**2 + 0 + 0*f**4 + 1/50*f**6 + 0*f - 2/525*f**7 + 4/75*f**5. Let k(i) = 0. Calculate i.
-1, 0, 4
Let b = -13 - -23. Let h be (-16)/b*(-10)/4. Determine u so that -5*u**2 + 0*u**3 + 3*u**3 - 2*u**3 + h*u**2 = 0.
0, 1
Suppose v - 4*v = -4*g + 17, 0 = 2*g + 2*v + 2. Let a be -2*2/8*-16. Factor -5*j - g + 3*j**3 - 4*j**3 + a*j.
-(j - 1)**2*(j + 2)
Let y(n) be the second derivative of n**5/4 - 5*n**4/4 - 10*n**3/3 + n + 12. Factor y(l).
5*l*(l - 4)*(l + 1)
Let k(d) be the first derivative of 3*d**3 - 1/330*d**5 + 9 + 0*d**4 + 0*d + 1/1980*d**6 + 0*d**2. Let u(l) be the third derivative of k(l). Factor u(p).
2*p*(p - 2)/11
Let -296*t + t**4 - 137*t + 145*t - 156*t**2 + 3*t**4 + 0*t**3 - 8*t**3 = 0. Calculate t.
-3, 0, 8
Suppose -5*g - 2*g + 105 = 0. Let 72 + 5*u**4 - 5*u + 5*u**3 - 139 - g*u**2 + 77 = 0. What is u?
-2, -1, 1
Let z(k) = -k**4 - k**3 + k**2 - 5*k - 6. Let u(m) = 5*m + 5. Suppose -x - 14 = -3*p, -3*p - 3*x + 18 = -2*p. Let b(a) = p*u(a) + 5*z(a). Factor b(c).
-5*c*(c - 1)*(c + 1)**2
Let g(t) = 2*t**3 + t - 1. Let h be g(1). Factor 15*n**2 + 676 + 12*n - 10*n**h + 118*n + 169.
5*(n + 13)**2
Let f(d) be the first derivative of -d**5/40 + 9*d**4/32 + d**3/8 - 29*d**2/16 + 9*d/4 + 103. Suppose f(p) = 0. Calculate p.
-2, 1, 9
Let -1 + 5/3*i + i**3 + 11/3*i**2 = 0. Calculate i.
-3, -1, 1/3
Let y(r) = -2*r - 36. Let z be y(7). Let s be (-19 - -16)/(z/8 - -1). Find k, given that -s*k**5 - 2/7*k - 2/7*k**4 + 2/7*k**2 + 0 + 6/7*k**3 = 0.
-1, 0, 1/2, 1
Factor 48*m - 4*m**2 - 4*m**3 + 72 + 1/2*m**4.
(m - 6)**2*(m + 2)**2/2
Let u = -1440 - -1440. Determine y, given that 4/3*y - 2/3*y**5 + 2*y**3 + u - 2/3*y**4 + 10/3*y**2 = 0.
-1, 0, 2
Suppose 0*i**2 + 2/3*i**3 + 1/2*i**5 + 7/6*i**4 + 0 + 0*i = 0. Calculate i.
-4/3, -1, 0
Let p(u) be the first derivative of 0*u**2 - 10*u**4 + 0*u - 35/6*u**6 + 19*u**5 - 20/3*u**3 - 8. What is k in p(k) = 0?
-2/7, 0, 1, 2
Let g = -5 + 21. Factor -12*n**2 + 4*n**4 + g - 18*n + 8*n**3 + 9*n - 7*n + 0*n**3.
4*(n - 1)**2*(n + 2)**2
Let k(x) be the second derivative of -5*x + 2/3*x**4 + 5/3*x**3 + 1/10*x**5 + 0 + 2*x**2. Find w, given that k(w) = 0.
-2, -1
Let -96 + 660/7*u - 156/7*u**2 - 3/7*u**3 = 0. What is u?
-56, 2
Suppose -3*d = -u + 6, -3*d = 4*u + 19 + 2. Let o be 1 - u - (-3)/(-6). Factor 0 - o*c**3 + c**4 + 7/2*c**2 - c.
c*(c - 2)*(c - 1)*(2*c - 1)/2
Let k(j) be the third derivative of j**8/1512 + 11*j**7/945 + 2*j**6/135 - 2*j**5/27 + 200*j**2. Determine h, given that k(h) = 0.
-10, -2, 0, 1
Let d = 768 + -761. Let m(i) be the third derivative of 0*i**3 + 0*i**4 + 0 - 2/525*i**d + 0*i + 1/120*i**6 - 4*i**2 - 1/150*i**5 + 1/1680*i**8. Factor m(q).
q**2*(q - 2)*(q - 1)**2/5
Let o(n) be the second derivative of -7*n**4/9 - 20*n**3/9 + 16*n**2/3 - 101*n. Factor o(d).
-4*(d + 2)*(7*d - 4)/3
Suppose -2*q + 46 - 24 = 4*x, 5*x = -4*q + 38. Determine w so that -2*w + 4/3 + 2/3*w**x = 0.
1, 2
Let j(t) = -30*t**2 + 120*t - 9. Let r(p) = 7*p**2 - 30*p + 2. Let f(y) = 2*j(y) + 9*r(y). Let f(q) = 0. What is q?
0, 10
Factor -1/8*n**4 + 29/8*n**2 + 0 - 13/8*n**3 - 15/8*n.
-n*(n - 1)**2*(n + 15)/8
Let m be -3*(-16)/12 - 1. Find w, given that 6*w - 4 + 10*w**2 + 4 + m*w**3 - w**2 = 0.
-2, -1, 0
Find x, given that 27 - 16*x**2 - 24*x + 3*x**3 - 10*x**2 + 21*x - x**2 = 0.
-1, 1, 9
Let o be (-1 - -3) + (1 - 3). Let -p**2 - 5 + o - 2*p + 7*p + 1 = 0. Calculate p.
1, 4
Suppose -4582 = 2*v - 4586. Find t such that 1/4*t**v + 0 - 1/4*t = 0.
0, 1
Let f(m) = -5*m + 23. Let r be f(4). Suppose -4*j + 6*y - y + 22 = 0, r*j - 7 = -y. Solve 9/2*i**2 - 3*i**j - 3*i + 3/4 + 3/4*i**4 = 0 for i.
1
Let s(v) be the third derivative of v**6/40 - v**5/15 - 17*v**4/24 + v**3 + 165*v**2. Find b such that s(b) = 0.
-2, 1/3, 3
Let z(y) be the third derivative of -y**8/16800 - y**7/525 - 2*y**6/75 - 16*y**5/75 + y**4/8 - 5*y**2. Let n(s) be the second derivative of z(s). Factor n(t).
-2*(t + 4)**3/5
Let k(j) be the first derivative of j**5/20 + 3*j**4/16 - 5*j**3/12 - 3*j**2/8 + j - 7. Factor k(t).
(t - 1)**2*(t + 1)*(t + 4)/4
Let o(a) = -a - 23. Let l be o(-23). Find v such that -2/7*v**4 + l*v + 0 - 2/7*v**3 - 2/21*v**5 - 2/21*v**2 = 0.
-1, 0
Let p = 30 - 28. Factor -13*v**3 - 22*v**3 + 7*v**2 + 3*v**p + 5*v + 20*v**4.
5*v*(v - 1)**2*(4*v + 1)
Suppose 2/5*m - 2/5*m**3 + 4/5*m**2 - 4/5 = 0. What is m?
-1, 1, 2
Let i(w) be the third derivative of -w**6/40 - 9*w**5/20 - 9*w**4/4 - 22*w**2 - w. Suppose i(q) = 0. What is q?
-6, -3, 0
Let u(b) be the second derivative of b**5/4 + 10*b**4/3 + 95*b**3/6 + 30*b**2 + 165*b. Determine g so that u(g) = 0.
-4, -3, -1
Let z(f) be the second derivative of 5*f**4/42 + 211*f**3/21 + 6*f**2 + 39*f. Factor z(m).
2*(m + 42)*(5*m + 1)/7
Let t = -9374 + 18753/2. Factor t*y**3 + 315/2*y - 75/2*y**2 - 245/2.
5*(y - 7)**2*(y - 1)/2
Let v = 40 - 66. Let t = v - -30. What is c in 2*c + c**2 - c - 2 - t*c + 4*c = 0?
-2, 1
Let g(a) be the second derivative of a**7/7560 - a**6/360 + a**5/40 - 19*a**4/12 - 9*a. Let i(l) be the third derivative of g(l). Factor i(f).
(f - 3)**2/3
Let w(a) be the first derivative of 32/9*a**3 - 26/3*a**2 - 1/3*a**4 + 8*a + 34. Determine h, given that w(h) = 0.
1, 6
Suppose -4*f - 5*l = -35, -2*f + 3*l - 111 + 112 = 0. Factor 4/3*m**3 + 0 + 2/3*m**f + 0*m + 0*m**2 - 2*m**4.
2*m**3*(m - 2)*(m - 1)/3
Suppose 66*p - 32 - 166 = 0. Solve -p + 21/4*j**2 - 9*j = 0 for j.
-2/7, 2
Let l(c) = c**3 + 8*c**2 + 7*c + 67. Let x(v) = v**3 + 6*v**2 + 6*v + 62. Let t(o) = 6*l(o) - 7*x(o). Factor t(z).
-(z - 4)**2*(z + 2)
Suppose 5 = n + 3*y, 4*n + 0*n = 4*y + 4. Suppose 2*w = n*u - 2*w, -5*u + w = -9. Solve 0*c**2 + 2*c**u - 3*c**2 = 0.
0
Let u(n) = n**3 + 12*n**2 - n - 16. Let x be u(-12). Let z(y) = y**2 - y. Let r(t) = t - 1. Let q(o) = x*z(o) + 4*r(o). Suppose q(f) = 0. What is f?
1
Let t(p) be the third derivative of p**6/30 - p**5/12 - 3*p**4/8 + 10*p**2 - 22. Suppose t(m) = 0. Calculate m.
-1, 0, 9/4
Let u be -1 - 84/(588/(-21)). Factor -1/3*s**u - 16/3 - 8/3*s.
-(s + 4)**2/3
Let g be (-7)/(-10) + 4/(-60)*3. Determine q, given that -g*q - 1 + 1/2*q**2 = 0.
-1, 2
Let x = 1695 + -1693. Suppose 3*s - g - 14 = 3, 5*g = 5*s - 35. Determine i so that -14*i**s + 0*i - x*i**2 - 71/2*i**4 + 0 - 16*i**3 = 0.
-2, -2/7, -1/4, 0
Factor 1937*q**2 + q**4 - 3*q**4 + 44*q - 1979*q**2 + 16*q**3 - 16.
-2*(q - 4)*(q - 2)*(q - 1)**2
Suppose -5*v = -5*u - 10, 4*v - 1 = -u + 2*v. Let m be 2*(-3 + (3 - u)). Factor 2*b + 3*b**2 - 2 - 3*b**4 + b**3 + m*b**4 - 3*b.
-(b - 2)*(b - 1)*(b + 1)**2
Suppose 43*d = 39*d. Factor d*n + 0 + 5/2*n**2 + 35/4*n**3.
5*n**2*(7*n + 2)/4
Let s(a) be the third derivative of a**8/2016 - a**7/252 - 7*a**6/720 + a**5/72 + a**4/24 + 2*a**2 + 4*a. Factor s(j).
j*(j - 6)*(j - 1)*(j + 1)**2/6
Suppose 5*r - 6 = -3*v + 20, 3*r - 16 = -2*v. Determine j so that 12/11*j + 0 + 2*j**v + 2/11*j**4 + 12/11*j**3 = 0.
-3, -2, -1, 0
Let r be (12/(-8))/((-462)/8). Let b = r + 71/231. Determine u so that b - u**2 + 4/3*u - 10/3*u**3 + 8/3*u**4 = 0.
-1/2, -1/4, 1
Let q be ((-1 - -1) + 0)/(-98 + 102). Determine j, given that -4/5*j**2 + q + 4*j = 0.
0, 5
Let 171/4 + 3/4*y**2 + 87/2*y = 0. Calculate y.
-57, -1
Let g(m) be the second derivative of 5/3*m**4 - 5/2*m**2 + 0 - 10*m + 5/2*m**3. Solve g(b) = 0 for b.
-1, 1/4
Let s = -275 + 139. Let i = -541/4 - s. What is b in i*b + 0 - 3/4*b**2 = 0?
0, 1
Suppose -5*r - 2*g = g - 10, 3*g = 5*r - 10. Let 10*k**3 + r*k**5 - 3*k**5 - 5*k**3 - 4*k = 0. Calculate k.
-2, -1, 0, 1, 2
Let g = -29 + 36. Suppose -2*y = -g - 1. Factor -12*p**3 - 4*p**2 + 0*p**2 - 4*p**5 + 16*p**4 + y*p**2.
-4*p**3*(p - 3)*(p - 1)
Let f(d) be the third derivative of d**8/10080 + d**7/840 + 13*d**5/20 - 36*d**2. Let m(z) be the third derivative of f(z). Factor m(v).
2*v*(v + 3)
Let k(s) be the first derivative of s**6/39 + 8*s**5/65 - 6*s**4/13 + 24. Determine q, given that k(q) = 0.
-6, 0, 2
Let o(d) be the second derivative of -27*d**7/70 + 63*d**6/25 - 639*d**5/100 + 83*d**4/10 - 6*d**3 + 12*d**2/5 + 7*d + 4. Solve o(s) = 0.
1/3, 2/3, 1, 2
Let x(j) be the second derivative of -3*j**5/5 + 15*j**4/4 + 2*j**3 + j + 11. What is i in x(i) = 0?
-1/4, 0, 4
Let t(n) = -2*n**3 - 10*n**2 + 8*n + 32. Let x(a) = -a**2 + 3*a. Let i(c) = -t(c) - 4*x(c). Determine l, given that i(l) = 0.
-8, -1, 2
Let f(z) be the first deriv