*3 = 0 for u.
-2, -1, 0, 1
Factor -8*q + 36*q**2 - 18*q**4 + 64*q**3 + 42*q**4 - 31*q**3 + 35*q**3.
4*q*(q + 1)*(q + 2)*(6*q - 1)
Let s = -92 - -97. Let y(c) = -c**3 + 6*c**2 - 2*c - 2. Let u be y(5). Find b such that -2*b + 8*b**2 - 5*b**3 - 3*b**s + 4*b**3 + 6*b - u*b**4 + 5*b**4 = 0.
-2, -1, -2/3, 0, 1
Let y(i) = 5*i**2 + 43*i + 105. Let b(k) = 16*k**2 + 130*k + 316. Let f(d) = 3*b(d) - 10*y(d). Factor f(z).
-2*(z + 3)*(z + 17)
Let s(b) be the first derivative of 2*b**5/25 - 3*b**4 + 130*b**3/3 - 300*b**2 + 1000*b + 112. Factor s(a).
2*(a - 10)**2*(a - 5)**2/5
Suppose -20 = -4*q - q. Let z = -8/3 + q. Solve 2/3 - z*s**2 - 2/3*s = 0.
-1, 1/2
Let f(u) be the first derivative of 2*u**6/3 - 18*u**5/5 + 7*u**4/2 + 28*u**3/3 - 12*u**2 - 16*u - 86. Factor f(q).
2*(q - 2)**3*(q + 1)*(2*q + 1)
Let z = 161/86 - 16/43. Suppose 5 = -0*h + 5*h. Determine o so that z*o - 1/2*o**2 - h = 0.
1, 2
Suppose 2*c + 124*r = 121*r - 1, 2*r + 2 = -c. Factor 4/9*h**c + 0 + 0*h - 1/9*h**5 - 5/9*h**3 + 2/9*h**2.
-h**2*(h - 2)*(h - 1)**2/9
Let o = -74 + 72. Let i be (-13 + 16)*(-2 - 0)/o. Let 2/7*r**2 + 0 + 2/7*r**i + 0*r = 0. Calculate r.
-1, 0
Solve 0 - 9/5*n**2 + 1/5*n**3 - 22/5*n = 0.
-2, 0, 11
Suppose -4*t - 5 - 10 - 5 = 0, 0 = 3*b - 3*t - 21. Let n = -439/21 + 21. Suppose 2/21*r**b + 8/21*r - 8/21 - n*r**3 = 0. What is r?
-2, 1, 2
Suppose 2476*a = 2337*a + 278. Solve 0 - 1/2*t**3 - 3/2*t**a + 2*t = 0.
-4, 0, 1
Let w be (-3 - -3) + 1 + 8 + -4. Factor 1/2*r - 9/2*r**3 - 1/2*r**2 - 2*r**w - 11/2*r**4 + 0.
-r*(r + 1)**3*(4*r - 1)/2
Let y be ((-9)/(-27))/((-2)/18). Let p(m) = -m**3 - m**2 + m - 1. Let a(w) = w**3 + 3*w**2 + 5*w + 3. Let x(n) = y*p(n) - a(n). Factor x(s).
2*s*(s - 2)*(s + 2)
Find r, given that -2/3*r**5 + 4*r + 2*r**3 + 2*r**4 + 0 - 22/3*r**2 = 0.
-2, 0, 1, 3
Let f = -56 - -61. Let l(y) = y**2. Let o be l(-2). Solve 2*u**3 - 3*u**3 + o*u**5 - 2*u**3 - u + 0*u**5 + f*u**2 - 5*u**4 = 0.
-1, 0, 1/4, 1
Suppose -1/8*w**2 + 3/8 - 1/4*w**4 - 7/8*w + 7/8*w**3 = 0. What is w?
-1, 1/2, 1, 3
Let z(t) be the first derivative of t**4/4 + 4*t**3/3 + 5*t**2/2 + 2*t - 9. Factor z(h).
(h + 1)**2*(h + 2)
Let i be (8/(-6) - 0)*((-1053)/(-39) - 30). Suppose -2/17*t**5 - 4/17*t**2 + 14/17*t**3 + 16/17 - 24/17*t + 0*t**i = 0. Calculate t.
-2, 1, 2
Let p be 3 + 6 + 1770/(-200). Let r(s) be the first derivative of -s**3 + 12/5*s**2 - 1 + p*s**4 - 12/5*s. Determine n so that r(n) = 0.
1, 2
Let f(l) be the third derivative of l**7/42 - l**6/24 - 5*l**5/4 - 115*l**4/24 - 25*l**3/3 + l**2 - 133. Factor f(i).
5*(i - 5)*(i + 1)**2*(i + 2)
Let r be 18/4 + 1*(-4)/8. Suppose y = -3*c - 15, 4*y = -5*c + r*c - 5. Let 0 + 3/4*l**3 + y*l + 1/2*l**2 = 0. Calculate l.
-2/3, 0
Factor 24*v**3 + 36*v**2 + 4*v**4 + 10*v + 4*v**3 - 48 - 12*v - 4*v**3 - 14*v.
4*(v - 1)*(v + 2)**2*(v + 3)
Let b(m) = 6*m - 68. Let h be b(13). Solve 4*s**5 + 6*s - 10*s**2 + 0*s + 253*s**3 + h*s**4 - 263*s**3 = 0 for s.
-3, -1, 0, 1/2, 1
Let c = -22253/10 + 2226. Let p(o) be the second derivative of -c*o**6 + 0*o**2 + 10*o + 9/20*o**5 + 0 + 3/4*o**4 - o**3 + 3/14*o**7. Let p(y) = 0. Calculate y.
-2/3, 0, 1
Let l(f) = -57*f - 6. Let d be l(1). Let n = d - -65. Factor -8/9*q**n - 2/9 - 10/9*q.
-2*(q + 1)*(4*q + 1)/9
Let z(b) be the third derivative of b**7/105 - b**6/5 + 13*b**5/15 + b**4 - 9*b**3 + 865*b**2. Solve z(h) = 0 for h.
-1, 1, 3, 9
Let k be (16/6)/2*3. Let q = -21 + 23. Determine t so that 2*t**4 + q*t**3 - 4*t**3 + k*t**4 - t**4 = 0.
0, 2/5
Let l(g) be the first derivative of g**4/16 - 7*g**3/12 - g**2 + 202. Factor l(r).
r*(r - 8)*(r + 1)/4
Suppose -2*k = -n - 10, -3*k + 4*n = -0*k - 5. Find a, given that -4*a**2 + k*a**2 + a**2 - 4*a**4 = 0.
-1, 0, 1
Let a(h) = 3*h**2 - 6*h - 9. Let t = -13 - -14. Let k be t/6 - (-95)/(-30). Let v(q) = -q**3 + q**2 + q - 1. Let p(r) = k*v(r) + a(r). Factor p(m).
3*(m - 2)*(m + 1)**2
Let t be (81/36)/(18/24). Determine n so that 78/7*n**2 + 24/7*n + 0 - 15/7*n**4 + 39/7*n**t = 0.
-1, -2/5, 0, 4
Let z be (96/(-60))/(2/(-5)). Suppose -z*c + 32 = d + 9, -c = -3*d + 4. Factor r**5 - r**2 + r**5 - 4*r**4 - 14*r**3 + 5*r**2 + 12*r**d.
2*r**2*(r - 2)*(r - 1)*(r + 1)
Let 0*y**2 + 8/7*y**3 + 6/7*y**4 + 0*y + 0 - 2/7*y**5 = 0. What is y?
-1, 0, 4
Let d = -17 - -17. Let n = d - -3. Factor 12*k**2 + 69 - 12*k - 78 + 3*k**2 + 6*k**n.
3*(k - 1)*(k + 3)*(2*k + 1)
Let h(n) be the second derivative of -n**10/6048 - n**9/756 - n**8/336 + n**4/3 - 9*n. Let u(k) be the third derivative of h(k). Factor u(d).
-5*d**3*(d + 2)**2
Let s(f) be the second derivative of f**4/3 - 4*f**3 - 14*f**2 + 2*f + 70. Factor s(l).
4*(l - 7)*(l + 1)
Factor 4/7*c**3 + 0 - 48/7*c + 4/7*c**4 - 32/7*c**2.
4*c*(c - 3)*(c + 2)**2/7
Let b(v) = -v**3 + 17*v**2 + 17*v + 19. Let p be b(18). Let t(w) be the first derivative of -1/4*w + 0*w**3 - p + 1/20*w**5 + 1/8*w**4 - 1/4*w**2. Factor t(j).
(j - 1)*(j + 1)**3/4
Let q = 2/5487 - -16453/21948. Solve -5/4*h**2 + 3/4*h - q*h**3 + 1/4 + h**4 = 0 for h.
-1, -1/4, 1
Let q(o) = 20*o**2 + 8*o - 36. Let h(c) = c**2 + c - 1. Let u(t) = 24*h(t) - q(t). Factor u(r).
4*(r + 1)*(r + 3)
Find u, given that 0 + 3/4*u**4 - 27/4*u**3 + 27/4*u - 3/4*u**2 = 0.
-1, 0, 1, 9
Let q(c) be the first derivative of 21*c**6/2 - 128*c**5/5 + c**4 + 42*c**3 - 67*c**2/2 + 2*c - 11. Factor q(x).
(x - 1)**3*(x + 1)*(63*x - 2)
Let s(z) be the first derivative of -z**6/11 - 2*z**5/5 + 29*z**4/11 - 52*z**3/11 + 41*z**2/11 - 14*z/11 - 28. Suppose s(x) = 0. What is x?
-7, 1/3, 1
Factor 4*g**2 + 214 - 106*g - 58 - 69*g + 15*g.
4*(g - 39)*(g - 1)
Let b(n) be the second derivative of -22*n + 51/2*n**3 - 21*n**2 - 7/4*n**4 + 0. Solve b(l) = 0 for l.
2/7, 7
Let q be (-40)/25*25/(-2). Suppose -d = 3*x - q, d - 3*x - 12 = -4*x. Suppose d - f - 2*f**3 - f + 2*f - 6*f**2 = 0. What is f?
-2, 1
Let k(h) = h**3 + 2*h**2 - 9*h - 1. Let q be k(-4). Let -1/4*s**2 + 3/4*s**q - 3/4*s - 1/4*s**4 + 1/2 = 0. What is s?
-1, 1, 2
Let i = -432/13 + 877/26. Factor 0*v - i*v**2 + 1/2.
-(v - 1)*(v + 1)/2
Let i(a) be the third derivative of -a**2 + 1/110*a**5 + 1/33*a**4 + 0 - 4/33*a**3 - 1/165*a**6 + 0*a + 1/1155*a**7. Let i(z) = 0. Calculate z.
-1, 1, 2
Let c(y) be the first derivative of y**3/3 - y**2/2 - 2*y + 89. Find j, given that c(j) = 0.
-1, 2
Let h(b) be the third derivative of 18*b**2 - 1/120*b**6 + 0 + 0*b + 1/15*b**5 + 0*b**3 + 0*b**4. Factor h(w).
-w**2*(w - 4)
Factor 26*d**2 - 12*d - 20/3*d**3 + 1/3*d**4 - 45.
(d - 15)*(d - 3)**2*(d + 1)/3
Let u = -1/5465 - -2189/16395. Find c, given that -14/15*c - u*c**2 + 0 = 0.
-7, 0
Let x be -2*15/(-6)*-15. Let t = x - -75. Determine y so that -16/9*y**2 + t - 8/9*y - 2/9*y**4 - 10/9*y**3 = 0.
-2, -1, 0
Let i(j) be the first derivative of j**6/8 + 93*j**5/20 + 495*j**4/8 + 325*j**3 + 375*j**2 - 65. Factor i(v).
3*v*(v + 1)*(v + 10)**3/4
Factor 19*y**3 - 15*y - 2*y**3 + y**3 - 15*y**3 - 8*y**2 - 4*y**3.
-y*(y + 3)*(y + 5)
Suppose 0 = 9*l + 20 + 25. Let s(b) = -b**2 + b - 1. Let m(f) = -f**2 - 6*f - 8. Let o(z) = l*m(z) + 15*s(z). Factor o(d).
-5*(d - 5)*(2*d + 1)
Let k(y) = 101*y**2 - 145*y + 264. Let b(a) = -29*a**2 + 48*a - 88. Let r(h) = -7*b(h) - 2*k(h). Suppose r(o) = 0. What is o?
2, 44
Suppose 8 = 3*m - 4*l - 18, 0 = -5*m - 2*l. Solve 17*z**2 - 10*z**m - 2*z**3 - 11*z**2 = 0 for z.
-2, 0
Let m(f) be the first derivative of f**4 - 8/3*f**3 + 32*f - 12 - 8*f**2. Suppose m(j) = 0. Calculate j.
-2, 2
Let o(w) = w**2 - 9*w + 22. Suppose -4*t + 50 = -0*r + 5*r, -3*r + t = -13. Let x be o(r). Determine s so that 1/2*s**x + 5/2*s**2 - s + 0 - 2*s**3 = 0.
0, 1, 2
Let n(f) be the first derivative of 57 - 5/2*f**2 + 5/4*f**4 + 5*f**3 - 15*f. Factor n(t).
5*(t - 1)*(t + 1)*(t + 3)
Let c(k) be the second derivative of -k**4/10 + 17*k**3/30 - 11*k**2/10 + k + 72. Factor c(u).
-(u - 1)*(6*u - 11)/5
Let l(h) = -2*h**2 - 40*h - 32. Let g(m) = -2*m**2 - 43*m - 32. Let f(j) = -4*g(j) + 6*l(j). Find i, given that f(i) = 0.
-16, -1
Let d(s) be the third derivative of -5*s**7/14 - s**6/2 + 24*s**5/5 + 10*s**4 + 8*s**3 + 26*s**2 + 3*s. Solve d(f) = 0 for f.
-2, -2/5, 2
Let x(u) be the third derivative of -u**6/24 - 7*u**5/3 + 5*u**4/24 + 70*u**3/3 + 420*u**2. Solve x(o) = 0.
-28, -1, 1
Let l be -2 - 48/(-28) - (-116)/14. Let m(x) = 2*x - 13. Let f be m(l). Factor -1/2*n + 1/2*n**2 + 1/2*n**f - 1