derivative of x**6/12 - 7*x**5/10 + 15*x**4/8 - 13*x**3/6 + x**2 - 41. Factor i(b).
b*(b - 4)*(b - 1)**3/2
Let l = -34/77 + 8/11. Suppose -1/7*h**5 + 0*h**2 + l*h**3 + 0 + 0*h**4 - 1/7*h = 0. Calculate h.
-1, 0, 1
Suppose 5 = q - 0. Suppose v + 20 = q*v. Find r, given that -152/3*r**4 - 14*r**v - 38/3*r - 4/3 - 44*r**2 - 208/3*r**3 = 0.
-1, -1/3, -2/7
Suppose 0 = -2*n + 6. Suppose 0 = -3*d + 12, 3*m - d - n = -1. Factor -3*b + 1 - 4*b + b**m + 5*b.
(b - 1)**2
Suppose -5*n + 10 = -0. Suppose -4*t = -3*t - n. Let -2*a**4 - 2*a**3 + 0*a**3 + 2*a**5 + 0*a**5 + t*a**2 = 0. What is a?
-1, 0, 1
Let o(n) be the second derivative of -7*n**5/90 - 19*n**4/54 - 8*n**3/27 + 4*n**2/9 + 11*n. Factor o(i).
-2*(i + 1)*(i + 2)*(7*i - 2)/9
Let s(p) be the first derivative of 8*p**6/3 + 44*p**5/5 + 5*p**4 - 8*p**3/3 - 5. What is k in s(k) = 0?
-2, -1, 0, 1/4
Let c(t) be the first derivative of t**6/12 + t**5/5 - t**3/3 - t**2/4 - 6. Factor c(d).
d*(d - 1)*(d + 1)**3/2
Determine m so that 2*m - 2*m**2 + 2*m - 2*m**2 = 0.
0, 1
Let h(v) = -v**3 + v**2 - v. Let i(j) = 8*j**3 - 14*j**2 + 22*j - 9. Let p(c) = 14*h(c) + 2*i(c). Factor p(a).
2*(a - 3)**2*(a - 1)
Let b(s) be the first derivative of s**8/5040 + s**7/840 + s**6/1080 - s**5/120 - s**4/36 - 5*s**3/3 + 7. Let p(r) be the third derivative of b(r). Factor p(x).
(x - 1)*(x + 1)**2*(x + 2)/3
Let z(p) be the second derivative of 1/120*p**6 + 0*p**2 - 1/48*p**4 - p - 1/24*p**3 + 0 + 1/80*p**5. Factor z(b).
b*(b - 1)*(b + 1)**2/4
Let v(l) = 11*l**4 - 2*l**3 - 9*l**2 + 2*l - 2. Let c(n) = 45*n**4 - 8*n**3 - 36*n**2 + 8*n - 9. Let b(d) = -2*c(d) + 9*v(d). Solve b(g) = 0.
-1, 0, 2/9, 1
Let i(x) be the second derivative of 1/2*x**2 + 0*x**4 + 1/240*x**5 + 0 + 0*x**3 - x. Let f(v) be the first derivative of i(v). What is k in f(k) = 0?
0
Let o(q) = 4*q**2 - 8*q + 7. Let k(s) = -4*s**2 - 10*s + 3. Let w(d) = -d**2 - d. Let y(c) = -k(c) + 6*w(c). Let u(f) = 3*o(f) + 7*y(f). Factor u(g).
-2*g*(g - 2)
Let 0*d + 0*d**3 - 2 + 5/2*d**2 - 1/2*d**4 = 0. Calculate d.
-2, -1, 1, 2
Let y be 87/12 + (-9)/(-12). Let l be (-4*1)/(y + -9). Factor 4/7*t**2 + 4/7*t**3 - 2/7*t**5 - 2/7 - 2/7*t - 2/7*t**l.
-2*(t - 1)**2*(t + 1)**3/7
Suppose 5*n - 5*s = 0, 2*n - 5*s = -0*n - 6. Let l(c) be the second derivative of -5/18*c**3 + 0 + 1/3*c**2 + n*c + 1/12*c**4. Factor l(y).
(y - 1)*(3*y - 2)/3
Suppose 6*i - 8*i = 11*i. Factor i - 2/3*v**2 + 0*v.
-2*v**2/3
Let r(t) = t**3 - 8*t**2 + 9*t - 10. Let x be r(7). Let o = x + -2. Factor -8*i + 4 + 4*i + 0*i**o + i**2.
(i - 2)**2
Let u(s) be the first derivative of 1/10*s**5 + 0*s + 1/8*s**2 - 1/24*s**6 + 0*s**4 + 2 - 1/6*s**3. Suppose u(m) = 0. Calculate m.
-1, 0, 1
Let t(y) be the third derivative of y**8/840 - 4*y**7/525 - 7*y**6/300 + y**5/15 - 23*y**2. Solve t(b) = 0 for b.
-2, 0, 1, 5
Let p(u) be the second derivative of -u**5/60 + u**4/18 - u**3/18 - 12*u. Determine h, given that p(h) = 0.
0, 1
Let k(s) be the second derivative of -4/21*s**3 + 1/42*s**4 + 4/7*s**2 - s + 0. Determine a, given that k(a) = 0.
2
Let p(v) = v**4 + v**2 + 2*v - 2. Let o(b) = -3*b - 5 + 2*b + 6*b + 3*b**2 + 2*b**4. Let x(i) = 2*o(i) - 5*p(i). What is m in x(m) = 0?
-1, 0, 1
Suppose 5*i + 9 = -16. Let z = -2 - i. Let 8*f**3 - 9*f**4 - 10*f**z + 2*f - 2*f = 0. Calculate f.
-2/9, 0
Suppose 0 = k - 5 - 0. Determine r, given that 1/5*r**3 + 24/5*r - 5*r**k + 9*r**4 - 41/5*r**2 - 4/5 = 0.
-1, 2/5, 1
Let y(b) be the second derivative of 18/5*b**5 + 20/3*b**4 + 14/15*b**6 + 2/21*b**7 + 0 - b + 0*b**2 + 16/3*b**3. Solve y(j) = 0 for j.
-2, -1, 0
Let b(s) = -9*s**3 + 13*s**2 + 2*s - 4. Let x(n) = -n + 7. Let v be x(8). Let o(l) = -l**2 - l + 1. Let y(j) = v*b(j) - 4*o(j). Factor y(z).
z*(3*z - 2)*(3*z - 1)
Let r(g) be the second derivative of g**8/168 - g**6/30 + g**4/12 - 2*g**2 - 6*g. Let w(l) be the first derivative of r(l). Factor w(n).
2*n*(n - 1)**2*(n + 1)**2
Let y(g) = g - 3. Let k be y(7). Suppose 0 = -q + 4*s, 0 = -5*q + 5*s - k*s. Determine x, given that 2/3*x**3 + 0*x + q - 2/3*x**2 = 0.
0, 1
Let z = 6 - 4. Suppose -2 = z*k, x + 4*k = -2*x + 2. Factor 3 + 2*s**x - s**2 - 4*s**2 + 3*s**3 - 3*s.
3*(s - 1)**2*(s + 1)
Let n(t) be the first derivative of t**4/4 - t**3/12 - t**2/2 + t/4 - 9. Factor n(d).
(d - 1)*(d + 1)*(4*d - 1)/4
Let f(p) be the first derivative of -3*p**4/4 + 14*p**3/3 - 7*p**2/2 - 4*p - 27. Factor f(d).
-(d - 4)*(d - 1)*(3*d + 1)
Suppose -s = 2*u + 9, 2*s = -u + 2*u - 3. Let n(k) = 7*k**4 - 4*k**3 - 3*k**2. Let g(x) = 4*x**4 - 2*x**3 - 2*x**2. Let r(q) = u*n(q) + 5*g(q). Factor r(h).
-h**2*(h - 1)**2
Solve 8/11*w + 0 + 294/11*w**4 - 32/11*w**2 - 70/11*w**3 = 0.
-1/3, 0, 2/7
Let s(j) = j**3 + 12*j**2 + 9*j - 12. Let u be s(-11). Let n = -10 + u. Factor n + 2/11*o + 2/11*o**2.
2*o*(o + 1)/11
Let b(l) be the first derivative of -5*l**6/6 + l**5 + 5*l**4/4 - 5*l**3/3 - 7. Suppose b(c) = 0. Calculate c.
-1, 0, 1
Let w(v) be the second derivative of -v**7/112 + v**6/40 + 3*v**5/80 - v**4/4 + 7*v**3/16 - 3*v**2/8 - 9*v. Determine m so that w(m) = 0.
-2, 1
Let o(r) be the third derivative of r**5/120 + r**4/48 - r**2. Factor o(j).
j*(j + 1)/2
Let l(x) be the first derivative of 85*x**4/4 - 160*x**3/3 + 65*x**2/2 + 10*x - 2. Suppose l(n) = 0. Calculate n.
-2/17, 1
Let c be -12*(-2 - 10/(-6)). Factor -16*f + 10*f**2 + c*f**4 - 12*f**3 + 11*f**2 + 3*f**2 - 2*f**4.
2*f*(f - 2)**3
Let p(a) = -16*a**2 - 14*a + 8. Let r(w) = 47*w**2 + 41*w - 23. Let i(z) = 17*p(z) + 6*r(z). Let i(h) = 0. What is h?
-1, 1/5
Let p be (-9)/(-4) - 30/120. Factor 1/4*c**4 - c**3 + 3/2*c**p + 1/4 - c.
(c - 1)**4/4
Suppose -5*t = -2*d + 10, -3*d = -4*t - 0*d - 15. What is o in -1/5*o - 2/5*o**4 - o**3 - 4/5*o**2 + t = 0?
-1, -1/2, 0
Let w(h) be the first derivative of h**4/2 + 4*h**3 - 5*h**2 - 4*h + 3. Let a(y) = -3*y**3 - 13*y**2 + 11*y + 5. Let g(f) = -5*a(f) - 6*w(f). Solve g(c) = 0.
1/3, 1
Let o be (-10)/28*(147/(-15) - -9). What is k in -2/7*k + 4/7 - o*k**2 = 0?
-2, 1
Suppose 3 = -3*w + 15. Let i(o) be the first derivative of 1/24*o**6 - 1 - 1/20*o**5 + 0*o + 0*o**w + 0*o**2 + 0*o**3. Let i(m) = 0. Calculate m.
0, 1
Let m(j) be the second derivative of -j**4/12 - j**3/15 - 8*j. Solve m(x) = 0 for x.
-2/5, 0
Factor 3/2*o**4 + 3/4*o**5 - 3 - 6*o**3 + 3/2*o**2 + 21/4*o.
3*(o - 1)**3*(o + 1)*(o + 4)/4
Let h(i) = -57*i**3 + 176*i**2 - 241*i + 47. Let s(y) = -7*y**3 + 22*y**2 - 30*y + 6. Let m(o) = 6*h(o) - 51*s(o). Factor m(c).
3*(c - 2)**2*(5*c - 2)
Let l(q) be the first derivative of q**8/7560 + q**7/945 + q**6/405 + q**3/3 + 2. Let x(p) be the third derivative of l(p). Solve x(f) = 0.
-2, 0
Let t(n) be the first derivative of -4*n**5/35 - n**4 - 20*n**3/7 - 18*n**2/7 + 31. Suppose t(g) = 0. What is g?
-3, -1, 0
Let g(u) be the second derivative of -u**4/12 - 7*u**3/24 + u**2/4 + 4*u. What is r in g(r) = 0?
-2, 1/4
Solve -2*b**3 + 0*b**2 - 8 - 4*b**5 + 10*b**3 - 8*b**4 + b**2 - 4*b + 15*b**2 = 0 for b.
-2, -1, 1
Let z(u) be the second derivative of -u**6/75 + u**4/30 + u. Factor z(a).
-2*a**2*(a - 1)*(a + 1)/5
Let k = 127/185 - 18/37. Determine q so that 0 - 3/5*q**4 + k*q + 3/5*q**2 + 4/5*q**5 - q**3 = 0.
-1, -1/4, 0, 1
Let l(s) be the first derivative of -s**4 - 8*s**3/3 - 2*s**2 + 46. Find c such that l(c) = 0.
-1, 0
Let -3/2*x**3 - 13/2*x + 9/4 - 1/4*x**4 + 6*x**2 = 0. Calculate x.
-9, 1
Suppose 7 + 0*v**3 - 3*v**3 - 7 = 0. Calculate v.
0
Let i(z) be the third derivative of -z**9/3024 + z**8/840 - z**6/180 + z**5/120 - 2*z**3/3 + 4*z**2. Let o(r) be the first derivative of i(r). Factor o(y).
-y*(y - 1)**3*(y + 1)
Let y be 0/2*4/8. Let v be (-260)/(-273) + 2/(-3). Solve -4/7*d**3 + y + 0*d - v*d**2 = 0.
-1/2, 0
Suppose -o - 8 = -y - 0*o, -4*y + o + 17 = 0. Suppose k = -4*c + 2, -4*k + 0*c = y*c - 8. Find h, given that 1/5*h + 1/5*h**k + 0 = 0.
-1, 0
Let a(o) be the second derivative of o**5/25 + o**4/6 + 4*o**3/15 + o**2/5 - 9*o. Suppose a(b) = 0. Calculate b.
-1, -1/2
Suppose -225 = -6*u + u. What is m in 37*m - 6 - u*m + m**2 + 22 = 0?
4
Let t(g) be the third derivative of g**5/180 + 5*g**4/36 + 25*g**3/18 + 21*g**2. Solve t(b) = 0 for b.
-5
Let y be 12/(-10)*(-35)/28. Factor 9/2*p + y*p**2 + 3.
3*(p + 1)*(p + 2)/2
Let g = -7 - -10. Solve 13*z**g + 3*z + z - 17*z**3 = 0.
-1, 0, 1
Let b(j) be the second derivative of j**4/42 + 2*