ne f, given that -5*f**3 - 2*f**2 - d*f + 7*f**a - 5 + 8*f = 0.
-1, 1
Let a = 44 + -28. Suppose 5*h + 6 - a = 0. Suppose -3*q - q**2 - q + 7*q + 4*q**h = 0. What is q?
-1, 0
Suppose 2*b - 7 + 9 = 0, 0 = -d - 2*b + 3. Solve 12 + 45*v**d + 18 + 289*v**2 - 30*v**4 - 310*v**3 - 99*v**2 - 215*v + 290*v**2 = 0 for v.
-3, 1/3, 1, 2
Let u = 15161/30346 - -6/15173. Determine t so that -39/2*t**2 - 56 + 76*t + u*t**4 - t**3 = 0.
-7, 1, 4
Suppose -50*i - 695720 = -701720. Let -6/11*a**4 - 600/11 - i*a - 12*a**3 - 846/11*a**2 = 0. Calculate a.
-10, -1
Let b(v) = -8*v - 101. Let x be b(-13). Suppose 5*f = -2*n - 5 + 1, -f = -x*n - 6. Suppose f - 4/3*d**2 - 4/3*d - 1/3*d**3 = 0. What is d?
-2, 0
Let j(b) be the first derivative of -11*b + 5/8*b**2 + 10 + 5/48*b**4 + 5/12*b**3. Let r(o) be the first derivative of j(o). Find v, given that r(v) = 0.
-1
Let a = -5613/16 - -2105/6. Let r(u) be the third derivative of a*u**4 + 1/240*u**5 + 24*u**2 + 0*u**3 + 0*u + 0. Factor r(d).
d*(d + 2)/4
Suppose -3*f + 4*c = 2*c - 232, -f = -5*c - 73. Let p be (-364)/f*1*(-8)/14. Let 0*n - 2/3*n**2 + p = 0. What is n?
-2, 2
Let i(j) be the third derivative of -j**7/105 + 52*j**6/15 - 5612*j**5/15 + 3536*j**4 - 13872*j**3 + 2*j**2 - 2*j - 15. Solve i(h) = 0.
2, 102
Let j(o) be the third derivative of 25 + 5/3*o**4 + 0*o**3 + 1/42*o**7 + o**2 + 0*o + 7/24*o**6 + 7/6*o**5. Factor j(n).
5*n*(n + 1)*(n + 2)*(n + 4)
Factor -687*k**2 + 336*k**2 + 8 + 1 + 336*k**2 + 42*k.
-3*(k - 3)*(5*k + 1)
Let b = -6579077/21 + 313293. Find m such that b*m**2 + 0 + 0*m + 2/21*m**3 = 0.
-38, 0
Let t(v) be the first derivative of -v**4/6 + 2216*v**3/3 - 1227664*v**2 + 2720503424*v/3 + 2553. Factor t(u).
-2*(u - 1108)**3/3
Let j(g) be the third derivative of -g**6/40 - 9*g**5/10 + 85*g**4/8 - 33*g**3 - 7*g**2 - 8*g. Solve j(y) = 0 for y.
-22, 1, 3
Let q(n) be the third derivative of n**6/360 + n**5/60 - n**4/2 - 6*n**3 + 959*n**2 + 2*n. Factor q(v).
(v - 6)*(v + 3)*(v + 6)/3
Let a(s) be the first derivative of -s**3/3 + 839*s**2/2 + 5829. Let a(p) = 0. Calculate p.
0, 839
Suppose -3*o - y = -2378, -4*y = -3*o - y + 2370. Let i = o + -2374/3. Solve -2/9*x**2 + 8/9 + i*x = 0 for x.
-1, 4
Factor -11 - 71/5*i - 1/5*i**3 - 17/5*i**2.
-(i + 1)*(i + 5)*(i + 11)/5
Factor -16815/4*s - 4203/4 - 3*s**2.
-3*(s + 1401)*(4*s + 1)/4
Let i(c) be the third derivative of 0 + 29/6*c**4 + 7/15*c**5 - 77*c**2 + 0*c + 16*c**3. Factor i(u).
4*(u + 3)*(7*u + 8)
Suppose 16 = 31*a + 7*a + 16. Let f(p) be the third derivative of a*p + 0 + 1/160*p**6 + 1/16*p**4 - 3/80*p**5 + 0*p**3 - 13*p**2. Factor f(q).
3*q*(q - 2)*(q - 1)/4
Let m(l) be the first derivative of -l**3/5 + 1149*l**2/5 - 440067*l/5 - 1234. Suppose m(c) = 0. Calculate c.
383
Let t(i) be the third derivative of -11*i**6/24 + 89*i**5/6 - 20*i**4/3 + 463*i**2. Factor t(g).
-5*g*(g - 16)*(11*g - 2)
Let b = -553696 + 553701. Solve -60*m - 272/3*m**3 - 100/3 - 7/12*m**b + 514/3*m**2 + 53/4*m**4 = 0.
-2/7, 1, 2, 10
Suppose -9/5*i**3 - 4/5*i - 7/10*i**4 + 0 - 1/10*i**5 - 2*i**2 = 0. What is i?
-2, -1, 0
Let c(j) = 5*j**2 - 1292*j + 386884. Let p(g) = 14*g**2 - 3864*g + 1160652. Let y(f) = 11*c(f) - 4*p(f). Factor y(t).
-(t - 622)**2
Let z(d) = -d**3 - 8*d**2 + 98*d + 53. Let c be z(7). Suppose -2/3*g**2 + 14/3 + c*g = 0. What is g?
-1, 7
Let u be (-28)/((6/(-3) - 0) + 1). Let 45*w**2 + 33 + 27 - 15*w**3 - u + 115*w + 28 - 5*w**4 = 0. Calculate w.
-4, -1, 3
Let c be (1 + 0 + 0)/(4/36). Suppose 57 - c = 4*i. Factor 38*v**4 + 9*v**3 + i*v**2 - 86*v**4 + 45*v**4.
-3*v**2*(v - 4)*(v + 1)
Let 2/21*z**4 + 80/7*z - 22/7*z**3 + 172/21*z**2 + 0 = 0. What is z?
-1, 0, 4, 30
Suppose -4*p = -4*j + 132, 3*j = 2*p + 111 - 9. Factor -2676*a**5 + 18*a**4 - j*a**3 + 2673*a**5 + 30*a**2 - 11*a + 2*a.
-3*a*(a - 3)*(a - 1)**3
Suppose 354 - 1464 = -37*b. Factor -55*w - b - 15*w**2 + 6*w**3 + 7914*w**4 - 7909*w**4 + 9*w**3.
5*(w - 2)*(w + 1)**2*(w + 3)
Let c(g) be the first derivative of g**3/9 + g**2/6 - 2*g/3 + 1550. Find d such that c(d) = 0.
-2, 1
Let p(r) = -r**2 + r + 1. Let v(w) = -w**3 - 43*w**2 + 84*w - 35. Suppose 13 = -2*m + 3*h, -3*h = m - 2*m - 8. Let x(y) = m*p(y) + v(y). Factor x(j).
-(j - 1)**2*(j + 40)
Let 12*z**2 - 141 - 503 - 5930*z + 7858*z = 0. What is z?
-161, 1/3
Determine j so that 1/5*j**3 - 9/5*j**2 - 48/5*j + 448/5 = 0.
-7, 8
Let j(l) be the second derivative of 1/4*l**4 + 3/20*l**5 - l**3 + 0*l**2 - 4*l + 0. Find h, given that j(h) = 0.
-2, 0, 1
Let l(q) be the first derivative of -q**5/80 + 3*q**4/16 - 5*q**3/6 + 3*q**2/2 - 28*q + 102. Let j(o) be the first derivative of l(o). Factor j(f).
-(f - 6)*(f - 2)*(f - 1)/4
Let k be (-6324)/660 + -8 + (-720)/(-88) - -10. Let y = -89/5 + 19. Factor y - 9/5*z + 0*z**2 + k*z**3.
3*(z - 1)**2*(z + 2)/5
Suppose -m + 0*y - 6 = -4*y, 0 = -5*m - 2*y + 14. Factor 3*j**3 - 7*j**3 + 12*j + 7*j**3 + 0*j**m + 12*j**2.
3*j*(j + 2)**2
Let g be (-310 - 53)*(-1)/(-18)*-4. Suppose 6 - g*v**3 + 374/3*v**2 - 50*v = 0. What is v?
3/11, 1
Let j(f) be the third derivative of -181/3*f**5 + 0*f - 39/14*f**7 - 869/12*f**6 + 31*f**2 + 0 - 5/168*f**8 + 725/2*f**4 + 4205/6*f**3. Solve j(c) = 0 for c.
-29, -1, -1/2, 1
Let t = -148938 - -297879/2. Determine i so that 336*i - 216 + 36*i**3 - 180*i**2 - t*i**4 = 0.
2, 18
Let d = -138422 + 138424. Factor 9/5*q**2 - 1/5*q**3 + 0 + d*q.
-q*(q - 10)*(q + 1)/5
Let d(x) = 20*x**4 + 192*x**3 + 568*x**2 - 1720*x + 956. Let n(f) = 13*f**4 + 128*f**3 + 378*f**2 - 1147*f + 638. Let w(h) = 5*d(h) - 8*n(h). Factor w(k).
-4*(k - 1)**2*(k + 9)**2
Suppose 2*g + 2*z + 16 = 5*g, 5*g = -5*z - 15. Let p = 16 + -7. Factor -15*u**4 + p*u**4 + 4*u**4 - 2*u**3 + g*u**2 + 2*u**5.
2*u**2*(u - 1)**2*(u + 1)
Suppose 141 = -q + 3*b, -4*q - 3*b - 345 = 264. Let f = q + 152. Factor 2*k**2 - 1 - 10*k**4 - f*k**4 + 3*k**4 + 8*k**4.
-(k - 1)**2*(k + 1)**2
Let v = 69 - 68. Suppose -3*c + 5 + v = 0. Let 3*n**c - 3*n**4 + 5*n**5 - n**5 + 2*n - n**3 - 5*n**5 = 0. Calculate n.
-2, -1, 0, 1
Suppose -9*w + 6*w + 18 = -3*t, -w - 4 = 4*t. Let h be (2 - 2/t) + 21/(-21). Factor -2/7*s**h + 6/7 - 4/7*s.
-2*(s - 1)*(s + 3)/7
Let m(h) = 2*h**3 + 42*h**2 + 119*h + 200. Let k be m(-18). Factor -912/7*c - 2/7*c**5 - 438/7*c**3 - 288/7 - 1010/7*c**k - 54/7*c**4.
-2*(c + 1)**3*(c + 12)**2/7
Let c(a) = -189*a**3 - 771*a**2 - 951*a - 168. Let f(b) = 27*b**3 + 110*b**2 + 136*b + 24. Let z = -257 + 230. Let g(j) = z*f(j) - 4*c(j). Factor g(d).
3*(d + 2)**2*(9*d + 2)
Factor 479/9*h - 80/3*h**2 + 2/9.
-(h - 2)*(240*h + 1)/9
Let k = -5/181 - -2291/10860. Let h(i) be the third derivative of 0 + 0*i - 1/300*i**6 - k*i**4 - 1/25*i**5 - 2/5*i**3 + 22*i**2. Factor h(m).
-2*(m + 1)*(m + 2)*(m + 3)/5
Let k(v) be the third derivative of v**2 - 1/210*v**5 - 64*v - 1/84*v**4 + 0*v**3 + 0. Factor k(p).
-2*p*(p + 1)/7
Let l = 748 + -561. Let 59*q**3 + 57*q**3 + 146*q**2 + 12321*q + 54*q**3 + l*q**2 + 151959 - 167*q**3 = 0. What is q?
-37
Let j = -138 + 141. Factor -8*z + 12*z**3 + 22*z**2 - 3*z**j + 0*z**5 + 2*z**4 + 2*z**5 - 27*z**3.
2*z*(z - 1)**3*(z + 4)
Let -109/4*s**3 + 1/4*s**4 + 0*s - 84*s**2 + 0 = 0. Calculate s.
-3, 0, 112
Let x(l) be the first derivative of -l**6/300 + l**5/75 + l**4/20 + 72*l**2 - 158. Let i(y) be the second derivative of x(y). Determine z, given that i(z) = 0.
-1, 0, 3
Let q be (15/35)/((-6)/(-105)). Suppose -3*z = 6196 - 6205. Factor 3*n**2 + 3 - 6*n**4 + 6*n**z - q*n + 3/2*n**5.
3*(n - 2)*(n - 1)**3*(n + 1)/2
Let k(x) = -52*x**2 - 47*x - 224. Let g be k(-6). Let a = g + 1826. Determine r so that -a - 3*r + 3/2*r**2 = 0.
-2, 4
Let v(o) be the first derivative of o**5/10 + o**4/16 - 13*o**3/12 + 3*o**2/4 + 740. Factor v(s).
s*(s - 2)*(s + 3)*(2*s - 1)/4
Let w = -395 + 398. Find j such that -125000 - 197*j**2 + 65*j**2 - 3*j**3 - 18*j**2 - 7500*j + 2*j**w = 0.
-50
Let x be (12362/(-10596))/((-14)/24). Factor 1/2*f**3 - 9/2*f**x - 15/2 + 23/2*f.
(f - 5)*(f - 3)*(f - 1)/2
Let x(u) = -5*u**4 + 9*u**3 + 9*u**2 - 5*u - 20. Let p(b) = 13*b**4 - 19*b**3 - 16*b**2 + 11*b + 41. Let j(t) = 6*p(t) + 15*x(t). Factor j(q).
3*(q - 1)*(q + 2)*(q + 3)**2
Let z be 72/168*16 + 1 + -1. Solve -z*j + 57/7*j**2 - 15/7*j**3 - 12/7 = 0 for j.
-1/5, 2
Determine g, given that 0 - 205/2*g + 5/2*g**2 = 0.
0, 41
Let z(l) = -3*l**2 - 397*l + 91. Let j(q) = 4*q**2 - 398*q +