 2 + 30 = 0. Let b = -5 - s. Factor -2*q**3 - q**3 + 2*q**b + 2*q**2 - q.
-q*(q - 1)**2
Let d(j) = -j**3 - 9*j**2 - j - 9. Let s be d(-9). Factor 2/9*y**3 + s*y**2 + 0*y + 0.
2*y**3/9
Let v(i) = 7*i**3 - 24*i**2 - 30*i + 1. Let a(l) = l**3 - 4*l**2 - 5*l. Let z(x) = -39*a(x) + 6*v(x). Factor z(b).
3*(b + 1)**2*(b + 2)
Let o(i) be the first derivative of -i**5/120 - i**4/24 - i**3/12 - i**2 - 3. Let a(u) be the second derivative of o(u). Solve a(d) = 0.
-1
Let g be (-376)/(-416) - (-6)/(-8). Factor 0 + g*u**2 + 0*u.
2*u**2/13
Let n(l) be the first derivative of 0*l - 2/3*l**3 + 2 + 2*l**2. Factor n(g).
-2*g*(g - 2)
Let i(j) = -10*j**4 - 14*j**3 + 12*j**2 + 14*j + 9. Let c(h) = h**4 + h**3 - h**2 - h - 1. Let u(m) = 22*c(m) + 2*i(m). Factor u(x).
2*(x - 2)*(x - 1)**2*(x + 1)
Let p be (-42)/35*(-10)/4. Factor 63 + 9*h**3 - 63 - p*h**4 - 12*h.
-3*h*(h - 2)**2*(h + 1)
Let q = 24 + -22. Let 0*w**3 + 0*w - 1/2*w**4 + w**q - 1/2 = 0. Calculate w.
-1, 1
Factor 0 + 1/5*l + 1/5*l**2.
l*(l + 1)/5
Let a(b) = -b + 15. Let d be a(15). Let p(g) be the third derivative of -1/945*g**7 - 1/27*g**3 + 0 + 1/135*g**5 + 0*g**6 - 4*g**2 + 0*g + d*g**4. Factor p(y).
-2*(y - 1)**2*(y + 1)**2/9
Factor 2*m**3 + 3*m**3 - m**5 + 0*m**5 - 4*m**5.
-5*m**3*(m - 1)*(m + 1)
Let v(g) = 115*g**4 - 228*g**3 + 112*g**2 + 9*g - 11. Let u(i) = -114*i**4 + 228*i**3 - 112*i**2 - 10*i + 10. Let t(z) = 3*u(z) + 2*v(z). Solve t(h) = 0 for h.
-1/4, 2/7, 1
Let n be ((-27)/(-4) - 6)/((-21)/(-16)). Factor -2/7*r**5 + 2/7 + 4/7*r**3 + 2/7*r**4 - 2/7*r - n*r**2.
-2*(r - 1)**3*(r + 1)**2/7
Let z(j) be the second derivative of -j**6/100 - j**5/75 + j**4/20 + 2*j**3/15 + 3*j**2/2 - 3*j. Let x(v) be the first derivative of z(v). Solve x(h) = 0 for h.
-1, -2/3, 1
Let 1/6*u**2 - 5/6*u**4 + 0*u + 0 + 1/2*u**5 + 1/6*u**3 = 0. Calculate u.
-1/3, 0, 1
Let z(r) = 3*r - 9. Let f be z(4). Let -13*m**4 - m + m**4 - 2*m + 3*m**2 + 5*m**3 + 7*m**f = 0. What is m?
-1/2, 0, 1/2, 1
Determine l, given that -8/3*l**2 + 4/3*l**4 + 4/3*l**3 + 0*l + 0 = 0.
-2, 0, 1
Let v(b) = b**2 + b - 1. Let p(q) = q - 4. Let y be p(5). Let u(t) = 11*t**2 - t**2 - 21*t + 30*t - 7. Let r(l) = y*u(l) - 6*v(l). Factor r(o).
(o + 1)*(4*o - 1)
Factor 0 - 8/3*g + 4*g**2 - 4/3*g**3.
-4*g*(g - 2)*(g - 1)/3
Suppose s - 4*s + 15 = 0. Let o be 4 - (2 - 0 - 1). Solve 2*r**4 - 2*r**2 + 0 - 10/3*r**o + 8/3*r**s + 2/3*r = 0 for r.
-1, 0, 1/4, 1
Factor 101 - 101 + n**2.
n**2
Let d(i) = 7*i**3 + 7*i**2 + i + 1. Let w(h) = -48*h**3 - 48*h**2 - 6*h - 6. Let r(f) = -27*d(f) - 4*w(f). Factor r(s).
3*(s - 1)*(s + 1)**2
Let m be 0 + 7 + (-9 + -3 - -7). Factor -2/3*l**m - 4/3*l - 2/3.
-2*(l + 1)**2/3
Let u be (-56)/147 - -2 - 4/3. Let 2/7*m**2 + 0*m - u = 0. Calculate m.
-1, 1
Let i be (-1 - (-7)/10)*(-2)/3. Suppose -7/5*f**4 - i*f**5 + 0 + 0*f - 9/5*f**2 - 3*f**3 = 0. Calculate f.
-3, -1, 0
Let n be 24/(-20)*(-8)/6. Solve n*x**2 + 0 - 2/5*x**3 - 8/5*x = 0 for x.
0, 2
Solve 2*p**3 + 7*p**3 - 2*p**2 + 6*p**3 - 5*p**4 - 8*p**2 = 0.
0, 1, 2
Let b be (46/(-69))/((-8)/18). Let l be (-8)/(-5) + 10/25. Factor x**l + 1/4*x + b*x**3 + 0 + x**4 + 1/4*x**5.
x*(x + 1)**4/4
Let h = -45 - -65. Suppose -5*t = -0*t + h. Let d(j) = -17*j**2 + 17. Let m(k) = 6*k**2 - 6. Let y(f) = t*d(f) - 11*m(f). Factor y(l).
2*(l - 1)*(l + 1)
Let z(t) be the third derivative of -t**6/120 + 2*t**5/15 - 7*t**4/24 + 32*t**2. Solve z(i) = 0.
0, 1, 7
Let y = -11 - -21. Let b(f) = f**3 - 9*f**2 - 11*f + 13. Let z be b(y). Find x, given that -z*x - 3*x**4 - x**5 - x**2 + 3*x - 3*x**3 = 0.
-1, 0
Let b(v) be the first derivative of -1/3*v**3 - 1/3*v - 2/3*v**2 + 5. Factor b(q).
-(q + 1)*(3*q + 1)/3
Let k = -7166/279 + 5/279. Let u = k + 26. Suppose 1/3*w**5 + 1/3*w**4 - 2/3*w**3 + u - 2/3*w**2 + 1/3*w = 0. What is w?
-1, 1
Let r = -12 + 16. Let d = -34 + 137/4. Suppose d*t**r + t**3 + 3/2*t**2 + 1/4 + t = 0. Calculate t.
-1
Let o(g) be the second derivative of 0 + 2*g + 1/54*g**4 + 4/27*g**3 + 1/3*g**2. Factor o(p).
2*(p + 1)*(p + 3)/9
Let j(g) be the first derivative of -g**3/9 + g**2/2 - 1. Determine v so that j(v) = 0.
0, 3
Suppose 4*h - f = 68, 4*h = -2*f + 49 + 7. Suppose -3*i + h = i - y, -16 = -4*i - 3*y. Factor -4*r**4 + i*r**2 - r**5 - r**5 + r + r.
-2*r*(r - 1)*(r + 1)**3
Let p(y) be the first derivative of y**6/6 - y**4/4 + 8. Let p(a) = 0. Calculate a.
-1, 0, 1
Let x(b) be the second derivative of b**5/90 + b**4/27 + b**3/27 - 11*b. What is p in x(p) = 0?
-1, 0
Let f(d) be the first derivative of -2/9*d**3 + 2*d**2 + 4 - 6*d. Factor f(b).
-2*(b - 3)**2/3
Let v(m) be the third derivative of m**8/30240 + m**7/7560 + m**5/20 + 3*m**2. Let i(o) be the third derivative of v(o). Factor i(d).
2*d*(d + 1)/3
Let u(t) be the third derivative of 0*t + 0 + 1/60*t**6 + 5/2016*t**8 - 1/180*t**5 + 0*t**3 - 1/90*t**7 - 1/144*t**4 - t**2. Let u(d) = 0. What is d?
-1/5, 0, 1
Suppose 4*t - 5*p - 1 = 0, t - 3*p = -1 - 4. Suppose -z - 6 = -t*z. Factor -b**5 - b + 2*b**3 - z*b + 2*b.
-b*(b - 1)**2*(b + 1)**2
Suppose 0 = 3*i - 4*i, 4*z - 4*i = 0. Factor -1/2*d**2 - 1/4*d + z.
-d*(2*d + 1)/4
Let n = -3 + 4. Suppose o = n + 4. What is a in o*a - a**2 - 2*a**2 - a + a**2 = 0?
0, 2
Determine a so that -9/4*a + 3/2*a**3 + 3/4*a**5 + 9/4*a**4 - 3/4 - 3/2*a**2 = 0.
-1, 1
Let g(i) = -i + 6. Suppose 4*r + 2*m - 26 = 0, 0 = -r - 2*r + 5*m + 13. Let w be g(r). Factor 2/7 - 2/7*f**2 + w*f.
-2*(f - 1)*(f + 1)/7
Factor -2*k**2 + 10*k**2 + 56*k**2 + 42*k + 2*k**5 + 10 + 18*k**4 + 4*k**2 + 52*k**3.
2*(k + 1)**4*(k + 5)
Let w(k) be the third derivative of 9*k**7/350 + 3*k**6/50 - k**5/50 - k**4/10 + k**3/10 - 5*k**2. Determine g so that w(g) = 0.
-1, 1/3
Suppose 6/7*c - 2/7 + 2/7*c**3 - 6/7*c**2 = 0. What is c?
1
Let w(y) be the third derivative of y**7/210 + y**6/72 + y**5/180 - y**4/72 + 4*y**2. Factor w(b).
b*(b + 1)**2*(3*b - 1)/3
Solve 0 + 2/5*o - 1/5*o**3 - 1/5*o**2 = 0.
-2, 0, 1
Let s(h) = -6*h - 10. Let l be s(-2). Let f(v) be the first derivative of -1 + l*v + 2*v**2 + 2/3*v**3. Factor f(n).
2*(n + 1)**2
Let a = -3 + 5. Factor a*b**5 - 7*b**4 + 4*b**4 + b**4.
2*b**4*(b - 1)
Let s(w) be the first derivative of -3 - 2/3*w**3 + 2*w + 0*w**2. Solve s(u) = 0.
-1, 1
Let a(i) be the first derivative of i**6/540 - i**5/180 - i**4/18 - i**3/3 + 3. Let o(s) be the third derivative of a(s). What is r in o(r) = 0?
-1, 2
Solve -b**4 - 2*b**3 + 2*b**2 + 5*b**4 - 3*b**3 - b**5 = 0 for b.
0, 1, 2
Let z(v) = v**2 + v - 2. Let u be z(-2). Let k(t) = -t**2 + 1. Let h be k(u). Factor -1/2*w + h - 1/2*w**2.
-(w - 1)*(w + 2)/2
Let h(v) be the first derivative of 1/90*v**5 - 1/9*v**3 + 4 + 0*v + 0*v**4 + v**2. Let l(d) be the second derivative of h(d). Factor l(q).
2*(q - 1)*(q + 1)/3
Let f be (-3 + -1 - -5)*5. Let a(t) be the third derivative of -1/30*t**3 + 1/300*t**f + 2*t**2 + 0*t**4 + 0 + 0*t. Determine j so that a(j) = 0.
-1, 1
Suppose 3/5*x**4 + 0 + 3/5*x**3 - 3/5*x**2 - 3/5*x = 0. What is x?
-1, 0, 1
Let j = -30 + 34. Suppose 0 - 2/7*a**j + 2/7*a**3 + 0*a**2 + 0*a = 0. Calculate a.
0, 1
Let o be 67*((-24)/(-21))/4. Factor -8/7 - 32/7*l + 14*l**5 + o*l**3 + 46/7*l**2 - 34*l**4.
2*(l - 1)**3*(7*l + 2)**2/7
Let t(z) = -z. Let m be t(-3). Let j = m + 1. Find u, given that 2*u**2 + j - 4*u + 1 - 3 = 0.
1
Solve -1/3*g - 1/6*g**2 + 1/2 = 0.
-3, 1
Let x(h) be the first derivative of -h**3/15 - 3*h**2/10 - 9. Factor x(f).
-f*(f + 3)/5
Let x(g) be the third derivative of -g**7/840 + g**6/360 + g**3/2 + 6*g**2. Let c(k) be the first derivative of x(k). Determine a so that c(a) = 0.
0, 1
Let l(j) be the second derivative of -j**5/5 + 2*j**4/3 + 2*j**3/3 - 4*j**2 - 2*j. Find y such that l(y) = 0.
-1, 1, 2
Let g(y) be the third derivative of -y**6/40 + y**5/5 - 5*y**4/8 + y**3 - 2*y**2. Suppose g(i) = 0. What is i?
1, 2
Let t be (2/(-4) - 0)*-10. Let k(g) be the third derivative of -1/180*g**t + 0*g + g**2 - 1/630*g**7 + 0*g**4 + 0 + 0*g**3 - 1/180*g**6. Factor k(u).
-u**2*(u + 1)**2/3
Let j = 491 + -489. Determine s, given that 0 + 1/2*s**4 + 1/2*s**3 - s**j + 0*s = 0.
-2, 0, 1
Factor -4*y**3 + 2*y - y**3 + 2*y**3 - y**2 + 2*y**3.
-y*(y - 1)*(y + 2)
Suppose 6*u = u. Let w(v) be the second derivative of 1/12*v**4 - 1/30*v**6 + u*v**5 - 1/84*v**7 + v + 1/12*v**3 + 0*v**2 + 0. Factor w(r).
-r*(r - 1)*(r + 1)**3/2
Let d be 35/6 - (-5)/(-10).