*4/15 + r**3/6 + r**2. Let a(z) be the first derivative of h(z). Factor a(u).
2*(u - 2)**2/5
Factor -1 + 0*f**2 + 3/2*f - 1/2*f**3.
-(f - 1)**2*(f + 2)/2
Let p = -119 - -121. Let a = 891/7 - 127. Find u, given that a*u**p - 2/7*u + 0 = 0.
0, 1
Let j(g) be the second derivative of -1/60*g**6 + 0*g**2 - 3/40*g**5 - 1/8*g**4 + 0 + 3*g + 1/2*g**3. Let l(c) be the second derivative of j(c). Factor l(y).
-3*(y + 1)*(2*y + 1)
Let k = 2 - 7. Let u(q) = q. Let h(x) = -9*x**2 + 5*x + 4. Let i(g) = k*u(g) + h(g). Factor i(w).
-(3*w - 2)*(3*w + 2)
Let p be (0 - (6 + -2))/(-2). Let j(h) be the first derivative of h**4 - 2/3*h**3 - h**p - 2 + 0*h. Find q such that j(q) = 0.
-1/2, 0, 1
Let y(d) be the first derivative of d**6/20 + d**5/5 + 7*d**4/24 + d**3/6 - 3*d + 3. Let v(f) be the first derivative of y(f). Determine j so that v(j) = 0.
-1, -2/3, 0
Let m(x) be the second derivative of -x**4/8 + 4*x**3/3 + 3*x**2 + 25*x. Factor m(c).
-(c - 6)*(3*c + 2)/2
Let p be (15/(-12))/((-4)/16). Let v be p/(-2)*(-4)/5. Suppose -x + 0 + 1/2*x**v = 0. What is x?
0, 2
Let o be 1/((-8)/80*-55). Factor -2/11*k**2 + o*k + 4/11.
-2*(k - 2)*(k + 1)/11
Suppose -9 + 25 = 4*b. Factor 0*g**3 - 8*g**4 + 6*g**2 - b*g**3 + g**5 - 4*g**5 + 2 + 7*g.
-(g - 1)*(g + 1)**3*(3*g + 2)
Let v(j) = -12*j - 33. Let h be v(-3). Let 0*z + 0 - 1/2*z**2 - 7/4*z**h + 1/2*z**4 + 7/4*z**5 = 0. Calculate z.
-1, -2/7, 0, 1
Let r(w) be the first derivative of -1/5*w**2 + 0*w - 4/15*w**3 - 1/10*w**4 - 1. Factor r(d).
-2*d*(d + 1)**2/5
Let o(f) be the first derivative of -f**4/8 + 4*f + 3. Let b(u) be the first derivative of o(u). Let b(k) = 0. Calculate k.
0
Suppose 2*a - 4 = -3*o + 16, -a = 4*o - 20. Factor 7 - o*m**2 - 13 + 10.
-4*(m - 1)*(m + 1)
Factor 0*h**3 + 0*h - 4/7*h**2 + 2/7 + 2/7*h**4.
2*(h - 1)**2*(h + 1)**2/7
Let s(f) be the third derivative of -1/270*f**5 + 5*f**2 + 0*f + 1/108*f**4 + 0 + 0*f**3. Factor s(k).
-2*k*(k - 1)/9
Let d(l) be the third derivative of l**7/315 + l**6/180 - 6*l**2. Factor d(t).
2*t**3*(t + 1)/3
Let p(x) be the second derivative of -x**4/28 + x**3/7 + 9*x**2/14 - 6*x. Suppose p(f) = 0. What is f?
-1, 3
Let c(a) = 12*a**2 - 24*a - 53. Let y(u) = -2*u**2 + 4*u + 9. Let v(s) = -6*c(s) - 34*y(s). Let v(n) = 0. What is n?
-1, 3
Factor -2 + 4 - 2*x + x**2 + 5 - 10.
(x - 3)*(x + 1)
Factor -1/2*d + 1/2*d**3 - 1 - 1/2*d**4 + 3/2*d**2.
-(d - 2)*(d - 1)*(d + 1)**2/2
Let q be ((-414)/(-552))/(2/((-32)/(-6))). Find a, given that -a - 1/2*a**q + 2 + 1/4*a**3 = 0.
-2, 2
Let m be 5 - (1 - (-3 + 4)*-2). Let o(i) be the second derivative of -4/105*i**6 + 0*i**4 + 0*i**3 + 0 + 0*i**m - 1/70*i**5 + 2*i. What is j in o(j) = 0?
-1/4, 0
Suppose -m - 6 = -4*m. Solve 0 - 1/3*c - 1/3*c**m = 0 for c.
-1, 0
Let u(j) be the third derivative of 4*j**2 - 11/180*j**5 + 0 - 1/252*j**8 + 1/36*j**4 + 0*j**3 + 0*j + 1/30*j**6 + 1/630*j**7. Find k such that u(k) = 0.
-2, 0, 1/4, 1
Factor -10*u + 1/2*u**5 + 4*u**4 - 2*u**2 + 15/2*u**3 + 0.
u*(u - 1)*(u + 2)**2*(u + 5)/2
Let p(i) = i**2 - i. Let j(l) = 3*l**3 + 2*l**2 - 7*l + 2. Let s(m) = -3*j(m) + 12*p(m). Factor s(g).
-3*(g - 1)*(g + 1)*(3*g - 2)
Let p(z) = z**5 - z**4 - z**3 + z. Let u(r) = -3*r**5 + 15*r**4 - 12*r**3 - 4*r**2 + 4*r. Let v(m) = 4*p(m) - u(m). Find h such that v(h) = 0.
-2/7, 0, 1, 2
Let v(g) = 7*g**3 - 3*g**2 - 2*g - 2. Let d be v(3). Let m = d + -458/3. Suppose -2/3*i + 4/3*i**2 - m*i**4 + 2/3*i**5 + 0*i**3 + 0 = 0. What is i?
-1, 0, 1
Let r(t) be the first derivative of 2*t**3/21 - 2*t**2/7 - 6*t/7 - 7. Determine l so that r(l) = 0.
-1, 3
Let y be ((3 - 3)/4)/2. Let w(o) be the second derivative of -1/12*o**4 + o + 1/6*o**3 + 0*o**2 + 1/30*o**6 + y - 1/20*o**5. Factor w(z).
z*(z - 1)**2*(z + 1)
Let p(k) be the third derivative of k**5/120 - k**4/48 - k**3/6 + 8*k**2. Factor p(n).
(n - 2)*(n + 1)/2
Let k be 61/9 - 2/(-9). Let j = k - 4. Determine d, given that 2*d**2 + 0*d**2 - j*d**2 + d**4 = 0.
-1, 0, 1
Let i be (-1)/(-5)*-1*55/(-22). Factor 1/2*r**2 - 1/2*r + 1/2*r**3 - i.
(r - 1)*(r + 1)**2/2
Let f(b) = -b - 1. Let m be f(-7). Suppose 0 = 3*s - c - 9, -s = -4*c - 8 - m. Factor -s*n**4 - 2*n**2 + 3*n**3 + 1/2*n**5 + 0 + 1/2*n.
n*(n - 1)**4/2
Let a be (-36)/(-16) + 6/(-24). Let n be a/(24/(-9) + 4). Determine m so that n*m**2 - 3/2 - 3/2*m + 3/2*m**3 = 0.
-1, 1
Let c be 187/11 + 1*-1. Suppose k + 3*k = c. What is t in -5/2*t**2 + 0 - k*t**3 - 2*t**4 - 1/2*t = 0?
-1, -1/2, 0
Let j(u) be the second derivative of u**4/78 - u**3/13 - 4*u**2/13 - 7*u + 2. Let j(d) = 0. What is d?
-1, 4
Factor 4/3*x**2 + 10/3*x - 10/3*x**3 - 4/3.
-2*(x - 1)*(x + 1)*(5*x - 2)/3
Find f, given that -8/5*f + 32/5 - 4/5*f**2 = 0.
-4, 2
Let t be (4/(-12))/(2/(-12)). Suppose -5*l + 21 = -2*w, 3*w - 8 + 22 = 4*l. Determine s so that -6 + 4 + 5*s**2 - t*s - 3*s**w + 2*s**3 = 0.
-1, 1
Suppose 3 = 4*l - 1. Let k(x) = -x**3 - 4*x**2 - x - 1. Let f be k(-4). Factor 5*b**4 - 22*b + 5*b**4 + l + 3 - 34*b**f + 42*b**2.
2*(b - 1)**3*(5*b - 2)
Let v be -5*(12/15 - 2). Let k be (3/9)/(v/9). Determine z so that k + 7/4*z**2 - 9/4*z = 0.
2/7, 1
Let t = 0 - -4. Let l = t - 2. Determine q so that 1/3*q**l + 2/3*q + 1/3 = 0.
-1
Suppose 2*c - 7*q + 1890 = -2*q, 4756 = -5*c - 3*q. Let p be c/(-15) - (1 - 1). Factor -278/3*l**3 - 8/3 - p*l**4 - 194/3*l**2 - 64/3*l - 50/3*l**5.
-2*(l + 1)**3*(5*l + 2)**2/3
Let j(z) be the second derivative of -z**7/77 + z**6/55 + 3*z**5/55 - z**4/11 - z**3/11 + 3*z**2/11 + 14*z. Find t such that j(t) = 0.
-1, 1
Let k(u) = 3*u**2 + 213*u + 1347. Let v(z) = 20*z**2 + 1384*z + 8756. Let x(m) = -32*k(m) + 5*v(m). What is t in x(t) = 0?
-13
Let d = 655 - 47155/72. Let b(s) be the second derivative of 1/36*s**3 - 1/6*s**2 + 1/60*s**5 - 2*s + d*s**4 + 0. Let b(v) = 0. What is v?
-2, -1, 1/2
Let k(b) be the second derivative of 1/12*b**4 + 0*b**2 - 1/60*b**5 + b + 0 - 1/90*b**6 - 1/6*b**3. Let o(i) be the second derivative of k(i). Factor o(c).
-2*(c + 1)*(2*c - 1)
Let m(u) be the third derivative of -u**10/151200 - u**9/30240 + u**7/2520 + u**6/720 - u**5/12 + 8*u**2. Let s(p) be the third derivative of m(p). Factor s(v).
-(v - 1)*(v + 1)**3
Let v(l) be the first derivative of l**4/4 + l**3 - 4*l + 3. Factor v(h).
(h - 1)*(h + 2)**2
Let u be -4 + -1 + 9 - 4. Factor -2/7*n**2 + u*n + 0.
-2*n**2/7
Find o such that 0*o + 1/4*o**3 + 3/4*o**2 + 0 = 0.
-3, 0
Let n(a) be the second derivative of a**6/45 - a**5/30 - a**4/6 + 5*a**3/9 - 2*a**2/3 + 8*a. Determine r so that n(r) = 0.
-2, 1
Let o(y) = y**4 - y**3 - y**2 - y. Let c(h) = -12*h**5 - 12*h**4 - 24*h**3 - 16*h**2 - 16*h. Let k(b) = c(b) - 16*o(b). Factor k(d).
-4*d**3*(d + 2)*(3*d + 1)
Suppose 4*y = 4 + 20. Let g be (-6)/6 + 5 + -2. Factor -3*w**2 + w**3 - 2*w**2 + y*w**g.
w**2*(w + 1)
Let x(a) be the first derivative of -a**3/21 + 4*a**2/7 - 16*a/7 + 11. Factor x(o).
-(o - 4)**2/7
Let y = 2441/4 + -610. Factor 0*d**2 + 0 + y*d - 1/4*d**3.
-d*(d - 1)*(d + 1)/4
Let m(l) = -l**5 + 20*l**4 + 23*l**3 + 17*l**2 - 5*l + 5. Let v(w) = -2*w**5 + 20*w**4 + 22*w**3 + 18*w**2 - 6*w + 6. Let a(x) = 6*m(x) - 5*v(x). Factor a(f).
4*f**2*(f + 1)**2*(f + 3)
Let w be 7233/(-1155) + (-12)/28. Let c = 78/11 + w. Solve -2/5 - c*f**2 + 4/5*f = 0 for f.
1
Suppose -2*n - 52 = 36. Let f = n + 47. Solve -f + 6*z + 15/4*z**2 = 0 for z.
-2, 2/5
Let l be (-3)/12 - (-2)/8. Suppose -3*o + 7 + 5 = 0. Factor 0*a**2 + 1/3*a**5 + 1/3*a**3 + 0*a + 2/3*a**o + l.
a**3*(a + 1)**2/3
Let d be (10 - 4)/12*8. Find a such that -2/7*a**d - 2/7*a + 0 - 6/7*a**2 - 6/7*a**3 = 0.
-1, 0
Find s, given that -3/2*s + 3/4*s**3 - 3/4*s**2 + 0 = 0.
-1, 0, 2
Let k(h) = 4*h**5 - h**4 - 23*h**3 + 4*h**2 + 32*h + 19. Let s(o) = -12*o**5 + 4*o**4 + 68*o**3 - 12*o**2 - 96*o - 56. Let r(c) = -8*k(c) - 3*s(c). Factor r(z).
4*(z - 2)**2*(z + 1)**3
Let t(m) be the third derivative of -m**8/1848 - 2*m**7/1155 + m**6/330 + 4*m**5/165 + 7*m**4/132 + 2*m**3/33 - 6*m**2. Factor t(v).
-2*(v - 2)*(v + 1)**4/11
Let u = -18 + 21. Factor u*o**2 - o - 6*o**2 - 2*o.
-3*o*(o + 1)
Let j(h) be the third derivative of -1/30*h**6 + 1/6*h**4 + 0 + 0*h**5 + 0*h - 1/3*h**3 - 2*h**2 + 1/105*h**7. Solve j(q) = 0.
-1, 1
Find k, given that -3/10*k**2 - 9/10*k**5 - 5/2*k**4 - 21/10*k**3 + 0 + 1/5*k = 0.
-1, 0, 2/9
Let z(h) be the first derivative of -h**4/2 - 10*h**3/3 - 3*h**2 + 18*h - 3. 