q**3 + 0*q. Solve c(d) = 0 for d.
-1, 0
Let h(t) = 5*t**2 - t + 6. Let v(l) = 10*l**2 - 3*l + 13. Let y(z) = -13*h(z) + 6*v(z). Factor y(g).
-5*g*(g + 1)
Suppose 4*y - 59 = 3*w, -6*y + y + 5*w = -70. Let i be y/2 + (-9 - -5). Factor -3*z**2 - 3/2*z**5 + i*z**4 - 3/2 - 3*z**3 + 9/2*z.
-3*(z - 1)**4*(z + 1)/2
Let g = -10/13 + 137/26. Factor -3/4*s**2 - 27/4 + g*s.
-3*(s - 3)**2/4
Find d such that 0 - 32/11*d**3 + 36/11*d + 30/11*d**2 + 6/11*d**4 = 0.
-2/3, 0, 3
Let g = 435 + -13049/30. Let q(h) be the third derivative of g*h**5 - h**2 + 0*h + 4/3*h**3 + 1/3*h**4 + 0. Determine u so that q(u) = 0.
-2
Suppose 0 = 4*o + 3*x - 20, 6 = -5*o - 0*x + 4*x. Suppose -26 = -2*h + 5*p, -4*h + o*p = 4*p - 4. Suppose -2/3 - 2/3*q**h + 2/3*q**2 + 2/3*q = 0. Calculate q.
-1, 1
Let o(s) = -4*s**2 - 2*s. Let g(v) be the third derivative of -3*v**5/20 - 5*v**4/24 - v**3/6 + 5*v**2. Let h(q) = 2*g(q) - 5*o(q). Factor h(c).
2*(c - 1)*(c + 1)
Let i = -46 + 46. Let t be (-13)/(-4) + (-3 - i). Factor t - 1/4*a**2 + 0*a.
-(a - 1)*(a + 1)/4
Let b(v) = -v**3 + 3*v**2 - 3*v + 3. Suppose -5*k + 1 = -4. Let h(u) = k - u**2 - 3*u + 4*u - 2 + 0*u. Let i(f) = -b(f) - 3*h(f). Factor i(m).
m**3
Suppose 0 + 0*u - 2/5*u**2 - 1/5*u**3 = 0. Calculate u.
-2, 0
Let z(a) be the third derivative of a**7/70 + 3*a**6/8 + 15*a**5/4 + 125*a**4/8 + 31*a**2. What is j in z(j) = 0?
-5, 0
Suppose -j = j - 64. Let z be -2*(28/j + -1). Factor -z*k**2 + 1/4 - 1/4*k**3 + 1/4*k.
-(k - 1)*(k + 1)**2/4
Let w be -10*(1 + (-4)/2). Let t = -8 + w. Suppose 0*p**3 + 2/7*p**4 + 0*p**t + 0*p + 0 = 0. What is p?
0
Let k(v) = v**3 - 10*v**2 - v + 13. Let h be k(10). Factor 6*t - 3*t**h + 6*t**2 + 0*t**3 + 6*t**3 - 3*t.
3*t*(t + 1)**2
Let s(v) be the third derivative of -v**7/420 + v**6/240 + v**5/120 - v**4/48 - 40*v**2. Solve s(r) = 0.
-1, 0, 1
Let p(s) be the second derivative of s**6/6 - s**5/4 - 5*s**4 + 70*s**3/3 - 40*s**2 + 31*s. Let p(f) = 0. Calculate f.
-4, 1, 2
Let q(z) = z + 1. Let k be q(1). Factor i**2 + i**k + i**2 + 2 - 5.
3*(i - 1)*(i + 1)
Let i(r) be the third derivative of -2*r**7/35 + 3*r**6/40 + r**5/4 - 3*r**4/8 - r**3/2 - 7*r**2. Solve i(l) = 0.
-1, -1/4, 1
Let a(j) = 3*j**2 - 4*j - 1. Let d(o) = 7*o**2 - 9*o - 3. Let r(y) = 15*a(y) - 6*d(y). Factor r(w).
3*(w - 1)**2
Suppose 0 = -5*h - 4*w + 16, 3*h - w = -0*w - 4. Determine n so that 0 - 1/5*n + 1/5*n**3 + h*n**2 = 0.
-1, 0, 1
Let t(u) be the first derivative of 0*u**3 - 1/2*u**4 + 0*u**2 + 0*u + 1. Factor t(n).
-2*n**3
Let o = -14 + 22. Let m be (1/(-2))/((-2)/o). Factor -m*s**3 - s**3 + 4*s**3.
s**3
Let h = 7 - 4. Let y = 8 - 3. Factor -4*g**h + 0*g**3 + y*g**3.
g**3
Let m(k) be the second derivative of 0*k**4 + 1/105*k**6 + 0 + 0*k**3 + 0*k**2 - k + 1/147*k**7 + 0*k**5. Factor m(t).
2*t**4*(t + 1)/7
Let d = -37/44 + 12/11. Solve -1/4*w**4 + 0 - 1/4*w + 1/4*w**2 + d*w**3 = 0 for w.
-1, 0, 1
Factor 4/7*d - 3/7 - 1/7*d**2.
-(d - 3)*(d - 1)/7
Let y(m) be the third derivative of m**7/840 + m**6/120 + m**5/40 + m**4/24 + m**3/3 + m**2. Let r(x) be the first derivative of y(x). Factor r(n).
(n + 1)**3
Factor 0 + 1/2*r + 1/4*r**2.
r*(r + 2)/4
Let p(b) be the second derivative of -b**6/165 - b**5/110 - 16*b. Factor p(s).
-2*s**3*(s + 1)/11
Let i(p) be the second derivative of -p**5/5 - p**4/3 + 2*p**3/3 + 2*p**2 - 13*p. What is y in i(y) = 0?
-1, 1
Let t(y) = -11*y**5 + 15*y**4 + 3*y**3 + 2*y**2 - 9. Let b(i) = -5*i**5 + 7*i**4 + i**3 + i**2 - 4. Let c(a) = -9*b(a) + 4*t(a). What is p in c(p) = 0?
0, 1
Let j(d) = d**3 - 6*d**2 + d - 4. Let t be j(6). Find r such that 2*r**3 - 3 - 3*r**2 + 5*r**t + 1 - 2*r = 0.
-1, 1
Let d = -103/6 - -56/3. Let j(h) be the first derivative of 3/2*h**3 + d*h - 3/8*h**4 - 9/4*h**2 + 3. Factor j(n).
-3*(n - 1)**3/2
Suppose 5*u - 22 = -0*y - y, 10 = -y + 3*u. Let d be 18/(-10) - (-1 - 2). Factor -d*a**3 + y*a - 8/5*a**2 + 4/5.
-2*(a - 1)*(a + 2)*(3*a + 1)/5
Suppose 3*m + w = -0*m + 7, 5*m + 5*w - 5 = 0. Solve 0*l + 1 - m*l**2 - 2*l + 4*l**2 = 0.
1
Let f(u) be the first derivative of -3*u**7/2 - u**6/10 + 12*u**5/5 - u**4 + 2*u - 5. Let d(n) be the first derivative of f(n). Suppose d(p) = 0. Calculate p.
-1, 0, 2/7, 2/3
Let p(k) be the second derivative of -k**7/7560 + k**4/6 - 8*k. Let u(a) be the third derivative of p(a). Find z such that u(z) = 0.
0
Suppose 4*f - 20 = -2*q - 3*q, -3*q = -4*f - 12. Suppose 5 = q*j - 7. What is g in -2 + 0*g**3 + g**j + 2*g**2 + 2 = 0?
-2, 0
Let k(v) = -v**2 - 9*v - 4. Let m(s) = s - 20. Let a be m(12). Let i be k(a). What is p in -16/7*p**2 + 2*p**i + 2/7 - 4/7*p + 8/7*p**5 - 4/7*p**3 = 0?
-1, 1/4, 1
Let g be 120/(-32)*64/6. Let m = g - -43. Let -u - 2*u**2 - 1/4*u**4 - 5/4*u**m + 0 = 0. What is u?
-2, -1, 0
Suppose -8*o + 7 + 9 = 0. Factor -1/2*z**4 + 0*z**3 + 1/2*z**o + 0*z + 0.
-z**2*(z - 1)*(z + 1)/2
Let r(l) be the first derivative of -2*l**5/5 - 5*l**4 - 64*l**3/3 - 32*l**2 + 17. Factor r(k).
-2*k*(k + 2)*(k + 4)**2
Let p = -9 - -6. Let f be (-1)/p*6/3. Factor 4/3*n - f - 2/3*n**2.
-2*(n - 1)**2/3
Let v = -8 + 8. Let c(r) = r**3 + r**2 + r + 2. Let a be c(v). Suppose 0 + 0*p**a - 2/3*p**4 + 1/3*p**3 + 0*p = 0. What is p?
0, 1/2
Let o be ((-15)/(-12))/(2/8). Let r be 22/33*6/8. Suppose 0*a**3 + 0 - a**2 + a**4 + 1/2*a**o - r*a = 0. What is a?
-1, 0, 1
Let p(b) be the second derivative of -2*b**6/15 + 3*b**5/5 - b**4/3 - 2*b**3 + 4*b**2 + 6*b - 5. Factor p(i).
-4*(i - 2)*(i - 1)**2*(i + 1)
Factor 9/2*a**3 + 2 - 3/2*a**2 - 4*a.
(a + 1)*(3*a - 2)**2/2
Let t(b) be the second derivative of b**4/108 + b**3/9 + 5*b**2/18 - b - 13. Suppose t(w) = 0. Calculate w.
-5, -1
Let f(b) = 2*b**3 + 7*b**2 + 3*b + 3. Let d(u) = -4*u - 8*u**2 + 2*u**3 + u**3 - 5*u**3 - 4. Let q(s) = 5*d(s) + 6*f(s). Find i, given that q(i) = 0.
-1, 1
Let c be ((-12)/(-20))/((-162)/(-60)). Factor c*r + 0 + 2/9*r**2.
2*r*(r + 1)/9
Let v(h) be the third derivative of -h**6/240 - 7*h**5/120 - 5*h**4/16 - 3*h**3/4 - 7*h**2. Factor v(d).
-(d + 1)*(d + 3)**2/2
Let h be 5*(6/(-10))/(-1). Suppose h*p + 4 = 10. What is v in 2/3 - 2*v + 2*v**p - 2/3*v**3 = 0?
1
Let v = 11 - 9. Let g(h) be the first derivative of 38/3*h**5 + 2 + 139/6*h**4 + 25/9*h**6 + 194/9*h**3 + 8/3*h + 32/3*h**v. Determine o so that g(o) = 0.
-1, -2/5
Let g(f) be the first derivative of -f**5/5 - f**4/4 + 2*f**3/3 + 38. Factor g(u).
-u**2*(u - 1)*(u + 2)
What is p in 3*p**3 + 7*p**2 + 0*p - 2*p - 4*p**2 - 3 - p = 0?
-1, 1
Let r(i) be the first derivative of 3/7*i**4 + 1/21*i**6 + 8/35*i**5 + 1 + 8/21*i**3 + 0*i + 1/7*i**2. Let r(m) = 0. What is m?
-1, 0
Factor -3/2*g + 1/2*g**3 + 0*g**2 - 1.
(g - 2)*(g + 1)**2/2
Solve 6*a**3 + 142*a**2 - 107*a**2 - 10*a - a**3 + 5*a**3 - 35*a**4 = 0 for a.
-1, 0, 2/7, 1
Find a such that -2*a**2 - 32 - 5*a - 4*a - 7*a = 0.
-4
Let i(j) be the third derivative of -j**5/12 + 5*j**4/12 - 14*j**2. Factor i(l).
-5*l*(l - 2)
Let z(f) be the third derivative of -1/504*f**8 + 0*f**4 - 2/45*f**6 + 3*f**2 - 2/45*f**5 - 1/63*f**7 + 0 + 0*f + 0*f**3. Solve z(u) = 0.
-2, -1, 0
Let d be (-1)/(-8) + (-12)/96. Let x(m) be the second derivative of 0*m**3 + 2*m + 0*m**4 + 0*m**6 + d*m**2 - 1/210*m**7 + 1/100*m**5 + 0. Solve x(h) = 0.
-1, 0, 1
Let y be 2 + 1 + (-4)/(-2). Let r = -3 + y. Factor r*h**2 + 2*h**2 + 0*h + 2*h.
2*h*(2*h + 1)
Let g = -112/11 + 806/77. Find h, given that 4/7 - g*h**2 - 2/7*h = 0.
-2, 1
Suppose -c = -0*c - 3. Suppose -c - 9 = -4*m. Determine b so that -3 - 12*b - 9*b**2 - 3 + m + 0 = 0.
-1, -1/3
Let j(r) be the third derivative of -4*r**5/15 - r**4/6 + r**3/3 + 2*r**2. Factor j(a).
-2*(2*a + 1)*(4*a - 1)
Let y(w) be the first derivative of w**4/2 + 4*w**3 + 9*w**2 + 8*w - 67. Factor y(i).
2*(i + 1)**2*(i + 4)
Suppose n - 8 = 6. Let q(u) = u**3 + 9*u**2 + 6*u - 9. Let b(a) = a**2 + a - 1. Let t(r) = n*b(r) - 2*q(r). Determine i so that t(i) = 0.
-2, -1, 1
Let d(y) = y**2 + y + 2. Let f be d(-2). Determine c so that -4*c**2 + 3*c**2 + 7*c**2 + 2*c**f + 10*c**3 + 8*c + 10*c**2 = 0.
-2, -1, 0
Let q = -16 - -19. Let c(z) = -7*z**4 + 13*z**3 - 9*z**2 - z - 4. Let h(f) = -6*f**4 + 12*f**3 - 9*f**2 - 3. Let s(x) = q*c(x) - 4*h(x). Factor s(w).
3*w*(w - 1)**3
Let y(i) be the second derivative of -3*i**7/14 - 11*i**6/5 - 15*i**5/2 - 7*i**4 + 21*i**3/2 + 27*i**2 - 4*i. Let y(m) = 0. Calculate m.
-3, -1, 2/3
Factor 0 - 1/