ate l.
-1, 0, 1
Let m(y) = -y**3 - 5*y**2 + 3*y - 2. Let c be m(-6). Let j be (c/84)/(4/6). Factor -6/7*h**3 + 0*h + 0 + j*h**4 + 4/7*h**2.
2*h**2*(h - 2)*(h - 1)/7
Let j(p) = -5*p**4 + 5*p**3 + 2*p**2 - 2*p. Let m(a) = 10*a**4 - 10*a**3 - 5*a**2 + 5*a. Let g(t) = 5*j(t) + 3*m(t). Factor g(n).
5*n*(n - 1)**2*(n + 1)
Let f(m) be the first derivative of m**7/84 - m**5/20 + m**3/12 + m - 4. Let i(w) be the first derivative of f(w). Suppose i(s) = 0. Calculate s.
-1, 0, 1
Factor 3/2*n**2 + 0 - 1/2*n**3 - n.
-n*(n - 2)*(n - 1)/2
Suppose 0*l**3 + 0*l + 1/5*l**4 + 0*l**2 + 0 = 0. What is l?
0
Let m = -53 + 373/7. Solve 0*p**2 + m*p**3 - 2/7*p + 0 = 0 for p.
-1, 0, 1
Let s = 3 - 0. Let k(d) be the first derivative of 0*d**3 + s + 1/15*d**6 + 0*d**4 + 2/25*d**5 + 0*d + 0*d**2. Find a, given that k(a) = 0.
-1, 0
Let a = 8 + -3. Suppose -a*j + b = -13, -5*j + 22 = -5*b - 3. Suppose 0 - 2/7*u**3 + 2/7*u**j + 0*u = 0. Calculate u.
0, 1
Let a(f) be the first derivative of 0*f**2 - 2*f + 0*f**4 - 2 + 0*f**3 - 1/60*f**5. Let j(d) be the first derivative of a(d). Factor j(c).
-c**3/3
Let j be 2/(-19) + (-27)/(-76). Let m(k) be the first derivative of k**3 - j*k**4 + k - 3 - 3/2*k**2. Determine z so that m(z) = 0.
1
Let h = 11 - 7. Determine x, given that -5*x**5 + x**5 - 7*x**h - 3*x**3 + 2*x**4 + 2*x**3 = 0.
-1, -1/4, 0
Factor 2/7*b**4 - 2/7*b**2 - 2/7*b**3 + 2/7*b**5 + 0 + 0*b.
2*b**2*(b - 1)*(b + 1)**2/7
Let s(h) be the first derivative of h**4/34 - 4*h**3/51 - 9. Factor s(i).
2*i**2*(i - 2)/17
Let h be 24 + -20 - 4/(-6)*-6. Solve 4/5*o**3 + 0 - 8/5*o**2 + h*o = 0 for o.
0, 2
Let u(o) be the second derivative of 1/20*o**5 - 1/6*o**4 + o**2 - 1/6*o**3 + 0 + o. Factor u(m).
(m - 2)*(m - 1)*(m + 1)
Suppose q = 1 + 3. Let d(g) = g**3 - 4*g**2 + 4. Let o be d(q). Factor -4/9 + 2/9*w**2 + 2/9*w**o + 2/3*w - 2/3*w**3.
2*(w - 2)*(w - 1)**2*(w + 1)/9
Factor -q**3 + 20*q + 5*q**3 - 8*q - 16*q**2.
4*q*(q - 3)*(q - 1)
Let h(l) = l**2 + 7*l + 16. Let i(j) = -j**2 - 13*j - 32. Let r(d) = 5*h(d) + 3*i(d). Find m, given that r(m) = 0.
-2, 4
Factor 6*n**3 - 5*n**4 + 4*n**3 - 66*n**2 + 61*n**2.
-5*n**2*(n - 1)**2
Let d = -12 - -26. Find g, given that 2*g + 19*g**2 + 2 + 3*g**4 - 6 + 2*g + d*g**3 = 0.
-2, -1, 1/3
Let -1/8*h**2 - 5/4*h - 25/8 = 0. What is h?
-5
Let l = -32 - -59. Let c be (4 - 2)*l/6. Factor 25*i**2 - c*i - 25*i - 7*i**2 - 20*i - 2*i**3 + 54.
-2*(i - 3)**3
Let k = 6 - 4. Let o be (-4 + k)*(-2)/4. Factor -5 + t + t + t**2 + o + 5.
(t + 1)**2
Suppose 2*j - 2*x + 3*x + 15 = 0, -4*j - 29 = 3*x. Let f(d) = d**2 + 8*d + 2. Let m be f(j). Suppose -2/3 + n**4 + 5/3*n - 5/3*n**3 - 1/3*n**m = 0. What is n?
-1, 2/3, 1
Let g be 1 + (-2 - 0)/2. Let -2*b**2 + g*b**4 + b**4 + 0*b**4 + 0*b**4 + b**3 = 0. Calculate b.
-2, 0, 1
Factor -19*m - 13*m + 12*m**2 + 5*m + 6.
3*(m - 2)*(4*m - 1)
Factor -1/3*n + 1/12*n**4 - 1/3*n**3 + 1/12 + 1/2*n**2.
(n - 1)**4/12
Let c = 76 - 303/4. Suppose 1/4 + 0*v - c*v**2 = 0. What is v?
-1, 1
Let l(w) = -w - 3*w - 8 + 3*w. Let c be l(-8). Factor c + 2/7*y + 2/7*y**2.
2*y*(y + 1)/7
Let p(z) be the first derivative of -2*z**3/3 + 2*z + 7. Find u, given that p(u) = 0.
-1, 1
Let m(f) = 7*f**4 - 3*f**3. Let s(t) = t**3 + 7*t**2 - 7*t**2 - 3*t**4. Let p(r) = 2*m(r) + 5*s(r). Solve p(h) = 0 for h.
-1, 0
Let a(y) be the second derivative of y**6/20 - 3*y**5/5 + 3*y**4 - 8*y**3 + 12*y**2 + y. Factor a(w).
3*(w - 2)**4/2
Let q(z) be the second derivative of z**5/210 - z**4/84 + z**2 + 3*z. Let s(v) be the first derivative of q(v). Determine n so that s(n) = 0.
0, 1
Suppose 5*y = 5*f - 15, 3*f - 7 = -2*y + 12. Find g, given that -6*g**3 - 15/4*g**y + 4*g**4 - 1/2*g + 0 = 0.
-1/4, 0, 2
Suppose n + 2*a = a + 5, -5*a = 0. Let w = 6 - 3. Factor 0*h**3 + 3*h**w - n*h**3.
-2*h**3
Let b(w) = -w**3 - 7 - 2*w**3 + 2*w**3 - 8*w - 4*w**2 - 2*w**2. Let c be b(-5). Find f, given that -9/2*f + c*f**5 - 7/2*f**3 + 23/2*f**2 - 12*f**4 + 1/2 = 0.
-1, 1/4, 1
Suppose 2*x = 3 - 1. Let b be x/(2 + 3/(-2)). Suppose b*p**4 + 2*p**2 - p**4 - p**2 - 2*p**3 = 0. What is p?
0, 1
Let i = 2/77 + 227/154. What is o in o**3 + i*o**2 + 1/4*o**4 + 1/4 + o = 0?
-1
Let m be (-12)/(-3)*(-1)/(-7). Factor 2/7*t**2 - 6/7*t + m.
2*(t - 2)*(t - 1)/7
Suppose -8*u + 2*u = 0. Let z(r) be the first derivative of -2/15*r**5 + 2/9*r**3 + u*r + 2 - 1/3*r**2 + 1/6*r**4. Factor z(d).
-2*d*(d - 1)**2*(d + 1)/3
Let r(u) be the third derivative of u**7/21 + 7*u**6/60 - u**5/10 - 7*u**4/12 - 2*u**3/3 - 2*u**2. Factor r(k).
2*(k - 1)*(k + 1)**2*(5*k + 2)
Let i(v) = v**2 + 10*v - 8. Let c(k) = k**2 + 11*k - 9. Let z(d) = 6*c(d) - 7*i(d). Let f be z(-4). Factor 0 + 1/2*o + 0*o**f - 1/2*o**3.
-o*(o - 1)*(o + 1)/2
Factor -10*y - 2*y**2 + y + y**4 + 1 + 9*y.
(y - 1)**2*(y + 1)**2
Factor 2*a**5 - a**4 + 2*a**2 + 3*a**5 - 6*a**5 + a - a**4.
-a*(a - 1)*(a + 1)**3
Let w = 5 + -6. Let o(n) = -n**2 + n - 1. Let k(r) = -3*r**2 + 3*r - 12. Let v(c) = w*k(c) + 6*o(c). Suppose v(d) = 0. What is d?
-1, 2
Let z be (-4*1 + 1)/(546/(-728)). Suppose 6/7*s + 12/7*s**3 + 15/7*s**2 + 0 + 3/7*s**z = 0. What is s?
-2, -1, 0
Let b = 15 + -12. Factor -n**4 + n**2 + 4*n**3 - b - 3*n**3 - n + 3.
-n*(n - 1)**2*(n + 1)
Suppose -3*s + 2*s + 3*u = -3, -3*u - 3 = -5*s. Suppose 12 = -b + 3*l, 0 = -3*l - 6 + 18. Factor s + 1/2*x**2 + x**3 + b*x + 1/2*x**4.
x**2*(x + 1)**2/2
Let p(f) = 2*f**3 + 4*f**2 - 21*f - 15. Let g be p(-4). Find d, given that 0*d + 3*d**2 - 3/2*d**g - 9/4*d**4 + 3/2*d**3 - 3/4 = 0.
-1, 1/2, 1
Let d(n) = n**5 + n**3 - n**2 - n + 1. Let o(g) = 7*g**5 - 4*g**4 + 7*g**3 - 9*g**2 - 9*g + 9. Let y(j) = -18*d(j) + 2*o(j). Factor y(a).
-4*a**3*(a + 1)**2
Let t(i) = 15*i**4 + 17*i**3 + 13*i**2 + 9*i + 11. Let h(x) = 7*x**4 + 8*x**3 + 6*x**2 + 4*x + 5. Let r(l) = 13*h(l) - 6*t(l). Let r(s) = 0. Calculate s.
-1, 1
Solve 0 + 20/7*o**5 - 48/7*o**4 - 8/7*o**2 + 36/7*o**3 + 0*o = 0.
0, 2/5, 1
Let t(m) = -5*m**4 + 7*m**3 - 4*m**2 + 4*m. Let k(j) = -j**4 + j**3 - j**2 + j. Let b(x) = -4*k(x) + t(x). Factor b(s).
-s**3*(s - 3)
Let i be 16/12 + 3 - 9/3. Factor 4/3 - i*g + 1/3*g**2.
(g - 2)**2/3
Suppose a + 4 = -2*z - 2, 4*z = -12. Let 4/7*k**4 - 6/7*k**3 + 2/7*k**2 + a*k + 0 = 0. Calculate k.
0, 1/2, 1
Let r be (-19)/19 + 1 + 0. What is a in 0*a + r - 2/7*a**3 - 2/7*a**2 = 0?
-1, 0
Suppose z + 10 = -0*z + 2*t, -4*z - 4*t = -20. Let 4/3*y**3 - 2/3*y + 0 + 0*y**4 + z*y**2 - 2/3*y**5 = 0. Calculate y.
-1, 0, 1
Factor 4/3 - 4/3*k - 4/3*k**2 + 4/3*k**3.
4*(k - 1)**2*(k + 1)/3
Let n = -5 - -7. Determine j so that -3*j - 5*j**2 + 4*j + 2*j + n*j**2 = 0.
0, 1
Let w = -354 - -358. Factor 0*j + 2/13*j**3 + 0*j**2 + 0 - 4/13*j**w.
-2*j**3*(2*j - 1)/13
Let v = 40 - 38. Factor 2/5 + 3/5*h + 1/5*h**v.
(h + 1)*(h + 2)/5
Let y be 0*((-16)/(-6) + -3). Let t(o) be the first derivative of 2/3*o**3 - 4/7*o**4 - 2/7*o**2 + 6/35*o**5 - 2 + y*o. Factor t(i).
2*i*(i - 1)**2*(3*i - 2)/7
Let q(n) be the third derivative of -n**10/20160 + n**9/2520 - n**8/896 + n**7/840 + n**4/24 - 3*n**2. Let o(d) be the second derivative of q(d). Factor o(z).
-3*z**2*(z - 2)*(z - 1)**2/2
Let n(a) = -7*a**5 + 9*a**4 - 2*a**3 + 6*a - 6. Let u(o) = -6*o**5 + 8*o**4 - 2*o**3 + 5*o - 5. Let d(g) = 5*n(g) - 6*u(g). What is j in d(j) = 0?
0, 1, 2
Solve 6/5*n**3 - 9/5*n**4 + 21/5*n**2 + 0 + 6/5*n = 0.
-1, -1/3, 0, 2
Factor -9*d**2 + 18*d**2 - 4 - 8 + 3*d**3.
3*(d - 1)*(d + 2)**2
Suppose 2*f = -4 + 2, -8 = -3*o + 2*f. Factor -2/9*k**o + 0 - 2/9*k.
-2*k*(k + 1)/9
Find q, given that 35*q**2 - 15*q**4 - 5*q**5 + 14*q**5 - 3*q**3 - 20 - 2*q**3 - 4*q**5 = 0.
-1, 1, 2
Let k(y) be the third derivative of -y**8/8640 - y**7/945 - y**6/540 + y**5/20 - y**2. Let c(s) be the third derivative of k(s). Let c(d) = 0. What is d?
-2, -2/7
Let k(m) = -10 - 2 + 6 + 2*m. Let t be k(4). Let 0*l - 4*l**t - 8/5*l**5 - 8*l**3 - 6*l**4 + 2/5 = 0. What is l?
-1, 1/4
Let k(h) be the first derivative of -4 - 1/9*h**3 + 1/3*h**2 - 1/3*h. Factor k(z).
-(z - 1)**2/3
Suppose 1/3*r**2 - r + 0 = 0. What is r?
0, 3
Let g = 249 - 2239/9. Let a(w) be the third derivative of -1/20*w**5 + w**2 + 0*w - g*w**3 + 1/6*w**4 + 0. Factor a(t).
-(3*t - 2)**2/3
Let p(l) be the third derivative of 3*l**6/140 + 8*l**5/105 - l**4/21 + 39*l**2. Find i, given that p(i) = 0.
-2, 0, 2/9
Solve 35*z**4 - 17*z**2 - 9490*z**3 + 9670*z**3 - 8*z**5