 second derivative of d**6/10 + 3*d**5/5 + d**4/4 - 3*d**3 + 542*d. Solve p(y) = 0.
-3, -2, 0, 1
Factor 14*q**3 - 15*q + 17*q**3 - 8 + 8 + 10 - 11*q**3 - 5*q**5 - 10*q**2.
-5*(q - 1)**3*(q + 1)*(q + 2)
Factor 5*p**3 + 277*p - 90*p + 45*p**2 - 112*p - 125.
5*(p - 1)*(p + 5)**2
Let v = 22 + -20. Let f = -8509/5 + 1702. What is x in f*x**3 - 3/5 - 1/5*x + 3/5*x**v = 0?
-3, -1, 1
Let 9*l**3 - 21/2*l**4 + 0*l**2 + 3/2*l**5 + 0 + 0*l = 0. Calculate l.
0, 1, 6
Let x(s) be the second derivative of 8*s**6/15 + 17*s**5/5 - 236*s**4/3 - 808*s**3 - 576*s**2 - 294*s. Suppose x(d) = 0. Calculate d.
-6, -1/4, 8
Let q(v) = -v**3 - v**2 + v + 3. Let g(r) = 4*r**3 + 20*r**2 + 74*r + 70. Let l(n) = -g(n) - 6*q(n). Factor l(i).
2*(i - 11)*(i + 2)**2
Suppose -48 - 15 = -7*f. Suppose 12*q + f = 15*q. Determine a, given that 63/5*a**q + 87/5*a**2 + 12/5*a - 12/5 = 0.
-1, -2/3, 2/7
Let u(o) = -8*o**3 - 5*o**2 + 14*o + 11. Let q(p) = -3*p**3 - 2*p**2 + 5*p + 4. Let w(h) = 11*q(h) - 4*u(h). What is i in w(i) = 0?
-1, 0
Let w = -21 - 204. Let v = w - -683/3. Factor 0*k**2 + 0 + 0*k + 2/3*k**3 + v*k**4.
2*k**3*(4*k + 1)/3
Let q = 2 + 0. Find n such that -q*n + 0*n**3 - 4*n**3 - n**3 + 12*n**2 - 5*n**2 = 0.
0, 2/5, 1
Let c(m) be the second derivative of 3/2*m**2 - 1/56*m**7 + 3/40*m**6 + 0*m**3 + 16*m + 3/80*m**5 - 7/16*m**4 + 0. Let c(g) = 0. What is g?
-1, 1, 2
Suppose -8*u - 3 = -9*u. Let z = 839 + -835. Solve 2/13*n**5 + 0*n**2 - 4/13*n**z + 0*n + 2/13*n**u + 0 = 0.
0, 1
Let q(v) be the second derivative of 1/15*v**5 + 4*v + 4/3*v**3 + 0 - 3/2*v**2 - 1/2*v**4. Let x(i) be the first derivative of q(i). Factor x(d).
4*(d - 2)*(d - 1)
Let p(b) be the third derivative of -b**6/480 - 23*b**5/240 - 5*b**4/4 + 6*b**3 + 75*b**2. Factor p(f).
-(f - 1)*(f + 12)**2/4
Suppose -5/2*r - 1/6*r**2 - 22/3 = 0. Calculate r.
-11, -4
Let m = -352 + 359. Let c(h) be the third derivative of 0*h - 175/24*h**8 - 16/15*h**5 + h**2 - 4/3*h**4 + 8/3*h**m + 0*h**3 + 22/5*h**6 + 0. Factor c(o).
-2*o*(5*o - 2)**2*(7*o + 2)**2
Let o(z) = -6*z**3 + 274*z**2 + 108*z - 208. Let g(l) = 6*l**3 - 271*l**2 - 109*l + 210. Let d(b) = -6*g(b) - 7*o(b). Determine j so that d(j) = 0.
-1, 2/3, 49
Let p(o) = o**2 + 15*o - 1. Let y be p(-15). Let t = y + 1. Determine l so that 8/5*l + 8*l**2 + t + 18/5*l**3 = 0.
-2, -2/9, 0
Let w be (1 - -1)*1*72/9840*41. Solve 3/5*n**4 - 9/5*n**2 + 2/5 + w*n + 1/5*n**3 = 0.
-2, -1/3, 1
Let w = 7 - 27. Let c be (2/w)/(1/(-6)). Find n, given that 0*n - c*n**2 + 0 = 0.
0
Suppose 44*h = 39*h + 10. Factor -3*x**2 + 3*x**h - 2*x + 2*x**3 + x**4 - 2*x**4 + x**2.
-x*(x - 2)*(x - 1)*(x + 1)
Suppose 2*g - 7 = 1. Suppose -3*l = -g*n + 28, 5*l - l = -n - 12. What is v in -v**2 - n*v**3 + 5*v**3 - 5*v - v**2 + 2*v = 0?
-1, 0, 3
Let o(l) be the second derivative of 1/15*l**6 + 0*l**2 - 2/21*l**7 - 7/6*l**4 + 12*l + 0 + 3/5*l**5 + 2/3*l**3. Find t such that o(t) = 0.
-2, 0, 1/2, 1
Determine t, given that -3/2*t**2 - 24 + 15*t = 0.
2, 8
Let r(h) be the second derivative of 0 - 18*h - 1/21*h**4 + 0*h**2 + 10/21*h**3. Solve r(m) = 0 for m.
0, 5
Let i(k) be the second derivative of -21*k - 3/80*k**5 - 1/16*k**4 + 3/8*k**2 + 1/8*k**3 + 0. What is q in i(q) = 0?
-1, 1
Let h(n) = -n + 8. Let m be h(-8). Factor 7 + 2*i**2 + 12 - 5 + 18 + m*i.
2*(i + 4)**2
Let u(n) be the first derivative of 0*n**2 + 4/9*n**3 + 5/6*n**4 + 1/12*n**6 - 6 + 7/15*n**5 + 0*n. Factor u(j).
j**2*(j + 2)**2*(3*j + 2)/6
Suppose -2*v + 90 = -0*v. Let b be 84/v + 8/60. Let -2*m + b*m**2 + 55 - 55 = 0. Calculate m.
0, 1
Factor -65*p**3 + 30*p**2 + 45*p**3 - 13 - 20*p + 5*p**4 - 16 + 34.
5*(p - 1)**4
Let d = -14 - -16. Suppose -10*y**2 - 4*y + d*y**2 + 20*y + y**3 = 0. Calculate y.
0, 4
Let n(b) be the second derivative of 7*b + 0 + 0*b**2 + 0*b**3 + 5/6*b**4 - 1/4*b**5. Suppose n(z) = 0. Calculate z.
0, 2
Let k(l) = -4*l**4 + 16*l**3 + 48*l**2 - 24*l - 12. Let j(o) = -3*o**2 + o - 1. Let y(h) = -8*j(h) - k(h). Find v, given that y(v) = 0.
-1, 1, 5
Suppose 0 = 3*y + 5*u - 28, -2*y - u = -4*u - 25. Let r = 17 - 9. Factor 0*i**4 + r*i**3 + y*i**2 - 15*i**2 - 4*i**4.
-4*i**2*(i - 1)**2
Let f = -18 - -20. Suppose 25 + 102*d + 3*d**f - 87*d - 7 = 0. What is d?
-3, -2
Let x be (0 + 0)*(-1)/2*1. Factor -2/7*d**2 + x + 0*d + 4/7*d**3 - 2/7*d**4.
-2*d**2*(d - 1)**2/7
Let l be (5/((-15)/12))/(-2). Determine y so that y**l + 2*y**2 + 5*y**4 + 15*y**3 + 7*y**2 = 0.
-2, -1, 0
Find i, given that 0 + 123/5*i**2 - 66/5*i**3 - 12*i + 3/5*i**4 = 0.
0, 1, 20
Let -10/7*n**2 + 0 + 9/7*n + 1/7*n**3 = 0. Calculate n.
0, 1, 9
Let h(n) be the first derivative of -n**5/100 - n**4/20 - n**3/10 - 14*n**2 - 3. Let d(o) be the second derivative of h(o). Let d(x) = 0. What is x?
-1
Let w(m) be the second derivative of m**7/21 + 8*m**6/15 + 12*m**5/5 + 17*m**4/3 + 23*m**3/3 + 6*m**2 + m + 223. Factor w(u).
2*(u + 1)**3*(u + 2)*(u + 3)
Let y be -1*1 - (2 + (-126)/6). Let t be (2/y)/((-6)/(-36)). Factor 2/3*j + 4/3 - t*j**2.
-2*(j - 2)*(j + 1)/3
Let c(h) be the first derivative of -4*h**3/9 - 110*h**2/3 - 15. Factor c(l).
-4*l*(l + 55)/3
Suppose 3*h - 15 = 0, v - 3 = -4*h + 19. Find d such that -1/2 + 1/2*d - 1/2*d**3 + 1/2*d**v = 0.
-1, 1
Suppose 11*d + 4064 - 2033 - 2031 = 0. Solve 0*y - 1/4*y**4 + 3/2*y**3 - 5/4*y**2 + d = 0 for y.
0, 1, 5
Factor 8/3 - 2/3*o**3 - 16/3*o + 10/3*o**2.
-2*(o - 2)**2*(o - 1)/3
Let z be (3 + 25/(-10))*0. Suppose 0 = -j + 3*a + 8, 71*j = 73*j + 3*a + 2. Factor 2/3*f + z + 2/3*f**j.
2*f*(f + 1)/3
Let j = 1627 - 1616. Let b(z) be the first derivative of 0*z - z**2 + 1/2*z**4 + 0*z**3 - j. Solve b(a) = 0.
-1, 0, 1
Find q, given that 7 - 5/2*q - 1/2*q**2 = 0.
-7, 2
Suppose 0*v + 3*o + 13 = 4*v, 0 = -3*v + 2*o + 10. Suppose 2*t - 8 = 4*w, 4 + v = -t - 4*w. Factor 1 - 5*q**3 - 10*q**2 + t - 1.
-5*q**2*(q + 2)
Let n be (35/(-6) + 6)*(-108)/(-63). Solve -n*l**3 + 8/7*l - 8/7 + 2/7*l**2 = 0 for l.
-2, 1, 2
Let n(f) be the first derivative of -f**3/3 + 5*f**2 - 21*f - 10. Let b be n(7). Factor 3/5*w**3 + b*w + 3/5*w**2 + 0.
3*w**2*(w + 1)/5
Let l(w) be the third derivative of 0*w + 5*w**2 + 0 + 2*w**3 + 13/12*w**4 - 1/6*w**5. Let l(o) = 0. Calculate o.
-2/5, 3
Let v be (-5)/(2*(-2)/4). Let y = 2 - -1. Factor y*s**4 + s**3 - 6*s**3 - v*s**5 - 13*s**4.
-5*s**3*(s + 1)**2
Let z(n) be the first derivative of -5*n**6/24 - n**5/4 + 5*n**4/16 + 5*n**3/12 + 226. Factor z(o).
-5*o**2*(o - 1)*(o + 1)**2/4
Let r(t) be the third derivative of 3/40*t**6 + 5/336*t**8 + 0*t + 0 + 13/210*t**7 + 0*t**3 - 1/60*t**5 - 1/12*t**4 + 7*t**2. Let r(a) = 0. Calculate a.
-1, 0, 2/5
Let i be 1/(4/(-20) - 18/(-40)). Factor 8*s**4 - 21*s**2 + 22*s**2 + i*s**3 + 8*s - 21*s**2.
4*s*(s - 1)*(s + 2)*(2*s - 1)
Let b be (-7 + (1 - 1))/1. Let g be (-6)/4*(2 + b)/30. Let 0 + g*h**2 - 1/2*h + 1/4*h**3 = 0. What is h?
-2, 0, 1
Let c(n) = n**3 + 7*n**2 + 15*n + 9. Let u(v) = -v**3 - 7*v**2 - 15*v - 9. Let t = -5 + 7. Let x(q) = t*c(q) + 3*u(q). Let x(z) = 0. What is z?
-3, -1
Factor 135*u**2 - 1 + 6*u**4 - 65*u - 75*u**3 - u**4 + 1.
5*u*(u - 13)*(u - 1)**2
Suppose -4*g + 5*g - 6 = 0. Solve g*s**3 + 61*s**5 - 5*s + 2*s - 64*s**5 = 0.
-1, 0, 1
Let g = 5/44 + -47/1188. Let h(r) be the first derivative of -g*r**3 + 1 + 0*r + 1/3*r**2. Suppose h(u) = 0. Calculate u.
0, 3
What is i in -5*i**2 + 5*i - i + 2 + 3*i**2 - 2*i - 2*i**3 = 0?
-1, 1
Let f(r) = 191*r**2 - 541*r + 24. Let l(b) = -190*b**2 + 545*b - 25. Let h(g) = -5*f(g) - 6*l(g). Let h(c) = 0. What is c?
2/37, 3
Let s(y) = -17*y**5 + y**4 - y**3 - 8*y**2 - 10*y - 5. Let k(m) = -20*m**5 + m**4 - 2*m**3 - 9*m**2 - 12*m - 6. Let w(a) = -5*k(a) + 6*s(a). Factor w(t).
-t**2*(t - 1)**2*(2*t + 3)
Let w(m) = 2*m**4 + 14*m**3 - 2*m**2 - 14*m. Let x(s) = -s**3 + s. Let q(i) = w(i) + 12*x(i). What is n in q(n) = 0?
-1, 0, 1
Let p(z) be the second derivative of -5*z**4/42 - 4*z**3/7 - 4*z**2/7 - 163*z. Determine f, given that p(f) = 0.
-2, -2/5
Let c(s) = -s**3 - 6*s**2 - 3*s + 14. Let p be c(-5). Suppose -p = t - 7. Factor -20*q - 28/3*q**2 - 4/3*q**t - 12.
-4*(q + 1)*(q + 3)**2/3
Let i(n) be the second derivative of -n**2 - 4*n + 0 - 3/16*n**4 + 1/2*n**3 + 1/40*n**5. Let x(w) be the first derivative of i(w). Factor x(d).
3*(d - 2)*(d - 1)/2
Let x = 328/501 + 2/167. Let q(h) be the first derivative of 0*h - 2/5*h**5 + 0*h**2 + h**6 - 4 - 