et c be 0/(-2) - -1 - -2. Suppose 5*l - 13 + c = 0. Determine q, given that -4*q**3 + q**2 - 3*q**l + 2*q**3 = 0.
-1, 0
Suppose -4*q = -4*b + 12, -6 = 5*q - 3*b + 3. Factor q*g**3 + 10*g - 2 + 2*g**4 - 2 - 6*g**2 + 0 - 2*g**3.
2*(g - 1)**3*(g + 2)
Let b(a) be the second derivative of -1/8*a**4 - 3/4*a**2 + 0 + 1/2*a**3 + 3*a. Let b(z) = 0. Calculate z.
1
Let l(k) be the second derivative of k**6/15 + 3*k**5/5 + 2*k**4 + 10*k**3/3 + 3*k**2 - 2*k. Factor l(u).
2*(u + 1)**3*(u + 3)
Suppose 0 = -169*t + 166*t. Let q(r) be the third derivative of 3/20*r**5 - 1/8*r**4 + 0 + 1/70*r**7 + 0*r**3 - 3/40*r**6 + r**2 + t*r. Factor q(m).
3*m*(m - 1)**3
Let w(v) = 3*v + 27. Let n be w(-8). Let i(p) be the second derivative of 1/9*p**n - 1/9*p**4 + 0*p**2 - p + 0 + 1/30*p**5. Factor i(g).
2*g*(g - 1)**2/3
Suppose -3*y - 4 = -5*y. Suppose 4*q = 3*q + y. Suppose -2/7*d + 2/7*d**3 + 2/7 - 2/7*d**q = 0. Calculate d.
-1, 1
Factor -4/11 - 5/11*j**2 - 1/11*j**3 - 8/11*j.
-(j + 1)*(j + 2)**2/11
Let n(t) be the third derivative of t**8/2688 - t**7/1680 - t**6/480 + t**5/240 + t**4/192 - t**3/48 + 5*t**2. Factor n(g).
(g - 1)**3*(g + 1)**2/8
Factor -2/7*a**2 - 2/7*a + 2/7*a**3 + 2/7.
2*(a - 1)**2*(a + 1)/7
Suppose 4*h + 6 = -0*a + 2*a, 0 = -4*a + 4*h + 12. Suppose i = -a*i. Solve -2/5*w - 2/5*w**2 + 2/5*w**3 + 2/5*w**4 + i = 0.
-1, 0, 1
Let u(k) = -6*k**2 + 11*k + 11. Let f(t) = 5*t**2 - 10*t - 10. Let o(n) = 7*f(n) + 6*u(n). Determine j so that o(j) = 0.
-2
Let y(i) = 10*i**2 - 3. Let l(f) = 7*f**2 - 2. Let h be 4*(1 - (-27)/(-12)). Let c(m) = h*y(m) + 7*l(m). Factor c(z).
-(z - 1)*(z + 1)
Let h(u) = -4*u**2 - 5*u - 1. Let f(s) = -3*s**2 - 4*s - 1. Let o(c) = -6*f(c) + 4*h(c). Suppose o(j) = 0. Calculate j.
-1
Let l(v) = -9*v**4 + 7*v**2 + 7*v - 7. Let d = 17 - 11. Let g(o) = -8*o**4 + 6*o**2 + 6*o - 6. Let j(w) = d*l(w) - 7*g(w). Let j(r) = 0. Calculate r.
0
Let k(f) be the third derivative of 1/15*f**5 + 4*f**2 + 0*f - 2/9*f**3 - 7/180*f**6 + 0 + 1/36*f**4 + 2/315*f**7. What is a in k(a) = 0?
-1/2, 1, 2
What is s in 5*s**5 - 1217 + 1217 + 5*s**2 - 5*s**4 - 5*s**3 = 0?
-1, 0, 1
Let l(z) be the third derivative of z**8/672 + z**7/140 + z**6/80 + z**5/120 - 2*z**2. Suppose l(m) = 0. What is m?
-1, 0
Find l such that -4*l**3 + 44*l**4 - 41*l**4 - 5*l**3 = 0.
0, 3
Let d = 21/2 - 10. Factor 1/2 + y + d*y**2.
(y + 1)**2/2
Let h be ((-5)/(-4))/((-1)/(-4)). Let s = 7 + -5. Suppose -3*o**4 - 3*o**5 - o**4 - s*o**3 + o**h = 0. Calculate o.
-1, 0
Let f(x) be the third derivative of -x**5/15 + 17*x**4/6 + 12*x**3 - 11*x**2 + 3*x. Factor f(r).
-4*(r - 18)*(r + 1)
Factor 7 - 2*i**2 - 1173*i - 19 + 1183*i.
-2*(i - 3)*(i - 2)
Factor -1/2*t**3 - 3/2*t - 5/2*t**2 + 9/2.
-(t - 1)*(t + 3)**2/2
Let y(f) be the third derivative of -f**8/6720 - f**7/1680 - f**6/1440 + f**3/6 + f**2. Let i(z) be the first derivative of y(z). Find m such that i(m) = 0.
-1, 0
Let b(q) = 4*q**2 + 3*q + 2. Let r be b(-1). Let i(p) be the third derivative of -1/120*p**6 - p**2 + 0 + 0*p + 1/6*p**r - 1/60*p**5 + 1/24*p**4. Factor i(l).
-(l - 1)*(l + 1)**2
Let o(z) be the first derivative of 3*z**4/4 - 3*z**2/2 - 8. What is q in o(q) = 0?
-1, 0, 1
Let j = 7 - 7. Suppose j*z + 25 = 5*z. Factor 8/5*i**2 + 0*i + 42/5*i**4 + 32/5*i**3 + 0 + 18/5*i**z.
2*i**2*(i + 1)*(3*i + 2)**2/5
Let w(u) be the third derivative of 0*u - 1/18*u**3 + 0 - 1/630*u**7 + 1/90*u**5 + 0*u**4 + 0*u**6 - 2*u**2. Factor w(b).
-(b - 1)**2*(b + 1)**2/3
Suppose 5 = 11*l - 28. Factor -6*x + 4 + 3*x**2 - 1/2*x**l.
-(x - 2)**3/2
Let p(i) be the third derivative of 0*i + 5*i**2 + 0 + 1/24*i**5 + 0*i**3 + 1/24*i**4. Factor p(o).
o*(5*o + 2)/2
Let n(i) = i - 16. Let l be n(16). Let b(v) be the first derivative of -2 + 0*v**2 - 1/6*v**6 + 1/4*v**4 + 1/5*v**5 - 1/3*v**3 + l*v. Factor b(a).
-a**2*(a - 1)**2*(a + 1)
Factor 3*x + 45*x**2 - 23*x - 16*x**2 - 25*x**2 + 16.
4*(x - 4)*(x - 1)
Let o(a) be the first derivative of -a**5/20 - a**4/12 + a**3/6 + a**2/2 - 5*a + 1. Let b(q) be the first derivative of o(q). Factor b(n).
-(n - 1)*(n + 1)**2
Let w(c) be the third derivative of -3*c**2 - 1/60*c**4 + 0*c - 1/300*c**5 + 0 + 0*c**3. Factor w(k).
-k*(k + 2)/5
Suppose 5*g = 2*q + 2*g + 15, g - 5 = -5*q. Factor 7 + q - 7 - 2*b**3 + 2*b.
-2*b*(b - 1)*(b + 1)
Suppose -647*d = -642*d - 15. Find z, given that d - 3/2*z**2 + 3/2*z = 0.
-1, 2
Let n be ((-128)/(-40))/(14/5). Determine d so that 18/7*d**5 + 40/7*d**4 + n*d**3 - 4/7 - 26/7*d - 36/7*d**2 = 0.
-1, -2/9, 1
Suppose -10 - 8 = -4*b + 2*y, -2*b = -2*y - 14. Let i(r) = 2*r - 4. Let h be i(4). Factor u**b - 3*u**3 + 3*u**4 - 2*u**h + 5*u**3.
u**2*(u + 1)**2
Let h(o) be the first derivative of -4*o**3/3 + 4*o**2 + 12*o - 3. Solve h(m) = 0 for m.
-1, 3
Factor 0*y**2 - 1/4*y + 0*y**4 - 1/4*y**5 + 1/2*y**3 + 0.
-y*(y - 1)**2*(y + 1)**2/4
Let d(u) be the third derivative of -u**6/15 - u**5/5 - u**4/24 + u**3/6 - 2*u**2. Let m(o) = -o**2. Let x(h) = -2*d(h) + 4*m(h). Solve x(y) = 0.
-1, -1/2, 1/4
Suppose -3*q - 60 + 16 = -4*n, -2*q = 3*n - 16. Let r(a) = a**2 - 8*a + 3. Let c be r(n). Factor 6*v + 0*v**4 + v**c - 2 + v**4 - 3*v**2 - 11*v.
(v - 2)*(v + 1)**3
Suppose -r + 5*a + 5 = 0, -5*r - 5 = -0*r + 5*a. Let 0*d**2 + r + 0*d**3 - 1/3*d**4 + 1/3*d**5 + 0*d = 0. Calculate d.
0, 1
Let l(g) be the second derivative of -g**6/1260 + g**5/105 - g**4/21 + g**3/3 - 3*g. Let d(n) be the second derivative of l(n). Factor d(s).
-2*(s - 2)**2/7
Let v(f) be the first derivative of -f**7/210 - f**6/150 + f**5/100 + f**4/60 - f + 2. Let w(y) be the first derivative of v(y). Factor w(p).
-p**2*(p - 1)*(p + 1)**2/5
Let b(o) be the first derivative of -o**8/112 - o**7/35 + o**5/10 + o**4/8 + o**2 - 9. Let l(v) be the second derivative of b(v). Suppose l(x) = 0. What is x?
-1, 0, 1
Let j(p) be the first derivative of 2*p**5/5 - 2*p**4 + 10*p**3/3 - 2*p**2 - 6. Determine m, given that j(m) = 0.
0, 1, 2
Let h(m) = 13 - 4*m - 1 + 5*m**2 + 13*m - 6*m**2. Let z be h(10). Find n such that -8/3*n + 2/3*n**4 + 2/3 + 4*n**z - 8/3*n**3 = 0.
1
Let w(y) = y**3 - 8*y**2 + 6*y + 10. Let p be w(7). Let 0*i + 1/2*i**p - 1/2*i**2 + 0 + 1/2*i**4 - 1/2*i**5 = 0. What is i?
-1, 0, 1
Let b(k) be the first derivative of k**6/60 - k**4/4 - 2*k**3/3 + k**2/2 - 5. Let h(p) be the second derivative of b(p). Suppose h(y) = 0. What is y?
-1, 2
Let j = 2 - -2. Find f, given that 1/2*f**j + 0*f + 0 + 2/3*f**3 + 1/6*f**2 = 0.
-1, -1/3, 0
Let y(b) be the third derivative of b**6/540 + b**5/90 + b**3/2 - 3*b**2. Let k(c) be the first derivative of y(c). Solve k(t) = 0.
-2, 0
Let p(u) be the first derivative of u**6/2 - 3*u**4/2 + 3*u**2/2 - 5. Factor p(s).
3*s*(s - 1)**2*(s + 1)**2
Let v(j) be the second derivative of j**5/4 - 5*j**4/2 + 10*j**3 - 20*j**2 - 12*j. Determine y so that v(y) = 0.
2
Let k(p) = -3*p**2 + 21*p + 27. Let m be k(8). Determine a, given that -3/4*a + 0 + 3/4*a**2 + 3/4*a**m - 3/4*a**4 = 0.
-1, 0, 1
Factor -1/4*b + 1/4*b**2 - 3/2.
(b - 3)*(b + 2)/4
Let o be 4/1*2/56*2. Let h = 692/2471 - -2/353. Factor -h*q**3 + 2/7 - 2/7*q**2 + o*q.
-2*(q - 1)*(q + 1)**2/7
Let w(x) = x**3 + 6*x**2 + x + 10. Let p be w(-6). Factor -8/3*n**p + 0 - 4/3*n**2 + 2/3*n**5 + 10/3*n**3 + 0*n.
2*n**2*(n - 2)*(n - 1)**2/3
Let n(u) = -u**2. Let w(q) = -q**2 - 1. Let d(h) = -6*n(h) + 3*w(h). Suppose d(j) = 0. What is j?
-1, 1
Let p(z) = -z + 1. Let g be p(-1). Suppose 0*q**3 + 0*q**2 - 4*q**2 - 2*q**3 + g*q + 4 = 0. Calculate q.
-2, -1, 1
Let a(j) be the second derivative of j**8/1680 - j**6/180 + j**4/24 - 5*j**3/6 - 2*j. Let t(n) be the second derivative of a(n). Suppose t(y) = 0. What is y?
-1, 1
Let n = -18 - -21. Solve -8*g - 12*g**2 + 8*g**3 - 17*g**3 + 5*g**n = 0 for g.
-2, -1, 0
Suppose 5*k + 5 = -0*k. Let z(r) = r**3 + r**2 - r. Let x(n) = 8*n**3 - 6*n**2 + 2*n. Let p(j) = k*x(j) - 2*z(j). Suppose p(h) = 0. Calculate h.
0, 2/5
Let h(r) be the third derivative of -r**2 + 0*r - 1/66*r**4 + 1/33*r**3 - 1/1155*r**7 + 1/330*r**6 + 0*r**5 + 0. Find x, given that h(x) = 0.
-1, 1
Let m = -15 + 17. Factor 0 + 2/7*r**m + 4/7*r.
2*r*(r + 2)/7
Let a(f) be the first derivative of 79507*f**4/4 - 3698*f**3 + 258*f**2 - 8*f - 35. Factor a(i).
(43*i - 2)**3
Let v(y) = -50*y**2 + 35*y - 13. Let i(w) = 25*w**2 - 17*w + 7. Let f(z) = 5*i(z) + 3*v(z). Factor f(c).
-(5*c - 2)**2
Let 