)*1)/(6/8). Solve 16/3*y**3 + 2/9*y**2 + 32/9*y**4 + k - 4/3*y = 0.
-1, 1/4
Let a(q) = 7*q**2 - 5*q + 6. Let x(z) = -z**3 - 7*z**2 - 2*z - 8. Let t be x(-7). Let p(r) = 15*r**2 - 11*r + 13. Let o(s) = t*p(s) - 13*a(s). Factor o(v).
-v*(v + 1)
Let v(y) be the second derivative of 4*y + 1/15*y**6 + 0 + 0*y**2 + 0*y**3 + 1/6*y**4 - 1/5*y**5. Let v(t) = 0. What is t?
0, 1
Let l be 2/3*3 + 0. Suppose 0 = -6*i + 7 + 5. Factor l*f - 4*f**2 + 5*f**i + 9 - 9.
f*(f + 2)
Factor 17*k - 17*k - 4*k**3 + 2*k**4.
2*k**3*(k - 2)
Find u such that -14*u**2 - 2*u**4 - 3*u - u + 20*u**2 = 0.
-2, 0, 1
Let w(z) = z + 1. Let p(y) = 2*y**2 - 17*y - 19. Let d(f) = 2*p(f) - 18*w(f). Find i, given that d(i) = 0.
-1, 14
Let i(l) be the second derivative of l**5/40 - l**4/24 - 2*l**3/3 + 3*l**2 - 10*l. Suppose i(h) = 0. What is h?
-3, 2
Let t(y) be the third derivative of y**5/12 + 5*y**4/4 + 15*y**3/2 + 6*y**2. Factor t(k).
5*(k + 3)**2
Let l(t) be the first derivative of -t**4/30 - t**3/5 - 2*t**2/5 + 4*t + 6. Let x(b) be the first derivative of l(b). Find o, given that x(o) = 0.
-2, -1
Let b = -16 - -17. Let x(n) = -n**4 - n**3. Let l(t) = -3*t**5 - 10*t**4 - 7*t**3 + 6*t**2 + 9*t + 3. Let s(r) = b*x(r) - l(r). Factor s(c).
3*(c - 1)*(c + 1)**4
Let a = -93517/440 - -14507/40. Let h = 301/2 - a. Factor 2/11*l**5 + 0*l**3 + 0 + 4/11*l**4 - 2/11*l - h*l**2.
2*l*(l - 1)*(l + 1)**3/11
Let i(c) = -4*c**2 + 4*c + 11. Let b(g) = -g**2 - 1. Let j(q) = q + 4. Let t(a) = -b(a) - j(a). Let w(p) = -6*i(p) - 22*t(p). What is k in w(k) = 0?
0, 1
Suppose -7*v - s + 25 = -2*v, -2*s + 10 = 2*v. Suppose -2 + 12 = v*r. Factor 2*d - 2*d**2 - 2*d**r + 0*d.
-2*d*(2*d - 1)
Let i(j) be the first derivative of -1/10*j**5 - j + 1/2*j**2 + 0*j**4 - 1/30*j**6 + 1 + 1/3*j**3. Let p(l) be the first derivative of i(l). Factor p(n).
-(n - 1)*(n + 1)**3
Let o(j) = j**2 - 11*j - 5. Let n(w) = w**2 + 2*w + 8. Let d be n(-4). Let r(g) = -6*g**2 + 56*g + 24. Let b(y) = d*o(y) + 3*r(y). Factor b(l).
-2*(l + 2)**2
Let a(i) = -i**3 - i**2 + i. Let d(p) = 5*p**3 + 7*p**2 - 5*p - 3. Let t(x) = 4*a(x) + d(x). Factor t(n).
(n - 1)*(n + 1)*(n + 3)
Let h(t) be the third derivative of t**10/75600 + t**9/12600 + t**8/5600 + t**7/6300 + t**4/12 + 3*t**2. Let b(p) be the second derivative of h(p). Factor b(o).
2*o**2*(o + 1)**3/5
Find q, given that -2/7*q**5 + 6/7 - 2/7*q + 4/7*q**3 + 6/7*q**4 - 12/7*q**2 = 0.
-1, 1, 3
Let q(u) = -u**3 + 8*u**2 - 8*u + 10. Let x be q(7). Factor 0*y**3 + 4*y + y**4 - y**3 + 4*y**3 + y**x + 1 + 6*y**2.
(y + 1)**4
Let c be (-6)/(-9) - (-6)/(-9). Let u(q) be the first derivative of 2/3*q**3 - 2/5*q**5 + 2 + 0*q**4 + c*q + 0*q**2. Let u(o) = 0. Calculate o.
-1, 0, 1
Let z(l) be the third derivative of -l**7/280 + 3*l**6/160 - l**5/40 + 8*l**2. Factor z(c).
-3*c**2*(c - 2)*(c - 1)/4
Suppose 14*q + 6 = 62. Find k such that -2/11*k**5 + 0 - 6/11*k**q - 6/11*k**3 + 0*k - 2/11*k**2 = 0.
-1, 0
Let r be ((-12)/(-5))/((-2)/(-5)). Let u be (-24)/9*r/(-4). What is l in u*l - 2 - 2*l**2 - l**2 + l**2 = 0?
1
Factor -11*u**2 + 210*u**3 - 60*u + 234*u**4 + 2*u**2 + 12 - 87*u**4.
3*(u + 1)**2*(7*u - 2)**2
Suppose -1/3*c - 1/3*c**2 + 1/3 + 1/3*c**3 = 0. What is c?
-1, 1
Determine p so that 2/5*p**4 - 4/15*p - 16/15*p**3 + 0 + 14/15*p**2 = 0.
0, 2/3, 1
Let p(u) be the second derivative of 7/24*u**4 + 3/4*u**3 + 1/2*u**2 + 0 - 3*u. Determine z so that p(z) = 0.
-1, -2/7
Let 2*b - 2*b**2 - 3/2*b**3 + b**4 + 1/2*b**5 + 0 = 0. What is b?
-2, 0, 1
Let r(d) be the first derivative of 2/3*d**3 + 0*d + 1/480*d**5 - 1 + 0*d**2 + 0*d**4 - 1/1440*d**6. Let v(a) be the third derivative of r(a). Factor v(f).
-f*(f - 1)/4
Factor 1/2*k**4 - 1/2*k**3 + 0 + 0*k**2 + 0*k.
k**3*(k - 1)/2
Suppose -3*r + 6 = 3*y - 0, -2*y - 3*r + 1 = 0. What is g in 2/3*g - 2/3*g**y - 4/3*g**4 + 0*g**3 + 0 + 4/3*g**2 = 0?
-1, 0, 1
Suppose -15 = 3*m, 4*c - 3*c = -3*m + 49. Factor -7*o + 2*o**2 + o**2 + o**2 + c - 25*o.
4*(o - 4)**2
Let u be ((-8)/3)/((-2)/9). Let o be (-2)/3 + 32/u. Solve -5*t**4 - t**5 + 2*t**2 + t + 2*t**2 - 2*t**o + 3*t**4 = 0 for t.
-1, 0, 1
Let c(q) be the first derivative of -q**6/24 + q**5/20 + q**4/8 - q**3/6 - q**2/8 + q/4 + 28. Find w, given that c(w) = 0.
-1, 1
Let o = 1555/4 + -388. Solve -3 + 9/4*a**2 - o*a = 0.
-1, 4/3
Suppose 0*k + 8 = 2*k. Determine m so that -8 + 16*m + 3*m**2 + 5*m**2 - 12*m - k*m**3 + 0*m**3 = 0.
-1, 1, 2
Let v(f) = f**3 + 9*f**2 - 8*f + 24. Let b be v(-10). Determine h, given that 0*h**2 + 0 + 1/4*h**b + 1/4*h**5 + 0*h**3 + 0*h = 0.
-1, 0
Let g(t) = -t - 4. Let b(a) = -a - 4. Let c(d) = 3*b(d) - 2*g(d). Let f be c(-4). Factor 0*w + f + 2/9*w**2.
2*w**2/9
Suppose 3*v - 5*g = 17, 2*g - 2 = -3*v + 8. Let x(o) be the first derivative of -3*o**2 - 2*o**3 - 1/2*o**4 + v - 2*o. Find q such that x(q) = 0.
-1
Suppose -4*k - 4*k = -16. Let 0*q + 0 + 1/2*q**k = 0. Calculate q.
0
Let g be (2/(-10))/((-2)/20). Solve 0*z + 1/3*z**g - 1/3*z**4 + 0*z**3 + 0 = 0.
-1, 0, 1
Let p be 6*(16/15 - (1 - 0)). Factor 4/5 - p*z**2 + 2/5*z.
-2*(z - 2)*(z + 1)/5
Let t be (-4)/(-18) - 96/(-54). Suppose t*c - c = 4*i - 4, -4*c - i + 1 = 0. Factor -6*a**2 - a**3 + 2*a**4 + 10*a - 4 + c*a**2 - a**3.
2*(a - 1)**3*(a + 2)
Factor 258*s - 258*s + 3*s**3 - 3*s**5.
-3*s**3*(s - 1)*(s + 1)
Factor -2/5 + 7/5*i - i**2.
-(i - 1)*(5*i - 2)/5
Let o(a) = 5*a**2 + 5*a + 8. Let l(v) = -11*v**2 - 11*v - 17. Suppose -4*f - 7*m = -3*m - 48, -40 = -3*f + m. Let n(d) = f*o(d) + 6*l(d). Solve n(x) = 0.
-2, 1
Let a be (-45)/(-180) - (-22)/(-16)*-2. Solve -j**4 - 1/5 - 2*j**2 + 2*j**a + j + 1/5*j**5 = 0.
1
Let s be (-9)/(-6) - 2/(-4). Suppose -2*c = -5*c. Factor c*n - s*n**2 + 4 - 2*n + 0*n.
-2*(n - 1)*(n + 2)
Solve 0*h + 4*h - 5*h - 1 - h - h**2 = 0 for h.
-1
Let b(r) = r**2 + 10*r + 11. Let p be b(-8). Let i(a) = 5*a**2 + 3*a + 2. Let c(q) = 6*q**2 + 4*q + 3. Let s(d) = p*i(d) + 4*c(d). What is f in s(f) = 0?
-1, 2
Suppose -3 = -3*n + w, w = n - w - 1. Let p(k) = -3*k**3 - 6*k**2 - 5*k - 1. Let q(l) = l**3 + l + 1. Let x(s) = n*q(s) + p(s). Factor x(f).
-2*f*(f + 1)*(f + 2)
Suppose 2*b = 1 + 7. Let g be 2/1 - 6/b. Factor 0*x**3 + 0 + g*x**4 - 1/2*x**2 - 1/4*x + 1/4*x**5.
x*(x - 1)*(x + 1)**3/4
Let m(g) be the first derivative of -g**3/9 + 7*g**2/6 + 9. Factor m(o).
-o*(o - 7)/3
Factor i**3 + 1/4*i**4 - i - 3/4 + 1/2*i**2.
(i - 1)*(i + 1)**2*(i + 3)/4
Let p(b) be the third derivative of -1/60*b**4 - 2/15*b**3 + 4*b**2 + 1/75*b**5 + 1/300*b**6 + 0 + 0*b. Factor p(j).
2*(j - 1)*(j + 1)*(j + 2)/5
Let i be (1 - -2)*(-5)/(-5). Factor -s**2 - 2*s**4 - i*s**3 - s**5 + s**4 - 2*s**4.
-s**2*(s + 1)**3
Let m(i) be the second derivative of 2*i**7/147 + i**6/70 - i**5/140 - 15*i + 2. Suppose m(o) = 0. Calculate o.
-1, 0, 1/4
Let k = -18 - -23. Suppose -5*n**2 - 4 + 4*n**2 + 3*n + k*n - 4*n = 0. What is n?
2
Let q = 6 - 3. Let u = q - 0. Factor 0 + 3/4*w**2 - 1/4*w + 1/4*w**4 - 3/4*w**u.
w*(w - 1)**3/4
Suppose 2*u**2 + 99 - 22*u + 293 - 32*u - 2*u = 0. Calculate u.
14
Let m = -6492 + 97442/15. Let x = 34/5 - m. Solve -2/3*b**2 - 8/3*b - x = 0 for b.
-2
What is q in -6/7*q**2 + 8/7*q**4 - 22/7*q**3 + 32/7*q + 8/7 = 0?
-1, -1/4, 2
Let i(a) be the second derivative of -2*a**7/21 + 4*a**6/3 - 37*a**5/5 + 20*a**4 - 24*a**3 - 38*a. Find b such that i(b) = 0.
0, 2, 3
Suppose 6*q + 2 = 32. Let c(i) be the third derivative of 0*i + 1/360*i**6 + 0*i**q + 0*i**3 + 0 + i**2 - 1/72*i**4. Let c(z) = 0. What is z?
-1, 0, 1
Let m = 5 - 1. Factor -5*u**2 + m + 7*u**2 - 6*u + 0.
2*(u - 2)*(u - 1)
Let p(o) be the third derivative of o**2 + 0*o**5 + 0 + 1/540*o**6 + 0*o + 0*o**3 - 1/108*o**4. Factor p(d).
2*d*(d - 1)*(d + 1)/9
Let a(l) be the first derivative of 4*l**3/3 - 50*l**2/9 - 8*l/3 - 11. Factor a(f).
4*(f - 3)*(9*f + 2)/9
Factor 0*y**2 + 0 + 1/3*y**3 + 1/3*y**4 + 0*y - 2/3*y**5.
-y**3*(y - 1)*(2*y + 1)/3
Suppose -3*r + 7 = -5. Let t(i) be the third derivative of 0 - 4/45*i**5 + 1/36*i**r + 2*i**2 + 0*i + 2/9*i**3 + 1/36*i**6. Suppose t(v) = 0. Calculate v.
-2/5, 1
Let v be (-14 + 9)/70*(-5 + 1). Let 4/7*h**3 + 0*h**4 + 0*h**2 + 0 - 2/7*h**5 - v*h = 0. Calculate h.
-1, 0, 1
Let k = -249 - -617/3. Let x = k + 44. Suppose 2/3*q**2 + 0 - x*q**4 + 2/3*q - 2/3*q**3 = 0. What is q?
-1, 0, 1
Let o(v) be the third derivative of v**7/70 - 3*v**6/40 - v**5/20 + 3*v**4/8 - 4*v*