**2 + 7*k - 7. Let g(w) = -4*l(w) - 7*x(w). Factor g(z).
2*z**2*(z - 1)*(z + 1)**2
Let r be 2 + -2 + 16/(-2). Let j be 1/(-3)*(-1 + r). Factor w + 3*w**3 + w - w**j - 4*w**2.
2*w*(w - 1)**2
Solve 23/3*t**2 - t**3 - 40/3*t - 16/3 = 0.
-1/3, 4
Let a(b) = -b**3 - b + 2. Let v be a(0). Factor -4*i**4 + i**2 + i**v - 5*i**2 + 7*i**4.
3*i**2*(i - 1)*(i + 1)
Find l such that -8 + 6 - 3 - 2*l**2 - 27 + 16*l = 0.
4
Let k(l) be the third derivative of -l**7/840 - l**6/480 + l**5/240 + l**4/96 + 3*l**2. Suppose k(q) = 0. Calculate q.
-1, 0, 1
Let r be (-12 + 10)*(-4)/24. Let y = -16/3 + 6. Suppose r*u**4 - 2/3*u**2 - 1/3*u + 1/3 + y*u**3 - 1/3*u**5 = 0. What is u?
-1, 1
Let o be 2/3 - ((-1085)/(-147) - 7). Factor -10/7*q**2 - 12/7*q - o.
-2*(q + 1)*(5*q + 1)/7
Let m(a) be the first derivative of 3*a**4/20 + 3*a**3/5 + 9*a**2/10 + 3*a/5 - 5. Factor m(x).
3*(x + 1)**3/5
Let m(q) be the third derivative of 1/6*q**3 + 0*q + 1/24*q**4 - 7*q**2 - 1/120*q**6 + 1/105*q**7 - 1/20*q**5 + 0. Find h such that m(h) = 0.
-1, -1/2, 1
Suppose -i + 9 = 2. Let w = -2 + 2. Determine a, given that i*a**3 + a**2 + w*a**2 + a**2 = 0.
-2/7, 0
Let f(r) = -r + 11. Let h be f(9). Determine j, given that 2*j**h - 11 + 5 - 20*j - 8*j**2 = 0.
-3, -1/3
Let d(l) be the third derivative of -l**6/60 - l**5/30 + 48*l**2. Factor d(b).
-2*b**2*(b + 1)
Let w(g) be the third derivative of 1/60*g**5 - 1/6*g**3 - 2*g**2 + 0 + 0*g**4 + 0*g. Suppose w(j) = 0. What is j?
-1, 1
Let t = 13225376/87 + -152018. Let q = 14/29 - t. Factor -q*u - 2/3*u**3 + 0 - 8/3*u**2.
-2*u*(u + 2)**2/3
Let g(d) = 7*d**4 + 14*d**3 - 10*d**2 - 4*d - 7. Let v(p) = 7*p**4 + 13*p**3 - 9*p**2 - 5*p - 6. Suppose 7 + 5 = 3*o. Let h(b) = o*g(b) - 5*v(b). Factor h(a).
-(a - 1)*(a + 1)**2*(7*a + 2)
Determine l, given that 208/7*l - 510/7*l**2 + 48/7*l**4 + 34*l**3 - 24/7 - 32/7*l**5 = 0.
-3, 1/4, 2
Let b(n) be the second derivative of -n**4/48 + n**3/6 - 3*n**2/8 + 3*n. Factor b(c).
-(c - 3)*(c - 1)/4
Find u such that -2*u**5 + 7*u**4 + 10*u**4 - 29*u**4 + 14*u**4 = 0.
0, 1
Let g be ((-1)/2)/(5/(220/(-4))). Factor 7/2*z**3 - 8*z**2 + g*z - 1.
(z - 1)**2*(7*z - 2)/2
Let l(b) be the first derivative of 4*b**2 - 6*b**3 + 2 - 8/9*b. Determine n so that l(n) = 0.
2/9
Let s(t) = 232*t**4 + 224*t**3 + 63*t**2 + 14*t + 8. Let f(r) = 77*r**4 + 75*r**3 + 21*r**2 + 5*r + 3. Let z(y) = -8*f(y) + 3*s(y). Factor z(x).
x*(4*x + 1)**2*(5*x + 2)
Let o(f) be the third derivative of f**5/40 - f**4/16 + 10*f**2. Let o(a) = 0. Calculate a.
0, 1
Let r be (-4)/26 - 4084/156. Let g = -26 - r. Let -g*a**4 - 1/3*a**3 + 0 + 0*a + 1/3*a**2 + 1/3*a**5 = 0. Calculate a.
-1, 0, 1
Let -2*m**2 + 8*m**5 - 35*m**4 + 23*m**4 + 6*m**2 = 0. Calculate m.
-1/2, 0, 1
Let u = -322585/589797 - 1/15123. Let v = 10/13 + u. Factor -2/9*p**3 + v*p**2 + 0 + 0*p.
-2*p**2*(p - 1)/9
Let f(p) = -p**5 - p**4 - p + 1. Let s(h) = 2*h**5 + 10*h**4 + 24*h**3 - 16*h**2 - 26*h - 6. Let u(o) = -6*f(o) - s(o). Factor u(y).
4*y*(y - 2)**2*(y + 1)*(y + 2)
Let 74/23*d**4 - 90/23*d**3 - 14/23*d**5 - 24/23 + 104/23*d - 50/23*d**2 = 0. Calculate d.
-1, 2/7, 1, 2, 3
Let n(s) be the first derivative of s**5/10 - 13*s**4/16 - 2*s**3/3 + 7*s**2/8 - 17. What is r in n(r) = 0?
-1, 0, 1/2, 7
Let q be (-1)/((70/(-7))/2). Factor 0 - q*h**2 + 0*h.
-h**2/5
Let a = 52 + -49. Let y(z) be the third derivative of -1/90*z**5 + 3*z**2 + 0 - 1/72*z**4 + 0*z + 0*z**a + 7/360*z**6 - 2/315*z**7. Factor y(w).
-w*(w - 1)**2*(4*w + 1)/3
Let k be (-12)/(-36) + 1/15. Let p = -5 - -8. Factor 2/5*m**5 - 4/5*m**p + 4/5*m**2 - 2/5 - k*m**4 + 2/5*m.
2*(m - 1)**3*(m + 1)**2/5
Let k be (13/52)/((-2)/(-4)*1). Let -1/3 + 0*q**2 + k*q - 1/6*q**3 = 0. What is q?
-2, 1
Let j(p) be the first derivative of 4*p**5/15 - 2*p**4/3 + 4*p**2/3 - 4*p/3 + 25. Factor j(c).
4*(c - 1)**3*(c + 1)/3
Suppose -c + 3*c - 4 = 0. Factor 2*j**3 + 3*j**2 + 3*j**c - 8*j**2.
2*j**2*(j - 1)
Let t(s) be the third derivative of -s**9/45360 + s**7/7560 + 5*s**4/24 + 6*s**2. Let y(z) be the second derivative of t(z). Let y(q) = 0. Calculate q.
-1, 0, 1
Let h(o) be the second derivative of 0*o**3 + 1/42*o**4 + 0*o**2 + 1/147*o**7 + o + 0 - 1/70*o**5 - 1/105*o**6. Factor h(k).
2*k**2*(k - 1)**2*(k + 1)/7
Let z = 329 + -1643/5. Find r, given that 0 + 2/5*r**2 - z*r = 0.
0, 1
Let k(i) be the third derivative of -i**6/360 - i**5/60 - i**4/24 - i**3/18 - 4*i**2. Factor k(s).
-(s + 1)**3/3
Let d(z) be the third derivative of -z**7/525 - z**6/300 + z**5/150 + z**4/60 - 3*z**2. Suppose d(u) = 0. Calculate u.
-1, 0, 1
Let s(u) be the third derivative of -1/112*u**8 + 0*u**4 - 1/60*u**5 + 0*u + 0 + 1/40*u**6 + u**2 + 0*u**3 + 1/210*u**7. Solve s(f) = 0.
-1, 0, 1/3, 1
Suppose -u - 18 = 4*k, 4*k + 0 = -20. Let j(y) be the second derivative of 0 - 2*y - y**u - 1/3*y**3 - 1/24*y**4. Let j(p) = 0. Calculate p.
-2
Let t = -673 - -675. Find o, given that 3/5*o**t + 0 - 3/5*o**3 + 0*o = 0.
0, 1
Let t be (0 + 1)/((-2)/(-6)). Let s = t - 1. Factor f**3 - f**4 + 2*f**5 + s*f**4 - f**2 - 3*f**5.
-f**2*(f - 1)**2*(f + 1)
Factor -28 - 13*m + 14 + 4*m**2 + 17.
(m - 3)*(4*m - 1)
Let g(i) be the second derivative of -i**7/8820 - i**4/12 + 2*i. Let f(x) be the third derivative of g(x). Solve f(h) = 0 for h.
0
Let a(k) = -3*k**3 - 48*k**2 - 2*k - 32. Let h be a(-16). Let h*d + 1/7*d**2 + 0 = 0. Calculate d.
0
Determine h, given that 8/19 + 2/19*h**2 + 8/19*h = 0.
-2
Let a be 14/6 + (-1)/3. Let t = -37 - -37. Factor 0*z + t*z**a + 0 - 1/2*z**5 + 0*z**3 + z**4.
-z**4*(z - 2)/2
Factor 2/15*b**2 + 0 + 4/15*b**3 + 2/15*b**4 + 0*b.
2*b**2*(b + 1)**2/15
Let a(f) be the third derivative of f**5/30 + f**4/4 + 2*f**3/3 + 10*f**2. What is r in a(r) = 0?
-2, -1
Find i, given that 3/5*i**3 - 3/5*i**5 + 0*i + 0 + 6/5*i**2 - 6/5*i**4 = 0.
-2, -1, 0, 1
Let n(u) = u**2 - 9*u - 7. Let x be n(10). Suppose 1 = 2*s - 5. Find h such that x*h**4 + 0*h**s - h**4 + h**3 + h**5 = 0.
-1, 0
Let r(b) = -b - 4. Let x be r(-8). Factor 0*n + 0*n**3 + 2/7*n**5 + 0*n**2 + 0 + 0*n**x.
2*n**5/7
Let q(s) = -21*s**5 - 42*s**4 + 3*s**3 + 42*s**2. Let d(k) = 6*k**5 + 12*k**4 - k**3 - 12*k**2. Let w(h) = 18*d(h) + 5*q(h). Determine a so that w(a) = 0.
-2, -1, 0, 1
Let f(q) = -q**3 + 4*q**2 - 3*q. Let p be f(2). Find n such that 0 + 1/5*n**p + 1/5*n**3 + 0*n = 0.
-1, 0
Let w = -80 - -84. Factor -8/5*b**2 + 12/5*b**3 + 2/5*b + 0 - 8/5*b**w + 2/5*b**5.
2*b*(b - 1)**4/5
Suppose -3*q + 2*g + 4 = -4*q, -5*q - g = -7. Factor 2*b**q - 5*b - 5*b + 6*b.
2*b*(b - 2)
Let f(d) be the second derivative of -d**5/80 + d**3/8 + d**2/4 + 2*d - 9. Determine i so that f(i) = 0.
-1, 2
Let c(n) be the third derivative of 1/15*n**7 - 2*n**2 + 1/30*n**6 + 1/6*n**4 + 0 + 1/3*n**3 - 4/15*n**5 + 0*n - 1/42*n**8. What is t in c(t) = 0?
-1, -1/4, 1
Let m(s) be the first derivative of s**4/16 - s**3/6 + s**2/8 + 1. Let m(i) = 0. What is i?
0, 1
Let y = -2/165 + 93/110. Let g(x) be the second derivative of -1/5*x**5 + x**2 + 0 + 2*x + 5/42*x**7 + 4/15*x**6 - y*x**4 - 1/6*x**3. Factor g(a).
(a - 1)*(a + 1)**3*(5*a - 2)
Suppose 0*q - 2/3*q**3 + 1/3*q**4 + 1/3*q**2 + 0 = 0. Calculate q.
0, 1
Determine h so that 79 - 15 + 14*h**2 + 16*h - h**2 - 12*h**2 = 0.
-8
Let o(y) be the third derivative of -y**9/120960 + y**8/13440 - y**7/5040 - y**5/15 + y**2. Let h(t) be the third derivative of o(t). Let h(l) = 0. Calculate l.
0, 1, 2
Let n(a) = 2*a. Let m be n(2). What is f in -16*f**2 + 7*f**4 - m*f**3 - 3*f**4 + 10*f**2 + 2*f**4 + 4*f = 0?
-1, 0, 2/3, 1
Let w(j) = j**2 + 13*j + 17. Let q be w(-12). Factor 9*c**4 + 6*c**4 - 17*c**q - 3*c**3 - c**5.
-3*c**3*(2*c - 1)*(3*c - 1)
Let t(z) be the third derivative of z**5/420 - z**4/84 - z**2. Factor t(i).
i*(i - 2)/7
Let v(m) be the third derivative of -m**6/20 - 3*m**5/20 + m**4 + 6*m**3 + 5*m**2 + 4*m. Let v(t) = 0. Calculate t.
-2, -3/2, 2
Suppose -52 = -4*i + 5*w, 2*i - w - 20 = -0*w. Suppose i = y - 2. Determine t so that -6*t - y*t + 8 + 0*t + 6*t**2 = 0.
2/3, 2
Let a(l) = l + 8 + 4*l - 4*l. Let p be a(-6). Solve 0 + 2/5*g**p + 0*g = 0 for g.
0
Let j(y) be the second derivative of -y**5/5 + 14*y**3/3 + 12*y**2 + 33*y. Factor j(n).
-4*(n - 3)*(n + 1)*(n + 2)
Let w be 0*(-3)/(-6)*-2. Let c(p) be the first derivative of 0*p**2 - 1/24*p**6 + 1 + 1/16*p**4 + 0*p**3 + w*p + 0*p**5. Suppose c(f) = 0. What is f?
-1, 0, 1