*d**c + 49*d**5 + 24*d**4 - 11*d**4.
d**3*(7*d + 2)**2
Let s(h) = h + 11. Let f be s(-9). Let 7*z**f + z - 5*z - 11*z**2 = 0. What is z?
-1, 0
Let f(x) be the first derivative of -3*x**4/4 + 5*x**3 - 21*x**2/2 + 9*x + 156. Factor f(y).
-3*(y - 3)*(y - 1)**2
Let w(b) be the third derivative of -b**5/12 - 31*b**4/24 - b**3/3 + 18*b**2. Let k be w(-6). Factor -2/7*x**k + 2/7*x**2 + 0*x + 2/7*x**3 - 2/7*x**5 + 0.
-2*x**2*(x - 1)*(x + 1)**2/7
Solve -4/3*j + 4/3*j**3 - 4 - 1/3*j**4 + 13/3*j**2 = 0 for j.
-2, -1, 1, 6
Let n = -2973 - -2976. Factor -3/2*x**3 + n*x - 3 - 3/4*x**4 + 9/4*x**2.
-3*(x - 1)**2*(x + 2)**2/4
Let n = 5853841/45 - 130080. Let r = -41/9 + n. Factor 16/5*c + 24/5*c**2 + 16/5*c**3 + 4/5 + r*c**4.
4*(c + 1)**4/5
Let s be 1 + 34/21 - (470/(-141))/(-10). Factor -2/7*f**2 - 32/7 - s*f.
-2*(f + 4)**2/7
Let t = -31 - -35. Suppose -4*a + t*d + 13 = 1, 0 = d. Let 18*m**4 + 47*m - 20*m + 48*m**2 + 6 + m**5 + 42*m**a + 2*m**5 = 0. What is m?
-2, -1
Let q(z) be the third derivative of -2*z**2 - 1/70*z**7 + 0*z**6 + 0*z + 0*z**4 + 0*z**3 - 1/336*z**8 + 0 + 1/15*z**5. Let q(w) = 0. Calculate w.
-2, 0, 1
Let t(j) be the first derivative of -j**3 - 33*j**2/2 - 72*j + 87. Factor t(g).
-3*(g + 3)*(g + 8)
Let x(b) be the second derivative of b**4/132 + 4*b**3/11 + 72*b**2/11 + 15*b + 1. Factor x(j).
(j + 12)**2/11
Let l(h) be the first derivative of 1/8*h**2 - 1/16*h**4 - 1/12*h**3 + 39 + 1/4*h. Find c, given that l(c) = 0.
-1, 1
Let o(c) be the second derivative of c**4/96 - 43*c**3/24 + 85*c**2/16 - 15*c - 17. Factor o(s).
(s - 85)*(s - 1)/8
Solve 20*z + 162*z**3 - 5*z + 48*z**4 + 42*z - 14*z**5 + 168*z**2 + 11*z**5 = 0 for z.
-1, 0, 19
Let t(l) be the first derivative of -2*l**5/75 - l**4/10 + 16*l**3/15 - 28*l**2/15 - 383. Factor t(p).
-2*p*(p - 2)**2*(p + 7)/15
Let o(s) = s**3 - 15*s**2 - s + 19. Let w be o(15). Let q(u) be the first derivative of -3 - 1/2*u - 1/3*u**3 - 1/16*u**w - 5/8*u**2. Factor q(d).
-(d + 1)**2*(d + 2)/4
Let u be 2852/(-84) - (-6)/21. Let x = 34 + u. Solve x*h**3 - 1/3*h + 1/3 - 1/3*h**2 = 0 for h.
-1, 1
Let y(p) = p. Let t be y(3). Suppose 10 = -199*s + 201*s. Factor -h**2 - h**s + 64*h + h**t + h**4 - 64*h.
-h**2*(h - 1)**2*(h + 1)
Let b(u) be the second derivative of -16/27*u**3 - 8/3*u**2 + 1/45*u**5 + 0 - 20*u + 1/27*u**4. Solve b(t) = 0 for t.
-2, 3
Let g(h) be the third derivative of -h**7/280 - h**6/80 + h**5/80 + h**4/16 - 414*h**2. Factor g(n).
-3*n*(n - 1)*(n + 1)*(n + 2)/4
Suppose 3*c - 19 + 10 = 0. Suppose 0*u + c*x - 9 = 2*u, -3*u + 4*x - 11 = 0. Let -3*p**2 - p**2 + u*p + 29*p - 64 = 0. What is p?
4
Let m = 2254 + -216383/96. Let c(x) be the third derivative of 1/240*x**5 + 0 + 0*x**3 - m*x**4 + 0*x - 12*x**2. Find z, given that c(z) = 0.
0, 1
Suppose w + 9*u = 12, -9*w + 3*u - 18 = -14*w. Let 0 + w*b**3 - 27/2*b**4 - 3*b + 27/2*b**2 = 0. What is b?
-1, 0, 2/9, 1
Let j = 3275 + -3272. Factor -1/11*h**5 - 7/11*h**4 - 8/11*h + 0 - 18/11*h**j - 20/11*h**2.
-h*(h + 1)*(h + 2)**3/11
Factor 3/2*f**4 + 24*f**3 + 0 - 57/2*f**2 - 51*f.
3*f*(f - 2)*(f + 1)*(f + 17)/2
Let t(z) be the third derivative of -19*z**5/30 + 22*z**4 + 28*z**3/3 - 546*z**2. Factor t(i).
-2*(i - 14)*(19*i + 2)
Let j(y) be the first derivative of y**4/14 - 4*y**3/21 - y**2/7 + 4*y/7 + 188. Find v, given that j(v) = 0.
-1, 1, 2
Suppose -5*w + 30 = 5*p, 3*w + 0*p + 6 = 3*p. Let 8*s + 3*s**2 + 2*s**2 - s**w = 0. Calculate s.
-2, 0
Let o(j) be the second derivative of -8*j**7/21 - 38*j**6/15 + 9*j**5/5 + 19*j**4/3 - 10*j**3/3 + 108*j. Solve o(q) = 0.
-5, -1, 0, 1/4, 1
Let h(x) be the first derivative of -x**4/2 - 2*x**3/3 + x**2/2 + 2*x - 4. Let o be h(-2). Factor 2*i - 11*i**2 + 4*i**2 - 4*i**3 + 1 + o*i**3.
(i - 1)**2*(4*i + 1)
Let x(n) be the first derivative of 2*n**5/15 - 4*n**4/3 + 4*n**3 - 18*n - 17. Factor x(g).
2*(g - 3)**3*(g + 1)/3
Let b(x) be the second derivative of 4 + 3*x + 1/4*x**4 + 9/2*x**3 + 12*x**2. What is i in b(i) = 0?
-8, -1
Let s = -1/340 + 137/340. Let 4/5 + 7/5*c - 1/5*c**3 + s*c**2 = 0. What is c?
-1, 4
Let u(q) be the third derivative of -q**6/780 + 4*q**5/195 - q**4/12 + 2*q**3/13 + q**2 + 80*q. Solve u(m) = 0 for m.
1, 6
Let d(h) be the second derivative of -h**6/180 + 3*h**5/20 - 338*h. Solve d(w) = 0.
0, 18
Suppose -3*i = i + 2*d - 8, -24 = -5*i + d. Factor -2*v**5 - 7*v**4 + 16 - 22*v**3 - i*v - 8*v**2 + v**5 + 6*v**3 + 20*v.
-(v - 1)*(v + 2)**4
Suppose 71 = 14*t + 15. Suppose 5*m + 5*m = t*m. Factor 1/2*n**5 + 3/2*n**3 - 1/2*n**2 - 3/2*n**4 + 0 + m*n.
n**2*(n - 1)**3/2
Let o be 25998/(-4333)*(-1 - (-14)/15). What is i in 0 + o*i - 2/5*i**2 = 0?
0, 1
Let i(b) be the third derivative of 0*b**4 - 1/90*b**5 - 5*b**2 + 1/180*b**6 + 0*b + 0*b**3 + 0. Determine l, given that i(l) = 0.
0, 1
Let 4/5*r**2 + 0 + 68/5*r = 0. What is r?
-17, 0
Suppose 74 = -5*h + 14. Let y be h + 13 + 1/3. Determine n, given that 0*n**2 - 2*n**3 - 2/9*n**5 + 0*n - y*n**4 + 0 = 0.
-3, 0
Let p(z) be the second derivative of -z**7/14 - 2*z**6/5 - 3*z**5/5 + z**4/2 + 5*z**3/2 + 3*z**2 - 47*z. Factor p(s).
-3*(s - 1)*(s + 1)**3*(s + 2)
Let d(n) be the second derivative of -n**8/43680 + n**7/5460 - n**6/2340 - 11*n**4/12 - 36*n. Let c(b) be the third derivative of d(b). Factor c(v).
-2*v*(v - 2)*(v - 1)/13
Let x = 26534/9 - 2948. Factor x*o**2 + 0 - 8/9*o.
2*o*(o - 4)/9
Let m(f) be the second derivative of 10201*f**4/3 - 404*f**3/3 + 2*f**2 + f + 1. Suppose m(v) = 0. What is v?
1/101
Let p(m) be the first derivative of -m**6/15 - m**5/5 + m**4/2 + 14*m - 43. Let c(q) be the first derivative of p(q). Find i, given that c(i) = 0.
-3, 0, 1
Factor 1/7*h**2 + 0 + 58/7*h.
h*(h + 58)/7
Solve 34/3*o**3 - 34/3*o - 28 + 2/3*o**4 + 82/3*o**2 = 0 for o.
-14, -3, -1, 1
Solve -3/5*h**4 + 324/5*h - 324/5 - 24/5*h**3 + 27/5*h**2 = 0.
-6, 1, 3
Let c(v) = v + 14. Let h be c(-8). Suppose 0 = -12*z + 11*z + h. Factor 2*i**3 - z*i**3 + 2 - 20*i - 16*i**2 - 10.
-4*(i + 1)**2*(i + 2)
Let k be 305/(-35) - 10/35. Let q be (-38)/(-171)*k/(-1). Solve 1/6 + 1/3*z + 1/6*z**q = 0.
-1
Suppose 2 = -3*c + 2*c + 3*o, -c = 5*o + 34. Let g = -12 - c. Find i, given that 1/2*i**3 - i**4 + 1/2*i + 3*i**g - 1 = 0.
-1, 1/2, 2
Let c(z) be the first derivative of 43 - 320/3*z**3 - 45*z + 120*z**2. Factor c(a).
-5*(8*a - 3)**2
Let u be -4 + (0 - -10)/(252/210) - 4. Factor -22/3*a - 121/3 - u*a**2.
-(a + 11)**2/3
Let m be (-3)/(-12)*(71 + -59). Factor 5/2*f**m + 20*f - 6 - 27/2*f**2.
(f - 3)*(f - 2)*(5*f - 2)/2
Let x = -1807 - -1823. Let r(u) be the first derivative of -47/2*u**4 + 29*u**3 + 7*u**5 + 4*u - x*u**2 + 8. Suppose r(z) = 0. What is z?
2/7, 2/5, 1
Let r(o) = -3*o**3 + 45*o**2 + 48*o - 6. Let j(z) = 2. Let l(t) = 3*j(t) + r(t). Solve l(f) = 0.
-1, 0, 16
Let n(j) = j - 12. Let y be n(-12). Let w = y - -36. Suppose 18*l + 0*l**2 - w*l + l**4 - 3*l**2 - 8*l = 0. Calculate l.
-1, 0, 2
Let i(w) be the third derivative of -w**7/1470 + 17*w**6/420 + 73*w**5/420 - 17*w**4/84 - 12*w**3/7 - 341*w**2. Find x, given that i(x) = 0.
-2, -1, 1, 36
Let 0 - 1/11*j**3 - 2/11*j - 3/11*j**2 = 0. Calculate j.
-2, -1, 0
Let z(c) be the second derivative of c**4/12 + 35*c**3/3 + 1225*c**2/2 + c - 34. Determine d so that z(d) = 0.
-35
Suppose -2210*k = 3*r - 2205*k - 9, -5*k = 0. Suppose 0 - 15*u**2 + 100/3*u**r + 5/3*u = 0. What is u?
0, 1/5, 1/4
Let i(u) be the first derivative of 2*u**3/15 - 14*u**2/5 - 64*u/5 + 220. Find p such that i(p) = 0.
-2, 16
Let r be -2*2*20/4*(-3)/15. Find o such that 16/3*o**2 - 2/3*o**5 - 8/3*o**r + 4/3*o**3 - 8/3 - 2/3*o = 0.
-4, -1, 1
Let g(j) be the first derivative of 2*j**5/15 - 3*j**4 + 32*j**3/3 - 46*j**2/3 + 10*j - 66. Factor g(q).
2*(q - 15)*(q - 1)**3/3
Let h(i) be the second derivative of -5*i**7/42 - 7*i**6/6 + 17*i**5/4 - 15*i**4/4 - 145*i. Factor h(z).
-5*z**2*(z - 1)**2*(z + 9)
Let g(x) be the second derivative of -x**5/10 - 3*x**4/4 - 2*x**3 - 2*x**2 + 73*x. Factor g(q).
-(q + 2)**2*(2*q + 1)
Let z(r) = r**3 + 5*r**2 - r - 5. Let x = 13 + -18. Let c be z(x). Find i such that -4/11*i**2 + 4/11*i**4 + 0 - 2/11*i + 2/11*i**5 + c*i**3 = 0.
-1, 0, 1
Let t(p) be the first derivative of -3/4*p - 33/8*p**4 - 21/8*p**2 - 3/8*p**6 - 39/20*p**5 - 1 - 9/2*p**3. Solve t(d) = 0.
-1, -1/3
Find x, given that -7*x - 330*x**2 - 3 + x**3 + 328*x**2 - 1 = 0.
-1, 4
What is f 