2/4
Suppose 0 = 3*h - 2*h - n - 7, -5*h - 4*n = 10. Suppose 0 - 2/5*g**h + 2/5*g = 0. What is g?
0, 1
Let v(a) be the first derivative of 1/8*a**4 + 0*a + 5/12*a**6 + 0*a**2 + 4/5*a**5 - 1/3*a**3 - 3. Factor v(f).
f**2*(f + 1)**2*(5*f - 2)/2
Let u be 6 - (4 - 3 - -1). Factor 8*t**u - 4*t**5 + t**3 + 17*t**5 + 3*t**5.
t**3*(4*t + 1)**2
Factor -9 - 10 + 140*t**3 + 68*t - 4 - 44*t**4 + 15 - 156*t**2.
-4*(t - 1)**3*(11*t - 2)
Let u(h) = -10*h**2 - 115*h - 610. Let f(w) = 11*w**2 + 116*w + 611. Let l(m) = -5*f(m) - 6*u(m). Factor l(n).
5*(n + 11)**2
Factor -3/7*u**3 + 0*u + 3/7*u**2 + 0.
-3*u**2*(u - 1)/7
Suppose 10 = -2*p - 4*f, 2*f + 9 = -p - f. Let v(z) be the first derivative of -p + 0*z**2 + 3/5*z**3 - 12/5*z - 3/20*z**4. Suppose v(g) = 0. What is g?
-1, 2
Let b = 78 + -73. Let n(o) be the second derivative of 12/5*o**b - 16/3*o**6 - 4/5*o**2 + 0 - 4/5*o**3 + 71/30*o**4 + 3*o. Factor n(r).
-2*(4*r + 1)**2*(5*r - 2)**2/5
Let g(s) be the first derivative of -3*s**4/8 - 2*s**3 - 9*s**2/4 + 12. Determine k so that g(k) = 0.
-3, -1, 0
Suppose -f - 13*k + 18*k = 7, 0 = -2*f + 3*k. Find o such that 0 - 4/3*o**4 + 0*o**f + 2/3*o**5 - 2/3*o + 4/3*o**2 = 0.
-1, 0, 1
What is t in 23/2*t**2 + 3*t + 0 + 7/2*t**3 = 0?
-3, -2/7, 0
Let k(z) = -5*z**2 + 48*z + 23. Let f be k(10). Factor -1/2*o**2 + 0*o + 3/2*o**f - 2*o**5 + 0 + 0*o**4.
-o**2*(o + 1)*(2*o - 1)**2/2
Let t = 471/4 + -117. Factor 0 - t*j - 3/4*j**2.
-3*j*(j + 1)/4
Let f = 1/263 - -787/526. Factor q**3 + 1/2*q**5 + 3/2*q**4 - 1/2 - f*q - q**2.
(q - 1)*(q + 1)**4/2
Let c be (-1)/(-4) + 15/4. Suppose -4*q + 6 + 6 = 0. What is s in -2*s + c*s - q*s - 50*s**3 + 40*s**2 - 7*s = 0?
0, 2/5
Let y(c) be the second derivative of c**6/80 + 3*c**5/40 + c**4/8 + 2*c**2 - 7*c. Let p(w) be the first derivative of y(w). Factor p(t).
3*t*(t + 1)*(t + 2)/2
Let c(g) be the first derivative of g**6/3 + 16*g**5/15 - 4*g**4/3 - 28*g**3/9 + 5*g**2/3 + 4*g + 36. Suppose c(r) = 0. What is r?
-3, -1, -2/3, 1
Let u be ((-3)/9 + 0)/((-2)/3). Factor 0*j**2 + 0 + 0*j**3 + u*j**5 + 1/2*j**4 + 0*j.
j**4*(j + 1)/2
Factor -9*u**2 - 3 + 2*u**3 + u**3 + 4*u**3 + 9*u - 4*u**3.
3*(u - 1)**3
Let o(y) be the second derivative of y**7/420 + y**6/45 + y**5/20 - 2*y**3/3 - 5*y. Let p(u) be the second derivative of o(u). Determine l so that p(l) = 0.
-3, -1, 0
Let p = -38 + 22. Let y be p/(-10) + 4/10. Let 0 + 1/2*b**y + b = 0. What is b?
-2, 0
Let w(a) be the third derivative of 0 + 0*a + 7/660*a**6 + 1/66*a**4 + 3/110*a**5 - 5*a**2 + 0*a**3. Factor w(c).
2*c*(c + 1)*(7*c + 2)/11
Let a = -37 - -40. Let j(r) be the second derivative of 0 - 1/3*r**3 - 1/6*r**4 - a*r + 0*r**2. Factor j(p).
-2*p*(p + 1)
Let g(t) be the third derivative of -t**7/350 - t**6/200 + 3*t**5/100 + t**4/8 + t**3/5 + t**2 - 4*t. Determine j, given that g(j) = 0.
-1, 2
Let w(s) be the first derivative of -8*s**6 + 24*s**5/5 + 117*s**4/4 + 17*s**3 + 3*s**2 - 11. Let w(o) = 0. What is o?
-1, -1/4, 0, 2
Let z(i) = -i. Let s(f) = -f**2 - f + 4. Let q(d) = s(d) - 4*z(d). Factor q(w).
-(w - 4)*(w + 1)
Let l be 228/(-108)*6/(-4). Let i = l + -5/3. Factor 0 + 0*q**2 + 0*q - i*q**5 - 3*q**4 - 3/2*q**3.
-3*q**3*(q + 1)**2/2
Let m be 36/24*8/6. Let 1/2*i**3 + 0*i**m - 3/2*i + 1 = 0. Calculate i.
-2, 1
Let b(i) = -i**2 - i + 1. Let m(a) = 5*a**2 + 2*a - 4. Let q(s) = 4*b(s) + m(s). Factor q(x).
x*(x - 2)
Let k(n) be the second derivative of -n**5/180 + n**4/72 + 2*n**2 + 5*n. Let x(o) be the first derivative of k(o). Factor x(b).
-b*(b - 1)/3
Find p such that -3/4*p**4 - 1/4*p + 5/4*p**3 - 1/4*p**2 + 0 = 0.
-1/3, 0, 1
Let r(i) be the first derivative of -i**6/120 + 4*i**3/3 - 4. Let q(o) be the third derivative of r(o). Let q(d) = 0. Calculate d.
0
Suppose -3 = -3*w + 9. Factor -q**4 - 4*q - 3*q**3 - 4*q + w*q - 3*q**2 + 3*q.
-q*(q + 1)**3
Let r(h) = -186*h + 2*h**2 + 188*h + 3*h**2. Suppose 4*j - 3*c + 34 + 2 = 0, 0 = 2*j + 3*c. Let m(b) = -b**2. Let q(u) = j*m(u) - r(u). What is k in q(k) = 0?
0, 2
Let c = -1 + 9. Let q = -8 + c. What is b in q - 2/3*b**2 + 4/3*b = 0?
0, 2
Let x = -125 - -125. Factor 0*v**3 + 0*v - 3/4*v**5 - 3/4*v**4 + x + 0*v**2.
-3*v**4*(v + 1)/4
Let t(q) = 66*q**2 - 94*q + 44. Let z(v) = 44*v**2 - 63*v + 29. Let c(s) = -5*t(s) + 8*z(s). Factor c(y).
2*(y - 1)*(11*y - 6)
Let w = -323 + 1619/5. Factor 16/5*f - w*f**2 - 16/5.
-4*(f - 2)**2/5
Let f(b) = -b**3 + 7*b**2 + 10*b - 10. Let z be f(8). Let g = z - 4. What is u in 0 + 6*u**2 - 1 - 5*u**g = 0?
-1, 1
Let r(z) be the first derivative of z**2/2 - 6*z + 4. Let m be r(8). Suppose -3*x + 2 + 10*x**3 - 2*x**2 + m*x - 9*x**3 = 0. Calculate x.
-1, 1, 2
Suppose 4*l - 20 = -0. Suppose 1 = 5*f + 6*h - 3*h, 0 = f - l*h - 17. Factor -1/4 - 1/2*s - 1/4*s**f.
-(s + 1)**2/4
Let w(c) be the third derivative of c**8/3360 - c**7/840 + c**5/120 - c**4/48 - c**3/6 + 2*c**2. Let p(j) be the first derivative of w(j). Factor p(q).
(q - 1)**3*(q + 1)/2
Let h(o) be the second derivative of o**8/4200 + o**7/700 + o**6/300 + o**5/300 - o**3 - 2*o. Let i(z) be the second derivative of h(z). Factor i(f).
2*f*(f + 1)**3/5
Let l(f) be the first derivative of -f**6/51 + 3*f**4/34 + 4*f**3/51 + 14. Factor l(m).
-2*m**2*(m - 2)*(m + 1)**2/17
Let d(z) be the third derivative of -z**8/192 + 19*z**7/840 + z**6/80 - 7*z**5/60 - z**4/12 - 2*z**2. Find s such that d(s) = 0.
-1, -2/7, 0, 2
Let c = 829/3 - 275. Determine x so that 0*x + 4/3*x**2 - c = 0.
-1, 1
Let m(t) = -t**3 + 3*t**2 + 4*t + 3. Let n be m(4). Factor -i**n + 8/3*i**2 - 7/3*i + 2/3.
-(i - 1)**2*(3*i - 2)/3
Let y be 1 + (-5*6/(-15))/(-2). Factor 0 + 2/3*a**3 + y*a + 2/3*a**2.
2*a**2*(a + 1)/3
Let k = 83399/95 - 4381/5. Factor k*n**3 - 80/19*n**2 - 4/19 + 34/19*n.
2*(n - 2)*(4*n - 1)**2/19
Solve 5*m**2 - 14*m**2 + 3*m**2 + 2*m + 4*m**2 = 0.
0, 1
Let w(x) be the second derivative of x**6/2340 + x**5/390 + x**4/156 - x**3/2 + 3*x. Let y(o) be the second derivative of w(o). Find t such that y(t) = 0.
-1
Let s(v) be the first derivative of -2*v**5/45 - 7*v**4/18 - 4*v**3/3 - 20*v**2/9 - 16*v/9 - 4. Factor s(f).
-2*(f + 1)*(f + 2)**3/9
Suppose 0 = -3*r - 4*i + 8, 5*i - 3 = 4*r + 7. Suppose r = -2*d + 9 - 1. Let 2/3*c**5 - 2/3*c**d - 2/3*c**3 + 0 + 0*c + 2/3*c**2 = 0. What is c?
-1, 0, 1
Let i(v) = v**3 - 2*v - 1. Let g be i(2). What is p in -3*p**2 + p**2 - p + g*p**2 = 0?
0, 1
Let s(v) be the third derivative of -v**9/3024 + v**8/560 - v**7/280 + v**6/360 + v**3/6 - 5*v**2. Let w(f) be the first derivative of s(f). Factor w(n).
-n**2*(n - 1)**3
What is s in 8/7*s**2 - 2/7*s**3 - 10/7*s + 4/7 = 0?
1, 2
Let q(y) be the first derivative of y**7/420 - y**6/240 - y**5/40 + y**4/48 + y**3/6 - 3*y**2/2 + 2. Let t(b) be the second derivative of q(b). Factor t(g).
(g - 2)*(g - 1)*(g + 1)**2/2
Let f(r) be the second derivative of -3*r**2 + 0 + 5*r - 1/10*r**6 + 3/4*r**4 - 1/2*r**3 + 3/20*r**5. Solve f(b) = 0 for b.
-1, 1, 2
Let a(s) be the second derivative of s**4/24 - s**3/6 + 6*s. Suppose a(n) = 0. What is n?
0, 2
Let i(j) be the third derivative of -j**7/420 - j**6/40 - 13*j**5/120 - j**4/4 - j**3/3 + 23*j**2. Determine c so that i(c) = 0.
-2, -1
Suppose 17*d - 27*d + 20 = 0. What is v in -2/7*v**d - 2/7*v + 4/7 = 0?
-2, 1
Let h(j) = -3*j**4 + 9*j**3 - 6*j**2 - 6*j - 6. Let i(l) = l**4 - l**3 + l**2 + l + 1. Let g(s) = -h(s) - 6*i(s). Factor g(r).
-3*r**3*(r + 1)
Let m(a) be the first derivative of a**6/6 + 2*a**5/5 - 2*a**3/3 - a**2/2 + 3. Determine w so that m(w) = 0.
-1, 0, 1
Let f(z) = 3*z - 29. Let x be f(11). Let w(t) be the third derivative of 0 + 1/540*t**6 - 1/27*t**3 + 1/270*t**5 + t**2 + 0*t - 1/108*t**x. Factor w(a).
2*(a - 1)*(a + 1)**2/9
Let y(c) be the third derivative of c**8/84 + 8*c**7/105 + 2*c**6/15 - 4*c**2 + 5*c. Factor y(h).
4*h**3*(h + 2)**2
Let f(p) be the third derivative of 0*p**3 - 1/1008*p**8 + 7*p**2 + 0 + 0*p + 0*p**6 + 1/630*p**7 + 0*p**5 + 0*p**4. Factor f(m).
-m**4*(m - 1)/3
Let y be -2 + 4*1/1. Let z(v) be the first derivative of -2 - y*v**2 + 2/3*v**3 + 2*v. Factor z(m).
2*(m - 1)**2
Solve 4*y + 4/5 - 33/5*y**4 - 18/5*y**5 - 2/5*y**3 + 29/5*y**2 = 0.
-1, -2/3, -1/2, 1
Let j = 207/10 - 41/2. Let o(c) be the first derivative of -3 + 1/10*c**4 + j*c**2 + 4/15*c**3 + 0*c. Factor o(a).
2*a*(a + 1)**2/5
Let z(i) be the second derivative of 5*i**4/66 + 43*i**3/