 ((-4)/3)/(4/(-9)). Suppose -5*c = x*i - 12, 3*c + 1 = -4*i + 6. Solve -3*d**c + 0 - 9/2*d**2 + 3*d = 0.
-2, 0, 1/2
Let x = 92/2505 - -59108/27555. Solve x*w + 6*w**3 + 252/11*w**2 - 336/11 - 6/11*w**4 = 0.
-2, 1, 14
Let h(n) be the third derivative of -n**8/210 + 44*n**7/1575 + 193*n**6/900 - 74*n**5/225 - n**4/12 + 2*n**3/5 - 19*n**2 + 1. Determine y so that h(y) = 0.
-3, -1/3, 1/2, 6
Suppose 2*r + 71198 = 71202. Factor 135*g**r + 39*g - 21/4*g**3 + 0.
-3*g*(g - 26)*(7*g + 2)/4
Let f(o) = 16*o**2 + 67*o + 1222. Let r(w) = 40*w + 5*w**2 - 5 - 41*w - 6 + 10. Let t(i) = -f(i) + 3*r(i). What is s in t(s) = 0?
-35
Let n(h) be the third derivative of -8*h + 1/6*h**4 + 0 + 0*h**5 - 1/120*h**6 - 2/3*h**3 - 3*h**2 + 1/840*h**7. Factor n(c).
(c - 2)**3*(c + 2)/4
Let f(o) be the second derivative of -o**5/5 - 4*o**4 + 512*o**2 - 12804*o. Determine l, given that f(l) = 0.
-8, 4
Let g(a) = 21*a - 2. Let j be g(-2). Let f be (-8)/20 + j/(-10). Let 4*s**3 + 17*s**4 + 0*s**4 - 6*s**4 - 7*s**4 - 4*s**5 - f*s**2 = 0. What is s?
-1, 0, 1
Let d(o) be the third derivative of o**6/360 - o**5/45 - 29*o**4/72 - 4*o**3/3 + 7184*o**2. Factor d(t).
(t - 8)*(t + 1)*(t + 3)/3
Let d(g) be the third derivative of -g**5/120 - 803*g**4/48 + 67*g**3 + g**2 - 18*g - 17. Factor d(n).
-(n - 1)*(n + 804)/2
Let p be (15/2 + -4)/(3/(-6)). Let d be (16 + -7 + p)/((-12)/(-14)). Factor -7/3*c**3 + 2/3 - 2/3*c**2 + d*c.
-(c - 1)*(c + 1)*(7*c + 2)/3
Let a(d) be the first derivative of 1/4*d**3 + 15 + 3/16*d**4 - 9/4*d**2 + 0*d. Factor a(y).
3*y*(y - 2)*(y + 3)/4
Let d(j) be the first derivative of -2*j**3/33 + 17*j**2/11 - 84*j/11 + 3209. Suppose d(n) = 0. Calculate n.
3, 14
Let q = 833239/126 + -6613. Let j(b) be the third derivative of 5/18*b**4 - 5/72*b**6 + q*b**7 - 9*b**2 + 1/6*b**5 - 20/9*b**3 + 0*b + 0. Factor j(v).
5*(v - 2)**3*(v + 1)/3
Let d = 19526 + -19522. Solve -16/11*m**3 + 6/11*m**2 + 4/11*m + 0 + 6/11*m**d = 0.
-1/3, 0, 1, 2
Suppose 4*p = -m + 26, 0*p + 2*p = -4*m + 20. Let c be 33/22*16/p. Factor -7*q**4 - 3*q**3 - q**3 + q**5 - c*q**2 - 6*q**4 + 14*q**4.
q**2*(q - 2)*(q + 1)*(q + 2)
Let t = -60715/48 - -2169/16. Let a = t + 1130. Determine l so that 0 - 1/3*l**4 + 1/3*l**2 - a*l + 2/3*l**3 = 0.
-1, 0, 1, 2
Let a(k) be the third derivative of k**7/1680 + k**6/20 - 17*k**5/40 + 13*k**4/12 + 52*k**2. Factor a(n).
n*(n - 2)**2*(n + 52)/8
Solve 33*h - 356*h**2 + 703*h**2 + 32*h**3 - 27 - 352*h**2 - 33*h**3 = 0.
-9, 1, 3
Let w(s) be the second derivative of -7/9*s**3 + 3*s + 1/18*s**4 + 1 + 4*s**2. Let w(k) = 0. What is k?
3, 4
Let l be 676/150*228/399. Let j = -2/525 + l. Factor -3/7*z**3 + j*z + 0 - 3/7*z**2.
-3*z*(z - 2)*(z + 3)/7
Find p, given that 326*p - 38629 - 276*p + 14329 - 3*p**2 + 490*p = 0.
90
Let h = -12 - -36. Suppose h*t - 28*t = -12. Factor t*d**2 + 72*d - 18*d**3 - 6 + 5*d**4 - 2*d**4 + 54.
3*(d - 4)**2*(d + 1)**2
Suppose 2*d - 5*y = d + 29, -2*d + y = -94. Let j = -241/5 + d. What is g in 2/5*g**4 + j*g**2 - 6/5 + 8/5*g**3 - 8/5*g = 0?
-3, -1, 1
Let m(o) = -6*o**2 + 12*o - 50. Let g(l) = -10*l**2 + 24*l - 101. Let f(n) = 4*g(n) - 7*m(n). Factor f(i).
2*(i - 3)*(i + 9)
Factor -1/4*y**2 + 157/4*y + 79/2.
-(y - 158)*(y + 1)/4
Factor 1/8*d**2 - 75/4*d - 151/8.
(d - 151)*(d + 1)/8
Suppose -13 = 6*g - 31. Suppose -832*c**2 - 559 + 22*c**3 + 2359 + 6060*c + 6*c**g = 0. What is c?
-2/7, 15
Let u be (15/(-6))/(-7 - 78/(-12)). Suppose -u*b = 3*y - 26, -27 = -5*y - 4*b - 1. What is h in -1/2 - h**3 + 1/2*h - 1/2*h**4 + 1/2*h**5 + h**y = 0?
-1, 1
Factor 2/5*q**4 + 56448/5 + 328/5*q**3 + 12776/5*q**2 - 55104/5*q.
2*(q - 2)**2*(q + 84)**2/5
Factor -164268 - 1/3*d**2 - 468*d.
-(d + 702)**2/3
Suppose 520*z + 8032 = 11152. Factor 3*o**3 + z + 31*o + 56/3*o**2.
(o + 3)**2*(9*o + 2)/3
Let j(f) be the third derivative of -f**5/60 + 295*f**4/24 + 148*f**3/3 + 97*f**2. Factor j(a).
-(a - 296)*(a + 1)
Let s(y) be the first derivative of 0*y**2 + 27*y**4 - 19 + 36/5*y**5 + 0*y**3 + 1/2*y**6 + 0*y. Factor s(j).
3*j**3*(j + 6)**2
Let i(y) = 17*y + 9. Let q be i(-2). Let f = -21 - q. Suppose 5*m**2 - 4*m - f*m - 9*m**2 = 0. What is m?
-2, 0
Let v = 29601 + -29599. Factor -60/7*z - 2/7*z**v - 450/7.
-2*(z + 15)**2/7
Let k(w) be the second derivative of 0*w**2 - 17 + 2*w**3 + 1/5*w**5 - 4/3*w**4 + 2*w. Suppose k(p) = 0. What is p?
0, 1, 3
Let s = -472 + 989. Let p = s + -515. Factor 0 - 4/7*v + 4/7*v**p.
4*v*(v - 1)/7
Factor 19606923 - 136*b**2 - 125*b**2 - 13832*b - 135*b**2 + 400*b**2 - 7649159.
4*(b - 1729)**2
Let f(d) = -d**2 + 3*d - 45. Let l be f(4). Let x be -9 + (-273)/l + 4. Solve -x*w**2 - 2/7*w**4 + 6/7 - 8/7*w**3 + 8/7*w = 0.
-3, -1, 1
Let v(l) be the second derivative of -1/30*l**3 + 1/150*l**6 - 1/210*l**7 + 61*l - 1/30*l**4 + 1/10*l**2 + 1/50*l**5 + 0. Factor v(o).
-(o - 1)**3*(o + 1)**2/5
Let u(x) be the second derivative of 3*x**4/34 + 172*x**3/51 + 19*x**2/17 - 10067*x. Factor u(w).
2*(w + 19)*(9*w + 1)/17
Suppose -2/11*z**2 + 0 + 18/11*z = 0. What is z?
0, 9
Factor -5/3*x**3 + 28160/3 + 2240/3*x - 50/3*x**2.
-5*(x - 22)*(x + 16)**2/3
Suppose -5*o + 3*u - 2108 = -9624, 5*o = u + 7512. Let a = o - 1498. Find f such that -a*f - 8/3*f**2 - 3/2 = 0.
-3/4
Let b be -5*(60/25 - 3). Suppose 90*g - 52 + 14 = 71*g. Factor 0 + 1/4*i**b + 3/4*i**g + 0*i.
i**2*(i + 3)/4
Let k(h) be the third derivative of -h**7/1155 - 14*h**6/165 - 279*h**5/110 - 243*h**4/22 - 646*h**2. Find f such that k(f) = 0.
-27, -2, 0
Let y(v) be the third derivative of -1/30*v**4 - 20*v**2 - 4/75*v**5 - 1/420*v**8 + 1/75*v**6 + 4/15*v**3 + 4/525*v**7 + 3 + 0*v. Suppose y(w) = 0. Calculate w.
-1, 1, 2
Let u(q) = 2*q**2 - 48*q + 114. Let m be u(21). Let z be 11/(-4) - 1*m/3. Factor 5/4*l - 5/4*l**3 + z*l**2 - 5/4.
-5*(l - 1)**2*(l + 1)/4
Let q = 158 + -80. Let a = q - 73. Factor -137*r**2 - 160*r - 39*r**3 - 23*r**2 - 11*r**3 - a*r**4.
-5*r*(r + 2)*(r + 4)**2
Let v(p) = p**3 - 19*p**2 + 62*p - 7. Let n be v(15). Let d = -23 + n. Factor 1/4*k**5 + 13/4*k**3 - 3/2*k**4 - 3*k**2 + d + k.
k*(k - 2)**2*(k - 1)**2/4
Let p = -1618 + 1620. Let g(d) be the second derivative of 0*d**p + 7*d + 0 - 2/39*d**3 + 1/78*d**4. Let g(a) = 0. What is a?
0, 2
Let w(t) = 3*t**2 + 3*t - 10. Let b be 4/(-6) - 80/(-30). Suppose c + 6 = b. Let l(q) = -6*q**2 - 6*q + 21. Let y(a) = c*l(a) - 9*w(a). Let y(i) = 0. What is i?
-2, 1
Factor 6*l**3 - 132/7*l**2 + 0 - 3/7*l**4 + 120/7*l.
-3*l*(l - 10)*(l - 2)**2/7
Let y = 344 + -596. Let b = y - -2774/11. Solve 2/11*d**2 + 0 + b*d - 2/11*d**4 - 2/11*d**3 = 0 for d.
-1, 0, 1
Suppose 3*b - 10 = m, 3*m + 18 - 6 = 0. Let p = -3 + 5. Factor -6*r + 21*r + 3 + b + 10*r**p.
5*(r + 1)*(2*r + 1)
Let s(c) be the third derivative of 0*c**3 - 1/12*c**4 + 0*c + 1/336*c**8 + 1/70*c**7 + 1/120*c**6 - 1/20*c**5 + 0 + 34*c**2. Solve s(f) = 0 for f.
-2, -1, 0, 1
Let s(j) = -5*j**4 - 184*j**3 + 177*j**2 - 3*j - 3. Let d(n) = -52*n**4 - 2024*n**3 + 1948*n**2 - 32*n - 32. Let p(k) = 3*d(k) - 32*s(k). Factor p(u).
4*u**2*(u - 45)*(u - 1)
Let p = 385366 - 385231. Factor 10/3*n**3 + 0*n**2 - p*n**4 + 0*n + 0.
-5*n**3*(81*n - 2)/3
Let l(d) be the first derivative of -242/3*d - 33*d**2 - 1/6*d**4 + 14/3*d**3 + 24. Factor l(y).
-2*(y - 11)**2*(y + 1)/3
Let u(q) be the second derivative of -q**4/12 + 3*q**3 - 7*q**2/2 - 31*q. Let r be u(17). Factor -2*n**3 - 12 - r*n**2 + 12.
-2*n**2*(n + 5)
Find i such that -48 - 116/3*i + 10/9*i**3 + 94/9*i**2 = 0.
-12, -1, 18/5
Let o(x) = -x**2 - 7*x + 14. Let m be o(-7). Suppose -16*q = -m*q - 10. Solve 27*c**4 - 234*c**2 + 28*c**q - 4 + 95*c**2 + 40*c - 154*c**4 + 202*c**3 + 0*c = 0.
1/4, 2/7, 1, 2
Let 183 + 729/4*b - 3/4*b**2 = 0. What is b?
-1, 244
Let u(h) be the first derivative of h**6/24 + 3*h**5/20 + h**4/16 - h**3/4 - h**2/4 - 966. Let u(c) = 0. Calculate c.
-2, -1, 0, 1
Let c(k) be the third derivative of -k**5/330 + 39*k**4/44 + 118*k**3/33 + 403*k**2. Find b, given that c(b) = 0.
-1, 118
What is f in -184 + 0*f**4 - 48*f**3 + 109*f + 3*f**4 - 18*f**2 + 119*f - 68 + 87*f**2 = 0?
-2, 1, 3, 14
Let m(l) = -8*l**2 + 484*l - 485. Let j(p) = 9*p**2 - 482*p + 485. Let u(i) = -3*j(i) - 4*m(i). Determine n, given that u(n) = 0.
1, 97
Factor -143377*q - 137564*q - 74236*q + 102178*q - 236666*q**2 - 224481*q - 2*q**4 - 239432 + 1380*q**3.
-2*(q - 346)**2*(q + 1)**2
Let x(h) b