+ -34)/(6/(-200)). Let -18/7*o**2 - 60/7*o - w = 0. Calculate o.
-5/3
Let z be ((-188)/799)/(15*6/(-153)). Factor 0 - 8/5*l**3 + z*l**4 + 2*l**2 - 4/5*l.
2*l*(l - 2)*(l - 1)**2/5
Suppose 3*k = 2*g - 3, k = 2*g - 0*k - 5. Let 0*n - 2*n - 3*n + 6*n**g - n**3 = 0. Calculate n.
-1, 0, 1
Let n(h) = 2508 + 2809 + 406 - 44*h**2 - 708*h + 4*h + 741. Let x(a) = -8*a**2 - 141*a + 1293. Let l(z) = -3*n(z) + 16*x(z). Let l(m) = 0. What is m?
18
Let d be 7729/2537 + 16/(-344). Let p(j) be the second derivative of 22*j - 1/3*j**4 + 4*j**d + 14*j**2 + 0. Factor p(v).
-4*(v - 7)*(v + 1)
Determine o, given that 167*o**2 + 8 - 662*o**2 + 164*o**2 + 160*o**2 + 169*o**2 = 0.
-2, 2
Let g(n) be the first derivative of -n**3/8 + 75*n**2/8 - 1575*n/8 + 5237. Factor g(q).
-3*(q - 35)*(q - 15)/8
Let q(s) be the second derivative of -s**5/100 - 29*s**4/30 - 109*s**3/30 + 84*s**2/5 + s - 4717. Factor q(x).
-(x - 1)*(x + 3)*(x + 56)/5
Let n(r) be the third derivative of -r**5/30 - 187*r**4/12 + 1015*r**2 - 2*r. Factor n(u).
-2*u*(u + 187)
Suppose 0 = v - 5*p + 6*p + 4, 12 = -4*v - 3*p. Let w be (v + (-4)/12)*-9. Factor a**w - 13*a**2 + 2*a**3 - a**3 + a**2 + 10*a.
2*a*(a - 5)*(a - 1)
Let r(z) be the third derivative of -z**6/480 + 39*z**5/80 - 19*z**4/4 + 113*z**3/6 - 38*z**2 + 11. Suppose r(b) = 0. What is b?
2, 113
Determine q, given that 11*q**2 + 289*q + 4*q**2 - 10404 + 119*q - 19*q**2 = 0.
51
Let c(p) be the second derivative of 36*p + 2 + 4/21*p**3 - 3/7*p**2 - 1/42*p**4. Factor c(h).
-2*(h - 3)*(h - 1)/7
Let -46/13*l**2 - 20/13*l**3 + 2/13*l**4 + 0 - 24/13*l = 0. Calculate l.
-1, 0, 12
Let b = 0 + 1. Let o = 59 - 63. Let j(y) = -y**5 + y**2 - y. Let g(k) = -3*k**5 - 2*k**4 - 2*k**3 + 8*k**2 - 3*k - 2. Let m(v) = b*g(v) + o*j(v). Factor m(c).
(c - 2)*(c - 1)**2*(c + 1)**2
Suppose 4*n = 3*r + 14, -736 = -3*n + 2*r - 726. Factor 2/3*m**n + 10/3*m - 4.
2*(m - 1)*(m + 6)/3
Let o(h) = -4*h**4 + 11*h**3 - 38*h + 22. Let f(s) = -11*s**4 + 33*s**3 + s**2 - 113*s + 66. Let x(a) = 3*f(a) - 8*o(a). Solve x(c) = 0 for c.
-2, 1, 11
Let q be (-3828)/(-385) + -10 + (-45)/(-700). Let c(i) be the third derivative of 0*i - 5/56*i**4 + 0 + 3/7*i**3 - 18*i**2 + q*i**5. Factor c(f).
3*(f - 3)*(f - 2)/7
Let q(o) be the third derivative of -67*o**7/840 + 23*o**6/80 - o**5/20 + 37*o**4/8 + 173*o**2. Let r(v) be the second derivative of q(v). Factor r(f).
-3*(f - 1)*(67*f - 2)
Let m(w) be the first derivative of w**3/2 + 2055*w**2/4 + 1026*w + 513. Factor m(x).
3*(x + 1)*(x + 684)/2
Find o, given that 3/8*o**3 + 0 + 51*o**2 + 384*o = 0.
-128, -8, 0
Let z(i) be the third derivative of i**5/15 + 124*i**4 + 92256*i**3 - 415*i**2 - 1. Factor z(d).
4*(d + 372)**2
Solve -1013*x**2 + 765*x - 3*x**3 + 739*x**2 + 520*x**2 = 0 for x.
-3, 0, 85
Let o(n) be the third derivative of -1/10*n**5 + 0*n**3 + 1 + 0*n - 5/24*n**4 + 24*n**2 - 1/120*n**6. Suppose o(r) = 0. Calculate r.
-5, -1, 0
Factor 3/5*g**3 - 699*g - 1158/5*g**2 - 2334/5.
3*(g - 389)*(g + 1)*(g + 2)/5
Let j(o) be the first derivative of -8/9*o**3 - 1/3*o**4 + 0*o + 2/15*o**5 + 8/3*o**2 + 86. Suppose j(k) = 0. What is k?
-2, 0, 2
Let l = -233239/8 + 29201. Let t(r) be the second derivative of -37*r + 0 - 243/4*r**2 + 3/16*r**5 + 11/2*r**4 + l*r**3. Factor t(p).
3*(p + 9)**2*(5*p - 2)/4
Let c(j) be the third derivative of j**8/1008 - 23*j**7/315 - 251*j**6/360 - 17*j**5/15 - 3405*j**2 + 2. Suppose c(p) = 0. What is p?
-4, -1, 0, 51
Let d(k) = 248*k + 20834. Let t be d(-84). Determine v, given that 12/7*v**4 + 0 - 46/7*v**3 + 4*v**t + 6/7*v = 0.
-1/6, 0, 1, 3
Let q be (714/(-18))/17*1/((-273)/18). Solve q*h**2 - 22/13 - 20/13*h = 0.
-1, 11
Suppose -12*m = -32*m + 160. Let p(h) be the second derivative of -4 - 1/8*h**5 + m*h - 1/9*h**3 + 0*h**2 - 17/72*h**4. Factor p(r).
-r*(3*r + 1)*(5*r + 4)/6
Let b be (-15)/(-20)*8 + -1 + -3. Find z, given that -30*z**3 - b*z - 22*z**2 - 18*z**2 - 8*z + 5*z**5 + 0*z - 5*z = 0.
-1, 0, 3
Let d(i) be the second derivative of i**7/84 + i**6/5 + 9*i**5/8 + 29*i**4/12 + 2*i**3 + 1603*i. Suppose d(c) = 0. Calculate c.
-6, -4, -1, 0
Let s(b) be the second derivative of b**7/18900 + b**6/1800 - b**5/90 + 9*b**4/2 - b**2 - 27*b - 1. Let h(p) be the third derivative of s(p). Factor h(c).
2*(c - 2)*(c + 5)/15
Let a = 50 + -38. Let v be -2*a*(-60)/48. Let -v - 30*h**2 - h**3 - 4*h**3 + 2*h**3 - 2*h**3 - 55*h = 0. Calculate h.
-3, -2, -1
Let l(w) = 2*w**2 + 6*w + 10. Suppose -32*v - 6 = -33*v. Let g(m) = -2*m**2 - 6*m - 11. Let i(o) = v*g(o) + 7*l(o). Factor i(y).
2*(y + 1)*(y + 2)
Let r(a) be the first derivative of 3/50*a**5 - 4 + 0*a + 0*a**3 + 1/75*a**6 + 1/30*a**4 - 15/2*a**2. Let x(v) be the second derivative of r(v). Factor x(o).
2*o*(o + 2)*(4*o + 1)/5
Let i = -53625 + 53627. Factor 51/2*t + 1/4*t**i + 2601/4.
(t + 51)**2/4
Suppose 1/2*w**3 - 95*w**2 - 8836 + 4606*w = 0. What is w?
2, 94
Suppose 0 = -8*b - 158 + 278. Suppose -20*y + b*y + 20 = 0. Factor 2662/5 - 64/5*n**3 - 2/5*n**y - 1936/5*n - 132*n**2.
-2*(n - 1)*(n + 11)**3/5
Let o = -1721 - -1727. Let i(v) be the third derivative of 0*v**4 + 0*v**3 + 0 + 0*v**o + 0*v + 9*v**2 + 1/40*v**5 - 1/140*v**7. Solve i(t) = 0.
-1, 0, 1
Factor -1/2*y + 0 + 1/2*y**3 + 0*y**2.
y*(y - 1)*(y + 1)/2
Let n(h) be the second derivative of -h**7/14 - 6*h**6/5 - 63*h**5/10 - 13*h**4 - 21*h**3/2 + h + 2258. Find z, given that n(z) = 0.
-7, -3, -1, 0
Suppose 3*m - 3*j = -8*j - 4, 0 = 2*m - j - 6. Factor -16*x**2 - 15*x**2 + x**3 - 14*x**m - 11*x**2 + 52*x**2.
x**2*(x - 4)
Let n(p) be the third derivative of -p**6/120 + 1967*p**5/180 + 2627*p**4/72 + 73*p**3/2 + 19*p**2 - p + 3. Factor n(j).
-(j - 657)*(j + 1)*(3*j + 1)/3
Let h = -62756/315 + 7074/35. What is t in h*t**2 + 2/9*t**4 - 8/3*t - 4/3*t**3 + 8/9 = 0?
1, 2
Let f(p) be the first derivative of 16*p**5/5 + 61*p**4/5 + 4*p**3/5 + 2382. Factor f(u).
4*u**2*(u + 3)*(20*u + 1)/5
Let k be 63/(-1836) - (-78)/663. Let t(x) be the first derivative of -37/3*x**3 + 17*x**2 - 12*x + k*x**6 - 2 + 39/8*x**4 - x**5. Factor t(d).
(d - 3)*(d - 2)**3*(d - 1)/2
Let t(z) = z**2 - 19*z + 16. Let g(h) = 70 + 69 - 138. Let c(p) = 6*g(p) + 3*t(p). Factor c(k).
3*(k - 18)*(k - 1)
Determine i, given that -52 - 88/9*i - 4/9*i**2 = 0.
-13, -9
Suppose 1538 + 5094 = -8*r. Let j = r + 15753/19. Factor 0 + j*s**2 + 0*s + 0*s**3 - 2/19*s**4.
-2*s**2*(s - 1)*(s + 1)/19
Suppose -4*t + 16 = 4*y - 0, -4*y - 2 = -2*t. Let j = -82 + 84. Factor 84 - 2*m**2 - j*m**t - 84 - 4*m**2.
-2*m**2*(m + 3)
Suppose 7*o + 465 = 1732. Factor o*b**2 + 167*b**2 - 148*b**2 + 140*b - 15*b**3.
-5*b*(b - 14)*(3*b + 2)
Let i(u) be the first derivative of u**3/2 - 651*u**2/2 + 141267*u/2 + 19. Determine t so that i(t) = 0.
217
Determine v so that -4*v**2 - 83*v - 239*v - 91*v - 828 - 118*v - 301*v = 0.
-207, -1
Factor -62*w + 29*w**2 + 124*w**3 - 17 + 17 - 127*w**3 - 24.
-(w - 6)*(w - 4)*(3*w + 1)
Let 9*j**5 - 129*j**4 - 9*j**3 + 129*j**2 + 106*j - 128*j + 22*j = 0. What is j?
-1, 0, 1, 43/3
Let -110*o**2 + 0 + 2/3*o**4 - 328/3*o**3 + 0*o = 0. What is o?
-1, 0, 165
Suppose 56 = 5*t - 2*n, -1031*t + 3*n = -1027*t - 70. Suppose -6 + 8*v - 2/3*v**t + 4/3*v**2 - 8/3*v**3 = 0. What is v?
-3, 1
Let j(p) = -4*p**3 + 48*p**2 + 1420*p - 24. Let y(a) = a**3 - 22*a**2 - 284*a + 5. Let l(w) = -5*j(w) - 24*y(w). Suppose l(g) = 0. Calculate g.
0, 1, 71
Suppose 2637*u - 123 = 2596*u. Determine c so that 2*c + 2/9*c**u + 4/3*c**2 + 0 = 0.
-3, 0
Let k = -362 - -344. Let u be k/4*(65/(-15))/13. Factor u*b - 1 - 1/2*b**2.
-(b - 2)*(b - 1)/2
Let m(j) = j**3 + 13*j**2 + j - 10. Let z be m(-13). Let y = z + 26. Factor -10*t**2 - 6*t - 3*t + 4*t - 8*t**y - 2*t**4 + t.
-2*t*(t + 1)**2*(t + 2)
Let i(y) be the third derivative of 2/9*y**4 - 1/135*y**5 - 8/3*y**3 + 0*y + 20*y**2 + 0. Factor i(l).
-4*(l - 6)**2/9
Let w = 3236 - 3236. Let d(t) be the third derivative of -1/216*t**4 + 0*t**3 + 0 + w*t + 1/1080*t**6 + 2*t**2 + 0*t**5. Factor d(z).
z*(z - 1)*(z + 1)/9
Let w(s) be the third derivative of 15 + 0*s - 2/105*s**7 + 0*s**3 + 0*s**4 - 2/5*s**6 - 2*s**2 + 0*s**5. Factor w(d).
-4*d**3*(d + 12)
Let m be (-27 - (-59536)/2112) + (-34)/(-561). Find s, given that -m - 1/4*s**2 - 3/2*s = 0.
-5, -1
Let j = -87550 + 87554. Determine m, given that -3/8*m**5 - 3/2*m**2 + 9/8*m**3 + 3/4*m**j + 0 - 3/2*m = 0.
-1, 0,