 - l*b**3 - b**2 - 5/6*b**5 - 23/12*b**4 + 0 + 0*b. Factor q(d).
-2*(d + 3)*(2*d + 1)*(3*d + 2)
Factor a**4 + 86*a**3 + a**4 + 2462*a - 3430*a + 880*a**2.
2*a*(a - 1)*(a + 22)**2
Let r = -238 - 392. Let c = 3158/5 + r. Factor 0 - 8/5*l**3 - 4/5*l**2 + 4/5*l**4 + c*l.
4*l*(l - 2)*(l - 1)*(l + 1)/5
Let a(m) be the first derivative of -m**4/2 - 130*m**3 - 8787*m**2 + 142814*m + 2193. Let a(k) = 0. Calculate k.
-101, 7
Let j(s) be the first derivative of s**5 + 1155*s**4/4 + 22425*s**3 + 66125*s**2/2 - 2132. Factor j(m).
5*m*(m + 1)*(m + 115)**2
Let k be 1/((-37)/74*(6 - 7)). Find n, given that 16/13 - 20/13*n + 2/13*n**k + 2/13*n**3 = 0.
-4, 1, 2
Let f(b) = -b**3 + 59*b**2 - 511*b + 1031. Let s be f(49). Let o = 1/75 + 67/600. What is p in o*p**3 + 3/8*p**s - 3/8 - 1/8*p = 0?
-3, -1, 1
Let a = 66 - 54. Let w be ((-504)/(-1323))/(a/14). Find z, given that -8/9*z**3 - 4/9*z**2 + 2/9*z**5 + 0 + w*z**4 + 2/3*z = 0.
-3, -1, 0, 1
Let j be (402/18090)/((-4)/(-90)). What is o in 1/2*o**2 - j*o**4 + 3/4*o**5 - o**3 + 0 + 1/4*o = 0?
-1, -1/3, 0, 1
Let s(v) be the first derivative of -v**6/45 + 22*v**5/75 - 31*v**4/30 + 14*v**3/15 + 1102. Solve s(i) = 0.
0, 1, 3, 7
Let s(r) be the third derivative of r**6/24 - 43*r**5/12 - 895*r**4/12 + 1000*r**3/3 + 84*r**2 - r + 4. What is h in s(h) = 0?
-8, 1, 50
Let o = 22 + -35. Let b(f) = 21*f**2 + 67*f - 75. Let c(k) = -10*k**2 - 34*k + 38. Let u(j) = o*c(j) - 6*b(j). Factor u(a).
4*(a - 1)*(a + 11)
Let m(k) = k**2 + 213*k + 8484. Let l be m(-53). Determine z so that 14/5*z**l - 2/5*z**5 + 32/5 + 16/5*z - 46/5*z**2 - 14/5*z**3 = 0.
-1, 1, 4
Let h(y) = -3*y**3 - 23*y**2 - 8*y + 28. Let z be h(-7). Let f be (-1)/(z/17) + (-86)/(-301). Factor -f*d**2 + 3*d - 3/2.
-3*(d - 1)**2/2
Suppose 0 = 5*z + 100 - 10. Let h be (-420)/(-189) - (-4)/z. Factor 0 + 9/5*j**h - 3/5*j**4 + 0*j**3 + 6/5*j.
-3*j*(j - 2)*(j + 1)**2/5
Let a(j) be the first derivative of j**6/8 + 41*j**5/20 + 37*j**4/16 - 257*j**3/12 + 28*j**2 - 12*j - 1069. What is g in a(g) = 0?
-12, -4, 1/3, 1
Let c = 1066 + -614. Let l = c + -3158/7. Determine a, given that -20/7*a - 16/7 + l*a**2 = 0.
-2/3, 4
Let x = -1692 - -1533. Let v be ((-9)/(-8))/(x/(-212)). Determine p so that 0 + 0*p**3 - 1/2*p**4 + v*p**2 - p = 0.
-2, 0, 1
Let t(y) be the second derivative of -y**5/10 + 2533*y**4/6 - 1602755*y**3/3 - 1605289*y**2 + 9369*y. Determine l, given that t(l) = 0.
-1, 1267
Let d(t) = 7*t**3 - 405*t**2 + 57957*t - 2685613. Let k(i) = -8*i**3 + 403*i**2 - 57956*i + 2685612. Let g(o) = 7*d(o) + 6*k(o). Factor g(a).
(a - 139)**3
Let n(i) be the second derivative of -3*i**6/25 - 23*i**5/50 + 28*i**4/45 + 4*i**3/3 + 947*i. Let n(c) = 0. Calculate c.
-3, -2/3, 0, 10/9
Let x(i) be the second derivative of i**7/126 + 71*i**6/90 + 139*i**5/60 + 23*i**4/12 + 5578*i. Let x(w) = 0. Calculate w.
-69, -1, 0
Let l(i) be the second derivative of i**4/42 - 142*i**3/21 - 435*i**2/7 - 4*i + 266. Let l(z) = 0. Calculate z.
-3, 145
Let y(k) = 2*k**2 - 252*k - 19050. Let f(u) = 5*u**2 - 764*u - 57148. Let m(t) = -3*f(t) + 8*y(t). Determine z, given that m(z) = 0.
-138
Suppose 5*z = -2*x + 86, 0 = -4*z + z - x + 51. Factor -38*k**3 + 0*k**2 + 46*k**4 - 54*k**2 - 56*k**4 - z*k + 10*k**2.
-2*k*(k + 1)*(k + 2)*(5*k + 4)
Let m(x) be the first derivative of -x**6/900 - x**5/30 - 4*x**4/15 - 257*x**3/3 - 287. Let t(j) be the third derivative of m(j). Solve t(w) = 0.
-8, -2
Let h be 14/(-8) + 1 - (-350)/8. Determine x so that -21*x**2 - h*x**3 + 12*x**4 - 8*x**4 - 45*x - 14*x**2 + 88*x**3 + 25 + 6*x**4 = 0.
-5, -1, 1/2, 1
Let k = 87720/517 + -7966/47. Determine b, given that k*b**2 - 10/11 - 8/11*b = 0.
-1, 5
Factor -103*j - 103058 + 103056*j**2 + 694*j - 127*j + 2*j**4 - 908*j**3 + 444*j.
2*(j - 227)**2*(j - 1)*(j + 1)
Let p = -2711/176 + 13907/880. Solve 24/5 - p*h**2 - 8/5*h = 0.
-6, 2
Let r(g) = -2*g**2 - 2*g - 6. Let u(l) = 1. Let x(h) = -r(h) - 6*u(h). Let p be x(-2). Factor -5*n**2 + 3*n**2 - 7 - 3 + p*n**2 + 8*n.
2*(n - 1)*(n + 5)
Let h(m) be the third derivative of m**7/315 + m**6/180 - m**5/90 - m**4/36 + 150*m**2. Solve h(i) = 0.
-1, 0, 1
Let i = 199683/8 + -24960. Suppose 15/8 - 9/4*g**2 + i*g = 0. Calculate g.
-5/6, 1
Let k(g) = -60*g - 13. Let z be k(-3). Let y = z - 831/5. Determine a, given that -6/5*a + y + 2/5*a**2 = 0.
1, 2
Let w(r) be the second derivative of r**6/10 + 21*r**5/4 + 173*r**4/4 - 35*r**3/2 - 261*r**2 + r + 1378. Find x, given that w(x) = 0.
-29, -6, -1, 1
Let l = 67318913 + -281325735650/4179. Let w = l - -2/597. Factor -w*x**3 - 1/7*x**4 + 0 - 1/7*x - 3/7*x**2.
-x*(x + 1)**3/7
Suppose 5*m - 8*m = 4*r - 28, 0 = -4*m + 16. Let d be (627/12)/11 - r. Find a such that 0 + 1/4*a**3 - d*a**4 - 1/2*a + 3/4*a**2 + 1/4*a**5 = 0.
-1, 0, 1, 2
Let z be 1 - 7 - (-22)/4 - 831. Let x = 833 + z. Let 9/2*h**3 - 1/2*h**4 + 9/2*h**2 - x*h**5 + 0 + h = 0. Calculate h.
-1, -1/3, 0, 2
Let w(g) = 1208*g - 305585. Let o be w(253). Factor 21*s + o - 75/4*s**2 - 3/4*s**3.
-3*(s - 2)*(s + 1)*(s + 26)/4
Suppose 2*v - 15 = v + 2*f, 3*f + 30 = 3*v. Let q(u) = 14 - 9 - 13 + 6*u**2 + 7*u. Let w(p) = p**2 + p - 1. Let r(l) = v*w(l) - q(l). Factor r(g).
-(g - 1)*(g + 3)
Let w(c) be the second derivative of c**4/72 - 10*c**3/3 + 117*c**2/4 - 3032*c. Factor w(a).
(a - 117)*(a - 3)/6
Let f = -45 - -46. Let g be (-1 - -4*(2 + -1))*f. Let -24*t**g - t + 36*t**2 + 4*t**4 + t - 3*t - 13*t = 0. What is t?
0, 1, 4
Let g = 21538 - 21535. Find i such that 2/3*i**4 - 8/3 - 6*i**2 + 2/3*i**g + 22/3*i = 0.
-4, 1
Let -2/3*n**3 - 20*n**2 + 0*n + 0 + 2/3*n**4 = 0. Calculate n.
-5, 0, 6
Let z(c) be the second derivative of -3*c + 3/4*c**4 - 1/42*c**7 + 3 - 1/6*c**6 - 3/20*c**5 + 0*c**2 + 0*c**3. Let z(r) = 0. What is r?
-3, 0, 1
Let d(h) be the second derivative of 51*h**5/80 - h**4/6 - 1207*h. Factor d(i).
i**2*(51*i - 8)/4
Suppose -9*m = 6*m - 60. Let v(y) = y**3 - 4*y**2 - 24*y + 23. Let l be v(7). Factor m - l*f + 1/4*f**2.
(f - 4)**2/4
Let o = -52 + -187. Let j = 1677/7 + o. Solve -4/7*m**2 + j*m**3 + 0*m + 0 - 1/7*m**4 = 0 for m.
0, 2
Let h(o) be the third derivative of o**6/2700 - 2*o**5/225 + 4*o**4/45 + o**3 + 62*o**2 + 2. Let i(l) be the first derivative of h(l). Factor i(v).
2*(v - 4)**2/15
Let a be ((-5)/40)/((-5)/24). Suppose 7*q = -0*q + 21. Factor -1/5*y**q + 0*y**2 + a*y + 2/5.
-(y - 2)*(y + 1)**2/5
Let u(i) = -2*i**4 + 17*i**3 - 25*i**2 + 6*i - 4. Let g(k) = -k**4 + k**3 + k**2 + 1. Suppose 0 = m + 254 - 258. Let w(n) = m*g(n) + u(n). Factor w(b).
-3*b*(b - 2)*(b - 1)*(2*b - 1)
Let i be 288/504*((-1 - -9) + -1). Let x be -1*(i - (11 + -7)). Let 2/3*f**2 + 4/3*f + x = 0. Calculate f.
-2, 0
Let b = 122 - 118. Factor -b*v**2 + 4*v + 23*v**2 - 9*v + 4*v**3.
v*(v + 5)*(4*v - 1)
Let u(o) = o**2 - 27*o + 167. Let q = 340 + -331. Let z be u(q). What is y in 3/4*y**z + 1/4*y**4 - 9/4*y**3 + 1/2*y + 3/4*y**2 + 0 = 0?
-2, -1/3, 0, 1
Suppose g = -n + 26, 69*g - 107 = 67*g - 13*n. Find u, given that 9/2*u**4 - 9*u + 23/4*u**3 - 5/4*u**5 + 0 - g*u**2 = 0.
-2, -2/5, 0, 3
Let b(v) = v + 2. Let u be b(2). Let z = 7635 + -7635. Factor -8*l**2 - 7*l + l - 2*l**3 - 2*l**2 + z*l + 2*l**u.
2*l*(l - 3)*(l + 1)**2
Let c(r) be the first derivative of -16*r**3/39 - 489*r**2/13 - 122*r/13 - 756. Solve c(j) = 0.
-61, -1/8
Let b = 33006 - 165028/5. Let y(x) be the first derivative of 2*x**2 + b*x**5 + 1/6*x**6 - 4/3*x**3 - 3/4*x**4 + 0*x - 11. Solve y(i) = 0 for i.
-2, 0, 1
Let p = -6990/19 + 368. Let v be (-28)/10 + 2 + 17630/19475. Solve 4/19 - v*x - p*x**2 = 0.
-2, 1
What is m in -8/7*m**5 + 136/7*m**3 + 232/7*m + 46*m**2 + 40/7 - 2/7*m**4 = 0?
-2, -1, -1/4, 5
Let y(d) = -2*d + 27. Let t be -1*(3 + -14) + 3/3. Let x be y(t). Factor 7*b**x + 8*b + 35*b**2 + 0*b**3 - 18*b**4 + 5*b**2 + 7*b**3.
-2*b*(b - 2)*(b + 1)*(9*b + 2)
Let g(o) be the first derivative of -35 - 80*o**5 - 210*o**4 - 84*o**2 - 16*o - 601/3*o**3. Factor g(l).
-(4*l + 1)**2*(5*l + 4)**2
Let x(a) be the third derivative of a**8/784 - 12*a**7/245 + 57*a**6/70 - 268*a**5/35 + 312*a**4/7 - 1152*a**3/7 + 43*a**2. Solve x(h) = 0.
4, 6
Determine v so that -2*v**4 + 28688*v - 2*v**2 + 20*v**2 - 28688*v = 0.
-3, 0, 3
Let d(o) be the first derivative of -2*o**6/33 - 21*o**5/55 + 767*o**4/44 - 185*o**3/11 - 17*o**2/2 - 2158. Determine s, given that d(s) = 0.
-17, -1/4,