 + 6*v + 5. Let j be (-14)/4*(-32)/56. Let s(h) = j*c(h) + 5*w(h). Factor s(d).
(d + 1)*(d + 3)
Let b(a) = 3*a - 4 + 0*a - 3*a**3 - 4*a**3 + 4*a. Let y(d) = -6*d**3 + 6*d - 3. Let t(s) = -3*b(s) + 4*y(s). Find j such that t(j) = 0.
-1, 0, 1
Let q(y) be the second derivative of 50*y**7/21 + 14*y**6/3 - 39*y**5/5 - 19*y**4/3 - 4*y**3/3 - 2*y - 1. What is n in q(n) = 0?
-2, -1/5, 0, 1
Let u(w) be the third derivative of w**7/1155 + w**6/132 + 4*w**5/165 + w**4/33 - 20*w**2. Find g such that u(g) = 0.
-2, -1, 0
Suppose 0 = -2*j + 5*j - 6. Let p = j - -1. Factor -p + 6*r + 15/4*r**2.
3*(r + 2)*(5*r - 2)/4
Let o(j) = -j**2 + 9*j - 6. Let y be o(8). Let -l + 2*l**2 + y*l + l = 0. Calculate l.
-1, 0
Let j(d) be the third derivative of d**8/1680 - d**7/175 + 13*d**6/600 - d**5/25 + d**4/30 - 6*d**2. Factor j(g).
g*(g - 2)**2*(g - 1)**2/5
Let u(f) be the second derivative of -7*f**4/4 + 15*f**3 - 12*f**2 - 50*f. Factor u(c).
-3*(c - 4)*(7*c - 2)
Factor 3*u + 4*u**2 - 4*u - 8*u**2 - 11*u.
-4*u*(u + 3)
Let a(n) be the first derivative of 5 + 9/5*n + 3/5*n**2 + 1/15*n**3. Determine y so that a(y) = 0.
-3
Let z(o) be the second derivative of 1/30*o**4 + 0*o**3 + 0 - 1/75*o**6 - 6*o + 0*o**5 + 0*o**2. Suppose z(j) = 0. What is j?
-1, 0, 1
Let u = 656/245 - -6/49. Let w(j) = j**3 - 5*j**2 + 6*j - 6. Let g be w(4). Factor -u*b**g + 0 + 4/5*b.
-2*b*(7*b - 2)/5
Suppose 2*d = 4*t, 2*t = -4*d + 11 + 9. Factor -t*h - 3*h**3 + 6*h**3 - h**3.
2*h*(h - 1)*(h + 1)
Let b = -14 - -21. Let l be (-31)/b + 1 + 4. Let 2/7*z**2 + l - 6/7*z = 0. Calculate z.
1, 2
Let f(r) be the second derivative of -r**6/60 + r**5/20 + r**4/24 - r**3/6 + 9*r. Find b such that f(b) = 0.
-1, 0, 1, 2
Let k = -55/24 + 21/8. Let a be 1*-2*(-2)/12. Factor -k*g**2 + 2/3*g - a.
-(g - 1)**2/3
Let p be -1 - -2*(-1)/(-2). Suppose p*s = 4*s - 8. Factor -1/3*k - 2/3*k**s + 0 - 4/3*k**4 + 7/3*k**3.
-k*(k - 1)**2*(4*k + 1)/3
Let i(s) be the third derivative of -s**9/37800 - s**8/8400 + s**7/6300 + s**6/900 - s**4/6 - s**2. Let q(r) be the second derivative of i(r). Factor q(b).
-2*b*(b - 1)*(b + 1)*(b + 2)/5
Let i(p) be the first derivative of 5*p**3/9 + 4*p**2/3 - 4*p/3 - 6. Factor i(r).
(r + 2)*(5*r - 2)/3
Suppose 0 = 4*f - 16 + 4. Determine x so that f*x**2 + 4*x**2 + 3*x - 7*x - 5*x**2 + 2 = 0.
1
Suppose 3/2*t**2 + 3/4*t + 0 - 3/2*t**4 + 0*t**3 - 3/4*t**5 = 0. What is t?
-1, 0, 1
Let v = 98/145 - 8/29. Find p such that 2*p**3 + 18/5*p**2 + v*p**4 + 4/5 + 14/5*p = 0.
-2, -1
Let x be (-4)/14 + 14/49. Suppose x = 5*h + 2*k - 5 - 6, -h - 5*k = 7. Find r such that -r**4 - 5 + 3*r**3 - r**h + 5 = 0.
0, 2
Find g such that 0*g**2 + 0*g + 1/4*g**3 + 1/4*g**5 + 0 + 1/2*g**4 = 0.
-1, 0
Let i = 324 - 37. Suppose i*d**2 + 155*d**2 + 11 + 970*d**3 + 1008*d**4 + 392*d**5 - 3 + 96*d = 0. What is d?
-1, -1/2, -2/7
Let y(w) be the second derivative of 1/3*w**4 + 0*w**2 - 2/5*w**5 + 0*w**3 - 4*w + 0. What is g in y(g) = 0?
0, 1/2
Factor -12/19*y**4 + 2/19*y**5 - 4/19 - 32/19*y**2 + 28/19*y**3 + 18/19*y.
2*(y - 2)*(y - 1)**4/19
Let t(m) be the second derivative of 0 - 3/4*m**2 + 0*m**3 + 1/8*m**4 + 2*m. Factor t(d).
3*(d - 1)*(d + 1)/2
Let r = -32 + 34. Suppose 0*g + 0 + 2/7*g**r = 0. What is g?
0
Let z(n) be the third derivative of -7*n**7/30 + 7*n**6/12 + n**5/20 - 5*n**4/6 - 2*n**3/3 + n**2. Let z(o) = 0. What is o?
-2/7, 1
Let r(h) be the second derivative of -h**5/4 - 5*h**4/6 - 5*h**3/6 + 2*h. Suppose r(u) = 0. What is u?
-1, 0
Let t(g) be the first derivative of g**5/2 + 17*g**4/8 + 8*g**3/3 + g**2 - 8. Factor t(z).
z*(z + 1)*(z + 2)*(5*z + 2)/2
Let q(t) be the first derivative of -1/9*t**2 + 1 + 0*t**3 + 1/54*t**4 - 3*t. Let p(z) be the first derivative of q(z). Determine s, given that p(s) = 0.
-1, 1
Let t(c) be the second derivative of -c**4/6 + 2*c**3/3 + 11*c. Factor t(s).
-2*s*(s - 2)
Let f(v) be the second derivative of v**6/6 - v**5/4 - 5*v**4/4 + 25*v**3/6 - 5*v**2 - 10*v. Suppose f(t) = 0. What is t?
-2, 1
Suppose j + 2 = 3*b, 2*j - 1 = b + 5. Let q be 2 - 2/(-4)*2. Factor b*r**q + 4*r + r - 6*r**2 + r - 2.
2*(r - 1)**3
Let n(h) be the third derivative of -h**6/480 + h**5/240 + 3*h**2. Let n(i) = 0. Calculate i.
0, 1
Let j(s) be the third derivative of s**6/108 + s**5/90 - s**4/9 + 4*s**3/27 - 15*s**2. Factor j(v).
2*(v - 1)*(v + 2)*(5*v - 2)/9
Let k be 28/(-6) - (-5 - 2 - -2). Determine y so that 0*y - 1/3*y**2 + k = 0.
-1, 1
Let g be 90/(-40)*8/(-6). Let s(b) be the third derivative of -1/24*b**4 - g*b**2 + 0*b + 0 + 0*b**3 - 1/30*b**5 - 1/120*b**6. Determine n so that s(n) = 0.
-1, 0
Let n(r) be the second derivative of r**6/120 + 7*r**5/80 + 5*r**4/48 - 7*r**3/24 - 3*r**2/4 - 20*r. Solve n(h) = 0 for h.
-6, -1, 1
Let f(j) = -j**4 - j**3. Let g(z) = 19*z**4 - 2*z**3 - 15*z**2 + 6*z. Let w(c) = 4*f(c) + g(c). Factor w(m).
3*m*(m - 1)*(m + 1)*(5*m - 2)
Let p(t) = -t**4 - 30*t**3 - 30*t**2 - 14*t + 6. Let c(k) = 3*k**4 + 60*k**3 + 61*k**2 + 27*k - 11. Let u(d) = 6*c(d) + 11*p(d). Factor u(g).
g*(g + 2)**2*(7*g + 2)
Let m(g) be the second derivative of -7*g**4/3 + 10*g**3/3 + 4*g**2 - 2*g. Solve m(j) = 0 for j.
-2/7, 1
Let w(u) be the third derivative of -u**8/84 + u**6/30 + 2*u**2. Let w(f) = 0. Calculate f.
-1, 0, 1
Let w(m) be the second derivative of -m**9/25200 - m**8/5600 + m**4/3 + 10*m. Let k(p) be the third derivative of w(p). Solve k(b) = 0.
-2, 0
Let q(f) be the first derivative of -2*f**5/15 + f**4/6 + 1. Solve q(x) = 0.
0, 1
Let a(q) be the first derivative of -1/240*q**6 + q**3 + 0*q + 0*q**2 + 1/8*q**4 + 1 - 1/80*q**5. Let j(d) be the third derivative of a(d). Factor j(g).
-3*(g - 1)*(g + 2)/2
Let a = -3 + 13. Suppose a = 4*t - 2*t. Suppose t*g**3 + g**2 + 0*g**3 - 3*g**2 - 3*g**3 = 0. What is g?
0, 1
Suppose 4/13 - 6/13*g**2 + 2/13*g**3 + 2/13*g**4 - 2/13*g = 0. What is g?
-2, -1, 1
Let d(n) be the second derivative of n**6/270 + n**5/90 - n**4/108 - n**3/27 - 21*n. Factor d(x).
x*(x - 1)*(x + 1)*(x + 2)/9
Let -129/5*s**3 + 48/5 - 168/5*s + 33/5*s**4 + 219/5*s**2 - 3/5*s**5 = 0. What is s?
1, 4
Factor 14/3*v - 16/3 + 2/3*v**2.
2*(v - 1)*(v + 8)/3
Suppose 4/9*k**2 + 2/9*k + 0 - 2/3*k**3 = 0. Calculate k.
-1/3, 0, 1
Let r(w) be the second derivative of w**5/4 + 5*w**4/12 - 10*w**3/3 - 10*w**2 + 10*w. Determine x, given that r(x) = 0.
-2, -1, 2
Let n be (-15)/(-3) - 4/2. Let p(g) be the second derivative of 0*g**3 + 1/40*g**6 + 0 + 1/16*g**4 + 3/40*g**5 + 0*g**2 - n*g. Find k such that p(k) = 0.
-1, 0
Let d(v) be the first derivative of 2*v**3/3 + 4*v**2 + 6*v - 9. Factor d(y).
2*(y + 1)*(y + 3)
Let y(d) = -7*d**3 - 4*d**2 - 3*d - 1. Let q(o) = -11*o**3 - 6*o**2 - 5*o - 2. Let r(i) = 5*q(i) - 8*y(i). Factor r(m).
(m - 1)*(m + 1)*(m + 2)
Let t(g) = 6 + 2*g**3 - 6*g**2 + 3*g**2 + 1 + 10*g + 11*g**2. Let k(h) = -4*h**3 - 16*h**2 - 20*h - 15. Let r(l) = 3*k(l) + 7*t(l). Factor r(x).
2*(x + 1)**2*(x + 2)
Let u(a) be the third derivative of a**10/126000 + a**9/100800 + a**5/10 + 2*a**2. Let m(j) be the third derivative of u(j). Factor m(k).
3*k**3*(2*k + 1)/5
Let f(l) be the second derivative of -l**7/420 + l**6/90 + l**5/60 - l**4/6 + l**3/3 + l. Let p(j) be the second derivative of f(j). Let p(i) = 0. What is i?
-1, 1, 2
Factor 3*c**5 + 2 + 3*c + 3*c**4 - 6*c**2 + 2*c**3 - 11*c**3 + 1 + 3*c**3.
3*(c - 1)**2*(c + 1)**3
Let -2/3*i**5 + 2/3*i + 4/3*i**2 - 4/3*i**4 + 0*i**3 + 0 = 0. What is i?
-1, 0, 1
Let j(q) be the third derivative of -3*q**2 - 1/720*q**6 + 0 + 0*q + 0*q**3 + 0*q**4 + 0*q**5. Determine f, given that j(f) = 0.
0
Let q(n) = -9*n**3 + 2*n**2 - 7*n. Let u(f) = 3*f**3 - f**2 + 2*f. Let s(m) = -2*q(m) - 7*u(m). Factor s(d).
-3*d**2*(d - 1)
Let p(w) be the second derivative of -w**9/45360 + w**8/6720 - w**7/3780 - w**4/6 - w. Let g(y) be the third derivative of p(y). Solve g(c) = 0.
0, 1, 2
Let j be (-6 - -4)*(-66)/4. Suppose 8 = m + 4*n, -5*m + 3*n + j + 53 = 0. Find p such that -2*p**2 + m*p**4 + 10*p**3 + 4*p**2 + 6*p**5 - 2*p**4 = 0.
-1, -1/3, 0
Suppose -13*n**3 + 0*n**3 + 8*n**3 - 5*n**2 = 0. What is n?
-1, 0
Let f(h) = -6*h**5 + 21*h**4 + 12*h**3 - 21*h**2. Let z(j) = -j**5 + j**3 - j. Let s(y) = -f(y) - 6*z(y). Let s(u) = 0. What is u?
-1, -1/4, 0, 1, 2
Let q be (7/18)/((-4)/32*-2). Factor 4/9 + 10/9*d**2 + q*d.
2*(d + 1)*(5*d + 2)/9
Let p(d) be the third derivative of d**7/315