, 6
Let -b**2 - 18 + 3*b**2 + 167084*b - 167100*b = 0. Calculate b.
-1, 9
Let d be (-15)/100*-4 + 44/10. Let n(h) be the third derivative of d*h**2 + 0*h + 0 - 1/3*h**3 + 1/6*h**4 - 1/30*h**5. Factor n(v).
-2*(v - 1)**2
Let a(y) be the first derivative of y**6/480 - y**4/32 - y**3/12 + 9*y**2 - 27. Let v(q) be the second derivative of a(q). Find f such that v(f) = 0.
-1, 2
Let y be 12/4680*55 + 3/18. Let v be ((-18)/(-15))/(3/10). Determine z so that -2/13*z**5 + 0 - 2/13*z**3 + 0*z + y*z**v + 0*z**2 = 0.
0, 1
Let f(a) be the second derivative of -2*a**2 - 3/2*a**3 - 21*a - 1/20*a**5 + 0 - 1/2*a**4. Factor f(q).
-(q + 1)**2*(q + 4)
Let k(u) be the second derivative of u**8/10080 + u**7/1260 + u**6/540 - u**4/12 - 16*u. Let v(b) be the third derivative of k(b). Let v(t) = 0. What is t?
-2, -1, 0
Let k(w) be the third derivative of w**8/16800 + 7*w**4/6 + 16*w**2. Let z(r) be the second derivative of k(r). Factor z(f).
2*f**3/5
Let p = 84 + -84. Factor 3/7*a**4 + 3/7*a**3 + 0 + p*a - 6/7*a**2.
3*a**2*(a - 1)*(a + 2)/7
Suppose r = -r + 8. Factor 9*w + 7*w + 5*w**3 - 10*w**3 - 20*w**r - 23*w**3 + 32*w**2.
-4*w*(w - 1)*(w + 2)*(5*w + 2)
Let h = 2485 + -47213/19. Factor -2/19 - h*p**2 - 4/19*p.
-2*(p + 1)**2/19
Suppose -6*t - 5 = -17. Factor 53*s - 52*s + 3*s**t - 4*s**2 + 2.
-(s - 2)*(s + 1)
Solve -4/7*d**3 + 0*d - 6/7*d**4 + 0 + 2/7*d**2 = 0 for d.
-1, 0, 1/3
Let n be (4 + -3)/(24/18). Let w(h) be the first derivative of -7/2*h**2 + 3 - n*h**4 + 8/3*h**3 + 2*h. Solve w(v) = 0 for v.
2/3, 1
Let s = 18 - 10. Let y be 9/4 - 2/s. Factor 5*w + 7*w + 2 + y*w + 8*w**4 + 26*w**3 + 30*w**2.
2*(w + 1)**3*(4*w + 1)
Suppose -3*d + 4*p = 16, -6*p = 7*d - 11*p + 7. Let -8/7*v**3 + 4/7*v**5 + 4/7*v**d + 0*v + 0*v**2 + 0 = 0. What is v?
-2, 0, 1
Determine y so that -12/7*y**3 - 8/7*y**2 + 16/7*y + 2/7*y**4 + 2/7*y**5 + 0 = 0.
-2, 0, 1, 2
Let c = -1 - -4. Suppose 0 = 2*x - a - 10, 2*x + 5*a = 6*x - 20. Let 1 - 3*i**3 + 5*i**2 + 2 - 3*i**2 + c*i - x*i**2 = 0. Calculate i.
-1, 1
Let m = -19 - -10. Let y be 3/(3/(m/(-3)) - 0). Solve 3 + 3/4*d**2 - y*d = 0.
2
Determine x, given that -144/7 - 4*x**2 - 2/7*x**3 + 136/7*x = 0.
-18, 2
Let f(o) = 3*o**4 - 5*o**3 + 11*o**2 + 5*o - 3. Let u(a) = 2*a**4 - 2*a**3 + 6*a**2 + 2*a - 2. Let l(g) = -6*f(g) + 11*u(g). Factor l(c).
4*(c - 1)*(c + 1)**3
Let w(i) be the first derivative of i**3/3 + 14*i**2 + 75*i - 449. Solve w(v) = 0 for v.
-25, -3
Let k(j) = 26*j**2 - 190*j - 58. Let b(t) = -51*t**2 + 378*t + 120. Let u(l) = l - 1. Let g(z) = -b(z) - 3*u(z). Let s(o) = -2*g(o) + 5*k(o). Factor s(w).
4*(w - 7)*(7*w + 2)
Let k(r) be the third derivative of -r**5/60 - 41*r**4/12 - 1681*r**3/6 + 201*r**2. Factor k(w).
-(w + 41)**2
Let v(b) = -70*b**3 + 687*b**2 - 920*b - 320. Let t(j) = -35*j**3 + 343*j**2 - 460*j - 160. Let s(g) = -7*t(g) + 3*v(g). Determine z so that s(z) = 0.
-2/7, 2, 8
Suppose 3*u - 2 - 34 = 0. Let p be ((-2)/4)/((-2)/u). Factor -p*r + 1/2 + 9/2*r**2 - 2*r**3.
-(r - 1)**2*(4*r - 1)/2
Let q(j) be the first derivative of 2*j**5/45 + 5*j**4/9 - 142*j**3/27 + 20*j**2/3 - 603. Factor q(h).
2*h*(h - 4)*(h - 1)*(h + 15)/9
Factor -7/6*k - 2/3 - 7/12*k**2 - 1/12*k**3.
-(k + 1)*(k + 2)*(k + 4)/12
Let 2/11*a**2 - 24/11*a + 38/11*a**3 + 0*a**4 - 8/11 - 8/11*a**5 = 0. Calculate a.
-2, -1/2, 1, 2
Let p(f) be the first derivative of -f**4/18 + 2*f**3/9 - 8*f/9 - 97. Factor p(d).
-2*(d - 2)**2*(d + 1)/9
Let w be (2 + (-252)/94)*2/(-10). Let k = w - -3/47. Factor 1/5*l + k*l**2 + 0.
l*(l + 1)/5
Suppose 10*f = 33 - 3. Factor -6 - 128*h + 4 + 2*h**f + 126*h + 2*h**2.
2*(h - 1)*(h + 1)**2
Factor -48*z**2 + 0*z**3 - 40*z - 12 - 834*z**4 - 24*z**3 + 830*z**4.
-4*(z + 1)**3*(z + 3)
Let h(k) = 10*k**3 - 20*k**2 + 3*k + 17*k + 11 + 16 + 18. Let b(g) = -11*g**3 + 19*g**2 - 21*g - 45. Let u(f) = 5*b(f) + 6*h(f). Solve u(n) = 0 for n.
-1, 3
Let p(v) be the first derivative of -2*v**6/9 + 4*v**5/5 + v**4/3 - 44*v**3/9 + 8*v**2 - 16*v/3 - 49. Find q such that p(q) = 0.
-2, 1, 2
Factor 245*o**2 + 510 + 3*o**3 - 391*o + 195*o**2 - 624*o + 60*o**2 + 2*o**3.
5*(o - 1)**2*(o + 102)
Let b = -11 - -9. Let n be ((-3)/b)/((-3)/(-8)). Solve -6*y**3 + 0*y + 3*y**2 + 10*y - 5*y**4 - n*y + 2*y**4 = 0.
-2, -1, 0, 1
Suppose 5*u + 6 - 20 = 3*r, 4*u - 22 = -3*r. Determine l, given that 4*l - 2 + 2 + l**3 + 3*l**r + l**2 = 0.
-2, 0
Let p = -30849 + 30851. Suppose -2*j = -4*u - 20, 3*u = -2 - 13. Suppose -1/2*d**p + 1/2 + j*d = 0. Calculate d.
-1, 1
Let u(o) be the second derivative of -5/12*o**3 - 7*o + 0*o**2 + 25/48*o**4 - 1/8*o**5 + 0. Factor u(c).
-5*c*(c - 2)*(2*c - 1)/4
Determine t, given that -4*t + 2/3*t**2 + 16/3 = 0.
2, 4
Determine g, given that -186*g - 6*g**4 + 66*g**2 - 32*g**3 + 85*g + 73*g = 0.
-7, 0, 2/3, 1
Let x(f) be the first derivative of 2*f**3/3 + 42*f**2 + 882*f - 110. Find j, given that x(j) = 0.
-21
Let u(o) = -12*o - 94. Suppose -y - 4*c - 16 = 0, 6*y - y = 3*c - 34. Let l be u(y). Factor -6 - 3/4*d**3 - 9*d - 9/2*d**l.
-3*(d + 2)**3/4
What is m in 60*m - 9*m**3 - 216*m**2 + 28*m**3 - 4*m**3 + 6*m**3 = 0?
0, 2/7, 10
Let j(f) = -f**3 + 37*f**2 + 96*f - 700. Let c be j(39). Suppose 8/3*i**4 - 8/3*i**c + 0 - 2*i**3 - 2/3*i**5 + 8/3*i = 0. Calculate i.
-1, 0, 1, 2
Let d = -1775/33 - -720/11. Let p = d + -61/6. Let 0 + p*c**2 + 1/2*c - 2*c**3 = 0. Calculate c.
-1/4, 0, 1
Suppose 14*m - 17*m - 102 = 0. Let f = m - -36. Factor 0 - q**f - 1/4*q**3 - q.
-q*(q + 2)**2/4
Let y(n) be the second derivative of 2*n - 1/60*n**6 + 1/24*n**4 + 0*n**2 + 0*n**3 + 0*n**5 - 13. Factor y(q).
-q**2*(q - 1)*(q + 1)/2
Let j(v) be the third derivative of v**5/12 - 15*v**4/4 - 15*v**2 + 2. Solve j(g) = 0.
0, 18
Let d(o) be the second derivative of -o**4/21 - 2*o**3/3 + 16*o**2/7 - 52*o - 2. Let d(n) = 0. Calculate n.
-8, 1
Let x = -14141 + 14141. Factor x*y + 0 - 8/3*y**2 + 4*y**3 - 4/3*y**4.
-4*y**2*(y - 2)*(y - 1)/3
Let c(a) = 4*a**2 + 7*a + 3. Let q(f) = -3*f**2 - 5*f - 2. Let j(r) = -2*c(r) - 3*q(r). Solve j(b) = 0 for b.
-1, 0
Let j be 20/(-50) + 6 + (-2088)/405. Factor 0 - 4/9*f**2 - 2/9*f + 2/9*f**5 + 0*f**3 + j*f**4.
2*f*(f - 1)*(f + 1)**3/9
Let q(v) be the second derivative of -v**4/66 + 4*v**3/33 - 3*v**2/11 + 26*v - 2. Let q(l) = 0. Calculate l.
1, 3
Let p = 22321/2005 - -27/401. Determine s, given that 0 - p*s**4 + 4*s**3 + 12/5*s**5 + 56/5*s**2 - 32/5*s = 0.
-1, 0, 2/3, 1, 4
Let d(n) be the second derivative of 85/18*n**3 + 25/3*n**2 + 5/12*n**4 - 1/18*n**6 + 0 - 5/12*n**5 - 6*n. Let d(i) = 0. Calculate i.
-5, -1, 2
Let p(t) be the third derivative of -t**4/6 - t**3/6 + t**2. Let a be p(-1). What is s in -5*s**2 + 2*s**2 + 3*s**3 + a*s - 3*s**2 = 0?
0, 1
Solve 4/5*d**2 - 2/5*d**3 + 8*d + 48/5 = 0.
-2, 6
Let w(r) be the second derivative of 32*r**7/63 + 8*r**6/45 - 101*r**5/15 + 115*r**4/36 + 350*r**3/9 - 250*r**2/3 - 27*r + 3. Determine n, given that w(n) = 0.
-2, 5/4
Let l(i) = -i**5 + 3*i**4 - 5*i**3 - i**2 + 8*i - 6. Let o(a) = 2*a**5 - 5*a**4 + 9*a**3 + 2*a**2 - 16*a + 13. Let b(n) = -5*l(n) - 2*o(n). Factor b(k).
(k - 2)**2*(k - 1)**2*(k + 1)
Factor n**2 + n**2 + 0*n**2 - 9488*n + n**2 + 9632*n.
3*n*(n + 48)
Let w(d) = d**2 - 6*d - 6. Let h(o) = o**2 - o - 1. Let k = -944 - -947. Let p(x) = -x**2 + 4*x - 1. Let b be p(5). Let z(a) = b*h(a) + k*w(a). Factor z(n).
-3*(n + 2)**2
Let o(u) be the second derivative of u**4/24 + 25*u**3/6 + 625*u**2/4 - 114*u. Factor o(w).
(w + 25)**2/2
Let i(c) = 47*c + 1648. Let k be i(-35). Determine g, given that 0 + 2/7*g**2 + 0*g + 2/21*g**k = 0.
-3, 0
Let h(y) be the first derivative of -5*y**6/3 + 86*y**5/5 + 73*y**4/2 - 46*y**3/3 - 68*y**2 - 40*y - 43. Let h(p) = 0. What is p?
-1, -2/5, 1, 10
Let m(v) be the first derivative of v**7/210 - v**6/180 - v**3/3 + 16. Let s(f) be the third derivative of m(f). Factor s(w).
2*w**2*(2*w - 1)
Factor -188/3*t**3 - 380/3*t**2 - 98/3 - 34/3*t**4 - 322/3*t - 2/3*t**5.
-2*(t + 1)**3*(t + 7)**2/3
Factor -3*n**4 - 24*n**2 - 173*n + 357*n + 18*n**3 + 27 - 202*n.
-3*(n - 3)**2*(n - 1)*(n + 1)
Let v = -2/1323 - -884/1323. Factor -4/3 + 2/3*b**2 - v*b.
2*(b - 2)*(b + 1)/3
Let g(l) be the first derivative of -8/7*l - 51 - 2/21*l**3 - 5/7*l**2. Let g(m) = 0. What is m?
-4, -1
Let p(k) = -k**4 + 3*k**3 + 3*k**2 - 9*k - 3. Let s(m) = -10*m**4 + 35*m**3 + 35*m**2 - 105*m - 35. Let w(