**4 - 133/2*l - 1/2*l**5 = 0. Calculate l.
-1, 7
Let t(u) = 8*u**3 + 97*u**2 - 218*u + 113. Let i(n) = 5*n**3 + 65*n**2 - 145*n + 75. Suppose -22 = -5*l + 3. Let z(d) = l*t(d) - 7*i(d). Factor z(k).
5*(k - 1)**2*(k + 8)
Let q(i) be the second derivative of -1/6*i**6 + 0*i**2 + 1/4*i**5 - 33*i + 5/2*i**4 + 0*i**3 + 0. Solve q(b) = 0.
-2, 0, 3
Let j(n) be the second derivative of 2/3*n**2 - 1/18*n**4 + 0 - 1/9*n**3 + 14*n. Factor j(b).
-2*(b - 1)*(b + 2)/3
Let o(d) be the first derivative of d**6/66 - 6*d**5/55 - 4*d**4/11 - 2*d**3/33 + 15*d**2/22 + 8*d/11 + 2171. Factor o(s).
(s - 8)*(s - 1)*(s + 1)**3/11
Let v(i) = i**3 - 12*i**2 + 15*i - 16. Let r be v(11). Suppose -5*x + r - 8 = 0. Factor 16*y**2 + 18*y**3 + 3*y**5 + 12*y**x - 95 + 3*y - 4*y**2 + 95.
3*y*(y + 1)**4
Let b(v) be the second derivative of 2*v**4/9 - 25*v**3/18 + v**2/2 + 110*v - 3. Factor b(x).
(x - 3)*(8*x - 1)/3
Let b(l) be the first derivative of 2*l**3/7 - 242*l**2/7 + 320*l/7 + 3469. Find g such that b(g) = 0.
2/3, 80
Let q(l) = -l**3 - 14*l**2 + 3. Suppose -3*x = -8*x - 70. Let h be q(x). Factor 24*c + 4 + 44 + 3*c**h + 0*c**3 - 21*c**2.
3*(c - 4)**2*(c + 1)
Let f = 196136/11 - 1239247/77. Let o = f + -1733. Factor o*r + 12/7 + 15/7*r**2 + 3/7*r**3.
3*(r + 1)*(r + 2)**2/7
Solve 352*l**3 + 512 - 640*l + 32*l**2 - 821*l**3 + 4*l**5 + 605*l**3 - 44*l**4 = 0 for l.
-2, 1, 4
Let a(b) = 9*b - 181. Let t be -9 - (-70)/7*3. Let z be a(t). Suppose 4/3*f**2 + 20/3 - z*f = 0. Calculate f.
1, 5
Let l = 15 + -10. Suppose -4*c + 4 = l*k - 0*c, -2*c = -3*k + 20. Factor 2*z**k - 50*z**3 + 2*z**4 + 54*z**3.
4*z**3*(z + 1)
Let z(r) be the first derivative of r**4/48 + r**3/4 - 2*r**2 - 63*r + 97. Let w(b) be the first derivative of z(b). Let w(i) = 0. Calculate i.
-8, 2
Let u(j) = -2*j**4 + 70*j**3 - 134*j**2 + 66*j + 42. Let l(f) = -f**4 + 69*f**3 - 135*f**2 + 67*f + 35. Let t(a) = -6*l(a) + 5*u(a). Find p such that t(p) = 0.
-18, 0, 1
Let c(i) = 2*i**3 - 12*i**2 - i + 70. Let j be c(4). Factor 1/3*v**3 + 2/3*v**j + 1/3*v + 0.
v*(v + 1)**2/3
Suppose -4*h - 9 = -h, 4*u + 4*h = 4. Determine v, given that -27*v**2 + 0*v**4 + 10*v - 3*v**u - 41 + 11*v + 35 + 15*v**3 = 0.
1, 2
Let l(q) be the second derivative of 0*q**4 + 18*q + 3*q**3 - 1/1800*q**6 + 0*q**2 - 1/200*q**5 + 0. Let u(r) be the second derivative of l(r). Factor u(s).
-s*(s + 3)/5
Let h(j) be the second derivative of j**6/120 + 3*j**5/40 - 5*j**4/12 - j**3 + 8*j**2 - j + 53. Factor h(c).
(c - 2)**2*(c + 2)*(c + 8)/4
Suppose -4*d - 41 = -7*r, d = 27 - 32. Let h(o) be the second derivative of -2/5*o**r + 1/25*o**5 + 1/6*o**4 - 1/75*o**6 + 0 - 14*o + 0*o**2. Solve h(p) = 0.
-2, 0, 1, 3
Suppose 265 - 61 = 102*h. Let a(k) be the third derivative of 0*k**3 + 0 - 6*k**h + 0*k - 1/80*k**6 - 3/16*k**4 - 1/10*k**5. What is d in a(d) = 0?
-3, -1, 0
Let t(b) be the second derivative of -3*b**5/130 - 79*b**4/78 - 76*b**3/39 - 1392*b. Factor t(m).
-2*m*(m + 1)*(3*m + 76)/13
Let i(u) = 5*u**2 + u - 10. Let b(w) = -w**2 + 4*w - 1. Let r(t) = t**2 - 2*t. Let h(f) = 2*b(f) + 3*r(f). Let v(j) = 2*h(j) - i(j). What is s in v(s) = 0?
-1, 2
Let u = 57248 - 515218/9. Factor -8/3 - 1/9*o**2 + u*o.
-(o - 12)*(o - 2)/9
Let c(f) be the first derivative of -21*f**4/20 - 26*f**3/5 + 12*f**2/5 - 448. Let c(m) = 0. Calculate m.
-4, 0, 2/7
Let w(u) = u**3 - 28*u**2 + 20. Let z be w(29). Let m = z - 857. Factor 0*d**3 + 0*d - 2/11*d**m + 4/11*d**2 - 2/11.
-2*(d - 1)**2*(d + 1)**2/11
Let s(a) = 2*a + 10. Suppose 1 = -4*r - 15. Let o be s(r). Suppose 0 + o + h - 1 + 1 - h**2 = 0. What is h?
-1, 2
Let z be ((-161)/(-46) + -4)/(5/(-6)). Factor z*l + 1/5*l**3 - 1/5 - 3/5*l**2.
(l - 1)**3/5
Suppose s + g - 5 = 0, -13*s + 2*g - 10 = -9*s. Factor s + 3*v**2 + 3/4*v**3 + 3*v.
3*v*(v + 2)**2/4
Suppose -5*o + 19 = -31. Suppose q + 4*q - o = 0. Factor -2*j**2 - 16*j - 12 + 0 - q*j**2.
-4*(j + 1)*(j + 3)
Let q be 6/22 - (0 + (-59)/66 - 240/288). Factor -1/2*t**q - 5/2 + 3*t.
-(t - 5)*(t - 1)/2
Let s(z) be the second derivative of -60*z - 34/5*z**2 - 12/5*z**3 - 1 - 1/15*z**4. Suppose s(q) = 0. Calculate q.
-17, -1
Let w be (-1)/(-11) + (-1344)/(-462). Suppose 2*a - 31 = -w*p - 21, 4*p + 4*a - 16 = 0. Find b such that 1/9*b**4 + 0*b**p + 2/9*b**3 - 2/9*b - 1/9 = 0.
-1, 1
Let p(v) be the first derivative of v**6 + 282*v**5/35 - 93*v**4 - 1328*v**3/7 + 2208*v**2 - 8448*v/7 - 2184. Let p(j) = 0. What is j?
-11, -4, 2/7, 4
Factor 430/3*r + 9245/3 + 5/3*r**2.
5*(r + 43)**2/3
Factor -9*l**2 - 56*l + 6*l**3 - 132 + 0*l - 72*l**3 + 3*l**4 + 90*l + 170*l.
3*(l - 22)*(l - 1)**2*(l + 2)
Solve -107*k**2 - 118*k - 51*k**2 + 157*k**2 + 1143 = 0 for k.
-127, 9
Suppose -y - 3*u + 50 = 2*u, -2*u = -y + 29. Suppose -16 = 27*b - y*b. Factor 3/2 - 2*q + 1/2*q**b.
(q - 3)*(q - 1)/2
Let y(p) be the second derivative of p**7/735 + p**6/210 + p**5/210 - 5*p**2/2 + 10*p. Let g(i) be the first derivative of y(i). Factor g(n).
2*n**2*(n + 1)**2/7
Let w(u) be the second derivative of 8/27*u**3 + 8*u**2 + 1/540*u**6 + 0 + 1/45*u**5 + 35*u - 5/36*u**4. Let m(b) be the first derivative of w(b). Factor m(g).
2*(g - 1)**2*(g + 8)/9
Let n be (-9)/(-6) - 2 - (-162)/12. Let t be (35/(-15))/7 - n/(-21). Factor 0 + t*s - 1/7*s**2.
-s*(s - 2)/7
Factor -6/7*r**4 + 258/7*r + 246/7*r**3 + 510/7*r**2 + 0.
-6*r*(r - 43)*(r + 1)**2/7
Determine w so that 5/3*w**2 + 780 - 245/3*w = 0.
13, 36
Let v be (11 - -5)/(173 + -133). What is l in 8/15*l**5 + 14/15*l**4 + 0*l + v*l**2 - 28/15*l**3 + 0 = 0?
-3, 0, 1/4, 1
Let f be 464/(-32)*220/(-1595). Suppose -30 + 95/3*a - 5/3*a**f = 0. Calculate a.
1, 18
Let j(i) = -3*i**2 + 7 + i - 12 + 7. Let u be j(0). Solve -2*s**4 + 6*s**3 + s**4 - 4*s**u - s**4 = 0.
0, 1, 2
Let s = 6111 - 6105. Let d(g) be the second derivative of -3*g + 0 + 13/3*g**4 - 6/5*g**5 - 8*g**3 + 8*g**2 + 2/15*g**s. Factor d(p).
4*(p - 2)**2*(p - 1)**2
Let y = -2607 + 2612. Let f(z) be the second derivative of 35*z + 1/3*z**3 - 7/132*z**4 + 4/11*z**2 + 0 - 3/220*z**y. Factor f(k).
-(k - 2)*(k + 4)*(3*k + 1)/11
Let b(m) be the second derivative of -1/150*m**6 - 3/50*m**5 - 106*m + 0 + 9/10*m**2 - 2/15*m**4 + 1/5*m**3. Factor b(l).
-(l - 1)*(l + 1)*(l + 3)**2/5
Let t = -764648 - -8411129/11. Factor -t*v**2 - 2/11*v - 1/11.
-(v + 1)**2/11
Let d = -9013 - -9015. Let n(k) be the third derivative of 0*k + 1/30*k**5 + 1/12*k**4 + 39*k**d + 0 + 0*k**3. Let n(c) = 0. What is c?
-1, 0
Let k = 88 + -68. Let c be ((-3 + 4)/(-4))/(k/(-32)). Let 2*w**4 - 2*w**3 - 3/5*w**5 - c + 0*w**2 + w = 0. What is w?
-2/3, 1
Let f(a) be the second derivative of -5*a**4/4 + 344*a**3 + 414*a**2 + 1573*a. Factor f(g).
-3*(g - 138)*(5*g + 2)
Let q(h) be the second derivative of -h**6/15 + h**5/2 + 8*h**4 - 84*h**3 + 6534*h. Suppose q(u) = 0. What is u?
-7, 0, 6
Let s(w) = w**2 - 11*w - 33. Let l be s(17). Factor -2*j**2 - 12 + 97*j - 14*j**2 - l*j.
-4*(j - 1)*(4*j - 3)
Let a = 200384/87717 + 16/12531. Factor -12/7*w + a + 2/7*w**2.
2*(w - 4)*(w - 2)/7
Suppose 10*x - 663 + 1291 = 658. Solve 1/5*s**x + 135*s + 53/5*s**2 - 729/5 = 0.
-27, 1
Let o = -178 - -178. Let a = -20/527 - -4396/4743. Let -a*j**3 + 2/9*j**4 + o - 2/9*j**2 + 8/9*j = 0. What is j?
-1, 0, 1, 4
Let v(k) be the third derivative of -k**7/2415 + 2*k**6/345 - k**5/690 - 7*k**4/46 - k**2 - 435*k + 4. Suppose v(q) = 0. Calculate q.
-2, 0, 3, 7
Let l = -251861/8 - -2770487/88. Suppose -28/11 - 18/11*r - l*r**2 = 0. Calculate r.
-7, -2
Suppose 974/5*n**3 + 91/5*n**4 + 2727/5 + 3582/5*n**2 + 5427/5*n - 1/5*n**5 = 0. What is n?
-3, -1, 101
Solve o**4 + 0 + 0*o**2 + 1/2*o**5 - 4*o**3 + 0*o = 0.
-4, 0, 2
Find d such that -d**4 + 21*d**3 - 18*d**2 + 30*d**3 - 432 + 28*d**3 + 99*d**2 - d**5 + 64*d**2 - 366*d = 0.
-8, -3, -1, 2, 9
Let v(m) = -97*m - 1937. Let k be v(-20). Let t(h) be the first derivative of -5/4*h**4 - 12 + 0*h**2 + 0*h + 5/3*h**k. Suppose t(x) = 0. What is x?
0, 1
Suppose -7*v = -9 - 5. Let h(c) = c**3 - c**2 - 4*c + 5. Let i be h(v). Factor -8*j**3 + 12*j + i + 3 - 4*j**4 - 4*j.
-4*(j - 1)*(j + 1)**3
Factor 32/3*t**2 + 3856/3*t + 116162/3.
2*(4*t + 241)**2/3
Suppose -312 + 42*p**3 - 37*p**2 - 402*p - 56*p**2 - 11*p**3 - 10*p**3 - 24*p**3 = 0. What is p?
-26, -4, -1
Let d(n) = n**2 + 8 + 1 + 4*n - 2*n**2 - 8. Let l be d(3). Factor 44*r**3 + 19*r - r - 16*r**l - 13 - 48*r**2