y) = y**4 + 12*y**3 - 11*y**2 - 2. Let c(t) = -n(t) + 6*z(t). Determine f so that c(f) = 0.
-2, -1, 2/5
Let c = 18782/963 - 7/1926. Factor -9*q**4 + 3/2*q**5 + 6*q + c*q**3 + 0 - 18*q**2.
3*q*(q - 2)**2*(q - 1)**2/2
Let n = -9 - -14. Solve -16*f**4 - 7*f**3 - 4 + 2 + f**2 + n*f + 17*f**4 + 2*f**5 = 0.
-2, -1, 1/2, 1
Let z(v) = 36*v**3 + 60*v**2 - 64*v - 64. Let k(m) = 12*m**3 + 20*m**2 - 21*m - 21. Let w(r) = -16*k(r) + 5*z(r). Solve w(n) = 0 for n.
-2, -2/3, 1
Let c(h) be the first derivative of 0*h - 9/13*h**2 + 4/13*h**3 - 1/26*h**4 - 12. Suppose c(p) = 0. What is p?
0, 3
Suppose 100*y + 140*y = 55*y + y. Let y*s + 4/5*s**3 + 0 - 4/5*s**2 = 0. Calculate s.
0, 1
Let v(o) be the first derivative of -1/55*o**5 - 10 - 1/11*o + 2/33*o**3 + 0*o**2 + 0*o**4. Factor v(i).
-(i - 1)**2*(i + 1)**2/11
Let t(q) be the second derivative of -q**6/30 + q**5/5 - 8*q**3/3 + 7*q**2/2 + 12*q. Let v(i) be the first derivative of t(i). Factor v(m).
-4*(m - 2)**2*(m + 1)
Let j be (5/(-200))/(0 - (-20)/(-24)). Let s(d) be the second derivative of j*d**5 + 0*d**2 - 1/15*d**3 + 5*d + 0 + 1/60*d**4. Factor s(m).
m*(m + 1)*(3*m - 2)/5
Determine t, given that -782/5*t**2 - 196/5*t + 288/5*t**4 - 16/5 - 944/5*t**3 = 0.
-1/4, -2/9, 4
Factor -3 + 15*s**2 + 15 - 3 - 42*s - 9 + 3*s**3.
3*s*(s - 2)*(s + 7)
Let f(i) be the first derivative of -i**7/140 + i**5/40 + 14*i**2 - 31. Let l(p) be the second derivative of f(p). Factor l(j).
-3*j**2*(j - 1)*(j + 1)/2
Let y(p) be the second derivative of -p**5/120 - 19*p**4/18 - 455*p**3/12 + 507*p**2/2 - 18*p + 17. Factor y(j).
-(j - 2)*(j + 39)**2/6
Let k be ((-1)/(-10))/((-5)/5970). Let a = k + 123. Factor a - 12/5*u**2 + 3*u.
-3*(u - 2)*(4*u + 3)/5
Let y(d) = 19*d**2 + 320*d + 6403. Let v(c) = 14*c**2 + 320*c + 6402. Let x(g) = 3*v(g) - 2*y(g). Factor x(t).
4*(t + 40)**2
Suppose 24 = 4*k - 3*l, -5*k - 2*l - 1 = 2*l. Factor 0 + 0 + 2*g + 4*g - k*g**2 - 3.
-3*(g - 1)**2
Find t such that -279*t + 474*t**2 - 125*t**5 - 106*t**2 + 1 - 350*t**4 + 71*t + 40*t**3 + 31 = 0.
-2, 2/5
Suppose -4*u - 3*x = 2*x - 41, 0 = -4*x + 20. Factor 5*y**3 - 2*y**3 + 2*y**3 + y**2 + y**u - 3*y**3.
y**2*(y + 1)**2
Factor 307*t**3 + 3*t**4 - 14*t - 2*t**2 + 2*t - 313*t**3 - 19*t**2.
3*t*(t - 4)*(t + 1)**2
Let u be -5*4/(-3 + -1). Suppose u*g + 1 = 11. Determine l, given that -9*l**2 + 0*l**4 + 2*l - l**4 - g*l**3 + 10*l**2 = 0.
-2, -1, 0, 1
Let x(f) be the first derivative of -14 - 1/3*f**3 + 3*f - f**2. Factor x(i).
-(i - 1)*(i + 3)
Find j such that 10*j**2 + j**5 - 19*j**2 + 32 - 26*j**2 - 8*j**2 - j**3 + 5*j**2 + 6*j**4 = 0.
-4, -1, 1, 2
Suppose 5*q - a - 12 = 0, -q - 4*a = -12 - 3. Factor -q + 35*v**3 + 100*v + 5*v**4 + 90*v**2 + 8 + 20 + 15.
5*(v + 1)*(v + 2)**3
Let b(d) be the second derivative of d**5/90 + d**4/9 + d**3/3 + 4*d**2/9 + 30*d + 2. Factor b(g).
2*(g + 1)**2*(g + 4)/9
Let x be -1*(-1)/((-1)/(-3)). Let u be 3/(-42) + 9/42. Let 0 - 1/7*h**x + u*h + 1/7*h**2 - 1/7*h**4 = 0. Calculate h.
-1, 0, 1
Let h(b) = -b**3 + 22*b**2 - 156*b + 960. Let c be h(16). Let 16/5*q**3 + 8/5*q**2 + 2/5*q**5 + 2*q**4 + 0*q + c = 0. What is q?
-2, -1, 0
Suppose -a = -12 + 2. Suppose 0 = 4*q - a - 2. Determine d, given that 247*d**3 - q*d**5 - 247*d**3 + 3*d - 6*d**4 + 6*d**2 = 0.
-1, 0, 1
Let c(p) be the third derivative of -2*p**7/105 + 2*p**6/15 + p**5/15 - 2*p**4/3 + 7*p**2 - 13. Factor c(q).
-4*q*(q - 4)*(q - 1)*(q + 1)
Let a(l) = l**3 + 5*l**2 + 3*l - 1. Let h be a(-4). Suppose v + 2*k - 13 = 0, h*k + k - 11 = 3*v. Factor 5*o**2 - 2*o**4 - 10*o**5 - v*o**4 - 5*o**3 + 15*o**5.
5*o**2*(o - 1)**2*(o + 1)
Let m(t) = t**2 + 12*t - 13. Let d be m(-13). Let z be 6/15 - (-1)/2*d. Determine x so that -z*x**2 - 6/5*x - 4/5 = 0.
-2, -1
Let f = -15489/4 - -3874. Factor -3/4 - 1/4*j**3 - 5/4*j**2 - f*j.
-(j + 1)**2*(j + 3)/4
Let v(s) be the second derivative of 26*s + 0 - 5/18*s**4 - 1/3*s**3 + 3*s**2 - 1/30*s**5. Factor v(w).
-2*(w - 1)*(w + 3)**2/3
Determine c so that 75/4*c**3 - 81/4*c**2 + 3/4*c**5 + 0 - 27/4*c**4 + 15/2*c = 0.
0, 1, 2, 5
Suppose 2 = 3*z - 4*r + 1, 2*z - 10 = -2*r. Solve -312*g**2 + 5*g**5 + 306*g**2 - 2*g**z - 4*g**5 - 3*g**5 + 4*g + 6*g**4 = 0 for g.
-1, 0, 1, 2
Let l(o) be the second derivative of o**5/190 - 5*o**4/114 - 2*o**3/19 + 23*o. Factor l(y).
2*y*(y - 6)*(y + 1)/19
Let u(t) be the first derivative of 0*t**2 + 1/30*t**5 + 0*t + 2*t**3 + 1/12*t**4 + 1/180*t**6 - 8. Let i(a) be the third derivative of u(a). Solve i(p) = 0.
-1
Let i(w) be the first derivative of -w**5/5 + 2*w**4/3 + 25*w - 20. Let m(x) be the first derivative of i(x). Solve m(c) = 0 for c.
0, 2
Let s = -3/965 - -1963/10615. What is o in 4/11 - 2/11*o**2 - s*o = 0?
-2, 1
Let k be -4 - 4/(-2)*2/(-4). Let w be 3*k*(-3)/30. Suppose 0 + 3/4*c**2 - w*c = 0. What is c?
0, 2
Suppose 24*n - 35 = 17*n. Let q be (1/n - 0)/(72/144). Find k such that 1/5*k**4 - 3/5*k**2 - k + 1/5*k**3 - q = 0.
-1, 2
Let p(w) be the first derivative of -w**5/60 + 5*w**4/24 - 2*w**3/3 + 9*w**2/2 - 5. Let z(l) be the second derivative of p(l). Factor z(n).
-(n - 4)*(n - 1)
Factor l**3 - 68/3*l**2 - 95/3*l - 8.
(l - 24)*(l + 1)*(3*l + 1)/3
Let y(w) = 9*w**2 - w + 5. Let b be y(3). Factor -4*d + 37*d**2 + 44*d**2 - 2 - b*d**2.
-2*(d + 1)**2
Let k(o) be the first derivative of o**5/25 + 3*o**4/8 + 19*o**3/30 + 3*o**2/10 + 208. Factor k(z).
z*(z + 1)*(z + 6)*(2*z + 1)/10
Let n(b) be the first derivative of 6*b**3/7 + 29*b**2/7 + 12*b/7 - 200. Let n(d) = 0. What is d?
-3, -2/9
Let h(r) = 3*r**2 - 4*r**2 - 2*r**2 - 3*r. Let c(d) = -1 + 0*d + d + 6*d**2 + 5*d - d**3. Let w(s) = 3*c(s) + 5*h(s). Factor w(i).
-3*(i - 1)**2*(i + 1)
Let p = 66 + -64. Suppose 4*t = -3*g + 7*g - 44, 3*t + 11 = g. Factor -g + 43 + u**2 - u**2 + 2*u**p + 16*u.
2*(u + 4)**2
Let d be (-3)/(-4 - (-222)/(-12)). Find c such that -d + 2/15*c**2 + 0*c = 0.
-1, 1
Let q(f) be the second derivative of -f**4/30 + 2*f**3/5 - 9*f**2/5 - 2*f + 23. What is m in q(m) = 0?
3
Let m = -10 + 8. Let s(l) = -l**2 - 3*l. Let c be s(m). Factor 2*u**3 - 4*u**2 + 2*u + 0*u**c - u**3 + u**3.
2*u*(u - 1)**2
Let s = -26 - -24. Let a(r) = -3*r - 4. Let w be a(s). Determine n, given that -w*n**3 + 12*n - 17*n + 11*n + 4 = 0.
-1, 2
Let y(q) be the third derivative of q**6/40 - 3*q**4/8 + q**3 + 79*q**2. What is a in y(a) = 0?
-2, 1
What is c in 32/5*c - 24/5 - 14/5*c**2 + 2/5*c**3 = 0?
2, 3
Let 7*n + 4 + 1/2*n**3 + 7/2*n**2 = 0. What is n?
-4, -2, -1
Let s be 0 + 0*7/35*5. Factor 2/7*z**3 + 2/7*z**2 - 2/7*z**5 - 2/7*z**4 + 0 + s*z.
-2*z**2*(z - 1)*(z + 1)**2/7
Factor 6/7*r**3 - 32/7*r**2 + 0 + 10/7*r.
2*r*(r - 5)*(3*r - 1)/7
Factor 105 + 23*o**2 + 17*o**2 + 100*o + 10*o**2 - 55*o**2.
-5*(o - 21)*(o + 1)
Let -86/3 + 1/3*a**4 - a**2 - 43/3*a**3 + 131/3*a = 0. What is a?
-2, 1, 43
Let g(y) be the third derivative of -y**6/120 - y**5/10 - y**4/3 - 102*y**2 + 4. Suppose g(d) = 0. What is d?
-4, -2, 0
Let u(s) be the second derivative of s**6/40 - 171*s**5/80 + 105*s**4/2 - 98*s**3 - 23*s - 3. Factor u(m).
3*m*(m - 28)**2*(m - 1)/4
Let l(s) be the first derivative of -4*s**3/3 - 22*s**2 - 40*s - 145. Factor l(t).
-4*(t + 1)*(t + 10)
Let z(q) = -q**3 - q**2 + q - 1. Let p(t) = 7*t**3 - 5 - 3 + 4 - 14*t**2 + 9*t - 6*t**3. Let w(h) = -p(h) + 4*z(h). Factor w(k).
-5*k*(k - 1)**2
Let w(d) be the second derivative of d**4/3 + 2*d**3 - 8*d**2 - 28*d + 1. Factor w(o).
4*(o - 1)*(o + 4)
Find x, given that 14/17*x**4 - 520/17*x - 200/17 + 582/17*x**2 - 164/17*x**3 = 0.
-2/7, 2, 5
Let y = 59 + -55. Factor 18*o**2 + 78*o**4 - 75*o**y + 7*o**3 + 8*o**3.
3*o**2*(o + 2)*(o + 3)
Suppose -5*m + 21 = -4*y - 9, -9*m + 38 = -4*y. Solve -1/6*w**4 - 7/6*w**3 - 13/6*w**m + 1/2*w + 3 = 0 for w.
-3, -2, 1
Let p(f) be the second derivative of -f**6/480 + f**5/80 - 5*f**3/6 - 6*f. Let j(k) be the second derivative of p(k). Let j(l) = 0. Calculate l.
0, 2
Let y(u) be the first derivative of u**3/2 - 117*u**2/2 + 4563*u/2 - 376. Factor y(v).
3*(v - 39)**2/2
Factor 9*i**2 - 9*i + 0*i - 6*i**2 + 15*i.
3*i*(i + 2)
Let d(q) be the second derivative of -q**7/315 - 11*q**6/225 - 4*q**5/15 - 22*q**4/45 + 32*q**3/45 + 64*q**2/15 + 269*q. Let d(x) = 0. What is x?
-4, -2, 1
Suppose -2*p = -4*t + 14, -t - 2*p = 2*t. Factor -w - 11*w**3 - 5*w - t*w + 7*w**3 + 12*w**2.
-4*w*(w - 2)*(w - 1)
Let i(s) = 2*s**3 + s**2