w + 28/11*w**3 + n*w**5 + 4/11 + 12/11*w**4 = 0. What is w?
-2, -1
Let a(x) be the third derivative of x**8/32760 + 11*x**7/32760 - x**6/1560 - x**5/5 - 9*x**2. Let o(m) be the third derivative of a(m). Factor o(j).
2*(j + 3)*(4*j - 1)/13
Let l(d) be the third derivative of 13*d**7/70 - 27*d**6/40 + d**5/10 + 10*d**2 - 33. Solve l(n) = 0.
0, 1/13, 2
Let a be ((-2)/(-4))/(17 + 1 - 3). Let m(b) be the first derivative of 1/5*b**5 + a*b**6 + 1/2*b**4 + 2 + 1/2*b**2 + 2/3*b**3 + 1/5*b. Factor m(k).
(k + 1)**5/5
Let x(l) = -l**3 - 8*l**2 - 9*l - 9. Let o be x(-7). Suppose 11*c**2 + 12*c**4 - c**2 - 22*c**4 - 2*c**5 - 5*c + 7*c**o = 0. What is c?
-1, 0, 1
Let u = 11 + 8. Factor 0*n**2 + 16*n - u*n**2 + 16*n**3 - 13*n**2 - 4*n**3.
4*n*(n - 2)*(3*n - 2)
Let o be 574/(-41)*(-6)/21. Let f(h) be the second derivative of 1/10*h**5 + 0*h**o + 0 - 1/21*h**7 + 0*h**2 + 7*h + 0*h**6 + 0*h**3. Let f(k) = 0. Calculate k.
-1, 0, 1
Determine a so that -8697 - 30*a**2 + 8697 + 5*a**5 - 5*a**3 + 30*a**4 = 0.
-6, -1, 0, 1
Let w(l) be the third derivative of l**8/112 + l**7/7 - 3*l**6/40 - 7*l**5/5 + 5*l**4/2 + 262*l**2 + l. Let w(i) = 0. What is i?
-10, -2, 0, 1
Let r(l) be the first derivative of 6 + 1/2*l**2 + 0*l - 1/150*l**6 - 1/120*l**4 - 1/75*l**5 + 0*l**3. Let o(n) be the second derivative of r(n). Factor o(u).
-u*(2*u + 1)**2/5
Let z(y) = y**2 + 2*y - 6. Let q be z(3). Solve -5 + 10*r**5 - q*r**4 + 20*r**4 - 13*r + 40*r**3 + 10*r**2 + 3*r + 24*r**4 = 0.
-1, 1/2
Suppose 2*x - 21 = -x + 4*c, c - 6 = -3*x. Let z be x + -1 + (-8)/(-32). Let -11/4*s**3 + z*s**4 - 1/2 + 11/4*s - 7/4*s**2 = 0. What is s?
-1, 2/9, 1
Let l(k) be the second derivative of -k**7/70 - k**6/40 + 3*k**5/20 + k**4/8 - k**3 - k**2/2 - 2*k. Let v(h) be the first derivative of l(h). Factor v(g).
-3*(g - 1)**2*(g + 1)*(g + 2)
Let b(j) be the first derivative of 4/11*j**2 - 6 + 10/11*j - 2/33*j**3. Find w such that b(w) = 0.
-1, 5
Let f(s) be the third derivative of -6889*s**5/60 - 83*s**4/6 - 2*s**3/3 - 3*s**2 + 1. Suppose f(x) = 0. What is x?
-2/83
Let v(n) = 6*n**2 - n. Let d be v(1). Let y be 121/(-55) + 0 + 1 + 2. Suppose -y*i + 2/5*i**4 - 2/5*i**d - 2/5*i**2 + 6/5*i**3 + 0 = 0. What is i?
-1, 0, 1, 2
Let b = -2 - 4. Let z(l) = -l**2 + 4 - 2 - 2. Let h(k) = 2*k**3 - 6*k**2. Let a(f) = b*z(f) + h(f). Factor a(v).
2*v**3
Solve 21*z - 74*z + 26*z - z**2 + 29*z = 0.
0, 2
Let j(l) = -l**3 + 12*l**2 + 13*l + 2. Let r be j(13). Determine a, given that -19 - 5*a**r + 7 + 32 = 0.
-2, 2
Let f(r) be the first derivative of -21 - 6*r**4 + 7*r**4 + 5. Let f(g) = 0. Calculate g.
0
Let s be (-180)/42 + 4 - 279/(-21). Factor 2 + 9*u - s*u + 2*u**2 + 0*u.
2*(u - 1)**2
Let d(k) be the third derivative of k**7/3360 + k**6/480 - k**4/24 + 2*k**3/3 - 11*k**2. Let n(x) be the first derivative of d(x). Factor n(j).
(j - 1)*(j + 2)**2/4
Factor -2*d + 4*d - 4*d**2 + 3*d**3 - d**3 - 4*d**3 + 4.
-2*(d - 1)*(d + 1)*(d + 2)
Let v(m) be the second derivative of m**4/6 - m**3 + 2*m**2 - 166*m + 1. Factor v(j).
2*(j - 2)*(j - 1)
Let u be 24/11 + 46/(-253). Suppose -8 = 3*l + 2*r - 6, u*l = -r. Determine a so that -16/7*a - 2/7*a**l - 32/7 = 0.
-4
Let l(s) = 2*s**3 - 10*s**2 + 2. Let x be l(5). Suppose -3 + 6*r**2 - 18*r**2 + 2*r + 13*r**x = 0. What is r?
-3, 1
Let y be (34/7)/(45/(-35)). Let k = y - -4. Suppose -2/3*x**4 + 4/9*x**3 + 2/9*x**5 + k + 4/9*x**2 - 2/3*x = 0. Calculate x.
-1, 1
Let g(d) be the third derivative of -d**7/16380 + d**6/2340 - 7*d**4/6 + 3*d**2. Let n(k) be the second derivative of g(k). Factor n(q).
-2*q*(q - 2)/13
Let g be ((-175)/(-14) + 0)*(-4)/5. Let u be (12 + g)/(5/2). Factor 8/5*v**2 + 4/5*v + u*v**3 + 0.
4*v*(v + 1)**2/5
Let p(w) be the third derivative of -w**8/84 - 16*w**7/105 - 13*w**6/30 + 22*w**5/15 + 16*w**4/3 - 64*w**3/3 - w**2 - 17*w. Suppose p(x) = 0. Calculate x.
-4, -2, 1
Let p(k) = 2*k**2 - 20*k - 17. Let w be p(11). Find t such that 55 - 15 + 51*t**2 - 334*t**3 - 28 + 147*t**w - 63*t**4 + 115*t**3 + 72*t = 0.
-1, -2/7, 1
Let d(p) = 20*p + 60. Let u be d(8). Let y = u + -1978/9. Factor -16/9*w + 32/9 + y*w**2.
2*(w - 4)**2/9
Let u be (6 - 8) + -6*2/(-3). Determine z so that 0*z**u + 2*z**3 - 4*z**3 - z**2 - z**4 = 0.
-1, 0
Let o(f) be the third derivative of f**5/40 + 7*f**4/16 - f**2 - 48. Factor o(v).
3*v*(v + 7)/2
Let d(x) be the second derivative of x**6/60 + 9*x**5/40 + x**4/3 + 143*x. Determine w so that d(w) = 0.
-8, -1, 0
Let p be (((-10872654)/(-58548))/13)/(5/2). Let x = p - -1/3485. Suppose -x*s + 100/7 + 4/7*s**2 = 0. Calculate s.
5
Factor -118/9*j - 2/3 - 218/9*j**2 - 106/9*j**3.
-2*(j + 1)**2*(53*j + 3)/9
Factor 1/3*y**3 + 0 - 7/3*y**2 + 10/3*y.
y*(y - 5)*(y - 2)/3
Let x(f) be the second derivative of -f**6/90 - f**5/30 - f**4/36 + 28*f + 2. Factor x(y).
-y**2*(y + 1)**2/3
Suppose 4 + 2 = 2*i. Factor -3*v**3 - v - 15*v + 7*v**i.
4*v*(v - 2)*(v + 2)
Let j(y) be the third derivative of y**7/840 - y**6/120 + y**5/40 - y**4/24 + y**3/24 + 10*y**2 - 3*y. Suppose j(m) = 0. What is m?
1
Let h = -19 + -5. Let o be (3 + (-9)/2)/(45/h). Solve 1/5*n**2 + 4/5*n + o = 0 for n.
-2
Let l(t) be the first derivative of 3/2*t**4 + 3/5*t**5 - 1/2*t**6 + 0*t**2 + 0*t**3 + 0*t - 9. Solve l(q) = 0.
-1, 0, 2
Let m(y) be the first derivative of -2*y**5/5 - 73*y**4/2 - 1150*y**3 - 11875*y**2 + 62500*y + 206. Factor m(f).
-2*(f - 2)*(f + 25)**3
Let n(p) = -p**2 - 5*p + 2. Let y(j) = -4*j - 1. Let h be y(1). Let q be n(h). Factor q*b**4 - 70*b + 70*b.
2*b**4
Let r = -75 + 90. Suppose 7*p - r = 3*p - f, 0 = 5*p + f - 18. What is k in 8/5*k + 0*k**2 + 4/5 - 8/5*k**p - 4/5*k**4 = 0?
-1, 1
Factor 18*s + 2258*s**2 - 2253*s**2 - 58*s.
5*s*(s - 8)
Let h(c) be the first derivative of -9*c**4/16 + 37*c**3/8 - 27*c**2/4 + 15*c/8 + 101. Factor h(q).
-3*(q - 5)*(q - 1)*(6*q - 1)/8
Suppose 0 + 4/7*p**4 - 4/7*p**2 + 12/7*p - 12/7*p**3 = 0. Calculate p.
-1, 0, 1, 3
Factor 1 - 117*w**4 + 48*w**4 + 2*w**3 - 2*w + 68*w**4.
-(w - 1)**3*(w + 1)
Suppose -16 = -2*x + 6. Suppose w = -3*w - 4*n + 20, 3*w - x = -n. Solve 1 + 5/2*b + 2*b**2 + 1/2*b**w = 0.
-2, -1
Let y(u) be the third derivative of -u**10/264600 + u**9/105840 + 9*u**5/20 + 31*u**2. Let v(o) be the third derivative of y(o). Let v(k) = 0. What is k?
0, 1
Let k(f) be the first derivative of -f**5/5 + f**4 + 8*f**3/3 + 3*f + 10. Let r(b) = 4*b**3 + 8*b**2 + 4. Let h(a) = -4*k(a) + 3*r(a). Factor h(u).
4*u**2*(u - 2)*(u + 1)
Let x(n) = -n**3 - 21*n**2 + 23*n + 22. Let s be x(-22). Let -19*w - 5 - w**3 - 1 + s*w + 0 + 3*w**4 - 17*w**2 = 0. Calculate w.
-1, -2/3, 3
Let i(n) = n**2 + 6*n + 8. Let z be i(-4). Factor 6*q + 4*q**2 + z*q - 2*q**2.
2*q*(q + 3)
Let o = 40 + -48. Let z be (1*6)/((-36)/o). Find p such that -2/3*p**2 + 0 + z*p**3 - 2/3*p**4 + 0*p = 0.
0, 1
Let c(w) be the second derivative of 5*w + 1/9*w**3 + 0 + 0*w**2 + 5/9*w**4 + 5/6*w**5. Determine q, given that c(q) = 0.
-1/5, 0
Let j(b) = -2*b - 47 + 80 - 47. Let z be j(-8). Suppose 1 - 5 - 12*i + 18*i - 2*i**z = 0. What is i?
1, 2
Solve 6*m**3 + 299*m**4 - 3*m**5 - m - 3 - 2*m - 302*m**4 + 6*m**2 = 0.
-1, 1
Determine z, given that 25*z - 6*z**5 + 0*z**2 - 70*z**3 + 25*z + 15*z**2 + 13*z**5 - 15*z**4 + 13*z**5 = 0.
-5/4, -1, 0, 1, 2
Factor 2/13*y**2 + 2/13*y**3 + 0 - 4/13*y.
2*y*(y - 1)*(y + 2)/13
Let a = 27 - 5. Let m be (-276)/(-66) - 4/a. Factor -m*l**5 + 3*l + 0*l**3 + 5*l**5 + 2*l**5 - 6*l**3.
3*l*(l - 1)**2*(l + 1)**2
Let k(q) be the second derivative of 49*q**5/60 + 7*q**4/9 + 2*q**3/9 - 142*q. Factor k(t).
t*(7*t + 2)**2/3
Let v be ((-8)/(-40))/(54/45). Factor -1/2*i**2 - 1/2*i**3 + 0 - v*i - 1/6*i**4.
-i*(i + 1)**3/6
Let q(s) be the second derivative of s**5/20 - s**4/12 - 4*s**3/3 + 6*s**2 - 136*s. Solve q(c) = 0.
-3, 2
Let p be (-135)/18*2/(-10). Determine y so that p*y - 3/4*y**2 + 9/4 = 0.
-1, 3
Let g(d) = -4*d**4 + 6*d**3 - 4*d**2 + d. Let q(v) = -4 + v**2 + 3*v**2 + 4 + 5*v**4 - 7*v**3 - 2*v. Let c(o) = -6*g(o) - 5*q(o). Factor c(y).
-y*(y - 2)*(y + 1)*(y + 2)
Let f(g) = -g**3 + 13*g**2 + g - 10. Let a = 73 - 60. Let y be f(a). Factor 2/5*l - 8/5*l**y - 6/5*l**2 + 0.
-2*l*(l + 1)*(4*l - 1)/5
Let l be ((-4)/21)/((-6)/(168/4)). Factor l*m**2 - 4/3*m + 0.
4*m*(m - 1)/3
Let f(a) = -3*a - 6. Let i be f(-4). Let b = i + -3. Find x, given that x**2 - 6*x**b + 0*x**3 + 3*x**2 + 2*x*