*5 - 1/126*a**7 - 1/18*a**3 + 2/45*a**6 + 0*a + 0 + 1/9*a**4 - 4*a**2. Factor f(h).
-(h - 1)**3*(5*h - 1)/3
Suppose -7*q - 346 = 242. Let w = 423/5 + q. Find d such that w*d**3 - 1/5*d**4 + 0 + 1/5*d - 3/5*d**2 = 0.
0, 1
Let k = -1 + 2. Let y(i) = -5*i**3 + 3*i**2 - 2. Let g(a) = -a - 1. Suppose 2 = -3*v - 4. Let u(l) = k*y(l) + v*g(l). Suppose u(p) = 0. Calculate p.
-2/5, 0, 1
Suppose 15 = 3*l - 3*c, 4*l + 5*c - 7*c - 14 = 0. Factor d**l - 1/2*d**3 + 0*d + 0.
-d**2*(d - 2)/2
Let v = 2758/9 - 2726/9. Let c be (0 - (-3 - (-100)/36)) + 0. Let -8/3*t**5 + c*t**2 + 0 + v*t**4 + 0*t - 14/9*t**3 = 0. Calculate t.
0, 1/3, 1/2
Let z be 0*1/(3 + -2). Let t(p) = -p**3 - p**2 + 2. Let q be t(z). Determine h so that -h**2 + h**3 + 5*h**2 - 4*h + q*h - 3*h**3 = 0.
0, 1
Let c = -2/129 - -88/129. Let f = -23/12 - -13/4. Factor -f - c*w**2 - 2*w.
-2*(w + 1)*(w + 2)/3
Let z(o) be the second derivative of -1/165*o**6 - 1/66*o**4 + 0*o**2 - 2*o + 1/55*o**5 + 0*o**3 + 0. Factor z(p).
-2*p**2*(p - 1)**2/11
Suppose 7*h - 3 = 6*h. Let w be ((-4)/(-5))/(6/15). Factor 9/2*c**w - 3*c**h + 3/4*c**4 + 3/4 - 3*c.
3*(c - 1)**4/4
Let s(j) be the third derivative of -j**8/7560 - j**7/756 - 2*j**6/405 - j**5/135 - j**3/3 + 5*j**2. Let g(z) be the first derivative of s(z). Factor g(q).
-2*q*(q + 1)*(q + 2)**2/9
Let m(x) be the first derivative of -x**8/3360 + x**7/420 - x**6/120 + x**5/60 - x**4/48 - 5*x**3/3 + 4. Let p(v) be the third derivative of m(v). Factor p(h).
-(h - 1)**4/2
Let y(n) be the second derivative of -1/12*n**3 + 0 + 0*n**4 + 1/40*n**5 - 1/120*n**6 + 1/8*n**2 + 5*n. Suppose y(w) = 0. What is w?
-1, 1
Let w = -23 + 23. Let x(o) be the third derivative of 2*o**2 + 1/30*o**5 + 0*o**3 + 0 + w*o + 0*o**6 - 1/105*o**7 + 0*o**4. Factor x(p).
-2*p**2*(p - 1)*(p + 1)
Let x(d) = 5*d**4 + 60*d**3 - 84*d**2 + 36*d. Let t(h) = h**4 + 10*h**3 - 14*h**2 + 6*h. Let z(b) = -34*t(b) + 6*x(b). Factor z(a).
-4*a*(a - 3)*(a - 1)**2
Let j(o) = -o**4 - 8*o**3 + 13*o**2 - 4*o. Let z(i) = i**3 - i**2. Let w(n) = -5*j(n) - 30*z(n). Factor w(y).
5*y*(y - 1)**2*(y + 4)
Let t(k) be the first derivative of -1058*k**3/39 + 92*k**2/13 - 8*k/13 + 21. Let t(m) = 0. Calculate m.
2/23
Factor -130*n + 0*n**2 - 2*n**2 + 122*n.
-2*n*(n + 4)
Suppose -4 = -4*w + 4. Factor w - 3*s**2 + s**2 + 3 - 6*s - 9.
-2*(s + 1)*(s + 2)
Let i(k) = k**2 + k. Let r(w) = -w**4 - 3*w**3 - 3*w**2 - w. Let y = 2 + -3. Let d(u) = y*r(u) - i(u). Determine q, given that d(q) = 0.
-2, -1, 0
Let a be -2 + (-198)/(-27)*(-3)/(-10). Find q such that -a*q**2 + 0 - 1/5*q = 0.
-1, 0
Suppose 0 = -20*v - 20 + 60. Factor 6*d**v + 4*d + 2/3 + 8/3*d**3.
2*(d + 1)**2*(4*d + 1)/3
Let t(l) = -13*l**5 - 26*l**4 - 18*l**3 - 3*l**2. Let d(q) = q**5 - q**4. Let o = -6 + 7. Let h(c) = o*d(c) + t(c). Factor h(z).
-3*z**2*(z + 1)**2*(4*z + 1)
Let l be 2/1 - (-4592)/(-3835). Let u = -2/767 + l. Let u*c - 2/5 - 2/5*c**2 = 0. Calculate c.
1
Let w(q) be the third derivative of q**6/240 + q**5/120 - q**4/48 - q**3/12 + 5*q**2. Factor w(n).
(n - 1)*(n + 1)**2/2
Let l = 39366/3515 + 2/3515. Let j = -494/45 + l. Factor 2/9*g**2 - 4/9*g + j.
2*(g - 1)**2/9
Let i(u) = -u**3 + 5*u**2 - 4*u. Let z be i(4). Let w be -3 - (z - (-48)/(-15)). What is n in -1/5*n**3 - 3/5*n + 3/5*n**2 + w = 0?
1
Let -16*d**3 + 2*d**4 - 4*d**4 + 16*d**3 = 0. Calculate d.
0
Let a(o) be the first derivative of -4 + 1/11*o**4 - 10/33*o**3 - 2/11*o + 4/11*o**2. Suppose a(k) = 0. What is k?
1/2, 1
Let l(z) = -37*z - 35. Let y be l(-1). Suppose 2/5*r + 0 + 1/5*r**y = 0. Calculate r.
-2, 0
Let d(v) be the first derivative of v**8/840 - v**7/840 - v**6/120 + v**5/120 + v**4/24 - v**3 + 3. Let k(i) be the third derivative of d(i). Factor k(j).
(j - 1)**2*(j + 1)*(2*j + 1)
Let i(a) be the second derivative of -1/15*a**3 - 2*a + 0 + 1/30*a**4 - 2/5*a**2. Factor i(y).
2*(y - 2)*(y + 1)/5
Let n = 21 + -16. Solve 4*q**n + 5*q - 5*q**3 - q**3 - q - 2*q**3 = 0 for q.
-1, 0, 1
Suppose 4*r - 10 = -2. Factor 6*m**3 - 12*m**3 + r*m**5 + m**5 + 3*m**4.
3*m**3*(m - 1)*(m + 2)
Suppose -2/9*n + 1/9*n**2 + 0 = 0. Calculate n.
0, 2
Let v(q) be the second derivative of 1/6*q**4 - 2*q + 1/5*q**6 - 3/10*q**5 - 1/21*q**7 + 0 + 0*q**3 + 0*q**2. Factor v(i).
-2*i**2*(i - 1)**3
Suppose 0*u - 3 = -3*u, -4*u = -3*a + 17. Let c = a + -5. Solve -2*g + 2*g**c + 4*g**4 - 7*g**3 + 0*g + 3*g = 0.
-1/4, 0, 1
Solve -3/2*g**2 + 3/4*g + 3/2 - 3/4*g**3 = 0 for g.
-2, -1, 1
Let x(c) be the third derivative of c**6/480 + 7*c**5/240 + 5*c**4/32 + 3*c**3/8 + 13*c**2. Suppose x(g) = 0. Calculate g.
-3, -1
Let j(a) be the second derivative of -a**6/120 + a**5/15 - 5*a**4/24 + a**3/3 - a**2/2 + 2*a. Let p(n) be the first derivative of j(n). Factor p(u).
-(u - 2)*(u - 1)**2
Let m(k) be the first derivative of -k**3 + 12*k**2 + 7. Factor m(d).
-3*d*(d - 8)
Let k(h) = 4*h**3 - 3*h**2 - 7*h + 2. Let v(x) = 8*x**3 - 5*x**2 - 14*x + 4. Let j(b) = -5*k(b) + 2*v(b). Factor j(u).
-(u - 2)*(u + 1)*(4*u - 1)
Let n(y) be the first derivative of y**5/20 - y**4/16 - y**3/4 + 5*y**2/8 - y/2 - 50. Suppose n(r) = 0. What is r?
-2, 1
Let w be 1/(-2) - (-3)/(-6). Let k be (w + 4)/3 - -2. Factor 3*y**3 - 4*y**k + 2 - 3*y**2 + 2*y**2 - 1 + y.
-(y - 1)*(y + 1)**2
Suppose 6*b**3 - 77*b**2 - 76*b**2 - 14739 - 9*b**3 - 2601*b = 0. Calculate b.
-17
Let i(w) be the third derivative of -w**5/90 - w**4/27 - w**3/27 - w**2. Determine j, given that i(j) = 0.
-1, -1/3
Suppose -4*i + 14 = -2*f, 5*i = -5*f - 6 + 1. Suppose -3*k**5 + 2*k**i + 5*k**3 - k**3 - 2*k + k - 2*k**4 = 0. What is k?
-1, 0, 1/3, 1
Let x(c) be the third derivative of 2*c**7/105 + c**6/5 - c**5 + 4*c**4/3 + 20*c**2. Let x(f) = 0. Calculate f.
-8, 0, 1
Let n(k) = -3*k**4 - 21*k**3 - 18*k**2 - 4. Let z(l) = 12*l**4 + 84*l**3 + 72*l**2 + 15. Let r(f) = 15*n(f) + 4*z(f). Let r(j) = 0. What is j?
-6, -1, 0
Let q be 2/(-8)*1/(-73). Let r = q - -1163/1460. Factor -2/5*f**2 + 6/5*f**4 + 0 - r*f + 8/5*f**3.
2*f*(f + 1)**2*(3*f - 2)/5
Let h(y) be the third derivative of y**8/6720 + y**7/1260 - y**6/180 - y**5/12 - 5*y**2. Let v(u) be the third derivative of h(u). Factor v(z).
(z + 2)*(3*z - 2)
Suppose -i + 7 = b, 5*i + 3*b + b - 32 = 0. Find z such that 4/7 + 2/7*z + 2/7*z**i - 6/7*z**2 - 2/7*z**3 = 0.
-1, 1, 2
Suppose -4*w = -0*w - 3*w. Factor 1/2*b**5 + w*b**2 + 0 - b**4 + 1/2*b**3 + 0*b.
b**3*(b - 1)**2/2
Let m = 4 - 2. Suppose m*p = -p + 6. Factor -1/2 + 1/4*y**p + 1/4*y.
(y - 1)*(y + 2)/4
Let g(b) be the third derivative of b**7/12600 - b**5/600 + b**4/8 + b**2. Let l(k) be the second derivative of g(k). Factor l(i).
(i - 1)*(i + 1)/5
Solve 5*o**3 - 5*o**5 + 5*o**2 - 35*o**4 + 3*o + 30*o**4 - 3*o = 0.
-1, 0, 1
Let c(n) be the third derivative of -n**4/12 - n**3/3 + 3*n**2. Let i be c(-2). Factor -i*j**2 - 2*j**3 - j + 5*j + 0*j.
-2*j*(j - 1)*(j + 2)
Let t(q) = -q**3 + 7*q**2 - q + 8. Let w be t(7). Factor 2 + 2*y**2 - 3 + w.
2*y**2
Let t be -46*4/40 - (0 - 5). Let 0 + t*w - 2/5*w**2 = 0. What is w?
0, 1
Let w(y) = 30*y - 2. Let l(n) = n**2 + 32*n - 3. Let k(b) = -4*l(b) + 6*w(b). Suppose k(h) = 0. Calculate h.
0, 13
Let k be (-3)/6*(-1)/5. Let q(j) be the first derivative of 0*j**4 - 1/6*j**3 + 0*j + 2 + 1/8*j**2 + k*j**5 - 1/24*j**6. What is v in q(v) = 0?
-1, 0, 1
Let z(q) = q**2 + 3*q - 7. Suppose 5*k - 2*u = 2*k - 7, -4*k - 16 = -u. Let b be z(k). Suppose 0*y + 0*y**2 + 0 - 2/5*y**5 + 0*y**4 + 2/5*y**b = 0. Calculate y.
-1, 0, 1
Let g(n) be the second derivative of -5*n**7/168 + 7*n**6/120 - n**5/40 - 41*n. Factor g(v).
-v**3*(v - 1)*(5*v - 2)/4
Let r(c) be the first derivative of c**3/3 - 4*c - 6. Factor r(z).
(z - 2)*(z + 2)
Suppose -j - 5*s = 12, 5*j + 2*s = 3*s + 18. Factor 6*a**2 - a + 4*a**4 + j*a**3 - 8*a**3 - 4*a**3.
a*(a - 1)**2*(4*a - 1)
Let n = 63187/6 + -10471. Let g = n - 111/2. Factor 2*o**2 + 4/3 - g*o.
2*(o - 2)*(3*o - 1)/3
Let w be (0 - 15/(-5))*(-2)/(-24). Let -1/4*c + 0 + w*c**2 = 0. What is c?
0, 1
Let g(y) = 9*y**2 + 2*y - 1. Let v(l) = -4*l**2 - l. Let f(u) = 3*g(u) + 7*v(u). Let j(t) = t**2 + 2*t + 3. Let i(k) = 2*f(k) + 3*j(k). Factor i(s).
(s + 1)*(s + 3)
Let s(p) be the second derivative of -p**5/100 - p**4/40 + p**2 - 3*p. Let q(o) be the first derivative of s(o). Factor q(b).
-3*b*(b + 1)/5
Suppose -4 + 16*n**2 + 46/5*n + 14/5*n**3 = 0. Calculate n.
-5, -1, 2/7
