**4 - 2*w**5 + 3*w + 0*w**4 - j*w = 0.
0, 1
Let g(k) = -16*k**4 - 50*k**3 - 26*k**2 - 2*k + 2. Let s(q) = -q**4 + q**3 - q - 1. Let h(j) = g(j) + 2*s(j). Factor h(r).
-2*r*(r + 2)*(3*r + 1)**2
Let i(h) be the first derivative of -18*h**5/115 + 21*h**4/23 - 50*h**3/69 + 4*h**2/23 - 6. Factor i(m).
-2*m*(m - 4)*(3*m - 1)**2/23
Let n = -1 - -9. Let x be 1*(n/6 - 1). What is m in x*m + 2/3*m**2 + 1/3*m**3 + 0 = 0?
-1, 0
Let g be 14/8 - 2/8. Determine d, given that -1/2*d**4 + 0*d**2 - g*d**3 + 2*d + 0 = 0.
-2, 0, 1
Let k be (8/30)/(((-21)/(-35))/3). Determine a so that 2/3*a - 2/3 + k*a**2 = 0.
-1, 1/2
Let l(n) = 1945*n**3 - 4320*n**2 + 1015*n - 85. Let w(m) = 324*m**3 - 720*m**2 + 169*m - 14. Let c(h) = 4*l(h) - 25*w(h). Find v such that c(v) = 0.
1/8, 2
Let t be 3 - 6/(3/(-1)). Suppose 2*n = -5*j + 5, -t*n - 4 = -4*j - 0*j. Let 0*x + n*x**3 + 0*x**2 + 0 + 0*x**4 + 2/5*x**5 = 0. Calculate x.
0
Let z be 30/(-20)*16/(-6). Let s(w) be the first derivative of 0*w - 2*w**3 - 1 - w**2 - 2/5*w**5 - 3/2*w**z. Find l, given that s(l) = 0.
-1, 0
Let k(j) be the third derivative of j**7/945 + j**6/180 + j**5/90 + j**4/108 - 14*j**2. Solve k(f) = 0 for f.
-1, 0
Let t(v) = -v**4 - v**3. Let o(k) = -9*k**3 - 15*k**2 - 6*k. Let f be (-4)/3*18/(-8). Let z(c) = f*t(c) + o(c). Solve z(r) = 0.
-2, -1, 0
Let l be (-2372)/(-143) + -12 + (-4)/(-22). Suppose 70/13*k**5 + 0 - 16/13*k**3 + 8/13*k**2 - l*k**4 + 0*k = 0. Calculate k.
-2/5, 0, 2/7, 1
Let g(p) be the first derivative of p**6/1080 - p**4/72 - 8*p**3/3 - 4. Let u(y) be the third derivative of g(y). Factor u(i).
(i - 1)*(i + 1)/3
Let q(z) be the third derivative of 0 + 0*z + 1/20*z**6 - 1/12*z**4 + 0*z**5 - 4*z**2 - 2/105*z**7 + 0*z**3. Factor q(c).
-2*c*(c - 1)**2*(2*c + 1)
Suppose -8*v = 1 - 1. Let j(h) be the third derivative of 2*h**2 + 0 + v*h**3 + 0*h + 1/60*h**5 + 0*h**4. Suppose j(g) = 0. Calculate g.
0
Let b(c) be the second derivative of 1/18*c**4 + 0 - 1/3*c**2 - 1/30*c**5 + 1/9*c**3 - 2*c. Determine g so that b(g) = 0.
-1, 1
Suppose 0 = -w - m, -3*m - 17 - 1 = -3*w. Let l(r) be the second derivative of 4*r + 0 + 11/16*r**4 - 17/24*r**w + 1/4*r**2. Factor l(y).
(3*y - 1)*(11*y - 2)/4
Suppose 0 = 2*m + 2*m - 12. Let r be 4/(1*6/m). Let -z - 2 + 7*z**2 + z**2 - 6*z**r + z**3 = 0. Calculate z.
-2, -1, 1
Suppose -3*m = -2 - 4. Solve 0*o**2 - 5*o - m*o + 2*o**2 + 3*o = 0 for o.
0, 2
Let f(s) be the third derivative of 3*s**2 + 0*s**3 + 0*s + 0 + 1/330*s**5 + 1/132*s**4. Factor f(o).
2*o*(o + 1)/11
Let m(o) = -6*o**3 + 16*o**2 - 2*o + 36. Let u(g) = g**3 - g**2 - 2. Let w(p) = 2*m(p) + 36*u(p). Determine y, given that w(y) = 0.
-1/3, 0, 1/2
Let j(o) be the first derivative of -o**6/4 + 3*o**5/2 - 3*o**4 + 2*o**3 - 9. Factor j(x).
-3*x**2*(x - 2)**2*(x - 1)/2
Let j(z) be the second derivative of -z**4/6 - 7*z**3/3 - 10*z**2 + 24*z. Factor j(k).
-2*(k + 2)*(k + 5)
Determine k so that -76*k + 784 + 35*k**2 - 31*k**2 + 188*k = 0.
-14
Let x = 7 + -4. Let r be (4/(-4))/3*-6. Find m such that 2*m**4 - 2*m + 2*m**x + r*m = 0.
-1, 0
Factor -33*q**3 - 15*q**2 - 75*q**3 - 90*q**4 - 9*q**2 + 75*q**5.
3*q**2*(q - 2)*(5*q + 2)**2
Let d = 26/21 + -20/21. Suppose -21*a + 28*a = 14. What is t in 4/7*t**3 - 2/7*t**5 + d - 2/7*t + 2/7*t**4 - 4/7*t**a = 0?
-1, 1
Suppose -4*y + 15 - 3 = 0. Factor -3 - 2*z - 7*z - 3 - y*z**5 + 12*z**3 + z**2 + 5*z**2.
-3*(z - 2)*(z - 1)*(z + 1)**3
Let n(k) = k**2 + 1. Let o(w) = 4*w**4 - 4*w**3 - 12*w**2 - 4. Let i(f) = 4*n(f) + o(f). Factor i(s).
4*s**2*(s - 2)*(s + 1)
Let r = 2 - -1. Factor -4*n**3 + n**2 + 2*n**4 - 3*n**2 + 4*n**r.
2*n**2*(n - 1)*(n + 1)
Let n(g) be the second derivative of g**6/10 - 3*g**5/20 - 3*g**4/4 + g**3/2 + 3*g**2 + 5*g. Let n(u) = 0. Calculate u.
-1, 1, 2
Let d be 6/(-16) - (932/(-96) + 9). Factor 1/3*u**2 - 2/3 - d*u.
(u - 2)*(u + 1)/3
Suppose y + 3*o = 6 - 1, 5*y + o - 25 = 0. Factor 6*n**4 + 2 - 4*n**4 + 3*n**2 - 4*n**3 - 7*n**2 + 2*n + 2*n**y.
2*(n - 1)**2*(n + 1)**3
Let t(q) be the second derivative of -7*q**5/90 + 11*q**4/54 - q**3/27 - q**2/3 - 26*q. Factor t(s).
-2*(s - 1)**2*(7*s + 3)/9
Let d(f) = -5*f**2 + 5*f. Let r(s) = 4*s**2 - 6*s. Let q(l) = -2*d(l) - 3*r(l). Find b such that q(b) = 0.
0, 4
Let n = -266 + 266. Factor 4/15*r**2 + n*r + 0 - 2/15*r**3.
-2*r**2*(r - 2)/15
Let w = -4 + 6. Let q = -260 - -260. Determine f so that -2/5*f**3 - 2/5*f + q + 4/5*f**w = 0.
0, 1
Suppose 3*t**3 + 14*t**3 - 2*t**2 - 2*t - 13*t**3 = 0. Calculate t.
-1/2, 0, 1
Let y = 7/2 - 10/3. Let d(l) be the second derivative of -2/15*l**3 + 0*l**2 + 2*l - y*l**4 + 0. Factor d(a).
-2*a*(5*a + 2)/5
Suppose 0 + 0*m + 36/7*m**2 + 24/7*m**3 + 4/7*m**4 = 0. Calculate m.
-3, 0
Let b(k) = -k**2 - k + 4. Let o be b(0). Find m such that -2*m**5 - 2 - 2*m + 4*m**2 - 11*m**3 + 0*m - 2*m**o + 15*m**3 = 0.
-1, 1
Let p(z) be the first derivative of -z**6/9 - 8*z**5/15 - 5*z**4/6 - 4*z**3/9 - 2. Find b, given that p(b) = 0.
-2, -1, 0
Let d = 592/5 + -118. Factor -d*k**3 + 2/5*k + 0*k**2 + 0.
-2*k*(k - 1)*(k + 1)/5
Let i(u) be the second derivative of -u**7/840 + u**5/240 + u**2 - 2*u. Let o(z) be the first derivative of i(z). Suppose o(k) = 0. What is k?
-1, 0, 1
Let q(u) = -3*u**4 + 9*u**3 - 3*u**2 - 5*u. Let x(y) = 2*y**4 - 8*y**3 + 2*y**2 + 4*y. Let i be (-2)/(-4)*(-11 + 1). Let l(p) = i*x(p) - 4*q(p). Factor l(o).
2*o**2*(o + 1)**2
Factor 4 - 20*c**2 - 19 - 25*c + 5 - 5*c**3.
-5*(c + 1)**2*(c + 2)
Find w such that 32/3*w - 10/3 - 19/2*w**2 + 3/2*w**3 = 0.
2/3, 5
Let d(p) be the second derivative of -p**8/1120 - p**7/280 + p**5/40 + p**4/16 + p**3/3 + 3*p. Let u(s) be the second derivative of d(s). Factor u(h).
-3*(h - 1)*(h + 1)**3/2
Let s(j) = -5*j**2 + j. Let o(w) = 36*w**2 - 6*w. Let p(i) = 2*o(i) + 15*s(i). Find h such that p(h) = 0.
0, 1
Let j(r) be the first derivative of -r**4/4 - r**3 - r**2 - 12. Factor j(z).
-z*(z + 1)*(z + 2)
Suppose 6*o = 4*o. Let a(j) be the second derivative of -1/3*j**3 - 1/2*j**4 + 2*j**2 - j + o. Factor a(d).
-2*(d + 1)*(3*d - 2)
Let z(l) be the third derivative of -l**8/80640 + l**5/30 + 6*l**2. Let s(t) be the third derivative of z(t). Factor s(g).
-g**2/4
Find g such that -5 + 7 + 0 - g**4 - g**2 + 3*g - 3*g**3 = 0.
-2, -1, 1
Let t(g) be the first derivative of -g**5/60 + g**4/24 - g**2 - 2. Let m(o) be the second derivative of t(o). Solve m(w) = 0.
0, 1
Let r(x) be the first derivative of 0*x + 1/180*x**6 - x**3 + 0*x**2 + 1 + 1/12*x**4 + 1/30*x**5. Let c(h) be the third derivative of r(h). Factor c(u).
2*(u + 1)**2
Let u(d) be the third derivative of d**8/35280 - d**7/4410 + d**5/60 + 6*d**2. Let w(z) be the third derivative of u(z). Factor w(m).
4*m*(m - 2)/7
Factor -5*k + 5*k**3 - 13 - 15*k**2 + 16 + 7 + 5*k**4.
5*(k - 1)**2*(k + 1)*(k + 2)
Suppose 0*g - 2/5*g**4 + 4/5*g**2 + 2/5*g**3 + 0 = 0. Calculate g.
-1, 0, 2
Let r(d) = d + 7. Let w be r(-4). Find t such that t**w - t**3 - 3*t**2 - 3*t**2 + t**3 + 9*t = 0.
0, 3
Let n be (-3 - 0) + (-14)/(-4). Let p = -7 - -7. Factor 0*v**2 + n*v**4 + p*v**3 + 1/2*v**5 + 0 + 0*v.
v**4*(v + 1)/2
Let a(q) = q**2 - q. Let s(j) = -4*j**2 + 20*j - 16. Let b(w) = 6*a(w) + s(w). Factor b(p).
2*(p - 1)*(p + 8)
Find d, given that -2/21*d**5 - 2/21*d**2 + 0*d + 0 + 2/21*d**4 + 2/21*d**3 = 0.
-1, 0, 1
Factor 2/17*i**2 + 18/17 + 12/17*i.
2*(i + 3)**2/17
Let x = -2 - -5. Let w(g) be the first derivative of 0*g - 1/9*g**3 + x + 0*g**2. What is k in w(k) = 0?
0
Suppose 0 = 8*l - 3*l - 20. Let l*r**2 - r**3 - r + 10*r**2 - 16*r**2 = 0. Calculate r.
-1, 0
Let x(o) = -o**4 - o**3 - o**2 + o. Let t(d) = -3*d**2 - 3*d**3 + d**5 + 0*d**2 + d + d + 2*d**4 - 3*d**4. Let y(q) = -3*t(q) + 6*x(q). Solve y(c) = 0 for c.
-1, 0, 1
Let p(k) be the first derivative of k**6/180 - k**5/30 + k**4/12 - 2*k**3/3 - 3. Let o(x) be the third derivative of p(x). Factor o(h).
2*(h - 1)**2
Let l(y) = 2*y**2 - 5. Let w(s) = 2 + 0 - 3*s**2 - 3. Let u(j) = -2*j**2. Let v(x) = -10*u(x) + 6*w(x). Let f(o) = -6*l(o) + 5*v(o). Solve f(a) = 0.
0
Let b(p) be the first derivative of 2*p**3/27 - 2*p**2/9 + 2*p/9 + 31. Factor b(r).
2*(r - 1)**2/9
Let v(r) be the third derivative of 3/112*r**8 + 0*r - 1/10*r**5 - 4*r**2 + 0 - 4/35*r**7 + 0*r**3 + 7/40*r**6 + 0*r**4. Factor v(s).
3*s**2*(s - 1)**2*(3*s - 2)
Suppose -2*t = -5*m + 27, 19 = 7*m - 2*m - 4*t. Suppose 