of -3/7*k**2 - l*k**3 - 4/7*k + 5. Factor z(a).
-2*(a + 1)*(a + 2)/7
Let i = -34930 + 34935. Let 1/3*v**3 + 0 - 1/3*v**4 - 1/3*v**i + 1/3*v**2 + 0*v = 0. What is v?
-1, 0, 1
Let x(r) = r**3 - r**2 + r + 1. Let q(p) = -6*p**3 + 0*p**2 - 14*p**4 + 6*p**2 + 10*p**4 + 5*p**4 - 8*p - 7. Let d(z) = 2*q(z) + 14*x(z). What is t in d(t) = 0?
-1, 0, 1
Let -36/7 - 10*b + 4/7*b**2 = 0. What is b?
-1/2, 18
Let t(z) be the first derivative of -z**6/6 - 2*z**5/5 + z**4/2 + 8*z**3/3 + 7*z**2/2 + 2*z + 52. Factor t(y).
-(y - 2)*(y + 1)**4
Let w = -58/55 - -171/110. Factor 77/4*d**2 + 7/4*d - w + 17*d**3.
(d + 1)*(4*d + 1)*(17*d - 2)/4
Let n = 1/7012 + 7003/63108. Factor -n*r**4 + 0 + 1/3*r**3 + 0*r + 4/9*r**2.
-r**2*(r - 4)*(r + 1)/9
Factor -m**2 - 13*m + 7*m - 15*m**2 + m**2.
-3*m*(5*m + 2)
Suppose 2*b = 62 + 14. Solve 8*w**2 - 13*w**3 + w**4 - b*w**2 - 6*w**4 + 33*w**3 + 20*w - 5 = 0.
1
Let f(g) be the first derivative of -27/20*g**4 - 7/30*g**6 + 13/15*g**3 - 1/5*g**2 + 0*g + 7 + 23/25*g**5. Factor f(l).
-l*(l - 1)**3*(7*l - 2)/5
Factor -5/4 - h**3 + 3/2*h**2 + h - 1/4*h**4.
-(h - 1)**2*(h + 1)*(h + 5)/4
Let x(a) be the second derivative of -5*a**8/336 - a**7/84 - 17*a**3/6 + 33*a. Let d(t) be the second derivative of x(t). Factor d(f).
-5*f**3*(5*f + 2)
Let y(o) be the first derivative of o**6/720 + o**5/24 + 25*o**4/48 + 8*o**3 + 20. Let m(z) be the third derivative of y(z). Determine q so that m(q) = 0.
-5
Let u(g) be the first derivative of -5*g**6/6 + 87*g**5 - 12615*g**4/4 + 121945*g**3/3 - 79. Factor u(r).
-5*r**2*(r - 29)**3
Let a(d) = 5*d**3 - d. Let x be a(1). Factor 8 + x*o - 7*o**3 - 2*o**2 + 4*o + 4*o**3 + o**3.
-2*(o - 2)*(o + 1)*(o + 2)
Let q(z) = z**2 - 4*z - 42. Let i be q(-5). Let o be (-12)/9 + 70/45. What is b in -o*b**i + 0*b + 0*b**2 + 0 = 0?
0
Let 1/4*n + 1/4*n**5 + 3*n**2 - 3/2*n**4 - 1/2*n**3 - 3/2 = 0. Calculate n.
-1, 1, 6
Let j(h) = 6*h**2 + 12*h - 9. Let t(c) = -5*c**2 - 12*c + 8. Let p(l) = -4*j(l) - 3*t(l). Factor p(w).
-3*(w + 2)*(3*w - 2)
Let -9 + 0*w**3 - 4*w**3 - w**3 + w**3 + 9*w + w**2 + 3*w**3 = 0. Calculate w.
-3, 1, 3
Let x(p) = p**2 + 15*p + 39. Let r be x(-12). Let f be (18/54)/((-1)/(-6)). Factor -f*v**2 - 5/2*v + 3/2*v**r + 1.
(v - 2)*(v + 1)*(3*v - 1)/2
Let z(a) be the first derivative of 3/100*a**5 + 0*a**2 - 2*a + 1/150*a**6 + 1/20*a**4 + 1/30*a**3 + 5. Let x(g) be the first derivative of z(g). Factor x(r).
r*(r + 1)**3/5
Let f(y) = 177*y**3 + 159*y**2 + 48*y. Let s = -6 + 8. Let b(d) = -11*d**3 - 3*d - 7 - 10*d**s + 7. Let j(a) = 33*b(a) + 2*f(a). Let j(x) = 0. What is x?
-1, -1/3, 0
Let b(i) be the first derivative of i**3/3 + 2*i**2 - 3*i - 7. Let q be b(-5). Suppose 4*p - 3*p**2 + p**q + 2 - 10*p - 6 = 0. What is p?
-2, -1
Suppose 1369/3 + 1/3*u**2 - 74/3*u = 0. What is u?
37
Let g(x) be the second derivative of -x**7/4620 + x**5/220 + x**4/66 + 3*x**3 - 18*x. Let q(k) be the second derivative of g(k). Find y, given that q(y) = 0.
-1, 2
Let x(d) be the third derivative of -d**8/6720 - d**7/840 + 9*d**4/8 - 21*d**2. Let t(g) be the second derivative of x(g). Solve t(j) = 0.
-3, 0
Let p(b) = 4*b**3 + 212*b**2 + 2900*b + 2698. Let n(d) = 8*d**3 + 424*d**2 + 5802*d + 5397. Let q(y) = -6*n(y) + 11*p(y). Solve q(s) = 0.
-26, -1
Factor 109/3 - 73/2*p + 1/6*p**2.
(p - 218)*(p - 1)/6
Solve -14*c**2 + 19*c + 5*c + 2*c**3 + 2*c - 10 - 4*c = 0.
1, 5
Let 4/13*j + 2/13*j**2 + 2/13 = 0. Calculate j.
-1
Suppose -70 = -10*h - 50. Let i(b) be the first derivative of -h*b**3 - 7 - 1/8*b**4 - 12*b**2 - 32*b. Solve i(s) = 0.
-4
Let g(v) be the third derivative of -v**8/84 + 2*v**7/35 + 7*v**6/24 + 2*v**5/5 + 5*v**4/24 - 2*v**2 - 41*v. Suppose g(o) = 0. What is o?
-1, -1/2, 0, 5
Factor 79*k - 10*k**4 - 5*k**5 - 280*k**2 + 174*k + 85*k**3 - 70 - 18*k + 45*k**3.
-5*(k - 2)*(k - 1)**3*(k + 7)
Let i(g) = -9*g**3 - 15*g**2 - 31*g - 5. Let x(s) = 5*s**3 + 7*s**2 + 17*s + 3. Let a(m) = 3*i(m) + 5*x(m). Suppose a(p) = 0. Calculate p.
-4, -1, 0
Suppose -8/5 - 1/5*n**4 + 3/5*n**2 + 4/5*n**3 - 2*n = 0. What is n?
-1, 2, 4
Let h(f) be the second derivative of -f**5/220 - 69*f**4/44 - 4761*f**3/22 - 328509*f**2/22 - 6*f - 2. Factor h(v).
-(v + 69)**3/11
Let q(u) be the second derivative of -u**6/75 + u**5/50 + 4*u**4/5 + 12*u**3/5 + 2*u - 20. What is v in q(v) = 0?
-3, -2, 0, 6
Factor -1075 + d**2 - 2*d**2 - 235 - 1190 + 100*d.
-(d - 50)**2
Let y(r) be the second derivative of -r**4/3 - 388*r**3/3 - 18818*r**2 + 65*r. Factor y(z).
-4*(z + 97)**2
Let s(l) = 5*l + 64. Let g be s(-12). Suppose -w = g*t - 4, 2*t = -4*w - w + 2. Let 0*o + w - 3/4*o**2 - 3/4*o**3 = 0. What is o?
-1, 0
Let x(z) be the first derivative of 6/25*z**5 - 33 - 2/3*z**3 - 1/5*z**2 + 1/10*z**4 + 4/5*z. Suppose x(n) = 0. Calculate n.
-1, 2/3, 1
Let f(m) = -m**2 + 2*m + 2. Suppose k + 2 = 3*j, -j - 4*j + 2 = -2*k. Let p(n) = -n**2 + n + 1. Let t(g) = j*f(g) - 4*p(g). Factor t(b).
2*b**2
Let w(r) = -1. Let b(u) = 5*u**2 - 13*u**2 + 4*u**2 - 4 + 48*u. Let d(g) = b(g) - 4*w(g). Factor d(n).
-4*n*(n - 12)
Suppose -195*t = -212*t + 85. Suppose 0 = -3*s - 4*p - 12, 2 = -5*s - p - 1. Factor -1/5*f**t + 0*f**2 + 2/5*f**4 + s*f - 1/5*f**3 + 0.
-f**3*(f - 1)**2/5
Let f = 70 - 43. Let r = f - 23. Factor -1/2*y**5 + 0*y**r + 0*y**2 + 0 + y**3 - 1/2*y.
-y*(y - 1)**2*(y + 1)**2/2
Suppose 5*w + 15 = 4*u - 11, w + 2 = 0. Factor 308*v**4 - 296*v**u - 21*v**3 - v**2 - 5*v**2.
3*v**2*(v - 2)*(4*v + 1)
Let a(h) be the first derivative of 5*h**3/12 + 315*h**2/8 + 89. What is y in a(y) = 0?
-63, 0
Let 2/7*n**3 - 6/7*n**4 - 18/7*n + 18/7*n**2 + 4/7 = 0. Calculate n.
-2, 1/3, 1
Let q(c) = 12*c**2 - 9*c + 21. Let o be (3/(-1))/((-1)/(-7)). Let m(g) = -3*g**2 + 2*g - 5. Let u(s) = o*m(s) - 5*q(s). Solve u(k) = 0 for k.
-1, 0
Find n, given that -284/3*n**3 - 2/3*n**5 + 392/3 + 40/3*n**4 - 994/3*n + 848/3*n**2 = 0.
1, 4, 7
Let y(a) = -a**4 - 11*a**3 + 46*a**2 - 10*a - 74. Let b(v) = 2*v**4 + 10*v**3 - 46*v**2 + 9*v + 75. Let m(q) = -4*b(q) - 6*y(q). Determine i so that m(i) = 0.
-1, 2, 6
Let s(w) = 4*w**2 + 5*w**2 + 6*w**4 - 7 - 16*w**2 + w**2. Let n(o) = -2*o**4 + 2*o**2 + 2. Let z(h) = 14*n(h) + 4*s(h). Solve z(t) = 0.
-1, 0, 1
Let j(h) be the third derivative of 2*h**6/15 + 22*h**5/5 - 141*h**4/8 + 27*h**3 - 27*h**2 + 7. Determine b so that j(b) = 0.
-18, 3/4
Solve 15*d**4 - 10*d**5 + 180*d + 36*d**5 - 132*d - 17*d**5 - 33*d**3 - 27*d**2 - 12 = 0.
-2, 1/3, 1
Let a = 16/3 - 5. Let o(u) be the first derivative of a*u**2 + 1/6*u**3 + 4 + 1/6*u. Factor o(g).
(g + 1)*(3*g + 1)/6
Let v = 137 - 137. Let d(y) be the second derivative of 0 + v*y**2 + 7/54*y**4 - 2/27*y**3 - 4/45*y**5 + 1/45*y**6 - y. Factor d(c).
2*c*(c - 1)**2*(3*c - 2)/9
Let q be (0 + 0)*((-15)/(-5))/3. Suppose 1 - 9*j**3 + 5*j**2 - 2*j**2 - 3*j + 8*j**3 + q*j**2 = 0. Calculate j.
1
Suppose g + 0*g + 5*a = -5, -3*g = -3*a - 21. Suppose 2*c + 2*d = -0*c - 8, -g*c = -2*d - 8. Factor 4/3*t + 5/3*t**3 + 8/3*t**2 + c + 1/3*t**4.
t*(t + 1)*(t + 2)**2/3
Suppose k - 2 - 10 = 0. Suppose k = 4*c + 4. Factor 7 - 3*v**c - 4 - v - 1 + 2*v**2.
-(v - 1)*(v + 2)
Let b = 91 + -89. Let 4134*o - 4*o**3 - 4214*o - 5*o**2 + 64 + 37*o**b = 0. What is o?
2, 4
Suppose 2*q + 17 = 5*v, 5*q = -4*v + 65 - 25. Suppose a = 3*a - h - 1, -6 = -2*h. Factor 2*l**a - 6/5*l**3 - 2/5*l**q - 4/5*l + 0 + 2/5*l**5.
2*l*(l - 1)**3*(l + 2)/5
Let h(k) be the first derivative of 2*k**3/3 - 20*k**2 - 42*k - 20. Factor h(l).
2*(l - 21)*(l + 1)
Let w = -85 - -84. Let f be w*(-2)/11*4. Factor f*a**2 + 2/11*a**5 + 2/11*a + 12/11*a**3 + 0 + 8/11*a**4.
2*a*(a + 1)**4/11
Let m = 20/9 - 14/9. Let a = 334 - 3002/9. Factor -2/3*q**4 + a*q**3 + 2/9*q**5 + 2/9 + 4/9*q**2 - m*q.
2*(q - 1)**4*(q + 1)/9
Let m(k) = 2*k**2 + 2*k - 2*k - 94 + 4*k + 96. Let o be m(-2). Find x, given that 4/7*x + 0*x**3 - 2/7*x**4 + 0 + 6/7*x**o = 0.
-1, 0, 2
Let p(v) be the first derivative of -v**5/20 - 21*v**4/8 - 54*v**3 - 540*v**2 - 2592*v + 305. Factor p(h).
-(h + 6)*(h + 12)**3/4
Let m be 40/(-15)*-8*3. Let a = m - 61. Factor 2/5*c**a - 2/5*c**2 + 0 - 2/5*c**5 + 0*c + 2/5*c**4.
-2*c**2*(c - 1)**2*(c + 1)/5
Let y = -625 - -3761/6. Factor y*k**2 - 2*k - 1/2*k**3 + 2/3.
-(k - 2)*(k - 1)*(3*k - 2)/6
Solve 12321*o + 163306 - 11347 + 3*o**3 - 6*o**2 + 339*o**2 = 0 for o.
-37
Suppose -5*b + 27 = -2*i, -6 = 5*b - 21