+ 0*q = 0 for q.
-1, 0, 1
Suppose -p - 2*p = -3*r, 0 = p - 2*r + 2. Find c such that 1/3*c - 1/6*c**p + 0 = 0.
0, 2
Let x(a) = 4 + 2*a**2 - 3*a + 10*a - 1 + 0*a**2. Let z(q) = -8*q**2 - 27*q - 11. Let l(g) = 22*x(g) + 6*z(g). Solve l(n) = 0.
-2, 0
Let k(r) be the first derivative of r**4/24 + r**3/3 + r**2 - 3*r + 6. Let u(j) be the first derivative of k(j). Solve u(x) = 0 for x.
-2
Let l(y) be the third derivative of y**9/13608 + y**8/3780 - y**6/810 - y**5/540 + y**3 + 5*y**2. Let b(u) be the first derivative of l(u). Factor b(j).
2*j*(j - 1)*(j + 1)**3/9
Factor 0*g + 7/5*g**3 + 3/5*g**5 - 2/5*g**2 - 8/5*g**4 + 0.
g**2*(g - 1)**2*(3*g - 2)/5
Let d(o) be the third derivative of -o**8/1008 - 2*o**7/315 - o**6/120 + o**5/45 + o**4/18 - 4*o**2. Let d(t) = 0. Calculate t.
-2, -1, 0, 1
Let c(h) be the third derivative of -1/12*h**3 + 0 + 1/32*h**4 + 1/120*h**5 - 1/160*h**6 + 0*h + 4*h**2. Factor c(a).
-(a - 1)*(a + 1)*(3*a - 2)/4
Let j(h) be the third derivative of h**6/6 - h**5/5 - h**4/3 - 9*h**2. Find z such that j(z) = 0.
-2/5, 0, 1
Suppose 3*q + 4*a = -32, 33 = -3*q - 3*a - 0. Let b be (-15)/q + (-27)/36. Let 1/3*u - b + 1/6*u**2 = 0. What is u?
-3, 1
Determine j so that -1/4*j**2 - 2*j + 3 + 1/4*j**3 = 0.
-3, 2
Let m(u) be the second derivative of -u**4/4 - 7*u**3/2 - 9*u**2 - 23*u. Find p, given that m(p) = 0.
-6, -1
Factor -1/6*f + 0 - 1/6*f**2.
-f*(f + 1)/6
Let k(w) be the first derivative of -w**6/120 + w**5/40 + w**4/4 + w**3/3 + 4. Let s(j) be the third derivative of k(j). Suppose s(o) = 0. What is o?
-1, 2
Let u be (-17)/(-36) + (-44)/198. Suppose 0 = -g - 2*s - 3 - 3, -2*g - 5*s = 15. Find p such that 1/4*p**3 - 1/4*p**2 + g + 1/4*p**4 - u*p = 0.
-1, 0, 1
Let n(t) = -26*t**4 - 66*t**3 - 90*t**2 - 62*t - 12. Let y(k) = 9*k**4 + 22*k**3 + 30*k**2 + 21*k + 4. Let p(v) = 3*n(v) + 8*y(v). Find h, given that p(h) = 0.
-1, -2/3
Suppose 21 - 2*f**2 - 21 = 0. Calculate f.
0
Let v(b) = -b**2 - 176*b + 1445. Let t(w) = w**2 + w. Let z(h) = -6*t(h) - v(h). Factor z(d).
-5*(d - 17)**2
Let x(o) be the second derivative of o**4/12 + 5*o**3/6 + 3*o**2 - o. Let v be x(-4). Factor -k - 3*k**v - 7*k**2 + 5*k.
-2*k*(5*k - 2)
Let u(d) be the third derivative of d**8/720 + d**7/504 - d**6/540 + d**3/2 - 2*d**2. Let i(y) be the first derivative of u(y). Factor i(p).
p**2*(p + 1)*(7*p - 2)/3
Let j(r) = 2*r. Let m be j(2). Suppose 3*t = m*f + f + 10, 4*f = -8. Let -1/2*y**4 - 1/2*y**2 + y**3 + 0 + t*y = 0. Calculate y.
0, 1
Let y(r) be the third derivative of -1/42*r**4 - 1/147*r**7 + 0 - 1/30*r**5 - 3/140*r**6 + 0*r**3 + 0*r + 3*r**2 - 1/1176*r**8. Factor y(u).
-2*u*(u + 1)**3*(u + 2)/7
Let r = 14 - -8. Factor -g**3 - 45*g**4 - r*g**3 - g**3 - 4*g**2 - 25*g**5.
-g**2*(g + 1)*(5*g + 2)**2
Let d(w) be the third derivative of -1/20*w**4 + 1/840*w**8 + 1/75*w**5 + 0 + 1/15*w**3 - 1/175*w**7 - 3*w**2 + 0*w + 1/150*w**6. Factor d(t).
2*(t - 1)**4*(t + 1)/5
Let u(f) be the first derivative of -f**4/24 + 2*f**3/9 - 5*f**2/12 + f/3 + 8. Factor u(n).
-(n - 2)*(n - 1)**2/6
Let u(c) = 9*c**4 - 6*c**3 + 4*c**2 + 7*c + 7. Let b(w) = -8*w**4 + 6*w**3 - 4*w**2 - 6*w - 6. Let a(y) = -7*b(y) - 6*u(y). Factor a(n).
2*n**2*(n - 2)*(n - 1)
Suppose 3*t - 6 + 0 = 0. Factor -6*b + t*b**3 - 2*b**3 + 3*b**3 + 9*b**2 - 6*b**3.
-3*b*(b - 2)*(b - 1)
Let n be -5 + (-8)/(-20)*5. Let p be (-2)/n*18/15. Factor 0*i**2 + p*i**3 + 2/5*i**4 - 4/5*i - 2/5.
2*(i - 1)*(i + 1)**3/5
Let h(l) be the first derivative of -5*l**4/3 - 28*l**3/9 + 16*l**2/3 + 16*l/3 + 6. Factor h(g).
-4*(g - 1)*(g + 2)*(5*g + 2)/3
Let s(i) be the third derivative of -i**6/120 + i**5/20 - i**4/24 + i**3/3 - 3*i**2. Let c be s(2). Factor 1 + h**2 - 3*h**2 + 1 + c*h + 4*h**2.
2*(h + 1)**2
Let w(h) be the third derivative of h**5/30 - h**4/4 - 4*h**3/3 - 8*h**2. Factor w(o).
2*(o - 4)*(o + 1)
Let d(o) be the first derivative of 3*o**5/10 - o**4 + 7*o**3/6 - o**2/2 + 12. Suppose d(l) = 0. Calculate l.
0, 2/3, 1
Let l be 4/14 + 57/21. Let x(n) be the second derivative of 0*n**l - 1/5*n**2 + 0 + 1/30*n**4 + 2*n. Determine t, given that x(t) = 0.
-1, 1
Suppose -3*c = -4*c. Suppose 0 = -4*b + 5*h - c*h + 33, 3*h + 11 = -2*b. Factor -4*u + 0*u**2 + 0*u**2 + 0*u**2 + 2*u**b.
2*u*(u - 2)
Let c = 8/5 - 47/30. Let m(g) be the third derivative of 0 - 1/15*g**5 - 1/168*g**8 + 1/105*g**7 + c*g**6 + 0*g + 1/3*g**3 - 1/12*g**4 - g**2. Factor m(i).
-2*(i - 1)**3*(i + 1)**2
Let b(t) be the first derivative of -2/3*t - 1/2*t**2 + 2 + 1/6*t**4 + 1/3*t**3. Factor b(j).
(j - 1)*(j + 2)*(2*j + 1)/3
Let s = 10/11 + -28/55. Find z such that -2/5*z**2 + s*z**4 + 0 - 2/5*z**3 + 2/5*z = 0.
-1, 0, 1
Let i(h) be the first derivative of 0*h - 159/4*h**4 + 333/10*h**5 + 6*h**2 + 6 - 6*h**3 - 7*h**6. Determine b, given that i(b) = 0.
-2/7, 0, 1/4, 2
Let q(v) = 5*v**2 + 14*v - 4. Let t(c) = c - 1. Let w(a) = -q(a) + 4*t(a). Factor w(m).
-5*m*(m + 2)
Let d(z) = z**3 + z**2 + z + 1. Suppose 3*n = 5*x + 2*n - 10, -x = 3*n + 14. Let q(i) = 4*i**2 - 2*i + 2. Let o(j) = x*q(j) - d(j). Factor o(h).
-(h - 1)**3
Let c be ((-12)/(-15))/((-4)/(-10)). Let l(o) be the first derivative of 1 + 3/2*o**4 + 2/5*o**5 + 0*o + 2*o**3 + o**c. Factor l(u).
2*u*(u + 1)**3
Let c = -8 + 10. Find k such that -c*k**2 + k**3 - 4*k**2 + 4*k**2 + 4*k**2 = 0.
-2, 0
Let x(t) be the first derivative of 1/6*t**3 - 1 + 0*t + 1/4*t**2. Factor x(f).
f*(f + 1)/2
Suppose 5*a + 3 = 6*a. Let g(i) be the first derivative of -1/5*i**5 + 0*i**2 + 0*i**a - 1 + 0*i + 1/6*i**6 + 0*i**4. Factor g(w).
w**4*(w - 1)
Let o(s) be the first derivative of -4*s**3/3 + 2*s**2 + 8*s + 7. Find c such that o(c) = 0.
-1, 2
Let m(x) = x + 1. Let a be m(-1). Factor -3/5*z + a + 3/5*z**2.
3*z*(z - 1)/5
Let c(i) be the third derivative of i**6/280 - i**5/28 + i**4/28 + 4*i**3/7 + 2*i**2. Determine r, given that c(r) = 0.
-1, 2, 4
Suppose -8*f = -14*f + 18. Let w be 4/30 - 12/(-18). Find u such that -8/5*u**f - 8/5*u**4 - 2/5*u**5 + 2*u + w + 4/5*u**2 = 0.
-2, -1, 1
Let u(f) = -4*f**2 - 3 + f**2 + 4*f**2 - 6*f. Let w be u(7). Solve 3*q**2 - 2*q**w + 4*q**3 - 3/2*q**5 - 1 - 5/2*q = 0.
-2, -1, -1/3, 1
Let q(o) be the third derivative of -o**5/180 + o**4/36 + o**3/6 + 3*o**2. Determine r, given that q(r) = 0.
-1, 3
Let j(a) be the second derivative of -a**4/90 - a**3/15 - 2*a**2/15 - 39*a. Factor j(f).
-2*(f + 1)*(f + 2)/15
Let c(h) = -11*h + 12. Let p be c(4). Let j = 34 + p. Factor 9/4*g**4 + 3/4*g**5 - 3/4 - 3/2*g**j - 9/4*g + 3/2*g**3.
3*(g - 1)*(g + 1)**4/4
Let v = -12 + 12. Let b(w) be the first derivative of 0*w**3 + v*w**2 - 7/5*w**5 - 1 + 1/2*w**4 + 5/6*w**6 + 0*w. What is f in b(f) = 0?
0, 2/5, 1
Solve 5/3*h - 1/3*h**3 - 1 - 1/3*h**2 = 0 for h.
-3, 1
Let i(u) be the third derivative of -u**7/840 + u**5/80 - u**4/48 + 14*u**2. Factor i(s).
-s*(s - 1)**2*(s + 2)/4
Let v(a) be the third derivative of -a**6/240 - a**5/30 - a**4/12 - 54*a**2. What is r in v(r) = 0?
-2, 0
Let o(i) = i**3 - 7*i**2 - 8*i. Let r be o(8). Suppose r = -v - j - 2, -4*v - 5*j + 3 = 13. Factor -2*p**2 + v*p**4 + 2*p - 2*p**3 + 0*p**3 + 2*p**4.
2*p*(p - 1)**2*(p + 1)
Let n(h) = h**3 + h**2 - h + 6. Let d be n(0). Let q be 2/d*(-3)/(-4). What is f in 0 + 1/4*f - 1/4*f**2 + q*f**4 - 1/4*f**3 = 0?
-1, 0, 1
Suppose -2*y**4 - 4/9 + 14/9*y**2 - 2*y**3 + 10/9*y = 0. Calculate y.
-1, 1/3, 2/3
Let y(n) = 26*n**3 + 4*n**2 - 4*n - 26. Suppose -8 = -w - 10. Let l(c) = -5*c**3 - c**2 + c + 5. Let a(g) = w*y(g) - 11*l(g). Factor a(d).
3*(d - 1)*(d + 1)**2
Suppose 0 = 5*o + v + 1 - 8, 0 = 5*v + 15. Determine k so that 5 - 2*k + 2 - 7 + o*k**3 = 0.
-1, 0, 1
Let l(j) = 5*j**2 - 10*j + 9. Let a(g) = -36*g**2 + 70*g - 62. Let o(i) = -6*a(i) - 44*l(i). Factor o(q).
-4*(q - 3)*(q - 2)
Let -16*r**2 + 7*r**2 + r**3 + 11*r**2 = 0. Calculate r.
-2, 0
Let f(p) = -9*p**2 - 8*p - 6. Let i(o) = -5*o**2 - 4*o - 3. Let s(n) = 4*f(n) - 7*i(n). Factor s(v).
-(v + 1)*(v + 3)
Let w(g) be the first derivative of -g**8/4200 + g**7/2100 + g**6/900 - g**5/300 - g**3 + 1. Let c(p) be the third derivative of w(p). Factor c(q).
-2*q*(q - 1)**2*(q + 1)/5
Let j(d) = -d**2 + 6*d + 5. Let y be j(6). Let k(a) = a**2 - a + 7. Let t(s) = -2*s**2 + 3*s - 13. Let u(h) = y*k(h) + 3*t(h). Factor u(p).
-(p - 2)**2
Let k be (-1)/3*(-9)/5. Factor -6/5*y + 0 + k*y**2 + 3/5*y**3.
3*y*(y - 1)*(y + 2)