132 + 1060/935. Find o, given that 0*o - 4/17*o**2 - b*o**3 - 8/17*o**4 + 0 - 2/17*o**5 = 0.
-2, -1, 0
Suppose 2*s + 5 = 29. Let l = s + -23/2. What is t in 0 + 0*t + 1/2*t**5 - t**4 + l*t**3 + 0*t**2 = 0?
0, 1
Suppose 2*c - 43 = 4*z + 3*c, -1 = -2*z - 5*c. Let w = 16 + z. Factor 1/3 + 0*k**3 + 0*k - 2/3*k**2 + 1/3*k**w.
(k - 1)**2*(k + 1)**2/3
Let y(j) be the second derivative of -j**6/3 + 5*j**5/12 + 5*j**4/6 - 25*j**3/18 + 2*j - 2. Determine h, given that y(h) = 0.
-1, 0, 5/6, 1
Let r(p) = -3*p - 12. Let x be r(-6). What is l in l**2 + 27*l + 6*l**3 - x - 51*l**3 - l**2 - 12*l**2 = 0?
-1, 1/3, 2/5
Let z(x) be the second derivative of -x**6/18 - x**5/6 + 5*x**4/36 + 5*x**3/9 + 47*x. Factor z(c).
-5*c*(c - 1)*(c + 1)*(c + 2)/3
Let t(d) be the first derivative of 0*d**2 + 1/50*d**5 + 2 + 2/15*d**3 + d + 1/10*d**4. Let m(q) be the first derivative of t(q). Factor m(c).
2*c*(c + 1)*(c + 2)/5
Let r(w) = -w**2 - 4*w - 1. Let t(l) = 3*l**2 + 4*l**2 + 1 + 0*l**2 - 5*l**2 + 7*l. Let z(v) = 5*r(v) + 3*t(v). Solve z(k) = 0.
-2, 1
Let q be (-1 - ((-119)/15)/7)*5. Factor q*p - 4/3 + 2/3*p**2.
2*(p - 1)*(p + 2)/3
Factor j - 1/5 + 1/5*j**5 - j**4 + 2*j**3 - 2*j**2.
(j - 1)**5/5
Determine o, given that -1/2 + 2*o**4 - 13/8*o**2 - 2*o + 1/2*o**5 + 13/8*o**3 = 0.
-2, -1/2, 1
Let q(b) = 15*b**3 - 49*b**2 - 40*b + 29. Let l(f) = 44*f**3 - 148*f**2 - 120*f + 86. Let z(j) = 5*l(j) - 14*q(j). Factor z(h).
2*(h - 6)*(h + 1)*(5*h - 2)
Let n(t) be the second derivative of 2*t**6/15 + t**5/5 - t**4/3 - 2*t**3/3 + 7*t. Factor n(k).
4*k*(k - 1)*(k + 1)**2
Let t be 141/231 + 9/(-21). Factor 2/11*b**5 + 0 + 0*b**2 - t*b**3 + 0*b**4 + 0*b.
2*b**3*(b - 1)*(b + 1)/11
Suppose 4*a + 3*b + 0 = -1, 2*a + 5*b = -11. Suppose -a*j + 1 = -9. Factor -1/4*o + 0 + 1/2*o**4 + 1/4*o**j + 0*o**3 - 1/2*o**2.
o*(o - 1)*(o + 1)**3/4
Let x be -3 - (-3 + 3 + -4). Let x + 10*u + 12*u**2 + 4 - 3 = 0. What is u?
-1/2, -1/3
Let r(v) = v**3 - v. Suppose 0*c - 72 = -4*c. Let i(l) = 3*l**4 - 12*l**3 + 18*l. Let w(a) = c*r(a) + i(a). Suppose w(f) = 0. Calculate f.
-2, 0
Let g be 2*1/(-2) + 17. Suppose 2*b = 2*y + g, y = 5*b + 2*y - 10. Determine l so that -l**4 + 6*l**4 - 5*l**b - l**4 - 2*l**3 + l + 2*l**2 = 0.
-1/4, 0, 1
Let q(x) be the second derivative of x**8/672 - x**7/84 + 3*x**6/80 - 7*x**5/120 + x**4/24 + x**2/2 + x. Let d(o) be the first derivative of q(o). Factor d(t).
t*(t - 2)*(t - 1)**3/2
Let x = 12 + -10. Determine h so that -10*h**x + h**2 - 35*h + 29*h + 3*h**4 = 0.
-1, 0, 2
Let b(h) = -5*h**3 + h. Let p be b(-1). Suppose 4*m - m = 0. Suppose 3*n**2 + 8 + 5*n - n**4 - 6 - n**3 + m*n**p = 0. What is n?
-1, 2
Factor -16/5*p - 16/5 - 4/5*p**2.
-4*(p + 2)**2/5
Suppose 0 = -0*u + 2*u + 4*p - 8, -10 = 3*u - 5*p. Suppose u*i - i + q + 1 = 0, 0 = -3*i - 4*q + 17. Suppose 2/7*b**i + 0 + 4/7*b**2 + 2/7*b = 0. What is b?
-1, 0
Let x = -213/55 - -23/5. Determine a so that -8/11*a**3 - x + 6/11*a**2 + 2/11*a**4 + 8/11*a = 0.
-1, 1, 2
Factor -1 + 3*x**2 - 5*x**2 - x + 0 + 4*x**2.
(x - 1)*(2*x + 1)
Let u(m) be the third derivative of m**8/672 + m**7/70 + m**6/20 + m**5/15 - 7*m**2. Factor u(a).
a**2*(a + 2)**3/2
Suppose -4*v - 712 = 440. Let f be (-6)/21 - v/28. Factor 0 - 1/2*u**5 + 7/2*u**4 - 9*u**3 + f*u**2 - 4*u.
-u*(u - 2)**3*(u - 1)/2
Let d = 382 + -379. Let -6*v**d + 0 + 4/3*v - 14/3*v**2 = 0. Calculate v.
-1, 0, 2/9
Suppose o + 7 = 3*o - 3*c, -5*o - 4*c + 6 = 0. Factor 0*r**2 - r - 1 - r**3 + 2*r - 1 + 2*r**o.
-(r - 2)*(r - 1)*(r + 1)
Suppose 14*q - 9*q - 10 = 0. Factor 0*u - 2/3*u**q + 0 - 1/3*u**3.
-u**2*(u + 2)/3
Let r(x) = -9*x + 17. Let q(i) = 4*i - 8. Let c(l) = 7*q(l) + 3*r(l). Let t be c(8). Determine u, given that -2*u**3 + 0*u**4 + 2*u**4 + 0*u**t = 0.
0, 1
Let r(d) = -d**3 - 2*d**2 + 2. Let t be r(-2). Let m be 0/(10/15*(-6)/4). Find k, given that -1 - 1 - t*k**3 + 6*k**2 + m*k**2 - 6*k + 4 = 0.
1
Let y(t) = t**2 - 7*t + 8. Let i be y(6). Find s, given that 0*s**i + 4*s**2 + 3 + 6*s + 3*s**2 - 4*s**2 = 0.
-1
Let -16/7*w + 2/7*w**2 + 32/7 = 0. What is w?
4
Let p(r) be the third derivative of r**5/15 + 5*r**4/6 - 47*r**2. Factor p(x).
4*x*(x + 5)
Let a = -37/5 - -116/15. Let g(w) be the third derivative of -1/60*w**5 + 0*w + 1/24*w**4 + 3*w**2 + 0 + a*w**3. Factor g(l).
-(l - 2)*(l + 1)
Let v = 27 - 6. Let l be (-2)/(-7) + 1/v. Let -1/3*s - l*s**2 + 2/3 = 0. Calculate s.
-2, 1
Suppose -2*p + 3*l = 16 + 19, 30 = -p + 4*l. Let q(s) = s**3 + 10*s**2 + s + 10. Let i be q(p). Factor i*d + 1/2*d**2 + 0 + 9/2*d**5 + 3/2*d**4 - 5/2*d**3.
d**2*(d + 1)*(3*d - 1)**2/2
Let c(x) = x**2 - 2. Let t be c(-3). Let f(l) = -l + 9. Let a be f(t). Factor 0*s**4 - 2*s**a - s**4 - 2*s + 2*s**3 + 3*s**4.
2*s*(s - 1)*(s + 1)**2
Let y = -4 - -6. Solve -3*g**3 + 4*g**3 + g**2 - 4*g**y - 4*g**3 = 0.
-1, 0
Let u(g) be the second derivative of -g**5/5 + g**4 - 2*g**3 + 2*g**2 - 9*g. Find p such that u(p) = 0.
1
Let x = -8 + 11. Factor 3*u + 6*u**2 + 6*u**3 - x*u**3 + 0*u**3.
3*u*(u + 1)**2
Let i(p) be the second derivative of -p**4/28 + p**3/14 + 6*p. Factor i(f).
-3*f*(f - 1)/7
Factor 21/5*x**2 + 49/5*x**3 - 24/5*x + 4/5.
(x + 1)*(7*x - 2)**2/5
Let j(t) be the first derivative of 2*t**5/35 - t**4/7 + 2*t**2/7 - 2*t/7 - 2. Determine h, given that j(h) = 0.
-1, 1
Let j(d) = -d**2 - 5*d + 2. Let g be j(-5). Let q = g + 2. Factor -1/4*h**5 + 0*h**q + 0*h**2 + 1/4*h**3 + 0 + 0*h.
-h**3*(h - 1)*(h + 1)/4
Let w = 9 + -6. Factor -2*g**3 + g**3 + 4*g**w - 4*g**3 - 2*g**2.
-g**2*(g + 2)
Let j = 3 - -4. Suppose z - 2*a = -1, -4*z = 4*a - j - 13. Factor -2/5*s - 3/5*s**4 + 0 - 7/5*s**2 - 8/5*s**z.
-s*(s + 1)**2*(3*s + 2)/5
Let n(j) = 6*j**3 - 14*j**2 - 9*j. Let b(s) = -3*s**3 + 7*s**2 + 4*s. Suppose -2*x - 2 + 14 = 0. Let g(h) = x*n(h) + 13*b(h). Let g(z) = 0. What is z?
0, 1/3, 2
Suppose -16 = -2*l + a, 3*l = 2*l - a + 8. Suppose -3*p + 10*p**2 + p - l*p**2 = 0. Calculate p.
0, 1
Let i be 6/((-5)/((-15)/6)). Factor 2*n**2 + 2*n**3 - 2*n**4 + 2*n + 0*n**4 + 2*n**3 - 6*n**i.
-2*n*(n - 1)*(n + 1)**2
Determine r, given that -7*r**2 + 10*r - 25*r**4 - 28*r**2 + 10*r**3 + 40*r**4 = 0.
-2, 0, 1/3, 1
Factor 0 + 2/5*o**3 + 4/5*o**2 + 2/5*o.
2*o*(o + 1)**2/5
Suppose -1/6 + g + 2/3*g**3 - 3/2*g**2 = 0. Calculate g.
1/4, 1
Let n be 12/18*(-478)/4. Let j = n - -81. Suppose -10/3*l**2 + 14/3*l - j = 0. Calculate l.
2/5, 1
Suppose -5*k + 3 = -4*k. Factor -41*n**3 + 1 - 7 - 21*n**4 - 30*n**3 + 2*n**k - 39*n - 81*n**2.
-3*(n + 1)**3*(7*n + 2)
Let q(x) = -7*x**2 + 4*x - 7. Let z(r) = -13 - 5 + 3 + 10*r - 15*r**2 - r. Let g(d) = 13*q(d) - 6*z(d). Factor g(a).
-(a + 1)**2
Let h(m) = -10*m**2 + 10*m - 6. Suppose 31 = -5*s + 6. Let k(u) = u**3 + 21*u**2 - 20*u + 13. Let v(p) = s*h(p) - 2*k(p). Factor v(d).
-2*(d - 2)*(d - 1)**2
Let a be -4*2/(-2) - (-4)/(-4). Let s(n) be the first derivative of -1/12*n**a - 3 + 0*n**2 + 0*n. Factor s(x).
-x**2/4
Let t be (2 + (-200)/90)*18/(-2). Determine q, given that 1/3 + 3/2*q**t + 5/6*q**3 + 1/6*q**4 + 7/6*q = 0.
-2, -1
Let c = 1973/2135 - 25/61. Let g(y) be the first derivative of -32/21*y**3 - c*y**5 + 3/2*y**4 + 4/7*y**2 + 0*y + 1. Suppose g(s) = 0. What is s?
0, 2/3, 1
Let c(v) = -4*v - 122. Let w be c(-31). Solve 0*y + 3/4*y**w + 0 = 0 for y.
0
Suppose 0 = n - n + 3*n. Let s(p) be the second derivative of 0*p**4 - 1/70*p**5 + 0 + n*p**2 - p + 1/21*p**3. What is h in s(h) = 0?
-1, 0, 1
Let o = 389/508 + -2/127. Let 3/2*y - 3/4 - o*y**2 = 0. What is y?
1
Let h(b) be the second derivative of -b**7/630 + b**6/180 - b**4/12 - b. Let t(l) be the third derivative of h(l). Factor t(v).
-4*v*(v - 1)
Let w(h) be the second derivative of h**4/84 + h**3/42 - 4*h. Suppose w(x) = 0. What is x?
-1, 0
Suppose -5 = 4*n + 7. Let u(y) = y**3 + 2*y**2 - 5*y - 4. Let l be u(n). Factor 0*k + 2/3*k**4 + 0 - 2/3*k**l + 0*k**3.
2*k**2*(k - 1)*(k + 1)/3
Let t(w) be the second derivative of -w**6/30 + 3*w**5/20 - w**4/4 + w**3/6 - 5*w - 1. Find g, given that t(g) = 0.
0, 1
Let g be 2457/(-520) + (2 - -1). Let m = g + 17/8. Suppose m*r - 6/5*r**2 + 0 = 0. Calculate r.
0, 1/3
Let t(m) be the first derivative of -5*m**6/42 - 18*m**5/35 - 17*m**4/28 + 2*m**2/7 - 35. Determine n so that t(n) = 0.
-2, -1, 0, 2/5
Let b(t) be the first derivative of -t**7/3360 + t**6/1440 + 2*t**3/3 + 2. Let p(j) be the third derivative of b(j). 