*v**6 + 1/10*v**5 + 0*v**2 - 1/6*v**4. Factor c(d).
-2*d**2*(d - 1)**2*(d + 1)
Let r be 6 - (1 - -2)/3. Let o(b) = -2 + 3*b**3 + 0 - b**4 - r*b**3 + 3*b**2. Let x(j) = j**4 + 3*j**3 - 4*j**2 + 3. Let h(c) = 3*o(c) + 2*x(c). Factor h(y).
-y**2*(y - 1)*(y + 1)
Let y(v) be the third derivative of 0*v**6 + 0*v - 1/30*v**5 + 0*v**3 + 0 - v**2 + 1/105*v**7 + 0*v**4. Factor y(m).
2*m**2*(m - 1)*(m + 1)
Determine d, given that 0*d - 3/7*d**4 + 1/7*d**5 + 3/7*d**3 + 0 - 1/7*d**2 = 0.
0, 1
Let i(k) = k**3 - 3*k**2 + 3*k + 3. Let u(s) = -2*s**2 + 2*s + 2. Let v(d) = -2*i(d) + 3*u(d). Let v(l) = 0. Calculate l.
0
Let u(o) = 2*o**2 + 7*o - 6. Suppose -r = -15 - 3. Let s(g) = 1. Let d(k) = r*s(k) + 2*u(k). Factor d(h).
2*(h + 3)*(2*h + 1)
Let u(j) be the first derivative of 3*j**5/5 - 21*j**4/4 + 15*j**3 - 39*j**2/2 + 12*j - 45. Suppose u(g) = 0. What is g?
1, 4
Let 85*b**4 - 40*b - 8*b**4 + 170*b**3 + 20*b**2 - 2*b**4 = 0. Calculate b.
-2, -2/3, 0, 2/5
Let z be (35 - 1) + 1 + 1. Let c be 1/z + 8/36. What is j in -1/4 + c*j**2 - 1/4*j**3 + 1/4*j = 0?
-1, 1
Let m be 3*(-4)/(-6) + -8. Let w be (m*2/3)/(-6). Suppose -2/3*c**2 + w*c + 0 + 2/3*c**4 - 2/3*c**3 = 0. Calculate c.
-1, 0, 1
Let g = -45489/7 + 6342. Let x = 157 + g. Solve 0 + 2/7*c - x*c**2 + 2/7*c**3 = 0 for c.
0, 1
Let p(j) be the third derivative of -j**7/105 - j**6/20 - j**5/15 - j**2. Solve p(i) = 0 for i.
-2, -1, 0
Let t(x) = -26*x**2 + 40*x - 31. Let a(h) = 5*h**2 - 8*h + 6. Suppose 0*r = -4*w - r - 93, -5*r - 69 = 2*w. Let b(c) = w*a(c) - 4*t(c). Factor b(k).
-2*(k - 2)*(3*k - 2)
Let c be ((-10)/15)/((-4)/18). Suppose d**3 - 2*d**c - d**2 + d + d = 0. Calculate d.
-2, 0, 1
Find f such that 0*f - 2/7*f**3 + 6/7*f**2 - 8/7 = 0.
-1, 2
Let w(j) = -j**2 + j - 2. Let m(s) = 6*s**2 - 7*s + 13. Let l(v) = 6*m(v) + 39*w(v). Factor l(b).
-3*b*(b + 1)
Let c(j) be the first derivative of 20*j**2 + 50/3*j**3 + 3 + 8*j. What is a in c(a) = 0?
-2/5
Let i(u) = u**4 + u**2 + 1. Let n(p) = -4*p**4 - 6*p**3 - 4*p**2 + 6*p - 10. Let m(b) = -6*i(b) - n(b). Factor m(y).
-2*(y - 2)*(y - 1)**2*(y + 1)
Find z, given that -513 - 9*z + 513 - 3*z**2 = 0.
-3, 0
Let o be 40/(-220) - 35/(-11). Let y(x) be the third derivative of -1/60*x**6 + 0*x + 1/10*x**5 - 3*x**2 - 4/3*x**o + 0*x**4 + 0. Find c, given that y(c) = 0.
-1, 2
Let x(b) be the first derivative of b**3/27 + 4*b**2/9 + 16*b/9 + 2. Factor x(c).
(c + 4)**2/9
Let h(w) = -33*w**3 - 10*w**2 + 21*w + 4. Let u = -10 - -21. Let z(r) = 66*r**3 + 21*r**2 - 41*r - 7. Let j(c) = u*h(c) + 6*z(c). Suppose j(l) = 0. What is l?
-1, 2/11, 1/3
Suppose 0 = -w - 2*w - 12. Let i be (6/w)/(1/(-2)). Factor -3 - 3*r**5 + 15*r**3 - 24*r - 6 - i*r**2 + 3*r**4 - 3.
-3*(r - 2)**2*(r + 1)**3
Let m(k) be the second derivative of -k**5/5 - 2*k**4 - 8*k**3 - 16*k**2 + 24*k - 1. Factor m(s).
-4*(s + 2)**3
Let x be 8/(-112)*14/(-360). Let l(b) be the third derivative of -x*b**6 + 0 + 0*b**3 + 2*b**2 + 0*b**5 + 0*b + 0*b**4. Let l(r) = 0. Calculate r.
0
Let z(n) = n**2 - n - 3. Let t be z(3). Suppose -x**4 - 5*x + 2 + 3*x**2 + 0*x**t + x**3 - 2*x**4 + 2*x**4 = 0. Calculate x.
-2, 1
Let t(g) be the third derivative of 0*g**4 + 0*g + 0*g**3 + 0 - 1/150*g**5 + 2*g**2. Let t(x) = 0. Calculate x.
0
Let c(u) be the third derivative of -u**7/210 - u**6/40 - u**5/20 - u**4/24 + u**2. Suppose c(t) = 0. What is t?
-1, 0
Let j(p) = -p**2 - 1. Let z(n) = -6*n**3 + 4*n**2 - 4*n - 6. Let b(k) = -12*j(k) + 2*z(k). Find v such that b(v) = 0.
0, 2/3, 1
Let p be 4/(-10)*(-8 - -3). Factor 4*t**p + 2*t + 1/4.
(4*t + 1)**2/4
Suppose -2*t - k + 10 = k, 4*t = -5*k + 16. Let u(d) = -11*d - 53. Let w be u(-5). Let -72/5*s**w + 48/5*s**3 - t*s - 6/5 = 0. Calculate s.
-1/4, 2
Let t(z) = 21 - 10 + 16*z - 5*z - 4 - 11*z**2. Let u(j) = 5*j**2 - 5*j - 3. Let c(b) = -3*t(b) - 7*u(b). Factor c(x).
-2*x*(x - 1)
Let q(o) be the first derivative of 1/2*o**2 - 1/3*o**3 - 2 + 0*o. Find h such that q(h) = 0.
0, 1
Suppose 0 - 1/5*c**5 + 2/5*c**4 - 2/5*c**2 + 1/5*c + 0*c**3 = 0. Calculate c.
-1, 0, 1
Suppose 0*t - 5*t = -10. Let k(u) = u + 22. Let o be k(-15). Factor l + 2*l**t + 2*l + 2 - o*l.
2*(l - 1)**2
Factor 4 - 6 + 8*q**2 + 19*q + q - 10.
4*(q + 3)*(2*q - 1)
Let i = -170 - -172. Factor -2/3 - 4*g - 8*g**2 - i*g**4 - 20/3*g**3.
-2*(g + 1)**3*(3*g + 1)/3
Let o = -2 - -5. Factor -6/5 - 3/5*z + 3/5*z**o + 6/5*z**2.
3*(z - 1)*(z + 1)*(z + 2)/5
Let n be -11 + (6 - -1) - (-40)/6. Find f, given that 4/3 + n*f + 5/3*f**2 + 1/3*f**3 = 0.
-2, -1
Let q(f) be the second derivative of f**6/165 - f**4/66 - 7*f. Factor q(b).
2*b**2*(b - 1)*(b + 1)/11
Let j(s) = s**2 + 8*s - 11*s + 2*s. Let v be j(-1). Let 2 - f**2 - 4 + 1 + v*f = 0. Calculate f.
1
Factor -78*a**3 + 0*a + 75*a**3 - 3*a**2 + 0*a.
-3*a**2*(a + 1)
Factor 270*w**3 - 729 - 45*w**4 + 55*w + 4*w**5 + 1160*w - w**5 - 810*w**2.
3*(w - 3)**5
Let l be (-2)/5 + (-81)/(-15). Let l*m - 3*m**3 + 11*m**3 - 10*m**2 + m**5 + 2*m**3 - 1 - 5*m**4 = 0. Calculate m.
1
Let j = -5 - 0. Let f be (-2)/j - (-80)/50. Suppose 0*x - 2/11*x**4 + 0 + 2/11*x**3 + 4/11*x**f = 0. Calculate x.
-1, 0, 2
Let f = 97/7 - 173/14. Factor -f - 3*w - 3/2*w**2.
-3*(w + 1)**2/2
Let v(s) be the second derivative of 0*s**2 + 3*s + 2/5*s**6 + s**4 + 0 + 1/14*s**7 + 1/2*s**3 + 9/10*s**5. Suppose v(h) = 0. What is h?
-1, 0
Find b, given that 0 + 1/2*b**3 - 1/2*b - 1/2*b**4 + 1/2*b**2 = 0.
-1, 0, 1
Let p = -1/1900 + 761/1900. Suppose 2*h + 2*h - g = 16, 3*g + 21 = 3*h. Determine b so that 0*b - p*b**h + 0 - 2/5*b**2 = 0.
-1, 0
Let v(x) be the third derivative of -1/120*x**5 + 0*x**3 + 0 + 1/24*x**4 + 0*x - 3*x**2. Let v(c) = 0. What is c?
0, 2
Let d(y) = 2*y**2 - 5*y + 1. Let n(c) = c. Suppose 0*o = -4*o + 4. Let l(f) = o*d(f) + 2*n(f). Suppose l(j) = 0. What is j?
1/2, 1
Let s(r) be the second derivative of -r**4/6 - r**3 + 21*r. Factor s(g).
-2*g*(g + 3)
Let n(w) = w**3 + 8*w**2 + 7*w + 3. Let r be n(-7). Factor 3*i + 1 + 3 - r + i**3 + 3*i**2.
(i + 1)**3
Let k(h) be the first derivative of 3*h**5 + 129*h**4/4 + 102*h**3 + 48*h**2 - 96*h - 26. Factor k(d).
3*(d + 1)*(d + 4)**2*(5*d - 2)
Let q be (1*(2 - 0))/5. Let k be ((-24)/(-32))/((-1)/(-4)). Suppose 0 - q*h**k + 0*h**2 + 2/5*h = 0. What is h?
-1, 0, 1
Suppose -3*p = 2*p - 20. What is l in 2*l**5 + 0*l**3 + 3*l**3 - 3*l**3 + 2*l**p = 0?
-1, 0
Let v be ((-3)/(-210)*7)/(3/5). Let u(w) be the second derivative of 2*w + 0 - 1/12*w**4 - v*w**3 + 1/20*w**5 + 1/2*w**2. Determine j, given that u(j) = 0.
-1, 1
Let z(l) be the third derivative of l**7/70 + l**6/10 + l**5/5 + 2*l**2. Factor z(f).
3*f**2*(f + 2)**2
Factor 0 + 1/3*y**2 - 2/3*y.
y*(y - 2)/3
Factor -24/5*x**2 + 36/5 + 138/5*x.
-6*(x - 6)*(4*x + 1)/5
Let a(r) be the third derivative of r**2 - 1/40*r**6 + 0*r + 1/5*r**5 - 5/8*r**4 + r**3 + 0. Solve a(v) = 0 for v.
1, 2
Let -3/4*n - 3/4*n**4 + 1/2*n**2 + 1/4 + 1/4*n**5 + 1/2*n**3 = 0. Calculate n.
-1, 1
Let w(l) = -12*l**3 + 11*l**2 + 29*l + 23. Let i(n) = 4*n**3 - 4*n**2 - 10*n - 8. Let r(p) = -17*i(p) - 6*w(p). Factor r(y).
2*(y - 1)*(y + 1)*(2*y + 1)
Let j be ((-2)/(-4))/((-73)/(-4)). Let d = 136/365 + j. What is a in -8/5*a**4 - d + 24/5*a**3 + 12/5*a - 26/5*a**2 = 0?
1/2, 1
Let f = 5 - 3. Factor 7*m**3 - 7*m**4 + 4*m**4 + 10*m**4 - 2*m**f - 2*m**3.
m**2*(m + 1)*(7*m - 2)
Let z(a) be the second derivative of -a**4/42 + a**3/21 - 7*a. Factor z(m).
-2*m*(m - 1)/7
Let f be 2*-1 - (-8 + -33). Let z = -107/3 + f. Suppose -4/3 - z*i - 2*i**2 = 0. What is i?
-1, -2/3
Let u = 354 + -352. Factor 0*d - 3/2*d**u + 3/2.
-3*(d - 1)*(d + 1)/2
Let g(b) be the third derivative of -b**9/10584 + b**7/1470 - b**5/420 - b**3 + b**2. Let h(p) be the first derivative of g(p). Factor h(f).
-2*f*(f - 1)**2*(f + 1)**2/7
Let l(j) be the third derivative of 1/300*j**6 - j**2 + 0 - 1/150*j**5 - 1/60*j**4 + 0*j + 1/3*j**3. Let n(z) be the first derivative of l(z). Factor n(q).
2*(q - 1)*(3*q + 1)/5
Let -5*i - 12*i - 3*i - 8*i**2 + 3*i**3 + i**3 + 24 = 0. Calculate i.
-2, 1, 3
Let w(l) be the first derivative of -2*l**5 - l**4 + 10*l**3/3 + 2*l**2 + 30. Factor w(s).
-2*s*(s - 1)*(s + 1)*(5*s + 2)
Let x be -1*(0 - (-2 - -2)). Let v be 25/2*(-4)/(-210)*6. Factor 4/7*f**3 + 6/7*f**5 + v*f**4 + 0*f**2 + x + 0*f.
2*f**3*(f + 1)*(3*f + 2)/7
Let i = -17/59 + 305/649. Factor 0*o**3 + 0*o - i*o**2 + 0 + 2/