ctor f(x).
-2*(x - 13)*(x - 2)/11
Let u(c) be the first derivative of -1/300*c**5 + 1/15*c**3 - 1/120*c**4 + 0*c + 11/2*c**2 - 10. Let q(t) be the second derivative of u(t). Factor q(k).
-(k - 1)*(k + 2)/5
Let h(p) = 4*p - 21*p**2 - 13*p**2 + 36*p**2 - p. Let j be h(-2). Factor -1/4*w**j - 1/4 + 1/2*w.
-(w - 1)**2/4
Let i = 18023 + -18021. Let t(h) be the third derivative of 1/24*h**4 + 0*h + 1/5*h**3 + 0 - 39*h**i + 1/300*h**5. Factor t(c).
(c + 2)*(c + 3)/5
Let 19/3*z - 28 + 1/6*z**2 = 0. Calculate z.
-42, 4
Let q(l) be the first derivative of -3*l**4 - 385*l**3 - 13968*l**2 - 6912*l - 5780. Factor q(g).
-3*(g + 48)**2*(4*g + 1)
Let f(k) be the first derivative of 5*k**4/6 - 24104*k**3/9 + 7264945*k**2/3 - 5808100*k/3 + 8862. Factor f(g).
2*(g - 1205)**2*(5*g - 2)/3
Let q(i) be the first derivative of 10/3*i - 1/15*i**5 + 5/12*i**4 - 59 - 17/6*i**2 + 1/3*i**3. Factor q(l).
-(l - 5)*(l - 1)**2*(l + 2)/3
Suppose 0 = 3*x - 3*l, x + 2*l - 2 = 2*x. Suppose 2*u - 5 = -3*y - x*u, 5*y = -4*u + 19. Factor -b**2 + 8*b**4 + b**5 - 8*b + 0*b**4 - 3*b**4 - 4 + y*b**3.
(b - 1)*(b + 1)**2*(b + 2)**2
Let l(f) be the third derivative of 0*f**3 + 2*f**2 + 0*f**4 + 3/100*f**6 + 1/75*f**5 + 1/75*f**7 + 23 + 0*f. Factor l(n).
2*n**2*(n + 1)*(7*n + 2)/5
Let b(l) be the first derivative of -2*l**3/15 + 268*l**2/5 + 216*l - 1974. Let b(o) = 0. What is o?
-2, 270
Let q(h) be the first derivative of -h**4 + 9*h**3 - 147 + 0*h**4 + 26*h**2 + 7*h**3 + 1. Find y, given that q(y) = 0.
-1, 0, 13
Factor -45*d**2 + 7*d + 32686 + 5*d**3 + 63*d - 32686.
5*d*(d - 7)*(d - 2)
Let o be 194/(-485)*(-1150)/4. Let s = -115 + o. Factor -1/8*w**3 - 1/4*w**2 + 1/4*w**4 + 1/8*w**5 + 0 + s*w.
w**2*(w - 1)*(w + 1)*(w + 2)/8
Let x(r) be the second derivative of 3*r**5/4 - 815*r**4/12 - 185*r**3/2 + 275*r**2/2 + 4*r + 25. Factor x(t).
5*(t - 55)*(t + 1)*(3*t - 1)
Let l be 5/2*2 - (-11 + (-7682)/(-483)). Let z(x) be the second derivative of l*x**3 + 2*x - 3/14*x**2 + 0 - 1/84*x**4. What is p in z(p) = 0?
1, 3
Find c, given that 3/7*c**4 - 12/7 + 15/7*c + 9/7*c**2 - 15/7*c**3 = 0.
-1, 1, 4
Let y(b) = -152*b**3 + 6162*b**2 - 42*b + 168. Let d(q) = -18*q**3 + 725*q**2 - 5*q + 20. Let x(h) = -42*d(h) + 5*y(h). Determine j so that x(j) = 0.
0, 90
Let l(r) = 5*r**4 - 104*r**3 + 169*r**2 - 138*r. Let j(z) = -z**4 + 20*z**3 - 34*z**2 + 28*z. Let n(m) = 33*j(m) + 6*l(m). Factor n(k).
-3*k*(k - 8)*(k - 2)**2
Suppose -2*j - 5*u + 49 = 0, -4*u = -125*j + 122*j - 30. Factor -1/4*i**3 + 1/4*i - j + 2*i**2.
-(i - 8)*(i - 1)*(i + 1)/4
Let i(f) be the third derivative of f**6/24 + 93*f**5/2 - 2795*f**4/24 - 3*f**2 - 110*f. Factor i(s).
5*s*(s - 1)*(s + 559)
Let n = -409 - -413. Let c be n/(-9) - 462/(-189). Let -5*r**3 - 5*r**c - 5/2*r - 5/2*r**4 - 1/2*r**5 - 1/2 = 0. Calculate r.
-1
Let v(o) = 2*o**3 - 39*o**2 + 14*o - 2. Let h be v(19). Let c = 99 + h. Factor -12*y**2 + 3*y**4 + 24*y**c + y**3 + 11*y**3.
3*y**2*(y + 2)**2
Let k(u) be the third derivative of u**6/840 - u**5/12 - 59*u**4/84 + 76*u**3/21 - 938*u**2. Suppose k(w) = 0. What is w?
-4, 1, 38
Suppose -35*y + 684 + 1136 = 0. Let s be ((-6)/(-4))/(y/(-8) - -7). Factor 9/2*l**2 - 3/2*l**4 + s*l + 0 + 0*l**3.
-3*l*(l - 2)*(l + 1)**2/2
Suppose 36/5*f**2 - 2/5*f**4 + 0 - 6/5*f**3 + 0*f = 0. What is f?
-6, 0, 3
Let i(t) be the third derivative of -t**7/1680 + t**5/80 + t**4/24 + 19*t**3/3 + 74*t**2. Let r(s) be the first derivative of i(s). Factor r(v).
-(v - 2)*(v + 1)**2/2
Find c, given that 35 + 280*c + 3*c**2 + 168*c + 327 + 64 - 19*c = 0.
-142, -1
Suppose -550*y + 2996 = 948*y. Let q be 2/(-1)*(-2)/5. Suppose 0 + q*o - 2/5*o**y = 0. What is o?
0, 2
Let 2/3*a**3 + 94/3*a**2 + 0 + 92/3*a = 0. Calculate a.
-46, -1, 0
Let g(r) be the second derivative of r**6/15 + 3*r**5/5 - 4*r**4 + 26*r**3/3 - 9*r**2 - 2579*r. Find l, given that g(l) = 0.
-9, 1
Suppose 0 = -3*u - g + 10, 4*u + 20 = -2*g + 32. Suppose 0 = l - 2, 6*d - d - u*l - 2 = 0. Factor 4/7*w + 4/7*w**5 + 16/7*w**4 + 24/7*w**3 + 0 + 16/7*w**d.
4*w*(w + 1)**4/7
Factor -37752 + 2/3*g**3 + 1760*g + 238/3*g**2.
2*(g - 13)*(g + 66)**2/3
Let p(r) = -r**2 + 34*r - 30. Let b be p(33). Suppose -b*o - 70 = -2*l - 60, -3*o - 5*l = -25. Solve -1/3*g**4 + 5/3*g**2 + o*g**3 + 0*g - 4/3 = 0 for g.
-2, -1, 1, 2
Solve 21*b**3 + 16807*b + 1/7*b**4 + 1029*b**2 + 0 = 0.
-49, 0
Suppose -2*f + 24*u = -268, 4*f - u = -100 + 307. Let x(d) be the third derivative of 0 - f*d**2 + 0*d + 0*d**3 + 1/12*d**4 - 1/60*d**5. Solve x(v) = 0.
0, 2
Let i(b) be the first derivative of -49*b**6/3 - 1162*b**5/5 - 1745*b**4/2 - 3950*b**3/3 - 906*b**2 - 288*b - 2404. Determine n, given that i(n) = 0.
-8, -2, -1, -3/7
Let q(p) be the first derivative of -p**6/360 - p**5/80 - p**4/144 + p**3/24 + p**2/12 - 74*p + 73. Let f(m) be the first derivative of q(m). Factor f(i).
-(i - 1)*(i + 1)**2*(i + 2)/12
Let k = 587335/27 - 21753. Let j(f) be the first derivative of 14/9*f**2 + 24 + k*f**3 - 32/9*f. Let j(w) = 0. Calculate w.
-8, 1
Suppose 4 = -12*f + 40. Solve 3*t**3 - 6*t**f + 94*t**4 + 96*t**4 - 189*t**4 = 0.
0, 3
Let d = -225/328 + 133/164. Suppose 1/8*r - 1/4 + d*r**2 = 0. Calculate r.
-2, 1
Let p(v) be the third derivative of v**7/4410 - v**6/126 - 5*v**4/24 + v**2 - 4. Let c(f) be the second derivative of p(f). Factor c(n).
4*n*(n - 10)/7
Factor 1/3*w**4 + 0 + 0*w - 50/3*w**3 + 625/3*w**2.
w**2*(w - 25)**2/3
Let t(r) = -r**2 + r - 1. Let y(a) = -82*a + 16*a**2 - 128*a - 44 + 250*a. Let h(g) = 12*t(g) + y(g). Find k such that h(k) = 0.
-14, 1
Suppose 109/3*a**2 + 796/3*a - 1/3*a**4 - 404 - 100/3*a**3 = 0. What is a?
-101, -3, 2
Solve 8772621*v**3 - 8772567*v**3 - 11*v**2 + 3*v**4 - 270*v + 224*v**2 = 0.
-10, -9, 0, 1
Determine x, given that 319 - 124*x - 2 - 4*x**2 + 86 + 5 + 0*x**2 = 0.
-34, 3
Let o = -562 - -568. Suppose -5*k = -3*c + 26, -5*c + o = -0*k + k. Find j, given that -5/2*j**c - 15 - 25/2*j = 0.
-3, -2
Let m = 16/9 + -55/36. Let z = -886063 - -886068. Suppose y**2 - 1/2 - 1/2*y**4 + 1/4*y**z - 1/2*y**3 + m*y = 0. Calculate y.
-1, 1, 2
Find f, given that 147/4 + 1/8*f**2 + 55/8*f = 0.
-49, -6
Let l be (2/3 - 0)/(12808 - 12806). Let l*k**3 - 16/9 - 4/9*k + 8/9*k**2 = 0. Calculate k.
-2, 4/3
Suppose -40 + 12*q - 9*q + 26*q + 5*q**2 + 13*q - 7*q = 0. What is q?
-8, 1
Let d = -7/40760 - -8159/40760. Suppose 2*g = -h + 5, -4*h = h - 3*g - 12. Factor -d*w**h + w - 1/5*w**2 - 3/5.
-(w - 1)**2*(w + 3)/5
Let n(c) be the first derivative of -c**4 - 368*c**3/3 - 182*c**2 + 6683. Suppose n(k) = 0. Calculate k.
-91, -1, 0
Let r(d) be the second derivative of 115/12*d**4 - 7/4*d**5 - 25/6*d**3 - 15*d**2 - 5/6*d**6 + 17*d + 0. Find q such that r(q) = 0.
-3, -2/5, 1
Suppose -30 = -6*q + 3*q. Let u be 6 - ((-5796)/(-280))/((-6)/q). Suppose -1/2*v**3 - 63/2*v + u - 17/2*v**2 = 0. Calculate v.
-9, 1
Let f(i) be the third derivative of -i**8/47040 - i**7/5880 + 7*i**5/30 - i**3/6 - 80*i**2. Let m(w) be the third derivative of f(w). Factor m(v).
-3*v*(v + 2)/7
Let g(a) be the second derivative of -a**5/30 - 44*a**4/45 - 17*a**3/15 + 2*a + 357. Determine z, given that g(z) = 0.
-17, -3/5, 0
Let b = 12245/1696 - 225/32. Let o = 262/265 - b. Factor 4/5*m**3 + o*m**2 - 4/5*m**4 + 0 - 4/5*m.
-4*m*(m - 1)**2*(m + 1)/5
Let g = -4023472/1155 - -24384/7. Let o = 17/165 - g. What is y in o*y**2 + 9/5 + 2*y = 0?
-9, -1
Let i be ((-2)/4)/(945/126) + (-2626)/(-390). Let -28/3*z**3 + 0 + 8/3*z + i*z**2 = 0. Calculate z.
-2/7, 0, 1
Let y(k) be the first derivative of -5*k**3/3 - 15*k**2 + 455*k - 1516. Factor y(j).
-5*(j - 7)*(j + 13)
Let u = 337463 - 337460. Factor -v - 1/2*v**2 + v**u - 1/4*v**4 + 3/4.
-(v - 3)*(v - 1)**2*(v + 1)/4
Let i(s) = 4*s**2 + 2*s - 16. Let n be i(-5). Factor n - 50*c - 18*c**2 + 17*c + 6*c**4 + 77 + 15*c**3 - 121.
3*(c - 1)**2*(c + 2)*(2*c + 5)
Let k(g) be the third derivative of g**8/5040 + g**7/2520 + 10*g**3/3 - 4*g**2 - 2. Let f(n) be the first derivative of k(n). Let f(h) = 0. Calculate h.
-1, 0
Let t(i) = -246*i**2 + 753*i + 754. Let h(y) = 35*y**2 + y + 1. Let v(r) = -28*h(r) - 4*t(r). Solve v(s) = 0 for s.
-1, 761
Let d(g) be the second derivative of -9*g**2 + 0*g**4 - 1/90*g**5 + 0*g**3 - 33*g + 0. Let b(j) be the first derivative of d(j). Find w such that b(w) = 0.
0
Let i(u) be the third derivative of -u**8/6720 + u**