*t - 20. Let k(s) = r*y(s) + 11*b(s). Factor k(l).
(l + 1)*(l + 2)**2
Let o(x) be the first derivative of -5*x**6/18 + 4*x**5/3 - 25*x**4/12 + 10*x**3/9 - 6. Suppose o(t) = 0. What is t?
0, 1, 2
Factor 0*i - 2/3*i**3 + 2/9*i**5 - 4/9*i**2 + 0 + 0*i**4.
2*i**2*(i - 2)*(i + 1)**2/9
Suppose 79 = 5*w + 3*j, -2*w + 9 + 7 = -4*j. Let r = -10 + w. Factor -1/2*n + 1/4*n**r + 1/2*n**3 + 0*n**2 - 1/4.
(n - 1)*(n + 1)**3/4
Let v be 68/(-32)*-2 + -4. What is f in -1/2*f**2 + 0 + 1/4*f**5 + 0*f**3 + 1/2*f**4 - v*f = 0?
-1, 0, 1
Let t(a) be the third derivative of -1/12*a**5 - 1/210*a**7 + 0 + 1/30*a**6 + 4*a**2 + 0*a + 1/12*a**4 + 0*a**3. Factor t(s).
-s*(s - 2)*(s - 1)**2
Let -1/2*b**4 + 0*b + 0 + 0*b**2 + 0*b**3 = 0. Calculate b.
0
Let t(o) be the first derivative of o**4/24 - 2*o**3/9 + o**2/3 - 12. Factor t(h).
h*(h - 2)**2/6
Let q(r) = -r**2 - 14*r + 4. Let u(d) = d**2 - d + 1. Let t(i) = q(i) - 4*u(i). Find m such that t(m) = 0.
-2, 0
Solve -2/11*f**2 + 0 + 4/11*f = 0.
0, 2
Let s(d) be the first derivative of -d**4/28 + 3*d**2/14 - 2*d/7 + 2. Factor s(q).
-(q - 1)**2*(q + 2)/7
Solve -2/5*b - 14/5*b**2 + 0 = 0 for b.
-1/7, 0
Let a(f) be the first derivative of 2 + 1/60*f**5 + f**2 + 0*f**3 - 1/12*f**4 + 0*f. Let o(l) be the second derivative of a(l). Solve o(p) = 0.
0, 2
Let n = 1318/5 + -262. Factor 8/5*p**2 + 0 + n*p + 2/5*p**3.
2*p*(p + 2)**2/5
Let k be -4*(-1 - (-57)/66). Determine r, given that -8/11*r**3 - 2/11*r**4 + 8/11*r + 8/11 - k*r**2 = 0.
-2, -1, 1
Let u(q) be the second derivative of -q**10/30240 + q**8/3360 - q**6/720 - q**4/3 - 5*q. Let s(f) be the third derivative of u(f). Factor s(x).
-x*(x - 1)**2*(x + 1)**2
Factor -8*r**2 - 10*r**4 + 4*r**2 + 14*r**3 + 0 + 0.
-2*r**2*(r - 1)*(5*r - 2)
Let h be ((-18)/(-5))/(11/(-220)). Let a be (-382)/h - (-2)/8. Factor -a*i**2 - 40/9*i - 8/9.
-2*(5*i + 2)**2/9
Let b(d) be the third derivative of d**5/150 - d**4/60 + 8*d**2. Solve b(n) = 0 for n.
0, 1
Let p be (-6)/(-12) + 1*-31. Let z = p - -31. Solve 0 + 0*s**4 + 0*s**2 + 0*s + z*s**3 - 1/2*s**5 = 0 for s.
-1, 0, 1
Find q, given that 8/9*q**2 + 2/9*q**5 + 0 + 2/3*q**3 - 8/9*q - 8/9*q**4 = 0.
-1, 0, 1, 2
Let d(s) be the third derivative of -s**5/90 - s**4/12 - 2*s**3/9 - 4*s**2. Factor d(f).
-2*(f + 1)*(f + 2)/3
Let k(d) be the first derivative of -3*d**5/40 + d**4/8 + 9*d + 2. Let b(v) be the first derivative of k(v). Factor b(i).
-3*i**2*(i - 1)/2
Let u = -2/61 - -376/305. Factor u*s + 4/5 + 2/5*s**2.
2*(s + 1)*(s + 2)/5
Suppose 0*w = -4*w - 3*c + 14, w + 4*c - 10 = 0. Factor 4/11 - 2/11*y**w + 2/11*y.
-2*(y - 2)*(y + 1)/11
Let m(w) = -141*w**2 - w. Let i be m(-1). Let p be 7/(i/24) + 2. Factor -p*q**2 + 2/5*q + 0 + 2/5*q**3.
2*q*(q - 1)**2/5
Let m = -299 - -299. Suppose m + 2/7*k**2 + 0*k = 0. What is k?
0
Let g(s) be the first derivative of s**3/12 - 3*s**2/8 + s/2 + 1. Determine c, given that g(c) = 0.
1, 2
Let m(q) be the second derivative of -2*q - 1/30*q**6 - 1/40*q**5 + 0 + 1/12*q**3 + 1/12*q**4 + 0*q**2. Find z, given that m(z) = 0.
-1, -1/2, 0, 1
Factor 0 + 0*z + 4/3*z**2 + 7/3*z**4 - 16/3*z**3.
z**2*(z - 2)*(7*z - 2)/3
Let s(g) be the first derivative of -g**5/80 + g**4/16 - g**3/12 - 2*g + 1. Let w(z) be the first derivative of s(z). Determine k so that w(k) = 0.
0, 1, 2
Let n(t) = 18*t**5 + 30*t**4 + 18*t**3 - 6*t**2 - 6*t + 6. Let p(j) = j**5 + j**4 + j + 1. Let c(m) = n(m) - 15*p(m). Find w such that c(w) = 0.
-3, -1, 1
Let z(n) be the third derivative of -2*n**7/105 + 8*n**5/15 - 32*n**3/3 + 4*n**2. Solve z(i) = 0.
-2, 2
Let o(a) be the first derivative of -a**5/15 + a**4/12 + a**3/3 - a**2/6 - 2*a/3 + 49. Determine s, given that o(s) = 0.
-1, 1, 2
Let s(k) be the third derivative of k**7/840 - k**6/480 - k**5/240 + k**4/96 + 11*k**2. Suppose s(d) = 0. Calculate d.
-1, 0, 1
Let m = -144 + 146. Let y(f) be the first derivative of 0*f**3 - 1/10*f**4 + 3/5*f**m - 1 + 4/5*f. Suppose y(r) = 0. Calculate r.
-1, 2
Let a(x) be the first derivative of x**4/26 - 4*x**3/39 + x**2/13 + 11. Suppose a(k) = 0. What is k?
0, 1
Solve -2*m**3 + 7 - 10*m**3 + 12*m + 13 - 4 - 20*m**2 + 4*m**4 = 0 for m.
-1, 1, 4
Suppose g - 7 = -0*g - 3*v, 4*g - 5*v - 11 = 0. Let 2*s**2 + 4*s - g*s**2 + 0*s**2 = 0. Calculate s.
0, 2
Factor 14*k**3 - 2*k**3 + 8*k**4 - k + 2*k**5 + 3*k + 8*k**2.
2*k*(k + 1)**4
Let l(x) be the third derivative of 0*x**4 + 1/40*x**5 + 0*x + 0 + x**2 + 0*x**3. Factor l(q).
3*q**2/2
Factor -4/5 - 6/5*x - 2/5*x**2.
-2*(x + 1)*(x + 2)/5
Let a(l) = 7*l**5 + l**4 - 3*l**3 - l**2 + 4*l + 4. Let f(u) = u**5 + 7 - 2*u**5 + u**2 + 0*u - u - u**4 - 8. Let z(m) = a(m) + 4*f(m). Factor z(h).
3*h**2*(h - 1)**2*(h + 1)
Let n(c) = c**4 + 44*c**3 + 26*c**2 - 40*c - 39. Let a(w) = 5*w**4 + 265*w**3 + 155*w**2 - 240*w - 235. Let g(p) = -4*a(p) + 25*n(p). Factor g(q).
5*(q - 1)*(q + 1)**2*(q + 7)
Factor 2/3*c**5 + 4/3*c**2 - 2*c**4 + 4/3*c**3 + 2/3 - 2*c.
2*(c - 1)**4*(c + 1)/3
Suppose -2*c = -3*c + 4. Find f such that -15*f**2 - f**4 + 0*f**c - 6*f - 7*f + 4*f - 7*f**3 = 0.
-3, -1, 0
Suppose -36*u + 7 - 18*u**2 - 1 - 12*u**3 + 9*u**3 - 30 = 0. Calculate u.
-2
Let g(h) be the third derivative of h**7/2520 - h**6/720 + h**4/12 + 3*h**2. Let v(y) be the second derivative of g(y). Solve v(k) = 0.
0, 1
Let m(l) be the first derivative of -196*l**5/45 - 35*l**4/6 - 8*l**3/3 - 4*l**2/9 - 6. Suppose m(f) = 0. Calculate f.
-1/2, -2/7, 0
Let u be ((-1)/(-3))/(5/45). Let f(a) be the second derivative of 0 + 4/3*a**2 - 1/4*a**5 - 7/18*a**4 + 4*a + 1/10*a**6 + 2/3*a**u. Find n, given that f(n) = 0.
-2/3, 1, 2
Factor 0*b - 2/9 + 2/9*b**2.
2*(b - 1)*(b + 1)/9
Let y be 65/13 + (2 - (-39)/(-6)). Suppose 4*h + f = 7, -4*h + 1 = 4*f + 9. Suppose -y*b**4 + 2 + 2*b - 2*b**h - 3/2*b**2 = 0. What is b?
-2, -1, 1
Let k(m) be the second derivative of -m**5/20 + 5*m**4/12 - 7*m**3/6 + 3*m**2/2 - 11*m. Factor k(q).
-(q - 3)*(q - 1)**2
Let r(z) be the first derivative of -z**6/6 + z**5/5 + 3*z**4/4 - 5*z**3/3 + z**2 - 12. Factor r(v).
-v*(v - 1)**3*(v + 2)
Factor 0*s + 2*s - 17*s**3 + 18*s**3 + 3*s**2.
s*(s + 1)*(s + 2)
What is u in 0*u**2 + 0*u - 5/4*u**3 + 0*u**4 + 0 + 5/4*u**5 = 0?
-1, 0, 1
Suppose 1 = 4*c - 75. Let g = -6 + c. Solve -4*i**3 + 2*i**4 + 5*i + 10*i**3 - g*i = 0.
-2, 0, 1
Let h = 229 + -1139/5. Solve -3*d + 21/5*d**2 - h = 0 for d.
-2/7, 1
Suppose 20 = 5*s, -d = 2*s - 6 - 4. Factor -2/3*f**3 + 2/3 + 2*f**d - 2*f.
-2*(f - 1)**3/3
Let -2/5*t**2 - 6/5*t**4 + 0 - 8/5*t**3 + 0*t = 0. What is t?
-1, -1/3, 0
Let z(l) be the first derivative of -1 + 0*l**2 - 1/3*l**3 + l. Find i such that z(i) = 0.
-1, 1
Suppose 4 = -26*p + 28*p. Factor 1/2 + 1/2*t**p + t.
(t + 1)**2/2
Let n(o) be the first derivative of -o**6/57 - 2*o**5/19 - 9*o**4/38 - 14*o**3/57 - 2*o**2/19 + 6. Solve n(k) = 0.
-2, -1, 0
Let c(r) = -r + 1. Suppose 0 = -3*m - 3, -4*m = -3*p + 4 - 15. Let o(v) = -2*v**3 + 6*v**2 - 5*v - 3. Let x(t) = p*c(t) + o(t). Factor x(q).
-2*(q - 2)**2*(q + 1)
Suppose 36/5*n**2 + 6/5 + 21*n**3 - 39/5*n - 84/5*n**4 - 108/5*n**5 = 0. Calculate n.
-1, 2/9, 1/2
Let -n**5 - n**3 - 13*n**4 - 2*n**2 + 5*n**4 + 4*n**4 - 4*n**3 = 0. Calculate n.
-2, -1, 0
Suppose 6 + 4 = 5*l. Let q be ((-4)/l)/6*0. Factor 0 - 1/2*p**4 - 1/2*p**3 + 1/2*p**5 + 1/2*p**2 + q*p.
p**2*(p - 1)**2*(p + 1)/2
Suppose -8 = -2*o, -4*o = 3*t + 2*t - 26. Suppose 2*x = 3*k - 3*x - 32, -5*k + t*x = -28. Factor -q**2 + 1/4 - 1/2*q**3 + 3/4*q**k + 1/2*q.
(q - 1)**2*(q + 1)*(3*q + 1)/4
Suppose 1 = 2*u - 3. Let c(x) be the first derivative of -2 - 1/9*x**3 - 1/3*x**u - 1/3*x. Factor c(o).
-(o + 1)**2/3
Let o(g) be the first derivative of -8*g - 4*g**2 - 2/3*g**3 + 3. Solve o(n) = 0.
-2
Factor 2*h**3 + 2/3*h**4 + 2*h**2 + 2/3*h + 0.
2*h*(h + 1)**3/3
Let x(c) be the first derivative of c**7/105 + c**6/25 + c**5/25 - c**4/15 - c**3/5 - c**2/5 - 3*c + 1. Let k(l) be the first derivative of x(l). Factor k(d).
2*(d - 1)*(d + 1)**4/5
Suppose 13*z - 8*z - 10 = 0. Factor 1/3*q**z + 0 + 0*q.
q**2/3
Let r be (-2)/8 + 52/16. Find a such that -21*a**2 + 0 - 5*a**4 - 2 + 17*a**r + 11*a + 0*a**4 = 0.
2/5, 1
Let r(m) = 69*m**4 + 378*m**3 + 786*m**2 + 576*m + 48. Let x(d) = d**4 - d**3 - d**2. Let t(b) = -r(b) + 6*x(b). Factor t(k).
-3*(k + 2)**3*(21*k + 2)
Suppose 0*d - 5 = -5*d - 4*j, 5*d = -3*j + 10. Suppose 3*a - f - 5 = a, 0 = -4*a - d