be the third derivative of -u**5/3 - 65*u**4/8 - 175*u**3/6 + 5291*u**2. Determine o so that t(o) = 0.
-35/4, -1
Let w(p) be the second derivative of -p**4/12 + 254*p**3 + 1525*p**2/2 - 327*p. Factor w(y).
-(y - 1525)*(y + 1)
Factor 30960*g + 7883 + 821*g**3 - 19047 + 712*g**2 - 817*g**3 - 53636.
4*(g - 2)*(g + 90)**2
Let l(j) be the first derivative of -5*j**4/4 - 70*j**3/3 + 305*j**2/2 + 850*j - 584. Suppose l(h) = 0. What is h?
-17, -2, 5
Suppose o + 3*q = 153 + 138, q + 1503 = 5*o. Suppose 69*n - o = 9*n. Factor 0*z + 0 - 1/6*z**n - 1/2*z**3 - 1/2*z**4 - 1/6*z**2.
-z**2*(z + 1)**3/6
Suppose 39*z - z**2 - 15*z**2 + 1268*z**3 - 1276*z**3 + 4*z**4 - 7*z = 0. What is z?
-2, 0, 2
Find t, given that -150 - 3*t**3 - 159/2*t**2 + 9/2*t**4 + 210*t = 0.
-5, 5/3, 2
Let o(q) be the first derivative of -1/9*q**3 + 0*q + 1/15*q**5 - 98 - 1/12*q**4 + 1/6*q**2. Factor o(i).
i*(i - 1)**2*(i + 1)/3
Suppose -4*z = -2*z + 118. Let g = z + 61. Factor 2 + 24*i**2 + 3*i - 9*i**g - 8*i**2 - 6*i**2.
(i + 1)*(i + 2)
Let d(f) = f**2 + f - 3. Let j(g) = -88*g + 12. Let y(q) = -21*q + 164. Let b be y(8). Let x(k) = b*d(k) - j(k). Factor x(r).
-4*r*(r - 21)
Suppose 0 = -7*x - 4*z - 4, -z = 3*x - 5*z - 44. Let n(u) be the first derivative of 27 + 0*u - u**4 - 4/3*u**3 + x*u**2. Factor n(p).
-4*p*(p - 1)*(p + 2)
Let l(o) be the second derivative of o**5/90 + 239*o**4/27 + 947*o**3/9 + 472*o**2 - 500*o - 1. Factor l(q).
2*(q + 3)**2*(q + 472)/9
Suppose 13 = 5*d - 7. Suppose -4*v + j + 7 = 2*j, 4*v - d = -4*j. Factor 4/9*u**v - 2/9 + 2/9*u**5 + 2/9*u - 2/9*u**4 - 4/9*u**3.
2*(u - 1)**3*(u + 1)**2/9
Let n(s) be the first derivative of -4*s**5/35 - 444*s**4/7 + 1188*s**3/7 - 892*s**2/7 + 782. Suppose n(b) = 0. Calculate b.
-446, 0, 1
What is l in -77*l - 18*l**3 + 4*l**4 + 65 + 28 - 104*l - 148*l**2 + 15 + 43*l = 0?
-3, -2, 1/2, 9
Let a(b) be the first derivative of b + 118. Let p(c) = 5*c**3 - 215*c**2 + 2415*c - 2235. Let h(d) = 30*a(d) + p(d). Suppose h(i) = 0. What is i?
1, 21
Let j(i) = -26*i**2 - 23038*i + 33154558. Let g(l) = 16*l**2 + 23036*l - 33154560. Let a(x) = 3*g(x) + 2*j(x). Factor a(u).
-4*(u - 2879)**2
Let s(x) = -5*x**2 - 106*x - 17. Let z(n) = n**3 - 8*n**2 + 9*n + 9. Let r be z(5). Let l be s(r). Factor v**2 + 2*v**l - 1/2*v**5 - 5/2*v**3 + 0*v + 0.
-v**2*(v - 2)*(v - 1)**2/2
Let k be 433296/(-16992)*(-4)/51. Let 11/5 + 1/5*b**k + 12/5*b = 0. Calculate b.
-11, -1
Solve -402 - 4*c**3 - 655 + 8*c**2 + 336*c - 383 = 0.
-10, 6
Let m(n) = -n**3 + 12*n**2 + 10*n + 39. Let o be m(13). Factor -144*d + 200*d**2 + 20*d**4 - 108*d**3 + o*d**3 + 30 + 2.
4*(d - 2)**2*(d - 1)*(5*d - 2)
Let h be -6 - 126/70 - (-7 + -1). What is g in -h*g**5 + 1/5*g + 0*g**3 - 2/5*g**2 + 0 + 2/5*g**4 = 0?
-1, 0, 1
Let h(g) be the first derivative of -g**4/22 - 32*g**3/33 - 60*g**2/11 + 2294. Factor h(w).
-2*w*(w + 6)*(w + 10)/11
Let c(a) be the first derivative of -61 - 80/9*a**2 + 5*a**4 - 44/27*a**3 + 92/45*a**5 - 10/27*a**6 - 16/3*a. Let c(y) = 0. Calculate y.
-1, -2/5, 1, 6
Let l(p) be the third derivative of p**8/112 - 41*p**7/70 - 27*p**6/4 - 277*p**5/10 - 467*p**4/8 - 141*p**3/2 + 16*p**2 + 58*p. Factor l(v).
3*(v - 47)*(v + 1)**3*(v + 3)
Factor -47 + 2 + 33*w + 7*w**2 + 11 - w**3 + 6*w**2 - 11.
-(w - 15)*(w - 1)*(w + 3)
Let b(u) = 57*u**2 - 2624*u + 95. Let o be b(46). Let -45*w**2 - 183/5*w + 12/5*w**4 - 42/5 - 48/5*w**o = 0. What is w?
-2, -1/2, 7
Suppose -20*n = -6 - 34. Suppose -n*u + 6 = 4*q, 0 = -0*q - 3*q + 4*u + 10. Suppose 16/3*l**2 - 8/3*l + q*l**4 + 0 + 22/3*l**3 = 0. Calculate l.
-2, 0, 1/3
Factor 14*o**3 + 15*o**2 - 234*o - 59*o**2 + 250*o**2 + 88 - 10*o**2 - 64*o**2.
2*(o - 1)*(o + 11)*(7*o - 4)
Let s = 10 - 6. Let f = 4241603/7422793 - 1/1060399. Find c such that f*c**2 - 4/7*c**s + 0*c**3 + 0*c + 0 = 0.
-1, 0, 1
What is k in 4*k - 6*k - 85 + 48*k - 140 + 155*k**2 + 10*k**3 + 14*k = 0?
-15, -3/2, 1
Let h(j) be the third derivative of j**7/840 - j**6/240 - j**5/60 + j**4/48 + j**3/8 - 176*j**2. Factor h(k).
(k - 3)*(k - 1)*(k + 1)**2/4
Suppose -82*d**2 - 1/2*d**3 + 331/2*d - 83 = 0. Calculate d.
-166, 1
Let h(o) be the third derivative of o**7/840 - 29*o**6/240 - 14*o**5/3 - 148*o**4/3 - 2*o**2 - 2779. Solve h(b) = 0 for b.
-8, 0, 74
Let t be -4 + (-5)/5 - -4 - -3. Let 4*y + 3*y**2 + 68 - 76 + y**t = 0. What is y?
-2, 1
Let g be -1 + (-524)/(-182) - -57*(-30)/(-3990). Factor -g*x - 16/13*x**2 + 0 - 2/13*x**3.
-2*x*(x + 3)*(x + 5)/13
Let q(s) = 22448*s**3 - 640*s**2 - 101*s + 4. Let b(u) = -67360*u**3 + 1920*u**2 + 302*u - 12. Let t(m) = -3*b(m) - 10*q(m). Factor t(h).
-4*(14*h + 1)*(20*h - 1)**2
Let f(m) be the second derivative of 9*m**5/50 - 11*m**4/10 - 56*m**3/15 - 4*m**2 + 9*m + 1. Factor f(b).
2*(b - 5)*(3*b + 2)**2/5
Let r(t) = 8*t + 19. Let z be r(-1). Factor -60*u**3 - z*u**2 - 15*u**2 + 63*u**3 - 11*u + 18.
(u - 9)*(u + 1)*(3*u - 2)
Let i be (-3)/18 + 3602/942 - 3. Let m = i + 3/314. Solve 121/6*d**2 + 22/3*d + m = 0.
-2/11
Let v be 3 - (-3 + -1 + 5). Factor 45*y**3 + 2*y**2 - v*y**4 + 2*y**2 - 91*y**3 + 48*y**3.
-2*y**2*(y - 2)*(y + 1)
Determine m so that -892813 - 78*m**3 + 11*m + 66*m + 2*m**2 + m**5 + 892774 + 37*m**4 = 0.
-39, -1, 1
Let r = -107 - -107. Let m(p) = -p**2 + 7*p - 7. Let j be m(5). Factor r*k + 0*k - 2*k + k**3 + k**j.
2*k*(k - 1)*(k + 1)
Let z be (-5)/55*(14 - 7). Let h = z - -9/11. Factor 1/11 + 2/11*i**3 + 0*i**2 - 1/11*i**4 - h*i.
-(i - 1)**3*(i + 1)/11
Let o = 292 + -214. Let -36*w**2 + 6*w + 8 - 44*w**2 + o*w**2 = 0. What is w?
-1, 4
Suppose -5*y = 30*g - 33*g + 14, 5*g + 5*y = 10. Factor 48/7*d + 13/7*d**2 + 36/7 + 1/7*d**g.
(d + 1)*(d + 6)**2/7
Let c = 240 + -189. Suppose 25*o - 49 = c. What is v in -8/3*v**2 - 4*v**3 + 0*v**o + 0*v + 0 + 4/3*v**5 = 0?
-1, 0, 2
Let f(a) be the second derivative of -a**4/18 + 19*a**3/9 + 22*a**2 + 4*a + 683. Solve f(p) = 0.
-3, 22
Let y(d) be the third derivative of 0*d**4 - 45 + 0*d + 1/15*d**6 + 2*d**2 + 0*d**3 + 7/5*d**5 - 2/35*d**7. Factor y(z).
-4*z**2*(z - 3)*(3*z + 7)
Let -1/9*i**4 - 110224/9 + 37184/3*i - 28888/9*i**2 + 112/3*i**3 = 0. What is i?
2, 166
Let l be (-1 + 2)*(-1 - -12). Suppose -3*i + l = -1. Determine s, given that 3*s**5 - 4*s**5 - i*s**3 + 5*s**3 = 0.
-1, 0, 1
Suppose -5*j = 5 - 25. Suppose 4*y**3 - 6*y - 170*y**4 - 3*y**2 + 169*y**j + 2*y**2 = 0. What is y?
-1, 0, 2, 3
Suppose -217*v + 105 = -202*v. Let u be 4/72 - v/(-42). Determine o so that -4*o - u*o**5 - 58/9*o**3 + 26/3*o**2 + 0 + 2*o**4 = 0.
0, 1, 2, 3
Let s = 2/199 - -33623/796. Let d = s - 163/4. Find l, given that -15/2*l**3 - 12*l**2 + 3 - d*l = 0.
-1, 2/5
Let p = -48 + 51. Let r(w) = -8*w**3 + 15*w**2 + 8*w - 15. Let d(m) = m**3 - m. Let x(k) = p*d(k) + r(k). Factor x(n).
-5*(n - 3)*(n - 1)*(n + 1)
Let a(l) be the first derivative of -25*l**3/3 - 1590*l**2 - 101124*l + 981. Solve a(r) = 0 for r.
-318/5
Let f = 59445 - 297223/5. What is k in 162/5 + f*k**2 + 36/5*k = 0?
-9
Let w(l) = -14*l - 276. Let t be w(-21). Suppose 19 - 19 = t*u. Factor 0*a + u + 1/8*a**5 + 0*a**3 + 0*a**2 + 1/8*a**4.
a**4*(a + 1)/8
Factor 3697*o**3 + 15972 + 25/3*o**5 + 56243/3*o**2 + 295*o**4 + 30976*o.
(o + 11)**3*(5*o + 6)**2/3
Let 0*a + 2/7*a**4 + 32/7*a**2 + 20/7*a**3 + 0 = 0. What is a?
-8, -2, 0
Let m(o) be the first derivative of -243*o**6/95 + 243*o**5/95 - 18*o**4/19 + 8*o**3/57 + 5*o - 103. Let s(u) be the first derivative of m(u). Factor s(d).
-2*d*(9*d - 2)**3/19
Let z be 528/2090*5/(-2). Let q = 54/95 - z. Factor 6*a + 18/5 - 6/5*a**3 + q*a**2.
-6*(a - 3)*(a + 1)**2/5
Solve -5*q**3 + 17839*q - 34362*q + 17128*q - 90*q**2 + 690 = 0 for q.
-23, -1, 6
Let y(q) be the second derivative of -3*q**7/56 + q**5/80 - 3914*q. Factor y(w).
-w**3*(3*w - 1)*(3*w + 1)/4
Let x be 14 + 8720/(-672) + -1. Let a(r) be the second derivative of 0 + 0*r**2 - 1/2*r**3 - 2*r - 3/10*r**5 - 2/3*r**4 + x*r**7 + 0*r**6. Factor a(k).
k*(k - 3)*(k + 1)**3
Let m be 3/(-24)*-68 + 10/(-4). Let t(b) be the third derivative of 0*b - 32*b**2 + 0 + 0*b**5 - 1/6*b**3 - 1/720*b**m + 7/144*b**4. Factor t(u).
-(u - 2)*(u - 1)*(u + 3)/6
Suppose -8*x = -15*x + 11*x, 0 = q - 0*q + 5*x - 2. Find f, given that -16/7*f + 20/7 - 4/7*f**q = 0.
-5, 1
Let y = -2 - -5. Suppose 25*k = 37*k. Factor -12*g**2 - 3*g**3 + k*g**3 + 7*g**y + 3*g + 5*g.
4*g*(g - 2)*(g - 1)
Let z(h