 0. Calculate g.
-1
Let x(s) = -s**3 + 11*s**2 - 18*s + 5. Let p be x(9). Let m(l) be the second derivative of 0*l**3 + 0*l**2 + 1/15*l**4 + 2*l + 1/50*l**p + 0. Factor m(n).
2*n**2*(n + 2)/5
Let m(s) be the third derivative of s**5/105 - s**4/14 - 6*s**2. Find i, given that m(i) = 0.
0, 3
Let s(d) be the second derivative of d**5/180 - d**3/18 - d**2/2 - 3*d. Let m(r) be the first derivative of s(r). Solve m(b) = 0.
-1, 1
Let f(y) be the third derivative of 0*y - y**2 - 1/3*y**3 - 3/20*y**5 - 11/24*y**4 + 0. Factor f(s).
-(s + 1)*(9*s + 2)
Let a = 7 + -4. Suppose a*f = 2*h, -f + 5*f = 5*h. Factor 0*k - 1/5*k**5 + 0*k**4 + 0*k**2 + f + 1/5*k**3.
-k**3*(k - 1)*(k + 1)/5
Let a = 2 + 1. Let l = 6 + -4. What is c in -12*c**2 + 2 + c + 0*c + 7*c**a + l*c = 0?
-2/7, 1
Suppose -6*p = -13 - 11. Let m(h) be the second derivative of 0 - 1/7*h**2 - 1/7*h**3 + 1/147*h**7 + 1/35*h**5 + 1/35*h**6 - 1/21*h**4 - p*h. Factor m(w).
2*(w - 1)*(w + 1)**4/7
Suppose u = 5*u + 4. Let v be 6 + (1 - (u + 4)). Factor -r + r**2 - r**v + 0*r**3 - 4*r**2 - 3*r**3.
-r*(r + 1)**3
Suppose -5*h + s + 18 = 0, -30*h + 25*h - 4*s + 28 = 0. Factor -14/3*k**3 - 2/3*k + 2*k**h + 0 + 10/3*k**2.
2*k*(k - 1)**2*(3*k - 1)/3
Let h(k) be the third derivative of -k**7/70 + k**6/40 + k**5/20 - k**4/8 + 30*k**2. Factor h(l).
-3*l*(l - 1)**2*(l + 1)
Let k = -16 - -18. Factor 0 - 2/9*i**4 + 2/9*i + 2/9*i**k - 2/9*i**3.
-2*i*(i - 1)*(i + 1)**2/9
Let a(r) be the third derivative of 0*r**3 + 0*r + 5*r**2 + 1/8*r**4 + 1/20*r**5 + 0. Find v such that a(v) = 0.
-1, 0
Let j(x) be the second derivative of 0 + 0*x**2 - 1/10*x**5 - 4/75*x**6 - 1/15*x**4 - 1/105*x**7 - 2*x + 0*x**3. What is b in j(b) = 0?
-2, -1, 0
Factor 6*r**3 + r**2 - 12*r**3 - 6*r**3 + 3*r**2 + 8*r.
-4*r*(r - 1)*(3*r + 2)
Let f = -38 + 39. Suppose 0 = u - 1 - 1. Suppose 2*o**2 + o - 2*o**u - o**3 - o**2 + f = 0. Calculate o.
-1, 1
Let y = -2/607 - -613/1821. Factor -1/3*u**2 - y*u**3 + 0 + 1/3*u**4 + 1/3*u.
u*(u - 1)**2*(u + 1)/3
Let a be 1 + 2*(-1)/(-1). Determine y, given that -3 + 64*y**5 - 3*y - a*y**4 + 6*y**3 + 6*y**2 - 35*y**5 - 32*y**5 = 0.
-1, 1
Solve 0 - 5*t**2 - 11/2*t**3 - 2*t**4 - 3/2*t = 0 for t.
-1, -3/4, 0
Let s(p) be the first derivative of -p**4/8 - 13*p**3/24 - 3*p**2/16 - 21. What is u in s(u) = 0?
-3, -1/4, 0
Let x be (-346)/(-15) - (-4)/30. Let o = 118/5 - x. Factor -o*t + 2/5*t**2 + 6/5*t**4 + 0 + 2*t**3.
2*t*(t + 1)**2*(3*t - 1)/5
Suppose 22*d + 1 - 45 = 0. Let 2/3 + 1/3*h**d + h = 0. What is h?
-2, -1
Let u(z) be the first derivative of -z**4/12 + 2*z**3/9 + z**2/6 - 2*z/3 + 10. Factor u(y).
-(y - 2)*(y - 1)*(y + 1)/3
Let a(q) be the third derivative of 3/20*q**4 + 2/175*q**7 + 8/75*q**5 + 1/840*q**8 + 0 + 7/150*q**6 + q**2 + 0*q + 2/15*q**3. Determine l, given that a(l) = 0.
-2, -1
Let o(n) be the second derivative of -n**9/45360 + n**7/3780 - n**5/360 - 7*n**4/12 - 5*n. Let c(z) be the third derivative of o(z). Solve c(f) = 0 for f.
-1, 1
Let g(m) be the first derivative of 2*m**3/39 - 11*m**2/13 - 24*m/13 + 31. Determine j, given that g(j) = 0.
-1, 12
Factor -3*n**2 - 4 + 6*n + 36 - 5 - 18.
-3*(n - 3)*(n + 1)
Let v(k) be the third derivative of 0*k - k**2 + 2/9*k**3 + 0 + 1/90*k**5 + 1/12*k**4. Let v(m) = 0. Calculate m.
-2, -1
Let i(d) be the first derivative of -d**5/150 + d**4/60 + 2*d**3/15 - d**2/2 + 2. Let z(t) be the second derivative of i(t). Find j, given that z(j) = 0.
-1, 2
Let v be 3/(12/32) - 3. Let b(h) be the second derivative of 1/9*h**3 + 0 - 1/18*h**4 - 1/30*h**v + h + 1/3*h**2. Suppose b(q) = 0. Calculate q.
-1, 1
Factor 0*a**3 + 6*a**3 + 4*a + 19*a**2 - 29*a**2.
2*a*(a - 1)*(3*a - 2)
Let z(i) = -8*i**2 + 17*i - 12. Let g(s) = -7*s**2 + 16*s - 12. Let j(b) = 5*g(b) - 4*z(b). Factor j(l).
-3*(l - 2)**2
Let b(a) be the first derivative of -a**3 - 27*a**2/8 - 3*a/2 - 11. Solve b(u) = 0 for u.
-2, -1/4
Let c = -180 + 180. Factor 2/11*h**2 + c + 2/11*h.
2*h*(h + 1)/11
Let q(r) be the third derivative of 2*r**5/75 + 7*r**4/60 - 2*r**3/15 - 6*r**2. Factor q(n).
2*(n + 2)*(4*n - 1)/5
Suppose -5*o - 3*j = -30, 2*j = -2*o + 6*j + 12. Let x be (-66)/(-72) - 4/o. Factor 0 + 1/4*h**4 + 0*h - 1/4*h**3 - 1/4*h**2 + x*h**5.
h**2*(h - 1)*(h + 1)**2/4
Let j(g) = -g**2 + 2*g + 6. Let p(z) = -2*z**2 + 4*z + 13. Let y(k) = -7*j(k) + 3*p(k). Factor y(s).
(s - 3)*(s + 1)
Let h be (-27)/(-5) + 2/(-5). Suppose -h = -2*y + 5. Suppose -8*r**4 + 2*r**2 + 0 - 1/3*r**3 - 16/3*r**y - 1/3*r = 0. What is r?
-1, 0, 1/4
Let z(r) = 3*r - 1. Let k be z(2). Suppose -k*u = -0*u. Suppose u*p - 1/4*p**4 + 0 + 3/4*p**5 + 1/4*p**2 - 3/4*p**3 = 0. What is p?
-1, 0, 1/3, 1
Let u = -22 + 27. Let z(m) be the first derivative of -1/5*m**u - 7/12*m**4 + 0*m + 0*m**2 - 2/9*m**3 + 1. Factor z(t).
-t**2*(t + 2)*(3*t + 1)/3
Solve -476/5*f**2 - 48/5 + 64*f - 196/5*f**3 = 0 for f.
-3, 2/7
Let k(y) = y**2 - 10*y - 25. Let n(f) = -2*f**2 + 10*f + 25. Let p(d) = 6*k(d) + 4*n(d). Factor p(u).
-2*(u + 5)**2
Let l = 12 + 53. Let z be (-1)/5 + l/75. Find u, given that 8/3*u**3 - z + 4/3*u + 14/3*u**2 = 0.
-1, 1/4
Suppose 5*b + 3*z - 24 = 0, 5*b - 3*z = 3 + 3. Solve -5/2*t**4 + 1 - 9/2*t**2 + 1/2*t - 13/2*t**b = 0 for t.
-1, 2/5
Factor 20 - 65*s + 3*s**3 - 8*s**3 + 25*s + 25*s**2.
-5*(s - 2)**2*(s - 1)
Let n be -8 + 8 - (1 + -4). Let x be (-2)/3 - (-11)/n. Suppose 0*w**2 + 0*w + 1/2*w**4 + 0 + 1/2*w**x = 0. What is w?
-1, 0
Let v be -2 - (1504/186)/(-4). Let s = v + 172/651. Determine w so that -2/7 + 0*w + s*w**2 = 0.
-1, 1
Factor 4/7*y + 0 + 2/7*y**2.
2*y*(y + 2)/7
Let g be 9/24 + 2/(-6). Let o(f) be the second derivative of 1/4*f**2 + 1/40*f**5 + f + 0 - g*f**4 - 1/12*f**3. Suppose o(x) = 0. What is x?
-1, 1
Factor -1/2*x**2 + 4*x - 8.
-(x - 4)**2/2
Let v(l) = -l**3 - 4*l**2 - l + 2. Let p be v(-4). Let -3*q - p - 3*q**3 + 14 - 8 - 6*q**2 = 0. Calculate q.
-1, 0
Let k(o) be the third derivative of -o**8/50400 + o**7/4200 - o**6/900 - o**5/15 - 2*o**2. Let i(q) be the third derivative of k(q). Factor i(y).
-2*(y - 2)*(y - 1)/5
Solve m**5 - m**2 + m - 8*m**3 + 2*m**4 - 5*m**3 - 3*m**2 + 11*m**3 + 2 = 0.
-2, -1, 1
Factor 0*a + 8/3*a**2 - 4/3*a**4 - 4/3*a**3 + 0.
-4*a**2*(a - 1)*(a + 2)/3
Let i(z) be the third derivative of z**6/360 - z**5/60 + z**3/2 + z**2. Let r(s) be the first derivative of i(s). Factor r(x).
x*(x - 2)
Let g(f) = -f**3 + 5*f**2 - 7*f. Let q(l) be the first derivative of -l**4 + 16*l**3/3 - 10*l**2 + 2. Let h(v) = -8*g(v) + 3*q(v). Let h(n) = 0. Calculate n.
0, 1
Let v(f) be the first derivative of -f**5/25 - 3*f**4/20 + 2*f**2/5 - 49. Suppose v(z) = 0. Calculate z.
-2, 0, 1
Factor 9*z + 4*z**2 + 4*z**4 - 12*z**4 + z**5 + 4 - 19*z + 8*z**3 + z**5.
2*(z - 2)*(z - 1)**3*(z + 1)
Let r(y) = y**3 - 3*y**2 - y + 3. Let j be r(3). Solve 2*c**3 - 16*c**4 - 6*c**3 - 20*c**3 + j*c - c - 9*c**2 = 0.
-1, -1/4, 0
What is p in 0*p**2 + 6/5*p**4 + 0 + 2/5*p**5 + 0*p + 4/5*p**3 = 0?
-2, -1, 0
Let c(t) be the first derivative of -5/12*t**2 - 5 + 1/6*t**3 + 1/3*t - 1/30*t**5 + 1/24*t**4. Find y such that c(y) = 0.
-2, 1
Factor 4 - o - 5*o + o + o**2 + o.
(o - 2)**2
Suppose -s = -3*x - 4, -4*s + 18 = -x + 2. Let u(d) be the third derivative of 0*d**3 - 3*d**2 + 0 - 1/240*d**5 + x*d - 1/96*d**4. Factor u(j).
-j*(j + 1)/4
Let f = 10 + -1. Suppose 0 = -4*r - 1 + f. Factor r*n**2 - 2*n - 2*n**2 + 1 + n**2.
(n - 1)**2
Let j(r) be the second derivative of -r**5/20 - r**3/6 - r**2/2 - 3*r. Let h(q) = 10*q**3 + 12*q**2 + 32*q + 24. Let n(d) = -h(d) - 8*j(d). Solve n(c) = 0.
-2
Suppose 2/7*b + 0 - 2/7*b**3 + 0*b**2 = 0. Calculate b.
-1, 0, 1
Suppose -2*m = -u + 6*u - 29, -3*u + 19 = 2*m. Determine n so that 2/7*n**m + 8/7 + 8/7*n = 0.
-2
Let t = -3 + 5. Let 3/5*f**t + 3/5 - 6/5*f = 0. Calculate f.
1
Let s be (12/(-180))/((-5)/(45/24)). Let l(j) be the third derivative of 0 + 1/2*j**3 + 1/8*j**4 - 1/20*j**5 - s*j**6 + j**2 + 0*j. Find c, given that l(c) = 0.
-1, 1
Suppose 0*v - 29 = -5*a - v, -3*v = 5*a - 27. Let j(q) be the second derivative of -2/45*q**a + 0*q**3 + 1/36*q**4 + 0*q**2 + 2*q + 0 + 1/20*q**5. Factor j(o).
-o**2*(o - 1)*(4*o + 1)/3
Suppose v = -2*b - 4, -4*v + 11 = -0*b - b. Solve 2/5 + 2/5*d**v + 4/5*d = 0 for d.
-1
Suppose 4*c - 5*x - 25 = 0, -x - x - 10 = -3*c. Let n(g) be the third derivative of 0*g**3 + g**2 + c*g**4 + 0*g - 1/150*g*