0 + 5/8*h**4. Let o(l) be the first derivative of b(l). Factor o(r).
5*(r + 1)*(r + 3)
Let p be -41 - 0 - (-211548)/5124. Let p*b**5 + 4/7*b**2 - 4/7*b**4 + 0*b**3 + 0 - 2/7*b = 0. Calculate b.
-1, 0, 1
Let l be 230/138 - 2/(-6). Factor 1021*o**2 - 3*o**3 - 18*o - 1042*o**l - 3 + 3.
-3*o*(o + 1)*(o + 6)
Let h = -836325 - -836327. Factor -1825*j + 49*j**h - 1/3*j**3 + 5329/3.
-(j - 73)**2*(j - 1)/3
Let j = -438 + 447. Factor -7 - 11*p + 32*p + 7*p**2 - 13*p - j*p + p**3.
(p - 1)*(p + 1)*(p + 7)
Let q(r) be the second derivative of 3*r**5/50 + 7*r**4/60 - 2*r**3/15 - r**2/2 - 1371*r. Factor q(g).
(g + 1)**2*(6*g - 5)/5
Let x = 236 + -234. Let -11*s**4 + 0*s**5 - s**3 - 16*s**x - 11*s**3 + 12*s**2 - 3*s**5 = 0. Calculate s.
-2, -1, -2/3, 0
Let u(y) = y + 16. Let l be u(-11). Suppose -k = l*k - 12. Factor 15 + 2*c - c**k - 15.
-c*(c - 2)
Let b = -59/34 - -211/102. Let j(n) be the second derivative of -1/18*n**4 - 4/3*n**3 + 2/5*n**5 + b*n**2 + 0 - 18*n. Solve j(d) = 0.
-1, 1/12, 1
Let g = -415923 - -2079631/5. Let 9/5*d + 14/5*d**3 - 6/5*d**4 + 1/5*d**5 - g*d**2 - 2/5 = 0. Calculate d.
1, 2
Let u = 1416 - 1506. Let l be 5 - ((-8)/(-6))/((-24)/u). Factor 0*r + 1/6*r**4 + l - 1/6*r**2 + 0*r**3.
r**2*(r - 1)*(r + 1)/6
Factor -1712/13 + 436/13*v - 2/13*v**2.
-2*(v - 214)*(v - 4)/13
Let 11881/4 - 36079/8*w - 221/8*w**3 + 12537/8*w**2 + 1/8*w**4 = 0. What is w?
1, 2, 109
Let g(i) = i**5 - 2*i**4 - i**3 - i**2 - 2*i. Let l(a) = 12*a**5 - 30*a**4 - 9*a**2 - 38*a. Let c(r) = 52*g(r) - 4*l(r). Solve c(z) = 0 for z.
-6, -1, 0, 1, 2
Determine h, given that 30339760*h**4 + 4570 - 30335210*h**4 - 18275*h - 19875*h**3 + 1625*h**3 + 5*h**5 + 27400*h**2 = 0.
-914, 1
Solve -621 + 109 + 312*w**2 - 4*w**4 + 126350*w**3 - 160*w - 126394*w**3 = 0.
-16, -1, 2, 4
Let q(a) = -7*a**3 - 217*a**2 - 5*a - 45. Let n(o) = -10*o**3 - 325*o**2 - 7*o - 63. Let b(c) = 5*n(c) - 7*q(c). Factor b(k).
-k**2*(k + 106)
Let d(i) be the third derivative of -i**5/330 + 97*i**4/22 - 28227*i**3/11 - 640*i**2. Determine m, given that d(m) = 0.
291
Let b(v) be the first derivative of -2*v**5/55 - 31*v**4/22 + 2*v**3 + 31*v**2/11 - 64*v/11 - 22. Let b(j) = 0. Calculate j.
-32, -1, 1
Let s(l) = -1396*l**3 + 2704*l**2 + 4524*l + 104. Let g(f) = 279*f**3 - 541*f**2 - 901*f - 21. Let t(r) = 16*g(r) + 3*s(r). Factor t(v).
4*(v - 3)*(v + 1)*(69*v + 2)
Let h(t) = 3*t**2 + 30*t + 30. Let y be h(-9). Factor -128*b + 2*b**2 + 5000 - 23*b - 46*b - y*b.
2*(b - 50)**2
Factor -284*d**3 - 574592 + 359*d**3 - 79*d**3 - 291584*d - 2152*d**2.
-4*(d + 2)*(d + 268)**2
Determine a so that 585*a**5 + 15250*a**4 + 29700*a**3 + 7840 + 54322*a**3 - 18480*a - 224240*a**2 - 46111*a**3 + 45009*a**3 = 0.
-14, -2/9, 2/13, 2
Suppose 4 + 169*u**2 + 160*u**2 - 328*u**2 - 5*u = 0. What is u?
1, 4
Factor 48/7*s**2 + 195/7*s + 150/7 + 3/7*s**3.
3*(s + 1)*(s + 5)*(s + 10)/7
Let q be -44*12/120 + 5. Suppose 13*d + 36 = 31*d. Factor 1 - 14/5*h - q*h**d.
-(h + 5)*(3*h - 1)/5
Let u(p) = -3*p**2 - 15*p - 7. Let k be u(-5). Let n be (28/(-2) - -4)/(-1 + k). Factor 15/4*c + n*c**3 - 5*c**2 + 0.
5*c*(c - 3)*(c - 1)/4
Let i = 5 - 9/2. Let a = -609/47 - -1265/94. Find o, given that -1/2*o**2 - 1/2*o**3 + a + i*o = 0.
-1, 1
Let c(m) = 4*m**3 + 54*m**2 - 18*m + 4. Let b(x) = -11*x**3 - 217*x**2 + 73*x - 18. Let v(q) = -4*b(q) - 18*c(q). Suppose v(y) = 0. Calculate y.
-4, 0, 2/7
Let w(c) be the first derivative of 8*c**3/33 + 59*c**2 + 324*c/11 + 63. Factor w(s).
2*(s + 162)*(4*s + 1)/11
Suppose -8/7*v**4 + 2916/7*v**3 - 208*v - 1452/7*v**2 + 0 = 0. Calculate v.
-1/2, 0, 1, 364
Suppose -2*p - 18 = 2*h, 218*h - 215*h + 4*p + 36 = 0. Find y such that 6/11*y**3 - 2/11*y**4 - 8/11*y + 0 + h*y**2 = 0.
-1, 0, 2
Let n be (1/(-2))/(1/10). Let m be n/15*3*(-4 - 1). Factor -7*d**2 - 13 + m*d**2 + d**4 + 14.
(d - 1)**2*(d + 1)**2
Let z(f) = -3*f**2 + 629*f + 632. Let l(q) = 2*q**2 - 630*q - 632. Let p(j) = 7*l(j) + 6*z(j). Factor p(v).
-4*(v + 1)*(v + 158)
Let s(k) be the third derivative of 25*k**7/84 - 1495*k**6/96 + 439*k**5/16 - 109*k**4/6 + 29*k**3/6 + 3084*k**2. Let s(h) = 0. Calculate h.
1/10, 2/5, 29
Let z(l) = -5*l**3 + 671*l**2 - 56416*l - 236675. Let i(t) = 6*t**3 - 668*t**2 + 56416*t + 236676. Let r(o) = -3*i(o) - 4*z(o). Determine x so that r(x) = 0.
-4, 172
Let v(q) be the second derivative of q**4/30 - 623*q**3/15 - 504*q. Solve v(z) = 0 for z.
0, 623
Let q(r) be the first derivative of r**3/5 + 108*r**2/5 - 380. Factor q(s).
3*s*(s + 72)/5
Let t(o) be the second derivative of -o**4/48 - 35*o**3/12 - 969*o**2/8 - 5456*o. Let t(b) = 0. What is b?
-51, -19
Let g(r) = -67*r**2 - 141*r - 683. Let h(m) = 156*m**2 + 282*m + 1367. Let f(x) = -7*g(x) - 3*h(x). Factor f(b).
(b + 5)*(b + 136)
Let j be 4*(12/16 + 0). Let n be (1 - (4 - j))*(-11)/(-22). Let 1/4*s**3 + 1/2*s**2 + 1/4*s + n = 0. Calculate s.
-1, 0
Let h(l) be the second derivative of -l**6/10 + 33*l**5/20 + 15*l**4/2 - 22*l**3 - 156*l**2 - l + 803. Factor h(b).
-3*(b - 13)*(b - 2)*(b + 2)**2
Suppose -2*f + 2 = -2*h, 9*f - 7*f - 27 = -3*h. Let 3*i - 11*i + 2*i**2 + 2 + f - 2 = 0. Calculate i.
1, 3
Suppose 0 = -42*r - 2668 + 2962. Let d(g) be the third derivative of -1/5*g**6 + 0*g - 16/3*g**4 + 0*g**3 + 8/5*g**5 - 14*g**2 + 0 + 1/105*g**r. Factor d(p).
2*p*(p - 4)**3
Let v(s) = 14*s**2 - s - 1. Let n be v(-1). Suppose n*o = 78548 - 16990. Factor -4399*h**2 - 10*h + 17 - 5 + o*h**2.
-2*(h - 1)*(h + 6)
Let x(z) be the second derivative of -3 + 1/210*z**7 + 1/30*z**4 - 1/25*z**5 - 1/5*z**2 + 1/10*z**3 + 3*z + 0*z**6. Factor x(f).
(f - 1)**3*(f + 1)*(f + 2)/5
Let j(y) = 7*y**3 + 115*y**2 + 189*y - 507. Let l(x) = -22*x**3 - 342*x**2 - 568*x + 1520. Let q(g) = 8*j(g) + 3*l(g). Solve q(n) = 0.
-6, 7/5
Let j(g) = 2*g**3 + 24*g**2 + 21*g - 11. Let q be j(-11). Suppose -11*d + 29*d = q. Factor -3/7*r**2 + d + 3/7*r.
-3*r*(r - 1)/7
Let n(v) = -v**2 + 17*v + 42. Let u be n(20). Let m be (10/(-45))/(1 + 20/u). Factor 0 + 2/3*d**3 + 6*d - 4*d**m.
2*d*(d - 3)**2/3
Let q(s) be the first derivative of s**4/34 - 622*s**3/17 + 290163*s**2/17 - 60160462*s/17 - 5139. Factor q(v).
2*(v - 311)**3/17
Suppose -86*c = -45*c - 2788. Let w be 38/14 + c/238. Let -j**2 - 2/3*j + 0 - 1/3*j**w = 0. What is j?
-2, -1, 0
Let r(j) = -3*j - 15 + 2 - 15. Let d be r(-14). Determine q so that 26*q**2 - d*q**2 + 12 + 10*q - 14*q**2 = 0.
-1, 6
Factor 3/4*y**3 - 27 - 12*y**2 + 153/4*y.
3*(y - 12)*(y - 3)*(y - 1)/4
Let a be 0 + 2 + 1599/(-1274). Let f = a + -12/49. Factor 1/2*c**2 + 0 + f*c**3 + 0*c.
c**2*(c + 1)/2
Let c = -9953/140 + 498/7. Let d(n) be the third derivative of -1/2*n**3 + 0*n - 1/4*n**4 - 2*n**2 + 0 - c*n**5. Factor d(v).
-3*(v + 1)**2
Suppose -120*g + 88*g - 249*g + 446 = -58*g. Solve -21*w - 1/3*w**3 - 5*w**g - 49/3 = 0.
-7, -1
Find v such that 45*v**4 + 8075*v**2 - 75*v**3 - 4112*v**2 - 5*v**5 - 4088*v**2 = 0.
-1, 0, 5
Let y(d) be the first derivative of 1/24*d**4 - 13/18*d**3 - 11/6*d + 37 + 23/12*d**2. Let y(v) = 0. What is v?
1, 11
Let a(h) = -15*h**2 - 2009*h - 1978. Let c(b) = -5*b**2 - 669*b - 658. Let r(w) = -3*a(w) + 8*c(w). Let r(q) = 0. Calculate q.
-134, -1
Let k(h) be the second derivative of 95*h**7/168 + h**6 - 9*h**5/16 - 35*h**4/24 - 3545*h. Let k(a) = 0. Calculate a.
-1, 0, 14/19
Let 9*l**3 + 1587*l**2 - 1575*l**2 - 6*l**3 + 12*l = 0. What is l?
-2, 0
Suppose 1084*u + 1082*u - 36 = 2148*u. Factor -8/9 - 8*l - 18*l**u.
-2*(9*l + 2)**2/9
Let h be (-29)/58 - (35/2)/(-7). Let m be (-1)/(-2) + (-2)/(-4). Factor -6*r**h + 8 + 1 - 2*r**3 - m.
-2*(r - 1)*(r + 2)**2
Let p(v) = -54*v**2 - 4926*v + 3050450. Let w(k) = 23*k**2 + 2464*k - 1525225. Let u(m) = 3*p(m) + 7*w(m). Find f, given that u(f) = 0.
1235
Let k(m) be the third derivative of -m**5/20 + 3*m**4 + 81*m**3/2 - 3846*m**2. Factor k(f).
-3*(f - 27)*(f + 3)
Let l(s) be the second derivative of -s**4/12 + 26*s**3/3 + 413*s**2/2 - 5036*s. Factor l(b).
-(b - 59)*(b + 7)
Let g = 2172 - 2166. Let k(o) be the third derivative of 1/30*o**5 + 0*o - 1/3*o**3 + 1/120*o**g - 1/24*o**4 + 0 - 3*o**2. Factor k(s).
(s - 1)*(s + 1)*(s + 2)
Find h such that -3760*h**2 - 519*h**3 - 4*h**4 - 10816 + 14352*h + 1284*h**3 - 537*h**3 = 0.
1, 4, 26
Let c(m) = -5*m**4 - 65*m**3 - 180*m**2 - 235*m - 140. Let r(z) = z**2 - 2. Let p(g) = c(g) - 25*r(g). What is i in p