
-1, -2/5, 1, 2
Let w(r) = -10*r**4 - 2*r**3 + 16*r**2 - 10*r. Let s(t) = -30*t**4 - 5*t**3 + 47*t**2 - 29*t. Let h = 54 - 37. Let z(y) = h*w(y) - 6*s(y). Factor z(d).
2*d*(d - 1)*(d + 1)*(5*d - 2)
Let b(j) be the first derivative of -1/2*j**3 + 0*j - 3/4*j**2 - 3. Solve b(l) = 0 for l.
-1, 0
Let t(a) = -4*a**2 + 8*a - 4. Let h(r) = 12*r**2 - 23*r + 11. Let v(z) = 4*h(z) + 11*t(z). Factor v(d).
4*d*(d - 1)
Suppose w = -4*w. Suppose x - 3 = -2*s, -2*s + w*s = -x - 9. Suppose -2/7*l**2 + 0 - 2/7*l**s + 0*l = 0. Calculate l.
-1, 0
Let b(v) = -v**3 - 2*v**2 - v. Let s(j) = -j**3 - 2*j**2 - j. Let x(l) = -4*b(l) + 3*s(l). What is k in x(k) = 0?
-1, 0
Factor -2*t**2 + 4/7*t + 0 - 6/7*t**4 + 16/7*t**3.
-2*t*(t - 1)**2*(3*t - 2)/7
Suppose 7*r - 6*r = -32. Let s = 34 + r. Factor -2/5*c**s + 0 + 2/5*c**5 - 2/5*c**3 + 0*c + 2/5*c**4.
2*c**2*(c - 1)*(c + 1)**2/5
Let c(i) be the third derivative of -i**8/1512 - 2*i**7/945 + i**6/270 + 4*i**5/135 + 7*i**4/108 + 2*i**3/27 + 15*i**2. Factor c(o).
-2*(o - 2)*(o + 1)**4/9
Let y(w) be the first derivative of -5 - 1/18*w**3 - 1/6*w - 1/6*w**2. Let y(q) = 0. Calculate q.
-1
Factor 2/5*t**2 + 1/5*t**3 - 1/5*t - 2/5.
(t - 1)*(t + 1)*(t + 2)/5
Let w be 37/(-60) + (-30)/(-45). Let m = 9/20 + w. Factor -1 + 5/2*b**3 + 4*b**2 + m*b.
(b + 1)**2*(5*b - 2)/2
Let i be 0/7 - (1 + -3). Factor -8/3*b**i + 4/3 + 14/3*b.
-2*(b - 2)*(4*b + 1)/3
Let t = -1 - -7. Let o be -3*((-27)/t - -4). Factor o*j + 3/2*j**2 + 1/2*j**3 + 1/2.
(j + 1)**3/2
Suppose 1 = 5*f - 19. Suppose r - f = -2. Suppose -6 + 6 - 3*q**2 + r*q + 5*q**2 = 0. Calculate q.
-1, 0
Find x, given that -14/5*x**2 + 0 - 4/5*x - 2*x**3 = 0.
-1, -2/5, 0
Let y(h) = -h**3 - 7*h**2 + h + 9. Let i be y(-7). Factor 11*u - u**2 + 2*u**i - 13*u.
u*(u - 2)
Let l = 32/3 + -10. Let v(h) be the first derivative of l*h**6 + 0*h**3 + 1/4*h**4 + 2 + 0*h**2 + h**5 + 0*h. Let v(m) = 0. What is m?
-1, -1/4, 0
Let q = 117 - 115. Factor -4/5 - 2/5*n + 2/5*n**q.
2*(n - 2)*(n + 1)/5
Let j(z) = 8*z**5 - 18*z**4 + 2*z**3 + 4*z**2. Let n(q) = -15*q**5 + 37*q**4 - 4*q**3 - 8*q**2. Let o(d) = 5*j(d) + 2*n(d). Factor o(a).
2*a**2*(a - 1)**2*(5*a + 2)
Factor -2/7*b**2 - 2/7*b + 4/7.
-2*(b - 1)*(b + 2)/7
Let x be (2 - -1 - 4)/(-8). Let h(c) be the third derivative of 1/6*c**3 + 1/20*c**5 + 0*c - 1/120*c**6 - 2*c**2 - x*c**4 + 0. Factor h(n).
-(n - 1)**3
Let b(c) be the third derivative of 0*c**3 + 1/180*c**6 - 5*c**2 + 0*c**5 + 0*c + 0 - 1/36*c**4. Determine s, given that b(s) = 0.
-1, 0, 1
Let k(b) be the second derivative of b**4/3 + 4*b**3/3 - 10*b. Factor k(o).
4*o*(o + 2)
Suppose 3*n - 8 = -5*a + 2*n, -5*n - 4 = 3*a. Let c be ((-3)/(-4))/3*a. Determine b, given that 0 - 1/2*b**2 - c*b = 0.
-1, 0
Suppose 5*k - 20 = 0, -2*k = -3*s + 3*k - 11. Solve y**4 + y**2 + 0*y**3 - 3*y**s + y**3 = 0 for y.
0, 1
Let i = -643 + 645. Factor -20/3*a**i + 50/9*a**3 + 2*a + 0.
2*a*(5*a - 3)**2/9
Let c(s) = -20*s**4 - 9*s**3 - 2*s**2 - 2*s. Let l(o) = 7*o**4 + 3*o**3 + o**2 + o. Let f(g) = -4*c(g) - 11*l(g). Factor f(b).
3*b*(b - 1)*(b + 1)**2
Let g(t) = t**3 - 9*t**2 + 13*t + 9. Let k be g(7). Factor 0*u + 2/11*u**4 - 2/11*u**k + 0 - 2/11*u**5 + 2/11*u**3.
-2*u**2*(u - 1)**2*(u + 1)/11
Let u(o) be the first derivative of o**7/315 - o**5/45 + o**3/9 - 3*o**2/2 + 5. Let m(b) be the second derivative of u(b). Factor m(w).
2*(w - 1)**2*(w + 1)**2/3
Find m, given that -9*m**2 + 3/2 - 21/4*m**3 - 9/4*m = 0.
-1, 2/7
Let u(r) be the first derivative of -4 - 2*r**2 + 0*r - 2/3*r**3. Factor u(f).
-2*f*(f + 2)
Let q(u) be the first derivative of -u**7/42 + u**5/10 - u**3/6 + 3*u - 5. Let t(p) be the first derivative of q(p). Factor t(h).
-h*(h - 1)**2*(h + 1)**2
Let d(k) be the second derivative of 3*k**5/140 - 6*k**3/7 + 24*k**2/7 + 39*k. Factor d(u).
3*(u - 2)**2*(u + 4)/7
Let a(l) be the first derivative of 2/21*l**3 + 3 - 2/7*l + 1/7*l**2 - 1/14*l**4. Factor a(g).
-2*(g - 1)**2*(g + 1)/7
Let m(k) be the first derivative of 4*k**5/5 - 4*k**4 + 8*k**3 - 8*k**2 + 4*k + 5. Factor m(y).
4*(y - 1)**4
Let g = -41 + 71. Let h be 1/(-3) - (-16)/g. Factor -1/5*f**4 - 1/5*f**3 + h*f + 0 + 1/5*f**2.
-f*(f - 1)*(f + 1)**2/5
Let r(x) = -x**3 + 3*x**2 + 2. Let d be r(3). Suppose b - d*u = 0, -u - 2 = -2*b + 4. Factor 0*a**5 - b*a**4 - a**2 - 4*a**2 - 6*a**3 - a**5 - a + a**2.
-a*(a + 1)**4
Factor 5/8*a**2 + 3/8*a - 1/8*a**4 + 0 + 1/8*a**3.
-a*(a - 3)*(a + 1)**2/8
Let j(x) = -x**3 + 5*x**2 - 5*x + 5. Let c be j(7). Let t = c + 261/2. Determine w so that -t*w**2 + 0 + w = 0.
0, 2/5
Let a(o) be the first derivative of -3*o**4/8 + 1. Factor a(h).
-3*h**3/2
Solve 0*z + 1/5 - 2/5*z**2 + 1/5*z**4 + 0*z**3 = 0 for z.
-1, 1
Let z be ((-8)/(-32))/(2 + 0). Let l(t) be the first derivative of 1/4*t**3 - z*t**2 - 1 - 1/2*t + 1/16*t**4 - 1/20*t**5. Solve l(p) = 0.
-1, 1, 2
Suppose 21*j + 12 = 24*j. Let a(w) be the third derivative of 0*w + 0 - 3*w**2 + 0*w**j + 1/120*w**6 - 1/60*w**5 + 0*w**3. Let a(b) = 0. Calculate b.
0, 1
Let j be 1/(-5)*(-2)/4. Let l(r) be the third derivative of 0 + 0*r - 2*r**2 - 2/3*r**3 - j*r**5 - 5/12*r**4. Let l(t) = 0. What is t?
-1, -2/3
Suppose -5*n = 25, 0*s + 2*n = -2*s - 10. Let q(d) be the third derivative of 1/270*d**5 + 4/27*d**3 + s + 2*d**2 + 0*d - 1/27*d**4. Factor q(z).
2*(z - 2)**2/9
Let p(w) be the second derivative of w**7/21 - w**6/15 - w**5/10 + w**4/6 - 7*w. Factor p(d).
2*d**2*(d - 1)**2*(d + 1)
Determine d, given that 2487/4*d**2 + 75 + 75/4*d**4 - 405/2*d**3 - 405*d = 0.
2/5, 5
Let q be -3 + 0 - (-22 - -19). Factor 0*o + 2/3*o**4 + q - 4/9*o**3 - 2/9*o**5 + 0*o**2.
-2*o**3*(o - 2)*(o - 1)/9
Suppose 5*i + 15 + 14 = 2*l, 0 = -5*l - 4*i - 10. Factor 2/3*j**l + 0 + 1/3*j.
j*(2*j + 1)/3
Let z(w) be the third derivative of 0 - 1/144*w**4 + 1/720*w**6 - 2*w**2 + 1/360*w**5 - 1/36*w**3 + 0*w. Factor z(n).
(n - 1)*(n + 1)**2/6
Let h(d) be the third derivative of d**6/900 - d**5/75 + d**4/15 + 3*d**3/2 - 2*d**2. Let w(k) be the first derivative of h(k). Factor w(y).
2*(y - 2)**2/5
Factor -76/9*x**2 + 136/9*x - 28/9*x**3 - 32/9.
-4*(x - 1)*(x + 4)*(7*x - 2)/9
Let l(k) = 4*k**4 + 4*k**3 - 2*k**2 - 2*k + 1. Let d(w) = w**4 + w**3 + w**2 + w + 1. Let y(a) = 2*a - 11. Let h be y(5). Let z(r) = h*l(r) + d(r). Factor z(p).
-3*p*(p - 1)*(p + 1)**2
Let l be (2/(-9) - (-10)/(-36))/(-1). Factor -1/2*c + l + 1/2*c**3 - 1/2*c**2.
(c - 1)**2*(c + 1)/2
Suppose -c + 0*c = -4*y, y + 2*c = 0. Let g(f) be the third derivative of 2*f**2 + 1/84*f**4 + 0 + y*f**3 - 1/210*f**5 + 0*f. Factor g(x).
-2*x*(x - 1)/7
Let o(t) = -9*t + 2*t + 0 + 5*t**3 + 0 + 6*t**2. Let p(j) = 4*j**3 + 6*j**2 - 8*j. Let w(y) = -5*o(y) + 4*p(y). Factor w(n).
-3*n*(n + 1)*(3*n - 1)
Let m be 24/(-20)*(-40)/(-6). Let z be m/((-3)/6*4). Let -6*p**3 + p**2 + 7*p**z - p**2 + 3*p**5 - 10*p**4 = 0. Calculate p.
-1, 0, 2
Let b(y) be the second derivative of y**7/210 - y**6/50 + y**4/15 - 9*y. Suppose b(x) = 0. Calculate x.
-1, 0, 2
Suppose -4*v + 36 = -v. Let z = -7 + v. Let 0*b**2 - 2*b**2 + z*b**2 - 6*b**2 = 0. Calculate b.
0
Factor -r + 3/4 + 1/4*r**2.
(r - 3)*(r - 1)/4
Solve -h**4 + 18*h**2 + 20*h**3 - 3*h**4 + 12*h - 46*h**2 = 0.
0, 1, 3
Let m(x) be the second derivative of -3*x**5/20 + 3*x**4/4 - 3*x**3/2 + 3*x**2/2 - 4*x - 4. Factor m(y).
-3*(y - 1)**3
Let o be 8/30*(-9)/(-6). Let c(p) = p**3 + 4*p**2 - p - 1. Let m be c(-4). Factor 2/5*a**2 - 2/5*a - o*a**4 + 2/5*a**m + 0.
-2*a*(a - 1)**2*(a + 1)/5
Let a(h) be the second derivative of 64*h**7/21 + 64*h**6/21 - 442*h**5/35 + 241*h**4/21 - 104*h**3/21 + 8*h**2/7 + 10*h. Let a(u) = 0. Calculate u.
-2, 1/4, 2/7, 1/2
Let i be (-175)/(-63) + (-2)/(-9). Solve -2 - 4 - 6*m**4 + 15*m**2 - i*m**4 - 3*m + 3*m**3 = 0 for m.
-1, -2/3, 1
Let r(d) be the first derivative of 2/27*d**3 + 0*d**2 - 2/9*d**4 + 1 + 2/15*d**5 + 0*d. Find q such that r(q) = 0.
0, 1/3, 1
Let j(g) = -g**5 + g**3 - g - 1. Let a(z) = 3*z**5 + 3*z**4 + 2*z + 2. Let c(o) = 3*a(o) + 6*j(o). Solve c(d) = 0 for d.
-2, -1, 0
Let b(p) be the first derivative of 25*p**4/4 + 35*p**3/3 - 15*p**2 + 17. Find l, given that b(l) = 0.
-2, 0, 3/5
Find z such that z**5 - 108*z**2 + 13*z**4 + 36*z**3 - 25*z**4 + 18*z**3 + 81*z = 0.
0, 3
Let b = 175/3 + -58. Factor b*g**4 - 2/3*g**3 + 2/3*g + 0*g**2 - 1/3.
(g - 1)**3*(g + 1)/3
Let f(y) be the third derivative of -y**