 + 1/4*z**6 + 0 + 1/2*z**2 - n*z**4 - 3*z - 1/12*z**3. Suppose m(x) = 0. What is x?
-1, -2/5, 1/3, 1
Let k = 3 - 1. Let g(f) = -13*f + 3*f**2 - 10*f**3 - 7 + 5*f + 6*f**2 - 2. Let x(a) = a**3 - a**2 + a + 1. Let r(u) = k*g(u) + 18*x(u). Factor r(m).
-2*m*(m - 1)*(m + 1)
Determine w, given that -27/7 - 6*w**3 - 3/7*w**5 + 45/7*w + 6/7*w**2 + 3*w**4 = 0.
-1, 1, 3
Let v = 291/2 + -1449/10. Factor -6/5*w**2 + 3/5*w**3 + 0 + v*w.
3*w*(w - 1)**2/5
Suppose 3*d - 3 = 5*y, d - y = 2*d - 9. Let g(j) be the first derivative of -8*j - 1 - 7/2*j**4 + 12*j**2 + d*j**3. Factor g(p).
-2*(p - 2)*(p + 1)*(7*p - 2)
Let f be 0 + 2 - (-3)/(-18)*8. Determine n, given that -f*n**4 + 2/3*n + 0 + 2*n**3 - 2*n**2 = 0.
0, 1
Let g(n) be the first derivative of n**5/10 - 33. Suppose g(u) = 0. Calculate u.
0
Let v(a) be the first derivative of a**4/3 + 5*a**3/9 - 11*a**2/12 + a/3 - 9. Factor v(r).
(r + 2)*(2*r - 1)*(4*r - 1)/6
Let n(q) be the third derivative of -q**8/84 + 5*q**7/42 - 11*q**6/60 - q**5/3 + 13*q**4/12 - 5*q**3/6 + 34*q**2. Suppose n(c) = 0. Calculate c.
-1, 1/4, 1, 5
Suppose 5*x + 1 - 11 = 0. Factor s**2 - 4*s - x*s + 2*s**2 - s**2 + 4.
2*(s - 2)*(s - 1)
Let d(y) = 5*y**2 + 48*y - 83. Let a(m) = 2*m**2 + 16*m - 28. Let h(q) = 11*a(q) - 4*d(q). Factor h(t).
2*(t - 6)*(t - 2)
Let x = -503 + 3522/7. Solve x*a + 0 + 4/7*a**2 = 0.
-1/4, 0
Let r(b) = 2*b**3 - 24*b**2 - 28*b + 29. Let i be r(13). Let w = 54 - 269/5. Factor -6/5*y**2 - 4/5*y**i - w - 4/5*y - 1/5*y**4.
-(y + 1)**4/5
Solve -7*c**2 + 6*c**2 + 4*c**3 - 2*c**3 + 2*c**2 - c**4 - 2*c = 0 for c.
-1, 0, 1, 2
Suppose -4*x = x. Suppose x*v = -v. Factor 1/4*r**3 - 1/4*r + v + 0*r**2.
r*(r - 1)*(r + 1)/4
Suppose 6 = -2*q - 2*h, 5*q - 5*h - 10 = 5. Factor q*v**2 + 0 + 2/11*v - 2/11*v**3.
-2*v*(v - 1)*(v + 1)/11
Let c(y) be the second derivative of y**10/45360 - y**9/22680 - y**8/10080 + y**7/3780 - y**4/3 + 4*y. Let h(f) be the third derivative of c(f). Factor h(w).
2*w**2*(w - 1)**2*(w + 1)/3
Let f(g) be the first derivative of 10*g**3/3 - 13*g**2 - 12*g - 5. Factor f(j).
2*(j - 3)*(5*j + 2)
Suppose -300 = -3*f + 13*f. Let n = f + 32. Let 2/9*a**n - 2/9 + 0*a = 0. What is a?
-1, 1
Let n = -4 - -6. Factor -1 - 5*u - n*u**3 + 5*u + 2*u + u**4.
(u - 1)**3*(u + 1)
Let w be ((-16)/6)/(68/(-30)). Let b = 131/68 - w. Factor 3/4 + 3/4*z - 3/4*z**3 - b*z**2.
-3*(z - 1)*(z + 1)**2/4
Let i(q) be the third derivative of -7*q**6/120 - 2*q**5/5 - q**4/2 + q**3/2 - 6*q**2. Let p(c) be the first derivative of i(c). Factor p(a).
-3*(a + 2)*(7*a + 2)
Let i(x) be the third derivative of x**6/60 - x**5/2 + 21*x**4/4 - 49*x**3/3 - 48*x**2. Factor i(w).
2*(w - 7)**2*(w - 1)
Factor -8/3*a**3 + 2/3*a + 0 - 1/3*a**2 - 5/3*a**4.
-a*(a + 1)**2*(5*a - 2)/3
Let x(s) = -2*s**3 + 18*s**2 + 3*s - 23. Let l be x(9). Let 2*i - 3/2*i**3 + l*i**2 + 0 - 9/2*i**4 = 0. Calculate i.
-2/3, 0, 1
Suppose 0 = 5*o + c - 23, 5*o - 24 = 2*o - 4*c. Let 0 - 2*l**2 + 4/3*l**3 + 2*l**o - 4/3*l = 0. Calculate l.
-1, -2/3, 0, 1
Let g(k) = 10*k**5 - 15*k**3 + 5*k + 5. Let j(d) = 9*d**5 - d**4 - 14*d**3 + 4*d + 4. Let p(z) = 4*g(z) - 5*j(z). Find w such that p(w) = 0.
-1, 0, 2
Let v(m) be the first derivative of 1/8*m**2 - 5/24*m**3 + 7/48*m**4 - 3 - 3/80*m**5 - 2*m. Let q(b) be the first derivative of v(b). Factor q(o).
-(o - 1)**2*(3*o - 1)/4
Let d be 1/(-240)*(-1)/1. Let r(a) be the third derivative of 0 + 2*a**2 - d*a**6 + 0*a**4 + 0*a**5 - 1/168*a**7 + 0*a + 0*a**3. Find f such that r(f) = 0.
-2/5, 0
Let d(t) = -34*t**4 - 104*t**3 - 102*t**2 - 10*t + 16. Let n(x) = 35*x**4 + 104*x**3 + 101*x**2 + 9*x - 16. Let w(q) = -7*d(q) - 6*n(q). What is f in w(f) = 0?
-2, -1, 2/7
What is s in -10/3*s - 4 + 2/3*s**2 = 0?
-1, 6
Factor 8/5*o + 0 + 4/5*o**2.
4*o*(o + 2)/5
Let s(j) be the second derivative of 1/6*j**3 + 2/3*j**4 + 0*j**2 + 4*j + 0 + 49/120*j**6 + 77/80*j**5. Factor s(q).
q*(q + 1)*(7*q + 2)**2/4
Let p be (-4)/(-2) - 13/1. Let c be (1 - -1)/((-8)/p). Let 1/2 - 7/4*a**3 + 4*a**2 - c*a = 0. What is a?
2/7, 1
Suppose 3*a - 11 = 8*a - o, 3*a - 5*o - 11 = 0. Let n be 36/8*(-2)/a. Solve 0*v - 1/3*v**n + 0 + 0*v**2 + 1/3*v**4 = 0.
0, 1
Let c(k) be the second derivative of -1/2*k**2 - 1/270*k**5 - k - 1/27*k**4 - 4/27*k**3 + 0. Let w(s) be the first derivative of c(s). Factor w(h).
-2*(h + 2)**2/9
Let -5*h**3 + 10*h**3 - h - 1 + 4*h + 9*h**2 = 0. Calculate h.
-1, 1/5
Let r = -8 - -10. Let h(x) be the second derivative of 0 + 1/10*x**5 + 0*x**2 - 1/3*x**3 + 1/10*x**6 - 1/4*x**4 + r*x. Factor h(p).
p*(p - 1)*(p + 1)*(3*p + 2)
Let z be ((-9)/12)/(6/(-16)). Find p such that -3*p**2 - p**2 - 3*p**3 + 5*p**2 - 3*p**z - 3*p**5 + 8*p**4 = 0.
-1/3, 0, 1, 2
Let j be 12/(-30) - 4/(-10). Let w(n) be the third derivative of 0 + 0*n**3 + j*n - 2*n**2 + 1/168*n**4 + 1/420*n**5. Solve w(u) = 0.
-1, 0
Let h(x) = 5*x**2 - 5. Let w(a) = -4*a**2 + 4. Let o(k) = -k**2 - k + 3. Let z be o(0). Let s(m) = z*w(m) + 2*h(m). Solve s(y) = 0 for y.
-1, 1
Let b(w) be the second derivative of 0 - 1/84*w**4 + 6*w - 1/7*w**2 + 1/14*w**3. Find h such that b(h) = 0.
1, 2
Suppose -18*q + 0*q**2 - 8*q**2 + 9*q**2 - 4*q + 121 = 0. Calculate q.
11
Let t be (288/(-56))/12*2/(-3). Suppose 0*a + t*a**3 - 2/7*a**5 + 0 - 4/7*a**2 + 4/7*a**4 = 0. Calculate a.
-1, 0, 1, 2
Let u(n) be the second derivative of n**4/20 + 8*n**3/5 + 96*n**2/5 - 10*n. Factor u(k).
3*(k + 8)**2/5
Let s be 10 - 6 - 5 - 11/(-7). Factor -s + 6/7*y - 2/7*y**2.
-2*(y - 2)*(y - 1)/7
Suppose -2*j + 38 = -4*b, 5*j - 4*j = 1. Let f(l) = l**2 + 7*l - 16. Let o be f(b). Let 14/3*h**o - 8/3 - 16/3*h + 10/3*h**3 = 0. Calculate h.
-2, -2/5, 1
Let r(z) be the first derivative of 4*z**5/5 + 4*z**4 + 16*z**3/3 - 12. Factor r(k).
4*k**2*(k + 2)**2
Let p(d) be the second derivative of -d**5/20 - d**4/3 - 5*d**3/6 - d**2 - 6*d. Solve p(o) = 0 for o.
-2, -1
Let y(n) be the first derivative of -n**4/5 + 16*n**3/15 + 2*n**2/5 - 16*n/5 - 55. Let y(i) = 0. Calculate i.
-1, 1, 4
Factor 4/7*o**3 + 4/7*o**2 - 20/7*o + 12/7.
4*(o - 1)**2*(o + 3)/7
Let j be (-6)/(-8)*(-6 + 2). Let r = 5 + j. Factor -4/7 - 2/7*y**r - 6/7*y.
-2*(y + 1)*(y + 2)/7
Suppose -4 + 34 = 5*o. Let r(i) be the third derivative of 1/132*i**4 + 0 - 2*i**2 + 0*i + 0*i**3 + 1/660*i**o - 1/165*i**5. Let r(w) = 0. Calculate w.
0, 1
Suppose -2*a - 2 = -5*i + 2*a, 0 = -2*i + 4*a - 4. Suppose -i = 2*y + 4*d - 0, y - 2*d - 7 = 0. Factor 0 - 1/2*l**4 - 3/2*l**2 - 3/2*l**y - 1/2*l.
-l*(l + 1)**3/2
Solve -12/17 + 2/17*o**2 + 10/17*o = 0.
-6, 1
Let c(s) = 4*s**3 + 2*s**2 + 3*s - 3. Let n(a) = 3*a**3 + 2*a**2 + 2*a - 2. Let q(u) = -2*c(u) + 3*n(u). Find x, given that q(x) = 0.
-2, 0
Let r(z) = z**2 - z + 1. Let g(t) = -10*t - 6. Let f(i) = -g(i) + 2*r(i). Determine v, given that f(v) = 0.
-2
Let x(q) be the third derivative of -8*q**2 + 1/120*q**6 + 0*q**3 + 0*q + 0 - 1/30*q**5 + 1/24*q**4. Factor x(p).
p*(p - 1)**2
Factor -3/4*l - 5/4*l**3 + 1/4*l**4 + 7/4*l**2 + 0.
l*(l - 3)*(l - 1)**2/4
Let u(w) be the second derivative of -w**6/60 + w**4/8 + w**3/6 + 4*w. Find h such that u(h) = 0.
-1, 0, 2
Let u(o) be the first derivative of -o**7/315 - o**6/180 - 2*o**2 - 4. Let t(s) be the second derivative of u(s). Factor t(n).
-2*n**3*(n + 1)/3
Let m(t) = t. Let g(u) = -40*u**2 + 20*u - 12. Let n(a) = 16*a**2 - 8*a + 5. Let w(b) = -5*g(b) - 12*n(b). Let r(y) = 4*m(y) + 2*w(y). What is l in r(l) = 0?
0, 1/4
Let f(l) be the second derivative of 1/42*l**4 - 1/7*l**2 + 0*l**3 + 0 + 2*l. Factor f(k).
2*(k - 1)*(k + 1)/7
Let y = -119 - -361/3. Let w be 8/3 + 1/3. Factor -4/3 + 2*p + y*p**2 - 2*p**w.
-2*(p - 1)*(p + 1)*(3*p - 2)/3
Let p(n) be the first derivative of 0*n**2 + 0*n + 4 - 2/3*n**3. Factor p(q).
-2*q**2
Let l(o) be the third derivative of -o**8/840 + o**6/150 - o**4/60 - 15*o**2. Factor l(h).
-2*h*(h - 1)**2*(h + 1)**2/5
Let u(b) be the first derivative of -3*b**4/4 + b**3 + 3*b**2 + 1. Suppose u(d) = 0. What is d?
-1, 0, 2
Let c(m) be the first derivative of -m**4/54 - m**3/9 - 2*m**2/9 + 2*m - 2. Let r(d) be the first derivative of c(d). Factor r(w).
-2*(w + 1)*(w + 2)/9
Let b(i) = -i**3 + 32*i**2 - 28*i - 91. Let h be b(31). Let -3/2*k - 1 - 1/2*k**h = 0. What is k?
-2, -1
Let w be (-1*0/3)/(-3). Let n(s) be the first derivative of w*s + 4/9*s**3 - 1/6*s**2 - 1. Solve n(k) = 0 for k.
0, 1/4
Let d = 16 -