**2 = 0 for t.
-2, 1
Determine i, given that -2*i**3 + i**3 + 3*i**3 - 2*i**4 = 0.
0, 1
Let o(g) be the second derivative of 5*g**4/12 - 35*g**3/6 + 15*g**2 + 9*g. Let o(d) = 0. Calculate d.
1, 6
Suppose 2/7*g**2 + 32/7 - 16/7*g = 0. Calculate g.
4
Let p = 115 - 112. Factor -j**2 - 1/3*j**4 + 0 - 1/3*j - j**p.
-j*(j + 1)**3/3
Factor -3*z**4 + 2*z**4 - 60*z + 20 + 65*z**2 - 4*z**4 - 30*z**3 + 10*z**4.
5*(z - 2)**2*(z - 1)**2
Let f(u) be the third derivative of 0 - 1/30*u**5 - 1/4*u**4 - 2/3*u**3 + u**2 + 0*u. Suppose f(t) = 0. Calculate t.
-2, -1
Let d(i) be the third derivative of -i**5/15 + 4*i**2. Suppose d(j) = 0. Calculate j.
0
Let r be -5*((-24)/10 + 2). Let y = 19/8 + -15/8. Let 0 - b**r + y*b = 0. What is b?
0, 1/2
Let 1/7*z + 0 + 1/7*z**3 - 2/7*z**2 = 0. Calculate z.
0, 1
Let a(z) be the first derivative of -1/18*z**4 - 3 + 2/27*z**3 + 1/9*z**2 - 2/45*z**5 + 0*z. Factor a(s).
-2*s*(s - 1)*(s + 1)**2/9
Suppose -2/9*s**3 + 14/9*s**2 + 10/9 - 22/9*s = 0. Calculate s.
1, 5
Let d(y) be the first derivative of -y**5/60 - y**4/12 - y**3/6 + 3*y**2/2 - 3. Let a(k) be the second derivative of d(k). Factor a(l).
-(l + 1)**2
Let w(z) = -z**3 - 8*z**2 - z. Let r(g) = -4*g**3 - 40*g**2 - 4*g. Let v(o) = -5*r(o) + 24*w(o). Suppose v(n) = 0. Calculate n.
0, 1
Suppose -4*i + 2*i = 0. Let -2/7*z - 4/7*z**2 + i - 2/7*z**3 = 0. Calculate z.
-1, 0
Let c be 4*(18/8)/3. Let f(d) be the first derivative of -1/3*d - 1/9*d**3 + c + 1/3*d**2. Find t such that f(t) = 0.
1
Suppose -14*s = 16*s. Suppose -2/7*k**2 - 4/7*k + s = 0. Calculate k.
-2, 0
Let h(s) be the second derivative of 1/18*s**3 + 0 + 1/63*s**7 + 0*s**2 - 17/180*s**6 + 1/5*s**5 - 13/72*s**4 - 6*s. Find u such that h(u) = 0.
0, 1/4, 1, 2
Suppose 113*k = 133*k. Suppose k + 0*u + 1/2*u**2 + 1/4*u**3 = 0. What is u?
-2, 0
Let o(f) = f**2 + f - 1. Let z be o(2). Determine n, given that -4/3*n**3 - 4/3*n**2 + 2*n**4 - 2/3 - 2/3*n**z + 2*n = 0.
-1, 1
Solve -2/3*t**2 + 0 - 4/3*t + 2*t**3 = 0 for t.
-2/3, 0, 1
Suppose 0 = 5*d - 25, -3*d = 5*g + d - 30. Find w such that w**2 + 24*w + 7*w**g + 9*w**2 + 9 - 2*w**2 = 0.
-1, -3/5
Let a(v) = -15*v**3 + 19*v**2 - 15*v + 11. Let c(f) = 4*f**3 - 5*f**2 + 4*f - 3. Let h(g) = -6*a(g) - 22*c(g). Factor h(u).
2*u*(u - 1)**2
Let 24/5 - 156/5*n + 42*n**2 + 147/5*n**3 = 0. Calculate n.
-2, 2/7
What is a in -5*a + a - 4*a + 4 + 4*a**2 = 0?
1
Suppose -3*u + 1 = -2*l - 3, 2*l + 4 = 0. Factor 0*y**2 + u + 2/11*y - 2/11*y**3.
-2*y*(y - 1)*(y + 1)/11
Let x(k) be the first derivative of 4*k**5/5 - 7*k**4/4 - 2*k**3/3 + 7*k**2/2 - 3. Let b(l) = -l**4 + l**3 - l**2 - l. Let g(p) = b(p) + x(p). Factor g(s).
3*s*(s - 2)*(s - 1)*(s + 1)
Let l = -19/10 + -3/5. Let t = l - -3. Find f, given that -7/4*f - f**2 + t = 0.
-2, 1/4
Let a(s) be the first derivative of -s**4/12 + s**3/3 + 6*s + 1. Let x(q) be the first derivative of a(q). Factor x(c).
-c*(c - 2)
Factor 16/5*v**3 - 4*v - 8/5*v**2 + 4/5*v**5 + 16/5*v**4 - 8/5.
4*(v - 1)*(v + 1)**3*(v + 2)/5
Let x(h) = -h**2 - 5*h + 5. Let t be x(-4). Determine p, given that 18*p**2 - 2*p + 6*p**3 + 5*p - t*p**2 = 0.
-1, -1/2, 0
Let x = 4 - 1. Suppose 3*m - 13 = -n, -m + 6*m - 5*n = 15. Factor 2*g**2 - x*g**3 + 4*g**3 - g**m - g - g**2.
-g*(g - 1)**2*(g + 1)
Let d(k) be the second derivative of k**4/12 + k**2/2 - 3*k. Let b(w) = 7*w**2 - 8*w + 8. Let f(q) = -b(q) + 4*d(q). Factor f(h).
-(h - 2)*(3*h - 2)
Let p(l) = -l**2 - l + 1. Let z(i) = -25*i**3 + 110*i**2 + 95*i - 65. Let x(a) = -25*p(a) - z(a). Factor x(q).
5*(q - 4)*(q + 1)*(5*q - 2)
Factor 1/3*d + 0 + 1/6*d**3 - 1/2*d**2.
d*(d - 2)*(d - 1)/6
Suppose 4*f = 3*g - 6, -2*g = -5*f - g - 2. Let n(a) be the second derivative of f - 2/9*a**3 + 1/36*a**4 - a + 2/3*a**2. Factor n(i).
(i - 2)**2/3
Let r(g) be the third derivative of g**8/336 + 2*g**7/105 + g**6/30 - 13*g**2. Suppose r(x) = 0. Calculate x.
-2, 0
Let a(s) be the first derivative of s**5/25 - 2*s**3/5 - 4*s**2/5 - 3*s/5 - 54. Suppose a(w) = 0. What is w?
-1, 3
Let t = 94/21 - 22/7. Let l(q) be the first derivative of t*q**3 + 9/2*q**4 - 2 + 0*q + 5/3*q**6 + 0*q**2 + 24/5*q**5. Factor l(p).
2*p**2*(p + 1)**2*(5*p + 2)
Let m(s) = -s**3 - 3*s**2 + 4*s - 5. Let k be m(-4). Let h = 9 + k. Factor -6*u**2 - 2 - 2*u**3 - h*u - 2 + 2 - 2*u.
-2*(u + 1)**3
Let j = -28 - -88/3. Determine v so that -2/3*v**4 - 4/3*v + 0*v**2 + j*v**3 + 2/3 = 0.
-1, 1
Let c(h) be the first derivative of -4/45*h**5 - 2 + 1/27*h**6 + 1/18*h**4 + 0*h + 0*h**3 + 0*h**2. Find m such that c(m) = 0.
0, 1
Let v(s) = -s**3 - 5*s**2 + 3. Let g(l) = l**2 - 5*l - 3. Let b(j) = 4*j + 2. Let c(i) = -5*b(i) - 4*g(i). Let y(p) = 3*c(p) - 2*v(p). Factor y(n).
2*n**2*(n - 1)
Factor 0 - 10/9*i - 2/9*i**2.
-2*i*(i + 5)/9
Let s(g) be the third derivative of 2*g**2 + 1/90*g**5 + 1/18*g**4 + 0 + 0*g + 0*g**3. Find x, given that s(x) = 0.
-2, 0
Factor 9/5*w**4 + 3/5*w**5 + 0*w + 3/5*w**2 + 0 + 9/5*w**3.
3*w**2*(w + 1)**3/5
Let s(x) be the third derivative of x**9/15120 - x**7/420 - x**6/90 + x**5/20 - 7*x**2. Let u(t) be the third derivative of s(t). Suppose u(m) = 0. Calculate m.
-1, 2
Let m(l) = l**3 + l**2 + l. Let j(q) = -3*q**4 - 24*q**3 - 15*q**2 - 12*q. Let v(d) = j(d) + 18*m(d). Factor v(n).
-3*n*(n - 1)*(n + 1)*(n + 2)
Let i = 36 - 34. Let f(o) be the second derivative of 0 - o + 5/24*o**4 + o**i - o**3. Factor f(r).
(r - 2)*(5*r - 2)/2
Let k(f) be the third derivative of 0 + 11/120*f**5 + 0*f - 1/24*f**4 - 4*f**2 + 0*f**3 + 1/60*f**7 - 1/15*f**6. Let k(z) = 0. Calculate z.
0, 2/7, 1
Let h(u) = 10*u**3 + 25*u**2 + 15*u. Let i(x) = x**3 + x**2 - x. Let m(j) = -h(j) + 5*i(j). Let m(s) = 0. Calculate s.
-2, 0
Let a(r) = -17*r**2 - 9*r + 8. Let p = 19 - 18. Let q(t) = -t**2 + 1. Let g(o) = p*a(o) - 6*q(o). Factor g(x).
-(x + 1)*(11*x - 2)
Let z(q) = q**3 + 11*q**2 + 7*q - 9. Let o be z(-7). Let x = 421/3 - o. Suppose s**2 + 2/3 - x*s**3 + 7/3*s - 5/3*s**4 = 0. What is s?
-1, -2/5, 1
Let b be 4 - (-300)/130 - 6. Factor -2/13*w**2 - b*w - 2/13.
-2*(w + 1)**2/13
Let p(k) = -4*k**4 - 2*k**3 + 12*k**2 - 14*k + 14. Let b(v) = -12*v**4 - 5*v**3 + 36*v**2 - 43*v + 41. Let j(h) = 6*b(h) - 17*p(h). Factor j(c).
-4*(c - 1)**3*(c + 2)
Let -2/7*f**2 + 4/7*f + 0 = 0. Calculate f.
0, 2
Let a(f) be the second derivative of f**6/60 + 3*f**5/40 + f**4/24 - f**3/4 - f**2/2 + 8*f. Solve a(z) = 0.
-2, -1, 1
Let z(t) = t**2 + 7. Let a be z(0). Suppose 5*c + q - 10 = 0, 4*q - a*q - 30 = -5*c. Solve -3/2*h + 1 + 1/2*h**c + 0*h**2 = 0.
-2, 1
Let a be 8/16 - 1/2. Let 13*u**3 + a*u**3 + 84*u**2 - 28*u**4 + 32*u - 5*u**3 - 16 = 0. What is u?
-1, 2/7, 2
Let p be 6/(-3*3/12). Let l = -6 - p. Factor 2*b**3 + 16*b + 13*b**2 + 2 - 3*b**l + 6.
2*(b + 1)*(b + 2)**2
Let v be 8/(-28) + 16/7. What is y in -6*y + 7*y**2 - 6*y**2 + 3*y**3 + 2*y**v = 0?
-2, 0, 1
Let t(y) be the first derivative of 3 + 4/3*y**3 + 0*y + 1/60*y**5 + 0*y**4 - 1/180*y**6 + 0*y**2. Let h(p) be the third derivative of t(p). Factor h(k).
-2*k*(k - 1)
Let m(p) = p - 1. Let y be m(3). Suppose -10*o**2 + 3*o + 6*o + 7*o**y = 0. Calculate o.
0, 3
Suppose 0 = -4*g + 5*c + 1 + 4, 0 = g + 3*c - 14. Factor g*u**2 - 4 - 4*u**2 + u**2 + 2*u.
2*(u - 1)*(u + 2)
Let l(n) be the second derivative of -n + 1/10*n**6 + 5/2*n**3 - 3/4*n**4 - 3/20*n**5 + 0 - 3*n**2. Factor l(f).
3*(f - 1)**3*(f + 2)
Let g(n) = -2*n**2 + 2*n + 4. Let d be g(3). Let w be (4/d)/(2/(-8)). Solve -2/5*z**5 + 4/5*z**3 + 0*z**4 + 0*z**w + 0 - 2/5*z = 0 for z.
-1, 0, 1
Let u(z) = 2*z**2 - 3*z. Let r be u(2). Suppose -4*g + 10 = -r*h, 2*h = g + 3*h - 1. Determine j so that -2/5*j**3 + 2/5*j**g + 0 + 0*j = 0.
0, 1
Let z(g) be the third derivative of g**6/240 + g**5/120 + 8*g**2. Let z(v) = 0. Calculate v.
-1, 0
Let k(w) be the first derivative of -4*w**3/3 + 32*w**2 - 256*w + 17. Find d, given that k(d) = 0.
8
Let v(g) be the second derivative of 0*g**2 - 7*g - 1/2*g**4 - 1/5*g**6 + 0 - 9/20*g**5 - 1/28*g**7 - 1/4*g**3. Factor v(j).
-3*j*(j + 1)**4/2
Let n(x) = x**2 + x - 2. Let l be n(2). Factor -2*d**l - 2*d**5 - 2*d**3 + 6*d**5 + 0*d**4.
2*d**3*(d - 1)*(2*d + 1)
Factor -5*n**5 + 12 - 21*n**3 - 53*n**4 + 14*n**5 + 38*n**4 + 63*n**2 + 4*n - 52*n.
3*(n - 1)**3*(n + 2)*(3*n - 2)
Let p(u) = u. Let g be p(6). Let b(j) = 3*j**2 + 2*j - 2. Let l(x) = -19*x**2 - 13*x + 13. Let z(v) = g*l(v) + 39*b