*l**3 + 0 + 2/7*l = 0.
0, 1
Let z = -776/7 - -112. Factor z*c + 0 + 2/7*c**3 + 8/7*c**2.
2*c*(c + 2)**2/7
Suppose 4*o + o + 35 = 0. Let l = -3 - o. Solve -5/4*b**4 + 21/4*b**2 - l*b + 1 - 7/4*b**3 + 3/4*b**5 = 0.
-2, 2/3, 1
Let z(h) be the first derivative of -h**3/6 - h**2 - 2*h + 6. Solve z(g) = 0 for g.
-2
Factor -2/11 + 2/11*f**2 + 2/11*f**3 - 2/11*f.
2*(f - 1)*(f + 1)**2/11
Let l(f) be the second derivative of 3*f**5/20 - 5*f**4/12 + f**3/6 + f**2/2 + 8*f. Find d, given that l(d) = 0.
-1/3, 1
Suppose 9*h**3 - 2*h - 9*h**2 + 0 + h**4 + 8 - 11*h**3 + 4*h**3 = 0. Calculate h.
-4, -1, 1, 2
Let m be -7 + 7 + 10/(-2). Let v = -2 - m. What is y in -2*y**4 + 4*y**2 + 0*y**3 + 2*y**3 - 3*y**2 + v*y**4 = 0?
-1, 0
Let j(i) = -4*i**4 - 6*i**3 - 8*i**2 + 6. Let z(g) = -g**3 - 1. Let o(s) = -j(s) - 6*z(s). Find m such that o(m) = 0.
-2, -1, 0
Let w(g) be the first derivative of -2*g**3/15 - 7*g**2/5 - 12*g/5 + 55. Factor w(m).
-2*(m + 1)*(m + 6)/5
Let v(m) be the first derivative of 4/7*m + 2/21*m**3 + 3/7*m**2 + 2. Factor v(d).
2*(d + 1)*(d + 2)/7
Let u(z) be the second derivative of 2*z + 0 + 0*z**3 - 1/84*z**7 - 1/24*z**4 + 1/60*z**6 + 1/40*z**5 + 0*z**2. Determine q so that u(q) = 0.
-1, 0, 1
Let w(p) be the second derivative of -p**4/9 + 32*p**3/9 + 5*p + 1. Factor w(q).
-4*q*(q - 16)/3
Let f(c) = 9 + 11*c + 2*c**4 + 3*c**2 + 0 - 5 - 2*c**3. Let n(i) = -i**4 - i. Let p(o) = f(o) + 3*n(o). Let p(t) = 0. What is t?
-2, -1, 2
Factor 0 + 16/3*u**2 + 4/9*u**5 + 52/9*u**3 + 8/3*u**4 + 16/9*u.
4*u*(u + 1)**2*(u + 2)**2/9
Let d(w) be the third derivative of -1/12*w**4 + 0*w + 3*w**2 + 0 + 1/15*w**5 + 0*w**3 - 1/60*w**6. Factor d(g).
-2*g*(g - 1)**2
Let k(o) be the third derivative of o**8/336 + o**7/42 + 3*o**6/40 + 7*o**5/60 + o**4/12 + 13*o**2. Factor k(x).
x*(x + 1)**3*(x + 2)
Let u = 32 + -21. Let n = -11 + u. Solve n + 0*h - 2/9*h**3 + 2/9*h**2 = 0 for h.
0, 1
Let q(j) be the second derivative of j**5/40 + 5*j**4/24 + j**3/4 - 9*j**2/4 - 7*j. Factor q(o).
(o - 1)*(o + 3)**2/2
Let o be ((-6)/5)/((-12)/30). Let r(q) = q**2 - 5*q. Let t(s) = 15*s - 2*s**2 - 3*s + 2*s. Let x(l) = o*t(l) + 8*r(l). Let x(j) = 0. What is j?
-1, 0
Let h(j) be the first derivative of j**6/20 - 3*j**5/40 + 6*j - 4. Let s(i) be the first derivative of h(i). Suppose s(v) = 0. Calculate v.
0, 1
Let l(b) be the second derivative of -b**6/135 + 2*b**5/9 - 50*b**4/27 + 38*b. Factor l(k).
-2*k**2*(k - 10)**2/9
Let l(h) be the third derivative of h**10/453600 - h**8/20160 - h**7/7560 + h**5/20 - 2*h**2. Let n(t) be the third derivative of l(t). Factor n(c).
c*(c - 2)*(c + 1)**2/3
Let p = 142/203 - 12/29. Suppose -3*t + 31 - 22 = 0. Find a, given that 0 + 0*a - 2/7*a**2 - p*a**t = 0.
-1, 0
Let t(y) = -y. Let a(h) = 14*h**3 + 18*h**2 - 26*h - 8. Suppose 6*c = 2*c + 16. Let s = -6 + c. Let v(x) = s*t(x) + a(x). Factor v(g).
2*(g - 1)*(g + 2)*(7*g + 2)
Let l(v) = 3*v**5 + 2*v**4 + 15*v**3 - 2*v**2 - 11*v - 8. Let z(h) = h**5 + h**4 + 7*h**3 - h**2 - 6*h - 4. Let w(d) = -2*l(d) + 5*z(d). What is a in w(a) = 0?
-1, 2
Let s = -11 + 14. Factor -3*a**5 - 3*a**4 - 3*a**s + 5*a**4 + 4*a**4.
-3*a**3*(a - 1)**2
Suppose 3*s + 6 = 2*f, 5*f + 3*s - 15 = -0*f. Factor 2*z**2 + 18 - 8*z - z - f*z + 0*z**2.
2*(z - 3)**2
Let x(t) be the third derivative of -t**7/180 + t**6/144 + t**5/40 - 5*t**4/144 - t**3/18 - 27*t**2. What is y in x(y) = 0?
-1, -2/7, 1
Let g be -2 + 60/33 + (-46)/(-11). Let j be (-30)/84*4/(-5). Find z such that -2/7*z + 0 + j*z**g - 6/7*z**3 + 6/7*z**2 = 0.
0, 1
Factor 3/2 + 15/4*x**3 + 27/4*x**2 + 21/4*x + 3/4*x**4.
3*(x + 1)**3*(x + 2)/4
Let k(d) be the third derivative of d**5/90 - d**4/54 - 42*d**2. Factor k(v).
2*v*(3*v - 2)/9
Let l be 2/7 - 88/14. Let d = l - -9. Factor 8*f**3 + 0*f**2 + 2*f**2 - 5*f - 2 - d*f.
2*(f - 1)*(f + 1)*(4*f + 1)
Suppose x = -n + 4*n - 6, -5*n = 4*x - 61. Let v = x - 9. Factor v*o**2 + o + 2/3 - 1/3*o**3.
-(o - 2)*(o + 1)**2/3
Let c(h) = -6*h**5 + 2*h**4 + 2*h**3 - h**2 + 5*h. Let u(r) = 5*r**5 - r**4 - r**3 + r**2 - 4*r. Let q(a) = -4*c(a) - 5*u(a). Factor q(j).
-j**2*(j + 1)**3
Let r be 24*(-2)/(-45)*5. Find q such that -r*q**3 + 8/3*q**5 - 4/3*q**2 + 8/3*q + 2/3*q**4 + 2/3 = 0.
-1, -1/4, 1
Let o(c) = -c**2 - 10*c + 12. Let f be ((-44)/(-16))/((-2)/8). Let v be o(f). Factor 9/4*u**3 + 3/4*u**2 - v - 2*u.
(u - 1)*(3*u + 2)**2/4
Suppose -10 = -2*h + 14. Let g = h + -8. Suppose -g - z**2 + 2*z + z + 2 = 0. What is z?
1, 2
Let 16/7*z**2 + 0 - 2/7*z**4 + 24/7*z - 2/7*z**3 = 0. Calculate z.
-2, 0, 3
Let x(l) = -l**3 + 4*l**2 - 5*l. Let u be x(0). Determine o so that u - 1/2*o**3 + 1/4*o**2 + 1/4*o**4 + 0*o = 0.
0, 1
Let k = -71 + 73. Let t(b) be the first derivative of 1/6*b**3 + 1/4*b**k + 0*b + 2. Let t(d) = 0. Calculate d.
-1, 0
Suppose 6*w = 9 + 9. Let u(b) be the third derivative of 0*b - 1/3*b**w + 2*b**2 - 1/120*b**5 - 1/12*b**4 + 0. Factor u(d).
-(d + 2)**2/2
Let h(y) be the third derivative of -y**6/24 + 5*y**4/8 + 5*y**3/3 - 2*y**2. Solve h(w) = 0 for w.
-1, 2
Let z(k) be the third derivative of k**6/180 - k**4/12 + 2*k**3/9 - 2*k**2. Solve z(u) = 0 for u.
-2, 1
Let z(v) be the first derivative of 11*v**3/27 - 4*v**2/3 + 4*v/9 + 19. Factor z(j).
(j - 2)*(11*j - 2)/9
Suppose -71 + 0*u**3 - 21*u + 3*u**3 + 53 = 0. What is u?
-2, -1, 3
Factor 3/4*x + 1/2 + 1/4*x**2.
(x + 1)*(x + 2)/4
Determine r, given that 17*r**5 + 4*r**5 - 75*r**4 - 5*r**2 + 24*r**5 + 35*r**3 = 0.
0, 1/3, 1
Let p(w) be the third derivative of 0*w + 2*w**2 + 1/30*w**5 + 0*w**4 + 1/60*w**6 - 1/105*w**7 + 0*w**3 + 0 - 1/168*w**8. Solve p(m) = 0 for m.
-1, 0, 1
Let a(q) = -2*q**4 + 8*q**3 - 2*q - 2. Let l(b) = 6*b**4 - 24*b**3 + 7*b + 7. Let p(k) = -7*a(k) - 2*l(k). Factor p(v).
2*v**3*(v - 4)
Let t(a) be the first derivative of a**6/2 + 3*a**5/5 - 3*a**4/4 - a**3 + 23. Factor t(h).
3*h**2*(h - 1)*(h + 1)**2
Factor -14/5*q**2 - 18/5*q**3 - 4/5*q - 2*q**4 - 2/5*q**5 + 0.
-2*q*(q + 1)**3*(q + 2)/5
Let x = -53 + 53. Let o(i) be the second derivative of i**2 - 1/20*i**6 + 3/8*i**4 - i - 1/20*i**5 + x + i**3. Let o(s) = 0. What is s?
-1, -2/3, 2
Let r(z) = -z**2 + z + 34. Let c be r(-5). Let 3/8 - 3/2*l + 3/8*l**c + 9/4*l**2 - 3/2*l**3 = 0. What is l?
1
Let x(o) be the third derivative of 0*o**3 + 1/70*o**7 + 4*o**2 + 1/112*o**8 + 0*o**4 - 1/40*o**6 + 0 + 0*o - 1/20*o**5. Factor x(i).
3*i**2*(i - 1)*(i + 1)**2
Suppose 13*x**3 + x**2 - 20*x**3 + 2*x**2 + 3*x**4 + 13*x**3 = 0. Calculate x.
-1, 0
Suppose -3*c - 6 = -3*l, -l + 14 = 2*c + 3*c. Let v(w) be the second derivative of -w + 1/3*w**3 - 1/12*w**4 - 1/2*w**c + 0. Factor v(x).
-(x - 1)**2
Let c be (-2)/(-4) - 385/(-22). Suppose 5*p - 19 + 1 = -q, 3*q = -3*p + c. Suppose -11/4*g - 1/2 - p*g**2 = 0. Calculate g.
-2/3, -1/4
Let j(g) be the first derivative of 6*g**5/55 - g**4/22 - 4*g**3/33 - 13. Factor j(m).
2*m**2*(m - 1)*(3*m + 2)/11
Let g(j) be the second derivative of j**7/56 + j**6/8 + 27*j**5/80 + 7*j**4/16 + j**3/4 - 6*j. Factor g(y).
3*y*(y + 1)**3*(y + 2)/4
Let j be ((-9)/(-75))/((-4)/(-60)). Suppose -2*m - 5*f = -10, 0 = -3*f + 6. Let 12/5*u + m - 33/5*u**3 + j*u**4 + 24/5*u**2 = 0. Calculate u.
-1/3, 0, 2
What is m in 111/2*m**4 - 6*m**5 - 207/2*m**3 + 0 - 255/2*m**2 + 75/2*m = 0?
-1, 0, 1/4, 5
Let -4*p**3 + 4*p**3 + 3*p**4 + 45*p**5 - 4*p**2 - 46*p**5 = 0. Calculate p.
-1, 0, 2
Let j = 95 - 93. Suppose 4/3*o + 2/3*o**3 + j*o**2 + 0 = 0. What is o?
-2, -1, 0
Solve 3*i**2 - i**4 + 4*i**4 - 28*i**3 + 34*i**3 = 0 for i.
-1, 0
Let v = -378 + 18145/48. Let s(r) be the third derivative of 0*r + 1/24*r**3 + v*r**4 + 0 - 2*r**2 - 1/240*r**6 + 0*r**5 - 1/840*r**7. Solve s(m) = 0 for m.
-1, 1
Let a(t) be the first derivative of -t**3/3 + 5*t**2 - 25*t + 9. Factor a(h).
-(h - 5)**2
Suppose 12/13*z + 0 - 2/13*z**2 = 0. What is z?
0, 6
Let v(d) be the third derivative of -1/72*d**6 + 1/9*d**3 + 0*d - 3*d**2 + 5/72*d**4 + 0 - 1/90*d**5. Determine g so that v(g) = 0.
-1, -2/5, 1
Suppose 0*o = -2*o + 6. Factor -i**o - 1/4*i**4 + 1 - 3/4*i**2 + i.
-(i - 1)*(i + 1)*(i + 2)**2/4
Suppose -2 = -b + 1. Let i(u) be the second derivative of 1/42*u**4 - 2/21*u**b + 0 + u + 1/7*u**2. Factor i(j).
2*(j - 1)**2/7
Let y(v) be the first derivative of v**6/60 - v**5/40 + 3*v - 3. Let z(r) be the first derivative of y(r). Suppose z(l) = 0. What is l?
0, 1
