/60*o**5 + 11/240*o**6 + 0*o**3 + 1/3*o**4 + 1/420*o**7 + 0*o + 125*o**2. Factor k(b).
b*(b + 1)*(b + 2)*(b + 8)/2
Let s(c) be the second derivative of -13*c**6/240 + 11*c**5/160 + c**4/48 + 33*c - 24. Factor s(k).
-k**2*(k - 1)*(13*k + 2)/8
Let d(w) be the first derivative of 4*w**3/9 + 77*w**2/3 + 120*w + 4074. Factor d(s).
2*(s + 36)*(2*s + 5)/3
Let w(l) be the first derivative of -4*l**5/35 - 3261*l**4/7 - 3546880*l**3/7 - 5313800*l**2/7 - 5531. Let w(t) = 0. What is t?
-1630, -1, 0
Suppose -188*w = -186*w - 4. Determine h so that 8 - 104*h - 8 + 64*h - 5*h**w = 0.
-8, 0
Let i(n) = -5*n**3 - 2*n**2 - 18*n + 113. Let p be i(6). Let x = -2279/2 - p. Factor 39/2*b - x*b**2 - 3/2*b**3 - 21/2.
-3*(b - 1)**2*(b + 7)/2
Let u(c) be the first derivative of c**5/4 - 25*c**4/12 - 5*c**3 - 8*c - 15. Let a(y) be the first derivative of u(y). Factor a(p).
5*p*(p - 6)*(p + 1)
Find q such that 807 - 7257/2*q - 27/2*q**2 = 0.
-269, 2/9
Let a(w) be the second derivative of -w**4/126 - 400*w**3/63 - 83*w - 9. Find y such that a(y) = 0.
-400, 0
Suppose 12196780 + 15088894 + 3*b**2 - 5741*b - 10292474 + 0*b**2 - 8539*b = 0. What is b?
2380
Let j(m) be the third derivative of m**7/315 - m**6/90 - 4*m**5/45 + m**4/2 - m**3 + 653*m**2. Factor j(v).
2*(v - 3)*(v - 1)**2*(v + 3)/3
Let o(j) be the first derivative of -j**5/12 + 25*j**4/8 + 85*j**3/3 - 42*j**2 + 42. Let s(q) be the second derivative of o(q). Factor s(g).
-5*(g - 17)*(g + 2)
Let z be -4*(-3)/(4 - -2). Factor -35*s**2 - 33*s**2 - 9*s + 98*s**z - 29*s**2.
s*(s - 9)
Let p(m) be the first derivative of -3/14*m**2 + 226 + 9/7*m - 5/21*m**3 - 1/28*m**4. Determine b so that p(b) = 0.
-3, 1
Let i(a) = -2938*a - 41128. Let m be i(-14). Let 3/4*h**5 + 0*h**2 + 0*h + 3/4*h**m + 0 - 9/2*h**3 = 0. Calculate h.
-3, 0, 2
Suppose 40*m = 38*m - 3*n + 30, -m = 25*n - 203. Let 0*p - 25*p**4 + 10/3*p**m - 40/3*p**5 + 0 + 0*p**2 = 0. Calculate p.
-2, 0, 1/8
Let q(f) = -9*f**3 + 1372*f**2 + 8365*f + 12601. Let z(o) = 5*o**3 + 4*o**2 - o - 1. Let c(l) = q(l) + z(l). Find y such that c(y) = 0.
-3, 350
Let i(f) be the third derivative of -f**6/30 - 94*f**5/15 + 1463*f**4/6 - 3528*f**3 - 4*f**2 + 51*f. Determine v so that i(v) = 0.
-108, 7
Factor -2/7*g**2 - 120/7*g + 54.
-2*(g - 3)*(g + 63)/7
Let h(z) be the first derivative of -87 + 0*z - 3/28*z**4 + 2/7*z**3 + 0*z**2 - 3/35*z**5. Let h(b) = 0. What is b?
-2, 0, 1
Let c = -442325/19 - -23281. Find r such that c*r - 2/19*r**4 - 14/19*r**3 - 18/19*r**2 + 20/19 = 0.
-5, -2, -1, 1
Let a(g) = -22*g**3 + 116*g**2 - 456*g - 603. Let p(b) = 5*b**3 - 29*b**2 + 114*b + 150. Let i(t) = -2*a(t) - 9*p(t). Determine j, given that i(j) = 0.
-1, 6, 24
Let s(p) be the second derivative of 41/18*p**3 + 1/90*p**6 - 41/60*p**5 + 0*p**2 + 0 - 1/36*p**4 + 223*p. Let s(v) = 0. What is v?
-1, 0, 1, 41
Let z(j) = -19*j**2 + 736*j - 741. Let w(n) = 15*n**2 - 735*n + 738. Let o(m) = 4*w(m) + 3*z(m). Determine f, given that o(f) = 0.
1, 243
Let h(w) = 3*w + 72. Let q(d) = d**3 - 18*d**2 + 47*d - 54. Let m be q(15). Let x be h(m). What is y in x - 2/7*y**2 - 2/7*y**3 + 4/7*y = 0?
-2, 0, 1
Suppose -82*f - 2*m + 20 = -77*f, -21 = 2*f - 5*m. Find z, given that -17/4*z - 1/4*z**f + 0 = 0.
-17, 0
Let n = -1/9226 - 3141443/92260. Let r = 137/4 + n. Factor 1/5*w**3 + 0*w - 1/5*w**4 + 0 - 1/5*w**5 + r*w**2.
-w**2*(w - 1)*(w + 1)**2/5
Factor 246/11*s**2 + 0 + 2/11*s**3 + 0*s.
2*s**2*(s + 123)/11
Suppose 3*p = 5*f + 54, 4*p - 26*f - 72 = -29*f. Let c(j) = -j**3 - j**2 + 2*j + 2. Let u be c(-2). What is s in 242*s + 2*s**2 - 2 - u + p - 258*s = 0?
1, 7
Let i(h) be the third derivative of -h**5/12 + 4345*h**4/24 + 4355*h**3/3 + 4*h**2 - 124. Factor i(w).
-5*(w - 871)*(w + 2)
Factor -38*f - 6*f**3 - 23*f + 9*f - 96 + 8*f**2 + 2*f**3 + 32*f**2.
-4*(f - 8)*(f - 3)*(f + 1)
Let l = 60621 - 60619. Factor -24/5*s + 0 - 3/5*s**l.
-3*s*(s + 8)/5
Suppose 3 = -116*w + 117*w. Let 71*k + 18*k**2 + 12 + 2*k**4 - 14*k**w - 189*k + 0*k**4 + 84*k + 16*k**2 = 0. What is k?
1, 2, 3
Let w be (21/35)/((-39)/52 - 123/(-100)). Factor -11/4*y**2 - 1/4*y**4 - 7/4*y**3 - w*y + 0.
-y*(y + 1)**2*(y + 5)/4
Let t(b) be the third derivative of b**6/72 + 5*b**5/12 + 10*b**4/3 - 32*b**3/3 - 53*b**2. Let f(v) be the first derivative of t(v). Solve f(z) = 0 for z.
-8, -2
Let u(v) = 19*v**4 + 44*v**3 + 11*v**2 - 19*v. Let o(t) = -9*t**4 - 20*t**3 - 5*t**2 + 8*t. Let j(q) = 5*o(q) + 2*u(q). Let j(x) = 0. What is x?
-1, 0, 2/7
Let u(g) be the first derivative of -5*g**7/56 + 7*g**6/12 - 11*g**5/10 + g**4 + g**3/3 + 142*g + 262. Let i(b) be the third derivative of u(b). Factor i(d).
-3*(d - 2)*(5*d - 2)**2
Let q(f) = f**3 + 5*f**2. Let p be q(0). Let m be p/((-8)/(-4)) + (-38)/(-76). Suppose -m*x**2 + 3/4 + 1/4*x = 0. What is x?
-1, 3/2
Let v(r) be the first derivative of 2*r**3/27 + 118*r**2/9 + 26*r + 1473. Find g, given that v(g) = 0.
-117, -1
Suppose -2*v = -4*d + 92 - 36, 0 = 3*d + 3*v - 24. Let h be (-15)/(-4) + 6/(-8). Find i such that 3 + d*i**4 - 6 + 6 + 111*i**2 - 63*i**h + 9 - 72*i = 0.
1/4, 1, 2
Suppose -1221*x**2 - 156*x + 304 + 615*x**2 + 608*x**2 = 0. Calculate x.
2, 76
Let h be (5/2)/(30855/65076). Let 390/11*m - h*m**2 + 450/11 + 2/11*m**3 = 0. What is m?
-1, 15
Let l(q) be the third derivative of q**6/90 - 101*q**5/90 + 49*q**4/36 + 50*q**3/9 - 1709*q**2. Let l(b) = 0. What is b?
-1/2, 1, 50
Suppose -3*v + 100 = 2*v. Suppose -2*l = -3*l - 1 + 3. Find q, given that 9*q + v*q + 6 - 21*q + l*q**2 = 0.
-3, -1
Let b(v) = 15*v - 25. Let t be b(2). Factor 13*k**t + 241*k**2 - 47*k**4 - 19*k**3 - 3*k**5 - 80 - 81*k**2 - k**3 - 80*k + 12*k**4.
5*(k - 2)**3*(k + 2)*(2*k + 1)
Factor 10129*o**3 + 3978375*o + 10134*o**3 + 682954375 - 20258*o**3 + 7725*o**2.
5*(o + 515)**3
Let -34/21*l**3 + 4/21*l**4 + 12/7*l**2 + 46/21*l - 4/3 = 0. Calculate l.
-1, 1/2, 2, 7
Let w = 341210 - 341207. Suppose 8/3*c**2 - 2/3*c**w + 0 - 8/3*c = 0. What is c?
0, 2
Let s(k) be the first derivative of -k**5/540 - k**4/27 - 7*k**3/54 - k**2 - 3*k - 60. Let g(i) be the second derivative of s(i). Factor g(t).
-(t + 1)*(t + 7)/9
Let z(a) be the second derivative of -1/6*a**4 + 1/20*a**5 + 42*a - 5/2*a**3 + 0 + 18*a**2. What is f in z(f) = 0?
-4, 3
Suppose 2*l - 56 = -12*l. Factor 3*x + 0*x - 2 + 8*x + 17*x**2 + l*x.
(x + 1)*(17*x - 2)
Factor -15 - 1/2*f**3 + 3*f**2 + 1/2*f.
-(f - 5)*(f - 3)*(f + 2)/2
Let n(h) be the first derivative of -50/3*h**3 - 50*h + 10*h**4 - 5/6*h**6 + 35 - 115/2*h**2 + 4*h**5. Solve n(d) = 0 for d.
-1, 2, 5
Let g be (-1)/(0 - (-4 - -7 - 4)). Let y be 28/(-7) - g*(-1 - -5). Suppose 0 + 1/4*b**4 + y*b**2 + 1/4*b**3 + 0*b = 0. Calculate b.
-1, 0
Suppose -5 = 5*p, 3 = -3*r - 3*p - 0*p. Let j be ((0 - 0/3) + 2)*(-100)/((-7400)/111). Suppose 10/17*x**2 + 2/17*x**4 - 8/17*x**j - 4/17*x + r = 0. Calculate x.
0, 1, 2
Suppose -576*x - 76 - 64 = -611*x. Factor -1/2*r**2 - 1/4*r**3 + 1/4*r**x + 0 + 0*r.
r**2*(r - 2)*(r + 1)/4
Let n(z) be the second derivative of 223*z**4/12 + z**3/3 + z**2 - z. Let x be n(-1). Factor -9*v**3 - 12*v + 0*v - x*v**2 + 199*v**2.
-3*v*(v + 2)*(3*v + 2)
Let s(a) = a**3 + 6*a**2 + 33*a + 102. Let t be s(-4). Let u(h) = 2*h + 1. Let b be u(0). Factor -b + 1/4*z**t - 3/4*z.
(z - 4)*(z + 1)/4
Let d = 17982 + -17978. Let t(u) be the third derivative of 0*u**5 + 21*u**2 + 0*u**3 - 1/140*u**6 + 1/21*u**d + 1/735*u**7 + 0*u + 0. Factor t(o).
2*o*(o - 2)**2*(o + 1)/7
Let o(y) = -y**2 + 22. Let l be o(-5). Let f be 5 - ((l + 2)/(-1) - 0). Factor 0*t**3 + 0 + 1/5*t**2 + 0*t - 1/5*t**f.
-t**2*(t - 1)*(t + 1)/5
Let a(d) be the third derivative of -33*d**2 + 0*d + 0*d**3 + 5/96*d**4 + 0 - 1/240*d**5. What is r in a(r) = 0?
0, 5
Let q(a) be the first derivative of -a**4/7 - 68*a**3/21 - 24*a**2 - 432*a/7 - 3567. Solve q(s) = 0 for s.
-9, -6, -2
Let b be (-74)/26 - (-12 - -9). Let w be (-6 - 790/(-130))*121 + -9. Solve -6/13*d**3 + b*d**5 - 10/13*d**2 + 2/13*d**4 - w*d + 0 = 0.
-1, 0, 2
Factor 722/5*p - 1/5*p**2 - 130321/5.
-(p - 361)**2/5
Let i(u) be the second derivative of u**7/252 + u**6/15 + 2*u**5/5 + 41*u**4/36 + 7*u**3/4 + 3*u**2/2 - 54*u - 12. Solve i(j) = 0 for j.
-6, -3, -1
Let k be 37/111 - (-48)/(-9). Let g be 1*(-2)/5*k. Factor 1/6*y**g - 1/6 - 1/6*y + 1/6*y**3.
(y - 1)*(y + 1)**2/6
Let x(l) be the third derivative of -1/12*l**3 - 1