 2/3 + 2/3*w**4 + 4/3*w.
2*(w - 1)**3*(w + 1)/3
Suppose 0 = -4*b + 4*t - 4, 0 = 5*b - 4*b + 5*t - 5. Find d, given that 2/5*d**3 + b*d - 2/5*d**2 + 0 = 0.
0, 1
Let i(q) be the second derivative of 2/27*q**4 + 1/27*q**7 - 2/135*q**6 + 7/27*q**3 + 2*q + 0 - 7/45*q**5 - 2/9*q**2. Let i(k) = 0. Calculate k.
-1, 2/7, 1
Let h = 11 - 21. Let c be (-5 - 0)*4/h. Solve 5*s**5 + c*s**3 + 4*s - 9*s**3 - 2*s + 3*s**4 - 3*s**2 = 0 for s.
-1, 0, 2/5, 1
Let z(a) = 3*a**4 - 3*a**3 - 3*a**2 + 4*a. Let r(h) = -h. Let v(p) = r(p) + z(p). Factor v(m).
3*m*(m - 1)**2*(m + 1)
Let j be 11/33 - (-2)/(-6). Let u(m) be the first derivative of j*m + 1 + 2/3*m**3 + 6/25*m**5 - 7/10*m**4 - 1/5*m**2. Determine c so that u(c) = 0.
0, 1/3, 1
Let q(j) be the second derivative of 2*j**6/5 + 8*j**5/5 + j**4/3 - 16*j**3/3 - 8*j**2 - 7*j. Suppose q(f) = 0. Calculate f.
-2, -1, -2/3, 1
Let u(b) = -b**2 - 3*b. Let d be u(-3). Let n(s) be the first derivative of -2 + d*s - 1/2*s**2 + 1/3*s**3. Factor n(y).
y*(y - 1)
Let g(q) be the third derivative of 9*q**7/14 - 33*q**6/40 - 14*q**5/25 - q**4/10 + 15*q**2. Factor g(i).
3*i*(i - 1)*(15*i + 2)**2/5
Let x(h) be the first derivative of 1/6*h**4 - 6 + 0*h - 2/9*h**6 + 1/3*h**2 + 2/5*h**5 - 2/3*h**3. Find c, given that x(c) = 0.
-1, 0, 1/2, 1
Let y = -33 + 15. Let k be 9/y*2/(-3). Factor r**3 + r**2 + 0 + k*r**4 + 1/3*r.
r*(r + 1)**3/3
Let k(g) = -g**3 - g. Let u(c) = -5*c**3 - 22*c - 2. Let z(w) = w**2 - w + 1. Let n(a) = -u(a) + 6*z(a). Let j(o) = -12*k(o) - 3*n(o). Factor j(b).
-3*(b + 2)**3
Let l be (-6)/(9/(27/(-6))). Let g(d) = 5*d**2 - d. Let i be g(1). Factor 0 + 1/2*k**l - 1/2*k**2 - 1/2*k + 1/2*k**i.
k*(k - 1)*(k + 1)**2/2
Let f(z) = -8*z**5 + 8*z**4 + 20*z**3 - 20*z**2 - 12. Let w(y) = 3*y**5 - 3*y**4 - 8*y**3 + 8*y**2 + 5. Let x(g) = 5*f(g) + 12*w(g). Factor x(q).
-4*q**2*(q - 1)**2*(q + 1)
Let l(s) = -s**3 - 7*s**2 - 11*s - 28. Let q be l(-6). Factor 0 + 6/7*f**q + 6/7*f**3 + 2/7*f + 2/7*f**4.
2*f*(f + 1)**3/7
Let r = -51 - -154/3. Factor -1/6*o - 1/6*o**2 + r.
-(o - 1)*(o + 2)/6
Let g = -18 + 38. Let s be (4/3)/(g/6). Factor 6/5*r**2 + s + 6/5*r + 2/5*r**3.
2*(r + 1)**3/5
Suppose 2*g**2 - 316*g + 346*g + 3*g**2 - 5*g**3 = 0. What is g?
-2, 0, 3
Let r(w) be the third derivative of w**9/90720 - w**8/15120 + w**7/7560 + w**5/20 - 3*w**2. Let y(x) be the third derivative of r(x). Factor y(d).
2*d*(d - 1)**2/3
Let w(g) = -g**3 + g**2 - g. Let x(i) = 2*i**2 + 4*i**2 - i**2 - 4*i**3 - 3*i. Let k(d) = 3*w(d) - x(d). Factor k(j).
j**2*(j - 2)
Suppose 1/4*m**3 - 3/4*m**4 + 3/4*m**2 + 1/4*m + 0 - 1/2*m**5 = 0. What is m?
-1, -1/2, 0, 1
Let y be ((-156)/(-117))/(-1 - 5/(-2)). Factor -2/9 + y*m + 4/9*m**3 - 10/9*m**2.
2*(m - 1)**2*(2*m - 1)/9
Suppose -15 = -8*c + 5*c. Suppose 0 = -y + c*y - 12. Factor 5*x**3 - 4*x**2 - y*x**3 + 4*x**3 - 2*x.
2*x*(x - 1)*(3*x + 1)
Let q = 1/72498 - -7376603/4966113. Let n = q - -2/137. Factor -d**2 + n*d**4 + 1/2*d**5 + d**3 - 1/2 - 3/2*d.
(d - 1)*(d + 1)**4/2
Let m(v) be the first derivative of -5*v**3/3 - 10*v**2 - 20*v + 8. Determine u so that m(u) = 0.
-2
Let i be (16/3 - 3) + (-4)/12. Let d(s) be the third derivative of -1/12*s**4 - 2*s**i + 0 + 1/90*s**5 + 0*s + 2/9*s**3. Factor d(m).
2*(m - 2)*(m - 1)/3
Suppose c + c + 8 = 0. Let j(x) = x**2 + 3*x - 1. Let w be j(c). What is m in 5/3*m**w - 5/3*m - 4/3*m**4 + m**2 + 1/3 = 0?
-1, 1/4, 1
Suppose -a - 3*x + 11 = 0, -2*a = -3*a + x + 3. Let o be (a/10)/(2 + -1). What is q in 0 + 0*q + o*q**2 = 0?
0
Let l(m) = 13*m**4 + 3*m**3 - 13*m**2 - 13*m + 5. Let p(o) = -6*o**4 - 2*o**3 + 6*o**2 + 6*o - 2. Let q(t) = -2*l(t) - 5*p(t). Determine j so that q(j) = 0.
-1, 0, 1
Let s(d) be the first derivative of 5*d**4/4 + 5*d**3 + 15*d**2/2 + 5*d - 11. Factor s(y).
5*(y + 1)**3
Suppose s - v - 3 - 5 = 0, 2*s - 28 = 5*v. Suppose s*w = 3*w + 3. Factor 0 + 0*o + 0*o**2 + 2/7*o**w - 2/7*o**4.
-2*o**3*(o - 1)/7
Let r = 9 + -7. Let l be (r/4)/(7/4). Factor 0 + 0*j**3 + 4/7*j**4 + 2/7*j - l*j**5 - 4/7*j**2.
-2*j*(j - 1)**3*(j + 1)/7
Let f be 543/182 - (1 + 2). Let q = 1107/910 + f. Solve -4/5 + q*t - 2/5*t**2 = 0.
1, 2
Let s(v) = v**3 + 7*v**2 - 10*v - 12. Let t be s(-8). Let b(y) be the first derivative of 2 + 5/2*y**4 - 8*y**3 - t*y + 9*y**2. Find g such that b(g) = 0.
2/5, 1
Suppose 0 = -4*p + 3*p + 3. Factor 7*w**4 - 4*w**4 + 2*w**2 - w**3 + 6*w**p.
w**2*(w + 1)*(3*w + 2)
Determine l, given that 2/15*l**4 - 2/3*l**2 + 4/15*l + 0 + 2/5*l**3 - 2/15*l**5 = 0.
-2, 0, 1
Let w(d) = -d + 7. Let p be w(5). What is o in -2*o - 12*o**3 + 18*o**p - 14*o + 4*o + 3*o**4 + 3 = 0?
1
Let j(z) be the second derivative of 5*z**4/18 - z**3/9 - 40*z. Find o, given that j(o) = 0.
0, 1/5
Let p be ((-260)/(-25))/(2/49). Let d = -254 + p. Factor 0 - 2/5*u**4 - d*u**3 + 0*u - 2/5*u**2.
-2*u**2*(u + 1)**2/5
Let y(o) = -2*o**5 - 5*o**4 - 11*o**3 - 9*o - 9. Let i(v) = -v**4 - v**3 - v - 1. Let z(n) = 18*i(n) - 2*y(n). Factor z(p).
4*p**3*(p - 1)**2
Let m = -17 + 10. Let k(u) = -u**3 - 7*u**2 + u + 9. Let j be k(m). Factor -4*q**j + 6*q**2 + 0*q**2.
2*q**2
Let a = 2 + -7. Let l(m) = 2*m**3 + 4*m**2 - 9*m - 2. Let t(v) = 3*v**3 + 3*v**2 - 9*v - 3. Let h(q) = a*t(q) + 6*l(q). Determine s, given that h(s) = 0.
1
Let j be (-106)/840 - 3/(-21). Let t(k) be the third derivative of -1/24*k**4 - 3*k**2 + j*k**5 + 0 + 0*k**3 + 0*k. Find w such that t(w) = 0.
0, 1
Let z(q) be the second derivative of -3*q**5/20 - q**4/4 + 3*q. Find b, given that z(b) = 0.
-1, 0
Let b(u) be the first derivative of -1/24*u**6 + 0*u + 1/10*u**5 - 7 - 1/6*u**3 + 1/8*u**2 + 0*u**4. Solve b(o) = 0 for o.
-1, 0, 1
Let c(r) be the third derivative of r**8/1176 - r**7/245 + r**6/210 + r**5/105 - r**4/28 + r**3/21 - 14*r**2. Let c(o) = 0. Calculate o.
-1, 1
Let z(l) be the second derivative of -l**7/420 + l**6/180 - l**3/3 + l. Let s(c) be the second derivative of z(c). Solve s(j) = 0 for j.
0, 1
Let l(w) = -w**2 + 7*w - 4. Let o(v) = 3*v**2 - 22*v + 11. Let y(z) = -7*l(z) - 2*o(z). Factor y(n).
(n - 3)*(n - 2)
Suppose -2 = h - 2*h. Determine s so that -19/3*s**3 + 1/3*s - 37/6*s**4 + 1/6 - 2*s**5 - 2*s**h = 0.
-1, -1/3, 1/4
Find w such that -8*w - 12*w**2 + 0 + 5 - 5 - 4*w**3 = 0.
-2, -1, 0
Suppose 23*i = 22*i. Let h(p) be the second derivative of 3*p + i*p**2 + 1/20*p**5 - 1/6*p**4 + 0 + 1/6*p**3. Determine q so that h(q) = 0.
0, 1
Factor 4*s**3 + 734 + 4*s**4 - 16*s - 734 - 16*s**2.
4*s*(s - 2)*(s + 1)*(s + 2)
Let i(x) be the second derivative of x**4 + 2*x**3/3 + 20*x. Solve i(m) = 0 for m.
-1/3, 0
Factor -c**4 + 4*c**2 + 11*c**3 - c**4 - 13*c**3.
-2*c**2*(c - 1)*(c + 2)
Let d(s) be the third derivative of s**8/336 - s**7/105 - s**6/40 + s**5/15 + s**4/6 + 7*s**2. Determine r, given that d(r) = 0.
-1, 0, 2
Let m be (1 + 0 + 10)*-1. Let o(q) = q**4 + q**4 + 0*q**3 + 4*q**3. Let l(x) = x**5 + 11*x**4 + 21*x**3. Let s(p) = m*o(p) + 2*l(p). What is t in s(t) = 0?
-1, 0, 1
Let u be 14/4*(-4)/(-7). Suppose -4*m + 4*r - 12 = 0, -u*m - 5*r + 15 = -0*r. Suppose m + 4/3*n**3 + 0*n - 4/3*n**4 - 5*n**5 + 0*n**2 = 0. Calculate n.
-2/3, 0, 2/5
Suppose 136 = -7*x + 696. Let c be (x/18)/(2/3). Factor -2/3*i**5 - 20/3*i**3 - 2/3 - c*i**2 - 10/3*i - 10/3*i**4.
-2*(i + 1)**5/3
Let y be (-2)/3 - (-4)/6. Suppose -6 + y = -3*z. Factor -2*x**3 - 3*x**2 + z*x**5 + x**2 + 2*x**4 + 0*x**2.
2*x**2*(x - 1)*(x + 1)**2
Let w(h) be the second derivative of -h**5/30 - h**4/2 - 3*h**3 - h**2 + 4*h. Let y(c) be the first derivative of w(c). Factor y(r).
-2*(r + 3)**2
Suppose -g = -s - s + 7, 12 = 3*s - 3*g. Let o be (s/2)/(15/40). Solve 2*p - p - 2*p**2 + p**2 - 2*p**o - p**3 + 3*p**4 = 0.
-1, 0, 1
Determine q so that -4*q + 120*q**3 + 60*q**2 - 36*q - 84*q**4 + 116*q**4 - 12 = 0.
-3, -1, -1/4, 1/2
Let q(l) be the second derivative of -l**7/1260 - l**6/360 - l**4/12 + 3*l. Let s(k) be the third derivative of q(k). Factor s(t).
-2*t*(t + 1)
Solve 2/7*l**3 - 2/7*l + 4/7 - 4/7*l**2 = 0 for l.
-1, 1, 2
Let m(s) be the second derivative of 0*s**2 + 0*s**3 + 1/20*s**5 + 0 + 1/6*s**4 + 3*s. Suppose m(q) = 0. Calculate q.
-2, 0
Factor 16*z**2 - 24*z + 2*z**3 - 10*z + 6*z**3 + 6 + 12*z.
2*(z + 3)*(2*z - 1)**2
Suppose -6*u + 4*u = 0. Let o(h) be the third derivative of 2*h**2 + u*h**3 - 1/90*h**5 + 0 + 0*h + 0*h**4. Factor o(g).
-2*g**2/3
Let h(b) be the first derivati