= -4*l + l. Factor -2 - 7*f**3 - 5*f**3 + f + 5*f**4 + 9*f**2 - f**l.
(f - 1)**3*(5*f + 2)
Factor 4 + 2*u**2 - 4 - u**2.
u**2
Factor -64/3 - 32/3*d - 4/3*d**2.
-4*(d + 4)**2/3
Factor 3*q**5 - 4*q - 18*q**3 - 4*q + 24*q**2 - q.
3*q*(q - 1)**3*(q + 3)
Let v be 7/((-7)/2) + 2. Factor 0*o + v*o + 4*o**2 + 7*o**4 - o**4 + 10*o**3.
2*o**2*(o + 1)*(3*o + 2)
Let v(r) be the third derivative of -4*r**2 + 0*r**3 + 0*r - 1/150*r**5 + 1/525*r**7 + 1/300*r**6 - 1/840*r**8 + 0*r**4 + 0. Determine p so that v(p) = 0.
-1, 0, 1
Let w be 6/4 - (-134)/(-8). Let y = 16 + w. Factor 0*i + 3/4*i**3 + 0 - 1/4*i**2 - y*i**4 + 1/4*i**5.
i**2*(i - 1)**3/4
Let k(r) be the first derivative of 0*r + 4 + 3/2*r**2 + 1/120*r**6 + 0*r**3 + 1/24*r**4 - 1/30*r**5. Let b(z) be the second derivative of k(z). Factor b(w).
w*(w - 1)**2
Let y(a) be the first derivative of -a**6/18 + a**5/15 + a**4/6 + 11. Determine p, given that y(p) = 0.
-1, 0, 2
Find j such that -1/5*j**5 - 6/5*j**4 - 16/5*j**2 - 9/5*j - 2/5 - 14/5*j**3 = 0.
-2, -1
Factor -4*p**2 + 3*p**2 - 5*p**2 + 2*p**2.
-4*p**2
Suppose 0 = 7*u - 2*u + u. Factor -4/7*y**2 + 0 + u*y - 2/7*y**3.
-2*y**2*(y + 2)/7
Factor 1/6*o**2 - 1/2*o + 0.
o*(o - 3)/6
Let t(a) = -3*a**3 + 15*a**2 - 21*a + 9. Suppose 0 = -8*z + 3*z + 45. Let r(v) = v**3 - 7*v**2 + 10*v - 4. Let h(y) = z*r(y) + 4*t(y). Factor h(c).
-3*c*(c - 1)*(c + 2)
Let v(a) = -5*a**3 - 3*a**2 - 2*a. Let x be v(-1). Factor -2*t**4 + x - 10*t**4 + 9*t - 15*t**3 + 3*t - 4*t**5 + 8*t**2 + 7*t**3.
-4*(t - 1)*(t + 1)**4
Suppose 4*n = -3*n. Find h, given that 1/3*h**2 + 0*h + n = 0.
0
Let b = -7 - -7. Let 2*o**2 + 0*o - 2*o + 0*o**2 + b*o = 0. What is o?
0, 1
Suppose -6 = -4*q - 0*l - 2*l, 2*l = -q. Factor 4*g**2 - 2*g**q + 0*g**2 - 3*g**2 - g.
-g*(g + 1)
Let g be (-4 + (-159)/(-36))*4. Let x(l) be the first derivative of 0*l - l**2 - 1 - l**4 + 1/5*l**5 + g*l**3. Find s such that x(s) = 0.
0, 1, 2
Let l(o) be the first derivative of -2/5*o**3 - 1/5*o**2 + 3 + 0*o. Find t such that l(t) = 0.
-1/3, 0
Suppose -u - 6 = -4*u. Suppose -x - 4*c = -2, 3*c - 6 - 4 = -5*x. Suppose -2*s**2 + 2*s**2 - 8*s**x - u*s = 0. What is s?
-1/4, 0
Let m be -1*((-6)/(-18) - 1). Let k(x) be the first derivative of -m*x + 2/9*x**3 - 3 + 0*x**2. Factor k(b).
2*(b - 1)*(b + 1)/3
Let p = 51 - 26. Suppose 5*u = -5*m - 25, 3*u = -m + 6*m + p. Factor 2/5*d**3 - 6/5*d + u*d**2 + 4/5.
2*(d - 1)**2*(d + 2)/5
Let t(k) be the third derivative of 0 - 2*k**2 + 0*k**4 - 1/2*k**3 + 0*k + 1/20*k**5. Factor t(b).
3*(b - 1)*(b + 1)
Let y = 15625/168 - 93. Let l(h) be the third derivative of 1/30*h**6 - 1/36*h**4 + y*h**8 + 0*h**3 + 0*h**5 + 0 + 2*h**2 - 8/315*h**7 + 0*h. Solve l(j) = 0.
-1/3, 0, 1
Let z(r) be the first derivative of 2*r**6/3 + 8*r**5/5 - 3*r**4 - 16*r**3/3 + 8*r**2 - 2. Suppose z(a) = 0. What is a?
-2, 0, 1
Determine r, given that 2/7*r - 4/7*r**2 + 4/7*r**4 + 0 - 2/7*r**5 + 0*r**3 = 0.
-1, 0, 1
Factor 54 - 18*i + 3/2*i**2.
3*(i - 6)**2/2
Let o(n) = -n**5 - n**4 - n**3 - n - 1. Let h(g) = -14*g**5 - 10*g**4 - 8*g**3 - 4*g**2 - 14*g - 10. Let t(z) = h(z) - 12*o(z). Suppose t(c) = 0. Calculate c.
-1, 1
Suppose -d = -0*d - 7. Let h = d + -20/3. Find z such that h*z**2 + 0 - 2/3*z + 1/3*z**3 = 0.
-2, 0, 1
Let c be 13/(-26) - (-30)/28. Suppose 6/7*x**3 + 2/7*x**2 + 2/7 - c*x**4 - 6/7*x = 0. Calculate x.
-1, 1/2, 1
Let x = 19 + 1. Let y be ((-8)/(-60))/(2/x). Solve 2/3*v**2 - y*v + 0 = 0.
0, 2
Let g(f) be the second derivative of -f**6/120 + f**5/60 + f**4/12 + 3*f**2/2 + f. Let o(d) be the first derivative of g(d). Determine b, given that o(b) = 0.
-1, 0, 2
Let m(t) be the first derivative of -2*t**3/39 - 2*t**2/13 - 17. Factor m(x).
-2*x*(x + 2)/13
Let p(m) be the third derivative of m**6/120 - m**4/24 - 6*m**2. Factor p(k).
k*(k - 1)*(k + 1)
Let u(c) be the second derivative of -2*c + 0*c**2 + 1/36*c**4 + 2/63*c**7 + 0 + 3/20*c**5 - 1/18*c**3 + 11/90*c**6. Factor u(l).
l*(l + 1)**3*(4*l - 1)/3
Let v(w) = 4*w**2 + 7*w + 1. Let p(g) = g**2 + g - 1. Let h(o) = -3*p(o) + v(o). Find m, given that h(m) = 0.
-2
Factor r**4 + 4/5 - 2/5*r**3 - 3*r**2 - 4/5*r.
(r - 2)*(r + 1)**2*(5*r - 2)/5
Let d = -4071073/58788 + 1/14697. Let i = 70 + d. Factor 9/4*t**2 - i - 3/2*t.
3*(t - 1)*(3*t + 1)/4
Let u(f) be the third derivative of 0*f**3 + 0 + 1/105*f**5 - 2/735*f**7 + 1/84*f**4 + 0*f**6 + 0*f + 2*f**2 - 1/1176*f**8. Find a such that u(a) = 0.
-1, 0, 1
Factor -25/2*k**3 + 28*k + 55/2*k**2 + 6.
-(k - 3)*(5*k + 2)**2/2
Factor 0 + 1/2*w + 3/2*w**2 + 1/2*w**4 + 3/2*w**3.
w*(w + 1)**3/2
Solve -8/7 - 2/21*l + 2/21*l**2 = 0 for l.
-3, 4
Suppose -2 - 11 = -3*i + 2*u, -5*u - 10 = 0. Suppose -2*w - i*w + 10 = 0. Factor 2/3*z**w + 4/3 + 2*z.
2*(z + 1)*(z + 2)/3
Let i(a) be the second derivative of 5*a**7/252 - 7*a**6/180 - a**5/40 + 7*a**4/72 - a**3/18 - 11*a. Find p such that i(p) = 0.
-1, 0, 2/5, 1
Let j(i) be the third derivative of i**7/2520 - i**5/120 - i**4/12 + 3*i**2. Let a(s) be the second derivative of j(s). Find t, given that a(t) = 0.
-1, 1
Suppose -4*a - 2 = -10. Let m(g) = -6 + a*g + 1 - 3*g**2 + 2*g. Let u(k) = 10*k**2 - 12*k + 16. Let x(p) = 16*m(p) + 5*u(p). Factor x(n).
2*n*(n + 2)
Factor -2*z**3 - 8*z**4 - 7/2*z**5 + 0 + 0*z**2 + 0*z.
-z**3*(z + 2)*(7*z + 2)/2
Let a(c) = 5*c**2 + 5*c - 3. Let q(i) = 4*i**2 + 4*i - 2. Let j(g) = 2*a(g) - 3*q(g). Factor j(m).
-2*m*(m + 1)
Let g(r) = -r**4 - r**3 - 1. Let v be (1/3 + -1)*-3. Let s(l) = l**3 + 5*l**3 - 3*l**3 - l**4 + 2. Let o(z) = v*g(z) + s(z). Let o(x) = 0. Calculate x.
0, 1/3
Let k(o) be the first derivative of 3 - 3/16*o**4 + 1/4*o**2 + 0*o - 1/12*o**3. What is c in k(c) = 0?
-1, 0, 2/3
Suppose 0*t - t + 12 = 0. Suppose 0 = 3*k, 2*p - 2*k - t = 2*k. Let -p*u**2 + 62 + 0*u**2 + 4*u**4 - 2*u + 2*u**3 - 60 = 0. Calculate u.
-1, 1/2, 1
Factor 27*w**2 - 6*w**2 + 0*w - 6*w.
3*w*(7*w - 2)
Let z(u) = -3*u + 18. Let g be z(6). Factor 5/3*p**3 - 2/3*p**2 + 0 + g*p.
p**2*(5*p - 2)/3
Let m(t) = 2*t**2 + 4*t. Let z be m(5). Let 20*u**4 - 87*u**3 + 58*u**4 + 6*u**3 + 11*u**3 + z*u**5 - 86*u**2 + 8 = 0. What is u?
-1, -2/5, 2/7, 1
Let u(t) be the third derivative of 0 - 1/40*t**6 + 1/8*t**4 + 5*t**2 - 1/20*t**5 + 0*t + 1/2*t**3. Find d such that u(d) = 0.
-1, 1
Let j(t) be the first derivative of 2*t**5/45 - 2*t**3/27 - 10. Determine z, given that j(z) = 0.
-1, 0, 1
Let h(v) = -v**3 + 2*v. Let u be h(0). Let k(y) be the first derivative of -1/3*y**3 + 0*y + u*y**2 + 5/8*y**4 - 3 + 7/10*y**5. Factor k(f).
f**2*(f + 1)*(7*f - 2)/2
Let d(m) = 2*m + 7. Let j be d(-7). Let l = -5 - j. Factor -2/7 - 8/7*v - 8/7*v**l.
-2*(2*v + 1)**2/7
Suppose 4*r + o - 18 = 0, -r - 5*o + 12 = -2. Suppose 0*n + 8 = r*n. Solve -2*u**2 + 4*u**2 - u**5 + n*u**3 - 3 - u**4 - u + 2 = 0 for u.
-1, 1
Let q(p) be the first derivative of -3/10*p**4 + 4/5*p + 1/5*p**2 - 8/15*p**3 - 2. Let q(b) = 0. Calculate b.
-1, 2/3
Let x(m) be the first derivative of 3*m**5 - 55*m**4/4 + 10*m**3 + 30*m**2 - 40*m - 7. Determine t, given that x(t) = 0.
-1, 2/3, 2
Suppose 0 = t - 0*t - 2*t. What is z in 0 + 2/3*z**2 + t*z - 2/3*z**4 + 0*z**3 = 0?
-1, 0, 1
Let r be -1*2/2 + 3. Let q(t) be the first derivative of 1/12*t**6 + 1 + 5/3*t**3 + 5/4*t**4 + 5/4*t**r + 1/2*t + 1/2*t**5. Find y, given that q(y) = 0.
-1
Suppose -11*d + 27 = -2*d. Let m(x) be the third derivative of -1/300*x**5 + 0 + d*x**2 - 1/30*x**3 + 0*x + 1/60*x**4. Factor m(a).
-(a - 1)**2/5
Let w(p) be the third derivative of p**8/672 - p**7/140 - 8*p**2. What is k in w(k) = 0?
0, 3
Let p = 9 - 3. Determine i so that 2*i**4 - 4*i**5 + 2*i**5 - i - 3*i**5 - 2*i**2 + p*i**5 = 0.
-1, 0, 1
Let f(w) = w + 2. Let s be f(1). Let b(c) be the third derivative of 0*c + 0*c**s + 1/240*c**5 + 2*c**2 + 0 + 1/48*c**4. Factor b(j).
j*(j + 2)/4
Let q be (-4 + 1)*(-6 - -5). Factor 5*i**3 - i**3 + 0*i**3 - 2*i**q - i**4.
-i**3*(i - 2)
Let z = 4/33 - -25/66. Factor -z*h - h**2 + 0 - 1/2*h**3.
-h*(h + 1)**2/2
Let q(h) = h**2 + 7*h - 4. Let j be q(-8). Suppose -n = j, -m + 3*m = -n + 2. Find u, given that -3*u**5 + 2*u**4 + 5*u**m + 0*u**5 + u**3 - 5*u**4 = 0.
-2, 0, 1
Let r(c) = 5*c + 0*c**2 + 0*c**2 + 6 - c**2. Let s be r(6). Suppose 0 - 1/2*y**3 + s*y + 1/2*y**2 = 0. What is y?
0, 1
Let g be (-25)/525*(-8 + 2)/1. Determine t, given that 2/7*t + 4/7 - g*t**3 - 4/7*t**2 = 0.
-2, -1, 1
