**4 + 16/7*c + 0.
c*(c - 2)**4/7
Let z(a) be the second derivative of -a**7/42 + a**6/6 - a**5/5 - 4*a**4/3 + 16*a**3/3 - 8*a**2 - 54*a. Let z(v) = 0. What is v?
-2, 1, 2
Let u(l) be the first derivative of -6*l + 2 + 1/4*l**4 + 3/2*l**2 - l**3. Let t(k) be the first derivative of u(k). Factor t(b).
3*(b - 1)**2
Let s(k) = 9*k**2 + 48*k - 27. Let d(y) be the third derivative of -y**5/12 - y**4 + 13*y**3/6 - 16*y**2. Let b(z) = -9*d(z) - 4*s(z). Solve b(t) = 0.
-3, 1/3
Let s(a) = a**2 + a + 1. Let b(l) = -l**2 - 8*l + 3. Let g be b(-11). Let f(r) = 35*r**2 + 45*r + 40. Let d(i) = g*s(i) + f(i). Factor d(w).
5*(w + 1)*(w + 2)
Let x = -24060/13 + 1852. Solve 2/13*i**5 - 18/13*i + 0 + x*i**3 - 12/13*i**2 + 12/13*i**4 = 0.
-3, -1, 0, 1
Let z(h) be the first derivative of 1/3*h - 1/9*h**3 - 16 + 1/6*h**2 - 1/12*h**4. Solve z(s) = 0 for s.
-1, 1
Suppose 0*q - 6/17*q**2 + 0 + 2/17*q**3 = 0. What is q?
0, 3
Let m = 61/14 + -88/21. Let l(v) be the second derivative of -m*v**2 + 0 - 1/36*v**4 + 1/9*v**3 + v. Determine z, given that l(z) = 0.
1
Let c(t) = -3*t**4 - 9*t**3 + 19*t**2 + 61*t + 34. Let g(n) = -16*n**4 - 44*n**3 + 96*n**2 + 304*n + 169. Let f(i) = -11*c(i) + 2*g(i). Factor f(l).
(l - 3)*(l + 1)**2*(l + 12)
Let u(p) = 5*p**4 - 185*p**3 + 275*p**2 + 360*p + 35. Let w(x) = x**4 - 31*x**3 + 46*x**2 + 60*x + 6. Let f(h) = 6*u(h) - 35*w(h). Factor f(z).
-5*z*(z - 2)*(z + 1)*(z + 6)
Let i(y) be the second derivative of y**4/27 - 92*y**3/27 - 94*y**2/9 + 222*y - 2. Suppose i(w) = 0. What is w?
-1, 47
Let w = -977/10 + 98. Let h(b) be the second derivative of -1/15*b**6 - 1/3*b**3 + 0*b**2 - 1/2*b**4 - 2*b - w*b**5 + 0. Let h(z) = 0. Calculate z.
-1, 0
Suppose -13*g**2 - 5*g**5 - 3*g**4 + 22*g**2 + 10*g**3 - 3 - 3*g**2 - 5*g + 0*g**5 = 0. Calculate g.
-1, -3/5, 1
Let n(v) = 2*v**2 + 3*v - 3. Let a be n(10). Determine x so that 227*x**3 - 8*x + 4*x**4 - a*x**3 - 12*x**2 = 0.
-1, 0, 2
Suppose 5*r - 4 = 4*v, -5*r = -5*v - 9*r + 36. Suppose -v*l = -5*l + 3. Factor 2/9*c**4 + 0*c**2 + 0 + 0*c + 0*c**l.
2*c**4/9
Find f, given that -219*f**2 + 41*f**4 - 71*f**3 + 511*f**3 + 235*f**2 + 384*f**2 + f**5 = 0.
-20, -1, 0
Suppose 6*i + 64 = 28. Let s be (-32)/i*(0 + (-15)/(-10)). Find q such that s*q + 4*q**2 + 2/3*q**3 + 16/3 = 0.
-2
Let h(z) be the second derivative of -z**7/1680 - z**6/288 + z**5/120 + 31*z**4/12 + 44*z. Let i(k) be the third derivative of h(k). Factor i(y).
-(y + 2)*(3*y - 1)/2
Let b(l) be the second derivative of 0*l**2 + 3/5*l**5 + 0*l**3 - 2/3*l**4 + 18/5*l**6 + 3*l - 8/3*l**7 + 0. Let b(m) = 0. What is m?
-2/7, 0, 1/4, 1
Let i be (-68)/(-20) + 10/(-25). Let k(a) be the first derivative of 2 - 2/39*a**i + 1/13*a**2 + 0*a. Find j, given that k(j) = 0.
0, 1
Let y(w) = -9*w**2 + 95*w - 28. Let g(n) = -3*n**2 + 34*n - 9. Let p(i) = -8*g(i) + 3*y(i). Factor p(j).
-(j - 3)*(3*j - 4)
Let o(z) be the first derivative of -76/3*z**3 + 160*z**2 + 7/6*z**4 + 17 - 256/3*z. Determine w so that o(w) = 0.
2/7, 8
Let a(g) = 5*g**3 - 116*g**2 - 329*g - 217. Let f(p) = p**3 - 29*p**2 - 82*p - 54. Let l(t) = -4*a(t) + 18*f(t). Factor l(y).
-2*(y + 1)*(y + 2)*(y + 26)
Let b = 5582/6965 + -2/1393. What is r in -b + 1/5*r**3 - 7/5*r - 2/5*r**2 = 0?
-1, 4
Let q(d) = -2*d**4 + 32*d**3 - 48*d**2 - 2*d + 4. Let u(b) = -5*b**4 + 96*b**3 - 144*b**2 - 7*b + 14. Let y(a) = -7*q(a) + 2*u(a). Factor y(r).
4*r**2*(r - 6)*(r - 2)
Suppose 3*b + 20 = 2*z, 3*b - 10 + 2 = -5*z. Let l be 7*b/(2/(-1)). What is o in -18*o + l*o + 13*o - 2*o**2 - 6 - o**2 = 0?
1, 2
Let d be 3/((-27)/(-2)) - (-10)/117. Solve 0*h**2 + 0 + d*h**4 + 2/13*h**5 + 0*h**3 + 0*h = 0.
-2, 0
Let t be ((-1)/(-3))/((-23)/(-207)). Determine r so that 0 + t - 20*r**2 + 28*r - 1 - 10 = 0.
2/5, 1
Factor -4/3 - 2*l - 2/3*l**2.
-2*(l + 1)*(l + 2)/3
Let g = -6/95 - -119/380. Factor -1/2*s + 0 - g*s**2.
-s*(s + 2)/4
Let g(l) be the first derivative of -3*l**5/2 - 35*l**4/8 - 25*l**3/6 - 5*l**2/4 + 582. Factor g(x).
-5*x*(x + 1)**2*(3*x + 1)/2
Let q = -270 + 384. Solve -4*p**3 + 117*p**2 - 5*p**3 + 12*p**5 - q*p**2 = 0.
-1, 0, 1/2
Let f(b) = -b**3 - 41*b**2 + 2 + 46*b**2 - 4*b + 1. Let n be f(4). Let -3*a**4 + 0*a - n*a**4 - 4*a**2 + 32*a**3 - 8*a - 14*a**4 = 0. What is a?
-2/5, 0, 1
Let o(w) be the second derivative of -w**6/96 - 5*w**5/48 - 5*w**4/16 - 19*w**2/2 - w + 19. Let t(i) be the first derivative of o(i). Solve t(n) = 0.
-3, -2, 0
Let r(v) be the second derivative of 13*v - 1/2*v**2 + 1/18*v**3 - 1/60*v**5 + 1/12*v**4 + 0. Factor r(a).
-(a - 3)*(a - 1)*(a + 1)/3
Suppose 28*t + 318 - 754 = 964. Suppose -t*s**2 + 0 + 15*s - 35/4*s**3 = 0. What is s?
-6, 0, 2/7
What is s in -1/2*s**3 - 63/2*s - 15/2*s**2 - 49/2 = 0?
-7, -1
Suppose 4*g - 9*g + 15 = 0. Suppose -8*z**2 - g*z**4 + 2*z**2 - 9*z**3 + 28*z - 3*z**2 - 31*z = 0. What is z?
-1, 0
Factor -6*p**3 - 5*p**4 + 6*p**3 - 4*p**3 - 4*p**5 + 13*p**4.
-4*p**3*(p - 1)**2
Factor -5*i + 2*i - 24*i - 3*i**2 + 3*i + 27.
-3*(i - 1)*(i + 9)
Suppose 0 = -7*m - 2 + 37. Let r(g) be the first derivative of 1/24*g**3 + 1/16*g**4 + 0*g + 0*g**2 + 1/40*g**5 + m. Factor r(y).
y**2*(y + 1)**2/8
Let t(o) be the first derivative of o**3/3 - 5*o**2/2 - 6*o + 68. Factor t(j).
(j - 6)*(j + 1)
Let g = 4 - 2. Suppose 2*p - 3*k - 4 = 0, -3*k = 3*p - 4*k - 6. Factor 4*v**p + 2*v - g*v + 2*v**3.
2*v**2*(v + 2)
Let r(f) be the third derivative of f**9/3024 - f**8/840 - f**7/840 + f**6/180 - 11*f**3/6 - 11*f**2. Let w(v) be the first derivative of r(v). Factor w(h).
h**2*(h - 2)*(h - 1)*(h + 1)
Let i(t) = 36*t**2 + 31*t - 14. Let b(v) = 31*v**2 + 32*v - 12. Let a(n) = -7*b(n) + 6*i(n). Find y such that a(y) = 0.
-38, 0
Suppose 0 + 2/13*c**3 - 4*c + 50/13*c**2 = 0. What is c?
-26, 0, 1
Let r(t) be the second derivative of t**4/30 - 32*t**3/15 - 2*t - 6. Factor r(x).
2*x*(x - 32)/5
Let h be 1128/216 - ((-4)/(-18))/1. Let k(f) be the first derivative of -f**3 + 2*f + 1 + 1/4*f**4 - 1/2*f**2 + 1/5*f**h. Factor k(x).
(x - 1)**2*(x + 1)*(x + 2)
Suppose 3*r - 16 = 5*c, 2*c - 4*c = 4. Factor 0*t**2 + 16*t**2 - r*t**2 - 4*t.
2*t*(7*t - 2)
Let v be 6/(-24) + 17/4. Suppose m = -v*m + 25. Suppose i - 10*i**2 + 0*i - m*i + 0*i = 0. What is i?
-2/5, 0
Let y = 2693/4 + -673. Let m(u) be the second derivative of 4*u - u**3 + 0*u**2 + y*u**4 + 0 + 1/2*u**6 + 6/5*u**5. Factor m(b).
3*b*(b + 1)**2*(5*b - 2)
Find k, given that -2/5*k**2 + 58/5*k - 108/5 = 0.
2, 27
Suppose 4*k - 2 = -2*f, -f = f + k - 8. Let o(w) be the third derivative of -1/20*w**f - 9*w**2 + 0*w + 3/2*w**3 - 1/4*w**4 + 0. Let o(r) = 0. What is r?
-3, 1
Suppose -48*a - 105*a + 738 = -30*a. What is w in -87/8*w**2 + a*w - 87/8*w**3 + 9/2 + 63/8*w**4 + 27/8*w**5 = 0?
-3, -2/3, 1
Let i(o) be the second derivative of 0*o**3 - 1/24*o**4 + 0*o**2 + 0 + 14*o. Factor i(g).
-g**2/2
Let h(i) be the third derivative of 5*i**7/168 - i**6/8 + i**5/5 - i**4/6 + i**3 - 16*i**2. Let z(t) be the first derivative of h(t). Factor z(n).
(n - 1)*(5*n - 2)**2
Suppose -3*u = -f - 1, 4*f + 2*u + 4 + 0 = 0. Let c be (f/(-2))/(11/44). Solve -2/3*x**3 + c*x**2 - 2*x + 2/3 = 0 for x.
1
Let c(j) be the first derivative of 13*j**4/8 - 4*j**3 + 9*j**2/4 + j - 46. Factor c(b).
(b - 1)**2*(13*b + 2)/2
Suppose 12*r**2 + 22*r + 27 - 62*r + 13*r**2 - 21*r**2 + 73 = 0. What is r?
5
Let p(s) be the second derivative of 6*s - 3/10*s**5 - 17/6*s**4 + 0 + 4*s**2 + 4*s**3 + 4/15*s**6. Suppose p(x) = 0. What is x?
-2, -1/4, 1, 2
Let q(w) be the first derivative of w**5/10 - 3*w**4/2 + 9*w**3 - 27*w**2 + 81*w/2 - 293. Solve q(n) = 0.
3
Suppose 2*q = -0*q + 10. Solve -q*o - 3 - 6 - o**2 + 5 = 0 for o.
-4, -1
Let q(a) be the first derivative of a**4/24 - 35*a**3/18 - a**2/12 + 35*a/6 + 127. Find k, given that q(k) = 0.
-1, 1, 35
Factor 31*w + 147*w**2 - 166*w**2 - 28*w + 6*w**3.
w*(w - 3)*(6*w - 1)
Let d(z) be the third derivative of z**6/40 + 12*z**5/5 - 99*z**4/8 + 25*z**3 + 295*z**2. Find k such that d(k) = 0.
-50, 1
Let u(p) be the first derivative of -4*p**5/5 - 22*p**4 - 236*p**3/3 - 76*p**2 - 214. Let u(l) = 0. What is l?
-19, -2, -1, 0
Let c = -17264 + 17266. Factor 0 + 98/17*z + 2/17*z**3 - 28/17*z**c.
2*z*(z - 7)**2/17
Let 50 + 226*v**2 - 108*v - 190*v**2 + 58 - 2*v**3 - 2*v**3 = 0. Calculate v.
3
Let v(y) = 5586*y**3 + 315*y**2 - 495*y + 51. Let d(w) = -5583*w**3 - 314*w**2 + 4