*3 - 6 = 0.
0, 1
Let r(m) be the second derivative of -m**4/4 - 191*m**3/2 - 567*m**2 - 2538*m. Solve r(w) = 0.
-189, -2
Let d(y) be the second derivative of -1/75*y**6 + 7*y - 2 - 3/10*y**5 - 36/5*y**3 - 12/5*y**4 + 0*y**2. Factor d(o).
-2*o*(o + 3)*(o + 6)**2/5
Let x(y) = -y**3 - 11*y**2 + 28*y + 28. Let g be x(-13). Factor -4*t + 10*t**2 - 21*t**g - 30 + 0*t + 13*t**2.
2*(t - 5)*(t + 3)
Let c(y) be the third derivative of 2*y**8/357 + 8*y**7/255 - 13*y**6/340 - 29*y**5/510 - y**4/51 + 106*y**2. What is w in c(w) = 0?
-4, -1/4, 0, 1
Let c(p) be the third derivative of p**6/1260 + 67*p**5/70 + 4343*p**4/12 + 12943*p**3/9 - 2*p**2 + 39*p + 16. Factor c(j).
2*(j + 1)*(j + 301)**2/21
Let y(g) be the first derivative of -9/5*g**6 - 24/5*g - 776/15*g**3 - 261/5*g**4 - 432/25*g**5 - 23*g**2 + 78. Find i such that y(i) = 0.
-4, -3, -1/3
Suppose 0 = -c + 4*l + 22, -l = 4*c + 2*l + 7. Factor 5*q - 4*q**c + 7198 + 3*q**2 - 7204.
-(q - 3)*(q - 2)
Suppose 0 = -4*z - 5*w + 16 + 183, -z = 5*w - 46. Let 12*l**4 + 24*l**2 + z*l**2 + 33*l - 47*l**2 - 19 + 35*l - 21 - 68*l**3 = 0. What is l?
-1, 2/3, 1, 5
Suppose 1026*o - 1028*o + 56 = 0. Suppose b + 5*g = -1 + 15, 5*b + 4*g = o. Factor 0*s + 2/11*s**b + 0*s**2 + 0 + 4/11*s**3.
2*s**3*(s + 2)/11
Let d = -57255/2 - -28629. Determine v so that -3/2*v**2 - d*v + 18 = 0.
-4, 3
Let h(k) = 2*k**4 + 4*k**3 + 140*k**2 + 246*k + 114. Let q(g) = g**4 - 2*g**3 - 2*g**2 + g + 1. Let u(f) = -h(f) + 6*q(f). Find i such that u(i) = 0.
-3, -1, 9
Let n(j) be the third derivative of j**8/84 - 191*j**7/105 + 273*j**6/4 + 2300*j**5/3 - 3125*j**4/3 + 526*j**2 + 4*j. Suppose n(k) = 0. Calculate k.
-5, 0, 1/2, 50
Let u = -204668 - -204671. Solve -2/3*b**4 + 0*b + 21/2*b**u + 8/3*b**2 + 0 = 0.
-1/4, 0, 16
Let n(f) be the first derivative of f**5/2 + 13*f**4/2 + 11*f**3 - 77*f**2 + 185*f/2 - 7451. Suppose n(h) = 0. Calculate h.
-37/5, -5, 1
Let l(q) be the second derivative of 3*q**5/20 + 73*q**4/2 + 5865*q**3/2 + 57132*q**2 + 369*q + 1. Let l(m) = 0. What is m?
-69, -8
Factor -3*x - 1/4*x**3 + 2*x**2 + 0.
-x*(x - 6)*(x - 2)/4
Let q(f) be the first derivative of -f**6/1080 - 2*f**5/135 - 32*f**2 - 10. Let h(c) be the second derivative of q(c). Let h(x) = 0. What is x?
-8, 0
Let l be 0/(9 + (18 - 29)). Factor -20/7*y + l + 2*y**2 - 2/7*y**3.
-2*y*(y - 5)*(y - 2)/7
Let y = 23101 - 46201/2. Factor -y*g**2 - 9/4 + 19/4*g.
-(g - 9)*(2*g - 1)/4
Let i(p) be the first derivative of -2 - 1/30*p**5 + 2/9*p**3 + 5/36*p**4 - 1/2*p**2 - 7*p. Let f(m) be the first derivative of i(m). Factor f(b).
-(b - 3)*(b + 1)*(2*b - 1)/3
Let o(w) be the first derivative of -80*w**3/3 - 225*w**2/2 - 2233. Factor o(i).
-5*i*(16*i + 45)
Suppose -4*n + 195 = -5*v, 7 = -5*v - 8. What is w in -35*w**2 - 45*w - 26 - 8*w**4 + n*w**3 + 3*w**4 + 66 = 0?
-1, 1, 8
Factor 809*m**2 + 5616*m**4 + 404*m + 864*m**5 - 2459 + 2232*m**3 + 2435 - 2901*m**2.
4*(m + 1)*(m + 6)*(6*m - 1)**3
Let c(m) be the first derivative of -3*m**4/20 + 127*m**3/5 + 3*m**2/10 - 381*m/5 - 1006. Factor c(i).
-3*(i - 127)*(i - 1)*(i + 1)/5
Let q(r) be the third derivative of r**5/6 + 55*r**4/24 + 25*r**3/6 + 131*r**2 + 3. Factor q(l).
5*(l + 5)*(2*l + 1)
Suppose 2*f - 70 = 16. Suppose -f = -3*u + 62. Determine j so that -1 + 45*j**2 + 0 - u*j - 9 = 0.
-2/9, 1
Let k(d) = 16*d**2 + 310*d - 11552. Let n(m) = -6*m**2 - 2*m. Let s(f) = 2*k(f) + 6*n(f). Factor s(j).
-4*(j - 76)**2
Let s(b) be the second derivative of -b**5/390 - 2*b**4/39 + 3*b**3/13 - 26*b**2 + 5*b + 4. Let w(v) be the first derivative of s(v). Factor w(q).
-2*(q - 1)*(q + 9)/13
Let 12*t**2 + 80*t**3 + 52*t**2 + 130 - 26 - 164*t - 84*t**3 = 0. What is t?
1, 2, 13
Let j(v) be the first derivative of 2*v**5/35 - 19*v**4/7 + 794*v**3/21 - 684*v**2/7 + 648*v/7 + 373. Factor j(i).
2*(i - 18)**2*(i - 1)**2/7
Let -1/7*t**2 - 76/7*t + 0 = 0. What is t?
-76, 0
Let -7/2 - 1/4*c**2 + 15/4*c = 0. Calculate c.
1, 14
Let u = 4992 + -4989. Let j(k) be the second derivative of -1/4*k**5 - 13*k + 0*k**2 - 5/12*k**4 + 0 + 0*k**u. Solve j(g) = 0 for g.
-1, 0
Determine h so that 323*h**2 + 0 + 289*h + 1/4*h**5 + 19/2*h**4 + 429/4*h**3 = 0.
-17, -2, 0
Let f = -72 - -81. Suppose 4*o - 17 = -f. Factor -2 + 6 - 4*h**2 + 2 + 3*h**o + h.
-(h - 3)*(h + 2)
Factor -63648*c + 621*c**2 - 3/2*c**3 - 129792.
-3*(c - 208)**2*(c + 2)/2
Suppose -41*m = -95*m + 270. Let a(j) be the first derivative of 4/5*j - 16/15*j**3 - 13 - 3/5*j**2 + 24/25*j**m + 4/15*j**6 + 1/2*j**4. Solve a(s) = 0.
-2, -1, 1/2
Let l(h) be the second derivative of -h**4/36 - 14*h**3/9 - 65*h**2/2 - 245*h. Factor l(v).
-(v + 13)*(v + 15)/3
Factor -320/9*u + 4/9*u**2 + 6400/9.
4*(u - 40)**2/9
Factor -96/5 - 352/15*p**2 - 534/5*p.
-2*(11*p + 48)*(16*p + 3)/15
Let t be 43 - 50 - (0 + 1). Let p be 1/(-3) - (-17)/((-204)/t). Factor 1/3*l**2 - 2/3 - p*l.
(l - 2)*(l + 1)/3
Let d(v) be the second derivative of v**6/120 - 9*v**5/160 + 13*v**4/96 - v**3/8 - 1024*v. Factor d(y).
y*(y - 2)*(y - 1)*(2*y - 3)/8
Let c = 6613/5 + -70823/55. Factor -108/11*x**3 - 864/11*x - c - 6/11*x**4 - 582/11*x**2.
-6*(x + 1)**2*(x + 8)**2/11
Determine j so that 65*j + 129*j**2 + 30699*j**4 - 18*j**2 - 47*j + 21*j**5 - 111*j**3 - 30738*j**4 = 0.
-2, -1/7, 0, 1, 3
Let m = -69455 - -69457. Find h, given that 16/5*h**m - 6/5 - 2*h = 0.
-3/8, 1
Let q = 52445 + -419551/8. Suppose -3/4*p**3 + 3/8*p**5 - 3*p + q*p**4 + 0 - 9/2*p**2 = 0. What is p?
-2, -1, 0, 2
Let o(l) be the first derivative of l**4/22 + 70*l**3/33 - 114*l**2/11 + 1206. Factor o(v).
2*v*(v - 3)*(v + 38)/11
Factor 2/5*l**4 + 4212/5*l**2 + 32*l**3 - 39366/5 + 34992/5*l.
2*(l - 1)*(l + 27)**3/5
Let b be (90/20)/((-4)/(-88)). Let u be 0 + -1 + (6 - 473/b). Factor 0 + 0*r + 2/9*r**4 - 4/9*r**2 - u*r**3.
2*r**2*(r - 2)*(r + 1)/9
Let u(t) = t**2 - 18*t - 355. Let l be u(30). Suppose 3*a - 5*q = -5 + 55, a = 4*q + l. Let -15/2 - a*s - 15/2*s**2 = 0. What is s?
-3, -1/3
Let t(u) be the third derivative of 0 + 5/3*u**3 + 0*u - 5/24*u**6 - 121*u**2 + 25/24*u**4 - 1/6*u**5. Factor t(g).
-5*(g - 1)*(g + 1)*(5*g + 2)
Let f(i) be the third derivative of -1/12*i**5 + 0 - 25/2*i**3 + 0*i - 79*i**2 - 5/3*i**4. Factor f(s).
-5*(s + 3)*(s + 5)
Let x = -230 + 234. Factor 0*r**2 + 3*r**2 + x*r**3 - 96 + 216*r - 63*r**2 - 64*r.
4*(r - 12)*(r - 2)*(r - 1)
Let m(h) = -h**3 + 4*h**2 + 12*h + 1. Let a be m(-3). Factor -a*u**2 + 57*u**2 - 28*u**2.
u**2
What is m in -200 + 30*m + 2*m + 38*m**2 - 64 - 36*m**2 = 0?
-22, 6
Let u(p) be the third derivative of p**6/30 - 2*p**5/15 - p**4/4 + p**3 - 103*p**2. Let o(j) = j**3 - j**2 - j + 1. Let t(s) = 12*o(s) - 2*u(s). Factor t(c).
4*c**2*(c + 1)
Let d = 462 + -468. Let s(q) = -7*q**4 + 3*q**3 + 18*q**2 - 34*q + 24. Let b(l) = l**4 - 2*l**2 + l. Let r(k) = d*b(k) - s(k). Solve r(y) = 0.
-3, 2
Let w(p) be the first derivative of 11*p**2/2 + 4*p - 672. Let m be w(0). Determine a so that -3*a**5 + 0 + 68/3*a**3 + 10*a**m + 5/3*a + 34/3*a**2 = 0.
-1, -1/3, 0, 5
Let k(g) be the first derivative of -2*g**5/5 - 4*g**4/3 - 5*g**3/3 - g**2 + 182*g - 115. Let z(s) be the first derivative of k(s). What is n in z(n) = 0?
-1, -1/2
Let m = 18305/824 + -2198/103. Solve 3/4 - 1/8*x**3 + 0*x**2 + m*x = 0.
-2, -1, 3
Let z(n) be the second derivative of n**7/84 + n**6/24 - n**5/24 - 5*n**4/24 + 13*n**2 - 51*n. Let o(k) be the first derivative of z(k). Factor o(l).
5*l*(l - 1)*(l + 1)*(l + 2)/2
Let t(f) be the second derivative of -f**5/4 + 10*f**4/3 + 160*f**3/3 - 1280*f**2 + 92*f + 5. Factor t(g).
-5*(g - 8)**2*(g + 8)
Let o(n) be the first derivative of 18 + 12*n - 1/42*n**4 - 4/7*n**3 + 13/7*n**2. Let y(j) be the first derivative of o(j). Let y(r) = 0. What is r?
-13, 1
Let q = -27048425/117 - -231163. Let c = q - -188/9. Factor -8/13 - c*h**2 - 2/13*h**3 - 16/13*h.
-2*(h + 1)*(h + 2)**2/13
Let k be (7 - -2)/(-7 + 0 + 8). Suppose -4*w = -k*w - 4*c, w = 4*c. Determine u so that w + 5/2*u**5 + 0*u + 5*u**2 + 0*u**4 - 15/2*u**3 = 0.
-2, 0, 1
Suppose 1 = 3*r + 5*l, -4*r - l + 5 = 2*l. Determine c so that -3*c**4 - 53*c**2 + r*c**5 + c**4 - 4*c**3 + 53*c**2 = 0.
-1, 0, 2
Let a be (-104)/(-217) + 996/(-5146). Suppose 1452/7*j**2 - 104/7*j**3 - 2600/7*j + a*j**4 + 1250/7 = 0. What is j?
1, 25
Let f = 791 - 110739/140. Let p(n) be the third derivative of 1/14*n**4 - 1/30*n**5 - 