erivative of -2*p**5/75 - p**4/30 + 2*p**3/15 + 10*p**2 - 5. Let n(i) be the second derivative of j(i). Let n(z) = 0. What is z?
-1, 1/2
Let t(p) = -p - 1. Let i(u) = -u - 1. Let w(l) = -4*i(l) + 5*t(l). Let f be w(-1). Solve f*k - k**4 - 2*k**3 + 0*k - k**2 = 0.
-1, 0
Let b = -23/2058738 - 4286232371/5383599870. Let s = 2/523 - b. Factor -s*j**2 - 2/5*j**3 - 2/5*j + 0.
-2*j*(j + 1)**2/5
Let -39 + 5*f**3 - 10*f**2 - 49 + 88 + 5*f**4 = 0. What is f?
-2, 0, 1
Let b be 40/(-12)*(-9)/39. Let o = 93/104 - b. Factor -6*p + 3/2*p**2 + 8 - o*p**3.
-(p - 4)**3/8
Let v(j) be the first derivative of 2/9*j**3 - 11 + 1/18*j**4 - 9*j + 0*j**2. Let b(t) be the first derivative of v(t). Factor b(h).
2*h*(h + 2)/3
Let d(w) be the third derivative of 0 + 13/60*w**6 + 1/3*w**4 + 1/168*w**8 + 0*w + 6*w**2 + 2/5*w**5 + 2/35*w**7 + 0*w**3. Factor d(p).
2*p*(p + 1)**2*(p + 2)**2
Let d(o) = -o**5 + 5 - 2*o**2 - 9*o**4 - 5*o**3 + 0*o**2 + 0*o - 5*o. Let y(c) = c**4 + c - 1. Let r(q) = d(q) + 5*y(q). Suppose r(f) = 0. Calculate f.
-2, -1, 0
Let r = 1678 + -1678. Factor 6/5*b**2 + 2/5*b**4 + 6/5*b**3 + r + 2/5*b.
2*b*(b + 1)**3/5
Suppose -2*u + 6 = 34. Let t be 4/u*(-14 + 0). Suppose -3*y**3 - 2*y + y**3 + t*y = 0. Calculate y.
-1, 0, 1
Let x(d) = -d**3 - 3*d**2 - 5*d - 2. Let s be x(-3). Suppose 4*z - s = -5*p, -4*z - 2 + 5 = -5*p. Find j such that 4 + 2*j**2 + 9*j - 5*j + z*j = 0.
-2, -1
Suppose 0 = -20*k + 6*k + 12 + 16. Let k - 4/3*o - 2/3*o**2 = 0. What is o?
-3, 1
Let h(r) be the first derivative of 2*r**3/51 - 2*r**2/17 - 96*r/17 + 178. Factor h(j).
2*(j - 8)*(j + 6)/17
Let l be (-24)/(-1133)*68/6. Let t = l + -6/103. Let -2/11 - t*c**2 - 4/11*c = 0. What is c?
-1
Determine m so that 0 - m**2 - 4/5*m**3 - 2/5*m - 1/5*m**4 = 0.
-2, -1, 0
Let t be (-765)/252*(-80)/25. Solve -16/7*l**4 - t*l**3 + 160/7*l**2 - 52/7*l - 24/7 = 0 for l.
-6, -1/4, 1
Let i(v) = 135*v + 1622. Let w be i(-12). Find y, given that -102/5*y - 36/5 - 14/5*y**3 + 16*y**w = 0.
-2/7, 3
Let x(o) = -2*o**2 - 5*o + 3. Let y(m) = -2*m**2 - 4*m + 2. Let i(d) = -2*x(d) + 3*y(d). Let j(t) = -t**2 - t. Let q(v) = 4*i(v) - 5*j(v). Factor q(c).
-3*c*(c + 1)
Factor 0 - 3/7*q**4 + 0*q + 0*q**2 + 6/7*q**3.
-3*q**3*(q - 2)/7
Let n = 166 + -164. Let o(h) be the second derivative of 6*h + 0 + 1/18*h**3 + 0*h**n - 1/60*h**5 + 0*h**4. Factor o(l).
-l*(l - 1)*(l + 1)/3
Let n be (12/16)/((-2)/(-8)). Let x be (-1)/((-6)/n)*4. Let 14*u + 6*u - 3*u**4 - 8*u + 12*u**3 - 18*u**x - 3 = 0. Calculate u.
1
Let m = 0 - -4. Suppose 5*b + 1 = -4*t + 61, -5*t + m*b + 34 = 0. Solve -4 - 5 + 0 - 6*y + 5 + t*y**2 = 0.
-2/5, 1
Suppose 5*w - 11*o = -6*o - 50, 5*w + 20 = -5*o. Let z = w + 9. Factor 27/8 + 9/4*j + 3/8*j**z.
3*(j + 3)**2/8
Let a = 167 + -167. Suppose -8/17*l - 2/17*l**5 - 4/17*l**4 + 8/17*l**2 + 6/17*l**3 + a = 0. What is l?
-2, 0, 1
Suppose 3*r = 5*t - r - 1106, -4*t + 883 = -5*r. Let 224*n**2 - 8*n**3 + 3*n**4 + n**3 - t*n**2 = 0. Calculate n.
0, 1/3, 2
Let b(n) be the third derivative of -n**6/480 - n**5/240 + n**4/12 + n**3/2 + 75*n**2. Let b(o) = 0. What is o?
-2, 3
Let n(p) = -2*p**3 - p**2 - p - 1. Let o(u) = 14*u**3 + 6*u**2 - 2*u + 6. Let d(r) = -6*n(r) - o(r). Factor d(x).
-2*x*(x - 2)*(x + 2)
Solve -m**4 + 24*m**3 + 36*m - 2*m**4 + 3*m**3 + 32*m**2 - 92*m**2 = 0 for m.
0, 1, 2, 6
Let p(f) be the third derivative of -f**7/1575 - f**6/300 + f**5/150 + 11*f**4/180 + 2*f**3/15 + f**2 + 46*f. Find s such that p(s) = 0.
-3, -1, 2
Let c(g) = -g**4 - g**3 - g**2 + g - 2. Let r(l) = l**4 + 7*l**3 - 137*l**2 + 233*l - 112. Let z(q) = -2*c(q) + r(q). Factor z(n).
3*(n - 4)*(n - 1)**2*(n + 9)
Let m(p) be the third derivative of -p**6/480 - p**5/24 - p**4/8 + 3*p**3 - 85*p**2 - 2. Find w, given that m(w) = 0.
-6, 2
Let f be (3337/(-564) - (-1 - 5))*6. Factor f*r**3 - r**2 + 0*r + 0.
r**2*(r - 2)/2
Let a(i) = -318*i + 4134. Let g be a(13). Factor -9/4*c**4 + g*c**2 + 0 + 0*c + c**5 + 1/2*c**3.
c**3*(c - 2)*(4*c - 1)/4
Let q = 419 - 414. Factor -8/3*x + 1/3*x**4 - 4/3 - 1/3*x**2 + 5/3*x**3 - 1/3*x**q.
-(x - 2)**2*(x + 1)**3/3
Let x(u) = u. Let d(j) be the third derivative of j**5/60 + j**4/6 - 2*j**2. Let i(v) = 2*d(v) - 10*x(v). Factor i(f).
2*f*(f - 1)
Suppose -5*n = -2*f + 106, -2*n - n - 12 = 0. Solve f + 8*p - 43 + 12*p**2 + 4*p**3 = 0 for p.
-2, -1, 0
What is u in 5*u**2 - 4 - 3/2*u**3 - 2*u = 0?
-2/3, 2
Let s(y) = 2*y**4 + 16*y**3 + 10*y**2 - 12*y - 10. Let u(k) = 8*k**4 + 65*k**3 + 40*k**2 - 47*k - 39. Let x(m) = 18*s(m) - 4*u(m). Find g such that x(g) = 0.
-6, -1, 1
Let x be ((-16)/(-2))/((-2)/9*-3). Let f be (x/3 - 3)/((-5)/(-2)). Factor -2/5 - 4/5*n - f*n**2.
-2*(n + 1)**2/5
Let k = 1 - 1. Let w(z) = -z**3 - 54*z**2 - 158*z - 252. Let s be w(-51). Factor 0 - 2/5*o**5 - 2/5*o**4 + 0*o**2 + k*o + 0*o**s.
-2*o**4*(o + 1)/5
Let z(h) be the second derivative of h**5/110 - 91*h**4/22 + 6256*h**3/11 - 18496*h**2/11 - h - 16. Factor z(b).
2*(b - 136)**2*(b - 1)/11
Let w(d) be the first derivative of d**5/10 - 13*d**4/8 + 11*d**3/2 + 77*d**2/4 - 49*d - 50. Solve w(c) = 0.
-2, 1, 7
Let q = -557/1092 + 15/28. Let p(s) be the third derivative of -1/39*s**3 - 2/195*s**5 + 0*s + 0 + q*s**4 - 4*s**2. Factor p(c).
-2*(2*c - 1)**2/13
Suppose 5*g - 22 = 3*t - 4, 2*g = 3*t. Find x, given that t*x**4 + 26/3*x**3 + 0 + 4/3*x + 6*x**2 = 0.
-1, -2/3, -1/2, 0
Let c be (-4)/(-10) + 162/45. Suppose -2*r + 0 + c = 0. Factor -2*s**r + s + s - 2 - 2*s**3 + 4.
-2*(s - 1)*(s + 1)**2
Suppose 5*z - 20 + 5 = 0. Let j(c) be the first derivative of -5 + 0*c**2 + 0*c - 1/16*c**4 + 1/12*c**z. Factor j(d).
-d**2*(d - 1)/4
Let o be (-2)/40*-14*4. Let v be -5 - -9*(-76)/(-60). Factor -o*w**3 - 8/5 - 2*w**2 + v*w.
-2*(w - 1)*(w + 2)*(7*w - 2)/5
Suppose -2*a + 2 - 10 = 0, 2*o - 4*a + 2 = 0. Let f be (o/(-15))/((-32)/(-20)). Factor -1/4*c + f - 1/8*c**2.
-(c - 1)*(c + 3)/8
Factor 4*c**5 - 26509*c - 224*c**4 - 927*c - 13104*c**2 - 10000*c**2 + 4104*c**3.
4*c*(c - 19)**3*(c + 1)
Let h be 2/(-5) + 52/(-15)*-78. What is x in 4*x**3 + 417 + 5*x**4 + 372*x + h*x**2 + 56*x**3 - 12 + 168*x = 0?
-3
Let q = -116402/5 - -23281. Suppose -q*o**2 - 12/5 - 12/5*o = 0. Calculate o.
-2
Let s(d) be the first derivative of 2*d**7/105 - d**6/30 - d**5/15 + d**4/6 + 9*d**2/2 - 10. Let u(r) be the second derivative of s(r). Factor u(y).
4*y*(y - 1)**2*(y + 1)
Let g(q) be the third derivative of q**7/3780 - 7*q**6/2160 - q**5/90 + 13*q**4/24 + 25*q**2. Let k(a) be the second derivative of g(a). Factor k(s).
(s - 4)*(2*s + 1)/3
Solve -5*a**3 - 55*a - 30 - 2*a**2 - 28*a**2 + 0*a**2 + 0*a**3 = 0.
-3, -2, -1
Let b = -3/5684 + 11383/28420. Factor 8/5 - 8/5*n**2 + b*n - 2/5*n**3.
-2*(n - 1)*(n + 1)*(n + 4)/5
Factor 0*j**2 - 3*j**2 + 3*j - 2731*j**4 + 2734*j**4 - 3*j**3.
3*j*(j - 1)**2*(j + 1)
Let k = 135451 + -37790911/279. Let o = k + 16/31. Factor 0 - o*j**2 + 2/9*j.
-2*j*(j - 1)/9
Suppose 0*f + 3*q - 22 = -4*f, -12 = -2*f - 2*q. Suppose 0 = 3*u + 2*k, -3*k = -f*u + 2*u + 13. Factor -2*s + 0*s**u + 4/3 + 2/3*s**3.
2*(s - 1)**2*(s + 2)/3
Let f(y) be the first derivative of 7*y**4/18 + 44*y**3/3 - 49*y**2/3 - 116*y/9 - 274. Solve f(w) = 0.
-29, -2/7, 1
Let p be (2/(-2))/((42/(-18))/7). Factor 39*h**2 + 37*h**p + 8*h**3 + 2*h**5 + 12*h + 2*h**5 + 21*h**4 - h**5.
3*h*(h + 1)**3*(h + 4)
Let d(t) = 19*t**2 - 38*t. Let x(f) = -2*f**2 + 2*f. Let q(j) = 4*d(j) + 44*x(j). Factor q(o).
-4*o*(3*o + 16)
Let x(s) be the second derivative of -s**4/3 + 2*s**3/3 + 12*s**2 - 44*s. Suppose x(n) = 0. What is n?
-2, 3
Let r be 15/12 - ((-2)/(-8))/(22/110). What is y in 128/7*y**2 - 12*y**3 + 22/7*y**4 - 64/7*y + r - 2/7*y**5 = 0?
0, 1, 2, 4
Let n(o) be the third derivative of -o**7/1680 - 7*o**6/960 - o**5/32 - 13*o**4/192 - o**3/12 + 2*o**2 + 376. Suppose n(g) = 0. What is g?
-4, -1
Let v(h) be the second derivative of -h**6/120 + h**5/20 - 2*h**3/3 + 14*h**2 + 57*h. Let n(x) be the first derivative of v(x). Factor n(j).
-(j - 2)**2*(j + 1)
Suppose -2*r - 50 = 2*q, 2*r + 0*r + 5*q = -38. Let x = -29 - r. Factor -2/3*w**2 + x - 1/3*w**3 - 1/3*w.
-w*(w + 1)**2/3
Suppose 3*k - 14 + 2 = 0. Factor 0 - 3 + k*z**2 - 1.
4*(z - 1)*(z + 1)
Let j(h) be the second derivative of -8*h**6/135 + 113*h**5/45 - 17*h**4/18 - 139*h**3/27 - 28*h**2/9 - 43*h + 1. Determine w, given that j(w) = 0.
-1/2, -1/4, 1, 28
Let 