/(-88) + 4 + 46/(-11). Find v such that 1/6*v**5 + 0*v + 1/2*v**3 - 1/2*v**4 + 0 - 1/6*v**q = 0.
0, 1
Find u, given that -225/2 + 255/2*u - 31/2*u**2 + 1/2*u**3 = 0.
1, 15
Let l(i) be the third derivative of i**7/945 + 2*i**6/135 + 8*i**5/135 + 24*i**2. Suppose l(s) = 0. What is s?
-4, 0
Let i be -2*(-2 + 5)*110/5. Let j = i - -269/2. Factor 1/2*q**2 - 2*q**3 + 0 + j*q**4 - q**5 + 0*q.
-q**2*(q - 1)**2*(2*q - 1)/2
Let w(v) = v**2 + 8*v - 18. Let j be w(-10). Factor 6 + 6 - 2*m**j - 12 + 2*m**3.
2*m**2*(m - 1)
Let r(a) = -a - 2. Let g be r(-4). Factor -1 - 8 - 11 + 5*k**g + 5*k + 10.
5*(k - 1)*(k + 2)
Let t(p) be the third derivative of 0 + 4*p**3 + 0*p + 5/3*p**4 + 5*p**2 + 1/30*p**6 + 11/30*p**5. Factor t(j).
2*(j + 2)**2*(2*j + 3)
Let c(o) be the second derivative of o**4/6 - 25*o**3/18 - 25*o**2/6 - 197*o. Factor c(p).
(p - 5)*(6*p + 5)/3
Let m be ((-15)/(-10))/((-2)/(-4)). Let s = m + 2. Suppose 4*k**3 - 3*k + 7*k**3 - 3*k**5 - s*k**3 = 0. What is k?
-1, 0, 1
Let n(y) be the third derivative of -1/45*y**5 + 0*y + 0 + 5/9*y**4 - 50/9*y**3 + 2*y**2. Let n(f) = 0. Calculate f.
5
Let i(u) be the third derivative of -3*u**2 - 1/10*u**6 + 0*u + 1/20*u**5 + 0 + 0*u**4 + 1/14*u**7 + 0*u**3 - 1/56*u**8. Factor i(j).
-3*j**2*(j - 1)**2*(2*j - 1)
Let p be (-6)/4 - (-3783)/26. Let m = 146 - p. Factor -6*i + 0 + 12*i**m - 15/2*i**3 + 3/2*i**4.
3*i*(i - 2)**2*(i - 1)/2
Let i(b) = -3*b**5 - 31*b**4 - 16*b**3 + 481*b**2 + 901*b + 431. Let n(t) = t**4 + t**3 - t**2 - t + 1. Let h(r) = -i(r) - n(r). What is d in h(d) = 0?
-6, -1, 4
Let l(b) = 6*b + 239. Let q be l(-39). Let v(g) be the third derivative of 0 - 3/25*g**q + 12*g**2 + 8/15*g**3 + 8/15*g**4 + 0*g. Factor v(w).
-4*(w - 2)*(9*w + 2)/5
Let i(r) be the first derivative of 21 + 1/18*r**6 - 1/15*r**5 + 2/9*r**3 + 1/6*r**2 - 1/6*r**4 - 1/3*r. Factor i(y).
(y - 1)**3*(y + 1)**2/3
Factor 14*q**3 + 27*q**4 + 88*q - 84*q**5 + 104*q**3 + 180*q**2 + 85*q**5.
q*(q + 1)*(q + 2)**2*(q + 22)
Let p be 318/1080 - ((-22)/8 - -3). Let w = p - -37/180. Let 0 + 1/2*u**4 - w*u**5 - 1/2*u**2 + 1/4*u + 0*u**3 = 0. Calculate u.
-1, 0, 1
Let r = -216 - -441. Let n = r - 223. What is y in 2/7*y - 6/7*y**n + 0 = 0?
0, 1/3
Suppose 0 = -64*p + 1837 - 1709. Factor 0 - 1/4*g**p - 1/8*g.
-g*(2*g + 1)/8
Let v(g) be the third derivative of -1/42*g**7 + 13/120*g**6 - 3/20*g**5 + 1/3*g**3 + 0*g + 0 - 1/24*g**4 - 25*g**2. Determine l so that v(l) = 0.
-2/5, 1
Let h(y) = 62*y - 2. Let i be h(1). Let -9*l - 11*l - 11*l**3 + 2*l**3 - 16*l**3 - i*l**2 = 0. What is l?
-2, -2/5, 0
Suppose 10 = 4*h - 10. Let s be -3*((-255)/9)/h. Let -s*m + 0 - 2*m**2 + 4 + 19*m = 0. What is m?
-1, 2
Let q(p) be the second derivative of -p**6/30 - p**5/3 + 13*p**2 - 18*p. Let b(m) be the first derivative of q(m). Find u, given that b(u) = 0.
-5, 0
Let m(t) = -2*t. Let d(v) = -v - 5. Let x be d(-4). Let h be m(x). Factor -5 - 3*p**2 - 6*p + 4 - h.
-3*(p + 1)**2
Let x = -25095/4 + 6274. Find l such that 1/4*l**2 + 0*l - x = 0.
-1, 1
Let l(g) be the first derivative of -g**5/10 - 9*g**4/8 - 63. What is f in l(f) = 0?
-9, 0
Let a be (-5)/2 + (2/26)/(240/33540). Factor 0 - 3/4*y**4 + a*y**2 + 9/2*y + 3*y**3.
-3*y*(y - 6)*(y + 1)**2/4
Factor -180*z**2 - 23 - 16*z**2 - 244*z - 37 - 5*z**3 - 9*z**3 + 2*z**3.
-4*(z + 1)*(z + 15)*(3*z + 1)
Let w(p) = 37*p**2 + 222*p + 84. Let n(i) = -25*i**2 - 148*i - 56. Let j(u) = -7*n(u) - 5*w(u). Let j(s) = 0. Calculate s.
-7, -2/5
Factor -56*c + 17*c**2 + 7686*c**3 - 7684*c**3 - 71*c**2.
2*c*(c - 28)*(c + 1)
Suppose -5*u = 5*n, 4*u + 3*n + 5 = 10. Suppose x - 25 + 0 = -4*d, 5*d = u*x. Solve 4/9 + 4/9*w**4 + 20/9*w**3 - 10/9*w**d - 10/9*w - 8/9*w**2 = 0 for w.
-1, 2/5, 1
Let i(o) be the first derivative of o**6/18 - 46*o**5/15 + 529*o**4/12 + 10. Determine l, given that i(l) = 0.
0, 23
Let w(t) be the third derivative of 3*t**8/56 - 8*t**7/35 - 7*t**6/30 + 8*t**5/15 - t**4/4 + 3*t**2 - 29. Determine h so that w(h) = 0.
-1, 0, 1/3, 3
Let p be 5*(3 + 12/(-30)). Let z(c) = 2*c**2 - 30*c + 56. Let b be z(p). Determine w, given that 0 + 0*w**2 - 4/3*w**3 + 1/3*w**b + 0*w = 0.
0, 4
Let n = 23 - 21. Suppose v - 4*z = 2, 5*v - n*z = -4 + 14. Solve -16*r + 16 + 3*r**v + 3*r**2 - 2*r**2 = 0 for r.
2
Suppose 0 = 2*s - 2, p + 2*s + 5 - 9 = 0. Find h such that -12/5*h - 8/5*h**p + 4/5*h**3 + 0 = 0.
-1, 0, 3
Let n be (3/14)/(1/48). Let f = n - 332/35. Suppose 2/5*r**4 - 2/5*r**5 - 2/5*r + 2/5 - 4/5*r**2 + f*r**3 = 0. Calculate r.
-1, 1
Suppose 56/9*g - 3*g**4 + 4/9 + 23/9*g**2 - 56/9*g**3 = 0. What is g?
-2, -1, -2/27, 1
Let q(b) be the first derivative of -5*b**4/4 + 125*b**3 - 9375*b**2/2 + 78125*b + 76. What is a in q(a) = 0?
25
Let b(u) be the second derivative of -1/40*u**5 + 0 + 1/16*u**4 + 0*u**2 - 1/40*u**6 + 1/12*u**3 + 14*u. Factor b(a).
-a*(a - 1)*(a + 1)*(3*a + 2)/4
Determine w so that -2/3*w**2 + 0 + 0*w - 1/3*w**3 = 0.
-2, 0
Let p(s) be the second derivative of 0*s**6 + 0*s**2 - 5*s - 1/2*s**3 + 0 - 1/14*s**7 + 3/10*s**5 + 0*s**4. Find o such that p(o) = 0.
-1, 0, 1
Let j(b) be the third derivative of 1/18*b**3 + 0 + 0*b - 1/144*b**4 - 1/360*b**5 + 7*b**2. Factor j(k).
-(k - 1)*(k + 2)/6
Let z(i) be the third derivative of 0*i + 3/8*i**4 + 1/10*i**5 + 1/112*i**8 + 0 - i**3 + 0*i**7 + 36*i**2 - 1/10*i**6. Factor z(k).
3*(k - 1)**3*(k + 1)*(k + 2)
Suppose -2 + 6 = 2*i. Factor -s - 1 + s + 43*s**2 - 42*s**i.
(s - 1)*(s + 1)
Let f(k) be the second derivative of -5/2*k**3 + 0 - 7/4*k**4 - 22*k + 3*k**2. Factor f(s).
-3*(s + 1)*(7*s - 2)
Let j = -18 - -19. Let c(d) = 21*d**3 + 27*d**2 - 21*d + 9. Let b(y) = y**3 + y**2 - y + 1. Let a(s) = j*c(s) - 18*b(s). Solve a(m) = 0.
-3, -1, 1
Factor 20/7*x + 6/7*x**2 + 0 - 2/7*x**3.
-2*x*(x - 5)*(x + 2)/7
Suppose 2*u + 3*u - 10 = 0. Let x(c) be the third derivative of -1/9*c**3 + 0 - 1/90*c**5 + 0*c - 1/18*c**4 - 2*c**u. Let x(i) = 0. Calculate i.
-1
Solve -173/2*x**3 + 0 - 56*x + 3/2*x**4 + 141*x**2 = 0 for x.
0, 2/3, 1, 56
Let u(h) be the second derivative of -h**4/4 - 17*h**3/2 - 24*h**2 - 1088*h. Factor u(t).
-3*(t + 1)*(t + 16)
Let s(y) be the second derivative of -y**7/2100 + y**6/900 + 11*y**3/6 + 12*y. Let h(g) be the second derivative of s(g). Suppose h(q) = 0. What is q?
0, 1
Let v(g) be the third derivative of g**7/42 - 7*g**6/24 + g**5 + 5*g**4/6 - 40*g**3/3 - g**2 - 91*g. Let v(u) = 0. What is u?
-1, 2, 4
Suppose 0 = 2*a - a. Find q such that a - 3*q**2 + 2 + 25 = 0.
-3, 3
Suppose 0*n + 4*s = n + 10, 3*s = 4*n + 1. Find i such that 112*i - 12*i**3 - 44*i + 16 + 66*i**2 - 12*i**n - 6*i**3 = 0.
-2/3, -1/3, 4
Factor 2304*s + 4*s**3 + 190*s**2 + 98*s**2 - 96*s**2 + 1 - 1.
4*s*(s + 24)**2
Let 146*l**2 - 5*l - 9 + 3 - 77*l**2 - 70*l**2 = 0. What is l?
-3, -2
Let j(f) = -f**3 - 7*f**2 - 4*f + 14. Let l be j(-6). Factor -22*o - 2*o**l - o**5 + o**4 + 11*o + 1 + 2*o**3 + 10*o.
-(o - 1)**3*(o + 1)**2
Let l(w) be the third derivative of -w**7/140 + w**6/40 + w**5/10 - w**4/2 + 99*w**2. Solve l(r) = 0.
-2, 0, 2
Let g(f) be the first derivative of -f**5/5 + 8*f**3/3 - 16*f - 624. What is c in g(c) = 0?
-2, 2
Suppose 3*o = 15 + 24. Let c = o - 11. Let 5*r**2 - 6*r + r**2 - r**2 + 39*r**3 - 63*r**4 - c*r**2 + 27*r**5 = 0. What is r?
-1/3, 0, 2/3, 1
Let d(m) be the first derivative of 15/2*m**6 - 16 - 11*m**5 + 0*m**3 + 0*m + 5/2*m**4 + 0*m**2. Suppose d(f) = 0. What is f?
0, 2/9, 1
Factor -16*x + 108/7 + 4/7*x**2.
4*(x - 27)*(x - 1)/7
Let c(w) be the first derivative of 3*w**5/25 - 561*w**4/20 + 11718*w**3/5 - 74958*w**2 + 714984*w/5 + 306. Factor c(n).
3*(n - 62)**3*(n - 1)/5
Find d such that 34/3*d - 578/3 - 1/6*d**2 = 0.
34
Let u(x) be the second derivative of 16*x**7/21 - 36*x**6/5 + 97*x**5/5 - 29*x**4/3 - 20*x**3 + 16*x**2 + 126*x. Solve u(q) = 0.
-1/2, 1/4, 1, 2, 4
Let n(j) be the first derivative of j**7/56 - 7*j**6/72 + 5*j**4/6 - 5*j**3/3 + 11. Let d(v) be the third derivative of n(v). Let d(y) = 0. Calculate y.
-2/3, 1, 2
Let j(k) be the first derivative of 2*k**3/3 - k**2 + 3. Let y be j(3). Factor -3*z**3 + y*z**2 + 3 + 0*z**3 + 6*z**3 - 3*z**2 + 9*z.
3*(z + 1)**3
Let w be (-5)/(-10)*-3 + (-31)/(-18). Let j(o) = -o + 1. Let k be j(1). Factor -8/9*l**4 + 0*l - 4/9*l**2 + w*l**5 + 10/9*l**3 + k.
2*l**2*(l - 2)*(l - 1)**2/9
Let m(o) = -3*o**2 - 20*o - 75. Let s(k) = -6*k**2 - 42*k - 1