actor -229*f + 5*f**2 - 37*f**u + 277*f + 4*f**3.
4*f*(f - 6)*(f - 2)
Let b = 46531 + -46529. Find g such that -3/2*g**4 - 17/2*g**b + 31/6*g**3 + 20/3*g + 1/6*g**5 - 2 = 0.
1, 2, 3
Let u(h) be the first derivative of -2*h**5/55 - 15*h**4/11 - 166*h**3/11 - 28*h**2 + 1176*h/11 + 544. Determine s, given that u(s) = 0.
-14, -3, 1
Let w be (-1020)/(-40) + (-1)/2 + -5. Solve -200 - 75 - w*o**3 - 45 - 325*o**2 - 1360*o = 0.
-8, -1/4
Let a(t) be the first derivative of t**7/2240 - 11*t**6/320 + 9*t**5/10 - 4*t**4 + t**3/3 + 14*t + 106. Let q(n) be the third derivative of a(n). Factor q(g).
3*(g - 16)**2*(g - 1)/8
Let f = 112379 + -112379. What is i in 3/4*i**2 + 18*i + f = 0?
-24, 0
Let l = -236/155 + 125948/465. Solve 340/3*m - 98*m**4 + 812/3*m**3 - l*m**2 - 50/3 = 0.
1/3, 5/7, 1
Let b(t) be the second derivative of -t**5/80 - 13*t**4/16 - 31*t**3/3 + 165*t**2/2 - 1148*t - 3. Determine f, given that b(f) = 0.
-30, -11, 2
Let r(c) be the third derivative of -c**5/150 + 2377*c**4/30 - 5650129*c**3/15 + 88*c**2 - 23. What is g in r(g) = 0?
2377
Let i(o) be the first derivative of 2*o**5/45 - o**4/2 + 10*o**3/9 - 7*o**2/9 - 4016. Determine l so that i(l) = 0.
0, 1, 7
Suppose 5*b + 20 = 4*m, 2504*b = 2501*b + m - 5. Factor 2/3*s**3 + 14/3*s**2 - 16/3*s + b.
2*s*(s - 1)*(s + 8)/3
Let o be 17*44/(-561) + (-194)/(-15). Determine r, given that 118/5*r + o + 62/5*r**2 + 2/5*r**3 = 0.
-29, -1
Let p(k) be the first derivative of 2*k**3/9 + 1234*k**2/3 + 761378*k/3 - 3802. Determine q, given that p(q) = 0.
-617
Let z be (3/((-132)/16))/((-196)/4312). Determine k, given that 4/5*k + 64/5*k**4 + 0 - z*k**5 - 2*k**2 - 18/5*k**3 = 0.
-2/5, 0, 1/2, 1
Let r(w) be the second derivative of -169*w - 1/8*w**4 + 0*w**2 + 1 - 7/4*w**3. Determine p so that r(p) = 0.
-7, 0
Let x(o) be the third derivative of -o**7/2520 - 7*o**6/180 - 49*o**5/30 + 2*o**4/3 + o**3/6 - o**2. Let s(v) be the second derivative of x(v). Factor s(t).
-(t + 14)**2
Factor 24*l**2 + 97*l**4 + 18*l - 205*l**4 - 12 - 13*l**3 - 2*l + 128*l**4 - 35*l**3.
4*(l - 1)**3*(5*l + 3)
Let c(a) = 7*a**4 + 1335*a**3 - 2688*a**2 + 15. Let m(k) = -k**4 + 3*k**3 - 4*k**2 - 3. Let y(j) = -c(j) - 5*m(j). Factor y(d).
-2*d**2*(d - 2)*(d + 677)
Let p(q) be the first derivative of 5*q**6/6 + q**5 - 5*q**4/2 + 11061. Factor p(k).
5*k**3*(k - 1)*(k + 2)
Suppose 211 - 31 = 6*u. Suppose -u = -14*h + 12. Factor 16*a**2 - 9*a - 28*a**3 + 52*a**h - 3*a - 28*a**3.
-4*a*(a - 3)*(a - 1)
Let b(m) be the second derivative of -m**9/52920 - 13*m**8/23520 - 25*m**4/12 - 42*m + 2. Let q(y) be the third derivative of b(y). Find n, given that q(n) = 0.
-13, 0
Suppose -u + p = -67, 0 = -2*p + 7*p - 5. Let k be u/5 + 12/(-20). Determine j, given that -1 + 3*j + j**2 - 10 + k = 0.
-2, -1
Let r = 3260254/11 - 295885. Let j = -501 + r. Let -2/11*g**2 + j*g - 6/11 = 0. What is g?
1, 3
Let t(u) be the first derivative of -u**6/3 + 8*u**5 + 21*u**4/2 + 1862. Suppose t(z) = 0. Calculate z.
-1, 0, 21
Let f(b) be the first derivative of b**3/7 - 957*b**2/14 - 1926*b/7 - 3683. Factor f(g).
3*(g - 321)*(g + 2)/7
Let l(u) = -2*u**3 + 3*u**2. Let y(o) = 447*o**3 - o**2 + 6*o**4 - 446*o**3 - 7*o**4. Let x(q) = -l(q) - 3*y(q). Factor x(d).
d**3*(3*d - 1)
Factor 1286 - 118 - 1166*g + 299*g**2 - 301*g**2.
-2*(g - 1)*(g + 584)
Let d(m) = 5*m**5 - 46*m**4 - 26*m**3 + 148*m**2 - 70*m + 11. Let t(k) = k**3 - 2*k - 1. Let w(b) = 4*d(b) + 44*t(b). Let w(f) = 0. Calculate f.
-2, 0, 1, 46/5
Let f(k) be the third derivative of 51*k**5/100 - 23*k**4/40 + k**3/5 - 578*k**2. Let f(z) = 0. Calculate z.
2/17, 1/3
Suppose 3*d = -u, -4*d - 15*u + 2 = -14*u. Factor -1/5*r**4 + 2/5*r**3 - 2/5*r + 0 + 1/5*r**d.
-r*(r - 2)*(r - 1)*(r + 1)/5
Let a(k) be the second derivative of 0 + 841/2*k**2 + 53*k - 29/3*k**3 + 1/12*k**4. Factor a(q).
(q - 29)**2
Let r(q) be the third derivative of -q**7/14 + 49*q**6/40 + q**5 - 49*q**4/2 + 2*q**2 + 6. Let r(a) = 0. What is a?
-2, 0, 2, 49/5
Let j(h) = 4*h**2 - h + 4. Let o(q) = -q**2. Let n(i) = -j(i) - 5*o(i). Let b be n(-3). Factor -g**3 + b*g**2 + 2*g**2 - g**4 - 7*g + 0*g**3 + 11*g.
-g*(g - 2)*(g + 1)*(g + 2)
Let p(h) be the third derivative of 0*h - 1/4*h**4 - 108*h**2 - 9/2*h**3 + 0 - 1/180*h**5. Find y, given that p(y) = 0.
-9
Let l = 123 - 121. Solve 20*h + 0*h**2 + 60 - 9*h**l - h**2 + 5*h**2 = 0 for h.
-2, 6
Let b(y) be the third derivative of 7/6*y**5 + 65*y**2 + 1/24*y**6 + 0 + 0*y + 125/24*y**4 + 10*y**3. Factor b(v).
5*(v + 1)**2*(v + 12)
Let f(l) = 102*l**2 - 2199*l + 345. Let p(i) = -69*i**2 + 1466*i - 231. Let k(s) = -15*f(s) - 21*p(s). Determine x, given that k(x) = 0.
4/27, 27
Let f be (-2)/(-7)*(-35)/(-145). Let h = f - -52/87. Factor h*k**5 - 2/3*k**4 + 2/3*k**2 + 16/3*k - 10/3*k**3 + 8/3.
2*(k - 2)**2*(k + 1)**3/3
Let x(c) = 15*c - 222. Let y be x(15). Let v be (-18)/(-52) - (-130)/845. Factor 0 + r**y + 3/2*r**2 + v*r.
r*(r + 1)*(2*r + 1)/2
Suppose -2*b = 5*c - 4*b - 15, -2*b + 3 = c. Suppose -4*h + 8 = -f, -5*h = h + f - 12. Solve -3*j**3 + 2*j**3 + 2*j**c - j**h = 0.
0, 1
Let n(g) = -g**3 - g**2 - 2*g - 1. Let a(p) = p**3 + 97*p**2 + 346*p + 333. Let b(o) = -a(o) + 3*n(o). Factor b(r).
-4*(r + 2)**2*(r + 21)
Let c be (-1)/(-4) + (-641)/12820. Solve -2/5*h**2 + 0 + 0*h + c*h**3 = 0.
0, 2
Let j(i) be the first derivative of i**3/9 + 12*i**2 + 432*i + 579. Factor j(p).
(p + 36)**2/3
Determine c, given that 5/4*c**5 + 343/2*c**2 + 22*c**4 + 106*c**3 - 99/2 + 147/4*c = 0.
-11, -3, -1, 2/5
Suppose 7*q - 585 = -8*q. Suppose q*m - 28*m = 0. Factor m - 3/5*i**3 + 12/5*i**2 - 12/5*i.
-3*i*(i - 2)**2/5
Let s(v) be the first derivative of -v**4/36 - 5*v**3/6 - 6*v**2 + 72*v + 38. Let m(y) be the first derivative of s(y). Solve m(w) = 0 for w.
-12, -3
Factor c**4 - 1162101*c**2 - 3*c**3 - 80*c + 44*c**3 + 1162139*c**2.
c*(c - 1)*(c + 2)*(c + 40)
Find a, given that -5/3*a**3 - 12325*a - 12615 + 865/3*a**2 = 0.
-1, 87
Let c = 6 - 49. Let v = 49 + c. Factor 32*s + 18*s**2 + 16 - v*s**2 + 8*s**2 + 4*s**3.
4*(s + 1)*(s + 2)**2
Factor 27*f - 308 + 96*f - 157*f - 4*f**2 - 190*f - 88*f.
-4*(f + 1)*(f + 77)
Let r(l) be the third derivative of -l**5/30 - 53*l**4/12 + 110*l**3/3 + 3*l**2 + 52. Factor r(b).
-2*(b - 2)*(b + 55)
Suppose -2*h - 5*f - 52 = -0*h, 2*f + 109 = -5*h. Let d be 85 + (-7)/h*(-1 - -1). Let -87 - 5*l**3 - 7*l - 9*l**2 + d - l**4 + 0*l**2 = 0. Calculate l.
-2, -1
Let d(g) be the second derivative of g**5/20 - 73*g**4/12 + 350*g**3/3 - 558*g**2 + 247*g - 3. Factor d(i).
(i - 62)*(i - 9)*(i - 2)
Solve -440*d**2 - 84*d**2 + 8665479*d**4 - 629*d**3 - 8665468*d**4 + 116*d = 0.
-1, 0, 2/11, 58
Suppose 24*u - 22*u - 4 = 0. Let -12*n + 110*n**4 - 2*n**u + 4*n**3 + 103*n**4 - 212*n**4 + 9 = 0. Calculate n.
-3, 1
Let g(c) be the second derivative of -c**6/72 - 5*c**5/8 - 35*c**4/12 - 5*c**3/3 + 14*c. Let w(h) be the second derivative of g(h). Factor w(l).
-5*(l + 1)*(l + 14)
Let x(v) be the second derivative of -v**5/20 - 25*v**4/6 - 46*v**3/3 + 97*v**2 - 14*v - 8. Let w be x(-48). Factor 18/7*u - 3/7*u**w - 27/7.
-3*(u - 3)**2/7
Let o = 2892 + -2890. Let p(z) be the first derivative of 2*z**3 - 7 + 3*z**o + 1/4*z**6 - 3/5*z**5 - 9/8*z**4 + 0*z. Let p(h) = 0. What is h?
-1, 0, 2
Suppose 4*l - 2*n + 5*n - 11 = 0, n + 7 = 4*l. Let 2000 - 704*f + 3*f**l + 2*f**2 + 504*f = 0. What is f?
20
Let t be (8 - 6) + (-12)/2. Let o(y) = -y**3 - 3*y**2 + 5*y + 6. Let g be o(t). Solve -6*j**g + 4 - 1 - 18*j**3 + 18*j**3 + 3*j**4 = 0.
-1, 1
Let j(v) be the second derivative of -6859*v**6/195 + 11191*v**5/13 - 5814*v**4/13 + 3656*v**3/39 - 128*v**2/13 - 7*v + 13. What is f in j(f) = 0?
2/19, 16
Let d be -1 + 5 + 1 + 7. Suppose 0 = h - 14*n + 16*n - 10, d = h + 3*n. Let -4/3 - h*m - 8/3*m**2 = 0. What is m?
-2, -1/4
Let h(w) = w**3 + 10*w**2 + 6*w. Let u be h(-10). Let o = u - -167. Factor o + 112 + 4*s + 2*s**2 - 225.
2*(s - 1)*(s + 3)
Let o(d) be the first derivative of -1200*d - 8*d**3 + 12*d**3 + 0*d**3 + 60*d**2 + 64 - 5*d**3. Factor o(y).
-3*(y - 20)**2
Let y = -70691/60 + 4713/4. Let f(h) be the second derivative of 2/27*h**4 - y*h**5 - 1/27*h**3 + 4/135*h**6 + 40*h - 1/189*h**7 + 0*h**2 + 0. Factor f(a).
-2*a*(a - 1)**4/9
Let n(q) be the third derivative of -q**5/180 + 7*q**4/24 - 34*q**3/9 - q**2 + 3*q - 26. Factor n(w).
-(w - 17)*(w - 