tor -3/2*w**2 - 3/8*w**3 - 3/4 - c*w.
-3*(w + 1)**2*(w + 2)/8
Suppose 10*p - 16 = 6*p. Solve 0*y**2 + 16*y**3 + 6*y**2 + 8*y + 12*y**2 + 2*y**p + 3*y**4 + 1 = 0 for y.
-1, -1/5
Factor 1/4*l**2 + 69/4 - 35/2*l.
(l - 69)*(l - 1)/4
Let r = -131/50 + 68/25. Determine s, given that -s + 5/2 + r*s**2 = 0.
5
Solve 990 - 492 + 5*m**2 - 498 - 5*m**3 + 10*m = 0 for m.
-1, 0, 2
Factor 45/4*q**3 + 0 + 81/4*q**2 + 39/4*q + 3/4*q**4.
3*q*(q + 1)**2*(q + 13)/4
Let s(f) = f**3 - f**2 - 8*f + 1. Let h be s(4). Factor c**4 - 2*c**5 + h*c - 17*c + c**4.
-2*c**4*(c - 1)
Let k(i) = i**2 + 3*i + 2. Let f be k(-3). Let c(b) = b**3 - 2*b**2 + 2. Let r be c(2). Factor -4*m**4 - f*m + 0*m**4 - 8*m**3 + r*m**4 - 6*m**2 + 2*m**3.
-2*m*(m + 1)**3
Let z(s) be the second derivative of s**8/20160 - s**7/945 + 13*s**6/2160 - s**5/60 - s**4/4 - 38*s. Let y(r) be the third derivative of z(r). Factor y(x).
(x - 6)*(x - 1)**2/3
Let w be 9/2*((-234)/26 + (-340)/(-36)). Suppose 32/3*g**w + 6 + 16*g = 0. Calculate g.
-3/4
Let n(m) = m**3 + 7*m**2 - 19*m - 21. Let l be n(-9). Let t(d) = -d**3 - 11*d**2 + 12*d. Let u be t(l). Factor 0*b**2 + u*b + b**4 + 0 + 1/3*b**5 + 2/3*b**3.
b**3*(b + 1)*(b + 2)/3
Suppose -3 - 24 = -9*k. Let l(s) be the second derivative of -3*s + 0*s**2 + 0 + 4/21*s**7 + 1/5*s**5 + 0*s**4 + 0*s**k - 2/5*s**6. Find v such that l(v) = 0.
0, 1/2, 1
Suppose -7*c = -13 + 69. Let d(w) = 12*w**3 - 8*w**2 - 12*w + 16. Let b(r) = r**3 - r**2 + 1. Let y(g) = c*b(g) + d(g). Factor y(q).
4*(q - 1)**2*(q + 2)
Determine a so that -3630 - 140*a**2 - 34*a + 1299*a + 22*a**3 - 17*a**3 = 0.
6, 11
Solve -1/3*l**2 + 6 + l = 0.
-3, 6
Suppose -6*a + 3*a - 9 = 3*k, 0 = -4*a - 3*k - 11. Let g be a + (2/(-3))/(3/(-18)). Factor 2 + 2/9*u**g + 4/3*u.
2*(u + 3)**2/9
Let l(p) be the third derivative of 0*p + 0 + 1/120*p**6 - 5*p**2 + 0*p**3 - 1/15*p**5 + 1/6*p**4. Factor l(h).
h*(h - 2)**2
Let h(c) = -11*c**2 + 17*c - 11. Let n(x) = 5*x**2 - 8*x + 5. Let p(z) = -2*h(z) - 5*n(z). Factor p(v).
-3*(v - 1)**2
Let w be (14/20)/(29/3 + -9). Let s(k) be the first derivative of w*k**4 + 2/5*k**3 + 0*k + 9/25*k**5 + 0*k**2 - 3. Determine v so that s(v) = 0.
-2, -1/3, 0
Let c(a) = 3*a + 2. Let g be c(0). Factor 4*t**2 - t**g + 7*t**2 + 11 + 5 + 44*t.
2*(t + 4)*(5*t + 2)
Let g be 501/21 + 116/28 + -4. Let a be ((-2)/g)/((-8)/16). Determine v, given that 1/3*v + a*v**2 + 0 = 0.
-2, 0
Factor -2*q**2 - 32*q**2 + 20*q**2 - 10*q**2 - 34*q + 3*q**3 - 59*q - 66.
3*(q - 11)*(q + 1)*(q + 2)
Let f(k) be the first derivative of -k**3/2 - 43*k**2/4 - 7*k - 74. Solve f(o) = 0 for o.
-14, -1/3
Let c(j) = j**2 + j - 30. Let s be c(-6). Let o(k) be the second derivative of 0 + 0*k**3 + s*k**2 + 0*k**4 - 1/80*k**5 - 2*k. Suppose o(l) = 0. Calculate l.
0
Let q be 2 + -2 - (1 + (-202)/(-4)). Let j = -51 - q. Let -j*d**2 - 1/4*d + 1/4*d**5 + 0 + 0*d**3 + 1/2*d**4 = 0. Calculate d.
-1, 0, 1
Suppose -s + 4*t = -4, -t = 3*s - 38 - 26. Factor -s*l - 12 - 3*l**3 - 16*l - 12 - 18*l**2.
-3*(l + 2)**3
Let o(v) = 4 - v + 3 - 1 - 5. Let n(s) = -s**2 + 10*s - 9. Let d(z) = -5*n(z) - 40*o(z). Determine f so that d(f) = 0.
1
Let t(f) be the third derivative of 0 - 4/9*f**3 - 1/90*f**5 + 0*f - 9*f**2 + 5/36*f**4. Factor t(n).
-2*(n - 4)*(n - 1)/3
Let d(b) be the first derivative of b**4/2 + 20*b**3/3 + 32*b**2 + 64*b - 210. Factor d(k).
2*(k + 2)*(k + 4)**2
Let m(l) be the second derivative of l**7/560 - l**6/80 + 3*l**5/160 + 9*l**2/2 + 27*l. Let f(q) be the first derivative of m(q). Factor f(h).
3*h**2*(h - 3)*(h - 1)/8
Suppose 2/3*a**2 + 34/3 - 12*a = 0. What is a?
1, 17
Let b(w) be the second derivative of w**6/10 - w**5/20 - 507*w. Factor b(d).
d**3*(3*d - 1)
Let s = 4 + 2. Factor 4 - s*a**2 + 9*a**3 - 1 - 3*a**4 - 9*a + 3 + 3*a**2.
-3*(a - 2)*(a - 1)**2*(a + 1)
Let u be (0 - (-12)/10)/(4/10). Let f(r) be the first derivative of 3/8*r**2 + 6 + 0*r - 1/12*r**u. Factor f(d).
-d*(d - 3)/4
Let n(x) be the first derivative of 2*x**3/63 - 332*x**2/21 + 55112*x/21 + 153. What is p in n(p) = 0?
166
Let f = 3 + 0. Let -6 - f - 2*u**2 + 7 - 6*u - 2 = 0. What is u?
-2, -1
Let o(b) be the first derivative of -b**6/12 + 13*b**5/5 + 27*b**4/8 - 118. Let o(c) = 0. What is c?
-1, 0, 27
Let n(u) be the first derivative of 15*u**6/2 - 57*u**5 - 205*u**4/4 - 35*u**3/3 + 65. Factor n(d).
5*d**2*(d - 7)*(3*d + 1)**2
Let n(v) = v**3 + 9*v**2 + 9*v + 1. Suppose -2*d + 6*d = -28. Let g be n(d). Factor g*w**2 + w - w - 32*w**2 - 2*w**3.
-2*w**2*(w - 2)
Find n such that -2/7*n**3 + 52/7 + 102/7*n + 48/7*n**2 = 0.
-1, 26
Let s(o) be the second derivative of o**4/30 + 4*o**3/5 + 27*o**2/5 - 4*o + 5. Factor s(y).
2*(y + 3)*(y + 9)/5
Suppose -29*y + 3 = -28*y. Factor -15*o**2 - 3*o**y - 6*o - 11*o - 15 - 4*o + 6.
-3*(o + 1)**2*(o + 3)
Solve 1/5*h**4 + 0 + h**2 + 0*h + 6/5*h**3 = 0.
-5, -1, 0
Let c = 45 - 26. Suppose 0*r = -5*r - 3*x + c, r - 4*x = -10. Factor 19*i**5 - 14*i**5 + 10*i**r + 5*i - 10*i**5 - 10*i**4.
-5*i*(i - 1)*(i + 1)**3
Let w(n) be the first derivative of 9*n**5/5 - 61*n**4/4 + 58*n**3/3 + 80*n**2 + 32*n + 133. Factor w(f).
(f - 4)**2*(f + 1)*(9*f + 2)
Suppose 7 = g - 0*g. Let v(m) = g*m**4 - 9*m**3 + 8*m - m**3 - 8 - m**2 + 0*m**4. Let z(n) = n**4 - n**2 - n - 1. Let l(w) = -v(w) + 4*z(w). Factor l(s).
-(s - 2)**2*(s + 1)*(3*s - 1)
Let x = -6 - 16. Let t(n) = -15*n**4 - 15*n**3 - 7*n**2 + 15*n. Let a(y) = -4*y**4 - 4*y**3 - 2*y**2 + 4*y. Let f(r) = x*a(r) + 6*t(r). Factor f(l).
-2*l*(l - 1)*(l + 1)**2
Solve -437/6*r - 20/3*r**2 - 1/6*r**3 - 361/3 = 0 for r.
-19, -2
Let b(m) be the third derivative of m**5/20 - m**4/3 - m**3/2 - m**2 - 63*m. What is q in b(q) = 0?
-1/3, 3
Let b(x) be the second derivative of -x**6/165 - 38*x**5/55 - 794*x**4/33 - 1824*x**3/11 - 5184*x**2/11 + 720*x. Suppose b(c) = 0. What is c?
-36, -2
Let x(d) = d**3 + 7*d**2 + 186*d + 880. Let w be x(-5). Factor w*k**2 + k**3 + 0 - 1/2*k**5 - 1/2*k**4 + 0*k.
-k**3*(k - 1)*(k + 2)/2
Let p = -116 + 121. Let b(x) be the third derivative of -1/60*x**p - 2/3*x**3 + 0*x + 0 + 1/6*x**4 + 3*x**2. Factor b(f).
-(f - 2)**2
Let r(x) be the second derivative of x**5/30 - x**3/3 + 29*x**2/2 + 6*x. Let g(q) be the first derivative of r(q). Factor g(p).
2*(p - 1)*(p + 1)
Factor -75*t**2 - 24*t + 128*t**3 - 42*t**2 + 60*t**4 + 31 - 31 - 47*t**2.
4*t*(t - 1)*(t + 3)*(15*t + 2)
Let a(z) = 28*z**2 + 3*z + 8. Let m(s) = -13*s**2 - s - 4. Let n(u) = -6*a(u) - 13*m(u). Factor n(i).
(i - 4)*(i - 1)
Let i be (36/(-24))/((-18)/16). Let a be 57/95 - (-1)/15. Factor -i + a*k + 2/3*k**2.
2*(k - 1)*(k + 2)/3
Let r(p) be the first derivative of 0*p - 1/4*p**2 - 29 + 1/16*p**4 - 1/12*p**3. Factor r(l).
l*(l - 2)*(l + 1)/4
Let j(v) be the first derivative of 7/2*v**2 + 5/4*v**4 - 24 + 3*v**3 + 2*v + 1/5*v**5. Find o such that j(o) = 0.
-2, -1
Let x(r) be the first derivative of -r**4/36 + 4*r**3/9 - 8*r**2/3 - 2*r - 6. Let k(t) be the first derivative of x(t). Let k(p) = 0. Calculate p.
4
Let s(d) be the second derivative of 1/45*d**6 + 1/63*d**7 - 1/18*d**4 - 1/30*d**5 + 0*d**3 + 0*d**2 - d + 0. Solve s(r) = 0.
-1, 0, 1
Let a(m) be the first derivative of -m**5 + 10/3*m**3 - 5/6*m**6 - 5*m + 5/2*m**4 - 3 - 5/2*m**2. Factor a(c).
-5*(c - 1)**2*(c + 1)**3
Suppose 0 = -0*n - 0*n - 5*n. Let y(m) be the third derivative of 0*m + 1/84*m**4 + 9*m**2 + 0*m**3 + 1/140*m**6 + n + 2/105*m**5. Let y(k) = 0. What is k?
-1, -1/3, 0
Suppose 143 = 14*r - 417. Suppose -r*f = -34*f. Factor 0*v - 1/9 + 2/9*v**2 + f*v**3 - 1/9*v**4.
-(v - 1)**2*(v + 1)**2/9
Let v = 13 + -28. Let j be (6/v)/((-9)/5 - 1). Factor -j*q**2 - 4/7 - 4/7*q.
-(q + 2)**2/7
Let w(f) be the third derivative of -5/14*f**4 - 25/21*f**3 + 11/210*f**5 + 1/35*f**6 + 0 - 4/735*f**7 + 0*f - 6*f**2. Factor w(m).
-2*(m + 1)**2*(2*m - 5)**2/7
Let h(y) be the first derivative of 3*y**4/4 - 3*y**3 - 33*y**2 + 72*y - 157. Factor h(q).
3*(q - 6)*(q - 1)*(q + 4)
Let y(q) be the third derivative of -19*q**2 - 1/4*q**4 + 0 + 0*q - 1/20*q**5 + 3/2*q**3. Factor y(i).
-3*(i - 1)*(i + 3)
Let h(z) be the first derivative of 9*z**4/32 - 34*z**3 + 541*z**2/16 - 45*z/4 - 825. Determine p so that h(p) = 0.
1/3, 90
Let h be 560/(-350) - -2*1. Solve h*z + 8/5 - 8/5*z**2 - 2/5*z**3 = 0 for z.
-4, -1, 1
Suppose w - 6*w + 69 = -3*b, -3*b - 45 = -3*w. Factor 3 - 1372*u**4 + w*u +