p**3 + 16*p**2 - 30*p + 20. Let s(n) = 3*b(n) + 2*j(n). Factor s(y).
4*(y - 1)**2*(y + 4)
Let z = 30/7 - 39/14. Let -7/2*q - z - q**2 = 0. Calculate q.
-3, -1/2
Let x(v) = -v**2 + 212*v - 202. Let t(k) = -2*k**2 + 208*k - 200. Let y(n) = 3*t(n) - 2*x(n). What is f in y(f) = 0?
1, 49
Let a(h) be the third derivative of -h**8/1008 + h**6/45 - 2*h**4/9 + 4*h**2 + 13*h. Factor a(q).
-q*(q - 2)**2*(q + 2)**2/3
Let i be 1*((-22)/(-6) - 3) - 16/42. Determine c so that 0 - i*c**5 + 0*c - 2/7*c**3 + 0*c**2 - 4/7*c**4 = 0.
-1, 0
Suppose 3*y - 2*h - 4 = 7, -4*h - 12 = -4*y. Let j(d) be the second derivative of 1/54*d**4 - y*d + 0 + 4/9*d**2 - 4/27*d**3. Factor j(v).
2*(v - 2)**2/9
Let w(x) be the second derivative of x**4/30 + 2*x**3/15 + 24*x. Find k, given that w(k) = 0.
-2, 0
Let v(o) = 5*o**4 - 7*o**3 - 34*o**2 - 34*o - 19. Let n(k) = -2*k**4 + 4*k**3 + 17*k**2 + 17*k + 9. Let p(l) = 7*n(l) + 3*v(l). Factor p(j).
(j + 1)**2*(j + 2)*(j + 3)
Let o(q) be the first derivative of q**4/24 - 2*q**3/9 + q**2/3 + 69. Factor o(d).
d*(d - 2)**2/6
Let f(z) = -z**2 - 3*z + 3. Let x be f(-5). Let h = x + 10. Factor -2*b**h - 3*b**3 + 9*b**3.
4*b**3
Let l(v) = 34*v - 500. Let x be l(15). Suppose -8/3 + x*n**2 + 16/3*n - 10/3*n**3 - 2*n**5 - 22/3*n**4 = 0. Calculate n.
-2, -1, 1/3, 1
Let f(c) be the second derivative of 1/14*c**3 - 1/84*c**4 + 19*c - 3/140*c**5 + 0*c**2 + 1/210*c**6 + 0. Suppose f(w) = 0. What is w?
-1, 0, 1, 3
Let t be 5/3 + 9 + -10. Let r(o) be the second derivative of 0*o**2 + o + t*o**4 - 1/6*o**3 - 4/5*o**5 + 0. Factor r(h).
-h*(4*h - 1)**2
Let m(x) be the third derivative of x**7/420 + x**6/180 + 17*x**3/6 + 11*x**2. Let j(q) be the first derivative of m(q). Factor j(h).
2*h**2*(h + 1)
Let w be (3/(-1))/(-1) + -3. Let i be 14/14*(w + 4). Find g, given that g**5 + g**5 - 3*g**5 + i*g**4 + 5*g**5 = 0.
-1, 0
Let a = -31 - -36. Factor -3*z + 4 + z**3 + 6*z - a - 3*z**2.
(z - 1)**3
Let s(a) = 41*a + 2. Let j be s(0). Determine q so that 18/13*q**4 - 22/13*q**j - 4/13 - 22/13*q + 30/13*q**3 = 0.
-2, -1/3, 1
Let k be (-3)/45*(-17 + 14). Suppose 2/5*y + k*y**2 + 1/5 = 0. What is y?
-1
Suppose 0 = -4*z - z + m + 21, 3*m = -2*z + 5. Find n such that -4/5*n**3 + 0*n - 2/5*n**5 + 0*n**2 + 0 - 6/5*n**z = 0.
-2, -1, 0
Let x(q) be the second derivative of q**9/3024 - q**7/168 - q**6/72 - q**4/12 - 7*q. Let f(d) be the third derivative of x(d). Solve f(l) = 0.
-1, 0, 2
Let 152/3*g - 20/3 - 17/3*g**3 + 155/3*g**2 = 0. What is g?
-1, 2/17, 10
Let z(u) be the third derivative of -5*u**8/672 - u**7/14 + u**6/3 - 103*u**2 - 1. Factor z(g).
-5*g**3*(g - 2)*(g + 8)/2
Let n(z) be the first derivative of 0*z + 3*z**2 + 28 + 3*z**3 + 3/4*z**4. Find a such that n(a) = 0.
-2, -1, 0
Suppose 1 + 11 = 3*o. Suppose 0 = -o*i - 2*n + 18, -2*i = -4*i + 3*n + 21. Factor 180*t**3 - 192*t**3 - i*t + 3*t**4 + 15*t**2 + 1 - 1.
3*t*(t - 2)*(t - 1)**2
Suppose -6/7*q**3 + 24/7*q + 1/7*q**4 + 1/7*q**2 - 20/7 = 0. Calculate q.
-2, 1, 2, 5
Suppose -2*o + 64 = -16. Factor -o*v - 27 - 8*v**2 + 13*v**2 + 107.
5*(v - 4)**2
Let k = -42662/5 + 8533. Determine h, given that -k*h**2 - 3/5*h + 3/5 + 3/5*h**3 = 0.
-1, 1
Let z(r) be the second derivative of -r**6/1140 - r**5/570 + r**2/2 + 11*r. Let f(j) be the first derivative of z(j). Factor f(s).
-2*s**2*(s + 1)/19
Let i(q) be the third derivative of q**7/490 - q**6/4 + 35*q**5/4 - 303*q**2. Find a such that i(a) = 0.
0, 35
Let t(y) be the first derivative of 2*y**3/21 - 12*y**2/7 - 26*y/7 + 32. Let t(u) = 0. What is u?
-1, 13
Let g = 279 + -275. Factor -g*l**2 - 4/3*l**4 - 4/3*l - 4*l**3 + 0.
-4*l*(l + 1)**3/3
Suppose 18*k + 4 = 14*k + 4*f, 2*f = 2. Factor 0 + 2/5*v**3 + 0*v**2 - 1/5*v**5 - 1/5*v + k*v**4.
-v*(v - 1)**2*(v + 1)**2/5
Let h(b) be the first derivative of -b**8/420 + 2*b**6/45 - 26*b**3/3 - 29. Let f(d) be the third derivative of h(d). Suppose f(i) = 0. Calculate i.
-2, 0, 2
Suppose 9/5 - 27/5*n**2 - 12/5*n**3 + 6*n = 0. What is n?
-3, -1/4, 1
Let d = 1455 - 1446. Let q(t) be the third derivative of -1/160*t**5 + 0 + 0*t - 3/64*t**4 + d*t**2 + 1/4*t**3. Factor q(l).
-3*(l - 1)*(l + 4)/8
Let j(o) = o**2 + 4*o + 6. Let i be j(-3). Suppose 8*w = i*w. Determine f, given that -2/3*f**2 + w - 1/3*f = 0.
-1/2, 0
Factor -234*k**2 - 336 + 3/2*k**4 + 492*k + 33*k**3.
3*(k - 2)**3*(k + 28)/2
Suppose -t - 3*t - 140 = 0. Let v = -11 - t. Factor -45/4*y**2 + v*y - 9 - 27/4*y**3.
-3*(y + 3)*(3*y - 2)**2/4
Factor 0 - 1/2*d**3 + 2*d - 3/2*d**2.
-d*(d - 1)*(d + 4)/2
Let a(c) be the third derivative of -c**8/120960 + c**7/4320 + c**6/540 - 3*c**5/20 + 33*c**2. Let x(v) be the third derivative of a(v). Factor x(j).
-(j - 8)*(j + 1)/6
Suppose -2*a + 17*f = 21*f - 36, -3*f - 71 = -2*a. Suppose 3*w = -r + 11, -2*r - 2*r + 8 = 0. Factor -3*k**3 + w*k**3 + a*k**5 - 30*k**5 + 2*k**3.
-2*k**3*(k - 1)*(k + 1)
Let w = 6367/10545 + -8/2109. Factor -j**3 - w*j**4 - 1/5*j**2 + 1/5*j + 0.
-j*(j + 1)**2*(3*j - 1)/5
Let t(r) be the second derivative of -r**4/24 - 19*r**3/12 - 17*r**2/2 + r + 9. Factor t(w).
-(w + 2)*(w + 17)/2
Let s be 8/1 + -3*(-24)/(-9). Factor s - 1/5*i**2 + 3/5*i.
-i*(i - 3)/5
Let r = 2721 + -2719. Let 0 + 12/5*g**r + 4/5*g**3 + 8/5*g = 0. What is g?
-2, -1, 0
Let q(c) be the second derivative of 1/54*c**4 - 11*c - 1/90*c**5 - 1/135*c**6 + 0*c**2 + 0*c**3 + 0 + 1/189*c**7. Factor q(h).
2*h**2*(h - 1)**2*(h + 1)/9
Suppose -6/7*f**3 + 0 + 10*f**2 - 44/7*f = 0. What is f?
0, 2/3, 11
Find m, given that 1/7*m**2 + 16/7*m - 36/7 = 0.
-18, 2
Let j = -18311 - -36625/2. Determine y, given that j*y**4 + 6*y**3 - 6*y**2 - 3/2*y**5 + 0*y + 0 = 0.
-2, 0, 1, 2
Let w(l) be the first derivative of -3*l**4/16 + 7*l**3/4 + 105*l**2/4 + 78*l - 489. What is a in w(a) = 0?
-4, -2, 13
Let p(g) be the third derivative of g**8/168 - g**7/21 + 7*g**6/60 - g**5/10 + 22*g**2 + 5. Factor p(q).
2*q**2*(q - 3)*(q - 1)**2
Let v = 988/7 - 1927/14. Factor 9/2*i**3 + 1/2*i**5 - 5/2*i**4 - v*i**2 + 0 + i.
i*(i - 2)*(i - 1)**3/2
Let q = 74/43 - 19/86. Suppose -q + 1/2*s**2 + s = 0. What is s?
-3, 1
Let j(k) = -k**2 - k - 1. Let a(h) = 8*h**2 + 66*h - 382. Let u(i) = -2*a(i) - 20*j(i). Factor u(f).
4*(f - 14)**2
Let s(d) be the first derivative of -2*d**5/35 + d**4/2 - 10*d**3/7 + 13*d**2/7 - 8*d/7 - 56. Let s(r) = 0. What is r?
1, 4
Suppose 0 = 13*n - 16*n + 12. Let g(s) be the first derivative of 4 - 1/4*s + 1/6*s**3 + 0*s**n - 1/20*s**5 + 0*s**2. Solve g(l) = 0 for l.
-1, 1
Let g = -48 - -70. Suppose -4*n = -3*y + g, -4*y + 1 + 3 = n. Determine u, given that 1/5*u + 0 + 1/5*u**5 - 2/5*u**3 + 0*u**4 + 0*u**y = 0.
-1, 0, 1
Let f(p) be the second derivative of 5*p**4/12 + 35*p**3/6 - 45*p**2 + 34*p + 3. Factor f(n).
5*(n - 2)*(n + 9)
Factor 1724 - 4*a**5 - 4653 + 7650*a**2 - 882*a**2 + 1728*a + 144*a**4 - 1724*a**3 - 3983.
-4*(a - 12)**3*(a - 1)*(a + 1)
Let b = 14 + -12. Factor -7*l**b - l**3 - 3*l + 9*l**2 + 1 + l**2.
-(l - 1)**3
Let t = 64 + -61. Let c(p) be the first derivative of -1/9*p**6 - 2/15*p**5 + 0*p**2 + 2/9*p**t + 1/6*p**4 + 5 + 0*p. Determine q, given that c(q) = 0.
-1, 0, 1
Suppose -47 = u - 5*p + 128, -2*u - 328 = p. Let w be (2 - 7)*36/u. Factor -w*r - 2/11*r**2 - 18/11.
-2*(r + 3)**2/11
Suppose 0*j - 2*c = -2*j + 26, -5*c = -4*j + 53. Determine u so that u**2 + 25 + 20 - 9 + j*u = 0.
-6
Let s(a) = -9*a**3 + 36*a**2 - 100*a + 80. Let u(w) = 8*w**3 - 37*w**2 + 100*w - 80. Let l(p) = 3*s(p) + 4*u(p). Factor l(h).
5*(h - 4)*(h - 2)**2
Factor 0 + 1/2*j**3 - 3*j**2 + 0*j.
j**2*(j - 6)/2
Factor -145*i**2 + 240*i + 242*i**3 - 320*i - 9*i**2 - 8.
2*(i - 1)*(11*i + 2)**2
Let y(x) be the second derivative of 2645*x**5/18 - 13685*x**4/54 + 464*x**3/27 - 4*x**2/9 + x + 3. Solve y(w) = 0.
2/115, 1
Let k = 416868/35 - 11914. Let v = -23/7 - k. What is b in 0 + 1/5*b - v*b**3 + 0*b**2 = 0?
-1, 0, 1
Let n = -128 - -257/2. Let i(a) be the first derivative of 3/8*a**2 + 3/16*a**4 + n*a**3 - 2 + 0*a. Find c, given that i(c) = 0.
-1, 0
Suppose -4 + 39 = 7*o. Suppose -4*z + z**4 + z**4 - 784*z**2 + 782*z**2 - 2*z**o + 6*z**3 = 0. Calculate z.
-1, 0, 1, 2
Let m(s) = 11*s**2 - 4*s + 20. Let g be m(5). Let b = 277 - g. Factor -13/4*j - 11/2*j**b - 9/2*j**3 - 7/4*j**4 - 1/4*j**5 - 3/4.
-(j + 1)**4*(j + 3)/4
Let q(g) = -31*g**2 - 4*g. Let v(f) = 489*f**2 + 63*f. Let t(w) = 33*q(w) + 2*v