8)/(5/(-10)). Factor 3/4*j**4 + 0 - m*j**2 + 0*j + a*j**3.
j**2*(j + 1)*(3*j - 2)/4
Let l be (2 + -1 - (-55)/(-22))*-2. Suppose -32/5*h**l - 8*h - 8/5 - 58/5*h**2 - 6/5*h**4 = 0. What is h?
-2, -1, -1/3
Let a(s) be the first derivative of -s**6/660 - s**5/330 + s**2 + 1. Let o(y) be the second derivative of a(y). Find p, given that o(p) = 0.
-1, 0
Let m(d) be the first derivative of d**5/20 - d**3/2 + d**2 - 3*d/4 - 5. Factor m(g).
(g - 1)**3*(g + 3)/4
Let s(v) be the third derivative of -v**6/960 + v**5/60 - v**4/12 - 17*v**2. Factor s(d).
-d*(d - 4)**2/8
Let x(j) be the first derivative of j**7/735 - j**5/105 + j**3/21 - j**2 - 2. Let l(n) be the second derivative of x(n). Factor l(c).
2*(c - 1)**2*(c + 1)**2/7
Let b(u) = u**2 + 6*u - 6. Let m be b(-7). Let o(p) = 2*p**3 + 14*p**2 + 10*p + 10. Let l(a) = -a**2 - 1. Let d(s) = m*o(s) + 6*l(s). Let d(g) = 0. What is g?
-2, -1
Let -469*n**2 - 36*n + 466*n**2 - 73 - 35 = 0. Calculate n.
-6
Let q(c) be the first derivative of -c**5/10 - c**4/8 + c**3/2 + c**2/4 - c + 10. Suppose q(m) = 0. Calculate m.
-2, -1, 1
Let y(w) be the first derivative of 0*w - 1/3*w**3 - 5/8*w**4 + 0*w**2 + 3 - 2/5*w**5 - 1/12*w**6. Factor y(x).
-x**2*(x + 1)**2*(x + 2)/2
Let d(h) = -2*h**3 - 31*h**2 - 16*h - 13. Let z be d(-15). Let g = -1 - -1. Factor 0 - 8/7*y**4 - 4/7*y**z + g*y - 2/7*y**5 - 10/7*y**3.
-2*y**2*(y + 1)**2*(y + 2)/7
Let k = -2 - -2. Suppose -s + 0 + 2 = k. Factor -2/5 + 2/5*x**s + 0*x.
2*(x - 1)*(x + 1)/5
Let s(c) = c**3 + 5*c**2 + 4*c + 5. Let x be s(-4). Determine u, given that u**x + 0 + 2/3*u**4 + 1/3*u - 2/3*u**2 - 4/3*u**3 = 0.
-1, 0, 1/3, 1
Let h(l) = 16*l**3 - 49*l**2 + 40*l - 7. Let c(v) = -120*v - 30*v**3 + 20 - 25*v**2 - 18*v**3 + 21*v**2 + 152*v**2. Let f(b) = 5*c(b) + 16*h(b). Factor f(u).
4*(u - 1)**2*(4*u - 3)
Let s(y) be the second derivative of -y**4/16 + 11*y**3/4 - 363*y**2/8 + 40*y. Factor s(w).
-3*(w - 11)**2/4
Let t(w) = 10*w**2 - 16*w. Suppose 4*v = 19 - 51. Let x(u) = u**2 - u - 1. Let i(b) = v*x(b) + t(b). Let i(y) = 0. Calculate y.
2
Let n(w) be the third derivative of 0*w**4 + 0*w + 0*w**3 + 1/1344*w**8 + 1/280*w**7 + 1/160*w**6 + 1/240*w**5 + 0 - 2*w**2. Factor n(f).
f**2*(f + 1)**3/4
Suppose 14 = 3*s + 2*d, 17 = -0*s + 3*s + 5*d. Factor -2/7*f**s + 2/7*f**3 + 0*f + 0*f**2 + 0.
-2*f**3*(f - 1)/7
Let r be (21/(-9) - -2)*0. Let s(d) be the third derivative of -1/48*d**4 + 1/240*d**6 + 1/12*d**3 + 0*d - 1/120*d**5 + r - d**2. Factor s(g).
(g - 1)**2*(g + 1)/2
Factor 2/5*z**2 - 12/5*z + 18/5.
2*(z - 3)**2/5
Let d(j) be the first derivative of -j**4/20 - j**3/15 + j**2/10 + j/5 + 7. Find m, given that d(m) = 0.
-1, 1
Factor -1/4 + 1/4*a**4 + 1/2*a**3 - 1/2*a + 0*a**2.
(a - 1)*(a + 1)**3/4
Let p = -9 - -9. Suppose p = 5*j - 3 - 27. Let t(h) = -6*h**2 - 9*h - 6. Let q(r) = 5*r**2 + 8*r + 5. Let i(z) = j*t(z) + 7*q(z). Determine b so that i(b) = 0.
1
Suppose 2*y - 5*y - 15 = 0. Let r = y - -8. Factor 0*x + 0 + 4/11*x**r - 2/11*x**4 - 2/11*x**2.
-2*x**2*(x - 1)**2/11
Determine h, given that 0*h + h**3 + 2/5*h**2 + 0 + 3/5*h**4 = 0.
-1, -2/3, 0
Determine f so that -25*f**3 + 90*f**2 + 70*f**3 - 10 + 138*f - 143*f = 0.
-2, -1/3, 1/3
Suppose 3*q - 7*q + 6 = -k, k = -3*q + 8. Solve 163*h**q + h**4 - h**5 - 163*h**2 = 0.
0, 1
Let h(a) = -a**2 + 4*a + 10. Let k be h(6). Let v be k/6 + (-187)/(-102). Suppose 0 + 1/2*j**4 + v*j**2 - 1/2*j - 3/2*j**3 = 0. Calculate j.
0, 1
Let j(m) = -8*m**2 + 46*m + 2. Let a(f) = f**2 - 5*f. Let y(l) = -52*a(l) - 6*j(l). Factor y(u).
-4*(u + 1)*(u + 3)
Let q be ((-78)/18 - -4)*45/(-6). Let q*x**2 + 0 + x + 3/2*x**3 = 0. What is x?
-1, -2/3, 0
Let k(i) be the second derivative of 0*i**2 + 0 + 2/39*i**4 + 12/65*i**5 + 0*i**3 + 7/65*i**6 - 7/39*i**7 - 4*i. Solve k(b) = 0 for b.
-2/7, 0, 1
Find m, given that m**2 + 1 + 1 + 2 + 12*m - 5*m**3 + 2*m**2 = 0.
-1, -2/5, 2
Let k(l) be the third derivative of 11*l**5/140 - 5*l**4/14 - 2*l**3/7 - 6*l**2. Find q such that k(q) = 0.
-2/11, 2
Let t = 160 + -155. Let l(p) be the first derivative of 1/6*p**2 - 1/12*p**4 + 0*p - 3 - 1/9*p**3 + 1/15*p**t. Suppose l(z) = 0. What is z?
-1, 0, 1
Let n(i) = 7*i**3 - 161*i**2 - 559*i + 721. Let g(y) = 3*y**3 - 54*y**2 - 186*y + 240. Let x(o) = 8*g(o) - 3*n(o). Factor x(u).
3*(u - 1)*(u + 9)**2
Let j(z) be the first derivative of -z**4/4 + 5*z**3/3 - 7*z**2/2 + 3*z - 8. Factor j(b).
-(b - 3)*(b - 1)**2
Suppose -5 = -3*v - 2*q, -3*v - 5*q = -6*v + 19. Find w such that -2 + v*w**5 - 5*w + 4*w**3 + 14*w**4 - 4*w**4 + 6*w**3 = 0.
-1, 2/3
Suppose 3 + 2 = 5*y. Let m be 5/((y - 0) + 0). Solve w**5 - w**4 + 2*w**2 - 1 + w**5 + 2*w**3 - w**m - 4*w**3 + w = 0 for w.
-1, 1
Determine m, given that -16/3*m**4 + 4/3*m - 28/3*m**3 - 8/3*m**2 + 0 = 0.
-1, 0, 1/4
Suppose -5*n - 30 = -y, 2*y + 3*y + 2*n = 42. Suppose 4*x = -2 + y. Factor 0 - 2/5*i**3 - x*i**5 + 0*i + 4/5*i**2 - 16/5*i**4.
-2*i**2*(i + 1)**2*(5*i - 2)/5
Suppose -2/3*j - 2/3*j**5 - 8/3*j**4 + 0 - 4*j**3 - 8/3*j**2 = 0. Calculate j.
-1, 0
Let x(q) be the first derivative of q**7/945 - q**6/270 + q**5/270 - 3*q**2/2 - 2. Let u(r) be the second derivative of x(r). Factor u(f).
2*f**2*(f - 1)**2/9
Let v = -41/112 - -7/16. Let p(y) be the first derivative of -v*y**4 + 1/7*y**2 + 0*y + 0*y**3 - 1. Factor p(j).
-2*j*(j - 1)*(j + 1)/7
Let l = 48 + -79. Let r = -123/4 - l. Suppose -1/2*v**2 + 1/4*v**4 + 0*v**3 + 0*v + r = 0. Calculate v.
-1, 1
Let o be ((-1)/2)/((-1)/4). Suppose 0 = o*d - 22 - 18. Let -8*t - 7*t**3 + d*t**2 + t**2 - 13*t + 6 + t**3 = 0. Calculate t.
1/2, 1, 2
Suppose 12*y + 9*y + 3*y**2 - 9 - 15*y = 0. Calculate y.
-3, 1
Let i be (6*(2 + -3))/(-2). Find g, given that -1/5*g**i - 6/5*g**2 - 8/5 - 12/5*g = 0.
-2
Let j(c) = -9*c**2 - 6*c - 3. Let k(p) = -p**2 - 2*p. Let w(b) = j(b) - 6*k(b). Factor w(t).
-3*(t - 1)**2
Let d(o) be the third derivative of -1/12*o**4 + 0*o - 7/45*o**5 + 2/9*o**3 - 1/45*o**6 + 1/72*o**8 + 0 + 4/105*o**7 - 5*o**2. Suppose d(g) = 0. Calculate g.
-1, 2/7, 1
Let q(z) = 5*z**2 - 10*z + 9. Let d(r) = r**2 - 1. Let v(b) = -3*d(b) + q(b). Suppose v(k) = 0. What is k?
2, 3
Let s(b) = b**3 + 6*b**2 - b - 4. Let l be s(-6). Solve -7 + 5 - 2*t**l + 0 + 4*t = 0 for t.
1
Suppose -289 = -3*n - v, 0*n + n + v - 99 = 0. Factor -95 + 0*l**3 - l**3 - 4*l + 4*l**2 + n.
-l*(l - 2)**2
Let i(d) be the third derivative of -d**8/336 - d**4/24 + 2*d**2. Let o(f) = -3*f**5 - f**3 - 4*f. Let r(a) = 4*i(a) - o(a). Factor r(v).
-v**3*(v - 1)*(v + 1)
Let s(y) be the second derivative of y**4/48 + y**3/6 + y**2/2 - 16*y. Factor s(u).
(u + 2)**2/4
Let o(n) = -n + 16. Let j be o(14). Factor 3*a**2 + 3*a**j - 2*a - 3*a**2 - a.
3*a*(a - 1)
Let w = 8 + -5. Let -w*x**3 + 3*x + 0*x**2 + 4*x**2 - 6 + 2*x**2 = 0. What is x?
-1, 1, 2
Suppose 4*i + 49 - 1 = 0. Let d(l) = l**5 - l - 1. Let n(f) = -14*f**5 - 6*f**4 - 6*f**3 - 2*f**2 + 12*f + 12. Let v(c) = i*d(c) - n(c). Factor v(h).
2*h**2*(h + 1)**3
Let k(l) = -l**3 + 5*l**2 - 2*l - 8. Let u be k(4). Let p(n) be the second derivative of u + 0*n**2 - 1/12*n**3 - n + 7/48*n**4. Solve p(a) = 0.
0, 2/7
Let i = 105 + -944/9. Let x = 7/18 + i. Solve 5/2*n + 5/2*n**4 + 5*n**2 + x*n**5 + 5*n**3 + 1/2 = 0.
-1
Factor 4*s - s**2 - 3*s**2 + 6*s**2.
2*s*(s + 2)
Let u(p) be the second derivative of 0*p**4 + 0*p**2 - 3/20*p**5 + 1/14*p**7 + 0*p**3 + 0 + 0*p**6 - 3*p. Factor u(y).
3*y**3*(y - 1)*(y + 1)
Let f(i) be the first derivative of -2*i**3/3 - 4*i**2 - 6*i + 9. Let f(p) = 0. Calculate p.
-3, -1
Let g(w) be the first derivative of -w**6/360 - w**3/3 - 1. Let d(q) be the third derivative of g(q). Let d(n) = 0. Calculate n.
0
Let n(t) be the second derivative of -t**6/60 + 3*t**5/40 - t**3/3 + 14*t. Determine q, given that n(q) = 0.
-1, 0, 2
Let 0 + 0*c - 2/9*c**4 + 0*c**2 + 2/9*c**5 - 4/9*c**3 = 0. What is c?
-1, 0, 2
Factor -66 + 2 - 4*f**2 + 51*f - 19*f.
-4*(f - 4)**2
Factor -85*m**3 - 15*m - 58*m**2 + 380 - 17*m**2 - 375 - 30*m**4.
-5*(m + 1)**3*(6*m - 1)
Let y(x) be the third derivative of x**8/28 + 16*x**7/105 + x**6/30 - 8*x**5/15 - 2*x**4/3 + 13*x**2. Solve y(k) = 0.
-2, -1, -2/3, 0, 1
Let l be (-9)/((-3)/(2 - -1)). Suppose l - 6 = h. Factor -2/7*s**5 + 0 + 0*s**h + 0*s + 0*s**4 + 0*s**2.
-2*s**5/7
Let v(d) be the second derivative of d**4/36 - d**3/6 - 2*d**2/3 - 16*d. Factor v(z).
(z - 4)*(z