*2 - 2/3*h**3 - 8*h. Factor p(a).
-(a + 4)**2/2
Let v(i) be the third derivative of i**6/840 + i**5/210 - i**4/56 + 249*i**2. Factor v(d).
d*(d - 1)*(d + 3)/7
Suppose 6*o = 3*o - 2*o. Suppose -4*w + 2*k + 2 = o, 3*w + 0*w + 5*k + 5 = 0. Factor 0 + w*a - 1/3*a**5 + 3/2*a**4 + 2/3*a**2 - 2*a**3.
-a**2*(a - 2)**2*(2*a - 1)/6
Let b = -14479 - -14481. Factor -3/5*u**b + 3/5*u**4 - 6/5*u**3 + 6/5*u + 0.
3*u*(u - 2)*(u - 1)*(u + 1)/5
Let h = 21 + 20. Let k = -39 + h. Find z such that 3*z + 9/2 + 1/2*z**k = 0.
-3
Let i = -5/1066 - -6431/7462. Determine u, given that 8/7 - 2/7*u**2 - i*u = 0.
-4, 1
Factor 3/2*w**3 - 42*w + 48 + 6*w**2.
3*(w - 2)**2*(w + 8)/2
Find v such that -60*v - 2*v**3 + 24*v + 12*v + 13 + 24*v**4 + 24*v**3 - 52*v**2 + 3 - 10*v**5 = 0.
-1, 2/5, 2
Suppose 52*k - 209 = -53. Solve 10/11*n**2 - 4/11*n - 6/11*n**k + 0 = 0 for n.
0, 2/3, 1
Let n(h) be the third derivative of h**11/776160 - h**9/141120 - 7*h**5/15 + 30*h**2. Let i(a) be the third derivative of n(a). Solve i(p) = 0.
-1, 0, 1
Let o(v) = -115*v + 6*v**2 + 30 + 33*v + 48*v. Let b(w) = -13*w**2 + 69*w - 61. Let x(u) = 2*b(u) + 5*o(u). Solve x(z) = 0 for z.
1, 7
Let g(p) be the third derivative of p**5/5 + 2*p**4/3 + 2*p**2. Factor g(n).
4*n*(3*n + 4)
Let t(b) be the third derivative of b**5/120 - 7*b**4/12 + 49*b**3/3 + 2*b**2 - 49. Determine s, given that t(s) = 0.
14
Let y(r) = r**3 - 9*r**2 + 7*r + 11. Let m be y(8). Let v(q) be the third derivative of 0*q + 0 + 1/300*q**5 + 1/10*q**m + 1/30*q**4 - q**2. Factor v(z).
(z + 1)*(z + 3)/5
Let j(v) be the second derivative of v**5/25 - 3*v**4/5 + 16*v**3/15 + 5*v. Determine s so that j(s) = 0.
0, 1, 8
Solve 20*q + 33/2*q**2 + 8 + 1/2*q**4 + 5*q**3 = 0 for q.
-4, -1
Let n(r) be the first derivative of 20*r**3/3 + 15*r**2/2 - r - 2. Let x(c) = -7*c**2 - 5*c. Let f(q) = 6*n(q) + 17*x(q). Find d such that f(d) = 0.
-6, 1
Let b(a) be the first derivative of -a**6/120 - 3*a**5/10 - 9*a**4/2 - 36*a**3 - 23*a**2/2 + 8. Let z(s) be the second derivative of b(s). Factor z(m).
-(m + 6)**3
Let s be -7 - ((-210)/24 - -1). Let v(t) be the first derivative of -1/12*t**3 + s*t**4 + 1/4*t**5 - t - 3/2*t**2 + 3. Solve v(w) = 0.
-2, -1, -2/5, 1
Let y be (-6 - -6)/(13 + -12). Let i(z) be the second derivative of 6*z + 43/2*z**5 - 16*z**2 + 10/3*z**6 - 52/3*z**3 + y + 8*z**4. Suppose i(d) = 0. What is d?
-4, -2/5, 1/2
Suppose -3*p + 18 = 6, -4*i = -5*p + 104. Let c be 0/(7/(-3) + (-7)/i). Factor 0 + 6/11*s**3 - 2/11*s**2 + c*s.
2*s**2*(3*s - 1)/11
Let i(f) be the third derivative of 1/20*f**5 - 1/2*f**4 + 0 - 9*f**2 + 2*f**3 + 0*f. Factor i(z).
3*(z - 2)**2
Let d(l) be the second derivative of l**6/10 + 9*l**5/10 + 9*l**4/4 + 2*l**3 + 56*l. What is w in d(w) = 0?
-4, -1, 0
Suppose 3*q + 379*g - 375*g - 33 = 0, -q + 4*g - 21 = 0. Factor -s**q + 0 + 1/2*s + 1/2*s**2.
-s*(s - 1)*(2*s + 1)/2
Factor 1/4*o**2 - 21/2*o + 0.
o*(o - 42)/4
Let b(a) be the third derivative of 0 - 14*a**2 + 0*a - 1/56*a**4 - 1/30*a**5 + 1/21*a**3 + 1/56*a**6. Factor b(l).
(l - 1)*(3*l - 1)*(5*l + 2)/7
Let k be 7 - ((-1980)/27)/(-11). Suppose 1/3*r + k*r**2 - 2 = 0. What is r?
-3, 2
Let p(i) be the first derivative of -i**6/39 + 3*i**4/13 + 16*i**3/39 + 3*i**2/13 + 48. Find d, given that p(d) = 0.
-1, 0, 3
Suppose 0 = -10*g + 4*g + 18. Suppose -g*h - 2*h = -10. Let 3/5*v**3 - 3/5*v**h - 9/5 - 3*v = 0. What is v?
-1, 3
Let f(p) = -2*p**4 - 2*p**3 - p**2 - p + 1. Let d(z) = 16*z**4 - 50*z**3 - 431*z**2 - 677*z - 7. Let g(q) = -2*d(q) - 14*f(q). Factor g(a).
-4*a*(a - 38)*(a + 3)**2
Let t(c) be the first derivative of c**6/30 + c**5/15 - c**4/6 - 2*c**3/3 - 3*c**2 - 8. Let f(k) be the second derivative of t(k). Find d, given that f(d) = 0.
-1, 1
Let b(f) be the first derivative of -46*f**3/3 + 88*f**2 + 32*f - 98. Find j such that b(j) = 0.
-4/23, 4
Let x(l) = l**4 + l**3 - l**2 - l. Let u(o) = -3*o**4 + 0*o**4 + 5*o**4 + 2*o**3 - 2*o**2 - 2*o. Let y(z) = u(z) - 4*x(z). Factor y(d).
-2*d*(d - 1)*(d + 1)**2
Let t(c) = 7*c**4 - 103*c**3 + 284*c**2 + 108*c - 2. Let i(h) = 48*h**4 - 720*h**3 + 1986*h**2 + 756*h - 15. Let v(z) = 2*i(z) - 15*t(z). Solve v(d) = 0.
-1/3, 0, 6
Let m = 29/329 + 4287/3619. Factor 0*c**2 - m*c**4 + 0 + 0*c + 4/11*c**3.
-2*c**3*(7*c - 2)/11
Let t = 57 + -52. Suppose 0 = 7*f + t - 26. Factor 27/7*o + 30/7*o**2 + 6/7 + 9/7*o**f.
3*(o + 1)*(o + 2)*(3*o + 1)/7
Suppose -w + 3*i = 7, -4*w + 4*i + 14 = 6*i. Let 4/17*h + 2/17 + 2/17*h**w = 0. Calculate h.
-1
Factor 14/3*x**2 - 36*x - 32/3.
2*(x - 8)*(7*x + 2)/3
Let r(o) = o**3 + 16*o**2 + 25*o - 37. Let k be r(-3). Suppose -25/3*f**3 + 5/3*f - 2/3 - 17/3*f**4 + 19/3*f**2 + 20/3*f**k = 0. What is f?
-1, -2/5, 1/4, 1
Let s(a) be the first derivative of a**4/4 - 4*a**3/3 + 2*a + 8. Let b be s(4). Solve 2 - 6 + b*v**2 + 4 = 0 for v.
0
Suppose -o + 44 - 37 = -4*i, -4*i - 19 = -5*o. Find k, given that -2/11*k**5 + 0*k**2 - 10/11*k**4 + 0*k + 0 - 8/11*k**o = 0.
-4, -1, 0
Let k = 361 + -357. Let m(a) be the first derivative of 1/20*a**5 + 0*a + 1/4*a**3 - 3/16*a**k - 1/8*a**2 + 7. Suppose m(v) = 0. Calculate v.
0, 1
Let z(s) be the third derivative of s**5/12 - 25*s**4/24 - 81*s**2. Determine t so that z(t) = 0.
0, 5
Let u(c) be the first derivative of -c**4/12 + c**3/3 - c**2/2 - 8*c + 5. Let h(z) be the first derivative of u(z). Factor h(i).
-(i - 1)**2
Let i be (2/2)/(1/3). Suppose 0 = i*a - 6*a + 12. Factor 4 - 2 + 5*j + 3*j**2 - a*j**2 - 2*j**2.
-(j - 2)*(3*j + 1)
Let u be (27/12)/9 + (-98)/8. Let v(d) = 9*d**4 - d**3 + 5. Let y(k) = 22*k**4 - 2*k**3 + 12. Let x(f) = u*v(f) + 5*y(f). Factor x(l).
2*l**3*(l + 1)
Let z(f) = -f**2 + f - 1. Suppose 5*q - 7 = -2. Suppose q + 3 = -4*d. Let s(u) = -u**3 + 5*u**2 - 3*u + 3. Let j(i) = d*s(i) - 4*z(i). Factor j(b).
(b - 1)**2*(b + 1)
Let r(s) = -11*s**3 - 2*s**2 + 5*s + 2. Let y = 34 + -40. Let k(h) = 12*h**3 + 2*h**2 - 5*h - 2. Let j(f) = y*k(f) - 7*r(f). Factor j(t).
(t - 1)*(t + 1)*(5*t + 2)
Let z(p) be the first derivative of -5/2*p**2 - 5*p**3 + 5/4*p**4 + 18 + 15*p. Factor z(d).
5*(d - 3)*(d - 1)*(d + 1)
Let s = 14 - 16. Let o be -3 + 4 + s/(-4). Solve -9/4*d**4 + 15/4*d**5 + 0*d + 0 - o*d**3 + 0*d**2 = 0 for d.
-2/5, 0, 1
Factor 0*j + 1/8*j**3 + 0 - 3/4*j**2.
j**2*(j - 6)/8
Suppose 2/11*l**3 - 2/11*l**5 + 0*l + 2/11*l**4 + 0 - 2/11*l**2 = 0. What is l?
-1, 0, 1
Factor -3*q + 9/4 + 3/4*q**2.
3*(q - 3)*(q - 1)/4
Suppose 2*b + 12 = 4*p - p, 5*p + 5*b + 5 = 0. Let f(q) = -q**2 - 9*q - 15. Let y be f(-3). Solve -8*m**y + 2*m**p - 3*m**2 - m**2 + 7*m**3 = 0 for m.
-2, 0
Let l be -2*1 + (18 - 17). Let a be -3 - (l/(-7) - (-43)/(-7)). Determine w, given that 2 + 97/2*w**2 + 18*w + 8*w**4 + 36*w**a = 0.
-2, -1/4
Suppose 7*k = -0*k + k. Let u = -529/2 - -274. Factor -7/2*v**5 - 15/2*v**3 + k - 1/2*v**2 - u*v**4 + v.
-v*(v + 1)**3*(7*v - 2)/2
Let b(p) be the third derivative of p**6/6 + 17*p**5/30 + p**4/3 + 5*p**3/3 - 15*p**2. Let j(c) be the first derivative of b(c). Factor j(v).
4*(v + 1)*(15*v + 2)
Let d = -21 + 23. Let m(b) be the second derivative of -1/18*b**4 + 0*b**2 + 1/60*b**5 + 0*b**3 + d*b + 0. Find l such that m(l) = 0.
0, 2
Let a(o) be the first derivative of -2 + 1/21*o**7 - 7*o + 0*o**2 + 0*o**5 - 1/15*o**6 + 0*o**3 + 0*o**4. Let p(t) be the first derivative of a(t). Factor p(f).
2*f**4*(f - 1)
Let s(n) be the second derivative of -n**4/36 - 37*n**3/18 - 6*n**2 - 697*n. Suppose s(g) = 0. What is g?
-36, -1
Let h(x) = -7*x**4 + 10*x**3 + 9*x**2 - 10*x + 1. Let r(u) = -6*u**4 + 9*u**3 + 8*u**2 - 9*u. Let y(s) = -4*h(s) + 6*r(s). Find q, given that y(q) = 0.
-1, -1/4, 1, 2
Let c(r) be the first derivative of 2*r**5/35 - 13*r**4/14 + 32*r**3/7 - 36*r**2/7 + 82. Let c(p) = 0. What is p?
0, 1, 6
Let g be (2/((-98)/21))/(6/(-8)). Factor -1/7*f + 3/7*f**3 + 18/7*f**4 + 0 - g*f**2.
f*(2*f - 1)*(3*f + 1)**2/7
Let y(h) = h**2 + 13*h - 114. Let g be y(-19). Let w(z) be the first derivative of -5/4*z**4 + 10/3*z**3 + g*z + 3 - 5/2*z**2. What is n in w(n) = 0?
0, 1
Let j(u) be the third derivative of -u**7/175 - u**6/120 + 11*u**5/300 + 347*u**2. Let j(q) = 0. What is q?
-11/6, 0, 1
Let x(c) be the first derivative of 0*c**3 + 2/9*c**2 + 0*c + 43 - 1/9*c**4. Factor x(k).
-4*k*(k - 1)*(k + 1)/9
Determine j, given that j**2 + 10*j + 13*j**2 - 9*j**2 = 0.
-2, 0
Let t(n) be the fi