 3*r - r.
r*(r - 1)**2*(r + 2)
Let x be (-272)/51*(-1)/((-14)/(-6)). Factor x + 16/7*y + 4/7*y**2.
4*(y + 2)**2/7
Determine i so that 0*i**4 - 6*i**2 + 77 - 77 + 8*i**3 - 36*i + 2*i**4 = 0.
-3, 0, 2
Suppose 0*k**2 - 11*k**2 + 8*k**2 + 0*k**2 + 3*k = 0. Calculate k.
0, 1
Let w(d) be the first derivative of -4/3*d**3 + 0*d - 6*d**2 - 4. Factor w(s).
-4*s*(s + 3)
Let i be 10 - (-1 - (2 + -1)). Let o = -8 + i. Suppose 2/3*l**2 + 0*l - 2/3*l**o - 2/3*l**3 + 0 + 2/3*l**5 = 0. Calculate l.
-1, 0, 1
Let -9/4*w - 1/4*w**2 + 0 = 0. Calculate w.
-9, 0
Suppose -2*n + 9 = 3*y, -5*y + y + 12 = -4*n. Let x(g) be the second derivative of 0*g**5 + 1/60*g**6 - 1/24*g**4 + 0*g**2 + n + 0*g**3 + 2*g. Factor x(c).
c**2*(c - 1)*(c + 1)/2
Let j(c) = -4*c**3 - 3*c**2 - c. Let r(t) = -21*t**3 - 16*t**2 - 6*t. Let u(y) = -11*j(y) + 2*r(y). Factor u(d).
d*(d + 1)*(2*d - 1)
Suppose 0 = 3*k + 3*k - 30. Let m(g) be the first derivative of -1/3*g**4 + 2/3*g**2 + 2/15*g**k + 0*g**3 - 3 - 2/3*g. Factor m(t).
2*(t - 1)**3*(t + 1)/3
Let m = 0 - -1. Factor 3*q**2 - m + 3 - 5*q**2.
-2*(q - 1)*(q + 1)
Let i(r) be the second derivative of 7/60*r**5 + 0*r**2 + 0 - 5/36*r**4 - 1/9*r**3 + 8*r. What is n in i(n) = 0?
-2/7, 0, 1
Let o(m) be the third derivative of -m**9/30240 - m**8/10080 + m**7/2520 + m**6/360 + m**5/30 + m**2. Let z(a) be the third derivative of o(a). Solve z(d) = 0.
-1, 1
Let -486/11*u - 1458/11 - 54/11*u**2 - 2/11*u**3 = 0. What is u?
-9
Let n(c) = -4*c**3 - 28*c**2 - 67*c - 51. Let y(m) = 12*m**3 + 84*m**2 + 200*m + 152. Let u(g) = -8*n(g) - 3*y(g). Determine f, given that u(f) = 0.
-3, -2
Let r(l) be the third derivative of 9*l**7/70 + 3*l**6/20 + l**5/20 - 23*l**2. Solve r(p) = 0.
-1/3, 0
Suppose -44*k + 77 = -11. Factor 0*g + 0 + 0*g**k + 1/3*g**3 + 1/3*g**4.
g**3*(g + 1)/3
Let t(o) be the third derivative of o**9/45360 - o**8/10080 - o**4/8 + 2*o**2. Let s(p) be the second derivative of t(p). Factor s(y).
y**3*(y - 2)/3
Suppose 6 = 3*a - 0. Let j be 3/(-2) - (-21)/6. Factor -p**2 + a*p**2 - p**j - p**2 - 1 - 2*p.
-(p + 1)**2
Let i = -18 - -22. Find s such that -i + 0*s - 4*s**2 - 12*s - 5 + 1 = 0.
-2, -1
Suppose 0 = 3*i + i - 8. Determine f so that 10 - 10 - i*f**3 - 2*f**4 = 0.
-1, 0
Let d(o) = 3*o + 31. Let z(x) = -x - 10. Let p(q) = 4*d(q) + 14*z(q). Let i be p(-8). Solve 2/7*j**2 + i - 6/7*j**4 + 4/7*j**3 + 0*j = 0 for j.
-1/3, 0, 1
Let j be 2/15 - 588/(-990). Factor -j*q**2 + 2/11 + 6/11*q.
-2*(q - 1)*(4*q + 1)/11
Suppose 3*v + 0*v - 273 = -3*c, -v - 4*c = -85. Let z = -463/5 + v. Suppose 0 + 4/5*u**3 - z*u**2 - 2/5*u**4 + 0*u = 0. What is u?
0, 1
Factor 4/5 - 2*b + 8/5*b**2 - 2/5*b**3.
-2*(b - 2)*(b - 1)**2/5
Let g(a) be the first derivative of -a**6/90 - a**5/10 - 4*a**3/3 + 1. Let r(f) be the third derivative of g(f). What is t in r(t) = 0?
-3, 0
Suppose -2*i - 30 = -5*f - 6*i, f - 3*i + 13 = 0. Suppose 6/5*u**f - 3/5 - 8/5*u**3 - 3/5*u**4 + 8/5*u = 0. What is u?
-3, -1, 1/3, 1
Factor -8/7*r + 0 - 12/7*r**4 - 26/7*r**3 - 2/7*r**5 - 24/7*r**2.
-2*r*(r + 1)**2*(r + 2)**2/7
Let v be (4/24)/((-9)/(-12)). Let t(l) be the first derivative of -2 - v*l**3 + 1/3*l**2 + 0*l - 1/6*l**4 + 2/15*l**5. Find f such that t(f) = 0.
-1, 0, 1
Suppose 2*j - 10 = -3*j. Let c(y) be the first derivative of 2 + 3*y**2 + 1/2*y**4 - j*y**3 - 2*y. Determine r, given that c(r) = 0.
1
Let t(r) be the first derivative of 0*r**2 - 2*r + 1/9*r**3 + 1/18*r**4 - 1. Let c(w) be the first derivative of t(w). Factor c(g).
2*g*(g + 1)/3
Let j(c) = -c**2 - c - 1. Let s(l) = -l + 3*l + 4*l**2 + 3 + 0*l. Let u(g) = -3*j(g) - s(g). What is h in u(h) = 0?
0, 1
Let r = 515 - 513. Solve 12/5*g**4 - 18/5*g + 32/5*g**r - 28/5*g**3 - 2/5*g**5 + 4/5 = 0 for g.
1, 2
Let q = 7 - 7. Solve q - 2 + 2*p**2 - 8*p**3 - 8*p + 16*p**3 = 0 for p.
-1, -1/4, 1
Let y = 12 + -10. Determine t, given that 5 - 3 + 4*t - 12*t**y + 0*t**2 - 2*t = 0.
-1/3, 1/2
Let 10*r - 62 + 125 - 34*r + 3*r**2 - 3*r**4 - 3*r**5 + 15*r**3 - 51 = 0. Calculate r.
-2, 1
Let z(v) be the third derivative of -1/21*v**7 + 5/12*v**4 + 1/6*v**6 + 5*v**2 - 1/3*v**5 + 1/168*v**8 + 0*v + 0 - 1/3*v**3. Factor z(b).
2*(b - 1)**5
Let m(j) be the first derivative of -j**6/2 + 3*j**4 - 2*j**3 - 9*j**2/2 + 6*j - 3. Factor m(r).
-3*(r - 1)**3*(r + 1)*(r + 2)
Let x be (225/30)/(9/20). Let s = 52/3 - x. What is k in -s*k**2 + 0 - 2/3*k = 0?
-1, 0
Let b be ((-12)/9)/(-4*(-4)/(-24)). Find y, given that -2*y**3 + 8/3*y**b + 0 + 2/3*y**5 - 4/3*y**4 + 8/3*y = 0.
-1, 0, 2
Let s(g) be the first derivative of 0*g + 0*g**3 - 1/240*g**5 + 0*g**4 + 4 - g**2. Let w(l) be the second derivative of s(l). Factor w(q).
-q**2/4
Let k = 13 - 25. Let w be (k/9)/(4/(-6)). Determine y so that -y**2 + 0*y + 0*y + 0*y**w = 0.
0
Suppose -2*a = f - 21, -2 - 3 = -a + 5*f. Let i be (16/(-20))/((-4)/a). Factor -j**3 + j**4 - 2*j - i + 1 + 3*j**3.
(j - 1)*(j + 1)**3
What is p in 1/3*p**3 + 0 + 0*p**2 + 0*p = 0?
0
Suppose o + 8 = -13. Let t = -145/7 - o. Solve -2/7*n**2 - t + 4/7*n = 0 for n.
1
Suppose v = 4*v. Let i(x) be the first derivative of v*x - 1/10*x**4 + 4/15*x**3 - 1 - 1/5*x**2. Suppose i(s) = 0. Calculate s.
0, 1
Let h(j) be the second derivative of j**4/6 - 2*j**3/3 + j**2 - 6*j. Factor h(b).
2*(b - 1)**2
Let j(f) = 6*f**2 + 3*f + 2. Let v(i) = i**2. Let z(h) = 3*j(h) - 15*v(h). Factor z(l).
3*(l + 1)*(l + 2)
Suppose 0 = 2*y - 3*y. Let b be 5 - 1/3*y. Factor 5*j**2 + 10*j**4 - 14*j**b + 4*j**3 - 5*j**2.
-2*j**3*(j - 1)*(7*j + 2)
Let g = -1081/208 + 70/13. Let c(y) be the second derivative of g*y**4 - 1/4*y**3 + 1/8*y**2 + 4*y - 1/20*y**5 + 0. Find d, given that c(d) = 0.
1/4, 1
Let w(x) = 4*x**3 + 24*x**2 - 32*x. Let b(l) = -10*l**3 - 72*l**2 + 97*l. Let r(o) = 4*b(o) + 11*w(o). Suppose r(d) = 0. Calculate d.
0, 3
Let i(u) be the second derivative of 1/36*u**4 + 8/3*u**2 - 4/9*u**3 + 0 - 3*u. Factor i(g).
(g - 4)**2/3
Let 1/8*m**2 - 3/2 + 11/8*m = 0. Calculate m.
-12, 1
Suppose -31*q + 32*q = 5. Factor 0 - 2/9*x**q + 0*x**2 + 0*x - 2/9*x**4 + 0*x**3.
-2*x**4*(x + 1)/9
Let v = 19 + -11. Suppose 5*o = -3*k + v + 19, 0 = -k + 4. Factor -m**2 + 2*m - m**o + 0*m + 1 - m.
-(m - 1)*(m + 1)**2
Let h be (1 - 2/8)*4. Factor 2*n + n**3 - 2*n - 6*n + n**h + 4.
2*(n - 1)**2*(n + 2)
Let t(o) = -4*o**2 - 8*o. Let j(v) = -4*v**2 - 8*v. Let p(d) = d + 7. Let m be p(-10). Let c(n) = m*t(n) + 4*j(n). Factor c(b).
-4*b*(b + 2)
Suppose 0*d = 3*d + 2*s - 66, 0 = -s - 3. Factor -24*c**3 - d*c**3 - 25*c**2 - 32*c + 16*c**4 - 2*c**5 + 89*c**2.
-2*c*(c - 2)**4
Suppose q + 58 = 2*s - 7*s, s - 3*q = -2. Let o = -8 - s. Suppose 4 - o + 2*t + t**2 - 4*t = 0. What is t?
1
Let s(o) be the third derivative of -o**7/315 + o**5/45 - o**3/9 - 4*o**2. Factor s(u).
-2*(u - 1)**2*(u + 1)**2/3
Let -2 + 3/2*a + 1/2*a**2 = 0. Calculate a.
-4, 1
Let k(r) be the second derivative of -r**7/189 - r**6/45 + r**5/30 + 11*r**4/54 + 2*r**3/9 - 72*r. Suppose k(d) = 0. Calculate d.
-3, -1, 0, 2
Let c(i) = -i**2 + 8*i - 11. Let p be c(5). Let k(o) be the first derivative of 4/35*o**5 - 1/21*o**6 + 1/7*o**2 + 0*o + 0*o**p - 4/21*o**3 - 2. Factor k(d).
-2*d*(d - 1)**3*(d + 1)/7
Let b = -2/207 - -217/1035. Determine g, given that -9/5 - b*g**2 - 6/5*g = 0.
-3
Let z(f) be the third derivative of -f**5/4 - f**4 + 2*f**3 + 16*f**2. Suppose z(i) = 0. Calculate i.
-2, 2/5
Let k(y) be the second derivative of 0*y**3 - 1/20*y**5 + 0*y**2 - 1/12*y**4 + 0 + 5*y. Factor k(p).
-p**2*(p + 1)
Let h = -9 + 7. Let i be h - -3 - (-1)/(-2). Factor 1 - 1/2*g**2 + i*g.
-(g - 2)*(g + 1)/2
Let z(f) = -f + 8. Let k be z(8). Let i(h) be the third derivative of 0*h**5 - 1/36*h**4 - 2*h**2 + 0*h + 0 + 1/180*h**6 + k*h**3. Factor i(q).
2*q*(q - 1)*(q + 1)/3
Let u be 24/15 - 1/(-10)*4. Let m(p) be the first derivative of 7/3*p**3 - 3/4*p**4 + 4/3*p - 8/3*p**2 + u. Factor m(t).
-(t - 1)*(3*t - 2)**2/3
Let q(v) be the first derivative of -v**8/840 - v**7/210 - v**6/180 + 4*v**3/3 - 2. Let m(n) be the third derivative of q(n). Let m(b) = 0. Calculate b.
-1, 0
Let u = 184/133 + -10/19. What is o in 15/7*o**2 + u*o + 0 + 3/7*o**4 + 12/7*o**3 = 0?
-2, -1, 0
Let s(u) be the first derivative of -25*u**4/18 + 10*u**3/3 - 8*u**2/3 + 8*u/9 + 7. Let s(l) = 0. What is l?
2/5, 1
Let f(q) be the third derivative of -q**8/672 + q**7/210 - q**6/240 + 3*q**2. Factor f(a)