 n = p - -14. Solve 0 - 8*j**n + 0*j - 4/3*j**2 - 10/3*j**5 - 6*j**3 = 0.
-1, -2/5, 0
Let v(n) = -9*n**2 + 55*n - 59. Let o(b) = b**2 - 3*b - 1. Let c(z) = -5*o(z) - v(z). Factor c(p).
4*(p - 8)*(p - 2)
Let s(q) be the second derivative of q**5/140 + q**4/42 - q**3/14 + q - 17. Determine b so that s(b) = 0.
-3, 0, 1
Let h(f) be the third derivative of f**8/84 + 2*f**7/5 + 49*f**6/10 + 343*f**5/15 - 2*f**2 - 89. Factor h(t).
4*t**2*(t + 7)**3
Let t be (-4)/(-130) - 161148/(-35490). Factor t*w**3 + 16/7 - 24/7*w**4 + 4/7*w**5 - 36/7*w + 8/7*w**2.
4*(w - 4)*(w - 1)**3*(w + 1)/7
Let t(u) = 5*u**2 - 5*u + 0*u + 6 + 2*u**2. Let s(m) = -13*m**2 + 9*m - 11. Let k(c) = -6*s(c) - 11*t(c). Find r such that k(r) = 0.
-1, 0
Let f(s) be the first derivative of 28 + 0*s + 3/20*s**5 - 1/4*s**3 + 1/24*s**6 + 1/16*s**4 - 1/4*s**2. Factor f(c).
c*(c - 1)*(c + 1)**2*(c + 2)/4
Let z(x) be the first derivative of -4*x**3/9 - 12*x**2 - 60*x - 520. Factor z(v).
-4*(v + 3)*(v + 15)/3
Find v such that 20/3*v**2 - 40/3 + 92/3*v = 0.
-5, 2/5
Find m such that -1/7*m**3 - 12/7 - 20/7*m - 9/7*m**2 = 0.
-6, -2, -1
Suppose 0*u - 47 = -3*f + 5*u, 0 = -5*f + u + 71. Suppose f = 2*k - 4. Factor 4*t**2 - 24*t**4 + 4*t**2 + k*t**5 - 4*t**3 + 2*t + 9*t**5.
2*t*(t - 1)**2*(3*t + 1)**2
Let y(m) be the third derivative of -m**6/60 - m**5/30 + m**4/6 - 43*m**2. Suppose y(w) = 0. Calculate w.
-2, 0, 1
Let x = -6135 - -6137. Suppose -32/3*p**4 - 2/3*p**x - 2/3 - 4*p + 16*p**3 = 0. What is p?
-1/4, 1
Factor -29*p**3 + 8*p**4 - 14*p**3 + 17*p**3 - 201*p - 5*p**4 - 25*p**3 + 78 + 171*p**2.
3*(p - 13)*(p - 2)*(p - 1)**2
Let t(s) be the second derivative of -s**8/8400 - s**7/1400 - s**6/900 - 11*s**3/3 + 18*s. Let n(d) be the second derivative of t(d). Factor n(h).
-h**2*(h + 1)*(h + 2)/5
Factor 12*b**2 + 4/3*b**3 + 36*b + 36.
4*(b + 3)**3/3
Let q(m) be the second derivative of m**4/4 - 17*m**3 + 867*m**2/2 - 87*m. Factor q(b).
3*(b - 17)**2
Let s(v) be the first derivative of 4*v**3/3 + 46*v**2 + 168*v - 321. Determine f so that s(f) = 0.
-21, -2
Let x(l) be the third derivative of l**5/15 - 4*l**4 + 42*l**3 + 3*l**2 + 46*l. Let x(a) = 0. Calculate a.
3, 21
Let s(h) be the second derivative of h**4/60 + h**3/2 + 27*h**2/5 + 564*h. Find z, given that s(z) = 0.
-9, -6
Let n(b) = b**4 + b**3 - 2*b**2 + b. Let i(o) = -5*o**4 - 3*o**3 + 10*o**2 - 3*o - 2. Let x(s) = i(s) + 3*n(s). Factor x(z).
-2*(z - 1)**2*(z + 1)**2
Let n(a) be the third derivative of 0*a**6 + 0*a**5 + 0*a - 1/2016*a**8 + 4*a**2 + 0 + 1/630*a**7 + 0*a**3 + 0*a**4. Let n(j) = 0. What is j?
0, 2
Let h(u) = 10*u**3 - 4*u**2 - 2*u. Let t(v) = 3*v + 1841*v**3 - 2*v - 1840*v**3. Let d(f) = h(f) - 6*t(f). Suppose d(n) = 0. What is n?
-1, 0, 2
Factor 44/5*h**4 + 0 - 48/5*h**3 + 4*h**2 - 2/5*h - 14/5*h**5.
-2*h*(h - 1)**3*(7*h - 1)/5
Suppose a - 33 = -2*w + w, -4*w + 132 = 2*a. Let -w + 5*m**2 - 2*m - 33 + 7*m**3 + 66 = 0. Calculate m.
-1, 0, 2/7
Let j(u) be the second derivative of 0*u**2 - 1/60*u**4 - 3/100*u**5 - 1/50*u**6 - 15*u + 0*u**3 - 1/210*u**7 + 0. Factor j(i).
-i**2*(i + 1)**3/5
Let p be ((-6)/(-4))/(-3)*4 - -4. Suppose 2*u = -4*w + 32, 2 = 4*w - u - 18. Factor -12*t + w*t - 4 - t**p - 5.
-(t + 3)**2
Let q = -6395/7 + 915. What is b in -8/7 + q*b - 2/7*b**2 = 0?
1, 4
Let w(n) be the first derivative of n**6/21 - 2*n**4/7 - 4*n**3/21 + 3*n**2/7 + 4*n/7 + 13. Factor w(s).
2*(s - 2)*(s - 1)*(s + 1)**3/7
Let y be 1075/750 + (-2)/20. Factor -y - 2/3*d**2 + 2*d.
-2*(d - 2)*(d - 1)/3
Let y be (-17)/408*-210 - (-3)/(-1). Suppose y*z**4 + 35/4*z**2 - 1 + 23/2*z**3 + z**5 + z = 0. What is z?
-2, -1, 1/4
Let r(g) = 5*g**3 + 15*g**2 + 14*g. Let m(b) = 5*b**3 + 15*b**2 + 13*b. Let a(s) = -4*m(s) + 3*r(s). Factor a(y).
-5*y*(y + 1)*(y + 2)
Let k be (-5)/(-30) + 1556/24. Let r be -1 + (k/30 - 2/(-12)). Determine v so that -r*v**4 + 4/3*v**2 + 2*v**5 + 0*v + 0 - 2*v**3 = 0.
-1, 0, 2/3, 1
Let a(h) be the first derivative of 2*h**3/39 - 11*h**2/13 - 160*h/13 + 307. Factor a(j).
2*(j - 16)*(j + 5)/13
Let n = -5982 + 53842/9. Factor 0 - n*l - 2/9*l**2.
-2*l*(l + 2)/9
Let d be 23/598*0 - -1*2/6. Factor d*i**3 + 0 - 1/3*i**4 + 0*i + 0*i**2.
-i**3*(i - 1)/3
Let b(w) be the third derivative of -18/7*w**3 + 21*w**2 + 0*w + 0 - 3/14*w**4 - 1/140*w**5. Find a such that b(a) = 0.
-6
Let m be 40/35*7/2. Suppose -162 = m*y - 178. Factor 8/5*a + y*a**4 + 48/5*a**2 - 4/5 + 56/5*a**3.
4*(a + 1)**3*(5*a - 1)/5
Let a(c) = -c**3 + 9*c**2 - 5*c - 12. Let p be a(8). Let r be 4/p + (-22)/(-42). What is x in -r*x**3 + 3/7 + 9/7*x**4 - 12/7*x**2 + 0*x + 6/7*x**5 = 0?
-1, 1/2, 1
Let f = -350 + 1058/3. Solve -16/3*x**3 + 8/3*x**2 - 4/3*x**5 - 16/3*x**4 + f + 20/3*x = 0.
-2, -1, 1
Let f(m) = -8*m**2 + 4*m. Let z(x) = -17*x**2 + 8*x. Let q(d) = 3*d**2 + 4*d. Let v be q(3). Suppose 4*w - w + v = 0. Let c(l) = w*f(l) + 6*z(l). Factor c(a).
2*a*(a - 2)
Let w = 26 + -18. Factor k**2 - 12*k + 6*k**2 + w - k**2 - 2*k**2.
4*(k - 2)*(k - 1)
Let p(g) be the third derivative of g**6/360 + 91*g**5/90 + 1012*g**4/9 - 8464*g**3/9 - g**2 - 205*g. Factor p(b).
(b - 2)*(b + 92)**2/3
Factor 2/7*d**2 + 83232/7 + 816/7*d.
2*(d + 204)**2/7
Suppose 69/5*p - 3/5*p**4 + 3/5*p**3 + 6 + 9*p**2 = 0. Calculate p.
-2, -1, 5
Let f(p) = 2*p**2 + p - 15. Let o be f(0). Let i be 16/10 - 6/o. Let 6/5*a - 18/5 + 2/5*a**3 + i*a**2 = 0. Calculate a.
-3, 1
Let a(w) = w**4 + 4*w - 2*w + 1 - 2*w + w**3. Let n(o) = 3*o**4 + 2*o**3 - 2*o**2 + 3. Let j(u) = 2*a(u) - n(u). Let j(c) = 0. What is c?
-1, 1
Let n(w) = -w**3 + 6*w**2 + 3*w - 13. Let i be n(6). Let 4 + 0*m - 1302*m**2 + 1303*m**2 + i*m = 0. Calculate m.
-4, -1
Let y = -131/4 + 33. Suppose -6*f + 3*f = 5*s + 18, -30 = -16*s + 5*f. Factor s*i + 1 - y*i**2.
-(i - 2)*(i + 2)/4
Let c(p) be the first derivative of 2*p**5/85 - 2*p**3/51 - 59. Solve c(l) = 0.
-1, 0, 1
Let c = 40 - 34. Let u(i) = 10*i**2 - 13*i + 3. Let h(t) = -3*t**2 + 4*t - 1. Let y(j) = c*u(j) + 21*h(j). What is w in y(w) = 0?
1
Suppose -231*q = -236*q + y + 4, -4*q - 5*y = 20. What is n in 0*n + q + 24/7*n**2 - 6/7*n**3 = 0?
0, 4
Factor 55*i**2 - 10/3 + 155/3*i.
5*(i + 1)*(33*i - 2)/3
Let z = 1399/2 - 698. Solve z + 27*q**2 - 24*q**3 - 12*q + 15/2*q**4 = 0.
1/5, 1
Let y be (-12)/(1 - 3) - (40 - 36). Factor 193*z**4 - 243*z**4 - 30*z**y - 15*z**5 - 83*z**3 - 5*z + 23*z**3.
-5*z*(z + 1)**3*(3*z + 1)
Let c(j) be the third derivative of 0*j + 0 + 0*j**3 - 1/30*j**5 + 19*j**2 + 1/12*j**4. Factor c(o).
-2*o*(o - 1)
Let f be -2*((-9)/8)/3. Factor 3/4*x**2 + f*x - 3/2.
3*(x - 1)*(x + 2)/4
Let l = -1082/5 + 218. Let o(h) be the first derivative of -4/25*h**5 - h**4 + 0*h - 32/15*h**3 - l*h**2 - 6. Factor o(i).
-4*i*(i + 1)*(i + 2)**2/5
Factor 180/11*b - 186/11 + 6/11*b**2.
6*(b - 1)*(b + 31)/11
Let p(o) be the second derivative of 3/20*o**5 - 16*o + 1/2*o**4 + 0*o**2 + 0*o**3 + 0. Solve p(w) = 0 for w.
-2, 0
Let a(w) be the second derivative of w**7/42 - 2*w**6/15 + 3*w**5/10 - w**4/3 + w**3/6 - 191*w. Factor a(t).
t*(t - 1)**4
Let m(d) be the second derivative of -19*d - 1/36*d**4 + 5/36*d**3 + 1/2*d**2 - 1/120*d**5 + 0. Factor m(u).
-(u - 2)*(u + 1)*(u + 3)/6
Let s(z) be the third derivative of 2*z**2 + 0*z - 1/27*z**3 - 1/540*z**6 - 1/36*z**4 - 1/90*z**5 + 0. Solve s(l) = 0 for l.
-1
Let l(g) = g**2 + 15*g - 14. Let k be l(-16). Suppose -21 = -k*w - 3*d, 2*w - 4*d + 11 = -w. Find j, given that 7*j**2 - w*j**2 + j**4 - 5*j**4 = 0.
-1, 0, 1
Let q be -5 + (-94)/(-18) - 500/(-180). Let m(s) be the second derivative of 10*s + 0 - 3/4*s**2 + 1/2*s**q - 1/8*s**4. Factor m(i).
-3*(i - 1)**2/2
Suppose -24*d**2 + 4*d - 12*d**2 - 7 + 19 + 10*d**3 + 12*d - 2*d = 0. Calculate d.
-2/5, 1, 3
Let t(c) = 5*c - 1. Let j be t(1). Suppose z + j*z = 20. Let 2/3*q**z + 0 + 4/3*q**3 - 4/3*q - 2/3*q**2 = 0. What is q?
-2, -1, 0, 1
Suppose -3*f - 21 = -4*l, -3*l - l - 4*f = 0. Factor r**2 - 50 + 1504*r - l*r**2 - 1524*r.
-2*(r + 5)**2
Let r be (3/2)/((-39)/(-52)). Factor -2*z + 4 + 4*z**3 + 0 - 4*z**r - 2*z.
4*(z - 1)**2*(z + 1)
Suppose -6*c**2 + 39*c**3 - 12*c**2 - 42*c**3 = 0. What is c?
-6, 0
Let z(h) = -15*h**2 - 5. Let l(x) = -x**3 + 1. Suppose 0 = 3*u + 4*j + 4 + 3, -5*j = 3*u + 8. Let n(s) = u*z(s) - 5*l(s). Factor n(t).
5*t**2*(t + 3)
Let u(h) = -2*h - 7. Let x be u(-6). Let y be x + -1 - (-6)/(-3). Factor