**4 + 10 + 4*l**2 = 0.
-1, 2/7, 1
Let d = 14 - 11. Factor -v + 29*v**d - 1 + 1 - 28*v**3.
v*(v - 1)*(v + 1)
Let z be ((-4)/5)/(-2) - (-6)/10. Let s be (20/(-4) - -5)/z. Factor -2/13*n**4 + 0 + s*n**3 + 0*n + 2/13*n**2.
-2*n**2*(n - 1)*(n + 1)/13
Let j(w) be the third derivative of 0*w**3 + 1/270*w**5 - 1/1512*w**8 + 0 + 1/315*w**7 + 0*w + 0*w**4 + 14*w**2 - 1/180*w**6. Factor j(n).
-2*n**2*(n - 1)**3/9
Let n = 190 - 9499/50. Let p(c) be the second derivative of n*c**5 + 0 - 1/15*c**4 + 3*c - 1/15*c**3 + 2/5*c**2. Factor p(i).
2*(i - 2)*(i - 1)*(i + 1)/5
Let a(j) = 4*j**5 - 2*j**4 - 12*j**3 - 6*j**2 + 52*j + 34. Let f(q) = q**5 - q**4 + 6*q**3 - q**2 - q - 1. Let x(c) = -a(c) + 2*f(c). What is h in x(h) = 0?
-3, -1, 2, 3
Let v = -9680 + 19363/2. Factor 15/2*t**2 + 9/2*t + v*t**3 - 27/2.
3*(t - 1)*(t + 3)**2/2
Suppose 5 + 11 = 4*q. Suppose -7*o + 6 = -q*o. Factor -2*k - 4*k**2 - 7*k**o + 4*k**4 - k**2 - 6*k.
4*k*(k - 2)*(k + 1)**2
Let v(c) be the third derivative of 11*c**6/420 + 3*c**5/70 - 11*c**4/84 - 3*c**3/7 + 12*c**2 - 2. Factor v(j).
2*(j - 1)*(j + 1)*(11*j + 9)/7
Let c = 1622 + -1620. Determine i, given that -20/3*i**2 - c*i + 0 + 20/3*i**4 + 0*i**3 + 2*i**5 = 0.
-3, -1, -1/3, 0, 1
Let d(g) = -g**2 - 2*g - 3. Let p(k) = 3*k**2 + 11*k + 14. Let s(r) = r**2 - r. Let b(z) = -p(z) - s(z). Let u(v) = -3*b(v) + 14*d(v). Solve u(i) = 0 for i.
0, 1
Let d be (5 + (-1792)/350)/((-1)/5). Let a(s) be the first derivative of -2 + 3/5*s**2 - 1/5*s**3 - d*s. Suppose a(g) = 0. Calculate g.
1
Let x = 2/4561 + 13679/9122. Suppose x*n**2 + 3*n - 27/2*n**3 - 39/2*n**4 - 15/2*n**5 + 0 = 0. Calculate n.
-1, 0, 2/5
Let i(w) be the third derivative of 3/55*w**5 + 0*w + 8/33*w**3 + 1/1155*w**7 + 0 - 5/33*w**4 + 10*w**2 - 7/660*w**6. Factor i(v).
2*(v - 2)**3*(v - 1)/11
Suppose 5*u + 5*u = -4*u. Determine x so that -4/5*x**2 + 8/5*x**4 + 0 + u*x + 2/5*x**3 - 6/5*x**5 = 0.
-2/3, 0, 1
Let p be (-30)/(-4)*(13/(-5) - -3). Let n(u) be the second derivative of -2/3*u**p + 3*u + 1/5*u**5 + 0 - 6*u**2 + u**4. Let n(v) = 0. Calculate v.
-3, -1, 1
Let g = -49 - -40. Let h be ((-39)/g)/1 + -1. Determine c, given that 2/3*c**4 + 14/3*c + 6*c**2 + 4/3 + h*c**3 = 0.
-2, -1
Let w be 32/(-2)*(-3)/4. Let h be (36/(-10))/((-7)/35). Solve -h*j**2 + w + 132*j + 1 - 735*j**4 + 10 - 861*j**3 + 1 = 0.
-1, -2/7, 2/5
Let j(u) be the first derivative of 7 + 96*u**2 + 16*u**3 + 5 - u**4 + 4*u**4 - 2*u**4 + 256*u. Factor j(q).
4*(q + 4)**3
Let l(j) be the second derivative of -j**5/120 - j**4/18 + j**3/36 + j**2/3 + 64*j. Find f such that l(f) = 0.
-4, -1, 1
Let d(s) be the second derivative of s**5/4 + 5*s**4 + 30*s**3 + 93*s. Find a, given that d(a) = 0.
-6, 0
Suppose -3*x - 13 = -4. Let c be (0 - x)/((-8)/(48/(-99))). Let 10/11*s**3 + 8/11 - 2/11*s**4 + 2/11*s**2 - c*s**5 - 16/11*s = 0. What is s?
-2, 1
Let s(x) = 1303*x**2. Let v be s(-1). Factor 5*p**2 + 14*p - v - 84*p + 1548.
5*(p - 7)**2
Let j = 131/150 - -2/75. Let z(m) be the second derivative of j*m**2 + 3/100*m**5 + 0 + 1/4*m**4 + 7/10*m**3 + 2*m. Factor z(t).
3*(t + 1)**2*(t + 3)/5
Let j(k) be the first derivative of 0*k - 3/32*k**4 + 3/40*k**5 + 0*k**2 + 0*k**3 - 19. Factor j(f).
3*f**3*(f - 1)/8
Let q(s) be the third derivative of s**6/360 + 47*s**5/180 + 23*s**4/36 + s**2 - 12. Find o such that q(o) = 0.
-46, -1, 0
Let l be ((-26)/(-6) - 4) + 0. Let v = 115 + -113. Factor -1/3*b**3 + 0*b + l*b**5 - 1/3*b**v + 1/3*b**4 + 0.
b**2*(b - 1)*(b + 1)**2/3
Let s(k) be the third derivative of 0*k**3 + 0*k**4 + 8/45*k**5 - 2/15*k**6 - 5/252*k**8 - 2*k**2 - 4/35*k**7 + 0 + 0*k. Determine a so that s(a) = 0.
-2, 0, 2/5
Suppose -3*a - 144 = -i, 245 = 4*i + 4*a - 363. Let j = i - 148. Factor -13/7*m**j + 6/7*m**3 - 4/7 - 1/7*m**4 + 12/7*m.
-(m - 2)**2*(m - 1)**2/7
Let y(w) = 166*w - 6806. Let f be y(41). Solve 2/11*x**3 + 2/11*x**2 + 0 + f*x = 0 for x.
-1, 0
Let x = 30 + -10. Let z be 6/33 + x/11. Factor -2*u + u**z + u**2 - 4*u**2.
-2*u*(u + 1)
Let r be -12*2/3 - -3. Let f = r + 9. Suppose -2*s**4 + 4*s**3 + 6 - f*s - 3 + 0 - 1 = 0. Calculate s.
-1, 1
Let a(j) = -2*j**3 - 2*j**2 + 8*j - 6. Let s(u) = -u. Let o(z) = -z**2 - 10*z + 22. Let l be o(-12). Let x(i) = l*a(i) + 4*s(i). Solve x(c) = 0 for c.
-3, 1
Let t(b) = 17*b**3 + 51*b**2 - 25*b - 59. Let x(l) = -3*l**3 - 10*l**2 + 5*l + 12. Let d(f) = 4*t(f) + 22*x(f). What is i in d(i) = 0?
-1, 2, 7
Let m = 340 - 340. Let w(i) be the second derivative of -5/36*i**4 + 2*i + 7/60*i**5 + m + 0*i**2 - 1/9*i**3. Suppose w(x) = 0. What is x?
-2/7, 0, 1
Let s = 1 - -4. Let -2 - 10*p - 11 - s*p**2 + 8 = 0. What is p?
-1
Factor 0 + 4/9*b**2 - 10/9*b**3 - 2/9*b**5 + 8/9*b**4 + 0*b.
-2*b**2*(b - 2)*(b - 1)**2/9
Let o(n) be the second derivative of 3/4*n**2 + n - 1/8*n**3 - 1/16*n**4 + 0. Factor o(v).
-3*(v - 1)*(v + 2)/4
Suppose 3 + 3 = 3*i. Let s = -10 + 13. Solve i*t**4 + 9*t**2 + t**s - 5*t**2 - 5*t**3 - t**4 = 0 for t.
0, 2
Factor -8 + 4/3*g**2 + 4/3*g.
4*(g - 2)*(g + 3)/3
Let f(g) = -6*g**4 + 192*g**3 - 181*g**2 - 20. Let h(m) = 15*m**4 - 480*m**3 + 453*m**2 + 48. Let l(x) = -12*f(x) - 5*h(x). Solve l(t) = 0.
0, 1, 31
Suppose -15*m**2 - 22*m**2 - 23*m**2 + 5*m**5 + 20*m**3 + 35*m**4 = 0. Calculate m.
-6, -2, 0, 1
Let i = 1418 - 1415. Factor -4/7*f**2 - 2/7*f + 0 - 2/7*f**i.
-2*f*(f + 1)**2/7
Let l = 20451 - 102254/5. Factor 0 - 1/5*k - l*k**2 + 1/5*k**4 + 1/5*k**3.
k*(k - 1)*(k + 1)**2/5
Let c(m) be the second derivative of -m + 1/20*m**4 - 1/10*m**3 - 3/5*m**2 - 5. Determine l, given that c(l) = 0.
-1, 2
Factor -60*m**2 - 64*m**2 - 2*m - 2*m**3 + 120*m**2.
-2*m*(m + 1)**2
Suppose -11*p + 46 = 13. Let t(d) be the first derivative of 1/20*d**5 + 0*d**2 + 0*d**3 + 0*d + 1/16*d**4 - p. Factor t(k).
k**3*(k + 1)/4
Determine g, given that 6*g**4 - 3/2*g**5 + 6*g - 3/2*g**3 + 12 - 15*g**2 = 0.
-1, 2
Let g(z) = 3*z**3 + 13*z**2 - 82*z + 8. Let i(v) = -3*v**3 - 8*v**2 + 83*v - 10. Let c(p) = -5*g(p) - 4*i(p). Factor c(l).
-3*l*(l - 2)*(l + 13)
Let l be 45/12 + 0 - 4/2. Let y = l + -1/4. Factor 0 - 3/2*c + 3*c**2 - y*c**3.
-3*c*(c - 1)**2/2
Let o(p) = 55*p**3 + 4 - 3 - p**5 - p**2 - 56*p**3. Let q(m) = 7*m**5 + 5*m**4 + 2*m**3 + 2*m**2 - 2. Let t(r) = 2*o(r) + q(r). Let t(d) = 0. Calculate d.
-1, 0
Let q = 149 + -148. Suppose -h - q = 0, 0 = -3*t - 4*h + 3 - 7. Find b, given that 2/9*b**4 + t - 2/9*b**5 - 4/9*b - 2/9*b**2 + 2/3*b**3 = 0.
-1, 0, 1, 2
Let m(s) be the first derivative of -s**5/20 - s**4/18 + s**3/6 + s**2/3 - 9*s + 21. Let p(f) be the first derivative of m(f). Factor p(b).
-(b - 1)*(b + 1)*(3*b + 2)/3
Let x(l) = -37*l**2 + 1. Let d be x(-1). Let y be 4/18 + (-64)/d. Determine q so that 2 + 6*q**2 + q**3 - q**3 - 6*q - y*q**3 = 0.
1
Let k(t) be the second derivative of -t**4/3 + 112*t**3/3 - 7*t. Factor k(a).
-4*a*(a - 56)
Let z = -200 - -113. Let h = -85 - z. Let -10/7*b + 10/7*b**3 - 4/7 + 6/7*b**4 - 2/7*b**h = 0. Calculate b.
-1, -2/3, 1
Let i(y) be the first derivative of 1/3*y**3 - 1/2*y**2 + 0*y + 5. Factor i(j).
j*(j - 1)
Suppose 4*s + 223 = 2*s - 5*z, -z = -s - 101. Let a = 107 + s. Let -1/4*h**5 + 0 + 0*h**a - 1/2*h**2 + 1/2*h**4 + 1/4*h = 0. What is h?
-1, 0, 1
Let y(q) = 53*q - 3496. Let m be y(66). Suppose 8/5*k**3 + 2/5*k**4 + 8*k - 14/5 - 36/5*k**m = 0. Calculate k.
-7, 1
Let u(j) be the third derivative of j**7/70 - 17*j**6/10 + 611*j**5/10 - 561*j**4/2 + 1089*j**3/2 + 586*j**2. Factor u(l).
3*(l - 33)**2*(l - 1)**2
Determine u so that -5/2*u**3 + 5/6*u**4 - 20/3*u**2 + 10*u + 40/3 = 0.
-2, -1, 2, 4
Let b(z) be the second derivative of -4/21*z**3 + 2/105*z**6 + 1/147*z**7 - 3/70*z**5 + 0 - 4/21*z**4 + 0*z**2 + 25*z. Determine q so that b(q) = 0.
-2, -1, 0, 2
Suppose 15*p - 10*p - 15 = 0. Let b = 4 - p. Suppose c**3 - 2*c**4 + 1 - b + 0*c**5 + c**5 = 0. What is c?
0, 1
Let k = 83836 - 756187/9. Let u = k - -185. Determine a, given that 8/9*a + 0 + u*a**3 + 8/9*a**2 = 0.
-2, 0
Let j = 166 - 16. Factor 15*y - j + 3*y**2 + 150.
3*y*(y + 5)
Let y(b) = -2*b**2 - 10*b - 18. Let n(t) = 6*t**2 + 28*t + 54. Let o(v) = -5*n(v) - 16*y(v). Determine j, given that o(j) = 0.
-9, -1
Let t(l) = l**2 - 7*l - 16. Let o be t(-2). Let i(w) be the first derivative of -2*w**o + 1/6*w**3 - 7 + 8*w. Factor i(g).
(g - 4)**2/2
Suppose -12*r - 16 = -16*r. Factor -32*o**2 - 71*o**3 - 37*o**2 - 14*o**3