actor 0*s - 18/5*s**5 + q*s**2 + 0*s**3 + 0 + 4/5*s**4.
-2*s**4*(9*s - 2)/5
Let k be (-2804)/(-14) - (-16)/(-56). Suppose k + 11*t - 372 + t**2 + 182 = 0. Calculate t.
-10, -1
Suppose 298 = -13*m + 389. Let f(s) be the third derivative of 1/8*s**6 - 1/70*s**m + 7/8*s**4 - 9/20*s**5 + 0 + 0*s + 8*s**2 - s**3. Factor f(n).
-3*(n - 2)*(n - 1)**3
Factor 25/2 - 15*m + 5/2*m**2.
5*(m - 5)*(m - 1)/2
Factor -16*o**2 - 25*o**2 - 7 + 59 - 48*o + 37*o**2.
-4*(o - 1)*(o + 13)
Let f(l) = 4*l**4 - l**3 + l**2 - 2*l + 1. Let n(i) = 8*i**4 - 159*i**3 - 2025*i**2 - 8794*i + 3. Let a(y) = 3*f(y) - n(y). Find t, given that a(t) = 0.
-13, 0
Let r = -16509/2 + 165093/20. Let s(o) be the second derivative of 0 - 9/100*o**5 - 1/50*o**6 - r*o**4 - 44*o + 0*o**2 - 1/10*o**3. Factor s(q).
-3*q*(q + 1)**3/5
Let h(y) = 41*y + 189. Let j be h(-4). Suppose -5*x + 0*x = -4*o - 20, -5*o - j = -5*x. Find s, given that x + 2/7*s**2 + 0*s + 2/7*s**4 + 4/7*s**3 = 0.
-1, 0
Let y(u) = -19*u + 2793. Let q be y(147). Let m(b) be the second derivative of 0*b**3 + 1/15*b**6 - 1/5*b**5 + q*b**2 - 4*b + 1/6*b**4 + 0. Factor m(f).
2*f**2*(f - 1)**2
Let o(i) = i**2 - 6*i + 11. Let g be ((-10)/25)/((-2)/15). Let m be o(g). Factor 24*k - 189*k**m + 101*k**2 + 92*k**2 + 32.
4*(k + 2)*(k + 4)
Let t(v) be the first derivative of -17*v**2 + 0*v + 1/120*v**5 - 10 + 1/6*v**3 - 1/16*v**4. Let s(o) be the second derivative of t(o). Factor s(c).
(c - 2)*(c - 1)/2
Suppose -131*z + 171*z = -49*z + 178. Factor -19/4*v**z - 9/4*v**3 + 0 - 5/2*v.
-v*(v + 1)*(9*v + 10)/4
Suppose 2*h - 42 = -a - 38, -2*h + 4 = 2*a. Let d(x) be the first derivative of -5*x + 5/3*x**3 + a*x**2 - 19. Solve d(n) = 0 for n.
-1, 1
Let x(p) be the first derivative of 4*p**5/15 + 3*p**4/2 - 8*p**3/9 - 12*p**2 - 32*p/3 - 256. Solve x(f) = 0 for f.
-4, -2, -1/2, 2
Let c(r) = 2 - 230*r**2 - r**3 + 3*r + 115*r**2 + 117*r**2. Let j be c(3). Solve -8*p**2 - j*p**4 + 2*p**2 + 9*p**2 + 4*p**3 - 5*p**2 = 0 for p.
0, 1
Suppose -2*l - 3*l = -15, 4*g + 23 = l. Let s(v) = 7*v + 38. Let u be s(g). Find c, given that 8 - 20*c**u - 32*c**2 - 6*c - 10*c + 12*c = 0.
-1, 2/5
Factor 2 - 39 + 11*c + 13*c**2 - 1 + 22*c - 7 - c**3.
-(c - 15)*(c - 1)*(c + 3)
Let 3*q**2 + 7 - 213*q - 7 + 180*q = 0. What is q?
0, 11
Let o(w) = 281*w + 69. Let z be o(-2). Let g = -491 - z. Let 32/3 + 1/6*h**g + 8/3*h = 0. Calculate h.
-8
Let d(l) be the first derivative of -5*l**4/12 + 370*l**3/9 + 5915*l**2/6 + 21560*l/3 - 2854. Factor d(v).
-5*(v - 88)*(v + 7)**2/3
Let v(b) be the first derivative of b**6/780 - 3*b**5/130 - 5*b**4/78 + 15*b**2/2 + 52. Let q(j) be the second derivative of v(j). Factor q(i).
2*i*(i - 10)*(i + 1)/13
Let d = -1699 + 1702. Suppose 17*m = 13*m - d*y - 6, 6*m + 4*y + 8 = 0. Factor m + 1/4*k**3 + 0*k - 3/4*k**2.
k**2*(k - 3)/4
Determine k so that -1/3*k**2 + 863*k + 0 = 0.
0, 2589
Let w = 2/54509 + 163523/109018. Factor 18 - 3/2*n**2 + w*n.
-3*(n - 4)*(n + 3)/2
Let o(l) be the first derivative of 11*l**5 - 105*l**4/4 - 65*l**3/3 + 105*l**2/2 + 10*l + 1234. Find x, given that o(x) = 0.
-1, -1/11, 1, 2
Let j(v) = -6*v**3 + 3*v + 3. Let s(p) = -p**4 - p**3 - 2*p**2 - p - 1. Let y = 386 - 387. Let n(o) = y*j(o) - 3*s(o). Factor n(d).
3*d**2*(d + 1)*(d + 2)
Let w(g) be the second derivative of g**7/56 + g**6/8 - 111*g**5/80 + 7*g**4/16 + 33*g**3/2 - 81*g**2/2 + 15*g + 4. Find r, given that w(r) = 0.
-9, -2, 1, 2, 3
Let s(d) = 195*d**2 - 880*d + 345. Let c(l) = -229*l**2 + 879*l - 344. Let g(y) = 5*c(y) + 6*s(y). Solve g(m) = 0.
2/5, 35
Let i(z) be the first derivative of z**6/90 + 7*z**5/60 + 17*z**4/36 + 17*z**3/18 + z**2 - 9*z + 68. Let v(q) be the first derivative of i(q). Factor v(k).
(k + 1)**2*(k + 2)*(k + 3)/3
Let y(v) be the second derivative of -12/5*v**2 + 0 - 28/15*v**3 - 31*v - 49/90*v**4. Factor y(w).
-2*(7*w + 6)**2/15
Factor 12/5*b**3 - 1287/5*b + 711/5*b**2 - 366/5.
3*(b - 2)*(b + 61)*(4*b + 1)/5
Let i(m) be the second derivative of -16/7*m**3 + 5 + 36/7*m**2 + 12*m + 13/42*m**4 - 1/70*m**5. Factor i(x).
-2*(x - 6)**2*(x - 1)/7
Let u(c) = 9*c - 250. Let m be u(28). Suppose 0 = 2*g + m*g - 2*g. Determine k, given that g - 6/5*k**2 + 4/5*k = 0.
0, 2/3
Factor 192/7*b**2 + 4/7*b**4 + 0 - 52/7*b**3 - 144/7*b.
4*b*(b - 6)**2*(b - 1)/7
Let a(h) = -h**2 - h - 1. Suppose 3*w + 5 + 22 = 0. Let u(m) be the first derivative of 4*m**3 + 39*m**2/2 + 84*m - 89. Let l(n) = w*a(n) - u(n). Factor l(y).
-3*(y + 5)**2
Let c be ((-8)/(-6))/((-12)/(-18)). Factor 12 + 156*g - 4*g**c - 12 - 220*g.
-4*g*(g + 16)
Let w(j) be the second derivative of j**5/10 + 25*j**4/6 + 88*j**3/3 + 84*j**2 - 2112*j. Factor w(z).
2*(z + 2)**2*(z + 21)
Let h(f) = -f**3 - 1. Let r be 4*(-21)/12 + 13 + -2. Let b = -3 - -1. Let o(d) = -4*d**3 - 6*d**2 - 6*d - 4. Let s(j) = b*o(j) + r*h(j). Factor s(m).
4*(m + 1)**3
Let k(v) be the third derivative of 0 + 1/7*v**3 + 1/35*v**5 + 1/280*v**6 + 21*v - 3*v**2 + 5/56*v**4. Suppose k(c) = 0. What is c?
-2, -1
Factor -243*c**3 + c**5 - 242*c**2 + 441*c**3 + c**5 - 22*c**4 + 64*c**4.
2*c**2*(c - 1)*(c + 11)**2
Let k(t) = 14*t - 73. Let a be k(5). Let g(n) = -n**3 - 3*n**2 - n + 1. Let z be g(a). Factor 0*h**3 - 2/11*h + 4/11*h**z + 0 - 4/11*h**2 + 2/11*h**5.
2*h*(h - 1)*(h + 1)**3/11
Let v(l) be the third derivative of l**6/120 + 3*l**5/20 + l**4 + 21*l**3/2 + 23*l**2 - 1. Let b(s) be the first derivative of v(s). Factor b(y).
3*(y + 2)*(y + 4)
Suppose 19 = 18*w - 143. Suppose -37*d - 9 = -w. Factor -1/9*t**2 + d + 0*t + 0*t**3 + 1/9*t**4.
t**2*(t - 1)*(t + 1)/9
Let a(y) be the third derivative of -y**5/12 + 65*y**4/12 - 220*y**3/3 + 2678*y**2 - 2. Factor a(v).
-5*(v - 22)*(v - 4)
Let g = 7144817/215 - 33230. Let y = -39/43 + g. Find d, given that 0 - 2/5*d**3 - y*d - 1/5*d**4 + 7/5*d**2 = 0.
-4, 0, 1
Let t be (-35*(-1)/15)/((-36)/(-27)). Find a such that 0 - t*a**2 - 1/4*a**4 - 3/4*a - 5/4*a**3 = 0.
-3, -1, 0
Let q(s) be the second derivative of s**4/12 + s**3/2 + 19*s**2 - 16*s. Let v be q(0). Factor -12*o**2 - 6*o - 16*o + 1 + v*o**3 - 13 - 40*o**3.
-2*(o + 1)*(o + 2)*(o + 3)
Let i(y) be the second derivative of -4/5*y**5 + 1/3*y**4 - 1 - 25*y + 8/3*y**3 - 2*y**2. Let i(a) = 0. What is a?
-1, 1/4, 1
Let d = 3359/8360 + -3/1672. Factor -d*z**3 + 0 + 0*z + 6/5*z**2.
-2*z**2*(z - 3)/5
Let u(h) be the second derivative of h**5/54 - 11*h**4/36 - 14*h**3/27 + 3*h**2/2 - 4*h - 3. Let a(k) be the first derivative of u(k). Factor a(v).
2*(v - 7)*(5*v + 2)/9
Let a(b) be the first derivative of 324*b - 59 + 1/3*b**3 + 18*b**2. Let a(s) = 0. What is s?
-18
Let q = -1109 + 7773/7. Let i be ((-480)/24 - -20)*2/6. Determine y so that 0*y**3 + q*y**2 + i*y - 2/7*y**4 - 8/7 = 0.
-2, -1, 1, 2
Suppose 0 = 4*z + 4*k + 4, -4*z + z = k + 1. Let d = 356 - 4614/13. Let 4/13*w**2 - 2/13*w + 8/13*w**4 + z + d*w**3 = 0. What is w?
-1, 0, 1/4
Let y(k) be the third derivative of k**7/840 + k**6/60 + 19*k**5/240 + k**4/8 - 1611*k**2. Solve y(x) = 0.
-4, -3, -1, 0
Suppose -r + 77 = 63. Let y(h) = -18*h**3 + 6*h**2 + 4*h - 34. Let u(c) = -4*c**3 + c**2 + c - 7. Let m(w) = r*u(w) - 3*y(w). Factor m(b).
-2*(b - 1)*(b + 1)*(b + 2)
Suppose d + 10 = -2*d - z, 0 = d - 5*z - 18. Let q be 3 + d - -1*4. What is h in 2 + 1 - 2*h**2 + q = 0?
-2, 2
Factor -39*t**2 + 1558*t - 38*t**3 - 84 + 78*t**2 + 176*t**2 + 509*t**2.
-2*(t - 21)*(t + 2)*(19*t - 1)
Let n = 368125/69042 + 33/23014. Find j, given that -2/3*j**4 - 16/3 - n*j**3 - 44/3*j - 14*j**2 = 0.
-4, -2, -1
Suppose -13 - 10 - 4 = -9*i. Let b(h) be the second derivative of 20*h + 5/2*h**i - 5/12*h**4 + 10*h**2 + 0. Determine o so that b(o) = 0.
-1, 4
Suppose -113*n - 496 = -93*n - 144*n. Suppose 6/7*o**2 + 2/7*o**n - 8/7*o**3 + 8/7*o - 8/7 = 0. Calculate o.
-1, 1, 2
Let u = 9538/21501 + 2/2389. Let 2/9*l**4 + 2/9*l**5 + 2/9*l - 4/9*l**2 + 2/9 - u*l**3 = 0. Calculate l.
-1, 1
Let w = 20607 - 20605. What is k in 21/4*k - 3/4*k**3 + 0*k**w + 9/2 = 0?
-2, -1, 3
Let t be 390/91 - (-2 + (-16)/(-7)). Suppose -g + 2*g = 2. Solve 2*d**g + 2 + 16*d**t - 12*d**3 + 12*d - 22*d**2 + 2 = 0.
-1, -1/4, 1
Let k = 244/143 + 5560/429. Let j(w) be the first derivative of -16*w - 2*w**4 + 9 + k*w**3 + 8*w**2 - 28/5*w**5 - 4/3*w**6. Find u such that j(u) = 0.
-2, -1, 1/2, 1
Let p = 54853/10 - 5485. Let q(y) be the third derivative of -p*y**5 + 0