= s**2 + 6*s - 4. Let m be a(1). Let g be v(m). Factor -6*o + 178*o**5 - g*o**5 + 15*o**2 - 9*o**3 - 3*o**4 + 177*o**5.
3*o*(o - 1)**3*(o + 2)
Suppose -1/5*q**3 + 1/5*q + 1/5*q**4 + 2/5 - 3/5*q**2 = 0. Calculate q.
-1, 1, 2
Factor -51*z - 4*z**3 + 85 + z**3 - 147*z + 41 + 21*z + 54*z**2.
-3*(z - 14)*(z - 3)*(z - 1)
Let d = -31/3341 + 80401/23387. Solve 0 + 8/7*v**5 + 16/7*v - d*v**3 - 62/7*v**4 + 62/7*v**2 = 0 for v.
-1, -1/4, 0, 1, 8
Let v(s) = 35*s**3 - 1717*s**2 + 366366*s + 368079. Let m(d) = 396*d**3 - 18888*d**2 + 4030026*d + 4048868. Let a(p) = 6*m(p) - 68*v(p). Factor a(i).
-4*(i - 429)**2*(i + 1)
Let v = 440287 + -4843153/11. Solve 0 + 0*w - v*w**3 - 16/11*w**2 + 2/11*w**4 = 0.
-2, 0, 4
Let p be (-4)/((-24)/(-5)) - (-7 + 148/24). Let j(w) be the second derivative of p + 22*w + 1/6*w**4 + 9*w**2 + 2*w**3. Suppose j(f) = 0. Calculate f.
-3
Let r(g) be the first derivative of g**6/60 + 13*g**5/30 - 181*g**2/2 - 114. Let t(j) be the second derivative of r(j). Suppose t(o) = 0. What is o?
-13, 0
Let a be 2/(-7) + 256/112. Let r be -1 - (1 + -17)/4. Factor u**a - 3*u + 4 + 7*u + r*u**2 - 14*u.
2*(u - 2)*(2*u - 1)
Let b(q) = -29*q**4 - 9*q**3 - 33*q**2 - 27*q + 2. Let j(k) = -14*k**4 + k**3 + k**2 - k + 1. Let v(t) = -3*b(t) + 6*j(t). Factor v(g).
3*g*(g + 1)*(g + 5)**2
Let z(q) = 878*q**3 - 899*q**2 - 1750*q - 3. Let u(h) = 438*h**3 - 449*h**2 - 874*h - 5. Let t(i) = -5*u(i) + 3*z(i). Factor t(l).
4*(l - 2)*(l + 1)*(111*l - 2)
Solve -140 - 1/5*m**2 + 352/5*m = 0.
2, 350
Let r = -2/1479 + 509/11832. Let z(g) be the second derivative of r*g**4 + 0*g**2 + 1/18*g**3 - 17*g + 1/120*g**5 + 0. Factor z(y).
y*(y + 1)*(y + 2)/6
Let k(i) be the third derivative of i**6/360 + 11*i**5/60 + 5*i**4/3 + 58*i**3/9 - 45*i**2 + 3*i. Factor k(d).
(d + 2)**2*(d + 29)/3
Let w(s) be the first derivative of 2/9*s**3 + 0*s - 2/15*s**5 - 1/9*s**6 + 1/6*s**4 - 65 + 0*s**2. Suppose w(v) = 0. Calculate v.
-1, 0, 1
Let q(g) be the second derivative of -3*g**5/20 - 29*g**4/4 + 31*g**3 + 7*g + 53. Factor q(k).
-3*k*(k - 2)*(k + 31)
Let j be 1842/(-11973) - 4/(-26). Let j - r + 4*r**3 + 5/4*r**4 - 17/4*r**2 = 0. Calculate r.
-4, -1/5, 0, 1
Let g(a) = 9*a**5 + 91*a**4 - 483*a**3 + 477*a**2 + 474*a - 576. Let k(i) = i**5 - i**3 - i**2. Let x(t) = -3*g(t) + 24*k(t). Determine y so that x(y) = 0.
-96, -1, 1, 2, 3
Let r(u) be the third derivative of u**6/1140 - 271*u**5/285 + 541*u**4/228 + 18*u**2 - 12*u. Let r(f) = 0. Calculate f.
0, 1, 541
Suppose -4*t - 40 = -y - 5*t, 2*y - 82 = -3*t. Suppose a - 9 = -3*h, -2*h + y*a - 41*a = -13. Factor -30*n + 3/2*n**h + 150.
3*(n - 10)**2/2
Let g(i) = -i**3 - 24*i**2 - 22*i + 25. Let s = -126 + 103. Let r be g(s). Find x such that -20 - 25/2*x**4 - 125*x**r + 135/2*x**3 + 90*x = 0.
2/5, 1, 2
Suppose 0*l = -7*l + 8456. Determine f, given that 1208 - f**5 - 4*f**5 + 115*f**4 - l = 0.
0, 23
Let g(i) be the second derivative of i**7/420 - i**6/60 + i**5/30 - 37*i**3/3 - 88*i. Let d(j) be the second derivative of g(j). Factor d(r).
2*r*(r - 2)*(r - 1)
Let p(j) be the second derivative of -5*j**4/24 - 75*j**3/4 - 1085*j**2/2 - 5786*j. Factor p(k).
-5*(k + 14)*(k + 31)/2
Let r = -3832 + 26826/7. Let o(l) be the first derivative of -13 - 1/14*l**2 - r*l + 1/21*l**3. Suppose o(h) = 0. Calculate h.
-1, 2
Let f(s) be the first derivative of 4/3*s**4 + 38 + 7/15*s**5 - 8/3*s**3 - 16/3*s - 32/3*s**2. Solve f(z) = 0 for z.
-2, -2/7, 2
Suppose -3835 + 3*s**3 - 3844 + 1236*s - 414*s + 7679 + 825*s**2 = 0. Calculate s.
-274, -1, 0
Let y be 2882/(-693) + 4 - 88/(-198). Suppose 3*k + 5 = 4*k. What is j in 10/7*j**2 + 4/7*j + 0 - 2/7*j**k + 6/7*j**3 - y*j**4 = 0?
-1, 0, 2
Let q(a) be the first derivative of a**7/672 - 19*a**6/144 + 361*a**5/96 - 2*a**3 + a**2/2 + 49. Let c(x) be the third derivative of q(x). Factor c(y).
5*y*(y - 19)**2/4
Suppose -4361*m + 4357*m + 12 = 0. Let u(j) be the first derivative of 2/3*j**2 + 0*j - 1/9*j**m + 11. Suppose u(r) = 0. Calculate r.
0, 4
Let f(v) be the third derivative of 0*v + 12/5*v**5 - 1/30*v**6 + 0*v**3 + 44*v**2 + 0 - 54*v**4. Factor f(q).
-4*q*(q - 18)**2
Let o(r) = -r**3 - 54*r**2 - 183*r + 3040. Let y be o(-49). Determine w, given that 0 - 4/13*w**3 - 2/13*w**y - 2/13*w**4 + 0*w = 0.
-1, 0
Suppose -3*w = -w. Suppose -4*f + 4*t + 2788 = w, -f + 7*t - 4*t = -691. Factor -40 - 25*p**3 - 16*p**2 + f*p - 840*p - 94*p**2.
-5*(p + 2)**2*(5*p + 2)
Let f(j) = 70*j**4 + 245*j**3 + 175*j**2 + 5*j - 5. Let w(g) = g**5 + g**2 - g + 1. Let y(m) = -f(m) - 5*w(m). Solve y(a) = 0 for a.
-9, -4, -1, 0
Let d be (3 + -3)/((-3 - 0)*(-32)/(-48)). Let k(v) be the first derivative of 0*v**2 + v**4 - 18 + d*v + 4/3*v**3. Factor k(q).
4*q**2*(q + 1)
Let f be (-198)/(-110)*(-10)/(-3). Factor -33*i**2 - 86*i**4 + f*i**4 - 35*i**5 - 55*i**3 + 29*i**2 - 6*i**2.
-5*i**2*(i + 1)**2*(7*i + 2)
Suppose l + 1 = 3*p, -8*p + 7*p + 3 = l. What is c in -25*c**2 + 96*c - 64 + 0*c**2 - 8*c**l - 3*c**2 + 4*c**3 = 0?
1, 4
Let d(w) = -w**3 - w**2 + 24*w + 51. Let o be d(-7). Determine j, given that -8*j + 75*j + 4*j**2 - 248 + o*j = 0.
-62, 1
Let q(t) be the second derivative of -t**5/5 - 14*t**4/3 - 40*t**3 - 144*t**2 - 2508*t + 2. Solve q(u) = 0 for u.
-6, -2
Suppose -9*n = 16*n + 4 - 4. Let z(o) be the third derivative of -29*o**2 + 0*o**3 - 1/180*o**5 + 1/18*o**4 + n*o + 0. Solve z(t) = 0 for t.
0, 4
Let a(w) be the first derivative of -w**6/270 + w**5/45 - w**4/18 + 2*w**3/27 - w**2 - 50*w - 113. Let j(i) be the second derivative of a(i). Solve j(t) = 0.
1
Let m be -71 + (-8866)/496*-4. Suppose 1/4*u**5 - 3/4*u**4 + 0 + 3/4*u**2 - m*u + 1/4*u**3 = 0. What is u?
-1, 0, 1, 2
Let q(n) = 35*n**4 + 493*n**3 - 786*n**2 - 61*n + 312. Let x(g) = -87*g**4 - 1233*g**3 + 1965*g**2 + 153*g - 780. Let y(i) = -18*q(i) - 7*x(i). Solve y(d) = 0.
-13, -4/7, 1
Let s(b) be the first derivative of -31/2*b**2 - 11 + 0*b - 1/15*b**3 - 1/150*b**5 + 1/30*b**4. Let m(w) be the second derivative of s(w). Factor m(r).
-2*(r - 1)**2/5
Let i = 123 + -114. Let q = 11 - i. Factor q*b**4 + 3*b**3 - 3*b**4 + 2*b**3 - 4*b**3.
-b**3*(b - 1)
Let o(c) = 25*c**2 + 3975*c + 338. Let y(d) = 203*d**2 + 31801*d + 2664. Let t(s) = 51*o(s) - 6*y(s). Suppose t(n) = 0. What is n?
-209, -2/19
Let t be -12*(2 + (-12)/8) + 6. Suppose 3*z = -5*h + z + 26, t = -z + 3. Factor 0 - 1/6*g**5 + 1/2*g**2 + 5/6*g**h + 0*g - 7/6*g**3.
-g**2*(g - 3)*(g - 1)**2/6
Let y = 281/8 + -4207/120. Let t(s) be the first derivative of 0*s + y*s**3 + 1/25*s**5 + 0*s**2 + 1/10*s**4 - 2. Suppose t(x) = 0. Calculate x.
-1, 0
Factor 23478*t + 1077/4*t**2 - 124215 + 3/4*t**3.
3*(t - 5)*(t + 182)**2/4
Suppose -179 + 187 = 4*n. Let o(t) be the first derivative of 0*t - 4/35*t**5 + 2/7*t**n - 1/7*t**4 + 9 + 4/21*t**3. Factor o(q).
-4*q*(q - 1)*(q + 1)**2/7
Factor -36*b - 33*b**2 - 79*b**2 - 30*b**2 + 2*b**3 - 26*b**2 + 154*b**2.
2*b*(b - 9)*(b + 2)
Let f(k) be the first derivative of -2*k**3/39 - 112*k**2 - 81536*k + 2108. Factor f(j).
-2*(j + 728)**2/13
Let g(u) be the second derivative of -3*u**5/20 + 51*u**4/10 - 4*u**3 + 165*u - 1. Factor g(q).
-3*q*(q - 20)*(5*q - 2)/5
Let p be (-52)/(-6) - 6/9. Suppose p*l - 13 - 19 = 0. Determine m so that 4/5*m**l + 8/5 - 12/5*m**2 + 4/5*m**3 - 4/5*m = 0.
-2, -1, 1
Let o(x) = 251*x - 247. Let v be o(1). Let r(g) be the third derivative of -1/84*g**v + 0 - 1/210*g**5 - 30*g**2 + 0*g**3 + 0*g. Find y such that r(y) = 0.
-1, 0
Let j = 115708 - 115706. Factor 0 - 3/7*r**3 + 36/7*r - 3/7*r**j.
-3*r*(r - 3)*(r + 4)/7
Suppose -18*s**4 + 140*s**4 + 40*s**5 + 28*s**4 + 441 + 840*s**3 + 450*s**2 - 1932*s - 28*s**5 + 39*s**4 = 0. What is s?
-7, -3, 1/4, 1
Let l be (-1)/2*(-3 + 6 + -9). Factor 11*c**4 - 2466 + 2*c + 6*c + 25*c**4 + 2466 - 64*c**l + 20*c**2.
4*c*(c - 1)**2*(9*c + 2)
Let a(z) = -373*z**2 - 10446*z - 54. Let h be a(-28). Let 4/3*c**4 - 28/3*c**3 + 68/3*c**h - 68/3*c + 8 = 0. Calculate c.
1, 2, 3
Factor 4*y**4 + 12*y**3 - 148*y**2 - 90 + 22*y**3 - 150 + 18*y**3 - 1992*y + 1556*y.
4*(y - 4)*(y + 1)**2*(y + 15)
Let y be ((-17490)/429 - -42)/(12/26). Factor 0*f - y + 2/3*f**2.
2*(f - 2)*(f + 2)/3
Let 264/5*g**4 + 7784/5*g - 2*g**5 - 1474/5*g**3 - 4212/5*g**2 - 2352/5 = 0. Calculate g.
-3, 2/5, 1, 14
Suppose -2*x + 654 = 5*o - 471, 4*o = -5*x + 883. Suppose 216*b - o*b = -33. Factor 