se n(g) = 0. What is g?
-8, -1, 0
Let j(p) = -p**2 - 4*p + 5. Suppose 0*i - 5*i - 15 = 0. Let h be i/1 + 8/1. Let z(s) = s - 1. Let k(g) = h*j(g) + 35*z(g). Factor k(r).
-5*(r - 2)*(r - 1)
Let b(x) be the first derivative of x**6/24 + x**5/12 - 5*x**4/24 - 5*x**3/6 - 11*x**2 + 12. Let z(w) be the second derivative of b(w). Factor z(u).
5*(u - 1)*(u + 1)**2
Let r(i) be the second derivative of 1/8*i**4 + 1/30*i**6 + 0 + 1/12*i**3 + 22*i - 1/8*i**5 - 1/4*i**2. Determine d, given that r(d) = 0.
-1/2, 1
Let z(o) be the second derivative of -27*o**5/100 - 4*o**4/5 - 7*o**3/10 + 128*o + 3. Factor z(l).
-3*l*(l + 1)*(9*l + 7)/5
Let x be (-2)/((1 + 0)/(-7)). What is i in -i + 15*i - x*i - 4 + i**2 = 0?
-2, 2
Let f(m) be the second derivative of 3*m**2 - 1/2*m**4 + 0 - 3/20*m**5 + 1/2*m**3 - 11*m. Factor f(o).
-3*(o - 1)*(o + 1)*(o + 2)
Suppose 4*o = 3*h - 10, -3*h - 8 = -2*o - 8*h. Let k be o/9 - (-46)/90. Suppose k*c**3 + 0 - 16/5*c**2 + 6/5*c**5 - 8/5*c + 16/5*c**4 = 0. Calculate c.
-2, -1, -2/3, 0, 1
Let z = -41 + 44. Let q be 2 - (3 + z/(-2)). Suppose -q*i + 0 + 1/2*i**2 = 0. Calculate i.
0, 1
Let j(l) be the second derivative of -9/11*l**2 + 5/66*l**4 + 1/11*l**3 + 1/110*l**5 + 0 + 16*l. Suppose j(u) = 0. Calculate u.
-3, 1
Factor 125*b - 48*b + 9 - 63*b**2 - 7*b + 116*b.
-3*(b - 3)*(21*b + 1)
Let g(u) be the third derivative of 0 + 3/20*u**5 - 1/20*u**6 + 1/6*u**4 + 0*u + 1/210*u**7 - 22*u**2 - 2*u**3. Factor g(z).
(z - 3)*(z - 2)**2*(z + 1)
Let r(u) be the third derivative of -u**8/896 + 67*u**7/560 - 1219*u**6/320 + 653*u**5/32 - 49*u**4 + 64*u**3 + 127*u**2. Factor r(o).
-3*(o - 32)**2*(o - 1)**3/8
Determine i, given that 125/3*i**2 + 0*i + 55/3*i**4 + 5/3*i**5 + 0 + 175/3*i**3 = 0.
-5, -1, 0
Let b = -35 - -37. Suppose 2*r - 3*r + 3*v + b = 0, -4*r - 2*v + 22 = 0. What is k in 0*k + 0*k**4 + 0 + 0*k**2 - 2/7*k**r + 0*k**3 = 0?
0
Let n = 1106/3 - 1102/3. Let o be (2/10)/(3/5). Solve -n*q - 5/3*q**2 + o = 0.
-1, 1/5
Let o = 81 - 85. Let c be (o + (-204)/(-30))/(12/10). Factor c*l**4 + 0 + 0*l + 4/3*l**2 + 16/3*l**3.
l**2*(l + 2)*(7*l + 2)/3
Suppose 5*s + x + 0*x = 10, -2*x = s - 2. Suppose 0*d**3 - 17*d - d**3 - 6*d**2 + 14*d + 10*d**s = 0. What is d?
0, 1, 3
Let y be (-1)/1*((-1)/(-1) - 2). Let o(s) = 2*s**3 + 2*s**2 - 3*s + 2. Let k be o(y). Let 0 + 0*r**2 + 1/7*r - 1/7*r**k = 0. Calculate r.
-1, 0, 1
Let h = 955/4938 + -22/823. Suppose h*y**2 - 1/3 - 1/6*y = 0. Calculate y.
-1, 2
Let b(o) be the third derivative of o**8/42 - 2*o**7/35 - o**6/6 + 13*o**5/15 - 3*o**4/2 + 4*o**3/3 - 21*o**2 + 1. Factor b(i).
4*(i - 1)**3*(i + 2)*(2*i - 1)
Let n(i) be the second derivative of i**7/105 + 3*i**6/25 + 14*i**5/25 + 6*i**4/5 + 16*i**3/15 - 139*i. Solve n(k) = 0.
-4, -2, -1, 0
Let p(f) be the first derivative of -f**3/3 - 24*f**2 - 576*f - 11. Suppose p(r) = 0. What is r?
-24
Let q = 2660 + -2656. Solve 1/7*y**q + 13/7*y**2 - 9/7*y**3 + 45/7*y - 50/7 = 0 for y.
-2, 1, 5
Let i(k) = -k + 4. Let c be i(0). Suppose c*u - 28 = -4*y, 5*u = -3*y + 3*u + 16. Solve y*t**4 - 2*t**3 + 7*t**4 + 8*t**3 + 0*t**3 = 0.
-2/3, 0
Let j(q) be the third derivative of -1/100*q**5 + 0*q**3 + 0 + 0*q + 3/40*q**4 - 12*q**2. Suppose j(d) = 0. Calculate d.
0, 3
Let n(x) be the second derivative of -3*x**5/20 - 12*x**4 - 137*x**3/2 - 135*x**2 + 2*x - 1. Determine u, given that n(u) = 0.
-45, -2, -1
Let q(x) = 5*x - 6. Let l be q(2). Factor 2*r**2 - 7*r**3 - 19*r**2 - r**5 - 7*r**l - 10*r**3 - 6*r.
-r*(r + 1)**2*(r + 2)*(r + 3)
Let f = -5891/42 + 562/3. Let i = f + -93/2. Factor 2/7*n**2 - 2/7*n**4 - i*n**3 + 0 + 4/7*n.
-2*n*(n - 1)*(n + 1)*(n + 2)/7
Let q(v) = 48*v - 155. Let o(l) = -17*l + 52. Let u(n) = 11*o(n) + 4*q(n). Let t be u(10). Solve 2/9*d**3 - 2/9*d**t + 2/9 - 2/9*d = 0.
-1, 1
Suppose 25*n - 28*n + 6*n = 0. Determine i, given that 3/2*i**2 + 3/2*i - 3/8*i**4 + n - 3/8*i**3 = 0.
-2, -1, 0, 2
Let o(p) be the second derivative of -3/8*p**4 + 0*p**3 + 3/40*p**5 + 0 - 7*p + 3*p**2. Factor o(z).
3*(z - 2)**2*(z + 1)/2
Suppose 2*d - 4*u - 6 = 14, 2*u = 0. Suppose d - 6 = 2*w. Factor 0*t**w + 1/4*t**5 + 0*t**3 + 0 + 0*t + 1/2*t**4.
t**4*(t + 2)/4
Let w(c) be the third derivative of c**5/690 + 19*c**4/138 + 361*c**3/69 + c**2 + 8. Solve w(t) = 0.
-19
Let u(v) be the second derivative of v**6/75 - 39*v**5/25 + 507*v**4/10 - 6*v + 1. Factor u(j).
2*j**2*(j - 39)**2/5
Let f be (-20)/(-3) - ((-403)/93 - -5). Factor o + f*o**3 + 9/2*o**2 + 5/2*o**4 + 0.
o*(o + 1)**2*(5*o + 2)/2
Let w(y) be the second derivative of -25/3*y**3 - 43*y - 15/2*y**2 - 3/2*y**5 - 5*y**4 - 1/6*y**6 + 0. Factor w(z).
-5*(z + 1)**3*(z + 3)
Let p = 347/170 - 46/85. Factor -p*t**2 - 5/2 - 9/2*t + 1/2*t**3.
(t - 5)*(t + 1)**2/2
Let z(p) = p**5 + p**4 - 6*p**3 + 5*p - 1. Let y(r) = -r**5 + 2*r**4 - r**2 + r - 1. Let f(l) = -2*y(l) - z(l). Factor f(v).
(v - 3)*(v - 1)**3*(v + 1)
Let m(o) = -17*o + 2. Let w be m(0). Let i(q) be the first derivative of -6 - 3/4*q**w - 1/6*q**3 + 0*q. Let i(k) = 0. What is k?
-3, 0
Factor 2/7*u**4 + 0 - 68/7*u**2 + 18/7*u**3 + 48/7*u.
2*u*(u - 2)*(u - 1)*(u + 12)/7
Let f(m) be the third derivative of m**6/280 - 3*m**5/140 + 3*m**4/56 - m**3/14 + 7*m**2 + 1. Factor f(n).
3*(n - 1)**3/7
Let z(p) be the second derivative of p**7/21 + 4*p**6/15 + 3*p**5/5 + 2*p**4/3 + p**3/3 - p - 4. Determine i so that z(i) = 0.
-1, 0
Let n(b) = -16*b**2 - 15*b**3 + 1 + 4 + 2*b**3 + 5*b. Let r(a) = 20*a**3 + 24*a**2 - 8*a - 8. Let c(f) = -8*n(f) - 5*r(f). Factor c(m).
4*m**2*(m + 2)
Let u(l) = -3*l + 6. Let y be u(5). Let x(t) = -t**3 - 10*t**2 - 10*t - 6. Let k be x(y). What is z in -3*z**2 + 3*z**k - 5*z**3 + 3 - 3*z + 5*z**3 = 0?
-1, 1
Find d such that -24 - 151*d + 304*d + 4*d**3 - 181*d = 0.
-2, -1, 3
Factor -5*p**2 + 86 + 11 - 19 - 115*p + 82 - 40*p.
-5*(p - 1)*(p + 32)
Let g be 1359/44847*(-11)/(-2). Let l be 1/6 + -2 + 2. Find f such that -1/6*f**3 - 1/6*f**2 + l*f + g = 0.
-1, 1
Determine y, given that -1/4*y**3 - 240*y - 61/4*y**2 - 225 = 0.
-30, -1
Let f(u) = 1. Let z(r) = 1. Let n(x) = 2*f(x) - z(x). Suppose 3 = -v - 0*v. Let j(s) = s**2 - s + 8. Let d(m) = v*j(m) + 24*n(m). Find t, given that d(t) = 0.
0, 1
Let r(n) be the second derivative of -6*n - 5/6*n**3 - 1/360*n**6 - 1/60*n**5 + 0*n**2 + 0 - 1/24*n**4. Let v(a) be the second derivative of r(a). Factor v(f).
-(f + 1)**2
Let l(c) be the third derivative of -c**7/70 - c**6/2 - 59*c**5/10 - 45*c**4/2 - 81*c**3/2 - 2*c**2 + 25*c. Factor l(v).
-3*(v + 1)**2*(v + 9)**2
Find f, given that 4*f**2 - 2/3*f**3 - 6*f + 0 = 0.
0, 3
Let x(t) be the third derivative of -t**6/300 + 13*t**5/50 - 169*t**4/20 + 2197*t**3/15 - 48*t**2 + 4. Factor x(m).
-2*(m - 13)**3/5
Factor -2/3*n**2 - 26/3*n - 28.
-2*(n + 6)*(n + 7)/3
Let v(t) be the third derivative of -t**6/24 - t**5/2 - 5*t**4/3 - 40*t**2. Determine p, given that v(p) = 0.
-4, -2, 0
Let m(k) = 3*k**3 - 36*k**2 - 2*k + 24. Let n be m(12). Factor 1/4*a**3 + 0 + 3/4*a**2 + n*a.
a**2*(a + 3)/4
Factor 0*j - 3/2*j**3 + 0 + 6*j**2.
-3*j**2*(j - 4)/2
Determine u, given that -20*u**3 - u**4 + 6*u + 25*u**2 - 16*u + 6*u**4 + 7 - 7 = 0.
0, 1, 2
Let p(i) = -3*i + 3. Let j(h) be the third derivative of h**6/120 + h**4/24 - h**3/6 + 7*h**2. Let f(a) = -3*j(a) - p(a). Factor f(m).
-3*m**3
Let a(c) = c**2 - 8*c + 6. Let p be a(5). Let s be ((-17)/4 - -4)*192/p. Find z, given that 2*z**3 + 4/3 + s*z**2 + 14/3*z = 0.
-1, -2/3
Suppose -4*n - 4*s + 49 = 9, -3*n + 3*s + 6 = 0. Suppose 3*h + 5*o = -4, -5*h + 13 = -5*o - 7. Factor 2*v**h - 9 - n*v**2 - 7*v + 19*v + v**2.
-3*(v - 3)*(v - 1)
Let l(b) be the third derivative of 1/96*b**6 + 16*b**2 - 1/120*b**7 + 0*b**4 + 0 + 0*b + 1/120*b**5 + 0*b**3. Factor l(y).
-y**2*(y - 1)*(7*y + 2)/4
Let z(d) be the third derivative of 2*d**7/105 - d**6/10 - d**5/15 + d**4/2 + 4*d**2 - d. Find u, given that z(u) = 0.
-1, 0, 1, 3
Let n be (1 + 0/1 + -2)*2. Let x be 1/(-5) - n/6. Determine t so that 0*t + 0 + x*t**2 + 2/15*t**3 = 0.
-1, 0
Suppose -4*q - 5*s = 13, -4*q = -6*q - 3*s - 9. Let p(a) be the second derivative of 10/3*a**q + 5/12*a**4 - 8*a + 0 + 15/2*a**2. Factor p(n).
5*(n + 1)*(n + 3)
Let r = -3584 - -17923/5. Solve 0*x + 0*x**2 - r*x**3 + 0 + 0*x**4 + 3/5*x**5 = 0 for x.
-1, 0, 1
Let g(u) be the first derivative of u**5/5 + 3*u**4/4 + 2*u**3/3 + 34. Let g(w) = 0. Wha