/8*b**3 + 0 = 0.
0, 3
Let d be (-3)/(-2)*(-32)/(-24). Factor 11*f**3 + 30*f**4 + 6*f**5 + 20*f + 54*f**3 + 60*f**d - f**5.
5*f*(f + 1)**2*(f + 2)**2
Let i = -266 - -543/2. Let q = i + -4. Suppose 1/2*d**3 + 1/2 + 3/2*d + q*d**2 = 0. What is d?
-1
Let w(s) be the first derivative of -7/48*s**4 + 1/4*s**2 + 1/8*s**3 - 4 + 4*s + 1/24*s**6 - 3/80*s**5. Let y(b) be the first derivative of w(b). Factor y(j).
(j - 1)**2*(j + 1)*(5*j + 2)/4
Let g(y) = y**2 + 24*y + 4. Let h(u) = -4*u**2 - 71*u - 11. Let c = 5 + 6. Let x(o) = c*g(o) + 4*h(o). Suppose x(d) = 0. Calculate d.
-4, 0
Let z(s) be the first derivative of 1 + 3/2*s**2 + 1/3*s**3 + 2*s - 1/12*s**4. Let q(o) be the first derivative of z(o). Factor q(a).
-(a - 3)*(a + 1)
Let m(n) = 9*n**2 - 783*n + 2. Let z be m(87). Factor 0*h - 3/5*h**z + 4/5 - 1/5*h**3.
-(h - 1)*(h + 2)**2/5
Let n = 62 - 58. Suppose 0 = -4*a + n. Let -1/2*o**2 + 3/2*o - a = 0. What is o?
1, 2
Suppose 3*w + 2*v = 19, 3*v - 3 = 3*w + w. Factor 4 - 5*p**2 + 0*p**w + 4*p**2 - 9*p - p**3 + 7*p**2.
-(p - 4)*(p - 1)**2
Suppose 3*l - 2 - 10 = 0. Let t(f) = 6*f**2 + 2*f. Let q(i) = -17*i**2 - 6*i. Let j(h) = l*q(h) + 11*t(h). Factor j(o).
-2*o*(o + 1)
Factor 5210*p**4 + 5215*p**4 + 35*p**3 + 20 + 65*p + 75*p**2 - 10420*p**4.
5*(p + 1)**3*(p + 4)
Find b, given that -4/7*b**3 + 14*b**2 + 288/7 - 624/7*b = 0.
1/2, 12
Let y(z) = z**4 - z**3 - 1. Let l(p) = 15*p**3 - 5*p**2 + 10. Suppose -2*q - x + 26 = 2*x, q = -3*x + 16. Let f(t) = q*y(t) + l(t). Factor f(k).
5*k**2*(k + 1)*(2*k - 1)
Let c(u) be the second derivative of 4/9*u**3 + 1/189*u**7 + 0*u**2 + 2/27*u**4 - 1/10*u**5 + 0*u**6 + 0 + 8*u. Find h such that c(h) = 0.
-3, -1, 0, 2
Let w(q) be the second derivative of 6*q - 1/4*q**4 + 0 - 1/2*q**3 - 3/80*q**5 + 0*q**2. Factor w(b).
-3*b*(b + 2)**2/4
Suppose 0*q + 5*q = -25, -4*u - 2*q = 2. Find v such that 38*v**3 - 5*v - 3*v - 12*v**u - 42*v**3 = 0.
-2, -1, 0
Let k(r) be the first derivative of -r**3/6 + 12*r**2 - 47*r/2 + 143. Find y such that k(y) = 0.
1, 47
Let v(j) = -j**3 + 10*j**2 - 4*j + 17. Let i be v(9). Let w = 265/4 - i. Factor -5*n - n**3 - w*n**2 - 1.
-(n + 2)**2*(4*n + 1)/4
Let x(f) be the third derivative of 3*f**8/560 - 11*f**7/350 + 2*f**5/5 - 6*f**4/5 + 8*f**3/5 + 15*f**2 - 2. Suppose x(n) = 0. Calculate n.
-2, 2/3, 1, 2
Let m(w) be the first derivative of 4*w**3/9 - 104*w**2/3 + 2704*w/3 - 54. Suppose m(d) = 0. Calculate d.
26
What is j in 2/3*j**4 - 18/5*j**3 + 16/15 + 20/3*j**2 - 24/5*j = 0?
2/5, 1, 2
Suppose 0*o - 3*o = -2*o. Let f(x) be the first derivative of -2/27*x**3 - 2/9*x**2 + o*x - 1 + 7/6*x**4. Factor f(y).
2*y*(3*y - 1)*(7*y + 2)/9
Let a(n) be the second derivative of -4*n**2 - 30*n + 0 + 1/5*n**5 - 2*n**3 + 0*n**4. Let a(r) = 0. What is r?
-1, 2
Let y be (-126)/4*((-275)/66 - -4). Let i = 27/4 - y. Factor 3/2*s**2 + s**3 - i*s - 1.
(s - 1)*(s + 2)*(2*s + 1)/2
Let v(h) be the first derivative of 0*h**2 + 0*h - 1/6*h**3 + 32 - 1/24*h**6 - 5/16*h**4 - 1/5*h**5. Determine l so that v(l) = 0.
-2, -1, 0
Let v be ((3 - -2) + -5)/(0 + 1). Let b(l) be the third derivative of -1/15*l**5 + 0 + v*l + l**2 + 0*l**3 + 1/3*l**4. Factor b(z).
-4*z*(z - 2)
Suppose -4*y = -3*m + 3 + 19, -5*y = -4*m + 30. Suppose 2*q = -0*q + m. Factor 2*k**3 + 3*k**4 - 2*k**q - 4*k**4 - 2*k**2 + 3*k**4.
-2*k**2*(k - 1)**2*(k + 1)
Let o(f) = 4*f**2 + 34*f + 19. Let x(p) = -p**2 + 3*p. Let n be x(4). Let z(v) = -v**2 - 11*v - 6. Let k(y) = n*o(y) - 11*z(y). Factor k(d).
-5*(d + 1)*(d + 2)
Suppose 0 = -13*f + 59 - 59. Suppose 1/6*j + f - 2/3*j**2 - 1/3*j**4 + 5/6*j**3 = 0. Calculate j.
0, 1/2, 1
Let h(g) be the second derivative of 0*g**2 + 20/3*g**4 - 25*g + 21/5*g**5 - 24/5*g**6 - 8*g**3 + 0. Let h(d) = 0. Calculate d.
-3/4, 0, 2/3
Let g be 3 + -3 - 27/(-45). Factor r + 2/5 + g*r**2 - 1/5*r**3 - 1/5*r**4.
-(r - 2)*(r + 1)**3/5
Let j = 4120 + -4116. Solve -810*p**j + 16/3*p - 232/3*p**2 + 0 + 396*p**3 + 486*p**5 = 0.
0, 2/9, 1
Let l(k) be the third derivative of 0*k**5 + 0*k + 38*k**2 + 0 + 1/525*k**7 - 1/150*k**6 + 1/30*k**4 - 1/15*k**3. Let l(n) = 0. What is n?
-1, 1
Let s(b) be the first derivative of -b**4/14 + 2*b**3/7 + 4*b**2/7 - 24*b/7 + 336. Factor s(c).
-2*(c - 3)*(c - 2)*(c + 2)/7
Let x(o) be the first derivative of 8/5*o + 34 - 14/5*o**2 + 8/25*o**5 + 38/15*o**3 - 5/4*o**4 - 1/30*o**6. Factor x(v).
-(v - 2)**3*(v - 1)**2/5
Let b(g) be the first derivative of -2*g**3/9 - 5*g**2/3 - 8*g/3 - 301. Solve b(z) = 0.
-4, -1
Let z(g) be the second derivative of 5*g**4/12 - 110*g**3/3 - 456*g. Determine u so that z(u) = 0.
0, 44
Find h such that -48/7*h**2 + 15/7*h**5 - 12*h**4 + 144/7*h**3 - 48/7*h + 0 = 0.
-2/5, 0, 2
Let v(a) = -2*a**2 + 0*a + 2*a + a**2. Let m be v(2). Factor -2*o + o**2 + m*o**2 + o**2.
2*o*(o - 1)
Let i(q) be the third derivative of -q**7/3780 - q**6/324 - 2*q**5/135 - q**4/27 + 8*q**3/3 + 10*q**2. Let y(f) be the first derivative of i(f). Factor y(z).
-2*(z + 1)*(z + 2)**2/9
Let b(r) = -r**2 + 5*r - 1. Let w(h) = -h**2 + 4*h. Let s(z) = -4*b(z) + 5*w(z). Factor s(v).
-(v - 2)*(v + 2)
Factor -9/7*g + 12/7 - 3/7*g**2.
-3*(g - 1)*(g + 4)/7
Suppose 5*v - 19 = a, 4*a + 27 = 5*v - 4. Suppose v*m - 3*h - 6 = 5*m, m = h + 7. Determine d, given that -d**3 + 0*d + d + 2*d**m + 2*d**2 = 0.
-1, 0
Let a = 1524 - 4570/3. Find x, given that a*x**2 - 2*x + 4/3 = 0.
1, 2
Let m be 7*6/42 + -1. Let c(a) be the first derivative of -a + 1/3*a**3 + m*a**2 - 4. Suppose c(d) = 0. What is d?
-1, 1
Let n = -272987/9070 - 2/907. Let f = -59/2 - n. Factor f*c**2 + 0 - 1/5*c.
c*(3*c - 1)/5
Let j(o) be the second derivative of o**4/60 - 37*o**3/10 + 11*o**2 - 93*o + 2. Factor j(i).
(i - 110)*(i - 1)/5
Suppose 30 = 13*m - 22. Let w(s) be the first derivative of -4/27*s**3 + 5 + 0*s**2 - 1/18*s**m + 0*s. Factor w(o).
-2*o**2*(o + 2)/9
Let x(v) = v**3 + 8*v**2 + 8*v + 4. Let d be x(-7). Let c be 0/(1*d/((-3)/(-3))). Find z such that c*z + 0 - 2/7*z**2 = 0.
0
Let r = 147 + -126. Suppose r = 9*p + 3. Factor 2/5*w**p + 6/5*w + 4/5.
2*(w + 1)*(w + 2)/5
Find j, given that 28/3*j**2 + 0 + 0*j - 26/3*j**3 = 0.
0, 14/13
Let i be 10/8 + (-9)/(-12). Suppose -i*j + 0*j - 26 = -4*y, -3*j - 34 = -5*y. What is m in 8/3*m + 52/3*m**4 + 0 - 12*m**3 - 20/3*m**y - 4/3*m**2 = 0?
-2/5, 0, 1
Let c = 11 + -6. Let m = c - 1. Factor 1 - 3*i**3 - 5 + m.
-3*i**3
Let c = -49096881/264220 - -1/264220. Let x = c - -186. Factor x*y**4 + 2/11*y - 4/11*y**3 + 2/11 + 2/11*y**5 - 4/11*y**2.
2*(y - 1)**2*(y + 1)**3/11
Let s(u) = -2 + u - u**3 - 11*u - 2*u**2 + u**3 + 3*u**3. Let f(j) = 3*j**3 - 2*j**2 - 11*j - 2. Let k(r) = 3*f(r) - 4*s(r). Suppose k(x) = 0. What is x?
-1, -1/3, 2
Let b be (14 - 627/45)*6. Find x such that 3/5*x - 3/5*x**3 - 2/5*x**2 + b = 0.
-1, -2/3, 1
Let i be 152/5 - (1 - (-3)/(-5)). Let q be 0 - ((-3)/(-15) + (-51)/i). Suppose -q*d**3 - 12*d + 15/2*d**2 + 6 = 0. What is d?
1, 2
Let u(v) be the third derivative of -v**6/1080 + v**5/180 - 57*v**2. Factor u(h).
-h**2*(h - 3)/9
Let v(x) be the second derivative of -x**7/105 + 14*x**6/75 - 16*x**5/25 - 64*x**4/15 - x + 29. Factor v(z).
-2*z**2*(z - 8)**2*(z + 2)/5
Let y be 99/54*(-5)/(-55). Let r(a) be the first derivative of -1/9*a**3 - 1 + y*a**4 + 0*a**2 + 0*a. Factor r(b).
b**2*(2*b - 1)/3
Let f(p) = -p**2 - 11*p + 4. Let w be f(-11). Factor 300*v - 2*v**5 + 39*v**w - 30*v**2 + 375 + 225*v + 34*v**3 - v**5 - 172*v**3.
-3*(v - 5)**3*(v + 1)**2
Let q = 122 - 120. Factor 9*g - 11*g - g + q + g**2.
(g - 2)*(g - 1)
Let h(f) = f**4 - f**3 - f**2 + f - 2. Let n(c) = 3*c**5 + 65*c**4 + 454*c**3 + 1354*c**2 + 1730*c + 764. Let x(i) = 2*h(i) - n(i). Solve x(g) = 0 for g.
-8, -2, -1
Let t(k) be the second derivative of -295/12*k**4 - 5*k**2 - 35/2*k**3 + 0 - 15/4*k**5 - 3*k + 25/6*k**6. Factor t(y).
5*(y - 2)*(y + 1)*(5*y + 1)**2
Let i(m) = -m**3 + 2*m**2 + 3*m - 4. Let b be i(2). Suppose -1 = -t + b. Determine f so that 0*f**3 - f**5 + 2*f**t + 2*f**2 + f**3 = 0.
-1, 0, 2
Let i(k) = 130*k - 778. Let z be i(6). Suppose 4/9 - 2/9*q**z + 2/9*q = 0. What is q?
-1, 2
Let h(w) be the first derivative of -5*w**6/6 - 2*w**5 + 5*w**4/4 + 10*w**3/3 - 34. Let h(v) = 0. What is v?
-2, -1, 0, 1
Let t(u) be the third derivative of -u**6/600 + 49*u**5/300 - 115*u**4/24 - 125*u**3/6 + 4*u**2 + 11. Determine i so that t(i) = 0.
-1, 