 2)*(f + 1)/11
Let y(b) be the third derivative of b**6/1080 + 7*b**5/540 + 7*b**4/108 + 4*b**3/27 + 12*b**2. Factor y(u).
(u + 1)*(u + 2)*(u + 4)/9
Find j, given that 1/2*j**2 + 0*j - 1/2 = 0.
-1, 1
Suppose -49 = 2*z - 3*r, -32 = 2*z - z - 3*r. Let m = -49/3 - z. Factor -1/3 - m*l + 2/3*l**3 + 1/3*l**2.
(l - 1)*(l + 1)*(2*l + 1)/3
Let n(j) be the third derivative of -j**7/280 - j**6/40 - 3*j**5/40 - j**4/8 + j**3/2 + 2*j**2. Let a(p) be the first derivative of n(p). Factor a(g).
-3*(g + 1)**3
Solve 73*j**2 - 43*j**2 - 8*j - 4 - 34*j**2 = 0 for j.
-1
Let p(r) = r**3 + 4*r**2 - 6*r - 4. Let z be p(-5). Let s be z/2*4/7. What is a in 0 - 2/7*a**2 + 0*a - s*a**4 + 4/7*a**3 = 0?
0, 1
Let a(h) be the first derivative of 5 - 3/8*h**4 + 0*h**2 + 0*h - 1/3*h**3 - 1/10*h**5. Suppose a(q) = 0. What is q?
-2, -1, 0
Let r(g) be the third derivative of -g**7/70 - g**6/10 - 3*g**5/20 + 2*g**2. Factor r(u).
-3*u**2*(u + 1)*(u + 3)
Let r(w) be the second derivative of -w**7/14 + 13*w**6/30 - 17*w**5/20 + w**4/4 + 4*w**3/3 - 2*w**2 + 3*w. Factor r(u).
-(u - 2)*(u - 1)**3*(3*u + 2)
Factor -2/9*j + 2/9*j**3 - 4/9 + 4/9*j**2.
2*(j - 1)*(j + 1)*(j + 2)/9
Factor -9*p**2 + 6 + 71*p - 2 - 55*p.
-(p - 2)*(9*p + 2)
Let w(l) be the second derivative of l**7/98 - 3*l**6/70 - 3*l**5/70 + 3*l**4/14 + l**3/14 - 9*l**2/14 + 7*l. Determine i so that w(i) = 0.
-1, 1, 3
Let p(h) be the first derivative of 4*h**3/3 - 4*h**2 + 4*h + 7. Factor p(z).
4*(z - 1)**2
Let s = -67 - -70. Let j(z) be the third derivative of -1/180*z**5 + 1/720*z**6 - 1/144*z**4 + 1/18*z**s + z**2 + 0 + 0*z. Determine y, given that j(y) = 0.
-1, 1, 2
Let f(l) be the first derivative of 1/18*l**4 - 2/9*l**3 + 2 - 2/9*l + 1/3*l**2. Factor f(w).
2*(w - 1)**3/9
Suppose -12 = -2*h - g, 0 = -h - 2*h + g + 8. What is d in -3*d + 3*d + 32*d**5 - 3*d**h - 33*d**5 - 3*d**3 - d**2 = 0?
-1, 0
Let j(b) be the second derivative of -b**8/6720 - b**7/504 - b**6/90 - b**5/30 + b**4/12 - 3*b. Let k(v) be the third derivative of j(v). Factor k(r).
-(r + 1)*(r + 2)**2
Solve 3*j**2 - 4 - 15*j - 6*j**2 + 5 - 13 = 0 for j.
-4, -1
Let s = -3 + -9. Let y be (-4)/s + 1/(-9). Factor -y*t**2 + 0 + 0*t.
-2*t**2/9
Factor 0*s**3 + 0 + 1/2*s**2 - 1/3*s - 1/6*s**4.
-s*(s - 1)**2*(s + 2)/6
Let u(k) = 3*k - k**2 - k - k - 2*k. Let x(r) = 3*r**2 + 3*r - 2. Let t(b) = 2*u(b) + x(b). Factor t(h).
(h - 1)*(h + 2)
Let x = 2038 - 48905/24. Let k = x + -1/24. Suppose 1/4*c**5 + k*c + 0*c**2 + 0*c**4 - 1/2*c**3 + 0 = 0. Calculate c.
-1, 0, 1
Let h(v) be the second derivative of v**6/180 + 5*v**3/6 - 4*v. Let j(b) be the second derivative of h(b). Determine f, given that j(f) = 0.
0
Let w = 44 - 87/2. Let v(j) be the first derivative of -2 + 1/3*j**3 - w*j**2 + 0*j. Suppose v(b) = 0. What is b?
0, 1
Let w(t) be the second derivative of -1/126*t**7 + 1/18*t**4 + 0 + 1/15*t**5 - 1/6*t**3 + 0*t**6 - 1/3*t**2 - 5*t. What is h in w(h) = 0?
-1, 1, 2
Let k(g) be the second derivative of -g**7/7560 + g**6/540 - g**5/90 - g**4/6 + 2*g. Let u(d) be the third derivative of k(d). Suppose u(y) = 0. Calculate y.
2
Let y(j) = 4*j**2 + 14*j - 14. Let h(i) = i. Let z be h(6). Let t(f) = -3*f**2 - 13*f + 13. Let p(u) = z*t(u) + 5*y(u). Factor p(l).
2*(l - 2)**2
Suppose 4*g = 5*d - 70, 5*g + 7 = -18. Suppose x - 2*t = d, -6*t = -x - 5*t + 6. Suppose 6*j**3 - 5*j**2 + j**4 + x*j - j**2 - 3*j**4 = 0. What is j?
0, 1
Let c = 9 + 29. Let z be c/(-6) + 3 - -4. Factor -4/3*v**2 - 2/3*v**5 + 4/3*v**3 + 2/3 + 2/3*v**4 - z*v.
-2*(v - 1)**3*(v + 1)**2/3
Let f(z) = -30*z**3 + 55*z**2 - 35*z - 5. Let w(p) = p**3 + p**2 - 1. Let u(n) = -f(n) - 15*w(n). Solve u(x) = 0.
-1/3, 1, 4
Let g(r) be the first derivative of -r**6/10 + 3*r**5/10 - r**3 + 3*r**2/2 - 2*r - 4. Let n(a) be the first derivative of g(a). Factor n(w).
-3*(w - 1)**3*(w + 1)
Suppose -3*h + 7*h = -3*j + 8, -4*h + 3*j + 8 = 0. Let 0*f**3 - 2/7*f**4 + 0*f + 0 + 2/7*f**h = 0. What is f?
-1, 0, 1
Let b(s) be the first derivative of s**4/18 - 2*s**3/9 + 2*s**2/9 - 20. Suppose b(p) = 0. Calculate p.
0, 1, 2
Let a = 3 + -3. Let x(o) be the third derivative of 0*o + 0*o**3 + o**2 + 1/12*o**4 + a + 1/30*o**5. Factor x(c).
2*c*(c + 1)
Let j(k) = k**2 - 5*k - 2. Let s be j(6). Solve -2*r**4 - 4*r**s + r**5 + r**3 + 4*r**4 = 0.
0, 1
Suppose 0 = 4*u + 3*h + 26, -3*u + 4*u + 4*h = -13. Let s be (-2)/u + 48/30. Find r, given that -5 + s*r + 5 - 9*r**2 + 8*r**2 - 1 = 0.
1
Let o be 3*(-4)/(-30)*5. Let j = 741/7 + -105. Let -6/7*t**3 + 0*t + 0 - j*t**4 + 4/7*t**o + 4/7*t**5 = 0. Calculate t.
-1, 0, 1/2, 2
Let f(l) be the third derivative of l**8/672 - l**7/420 - l**6/80 + l**5/120 + l**4/24 - 11*l**2. Determine z so that f(z) = 0.
-1, 0, 1, 2
Let w(m) be the second derivative of m**7/105 - m**6/25 + 3*m**5/50 - m**4/30 + 21*m. Factor w(q).
2*q**2*(q - 1)**3/5
Suppose -4 = s, -3*w + 5*s + 3 = -17. Let -u + w + 1/2*u**2 = 0. What is u?
0, 2
Determine b, given that -36/7*b + 6/7*b**2 + 12/7*b**3 - 27/7 - 3/7*b**4 = 0.
-1, 3
Suppose 0 = -c + 9*c - 6*c. Let q(s) be the second derivative of 0 + c*s**4 + 0*s**5 + 0*s**3 + 1/90*s**6 + 0*s**2 + 1/126*s**7 + 2*s. Factor q(g).
g**4*(g + 1)/3
Factor -8 - 162*i**3 + 6*i - 26*i**2 - 38*i + 156*i**3.
-2*(i + 2)**2*(3*i + 1)
Let d be (-10)/(-8) + (-2)/8. Let b be 0 - -8 - (2 + d). Factor 10/7*x - 2/7 + 2/7*x**b - 20/7*x**2 + 20/7*x**3 - 10/7*x**4.
2*(x - 1)**5/7
Let g be -2 - (2*-1 + 0). Suppose -h + 0 + 3 = g. Factor o**h + 2*o**2 + 2*o - 2*o**3 - o**3 - 2.
-2*(o - 1)**2*(o + 1)
Let b(y) = 4*y**4 - 25*y**3 + 58*y**2 - 45*y + 6. Let s(c) = -c**3 + c**2 + c + 1. Let d(n) = b(n) + 3*s(n). Find f, given that d(f) = 0.
1/2, 3
Let v(j) = j**2 - 5*j - 5. Let o(f) = f**2 - 2*f - 2. Let k(g) = 5*o(g) - 2*v(g). Find x, given that k(x) = 0.
0
Let u be 4/(-18) - (-14 - (-2435)/180). Find f such that -u*f**3 + 1/4*f**2 + 1/4*f - 1/4 = 0.
-1, 1
Let f be 5 - (5 + 7/(-28)). Factor -1/4*r**3 + f*r**2 + 0 + 0*r.
-r**2*(r - 1)/4
Let g(h) be the third derivative of -1/6*h**4 - 1/6*h**5 + 0*h**3 - 1/105*h**7 - 4*h**2 - 1/15*h**6 + 0*h + 0. Determine j, given that g(j) = 0.
-2, -1, 0
Let d(q) = -8*q**2 - 16*q + 5. Let s(r) = 4*r**2 + 8*r - 2. Let k(n) = -2*d(n) - 5*s(n). Factor k(w).
-4*w*(w + 2)
Suppose 5*o + 14 = 12*o. Let y(b) be the first derivative of 4 + 1/12*b**3 + 1/8*b**o + 0*b. Determine q so that y(q) = 0.
-1, 0
Let d = -191/539 + 65349/91630. Let p = d + 15/34. Let -p*x + 0 - 2*x**2 = 0. What is x?
-2/5, 0
Let r(l) = l**3 - 4*l**2 + 3*l - 3. Let k be r(3). Let p be (-2)/((-12)/(-10))*k. Suppose 2*d**3 - 2*d**4 - 4*d**p - 5*d**5 + 7*d**5 + 2*d**2 = 0. Calculate d.
-1, 0, 1
Let i(a) = a**3 + 5*a**2. Let r(s) = s**3 + 6*s**2. Suppose 2*j - 3*h = 0, -2*j - 2*h + 23 = 3. Let w(v) = j*i(v) - 5*r(v). Suppose w(g) = 0. What is g?
0
Let w be 2/(-7) - 100/(-546). Let k = 3/13 - w. Determine b, given that 0 - 1/3*b**3 - 1/3*b**4 + k*b + 1/3*b**2 = 0.
-1, 0, 1
Let a(p) be the first derivative of 0*p + 1/12*p**6 - 1/8*p**4 + 2 - 1/10*p**5 + 0*p**2 + 1/6*p**3. Factor a(l).
l**2*(l - 1)**2*(l + 1)/2
Let t(x) be the second derivative of x**7/8820 + x**6/1260 + x**5/420 + x**4/4 + x. Let k(c) be the third derivative of t(c). Factor k(g).
2*(g + 1)**2/7
Suppose -2*m + 26 = 5*o, 2*o - 19 = -4*m + 1. Find i such that -3 - 3*i**m - 6*i**2 - 30*i + 21*i - 3*i**2 = 0.
-1
Let z = -173/5 - -35. Let 0*i + 2/5*i**2 - z = 0. What is i?
-1, 1
Suppose -4*p - 13 = -13. Let y(l) be the first derivative of 0*l**3 + 1 - 2/5*l**5 + 0*l**2 - 1/3*l**6 + 0*l**4 + p*l. Let y(v) = 0. What is v?
-1, 0
Suppose -3*z + 60 = -0*z. Factor 0 + 0 - 24*y**2 + 8*y + z*y**2.
-4*y*(y - 2)
Find h, given that 3/4*h**3 + 3/4*h + 3/2*h**2 + 0 = 0.
-1, 0
Let j(l) be the first derivative of 2/5*l**5 + 0*l - 1/7*l**6 - 2/7*l**3 + 1 + 2/7*l**2 - 3/14*l**4. Factor j(o).
-2*o*(o - 1)**3*(3*o + 2)/7
Factor -2/9*g**2 + 0 + 0*g - 2/9*g**4 + 4/9*g**3.
-2*g**2*(g - 1)**2/9
Let a = -9/7 + 94/35. Determine n, given that a*n**5 + 14/5*n**2 - 3/5*n - 4/5*n**3 - 2/5 - 12/5*n**4 = 0.
-1, -2/7, 1
Suppose 0 = 3*n - 2*n. Factor w**3 + n*w**4 + 3*w + 9*w**2 - w + 5*w**4 + 11*w**3.
w*(w + 1)**2*(5*w + 2)
Suppose -5*f + 59 = 49. Let z = -23/2 - -12. Factor z*k**f + 1/2 + k.
(k + 1)**2/2
Let p(a) be the third derivative of a**6/540 + a**5/135 + a**4/108 - 2*a**2. What is t in p(t) = 