vative of -p**5 + 0*p**2 + 5/3*p**3 + 3 + 5/8*p**4 - 5/12*p**6 + 0*p. Let t(l) = 0. What is l?
-2, -1, 0, 1
Suppose 2*q = 26 + 10. Let j be 3*(-3)/(q/(-4)). Let 13*w - 13*w - w**2 - 1 - w**4 + 3*w**j = 0. What is w?
-1, 1
Let h(b) = -b**2 + 2*b - 8. Let y be h(4). Let q be -2*(-1 - -4 - (-52)/y). Determine j, given that -1 + 3/2*j - q*j**2 = 0.
1, 2
Let k(u) be the second derivative of u**5/60 - u**4/12 + 8*u**2 + 23*u. Let r(p) be the first derivative of k(p). Solve r(c) = 0 for c.
0, 2
Let j = -21 + 43/2. Suppose 0 = -3*p + 2*a + 4, 4*a - 6 = 2*p + 2. Factor -j*y + 0*y**2 + 1/4*y**p + 1/2*y**3 - 1/4.
(y - 1)*(y + 1)**3/4
Let o be 5/(-20)*(2 + -2). Let a(y) be the second derivative of 1/8*y**4 + o*y**2 + 0 - 3/40*y**5 - 5*y - 1/20*y**6 + 1/4*y**3. Suppose a(p) = 0. Calculate p.
-1, 0, 1
Let z(d) be the first derivative of 8*d**6/3 + 12*d**5/5 - 9*d**4 + 8*d**3/3 + 258. Solve z(f) = 0.
-2, 0, 1/4, 1
Factor -52 + 113 + 55*r - r**2 + 89 + 6*r**2.
5*(r + 5)*(r + 6)
Let u(f) be the first derivative of f**6/3240 + f**5/180 - 7*f**4/216 + 11*f**3 - 20. Let g(t) be the third derivative of u(t). Factor g(j).
(j - 1)*(j + 7)/9
Let i be ((-12)/(-75))/((-2)/(-5)). Let p(c) = 7*c**2 + 177*c - 128. Let l be p(-26). Solve 4/5 - 2/5*n**l + i*n = 0 for n.
-1, 2
Suppose 8*j - 2*j = 0. Suppose 4*u + 2 - 14 = j. Factor 0*f**2 + 0 - 1/4*f**u + 0*f.
-f**3/4
Let q(b) = b**3 + 11*b**2 - 12*b + 3. Let n be q(-12). Suppose -2*m = 4*d + m + n, 5*d + m = -1. Determine p so that d + 1/2*p**2 + 0*p = 0.
0
Let l = 7 + -6. Let a = 5 - l. Find z, given that 4*z + a*z**2 - z**4 - z**4 - 3*z**3 - z**5 + 2*z**5 = 0.
-1, 0, 2
Let c(n) = 8*n**3 + 62*n**2 + 8*n - 26. Let i(p) = p**3 + 7*p**2 + p - 3. Let y = 49 + -55. Let j(l) = y*c(l) + 52*i(l). Factor j(v).
4*v*(v - 1)**2
Let q(c) = -c**2 + 2*c - 2. Let n(g) = 5*g**2 - 18*g + 6. Let d(h) = -2*n(h) - 6*q(h). Solve d(o) = 0.
0, 6
Suppose -2/17*b**3 - 6/17*b - 6/17*b**2 - 2/17 = 0. Calculate b.
-1
Suppose 20 = -12*s + 7*s. Let y be 21/15 + 2/(s + 2). What is b in -2/5*b**4 + 0 - 2/5*b + 2/5*b**3 + y*b**2 = 0?
-1, 0, 1
Let b(s) = -6*s**2 + 8*s + 6 + 5*s**2 - 1. Let i be b(8). Solve -3*n**5 - n**5 + 9*n**5 - i*n - 10*n**2 + 10*n**4 = 0 for n.
-1, 0, 1
Let j(y) be the third derivative of 0*y - 1/420*y**7 + 25*y**2 - 1/12*y**3 - 1/60*y**6 - 1/20*y**5 - 1/12*y**4 + 0. Let j(a) = 0. Calculate a.
-1
Let k(v) be the third derivative of v**8/6720 - v**7/210 - v**5/10 - v**4/8 - 34*v**2. Let r(n) be the third derivative of k(n). Let r(l) = 0. Calculate l.
0, 8
Let j(c) be the second derivative of c**9/11340 + c**8/840 + c**7/210 + 5*c**4/6 - 16*c. Let s(n) be the third derivative of j(n). Factor s(m).
4*m**2*(m + 3)**2/3
What is g in 179*g**2 + 7 + 4*g**4 + 64*g**3 - 64*g - 174 + 25*g**2 - 25 - 16*g**2 = 0?
-12, -4, -1, 1
Let u(s) be the third derivative of 0*s**3 + 0*s + 0*s**4 - 37*s**2 + 0 - 1/140*s**7 + 3/40*s**5 - 1/40*s**6. Find b, given that u(b) = 0.
-3, 0, 1
Let c be 624/273 - (-10)/(-35). Factor 0*y + 4*y**3 + 1/4*y**5 + c*y**4 + 0 + 0*y**2.
y**3*(y + 4)**2/4
Suppose 4*k - 4511 + 4500 = -y, -3*k + 5*y = 9. Let b be (-1)/1 + 14/10. Factor 0*d**k + 0 + 2/5*d**3 - b*d.
2*d*(d - 1)*(d + 1)/5
Let l(u) be the third derivative of 5*u**8/336 - u**7/14 - 3*u**6/8 + 9*u**5/4 - 20*u**2 + 1. Suppose l(g) = 0. What is g?
-3, 0, 3
Let r(n) be the first derivative of 2*n**6/15 - n**5/5 - 13*n - 6. Let m(o) be the first derivative of r(o). Find l such that m(l) = 0.
0, 1
Let g(a) = a**3 - 22*a**2 + 40*a - 4. Let x(p) = 7*p**3 - 133*p**2 + 238*p - 26. Let d(i) = -39*g(i) + 6*x(i). Factor d(b).
3*b*(b - 2)*(b + 22)
Let x(u) be the second derivative of 15*u - 11/3*u**4 + 0 - 16*u**3 + 72*u**2 - 1/5*u**5. Factor x(d).
-4*(d - 1)*(d + 6)**2
Let l(x) be the second derivative of -x**8/1120 - x**7/1260 + x**6/120 + x**5/60 + 5*x**4/4 + 9*x. Let o(u) be the third derivative of l(u). Factor o(w).
-2*(w - 1)*(w + 1)*(3*w + 1)
Let a(q) be the second derivative of 1/2*q**2 + 1/390*q**5 + 0*q**4 - 1/39*q**3 - 3*q + 0. Let t(c) be the first derivative of a(c). Let t(x) = 0. What is x?
-1, 1
Let x(z) = z**3 + 3*z**2 + 2*z + 3. Let y be x(-2). Let l = 355 + -352. Let 4 - 6 - s**l + y*s + 0 = 0. What is s?
-2, 1
Let o(i) be the third derivative of -i**5/45 + 11*i**4/18 + 52*i**3/9 + 187*i**2. Determine c, given that o(c) = 0.
-2, 13
Let z(c) be the first derivative of -5*c**3/3 + 5*c**2/2 + 67. Determine a so that z(a) = 0.
0, 1
Let m(l) be the second derivative of 0*l**2 + 0 + 17*l - 3/14*l**3 - 1/28*l**4. Factor m(x).
-3*x*(x + 3)/7
Solve -4 + 13/3*b + 4/3*b**2 = 0 for b.
-4, 3/4
Let t = 22 + -36. Let n be 544/154 + -2 - t/49. Solve 20/11*c**3 + 10/11*c**4 + 2/11*c**5 + n*c**2 + 2/11 + 10/11*c = 0.
-1
Factor 266*y**2 - 3*y**3 - 238*y**2 - 6 + 14 - 33*y.
-(y - 8)*(y - 1)*(3*y - 1)
Let w(g) be the second derivative of 13*g + 1/12*g**4 + 2/3*g**3 + 0 + 0*g**2. Factor w(i).
i*(i + 4)
Factor 2360*q + 13 - 2356*q - 5 - 8*q**2 - 4*q**3.
-4*(q - 1)*(q + 1)*(q + 2)
Suppose -4*d - 2*b - 267 + 275 = 0, 2*b = 3*d - 20. Find o such that 0 - 2/9*o - 2/9*o**d + 2/9*o**2 + 2/9*o**3 = 0.
-1, 0, 1
Let v(t) = 7*t**4 + 15*t**3 + 15*t**2 - 19*t + 6. Let o(j) be the first derivative of j**5/5 + j**4/4 + j**2/2 + j + 5. Let s(p) = 6*o(p) - v(p). Factor s(a).
-a*(a - 1)*(a + 5)**2
Let w(m) be the third derivative of 0*m - m**2 + 0*m**4 + 1/15*m**3 - 1/150*m**5 + 0. Solve w(k) = 0.
-1, 1
Let q(o) be the second derivative of 0*o**4 + 8*o + 0*o**3 + 0 - 1/2*o**2 - 1/210*o**5. Let i(y) be the first derivative of q(y). Factor i(f).
-2*f**2/7
Let z = -31 + 40. Let b(c) = -c - 1. Let v be b(-5). Factor -n + v*n + z*n**4 - 5*n**2 - 4*n**2 - 4*n**3 + n**3.
3*n*(n - 1)*(n + 1)*(3*n - 1)
Let f(u) be the first derivative of 35*u**3/3 + 70*u**2 + 125*u + 18. Let m(h) = -5*h**2 - 20*h - 18. Let g(w) = 3*f(w) + 20*m(w). Factor g(s).
5*(s + 1)*(s + 3)
Let u(t) = t**3 - 9*t**2 - 8*t - 20. Let c be (60/50)/((-12)/(-100)). Let g be u(c). Factor g*d - 3/2 + 3/2*d**2.
3*(d - 1)*(d + 1)/2
Let o(g) = 17*g**3 - 10*g**2 - 25*g**3 - 2*g**4 - 2*g**4. Let z(k) = 8*k**4 + 16*k**3 + 21*k**2. Let s(d) = -13*o(d) - 6*z(d). Factor s(w).
4*w**2*(w + 1)**2
Let g(q) be the second derivative of q**4/96 - q**3/48 - 14*q - 2. Factor g(o).
o*(o - 1)/8
Find y such that 0 + 1/2*y**3 + 3/2*y**2 + 0*y = 0.
-3, 0
Suppose -k - 34 = 4*w, 6*w = 2*k + 3*w + 24. Let l be ((-10)/k)/((-20)/(-24)). Factor 4/9 + 2/9*g**2 - l*g.
2*(g - 2)*(g - 1)/9
Let v = 28 - 24. Determine q, given that 5*q**5 + 3*q**3 + 7*q**3 + 2*q**v + q**4 - 18*q**4 = 0.
0, 1, 2
Let m(n) = 6*n**2 - 31*n - 26. Let q = 82 - 47. Let r = -24 + q. Let t(z) = z**2 - 6*z - 5. Let h(o) = r*t(o) - 2*m(o). Find k such that h(k) = 0.
-3, -1
Let f(v) be the second derivative of 0*v**2 + 16*v + 0 - 5/6*v**3 - 25/12*v**4. Suppose f(o) = 0. Calculate o.
-1/5, 0
Factor r**2 + 0*r + 1/6*r**3 + 0.
r**2*(r + 6)/6
Let n(r) be the second derivative of -25*r + 1/4*r**4 - 3/2*r**2 + 0*r**3 + 0. Find k such that n(k) = 0.
-1, 1
Let k(y) be the third derivative of 0 - y**2 - 3/40*y**6 + 16/3*y**4 - 29/20*y**5 - 22/3*y**3 - 15*y. Factor k(c).
-(c + 11)*(3*c - 2)**2
Suppose -41*j + 36*j = -10. Factor 22*o**j - 4*o - o + 5*o**3 - 5*o**4 - 9*o**2 - 8*o**2.
-5*o*(o - 1)**2*(o + 1)
Let o be 1/(14/672*8*(-1 + 4)). Factor -2/11*t + 2/11*t**o - 12/11.
2*(t - 3)*(t + 2)/11
Let m(l) be the second derivative of -l**5/80 - 5*l**4/24 + 13*l**3/6 - 7*l**2 + 24*l + 2. Factor m(u).
-(u - 2)**2*(u + 14)/4
Factor -658 + 3158 + 8*z**2 - 9*z**2 + 200*z + 5*z**2.
4*(z + 25)**2
Let z(a) be the first derivative of -a**3 + 3*a**2 + 9*a + 8. Factor z(k).
-3*(k - 3)*(k + 1)
Factor -4 + 22/3*u**2 + 38/3*u.
2*(u + 2)*(11*u - 3)/3
Let o(y) be the third derivative of -2/45*y**5 + 0 + 0*y**3 + 0*y + 1/90*y**6 + 0*y**4 - 49*y**2. Factor o(p).
4*p**2*(p - 2)/3
Let z(x) be the second derivative of -x**7/14 + 13*x**6/5 + 33*x**5/4 + 7*x**4 - 2*x - 171. Factor z(w).
-3*w**2*(w - 28)*(w + 1)**2
Let c(u) be the first derivative of -3*u**5/10 + 3*u**4/2 + 5*u**3/2 - 784. Let c(w) = 0. What is w?
-1, 0, 5
Let -27/2*j - 195/4 - 3/4*j**2 = 0. Calculate j.
-13, -5
Let h(j) be the third derivative of -5*j**8/336 - 11*j**7/30 - 23*j**6/8 - 371*j**5/60 - 49*j**4/12 + 11*j**2. Determine y, given that h(y) = 0.
-7, -1, -2/5, 0
Let f(d)