2 - 120*m - 237. Factor r(n).
-(n + 2)*(n + 3)*(n + 20)
Let a = 574 + -572. Suppose -4*i**3 + i**3 + 15*i**a + 831*i - 416*i - 415*i = 0. Calculate i.
0, 5
Let q(g) = 3*g**2 - 14*g - 16. Let v(d) = 32*d**2 - 71*d**2 + 38*d**2. Let p(i) = -2*q(i) - 2*v(i). Find t such that p(t) = 0.
-1, 8
Suppose 190*c + 220 = 192*c. Let v = c - 106. Factor -1/4*o**v + 0 - 1/4*o**5 + 1/4*o**2 + 0*o + 1/4*o**3.
-o**2*(o - 1)*(o + 1)**2/4
Let r(b) = 59*b**2 - 22*b - 23. Let k be r(-1). Suppose -3*j = -k + 52. Factor 8/5*y - 24/5 - 2/15*y**j.
-2*(y - 6)**2/15
Let u = -82 + 82. Suppose 0*j = -u*j + 2*j. Factor -148*a + a**3 + j*a**4 + a**4 - 2*a**2 + 148*a.
a**2*(a - 1)*(a + 2)
Let x = -2433383/7154 - -1/7154. Let q = x - -341. Factor -3/7*p**3 + q*p**2 + 0 - 3/7*p.
-3*p*(p - 1)**2/7
Let i(x) be the third derivative of 0*x**3 - 2/45*x**5 - 78*x**2 - 1/180*x**6 + 0*x**4 + 0 + 0*x. Factor i(r).
-2*r**2*(r + 4)/3
Let f(c) be the second derivative of -c**5/10 + 11*c**4/3 - 27*c**3 - 468*c**2 - 6328*c. Factor f(r).
-2*(r - 13)*(r - 12)*(r + 3)
Let k = 907 - 904. Let l be (k - (-184)/(-56))*-14. Determine o so that 2/3*o + l - 4*o**2 - 2/3*o**3 = 0.
-6, -1, 1
Let j(g) = -61*g**3 - 13*g**2 + 53*g + 43. Let l(q) = 8*q - 28*q - 11 + 3*q**2 + 7*q + 15*q**3. Let t(r) = -6*j(r) - 22*l(r). Let t(n) = 0. What is n?
-2/3, 1
Factor -6022116/5 + 4/5*x**3 + 1202460*x + 9812/5*x**2.
4*(x - 1)*(x + 1227)**2/5
Let r(b) be the third derivative of b**7/1260 + 47*b**6/360 - 19*b**5/72 + 64*b**2 + 2*b. Factor r(i).
i**2*(i - 1)*(i + 95)/6
Factor -5*b**3 + 23*b**3 - 1200*b - 22*b**3 + 140*b**2 + 2880 - b**3.
-5*(b - 12)**2*(b - 4)
Let d(n) be the third derivative of 1/490*n**7 - 1/20*n**5 + 0*n + 0*n**3 + 126*n**2 + 3/140*n**6 + 0 + 0*n**4. Solve d(l) = 0 for l.
-7, 0, 1
Let p(u) be the third derivative of -1/156*u**4 - 8*u**2 + 0 + 1/130*u**5 + 0*u + 0*u**3 + 1/1365*u**7 - 1/260*u**6. Factor p(d).
2*d*(d - 1)**3/13
Let i(x) be the first derivative of x**3/18 - 17*x**2/6 - 65*x/2 + 981. Factor i(r).
(r - 39)*(r + 5)/6
Let p(z) be the first derivative of -11/24*z**3 - 7/32*z**4 - 5/16*z**2 + 0*z - 1/40*z**5 - 13. Suppose p(s) = 0. Calculate s.
-5, -1, 0
What is p in 40*p - 14*p**4 - 316*p**2 + 106 + 178*p**3 - 26 - 80*p**2 + 112*p = 0?
-2/7, 1, 2, 10
Let q(f) = -f**3 - 41*f**2 - 181*f - 24. Let y be q(-36). Let c = 2 + 0. Find j, given that 19*j - 44*j - 4*j**c + 12*j + 21*j + y = 0.
-1, 3
Suppose 8*n = 24 - 0. Suppose -20*c**n - 6*c**4 + c**5 + 4*c**5 - 3*c**4 + 40*c**2 - c**4 = 0. Calculate c.
-2, 0, 2
Suppose -60*w + 144 = -93*w + 81*w. Factor -4/5*g**w - 12/5 + 4/5*g + 12/5*g**2.
-4*(g - 3)*(g - 1)*(g + 1)/5
Let r be 23 + (-40)/(9 - 17). Factor -28*h**2 - 4*h**3 - 32 - 11*h - 22*h + 5*h - r*h.
-4*(h + 1)*(h + 2)*(h + 4)
Suppose -f + 0*o + 13 = -o, 0 = -2*f - 3*o + 1. Let y(g) = -2*g + 11. Let b be y(-2). Suppose -b*w + 107*w + 793 - 293 + f*w + 5*w**2 = 0. What is w?
-10
Let w = 236 - 238. Let o be w/(-1) + (-143)/(-65). Factor -21/5*h - 6/5*h**3 + o*h**2 + 6/5.
-3*(h - 2)*(h - 1)*(2*h - 1)/5
Let k = -10878 - -10880. Let o(h) be the second derivative of 0 + 3/20*h**5 + 22*h + 324*h**k + 9/2*h**4 + 54*h**3. Factor o(c).
3*(c + 6)**3
Let y(i) be the second derivative of -1/10*i**5 + 0*i**2 + 1/12*i**4 + 1/16*i**3 - 2 - 63*i. Factor y(t).
-t*(4*t - 3)*(4*t + 1)/8
Let a = 1245/796 - 51/796. Suppose 15/2*n - a + 9*n**2 = 0. What is n?
-1, 1/6
Let r = -54 - -36. Let t be ((-15)/2)/((r/(-4))/(-9)). What is b in -49*b**4 - 2*b + t*b**5 + 14*b**4 + 35*b**2 - 8*b - 5*b**3 = 0?
-1, 0, 1/3, 1, 2
Let r = 168/6005 - -1033/6005. Factor 0 + r*v**4 + 11/5*v**2 + 6/5*v**3 + 6/5*v.
v*(v + 1)*(v + 2)*(v + 3)/5
Let i(n) = 3*n + 5. Let g(v) = -8*v - 14. Let k = -6 + 10. Let q(c) = k*g(c) + 11*i(c). Let x(r) = -2*r**2 + 10*r - 4. Let h(s) = 8*q(s) - x(s). Factor h(y).
2*(y - 2)*(y + 1)
Let f(i) = 23*i**4 - 25*i**3 - 44*i**2 - 16*i. Let c(s) = 39*s**4 - 50*s**3 - 87*s**2 - 33*s. Let o(n) = 4*c(n) - 7*f(n). Factor o(d).
-5*d*(d + 1)*(d + 2)**2
Let n(h) = 164*h - 156*h - 5*h**3 + 4*h**3 - h**2 + 2 + 12. Let g be n(-2). Find y, given that -y**g - 20 - 77*y - 4*y**2 + 97*y = 0.
2
Suppose 0 = -31*k + 23521 - 23428. Suppose 4/5*m - 4/5*m**k - 8/5*m**2 + 6/5*m**4 + 2/5 = 0. Calculate m.
-1, -1/3, 1
Let o(p) be the third derivative of -p**6/50 + 31*p**5/100 - 21*p**4/20 - 2440*p**2. Factor o(a).
-3*a*(a - 6)*(4*a - 7)/5
Let n = -966 + 28981/30. Let o(m) be the third derivative of -1/6*m**4 - 8*m**2 + n*m**6 - 4/3*m**3 + 0 + 0*m + 2/15*m**5. Let o(f) = 0. What is f?
-2, -1, 1
Let a = -319/164 - -90/41. Suppose 0 = -20*g + 12*g + 16. Factor 1/8*u**g - a + 3/8*u + 1/8*u**4 - 3/8*u**3.
(u - 2)*(u - 1)**2*(u + 1)/8
Let h(a) be the second derivative of 27*a**6/80 + 3*a**5/8 - 2*a**4/3 + a**3/3 - a**2/2 + 10*a - 2. Let z(d) be the first derivative of h(d). Factor z(t).
(t + 1)*(9*t - 2)**2/2
Solve 49/5*s**5 - 8/5 + 196/5*s - 2/5*s**4 + 2*s**2 - 49*s**3 = 0.
-2, -1, 2/49, 1, 2
Let m(a) be the first derivative of -a**6/72 + 2*a**5/45 + a**4/18 - a**2 + 67*a + 40. Let i(x) be the second derivative of m(x). What is b in i(b) = 0?
-2/5, 0, 2
Suppose -93*v + 97*v = m + 7, 0 = v - 3. Factor 0*y + 0 + 0*y**2 - 4/13*y**3 + 2/13*y**4 + 2/13*y**m.
2*y**3*(y - 1)*(y + 2)/13
Let q(l) = 3*l**2 + 80*l - 73. Let h(u) = -51*u**2 - 1281*u + 1167. Let d(z) = -35*z + 138. Let r be d(4). Let g(n) = r*h(n) - 33*q(n). Factor g(c).
3*(c - 25)*(c - 1)
Let a(o) be the second derivative of o**5/20 + 653*o**4/9 + 189805*o**3/6 + 63075*o**2 + o - 71. Find j, given that a(j) = 0.
-435, -2/3
Suppose -4*p - 12 = -20. Let u(q) = 32*q**3 + q**2 - 2*q. Let x be u(p). Determine j, given that 5*j**3 + 262*j - x*j - 2*j**3 - j**3 - 10*j**2 + 18 = 0.
-1, 3
Let w(i) be the third derivative of i**6/40 + 3477*i**5/20 + 4029843*i**4/8 + 1556862679*i**3/2 - 310*i**2 + 8. Factor w(l).
3*(l + 1159)**3
Factor 0 + 4/19*z + 2/19*z**4 - 2/19*z**2 - 4/19*z**3.
2*z*(z - 2)*(z - 1)*(z + 1)/19
Let w(r) be the first derivative of -5*r**4/4 - 145*r**3 - 4620*r**2 - 57820*r + 10389. Factor w(y).
-5*(y + 14)**2*(y + 59)
Let c(u) = 617*u + 5555. Let k be c(-9). Let l(f) be the first derivative of -f**3 - 15 + 3/2*f**k + 0*f. Factor l(m).
-3*m*(m - 1)
Let z = 403 + -396. Let f be (-25)/(-21) + z*(-30)/245. Factor 2/3*m - f*m**2 + 0.
-m*(m - 2)/3
Let z = 5/113 - -1115/339. Suppose 247*v = 767 - 273. Solve 4/3*k**2 + z*k - v = 0 for k.
-3, 1/2
Find p such that -10/7*p**4 + 136/7*p - 12*p**2 + 30/7 - 72/7*p**3 = 0.
-5, -3, -1/5, 1
Find a such that -2*a**4 - 66*a**2 + 23*a**2 - 57*a**2 - 2*a**3 - 38*a**2 + 34*a**3 + 108*a = 0.
0, 1, 6, 9
Let f(w) = w**2 + 2*w + 5. Let c be f(-4). Factor 22*y**2 + 12 + 5*y**2 + y**3 - c*y**2 + 25*y.
(y + 1)**2*(y + 12)
Suppose 8/5*h**5 + 16/5*h**2 - 4/5 - 8/5*h**3 - 12/5*h**4 + 0*h = 0. What is h?
-1, -1/2, 1
Let f(u) be the third derivative of u**5/5 + 47*u**4/6 + 20*u**3 - 209*u**2. Let f(x) = 0. What is x?
-15, -2/3
Let k(h) = -8*h**3 - 17*h**2 - 102*h - 144. Let b(q) be the second derivative of q**5/20 + q**3/3 + q + 19. Let x(i) = -21*b(i) - 3*k(i). Factor x(f).
3*(f + 4)**2*(f + 9)
Let r be ((-2)/(56/(-9626)))/(5/(-10)). Let o = 703 + r. Factor -o*g**3 - 36/7*g**4 - 4/7*g**5 - 108/7*g**2 + 0*g + 0.
-4*g**2*(g + 3)**3/7
Factor -66110*c - 2/11*c**3 + 133100 - 2416/11*c**2.
-2*(c - 2)*(c + 605)**2/11
Let t be ((10/24)/(-5))/((-16)/72) - 585/(-390). Suppose -15/8*g**3 + 0 - 15/8*g**4 + 9/8*g + 3/4*g**5 + t*g**2 = 0. What is g?
-1, -1/2, 0, 1, 3
Let o = 1818009 + -1818006. Determine f, given that 0 - 27/4*f + 45/4*f**2 - 3*f**o = 0.
0, 3/4, 3
Let q be 14 - (7 - 1) - -6. Factor -11*k - 9 + 10*k + q*k + 26*k - 30*k**2.
-3*(k - 1)*(10*k - 3)
Let x(y) be the first derivative of 0*y**2 + 6*y - 1/42*y**4 + 8 + 0*y**3. Let o(h) be the first derivative of x(h). Determine q so that o(q) = 0.
0
Let b(k) be the third derivative of -k**8/84 + k**7/15 - 3*k**6/20 + k**5/6 - k**4/12 - 7*k**2 + 31. Factor b(m).
-2*m*(m - 1)**3*(2*m - 1)
Let q(x) be the third derivative of x**8/2016 - x**7/1260 - 3*x**6/80 + 5*x**5/72 + 25*x**4/72 + 3585*x**2. What is i in q(i) = 0?
-5, -1, 0, 2, 5
Let v = 271 - 257. Let -38*h**4 + 205*h**4 + 944*h**2 - 370*h - v*h + 32 + 171*h**4 + 1248*h**3 = 0. What is h?
-2, 2/13
Let o(a) be the third derivative of -a**5/300 + 8*a**4/15 - 61*a**