Let p be 4/c*(-27)/(-63). Factor -2/7*q**2 + 0 + 0*q - p*q**3.
-2*q**2*(q + 1)/7
Let c = -209 - -212. Let x(s) be the second derivative of -7/4*s**4 - 8*s - 2*s**c + 0 + 9/2*s**2. Solve x(d) = 0 for d.
-1, 3/7
Let s(t) = -t + 6. Let l be s(9). Let p be (5 - 6)/(1/l). Determine q, given that 34*q**3 - 4*q - 4*q - 27*q**4 - 2*q + p*q**4 + 2*q**2 - 2 = 0.
-1/3, -1/4, 1
Let f(p) be the first derivative of 0*p**2 + 0*p + 1/9*p**6 - 4/15*p**5 + 8 + 0*p**3 + 1/6*p**4. Solve f(k) = 0 for k.
0, 1
Let o be (3 + 0 - -2) + -2. Let 6 + 6*c**o - 15*c**3 + 9*c + 6*c**3 = 0. What is c?
-1, 2
Let h(z) be the first derivative of -5*z**7/42 + z**6/3 - 5*z**4/6 + 5*z**3/6 + 44*z - 22. Let p(o) be the first derivative of h(o). Factor p(j).
-5*j*(j - 1)**3*(j + 1)
Factor 21*z**3 - 1462*z**2 + 1 + 27*z + 1507*z**2 + 3 - 1.
3*(z + 1)**2*(7*z + 1)
Determine u, given that -36/23 - 38/23*u - 2/23*u**2 = 0.
-18, -1
Factor 6*d - 100*d - 196 - 6*d**2 + 8*d**2.
2*(d - 49)*(d + 2)
Let c(y) be the first derivative of -y**5/12 + 5*y**4/12 - 5*y**3/6 - 5*y**2 + y - 34. Let f(p) be the second derivative of c(p). Factor f(j).
-5*(j - 1)**2
Find q, given that 482*q - 1358*q + 153*q**2 - 810 - 159*q - 85*q**3 - 618*q**2 - 5*q**4 = 0.
-9, -3, -2
Let z(q) be the first derivative of q**5 + 19 + 0*q + 5/2*q**2 + 5*q**3 + 15/4*q**4. Let z(y) = 0. What is y?
-1, 0
Factor 99*h**3 - 18*h + 31*h**2 + 18*h**2 - 15*h**4 + 8*h**2 - 123*h**3.
-3*h*(h - 1)*(h + 3)*(5*h - 2)
Let z(q) be the first derivative of q**8/1960 + q**7/245 + q**6/105 + 14*q**3/3 + 24. Let k(m) be the third derivative of z(m). Factor k(h).
6*h**2*(h + 2)**2/7
Let c(h) be the first derivative of 2 - 4*h - 1/12*h**3 + h**2. Factor c(a).
-(a - 4)**2/4
Factor 1568/11 + 2/11*x**2 + 112/11*x.
2*(x + 28)**2/11
Let l(y) = -y**3 - y**2 - y - 1. Let d(h) = 12*h**3 - 16*h**2 + 62*h - 14. Let v(g) = 2*d(g) + 22*l(g). Let v(m) = 0. What is m?
1, 25
Suppose 0 + 1/7*j**4 + 4/7*j**3 - 12/7*j**2 + 0*j = 0. Calculate j.
-6, 0, 2
Suppose 0 = -52*c + 57*c - 50. Suppose -c*j + 350*j**4 - 234*j**2 + 5*j - 55*j - 155*j**3 + 125*j**5 - 26*j**2 = 0. What is j?
-3, -2/5, 0, 1
Let u = -9/20 + 303/140. Factor 26/7*h + u - 10/7*h**2.
-2*(h - 3)*(5*h + 2)/7
Let s(i) = 2*i**3. Let y(t) = -9*t**3 + 7. Let u(m) = -4*m**3 + 3. Suppose -5 = v - 8. Let w(o) = v*y(o) - 7*u(o). Let k(g) = 2*s(g) - 2*w(g). Factor k(l).
2*l**3
Let c = -493 + 989/2. Let i = -213 + 861/4. Factor -c*j - 3/4*j**2 + 0 + i*j**3.
3*j*(j - 1)*(3*j + 2)/4
Let p(f) = 3 - f**2 - 6*f + 39*f - 15*f. Let n be p(18). Let 10/9*t**4 + 0 + 16/9*t**n + 2/9*t**5 + 0*t + 8/9*t**2 = 0. Calculate t.
-2, -1, 0
Let z(u) be the third derivative of -u**6/300 - 2*u**5/25 - 8*u**4/15 - 924*u**2. Factor z(s).
-2*s*(s + 4)*(s + 8)/5
Let x = -149 - -152. Let n(b) be the first derivative of -4 - 1/12*b**6 + 0*b**x + 0*b + 1/8*b**4 + 0*b**2 + 0*b**5. Factor n(i).
-i**3*(i - 1)*(i + 1)/2
Factor -65856*u - u**4 - 4802*u**2 - 341*u**3 + 4*u**4 + 89*u**3 + 11858*u**2.
3*u*(u - 28)**3
Let g(t) be the second derivative of -t**7/5040 + t**6/720 - t**5/360 - 7*t**3/3 + 9*t. Let m(u) be the second derivative of g(u). What is j in m(j) = 0?
0, 1, 2
Let j(f) be the third derivative of f**5/30 + f**4/4 - 4*f**3/3 + 30*f**2 + f. Determine x so that j(x) = 0.
-4, 1
Let u = -3734 - -3737. Let t = -47/2 + 24. Suppose 0 - 3/2*l**u + 0*l - 1/2*l**2 + t*l**4 + 3/2*l**5 = 0. What is l?
-1, -1/3, 0, 1
Let s be (-8)/(-10) + (-1 - (-34)/20). Let h(c) be the second derivative of -s*c**2 + 1/4*c**4 + 4*c + 0*c**3 + 0. Factor h(l).
3*(l - 1)*(l + 1)
Factor 17*j**2 - 156*j**5 - j + 24*j + 19*j**2 + 6*j**3 + 155*j**5 - 4*j**4 + 4*j.
-j*(j - 3)*(j + 1)*(j + 3)**2
Let g be 12*(-4)/10*5/(-6). Determine x so that x**g + 8*x + 20*x**2 + 5*x**4 - 3*x**4 + 16*x**3 + x**4 = 0.
-2, -1, 0
Let u be (-295)/(-50) + (-7)/(-168)*12. Factor u*n**2 + 4/5 + 28/5*n**3 + 2/5*n**5 + 12/5*n**4 + 18/5*n.
2*(n + 1)**4*(n + 2)/5
Let b be 14/(20/(-15)*3/(-2)). Factor -4*o**3 + 4*o - 25 + 12 - b + 20*o**2.
-4*(o - 5)*(o - 1)*(o + 1)
Let i be (264/(-352))/(15/(-12)). Let -6/5 + 12/5*u**2 - 3/5*u - 6/5*u**4 - i*u**5 + 6/5*u**3 = 0. What is u?
-2, -1, 1
Let o(u) be the first derivative of -3/2*u**2 + 3/4*u**4 - 2*u**3 + 6*u + 8. Determine a so that o(a) = 0.
-1, 1, 2
Let g = -170 + 137. Let j = g + 36. Find i such that 4/7*i + 0 + 2/7*i**j + 6/7*i**2 = 0.
-2, -1, 0
Suppose 421*t - 427*t + 18 = 0. Let o(c) be the second derivative of -1/80*c**5 - c + 1/16*c**4 - 1/120*c**6 - 1/4*c**2 + 1/24*c**t + 0. Factor o(i).
-(i - 1)**2*(i + 1)*(i + 2)/4
Let z(t) be the first derivative of 9/35*t**5 + 11 - 6/7*t**3 - 2/21*t**4 + 4/7*t**2 + 2*t. Let a(f) be the first derivative of z(f). Factor a(u).
4*(u - 1)*(u + 1)*(9*u - 2)/7
Let p be 5/3*(-333)/(-185). Let y(a) be the third derivative of 0*a + 0 - 1/120*a**5 - 1/48*a**4 + 0*a**p + 7*a**2. Factor y(o).
-o*(o + 1)/2
Let j be ((-8)/204)/(4/(-6)). Let g = 31/51 + j. Factor 0 + g*r + 2/9*r**2.
2*r*(r + 3)/9
Let z(a) be the third derivative of a**5/20 - 7*a**4/24 + a**3/3 + a**2 - 29. Find w, given that z(w) = 0.
1/3, 2
Let y be 0/(-3 - -3 - -4). Let v(o) be the second derivative of 1/80*o**5 + y*o**3 + 4*o - 1/24*o**4 + 0*o**2 + 0. Factor v(x).
x**2*(x - 2)/4
Factor 0 - 1/2*n - 1/2*n**2.
-n*(n + 1)/2
Let l(q) = -5*q**5 + 5*q**4 - 3*q**3 - 5*q**2 - 8*q. Let t(x) = -3*x**5 + 3*x**4 - 2*x**3 - 3*x**2 - 5*x. Let f(u) = 5*l(u) - 8*t(u). Factor f(g).
-g**2*(g - 1)**2*(g + 1)
Let d(t) = -t + 3. Let o be d(0). Let -9 - y**3 - y**3 - 24*y - 22*y**2 - y**4 - 2*y**3 - 4*y**o = 0. Calculate y.
-3, -1
Let w(y) = -23*y**3 + 379*y**2 - 126*y. Let t(a) = -12*a**3 + 189*a**2 - 63*a. Let v(l) = 5*t(l) - 3*w(l). Determine z, given that v(z) = 0.
0, 1/3, 21
Suppose -133 = -m - 4*i - 148, -5*m - 3*i = -10. Factor -6/7*n**4 + 12/7*n**3 - 6/7*n**m - 6/7 - 6/7*n + 12/7*n**2.
-6*(n - 1)**2*(n + 1)**3/7
Let g be 18 + (2 - 6) + 6. Let i = g - 16. Find d, given that -d**i + 38*d - 38*d = 0.
0
Let n(h) be the third derivative of 11*h**8/1008 - 2*h**7/63 - h**6/24 + h**5/9 + h**4/18 - 102*h**2. Suppose n(j) = 0. Calculate j.
-1, -2/11, 0, 1, 2
Let s be 18/16*2/(-3)*32/(-12). Factor 0*h + 0 - 1/3*h**3 - 1/6*h**s - 1/6*h**4.
-h**2*(h + 1)**2/6
Suppose -4*m + 8 = j, 0 = j - 6*j + 4*m - 8. Suppose -y = -4*o + 8, j = 2*o + y + 1 - 5. Factor 2*v**4 - 6*v**o - 2*v**3 - 1 + 3 + 2 + 2*v.
2*(v - 2)*(v - 1)*(v + 1)**2
Suppose -11 - 25 = -4*i. Let h be 3/i + 126/27. Let 4*l**5 + 3*l**3 + 6*l**4 - 5*l**h + 4*l**5 = 0. Calculate l.
-1, 0
Let v(c) = 6*c**2 - 3*c + 2. Let i be v(1). Suppose 2*k + 50 = i*j, 0 = j + k - 5*k - 28. Solve 5*f - j - 6*f + 4*f**3 - 11*f = 0.
-1, 2
Let k = -42 - -60. Factor 3*j**5 + j**5 - 6*j**5 + 13*j**4 - j**4 - k*j**3.
-2*j**3*(j - 3)**2
Suppose -64*x + 61*x - r = -11, -5*x - 2*r = -18. Let b = -211 - -1485/7. Find v such that 8/7*v**x + b + 12/7*v**3 - 16/7*v**2 - 12/7*v = 0.
-2, -1, 1/2, 1
Suppose -2*d = -4*v + 2*v, -4*v + 3*d = 0. Let s(y) be the third derivative of 0*y - 1/60*y**4 + 2*y**2 + 0*y**3 + 1/150*y**5 + v. Factor s(c).
2*c*(c - 1)/5
Let r(t) be the second derivative of -t**6/120 + t**5/8 - t**4/6 - 5*t**3/12 + 9*t**2/8 - 139*t. Let r(d) = 0. What is d?
-1, 1, 9
Let y be (-1)/(-2) - ((-70)/(-30) - 2). Find x, given that y*x**2 + 0 + 0*x + 1/6*x**3 = 0.
-1, 0
Let p = -180 + 185. Suppose 7*i - 3*i - 20 = 0. Solve 3*f**3 + 0*f**p - 4*f + i*f**3 - 4*f**5 = 0.
-1, 0, 1
Suppose 6 = 3*g, -c - g + 40 = -4. Let h = 87/2 - c. Factor -9/4*x - h + 9/4*x**3 + 3/2*x**2.
3*(x - 1)*(x + 1)*(3*x + 2)/4
Let t be (-150)/675 - ((-69)/27 - 1). Find i such that -4/3*i - 14*i**3 - t*i**5 - 34/3*i**4 + 0 - 22/3*i**2 = 0.
-1, -2/5, 0
Let s(j) be the first derivative of -3*j**5/20 - 3*j**4/2 - 9*j**3/2 - 6*j**2 + 16*j + 4. Let l(d) be the first derivative of s(d). Factor l(o).
-3*(o + 1)**2*(o + 4)
Factor -16/5 - 14/5*r**2 - 28/5*r - 2/5*r**3.
-2*(r + 1)*(r + 2)*(r + 4)/5
Let t be 224/(-20) + 4 - 2*-4. Factor 0 + t*o + 4/5*o**2.
4*o*(o + 1)/5
Factor -22/3*g**3 + 70/3*g**2 + 2/3*g**4 + 0 - 50/3*g.
2*g*(g - 5)**2*(g - 1)/3
Let g(k) be the second derivative of k**6/40 + 3*k**5/20 - 2*k**3 + 7*k**2 - 23*k. Let t(i) be the first derivative of g(i). Let t(x) = 0. What is x?
-2, 1
Let d(k) = 9*k**3 + 151*k**2 + 290*k + 153. Let q(t) = -28*t**3 - 452*t**2 - 868*t -