 be g(-4). Find j such that 31*j**2 + 31*j**2 - b*j**2 = 0.
0
Let g(q) = -3*q**2 - 24*q - 64. Let v(j) = -5*j**2 - 25*j - 65. Let l(c) = -5*g(c) + 4*v(c). What is u in l(u) = 0?
-2, 6
Factor -144*k + 5136 - 224*k**2 - 10281 + 5145 - 12*k**3.
-4*k*(k + 18)*(3*k + 2)
Let o(z) be the third derivative of z**5/240 - z**4/32 - 35*z**3/12 + 29*z**2 - 6. Let o(t) = 0. Calculate t.
-7, 10
Let o(q) = -10*q**4 - 114*q**3 - 237*q**2 - 140*q. Let r(j) = 5*j**4 + 58*j**3 + 119*j**2 + 70*j. Let m(d) = -4*o(d) - 7*r(d). Factor m(a).
5*a*(a + 1)*(a + 2)*(a + 7)
Suppose 3*w = -4*d + 4, w = 2*d - 4*d. Factor 7*b - 2*b**3 - 6*b**3 + b + 4 - 12*b**4 + 8*b**w.
-4*(b - 1)*(b + 1)**3
Let r(t) = -4*t**3 - 15*t**2 + 8*t + 22. Let z(d) = -d**3 - 5*d**2 + 3*d + 7. Let u(i) = -2*r(i) + 7*z(i). Let j be u(3). Factor -3/2 - 1/2*v**j - 2*v.
-(v + 1)*(v + 3)/2
Let b(k) be the second derivative of k**6/75 - 7*k**5/25 + 8*k**4/5 - 6*k**3/5 - 81*k**2/5 + 2*k - 6. Let b(n) = 0. What is n?
-1, 3, 9
Let f(j) = 2*j - 7. Let o be f(3). Let z be o/((-10)/12)*30/27. Determine k so that 0*k + 1/3*k**4 + z*k**2 - 4/3*k**3 + 0 = 0.
0, 2
Let k(p) be the first derivative of p**3/6 - 16*p**2 + 512*p - 652. Factor k(q).
(q - 32)**2/2
Let v be (-30)/(-9)*3/(-2). Let d be (v/(-4))/((-21)/(-84)). Solve -4*y - 2*y**2 + 11*y - 4*y - d*y = 0.
-1, 0
Let x = -74 - -78. Suppose -x*w = 3 - 15. Suppose -1/2*i + i**2 - 1/2*i**w + 0 = 0. Calculate i.
0, 1
Determine k so that k**4 + 1 - 2*k**5 - 10*k**4 - 40*k + 28*k**2 - 49 + 18*k**3 + 5*k**4 = 0.
-3, -2, -1, 2
Let t be 4/((-186)/248 + (-150)/(-8)). Let 2*d**3 - t*d**4 - 4 - 58/9*d**2 + 26/3*d = 0. Calculate d.
1, 2, 3
Suppose 8 + 34 = 21*p. Let h(o) be the third derivative of 0 + 2*o**p + 1/15*o**5 + 0*o - 4/3*o**3 - 1/6*o**4. Let h(t) = 0. What is t?
-1, 2
Solve -30*l**4 - 24*l**3 + 120*l**2 - 8*l**3 - 117*l + 5*l**5 - 43*l + 52*l**3 = 0.
-2, 0, 2, 4
Let s(c) = -c - 8. Let m be s(-10). Solve -5*g + 8*g**m - g - 8*g**4 + g + g + 4*g**3 = 0.
-1, 0, 1/2, 1
Let j(m) be the second derivative of -m**7/168 + m**6/10 + 61*m**5/80 + 13*m**4/12 - 5*m**3/2 - 8*m**2 + m + 65. Find l, given that j(l) = 0.
-2, -1, 1, 16
Let j(a) be the second derivative of -a**4/3 + 14*a**3 - 40*a**2 + 4*a + 11. Let j(k) = 0. Calculate k.
1, 20
Solve -246*f + 3*f**3 - 168 - 24976*f**2 + 0*f**3 + 24901*f**2 = 0.
-2, -1, 28
Suppose 3*c + 23 - 8 = 0. Let i be (-4)/(-8)*c*(-8)/50. Factor i - 4/5*s + 2/5*s**2.
2*(s - 1)**2/5
Let l(t) = -30*t**2 - 125*t - 35. Let x(p) = -5*p**2 - 21*p - 6. Let v(q) = -6*l(q) + 35*x(q). Factor v(c).
5*c*(c + 3)
Factor -4 - 1/5*s**2 - 12/5*s.
-(s + 2)*(s + 10)/5
Let x(j) be the second derivative of 8/7*j**2 + 2/35*j**5 - 1/21*j**4 + 6*j - 16/21*j**3 + 0. Factor x(o).
4*(o - 2)*(o + 2)*(2*o - 1)/7
Let r(q) be the second derivative of q**7/13860 - q**5/165 + 31*q**4/12 - 26*q. Let s(x) be the third derivative of r(x). Suppose s(c) = 0. Calculate c.
-2, 2
Let 64 - 1991*v**2 - 167*v + 7*v + 2123*v**2 + 4*v**4 - 40*v**3 = 0. What is v?
1, 4
Factor 85/2*y**2 + 124*y + 1/2*y**3 + 82.
(y + 1)*(y + 2)*(y + 82)/2
Let g(v) = -3*v + 23. Let w be g(9). Let h(y) = 4*y + 21. Let q be h(w). Factor -2/13*b**q - 6/13*b**4 - 6/13*b**3 + 0*b - 2/13*b**2 + 0.
-2*b**2*(b + 1)**3/13
Solve -98 - 180*o**2 - 37 - 270*o + 333*o**3 - 383*o**3 - 5*o**4 = 0.
-3, -1
Suppose 5*u = 5 + 10. Let v be (u - 1)*(-6)/(-4). Factor -4*m**2 - 8*m**v + 5*m**4 + 16*m + 16 - m**4 - 8*m**2.
4*(m - 2)**2*(m + 1)**2
Suppose 4*p = -8 + 24. Factor -4*q**3 + 5*q**3 - 3*q**5 - 4*q**4 + 4*q**2 + 2*q**2 - p*q**2.
-q**2*(q + 1)**2*(3*q - 2)
Find t, given that 60/11*t**2 + 0 - 2/11*t**3 - 450/11*t = 0.
0, 15
Determine y, given that 6/7*y**3 - 8/7*y**2 + 0*y + 0 + 2/7*y**4 = 0.
-4, 0, 1
Let x = 1956 + -1956. Solve 0*z - 1/8*z**5 + 0 + 0*z**2 + x*z**3 - 1/8*z**4 = 0.
-1, 0
Let r = 1105 + -1105. Suppose r + 2/11*u**2 + 0*u + 8/11*u**3 = 0. Calculate u.
-1/4, 0
Let p(v) = -4*v**4 - 14*v**3 + 24*v**2 + 20*v - 18. Let r(f) = -5*f**4 - 12*f**3 + 25*f**2 + 21*f - 17. Let t(a) = 6*p(a) - 4*r(a). Solve t(l) = 0 for l.
-10, -1, 1
Let o(t) = t**2 - 4*t - 3. Let k be o(5). Factor 0*h**2 - 9*h**2 + h**2 - 3*h + k*h**2 + 9*h**3.
3*h*(h - 1)*(3*h + 1)
Let n(i) be the second derivative of 0 - 3/4*i**4 + i**3 + 3/20*i**5 - 16*i + 0*i**2. Factor n(t).
3*t*(t - 2)*(t - 1)
Let g(l) = -2*l**3 + 5*l**2 + 5*l - 10. Let m be g(3). Let w be (-4 + (-14)/m)*-8. Determine k, given that -2 + 3/2*k**2 + 2*k**3 - 2*k + 1/2*k**w = 0.
-2, -1, 1
Suppose -2*o - 5 = -3*s, -o + 2*o - 8 = -2*s. Factor -5*t**2 + 5*t**2 - 2*t**2 + t**3 - s*t**3.
-2*t**2*(t + 1)
Let g be (-8)/((-272)/(-17))*2/(-2). Factor -g + z - 1/2*z**2.
-(z - 1)**2/2
Factor -70011*m**2 - 12 + 230*m - 125*m + 10368*m**2 - 1797*m.
-3*(141*m + 2)**2
Let x = -1015 + 1015. Suppose -4*v**4 + 24/7*v**5 + x - 8/7*v + 4*v**2 - 16/7*v**3 = 0. What is v?
-1, 0, 1/2, 2/3, 1
Let m = 1338 + -177972/133. Let i = 8/19 + m. Factor -2/7*x**4 + i*x**3 - 2/7*x + 2/7*x**2 + 0.
-2*x*(x - 1)**2*(x + 1)/7
Let c(m) be the third derivative of 0*m**4 + 37*m**2 - 1 + 1/420*m**6 + 0*m + 0*m**3 - 1/105*m**5. Factor c(v).
2*v**2*(v - 2)/7
Let x(i) = -i**2 - i + 1. Let j(t) = -22*t + 20. Let o(b) = -j(b) + 2*x(b). Find g such that o(g) = 0.
1, 9
Factor -4*n - 7874*n**2 + 12*n**3 + 0*n**5 - 4*n**3 - 4*n**5 + 7874*n**2.
-4*n*(n - 1)**2*(n + 1)**2
Let v = -3008/21 - -1005/7. Find q, given that 1/3 - v*q**2 + 1/3*q - 1/3*q**3 = 0.
-1, 1
Let s(d) = -d**2 + 7*d + 6. Let p be (-50)/(-8) - 6/24. Let c be s(p). Factor -3*l**2 - 1 + c*l + 4 - 12*l.
-3*(l - 1)*(l + 1)
Let u(x) be the second derivative of 0*x**2 + 0*x**4 + 0*x**3 + 0*x**5 + 0 + x + 3/10*x**6 - 1/14*x**7. Factor u(c).
-3*c**4*(c - 3)
Let v = 405 + 375. Let a be 6/(-10) + v/50. Solve 3 + 12*d**2 + 5*d**3 - 4*d**3 - 4*d**3 + 3 - a*d = 0.
1, 2
Let h be 0/(-3) - 14/(-1). Let l be (-32)/18 - (-28)/h. Factor -2/9*d**2 + l*d**3 + 0*d + 0.
2*d**2*(d - 1)/9
Let v(f) = -5*f**2 + 90*f + 100. Let b(p) = 3*p**2 - 45*p - 50. Let x(q) = -5*b(q) - 2*v(q). Factor x(k).
-5*(k - 10)*(k + 1)
Let q(x) = -3*x**2 + 3*x - 2. Let r be q(1). Let m be 108/(-30) - (r - 2). Determine p, given that -m*p**3 + 2/5*p - 2/5*p**2 + 2/5*p**4 + 0 = 0.
-1, 0, 1
Let b = 10 - -7. Suppose 5*g + a - b = 0, -2*g + 4*a + 24 = g. Factor -4*p**4 - 29 + 4*p**5 - 4*p**3 + g*p**2 + 29.
4*p**2*(p - 1)**2*(p + 1)
Let y(w) be the first derivative of w**4/36 - w**3/18 + 17*w + 2. Let a(m) be the first derivative of y(m). Factor a(r).
r*(r - 1)/3
Let p = -11726 + 11728. Suppose 1/3*u**3 + u - u**p - 1/3 = 0. What is u?
1
Let h(w) be the second derivative of -1/30*w**5 + 1/90*w**6 - 1/18*w**4 + 1/18*w**3 + 0 + 1/126*w**7 + 4*w + 1/6*w**2. Factor h(t).
(t - 1)**2*(t + 1)**3/3
Let y(z) = -z**2 - 8*z - 6. Let c be y(-6). Suppose -3*w + 48 - c = 0. Suppose 3*x + 3*x**2 - 14 + w = 0. What is x?
-1, 0
Let y(v) be the first derivative of v**3 - 9*v**2/2 + 6*v + 21. Solve y(j) = 0 for j.
1, 2
Let s(f) be the first derivative of 0*f**3 - 2*f**2 + 1/120*f**6 + 3 + 1/30*f**5 + 0*f + 1/24*f**4. Let g(x) be the second derivative of s(x). Factor g(k).
k*(k + 1)**2
Suppose 0*d + 1/3*d**3 + 0 - 28/3*d**2 = 0. Calculate d.
0, 28
Let s(y) = y**3 - 4*y**2 - 13*y + 10. Let x be s(6). Suppose 15 = -x*q + 5*v, -8 = -3*v + 1. Factor 0 - 1/3*d**4 + 2/3*d + q*d**3 + d**2.
-d*(d - 2)*(d + 1)**2/3
Factor 77 + 20*g**2 - 6*g**3 + 57 + 56*g - 134 + 2*g**3.
-4*g*(g - 7)*(g + 2)
Factor 73*y**2 + 49*y**2 - 4*y**3 - 37*y**2 - y**3.
-5*y**2*(y - 17)
Let p = -35 - -37. Factor -2*g + 12*g + 187*g**2 - 212*g**p.
-5*g*(5*g - 2)
Let n(o) = 4*o**4 + 114*o**3 - 475*o**2 - 600*o + 5. Let q(m) = 7*m**4 + 171*m**3 - 712*m**2 - 900*m + 8. Let v(w) = 8*n(w) - 5*q(w). Solve v(a) = 0.
-1, 0, 10
Let z(l) be the third derivative of -2*l**7/21 - 29*l**6/8 + 11*l**5/6 - 98*l**2. Find d such that z(d) = 0.
-22, 0, 1/4
Suppose 5*u + 14 = 3*f - 8, 0 = -5*u - 2*f - 2. Let x be u + (188/14 - 4). Factor 4*z**4 + 4/7 - 22/7*z + 48/7*z**2 - 6/7*z**5 - x*z**3.
-2*(z - 1)**4*(3*z - 2)/7
Let w(j) be the third derivative of 1/12*j**4 + 7/40*j**6 - 7*j**2 + 17/210*j**7 + 11/60*j**5 + 0*j + 0 + 5/336*j**8 + 0*j**3. Factor w(n).
n*(n + 1)**3*(5*n + 2)
Let k be (-1)/((-182)/(-108)) - 2/(-7). Let a = -3/52 - k. Factor 1/8*g**4 + 0*g - a*g**5 + 1/8*g**3 + 0 + 0*g**2.
-g**3*(g - 1