be (-7)/(-24) + (-10)/(72 + 8). Let c(w) be the first derivative of 7/18*w**3 - 1/6*w - p*w**2 - 1/6*w**4 - 1. Let c(l) = 0. What is l?
-1/4, 1
Factor -3/8*w + 1/8*w**4 - 1/4 + 1/8*w**2 + 3/8*w**3.
(w - 1)*(w + 1)**2*(w + 2)/8
Let o(v) be the second derivative of 1/3*v**2 + 19/18*v**3 + 3/10*v**6 + 27/20*v**5 + 7/4*v**4 + 0 + v. Determine g, given that o(g) = 0.
-2, -1/3
Let z(p) be the second derivative of p**6/70 - 3*p**5/28 + 2*p**4/7 - 2*p**3/7 - 25*p. Determine i so that z(i) = 0.
0, 1, 2
Let g(d) be the first derivative of -d**3/12 + d**2/2 - 3*d/4 + 5. Let g(x) = 0. Calculate x.
1, 3
Suppose -3 + 0 = -z. Factor 6*j**2 - z + j**4 + 0*j**4 - 4*j**4.
-3*(j - 1)**2*(j + 1)**2
Let u = 134/3 - 44. Let i be 0*(-1)/(-2) - 0. What is t in i*t + 0*t**3 + 1/3*t**4 + 1/3 - u*t**2 = 0?
-1, 1
Let a be -4 - (164/(-18))/1. Let n = a - 40/9. Factor n*h - 2/3*h**4 + 2*h**3 + 0 - 2*h**2.
-2*h*(h - 1)**3/3
Let y(f) = -f - f + f**4 + f + f**3 + f**2. Let a(v) = -2*v**4 - 3*v**3 + 3*v. Let z(r) = a(r) + y(r). Determine h so that z(h) = 0.
-2, -1, 0, 1
Factor -4/13*d + 2/13*d**2 + 0.
2*d*(d - 2)/13
Suppose -3*v - 2 = -k + 3*k, -4*k + 2 = 3*v. Let f be 8/(-4)*(1 - k). Factor 0 + 10/3*i**f + 14/3*i**3 + 2*i**4 + 2/3*i.
2*i*(i + 1)**2*(3*i + 1)/3
Let y be (-182)/77 - (-3 + -3). What is z in 14/11*z**2 - y*z**3 + 2*z**4 + 0 + 4/11*z = 0?
-2/11, 0, 1
Let p(v) be the third derivative of 2*v**7/315 - 7*v**6/360 + v**5/90 + v**4/72 - 5*v**2. Factor p(n).
n*(n - 1)**2*(4*n + 1)/3
Factor -3*n**3 - 14*n - 8 + 2*n**3 + 0*n + 2*n - 6*n**2.
-(n + 2)**3
Let s be (42/(-168))/((-1)/8). Solve -1/5*d**4 + 0*d - 1/5*d**3 + 0*d**s + 0 = 0.
-1, 0
Let o(a) be the first derivative of -a**3/3 - 3*a**2 - 9*a + 4. Factor o(p).
-(p + 3)**2
Let f be ((-4)/3)/(12/(-18)). Suppose -3*b - 1 = f*y - 4*b, -5*b + 23 = -y. Factor -2/7 - 6/7*v - 4/7*v**y.
-2*(v + 1)*(2*v + 1)/7
Let w(b) be the second derivative of b**4/30 - b**3/5 + 2*b**2/5 - 29*b. Factor w(p).
2*(p - 2)*(p - 1)/5
Let a(q) be the third derivative of q**8/756 + 13*q**7/1890 + q**6/72 + 7*q**5/540 + q**4/216 + 11*q**2. Factor a(r).
r*(r + 1)**3*(4*r + 1)/9
Let o = 2 + -2. Suppose 2*p + 4*r = o, -p - 5*r - 2 = -r. Factor -4*k - k**3 + 3*k + k - k**p.
-k**2*(k + 1)
Let q(w) be the second derivative of w**4/20 + w**3/5 - 9*w**2/10 - 15*w. Suppose q(i) = 0. What is i?
-3, 1
Let v be (8/(-36))/((-8)/12). Let k(q) be the first derivative of 0*q**2 + 0*q**4 + 1/10*q**5 - 3 + 1/2*q - v*q**3. Factor k(c).
(c - 1)**2*(c + 1)**2/2
Let x = -76 + 76. Let g(k) be the third derivative of 0*k + x + 3*k**2 - 1/180*k**5 + 0*k**3 - 1/72*k**4. Solve g(f) = 0.
-1, 0
Suppose 35 = -3*q - 2*q. Let z = -5 - q. Factor 1/2*x - 1/2*x**4 - 1/2*x**3 + 0 + 1/2*x**z.
-x*(x - 1)*(x + 1)**2/2
Let h(p) be the third derivative of 8*p**7/1155 - p**6/66 - p**5/30 - p**4/66 + 11*p**2. Suppose h(i) = 0. What is i?
-1/2, -1/4, 0, 2
Factor 2/3 - 2/3*v + 2/3*v**3 - 2/3*v**2.
2*(v - 1)**2*(v + 1)/3
Let o(u) be the first derivative of -2*u**3/3 - u**2 + 4*u + 9. Factor o(v).
-2*(v - 1)*(v + 2)
Suppose -6*t + 20 = -t. Suppose 16 = 2*a - t*b, -4*a + 2*b = a - 24. What is j in j**5 - 4/3*j**3 + 2/3 - 2*j**2 + 1/3*j + 4/3*j**a = 0?
-1, 2/3, 1
Let d(q) be the third derivative of -q**8/112 + q**7/70 + q**6/40 - q**5/20 - 6*q**2. Factor d(o).
-3*o**2*(o - 1)**2*(o + 1)
Let s(h) be the first derivative of -25*h**4 - 60*h**3 - 48*h**2 - 16*h - 20. Factor s(p).
-4*(p + 1)*(5*p + 2)**2
Let t(l) be the first derivative of l**5/60 + l**4/36 + 2*l - 2. Let g(n) be the first derivative of t(n). Solve g(q) = 0 for q.
-1, 0
Suppose r = -2*a + 9, 0 = 4*a - 4*r - 9 - 39. Suppose u - a = 2. Factor -5*n**4 + 5*n - n**2 + 11*n**3 + n**5 - n**3 - 1 - u*n**2.
(n - 1)**5
Suppose -5*f + 6 = -4. Find t, given that 2*t - t**2 + f*t**2 + 0*t = 0.
-2, 0
Let -4/5*a**2 + 2/5*a**3 + 0 + 0*a = 0. Calculate a.
0, 2
Let n be 3 - (4 + 0 + -1). Let m(v) be the second derivative of 1/15*v**3 + 1/15*v**4 + n*v**2 - v + 0 + 1/50*v**5. Suppose m(w) = 0. Calculate w.
-1, 0
Let r(u) be the second derivative of -4*u**6/165 + 17*u**5/110 - 4*u**4/11 + 13*u**3/33 - 2*u**2/11 - 10*u. Determine g so that r(g) = 0.
1/4, 1, 2
Let l(i) be the first derivative of 7*i**5/80 - i**4/24 - 7*i**3/24 + i**2/4 + 3*i + 2. Let x(p) be the first derivative of l(p). Find m such that x(m) = 0.
-1, 2/7, 1
Let u(g) be the first derivative of -g**6/1440 - g**5/480 + g**3/3 - 4. Let v(z) be the third derivative of u(z). Factor v(a).
-a*(a + 1)/4
Suppose -2*n + 31 = -5*z, -4*n + 5*z = -39 + 2. Determine f so that 0 + 0*f**2 - 1/4*f**n + 3/4*f**4 + 0*f = 0.
0, 1/3
Let q(s) be the first derivative of -s**6/24 + 3*s**5/20 + 3*s**4/8 - 5*s**3/6 - 21*s**2/8 - 9*s/4 - 35. Factor q(m).
-(m - 3)**2*(m + 1)**3/4
Let r be (0 - (-2)/(-4))/((-1)/10). Let d(m) be the second derivative of 1/2*m**4 + 4*m + 0 + m**3 - 2*m**2 + 1/5*m**6 - 7/10*m**r. Factor d(h).
2*(h - 1)**3*(3*h + 2)
Determine t, given that -3*t + 3*t**2 - 3*t**4 + 9/4*t**3 + 3/4*t**5 + 0 = 0.
-1, 0, 1, 2
Suppose 0 = -v - 3 + 4. Factor -5*f**4 + f**3 - 2*f - 2*f - 11*f**3 - f - 10*f**2 - f**5 - v.
-(f + 1)**5
Let m = -2 + 5. Factor 2 - 2 - m - u**2 + 4.
-(u - 1)*(u + 1)
Suppose -3*g + g + 24 = 4*m, -m = -4*g + 12. Find s such that m + 2*s**2 - 2*s - 4 - 4 = 0.
-1, 2
Let -4/5*z**2 + 0*z + 0 = 0. Calculate z.
0
Suppose -x - 2*r = 0, -5*r = 3*x - x + 2. Factor 6*o**2 + 2*o**4 + 2*o**4 + o**3 - 2*o**x + 5*o**3 + 2*o.
2*o*(o + 1)**3
Factor 4 + 2/3*x**2 - 10/3*x.
2*(x - 3)*(x - 2)/3
Let j(n) be the second derivative of 0 + 0*n**3 - 1/2*n**2 + 0*n**4 + 1/60*n**5 + 2*n. Let t(v) be the first derivative of j(v). Factor t(p).
p**2
Let l(a) be the second derivative of -3*a**5/40 - 5*a**4/24 - a**3/6 + 32*a. Find h such that l(h) = 0.
-1, -2/3, 0
Let t(f) = 4*f**4 - f**3 + 7*f**2 - 7*f. Let z(r) = r**4 + 2*r**2 - 2*r. Let h(b) = -4*t(b) + 14*z(b). Suppose h(o) = 0. What is o?
0, 2
Suppose -2*i + 25 + 49 = 5*g, -5*g + 3*i = -64. Let t = 3 - 0. Solve 18*r**5 - 3*r**2 + t*r**2 - g*r**3 - 8*r - 36*r**4 + 32*r**2 = 0.
-1, 0, 1/3, 2/3, 2
Suppose 0*f + f - 5 = 0. Let x(v) be the second derivative of 0 + 0*v**2 + 2*v + 1/3*v**3 + 0*v**4 - 1/10*v**f. Find y such that x(y) = 0.
-1, 0, 1
Suppose j + 2*j - k = 15, -4*j = -4*k - 28. Determine w so that w**j + 1/5*w**2 - 2/5*w + 0 + 8/5*w**3 = 0.
-1, 0, 2/5
Let n(l) = 13*l + 16*l - 6*l + 14*l**2 - 3*l. Let s(t) = -5*t**2 - 7*t. Let c(b) = 3*n(b) + 8*s(b). Factor c(p).
2*p*(p + 2)
Suppose -4*j + 2*j = -4*f + 50, -5*f + 4*j = -55. Factor -7*o**2 + 3 - 4*o + f*o**2 - 1 - 6*o.
2*(o - 1)*(4*o - 1)
Let i(q) be the second derivative of 4*q**7/21 - 22*q**6/15 + 43*q**5/10 - 73*q**4/12 + 14*q**3/3 - 2*q**2 + 21*q. Determine r, given that i(r) = 0.
1/2, 2
Let p(v) = -4*v + 36. Let t be p(9). Determine r so that 0*r**3 + 0*r + t*r**2 + 1/3*r**4 + 4/3*r**5 + 0 = 0.
-1/4, 0
Let s = 6 + -3. Suppose -6*x**4 + 2 - 6*x**3 + 3*x + 0*x**s + 3*x**5 + 12*x**2 - 8 = 0. Calculate x.
-1, 1, 2
Let v(o) = 6*o**2 - 9*o - 3. Let p(b) = -11*b**2 + 17*b + 5. Let j(c) = -3*p(c) - 5*v(c). Factor j(y).
3*y*(y - 2)
Solve -2/15*x**2 - 2/3*x + 0 = 0 for x.
-5, 0
Let k = 15 - 11. Suppose -3*b + 2 + k = 0. Let 2*i**2 + i - 2 + b = 0. What is i?
-1/2, 0
Let y(z) be the second derivative of -z**4/45 - z**3/45 + z**2/15 + 2*z. Factor y(u).
-2*(u + 1)*(2*u - 1)/15
Let x = 48 - 42. Let h(n) be the second derivative of -3*n - 2*n**2 - 1/5*n**5 + 2/3*n**3 + 0 + 1/30*n**x + 1/4*n**4. Factor h(z).
(z - 2)**2*(z - 1)*(z + 1)
Let l(w) be the first derivative of -w**7/315 + 7*w**6/540 + w**5/90 - 2*w**3/3 - 3. Let f(n) be the third derivative of l(n). Factor f(z).
-2*z*(z - 2)*(4*z + 1)/3
Let b be 34 + -37 + 1 + 44/18. Let -2/3*k - 2/9 - b*k**2 = 0. What is k?
-1, -1/2
Let p be 24/44 + (-1124)/(-198). Let s = -2122/9 - -716/3. Find y, given that -s*y - 4/9 - 26/9*y**2 + p*y**3 = 0.
-2/7, -1/4, 1
Find j, given that -20*j**4 + 4*j**5 + 25*j**4 + 35*j**4 + 320*j**2 + 128 + 160*j**3 + 320*j = 0.
-2
Let p = -338 - -341. Factor 0*b**p + 0 + 0*b + 0*b**2 + 0*b**4 - 1/4*b**5.
-b**5/4
Let j be 2*(-4)/48*-2. Let m = -13 - -13. Factor 1/3*g - j*g**3 + m + 0*g**2.
-g*(g - 1)*(g + 1)/3
Let z be 3/(-30) - ((-69)/15 + 4). Find x such that -3/2*x + 1 + z*x**2 = 0.
1, 2
Find c, given that -4/5*c**2 + 0 + 0*c + 14/5*c**3 - 2*c**4