of -1/5*s**5 + 0*s**2 + 1/90*s**6 + 2*s + 2/63*s**7 + 0 - 11/36*s**4 - 1/9*s**3. Determine c so that a(c) = 0.
-1, -1/4, 0, 2
Let y = 18 + -13. Let g(j) be the second derivative of 0*j**4 - 1/2*j**2 - 1/4*j**3 + 0 + 1/40*j**y - j. Suppose g(x) = 0. What is x?
-1, 2
Factor t**4 - 119*t**5 + 120*t**5 + 2*t**4 + 2*t**3.
t**3*(t + 1)*(t + 2)
Factor -40/3 + 112/3*m**2 + 52/3*m + 20/3*m**3.
4*(m + 1)*(m + 5)*(5*m - 2)/3
Let v(a) be the first derivative of -3 + 1/3*a**3 + a - 2/5*a**5 - 1/2*a**4 - 1/12*a**6 + 5/4*a**2. Solve v(o) = 0.
-2, -1, 1
Let u = -13 + 15. Solve -2*p**2 + 6*p**2 + 0*p**u = 0.
0
Let n(a) = -6*a**2 + a - 5. Let c(r) = -7*r**2 + r - 6. Let x(l) = l**2 + l + 5. Suppose -2*d - 2*d = 0. Let k be x(d). Let t(f) = k*c(f) - 6*n(f). Factor t(m).
m*(m - 1)
Let d(q) be the second derivative of 0*q**2 + 1/12*q**4 + 0 - 1/6*q**3 + 5*q. Factor d(x).
x*(x - 1)
Let c(q) be the first derivative of -q**4/24 - q**3/18 + q**2/12 + q/6 + 3. Factor c(p).
-(p - 1)*(p + 1)**2/6
Let i(l) be the third derivative of -l**7/490 - l**6/280 + 8*l**2. Solve i(r) = 0 for r.
-1, 0
Let m(n) be the first derivative of n**5 - 10*n**3 - 20*n**2 - 15*n - 9. Factor m(w).
5*(w - 3)*(w + 1)**3
Factor 0*u + 1/6 - 1/6*u**2.
-(u - 1)*(u + 1)/6
Factor j**4 + 163 - 5*j**3 - 163 - 4*j + 8*j**2.
j*(j - 2)**2*(j - 1)
Let u(z) be the second derivative of -7*z**5/20 - z**4/6 + 5*z. What is x in u(x) = 0?
-2/7, 0
Let j(w) be the third derivative of 1/20*w**5 - 5*w**2 + 0 - 1/8*w**4 - w**3 + 0*w. Factor j(h).
3*(h - 2)*(h + 1)
Let g be 0/1 - (-4)/2. Factor 3*h + 20*h**3 - 2 + g*h**5 - 10*h**4 - 12*h**2 + 7*h - 8*h**2.
2*(h - 1)**5
Let -1/2*m**4 - 3/2 + 2*m**2 - m + m**3 = 0. Calculate m.
-1, 1, 3
Let t = 214 + -214. Solve 0*i**2 - 8/13*i + 2/13*i**4 + 6/13*i**3 + t = 0.
-2, 0, 1
Suppose 35 = 5*a - 2*p, a = -2*a + 2*p + 21. Find j, given that -2*j + j**2 + a + 0*j - 6 = 0.
1
Let g = -47/17 - -457/153. Factor -g + 1/9*y**2 + 1/9*y.
(y - 1)*(y + 2)/9
Let q(m) be the third derivative of m**7/945 - m**5/270 - 12*m**2. Find g, given that q(g) = 0.
-1, 0, 1
Let w be (-1 - (-1)/2)*0. Let g = w + 0. Factor g*q + 0*q - q + q**2.
q*(q - 1)
Let w(t) be the third derivative of -t**10/10080 - t**9/5040 + t**8/2240 + t**7/840 - t**4/3 + 6*t**2. Let h(x) be the second derivative of w(x). Factor h(a).
-3*a**2*(a - 1)*(a + 1)**2
Let s = -32 + 35. Let b(a) be the first derivative of 1/5*a**5 + 8*a**s + 2*a**4 + 16*a**2 + 3 + 16*a. Factor b(y).
(y + 2)**4
Let g(d) = -2*d - 11. Let h(n) = -n - 5. Let x(u) = 6*g(u) - 13*h(u). Let q(a) = a**2 - 6*a + 5. Let l(o) = q(o) + 5*x(o). Find c, given that l(c) = 0.
0, 1
Let n(i) = -i - 7. Let c be n(-7). Let t(m) be the third derivative of -1/270*m**5 + 0*m**4 + 2*m**2 + c*m + 0 + 1/27*m**3. Let t(r) = 0. What is r?
-1, 1
Let r be (30/(-25))/((-6)/20). Suppose 14*t**r - 4*t**2 - 6*t**5 + 2/3 - 20/3*t**3 + 2*t = 0. Calculate t.
-1/3, 1
Let l(b) be the first derivative of b**4/2 - 28*b**3/9 + 17*b**2/3 - 4*b - 19. Determine z so that l(z) = 0.
2/3, 1, 3
Suppose -3*g + 0 = 3*a + 6, 0 = -2*a - g. Factor -1/4*p**a + p - 1.
-(p - 2)**2/4
Let g(h) be the third derivative of 1/30*h**5 - 7/108*h**4 + 0 - 2/27*h**3 + 3*h**2 + 0*h. Factor g(q).
2*(q - 1)*(9*q + 2)/9
Find m, given that 3/2*m - 3/8*m**2 + 9/2 = 0.
-2, 6
Suppose -11*n + 6*n = 0. Let m(y) be the second derivative of -1/30*y**4 + 1/5*y**2 + n*y**3 + 2*y + 0. Let m(q) = 0. What is q?
-1, 1
Let v = 38 + -112/3. Suppose -2/3*z - 4/3*z**2 + v = 0. What is z?
-1, 1/2
Solve 0 + 3/2*u - 3/2*u**3 - 9/4*u**4 + 9/4*u**2 = 0 for u.
-1, -2/3, 0, 1
Let o be 3 - 1*(-39)/(-15). Let v(r) be the second derivative of 2*r - o*r**6 + 1/21*r**7 + 0 + 4/3*r**3 - 2*r**4 + 13/10*r**5 + 0*r**2. Factor v(a).
2*a*(a - 2)**2*(a - 1)**2
Let g be (-2)/9 - 16/(-72). Factor -2/7*c**4 + 6/7*c**2 + 0 + g*c**3 - 4/7*c.
-2*c*(c - 1)**2*(c + 2)/7
Let z(t) be the first derivative of 1/24*t**3 - 1/2*t**2 - 3 - 1/240*t**5 + 0*t + 0*t**4. Let v(g) be the second derivative of z(g). Let v(r) = 0. What is r?
-1, 1
Let u(b) be the second derivative of 5/12*b**4 + 0 + 1/30*b**6 + 3*b + 1/5*b**5 + 0*b**2 + 1/3*b**3. Determine a, given that u(a) = 0.
-2, -1, 0
Suppose -10*v + 11 = -9. Determine n so that -5/2*n + 3/4*n**v + 3/4 = 0.
1/3, 3
Let b(h) be the third derivative of -h**9/7560 - h**8/1120 - h**7/420 - h**6/360 - h**4/6 - 3*h**2. Let d(r) be the second derivative of b(r). Factor d(o).
-2*o*(o + 1)**3
Let c be (28/20)/(2/5). Let o(q) be the first derivative of -12/5*q**5 + 4*q - c*q**4 - 1 + 7*q**2 + 8/3*q**3. Suppose o(f) = 0. Calculate f.
-1, -2/3, -1/2, 1
Factor -2*v - 2/5*v**2 - 12/5.
-2*(v + 2)*(v + 3)/5
Suppose -156 - 4*p**2 + 40*p + 78 + 78 = 0. Calculate p.
0, 10
Let g(l) be the second derivative of -l**4/18 + 4*l**3/9 - 4*l**2/3 + 3*l. Let g(y) = 0. What is y?
2
Factor -6/5 + 1/5*n**2 - n.
(n - 6)*(n + 1)/5
Suppose 5*z = z, 2*p - 6 = -z. Factor 18*y**3 - 4*y**4 + p*y**5 - 5*y**4 - 3*y**4 + 3*y - 12*y**2.
3*y*(y - 1)**4
Suppose -d = -2*g - 1, 0*d = -3*d + 3. Let g*x**2 + 0 - 1/5*x**3 + 1/5*x = 0. What is x?
-1, 0, 1
Suppose -3 = m + 3*m + 5*f, -2*m = f + 3. Let g be (m + 11/6)*-3. Factor 27/4*i**4 + 19/4*i + 63/4*i**2 + 81/4*i**3 + g.
(i + 2)*(3*i + 1)**3/4
Let a(q) be the third derivative of 1/80*q**5 - 2*q**2 + 0*q + 1/24*q**3 + 0 + 1/480*q**6 + 1/32*q**4. Determine y, given that a(y) = 0.
-1
Let v(k) be the second derivative of -k**5/50 - 7*k**4/30 - 8*k**3/15 + 16*k**2/5 - 12*k + 1. Factor v(u).
-2*(u - 1)*(u + 4)**2/5
Let i(r) = r + 5. Let c be i(-3). Determine w, given that -5*w**2 - w**3 - 3 + c*w**3 - 1 + 0*w**2 + 8*w = 0.
1, 2
Let h = 14825/11 + -1347. Factor h*n + 2/11 - 10/11*n**2.
-2*(n - 1)*(5*n + 1)/11
Let l be (2/(-6))/((-17)/3 - -4). Find c such that -1/5*c**2 + 2/5*c - l*c**3 + 0 = 0.
-2, 0, 1
Let s(v) = -12*v**2 + 8*v + 10. Suppose 2*h - 7*h = -50. Let d be 1/(-4) + h/8. Let l(c) = c**2 - c - 1. Let t(o) = d*s(o) + 10*l(o). Factor t(g).
-2*g*(g + 1)
Let o(j) = 2*j**2 - 7*j. Let q(c) = 3*c**2 - 10*c. Let k(w) = 7*o(w) - 5*q(w). Let t(v) = 4*v. Let r(i) = 2*k(i) - t(i). Let r(g) = 0. What is g?
-1, 0
Suppose 70 = 2*h + 2*h - a, -4*h + 72 = -2*a. Suppose -t + 14 = 3*m, 0*t = -4*m - 3*t + h. Factor -5 + m - c**5 - c**4.
-c**4*(c + 1)
Let 0 + 0*r**2 - 1/2*r**4 + 0*r - 1/2*r**3 = 0. Calculate r.
-1, 0
Let y = -63 + 65. Let x(l) be the third derivative of 4*l**y + 0 - 1/24*l**3 + 0*l - 1/48*l**4 - 1/240*l**5. Factor x(w).
-(w + 1)**2/4
Factor 2*m**2 - 3 + 2 - 1 - 4*m**2 - 4*m.
-2*(m + 1)**2
Let o be ((-18)/24)/(2 - 3). Factor -7/4*w - o*w**2 + 3/2.
-(w + 3)*(3*w - 2)/4
Suppose 4*n - 3 = 5*y - 9, -5*y + 11 = n. Let l(u) be the first derivative of 10/21*u**3 - n - 3/14*u**4 - 2/7*u**2 + 0*u. Suppose l(r) = 0. Calculate r.
0, 2/3, 1
Let k(t) be the first derivative of 3*t**4/4 - 3*t**3 + 9*t**2/2 - 3*t + 2. Factor k(f).
3*(f - 1)**3
Let t = -23/8 + 27/8. Suppose 1/2*s - t*s**3 + 0*s**2 + 0 = 0. Calculate s.
-1, 0, 1
Let i(m) be the first derivative of 8/5*m + 3 + 19/10*m**4 + 10/3*m**3 + 1/15*m**6 + 16/5*m**2 + 14/25*m**5. Factor i(j).
2*(j + 1)**3*(j + 2)**2/5
Let t(a) = 2*a**2 + 1. Let s be t(-1). Determine j, given that 2*j**2 - 5*j**2 + 4*j - j**s - 2*j**3 + 2*j = 0.
-2, 0, 1
Let j be 3/5 + (41/(-5) - -8). Solve 24/5*k**2 - 26/5*k**3 + 0 - 8/5*k + 12/5*k**4 - j*k**5 = 0.
0, 1, 2
Let k(y) = 7*y**3 - 6*y**2 - 15*y - 3. Let n(p) = -p**2 + p + 1. Let l(h) = 3*k(h) - 3*n(h). Solve l(x) = 0.
-1, -2/7, 2
Factor -4/5*p**4 + 4/5*p**3 + 0 + 0*p**2 + 0*p.
-4*p**3*(p - 1)/5
Let x(f) be the third derivative of f**6/40 + f**5/10 - f**4/8 - f**3 + 17*f**2. Factor x(p).
3*(p - 1)*(p + 1)*(p + 2)
Let s be ((-5)/(-5))/((-2)/(-6)). Let r = 1 + 3. Find h, given that -5*h + 4*h + h**2 - 6*h**4 + h**s + 5*h**r = 0.
-1, 0, 1
Find p, given that -2/3*p**4 - 2/3*p**5 + 0 + 0*p**2 + 0*p**3 + 0*p = 0.
-1, 0
Solve -2*q - 2*q**2 + 0*q - 4*q + 6 + 2*q = 0.
-3, 1
Suppose -4*r = 106 - 106. Factor -2/11*y**4 + 4/11*y**2 + r*y + 0*y**3 - 2/11.
-2*(y - 1)**2*(y + 1)**2/11
Let k = -53279/120 + 444. Let i(u) be the third derivative of 0 + 0*u + 4*u**2 + 1/48*u**4 - k*u**5 + 0*u**3. Solve i(b) = 0 for b.
0, 1
Let x(c) be the second derivative of -c**7/147 - c**6/35 + c**5/70 + 11*c**4/42 + 4*c**3/7 + 4*c**2/7 + 3*c. Find b such that x(b) = 0.
-2, -1, 2
Let l be 20/