v**3 + 1806 - 3605 + 12*v**2 - 18*v = 0. What is v?
1, 4
Let h(q) be the third derivative of -5*q**8/336 + q**7/21 + q**6/6 - q**5/6 - 5*q**4/8 + q**2 + 51. Let h(i) = 0. What is i?
-1, 0, 1, 3
Let 3*z**2 + 162*z**3 + 310 + 0*z**2 + 0*z**2 - 310 = 0. Calculate z.
-1/54, 0
Let f(y) be the second derivative of y**9/60480 + y**8/13440 - y**7/10080 - y**6/1440 + 3*y**4/4 - 3*y. Let j(o) be the third derivative of f(o). Factor j(q).
q*(q - 1)*(q + 1)*(q + 2)/4
Factor 1/7*q**4 + 5/7*q**3 + 6/7*q**2 - 4/7*q - 8/7.
(q - 1)*(q + 2)**3/7
Let z(l) = -5*l**2 - 3 - 8 + l - 7*l + 10. Let a(u) = 55*u**2 + 65*u + 10. Let m(p) = -6*a(p) - 65*z(p). Determine d, given that m(d) = 0.
-1, 1
Solve 0*b + 1/6*b**5 - 5/2*b**4 + 0*b**2 + 7/3*b**3 + 0 = 0.
0, 1, 14
Suppose 4*b + 5*i + 12 = 0, 0 = -b - i + 5*i - 3. Let u(q) = -8*q - 21. Let g be u(b). Factor 5/2*z**g + 0 + z**2 - 7/2*z**4 + 0*z.
-z**2*(z - 1)*(7*z + 2)/2
Let k(j) = j**2 - 13*j + 3. Let n be k(13). Let d(q) = 12*q**2 + 18*q + 3. Let i(z) = -z**2 + z + 1. Let v(w) = n*i(w) + d(w). Determine u so that v(u) = 0.
-2, -1/3
Factor -32/11*w + 2/11*w**3 + 6/11*w**2 + 24/11.
2*(w - 2)*(w - 1)*(w + 6)/11
Let c(i) = 2*i**2 - 11*i + 2. Let a be c(6). Suppose 6*u = a*u - 6. Suppose 0 + 2/3*l**u + 0*l - 2/3*l**2 = 0. What is l?
0, 1
Let x(c) be the third derivative of -c**6/360 + c**5/60 - c**4/24 - 7*c**3/3 - 7*c**2. Let r(n) be the first derivative of x(n). What is w in r(w) = 0?
1
Let p be 907/2100 - -1*18/(-42). Let r(n) be the third derivative of -p*n**6 + 0*n + 1/75*n**5 + 0 + 0*n**4 - 7*n**2 + 0*n**3. Determine s, given that r(s) = 0.
0, 2
Let 113093*r**2 - 362*r**4 + 3*r**5 - 211*r**4 - 214841 + 1536003*r - 535300 - 744554*r**2 - 190689*r**2 + 36858*r**3 = 0. What is r?
1, 63
Let 5*o**4 + o**3 + 7*o**4 + 4*o + 8*o**4 + 11*o**3 - 24*o**4 - 12*o**2 = 0. Calculate o.
0, 1
Suppose 2*k - 114 = -114. Find v, given that 0*v**3 + 3/4*v**5 + 0*v + k*v**2 - 3/4*v**4 + 0 = 0.
0, 1
Let w(f) be the second derivative of -f**5/20 - 5*f**4/12 + 4*f**3/3 + 24*f**2 - 204*f. Factor w(y).
-(y - 3)*(y + 4)**2
Let l be 2 + (-25)/20 + 35/(-84). Let q(u) be the second derivative of -1/36*u**4 + 0 + 1/18*u**3 - 5*u + l*u**2. Factor q(y).
-(y - 2)*(y + 1)/3
Suppose 2*b = -b - s, -2*b = 2*s. Suppose 4*k + k = 0. Solve 1/3*o**3 - 1/3*o**4 + b*o**2 + 0 + k*o = 0.
0, 1
Factor 60*h - 11*h**4 + 29*h**4 - 8*h**4 - 20*h**2 - 15*h**4 - 35*h**3.
-5*h*(h - 1)*(h + 2)*(h + 6)
Let k(b) be the first derivative of -5 + 4/3*b + 1/5*b**2 - 2/45*b**3. Factor k(h).
-2*(h - 5)*(h + 2)/15
Let w(v) be the second derivative of v**6/90 - 71*v**5/60 - 73*v**4/12 - 221*v**3/18 - 37*v**2/3 + 320*v. Find x, given that w(x) = 0.
-1, 74
Let t(x) be the second derivative of 1/3*x**4 + 0 + 0*x**2 + 0*x**3 - 12*x. Let t(d) = 0. Calculate d.
0
Let d be ((-1)/3)/(5*(-2)/60). Factor 2/7*o**5 - 4/7*o**d - 8/7*o**4 + 10/7*o**3 + 0*o + 0.
2*o**2*(o - 2)*(o - 1)**2/7
Suppose -1415*a + 1430*a - 30 = 0. Let 1/5*j**a + 2/5 - 3/5*j = 0. Calculate j.
1, 2
Let d(u) = 9*u**2 - 96*u - 186. Let c(f) = -26*f**2 + 287*f + 559. Let o(q) = 6*c(q) + 17*d(q). Suppose o(i) = 0. Calculate i.
-2, 32
Let g(q) = 3*q**4 - 8*q**3 - q**2 + 8*q + 13. Let s(x) = x**4 - 4*x**3 - x**2 + 4*x + 6. Let k(y) = 4*g(y) - 10*s(y). Solve k(p) = 0.
-2, -1, 1
Let p(v) = -17*v - 15. Let t be p(-1). Solve -3/2 - 1/2*f**t - 2*f = 0 for f.
-3, -1
Let t(l) be the first derivative of l**7/350 + l**6/100 - 3*l**5/100 - 5*l**2 + 23. Let x(y) be the second derivative of t(y). Factor x(o).
3*o**2*(o - 1)*(o + 3)/5
Factor -4*g**2 - 16*g**3 + 57*g + 16 + 13*g - 6*g.
-4*(g - 2)*(g + 2)*(4*g + 1)
Let w = 1605 - 56172/35. Let a(x) be the first derivative of 0*x + 7 + 0*x**2 + 0*x**3 - 3/14*x**4 + w*x**5. Factor a(u).
3*u**3*(u - 2)/7
Solve -105897 - 108348 + 521*u - 2591*u - 5*u**2 = 0.
-207
Let b = -3 + 86. Let y = b + -83. Find x, given that y*x + 0*x**2 + 0 - 2/17*x**4 - 4/17*x**3 = 0.
-2, 0
Let b(i) = -5*i - 36. Let h(f) = 2*f - 38. Let l be h(15). Let d be b(l). Factor 0*j**2 - 4/3*j**3 + 0*j - 2/3*j**d + 0.
-2*j**3*(j + 2)/3
Factor 0 - 2*z + 0*z**3 - 13/6*z**2 + 1/6*z**4.
z*(z - 4)*(z + 1)*(z + 3)/6
Let s(o) = 3*o - 2. Let x be s(3). Factor 2 + 2*b**4 - x*b - 8*b**3 - 5*b + 12*b**2 + 4*b.
2*(b - 1)**4
Let m(o) be the first derivative of 15*o**4/4 + 2*o**3 - 99*o**2/2 + 54*o + 25. Solve m(g) = 0.
-3, 3/5, 2
Let b(s) be the first derivative of -2*s**4/3 - 10*s**3/3 + 4*s**2/3 + 213. Let b(f) = 0. What is f?
-4, 0, 1/4
Let p(r) = r**4 - 24*r**3 - 5*r**2 + 24*r + 2. Let l(i) = 24*i**3 + 6*i**2 - 24*i - 3. Let v(k) = 2*l(k) + 3*p(k). Factor v(u).
3*u*(u - 8)*(u - 1)*(u + 1)
Let z(m) = -16*m**3 + 12*m**2 + 32*m + 14. Let v(h) = h**3 - 2*h**2 - 3*h - 1. Let g(q) = 10*v(q) + z(q). Factor g(c).
-2*(c + 1)**2*(3*c - 2)
Let y(o) be the second derivative of -1/3*o**6 - 15/2*o**2 - 20*o + 25/12*o**4 + 0 + 1/4*o**5 - 5/6*o**3. Solve y(w) = 0 for w.
-1, 1, 3/2
Let y = 35839 + -35835. Find q such that 0 + 15/2*q**2 - 3*q - 3/2*q**3 - 3*q**y = 0.
-2, 0, 1/2, 1
Let y(p) = 6*p**3 - 36*p. Let f(c) = -c**3 + 5*c. Suppose 2*a - 3*l = 45, 2*a - 4*l = 7*a - 55. Let r(z) = a*f(z) + 2*y(z). Factor r(k).
-3*k*(k - 1)*(k + 1)
Let t be 2*(-4)/14 + (-32060)/(-196). Let l = 165 - t. Find h, given that 0*h - 2/9*h**l + 0 = 0.
0
Factor 141/2*t - 18*t**2 + 6.
-3*(t - 4)*(12*t + 1)/2
Suppose -4*q + 225 = 3*c, -5*q + 100 = -5*c - 225. Let g = -60 + q. Factor -4/11*b**3 + 2/11*b**5 + 0*b**2 + 0*b**4 + 2/11*b + g.
2*b*(b - 1)**2*(b + 1)**2/11
Let q(x) be the second derivative of -x**5/160 - x**4/32 + x**3/48 + 3*x**2/16 + 41*x. Factor q(c).
-(c - 1)*(c + 1)*(c + 3)/8
Solve 5*g**2 - 9*g**2 - g**2 - 3*g + 3*g**2 + 90 - g**2 = 0.
-6, 5
Let u(b) be the first derivative of 5/7*b**2 + 2/21*b**3 + 35 + 8/7*b. Factor u(f).
2*(f + 1)*(f + 4)/7
Let w(u) be the first derivative of 4 - 1/8*u**2 + 0*u**4 + 0*u + 1/24*u**6 + 1/6*u**3 - 1/10*u**5. Factor w(a).
a*(a - 1)**3*(a + 1)/4
Let j(n) be the first derivative of -1/12*n**3 - 1/16*n**4 - 35 + 1/2*n**2 + n. Suppose j(r) = 0. Calculate r.
-2, -1, 2
Let j(k) be the first derivative of -k**6/24 + 3*k**5/10 - 3*k**4/4 + 2*k**3/3 - 86. Suppose j(r) = 0. Calculate r.
0, 2
Let c(r) be the second derivative of -2/5*r**6 + 2/5*r**5 + 1/3*r**4 + 0*r**3 + 0 + 0*r**2 - 8*r. Solve c(o) = 0.
-1/3, 0, 1
Let f be 3/((-39)/12 - -4). Suppose 5*q + 13 = f*q. Let y(d) = 7*d**2 - 8*d - 3. Let g(n) = 15*n**2 - 17*n - 6. Let j(k) = q*y(k) + 6*g(k). Factor j(w).
-(w - 3)*(w + 1)
Let k = -566/215 + 182/43. Factor -8/5 + k*h**2 - 2/5*h + 2/5*h**3.
2*(h - 1)*(h + 1)*(h + 4)/5
Let i(g) be the third derivative of -g**7/840 + 7*g**5/240 - g**4/16 - 2*g**2 + 58*g. Solve i(f) = 0 for f.
-3, 0, 1, 2
Let x(h) be the first derivative of 3*h**5/40 + 5*h**4/8 + 2*h**3 + 3*h**2 + 30*h - 38. Let t(a) be the first derivative of x(a). Let t(f) = 0. Calculate f.
-2, -1
Factor 5*x**2 + 2 - 2 - 295*x + 300*x - 5*x**3 - 2*x**4 - 3*x**4.
-5*x*(x - 1)*(x + 1)**2
Suppose 4 = 10*x + 14. Let m be (5 - (3 - -5))*x/5. Let 9/5*h + 6/5 + m*h**2 = 0. Calculate h.
-2, -1
Let q be (-1)/(-1) + 14 + -9. Let n(v) = -v**4 + 13*v**3 - 30*v**2 + 43*v - 19. Let d(s) = -s**3 - s**2 - s + 1. Let u(f) = q*d(f) + 2*n(f). Factor u(i).
-2*(i - 4)**2*(i - 1)**2
Let s be (-3 - 187/2)/(-1). Let v = s - 96. Factor 0 - 1/2*f**3 + v*f + 0*f**2.
-f*(f - 1)*(f + 1)/2
Let r = 11 + -163/15. Let a = -7875 + 7879. Solve 4/3*w**a + r*w**3 + 4/15 - 8/5*w**2 - 2/15*w = 0 for w.
-1, -1/2, 2/5, 1
Let 2*n**2 - 365*n**3 + 0*n**2 + 367*n**3 = 0. Calculate n.
-1, 0
Suppose 0 = 9*s + 16 + 2. Let l(a) = a**2 + 6*a - 7. Let o(z) = 6*z - 6. Let i(h) = s*o(h) + 3*l(h). Factor i(b).
3*(b - 1)*(b + 3)
Let c be 39/(-33) + 1 + 1916/11. Let g = 1230/7 - c. Determine m, given that 0 + 6/7*m + g*m**3 - 3/7*m**4 - 15/7*m**2 = 0.
0, 1, 2
Let o(i) be the third derivative of 0*i + 0 - 1/90*i**5 - 8*i**2 - 1/12*i**4 - 2/9*i**3. Find v, given that o(v) = 0.
-2, -1
Let f be ((-5)/(-35))/1*35. Let i(o) be the first derivative of 6 - 2/9*o**3 - 1/18*o**4 + 1/9*o**2 + 2/45*o**f + 4/9*o. Factor i(m).
2*(m - 2)*(m - 1)*(m + 1)**2/9
Factor 50*w**3 + 984*w + 8*w - 1024 + 416*w - 432*w**2 - 2*w**4.
-2*(w - 8)**3*(w - 1)
Let f(p) be the second derivative of 8/195*p**6 + 24*p + 11/65*p**5 + 1/273*p**7 + 0*p**2 + 3/13*p**3 + 4/13*p*