en that 3*z**3 - 37*z**3 - 22*z - 9*z**2 + 51*z**2 - 230 + a*z**4 + 234 = 0.
2/5, 1
Let u(b) be the third derivative of b**8/30240 + b**7/2268 - b**4/6 + 13*b**2. Let r(t) be the second derivative of u(t). What is f in r(f) = 0?
-5, 0
Let l(w) be the first derivative of 0*w + 2/51*w**3 - 1/34*w**4 - 2/85*w**5 + 4 + 1/17*w**2. Determine m so that l(m) = 0.
-1, 0, 1
Let y(b) = b**3 + 2*b**2 + 52. Let u be y(0). Determine l, given that -25 - 25*l - 15*l + 71*l**2 - u*l**2 - 2*l**3 = 0.
-1/2, 5
Let g(j) = 3*j**2 - 8*j + 7. Let k(p) = -6*p**2 + 9*p**2 - 17*p + 4*p**2 + 13. Let y(u) = 5*g(u) - 2*k(u). Factor y(w).
(w - 3)**2
Let a(j) be the second derivative of -j**4/36 - 7*j**3/3 - 41*j**2/6 - 632*j. Find y such that a(y) = 0.
-41, -1
Let q = 26 - 26. Factor -r**2 + 3*r**2 - 2*r**4 + q*r**4.
-2*r**2*(r - 1)*(r + 1)
Let g(o) be the third derivative of -o**7/6 + 17*o**6/8 - 21*o**5/2 + 145*o**4/6 - 20*o**3 - 3*o**2 - 15. Let g(q) = 0. What is q?
2/7, 2, 3
Let m(b) be the second derivative of b**4/2 + b**3/3 - 2*b**2 + 69*b. Factor m(v).
2*(v + 1)*(3*v - 2)
Let h be (-2 - -3)*(-12)/1. Let n be ((-9)/2)/(h/8). Factor -4*t**3 + 2*t**5 + 8*t**4 - n*t**5 - 3*t**5.
-4*t**3*(t - 1)**2
Let z be (-4)/8*(8/8 + -1). What is p in 0*p**2 + z + 2/11*p**3 - 8/11*p = 0?
-2, 0, 2
Let g = -98 - -105. Let z(o) be the third derivative of 0 + 1/15*o**6 - 1/105*o**g - 1/10*o**5 - 5*o**2 - 1/3*o**4 + 0*o + 4/3*o**3. Factor z(y).
-2*(y - 2)**2*(y - 1)*(y + 1)
Let g(x) be the first derivative of -2*x - 1 - 1/6*x**2 + 1/36*x**3 + 1/72*x**4. Let y(r) be the first derivative of g(r). Factor y(m).
(m - 1)*(m + 2)/6
Suppose 2*r + 3*i - 2616 = -i, 5205 = 4*r - i. Suppose 8*c**2 + 3*c + r*c**3 + 4*c**4 - 1290*c**3 - 3*c = 0. Calculate c.
-2, -1, 0
Determine d, given that 2/11*d**3 + 0 - 4/11*d + 2/11*d**2 = 0.
-2, 0, 1
Let k = -21 - 7. Let j = -29 - k. Let t(i) = -4*i**2 - 6*i + 9. Let r(o) = -o**2. Let x(q) = j*t(q) + 5*r(q). Factor x(p).
-(p - 3)**2
Let y(s) be the second derivative of -s**6/90 + 2*s**5/15 - 23*s**4/36 + 14*s**3/9 - 2*s**2 - 2*s + 45. Determine a, given that y(a) = 0.
1, 2, 3
Let k(o) = -o**3 - o - 1. Let l(a) = -a**2 + 10*a - 10. Let b be l(9). Let c(x) = -7*x**3 - 3*x**2 + 14*x - 7. Let h(p) = b*k(p) + c(p). Factor h(q).
-3*(q - 1)*(q + 2)*(2*q - 1)
Suppose -3*q - 41 = -41. Let b(w) be the second derivative of 0*w**2 + 1/15*w**3 + 1/50*w**5 + 1/15*w**4 + 3*w + q. Factor b(l).
2*l*(l + 1)**2/5
Let h(t) = 5*t + 76. Let z be h(-14). Factor 165*d**2 - 247*d - 4*d**4 + 80 + 47*d + 3*d**4 + z*d**4 - 50*d**3.
5*(d - 4)**2*(d - 1)**2
Suppose 20*r - 19*r = 0. Suppose r = 5*q - 6 - 14. Let q - 12*z - 2 + 6 + 4*z**2 = 0. What is z?
1, 2
Let c(i) = -617 + 2*i**2 - 2*i + 609 + 12*i. Let r be c(-6). Factor -1/2*d**2 + 0 - d + d**3 + 1/2*d**r.
d*(d - 1)*(d + 1)*(d + 2)/2
Let d(o) be the second derivative of -o**8/560 + o**7/140 - o**6/120 - 2*o**3/3 + 4*o. Let c(u) be the second derivative of d(u). Factor c(a).
-3*a**2*(a - 1)**2
Let w(x) be the first derivative of 3/4*x**4 + 0*x**2 - 1 + 3*x**3 - 12*x. Factor w(n).
3*(n - 1)*(n + 2)**2
Let s(b) = -3*b**4 + 38*b**3 - 108*b**2 + 106*b - 37. Let k(y) = -y**4 + y**3 - y. Let l(d) = 4*k(d) - s(d). Factor l(r).
-(r - 1)**3*(r + 37)
Determine u, given that 1/5*u**4 - 3 - 42/5*u**2 + 12/5*u**3 + 44/5*u = 0.
-15, 1
Let u(q) be the third derivative of -q**7/1260 - q**4/8 - 24*q**2. Let l(m) be the second derivative of u(m). Find c such that l(c) = 0.
0
Let b = -24 - -32. Let l be 4/b*0 + 6. Factor z**2 - 6*z - 6*z**2 + 2*z**2 + l*z**2 + 3.
3*(z - 1)**2
Suppose -608*a**4 - 164*a**3 - 85*a - 216*a**3 + 568*a**2 - 40*a + 244*a + 40 + 64*a**5 + 197*a = 0. Calculate a.
-1, -1/4, 1, 10
Let h(r) = r**2 + 58*r + 165. Let s be h(-3). Suppose 2*o + 2*o + 4*c = 0, o - 6 = 5*c. Factor 5*q**4 + s*q**2 - o - 3/2*q**5 - 5*q**3 + 5/2*q.
-(q - 1)**4*(3*q + 2)/2
Let i = -63300 - -504637/8. Let s = -220 - i. Determine v so that -3/8*v + s*v**2 + 0 = 0.
0, 1
Let v(o) = 13*o**2 + 7*o + 9. Let t(r) = -18*r**2 - 10*r - 13. Let y(p) = -5*t(p) - 7*v(p). Suppose y(a) = 0. What is a?
-1, 2
Solve -2/7*g**4 + 0 + 2/7*g**2 + 2/21*g**5 - 4/21*g + 2/21*g**3 = 0 for g.
-1, 0, 1, 2
Factor -5*q - 5*q**5 + 1298 + 10*q**3 - 5*q**4 + 10*q**2 - 1303 + 0*q**5.
-5*(q - 1)**2*(q + 1)**3
Let -2*p**3 - 23/3*p**2 - 20/3*p + 4/3 = 0. What is p?
-2, 1/6
Factor -2/3*k + 0 - 6/5*k**2 + 2/15*k**4 - 2/5*k**3.
2*k*(k - 5)*(k + 1)**2/15
Let c(b) = -b + 17. Let r be c(15). Suppose -3*a + 8 = a. Find n such that -2 + r + n**2 + 2*n**a = 0.
0
Let o = 12 + -7. Suppose -5*z = -i + 31, o*i - 3*z - 95 = 2*z. Find n such that i*n**2 + n + 3*n**4 - 4*n**3 - 19*n**4 + 3*n = 0.
-1, -1/4, 0, 1
Let k(h) = -45*h**2 + 18*h. Let o(b) = -2*b**2 + 3*b + 2. Let j(r) = -k(r) + 21*o(r). Suppose j(t) = 0. What is t?
-14, -1
Let q(f) be the second derivative of 1/160*f**5 + 0 + 0*f**2 - 1/24*f**3 + 38*f - 1/96*f**4. Factor q(p).
p*(p - 2)*(p + 1)/8
Let a = 53 - 36. Suppose q - 23 - a = -2*d, 0 = -5*q. Factor -125*j**3 - d + 280*j + 20 - 60 - 275*j**2.
-5*(j + 3)*(5*j - 2)**2
Let r(g) be the first derivative of -2*g**5/95 + 4*g**3/57 - 2*g/19 - 36. Solve r(l) = 0 for l.
-1, 1
Let u = -108/11 + 465/44. Let p(w) be the first derivative of 1/4*w**3 - u*w - 2 + 0*w**2. Factor p(j).
3*(j - 1)*(j + 1)/4
Let j be (-5)/2*16/20. Let f be j + 0 + 3 + -1. Factor f*p - 2/3*p**2 + 2/9*p**3 + 0.
2*p**2*(p - 3)/9
What is a in -1800/13 - 2/13*a**2 - 120/13*a = 0?
-30
Factor -1/3*d**2 - 2/3 - d.
-(d + 1)*(d + 2)/3
Suppose 0 = -3*a + 3*h + 21, -19 = -5*a - 3*h - 0*h. Find m, given that 5 + 205*m**2 - 3*m**3 - a - 211*m**2 = 0.
-2, 0
Let n(v) be the first derivative of v**4/4 - v**2/2 + 178. Factor n(x).
x*(x - 1)*(x + 1)
Let h = -9 - -12. Suppose -35 = -6*a + a. What is k in 2*k**2 - a - 4*k**h + 2*k**4 + 7 = 0?
0, 1
Let l(n) be the second derivative of n**7/273 + n**6/65 + 3*n**5/130 + n**4/78 + 85*n. Find y, given that l(y) = 0.
-1, 0
Let i(k) = 6*k**3 + 18*k**2 - 90*k + 105. Let y(u) = u**3 + u**2 + 2*u - 1. Let h(s) = -i(s) + 3*y(s). Factor h(a).
-3*(a - 2)**2*(a + 9)
Let j(d) = -4*d + 19. Let i be j(-4). Let m be ((-1)/i)/(1/(-5)). Factor 2/7*z - m*z**4 + 1/7 - 2/7*z**3 + 0*z**2.
-(z - 1)*(z + 1)**3/7
Let i(h) be the second derivative of h**3/6 + 3*h**2/2 + 97*h. Let m be i(-1). Suppose -3*p - 3 - 3/4*p**m = 0. What is p?
-2
Suppose 0*s + 2*s - 8 = 0. Factor -9*k**4 + 6*k**3 + 7*k**4 + 4*k**s + 4*k**2.
2*k**2*(k + 1)*(k + 2)
Let g(b) be the third derivative of 11*b**6/30 - 7*b**5/10 - b**4/12 + 2*b**2 - 25. Let g(f) = 0. Calculate f.
-1/22, 0, 1
Let y(c) be the first derivative of -2*c**2 + 0*c - 9 - 4/3*c**3. Factor y(o).
-4*o*(o + 1)
Let b be -3 - (4/1 + (-1343)/171). Let y = -12/19 + b. Factor -20/9*p + y*p**2 + 50/9.
2*(p - 5)**2/9
Factor 1/5*d**4 - 8/5 - 11/5*d**2 + 18/5*d + 0*d**3.
(d - 2)*(d - 1)**2*(d + 4)/5
Let b(d) be the second derivative of -d**4/30 + 7*d**3/15 + 78*d**2/5 + 94*d. Factor b(o).
-2*(o - 13)*(o + 6)/5
Let c(o) be the third derivative of -o**8/112 + o**7/5 - 73*o**6/40 + 44*o**5/5 - 49*o**4/2 + 40*o**3 + 500*o**2 - 1. Find b, given that c(b) = 0.
1, 2, 4, 5
Suppose -7 = -5*r + 3. Let u be (-329)/(-28) + (-1)/(-4). Factor -3*k**3 + 12*k**r - 3*k**4 - u*k**2.
-3*k**3*(k + 1)
Let t(v) = -31 + 30 + v + 0*v. Let g(a) = 6*a**2 - 14*a - 2. Let d(r) = -r - 5. Let l be d(-6). Let z(w) = l*g(w) + 6*t(w). Factor z(f).
2*(f - 2)*(3*f + 2)
Let h(g) be the third derivative of g**6/60 + 4*g**5/15 - 5*g**4/3 - 130*g**2. Let h(v) = 0. What is v?
-10, 0, 2
Suppose 4*i + 2*s - 12 = 0, 5*s + 2908 = -3*i + 2917. Factor -1/2*a**2 + 1/4*a**i - 1/4*a + 1/2.
(a - 2)*(a - 1)*(a + 1)/4
Suppose -15 = 5*j, -6*l + 18 = -5*l - 5*j. Find d, given that -1/4*d**l + 3/4*d**2 - 3/4 + 1/4*d = 0.
-1, 1, 3
Let p = 19657/27 + -728. Let f(w) be the second derivative of 0 + 5*w + 0*w**2 - 1/90*w**5 + 0*w**3 + p*w**4 - 1/45*w**6. Let f(q) = 0. Calculate q.
-1, 0, 2/3
Determine z, given that 13/5*z**2 - 1/5*z**3 + 15 - 11*z = 0.
3, 5
Let u(m) = m**3 - m + 2. Let g(c) = 8. Let f(l) = g(l) - 4*u(l). Suppose f(i) = 0. Calculate i.
-1, 0, 1
Let g be (-6 + -2)/24*20/(-15). Suppose -g*d**2 + 0 - 2/3*d = 0. Calculate d.
-3/2, 0
Let u(z) be the second derivative of z**4/90 - 2*z**3/9 + 69*z. Find l such that u(l) = 0.
0, 10
Determine y, given t