(g + 2)
Let i(w) = -12*w - 49. Let c be i(-5). Factor c*b + 30*b**3 - b**4 + 7*b**2 - b**5 + 7*b**2 - 24*b**3 + 3.
-(b - 3)*(b + 1)**4
Let x(p) be the first derivative of -18 - 2/25*p**5 - 1/15*p**6 + 3/10*p**4 + 2/3*p**3 + 2/5*p**2 + 0*p. Factor x(q).
-2*q*(q - 2)*(q + 1)**3/5
Let l = -158 - -363. Let m = -203 + l. Factor 4/11*x**m + 2/11*x + 2/11*x**3 + 0.
2*x*(x + 1)**2/11
Let y be (-7)/1 + 19 + -10. Let s(a) be the first derivative of -2 + 9/2*a**y - 5*a**3 + 6*a. Determine i so that s(i) = 0.
-2/5, 1
Let w(i) be the second derivative of -i**4/4 - 52*i**3 - 4056*i**2 - 154*i + 1. Solve w(j) = 0 for j.
-52
Let w(o) be the second derivative of o**4/12 + o**3/6 - 11*o. Let y(u) = -3*u**3 + 5*u**2 + 2*u. Let c(i) = -2*w(i) + y(i). Factor c(z).
-3*z**2*(z - 1)
Let x(y) be the second derivative of 2*y**6/15 + y**5/5 - y**4 - 2*y**3/3 + 4*y**2 + 67*y. Factor x(m).
4*(m - 1)**2*(m + 1)*(m + 2)
Let o(n) be the third derivative of 1/120*n**4 + 22*n**2 + 1/5*n**3 + 0 - 1/300*n**5 + 0*n. Find r such that o(r) = 0.
-2, 3
Let m(n) = n**3 + 4*n**2 + 1. Let u be m(-3). Suppose -2*b + 0*b + u = 0. Factor 3/2*z + z**4 + 1/3 + 1/6*z**b + 7/3*z**3 + 8/3*z**2.
(z + 1)**4*(z + 2)/6
Let n be 3*-3*(-2)/6. Suppose m + n*m = 16. Factor -2*y**2 + 3*y**m + 3*y**2 - 4*y**2.
3*y**2*(y - 1)*(y + 1)
Suppose -4*g - 2*h = -4, -h - 7 = -4*g + 3*g. Determine j, given that -4*j**2 + 32*j - 15*j - 12 + 3*j - 4*j**g = 0.
-3, 1
Let k(o) be the second derivative of 3/80*o**5 + 0 + 21/40*o**6 - 1/8*o**4 + 0*o**3 + 0*o**2 - 12*o. Find c such that k(c) = 0.
-1/3, 0, 2/7
Suppose 2*b = -3*g - 5 - 7, -19 = 2*g + 5*b. Let v be (1 - (-2)/g) + 2. Factor 2*n**v - n - 5*n + 5*n + 3*n.
2*n*(n + 1)
Let k(d) = -2*d**3 + 98*d**2 + 223*d + 131. Let n(u) = -u**3 + 33*u**2 + 74*u + 44. Let g(f) = 4*k(f) - 11*n(f). Factor g(a).
(a + 4)*(a + 5)*(3*a + 2)
Let q be ((-15 - -15)/5)/(2 - 6). Find s, given that 1/5*s**3 + q + 0*s - 3/5*s**2 = 0.
0, 3
Let c = 33 - 50. Let v(t) = 20*t**4 - 23*t**2 + 17*t + 3. Let h(b) = 7*b**4 - 8*b**2 + 6*b + 1. Let l(q) = c*h(q) + 6*v(q). Find u such that l(u) = 0.
-1, 1
Let d(h) be the first derivative of -h**5/5 - 6*h**4 - 54*h**3 + 2187*h - 414. Factor d(q).
-(q - 3)*(q + 9)**3
Let n(y) be the first derivative of 1/12*y**4 + 4/3*y + 4/3*y**2 + 5/9*y**3 + 34. Factor n(o).
(o + 1)*(o + 2)**2/3
Let g(c) be the first derivative of 10 + 0*c - 3/16*c**2 - 1/8*c**3. Find p, given that g(p) = 0.
-1, 0
Let x be (-1)/(-13 - 418/(-33)). Find r such that 11/6*r**2 - 2/3*r**x - 5/6*r - 1/3 = 0.
-1/4, 1, 2
Let d(h) be the first derivative of -2*h**5/65 - 4*h**4/13 - 14*h**3/13 - 22*h**2/13 - 16*h/13 - 77. Let d(f) = 0. What is f?
-4, -2, -1
Let r(h) be the first derivative of 2*h**5/5 + 23*h**4/2 + 80*h**3 - 144*h**2 - 38. Factor r(k).
2*k*(k - 1)*(k + 12)**2
Factor n**3 + 4*n**3 - 11*n**5 + 6*n**4 + 13*n**5 + 2*n**4 + n**3.
2*n**3*(n + 1)*(n + 3)
Let w(r) be the third derivative of r**8/784 - 3*r**7/245 + r**6/35 + r**5/70 - 9*r**4/56 + 2*r**3/7 - 22*r**2 + 2*r. Factor w(g).
3*(g - 4)*(g - 1)**3*(g + 1)/7
Let u(a) be the first derivative of 4/3*a**3 + 0*a**2 + 12/5*a**5 + 0*a + 6 + 3*a**4 + 2/3*a**6. Let u(c) = 0. Calculate c.
-1, 0
Determine c, given that -c**3 + 3/4*c + 1/2*c**4 - 1/2*c**2 + 1/4*c**5 + 0 = 0.
-3, -1, 0, 1
Suppose 4*m + 32 = 5*x, -4*m + 3*m - 23 = -5*x. Solve -3*l**3 + l - 153*l**2 + 158*l**2 - l**x + l**5 - 3*l = 0.
-2, 0, 1
Suppose -55 = -3*t - 2*t. Let n = t + -8. Factor -w**5 - w**5 - 2*w**4 - 2*w**4 - 2*w**2 + 5*w**n + 3*w**5.
w**2*(w - 2)*(w - 1)**2
Let r = -95 - -98. Suppose -6*j**2 - 22*j**2 + 0*j + 33*j**4 - 85*j**4 - 16*j**5 - 4*j - 60*j**r = 0. Calculate j.
-1, -1/4, 0
Factor 54*b + 6*b**4 - 130*b**2 - 50*b**2 + 270 + 120*b**3 - 76*b**3 - 2*b**5.
-2*(b - 3)**3*(b + 1)*(b + 5)
Let u(c) = 12*c**2 - 31*c + 19. Let x(j) = j**2 - 2*j + 1. Let a(y) = 4*u(y) - 44*x(y). Solve a(f) = 0.
1, 8
Let v(u) be the second derivative of -u**5/5 - 38*u**4/3 + 160*u**3/3 + 9*u - 6. Let v(s) = 0. What is s?
-40, 0, 2
Let 8/9*x**5 + 86/9*x**4 - 106/9*x**2 + 20/9 + 50/9*x**3 - 58/9*x = 0. Calculate x.
-10, -1, 1/4, 1
Let q(z) be the second derivative of 0*z**2 + 0*z**4 + 0 + 5/42*z**7 + 10/3*z**3 - 5/4*z**5 - 11*z + 0*z**6. Suppose q(g) = 0. What is g?
-2, -1, 0, 1, 2
Let k(z) be the first derivative of -11*z**6/40 + z**5/10 + 11*z**4/8 - z**3 - 6*z**2 - 2. Let l(t) be the second derivative of k(t). Factor l(y).
-3*(y - 1)*(y + 1)*(11*y - 2)
Let 9/4*g**3 + 45/8 - 33/4*g + 0*g**2 + 3/8*g**4 = 0. What is g?
-5, -3, 1
Let o(i) be the third derivative of i**7/1050 + i**6/60 + 11*i**5/100 + i**4/3 + 8*i**3/15 - 14*i**2. Let o(n) = 0. What is n?
-4, -1
Let h(y) = y**2 - 16*y + 16. Let k be h(15). Let x be (13/(-4) + k)/((-60)/40). What is g in -3/2*g - x*g**3 + 3*g**2 + 0 = 0?
0, 1
Let r be 45/12 + 11*(-45)/(-99). Solve 10*q + r + 5/4*q**2 = 0.
-7, -1
Let i = -22 + 22. Suppose 4*a + 5*k = 4*k + 12, i = -3*a - 4*k + 9. What is f in 0*f**2 + 2/9*f**4 + 0 - 2/3*f**a + 8/9*f = 0?
-1, 0, 2
Let j(t) be the third derivative of -4/3*t**3 + 0 + 0*t + 2/15*t**5 + 1/60*t**6 - 1/12*t**4 + 27*t**2. Let j(l) = 0. Calculate l.
-4, -1, 1
Let z(q) = -q**2 + q + 1. Let b(s) = 19*s + 25. Let w(t) = -b(t) - z(t). Let i(k) = -k**2 + 1. Let g(r) = -6*i(r) - w(r). Find u, given that g(u) = 0.
-2
Let x be (1 - 12/9)*-6. Factor 0*u**3 + 2*u + 6*u**3 - 6*u**2 - 2*u**4 + 0*u**x.
-2*u*(u - 1)**3
Let m(v) be the third derivative of v**5/240 + 5*v**4/24 + 19*v**3/24 - 167*v**2. Let m(i) = 0. Calculate i.
-19, -1
Factor -634 + 5*o**3 + 5*o + 634 + 10*o**2.
5*o*(o + 1)**2
Find k such that -11/2 - 1/8*k**2 + 3*k = 0.
2, 22
Let p be ((-20)/9*12/15)/(-23 + 21). Factor 0*n + 0*n**2 + 0 + 4/3*n**4 - p*n**3 - 4/9*n**5.
-4*n**3*(n - 2)*(n - 1)/9
Let k(o) be the third derivative of o**5/60 - o**4/2 + o**3/3 - 5*o**2 + 8*o. Let g be k(12). Factor 0*d - 2/11 + 2/11*d**g.
2*(d - 1)*(d + 1)/11
Let x(a) be the first derivative of -3/4*a**2 - 36 - 3/8*a**4 + 9*a - 2*a**3. Determine j so that x(j) = 0.
-3, -2, 1
Let m(l) be the third derivative of l**7/45 + 13*l**6/90 - l**5/6 - 13*l**4/18 + 8*l**3/9 + l**2 + 100. Find w, given that m(w) = 0.
-4, -1, 2/7, 1
Let d = 2 + 0. Find r such that 25*r**4 + 2*r**3 - d*r - 52*r**4 - 1 + 28*r**4 = 0.
-1, 1
Let n(d) be the third derivative of d**6/480 + 29*d**5/120 + 841*d**4/96 + 117*d**2. Determine f so that n(f) = 0.
-29, 0
Let n = 5370 + -10733/2. Suppose x + 5/2*x**4 + 9/2*x**3 + 1/2*x**5 + 0 + n*x**2 = 0. Calculate x.
-2, -1, 0
Let w(x) be the third derivative of 0*x**3 + 0 + 0*x - 1/420*x**5 + 1/56*x**4 + 30*x**2. Find p, given that w(p) = 0.
0, 3
Solve 15*p**2 - 2*p**4 - 2*p**4 - 36*p**3 + 69*p**2 - 58 + 58 - 44*p = 0 for p.
-11, 0, 1
Let j(l) = -l + 9. Let o be j(12). Let a(x) = 0*x**2 - 1 + 24*x + x**2 - 23*x. Let k(h) = -2*h**2 - 5*h + 3. Let i(q) = o*a(q) - k(q). Factor i(c).
-c*(c - 2)
Let r(d) = 4*d**5 - d**4 - 5*d**3 - 3*d**2 + 3. Let p(v) = -7*v**5 + v**4 + 8*v**3 + 5*v**2 - 5. Let g(b) = 3*p(b) + 5*r(b). Find l such that g(l) = 0.
-1, 0
Let g(x) be the first derivative of 1 + 15/34*x**4 - 2/17*x**2 - 38/85*x**5 + 7/51*x**6 + 0*x - 2/51*x**3. Factor g(f).
2*f*(f - 1)**3*(7*f + 2)/17
Let q = -2477/4 - -2479/4. Solve q - 1/8*m**2 - 3/8*m = 0 for m.
-4, 1
Let a be (-1 - -2) + (-1 - -35). Let r be a/4 - (-2)/8. Determine c, given that r*c**3 + 2*c - 12*c**2 + 3*c**3 + 4*c**3 + 0*c**3 = 0.
0, 1/4, 1/2
Let k(d) = 6*d**3 + 8*d**2 + 5*d - 5. Let s(o) = -7*o**3 - 9*o**2 - 6*o + 6. Suppose v + 4*x + 38 = 4*v, 4*v - 29 = x. Let y(r) = v*k(r) + 5*s(r). Factor y(q).
q**2*(q + 3)
Find i such that -2/9*i**3 - 64/9*i**2 + 134/9*i - 68/9 = 0.
-34, 1
Let h(w) be the first derivative of -w**4 + 4*w**3 + 2*w**2 - 12*w - 188. Suppose h(i) = 0. Calculate i.
-1, 1, 3
Let j(c) be the second derivative of c**5/35 - 2*c**4/3 - 62*c**3/21 - 32*c**2/7 + 231*c. Factor j(l).
4*(l - 16)*(l + 1)**2/7
Let j(m) be the second derivative of -m**6/300 + m**5/100 - m**3/30 + m**2/20 + 61*m. Find w, given that j(w) = 0.
-1, 1
Let q be 3 + 1/((-15)/42). Let i = 3/10 + q. Factor -i*j + 1/4*j**2 + 1/4.
(j - 1)**2/4
Let g(i) be the first derivative of -i**6/18 - 22*i**5/15 - 79*i**4/6 - 416*i**3/9 - 147*i**2/2 - 54*i + 79. Suppose g(m) = 0. What is m?
-9, -2, -1
Let h(z) = z**4 - z**3 - 13*z + z**5 + 14*z + z*