3*r**4 - 7*r**3 - 4*r**5 - 6*r**4.
-4*r**3*(r + 1)*(r + 2)
Factor 66*g - 3 - 29*g + 3*g**2 - 3*g**3 - 34*g + 0*g**2.
-3*(g - 1)**2*(g + 1)
Let o(u) be the second derivative of -u**4/21 - 2*u**3/21 + 12*u**2/7 - 38*u. Factor o(l).
-4*(l - 2)*(l + 3)/7
Let d(l) = 4*l + 43. Let z be d(-10). Let o(t) be the third derivative of 0 + 3*t**2 + 1/15*t**z + 1/100*t**5 - 1/24*t**4 + 0*t. Factor o(k).
(k - 1)*(3*k - 2)/5
Suppose -3*k - 2*j + 6*j = -18, 0 = 3*k + 5*j + 9. Let o(z) be the first derivative of 2/7*z**3 - k + 2/7*z + 1/14*z**4 + 3/7*z**2. Factor o(w).
2*(w + 1)**3/7
Factor y**2 - 7*y**5 + 9*y**3 + 10*y**5 - 9*y**4 - 4*y**2.
3*y**2*(y - 1)**3
Let s = 9 - 7. Suppose h = -2*h + 6. Factor 5*c**5 - 3*c**3 + s*c - 5*c**4 + 3*c**2 + h*c**4 - 4*c**3.
c*(c - 1)**2*(c + 1)*(5*c + 2)
Let r be (18/(-4) + 3)*(-1)/162. Let z(o) be the third derivative of 0 - 2*o**2 + 1/270*o**5 + 0*o**3 + r*o**4 + 0*o. Suppose z(u) = 0. Calculate u.
-1, 0
Let g be (-16)/36 + (-2)/(-3). Factor 0*d + 2/9*d**2 - g.
2*(d - 1)*(d + 1)/9
Let i(a) be the first derivative of -45*a**4/4 + 100*a**3/3 - 10*a**2 + 7. Factor i(d).
-5*d*(d - 2)*(9*d - 2)
Let o(m) = 16*m**5 - 16*m**4 - 4*m**3 + 4*m**2 - 12*m. Let y(i) = i**5 - i**4 - i. Let w(l) = -o(l) + 12*y(l). Determine t, given that w(t) = 0.
-1, 0, 1
Suppose 0*m = 2*m + 4*m. Let k(r) be the third derivative of -2*r**2 + 0*r - 2/27*r**4 + m + 4/27*r**3 + 1/90*r**5. Factor k(j).
2*(j - 2)*(3*j - 2)/9
Let q(o) be the second derivative of 5*o**7/42 - o**6/20 - o**5/40 - 12*o. Find y such that q(y) = 0.
-1/5, 0, 1/2
Let v(f) be the first derivative of 4*f**3/3 - 2*f**2 - 8*f + 13. Factor v(l).
4*(l - 2)*(l + 1)
Let f(x) be the third derivative of -x**8/6720 + x**7/1260 + x**4/12 - 9*x**2. Let i(h) be the second derivative of f(h). Suppose i(l) = 0. What is l?
0, 2
Let m(l) = l**3 + 2*l - 1. Let d be m(1). Suppose -t + 7 = d*y - 2*t, -3*t - 19 = -5*y. Factor -1/3*p**4 - y*p**2 - 4/3*p - 4/3*p**3 - 1/3.
-(p + 1)**4/3
Factor 9*p - 4*p + p**3 - 18*p**2 + 2 + 22*p**2.
(p + 1)**2*(p + 2)
Let x be 0/(-2) + (-4)/(-1). Let i(z) = 3*z. Let s be i(1). Determine d so that -2/7*d**2 - 8/7*d**x + 10/7*d**s + 0*d + 0 = 0.
0, 1/4, 1
Let k(d) = d**2 - 3*d - 1. Let r be k(4). Factor 0*m**2 - m**2 + r*m**2 - 2.
2*(m - 1)*(m + 1)
Let h(d) be the second derivative of 5*d**7/42 - d**6/3 - 16*d. Factor h(a).
5*a**4*(a - 2)
Let k = -14 - -16. What is v in -11*v**k - 4*v**3 + v - v + 9*v**2 + 6*v**4 = 0?
-1/3, 0, 1
Suppose 4*z - 2*d = -2 + 16, -5*z = d - 7. Determine q, given that 0 + 0*q - 8/7*q**4 - 2/7*q**z - 10/7*q**3 = 0.
-1, -1/4, 0
Let k(q) = q**2 - 14*q + 17. Let i be k(13). Let p(v) be the second derivative of 2*v + 0*v**3 - 1/36*v**i + 0 + 0*v**2 - 1/15*v**5. Find c such that p(c) = 0.
-1/4, 0
Let z(a) be the first derivative of 7*a**6/24 + 3*a**5/5 - 25*a**4/16 - 11*a**3/6 + 9*a**2/2 - 2*a - 5. Determine y so that z(y) = 0.
-2, 2/7, 1
Let u be 0/(10/(-25)*5). Factor u + 2/5*p - 2/5*p**2.
-2*p*(p - 1)/5
Factor 4/17*b**2 + 8/17*b**3 - 18/17 - 24/17*b - 2/17*b**4.
-2*(b - 3)**2*(b + 1)**2/17
Let c(m) = 2*m**2 + 3*m + 2. Let d be c(-2). Suppose 0 = 6*w - d*w - 12. Suppose -3*n**3 - n + w*n**2 + 2*n**4 + 9*n**3 + 3*n = 0. What is n?
-1, 0
Let y be (22/(-24))/(-11)*4. What is n in 1/3*n**2 - y*n + 0 = 0?
0, 1
Let u(k) be the second derivative of 3*k**3 + 9*k**2 + 1/2*k**4 + 0 + 1/30*k**5 + k. Let u(i) = 0. What is i?
-3
Let h(d) = d**2 + 6*d - 5. Let o be h(-7). Factor -13*v + 8*v + 4*v - v**o.
-v*(v + 1)
Let f = 32 - 29. Solve 6/5*o**4 + 4/5*o + 0 - 16/5*o**f + 6/5*o**2 = 0.
-1/3, 0, 1, 2
Suppose -21*h = -3*h. Let g(u) be the second derivative of -u - 1/3*u**3 + h + 1/6*u**4 + 0*u**2. Factor g(r).
2*r*(r - 1)
Suppose -q = 5*v - 11, 5*q = 5*v - v - 3. Let y = 0 + v. Find i, given that 12*i**3 - 45*i**4 + 12*i**3 + 0*i**3 - 4*i**y + 25*i**5 = 0.
0, 2/5, 1
Suppose 2 = c + 3*p, -c + 3*p = -1 - 1. Suppose c*l - 3 = l. What is u in -1/5*u + 1/5*u**2 + 1/5*u**l - 1/5 = 0?
-1, 1
Factor 0*q**4 + 5*q + 12*q**3 + 15*q**2 + q + 3*q**4.
3*q*(q + 1)**2*(q + 2)
Let n be 1/(-1)*-3 - -1. Suppose 1 + n*l + l - 2*l**2 - 4*l = 0. What is l?
-1/2, 1
Let d(h) be the first derivative of 3/5*h**5 - 1/6*h**6 - h + 3/2*h**2 - 1/2*h**4 + 3 - 2/3*h**3. Find a, given that d(a) = 0.
-1, 1
Let g(d) be the second derivative of -d**7/3360 - d**6/720 - d**5/480 - 2*d**3/3 + 2*d. Let c(a) be the second derivative of g(a). Factor c(j).
-j*(j + 1)**2/4
Let d = -131 - -921/7. Factor 0 - d*n**3 + 4/7*n + 2/7*n**2 - 2/7*n**4.
-2*n*(n - 1)*(n + 1)*(n + 2)/7
Let b(k) be the first derivative of k**6/3 + 14*k**5/5 + 15*k**4/2 + 6*k**3 - 14. Suppose b(h) = 0. What is h?
-3, -1, 0
Let b(m) be the first derivative of -2*m**3/15 - 8*m**2/5 - 32*m/5 - 8. Factor b(k).
-2*(k + 4)**2/5
Let o(a) be the first derivative of a**6/9 - a**4/6 + 6. Determine m so that o(m) = 0.
-1, 0, 1
Let v(n) be the second derivative of 3*n**5/80 + 3*n**4/16 + n**3/4 - 4*n. Solve v(f) = 0 for f.
-2, -1, 0
Let w = -9/8 - -99/8. Determine l so that 21/2*l**2 - w*l**3 - 27/4*l**4 + 9*l - 6 = 0.
-2, -1, 2/3
Let s(r) be the third derivative of r**8/151200 + 2*r**5/15 + 4*r**2. Let q(k) be the third derivative of s(k). Find x, given that q(x) = 0.
0
Let c be -2*1 - 55/(-27). Let m(d) be the second derivative of -2*d + 0 + 0*d**2 + 1/54*d**4 + c*d**3. Factor m(i).
2*i*(i + 1)/9
Let f = 17 - 14. Let j = 3 - f. Solve 2/7*h**2 + j + 4/7*h = 0.
-2, 0
Suppose -4 = -f + 5. Let v be (-6)/(-2) + -12 + f. Factor 10/9*y**2 + 2/9*y**4 + 8/9*y**3 + v + 4/9*y.
2*y*(y + 1)**2*(y + 2)/9
Factor 0*h + 0*h**2 - 2/5*h**5 + 0 - 12/5*h**4 - 2*h**3.
-2*h**3*(h + 1)*(h + 5)/5
Factor 0 + 16/7*p + 12/7*p**3 + 52/7*p**2.
4*p*(p + 4)*(3*p + 1)/7
Let z(k) be the second derivative of 5*k**4/26 - 17*k**3/39 + 2*k**2/13 - 5*k. Solve z(q) = 0.
2/15, 1
Let h(p) be the second derivative of p**7/18 + 23*p**6/90 + 9*p**5/20 + 13*p**4/36 + p**3/9 + 10*p. Factor h(k).
k*(k + 1)**3*(7*k + 2)/3
Let g(l) = 5*l**2 - 7*l - 7. Let i(b) = 4*b**2 - 6*b - 6. Let v(s) = 6*g(s) - 7*i(s). Find p, given that v(p) = 0.
0
Suppose 5*o = 2*o. Let x(h) be the first derivative of 1 - 2/3*h + o*h**2 + 2/9*h**3. Factor x(r).
2*(r - 1)*(r + 1)/3
Let z = -26 - -38. Suppose 0 = 2*h + 4*p - z, 2*p = 2*h. Factor -2*v**2 + 0*v**2 + 4*v**4 - h*v**4.
2*v**2*(v - 1)*(v + 1)
Let r(j) be the second derivative of -1/4*j**4 + 0 - 5/6*j**3 - 1/40*j**6 + 4*j + 0*j**2 - 1/8*j**5. Let b(m) be the second derivative of r(m). Factor b(a).
-3*(a + 1)*(3*a + 2)
Let q be (2/(-2))/((-8)/6). Let b be 21/(-4) + 4 + 2. Factor -1/4*g**2 - q*g**4 + 0 + 0*g - 1/4*g**5 - b*g**3.
-g**2*(g + 1)**3/4
Let p = -4 + 4. Suppose p = 2*j + 2*j. Let -3/2*d**2 + j + 3/2*d = 0. What is d?
0, 1
Suppose 2*t**2 + 0*t**3 - 4*t**5 - 2*t**5 + 7*t**5 - 3*t**3 = 0. Calculate t.
-2, 0, 1
Let y(p) = -p**2 + 6*p - 6. Let i be y(4). Let j = 11 - 7. Determine f, given that -f**5 + f**3 - 3*f**3 + j*f**4 + 4*f**i - f - 4*f**3 = 0.
0, 1
Let v(a) = -50*a**3 + 510*a**2 - 1055*a + 715. Let t(b) = 3*b**3 - 30*b**2 + 62*b - 42. Let m(u) = -35*t(u) - 2*v(u). Determine s so that m(s) = 0.
2
Factor 0 + 6/13*g**4 + 0*g + 22/13*g**3 - 8/13*g**2.
2*g**2*(g + 4)*(3*g - 1)/13
Let c = 5 + 2. Suppose r + 3*w = -6, 4*w - 3*w = -r. Factor o - 3*o**3 - 2*o**5 - 3*o + c*o**r.
-2*o*(o - 1)**2*(o + 1)**2
Factor -6/19 + 4/19*w + 2/19*w**2.
2*(w - 1)*(w + 3)/19
Let q(x) be the second derivative of -6*x + 11/60*x**4 + 0 - 1/30*x**3 + 32/105*x**7 - 9/25*x**5 + 0*x**2 + 8/75*x**6. Suppose q(h) = 0. What is h?
-1, 0, 1/4
Let k(a) be the first derivative of -4*a**5/5 + 4*a**4 - 4*a**3 + 16. Determine j so that k(j) = 0.
0, 1, 3
Let k(z) = 6*z**5 - 9*z**4 - z**3 + 9*z**2 - 4*z + 1. Let m(d) = -d**5 - d**4 + d**3 + d**2 - d - 1. Let l(a) = -k(a) - m(a). Factor l(r).
-5*r*(r - 1)**3*(r + 1)
Let i(l) = -5*l**2 - 10*l. Let m(z) = -30*z**2 - 60*z. Let c(v) = 25*i(v) - 4*m(v). Suppose c(n) = 0. What is n?
-2, 0
Suppose -a + 5 - 3 = 0. Let q(b) be the first derivative of 8/27*b**3 + 1/18*b**4 + 3 + 4/9*b + 5/9*b**a. Determine w so that q(w) = 0.
-2, -1
Let s(i) be the second derivative of -3/10*i**2 - 4*i + 3/10*i**3 + 1/5*i**4 + 0. Factor s(y).
3*(y + 1)*(4*y - 1)/5
Let o(g) = 4*g**3 - 6*g**2 + 32*g + 24. Let t(s) = -5*s**3 + 8*s**2 - 32*s - 24. Let j(d) = -7*o(d) - 6*t(d). Fact