368 + -10943/8. Let l(z) be the third derivative of 0*z - 1/40*z**6 - 1/20*z**5 + 1/2*z**3 + 0 + 2*z**2 + n*z**4. Let l(s) = 0. What is s?
-1, 1
Let b(c) = -c**4 - 84*c**3 + 261*c**2 - 266*c + 87. Let q(f) = 2*f**4 + 168*f**3 - 523*f**2 + 534*f - 174. Let k(y) = -14*b(y) - 6*q(y). Solve k(p) = 0 for p.
-87, 1
Factor 44/7*g + 2/7*g**2 + 6.
2*(g + 1)*(g + 21)/7
Let n = -1723 - -12069/7. Factor 2/7*u + 2/7 - 2/7*u**3 + 16/7*u**4 - n*u**5 - 10/7*u**2.
-2*(u - 1)**3*(2*u + 1)**2/7
Let v(j) be the second derivative of j**6/35 - 39*j**5/70 + 4*j**4 - 80*j**3/7 + 119*j - 1. Factor v(i).
6*i*(i - 5)*(i - 4)**2/7
Let o(l) be the second derivative of 2*l**6/105 - 67*l**5/35 - 68*l**4/21 + 239*l. Factor o(h).
4*h**2*(h - 68)*(h + 1)/7
Let f(j) = -36*j**2 + 120*j - 106. Let n(z) = 36*z**2 - 120*z + 107. Let b be 1*12*((-22)/(-4) - 6). Let k(x) = b*n(x) - 7*f(x). Factor k(p).
4*(3*p - 5)**2
Let u = -822/5 - -165. What is b in 0*b**2 + 0*b - 3/5*b**5 - u*b**4 + 0 + 6/5*b**3 = 0?
-2, 0, 1
Let b(y) be the second derivative of y**8/2184 - y**6/390 + y**4/156 - 3*y**2 + 3*y - 1. Let d(v) be the first derivative of b(v). Find z, given that d(z) = 0.
-1, 0, 1
Let h be (16/24)/((-1)/12). Let t be h/(-6) - 1/((-18)/12). Suppose 4/3*q**t + 64/3 + 32/3*q = 0. What is q?
-4
Let l(j) be the first derivative of j**4/16 - j**3/2 + 8*j - 55. Factor l(d).
(d - 4)**2*(d + 2)/4
Let x(y) be the second derivative of -y**7/147 + 4*y**6/105 - y**5/35 - 2*y**4/21 + y**3/7 + 13*y + 11. Find q, given that x(q) = 0.
-1, 0, 1, 3
Let l(g) be the third derivative of -g**5/20 + 7*g**4/8 + 22*g**3 - 179*g**2 + 2. Factor l(y).
-3*(y - 11)*(y + 4)
Let b = 93 + -72. Determine a so that 12*a - b*a + 8*a**2 - 6*a**3 + 0*a**3 + 7*a = 0.
0, 1/3, 1
Let g(r) = 23*r**2 + 547*r - 38093. Let q(k) = 14*k**2 + 273*k - 19047. Let x(i) = -3*g(i) + 5*q(i). Factor x(d).
(d - 138)**2
Let k(m) be the third derivative of 0*m + 8/33*m**3 + 1/165*m**5 + 30*m**2 + 0 - 1/1155*m**7 + 1/220*m**6 - 1/11*m**4. Determine r, given that k(r) = 0.
-2, 1, 2
Let r(k) be the first derivative of -k**5/20 - 9*k**4/8 - 4*k**3 - 23*k**2/4 - 15*k/4 + 270. Factor r(f).
-(f + 1)**3*(f + 15)/4
Factor -w - 15*w - w**4 - 26*w**5 + 7*w**4 - 7*w**3 + 3*w**3 + 28*w**5 - 24*w**2.
2*w*(w - 2)*(w + 1)*(w + 2)**2
Let c(o) be the second derivative of 0 - o - 5/2*o**6 - 5/42*o**7 - 675/2*o**3 - 45/2*o**5 - 1215/2*o**2 - 225/2*o**4. Determine t so that c(t) = 0.
-3
Let i(x) be the third derivative of -13*x**2 + 0*x - x**5 + 0 + 2/3*x**4 + 7/60*x**6 + 0*x**3. Solve i(w) = 0 for w.
0, 2/7, 4
Suppose 15*o - 12 - 3 = 0. Suppose 4*c + 6*c**2 + o + 3*c**4 - 2*c**4 + 6*c**3 - 2*c**3 = 0. What is c?
-1
Let y be ((-4)/6)/(-10 - 145/(-15)). Let g(k) be the second derivative of 4/3*k**3 - 1/6*k**4 + 0 - 4*k**y + 4*k. Factor g(q).
-2*(q - 2)**2
Let g(r) = -35*r**2 + 680*r - 1805. Let w(m) = -3*m**2 + 62*m - 164. Let d(l) = 4*g(l) - 45*w(l). Factor d(i).
-5*(i - 2)*(i + 16)
Let p(k) be the third derivative of k**8/84 + 4*k**7/35 + 3*k**6/10 + 4*k**5/15 - 48*k**2. Factor p(c).
4*c**2*(c + 1)**2*(c + 4)
Suppose 0 = 533*v - 557*v + 48. Factor 1024/9 + 128/3*l + 16/3*l**v + 2/9*l**3.
2*(l + 8)**3/9
Let c be 38/8 + 2*1/8. Suppose 3*b - s + 1 = c, -2*b = 2*s - 16. Determine p so that 1/2*p**2 + 1/4*p + 0 + 1/4*p**b = 0.
-1, 0
Let r(n) be the second derivative of n**4/15 - 32*n**3/3 + 312*n**2/5 - n - 32. What is g in r(g) = 0?
2, 78
Determine x, given that -201/4*x + 51*x**3 + 51/2 - 3/4*x**5 - 24*x**4 - 3/2*x**2 = 0.
-34, -1, 1
Find f, given that 3/7*f**2 - 32/7*f - 3/7 + 32/7*f**3 = 0.
-1, -3/32, 1
Suppose 36*o = 20 + 52. Determine u, given that -2/3 - 2/9*u**3 + 10/9*u - 2/9*u**o = 0.
-3, 1
Suppose -392/9*i**4 - 2*i + 50/3*i**2 - 224/9*i**3 + 0 = 0. Calculate i.
-1, 0, 3/14
Solve -3/2*r - 4*r**2 + 0 = 0 for r.
-3/8, 0
Let f be 25/2*(72/(-10) + 8). Factor 5*q**2 - f*q**3 + 26 - 5*q**4 - 26 + 10*q.
-5*q*(q - 1)*(q + 1)*(q + 2)
Let s(x) be the second derivative of x**6/10 - 9*x**5/5 + 17*x**4/4 + 15*x**3 + 388*x. Determine g, given that s(g) = 0.
-1, 0, 3, 10
Let r(g) be the second derivative of 0*g**2 + 0 - 3/5*g**5 - 2/15*g**6 + 7*g - 2/3*g**4 + 0*g**3. Solve r(f) = 0.
-2, -1, 0
Let t(p) be the third derivative of p**8/1176 - p**6/42 + 3*p**4/28 + 151*p**2. Let t(m) = 0. Calculate m.
-3, -1, 0, 1, 3
Find u, given that -243 - 787*u**4 - 6*u**5 + 368*u**4 - 46*u**2 + 240*u**3 - 594*u + 392*u**4 - 44*u**2 = 0.
-9, -1, -1/2, 3
Let p(b) be the first derivative of 0*b**2 - 1/4*b**4 + 5*b - 1/2*b**3 - 4. Let i(c) be the first derivative of p(c). What is g in i(g) = 0?
-1, 0
Let 24 - 207*f - 608*f**5 - 52*f**2 + 609*f**5 + 99 + 78*f**3 + 18*f**4 + 39 = 0. What is f?
-9, -2, 1
Factor 264/7*h**2 + 0 - 432/7*h - 51/7*h**3 + 3/7*h**4.
3*h*(h - 9)*(h - 4)**2/7
Let c(s) = -s**3 - 5*s**2 + 12*s - 12. Let v be c(-7). Let t(h) be the third derivative of -2/3*h**3 + 1/30*h**5 + 0*h - 2*h**v + 0 - 1/12*h**4. Factor t(f).
2*(f - 2)*(f + 1)
Let p(b) be the second derivative of 2*b**5/35 - b**4/6 - 2*b**3/21 + 144*b. Find i, given that p(i) = 0.
-1/4, 0, 2
Let k be 1/(-2*(-1)/18). Suppose 815*t - 4*j - 24 = 814*t, 0 = -3*t + 5*j + 37. Factor -3/4*n**t - 39/4*n**2 - k*n - 3 - 9/2*n**3.
-3*(n + 1)**2*(n + 2)**2/4
Let f(g) be the third derivative of -g**7/1470 + 11*g**6/840 - g**5/10 + 17*g**4/42 - 20*g**3/21 - 368*g**2 - g. Factor f(s).
-(s - 5)*(s - 2)**3/7
Let z(j) = -5*j**4 + 14*j**3 + 6*j**2 + 6*j + 6. Let b(v) = 55*v**4 - 155*v**3 - 65*v**2 - 65*v - 65. Let s(w) = 6*b(w) + 65*z(w). Factor s(h).
5*h**3*(h - 4)
Let a(g) be the first derivative of -3*g**5/5 - 3*g**4/4 + 3*g**3 + 3*g**2/2 - 6*g - 24. Factor a(s).
-3*(s - 1)**2*(s + 1)*(s + 2)
Let j(w) be the first derivative of -6*w**5/5 - w**4/2 + 16*w**3/3 - 4*w**2 + 83. Determine h, given that j(h) = 0.
-2, 0, 2/3, 1
Let f(d) = -3*d**4 - 30*d**3 - 62*d**2 - 40*d. Let m(k) = -5*k**4 - 60*k**3 - 125*k**2 - 80*k. Let r(v) = 5*f(v) - 2*m(v). Let r(b) = 0. Calculate b.
-2, 0
Let r be (46/(-39) - 58/377)*(-6)/4. Solve -1/2 + 1/6*x**r + 1/3*x = 0.
-3, 1
Factor 8*y - 123*y**2 - 118*y**2 + 2*y**3 + 249*y**2.
2*y*(y + 2)**2
Let q = -2941 + 2943. Factor -1/5*h**q + 2/5 + 1/5*h.
-(h - 2)*(h + 1)/5
Factor -2/11*p**2 - 124/11*p + 126/11.
-2*(p - 1)*(p + 63)/11
Let r = 13/15 - -7/15. Let h(g) be the second derivative of -r*g**3 + 7/30*g**6 - 1/42*g**7 - 9/10*g**5 + 5/3*g**4 + 0*g**2 + 6*g + 0. Factor h(b).
-b*(b - 2)**3*(b - 1)
Suppose 98/13 + 2/13*j**2 - 28/13*j = 0. Calculate j.
7
Suppose 0 = 95*m + 8*m + 5*m. Solve 24*f**4 - 12*f**3 + 8/3*f**2 + m - 2/9*f - 18*f**5 = 0 for f.
0, 1/3
Let l be (14/35)/((-2)/(-10)). Suppose l*u + 6 - 13 = -x, -8 = 4*x - 4*u. Let -45*t**2 - 2*t + 5 - x + 43*t**2 = 0. Calculate t.
-2, 1
Let t(s) = -239 + 16*s**2 + 2*s - 15*s**2 + 45*s. Let k(n) = 2*n**2 + 48*n - 238. Let z(v) = -3*k(v) + 4*t(v). Factor z(l).
-2*(l - 11)**2
Factor 28*v + 12 - 7 + 30*v**2 + v**3 - 5 + v**3.
2*v*(v + 1)*(v + 14)
Let v(n) be the first derivative of n**6/24 - 3*n**5/20 + n**4/16 + n**3/4 - n**2/4 - 22. Suppose v(t) = 0. Calculate t.
-1, 0, 1, 2
Let d(o) = 2*o**2 + 15*o - 24. Suppose 3*g + 62 = 35. Let w be d(g). Factor w*a - 1/2*a**2 - 9/2.
-(a - 3)**2/2
Let o = 1136 - 1129. Let j(z) be the third derivative of o*z**2 + 0*z**4 + 0*z + 1/840*z**7 + 0*z**3 - 1/240*z**5 + 0 + 0*z**6. What is d in j(d) = 0?
-1, 0, 1
Solve 45*n - 85/2 - 5/2*n**2 = 0 for n.
1, 17
Let p = -2120609/7 - -303473. Let r = 534 - p. Suppose 0*w + 0 + 3*w**5 - r*w**4 + 6/7*w**2 + 9/7*w**3 = 0. What is w?
-2/7, 0, 1
Let p = -190 + 191. Let a(l) be the first derivative of -5/7*l**2 - 8/21*l**3 - 1/14*l**4 - 4/7*l + p. Let a(s) = 0. Calculate s.
-2, -1
Let v(l) be the second derivative of l**6/75 - 7*l**5/50 - l**4/30 + 7*l**3/15 + 7*l - 11. Suppose v(w) = 0. What is w?
-1, 0, 1, 7
Let z(m) be the third derivative of 0 + 0*m**3 - 1/6*m**4 + 0*m - 10*m**2 - 1/30*m**5. Factor z(s).
-2*s*(s + 2)
Let j be (-80 - 0)*24/(-60). Let m be -34 - -30 - j/(-6). Solve -2/3*x**5 - m*x**3 + 2*x**4 - 4/3*x**2 + 2*x - 2/3 = 0.
-1, 1
Let u(f) be the first derivative of f**5/45 + f**4/4 + 23*f**3/27 + 5*f**2/6 - 73. Factor u(x).
x*(x + 1)*(x + 3)*(x + 5)/9
Determine k, given that -839*k**3 - 45*k**4 - 486*k**2 - 3*k**4 + 24 + 315*k**5 + 132*k - 118*k**3 = 0.
-1, -2/15, 2/7, 2
Let k(