0.
0, 2/11
Let y = -1 - -3. Factor 8*x - x**2 + 6 + y*x**2 + x**2.
2*(x + 1)*(x + 3)
Find t such that 28*t**3 - 10558*t**2 - 28*t + 4*t**4 - 10565*t**2 + 21119*t**2 = 0.
-7, -1, 0, 1
Factor -136*c + 430 + 779 + 1012 + 2*c**2 + 91.
2*(c - 34)**2
Let w = 221/63 - 29/9. Let d = 465/973 - -13/139. Suppose -w*t**2 + 2/7*t**4 + 4/7*t**3 + 0 - d*t = 0. Calculate t.
-2, -1, 0, 1
Suppose -7*k + 3 = -4*k. Let c(m) = m**3 + m + 1. Let t(b) = -2*b**4 + 7*b**3 - 2*b**2 + 3*b + 3. Let h(s) = k*t(s) - 3*c(s). What is f in h(f) = 0?
0, 1
Factor 175*c**5 - 92*c**5 + 1792*c**2 - 85*c**5 - 480*c**3 - 1119*c + 52*c**4 - 929*c.
-2*c*(c - 8)**3*(c - 2)
Let x(z) be the second derivative of 0 - 1/3*z**4 - 242*z**2 + 44/3*z**3 - 4*z. Factor x(g).
-4*(g - 11)**2
Let p(h) = 2*h - 29. Let b be p(14). Let u be (-26)/(-8) - b/(-4). Determine z so that -z**4 + z**3 + 4*z**u - 5*z**3 = 0.
0
Suppose -5*f + 5*g + 115 = 0, -3*f + 4*g = -0*g - 73. Factor -10*j**3 - 4*j**5 + f*j**3 + j**5 + 6*j**2.
-3*j**2*(j - 2)*(j + 1)**2
Let i(y) be the third derivative of 13*y**2 + 0*y + 0*y**3 + 1/24*y**6 + 1/3*y**5 + 0 - 2/21*y**7 - 5/24*y**4. Let i(c) = 0. Calculate c.
-1, 0, 1/4, 1
Let 291*l**3 - 146*l**3 - 16*l**2 - 149*l**3 = 0. Calculate l.
-4, 0
Let a(b) = 2*b**2 - 117*b - 177. Let z be a(60). Factor 0 + 80/3*q**2 - 20/3*q + 15*q**4 - 35*q**z.
5*q*(q - 1)*(3*q - 2)**2/3
Let y(w) be the second derivative of -3/4*w**2 - 1/8*w**7 - 3/10*w**6 + 3/8*w**3 + 22*w + 3/20*w**5 + 0 + 7/8*w**4. What is v in y(v) = 0?
-1, 2/7, 1
Let f(m) = 3*m**3 - 5*m**2 + 4*m - 3. Let o be f(3). Suppose -24 + 45*l + 14 + l**2 + 9*l**2 - o*l**3 = 0. What is l?
-1, 2/9, 1
Let a = -11 - -14. Suppose -a = o - 2*o. Factor o*p**3 + 9*p**3 - 4*p**2 + 3*p + 8*p**2 + 11*p**2.
3*p*(p + 1)*(4*p + 1)
Factor 21 - 9*q**2 - 105*q - 22 - 35 - 40 + 10.
-3*(q + 11)*(3*q + 2)
Let c(k) = -6*k**4 + 26*k**3 - 56*k**2 - 84*k + 286. Let y(x) = 2*x**4 - x**3 - x**2 + 1. Let l(p) = c(p) + 2*y(p). Let l(f) = 0. What is f?
-2, 3, 8
Factor 36*y**2 + 7*y**3 - 528*y + 568*y + 2*y**4 + 7*y**3 + 16.
2*(y + 1)*(y + 2)**3
Determine w, given that -52/3*w**4 - 304/3*w**2 + 232/3*w**3 + 0 + 32*w = 0.
0, 6/13, 2
Factor -4*m**3 - 310 + 163 + 12*m + 155.
-4*(m - 2)*(m + 1)**2
Let y(m) be the third derivative of -m**7/3360 + m**5/480 + 2*m**3/3 + 6*m**2. Let j(d) be the first derivative of y(d). Find g such that j(g) = 0.
-1, 0, 1
Factor 10/3*w**2 - 8/3*w**3 + 0 + 1/6*w**5 + 1/6*w**4 + 0*w.
w**2*(w - 2)**2*(w + 5)/6
Let f(n) be the second derivative of -n**5/120 - 25*n**4/36 + 103*n**3/36 - 13*n**2/3 + 10*n + 2. Suppose f(y) = 0. What is y?
-52, 1
Let 125*q**4 - 308*q + 94*q**2 + 83*q**2 + 40 - 4*q**2 + 637*q**2 - 775*q**3 = 0. What is q?
2/5, 5
Factor -12*d**2 + 8/3*d**5 + 0 + 0*d - 52/3*d**4 + 32*d**3.
4*d**2*(d - 3)**2*(2*d - 1)/3
Let y(b) be the third derivative of b**7/252 - 22*b**6/9 + 1936*b**5/3 - 851840*b**4/9 + 74961920*b**3/9 + 539*b**2 + 2. Factor y(c).
5*(c - 88)**4/6
Suppose 5*w - 138 = -2*y + 7*w, -3*w + 353 = 5*y. Find t, given that -1 + 11 + 5*t**5 + 221*t**4 + y*t**3 + 80*t**2 - 191*t**4 + 45*t = 0.
-2, -1
Let i(n) be the first derivative of 4*n**5/5 + 7*n**4 + 40*n**3/3 - 242. Factor i(k).
4*k**2*(k + 2)*(k + 5)
Let w(h) be the third derivative of 16*h**2 + 0 + 5/48*h**4 + 1/40*h**5 + 0*h - 1/6*h**3. Factor w(f).
(f + 2)*(3*f - 1)/2
Let k(f) = -3*f**5 + 15*f**4 - 3*f**3 + 9*f**2 - 6*f. Let d(y) = -9*y**5 + 44*y**4 - 10*y**3 + 26*y**2 - 17*y. Let h(r) = 6*d(r) - 17*k(r). Factor h(n).
-3*n**2*(n - 1)**3
Let w = -5 + 233. Factor 76*v**3 + 1056*v**4 - 24 - 630*v**2 - 27*v**4 + 71*v**3 + w*v.
3*(v + 1)*(7*v - 2)**3
Let k(c) be the first derivative of -c**6/360 + c**5/60 - c**4/24 - 16*c**3/3 + 18. Let g(o) be the third derivative of k(o). What is v in g(v) = 0?
1
Let m be ((-107)/214)/(27/(-6)). Factor -4 - m*i**4 - 61/9*i**2 - 28/3*i - 14/9*i**3.
-(i + 1)**2*(i + 6)**2/9
Suppose -4*x - 20 = -2*y, -1168*x = -4*y - 1165*x + 15. Solve -4/5*g**4 + 2/5*g**5 - 6/5*g**3 + y*g + 0*g**2 + 0 = 0 for g.
-1, 0, 3
Let w = -5145 + 5149. Find x, given that -3/2*x**2 + 0*x**3 + 3/4*x - 3/4*x**5 + 0 + 3/2*x**w = 0.
-1, 0, 1
Let a(s) be the second derivative of 11/42*s**4 - 18*s - 2/35*s**5 - 5/21*s**3 + 0 - 2/7*s**2. Factor a(b).
-2*(b - 2)*(b - 1)*(4*b + 1)/7
Let i(h) be the first derivative of -11/15*h**2 - 2/75*h**5 + 8/15*h + 2/5*h**3 - 1/30*h**4 + 15. Solve i(n) = 0 for n.
-4, 1
Let g = -1447/2 - -725. Factor -27/2*i**2 + 81/2*i - 81/2 + g*i**3.
3*(i - 3)**3/2
Let y(t) be the second derivative of 0 + t - 1/3*t**2 + 1/18*t**4 + 1/60*t**5 - 1/18*t**3. Find i, given that y(i) = 0.
-2, -1, 1
Suppose 3*z = 3*w, -4*w + 15 = 4*z - 1. Let j be (0 + w)/(1/3). Factor j + 19*a + 3*a**3 - 45*a + 17*a.
3*(a - 1)**2*(a + 2)
Let d(x) be the third derivative of x**6/40 + 11*x**5/140 + x**4/56 - 3*x**3/14 - 8*x**2 + 16. Factor d(v).
3*(v + 1)**2*(7*v - 3)/7
Let y(l) be the first derivative of 2/15*l**5 + 2/9*l**3 + l**2 - 1/2*l**4 - 4/3*l + 34. Let y(s) = 0. What is s?
-1, 1, 2
Let g(o) be the third derivative of o**7/1470 + 3*o**6/280 + 11*o**5/210 - 16*o**3/21 - o**2 + 7. Find c such that g(c) = 0.
-4, -2, 1
Let v(y) = -5*y - 21. Let g be v(-5). Determine b so that 3*b + 3*b**3 + 15 - 2*b + 3*b + 18*b**2 - 39 - b**g = 0.
-2, 1, 6
Factor -49 - 60*u**3 + 14 + 88*u**2 + 110*u**2 - 229 - 2*u**4 - 8*u.
-2*(u - 2)**2*(u + 1)*(u + 33)
Let h(f) be the first derivative of f**6/3 - 4*f**5/5 + 4*f**3/3 - f**2 - 425. Solve h(y) = 0.
-1, 0, 1
Solve -2 - 4/3*u + 2/3*u**2 = 0 for u.
-1, 3
Let y(q) be the third derivative of 0 - 20*q**2 + 0*q + 1/4*q**5 - 4*q**3 - 9/4*q**4. Factor y(b).
3*(b - 4)*(5*b + 2)
Let s(v) be the third derivative of v**7/4200 + v**6/1800 - v**5/600 - v**4/120 + 19*v**3/6 - 19*v**2. Let x(z) be the first derivative of s(z). Factor x(o).
(o - 1)*(o + 1)**2/5
Suppose -13*n = -14*n + 5. Suppose -n + 5 + 4*p**2 - 2*p**2 = 0. Calculate p.
0
Let x(k) = -2*k + 3. Let z be x(0). Factor -15 - 30*i**z + 5*i**4 + 0*i + 25*i - 6*i**2 + 16*i**2 + 5*i**5.
5*(i - 1)**3*(i + 1)*(i + 3)
Let f(o) be the third derivative of -o**6/96 + 17*o**5/48 - 25*o**4/6 + 40*o**3/3 - 35*o**2. Factor f(u).
-5*(u - 8)**2*(u - 1)/4
Factor -25/6*c**2 + 5/6*c**3 + 5/3*c + 20/3.
5*(c - 4)*(c - 2)*(c + 1)/6
Let w(j) be the first derivative of j**3 - 6*j**2 - 36*j + 150. What is u in w(u) = 0?
-2, 6
Let i(m) = 2*m**3 + 10*m + 4. Let j(o) = o**2. Suppose 0 = -3*s - a + 22, a + 28 = 3*s + 2. Let b(g) = s*j(g) + i(g). Solve b(r) = 0.
-2, -1
Let c be 2455/(-1020) - (-1)/4. Let v = c + 48/17. Solve 2/3*b**4 + v*b**5 + 0 - 2/3*b**2 - 2*b**3 + 4/3*b = 0 for b.
-2, -1, 0, 1
Let w(x) be the first derivative of 4*x - 1/12*x**4 - 2/3*x**3 - 2*x**2 - 7. Let l(u) be the first derivative of w(u). Factor l(c).
-(c + 2)**2
Factor 53*v**3 - 8*v**3 - 60 - 5*v**4 + 60.
-5*v**3*(v - 9)
Let u(i) = -5*i**4 + 20*i**2 - 15*i. Let o(z) = -z**3 + z**2. Suppose -3*v = 2*c - 24, -3*v + 54 = 6*c - 2*c. Let j(p) = c*o(p) - u(p). Factor j(q).
5*q*(q - 3)*(q - 1)*(q + 1)
Suppose 3*i - 3 = 2*i. Factor -8*w**i + 2*w**2 + 15*w**3 + 3*w**2 - 2*w**3.
5*w**2*(w + 1)
Let -28/11*b - 14/11*b**2 - 16/11 - 2/11*b**3 = 0. What is b?
-4, -2, -1
Let w = -2 - -3. Let q be w*(-3 - 5/(-1)). Let -v - v**2 - 1 - q + 0 + 5 = 0. Calculate v.
-2, 1
Let x(j) be the third derivative of 0*j + 0*j**4 + 0 + 2/315*j**7 - 1/90*j**6 + 0*j**3 - 2/45*j**5 + 10*j**2. Suppose x(r) = 0. Calculate r.
-1, 0, 2
Suppose -218*l = -223*l. Let g(t) be the third derivative of -4*t**2 - 2/21*t**3 + 1/42*t**5 + l + 0*t - 1/28*t**4. Factor g(n).
2*(n - 1)*(5*n + 2)/7
Let a(z) = z**4 - z**2 + z + 1. Let c(b) = -12*b**4 + b**3 + 14*b**2 - 16*b - 9. Let x(r) = 22*a(r) + 2*c(r). Suppose x(i) = 0. What is i?
-2, 1
Factor 0 + 3/5*w**3 + 84/5*w**2 + 81/5*w.
3*w*(w + 1)*(w + 27)/5
Suppose 2*v - 5*x + 262 - 71 = 0, -4*v - 407 = -5*x. Let j be 9/12 - 63/v. Let 2*h + 2/3*h**2 + j = 0. Calculate h.
-2, -1
Let b(a) = -13*a**3 + 6*a**2 + 6*a - 3. Let w(o) = -10*o**3 + 6*o**2 + 6*o - 2. Let j(f) = -4*b(f) + 5*w(f). Solve j(y) = 0 for y.
-1
Let i be (72/(-30)*(-5)/4)/((-12)/(-2)). Factor -9/2*r**2 + i*r**3 + 12*r - 8.
(r - 4)**2*(r - 1)/2
Let z(i) be the first derivative of i**3 + 9*i**2/2 - 30*i - 39. Factor z(y).
3*(y - 2)*(y + 5)
Let z be (110/(-12))/(-11)*6. Solve -8*i**4 - 4*