r -21 - 4*c**2 + 8 - 4*c + 5 + 4*c**3 + 12.
4*(c - 1)**2*(c + 1)
Let d = -7514/5 - -1503. Factor 0 + d*n**4 + 0*n - 4/5*n**3 + 4/5*n**2.
n**2*(n - 2)**2/5
Let v(p) = -p**2 + 3*p + 12. Let g be v(5). Factor -4*a**g + 2*a**2 + a**2 - a**2.
-2*a**2
Let i = 42 + -40. Suppose -5*q + 0*q = -10. Factor 0*z**3 + 2*z**3 + i*z**3 - q*z**3.
2*z**3
Let o(k) = -18*k**4 - 54*k**3 - 21*k**2 + 3*k. Let d(s) = 17*s**4 + 53*s**3 + 20*s**2 - 2*s. Let q(u) = -3*d(u) - 2*o(u). Factor q(x).
-3*x**2*(x + 3)*(5*x + 2)
Solve -24/5*i - 4/5*i**2 + 0 + 4/5*i**3 = 0 for i.
-2, 0, 3
Let z(y) = 2*y**5 - 13*y**4 + 21*y**3 - 17*y**2 + 7*y + 3. Let a(i) = 2*i**5 - 12*i**4 + 20*i**3 - 16*i**2 + 6*i + 2. Let b(x) = 3*a(x) - 2*z(x). Factor b(w).
2*w*(w - 2)*(w - 1)**3
Let t = 14 - 10. Let s(f) be the third derivative of 0*f**6 + 2*f**2 + 0*f**3 + 1/120*f**5 + 0*f + 1/1344*f**8 + 0 - 1/420*f**7 - 1/96*f**t. Factor s(h).
h*(h - 1)**3*(h + 1)/4
Let v = 1/83 - -329/249. Let z = -118 + 120. Factor -2/3*i + 0 - v*i**z - 2/3*i**3.
-2*i*(i + 1)**2/3
Suppose -3*d + 7 = -j - 6, d = -3*j + 11. Factor -j*r**2 + 4*r**2 + 3*r**3 - 5*r**3.
-2*r**2*(r - 1)
Let g(j) be the third derivative of 1/15*j**4 + 0*j + 4/15*j**3 + 1/150*j**5 + 0 - 4*j**2. Factor g(h).
2*(h + 2)**2/5
Let u(m) be the first derivative of m**4 - 20*m**3/3 + 6*m**2 + 36*m - 7. Determine v so that u(v) = 0.
-1, 3
Suppose 11 - 11 = -2*m. Suppose 8*q = 3*q + 15. Factor 0*w + 0 + m*w**4 + 2*w**q + 4/3*w**2 - 2/3*w**5.
-2*w**2*(w - 2)*(w + 1)**2/3
Let i = -15 + 15. Suppose 4*q - 7*q + 9 = i. Suppose 2/5*z**q + 0 + 0*z**2 - 2/5*z = 0. Calculate z.
-1, 0, 1
Suppose -2*c - 4 = -c, 4*h - 2*c - 12 = 0. Suppose 7 + h = 4*m. Factor -8 + 6*l - 2*l**2 + m*l + 0*l.
-2*(l - 2)**2
Let c = 352/7 - 50. Let x = -24 - -26. Solve -4/7 + c*k**x - 2/7*k = 0.
-1, 2
Let c(y) = -3*y**4 + 4*y**3 - 5*y**2 + 2*y + 2. Let j(q) = 12*q**4 - 15*q**3 + 21*q**2 - 9*q - 9. Let s(o) = 9*c(o) + 2*j(o). Factor s(d).
-3*d**2*(d - 1)**2
Let x(i) be the second derivative of -i**6/15 + i**4/3 - i**2 - 7*i. Factor x(s).
-2*(s - 1)**2*(s + 1)**2
Determine o so that -63*o**2 - 16*o + 17 + 5*o - 5 - 13*o = 0.
-2/3, 2/7
Let k(m) be the second derivative of -m**7/21 + 2*m**6/15 + 3*m**5/10 + 5*m. Factor k(o).
-2*o**3*(o - 3)*(o + 1)
Factor 0 + 0*t - 2/21*t**4 + 6/7*t**3 + 0*t**2.
-2*t**3*(t - 9)/21
Let v = -67 - -205/3. What is m in 0 - 2/9*m**5 - 2/9*m - v*m**3 + 8/9*m**4 + 8/9*m**2 = 0?
0, 1
Let q(s) = 2*s**4 - 6*s**2 - 49*s + 9 - 2*s**3 + 51*s + 0*s**3. Let m(y) = 1. Let x(a) = 5*m(a) - q(a). Solve x(l) = 0.
-1, 1, 2
Let l(u) be the third derivative of 5*u**8/1512 + u**7/135 + u**6/270 + 3*u**2. Find d such that l(d) = 0.
-1, -2/5, 0
Let c(x) be the third derivative of 0 + 0*x + 7/2*x**4 - 2*x**2 - 69/20*x**5 + 7/4*x**6 - 2*x**3 - 5/14*x**7. Solve c(j) = 0.
2/5, 1
Factor -4/5*r**2 - 4/5*r**3 + 0*r + 0.
-4*r**2*(r + 1)/5
Factor -1/5*p**5 + 0*p**2 + 0*p + 0*p**3 + 0 - 1/5*p**4.
-p**4*(p + 1)/5
Let w(o) be the third derivative of -o**5/120 + o**4/12 - o**3/3 + 14*o**2. Factor w(u).
-(u - 2)**2/2
Let q(o) = -o**3 - 1 + 0*o - o + 0. Let z(c) = 6*c**4 + 10*c**3 + 14*c**2 - 2*c - 6. Let s(m) = -6*q(m) + z(m). Suppose s(j) = 0. What is j?
-1, -2/3, 0
Let q(g) be the first derivative of -g**8/168 - g**7/45 - g**6/60 + g**5/30 + g**4/18 + 2*g**2 + 1. Let f(d) be the second derivative of q(d). Factor f(s).
-2*s*(s + 1)**3*(3*s - 2)/3
Let q(r) = 4*r - 11. Let y be q(4). Let x(l) be the third derivative of 0*l + 1/72*l**4 + 0 - 1/90*l**y + 1/9*l**3 - 1/360*l**6 + 2*l**2. Factor x(k).
-(k - 1)*(k + 1)*(k + 2)/3
Factor 0*i**3 + 3/2*i**2 - 3/2*i**4 + 0 + 0*i.
-3*i**2*(i - 1)*(i + 1)/2
Factor -10/7*z**3 + 0 - 8/7*z**4 - 2/7*z**2 + 0*z.
-2*z**2*(z + 1)*(4*z + 1)/7
Let p(c) be the second derivative of -c**7/14 + c**6/10 + 9*c**5/20 - c**4/4 - c**3 - 5*c. Let p(x) = 0. What is x?
-1, 0, 1, 2
Let g = 11 - 21/2. Let k(i) be the first derivative of -3/4*i**4 + 0*i + 1/5*i**5 + i**3 + 1 - g*i**2. Determine y so that k(y) = 0.
0, 1
Let v(m) be the first derivative of -18/5*m - 1/15*m**6 - 18/25*m**5 + 4 - 92/15*m**3 - 3*m**4 - 33/5*m**2. Suppose v(y) = 0. Calculate y.
-3, -1
Let b(q) be the third derivative of -q**5/105 + q**4/21 - 12*q**2. Let b(i) = 0. What is i?
0, 2
Let y(a) = 2*a + 1. Let b be y(1). Let 0*t**b + 2*t**2 - t**3 + 3*t**3 + 0*t**2 = 0. What is t?
-1, 0
Let h(d) = d**3 - 6*d**2 + 5*d + 4. Let m be h(5). Solve -4 + 4*u**3 + 4*u**2 - 2*u**4 + 2*u**2 + 2*u - m*u**3 - 2*u**3 = 0.
-2, -1, 1
Suppose 0 + 2/9*i**2 + 0*i + 2/9*i**3 = 0. What is i?
-1, 0
Suppose -2 = 2*m - 0. Let p be 1/m*0*1. Factor -g**2 + p*g + 0*g - g**3 + g**4 + g.
g*(g - 1)**2*(g + 1)
Factor -1/7*v + 2/7*v**2 + 1/7*v**5 + 0*v**3 - 2/7*v**4 + 0.
v*(v - 1)**3*(v + 1)/7
Let h(i) be the first derivative of -2*i**6/39 - 6*i**5/65 + i**4/26 + 2*i**3/13 + i**2/13 + 2. Let h(y) = 0. What is y?
-1, -1/2, 0, 1
Let w = 88 + -88. Find l such that w + 1/2*l - 1/4*l**2 = 0.
0, 2
Let t(d) be the third derivative of d**7/1050 + d**6/300 + 7*d**2. Solve t(f) = 0.
-2, 0
Let u(c) be the third derivative of -1/42*c**4 - 1/70*c**5 + 0*c**3 + 0*c + 0 + c**2 - 1/420*c**6. Find l such that u(l) = 0.
-2, -1, 0
Let u(j) be the second derivative of 0 + 2*j - 1/15*j**3 - 1/90*j**4 - 2/15*j**2. Solve u(s) = 0.
-2, -1
Let w(s) be the second derivative of -s**4/3 - 8*s**3/3 - 8*s**2 - 10*s. Factor w(r).
-4*(r + 2)**2
Suppose n**2 + 4*n + 5*n - 8*n = 0. Calculate n.
-1, 0
Let k = 24 + -20. Factor -k*m + 10*m + 8 - 28*m**2 + 14*m.
-4*(m - 1)*(7*m + 2)
Let u(o) be the second derivative of 1/36*o**4 + 0*o**3 + 1/30*o**5 + 1/90*o**6 + 0*o**2 - o + 0. Suppose u(c) = 0. Calculate c.
-1, 0
Let p be (-1*3 - -2) + 1. Let t = p + 2. Factor -f**3 - f - f**4 + 3*f**2 - 2*f**3 + t*f**4.
f*(f - 1)**3
Solve -z**3 - 1/3*z**2 + 2/3 + z - 1/3*z**4 = 0.
-2, -1, 1
Let q(x) be the third derivative of -x**8/13440 - x**7/1260 - x**6/360 + x**5/12 - 2*x**2. Let r(o) be the third derivative of q(o). Let r(y) = 0. What is y?
-2, -2/3
Find z, given that -2*z + 2*z + 5*z**2 - z**2 + 4*z = 0.
-1, 0
Let t(i) = -24*i**3 - 30*i**2 - 3*i + 18. Let x = -2 - -1. Let j(k) = 2*k**2 + 4 - k**3 + 5 - 3*k**2 - 8. Let h(b) = x*t(b) + 15*j(b). Factor h(r).
3*(r + 1)**2*(3*r - 1)
Let a be (2/3)/(2/3). Let t = a - -2. Factor -4*r**3 - 3*r**t + 6*r**3 - r**2.
-r**2*(r + 1)
Let f = -156 + 159. Let n(g) be the third derivative of 0*g**4 - 2*g**2 + 0 + 0*g**6 - 1/210*g**7 + 1/30*g**5 - 1/6*g**f + 0*g. Factor n(m).
-(m - 1)**2*(m + 1)**2
Let c = 552 + -550. Solve -1/4*g - 1/4*g**c + 0 = 0 for g.
-1, 0
Let m(v) be the second derivative of -5*v**7/231 - 2*v**6/165 + v**5/22 + v**4/33 - 10*v. Solve m(b) = 0 for b.
-1, -2/5, 0, 1
Let p(q) be the third derivative of -2*q**7/315 - q**6/45 + q**5/45 + q**4/9 + 5*q**2. Factor p(o).
-4*o*(o - 1)*(o + 1)*(o + 2)/3
Let x = -27/4 + 15/2. Factor -3/4*u**4 + 0 - 1/4*u**2 - 1/4*u**5 - x*u**3 + 0*u.
-u**2*(u + 1)**3/4
Factor 1/2*m**3 - m - 1/2*m**2 + 0.
m*(m - 2)*(m + 1)/2
Let p(r) be the second derivative of r**5/20 + r**4/3 + 2*r**3/3 - 4*r + 2. Suppose p(n) = 0. Calculate n.
-2, 0
Suppose -7*w = -3*w - 12. Let b(k) = 19*k**5 - 10*k**3 - 7*k**2 + 2*k**w - 18*k**5. Let o(z) = -z**3 - z**2. Let t(m) = 2*b(m) - 14*o(m). Factor t(d).
2*d**3*(d - 1)*(d + 1)
Let t(m) = m**2 + 1. Suppose 0 = 3*b - 2*b + 1. Let u(o) = 6*o - 8. Let c(l) = -1. Let s(x) = -6*c(x) + u(x). Let w(a) = b*s(a) + 2*t(a). Factor w(k).
2*(k - 2)*(k - 1)
Let t(u) be the second derivative of -u**4/16 - 5*u**3/4 - 75*u**2/8 - 24*u. Factor t(o).
-3*(o + 5)**2/4
Let o(s) = s**2 - 2*s + 3. Let j(x) = x**2 - 2*x + 4. Suppose -a - 2*l - 2 = 0, 4*a + 14 = l - 3. Let i(m) = a*o(m) + 3*j(m). Determine c, given that i(c) = 0.
0, 2
Let m(k) be the second derivative of k**4/48 + k**3/24 - 6*k. Factor m(r).
r*(r + 1)/4
Let k be (-1)/17*-2 + 640/3808. Suppose 0 + 4/7*y**3 + 0*y + k*y**2 = 0. Calculate y.
-1/2, 0
Find b, given that -5*b**2 + 2 + 4*b + 3*b**2 - 2 = 0.
0, 2
Suppose -5*y - 15 = -5*w, 0 = 7*y - 6*y - 4*w + 18. Determine x, given that y*x**2 - 8/3*x**3 + x**4 - 1/3 + 0*x = 0.
-1/3, 1
Let d be 0*((-3)/15)/((-2)/10). Determine m so that d*m - 1/2*m**2 + 0 = 0.
0
Suppose -6*i + 33 = 5*i. Solve 147/2*s**5 + 60*s - 6 - 525/2*s**4 - 435/2*s**2 + 705/2*s**i = 0 for s.
2/7, 1
Let o(l) be the first deriva