*6/55 + 8*d**5/55 + 16*d**4/33 - 91*d**2. Solve g(u) = 0.
-4, 0
Let p = -359 - -362. Let r(k) be the second derivative of -18/5*k**p + 27/5*k**2 + 6/5*k**4 - 3*k - 1/5*k**5 + 0 + 1/75*k**6. What is z in r(z) = 0?
1, 3
Let n(t) be the first derivative of -t**4/12 - 2*t**3/3 + 5*t**2/2 - 8*t/3 - 167. Factor n(p).
-(p - 1)**2*(p + 8)/3
Suppose -6 = g + 4*z, 14 = -3*g + 7*g - 3*z. Let j = -118 + 594/5. Factor 0 + 4/5*c + 8/5*c**g + j*c**3.
4*c*(c + 1)**2/5
Factor -6*f**3 - 4*f**3 - 160*f - 5*f**3 + 63*f**2 + 13 + 52*f**2 + 47.
-5*(f - 6)*(f - 1)*(3*f - 2)
Solve -9 - 3/4*w**3 - 12*w - 21/4*w**2 = 0 for w.
-3, -2
Solve -20/7 - 10/21*s**2 - 22/3*s = 0.
-15, -2/5
Let l(g) be the first derivative of 2*g**3/15 + 9*g**2/5 - 44*g/5 - 94. Factor l(p).
2*(p - 2)*(p + 11)/5
Let d = -101 - -101. Factor -2/5*w**2 + 1/5*w**3 + d + 1/5*w.
w*(w - 1)**2/5
Determine y, given that 13/2 + 181/8*y**2 - 91/8*y**3 + 19/8*y**4 - 20*y - 1/8*y**5 = 0.
1, 2, 13
Let g(t) be the second derivative of -t**8/420 - t**7/105 + t**5/15 + t**4/6 - 5*t**3/3 - 3*t. Let l(x) be the second derivative of g(x). Factor l(k).
-4*(k - 1)*(k + 1)**3
Suppose -5*n + 10 = 2*h, 5*h - 25 = -3*n - n. Solve -h*t**3 + 16*t**3 + 9*t**2 - 12*t - 8*t**3 = 0 for t.
-4, 0, 1
Suppose 2*q = 3*q + j + 3, j + 7 = -3*q. Let o be (-111)/(-30) + 1/q + -3. What is d in 3/5 - o*d**2 + 2/5*d = 0?
-1, 3
Let m = -2 + 2. Suppose -8*i = 21 - 37. Factor m + 8/15*c + 2/15*c**i.
2*c*(c + 4)/15
Let g(t) be the second derivative of t**2 + 1/20*t**5 + 0 - 1/6*t**4 - 1/6*t**3 + 8*t. Factor g(k).
(k - 2)*(k - 1)*(k + 1)
Factor 3*y**3 + 3*y**3 + 114*y + 26*y**2 - 15 - 3*y**3 + 19*y**2 + 87.
3*(y + 1)*(y + 2)*(y + 12)
Let r(z) = 16*z - 44. Let o be r(3). Let i(j) be the second derivative of 1/35*j**5 + 1/7*j**2 + 0 + 3*j - 1/42*j**o - 2/21*j**3. Let i(c) = 0. Calculate c.
-1, 1/2, 1
Factor -3611*d**3 - 4*d + 0*d + 3615*d**3 - 16 + 16*d**2.
4*(d - 1)*(d + 1)*(d + 4)
Let c be (14 + 2/(-1))/2. Let s be (8/(-36))/(((-56)/c)/7). Let 1/6*f**4 + 0*f - s*f**3 + 1/6*f**5 - 1/6*f**2 + 0 = 0. Calculate f.
-1, 0, 1
Let c(v) = v**2 - 1988*v - 330684. Let o(l) = -1989*l - 330681. Let d(q) = 3*c(q) - 4*o(q). Factor d(b).
3*(b + 332)**2
Let s(p) be the third derivative of p**6/300 + 3*p**5/25 + 27*p**4/20 + 4*p**2 - 5. Factor s(z).
2*z*(z + 9)**2/5
Let i be (-8)/(-6)*((-90)/152)/(-9). Let v = i + 299/57. Let -v - 4/3*b**3 + 0*b + 4/3*b**5 - 4*b**4 + 28/3*b**2 = 0. What is b?
-1, 1, 2
Find h, given that -8/9*h**2 - 38/9*h + 10/9 = 0.
-5, 1/4
Solve 186*i - 11*i - 5*i**2 - 108 - 151 - 71 = 0 for i.
2, 33
Let w be (17/(-3) - -5)*(-4 + 39/12). Let v = -2 + 2. Factor -q + v - 3/2*q**2 - w*q**3.
-q*(q + 1)*(q + 2)/2
Let w(a) be the third derivative of a**7/630 - a**6/360 - a**5/45 + a**4/18 + 100*a**2. Factor w(l).
l*(l - 2)*(l - 1)*(l + 2)/3
Factor -2450/9 - 2/9*g**2 - 140/9*g.
-2*(g + 35)**2/9
Let q = -18974 - -37949/2. Factor 1 - q*i - 1/2*i**2.
-(i - 1)*(i + 2)/2
Suppose -2*c + 12 = 2. Suppose 0*q - c*q = 4*n - 28, 0 = -5*n + 5*q - 10. Factor 5 + n + 57*h**2 - 7 + 6*h + 132*h**3.
3*h*(4*h + 1)*(11*h + 2)
Let m(n) be the first derivative of 28 + 2/15*n**3 + 0*n + 4/5*n**2. Determine u, given that m(u) = 0.
-4, 0
Let t(w) = 16*w**3 + 5*w**2 + 17*w - 56. Let n(c) = -9*c**3 - 2*c**2 - 9*c + 28. Let u(a) = 9*n(a) + 5*t(a). What is x in u(x) = 0?
-2, 2, 7
Let o be ((-5)/(-16))/((-280)/(-2352)). Determine s, given that -3/8*s**4 + 9/8*s - o*s**2 + 0 + 15/8*s**3 = 0.
0, 1, 3
Let i(b) be the third derivative of -1/21*b**7 + 0*b**3 + 0 - 1/60*b**6 + 1/12*b**4 + 1/6*b**5 - 4*b**2 + 0*b. Factor i(h).
-2*h*(h - 1)*(h + 1)*(5*h + 1)
Let u = 165/2 + -817/10. Find s, given that 8/5*s**3 + 2/5*s**4 + 0 + u*s + 2*s**2 = 0.
-2, -1, 0
Let m(y) be the third derivative of -y**7/2415 + 7*y**6/1380 + 17*y**5/690 + 3*y**4/92 + 2*y**2. Let m(c) = 0. What is c?
-1, 0, 9
Let d(u) = u**4 + u**3 - 3*u**2 + u - 1. Let r(p) = 3*p**4 + 12*p**3 - 42*p**2 + 40*p - 15. Let n(s) = -6*d(s) + 3*r(s). Find o, given that n(o) = 0.
-13, 1
Let k(m) be the first derivative of -2*m**3/15 - 2*m**2/5 + 7. Factor k(t).
-2*t*(t + 2)/5
Let u(r) be the first derivative of -4*r**5/5 - 8*r**4 - 20*r**3 + 8*r**2 + 80*r - 452. Solve u(b) = 0.
-5, -2, 1
Factor -21/2 - 83/8*j + 1/8*j**2.
(j - 84)*(j + 1)/8
Let d be 0*(-3)/(-9) + (-16)/2. Let m be (-2)/(-4)*2*(-2)/d. Let 0 + m*a**5 - 1/4*a + 0*a**3 - 1/2*a**2 + 1/2*a**4 = 0. What is a?
-1, 0, 1
Let v(l) be the second derivative of 0 + 1/6*l**3 + 0*l**2 - 17*l - 3/4*l**4. Factor v(a).
-a*(9*a - 1)
Let s = 1085 + -1078. Let r(b) be the third derivative of 0*b**3 + 0 + 3*b**2 - 1/90*b**5 + 2/315*b**s - 1/180*b**6 + 0*b**4 + 0*b. Factor r(l).
2*l**2*(l - 1)*(2*l + 1)/3
Let g(r) be the second derivative of -1/30*r**4 + 1/5*r**3 + 0 + 0*r**2 - 33*r. Factor g(t).
-2*t*(t - 3)/5
Factor 2/5*o**2 - 2 + 8/5*o.
2*(o - 1)*(o + 5)/5
Suppose 9 = -3*k, 5*p = -4*k + 2*k + 74. Let b be p/(-48) - (13/(-3) - 0). Factor -2*a + 16/7*a**b + 2/7 - 40/7*a**3 + 36/7*a**2.
2*(a - 1)*(2*a - 1)**3/7
Let k(p) be the first derivative of 2/11*p**4 + 0*p - 6 - 1/33*p**6 + 0*p**5 + 0*p**2 + 0*p**3. Factor k(c).
-2*c**3*(c - 2)*(c + 2)/11
Let g = 172 + -173. Let p be (0 - g)*22/44. Solve p*m + 0*m**2 - 1/2*m**3 + 0 = 0.
-1, 0, 1
Let i be ((-2616)/(-36))/((-6)/45 - 0). Let x = -2673/5 - i. Determine s so that 4/5*s**4 + 24/5*s**3 + 16/5 + 48/5*s + x*s**2 = 0.
-2, -1
Let k(t) be the second derivative of 0*t**2 + 1/28*t**4 + 1/98*t**7 - 3/140*t**5 + 11*t + 0*t**3 + 0 - 1/70*t**6. What is u in k(u) = 0?
-1, 0, 1
Factor 20/7*h**2 - 286/7*h + 6/7*h**3 + 180/7.
2*(h - 5)*(h + 9)*(3*h - 2)/7
Let r(z) be the first derivative of 5*z**6/6 + 55*z**5 + 265*z**4/4 - 275*z**3/3 - 135*z**2 + 348. What is p in r(p) = 0?
-54, -1, 0, 1
Factor 27848/3 + 2/3*b**2 + 472/3*b.
2*(b + 118)**2/3
Let l(i) be the second derivative of -i**4/24 + i**3 + 13*i**2/4 - 2*i + 39. Solve l(m) = 0 for m.
-1, 13
Let d = 76 - 64. Let m be ((-1)/2)/(15/d)*-9. Suppose -m*i**3 + 8/5*i**4 + 12/5*i**2 - 2/5*i + 0 = 0. What is i?
0, 1/4, 1
Let d(i) = -25*i**2 + 25*i + 17. Let x be (-128)/20 - (-4)/10. Let u(q) = 3*q**2 - 3*q - 2. Let t(y) = x*d(y) - 51*u(y). Let t(g) = 0. What is g?
0, 1
Factor 44*f**2 - 40*f**2 + 5*f + 3*f.
4*f*(f + 2)
Let g(a) be the second derivative of -a**7/1365 - 7*a**6/2340 - a**5/260 - 5*a**3/6 + 2*a. Let z(b) be the second derivative of g(b). Factor z(m).
-2*m*(m + 1)*(4*m + 3)/13
Suppose 4*d - 3*t = -15 - 13, 3*t = -2*d - 32. Let i(o) = -2*o**2 - 19*o + 23. Let m be i(d). Suppose m*k**2 - 9*k + 5*k**4 + k - k**2 - 9*k**4 = 0. What is k?
-2, 0, 1
Find o, given that -4/5*o**3 - 164/5*o - 16 - 88/5*o**2 = 0.
-20, -1
Factor -4*r**4 - 18*r**3 - 45*r**3 - 6*r**2 + 53*r**3 - 5*r**2 + 5*r**4.
r**2*(r - 11)*(r + 1)
Determine q, given that 0 + 1/6*q**5 + 1/3*q - 1/6*q**2 + 1/6*q**4 - 1/2*q**3 = 0.
-2, -1, 0, 1
Suppose 4*a = 3*a - 8. Let p be -2 - (a + 3 + 0). Let 2*g**2 - 4 - p*g + 5*g + 0*g = 0. What is g?
-2, 1
Let v(g) be the second derivative of -g**5/40 - g**4/8 + g**3/12 + 3*g**2/4 + 2*g - 3. Find f such that v(f) = 0.
-3, -1, 1
Let b(u) be the first derivative of u**4/36 + 2*u**3/9 + 2*u**2/3 - 16*u - 2. Let j(y) be the first derivative of b(y). Factor j(m).
(m + 2)**2/3
Let c = 14 - -22. Factor 24 + 4*m**3 + 12*m**2 + 3 - 7 - c*m.
4*(m - 1)**2*(m + 5)
Let j(k) be the first derivative of 16 - 10/3*k**4 + 100/3*k**3 + 1250/3*k + 2/15*k**5 - 500/3*k**2. Find i, given that j(i) = 0.
5
Factor 4*m**5 + 4*m**3 - 27*m**4 - 29*m**4 + 0 + 48*m**4 + 0.
4*m**3*(m - 1)**2
Let q be ((-2)/(-7) + (-3366)/(-126))/1. Let z be (q/(-48))/((-15)/20). Factor 135/2*j**3 + 729/4 + 405/2*j**2 + 45/4*j**4 + z*j**5 + 1215/4*j.
3*(j + 3)**5/4
Let i(m) = -m**5 - m**4 - m**3 + m**2 - m. Let t(z) = 37*z**4 + 0*z - 11*z**5 + 2*z + 5*z - 5*z**2 - 7*z**3. Let r(s) = 14*i(s) + 2*t(s). Factor r(x).
-4*x**2*(x - 1)*(3*x - 1)**2
Let m(r) = 2*r - 3*r**2 + 10*r + 7*r**2 - 6 + 19. Let j = -5 + 0. Let v(z) = 2*z**2 + 6*z + 7. Let h(x) = j*v(x) + 3*m(x). Let h(g) = 0. What is g?
-2, -1
Let h(q) = -5*q**3 - 48*q**2 - 12. Let d(g) = -g**3 - 12*g**2 - 3. Let b(t) = -9*d(t) + 2*h(t). Let m be b(12). Determine j so that j**m + 0 + 3*j**3 + 0 = 0.
0
Let s(h) be the third derivative of h**7/15 + h**6/20 - 2*h**5/15 + 54*h**2 - 2. Factor s(r).
2*r**2*(r 