*x**3 + 0 + 3/4*x**v + 3/2*x**4.
3*x**3*(x + 1)**2/4
Let l(a) be the second derivative of 0 + 0*a**3 - 2/21*a**7 - 4/15*a**6 + 0*a**2 + 0*a**4 - 1/5*a**5 - 11*a. Factor l(z).
-4*z**3*(z + 1)**2
Let x be (-9)/(-2)*436/981. Let q(c) be the first derivative of 1/16*c**4 + 0*c + 1/12*c**3 + 11 - 1/4*c**x. What is s in q(s) = 0?
-2, 0, 1
Let o(m) be the third derivative of 5*m**8/2016 + m**7/252 - m**6/72 + 47*m**2. Find k such that o(k) = 0.
-2, 0, 1
Let v be ((-16)/(-20))/(8/40). Factor -1503*j + 1531*j + 5*j**4 - j**4 - v*j**2 - 28*j**3.
4*j*(j - 7)*(j - 1)*(j + 1)
Let j(x) be the first derivative of x**3 - 15*x**2/2 - 42*x - 49. Solve j(z) = 0 for z.
-2, 7
Let y(c) = -3*c**3 - 46*c**2 - 243*c - 4. Let q(z) = 12*z**3 + 186*z**2 + 972*z + 15. Let w(i) = -4*q(i) - 15*y(i). Suppose w(n) = 0. What is n?
-9, 0
Let q(h) be the second derivative of 0 + 0*h**2 - 1/21*h**4 + 1/70*h**5 + 0*h**3 - 22*h. Determine x so that q(x) = 0.
0, 2
Let c = -23 + 25. Factor -25*m**2 - 2 - 1 + c*m + 18*m - 1.
-(5*m - 2)**2
Let c(q) be the second derivative of -2/7*q**3 + 3/140*q**5 - 6/7*q**2 + 1/28*q**4 + 21*q + 0. Factor c(h).
3*(h - 2)*(h + 1)*(h + 2)/7
Suppose 107 = 3*q - 79. Find g such that -q + 6*g**4 + 18*g**4 + 56 + 9*g - 60*g**3 + 18*g**2 + 6*g = 0.
-1/2, 1/2, 2
Let c(l) be the second derivative of l**6/120 + 3*l**5/16 + 2*l**4/3 - 2*l**3 + 60*l. Suppose c(h) = 0. What is h?
-12, -4, 0, 1
Let x(f) be the third derivative of 2*f**7/105 + f**6/5 + 4*f**5/5 + 4*f**4/3 + 63*f**2. Determine a, given that x(a) = 0.
-2, 0
Let a = 40 - 30. Factor 10*h**3 - a*h + 11*h**2 - h**4 - 4*h**4 - 6*h**2.
-5*h*(h - 2)*(h - 1)*(h + 1)
Suppose 472*m + 5*m**4 + 10*m**2 - 20*m**3 - 924*m + 2 + 472*m - 17 = 0. What is m?
-1, 1, 3
Suppose 65 + 43 = 33*h - 6*h. Factor 0 + 3/4*s**h + 9/2*s**3 + 27/4*s**2 + 3*s.
3*s*(s + 1)**2*(s + 4)/4
Let t(b) be the third derivative of 0*b + 0 + 1/180*b**6 + 1/60*b**4 - 7/450*b**5 - 7*b**2 + 0*b**3 - 1/1575*b**7. Factor t(q).
-2*q*(q - 3)*(q - 1)**2/15
Suppose -2*u - 4*u - 24 = 0. Let n be (-26)/u - (-14)/28. Factor s**3 - 1 + 1 - 2*s**2 + 8*s - n*s.
s*(s - 1)**2
Let f(m) be the second derivative of 3/8*m**5 + 25*m + 0 - 3/8*m**4 - 1/2*m**3 + 0*m**2. Let f(q) = 0. Calculate q.
-2/5, 0, 1
Suppose 1682/9 + 116/9*q + 2/9*q**2 = 0. What is q?
-29
Let v(j) be the third derivative of 23*j**5/75 + 11*j**4/120 - j**3/10 - j**2 - 55. Suppose v(p) = 0. What is p?
-1/4, 3/23
Let u be 10/4 + 6/(-12). Suppose 2*v - p = 3, -45 = 2*p - 51. Factor -u*x**2 - 5/8*x + 1/4 - 9/8*x**v.
-(x + 1)**2*(9*x - 2)/8
Suppose -7*o + 31 - 10 = 0. Solve 60*h - 10*h**o - 4*h**3 + 30*h**3 - 15*h**5 + 23*h**3 + 21*h**4 - 12 - 93*h**2 = 0.
-2, 2/5, 1
Let l = 156/979 - -2/89. Let m be 12/(-14)*(-175)/75. Determine y so that 4/11 - l*y**3 + 8/11*y**m - 10/11*y = 0.
1, 2
What is b in -1/2*b**2 + b - 1/4*b**4 + 3/4 - b**3 = 0?
-3, -1, 1
Let w(j) = -j**2 - 11*j - 10. Let d be w(-7). Let r = d - 14. Factor 14/13*b - 18/13*b**2 + 10/13*b**3 - 2/13*b**r - 4/13.
-2*(b - 2)*(b - 1)**3/13
Let k = 33 + -9. Factor 37*s - 4 - 11 - 25*s - k*s + 3*s**2.
3*(s - 5)*(s + 1)
Let s(g) be the third derivative of 0*g + 0*g**3 + 1/24*g**4 + 0 - 1/120*g**5 + 12*g**2. Factor s(w).
-w*(w - 2)/2
Let z = 22 + -10. Let f be 18/9 + 2/2. What is o in -15*o - 10*o**3 + 12*o**3 + 6 - 5*o**f + z*o**2 = 0?
1, 2
Let f(r) be the third derivative of -15*r**2 - 19/840*r**6 - 2/21*r**3 - 25/2352*r**8 + 0 + 23/420*r**5 + 1/21*r**4 - 11/294*r**7 + 0*r. Factor f(g).
-(g + 1)**3*(5*g - 2)**2/7
Let a(y) be the first derivative of -y**6/180 + 3*y**5/10 - 27*y**4/4 + 3*y**3 - 27. Let z(w) be the third derivative of a(w). Factor z(f).
-2*(f - 9)**2
Let b(p) be the second derivative of -p**7/98 + 9*p**6/70 - 39*p**5/70 + 5*p**4/7 + 12*p**3/7 - 48*p**2/7 + 3*p + 278. Suppose b(g) = 0. What is g?
-1, 2, 4
Let i = -39 + 41. Let p(x) = -x**2 + 5*x - 2. Let d be p(4). Factor -d*l**5 - 54*l**3 - 28*l**4 - i*l**5 + 10*l**4 + 2*l**5 - 54*l**2.
-2*l**2*(l + 3)**3
Let s(z) be the second derivative of 5*z**4/12 + 5*z**3/2 - 10*z**2 - 3*z + 7. Find l such that s(l) = 0.
-4, 1
Let d = 1187/2378 - -1/1189. Factor d + m - 5/8*m**2.
-(m - 2)*(5*m + 2)/8
Suppose 29*t + 9*t - 131 = 21. Factor -1/8*i + 3/8*i**2 + 0 + 1/8*i**t - 3/8*i**3.
i*(i - 1)**3/8
Let v = -21706 + 412416/19. Factor 0 + 0*t + 4/19*t**2 - v*t**3.
-2*t**2*(t - 2)/19
Find l, given that -2*l**4 + 0 + 14/9*l**5 + 0*l + 8/9*l**2 - 8/3*l**3 = 0.
-1, 0, 2/7, 2
Factor 392*h + 1670 + 2*h**3 - h**3 - 1751 + 1453 + 35*h**2.
(h + 7)*(h + 14)**2
Suppose 65*m = 104 + 26. Let r = -14 - -29/2. Find h, given that h + 0 + 3/2*h**m + r*h**3 = 0.
-2, -1, 0
Let k(a) = -a**2 + 13*a + 2. Let j(u) = -u**2 + 14*u + 3. Let v be ((-616)/16)/(-11) - 2/4. Let h(f) = v*k(f) - 2*j(f). Factor h(b).
-b*(b - 11)
Let o(w) be the third derivative of 0*w + 0*w**7 + 0*w**3 + 0*w**4 + 1/112*w**8 + 0 - 8*w**2 + 0*w**5 - 1/40*w**6. Factor o(l).
3*l**3*(l - 1)*(l + 1)
Let b(i) be the second derivative of -i**9/3024 + i**8/840 + 25*i**3/6 - 32*i. Let u(s) be the second derivative of b(s). Factor u(x).
-x**4*(x - 2)
Let s(y) be the first derivative of y**4/22 + 52*y**3/33 + 49*y**2/11 + 48*y/11 - 271. Let s(n) = 0. Calculate n.
-24, -1
Let n(h) = 7*h**2 + 17*h + 128. Let x(c) = 20*c**2 + 54*c + 384. Let p(u) = -14*n(u) + 5*x(u). Factor p(g).
2*(g + 8)**2
Factor 1/6*k**3 - 13/6*k**2 + 1/6*k**4 - 2 - 25/6*k.
(k - 4)*(k + 1)**2*(k + 3)/6
Find m such that 0 + 4/9*m**3 + 0*m - 4/9*m**5 + 2/9*m**2 - 2/9*m**4 = 0.
-1, -1/2, 0, 1
Suppose u + 2*m - 7*m + 12 = 0, 0 = 4*u + 5*m - 27. Suppose u*w + 1 = 7. Factor -1/4*i**w - 1/4*i + 1/4*i**3 + 1/4*i**4 + 0.
i*(i - 1)*(i + 1)**2/4
Let n(l) be the second derivative of 2*l**5/15 - l**4/18 - 3*l + 21. Suppose n(r) = 0. What is r?
0, 1/4
Let 3/11*s**2 - 2*s + 35/11 = 0. Calculate s.
7/3, 5
Suppose 2*y = -5*f - 16 - 4, -16 = 2*y + 4*f. Let c(p) be the third derivative of 0 + y*p**5 + 3*p**2 + 0*p**3 + 1/60*p**6 + 0*p - 1/12*p**4. Factor c(o).
2*o*(o - 1)*(o + 1)
Let i = -95 + 95. Let d be (-6)/8*-3 + (0 - i). Determine o so that 7/4*o**4 + 15/4*o**3 + 0 + 0*o + 1/4*o**5 + d*o**2 = 0.
-3, -1, 0
Suppose 5*y - 35 = 10. Let r be (-15)/y - (-5)/3. Suppose 2/9*c**3 - 2/9*c**2 + r - 4/9*c = 0. Calculate c.
-1, 0, 2
Let n(c) = 8*c - 7*c - 2 + 2. Let m(j) = -j**3 - 8*j**2 - 21*j - 12. Let o(f) = 3*m(f) + 6*n(f). Factor o(y).
-3*(y + 1)*(y + 3)*(y + 4)
Let b(x) = -2*x**3 - 4*x**2 + 4*x - 30. Let p(n) = n**2 + n + 6. Let q(y) = -2*b(y) - 12*p(y). Factor q(h).
4*(h - 3)*(h + 1)**2
Let s(b) be the first derivative of -73*b**2 + 70*b**2 + b**3 - 7 + 7 + 12. What is t in s(t) = 0?
0, 2
Suppose 26 = -262*o + 275*o. Let 0*r + 3/8*r**4 + 3/8*r**3 + 0 + 1/8*r**o + 1/8*r**5 = 0. Calculate r.
-1, 0
Let k(l) be the third derivative of -l**10/90720 - l**9/45360 - l**4/4 - l**3/6 - 23*l**2. Let t(h) be the second derivative of k(h). Solve t(p) = 0 for p.
-1, 0
Let t be ((-76)/(-38))/(0 + 2)*4. Find f, given that 24*f + 28/3*f**3 + 27*f**2 + 16/3 + f**t = 0.
-4, -1, -1/3
Let n = -6 + 8. Let h be (2 - 204/140) + n/(-5). Factor 1/7*l**2 - h*l - 2/7.
(l - 2)*(l + 1)/7
Let l(j) be the third derivative of j**5/15 - 4*j**4 + 46*j**3/3 - 168*j**2 - 1. Factor l(k).
4*(k - 23)*(k - 1)
Let r(g) be the first derivative of -2*g**5/15 - 14*g**4/3 + 20*g**3 - 92*g**2/3 + 62*g/3 + 165. Factor r(f).
-2*(f - 1)**3*(f + 31)/3
What is t in -5/3*t**2 + 1/3*t**4 + 4/3 + 5/3*t**3 - 1/3*t**5 - 4/3*t = 0?
-2, -1, 1, 2
Suppose 0 = -k + 3 - 5. Let i be (1/(-10))/(k/45). Factor 3/4*n**2 - i + 3/2*n.
3*(n - 1)*(n + 3)/4
Let m be (-11)/55*-25 - (1 - 70/(-25)). Let 3/5*z**3 + 0*z - m*z**2 + 0 = 0. What is z?
0, 2
Let h(u) be the third derivative of 2*u**7/105 - 31*u**6/30 - u**5/15 + 31*u**4/6 - 228*u**2 - u. Suppose h(y) = 0. Calculate y.
-1, 0, 1, 31
Let t be ((-16)/14)/(-22*7/77). Factor -t*z**2 + 40/7*z - 100/7.
-4*(z - 5)**2/7
Let q(y) be the second derivative of -1/150*y**5 + 15*y + 0 + 0*y**2 - 1/30*y**4 - 2/45*y**3. Factor q(r).
-2*r*(r + 1)*(r + 2)/15
Let p(o) be the third derivative of o**6/40 - 4*o**5/15 + 17*o**4/24 - 2*o**3/3 + 34*o**2. Solve p(n) = 0.
1/3, 1, 4
Let s = -138443/9 - -15385. Factor 2/9*w**3 + 50/9 + s*w**2 + 70/9*w.
2*(w + 1)*(w + 5)**2/9
Let a(o) = -40*o - 33. Let l be a(-1). Let h(r) be the second derivative of 0 