 that 9/2*d**h + 3/2*d**5 + 3*d**3 + 0*d**p + 0 + 0*d = 0.
-2, -1, 0
Let b(v) be the second derivative of -2*v**3 + 0 + 3/2*v**4 - 40*v + 3/2*v**2 - 3/5*v**5 + 1/10*v**6. Factor b(r).
3*(r - 1)**4
Let i(z) = -11*z + 7. Let l(w) be the second derivative of w**4/12 + 11*w**3/3 - 15*w**2/2 - 22*w. Let f(a) = -5*i(a) - 2*l(a). Factor f(y).
-(y - 5)*(2*y - 1)
Let r = -14 - -9. Let d = -3 - r. Factor -19*x**4 - 63*x**3 - 6*x**4 + x**2 - 12*x + 71*x**d - 122*x**4.
-3*x*(x + 1)*(7*x - 2)**2
Let s(r) be the third derivative of -3*r**3 + 1/10*r**6 + 1/35*r**7 - 1/3*r**5 + 0*r + 0 - 7/4*r**4 - 1/168*r**8 - 16*r**2. Let s(z) = 0. Calculate z.
-1, 3
Let t(u) be the second derivative of -21*u**4/4 - 61*u**3/2 + 9*u**2 - 121*u + 1. Factor t(d).
-3*(d + 3)*(21*d - 2)
Let s be (-5095)/(-15)*(6/3 - -1). Let h = -11201/11 + s. Solve 6/11*p**2 - h + 16/11*p - 18/11*p**3 = 0.
-1, 2/3
Let w(k) be the third derivative of -k**6/480 - k**5/40 - 3*k**4/32 - k**3/6 + 4*k**2 + 11. Factor w(a).
-(a + 1)**2*(a + 4)/4
Suppose 402*i = 48*i. What is c in 0 - 16/3*c**3 - 50/9*c**5 - 8/9*c**2 + i*c - 10*c**4 = 0?
-1, -2/5, 0
Let n(x) = -2*x**2 + x + 2. Let z be n(0). Suppose -4*v + 2 = 2*s, z*v + 2*v = -4*s - 4. Factor -12/7 + 12/7*j - 3/7*j**v.
-3*(j - 2)**2/7
Let w(v) be the third derivative of -1/100*v**6 - 1/420*v**8 + 0 - 5*v**2 - 3/350*v**7 + 0*v**4 - 1/300*v**5 + 0*v**3 + 0*v. Suppose w(i) = 0. What is i?
-1, -1/4, 0
Suppose -151*u - 1950 = -2252. Factor 18/5 - 8/5*y**3 + 2/5*y**4 - 4/5*y**u + 24/5*y.
2*(y - 3)**2*(y + 1)**2/5
Let q = -14 - -16. Let m = -63 + 129/2. Determine l, given that -5/2*l**q + 1 + m*l = 0.
-2/5, 1
Find f such that -115/4*f - 15/2 - 85/4*f**3 - 15/4*f**4 - 155/4*f**2 = 0.
-3, -1, -2/3
Let m(g) be the second derivative of g**5/60 + g**4/9 + 2*g**3/9 + 8*g - 7. Factor m(k).
k*(k + 2)**2/3
Let m = -81 - -114. Let 15 - m + u**3 - 5*u**4 + 16 + 5*u**2 - u + 2*u**4 = 0. What is u?
-1, -2/3, 1
Factor 10/7*k**2 - 26/21*k + 8/21 - 2/3*k**3 + 2/21*k**4.
2*(k - 4)*(k - 1)**3/21
Let v be ((-50)/(-25))/(21 - 1). Factor 0 + 6/5*w**2 - 18/5*w - v*w**3.
-w*(w - 6)**2/10
Let v(f) be the second derivative of 7/36*f**4 - 1/3*f**2 + 0 - 5/18*f**3 - 14*f. Factor v(h).
(h - 1)*(7*h + 2)/3
Let r(p) be the first derivative of -5/24*p**4 + 0*p + 0*p**3 + 5/3*p**2 + 23. Suppose r(c) = 0. Calculate c.
-2, 0, 2
Let r be 16/44*(395/(-150) - -3). Factor 0 + 4/15*h - r*h**2.
-2*h*(h - 2)/15
Let a(o) be the second derivative of -6*o - o**2 - 1/4*o**3 + 1/120*o**5 + 0 + 1/24*o**4. Let c(l) be the first derivative of a(l). Factor c(u).
(u - 1)*(u + 3)/2
Let a(b) = -b**3 - b**2 - 2*b - 3. Let d(x) = -3*x**3 + 10*x**2 - 40*x - 6. Let g(i) = -4*a(i) + 2*d(i). Factor g(y).
-2*y*(y - 6)**2
Let f = -18 + 18. Suppose f = -3*s + 3 + 3. Factor -6*n - 7*n**3 + 2 - n**3 + 6*n**3 + 6*n**s.
-2*(n - 1)**3
Let t = 12366 - 37094/3. Determine x so that 4/9*x**2 - t*x + 8/9 = 0.
1, 2
Let d(l) be the third derivative of l**9/4032 + l**8/1120 + l**7/1120 - l**3 - 3*l**2. Let b(n) be the first derivative of d(n). Find q such that b(q) = 0.
-1, 0
Let a(v) be the third derivative of v**5/15 + v**4/6 + 3*v**2 + 5*v. Factor a(k).
4*k*(k + 1)
Let j(s) = 8*s**2 + 20*s + 15. Let x(b) = 18*b**2 + 40*b + 29. Let z(w) = 7*j(w) - 3*x(w). Let z(n) = 0. What is n?
-9, -1
Let t(k) be the first derivative of 3*k**3 - 30*k**2 - 3*k - 37. Let h(s) = s**2 - s - 1. Let a(n) = -18*h(n) + t(n). Factor a(o).
-3*(o + 5)*(3*o - 1)
Let a be (370/(-60))/37*-1. Factor -1/6 - a*m + 1/3*m**2.
(m - 1)*(2*m + 1)/6
Let s = -58241 - -754548/13. Let r = 199 + s. Factor 4/13*g**3 - 4/13*g - r*g**2 + 2/13.
2*(g - 1)*(g + 1)*(2*g - 1)/13
Suppose -5*c + 3*b + 30 = 0, -12*b + 17*b + 13 = -4*c. Let s(p) be the first derivative of 4*p**c + 1/2*p**4 - 5 + 12*p**2 + 16*p. Factor s(k).
2*(k + 2)**3
Find s, given that 1/3*s**3 - 8/3*s**2 + 400 - 140/3*s = 0.
-12, 10
Let u(n) be the second derivative of n**8/480 - n**7/105 + n**6/120 + n**5/30 + 13*n**4/12 + 4*n. Let m(x) be the third derivative of u(x). Factor m(g).
2*(g - 1)**2*(7*g + 2)
Let p(u) be the first derivative of 3*u**4/4 + 13*u**3 - 3*u**2/2 - 39*u + 150. Factor p(v).
3*(v - 1)*(v + 1)*(v + 13)
What is f in -1156/3 - 1/3*f**2 - 68/3*f = 0?
-34
Factor 0*o**5 - 18*o**4 + 27*o + 1615*o**2 - 24*o**3 - 3*o**5 - 1609*o**2 + 12.
-3*(o - 1)*(o + 1)**3*(o + 4)
Factor 1413*s**2 - 3*s**3 - 66795*s - 178376*s + 11609679 + 23330*s.
-3*(s - 157)**3
Solve 832/7*l + 36/7*l**3 - 300/7*l**2 - 768/7 = 0 for l.
8/3, 3
Let w = -12333 - -12338. Factor 4/7*k**2 - 2/7*k**w + 0 + 0*k - 10/7*k**3 + 8/7*k**4.
-2*k**2*(k - 2)*(k - 1)**2/7
Let u(s) be the first derivative of -4 - 2/3*s**6 - 27*s**4 - 36/5*s**5 + 0*s + 0*s**2 - 36*s**3. Let u(b) = 0. What is b?
-3, 0
Let k(a) be the second derivative of -a**8/10080 - a**7/5040 + 7*a**3/6 - 11*a. Let g(b) be the second derivative of k(b). Determine v, given that g(v) = 0.
-1, 0
Let p(y) be the first derivative of 1/3*y**4 - 4*y**2 - 2/3*y**3 - y + 10. Let v(w) be the first derivative of p(w). Factor v(t).
4*(t - 2)*(t + 1)
Let n(y) be the first derivative of 4*y**3 - 1 + 4/5*y**2 - 49/30*y**6 + 61/10*y**4 + 21/25*y**5 + 0*y. What is b in n(b) = 0?
-1, -2/7, 0, 2
Let x(d) = d**3 - 2*d**2 - 3*d + 4. Let k be x(3). Suppose 3*p - k = 8. Factor 0*u**4 + 2*u**3 - u**4 - p*u**3 - u**2.
-u**2*(u + 1)**2
Let j(r) = -r**5 - r**4 + r**2 - r + 1. Let n(d) = 33*d**4 - 48*d**3 + 11*d**2 + 21*d - 5. Let z = 21 + -22. Let y(s) = z*n(s) - 5*j(s). Factor y(v).
v*(v - 2)**3*(5*v + 2)
Let l = -1986 - -297901/150. Let d(k) be the second derivative of 0*k**3 + 1/30*k**4 + 6*k + 0 + 3/100*k**5 + l*k**6 + 0*k**2. Find y, given that d(y) = 0.
-2, -1, 0
Let k = 1 + -1. Let l(m) be the second derivative of 1/165*m**6 + 1/110*m**5 + 0*m**3 + k - 1/231*m**7 - 2*m - 1/66*m**4 + 0*m**2. Factor l(p).
-2*p**2*(p - 1)**2*(p + 1)/11
Let d(g) be the first derivative of -g**3/9 - 2*g**2 + 124. Factor d(q).
-q*(q + 12)/3
Let l be (-2)/(-6) - (-2820)/18. Suppose -2*u - 30 = -y, 2*y = 7*y - 3*u - l. Solve -1 + 8*w**3 + 9 + y*w**2 - 8*w**4 + 12*w + 16*w - 4*w**5 = 0 for w.
-1, 2
Suppose -346/3*p + 140/3 - 10/3*p**2 = 0. What is p?
-35, 2/5
Let b be 11/2541*-18 + 12/33. Factor 0*p**3 - b*p + 1/7*p**4 + 0 - 3/7*p**2.
p*(p - 2)*(p + 1)**2/7
Let o(a) be the third derivative of 5/6*a**3 + 0*a + 1/12*a**5 - 5*a**2 - 5/12*a**4 + 0. Let o(v) = 0. What is v?
1
Let z(m) = 3*m - 19. Let t be z(8). Find r such that -111*r - 5*r**4 + 111*r - t*r**2 + 10*r**3 = 0.
0, 1
Let l(g) = -8*g**5 - 4*g**4 + 6*g**3 + 3*g**2 + 11*g - 8. Let a(d) = -d**5 + d**3 - d**2 + d. Let n(r) = 28*a(r) - 4*l(r). Factor n(y).
4*(y - 1)**2*(y + 2)**3
Factor 2/3*m**2 + 0*m + 4/3*m**4 - 2*m**3 + 0.
2*m**2*(m - 1)*(2*m - 1)/3
Let b(k) be the second derivative of k**6/40 - 207*k**5/40 + 4897*k**4/16 - 1173*k**3 + 1734*k**2 + k - 45. Find h, given that b(h) = 0.
1, 68
Factor 1095120*j + 1636/3*j**3 + 7/3*j**4 + 42432*j**2 - 316368.
(j + 78)**3*(7*j - 2)/3
Let f = 46623/5 - 9259. Let h = -64 + f. Determine m, given that -h*m**2 - 2*m - 4/5 - 2/5*m**3 = 0.
-2, -1
Factor 0*z - 1/4*z**2 - 3/2*z**3 + 0 - 9/4*z**4 - z**5.
-z**2*(z + 1)**2*(4*z + 1)/4
What is h in 13/4*h**2 + 20 - 1/4*h**3 - 14*h = 0?
4, 5
Suppose 12/7 - 1/7*k**2 + 1/7*k**3 - 8/7*k = 0. Calculate k.
-3, 2
Let h(k) = -6*k - 30. Let l be h(-6). Suppose -6 = -3*m + 3*a, -3*m - a = -0*m - l. Factor -6/5*q**3 - 4/5*q + m*q**2 + 0.
-2*q*(q - 1)*(3*q - 2)/5
Factor -2/3*z**3 + 4/3*z**2 + 0 + 16/3*z.
-2*z*(z - 4)*(z + 2)/3
Solve -369 + 57453*m**2 - 114977*m**2 - 255*m + 57477*m**2 - m**3 = 0 for m.
-41, -3
Let k(i) be the first derivative of i**6/6 + 16*i**5/5 + 81*i**4/4 + 182*i**3/3 + 94*i**2 + 72*i + 475. What is d in k(d) = 0?
-9, -2, -1
Factor -1/6*k**4 - 968/3 + 8*k**3 + 352*k - 332/3*k**2.
-(k - 22)**2*(k - 2)**2/6
Factor 34 + 840*u**2 - 200*u + 5*u**3 - 166 - 513*u**2.
(u - 1)*(u + 66)*(5*u + 2)
Let n(i) = -i**2 + 7*i. Let a be n(7). Suppose a = -4*z - 2*z + 24. Factor 4*j**2 - 3*j**2 + 5*j**4 - z*j**4 - 2*j**3.
j**2*(j - 1)**2
Let c(p) = 2*p**2 + 11*p + 7. Let h be c(-5). Let f(o) = -o**2 - 1. Let u(z) = 30*z**2 - 52*z - 6. Let k(s) = h*f(s) + u(s). Let k(j) = 0. Calculate j.
-1/7, 2
Let v(a) = 10*a**2 + 64*a - 66. Let w(k) = -8*k**2 - 64*k + 66. Let q(h) = -3*v(h) - 4*w(h). Solve q