*o - 170 + 5*o**4 - 227*o**2 + 368*o**3.
(o - 34)*(o + 1)**2*(o + 5)
Let c(p) be the first derivative of 5*p**3/12 + 2025*p**2 + 3280500*p + 604. Suppose c(s) = 0. Calculate s.
-1620
Let g(f) be the first derivative of 0*f + 2/5*f**3 + 1/20*f**4 - 7/10*f**2 + 51. Suppose g(u) = 0. Calculate u.
-7, 0, 1
Let m = 792619/308238 + -1/44034. What is f in 2/7*f**2 + 0 + m*f = 0?
-9, 0
Let o(i) be the first derivative of i**8/112 + 11*i**7/70 + 3*i**6/5 - i**5/5 - 4*i**4 + 5*i**2/2 + 68. Let x(t) be the second derivative of o(t). Factor x(a).
3*a*(a - 1)*(a + 2)**2*(a + 8)
Let c(r) = -10*r - 75. Let o be c(-9). Determine a, given that 5*a**3 + 15*a + 0*a**2 - 25*a**2 - o*a = 0.
0, 5
Suppose 15*m - 10*m - 4120 = 0. Let -4*c**2 + 48*c - 76 - m + 72*c = 0. Calculate c.
15
Let p(x) = -x + 33. Let g be p(29). Solve -40*i - g*i**2 - 100 - 2*i**2 + 11*i**2 = 0.
-2, 10
Let l(j) = j**3 - 3*j + 23. Let x be l(0). Factor 8 - 1 + 4*y**4 - x - 12*y**2 + 32*y - 8*y**3.
4*(y - 2)*(y - 1)**2*(y + 2)
Factor -2/7 + 54*b**2 - 120/7*b.
2*(3*b - 1)*(63*b + 1)/7
Let a = -149332 - -746682/5. Factor 2*h + 6/5 + 6/5*h**3 - a*h**2.
2*(h - 3)*(h - 1)*(3*h + 1)/5
Suppose 3*p - p = -3*b - 18, 0 = -b - 2*p - 10. Let u be b/(-10) + (-39)/(-15). Solve -5*f**2 - 3*f**3 - 5 - 3 + 8*f**u - 7 - 25*f = 0 for f.
-1, 3
Let u(g) = -g**3 - 6*g**2 + 2*g - 33. Let t be u(-7). Factor -3*r + 14*r + 16*r + 256 + r**t + 5*r.
(r + 16)**2
Let j = -399354 + 248797467/623. Let z = 2/89 - j. Factor 0 + 2/7*d + z*d**2.
d*(d + 2)/7
Let i(b) = 3*b - 18. Let d be i(15). Factor -2*h**2 - d*h + 115*h - 71 - 499 - 398.
-2*(h - 22)**2
Let m(i) be the third derivative of -i**5/12 - 565*i**4/12 - 1120*i**3/3 - 5579*i**2. Determine x so that m(x) = 0.
-224, -2
Let g be 0/(-1 + 0/1). Suppose 3*x + 0*x + s - 4 = g, -5*s = -4*x + 18. Factor -16 + 6*h - 10 - x*h**3 - 17 + 39.
-2*(h - 1)**2*(h + 2)
Let d(j) be the third derivative of 0*j**3 + 28*j**2 + 1/3*j**5 + 0*j + 5/42*j**7 + 1 - 5/336*j**8 - 1/3*j**6 + 0*j**4. Solve d(g) = 0.
0, 1, 2
Let h(b) be the second derivative of -b**5/20 - 17*b**4/12 - 38*b**3/3 - 30*b**2 - 1866*b. Factor h(k).
-(k + 1)*(k + 6)*(k + 10)
Let b(x) be the third derivative of -x**5/120 + 169*x**4/144 - 14*x**3/9 + 2*x**2 + 673*x. Factor b(q).
-(q - 56)*(3*q - 1)/6
Suppose w - 5*n - 945 = 429, 6896 = 5*w + n. Let m = w + -12386/9. Let 0*o**4 + m*o**5 + 0*o**2 + 0 + 0*o - 4/9*o**3 = 0. Calculate o.
-2/5, 0, 2/5
Let g(n) = -399*n**3 - 2051*n**2 - 1566*n - 394. Let x(a) = -67*a**3 - 342*a**2 - 261*a - 66. Let d(s) = -6*g(s) + 35*x(s). Let d(h) = 0. Calculate h.
-6, -3/7
Factor -4*f**2 + 0 + 0*f + 13/3*f**3.
f**2*(13*f - 12)/3
Suppose j = 4*r + 3 - 0, -j = -5*r - 3. Let m(d) be the second derivative of 0*d**5 + 0 + 0*d**6 + 0*d**4 + 0*d**2 + 1/168*d**7 + 4*d + 0*d**j. Factor m(u).
u**5/4
Let s be (-15 + 22)/(21/6). What is d in -17*d - 7*d + 0*d - 3*d - 12*d + 19*d**2 + s = 0?
1/19, 2
Let t(x) be the third derivative of -x**6/210 + 37*x**5/210 - 101*x**4/42 + 272*x**3/21 + 3*x**2 - 1130. Let t(s) = 0. What is s?
2, 8, 17/2
Solve -294849/8 + 543/4*t - 1/8*t**2 = 0.
543
Let y(q) be the second derivative of -1/18*q**4 - 41*q + 20/3*q**3 - 300*q**2 + 0. Let y(f) = 0. What is f?
30
Let j be (520/(-24))/13 + (-77)/84*-4. Factor 2/3 - 2/9*x**j + 4/9*x.
-2*(x - 3)*(x + 1)/9
Let b(x) = 242*x**2 - 8*x - 8. Let f be b(-2). Factor 3*a**3 - f - 224 - 316*a + 1396*a + 117*a**2.
3*(a - 1)*(a + 20)**2
Suppose 28/3*q + 0 - 1/3*q**2 = 0. Calculate q.
0, 28
Let i(b) be the first derivative of -179 + 3/4*b**4 - 10*b**3 + 63/2*b**2 + 0*b. Find c such that i(c) = 0.
0, 3, 7
Let d(s) = s**3 + s**2 + 3*s - 1. Let n(j) = j**3 + 43*j**2 + 46*j + 82. Let z(v) = 2*d(v) - n(v). Let m be z(42). Factor m + 1/7*k**3 - 2/7*k**2 + 0*k.
k**2*(k - 2)/7
Suppose 19 = 2*h + 3*g, 4*g = 4*h + 5*g - 13. Factor 4*n**4 + 4*n**3 + n**4 - 16*n - n + n - 16*n**h - n**4.
4*n*(n - 2)*(n + 1)*(n + 2)
Find s, given that -20*s**4 + 0*s**2 + 51*s**3 - 5*s**5 - s**2 + 3*s**5 - 85*s**3 - 15*s**2 = 0.
-8, -1, 0
Let h(l) be the second derivative of -2*l**6/15 - 4*l**5/5 + 7*l**4 + 4*l - 337. Determine z so that h(z) = 0.
-7, 0, 3
Suppose -27*j - 64 + 128 - 64 = 0. Let r(h) be the first derivative of j*h + 0*h**2 + 1/4*h**4 + 1/20*h**5 - 3 + 1/3*h**3. Factor r(y).
y**2*(y + 2)**2/4
Let l be 165/(-35) - -5 - 6/(540/(-96) - 4). Suppose -8/11*p**2 + 2/11*p**3 - l*p + 0 = 0. Calculate p.
-1, 0, 5
Let f(t) be the third derivative of t**8/504 - 46*t**7/315 - t**6/90 + 46*t**5/45 + t**4/36 - 46*t**3/9 + 3746*t**2. Find x, given that f(x) = 0.
-1, 1, 46
Factor -3*y**2 + 3/8*y**3 + 0 - 459/8*y.
3*y*(y - 17)*(y + 9)/8
Let g = 968 - 964. Let f(o) be the third derivative of 1/12*o**5 + 0 + 1/12*o**4 + 1/40*o**6 - 1/336*o**8 + 0*o - 1/210*o**7 + 0*o**3 + g*o**2. Factor f(p).
-p*(p - 2)*(p + 1)**3
Suppose 48 = -3*y - 5*t, 5*t + 68 = 242*y - 240*y. Factor -3 - 9/2*q + 3/2*q**y + 3/2*q**2 + 9/2*q**3.
3*(q - 1)*(q + 1)**2*(q + 2)/2
Let i(y) = 18*y**2 - 1473*y + 498. Let n(q) = -29*q**2 + 2948*q - 995. Let k(h) = 13*i(h) + 6*n(h). Determine z so that k(z) = 0.
7/20, 24
Factor 373321/5*p**3 - 32/5 - 1952*p - 741754/5*p**2.
(p - 2)*(611*p + 4)**2/5
Let g = 23 - 21. Let r(y) be the first derivative of -8*y**3 - 11*y**2 + 0*y**g + 5*y**2 - 3 - 15*y + 9*y**3. Factor r(u).
3*(u - 5)*(u + 1)
Let -92/5*n**2 + 134/5*n**3 - 8*n**4 + 0*n + 0 - 2/5*n**5 = 0. Calculate n.
-23, 0, 1, 2
Let k(l) be the first derivative of -l**5 - 35*l**4/2 - 40*l**3 + 184. Factor k(c).
-5*c**2*(c + 2)*(c + 12)
Determine u so that -113*u**3 + 164268 + 3*u**4 - 537*u**2 + 11*u**3 + 207172*u - 183304*u = 0.
-9, 26
Let z(u) = -11*u**2 + 59*u - 202. Let x(r) = -300*r**2 + 1590*r - 5455. Let a be ((-12)/(-21))/(7 - 376/56). Let l(m) = a*x(m) - 55*z(m). Solve l(v) = 0.
5, 8
Suppose -10789*r = -10760*r - 116. Factor -90/7*o**2 - 54/7*o**3 - 6/7*o**r - 6*o + 0.
-6*o*(o + 1)**2*(o + 7)/7
Solve -3445*j + 3450*j**2 + 2295/2 + 5/2*j**4 - 1155*j**3 = 0.
1, 459
Solve -5*w**3 - 3577*w**2 - 29231 - 264500*w + 1277*w**2 + 29231 = 0.
-230, 0
Let d be (-110)/(-30) - (-1)/3. Let w(h) be the second derivative of 3/40*h**5 + 0 + 0*h**3 - 15*h + 1/8*h**d + 0*h**2. Determine p so that w(p) = 0.
-1, 0
Suppose 5*u - 12 = 5*q - 7, -3*q = 5*u - 13. Factor -3*o**2 + 64 - 124*o - o**u + 100*o.
-4*(o - 2)*(o + 8)
Let a be (-1358)/(-3) - 8/(-24). Suppose -4*o**2 - 432 - a + 8*o + 917 = 0. What is o?
-2, 4
Let q(b) be the third derivative of b**5/180 - b**4/2 - 13*b**3/2 + b**2 - 6*b - 4. Factor q(y).
(y - 39)*(y + 3)/3
Let a(v) be the first derivative of v**2/2 - v - 53. Let s(q) = -4*q**2 - 14*q + 10. Let p(l) = 4*a(l) + s(l). Factor p(b).
-2*(b + 3)*(2*b - 1)
Suppose 13 = 26*g - 39. Let t be -1 - -3 - -25 - 2. Factor 10*l - 5*l**4 + 15 - t*l**g + 20*l**3 - 15.
-5*l*(l - 2)*(l - 1)**2
Let f(g) be the third derivative of -2*g**7/63 - 11*g**6/45 - 13*g**5/45 + 14*g**4/9 + 8*g**3/3 + 44*g**2 - 36. Suppose f(u) = 0. Calculate u.
-3, -2, -2/5, 1
Let w(z) be the second derivative of -1/100*z**5 + 0*z**2 - 3*z + 3/20*z**4 - 1 - 4/15*z**3. Factor w(q).
-q*(q - 8)*(q - 1)/5
Let s(c) = c**3 - c - 525 + 1054 - 531 + 2*c**2. Let y(i) = 3*i**3 + 6*i**2 - 3*i - 6. Let h(l) = -22*s(l) + 6*y(l). Factor h(q).
-4*(q - 1)*(q + 1)*(q + 2)
Let w be (0 - -2)*-2*(-10)/(-20). Let i be (-101 - -91)*w*(-1)/(-55). Determine n, given that 2/11*n - 4/11*n**2 - 2/11*n**3 + i = 0.
-2, -1, 1
Suppose 2*m - 8 = -3*b, 2*m + b - 4 = -0*m. Suppose 0 = 4*w - 2*x - 13 - m, 2*x = 3*w - 12. Factor 1/4*z**3 + 9 - 11/4*z**w + 6*z.
(z - 6)**2*(z + 1)/4
Determine g so that 8*g + 1155/4*g**5 + 0 - 125*g**3 + 181/2*g**4 - 26*g**2 = 0.
-2/3, -2/5, 0, 2/11, 4/7
Let a(q) be the second derivative of -q**6/45 + q**5/6 - 7*q**4/18 + q**3/3 - 196*q. What is z in a(z) = 0?
0, 1, 3
Let t be 0 - -6 - (-3 + (2 - -1)). Factor -30*v + 200*v**2 + 392*v**2 - 1750*v**5 - 2040*v**3 - 28*v + 3100*v**4 - t*v.
-2*v*(5*v - 2)**3*(7*v - 4)
Let v(c) = 46*c**2 - 5*c + 9. Let i(d) = -8*d**2 + d - 3. Let b(z) = 34*i(z) + 6*v(z). Factor b(n).
4*(n - 3)*(n + 4)
Let z(x) be the first derivative of 14/15*x**3 + 3/10*x**4 - 17 + 0*x - 6/5*x**2. Find i such that z(i) = 0.
-3, 0, 2/3
Let i(g) = -19*g**4 - 82*g**3 + 191*g**2 - 148*g + 16. Let c(u) = -14*u**4 - 55*u**3 + 128*u**2 - 99*u + 10. Let k(d) = 7*c(d