/525*6. Find m, given that 6/11 + c*m + 2/11*m**2 = 0.
-3, -1
Let v = 8 - 8. Suppose 2*s - 8 = -v*s. Factor -u**3 + 2*u**s - u**3 - u + u - 4*u**2.
2*u**2*(u - 2)*(u + 1)
Suppose 0 = -q + 1, 5*q = -4*d - 6 + 19. Let p be 6/(-18) + d/3. Factor 0 - p*z - 2/3*z**2 - 1/3*z**3.
-z*(z + 1)**2/3
Find g, given that 12*g**4 + 28*g**3 - 2*g**5 + 31*g**2 + 4 + 4*g**5 + g**2 + 18*g = 0.
-2, -1
Suppose 2*i - 4 = -n, 2*i + 2 + 2 = n. Let b(c) = -c**2 + 2*c + 8. Let t be b(4). Suppose t*v + 0 + 0*v**4 - 2/3*v**3 + i*v**2 + 2/3*v**5 = 0. What is v?
-1, 0, 1
Suppose y = -y. Suppose y = 6*g - 6 - 6. Let 4/3*d + 10/3*d**g + 2/3*d**3 - 10/3*d**4 + 0 - 2*d**5 = 0. What is d?
-1, -2/3, 0, 1
Let v(u) = -11*u**2 - 9*u - 6. Let o(k) = 10*k**2 + 10*k + 5. Let i(h) = -6*o(h) - 5*v(h). Factor i(r).
-5*r*(r + 3)
Let l(x) = x - 5. Let r be l(8). Factor 3*i**2 - 4*i**2 - 3*i**2 + 6*i**r.
2*i**2*(3*i - 2)
Let s(z) be the third derivative of 3*z**7/980 + z**6/630 - z**3/6 + 4*z**2. Let d(p) be the first derivative of s(p). Factor d(l).
2*l**2*(9*l + 2)/7
Let k(t) = 5*t**2 - 4*t + 2. Let y be k(2). Suppose 3*r - 2*a - y = -3*a, 5*r + 4*a - 28 = 0. Factor 2*j**3 + 1 + 2*j**2 + r*j**2 + 1 + 6*j.
2*(j + 1)**3
Determine c so that -2*c - 2*c**2 - 6 + 1 + 5 = 0.
-1, 0
Factor 33*c**3 + 24*c + 6 + 24*c**2 + 21*c + 48*c**2.
3*(c + 1)**2*(11*c + 2)
Let -19*r**2 - 8*r**4 - 8 + r**5 + 10*r**2 + 28*r - 29*r**2 + 25*r**3 = 0. Calculate r.
1, 2
Let w = -446 + 4910/11. Factor -w + 2/11*r**2 + 2/11*r.
2*(r - 1)*(r + 2)/11
Suppose -25 = -2*f - 3*f. Let j(r) be the third derivative of -1/300*r**6 + 1/15*r**3 - 1/150*r**f + r**2 + 1/60*r**4 + 0 + 0*r. Suppose j(i) = 0. Calculate i.
-1, 1
Let l(p) be the second derivative of -p**7/126 + p**6/18 - p**5/30 - 7*p**4/18 + p**3/6 + 3*p**2/2 - 18*p. Let l(f) = 0. What is f?
-1, 1, 3
Let s(w) = w**5 - 3*w**4 + 3*w**3 + 4*w**2 + 3*w + 3. Let y(v) = -2*v**5 + 3*v**4 - 4*v**3 - 5*v**2 - 4*v - 4. Let o(x) = 4*s(x) + 3*y(x). Factor o(t).
-t**2*(t + 1)**2*(2*t - 1)
Suppose -33 = -3*q + 3*a, 2*q = 5*a - 13 + 50. Let 0 + 4 + 0 - 2*v**2 + 4*v - q*v = 0. Calculate v.
-2, 1
Factor 16 - 34 + 18 + a**3 - a**2.
a**2*(a - 1)
Let h(n) = -n**5 + 3*n**4 + 2*n**2 - 2*n - 2. Let b(i) = 9*i**5 - 30*i**4 - 21*i**2 + 21*i + 21. Let v(f) = 2*b(f) + 21*h(f). Factor v(u).
-3*u**4*(u - 1)
Factor 0 + 0*w + 1/3*w**2 + 1/3*w**3.
w**2*(w + 1)/3
Let m(f) = -5*f - 5. Let s be m(-4). Suppose -3*c - 2*v + s = 0, 0 = -4*c + v - 2 + 22. What is q in -2*q + 2*q**2 - 1 + c - 4 = 0?
0, 1
Determine q, given that 4/5 + 2/5*q**4 - 6/5*q**2 - 2/5*q + 2/5*q**3 = 0.
-2, -1, 1
Let 52/5*g**2 - 8/5 + 4/5*g + 24/5*g**3 = 0. What is g?
-2, -1/2, 1/3
Let s(u) be the first derivative of -u**6/2340 + u**5/260 + u**4/39 + 2*u**3/3 + 5. Let v(n) be the third derivative of s(n). Factor v(o).
-2*(o - 4)*(o + 1)/13
Let z(c) be the second derivative of 0*c**2 + 1/60*c**5 + 0 - 3*c + 1/18*c**4 + 1/18*c**3. Let z(t) = 0. Calculate t.
-1, 0
Suppose 0 = -3*i + 7*i - 8. Suppose -5*a + 13 = s, a + 5*s + 13 = i*a. Factor -2*y**3 - y**3 + 3*y + 1 - y**a.
-(y - 1)*(2*y + 1)**2
Let p(d) = d**2 - d - 4. Let r be p(-6). Solve 2*g**2 - r + 38 - g**3 - g = 0 for g.
0, 1
Let x(t) be the second derivative of 9*t**5/14 - 8*t**4/7 + 17*t**3/21 - 2*t**2/7 + 8*t. Solve x(p) = 0.
1/3, 2/5
Let g(m) be the first derivative of 9*m**4/8 + 7*m**3/6 - m**2/2 - 12. Suppose g(w) = 0. Calculate w.
-1, 0, 2/9
Let l(k) be the first derivative of 0*k - 1/2*k**2 - 2/3*k**3 - 2 - 1/4*k**4. Solve l(s) = 0.
-1, 0
Let c(g) be the second derivative of g**6/6 - g**5/2 - 35*g**4/12 - 10*g**3/3 - 4*g - 1. Let c(n) = 0. What is n?
-1, 0, 4
Let d(o) be the first derivative of -o**5/5 + o**3/3 - 5. Solve d(p) = 0.
-1, 0, 1
Let i(j) be the third derivative of j**8/56 - 4*j**7/105 - j**6/60 + j**5/15 + 54*j**2. Determine b, given that i(b) = 0.
-2/3, 0, 1
Let r be (-4)/(4*1/(-6)). Let j(o) be the first derivative of o**2 + 16/5*o**5 - o**r + 0*o - 3 - 3*o**4 + 0*o**3. Let j(g) = 0. What is g?
-1/3, 0, 1
Solve 0 + 2/5*k**2 + 4/5*k = 0.
-2, 0
Factor 2/5*x**3 - 2/5*x - 1/5*x**4 - 3/5 + 4/5*x**2.
-(x - 3)*(x - 1)*(x + 1)**2/5
Let h(f) be the second derivative of -3*f**5/20 - f**4/4 + 2*f. Factor h(m).
-3*m**2*(m + 1)
Let v(w) be the second derivative of -11*w**7/168 + w**6/6 - 7*w**5/80 - w**4/24 - 37*w. Factor v(a).
-a**2*(a - 1)**2*(11*a + 2)/4
Let s(h) = h + 4. Let z be s(-2). Factor -6*g**2 + z*g**2 - 5*g**3 + 2*g - g**3.
-2*g*(g + 1)*(3*g - 1)
Suppose -15 = 3*j + 6. Let f = j + 13. Factor 2 + 3*b**4 + 2*b - 2*b**4 - 3*b**4 + 4*b**3 - f*b.
-2*(b - 1)**3*(b + 1)
Let a(x) = x**3 - 2*x - 1. Let d be a(2). Determine u, given that 6*u**3 + 2*u - 2*u**2 - 8*u**4 + 2*u**5 + 6*u**3 - 6*u**2 + 0*u**d = 0.
0, 1
Let g(j) be the third derivative of j**6/720 + j**5/240 - 2*j**3/3 + 2*j**2. Let t(v) be the first derivative of g(v). Suppose t(c) = 0. Calculate c.
-1, 0
Suppose 3*a - 2*a = 0. Let w be 6*4/6 - a. Factor -w + 0 + 3 + 2*j - j**2.
-(j - 1)**2
Let z(y) = 2*y + 1 - 1 - 2 - 8. Let x be z(7). Factor -k**x - k**4 + 4*k**4 + 2*k**2 - 4*k**3.
2*k**2*(k - 1)**2
Let t(d) = -d**3 - d**2 - 6*d. Let y = -4 + 3. Let m be (y*(-16 - -2))/2. Let j(f) = f**3 + f**2 + 7*f. Let p(q) = m*t(q) + 6*j(q). Factor p(h).
-h**2*(h + 1)
Let f(v) be the first derivative of -v**4/2 - 2*v**3/3 + 9. Find a, given that f(a) = 0.
-1, 0
Suppose w - 11 = -3*c, c + w = -0*w + 3. Let z(u) = 66*u**2 - 51*u - 21. Let r(b) = -13*b**2 + 10*b + 4. Let o(g) = c*z(g) + 21*r(g). Factor o(a).
-3*a*(3*a - 2)
Let u(r) = 14*r - 14. Let j be u(1). Factor 3/7*l**2 + j + 0*l**3 - 3/7*l**4 + 0*l.
-3*l**2*(l - 1)*(l + 1)/7
Suppose -k + 275 = -6*k. Let n be 2/(-3) - k/15. Determine j so that 4 - 3 + 10*j**2 + n - 14*j = 0.
2/5, 1
Let l be 0/((2 - 3)*1). Let w(a) be the third derivative of l*a - a**2 + 0 + 0*a**3 - 1/36*a**4 - 1/45*a**5 - 1/180*a**6. Factor w(t).
-2*t*(t + 1)**2/3
Let k = -19/20 + 6/5. Let m(i) be the first derivative of -3/16*i**4 + 0*i - 1 + k*i**3 + 0*i**2. Solve m(u) = 0.
0, 1
Let c(z) be the third derivative of 0 + 2/15*z**5 + 2/75*z**6 - z**2 + 0*z + 17/120*z**4 + 1/15*z**3. Solve c(s) = 0.
-2, -1/4
Let u(q) be the first derivative of -1 - 1/96*q**4 + 0*q**3 - q**2 + 0*q + 1/240*q**5. Let p(r) be the second derivative of u(r). Let p(t) = 0. Calculate t.
0, 1
Let a be (1 - (1 - 4)) + -2. Factor 13*v**2 - 14*v**2 + 2 - a*v + v.
-(v - 1)*(v + 2)
Let f(k) be the third derivative of -k**6/30 + k**5/15 + 16*k**2. Factor f(w).
-4*w**2*(w - 1)
Let z(r) be the third derivative of -r**5/30 - 5*r**4/12 + 11*r**2. Suppose z(s) = 0. Calculate s.
-5, 0
Let h = -491/6 - -82. Let u(l) be the second derivative of 0 + 0*l**2 - 2/3*l**3 - 2*l - h*l**4. Determine i, given that u(i) = 0.
-2, 0
Let g(m) be the second derivative of -m**5/140 + m**4/42 + 4*m. Factor g(h).
-h**2*(h - 2)/7
Suppose -5*c = -2*c + v - 9, 5*c - 16 = -2*v. Suppose 3*x - 15 = -c*x. Factor -4*y**4 - 4*y**4 - 2*y**4 + 2*y**x + 8*y**5.
2*y**3*(y - 1)*(4*y - 1)
Suppose 3*u = 8*u - 25. Let i(r) be the third derivative of -1/12*r**4 + r**2 + 0 - 1/42*r**u - 2/21*r**3 + 0*r. Find s such that i(s) = 0.
-1, -2/5
Factor 0 + 5*r + 5*r**2 + 0.
5*r*(r + 1)
Factor 243/7*h**5 + 240/7*h + 810/7*h**4 + 1080/7*h**3 + 720/7*h**2 + 32/7.
(3*h + 2)**5/7
Let u = -1 - -3. Find r, given that 3*r**2 - u*r - 6 + 3*r**3 - r + 3 = 0.
-1, 1
Suppose 0 - 4/7*c**2 + 8/7*c = 0. What is c?
0, 2
Let f = 1/59 + 113/295. Let c = -15/13 + 101/65. What is i in -f*i**2 + 0*i - c*i**4 - 4/5*i**3 + 0 = 0?
-1, 0
Let s(b) be the second derivative of -3*b**4/4 + b**3/2 + 5*b**2/2 - b. Let a(x) = -14*x**2 + 5*x + 8. Let u(d) = 5*a(d) - 8*s(d). Factor u(m).
m*(2*m + 1)
Suppose 0 = 2*k + 2*i - 4*i - 36, 2*k + 4*i = 60. Let s(y) = -51*y**2 + y - 11. Let h(j) = 10*j**2 + 2. Let x(d) = k*h(d) + 4*s(d). Factor x(p).
4*p*(4*p + 1)
Let q = -6 - -6. Determine c so that 2*c - 2 + q*c**2 + 2*c - 4*c**2 + 2*c**2 = 0.
1
Let d(y) = -y**3 + y**2 + y + 1. Let q(j) = 5*j**3 - 15*j**2 - 7*j - 13. Let v(h) = 6*d(h) + q(h). Let x be v(-9). Find k such that 6/5*k - 2/5*k**x - 4/5 = 0.
1, 2
Let m(i) be the second derivative of 0 + 0*i**3 - 3/100*i**5 + 1/20*i**4 - 5*i + 0*i**2. Find q, given that m(q) = 0.
0, 1
Let g(w) = -15*w**4 + 38*w**3 + 8*w**2 - 13*w. Let y = 6 - 3. Let i(o) = 7*o**4 - 19*o**3 - 4*o