Factor 15 - 3*u**3 - u + 1/4*u**4 - 45/4*u**2.
(u - 15)*(u - 1)*(u + 2)**2/4
Let d(h) be the third derivative of -2/3*h**3 - 1/10*h**5 + 3/8*h**4 - 2*h**2 + 1/120*h**6 + 0 + 0*h. Factor d(s).
(s - 4)*(s - 1)**2
Let a(z) be the first derivative of -z**3/2 - 57*z**2/4 + 30*z + 665. Factor a(y).
-3*(y - 1)*(y + 20)/2
Suppose 18 = -4*k + 79*x - 81*x, -k = -3*x - 27. Solve -16/11*y**3 + 0*y - 2/11*y**5 + 8/11*y**2 + k + 10/11*y**4 = 0.
0, 1, 2
Let l = -9 + 9. Let n be 0/(l - (-4 - 0)). Factor n*g**2 + 1 + 0*g**2 + g**2 - 5.
(g - 2)*(g + 2)
Let d(b) = -10*b**4 - 27*b**3 + 105*b**2 - 262*b + 236. Let n(f) = -f**4 - f**3 + f**2 - 2*f + 1. Let r(v) = -2*d(v) + 22*n(v). Factor r(j).
-2*(j - 5)**2*(j - 3)**2
Let h(w) be the first derivative of -w**6/3 - 2*w**5/5 + w**4 + 67. Find b, given that h(b) = 0.
-2, 0, 1
Let j(u) = -4*u - 6. Let f be j(-9). Let 65*a**2 + 5*a**5 - 5*a**4 - 15 - f*a + 15 - 43*a**3 + 8*a**3 = 0. What is a?
-3, 0, 1, 2
Let q(o) = o**3 - 32*o**2 - 90*o - 521. Let d be q(35). Solve d*u - 4*u**3 + 4*u**2 - 12/5*u**4 - 8/5 = 0.
-2, -1, 1/3, 1
Factor -6*z**2 + 0 + 21/4*z + 3/4*z**3.
3*z*(z - 7)*(z - 1)/4
Let l = 71/214 - -1/642. Let i(w) be the first derivative of l*w**3 + 1 + 3/4*w**2 - w. Solve i(s) = 0.
-2, 1/2
Let m(w) be the third derivative of -7*w**5/150 + 8*w**4/5 + 28*w**3/15 - 4*w**2. Suppose m(b) = 0. Calculate b.
-2/7, 14
Let g = 24217/91 - 1864/7. Let b = 1/7 - g. Factor -2/13*v**2 - 2/13*v + b.
-2*(v - 1)*(v + 2)/13
Factor -4/7*f**3 - 48/7 - 76/7*f - 32/7*f**2.
-4*(f + 1)*(f + 3)*(f + 4)/7
Suppose 2 = 4*p - 3*p. Suppose -3*k + 4*k - p = 0. Determine j, given that 3*j**2 + 5*j**2 - 11*j**2 - 10*j - k*j**2 = 0.
-2, 0
Factor -9*d + 19/2 - 1/2*d**2.
-(d - 1)*(d + 19)/2
Let n(f) = -3*f**3 + 57*f**2 + 287*f - 320. Let l(s) = s**3 - 29*s**2 - 144*s + 160. Let i(g) = -7*l(g) - 4*n(g). Factor i(w).
5*(w - 8)*(w - 1)*(w + 4)
Let u(z) = z**2 - 5*z - 4. Let x(t) = -4*t - 22. Let a be x(-7). Let r be u(a). Let 3/5*n + 1/5*n**r + 0 = 0. What is n?
-3, 0
Suppose -11*k - 64*k + 304 - 304 = 0. Find f such that 8/5*f**3 - 8/5*f + k + 28/5*f**2 - 28/5*f**4 = 0.
-1, 0, 2/7, 1
Let o = -2591/8 + 660707/2040. Let y(q) be the third derivative of -o*q**6 - 1/170*q**5 + 0*q + 1/204*q**4 - 3*q**2 + 1/17*q**3 + 0. Solve y(c) = 0.
-3, -1, 1
Factor -28*i**2 - 20*i**3 - 1 + 16*i**3 - 68*i + 4*i - 56 + 9.
-4*(i + 2)**2*(i + 3)
Let h be (-2)/(-7) + 204/119. Let 676*k**3 + 61*k**5 - 532*k**h - 14 + 21*k**5 + 160*k - 352*k**4 - 18*k**5 - 2 = 0. What is k?
1/4, 1, 2
Let p(n) be the third derivative of -n**6/480 - 3*n**5/80 + n**4/24 + 3*n**3/2 - n**2 + 24. Factor p(q).
-(q - 2)*(q + 2)*(q + 9)/4
Let y(n) be the third derivative of 0*n + 1/3*n**5 + 1/30*n**6 + 2*n**3 + 3*n**2 + 7/6*n**4 + 0. Factor y(z).
4*(z + 1)**2*(z + 3)
Let j(o) be the first derivative of -84*o**5/5 + 251*o**4 - 2968*o**3/3 - 120*o**2 + 288*o + 57. Suppose j(m) = 0. What is m?
-1/3, 2/7, 6
Suppose 22*j = 17*j + 190. Factor -20*q - j + 17 + 21 + 5*q**2.
5*q*(q - 4)
Suppose -i + 4*d - 10 = 0, -23 = -6*i + 2*i - 5*d. Let w be (i/5 + 0)/(36/945). Determine l so that w*l - 27/2*l**2 + 3 = 0.
-2/9, 1
Solve -5*o**2 + 9*o**2 - 72*o**3 - 19*o**2 - 12*o**2 - 48*o**4 = 0.
-3/4, 0
Let p = -1449/10 + 145. Let g(s) be the second derivative of 0*s**2 + 6*s + 0 + p*s**6 - 1/2*s**3 + 3/20*s**5 - 1/4*s**4. Factor g(y).
3*y*(y - 1)*(y + 1)**2
Let p(z) = -1 + 9*z + 2 + 0*z + 8*z**2 - z**3 + z. Let c be p(8). Suppose 116*h + 15*h**2 - 11*h**4 - c*h - 35*h**3 + 10 - 14*h**4 = 0. Calculate h.
-1, -2/5, 1
Let a(w) be the first derivative of 529*w**6/12 + 299*w**5/2 + 393*w**4/4 - 86*w**3/3 + 2*w**2 - 6. Suppose a(k) = 0. Calculate k.
-2, -1, 0, 2/23
Let k(c) = -2*c**3 - 8*c**2 - 13*c - 6. Let q be k(-2). Suppose -8/5*z**5 + 0*z - 4/5*z**3 - 18/5*z**q + 0 + 0*z**2 = 0. Calculate z.
-2, -1/4, 0
Let i(b) be the first derivative of 0*b - 1/3*b**3 - 14 + 1/2*b**2. Find p, given that i(p) = 0.
0, 1
Let k(r) = r**5 + r**2 + r + 1. Let q(g) = 16*g**5 - 8*g**4 - 2*g**3 + 6*g**2 + 6*g + 6. Let x(w) = -6*k(w) + q(w). Determine l so that x(l) = 0.
-1/5, 0, 1
Suppose 0 = -3*z - 20 + 23, -1 = -2*u - z. Let f(j) be the first derivative of u*j - 1/5*j**5 - 1/4*j**2 + 3 + 1/12*j**6 + 1/3*j**3 + 0*j**4. Factor f(n).
n*(n - 1)**3*(n + 1)/2
Factor -1771 + 336*t + 54*t**2 + 1379 - 3*t**3 + 5*t**3.
2*(t - 1)*(t + 14)**2
Let m be (-2)/(12/21 - (-1650)/(-2520)). Let a = 53 + -21. Factor m*d**2 + 1/2 + 6*d + a*d**3.
(4*d + 1)**3/2
Let h(f) be the second derivative of f**7/112 - 7*f**6/80 + 9*f**5/32 - 5*f**4/32 - f**3 + 9*f**2/4 - 136*f. Suppose h(j) = 0. What is j?
-1, 1, 2, 3
Let w(m) be the third derivative of -m**7/2240 - m**6/192 - 3*m**5/320 + 9*m**4/64 + 11*m**3/3 + 20*m**2. Let z(i) be the first derivative of w(i). Factor z(y).
-3*(y - 1)*(y + 3)**2/8
Let m(a) be the first derivative of -a**7/210 - 2*a**6/45 - a**5/6 - a**4/3 - a**3/3 - 13. Let x(g) be the third derivative of m(g). Factor x(h).
-4*(h + 1)**2*(h + 2)
Let o(f) = -f**5 + 71*f**4 + 216*f**3 + 290*f**2 + 179*f + 39. Let b(z) = 70*z**4 + 215*z**3 + 290*z**2 + 180*z + 40. Let u(y) = 6*b(y) - 5*o(y). Factor u(q).
5*(q + 1)**4*(q + 9)
Let g(w) be the first derivative of w**9/16632 - w**7/4620 - 10*w**3/3 - 7. Let o(z) be the third derivative of g(z). Factor o(h).
2*h**3*(h - 1)*(h + 1)/11
Let p(c) be the third derivative of c**6/1980 - c**4/132 + 4*c**3/3 - 3*c**2. Let m(t) be the first derivative of p(t). Factor m(b).
2*(b - 1)*(b + 1)/11
Suppose 2*c - 58 = -8*t + 4*t, -c = 3*t - 29. Suppose -3*h + c = -4*n, -4*h - n = -0*h - 7. Suppose 5*k - k + 4*k + h*k**2 - 3*k**3 - 2*k = 0. Calculate k.
-1, 0, 2
Let b(x) be the third derivative of -x**5/570 - 37*x**4/114 - 48*x**3/19 + 142*x**2 - 3*x. Factor b(m).
-2*(m + 2)*(m + 72)/19
Solve 1108*d**2 + 1109*d**2 + 10 - 2222*d**2 + 5*d = 0 for d.
-1, 2
Let w be 16 - (15/(-5) - -1). Let g = w + -16. Find h such that -3*h**g + 9*h - 27/4 = 0.
3/2
Let s(n) be the second derivative of n**4/96 + n**3/6 - 21*n**2/4 + 577*n. Solve s(v) = 0.
-14, 6
What is h in -10674*h - 31*h**4 - 22*h**4 + 15*h**2 + 10665*h - 12*h**5 - 63*h**2 - 87*h**3 - 7*h**4 = 0?
-3, -1, -1/2, 0
Let c = -5992 + 5994. Factor -2/17*y**3 + 6/17*y**c + 0 - 4/17*y.
-2*y*(y - 2)*(y - 1)/17
Suppose 4*z - 3 - 5 = 4*c, -2*z - 5*c = -18. Suppose 6*w + z*w - 60 = 0. What is r in 15/2*r**3 + w*r + 3/2*r**4 + 12*r**2 + 0 = 0?
-2, -1, 0
Let k = 747/7 - 745/7. Factor -2/7*t - 2/7*t**4 + k*t**3 + 0 + 2/7*t**2.
-2*t*(t - 1)**2*(t + 1)/7
Let m(v) = -v**2 + 10*v + 462. Let j be m(-17). Let h(u) be the third derivative of 1/120*u**5 - u**2 + 3/4*u**j - 1/8*u**4 + 0*u + 0. Solve h(r) = 0 for r.
3
Let l(n) be the second derivative of -5*n**4/48 + 45*n**3/8 + 35*n**2/2 - 16*n - 1. Factor l(f).
-5*(f - 28)*(f + 1)/4
Let i = 1901 - 1897. Factor 0 + 4/13*h**3 + 0*h + 0*h**2 - 2/13*h**i - 2/13*h**5.
-2*h**3*(h - 1)*(h + 2)/13
Let x(k) be the third derivative of -k**7/315 + k**6/45 + k**5/18 + 2*k**2 + 32*k. Factor x(c).
-2*c**2*(c - 5)*(c + 1)/3
Let v(g) be the second derivative of -g**7/105 + 3*g**5/50 + g**4/15 + 145*g - 1. Suppose v(h) = 0. What is h?
-1, 0, 2
Let w(g) = -16*g**2 + 4 + 3*g - 2 + 21*g**2. Let u(j) = j**2 + 6*j + 4. Let h be u(-4). Let q(v) = 14*v**2 + 8*v + 5. Let z(d) = h*q(d) + 11*w(d). Factor z(a).
-(a - 2)*(a + 1)
Let v(r) be the second derivative of 7*r**5/4 - 605*r**4/12 + 610*r**3/3 - 150*r**2 + 2*r + 307. Determine h so that v(h) = 0.
2/7, 2, 15
Let p be 30/9 - (-6)/(-18). Let n(z) be the second derivative of 0 + 1/9*z**2 + 11*z + 2/27*z**p + 1/54*z**4. Solve n(y) = 0 for y.
-1
Let p(r) be the first derivative of 0*r + r**2 + 6*r**3 + 109/8*r**4 + 63/5*r**5 - 6 + 49/12*r**6. Factor p(c).
c*(c + 1)**2*(7*c + 2)**2/2
Let d(t) = -t**3 - 49*t**2 - 50*t - 96. Let o be d(-48). Factor -2/19*r**2 + 2/19 + o*r.
-2*(r - 1)*(r + 1)/19
Let k(c) be the second derivative of -c**7/231 - c**6/165 + 3*c**5/110 + c**4/66 - 2*c**3/33 - 60*c + 1. Find m, given that k(m) = 0.
-2, -1, 0, 1
Let g = 13 + -11. Suppose -6 = -g*i - 0. Let -3*y + 0 + 0 - i*y**2 + 0*y**2 = 0. Calculate y.
-1, 0
Let b(q) be the first derivative of q**6/480 - 3*q**5/160 + q**4/16 - 8*q**3 + 8. Let j(m) be the third derivative of b(m). Factor j(w).
3*(w - 2)*(w - 1)/4
Let n = -4671 + 4673. Factor -55/3*v + 5*v