/40*z**6 + 5*z**2 + 3/70*z**7. Let t(v) = 0. What is v?
-1, 2/3, 1
Let x(a) be the second derivative of -a**8/10080 + a**7/252 - 5*a**6/72 + 25*a**5/36 + 19*a**4/12 + 13*a. Let w(z) be the third derivative of x(z). Factor w(t).
-2*(t - 5)**3/3
Let q(j) be the third derivative of j**11/199584 + j**10/7560 + j**9/756 + j**8/189 - j**5/10 + 13*j**2. Let m(t) be the third derivative of q(t). Factor m(n).
5*n**2*(n + 4)**3/3
Suppose -50*m - 38*m - 16 - 4*m**4 + 14*m**2 + 6*m**3 + 119*m - 55*m + 6*m**2 = 0. What is m?
-2, -1/2, 2
Let a be (-2 - -5)*(3 + 4). Suppose 0 = 3*s - 0*s - a. Factor -22*z**2 - z**4 + s*z**2 + 14*z**2 + 2 + 3*z - 3*z**3.
-(z - 1)*(z + 1)**2*(z + 2)
Factor -10 - 2*p**3 - 583*p**5 + 573*p**5 + 12*p**4 + 10.
-2*p**3*(p - 1)*(5*p - 1)
Let o be -9 + 3 + 9 - 0. Suppose o*g + g = -4, 0 = y - g - 1. Find a, given that y + 1/2*a**4 + 0*a + a**3 + 1/2*a**2 = 0.
-1, 0
Let d(w) = w**2 - 5*w - 9. Let f be d(7). Suppose 4*u - 20 = -f*g, -u - 4 = -2*g + g. Factor -2*x**4 - 2*x**4 - 4*x**2 + g*x**3 + 3*x**4.
-x**2*(x - 2)**2
Suppose 0 = 3*h - 15. Let m = -47528 + 95065/2. Let -3*l**2 + m*l**5 + 21/2*l**4 + 1/2 + h*l**3 - 3/2*l = 0. What is l?
-1, 1/3
Let l = 6 - -3. Determine u, given that -2 + 9*u**2 - 3*u**3 - 3*u**5 + 2 + 67*u - 61*u - l*u**4 = 0.
-2, -1, 0, 1
Let j be -4*(-3 + 4) - -6. Find k such that k**3 - 3*k**4 - 8*k**3 - j*k**3 + 12*k**2 = 0.
-4, 0, 1
Let b be (-33)/(-3) + (-3 - -3). Suppose -3*k + 47 = b. Factor 11*g**4 - 2 - k*g**2 + 0 + 8*g**3 - 13*g**4 + 8*g.
-2*(g - 1)**4
Let s(u) be the first derivative of 0*u + 0*u**2 - 4 - 5/6*u**4 + 2/9*u**3. Factor s(t).
-2*t**2*(5*t - 1)/3
Let d = -1350 + 4066/3. Let x(v) be the third derivative of d*v**3 + 0 - 6*v**2 + 0*v + 1/30*v**5 - 2/3*v**4. Factor x(n).
2*(n - 4)**2
Suppose 258 - 130 = l + 126. Factor l*c**2 + 3/4*c**4 - 7/4*c**3 - 9/8*c + 1/4 - 1/8*c**5.
-(c - 2)*(c - 1)**4/8
Let d(y) be the second derivative of 1/60*y**5 + 0*y**3 + 16*y - 1/36*y**4 + 0*y**2 + 0. Factor d(x).
x**2*(x - 1)/3
Let a(f) = -3*f**2 - 27*f - 63. Let i(y) = 5*y**2 + 28*y + 64. Let n(s) = -4*a(s) - 3*i(s). Factor n(q).
-3*(q - 10)*(q + 2)
Suppose -19*p = 55 - 207. Let t(o) be the third derivative of 0 + 1/40*o**6 + 0*o**4 - 6*o**2 + 0*o - 1/20*o**5 + 1/70*o**7 + 0*o**3 - 1/112*o**p. Factor t(w).
-3*w**2*(w - 1)**2*(w + 1)
Let g(y) = -y**4 + y**2 + y - 1. Let w(l) = -14*l**4 - 30*l**3 - 8*l**2 - 8*l + 8. Let a(o) = -8*g(o) - w(o). Find q such that a(q) = 0.
-15/11, 0
What is m in -17/3*m + 8/3*m**2 - 1/3*m**3 + 10/3 = 0?
1, 2, 5
Let h(y) = y - 18. Let o be h(0). Let r = 20 + o. Determine v, given that v**2 - v**r - 16*v**3 + 13*v**3 = 0.
0
Let x(y) = 18*y**2 + 136*y - 2297. Let g(j) = 7*j**2 + 68*j - 1150. Let c(v) = -5*g(v) + 2*x(v). Find s, given that c(s) = 0.
34
Suppose 6*c - 8 = 4*c. Find z such that -10*z + c*z + 3*z - 3*z**2 + 6*z = 0.
0, 1
Factor -8 - 3 - 32*h**2 - h**4 + 10*h**3 + 11 + 32*h.
-h*(h - 4)**2*(h - 2)
Suppose -q + 14 = o - 4*q, -4 = 2*o + 2*q. Factor -5 - 6*a**2 + 16*a**o - 2*a**2 - 3*a**2.
5*(a - 1)*(a + 1)
Let x(r) = r**2 - 14*r - 18. Let v be x(15). Let n be (3 + v)/(-2 + 0). Suppose 1/6*a**2 + n + 1/3*a = 0. What is a?
-2, 0
Let t(h) be the second derivative of -h**8/8960 + h**7/10080 + h**6/960 - h**5/480 + h**4/4 + 15*h. Let r(v) be the third derivative of t(v). Factor r(l).
-(l - 1)*(l + 1)*(3*l - 1)/4
Let n(d) be the second derivative of d**8/20160 + d**7/2520 - 5*d**4/12 + 4*d. Let y(f) be the third derivative of n(f). Factor y(s).
s**2*(s + 3)/3
Let a(x) be the first derivative of 4*x**3/3 + 36*x**2 - 76*x + 305. Factor a(y).
4*(y - 1)*(y + 19)
Suppose -6*o + 2*o = -8. Suppose 6 = o*i + i. Let -5 + 4 - i*c + 2*c**2 + 1 = 0. What is c?
0, 1
Let c be (14400/(-10500))/((-3)/10). Suppose 2/7*o**2 + 16/7*o + c = 0. What is o?
-4
Let q(g) be the second derivative of -g**10/3360 + g**9/1008 - g**8/1120 - g**4/2 - 2*g. Let j(l) be the third derivative of q(l). Factor j(a).
-3*a**3*(a - 1)*(3*a - 2)
What is y in -6*y - 2*y**2 - 4*y + 34*y = 0?
0, 12
Factor -4*s - 9*s**3 + 3*s**4 - 19*s**3 + 63*s**2 - 2*s - 12*s.
s*(s - 6)*(s - 3)*(3*s - 1)
Let s = 1036 + -1032. Let p(z) be the first derivative of 2/3*z**3 - 1/3*z**s + 8 - 1/3*z**2 + 0*z. Factor p(b).
-2*b*(b - 1)*(2*b - 1)/3
Let r = -6 + 9. What is j in -5*j**4 - 4*j**r + 9*j**2 - j + 3*j - 2*j**3 = 0?
-2, -1/5, 0, 1
Let h(r) be the second derivative of r**7/2520 - r**6/144 + r**5/20 + r**4/2 + 14*r. Let t(i) be the third derivative of h(i). Factor t(z).
(z - 3)*(z - 2)
Let j = 877 - 4384/5. Let f(p) be the second derivative of -1/10*p**5 + 0*p**2 + 0*p**3 + 0 - 7*p - j*p**6 - 2/21*p**7 + 0*p**4. Find c, given that f(c) = 0.
-1, -1/2, 0
Let k = -3020 + 6043/2. Factor -3/4*n + k - 3/4*n**2.
-3*(n - 1)*(n + 2)/4
Suppose -4*o = -i - 135, 4*i = 2*o - 919 + 309. Let u be (-4)/46 + i/(-460). Factor -c**2 + u*c + 3/4.
-(c - 1)*(4*c + 3)/4
Suppose -5*c = -7 + 2. Let m be (c/1 + -1)/1. Suppose 0*a**2 - 4*a**2 + m*a**2 - 2*a**3 - a**4 + 3*a**2 = 0. Calculate a.
-1, 0
Let o = 5369/9 + -596. Let b(q) be the first derivative of -o*q**3 + 2/3*q - 2 - 1/2*q**2. Factor b(i).
-(i + 1)*(5*i - 2)/3
Let g(x) be the second derivative of -x**4/18 - 7*x**3/3 - 20*x**2/3 - 113*x - 2. Factor g(h).
-2*(h + 1)*(h + 20)/3
Let x = -30 - -58. Suppose 3*h - 3*f + 7 = 1, 5*f = -4*h + x. Factor -s + 2*s**2 + h*s + s - 4.
2*(s - 1)*(s + 2)
Let z(r) = -8*r**2 - 13*r - 1. Let k(l) = -3*l - 50. Let c be k(-13). Let j(y) = -23*y**2 - 37*y - 3. Let i(t) = c*z(t) + 4*j(t). Factor i(n).
-(n + 1)*(4*n + 1)
Let k(a) be the second derivative of a**5/100 + a**4/15 - a**3/10 - 9*a**2/5 + 4*a - 1. Factor k(w).
(w - 2)*(w + 3)**2/5
Let f(p) = 4*p - 16. Let r be f(5). Let h(z) be the first derivative of 16/11*z**2 - 32/11*z + 2/55*z**5 + 0*z**3 - 2/11*z**r - 1. Factor h(m).
2*(m - 2)**3*(m + 2)/11
Let z = 20903/9 + -2319. Factor -z - 2*g**2 + 16/3*g + 2/9*g**3.
2*(g - 4)**2*(g - 1)/9
Let z(l) be the third derivative of l**7/525 + l**6/75 + l**5/30 + l**4/30 - 365*l**2. Factor z(n).
2*n*(n + 1)**2*(n + 2)/5
Let b(y) be the first derivative of 3*y**5/5 + 3*y**4/4 - 6*y**3 - 122. Factor b(k).
3*k**2*(k - 2)*(k + 3)
Let t be (-1377)/63 - (-52 - -30). What is v in -t*v**2 + 1/7 + 0*v = 0?
-1, 1
Let p = -2049 + 6149/3. Let t(z) be the third derivative of -p*z**4 + 0 + 22/15*z**5 - 11*z**2 + 27/35*z**7 - 3/2*z**6 + 0*z**3 + 0*z - 9/56*z**8. Factor t(q).
-2*q*(q - 1)*(3*q - 2)**3
Let a = -30 + 34. Factor 3*t**5 - 6*t**2 + 9*t + 6*t**a - 1 + 0 - 12*t**3 + 1.
3*t*(t - 1)**2*(t + 1)*(t + 3)
Let a = 1008 - 1008. Let o(z) be the first derivative of a*z**2 - 7 - 2/27*z**3 + 2/9*z. Determine w, given that o(w) = 0.
-1, 1
Let c be (-14)/21*(-2)/4*3. Let b be (c - (-33)/12) + 2/(-8). Determine s, given that -s + b*s**2 + 0 = 0.
0, 2/7
Factor -30/7*f + 18/7*f**2 - 2/7*f**3 - 50/7.
-2*(f - 5)**2*(f + 1)/7
Let k(q) be the first derivative of -q**6/90 - q**5/30 + q**3/9 + q**2/6 - q + 5. Let s(v) be the first derivative of k(v). Factor s(z).
-(z - 1)*(z + 1)**3/3
Factor 2*h**3 - 5*h**2 - 6*h + 13*h**4 + 22*h**4 + 2*h**2 - 32*h**4 + 4*h**3.
3*h*(h - 1)*(h + 1)*(h + 2)
Let b = 65 - 49. Factor 13*n**3 - 28*n - 18*n**3 - 8*n**2 + 9*n**3 - b.
4*(n - 4)*(n + 1)**2
Let f(t) be the first derivative of -t**5/600 - t**4/120 - t**3/60 - 18*t**2 + 34. Let g(c) be the second derivative of f(c). Factor g(k).
-(k + 1)**2/10
Let 0 - 1/2*v**3 - 3/2*v**2 - v = 0. What is v?
-2, -1, 0
Let s(f) be the second derivative of -f**4/4 + f**3 + 9*f**2/2 - 429*f. Factor s(y).
-3*(y - 3)*(y + 1)
Let w = -392 + 226. Let r = -163 - w. Let 3*m**2 + 0 - 1/4*m**r - 3/4*m**4 + m = 0. Calculate m.
-2, -1/3, 0, 2
Let s(o) be the third derivative of o**4/24 + o**3/6 + 2*o**2. Let z be s(2). Factor -l + 44*l**2 + l - 3*l**z - 38*l**2.
-3*l**2*(l - 2)
Let 4/7*d**2 + 4/7*d**3 + 0*d + 0 = 0. What is d?
-1, 0
Let b(z) be the third derivative of -1/12*z**4 + 0*z - 1/2*z**3 - 13*z**2 + 0 - 1/180*z**5. Find g, given that b(g) = 0.
-3
Let i(a) = 4*a**5 + a**4 - 6*a**3 + 11*a**2 - 4*a + 3. Let m(f) = -9*f**5 - 2*f**4 + 11*f**3 - 22*f**2 + 8*f - 7. Let p(r) = 7*i(r) + 3*m(r). Factor p(z).
z*(z - 1)**3*(z + 4)
Solve 2*i**3 - 18*i**3 + 4*i**5 + 17*i**5 - 17*i**5 + 12*i + 8 - 8*i**2 = 0.
-1, 1, 2
Find o such that 0*o - 1/2*o**2 - o**3 - 5/8*o**4 - 