(l + 1)**2
Let k be 114/27 - 4/18. Let u(n) = n**3 - 3*n - 2. Let c be (35 + -2)*12/18. Let y(a) = -6*a**3 + a**2 + 16*a + 11. Let x(d) = c*u(d) + k*y(d). Factor x(i).
-2*i*(i - 1)**2
Let d be (4 + -4)*(-5)/15. Factor 0*y + d*y**3 - 16/3*y**2 + 2/3*y**4 + 32/3.
2*(y - 2)**2*(y + 2)**2/3
Let i = -12 + 16. Suppose i*w - 1 - 15 = 0. Let w - 5 - 6*y**3 - 4*y**2 + 14*y - 3 = 0. Calculate y.
-2, 1/3, 1
Let -11*l - 9*l + 4*l - 3*l**2 + 7*l + 84 = 0. Calculate l.
-7, 4
Factor -2*x + x**2 + 0 - 1/8*x**3.
-x*(x - 4)**2/8
Let m = 41650 + -41645. Factor 0 + 0*c**3 + 0*c - 4/5*c**m - 4/5*c**4 + 0*c**2.
-4*c**4*(c + 1)/5
Let i be (-4)/28*(6 - -10 - 4) + 2. Factor h**4 + i*h**3 + 0*h**2 + 0 + 0*h.
h**3*(7*h + 2)/7
Let o be (4/27)/((-30)/(-45)). Determine y so that -8 - 8/3*y - o*y**2 = 0.
-6
Suppose 0 = 123*f - 41*f - 164. Let u(v) be the third derivative of -1/40*v**5 + 0*v + 0 - v**f + 1/16*v**4 + 0*v**3. Factor u(l).
-3*l*(l - 1)/2
Let m(o) = -1. Suppose 0 = 4*i + a + 57, -2*a + 56 = -3*i + 5. Let x(g) = -2*g**3 - g**2 + g - 3. Let t(n) = i*m(n) + 5*x(n). Determine j, given that t(j) = 0.
-1, 0, 1/2
Let w(z) be the second derivative of -z**6/30 - 14*z**5/5 - 419*z**4/6 - 252*z**3 - 729*z**2/2 - 37*z - 6. Factor w(g).
-(g + 1)**2*(g + 27)**2
Let k(o) = -9*o**3 + 17*o**2 - 31*o + 7. Let g(r) = 17*r**3 - 36*r**2 + 63*r - 16. Let w(b) = 4*g(b) + 7*k(b). Factor w(y).
5*(y - 3)*(y - 1)**2
Let p(o) be the third derivative of 2*o**7/105 - 2*o**6/15 + o**5/3 - o**4/3 - 29*o**2 + 2*o. Factor p(v).
4*v*(v - 2)*(v - 1)**2
Let v(s) = -18*s - 40. Let n be v(12). Let l = -254 - n. Factor -3/4*c + 0 - 3/4*c**l.
-3*c*(c + 1)/4
Let v(o) be the third derivative of -o**7/525 - o**6/60 - o**5/150 + 7*o**4/20 + 6*o**3/5 - 128*o**2. Suppose v(d) = 0. Calculate d.
-3, -1, 2
Let k = 51 + -49. Let q be 26/(-5) - 186/(-31). Factor -q*h**5 + 0*h + 0 - 4/5*h**k + 4/5*h**3 + 4/5*h**4.
-4*h**2*(h - 1)**2*(h + 1)/5
Determine o so that 2/9*o + o**2 - 1/9*o**4 - 2/9*o**3 - 8/9 = 0.
-4, -1, 1, 2
Let -1/6*i**4 - 2/3*i + 1/6*i**3 + 2/3*i**2 + 0 = 0. Calculate i.
-2, 0, 1, 2
Let i(o) be the second derivative of -o**5/20 - o**4/4 + 4*o**3 - 14*o**2 - 996*o. Factor i(b).
-(b - 2)**2*(b + 7)
Let g = 3155/14076 - 3/1564. Factor -8/9*u + 2/3 + g*u**2.
2*(u - 3)*(u - 1)/9
Let g be ((-30)/(-550))/(378/30). Let c(y) be the second derivative of 2*y + 1/66*y**4 + 0 + 0*y**2 + 0*y**3 - 1/165*y**6 - 1/110*y**5 + g*y**7. Factor c(z).
2*z**2*(z - 1)**2*(z + 1)/11
Let g be ((32/(-10))/((-46)/(-115)))/((-8)/4). Let t be ((-1)/(-4))/((-5)/(-4)). Let 0 + 0*l - 2/5*l**3 - 1/5*l**g - t*l**2 = 0. Calculate l.
-1, 0
Let b = -2025 - -6220/3. Let w = b - 48. Suppose 0 - 1/6*f**2 - w*f + 1/3*f**3 + 1/6*f**4 = 0. What is f?
-2, -1, 0, 1
Let o(f) be the first derivative of -f**3/6 + 7*f**2 + 29*f/2 + 375. Determine s so that o(s) = 0.
-1, 29
Let t = 836 - 832. Suppose 2*g**2 - 9/5*g**t + g**5 - 3/5*g - 2/5*g**3 - 1/5 = 0. Calculate g.
-1, -1/5, 1
Let b(c) be the second derivative of 0 + 8*c - 1/3*c**4 - 2/3*c**3 + 0*c**2. Factor b(z).
-4*z*(z + 1)
Let f be (-29)/(-21) + 2/7 - 173/519. Let 16/3*y**2 - 32/3*y + 0 + 8/3*y**3 - f*y**4 = 0. Calculate y.
-2, 0, 2
Let n(v) = -4*v - 9. Let d(w) = w + 1. Let h(l) = -12*d(l) - 4*n(l). Let b be h(-5). Find r, given that -4/5*r - 8/5*r**2 + 9/5*r**b + 3/5*r**3 + 0 = 0.
-2/3, 0, 1
Suppose -5*m - 4*z = -3*z + 1, 5*z = 2*m - 5. Suppose m*c + 18 = 3*c. Factor c - 4*p + 7*p + 5*p**2 - 8*p**2.
-3*(p - 2)*(p + 1)
Let q(r) be the third derivative of r**5/270 + 49*r**4/108 - 50*r**3/27 - 4*r**2 - 2*r. Find j, given that q(j) = 0.
-50, 1
Factor 803 - 135*i + 23*i + 32*i**2 - 14*i**2 - 16*i**2 + 765.
2*(i - 28)**2
Let k(d) = 427*d - 3810. Let n be k(9). Let j = -3 + 6. Suppose 0 - 12*g**2 + 154/5*g**j - n*g**4 + 63/5*g**5 + 8/5*g = 0. What is g?
0, 2/7, 2/3, 1
Let h = 49 - 40. Solve 0 - 3*t**4 - 3*t + 3*t**3 - 1 - 4 + h*t**2 - 1 = 0 for t.
-1, 1, 2
Determine z, given that -12/5*z**2 + z**4 + 3/5*z**5 - 34/5*z**3 + 56/5*z + 32/5 = 0.
-4, -1, -2/3, 2
Factor 69/4*g - 15/2 + 15/4*g**2.
3*(g + 5)*(5*g - 2)/4
Suppose 4*b - 40 = -0*b + 4*s, -2*b + 3*s + 28 = 0. Solve 4/3*a + 0 - 2*a**2 - 4/3*a**3 + b*a**4 = 0.
-1, 0, 2/3, 1
Let q(c) be the third derivative of c**7/280 - c**6/160 - c**5/80 + c**4/32 - 142*c**2. Factor q(k).
3*k*(k - 1)**2*(k + 1)/4
Let r(t) be the second derivative of -2*t**7/441 + 19*t**6/315 - t**5/3 + 125*t**4/126 - 12*t**3/7 + 12*t**2/7 + 2*t + 45. Let r(u) = 0. What is u?
1, 3/2, 2, 3
Let t(m) be the second derivative of -1/12*m**4 + 0 + 1/36*m**3 + 1/10*m**5 + 1/84*m**7 + 0*m**2 - 1/18*m**6 - 6*m. Factor t(i).
i*(i - 1)**3*(3*i - 1)/6
Let k(v) be the second derivative of v**7/168 + v**6/24 + v**5/40 - v**4/6 + 674*v. Determine f, given that k(f) = 0.
-4, -2, 0, 1
Suppose -225 = 29*t - 26*t. Let i = t + 227/3. Factor 0*c + i*c**4 + 2/3*c**2 - 4/3*c**3 + 0.
2*c**2*(c - 1)**2/3
Let q(o) be the third derivative of -o**8/1848 - 5*o**7/231 - 19*o**6/110 + 266*o**5/165 - 98*o**4/33 + 27*o**2 + o. Determine x, given that q(x) = 0.
-14, 0, 1, 2
Let f(q) be the third derivative of -q**6/3600 + q**4/60 + 11*q**3/6 + 23*q**2. Let c(w) be the first derivative of f(w). Factor c(n).
-(n - 2)*(n + 2)/10
Let k(h) be the third derivative of h**9/756 - h**7/70 - h**6/45 - 8*h**3/3 + 24*h**2. Let r(f) be the first derivative of k(f). Find x, given that r(x) = 0.
-1, 0, 2
Let -288/7 - 2/7*n**2 - 48/7*n = 0. Calculate n.
-12
Let y(b) = b**3 + 3*b**2 - b - 1. Let r be y(1). Find s, given that 0*s**r - 5 - 12 + 16*s + 4*s**2 - 3 = 0.
-5, 1
Let z(u) be the second derivative of u**5/10 + 3*u**4/2 - u**3/3 - 9*u**2 - 8*u + 6. Factor z(b).
2*(b - 1)*(b + 1)*(b + 9)
Let c(z) be the first derivative of z**5/110 - 5*z**4/132 - 2*z**3/33 + 29*z**2/2 + 5. Let g(f) be the second derivative of c(f). Factor g(n).
2*(n - 2)*(3*n + 1)/11
Suppose 4*l = 2*l + 3*w + 6, 0 = 4*w. Find b such that 32*b**2 - 12*b**l - 29*b + 22*b - 9*b = 0.
0, 2/3, 2
Let y(q) be the second derivative of q**4/36 - 8*q**2/3 - 12*q + 20. Factor y(n).
(n - 4)*(n + 4)/3
Let u(g) = -11*g - 149. Let o be u(-14). Let a(m) be the third derivative of 3*m**2 + 0*m - 1/2*m**3 - 1/20*m**o - 1/4*m**4 + 0. Solve a(f) = 0 for f.
-1
Find f, given that 0 + 3/2*f**4 + 0*f - 3*f**2 + 3/2*f**3 = 0.
-2, 0, 1
Let c(g) = -4*g + 5. Let u be c(2). Let p(v) = v**3 + 3*v**2 + 4. Let j be p(u). Factor 9*z**2 + 2 - 3*z**j + z**4 + 3*z**4 - 7*z - 5*z**3.
(z - 2)*(z - 1)**3
Let g(r) be the second derivative of -r**4/4 - 5*r**3 + 36*r**2 - 5*r - 10. Suppose g(f) = 0. What is f?
-12, 2
Solve -7/5*h**5 - 58/5*h**3 - 107/5*h**4 + 2932/5*h**2 - 160 - 392*h = 0.
-10, -2/7, 1, 4
Let l(o) be the first derivative of o**5/4 + 5*o**4/4 + 5*o**3/3 + 10*o - 10. Let k(q) be the first derivative of l(q). Factor k(s).
5*s*(s + 1)*(s + 2)
Suppose 2*y + 206 = 4*y - 2*h, 418 = 4*y + 2*h. Let p = 106 - y. Factor -14/11*s - 4/11 - 10/11*s**p.
-2*(s + 1)*(5*s + 2)/11
Let -4*p + 40/3 - 64/3*p**2 - 4*p**3 = 0. Calculate p.
-5, -1, 2/3
Let q(p) be the first derivative of 0*p - 1/5*p**4 + 5 - 1/45*p**6 - 8/75*p**5 - 1/15*p**2 - 8/45*p**3. Let q(v) = 0. Calculate v.
-1, 0
Let t(v) = -30*v**4 + 40*v**3 + 95*v**2 + 30*v. Let j(c) = -31*c**4 + 40*c**3 + 95*c**2 + 30*c. Let o(b) = 5*j(b) - 6*t(b). Factor o(k).
5*k*(k - 3)*(k + 1)*(5*k + 2)
Suppose 99*d - 278 + 80 = 0. What is v in 2 - 4/3*v - 2/3*v**d = 0?
-3, 1
Let c = -1363 + 1366. What is s in 0 - 1/2*s + s**2 - 1/2*s**c = 0?
0, 1
Let 272/7 - 4/7*m**3 - 68/7*m**2 + 16/7*m = 0. Calculate m.
-17, -2, 2
What is j in 2*j**2 + 122/3 + 368/3*j = 0?
-61, -1/3
Let u be (12/(-8) - 0)*(-24)/9. Factor 43*z**4 + 15 - 10*z**2 + 20*z**3 - 88*z**u - 20*z + 40*z**4.
-5*(z - 3)*(z - 1)**2*(z + 1)
Factor m**2 - 2/5*m + 0 - 4/5*m**3 + 1/5*m**4.
m*(m - 2)*(m - 1)**2/5
Let k be 9 - (138/(-24) - -14). Factor -3/4*t - 3/4*t**2 + 0 + k*t**4 + 3/4*t**3.
3*t*(t - 1)*(t + 1)**2/4
Let a be (2/(-4))/((-74)/592). Let g(w) be the second derivative of 0 - 1/21*w**4 + 0*w**2 - 4/21*w**3 - a*w. Factor g(x).
-4*x*(x + 2)/7
Let b(w) be the second derivative of 0 - 5/6*w**3 + 1/12*w**4 - 2*w + 2*w**2. Factor b(i).
(i - 4)*(i - 1)
Let g(m) = m**3 - 230 + 240*m - 94 - 59*m**2 - 5*m**2. Let n(o) = 65*o**2 - 240*o + 325. Let h(y) = 5*g(y) + 4*n(y). Factor h(s).
5*(s - 4)**3
Let r(b