of f**3/15 + 4*f**2/5 + 16*f/5 - 9. Factor o(q).
(q + 4)**2/5
Let a = 4 + -15. Let u = a + 14. Determine w, given that 1/4*w**u + 0 - 1/2*w**2 + 1/4*w = 0.
0, 1
Let w(i) = 4*i - 1. Let o be w(1). Suppose o*k = 2*k - 5*f, 3*f = k - 8. Determine r so that -10/3*r + 8/3*r**2 - 4/3 + 20/3*r**3 - 10/3*r**k - 4/3*r**4 = 0.
-1, -2/5, 1
Suppose 0 = 17*q + 21 - 21. Factor q*m**4 + 0*m**2 - 2/3*m**3 + 1/3*m + 1/3*m**5 + 0.
m*(m - 1)**2*(m + 1)**2/3
Factor 3/4*i**3 - 1/2*i**4 + 0 + i**2 - i - 1/4*i**5.
-i*(i - 1)**2*(i + 2)**2/4
Let i(n) = 5*n**2 - 2. Let c be i(-2). Suppose -2*x = 5*u - c, -u + 3*x - 2 = 4*u. Suppose -2/9*s**3 - 2/9*s**4 + 2/9*s + 0 + 2/9*s**u = 0. What is s?
-1, 0, 1
Let g(w) = w - 5. Let b be g(11). Suppose b*v + 3 = 15. Determine p, given that -3/5*p + 3/5*p**v + 0 = 0.
0, 1
Let s be (1/3)/((-5)/(-45)). Let v(k) be the first derivative of 0*k + s - k**2 - 7/2*k**4 + 6/5*k**5 + 10/3*k**3. Factor v(x).
2*x*(x - 1)**2*(3*x - 1)
Suppose -3*t - t + 2*r = 1374, t = r - 345. Let s be 4/(-5) + t/(-90). Factor 0 - 2/11*o**s - 2/11*o**2 + 0*o.
-2*o**2*(o + 1)/11
Let j = -3 - -5. Suppose 3 = 5*n - 4*l, -4*n - 2*l + 24 = j*l. Determine o so that 2*o**4 - 3*o**4 - 2*o**3 + o**2 + 3*o**n - o = 0.
-1, 0, 1
Factor 0 + 0*d + 1/2*d**5 - 1/2*d**4 + 1/2*d**2 - 1/2*d**3.
d**2*(d - 1)**2*(d + 1)/2
Let i(l) = -5*l**3 - 9*l**2 - l + 9. Let f(k) = 6*k**3 + 10*k**2 + 2*k - 10. Let g(x) = -3*f(x) - 4*i(x). Factor g(z).
2*(z - 1)*(z + 1)*(z + 3)
Find o, given that 0*o**2 - 5/3*o**5 + 0 + 0*o + 7/3*o**4 - 2/3*o**3 = 0.
0, 2/5, 1
Suppose -5*w - 1 = -11. Let v be (-3)/(-12)*(-2 + 2). Determine x so that v - 4/5*x + 2/5*x**w + 2/5*x**3 = 0.
-2, 0, 1
Let i(n) be the first derivative of 0*n + 1/20*n**5 + 0*n**2 - 1/12*n**3 + 1 + 0*n**4. What is a in i(a) = 0?
-1, 0, 1
Let b(d) be the second derivative of d**8/2240 + d**4/12 - d. Let w(s) be the third derivative of b(s). Let w(o) = 0. What is o?
0
Let s = -521/4 + 131. Let j(i) = -2*i - 7. Let q be j(-5). Solve -3/4*h**q + 0 + 0*h - 1/4*h**5 - s*h**4 - 1/4*h**2 = 0 for h.
-1, 0
Let r be (0 - 0) + (-68)/(-112). Let s = 6/7 - r. Solve -s*j**2 - 1/4*j**4 + 1/2*j**3 + 0*j + 0 = 0.
0, 1
Suppose -7*u - 5*q + 28 = -3*u, -3*u + q + 2 = 0. What is j in -16/7*j**3 + 2/7 - 12/7*j + 24/7*j**u = 0?
1/2
Let o(s) be the first derivative of 3*s**5 - 3*s**4/2 - 29. Let o(q) = 0. What is q?
0, 2/5
Let r(p) be the second derivative of p**4/4 + 3*p**3/2 + 3*p**2 - p. Factor r(b).
3*(b + 1)*(b + 2)
Let i(u) = u**3 - u - 1. Let c(q) = 5*q**3 - 6*q**2 + 5*q - 4. Let h(v) = -c(v) + 4*i(v). Factor h(n).
-n*(n - 3)**2
Let b(v) = 24*v - 94. Let p be b(4). Factor 1/4*i**p + 1/2*i**4 + 0*i + 0 - 3/4*i**3.
i**2*(i - 1)*(2*i - 1)/4
Suppose 2*y = -2, 5*r - 7 = -4*y + y. Suppose 13 = -h - 5*k, 3*k = -r*h - 0 - 5. Factor -5*n**2 + 4*n - 2*n**2 - h + 5*n**2.
-2*(n - 1)**2
Let q(k) be the first derivative of -k**4 - 64*k**3/3 - 30*k**2 + 52. Let q(g) = 0. Calculate g.
-15, -1, 0
Determine v so that -8*v - 20*v**2 - 50*v**5 + 14*v**4 + 44*v**3 + 14*v**4 - 8*v**2 + 14*v**5 = 0.
-1, -2/9, 0, 1
Let t(u) be the third derivative of u**9/3024 - u**8/560 + u**7/280 - u**6/360 + 5*u**3/6 + 9*u**2. Let z(s) be the first derivative of t(s). Factor z(n).
n**2*(n - 1)**3
Let g(m) be the third derivative of m**10/453600 - m**9/181440 - m**5/12 - m**2. Let s(v) be the third derivative of g(v). Solve s(y) = 0 for y.
0, 1
Let s be (1/9)/((-4)/2). Let c = s + 5/9. Solve 3*y**4 + 0 - 1/2*y**3 + 0*y - c*y**2 = 0 for y.
-1/3, 0, 1/2
Let -2/5*t + 2/5*t**3 + 4/5*t**2 - 4/5 = 0. What is t?
-2, -1, 1
Let b(m) = m**3 + 11*m**2 + 10*m + 1. Let l be b(-10). Factor -2*v**4 - 3 + 2*v**2 + 2 + l.
-2*v**2*(v - 1)*(v + 1)
Let i(n) = -3*n**2 - 3*n - 4. Let h(w) = 15*w**2 + 15*w + 21. Let k(c) = -4*h(c) - 21*i(c). Factor k(j).
3*j*(j + 1)
Let v(h) be the third derivative of h**7/70 + h**6/10 + h**5/5 + 10*h**2. Suppose v(f) = 0. What is f?
-2, 0
Let h(t) be the first derivative of 0*t**2 + t + 2 - 1/3*t**3. Factor h(b).
-(b - 1)*(b + 1)
Suppose -3*q - 4*q = -4*q. Factor 0 - 6/7*b**4 + 4/7*b**3 - 10/7*b**5 + q*b**2 + 0*b.
-2*b**3*(b + 1)*(5*b - 2)/7
Let q(h) be the second derivative of -h**6/360 + h**4/24 + h**3/3 - h. Let w(m) be the second derivative of q(m). Factor w(o).
-(o - 1)*(o + 1)
Suppose 0 = 5*s + 10 + 10. Let q be (-11)/s - 1/(-4). Solve -b**q - 4 + 2*b**4 - b**5 + 4 = 0.
0, 1
Let m = -217/3 - -73. Suppose -d = -2*d + 3. Determine u so that -d*u**3 - 13/3*u + m + 8*u**2 = 0.
1/3, 2
Let t(r) = -r**5 + r**3 - r**2. Let h(g) = -3*g**5 - 6*g**4 - 3*g**3 + 6*g**2 + 12*g. Let m(z) = h(z) - 6*t(z). Solve m(l) = 0 for l.
-1, 0, 2
Let k(n) be the first derivative of n**5/100 - n**4/30 + n**3/30 + 4*n + 1. Let f(l) be the first derivative of k(l). Factor f(v).
v*(v - 1)**2/5
Let s(w) be the second derivative of -w**4/20 - 3*w**3/10 + 6*w**2/5 - 7*w. Determine c, given that s(c) = 0.
-4, 1
Suppose 0 = -10*d + 20. Factor -1/2*f + 0 + 1/2*f**3 + 0*f**d.
f*(f - 1)*(f + 1)/2
Let j(p) be the third derivative of -p**8/20160 + p**7/5040 - p**5/20 - p**2. Let k(u) be the third derivative of j(u). Factor k(v).
-v*(v - 1)
Let d(x) be the first derivative of 7*x**4 - 16*x**3 - 8*x**2 + 12. Let d(o) = 0. Calculate o.
-2/7, 0, 2
Let g(x) be the third derivative of -x**5/30 + x**4/6 + x**3 + x**2. Suppose g(o) = 0. Calculate o.
-1, 3
Let s(k) be the third derivative of -k**6/300 + k**5/150 + 17*k**2. Find v, given that s(v) = 0.
0, 1
Let t(y) be the third derivative of -y**7/945 + y**6/540 + y**5/270 - y**4/108 + 14*y**2. Factor t(o).
-2*o*(o - 1)**2*(o + 1)/9
Let o(k) be the first derivative of -2*k**3/3 + 3*k**2 - 4*k - 23. Factor o(c).
-2*(c - 2)*(c - 1)
Let z(r) be the second derivative of -6*r + 0*r**3 + 1/40*r**5 + 1/8*r**2 + 0 - 1/16*r**4. Solve z(p) = 0.
-1/2, 1
Factor -2*d**3 + 8 - 27*d + 18*d**2 - 8*d**2 + 11*d.
-2*(d - 2)**2*(d - 1)
Let d(w) = -w**5 - w**3 - 6*w**2 - w - 3. Let i(x) = -2*x**5 + x**4 - 2*x**3 - 11*x**2 - x - 5. Let c(q) = 5*d(q) - 3*i(q). Solve c(k) = 0.
-1, 0, 1, 2
Let y(h) = -h**4 + h**2 + h - 1. Let r(l) = -241*l**4 - 777*l**3 - 94*l**2 + 112*l + 28. Let o(c) = -r(c) - 4*y(c). Factor o(p).
(p + 3)*(5*p - 2)*(7*p + 2)**2
Let j(g) = -5*g**3 + 5*g. Let k(q) = -4*q + 4*q**3 + 0 + 0 + 0*q. Let u(n) = -3*j(n) - 4*k(n). Let u(l) = 0. Calculate l.
-1, 0, 1
Let w(d) be the first derivative of -1/20*d**5 + 1/2*d - 3/16*d**4 + 3/8*d**2 + 7 - 1/12*d**3. Let w(p) = 0. What is p?
-2, -1, 1
Let a(y) be the third derivative of 3/2*y**3 + 0 + 0*y + 1/60*y**5 + 1/4*y**4 - 3*y**2. Let a(b) = 0. What is b?
-3
Let b = -110 + 112. Factor 1 + 49/4*n**b + 7*n.
(7*n + 2)**2/4
Let i(w) be the third derivative of w**9/141120 + w**8/23520 - w**7/11760 - w**6/840 - w**5/30 - w**2. Let j(n) be the third derivative of i(n). Factor j(d).
3*(d - 1)*(d + 1)*(d + 2)/7
Factor 2*n**3 - 2*n**3 + n**3 - 2*n - 2*n**3 - 3*n**2.
-n*(n + 1)*(n + 2)
Factor j**2 + 1/6*j**3 - 5/2*j + 4/3.
(j - 1)**2*(j + 8)/6
Let j(q) = q + 4. Let k be j(0). Let v be -1 - 2/(k/(-6)). Determine u so that 4/5*u - 2/5*u**v + 0 = 0.
0, 2
Let h be (-12)/102 - (-597)/17. Let o = h - 33. Factor -4/7*u + 2/7 + 2/7*u**o.
2*(u - 1)**2/7
Let p(v) = v**2 - 11*v - 12. Let k be p(12). Let a(f) be the first derivative of -1/5*f**2 + 1 + 2/15*f**3 + 1/10*f**4 - 2/25*f**5 + k*f. Factor a(c).
-2*c*(c - 1)**2*(c + 1)/5
Let f(b) be the third derivative of b**5/60 + 7*b**4/24 + b**3 - 5*b**2. Find t such that f(t) = 0.
-6, -1
Let u(r) be the second derivative of 5/6*r**4 + 20/21*r**7 - 31/10*r**5 + 2*r**2 - 7/15*r**6 - r + 0 + 11/3*r**3. Find l, given that u(l) = 0.
-1, -2/5, -1/4, 1
Suppose 3*c = 8 - 2. Suppose 2*q = q + c. Determine t so that q*t**2 + 4*t - 12*t + 1 + 7 = 0.
2
Let r(v) be the third derivative of -v**8/26880 + v**7/10080 - v**4/8 + 2*v**2. Let u(m) be the second derivative of r(m). Factor u(j).
-j**2*(j - 1)/4
Let g(f) = 2*f - 2. Let j be g(2). Suppose 2*y + 4 = 5*z - z, 4*y - 8 = 0. Factor z*h**2 + 2*h - 2*h + j*h.
2*h*(h + 1)
What is r in -968 + 5*r**4 - 53 - 534*r - 6*r - 85*r**3 + 450*r**2 - 59 = 0?
-1, 6
Let r be (228/(-418))/((-4)/11). Solve 0*m**2 + 1/2*m**3 - r*m + 1 = 0 for m.
-2, 1
Let w(d) = 4*d**2 + 3*d + 2. Let o(h) = -11*h**2 - 9*h - 6. Let j(l) = -3*o(l) - 8*w(l). Solve j(v) = 0 for v.
-2, -1
Let u(l) = -l - 7. Let k