rmine l so that 8/11*l + 0*l**2 - 2/11*l**4 - 6/11*l**3 + 0 = 0.
-2, 0, 1
Let h be 7/(-21)*1*9. Let j be (-6 - -2) + 6 - h. Suppose 1 - w**2 + 8*w**2 + 0*w**2 + 12*w - j = 0. What is w?
-2, 2/7
Find w, given that 0 - 18/17*w**2 + 2/17*w**3 + 0*w = 0.
0, 9
Suppose 6*z - 22 = -5*z. Let p be z/(-4) + 0 + 1. Factor 1/4 + 0*o**3 + 0*o + 1/4*o**4 - p*o**2.
(o - 1)**2*(o + 1)**2/4
Let i(s) = s**3 - 4*s**3 + 17 + 6*s**2 - 7*s + 4*s. Let y(k) = -k**3 + 2*k**2 - k + 6. Let z(b) = -6*i(b) + 17*y(b). Factor z(t).
t*(t - 1)**2
Suppose 0 = i - 14*i + 13. Let m be (i - (-64)/(-40)) + 19/15. Solve -m*y**2 + 2*y - 4/3 = 0.
1, 2
Factor 178*o - 2 + 8 - 55*o - 72*o + 2*o**4 - 71*o - 12*o**3 + 24*o**2.
2*(o - 3)*(o - 1)**3
What is o in -212*o**2 - 279*o - 92*o**3 - 101*o**3 + 1179*o + 205*o**3 + 324 = 0?
-1/3, 9
Let -85*v**3 + 67*v**2 + 11*v**2 - 23*v**2 - 130*v**4 + 10*v = 0. What is v?
-1, -2/13, 0, 1/2
Let w = -12/13 - -301/312. Let p(n) be the second derivative of -w*n**4 - 5*n + 0 + 1/4*n**2 + 0*n**3. Solve p(y) = 0 for y.
-1, 1
Let c be (-4)/7 + 1020/1932. Let w = 64/115 - c. Find g, given that -3/5 + 1/5*g + w*g**2 - 1/5*g**3 = 0.
-1, 1, 3
Factor 17/2*p**2 + 0 + 6*p - 1/4*p**4 + 9/4*p**3.
-p*(p - 12)*(p + 1)*(p + 2)/4
Factor 264 + 2/11*q**3 + 112*q + 94/11*q**2.
2*(q + 3)*(q + 22)**2/11
Let u(z) be the first derivative of z**8/2240 - z**7/1680 + 10*z**3/3 - 3. Let o(s) be the third derivative of u(s). Solve o(w) = 0.
0, 2/3
Let u(z) = -z**3 + 30*z**2 + 31*z - 4. Let r(p) = -15*p**3 + 420*p**2 + 435*p - 55. Let c(m) = 4*r(m) - 55*u(m). Find d, given that c(d) = 0.
-1, 0, 7
Factor 8/3*v - 4/3*v**4 + 0*v**2 - 8/3*v**3 + 4/3.
-4*(v - 1)*(v + 1)**3/3
Let v be ((-24)/(-14))/(6/8). Suppose 26*p = 13*p + 26. Let 8*l - 60/7*l**p + 18/7*l**3 - v = 0. What is l?
2/3, 2
Suppose 48 = -3*s - s. Let k = 61/5 + s. Suppose -z - 4/5*z**2 - 2/5 - k*z**3 = 0. What is z?
-2, -1
Let a(h) be the second derivative of -h**5/50 + 9*h**4/5 - 324*h**3/5 + 5832*h**2/5 + 23*h. Factor a(w).
-2*(w - 18)**3/5
Determine t so that 1 + 1/7*t**2 - 8/7*t = 0.
1, 7
Let y(n) be the first derivative of 2/5*n + 11 - 1/15*n**3 - 1/10*n**2. Determine o so that y(o) = 0.
-2, 1
Let w = 614 - 610. Let m(l) be the first derivative of -1 + 0*l**2 + 1/6*l**w + 2/9*l**3 + 0*l. Determine q so that m(q) = 0.
-1, 0
Let b(o) be the third derivative of 7*o**8/16 - 9*o**7/5 + 109*o**6/40 - 9*o**5/5 + o**4/2 + o**2 + 16. Let b(g) = 0. What is g?
0, 2/7, 1
Determine z so that 45/4 - 183/8*z + 3/4*z**2 = 0.
1/2, 30
Let p(a) be the first derivative of a**6/30 - a**5/20 - a**4/12 + a**3/6 + 20*a + 30. Let b(z) be the first derivative of p(z). Suppose b(h) = 0. Calculate h.
-1, 0, 1
Suppose -a + 4*h = 2*h - 7, 5*h - 5 = -5*a. Determine q, given that -2201*q**a + 5*q**5 + 35*q**2 + 10*q + 2246*q**3 + 14*q**4 + 11*q**4 = 0.
-2, -1, 0
Find y, given that 22*y**2 - 6*y**5 + 9*y**5 - 9*y**4 - 6*y**3 + 20*y**2 + 12*y**2 + 3*y - 36*y**2 - 9 = 0.
-1, 1, 3
Let t be 579/42 + (-4)/14. Let o = t - 13. Suppose 0*z - 1/2*z**4 + 0 - o*z**5 + 1/2*z**3 + 1/2*z**2 = 0. Calculate z.
-1, 0, 1
Let d(p) be the third derivative of -p**6/30 + 6*p**5 - 352*p**4 + 7744*p**3/3 + 266*p**2. Determine z, given that d(z) = 0.
2, 44
Let m(r) be the first derivative of -2/3*r**3 - 8*r - r**2 + 2. Let h(z) = 5*z**2 + 6*z + 23. Let i(g) = 4*h(g) + 11*m(g). Let i(d) = 0. What is d?
-1, 2
Let o = -125657/6 + 20947. Factor 10/3*z**2 + 0 + o*z - 5/6*z**3.
-5*z*(z - 5)*(z + 1)/6
Let l = -9391/18 - -522. Let d(c) be the first derivative of -1 - 1/6*c**2 + 1/30*c**5 + 0*c + l*c**3 - 1/6*c**4. Determine v so that d(v) = 0.
0, 1, 2
Let y(g) = -g**3 - g**2 + 2*g + 2. Let r be y(-1). Find d, given that 4 + 2*d**3 + 8*d - 4*d**3 + r*d**3 - 2*d = 0.
-1, 2
Let o = 1996/5 + -3947/10. Factor 0 + 0*r - o*r**4 - 3*r**3 + 3/2*r**2.
-3*r**2*(r + 1)*(3*r - 1)/2
Suppose -8*n + 4*n - 4*w = -68, -43 = -4*n + w. Suppose -20 = -n*a + 2*a. Suppose 1/2*g**3 + a*g + 0 - 2*g**2 = 0. Calculate g.
0, 2
Let v(y) be the first derivative of y**6/18 + 11*y**5/15 + 3*y**4 + 16*y**3/9 - 32*y**2/3 - 30. Determine n, given that v(n) = 0.
-4, 0, 1
Let m(c) be the first derivative of -11 - 1/4*c**4 - 1/5*c**5 + 0*c - 1/18*c**6 - 1/9*c**3 + 0*c**2. Let m(z) = 0. What is z?
-1, 0
Let g(j) be the second derivative of 0 - 17*j + 1/6*j**6 + 15/4*j**4 + 35/6*j**3 + 5/4*j**5 + 5*j**2. Determine f so that g(f) = 0.
-2, -1
Let l(o) be the first derivative of 5*o**4/4 + 50*o**3/3 - 5*o**2/2 - 50*o - 204. Suppose l(a) = 0. Calculate a.
-10, -1, 1
Let z(h) be the third derivative of h**5/12 + 515*h**4/12 + 53045*h**3/6 - 18*h**2 + 6*h. Factor z(y).
5*(y + 103)**2
Let f(n) be the first derivative of 16 + 15*n**2 - 14/3*n**3 - 18*n + 1/2*n**4. Solve f(u) = 0.
1, 3
Let x = 76 - 75. Let j(p) = p**4 + p**3 - p**2 - p. Let y(a) = 27*a**4 + 72*a**3 + 67*a**2 + 26*a + 4. Let c(l) = x*y(l) - 2*j(l). Factor c(s).
(s + 1)**2*(5*s + 2)**2
Determine u so that -28*u**4 - 445*u**5 + 0 + 28*u**2 + 0 - 24*u**3 + 26*u + 443*u**5 = 0.
-13, -1, 0, 1
Suppose 8*f + 29 = 53. Let x(o) be the second derivative of 11/15*o**3 + 2/5*o**2 - f*o + 7/50*o**5 + 8/15*o**4 + 0. What is h in x(h) = 0?
-1, -2/7
Let s(x) be the second derivative of x**6/180 + x**5/30 - 7*x**4/72 - 5*x**3/18 + 13*x + 1. Determine y so that s(y) = 0.
-5, -1, 0, 2
Factor -86/3*c + 2/9*c**2 + 256/9.
2*(c - 128)*(c - 1)/9
Let h(k) be the second derivative of -k**5/100 + 7*k**4/60 + k**3/30 - 7*k**2/10 + 4*k - 47. Factor h(f).
-(f - 7)*(f - 1)*(f + 1)/5
Suppose -6/5*w**3 + 24/5*w - 8 + 58/5*w**2 = 0. What is w?
-1, 2/3, 10
Suppose 8 = -q + 5*p, -5*q + 4*p - 20 + 1 = 0. Let o = q - -3. Let k**2 + 1/4*k**4 + o*k + 0 - k**3 = 0. Calculate k.
0, 2
Let x(p) = -p**3 - 6*p**2 - 27*p - 108. Let v be x(-5). Determine h so that -4/3*h**v + 0*h + 2/3 + 2/3*h**4 + 0*h**3 = 0.
-1, 1
Let l**3 - 45*l - 25 + 0*l**3 + 4*l**3 - 15*l**2 = 0. What is l?
-1, 5
Let z(m) be the third derivative of -8*m**7/1155 + 7*m**6/132 - 2*m**5/15 + m**4/11 - 22*m**2. Factor z(w).
-2*w*(w - 2)**2*(8*w - 3)/11
Let x(b) = -140*b**2 - 16*b + 14. Let z(v) be the first derivative of 2*v + 18. Let a(n) = -x(n) - z(n). Factor a(k).
4*(5*k + 2)*(7*k - 2)
Find p such that 4/3*p**2 + 22/9*p + 2/9*p**3 + 4/3 = 0.
-3, -2, -1
Let d(u) = 14*u**2 + 267*u + 21. Let x be d(-19). Factor 1/3*z**3 + 1/3*z**x - 1/3 - 1/3*z.
(z - 1)*(z + 1)**2/3
Suppose 0*p - 5*a = -2*p + 39, 0 = -5*p - 5*a + 10. Suppose 0 = -t - p*t + 40. Factor 4*o**2 - 2*o - 12*o**3 + 8*o + o + t*o - 4.
-4*(o - 1)*(o + 1)*(3*o - 1)
Suppose 46*m**4 + 100*m**2 - 1860*m**3 + 5*m**5 - 16*m**5 + 3*m**5 + 196*m**4 + 350*m**2 = 0. What is m?
0, 1/4, 15
Let t(w) = 16*w**3 - 214*w + 430. Let j(f) = 5*f**3 - 72*f + 143. Let z(u) = -10*j(u) + 3*t(u). Factor z(p).
-2*(p - 5)*(p - 2)*(p + 7)
Let x(t) be the second derivative of 2*t**6/5 + 4*t**5/5 - t**4/3 - 4*t**3/3 + 631*t. Factor x(f).
4*f*(f + 1)**2*(3*f - 2)
Let m(w) be the second derivative of -w**4/24 - 115*w**3/3 - 13225*w**2 + 666*w. What is p in m(p) = 0?
-230
Let j be 423/(-144)*2 + 6. Let k(b) be the first derivative of 0*b**2 + 5 - j*b**4 + 1/3*b**3 + 0*b. Find p such that k(p) = 0.
0, 2
Let y(g) = g**2 - 8*g + 7. Let b be y(6). Let o = b + 11. Suppose 5*w**2 - 4*w**2 + 5*w**2 - o*w - 2*w**3 + 2 = 0. What is w?
1
Factor 5/8*n**4 - 3/4 - 19/8*n**3 - 41/8*n - 59/8*n**2.
(n - 6)*(n + 1)**2*(5*n + 1)/8
Factor -3/2*k**4 + 87/2*k**3 - 693/2*k**2 + 7986 - 363/2*k.
-3*(k - 11)**3*(k + 4)/2
Factor 1/2*m**3 + 0*m + 0 - m**2.
m**2*(m - 2)/2
Suppose 2*f = -2*a + 36, 5*f - 65 = -a + 29. Suppose 7 = -4*q + f. Factor 1/3 + 0*u**2 - 1/2*u + 1/6*u**q.
(u - 1)**2*(u + 2)/6
Let r(h) be the first derivative of 2*h**7/21 + 17*h**6/30 + 4*h**5/5 + h**4/4 + 3*h + 11. Let q(n) be the first derivative of r(n). Factor q(l).
l**2*(l + 1)*(l + 3)*(4*l + 1)
Let c(m) = m**3 + 2*m**2 - 4*m - 3. Let f be c(-2). Determine i, given that -23*i**2 + 3*i + 12*i + 0*i - 5*i**3 - f*i = 0.
-5, 0, 2/5
Let u(n) = n**2 + n + 4. Let q(b) = -6*b**2 + 33*b - 92. Let a(h) = q(h) + 5*u(h). Suppose a(k) = 0. What is k?
2, 36
Let i be 3/(-3) - (-987)/819. Let f(q) be the first derivative of -i*q**3 + 1/26*q**4 + 5 + 5/13*q**2 - 4/13*q. Factor f(v).
2*(v - 2)*(v - 1)**2/13
Suppose -260 = -42*v - 10*v. Let t(x) be the second derivative of -7/27*x**3