tive of c(r). Factor k(d).
-4*(d + 35)**2
Let h = 789488 + -789486. Solve 0 - 4/15*j**h - 2/15*j**3 + 2/5*j = 0.
-3, 0, 1
Let h(k) be the second derivative of 18/5*k**2 - 1/20*k**4 + 1/10*k**3 + 194*k + 0. Solve h(r) = 0.
-3, 4
Let f(o) be the first derivative of o**5/4 + 5*o**4/2 - 5*o**3/6 - 15*o**2 - 28*o - 37. Let p(r) be the first derivative of f(r). Factor p(g).
5*(g - 1)*(g + 1)*(g + 6)
Suppose 2*i - d + 6 = 0, d - 3*d = 8. Let u(r) = r**3 + r**2 - r. Let z(j) = 2*j**3 + 2*j**2 - 2*j + j + 0*j**2 - 4*j. Let p(n) = i*u(n) + z(n). Factor p(o).
-3*o**2*(o + 1)
Let i be ((-33)/6)/(3*(-9)/54). Find z, given that i*z + 3*z**2 + 17*z + z**3 - 26*z = 0.
-2, -1, 0
Let h(n) be the first derivative of n**3/4 + 69*n**2/8 - 510*n - 4829. Solve h(j) = 0.
-40, 17
Let l be (-60)/(-420) - (-13)/7. Let r(j) be the second derivative of 1/18*j**4 + 0 - 1/30*j**5 - 49*j + 4/9*j**3 - 4/3*j**l. Solve r(q) = 0 for q.
-2, 1, 2
Factor -728 - 1620*v - 36*v**2 + 11597*v - 3914*v - 2779*v.
-4*(v - 91)*(9*v - 2)
Let t(q) = 13*q**3 - 421*q**2 + 6998*q - 32500. Let u(c) = -56*c**3 + 1682*c**2 - 27991*c + 130000. Let o(h) = 9*t(h) + 2*u(h). Factor o(n).
5*(n - 65)*(n - 10)**2
Let t(h) be the third derivative of -h**7/105 + h**6/24 - 5*h**4/24 + h**3/3 - 242*h**2. Suppose t(r) = 0. What is r?
-1, 1/2, 1, 2
Let r be ((-1210)/(-33))/(-22) + 2. Let x = -454/3 + 152. Factor 5/3*y + y**2 + x - 1/3*y**4 - r*y**3.
-(y - 2)*(y + 1)**3/3
Let t be (3224/429 + -9 - 2/6) + 4. Factor 2/11*m**2 + t*m + 0.
2*m*(m + 12)/11
Let -203804232*x + 29597042*x**3 + 2940914382*x - 341907750 + 38*x**5 - 6*x**5 - 53296*x**4 - 5485312530*x**2 = 0. What is x?
1/4, 555
Let r(s) be the second derivative of -3*s**5/20 + 1529*s**4/4 - 3055*s**3/2 + 4581*s**2/2 - 2*s + 1334. Find y, given that r(y) = 0.
1, 1527
Let c(i) be the third derivative of 13*i**5/30 - 115*i**4/12 - 6*i**3 - 108*i**2 + 5. Solve c(j) = 0 for j.
-2/13, 9
Let b(q) be the second derivative of -q**6/120 - 7*q**5/40 - 7*q**3/2 + 2*q + 23. Let u(r) be the second derivative of b(r). Find x such that u(x) = 0.
-7, 0
Factor 79*u - 2*u**3 - 12*u + 29*u + 10*u**2 - 674 + 170.
-2*(u - 6)**2*(u + 7)
Let w be 1 + 8 - (24 - 17). Solve -w*v**2 + 0*v**3 + 4*v**2 - 2*v**3 + 2*v - v**2 + v**3 = 0 for v.
-1, 0, 2
Let z(i) = 2*i**3 - 228*i**2 - 286*i + 1784. Let n(r) = -3*r**3 + 210*r**2 + 286*r - 1783. Let h(t) = 4*n(t) + 5*z(t). Factor h(o).
-2*(o - 2)*(o + 3)*(o + 149)
Let m(b) be the second derivative of -68/39*b**3 + 0 + 10/39*b**4 - 1/130*b**5 + 64/13*b**2 - 62*b. What is q in m(q) = 0?
2, 16
Let t(v) be the second derivative of 11/54*v**4 + 23*v - 10/27*v**3 + 0 - 1/90*v**5 + 0*v**2. Factor t(k).
-2*k*(k - 10)*(k - 1)/9
Let 16*j**2 - 20*j - 11/3*j**3 + 16/3 = 0. What is j?
4/11, 2
Let y = 9231115/1176513 - 1/90501. Factor 14/13*q**2 + 28/13 - y*q.
2*(q - 7)*(7*q - 2)/13
Let b = 428407/80 + -5355. Let j(o) be the third derivative of 1/160*o**6 + b*o**5 + 0*o - 7*o**2 + 11/32*o**4 + 0 + 5/8*o**3. Find i such that j(i) = 0.
-5, -1
Let b(m) be the third derivative of m**5/180 - 25*m**4/24 - 77*m**3/9 - m**2 - 1368*m. Let b(l) = 0. Calculate l.
-2, 77
Let l(z) be the third derivative of z**5/30 - 65*z**4/4 - 196*z**3/3 + 214*z**2 + 2*z - 1. Determine g, given that l(g) = 0.
-1, 196
Let b = -1024 + 983. Let w be -41 - b - (1 - (-30)/(-4)). Factor w*z**2 - 5/2*z**3 - 2*z - 2.
-(z - 2)*(z - 1)*(5*z + 2)/2
Determine o, given that 29/2*o**3 - 29 - 15/2*o**2 - 97/2*o + 5/2*o**4 = 0.
-29/5, -1, 2
Suppose 19*s + 1541 = 7032. Factor -18*x**4 + 358*x**2 + 109*x + 19*x**4 + 0*x + s + 18*x**3 + 18*x**3 + 503*x.
(x + 1)**2*(x + 17)**2
What is r in 111/10 - 37/10*r**4 + 107/5*r**2 - 1/10*r**5 - 293/10*r + 3/5*r**3 = 0?
-37, -3, 1
Let g(l) = -l - 4. Let c be g(-4). Suppose 5*q - 23 = s, -2*q + 155 = s + 150. Let 4/3*m**5 + 8/3*m**q - 8/3*m**2 + c - 4/3*m**3 + 0*m = 0. Calculate m.
-2, -1, 0, 1
Let n(o) be the third derivative of 1/20*o**4 - 3/100*o**5 + 0*o - 2 + 1/10*o**3 + 13*o**2. Factor n(t).
-3*(t - 1)*(3*t + 1)/5
Suppose 9*z - 203 = -230. Let x(n) = -n**2 + 13*n + 51. Let j be x(z). Find b such that -1/10*b**2 + 1/10*b**5 + 1/5*b + 1/10*b**4 - 3/10*b**j + 0 = 0.
-2, -1, 0, 1
Suppose 2*b + 9*b = 22. Solve -28*v - b*v**2 - 15*v - 42 - v = 0 for v.
-21, -1
Let r(k) = 130*k**2 + 777*k - 18. Let v be r(-6). Let s(a) be the second derivative of v*a**2 + 0 - 3/20*a**5 - 3/2*a**4 + 0*a**3 + 26*a. Factor s(c).
-3*c**2*(c + 6)
Let v(t) = t**2 - 32*t - 32. Let r(q) = -16*q - 16. Let l = -33 + 42. Let g(k) = l*r(k) - 4*v(k). Factor g(n).
-4*(n + 2)**2
Suppose -24*z + 4*j = -23*z + 2, 12 = 2*z - 4*j. Determine t so that -1078*t**4 + z + 4*t + 2159*t**4 - 4*t**3 - 18*t**2 + 6 - 1079*t**4 - 4 = 0.
-2, -1, 1, 4
Suppose 0 = -22*d + 23*d - 10. Factor v + 11 + 27*v + 12*v + 4*v + 43 - d*v**2.
-2*(v + 1)*(5*v - 27)
Let s(x) be the second derivative of -x**6/40 + 7*x**5/20 - 5*x**4/4 + 37*x**2 - 56*x. Let j(q) be the first derivative of s(q). Solve j(o) = 0.
0, 2, 5
Suppose 0 = 32*r + 64*r. Let u(s) be the second derivative of r*s**2 + 2/51*s**4 + 13*s + 0 + 1/170*s**5 + 4/51*s**3. Factor u(i).
2*i*(i + 2)**2/17
Let c be 10*(-4)/20*6/(-28). Find i such that -3/7*i**2 + 0 + c*i**3 - 6/7*i = 0.
-1, 0, 2
Let j(t) be the third derivative of 56*t**2 + 0*t - 2/9*t**4 + 0 + t**3 - 1/90*t**5. Solve j(x) = 0.
-9, 1
Let v be ((-12)/207)/(1124/(-38778)). Suppose -46/3*l + 0 + 1/3*l**3 + 15*l**v = 0. What is l?
-46, 0, 1
Suppose p = -5*w - 9, 6*w = -19*p + 20*p + 9. Let o(j) be the third derivative of -j + 1/30*j**5 + w + 4/3*j**3 - 3*j**2 + 1/3*j**4. Factor o(f).
2*(f + 2)**2
Let x = 327804 - 2294568/7. Factor -46/7*s**3 + 18/7*s + 0 - 8/7*s**4 - x*s**2.
-2*s*(s + 3)**2*(4*s - 1)/7
Suppose 3*u - 418 + 406 = 0. Let h be (-12)/(-15) + ((-392)/(-35) - 12). Factor 2/7*v**2 - 2/7*v**u + 0*v + 0 + h*v**3.
-2*v**2*(v - 1)*(v + 1)/7
Let j(q) be the first derivative of q**2/2 + 29*q - 6. Let c be j(-26). Factor -c*l - 6*l + 10*l + l**2.
l*(l + 1)
Let j be (-3382)/(-13) + (-32)/208. Let q be (-116)/j - (-6 - 81/(-15)). Suppose -2/13 + q*o**2 - 2/13*o**3 + 2/13*o = 0. Calculate o.
-1, 1
Let m be 11 + (-12789)/196*2/12. Determine f, given that 0 - 1/8*f**3 + m*f**2 + 0*f = 0.
0, 1
Let i be 1 - (-63328)/(-176) - 4/22. Let h be i/(-66) - (-276)/4554. Let -63/8*d**4 + 9/4*d**5 + h*d**2 - d + 0 + 17/4*d**3 = 0. What is d?
-2/3, 0, 1/6, 2
Let w(m) = -10*m**2 + 251*m + 4407. Let r be w(37). Find v such that -205*v**2 - 40*v**r + 190*v**3 + 5/2*v**5 - 385/2*v + 245 = 0.
-1, 1, 2, 7
Let w(y) be the second derivative of -y**7/12600 - y**6/900 - y**5/200 + 3*y**4 + 16*y - 1. Let i(q) be the third derivative of w(q). What is x in i(x) = 0?
-3, -1
Suppose -2*v + 62 = -4*u, 2*v - 27 = -3*u + 35. Let m = v + -29. Factor -2*w - 13 + 5 + 8 + m*w**2.
2*w*(w - 1)
Let w(x) = -11*x**4 + 35*x**3 - 6*x**2 - 126*x + 108. Let v(a) = 16*a**4 - 52*a**3 + 9*a**2 + 189*a - 162. Let i(z) = -5*v(z) - 7*w(z). Factor i(b).
-3*(b - 3)**2*(b - 1)*(b + 2)
Let a = 456174/28021 + 24/4003. Determine m, given that -48/7 - a*m**2 + 6*m**3 - 204/7*m = 0.
-1, -2/7, 4
Let c(x) = x**3 - 2*x**2 + 5*x - 7. Let d be c(2). Let f(u) be the second derivative of 4*u - 4/39*u**d - 1/78*u**4 - 4/13*u**2 + 0. Factor f(j).
-2*(j + 2)**2/13
Let t(g) be the second derivative of -g**4/54 + 155*g**3/27 + 158*g**2/3 + 320*g. Factor t(j).
-2*(j - 158)*(j + 3)/9
Factor -128/7*n - 4/7*n**2 + 0.
-4*n*(n + 32)/7
Suppose -55 + 61 + 4795848*l**3 - 150 - 18*l**4 - 4795834*l**3 - 504*l + 652*l**2 = 0. Calculate l.
-6, -2/9, 1, 6
Factor 2128664522 - 4765499*q + 6126*q**2 - 29160*q - 2*q**3 - 1459987*q.
-2*(q - 1021)**3
Let q(h) = -3*h**3 - 4*h**2 - 2*h + 5. Let k be q(0). Let o(d) be the second derivative of 0 - 1/6*d**3 - 1/60*d**k - 15*d - 1/9*d**4 + 0*d**2. Factor o(t).
-t*(t + 1)*(t + 3)/3
Let y(m) be the second derivative of 5/12*m**4 - 34*m - 1/5*m**5 + 0 - 1/3*m**3 + 1/30*m**6 + 0*m**2. Factor y(k).
k*(k - 2)*(k - 1)**2
Suppose -2/7*q**4 + 4*q**2 + 0 - 2*q**3 + 96/7*q = 0. What is q?
-8, -2, 0, 3
Let y(j) = 15*j**2 - 60*j + 160. Let r(i) = 17*i**2 - 59*i + 162. Let b(v) = -5*r(v) + 6*y(v). Factor b(k).
5*(k - 10)*(k - 3)
Let f(a) be the second derivative of a**4/21 - 134*a**3/21 - 60*a**2 - 936*a. Let f(v) = 0. Calculate v.
-3, 70
Let l(g) be the second deri