s) = 0.
-1, -1/3, 0, 1, 2
Let g be 1/(-2) + 2 - (-1)/2. Let r(v) be the second derivative of 0 + 1/72*v**4 - 3*v + 0*v**g + 0*v**3. Factor r(w).
w**2/6
Let h be (3 + 1)*1/(-10). Let n = h + 1. Let -6/5*s + n*s**2 + 3/5 = 0. What is s?
1
Suppose 0 = 5*l - l - 8. Find f such that -12*f**2 - l*f + 12*f**4 - 2 - 14*f**4 - 6*f - 8*f**3 = 0.
-1
Let h be ((-21)/14)/((-3)/(-8)). Let q be 6/h*(-3)/18. Suppose q*o**2 + 1 - o = 0. Calculate o.
2
Let t(h) = 3*h**3 - h. Let l(x) = -10*x**3 - x**2 + 2*x. Let u(y) = 6*l(y) + 21*t(y). Suppose u(q) = 0. What is q?
-1, 0, 3
Let u(y) be the first derivative of 2*y**3/45 + 2*y**2/15 - 2*y/5 + 2. Factor u(p).
2*(p - 1)*(p + 3)/15
Suppose 61*f - 8 - 26*f + 5*f**2 - 32 = 0. What is f?
-8, 1
Let q be 2/10 + 58/10. Suppose -3*a - 3 + q = 0. Find n such that -1 + 2*n + 4 - 2*n**2 - 2*n**3 - a = 0.
-1, 1
Let h(j) = -25*j**4 - 23*j**3 - 29*j**2 + 5*j + 9. Let l(v) = -6*v**4 - 6*v**3 - 7*v**2 + v + 2. Let y(m) = -2*h(m) + 9*l(m). Factor y(n).
-n*(n + 1)*(2*n + 1)**2
Let u(m) be the second derivative of 0 - 1/2*m**3 - 1/24*m**4 - 2*m - 9/4*m**2. Factor u(n).
-(n + 3)**2/2
Factor -18/13*k**2 + 4/13*k + 24/13*k**3 + 0 - 10/13*k**4.
-2*k*(k - 1)**2*(5*k - 2)/13
Let l = 72/119 + -4/119. Factor -l - 18/7*s**3 - 26/7*s - 48/7*s**2.
-2*(s + 2)*(3*s + 1)**2/7
Let t(h) be the second derivative of -5*h**8/168 - 13*h**7/105 - 3*h**6/20 + h**5/30 + h**4/6 - h**2 - h. Let z(i) be the first derivative of t(i). Factor z(w).
-2*w*(w + 1)**3*(5*w - 2)
Determine d so that -2/7*d**2 + 2/7*d + 0 = 0.
0, 1
Let r(t) be the first derivative of -t + 1/36*t**4 + 1/6*t**2 + 1/9*t**3 - 1. Let l(g) be the first derivative of r(g). Factor l(v).
(v + 1)**2/3
Let b = -765 - -1531/2. Factor 1/4*u**3 - b*u**2 + 0*u + 0.
u**2*(u - 2)/4
Let f(y) be the third derivative of 0 - 1/315*y**7 + 0*y**4 - 1/9*y**3 + 0*y**6 + 0*y + 1/45*y**5 + 4*y**2. Determine x, given that f(x) = 0.
-1, 1
Let -12 - 9 - 4 - 20*n - 10*n**2 + 15*n**2 = 0. Calculate n.
-1, 5
Let a be (30/(-4) + 6)*4/(-3). Suppose 4/9 - 8/9*v**a - 14/9*v = 0. Calculate v.
-2, 1/4
Let y(n) be the third derivative of n**8/336 + n**7/105 + n**6/120 - n**2. Factor y(m).
m**3*(m + 1)**2
Factor 9*n**3 + 7*n**2 + 9*n**4 - 3*n**2 + 7*n**5 - n**2 - 4*n**5.
3*n**2*(n + 1)**3
Let n(o) be the second derivative of -5*o**4/12 + 35*o**3/3 - 245*o**2/2 + 3*o. Solve n(b) = 0 for b.
7
Suppose -2*h + 2*f = 3*f + 2, f = 0. Let s be -2*h*6/4. Factor 0 + 2/9*k**s + 2/9*k**2 - 4/9*k.
2*k*(k - 1)*(k + 2)/9
Suppose -2*z - 9 = -5*z. Factor -3 + t**4 + 5*t**5 - 4*t**5 + z.
t**4*(t + 1)
Let b(x) = x**2 - 4*x. Let m be b(5). Let z(h) be the third derivative of -h**2 + 2/3*h**4 + 0*h - 8/15*h**m - 1/3*h**3 + 0. Factor z(k).
-2*(4*k - 1)**2
Suppose -2 = -3*y - y - 5*c, -4*c = 3*y - 1. Determine f, given that 0 - 4/5*f**y + 0*f**2 + 0*f**4 + 2/5*f**5 + 2/5*f = 0.
-1, 0, 1
Let o be 2/7 - (54/(-7) - -6). Let q(d) be the second derivative of 0 - 2*d**3 - d - 12*d**o + 1/10*d**6 + 3/4*d**5 + 3/2*d**4. Solve q(y) = 0.
-2, 1
Let j(m) be the third derivative of 1/48*m**6 + 1/12*m**4 - m**2 + 0 + 0*m + 1/15*m**5 + 1/420*m**7 + 0*m**3. What is p in j(p) = 0?
-2, -1, 0
Let u(o) = 4*o - 34. Let s be u(9). Let j(l) be the second derivative of 0*l**6 - 1/105*l**7 + 0*l**4 + 0*l**3 + 0 - 3*l + 0*l**s + 1/50*l**5. Factor j(n).
-2*n**3*(n - 1)*(n + 1)/5
Let t(u) = u**2 + 3*u - 6. Let m be t(-5). What is b in 1/2*b**m - 1 + 1/2*b**2 - 3/2*b**3 + 3/2*b = 0?
-1, 1, 2
Let p(c) be the first derivative of c**5/120 + 5*c**4/48 + c**3/3 - 5*c**2/2 + 3. Let h(t) be the second derivative of p(t). Factor h(j).
(j + 1)*(j + 4)/2
Factor -12/7*k - 20/7*k**3 + 36/7*k**2 - 4/7.
-4*(k - 1)**2*(5*k + 1)/7
Suppose 2*z + 0*z - 5*j = 25, 2*z - 20 = 4*j. Determine b, given that 8*b**2 + 11*b - 2*b**2 + z + 4 + 3*b = 0.
-2, -1/3
Let b(j) = j**3 - 7*j**2 + 11*j - 77. Let m be b(7). Determine t, given that m*t + 2/3*t**2 - 2/3 = 0.
-1, 1
Let l(p) be the second derivative of 3/100*p**5 + 0*p**2 + 1/15*p**3 - 2*p - 1/12*p**4 + 0. Factor l(u).
u*(u - 1)*(3*u - 2)/5
Factor 0*l + 0 - l**4 + 1/2*l**3 + 0*l**2 + 1/2*l**5.
l**3*(l - 1)**2/2
Let u = -51 + 53. Suppose k + 1 = 4*q, -2*q + 1 = -6*q - k. Factor -2/3*r**u + q - 4/3*r.
-2*r*(r + 2)/3
Let a = 28 - 18. Let h be -1 + 2 + (a - 11). Factor 2/3*o**3 + 2/3*o**4 + 0*o + 0*o**2 + h.
2*o**3*(o + 1)/3
Let z(a) be the third derivative of 0*a**3 + 1/30*a**5 + 1/120*a**6 + 1/24*a**4 + 0*a - a**2 + 0. Solve z(s) = 0 for s.
-1, 0
Let c = 18 + -15. Find x such that 1 + 3*x**2 - 7 + 0 - c*x = 0.
-1, 2
Let s(y) be the second derivative of 1/15*y**6 + 11/42*y**4 + 2/21*y**3 + 8/35*y**5 + 0 + 0*y**2 + 4*y. Determine k so that s(k) = 0.
-1, -2/7, 0
Let h(o) be the first derivative of -3/4*o + 3/4*o**4 - 3/2*o**3 + 3 + 3/2*o**2 - 3/20*o**5. Let h(q) = 0. What is q?
1
Factor -29/7*m**2 + 225/7 + 195/7*m + 1/7*m**3.
(m - 15)**2*(m + 1)/7
Determine v so that -2/9*v**3 + 2/9*v**2 + 16/9*v - 8/3 = 0.
-3, 2
Let y be (-4 + 3)*(2 - 5). Find w such that y*w + 3*w**2 - w + 2*w**3 + w**2 = 0.
-1, 0
Let k(h) be the first derivative of h**8/1512 - 5*h**2/2 + 2. Let g(w) be the second derivative of k(w). Let g(a) = 0. Calculate a.
0
Factor -5*l - 2 - 7*l**2 + 11*l**2 - l**2.
(l - 2)*(3*l + 1)
Let b(g) be the first derivative of -g**5/40 - g**4/6 - 5*g**3/12 - g**2/2 + 2*g - 6. Let c(x) be the first derivative of b(x). Factor c(o).
-(o + 1)**2*(o + 2)/2
Let r = -67/12 - -73/12. Factor -1/2*t**3 + 1/4 - 1/4*t**4 + 0*t**2 + r*t.
-(t - 1)*(t + 1)**3/4
Let v(i) be the first derivative of 1/6*i**3 + 1/4*i**2 + 1/24*i**4 - 2*i - 3. Let d(q) be the first derivative of v(q). Factor d(b).
(b + 1)**2/2
Let y(x) = 3*x**4 + 11*x**3 - 4*x**2 - 6*x + 6. Let j(h) = -h**3 + h**2 + h - 1. Let u(f) = -f. Let t be u(-1). Let b(o) = t*y(o) + 6*j(o). Solve b(z) = 0.
-1, -2/3, 0
Factor 10 - 1/2*k**3 + 8*k + 1/2*k**2.
-(k - 5)*(k + 2)**2/2
Let d(c) = 3*c**2 - 8 + 2*c**2 - 12*c - 2*c**2 - 4*c**2. Let f be d(-11). Factor -3*k**3 - k - 3*k**3 + 5*k**f - 3*k**4 + 2*k**3 + 3*k**2.
-k*(k - 1)*(k + 1)*(3*k - 1)
Let l(h) be the third derivative of -h**2 - 5/21*h**4 + 8/21*h**3 + 3/35*h**5 + 1/735*h**7 + 0 - 1/60*h**6 + 0*h. Factor l(y).
2*(y - 2)**3*(y - 1)/7
Let r(i) be the second derivative of -2*i**7/21 + i**6/5 - i**4/6 - 6*i. Factor r(g).
-2*g**2*(g - 1)**2*(2*g + 1)
Let f(d) be the first derivative of -2*d**6/27 - d**5/15 + d**4/36 - 4. Suppose f(p) = 0. Calculate p.
-1, 0, 1/4
Let r(t) be the first derivative of -t**9/1008 - t**8/112 - t**7/35 - t**6/30 + t**3 + 5. Let n(s) be the third derivative of r(s). Let n(d) = 0. Calculate d.
-2, -1, 0
Let a be ((-36)/64)/(-9)*12. Factor 3/4*n**3 - a + 3/4*n**2 - 3/4*n.
3*(n - 1)*(n + 1)**2/4
Let q(o) = -o**3 - 4*o**2 - 3*o - 2. Let n be q(-4). Suppose n = 2*j + 3*j. Factor 2/7*d**j - 2/7*d - 4/7.
2*(d - 2)*(d + 1)/7
Let f(x) = 8*x - 6. Let w be f(4). Suppose -p + w = 5*y + 2*p, -8 = -4*p. Factor -2*h**4 + 0*h**y + 2*h**3 - 2*h**5 + 0*h**5 + 2*h**2.
-2*h**2*(h - 1)*(h + 1)**2
Let a = -3 + -4. Let o = 23/3 + a. Factor 0*n + 0 + 2*n**4 - 2*n**3 - o*n**5 + 2/3*n**2.
-2*n**2*(n - 1)**3/3
Let h be (-12 + 6)/(6/(-4)) + -1. Solve 3/2*p**2 + 0 + 13/4*p**h + p**5 + 1/4*p + 3*p**4 = 0.
-1, -1/2, 0
Let y(v) be the second derivative of 7*v**6/15 - v**5/2 - 8*v**4/3 - 4*v**3/3 - v. Factor y(i).
2*i*(i - 2)*(i + 1)*(7*i + 2)
Let m(i) be the third derivative of -13*i**5/180 + 41*i**4/72 - i**3/3 - 2*i**2 + 9. Suppose m(v) = 0. What is v?
2/13, 3
Let c(o) = -o**3 + 6*o**2 + 5. Let h be c(6). Factor s**4 - 2*s**3 + 7*s - 2*s**2 - 2*s + s**h + 1 - 4*s.
(s - 1)**2*(s + 1)**3
Let b(s) be the second derivative of 0*s**3 - 1/18*s**4 + 0 - 5*s + 1/90*s**6 + 0*s**5 + 1/6*s**2. Find l such that b(l) = 0.
-1, 1
Let w(l) = -4*l + 2. Let d = -10 - -8. Let z be w(d). Determine p, given that z*p + 0 + 2*p**3 + 4 + 4*p**2 + 3*p**2 + p**2 = 0.
-2, -1
Let b(a) = -a - 10. Let s be b(-12). Suppose 2*k - 2*q + 8 = -s*k, -5*q = -20. Let -1/3*r**3 + k - 4/3*r**2 - 4/3*r = 0. What is r?
-2, 0
Factor 10*d**5 - 4*d**3 + 18*d**5 - 24*d**5.
4*d**3*(d - 1)*(d + 1)
Let a(p) be the first derivative of p**6/15 - 2*p**5/25 - 3*p**4/5 - 4*p**3/15 + p**2 + 6*p/5 + 4. What is r in a(r) = 0?
-1, 1, 3
Suppose -4*d - 20 = -3*x, 0 = -4*x - 3*d + 4*d + 18. Let p be -7*((-155)/35 + x). Factor 