*n + 44/21*n**3 + 3/14*n**4 + 20 + 32/7*n**2. Factor z(p).
2*(p + 4)**2*(3*p - 2)/7
Solve -4 - 14/3*n**2 + 46/3*n = 0.
2/7, 3
Suppose k = 5*z + 4, -22642*k - 60 = -2*z - 22646*k. Let 0 + 0*x + 2/9*x**3 + 2/9*x**z = 0. What is x?
-1, 0
Let j(r) be the third derivative of r**6/120 + 2*r**5/15 - 5*r**4/8 - 9*r**3 + 243*r**2 + 1. Factor j(c).
(c - 3)*(c + 2)*(c + 9)
Factor -392/9 + 2/9*c**3 - 2/9*c + 392/9*c**2.
2*(c - 1)*(c + 1)*(c + 196)/9
Suppose 944 + 751 = 709*d + 277. Suppose 0 = 3*n - 4 - 8. Determine x, given that -4/5*x**d - 18/5*x**3 + 0*x - 14/5*x**n + 0 = 0.
-1, -2/7, 0
Let t be (-1480)/(-544) - (-30)/1020. Factor t*j**4 + 0*j**2 + 3/8*j**5 + 0 + 0*j + 7/8*j**3.
j**3*(j + 7)*(3*j + 1)/8
Let z be 55845/935 + 6/22. Suppose -4*l - 4*i = 4, -z*l + 65*l = -4*i - 4. Factor 0 + 6/7*j**2 + l*j - 3*j**3.
-3*j**2*(7*j - 2)/7
Let c = -141607/72 - -15735/8. Suppose -5/3 + c*m**2 - 14/9*m = 0. What is m?
-1, 15
Let f(g) = -13*g**2 - 28987*g - 52678591. Let d(i) = 16*i**2 + 36235*i + 65848238. Let r(w) = -9*d(w) - 11*f(w). Let r(v) = 0. Calculate v.
-3629
Let m(x) = -x**4 - 198*x**3 - 1609*x**2 - 2619*x - 1216. Let l(s) = 200*s**3 + 1616*s**2 + 2620*s + 1216. Let n(j) = -3*l(j) - 4*m(j). Factor n(y).
4*(y + 1)**2*(y + 8)*(y + 38)
Let m(v) = -13*v**2 + 24*v + 65. Let t(y) = 6*y**2 - 12*y - 33. Let o = -28 - -31. Let x(z) = o*m(z) + 7*t(z). Find p such that x(p) = 0.
-2, 6
Let t(z) be the second derivative of -8/3*z**3 + 1/5*z**5 - 24 - 2*z - 8*z**2 + 0*z**4 + 1/30*z**6. Solve t(m) = 0 for m.
-2, 2
Let w = 2527/30 + -789/10. Let y(m) be the first derivative of -48 - 7/3*m**2 - 2/9*m**3 + w*m. Determine f so that y(f) = 0.
-8, 1
Suppose 2*m - 20 = 5*i, m - i = -0 + 4. Let u be (-4 - (-6 + 3))*m. Factor -10/7*t**2 + u + 4/7*t + 8/7*t**3 - 2/7*t**4.
-2*t*(t - 2)*(t - 1)**2/7
Let c(h) = -6*h**3 + 18*h**2 - 23*h + 11. Let s(v) = -8 + 46 + v**3 - 38 - v**2. Let u(n) = c(n) + 5*s(n). Factor u(b).
-(b - 11)*(b - 1)**2
Let v = -24 - -54. Factor 11*t + t**5 + 17*t**3 + 7*t**4 - v*t + 17*t**2 + 25*t.
t*(t + 1)**2*(t + 2)*(t + 3)
Let v(w) be the second derivative of w**5/180 - w**4/18 + 2*w**3/9 + 71*w**2/2 - 16*w + 1. Let y(z) be the first derivative of v(z). Find k such that y(k) = 0.
2
Let o be 9/(-1)*(-4 - 374/(-99)). Suppose -o - 2 - 48*j + 4 + 4*j**2 = 0. What is j?
0, 12
Let z(l) be the second derivative of l**6/120 + l**5/20 - 11*l**4/48 + l**3/4 + 137*l - 2. Determine i, given that z(i) = 0.
-6, 0, 1
Let p = 115 + -113. Factor 21*b + 71*b**p + 23*b**2 + 20 - 33*b**2 - 7*b**3 + 67*b.
-(b - 10)*(b + 1)*(7*b + 2)
Let p(c) be the third derivative of 1/420*c**6 - 2*c**2 + 1/42*c**4 - 1/70*c**5 + 0*c**3 + 0*c - 2. Suppose p(w) = 0. What is w?
0, 1, 2
Let o(a) be the third derivative of 0*a**4 + 1/135*a**7 + 0*a**3 + 0*a + a**2 + 1/270*a**5 + 54 + 1/108*a**6 + 1/504*a**8. Factor o(h).
2*h**2*(h + 1)**2*(3*h + 1)/9
Let b = -57468 - -57471. Factor -3/10*n**2 + 0 - 2/5*n + 1/10*n**b.
n*(n - 4)*(n + 1)/10
Find p such that 8/3*p**3 - 182/3*p**2 + 44/3 + 130/3*p = 0.
-1/4, 1, 22
Let r(f) be the first derivative of f**5/55 - 13*f**4/11 - f**3/11 + 7*f**2 + 104*f/11 - 351. Let r(q) = 0. Calculate q.
-1, 2, 52
Let c(a) = 6*a**2 + 38*a - 256. Let i(z) = 8*z**2 + 30*z - 258. Let m(n) = -5*c(n) + 4*i(n). Determine h so that m(h) = 0.
4, 31
Factor -3244/7*v - 4/7*v**3 - 1620/7 - 1628/7*v**2.
-4*(v + 1)**2*(v + 405)/7
Let s(l) = -l**4 - 15*l**3 + 80*l**2 - 160*l + 86. Let a(f) = -2*f**4 - 15*f**3 + 81*f**2 - 160*f + 81. Let g(o) = -4*a(o) + 6*s(o). Factor g(k).
2*(k - 6)*(k - 4)**2*(k - 1)
Let u(h) be the third derivative of h**5/12 - 125*h**4/24 + 70*h**3 - 19*h**2 - 13*h + 2. Suppose u(z) = 0. What is z?
4, 21
Let l = -64 - -67. Suppose -l*p + 3 = -3. What is t in -t**p - 3*t**2 + 2*t**2 = 0?
0
Let g(q) be the second derivative of -5*q**7/14 + 17*q**6/3 - 10*q**5 - 805*q**4/6 - 1225*q**3/6 - 3*q + 550. Let g(f) = 0. Calculate f.
-5/3, -1, 0, 7
Let m = -525779/90 + 5842. Let a(k) be the third derivative of 4*k**2 + m*k**6 + 0*k - 128/9*k**3 - 4/15*k**5 + 0 + 8/3*k**4. Find j such that a(j) = 0.
4
Let a(r) = r**4 - 2*r**2 + r. Let c(s) = -s**5 + 16*s**4 - 6*s**3 - 46*s**2 + 49*s. Let f(z) = 18*a(z) - 2*c(z). Factor f(t).
2*t*(t - 5)*(t - 2)**2*(t + 2)
What is h in 2341*h + 1350 + 1196*h - 4890*h + 3*h**2 = 0?
1, 450
Suppose -6*h + 88 = 34. Solve -n**2 - 14 + 11*n - 5*n + h*n = 0.
1, 14
Let k(l) be the third derivative of -l**9/10080 + 3*l**8/4480 + 89*l**4/24 - 2*l**2 - 61. Let p(c) be the second derivative of k(c). Factor p(t).
-3*t**3*(t - 3)/2
Let s(a) be the second derivative of a**5/40 - 3*a**4 + 108*a**3 + 5*a - 69. Let s(z) = 0. Calculate z.
0, 36
Let l(x) be the second derivative of -9*x**3 + 88*x - 7/3*x**7 + 2 - 28/5*x**6 + 41/3*x**4 + 2*x**2 + 38/5*x**5. Find g, given that l(g) = 0.
-2, -1, 1/7, 1
Find j such that 2/3*j**2 + 22/3*j - 70/9 - 2/9*j**3 = 0.
-5, 1, 7
Let s(y) = -4*y**4 + 11*y**3 + 11*y**2 - 18. Let c(x) = 13*x**4 - 33*x**3 - 34*x**2 + 57. Let w(t) = 6*c(t) + 19*s(t). Determine v, given that w(v) = 0.
-5, -1/2, 0
Let 1/3*l**2 + 133/3 + 26/3*l = 0. What is l?
-19, -7
Let z(b) be the second derivative of 30*b**2 - 37*b - 35/6*b**3 + 0 + 5/12*b**4. Solve z(n) = 0.
3, 4
Suppose -9/4*v**5 + 0*v + 45/2*v**2 - 573/8*v**4 + 0 - 123*v**3 = 0. Calculate v.
-30, -2, 0, 1/6
Let u(h) be the second derivative of 0*h**2 + 0*h**3 - 1/60*h**5 - 27*h + 0 + 1/6*h**4. Determine r so that u(r) = 0.
0, 6
Let l(f) be the third derivative of 0*f**3 - 16/735*f**7 - f - 1/1176*f**8 - 8/35*f**6 + 0 - 33*f**2 - 128/105*f**5 - 64/21*f**4. Let l(k) = 0. What is k?
-4, 0
Let u(f) be the second derivative of -f**4/48 + 493*f**3/3 - 486098*f**2 + 183*f - 17. Suppose u(a) = 0. What is a?
1972
Let 3*p**3 + 47 - 64*p**2 + 4*p**4 - 16*p + 2*p**3 - p**3 + 129 + 16 = 0. What is p?
-4, -2, 2, 3
Let y(s) = -13*s**2 + 17*s + 27. Let o(t) = -6*t**2 + 10*t + 12. Let n(q) = -9*o(q) + 4*y(q). Determine k so that n(k) = 0.
0, 11
Let b(z) be the first derivative of -z**4 + 28*z**3/3 + 42*z**2 - 108*z - 2026. Solve b(p) = 0 for p.
-3, 1, 9
Let u(m) be the third derivative of 7/30*m**6 + 0*m - 5/6*m**4 - 1/15*m**5 + 4/3*m**3 - 2 + 78*m**2 - 1/42*m**8 - 2/105*m**7. Determine t, given that u(t) = 0.
-2, -1, 1/2, 1
Suppose -64*c + 335 = 3*c. Let z(x) be the third derivative of 0 + 5*x**2 + 0*x**3 + 0*x - 5/12*x**4 + 1/30*x**c. Let z(f) = 0. Calculate f.
0, 5
Let s(l) = 29*l - 33. Let y be s(-9). Let c = y + 296. Factor -3 + 1/2*g + 1/2*g**c.
(g - 2)*(g + 3)/2
Determine a, given that -3*a**2 + 4*a**2 + 4507129 - 100944*a + 96698*a = 0.
2123
Factor -84 - 310*s + 4*s**3 - 480 + 186*s**2 - 758*s**2 + 5*s + 1437*s.
4*(s - 141)*(s - 1)**2
Let g = 1/1181 + 3538/5905. Let f be (-42)/(-10) - (-4)/(-20). Factor g*j - 4/5*j**3 - 2/5*j**f + 1/5*j**5 + 0 + 2/5*j**2.
j*(j - 3)*(j - 1)*(j + 1)**2/5
Let u be 21/35 - (6 - 128/120 - 5). Factor 10/9*y**2 + 2/9*y**3 + u + 14/9*y.
2*(y + 1)**2*(y + 3)/9
Let n = 2/997 + 1980/6979. Let p = 103/231 + -10/33. Factor p - 3/7*r**2 + n*r.
-(r - 1)*(3*r + 1)/7
Let c = 204702 + -1023506/5. Factor 2704/5 - 208/5*x + c*x**2.
4*(x - 26)**2/5
Let q(y) be the second derivative of -3*y**6/10 - 93*y**5/20 - 29*y**4/2 - 8*y**3 - 1926*y. Factor q(f).
-3*f*(f + 2)*(f + 8)*(3*f + 1)
Let w(q) = 6*q**3 + q**2 + q - 4. Let i(v) = -26*v**3 + 40*v**2 - 138*v - 164. Let l(z) = -i(z) - 4*w(z). Suppose l(m) = 0. Calculate m.
-1, 5, 18
Suppose -2*u - 22 = -4*k, -16 = -3*k - 7*u + 8*u. Factor 9*a**3 + a**4 + 7*a**5 + 3*a**4 - 15*a**3 - 5*a**k.
2*a**3*(a - 1)*(a + 3)
Let a(s) = 30*s + 22. Let t be a(0). Find z, given that -66*z - 54 - 120*z - 74*z**2 - t*z**3 + 16*z**3 = 0.
-9, -3, -1/3
Suppose 0 = 25*x - 29*x + 2992. Let d be 1 + (-9)/(-3) - x/198. Determine a so that -2/9*a + 2/9*a**3 - d + 2/9*a**2 = 0.
-1, 1
Let -3/2*w**2 - 267126 + 1266*w = 0. Calculate w.
422
Suppose -186*o + 199*o = -104. Let f be (-615)/(-492) - 2/o. Factor -15/2*x + f*x**3 - 6*x**2 + 0.
3*x*(x - 5)*(x + 1)/2
Determine i so that 444*i + 3143*i**2 + 2532*i**2 - 432 - 189*i**3 + 92*i**2 + 1025*i**2 = 0.
-2/7, 2/9, 36
Determine t so that 21/2 + 11/2*t**4 - 1/3*t**5 + 29*t**3 + 38*t + 152/3*t**2 = 0.
-3/2, -1, 21
Let l(c) be the third derivative of 16*c - 2/3*c**4 + 1/60*c**5 - 3*c**2 + 32/3*c**3 + 0. Factor l(u).
(u - 8)**2
Let 