, given that u - 5*l**3 + 6*l**2 - 3 + 4*l**2 - 5*l = 0.
0, 1
Let z(d) be the first derivative of d**5/15 - 5*d**4/4 + 22*d**3/9 + 10*d**2 - 104*d/3 + 53. Factor z(h).
(h - 13)*(h - 2)**2*(h + 2)/3
Let d = 0 - -3. Suppose -d*o + 80 = -o. Factor -o + 3*w**2 - w + 7*w + 31.
3*(w - 1)*(w + 3)
Suppose 2 = 4*t - 34. Find a, given that -2*a**3 - t*a**3 + 2*a**4 + 4*a**2 - 6 + 8*a - a**3 + 4*a**3 = 0.
-1, 1, 3
Let d(y) be the first derivative of y**6/15 + y**5/15 - y**4/6 - 3*y**2/2 - 13. Let r(n) be the second derivative of d(n). Factor r(j).
4*j*(j + 1)*(2*j - 1)
Suppose 552 + 260*m**3 + 1084*m**2 + 1055*m + 1041*m - 724*m + 2*m**4 - 6*m**4 = 0. Calculate m.
-2, -1, 69
Factor 33*b + 413 - 108*b - 4*b**2 + 147 - 197*b.
-4*(b - 2)*(b + 70)
Let p be 8/6 - (-4)/6. Let x(b) = -12*b + 176. Let i be x(14). Factor -i*d**3 - 8*d**2 - 2*d**p + 0*d**2 - d**4 - d**4 - 4*d.
-2*d*(d + 1)**2*(d + 2)
Let p(w) = -w**3 + 4*w**2 + 5*w + 3. Let o be p(5). Suppose 0 = o*d - 16 + 1. Factor 12*c**5 + 8*c**3 - 16*c**d - c - 3*c.
-4*c*(c - 1)**2*(c + 1)**2
Let g(q) be the first derivative of -4*q**3/3 - 24*q**2 + 112*q + 239. Factor g(y).
-4*(y - 2)*(y + 14)
Factor -1902 + 4*y**4 - 965*y - 2098 + 116*y**3 + 1895*y + 1870*y + 1080*y**2.
4*(y - 1)*(y + 10)**3
Suppose u + 8 = 5*g, 5*u + 5*g - 20 = -0*u. Suppose 4*w - 2*r - 6 = 0, 9 = 5*r - u*r. Factor 1/8*y + 0 + 0*y**2 - 1/8*y**w.
-y*(y - 1)*(y + 1)/8
Let c(f) = -f**3 + 2*f**2 - 5*f - 2. Let y(b) = -6*b**3 + 10*b**2 - 26*b - 11. Let u be -2 + 690/(-78) + 2/(-13). Let v(n) = u*c(n) + 2*y(n). Factor v(i).
-i*(i - 1)*(i + 3)
Let b(g) = -22*g**2 - 30*g - 12. Let o(f) = 67*f**2 + 90*f + 35. Let t(p) = -8*b(p) - 3*o(p). Suppose t(a) = 0. What is a?
-3/5
Let l = 103 - 103. Let s(m) be the second derivative of 0 - 1/9*m**2 + 1/45*m**5 - 2/27*m**3 + l*m**4 + 2*m + 1/135*m**6. Solve s(p) = 0.
-1, 1
Let j be -3*((-4)/2)/(63 - 45). Factor -j*p**2 - 1/3 - 2/3*p.
-(p + 1)**2/3
Let z(h) = h**3 + 5*h**2 + 4*h - 4. Let p be z(-2). Factor p*g**2 + 0*g - 4/7*g**3 + 0.
-4*g**3/7
Let w(n) be the first derivative of 2*n**6/5 + 88*n**5/25 + 22*n**4/5 - 64*n**3/15 - 10*n**2 - 24*n/5 + 397. Let w(x) = 0. What is x?
-6, -1, -1/3, 1
Let u be (8 - 7) + -2 + 1. Suppose -4*s**2 + u*s**3 - 15 - 20*s + 0*s**3 + 3 + 4*s**3 = 0. Calculate s.
-1, 3
Suppose 2*x + 2*m - 2 = -x, -5*x - 2*m = -2. Suppose x*k = k - 2. Factor -4*o - 8*o**k + o**3 - 8*o**2 - 8*o**3 - 5*o**3.
-4*o*(o + 1)*(3*o + 1)
Let h(i) be the first derivative of 1/2*i**3 - 1/12*i**4 + 8*i - i**2 - 6. Let m(j) be the first derivative of h(j). Find z, given that m(z) = 0.
1, 2
Determine a, given that -9296*a + 9075 + 9738*a**2 - 335*a**3 - 3910*a - 2757*a - 2517*a - a**3 + 3*a**4 = 0.
1, 55
Let k(t) be the first derivative of -t**5/20 + t**4/4 + 2*t**3/3 - 8*t + 14. Let v(y) be the first derivative of k(y). Find q such that v(q) = 0.
-1, 0, 4
Suppose -2*s = s - 5*w + 7, -s = -4*w + 14. Suppose s = 5*k - 19. Factor -k*l**4 - 4*l**3 + 6*l**4 - l**4 + 2*l**4 + 2*l**5.
2*l**3*(l - 1)*(l + 2)
Let f(o) be the first derivative of -o**4/38 - 10*o**3/57 - 3*o**2/19 + 18*o/19 - 956. Determine q so that f(q) = 0.
-3, 1
Let u(w) be the first derivative of w**6/780 - w**4/156 + 6*w**2 - 9. Let g(p) be the second derivative of u(p). Factor g(z).
2*z*(z - 1)*(z + 1)/13
Let s be -1 + -4 - (-21)/(63/15). Determine z so that s - 280/3*z**4 + 172/3*z**3 - 16/3*z + 16/3*z**2 = 0.
-2/7, 0, 2/5, 1/2
Let o(p) = p**2 + 28*p + 3. Let f be o(-28). Determine s so that 4*s**5 + 4*s**2 - 14*s**3 - 14*s**f - 2*s**2 + 8*s**4 + 14*s**2 = 0.
-4, 0, 1
Let f(x) = -x - 1. Let b(i) = -2*i**2 - 11*i - 3. Let r(k) = 2*b(k) - 22*f(k). Factor r(n).
-4*(n - 2)*(n + 2)
Suppose -43 + 39 - 180 = -46*g. Factor 0*n**4 - 2/3*n**5 + g*n**3 + 0 + 2*n - 16/3*n**2.
-2*n*(n - 1)**3*(n + 3)/3
Suppose 5*u - 3 = 3*y + 8, 5*y - u + 33 = 0. Let h be -1*y*1/1. Solve 4*o - o**3 + 2*o**5 + 2*o**5 - h*o**3 = 0 for o.
-1, 0, 1
Let k be (-4)/10 - (-34)/10. Let b(f) = -3*f**4 + 3*f**2 - 5. Let n(i) = i**4 - i**2 + 3. Let d(x) = k*b(x) + 5*n(x). Factor d(z).
-4*z**2*(z - 1)*(z + 1)
Let f be (-3859)/(-255) - 2/15. Let o be (-37)/f + 3/1. Determine g, given that -8/5*g - o - 2/3*g**2 = 0.
-2, -2/5
Suppose 391*v - 783*v + 4 = -390*v. Factor 1/4*p**v + 1/2 - 3/4*p.
(p - 2)*(p - 1)/4
Solve 3/2*z**3 + 126*z - 3/2*z**5 + 21/2*z**4 - 54 - 165/2*z**2 = 0.
-3, 1, 2, 6
Suppose 29*f + 78 = 32*f. Suppose 3*z - f = -4*s, 0 = 2*s + 5*z - 10*z. Factor 0 - 8/7*i**2 + 4/7*i**4 + 2/7*i**s - 6/7*i**3 + 8/7*i.
2*i*(i - 1)**2*(i + 2)**2/7
Factor -4*l**2 + 22*l**2 - 24 + 23*l**4 - 12*l**3 - 84*l + 11*l**4 - 13*l**4 + 81*l**3.
3*(l - 1)*(l + 2)**2*(7*l + 2)
Let k = 490/9 + -952/9. Let d = 52 + k. Let 7/3*i**5 - 7/3*i**3 + 0 + 0*i - 2/3*i**4 + d*i**2 = 0. Calculate i.
-1, 0, 2/7, 1
Let d(h) be the first derivative of 7 + 0*h**2 + 0*h - h**3 + 9/5*h**5 + 3/2*h**4. Factor d(z).
3*z**2*(z + 1)*(3*z - 1)
Suppose 0 = n - 2*l - 772 + 293, 0 = -4*n + 4*l + 1916. Let 40*j + 16*j**2 - 135*j**5 - 270*j**3 + 74*j**4 - n*j**4 + 4*j**2 = 0. Calculate j.
-2, -2/3, 0, 1/3
Let y(u) be the second derivative of -74*u**7/105 + u**6 + 73*u**5/50 - 5*u**4/2 + u**3/15 - 3*u - 113. Determine r so that y(r) = 0.
-1, 0, 1/74, 1
Let n(j) be the second derivative of j**4/54 + 5*j**3/27 + 4*j**2/9 - 6*j - 2. Solve n(u) = 0 for u.
-4, -1
Let v(o) = 15*o**2 - 20*o - 20. Let s(n) = 8*n + 30*n**2 - 14 - 30 + 4 - 48*n. Let c(i) = -4*s(i) + 7*v(i). What is q in c(q) = 0?
-2/3, 2
Let -3/5*n + n**2 - 2/5 = 0. Calculate n.
-2/5, 1
Let d(c) be the first derivative of -c**8/10920 + c**7/2730 + c**6/780 + 13*c**3 + 32. Let o(w) be the third derivative of d(w). Factor o(s).
-2*s**2*(s - 3)*(s + 1)/13
Solve 0 + 3/2*s + 5*s**2 = 0 for s.
-3/10, 0
Let q(j) = -j**3 - j**2 - j. Let a(r) be the second derivative of -r**5/10 - r**4/2 - 5*r**3/3 - 23*r. Let h(k) = -a(k) + 6*q(k). Factor h(y).
-4*y*(y - 1)*(y + 1)
Let b be (-45)/(-30)*(-8)/(-6). Find g such that 6*g**2 - 7*g**2 - 4*g**2 + 8 + 3*g**b = 0.
-2, 2
Let v be 7/(140/165) + (-78)/26. Factor 9*b**2 + 0 + 3*b - v*b**3.
-3*b*(b - 2)*(7*b + 2)/4
Let i(v) be the first derivative of -5*v**7/14 - v**6/3 + 3*v**5/4 + 5*v**4/6 + 6*v - 6. Let w(h) be the first derivative of i(h). What is u in w(u) = 0?
-1, -2/3, 0, 1
Let a(m) be the first derivative of -5*m**3/3 + 315*m**2 - 19845*m - 235. Solve a(c) = 0 for c.
63
Let k(p) be the second derivative of p**4/96 + 3*p**3/16 - 61*p. Let k(j) = 0. Calculate j.
-9, 0
Find f such that -21/4*f**2 - 33*f - 9 = 0.
-6, -2/7
Let s = 14750/11921 + -6/917. Factor s*c + 2/13*c**4 + 0 + 24/13*c**2 + 12/13*c**3.
2*c*(c + 2)**3/13
Let y(u) be the first derivative of -2*u**5/5 - 7*u**4 + 62*u**3/3 - 16*u**2 - 8. Let y(c) = 0. Calculate c.
-16, 0, 1
Let h(g) = -3*g**3 + g - 4. Let i(v) = 25*v**3 - 7*v + 33. Let j(s) = -51*h(s) - 6*i(s). Factor j(q).
3*(q - 1)**2*(q + 2)
Let -2124*z**2 + 4752 - 134*z**2 - 605*z**4 - 1062*z**2 + 2640*z**3 + 960*z - 4832 = 0. Calculate z.
2/11, 2
Let r = -65 + 331. Let a = r - 266. Factor a + 0*y**2 - 1/2*y + 1/2*y**3.
y*(y - 1)*(y + 1)/2
Let l be (-64)/(-40)*((-100)/(-6))/10. Let p(k) be the first derivative of -6 - 24*k**2 + 36*k + 4*k**4 - l*k**3 + 4/5*k**5. Factor p(f).
4*(f - 1)**2*(f + 3)**2
Let v(d) = 2*d**3 + 8*d**2 - 4*d - 4. Let u(r) = 2*r - 14 - r**2 + 15 - r. Suppose 2*q - 2 = 6. Let x(b) = q*u(b) + v(b). Factor x(n).
2*n**2*(n + 2)
Let a(b) be the first derivative of -b**4/2 + 8*b**3/3 + 5*b**2 - 86. Find m, given that a(m) = 0.
-1, 0, 5
Suppose -5*q - 10 = d, -9 = 2*q - 3. Suppose d*h - 10 = -0*h. Factor 5*v**3 + 11 + 12*v - 3 - 4*v**3 - 3*v**h + 9*v**2.
(v + 2)**3
Suppose 3*m + 3/2*m**2 - 45/2 = 0. What is m?
-5, 3
Let y(z) = -1 - 4*z**2 + 13*z**3 - 6*z**3 + 7 - 2*z**4 + 7*z**3 - 14*z. Let w(x) = x**4 - 13*x**3 + 4*x**2 + 15*x - 7. Let c(k) = 6*w(k) + 7*y(k). Factor c(t).
-4*t*(t - 2)*(t - 1)*(2*t + 1)
Let d be -20 - -22 - 58/30. Let p(i) be the first derivative of 0*i**2 + d*i**5 + 0*i - 3 + 0*i**3 + 1/12*i**4. Factor p(m).
m**3*(m + 1)/3
Suppose -38 + 170 = -2*v. Let b = v - -66. Factor b + 3/4*w - 3/4*w**5 - 3/2*w**4 + 3/2*w**2 + 0*w**3.
-3*w*(w - 1)*(w + 1)**3/4
Suppose 5*k + 830 = m + 3*m, 3*k + 4*m = -530. Let o be (-3)/(-4) + k/280. Solve 0 - o*g + 1/7*g**2 = 0.
0, 1
Let f(t) = 79*t + 79. Let x be f(