ose -h + 2*h - g + 5 = 0, -h + 5*g - 25 = 0. Suppose 3*l - 11 = 5*d, 4*l = -h*d - 3*d + 5. Factor -14/11*m**3 - 16/11 - 60/11*m**l - 72/11*m.
-2*(m + 2)**2*(7*m + 2)/11
Let -4/5*u**2 + 14/5 - 11*u = 0. What is u?
-14, 1/4
Let t = 616 - 616. Factor -6/7*b**2 + 0*b + t - 3/7*b**3.
-3*b**2*(b + 2)/7
Let o(g) = -15*g**2 - 36*g. Let q(k) = -2 + 0 + 7*k + 3*k**2 + 2. Let y(t) = -4*o(t) - 21*q(t). Factor y(p).
-3*p*(p + 1)
Suppose -2*x - 1 = -7, 5*x = -y + 21. Suppose -i = 3 - y. What is c in -1/3*c + 1/3*c**i + 1/3*c**2 - 1/3 = 0?
-1, 1
Let j be (25/5)/(-5) - 17/(-7). Let s(o) = o**2 - 4*o - 5. Let c be s(5). Find m, given that 0*m + c + j*m**3 - 4/7*m**2 = 0.
0, 2/5
Suppose -3*p = -p + 8*p. Suppose -x = h + 1, 4*x - 2*x + 4*h + 4 = 0. Factor 1/3*l**3 + p + x*l + 1/3*l**2.
l**2*(l + 1)/3
Let i(h) = -3*h**3 + 43*h**2 - 14*h + 2. Let y be i(14). Let 23/2*q**2 + 7/2*q**3 + 10*q + y = 0. What is q?
-2, -1, -2/7
Let h = -16 - -35. Suppose -13 = -2*u + 3*x, -2*u + 3*x = 3*u - h. Factor -2/5*y**3 - 2/5 - 6/5*y - 6/5*y**u.
-2*(y + 1)**3/5
Suppose -10 = -5*l + 4*y, 3*l - 2*y = -0*y + 6. Factor -7*n**2 + n**2 - 3*n**3 - 3*n**l - 6*n.
-3*n*(n + 1)*(n + 2)
Find c, given that 0*c - 2/13*c**4 + 64/13 - 44/13*c**2 + 18/13*c**3 = 0.
-1, 2, 4
Determine x so that 10/9*x**3 + 0*x - 8/9*x**2 - 2/9*x**4 + 0 = 0.
0, 1, 4
Let d(g) be the first derivative of g**3/5 + 3*g**2/10 - 32. Determine f so that d(f) = 0.
-1, 0
Factor 0*u**3 + 25 + u**3 + 2*u - 25 + 3*u**2.
u*(u + 1)*(u + 2)
Let g be ((-4)/(-55))/(0 - (-2)/5). Determine s, given that -2/11*s**2 + 0 + g*s = 0.
0, 1
Let y(r) be the second derivative of -7*r**6/240 - r**5/10 - 11*r**4/96 - r**3/24 - 7*r. Determine d, given that y(d) = 0.
-1, -2/7, 0
Let s(v) = 5*v**5 - 21*v**4 - 21*v**3 + 9*v**2 - 6*v + 1. Let a(p) = p**5 - 4*p**4 - 4*p**3 + 2*p**2 - p. Let u(d) = 11*a(d) - 2*s(d). Factor u(o).
(o - 2)*(o - 1)**2*(o + 1)**2
Let b = -46 - -52. Let n(d) be the second derivative of -2*d + 3/80*d**5 - 1/40*d**b + 1/168*d**7 - 1/48*d**4 + 0 + 0*d**2 + 0*d**3. Find c such that n(c) = 0.
0, 1
Suppose 0 = -40*q + 37*q + 6. Solve 1/2*j**q + 0 + j = 0.
-2, 0
Suppose -54 + 20*y - 5*y**2 + 54 = 0. What is y?
0, 4
Let l(j) be the first derivative of -1/6*j**6 + 2 + 0*j**4 + 0*j**2 + 0*j + 0*j**3 + 1/5*j**5. Factor l(k).
-k**4*(k - 1)
Let h be (-1298)/(-198) + -4 + -1. Factor -h*c - 4/9 - 10/9*c**3 - 2*c**2 - 2/9*c**4.
-2*(c + 1)**3*(c + 2)/9
Let n(z) = z**4 - z**3 - z. Let i(m) = 5*m**4 - m**3 - 4*m**2 - 3*m. Let d(l) = -2*i(l) + 6*n(l). Solve d(q) = 0.
-2, 0, 1
Let a(w) = 3*w**4 - 7*w**3 + w**2 - 4*w + 7. Let q(u) = -u**4 + 2*u**3 + u - 2. Let c(j) = -6*a(j) - 22*q(j). Factor c(k).
2*(k - 1)**2*(k + 1)*(2*k + 1)
Let h(c) = 0 - 2*c**2 + 3*c**4 - 3 - 9*c - 8*c**3 + 13*c. Let g(a) = 12*a**4 - 33*a**3 - 9*a**2 + 15*a - 12. Let y(v) = 2*g(v) - 9*h(v). Factor y(l).
-3*(l - 1)**3*(l + 1)
Suppose 3*v = v - 2*d - 6, -3*d - 23 = -4*v. Suppose 0*f + 0 - 1/5*f**v - 3/5*f**3 - 3/5*f**4 - 1/5*f**5 = 0. Calculate f.
-1, 0
Let q(d) be the first derivative of -d**5/300 - d**4/60 - d**3/30 + d**2 + 2. Let r(c) be the second derivative of q(c). Find u such that r(u) = 0.
-1
Let s be -1 - (-1 + -1 + 1). Suppose 4*q - 72 = 4*i, q + 0*i - 3*i - 22 = s. Let -7*h**5 - q*h**4 + h**5 + h**2 - 14*h**3 - 5*h**2 = 0. What is h?
-1, -2/3, 0
Let c(y) be the third derivative of 0*y**3 + 1/120*y**5 + 0*y**4 - 1/480*y**6 + 2*y**2 + 0*y - 1/840*y**7 + 0. Determine u, given that c(u) = 0.
-2, 0, 1
Let t be (-1)/((-3)/(2 - -1)). Factor 11*r**3 + t + 12*r - 18*r**2 - 3*r**3 - 3.
2*(r - 1)**2*(4*r - 1)
Let a(x) be the second derivative of 0 - 2*x + 2/5*x**2 + 8/15*x**4 - 11/15*x**3 - 7/50*x**5. Factor a(v).
-2*(v - 1)**2*(7*v - 2)/5
Let q(l) be the third derivative of l**6/180 - l**5/90 - l**4/18 + 3*l**2. Solve q(d) = 0 for d.
-1, 0, 2
Let u(h) = 4*h**3 - 39*h**2 + 108*h - 108. Let y(q) = -44*q**3 + 428*q**2 - 1188*q + 1188. Let l(p) = -32*u(p) - 3*y(p). Solve l(g) = 0.
3
Factor -1/5*y**3 + 0 - 4/5*y - 4/5*y**2.
-y*(y + 2)**2/5
Let l(s) = -6*s + 24. Let m be l(4). Let u(c) be the second derivative of -1/10*c**3 + 1/5*c**2 + m + 2*c + 1/60*c**4. Let u(j) = 0. Calculate j.
1, 2
Find k, given that 4/5 + 2/5*k - 6/5*k**2 = 0.
-2/3, 1
Let u(c) be the first derivative of 3*c**4/8 - 3*c**3/2 + 6*c + 21. Find b, given that u(b) = 0.
-1, 2
Let b(s) be the second derivative of s**4/36 - s**3/18 - 10*s. Determine h so that b(h) = 0.
0, 1
Suppose 3*k = k - 2*a, 5*a = -3*k. Let i(x) be the third derivative of k*x**3 + 1/15*x**6 + 0*x - 2*x**2 + 0 + 1/10*x**5 - 1/12*x**4. What is t in i(t) = 0?
-1, 0, 1/4
Let h(k) be the third derivative of 1/240*k**6 + 0*k**4 + 0 - 2*k**2 + 1/840*k**7 + 0*k + 0*k**3 + 1/240*k**5. Factor h(z).
z**2*(z + 1)**2/4
Let l(u) be the third derivative of u**6/30 - 3*u**5/5 + 9*u**4/2 - 18*u**3 + u**2. Factor l(r).
4*(r - 3)**3
Let r be -1*(0 + -3) - -2. Suppose 0 = -r*p + 6 + 4. Let 4/3*t + 2/3*t**3 + 0 + 10/3*t**4 - 10/3*t**p - 2*t**5 = 0. What is t?
-1, 0, 2/3, 1
Let b = 0 - -2. Let q(i) = -29*i**3 + 21*i**2 + 39*i + 25. Let v(n) = 7*n**3 - 5*n**2 - 10*n - 6. Let y(o) = b*q(o) + 9*v(o). Let y(w) = 0. What is w?
-1, -2/5, 2
Let i = 1/5 - -1/5. Let x(d) be the second derivative of -4/15*d**3 - 1/100*d**5 + 2*d + 0 + i*d**2 + 1/12*d**4. Factor x(b).
-(b - 2)**2*(b - 1)/5
Let s be 17/7 + (18/14)/(-3). Find i such that 2/9*i + 0 - 2/9*i**s = 0.
0, 1
Let f(d) be the third derivative of -1/135*d**5 - 1/27*d**3 - 1/1512*d**8 + 1/315*d**7 - 2*d**2 + 0 - 1/270*d**6 + 0*d + 1/36*d**4. Factor f(x).
-2*(x - 1)**4*(x + 1)/9
Let k be (-2)/(-7) - (-38)/14. Suppose 2*h + 11 = k*q, -3*q = 4*h + 2*q - 33. Factor -2*j + 2*j**2 + j**h + 4*j + j**3.
j*(j + 1)*(j + 2)
Suppose 5*o = 2*n + 3*o - 18, 5*n + 5*o = 55. Let v = 14 - n. Determine u, given that -4 + v*u**2 + 3 - 3*u**2 = 0.
-1, 1
Let n(t) be the first derivative of 1/16*t**4 + 0*t**2 + 0*t + 3 + 0*t**3. Determine l so that n(l) = 0.
0
Suppose 0 = 4*m - 2*d - 22, 3*m - 2*d = -7*d - 16. Suppose m*b = 6*b. Let b*h**2 + 0 - 1/2*h + 1/2*h**3 = 0. What is h?
-1, 0, 1
Let q(x) be the third derivative of -1/150*x**5 + 0*x + 0 + 2*x**2 + 1/15*x**3 + 0*x**4. Suppose q(w) = 0. Calculate w.
-1, 1
Let a be (-6)/4 + (-299)/(-138). Let 0*k + 2/3*k**2 - a = 0. Calculate k.
-1, 1
Let r be 1/(-3) + 13/3. Let 9*g + 3*g + 12 - 6*g**2 - 3*g**2 + 3*g**r - 6*g**3 + 0*g**2 = 0. What is g?
-1, 2
Let r = -57/55 + 18/11. Solve -6/5*d - r*d**2 - 3/5 = 0 for d.
-1
Let k(p) be the third derivative of p**5/20 + 5*p**4/8 + 2*p**3 - 6*p**2. Suppose k(o) = 0. Calculate o.
-4, -1
Let g(y) = y**2 - 1. Let p(n) = 3 + 0*n**2 - 1 + 0*n**2 - 4*n**2. Let j(r) = 2*g(r) + p(r). Factor j(m).
-2*m**2
Let y be (28/56)/((-15)/(-4)). Factor -y*a**2 - 2/15 - 4/15*a.
-2*(a + 1)**2/15
Let r(m) = -m**3 - m**2 - m. Suppose -4*n - 13 = 3, 4*w = -4*n - 16. Let h be r(w). Factor -1/3*i + h + 1/3*i**2.
i*(i - 1)/3
Let b(n) = -4*n**3 - 8*n**2 - 4*n - 6. Let w(h) = -3*h**3 - 5 - 2*h + 4*h - 7*h**2 - 6*h. Let m(u) = -5*b(u) + 6*w(u). Factor m(t).
2*t*(t - 2)*(t + 1)
Let t be (13/26)/(2/28). Factor t + p**2 - 1 - 6 - 2*p.
p*(p - 2)
Let i be 0/(1/2*-2). Let l = 0 + i. Factor 0*z + 0 - 2/3*z**4 + l*z**2 - 2/3*z**3.
-2*z**3*(z + 1)/3
Let h(w) = -w**2 - 2*w + 3. Let x(s) = -s**2 - 2*s + 3. Let i(q) = 3*h(q) - 4*x(q). Suppose i(m) = 0. Calculate m.
-3, 1
Factor -9*p + 27/2*p**2 + 3/2.
3*(3*p - 1)**2/2
Suppose -3*a - 2*n + 10 = 0, 3*a + 11 = 5*n + 28. Suppose 0 - o**5 - 9/4*o**3 + 1/4*o - 1/4*o**2 - 11/4*o**a = 0. What is o?
-1, 0, 1/4
Let i be (-86)/110 + 1 - 52/(-286). Factor 0 - 4/5*p**2 + 0*p - i*p**3.
-2*p**2*(p + 2)/5
Suppose 3*t - 1 = -3*a + 2*a, 4*t - 2 = -a. Let o(l) be the first derivative of -3*l**2 + 2/3*l**3 + 4*l + t. Factor o(k).
2*(k - 2)*(k - 1)
Let o(g) be the second derivative of -g**8/2240 + g**6/80 + g**5/20 - g**4/12 - 2*g. Let f(z) be the third derivative of o(z). Find h, given that f(h) = 0.
-1, 2
Let c(j) be the third derivative of 0*j**4 + 0*j**3 + 0 + 3*j**2 + 0*j + 1/135*j**5 + 1/540*j**6. Find q, given that c(q) = 0.
-2, 0
Let h(c) = c**3 - 3*c**2 + 2*c + 2. Let n be h(2). Find y such that -81/2*y**5 + 77/2*y**3 + 0 + 2*y + 18*y**n - 18*y**4 = 0.
-1, -2/9, 0, 1
Let p(x) be the second derivative of 0*x**3 + 3/2*x**2 + 0 - 3*x - 1/90*x**5 - 1/36*x**4. L