 = -16*y**3 + 23*y**2 + 1162*y + 1753. Let d(b) = -10*m(b) + 39*w(b). Factor d(r).
4*(r - 8)*(r + 2)*(r + 7)
Let a(h) be the third derivative of h**6/600 - h**5/30 - 13*h**4/30 - 28*h**3/15 + 1754*h**2. What is b in a(b) = 0?
-2, 14
Let v be (32 + -33)/(2/(-1874)). Let q = v + -3743/4. Determine d so that -q*d**2 + 5/4*d + 15/2 = 0.
-2, 3
Suppose 4*o = -4*j + j - 6, 3*o + j + 2 = 0. Let c be (-84)/8*(-88)/308. Factor -2/5*n**4 + 0 + 4/5*n**c + 0*n + o*n**2.
-2*n**3*(n - 2)/5
Let r(h) = -h - 6. Let b be r(-6). Let j be (-15)/9*(12/10)/(-1). Factor 2*p**4 - 6*p**3 + 9*p - j*p**2 - 5*p + 2*p**5 + b*p.
2*p*(p - 1)**2*(p + 1)*(p + 2)
Let x = 21868 - 21865. Solve 20/7*o**4 - 4/7 + 48/7*o**2 - 8*o**x - 8/7*o = 0 for o.
-1/5, 1
Let q(p) be the first derivative of -7*p**6/96 + 29*p**5/24 - 20*p**4/3 + 20*p**3/3 - 20*p**2 - 47. Let f(r) be the second derivative of q(r). Factor f(m).
-5*(m - 4)**2*(7*m - 2)/4
Let x(o) = 2*o**2 - 1857*o - 14984. Let m be x(-8). Let -4/3*w + m - 4*w**2 - w**4 - 11/3*w**3 = 0. Calculate w.
-2, -1, -2/3, 0
Suppose 52/3*t - 1/3*t**2 + 0 = 0. What is t?
0, 52
Let b(l) = -21*l**2 + 271*l + 16. Let s be b(13). Let v be 2 + -2 + s/(-45). Solve -v*q**3 - 2/9 - 2/3*q**2 - 2/3*q = 0 for q.
-1
Let b(d) be the first derivative of -d**9/1008 + d**8/70 - d**7/40 + 79*d**3/3 - 65. Let y(i) be the third derivative of b(i). Factor y(w).
-3*w**3*(w - 7)*(w - 1)
Suppose 17*l - 833 + 578 = 0. Let n(k) = k**3 - 18*k**2 + 50*k - 65. Let a be n(l). Solve -62/5*y**2 + 34*y - a + 6/5*y**3 = 0 for y.
1/3, 5
Let j(a) be the first derivative of a**6/21 - 4*a**5/5 + 33*a**4/14 + 32*a**3/3 + 64*a**2/7 + 2211. Find k, given that j(k) = 0.
-1, 0, 8
Suppose 0 = 12*j + 28*j - 80. Factor -413*x**2 - 397*x**j - 7*x**3 - 9*x - x**4 + 827*x**2.
-x*(x - 1)**2*(x + 9)
Suppose -80*y = -71*y - 495. Determine r, given that 5*r**3 + 5*r**2 - y*r - 110*r + 250 + 65 = 0.
-7, 3
Factor 596/5 + 2/5*g**2 - 598/5*g.
2*(g - 298)*(g - 1)/5
Let h(t) be the third derivative of t**6/30 - t**5/15 - 7*t**4/3 + 16*t**3 + 493*t**2 - 4*t. Suppose h(y) = 0. Calculate y.
-4, 2, 3
Let f be (-6)/(-4)*((-11)/(-6))/(-1). Let w = f - -63/20. Factor 4/5 - w*d - 2/5*d**2.
-2*(d - 1)*(d + 2)/5
Suppose -3*c = -3*i + 12, -7*c = 4*i - 5*c - 28. Let m be i/22*(-48)/(-18). Factor -50/11*l**2 + 18/11*l**3 + 24/11*l + m.
2*(l - 2)*(l - 1)*(9*l + 2)/11
Suppose 2*z = -5*g - 0*z, -3*g - 3*z = 9. Suppose 10 - g = 4*j. Let -8*a**4 + a**3 - a**4 + 2*a**3 + j*a**2 + 4*a**2 = 0. Calculate a.
-2/3, 0, 1
Let t(b) be the first derivative of -1/2*b**4 - 4*b + b**2 - 15 + 4/3*b**3. What is n in t(n) = 0?
-1, 1, 2
Let -292*u**2 - 429*u**3 - 40*u + 33*u**3 + 0*u**3 = 0. Calculate u.
-5/9, -2/11, 0
Determine f so that -38 + 47 + 58*f**2 + 12*f - 55*f**2 = 0.
-3, -1
Let t(k) = 6*k**3 - 792*k**2 - 1554*k - 788. Let w(s) = s**3 + s**2 + 5*s + 1. Let o(v) = t(v) - 8*w(v). Factor o(n).
-2*(n + 1)**2*(n + 398)
Let b(f) = 29*f - 22 - 63*f + 32*f. Let p be b(-15). Find l such that -20*l**4 - 2*l**5 + 20*l - p*l**3 - 7*l**3 + 20*l**2 - 3*l**5 = 0.
-2, -1, 0, 1
Let t(o) be the third derivative of 0*o**4 + 1/3600*o**6 + 0*o**5 + 11/6*o**3 + 0 + 0*o + 12*o**2. Let z(d) be the first derivative of t(d). Factor z(h).
h**2/10
Factor -1/2*l**2 - 65*l + 0.
-l*(l + 130)/2
Let w be 5/(-4) - 28956/(-22352). Let k(x) be the first derivative of 0*x - w*x**4 - 2/11*x**3 - 22 + 4/11*x**2. Let k(m) = 0. Calculate m.
-4, 0, 1
Let j(p) be the third derivative of p**7/315 - 5*p**6/36 + 203*p**5/90 - 539*p**4/36 - 3*p**2 - 38*p. Find f such that j(f) = 0.
0, 7, 11
Suppose 55*f - 57*f = -4. Factor 48*l**4 + 24*l**3 + 21*l + 0 + 7*l**f - 36*l**5 - 12*l**5 - 55*l**2 - 3.
-3*(l + 1)*(2*l - 1)**4
Let o(j) be the first derivative of -1/20*j**5 - 167 + 0*j**2 - 1/16*j**4 + 0*j + 1/6*j**3. Factor o(f).
-f**2*(f - 1)*(f + 2)/4
Factor -645*m**2 + 308*m**2 + 336*m**2 + 188*m.
-m*(m - 188)
Let x be 12*(5 + -7 + (-21)/(-10)). Let u be (-8 - -6)/20*-8. Factor 4/5*t**2 + 0*t**4 + 2/5*t**5 - 8/5*t**3 - u + x*t.
2*(t - 1)**3*(t + 1)*(t + 2)/5
Let w(z) = z**3 - 9*z**2 + 7. Let n be w(9). Let y = 157/3 - 625/12. Find o, given that -49 - y*o**2 - n*o = 0.
-14
Let b(d) = 2*d + 19. Let z(q) = -2*q**2 + 7*q - 4. Let l be z(4). Let v be b(l). Solve 8*x**v + x - 14*x + 29*x + 28*x**2 - 4*x**4 = 0 for x.
-1, 0, 4
What is c in 1954/9*c**2 - 2/3*c + 0 = 0?
0, 3/977
Let g(w) be the third derivative of 0*w**4 + 0*w + 1/240*w**6 - 3 + 0*w**3 + 1/6*w**5 + 15*w**2. Solve g(r) = 0.
-20, 0
Let w(g) be the second derivative of -6*g**3 - 34*g + 18*g**2 + 2 - 1/3*g**4 + 1/5*g**5. Factor w(r).
4*(r - 3)*(r - 1)*(r + 3)
Factor -16*d**2 - 4370*d**3 + 4369*d**3 + 3*d**2 - 130 - 7*d**2 - 8*d + 159*d.
-(d - 5)*(d - 1)*(d + 26)
Suppose -168/5 + 892/5*a - 176*a**2 = 0. What is a?
1/4, 42/55
Suppose h = 2 - 0. Let s = 1159591 + -5797952/5. Suppose -9/5*y**3 + 0*y**h + 0 - s*y**4 + 12/5*y = 0. What is y?
-2, 0, 1
Let i = 219337 - 219337. Suppose 6/5*n**2 + 3/5*n**3 + i + 3/5*n = 0. Calculate n.
-1, 0
Let s be -995 + 1027 - (-968)/(-34). Suppose 24/17 - 138/17*a**2 - 40/17*a - s*a**3 + 14/17*a**4 = 0. What is a?
-1, 2/7, 6
Let p(y) be the third derivative of -y**7/560 - 13*y**6/160 + 27*y**5/160 - 3*y**2 + 84*y. Factor p(f).
-3*f**2*(f - 1)*(f + 27)/8
Let q be (-4)/6 - 1243/(-339). Let a(o) be the second derivative of -1/6*o**6 + 0 + 0*o**4 - 3/4*o**5 + 16*o + 0*o**2 + 10/3*o**q. Solve a(v) = 0.
-2, 0, 1
Let m be 6/(-9) + (-61028)/(-66990). Let w = m + 6/145. What is p in 4/7*p - w*p**2 + 2/7*p**5 - 6/7*p**3 + 0 + 2/7*p**4 = 0?
-2, -1, 0, 1
Solve 984/5 - 50*i**3 + 2/5*i**4 + 478/5*i**2 + 1714/5*i = 0.
-1, 4, 123
Suppose -15*i + 4*i + 55 = 0. Suppose -i*k + 8 = q, -2*k + q + 8 = k. Solve -6*o**k - 2*o**2 + 0*o + 4*o**2 + 4*o = 0 for o.
0, 1
Let j(w) be the second derivative of 0 + 1/22*w**4 + 0*w**2 - 102*w - 4/55*w**5 + 1/55*w**6 + 2/33*w**3. Find z such that j(z) = 0.
-1/3, 0, 1, 2
Let t = -77 + 132. Suppose 5*c + 0*k + 5*k = t, 3*c - 43 = -5*k. Factor 3*p - 110*p**5 - 3*p + 107*p**5 + c*p**4.
-3*p**4*(p - 2)
Suppose -h = -0*h - 24*h + 115. Let n(w) be the first derivative of -7/15*w**2 - 1/6*w**4 - 2/5*w**3 - 4/15*w - 2/75*w**h + 7. Let n(q) = 0. Calculate q.
-2, -1
Let b = 312 + -312. Let c be b*((-4)/8)/(-1). Suppose -2/3*a + 1/3*a**4 - a**2 + c + 0*a**3 = 0. Calculate a.
-1, 0, 2
Let f(v) be the first derivative of v**6/480 + v**5/30 - v**4/24 - 4*v**3/3 - v**2 + 193*v + 45. Let s(l) be the second derivative of f(l). Factor s(g).
(g - 2)*(g + 2)*(g + 8)/4
Let d = -708 + 746. Let -2*u**2 - 62*u + 8 + 45*u + d*u + 16 - u**2 = 0. Calculate u.
-1, 8
Let x(c) be the first derivative of c**3 + 1083*c**2 + 390963*c - 460. Factor x(d).
3*(d + 361)**2
Find g such that -6438*g**2 + 6440*g**2 - 204 - 9377*g + 9355*g = 0.
-6, 17
Let r be 5 + 29/((-696)/(-408)). Let x(j) be the first derivative of -12*j**2 + 4/3*j**3 + j**4 + r + 0*j. Factor x(p).
4*p*(p - 2)*(p + 3)
Let s(n) = 35 - 7 + 63*n - 64*n. Let k be s(-9). Factor k*y**3 - 36*y + 13*y**3 - 162*y**4 + 12*y - 464*y**3 + 208*y**2.
-2*y*(y + 3)*(9*y - 2)**2
Let g(s) be the third derivative of 1/120*s**5 - 2*s**2 + 34 - 5/48*s**4 + 0*s - 1/2*s**3. Factor g(p).
(p - 6)*(p + 1)/2
Suppose -2*z = -0*z. Suppose 1774*b - 1142 - 2406 = 0. Suppose 0*k - 6/7*k**3 + 3/7*k**b + 3/7*k**4 + z = 0. What is k?
0, 1
Suppose -585*t + 581*t + 12 = 0. Find s such that 47*s**t + 4*s**2 + 13*s**3 - 13*s**3 + 15*s**3 = 0.
-2/31, 0
Let s be (-1708)/2135 + (-4)/(-5). Let i(a) be the third derivative of 98/3*a**3 + s + 0*a + 1/15*a**5 + 7/3*a**4 - 27*a**2. Let i(l) = 0. What is l?
-7
Let n(v) be the first derivative of -v**4/18 + 98*v**3/27 + 52*v**2/3 + 455. Factor n(w).
-2*w*(w - 52)*(w + 3)/9
Let r(i) = 4*i**2 + 5*i + 4. Let g be r(-1). Suppose o - 5*w - g + 4 = 0, -5*w = -5*o + 15. Let -27/7*x**2 - 6/7 + 15/7*x**3 + 3*x - 3/7*x**o = 0. What is x?
1, 2
Let 1272/7*y**2 + 326/7*y**4 + 2/7*y**5 + 1280/7*y**3 + 0*y + 0 = 0. What is y?
-159, -2, 0
Let y(m) be the third derivative of 0*m + 16/21*m**3 + 4/105*m**5 + 1/420*m**6 + 5/21*m**4 + 0 + 8*m**2. Factor y(c).
2*(c + 2)**2*(c + 4)/7
Let v(f) be the second derivative of -2*f**6/15 + 22*f**5/5 - 20*f**4/3 - 44*f**3/3 + 42*f**2 + 336*f. Let v(h) = 0. Calculate h.
-1, 1, 21
Let x(m) be the first derivative of 2*m**3/33 