*p - 106 - 53. Let n = p + -211/4. Factor 0 - 1/4*l + 1/4*l**2 + 1/4*l**3 - n*l**4.
-l*(l - 1)**2*(l + 1)/4
Let q = -127/2 + 65. Let z be ((-18)/15)/((-6)/10). Factor -3/2*k**4 - 1/2*k**5 + k**z + q*k - k**3 + 1/2.
-(k - 1)*(k + 1)**4/2
Let d(q) be the first derivative of 1 + 1/40*q**5 + 1/4*q**2 + 1/8*q**4 + 1/4*q**3 - 2*q. Let h(a) be the first derivative of d(a). Factor h(j).
(j + 1)**3/2
Solve -7 - 85*u + 48*u**2 + 37 + u + 10 - 4*u**3 = 0 for u.
1, 10
Let n be (-21 - -24)/(1/1). Factor 4/3*m**4 + 0 + 0*m - 2*m**n - 4/3*m**2.
2*m**2*(m - 2)*(2*m + 1)/3
Let m(t) be the third derivative of 0*t**3 + 0 + 0*t + 1/120*t**5 - 5*t**2 + 0*t**4 + 1/420*t**7 - 1/120*t**6. Factor m(o).
o**2*(o - 1)**2/2
Let j be 4/3*(5/1 - 2). Factor -r + 1/2*r**j + r**3 - 1/2 + 0*r**2.
(r - 1)*(r + 1)**3/2
Factor 5/4*t**3 - 15/4 - 25/4*t - 5/4*t**2.
5*(t - 3)*(t + 1)**2/4
Let u(k) be the third derivative of 0*k**5 - 1/120*k**6 + 0 + 0*k**3 + 0*k + 0*k**4 + 1/210*k**7 - 5*k**2. Factor u(r).
r**3*(r - 1)
Let n(u) = -u - 5. Let a be n(-8). Solve -2*b**4 + a*b**4 + 2*b**5 - 4*b**2 + 3*b**4 + b - 3*b = 0 for b.
-1, 0, 1
Let f(k) be the second derivative of k**4/16 + 3*k**3/2 + 27*k**2/2 + 4*k. Determine z so that f(z) = 0.
-6
Let f(d) be the third derivative of -9/32*d**4 + 0 + 7*d**2 + 0*d + 3/40*d**5 - 1/160*d**6 + 0*d**3. Factor f(n).
-3*n*(n - 3)**2/4
Let i be (8/(-14))/((-17)/(1904/288)). Suppose 0 + 0*y + i*y**3 - 2/9*y**2 = 0. Calculate y.
0, 1
Let y(w) be the second derivative of -7*w**4/72 - w**3/4 - w**2/6 + 37*w. Factor y(r).
-(r + 1)*(7*r + 2)/6
Let l(j) be the first derivative of j**6/360 - j**5/40 + j**4/12 + j**3/3 + 3. Let p(x) be the third derivative of l(x). Find c, given that p(c) = 0.
1, 2
Let b(v) = v**3 - 4*v**2 + 3*v. Let p(f) = -3*f**3 + 9*f**2 - 6*f. Let y(n) = -9*b(n) - 4*p(n). Factor y(q).
3*q*(q - 1)*(q + 1)
Let t(q) be the first derivative of 3*q**4/14 - 4*q**3/21 - q**2/7 - 8. Solve t(v) = 0.
-1/3, 0, 1
Let m(q) be the third derivative of -q**7/105 + q**6/15 - q**5/10 - q**4/3 + 4*q**3/3 + 2*q**2 + 1. Factor m(x).
-2*(x - 2)**2*(x - 1)*(x + 1)
Let d(t) be the third derivative of -t**7/3360 - t**6/720 - t**5/480 + t**3/3 + 4*t**2. Let z(n) be the first derivative of d(n). Let z(m) = 0. Calculate m.
-1, 0
Let s be 380/(-60) + (-4)/6. Let b = s - -23/3. Factor b*o + 1/3 + 1/3*o**2.
(o + 1)**2/3
Suppose -x + 3*x = -4*q + 14, 19 = 2*x + 5*q. Let m(a) = 3. Let v(r) = r**2 - 1. Let p(t) = x*v(t) - m(t). Suppose p(c) = 0. What is c?
0
Let p(i) be the second derivative of -i**6/50 - i**5/50 + i**4/15 + i**3/15 - i**2/10 + 3*i. Solve p(n) = 0 for n.
-1, 1/3, 1
Suppose -3*u = -7*u - 88. Let f(n) = 2*n**2 + 2*n + 2. Let b(r) = -7*r**2 - 7*r - 8. Let o(t) = u*f(t) - 6*b(t). Factor o(y).
-2*(y - 1)*(y + 2)
Let r(d) be the first derivative of 2*d**3/9 - 2*d**2/3 + 7. Determine x, given that r(x) = 0.
0, 2
Suppose 5*h = 3*z + 45, 2*z + 0*z = 2*h - 26. Let k be 25/z*(-4)/15. Factor 1/3*v**3 + 1/3*v - k*v**2 + 0.
v*(v - 1)**2/3
Let x(z) be the first derivative of -z**4/8 + z**3/2 - 2*z + 50. Solve x(f) = 0.
-1, 2
Factor 0 - 8/5*l**2 + 0*l - 4/5*l**4 + 12/5*l**3.
-4*l**2*(l - 2)*(l - 1)/5
Let u(p) = -p**5 + p**4 + p. Suppose -1 = -t - a, 0*a - 4*a = -2*t - 22. Let c(w) = w**5 - 4*w**4 - 3*w. Let g(k) = t*u(k) - c(k). Factor g(i).
i**4*(2*i + 1)
Factor 4*z + 6*z**2 - 2*z**2 - 4*z**3 - 6*z**4 + 2*z**4.
-4*z*(z - 1)*(z + 1)**2
Let q(z) be the second derivative of -z**5/240 + z**4/48 - z**3/24 + 7*z**2/2 + 3*z. Let g(x) be the first derivative of q(x). Factor g(r).
-(r - 1)**2/4
Determine i so that 6 + 8*i**3 - 14 + 4*i**4 - i**4 - i**4 - 8*i + 6*i**2 = 0.
-2, -1, 1
Let d(s) be the second derivative of 0 - 1/4*s**2 + 1/4*s**3 + 1/6*s**4 + s. Let d(m) = 0. What is m?
-1, 1/4
Let q(f) = f**3 + f**2. Let n(j) = 17*j**3 + 22*j**2 - 35*j - 10. Let p(o) = n(o) + 3*q(o). Factor p(r).
5*(r - 1)*(r + 2)*(4*r + 1)
Suppose 3*v**4 + 62*v - 62*v + 3*v**3 - 3*v**5 - 3*v**2 + 0*v**4 = 0. What is v?
-1, 0, 1
Let c(m) = -m**5 + m**3 + m + 1. Let n(t) = -3*t**5 - t**3 + 4*t**2 + 5*t + 5. Let o(a) = 5*c(a) - n(a). Find f, given that o(f) = 0.
-2, 0, 1
Let u(x) be the third derivative of x**8/6720 + x**7/1680 + x**6/1440 + 5*x**3/6 - 5*x**2. Let z(t) be the first derivative of u(t). Factor z(g).
g**2*(g + 1)**2/4
Let y(s) be the first derivative of 0*s - 1/8*s**2 + 3 - 1/12*s**3. Determine m so that y(m) = 0.
-1, 0
Let l(r) be the third derivative of r**8/84 + 4*r**7/105 + r**6/30 + r**2 - 23*r. Factor l(i).
4*i**3*(i + 1)**2
Factor -3/2*n + 3/2*n**2 + 0.
3*n*(n - 1)/2
Determine r so that -32/9*r - 14/9*r**2 - 8/9 = 0.
-2, -2/7
Let u(g) be the first derivative of 0*g**2 + 0*g**3 - 3/20*g**4 + 2 - 3/25*g**5 + 0*g. Determine y, given that u(y) = 0.
-1, 0
Let b(j) = 3*j**3 - 6*j**2 + 11*j. Let y(g) = g**3 - 3*g**2 + 6*g. Let t(n) = 6*b(n) - 11*y(n). Factor t(o).
o**2*(7*o - 3)
Let n(p) = 2*p**2 + 11*p - 21. Let t be n(-7). Find k, given that 0 - 9/4*k**4 - 3/4*k**5 + 0*k**3 + 3*k**2 + t*k = 0.
-2, 0, 1
Let a(f) be the third derivative of 0 + 0*f + 1/24*f**4 + 5*f**2 + 1/120*f**5 + 0*f**3. Solve a(i) = 0 for i.
-2, 0
Let l = -177 - -889/5. What is j in -l*j**2 - 1/5*j + 0 = 0?
-1/4, 0
Let c(f) be the second derivative of -f**8/11200 - f**7/4200 + f**6/1200 + f**5/200 - f**4/12 - 5*f. Let s(r) be the third derivative of c(r). Factor s(u).
-3*(u - 1)*(u + 1)**2/5
Let c(r) = -r**3 + 12*r**2 + 12*r - 14. Let m be c(13). Let b be m/(-36) - 1/4. Factor 1/2*n - 1/2*n**3 + 1/2 - b*n**2.
-(n - 1)*(n + 1)**2/2
Let t(a) be the third derivative of -a**8/672 - a**7/420 + a**6/48 + a**5/120 - a**4/6 + a**3/3 - 37*a**2 + a. Suppose t(g) = 0. Calculate g.
-2, 1
Let c be 2 - (2/1 + 0). Let k = 0 + c. Find o, given that -o**3 - 2*o**2 + 2*o**3 + k*o**3 = 0.
0, 2
Let c be (-2)/3 + 2 + -1. Let m(f) be the first derivative of c*f**3 + f - 1 - f**2. Factor m(z).
(z - 1)**2
Let o(i) be the second derivative of i**7/14 - i**6/5 + i**4/2 - i**3/2 - 7*i. Suppose o(d) = 0. What is d?
-1, 0, 1
Let a(m) = m**2 - m + 1. Let p(v) = -2*v**2 + 15*v + 33. Let u(n) = 3*a(n) + p(n). Suppose u(t) = 0. What is t?
-6
Let b(v) = -v**4 + 2*v**3 - 8*v**2 + 7. Suppose 2*c + 10 = 5*c + 2*w, -2*c = w - 6. Let l(x) = x**2 - 1. Let s(o) = c*b(o) + 14*l(o). Factor s(r).
-2*r**2*(r - 1)**2
Let i be -6*(-2 - (-6)/4). Let r be i/(3/(-12)*-6). Determine c so that -6 + 6 - c**r + 2*c = 0.
0, 2
Let r(o) be the third derivative of 0 + 7/12*o**4 + 1/15*o**5 + 5*o**2 - 1/60*o**6 + 0*o + 4/3*o**3. Factor r(t).
-2*(t - 4)*(t + 1)**2
Let n(j) = 13*j**2 - 5*j - 8. Let k(c) = -20*c**2 + 8*c + 12. Let a(p) = 5*k(p) + 8*n(p). Factor a(u).
4*(u - 1)*(u + 1)
Let w = 147/2 + -69. Factor -8*p + 21/2*p**2 + 2 - w*p**3.
-(p - 1)*(3*p - 2)**2/2
Let q(g) = g**2 + 6*g + 6. Let f = 3 + -9. Let b be q(f). Factor 10*i**4 + 6*i - 4*i**2 - b*i**3 - 6*i.
2*i**2*(i - 1)*(5*i + 2)
Let r be 0*(-21)/14*(-3)/9. Let y(j) be the third derivative of -1/60*j**4 + 3*j**2 + 1/300*j**5 + r + 1/600*j**6 + 0*j**3 + 0*j. Factor y(o).
o*(o - 1)*(o + 2)/5
Let j be 0 - (0 + -3)/1. Let b(c) be the first derivative of -5/6*c**2 - 2/9*c**j + 2/3*c + 5/12*c**4 + 2. Let b(v) = 0. Calculate v.
-1, 2/5, 1
Let z = 6572/5 - 1314. Factor z*f**2 - 3/5*f**3 + 0 + 1/5*f**4 + 0*f.
f**2*(f - 2)*(f - 1)/5
Let j(v) be the second derivative of v**6/15 + 2*v**5/5 - 16*v**3/3 - 16*v**2 + 4*v. What is o in j(o) = 0?
-2, 2
Solve 12*y + 2*y**2 - 5 - 4*y**2 - 5 = 0 for y.
1, 5
Let c(h) be the second derivative of 11*h**6/36 - 8*h**5/15 + h**4/3 + h**3/2 - 3*h. Let r(u) be the second derivative of c(u). Find p, given that r(p) = 0.
2/11, 2/5
Let o(i) be the first derivative of -i**6/105 + i**5/35 - 2*i**3/21 + i**2/7 + 2*i + 2. Let m(z) be the first derivative of o(z). Solve m(b) = 0.
-1, 1
Let m = -6 - -10. Factor 3*d**5 + 4*d**m - 4*d**5 + 5*d**2 - 7*d**2 - d**3 + 4*d**5.
d**2*(d + 1)**2*(3*d - 2)
Suppose -13*i**3 + 13*i**3 + 5*i - 5*i**3 = 0. What is i?
-1, 0, 1
Let f(g) = -13*g**2 - 13*g. Let z(v) = 3*v**2 + 3*v. Let i(n) = -2*f(n) - 9*z(n). Let i(c) = 0. Calculate c.
-1, 0
Let z(j) be the second derivative of j**6/120 + 9*j**5/80 + 5*j**4/12 + j**3/2 + 14*j. Factor z(p).
p*(p + 1)*(p + 2)*(p + 6)/4
Let n be (-20)/(-75)*3/16. Let a(k) be the second derivative of -1/18*k**3 - n*k**5 - 2*k - 1/12*k**4