1 + 2*y**2. Determine j, given that o(j) = 0.
-2, 1
Let i(c) be the second derivative of c**7/4200 - c**5/50 + c**4/3 + 9*c. Let u(m) be the third derivative of i(m). Solve u(a) = 0 for a.
-2, 2
Suppose 3*j - 118 - 122 = 0. Let w = j + -57. Let 4 - 33*x**2 - w*x**2 + 2*x + 0*x = 0. What is x?
-1/4, 2/7
Let d(p) = -4*p**4 + 10*p**3 - 12*p**2 + 8*p - 2. Let a(x) = -13*x**4 + 31*x**3 - 36*x**2 + 24*x - 6. Let f(b) = 2*a(b) - 7*d(b). Factor f(u).
2*(u - 1)**4
Let b(u) be the first derivative of -4*u**5/5 - 11*u**4 - 48*u**3 - 32*u**2 + 256*u - 8. Find w, given that b(w) = 0.
-4, 1
Let f(v) be the third derivative of -v**7/10080 + v**4/24 + v**2. Let q(i) be the second derivative of f(i). Determine h so that q(h) = 0.
0
Suppose 0 = -5*b + 2 + 8. Let r(a) be the second derivative of 1/3*a**3 + 0*a**b + 0 - 1/12*a**4 + a. Let r(z) = 0. What is z?
0, 2
Let s = -141 + 146. What is k in -1/5*k - 34/5*k**2 - 16*k**4 + s*k**5 + 88/5*k**3 + 2/5 = 0?
-1/5, 2/5, 1
Let n = -2 - -4. Factor 8*v**n - 5*v**2 - 2*v**2.
v**2
Let b be -147*(-4)/(-21 + 1). Let f = 159/5 + b. Factor -3*n**2 + f*n + 12/5 - 9/5*n**3.
-3*(n - 1)*(n + 2)*(3*n + 2)/5
Let k(s) = 76*s**2 - 352*s + 704. Let d(q) = -7*q**2 + 32*q - 64. Let p be (-34)/(-10) + 2/(-5). Let l(a) = p*k(a) + 32*d(a). Determine r so that l(r) = 0.
4
Let x(t) = -t**2 + 5*t - 4. Suppose -8 = -4*m + 8. Let j be x(m). Factor -2*c**2 + 4*c + 0*c**2 + j*c**2.
-2*c*(c - 2)
Let c = 5080 - 1864362/367. Let u = c + 1486/3303. Find j, given that u*j**3 + 2/9*j**4 + 0*j + 0 + 2/9*j**2 = 0.
-1, 0
Suppose 2 = 4*f - 2*v, v = f + 6*v + 5. Let l be (-28)/(-24)*(-4)/(-7). Factor 2/3*g**4 + f*g + 4/3*g**3 + l*g**2 + 0.
2*g**2*(g + 1)**2/3
Suppose 0 = 5*o - o - 16. Let u(n) be the first derivative of -n + n**2 + 4/3*n**3 - 3/5*n**5 - 1 - 1/2*n**o. Factor u(d).
-(d - 1)*(d + 1)**2*(3*d - 1)
Let m(p) be the second derivative of 3*p**2 + 0 + p - 1/4*p**4 + 1/2*p**3. Factor m(c).
-3*(c - 2)*(c + 1)
Let f(p) be the second derivative of -5*p**4/12 - 5*p**3/2 + 24*p. Suppose f(k) = 0. Calculate k.
-3, 0
Let j be (-6)/(-9) - 66/(-9). Suppose 3*x - j = -x. Factor -2/9*l**x + 0 + 2/9*l.
-2*l*(l - 1)/9
Let l(t) be the second derivative of 5*t**4/3 - 22*t**3/3 + 4*t**2 + 25*t. What is i in l(i) = 0?
1/5, 2
Let o(m) = 12*m**2 + m - 1. Let c be o(-2). Let h = c - 87/2. Factor 0 + 0*j - 3/2*j**4 + h*j**3 - 1/2*j**2 + 1/2*j**5.
j**2*(j - 1)**3/2
Factor 1/2*r**4 + 3/2*r**3 + 3/2*r**2 + 0 + 1/2*r.
r*(r + 1)**3/2
Let h(m) be the second derivative of -m**6/120 - m**5/20 + m**3 + 3*m. Let d(p) be the second derivative of h(p). Suppose d(l) = 0. What is l?
-2, 0
Let b(l) be the first derivative of -5*l**3/9 - 8*l**2/3 - l - 10. Factor b(o).
-(o + 3)*(5*o + 1)/3
Let i be 14/(-28)*(-1 - -1). Let b be (-3)/6*(-1 + i). Find u, given that -1/2*u**4 - u**3 + 0 - b*u**2 + 0*u = 0.
-1, 0
Find y, given that 4*y + 89*y**5 - y**3 + 4*y**3 + 8*y**2 - 2*y**4 - 177*y**5 + 87*y**5 = 0.
-2, -1, 0, 2
Suppose -4*y + 18 = 5*y. Let t(u) be the second derivative of -y*u - 1/12*u**4 + 0 + 0*u**2 + 1/6*u**3. Suppose t(d) = 0. Calculate d.
0, 1
Let o(v) = v**2 - 5*v - 2. Suppose -2*h - 2*h + 24 = 0. Let b be o(h). Factor -8/11*p + 0 + 50/11*p**b - 90/11*p**3 + 48/11*p**2.
2*p*(p - 1)*(5*p - 2)**2/11
Let s(f) = 5*f + 9. Let y be s(-1). Factor -2/3*w**2 - 2*w**3 + 0 - 5/6*w**y + 0*w.
-w**2*(w + 2)*(5*w + 2)/6
Let p(l) be the first derivative of 15/16*l**4 + 0*l + 3/2*l**2 + 6 + 3/20*l**5 + 2*l**3. Factor p(w).
3*w*(w + 1)*(w + 2)**2/4
Let h(g) = -g**3 - 6*g**2 + 7*g - 2. Let a be h(-7). Let x be a/3 + 16/6. Factor -x*j**2 + 0*j - 4*j - 3 + 1.
-2*(j + 1)**2
Factor -3*m + 0*m + 3*m + 3*m**2.
3*m**2
Let v(a) be the third derivative of -a**5/180 - a**4/12 - a**3/2 + 6*a**2. Factor v(j).
-(j + 3)**2/3
Let h(g) be the first derivative of -3 - 1/21*g**6 + 0*g**2 - 2/21*g**3 - 3/14*g**4 - 6/35*g**5 + 0*g. Factor h(n).
-2*n**2*(n + 1)**3/7
Let j(m) be the first derivative of -3/4*m**2 + 0*m - 1/4*m**3 + 2 + 9/16*m**4. Let j(l) = 0. What is l?
-2/3, 0, 1
Suppose -2*p + 6*p - 18 = -h, -5*h + 14 = p. Let x = p + -4. Solve x*u + 0 - 2/5*u**3 + 2/5*u**2 = 0 for u.
0, 1
Let c = -14 - -16. Let x(i) be the first derivative of -2/3*i + 0*i**c + 1 + 2/9*i**3. Find n such that x(n) = 0.
-1, 1
Let d(i) be the second derivative of i**4/28 + i**3/2 + 21*i. Find v, given that d(v) = 0.
-7, 0
Let n(u) = 4*u**2 - 2*u + 1. Let p(l) = -17*l**2 + 8*l - 4. Let j(w) = -26*n(w) - 6*p(w). Find a, given that j(a) = 0.
1
Let v be ((-7)/(-2) - 2)/(15 + 0). Let y(z) be the first derivative of -1/6*z**3 + v*z**5 - 1 - 1/4*z**2 + 0*z + 1/8*z**4. Factor y(n).
n*(n - 1)*(n + 1)**2/2
Let l be (-1425)/(-399) - (0 + 3/(-7)). Factor -1/2*y**5 + 0*y + 0*y**l + 0 + 3/2*y**3 + y**2.
-y**2*(y - 2)*(y + 1)**2/2
Let y be (-13 - -14) + -3 + 2. Let 6/5*s**3 - 4/5*s**4 + 0 - 2/5*s + y*s**2 = 0. Calculate s.
-1/2, 0, 1
Let d = 79/119 + -4/17. Let 1/7*k**3 + 3/7*k**2 + 1/7 + d*k = 0. What is k?
-1
Let a(d) be the third derivative of -d**6/156 + 4*d**5/195 - d**4/52 - 6*d**2 - 4*d. Factor a(k).
-2*k*(k - 1)*(5*k - 3)/13
Let f(i) be the second derivative of i**5/20 + i**4/4 + i**3/3 - 7*i. Factor f(n).
n*(n + 1)*(n + 2)
Determine m, given that 0 + 3/2*m**4 + 0*m + 3*m**3 + 3/2*m**2 = 0.
-1, 0
Suppose 0 = -5*v + 4*g, -3*v + 18 = 2*g - 4. Suppose -3*b + f + 4 = 0, -v*b - b - f = -12. Factor b*s**2 - 3*s**2 + s + 2*s**2.
s*(s + 1)
Let n(i) be the first derivative of -i**4/12 - 2*i + 1. Let x(o) be the first derivative of n(o). Find j, given that x(j) = 0.
0
Let t be 6 + -1 + (2 - 2). Suppose 2*h - 3*h + 3*g - 7 = 0, t*h = -4*g + 41. Determine u so that 2*u**5 + 0*u**5 + 0*u**h + 4*u**3 - 6*u**4 = 0.
0, 1, 2
Let s(k) = -k**3 + 6*k**2 - 4*k - 1. Let t be s(5). Suppose -v - t = -3*v. Factor -2/5 + 1/5*w**v - 1/5*w.
(w - 2)*(w + 1)/5
Solve -7*a**2 - 343/3 + 1/3*a**3 + 49*a = 0.
7
Suppose 0 = -4*p + 1 + 7. Suppose -4 - 3 - 3*r**p + 5 + 5 = 0. Calculate r.
-1, 1
Let b(s) be the third derivative of 0*s + 2*s**2 - 3/40*s**5 + 0 + 1/24*s**4 + 0*s**3 + 7/240*s**6. Factor b(n).
n*(n - 1)*(7*n - 2)/2
Let r(s) = -s - 2. Let b be r(-2). Solve 2*a**3 + 0*a + b - 4/5*a**2 = 0 for a.
0, 2/5
Let v be (6/(-7))/(1/(-7)). Let c(k) = 5*k**5 - 4*k**4 - 5*k**3 - 2*k**2 + 6. Let m(g) = g**5 - g**4 - g**3 + 1. Let o(d) = v*m(d) - c(d). Factor o(l).
l**2*(l - 2)*(l - 1)*(l + 1)
Let z(b) = -4*b**4 - 21*b**3 - 7*b**2 - 5. Let v(i) = 2*i**4 + 11*i**3 + 3*i**2 + 3. Let l(k) = 5*v(k) + 3*z(k). Suppose l(g) = 0. Calculate g.
-3, -1, 0
Suppose -3 - 3 = 3*x. Let w be (x - -2)/(0 + 1). Factor -a - a + 6*a**2 - 6*a**3 + 2*a**4 + w*a.
2*a*(a - 1)**3
Let w = 225/134 + -12/67. Solve -3/2*d**2 + 3/2*d + w*d**4 - 3/2*d**3 + 0 = 0 for d.
-1, 0, 1
Let o be -2 + 16/(0 - -4). Let i be 6/1*(-14)/(-20). Solve -4/5 + 16/5*y - i*y**o + 9/5*y**3 = 0 for y.
2/3, 1
Factor -2/9*a**2 - 2/3 + 8/9*a.
-2*(a - 3)*(a - 1)/9
Solve 10*l**2 + 8*l**4 - 18*l**2 - l - 3*l + 4*l**5 = 0.
-1, 0, 1
Determine l, given that 93*l - 126*l**4 - 15*l**5 + 113*l - 138*l**3 + 84*l**2 - 53*l - 81 + 123 = 0.
-7, -1, -2/5, 1
Let z be -2 + 4 + (-8)/5. Let b(x) = 2*x + 50. Let w be b(-24). Factor 7/5*n**w - 1/5 - z*n - 4/5*n**3.
-(n - 1)**2*(4*n + 1)/5
Let l(y) be the third derivative of 3*y**2 + y**3 + 0 - 7/12*y**4 + 1/6*y**5 - 1/60*y**6 + 0*y. Factor l(f).
-2*(f - 3)*(f - 1)**2
Let a be 20/15*(-3)/1. Let m = -2 - a. Factor m*j**2 + j - j + 2*j - 6*j.
2*j*(j - 2)
Let j(i) be the third derivative of 7*i**5/150 - i**4/5 - 4*i**3/15 - 6*i**2. Determine u so that j(u) = 0.
-2/7, 2
Let z(p) be the first derivative of -2*p**3/21 - 2*p**2/7 - 2*p/7 + 1. Find y, given that z(y) = 0.
-1
Let y be (-7)/(-2) - 5/(-20)*-8. Let y*n**2 + 0 + 3/2*n**3 + 0*n = 0. Calculate n.
-1, 0
What is c in 14*c**5 - 55*c**2 - 10*c - 105*c**3 - 2*c**4 - 39*c**5 - 83*c**4 = 0?
-1, -2/5, 0
Let b(m) be the first derivative of 4*m**3/3 - 6*m**2 + 8*m - 5. What is i in b(i) = 0?
1, 2
Let k = 125/3 - 41. Determine p so that k*p**2 + 2/3*p + 0 = 0.
-1, 0
Let l(c) be the second derivative of 8*c**6/15 - c**5/5 + 18*c. Solve l(r) = 0 for r.
0, 1/4
Let s(v) be the second derivative of v**8/5880 - v**7/8820 - v**6/630 + v**5/420 + v**4/12 - 2*v. Let o(p) be the third derivative of s(p). Factor o(q).
2*(q - 1)*(q + 1)*(4*q - 1)/7
Let u be ((-3)/(-30) - (-3)/6