4/1397 + -96/127. Suppose 142/11*c**3 - 40/11*c**4 + 20*c**2 + 16/11 + g*c - 50/11*c**5 = 0. Calculate c.
-1, -2/5, 2
Let o(w) = -w**2 - 5*w - 2. Let s be o(-2). Suppose 3*a - 32 = -a - s*i, 3*i + 25 = 4*a. Factor l**3 + 2*l**5 + l + 5*l**2 + l**3 + 2*l**4 + a*l**3 + 5*l**4.
l*(l + 1)**3*(2*l + 1)
Let h be (-13 + 10)/((-3)/4). Let k(m) be the third derivative of 0*m + m**2 + 0 + 0*m**3 + 1/120*m**5 + 1/96*m**h + 1/480*m**6. Find z, given that k(z) = 0.
-1, 0
Let t(k) = -2*k**2 + 9*k + 8. Let c be t(5). Find l such that 5/3*l**4 - 7/3*l + 7/3*l**c - 2/3 - l**2 = 0.
-1, -2/5, 1
Factor -4/9*t**2 - 1156/9 - 136/9*t.
-4*(t + 17)**2/9
Let h(u) be the third derivative of 1/90*u**5 - 1/1080*u**6 + 4*u**2 - 1/18*u**4 - 1/3*u**3 + 0 + 0*u. Let l(x) be the first derivative of h(x). Factor l(m).
-(m - 2)**2/3
Let q be 5/1*3/(-1). Let b be q/(-25)*(3 + 2). Find k such that -2/11*k**b + 0 - 2/11*k**2 + 0*k = 0.
-1, 0
Let w(r) be the third derivative of r**6/480 + r**5/120 - 10*r**2. Factor w(d).
d**2*(d + 2)/4
Let p(m) = m**3 - 8*m**2 + 7*m - 6. Let o(a) = -2*a**3 + 17*a**2 - 15*a + 13. Let f(v) = 6*o(v) + 13*p(v). Factor f(i).
i*(i - 1)**2
Let u = -41/105 - -8/15. Let n be -14 + 10 + (-12 - 0)/(-2). Factor 0*o**n + 2/7*o**3 - 2/7*o + 1/7*o**4 - u.
(o - 1)*(o + 1)**3/7
Let g = -703 + 2194/3. Let n = -28 + g. Determine f so that 1/3*f**2 - n*f + 0 = 0.
0, 1
Let n(k) = 2*k + 10. Let s be n(-7). Let i be (s + 5)/((-2)/(-6)). What is p in -i*p**4 + p**4 + 2*p**2 - p + 0*p**2 + 2*p**3 - p = 0?
-1, 0, 1
Let d = 49 - 32. Suppose 2*p - 9 = -2*y + y, d = p + 3*y. Factor -4*m**2 + 4*m**2 + 6*m + 2*m**3 - 2 - 6*m**p.
2*(m - 1)**3
Determine j so that -4/3*j**4 + 4*j**3 - 4*j - 4/3*j**2 + 8/3 = 0.
-1, 1, 2
Let p(g) = -980*g**5 + 661*g**4 + 371*g**3 - 40*g**2 - 24*g + 4. Let x(l) = l**4 + l**3 + l - 1. Let t(o) = -p(o) - 4*x(o). Let t(m) = 0. Calculate m.
-2/7, 0, 1/4, 1
Let h(c) be the first derivative of c**4/2 + 32*c**3/27 - 4*c**2/9 + 19. Determine j, given that h(j) = 0.
-2, 0, 2/9
Let z = 19/542 + -259675/1626. Let p = z - -161. Factor 2/3*o**2 + p*o + 2/3.
2*(o + 1)**2/3
Let q(m) be the second derivative of 1/15*m**4 - 1/75*m**6 + 0*m**3 + 0*m**5 + 3*m - 1/5*m**2 + 0. Determine h, given that q(h) = 0.
-1, 1
Factor -8/5*k - 4/5*k**2 + 4/5*k**4 + 8/5*k**3 + 0.
4*k*(k - 1)*(k + 1)*(k + 2)/5
Let u(p) be the first derivative of -p**5/50 + 2*p + 1. Let b(o) be the first derivative of u(o). Solve b(y) = 0.
0
Let w(i) be the third derivative of -i**5/12 + 5*i**4/12 + 2*i**2. Factor w(j).
-5*j*(j - 2)
Let g(m) = 6*m**2 - 30*m + 19. Let u(y) = -3*y**2 + 15*y - 10. Let p(i) = -2*g(i) - 5*u(i). Factor p(d).
3*(d - 4)*(d - 1)
Factor 0 - 2/7*z**3 + 4/7*z + 2/7*z**2.
-2*z*(z - 2)*(z + 1)/7
Let x = 18023/15 + -1201. Let q(k) be the first derivative of 1 + 4/5*k + x*k**3 + 1/10*k**4 + k**2. Determine d, given that q(d) = 0.
-2, -1
Let a = 10 + -10. Factor -2/9*m**3 + 2/9*m**2 - 2/9*m**4 + 2/9*m**5 + 0 + a*m.
2*m**2*(m - 1)**2*(m + 1)/9
Suppose 50*a - 30 = 40*a. Let z(q) = q**3 + 3*q**2 + 1. Let o be z(-2). Find s such that 1/4*s + 0*s**2 + 0 - 1/2*s**a + 1/4*s**o + 0*s**4 = 0.
-1, 0, 1
Let u(h) be the first derivative of -2*h**3/27 + 2*h**2/9 - 25. Determine y, given that u(y) = 0.
0, 2
Let w(c) be the first derivative of 3*c**4/8 - 9*c**2/4 + 3*c - 15. Factor w(m).
3*(m - 1)**2*(m + 2)/2
Let a be 4/(-6)*(-72)/128*2. Factor -3/4*g - 3/2*g**2 + 0 - a*g**3.
-3*g*(g + 1)**2/4
Factor -1/2*s**3 + 2 - 9/2*s + 3*s**2.
-(s - 4)*(s - 1)**2/2
Find q, given that 0*q + 13*q**2 + 10*q**3 - 2*q**3 + 4*q - 5*q**3 = 0.
-4, -1/3, 0
Determine l so that 3*l**2 - l**2 - 16*l + 2*l + 12 + 0*l**2 = 0.
1, 6
Let t(h) = 6*h**3 - 18*h**2 - 24*h + 9. Let k(n) = -n**3 + n**2 - n. Let g(u) = 3*k(u) - t(u). Suppose g(d) = 0. Calculate d.
-1, 1/3, 3
Let s(f) = -f**5 + f**2 + f. Let l(d) = 2*d**5 + 4*d**4 - 4*d**3 - 2*d**2 + 2*d. Let x(z) = l(z) - 2*s(z). Solve x(q) = 0.
-1, 0, 1
Let r(o) be the first derivative of -3*o**5/160 - o**4/8 - o**3/4 + 2*o - 2. Let m(i) be the first derivative of r(i). Factor m(q).
-3*q*(q + 2)**2/8
Let w(x) = -x**2. Let i(k) = 4*k**2 - k - 1. Let u(p) = 2*i(p) + 7*w(p). Let h(a) = 3*a**2 - 4*a - 5. Let n(q) = -2*h(q) + 5*u(q). Factor n(b).
-b*(b + 2)
Let s(w) = -w - 5. Let n be s(-10). Solve -k**3 - 1/2 + 0*k**4 + 1/2*k**2 + 3/4*k + 1/4*k**n = 0 for k.
-2, -1, 1
Let m be 5/(20/(-12)) - -3. Let x(v) be the second derivative of 1/3*v**3 - 2*v + 0*v**4 + 1/2*v**2 + m - 1/30*v**6 - 1/10*v**5. Find z such that x(z) = 0.
-1, 1
Let p(c) be the third derivative of -c**8/112 + 3*c**7/70 - 3*c**6/40 + c**5/20 - c**2. Factor p(w).
-3*w**2*(w - 1)**3
Let s be (-3 + 4)*(-60)/(-45). Factor 2/3*x + 2/3*x**5 - s*x**3 - 2/3 - 2/3*x**4 + 4/3*x**2.
2*(x - 1)**3*(x + 1)**2/3
What is i in 0*i + 1/10*i**4 + 1/10*i**5 + 0*i**2 + 0 + 0*i**3 = 0?
-1, 0
Let i be 2/(-8) - 9/(-4). Find l such that 4*l**5 + l**3 + 6*l**3 + 10*l**i + 10*l**3 + 14*l**4 + l**3 + 2*l = 0.
-1, -1/2, 0
Solve -5*n - 5*n**2 + 2*n + n + n**4 - 2*n**4 - 4*n**3 = 0 for n.
-2, -1, 0
Let j(c) be the third derivative of c**9/3780 - c**8/960 + c**7/1260 + c**6/720 - c**4/12 + 3*c**2. Let b(d) be the second derivative of j(d). Factor b(n).
n*(n - 1)**2*(4*n + 1)
Suppose 0*i - 4*i + 5*k + 12 = 0, -2*i = 2*k - 6. Suppose -3*c = -12, -5*m + 0*c + 17 = 3*c. Factor 0 - s**i - 3*s + s**2 + m + 2*s**2.
-(s - 1)**3
Let c(y) be the first derivative of -2*y**6/3 - 12*y**5/5 + 16*y**3/3 + 10. Solve c(w) = 0.
-2, 0, 1
Determine w, given that -1/5*w**5 - 3/5*w**3 + 4/5*w**2 - 4/5*w**4 + 4/5*w + 0 = 0.
-2, -1, 0, 1
Solve x**4 - 31 + 2*x**3 + 31 + x**2 + 0*x**3 = 0.
-1, 0
Let y(f) = f**3 + 11*f**2 + 11*f + 14. Let u be y(-10). Factor -3*b**2 + u + 6*b - 5 + 1.
-3*b*(b - 2)
Factor 3*n**3 + 3*n**3 - 2*n**5 + 8*n**4 + 0*n**3 - 36*n**2.
-2*n**2*(n - 3)**2*(n + 2)
Suppose -4*b + 5*n - 2 = -13, -n - 15 = -4*b. Factor -2/11*f**2 + 0*f + 0 - 2/11*f**5 + 2/11*f**3 + 2/11*f**b.
-2*f**2*(f - 1)**2*(f + 1)/11
Let a(j) be the second derivative of -j**7/294 + j**5/70 - j**3/42 + 15*j. Factor a(x).
-x*(x - 1)**2*(x + 1)**2/7
Solve 337 + 59*y + 4*y**2 - 139*y + 63 = 0 for y.
10
What is i in 81*i + 1/3*i**3 + 243 + 9*i**2 = 0?
-9
Let z be ((-25)/(-2))/5 - 2. Factor z*j - 1 + 3*j**2.
(2*j - 1)*(3*j + 2)/2
Suppose 0 - 2 + 5*u + 5*u**3 + 7 + 10*u + 15*u**2 = 0. What is u?
-1
Let j(b) = -5*b + 2 + b + b**3 + 3*b. Let o be j(0). Factor -2*t**2 + 4*t**4 - 2*t**2 - 3*t**5 - o*t + 5*t**5.
2*t*(t - 1)*(t + 1)**3
Let x(y) be the third derivative of -y**5/210 + y**4/42 - y**3/21 - 13*y**2. Factor x(l).
-2*(l - 1)**2/7
Let o = 9 - 7. What is r in -3*r**2 + 0*r**2 - r**3 + o*r**2 = 0?
-1, 0
Suppose -11 = -5*g + 4. Let j(u) be the first derivative of 1/6*u**6 + 0*u - 2 - 2/5*u**5 + 2/3*u**g - 1/2*u**2 + 0*u**4. Let j(n) = 0. What is n?
-1, 0, 1
Factor -4 - 10*y + 13*y**2 - 7/2*y**3.
-(y - 2)**2*(7*y + 2)/2
Let a = -2/1897 - -1909/11382. Factor 0*q - a*q**2 + 1/6.
-(q - 1)*(q + 1)/6
Let s(b) be the third derivative of -b**7/560 + b**6/160 - b**4/32 + b**3/16 - 40*b**2. Suppose s(u) = 0. Calculate u.
-1, 1
Let s(x) be the third derivative of 1/6*x**3 + 9*x**2 + 1/24*x**4 - 1/120*x**6 + 0*x + 0 - 1/60*x**5. Solve s(c) = 0 for c.
-1, 1
Let u(z) be the third derivative of 2*z**2 + 0*z**3 + 1/200*z**6 + 0*z + 0 - 1/75*z**5 + 1/120*z**4. Let u(t) = 0. What is t?
0, 1/3, 1
What is u in -17*u - 24 - 15*u - 18*u**2 + 0*u - 4*u - 3*u**3 = 0?
-2
Suppose -5*q - 2*g + 8 = 0, -2*g + 1 = -2*q - 7. Determine j, given that -j**2 - 2*j + q*j**2 - 1 + 4*j = 0.
1
Let j = -564 + 7344/13. Suppose 22/13*c + 6/13*c**2 + j = 0. What is c?
-3, -2/3
Let m(n) = 3*n**3 - 3*n**2 + 11*n - 11. Let v = 8 - 12. Let y(x) = x**3 - x**2 + 4*x - 4. Let f be 10 + 2 + -2 + 1. Let u(q) = f*y(q) + v*m(q). Solve u(t) = 0.
0, 1
Factor -2*m - 2*m**3 + 1/2 + 1/2*m**4 + 3*m**2.
(m - 1)**4/2
Let i be ((-9)/(-15))/(1/5). Suppose 4*q - 3*f - i = -1, 2*q - 3*f = -2. Factor -o + 2*o + o + 3*o**2 - o**q.
2*o*(o + 1)
Let s(j) = -10*j - 10. Let y(f) = -f**2 + 9*f + 10. Let t(z) = -4*s(z) - 5*y(z). Factor t(r).
5*(r - 2)*(r + 1)
Let i(p) be the first derivative of -p**5/25 + p**4/20 + p**3/15 - p**2/10 + 7. Let i(a) = 0. What is a?
-1, 0, 1
Factor 2/5*h**2 - 8/5*h + 6/5.
2*(h - 3)*(h - 1)/5
Suppose 4*b + 2*s = -0*b + 10, 3*b - 3*s = 12. Sol