059037*s**3/4 - 1787*s**2. Determine a so that z(a) = 0.
-477
Let i = -61 + 64. Factor 10*y**i - 30*y**3 + 13*y**3 + 2*y**3 + 20*y.
-5*y*(y - 2)*(y + 2)
Let o(w) = w**3 - 33*w**2 + 5*w - 74. Let r be o(33). Suppose 95*b**3 + 188*b**3 + 2187*b - r*b**3 - 1296*b**2 = 0. What is b?
0, 27/8
Let b(l) be the third derivative of -l**7/42 - 5*l**6/24 + 5*l**5/3 + 25*l**4/2 - 120*l**3 + 4324*l**2 - 2*l. Suppose b(y) = 0. Calculate y.
-6, -4, 2, 3
Find g, given that -24 - 2/11*g**2 - 136/11*g = 0.
-66, -2
Let m = -29847 + 89545/3. Find a, given that 2/3*a**4 + m*a**3 - 16/3*a - 8/3*a**2 + 0 = 0.
-2, 0, 2
Let y(a) = a**2 + 6*a + 2. Let s be y(-6). Let v = 42983/57300 - 2/14325. Find o such that 9/4*o**s + 3/2*o - v*o**4 + 0 + 0*o**3 = 0.
-1, 0, 2
Let y = 26/3355 - -2658/3355. Factor 0 - y*r + 4/5*r**2.
4*r*(r - 1)/5
Let q(r) = 5*r**2 + 951*r + 1918. Let y(g) = 32*g**2 + 6656*g + 13424. Let u(a) = 20*q(a) - 3*y(a). Suppose u(p) = 0. Calculate p.
-2, 239
Let l(f) = -4*f**2 - 28*f + 7. Let h be l(-5). Suppose 0 = -28*c + h + 9. Solve 5/4*i + 1/4*i**c + 1 = 0 for i.
-4, -1
Factor 1/10*t**2 + 4/5*t**3 + 0 - 1/5*t + 1/2*t**4.
t*(t + 1)**2*(5*t - 2)/10
Let l(z) = 166*z**2 - 25060*z + 15700078. Let q(v) = -97*v**2 + 15036*v - 9420047. Let j(n) = -7*l(n) - 12*q(n). Solve j(h) = 0.
1253
Suppose -65 = -2*z + 2*d - 43, z - 4*d = 29. Let s(x) be the first derivative of -3/2*x**4 + 9*x**2 + 27/2*x + 3/10*x**z - x**3 + 5. Factor s(y).
3*(y - 3)**2*(y + 1)**2/2
Let j(f) be the first derivative of f**5/20 - 153*f**4/8 + 203*f**3/4 - 38*f**2 - 4692. Factor j(q).
q*(q - 304)*(q - 1)**2/4
Let y(j) be the second derivative of -j**4/6 - 15*j**3 + 826*j**2 - 5944*j. Let y(l) = 0. What is l?
-59, 14
Let x(y) be the second derivative of 5*y**4/12 + 665*y**3/6 + 975*y**2 + 3298*y. Let x(t) = 0. What is t?
-130, -3
Suppose 4 = -b - q, 0 = 12*b - 13*b + 4*q + 11. Let l(z) = -4*z**4 + 17*z**2 - 17*z. Let v(j) = j**5 - j**2 + j. Let r(s) = b*l(s) - v(s). Factor r(c).
-c*(c - 2)**3*(c + 2)
Let 30 - 10*f**3 + 11*f**2 + 580*f - 2*f**2 - 531*f + f**3 + f**4 = 0. What is f?
-1, 5, 6
Suppose 23*s - 27 - 19 = 46. Let d(y) be the second derivative of -4/5*y**5 + 0 + 1/6*y**s + 8/3*y**3 + 0*y**2 - 1/15*y**6 + 13*y. Find g such that d(g) = 0.
-8, -1, 0, 1
Suppose 38*t = 2*x + 37*t - 12, 2*x - 36 = 4*t. What is d in -7/2*d**x - 3/2*d - 1/2*d**4 + 0 - 5/2*d**3 = 0?
-3, -1, 0
Let v = 56581 - 282873/5. What is s in 2/5*s**2 - 34/5 + v*s = 0?
-17, 1
Let o(w) = 36*w**2 + 1837*w + 51. Let m be o(-51). Let 2/7*h**5 + m*h + 0 + 2/7*h**4 - 2/7*h**3 - 2/7*h**2 = 0. What is h?
-1, 0, 1
Let b be 180/(-255)*(-1802)/371. Solve b*v**4 - 8*v**3 + 8/7 + 64/7*v**2 - 4/7*v**5 - 36/7*v = 0.
1, 2
Suppose -2*t - 2*w = 0, -2*t + 7*t + 3*w - 4 = 0. Factor -14*z - 5171*z**t - 40 + 5167*z**2 - 30*z.
-4*(z + 1)*(z + 10)
Let d(v) be the third derivative of -166*v**2 + 0*v + 0 - 4/3*v**4 + 6*v**3 - 1/15*v**5. Factor d(r).
-4*(r - 1)*(r + 9)
Let b(v) be the third derivative of v**8/504 - 557*v**7/315 - 559*v**6/60 - 1679*v**5/90 - 140*v**4/9 - 2122*v**2 + 2*v. Find t such that b(t) = 0.
-1, 0, 560
Let d = 1293299/3832 + 1/3832. Determine h, given that 45*h**3 + 3/2*h**5 + d*h - 45/2*h**4 + 285*h**2 + 243/2 = 0.
-1, 9
Let m(v) be the third derivative of v**5/100 - 4*v**4/5 + 128*v**3/5 - 2*v**2 - 6. Solve m(u) = 0 for u.
16
Let p(j) be the second derivative of -4*j**6/15 + 34*j**5/5 + j**4/2 - 2714*j**3/3 - 2645*j**2 - j + 13. What is i in p(i) = 0?
-5, -1, 23/2
Factor -34/7*h**2 + 72/7 - 2/7*h**3 + 40/7*h.
-2*(h - 2)*(h + 1)*(h + 18)/7
Suppose -21*i = -26*i - 5*h + 520, 2*i = -5*h + 220. Factor -i - 4*s**2 + 28*s + 4*s + 8*s.
-4*(s - 5)**2
Suppose 884 = -3*d - 4*f - 2661, 3*d + 5*f + 3550 = 0. Let i = d + 1178. Suppose 24/7*t - 4/7*t**2 - 6/7*t**i - 16/7 + 2/7*t**4 = 0. What is t?
-2, 1, 2
Let f be -93*(8/32 - (-7)/(-12)). Suppose -542 + 521 - 44*j + 4*j**5 - 29*j + 81*j**3 + 40*j**4 - f*j**2 = 0. Calculate j.
-7, -3, -1/2, 1
Let o(a) = 2*a**2 - 31*a - 15. Let q(y) = -2*y**2 + 32*y + 15. Let i(n) = -4*o(n) - 3*q(n). Let j be i(12). Suppose 12*v + 92 - j - 2*v**2 - 45 = 0. What is v?
2, 4
Suppose -4*a = 20*b - 21*b - 113, 5*b = 15. Suppose 0 = 12*w - 77 + a. What is d in -4/7*d**2 - 8/7*d + 8/7*d**3 + 6/7 - 2/7*d**w = 0?
-1, 1, 3
Let g(v) be the first derivative of 3*v**5/5 - 15*v**4/2 - 97*v**3 + 15*v**2 + 288*v - 113. Determine o, given that g(o) = 0.
-6, -1, 1, 16
Let u(c) = -3*c**2 + 876*c - 17337. Let r(w) = w**2 - 220*w + 4334. Let b(k) = 9*r(k) + 2*u(k). Factor b(v).
3*(v - 38)**2
Let g(s) be the first derivative of s**4/24 + 14*s**3/9 + 25*s**2/12 - 9*s + 1497. Factor g(r).
(r - 1)*(r + 2)*(r + 27)/6
Let a(l) = -8*l**3 - 232*l**2 + 476*l - 240. Let b(v) = 15*v**3 + 463*v**2 - 950*v + 479. Let j(g) = 7*a(g) + 4*b(g). Factor j(w).
4*(w - 1)**2*(w + 59)
Let k = -2065 + 2067. Let x(g) be the second derivative of -2/3*g**3 - 1/12*g**4 + 2*g - k*g**2 + 0. Factor x(q).
-(q + 2)**2
Let x = 1/258697 - -2328268/1293485. What is r in 1/5*r**2 - 2 - x*r = 0?
-1, 10
Let p(y) be the first derivative of -20 + 0*y**2 + 5/33*y**3 + 1/110*y**5 + 1/11*y**4 - 22*y. Let w(n) be the first derivative of p(n). Solve w(d) = 0 for d.
-5, -1, 0
Let c(f) be the first derivative of -f**5/10 + 7*f**4/2 - 143*f**3/3 + 315*f**2 - 2025*f/2 - 309. Let c(h) = 0. Calculate h.
5, 9
Let j = -81 + 72. Let s be (j/(-18))/((-2)/(-8)). Factor -1 - 3 + 518*o - 524*o - 2*o**s.
-2*(o + 1)*(o + 2)
Suppose -39*o**3 + 30*o**2 - 6*o + 7*o**2 - 4*o**2 - 412*o**4 + 212*o**4 + 212*o**4 = 0. Calculate o.
0, 1/4, 1, 2
Suppose -19*k + 16*k = -102. Suppose 2*l - 42 = -4*j + 80, -4*l + k = j. Find c, given that -7*c**2 + 35*c - j*c + 2*c**2 + 10 = 0.
-1, 2
Suppose 3 = -3*h + 3*o, 0 = 2*h + 11*o - 10*o - 7. Let x(v) be the first derivative of -3*v**3 + 0*v + 3/4*v**4 - 6*v**h - 19. Factor x(f).
3*f*(f - 4)*(f + 1)
Let a(s) be the second derivative of -3*s - 289/20*s**5 - 4*s**2 - 70/3*s**3 + 23 - 323/6*s**4. Let a(d) = 0. What is d?
-2, -2/17
Let d(o) be the third derivative of 1/60*o**6 + 1/4*o**4 - 1/105*o**7 + 1/6*o**5 + 0*o + 0*o**3 + 12 - 2*o**2. Factor d(b).
-2*b*(b - 3)*(b + 1)**2
Let z(k) be the second derivative of -2*k**6/15 + 9*k**5/5 + 11*k**4 + 70*k**3/3 + 24*k**2 - 337*k + 1. Solve z(b) = 0.
-1, 12
Factor 1/4*o**3 - 603/4*o - 5*o**2 - 1539/2.
(o - 38)*(o + 9)**2/4
Find j, given that 60*j**4 + 524*j - 145*j**3 - 98*j**2 + 38*j**2 - 384*j + 5*j**5 = 0.
-14, -1, 0, 1, 2
Suppose -774*g + 777*g - 42 = -4*a, 0 = -2*a + 4*g - 34. Factor -36*u - 3/2*u**a + 33/2*u**2 + 0.
-3*u*(u - 8)*(u - 3)/2
Let h(w) = 5*w**2 + 640*w + 637. Let d(r) = -21*r**2 - 2559*r - 2547. Let v(u) = -2*d(u) - 9*h(u). Factor v(b).
-3*(b + 1)*(b + 213)
Suppose -2/15*g**2 + 36 + 2/5*g = 0. Calculate g.
-15, 18
Let x be (7 + (-152)/56)/(-48*60/(-4480)). Factor -50/3 - x*f - 2/3*f**2.
-2*(f + 5)**2/3
Let n(k) be the second derivative of k**7/560 - 9*k**6/160 + 47*k**5/160 - 15*k**4/32 - 38*k**2 - k + 4. Let b(f) be the first derivative of n(f). Factor b(h).
3*h*(h - 15)*(h - 2)*(h - 1)/8
Let j(l) be the second derivative of 3*l**5/100 + 11*l**4/10 - 101*l**3/10 + 117*l**2/5 + 2151*l. Suppose j(f) = 0. What is f?
-26, 1, 3
Let b(v) = -v**3 - 1. Let k(a) = -5*a**3 - 3*a**2 + a - 1. Suppose -15*t + 2 = -17*t. Let o(u) = t*k(u) + 4*b(u). Find q such that o(q) = 0.
-3, -1, 1
What is f in -1880/11*f - 224 + 14*f**3 + 2/11*f**4 - 24/11*f**2 = 0?
-77, -2, 4
Suppose 3*v + v + 4*m = -4, v - 2*m - 11 = 0. Factor 3*l**v + 2*l - 6*l + l**3.
4*l*(l - 1)*(l + 1)
Let r = -1260905 + 1260908. Factor 3/5*v - 1/5 - 3/5*v**2 + 1/5*v**r.
(v - 1)**3/5
Suppose -2*m + 857 + 455 = 0. Let n = m - 4589/7. Suppose -3/7*r + n*r**2 - 6/7 = 0. What is r?
-1, 2
Let -1/2*k**3 + 117*k + 324 + 3/2*k**2 = 0. What is k?
-12, -3, 18
Solve 192/11 - 18/11*l**5 + 512/11*l + 94/11*l**3 + 444/11*l**2 - 48/11*l**4 = 0 for l.
-2, -4/3, -1, 3
Let s(t) be the third derivative of -5*t**8/336 + t**7/14 + t**6/3 - t**5 - 10*t**4/3 + t**2 + 104*t - 5. Solve s(v) = 0.
-2, -1, 0, 2, 4
Let h = -323 - -325. Find x, given that 6 + 4*x**3 + 4*x - 13 + 7 + 54*x**3 + 62*x**h = 0.
-1, -2/29, 0
Suppose 33815 = -16*c + 33847. Let -2/11*m**c + 24/11 - 8/11*m = 0. What is m?
-6, 2
What is h in 3*h**2 - 33/4*h + 3/4*h**3 - 45/2 = 0?
-5, -2, 3
Determine d, giv