ctor y(w).
-2*w*(w - 2)/9
Let g(x) be the third derivative of x**8/588 + 8*x**7/735 + 2*x**6/105 - 2*x**5/105 - 5*x**4/42 - 4*x**3/21 + 2*x**2 + 1. Factor g(q).
4*(q - 1)*(q + 1)**3*(q + 2)/7
Suppose 0*s + 8 = 4*s - 2*w, 5*s + 2*w = 19. Factor 0*x - x + 6 - s*x**3 + 10*x.
-3*(x - 2)*(x + 1)**2
Let -249 - 16*x**3 - 8*x + 20*x**2 + 4*x**4 + 249 = 0. Calculate x.
0, 1, 2
Suppose 3*k - 9 = -f - 2*f, 3*k = 4*f - 26. Let b = 8 - f. What is n in -3*n**2 + 2 - b*n - 2*n + 4*n + 2*n**2 = 0?
-2, 1
Factor 38/3*k**2 - 8/3 - 14/3*k**3 - 16/3*k.
-2*(k - 2)*(k - 1)*(7*k + 2)/3
Factor -12*m + 44*m - 17*m**3 + 4*m**5 - 16*m**4 - 80*m**2 + 89*m**3 - 12*m**4.
4*m*(m - 2)**3*(m - 1)
Solve -75/4*f**2 + 0 + 9/2*f + 9*f**3 + 21/4*f**4 = 0 for f.
-3, 0, 2/7, 1
Suppose -5 = -4*m + 19. Let k(x) = -x**3 + 6*x**2. Let r be k(m). Suppose 2/9*g**2 - 2/9*g**3 + 0 + r*g = 0. What is g?
0, 1
Let d = -1 - -2. Let k be 0 - d - (-3 + 0). Let 2*s**k - 3*s**2 - 1 - 1 + 3*s**2 = 0. Calculate s.
-1, 1
Let b(t) = t**3 - t - 6. Let k be b(0). Let w be (-3 + 4)*k/(-15). What is v in w*v**5 - 2/5*v**3 + 0 + 0*v + 2/5*v**4 - 2/5*v**2 = 0?
-1, 0, 1
Let p(n) be the third derivative of -7*n**6/300 + 3*n**5/50 + n**4/5 - 4*n**3/15 + 10*n**2. Factor p(s).
-2*(s - 2)*(s + 1)*(7*s - 2)/5
Factor 3/5*l**5 + 0*l**3 - 6/5*l**2 + 0 - 3/5*l + 6/5*l**4.
3*l*(l - 1)*(l + 1)**3/5
Let w(a) = 7*a**3 - 2*a**2 - 7*a - 1. Let f(q) = 0*q + q + 6 - 2*q. Let b be f(3). Let u(l) = -1. Let c(v) = b*u(v) - w(v). What is y in c(y) = 0?
-1, 2/7, 1
Suppose z + 2*u = 10, -5*z + 30 - 4 = 2*u. Let b be z - ((-63)/(-2))/9. Solve b*w**2 + 2 - 2*w = 0.
2
Let r be 12/16 - 5/(-4). Factor -3*k**3 + r*k**2 + k**3 + 0*k**3.
-2*k**2*(k - 1)
Let u be (-3)/5*45/(-18). Factor u*h**2 - 3/2*h**3 + 3*h + 0.
-3*h*(h - 2)*(h + 1)/2
Let b(l) be the third derivative of -l**6/120 - 7*l**5/180 - 5*l**4/72 - l**3/18 + 4*l**2. Solve b(g) = 0 for g.
-1, -1/3
Let h(f) be the first derivative of f**6/108 + f**5/90 - f**4/9 + 4*f**3/27 - 3*f**2 + 4. Let g(t) be the second derivative of h(t). Let g(u) = 0. Calculate u.
-2, 2/5, 1
Let v(a) be the third derivative of a**6/160 + a**5/16 - 28*a**2 + 1. Find i such that v(i) = 0.
-5, 0
Factor 3/4*i - 5/4*i**2 + 1/4*i**4 + 1/4*i**3 + 0.
i*(i - 1)**2*(i + 3)/4
Let r = -34 + 308/9. Suppose -r*p - 4/9 + 2/9*p**2 = 0. What is p?
-1, 2
Let b = 749/2 - 367. Suppose -b*r**2 - 3/2*r**4 - 3*r - 6*r**3 + 0 = 0. Calculate r.
-2, -1, 0
Factor -2*n**2 - 6*n + 9*n**4 + 2 - 30*n**4 + 19*n**4 + 6*n**3 + 2.
-2*(n - 2)*(n - 1)**2*(n + 1)
Let d(k) = 4*k**5 - 3*k**3 - 5*k**2 + 9*k. Let r(q) = 2*q**5 - q**3 - 3*q**2 + 5*q. Let u(l) = 6*d(l) - 10*r(l). Factor u(n).
4*n*(n - 1)**2*(n + 1)**2
Suppose -3*h = -4*h + d + 14, -5*h - 4*d = -106. Let v be h/(-10) - 18/(-9). Factor 1/5*j**4 - 1/5*j**2 - v*j**3 + 0 + 1/5*j.
j*(j - 1)**2*(j + 1)/5
Let p = 601/7980 + -5/76. Let j(k) be the third derivative of 0*k**3 + 1/30*k**5 + p*k**7 + 0*k + 0 - 1/30*k**6 + 0*k**4 - k**2. Factor j(o).
2*o**2*(o - 1)**2
Let q(g) be the third derivative of -1/12*g**3 + 0 - 1/480*g**6 + 0*g**5 + 1/32*g**4 + 0*g - 3*g**2. Factor q(v).
-(v - 1)**2*(v + 2)/4
Let t(a) = -3*a**2 - 3*a + 2. Let h(b) = -b**2 + 1. Let v(n) = 6*h(n) - 3*t(n). Factor v(w).
3*w*(w + 3)
Let u(f) = f**2 + 4*f + 7. Let n(b) = -b**2 - 5*b - 7. Let v(j) = 4*n(j) + 3*u(j). Factor v(z).
-(z + 1)*(z + 7)
Let d be 8 + 1 + -1 + -5. Factor -1/4*z**d - 1/4*z**2 + 0 + 1/2*z.
-z*(z - 1)*(z + 2)/4
Let b(s) = -4*s**4 + 8*s**3 + 13*s**2 - 8*s. Let w(k) = k**4 - 2*k**3 - 3*k**2 + 2*k. Let q(f) = -2*b(f) - 9*w(f). Determine p so that q(p) = 0.
-1, 0, 1, 2
Let v(w) be the first derivative of -w**6/30 - 2*w**5/25 - w**4/20 + 27. Factor v(d).
-d**3*(d + 1)**2/5
Let k(r) = r**2 + 4*r - 3. Let s be k(-5). Suppose 12 = 5*v + 4*i, -i - s*i = 6. Suppose -2/9*x**3 + 0*x**2 + 0*x - 4/9*x**v + 0 - 2/9*x**5 = 0. Calculate x.
-1, 0
Suppose 0*z + z - 7 = 0. Determine h, given that -8*h**4 - 15*h - z*h**3 - 2 + 21*h + 10*h**2 + h**3 = 0.
-1, 1/4, 1
Suppose 2*l - 10 = -3*l. Suppose l*i - 1 = 5. Factor -2/3*q + 0 + 2/3*q**i - 2/3*q**2 + 2/3*q**4.
2*q*(q - 1)*(q + 1)**2/3
Determine u, given that 24*u**3 - 3*u**5 - 4*u - 268 + 18*u**2 + 250 - 17*u = 0.
-2, -1, 1, 3
Let f(n) be the first derivative of -9*n**6/10 + 9*n**5/25 + 51*n**4/20 - 7*n**3/5 - 12*n**2/5 + 12*n/5 + 7. Determine r so that f(r) = 0.
-1, 2/3, 1
Let u be (-4 - -4 - -8) + -2 - 2. Determine d so that 1/2*d**u + d - d**3 - 1/2 + 0*d**2 = 0.
-1, 1
Let o(j) be the first derivative of -1/6*j**6 + 1/4*j**4 - 7 + 0*j**2 + 1/5*j**5 + 0*j - 1/3*j**3. Determine s so that o(s) = 0.
-1, 0, 1
Let n be 2/((-2)/(-12)*4). Let v be 418/462 + n/7. Solve 1/3*d**2 + 4/3*d**3 + 0*d - v*d**5 + 0 - 1/3*d**4 = 0 for d.
-1, -1/4, 0, 1
Let k(n) be the third derivative of 0*n**3 + 0*n**6 - 1/6*n**4 + 0*n + 0 + 8*n**2 - 1/10*n**5 + 1/105*n**7. Factor k(l).
2*l*(l - 2)*(l + 1)**2
Factor 2*b**2 + 20*b + 4 + 1 + 3 - 12*b.
2*(b + 2)**2
Suppose -4/5*o + 0 - 6/5*o**2 - 2/5*o**3 = 0. What is o?
-2, -1, 0
Let t(w) be the second derivative of w**10/30240 - w**8/6720 + w**4/3 - 3*w. Let u(f) be the third derivative of t(f). Let u(y) = 0. Calculate y.
-1, 0, 1
Let m(z) be the first derivative of -z**4/20 - 2*z**3/15 - z**2/10 - 4. Factor m(d).
-d*(d + 1)**2/5
Let s(t) be the third derivative of t**6/960 - t**5/480 - t**4/96 + 3*t**2 + 5. Find r such that s(r) = 0.
-1, 0, 2
Let n be (-15)/20 - (-82)/(-8). Let g = -7 - n. Let -4/5*u**2 + 4/5*u**g - 2/5*u + 0 + 2/5*u**3 = 0. Calculate u.
-1, -1/2, 0, 1
Factor 9/5*s**2 + 0 - 9/5*s**3 + 3/5*s**4 - 3/5*s.
3*s*(s - 1)**3/5
Let i(a) be the second derivative of a**4/4 + 3*a**3/2 - 6*a**2 - 18*a. Factor i(b).
3*(b - 1)*(b + 4)
Let k = -7 - -11. Let t = 6 - k. Determine c, given that 4/3*c + 2/3*c**t + 0 - 2*c**3 = 0.
-2/3, 0, 1
Let a(f) = -f**2 + 7*f + 3. Let o(t) = 2*t**2 - 6*t - 4. Let s(m) = 4*a(m) + 3*o(m). Factor s(u).
2*u*(u + 5)
Let p = 275531/530452 - 2/10201. Let c = p - -3/13. Factor 0 - 3/2*y**3 - 3/4*y**4 + c*y**2 + 3/2*y.
-3*y*(y - 1)*(y + 1)*(y + 2)/4
Determine b so that -3/4 + b + 7/4*b**2 = 0.
-1, 3/7
Let w(c) be the second derivative of 3/5*c**5 + 0 - 3/4*c**4 + 2*c - 1/10*c**6 + 6*c**2 - 2*c**3. Factor w(h).
-3*(h - 2)**2*(h - 1)*(h + 1)
Let c(h) be the third derivative of -h**6/80 + h**5/40 + h**4/8 + 10*h**2. Determine k, given that c(k) = 0.
-1, 0, 2
Let u = 336/815 + -2/163. Factor -8/5*z**2 - 6/5*z**3 - u*z + 0.
-2*z*(z + 1)*(3*z + 1)/5
Let b be 2*-1 - (-3 + -2). Suppose -m = -t - 2 + 1, 3 = -m - b*t. Factor -1/2*w + 5/2*w**2 - 7/2*w**3 + 3/2*w**4 + m.
w*(w - 1)**2*(3*w - 1)/2
Suppose 0*m + 12 = 6*m. Suppose -2/11*r - 2/11*r**m + 0 = 0. Calculate r.
-1, 0
Let q(t) be the first derivative of 6*t**5/35 + t**4 + 16*t**3/21 + 22. Determine u so that q(u) = 0.
-4, -2/3, 0
Factor 3/7*b + 3/7*b**3 - 6/7*b**2 + 0.
3*b*(b - 1)**2/7
Let d be ((-2)/18)/((-19)/3 - -6). Let v(i) be the first derivative of -2*i - 3/2*i**2 - d*i**3 - 2. Solve v(t) = 0.
-2, -1
Let t be (-10 - -4 - -2)*3/(-18). Factor -t*m + 4/3 - 2/3*m**2.
-2*(m - 1)*(m + 2)/3
Let k(i) = 4*i**2 - 2*i**4 - i**4 - 4*i + 0*i**2 + 5*i**3. Let y(g) = g**5 + 6*g**4 - 9*g**3 - 7*g**2 + 7*g. Let n(s) = -7*k(s) - 4*y(s). Factor n(w).
-w**3*(w + 1)*(4*w - 1)
Let i(y) be the third derivative of y**7/126 + y**6/3 + 6*y**5 + 60*y**4 + 360*y**3 + 17*y**2. Solve i(c) = 0.
-6
Let p(f) be the third derivative of f**6/80 - f**5/24 - 11*f**4/48 - f**3/4 + 36*f**2. Suppose p(h) = 0. Calculate h.
-1, -1/3, 3
Let p be 608/760 - (-11)/5. Solve 5/3*g - 1/3*g**4 - 2*g**p + 1 - 2/3*g**2 + 1/3*g**5 = 0 for g.
-1, 1, 3
Let s(w) be the first derivative of w**6/720 - w**5/80 - 2*w**3 - 7. Let i(o) be the third derivative of s(o). Solve i(a) = 0.
0, 3
Let u(o) be the first derivative of 9/5*o**5 + 0*o**2 + 5/3*o**6 - 1 - 2/3*o**3 - 3/4*o**4 + 0*o. Suppose u(b) = 0. Calculate b.
-1, -2/5, 0, 1/2
Factor 0 - 9/5*l**2 + 0*l + 3/5*l**3.
3*l**2*(l - 3)/5
Let o(u) = 10*u**3 - 10*u. Let l(z) = 2*z - z**3 + 5*z**3 - 6*z**3. Let h(k) = 16*l(k) + 3*o(k). Solve h(p) = 0.
-1, 0, 1
Let z be 34/(-833)*14/(-8). Let u(f) be the first derivative of -2 + 2/21*f**3 - z*f**4 - 2/7*f + 1/7*f**2. Determine l, given that u(l) = 0.
-1, 1
Let x = 1 + 2. Suppose 23 = -4*l + 31. Factor 6/5*s + 6/5*s**l + 2/5*s**x + 2/5.
2*(s + 1)