**3 - y**4.
-2*y**3*(3*y + 2)
Let t = 0 + 5. Let b be (8/20)/(1/t). Solve -1/5*s**b - 2/5*s + 0 = 0 for s.
-2, 0
Suppose 3*c - 3*v = 105, -2*c + 4*v + 29 + 39 = 0. Let w be (c/(-45))/((-2)/5). Let -7/3*q**w + 2/3 + 5/3*q = 0. What is q?
-2/7, 1
Suppose -4*z - 32 = -4*a, -a - 6 = 3*z + 2. Let g(y) be the third derivative of 0*y**3 + 0*y**a + 0 - 1/60*y**5 + 2*y**2 + 0*y. Solve g(u) = 0.
0
Let i(x) be the third derivative of x**7/525 - x**6/300 - 2*x**5/75 + x**4/15 + 24*x**2. Factor i(w).
2*w*(w - 2)*(w - 1)*(w + 2)/5
Suppose -2*r = -3*k - 9, 4*r = -4*k + 8 - 0. What is x in 0 + 0*x + 0*x**r - 2/5*x**5 - 4/5*x**4 + 0*x**2 = 0?
-2, 0
Let j = -3 + 9. Let z(y) = -y**4 + y**3 + y**2. Let i(k) = -3*k**4 + 6*k**2 + 6*k - 3. Let b(p) = j*z(p) - i(p). Factor b(w).
-3*(w - 1)**3*(w + 1)
Let w(c) be the second derivative of 2*c**7/21 + 8*c**6/15 + c**5 + 2*c**4/3 + 14*c. Factor w(d).
4*d**2*(d + 1)**2*(d + 2)
Let c(s) be the first derivative of -1/12*s**3 + 1/4*s + 6 + 0*s**2. Factor c(j).
-(j - 1)*(j + 1)/4
Let d(i) be the second derivative of -2*i**5/75 + 17*i**4/90 - 4*i**3/9 + 4*i**2/15 - 3*i. Factor d(y).
-2*(y - 2)**2*(4*y - 1)/15
Let m(s) be the third derivative of s**6/72 + s**5/12 + 5*s**4/24 + 5*s**3/18 + 18*s**2. Factor m(y).
5*(y + 1)**3/3
Let s(j) = j**2 - 9*j - 5. Let p be s(9). Let f(b) = 7*b**2 - 5*b + 3. Let r(n) = -n**2 + n - 1. Let u(c) = p*r(c) - f(c). Determine y, given that u(y) = 0.
-1, 1
Suppose -10*y - 4 = -12*y. Find j such that 4/5*j**y - 2/5*j**5 + 2/5*j + 0*j**3 + 0 - 4/5*j**4 = 0.
-1, 0, 1
Let a(h) = -h**3 + 3*h**2 + h. Let x be a(3). Suppose x*r = c + 7, -c = r - 1 - 4. Let 2/3*z**c - 2/3*z**3 + 2/3*z - 2/3 = 0. Calculate z.
-1, 1
Let i(r) = -9*r**2 + 25*r + 7. Let o(q) = -3*q**2 + 8*q + 2. Let t be 0 - -2 - 0/(-6). Let y(k) = t*i(k) - 7*o(k). Factor y(f).
3*f*(f - 2)
Let g be 5/14 + (-11)/(-77). Factor -g*o + 0 + 1/2*o**2.
o*(o - 1)/2
Let f(x) be the first derivative of 1/30*x**6 - 5/32*x**4 + 2 + 0*x - 1/12*x**3 - 1/10*x**5 + 1/2*x**2. Let w(d) be the second derivative of f(d). Factor w(v).
(v - 2)*(4*v + 1)**2/4
Find y, given that 0*y**3 + 0*y + 0 + 1/2*y**4 - 1/2*y**2 = 0.
-1, 0, 1
Let h(u) = u**3 + u**2. Let q(b) = -b - 1. Suppose 3*d + 4 = -d. Let i(c) = d*q(c) - h(c). Determine n so that i(n) = 0.
-1, 1
Let a = 1885/9 + -209. Factor -a - 8/9*l**2 - 2/9*l**3 - 10/9*l.
-2*(l + 1)**2*(l + 2)/9
Let s(h) be the second derivative of 0 + 1/2*h**2 - 3*h - 1/4*h**4 - 2/3*h**3 - 1/30*h**5. Let d(g) be the first derivative of s(g). Factor d(v).
-2*(v + 1)*(v + 2)
Let -14/11*f**3 + 0 + 6/11*f**5 + 8/11*f**4 + 8/11*f - 8/11*f**2 = 0. What is f?
-2, -1, 0, 2/3, 1
Suppose 10 = 25*j - 20*j. Let 0 - 4/7*v**4 + 4/7*v**j + 0*v + 10/7*v**5 - 10/7*v**3 = 0. What is v?
-1, 0, 2/5, 1
Suppose -2*g**4 + 11*g**2 - 11*g**2 + 0*g**3 + 4*g**3 = 0. Calculate g.
0, 2
Solve 101/6*r**2 + 25/2*r + 11/2*r**3 + 7/3 - 7/6*r**4 = 0 for r.
-1, -2/7, 7
Let h be ((-143)/12)/(-13) - (-1)/(-4). Factor 0 + 0*s - h*s**2.
-2*s**2/3
Let k(p) = 2*p**2 + 46*p + 46. Let v be k(-22). Factor 2/7*y**5 + 0 + 8/7*y**4 + 2/7*y + 8/7*y**v + 12/7*y**3.
2*y*(y + 1)**4/7
Let l(o) be the first derivative of 0*o**2 - 2 - o + 1/18*o**3 - 1/36*o**4. Let i(t) be the first derivative of l(t). Let i(w) = 0. What is w?
0, 1
Let t(y) = 2*y**4 + 4*y**3 + 8*y**2 + 4*y - 6. Let d(i) = -i - 9*i**2 + 7 + 2*i - i - 5*i**3 - 5*i - 3*i**4. Let m(b) = 4*d(b) + 5*t(b). Solve m(p) = 0.
-1, 1
Let k(m) be the third derivative of -m**8/56 + m**7/15 + m**6/20 - 11*m**5/30 + 4*m**3/3 - 10*m**2. Determine h, given that k(h) = 0.
-1, -2/3, 1, 2
Let y(u) = -u**3 - u**2 + u. Let o(h) = 2*h**5 - 2*h**4 - 6*h**3 + 10*h**2 - 2*h. Let i(q) = o(q) + 2*y(q). Factor i(v).
2*v**2*(v - 2)*(v - 1)*(v + 2)
Let y(j) be the first derivative of j**6/3 + 6*j**5/5 + j**4 + 18. Solve y(h) = 0.
-2, -1, 0
Suppose 3*r + 13 - 73 = 0. Suppose -a - 4 = 2*p, -a + r = 3*a - 4*p. Find n, given that -n**a + 0 + 0*n - 1/2*n**3 = 0.
-2, 0
Let f(w) be the third derivative of 0*w**3 + 0 + 3/20*w**5 + 1/8*w**4 + 0*w + 5*w**2. Factor f(d).
3*d*(3*d + 1)
Let v(s) = 86*s**2 - 31*s + 9. Let l(a) = -85*a**2 + 32*a - 8. Let o(q) = 5*l(q) + 4*v(q). What is m in o(m) = 0?
2/9
Suppose 0 = -0*h + 3*h - 6. Factor -3*q**3 + 4*q**3 + q**3 + h*q**2 + 2*q**2.
2*q**2*(q + 2)
Suppose -3*f + 9 = -2*c, 2*f + 5 + 0 = 5*c. Solve 1/3*z**2 + c - 2*z = 0.
3
Factor 2/3*r**2 + 8/3*r + 8/3.
2*(r + 2)**2/3
Factor -s**2 + 1/2*s**3 + 2*s**4 + 0 + 0*s - 3/2*s**5.
-s**2*(s - 1)**2*(3*s + 2)/2
Factor -87/4*h**2 - 3*h**3 - 93/4*h - 9/2.
-3*(h + 1)*(h + 6)*(4*h + 1)/4
Suppose -l + 8 = l. Factor 0*c**2 + 14*c**4 - c**2 - 13*c**l.
c**2*(c - 1)*(c + 1)
Factor -6/7*l**4 + 0 - 3/7*l + 6/7*l**2 + 3/7*l**5 + 0*l**3.
3*l*(l - 1)**3*(l + 1)/7
Factor -163*j**3 + 160*j**3 - 2*j**2 - j**2.
-3*j**2*(j + 1)
Let w(x) be the second derivative of -x**5/30 + x**4/9 + 4*x**3/9 - 8*x**2/3 - 32*x. Factor w(g).
-2*(g - 2)**2*(g + 2)/3
Let n be (-6)/(-108)*1*8. Let h(t) be the first derivative of 1/3*t**2 - 2/27*t**3 - n*t + 1. Factor h(q).
-2*(q - 2)*(q - 1)/9
Let c(f) be the third derivative of -f**5/60 + 11*f**4/60 - 4*f**3/15 - 9*f**2 + 4*f. Factor c(h).
-(h - 4)*(5*h - 2)/5
Suppose -4*l - 44 + 12 = 0. Let z(o) = -o - 5. Let r be z(l). What is p in 0*p + 0*p**r + 0 + 0*p**2 - 1/4*p**4 = 0?
0
Let f be -9 + 7 + 68/27. Let v(p) be the first derivative of -4/9*p - 2 - f*p**3 - p**2. Find d, given that v(d) = 0.
-1, -2/7
Let a(q) be the second derivative of 1/90*q**6 + 0 + 0*q**4 - 6*q - 1/6*q**2 + 1/30*q**5 - 1/9*q**3. Find c such that a(c) = 0.
-1, 1
Let z = -47 - -26. Let t be (-8)/z - 2/(-7). Factor -t*j**2 + 0*j + 0.
-2*j**2/3
Let s(l) = 7*l**3 - 7*l**2 + 5*l. Let a(n) = 3*n**3 - 3*n**2 + 2*n. Let w(t) = 5*a(t) - 2*s(t). Solve w(r) = 0 for r.
0, 1
Let z(r) be the first derivative of -r**3/9 - r**2/3 - r/3 + 2. Factor z(t).
-(t + 1)**2/3
Let m(p) be the third derivative of p**5/570 + p**4/19 + 11*p**3/57 - 24*p**2 - 2. Find f such that m(f) = 0.
-11, -1
Let w be ((-2)/(-45)*-3)/(428/(-535)). Factor 0*s - 1/6*s**2 + w.
-(s - 1)*(s + 1)/6
Let f(d) be the first derivative of d**5/5 - 5*d**4/2 + 12*d**3 - 28*d**2 + 32*d - 34. Solve f(u) = 0 for u.
2, 4
Find i such that -i**4 + 9*i**2 - 2*i**4 + i + 8*i - i**3 + 2 = 0.
-1, -1/3, 2
Let c(f) be the first derivative of 4/3*f - 4/9*f**3 + 7/3*f**2 - 7/6*f**4 - 1. Let c(h) = 0. What is h?
-1, -2/7, 1
Let g(t) be the third derivative of -t**6/200 - t**5/100 + 3*t**4/20 + 14*t**2. Find p such that g(p) = 0.
-3, 0, 2
Let a(u) = -u**3 + 5*u**2 + 2*u + 8. Let x be a(6). Let b be x/(-22)*3/12. Find s such that 0*s - 2/11*s**2 + 0 - b*s**3 = 0.
-1, 0
Let -6/13*t**2 - 4/13 + 14/13*t = 0. Calculate t.
1/3, 2
Let d = -327 - -1636/5. Solve d*x + 0 - 1/5*x**2 + 1/5*x**4 - 1/5*x**3 = 0 for x.
-1, 0, 1
Determine n so that 0 + 1/2*n + 1/4*n**2 = 0.
-2, 0
Let b = 48081/80 - 601. Let w(v) be the third derivative of 0*v + b*v**5 + 0 + 3*v**2 + 1/24*v**4 + 1/24*v**3. Let w(x) = 0. Calculate x.
-1, -1/3
Let h(i) be the second derivative of i**9/22680 - i**7/1890 + i**5/180 + i**4/12 - 3*i. Let u(d) be the third derivative of h(d). Factor u(z).
2*(z - 1)**2*(z + 1)**2/3
Let r be 91/42 - 1/6. Let a be r/(-12) + 6/18. Factor 1/6 - 1/6*t**3 + a*t - 1/6*t**2.
-(t - 1)*(t + 1)**2/6
Let i(p) = -40*p**4 - 95*p**3 - 55*p**2 + 130*p + 60. Let y(x) = 13*x**4 + 32*x**3 + 18*x**2 - 43*x - 20. Let w(j) = 3*i(j) + 10*y(j). Solve w(d) = 0 for d.
-2, -1/2, 1
Let b be (6/(-21))/((-2)/14). Factor -2 + 10*a**b + 4 + 2 + 14*a.
2*(a + 1)*(5*a + 2)
Let f(h) = h**2 + 5*h + 6. Let g be f(-4). Let t be -1*2/g + 1. Factor -w**5 + 0*w**4 + w**4 + t*w**5.
-w**4*(w - 1)
Factor -6*s + 2*s**2 + s + 4 + 5*s + 6*s.
2*(s + 1)*(s + 2)
Find i such that -5120*i - 1280*i**2 - 8192 - 10*i**4 - 160*i**3 - 1/4*i**5 = 0.
-8
Let h be (-2)/3 + 32/(-6). Let n be 10/3 - 4/h. Suppose b - n*b**3 + b**3 + 2*b**3 = 0. What is b?
-1, 0, 1
Factor -4*h + 7*h**3 + 6*h**2 + 0*h**2 - 9*h**3 + 0*h**2.
-2*h*(h - 2)*(h - 1)
Let g(f) be the first derivative of -3*f**5/10 - 9*f**4/8 - 3*f**3/2 - 3*f**2/4 + 7. Solve g(l) = 0.
-1, 0
Let b(o) be the first derivative of -o**5/390 + o**4/78 - o**3/39 + 2*o**2 + 3. Let m(t) be the second derivative of b(t). Solve m(k) = 0.
1
Let p(o) = 2*o**2 - 11*o + 8. Suppose 3*n + 2*n = -15. L