2, -1, 0
Let z = 1050236 + -1050234. Let -1/7*u**z + 0 + 2/7*u = 0. Calculate u.
0, 2
Let o be (-6)/(-48)*(-3 + 4). Let i(y) be the third derivative of 0*y - 8*y**2 + 1/240*y**5 + 1/48*y**4 + 0 - o*y**3. Factor i(h).
(h - 1)*(h + 3)/4
Let j be (-3546)/14184*(-1 + 3/5 - (-266)/(-35)). Factor 378/5*h**3 + 414/5*h**j - 54/5*h**4 + 16/5 + 142/5*h.
-2*(h - 8)*(3*h + 1)**3/5
Let x(d) be the third derivative of 0*d + 0*d**3 + 1/12*d**4 + 16*d**2 + 0 - 1/30*d**5. Factor x(l).
-2*l*(l - 1)
Let p(f) = 3*f**3 + 10222*f**2 + 11614464*f + 4398010382. Let x(s) = s**2 - 7. Let a(h) = -p(h) - 2*x(h). Factor a(l).
-3*(l + 1136)**3
Let j(x) be the third derivative of -x**5/210 - 13*x**4/14 + 79*x**3/21 - 139*x**2 + 5. Factor j(r).
-2*(r - 1)*(r + 79)/7
Let c = 3736 + -18674/5. What is t in 0 + c*t**2 - 3/5*t = 0?
0, 1/2
Let l be (-4)/(-28) - (39 + 2)*(-27 + 6204/231). Factor -33/5*d + l + 3/5*d**2.
3*(d - 10)*(d - 1)/5
Let g(u) = u**2 + 7*u - 4. Suppose 5*z = -3*c + 8, -4*c - 28 = 3*z - 6*z. Let b(r) = -r**2 - 8*r + 1. Let v(a) = c*g(a) - 5*b(a). Factor v(j).
(j + 1)*(j + 11)
Let y be 5 - (-34)/(-18) - (-19)/(-171). Suppose y - 9/2*i + 3/2*i**2 = 0. Calculate i.
1, 2
Let o(t) = t**2 - 2*t + 20. Let q be o(0). Solve r - r - q*r**2 + 4*r**3 + 24*r = 0 for r.
0, 2, 3
Let m be (0 - 1)/(2/(-38)). Let z = -120 - -125. Factor -l**4 + m*l**4 + 21*l**2 - 42*l**3 + z*l**2 - 3*l**5 + 6 - 27*l + 22*l**2.
-3*(l - 2)*(l - 1)**4
Suppose -7*w + 45 = -6*w. Let x be ((-24)/w)/(12/20 + -1). Let 8*a - 12 - x*a**2 = 0. Calculate a.
3
Let u(v) be the first derivative of v**5/105 - 13*v**4/42 - 3*v**2/2 + 27*v + 53. Let q(h) be the second derivative of u(h). Factor q(j).
4*j*(j - 13)/7
Let y be (-3)/(5/3*(-9)/855). Let b = 173 - y. What is x in 3/5 + 84/5*x + 588/5*x**b = 0?
-1/14
Let c(u) = -2*u**3 + 3*u**2 + u + 2. Let a be c(-3). Factor 18*v**3 - 5*v**3 + 36*v**2 + a - 9*v**3 + 96*v.
4*(v + 2)**2*(v + 5)
Let x = 14 + 19. Let 30 - x*d**4 + 36*d**4 + 0*d**3 - 33*d**2 + 9*d**3 - 9*d = 0. What is d?
-5, -1, 1, 2
Let v be (-4)/14 + (2033/133 - 0 - 15). Factor 2/3*k**2 - 4/15*k**3 + v + 2/5*k.
-2*k*(k - 3)*(2*k + 1)/15
Let w(n) be the second derivative of -n**4/42 + 12*n**3/7 + 160*n**2/7 + 202*n. Factor w(a).
-2*(a - 40)*(a + 4)/7
Let b be ((-1744)/(-12))/((-4)/(-3)). Let z = -105 + b. Let 13/5*k**z + 0 + 3/5*k**5 - 4/5*k**2 + 14/5*k**3 - 8/5*k = 0. What is k?
-2, -1, 0, 2/3
Let i(j) = -j**2 - 4*j + 13. Let m be i(0). Find c such that 2*c + m*c**2 - 191*c**3 + 187*c**3 + 2*c**5 - 5*c**2 - 4*c**4 - 4 = 0.
-1, 1, 2
Let q(t) be the third derivative of -t**6/24 - 3*t**5/4 + 115*t**4/12 + 100*t**3 + 1555*t**2 - 2. Find p such that q(p) = 0.
-12, -2, 5
Determine a, given that 1/10*a**4 + 48/5 - 7/5*a**3 - 68/5*a + 34/5*a**2 = 0.
2, 4, 6
Suppose -11*k + 12 = -5*k. Solve -9645*z**2 - 4*z - 14*z**4 + 9605*z**k + 12*z + 46*z**3 = 0.
0, 2/7, 1, 2
Let d(q) be the second derivative of 4*q**6/15 - 9*q**5/5 + 14*q**4/3 - 6*q**3 + 4*q**2 + 2*q - 86. Factor d(j).
4*(j - 2)*(j - 1)**2*(2*j - 1)
Let m(t) be the first derivative of 49*t**6/6 - 952*t**5/5 + 1061*t**4/4 + 3490*t**3/3 + 822*t**2 + 216*t + 3740. Find o, given that m(o) = 0.
-1, -2/7, 3, 18
Let s(n) be the second derivative of n**7/210 + 19*n**6/90 - 7*n**5/5 + 2*n**3 + n**2/2 - 80*n. Let c(v) be the second derivative of s(v). Factor c(g).
4*g*(g - 2)*(g + 21)
Let u(g) be the second derivative of g**6/45 - g**5/15 - g**4/6 + 4*g**3/9 + 4*g**2/3 - 2208*g. Let u(y) = 0. Calculate y.
-1, 2
Let t(r) be the second derivative of 2*r**5/35 - 10*r**4/7 - 69*r**3/7 - 162*r**2/7 - 7920*r. Let t(q) = 0. What is q?
-3/2, 18
Let f(l) be the third derivative of 0*l**3 + 1/120*l**6 + 0*l + 0*l**4 + 0 - 1/60*l**5 - 52*l**2. Factor f(k).
k**2*(k - 1)
Let t be 16/(-30)*(-4780)/1912. Let -t*s + 0 - 2/3*s**2 = 0. Calculate s.
-2, 0
Determine j, given that -2736/7*j**2 - 1247616/7*j - 189637632/7 - 2/7*j**3 = 0.
-456
Let f = 5/123594 - -216287/61797. Factor -10 - 1/2*t**3 - f*t**2 + 14*t.
-(t - 2)*(t - 1)*(t + 10)/2
Suppose -m + 0*m = -11. Suppose 4*a = -k + 16, m = 2*k + a - 0. Factor 4*g**3 - g**2 + g**k + 0*g**3 - 3*g**3 - 2*g**3 + g**5.
g**2*(g - 1)*(g + 1)**2
Let a be ((-15)/(-1080)*18)/((-1)/20) - -7. Solve 3/7*z**3 - 3*z + 0 + 18/7*z**a = 0.
-7, 0, 1
Let g(n) be the second derivative of -n**4/30 + 89*n**3/15 - 84*n**2 + 3393*n. Factor g(k).
-2*(k - 84)*(k - 5)/5
Suppose -1755625*f**2 + 0 - 1/3*f**4 - 1325*f**3 - 2326203125/3*f = 0. What is f?
-1325, 0
Let j(h) be the first derivative of -h**4/4 + 14*h**3/3 + 91*h**2/2 + 76*h + 1222. Factor j(u).
-(u - 19)*(u + 1)*(u + 4)
Let v(w) = -3*w**3 + 7*w**2 + 215*w - 221. Let o(r) = 7*r**3 - 15*r**2 - 429*r + 442. Let b(q) = -4*o(q) - 10*v(q). Determine c so that b(c) = 0.
-13, 1, 17
Suppose 4*d - 15 + 7 = 0. Let k be 9/(-27) - (d - (-514)/(-3)). Factor 8*c**2 + 2*c**3 - 6*c**3 + k - 169 - 4*c.
-4*c*(c - 1)**2
Let q be 18 + -7 - 6 - 2. Let -3 + 73 - 30 + 5*f**3 + 5*f**5 + 20*f**4 - 20*f + 0*f**q - 50*f**2 = 0. What is f?
-2, 1
Let p be 1060/(-8) - (-11 - -8). Let n = p + 130. Solve 0 + 1/2*r**4 - n*r**2 + 1/2*r**5 + 0*r - 1/2*r**3 = 0 for r.
-1, 0, 1
Suppose 282*m = 312*m. Let h(d) be the second derivative of 0*d**5 + 14*d + 0 + 0*d**3 + 0*d**4 + m*d**2 - 1/105*d**7 - 1/75*d**6. Factor h(t).
-2*t**4*(t + 1)/5
Factor -12*a**2 + 11 - 2 + 7 - 17*a - 7*a + 2*a**3 + 16*a + 2*a**4.
2*(a - 2)*(a - 1)*(a + 2)**2
Let c be ((-11)/(-12))/11 - (-6 + (-355)/(-60)). Let i(y) be the second derivative of c*y**5 + y + 0 + 4/9*y**3 + 2/3*y**4 + 0*y**2. Factor i(o).
2*o*(o + 2)*(5*o + 2)/3
Suppose -3*u - 5*y - 44 = -4*u, -5*y = 5*u - 70. Let c = -148 + 153. Find g such that -18*g**3 + 35*g**3 + g**c - u*g**3 - g**4 = 0.
-1, 0, 2
Let k(n) be the second derivative of n**6/55 - 3*n**5/110 - 3*n**4/11 + 1248*n. Let k(b) = 0. What is b?
-2, 0, 3
Suppose -151 - 111 + 375*y**2 + 1233*y**3 + 474*y**4 - 1233*y - 495*y**4 - 92 = 0. Calculate y.
-1, -2/7, 1, 59
Suppose u + 13 = 2*l, -55*l + 53*l + 28 = -4*u. Suppose 648/5*g**2 + 0*g - 324/5*g**3 + 54/5*g**l - 3/5*g**5 + 0 = 0. Calculate g.
0, 6
Let r be (15/14)/((-27)/21)*16/(-5). Factor 16/9 + 22/9*b**3 + 2/9*b**5 - 4/9*b**2 - r*b - 4/3*b**4.
2*(b - 2)**3*(b - 1)*(b + 1)/9
Let j = -1393713 - -1393713. Factor j*f + 3/2*f**3 + 3/2*f**2 + 0.
3*f**2*(f + 1)/2
Factor 52581*i**3 - 52439*i**3 + 49*i**5 + 5*i**2 + 140*i**4 + 55*i**2 + 9*i.
i*(i + 1)**2*(7*i + 3)**2
Factor 1007/2 - 2015/4*z + 1/4*z**2.
(z - 2014)*(z - 1)/4
Let q(g) be the second derivative of 2*g**7/189 + 14*g**6/27 - 73*g**5/45 + 37*g**4/27 - g + 145. Factor q(v).
4*v**2*(v - 1)**2*(v + 37)/9
Let c(a) be the second derivative of -11/4*a**4 + 18*a**3 + 0 - 35*a + 54*a**2 - 3/2*a**5 + 5/18*a**6. Factor c(i).
(i - 3)**2*(5*i + 6)**2/3
Let a = -77654/3 - -25885. Factor -1/3*m + a*m**2 + 1/3*m**3 - 1/3.
(m - 1)*(m + 1)**2/3
Let q(x) be the second derivative of -10/3*x**4 - 5/42*x**7 + 1/3*x**6 + 7/4*x**5 + 2 - 10*x**3 + 0*x**2 - 103*x. Solve q(y) = 0 for y.
-2, -1, 0, 2, 3
Factor -2/5*i**3 + 2/5*i + 4/5*i**2 - 4/5.
-2*(i - 2)*(i - 1)*(i + 1)/5
Let h(r) be the second derivative of -r**7/3360 + r**6/320 - 10*r**4/3 + 6*r + 3. Let s(o) be the third derivative of h(o). Determine z, given that s(z) = 0.
0, 3
What is a in -1/3*a**4 + 82*a**2 + 144*a + 0 + 13/3*a**3 = 0?
-9, -2, 0, 24
Let k be 63/(-14) - -3 - ((-6264)/(-336) - 21). Factor -8/7*n - k*n**2 + 1 + 8/7*n**3 - 1/7*n**4.
-(n - 7)*(n - 1)**2*(n + 1)/7
Let n be (43 - (-1918)/(-42)) + 3. Find d such that -d**2 + 2*d**3 + n*d**4 - 56/3*d - 16 = 0.
-4, -1, 3
Let t(u) be the second derivative of -u**5/24 - 25*u**4/72 - 10*u**3/9 - 5*u**2/3 - 3240*u. Factor t(b).
-5*(b + 1)*(b + 2)**2/6
Let r = 419793 + -1259099/3. Factor r*k + 2/3*k**2 + 9800/3.
2*(k + 70)**2/3
Let a be (-1)/(2 + 5/(-2) + 0). Suppose 0 = a*m - 0 - 12. Factor 0*f**4 - 15*f**5 - 3*f**3 - 27*f**4 + m*f**2 + 3*f**4.
-3*f**2*(f + 1)**2*(5*f - 2)
Let k(y) = 14216*y**2 + 71080*y + 5. Let l be k(-5). Solve 16/15*s**2 - 16/15*s**4 - 28/15*s**3 - 2/15*s**l + 0 + 2*s = 0 for s.
-5, -3, -1, 0, 1
Let i be 24*(6 + 112/(-21)). Suppose i = -2*r - 4*z, 0 = -0*r - r + 2*z + 12. Factor 2/9*q**r - 2/9*q**4 + 0*q**3 + 0 + 0*q.
-2*q**2*(q - 1)*(q + 1)/9
Let q(y) = 11*y + 117. Let k be q(-2). Factor 9*s**2 + k*s - 46 - 54 - 4*s**2.
5*(s - 1)*(s