*l = -25. Factor -7 + t - 2*i**3 + 3 + 6*i.
-2*(i - 2)*(i + 1)**2
Find v, given that -4/3*v**2 + 32/3*v + 12 = 0.
-1, 9
Let -6/5*r**3 + 14/5*r**2 - 6/5*r**4 + 2/5*r**5 + 12/5*r + 0 = 0. What is r?
-1, 0, 2, 3
Let y(n) = 3*n**5 - 17*n**4 + 7*n**3 + 55*n**2 - 12*n - 38. Let g(a) = 2*a**4 - a**3 - a**2 - 1. Let k(w) = -2*g(w) + y(w). Find j, given that k(j) = 0.
-1, 1, 2, 6
Let p(c) = c**3 - 13*c**2 + 13*c + 6. Let y be p(12). Let x = -17 + y. Solve -x - n - 2*n - 3 + 5*n + 2*n**2 = 0.
-2, 1
Let c(a) be the third derivative of a**5/60 + 17*a**4/12 - 35*a**3/6 - 255*a**2. Factor c(y).
(y - 1)*(y + 35)
Suppose a = 68 - 69. Let c(s) = -11*s**2 - 2*s - 3 - 3*s + 8*s**2 - s**3. Let u(z) = -z - 1. Let m(y) = a*c(y) + 2*u(y). Find i, given that m(i) = 0.
-1
Let h = 391 + -391. Let q(z) be the third derivative of 0 + 0*z**3 + 2*z**2 - 1/360*z**5 + 0*z**4 + h*z. Suppose q(t) = 0. Calculate t.
0
Find v, given that -276*v - 360 + 166*v**3 - 64*v**2 + 176*v**3 - 346*v**3 = 0.
-10, -3
Let k = 1493 - 1489. Factor 0*q**2 - q**3 + k + 4*q - 1/4*q**4.
-(q - 2)*(q + 2)**3/4
Let n(u) be the second derivative of -1/27*u**7 + 7/90*u**5 + 0 + 0*u**3 + 1/27*u**4 - 2/135*u**6 + 0*u**2 - 21*u. Solve n(k) = 0 for k.
-1, -2/7, 0, 1
Let i(f) be the first derivative of -2*f**3/3 + 18*f**2/5 + 16*f/5 + 782. Factor i(d).
-2*(d - 4)*(5*d + 2)/5
Determine j, given that 1661 - 554 - 6*j**3 + 12*j - 3*j**4 - 565 + 9*j**2 - 554 = 0.
-2, 1
Let j = -31 - -27. Let u(x) = 6*x**4 + 5*x**3 - 7*x**2 - x. Let k(p) = 7*p**4 + 5*p**3 - 8*p**2. Let q(g) = j*u(g) + 3*k(g). Find n such that q(n) = 0.
-2, -2/3, 0, 1
Let z(f) = 8*f**5 + 52*f**4 + 52*f**3 - 20*f**2 - 24*f. Let b(m) = m**5 + m**3 + m**2 - 2*m. Let c(o) = -4*b(o) - z(o). Find j such that c(j) = 0.
-2, -1, 0, 2/3
Let r(b) = -14*b**4 - 15*b**3 + 23*b**2 + 31*b - 1. Let k(o) = -9*o**4 - 10*o**3 + 15*o**2 + 20*o - 1. Let l(f) = 8*k(f) - 5*r(f). Solve l(t) = 0.
-3, -1, 1/2, 1
Let r(n) be the first derivative of 0*n**2 + 3 + 2/3*n**3 + 1/3*n**6 + 3/2*n**4 + 6/5*n**5 + 0*n. Suppose r(l) = 0. What is l?
-1, 0
Suppose -5*o = 5*m - 25, 91*o = 3*m + 89*o. Solve 4/7*u - 6/7*u**4 + 16/7*u**3 + 0 - m*u**2 = 0.
0, 2/3, 1
Let x(q) = 10*q**5 + 8*q**4 + 14*q**3 - 5*q**2 - 12*q. Let j(r) = -3*r**5 - r**3 - r**2. Let w(p) = -15*j(p) - 5*x(p). Determine m so that w(m) = 0.
-6, -2, -1, 0, 1
Suppose k = -5, -a - 2*k + 5 = 18. Let p(h) = 5*h + 15. Let x be p(a). Let x*n - 1/5*n**2 + 1/5 = 0. Calculate n.
-1, 1
Let g(f) be the second derivative of f**4 + 0*f**2 + 14/15*f**6 + 0 - 12/5*f**5 - 4*f + 4/3*f**3. Factor g(w).
4*w*(w - 1)**2*(7*w + 2)
Let y(r) = r**2 + 16*r + 18. Let c be y(-15). Factor -3*u - 6*u**2 + c*u**3 - 16 + 22 + 0*u**2.
3*(u - 2)*(u - 1)*(u + 1)
Let u(k) be the third derivative of -k**6/660 - 31*k**5/330 + k**4/132 + 31*k**3/33 - 5*k**2 - 11*k. Let u(n) = 0. Calculate n.
-31, -1, 1
Determine r so that 38*r**3 - 10*r**3 - 26*r - 20*r + 4*r**4 + 18*r - 36*r - 40*r**2 = 0.
-8, -1, 0, 2
Let v(i) be the third derivative of -i**7/105 + i**6/25 + 71*i**5/150 - i**4/2 - 315*i**2. What is t in v(t) = 0?
-3, 0, 2/5, 5
Solve -3/2*u - 4/3 + 1/6*u**4 + 7/6*u**2 + 3/2*u**3 = 0.
-8, -1, 1
Let k(q) be the first derivative of -15 + 40/9*q**2 - 400/9*q - 4/27*q**3. Factor k(x).
-4*(x - 10)**2/9
Let z = 70 + -68. Suppose 4*a = -a + 10. Factor 4*v**a - 2*v**4 - 3*v**2 - v**2 + z*v**2.
-2*v**2*(v - 1)*(v + 1)
Let -33/5*j**4 - 36/5*j - 4/5*j**5 - 1 - 16*j**3 - 82/5*j**2 = 0. What is j?
-5, -1, -1/4
Let w be ((-44)/(-55))/((-2)/(-5)). Factor -q**2 - 4*q**w - q**5 + 2*q**3 + 3*q**2 + q**3.
-q**2*(q - 1)**2*(q + 2)
Let n(a) be the third derivative of 1/3*a**4 + 1/21*a**8 + 4/5*a**6 + 0*a**3 - 3*a**2 + 13/15*a**5 + 34/105*a**7 + 0*a + 0. Determine s, given that n(s) = 0.
-2, -1, -1/4, 0
Let r(n) be the first derivative of 5*n**6/63 + n**5/7 + 3*n**4/28 + 28*n**3/3 - 10. Let d(z) be the third derivative of r(z). Factor d(j).
2*(10*j + 3)**2/7
Suppose -u + 2*m + 28 = 7*m, -5*u + 10 = -m. Factor 0 + 2/9*o**u + 2/9*o + 4/9*o**2.
2*o*(o + 1)**2/9
Suppose -624 + 598 = -13*a. Let -8/9*h**3 + 0 + 10/9*h**a + 2/9*h**4 - 4/9*h = 0. Calculate h.
0, 1, 2
Suppose -211 = 5*z - z - 219. Factor 0 + 1/7*h**4 - 1/7*h - 3/7*h**3 + 3/7*h**z.
h*(h - 1)**3/7
Suppose 15 = 2*u + 11. Factor -8*r + 2*r**3 - 90 + 5*r**u + 94 - 3*r**3.
-(r - 2)**2*(r - 1)
Let i(x) = 8*x**3 + x**2 + 3*x - 8. Let p be i(2). Factor 30*v - p*v**2 + 1 + 61*v**2 - 1.
-5*v*(v - 6)
Suppose 42/13*r**2 + 94/13*r - 144/13*r**3 + 32/13*r**4 - 24/13 = 0. Calculate r.
-3/4, 1/4, 1, 4
Let w(v) be the first derivative of -5*v**4/4 - 5*v**3 + 10*v**2 + 95. Suppose w(l) = 0. What is l?
-4, 0, 1
Let u(w) = 9*w - 48. Let c be u(8). Suppose 9 + 4*m**4 + 1 - c*m**3 + 6 + 44*m**2 - 48*m + 8*m**2 = 0. What is m?
1, 2
Let l(n) = n**2 + 16*n - 23. Let f(a) = 4*a**2 + 63*a - 93. Let z(o) = -6*f(o) + 26*l(o). Factor z(w).
2*(w - 1)*(w + 20)
Let l(s) = s - 10. Let y be l(15). Let b = 3 + -1. What is d in -2*d**3 - y*d**4 - 12 + 25*d**b - 4*d**4 - d**3 + 3*d**5 - 4*d**2 = 0?
-1, 1, 2
Let z(k) be the second derivative of 1/30*k**4 - 2*k + 1/150*k**6 + 0*k**3 - 15 - 3/100*k**5 + 0*k**2. Factor z(j).
j**2*(j - 2)*(j - 1)/5
Let s(z) be the third derivative of z**5/660 + z**4/264 + 50*z**2. Solve s(i) = 0.
-1, 0
Let y(n) be the third derivative of n**5/60 + n**4/24 + n**3/3 - 17*n**2. Let m be y(0). Solve -4*s - s**3 - 3/2 - 7/2*s**m = 0.
-3/2, -1
Suppose -3*z + 24 = w, -57 = -5*z - w + 5*w. Factor 3*y**5 - 5*y**5 - 6*y**2 + 6 - z*y - y**5 + 12*y**3.
-3*(y - 1)**3*(y + 1)*(y + 2)
Let v(i) = 16*i**2 + 79*i + 9. Let q(h) = 7*h**2 + 40*h + 4. Let r(a) = 9*q(a) - 4*v(a). Factor r(o).
-o*(o - 44)
Let w(k) be the third derivative of k**5/330 - 2*k**4/3 + 176*k**3/3 + 303*k**2. Solve w(v) = 0 for v.
44
Let x(a) be the second derivative of a**9/4032 + a**8/1120 + a**7/1120 - a**3 + 4*a. Let r(m) be the second derivative of x(m). Let r(w) = 0. Calculate w.
-1, 0
Let j(x) = -17*x**2 - 4247*x - 566030. Let l(m) = -4*m**2 - 1062*m - 141508. Let n(o) = 4*j(o) - 18*l(o). Determine u, given that n(u) = 0.
-266
Let q = -27328/15 - -1822. Let j(m) be the first derivative of 2/5*m**2 - q*m**3 - 9 + 0*m. Solve j(g) = 0 for g.
0, 2
Let i(c) be the second derivative of 0 + 3/10*c**2 - 1/20*c**4 - 1/10*c**3 + 3/100*c**5 - 2*c. Solve i(l) = 0.
-1, 1
Let c(h) be the second derivative of 3*h**5/40 - h**3 - 2*h + 25. Find j such that c(j) = 0.
-2, 0, 2
Let a(p) = 2*p**4 - 4*p**3 + 3*p - 3. Let b(u) = u**4 - 3*u**3 - u**2 - 3. Let h(g) = g**3 + 1. Let v(f) = -b(f) - 2*h(f). Let o(z) = -a(z) - v(z). Factor o(j).
-(j - 2)*(j - 1)**2*(j + 1)
Let n(x) be the second derivative of x**6/120 - 111*x**5/80 + 109*x**4/16 - 325*x**3/24 + 27*x**2/2 - 369*x. Determine d, given that n(d) = 0.
1, 108
Factor 4 - 3*s**2 - 4 + 4*s**2 + 79*s - 101*s.
s*(s - 22)
Factor 2/3*x**3 + 294 + 266*x - 82/3*x**2.
2*(x - 21)**2*(x + 1)/3
Find l such that 6200*l**2 + 80 - 2062*l**2 - 2093*l**2 - 50*l - 2080*l**2 + 5*l**3 = 0.
-2, 1, 8
Let t = 255 - 15299/60. Let o(d) be the second derivative of 0*d**2 - 4*d + 0 - t*d**6 - 1/12*d**3 + 1/40*d**5 + 1/24*d**4. Factor o(z).
-z*(z - 1)**2*(z + 1)/2
Let g(n) = -n + 22. Let t be g(18). Let -225*z**3 + t*z - 3 - 287*z**3 + 2 - 28*z - 192*z**2 = 0. Calculate z.
-1/8
Let n(l) be the first derivative of l**6/90 - l**3/3 + 14. Let g(v) be the third derivative of n(v). Suppose g(k) = 0. What is k?
0
Suppose -2*f + 289 - 11 = 0. Factor -4*g - f*g**2 + 131*g**2 + 5*g**3 + 8 - g**3.
4*(g - 2)*(g - 1)*(g + 1)
Let w(g) be the third derivative of 0*g**4 + 1/24*g**3 - 1/240*g**5 + 0*g + 0 + 14*g**2. Factor w(l).
-(l - 1)*(l + 1)/4
Let z(d) be the third derivative of -5/9*d**4 + 0*d**3 + 2/45*d**5 + 0*d - 23*d**2 + 0 - 1/900*d**6. Let z(n) = 0. Calculate n.
0, 10
Let x be (-1)/((-68)/(-12) + -6). Let t(j) be the first derivative of 4 - 6*j**2 - 50/9*j**x - 1/3*j**5 - 8/3*j - 9/4*j**4. Find p, given that t(p) = 0.
-2, -1, -2/5
Let m(d) = -9*d**2 + 300*d - 295. Let i(s) = -2*s**2. Let y(o) = 2*i(o) - m(o). Factor y(f).
5*(f - 59)*(f - 1)
Factor 24*d**4 + 2*d**5 + 8727 + 42*d**3 - 8727 + 20*d**2.
2*d**2*(d + 1)**2*(d + 10)
Let c(n) be the third derivative of 8*n**7/105 + 119*n**6/30 + 58*n**5 - 75*n**4/2 + 7*n**2 - 19*n. Determine p, given that c(p) = 0.
-15, 0, 1/4
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