 - j**5/10 + j**4/3 - 17*j. Factor r(g).
-2*g**2*(g - 1)*(g + 2)
Let c = 71/108 - 17/108. Solve -a - 1/2*a**2 - c = 0 for a.
-1
Let n(i) = 7*i**2 + 150*i - 83. Let k be n(-22). Solve -2/3*s**3 - 5/6*s**4 - 1/3*s**k + 0 + 0*s - 1/6*s**2 = 0 for s.
-1, -1/2, 0
Let x(m) be the first derivative of -59 + 3/8*m**4 + 3/10*m**5 + 0*m - m**3 + 0*m**2. Factor x(b).
3*b**2*(b - 1)*(b + 2)/2
Let 0 + 0*r - 2/7*r**3 + 0*r**2 = 0. Calculate r.
0
Let d be (1 - (-6 - -9)) + 3 + -1. Factor -8*g**4 - 3*g + 3*g + d*g**5 - 2*g**5.
-2*g**4*(g + 4)
Let p be (-3 - (-93)/30)/((-1)/(-28)). Let 26/5*v**2 - 12/5 + 38/5*v**3 - p*v**4 - 38/5*v = 0. What is v?
-1, -2/7, 1, 3
Suppose -6*i = 3*i. Find c, given that 0*c**3 + c**4 - 2*c**3 + i*c**4 = 0.
0, 2
Let t(v) be the first derivative of 42 + 8/11*v**2 - 1/33*v**6 - 2/33*v**3 - 8/11*v + 2/11*v**5 - 7/22*v**4. Let t(q) = 0. What is q?
-1, 1, 2
Let l(p) = -p + 4. Let u(d) = -d**3 - 7*d**2 - 7*d - 6. Let n be u(-6). Let y be l(n). Factor 2*i**2 - 34*i**4 - 3*i**5 - i**5 + 2*i**2 + 30*i**y + 4*i**3.
-4*i**2*(i - 1)*(i + 1)**2
Let 4/3*a**5 - 64/3*a**3 + 0 + 0*a - 4*a**4 - 16*a**2 = 0. What is a?
-2, -1, 0, 6
Let c(j) be the third derivative of j**6/60 - 8*j**5/105 + j**4/21 + 13*j**2 - 1. Factor c(n).
2*n*(n - 2)*(7*n - 2)/7
Let w(v) be the second derivative of v**5/15 - 7*v**4/9 + 20*v**3/9 + 238*v. Factor w(z).
4*z*(z - 5)*(z - 2)/3
Factor -3*v**3 + 5*v**3 - 4*v - 37*v + 6*v - 16*v**2 - 5*v.
2*v*(v - 10)*(v + 2)
Let f(a) be the first derivative of 2/3*a**3 - 2 - 2/5*a**5 + 0*a - 1/2*a**4 + a**2. Find c, given that f(c) = 0.
-1, 0, 1
Suppose -154 = -58*i + 8*i - 54. Factor -3/7*k**4 + 12/7*k**3 + 0 - 15/7*k**i + 6/7*k.
-3*k*(k - 2)*(k - 1)**2/7
Let d(v) = 5*v**2 - 6*v + 8. Let c be d(-14). What is x in -5038*x - 4320 - 110*x**4 - c*x - 3600*x**2 - 5*x**5 - 920*x**3 - 370*x = 0?
-6, -2
Suppose -7722*y = -7719*y. Factor y*l**2 + 0*l - 4/3*l**3 + 0.
-4*l**3/3
Suppose -180*h**5 + 190*h**5 + 9*h**2 - 26*h**4 + 31*h**2 - 12*h**3 + 16*h = 0. Calculate h.
-1, -2/5, 0, 2
Let c be -7 + 11 + 1 + 0. Let w(x) be the first derivative of 2/3*x**3 + 0*x - c - 3*x**2. Solve w(t) = 0.
0, 3
Factor -800 + 2*s**3 + 2*s**2 - 14*s**2 + 848 - 8*s.
2*(s - 6)*(s - 2)*(s + 2)
Suppose -2/3*c**3 - 194/3*c - 100/3*c**2 - 32 = 0. What is c?
-48, -1
Factor 9/4*h + 2 + 1/4*h**2.
(h + 1)*(h + 8)/4
Let h(o) be the third derivative of o**8/1512 - o**7/315 - o**6/108 + o**5/90 + o**4/27 - 5*o**2 + 25. Find i such that h(i) = 0.
-1, 0, 1, 4
Let a(c) = 8*c**3 - 216*c**2 - 2*c + 220. Let h(q) = -18*q**3 + 430*q**2 + 3*q - 440. Let w(m) = 5*a(m) + 2*h(m). Factor w(f).
4*(f - 55)*(f - 1)*(f + 1)
Factor 24*b - 72/5 - 2/5*b**4 - 26/5*b**2 - 4*b**3.
-2*(b - 1)**2*(b + 6)**2/5
Let h = 54202397/450935 + -2/90187. Let m = -120 + h. Determine l so that 7/5*l**4 + 2/5*l**2 + 2/5*l**5 - m + 8/5*l**3 - 2/5*l = 0.
-1, 1/2
Let s = -1 + -2. Let w be (3*1)/(s/(-4)). Factor 3*m + 3*m**2 + 0*m**3 - 3*m**w + 0*m**4 - 3*m**3.
-3*m*(m - 1)*(m + 1)**2
Suppose -2*j = -3*t + 3, -15*j + 17*j + t = 1. Suppose j - 4/3*k**3 + 0*k + 32/3*k**2 = 0. What is k?
0, 8
Let p be ((-84)/32 - -3) + (-119)/(-408). Suppose 14/3*l + 8/3 + 4/3*l**2 - p*l**3 = 0. Calculate l.
-1, 4
Let t = 85 + -81. Factor t*i**2 + 4 + i + 4*i - 6*i**2 + 3*i**2.
(i + 1)*(i + 4)
Suppose -3*w + 0*w - 6 = 0. Let z be (-27)/(-12)*w/(-3). Solve 3 + z*g**2 - 9/2*g = 0.
1, 2
Factor 3/4*c**2 - 3/2*c + 3/2*c**3 + 0 - 3/4*c**4.
-3*c*(c - 2)*(c - 1)*(c + 1)/4
Let -54/5*w + 2/5*w**3 - 28/5 - 24/5*w**2 = 0. What is w?
-1, 14
Suppose 13*g = 5*g + 200. Find b such that -52*b**2 + 9 + 7 - 7 - g - 24*b**3 - 4*b**4 - 48*b = 0.
-2, -1
Factor 1/4*z - 1/4 + 1/4*z**2 - 1/4*z**3.
-(z - 1)**2*(z + 1)/4
Let t(b) = -4*b**2 + 6*b - 2. Let l(y) = -y + 1. Let r be 12/20 + 144/10. Let n = -12 + r. Let s(d) = n*l(d) + 3*t(d). Factor s(i).
-3*(i - 1)*(4*i - 1)
Let f(q) be the third derivative of q**5/240 - 17*q**4/96 + 2*q**3/3 - 61*q**2 - q. Suppose f(l) = 0. Calculate l.
1, 16
Factor -37647*f**2 + 12*f**3 - 10*f + 3*f**5 + 18*f**4 - 5*f + 37629*f**2.
3*f*(f - 1)*(f + 1)**2*(f + 5)
Let m(u) be the second derivative of 1/10*u**5 + 0 - 22*u - 4*u**2 + 0*u**3 + 1/2*u**4. Factor m(j).
2*(j - 1)*(j + 2)**2
Let u(w) be the first derivative of 3*w**4/4 + 15*w**3 + 72*w**2 - 192*w + 52. Let u(v) = 0. Calculate v.
-8, 1
Let s(o) be the second derivative of 3*o**5/20 - 2*o**4 - 9*o**3/2 - 70*o. Factor s(r).
3*r*(r - 9)*(r + 1)
Let g be (-24)/(-10) - 2 - -2*6/120. Factor -4/3 - 17/6*q**3 + g*q**4 + 5*q**2 - 2*q.
(q - 2)**3*(3*q + 1)/6
Let n(k) be the second derivative of -5*k**7/42 + 3*k**5/4 - 5*k**4/6 + 35*k - 2. Factor n(f).
-5*f**2*(f - 1)**2*(f + 2)
Let x(h) = -18*h**3 - 16*h**2 - 14*h - 8. Let v(a) = 7*a**3 + 6*a**2 + 5*a + 3. Let i(g) = -8*v(g) - 3*x(g). Find l such that i(l) = 0.
-1, 0, 1
Let k(o) be the second derivative of -o**7/672 - o**6/96 - o**5/48 - 5*o**3/6 + 7*o. Let x(s) be the second derivative of k(s). Solve x(f) = 0 for f.
-2, -1, 0
Let a be 6/28*-2 - (-14 - (-922)/70). Find g, given that -a*g + 2/5*g**2 + 0 = 0.
0, 1
Let q(f) = -10*f**2 - 15*f. Let r(w) = 2*w + 9. Let c be r(-8). Let t(o) = -15*o**2 - 22*o. Let n(a) = c*q(a) + 5*t(a). Find d, given that n(d) = 0.
-1, 0
Suppose -6*x**3 - 10*x**2 + 14*x**3 - 16*x**4 - 6*x**2 + 4*x**5 + 9*x**3 + 7*x**3 + 4*x = 0. What is x?
0, 1
Let y be 15/(-5) + 195/45. Determine r so that y*r - 2/3*r**2 + 0 - 2/3*r**3 = 0.
-2, 0, 1
Let h(v) = -3*v**3 - 49*v**2 + 95*v - 51. Let x(t) = -6*t**3 - 99*t**2 + 189*t - 102. Let f(y) = 9*h(y) - 4*x(y). What is n in f(n) = 0?
-17, 1
Let n(t) be the first derivative of 3*t**4/4 - 17*t**3 - 27*t**2 + 57. Find v such that n(v) = 0.
-1, 0, 18
Let m(x) = -7*x**2 + 20*x - 13. Let n(l) = -l**2 + 2*l - 1. Let f(w) = -m(w) + 4*n(w). Factor f(q).
3*(q - 3)*(q - 1)
Let q(g) = -g. Let k(p) = 4*p**2 + 44*p. Let u = 27 + -51. Let a(z) = u*q(z) - k(z). Find f, given that a(f) = 0.
-5, 0
Let d(o) be the first derivative of 0*o - 4*o**2 + 4/3*o**3 - 8. Factor d(l).
4*l*(l - 2)
Suppose 4*v - 2*n + 3 - 11 = 0, -4*n - 16 = 4*v. Let v*j - 42*j**2 - 3*j + 1 + 0*j**3 + 45*j**2 - j**3 = 0. What is j?
1
Let p(m) be the third derivative of -m**8/1848 + m**7/231 + 7*m**6/660 - m**5/66 - m**4/22 + 166*m**2. Determine a, given that p(a) = 0.
-1, 0, 1, 6
Let h(d) = 10*d**2 + 16*d + 15. Let b(f) = 4*f**2 - 1. Let a(z) = 6*b(z) - 2*h(z). Factor a(u).
4*(u - 9)*(u + 1)
Solve -42*u**2 + 80*u - 61*u**2 + 56 + 125*u**2 - 2*u**3 = 0 for u.
-2, -1, 14
Let x(h) be the third derivative of h**6/120 - 11*h**5/60 - 5*h**4/3 - 14*h**3/3 - 131*h**2. Factor x(w).
(w - 14)*(w + 1)*(w + 2)
Let v be (-84)/(-35) + 14/(-35). Let 0 + 2/3*l**2 - v*l = 0. Calculate l.
0, 3
Let p(r) be the second derivative of r**6/1620 - r**5/540 - r**3/6 + 8*r. Let u(n) be the second derivative of p(n). Determine l, given that u(l) = 0.
0, 1
Let v = -6371/5 + 1276. Suppose -12/5*w - v*w**2 + 12/5 = 0. Calculate w.
-2, 2/3
Solve -1440 - 256*f - 80*f - 29*f**3 + 33*f**3 + 8*f**2 = 0 for f.
-6, 10
Let b = 116/3 - 38. Let u = 461/3 - 152. Determine a so that 0 + u*a**3 - b*a + a**2 = 0.
-1, 0, 2/5
Let d = -172 - -172. Let c(u) be the first derivative of -5 - 1/18*u**4 + 1/9*u**2 + 0*u**3 + d*u. Factor c(q).
-2*q*(q - 1)*(q + 1)/9
What is b in -51/4*b**3 + 0*b**2 + 0 - 3/4*b**4 + 0*b = 0?
-17, 0
Solve -10 - 85/3*z + 5/3*z**4 - 25*z**2 - 5*z**3 = 0 for z.
-1, 6
Let b = 280 + -7837/28. Let z(d) be the first derivative of b*d**4 - 3 + 3/14*d**2 + 2/7*d**3 + 0*d. Factor z(n).
3*n*(n + 1)**2/7
Suppose -4*o + 47 = -37. Suppose -2*x + 11 = -o. Let 3*k - 21*k**4 - 10*k**5 + x*k**5 + 27*k**3 - 10*k**2 - 5*k**2 = 0. Calculate k.
0, 1/2, 1
Let w(r) be the second derivative of -5/2*r**2 + 0 - 5/12*r**4 + 5/3*r**3 + 8*r. Factor w(s).
-5*(s - 1)**2
Let l(y) be the third derivative of y**6/360 + y**5/20 + y**4/3 + 10*y**3/9 + 6*y**2 - 3*y. What is f in l(f) = 0?
-5, -2
Let h(c) = c**2 - 5*c + 16. Let v be h(4). Suppose 2*z + 5*k - 2*k = v, -4*z + 12 = 3*k. Factor 1/4*f**4 - 1/4*f**5 + 0*f**3 + 0 + z*f**2 + 0*f.
-f**4*(f - 1)/4
Let w(i) be the second derivative of i**5/5 + 8*i**4/3 + 8*i**3 + 24*i + 1. Factor w(l).
4*l*(l + 2)*(l + 6)
Let f(l) = l**2 - 18*l + 20. Let n be f(17). Let c(p) be the third derivative of -4*p**2 + 1/2*p**n + 0*p**4 - 3/20*p**5 