*u**2 + 2/3*u**5 + 0*u.
2*u**2*(u - 1)**2*(3*u - 2)/9
Let m(o) = 5*o**2 + o - 2. Let u(c) = 11*c**2 + 3*c - 5. Let i(s) = -9*m(s) + 4*u(s). Find r, given that i(r) = 0.
1, 2
Suppose 0 = 39*g - 20*g - 95. Factor 0*y + 2/7*y**2 - 2/7*y**4 + 2/7*y**g + 0 - 2/7*y**3.
2*y**2*(y - 1)**2*(y + 1)/7
Solve -19*h**4 + 22*h**4 - 21*h**3 - 12*h + 18*h**2 + 9*h**3 + 3 = 0 for h.
1
Let x be 1/4 + (-1)/4. Let n be x/((-4 + -8)/4). Factor -4/5*o**4 + 0*o**3 + 2/5*o - 2/5*o**5 + 4/5*o**2 + n.
-2*o*(o - 1)*(o + 1)**3/5
Let d(m) = 2916*m**4 - 1949*m**3 + 437*m**2 - 32*m + 5. Let s(y) = -14580*y**4 + 9744*y**3 - 2184*y**2 + 160*y - 24. Let u(b) = 24*d(b) + 5*s(b). Factor u(k).
-4*k*(9*k - 2)**3
Let g(m) = 7*m**3 - 6*m - 1. Let n(k) = 3*k**3 - 3*k. Let u(w) = -2*g(w) + 5*n(w). Factor u(l).
(l - 1)**2*(l + 2)
Let 0 + 0*u - 1/4*u**3 + 1/4*u**2 = 0. What is u?
0, 1
Let a(o) be the third derivative of -o**8/84 + 2*o**7/105 + o**6/15 - 2*o**5/15 - o**4/6 + 2*o**3/3 + 15*o**2. Factor a(l).
-4*(l - 1)**3*(l + 1)**2
Let g(o) be the third derivative of 1/30*o**5 + 0*o**4 + 0*o - o**2 + 0 - 1/3*o**3. Factor g(t).
2*(t - 1)*(t + 1)
Let q(d) be the second derivative of -1/8*d**2 - d + 1/48*d**4 + 0*d**3 + 0. Factor q(g).
(g - 1)*(g + 1)/4
Let h be 3*(-1 - 0)*1. Let u = 4 + h. Let 4*k**3 + 6*k**2 + 1 + k**4 + u + 4*k - 1 = 0. Calculate k.
-1
Let p(z) = 3*z**2 - 3*z - 8. Let a(v) = -v**2 + 2*v + 4. Let y(n) = -5*a(n) - 2*p(n). Factor y(h).
-(h + 2)**2
Let v(l) be the third derivative of -l**7/140 - l**6/240 + l**5/60 + 3*l**2. Factor v(y).
-y**2*(y + 1)*(3*y - 2)/2
Let f be 115/25 - 4/(-10). Let -f*z**2 + 1 + 5*z**2 - z**2 = 0. What is z?
-1, 1
Let p(d) be the third derivative of 1/90*d**5 + 0 - 1/36*d**4 + 0*d + 5*d**2 - 2/9*d**3. Determine y so that p(y) = 0.
-1, 2
Suppose -10*s = -5*s - 50. Suppose -2 = 4*l - s. Determine q, given that -2/3*q**3 + 2/3*q**l + 2/3*q - 2/3 = 0.
-1, 1
Find w, given that -9 + 21/2*w - 3/2*w**2 = 0.
1, 6
Let m(q) = 2*q + 6. Let p be m(-6). Let o(d) = d + 8. Let b be o(p). Solve 0 - 4/5*f**b - 2/5*f**3 - 2/5*f = 0 for f.
-1, 0
Let t be (-6)/8 - 39/(-36). Find b, given that 5/3*b**2 + t*b**3 - b**5 - 5/3*b**4 + 2/3*b + 0 = 0.
-1, -2/3, 0, 1
Let k be 20/132 + 34/187. Factor -2/3*c - 1 + k*c**2.
(c - 3)*(c + 1)/3
Let d(l) = l**2 + 4*l + 2. Let s be d(-4). Let o(k) be the first derivative of 2 - s*k**2 - 2*k - 2/3*k**3. Suppose o(p) = 0. Calculate p.
-1
Let m(k) = -k**3 + 5*k**2 + 7*k + 7. Let d(v) = -6*v**2 - 8*v - 6. Let h(y) = -y - 4. Let i be h(-7). Let b(s) = i*d(s) + 2*m(s). Suppose b(r) = 0. What is r?
-2, -1
Let j be 1/(-5) + 161/630. Let z(i) be the second derivative of 0*i**2 - 3*i + 0*i**3 + 0 - 1/30*i**5 - j*i**4. Suppose z(l) = 0. Calculate l.
-1, 0
Factor 168 + 685 + 176 + 63*h**2 - 441*h - 3*h**3.
-3*(h - 7)**3
Let d(o) be the third derivative of o**6/1620 - o**5/135 + o**4/36 + 5*o**3/6 - 4*o**2. Let t(s) be the first derivative of d(s). Factor t(q).
2*(q - 3)*(q - 1)/9
Let b(d) be the first derivative of 2*d**5/45 - 7*d**4/54 + 2*d**3/27 + d**2/9 - d - 2. Let g(k) be the first derivative of b(k). Factor g(h).
2*(h - 1)**2*(4*h + 1)/9
Find n such that 4*n**4 + 4*n**5 - 7*n**4 - 4*n**3 + 0*n**4 + 3*n**3 = 0.
-1/4, 0, 1
Suppose -7*w - 10 = -2*w. Let a be (w - 0 - -6)/2. Solve -1/4*o**5 - 1/4*o**a + 0*o + 0 - 3/4*o**3 - 3/4*o**4 = 0 for o.
-1, 0
Let k = 2/119 - -111/476. Suppose -2*m + 4*m = 4*d - 2, -2*d + 4*m = 8. What is l in 0 - k*l**3 + 1/4*l + 0*l**d = 0?
-1, 0, 1
Suppose 0 + 0*p + 2/3*p**3 + 4/9*p**2 + 2/9*p**4 = 0. Calculate p.
-2, -1, 0
Let z(a) be the first derivative of 1/20*a**5 + 3 - 1/4*a**4 - 3/2*a**3 - 2*a**2 + 0*a. Let x(n) be the second derivative of z(n). Find i such that x(i) = 0.
-1, 3
Let q(g) be the first derivative of -1/2*g**4 - 9*g**2 + 2 - 1/30*g**5 - 3*g**3 + 4*g. Let p(h) be the first derivative of q(h). Suppose p(x) = 0. What is x?
-3
Let v(f) be the third derivative of f**8/588 - f**7/70 + 17*f**6/840 + 11*f**5/140 - 3*f**4/56 - 11*f**2. Determine s, given that v(s) = 0.
-1, 0, 1/4, 3
Let s(d) = 2*d**2 - 14*d + 12. Let c be s(6). Let y(k) be the first derivative of 1/4*k**2 + c*k + 1 + 1/6*k**3. Factor y(r).
r*(r + 1)/2
Let a(l) = 0*l**3 + 2 + 1 + 3*l + l**3 - 3*l**2 - 7*l. Let q be a(4). What is g in 2/5*g**q - 8/5*g**2 + 8/5*g + 0 = 0?
0, 2
Let i be 5/(-7) + 8/(-28). Let f = 3 + i. Factor 2*s - 2*s + 2 - 2*s**f.
-2*(s - 1)*(s + 1)
Let z(d) = d**4 + 8*d**3 - 6*d + 6. Let a(n) = -2*n - 7. Let b be a(0). Let o(k) = k**4 + 9*k**3 - 7*k + 7. Let t(l) = b*z(l) + 6*o(l). Factor t(h).
-h**3*(h + 2)
Let i(v) = 6*v**4 - 14*v**3 - 40*v**2 + 20. Let b(t) = -t**4 + 3*t**3 + 8*t**2 - 4. Let u(o) = -14*b(o) - 3*i(o). Factor u(n).
-4*(n - 1)**2*(n + 1)**2
Let o(x) be the second derivative of -x**4/30 - 2*x**3/15 + 3*x**2/5 + 10*x. Determine p so that o(p) = 0.
-3, 1
Let a = 30 + -141/5. Factor -6/5*o**3 - 6/5*o**2 - 3/5 - 3/5*o**5 + a*o + 9/5*o**4.
-3*(o - 1)**4*(o + 1)/5
Suppose -t = 4*t + 2*i - 19, -5 = -5*t + 5*i. Suppose 2*a + 3 = a + 5*n, a + n = t. Factor 2/13*m**4 - 2/13*m**5 + 0 - 2/13*m**a + 0*m + 2/13*m**3.
-2*m**2*(m - 1)**2*(m + 1)/13
Let n(g) = 4*g + 5. Let o be n(-2). Let r = 4 + o. Factor r - 5/2*k - 1/2*k**3 + 2*k**2.
-(k - 2)*(k - 1)**2/2
Let g(l) = -l - 3. Let a be -3 - 2/(3 - 2). Let y be g(a). Solve 0 - 1/2*b**y + 1/4*b**3 + 1/4*b = 0 for b.
0, 1
Let j(p) be the second derivative of -p**6/30 + p**5/20 + p**4/12 - p**3/6 - 13*p. Factor j(c).
-c*(c - 1)**2*(c + 1)
Let z(u) be the first derivative of -3*u**5/40 + u**4/4 - u**3/4 - 4*u - 3. Let r(d) be the first derivative of z(d). Find h, given that r(h) = 0.
0, 1
Let h = -21/2 + 12. Factor -9/2*x + 3*x**3 + 3/2*x**5 + 9/2*x**4 - 3*x**2 - h.
3*(x - 1)*(x + 1)**4/2
Let p(g) = g**2 - 1. Let d(r) = -18*r**2 - 12*r + 6. Let o(l) = -d(l) - 9*p(l). Solve o(h) = 0 for h.
-1, -1/3
Let a be ((-104)/(-14))/(-4) + 3. Suppose 0 = 3*y - 4*j - 13, 5*j - 9*j = 2*y - 2. Suppose -24/7*p - a + 24/7*p**y - 10/7*p**2 + 18/7*p**4 = 0. What is p?
-1, -2/3, 1
Determine l, given that -18/7*l**4 + 0 + 0*l - 2/7*l**5 - 54/7*l**2 - 54/7*l**3 = 0.
-3, 0
Let a(l) be the second derivative of l**6/360 - l**5/240 + l + 1. Find z, given that a(z) = 0.
0, 1
Solve 81*h**2 - 6*h - 77*h**2 - 10*h - 20 = 0.
-1, 5
Suppose 5*l - 2 = 5*d - 12, -3*l + 6 = 3*d. Let n be -2 - ((-9 - -1) + d). Solve 0 + 0*p**2 - p**n + 1/2*p**3 + 0*p + 1/2*p**5 = 0.
0, 1
Let x = -594 + 596. Let g = 89 + -797/9. Find u, given that -g + 38/9*u**3 - 44/9*u**x + 22/9*u - 4/3*u**4 = 0.
1/2, 2/3, 1
Suppose 4*s = -p, -p = p + 3*s. Let r(o) be the second derivative of 0*o**3 - 1/50*o**5 + p*o**2 + 0 - 2*o - 1/30*o**4. Factor r(x).
-2*x**2*(x + 1)/5
Let h(g) = g**3 - 9*g**2 - 21*g - 5. Let n(j) = 5*j**3 - 35*j**2 - 85*j - 20. Let x(m) = -25*h(m) + 6*n(m). Factor x(a).
5*(a + 1)**3
Let v = -51/2 - -26. Let o(k) = -k**2 + k. Let l be o(0). Factor q**2 - v*q + 0*q**3 + 1/2*q**5 + l - q**4.
q*(q - 1)**3*(q + 1)/2
Let m(n) be the third derivative of -n**8/40320 + n**6/1440 + n**5/20 + n**2. Let v(f) be the third derivative of m(f). Suppose v(r) = 0. Calculate r.
-1, 1
Let k(a) be the third derivative of -a**7/70 + a**6/40 + 3*a**5/20 - 5*a**4/8 + a**3 + 2*a**2. Factor k(l).
-3*(l - 1)**3*(l + 2)
Let l be 21/9 + 4/6 + -1. Solve -2 - 1/2*n**2 + l*n = 0 for n.
2
Let t(r) be the first derivative of -r**3/5 + 14. Let t(u) = 0. What is u?
0
Let x(q) be the third derivative of -q**8/616 - 2*q**7/1155 + q**6/66 + 2*q**5/55 + q**4/132 - 2*q**3/33 - 3*q**2. Let x(z) = 0. What is z?
-1, 1/3, 2
Let q(m) = m**3 + 5*m**2 - 8*m - 6. Let x be q(-6). Let v = 9 - x. Factor -r - r**v - 2*r**2 + 0 + 0.
-r*(r + 1)**2
Let m(l) = 4*l**3 + 3*l + 7. Let p(g) = -5*g**3 - 3*g - 8. Suppose -7*n = -2*v - 3*n + 8, -10 = 2*n. Let t(s) = v*m(s) - 5*p(s). Determine r so that t(r) = 0.
-1, 2
Suppose 0 = -p + 2*p + 6. Let x(w) = 3*w**3 + 3*w**2 - 6. Let g(v) = -3*v**3 - 4*v**2 + 7. Let i(b) = p*g(b) - 7*x(b). Factor i(m).
-3*m**2*(m - 1)
Let h(i) = i**5 + i**4 + i**2 - i + 1. Let u(m) = 5*m**5 + 8*m**4 - 4*m**2 - 5*m + 2. Let q(z) = -2*h(z) + u(z). Suppose q(n) = 0. What is n?
-1, 0, 1
Suppose -1/2*z**3 + 1/4*z + 0*z**2 + 0*z**4 + 1/4*z**5 + 0 = 0. What is z?
-1, 0, 1
Let h(i) be the third derivative of 529*i**6/420 - 115*i**5/21 + 47*i**4/21 - 8*i**3/21 + 56*i