0*w - 90 = 5*w. Let c = w - -4. Let v(i) = c*k(i) + 2*p(i). Factor v(l).
2*l**3*(l - 1)**2
Determine w so that -12/7*w**2 - 16/7 - 2/7*w**3 - 24/7*w = 0.
-2
Let a(m) be the second derivative of -3*m + 0 + 0*m**2 - 9/20*m**5 + m**4 + 2*m**3 - 1/14*m**7 - 2/5*m**6. Let a(p) = 0. What is p?
-2, -1, 0, 1
Let u(k) be the second derivative of k**7/70 + 2*k**6/25 + 3*k**5/50 - k**4/5 - 3*k**3/10 - 7*k. Suppose u(m) = 0. Calculate m.
-3, -1, 0, 1
Suppose -4/13*b - 2/13*b**2 + 6/13 = 0. What is b?
-3, 1
Let x(c) be the third derivative of -c**6/540 + c**4/108 - 9*c**2. Factor x(k).
-2*k*(k - 1)*(k + 1)/9
Suppose -18*b = -16*b - 2. Let m(u) be the second derivative of -u**6/30 + u**4/12 + u**3/6 - u. Let g(x) = -2*x**3. Let c(s) = b*g(s) + 2*m(s). Factor c(q).
-2*q*(q - 1)*(q + 1)**2
Let g(r) be the third derivative of 5*r**5/12 + 5*r**4/6 + 2*r**3/3 + 4*r**2. Let g(t) = 0. Calculate t.
-2/5
Factor -2/3*y - 2/3 + 2/3*y**3 + 2/3*y**2.
2*(y - 1)*(y + 1)**2/3
Let b(q) be the first derivative of q**4/6 - 2*q**3/9 - q**2/3 + q - 1. Let d(u) be the first derivative of b(u). Factor d(r).
2*(r - 1)*(3*r + 1)/3
Suppose -4*w + 7*w + 5*q + 12 = 0, 0 = 3*q. Let c be w + (-2)/(-1) + 2. Suppose 1/2*h**4 - 3/2*h**3 + c - 1/2*h**2 + h + 1/2*h**5 = 0. Calculate h.
-2, -1, 0, 1
Let j(p) be the first derivative of p**6/6 + 3*p**5/5 + 3*p**4/4 + p**3/3 - 1. Determine r, given that j(r) = 0.
-1, 0
Let l(b) be the first derivative of -b**4/7 + 4*b**3/21 + 16. Determine u, given that l(u) = 0.
0, 1
Find g, given that -17*g**2 - 6 - 17*g**2 + 37*g**2 + 3*g = 0.
-2, 1
Suppose 0 = -5*a - 0*a. Let m(k) be the second derivative of 1/150*k**6 - 2*k + a + 0*k**2 + 1/50*k**5 - 1/15*k**3 - 1/60*k**4. Factor m(s).
s*(s - 1)*(s + 1)*(s + 2)/5
Let t(w) be the first derivative of -2*w**3/45 - 4*w**2/5 - 24*w/5 - 14. Let t(z) = 0. What is z?
-6
Let d be 8 + 651/(-56) + 4. Factor 1/8*w**3 + 1/4*w + 0 + d*w**2.
w*(w + 1)*(w + 2)/8
Let m = 2328 + -58212/25. Let g = 99/50 + m. Factor -3/4*l - 3/4*l**3 + 0 - g*l**2.
-3*l*(l + 1)**2/4
Let i be 3/4*(-10)/135*-16. Factor 0*k + 0 + i*k**2 - 32/9*k**3 + 10/3*k**4.
2*k**2*(3*k - 2)*(5*k - 2)/9
Let a(b) = b - 1. Let n be a(4). Suppose -w - h - 7 = -3*w, w - 4*h - 7 = 0. Factor -m**2 - 2*m**w - 2*m**3 + m**n.
-m**2*(3*m + 1)
Suppose -2*a**2 + 4*a**2 + 12*a - 7*a**3 - 5*a**3 - 3 + a**2 = 0. Calculate a.
-1, 1/4, 1
Suppose -5*u - 12 = -3*x, -3*x - 2*x + 3*u + 20 = 0. What is a in -10*a**3 + 5*a**x + 9*a**3 - 4*a**4 + 0*a**4 = 0?
0, 1
Let s(q) = 9*q**3 + 36*q**2 + 44*q. Suppose 0 = -v + 6*v + 40. Let j(u) = -6*u**3 - 24*u**2 - 29*u. Let f(b) = v*j(b) - 5*s(b). Factor f(o).
3*o*(o + 2)**2
Let d(s) be the first derivative of -4/3*s**2 - 8/3*s + 4 - 2/9*s**3. Suppose d(y) = 0. Calculate y.
-2
Let u(j) = -j**3 + j**2 - j + 5. Let h be u(0). Factor -2*s**4 - s**h - 3*s**5 + 2*s**5 + 4*s**5.
2*s**4*(s - 1)
Let p = 6 + -9. Let h be 2*11/(-10) - p. What is g in 2/5*g + 0*g**3 - 2/5*g**5 + h*g**4 + 0 - 4/5*g**2 = 0?
-1, 0, 1
Let a(h) be the third derivative of -5*h**8/112 - 4*h**7/35 + 19*h**6/40 - 3*h**5/10 - 16*h**2. Determine j, given that a(j) = 0.
-3, 0, 2/5, 1
Let n(i) be the second derivative of i**5/20 - i**4/12 - i. Factor n(v).
v**2*(v - 1)
Let g(u) be the second derivative of -9*u**6/5 - 21*u**5/40 + 263*u**4/72 + 28*u**3/9 + u**2 + 2*u + 1. Find y, given that g(y) = 0.
-3/4, -2/9, 1
Find d, given that 0 + 14/3*d**4 - 4/3*d**3 + 4/3*d - 14/3*d**2 = 0.
-1, 0, 2/7, 1
Let q(d) = 4*d**4 + 9*d**3 - 4*d**2 - 9*d + 5. Let k(z) = 2*z**4 + 4*z**3 - 2*z**2 - 4*z + 2. Let x(y) = -5*k(y) + 2*q(y). Let x(j) = 0. What is j?
-1, 0, 1
Factor 5/2*b**3 - 5/4*b**4 + 0 + 0*b + 0*b**2.
-5*b**3*(b - 2)/4
Solve -1/7*n**5 - 1/7 - 2/7*n**2 - 2/7*n**3 + 3/7*n + 3/7*n**4 = 0 for n.
-1, 1
Let t(d) be the second derivative of -2*d**5/15 - d**4/9 + 4*d**3/9 + 2*d**2/3 + d. Find h such that t(h) = 0.
-1, -1/2, 1
Let v(x) be the first derivative of -x**6/360 + x**5/120 - 2*x**3/3 + 2. Let c(d) be the third derivative of v(d). Factor c(q).
-q*(q - 1)
Let p(h) be the second derivative of 2/9*h**3 + 0 - 1/18*h**4 + 3*h - 1/3*h**2. Factor p(i).
-2*(i - 1)**2/3
Let p = -116 - -116. Factor -1/3*a + p - 1/6*a**2.
-a*(a + 2)/6
Let a(l) be the third derivative of -l**5/15 + 2*l**4/3 - 8*l**3/3 - 8*l**2. Factor a(n).
-4*(n - 2)**2
Let d = 11 - 15. Let b = -1 - d. Factor -1/4*r**b + 1/2 + 1/4*r - 3/4*r**2 + 1/4*r**4.
(r - 2)*(r - 1)*(r + 1)**2/4
Let l = 21/11 + -19/11. Factor l*c - 2/11*c**2 + 4/11.
-2*(c - 2)*(c + 1)/11
Suppose 3*k = -4*d + 35, -3*d + 1 + 4 = -2*k. Suppose -i = 2*m + 8, 8*i - 3*i - d = -m. Find u such that -u**5 - u**2 + u**2 + 3*u**3 + 2*u**i = 0.
-1, 0, 2
Let k(y) be the third derivative of y**8/96 - y**7/35 - y**6/60 - 33*y**2. Solve k(u) = 0 for u.
-2/7, 0, 2
Suppose 5*d + 10 = 7*d. Suppose d*a = 5*l - 0*a - 35, -2*l + 26 = -5*a. Find u, given that -3*u**l - 5/3*u - 16/3*u**2 + 2/3 = 0.
-1, 2/9
Solve 0*k - 4/5*k**4 - 2/5*k**2 + 0 + k**3 + 1/5*k**5 = 0.
0, 1, 2
Solve -5 + 8*c**3 - 18*c**4 - 4*c**2 + 22*c**4 + 5 - 8*c = 0.
-2, -1, 0, 1
Suppose -35*m + 16 = -31*m. Let l(b) be the second derivative of -1/40*b**5 - 1/24*b**m + 1/4*b**2 + 0 + 1/12*b**3 + 2*b. Factor l(w).
-(w - 1)*(w + 1)**2/2
Let a(o) be the third derivative of o**8/5880 - o**7/4410 + o**4/4 + 4*o**2. Let h(n) be the second derivative of a(n). Factor h(b).
4*b**2*(2*b - 1)/7
Let u(d) be the second derivative of 1/4*d**3 - 3/40*d**5 - 3/4*d**2 + 0 + 10*d + 1/8*d**4. Factor u(i).
-3*(i - 1)**2*(i + 1)/2
Suppose 8*n - 7*n = 2, -4*s + 4 = -2*n. Factor 2/13*w**s + 8/13 + 8/13*w.
2*(w + 2)**2/13
Let s = 92/155 - -1/155. Solve -9/5*y - 3/5*y**3 + 9/5*y**2 + s = 0.
1
Let u = -29 - -29. Let m(k) be the third derivative of u*k - 1/540*k**6 + 1/108*k**4 + 0 + 0*k**5 + 0*k**3 - 2*k**2. Find r such that m(r) = 0.
-1, 0, 1
Let t(n) be the third derivative of -n**6/60 - n**5/30 - 5*n**2. Factor t(u).
-2*u**2*(u + 1)
Let j(t) be the first derivative of t**5/80 + t**4/24 + t + 8. Let n(g) be the first derivative of j(g). Factor n(o).
o**2*(o + 2)/4
Let v(z) = z**3 + 11*z**2 + 4. Let o be v(-11). Suppose -q - q + 2*x = -8, -14 = -o*q + 3*x. Factor 0 + 0*g + 4/3*g**q - 2/3*g**3.
-2*g**2*(g - 2)/3
Factor 1/2*b**2 + 0 + 7/2*b.
b*(b + 7)/2
Let d(a) be the third derivative of -1/135*a**5 + a**2 + 0 + 1/108*a**4 + 0*a + 0*a**3. Factor d(j).
-2*j*(2*j - 1)/9
Let y(r) = 7*r**2 - 1. Let a(c) = -6*c**2 + c. Let n(j) = -6*a(j) - 5*y(j). Factor n(p).
(p - 5)*(p - 1)
Suppose -504 = 5*k + 106. Let p = 1100/9 + k. Factor 0*l**2 + 0*l + 0 + 2/9*l**3 + p*l**4.
2*l**3*(l + 1)/9
Let c(i) be the first derivative of -i + 1/3*i**2 - 1/10*i**5 + 1/3*i**3 - 1/18*i**4 - 1. Let g(h) be the first derivative of c(h). Factor g(x).
-2*(x - 1)*(x + 1)*(3*x + 1)/3
Let f(l) be the first derivative of 1/3*l**4 - 1/10*l**5 + 0*l**2 - 1 + 2*l - 1/3*l**3. Let r(s) be the first derivative of f(s). Solve r(z) = 0 for z.
0, 1
Let y(n) be the first derivative of 1/3*n**2 + 0*n + 1 - 2/9*n**3. Solve y(k) = 0 for k.
0, 1
Let d(o) be the third derivative of -o**8/672 - 12*o**2. Determine j, given that d(j) = 0.
0
Let s = -11 - -101/9. Determine z, given that -4/9 - s*z**3 + 2/9*z + 4/9*z**2 = 0.
-1, 1, 2
Factor -2/5*n**2 + 28/5*n - 98/5.
-2*(n - 7)**2/5
Suppose -4*h**5 - 3*h**5 + 4*h**2 - 4*h**4 + 2*h + 5*h**5 = 0. Calculate h.
-1, 0, 1
Let b(v) be the second derivative of 0*v**5 + 2*v + 0*v**3 + 1/150*v**6 + 0 + 0*v**4 + 0*v**2 - 1/210*v**7. Factor b(y).
-y**4*(y - 1)/5
Let c(l) be the first derivative of 0*l + 3/2*l**6 + 8*l**3 + 1 - 6*l**5 + 0*l**2 + 3*l**4. Factor c(t).
3*t**2*(t - 2)**2*(3*t + 2)
Let a(f) be the first derivative of -3*f**5/20 + 3*f**3/2 + 3*f**2 - 2*f + 2. Let g(u) be the first derivative of a(u). Solve g(c) = 0 for c.
-1, 2
Let x(k) be the second derivative of k**6/60 + k**5/15 - k**2/2 - 5*k. Let q(v) be the first derivative of x(v). Factor q(w).
2*w**2*(w + 2)
Let v(u) = 2*u**2 - u + 3. Let g be (2 + 0)/((-1)/2). Let p(l) = 3*l**2 - 2*l + 4. Let h(c) = g*v(c) + 3*p(c). Suppose h(q) = 0. Calculate q.
0, 2
Suppose 0 = -2*h - 2*h + 20. Factor 24*k**3 + k**5 - 6*k**5 + 16*k**2 + 0*k**h + 16*k**4 + 4*k + 9*k**5.
4*k*(k + 1)**4
Let p be (-2)/(-1) + 2 + -2 + 0. Suppose -4/3*y**p - 5/3*y - 2/3 - 1/3*y**3 = 0. Calculate y.
-2, -1
Factor -p - 1 - 1/4*p*