10. Let q(n) = n. Let x(s) = 2*h(s) + 4*q(s). Factor x(m).
-4*(m - 1)*(m + 5)
Factor 1/5*v**3 + 12/5*v + 8/5 + 6/5*v**2.
(v + 2)**3/5
Let q = -1 - -3. Let s be q + (-2)/(-6)*3. Factor -2 - 3*g**3 + 2 + s*g**2 - 3*g**4 + 3*g.
-3*g*(g - 1)*(g + 1)**2
What is o in -44*o + 32*o**2 - 35*o**3 + 40*o**2 + 4*o**4 - 16 + 4*o**3 = 0?
-1/4, 2, 4
Let c(t) = -t**2 + 2*t + 5. Let v = 12 - -3. Let m(r) = -6*r**2 + 15*r + 36. Let n(f) = v*c(f) - 2*m(f). Solve n(l) = 0.
-1, 1
Suppose 4 = 4*w - 8. Let m(v) be the third derivative of 0 + 0*v**7 + 0*v + 0*v**w + 0*v**5 + 3*v**2 + 1/120*v**6 - 1/336*v**8 + 0*v**4. Factor m(n).
-n**3*(n - 1)*(n + 1)
Let t(f) = -f**2 - f. Let u(v) be the first derivative of -v**3 - 3*v**2/2 + 1. Let q(s) = 14*t(s) - 4*u(s). Let q(m) = 0. Calculate m.
-1, 0
Let q(y) = -y**3 + 1. Let i(o) = 4*o**3 - 1. Let a(b) = -i(b) - q(b). Solve a(w) = 0.
0
Let l be (2*(-4)/(-144))/(1/3). Let -l*u**4 + 0 + 1/6*u + 1/6*u**2 - 1/6*u**3 = 0. Calculate u.
-1, 0, 1
Let u(q) = -9*q**2 - 5*q + 4. Let h(w) = 4*w**2 + 2*w - 2. Let j(i) = 5*h(i) + 2*u(i). Factor j(x).
2*(x - 1)*(x + 1)
Suppose 2*m + 4*a = -4, 0 = -5*m + 2*m - a + 14. Suppose -1 + 1 + m*k - 4*k - 2*k**2 = 0. What is k?
0, 1
Let l(q) be the third derivative of -q**7/1260 + q**6/900 - q**4/8 - 3*q**2. Let k(w) be the second derivative of l(w). Factor k(i).
-2*i*(5*i - 2)/5
Let g be 0/((126/24 + -5)*-8). Factor -2/3*x**3 + g*x + 2/9*x**2 - 2/9*x**5 + 0 + 2/3*x**4.
-2*x**2*(x - 1)**3/9
Let n(q) = q**3 - 4*q**2 + 2*q - 3. Let k be 2/(-6) + 13/3. Let u be n(k). Find r, given that 3*r**u - 5*r**5 - 1 + 1 = 0.
0
Factor 12*h - 18 - 22*h**2 - 13*h**2 + 33*h**2.
-2*(h - 3)**2
Let j = 20 - 199/10. Let a(w) be the first derivative of -j*w**5 + 1/2*w + 2 - 1/4*w**4 + 0*w**3 + 1/2*w**2. Suppose a(d) = 0. Calculate d.
-1, 1
Suppose 18*o**3 + 16*o**2 + 36*o**2 - 39*o**3 + 17*o**3 = 0. Calculate o.
0, 13
Find m such that -34/7*m + 0 - 2/7*m**2 = 0.
-17, 0
Let u(m) = -5*m**3 + m**2 + 3*m - 3. Let b(y) = 26*y**3 - 4*y**2 - 15*y + 15. Let i(q) = 2*b(q) + 11*u(q). Factor i(d).
-3*(d - 1)**2*(d + 1)
Let t(z) = 2*z**2 - 10*z - 10. Let g(y) = -y**2 + 11*y + 11. Let k(a) = -6*g(a) - 5*t(a). Determine u, given that k(u) = 0.
-2
Let s(x) be the third derivative of 0 + 4*x**2 + 1/36*x**4 + 0*x**3 - 1/360*x**6 + 0*x + 1/180*x**5. Suppose s(f) = 0. Calculate f.
-1, 0, 2
Suppose -3*n + 6 = 3. Let t(h) be the first derivative of -n - 7/2*h**2 - 2*h - 5/3*h**3. Let t(m) = 0. What is m?
-1, -2/5
Factor -2*c**2 + 5 - c - 2*c**3 - 4*c**4 - 5 + 9*c**3.
-c*(c - 1)**2*(4*c + 1)
Let n(c) = -70*c**3 + 155*c**2 + 85*c. Let y(v) = 5*v**3 - 11*v**2 - 6*v. Let l(r) = 6*n(r) + 85*y(r). Factor l(a).
5*a**2*(a - 1)
Factor -8/5*c + 2/5*c**4 - 3/5*c**2 + c**3 + 4/5.
(c - 1)*(c + 2)**2*(2*c - 1)/5
Suppose 0 = -6*y - 9 + 21. Suppose -x + 0*x**y - 1/2 + 1/2*x**4 + x**3 = 0. Calculate x.
-1, 1
Let y(r) be the third derivative of -r**7/1050 - r**6/300 - r**5/300 + r**2. What is c in y(c) = 0?
-1, 0
Suppose 2*y = -3*j + 8*j + 4, 5*j + 10 = 5*y. Let c(z) be the second derivative of 1/90*z**6 + 0*z**2 - 1/60*z**5 + 0*z**4 + j*z**3 + 0 + 2*z. Factor c(t).
t**3*(t - 1)/3
Suppose -7*n = -9*n. Suppose 0 + 2/5*c**2 - 2/5*c**4 + n*c**3 + 0*c = 0. What is c?
-1, 0, 1
Let g(v) be the first derivative of -v**4/8 - v**3/3 + 2*v**2 + 26. Determine w so that g(w) = 0.
-4, 0, 2
Let t(l) be the third derivative of 0*l + 0*l**3 - 2*l**2 + 0*l**4 + 1/15*l**6 - 2/75*l**5 - 1/21*l**7 + 0. Let t(o) = 0. What is o?
0, 2/5
Suppose 3*q + p - 7 = 0, 4*p + 20 + 20 = 5*q. Suppose n - 3 = -q*c - 0*n, 3*c + n - 1 = 0. Factor 4/7*v + 0 + 2/7*v**c.
2*v*(v + 2)/7
Suppose 2 - 18 = -2*g. Let i be (-2)/(-20)*20/g. Factor -1/2*d + 1/4 + i*d**2.
(d - 1)**2/4
Let g(h) be the first derivative of -1 - 1/40*h**5 + 0*h**4 + 0*h**2 + 1/12*h**3 - h. Let u(t) be the first derivative of g(t). Factor u(x).
-x*(x - 1)*(x + 1)/2
Let r(t) = t**2 + 12*t + 20. Suppose -5*k - 8 - 42 = 0. Let l be r(k). Factor 1/3*f**5 + 0 + 0*f - 2/3*f**4 + l*f**2 + 1/3*f**3.
f**3*(f - 1)**2/3
Let i(c) be the first derivative of 0*c - 2 + 1/7*c**2 - 2/21*c**3. Factor i(t).
-2*t*(t - 1)/7
Let c(v) be the third derivative of -v**6/180 + v**4/3 - 16*v**3/9 - 23*v**2. Factor c(j).
-2*(j - 2)**2*(j + 4)/3
Let u(o) = -6*o**4 - 9*o**3 - 3*o**2 - 3*o. Let n(x) = 7*x**4 + 10*x**3 + 3*x**2 + 4*x. Let f(k) = 3*n(k) + 4*u(k). Factor f(y).
-3*y**2*(y + 1)**2
Let u(n) = 6*n - 3. Let l be u(-2). Let b be 15/(-99) - 5/l. Factor 0*x + 2/11*x**2 - b.
2*(x - 1)*(x + 1)/11
Let i(c) = 2*c**2 - 3*c + 5. Let o be i(-9). Factor 2*a + 12*a - 278*a**3 + o*a**2 + 5 - 78*a - 50*a**5 + 3 + 190*a**4.
-2*(a - 1)**3*(5*a - 2)**2
Let c(t) be the second derivative of -t**6/10 - 3*t**5/5 - 3*t**4/2 - 2*t**3 - 3*t**2/2 - t. Solve c(g) = 0.
-1
Let d be (-3 + 7/3)*-3. Let l(g) = -7*g**2 + 4*g + 0*g + g**3 + d*g - 2*g. Let h(b) = 3*b**3 - 27*b**2 + 15*b. Let t(r) = -2*h(r) + 9*l(r). Factor t(s).
3*s*(s - 2)*(s - 1)
Let l = 490/353 - -100399/12355. Let j = 49/5 - l. Factor j*k**2 + 0*k + 0 + 2/7*k**3.
2*k**2*(k + 1)/7
Suppose -4*v + 9*c - 8*c + 4 = 0, v = -2*c - 8. Factor 0 + 1/2*w**4 + v*w**3 + 0*w - 1/2*w**2.
w**2*(w - 1)*(w + 1)/2
Factor 16*l**2 + 7*l**4 - 71*l**3 + 5*l**4 + 6*l**3 + 33*l**3.
4*l**2*(l - 2)*(3*l - 2)
Let o = 15 - -3. What is w in o*w**2 + 54 + w**3 - 55*w - 3*w**3 + w = 0?
3
Suppose -8*o**5 + 0*o + 40/3*o**4 + 4/3*o**2 + 0 - 22/3*o**3 = 0. Calculate o.
0, 1/2, 2/3
Let x(v) be the third derivative of 0 + 0*v + 0*v**5 - 2*v**2 + 0*v**3 + 1/96*v**4 - 1/480*v**6. Factor x(p).
-p*(p - 1)*(p + 1)/4
Let b(p) be the first derivative of 7*p**3 + 99*p**2/2 - 30*p - 38. Factor b(n).
3*(n + 5)*(7*n - 2)
Let k(j) be the third derivative of j**9/75600 + j**8/33600 - j**7/6300 - j**4/24 + j**2. Let h(v) be the second derivative of k(v). Find m such that h(m) = 0.
-2, 0, 1
Let g be (-7 - -8)/(1/3). Factor 0*m**2 + 0 + g*m**4 + 2/3*m**3 + 0*m + 10/3*m**5.
m**3*(2*m + 1)*(5*m + 2)/3
Suppose 1/4*o**5 + 0*o + o**4 + 0 + 1/2*o**2 + 5/4*o**3 = 0. Calculate o.
-2, -1, 0
Suppose 0*h = -3*h - 2*m, 4*m = 3*h. Let c(q) be the second derivative of -1/10*q**6 + 3/10*q**5 + 3/2*q**2 + 0*q**4 + h - q - q**3. Factor c(x).
-3*(x - 1)**3*(x + 1)
Factor 10/13*o - 2/13*o**3 + 6/13*o**2 - 2/13*o**4 + 4/13.
-2*(o - 2)*(o + 1)**3/13
Let g = -4/75171 - -9548201/27888441. Let y = g - 3/53. Factor 2/7*w - 2/7*w**3 - 2/7 + y*w**2.
-2*(w - 1)**2*(w + 1)/7
Let d(w) be the first derivative of -15*w**4/4 - 12*w**3 - 6*w**2 - 7. Factor d(h).
-3*h*(h + 2)*(5*h + 2)
Let p(w) be the second derivative of -w**5/15 + 5*w**4/9 - 14*w**3/9 + 2*w**2 - 11*w. Factor p(q).
-4*(q - 3)*(q - 1)**2/3
Suppose 5*s - 15 = 2*l, -11*l - 3*s + 9 = -9*l. Solve 0 + 2/5*f**3 + 2/5*f**2 + l*f - 2/5*f**4 - 2/5*f**5 = 0.
-1, 0, 1
Let t = 304/3 - 100. Suppose -3*m + 17*m = 28. Factor -4/3*y + t + 1/3*y**m.
(y - 2)**2/3
Factor 0*x + 0*x**2 + 0 - 1/4*x**3 + 1/2*x**4 - 1/4*x**5.
-x**3*(x - 1)**2/4
Let i = 210 + -1044/5. Factor -i*s + 2/5*s**2 + 4/5.
2*(s - 2)*(s - 1)/5
Let l(o) be the first derivative of -1/5*o**2 + 1/10*o**4 + 0*o**3 + 0*o + 3. Factor l(x).
2*x*(x - 1)*(x + 1)/5
Let w = -894 + 894. Factor 2/11*i**2 + w*i - 2/11.
2*(i - 1)*(i + 1)/11
Let g(f) be the second derivative of -f**6/180 + f**5/45 - f**4/36 + 2*f**2 - 4*f. Let w(u) be the first derivative of g(u). Solve w(s) = 0 for s.
0, 1
Let w be 1/2 - 42/(-4). Let u = -11 + w. Factor 0*p**2 - 1/3*p**5 + 2/3*p**3 + 0 - 1/3*p + u*p**4.
-p*(p - 1)**2*(p + 1)**2/3
Let m(z) = z**3 - 3*z**2 + z - 1. Let d be m(3). What is y in y**3 + 4*y - 3 - 3*y**d + 2 + 4*y - 5*y = 0?
1
Let s be -1*1/10*-2. Factor -1/5*v**3 - s*v**4 + 0 + 1/5*v**2 + 1/5*v.
-v*(v - 1)*(v + 1)**2/5
Let y(a) be the first derivative of -a**4/2 + 2*a**3/3 + 2*a**2 + 18. Find n, given that y(n) = 0.
-1, 0, 2
Suppose -h = 3*n + 9, 8 = -3*h - h - 5*n. Let f = -6 - -11. Factor -2*p**f - 2*p + 4*p**2 + h*p**5 + p**5 - 4*p**4.
2*p*(p - 1)**3*(p + 1)
Let v = -10 - -16. Find f such that 13*f**2 - 8*f**2 - 3*f**2 - v*f + 6 - 2 = 0.
1, 2
Let y(c) be the first derivative of 0*c - 1/15*c**3 + 1/10*c**2 + 2. Find v such that y(v) = 0.
0, 1
Let o(p) be the third derivative of p**5/300 + 3*p**4/40 + 7*p**3/15 - 35*p**2. What is x in o(x) = 0?
-7, -2
Let -3/5*q**2 - 12/5*q + 0 = 0. What is q?
-4, 0
Let 