)/765)/(126/(-9)))/((-136)/3332)
14/17
(((-6)/(-7))/((-510)/476))/((2*-2)/(-80))
-16
What is (((-1748)/(-855))/23)/((-4)/(-6))?
2/15
What is the value of ((-11)/(220/(-68)))/((24/(-140))/((-21)/147))?
17/6
(-25)/(17*120/680)
-25/3
What is (24/832)/(14/(-56))?
-3/26
What is the value of (-5)/(50/10)*15*-1*54/81?
10
What is the value of ((-19096)/55242)/((-3)/27)?
28/9
What is the value of (6/(-5))/((7804/(-27314))/(460/21))?
92
What is the value of (1674/1953*(-7)/16)/(2/(-336))?
63
((-12252)/27567)/((-7)/18)
8/7
Calculate (-684)/(-18)*((-80)/720)/((-10)/(-45)).
-19
What is ((-25)/1125*9)/((-10)/600)?
12
Calculate (((-891)/(-1386))/((-18)/(-7)))/((-7)/(-60)).
15/7
What is (45/15)/((((-800)/(-40))/60)/((-67)/(-9)))?
67
What is ((32913/(-27))/23*-2*3/(-6))/(-1)?
53
Calculate (((-6860)/14)/(-10))/(-24*26/156).
-49/4
Evaluate 322/((-75670)/17625)*(-2)/(-14).
-75/7
What is (-4)/(-5)*337270/(-4652)?
-58
Evaluate ((-6)/(-10))/(((-428)/(-642))/((-1420)/(-18)))*1.
71
Calculate -3*63/2457*(-30)/(-5).
-6/13
What is the value of (-2)/(4/14)*151/(101472/(-4224))?
44
(10/258)/((-450)/82620*-51)
6/43
What is the value of (1*-51)/(-1)*(-531)/48321*13*1?
-51/7
What is the value of ((-8)/6)/(169/(6929/574))?
-2/21
((-2)/(-1))/1*9*(-18)/9072*8
-2/7
What is (2/7)/((1674/3906)/(5/(-165)))?
-2/99
What is the value of (((-5180)/210)/(-74))/((-1)/50*2)?
-25/3
What is ((-60)/(-150))/(((-25284)/3920)/((-3)/(-4)))?
-2/43
What is the value of -3*((-77)/((-7392)/(-128)))/(-30*1)?
-2/15
Evaluate (3/5)/((-41)/5248*16).
-24/5
What is the value of ((6/(1*-2))/((-36)/((-5112)/142)))/1?
-3
What is the value of 28/(784/126)*19/((-114)/8)?
-6
(-4)/(((-1)/50*-2)/((-7)/((-2030)/29)))
-10
What is the value of ((36/27)/(72/324))/(12/(-3))?
-3/2
(((-280)/(-560))/(3*(-2)/(-12)))/(12/(-4))
-1/3
What is the value of ((-60)/189*805/(-1725))/(6/162)?
4
(((-137708)/1791)/173)/((-1)/18)
8
Calculate ((-285)/45)/(-19)*(-30)/20*-86.
43
(-5)/((((-3)/2)/(-3))/(188/(-8272)*-308))
-70
(-7)/3*-17*((-5815)/24423)/((-5)/(-3))
-17/3
Evaluate (-98*27/504)/(21/(-216)).
54
Evaluate ((-270)/1110)/((4/(-16))/((-7)/42)).
-6/37
What is ((-32)/288)/(23/10143)?
-49
What is the value of 76/((-608)/56)*2/(-14)?
1
What is (8/(-40))/(((-322)/(-14))/10925)?
-95
(43/22532)/((-4*3/(-120))/(8/10))
2/131
What is (-4)/(-4)*((-133)/28)/19*(-416)/39?
8/3
Evaluate 18*((-2784)/9048)/((-36)/338).
52
((-8)/(-6))/((-1)/1)*(-2172)/5792*-4
-2
What is the value of (((-130)/10)/1)/((-31)/93)?
39
What is the value of (4*1)/(1336/13694)?
41
What is (1620/243)/(704/(-33))?
-5/16
49/(-63)*66/(-77)*210/4
35
What is 969/76*(-4)/9*12?
-68
(-8)/9*(60/432)/(10/6)
-2/27
What is the value of -15*(31970/623415)/(((-8)/18)/(-2)*3)?
-15/13
What is the value of ((-468)/(-156))/(1*3/13)?
13
What is (5/(560/108))/((-1)/1*36/(-384))?
72/7
What is ((228/(-30))/(22/660))/(18/9*1)?
-114
(-9)/(-15)*((-550)/84)/((-1350)/945)
11/4
Evaluate (189/((-94122)/(-1328)))/(((-2)/9)/(3/(-423))).
4/47
What is ((22/231)/(-2*(-3)/36))/(6/(-2))?
-4/21
(1/(-2))/(-154*19/(-1862))*(-4)/21
2/33
What is ((-4)/(-3))/(-1)*(-462)/(-11396)?
-2/37
What is 1008/1764*(-42)/64?
-3/8
Calculate (39/(-6))/((-312)/1056).
22
What is (-2)/(((-10)/15*122/244)/(2/1014))?
2/169
Evaluate ((-384)/160)/((-6102)/(-4520)).
-16/9
Evaluate 98/(-4)*2076/1038.
-49
What is ((-66)/(28512/(-54)))/((-38)/(-16))?
1/19
Evaluate 54*4/126*3*(-7)/21.
-12/7
Evaluate (-1*((-4)/(-10))/((-321)/1070))/(4/(-10)).
-10/3
Evaluate 39/35178*-33*2.
-3/41
What is (112/3920)/((((-16)/(-48))/((-1)/(-3)))/(-2))?
-2/35
((-5274)/586)/((-621)/(-9))
-3/23
((-48)/108)/(6/9)
-2/3
Evaluate (14/84)/(520/(-208)).
-1/15
What is 42/(-12)*3/9*11/((-484)/(-24))?
-7/11
((113/11526)/(11/(-132)))/(24/(-17))
1/12
What is the value of 656/(-20746)*23/(-12)?
2/33
Calculate (52/((-32)/8))/(481/(-481)).
13
Calculate -3*(-4)/6*(-5147)/(-499259).
2/97
-8*(509/5090)/((-1)/(-15))
-12
(-9909)/367*6/18*1
-9
Evaluate (-1781)/(-17810)*(-2*4/46)/(-1).
2/115
(931/(-8778)*(-2)/28)/(3/(-6))
-1/66
(-56)/2772*(342/16)/(-19)*-6*1
-3/22
What is (127/14859*-26)/((-84)/27)?
1/14
What is the value of ((-5)/110)/((-5775)/6050)?
1/21
Calculate ((-4)/(-120))/(((-84)/14)/(-6)*(-22)/44).
-1/15
Calculate (-290)/5*(-37170)/36540.
59
What is (-71)/((-2059)/174)*(56/(-3))/(-8)?
14
What is (-284)/((-143)/(2288/64 | {
"pile_set_name": "DM Mathematics"
} |
t**(2731/990)
Simplify (((y*y**12*y)/(y*y/y**11))/(y/(y*(y**1/y)/y))**(-1/26))**34 assuming y is positive.
y**(10183/13)
Simplify n**(-2/7)*(n/n**(-5)*n)/n*(((n*n/(n**0*n)*n*n)/n)/n)/n**2*((n/(n/n**(-1)*n))/((n*n/((((n/n**(3/7)*n)/n)/n)/n)*n)/n))**30 assuming n is positive.
n**(-1107/7)
Simplify (((s**(-1/3)/(s*s**(-1/6)*s))**(-13/2))**40)**40 assuming s is positive.
s**(67600/3)
Simplify ((f/f**(1/2)*f**(-9/7)/f*f)/(f**(-2/13)*f**12))**(5/2) assuming f is positive.
f**(-11495/364)
Simplify (z**(1/4)*z)**(-19)*z**(3/8)/z**(2/19)*((z**(-2/7))**19)**(3/17) assuming z is positive.
z**(-442039/18088)
Simplify ((c/(c/(c**42/c)*c))/(c/c**(-6)))/((c**(-47)/c)/c**(1/9)) assuming c is positive.
c**(730/9)
Simplify (((t/t**11)/t)/(t*t/t**6)*(t/t**(3/4))/(t**(-31)*t))**28 assuming t is positive.
t**651
Simplify ((s**(2/21))**8/(s**(1/4)*s/(s*(s/s**(1/14))/s)))**35 assuming s is positive.
s**(185/12)
Simplify ((g/((g*g**(2/29)*g)/g)*g/(g**(-5)/g*g*g))/(g**(-2/7)*g)**(-4/11))/((g/(g*(g*g**1)/g*g))**(-2/3)*g/g**(2/3)*g**(-3/4)*g) assuming g is positive.
g**(87733/26796)
Simplify ((((l/(l/(l**(-11)/l*l)))/l**(2/35))/((l/l**8)/l**4))**(-40))**(-7/3) assuming l is positive.
l**(-16/3)
Simplify ((p*p**(4/3))/(p**0/p*p))**44*(p*p**1)**29*p**(-7/4)/(p*p**0) assuming p is positive.
p**(1895/12)
Simplify ((u**(1/18)*u*u)/(u*u**(-5/9)))/(u/(u/(u/(u*u**(-17))))*u**(4/15)) assuming u is positive.
u**(-1409/90)
Simplify (w**(-15/4)*w*w**(-5/14)/w*w)/(w/(w/w**(7/9)*w))**(-8) assuming w is positive.
w**(-1231/252)
Simplify (g**(-5)*(g*g/(g*g/g**(-3)*g)*g)/g)**17/((g**(-1)/g)/g*g*g/(g**(2/11)*g)*((g*(g/(g*(g/(g*g**(-1))*g)/g*g))/g*g)/g)**(-2)) assuming g is positive.
g**(-1703/11)
Simplify ((i*(i**(-9)*i)/i)/i**4)**(-10/3)*(i**2)**4*i**9*i*i**0 assuming i is positive.
i**58
Simplify ((w**(2/3)/w**(-5))/(w**1)**(-13))/((((w**(1/4)/w)/w)/w)**(1/31))**14 assuming w is positive.
w**(3703/186)
Simplify ((w**(-1))**(-42)*(w*w**1)**(11/4))/((w/((w*w*(w*w*w**(-4)*w)/w*w)/w*w))/w*(w/(w/w**5))/w*w)**(-18) assuming w is positive.
w**(239/2)
Simplify (g**(2/7))**(30/11)/(g*g*(g**(-3/7)*g)/g*g*g*g*g/g**(1/4))*(g**2/(g*g**(-5/2)/g))**(-3/34) assuming g is positive.
g**(-12931/2618)
Simplify (((i**(4/3)/i)/(i**(-2/13)/i))/(i*i/((i/i**0)/i)*i*i/i**(-5)))/(i**(-7)/i**(3/4))**(-44) assuming i is positive.
i**(-13592/39)
Simplify ((l**(-1))**(-45)*(l**(1/3))**(4/9))/((l/l**(-1/3))**48)**37 assuming l is positive.
l**(-62717/27)
Simplify (m/(m/(m/m**1)))**(-34)*m*m*m**(2/23)*m**(-7)*m*(m**6*m*m*m**(-3/8))/(m**(-3)/(m/m**(2/5))) assuming m is positive.
m**(6727/920)
Simplify ((p/p**(-5))/((((p*p/(p**(3/4)*p)*p*p)/p)/p)/p))**(-23)*(p**(-1/5)/(p/((p*p*p**(-2/27)*p)/p)))/(p/(p*p**1*p))**(2/5) assuming p is positive.
p**(-83011/540)
Simplify (((l**(8/5)/l**(-12/5))/((l*l*l*l**(-5/6)*l)/(l/(l*l**(1/15)))))**23)**(23/2) assuming l is positive.
l**(12167/60)
Simplify ((w/(w/w**13))**(3/17)*w**28*(w*w**(3/2)/w)/w)**(-18/7) assuming w is positive.
w**(-9423/119)
Simplify ((n/n**11)**(3/5)*(n*n**26*n)/(n/(n**25/n)))**(34/3) assuming n is positive.
n**510
Simplify (v*v/(v**(-2/9)*v*v))**(-1/28)/(v**0/(v*v*(v*v**(2/3)*v)/v))*(v**(-2/21)*v**4)**(24/7) assuming v is positive.
v**(15035/882)
Simplify (c/(c/(((c**(-1/3)/c)/c)/c*c)))**21*c/(c/(c**2/c))*c*c**(-8/5)*(c*c**(-1)/c*c*c**1/c)/((c/(c**(-3/2)/c)*c)/(c*c/(c**(-6)/c))) assuming c is positive.
c**(-441/10)
Simplify ((r/(r/((r*r/r**0)/r)))/r**5)**(-1/2)*(r*r**(-1/4)/r*r)**(-17)/((r/(r*r*r**(-2/3)))/(r/(r/(r*r**(-5)/r*r)))) assuming r is positive.
r**(-173/12)
Simplify ((h/(h*h**(1/2)*h*h))**(-25)/(h/(h*(h/(h/(h/h**(-2)*h)))/h*h))**(4/33))/(h**(6/5)*h**(-6))**(-1) assuming h is positive.
h**(19201/330)
Simplify ((y**(-3/8)/(y*y**(2/5)))/(y**1)**14)/((y**(1/4))**(28/9)/((y**(-4/5)*y)/(y*y/(y*y/(y**4*y))*y))) assuming y is positive.
y**(-8047/360)
Simplify ((n**(-3)*n)**43)**38/(((n/n**(5/2))/(n/(n/(n*n**(-7)))))/(n**(-1/6)*n/((n*n**9/n)/n))) assuming n is positive.
n**(-9839/3)
Simplify ((m*m/m**(-12)*m**(-12)*m**0*(m*(m**(-4)*m)/m)/m*m)**14)**(-20) assuming m is positive.
m**280
Simplify ((i**(-2/25)*i/i**18)/(i**(-8)/(i**(2/19)/i*i)))**(-12/7) assuming i is positive.
i**(7308/475)
Simplify (q/(q*q/(q/(q*q/(q*q/(q/q**(3/5))*q)*q)*q*q*q))*q/(q**(-3)/q)*q/(q/(q*q**10))*q**(-6))**46 assuming q is positive.
q**(2898/5)
Simplify ((h/((h*h**(-8)*h*h)/h)*(h/h**8)/h)/(h**(-2))**23)**42 assuming h is positive.
h**1890
Simplify ((n*n*n/n**(1/17)*n*n**(3/10))/(n**(2/17))**42)**(-10) assuming n is positive.
n**7
Simplify (((w**(-6/7)/w*w)/w*w*w)/(w*w**(-2)*w))**(-1/39)*((w**(-3))**(-18/7))**(-25) assuming w is positive.
w**(-52651/273)
Simplify (r**(-2/5))**(2/35)/(r/(r**(-1/2)*r))**(-4/5)*(r*(r**2*r)/r*r)**19*((r/(r/(r/(r/r**2))))/r)**(-24) assuming r is positive.
r**(9166/175)
Simplify (k*k**(1/5))**(6/7)*(k*k**(-1/9)*k)/(k**(-3/10)*k)*(k/k**(1/4))/((k**(-2/3)/k)/k*k)*(k*k**(-8)*k)/((k**(-5)*k)/k) assuming k is positive.
k**(4579/1260)
Simplify z*z**13*z**(-22)*z**2/z**41 assuming z is positive.
z**(-47)
Simplify ((((n**(-2/7)/n)/n)/n)**(-2/5)/(n**1)**42)**(-1) assuming n is positive.
n**(1424/35)
Simplify (j**5*j*j**1/j)/(j**(1/5)/(j**(-1/2)*j))*j*j/j**0*j*j/j**(-6)*(j/(j/(j/(j*(j*j**4)/j))))/(j*j**(2/5)) assuming j is positive.
j**(109/10)
Simplify (((k*(k*k**7)/k)/k)**26*((k/(k/(k*k/(k/k**(-10))*k)))/k)/(k**(-1/5)/k))**(2/37) assuming k is positive.
k**(1742/185)
Simplify ((l/l**(8/3)*l*l**(5/4))/(l**(2/19)/(l**0/l*l)))**(-29) assuming l is positive.
l**(-3161/228)
Simplify (n/n**(-1/5))**(-1/63)/(n**10*n*n**(2/65)) assuming n is positive.
n**(-15083/1365)
Simplify (p**(-2/3))**(-32)/(p*p**(-2/7))**15*(p**(2/7)/p*p)/(p*p**1)*p**6/(p*p**(-2/19)) assuming p is positive.
p**(5590/399)
Simplify ((o*o**(1/6))**22/(o*o**(3/2)*o/(o**(2/15)/o)))**(4/7) assuming o is positive.
o**(426/35)
Simplify ((((d**(-7)/d)/d)/(d/(d/(d/(d**(-1/4)*d))))*(d/(d/(d*(d**1*d*d*d)/d)*d))**48)**38)**47 assuming d is positive.
d**(481327/2)
Simplify (l**(-1/4)*l**(-9/5))**(-7/3)/((l*l*l/l**5*l)/((l**(-11)/l)/l))**22 assuming l is positive.
l**(-15553/60)
Simplify ((l**(28/3))**(2/5)/((l*l**(-34))/l**6))**(-13/3) assuming l is positive.
l**(-8333/45)
Simplify (u**6*u)/u**(4/7)*u**(-2/3)*u*u**(4/3)*u*(u*u*u/(u*u**(-3/2))*u/(u**(-2/3)*u)*u)**25 assuming u is positive.
u**(5807/42)
Simplify ((z**(-11)*z**(-10))/(((z**(6/5)*z)/z)/(z/(z/(z**(-8)/z*z)*z))))**(34/5) assuming z is positive.
z**(-5304/25)
Simplify (k*k*k**18/k*k*(k/(k/((k*k**(-11))/k)*k))/k*((k/(k*k**(-16)))/k)/((k*k**25)/k))**(-25/2) assuming k is positive.
k**(75/2)
Simplify (v*(v**(-1)/v)/v)**(-38)*(v*v**1)**(-20)*(v**(-2/5)/v)**(-2/129)/(v**4*v*v*v**5) assuming v is positive.
v**(16139/645)
Simplify (b/b**(-1/2))/b*b**(-1/8)*((b**1*b)/b)**(-2/3)*(b*(b**(-2/5)/b)/b*b**(-2)/b*b)/(b*(b*b*b/(b*b**2))/b*b/(b**(2/9)/b)) assuming b is positive.
b**(-1969/360)
Simplify ((n**(-3)/n*n)/n**(4/7))**(-5)/((n/(n**(2/7)*n))/n**(-4)*(n**2)**(4/17)) assuming n is positive.
n**(1627/119)
Simplify (x*x**(3/7)/x)/(x/(x*x**(3/5)))*x**4/x**(-4)*(x**(-1))**(2/49)*x**(-2/21)*x**(-2) assuming x is positive.
x**(5066/735)
Simplify ((d**3/d*d/((d**(1/4)*d*d)/d))/(d**(-5)*d**(-1/2)))/(d/(d/((d/d**4*d*d*d)/d))*d*d/((d/(d*(d**(-4)/d*d)/d)*d)/d*d))**(34/7) assuming d is positive.
d**(883/28)
Simplify ((l**(4/3))**(28/3)*l**(-8)*(l/(l*l*l*l**(-17)/l*l)*l)/l*l)**(1/4) assuming l is positive.
l**(46/9)
Simplify (r**(-9)/(r*r/(r/(r*r**9*r*r))))**(-31)/((r**3/r)/r*r**(-2/11)*r**(2/7)/r*(r**(-3)*r*r)/r) assuming r is positive.
r**(52660/77)
Simplify ((u*u*u**(2/5)/u)**(-37)*(u*u**3)/u*u*u**(2/5))/((u**0)**(-45))**24 assuming u is positive.
u**(-237/5)
Simplify ((((n*n**(2/17)/n)**(-8/7))**(-8/17))**19)**(1/62) assuming n is positive.
n**(1216/62713)
Simplify (((n*n**23)/(n/(n*(n**14*n)/n)*n))/(n**(-9/2)/n)**(-11))**(4/5) assuming n is positive.
n**(-94/5)
Simplify ((g*g*g*(g/(g*g**(2/7)/g)*g)/g*g*g)**(10/9)/(g**5/g**(-5)))/((g*(g/(g/(g/(g*g**(2/3)*g)*g)))/g)/((g*g/g**(-5)*g)/g))**(2/25) assuming g is positive.
g**(-4784/1575)
Simplify h**(-1/3)*h**(4/7)*h*h**(-4)*h*(h*h**(-5))/h*(h**(-2/7)/h*(h*h**(-7))/h)/((h**6*h)/((h/h**(6/7))/h*h)) assuming h is positive.
h**(-460/21)
Simplify ((a/(a*a**(-1/7)*a)*a/a**(3/4)*a)/((a*(a/a**2)/a)/a**(3/5)))/((a/(a/(a*a**(1/3)))) | {
"pile_set_name": "DM Mathematics"
} |
o base 16.
0
Convert -33 (base 9) to base 15.
-20
Convert 53 (base 10) to base 15.
38
Convert 11 (base 11) to base 4.
30
-7 (base 15) to base 2
-111
-27 (base 14) to base 4
-203
What is 242 (base 5) in base 11?
66
cc (base 13) to base 3
20020
97 (base 11) to base 5
411
What is -4 (base 11) in base 8?
-4
What is 2 (base 15) in base 10?
2
What is -210 (base 5) in base 6?
-131
-1 (base 3) to base 15
-1
-27 (base 10) to base 12
-23
-1011 (base 2) to base 12
-b
Convert -2 (base 15) to base 7.
-2
-1 (base 15) to base 4
-1
What is -302 (base 8) in base 6?
-522
What is -4 (base 16) in base 11?
-4
Convert -24 (base 6) to base 16.
-10
-323 (base 6) to base 2
-1111011
What is 12 (base 8) in base 5?
20
-213 (base 11) to base 14
-144
What is 11 (base 16) in base 8?
21
Convert -101110 (base 2) to base 11.
-42
Convert -2 (base 15) to base 10.
-2
3 (base 8) to base 2
11
6 (base 14) to base 15
6
3 (base 9) to base 13
3
2 (base 11) to base 4
2
What is 33 (base 8) in base 2?
11011
What is -31 (base 4) in base 13?
-10
-100010 (base 2) to base 13
-28
What is -25 (base 11) in base 5?
-102
Convert -1 (base 13) to base 8.
-1
What is -3123 (base 4) in base 6?
-1003
-8 (base 11) to base 16
-8
Convert 123 (base 4) to base 6.
43
Convert -ee (base 15) to base 9.
-268
What is 3333 (base 4) in base 12?
193
Convert 40 (base 14) to base 3.
2002
Convert 89 (base 13) to base 8.
161
Convert -185 (base 12) to base 16.
-f5
-1 (base 4) to base 10
-1
Convert 42 (base 12) to base 8.
62
-b (base 13) to base 5
-21
Convert -13 (base 5) to base 12.
-8
What is 331 (base 7) in base 3?
20021
What is 31 (base 4) in base 9?
14
Convert -2 (base 7) to base 15.
-2
What is 6 (base 16) in base 15?
6
Convert 11100101 (base 2) to base 5.
1404
-133 (base 8) to base 3
-10101
11 (base 2) to base 14
3
100101 (base 2) to base 11
34
What is 1103 (base 4) in base 13?
65
Convert -120 (base 5) to base 13.
-29
Convert -11 (base 11) to base 5.
-22
Convert -25 (base 12) to base 10.
-29
Convert 21 (base 3) to base 11.
7
What is -25 (base 14) in base 9?
-36
What is 1010 (base 3) in base 5?
110
122 (base 4) to base 8
32
-10a (base 11) to base 16
-83
Convert 14 (base 14) to base 4.
102
Convert -2 (base 14) to base 13.
-2
-1 (base 11) to base 10
-1
What is 1011 (base 3) in base 7?
43
What is 9 (base 15) in base 5?
14
Convert 10b (base 13) to base 16.
b4
Convert 1100 (base 2) to base 14.
c
-41 (base 12) to base 11
-45
What is -3 (base 16) in base 6?
-3
cb (base 14) to base 7
344
-24 (base 6) to base 13
-13
What is 2 (base 10) in base 12?
2
Convert -22 (base 9) to base 2.
-10100
Convert -1314 (base 6) to base 10.
-334
What is 86 (base 10) in base 6?
222
What is -9 (base 11) in base 5?
-14
Convert -105 (base 7) to base 2.
-110110
What is -22 (base 8) in base 9?
-20
-1 (base 13) to base 16
-1
10 (base 12) to base 16
c
74 (base 9) to base 14
4b
What is -21102 (base 3) in base 4?
-3020
What is 2 (base 7) in base 4?
2
-3 (base 7) to base 2
-11
What is 0 (base 10) in base 7?
0
-6 (base 7) to base 13
-6
What is 1100000 (base 2) in base 6?
240
What is 2 (base 12) in base 5?
2
13 (base 6) to base 12
9
Convert 2 (base 15) to base 16.
2
Convert -13 (base 6) to base 3.
-100
What is -2 (base 14) in base 7?
-2
What is 5 (base 12) in base 4?
11
What is 2 (base 12) in base 9?
2
-34 (base 7) to base 4
-121
What is -1 (base 16) in base 8?
-1
-152 (base 6) to base 12
-58
Convert -79 (base 11) to base 16.
-56
What is -62 (base 10) in base 3?
-2022
What is 15 (base 7) in base 8?
14
Convert 7f (base 16) to base 6.
331
What is -2 (base 9) in base 12?
-2
What is 1000 (base 3) in base 11?
25
-2 (base 5) to base 15
-2
-2 (base 8) to base 15
-2
Convert -32 (base 15) to base 12.
-3b
-2 (base 7) to base 12
-2
What is 101 (base 7) in base 4?
302
What is 29 (base 15) in base 12?
33
-20 (base 13) to base 16
-1a
432 (base 5) to base 2
1110101
What is 334 (base 8) in base 16?
dc
-10 (base 2) to base 4
-2
What is -21 (base 15) in base 7?
-43
-7 (base 14) to base 7
-10
What is -14 (base 9) in base 2?
-1101
Convert 0 (base 14) to base 11.
0
What is 0 (base 13) in base 11?
0
What is -2 (base 16) in base 12?
-2
Convert 153 (base 10) to base 4.
2121
Convert 2 (base 3) to base 8.
2
Convert 28 (base 11) to base 5.
110
What is -124 (base 7) in base 6?
-151
What is -a3 (base 14) in base 11?
-120
14 (base 8) to base 6
20
Convert -3 (base 8) to base 7.
-3
Convert -221 (base 5) to base 9.
-67
What is 2 (base 3) in base 5?
2
What is 1 (base 12) in base 4?
1
Convert 1 (base 11) to base 5.
1
18 (base 9) to base 10
17
Convert -32 (base 4) to base 12.
-12
What is 41 (base 8) in base 6?
53
Convert 3d (base 16) to base 8.
75
What is 111 (base 2) in base 11?
7
Convert -202 (base 6) to base 2.
-1001010
-10332 (base 4) to base 15
-163
What is 1001 (base 3) in base 5?
103
Convert 4 (base 5) to base 10.
4
Convert -155 (base 7) to base 4.
-1121
Convert -10 (base 3) to base 8.
-3
-6 (base 8) to base 15
-6
Convert -1 (base 3) to base 13.
-1
2021 (base 4) to base 6
345
What is -57 (base 11) in base 13?
-4a
-8 (base 11) to base 5
-13
-3 (base 11) to base 16
-3
Convert -12 (base 6) to base 11.
-8
2 (base 12) to base 11
2
-13 (base 4) to base 3
-21
What is 11102 (base 3) in base 7?
230
What is 1 (base 3) in base 8?
1
Convert -1 (base 11) to base 5.
-1
Convert -1a (base 16) to base 13.
-20
3 (base 11) to base 12
3
Convert 4 (base 9) to base 10.
4
Convert -19 (base 15) to base 7.
-33
What is -117 (base 11) in base 2?
-10001011
What is 27 (base 9) in base 15?
1a
What is -3 (base 15) in base 5?
-3
-22 (base 6) to base 4
-32
What is 11 (base 4) in base 15?
5
What is -11 (base 12) in base 14?
-d
41 (base 6) to base 14
1b
What is 0 (base 11) in base 4?
0
What is -101 (base 2) in base 7?
-5
10332 (base 4) to base 3
102210
Convert -5 (base 8) to base 12.
-5
-6 (base 11) to base 15
-6
274 (base 8) to base 2
10111100
What is -2 (base 14) in base 2?
-10
56 (base 12) to base 5
231
-2002 (base 3) to base 6
-132
10 (base 4) to base 12
4
Convert -5 (base 6) to base 8.
-5
Convert 110 (base 5) to base 6.
50
-37 (base 11) to base 6
-104
Convert -2 (base 11) to base 6.
-2
What is 2 (base 16) in base 4?
2
What is -b8 (base 16) in base 8?
-270
What is 100000000 (base 2) in base 11?
213
What is 4 (base 11) in base 15?
4
-35 (base 8) to base 14
-21
1 (base 7) to base 2
1
Convert 5 (base 16) to base 8.
5
What is 1 (base 6) in base 15?
1
What is -a3 (base 16) in base 5?
-1123
What is -1 (base 5) in base 8?
-1
What is -10 (base 4) in base 6?
-4
-2 (base 12) to base 3
-2
-3 (base 9) to base 16
-3
10 (base 6) to base 8
6
27 (base 15) to base 7
52
What is -4 (base 7) in base 3?
-11
What is 88 (base 10) in base 16?
58
What is -2 (base 14) in base 11?
-2
Convert -6 (base 7) to base 5.
-11
Convert -20 (base 5) to base 6.
-14
-98 (base 14) to base 5
-1014
1010110 (base 2) to base 9
105
Convert 30 (base 5) to base 4.
33
-3 (base 13) to base 10
-3
-d (base 16) to base 9
-14
Convert -7 (base 9) to base 15.
-7
Convert 2 (base 15) to base 2.
10
13 (base 5) to base 11
8
Convert 2 (base 7) to base 13.
2
Convert 18 (base 12) to base 2.
10100
Convert -17 (base 10) to base 15.
-12
What is -16 (base 7) in base 15?
-d
What is -27 (base 11) in base 16?
-1d
1a (base 13) to base 7
32
Convert -12 (base 4) to base 12.
-6
What is -11100 (base 2) in base 12?
-24
-43 (base 14) to base 10
-59
Convert 5 (base 6) to base 7.
5
-2 (base 3) to base 5
-2
Convert -4 (base 15) to base 16.
-4
Convert -60 (base 7) to base 12.
-36
What is 11 (base 2) in base 13?
3
What is 11 (base 10) in base 13?
b
3 (base 15) to base 3
10
0 (base 8) to base 16
0
-3 (base 8) to base 10
-3
Convert -102 (base 4) to base 9.
-20
Convert 323 (base 4) to base 5.
214
What is 2 (base 14) in base 6?
2
44 (base 9) to base 16
28
-17 (base 15) to base 10
-22
Convert -14 (base 7) to base 6.
-15
-66 (base 7) to base 3
-1210
205 (base 6) to base 4
1031
Convert 2440 (base 5) to base 11.
307
What is 6 (base 12) in base 4?
12
-10 (base 16) to base 6
-24
-234 (base 5) to base 6
-153
What is -18 (base 10) in base 2?
-10010
254 (base 8) to base 4
2230
Convert 1 (base 3) to base 10.
1
Convert 1 (base 12) to base 14.
1
What is -1 (base 7) in base 10?
-1
-89 (base 16) to base 9
-162
What is -45 (base 6) in base 8?
-35
Convert -19 (base 12) to base 8.
-25
What is -1 (base 7) in base | {
"pile_set_name": "DM Mathematics"
} |
- 2812945*t + 5625972*t.
t
Collect the terms in -5*h**3 + 351644*h + 13*h**3 - 11*h**3.
-3*h**3 + 351644*h
Collect the terms in -5*y**2 - 10*y**2 - 4*y**2 + 7*y**2 + 3*y + 2*y**2 + 12*y**2.
2*y**2 + 3*y
Collect the terms in 389352*s - 895845*s + 506495*s.
2*s
Collect the terms in 4312*g**3 + 3037*g**3 + 2685*g**3 - 1399114*g + 1399112*g.
10034*g**3 - 2*g
Collect the terms in -260*d**2 - 58*d**2 + 1090*d**2 + 5 - 6 + 895*d**2.
1667*d**2 - 1
Collect the terms in 5501787*f**2 - 2074323*f**2 + 9060950*f**2.
12488414*f**2
Collect the terms in -80528*z - 80548*z - 80553*z + 322131*z - 80613*z.
-111*z
Collect the terms in -2*h**3 + 54 + 59 + 57 + 10*h**3 + 53 - 228.
8*h**3 - 5
Collect the terms in 219*m**2 - m**3 + 74*m - m**3 + m**3 - 31*m.
-m**3 + 219*m**2 + 43*m
Collect the terms in 6640 - 35*b - 78*b - 13261 + 6625.
-113*b + 4
Collect the terms in -2498873*h - 143*h**2 - 2499034*h + 4997907*h.
-143*h**2
Collect the terms in 0 + 0 - 554*o + 560*o - 598*o**3 + 0 + 0.
-598*o**3 + 6*o
Collect the terms in 1069*u**3 - 551*u**3 - u**2 + 9*u**3 - 529*u**3 + u**2.
-2*u**3
Collect the terms in 1749*d**2 - 6934*d**2 + 1690*d**2 + 1747*d**2 + 1748*d**2 + 31*d**3.
31*d**3
Collect the terms in 7*p - 729*p**3 + 8*p - 485*p**3 + 1217*p**3 - 15*p.
3*p**3
Collect the terms in -90*o + 46*o - 1 - 128*o - 7 + 13*o.
-159*o - 8
Collect the terms in -5596*p + 1 - 3 - 74*p**2 - 70*p**2 + 36*p**2 + 15967*p.
-108*p**2 + 10371*p - 2
Collect the terms in -16249 + 3*q**3 + 7046 + 9203.
3*q**3
Collect the terms in 21172*x**3 + 6006*x**3 + 539*x**3.
27717*x**3
Collect the terms in 22115 - 692*x + 690*x - 4131.
-2*x + 17984
Collect the terms in -3016*a - 11804112878 + 11804112878.
-3016*a
Collect the terms in l - 144404432 + 72202215 + 72202215.
l - 2
Collect the terms in b**2 - 162*b + 162*b - 7791*b**3 - 6*b**2 + 4*b**2.
-7791*b**3 - b**2
Collect the terms in -3416*a**3 - 327*a**3 - 2*a - 2315*a**3 - 1018*a**3.
-7076*a**3 - 2*a
Collect the terms in 338*p - 399900 + 399900.
338*p
Collect the terms in 654*d + 187 + 159 - 346.
654*d
Collect the terms in 4*s**3 - 2*s**2 + 546 - 7*s**3 - 16*s**3.
-19*s**3 - 2*s**2 + 546
Collect the terms in 107*j**2 - 114*j + 114*j**2 - 448*j**2 + 115*j**2 + 109*j**2.
-3*j**2 - 114*j
Collect the terms in 213500*a**2 + 213477*a**2 - 640393*a**2 + 213434*a**2.
18*a**2
Collect the terms in -7422*s**3 - 17*s**2 - 15*s**2 + 48 + 32*s**2 - 52.
-7422*s**3 - 4
Collect the terms in 12283 - 23*r**3 + 12293 + 12291 - 36867.
-23*r**3
Collect the terms in -6764692*q - 45 + 26*q**2 + 6764692*q + 46.
26*q**2 + 1
Collect the terms in 710*j - 2389*j + 878*j + 858*j.
57*j
Collect the terms in 135*x + 2*x**3 + 151 - 307 + 156 - 94*x.
2*x**3 + 41*x
Collect the terms in -6 - 22799*z + 5 + 22793*z - 4 + 5.
-6*z
Collect the terms in 262*u**3 + 450 - 27*u**3 + 23*u**3 - 819 + 419.
258*u**3 + 50
Collect the terms in -126672*p**2 - 299378*p**2 + 17052*p**2 - 347427*p**2 - 368*p**2.
-756793*p**2
Collect the terms in 1077*l - 3474*l + 4292*l + 5309*l.
7204*l
Collect the terms in -1669151*x - 1669074*x + 3338301*x.
76*x
Collect the terms in -1187*v**3 + 526*v**3 + 2541*v**3 + 4110*v**3.
5990*v**3
Collect the terms in 31*f**2 - 70*f**2 + f**2 - 103*f**2.
-141*f**2
Collect the terms in -20*l - 1027*l**3 - 1122*l**3 - 1 + 39*l.
-2149*l**3 + 19*l - 1
Collect the terms in 444 - 2031*m - 221 - 223 + 331*m.
-1700*m
Collect the terms in 2677261 - 1338617 - 1338644 - 3*g**3.
-3*g**3
Collect the terms in -380*g**2 - g**3 - 75*g**2 + 13*g**3 - g - 5*g**3 - 8*g**3.
-g**3 - 455*g**2 - g
Collect the terms in 25931*b**3 + 25931*b**3 - 103738*b**3 + 22 + 25937*b**3 + 25940*b**3 - 12.
b**3 + 10
Collect the terms in -4*h - 168109452 + 168109450 + h.
-3*h - 2
Collect the terms in 345 - r**2 + 3*r**2 - 253 - 138.
2*r**2 - 46
Collect the terms in 0*i**2 + 15787 - 31094 + 15307 - 5*i**2 + 6*i**2.
i**2
Collect the terms in 33905*w**3 + 35573*w**3 - 69481*w**3.
-3*w**3
Collect the terms in -8*r + 3*r + 0*r - 651 - 63*r**2.
-63*r**2 - 5*r - 651
Collect the terms in -435*d**2 - 5 - 827*d**2 + 2078*d**2 - 825*d**2.
-9*d**2 - 5
Collect the terms in 387*d - 740*d + 372*d + 325 + 13.
19*d + 338
Collect the terms in -1053*t - 917*t + 148*t.
-1822*t
Collect the terms in -19*i - 4*i - 480 + 22*i - 2*i - 5*i.
-8*i - 480
Collect the terms in -1072*p**2 + 1072*p**2 - 35867*p**3 - 31656*p**3 - 38523*p**3.
-106046*p**3
Collect the terms in -2 + 7932814*j**2 + 2.
7932814*j**2
Collect the terms in 6*d**3 - 30*d**2 - 12*d**2 + 28*d**2 - 7*d**2 + 21*d**2.
6*d**3
Collect the terms in 0*y - 34*y**3 + 0*y**2 + 6*y**2 + 4*y + 0*y - y**2.
-34*y**3 + 5*y**2 + 4*y
Collect the terms in 316 + 92 - w**3 - 67 - 362*w + 730*w - 368*w.
-w**3 + 341
Collect the terms in -15*o**2 - 608749 + 608749.
-15*o**2
Collect the terms in 2*y**2 - 85*y + 31*y + 2*y**2 + 36*y - 3*y**2 + 29*y.
y**2 + 11*y
Collect the terms in -193 + 73 - 28 + 76 + 72 + 41*w**3 + 34*w**3.
75*w**3
Collect the terms in -11*l**2 + 815587607496834 - 815587607496834.
-11*l**2
Collect the terms in -270457*q**3 + 135241*q**3 + 7*q**2 + 135217*q**3 + 5*q**2.
q**3 + 12*q**2
Collect the terms in 2767 + 695*u**3 - 5539 + 2772.
695*u**3
Collect the terms in 71*d - 71*d + 3475*d**3 - 20*d**2 + 20*d**2.
3475*d**3
Collect the terms in 404*z - 802*z + 393*z + 10356.
-5*z + 10356
Collect the terms in 9244*y + 4*y**2 - 5*y**2 - 9186*y - 56.
-y**2 + 58*y - 56
Collect the terms in 161140*j - 321830*j + 161098*j.
408*j
Collect the terms in -14*s - 61 + 21*s + 112 + 3*s - 56 - s.
9*s - 5
Collect the terms in -520944 + 94*m**2 - 522311 - 93*m**2 + 1043255.
m**2
Collect the terms in 5*m**2 - 4*m**2 - 2*m**2 - 13*m**2 + 24*m**2 - 2*m**2.
8*m**2
Collect the terms in -1690*p + 5356*p - 1841*p - 1820*p.
5*p
Collect the terms in 1881541*b**2 - 3763069*b**2 + 1881529*b**2.
b**2
Collect the terms in -36 + 301 + 363 + 152 + 54 + 12*h**3.
12*h**3 + 834
Collect the terms in 79*a - 6 + 47 + 18 + 47 - 2.
79*a + 104
Collect the terms in 63923*n + 54783*n - 111777*n.
6929*n
Collect the terms in -83*l**2 + 11*l**2 + 17*l**2 + 18*l**2 - 99*l**2.
-136*l**2
Collect the terms in 250755*j + 3 - 2 - 250808*j.
-53*j + 1
Collect the terms in p**2 - p**2 - 21589*p**3 + 20738*p**3.
-851*p**3
Collect the terms in -30747011333*s + 30747011333*s + 8*s**2.
8*s**2
Collect the terms in 179470587 - 179470587 + 2*h**3.
2*h**3
Collect the terms in -45 + 32 + 40*k - 3*k + 12 + k + 18*k.
56*k - 1
Collect the terms in -51 - 45 + 279719*b - 279758*b + 96.
-39*b
Collect the terms in -7*k**2 - 6*k**2 + 51*k**2 - 11*k**2 - 38*k**2 - 43*k**2.
-54*k**2
Collect the terms in 23*t**2 + 22701 + 24*t**2 + 33*t**2 - 22701.
80*t**2
Collect the terms in -199172*r**2 + 1138*r - 1138*r.
-199172*r**2
Collect the terms in -3349*y - 3266*y + 6546*y + y**2 + 62.
y**2 - 69*y + 62
Collect the terms in 227*x + 21 - 4 + 21 - 5 + 181*x.
408*x + 33
Collect the terms in 1 + 7476*g - 1 + 10386*g.
17862*g
Collect the terms in -1853*v**2 - 1830*v**2 + 7406*v**2 - 1855*v**2 + 71*v - 1865*v**2.
3*v**2 + 71*v
Collect the terms in 394*r**3 + 1355*r**3 + 987*r**3 + 3552*r**3.
6288*r**3
Collect the terms in -243*p - 148*p + 831*p - 158*p - 153*p - 203*p.
-74*p
Collect the terms in -7 - 2 + 29*j + 8 - 13.
29*j - 14
Collect the terms in -134*w**2 + 126*w - 7 + 246*w**2 - 63*w - 63*w - 156*w**2.
-44*w**2 - 7
Collect the terms in 17811 - 9*m**3 - 17811 + 38*m.
-9*m**3 + 38*m
Collect the terms in 183 + 155*q**2 - 60*q**2 - 44*q**2 - 60*q**2.
-9*q**2 + 183
Collect the terms in 24048183 - 24048210 + 33*w - 9*w.
24*w - 27
Collect the terms in 92902*q + 92676*q - 185570*q.
8*q
Collect the terms in 10*f**3 - 6845*f + 13717*f - 6882*f.
10*f**3 - 10*f
Collect the terms in -6167*f**2 + 6167*f**2 + 21929*f**3.
21929*f**3
Collect the terms in 36 + 53*i**2 + 39 - 220 + 108 + 37.
53*i**2
Collect the terms in -9424*w**2 + 0 + 8655*w**2 + 4*w + 2.
-769*w**2 + 4*w + 2
Collect the terms in -104*g**2 + 132*g - 41*g - 71*g + 89*g**2 - 20*g.
-15*g**2
Collect the terms in 30*i**3 - 29*i**3 + 5*i**3 - 56*i**3 - 117*i**3 + 2276852*i**2 - 2276852*i**2.
-167*i**3
Collect the terms in 3341666*k**2 - 6678785*k**2 + 3337129*k**2.
10*k**2
Collect the terms in 8*y**3 + 8*y**3 + 144248*y**2 - 72028*y**2 - 72220*y**2.
16*y**3
Collect the terms in -18*c**3 + 9*c + 4*c + 4 - 17*c + 3*c.
-1 | {
"pile_set_name": "DM Mathematics"
} |
or t.
-5
Let d be 10/(-25) - (-18)/(-5) - -8. Solve -5*r + 4*x - 13 = 0, -3*r + d*x - 11 = -0*x for r.
-1
Let b = 0 - -3. Suppose -3*s + 5*v = 2, 3*s + 2*v + v - 6 = 0. Suppose -s - 23 = -6*y. Solve -b*q + 4*q - y*a = -25, -3*q + 4*a = 35 for q.
-5
Let r = 8 - 4. Solve -m - r = -2*b + b, -b - 2*m + 7 = 0 for b.
5
Let i = 10 - 6. Let g be 2/(-8) - (-95)/76. Suppose -h + i = -g. Solve t + 5*j = -4*t + h, 0 = -3*t - 4*j + 6 for t.
-2
Let f be ((21 - 11) + -10)/(-3 - 0). Solve 4*n = 3*j - 18, f*j + 2*j = -3*n - 5 for j.
2
Let l = 23 + -10. Let o(w) = 4*w**3 + w**2. Let y be o(1). Solve j = -y*d + 5*j + l, 4*d = j + 17 for d.
5
Suppose 4*i + 7 = -1. Let x = i - -7. Suppose 0 = x*j - 4*j. Solve 4*r - 19 = d - 4*d, 2*r - 4*d + 18 = j for r.
1
Suppose 0 = 5*a - 44 + 34. Solve -2*f - m = -8, 4*f - a*f + 2*m = 6 for f.
5
Let f(h) be the first derivative of h**4/4 + 8*h**3/3 + 4*h**2 - 10. Let s be f(-6). Let v = 30 - s. Solve -u + 4*g = g - 14, v = -2*g for u.
5
Let i(m) = -3*m**2 + 22*m - 24. Let u be i(6). Solve 5*y + u*q = 4*q + 29, 0 = y + 5*q for y.
5
Suppose -4*a = 4*f + 336, -3*a - 86 - 6 = f. Let h be (f*1)/(-4)*1. Solve p + 5*q = h, -4*p - 4 = -9*p - q for p.
0
Suppose -3*r - 12 = -l - 1, -17 = -3*l + r. Suppose 5 = -l*z, 3*b + b + z = -1. Suppose 0 = -b*m + 2*m. Solve m*a + 16 = 5*a - 3*d, 3*d - 4 = -5*a for a.
2
Let m be (-3 + 9 - 8)/(4/(-8)). Solve 5*x = -5*j + 20, -4*j + 5*x = m*x - 21 for j.
5
Let g be (-6 + -1)/(2/(-4)). Suppose o - 2*o - 13 = -t, 2*o + 4*t + 8 = 0. Let s = o + g. Solve -27 = -5*u + 4*y, -2*y = s*u + 2*y for u.
3
Let f be -2 + 1*(-1 + 3 + 2). Suppose -4*l + r + 0*r = -10, f*r - 1 = l. Solve 0 = 2*p + 3*j + 7, l*j - 2*j = -p - 3 for p.
-2
Let u(m) = -m**3 + 18*m**2 - 16*m - 12. Let s be u(17). Solve 4*i - s*h + 11 = -5, 3*i - 3*h = -12 for i.
-4
Suppose -11 - 1 = -6*z. Solve 2*m = 3*b - z, 4*m + 12 = 2*b + 8*m for b.
2
Let g = 5 + 15. Suppose -5*t + 24 = -t. Suppose -r = -t*r + g. Solve i - q = q + 14, -4*i - 4*q = r for i.
4
Suppose -2*w + 13 = -1. Let i(k) = k - 13. Let b be i(w). Let r(s) = s**2 + 4*s - 5. Let n be r(b). Solve -2*z = -v - 1, 0*v + n = 5*z + 2*v for z.
1
Let a = 12 + -10. Let w be a/(-6) - (-32)/6. Solve 5*r + 10 = 5*f - f, -2*r - 4 = w*f for r.
-2
Suppose -3*u = 5*k - 0*k - 35, 0 = -5*k - 4*u + 40. Let b be 2 - -2 - k/2. Solve 3*f + 3 = -d - b, 0 = -f for d.
-5
Suppose -7*u - 27 + 6 = 0. Let q be u/((-18)/20) - (-16)/(-12). Solve -5*m + 10*m = -q*j + 3, 2*j + 1 = -m for j.
-1
Let x(w) = -w**2 - 9*w - 27. Let g be x(-8). Let n(y) = y**2 + 19*y + 2. Let p be n(g). Solve b = -4*b - 3*h - 37, -p*b = 4*h + 26 for b.
-5
Let x(g) = g**3 - 53*g**2 + 197*g - 45. Let m be x(49). Solve 3*w = 6*w - 2*c + 8, 16 = -m*w + 4*c for w.
0
Let d be -1*12*(-45)/(-12). Let r be ((-4)/(-8))/((-3)/(-1 - -7)). Let a be r/(3*3/d). Solve -4*l + 2*l - a*p = 4, -3*p = 0 for l.
-2
Suppose -4*c - 5*x = -16, -2*c + 20 = 3*c - 3*x. Suppose c*w = 5 + 7. Solve -w*i + 0*v + 3 = -3*v, -4*i - 3*v = 17 for i.
-2
Let j be (12/(-16))/((-1)/12). Let k be 25/9 + 2/j. Suppose k*y = -w + 5, 0*y - 2*y = w - 3. Solve 3*c + 2 = -5*l + c, 2*l = -2*c - y for l.
0
Let p = -53 - -55. Suppose -3*s - q = p*s - 15, -s - q = -7. Solve -4*g = s*c - 20, -2*c - 15 = -5*c - 3*g for c.
0
Suppose -8 = -4*m - 0*m. Suppose 7*b = 94 - 31. Solve -2*u - 5*v - 22 = 0, 2*u + m*v = u - b for u.
-1
Suppose 0 = 4*a - u + 6*u, -5*u = -4*a. Let l be (4/3)/(656/48 + -13). Solve -5*o - t - 6 = a, 3*t - l = 4*o - 1 for o.
-1
Let p(f) = -f**2 + 3*f - 90. Let h be p(0). Let j be 18/h + 2/10. Solve -4*b - w + 2 = 0, b = -4*w - j*w + 8 for b.
0
Suppose -10 = -3*f - 2*r, -9*f + 4*f + 25 = -5*r. Suppose 5*x + 50 = -5*d, 5*x = x - d - 25. Let v = f - x. Solve 0 = q - 3*o - v, -2*q - 5*o = -3*o - 2 for q.
3
Let q be (52/2 - -2)*56/28. Suppose -2*o = q - 64. Solve 4*h - o = 0, -2*s + 2*h = s + 5 for s.
-1
Let h(w) = 5*w + 0*w + 3 - 2*w - 24. Let a(v) = -v**3 - 2*v**2 + 2*v + 6. Let g be a(-3). Let x be h(g). Solve 4*z + x*u + 16 = 2*u, 4*z + 10 = 2*u for z.
-3
Let h be (-8)/44 - 167/(-11). Let a be (50/h)/(6/9). Solve a + 1 = -4*q + 5*v, -q + 9 = 4*v for q.
1
Let b(d) = d - 12. Let l be b(15). Suppose 3*z = l*o + z - 11, -5*z - 2 = o. Solve -5*q = -3*r + 15, -o*r - q - 3*q + 15 = 0 for r.
5
Let i(u) = 2*u - 9. Let r be i(6). Suppose -z + 3*d = -15, -9 + 29 = r*z - 4*d. Solve -b = -a + b, -a + b = z for a.
0
Let h = 5 + -2. Suppose k = h*k - 4. Solve -12 = -4*c - 2*y, 0 = -k*c - 3*y - 0*y + 14 for c.
1
Let j be (-9)/(-2) + (-7)/(-14) + -1. Solve -2*h = -2*m, j*h - 30 = -2*m - 0*m for h.
5
Let u = 244 - 244. Solve 2 = 4*m + 3*t - u*t, -8 = -2*m - 5*t for m.
-1
Suppose -4*p + 6*p = -3*w + 21, 0 = 4*p + 3*w - 39. Let l = -9 + p. Solve x - 4*a - 3 = l, 0 = -4*x - a - 0*a - 5 for x.
-1
Let f = 9 + -7. Solve -f*z + 2*v = -2, 2*z + 10 = -5*v - 16 for z.
-3
Suppose -3*r - 9*f + 5*f = -25, 2*f = -2*r + 16. Solve p + r = i - 1, -3*i = -p - 14 for i.
3
Suppose -2*w + 44 = -12. Let p = 23 - 19. Solve l - a - 16 = 3*a, 0 = -2*l - p*a - w for l.
-4
Let k be (18/15)/((-3)/(-10)). Suppose -k*r + 6*r - 8 = 0. Solve r*d + 12 = -t, 3*t + 0*d = -2*d + 4 for t.
4
Suppose 2*h - 4*a = 0, 3*h - 2*a = 3 + 1. Suppose -6*l + l = n - 33, h*n - 66 = l. Solve -5*o - n = -4*z, -2*o - 16 = -5*z + 2*z for o.
-5
Suppose 0 = -6*m - 7 + 7. Let i(b) = -b**2 + 2*b + 2. Let a be i(m). Solve -2*c - a*v - 6 = 0, -c + 4*c = 2*v + 1 for c.
-1
Let f = -176 - -179. Solve -f*c + 5*c = 5*n + 6, 2*n = c - 2 for c.
-2
Let y be 2*(3 + -2 + 34/(-4)). Let w be (9/y)/((-4)/20). Solve 2*z - 4*p - 14 = 0, -2*p = 8*z - w*z + 25 for z.
-3
Suppose 11 = 3*l - 1. Let b be (-6)/l + 205/10. Let q(m) = m**2 + m - 4. Let z be q(-3). Solve -11 = -z*v + 3*v + 4*a, 0 = -3*v + a + b for v.
5
Let s be 69*(-5)/9*(-21)/35. Solve 7 = -2*c - i, 4*c = c - 4*i - s for c.
-1
Let o(h) = 3*h - 14. Let j be o(5). Suppose 0 = -4*r + 5*n + 17, -4 = 5*n + j. Solve -r*b = -5*v + 21, 0*v - 5 = -2*b - 3*v for b.
-2
Let z(g) = -g**3 - 41*g**2 + 44*g + 111. Let l be z(-42). Solve 3*y = 2*u + 3*u + l, -y = 3*u + 5 for u.
-3
Let s(k) = 6*k + 125. Let f be s(-20). Solve -o = -3*c + 2*o, -3*o = -f*c + 6 for c.
3
Suppose -2*z + 65 = -155. Let o = z + -108. Solve -3*x = -5*g, -o*g = -5*x - 4 - 15 for g.
-3
Let v = 0 + 0. Let w = 24 - 17. Solve 3*z = v, -2*g + w = -2*z - 1 for g.
4
Let a(x) be the third derivative of x**4/24 + 17*x**3/6 - 7*x**2. Let c be a(0). Solve -c = 4*t - 7*t + u, -5*u = 2*t for t.
5
Let p(a) = 14*a + 156. Let b be p(-11). Solve -4*k + 5 + 9 = 3*l, 4*l - b*k + 18 = 0 for l.
-2
Suppose -s + y - 5 = 0, -4*s + 5*s + 3 = 3*y. Let q be (-4)/(-14) - s/(-21). Suppose 36*r - 15 = 33*r. Solve -r*h + 3*g + 37 = q, 0*h + 3*h + 1 = -4*g for h.
5
Suppose -22*d + 102 = -5*d. Solve 3*w = -2*h + 4*h - d, -4*w + h = 3 for w.
0
Suppose -4*h - 2*v = -h - 45, 5*v + 15 = 0. Solve 4*m + 4*o = 6 + 14, 3*o + h = 5*m for m.
4
Suppose -5*x + 1 = -14. Let f(z) = -x*z - 6 + z**2 + 5 - 4. Let c be f(5). Solve -p + 15 = -c*w, w - 3*p = 4*w + 9 for w.
-3
Let k(p) = 32*p + 165. Let c be k(-5). Solve -m - 3*m + c*a = 0, -35 = -3*m - 5*a for m.
5
Let l be (2/1)/(3/30). Suppose 61 + l = 3*b. Let o = 38 - b. Solve 2*z + 2*c - o = -z, -2*c = -z + 1 for z.
3
Suppose -89 = 3*h + l, -2*h - 4*l - l = 81. Let n = -17 - h. Suppose 0 = -2*g + 3 + n. Solve -g = -4*p - 3*w, 0 = 4*p - 3*w + 12 + 11 for p.
-2
Let t be 441/98 - (-2)/(-4). Solve -2*y - 18 = y + 3*f, -3*f + 3 = -t*y for y.
-3
Let u = 543 + -538. Solve -4*w = 0, -4*q + 3*w - 17 = -u for q.
-3
Let d(q) = q**3 - 2*q**2 - 3*q + 3. Let i be d(3). Let u = i + -1. Suppose u*z = 6*z. Solve -4*b = -5*f - 24, z = -f - f - 8 for b.
1
Let h = 291 - 289. Solve -4*l - h*j - 22 = 0, -3*j - 5 = 2*l - 8*j for l.
-5
Let b(p) = p - 16. Let m(f) = 3*f - 33. Let s(k) = -5*b(k) + 2*m(k). Let n be s(10). Let w be 3*4/(n/10). Solve -3*r + 0*r - 3*q = -18, -w*q = 2*r - 21 for r.
3
Suppose -v = -7 + 1. Solve -d - 27 = -v*d - 3*o, -22 = -2*d - 4*o for d.
3
Let a(b) = -b**2 - 9*b - 14. Let o be a(-6). Suppose 0 = -o*t + s + 17, t - 2*t + 11 = 2*s. Let u = -5 - -10. Solve u = t*h, -3*x = x - 4*h for x.
1
Let h(l) = -14*l - 68. Let v be h(-6). Solve 4*m = -v, -2*r - 3*m + 8*m + 10 = 0 for r.
-5
Let c = -3105 + 3109. Solve -3*w = -12, s - w + 16 = c*w for s.
4
Suppos | {
"pile_set_name": "DM Mathematics"
} |
What are the prime factors of 1151?
1151
List the prime factors of 1568.
2, 7
What are the prime factors of 3144?
2, 3, 131
List the prime factors of 7477.
7477
What are the prime factors of 113069?
11, 19, 541
List the prime factors of 8271.
3, 919
List the prime factors of 687.
3, 229
What are the prime factors of 23225?
5, 929
What are the prime factors of 1280?
2, 5
What are the prime factors of 4307?
59, 73
List the prime factors of 12370.
2, 5, 1237
What are the prime factors of 104197?
29, 3593
List the prime factors of 10854.
2, 3, 67
List the prime factors of 253.
11, 23
List the prime factors of 14724.
2, 3, 409
What are the prime factors of 1682?
2, 29
What are the prime factors of 702?
2, 3, 13
What are the prime factors of 548?
2, 137
List the prime factors of 118851.
3, 173, 229
List the prime factors of 1875.
3, 5
What are the prime factors of 103044?
2, 3, 31, 277
List the prime factors of 52694.
2, 26347
List the prime factors of 41805.
3, 5, 929
What are the prime factors of 2106?
2, 3, 13
List the prime factors of 8707.
8707
List the prime factors of 43398.
2, 3, 2411
List the prime factors of 139909.
7, 11, 23, 79
What are the prime factors of 900?
2, 3, 5
What are the prime factors of 92?
2, 23
List the prime factors of 172810.
2, 5, 11, 1571
List the prime factors of 104.
2, 13
List the prime factors of 136423.
7, 19489
List the prime factors of 1152.
2, 3
List the prime factors of 15051.
3, 29, 173
What are the prime factors of 3656?
2, 457
What are the prime factors of 71961?
3, 17, 83
List the prime factors of 25488.
2, 3, 59
List the prime factors of 767.
13, 59
What are the prime factors of 691?
691
What are the prime factors of 3599?
59, 61
What are the prime factors of 39374?
2, 19687
List the prime factors of 406.
2, 7, 29
List the prime factors of 24465.
3, 5, 7, 233
List the prime factors of 13524.
2, 3, 7, 23
List the prime factors of 58787.
58787
List the prime factors of 534.
2, 3, 89
What are the prime factors of 784?
2, 7
What are the prime factors of 7922?
2, 17, 233
What are the prime factors of 12229?
7, 1747
What are the prime factors of 79389?
3, 8821
What are the prime factors of 1020?
2, 3, 5, 17
List the prime factors of 2091.
3, 17, 41
List the prime factors of 7146.
2, 3, 397
List the prime factors of 1134.
2, 3, 7
What are the prime factors of 3205?
5, 641
What are the prime factors of 495?
3, 5, 11
What are the prime factors of 1128?
2, 3, 47
What are the prime factors of 83138?
2, 11, 3779
What are the prime factors of 8345?
5, 1669
What are the prime factors of 2675?
5, 107
List the prime factors of 522.
2, 3, 29
List the prime factors of 59513.
59513
What are the prime factors of 18610?
2, 5, 1861
List the prime factors of 3739.
3739
List the prime factors of 1654.
2, 827
What are the prime factors of 23400?
2, 3, 5, 13
List the prime factors of 7163.
13, 19, 29
What are the prime factors of 1821?
3, 607
List the prime factors of 4410.
2, 3, 5, 7
List the prime factors of 4694.
2, 2347
List the prime factors of 8513.
8513
List the prime factors of 1337.
7, 191
List the prime factors of 8309.
7, 1187
List the prime factors of 2300.
2, 5, 23
List the prime factors of 5022.
2, 3, 31
List the prime factors of 3701.
3701
What are the prime factors of 1030?
2, 5, 103
What are the prime factors of 760?
2, 5, 19
What are the prime factors of 65553?
3, 21851
What are the prime factors of 51?
3, 17
List the prime factors of 17840.
2, 5, 223
What are the prime factors of 50834?
2, 7, 3631
List the prime factors of 3974.
2, 1987
List the prime factors of 53000.
2, 5, 53
What are the prime factors of 80788?
2, 19, 1063
List the prime factors of 32077.
32077
List the prime factors of 1965.
3, 5, 131
What are the prime factors of 5556?
2, 3, 463
What are the prime factors of 90375?
3, 5, 241
List the prime factors of 1223.
1223
List the prime factors of 450.
2, 3, 5
List the prime factors of 5863.
11, 13, 41
What are the prime factors of 4407?
3, 13, 113
List the prime factors of 32592.
2, 3, 7, 97
What are the prime factors of 74695?
5, 14939
List the prime factors of 512.
2
List the prime factors of 23330.
2, 5, 2333
What are the prime factors of 15048?
2, 3, 11, 19
List the prime factors of 5918.
2, 11, 269
List the prime factors of 11757.
3, 3919
List the prime factors of 6346.
2, 19, 167
List the prime factors of 34.
2, 17
List the prime factors of 2781.
3, 103
List the prime factors of 1178.
2, 19, 31
List the prime factors of 73610.
2, 5, 17, 433
What are the prime factors of 1174?
2, 587
List the prime factors of 26355.
3, 5, 7, 251
List the prime factors of 17040.
2, 3, 5, 71
List the prime factors of 53730.
2, 3, 5, 199
List the prime factors of 513.
3, 19
What are the prime factors of 6506?
2, 3253
List the prime factors of 3179.
11, 17
What are the prime factors of 15919?
15919
What are the prime factors of 1452?
2, 3, 11
List the prime factors of 5927.
5927
List the prime factors of 1727.
11, 157
List the prime factors of 17295.
3, 5, 1153
What are the prime factors of 18891?
3, 2099
List the prime factors of 49340.
2, 5, 2467
What are the prime factors of 76377?
3, 7, 3637
List the prime factors of 33255.
3, 5, 739
What are the prime factors of 3700?
2, 5, 37
List the prime factors of 3449.
3449
List the prime factors of 848.
2, 53
What are the prime factors of 15378?
2, 3, 11, 233
List the prime factors of 2189.
11, 199
What are the prime factors of 4857?
3, 1619
What are the prime factors of 757?
757
List the prime factors of 1784.
2, 223
What are the prime factors of 3245?
5, 11, 59
List the prime factors of 20302.
2, 10151
What are the prime factors of 5049?
3, 11, 17
List the prime factors of 12802.
2, 37, 173
What are the prime factors of 9070?
2, 5, 907
List the prime factors of 10773.
3, 7, 19
List the prime factors of 18064.
2, 1129
What are the prime factors of 27008?
2, 211
List the prime factors of 23664.
2, 3, 17, 29
List the prime factors of 40036.
2, 10009
List the prime factors of 4369.
17, 257
List the prime factors of 1881.
3, 11, 19
What are the prime factors of 27632?
2, 11, 157
What are the prime factors of 7946?
2, 29, 137
List the prime factors of 61492.
2, 15373
List the prime factors of 328.
2, 41
List the prime factors of 2334.
2, 3, 389
What are the prime factors of 2215?
5, 443
List the prime factors of 1328.
2, 83
What are the prime factors of 6248?
2, 11, 71
What are the prime factors of 2162?
2, 23, 47
What are the prime factors of 7840?
2, 5, 7
List the prime factors of 565.
5, 113
What are the prime factors of 589?
19, 31
What are the prime factors of 746?
2, 373
List the prime factors of 89857.
59, 1523
List the prime factors of 194.
2, 97
List the prime factors of 1648.
2, 103
List the prime factors of 48891.
3, 43, 379
List the prime factors of 27684.
2, 3, 769
List the prime factors of 1881.
3, 11, 19
List the prime factors of 97372.
2, 11, 2213
What are the prime factors of 1771?
7, 11, 23
List the prime factors of 1403.
23, 61
List the prime factors of 6131.
6131
What are the prime factors of 17063?
113, 151
List the prime factors of 5117.
7, 17, 43
List the prime factors of 28377.
3, 1051
List the prime factors of 2330.
2, 5, 233
What are the prime factors of 15598?
2, 11, 709
List the prime factors of 36872.
2, 11, 419
What are the prime factors of 6905?
5, 1381
List the prime factors of 6356.
2, 7, 227
List the prime factors of 64230.
2, 3, 5, 2141
List the prime factors of 1123.
1123
What are the prime factors of 9134?
2, 4567
What are the prime factors of 4765?
5, 953
What are the prime factors of 2781?
3, 103
What are the prime factors of 1811?
1811
What are the prime factors of 8526?
2, 3, 7, 29
List the prime factors of 19175.
5, 13, 59
What are the prime factors of 468?
2, 3, 13
What are the prime factors of 1100?
2, 5, 11
List the prime factors of 7210.
2, 5, 7, 103
What are the prime factors of 1351?
7, 193
List the prime factors of 637.
7, 13
What are the prime factors of 1665?
3, 5, 37
What are the prime factors of 5534?
2, 2767
List the prime factors of 984.
2, 3, 41
What are the prime factors of 4076?
2, 1019
List the prime factors of 6086.
2, 17, 179
List the prime factors of 22060.
2, 5, 1103
List the prime factors of 1365.
3, 5, 7, | {
"pile_set_name": "DM Mathematics"
} |
-14 - (1 - (-1 + -4))
2
What is (-5 - -2 - 0) + 3?
0
Evaluate 0 + (-3 - (2 + -1)).
-4
What is the value of (8 - 5) + -3 + -2?
-2
What is the value of 6 + (-12 - -5) + 3?
2
Calculate 0 - (-2 + -2 + -3 + 7).
0
What is the value of -16 + 21 - (0 + (-1 - -5))?
1
-2 + 5 + -4 + 1
0
-4 + -4 + 0 + -5 + 10
-3
Evaluate -8 + (-5 - (-22 + 2 - -8)).
-1
Evaluate (-6 + 14 - 14) + -4 + 4.
-6
What is the value of (-3 - -1) + 4 - 3?
-1
3 - (0 + -2) - 1 - 0
4
Evaluate (-11 - -19 - 14) + 7 + 1.
2
Evaluate (-9 - (0 - (0 - -2))) + 2.
-5
What is the value of 0 - (6 + -19) - 3?
10
4 + 0 + (-5 - 0)
-1
Calculate 8 + 4 + -8 - (0 + -1).
5
10 + 7 + 3 + -22
-2
What is the value of -8 + 2 - -15 - 2?
7
What is the value of -5 - -3 - (3 + -5 + 5)?
-5
Calculate -2 + -9 + 4 - -1.
-6
-2 + (3 - -1) + -1 - -4
5
What is -5 + (-1 - -5) + (14 - 19)?
-6
Calculate 1 + -3 + -2 - -5.
1
What is the value of 28 + -39 + (5 - -1)?
-5
(3 - 3) + -6 - (-1 + 0)
-5
Evaluate 4 - (10 - 2) - (-1 - 2).
-1
What is the value of (1 - -3) + (-1 + 2 - 6)?
-1
What is -2 + 2 + 6 + -2?
4
What is 6 - (0 - 2 - (-2 + -3))?
3
What is (-7 - (-2 - -4)) + (3 - -2)?
-4
What is 5 + -1 - ((-2 - -1) + 4)?
1
Calculate -8 + (-16 - -10) - -8.
-6
What is 6 - (-3 + 2 - -2)?
5
Calculate -7 - (13 + -9 - 9 - -1).
-3
Calculate (5 - 13) + -1 + 5 + 0.
-4
1 + 6 + 0 - 3
4
(-9 - (-6 - -5)) + 3
-5
What is the value of (1 - (1 - 0)) + 81 + -81?
0
What is 5 + -9 + -2 + -1 + 0?
-7
-9 + (10 - (14 - 8))
-5
What is 7 - -1 - (35 - 21)?
-6
Calculate -3 + (-1 - (1 - (1 + 2))).
-2
Evaluate 6 + -2 + 0 + -34 + 32.
2
Calculate -5 + (4 + 5 + -10 - 0).
-6
Evaluate -13 + (11 - (3 - -5)).
-10
Evaluate 3 + -2 - (7 + 2 - 8).
0
Calculate 5 - (8 + -15 + 11).
1
Calculate 11 + -10 + -1 + 0.
0
Evaluate (-1 - 5) + (0 - (-3 + 1)).
-4
Evaluate 10 + (-12 - -8) + -4 + -11.
-9
What is 14 - (7 + -2) - 3?
6
What is the value of (-5 - (-2 - -1)) + 1?
-3
What is the value of (7 - (17 + (-4 - 4))) + 1?
-1
Evaluate -12 + 13 - ((0 - -2) + 3).
-4
8 + (4 - 6 - 3)
3
What is 11 + (-6 + 6 - 2)?
9
What is the value of -2 + 2 + (-11 - -2)?
-9
Evaluate 1 - 1 - (3 - 5 - 1).
3
Evaluate -4 + 1 + 2 + (18 - 15).
2
Calculate -2 - 1 - (-1 + 14 + -8).
-8
Calculate 4 + (-9 - -8) + 2.
5
(9 - 5) + (-7 - -4)
1
What is (-3 - -4) + -4 + (-1 - -1)?
-3
Calculate (2 - (-2 + 3)) + (-2 - 4).
-5
What is the value of 5 + (-1 - 0 - (-2 - -1))?
5
Calculate (0 - 5) + 20 + -6 + -7.
2
What is the value of 3 - (-5 - (5 + -12) - -3)?
-2
-6 + (-9 + 4 - -9)
-2
Evaluate 16 + 0 + (-5 - 21) + 20.
10
What is the value of 1 + (2 - (4 - (-4 - -8)))?
3
Calculate 12 + 2 + -94 + 91.
11
Calculate 4 - 0 - (10 - 4).
-2
What is 1 - (3 + -2) - 5?
-5
Calculate -40 + 50 + -13 + -1.
-4
-2 - (2 - (3 - -2))
1
What is (6 + 0 - -1) + -1?
6
Calculate -2 + (3 + -1 - (-16 + 16)).
0
What is 6 + (15 + -24 - (1 - 3))?
-1
What is the value of -3 + 3 + (-3 - -1) + -1?
-3
What is -2 - (-4 + 2 - -7)?
-7
What is the value of 14 + 1 + -73 + 66?
8
Evaluate -6 + (12 - 7) + -1 + 0.
-2
Evaluate -1 - 4 - ((6 - -2) + -10).
-3
Calculate ((-2 - -7) + -2 - 4) + -4.
-5
What is the value of 1 + 1 + -4 + (10 - 7)?
1
What is -4 + -1 - -9 - (1 - -5)?
-2
Calculate 2 + -1 - 4 - -1.
-2
Calculate (-60 - -69) + (1 - 9).
1
What is the value of -8 - (8 + -14 - 6)?
4
What is -1 + 4 - -3 - (-1 - -4)?
3
Evaluate 2 + -1 + (172 - 176).
-3
9 + (-1 + 1 - 5)
4
What is 1 + (-3 - (6 - 5 - 0))?
-3
What is 0 + -1 - -3 - (-1 + -2)?
5
(-35 - -47) + -3 + 0
9
Calculate 1 + 6 + -3 + -4 + -7.
-7
What is (1 - (2 + -1)) + 3 + 2?
5
What is -3 - (-4 + 7 - 0)?
-6
Evaluate (1 - 7) + 45 + -25 + -4.
10
Calculate 1 + -1 + 6 + (164 - 161).
9
1 - (6 + 2 + -6)
-1
What is (-13 - -15) + (-9 - 0)?
-7
Calculate 1 - (8 + -10) - 4.
-1
What is the value of -2 + (-5 - -8) - 2?
-1
Calculate -1 - -1 - (-2 + 3).
-1
Calculate 0 - (-2 + (3 - -3)).
-4
What is the value of -1 + (9 - (4 - 5) - 5)?
4
Calculate -9 - (8 + (1 - 27)).
9
1 - (-2 + 3 - 0 - 3)
3
Evaluate 1 + 0 - (-6 + 11).
-4
6 + -16 + 6 + 6
2
2 - -2 - (0 + 0)
4
What is the value of (-3 - -8) + -10 + 0?
-5
What is 5 + (-2 - 0) + (-14 - -16)?
5
What is the value of 13 + -9 + -10 + (4 - 0)?
-2
What is -12 + 7 + -1 + 9 + 1?
4
What is the value of -5 + 9 - ((16 - 11) + -8)?
7
What is the value of -1 + (-3 - (-3 - 3))?
2
10 + (-5 - -2) + -2
5
Calculate 13 + -9 + (-5 - 1) + 0.
-2
What is the value of -2 - -3 - (4 + -1)?
-2
Evaluate 6 + -8 + 12 - 4.
6
What is the value of 6 - (-4 + 8 + 1)?
1
6 + (-1 - -5 - 5 - 0)
5
Calculate -3 + (5 + 1 - 7).
-4
Calculate 1 - (-3 + 2) - 6.
-4
Evaluate 8 + -6 + 3 + 0.
5
Calculate 6 - 4 - -3 - (3 + 2).
0
-4 + 5 + 0 + -3
-2
Evaluate 3 + (2 - (-6 - -3)).
8
Calculate (-1 - (-3 + -1)) + -1.
2
(2 - 4) + 16 + -9
5
What is -5 - (1 + (3 - 8))?
-1
What is 8 + (-11 - (0 - (1 + -4)))?
-6
Calculate -5 - (-10 + -2) - (5 - 1).
3
What is the value of (-12 - -4) + 1 - (13 + -12)?
-8
Evaluate (-7 - -12) + 2 + 2 + 0.
9
-1 - 4 - (-13 - (0 - 2))
6
Evaluate 6 - (-5 - (-8 - 7)).
-4
13 + -20 - (1 + -4)
-4
What is 0 + 1 + -6 + 0?
-5
What is the value of -9 - -12 - (-2 - (-14 + 2))?
-7
Evaluate (-8 - -9) + -4 + 3.
0
Calculate 7 + -4 + -11 + 8.
0
What is the value of 6 - (7 + (0 - -4) + -5)?
0
Evaluate 2 - (-5 + (11 - 4)) - -8.
8
Evaluate (52 - 57) + (-2 - 0 - -2).
-5
Evaluate (-9 + 10 + -5 - -12) + -2.
6
Calculate (-6 - 2) + 6 + -2.
-4
What is -2 + 5 + (-2 - 1)?
0
Calculate (5 - 9) + -2 + 1 + 9.
4
What is the value of -5 - (0 + -4 - (9 - 7))?
1
What is 1 + (7 + -11 - (-1 - -1))?
-3
What is -10 - (-32 + 26 + (4 - 0))?
-8
What is (-3 - -12) + (2 - 5)?
6
Calculate 6 - (1 + -3 + 3 - -1).
4
What is the value of -8 - (7 + 5 + -12)?
-8
Evaluate 3 + (6 + -6 - 1) + -6.
-4
Calculate (-3 - -2 - 0) + 8.
7
-8 + (5 - (-7 + 2 - -4))
-2
What is the value of 1 + -13 + 7 + 8?
3
Calculate -1 + 11 - (16 - 4).
-2
What is the value of -1 - (-1 + (-7 + 0 - -2))?
5
What is the value of (8 - -3) + 3 + -7?
7
Calculate (0 - (0 - 2)) + (4 - 11).
-5
What is the value of -2 - 0 - (-5 - 1)?
4
What is the value of -3 + 5 - 6 - -4 - -1?
1
What is 2 - (12 - 10) - -9?
9
What is the value of -7 - (7 - 26) - 10?
2
What is the value of -1 - ((-3 - 0) + 0 - 0)?
2
What is the value of 1 - (-3 + 5) - (-3 + 1)?
1
What is the value of 1 - 1 - ((-11 - -11) + 1)?
-1
-4 - -3 - 1 - -1
-1
Calculate 13 + -12 - (0 - -6).
-5
Evaluate 5 + (-4 + 4 + -5 - 1).
-1
What is the value of 3 - (-1 + (2 - 3)) - 2?
3
What is the value of 16 - (7 - (-4 + 3))?
8
Calculate (-4 - -14) + (1 - 8).
3
-1 + (4 - -6) + -7 + 1
3
11 - (16 + -10 - -13)
-8
Calculate -2 + (-13 - -24) + -7.
2
4 - (8 - -2) - -4
-2
What is the value of -4 + 5 - -5 - 10?
-4
(0 - 1) + -12 + -13 + 22
-4
Evaluate 6 + 2 + -4 + -1.
3
Evaluate 6 + -9 + (7 - (1 + -1)).
4
What is the value of -2 + 17 + (-3 - 5)?
7
Calculate -4 + 0 + (3 - 2).
-3
What is the value of -10 - (2 - 11) - 1?
-2
What is (9 - 1 - 3) + 19 + -25?
-1
Evaluate 1 + -1 + -13 + 10.
-3
What is the value of -9 + (3 - -2 - (6 + -4))?
-6
What is 4 + 1 + (-23 - -6) + 11?
-1
41 + -43 + (-3 - -2) + -3
-6
What is -4 - (3 + (4 + -5 - 6))?
0
9 + -7 + (5 - 2) - 4
1
Evaluate -9 - (14 - 13 - (-1 + 6)).
-5
-8 + 0 + -8 + 11
-5
Calculate -3 - (-20 + 7 - -3) - 17.
-10
What is 0 - -1 - (-2 - -1) - 0?
2
What is the value of (1 - -1) + (-21 - -24)?
5
Calculate -4 + (12 - (3 + -4)).
9
Evaluate (-3 - -5) + -19 + 6 - -6.
-5
-10 + (-1 - -5 - -2)
-4
Calculate -9 - (-3 - (6 + -4)) - -5.
1
What is the value of 6 + -3 - (1 + -3 + 0)?
5
What is (3 - -1) + (-8 - -5)?
1
Calculate (-3 + 1 - 2) + -2 + 2.
-4
What is 9 + -4 - ((4 - 8) + 4)?
5
7 - 3 - (0 - -3)
1
Evaluate 0 + 7 + 0 + -6.
1
3 + (1 - (6 + -4)) - 3
-1
4 - (8 - 3) - -4
3
Evaluate 1 - 0 - (3 - -2) - 1.
-5
What is 2 + 1 + -8 + 4?
-1
Evaluate 31 - 35 - (-1 - -1).
-4
What is 5 + -5 - (7 - (2 + 4))?
-1
Evaluate (0 - (1 - 16)) + -22.
-7
What is the value of -2 + 4 - (-1 + -1 + 5)?
-1
Evaluate 10 + -12 + -9 + 14.
3
Evaluate 16 + -14 + (4 - 1).
5
Evaluate -2 - -2 - 0 - (-38 - -43).
-5
What is 4 + -8 + 1 + 1?
-2
Evaluate (17 - -2 - 9) + -8.
2
What is the value of 4 + 1 - (-2 + -2 + 7)?
2
What is 1 + (-6 - -1) + 0 + -1?
-5
-4 + (0 + 2 - -2) - 1
-1
Calculate -6 + -12 + 11 - (2 + -10).
1
What is the value of -12 - (-25 + 9 - -13)?
-9
-3 + 6 + 0 + 2
5
(-13 - -7 - 0 - -5) + -7
-8
4 - ((0 - (-6 + 4)) + 3)
-1
Calculate -2 - (0 - (-2 - -5) - -3).
-2
What is the value o | {
"pile_set_name": "DM Mathematics"
} |
106
0.046148 * 5
0.23074
4.15*194
805.1
1.61*121
194.81
What is 8111 times -28?
-227108
151 times 54
8154
What is the product of 4 and 0.0479?
0.1916
What is -4.5409 times -4?
18.1636
115670 times 0.13
15037.1
Product of 15 and 1.5576.
23.364
-0.01 * 2.04607
-0.0204607
Product of -525.6 and 19.
-9986.4
Calculate 10*9.76.
97.6
What is 0.61 times -3144?
-1917.84
Work out -165200 * -0.3.
49560
Calculate 18375.1*-2.
-36750.2
Product of 4 and 148812.
595248
Product of -82 and 478.
-39196
Product of 59 and 62.5.
3687.5
What is 0.04 times 57.022?
2.28088
Product of -2.3 and 1.811.
-4.1653
Work out -18 * -7710.
138780
Calculate -1*-112197.
112197
0.11 * 41993
4619.23
Work out -14732 * 0.03.
-441.96
-0.4249901*4
-1.6999604
6.5 times 5.53
35.945
Work out 1.0729 * 1.
1.0729
0.19 * 3647
692.93
Work out 82523 * 0.37.
30533.51
Work out 19 * 29.625.
562.875
Work out 19.088 * -110.
-2099.68
What is -12 times 2404?
-28848
Calculate -2*-51343.
102686
-0.5 times 372997
-186498.5
0.0147*2184
32.1048
Calculate 965*4274.
4124410
What is -12 times 212937?
-2555244
Work out -47965 * 2.
-95930
Product of -1137 and 0.178.
-202.386
Multiply -5058 and -0.11.
556.38
Multiply 3 and -0.441036.
-1.323108
0.29 * -0.05253
-0.0152337
Work out 0.4 * 36.341.
14.5364
Product of 1.488 and 3.4.
5.0592
0.89 * -1377
-1225.53
-0.4 times 0.82271
-0.329084
0.3*-9361.98
-2808.594
4*1.0968
4.3872
Calculate 0.3*-42109.
-12632.7
-1.2839 * 0.0245
-0.03145555
What is -39.89 times -0.09?
3.5901
Work out 3 * -31.49.
-94.47
Multiply 0.04 and -4449.
-177.96
0.5*-39854
-19927
0.4294 * -0.02
-0.008588
-5 times -4372
21860
What is the product of -28.3 and 0.04?
-1.132
1044738*4
4178952
Calculate -0.154*-6492.
999.768
-0.1*-4990
499
-1.392*0.01
-0.01392
-1*1.5431
-1.5431
Multiply 33884 and 11.
372724
3.1 times -69
-213.9
Work out 68.8 * -323.
-22222.4
Work out 57177 * -2.
-114354
Multiply 18277 and 1.8.
32898.6
1314 * 473
621522
Product of -25 and 55.
-1375
Calculate 63.1*-35.
-2208.5
Product of -0.7 and 0.014025.
-0.0098175
Multiply -6 and 30938.
-185628
Work out -1420788 * 0.
0
1.084 times 12.9
13.9836
What is -3342 times 380?
-1269960
What is the product of -0.07 and 78785?
-5514.95
Calculate -0.3*-0.3333.
0.09999
Product of -19 and -4315.
81985
176948 * -4
-707792
What is 3 times 8356?
25068
What is 2.4256 times 1.6?
3.88096
Product of -0.27 and 1160.
-313.2
-597 times 39
-23283
What is the product of 0.3 and -51323?
-15396.9
41*1.5617
64.0297
446269 times 5
2231345
Product of 0.3 and -6556.65.
-1966.995
Work out 3540 * 301.
1065540
Work out -99.63 * -0.023.
2.29149
-6*2155
-12930
Product of 6 and -0.166.
-0.996
Product of 0.3 and -22528.5.
-6758.55
Work out -0.04576 * 11.8.
-0.539968
-7205319 * 0.1
-720531.9
What is -1622.6 times 8?
-12980.8
196.9 times 2399
472363.1
Calculate -54797*-28.
1534316
Calculate 683.1*-7.
-4781.7
What is 1.5809 times -0.76?
-1.201484
Product of 2915.4 and -0.1.
-291.54
-5*-8114
40570
44888 times 22
987536
88 * -47.7
-4197.6
Work out 2541.22 * 5.
12706.1
What is 0.6 times 143.753?
86.2518
Work out -3517 * -2.1.
7385.7
43.51 times -3
-130.53
-0.2*-2.1602
0.43204
Multiply -4 and 5012.
-20048
Calculate -86*2951.
-253786
0.1 * 0.81862
0.081862
-2 times -9056
18112
1.6 times -10.149
-16.2384
-13812 times 0.5
-6906
Calculate 2.2899*-0.1.
-0.22899
-0.5*840978
-420489
What is the product of 0.14 and 120200?
16828
Calculate -1*167629.
-167629
What is the product of -4353.51 and -0.4?
1741.404
0.2016 times -97
-19.5552
Multiply 0.0606 and -8.
-0.4848
Work out -1 * -6081.
6081
Product of -0.5 and -86558.
43279
Product of -1.7 and -0.2307.
0.39219
Calculate -3.379*12.6.
-42.5754
10*-25.2778
-252.778
What is -0.235 times -16.7?
3.9245
What is -3 times 347.4?
-1042.2
0.03*-476334
-14290.02
Multiply -2384.47 and 0.2.
-476.894
-30*90.99
-2729.7
-2 * 8.83
-17.66
What is 1745 times 3?
5235
Product of 8 and -1.98027.
-15.84216
Work out -5 * -43388.
216940
Product of -440203 and 0.4.
-176081.2
Work out -33 * -0.149.
4.917
Multiply 0.2 and 9447.
1889.4
-18.371*-3
55.113
-4 * 14.022
-56.088
-256215*0.1
-25621.5
-0.3 times 18647
-5594.1
What is the product of 1.97 and 3?
5.91
Multiply -0.02653 and -22.
0.58366
Calculate 1*156981.
156981
-2.35141*-8
18.81128
Product of -320687 and 3.
-962061
Calculate -57.84*-0.09.
5.2056
What is the product of -3.79442 and -0.6?
2.276652
0.6 times -22.614
-13.5684
-587335 * -0.2
117467
0.106*-2.1
-0.2226
Work out -0.008 * 20.96.
-0.16768
Product of 0.0298 and 0.2381.
0.00709538
Product of -0.0205 and -18.
0.369
0.97*-91
-88.27
Product of -0.9 and -0.028711.
0.0258399
2*1.592
3.184
-8 times 13770
-110160
Calculate -2525*11.
-27775
Calculate -134*315.
-42210
Product of -6600 and 7.
-46200
2473 * -0.415
-1026.295
-0.5 times -8854
4427
What is the product of 0.32 and -69?
-22.08
Product of 0.001 and 11.3.
0.0113
688528 times -0.2
-137705.6
16200 times -162
-2624400
Product of -4 and -1.55755.
6.2302
Product of 0.21 and -0.082208.
-0.01726368
What is the product of -36689 and 0.3?
-11006.7
-881 times 3
-2643
What is the product of 4.9 and -0.37035?
-1.814715
-2.887*21
-60.627
Multiply -1876 and 1.71.
-3207.96
Work out 3 * 123.36.
370.08
Calculate -11*0.08407.
-0.92477
-31.92 times 27
-861.84
Multiply 22.3 and -0.7794.
-17.38062
What is the product of -1945026 and 1?
-1945026
Multiply 0.3 and 17.0222.
5.10666
0.9518*-1
-0.9518
Product of -6.9613 and -0.4.
2.78452
Work out 1 * -566303.
-566303
-0.045 * 16128
-725.76
What is the product of 27259 and -2.3?
-62695.7
What is -53866 times -0.01?
538.66
-5.4 times 3.44
-18.576
Multiply -823521 and -1.
823521
Multiply 315 and -176.3.
-55534.5
Calculate 6*494.
2964
Calculate 0.1*-17.53.
-1.753
Product of -0.2 and -12795.
2559
Multiply -1.104 and 12.
-13.248
-182.8 * -0.05
9.14
What is 0.1 times 182.775?
18.2775
Product of -0.22276 and -7.5.
1.6707
-0.558*48
-26.784
Multiply 3 and -49813.
-149439
Product of -7 and -44832.
313824
1.27946 * -0.4
-0.511784
What is the product of 0.31722 and -0.4?
-0.126888
Calculate -6*-3.9277.
23.5662
Product of -4 and 1.6366.
-6.5464
Multiply 3 and 0.0107067.
0.0321201
What is the product of 35393 and 1?
35393
2803264 times 5
14016320
95179 * -0.6
-57107.4
-9656 * -0.01
96.56
What is -158 times -155?
24490
Multiply -795 and 2379.
-1891305
Calculate -0.2*-44656.
8931.2
0.1691 * 37
6.2567
-4 * -755
3020
81 * 197
15957
Calculate -96*0.1636.
-15.7056
Work out -981.7 * -120.
117804
Multiply -0.1786 and -79.
14.1094
Product of 276 and -60.
-16560
Work out 11.02 * 0.128.
1.41056
What is the product of 71.42 and -1.4?
-99.988
286.1*144
41198.4
Product of 1284.1 and 4.4.
5650.04
10*-195.846
-1958.46
What is 18 times -69?
-1242
Product of 3.065 and -4.
-12.26
What is 4 times -35258?
-141032
Calculate 754.69*-0.1.
-75.469
1488 times 834
1240992
What is the product of -0.014 and -1182?
16.548
What is 23 times 7542?
173466
Work out -3536 * -21.
74256
What is the product of -220 and -9.7?
2134
Multiply -51.6 and -3.197.
164.9652
Multiply 204 and 629.
128316
What is -0.6 times -30369?
18221.4
Calculate 62*-38713.
-2400206
Multiply -0.023 and 3.673.
-0.084479
What is -1671.59 times -0.4?
668.636
4.51*-0.008
-0.03608
Work out -235871 * -1.
235871
13 times -5561
-72293
Multiply -0.1 and -40.54.
4.054
What is 51.2 times 30?
1536
What is -0.0097 times -2.828?
0.0274316
Work out 2276 * -0.14.
-318.64
0.42 * 2.2827
0.958734
Product of 44.098 and 5.
220.49
Work out 5 * -0.080735.
-0.403675
Product of -7.51357 and -5.
37.56785
Work out 0.12 * 584.
70.08
-1*-221475
221475
Work out 5 * 10153.2.
50766
-246.9*-2.7
666.63
Work out 0.032 * -354.
-11.328
Product of -1025 and -1618.
1658450
Calculate 0.46*-0.3717.
-0.170982
What is the product of 6436 and -0.05?
-321.8
4.08*-4
-16.32
13883*16
222128
35.23486*2
70.46972
Work out -1.18931 * 11.
-13.08241
0.7 times -37812
-26468.4
Product of -101525 and -3.
304575
Multiply 2944 and -497.
-1463168
Calculate -591*0.0824.
-48.6984
-15898 times 2
-31796
Calculate -1439*200.8.
-288951.2
Multiply -5.00868 and 0.
0
Work out -2 * 6.8334.
-13.6668
-342 * 1071
-366282
Calculate 281*-0.152.
-42.712
Product of -0.2 and 103838.
-20767.6
2.9831 * 0
0
Multiply -6 and 139258.
-835548
What is the product of 0.09 and 2305?
207.45
-0.3 times 21740
-6522
Multiply -127 and 2874.
-364998
What | {
"pile_set_name": "DM Mathematics"
} |
1, y in decreasing order.
y, i, -0.1, -2/7
Let f(a) = 88*a**2 + 1849*a + 16. Let c be f(-21). Put -7, -1, c, 3, 4 in ascending order.
-7, c, -1, 3, 4
Let a = 599 + -602. Sort a, -1/3, 0.2, 0.1 in increasing order.
a, -1/3, 0.1, 0.2
Let u = 1637 + -1636.84. Suppose 8*h = 3*h - 25. Put 5, -0.1, h, u in ascending order.
h, -0.1, u, 5
Let x = 47 + -29. Suppose 5*d = x + 12. Suppose 76*h - 63*h + 39 = 0. Sort d, 2, h in decreasing order.
d, 2, h
Let n = 86 - 81. Suppose 0 = n*r - 4 + 264. Let c = -55 - r. Sort -1, 48, c, -5 in increasing order.
-5, c, -1, 48
Let s = -292917/11 - -26629. Put -33, -34, s in increasing order.
-34, -33, s
Let w = -3 - -8. Let k(o) = o**3 + 7*o**2 - 40*o - 236. Let v be k(-8). Suppose 0 = -2*p - 4*n + 8, n - 1 = -p - 0. Put p, w, v in ascending order.
p, w, v
Let h(p) = -p**2 - p - 7. Let y be h(0). Suppose 0 = 56*b - 61*b + 25. Put b, -5, y in decreasing order.
b, -5, y
Suppose -64*v + 9*v + 440 = 0. Sort -2, v, 1, -4 in ascending order.
-4, -2, 1, v
Suppose 28 = -52*j + 48*j. Sort j, -48, -2 in ascending order.
-48, j, -2
Suppose 136 = 10*q - 504. Suppose 68*j - q*j - 40 = 0. Sort j, 2, -13.
-13, 2, j
Let r = 943.89 - 948. Let o = r + 1.11. Let m = 0.3 + -0.5. Sort o, m, 4/3 in ascending order.
o, m, 4/3
Let p(z) = -337*z + 1027. Let c be p(3). Put c, 0, -3 in ascending order.
-3, 0, c
Let r be 4/62 + (-96234)/3999. Sort -1/4, 2, -1/3, r in decreasing order.
2, -1/4, -1/3, r
Let l = 8 - 13. Let p be 7/((-4)/20 - (-20)/(-25)). Sort l, 5, p in decreasing order.
5, l, p
Let h = 53 - 52.5. Let z = 283.4 - 283.9. Sort -2/9, h, z, 6 in increasing order.
z, -2/9, h, 6
Let k(f) = f**2 - 8*f + 3. Let a be k(7). Suppose -61*o = -82*o - 105. Put o, a, -7, 3 in descending order.
3, a, o, -7
Let k = 8.7 + -9. Let b = k - -0.6. Let g = 727 + -726. Sort g, -0.1, b in descending order.
g, b, -0.1
Let z = -1/557 + 2231/1671. Put -5, 2/7, 3/7, z, -2/3 in decreasing order.
z, 3/7, 2/7, -2/3, -5
Let b = -9.8 + 3.8. Let d = -5538.2 + 5538. Put -0.5, d, b, -3 in descending order.
d, -0.5, -3, b
Let z = 217.3 - 215.3. Put z, -1656, -2/15 in decreasing order.
z, -2/15, -1656
Let m be (-51)/(-85) - (-82)/(-170). Let u = -43.5 + 43. Sort -2/7, m, -2/15, u in descending order.
m, -2/15, -2/7, u
Let k = -369.4 - -368.4. Put k, 7, 0.3, -0.4 in increasing order.
k, -0.4, 0.3, 7
Let u = 4 - 0. Suppose -u*m = -3*z - 1 + 24, 1 = -z - 3*m. Suppose 4*q + 1 = 5*o - z, -12 = 3*q. Sort 3, -5, o.
-5, o, 3
Let m = -236.49 + 238.49. Put 1/7, 134, m in ascending order.
1/7, m, 134
Let z = 0 - -4. Let f = 0.375 + -0.675. Put -2/7, f, -0.2, z in descending order.
z, -0.2, -2/7, f
Let r = -2124 + 2214. Suppose 2*p + 5 - 1 = -h, 0 = -4*h - 5*p - 16. Sort h, r, 4 in increasing order.
h, 4, r
Let u = -36.05 + 32. Let z = u + 4. Let k = 3266 + -3265. Put k, 0.1, z in increasing order.
z, 0.1, k
Let p = -0.068 - 0.014. Let k = p + 0.04. Let q = k - -2.042. Put -0.5, -1, q, 0.1 in ascending order.
-1, -0.5, 0.1, q
Let m(x) = -x**3 + 2*x**2 + 8*x + 4. Let b be m(4). Let t be b - 30/((-20)/(-4)). Sort t, 31, 4, -1/4 in decreasing order.
31, 4, -1/4, t
Let w be 10*((-18)/(-5) + -4) + 6. Let g = 47.67 - 47.7. Sort -1, g, w, -0.5 in increasing order.
-1, -0.5, g, w
Suppose 32*h + 22*h + 915 = -129*h. Sort h, -49, 7 in decreasing order.
7, h, -49
Let u = 307 - -132. Let w = u + -1319/3. Let d be (10/(-8))/((-14)/8). Put d, w, 0 in descending order.
d, 0, w
Let n(b) = -b**3 - 10*b**2 - 14*b - 16. Let g be n(-9). Let u = g - -2. Let j = u - 29. Put -12, 5, j, -2 in descending order.
5, j, -2, -12
Suppose -o - 5*j = -0*o - 53, 5*o - 145 = 5*j. Let i be (20/(-9) - -2) + 68/(-18). Suppose -2574*z = -2565*z + 9. Put 1, z, o, i in decreasing order.
o, 1, z, i
Suppose -27 = -3*b + 5*a - a, 0 = 2*b - 2*a - 14. Sort -5, -7, b, 2 in descending order.
2, b, -5, -7
Suppose 0 = -10*k + 1001 - 1031. Let a = -21766/35 + 627. Let r = -27/5 + a. Sort r, k, -4, -5 in decreasing order.
r, k, -4, -5
Let o(p) = p**2 - 7*p - 5. Let b be o(7). Suppose -54*j + 20*j + 9690 = 0. Let u = -280 + j. Sort 4, 2, u, b.
b, 2, 4, u
Let n be 5/(60/(-26))*(-1 - 5). Suppose -16 = -n*p + 23. Sort p, 2, 0, 5 in decreasing order.
5, p, 2, 0
Let t be (-3 - -4)/((-1)/(-1)). Let p = 2 - 0. Let j be ((-2)/34 + (-2160)/272)*(-3)/132. Sort p, j, t in increasing order.
j, t, p
Let i = 9920 + -9921. Put i, -2, 132, -5, -3 in increasing order.
-5, -3, -2, i, 132
Let u be (2/40)/(((-5)/(-24))/(260/(-468))). Put 2, -7/9, u, 0.3, 0.5 in increasing order.
-7/9, u, 0.3, 0.5, 2
Let f = 2024 + -2023. Sort -4, -9, f in ascending order.
-9, -4, f
Let q = -5/2 - -17/6. Let z = -5.4 + 7. Let b = 1.3 - z. Put b, q, -1 in decreasing order.
q, b, -1
Let r be ((-3)/(-261))/((-10)/20). Let y = -362/609 - r. Let k = -5 - -6. Put 0.4, k, y in decreasing order.
k, 0.4, y
Let f = 4 + -2. Let d be (-3)/6*f - 4. Let j = -13147 + 13146. Put j, d, -4, -3 in increasing order.
d, -4, -3, j
Let b = -0.01 + 0.05. Let x = 142 - 129. Suppose x*s + 7 = 3*g + 11*s, 0 = 3*g + 5*s - 35. Sort b, -5, g in ascending order.
-5, b, g
Let g = 3779 + -3778. Put g, 2/5, 4, 24, -0.4 in descending order.
24, 4, g, 2/5, -0.4
Let l = 143 + -139. Suppose 5*n - 4 = -o, -l*n - 88*o + 20 = -83*o. Put -185, 4, n in ascending order.
-185, n, 4
Let q = 16 + -17. Suppose 2*x - 18 = -2*a, -37*a + 2*x + 24 = -33*a. Sort -3, a, q, 4 in descending order.
a, 4, q, -3
Let f = 218/5 + -43. Let y = 34/13 - 271/39. Let p = 29/6 + y. Put 23, f, p in decreasing order.
23, f, p
Suppose 6*a - 2*r + 14 = 11*a, -2*r + 14 = a. Let d = 13 + -16. Sort d, a, 1/12, 1 in ascending order.
d, a, 1/12, 1
Suppose -5*v + 3*i = 21, v - 4*i = -7*i + 3. Suppose 4 = l + 2*b - 24, -20 = -5*b. Let z be ((-25)/l)/((-6)/24). Put z, 4, v in ascending order.
v, 4, z
Suppose 147*j - 151*j = -20, -5*j + 40 = -3*u. Suppose -3*w - 4*m - 23 = -4*w, 0 = -4*w - 2*m + 128. Suppose 4*v + 5 = -w. Sort 5, v, u in ascending order.
v, u, 5
Let q be 20/((-9)/21 - (-92)/84). Suppose 5*i - q = -g, -4*g - 4*i = g - 45. Suppose -g*a + 5 = -5. Sort a, -3, 0, 1 in ascending order.
-3, 0, 1, a
Let k = -3.6 + -11. Let s = k - -6.8. Let w = s - -7.7. Put -1/3, -3, 2, w in descending order.
2, w, -1/3, -3
Let b = 5.95 - -0.05. Let u = 3290.111 - 3292. Let d = -0.111 + u. Sort d, b, 5/3, -1/4 in increasing order.
d, -1/4, 5/3, b
Let x = 32 + -29. Let i(p) = 3*p**2 - 8*p + 10. Let m(c) = -c**2 - 1. Let u(g) = i(g) + 4*m(g). Let d be u(-9). Sort 6/7, x, d in ascending order.
d, 6/7, x
Suppose 10*y - 1388 = -1298. Put y, 1/2, 0.05 in decreasing order.
y, 1/2, 0.05
Suppose -212*i - 48*i = 23*i - 2264. Sort -1, -2, -4, 2/5, i in descending order.
i, 2/5, -1, -2, -4
Let b be (12/9)/((-1)/(-3)). Let h = -19677 + 19673. Sort -10, -1, b, h.
-10, h, -1, b
Let y be (-18)/(-4)*4/6. Suppose -10 = 5*v + 5*w, y*w = 4*w. Suppose -801*r = -13041 - 6697 + 2116. Sort v, -1/2, 1/10, r in increasing order.
v, -1/2, 1/10, r
Let g be (-2)/5*-20*(-8)/(-16). Suppose 3*s - g*f = -7*f, 0 = -f + 2. Sort -5, s, 1, 2.
-5, s, 1, 2
Let u(g) = g**3 - 9*g**2 - 2*g + 28. Let c be u(9). Suppose 33*y - 35*y + c = 0. Put -14, y, -2 in ascending order.
-14, -2, y
Let k = -18438 - -18433. Put k, 1, 155 in decreasing order.
155, 1, k
Suppose 5*p = -2*r + 3*r - 392, -4*p - r = 310. Put -9, 1, p in descending order.
1, -9, p
Let k be (-2 + (-9)/(-6))*6. Suppose -5*o = -0*o - 825. Let c be -5*(121/o + (-2)/6). Sort -1, c, k, 0 in decreasing order.
0, -1, c, k
Suppose 19*m = 338 - 15. Suppose 5*r + m*r - r = 0. Sort r, 6, -1, 3.
-1, r, 3, 6
Suppose -2*t = -5*i - 9, 0 = 2*i + 4*t + 26 - 8. Let m be ((-4)/12)/((-1)/i). Sort m, 28, 4 in descending order.
28, 4, m
Let c = -4617 - -4617. Sort 1/11, 24, -0.1, c in decreasing order.
24, 1/11, c, -0.1
Let i be (23 - 7)/((-4)/10). Let q = -734 - -733.5. Sort 2, q, 1/3, i in descending order.
2, 1/3, q, i
Let z = 302 - 297. Let h = -37 + 39. Sort h, -0.5, z in decreasing order.
z, h, -0.5
Suppose 5*j + 5*r - 10 = 0, 222*j - 224*j + 4*r - 2 = 0. Put 2, j, 124, -4 in increasing order.
-4, j, 2, 124
Suppose -17*z + 14*z = 0. Suppose -g - 4*g - 3*d + 149 = 0, z = 5*g - 4*d - 163. Let y = -26 + g. Put y, -1, 16 in ascending order.
-1, y, 16
Let f be 1/3 - 4/3. Let l = -371 + 366.53. Let c = 0.47 + l. Put f, c, -1/6, -1/5 in decreasing orde | {
"pile_set_name": "DM Mathematics"
} |
/25
Is -719/4 at most -1/3?
True
Is -126 at least -126?
True
Which is smaller: -0.4 or 0.0594?
-0.4
Which is smaller: 0 or 2/15?
0
Which is greater: 1 or -20/117?
1
Which is greater: -1 or -2/10471?
-2/10471
Which is bigger: -1/23 or 1?
1
Which is smaller: 0 or 80?
0
Is -909 at least as big as -911?
True
Which is smaller: -9/4 or -3?
-3
Which is smaller: 3/5 or -25/3?
-25/3
Which is bigger: -1 or -35/61?
-35/61
Which is smaller: 0 or 16/15?
0
Is -915 not equal to -913?
True
Is 0.5125 greater than or equal to 2/7?
True
Is 2916 at most 2913?
False
Which is smaller: -496 or 11?
-496
Which is smaller: -100 or 10?
-100
Which is smaller: 1/41961 or 0?
0
Does -1 = 16/6897?
False
Which is smaller: 0.2035 or 2?
0.2035
Is -201 > -200?
False
Is -303 equal to -29/2?
False
Which is bigger: 0.8 or -240?
0.8
Is 143 less than 136?
False
Are -24 and -0.1 unequal?
True
Is 1 greater than or equal to -1/361?
True
Which is bigger: -6 or -10?
-6
Which is greater: -41 or -39?
-39
Are 19 and 88/5 nonequal?
True
Which is smaller: 1864/11 or 170?
1864/11
Is 7 smaller than -169?
False
Is -5/1367 equal to 0?
False
Is -100/23 at most as big as -5?
False
Is -1 < 2/32683?
True
Which is smaller: 25/53 or 0?
0
Does 19/2 = 9?
False
Which is smaller: -7 or -12.6?
-12.6
Do -2751/5 and -550 have the same value?
False
Which is bigger: -145 or -581/4?
-145
Which is bigger: 1/2 or -0.08?
1/2
Which is bigger: -14502 or 0?
0
Which is greater: 86 or 693/8?
693/8
Which is bigger: 0 or 13/68?
13/68
Is -2 at least 2.782?
False
Which is greater: -20 or -0.14?
-0.14
Which is smaller: -1 or -39/527?
-1
Is -11 < -3?
True
Is 1 <= 11/48?
False
Which is greater: -1.039 or 0.1?
0.1
Is -1/3 greater than -882?
True
Which is bigger: 1/21 or -22.3?
1/21
Which is smaller: -4938 or -4939?
-4939
Which is bigger: 317 or -2/3?
317
Which is smaller: 0.124 or 1?
0.124
Which is smaller: 3/314 or 0?
0
Is 3370 bigger than 3367?
True
Which is smaller: 4736 or -3?
-3
Is 288 smaller than 289?
True
Are 1535 and 7671/5 unequal?
True
Is -0.1108 less than or equal to -0.1?
True
Which is bigger: -62 or -2/3?
-2/3
Which is smaller: 3.4 or -0.03?
-0.03
Is 2327 not equal to -2/11?
True
Is -104 >= -89?
False
Is -85 smaller than -83?
True
Which is bigger: 0 or 38/51?
38/51
Is -7135 at most as big as -7135?
True
Is -11/195 at least as big as 1?
False
Which is bigger: 2 or -0.113?
2
Which is greater: 309 or 308?
309
Is 1 >= -9/449?
True
Does 5 = 43?
False
Is 5/19 at most as big as 6?
True
Is 0 equal to -1/11011?
False
Which is smaller: 1 or -1/96?
-1/96
Which is greater: 94/3 or 31?
94/3
Which is bigger: -4 or -28?
-4
Is 18 < 2?
False
Which is smaller: -33 or 0.01?
-33
Which is smaller: -106 or -107?
-107
Do -8477 and -8475 have the same value?
False
Which is bigger: -11 or 0.96?
0.96
Is 3.6 > -2/7?
True
Which is smaller: 1/1828 or 0?
0
Which is smaller: -243 or -242?
-243
Is 19/24 >= 2?
False
Is -1.2 at least as big as 2/105?
False
Which is greater: -6 or 537?
537
Which is smaller: -2/3 or 15.372?
-2/3
Which is smaller: -14208 or 0.1?
-14208
Does -25 = 34?
False
Which is greater: -9/22 or -1?
-9/22
Which is greater: -89/10 or -8?
-8
Which is bigger: 572 or 573?
573
Which is smaller: -0.7 or -1057?
-1057
Which is smaller: 24 or 35?
24
Is -36 less than 0.3?
True
Which is bigger: 964 or 16?
964
Which is bigger: -471 or -472?
-471
Is -680 equal to -681?
False
Is -1 less than -5.42?
False
Which is smaller: -1/81 or 1?
-1/81
Is -0.1 not equal to 2/2775?
True
Is 468 < 1/3?
False
Do 0 and 920/3 have different values?
True
Is -13 at least -179?
True
Is -853 greater than -849?
False
Which is smaller: 2/6275 or 1?
2/6275
Which is greater: 789/62 or 14?
14
Which is bigger: -4583/3 or -1528?
-4583/3
Which is bigger: -556 or -555?
-555
Which is smaller: 0 or -1/471?
-1/471
Which is bigger: -14 or -12?
-12
Is 0.4115 at least 0.4?
True
Which is greater: 0 or 1/447?
1/447
Is -186 greater than -369/2?
False
Is 2/5 equal to -6462?
False
Is 1.2 >= 2.14?
False
Which is smaller: -1/4 or 101.57?
-1/4
Is -42.5 bigger than -0.1?
False
Are 0 and 1074/13 equal?
False
Which is bigger: -0.0297 or 2?
2
Is 42/11 at least as big as 0.4?
True
Which is smaller: -0.08 or -28?
-28
Is 2/3 > 88?
False
Is 152 equal to 51?
False
Which is greater: 3 or 26/9?
3
Which is greater: 80 or 2/9?
80
Is -1 < -1/151?
True
Is -386 <= -403?
False
Is 7 equal to 603?
False
Which is bigger: -24 or -0.23?
-0.23
Is -5/32 not equal to 0?
True
Which is greater: 84/1249 or 1?
1
Which is bigger: -4/7 or 48?
48
Which is smaller: -5 or 44/3?
-5
Is 325 greater than or equal to 325?
True
Is -6759/8 smaller than -846?
False
Is 0.4 greater than 8/9?
False
Is 79 bigger than 77?
True
Is -26/219 greater than -1?
True
Which is bigger: 1 or 18/3055?
1
Which is smaller: -5/4 or -60?
-60
Is 1 greater than or equal to 182/15?
False
Which is smaller: -1/36 or 2/5?
-1/36
Is 25294 less than or equal to 25294?
True
Which is smaller: 5 or -17/3?
-17/3
Which is bigger: 1 or -147?
1
Is 8/11 at most -78?
False
Which is bigger: -497 or -496?
-496
Which is smaller: -0.4 or -37?
-37
Which is bigger: 80/27 or -1/3?
80/27
Is 3 < 472.9?
True
Which is greater: -0.1 or -37/14?
-0.1
Does 0 = 9/6208?
False
Which is smaller: -1 or 26/3?
-1
Does -1 = -0.1599?
False
Which is smaller: 1728 or -1?
-1
Is 1/7 < -1?
False
Is 8256 less than 33021/4?
False
Is 497/3 >= 166?
False
Is -1 equal to 7/27?
False
Is -7.66 greater than or equal to 18?
False
Do 794 and 3175/4 have the same value?
False
Is -39 <= -40?
False
Which is greater: -2/6673 or -1?
-2/6673
Is 116 at least 103?
True
Which is greater: -1 or 3/9689?
3/9689
Is -1146 at least as big as -1147?
True
Which is smaller: -0.0539 or 55?
-0.0539
Is 0.0141 less than or equal to -0.6?
False
Which is smaller: -1885 or -1884?
-1885
Which is greater: 165 or 659/4?
165
Is -314 not equal to -310?
True
Which is bigger: 29 or 58?
58
Is -174 less than 2?
True
Which is smaller: -16 or -56?
-56
Which is greater: -3/73 or 1?
1
Which is bigger: 1/4 or -16967?
1/4
Which is bigger: -3 or -6?
-3
Are 1 and 3/1390 nonequal?
True
Which is smaller: 1 or -1/917?
-1/917
Which is bigger: -0.09 or -3.5?
-0.09
Is 71 equal to 75?
False
Which is smaller: 1 or 0.0283?
0.0283
Which is smaller: 61/17 or 4?
61/17
Is 18.9 >= -2/3?
True
Is -5 at most as big as -22.5?
False
Is -5 <= -21?
False
Is 5/61 at most 1?
True
Is 41/6 < -1?
False
Which is greater: -40 or -436/11?
-436/11
Is -11/14 equal to 0?
False
Is 8/23 != 1?
True
Which is greater: -4 or -661?
-4
Is 2/5747 <= 0?
False
Are -119 and 1/3 equal?
False
Which is smaller: -452 or -458?
-458
Which is smaller: -126 or -499/4?
-126
Which is greater: -29430 or 1/4?
1/4
Is -1286 greater than or equal to -3857/3?
False
Which is bigger: -9/13 or -140?
-9/13
Which is smaller: 207 or 205?
205
Which is bigger: -2/5 or 0?
0
Which is smaller: -79 or 0.17?
-79
Is -1/3 at most 3221?
True
Do -1269 and -1 have different values?
True
Which is smaller: 64 or 72?
64
Which is smaller: -1 or -11/53?
-1
Which is greater: 12006 or 12010?
12010
Which is greater: -1896 or -1890?
-1890
Is -505 bigger than -504?
False
Is 5574 at least 5574?
True
Which is bigger: -17.3 or 0?
0
Which is bigger: 416 or 0.1?
416
Which is smaller: 2/523 or 1?
2/523
Is 2382 at most as big as 2379?
False
Which is bigger: 71 or 2/13?
71
Which is greater: -617 or 26?
26
Is 143/3 equal to 48?
False
Which is smaller: 47/3 or 15?
15
Is -0.1 smaller than -12/4979?
True
Which is greater: 358 or 363?
363
Which is bigger: -1128 or -1127?
-1127
Is 1/4 greater than 10.4?
False
Which is smaller: 1 or 786?
1
Which is bigger: -574 or 4?
4
Which is greater: 350 or 1/4?
350
Is -1 not equal to -223?
True
Which is greater: -2 or -43/17?
-2
Is -4953 greater than or equal to -4954?
True
Is -1302 >= -1302?
True
Which is smaller: -5 or 812?
-5
Is 4118/7 not equal to 0.1?
True
Which is smaller: -7 or 1?
-7
Which is bigger: 89 or 88?
89
Which is smaller: -1 or 1/244?
-1
Is 5/2 < 43/13?
True
Is -4087 less than or equal to -4087?
True
Is -7/611 less than or equal to -1?
False
Which is smaller: 19553 or 19552?
19552
Which is bigger: -2/7 or 0.193?
0.193
Which is smaller: 36 or 30?
30
Which is smaller: 6/7 or 2?
6/7
Is 7 equal to 43?
False
Which is smaller: -2681 or 0?
-2681
Which is smaller: -400 or 8?
-400
Which is greater: 0. | {
"pile_set_name": "DM Mathematics"
} |
What are the prime factors of w?
3
Let l be 1/((-13)/7 - -2). Suppose -a + l*o - 18 = 3*o, 3*a - 4*o = -30. List the prime factors of (a/15)/(2/(-30)).
2, 3
Let y(x) = 3*x. Let v be y(1). Suppose 13 = -v*s - 2, -5*t + s = -120. Suppose 5*z = t + 7. What are the prime factors of z?
2, 3
Let v(b) = b**3 + 6*b**2 - 8 - 5*b + 3*b + 0*b**3. Let a be v(-6). Suppose -6 = -f + u, 0*u - a*u = -3*f + 13. List the prime factors of f.
11
Let o = 476 + -261. What are the prime factors of o?
5, 43
Suppose 0*q = -4*q. Suppose k - 13 + 6 = q. List the prime factors of k.
7
Suppose p - 3*p = 0. Suppose 4*o = 3*d - 55, -d - 2*d + 2*o + 53 = p. What are the prime factors of d?
17
Suppose 15*j + 138 = 16*j. What are the prime factors of j?
2, 3, 23
Suppose -225 - 63 = -3*c. Suppose 5*j - c = 59. What are the prime factors of j?
31
Let i(z) = 10*z. What are the prime factors of i(7)?
2, 5, 7
Let c be 1/(-2) - 11/(-2). Let u(g) = -g**2 - 7*g - 6. Let q be u(-5). Suppose q*n - 2*n - 3 = -c*j, 2*n - 11 = 3*j. What are the prime factors of n?
2
Let b = 10 + -5. Suppose 4*x - 2*p = 32, b*p + 16 + 16 = 4*x. Suppose 5*z - x - 9 = -2*d, 5*d - z - 83 = 0. What are the prime factors of d?
2
List the prime factors of (-25 + 5)/(3/(30/(-4))).
2, 5
Suppose 4*x - 10 = -x. Suppose -4*c + b = c - 66, -3*b - 29 = -x*c. What are the prime factors of c?
13
Let v(j) = -j**3 - 5*j**2 - j - 4. Let g be v(-5). Suppose -24 = -5*y + g. List the prime factors of y.
5
Suppose -11*m + 6 = -8*m. List the prime factors of m*-1*(-76)/8.
19
List the prime factors of (-2 + 51 - -1)*2.
2, 5
Let n(i) = -3*i**2 - 9*i + 2. Let b(r) = -17*r - 3 - 5*r**2 + 3 + 3. Let j(c) = -4*b(c) + 7*n(c). List the prime factors of j(5).
2
Suppose 9*x - 8*x - 3 = 0. What are the prime factors of (2/x)/((-1)/(-6))?
2
Suppose 4*w + 68 = 4*p, -6 = -3*p - 3*w + 21. List the prime factors of p.
13
What are the prime factors of (-32)/(-6) + (-12)/(-18)?
2, 3
Let i(u) = 3*u**3 - u + 1. Let r be i(1). Suppose r*v - v = 4. Suppose -v*m + 5*m = 54. What are the prime factors of m?
2, 3
What are the prime factors of 30/(-105) - (-443)/14*2?
3, 7
Let i = -10 - -6. List the prime factors of (0 - -1)/(i/(-32)).
2
What are the prime factors of -3 + (6/(-4))/(3/(-176))?
5, 17
Let w(r) = 19*r. Let p be w(2). Let l(h) = h**2 + 21*h - 8. Let o be l(-22). Suppose 4*f = -o + p. List the prime factors of f.
2, 3
Let j(i) = -4*i - 2. Let b(h) = -h**3 - 3*h**2 + 2*h + 4. Let u be b(-3). What are the prime factors of j(u)?
2, 3
Let y(m) = m**2 - 3*m + 1. Let g(c) = 4*c**2 - 9*c + 3. Let d(x) = 2*g(x) - 7*y(x). Let p be d(-3). Let q = 10 - p. List the prime factors of q.
11
Suppose -12*y + 1610 = -874. List the prime factors of y.
3, 23
Suppose d + 505 = 3*y - 3*d, 0 = -4*d - 4. What are the prime factors of y?
167
Let y = 804 - 463. List the prime factors of y.
11, 31
Suppose -3*c + 19 = -k - k, 15 = 5*c + 5*k. Suppose 0*i = -c*i. Suppose -h + 5*p = -2, -4*h + 8 = -i*p - 4*p. List the prime factors of h.
2
Let w(y) = 9*y**2. Suppose 6 - 2 = 2*q. Suppose t + 2*o = 5, 5*t + q*o - 2 = t. List the prime factors of w(t).
3
Suppose 3*n - 110 - 7 = 0. Suppose -n = -8*s + 5*s. List the prime factors of s.
13
Let w(r) = r**2 - 11*r. Let l be w(11). Suppose 0*c + 5*c - 80 = l. List the prime factors of c.
2
Suppose -i + 1 = -2. Suppose -i*y + t = -42, y + 56 = 5*y - 2*t. What are the prime factors of y?
2, 7
Let g(f) = f**2 + 18*f - 3. What are the prime factors of g(-19)?
2
Suppose -5*w - 3*g + 116 = 9, -4*g = -5*w + 79. What are the prime factors of w?
19
Suppose 2*g - 127 = -3*t, 0 = -0*t + 3*t + 3. Suppose -4*d + g = -9*d. Let h = d + 22. List the prime factors of h.
3
Suppose 1 = -2*g - 1, -g = 3*z + 142. Let r = 17 + z. List the prime factors of 1/2 + r/(-4).
2
Suppose 4*h = 3*d + 2*d + 784, 5*h + 3*d - 943 = 0. What are the prime factors of h?
191
Let y(v) be the third derivative of v**5/60 + v**4/4 + v**2. Let t be y(-6). Suppose t = -4*g + 15 + 9. What are the prime factors of g?
2, 3
Suppose 5*y = -3*w, 3*w + 5 = 2*w. What are the prime factors of 5 + 2/(-3)*y?
3
Let h(r) = r**3 - 4*r**2 + 5*r - 3. Let p be h(3). Suppose -t = -3*t - f + 4, 4*t = -4*f. Suppose t*l - 21 = p. List the prime factors of l.
2, 3
Let f(k) = -k**2 - 7*k - 6. Let q be f(-6). Let r = q + 2. Suppose l = r + 2. What are the prime factors of l?
2
Suppose 0 = -0*b + 3*b + 6. Let j(i) = 3*i**2 + 2*i - 2. List the prime factors of j(b).
2, 3
Let f be (-2)/3*(8 + 1). What are the prime factors of 4/f*180/(-8)?
3, 5
Let j be 21/4*8/2. Let n = j - 12. Suppose -r + a = -n, 0 = a + 4 - 5. List the prime factors of r.
2, 5
Suppose g = -4*g + 30. Let r = g + 2. What are the prime factors of r?
2
Let q(l) = l**2 - 3*l - 1. Let p(o) = -2*o**2 + 7*o + 3. Let m(s) = 6*p(s) + 13*q(s). List the prime factors of m(-5).
3, 5
Suppose 4*j - 4*r = -r - 72, -r + 49 = -3*j. Let c = 26 + j. What are the prime factors of c?
11
Let h(k) = -k + 13. List the prime factors of h(5).
2
Let s(p) = -p**3 - 3*p**2 - 2. Suppose 3*q = q - 8. What are the prime factors of s(q)?
2, 7
Suppose -t + 500 = 4*t. What are the prime factors of t?
2, 5
Suppose -3*b - 51 = -0*b - 3*w, b = -3*w - 21. Let q be (-4)/18 - (-68)/b. What are the prime factors of (-2 + q)/((-1)/2)?
2, 3
Let j(s) = -s + 2 - 3 + 7. What are the prime factors of j(4)?
2
Let s = 58 + -33. What are the prime factors of s?
5
Suppose 0 = -5*z - 0*z + 25. Suppose z + 6 = -b. Let y = -5 - b. What are the prime factors of y?
2, 3
Let o = -101 + 173. List the prime factors of o.
2, 3
Suppose 0 = 7*t - 10*t + 60. What are the prime factors of t?
2, 5
Suppose 0 = 3*q - 12, 20 = 5*p + 4*q - 16. Let a = -11 + 18. Suppose 5*h + 1 = 3*z + a, 27 = 5*h + p*z. What are the prime factors of h?
3
Let m(u) = -u + 10. Let b be m(7). Suppose 4*n + 3 = 11, -5*f - b*n - 24 = 0. What are the prime factors of ((-2)/f)/(3/99)?
11
Let l(d) = -4*d - 2. Suppose -4*s = -4*b - 5*s - 14, -5*b + 2*s - 24 = 0. What are the prime factors of l(b)?
2, 7
Suppose -2*t - 2*t - 4*v + 516 = 0, -t + 4*v + 139 = 0. What are the prime factors of t?
131
Let d = 8 - -1. List the prime factors of (-6 - 9/(-3)) + d.
2, 3
Let k(i) be the second derivative of i**5/20 + 3*i**4/4 - i**3/3 - 7*i**2/2 - 2*i. What are the prime factors of k(-9)?
11
Suppose -164 = 5*a - 14. Let b = 42 + a. What are the prime factors of b?
2, 3
Let v(k) = -7*k + 33. What are the prime factors of v(-11)?
2, 5, 11
Let t(s) = -5*s**3 - 2*s**2 + 2*s + 7. What are the prime factors of t(-3)?
2, 59
Let h be ((52 + 2)/3)/1. What are the prime factors of 194/h - 8/(-36)?
11
Suppose 6*q - 2*q = 16. What are the prime factors of 10/q*(-6)/(-5)?
3
Suppose 4*r = 2*c - 408, -5*r - 287 = -5*c + 708. List the prime factors of c.
2, 97
Let i(u) = 2 - 3 - 2*u - 3 + 2. What are the prime factors of i(-2)?
2
Suppose 0*z = -5*z - p - 79, -p - 64 = 4*z. Let u = z - -27. What are the prime factors of u?
2, 3
Suppose -w + 3*t = -13, -w - 4*t - 8 = -0*t. Let p(b) = 0*b - w*b + 2*b - 4*b - 1. What are the prime factors of p(-1)?
5
Let a be 26/10 + 2/5. Suppose 4*n - 81 = -3*c, -4*n + 85 - 22 = -a*c. List the prime factors of n.
2, 3
Let x(z) = 2*z**2 - 6*z + 4. Let i(b) = -b**2 + b - 1. Let w(f) = -5*i(f) - x(f). What are the prime factors of w(-1)?
3
Let b(t) = -4*t. Let u be b(-1). Suppose -3*i - 35 = -i - d, u*i = -4*d - 40. Let r = -7 - i. List the prime factors of r.
2
Let i(l) = l**3 + 3*l**2 + 3*l + 3. Let h(r) = 2*r**3 + 7*r**2 + 6*r + 6. Let a(c) = -3*h(c) + 5*i(c). List the prime factors of a(-6).
3, 5
Let l be 0 - (4 + -1 - 8). Let p(m) = m - 2. Let q be p(2). Suppose -20 = -l*n - q*n. What are the prime factors of n?
2
Let g(m) = -m**2 - 14*m - 15. What are the prime factors of g(-10)?
5
Let t be -2*(-1)/(-2) - -44. Suppose -a = 4*a - 5*f - 75, 0 = 3*a - f - t. List the prime factors of a.
2, 7
Let x(c) = c**3 - 3*c**2 - 13*c - 4. Let w be x(6). Suppose 3*d - w + 2 = 0. List the prime factors of d.
2
Suppose -4*q = -3*x - 8, -2*x - 6 = -3*q + 3*x. Let o(n) be the second derivative of n**5/20 - n**4/12 + n**3/2 - 3*n**2/2 - n. List the prime factors of o(q).
7
Let q(a) be the first derivative of a**4/2 + 4*a**3/3 - 2*a**2 + 2*a + 4. What are the prime factors of q(2)?
2, 13
Let t = -15 + 43. Let n = -9 + 13. Suppose n*d - t = | {
"pile_set_name": "DM Mathematics"
} |
11) to base 8.
13
Convert 257 (base 8) to base 6.
451
Convert 2 (base 9) to base 14.
2
What is -7 (base 12) in base 16?
-7
Convert 1 (base 8) to base 16.
1
Convert -20 (base 16) to base 14.
-24
330 (base 6) to base 10
126
What is 3101 (base 4) in base 2?
11010001
77 (base 16) to base 15
7e
Convert -2 (base 13) to base 8.
-2
Convert 9 (base 14) to base 3.
100
What is -1 (base 14) in base 2?
-1
What is 10 (base 8) in base 2?
1000
Convert 3 (base 14) to base 10.
3
a3 (base 14) to base 11
120
What is 2 (base 9) in base 10?
2
32 (base 11) to base 2
100011
1 (base 14) to base 9
1
Convert 217 (base 10) to base 12.
161
0 (base 3) to base 10
0
Convert -56 (base 9) to base 7.
-102
Convert 10 (base 10) to base 12.
a
What is -32 (base 11) in base 10?
-35
-13 (base 5) to base 13
-8
Convert -2 (base 7) to base 12.
-2
4f (base 16) to base 3
2221
What is 24 (base 5) in base 4?
32
Convert -128 (base 10) to base 13.
-9b
Convert 5 (base 13) to base 14.
5
-3 (base 11) to base 15
-3
What is -4 (base 12) in base 9?
-4
What is -10010 (base 2) in base 12?
-16
42 (base 6) to base 10
26
-50 (base 9) to base 3
-1200
Convert -110 (base 2) to base 3.
-20
Convert -410 (base 6) to base 8.
-226
What is 20 (base 4) in base 9?
8
2 (base 10) to base 3
2
-4 (base 12) to base 16
-4
What is 0 (base 16) in base 6?
0
1 (base 8) to base 4
1
11 (base 6) to base 15
7
What is -11 (base 3) in base 8?
-4
Convert -240 (base 8) to base 2.
-10100000
-70 (base 12) to base 14
-60
1 (base 13) to base 2
1
What is 52 (base 9) in base 13?
38
What is -11 (base 12) in base 11?
-12
-11 (base 11) to base 16
-c
-3 (base 10) to base 11
-3
What is 178 (base 9) in base 6?
412
Convert 2 (base 11) to base 15.
2
-10101000 (base 2) to base 5
-1133
1 (base 15) to base 4
1
-9 (base 12) to base 14
-9
1000 (base 2) to base 12
8
What is 0 (base 11) in base 3?
0
Convert -37 (base 14) to base 11.
-45
Convert 3 (base 9) to base 7.
3
Convert -c4 (base 15) to base 12.
-134
What is 9 (base 10) in base 5?
14
-83 (base 9) to base 4
-1023
What is 14 (base 14) in base 11?
17
Convert 25 (base 9) to base 8.
27
-412 (base 6) to base 7
-305
Convert 221 (base 5) to base 15.
41
Convert -101110001 (base 2) to base 5.
-2434
54 (base 8) to base 7
62
-2 (base 8) to base 11
-2
What is 9 (base 12) in base 10?
9
What is 1 (base 16) in base 2?
1
2 (base 13) to base 10
2
Convert 1 (base 12) to base 16.
1
What is 38 (base 15) in base 9?
58
What is 6 (base 8) in base 16?
6
Convert 9 (base 16) to base 4.
21
Convert 4 (base 6) to base 2.
100
66 (base 8) to base 12
46
What is 44 (base 7) in base 3?
1012
Convert 12 (base 10) to base 2.
1100
What is -14 (base 8) in base 3?
-110
What is -5 (base 8) in base 7?
-5
Convert -10 (base 2) to base 11.
-2
Convert -300 (base 5) to base 16.
-4b
What is 76 (base 8) in base 15?
42
Convert -16 (base 9) to base 13.
-12
What is 10 (base 8) in base 12?
8
112 (base 3) to base 10
14
What is 5a (base 15) in base 11?
78
What is 3001 (base 4) in base 14?
db
Convert 49 (base 15) to base 5.
234
10 (base 4) to base 3
11
-10101 (base 2) to base 4
-111
Convert 4 (base 7) to base 10.
4
What is 77 (base 11) in base 4?
1110
Convert 1d (base 14) to base 8.
33
What is -6 (base 16) in base 5?
-11
414 (base 5) to base 15
74
151 (base 6) to base 15
47
What is -15 (base 13) in base 11?
-17
22 (base 16) to base 12
2a
What is 1000 (base 5) in base 13?
98
What is -61 (base 9) in base 8?
-67
What is -4 (base 7) in base 9?
-4
Convert -2 (base 5) to base 13.
-2
What is 2 (base 4) in base 14?
2
Convert 2 (base 6) to base 12.
2
What is 3 (base 11) in base 10?
3
What is -6 (base 7) in base 12?
-6
Convert 7 (base 8) to base 14.
7
What is 15 (base 7) in base 4?
30
-3 (base 8) to base 7
-3
What is 101 (base 2) in base 4?
11
-10 (base 5) to base 3
-12
-110 (base 2) to base 12
-6
Convert -5 (base 6) to base 7.
-5
-4 (base 14) to base 7
-4
What is e (base 15) in base 5?
24
What is 1022 (base 3) in base 16?
23
Convert 27 (base 11) to base 13.
23
52 (base 7) to base 16
25
What is 1 (base 4) in base 7?
1
What is 9 (base 11) in base 6?
13
What is -2130 (base 4) in base 11?
-132
What is 5 (base 8) in base 2?
101
What is -43 (base 13) in base 16?
-37
-5 (base 14) to base 8
-5
10000110 (base 2) to base 7
251
Convert -1001 (base 2) to base 5.
-14
What is -9 (base 10) in base 9?
-10
-4 (base 15) to base 4
-10
Convert 76 (base 11) to base 16.
53
-4a (base 14) to base 7
-123
What is 30 (base 6) in base 15?
13
Convert 135 (base 10) to base 14.
99
Convert 18 (base 16) to base 2.
11000
Convert -452 (base 6) to base 3.
-20112
Convert -2 (base 6) to base 15.
-2
What is 1000 (base 2) in base 4?
20
-1 (base 13) to base 9
-1
Convert -16 (base 8) to base 10.
-14
Convert 5 (base 9) to base 14.
5
-5 (base 12) to base 5
-10
What is -20 (base 6) in base 7?
-15
Convert -8 (base 10) to base 3.
-22
What is -6 (base 9) in base 8?
-6
22 (base 6) to base 14
10
Convert 2 (base 7) to base 10.
2
Convert 21 (base 14) to base 16.
1d
8 (base 10) to base 5
13
Convert a (base 16) to base 9.
11
What is 0 (base 4) in base 6?
0
What is -3 (base 12) in base 15?
-3
What is -322 (base 6) in base 2?
-1111010
What is 306 (base 10) in base 11?
259
Convert 321 (base 4) to base 9.
63
What is -139 (base 16) in base 2?
-100111001
What is -3 (base 15) in base 2?
-11
Convert -5 (base 10) to base 14.
-5
1103 (base 6) to base 9
313
What is -22 (base 12) in base 3?
-222
-c (base 15) to base 14
-c
-170 (base 11) to base 10
-198
-3043 (base 5) to base 2
-110001110
Convert 33 (base 8) to base 10.
27
What is -310 (base 4) in base 3?
-1221
Convert -3 (base 4) to base 11.
-3
Convert -110100 (base 2) to base 10.
-52
1 (base 10) to base 9
1
Convert -32 (base 10) to base 6.
-52
What is 1b (base 15) in base 11?
24
What is 0 (base 4) in base 10?
0
What is -3 (base 16) in base 13?
-3
What is 32 (base 6) in base 11?
19
What is -1 (base 4) in base 9?
-1
What is 34 (base 8) in base 5?
103
12 (base 12) to base 5
24
Convert -26 (base 7) to base 13.
-17
11 (base 16) to base 13
14
What is -2 (base 14) in base 3?
-2
-20 (base 3) to base 8
-6
Convert -11 (base 14) to base 10.
-15
Convert -18 (base 12) to base 16.
-14
What is -137 (base 8) in base 4?
-1133
Convert -154 (base 7) to base 14.
-64
What is -6 (base 7) in base 16?
-6
11 (base 14) to base 11
14
Convert -2304 (base 5) to base 3.
-110012
What is 101010100 (base 2) in base 15?
17a
-1 (base 16) to base 11
-1
Convert -2341 (base 5) to base 9.
-424
What is 99 (base 16) in base 8?
231
-1120 (base 3) to base 15
-2c
What is 1 (base 5) in base 13?
1
Convert 25 (base 11) to base 5.
102
What is 2 (base 16) in base 4?
2
Convert 9 (base 11) to base 2.
1001
What is -311 (base 9) in base 11?
-210
What is -3 (base 11) in base 2?
-11
Convert -32 (base 7) to base 6.
-35
Convert -4 (base 16) to base 7.
-4
230 (base 4) to base 8
54
Convert -1010111 (base 2) to base 9.
-106
3 (base 9) to base 13
3
-2 (base 14) to base 2
-10
Convert -2 (base 8) to base 10.
-2
What is 0 (base 3) in base 5?
0
-71 (base 11) to base 10
-78
What is 31 (base 13) in base 6?
104
-59 (base 11) to base 12
-54
-122 (base 3) to base 4
-101
What is ab (base 13) in base 6?
353
9 (base 10) to base 14
9
Convert a (base 14) to base 13.
a
What is -21121 (base 3) in base 12?
-151
What is 0 (base 5) in base 15?
0
Convert -12 (base 4) to base 9.
-6
-3 (base 6) to base 5
-3
What is -16 (base 15) in base 16?
-15
-14 (base 5) to base 11
-9
What is d1 (base 15) in base 12?
144
Convert -4 (base 6) to base 4.
-10
Convert -11 (base 11) to base 9.
-13
-21 (base 8) to base 16
-11
Convert -2 (base 7) to base 6.
-2
Convert 1 (base 3) to base 11.
1
Convert 233 (base 5) to base 3.
2112
Convert -17 (base 12) to base 4.
-103
What is -2333 (base 4) in base 6?
-515
What is -15 (base 15) in base 10?
-20
Convert -5 (base 8) to base 4.
-11
What is -1110 (base 4) in base 16?
-54
52 (base 16) to base 15
57
Convert -27 (base 14) to base 12.
-2b
What is 3 (base 15) in base 16?
3
What is -111 (base 2) in base 11?
-7
72 (base 13) to base 16
5d
What is c (base 14) in base 15?
c
What is 3 (base 13) in base 15?
3
Convert 22 (base 5) to base 7.
15
-2b (base 14) to base 4
-213
0 (base 4) to base 3
0
Convert -5 (base 13) to base 3.
-12
-2 (base 4) to base 14
-2
Convert -4 (base 5) to base 13.
-4
What is -2 (base 11) in base 14?
-2
Convert 3 (base 8 | {
"pile_set_name": "DM Mathematics"
} |
se 0 = 8*k - 11*k + 27. Let y = k - 7. Suppose w - 2*j = -j + 3, 0 = -y*w - j. Put -1, 0, w in decreasing order.
w, 0, -1
Suppose -z - 87 = -3*q - 4*z, 5*q - 115 = 5*z. Let c = q - 16. Suppose 0 = -2*o + 4*y - 2*y - c, -2*o - 10 = y. Put o, 4, 2 in decreasing order.
4, 2, o
Let j = 95 + -28. Let c = j + -77. Sort 5, c, -5, -4 in decreasing order.
5, -4, -5, c
Let f = 0.42 + -0.42. Let x = -0.37 + 0.27. Suppose -j = -4 - 1. Put x, j, f in ascending order.
x, f, j
Let z = 6 + -5. Suppose 0 = -4*m + 2*t + 8, 5*m - 15 + 3 = 3*t. Sort z, m, 20 in ascending order.
m, z, 20
Suppose -2*y - 4*s - 12 = 28, y + 30 = 3*s. Let b = 121/5 + y. Suppose 12*u + 24 = 4*u. Sort b, u, 1/6 in ascending order.
u, 1/6, b
Let b(p) = p**2 + 7*p - 9. Let l be b(-4). Let g be 32/l*(-6)/8. Sort -3/5, g, -1 in increasing order.
-1, -3/5, g
Let a = -0.78 + -1.22. Sort -4, -1, 3/8, a in decreasing order.
3/8, -1, a, -4
Suppose 0 = 4*f - 5*o - 25, 4*f + 34 - 49 = -5*o. Put -3, f, 28, 0 in ascending order.
-3, 0, f, 28
Let c be (-40)/2*(1 - 3). Let p be c/12 + (-3)/9. Let a = 3/7 + -36/35. Sort a, -2/13, p in descending order.
p, -2/13, a
Let r be -5 + 4/2 + -1. Let n be (4 - 3)*2/(-12). Let a = -14 - -21. Put n, r, a in decreasing order.
a, n, r
Let k = -978 - -1955/2. Put 5, 2/19, 1/4, k in increasing order.
k, 2/19, 1/4, 5
Let c(j) = j**2 - 3*j + 3. Let z be c(3). Let h = -4 - 1. Let r = 496 - 496.2. Sort h, r, z in ascending order.
h, r, z
Let o(a) = -a**2 - 10*a + 6. Let s be o(-9). Suppose -2 = t - 4, 3*i - s = -3*t. Put -4, i, 2, -2 in increasing order.
-4, -2, 2, i
Suppose 4*r + 40 = -8*z + 7*z, -2*z = -r - 10. Put r, -5, -39 in descending order.
-5, r, -39
Let r = 0.29 - -0.01. Let a = 0.08 + 12.92. Let q = a - 18. Sort -1/3, r, q in increasing order.
q, -1/3, r
Let p(r) = 6*r + 18. Let l(f) = -7*f - 18. Let c(a) = 5*l(a) + 6*p(a). Let m be c(-21). Sort m, 4, 8 in descending order.
8, 4, m
Let b be (-50)/(-60)*(-3)/(-40). Put b, -0.3, 0.8 in descending order.
0.8, b, -0.3
Let c(d) = -d**3 - 2*d**2 + 14*d - 5. Let u be c(-5). Sort 8, 4, u, -4 in descending order.
8, 4, u, -4
Let i = -5.04007 - -0.04007. Suppose 9 + 6 = 3*c. Put 0.3, i, c, -1 in descending order.
c, 0.3, -1, i
Let p = -442 + 452. Put p, 5, 2, -2 in decreasing order.
p, 5, 2, -2
Let r = 8 - 7.5. Let n be (-105)/(-56) + (0 - 2). Sort n, 1/3, r, 3/4 in descending order.
3/4, r, 1/3, n
Let c be (10/8)/((-2)/8). Let p(n) = 3*n - 109. Let v be p(37). Put -3, v, c in decreasing order.
v, -3, c
Let b be (-4)/(-14) - (-32)/(-14). Put 40, 3, b in increasing order.
b, 3, 40
Let t(j) = 15*j + 12*j - 11 - 29*j. Let x be t(-8). Suppose 0 = -6*o + x*o. Sort -1, 3/2, o in increasing order.
-1, o, 3/2
Let t be (3 - 0) + (-24)/(11 - 5). Let y = -2 + -1. Sort t, 3, y, -4 in ascending order.
-4, y, t, 3
Suppose -8*s - 4*v = -6*s + 128, 5*v - 137 = 3*s. Sort s, -2, 0 in ascending order.
s, -2, 0
Let t be 4 + (-7 - (-5 + 2)). Let q = 14 + t. Let x = 14 - q. Sort x, -13, -0.1 in increasing order.
-13, -0.1, x
Let t(s) = 2*s + 6. Let g be t(5). Suppose g = -a - 4*h, 5*h + 9 = -16. Sort a, 0.4, -5, -5/6 in decreasing order.
a, 0.4, -5/6, -5
Let u = 5.56 + -5.86. Sort u, -0.52, 2/13, 1/8 in descending order.
2/13, 1/8, u, -0.52
Let a = -634 - -629. Put -0.1, a, 23, 7 in ascending order.
a, -0.1, 7, 23
Let c(q) = -q**2 + 7*q + 3. Let z = 11 - 4. Let d be c(z). Suppose d*w - 4*w - 1 = 0. Sort -3, 0, w in increasing order.
-3, w, 0
Let b = 316.98 + -312. Let k = b + 0.02. Let w be -2 - 100/(-42) - (-10)/(-15). Sort w, -5, k in increasing order.
-5, w, k
Let x = -7 + 15. Suppose 0 = -4*z + d + 30 + 10, -x = 2*d. Let f be -1*(-4)/(12/z). Sort f, -2, -3 in descending order.
f, -2, -3
Let p(c) = -c**3 - 14*c**2 + 14*c - 10. Let h be p(-15). Suppose d - 20 = 5*n - h, -2*n = 4. Sort 3, -1, 0, d in increasing order.
-1, 0, 3, d
Let l = -1060 + 1062. Put 51, 4, l in decreasing order.
51, 4, l
Let p = 466 + -506. Sort p, 5, 2/3 in ascending order.
p, 2/3, 5
Let d = -1 + 0. Let c = 3035 + -3033. Sort d, -2, c, 5 in decreasing order.
5, c, d, -2
Let j = 18 - 30. Let f = j - -12.43. Let z = -0.13 + f. Sort 3/2, z, -5 in decreasing order.
3/2, z, -5
Let x = -2/301 - 12/43. Let m = -1299 + 1294. Sort m, -9, 1, x.
-9, m, x, 1
Let f = -14.633 - -14.233. Suppose -4*d = -5*h - 7, 1 = -5*d - 4*h + 20. Sort d, 4, f, -5.
-5, f, d, 4
Suppose 0 = 5*q + 37 + 8. Let p(f) = -f**3 - 10*f**2 - 8*f + 8. Let n be p(q). Suppose 5*s + 2*b + 0 = 17, 2*b + 18 = 2*s. Sort -4, s, n in descending order.
s, n, -4
Let b = -35 + 37. Suppose 10*o = 12*o - b. Suppose 0 = -4*c - 0*c - 4. Put -2, o, c in descending order.
o, c, -2
Let n = -8.2 + 8. Let v = -2.33 + 2.2. Let k = -0.87 + v. Put n, k, 5 in descending order.
5, n, k
Let x(s) = s**3 + 10*s**2 - 9*s + 17. Let v be x(-11). Put 0, 9, v, 5 in ascending order.
v, 0, 5, 9
Let s = -2/205 - -223/1845. Put 3, 1.5, 1, s in decreasing order.
3, 1.5, 1, s
Let l(f) = f - 4. Let x be l(7). Let j = -216 - -212. Put -2, x, j, 1 in descending order.
x, 1, -2, j
Suppose -78 = -4*m + 10. Suppose -3*j = 3*l - 9 - 0, 3*l - 2*j - 9 = 0. Suppose 3*x - b = -x + 11, -l*x - 2*b = -m. Sort x, -2, -5.
-5, -2, x
Let q be 3/(-15)*2/12. Let c = 3477/10 - 348. Let j = c + q. Put -2, j, 3 in decreasing order.
3, j, -2
Suppose -2*l + 4*l = 40. Let s = l - 17. Suppose 4*d - 8*d = 0. Sort d, s, 1 in descending order.
s, 1, d
Let v = -1/345 - 68/345. Sort 2, -3, v in increasing order.
-3, v, 2
Let k = 5 - 5.2. Let r = 0.3 - k. Let z = -924.1 + 924. Sort r, z, 0 in descending order.
r, 0, z
Let x be (3 + 20/(-7))*(-4 + 7). Sort -3, 0.1, x, 3 in increasing order.
-3, 0.1, x, 3
Let l be (-5)/(-1) + -2 - 45*-1. Let b be (-5)/6 + 4/l*-2. Let k = -1 - -1. Sort b, -3, k in increasing order.
-3, b, k
Let g be (-12)/14 + -19 + 20. Let d be 42/10 - (-5)/(-25). Suppose -d*i - 3*c - 21 = -2*i, i = 2*c + 7. Put g, 4/5, i in decreasing order.
4/5, g, i
Let g(h) = h + 63. Let a be g(-59). Put 0.5, a, -156, -0.3 in descending order.
a, 0.5, -0.3, -156
Let t = -1142.96 + 1143. Sort 0, 3, 5, t in decreasing order.
5, 3, t, 0
Suppose 2*a - a = 17. Suppose 5*x - a = -k, 1 - 17 = -5*k - 2*x. Suppose 2 = -k*t - 4. Put t, -4, -5 in descending order.
t, -4, -5
Let t = 240 + -241. Put 10, 5, t in increasing order.
t, 5, 10
Let p(b) = -b**3 - b + 4. Let v be p(0). Suppose a - 9 = -0*a. Let h = -4 + a. Sort 1, v, h in increasing order.
1, v, h
Let h(d) = d**2 + 3*d - 12. Let g be h(-6). Suppose -g*n - z - 21 = -2*n, 2*z = -5*n - 30. Sort n, 5, -1.
n, -1, 5
Let k = 1647 - 1646.8. Let f be (-4)/10 + 192/430. Sort f, k, 3.
f, k, 3
Let m = -70 - -70.8. Let r = m + -0.5. Put 19, 5, r in increasing order.
r, 5, 19
Let k be 12/(-180) - 222/45. Sort 6, 4, k, 2 in descending order.
6, 4, 2, k
Let t be 81/(-12) - 3/12. Let q(u) = -u**2 - 2*u + 31. Let j be q(t). Sort 1, 4, j.
j, 1, 4
Let p be (-1)/(-3) + (-2)/(-3). Let b be 26/117 + (-2)/9. Suppose b = 14*m - 3*m - 33. Put p, 6, m in decreasing order.
6, m, p
Let x = 1741.1 - 1741. Put -160, -1/5, x in descending order.
x, -1/5, -160
Let k = 440 - 444. Let a(h) = -h - 3. Let g be a(-3). Let w be -6 - (g - -3 - 1). Put -2, k, w in descending order.
-2, k, w
Let v = 202 - 187. Sort 0, 2/9, -0.4, v in ascending order.
-0.4, 0, 2/9, v
Let i be ((-9)/1965)/(24/4356099690). Let j = 831317 + i. Let q = -2/131 + j. Put q, 1/2, 0.02 in decreasing order.
1/2, q, 0.02
Suppose 13 - 15 = l. Let d be 803/1881 - l/(-18). Sort 0.4, 1/4, d in increasing order.
1/4, d, 0.4
Suppose 0 = -5*j + 5, -2*m + 2*j = -0*m - 2. Let v(g) = 23*g**2 - 344*g - 20. Let y be v(15). Put 10, m, 4, y in increasing order.
y, m, 4, 10
Suppose 0 = 32*t - 136 - 88. Sort t, 1, 3.
1, 3, t
Let c = 29 + -15. Suppose c = 4*b - 6. Let a = 0.09 - 0.1. Sort a, b, 3 in ascending order.
a, 3, b
Suppose 11*q - 4 = 7*q. Sort 5, q, -24, -4 in descending order.
5, q, -4, -24
Let b = -466.1 + 466. Sort b, -144, -3 in decreasing order.
b, -3, -144
Let f(q) = q**2. Let c(x) = x + 7. Let k be c(-8). Let j be f(k). Suppose -4*h - j = -u - 0*u, -h - 5*u + 5 = 0. Put 3, h, 2 in descending order.
3, 2, h
Let y = -219 - -219. Put -1/2, y, -4/7 in ascending order.
-4/7, -1/2, y
Suppose -3*s - 12 = -2*q, -1 = q - 4. Put s, -10, -1, 4 in descending order.
4, -1, s, -10
Let t(b) = b**3 - 4*b**2 + 5* | {
"pile_set_name": "DM Mathematics"
} |
)/(-50)) + (-51265)/(-15) a multiple of 5?
True
Is (1248/13248*46)/(0 - (-1)/5904) a multiple of 11?
False
Let j(n) = 37*n + 8. Let o be (-90)/(-126) + (-2)/(-7). Is 29 a factor of j(o)?
False
Let z = -9289 - -15681. Is z a multiple of 16?
False
Let t be -4*(-25)/40*508/10. Let b = t + -65. Let d = b + -42. Is d a multiple of 2?
True
Let c(n) = 5*n**3 + 20*n**2 + 30*n - 10. Let u(x) = -2*x**3 + x + 1. Let r(z) = c(z) + 2*u(z). Is 42 a factor of r(-16)?
True
Let h = -39 - -42. Suppose -k - 162 = 3*r + h*k, r = -4*k - 46. Let t = -36 - r. Is 11 a factor of t?
True
Let r(b) = -b**3 + 23 - b**2 + 7 - 8 + 18*b. Is r(-6) a multiple of 6?
False
Suppose 0 = -9*u + 456 + 381. Suppose -828 + u = -3*d. Let q = d + -164. Is q a multiple of 27?
True
Let g(r) = 17*r**2 - 5*r - 2*r + 6*r**2 + 17 - 22*r**2. Is g(-5) a multiple of 22?
False
Let c = -2430 + 3772. Suppose -2222 = -9*h + c. Does 22 divide h?
True
Is 190 a factor of (-338400)/(-30) + 21 - (1 - 9)?
False
Suppose 0 = 72*c + 235783 - 803863. Is c a multiple of 263?
True
Suppose -2*n + 5308 = 5*m, -m + 1400 - 356 = -4*n. Suppose 9*y - 4*y - m = 0. Let j = y - 96. Does 29 divide j?
True
Let x be (2*-258)/(-6)*(-3)/2. Let c = 218 + x. Does 12 divide c?
False
Let v(j) = j + 28. Let i be v(-21). Suppose -c - 5*o = -219, i*c + o - 895 = 3*c. Does 16 divide c?
True
Suppose -5*i - 4*s = -12945, 5*i + 2*s + 4240 = 17195. Is 54 a factor of i?
False
Suppose -3*a + 237 = 5*b - 61, -2*a = -5*b + 318. Let r = -58 + b. Is 34 a factor of 4/r - -3 - 1 - -167?
True
Let a(l) = -152*l**3 + l**2 - 12*l - 13. Let u be a(-1). Does 28 divide u/16 + -8 + 370/4?
False
Let y = 234 - 240. Is 45 a factor of ((-22)/33 - 4/y) + 450?
True
Is 3 + 50/(-14) - (-2250818)/287 a multiple of 81?
False
Suppose 27 = 3*l + 4*o, 3*l - l + 3*o = 19. Suppose -254 = 3*f - l*f. Suppose -f = -2*b - 39. Is b a multiple of 11?
True
Suppose 62*w - 59*w + 405 = 0. Let a = -123 - w. Suppose -3*s - 2*f = -123, -s = 14*f - a*f - 41. Is s a multiple of 9?
False
Suppose 3*s - 16955 = -5*b, 1360*s - 11306 = 1358*s - 4*b. Does 17 divide s?
False
Let b be ((-180)/(-72))/(1/8). Is -85*(-28)/b*6 a multiple of 26?
False
Let y(c) = -3*c - 31. Let r be y(-15). Suppose -r*m - 66 = -8*m. Let u(x) = 2*x**2 + 17*x - 18. Is u(m) a multiple of 4?
False
Let a = 136 - -417. Suppose -42 = b - 2*d - 169, 0 = -4*b - d + a. Does 61 divide b?
False
Let d(u) = u**2 - 1. Let t(z) = z**2 - 17*z + 32. Let c(a) = 2*d(a) - t(a). Let r be c(-19). Suppose -r*h - 3 + 15 = 0. Is 2 a factor of h?
False
Let b = -845 + 2041. Is b a multiple of 28?
False
Let u = 52 - 73. Is ((-340)/6)/(-6 - 112/u) a multiple of 5?
True
Suppose 3*t + b = 24494, 3*t - b + 11917 = 36419. Does 4 divide t?
False
Let b be 18/(1*(-1)/1). Let v be (-2)/9 - 166/b. Let m(l) = l - 1. Does 4 divide m(v)?
True
Let t(f) = f - 14. Let k be t(14). Let d(r) be the second derivative of 5*r**3/6 + 16*r**2 + r. Is d(k) a multiple of 10?
False
Let i = 87 - -1. Suppose -11*g = -9*g - i. Does 2 divide g?
True
Suppose -a = 9, -12*x + 17*x + a = 347491. Does 20 divide x?
True
Suppose 0 = p - 4*b + 48, 3*b + 1 = 10. Let o be 1/(((-15)/132)/(-5)). Let j = p + o. Does 8 divide j?
True
Let z = 151 + -232. Let j(p) = -p**2 + 17*p + 79. Let q be j(-8). Let g = z - q. Is g a multiple of 40?
True
Suppose t = -p + 25 + 13, 3*t = 4*p + 86. Suppose -7*l + t*l - 25029 = 0. Is 75 a factor of l?
False
Suppose -7*q + 2*d - 3120 = -9*q, 0 = -3*q + 2*d + 4655. Is 112 a factor of q?
False
Let r = 8566 - 7407. Is 30 a factor of r?
False
Let h = 15205 + -6593. Is h a multiple of 31?
False
Let z = 14691 + -9129. Is 27 a factor of z?
True
Let w(a) = 1635*a + 1252. Is w(10) a multiple of 30?
False
Suppose -a + 13 = -2*m - 50, -3*a = -5*m - 188. Suppose 54*c + 462 = a*c. Is c a multiple of 23?
False
Suppose 15*k = 11560 + 5525. Is 8 a factor of k?
False
Let p(g) = 56*g + 11 - 2*g**2 - 69*g + 6*g**2. Let v be p(5). Let b = v + -35. Is 2 a factor of b?
False
Suppose 5*s - 79 = 2*d, s - 4*d - 17 = -3*d. Let o(f) = 32 + 3*f**2 - 21 - s + f**3 - 7*f. Does 10 divide o(4)?
True
Let c(q) = -370*q + 18653. Let i be c(51). Suppose w + 22 + 9 = 0. Is (20/7)/(w/i) a multiple of 20?
True
Suppose 10*s + 1 = 41. Let d be (21/s)/((-36)/(-336)). Suppose -24 = -t + d. Does 10 divide t?
False
Let u = -67 + 75. Suppose -99 = 7*d - u*d. Suppose -3*t + 4*v + d + 215 = 0, 334 = 3*t + v. Is t a multiple of 10?
True
Let q be 476/8*-1*(-4)/1. Suppose 4*n + 393 = 3*o - q, -210 = -o + n. Is 19 a factor of o?
True
Suppose -4*t - h = 313 - 10650, -3*t + 4*h + 7767 = 0. Does 11 divide t?
True
Suppose 6*l = 4*d + 3*l + 189, 31 = -d + 4*l. Let x = d - -378. Does 7 divide x?
False
Let d = -5654 - -7254. Does 16 divide d?
True
Suppose -j - 16 = -4*z - 4*j, -8 = -2*z - 2*j. Suppose z*x - 46 = -c, -3*c + x - 43 = -207. Is c a multiple of 35?
False
Let x(o) = -o**2 + 23*o + 8. Suppose 0 = 2*m + 2*w, 12 = 5*m - 0*w - w. Let t be (8/m)/(23/92). Is 20 a factor of x(t)?
True
Suppose 7 = 5*i - 8. Suppose b + 3*u = 760, -i*u = -5*b - 7*u + 3800. Does 95 divide b?
True
Suppose -p + 6 + 6 = 0. Suppose -3*i + p*i = 0. Suppose i*u = u - 74. Is u a multiple of 37?
True
Let k be 352*(6/(-4) + 1). Let j = -936 - -1294. Let w = k + j. Does 14 divide w?
True
Suppose -4*j + 2*m + 1098 = 0, -146*j + 141*j - 3*m + 1367 = 0. Is j a multiple of 2?
True
Suppose -4*y + 69*a = 70*a - 193537, -4 = -4*a. Is 32 a factor of y?
True
Suppose n = 2*u - 492, 2*n - 12*u + 9*u = -985. Let m = 611 + n. Does 16 divide m?
False
Suppose -l - 3*z - z = -8358, 0 = -7*l + 5*z + 58407. Is 13 a factor of l?
True
Let t(v) = 13*v + 156. Suppose y + 4*b + 22 = 0, 38 = 2*y - 7*y - 2*b. Is 5 a factor of t(y)?
False
Let f(m) = -10*m - 2. Let k(v) = v**2 + 7. Let j be k(3). Suppose -4*p - j - 4 = 0. Is 22 a factor of f(p)?
False
Suppose 24*d - 81600 - 3048 = 0. Is d a multiple of 5?
False
Let d(u) = -5*u + 345. Let v be d(0). Let j = 396 - v. Does 24 divide j?
False
Let n(g) be the second derivative of -g**3/3 + 11*g**2 - 4*g. Let d be n(7). Let o(r) = 2*r**3 - 16*r**2 + r + 6. Is 14 a factor of o(d)?
True
Let n be (-476)/(-85)*5/2. Let w be (n - 11)/((-1)/(-19)). Suppose 21 = 3*g - w. Does 26 divide g?
True
Suppose 0 = 4*l + 5*d + 173, 4*l - 6*l = 5*d + 79. Let g = -35 - l. Suppose 0 = -g*c + 11*c + 96. Is 50 a factor of c?
False
Let z = 45 - 47. Let k be (3 + -3)*(0 + 1)/z. Suppose -3*o - 5*r + 75 = -k*o, 2*r - 114 = -4*o. Is o a multiple of 10?
True
Let u = 10006 + -2002. Is 23 a factor of u?
True
Let h be ((1 - 4) + (-88)/(-33))*30. Is ((-396)/48 - h)*(75 - -1) a multiple of 3?
False
Let i(y) = y**3 + 382. Suppose s - 3*s = c - 6, 5*c - 5*s = -15. Does 8 divide i(c)?
False
Let q(s) = -7*s**2 - 5*s + 8. Let k(r) = -15*r**2 - 11*r + 16. Let d(u) = 6*k(u) - 13*q(u). Let z be d(6). Suppose 24 = 4*h - 2*l, l = -4*h + 8 + z. Is h even?
False
Let p be ((-14)/(-35))/(1/(-35)). Let t = p - -18. Suppose 154 = 3*h - 2*g, -3*g + 192 = t*h - 36. Does 9 divide h?
True
Let q(r) be the first derivative of -3*r**4/4 - 2*r**3/3 + 3*r**2/2 + 2*r + 4. Let p = -43 + 41. Is q(p) a multiple of 11?
False
Let s(m) be the first derivative of -m**4/4 - 5*m**3/3 + m**2 + 9*m - 16. Let u(n) = n**3 - 4*n**2 + n - 1. Let h be u(3). Does 8 divide s(h)?
False
Suppose 66*j - 2688 = 62*j. Is 112 a factor of j?
True
Suppose -4*j + q = 25, 0 = 2*q + q - 3. Let u be 1042 - j*(-2)/(-3). Suppose 3*f - 5*t = -t + 626, 5*f - 4*t - u = 0. Does 21 divide f?
True
Let j(n) = n**2 + 15*n - 16. Let s be j(-13). Let q = 132 - s. Is q a multiple of 29?
True
Let x(q) = 232*q**2 + 537*q + 27. Does 8 divide x(11)?
False
Let n = 2556 + -1066. Suppose -3*p + n + 757 = 4*v, 0 = v + p - 563. Is v a multiple of 18?
True
Suppose 65*w - 1261919 + 317909 = 20*w. Is 15 a factor of w?
False
Let d = 9172 + -7724. Is 4 a factor of d?
True
Let n(f) = -4552*f + 1658. Does 62 divide n(-3)?
True
Suppose 5*i - 4784 = -2*l + 20836, l + 4*i = 12801. Is l a multiple of 285?
True
Is (-11315)/(-9) - ((-282)/(-54) + -5) a multiple of 120?
False
Let k = -51 - -51. Suppose k = 5*s + b - 92, -68 = -4*s + 2*b - 0. Is s a multiple of 2?
True
Let n = 7988 - 6833. Does 41 divide n?
False
Let p = -219 + 226. Suppose 0 = 5*j - 20, 0 = -2*q - 3*j + p*j + 1744. Is q a multiple of 80?
True
Suppose -4*a + 0*d + 208 = 4 | {
"pile_set_name": "DM Mathematics"
} |
digit of 209136?
0
What is the units digit of 10598888?
8
What is the millions digit of 3681620?
3
What is the hundred thousands digit of 23771867?
7
What is the ten thousands digit of 857578?
5
What is the hundred thousands digit of 2208130?
2
What is the thousands digit of 7444811?
4
What is the hundreds digit of 431268?
2
What is the thousands digit of 826702?
6
What is the hundreds digit of 24008946?
9
What is the hundreds digit of 40481?
4
What is the hundreds digit of 10133707?
7
What is the ten thousands digit of 944393?
4
What is the hundreds digit of 1692043?
0
What is the tens digit of 3756393?
9
What is the ten thousands digit of 160633?
6
What is the thousands digit of 2059724?
9
What is the hundreds digit of 587095?
0
What is the hundred thousands digit of 820247?
8
What is the tens digit of 509218?
1
What is the ten thousands digit of 1098602?
9
What is the millions digit of 2372208?
2
What is the thousands digit of 4120569?
0
What is the units digit of 99410?
0
What is the hundred thousands digit of 534934?
5
What is the hundreds digit of 11804845?
8
What is the units digit of 2039257?
7
What is the millions digit of 16599253?
6
What is the millions digit of 1431054?
1
What is the hundred thousands digit of 342301?
3
What is the hundred thousands digit of 767741?
7
What is the units digit of 371429?
9
What is the thousands digit of 453170?
3
What is the tens digit of 25078657?
5
What is the hundred thousands digit of 6929219?
9
What is the millions digit of 30620959?
0
What is the hundred thousands digit of 408289?
4
What is the thousands digit of 13160727?
0
What is the ten thousands digit of 1642158?
4
What is the ten thousands digit of 266689?
6
What is the ten thousands digit of 585227?
8
What is the thousands digit of 329786?
9
What is the ten thousands digit of 697060?
9
What is the tens digit of 933114?
1
What is the hundreds digit of 146986?
9
What is the hundred thousands digit of 5597520?
5
What is the millions digit of 2257311?
2
What is the thousands digit of 1504409?
4
What is the millions digit of 16978487?
6
What is the hundred thousands digit of 2185393?
1
What is the units digit of 2944288?
8
What is the tens digit of 141920?
2
What is the millions digit of 4127322?
4
What is the hundred thousands digit of 17132581?
1
What is the hundreds digit of 109226?
2
What is the tens digit of 5557?
5
What is the tens digit of 35496?
9
What is the millions digit of 8763224?
8
What is the units digit of 12616699?
9
What is the hundred thousands digit of 434712?
4
What is the tens digit of 1787338?
3
What is the hundreds digit of 9960489?
4
What is the hundreds digit of 3795849?
8
What is the ten millions digit of 23330840?
2
What is the thousands digit of 665878?
5
What is the millions digit of 3520998?
3
What is the thousands digit of 776387?
6
What is the hundreds digit of 110964?
9
What is the ten thousands digit of 577684?
7
What is the hundred thousands digit of 2935721?
9
What is the thousands digit of 9097828?
7
What is the hundred thousands digit of 780674?
7
What is the ten thousands digit of 320633?
2
What is the hundred thousands digit of 545326?
5
What is the tens digit of 802084?
8
What is the tens digit of 229881?
8
What is the thousands digit of 392970?
2
What is the tens digit of 631429?
2
What is the units digit of 935431?
1
What is the hundred thousands digit of 2792793?
7
What is the thousands digit of 16914517?
4
What is the tens digit of 18854?
5
What is the hundreds digit of 1992583?
5
What is the hundred thousands digit of 2480066?
4
What is the units digit of 5980045?
5
What is the units digit of 6611819?
9
What is the hundreds digit of 7226625?
6
What is the units digit of 20506?
6
What is the tens digit of 986305?
0
What is the tens digit of 184341?
4
What is the thousands digit of 1708489?
8
What is the units digit of 255034?
4
What is the hundreds digit of 3120073?
0
What is the hundreds digit of 264771?
7
What is the hundred thousands digit of 5455320?
4
What is the units digit of 3047862?
2
What is the hundreds digit of 742045?
0
What is the thousands digit of 11304539?
4
What is the millions digit of 6534142?
6
What is the ten thousands digit of 9696392?
9
What is the units digit of 12237?
7
What is the ten thousands digit of 389154?
8
What is the ten thousands digit of 66568?
6
What is the tens digit of 673224?
2
What is the units digit of 143130?
0
What is the units digit of 6239304?
4
What is the millions digit of 5399706?
5
What is the hundreds digit of 421392?
3
What is the ten thousands digit of 20845385?
4
What is the ten thousands digit of 181542?
8
What is the hundred thousands digit of 568679?
5
What is the tens digit of 1465888?
8
What is the thousands digit of 22278?
2
What is the millions digit of 20497207?
0
What is the thousands digit of 667706?
7
What is the units digit of 239043?
3
What is the hundreds digit of 12917455?
4
What is the units digit of 249258?
8
What is the hundreds digit of 518065?
0
What is the millions digit of 29916351?
9
What is the hundreds digit of 652239?
2
What is the ten thousands digit of 10580523?
8
What is the hundred thousands digit of 5920616?
9
What is the ten thousands digit of 3030829?
3
What is the thousands digit of 59628?
9
What is the ten thousands digit of 1567969?
6
What is the tens digit of 227880?
8
What is the ten thousands digit of 16262?
1
What is the units digit of 2867897?
7
What is the units digit of 128825?
5
What is the units digit of 3085140?
0
What is the hundred thousands digit of 101205?
1
What is the tens digit of 1998?
9
What is the ten thousands digit of 4657812?
5
What is the tens digit of 1229777?
7
What is the units digit of 1407157?
7
What is the hundred thousands digit of 16926138?
9
What is the hundreds digit of 2325043?
0
What is the units digit of 16725383?
3
What is the thousands digit of 4431218?
1
What is the ten thousands digit of 308300?
0
What is the thousands digit of 128303?
8
What is the units digit of 809674?
4
What is the hundreds digit of 9287158?
1
What is the hundreds digit of 261948?
9
What is the units digit of 14880061?
1
What is the ten thousands digit of 558897?
5
What is the ten thousands digit of 1701957?
0
What is the tens digit of 3406324?
2
What is the hundreds digit of 402117?
1
What is the hundreds digit of 15117277?
2
What is the units digit of 2858107?
7
What is the ten thousands digit of 18469?
1
What is the tens digit of 18277999?
9
What is the thousands digit of 1428029?
8
What is the tens digit of 1838675?
7
What is the thousands digit of 14245?
4
What is the units digit of 12782367?
7
What is the millions digit of 6104457?
6
What is the tens digit of 31067645?
4
What is the ten thousands digit of 2709513?
0
What is the thousands digit of 1276270?
6
What is the tens digit of 27063?
6
What is the units digit of 19814890?
0
What is the hundreds digit of 5087730?
7
What is the thousands digit of 641474?
1
What is the units digit of 9715917?
7
What is the hundreds digit of 6027265?
2
What is the thousands digit of 2759239?
9
What is the ten thousands digit of 121914?
2
What is the ten thousands digit of 310304?
1
What is the hundred thousands digit of 150222?
1
What is the ten thousands digit of 2983708?
8
What is the units digit of 525247?
7
What is the ten thousands digit of 437006?
3
What is the thousands digit of 570822?
0
What is the hundreds digit of 2159533?
5
What is the units digit of 7402130?
0
What is the ten thousands digit of 158227?
5
What is the tens digit of 192393?
9
What is the hundred thousands digit of 1977261?
9
What is the thousands digit of 1205464?
5
What is the units digit of 4031606?
6
What is the ten thousands digit of 343097?
4
What is the hundreds digit of 307046?
0
What is the ten millions digit of 20243594?
2
What is the thousands digit of 63534?
3
What is the hundreds digit of 657603?
6
What is the hundred thousands digit of 749986?
7
What is the tens digit of 267650?
5
What is the hundreds digit of 6697746?
7
What is the hundreds digit of 817389?
3
What is the hundred thousands digit of 1285936?
2
What is the thousands digit of 464432?
4
What is the units digit of 239914?
4
What is the hundreds digit of 70633?
6
What is the units digit of 13632005?
| {
"pile_set_name": "DM Mathematics"
} |
visor of 42 and 84.
42
What is the highest common factor of 2 and 366?
2
Calculate the greatest common divisor of 108 and 3204.
36
What is the greatest common factor of 400 and 112?
16
What is the greatest common factor of 7249 and 11?
11
Calculate the greatest common factor of 50 and 10.
10
Calculate the highest common factor of 34 and 459.
17
Calculate the greatest common divisor of 30 and 1280.
10
Calculate the highest common factor of 99 and 36.
9
What is the highest common factor of 57 and 133?
19
What is the highest common factor of 3 and 741?
3
Calculate the highest common divisor of 450 and 350.
50
What is the greatest common divisor of 377 and 26?
13
Calculate the highest common factor of 3268 and 1204.
172
Calculate the greatest common factor of 45 and 10.
5
Calculate the greatest common factor of 44 and 1364.
44
Calculate the highest common divisor of 24 and 948.
12
What is the highest common divisor of 132 and 946?
22
What is the highest common factor of 58 and 27579?
29
What is the greatest common factor of 6194 and 38?
38
Calculate the greatest common factor of 1458 and 594.
54
What is the greatest common divisor of 1070 and 10?
10
Calculate the greatest common factor of 5487 and 31.
31
What is the highest common divisor of 1216 and 1024?
64
What is the highest common divisor of 2043 and 81?
9
Calculate the highest common factor of 18800 and 300.
100
What is the highest common factor of 266 and 38?
38
What is the greatest common factor of 150 and 5825?
25
What is the greatest common divisor of 1630 and 90?
10
Calculate the highest common divisor of 246 and 164.
82
Calculate the greatest common divisor of 57 and 57.
57
What is the highest common divisor of 33 and 473?
11
What is the highest common divisor of 24604 and 4?
4
What is the greatest common divisor of 765 and 36?
9
Calculate the highest common factor of 476 and 28.
28
Calculate the highest common factor of 6 and 1968.
6
Calculate the highest common divisor of 4615 and 104.
13
What is the highest common factor of 48 and 120?
24
What is the greatest common factor of 405 and 180?
45
Calculate the greatest common divisor of 2480 and 868.
124
Calculate the highest common divisor of 440 and 198.
22
Calculate the highest common factor of 12 and 1338.
6
What is the greatest common divisor of 22 and 231?
11
Calculate the highest common divisor of 7 and 5257.
7
What is the greatest common divisor of 25448 and 8?
8
Calculate the greatest common divisor of 49 and 497.
7
Calculate the highest common factor of 140 and 100.
20
Calculate the highest common divisor of 48 and 444.
12
Calculate the greatest common factor of 2648 and 8.
8
What is the highest common divisor of 23684 and 124?
124
Calculate the highest common factor of 1177 and 4922.
107
Calculate the highest common divisor of 160 and 26720.
160
Calculate the highest common divisor of 68 and 52.
4
What is the greatest common factor of 99 and 1683?
99
What is the greatest common divisor of 98 and 13181?
49
Calculate the greatest common factor of 630 and 2961.
63
What is the highest common factor of 105 and 7?
7
What is the greatest common divisor of 38 and 158?
2
Calculate the highest common divisor of 57 and 76.
19
Calculate the greatest common factor of 935 and 170.
85
Calculate the highest common factor of 4773 and 387.
129
What is the greatest common divisor of 32 and 12?
4
Calculate the greatest common divisor of 2697 and 93.
93
Calculate the highest common divisor of 48 and 20592.
48
What is the highest common divisor of 88 and 308?
44
What is the highest common divisor of 1105 and 34?
17
Calculate the highest common factor of 16 and 536.
8
What is the greatest common divisor of 5828 and 248?
124
What is the highest common divisor of 46 and 102?
2
Calculate the highest common divisor of 574 and 112.
14
What is the highest common factor of 71 and 2911?
71
Calculate the greatest common divisor of 133 and 7.
7
Calculate the highest common factor of 33 and 836.
11
What is the greatest common factor of 2 and 11?
1
Calculate the greatest common factor of 1846 and 284.
142
Calculate the highest common factor of 495 and 11715.
165
Calculate the greatest common factor of 30 and 75.
15
What is the greatest common divisor of 1152 and 216?
72
What is the greatest common factor of 39 and 69?
3
Calculate the highest common divisor of 217 and 62.
31
Calculate the greatest common divisor of 10933 and 3393.
377
Calculate the greatest common divisor of 24 and 176.
8
What is the greatest common divisor of 30 and 555?
15
What is the greatest common factor of 45 and 1125?
45
Calculate the highest common factor of 11 and 52.
1
Calculate the highest common factor of 15 and 69.
3
Calculate the greatest common factor of 728 and 287.
7
What is the greatest common factor of 196 and 56?
28
What is the greatest common factor of 69 and 92?
23
What is the highest common divisor of 155 and 496?
31
What is the greatest common divisor of 2108 and 136?
68
What is the greatest common factor of 147 and 336?
21
Calculate the greatest common divisor of 19 and 113.
1
What is the highest common factor of 3472 and 372?
124
What is the greatest common divisor of 54 and 42?
6
Calculate the greatest common factor of 32 and 956.
4
Calculate the greatest common factor of 29 and 58.
29
Calculate the greatest common factor of 152 and 171.
19
What is the greatest common factor of 2537 and 129?
43
What is the highest common factor of 71 and 142?
71
What is the highest common factor of 60 and 555?
15
What is the greatest common divisor of 54 and 135?
27
Calculate the highest common factor of 11530 and 10.
10
Calculate the highest common divisor of 245 and 70.
35
What is the highest common factor of 524 and 10611?
131
What is the highest common divisor of 2 and 1478?
2
What is the highest common divisor of 170 and 290?
10
Calculate the greatest common divisor of 60 and 45.
15
Calculate the greatest common divisor of 24 and 768.
24
What is the highest common factor of 435 and 10?
5
What is the greatest common divisor of 1066 and 26?
26
Calculate the highest common factor of 219 and 5694.
219
What is the highest common divisor of 8 and 18728?
8
Calculate the greatest common factor of 462 and 88.
22
Calculate the highest common divisor of 21907 and 19.
19
Calculate the highest common divisor of 8 and 7688.
8
What is the greatest common factor of 28 and 189?
7
What is the greatest common divisor of 14 and 142?
2
Calculate the highest common divisor of 91 and 572.
13
Calculate the greatest common divisor of 1008 and 63.
63
Calculate the highest common factor of 360 and 14520.
120
What is the greatest common divisor of 7725 and 412?
103
Calculate the highest common divisor of 91 and 104.
13
Calculate the highest common factor of 310 and 30.
10
Calculate the greatest common divisor of 12260 and 60.
20
Calculate the highest common divisor of 64 and 5184.
64
Calculate the greatest common factor of 567 and 42.
21
Calculate the highest common factor of 44 and 418.
22
What is the greatest common divisor of 475 and 190?
95
Calculate the greatest common divisor of 8 and 416.
8
What is the highest common factor of 169 and 1222?
13
Calculate the greatest common factor of 75 and 5575.
25
Calculate the greatest common factor of 5 and 280.
5
Calculate the highest common factor of 2 and 26.
2
Calculate the greatest common factor of 1678 and 2.
2
Calculate the greatest common divisor of 470 and 30.
10
Calculate the greatest common divisor of 10 and 310.
10
What is the greatest common divisor of 1226 and 2?
2
Calculate the highest common divisor of 68 and 51.
17
Calculate the highest common divisor of 468 and 225.
9
Calculate the greatest common factor of 560 and 32.
16
Calculate the greatest common divisor of 2 and 13.
1
What is the greatest common factor of 8374 and 474?
158
Calculate the highest common factor of 117 and 312.
39
What is the greatest common divisor of 40 and 260?
20
What is the greatest common factor of 118 and 826?
118
What is the greatest common divisor of 124 and 496?
124
What is the highest common factor of 940 and 80?
20
What is the greatest common divisor of 715 and 275?
55
What is the greatest common factor of 12056 and 44?
44
What is the highest common factor of 18 | {
"pile_set_name": "DM Mathematics"
} |
ng order.
0.5, 0.2, 0.11, 0.1, -5
Sort -1, 1/3, -2/7, 27, 3 in decreasing order.
27, 3, 1/3, -2/7, -1
Put 3, -42, 0, 2 in ascending order.
-42, 0, 2, 3
Sort -1, -71, 2 in increasing order.
-71, -1, 2
Sort 155, -5, -2/7, 0.5 in ascending order.
-5, -2/7, 0.5, 155
Sort -5, -0.1, -0.02, 133, -4 in ascending order.
-5, -4, -0.1, -0.02, 133
Put -1, 4, -222 in decreasing order.
4, -1, -222
Put 3, 7, -19 in increasing order.
-19, 3, 7
Sort 0, 2/5, -3, -0.3, -311 in decreasing order.
2/5, 0, -0.3, -3, -311
Sort -2, 2, 3, -6 in ascending order.
-6, -2, 2, 3
Put 3, -135, 37 in ascending order.
-135, 3, 37
Put 56, 3, 5 in descending order.
56, 5, 3
Sort 3, -9, 0, -3 in ascending order.
-9, -3, 0, 3
Sort -17, -2, 4, 190.
-17, -2, 4, 190
Sort 1/4, 4, 1, -5.
-5, 1/4, 1, 4
Put 3/8, 14, 5, 2/19 in decreasing order.
14, 5, 3/8, 2/19
Put 0.6, 4, -0.4, -0.2 in decreasing order.
4, 0.6, -0.2, -0.4
Put -4, -127, 5 in descending order.
5, -4, -127
Put 2, -4, 99 in increasing order.
-4, 2, 99
Sort 39/4, -2/3, -0.01.
-2/3, -0.01, 39/4
Sort -3, 1, 46.
-3, 1, 46
Put 3, 1, 0.5, -3.9, 2 in decreasing order.
3, 2, 1, 0.5, -3.9
Sort -8, -1, -2.3, -2/3, 0.5 in increasing order.
-8, -2.3, -1, -2/3, 0.5
Sort 10, -0.1, -7, -4, 2/9.
-7, -4, -0.1, 2/9, 10
Put 0, -10, 2, 28 in ascending order.
-10, 0, 2, 28
Sort -56, -2, 3 in descending order.
3, -2, -56
Put -4, -12, 44, -0.5 in decreasing order.
44, -0.5, -4, -12
Sort 4, 3, 1/11, -34, 1 in increasing order.
-34, 1/11, 1, 3, 4
Sort 2/11, -37.6, 1/2 in descending order.
1/2, 2/11, -37.6
Sort 5, -2, -13, 18 in decreasing order.
18, 5, -2, -13
Sort -15/8, -4, -1.
-4, -15/8, -1
Put 20, -8/7, 5 in descending order.
20, 5, -8/7
Sort 18, -2, 5 in descending order.
18, 5, -2
Sort 1910, 5, -2/21 in decreasing order.
1910, 5, -2/21
Sort 10/11, 8, -0.04 in increasing order.
-0.04, 10/11, 8
Put 1, -431, -5 in decreasing order.
1, -5, -431
Sort -8, 5, -1 in descending order.
5, -1, -8
Sort 0, -4, -3, 3 in increasing order.
-4, -3, 0, 3
Sort 2176, -3, 2/5 in decreasing order.
2176, 2/5, -3
Put 188, 3, -3/4, -1, -0.2 in decreasing order.
188, 3, -0.2, -3/4, -1
Put -22, 4, 26 in decreasing order.
26, 4, -22
Put -2, 2, -4, -3, 10 in decreasing order.
10, 2, -2, -3, -4
Put -0.4, -2/17, -1.6 in increasing order.
-1.6, -0.4, -2/17
Sort 1/31, -10/3, 1/5 in ascending order.
-10/3, 1/31, 1/5
Sort 1.2, 0.2, 2/5, -141 in descending order.
1.2, 2/5, 0.2, -141
Put -11, -2, -3, -0.11 in descending order.
-0.11, -2, -3, -11
Sort 4, 5, -3, -20 in decreasing order.
5, 4, -3, -20
Sort -4, 1, 7, -6 in ascending order.
-6, -4, 1, 7
Sort -2, 44, 4.
-2, 4, 44
Sort 3, -4, -27, 5 in increasing order.
-27, -4, 3, 5
Put 1, 2, -2, 85, -1 in decreasing order.
85, 2, 1, -1, -2
Sort 2, -2, 4, 1 in decreasing order.
4, 2, 1, -2
Put -4, 2, 4/59, 0.1 in decreasing order.
2, 0.1, 4/59, -4
Put 4, 1, -4, -2 in ascending order.
-4, -2, 1, 4
Sort 1/8, -0.05, -0.02, -1/2 in decreasing order.
1/8, -0.02, -0.05, -1/2
Sort 5, -0.04, 4, -2/9 in decreasing order.
5, 4, -0.04, -2/9
Sort 22, 3, 4 in ascending order.
3, 4, 22
Sort -0.4, 1, -88 in ascending order.
-88, -0.4, 1
Sort -2, 0, 2, 8 in increasing order.
-2, 0, 2, 8
Sort -3/7, -0.4, 4, 0.05 in descending order.
4, 0.05, -0.4, -3/7
Put 5, 2/9, 2, 2375 in decreasing order.
2375, 5, 2, 2/9
Sort -0.3, 0.8, 3, 5 in descending order.
5, 3, 0.8, -0.3
Put 1, -27, 0, 1/2 in descending order.
1, 1/2, 0, -27
Put 6, -5, 24 in increasing order.
-5, 6, 24
Put 3, -5, -4, 5, 11 in decreasing order.
11, 5, 3, -4, -5
Sort 17, 1, -4, -5 in decreasing order.
17, 1, -4, -5
Put 1, 4, -10, 0, 5 in increasing order.
-10, 0, 1, 4, 5
Put -2/3, 14/3, -10 in increasing order.
-10, -2/3, 14/3
Sort -6, -5, 12, -1 in decreasing order.
12, -1, -5, -6
Sort 3, -1, 48, -5 in decreasing order.
48, 3, -1, -5
Put -2/7, -5, 0.06, -7 in decreasing order.
0.06, -2/7, -5, -7
Sort 1, -4, 0, -3, -246 in increasing order.
-246, -4, -3, 0, 1
Sort -1, -3, 3, -50, 0 in descending order.
3, 0, -1, -3, -50
Sort 2, 79, 5 in decreasing order.
79, 5, 2
Sort 100, 1, 14 in descending order.
100, 14, 1
Sort 5, -233, 1, 4, 2.
-233, 1, 2, 4, 5
Sort -1/6, -0.05, -0.02, -3 in decreasing order.
-0.02, -0.05, -1/6, -3
Put -23, 2, 0 in decreasing order.
2, 0, -23
Sort 0, 2, 12 in increasing order.
0, 2, 12
Put -4, -1, 4, 1, 45 in ascending order.
-4, -1, 1, 4, 45
Sort -1/9, -3/2, 1/4, -1 in ascending order.
-3/2, -1, -1/9, 1/4
Sort 114, 1, 5 in ascending order.
1, 5, 114
Put -111/5, -1, 3/4 in decreasing order.
3/4, -1, -111/5
Put -0.123, -2/9, 3/4, -2/7 in descending order.
3/4, -0.123, -2/9, -2/7
Sort 0.4, -0.09, 3.
-0.09, 0.4, 3
Sort 4, -1/117, -3, 3/11 in increasing order.
-3, -1/117, 3/11, 4
Put -2, 0.1, 1/2, -2/11 in descending order.
1/2, 0.1, -2/11, -2
Sort -0.3, 0.1, 1, 2/31.
-0.3, 2/31, 0.1, 1
Sort 8, 7, 48 in decreasing order.
48, 8, 7
Sort 2, -32, 5, 43, 3.
-32, 2, 3, 5, 43
Sort 7, 0.5, -39.
-39, 0.5, 7
Put 2, -28, 3 in ascending order.
-28, 2, 3
Sort -4, 4, 7 in increasing order.
-4, 4, 7
Put -0.4, 0, -0.06, -1/11, 3 in increasing order.
-0.4, -1/11, -0.06, 0, 3
Sort -266, -4, 19 in ascending order.
-266, -4, 19
Sort 337, -1, -4, 4 in increasing order.
-4, -1, 4, 337
Sort 0, -13.3, 4 in ascending order.
-13.3, 0, 4
Sort 1, -1, 20.
-1, 1, 20
Sort -3, 0, 0.13 in decreasing order.
0.13, 0, -3
Put -15, 4, 1, -2, -1 in decreasing order.
4, 1, -1, -2, -15
Put 1, 238, 5 in descending order.
238, 5, 1
Put 1, -3, -6, 5 in decreasing order.
5, 1, -3, -6
Put -2/13, -5, -4, 0.9 in descending order.
0.9, -2/13, -4, -5
Sort -2, 1, -333 in ascending order.
-333, -2, 1
Sort 26, -4, -2, -3.
-4, -3, -2, 26
Sort -43, -1, 1 in decreasing order.
1, -1, -43
Sort -5, 106, -4, 5.
-5, -4, 5, 106
Sort 1.3, 6, -0.3.
-0.3, 1.3, 6
Sort 0.1, 2, 133, 2/7.
0.1, 2/7, 2, 133
Put -0.1, 135/7, 3/4 in descending order.
135/7, 3/4, -0.1
Sort 1/8, 2/13, 18.
1/8, 2/13, 18
Put 6, 14, 1, 4, -0.4 in decreasing order.
14, 6, 4, 1, -0.4
Put -466, -2/13, -0.18, 4 in descending order.
4, -2/13, -0.18, -466
Sort -4, -26, 0 in increasing order.
-26, -4, 0
Sort -11, 7, -1, 0.3 in increasing order.
-11, -1, 0.3, 7
Sort 1, 0, 33, -0.6.
-0.6, 0, 1, 33
Put -4, 3, 120, 5 in descending order.
120, 5, 3, -4
Put 1170, -2, 1, 4, -5 in descending order.
1170, 4, 1, -2, -5
Sort -4, 1960, 5, 3 in decreasing order.
1960, 5, 3, -4
Sort -971, 2/7, -4 in ascending order.
-971, -4, 2/7
Sort 5, -149/2, 0, -0.1 in decreasing order.
5, 0, -0.1, -149/2
Sort 1, 2/3, 4, -3.532 in decreasing order.
4, 1, 2/3, -3.532
Put 86, 2, -10 in decreasing order.
86, 2, -10
Sort -61, -5, 5, -2.
-61, -5, -2, 5
Sort 5/2, -6, -11.5 in increasing order.
-11.5, -6, 5/2
Put -3/2, 13, -2, -0.3 in increasing order.
-2, -3/2, -0.3, 13
Sort 1, -1, 29, 0, -4 in decreasing order.
29, 1, 0, -1, -4
Sort -0.5, 1/6, 1, 4, -3/4 in descending order.
4, 1, 1/6, -0.5, -3/4
Sort 2, -1, -5, -28 in decreasing order.
2, -1, -5, -28
Put 3, -56, -2, -4 in increasing order.
-56, -4, -2, 3
Put 8, -6, -2, 4 in increasing order.
-6, -2, 4, 8
Put -7, 2, -2 in increasing order.
-7, -2, 2
Sort 30, -3, 4 in descending order.
30, 4, -3
Sort 25, -5, 3, 32, 2 in increasing order.
-5, 2, 3, 25, 32
Put -10, -3, 2/11 in descending order.
2/11, -3, -10
Sort 15, -1, -4, -5 in ascending order.
-5, -4, -1, 15
Sort -0.2, 0, 2/17, 18 in ascending order.
-0.2, 0, 2/17, 18
Put -0.1, 3093, 1, -0.3 in descending order.
3093, 1, -0.1, -0.3
Sort -33, -4, -1, -0.4, 1 in descending order.
1, -0.4, -1, -4, -33
Sort 13, -13, 0, -3.
-13, -3, 0, 13
Put 0.4, 572, -4 in increasing order.
-4, 0.4, 572
Sort 38, 4, 5 in increasing order.
4, 5, 38
Put -4, -1, 0, 138 in decreasing order.
138, 0, -1, -4
Sort -1, 11, -0.82, -0.08.
-1, -0.82, -0.08, 11
Sort -1, 20, 3 in decreasing order.
20, 3, -1
Sort -0.3, 3, 18/11.
-0.3, 18/11, 3
Sort 0, -1, 2, 4 in descending order.
4, 2, 0, -1
Sort 2, -3, 31, 10 in descending order.
31, 10, 2, -3
Sort -2, -21, -1 in decreasing order.
-1, -2, -21
Put 1, 4, 2, 0.3, -128 in descending order.
4, 2, 1, 0.3, -128
Put 4, 3, 45, -1 in ascending order.
-1, 3, 4, 45
Put 200, 4, 3 in increasing order.
3, 4, 200
Put 4752, -2, 0.1 in ascending order.
-2, 0.1, 4752
Put -2, 5, -5, 4, 73 in decreasing order.
73, 5, 4, -2, -5
Sort -0.09, -2, 218 in ascending order.
-2, -0.09, 218
Sort -1, 930, -4, -5, 5 | {
"pile_set_name": "DM Mathematics"
} |
ommon factor of 1364 and 868.
124
Calculate the highest common factor of 3 and 1.
1
What is the highest common factor of 40 and 1960?
40
What is the greatest common factor of 5888 and 1656?
184
Calculate the greatest common factor of 26 and 3133.
13
Calculate the greatest common divisor of 385 and 5313.
77
Calculate the highest common factor of 37914 and 213.
213
What is the highest common factor of 2 and 6671?
1
Calculate the greatest common divisor of 1781 and 208.
13
Calculate the highest common divisor of 253 and 99.
11
Calculate the greatest common factor of 130 and 65.
65
What is the greatest common factor of 21877 and 131?
131
Calculate the greatest common divisor of 165 and 75.
15
What is the highest common divisor of 15 and 3495?
15
Calculate the greatest common divisor of 584 and 24.
8
What is the greatest common factor of 45 and 465?
15
What is the highest common divisor of 6 and 738?
6
What is the highest common factor of 2541 and 105?
21
What is the highest common factor of 25 and 13225?
25
What is the highest common divisor of 6 and 12048?
6
Calculate the highest common divisor of 512 and 272.
16
What is the highest common divisor of 261 and 58?
29
Calculate the highest common divisor of 29516 and 188.
188
Calculate the highest common divisor of 5 and 25.
5
What is the greatest common divisor of 3 and 6?
3
What is the highest common factor of 76 and 190?
38
What is the highest common divisor of 19234 and 354?
118
Calculate the highest common divisor of 3832 and 24.
8
What is the highest common divisor of 6970 and 170?
170
Calculate the greatest common factor of 11800 and 400.
200
What is the highest common factor of 418 and 88?
22
What is the greatest common divisor of 270 and 450?
90
What is the highest common divisor of 969 and 114?
57
What is the greatest common factor of 88 and 64?
8
What is the highest common factor of 24 and 696?
24
Calculate the greatest common factor of 400 and 160.
80
What is the highest common factor of 1391 and 13?
13
Calculate the highest common factor of 8282 and 246.
82
What is the highest common factor of 103 and 23999?
103
What is the greatest common factor of 2047 and 115?
23
What is the greatest common divisor of 186 and 2511?
93
Calculate the highest common divisor of 976 and 16.
16
What is the highest common factor of 19 and 19?
19
Calculate the highest common divisor of 438 and 12.
6
What is the greatest common factor of 7055 and 83?
83
Calculate the greatest common factor of 198 and 264.
66
What is the highest common divisor of 3162 and 204?
102
Calculate the greatest common divisor of 3741 and 87.
87
Calculate the greatest common factor of 2 and 16.
2
Calculate the greatest common divisor of 5 and 65.
5
What is the greatest common divisor of 1020 and 60?
60
Calculate the highest common factor of 5 and 1445.
5
What is the highest common divisor of 35 and 1475?
5
What is the highest common factor of 2665 and 20?
5
Calculate the greatest common factor of 672 and 1596.
84
Calculate the highest common factor of 120 and 870.
30
Calculate the highest common divisor of 272 and 108.
4
What is the greatest common divisor of 33 and 11?
11
What is the greatest common divisor of 464 and 319?
29
What is the greatest common factor of 621 and 54?
27
Calculate the greatest common divisor of 5129 and 2899.
223
Calculate the highest common factor of 10 and 94.
2
Calculate the highest common factor of 7833 and 63.
21
Calculate the highest common divisor of 161 and 42.
7
What is the highest common factor of 32 and 544?
32
What is the highest common divisor of 1770 and 75?
15
Calculate the highest common divisor of 8 and 200.
8
What is the highest common divisor of 459 and 18?
9
Calculate the greatest common factor of 880 and 10.
10
Calculate the highest common factor of 779 and 41.
41
Calculate the greatest common factor of 90 and 1080.
90
What is the highest common factor of 78 and 702?
78
Calculate the highest common divisor of 267 and 356.
89
Calculate the highest common divisor of 153 and 187.
17
What is the highest common divisor of 2599 and 46?
23
Calculate the highest common factor of 56 and 40.
8
What is the highest common divisor of 84 and 1988?
28
What is the greatest common factor of 72 and 126?
18
Calculate the highest common factor of 10813 and 11.
11
What is the greatest common divisor of 72 and 72?
72
Calculate the greatest common factor of 185 and 2035.
185
Calculate the greatest common factor of 6437 and 82.
41
Calculate the highest common divisor of 12 and 852.
12
Calculate the greatest common divisor of 119 and 3689.
119
Calculate the greatest common factor of 156 and 572.
52
What is the highest common factor of 29 and 232?
29
Calculate the highest common factor of 1732 and 4.
4
Calculate the greatest common divisor of 2440 and 40.
40
Calculate the greatest common factor of 11 and 396.
11
What is the greatest common factor of 1813 and 49?
49
What is the highest common divisor of 10 and 4835?
5
What is the highest common divisor of 35 and 10?
5
What is the highest common divisor of 65 and 195?
65
Calculate the highest common divisor of 16 and 504.
8
What is the highest common factor of 1 and 19?
1
Calculate the highest common factor of 80 and 48.
16
Calculate the highest common factor of 21 and 231.
21
Calculate the highest common divisor of 497 and 7.
7
What is the highest common factor of 819 and 63?
63
Calculate the highest common divisor of 51200 and 100.
100
What is the greatest common factor of 17 and 1921?
17
What is the greatest common divisor of 623 and 356?
89
What is the highest common factor of 44 and 3366?
22
Calculate the highest common factor of 1008 and 938.
14
Calculate the highest common divisor of 3 and 129.
3
What is the greatest common divisor of 16 and 12?
4
Calculate the greatest common divisor of 510 and 102.
102
What is the greatest common divisor of 130 and 975?
65
What is the highest common divisor of 488 and 671?
61
Calculate the highest common divisor of 2735 and 40.
5
What is the highest common factor of 6 and 174?
6
Calculate the highest common factor of 22971 and 247.
247
What is the highest common factor of 68 and 17204?
68
Calculate the highest common factor of 528 and 99.
33
What is the greatest common divisor of 2135 and 70?
35
What is the highest common divisor of 37 and 296?
37
What is the greatest common divisor of 3 and 81?
3
What is the greatest common divisor of 123 and 120171?
123
What is the highest common divisor of 14118 and 312?
78
What is the greatest common factor of 14 and 76?
2
Calculate the highest common divisor of 24 and 252.
12
Calculate the highest common divisor of 1530 and 50.
10
Calculate the highest common divisor of 68 and 884.
68
Calculate the highest common factor of 4032 and 2772.
252
Calculate the highest common factor of 245 and 392.
49
Calculate the highest common divisor of 8 and 13.
1
Calculate the greatest common divisor of 65 and 5.
5
Calculate the highest common divisor of 150 and 225.
75
Calculate the highest common divisor of 630 and 27.
9
What is the greatest common factor of 22596 and 84?
84
What is the highest common divisor of 195 and 52?
13
What is the highest common factor of 36585 and 27?
27
What is the greatest common factor of 64 and 88?
8
Calculate the highest common factor of 80 and 12.
4
Calculate the highest common factor of 69324 and 872.
436
Calculate the greatest common factor of 320 and 440.
40
What is the highest common divisor of 315 and 225?
45
Calculate the greatest common divisor of 400 and 28.
4
What is the highest common divisor of 7280 and 48?
16
What is the highest common divisor of 6 and 24?
6
Calculate the highest common factor of 282 and 13959.
141
Calculate the greatest common factor of 174 and 1334.
58
Calculate the highest common divisor of 1328 and 688.
16
Calculate the highest common divisor of 860 and 60.
20
Calculate the greatest common divisor of 5746 and 52.
26
What is the greatest common factor of 871 and 143?
13
Calculate the highest common divisor of 16 and 1384.
8
Calculate the highest common divisor of 96 and 15.
3
Calculate the greatest common divisor of 30 and 90.
30
Calculate the highest common factor of 53 and 5671.
53
Calculate the greatest common factor of 195 and 156 | {
"pile_set_name": "DM Mathematics"
} |
s prob of sequence pbft?
1/455
Four letters picked without replacement from zoovzaooiozaa. What is prob of sequence zvoz?
1/572
Four letters picked without replacement from bbbbbbbbbbbbkbbkbkbb. What is prob of sequence bkbk?
4/285
What is prob of sequence cc when two letters picked without replacement from {c: 16, p: 4}?
12/19
Two letters picked without replacement from {m: 1, p: 1, h: 6, y: 11}. What is prob of sequence py?
11/342
Calculate prob of sequence yy when two letters picked without replacement from {y: 6, g: 4}.
1/3
What is prob of sequence ivv when three letters picked without replacement from iiivivivvvvv?
7/44
Four letters picked without replacement from {d: 4, j: 2, x: 2}. What is prob of sequence jxjx?
1/420
Four letters picked without replacement from {g: 2, v: 5, x: 3, c: 3, h: 5}. Give prob of sequence hvgv.
5/1836
What is prob of sequence qlbb when four letters picked without replacement from qbllqlbl?
1/105
Two letters picked without replacement from woowssqwwl. What is prob of sequence qw?
2/45
Two letters picked without replacement from {e: 2, x: 2, b: 5, t: 3}. What is prob of sequence ex?
1/33
What is prob of sequence bb when two letters picked without replacement from {g: 1, c: 6, o: 8, n: 1, b: 4}?
3/95
Calculate prob of sequence nnnf when four letters picked without replacement from nnnnnnfnnnnnfnnnnn.
14/153
Two letters picked without replacement from kkwkkwkkkkkk. Give prob of sequence kw.
5/33
Two letters picked without replacement from {s: 2, j: 3, x: 3}. Give prob of sequence jj.
3/28
Calculate prob of sequence oq when two letters picked without replacement from fffflqoaafowl.
1/78
Calculate prob of sequence vtt when three letters picked without replacement from vvttfc.
1/30
Three letters picked without replacement from bzzjjjkttffjbj. What is prob of sequence kbt?
1/546
Calculate prob of sequence kzzz when four letters picked without replacement from {z: 4, k: 10}.
10/1001
What is prob of sequence eee when three letters picked without replacement from {e: 6}?
1
Four letters picked without replacement from nznnnnzznnnsznznnnnn. What is prob of sequence znsz?
7/2907
What is prob of sequence kggk when four letters picked without replacement from {g: 5, k: 7}?
7/99
Calculate prob of sequence oxo when three letters picked without replacement from oxoxooooooooooooox.
35/272
Two letters picked without replacement from {b: 2, s: 1, r: 1, c: 1, g: 2}. What is prob of sequence sb?
1/21
Four letters picked without replacement from pppzpzpzpzzpp. Give prob of sequence zppz.
28/429
Two letters picked without replacement from {p: 1, b: 1, e: 1}. What is prob of sequence pe?
1/6
What is prob of sequence nw when two letters picked without replacement from {n: 1, y: 2, b: 3, w: 1, j: 3}?
1/90
What is prob of sequence nw when two letters picked without replacement from wnwwnwwwwwww?
5/33
Four letters picked without replacement from nznnnznznnznnn. What is prob of sequence nnnn?
30/143
Four letters picked without replacement from rrrrrfrrf. What is prob of sequence frrr?
5/36
Three letters picked without replacement from mfmcmmkkkmcemm. What is prob of sequence cem?
1/156
What is prob of sequence vvv when three letters picked without replacement from vvxxvvx?
4/35
What is prob of sequence zy when two letters picked without replacement from zyyzzzzzyzz?
12/55
Two letters picked without replacement from iinieipj. What is prob of sequence ii?
3/14
Calculate prob of sequence cysh when four letters picked without replacement from {s: 1, c: 1, y: 1, h: 1, z: 1}.
1/120
What is prob of sequence ii when two letters picked without replacement from {d: 4, u: 3, n: 1, i: 2, z: 4}?
1/91
Calculate prob of sequence ttkt when four letters picked without replacement from kvkttkvvktvvkkvvvtv.
1/646
Two letters picked without replacement from {r: 2, i: 8, j: 5}. Give prob of sequence ji.
4/21
Two letters picked without replacement from {r: 1, h: 8, j: 2, w: 3, a: 1, v: 1}. What is prob of sequence jj?
1/120
What is prob of sequence hk when two letters picked without replacement from hujkjupkkhcu?
1/22
Two letters picked without replacement from jjjpplppl. Give prob of sequence jl.
1/12
Four letters picked without replacement from {u: 6, k: 3, r: 1, q: 2, w: 2, b: 6}. What is prob of sequence bqrq?
1/9690
Three letters picked without replacement from hhcccchhhhh. What is prob of sequence hch?
28/165
Three letters picked without replacement from {e: 4, n: 2, l: 5, j: 4, d: 1}. What is prob of sequence jnj?
1/140
Four letters picked without replacement from {c: 6, p: 7, w: 4}. Give prob of sequence cppc.
3/136
What is prob of sequence tsuu when four letters picked without replacement from {k: 2, u: 2, s: 1, t: 1, j: 1}?
1/420
Two letters picked without replacement from vqvafvvffv. What is prob of sequence fa?
1/30
What is prob of sequence iob when three letters picked without replacement from iibo?
1/12
Calculate prob of sequence veo when three letters picked without replacement from {v: 3, y: 1, e: 3, w: 5, o: 1, l: 1}.
3/728
Calculate prob of sequence zmmn when four letters picked without replacement from mmpmpzpznm.
1/210
Four letters picked without replacement from jcbkkctckcgt. What is prob of sequence kbtj?
1/1980
Three letters picked without replacement from {r: 2, t: 2}. What is prob of sequence rtr?
1/6
Two letters picked without replacement from {s: 2, b: 2, y: 1, q: 1, m: 4, f: 4}. Give prob of sequence qy.
1/182
Three letters picked without replacement from keeeemkeemeekuke. Give prob of sequence kuk.
1/280
Calculate prob of sequence dd when two letters picked without replacement from {n: 2, d: 4, y: 3, b: 1}.
2/15
Three letters picked without replacement from nenvpnnpvennennnaevv. Give prob of sequence vpe.
4/855
Four letters picked without replacement from {i: 2, t: 5, e: 4, h: 2}. Give prob of sequence htit.
2/429
What is prob of sequence wvf when three letters picked without replacement from {j: 4, f: 5, c: 1, v: 1, w: 4}?
2/273
Four letters picked without replacement from fffttefptcftfefpevtv. Give prob of sequence pvct.
1/5814
Three letters picked without replacement from nnnzzznnxzzzz. Give prob of sequence nxn.
5/429
What is prob of sequence ss when two letters picked without replacement from wxwwsssqeexxwwq?
1/35
Calculate prob of sequence qotu when four letters picked without replacement from {z: 1, q: 1, o: 2, b: 1, u: 1, t: 2}.
1/420
Four letters picked without replacement from zhhhhzz. Give prob of sequence zhzh.
3/35
Calculate prob of sequence wt when two letters picked without replacement from ttttttttttwwt.
11/78
Four letters picked without replacement from {d: 7, w: 1, g: 1, t: 2, m: 4}. Give prob of sequence tdtg.
1/2340
Calculate prob of sequence oxy when three letters picked without replacement from ooyxyyo.
3/70
Three letters picked without replacement from {w: 2, r: 4, q: 2, m: 2}. What is prob of sequence qqr?
1/90
What is prob of sequence ibhb when four letters picked without replacement from hbdibhdbdd?
1/420
Calculate prob of sequence et when two letters picked without replacement from {e: 2, t: 6, c: 7}.
2/35
Two letters picked without replacement from {g: 1, n: 1, d: 4, y: 1, r: 4}. Give prob of sequence gd.
2/55
Calculate prob of sequence rz when two letters picked without replacement from rtetcvtvtttvzvtt.
1/240
What is prob of sequence ict when three letters picked without replacement from {i: 2, t: 6, w: 2, j: 3, c: 5}?
5/408
Two letters picked without replacement from {o: 2, v: 1, p: 1, j: 2}. Give prob of sequence ov.
1/15
Calculate prob of sequence bo when two letters picked without replacement from bdewubuwuobeded.
1/70
Two letters picked without replacement from kpakpazppppappaa. Give prob of sequence pz.
1/30
What is prob of sequence kkkk when four letters picked without replacement from kkkkkkkkk?
1
Calculate prob of sequence wx when two letters picked without replacement from xwgwlrlk.
1/28
What is prob of sequence okl when three letters picked without replacement from kolyaylo?
1/84
Two letters picked without replacement from {e: 8, d: 3}. What is prob of sequence dd?
3/55
Calculate prob of sequence wmwi when four letters picked without replacement from mimwywwiii.
1/105
What is prob of seque | {
"pile_set_name": "DM Mathematics"
} |
9, -3/10, h?
-3/10
Let q = 17.9 + -10.8. Let h = q - 7.6. What is the closest to 0 in h, 0, -4?
0
Let s = -4 - -2. Let y = -2.0035 - -0.0035. Which is the nearest to s? (a) -1 (b) -5 (c) y
c
Let o = 90 - 168. Let l be (33 - 27)*(-2)/o. Which is the closest to 1? (a) 3 (b) l (c) -0.1
b
Let k = 505 + -504.9. Which is the nearest to 1.8? (a) 1/3 (b) k (c) -0.2
a
Let y = 216.2 + -216. Let s = 22.997 - -0.003. What is the closest to y in -5, s, -3?
-3
Let p = 7 - 7. Let q(d) = -d**3 + 10*d**2 + 7. Let x be q(10). Let m be (1 + x/(-3))/((-240)/(-144)). Which is the closest to p? (a) -0.3 (b) -1 (c) m
a
Let c = -0.01 + -13.99. Let t = 9 + c. Let j be (-6)/(-18) - (-2)/(-6). What is the closest to 1 in -1/4, t, j?
j
Let y be 299/26*-1 - -11. What is the closest to y in 0.3, 18/11, 1?
0.3
Let f be 1680/3325 + 2/(-5). Which is the nearest to -7? (a) f (b) -4 (c) 11
b
Let y = 1449 - 1448. Which is the nearest to 0? (a) 3/100 (b) 5 (c) y
a
Let q(f) = 8*f + 192. Let p be q(-24). Let m = 6.8 + -7. Let r = 0.2 - m. What is the nearest to 0 in p, 4, r?
p
Suppose -2*x + 5*f = 3*f - 2, 2*x - 8 = 5*f. Let s = -85 - -158. Let j = s + -66. Which is the nearest to x? (a) -0.1 (b) j (c) 0.3
a
Let t = 0 + -0.2. Let z = 0.07 + -0.19. Let j = 0.08 - z. Which is the closest to j? (a) 0.4 (b) 5 (c) t
a
Let k = -27 - -28. Suppose 3*x - 10 = -k. Which is the nearest to 1? (a) -0.3 (b) -0.5 (c) x
a
Let o be ((-6)/(-21))/(15/(-7)). Let i = 45 + -46. Let q = -5.1 + 1.1. Which is the nearest to i? (a) -5 (b) q (c) o
c
Let t be (6/20)/((-15)/20). Which is the closest to -8? (a) 0.08 (b) -4 (c) t (d) 0.3
b
Suppose 3*m - 6 = 0, -2*m = -139*b + 143*b - 12. What is the closest to 3/7 in 8, b, 1, -1/2?
1
Let g = -362 - -4704/13. Which is the nearest to 1/2? (a) -3/4 (b) -4 (c) 1/3 (d) g
c
Let a(w) = w - 1. Let u be a(1). Suppose u = -5*d - d. What is the closest to 2/5 in 2, d, -2?
d
Let h(i) = -10*i**2 - 82*i - 20. Let u be h(-8). Suppose 2 = -3*z - 4. Which is the nearest to z? (a) u (b) -2/3 (c) 3
b
Let m be ((-3)/2)/(-1*(-12)/(-560)). Let h = m - 75. Which is the nearest to 1/2? (a) -1/9 (b) 5 (c) h
a
Suppose j + 6 = 2. Let h = -160 + 160.2. Let x be (-28)/(-20) + (-2)/5. Which is the nearest to x? (a) h (b) j (c) 1
c
Let k = -1.81 + 1.95. Which is the nearest to 1/4? (a) -1/2 (b) -2/3 (c) k
c
Let v be 78/27 + (-3 - 0). Let h = v - 1/9. What is the closest to 1 in -0.5, -0.1, h?
-0.1
Let g = 1925 + -1925. What is the closest to g in -1/6, 3.5, 0.3?
-1/6
Let t = 2.273 - 1.873. What is the nearest to -2/7 in -0.4, t, -17/5, -1/3?
-1/3
Let x be 1/2 - (-5)/(-8). Let q = -8.417 - -8.717. What is the nearest to -2/3 in q, 2, x?
x
Let m = 370.6 + -371. What is the nearest to 0 in m, -6, 5, -4?
m
Let f = 67/3 - 24. Which is the closest to -4/5? (a) -0.1 (b) 3/5 (c) 3 (d) f
a
Let v = 3 - 3.1. Let j = 9/14 - 1/2. Which is the nearest to v? (a) j (b) 0.5 (c) 5
a
Let q be -5 + (-255)/(-50) - (-9)/(-18). Which is the nearest to -12? (a) q (b) 1/2 (c) -3 (d) -3/4
c
Let p = -6 + 7. Let f(u) = -u**3 - 42*u**2 + 42*u - 39. Let h be f(-43). What is the closest to -0.1 in p, 0.1, h?
0.1
Let y = 0 + -1. Let h be 27/12*64/24. Let i be y*(-1 + 4/h). Which is the closest to -1? (a) 1/5 (b) -1/4 (c) i
b
Let y be -1 + -1 - (-1 - 2). Let v be 28/(-13) + y + 1. Let s = 4.271 - -1.729. What is the nearest to -0.1 in v, -0.1, s?
-0.1
Let v(u) = 16*u**3 + 2*u**2 + 4*u + 4. Let i be v(-1). Which is the closest to i? (a) 3 (b) -5 (c) 1 (d) -0.2
b
Let x = -2.79 + 4.16. Let f = x - 1.57. Let d = 1 + -0.9. Which is the closest to 1? (a) f (b) 4 (c) d
c
Let n = 11 - 10.6. Let f = -0.2 + 2.2. Let v = f + -1.7. Which is the closest to -1? (a) -1/7 (b) n (c) v
a
Let n = 64725070/2107 - 246664261069/7943390. Let r = n + 9621/29. Let k = 24/13 + r. What is the nearest to 1 in 0.5, 0.3, k?
0.5
Let u be 13/65 + 744/(-70). Let h = u - -10. Which is the nearest to -1? (a) 2/3 (b) h (c) 5
b
Let a(z) = -2*z**3 + 6*z**2 - 2*z + 5. Let w be a(-4). Let u = w - 2131/9. What is the closest to -2 in -0.4, u, 2/13?
-0.4
Let v = -1298/9 - -144. What is the closest to -1/7 in -3, v, -1/8?
-1/8
Let l = 0.8 - 0.3. Let y = -14 - 55. Let h = -71 - y. Which is the nearest to -0.1? (a) h (b) l (c) 2/3
b
Let d = -0.04 - 0.1. Let o = d + 0.24. What is the nearest to o in 0.3, 5, -2/13?
0.3
Let r be 8/(-20) - (-10388)/120. Let q = r + -86. Let j = -0.09 - -4.09. What is the nearest to -0.4 in -2, j, q?
q
Let s = -592 + 593. Which is the closest to 24/5? (a) 2/11 (b) -2 (c) 2 (d) s
c
Let o = -14.14 - -13.8. Which is the nearest to 0? (a) -3 (b) 1 (c) o (d) 2/15
d
Let w = 74 - 79. What is the closest to 1 in 3, -22, w?
3
Let q = 0.3 - 1.3. Let j be 6*-1 + ((-71)/3 - -30). Which is the nearest to q? (a) j (b) -7/5 (c) -5
b
Let w = 108.2 - 108. Let n = -4 + 9. What is the closest to 2/3 in -1.4, n, w?
w
Let y = 59/60 - 11/15. Which is the nearest to y? (a) 3/4 (b) -3/2 (c) -15 (d) 0.1
d
Let u = -248 - -248.03. What is the closest to -2 in 5, -1, u?
-1
Suppose 5*z + 4*r - 66 = 0, 3*z - 3*r = 2*z + 17. Let i = z + -10. Let u = -41/48 - -3/16. Which is the closest to -1? (a) i (b) -3 (c) u
c
Suppose 4 = -3*j + 16. Which is the closest to -1/4? (a) -1 (b) j (c) -48
a
Let r(x) = -x**2 + 12*x - 8. Let v be r(11). Let q = 420 + -420.3. Which is the closest to -2/13? (a) q (b) v (c) -1
a
Let v = 948 + -947.8. Let z = 6.4 + -1.4. What is the nearest to z in 1/7, 0, v?
v
Suppose 148 = 6*b + 172. What is the nearest to -4.5 in b, 0.2, 3?
b
Let z = -2 + 2.5. Let p = -155 + 148.7. Let g = p - -1.3. What is the nearest to -1/3 in g, z, 0.3?
0.3
Let i = -35.1 - -35. Let y be (-2)/(-10) - 6/(-120). Which is the closest to i? (a) y (b) 1 (c) -2/9
c
Suppose -3*s - 12 = 0, s = 2*v - 3*s - 26. Let j = -69 - -69. Let m = v + j. Which is the nearest to 0? (a) -1/2 (b) m (c) -4
a
Let l = 92 - 64. Let x = l - 28. What is the closest to x in 0, -3, -5?
0
Let g(h) = -h**2 + 6*h + 4. Let x be g(6). Let y = -1.22 - -1.22. Let t = 49/2 - 24. Which is the closest to t? (a) y (b) -2 (c) x
a
Suppose 0 = 4*s + 2 - 22, 115 = 3*y + 2*s. Suppose y*j + 3 = 32*j. What is the closest to j in 0.3, 1/2, -5?
0.3
Let b(w) = -w**2 - w**2 - w + 4*w**2 + 1 - 2. Let a be b(2). Let t = 115 - 802/7. What is the closest to 2/9 in t, -3, a?
t
Let r = 547/3 - 184. Let w = 793 + -792. Which is the nearest to w? (a) r (b) 0.4 (c) 1
c
Let t = 52 + -48. Let l be -1 + (1 - (-3)/2). Let j = 22 + -22. What is the nearest to l in 2, t, j?
2
Let h = -0.2 + 4.2. Let v = -2.312 + 3.312. Which is the closest to v? (a) -0.1 (b) -0.5 (c) h
a
Let j be 106/(-22) - (-15 - -21 - 11). Which is the nearest to 31? (a) 2/7 (b) -0.2 (c) j
a
Let u = -594.9 - -651. Let g = u - 53.07. Let f = g + -0.03. Which is the closest to 0? (a) -5 (b) -0.1 (c) f
b
Suppose -5*p + 25 = 5*v, -4*p + 4*v + 20 = -v. Which is the nearest to 5? (a) 2/3 (b) p (c) 4
b
Let m = -1070 + 1067. What is the nearest to 0.1 in 1, -2, 1/2, m?
1/2
Suppose 6205*n - 6188*n = -85. Which is the closest to 0? (a) -13 (b) 3/5 (c) n (d) -1
b
Let f = -5.3 + 5. Suppose 0*y = -y - 35. Let h be y/(-10) + 3/2. Which is the nearest to 2/5? (a) h (b) -1 (c) f
c
Suppose 3*m = u - 24, 5*u - m + 0*m - 64 = 0. Let k be (3/u)/((-49)/(-112)). What is the closest to 3/5 in 2, 1, k?
k
Let x(l) = -l**3 + 5*l**2 + 5. Let f be x(5). Suppose 8*k = f*k + 15. Let d = 141 - 142. Which is the nearest to -0.1? (a) k (b) d (c) 3
b
Let u be 4/(8/6) + (-17)/6. Which is the closest to 0? (a) -0.11 (b) u (c) 0.3
a
Let a = 2.9 + -2.5. Suppose -7 - 3 = -5*x. What is the nearest to -1 in x, a, -1/2?
-1/2
Let u = 3.52 + -4.52. Let k = -8 - -9. What is the nearest to k in 2, u, -2?
2
Let r = 1380 - 1379.9. Let d = 0.1 - 0.1. Which is the closest to 2/3? (a) r (b) 2 (c) d
a
Let f be 190/14 - 12/(-28). Suppose -2*r + d - f = -d, -4*r + 3*d - 23 = 0. What is the nearest to 2 in 3, -0.1, r?
3
Let y = 769 - 770. Which is the nearest to 0.34? (a) y (b) -0.2 (c) 0
c
Let o = 0.149 + -18.149. Let t = 51 - 34. Let v = t + o. Which is the nearest to v? (a) -1 (b) -0.3 (c) 0
a
Let h = 360.5 - 363. What is the closest to h in 5, -3, -0.3?
-3
Let g = 3 + | {
"pile_set_name": "DM Mathematics"
} |
7
-12546 divided by 18
-697
Divide -52458 by 44.
-26229/22
Calculate -1134216 divided by 356.
-3186
Divide 3 by 678929.
3/678929
Calculate -885317 divided by 5.
-885317/5
-3 divided by -149819
3/149819
Calculate 110 divided by -1062.
-55/531
Calculate -47499 divided by -47499.
1
4 divided by -79285
-4/79285
-4043472 divided by -4
1010868
Divide -878886 by -2826.
311
14697 divided by -69
-213
Calculate 1 divided by -587.
-1/587
53 divided by -61076
-53/61076
-22 divided by -347
22/347
-3530956 divided by -11
320996
Calculate 1376178 divided by -37.
-37194
What is 117695 divided by -5?
-23539
Calculate 4704 divided by -7.
-672
1 divided by -6504
-1/6504
Divide -29 by 6012.
-29/6012
Divide 2 by -185023.
-2/185023
Calculate -20125 divided by 35.
-575
Calculate 1 divided by 4763.
1/4763
What is -11 divided by 242387?
-11/242387
5130450 divided by -325
-15786
Calculate -4 divided by 261251.
-4/261251
Divide -153 by -1492.
153/1492
What is 96292 divided by -6?
-48146/3
Divide -6083 by -7.
869
Divide -4 by 13140.
-1/3285
-1 divided by -168083
1/168083
Divide 188905 by -188905.
-1
Divide 1700 by -7.
-1700/7
Calculate -4907 divided by 1.
-4907
0 divided by -58734
0
What is -4432814 divided by -31?
142994
941201 divided by -2
-941201/2
-1002924 divided by 4286
-234
Divide -108299 by 1.
-108299
Calculate -32984 divided by 14.
-2356
Divide -95 by -109.
95/109
1 divided by 10437
1/10437
Calculate 2095 divided by 8.
2095/8
What is -20 divided by 12014?
-10/6007
Calculate 126 divided by -737.
-126/737
What is 63504 divided by 31752?
2
-1424375 divided by -284875
5
Divide 0 by -182757.
0
Divide -703875 by 25.
-28155
Calculate 174177 divided by 9.
19353
Calculate -66 divided by 12.
-11/2
Divide -5024 by 11.
-5024/11
Calculate 11475 divided by 2295.
5
Divide -15696 by -7848.
2
Divide 75355 by -2153.
-35
What is 1453628 divided by 363407?
4
Calculate 20916 divided by 581.
36
What is -17442 divided by 3?
-5814
7255761 divided by 3
2418587
Calculate 29699 divided by 29699.
1
Divide -109384 by 452.
-242
Divide 21 by 45.
7/15
Divide 0 by -19443.
0
What is 1323653 divided by -18643?
-71
Calculate 1327 divided by 6.
1327/6
Divide -19278 by -6.
3213
What is -23212 divided by 107?
-23212/107
330050 divided by 230
1435
Calculate 10993 divided by -1.
-10993
Divide -254560 by 10.
-25456
Calculate 9118890 divided by -1823778.
-5
What is 0 divided by -157066?
0
Divide -313187 by 7.
-44741
Divide 0 by 168460.
0
Divide -3 by 4199.
-3/4199
-8781 divided by -47
8781/47
115245 divided by -23049
-5
What is 4 divided by -16368?
-1/4092
Calculate 1645526 divided by 2.
822763
57 divided by 1762
57/1762
What is -4 divided by -11915?
4/11915
Calculate -400244 divided by 26.
-15394
Calculate -79 divided by -3751.
79/3751
-18 divided by -12281
18/12281
Calculate -830574 divided by -54.
15381
What is 860 divided by -602?
-10/7
-2299741 divided by 121039
-19
Calculate -279456 divided by 32.
-8733
Calculate -11 divided by 9208.
-11/9208
70 divided by 191
70/191
-626575 divided by 5
-125315
What is 115903 divided by 5?
115903/5
What is 132194 divided by -314?
-421
What is 444620 divided by -188?
-2365
What is -2 divided by 165531?
-2/165531
What is -919 divided by 1?
-919
Divide 2 by -3651.
-2/3651
Divide -483208 by 10982.
-44
Calculate 240374 divided by -2.
-120187
Calculate 152192 divided by -164.
-928
Calculate 129884 divided by 64942.
2
What is -1683576 divided by -1396?
1206
What is -382430 divided by -4?
191215/2
-3271352 divided by -2
1635676
-71195 divided by 5
-14239
-4405726 divided by 2
-2202863
35691 divided by -1
-35691
2283 divided by -22
-2283/22
Calculate 1839950 divided by 14.
131425
What is 239 divided by 1238?
239/1238
Calculate 1814 divided by 82.
907/41
What is 66624 divided by -22208?
-3
Calculate -36197 divided by -2.
36197/2
Divide 75542 by 214.
353
Calculate -902 divided by 175.
-902/175
Divide 6077 by -351.
-6077/351
Divide 13138 by -29.
-13138/29
-228615 divided by 2
-228615/2
Divide -22650 by 2.
-11325
Calculate -27340 divided by -5.
5468
313606 divided by 2
156803
Calculate 12634 divided by 59.
12634/59
Divide 804699 by 1687.
477
Calculate -1 divided by -6029.
1/6029
Calculate 43959 divided by 2.
43959/2
Divide 3 by 66087.
1/22029
What is 217124 divided by 14?
108562/7
What is -2 divided by -1545065?
2/1545065
20031 divided by -6677
-3
What is -68622 divided by 6?
-11437
What is -324498 divided by 3?
-108166
Calculate 6350 divided by -4.
-3175/2
Divide -1 by -523479.
1/523479
-16 divided by -290921
16/290921
Divide 754896 by -4.
-188724
1 divided by 667346
1/667346
Divide -81535 by 16307.
-5
Calculate -915 divided by -5.
183
What is 64 divided by 64199?
64/64199
-22704 divided by 172
-132
Calculate 6 divided by 370.
3/185
-18156 divided by -3
6052
What is 1045 divided by 3?
1045/3
Divide -1267 by -39.
1267/39
What is 406 divided by 40?
203/20
What is -122 divided by -7247?
122/7247
-7091 divided by -1
7091
Divide 130768 by 743.
176
-24719 divided by -7
24719/7
What is 162 divided by 10966?
81/5483
What is 252 divided by -3?
-84
What is -761765 divided by 152353?
-5
What is -3673360 divided by 734672?
-5
Divide -451703 by 4.
-451703/4
Divide -1628346 by 1338.
-1217
Divide 19760 by 380.
52
What is -2433 divided by 47?
-2433/47
Calculate 105 divided by 652.
105/652
What is 13 divided by 26948?
13/26948
-486154 divided by 1
-486154
-4 divided by -41849
4/41849
15 divided by -45463
-15/45463
Divide 1384167 by -461389.
-3
-653520 divided by 21784
-30
What is 639 divided by -2078?
-639/2078
Calculate 6493 divided by 12.
6493/12
What is 54395 divided by -2?
-54395/2
-13 divided by 17355
-1/1335
0 divided by 8468
0
11 divided by 229
11/229
What is 197456 divided by 14104?
14
Divide -6013 by 89.
-6013/89
805239 divided by 4709
171
Calculate -162336 divided by 40584.
-4
What is -591360 divided by 112?
-5280
What is 0 divided by 10820?
0
What is 2703890 divided by 1351945?
2
Divide -28035 by -1869.
15
What is 6708 divided by -3354?
-2
Calculate 151 divided by 80.
151/80
What is 500045 divided by 245?
2041
What is 316 divided by -3126?
-158/1563
25986 divided by 4
12993/2
96140 divided by 55
1748
Calculate -2 divided by 756482.
-1/378241
Divide -4 by 22218.
-2/11109
Divide 126846 by 12.
21141/2
Divide -65562 by 98.
-669
Calculate 12964 divided by -463.
-28
Calculate -90315 divided by 3.
-30105
-235180 divided by 47036
-5
-1788750 divided by -10
178875
-11 divided by -56287
1/5117
Calculate -520 divided by -137.
520/137
-2422 divided by -389
2422/389
What is 4918338 divided by 153?
32146
Calculate -1 divided by 329874.
-1/329874
What is 168 divided by 490?
12/35
Calculate 2481 divided by 8.
2481/8
What is -1391 divided by 15?
-1391/15
-4632480 divided by -5
926496
What is 14 divided by -15749?
-14/15749
-2636760 divided by 36120
-73
0 divided by 55
0
Calculate 3 divided by 176305.
3/176305
-8 divided by 227052
-2/56763
Divide -152048 by 344.
-442
Divide -1665129 by 555043.
-3
What is -3120 divided by -521?
3120/521
-413015 divided by 82603
-5
Divide -2602168 by -650542.
4
What is -575610 divided by -3?
191870
What is -41790 divided by 35?
-1194
Divide 133740 by 90.
1486
Calculate 507130 divided by -5.
-101426
Calculate 8366 divided by -178.
-47
What is -198488 divided by -24811?
8
What is 53655 divided by -511?
-105
Calculate 2739200 divided by 80.
34240
What is -19746 divided by 72?
-1097/4
What is 700300 divided by 140060?
5
What is -11 divided by -127349?
11/127349
204112 divided by -2
-102056
What is 220072 divided by -4?
-55018
Divide 118 by 14390.
59/7195
Divide -800354 by 400177.
-2
-3232490 divided by -323249
10
Divide -5 by 34951.
-5/34951
Divide 3 by -204680.
-3/204680
Calculate 75359 divided by -4.
-75359/4
Divide -63755 by -3.
63755/3
What is -4 divided by -228467?
4/228467
Divide 98841 by -3.
-32947
Divide -5 by -18902.
5/18902
-7781298 divided by 6
-1296883
341160 divided by 12
28430
What is -436140 divided by -87228?
5
Calculate 34216 divided by 28.
1222
What is -27 divided by -10734?
9/3578
What is 33 divided by -600?
-11/200
Calculate 254796 divided by -1249.
-204
Divide 69930 by 222.
315
-432 divided by -25
432/25
-31116 divided by 4
-7779
Calculate -8738 divided by -174.
4369/87
-3 divided by 13455
-1/4485
Calculate 752915 divided by 2.
752915/2
What is | {
"pile_set_name": "DM Mathematics"
} |
b4 - -10?
3b30c4
In base 5, what is 10 + -113020434?
-113020424
In base 5, what is 40401 + 2422204?
3013110
In base 11, what is 391 + 236858?
237139
In base 6, what is 31402004415 - -3?
31402004422
In base 13, what is 2 - 44bb23c?
-44bb23a
In base 9, what is 4057 - -1453?
5521
In base 11, what is 5806 + 395?
60a0
In base 9, what is -816663 + -86?
-816760
In base 13, what is 23 + -3254238?
-3254215
In base 14, what is 52 + -13658cc?
-136587a
In base 14, what is -7a57ca6 + -3?
-7a57ca9
In base 13, what is 929173a + 8?
9291745
In base 8, what is 5 - 216553365?
-216553360
In base 6, what is 14120512 - -112?
14121024
In base 14, what is 97bd2 - -10?
97c02
In base 15, what is -b + -1be7e?
-1be8a
In base 13, what is 3c5c8969 - -5?
3c5c8971
In base 3, what is -1201002 + -1001222111210?
-1002001012212
In base 2, what is -100000100 - -11010101001011?
11010001000111
In base 7, what is -13553 - 51624?
-65510
In base 16, what is 504c70 - -e?
504c7e
In base 9, what is -4 - -166541240?
166541235
In base 9, what is -16436 - -25325?
7778
In base 14, what is -463564 - 56?
-4635ba
In base 11, what is -8108 + -1789?
-9896
In base 3, what is -20022112 - 1121100?
-21220212
In base 6, what is 11230 + 1030325?
1041555
In base 9, what is -231453 + -153?
-231616
In base 14, what is 4042 + 61c?
4660
In base 2, what is 11000 - 1001001010001010010?
-1001001010000111010
In base 6, what is 13050 - 51253?
-34203
In base 11, what is 65840a - 29?
658391
In base 3, what is -12110012021 - 120012?
-12110202110
In base 9, what is -60 + 1081165?
1081105
In base 8, what is -114 + -120762?
-121076
In base 9, what is -2777673 + -14?
-2777687
In base 8, what is -200 + 40417?
40217
In base 11, what is -70874 + 652?
-70222
In base 9, what is -66146 + 62?
-66074
In base 9, what is -5 + -10288871?
-10288876
In base 16, what is -162a9 + -2?
-162ab
In base 14, what is 5 - -b7676b?
b76772
In base 5, what is -222 + -4442244121?
-4442244343
In base 10, what is -2578 + -1446?
-4024
In base 9, what is 18518083 - 1?
18518082
In base 4, what is -223332 + 30133?
-133133
In base 15, what is 6ba1 - -7160?
dd11
In base 9, what is 547 - -16110?
16657
In base 16, what is -30720 - -4b?
-306d5
In base 12, what is 724909 + 26?
724933
In base 15, what is 117 - 48d4?
-47bc
In base 5, what is 1341140 - 10322?
1330313
In base 13, what is -8955 - -79a?
-8188
In base 11, what is -325 - -6992a?
69605
In base 16, what is -1ee + -2b75e?
-2b94c
In base 3, what is -11111001 - 1222102200?
-2010220201
In base 14, what is -14 - 6799ca?
-679a00
In base 6, what is -130435224 + 115?
-130435105
In base 11, what is -3 + a578432?
a57842a
In base 8, what is 255565212 + -3?
255565207
In base 10, what is 541 + -329013?
-328472
In base 8, what is 372 - -221772?
222364
In base 16, what is 3a5 + -1a06?
-1661
In base 15, what is 9 - 137b0c1?
-137b0b7
In base 14, what is -b - 88b441?
-88b44c
In base 9, what is -163550 - 74?
-163634
In base 12, what is -3659 + 132a?
-232b
In base 2, what is 1010011100 + 101111001001010100010?
101111001010100111110
In base 13, what is 35273839 + 1?
3527383a
In base 9, what is 57251776 - -1?
57251777
In base 16, what is 1 + ea23af?
ea23b0
In base 11, what is -200 - -28705a?
28695a
In base 4, what is 122211312 + -220110?
121331202
In base 14, what is -115b22 + 70?
-115a92
In base 6, what is 31451 + 12231?
44122
In base 9, what is -122307461 - -10?
-122307451
In base 12, what is 672359 - 21?
672338
In base 6, what is 102 - 1124114?
-1124012
In base 13, what is -174c1b9 - -a8?
-174c111
In base 13, what is -509a5c1c - 1?
-509a5c20
In base 3, what is 12202220 + -11200010?
1002210
In base 9, what is 3635 + -4347?
-612
In base 5, what is 1044 - -1142133?
1143232
In base 16, what is -e - 12f578?
-12f586
In base 10, what is 13470 + -431?
13039
In base 3, what is -20220222200011000 - -10?
-20220222200010220
In base 4, what is 122233002100 - -3?
122233002103
In base 10, what is -57503215 - -11?
-57503204
In base 5, what is 1343303244 + -11?
1343303233
In base 10, what is -2707442 - -7?
-2707435
In base 13, what is 1650a2 - -103?
1651a5
In base 10, what is 20386439 - 4?
20386435
In base 13, what is 571c98 + -5c?
571c39
In base 16, what is -4bc93e + ea?
-4bc854
In base 5, what is -2410 - 44103422?
-44111332
In base 16, what is 1 + -1830?
-182f
In base 3, what is 11020012 - 12001100100?
-11220010011
In base 9, what is -4 - -75282031?
75282026
In base 16, what is -b - -107bd9?
107bce
In base 6, what is 3020433131 + -2?
3020433125
In base 8, what is -175043 - -101?
-174742
In base 10, what is 55 - 7894?
-7839
In base 10, what is -13894 - 1590?
-15484
In base 16, what is -1b367 - -a1?
-1b2c6
In base 10, what is 879053 - 78?
878975
In base 12, what is 258258 - 21?
258237
In base 10, what is 16 - 555784?
-555768
In base 16, what is 2f2bf - -1e5?
2f4a4
In base 11, what is 34a1 - 25501?
-22010
In base 8, what is 1 + 75115434?
75115435
In base 8, what is 12430 + 112?
12542
In base 4, what is 2223 - 333303031?
-333300202
In base 13, what is -147 - 12bb3?
-1302a
In base 16, what is -3 + -1ed3a31?
-1ed3a34
In base 14, what is -7 + 4b719?
4b712
In base 10, what is -14636296 - 21?
-14636317
In base 13, what is -192 - -1c210?
1c04b
In base 7, what is -6122 + -122?
-6244
In base 14, what is 25009b - 10?
25008b
In base 5, what is 411003332332 + 2?
411003332334
In base 10, what is 1693570903 - -1?
1693570904
In base 3, what is 0 - -20122122012220?
20122122012220
In base 9, what is 120 + 42666?
42786
In base 3, what is -12 - -1020111221102211?
1020111221102122
In base 12, what is 1 + 9503848?
9503849
In base 3, what is -11010010112112010 + 2?
-11010010112112001
In base 7, what is -5 + -35360036?
-35360044
In base 15, what is -6 - a94b?
-a952
In base 10, what is 570807212 + -1?
570807211
In base 7, what is -50 + -4025256?
-4025336
In base 16, what is -37bc63c + c?
-37bc630
In base 15, what is -10e6d778 - -4?
-10e6d774
In base 15, what is -d8eb - 0?
-d8eb
In base 4, what is 11 - -1320230213?
1320230230
In base 15, what is 3 - 38b971?
-38b96d
In base 9, what is 3 - 1520150?
-1520146
In base 6, what is 344453013 + -101?
344452512
In base 6, what is 22352 - -124152?
150544
In base 3, what is 11000221102210010 + -12?
11000221102202221
In base 13, what is 2069b4 - -8?
2069bc
In base 13, what is b368 + -13943?
-55a8
In base 7, what is -15246 + 21016?
2440
In base 5, what is -20 - 123014124034?
-123014124104
In base 10, what is -5 + 2370373?
2370368
In base 7, what is 14 - 1012636142?
-1012636125
In base 12, what is 3 - -2b8495?
2b8498
In base 15, what is 0 + 7467dbb?
7467dbb
In base 12, what is -2 + bb5bb86?
bb5bb84
In base 2, what is 101 - 1100111001111100101101100100?
-1100111001111100101101011111
In base 4, what is -11 - 311130101?
-311130112
In base 7, what is -414613 + 23531?
-361052
In base 12, what is -538a5b + -38?
-538a97
In base 13, what is -1774 + -438?
-1bac
In base 12, what is 2 + -845840?
-84583a
In base 7, what is 502551604 - -12?
502551616
In base 7, what is 426301254 + 4?
426301261
In base 5, what is -230204210340 + -1?
-230204210341
In base 7, what is -2 + 3140626?
3140624
In base 16, what is 1174 + 123dc?
13550
In base 6, what is 515 + 1120?
2035
In base 7, what is 136 - -14130331?
14130500
In base 7, what is -10 + 246536133?
246536123
In base 15, what is 45d + 193de?
1984c
In base 8, what is -5317357125 - -1?
-5317357124
In base 12, what is -36 + 2358325?
23582ab
In base 14, what is 1861 - -8898?
a319
In base 5, what is -13411013 - -2104?
-13403404
In base 10, what is -97 - -1447915?
1447818
In base 2, what is 11110011101 - -100010100011111010?
100011000010010111
In base 11, what is 702 + -63a1?
-579a
In base 16, what is -45d0aa - 5?
-45d0af
In base 2, what is -1000 + -1010010000001100111011?
-1010010000001101000011
In base 12, what is b9 - 3546?
-3449
In base 5, what is 10202220 - -1441?
10204211
In base 13, what is -12a + 11640?
11513
In base 8, what is 102266 - -7373?
111661
In base 5, what is -2 - 410312302?
-410312304
In base 12, what is 1 - -7622a3?
7622a4
In base 5, what is -2 + -123024422?
-123024424
In base 12, what is -1 + -9aa95ba?
-9aa95bb
In base 15, what is -3 + 57873d?
57873a
In base 14, what is d72 + 10228?
1119a
In base 10, what is 169 - 418220?
-418051
In base 15, what is 2 + -3831?
-382e
In base 4, w | {
"pile_set_name": "DM Mathematics"
} |
2645*r**3 + 2970*r**2 = 0. What is r?
-54, -11, 0, 1
Factor 3*h**2 - 117*h - 120.
3*(h - 40)*(h + 1)
Factor s**3/4 - 15*s**2/4 + 75*s/4 - 125/4.
(s - 5)**3/4
What is g in 5*g**3 + 50*g**2 + 145*g + 100 = 0?
-5, -4, -1
Factor -2*i**2 + 2630*i - 2628.
-2*(i - 1314)*(i - 1)
Factor -9*b**5 - 12*b**4.
-3*b**4*(3*b + 4)
Let 3*n**3/4 + 729*n**2/2 + 45360*n + 259200 = 0. Calculate n.
-240, -6
Factor -3*q**2 + 147*q - 144.
-3*(q - 48)*(q - 1)
Factor 198*y**3/5 - 62*y**2/5 + 4*y/5.
2*y*(9*y - 2)*(11*y - 1)/5
Factor 2*o**2/11 + 2*o/11.
2*o*(o + 1)/11
Suppose -4*j**3/5 + 8*j**2 = 0. Calculate j.
0, 10
Factor 9*b**4 + 2*b**3 - 36*b**2 - 8*b.
b*(b - 2)*(b + 2)*(9*b + 2)
Factor 5*h**4 - 20*h**3 - 10*h**2 + 60*h + 45.
5*(h - 3)**2*(h + 1)**2
Determine i, given that -i**3/5 + 162*i**2/5 - 6561*i/5 = 0.
0, 81
Find s such that 7986*s**5 + 22506*s**4 + 11704*s**3 - 23776*s**2/9 + 512*s/3 - 32/9 = 0.
-2, -1, 2/33
Find m, given that m**2 - 98*m + 1377 = 0.
17, 81
Factor -f**5/10 + 27*f**4/10 - 219*f**3/10 + 101*f**2/2 - 228*f/5 + 72/5.
-(f - 12)**2*(f - 1)**3/10
Factor -2*c**5/9 - 50*c**4/9 - 176*c**3/9 - 56*c**2/3.
-2*c**2*(c + 2)**2*(c + 21)/9
Factor -10*l**3 + 4*l**2 + 10*l - 4.
-2*(l - 1)*(l + 1)*(5*l - 2)
Factor -5*h**5/2 + 40*h**4 + 175*h**3/2 + 45*h**2.
-5*h**2*(h - 18)*(h + 1)**2/2
Factor -4*w**2/9 + 940*w/9.
-4*w*(w - 235)/9
What is c in -2*c**2 + 28*c - 48 = 0?
2, 12
Factor 4*q**2 + 1548*q.
4*q*(q + 387)
Factor 2*n**4/17 - 416*n**3/17 + 22044*n**2/17 - 42848*n/17 + 21218/17.
2*(n - 103)**2*(n - 1)**2/17
Factor -2*h**3/3 - 6*h**2 + 8*h + 40/3.
-2*(h - 2)*(h + 1)*(h + 10)/3
Factor 3*v**5 - 9*v**4 + 6*v**3.
3*v**3*(v - 2)*(v - 1)
Factor -2*i**2/7 + 286*i/7 + 288/7.
-2*(i - 144)*(i + 1)/7
Factor 3*x**5 + 3*x**4 - 3*x**3 - 3*x**2.
3*x**2*(x - 1)*(x + 1)**2
Suppose -n**4/2 - 17*n**3/2 - 25*n**2/2 + 81*n/2 + 45 = 0. What is n?
-15, -3, -1, 2
Determine d, given that d**5 + 3*d**4 - 15*d**3 + 17*d**2 - 6*d = 0.
-6, 0, 1
Suppose 3*n**2 - 1506*n + 189003 = 0. Calculate n.
251
Factor -120*x**3 + 415*x**2 - 220*x - 260.
-5*(x - 2)**2*(24*x + 13)
Solve -x**4/4 + 4*x**3 + 993*x**2/4 + 1855*x - 2107 = 0.
-14, 1, 43
Factor 2*g**2/7 - 6248*g/7 + 4879688/7.
2*(g - 1562)**2/7
Determine l, given that -3*l**4 - 111*l**3 - 585*l**2 - 837*l = 0.
-31, -3, 0
Factor 2*i**5 - 13*i**4 - 61*i**3 - 85*i**2 - 49*i - 10.
(i - 10)*(i + 1)**3*(2*i + 1)
Determine w, given that 7*w**5 + 5*w**4 - 9*w**3 - 5*w**2 + 2*w = 0.
-1, 0, 2/7, 1
Suppose 3*z**5/4 - 873*z**4/4 + 84681*z**3/4 - 2738019*z**2/4 = 0. What is z?
0, 97
Factor -3*p**2/2 + 555*p/2.
-3*p*(p - 185)/2
Factor -2*d**3/9 - 28*d**2 - 982*d/9 - 244/3.
-2*(d + 1)*(d + 3)*(d + 122)/9
What is j in -j**3/2 + 15*j**2/2 - 27*j/2 + 13/2 = 0?
1, 13
Find z such that -17*z**5/3 + 56*z**4 - 133*z**3/3 - 6*z**2 = 0.
-2/17, 0, 1, 9
Factor -2*c**2/5 + 6*c/5.
-2*c*(c - 3)/5
Factor -2*w**2/19 + 3412*w/19 - 1455218/19.
-2*(w - 853)**2/19
Factor -4*c**3 + 32*c**2 + 4*c - 32.
-4*(c - 8)*(c - 1)*(c + 1)
Solve 4*p**3/7 + 18*p**2/7 = 0.
-9/2, 0
Factor 5*s**4 - 60*s**2 + 80*s.
5*s*(s - 2)**2*(s + 4)
Factor -4*a**2 - 84*a + 288.
-4*(a - 3)*(a + 24)
What is j in 2*j**4/15 - 1346*j**3/15 + 448*j**2/5 = 0?
0, 1, 672
Find v such that -v**5 + 6*v**4 - 6*v**3 - 16*v**2 + 15*v + 18 = 0.
-1, 2, 3
Factor -2*k**5/11 + 14*k**4/11 - 20*k**3/11.
-2*k**3*(k - 5)*(k - 2)/11
Suppose -k**5/2 + 5*k**4 + 83*k**3/2 + 98*k**2 + 94*k + 32 = 0. Calculate k.
-2, -1, 16
Let 4*j**2/7 - 63480*j/7 + 251856900/7 = 0. What is j?
7935
Determine s so that 7*s**4 - 108*s**3 + 570*s**2 - 1100*s + 375 = 0.
3/7, 5
Solve s**3/9 - 7*s**2/9 + 2*s/3 = 0.
0, 1, 6
Factor -2*g**4/7 - 4*g**3/7 + 26*g**2/7 - 20*g/7.
-2*g*(g - 2)*(g - 1)*(g + 5)/7
Solve w**2/3 - 4*w/3 - 4 = 0.
-2, 6
Factor 4*d**5 + 16*d**4 - 56*d**2 - 68*d - 24.
4*(d - 2)*(d + 1)**3*(d + 3)
Factor 5*h**2 + 75*h - 170.
5*(h - 2)*(h + 17)
Let 7*q**3/6 - q**2/3 = 0. What is q?
0, 2/7
Determine g so that 2*g**3 + 3196*g**2/5 + 1646*g - 3804/5 = 0.
-317, -3, 2/5
Let 4*r**3/9 - 52*r**2/9 + 208*r/9 - 80/3 = 0. Calculate r.
2, 5, 6
What is d in 3*d**5 - 1308*d**4 + 189219*d**3 - 8954034*d**2 - 18480972*d - 9336408 = 0?
-1, 146
Determine h, given that 2*h**5 + 8*h**4 - 40*h**3 - 132*h**2 + 198*h + 540 = 0.
-5, -3, -2, 3
Suppose 2*j**4/13 - 12*j**3/13 - 22*j**2/13 + 48*j/13 + 56/13 = 0. What is j?
-2, -1, 2, 7
Solve 2*o**2 - 6472*o - 12952 = 0 for o.
-2, 3238
Factor 2*z**5 + 476*z**4 + 28322*z**3.
2*z**3*(z + 119)**2
Suppose -5*r**4 + 90*r**3 + 95*r**2 = 0. What is r?
-1, 0, 19
Solve 2*u**4/19 - 20*u**3/19 + 54*u**2/19 - 36*u/19 = 0 for u.
0, 1, 3, 6
Suppose 950*o**3/3 - 964*o**2/3 + 14*o/3 = 0. What is o?
0, 7/475, 1
Let 3*q**2/2 + 42*q - 87/2 = 0. Calculate q.
-29, 1
Determine z, given that -3*z**5/7 + 33*z**4/7 + 2091*z**3/7 + 15087*z**2/7 - 2088*z/7 - 2160 = 0.
-12, -1, 1, 35
Determine y so that y**2 + 154*y + 5929 = 0.
-77
Suppose 2*w**2/9 - 454*w/9 - 152/3 = 0. What is w?
-1, 228
Solve -9*x**3 + 921*x**2 - 23715*x + 7803 = 0.
1/3, 51
Determine a, given that -a**3 + 121*a**2 - 3339*a - 19845 = 0.
-5, 63
Factor -15*v**3 - 234*v**2 - 567*v.
-3*v*(v + 3)*(5*v + 63)
Let 2*u**3 - 42*u**2 - 140*u - 96 = 0. Calculate u.
-2, -1, 24
Factor h**2/3 - 4*h/3 - 7.
(h - 7)*(h + 3)/3
Find s such that 2*s**5/15 + 8*s**4/5 - 8*s**3/5 - 1408*s**2/15 - 2176*s/5 - 3072/5 = 0.
-6, -4, 8
Solve -3*p**4/4 - 5*p**3/4 - p**2/2 = 0 for p.
-1, -2/3, 0
Solve -d**5/3 - 2*d**4 + 49*d**3/3 - 70*d**2/3 - 12*d + 88/3 = 0.
-11, -1, 2
Factor 2*b**2 - 350*b + 692.
2*(b - 173)*(b - 2)
Solve -3*o**4 + 3*o**3 + 3*o**2 - 3*o = 0.
-1, 0, 1
Factor -3*s**2/7 + 2274*s/7 - 430923/7.
-3*(s - 379)**2/7
Factor 10*u**4 + 475*u**3 + 230*u**2 - 235*u.
5*u*(u + 1)*(u + 47)*(2*u - 1)
Solve -t**4/4 + 19*t**3/2 + 463*t**2/4 + 202*t + 96 = 0.
-8, -1, 48
Find n such that -4*n**4/3 + 8*n**3 + 20*n**2 + 32*n/3 = 0.
-1, 0, 8
Find x such that -3*x**2 - 552*x - 25392 = 0.
-92
Factor p**2 + 330*p + 27225.
(p + 165)**2
Factor 3*t**2 - 207*t + 402.
3*(t - 67)*(t - 2)
Determine a, given that -4*a**3/3 - 60*a**2 - 512*a/3 - 112 = 0.
-42, -2, -1
Solve h**5/3 + 7*h**4/3 + 7*h**3/3 - 23*h**2/3 - 8*h/3 + 16/3 = 0.
-4, -1, 1
Solve 2*l**5/5 + 66*l**4/5 + 46*l**3/5 - 2282*l**2/5 + 4152*l/5 - 1984/5 = 0.
-31, -8, 1, 4
Determine g so that 4*g**5 + 12*g**4 - 20*g**3 - 60*g**2 + 16*g + 48 = 0.
-3, -2, -1, 1, 2
Suppose -k**3/5 - 183*k**2/5 + 186*k/5 + 368/5 = 0. Calculate k.
-184, -1, 2
Factor -4*u**4 - 24*u**3 + 484*u**2 + 504*u.
-4*u*(u - 9)*(u + 1)*(u + 14)
Determine a so that -33*a**3 + 885*a**2 + 2076*a + 348 = 0.
-2, -2/11, 29
Suppose -2*o**4/15 - 8*o**3/3 - 106*o**2/15 + 628*o/15 - 32 = 0. What is o?
-15, -8, 1, 2
Find f such that -f**5/7 - 9*f**4/7 - 23*f**3/7 - 15*f**2/7 = 0.
-5, -3, -1, 0
What is q in 12*q**3 + 291*q**2 + 348*q + 69 = 0?
-23, -1, -1/4
Solve -q**4 - 12*q**3 - 51*q**2 - 92*q - 60 = 0 for q.
-5, -3, -2
Determine m so that 15*m**5 + 20*m**4 - 165*m**3 - 490*m**2 - 480*m - 160 = 0.
-2, -4/3, -1, 4
Find a such that -a**4/6 - a**3/6 + a**2/6 + a/6 = 0.
-1, 0, 1
Suppose i**3 + 4*i**2 - 45*i = 0. Calculate i.
-9, 0, 5
Find q, given that 14*q**2 + 934*q - 268 = 0.
-67, 2/7
Factor c**3/9 + 7*c**2/3 - 22*c/9.
c*(c - 1)*(c + 22)/9
Suppose -v**5/2 - 67*v**4/2 + 71*v**3 + 134*v**2 - 276*v = 0. Calculate v.
-69, -2, 0, 2
Let 565*x**2/7 - 242*x - 3/7 = 0. Calculate x.
-1/565, 3
Determine t so that 4*t**3 + 904*t**2 - 5548*t + 4640 = 0.
-232, 1, 5
Determine a, given that -2*a**4/3 + 32*a**3/3 + 76*a**2/3 - 208*a - 510 = 0.
-3, 5, 17
Let 8*h**4/3 + 10*h**3 - 14*h**2/3 - 8*h = 0. Calculate h.
-4, -3/4, 0, 1
Factor -4*y**2 + 492*y + 1512.
-4*(y - 126)*(y + 3)
Let w**2/3 - 23*w + 134/3 = 0. Calculate w.
2, 67
Determine i so that 5*i**5 - 15*i**4 - 50*i**3 = 0.
-2, 0, 5
Suppose -2*t**3/3 + 44*t**2/3 = 0. Calculate t.
0, 22
Let -2*f**2/5 + 32*f/5 - 126/5 = 0. What is f?
7, 9
Factor -j**4/3 + 3*j**3 - 8*j**2 + 16*j/3.
-j*(j - 4)**2*(j - 1)/3
Find t such that 2*t**4/3 + 8*t**3 = 0.
-12, 0
Determine p, given that -20*p**5 - 1715*p**4 + 490*p**3 + 5185*p**2 + 2140*p - 860 = 0.
-86, -1, 1/4, 2
Solve -2*q**3/7 - 2*q**2/7 + 10*q/7 - 6/7 = 0 for q.
-3, 1
Let -3*y**2/7 - 393*y/7 - 372 = 0. What is y?
-124, -7
Solve 8*s**5/5 - 76*s**4/5 - 228*s**3/5 - 144*s**2/5 = 0.
-3/2, -1, 0, 12
Factor 4*j**2 + 156*j.
4*j*(j + 39)
Dete | {
"pile_set_name": "DM Mathematics"
} |
g**2 + 7*g - 1. Let l be f(7). Let v(r) = 9*r + 1. Let y be v(l). Let k be (-3 - 46/y) + -2. Which is the closest to 0? (a) k (b) 0.4 (c) 5
b
Let t(h) = 2*h**3 - 9*h**2 + 2*h + 6. Let l be t(6). Let k = l + -1132/9. What is the nearest to 2/5 in -0.03, k, -0.4?
k
Let r be (23/4)/1 - 6. Which is the closest to r? (a) 3 (b) 0.5 (c) 4
b
Let v be -10*(4 + (51/(-15) - 1)). Which is the nearest to -0.1? (a) -2/7 (b) 0.7 (c) v
a
Let p = 0.02 + 0.28. Let g = -5 - -4.95. What is the nearest to -2/5 in p, g, 3/8?
g
Let h be -1 - ((-4)/(-10) - 1). Let a(k) = k**3 - 110*k**2 + 2*k - 216. Let r be a(110). What is the nearest to -1 in 3/5, r, h?
h
Suppose -s - 36 = 4*m, -5*s - 10*m + 15*m - 55 = 0. What is the nearest to 1 in -10, 0, s?
0
Let m be (3/(-81))/((-15)/(-9) - 2). Let g(u) = -u**3 - u + 1. Let i be g(0). Which is the closest to i? (a) 0 (b) m (c) 3
b
Let h = -425 + 424.6. Which is the closest to -1/4? (a) 0.4 (b) 4/7 (c) -4/3 (d) h
d
Let u = -116 - -77. Let m = -38 - u. Let z = -2 - -1. Which is the nearest to m? (a) z (b) -5 (c) 1/4
c
Let q = 16 - 16.19. Let x = 0.13 - 0.04. Let z = q + x. Which is the closest to z? (a) 0.1 (b) 4 (c) -1/6
c
Let f = 3937 + -3936.8. Let y(o) = -o + 2. Let t be y(-3). Which is the closest to -1/4? (a) t (b) f (c) 0
c
Let x = -17 - -11. Let l = x + 11. Let j = 2.09 - 3.09. What is the nearest to j in l, -2/11, -5?
-2/11
Let r = 175 - 179. Let t = 2.8 + -3. Which is the nearest to 0.6? (a) t (b) r (c) 5
a
Let g = 28042/5 + -5627. Let z = -37/2 - g. Which is the nearest to 0.1? (a) 5 (b) z (c) 0.4
b
Let i = 1351 - 1359. Which is the nearest to 4? (a) 0.5 (b) i (c) 2
c
Let t be 4/16 - (-23)/(-12). Let f = -839 - -839.3. What is the nearest to -6/7 in -4, t, f?
t
Let y = 4.11 - 4.21. Which is the closest to y? (a) -4 (b) -3 (c) 1
c
Let d = -233.7 - -234.1. What is the nearest to 0.05 in 1, d, -2/7?
-2/7
Let j(x) = x**3 - 9*x**2 + x - 8. Let v(f) = -f**3 - 4*f**2 - f + 5. Let o be v(-4). Let q be j(o). What is the nearest to q in 1, -4/9, 0.04?
1
Let s be (-3 + 392/(-4))*(5 + -4). Let y = s + 106. What is the nearest to -2 in y, -1/7, 9?
-1/7
Let v = 0.67 + -0.67. Which is the closest to -1? (a) -0.1 (b) v (c) -7/11
c
Let h be -2*4/(56/21). Let t = -18 + 16. Let y = -7/25 + 12/25. What is the closest to t in h, -0.1, y?
h
Let t = 5/12 + 5/12. Let k = 0.237 + 0.063. Suppose 4*j + j + 5 = 0. What is the nearest to j in t, k, 1/2?
k
Let j = -36 + 39. Let g = -6 + 7. Which is the closest to g? (a) j (b) -4 (c) -3
a
Let v = -3/31994 + 3255412/239955. Let o = -67/5 + v. Which is the nearest to o? (a) 8 (b) 2/17 (c) 0.2
c
Let r = 694/7 + -99. Let k be 9/4 + 3 + -6 + 1. What is the closest to -0.1 in k, 2, r?
r
Let m = -89 - -88. Let z be 2/8 - 17/(-12). Suppose 2 = -2*i + 6. Which is the closest to -0.3? (a) m (b) i (c) z
a
Let t = 200 - 209. Let y = 2 + -2.2. Which is the closest to -2/5? (a) y (b) t (c) -2/9
c
Let y be 0/(18/2) - 1. What is the closest to y in 4, -1, 2.3, 3/5?
-1
Let z be 84/(-210) + 24/110. Which is the nearest to 0.1? (a) z (b) -0.3 (c) -38
a
Let z = -1837/12 + 153. Let w = -2/203 - -60/203. Which is the closest to z? (a) -1 (b) 4 (c) w
c
Let q be (-12)/6 + 3 - -1. Which is the nearest to 0.1? (a) 3 (b) 1/2 (c) q
b
Let g = -194.7 + 193.7. Which is the closest to g? (a) 1/10 (b) -14 (c) -4 (d) -0.04
d
Suppose 0 = -3*v + 4*v - 5. Let i be (-3 - -4) + 1 - v/3. Let d = -117 + 583/5. What is the nearest to i in 3, 5, d?
d
Let s(o) = -o**3 - 34*o**2 + 31*o - 141. Let i be s(-35). What is the nearest to 1/3 in 3, -2/125, i?
-2/125
Let s = -1.4 - -0.4. Let y be 1/(-4) - 60/(-232). Let d = y + -235/348. What is the closest to s in -1, -5, d?
-1
Let k(y) = 5*y - 261. Let n be k(51). What is the nearest to n in -26, -4, -1/6?
-4
Let d = 0.07 - 0.03. Let x = d + 0.36. Let q = -9.2 + 9.5. Which is the nearest to 0? (a) 0.1 (b) q (c) x
a
Let z = -1565.9 - -1566. Let p(g) = g - 7. Let f be p(5). Let s be (6/16)/((-3)/f). Which is the nearest to s? (a) z (b) 3 (c) 0
a
Suppose 0 = 4*m - 5*l + 180, -2*l + 42 = 3*m - 4*m. Let k be 20/m*(-5)/(-21). Which is the nearest to 0? (a) 1 (b) k (c) -9
b
Suppose 5*i - 16 = 2*k - 0, 3*i = -3*k - 3. Let c = -5 + 54. Let h = c + -49. What is the closest to h in k, 0, 1?
0
Let z be ((-2)/(-35)*-10)/(4/14). Let t = -43/42 - -6/7. What is the closest to 0.02 in z, 4, t?
t
Let s = 9 - 14. Let l be s/4 - 15/(-10). Which is the nearest to -1/4? (a) -3 (b) l (c) 5
b
Let o(u) = -u - 6 + 5*u - 3*u. Let p be o(5). Let m = -0.1 - -0.2. What is the closest to m in -5, 0, p?
0
Let y = -220 - -211. What is the closest to 1/4 in -0.5, 1/9, y?
1/9
Let w = 2.04 - 0.04. Let y = -3 + w. Let k = 6/19 - 43/76. What is the nearest to k in -5/4, y, 5?
y
Suppose 29*m - 30*m - 1 = 0. Which is the nearest to m? (a) -4/5 (b) 1/3 (c) 5
a
Let c = -15225 + 15224.7. Let n = -2 - -2.1. What is the closest to c in 1/2, -0.5, n?
-0.5
Let y be (-5)/15 - 25/(-3). Suppose y = 5*n - n. Let w = 25/92 + -12/23. Which is the nearest to w? (a) 5 (b) n (c) 8
b
Let n(l) = l**3 - 6*l**2 + 7*l + 7. Let w be n(6). Let q be -1 - (14/w - (-5)/7). Which is the closest to 1/2? (a) q (b) -5 (c) -1/6
c
Suppose -h - 3*l = -6*h + 99, -24 = -2*h - 4*l. Suppose 10*y - 4*y = h. Which is the nearest to y? (a) 0.1 (b) -1/8 (c) 0.2
c
Let p be (3 - 2) + 3 + -5. Let l be 2/(-28)*10/15*3. What is the nearest to -2 in l, 2, p?
p
Let k be (-2 - -1) + 1706/(-18). Let d = k - -96. Suppose -724*q - 7 = -726*q - f, 6*q = -5*f + 31. What is the nearest to 0.1 in -4, q, d?
d
Let j be 3 + 6/(-2) + (0 - 0). Suppose 3*m + 5*p + 1 = j, -15 + 1 = 5*m - 4*p. What is the nearest to m in 1, -3/2, -3?
-3/2
Let l = -2.88 + -0.42. Let t = 1.3 + l. Let g = 4/33 - -6/11. What is the nearest to g in 0.2, -4, t?
0.2
Let w be (4 - 15) + (1 - -1). Let x(g) = -g - 10. Let t be x(0). Let v = t - w. What is the nearest to v in 1/2, 5, -0.2?
-0.2
Let o = 290 + -289.9. What is the closest to o in 0.4, 2/13, -2/9?
2/13
Let m = -14 - -12.4. Let q = m + 2. Let p be 3 - 4 - (0 - 1). Which is the closest to -0.1? (a) 5 (b) p (c) q
b
Let m = -49 - -51. Let x = -47 + 50. Let j = -0.03 + -2.97. What is the closest to 1 in j, m, x?
m
Let v = 55.03 - 56. Let h = v + 3.97. What is the closest to 0.1 in -4, 3/2, h?
3/2
Let d = -112 + 112.1. Let t = -47.8 - -48. Which is the nearest to d? (a) t (b) -4 (c) -5/6
a
Let f = -2.18 - -0.28. Let p = f + 1.5. Let s = -8 + 11. What is the closest to 0 in p, s, 5?
p
Let u(i) = 3*i - 407163. Let f be u(0). Let a = f + 291122097/715. Let p = a - -4/143. What is the nearest to 2 in -1, p, -2?
p
Let i = -202.7 + 203. Let f = 6.4 - 6. Let w = i - f. Which is the closest to w? (a) 1/4 (b) -1 (c) -0.3
c
Let k = 0.165 - 0.065. What is the closest to k in -1, -0.2, -4?
-0.2
Let g = 6 + -6.3. Let w = 0.2 - g. Let t = -0.85 + 0.35. What is the closest to -2/9 in t, -3, w?
t
Let x = 71.04 + -71. Suppose -5*r + 10*r + 14 = -2*f, 4*r + 13 = -f. Let h be 1/6*(2 + 1). Which is the nearest to h? (a) f (b) x (c) 0.3
c
Suppose 4*s + 12 = -3*p, -3*s = 2*s - 2*p - 8. Let u = -29 - -88/3. Which is the nearest to u? (a) -5 (b) 2/9 (c) s
b
Let v be 1/(7/(-35)*-5)*(7 + -12). Let u = -13/253 + -3/23. Which is the nearest to -0.2? (a) v (b) u (c) 1/2
b
Let b = -33 - -7. Let x = b - -31. Let u = -2 - 0. What is the nearest to -0.1 in x, 0.3, u?
0.3
Let c be 12/7*651/930. What is the closest to 0 in -3, c, 0.02, -8?
0.02
Let i = -0.27 - -0.21. Let h be 230/70 + 6/(-21). What is the nearest to i in 5, h, 3/5?
3/5
Let m be -6 - 3/(-12)*23. What is the closest to m in -0.1, 5, 0.2?
-0.1
Let g be 14/28*1/2. Let m = -22 + 284/13. What is the closest to g in -4, 0.2, m?
0.2
Let t = 4 + -14. Let u = -0.39 - 9.71. Let q = t - u. Which is the closest to 1? (a) 2/5 (b) q (c) -1
a
Let p = 146 - 146. Let s be 2/11 + (-24)/495. Which is the nearest to p? (a) 2 (b) 4/3 (c) s
c
Let g = 8 + -4. Let s = -237.7 + 242. Let t = g - s. Which is the nearest to 0? (a) t (b) 0.4 (c) -0.2
c
Let h = 7.2 - 8. Let f = -1576.6 - -1577. Suppose 4*a = 33 - 17. What is the nearest to -1 in h, a, f?
h
Let t = 1 + -1. Let x = 0 - t. Let m = 3176/105 - 458/15. What is the closest to m in 5, x, 0.5 | {
"pile_set_name": "DM Mathematics"
} |
st common multiple of f and l(45)?
36
Suppose 5*t - 7669 = -4*y, -t - 3*y = -1135 - 401. What is the smallest common multiple of 39 and t?
19929
Let d = 43 + -22. Find the common denominator of ((-33)/d)/((-20)/42) and (-55862)/(-7812) - (2/(-56))/((-24)/64).
90
Let l = 1033 + -988. Let v = -18 + 24. What is the lowest common multiple of l and v?
90
Suppose 0 = i - 2*y - 3*y - 22, -4*y + 136 = 4*i. Let x be (-66318)/i*(-6 + 2338/390). Let s = 378/65 - x. Calculate the common denominator of 57/8 and s.
16
Find the common denominator of -7/432 and ((-2856)/280)/(48/15).
432
Suppose 0 = -56*o + 62*o + 1224. Let d = o + 213. Let x(s) = s + 10. Calculate the lowest common multiple of d and x(-6).
36
Let l(m) be the third derivative of m**5/60 - m**4/4 + 4*m**3/3 - 14*m**2 + 3*m. What is the lowest common multiple of l(6) and 8?
8
Suppose 0 = -2*q - u + 681, -2*u - 2*u + 1024 = 3*q. Calculate the smallest common multiple of (-24)/(-16) + q/8 and 4.
44
Let c = 3/214915 - -3213813/710079160. What is the common denominator of -115/24 and c?
9912
Let g = 3 - 0. Let t(o) = -o**3 + 10*o**2 + 28*o - 27. Let d be t(12). What is the smallest common multiple of 4/6*(d + 18) and g?
78
Let z = -2483 - -15035/6. Let h = -248585/42296 - -12/5287. Find the common denominator of z and h.
24
Let n(x) = -10 - 3 - 14 + 15 - 26*x. Calculate the lowest common multiple of 42 and n(-3).
462
Let u(w) = 11*w**3 + 3*w**2 + 11*w + 11. Let j be u(-8). Let y = 55237/10 + j. Let n = 56542/9 - 6289. Calculate the common denominator of n and y.
90
Suppose 2*l + 0*u - 76 = 4*u, 4*u - 4 = 0. Let h = -9 + 14. Suppose -h*c + 115 = r, -2*c - 3 = 3*r - 36. What is the lowest common multiple of l and c?
120
Find the common denominator of -71/80 and (10 - (-880)/(-48))*27/(-1248).
2080
Suppose 15 = 13*j - 89. Suppose 14 = -2*q + j. Find the common denominator of -63/10 and -338*q/540 - (-6)/27.
10
Calculate the least common multiple of 10 and (-321)/6*(-5 - (1 - 4)).
1070
Suppose -4*m = 4*k - 1236, 23*k = 21*k + 2. Calculate the least common multiple of m and 7.
308
Calculate the lowest common multiple of 80 and (0 + (-125)/(-25))/(1/748).
14960
Let t(x) = 14*x + 308. What is the lowest common multiple of t(-16) and 114?
1596
Let y = 30939506111/50 - 618856546. Let i = -66426 - y. Find the common denominator of i and 75/8.
200
Find the common denominator of (255/50 + 3)/((-5)/(-1)) and 61/110 + 11/330*-6.
550
Let w(j) = -3*j + 3 + 5*j + 4*j - 5*j. Let i be w(-1). What is the common denominator of ((-1)/i)/((-117)/598) and 70/3?
9
Let f(x) = -x**3 - 17*x**2 - 19*x - 26. What is the least common multiple of f(-16) and (-2 - 95)/(1 + (-6)/4)?
2134
Suppose 2*n - 3*p - 129 = 0, n + 27 - 95 = -2*p. Suppose 0 = 25*a - 36*a + n. What is the lowest common multiple of a and 110?
330
Let n(h) = -392*h - 1512. Calculate the smallest common multiple of 1232 and n(-7).
1232
Let l be ((-113233)/(-3))/((-46)/(-48)*-5). Let s = l - -7877. Let h = -3779/1265 - s. Calculate the common denominator of -57/8 and h.
88
Let c = -58 - -68. Suppose 0 = -c*i + 79 + 101. What is the lowest common multiple of 1362 and i?
4086
Let z = -10448 - -94010/9. Calculate the common denominator of -53/1197 and z.
1197
Suppose -3*c = 4*t - 8 - 21, -5*c = -3*t. Suppose -6*u + 238 = -20. Let w = u - 30. What is the smallest common multiple of c and w?
39
Suppose -8*y + 106 = -14. Suppose 2636 = y*k - 2044. Calculate the lowest common multiple of 20 and k.
1560
Let z = 9973/438 + 14/219. Calculate the common denominator of -25/661 and z.
3966
Find the common denominator of (-286)/(-56) - (-156)/(-312)*(-4)/14 and 55/1816.
1816
Let i = 2005 + -27973/14. What is the common denominator of i and -23/46352?
324464
Find the common denominator of -109/42 and 4469/(-2952) + (-7)/56.
252
Calculate the common denominator of 64/77 and 3/(-210)*(-2010)/(-156).
4004
Let g be (3443/(-22))/(-4 + -29). Let v = g - 87/11. Calculate the common denominator of -27*10/12*2 and v.
6
Let j(x) = 185*x + 7221. What is the smallest common multiple of j(-39) and 13492?
40476
Suppose 6*r + 35407 = 12691. Let m = 34133/9 + r. Calculate the common denominator of -61/159 and m.
477
Let p(t) = -3*t + 3. Let s(x) = -8*x**3 + 14*x**2 + 6*x - 4. Let g be s(2). Suppose 90*j - 77*j - 156 = g. What is the smallest common multiple of j and p(-5)?
36
Let x = -585 - -315. Find the common denominator of (16/80)/((-2898)/(-3010) - 1) and 2/9 + 1059/x.
40
Let z = -4/21283 - 2575099/766188. What is the common denominator of ((138/504)/(-23) - 8/(-84)) + -5 and z?
36
Suppose 16*g - 573 = -509. What is the smallest common multiple of g and 61?
244
Let y = 66/16062975019 - -29950878632950141/5038441248259692. Let x = y - 1/34852. Calculate the common denominator of 2/8 + (-3618)/(-360) + -7 and x.
90
Suppose w + 21 = 25. Suppose -w*o - 1342 = -0*o + 2*s, -3*o - s = 1007. What is the common denominator of -23/44 and (-98)/o*(3 + 0)?
88
Let k = 5017 + -4945. What is the smallest common multiple of k and 24?
72
Suppose 1047 = 5*b - 4*l, 5*l = 3*b - 642 + 6. Let r = b + -183. What is the lowest common multiple of r and 21?
168
Let a = -13/1225 - 2503/1033900. What is the common denominator of 11/1688 and a?
1688
Let o = -353198501/31497456 - 2073/103952. Let x = o + -5/303. Find the common denominator of x and (-161489)/21274 + ((-4)/(-10) - 318/(-30)).
44
Let n(a) = a**2 + 53*a - 164. What is the smallest common multiple of 434 and n(3)?
868
Let r = 51458 - 44364. What is the smallest common multiple of r and 16?
56752
Suppose 3*n = p - 43, 94 = 3*p + n - 65. Let t be 0 + (-6)/(-14) - (-20960)/28. Let x = -729 + t. What is the smallest common multiple of x and p?
260
Suppose 0*b = 2*b - 16. What is the lowest common multiple of b and (-1 - (-290)/29)/(3/14)?
168
What is the common denominator of 5 + 110/(-11) - 895/(-187) and 42/425?
4675
Let a(o) = 30*o**3 + 7*o**2 - 17*o + 4. What is the smallest common multiple of a(2) and 2?
238
Let z = -105 - -84. Let n = z - 2. Let k = 671 + -5413/8. Find the common denominator of n and k.
8
Let p(o) = 9302*o**2 + 3*o - 3. Let c be p(1). Let r be 1 - (c/6981 - (-5)/(-15)). Let b = -172180/20943 - r. Find the common denominator of 19/27 and b.
27
Suppose -4*g - 2*n = 94, 2*g + 30 = 2*n - 14. Let w be g/(161/(-30)) + 2/(-7). What is the common denominator of -41/2 and (3/60)/(w/(-10))?
8
What is the common denominator of 190/26 + -14 + 10 and ((-4600)/(-240))/(90/24)?
117
Calculate the least common multiple of 117 and ((3 - -1) + 450/(-72))/(27/(-396)).
1287
Let p = -12258577/378 - -32430. Find the common denominator of 25/21 and p.
378
Suppose -4*m - 26 = -3*f, -5*f - 5*m = -2*m + 5. What is the least common multiple of 8 and f*(-1)/5*(-245 + 30)?
344
Let d = -1/54 + -1/2. Calculate the common denominator of d and ((-151)/135)/(10/25)*3.
54
Find the common denominator of (-160)/88 + 2 + (-1757)/6336 and -133/360.
2880
Suppose 12 = -2*v + v + x, 4*v + 4*x + 48 = 0. What is the common denominator of 38/15 and 2/v*348/(-480)*6?
120
Let p(k) = k**3 - 4*k**2 - 7*k + 9. Let b be p(5). Let f be -4 - b/((-1)/(-13)). Suppose 8*x + 15 = f*x. What is the lowest common multiple of x and 30?
30
Let o = 5363 - 5351. What is the smallest common multiple of o and 591?
2364
Let a be -6 - (-4 + 3 + -3). Calculate the smallest common multiple of 21 and (-25)/5*-1 - 2/a.
42
Calculate the common denominator of 3/9 - (-119)/(-28) and -61/204.
204
Suppose 0 = 3*h + 5*g - 25, 5*h - g + 0*g + 5 = 0. Let p = h - -2. Suppose -51*q + 82 + 326 = 0. Calculate the least common multiple of q and p.
8
Let x = -335 + 341. Calculate the least common multiple of 6/(x/9 + 0) and 31.
279
Suppose -3*f = -4*f + 30. Let g = -237900 - -237903. What is the least common multiple of g and f?
30
Let g(f) = -3*f**2 + 153*f + 30. Suppose -4*r + 43 = -53. Calculate the lowest common multiple of g(51) and r.
120
Let v = -28585321/306 + 93416. Suppose 0 = -5*u - 3*a + 345, 5*a - a - 345 = -5*u. Calculate the common denominator of 3*(1 - u/(-54)) and v.
306
Suppose 7*c = -10*c + 13*c + 13520. What is the lowest common multiple of 2028 and c?
10140
Let x(q) = 79*q - 3944. What is the least common multiple of 6 and x(68)?
1428
Let g = 9637 + -9599. What is the lowest common multiple of g an | {
"pile_set_name": "DM Mathematics"
} |
Simplify ((s/(s**(1/2)/s)*s)**(-26/7)*((s*s*s**(-3/7))/s)/(s/s**1))**39 assuming s is positive.
s**(-2379/7)
Simplify (m**8*((m**(-7)/m)/m)/m)/(m/m**(-35)*(m/(m**(-3/14)/m))/m*m) assuming m is positive.
m**(-563/14)
Simplify ((s/(s/s**26))/s)/s**(20/3)*s**(-3/20)/(s**(-34/5)*s) assuming s is positive.
s**(1439/60)
Simplify (t*t**(-2))**(-11)*t/(t/t**(-2/9))*t/t**7 assuming t is positive.
t**(43/9)
Simplify ((x*(x/(x*x/(x**(2/25)/x*x)))/x)/(x*x**(2/11)))/(x/(x*x**(1/4))*x*x**(-15)) assuming x is positive.
x**(13363/1100)
Simplify (p*p*p*p**4)/(p**34*p)*((p**(-1)/p)/p)/p*p*p**22*p assuming p is positive.
p**(-8)
Simplify ((u/(u/((u/(u/((u/(u*u**(5/4)))/u)))/u*u)))/u*u/(u/(u**19/u)))/((u*u/(u*u**25*u*u))/u**(6/7)) assuming u is positive.
u**(1165/28)
Simplify ((m/(m/(m**(2/49)/m)))/(m*m*m**(-1/3)))**8 assuming m is positive.
m**(-3088/147)
Simplify d**6/((d*d**(-1/15))/d)*d**(-1)/(d**(2/21)*d) assuming d is positive.
d**(139/35)
Simplify (((t**(1/3))**(-3/20))**(-1/35))**(-31) assuming t is positive.
t**(-31/700)
Simplify (((g*g*g*g**1*g)/((g/(g/(g**(1/2)/g)))/g*g))/(g**(1/3)*g)**(1/11))**(4/7) assuming g is positive.
g**(710/231)
Simplify (a*a*a**(-13)*a)/((a*(a*a/(a/(a**6/a*a)))/a)/a)*(a**(3/4))**(-1) assuming a is positive.
a**(-67/4)
Simplify (((c*c**(2/7)*c)/c*c*c**7*c)/(c**4)**(5/2))**(-3/7) assuming c is positive.
c**(-6/49)
Simplify (y*(y/(y*y/((((y/(y/y**(-4/29)))/y)/y)/y)))/y*y/(y*y/(y/(y*y**(-5)))))/((y**(2/17)/y)/y)**(3/22) assuming y is positive.
y**(644/5423)
Simplify ((a/a**(-11/4))/a*a/(a/(a**(-10)/a)))/(a/(a/(a/((a*a/(a**(2/37)/a)*a)/a*a))*a)*a**(-6)) assuming a is positive.
a**(251/148)
Simplify ((g**(-2/7))**(33/7)*(g**(-2/5))**(-2/107))**(-22) assuming g is positive.
g**(772508/26215)
Simplify (n/((n/(n*n*n*n**(-3/2)))/n))**(-4/29)/(n*n**(1/4)/n*n)**(-7) assuming n is positive.
n**(975/116)
Simplify (h*h**(2/23))**46*(h*h*h*h**(2/23))/(h/(h*h**(1/12))) assuming h is positive.
h**(14675/276)
Simplify (m*m/(((m**(-19)/m)/m)/m))/((m*m**(-3/4))/m)*(m**2)**19 assuming m is positive.
m**(251/4)
Simplify (m/(m*m*m**(1/4)*m)*m*(m*m**(28/3)/m)/m)/(((m/(m/m**(5/11))*m)/m)/m*m**(1/20)/m) assuming m is positive.
m**(2831/330)
Simplify ((w**4*w)/(w*w**(4/7)))/(w**10/w*w)**(2/183) assuming w is positive.
w**(4252/1281)
Simplify (m**(-1/16)*m*m**(-2/7))/(m**(-12)/m*m)**36 assuming m is positive.
m**(48457/112)
Simplify w/w**(2/7)*w**5/w*w**(-7)*w**(-1/4)*w*w assuming w is positive.
w**(-15/28)
Simplify (g**(7/2)*g*g/(g/(g*g**(2/3)/g*g))*g)**(-2/63) assuming g is positive.
g**(-43/189)
Simplify ((k**22/((k/(k**(-1/3)*k))/k))**(-11/2))**(-3/2) assuming k is positive.
k**187
Simplify (i/(i**(2/3)/i)*i**(-10))/(i**(2/11))**(-1/11) assuming i is positive.
i**(-3140/363)
Simplify d*d**(-4/3)*d*d**(-7)/d*d*d*d*d**(-4/5)*(d/(d*d/d**(-1/6)))/d assuming d is positive.
d**(-73/10)
Simplify (v/(v**(-15/7)*v)*v**(5/8))/(v**(-3))**(-1/3) assuming v is positive.
v**(99/56)
Simplify o**(-18)*o**(19/4)*(o*o**(-4/7)/o)/o**(-15) assuming o is positive.
o**(33/28)
Simplify (z/(z*(z*z**(4/7)*z)/z*z*z*z))/(z/z**(-12))*(z/(((z*z**(-3/4)*z)/z)/z))/(z/(z**13/z)) assuming z is positive.
z**(-135/28)
Simplify (((h/(h*h**(-5/4)))**(-8/5))**(5/9))**(-6/7) assuming h is positive.
h**(20/21)
Simplify (((c/(c/(c/c**(5/7))*c))/((c/(c*(c/(c**(-8)*c))/c))/c))**(-24))**(-1/5) assuming c is positive.
c**(1224/35)
Simplify (k*k**(19/3))/(k*k/((k*k*k**(3/5))/k))*(k**(2/49))**14 assuming k is positive.
k**(788/105)
Simplify (k**(-2)/(k*k*k/(k/k**(-1)))*k**(1/4)/(k/k**(-3/4)))**37 assuming k is positive.
k**(-333/2)
Simplify (t**(1/6))**(-4/13)*(t/(t/(t*t**(-1/15))))/(t/t**4) assuming t is positive.
t**(757/195)
Simplify ((w/(w/(w/w**(3/2))))/w)**(-2/27)*w**9*((w/(w/((w*w**(1/6)/w*w)/w)*w*w)*w*w)/w)/w assuming w is positive.
w**(131/18)
Simplify (u**(4/7))**(-30)/(u/u**(1/3))**(-9) assuming u is positive.
u**(-78/7)
Simplify (x*x**8*x)**(-7/3)/(x*x**(-2/19))**38 assuming x is positive.
x**(-172/3)
Simplify (t**(-13)/(t**6/t))/((t/(t/t**(-5)))/(t/t**4)) assuming t is positive.
t**(-16)
Simplify (d*d/d**(-7)*d)/d*d**(-2)*d/(d/d**(-17))*d**(1/27) assuming d is positive.
d**(-269/27)
Simplify (c*c**(1/22))/(c**(8/5)*c)*c**(-13/5)/(c*c*(c*c**(3/2)/c)/c*c) assuming c is positive.
c**(-421/55)
Simplify (n**(-3))**(-1/6)*(n**(2/9))**(-38) assuming n is positive.
n**(-143/18)
Simplify c/c**(-1/9)*c**(-1/10)/c*(c**(-9/2)*c)**(4/9) assuming c is positive.
c**(-139/90)
Simplify ((f*f**0)**(2/91)/(f/(f*f/((f*f**5)/f*f)*f)*f**(-4)))**18 assuming f is positive.
f**(36/91)
Simplify (v**0)**(3/13)*v*v*v*v**(-13)*v*v*v/(v**3/v) assuming v is positive.
v**(-9)
Simplify ((b*b**(-14))/b)/b**(-2/15)*(b/(b*b/b**(3/11)*b))/(b*b**(-4/7)) assuming b is positive.
b**(-18506/1155)
Simplify ((h**(-1))**(-7/4)*(h/(h/(h**(1/2)*h)))**(12/5))**(-39) assuming h is positive.
h**(-4173/20)
Simplify (j**(2/15)*j)**(-47)*j**(-1/10)/(j**(1/4)*j) assuming j is positive.
j**(-3277/60)
Simplify (r**12/r**(2/3))/(((r*(r/r**27)/r)/r*r)/r**(-1/2)) assuming r is positive.
r**(221/6)
Simplify (n**(-4/9)*n**(-4/11))/(n*n**(8/7)*n*n*n)**5 assuming n is positive.
n**(-18380/693)
Simplify (q**(-1/7))**(-1/12)/((((q**1*q)/q)/q*q)/q)**(-49) assuming q is positive.
q**(1/84)
Simplify (((l*l*l**(-2/25))/l)/l)**(1/49)/(l*l*l*l**(-18)*l*l/(l/(l/l**(10/13))*l)*l) assuming l is positive.
l**(219249/15925)
Simplify b**(-7)*b**13*b*b*b*(b**(-7))**(2/71) assuming b is positive.
b**(625/71)
Simplify (((o*o**2)/o)**(-37)*o**(-2)/o**(-3/4))**(-20/3) assuming o is positive.
o**(1505/3)
Simplify (z**(-13))**(-3/2)*(z*z**9*z*z)**(2/11) assuming z is positive.
z**(477/22)
Simplify (j/j**(-2))**31*((j**(4/3)/j)/j)/j**(3/5) assuming j is positive.
j**(1376/15)
Simplify (((j/(j/(j/j**19)))/j**(-16))**(-2/39))**(4/7) assuming j is positive.
j**(16/273)
Simplify (c**(-5/9)/(c**4/c))**(2/19) assuming c is positive.
c**(-64/171)
Simplify (i/((i**(-2/17)*i*i*i)/i)*i*i**(-1/5)*i*(i*i**(2/11))**(2/9))**(-2/117) assuming i is positive.
i**(-1528/75735)
Simplify ((q**(9/4)/q*q)/(q/q**(-13)))/((q*q/q**(-9))/q*q*q*(q**(-4/11)*q)/q*q) assuming q is positive.
q**(-1073/44)
Simplify ((m/((m**0*m)/m))**(23/3)/((m/m**6)/(m/(m/((m**(2/5)/m)/m))*m*m)))**(8/7) assuming m is positive.
m**(224/15)
Simplify h*h/((((h*h/h**4)/h)/h)/h)*h/((h*h**(-13)*h)/h*h)*h*(h**(-8))**(-18/7) assuming h is positive.
h**(284/7)
Simplify ((a**(-2/37)*a)/(a*a**(-6))*a*(a/(a*a/a**5))/a*(((a/a**(-1))/a)/a)/a*a)**(-4) assuming a is positive.
a**(-1472/37)
Simplify (i*i**(-21)*(((i/i**(-4/11))/i)/i)/i)**(9/11) assuming i is positive.
i**(-2142/121)
Simplify (c*c/(c/((c**(1/8)*c)/c))*c**(-4))/(c**(1/6)*c**(-12)) assuming c is positive.
c**(215/24)
Simplify (k/(k/k**22)*k*k**(-27)/k)/(k**13/(k*k**(-30))) assuming k is positive.
k**(-47)
Simplify t**(-2/11)*(t/((t/(t*t**(-9/5)))/t))/t*(t**(-2))**(-36) assuming t is positive.
t**(3906/55)
Simplify b**(-14)*b/b**(-16)*b*b**(1/9)/(b**(-3/16)/b) assuming b is positive.
b**(763/144)
Simplify (t**(-2/11)/t**(-1/18))/(t/t**(-2))**19 assuming t is positive.
t**(-11311/198)
Simplify (((k/k**(-8)*k)/(k/k**13))/((k*k*k**4/k*k*k)/((k/(k/k**(-4)*k))/k)))**(-2/35) assuming k is positive.
k**(-18/35)
Simplify (k**(-9)*k**(2/7)*(k**(-1/4))**35)**(2/3) assuming k is positive.
k**(-163/14)
Simplify ((i**(2/11)*i**5)**(6/11))**(-29/4) assuming i is positive.
i**(-4959/242)
Simplify (o/(o*o**0*o*o*o))**(-5/3)*(o*o/(o/o**2)*o*o)**(6/23) assuming o is positive.
o**(145/23)
Simplify ((l/((l*l**1)/l)*l)/l)**(4/35)*l**(-11)*l/l**(-8) assuming l is positive.
l**(-2)
Simplify ((u**(-1/12)*u*(u**12*u)/u*u)/(u**(-4)*u)**(-6/25))**(-2/43) assuming u is positive.
u**(-3959/6450)
Simplify a**(4/11)*a**(-3/4)*(a**7)**(-12) assuming a is positive.
a**(-3713/44)
Simplify (b/((b*b**(-17))/b*b))/(b**8*b)*((b/b**8)/b)/(b**(-16)*b) assuming b is positive.
b**15
Simplify (l**8/(l**(-7)/l*l)*(l**(-1)*l)**(7/8))**(17/2) assuming l is positive.
l**(255/2)
Simplify x**(-1/7)/x*(x/(x**(1/11)/x))/x*x*(x/(x*x/x**(-6)))**46 assuming x is positive.
x**(-24735/77)
Simplify (g*g**(1/8)*g*g)**(-15)*(g*g/(g/g**(1/4)*g)*g)**(-1/14) assuming g is positive.
g**(-1315/28)
Simplify r*r**(-24)*r*r**16*r/(r/r**0)*r/r**(2/41) assuming r is positive.
r**(-207/41)
Simplify (((q/q**(2/5))**18)**(-3/7))**(-2 | {
"pile_set_name": "DM Mathematics"
} |
t(b) = 2408*b + 83. Let o(x) = 3612*x + 125. Let i(j) = -5*o(j) + 8*t(j). Is i(11) a prime number?
False
Suppose 0 = 4*l - 3*u - 17, -2*l + 17 = 4*u + 3. Let s be -3 - -2*l/10. Is (-2688)/(-18) + s/6 composite?
False
Let r = 28329 + 56458. Is r a composite number?
False
Let t(o) = -7*o**2 + 19*o + 33. Let v be t(-17). Is v/(-5) - (-16)/40 a prime number?
True
Let p(x) = x - 20. Let k be p(20). Suppose k*n = -3*n + 42. Suppose -n*b + 673 = -13*b. Is b composite?
False
Let x = 13456 + 41373. Is x a composite number?
False
Let n(d) = -2*d**3 - 10*d**2 - 2*d + 4. Let s be n(-4). Is 5*((-10)/(-8) + (-15915)/s) composite?
True
Suppose -47*c + 4*r = -42*c - 739366, -3*r = -3*c + 443616. Is c a prime number?
False
Let h(l) = -4 - 2*l - 6*l + 5 + 13*l + 19*l**2. Let i(n) = 2*n**2 - 9*n - 14. Let a be i(-2). Is h(a) composite?
False
Suppose -2*o + 37*u = 34*u - 205715, 10*o - 3*u - 1028587 = 0. Is o composite?
False
Suppose 16613990 - 1590820 = 118*i. Is i composite?
True
Suppose 0 = 7*a - 2*a. Suppose 14*b - 12*b - 3828 = a. Let y = b - 553. Is y a composite number?
False
Let a(n) = n**3 + 14*n**2 + 25*n + 24. Let i be a(-12). Suppose -i = -7*r + 16. Let o(j) = 441*j - 25. Is o(r) a prime number?
False
Let j(s) = 442*s**3 - 2*s**2 + 18*s - 2. Let l be j(4). Suppose 3*q - 34297 - l = -2*b, 0 = 3*b - 5*q - 93982. Is b composite?
False
Let v(b) = 4*b**2 - 14*b - 21. Let t(z) = 9*z**2 - 29*z - 42. Let r(o) = -3*t(o) + 7*v(o). Let p be r(-11). Suppose -574 = -3*n + p. Is n a composite number?
True
Suppose -265*a + 174730219 = -194*a. Is a composite?
False
Let r(u) = -20*u + 417. Let h be r(0). Let o = h + -218. Is o composite?
False
Let l(t) = 801*t + 1430. Is l(23) a composite number?
False
Let u be ((-1)/2)/(7/(-6) - -1). Let l be (-8491 - (u - 0)) + 3 - -1. Is ((-3)/6)/(l/4244 - -2) prime?
True
Suppose 0 = -4*o - 16, 46091 = 2*h - 5*o + 4885. Is h a composite number?
False
Is 4*(645240/32 - (-16 - -9)) a prime number?
True
Let w(m) = -76*m**3 + 2*m**2 + 24*m - 149. Is w(-15) a prime number?
True
Let z(y) = -4 + 348*y**2 - 17 + 16 - y. Is z(6) a prime number?
True
Suppose 16*k = 25*k - 189. Is k/(-12)*(2 - (-5052)/(-2)) prime?
False
Suppose -2*t + 4*b + 27206 = 0, 47*t + 5*b = 50*t - 40806. Is t a composite number?
False
Suppose 0 = 26*i - 22*i - 164. Let v = 413 + i. Is v a composite number?
True
Suppose -n + 364119 = -12*n + 32*n. Is n prime?
False
Suppose 115*t - 85710 - 917663 = 66*t. Is t prime?
True
Suppose 15*q + 102413 - 502166 = 6*q. Is q a composite number?
False
Let f = -3456 + -13630. Let y = 25899 + f. Is y prime?
False
Let q = -41 + 43. Suppose -23 = -r - 5*b, -b + q*b = r + 1. Suppose -r*m + 7*m = 1956. Is m composite?
True
Let r be -5*(12/24)/(2/(-4)). Suppose 0 = -r*i - 4*q + 26675 - 7354, -i + 3866 = -q. Is i composite?
True
Let r(k) = 449*k**2 - 177*k + 77. Is r(-9) a composite number?
False
Let f(y) be the first derivative of 593*y**3/3 - y + 109. Is f(2) composite?
False
Let u(k) = -54*k**2 - 3*k + 3. Let f be u(5). Let m = 2153 + f. Is m composite?
True
Suppose -9121 = -4*k + f + 188, -4*k + 9311 = -3*f. Is k composite?
True
Let z(y) = -1383*y**3 - 2*y**2 - 17*y - 53. Is z(-3) composite?
False
Is (26/78)/((-6)/(-2647926)) a prime number?
True
Suppose -2*v + 17480 = 29948 - 152450. Is v a prime number?
True
Let t(u) = u**2 - 12*u + 32. Let n be t(4). Suppose n = -4*q + 16*q - 45348. Is q prime?
True
Suppose -3*c - 1263 = -3*u, 6*u - 9*u + 5*c + 1273 = 0. Let k = 3553 - u. Is k a composite number?
False
Suppose -32*d + 27*d + 60 = 0. Suppose -17*b + 15*b + d = 0. Suppose b*t = 7*t - 293. Is t a prime number?
True
Let u be 2140 - ((-4)/26 - 28/(-13)). Suppose 0*o - u = 2*a + 2*o, 8 = 2*o. Is 1*(-4)/(1 - -3)*a composite?
True
Let d(k) be the third derivative of -13*k**4/4 + 2*k**3/3 + 5*k**2. Let i be d(-5). Suppose 2*l = i - 116. Is l prime?
True
Let d(f) = 7*f**3 - f**2 + 2*f. Let y be d(1). Is (-17)/(y/(-14) - 30681/(-53949)) a prime number?
False
Suppose 26686659 = -200*z + 219*z. Is z prime?
False
Suppose 3*q - r - 15 + 0 = 0, q - r - 5 = 0. Let b be (4 - 1)*(5 - -142). Suppose q*k + 5*t - 1630 = 0, 5*k - 1224 = 2*t + b. Is k a prime number?
True
Let s = 281180 + -121107. Is s composite?
False
Let r = 477169 - 335870. Is r a composite number?
True
Let s(c) = -c**2 + 10*c + 3. Let i be s(10). Suppose 0 = i*u + 48 - 33. Is (-1)/u - 8068/(-10) composite?
True
Let h be -4 - (8/(-2) + -9). Let y(c) = 4*c + 11 - 5 + h*c**2 - 3 - 3*c**2. Is y(4) prime?
False
Is -4 + (7 - 1484624/(-8)) a prime number?
False
Suppose 3*c = -h + 132, h = -4*c + 2*h + 176. Suppose 0 = -48*x + c*x + 2072. Suppose j + 5*f - x = 0, -2*f - 3*f = -5*j + 2620. Is j a prime number?
True
Let g(u) = -u**3 - 17*u**2 + 3*u - 3. Let y be g(-17). Let f = -50 - y. Suppose -3*p - f*p = -805. Is p a prime number?
False
Let r be (-294)/(-30) + -10 + (-101926)/(-5). Suppose -k + 4*a + r = 4*k, -2*k + a + 8151 = 0. Is k composite?
False
Suppose -78 = -9*n + 6*n. Is ((-4)/(-1) - 2)*52403/n prime?
False
Let w = 23 + -14. Suppose -u - r + 8182 = 3*u, -u - 3*r = -2051. Suppose -w*l + 8*l = -u. Is l prime?
False
Let q be (-5)/30 - (-17)/(-6). Let u(s) = -4 - 1 - 23*s**2 + 47*s**2. Is u(q) a prime number?
True
Suppose 2*c - 6*c + 5*o + 52 = 0, 2*o - 26 = -c. Suppose 3*z = z - 2*s + c, z - 14 = 4*s. Is (-16)/40 - (-11394)/z prime?
False
Is (-38)/(-437) - (-149165456)/368 a composite number?
False
Suppose 0 = -7231*v + 7229*v + 1835426. Is v a prime number?
True
Suppose 45566220 = 36*m - 8*m. Is (2/(-3))/((-23)/(m/10)) composite?
True
Suppose 35*u - 5149625 = -612190. Is u a prime number?
True
Let m = -66019 - 60718. Is -4 - (0 - 1)/((-13)/m) a composite number?
True
Suppose 7*y - 15579 = -5*u + 7759, -2*y - 5*u + 6693 = 0. Is y a prime number?
True
Let b be ((153/6)/17)/(3/40). Suppose 3212 + 14328 = b*w. Is w prime?
True
Suppose 0 = -2*b - 4*x - 26 + 66, 35 = 5*b - 3*x. Let a(d) = 122*d**2 + 4*d - 55. Is a(b) composite?
True
Let t(a) = -20166*a + 7. Is t(-1) composite?
False
Suppose 3468 = -4*r + 4*n, -5*r = -n - 0*n + 4315. Let j = r - -13467. Is j a prime number?
False
Let o(j) = -4378*j + 33. Let w be o(-3). Suppose 12*h - 2253 = w. Is h prime?
False
Let o = -547358 + 826359. Is o a prime number?
True
Let i be (-1 + -1)*(45/9 + -7). Suppose 26*k = i*k + 216766. Is k a prime number?
False
Suppose -392295 = -5*g + 130*w - 127*w, -4*g - 4*w + 313836 = 0. Is g a composite number?
True
Suppose -3*a = 2*d + 3801, -3*d = -5*d. Let z = a + 4470. Is z a prime number?
True
Let b(t) = -t**3 + 10*t**2 + 41*t - 201. Let n be b(12). Let l(o) = -5*o - 5. Let m be l(-5). Suppose -n = -x + m. Is x prime?
True
Let d(x) = 6588*x + 1055. Is d(8) a composite number?
False
Let d = 963634 + -363751. Is d a composite number?
True
Suppose -c = -9*c + 136. Suppose 19*l = c*l - 4. Is (-10890)/(-27) + l/6 prime?
False
Suppose 4*p - 4*o - 4216 = -3*o, 5*p + 4*o - 5291 = 0. Suppose -13*j = -p - 8604. Is j a prime number?
True
Let y(m) = -1. Let u(v) = v**2 + 10*v + 3. Let z(b) = u(b) + 3*y(b). Let l be z(-10). Suppose l = 9*n - 33 - 1065. Is n a composite number?
True
Let z = 232 + -228. Is (-202)/((-1)/(65/40*z)) prime?
False
Let t = -9 + 10. Let d be (220/t)/5 - -3. Suppose d = -l + 516. Is l a composite number?
True
Suppose 4*v + 2*l - 80194 = 0, 54*l - 58*l - 40122 = -2*v. Is v composite?
False
Suppose 1500 = l - 216 + 217. Is l prime?
True
Suppose l - m - 1809 = -3*l, l = 2*m + 461. Let n(b) = b**3 - 28*b**2 - 4*b + 2. Let c be n(28). Let j = c + l. Is j a composite number?
True
Let d be -9759*(203/(-21) - -9). Suppose 8665 = -107*m + 111*m - 3*x, -5*x + d = 3*m. Is m a prime number?
False
Let k be ((-48)/(-60))/((-1)/(-60)). Suppose 0 = -k*q + 47*q + 101. Suppose -3*c + 373 = x + 80, -c - 2*x = -q. Is c prime?
True
Let h = 19842 + -8729. Is h prime?
True
Let u(k) = -4*k**3 + k**2. Let n be u(-1). Suppose n*b - 35 = -2*b. Suppose -2*g - 2*g - o = -1343, -5*o - 1710 = -b*g. Is g composite?
False
Let l(u) = 6801*u + 9727. Is l(16) prime?
True
Let g(f) = 48728*f + 5927. Is g(6) prime?
False
Let j = -49983 - -144541. Is j a prime number?
False
Suppose 3*l + 4*n = 17717, -62*l + 58*l - 3*n + 23632 = 0. Is l a composite number?
True
Let g be 444/(-36) + 15/(-9). Is (-9 - (-195)/21) + (-16278)/g prime?
True
S | {
"pile_set_name": "DM Mathematics"
} |
is -1002011011 - -1?
-1002011010
In base 9, what is -2865 - 1?
-2866
In base 7, what is 145 + -1?
144
In base 3, what is 100200121 + 11?
100200202
In base 4, what is 13 - -23?
102
In base 5, what is 10042 - 11?
10031
In base 6, what is 34333 - 1?
34332
In base 16, what is -14 + 1b2?
19e
In base 14, what is 1 + -18d?
-18c
In base 5, what is 143 + 10200?
10343
In base 9, what is 32 - 24?
7
In base 6, what is 5 - -144?
153
In base 6, what is -4 - 232?
-240
In base 2, what is 101 - -110100?
111001
In base 2, what is -1010 + 111?
-11
In base 7, what is -30 - -113?
53
In base 14, what is 2 + -1b67?
-1b65
In base 9, what is -672 + -14?
-686
In base 13, what is 240 - 3?
23a
In base 11, what is -423 + -1?
-424
In base 15, what is 8 + -b0?
-a7
In base 13, what is 1 + 77?
78
In base 16, what is 0 + -3a0?
-3a0
In base 10, what is 1 - -350?
351
In base 15, what is -1 - 7?
-8
In base 7, what is 106215 + 3?
106221
In base 3, what is 120 - -1211?
2101
In base 14, what is -33c - 0?
-33c
In base 6, what is -10 + -11122?
-11132
In base 7, what is -1 - -342?
341
In base 13, what is b48 + -2?
b46
In base 9, what is 2230 + 4?
2234
In base 5, what is -10231 + -2?
-10233
In base 8, what is -5 + 41?
34
In base 13, what is -10b - 1?
-10c
In base 14, what is -229 - -2?
-227
In base 2, what is -1000001000 - 10?
-1000001010
In base 6, what is 54 + 0?
54
In base 14, what is -6 + 325?
31d
In base 9, what is -13 - 280?
-303
In base 5, what is -1344 + 2?
-1342
In base 7, what is -223 - 0?
-223
In base 5, what is 0 - -120?
120
In base 9, what is 17 - 100?
-72
In base 5, what is -43 - 4?
-102
In base 2, what is 1100000100 - 1011?
1011111001
In base 14, what is -2 + b?
9
In base 8, what is 0 + -152?
-152
In base 12, what is 27aa + -4?
27a6
In base 12, what is 9 - -165?
172
In base 10, what is -2 + -1141?
-1143
In base 6, what is 1 - 11240?
-11235
In base 4, what is -33203 - 0?
-33203
In base 7, what is -1566 - 11?
-1610
In base 6, what is 43444 - 2?
43442
In base 12, what is 7 + -102?
-b7
In base 2, what is -111 - 11101001?
-11110000
In base 16, what is 3e + 3a?
78
In base 11, what is 90 + -2?
89
In base 5, what is 10 - -34?
44
In base 13, what is b9 - 75?
44
In base 9, what is -677 + 3?
-674
In base 6, what is -53 + 151?
54
In base 4, what is 1101133 - 10?
1101123
In base 15, what is 4 + 115?
119
In base 12, what is 2813 - -4?
2817
In base 16, what is -e + -190?
-19e
In base 12, what is -46 - 19?
-63
In base 15, what is 427 - 7?
420
In base 16, what is -3 + 32?
2f
In base 10, what is -5 - 438?
-443
In base 11, what is 106 - 0?
106
In base 8, what is -1120 + -1?
-1121
In base 16, what is 24 + -9?
1b
In base 13, what is -61 - -9?
-55
In base 7, what is -21 - -10?
-11
In base 14, what is -40 - 2?
-42
In base 14, what is -36 + -6?
-3c
In base 14, what is 3496 - 3?
3493
In base 15, what is 2 - -351?
353
In base 2, what is -100000 - 1010?
-101010
In base 9, what is -17 + -3?
-21
In base 11, what is -5 + -12?
-17
In base 3, what is -20 + 2102101?
2102011
In base 15, what is 2 - -47?
49
In base 15, what is -8 - -cdc?
cd4
In base 16, what is 5c + -1?
5b
In base 10, what is -2 - 20?
-22
In base 9, what is 21 + -1171?
-1150
In base 4, what is -2 - -12?
10
In base 11, what is -4 - -40?
37
In base 13, what is 1 + -1006?
-1005
In base 2, what is 10110 + 100000?
110110
In base 12, what is 7 + 8?
13
In base 4, what is -110010 - 10?
-110020
In base 2, what is 10100111100111 - 100?
10100111100011
In base 4, what is 22 - 202?
-120
In base 3, what is 1201 - -100?
2001
In base 14, what is 3469 - -3?
346c
In base 14, what is 189 + 5?
190
In base 7, what is 0 + -34?
-34
In base 3, what is 1100 - -201022?
202122
In base 16, what is -6 + d?
7
In base 12, what is 1b02 + -5?
1ab9
In base 13, what is -104 - -a?
-c7
In base 12, what is -173 - 5?
-178
In base 13, what is -3 + 54?
51
In base 9, what is -3 - 475?
-478
In base 14, what is 1a28 + -3?
1a25
In base 13, what is -2 + -1c4?
-1c6
In base 13, what is 220 + -18?
205
In base 2, what is 100 + -1000101?
-1000001
In base 9, what is -148 + -7?
-156
In base 5, what is -1 + 14334?
14333
In base 14, what is -240 + 3?
-23b
In base 7, what is -5 + 116?
111
In base 11, what is -3 - -31?
29
In base 6, what is 10 - -115?
125
In base 10, what is 1322 + 4?
1326
In base 10, what is 769 - 0?
769
In base 11, what is 6 - -2511?
2517
In base 14, what is 30 - -2?
32
In base 7, what is 42 + -64?
-22
In base 13, what is -5b - 19?
-77
In base 12, what is -1129a - -5?
-11295
In base 5, what is 101 - -1?
102
In base 11, what is 465 + -4?
461
In base 8, what is 223 + 5?
230
In base 13, what is -181c - 1?
-1820
In base 9, what is 4 - 144?
-140
In base 6, what is -5 + 515?
510
In base 13, what is -144 - -7?
-13a
In base 11, what is 6 + -23?
-18
In base 8, what is -23176 + -2?
-23200
In base 5, what is -2 - -2024?
2022
In base 10, what is 147 - -29?
176
In base 16, what is -57c + -2?
-57e
In base 8, what is -5 + -63?
-70
In base 3, what is -222 - -102021?
101022
In base 9, what is -23 + 118?
85
In base 2, what is -11 + -110111?
-111010
In base 6, what is 130232 + 2?
130234
In base 5, what is -1120 - -23?
-1042
In base 8, what is 120 + -4?
114
In base 15, what is -273 - 3?
-276
In base 9, what is -1313 - -1?
-1312
In base 7, what is -4 + -1?
-5
In base 16, what is -160 + 1?
-15f
In base 16, what is -30b2 - 5?
-30b7
In base 5, what is -10 - -122?
112
In base 5, what is -12301 - 200?
-13001
In base 6, what is 5 - 1034?
-1025
In base 5, what is 0 + 23433?
23433
In base 11, what is 285 + 5?
28a
In base 6, what is -110 - -1?
-105
In base 7, what is 4 + -665?
-661
In base 5, what is 4 - 1441?
-1432
In base 6, what is -2 + -103?
-105
In base 15, what is -6 + 121?
11a
In base 16, what is b9 - 1?
b8
In base 16, what is -289 + -1d?
-2a6
In base 12, what is -2 + 358?
356
In base 9, what is -1 - 741?
-742
In base 16, what is -189 + -d?
-196
In base 6, what is 310 - -121?
431
In base 5, what is -124 - -10244?
10120
In base 12, what is 471 + 14?
485
In base 13, what is 2 + -3b0?
-3ab
In base 6, what is -235 + -3?
-242
In base 2, what is -1011 + -11101110?
-11111001
In base 3, what is 1122021012 - -1?
1122021020
In base 15, what is 1c - -a6?
c3
In base 13, what is -72 - -76?
4
In base 10, what is -3 + 1537?
1534
In base 4, what is 22 + 23000?
23022
In base 12, what is 0 - 248?
-248
In base 8, what is 3 - 104?
-101
In base 14, what is 9 + 1305?
1310
In base 15, what is 2 - -2d?
30
In base 3, what is 1002 - -12?
1021
In base 15, what is 11 + -b0?
-9e
In base 8, what is 43 - -10?
53
In base 5, what is 204 + -1?
203
In base 3, what is 111 - 11102?
-10221
In base 7, what is 212 + 256?
501
In base 6, what is -523 - 5?
-532
In base 16, what is -3 - -23e?
23b
In base 6, what is -30 - -141?
111
In base 11, what is -3 + -43?
-46
In base 2, what is 110110001 + -11?
110101110
In base 6, what is 133 - -150?
323
In base 4, what is -32 - 3130?
-3222
In base 3, what is 101202 + -11?
101121
In base 12, what is 10 + 5b0?
600
In base 7, what is 440 - -40?
510
In base 14, what is 1a44 + -7?
1a3b
In base 4, what is -21011 - 112?
-21123
In base 16, what is 4 + 7?
b
In base 5, what is -44 - -2?
-42
In base 3, what is -211011 - 1?
-211012
In base 6, what is 1122 + -10?
1112
In base 13, what is 39a3 - -2?
39a5
In base 11, what is 506 - 5?
501
In base 10, what is -3 - -69?
66
In base 16, what is 3 + 20?
23
In base 11, what is 4 - 448?
-444
In base 10, what is 247 + 2?
249
In base 8, what is 76 + -4?
72
In base 16, what is -4 + 5d?
59
In base 2, what is -11111101 - 1000010?
-100111111
In base 2, what is -1000001000 - 0?
-1000001000
In base 10, what is 5 + -426?
-421
In base 16, what is -22 + -2?
-24
In base 7, what is -416 - -5?
-411
In base 13, what is 216 - -3?
219
In base 7, what is -2 + -511?
-513
In base 16, what is -2b - -5?
-26
In base 5, what is -4 + 203?
144
In base 2, what is -1001000101 - 110?
-1001001011
In base 11, what is -4 + 63a?
636
In base 15, what is 5eab + 2?
5ead
In base 9, what is -2157 - 4?
-2162
In base 13, what is -9 - -1a4?
198
In base 4, what is -3 + -12130?
-12133
In base 16, what is -16 - 9?
-1f
In base 14, what is -3ca7 - -4?
-3ca3
In base 10, what is 39 - 51?
-12
In base 2, what is -1000101 + -10?
-1000111
In base 4, what is 100 - -102?
202
In base 7, what is -2143 - 5?
-2151
In base 4, | {
"pile_set_name": "DM Mathematics"
} |
**2 - 4*n + 3. Let r(t) = 13*t**2 - 11*t + 8. Let i(k) = -11*h(k) + 4*r(k). Is i(-2) a multiple of 31?
True
Let b be 5*(1 + (-153)/(-15)). Let z = b - 35. Does 21 divide z?
True
Let t be 7/(-1*(-1)/(-4)). Let w = 111 + -173. Let r = t - w. Does 19 divide r?
False
Let z = -10 - -44. Does 18 divide z?
False
Let m(u) = u**2 + 6*u + 1. Let w be m(-8). Let y = w - -1. Suppose 3*g - 5 = 2*j, -5*g + y + 3 = 3*j. Is j even?
True
Let t be (-1)/(-1 - (-2)/3). Is 6 a factor of 1*(t + -1) + 4?
True
Suppose 2*y - 290 = -2*z, -4*y = -0*z - 5*z + 707. Is z a multiple of 13?
True
Let j(t) = t**3 - 2*t**2 + 6*t - 18. Does 69 divide j(8)?
True
Suppose -3*n = -0*n - 18. Does 6 divide n?
True
Let b = 74 - 45. Suppose 59 = 4*c - b. Is 6 a factor of c?
False
Let u(b) = -b**3 + 10*b**2 - 17*b + 12. Does 3 divide u(8)?
False
Let r(b) = -49*b**3 + b**2 + b + 1. Is 34 a factor of r(-1)?
False
Let o be (-2788)/(-119) + (-8)/(-14). Let d = 82 - o. Does 20 divide d?
False
Suppose -a + 4*a - 9 = 0. Is ((-6)/a)/((-2)/5) a multiple of 2?
False
Let t(a) = -a - 8. Let h be t(-8). Suppose 3*m = -5*p + 112, h*m = -m - 2*p + 38. Is m a multiple of 19?
False
Suppose -r - r + 14 = 0. Suppose 2*y - 1 = -r. Is ((-15)/(-9))/((-1)/y) a multiple of 5?
True
Let o(m) = 5*m - 5. Is 4 a factor of o(4)?
False
Suppose -4*l + l - n = -193, 5*l = -4*n + 324. Is l a multiple of 8?
True
Let s be (2/(0 + 1))/1. Suppose 4*f - w - 152 = s*w, f - 38 = w. Is 19 a factor of f?
True
Let u = -23 + 32. Is u a multiple of 2?
False
Suppose 11*l - 5199 = -656. Is l a multiple of 12?
False
Let v = 51 + -35. Is 8 a factor of v?
True
Let h(m) = -3*m + 4. Let t be h(-7). Suppose 2*a - t - 39 = -w, w = 0. Does 14 divide a?
False
Suppose -4*j + 235 = j. Suppose -3*a - j = -11. Let y = a - -21. Does 9 divide y?
True
Suppose z + 2*o - 20 = 0, -19 = -2*z + 2*o + 21. Suppose 0 = 3*j - 4*i - 18, 5*j - 13 = 4*i + 9. Suppose z + 24 = j*v. Is 9 a factor of v?
False
Let a(r) = -r**2 + 5*r - 2. Let t be a(4). Suppose t*s + s - u = 0, -14 = -5*s - 3*u. Does 5 divide (-3)/((-3)/13) - s?
False
Let r = 367 + -252. Let w = -78 + r. Is 11 a factor of w?
False
Suppose 0 = -3*z + 4*z. Suppose -5*g + z*g = -205. Does 12 divide g?
False
Let p(z) = -z**2 + 25*z - 1. Is 11 a factor of p(5)?
True
Suppose -3*a = t - a - 4, t - a = 10. Let i = 0 + t. Does 4 divide i?
True
Let j(u) = -u + 1. Let v(h) = -h**3 - 5*h**2 + h + 8. Let d(b) = 2*j(b) - v(b). Let n = 2 - 6. Is 11 a factor of d(n)?
True
Suppose 0 = 2*b + 6. Is 11 a factor of (-5)/(b + (-51)/(-18))?
False
Let x(r) = -r**2 + 9*r - 7. Let d be x(8). Let h be (-151 - 0)/(d/(-1)). Suppose 0 = -5*l + h + 49. Is 17 a factor of l?
False
Let m = -334 + 516. Is m a multiple of 32?
False
Let c be (0 + 237/(-9))*3. Let k = c + 19. Is 5 a factor of (6/(-10))/(4/k)?
False
Suppose -10*i + 441 = -i. Is 16 a factor of i?
False
Suppose 2 = -r - 0*r. Let i = r + 7. Suppose 5*g - b = 8, 2*g - i*b - 2 = -4*b. Is 2 a factor of g?
True
Let z = -28 - -20. Is z/12 + 64/6 a multiple of 5?
True
Suppose 23 = 3*k - 52. Suppose -2*f = j - 34, -k + 0 = -5*f. Does 9 divide j?
False
Let r = 205 + -129. Suppose -5*v + r = -14. Is v a multiple of 15?
False
Let k = 1 + -5. Let s(v) be the first derivative of -v**4/4 - 2*v**3/3 + 2*v**2 + 2*v - 2. Is s(k) a multiple of 9?
True
Let m(u) = -u**3 + 5*u**2 - 5*u + 8. Let s be m(4). Suppose -2*l + 137 = s*h + 3*l, -167 = -4*h + 5*l. Is h a multiple of 19?
True
Let f = -10 + 30. Suppose -f = -5*o - 0. Is 2 a factor of o?
True
Suppose -2*t = -5*t + 5*i + 210, 3*t + 4*i = 183. Is 20 a factor of t?
False
Suppose 4*n + 5*v = 13, -4*n + n = -4*v - 2. Let j = n + -2. Suppose -38 = -2*m - j*m. Is 12 a factor of m?
False
Let j be 0*(-2 - -1)/1. Suppose 540 = 4*z - j*z. Suppose 3*k + 53 = 2*s, 4*s + 24 = 5*k + z. Is 13 a factor of s?
False
Suppose 2*s + 3*o - 178 = 0, o = s - 62 - 32. Suppose 0 = -3*k - k + s. Is k a multiple of 6?
False
Let s = -51 + 86. Is 5 a factor of s?
True
Suppose -17 = -k - 2. Suppose k = -5*m, 4*y - 3*m = 22 + 11. Is 6 a factor of y?
True
Suppose -i + 4*h + 26 = -60, -165 = -2*i + h. Is 30 a factor of i?
False
Let x(d) = -d**3 + 7*d**2 - 3*d - 2. Suppose -2*b - 16 = -2*i, 5*i - b + 9 - 33 = 0. Suppose 24 = i*p - 0*p. Is x(p) a multiple of 8?
True
Suppose y = -2*y - 12, -562 = -5*x + 3*y. Suppose 0*t = -2*t + x. Does 10 divide t?
False
Let w(z) = 8*z + 14. Does 14 divide w(6)?
False
Let g(w) = w**3 - 5*w**2 + 6*w - 6. Let k be g(4). Suppose k*c - 1 - 3 = 0. Does 20 divide 582/10 + c/(-10)?
False
Is (-2 - 1) + -2 + 20 a multiple of 15?
True
Suppose -r - 2*r - 3*d = -171, 2*d = -3*r + 171. Does 11 divide r?
False
Suppose -4*m - 4*z = -m + 34, 5*z + 20 = 0. Let i = -4 - m. Is 6 a factor of i - 1 - -4 - -1?
True
Let q(b) = 5*b**2 - b - 1. Let h be q(-1). Suppose -5*z + 5 + h = 0. Suppose z*w = -0*w + 36. Does 9 divide w?
True
Let l(v) = -v**3 - 6*v**2 - 5*v + 2. Suppose 3 = -0*m - 3*m - 5*h, 0 = -3*h + 9. Is l(m) a multiple of 17?
False
Let o be -4*(21/(-2))/7. Let j(t) = -5*t - 7. Let h be j(o). Let l = h - -88. Does 13 divide l?
False
Suppose 3*a = -3*q + 135, -4*a - 2*q + 157 = -23. Does 14 divide a?
False
Let i = 14 + -9. Suppose i = -b - 0. Let v = b + 7. Is 2 a factor of v?
True
Let w(c) be the second derivative of -c**5/10 - c**2 - c. Does 14 divide w(-2)?
True
Let z(b) = b**2 - b + 3. Suppose -j = 3*j - 16. Does 15 divide z(j)?
True
Let x(j) = j**2 + j. Let c be x(-2). Suppose -c*k = 2*l + 4, 4*l + k + 4*k = -10. Suppose -5*d + 71 - 6 = l. Is d a multiple of 6?
False
Suppose -2*s - 154 = -3*l, -s = -l - 6*s + 23. Suppose -v + l = v. Does 8 divide v?
True
Suppose 0 = 4*k + 43 + 53. Let p = 44 + k. Does 10 divide p?
True
Let r be 1*(-2 + 1) + -3. Let y = -2 - r. Suppose 20 = y*p - 48. Is p a multiple of 17?
True
Let o = -14 - -13. Let u(y) = 9*y**2 + y. Does 8 divide u(o)?
True
Suppose -2*b - 2*r + 3 - 9 = 0, -r = 3*b - 1. Suppose 2*s + 5 - 1 = b*j, 0 = -2*j + 3*s + 1. Is j a multiple of 4?
False
Suppose -7*p + 89 = -464. Is p a multiple of 6?
False
Suppose 4*b = b, -b - 40 = -4*n. Suppose 5*g + 0*g + 55 = 2*a, 0 = a + g - n. Is 15 a factor of a?
True
Let k = 136 + -53. Let y(t) = 2*t - 1. Let z be y(2). Suppose z*l - k - 4 = 0. Is l a multiple of 14?
False
Let t be (16/(-12))/((-4)/(-6)). Is t/6 + (-314)/(-6) a multiple of 24?
False
Let a = -5 + 36. Let j = 20 + a. Is 21 a factor of j?
False
Let g(t) = -t**2 - t. Let z be g(-1). Let d be z/1 + (-21)/(-7). Suppose f = -d*f + 32. Does 8 divide f?
True
Is -49 + 51 - (1 + -1 - 62) a multiple of 16?
True
Let j(k) = k**2 + k - 1. Let z be j(0). Let r be z/((0 - -1)/(-14)). Is (-7)/r*1*-14 even?
False
Suppose -j + 121 = t + 3*j, 0 = -5*t + 2*j + 671. Does 21 divide t?
False
Is (0 + 6/(-2))*(0 + -1) even?
False
Suppose 0 = -6*g + 60 - 18. Is g even?
False
Let c(i) = -43*i - 7. Is c(-1) a multiple of 4?
True
Let o = 182 - 143. Does 5 divide o?
False
Suppose -5*i + f = -0*f - 5, 20 = 2*i - 4*f. Is 15 a factor of (25 - i)/((-1)/(-1))?
False
Let x = 4 + 1. Suppose -4*f - 1 + 3 = -2*u, 5*u + x*f = 25. Does 3 divide u?
True
Let h = -17 + 50. Is h a multiple of 11?
True
Let f = -5 - -5. Suppose f*n + 2*n - 64 = 0. Does 16 divide n?
True
Suppose -2*z - 2*p - 30 = 0, 5*z = -5*p + 2*p - 83. Let g = -14 - z. Does 4 divide g?
False
Let p(z) = -z**3 - 3*z**2 + 4*z - 5. Let o be p(-4). Let i(r) = r**2 + r + 6. Is 17 a factor of i(o)?
False
Is 169 + (-16)/(-4) + 4/(-1) a multiple of 23?
False
Let h(s) = 47*s - 6. Is h(6) a multiple of 12?
True
Suppose -5*z = a + 2*a - 126, 42 = a - 4*z. Is a a multiple of 7?
True
Suppose 3*v - 8*v = 30. Let l = v + 3. Is 11 a factor of (-88)/6*l/2?
True
Let k be -1*4*-2*6/8. Let p(q) = 2*q**2 - 4*q - 5. Let z(d) = -3*d**2 + 6*d + 7. Let g(t) = -7*p(t) - 5*z(t). Is 12 a factor of g(k)?
True
Suppose 4*v - 340 = 2*m, 0*m = -5*v - m + 439. Suppose -3*n + v = -0*n. Is 10 a factor of n?
False
Let l be (-22)/(-8) + 4/16. Let x be l*2/6 + 7. Suppose -4 = -p + x. Is p a multiple of 9?
False
Suppose -2*y + 2 + 2 = -5*k, -2*k - 16 = 4*y. Let h = 0 - y. Is h even?
False
Let u be (-6)/(8/6 + -2). Suppose 2*n - 3*n = -u. Is 9 a factor of n?
True
Suppose 4*u = -16, 2*u + 44 = 4*h - 2*u. Is 7 a factor of h?
True
Suppose -5*t + 15 = 0, 4*t = -v - t + 83. Is v a multiple of 17?
True
Let z(o) = -5*o - 1. Let | {
"pile_set_name": "DM Mathematics"
} |
remainder when k(-4) is divided by 4.
3
Suppose -4*s = 2*b - 82, -13*s + 18*s = 3*b + 119. Calculate the remainder when 49 is divided by s.
5
Let c(m) = -5*m + 1. Let d be c(6). Let f(p) = 2*p**3 - 3*p**2 - 1. Let j be f(4). Let q = j + d. What is the remainder when q is divided by 13?
11
Let u(d) = d**3 + 17*d**2 + 28*d - 23. What is the remainder when 109 is divided by u(-15)?
4
Let c = 1274 - 1268. What is the remainder when 237 is divided by c?
3
Let z(o) = -6*o - 17. Let l be z(-19). Let t = -76 + l. Calculate the remainder when 187 is divided by t.
19
Suppose -3*r - 4 + 19 = 0. Let w = r + 0. Let t = 474 + -466. Calculate the remainder when t is divided by w.
3
Let b(w) = 4*w**3 + 2*w**2 - 1. Let t be b(1). Suppose 0 = -t*h - x + 94, x = 2*h - 20 - 12. Calculate the remainder when 16/(-72) + 1318/h is divided by 25.
23
What is the remainder when 1*(72 + -4 - 2 - -2) is divided by 26?
16
Let w(k) = -52*k - 107. Calculate the remainder when 244 is divided by w(-3).
48
Let a(u) = 3*u + 6*u + 19 - 5*u. Calculate the remainder when a(11) is divided by 13.
11
Suppose -2*x + 75 = 3*l - 196, 5*x = -3*l + 277. Suppose 0 = 5*g - 5*i - 140, -5*g - 2*i + l + 51 = 0. Calculate the remainder when 82 is divided by g.
26
Let f(d) = -24*d - 1. Let s = 1 + -2. Let m(n) = -443*n + 39959. Calculate the remainder when m(90) is divided by f(s).
20
Let l(k) be the first derivative of k**3/3 + 3*k**2/2 - 3*k - 7. Let a be l(-3). Let x = 8 + a. Calculate the remainder when 17 is divided by x.
2
Calculate the remainder when 49 is divided by -12 + 10 - -1 - (-14)/1.
10
Let b be 6/((-2)/(134/(-3))). Let j = -108 + b. What is the remainder when 49 is divided by j?
23
Let p be ((-57)/(-9) - 1)*6. Let r = 61 - p. Let u = -44 - -129. Calculate the remainder when u is divided by r.
27
What is the remainder when (1/((-2)/4))/(3/(-108)) is divided by 11?
6
Let l = -7 - -33. Suppose -5*p = 0, -4*p + 2 = m - 9. What is the remainder when l is divided by m?
4
Suppose a = -3, -3*k + 4*a - 109 = -256. What is the remainder when 307 is divided by k?
37
Suppose 0 = -0*u + u - 7. Suppose 3*k - 48 = u*k. Calculate the remainder when 59 is divided by (5/(-2))/(2/k).
14
Let p = 162 - 111. Suppose -6*q + p = 3. What is the remainder when 9 is divided by q?
1
Let n(w) = 6*w - 1. Let v be n(1). Let s be 24/(-10)*25/v. What is the remainder when (180/s)/((-1)/3) is divided by 16?
13
Suppose 20 = 11*d - 7*d. Suppose -d*a + 7 = -18. What is the remainder when (-3)/(-5)*(47 + -12) is divided by a?
1
Suppose -4*p = -4, 11*g - 3*p = 12*g - 112. What is the remainder when g is divided by 45?
19
Let f(c) = -27*c - 98. Let w = -48 - -105. Calculate the remainder when w is divided by f(-4).
7
Suppose 3*y - 38 = 5*i, -3*y = -2*y - 2*i - 13. Let z = 369 - 223. Suppose 8*d - z = 14. Calculate the remainder when d is divided by y.
9
What is the remainder when 3/((0 - 6/(-165))/(26/39)) is divided by (1 - 1) + 3 + 12?
10
Suppose 5*q - 966 = 4*g, 579 = -12*q + 15*q - 3*g. Calculate the remainder when q is divided by 49.
47
Suppose 5*q + 85 = f, f + 5*q = 172 - 127. Calculate the remainder when f is divided by 48.
17
Suppose -6 = -3*g, 8*c - 4*c - 8 = 4*g. Suppose -2*i = -2*p + 4, 5*i = -2*p - 1 + 19. What is the remainder when c is divided by i?
0
Let t be (3/6)/(1/(-2)). What is the remainder when (-8 + 4 - -5)/(t/(-24)) is divided by (-1)/3 + 86/6?
10
Suppose z + 184 = 4*v, 2*v - 118 + 40 = -3*z. What is the remainder when 222 is divided by v?
42
Suppose 28*p + 164 = 32*p. Calculate the remainder when 157 is divided by p.
34
Let z(v) = 32*v + 3. Let r be z(6). What is the remainder when 167 is divided by (r/(-12) - -2)/(3/(-12))?
53
Suppose r - 3*h = 323, 4*r + 4*h = 523 + 769. Calculate the remainder when r is divided by 36.
35
Let k(o) = -o**3 + 9*o**2 + 11*o - 3. Suppose -3*a + 59 = 5*y, 3*y + 0 = 5*a + 15. Calculate the remainder when y is divided by k(10).
3
Suppose 4*c = 28 + 20. Let g(r) = 4*r - c*r + 9*r. Calculate the remainder when 24 is divided by g(9).
6
Let y be 6/4*(-20)/(-3). Calculate the remainder when -12*((-65)/y + 2) is divided by 14.
12
Let t = 547 + -483. Calculate the remainder when 68 is divided by t.
4
Suppose 120 = -78*d + 4176. What is the remainder when 204 is divided by d?
48
Suppose 2*b - 5*j = -b - 229, 0 = 4*j - 8. Let k = b - -94. Calculate the remainder when k is divided by 6.
3
Suppose -2*p + 32 + 12 = 0. Let r = 274 - 243. Let m = r - p. What is the remainder when 34 is divided by m?
7
Let s(r) = 184*r - 2. Let j be s(-1). Let u = -62 - j. What is the remainder when u is divided by 25?
24
Let j(w) = -w - 21. Let q(d) = 4*d + 83. Let f(u) = -9*j(u) - 2*q(u). Let h be f(-12). Let t = 23 - h. What is the remainder when t is divided by 7?
5
Let i(a) = 11*a - 6*a + 5*a + 4. Calculate the remainder when i(4) is divided by 24.
20
Let c be (25/10)/((-10)/(-8)). Suppose -2*t + 24 = c*t. Suppose -n + t = -j - 0*j, 0 = 2*n + j - 9. Calculate the remainder when 19 is divided by n.
4
Suppose 4*b + 3*k = 82, 0 = -3*b + 5*k - 10*k + 56. What is the remainder when 85 is divided by b?
19
Let v be (-26)/4 + 21/14. Let x be (v/(-1))/((-85)/(-34)). Suppose -1 - 2 = 3*h, -14 = -r + x*h. Calculate the remainder when r is divided by 4.
0
Suppose -3*z = -3*b + 4*b - 7, -2*b - 4*z = -10. Suppose 0 = c - 7*m + 3*m + b, 3*c = -m + 49. What is the remainder when c is divided by (-2)/(-1) + 6 + 0?
7
Let c = 2 + -1. Suppose -b + 127 = 4*t, 0 = b + c. What is the remainder when t is divided by 3 - 42/(-3)*1?
15
Let f(b) = -b**3 - b**2 - b + 6. Suppose -4*m = m + 2*g - 6, 0 = 4*m + 3*g - 9. What is the remainder when 9 is divided by f(m)?
3
Let t be (-20)/(-90) + 142*22/36. Calculate the remainder when -1*(-5 - -2)*t/9 is divided by 8.
5
Let a = 671 + -953. Let r = -200 - a. What is the remainder when r is divided by 21?
19
Suppose 5*i - 22*c = -26*c + 122, -5*i = -3*c - 136. What is the remainder when 672 is divided by i?
22
Let v(m) = -6*m + 5. Let s be v(-5). Suppose 4*o = -s - 13. Let j = 20 + o. Calculate the remainder when 29 is divided by j.
5
Let q(v) = 13*v - 281. What is the remainder when q(22) is divided by 3?
2
Suppose 0 = -0*l - 10*l + 50. What is the remainder when 6 is divided by l?
1
Suppose 2*k = -8, 0 = 4*t + 4*k + 117 - 905. Calculate the remainder when t is divided by 51.
48
Suppose 5*a - 356 = -x, 281 = 4*a - x - 2*x. Let v = -59 + a. What is the remainder when 22 is divided by v?
10
Calculate the remainder when 186 is divided by 19/(-2)*(-4)/6*3.
15
Let a = -16 + 19. Suppose -88 = -5*f + a*c, -4*f = c - 82 - 2. What is the remainder when 58 is divided by f?
18
Let g(j) = j**2 - 2*j - 1. Let o be (-3 - (1 - 5))*0. Suppose -u = -4 - o. Calculate the remainder when g(4) is divided by u.
3
Let w(m) be the second derivative of m**4/12 + m**3 + 29*m**2/2 + 23*m. What is the remainder when 178 is divided by w(-8)?
43
Suppose -10*o + 9*o = 0. Suppose -3*q + q + 27 = -3*z, o = -5*z - 15. Calculate the remainder when -60*(q/(-2) + 3) is divided by 31.
28
Suppose 6*y + 30 = 330. Suppose -3*o = -o - y. What is the remainder when 98 is divided by o?
23
Let g = -285 + 750. What is the remainder when g is divided by 26?
23
Let m(x) = -45*x - 5. Let o be m(9). Let p be 2/7 + o/(-35). Let q = 10 + p. Calculate the remainder when q is divided by 6.
4
Let x(m) = -9*m - 3. Suppose 2*s + 6 = -s. What is the remainder when x(-3) is divided by (s/1)/((-12)/54)?
6
Suppose -5 = -5*n, 0 = -m - n + 2*n + 21. What is the remainder when (((-9)/3 + 1)*-43)/2 is divided by m?
21
Suppose -10*l + 12*l + 3*g = 146, 5*g - 146 = -2*l. Calculate the remainder when l is divided by 12.
1
Let k be (-2)/8 - (-46)/(-8). Let q = -18 - k. What is the remainder when (-2)/q - 917/(-42) is divided by 8?
6
Let d = 9 - 6. Let k be (-3 - -3) + d - 1. Suppose -m + o + 2*o = -24, k*m - 2*o = 40. What is the remainder when 33 is divided by m?
15
Let r(g) = g**2 - 2*g. Let f = -8 - -3. Let d = 3 + f. What is the remainder when r(d) is divided by 3?
2
Let v = -26 - -45. Let f = 142 + -139. Let s = v - f. Calculate the remainder when 46 is divided by s.
14
What is the remainder when 2/10 + (-4 - (-1408)/10) is divided by 28?
25
Suppose 395 = -6*s + 437. Let b(y) = 14*y**2 - 1. What is the remainder when b(-2) is divided by | {
"pile_set_name": "DM Mathematics"
} |
37*t + 22*t + 38 + 2*t + 0 + 0 + (t - t + 2*t)*(0 - 2 + 0).
-3*t + 38
Expand (-1893*h**2 + 1818*h**3 - 185*h**3 + 1893*h**2 + 504*h**3)*(-3*h - 3 + 3)*(2*h - h + 2*h).
-19233*h**5
Expand (-1 + q + 1)*(-4*q - q + 3*q) + (-12*q - 5*q + 2*q)*(-7*q + 11*q + 29*q).
-497*q**2
Expand (1236*u - 20852 + 20852)*(-4 + 0 + 3) + (-4 + 4 + 1)*(-2 - 2*u + 2).
-1238*u
Expand -918116*q + 9 + 918088*q + 8 - 2*q - 4 + 4 + (3*q - 3*q - 2*q)*(1 - 2 + 2).
-32*q + 17
Expand -13*o**5 - 148*o**5 - 25*o**5 + (-1 - 2 + 1)*(-2*o + 2*o - 19*o**5).
-148*o**5
Expand (-11 - 1 + 2)*(18*y**2 + 4*y**5 - 18*y**2) + 12 - 12 + 2*y**5.
-38*y**5
Expand (-5*g + 3*g + 4*g)*(2 - 2 + 2*g + g + 1 - 1 + (0 + 2*g + 0)*(-1 + 2 + 0) + g - 2*g + 2*g - 3*g + 4*g + 3*g)*(-8 - 10*g**3 + 13*g**3 + 0*g**3).
60*g**5 - 160*g**2
Expand -h**3 + h**3 - h**4 + (h**3 + 3*h**3 - 2*h**3)*(h - 28*h - 4*h) - 53 + 38*h**4 + 53 + 4*h**4 - 2*h**4 - h**4.
-24*h**4
Expand (-1485 - 1970 + 4352)*(-1 + m**2 + 1 + (-1 + 0 + 0)*(3*m**2 + 2*m**2 - m**2)).
-2691*m**2
Expand (-2*h - 4*h + 5*h)*(-2 - 5 + 3)*(143*h**4 + 34*h**4 + 0*h**4).
708*h**5
Expand (7 - 34 - 27)*(3*o + 348 - 435 - 2*o)*(-1 + 3 + 1).
-162*o + 14094
Expand (-1 - 3 + 2)*(-3 + 12 + 18)*(3*m - 2*m + 2*m) + (-m + 3*m - 3*m)*(1 + 2 - 5) + 2*m + 0 + 0.
-158*m
Expand (3 + 0 - 2)*(-s**3 - 2*s + 2*s) + (-15*s**2 + 33*s**2 - s**2)*(2*s - 3*s - s) + 3*s**3 + 0*s**3 - 2*s**3 + (-1 + 1 + 3*s)*(-1 + 1 - s**2).
-37*s**3
Expand ((-3 - 3 + 4)*(-2 + 1 + 2) - 6 - 18 + 100)*(-1 + 0 - 10)*(1 - 4 + 2)*(-5*l + 5*l - 3*l).
-2442*l
Expand (-11*x - 19*x - 17*x)*(205*x**2 + 172 - 172) + x**2 - x**2 - x**3.
-9636*x**3
Expand -v**4 - 3*v**4 + 5*v**4 + (-v - 2*v + 2*v)*(748*v**3 + 646*v**3 - 3556*v**3).
2163*v**4
Expand (6*m + 7*m - 3*m)*(5 - 14 + 5)*(4 - 1 - 1).
-80*m
Expand (-2 + 4 + 1)*(-3*j + 5*j - j) + 0*j - 3*j + 2*j + 3585*j - 294*j + 2591*j.
5884*j
Expand -2*i**5 + 3*i**5 + i**5 + (2*i**2 + 49 + 87 + 69)*(0 + 6*i**3 + 0) - 2*i**3 + 2*i**5 + 2*i**3 + (-i**4 + 2*i**4 + 0*i**4)*(2*i - i + 0*i).
17*i**5 + 1230*i**3
Expand (51 + 82 + l - 240)*(-l**4 - 2*l**4 + l**4).
-2*l**5 + 214*l**4
Expand (-815 - 288 + 1889)*(5*i**2 - i**2 - 2*i**2) - i**2 - 3*i**2 + 5*i**2 + (-3*i + 0*i + 2*i)*(0*i + i - 3*i).
1575*i**2
Expand (b**2 + b**2 + 0*b**2)*(287*b**2 + 1304093*b - 1304093*b + (4*b + 2*b + 0*b)*(-b - 3*b + 6*b)).
598*b**4
Expand (-1 + 1 + f)*(1 - 1 - 2)*(-3*f + 17*f - 7*f)*(-282*f**2 + 1 + 1 + 283*f**2).
-14*f**4 - 28*f**2
Expand ((-10547 + 10547 - 249*j)*(-2*j + j + 3*j) + j - j**2 - j)*(3*j - j - 4*j)*(3*j - 3*j - 3*j**2).
-2994*j**5
Expand (2*f + 1 - 1)*(-f**3 - 1 + 1) + (-2*f**3 - 24*f**3 - 28*f**3)*(2*f + 0 + 0).
-110*f**4
Expand (-5*k**4 + 3*k**4 + 5*k**4)*(-4 + k - 3 + 21 - 13*k + 10 - 10 + (3*k + k - 2*k)*(2 - 3 + 0) - k - 2*k + k).
-48*k**5 + 42*k**4
Expand (2*r - 2 + 2)*(-3*r + 3*r + r) + (2*r - 2*r - 2*r)*(10*r + 249*r + 443*r).
-1402*r**2
Expand (-1 + 1 + 1)*(-1 - 3306*x - 8327*x + 1905*x + 3).
-9728*x + 2
Expand (-17571 + 17571 + 396*u**2)*(3 - 3 + 2)*(-8 - 5*u + 8).
-3960*u**3
Expand -k**5 + 0 + 0 - 2*k**3 - k**5 + 2*k**3 - 3*k**5 + 6*k**5 - k**5 + (3*k**3 - 4*k**3 + 3*k**3)*(-k + 2*k**2 + k) + 15*k**5 + 9*k**5 + 2*k**5.
30*k**5
Expand (-137*d - 120*d + 57*d - 73*d)*(4 - 5 + 6).
-1365*d
Expand 2*z + 1 - 1 + (31 - 14*z - 31)*((-2 + 6 - 3)*(0 - 1 + 0) + 3 - 7 - 2).
100*z
Expand (-167563 + 167563 + 1113*j)*(4 + j - 2 + 3).
1113*j**2 + 5565*j
Expand (60 + 2983*s + 55 - 171 + 56)*(-s**4 + 5*s**4 - s**4).
8949*s**5
Expand ((-6*s + 3*s + 2*s)*(18 + 17 + 21) - 19 + 19 + s)*(-2*s**2 + 2*s**2 - 2*s**4).
110*s**5
Expand (-279 + 158 + 124*y + 125)*(0 - 2 + 0).
-248*y - 8
Expand (-a**2 + 20*a - 77*a**2 - 11*a)*(3*a - 3*a - a**2 - 4*a**2 + 0 + 0 + a - a - a**2 + (0 + 0 - 2*a)*(0*a + 3*a - 2*a)).
624*a**4 - 72*a**3
Expand (-2104 - 10099 - 14668 - 517)*((3 + 1 - 5)*(4*q - q - 5*q) - 2*q - 4*q + 5*q).
-27388*q
Expand (-1261 + 1381 + 1305 + 2706)*((-3*i**3 - 3*i**3 + 4*i**3)*(-4*i**2 + 0*i**2 + 3*i**2) - i**2 + i**5 + i**2 - 2 + 2 - 2*i**5).
4131*i**5
Expand (-4*v + 3*v + 0*v)*(-3*v + 3*v + v) + (2*v + 7 - 3 + 9)*(-239*v - 220*v - 161*v).
-1241*v**2 - 8060*v
Expand -25 + 25 + 3*q**4 + (2*q - 11*q - 24*q)*(-4*q + 4*q + 4*q**2)*(q - 5*q + 0*q).
531*q**4
Expand (4 - 2 - 4)*(641*d**3 + 1664*d**3 - 555*d**3).
-3500*d**3
Expand (6062*n - 4294*n - 6350*n)*(3*n - 3*n - n)*(-2 + 1 + 0)*(3 - 2 - 2).
4582*n**2
Expand (-271 + 376*v + 271)*(-4 - 9 + 3).
-3760*v
Expand (-200416 + 101123 + 103699)*(5*u - 2*u**5 - 5*u).
-8812*u**5
Expand -4*f**2 - 3*f**2 + 5*f**2 + (-23 + 23 + 24*f)*(2*f + 8*f + 3*f).
310*f**2
Expand (-37*m**5 + 4*m**5 - 12*m**5)*(38 - 13 - 76).
2295*m**5
Expand -3*j**2 + 1 - 1 - 762*j + 762*j + 20 - 2*j**2 + (-4*j - 2*j + 3*j)*(-25*j - 18*j + 60*j).
-56*j**2 + 20
Expand (-145422 - 916*h + 145422 + 2852*h)*(-5 + 2 - 3)*(2 + 2 - 2)*(5*h - 5*h - h).
23232*h**2
Expand -h**2 + h - 2*h + 86 - 85 + h**2 - 2*h**2 - h**2 + (-5*h + 3 - 3)*(-5*h + 2*h - 2*h).
22*h**2 - h + 1
Expand (4*q**2 - 6*q**2 + 4*q**2)*(-2*q + 221 + q**2 - 365 - 91).
2*q**4 - 4*q**3 - 470*q**2
Expand -4*d**3 + 2*d**3 + 20*d**3 + (2 + 3 - 7)*(5*d**3 + 0*d**3 - 4*d**3) + 4*d**3 + 3*d**3 - 3*d**3 + (4 - 4 + d**2)*(0*d + 2*d - 3*d).
19*d**3
Expand 7*w**2 + 4*w**2 - 9*w**2 - 7 + 3*w**2 + w**2 + 3*w**2 + (-2*w + 3*w + 0*w)*(-2 + 5*w + 2).
14*w**2 - 7
Expand (-333 + 333 - 197*x + (-3*x + 2*x + 0*x)*(-3 + 1 + 1))*(3 - 3 - 2).
392*x
Expand (-4 + 0 + 2)*(r - 2*r + 3*r) + 10*r + 4*r - 19*r + 37 + 149*r - 37.
140*r
Expand (-2 - 2 + 6)*(2 - 1 - 2)*(6*q**4 + 8*q**4 - 4*q**4) + (-2*q**2 + q**2 + 0*q**2)*(0 + q + 0)*(-3*q + 0*q + 4*q) + 2*q**4 - q**4 + q**4.
-19*q**4
Expand (-y**5 + 0*y**2 + 0*y**2)*(3564 + 5863 - 11707 + 8286).
-6006*y**5
Expand -134*h**2 + 0*h**2 - 161*h**2 + (h + h + 4*h)*(h - 7*h + 0*h).
-331*h**2
Expand (2 - 2 + 6*t**2)*(1835003*t**2 - 188 - 1835004*t**2 - 38).
-6*t**4 - 1356*t**2
Expand (-1307 + 379 - 6316)*(0*h + 2*h**4 + 0*h).
-14488*h**4
Expand (4 + 2 - 3)*(1458*q - 49*q + 89*q + 1216*q).
8142*q
Expand (-9*u - u + 2*u)*(7 + 11 - 5 + (1 - 4 + 2)*(-3 + 1 - 2)) + 4*u - 11*u - 2*u.
-145*u
Expand (-2110 + 2110 + 217*b)*(-1 + 29 - 1)*(0*b**2 + 2*b**2 + 0*b**2).
11718*b**3
Expand -45*t - 320*t + 72*t - 5*t + 3*t + 5*t + (-3*t - 2*t + 4*t)*(4 - 1 - 1) + (t + 0*t - 2*t)*(0 - 6 + 10).
-296*t
Expand (4*a**2 + 12*a**2 - 23*a**2)*(-14 - 17 + 31 - 160*a).
1120*a**3
Expand (-2*f**4 + 169*f**2 - 167*f**2 + 5*f**4)*(2 + 10 - 4)*(-6*f - 2*f + 2*f).
-144*f**5 - 96*f**3
Expand (0*v**2 - 2*v**2 + 4*v**2)*(-3*v**2 - 4*v**2 + 3*v**2) + (-1 + 1 - 2*v**3)*(5*v + 2*v - 5*v) + 10 - 10 + 6*v**4.
-6*v**4
Expand (4*f**4 - 4*f**4 - f**5)*(-1 - 1 + 1) + 5*f**5 + 0*f**5 - 2*f**5 + (6 - 6 - 8*f)*(-2*f**4 + 3*f**4 + 2*f**4) + (-2*f**5 - 2*f**5 + f**5)*(-3 + 1 + 1).
-17*f**5
Expand (-2*s + 0*s + 0*s)*(-2 - 2 + 3) - 3391*s + 10165*s - 3391*s + 1652 - 3382*s.
3*s + 1652
Expand -11*f**2 - 6*f**2 - 45*f**2 + 2*f**2 - 3*f**2 + 4*f**2 + 5*f**2 - 2*f + 2*f + f**2 + f**2 - f**2 + (-f + f + 2*f**2)*(-1 + 3 - 1).
-51*f**2
Expand (0*u + 0*u - u)*(-2*u**4 - u**4 + 5*u**4) + (-3*u - 5*u**3 + 1255510*u**2 - 14 - 1255510*u**2)*(-u**2 + 2*u**2 + 0*u**2).
-7*u**5 - 3*u**3 - 14*u**2
Expand 0*s**3 + s**4 - s**3 - 3*s**3 + (-4 + 2 - 6)*(-5*s**4 - 14*s**3 + 14*s**3) + s - 2*s**4 - s.
39*s**4 - 4*s**3
Expand (44910*m - 6871*m - 3435 + 17666*m + 3435)*(-m + 5*m - 2*m).
111410*m**2
Expand (4*x**2 - 3*x**2 + x**2)*(-99*x**3 - 82*x + 82*x + 81*x - 9*x**3 - 81*x + (-4*x**2 + 0*x**2 + 5*x**2)*(-4 + 4 - x)).
-218*x**5
Expand (1157*m + 810*m + 2775*m - 226*m)*(-6*m**2 + 0*m**2 + 4*m**2).
-9032*m**3
Expand 4*i - 5*i + 0*i + (52 + 152 + 110)*(-i - 5*i + 4*i).
-629*i
Expand (3 - 3 - 1 + (4 - 2 - 4)*(0 - 2 + 0) - 11 - 9 - 4 - 3 - 3 + 4)*(-56*b + 126 - 126).
1288*b
Expand (-5 + 3 + 1)*((3*l - 2*l - 3*l)*(1 - 1 - l**2) + 0*l**3 + 3*l**3 - 4*l**3 + (-l + 0*l + 0*l)*(-13*l + 2*l + l)*(-15*l + 53 - 53)*(-2 + 3 - 2)).
-151*l**3
Expand (14*x**4 - 16*x**4 + 112*x**4)*(-1 + 5 + 7 + 5*x).
550*x**5 + 1210*x**4
Expand (2*g - 2*g**3 - 2*g)*(-136*g - 12 - 111 + 119).
272*g**4 + 8*g**3
Expand (-4*x**2 - 4 + 4)*(126 - 154 - 111 + (3 - 1 - 1)*(-1 + 0 + 2)).
552*x**2
Expand ((2*r - 3*r - r)*(r + 3*r + 5*r) - 27*r**2 + 22*r**2 + 8*r**2)*(-10 + 10 - 2*r**2).
30*r**4
Expand (378*p**3 + 15*p**3 + | {
"pile_set_name": "DM Mathematics"
} |
+ 4*c + 2. Calculate p*d(x) + u*b(x).
2*x**2 + x - 1
Suppose -2*j + 0*j = -10. Suppose -5*q + q = -5*g + 21, 0 = -5*g + j*q + 25. Let s(m) = -1. Let o(t) = -t - 4. Calculate g*o(d) - 6*s(d).
-d + 2
Suppose 2*l + s = 9, 3*l + 0*l = 4*s - 3. Let j(q) = -11*q**3 + 2*q**2 + 7*q - 5. Let n(u) = 2*u**3 - 3*u + 6*u + u**2 - 7*u**3 - 2. What is l*j(v) - 7*n(v)?
2*v**3 - v**2 - 1
Let y(f) = -f + 13. Let k = -8 + 12. Suppose m + r - k = 0, 4*m - 4*r = -r + 2. Let v(b) = -3. What is m*y(o) + 9*v(o)?
-2*o - 1
Let q(j) = j**2 - 1 + j + 2 + 0*j**2. Let x(t) be the first derivative of -4*t**3/3 - t**2 - 3*t + 4. Calculate -6*q(h) - 2*x(h).
2*h**2 - 2*h
Let j(k) = -1 - k - 6*k + k. Let w(i) be the third derivative of -i**5/60 + i**4/3 + 2*i**3/3 - 3*i**2. Let q be w(8). Let o(f) = -f. Give q*o(r) - j(r).
2*r + 1
Let j(g) = -2*g - 2 + 0 + 3*g + 0*g. Suppose -3*u - 1 = -13. Suppose 42 = u*h + 130. Let k(x) = 6*x - 11. Calculate h*j(y) + 4*k(y).
2*y
Let q(i) = -7*i. Suppose 0 = -x - 4*x - 25. Let a = x - -3. Let h(u) = -3*u. Give a*q(r) + 5*h(r).
-r
Let b(g) = -6*g - 57. Let z(t) = 5*t + 56. Calculate -4*b(r) - 5*z(r).
-r - 52
Let j(r) be the first derivative of -3*r**4/4 - r**3/3 + 2*r**2 + 4*r + 1. Let v(s) = -3*s**3 - s**2 + 3*s + 3. Determine 3*j(p) - 4*v(p).
3*p**3 + p**2
Let z(q) = 9*q + 1. Let r(k) = -k. Suppose b + 2 + 12 = 0. Give b*r(h) - 2*z(h).
-4*h - 2
Let x(z) = 4 - 5*z - 4. Let m(q) be the second derivative of 3*q**3/2 - 6*q + 3. Give 3*m(w) + 5*x(w).
2*w
Let h = 6 - 7. Let w = 8 - 6. Let s(z) = 1. Let x(c) = -c + 1. Determine h*x(k) + w*s(k).
k + 1
Let b(p) = -2*p**2 - p. Let w be b(-1). Let a(k) = -2*k - 1. Let l(q) be the third derivative of 1/24*q**4 + 0*q + 0 + 0*q**3 - 2*q**2. What is w*a(t) - 4*l(t)?
-2*t + 1
Let q(a) = -4*a + 4. Let d be 1/5 + (-78)/15. Let j(f) = 5*f - 5. Calculate d*j(k) - 6*q(k).
-k + 1
Let a be (-1)/(-4) - 54/(-8). Suppose c = -3*c + 20. Let z(i) = 9 + i**2 + 4*i + 8*i - c*i - 3*i**2. Let v(g) = -3*g**2 + 10*g + 13. Give a*z(n) - 5*v(n).
n**2 - n - 2
Let v(s) = 5*s**2 + 9*s + 4. Let q(a) be the second derivative of 1/6*a**4 + 3*a + 2/3*a**3 + a**2 + 0. Calculate 9*q(k) - 4*v(k).
-2*k**2 + 2
Let p(i) = 3*i**3 - 6*i**2 + 1. Let s = 3 - 8. Let u(q) = 4*q**3 - 7*q**2 + 1. Let g be 18/24 - 9/12. Suppose g = 5*l - 3*l - 12. Give l*p(n) + s*u(n).
-2*n**3 - n**2 + 1
Let b(f) = -4*f**3 - 17*f**2. Let j(u) = -17*u**3 - 67*u**2. What is 9*b(z) - 2*j(z)?
-2*z**3 - 19*z**2
Let s(l) = -l**2 - 3*l - 2. Let d(g) = 4*g**2 + 8*g + 6. Give -3*d(b) - 8*s(b).
-4*b**2 - 2
Let i(q) = 21*q**3 - 3*q - 1. Let o(d) = -d**3 - 1. Determine i(j) - o(j).
22*j**3 - 3*j
Let t(q) = 3*q**3 + 4*q**2 + 4*q + 4. Let k = 11 + -44. Let h(m) = 24*m**3 + 33*m**2 + 33*m + 33. Give k*t(p) + 4*h(p).
-3*p**3
Suppose 0 = 2*g + g + 15. Let t = g + 10. Let o(k) = -k. Let y(n) = 8 - 3 - 3 + 7*n + 0*n. What is t*o(u) + y(u)?
2*u + 2
Let n be ((-2)/3)/((-32)/144). Let q = -9 + 4. Let i(u) = -4*u**2. Let f(g) = -2*g**2. Calculate n*i(c) + q*f(c).
-2*c**2
Let j(k) = 134*k + 3*k**2 - 7 + 127*k - 268*k. Let f(z) be the third derivative of -z**5/60 + z**4/12 + z**3/3 + z**2. Calculate -14*f(p) - 4*j(p).
2*p**2
Let k(s) = 2*s + 4. Let d = 8 - 5. Let t(f) = f + 3. Suppose 3*j = -0*j + 135. Suppose j = -5*z - 5*g, 0 = 3*z - 0*g + g + 17. Calculate d*k(w) + z*t(w).
2*w
Let r(x) = -18*x**2 - 4. Let z(n) = -91*n**2 - 21. Determine -21*r(l) + 4*z(l).
14*l**2
Let w(h) = -5*h**2 - 3*h + 3. Let o(f) = -11*f - f - 2*f + 14 - 24*f**2 + 0*f. Give -3*o(v) + 14*w(v).
2*v**2
Suppose 3 = -2*n - 7. Let a(p) = p**3 + 4*p**2 + 2*p + 3. Let v(w) = -7*w**2 + 18 - 4*w**3 - 3*w + 2*w**3 - 23. Determine n*a(r) - 3*v(r).
r**3 + r**2 - r
Let z be (-8)/3 + (-5)/15. Let x(u) = 2*u**2 - 3*u - 3. Let k(v) = -v**2 + v + 1. Calculate z*k(n) - x(n).
n**2
Let b = -1 - -7. Suppose 3*m + 0*z - 3*z + b = 0, -10 = 3*m + z. Let g(p) = 2*p + 3*p - 4*p - 4*p - 8. Let a(k) = -k - 3. Give m*g(s) + 8*a(s).
s
Let u(c) = 2*c + 4. Let k(s) = 5*s + 11. Suppose -x = -3*z + 60, -2*x = 5*z - 160 + 60. Let b be (1 - 0)/((-5)/z). Determine b*k(w) + 11*u(w).
2*w
Let a be (1 - 0)/((-2)/(-12)). Let u(y) = 40*y - 12*y - 17*y - 1 - 12*y. Let c(k) = -7*k - 4. What is a*u(p) - c(p)?
p - 2
Suppose 3 - 11 = 8*g. Let j(w) = -3*w**3 + 4*w - 2. Let s(c) = c**3 - c + 1. Calculate g*j(q) - 4*s(q).
-q**3 - 2
Let w = 21 + -27. Let k(b) = -4*b**3 + 2*b**2 - 6*b - 11. Let i(x) = 2*x**3 - x**2 + 3*x + 6. What is w*k(s) - 11*i(s)?
2*s**3 - s**2 + 3*s
Suppose -4*u + d = -3*d + 8, u + 8 = -5*d. Let v be -1*(-1 - (13 - u)). Let y(f) = -20*f**2 - 23*f + 6. Let t(j) = -7*j**2 - 8*j + 2. Calculate v*t(z) - 6*y(z).
z**2 + 2*z - 2
Suppose z + 2*z = -33. Let l(h) = -8*h**2 + 5*h - 11. Let r = 12 - 8. Let s(o) = -3*o**2 + 2*o - 4. Calculate r*l(c) + z*s(c).
c**2 - 2*c
Let m(k) = -3*k - 72 + 13*k**3 + 72. Let z(c) = -9*c**3 + 2*c. Determine -5*m(n) - 7*z(n).
-2*n**3 + n
Let v(y) = -17*y**3 + 11*y**2 + 9*y. Let k be ((-3)/6)/(3/36). Let m(w) = -9*w**3 + 6*w**2 + 5*w. Determine k*v(g) + 11*m(g).
3*g**3 + g
Let l = 12 + -7. Let w(s) = -s**3 + 5*s**2 - 1. Let b be w(l). Let y(o) = o - 4. Let t(k) = -1. What is b*y(u) + 5*t(u)?
-u - 1
Let x(g) = -5*g + 3. Let q(b) = b + 1. Let y(p) = 17*p - 1. Let j(m) = 6*q(m) - y(m). Let d = -17 - -13. Determine d*j(h) + 9*x(h).
-h - 1
Let c(a) = 3*a**2 - 2*a. Let l = -33 - -38. Let d(s) = -4*s**2 + 2*s. What is l*d(i) + 6*c(i)?
-2*i**2 - 2*i
Let o(h) = 12*h - 12. Let i(j) = -11*j + 13. Let a(p) = -3*i(p) - 2*o(p). Let w(g) = 5*g - 8. Determine 6*a(k) - 11*w(k).
-k - 2
Let d be -6 - ((-1 - 1) + 1). Let p(f) = 2*f**3 + 2*f**2 + 4*f + 2. Let a(n) = -3*n**3 - 2*n**2 - 5*n - 2. Determine d*p(v) - 4*a(v).
2*v**3 - 2*v**2 - 2
Let h(g) = -3*g - 3. Let a(c) = c + 1. Suppose 5*r = 21 - 16. What is r*h(k) + 2*a(k)?
-k - 1
Let o(u) = -6150*u**2 + 165*u - 165. Let l(h) = 75*h**2 - 2*h + 2. Calculate 165*l(x) + 2*o(x).
75*x**2
Suppose 2*w = w + 3*d - 10, w = d - 8. Let l(g) = 3*g - 4. Let h(j) = 4*j - 5. What is w*l(u) + 6*h(u)?
3*u - 2
Let b(y) = -y**3 + y**2 - y + 1. Let o(x) = x**3 - 5*x**2 + 3*x - 3. Suppose 68*l - 72*l = -4. What is l*o(v) + 3*b(v)?
-2*v**3 - 2*v**2
Suppose -133 = -3*g + 22*g. Let a(d) = -10*d + 9. Let u(i) = 50*i - 46. Let x(y) = -11*a(y) - 2*u(y). Let r(l) = -1 - 3 + 6 - 3*l. Determine g*r(m) - 2*x(m).
m
Let j(o) = 7*o**3 - 5*o. Let p(n) = -6*n**3 + 5*n. What is -4*j(q) - 5*p(q)?
2*q**3 - 5*q
Let o(j) be the first derivative of -20*j**3/3 - 7*j**2 - 3*j + 4. Let g(k) = 7*k**2 + 5*k + 1. Calculate 17*g(n) + 6*o(n).
-n**2 + n - 1
Let t(u) = u + 1. Suppose k = -0*k - 16. Let s be (-142)/8 - (-4)/k. Let m(h) = 10*h + 9. Give s*t(q) + 2*m(q).
2*q
Let w be 18/45 + (-99)/(-15). Let h(b) be the third derivative of -5*b**4/12 - 7*b**3/6 + b**2. Let y(i) = 3*i + 2. What is w*y(n) + 2*h(n)?
n
Suppose 7 = 5*z - 0*z - 2*s, 10 = -2*z + 4*s. Let h(a) = 4 + a**z + 12*a - 2 - 3*a. Let q(d) = d**3 + 1 + 0*d**3 + 5*d + 0*d**3. Determine -3*h(m) + 5*q(m).
2*m**3 - 2*m - 1
Let a(y) = -3*y**2 + 27*y. Let w(b) = -b**2. What is a(f) - 2*w(f)?
-f**2 + 27*f
Let r(m) = 15*m - m**2 - 4 - 15*m. Let l(u) = 4. Suppose -n = -2*g + 16, g + 14 = -6*n + n. Let h(q) = -1. Let b(x) = g*h(x) + l(x). Calculate 5*b(z) - 2*r(z).
2*z**2 - 2
Suppose 21 = 4*l + 5. Let r(z) = -7*z - 1. Let f(h) = -14*h - 2. Let p(m) = l*f(m) - 9*r(m). Let a(u) = -u. Calculate -5*a(g) - p(g).
-2*g - 1
Let s(w) = -2*w - 2. Let g(m) = m + 2 - 3*m - m + 5*m. Give 6*g(x) + 5*s(x).
2*x + 2
Let m(q) = -q**3 - q**2 + q - 1. Let y(l) = l**2 + 3 - 2 - 13045*l + 13044*l. Suppose -2 = -x + 2*x. What is x*y(c) - 2*m(c)?
2*c**3
Let b(k) = -7*k - 7. Suppose 5*s - 38 - 17 = 0. Let z(i) = -1 + 9 + s*i + 3. What is -8*b(c) - 5*z(c)?
c + 1
Suppose 0 = 5*t + 5*m + 55, 4 = -0*m - m. Let z(v) = 6 - 1 + 0*v**3 + 4*v + 6*v**2 - 2*v**3. Let n(u) = 3*u**3 - 11*u**2 - 7*u - 9. Determine t*z(f) - 4*n(f).
2*f**3 + 2*f**2 + 1
Let o(p) = 18*p**2 - 15*p - 15. Let s(x) = -x**3 - 3*x**2 - 4*x - 3. Let r be s(-2). Let m(f) = -f**2 + f + 1. Calculate r*o(q) + 15*m(q).
3*q**2
Let q(t) = -3 - 4*t**3 + 1 + 5 + 2. Let y(r) = -3*r**3 + 4. Let l be (3*2)/(3/(-2)). Let a be 0 + 2/2 + 4. What is a*y(f) + l*q(f)?
f**3
Let m(s) = s**2 - 3*s - 3. Let d(a) = -a - 1. Calculate 6*d(v) - 2*m(v).
-2*v**2
Let h(d) = -2*d. L | {
"pile_set_name": "DM Mathematics"
} |
-2
Rearrange -841*r - 73 + 24 + 23 + 27 to t + j*r and give t.
1
Express -2 - 2*g**3 + 9*g**4 + 19*g - 2 - 1 - 14*g + 7 - 3*g**2 as p*g**3 + a*g**2 + y + l*g**4 + x*g and give x.
5
Express (-2*i + 3*i - 7*i)*(-692 - 280 - 436) in the form w + g*i and give g.
8448
Rearrange -916*t - 2 + 3 - 2013*t - 556*t to the form b*t + y and give y.
1
Rearrange -10041*p + 3351*p + 3334*p - 16 + 3336*p to y + f*p and give y.
-16
Rearrange 1019832*f**2 + 3*f + 187*f**3 + 25*f**4 - 1019832*f**2 - 2*f to the form o*f + i*f**4 + h*f**2 + p + x*f**3 and give o.
1
Express -7698*j**2 + 7736*j**2 - 21*j**3 + j - j + 9*j**3 in the form k + x*j + u*j**3 + y*j**2 and give u.
-12
Rearrange (34 - 281 + 7)*(17*t - 119 + 119) + 3 - 2*t + t - 1 to w + l*t and give l.
-4081
Rearrange -15*p**2 + 489*p**3 + 9683369 - 9683369 + 221*p**3 to o*p + w*p**2 + s + t*p**3 and give t.
710
Express 3*a**3 - 97 - 3*a**4 - 2*a**2 + 14 + 81 - 174*a in the form d*a + n*a**4 + m*a**2 + l + t*a**3 and give t.
3
Rearrange 2*l**3 + 2 + 2183*l + 3*l**4 + 3 - 2252*l to the form m + p*l**2 + j*l + z*l**4 + b*l**3 and give z.
3
Express -1 + 19*k**3 - k - 8*k**3 + 2 - 37*k**2 + 46*k**2 - 5 as i + w*k**3 + h*k + y*k**2 and give y.
9
Express -5*i + i + 3*i + (-2*i + 2*i - 2*i)*(4 - 1 - 5) - 4 + 4 - 2*i + 1491 - 747 - 737 + 4*i in the form n*i + l and give l.
7
Rearrange (-1 + 0 + 3 - 2 - 2 + 2 + (0 + 0 + 1)*(-2 + 0 + 4) + 4 + 1 - 3 - 140 + 95 - 135)*(x + 4*x - 2*x) to k*x + c and give k.
-528
Express -a**2 + 0*a**2 + 0*a**2 + (a - 7*a + 0*a)*(-750354 + 750354 + 2069*a) as w*a**2 + k + m*a and give k.
0
Express -3*t**2 + 172*t + 174*t - 337*t - 5 as s*t**2 + w*t + j and give w.
9
Rearrange (0 + 0 - i)*(89 - 89 + 814*i)*(-4 - 1 + 4) to the form y*i**2 + c*i + h and give c.
0
Rearrange -116 - 12 - 40*k - 99 + 33*k to the form r*k + t and give t.
-227
Express (-1104256*f**4 + 1221 + 1103 + 1104255*f**4)*(-1 + 1 - 1) as r*f + s*f**2 + o + u*f**4 + n*f**3 and give u.
1
Rearrange (-4 + 4 + 2*v**2)*(-2*v - 4*v + 5*v) - 83*v**2 + 13*v**2 - 189*v**3 - 93*v**2 - 29*v**2 - 18*v**2 to the form c*v**3 + m*v**2 + q*v + n and give m.
-210
Rearrange 46*b**2 - 17*b**2 - 74 - 9*b**2 + 4*b - 14*b**2 - 5*b**2 to the form w + z*b**2 + c*b and give w.
-74
Express (-4040*s - 2528*s + 1646*s - 5865*s - 2702*s)*(-3 - s + 3) in the form o + w*s + i*s**2 and give i.
13489
Rearrange -52*p**3 + 46*p - 45*p + 2 + 516*p**3 to the form j*p**3 + w*p + u + b*p**2 and give w.
1
Rearrange -2363 + 159*a - 2367 - 2371 + 7099 to the form n + k*a and give k.
159
Express -667*f**2 - 236*f - 106*f + 669*f**2 in the form x*f + b*f**2 + w and give b.
2
Rearrange 202*s + 18*s - 33*s + (0 + 1 + 0)*(2*s - 5*s + 5*s) - 24*s + 23 - 23 - 4*s + 4*s - s to b*s + n and give b.
164
Express (3 - 5 + 11)*(-1 + 0 - 4 - d)*(-8*d - d + 3*d) as m*d + b + t*d**2 and give m.
270
Express (12905*w**3 + 3*w - 18*w - 6650*w**3 - 6820*w**3)*(3*w + w - 7*w) in the form v*w + z*w**2 + h*w**3 + o + f*w**4 and give f.
1695
Express (-409*b + 1203*b - 400*b + 12 - 401*b)*(3*b - b - b)*(83*b + 93*b - 46*b) in the form w*b + f + o*b**3 + q*b**2 and give q.
1560
Express 91*l + 176*l + 112*l - 119*l + (4 - 3 + 1)*(-186 + 186 + 10*l) in the form q + o*l and give o.
280
Rearrange (-2190 + 2190 - 724*b - 133*b)*(-1317 - 23*b + 1317) to i*b**2 + g + w*b and give i.
19711
Express 11444*b - 9639*b + 14539*b in the form q + z*b and give q.
0
Express (-3923 - 4615 - 4194 + 2456)*(2*h - 2*h + 5*h) in the form m + k*h and give k.
-51380
Rearrange 0*a**3 - a**4 + 0*a**3 + (1362 - 3531*a - 2859 + 1498)*(4*a**3 - 2*a**3 + 3*a**3) to the form n + j*a**3 + f*a**2 + c*a + i*a**4 and give j.
5
Express (-1014 + 1014 - 95*k)*(4*k + 3*k**2 - 4*k)*((-2*k + 2*k + 2*k)*(-6 + 9 + 1) + 4*k + 0*k - 6*k) as f + c*k + u*k**3 + p*k**4 + s*k**2 and give p.
-1710
Rearrange ((3 + 4 - 6)*(3 - 3 - c) - 494 + 494 - 20*c)*(-9*c + 0*c + 8*c) to the form d*c + w + l*c**2 and give w.
0
Express 3 + 2*n - 3 + (1 + 1 - 1)*(-106 + 6430*n - 20552*n + 101) as c*n + b and give c.
-14120
Rearrange -12*t**3 + 28*t**3 - t**2 - t**2 - 8*t**3 + 2*t**4 + 38*t - 13*t**3 to the form z*t**3 + q*t + w*t**2 + m*t**4 + a and give w.
-2
Rearrange -9862*b + 4019*b + 3122*b + 4204*b to y + u*b and give u.
1483
Express -m - m**2 + 16088 - 7414 - 7767 - 2*m**2 as y + i*m + t*m**2 and give i.
-1
Express -91*z**3 - 34*z**2 + 14*z**3 + 43*z**3 + 2 + 43*z**3 as k*z**2 + c*z + u*z**3 + y and give c.
0
Rearrange 39*t - 20*t + 1 - 2*t**2 - 20*t + (-2 - 2 + 0)*(120*t**2 + 213*t**2 - 239*t**2) to the form k + g*t**2 + h*t and give g.
-378
Rearrange 2*j - 18*j**4 + 1141*j**3 - 1139*j**3 - 581*j**4 to l*j**2 + k*j + q + o*j**4 + d*j**3 and give o.
-599
Express 7522*y**3 - 3*y**2 + 14 - 7520*y**3 - 4*y + 2*y**4 - 2 as a*y**3 + h*y**4 + z*y + i + m*y**2 and give m.
-3
Rearrange (-1 - 1 + 2240*y**3 - 2294*y**3)*(1 + 0 - 2 + (-2 + 4 + 0)*(2 - 2 + 1)) - 97 - 43*y**3 + 97 to the form z*y**2 + q*y + a + c*y**3 and give a.
-2
Express -24 + 16*f + 24 + (4 + 3 - 5)*(-3*f + 0*f + 2*f) - 2*f + 4 - 4 - 16*f + 8*f - 5*f in the form c*f + b and give c.
-1
Express (-20 + 12 - 1)*((-3*n + 0*n + n)*(-161*n - 14*n + 16*n) + 2*n**2 + 0*n**2 - n**2 - 1)*(0 + 3 - 5) in the form c*n**2 + p + t*n and give t.
0
Rearrange (-3 - 4*s**2 + 6*s**2 + 2)*(-77623 + 77623 + 365*s + (-1 + 1 - 2)*(4*s + 2*s - 4*s) - 1 + 1 - 2*s) to q*s**3 + c*s**2 + o*s + a and give q.
718
Rearrange -75*q**3 + 8*q - 56*q**3 + 3 + 158*q**3 + 1 to the form n + t*q**3 + k*q + u*q**2 and give n.
4
Rearrange (4*f**2 - 72 + 72)*(-2*f**2 + 2*f**2 + 5*f**2 + (-4*f - f + 2*f)*(10 - 10 + 7*f)) to the form o*f**2 + b + h*f**3 + y*f**4 + x*f and give y.
-64
Express -49 - 2014*i**2 - 1193*i**2 + 509*i**2 + 49 as a + k*i**2 + m*i and give m.
0
Express (-1 + 2 + 1)*(11 - 11 + 15*t)*(-629 - 405 + 213 - 1348 - 563) in the form c + a*t and give a.
-81960
Rearrange (51 + 71 - 42)*(-4002*s**3 + 8392*s**3 + 3*s**4 - 4222*s**3) to the form w*s**4 + a*s**2 + q*s**3 + u*s + k and give a.
0
Rearrange -g**4 - 8 + 9 + 3*g**3 - g**2 + 1 + 21 to the form j*g**4 + o*g**2 + z + w*g**3 + r*g and give j.
-1
Rearrange -696*d - 688*d + 2078*d - 9396*d**2 - 694*d to t*d + g + i*d**2 and give i.
-9396
Express -8 + 3*a - 21329*a**3 + 10662*a**3 + 10665*a**3 in the form m*a**2 + i*a**3 + r + g*a and give i.
-2
Express (-23 - 44 - 12)*(-14 - 10 - 8)*(-3*v + 3*v - 2*v**3) in the form l*v**2 + w + k*v**3 + q*v and give k.
-5056
Express 21*n**2 - 52*n**2 + 32*n**3 + 21*n**2 + 3*n + 15*n**2 in the form r*n**2 + d*n + g*n**3 + x and give r.
5
Rearrange 2*q - 4*q + 0*q + (4 - 2*q - 4 + (7 - 7 - 3*q)*(0 + 0 - 2))*(174 + 121 - 34) to the form z + l*q and give z.
0
Rearrange -46214*k**2 - 2*k + 15398*k**2 + 15405*k**2 + 928*k**3 - 179*k**3 + 15407*k**2 to z*k**3 + j + c*k**2 + x*k and give x.
-2
Rearrange 947*u**3 - 10 - 16 + u**2 - 1 + 88*u - 948*u**3 + 3 to the form z*u + s*u**3 + r*u**2 + p and give r.
1
Express 244*o - 711*o + 234*o - 417 - 1321 + 234*o as b*o + a and give a.
-1738
Rearrange (77*n - 5*n + 173*n)*(11 + 26 + 12)*(-n + 3*n + n) to the form m + r*n**2 + v*n and give r.
36015
Rearrange -33*k**2 - 174*k + 2 + 31*k**2 + 11*k - 255*k to the form n*k**2 + o + b*k and give n.
-2
Rearrange 6*o**4 - 6*o**4 + o**4 + (2*o - 2*o**2 - 2*o)*(-4 - o**2 + 4) - 118*o**4 + 29*o**4 - 264*o**4 to c*o**2 + q*o**4 + p*o**3 + b*o + n and give q.
-350
Express -42*d**3 + 4*d - 21*d**3 + 5*d + 19*d**3 - d**4 + 3*d as l + u*d + m*d**3 + s*d**4 + q*d**2 and give m.
-44
Rearrange 1 + 0 + 2*z**3 + 1 + 22*z**2 + 302*z - 4 - 304*z to g + a*z**3 + t*z + i*z**2 and give a.
2
Rearrange (-10*m**2 - 1 + 1)*(1 - 3 + 1) + 18*m**2 + 226 - 226 + (-4*m + 5*m + 5*m)*(0*m + 3*m - 4*m) to the form g*m + x*m**2 + l and give x.
22
Rearrange -1 + l**2 + 1 + (-1 + 4 + 2)*((2 + 1 - 1)*(2*l + l - 6*l) + 4*l + 5 - 5)*(10*l + l + l) to the form h*l**2 + d*l + s and give h.
-119
Rearrange -3*r - 155889*r**3 + 8 + 155885*r**3 + 4 to v*r**2 + c*r + i + d*r**3 and give d.
-4
Express 4 + 11*l + 8*l + 44*l**3 - 23*l + 2*l**2 + 4*l as z*l + w*l**2 + n*l**3 + s and give s.
4
Rearrange (-3*l**2 - 2*l**2 + 6*l**2)*(4 - 3 - 2) + 740*l**2 - 501*l**2 - 407*l**2 to the form c*l + b + w*l**2 and give w.
-169
Rearrange 2 + 4*v**3 - 120735*v**2 - 12*v**3 - 8*v + 120732*v**2 to the form d*v**3 + z | {
"pile_set_name": "DM Mathematics"
} |
et s(h) = -31*h**3 - h**2 - 11*h - 11. Let u(x) = -6*x**3 - 2*x - 2. Let j be 277/(-1108) - (0 - 45/4). Calculate j*u(k) - 2*s(k).
-4*k**3 + 2*k**2
Let u(t) = -14*t**3 + 15*t**2 - 62*t - 2. Let m(y) = 26*y**3 - 28*y**2 + 123*y + 4. Determine 8*m(b) + 15*u(b).
-2*b**3 + b**2 + 54*b + 2
Let j be (1 + 25)/((-1342)/671). Let k(i) = 17*i - 19. Let x(a) = 0*a - 3 - 6 + 8*a. Give j*x(u) + 6*k(u).
-2*u + 3
Let l(k) = -4*k**2 - 531*k + 3178. Let x be l(6). Let n(c) = -1007*c + 152. Let z(m) = 33*m - 5. Determine x*z(j) - 5*n(j).
19*j
Let j(t) = -56. Let o(p) = -p - 1895. Calculate -j(m) + o(m).
-m - 1839
Let d(q) = -3*q**2 + 21. Let v be 9 - ((-50)/(-5) - 0). Let l(z) = z**2 + 1. What is v*d(k) - 4*l(k)?
-k**2 - 25
Let t(q) = -q**2 - 7*q - 1. Let a(m) = 8*m**2 + 25*m - 3. Determine -a(n) - 4*t(n).
-4*n**2 + 3*n + 7
Suppose -9898 + 648 = 937*n - 817. Suppose -6*h + 7*h = 2. Let p(o) = 21*o**2 + 9. Let i(s) = 5*s**2 + 2. Determine h*p(d) + n*i(d).
-3*d**2
Let t(z) = -z**2 - z - 8. Let o(n) = 3*n + 196. What is o(c) + t(c)?
-c**2 + 2*c + 188
Suppose -2*o = 6*v - 7*v + 9, 8*v + 5*o = 9. Let i(q) = -48*q**2. Let u(f) = -f**2. What is v*i(s) - 126*u(s)?
-18*s**2
Let k be 24/(-12)*5/5. Let o be ((0 - 0) + 1)*1. Let d(p) = -p**2 + p - 1. Let h(j) = -3*j**2 + 3*j. Give k*d(u) + o*h(u).
-u**2 + u + 2
Let r(a) = a**2 - 4*a - 19. Let f be r(7). Let g(s) = 17 + 14 - 71 + 3*s + 25 + 14. Let u(w) = -2*w. Give f*u(l) + 2*g(l).
2*l - 2
Let i(q) = 3*q - 7. Let z be -3*(-3 - 40/(-12)). Suppose -o - s = 7, 3*o - 2*s - 12 = 4*o. Let a(j) = -j + 1. What is o*a(k) + z*i(k)?
-k + 5
Let k(u) = -9391*u + 1. Let i(r) = 28105*r - 3. Give -4*i(t) - 11*k(t).
-9119*t + 1
Let a(g) = 28*g + 22. Let y(c) = -3*c - 4. Let l(o) = a(o) + 5*y(o). Let t(u) = 7*u + 1. Determine 2*l(w) - 5*t(w).
-9*w - 1
Let t(v) be the first derivative of v**4/4 - v**3/3 + v**2/2 - 1776. Let y(k) = -6*k**3 + 4*k**2 - 4*k + 1. Give -4*t(b) - y(b).
2*b**3 - 1
Let g(j) = -907*j**2 - 29*j + 15. Let p(s) = -912*s**2 - 25*s + 13. Calculate -6*g(q) + 7*p(q).
-942*q**2 - q + 1
Let d(v) = v**2 - 52*v + 30. Let y(f) = -2*f**2 - 2*f - 5. Give d(p) + 6*y(p).
-11*p**2 - 64*p
Let j(q) = -532*q**2 + 8*q - 12. Let f(d) = -800*d**2 + 12*d - 19. Calculate 5*f(b) - 8*j(b).
256*b**2 - 4*b + 1
Suppose -3*s + s - 222 = 0. Let b = s + 108. Let u(j) = -6*j + 2. Let a(g) = -5*g + 2. Give b*a(y) + 2*u(y).
3*y - 2
Let k(z) = -2*z**3 - 8*z**2 + z - 2. Let q(r) = -12*r**3 - 16*r**2 + 59*r - 3. What is 2*k(c) - q(c)?
8*c**3 - 57*c - 1
Let w(c) = 423*c**3 - 58*c**2 + 10*c - 20. Let z(i) = -141*i**3 + 19*i**2 - 3*i + 6. What is 3*w(s) + 10*z(s)?
-141*s**3 + 16*s**2
Let i(w) = -1325. Let u(v) = 757. Let h(a) = -4*i(a) - 7*u(a). Let r(l) = -l + 1. Calculate -6*h(s) - r(s).
s - 7
Let k(d) = 969*d + 133. Let q(p) = 25*p - 27. Let f(x) = 74*x - 71. Let l(w) = 3*f(w) - 8*q(w). Determine 3*k(a) - 133*l(a).
-19*a
Let o(x) = 4*x. Let v(j) = 12*j + 1. Suppose -2898 = -635*l + 221*l. Determine l*o(r) - 2*v(r).
4*r - 2
Let v(l) = -2698614*l**2 - 2448*l - 2448. Let n(q) = -5513*q**2 - 5*q - 5. Determine 2448*n(a) - 5*v(a).
-2754*a**2
Let t(d) = -9*d**3 + 7*d**2 - 15*d + 7. Let v(a) = 5*a**3 - 4*a**2 + 8*a - 4. Suppose 4*g = 5*g + 3*l - 7, -g + 3*l + 7 = 0. What is g*v(x) + 4*t(x)?
-x**3 - 4*x
Let l = -6646 - -6645. Let x(w) = -2*w - 1. Let d be x(2). Let o(t) = 4*t**2 - t. Let g(u) = -u**2. Calculate d*g(n) + l*o(n).
n**2 + n
Suppose 0 = 673*v - 663*v + 70 - 60. Let c(m) = -4*m**3 - 5*m**2 - 5*m + 5. Let u(k) = 1 - 5*k - 2*k**3 + 4*k - k**2 + k**3. Determine v*c(b) + 5*u(b).
-b**3
Let g(i) be the first derivative of i**4/4 - i**3/3 - 858. Let h(j) = 4*j**3 + 2*j + 3. What is -g(x) - h(x)?
-5*x**3 + x**2 - 2*x - 3
Let v(i) = 43*i - 21. Let f(d) = -d + 2. What is 22*f(o) + 2*v(o)?
64*o + 2
Let y(d) = 28*d - 51392. Let l(v) = -10*v + 17115. Calculate 11*l(j) + 4*y(j).
2*j - 17303
Let c(d) = -141*d**2 + 56*d - 23. Let f(g) = -118*g**2 + 58*g - 21. What is 5*c(n) - 6*f(n)?
3*n**2 - 68*n + 11
Let b(p) = -3*p**2 - 7*p + 4. Let n be 6/(-8 + 2)*0. Suppose 3*q - 6*q = 2*w - 29, -5*w + 2*q + 25 = n. Let f(j) = 4*j**2 + 10*j - 6. Calculate w*b(k) + 5*f(k).
-k**2 + k - 2
Let g(n) = -4*n - 4. Let w(r) be the third derivative of -6*r + 0 - 5*r**2 - 5/3*r**3 - 5/12*r**4. What is -12*g(j) + 5*w(j)?
-2*j - 2
Let n(s) = 76398*s - 29853. Let v(x) = -317*x + 124. Determine -4*n(p) - 963*v(p).
-321*p
Let p(l) = -6*l**2 + l - 2. Let a(u) = 89*u**2 - 9*u + 15. Let i(w) = 38*w**2 - 4*w + 7. Let n(v) = 2*a(v) - 5*i(v). Give 2*n(f) - 5*p(f).
6*f**2 - f
Let s(v) = 278*v - 3. Let y(z) = 1393*z - 17. Determine -11*s(p) + 2*y(p).
-272*p - 1
Let n(u) = 83*u + 12. Let v(h) = 369*h + 47. Calculate 18*n(k) - 4*v(k).
18*k + 28
Let a(t) = -3*t**3 + 6*t**2 + 310*t + 4. Let s(j) = 7*j**3 - 14*j**2 - 621*j - 10. Give -5*a(l) - 2*s(l).
l**3 - 2*l**2 - 308*l
Let g(s) = -833*s**2 + 8*s - 2. Let r(j) = 69138*j**2 - 668*j + 167. Determine -334*g(b) - 4*r(b).
1670*b**2
Let c(n) = -4127*n + 34. Let h(i) = -4*i - 7. Give -c(m) - 5*h(m).
4147*m + 1
Let p(y) = -3*y**3 + 2*y**2 + 4*y - 4. Suppose 74122*i = 73979*i + 286. Suppose 5 = -o + 2*o. Let s(l) = 7*l**3 - 5*l**2 - 9*l + 9. Calculate i*s(h) + o*p(h).
-h**3 + 2*h - 2
Let u(j) = 61*j - 5. Let c(a) = 4 - 1 + 0 + 504*a - 1051*a + 514*a. Let x(i) = 11*c(i) + 6*u(i). Let z(o) = -16*o - 15. Calculate 11*x(n) + 2*z(n).
n + 3
Let v(y) = 6*y + 6. Let j(l) = 171648*l + 177012. Determine -2*j(h) + 59004*v(h).
10728*h
Let y(q) = -q**3 - q**2 + q - 1. Let m = -3678 + 3679. Let n(x) = -3*x**3 + 2*x**2 - 3*x + 2. Calculate m*n(d) + 2*y(d).
-5*d**3 - d
Let m(n) be the first derivative of -n**2 - 4*n - 206. Let k(t) = 1. Determine -3*k(h) + m(h).
-2*h - 7
Let v(q) = -1. Let l = 56 + -54. Let w be -6*(l - 8)*4/(-16). Let a be (-24)/w + 4/(-6). Let z(u) = -u + 3. Calculate a*v(t) + z(t).
-t + 1
Let l(j) = -3*j**2 - 138*j - 499. Let n be l(-42). Let a(f) = -100*f**2. Let s(t) = -250*t**2. Give n*s(b) - 12*a(b).
-50*b**2
Let f(a) = 3*a**2 - 4 - a**2 - a**2. Let y be (5/15)/(332/168 - 2). Let i = -16 - y. Let r(d) = d**2 - 2. What is i*f(j) + 5*r(j)?
3*j**2 - 2
Let t(s) = 10*s**3 - 5*s**2 - 5*s + 5. Let n = 2196 + -2200. Let i(w) = 10*w**3 - 4*w**2 - 4*w + 4. Calculate n*t(u) + 5*i(u).
10*u**3
Let v be (5 - (-322)/(-35))*(-120)/72. Let d(z) = -4*z**3 - 37*z**2 - 5*z + 5. Let j(s) = 6*s**3 + 55*s**2 + 7*s - 7. Calculate v*d(y) + 5*j(y).
2*y**3 + 16*y**2
Suppose -3*d + 8 = -2*l - 23, 0 = -5*d - l + 43. Let s = -8 + 18. Let w(m) = -d - m + s + 2*m. Let h(r) = 2*r**3 - 10*r - 10. Determine -2*h(g) - 20*w(g).
-4*g**3
Suppose -2*r + 31 = -31. Let d(x) = 12 - 2*x - r + 16. Let g be 1 - 4 - (1 - (2 - 3)). Let j(q) = q + 1. What is g*j(w) - 3*d(w)?
w + 4
Let g(u) = 28*u**2. Let x be g(3). Suppose -58*p + 70*p + 7 = 67. Let z(b) = -p*b**2 + x + 264 - 527. Let j(f) = f**2 + 2. Calculate -33*j(a) - 6*z(a).
-3*a**2
Let z(w) = -35*w**2 - 174*w + 13. Let k(c) = -c**3 + 11*c**2 + 58*c - 4. Give -13*k(j) - 4*z(j).
13*j**3 - 3*j**2 - 58*j
Let p(k) = -40*k + 3. Let t(a) = 306*a - 335. Let c(u) = -77*u + 75. Let b(s) = -9*c(s) - 2*t(s). Give 4*b(o) + 7*p(o).
44*o + 1
Suppose -52*t - 290 = -110*t. Let u(j) = 3*j + 11. Let s(o) = 3*o + 10. What is t*u(m) - 6*s(m)?
-3*m - 5
Let q be 6/(-4)*(-44)/(-11). Let l(d) = -10*d + 16*d - 26*d**3 + 21*d**3. Let k(i) = 20*i**3 - 25*i. Determine q*k(a) - 25*l(a).
5*a**3
Let y(l) = l - 1. Let a be ((-4)/10)/(-8 - (-39)/5). Let g(o) = -3*o**a - 2*o + 5*o**2 - 3*o**2 + 0*o**2 + 3. Give g(t) + 2*y(t).
-t**2 + 1
Let k(x) = 2*x - 11884. Let f(z) = 12*z - 71306. Calculate -2*f(q) + 13*k(q).
2*q - 11880
Suppose -19 = -4*r - d - 36, r + 3*d = -7. Suppose -243 = 6*m - 3*m. Let p = -48 - m. Let x(u) = -u - 4. Let v(f) = -9*f - 33. Calculate p*x(z) + r*v(z).
3*z
Let d(k) = k**2 + k - 1. Let v be ((-155)/(-50) - 3) + (-102)/20. Let o(f) = -4*f**3 + 7*f**2 + 5*f - 4. Give v*d(x) + o(x).
-4*x**3 + 2*x**2 + 1
Let z(m) = 54*m - 17. Let h(g) = 61*g - 18. Calculate -6*h(b) + 7*z(b).
12*b - 11
Let o(d) = -4*d**2 + 162*d + 14. Let i(f) = f**2 - 8. Give -2*i(r) - o(r).
2*r**2 - 162*r + 2
Let u be (-2)/(-4) - 10/(-4). Let w(y) = 170*y**2 + 40. Let o(h) = 18523452*h**2 + 1 - 4 - 18523465*h**2. Give u*w(n) + 40*o(n).
-10*n**2
Let s(n) = 30 - 186 + 4*n + 150. Let i(z) = z - 1 | {
"pile_set_name": "DM Mathematics"
} |
k - -33. Which is the third biggest value? (a) l (b) 0 (c) 2/31
b
Let h = -65 - -63. What is the biggest value in -3, h, -2/9?
-2/9
Let u = -1.0182 + 0.9182. Let f be (1 + -2 - 1)*2. What is the second smallest value in u, -0.5, f, -0.2?
-0.5
Let i be (-42)/(-8)*43/(-129). Let l = 16 - 16.29. Let d = -0.01 + l. Which is the biggest value? (a) i (b) -3/7 (c) d
c
Let d = 8 + -11. Let k be 21/14*(-23 + d). Let m be (-10)/(-15) + 20/k. What is the second smallest value in -8, m, -2?
-2
Let d = -230 + 225. What is the third smallest value in 15, d, 2, 1?
2
Suppose 6 = 2*k + 4*n + 8, -3*k = -n - 18. Let o = 136/3 + -45. What is the second biggest value in k, o, 0.5, -5?
0.5
Let b = -102.3 + 97.3. What is the biggest value in -0.2, -0.5, 1/5, b?
1/5
Let h be (-1)/(-21)*(18 + -20). Which is the second biggest value? (a) -1 (b) -5 (c) 2 (d) h
d
Let f = -82 - -30. Let u = 55 + f. What is the smallest value in -1/5, 1, u, 0.2?
-1/5
Let m(z) = 9*z**2 + 107*z - 17. Let r be m(-12). Which is the second biggest value? (a) -0.5 (b) r (c) -68
b
Let w = -0.2883 - 0.1117. What is the biggest value in -29/8, -0.5, w?
w
Let y = 0.177 - -0.653. Let k = 0.27 + y. Let u = -88/145 + 6/29. Which is the biggest value? (a) u (b) 3/2 (c) k
b
Let i be (-10)/6*12/15. Let f = 4.014 - -0.086. Let t = f - 4. What is the second biggest value in i, t, -0.4?
-0.4
Let i be (544/(-88) - 3) + 9. What is the biggest value in 1/8, -108/7, i?
1/8
Suppose -w + 18 = 6. Let k = w - -28. Let i be ((-8)/(-110))/((-16)/k). Which is the second smallest value? (a) -2 (b) 0.03 (c) i
c
Let i = 0.09 + -3.09. What is the biggest value in i, 6, -4?
6
Let i = 0.01 - 2.01. Let w = i - -2. Let f = -1.39 + 1.89. What is the biggest value in -4/5, w, f?
f
Let s = -3.8 + 3.7. Let a = -9 - -18. Let v = 13 - a. What is the smallest value in v, -4, s?
-4
Let q = 7.86 + -10.86. What is the second biggest value in 0.97, q, -4?
q
Let s = -9350/19 - -492. What is the biggest value in -3/2, -0.2, 3/7, s?
3/7
Let z be (-1)/(-5)*(-105)/28. Let h = z - -5/4. Let r = 5 - 10. What is the second biggest value in r, 2/3, h?
h
Let a = 5 - 1.6. Let d = -2.9 + a. Let v = 5 + -3. What is the biggest value in -5, v, d?
v
Let z = -2.6 - 7.4. Let x = z + 5. Let g = -50.1 + 50. Which is the smallest value? (a) g (b) x (c) 2
b
Let h = 4 - 4.4. Let z = 0.002 - 4.002. Let s = -8.5 - -8. Which is the second biggest value? (a) z (b) s (c) h
b
Let m = -34.5 - -35. Suppose 9*q - 7*q + 18 = -3*v, 2*q + 4*v = -22. Which is the second biggest value? (a) q (b) m (c) 2
b
Suppose 7*i = i + 12. Suppose 8 = i*l + 16. What is the third smallest value in -2/3, -0.02, l?
-0.02
Let x = 236 - 237. Which is the second smallest value? (a) x (b) -1/22 (c) -4
a
Suppose -3 + 2 = 3*u - 2*y, -3*y = 5*u + 8. Which is the smallest value? (a) -3 (b) -6 (c) 5 (d) u
b
Let u = 0.1129 - -3.8871. What is the smallest value in u, 0.5, -9?
-9
Let k = 39 + -39. Suppose 4*g = 4*s - 32, k = -3*g + 4*g + 5*s - 22. What is the third smallest value in g, -2, 1/5?
1/5
Let o be -6 + 6*34/30. Let h = 1.5 - 2. What is the third biggest value in 0.5, h, o?
h
Let g = 2.5 + -2. Let v = -332 - -329. Which is the third biggest value? (a) v (b) g (c) -0.2
a
Let x = 0.44 + -0.396. Let v = -0.956 - x. Which is the biggest value? (a) v (b) -4 (c) 3 (d) -0.3
c
Let y = 1.5 + 4.9. Let t = y - 5.9. What is the smallest value in 0.1, 3, t?
0.1
Let g(f) be the third derivative of -7*f**4/24 + 5*f**3/3 + 18*f**2. Let s be g(2). Which is the third biggest value? (a) 0.01 (b) -1 (c) s
c
Let j be (-19)/(-4) + 18/(-24). Suppose -16 = j*d, -4*d + d - 88 = 2*i. Let p = -191/5 - i. What is the biggest value in 4, p, 5?
5
Let h = -1.7 - -0.5. Let l = -1.34 - h. Let g = 0.13 + l. What is the third smallest value in -0.4, g, -3/7?
g
Let r = 196.4 + -196. Which is the second biggest value? (a) 2 (b) -82 (c) r
c
Let k = 18/13 + -38/65. What is the third biggest value in k, 1, 2, -5?
k
Let d be (48/(-28))/((-10)/35). Let u be d/((-24)/(-28)) + -2. What is the second smallest value in -3, 1, u?
1
Let i(t) = -3*t**2 + t + 1. Let h be i(-1). Let d be ((-2*(-2)/(-14))/(-2))/((-88)/(-308)). Which is the second biggest value? (a) h (b) d (c) 1
b
Let w be 1 + 2 + (-90)/26. Let p = -1442 + 1441.5. Which is the fourth biggest value? (a) 0.4 (b) w (c) p (d) -0.2
c
Let p = 1.17 - -7.83. Let v = p - 8.8. Which is the biggest value? (a) v (b) 0.16 (c) 1
c
Let h(c) = -c**3 - 50*c**2 + 49*c - 105. Let f be h(-51). What is the smallest value in -3/2, f, 5, 0.2?
f
Let k(d) = -3*d - 8. Let g be k(-7). Let q = 29 - 27. Let l be (q*(-2)/10)/((-18)/180). Which is the smallest value? (a) 3 (b) l (c) g
a
Let q = -185.6 + 186.1. Suppose -p + 0*p = -2. Which is the biggest value? (a) q (b) -1/2 (c) p (d) 4
d
Let o = 94.3 - 111.3. Which is the third biggest value? (a) 0.2 (b) o (c) 2/3
b
Let l = 16 - 12. Let x(j) = j**2 + 4*j - 1. Let f be x(-4). Let z(u) = 5*u + 3. Let m be z(f). Which is the smallest value? (a) m (b) 3 (c) l
a
Let l = 16 - 26. Let k = 17 + l. Let m = 5 - k. Which is the third biggest value? (a) -1 (b) m (c) -4
c
Let r(o) = o**3 - 3*o**2 - 2*o - 5. Let w be r(4). Let i = -0.537 + 0.637. Which is the third biggest value? (a) w (b) 2 (c) i
c
Let u = -44 - -44.4. Let l = -3 + 4. Which is the smallest value? (a) u (b) 2/17 (c) l
b
Suppose q - 3*q - 3*g + 8 = 0, -3*q + 4*g - 22 = 0. Let f be q/10 + (-1345)/150. Let w = f + 17/2. Which is the third smallest value? (a) -1/8 (b) 0 (c) w
b
Let o be (0/(-8 - -5))/(1 + 1). Suppose 3*c + o*c + 3 = 0. Let n = -1 + -4. What is the biggest value in c, n, 2/3?
2/3
Let p = -337 + 341. Which is the second smallest value? (a) -0.4 (b) 5 (c) p
c
Let t = 29 - 21. Suppose -7*j = -3*j - 112. Let s be (152/j)/2 - 3. Which is the third biggest value? (a) 3/8 (b) t (c) s
c
Let w(f) = -2*f. Let g be w(5). Let y be (-36)/(-15)*g/2. Let x be (-45)/y - (-4)/16. Which is the third biggest value? (a) x (b) -2/13 (c) -0.4
c
Let d = -277/1824 - 9/608. Let v = 1 - 1.05. Which is the biggest value? (a) d (b) v (c) -1
b
Let v = -91 - -93. What is the second smallest value in v, 2/5, 0.04, -1?
0.04
Let x = 6 + -1. Let v be 3/4 - 42/(-56)*(5 + -4). Suppose -15 = -8*y + 3*y. Which is the second smallest value? (a) y (b) x (c) v
a
Let s = -42.51 - 2.19. Let u = 44 + s. What is the biggest value in -5, 1, u?
1
Let m = 1.69 + -1.39. Let x = -20 - -20.4. What is the biggest value in 0.5, x, m, 1/11?
0.5
Suppose -w - 35 = -6*w. Let j = w - 7. Which is the third smallest value? (a) 5 (b) j (c) 3
a
Let j be (3 - 10/2)*168/(-7). What is the biggest value in 2, j, -5?
j
Let d = 0.4383 + -0.0383. Suppose -2*n = -n - 2. Which is the second biggest value? (a) 1/7 (b) d (c) n
b
Suppose 2*z = 3*z + 3*q - 33, z - 38 = -4*q. Which is the smallest value? (a) -3 (b) -2 (c) z
a
Let n = 5 + -9. Let l = n - -3.87. Let p = 0.13 + l. Which is the third smallest value? (a) -3/5 (b) p (c) 1/4
c
Let l be (2/(-2))/(2/42). Let k be (l/12 - -2)*4. Suppose -j = -2*u + k, j + 3 = -0*j. Which is the smallest value? (a) u (b) -2/5 (c) 5
a
Let k = -236 + 236.13. Let g = 13 + -8. Which is the fourth smallest value? (a) -1/2 (b) g (c) k (d) 2
b
Let a = 361/20 + -94/5. What is the smallest value in a, 4, -0.01, -5?
-5
Let f = -4.7 - -4.4. Suppose -5*c + 10*c + 2*a - 5 = 0, -a = -c + 1. What is the second biggest value in 2/5, c, f, 0.3?
2/5
Let z = -23/63 - -1/7. Suppose -15 = -5*q, -2*c = -3*c + 4*q - 15. Let w = 28 + -28. What is the second smallest value in z, c, w?
z
Let i = 159.1 + -159. Let g = -21.64 + 22. Let z = -0.06 + g. Which is the third biggest value? (a) -4 (b) i (c) z
a
Let m = -253 + 257. What is the third smallest value in 48, m, -1/2?
48
Let s = 0.29 + 0.01. Which is the third smallest value? (a) s (b) 2/13 (c) 9
c
Let g = 51 - 49. What is the biggest value in 1, g, -15/2, -1/2?
g
Let g(a) = -2*a - 9. Let o(y) = -4*y - 18. Let v(u) = 10*g(u) - 4*o(u). Let d be v(-9). Let t = -16 + d. What is the biggest value in t, -0.2, 7?
7
Let f = -16.6 + 17. Let k = 0.8 - 1. Let m = 1315/4676 + 3/668. Which is the third smallest value? (a) f (b) k (c) m
a
Suppose 41*a = -81 - 288. What is the third s | {
"pile_set_name": "DM Mathematics"
} |
+ 3*z. What is y(b(c))?
7*c**2
Let z(q) = -2*q**2 - 79*q. Let r(x) = -3*x. Calculate z(r(o)).
-18*o**2 + 237*o
Let o(d) = 10*d - 5. Let k(b) = -5*b + 2. Let w(r) = -5*k(r) - 2*o(r). Let t(n) = n**2 - 6*n + 3. Let a be t(6). Let l(u) = 3 - u - a. Determine w(l(v)).
-5*v
Let b(h) = -2*h**2. Let p(j) = 11*j - 4. Suppose -6 - 29 = -5*d. Let t(a) = 21*a - 7. Let x(r) = d*p(r) - 4*t(r). Determine b(x(y)).
-98*y**2
Let f(p) = p**2. Let k(v) be the first derivative of 1/2*v**2 - 1 + 0*v. Give k(f(c)).
c**2
Let y(t) = -t**2 - 16 + 16 - 11 + 0*t**2. Let f(a) = -2*a. What is y(f(z))?
-4*z**2 - 11
Let n(b) = -26*b. Let j(w) be the second derivative of -w**4/6 - 11*w. Determine n(j(y)).
52*y**2
Let x(a) = 36*a**2 - 1 + 1 - 40*a**2. Let l(d) = d. Give l(x(s)).
-4*s**2
Let o(w) = -w**2. Let b(z) = z**2 - 4*z + 4. Let q be b(4). Let n(p) = 16*p - q*p - 9*p. Determine n(o(v)).
-3*v**2
Suppose m + 3 = 7. Let q(p) = -4 + 6*p + 4 - m*p. Let v(g) = 6*g. What is q(v(y))?
12*y
Let c(g) = 2*g - 1 + 1. Let d(h) be the first derivative of 2*h**3/3 - 22. Give c(d(k)).
4*k**2
Let l(g) = 15*g + 1. Let i(m) = -4*m. What is l(i(w))?
-60*w + 1
Let m(t) = t. Let c(q) be the second derivative of -q**7/1260 - q**4/4 - 4*q. Let p(o) be the third derivative of c(o). Calculate p(m(w)).
-2*w**2
Let m(w) = -w**3 + w**2 + w + 4. Let q be m(0). Let f(b) = 2*b. Let z be f(q). Let u(s) = -z*s + 0*s + 2*s. Let g(h) = 2*h. What is u(g(o))?
-12*o
Let j(p) = -p**2 - 8*p + 13. Let f be j(-9). Let x(o) = -4*o - o + f*o. Let a(z) = 0*z - 2*z + 0*z. Calculate a(x(h)).
2*h
Let g(j) be the third derivative of -7*j**4/12 + 33*j**2. Let q(h) = -h. Determine q(g(i)).
14*i
Let q = 17 - 11. Let t(k) = -2 + q*k**2 + 1 + 6 + 5*k. Let m(r) = 7*r**2 + 6*r + 6. Let l(x) = 5*m(x) - 6*t(x). Let w(j) = 2*j. Determine w(l(i)).
-2*i**2
Let g(w) be the second derivative of -7*w**6/720 - w**4/6 + 2*w. Let y(u) be the third derivative of g(u). Let m(r) = r**2. Determine m(y(f)).
49*f**2
Let j(b) = -74*b. Let z(r) = -79*r**2. Calculate j(z(d)).
5846*d**2
Let r be 0 - 1 - (-4 + 3). Let c(a) be the third derivative of r*a**3 + 1/12*a**4 + 0 + 0*a + 2*a**2. Let l(v) = 5*v. Calculate l(c(j)).
10*j
Let m(f) = 936*f**2. Let q(i) = 28*i**2. What is q(m(a))?
24530688*a**4
Let r(m) = 9*m. Let g(f) = 17*f. Give g(r(u)).
153*u
Let n(o) = o**2. Let s(v) = v**2 - 7*v + 5. Let i be s(4). Let f(j) = 16*j**2 + 7*j. Let h(t) = 11*t**2 + 5*t. Let x(d) = i*h(d) + 5*f(d). Calculate n(x(m)).
9*m**4
Let q(j) = 6*j**2. Let a(u) be the second derivative of -u**4/6 - 3*u. Give a(q(s)).
-72*s**4
Let r(u) = -1109*u + 6. Let k(z) = 2*z. What is r(k(o))?
-2218*o + 6
Let h(p) = -p. Let b = -4 - -10. Let k = b - 2. Let t(m) = k - 4 + 3*m**2. Calculate h(t(r)).
-3*r**2
Let c(f) be the first derivative of -f**4/8 - f**2/2 - 2. Let s(j) be the second derivative of c(j). Let m(d) = -2*d - 255 + 255. Calculate s(m(i)).
6*i
Let x(z) = -2*z. Let m(w) = -2*w**2 - 4*w - 4. Let s(l) = l + 1. Suppose v - 1 + 0 = 0. Let a(f) = v*m(f) + 4*s(f). Determine x(a(t)).
4*t**2
Let o(n) = -18*n + 6. Let t(z) = z - 1. Let g(q) = -o(q) - 6*t(q). Let m(b) = 3*b. Calculate g(m(c)).
36*c
Let m(y) be the first derivative of -y**2/2 - 6. Let k(u) = -2*u. What is m(k(p))?
2*p
Let f(m) = -2*m. Let z(o) = o - 27. Give f(z(w)).
-2*w + 54
Let j(b) = -b**3 - 2*b**2 + b + 2. Let a be j(-2). Let m(z) = 3*z**2 + a*z**2 + z**2. Let k(p) be the third derivative of p**4/12 + 4*p**2. What is k(m(c))?
8*c**2
Let g(n) = 6*n. Let q = -1 - -5. Let c(x) = -3*x + q*x - x + x. Calculate g(c(o)).
6*o
Let q(f) = -3*f**2. Let b(v) = 0 + 6 + 2*v - v - 7 - v**2. Let h(o) = -2*o + 2. Let m(w) = 2*b(w) + h(w). Give m(q(x)).
-18*x**4
Let f(h) = -37 + 37 + 2*h**2. Let m(k) = -14*k**2. What is m(f(q))?
-56*q**4
Let r(u) = 2*u. Suppose 0 = -l - 2 - 0. Let a = l + 4. Let b(t) = -a*t**2 + 0*t**2 + 4*t**2 - t**2. Calculate r(b(z)).
2*z**2
Let l(d) = -2*d**2. Let k(i) be the second derivative of -i**7/1260 + i**4/4 - 2*i. Let t(j) be the third derivative of k(j). What is t(l(m))?
-8*m**4
Let z(u) = 3*u - 3*u - 3*u. Let k(m) be the first derivative of -m**5/60 - m**2/2 - 1. Let w(a) be the second derivative of k(a). Give z(w(r)).
3*r**2
Let v(u) = u**2. Let d(x) be the second derivative of -x**4/2 - 5*x. Calculate d(v(w)).
-6*w**4
Let g(y) = 2*y. Suppose -h = 2*t - 0*t - 8, -t = 4*h - 11. Let u(a) be the first derivative of 1/2*a**2 + 0*a - h. Calculate u(g(s)).
2*s
Let r(m) = -3*m**2. Let y(x) = 26*x - 3. Give r(y(i)).
-2028*i**2 + 468*i - 27
Let v(o) = -15 + 15 - 3*o + 0*o. Let d(r) = 17*r**2. What is d(v(s))?
153*s**2
Let r(m) be the first derivative of m**2 - 23. Let b(l) = -2*l - 2. Calculate r(b(o)).
-4*o - 4
Let m(n) = n**2. Let f be (25/(-50))/((-2)/8). Let r(t) be the third derivative of 0 + 0*t + 0*t**3 + 0*t**4 - 2*t**f + 1/60*t**5. Calculate r(m(a)).
a**4
Let o(g) = -g**2. Let v = 7 + -5. Let l(f) = 0 + 0 + 0 - v*f. What is o(l(w))?
-4*w**2
Let c(a) = -a**2. Let k(b) = 4*b + 434 - 434. What is k(c(s))?
-4*s**2
Let l(x) = 968*x**2. Let w(s) = 2*s. Give w(l(d)).
1936*d**2
Let g(v) = -5*v**2. Let i(m) = -3*m + 9. What is g(i(o))?
-45*o**2 + 270*o - 405
Let m(y) = 6 - 6 + 2*y**2. Let k(z) = z + 8. Let f be k(-6). Let i(u) = -17 + 17 + u**f. What is i(m(p))?
4*p**4
Let n(a) = -10*a. Let s(m) be the third derivative of -m**6/180 - 4*m**3/3 + 4*m**2. Let j(l) be the first derivative of s(l). Determine j(n(g)).
-200*g**2
Let u(g) be the first derivative of g**3/3 - 1. Let s(h) = h**2 + 3*h. Let p = -15 - -12. Let j(x) = x**2 + x. Let c(t) = p*j(t) + s(t). What is c(u(i))?
-2*i**4
Let f(m) = -9*m**2 + 3*m. Let v(q) = -18*q**2 + 5*q. Let b(s) = 5*f(s) - 3*v(s). Let d(j) = j. Calculate d(b(o)).
9*o**2
Let q(x) = -16371*x**2. Let j(t) = t**2. Determine j(q(v)).
268009641*v**4
Let f(i) = 3*i**2. Let g(n) = -1413*n. Determine g(f(j)).
-4239*j**2
Let b(r) be the second derivative of -r**4/3 - 16*r + 2. Let d(j) = j. Give d(b(l)).
-4*l**2
Let q = -1 + 6. Let a(p) be the first derivative of -2 + 1 + q + p**2. Let t(i) = i**2. Calculate a(t(o)).
2*o**2
Let r(f) be the third derivative of -f**5/120 + f**3/2 - 3*f**2. Let i(m) be the first derivative of r(m). Let y(c) = -2*c**2. What is y(i(p))?
-2*p**2
Let u(b) = -11*b**2 + 11. Let f(c) = 2*c. Calculate u(f(p)).
-44*p**2 + 11
Let x(a) = -2*a. Let j(b) = -334*b**2. What is j(x(l))?
-1336*l**2
Let k(x) = 4*x - 48*x**2 - 4*x + 61*x**2. Let h(l) = -l**2. Calculate k(h(d)).
13*d**4
Let t(k) = -9*k + 24. Let z(c) = 2*c - 5. Let u(s) = -5*t(s) - 24*z(s). Let w(b) = 2*b**2. What is w(u(y))?
18*y**2
Let p(j) = -39*j**2. Let o(a) = 59*a - 1. Give p(o(f)).
-135759*f**2 + 4602*f - 39
Let h be (6 - (0 - -2)) + -2. Let n(l) be the first derivative of -1/2*l**h + 2 + 0*l. Let b(c) = -2*c**2. What is n(b(k))?
2*k**2
Let h(r) = 7*r**2 - 6. Let t(j) = -15*j**2 + 13. Let i(x) = 13*h(x) + 6*t(x). Let p(l) = -1081*l - 8*l**2 + 543*l + 538*l. Calculate p(i(q)).
-8*q**4
Let w(q) = 1190*q + 21*q**2 + 18*q**2 - 1192*q. Let i(y) = -y**2. Calculate w(i(z)).
39*z**4 + 2*z**2
Let z(w) = -12*w**2. Let f(s) = 60*s - 25. Let l(o) = -5*o + 2. Let c(i) = 2*f(i) + 25*l(i). Determine z(c(v)).
-300*v**2
Let k(f) = 120*f. Let m(j) be the second derivative of -j**4/12 - 24*j. What is m(k(d))?
-14400*d**2
Let y be (-2)/4 - 5/(-2). Let f(s) = -2*s + 2*s + 2*s**2 - s**y. Let b(p) = 2*p**2. Determine b(f(o)).
2*o**4
Let j(r) be the first derivative of -2 - 1 + 2*r**2 + 0. Let c(m) = m**2. Determine j(c(y)).
4*y**2
Let k be -4*-3*(-2)/(-12). Let v(h) = -1 + 1 - 2*h**k. Let g(s) = 4*s**2 - 4*s**2 + 4*s**2. What is g(v(f))?
16*f**4
Let x(t) = -10*t**2. Let c(g) = 5*g. Let k(i) be the second derivative of i**3/6 + 2*i. Let r(z) = -2*c(z) + 11*k(z). Calculate r(x(d)).
-10*d**2
Let j(h) = -h - 4. Let u(f) = -8*f**2. Calculate j(u(a)).
8*a**2 - 4
Let p(i) = -2*i. Let m(a) = 2. Let b(h) = -h + 5. Let z(t) = 2*b(t) - 5*m(t). Determine p(z(w)).
4*w
Let t(x) = x**2. Let h(f) be the third derivative of -f**8/10080 + f**5/30 - 3*f**2. Let q(u) be the third derivative of h(u). What is t(q(d))?
4*d**4
Let v(o) be the first derivative of 7*o**3/3 - 3. Let a(x) = -2*x**2. Calculate v(a(r)).
28*r**4
Let j(d) = 14*d. Let k(n) = 5*n. Suppose -p = p - 6. Let z(g) = p*j(g) - 8*k(g). Let u(o) = 5*o - 3*o - 3*o. Determine u( | {
"pile_set_name": "DM Mathematics"
} |
0.1
b
What is the smallest value in -2/5, 2/5, 1, -5515?
-5515
Which is the smallest value? (a) -1 (b) -11 (c) 7/199
b
What is the second smallest value in 6, 738, 525?
525
Which is the smallest value? (a) 2/13 (b) 0.0383 (c) -0.1 (d) -10 (e) -0.4 (f) -8
d
What is the smallest value in -0.01, 0.2, -2.2, 9?
-2.2
What is the sixth smallest value in -0.4, 1, 3/5, 1/4, -0.117, -3/13?
1
What is the fourth biggest value in -4.983, -2, -0.4, 4?
-4.983
What is the third biggest value in -1/7, -4, 32703?
-4
What is the second smallest value in -3/5, 0.8, 5, -0.14, -0.4011, -1/4?
-0.4011
What is the biggest value in -0.5, 5, 2, -6/5, -84.27?
5
Which is the third smallest value? (a) 3/2 (b) -2/7 (c) 2/11 (d) 2 (e) -0.0219 (f) 1/11
f
Which is the third smallest value? (a) -1 (b) 3 (c) 0 (d) 97/3 (e) -4
c
What is the fourth smallest value in -2631, -6/7, -3, 0.2?
0.2
Which is the biggest value? (a) 5/4 (b) -0.2 (c) -3 (d) -731 (e) -2/7
a
Which is the third biggest value? (a) -1 (b) 5 (c) -0.3 (d) 28 (e) 0 (f) -1/58
e
Which is the fifth biggest value? (a) -5 (b) -1 (c) -29/24 (d) 0.3 (e) -70
e
What is the biggest value in -1/5, 7/3, -0.5, -58, 0.09?
7/3
What is the second smallest value in 9132/5, 0.1, 2/7?
2/7
Which is the third biggest value? (a) -0.1 (b) 30 (c) 9 (d) 50 (e) 1 (f) 3/5
c
Which is the second biggest value? (a) -1/7 (b) 4 (c) -2 (d) -10.5 (e) -13/7
a
Which is the fifth biggest value? (a) -0.03 (b) -5 (c) 5 (d) -65/8 (e) 0 (f) -4
b
Which is the third biggest value? (a) 3379 (b) -4/7 (c) 26
b
Which is the biggest value? (a) 1/10 (b) -1.3 (c) 4 (d) -154 (e) -0.3
c
What is the second smallest value in 40, -25.3, -0.5?
-0.5
What is the fifth smallest value in 4, 2, 2/13, 0, 5?
5
What is the third smallest value in 0.5, 4, -0.4, 9319, 4/3?
4/3
What is the fourth biggest value in -1/3, 20.5, -5, 24, 4/7, 0.2?
0.2
What is the third biggest value in 0.03, 5, 2, 0, -10?
0.03
Which is the third biggest value? (a) 0 (b) -1 (c) -86 (d) 0.2 (e) 2/1449
a
What is the fifth biggest value in -2/17, 625, -5, -1/16, 0?
-5
Which is the third smallest value? (a) -1/9 (b) -5025 (c) 3/4
c
What is the second biggest value in 2, 3, -2/3, 68, -2/13, 481?
68
Which is the third biggest value? (a) -106 (b) -2/9 (c) 6087
a
What is the second biggest value in 1/4, -3/2, -2/11, 5, -2/7, 143?
5
Which is the fourth biggest value? (a) -5 (b) -1 (c) -31/366 (d) -0.02 (e) -0.1
b
What is the smallest value in -6, -8/1961, -0.3, -1?
-6
Which is the second smallest value? (a) -2/15 (b) 223 (c) 0.04 (d) 1/4
c
What is the fourth smallest value in -784, 0, -5, 3/4, -0.5?
0
Which is the third smallest value? (a) 6 (b) 1/71 (c) 0.6 (d) -1.5
c
What is the third smallest value in 2/33, 2/11, -0.2, 23, 1/2?
2/11
Which is the second smallest value? (a) -4 (b) 10 (c) 17 (d) 0.23
d
What is the smallest value in -0.3, 32/7, 0.59, -4?
-4
Which is the smallest value? (a) 15 (b) 5 (c) 785
b
What is the fourth biggest value in -3.45, 2/3, 13, 3/5?
-3.45
Which is the second biggest value? (a) 2/11 (b) 3 (c) -0.012 (d) 8 (e) -1/5 (f) 2/15
b
Which is the second biggest value? (a) -0.62 (b) 5 (c) -76
a
Which is the biggest value? (a) 2 (b) 18 (c) -0.5 (d) 0.1 (e) 12 (f) 1/9
b
Which is the biggest value? (a) 2/11 (b) 125 (c) -3/4 (d) 1/5 (e) 4
b
Which is the biggest value? (a) 4 (b) 10881 (c) -3/8
b
What is the second biggest value in -62, 0.3, -92?
-62
Which is the fifth smallest value? (a) -0.2 (b) 6/5 (c) -5 (d) -4 (e) 2/3 (f) 1.14
f
Which is the third biggest value? (a) 34 (b) 2 (c) -0.32 (d) 0 (e) 0.3
e
What is the second biggest value in 3.88, 3/2, -1, -2/9, -3?
3/2
What is the second biggest value in 1/72, 0.1, -2, -1/326?
1/72
What is the smallest value in 6, 3/44, 0.1, -11?
-11
Which is the biggest value? (a) -3/59 (b) -0.5 (c) 0.3 (d) -47 (e) 2
e
What is the fourth biggest value in -28, -1, 3, -87?
-87
What is the fifth smallest value in 8, 10, 4/7, -2, 19?
19
What is the second smallest value in -193, 2/7, -79?
-79
Which is the biggest value? (a) 0 (b) 4 (c) -0.4 (d) 16/5 (e) -2/61
b
Which is the fourth smallest value? (a) -0.2 (b) 2/9 (c) 6 (d) 3 (e) 2/67 (f) -0.5
b
What is the third biggest value in -1/4, -2/3, -3.74, 0.2, -0.4?
-0.4
What is the third biggest value in 397, -5, -0.1, 0.07, 0.4?
0.07
Which is the third biggest value? (a) -11.1486 (b) -0.1 (c) 0.4
a
What is the third biggest value in -2, -0.2, -89, -28, 0, -0.5?
-0.5
What is the biggest value in -3/16, -2, -3/299, 0.5?
0.5
Which is the fourth biggest value? (a) -0.3 (b) 7/2 (c) -1/6 (d) -0.4 (e) 0 (f) -175/9
a
What is the third biggest value in -0.12, 2, -0.5, -2/3, 2195?
-0.12
What is the second biggest value in -5, 1.6, 25, -3, -2?
1.6
What is the second biggest value in 1/4489, -3, -0.1, -1/6?
-0.1
Which is the third biggest value? (a) 2 (b) 58291 (c) 0.5
c
What is the biggest value in -0.2, 0.018827, 5/2?
5/2
Which is the fourth biggest value? (a) -2 (b) -0.2 (c) 3 (d) -2/3 (e) 7342/3
d
What is the third smallest value in -23, 12, 34, 3?
12
Which is the fifth biggest value? (a) 0.5 (b) -2/5 (c) 2 (d) -4 (e) -0.2 (f) -0.97
f
Which is the smallest value? (a) -2 (b) 1/3 (c) 46 (d) -13
d
Which is the fourth smallest value? (a) -0.51 (b) -1/6 (c) -4 (d) 0.11 (e) 5 (f) -2/13
f
Which is the fifth smallest value? (a) -1747 (b) 0.1 (c) 1/4 (d) 2 (e) 3
e
Which is the biggest value? (a) 0.01 (b) 5 (c) -0.5 (d) -5 (e) -1.2 (f) 0.014
b
Which is the smallest value? (a) 5 (b) 3/8 (c) -3/7 (d) -0.25 (e) 6/5 (f) 3
c
Which is the fifth biggest value? (a) 3/5 (b) 6 (c) 41 (d) -0.57 (e) 0
d
Which is the third biggest value? (a) -0.1 (b) 2 (c) 129.72
a
Which is the third smallest value? (a) -1/5 (b) -1 (c) 0 (d) 0.027 (e) 0.01 (f) -5
a
What is the third biggest value in -6, -3, 1/8, -2/15, 24.7, 1?
1/8
Which is the third smallest value? (a) 0.09 (b) -5 (c) 0.7 (d) 11809
c
Which is the smallest value? (a) -1/17 (b) 1.98 (c) 4
a
Which is the third smallest value? (a) -0.3 (b) 3/2 (c) 2/9 (d) -1
c
Which is the second smallest value? (a) -4 (b) -11 (c) -5 (d) 5 (e) -2/19 (f) 17
c
What is the smallest value in -21, 2, 1.18?
-21
What is the third smallest value in -1/2, 1/2, -0.2, -1/6, -7?
-0.2
What is the second biggest value in 1/5, 2, 118, -15, 5/8?
2
What is the second smallest value in 0.5, 2, 5644?
2
What is the third biggest value in 5, 2.2509, 4?
2.2509
What is the second biggest value in 4, 2, -1, 20472?
4
Which is the smallest value? (a) -4 (b) 386.9 (c) 0.4 (d) 0.5 (e) -1/2
a
Which is the third biggest value? (a) 4 (b) -0.6329 (c) -116
c
Which is the fifth smallest value? (a) 24 (b) 12/13 (c) 2/21 (d) 0.2 (e) 57
e
What is the third biggest value in -0.7, 28, 1/23, -1/3?
-1/3
What is the smallest value in 1/4, 0.1, -1, 19, 10, 0.2?
-1
Which is the fifth smallest value? (a) 3/2 (b) 17 (c) 3 (d) 22 (e) -2
d
Which is the second smallest value? (a) 0.5 (b) -0.6 (c) -5 (d) 3 (e) -20069
c
Which is the second biggest value? (a) -14 (b) -29 (c) -16/9
a
Which is the second smallest value? (a) -0.2094 (b) 5 (c) 33
b
Which is the second biggest value? (a) 1/4 (b) -0.3 (c) 0.228 (d) -0.4 (e) 3
a
What is the biggest value in 4, 2, -0.096079, 1/8?
4
Which is the second smallest value? (a) 0 (b) 245/6 (c) -2 (d) 2/5 (e) -34
c
Which is the second biggest value? (a) -3115 (b) 0.4 (c) -5 (d) -2
d
What is the smallest value in -0.13, -5, 12, 1/19, 5?
-5
Which is the fourth smallest value? (a) -6 (b) -3 (c) 40184 (d) -0.4
c
What is the second smallest value in -2, -1/2, -5, 5, 0.8526, -1?
-2
What is the fifth biggest value in 3/7, -0.09, -0.2, 3/5, 20, 1?
-0.09
What is the third biggest value in 1/6, -0.0277, -4/5?
-4/5
What is the fourth biggest value in -0.3, 32, 0.22, 2, -2?
-0.3
Which is the smallest value? (a) 23 (b) 4125 (c) 5
c
What is the fifth smallest value in 1.42, 0, -3/7, -1, 2?
2
What is the third biggest value in -0.02, -4/51, -43, -1/6?
-1/6
What is the second smallest value in -1/5, -3, 1.6, -5, -3/2?
-3
Which is the fourth biggest value? (a) -4.1 (b) -2/13 (c) 3/7 | {
"pile_set_name": "DM Mathematics"
} |
?
3/10
Calculate prob of picking 1 o and 2 i when three letters picked without replacement from {o: 2, t: 6, e: 3, i: 4}.
12/455
Four letters picked without replacement from {m: 2, i: 3, g: 3, d: 2, c: 3}. Give prob of picking 1 c, 1 m, 1 i, and 1 d.
36/715
What is prob of picking 1 y and 2 r when three letters picked without replacement from grygrgqyg?
1/42
Calculate prob of picking 1 r and 1 a when two letters picked without replacement from {a: 2, x: 6, j: 2, r: 9}.
2/19
What is prob of picking 1 z and 1 c when two letters picked without replacement from {z: 1, c: 5, l: 5}?
1/11
What is prob of picking 2 b and 1 k when three letters picked without replacement from {b: 2, g: 3, i: 5, s: 8, k: 2}?
1/570
Calculate prob of picking 2 a when two letters picked without replacement from {b: 5, a: 5, r: 1, f: 1, q: 1, u: 1}.
10/91
Two letters picked without replacement from ffffffooff. What is prob of picking 1 o and 1 f?
16/45
Two letters picked without replacement from bikbkbb. What is prob of picking 1 i and 1 k?
2/21
What is prob of picking 1 d, 1 e, and 2 k when four letters picked without replacement from kzkeezedzeeedezdezd?
8/969
Calculate prob of picking 2 j when two letters picked without replacement from qlqjcji.
1/21
Four letters picked without replacement from fffiiffififfifffiif. What is prob of picking 4 f?
165/1292
Two letters picked without replacement from {y: 2, l: 1, b: 3, x: 2, o: 1, p: 3}. What is prob of picking 1 y and 1 o?
1/33
Two letters picked without replacement from sstmt. What is prob of picking 1 m and 1 t?
1/5
What is prob of picking 3 l and 1 d when four letters picked without replacement from qqbdddqllggqqlqql?
3/595
Two letters picked without replacement from bbbehbeeb. Give prob of picking 2 b.
5/18
Two letters picked without replacement from fayffyaafqaaayaaaa. What is prob of picking 2 f?
2/51
Four letters picked without replacement from snsssssssssnssssns. Give prob of picking 1 s and 3 n.
1/204
Calculate prob of picking 2 h and 1 g when three letters picked without replacement from {p: 3, h: 2, r: 2, u: 4, x: 1, g: 3}.
3/455
What is prob of picking 1 x and 2 c when three letters picked without replacement from {s: 3, x: 7, c: 9}?
84/323
Calculate prob of picking 2 f when two letters picked without replacement from fpkffflkfk.
2/9
Two letters picked without replacement from {u: 1, v: 2}. Give prob of picking 2 v.
1/3
What is prob of picking 2 f when two letters picked without replacement from kkkfkkkffkfkf?
5/39
What is prob of picking 1 b and 2 y when three letters picked without replacement from {s: 2, b: 1, u: 2, y: 2, n: 1}?
1/56
What is prob of picking 2 t, 1 g, and 1 k when four letters picked without replacement from {t: 4, g: 3, k: 7}?
18/143
Calculate prob of picking 1 z and 1 b when two letters picked without replacement from {z: 7, b: 5, t: 8}.
7/38
Three letters picked without replacement from {x: 9, r: 4, l: 3}. Give prob of picking 2 x and 1 r.
9/35
Three letters picked without replacement from {g: 2, d: 1, s: 7}. What is prob of picking 1 d and 2 s?
7/40
Four letters picked without replacement from {w: 2, h: 4, t: 7}. Give prob of picking 4 h.
1/715
Three letters picked without replacement from {m: 7, u: 5, n: 1, s: 3}. What is prob of picking 1 m, 1 u, and 1 n?
1/16
What is prob of picking 2 h, 1 x, and 1 t when four letters picked without replacement from aaxatxhhthhhhtottt?
1/17
Two letters picked without replacement from tmtttlttmt. What is prob of picking 2 m?
1/45
Three letters picked without replacement from drdlrllrlzlldrd. Give prob of picking 1 r and 2 d.
24/455
Four letters picked without replacement from {x: 2, i: 5, u: 3, a: 3, r: 5}. What is prob of picking 1 i and 3 a?
1/612
What is prob of picking 1 q and 2 g when three letters picked without replacement from {q: 2, g: 8}?
7/15
What is prob of picking 1 r, 2 u, and 1 b when four letters picked without replacement from rsreeusuueuesbruuae?
15/1292
Calculate prob of picking 2 l and 2 r when four letters picked without replacement from {l: 2, r: 6}.
3/14
What is prob of picking 1 n, 1 y, and 1 x when three letters picked without replacement from {w: 3, x: 1, l: 1, y: 6, n: 2}?
6/143
Four letters picked without replacement from {t: 4, d: 7}. What is prob of picking 4 t?
1/330
Three letters picked without replacement from awwwaawnnw. What is prob of picking 3 w?
1/12
Four letters picked without replacement from {o: 4}. What is prob of picking 4 o?
1
Two letters picked without replacement from {y: 1, x: 1, f: 3, r: 1, a: 1}. Give prob of picking 1 a and 1 x.
1/21
Calculate prob of picking 4 i when four letters picked without replacement from iiibibniiienbneie.
1/34
Three letters picked without replacement from {p: 1, n: 2, u: 4, t: 1}. What is prob of picking 2 n and 1 u?
1/14
Three letters picked without replacement from hmhhhmhhhhhmhh. Give prob of picking 2 h and 1 m.
165/364
Three letters picked without replacement from {a: 3, n: 2, m: 7, l: 4, z: 2}. What is prob of picking 1 m and 2 n?
7/816
What is prob of picking 1 o and 1 l when two letters picked without replacement from {l: 6, d: 2, o: 7}?
2/5
What is prob of picking 1 v and 2 c when three letters picked without replacement from {v: 1, b: 2, c: 1}?
0
Calculate prob of picking 1 o and 1 t when two letters picked without replacement from ogoztz.
2/15
Calculate prob of picking 2 f and 1 m when three letters picked without replacement from mmdfmmdf.
1/14
Calculate prob of picking 1 b, 1 x, and 1 h when three letters picked without replacement from {x: 1, h: 2, m: 1, b: 1, e: 1, i: 1}.
2/35
What is prob of picking 1 k, 1 l, and 1 z when three letters picked without replacement from {z: 1, l: 1, i: 1, u: 1, k: 1}?
1/10
What is prob of picking 1 r, 2 l, and 1 w when four letters picked without replacement from yylcrlclwrfr?
1/55
Four letters picked without replacement from hyhnnnhnhnhnhnnhnnn. Give prob of picking 2 n and 2 h.
385/1292
What is prob of picking 4 r when four letters picked without replacement from {r: 10}?
1
Four letters picked without replacement from {a: 1, t: 1, g: 5, j: 3}. Give prob of picking 1 j, 1 a, 1 t, and 1 g.
1/14
Three letters picked without replacement from obbbbbbvbobrr. Give prob of picking 1 b, 1 r, and 1 o.
16/143
What is prob of picking 1 h and 1 d when two letters picked without replacement from {d: 1, h: 2, n: 4}?
2/21
What is prob of picking 2 q and 1 e when three letters picked without replacement from eeyqyofyeqjyjjo?
3/455
Four letters picked without replacement from gjgkjuurrujgjujuuj. Give prob of picking 2 r and 2 u.
1/204
Two letters picked without replacement from tttaxtpumumummpttmuu. Give prob of picking 2 u.
1/19
Calculate prob of picking 1 r and 1 z when two letters picked without replacement from zgozgggmzqro.
1/22
Four letters picked without replacement from {k: 3, q: 1, t: 2, r: 1, n: 3, w: 1}. What is prob of picking 1 t, 1 n, 1 r, and 1 k?
3/55
Calculate prob of picking 3 t when three letters picked without replacement from xxxtxttxttxx.
1/22
Four letters picked without replacement from jorulqojrlrjljl. Give prob of picking 1 j, 2 r, and 1 q.
4/455
Calculate prob of picking 1 n and 3 w when four letters picked without replacement from {n: 6, w: 12}.
22/51
Three letters picked without replacement from ssssskssrrksksrk. Give prob of picking 1 s, 1 k, and 1 r.
27/140
What is prob of picking 2 w when two letters picked without replacement from wttwwghhwxzh?
1/11
What is prob of picking 1 i, 1 m, 1 k, and 1 q when four letters picked without replacement from mirrmbrbkbrmkqkkr?
3/595
Two letters picked without replacement from {r: 18, n: 1}. Give prob of picking 2 r.
17/19
Three letters picked without replacement from hddzljo. Give prob of picking 1 d, 1 z, and 1 o.
2/35
Three letters picked without replacement from wweeeewwewww. What is prob of picking 1 e and 2 w?
21/44
Two letters picked without replacement from {v: 2, c: 4, r: 1, x: 5, u: 2, a: 1}. Give prob of picking 1 c and 1 v.
8/105
Four letters picked without replacement from aawwaawaacaaaapaxaaa. What is prob of picking 1 c, 2 p, and 1 x?
0
Calculate prob of picking 1 k, 2 r, and 1 t when four letters picked without replacement from dgqqgqqrrgqqkktdqdqq.
2/4845
Three | {
"pile_set_name": "DM Mathematics"
} |
, -1, -2, -22, -28
Sort 0.7, -45, -1/2 in descending order.
0.7, -1/2, -45
Put 0, 0.2, 42/5 in increasing order.
0, 0.2, 42/5
Put 0.12, 1.21, -2, 1 in decreasing order.
1.21, 1, 0.12, -2
Put 5.9, 2/5, 4 in ascending order.
2/5, 4, 5.9
Sort -1, 9, 11, 2 in increasing order.
-1, 2, 9, 11
Sort -0.5, 1/49, 0.4, -2/17 in increasing order.
-0.5, -2/17, 1/49, 0.4
Sort -0.803, -2/5, -3 in increasing order.
-3, -0.803, -2/5
Sort 12, 5, -5.
-5, 5, 12
Sort -1/4, -4, -6.3, 0.9, -1 in ascending order.
-6.3, -4, -1, -1/4, 0.9
Put 3, 51, 12 in increasing order.
3, 12, 51
Put -47, 1/5, -5, -2/9 in ascending order.
-47, -5, -2/9, 1/5
Sort -5, -2, 4, 1625 in descending order.
1625, 4, -2, -5
Sort -4, -1, 111, 3.
-4, -1, 3, 111
Put -5, 5, -2, -1 in decreasing order.
5, -1, -2, -5
Sort -4, -5.9, -5 in increasing order.
-5.9, -5, -4
Sort 5, -5, -34, -1 in decreasing order.
5, -1, -5, -34
Sort 5, -4, 0, 3, 4 in ascending order.
-4, 0, 3, 4, 5
Put -0.02, 5, 71 in increasing order.
-0.02, 5, 71
Sort -5, -0.4, -64/13, -0.3, -1/2 in increasing order.
-5, -64/13, -1/2, -0.4, -0.3
Sort -2, 20, -1, 5, 7 in increasing order.
-2, -1, 5, 7, 20
Sort 0, -198, 5, 1.
-198, 0, 1, 5
Put 0.2, 2.13, 0 in ascending order.
0, 0.2, 2.13
Put 0, -1, 15, -226 in ascending order.
-226, -1, 0, 15
Put 4/5, 0.1, -0.3, -177 in ascending order.
-177, -0.3, 0.1, 4/5
Sort 0.4, 6, 3/4, 137, -2/13 in decreasing order.
137, 6, 3/4, 0.4, -2/13
Sort -3, -10, -72, -5.
-72, -10, -5, -3
Put 2, 0, 4, -7, 8 in decreasing order.
8, 4, 2, 0, -7
Put 42, 5, 4 in ascending order.
4, 5, 42
Sort 2, -41, -16 in decreasing order.
2, -16, -41
Put -153, -2, 4, -3 in decreasing order.
4, -2, -3, -153
Put 3/4, 0.101, 0, 4, -2/15 in decreasing order.
4, 3/4, 0.101, 0, -2/15
Sort -0.1, -311, -1, 2 in increasing order.
-311, -1, -0.1, 2
Put 74, 0, -5 in descending order.
74, 0, -5
Put -5, -1, 2, 4, -2 in ascending order.
-5, -2, -1, 2, 4
Sort -22, 2/7, -43, -2.
-43, -22, -2, 2/7
Sort -1/12, 0.3, -1026, 4.
-1026, -1/12, 0.3, 4
Sort -5/3, 2/3, -0.02, 1/2 in decreasing order.
2/3, 1/2, -0.02, -5/3
Sort -8, -5, 3, -1, 4.
-8, -5, -1, 3, 4
Put 5, 3, -12/11, 6/11 in descending order.
5, 3, 6/11, -12/11
Put -4, 5, 1, 17 in descending order.
17, 5, 1, -4
Put -0.05, 4, -1/5, 0, -0.17 in ascending order.
-1/5, -0.17, -0.05, 0, 4
Sort -3, -4, -13, -6, -2 in decreasing order.
-2, -3, -4, -6, -13
Sort -1/2, 860, 0.5, 0.3 in increasing order.
-1/2, 0.3, 0.5, 860
Sort -8, 2/9, -2/7, -0.07 in increasing order.
-8, -2/7, -0.07, 2/9
Sort -49, 2, 0.4, 3/5 in descending order.
2, 3/5, 0.4, -49
Put -1/4, -37, -5, -3 in increasing order.
-37, -5, -3, -1/4
Put 7, -4, 3, -10 in increasing order.
-10, -4, 3, 7
Put -1, 3, 0, -3 in descending order.
3, 0, -1, -3
Sort 5, 0.5, 0, -4 in descending order.
5, 0.5, 0, -4
Sort -2/5, 82, 5 in ascending order.
-2/5, 5, 82
Put -2, -2/5, -2/69, 5, -3 in increasing order.
-3, -2, -2/5, -2/69, 5
Sort -604, -1/3, 3/4, 0 in increasing order.
-604, -1/3, 0, 3/4
Sort 73, -19, 0.2.
-19, 0.2, 73
Sort -1, 1/7, 26, 0.3, 0.5 in ascending order.
-1, 1/7, 0.3, 0.5, 26
Sort 0, -4, -3, -76.
-76, -4, -3, 0
Sort -10, 1, -98 in increasing order.
-98, -10, 1
Put 2/7, 5, 22, 51 in decreasing order.
51, 22, 5, 2/7
Sort -0.5, 4/7, -9/5, 23/3, -3/8 in descending order.
23/3, 4/7, -3/8, -0.5, -9/5
Put 2, -1, -71 in ascending order.
-71, -1, 2
Sort 3/4, -2/103, 1 in descending order.
1, 3/4, -2/103
Put -27, -2/9, 1/3, -9 in descending order.
1/3, -2/9, -9, -27
Sort 1/8, -7, -6/31, 1/3 in descending order.
1/3, 1/8, -6/31, -7
Sort -3, 3, -33 in descending order.
3, -3, -33
Put 0, 7, -2, -5 in decreasing order.
7, 0, -2, -5
Sort 3/5, 2/11, 3 in ascending order.
2/11, 3/5, 3
Sort -3, 39, -12 in decreasing order.
39, -3, -12
Sort -1/4, -0.5, 5, -4 in increasing order.
-4, -0.5, -1/4, 5
Put 2, 160, 3, 1 in ascending order.
1, 2, 3, 160
Sort 3/7, 13, 4, -4, 0.3 in increasing order.
-4, 0.3, 3/7, 4, 13
Sort 3/22, -5, 4, -1.7 in decreasing order.
4, 3/22, -1.7, -5
Sort 1, 0, -6, 4 in ascending order.
-6, 0, 1, 4
Put 0, -2, -3, 17 in ascending order.
-3, -2, 0, 17
Sort -91, 4, -11, 1, -1 in decreasing order.
4, 1, -1, -11, -91
Sort 2/15, 42/17, -1 in decreasing order.
42/17, 2/15, -1
Put -4/9, 2, 0.02, -3 in increasing order.
-3, -4/9, 0.02, 2
Sort -3, -45, 2/9 in ascending order.
-45, -3, 2/9
Sort -5, 10, 4, -1, 2 in decreasing order.
10, 4, 2, -1, -5
Sort 42, 7, -4, 2, -5.
-5, -4, 2, 7, 42
Put -0.2, -0.4, 2, -7, -8 in decreasing order.
2, -0.2, -0.4, -7, -8
Sort -9, 9, -1/4.
-9, -1/4, 9
Sort -1/6, -5, 0.2, 0.5.
-5, -1/6, 0.2, 0.5
Sort 0, -2/29, -3/112 in increasing order.
-2/29, -3/112, 0
Put 7, 4, -4, 0 in descending order.
7, 4, 0, -4
Sort 3, -1, 0, 377, 2.
-1, 0, 2, 3, 377
Sort -2, 16, 8, 1 in decreasing order.
16, 8, 1, -2
Put 0.1, -2, 0.4, 0.2, -224 in descending order.
0.4, 0.2, 0.1, -2, -224
Put -4, 2, 308/3 in increasing order.
-4, 2, 308/3
Put -1/2, -58, -2, -1/3 in descending order.
-1/3, -1/2, -2, -58
Sort 2, -2, -11/4 in ascending order.
-11/4, -2, 2
Put -248, 1, 6 in increasing order.
-248, 1, 6
Sort -72, -2, -3, 3, 1.
-72, -3, -2, 1, 3
Sort -4, 71, 4 in descending order.
71, 4, -4
Sort 2, 7/20, 4 in increasing order.
7/20, 2, 4
Put 848, 3, -1 in increasing order.
-1, 3, 848
Put -1, -28, 3, 7 in decreasing order.
7, 3, -1, -28
Put -2, 197, 0, 5 in ascending order.
-2, 0, 5, 197
Sort -1, -5, 51 in descending order.
51, -1, -5
Put 2, -1, -5, -59 in increasing order.
-59, -5, -1, 2
Put -4, -3, 28, 1 in descending order.
28, 1, -3, -4
Sort 2, 0.4, -0.2, -29/5 in descending order.
2, 0.4, -0.2, -29/5
Put -51, -11, 15 in descending order.
15, -11, -51
Put 2, 12, 194 in descending order.
194, 12, 2
Sort -14, -2, -3 in increasing order.
-14, -3, -2
Sort 18, 5, 0.5, 2/3 in descending order.
18, 5, 2/3, 0.5
Sort 76, -4, 0 in descending order.
76, 0, -4
Put -1, -1/4, 15, -2/5 in decreasing order.
15, -1/4, -2/5, -1
Sort -0.2, -126, -4, 1 in ascending order.
-126, -4, -0.2, 1
Put -0.4, -11, 0 in descending order.
0, -0.4, -11
Sort 1, 0, -81.
-81, 0, 1
Sort 1, 2, -4, 1882, -4/3 in decreasing order.
1882, 2, 1, -4/3, -4
Sort 1.78, -0.2, -0.1 in decreasing order.
1.78, -0.1, -0.2
Sort -5, 32/29, 2/9 in decreasing order.
32/29, 2/9, -5
Sort -4, -22, -3, -5, -7 in decreasing order.
-3, -4, -5, -7, -22
Sort -2, -11, 62 in decreasing order.
62, -2, -11
Put 3, 1, 0 in increasing order.
0, 1, 3
Put 22, 4/9, -0.1 in ascending order.
-0.1, 4/9, 22
Put -2, 2, 4, 6 in ascending order.
-2, 2, 4, 6
Sort 2, -16, -5 in increasing order.
-16, -5, 2
Sort 5, -1, -76 in descending order.
5, -1, -76
Sort 0, 3, -3, 6.
-3, 0, 3, 6
Put 4/7, -0.34, 1/6 in decreasing order.
4/7, 1/6, -0.34
Sort 5, 1, -8, 4 in decreasing order.
5, 4, 1, -8
Put -1/3, -0.17, 0, -6 in ascending order.
-6, -1/3, -0.17, 0
Put 3, -4, 478 in decreasing order.
478, 3, -4
Sort 8, 2, 0, -19, 3 in ascending order.
-19, 0, 2, 3, 8
Sort 3, 7, 5 in increasing order.
3, 5, 7
Put 39, 5, -1/11, 1/3 in decreasing order.
39, 5, 1/3, -1/11
Put -16, -2, -4, 2, -1 in descending order.
2, -1, -2, -4, -16
Sort -2, 0, 5, 12.
-2, 0, 5, 12
Put -3/7, 2, -28 in decreasing order.
2, -3/7, -28
Put -14, 3, 2 in decreasing order.
3, 2, -14
Put -4, -29, 17, -3 in ascending order.
-29, -4, -3, 17
Sort -1, 3, -7, 2.
-7, -1, 2, 3
Sort 5, 1, 734 in descending order.
734, 5, 1
Sort -10587, 2, -2 in ascending order.
-10587, -2, 2
Put 3, 10/3, 0.1, -2/29 in increasing order.
-2/29, 0.1, 3, 10/3
Sort 4, 4/3, 46, -2 in increasing order.
-2, 4/3, 4, 46
Sort -11, 5, -35, -2 in descending order.
5, -2, -11, -35
Sort 144, 5, 1, 7 in ascending order.
1, 5, 7, 144
Sort -38, 12, -1, 2 in decreasing order.
12, 2, -1, -38
Put -4, 2, 0, -110 in increasing order.
-110, -4, 0, 2
Put -6, -4, -5, 5, -251 in decreasing order.
5, -4, -5, -6, -251
Put -2/3, -6, 0.082 in descending order.
0.082, -2/3, -6
Put -8, 4, 2, -4 in decreasing order.
4, 2, -4, -8
Put 2, -3, -10, -4 in decreasing order.
2, -3, -4, -10
Sort 2, 15, -14 in decreasing order.
15, 2, -14
Put -2, -106, -3, 1 in descending order.
1, -2, -3, -106
Sort -3, -2.6, -4 in decreasing order.
-2.6, -3, -4
Sort -1/3, 0.5, 2, 33, -0.8 in increasing order.
-0.8, -1/3, 0.5, 2, 33
Put -3, -0.4, 33, -4 in ascending order.
-4, -3, -0.4, 33
Put 2, 1, -12, 3 in decreasing order.
3, 2, 1, -12 | {
"pile_set_name": "DM Mathematics"
} |
7, 13, 271, 883
List the prime factors of 679063544.
2, 223, 380641
List the prime factors of 70013707.
59, 1186673
List the prime factors of 138418710.
2, 3, 5, 4613957
What are the prime factors of 281562981?
3, 7, 89, 150649
What are the prime factors of 101007999?
3, 17, 337, 653
List the prime factors of 294951314.
2, 7, 21067951
What are the prime factors of 76403614?
2, 7, 1181, 4621
List the prime factors of 19917133.
71, 163, 1721
List the prime factors of 550021184.
2, 8594081
List the prime factors of 3263784464.
2, 2339, 87211
List the prime factors of 194288471.
13, 19, 113, 6961
What are the prime factors of 13486860?
2, 3, 5, 31, 2417
What are the prime factors of 81884059?
81884059
What are the prime factors of 6951188?
2, 19, 91463
List the prime factors of 396857115.
3, 5, 107, 82421
What are the prime factors of 415741419?
3, 29, 1592879
List the prime factors of 7390613336.
2, 227, 4069721
List the prime factors of 153314321.
153314321
What are the prime factors of 785474463?
3, 261824821
What are the prime factors of 299121895?
5, 157, 381047
What are the prime factors of 613039729?
29, 21139301
List the prime factors of 17837906.
2, 8918953
List the prime factors of 44808203.
11, 41, 73, 1361
List the prime factors of 1186177377.
3, 7, 11, 227, 22621
List the prime factors of 1999425945.
3, 5, 11, 12117733
What are the prime factors of 147527201?
89, 1657609
What are the prime factors of 17327868?
2, 3, 1443989
List the prime factors of 22605631.
17, 37, 83, 433
What are the prime factors of 26213937?
3, 8737979
What are the prime factors of 43392309?
3, 41, 131, 2693
What are the prime factors of 88802024?
2, 11100253
List the prime factors of 733507319.
71, 10331089
List the prime factors of 256850709.
3, 29, 2952307
List the prime factors of 439723316.
2, 109930829
List the prime factors of 267358427.
7, 38194061
List the prime factors of 91459558.
2, 17, 59, 127, 359
What are the prime factors of 38952049?
17, 47, 48751
List the prime factors of 798210446.
2, 11, 23, 271, 5821
List the prime factors of 635865011.
635865011
What are the prime factors of 293039416?
2, 1097, 33391
List the prime factors of 152316140.
2, 5, 7615807
List the prime factors of 392216708.
2, 13, 7542629
List the prime factors of 86966851.
86966851
List the prime factors of 265137618.
2, 3, 44189603
What are the prime factors of 889641670?
2, 5, 88964167
List the prime factors of 275134074.
2, 3, 2381, 19259
What are the prime factors of 161243743?
37, 929, 4691
What are the prime factors of 56903071?
103, 113, 4889
List the prime factors of 1532166645.
3, 5, 102144443
List the prime factors of 44755977.
3, 7, 37, 57601
List the prime factors of 3493666044.
2, 3, 11, 71, 137, 907
List the prime factors of 61358773.
7, 8765539
List the prime factors of 376657636.
2, 547, 172147
What are the prime factors of 137933349?
3, 45977783
List the prime factors of 6492412.
2, 139, 11677
What are the prime factors of 310574899?
101, 109, 28211
List the prime factors of 3650020852.
2, 29, 31465697
List the prime factors of 352680133.
13, 4861, 5581
What are the prime factors of 111897672?
2, 3, 17, 274259
What are the prime factors of 614141387?
614141387
List the prime factors of 24809216.
2, 96911
What are the prime factors of 19373388?
2, 3, 19, 31, 2741
What are the prime factors of 65361833?
353, 185161
What are the prime factors of 662803279?
6199, 106921
List the prime factors of 1656447627.
3, 552149209
List the prime factors of 63663644.
2, 11, 1446901
What are the prime factors of 175071399?
3, 58357133
List the prime factors of 106576759.
6163, 17293
What are the prime factors of 100030334?
2, 50015167
List the prime factors of 3751215201.
3, 19, 21936931
List the prime factors of 32531174.
2, 13, 317, 3947
List the prime factors of 50674808.
2, 727, 8713
What are the prime factors of 4324565182?
2, 7, 967, 319439
List the prime factors of 735829816.
2, 263, 349729
List the prime factors of 4669427498.
2, 19, 122879671
What are the prime factors of 1230574969?
13, 94659613
What are the prime factors of 1319026252?
2, 41, 8042843
List the prime factors of 93622602.
2, 3, 1453, 10739
List the prime factors of 1456385291.
17, 8923, 9601
List the prime factors of 3763422.
2, 3, 13, 1787
What are the prime factors of 445372674?
2, 3, 53, 1400543
List the prime factors of 1517842247.
79, 19213193
What are the prime factors of 72272769?
3, 257, 93739
What are the prime factors of 657201889?
883, 744283
What are the prime factors of 61001195?
5, 12200239
List the prime factors of 1902197224.
2, 237774653
List the prime factors of 240619909.
240619909
List the prime factors of 638210302.
2, 23, 2969, 4673
List the prime factors of 133731866.
2, 67, 311, 3209
List the prime factors of 63160112.
2, 3947507
What are the prime factors of 732203718?
2, 3, 122033953
List the prime factors of 524653076.
2, 131163269
What are the prime factors of 1332842008?
2, 181, 277, 3323
List the prime factors of 110998670.
2, 5, 479, 23173
What are the prime factors of 76204910?
2, 5, 7620491
What are the prime factors of 2158755944?
2, 41, 197, 33409
List the prime factors of 127328030.
2, 5, 12732803
What are the prime factors of 624405717?
3, 13, 5336801
List the prime factors of 142567314.
2, 3, 373, 63703
List the prime factors of 358658282.
2, 17, 31, 340283
What are the prime factors of 74792980?
2, 5, 47, 251, 317
What are the prime factors of 17732034?
2, 3, 23, 4759
List the prime factors of 49138298.
2, 11, 491, 4549
What are the prime factors of 100361662?
2, 50180831
List the prime factors of 79724327.
7717, 10331
List the prime factors of 1080807237.
3, 23, 5221291
What are the prime factors of 911701202?
2, 71, 6420431
List the prime factors of 400453044.
2, 3, 19, 61, 28793
What are the prime factors of 176250041?
11, 1759, 9109
What are the prime factors of 2729537543?
719, 1901, 1997
List the prime factors of 431833576.
2, 53979197
List the prime factors of 1505123375.
5, 7, 311, 5531
What are the prime factors of 20832331?
13, 1602487
List the prime factors of 2344041243.
3, 17, 157, 97583
What are the prime factors of 49129850?
2, 5, 7, 11, 1823
List the prime factors of 260421825.
3, 5, 3472291
What are the prime factors of 38652610?
2, 5, 269, 14369
What are the prime factors of 375219775?
5, 7, 37, 167, 347
List the prime factors of 761071.
47, 16193
List the prime factors of 135593900.
2, 5, 13, 37, 2819
List the prime factors of 3723368864.
2, 116355277
List the prime factors of 960798222.
2, 3, 53377679
What are the prime factors of 56985726?
2, 3, 7, 239, 811
List the prime factors of 4509876935.
5, 233, 3871139
List the prime factors of 111046725.
3, 5, 493541
List the prime factors of 316639653.
3, 11, 2029, 4729
What are the prime factors of 285885848?
2, 35735731
What are the prime factors of 69672674?
2, 29, 607, 1979
What are the prime factors of 3027616666?
2, 17, 523, 170263
What are the prime factors of 5643787637?
37, 41, 3720361
List the prime factors of 65225766.
2, 3, 1231, 8831
List the prime factors of 5686186879.
431, 13193009
List the prime factors of 476582491.
7, 11, 19, 29, 47, 239
What are the prime factors of 390364956?
2, 3, 19, 197, 2897
What are the prime factors of 64671609?
3, 21557203
What are the prime factors of 355651430?
2, 5, 35565143
List the prime factors of 3634743236.
2, 1327, 684767
What are the prime factors of 950689115?
5, 107, 1776989
List the prime factors of 1273125355.
5, 163, 641, 2437
What are the prime factors of 23335689?
3, 13, 46027
List the prime factors of 802975678.
2, 23, 467, 37379
What are the prime factors of 100505608?
2, 7, 811, 2213
What are the prime factors of 11341729?
7, 1620247
What are the prime factors of 3719754974?
2, 13, 79, 1810981
List the prime factors of 52157055.
3, 5, 3477137
What are the prime factors of 500350214?
2, 7, 13, 113, 24329
What are the prime factors of 9212392016?
2, 31, 37, 16193
List the prime factors of 3469826949.
3, 19, 53, 61, 991
What are the prime factors of 1029804367?
1029804367
What are the prime factors of 145999947?
3, 673, 72313
List the prime factors of 4384439880.
2, 3, 5, 197, 185467
List the prime factors of 703576912.
2, 43973557
W | {
"pile_set_name": "DM Mathematics"
} |
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