Let o be p(-5). Factor 1/2*l + i*l**3 - 1/2*l**o - 1/6.
(l - 1)**3/6
Suppose 15*p + 231 = 92*p. Factor 0*g**2 + 1/2*g**4 + g**p + 0 + 0*g.
g**3*(g + 2)/2
Determine p so that -1/8*p**2 + 5/8*p + 7/4 = 0.
-2, 7
Let u(b) be the first derivative of b**4/36 - 2*b**3/9 + 16*b + 2. Let a(y) be the first derivative of u(y). Factor a(i).
i*(i - 4)/3
Suppose -3*s + 3 = -6. Suppose 0 = -3*b - 2*y - 142 + 542, 3*b - 405 = s*y. Factor 4*z**2 - b + z + 2*z**4 + 134 + 5*z**3.
z*(z + 1)**2*(2*z + 1)
Let j = -89 + 119. Factor -m**2 + 35*m**2 - 30*m**3 + 5*m**4 - 9*m**2 + 30*m**2 - j*m.
5*m*(m - 3)*(m - 2)*(m - 1)
Let u be -18 - 156/(-6) - (-180)/(-25). Factor 0*b + u*b**5 + 16/5*b**3 + 0*b**2 + 0 - 16/5*b**4.
4*b**3*(b - 2)**2/5
Let b = 0 - 0. Suppose -5*f + b*f = 0. What is q in f + 5 - 1 + 4 - 2*q**2 = 0?
-2, 2
Let g(r) be the first derivative of -r**4/12 + 2*r**2 + 24*r + 3. Let u(f) be the first derivative of g(f). Suppose u(a) = 0. Calculate a.
-2, 2
Let n = -159 - -961/6. Let z(s) be the first derivative of 4/9*s**2 + n*s**4 + 98/45*s**5 - 16/9*s**3 + 0*s + 5. Factor z(y).
2*y*(y + 1)*(7*y - 2)**2/9
Let h(r) = -19*r**2 + 8*r + 11. Let v(f) = -f - 10. Let b be v(-7). Let o(p) = 8 - 8*p**2 + 4*p - p**2 + 0 - 3. Let z(c) = b*h(c) + 5*o(c). Factor z(x).
4*(x - 1)*(3*x + 2)
What is k in 35/4*k**2 + 15/4*k**3 - 15/4*k - 1/4*k**4 - 17/2 = 0?
-2, -1, 1, 17
Let l(q) be the first derivative of 0*q - 4/33*q**3 + 2/55*q**5 + 1/22*q**4 - 17 + 0*q**2. Find t such that l(t) = 0.
-2, 0, 1
Let k(g) be the third derivative of -5*g**8/336 - 4*g**7/21 - g**6 - 17*g**5/6 - 115*g**4/24 - 5*g**3 + 4*g**2 + 31. Suppose k(y) = 0. Calculate y.
-3, -2, -1
Let x(v) be the first derivative of 5*v**6 - 38*v**5/5 - 193*v**4/15 + 232*v**3/45 - 8*v**2/15 - 66. Let x(g) = 0. Calculate g.
-1, 0, 2/15, 2
Let b(y) = y**2 + 11*y + 29. Let o be b(-8). Factor -10*j**5 - o*j**4 + 5*j**2 - 4*j**3 + 5*j**5 + 9*j**3.
-5*j**2*(j - 1)*(j + 1)**2
Let a(p) be the second derivative of 1/6*p**4 + p**3 + 18*p + 0 + 0*p**2. Suppose a(j) = 0. What is j?
-3, 0
Let d(a) be the second derivative of a**6/20 - a**5/20 - a**4/8 + 7*a**2 - 12*a. Let g(x) be the first derivative of d(x). Factor g(z).
3*z*(z - 1)*(2*z + 1)
Suppose -39 = 34*l - 141. Factor 3*s**2 - 3/2*s**5 - 3/2 - 3/2*s - 3/2*s**4 + l*s**3.
-3*(s - 1)**2*(s + 1)**3/2
Suppose z + 3*l - 5 = 0, -2*l + 0*l - 93 = -5*z. Suppose -z*s - 12 = -20*s. Factor 25/4*p**2 + 19/4*p**3 + 1 + s*p + 7/4*p**4 + 1/4*p**5.
(p + 1)**3*(p + 2)**2/4
Let y be ((-3)/(-1165))/(49/(-5) - -10). Let d = y + 457/699. Determine b, given that d*b**2 - 2*b - 8/3 = 0.
-1, 4
Let 10/11*r**2 + 6/11*r - 2/11*r**4 + 2/11*r**3 + 0 = 0. What is r?
-1, 0, 3
Factor -1250/3 - 76832/3*k**4 - 19600*k**2 + 109760/3*k**3 + 14000/3*k.
-2*(14*k - 5)**4/3
Suppose 4*s - 10 = 2*s. Suppose 2*y - s = -t - 0*t, 0 = -3*t - 3*y + 12. Let -3*v**3 - v**5 + 2*v**t + 4*v**5 + 6*v**4 + 4*v**3 = 0. Calculate v.
-1, 0
Let z(b) be the third derivative of b**6/180 + b**5/10 + 3*b**4/4 + 3*b**3 + 2*b**2 + 21*b. Solve z(g) = 0.
-3
Let x(u) = 5*u**2 + 5*u - 8. Let b(a) = 41*a**2 + 39*a - 65. Let c(m) = -7*m**3 + m**2 + 6*m + 3. Let z be c(-2). Let l(p) = z*x(p) - 6*b(p). Factor l(o).
3*(o + 3)*(3*o - 2)
Let t(s) be the second derivative of -s**8/6720 + s**7/504 - 7*s**6/720 + s**5/40 + s**4/12 - 5*s. Let u(z) be the third derivative of t(z). Factor u(m).
-(m - 3)*(m - 1)**2
Let c(i) be the first derivative of -i**8/15960 - i**7/2660 + i**5/285 + 5*i**3/3 + 3. Let r(u) be the third derivative of c(u). Factor r(w).
-2*w*(w - 1)*(w + 2)**2/19
Let y = -106 + 109. Let f be (-3 + y)/((-6)/2 + 5). Factor f + 3/5*v - 12/5*v**2 + 9/5*v**3.
3*v*(v - 1)*(3*v - 1)/5
Let x(o) = -32*o + 2. Let z be x(-1). Suppose -5*l - 47 = -4*y, 3*y - 3*l - z = 2*l. Factor -7*i**4 + 6*i**2 - 8 + 18*i + y*i - 19*i**3 - 3*i.
-(i - 1)*(i + 2)**2*(7*i - 2)
Let k(t) be the third derivative of t**8/840 + 4*t**7/525 - t**6/300 - 8*t**5/75 - t**4/5 - 128*t**2. Find i such that k(i) = 0.
-3, -2, -1, 0, 2
Let w(n) be the first derivative of -n**3/3 - n**2 + 3*n + 18. Determine q, given that w(q) = 0.
-3, 1
Let o(r) = -13*r**3 + 11*r**2 + 21*r + 12. Let k(w) = -63*w**3 + 54*w**2 + 105*w + 60. Let g(b) = -5*k(b) + 24*o(b). Determine n so that g(n) = 0.
-1, 4
Let u be (4 + -4 + (-4)/(-16))*-407. Let s = -98 - u. Factor 3/4*j**3 + 3/2*j**2 - 6*j**4 + 0 + s*j**5 + 0*j.
3*j**2*(j - 1)**2*(5*j + 2)/4
Let d = -3512 - -3512. Factor 3/2*y**2 + d*y + 0.
3*y**2/2
Suppose -12 = -5*h - 2. Factor -16*j**2 + 13*j + 1 + 5 + 8*j - 11*j**h.
-3*(j - 1)*(9*j + 2)
Find w, given that -14*w**2 + 4 - 22/3*w = 0.
-6/7, 1/3
Let j(r) be the second derivative of -r**7/560 - r**6/60 - r**5/20 + 2*r**3 - 3*r. Let b(t) be the second derivative of j(t). Factor b(h).
-3*h*(h + 2)**2/2
Let n = 26 + -24. Let r(j) be the second derivative of 1/20*j**5 + 1/45*j**6 - 1/6*j**2 - n*j - 1/36*j**4 + 0 - 1/6*j**3. Let r(h) = 0. Calculate h.
-1, -1/2, 1
Let o(c) be the third derivative of -c**5/80 + 3*c**4/4 - 23*c**3/8 + 208*c**2. Let o(m) = 0. Calculate m.
1, 23
Let k(c) be the first derivative of 9/2*c - 3/2*c**2 + 1/6*c**3 - 16. Let k(s) = 0. Calculate s.
3
Let c = -137 - -68. Let u = c - -71. Factor 2/9 + 2/9*w**u - 4/9*w.
2*(w - 1)**2/9
Let z(u) be the second derivative of -1/32*u**4 + 0 + 3/160*u**5 - 5/8*u**3 + 17*u - 3/2*u**2. Suppose z(v) = 0. What is v?
-2, -1, 4
Suppose c = i - 0*i + 7, c - 2*i - 12 = 0. Let k(a) be the first derivative of -3*a - 6*a**2 + 10 - c*a + 8*a - 11*a + a**4. Factor k(v).
4*(v - 2)*(v + 1)**2
Let q(v) be the third derivative of v**9/120960 - v**8/20160 - 9*v**5/20 - v**2. Let c(g) be the third derivative of q(g). Factor c(y).
y**2*(y - 2)/2
Let v be (7 - 10)/(3/(-2)). Let h = 36 - 33. Find a, given that 2/3*a + 1/3*a**h - a**v + 0 = 0.
0, 1, 2
Let h = 46429 - 46424. Let 0*z + 0 + 2/9*z**2 + 8/9*z**h + 4/9*z**3 - 14/9*z**4 = 0. Calculate z.
-1/4, 0, 1
Suppose -634 = -119*x - 12*x + 21. Find o such that -11/2*o**3 + 1 + 2*o**4 - 17/4*o - 1/4*o**x + 7*o**2 = 0.
1, 4
Let r(v) be the first derivative of v**5/270 - v**4/54 - 5*v**2/2 - 13. Let i(c) be the second derivative of r(c). Let i(p) = 0. Calculate p.
0, 2
Let v = -579 + 14477/25. Let t(n) be the first derivative of -v*n**5 + 2/5*n**2 - 1/5*n**4 + 0*n**3 - 3 + 2/5*n. Factor t(x).
-2*(x - 1)*(x + 1)**3/5
Let g(t) be the first derivative of 0*t - 3/2*t**2 - 3/4*t**4 - 2*t**3 - 13. Factor g(a).
-3*a*(a + 1)**2
Let j be ((-1785)/196)/(-17) + (-3)/12. Factor 2/7 + 2/7*i**3 - j*i - 2/7*i**2.
2*(i - 1)**2*(i + 1)/7
Suppose 0 = 7*k - 16 - 5. Factor 9*m**k + 0*m**3 + 2*m**5 + 0*m**3 + 6*m**4 - 5*m**3.
2*m**3*(m + 1)*(m + 2)
Let w(v) be the first derivative of -v**6/30 - v**5/25 + 13*v**4/20 + v**3/15 - 6*v**2/5 + 28. Let w(s) = 0. Calculate s.
-4, -1, 0, 1, 3
Let a(c) = 2*c**3 - 2*c**2 + c - 1. Let s(i) = -i**3 - 5*i + 3*i - 5*i**3 + 3*i**3 + 1 + 4*i**2. Let m(f) = -5*a(f) - 3*s(f). Factor m(w).
-(w - 1)*(w + 1)*(w + 2)
Let d(p) = p**2 + 3*p + 16. Let o be d(-7). Let g = o + -44. Factor g*z**4 + 1/2*z**3 + 0 + 0*z - 1/2*z**5 + 0*z**2.
-z**3*(z - 1)*(z + 1)/2
Let s be 36/6*1/(-3)*-1. Determine h so that 6*h**4 - 40*h**2 + 78*h**s - 42*h**2 + 2*h**5 - 6*h - 2 + 4*h**3 = 0.
-1, 1
Factor i - 7*i + 10*i + i**2 - 1 - 3*i - 19.
(i - 4)*(i + 5)
Let k = 787/20 - 118/3. Let q(w) be the second derivative of k*w**5 + 0*w**2 - 1/90*w**6 + 0 + 1/36*w**4 + 2*w + 0*w**3 - 1/126*w**7. Let q(m) = 0. Calculate m.
-1, 0, 1
Suppose 512/11 - 64/11*t + 2/11*t**2 = 0. Calculate t.
16
Let n(r) be the third derivative of -5*r**2 + 0*r**3 - 1/30*r**7 + 5/336*r**8 - 1/40*r**6 + 0*r - 1/12*r**4 + 0 + 7/60*r**5. Determine g so that n(g) = 0.
-1, 0, 2/5, 1
Let b be (4 - -1)*138/115. Suppose 0*w = -b*w + 18. Factor 1/3*i**4 - 1/3*i**2 + 0 + 1/3*i**w - 1/3*i.
i*(i - 1)*(i + 1)**2/3
Let b = 82/11 - 311/55. Let q = 1242/1565 - -2/313. Factor 8/5*g - 3/5*g**2 - b*g**3 + q.
-(g - 1)*(3*g + 2)**2/5
Let n be (-54)/(-15) + -4 - 231/(-15). Let c be 2 - 5/n - 1. Solve 1/3*y**2 - c + 1/3*y = 0 for y.
-2, 1
Let u = 3060 - 15298/5. Factor -u*z**3 + 8/5 - 16/5*z + 2*z**2.
-2*(z - 2)**2*(z - 1)/5
Let r(b) = -3*b**4 + 5*b**3 + b**2 - b + 2. Let d(y) = 2*y**4 - y**3 - y**2 - y - 1. Let k(v) = 6*d(v) + 3*r(v). Factor k(z).
3*z*(z - 1)*(z + 1)*(z + 3)
Suppose -4*r -