. Factor s(j).
j**3*(j - 1)**2
Suppose c = -o + 1, -77*o + 5*c = -74*o - 11. Factor 4/5 - 1/5*r**o + 3/5*r.
-(r - 4)*(r + 1)/5
Let u = 8 + 2. Let r = -17 - -20. Determine v so that 8 + 113*v**2 + 44*v + 42*v**r - 29*v**2 + 36*v**3 - u*v**3 + 20*v**4 = 0.
-1, -2/5
Let w(g) = 4*g**4 - 148*g**3 + 614*g**2 - 628*g. Let o(p) = 2*p**3 - p**2 - 2*p. Let d(u) = 10*o(u) - w(u). Suppose d(f) = 0. What is f?
0, 2, 38
Suppose 2*k - h - 22 = 0, 0*k + 4*h = -5*k + 29. Factor 3*p**2 + 2*p - 12*p + 2 + k*p**2 - 4*p**2.
2*(p - 1)*(4*p - 1)
Factor 8*u**2 - 81 + 45/2*u + 1/2*u**3.
(u - 2)*(u + 9)**2/2
Let q = -95/16 - -507/80. Factor 4/5*m**2 - 4/5 - q*m + 2/5*m**3.
2*(m - 1)*(m + 1)*(m + 2)/5
Factor 4/3*g + 2/9*g**2 + 0.
2*g*(g + 6)/9
Let z = 3677/2 - 1838. Factor z*u**3 + 0 - 3*u**2 + 5/2*u.
u*(u - 5)*(u - 1)/2
Let a = 10 - 0. Determine t, given that 10 - 2 - a*t - 8 - 5*t**2 = 0.
-2, 0
Let h(a) be the second derivative of -3*a + 0 + 0*a**3 + 27/8*a**2 - 1/16*a**4. Factor h(r).
-3*(r - 3)*(r + 3)/4
Suppose 11751 - 11731 = 10*x. What is u in -4/13 - 2/13*u**3 + 2/13*u + 6/13*u**x - 2/13*u**4 = 0?
-2, -1, 1
Let i = 3469/15609 - 1/46827. Find c, given that 0 + 2/3*c - i*c**2 = 0.
0, 3
Let q(v) = -3*v**2 + 5*v. Suppose -3*d = -j + 66 - 7, j = -3*d - 67. Let h(x) = -10*x**2 + 16*x + 1. Let p(y) = d*q(y) + 6*h(y). Suppose p(z) = 0. Calculate z.
1, 2
Solve -74/7*n - 1/7*n**2 - 1369/7 = 0.
-37
Suppose -t - 2*n + 14 = 0, -35 = -5*t - n - 2*n. Let -4/13*h**2 + 2/13 + 0*h**3 + 0*h + 2/13*h**t = 0. Calculate h.
-1, 1
Determine k, given that -8 + 1/2*k**3 - 7*k**2 - 31/2*k = 0.
-1, 16
Factor -5*u**2 + u**5 + 7*u**4 + 5*u**2 + 9*u**2 + 12*u**3 + 3*u**3.
u**2*(u + 1)*(u + 3)**2
Suppose -49*n + 74 + 24 = 0. Let f be (1/(-3))/(5/(-20)). Find g such that 2/3*g**3 + 0 + 2/3*g - f*g**n = 0.
0, 1
Find t such that 32/5*t**2 + 4/5*t**4 + 0 + 0*t + 24/5*t**3 = 0.
-4, -2, 0
Let o(y) be the second derivative of 11*y**4/24 - 13*y**3/12 + y**2/2 + 92*y. Suppose o(d) = 0. What is d?
2/11, 1
Let d be (7 + -10)/(6/(-4)). Let x(t) = -5*t**2 - 6*t. Let m(y) = -y**2. Let v(s) = d*x(s) - 6*m(s). Determine r, given that v(r) = 0.
-3, 0
Let z be 2*(2 + 232/(-120)). Let g(t) be the second derivative of -3/10*t**5 + 4*t + z*t**6 - t**2 - 1/6*t**4 + t**3 + 0. Factor g(p).
2*(p - 1)**2*(p + 1)*(2*p - 1)
Determine q, given that -8/13*q**2 + 0*q + 8/13*q**3 + 0 + 2/13*q**4 - 2/13*q**5 = 0.
-2, 0, 1, 2
Let o(f) = 3*f**4 + 4*f**3 - 14*f**2 - 40*f - 30. Let t(v) = 9 + 50 - 31*v**4 + 24*v**4 + 80*v + 29*v**2 - 9*v**3. Let g(z) = 5*o(z) + 2*t(z). Factor g(c).
(c - 4)*(c + 2)**3
Suppose -257*a = -207*a - 100. Factor -8/3*l - 2/3*l**a - 8/3.
-2*(l + 2)**2/3
Suppose 13*c = 17*c - 20. Find p, given that -10*p**5 + 4*p**c - 12*p + 3*p**5 + 18*p**4 + 36*p**2 - 39*p**3 = 0.
0, 1, 2
Suppose 5*v + 2 = 9*v + 2*q, 0 = -4*v + 5*q + 37. Find s such that -3/2*s**4 + 0 - v*s**5 + 0*s + 15/2*s**3 - 3*s**2 = 0.
-2, 0, 1/2, 1
Let h = -60 - -63. Let i(d) = -35*d**4 + 63*d**3 + 67*d**2 + d. Let t(g) = -12*g**4 + 21*g**3 + 23*g**2. Let n(u) = h*i(u) - 8*t(u). Let n(w) = 0. Calculate w.
-1/3, 0, 3
Let f be (-74)/(-14) - (-24)/(-84). Suppose 2*z**2 - 6*z**3 + 0*z**4 + 3*z**5 + 6*z**4 - 2*z**f - 3*z**5 = 0. What is z?
0, 1
Find t such that t + 5*t - 12*t**2 + 17*t + 7 + 10*t + 2 = 0.
-1/4, 3
Suppose 0*i**2 + 8*i**2 - 4*i**2 + 13556 + 808*i + 27248 = 0. Calculate i.
-101
Suppose 0 = j + 2*r - 6, j + 2*r + 2*r - 2 = 0. Factor -k - 2*k - 5*k**2 - 2*k + j.
-5*(k - 1)*(k + 2)
Let l(n) = 156*n + 164. Let w(a) = -a**2 - 312*a - 329. Let j(k) = -9*l(k) - 4*w(k). Determine c, given that j(c) = 0.
-1, 40
Let z(u) = 0*u**5 + 9*u**3 + 7 - 4 - 5*u - u**2 - 7*u**4 + 7*u**5. Let t(q) = -q**5 - q**4 - q**3 + q**2 + q - 1. Let k(o) = -3*t(o) - z(o). Factor k(w).
-2*w*(w - 1)**3*(2*w + 1)
Let d(f) be the second derivative of -5*f**7/18 + 83*f**6/18 - 233*f**5/12 - 595*f**4/36 + 200*f**3/3 + 30*f**2 + 66*f. Let d(n) = 0. What is n?
-1, -1/7, 1, 6
Let y = 1987/13860 + -1/1980. Factor -6/7*q**3 - y*q + 0 - 4/7*q**2 - 1/7*q**5 - 4/7*q**4.
-q*(q + 1)**4/7
Let x be -6*1/(-3)*1. Suppose 453 = 20*l + 453. Find a, given that -3/2*a**x - 3/4*a**3 - 3/4*a + l = 0.
-1, 0
Let v(x) be the first derivative of x**4/26 + 136*x**3/39 + 1085*x**2/13 - 4900*x/13 - 211. Factor v(u).
2*(u - 2)*(u + 35)**2/13
Let u = 31 + -27. Let t be 3 - -1 - (4 - u). Let -2*d**2 + 4*d**t + 4*d**2 - 2*d**2 = 0. What is d?
0
Let w = 1580/3 - 532. Let r = w + 6. Factor -2/3*t**3 + r*t + 2/3*t**2 + 0 - 2/3*t**4.
-2*t*(t - 1)*(t + 1)**2/3
Let m(p) = 5*p**3 - 2*p**2 - 15*p + 4. Let a(o) = 9*o**3 - 4*o**2 - 28*o + 6. Let i(h) = -4*a(h) + 7*m(h). Factor i(t).
-(t - 4)*(t + 1)**2
Let v = 415 + -411. Let k(l) be the second derivative of 0*l**v - 1/14*l**7 + 3*l + 3/20*l**5 + 0*l**3 + 0*l**6 + 0 + 0*l**2. Determine a, given that k(a) = 0.
-1, 0, 1
Let l = -12355 + 12359. Determine p, given that 0 + 18*p**2 + 12*p + 9*p**3 + 3/2*p**l = 0.
-2, 0
Let c(y) = -y**2 + 3*y + 20. Let v be c(6). What is q in -12/7*q + 16/7 - 4/7*q**v = 0?
-4, 1
Let h = 88 - 52. Let t be 3*(-8)/h*-3. Factor 4*v**2 - t*v**2 + 2 - v**2 - 2*v - v.
(v - 2)*(v - 1)
Let k(q) be the second derivative of q**5/20 - q**4/4 - 8*q**3/3 - 6*q**2 + 71*q. Factor k(d).
(d - 6)*(d + 1)*(d + 2)
Let w(r) = 12*r + 51. Let m be w(-4). Suppose 3*b + 6 = 2*i + 7, m*i - 18 = -2*b. Let -8/7*f**b + 18/7*f + 4/7 + 6/7*f**2 = 0. What is f?
-1, -1/4, 2
Determine a so that 6394/5*a**3 - 3650*a**2 - 157/5*a**4 - 5929/5 + 1/5*a**5 + 17941/5*a = 0.
1, 77
Solve -9189*t**4 + 0*t**2 + 9199*t**4 - 5*t**5 + 0*t**2 = 0 for t.
0, 2
Let b be -3*(0 + -1)*1. Let v = 1613 - 1611. Let 406 + 239 - 20 + 2*p**b - 22*p**3 + 150*p**v - 500*p + p**4 = 0. Calculate p.
5
Solve 0 + 12*q**2 + 2/5*q**3 + 90*q = 0 for q.
-15, 0
Let v(y) be the second derivative of y**6/20 + 6*y**5/5 - 9*y**4/4 - 4*y**3 + 51*y**2/4 - 2*y + 1. Let v(x) = 0. Calculate x.
-17, -1, 1
Let z be ((-100)/(-30))/((-2)/(-24)). Suppose -4*n - 9 = 5*b, 0 = -4*n - n + 4*b + z. Find t such that 0*t - n*t - 1 + t**2 + 4*t = 0.
-1, 1
Suppose 0 + 24/5*y + 21/5*y**2 - 3/5*y**3 = 0. What is y?
-1, 0, 8
Let j = 1201 - 3601/3. Let t(h) be the third derivative of 0*h + 1/15*h**5 + 0 - 6*h**2 + 1/6*h**4 - j*h**3 - 1/30*h**6. Factor t(v).
-4*(v - 1)**2*(v + 1)
Let s be 10/2*30/25. Let t(o) be the first derivative of -1/9*o**s + 0*o + 4 - 2/15*o**5 + 2/9*o**3 + 0*o**2 + 1/6*o**4. Factor t(v).
-2*v**2*(v - 1)*(v + 1)**2/3
Let d(o) be the second derivative of o**4/102 + 3*o**3/17 + 14*o**2/17 - 103*o. Factor d(c).
2*(c + 2)*(c + 7)/17
Let o(c) = c**3 - 3*c**2 + 6*c. Let u = 7 + -3. Suppose u*w = 9 + 15. Let v(l) = l**3 - 4*l**2 + 7*l. Let x(d) = w*o(d) - 5*v(d). Find h, given that x(h) = 0.
-1, 0
Suppose j - 4*j - 10 = -4*n, 0 = -4*j - 4*n + 24. Suppose 4*a - 3*s = 4, -3*s = j*a - 4*a - 4. Factor 3/2*p**a + 3*p**3 - 3*p + 9/2 - 6*p**2.
3*(p - 1)**2*(p + 1)*(p + 3)/2
Solve 24*f + 4/3*f**2 + 68/3 = 0 for f.
-17, -1
Factor -77/3*z + 13 + 1/3*z**3 + 37/3*z**2.
(z - 1)**2*(z + 39)/3
Let d(v) be the first derivative of -1/2*v**3 + 3/2*v - 3/8*v**2 + 3/16*v**4 - 1. Suppose d(i) = 0. Calculate i.
-1, 1, 2
Let d(l) be the third derivative of -l**9/3780 + l**8/420 - l**7/126 + l**6/90 + 7*l**4/12 - 3*l**2. Let t(y) be the second derivative of d(y). Solve t(b) = 0.
0, 1, 2
Let h(j) = -34*j**4 + 14*j**3 + 6*j**2 + 14*j + 14. Let k(g) = 1 - 7*g**4 + 3*g**3 + 2 - 40*g**2 + 3*g + 41*g**2. Let r(f) = -3*h(f) + 14*k(f). Factor r(c).
4*c**2*(c - 1)*(c + 1)
Suppose -a**2 - 9 - 3*a + 6 + 9 - 2*a**2 = 0. What is a?
-2, 1
Let n(o) be the second derivative of -o**6/20 - 63*o**5/20 - 481*o**4/8 - 210*o**3 - 300*o**2 + o + 84. Factor n(y).
-3*(y + 1)**2*(y + 20)**2/2
Suppose 0 = -4*t + 16 - 8. Suppose t*n - 3*n = -4*n. Suppose 0 + 2/3*y**3 + 1/3*y**4 + n*y**2 + 0*y = 0. What is y?
-2, 0
Let m = -49 + 46. Let p(i) = -i**3 - i**2 - 1. Let g(j) = j**5 - 3*j**4 + 4*j**3 + 6*j**2 - 2*j + 3. Let o(v) = m*p(v) - g(v). Factor o(f).
-f*(f - 2)*(f - 1)**2*(f + 1)
Suppose 2*m + 78 = 5*m - 4*u, -2*m = 3*u - 35. Let r be 2/3 + m/(-33). Let r - 2/5*v**2 - 2/5*v**4 + 0*v + 4/5*v**3 = 0. Calculate v.
0, 1
Let g(b) = -b**3 - 3*b**2 - 19. Let o be g(-5). Let y = o + -31. Solve y - 2/5*f**5 - 6/5*f**4 - 2/5*f**2 - 6/5*f**3 + 0*f = 0 for f.
-1, 0
Let v(l) be th