Let g(m) be the second derivative of u(m). Factor g(p).
(p + 1)**2/3
Suppose 2*j + 4 - 2 = 2*p, 0 = 2*p + 2*j - 6. Factor 3/5*f + 2/5 + 1/5*f**p.
(f + 1)*(f + 2)/5
Let x = 124/7 - 122/7. Factor 2/7*y + 0 + 0*y**2 - x*y**3.
-2*y*(y - 1)*(y + 1)/7
Factor 2*r**3 + 12*r + 4 - 2*r**3 + 6*r**3 - 2*r**3 + 12*r**2.
4*(r + 1)**3
Let m = 50 + -899/18. Let c(g) be the second derivative of -m*g**3 - 1/9*g**4 + 0*g**2 - g + 0. Let c(v) = 0. What is v?
-1/4, 0
Let q be (2/14*6)/(108/189). Factor q - 3*h + 3/2*h**2.
3*(h - 1)**2/2
Let o be (-1)/(1/(-12)*-1). Let j = o + 14. Factor 1/3*v**j + 1/3*v + 0.
v*(v + 1)/3
Let s(b) be the second derivative of b**6/120 - b**5/40 + 3*b. Factor s(o).
o**3*(o - 2)/4
Let p(j) = j**3 + 5*j**2 - 8*j - 6. Let k be p(-6). Solve -3*z**3 + 4*z**2 + 0*z**3 + 4*z + z**3 - k*z = 0 for z.
0, 1
Let q(z) = -11*z**2 + 3*z**3 - 3*z**3 - 8 + 15*z + 4*z**3. Let b(j) = 6*j**3 - 16*j**2 + 22*j - 12. Let f(y) = 5*b(y) - 8*q(y). Factor f(g).
-2*(g - 2)*(g - 1)**2
Let m(g) be the third derivative of g**5/210 - g**3/21 + 2*g**2. What is b in m(b) = 0?
-1, 1
Factor 8/3 + 8/3*u + 2/3*u**2.
2*(u + 2)**2/3
Let a(f) be the second derivative of -f**4/8 + 7*f**3/12 + 3*f**2/2 + 34*f. Determine p so that a(p) = 0.
-2/3, 3
Let w = 14 + -9. Let r(d) = -d + 7. Let u be r(w). Solve 4/7*z + u*z**2 + 0 = 0.
-2/7, 0
Let p(m) = -14*m**2 - 20*m - 17. Let f(u) = 7 + 5*u**2 + 3 + 7*u - 4. Let l be (-3)/((-5)/(60/(-9))). Let n(g) = l*p(g) - 11*f(g). Let n(w) = 0. Calculate w.
-2, -1
Let f be (-12)/9*4/((-80)/162). Factor 24/5 - f*h**2 + 36/5*h + 3*h**3.
3*(h - 2)**2*(5*h + 2)/5
Let n(w) be the third derivative of -w**5/60 - w**4/6 - 17*w**2. Let n(j) = 0. Calculate j.
-4, 0
Let f(q) be the third derivative of 0 + 0*q**4 - 4*q**2 + 0*q + 1/300*q**6 - 1/50*q**5 + 4/15*q**3. Find t such that f(t) = 0.
-1, 2
Let k(g) be the third derivative of -g**8/168 - 2*g**7/735 + g**6/30 + 2*g**5/105 - g**4/12 - 2*g**3/21 + 15*g**2. Determine j, given that k(j) = 0.
-1, -2/7, 1
Suppose 0 + 0*d + 3/7*d**3 - 3/7*d**2 = 0. Calculate d.
0, 1
What is v in -1/5*v**4 + 0*v + 0 + 0*v**2 - 1/5*v**3 = 0?
-1, 0
Let d(c) be the third derivative of c**8/168 + c**7/105 - c**6/20 - c**5/30 + c**4/6 - 10*c**2. Find f such that d(f) = 0.
-2, -1, 0, 1
Let q(u) = -8*u**3 - 17*u**2 - u - 1. Let f(c) = -40*c**3 - 84*c**2 - 6*c - 4. Let m = 8 - 5. Let a(r) = m*f(r) - 14*q(r). Factor a(i).
-2*(i + 1)**2*(4*i - 1)
Let t(g) = -6*g**4 + 18*g**2 - 21*g + 9. Let a(p) = 3*p**4 - 9*p**2 + 10*p - 4. Let l(b) = 9*a(b) + 4*t(b). Let l(j) = 0. Calculate j.
-2, 0, 1
Let f(t) = -6*t. Let k be f(1). Let u = k - -6. Find a such that -1/2*a**2 + 0*a + u - 1/2*a**3 = 0.
-1, 0
Let w(a) be the third derivative of 1/3*a**3 + 0*a - 1/1620*a**6 + 0 + 1/540*a**5 + a**2 + 0*a**4. Let n(u) be the first derivative of w(u). Factor n(q).
-2*q*(q - 1)/9
Let u = 5 - 10. Let v(m) = m**2 + 6*m + 7. Let x be v(u). Solve 0*o**5 - 2*o**4 - 2*o**5 + 2*o - 2*o**4 + 4*o**x = 0 for o.
-1, 0, 1
Let k(q) be the first derivative of -q**6/60 + q**2/2 - 3. Let i(m) be the second derivative of k(m). Factor i(c).
-2*c**3
Suppose 2*p + 559 - 181 = 0. Let s = p + 1325/7. Factor -2/7 + 2/7*i**2 + 2/7*i**3 - s*i.
2*(i - 1)*(i + 1)**2/7
Let p(a) be the first derivative of a**6/18 + 2*a**5/15 - 2*a**3/9 - a**2/6 + 4. Factor p(z).
z*(z - 1)*(z + 1)**3/3
Let s(f) = 2*f**3 + 4*f**2 + 6*f - 6. Let p(t) = 3*t**3 + 8*t**2 + 12*t - 11. Let k(y) = 3*p(y) - 5*s(y). Let d be k(5). Factor l**d + l - l.
l**2
Let c(a) be the second derivative of -3*a**5/80 - a**4/24 - 14*a. Factor c(d).
-d**2*(3*d + 2)/4
Let k be (4/2)/(-13 - -5 - -11). Solve -k*l**2 + 4/3*l + 0 = 0.
0, 2
Let t(w) = 2*w**3 - 3*w**2 + w + 3. Let r(l) = -l**3 - l - 1. Let k(q) = -3*r(q) - t(q). Factor k(z).
z*(z + 1)*(z + 2)
Let h(a) be the second derivative of 1/2*a**4 + 3/5*a**5 + 1/3*a**6 + 1/14*a**7 + 0 + 0*a**2 + a + 1/6*a**3. Find c, given that h(c) = 0.
-1, -1/3, 0
Suppose 0 = 5*r + 1 - 71. Let l be (-50)/(-18) - r/(-63). Suppose 8/5 + 6*g**l + 0*g - 38/5*g**2 = 0. Calculate g.
-2/5, 2/3, 1
Let o be (((-3)/(-6))/(-1))/(-1). Solve -1/4*m**3 + o - 5/4*m + m**2 = 0.
1, 2
Let g = 863 + -859. Factor -2/5*j**2 - 2/5*j**3 + 3/5*j - 1/5 + 3/5*j**g - 1/5*j**5.
-(j - 1)**4*(j + 1)/5
Let v(r) be the first derivative of 2*r**3/27 - 2*r/9 - 6. Factor v(n).
2*(n - 1)*(n + 1)/9
Let k(j) = j**3 + 1 + 0*j**2 - j**2 - 2*j**3 - 2*j + j. Let s(d) = -2*d**4 - 3*d**3 + 5*d**2 + 9*d + 5. Let r(f) = k(f) - s(f). Let r(n) = 0. What is n?
-1, 2
Let -26/3*s**2 + 8/3 + 10/3*s**3 + 8/3*s = 0. What is s?
-2/5, 1, 2
Let n be -2 - 4/((-20)/(-35)). Let m = n - -9. Solve 0 + m*r**2 - 2/3*r**3 + 1/3*r**4 + 0*r = 0 for r.
0, 2
Let q(r) be the third derivative of -r**6/120 - r**5/20 + r**3/3 + 3*r**2. Let b be q(-3). Suppose -1/3 - 2/3*c**4 - 1/3*c**3 + 1/3*c + c**b = 0. What is c?
-1, 1/2, 1
Let q(z) = 4*z**4 - 6*z**3 + 12*z**2 - 10*z + 12. Let r(u) = -11*u**4 + 17*u**3 - 36*u**2 + 31*u - 35. Let k(y) = -17*q(y) - 6*r(y). Factor k(x).
-2*(x - 1)**3*(x + 3)
Let d = 6 - 4. Suppose -4*m - 2 + 10 = 0. Suppose -q + 2 + 0*q - q + 2*q**3 - m*q**d = 0. What is q?
-1, 1
Let y = -354 - -7436/21. Let q(i) be the first derivative of -2/7*i + 6/7*i**2 + 8/7*i**4 - 4/3*i**3 + y*i**6 - 2 - 18/35*i**5. Factor q(n).
2*(n - 1)**4*(2*n - 1)/7
Let z(g) be the third derivative of g**5/300 - g**4/60 + g**3/30 - 44*g**2. Factor z(x).
(x - 1)**2/5
Suppose -6*x = -3*x + 372. Let l be (-4)/(-14) - x/7. Let -4*p**5 - 3*p**3 - 2*p**5 + l*p**4 + 15*p - 6*p**5 - 3 - 21*p**2 + 6*p**4 = 0. What is p?
-1, 1/2, 1
Let g(w) be the third derivative of w**7/70 - w**5/10 + w**3/2 + 5*w**2. Let g(k) = 0. Calculate k.
-1, 1
Let j(s) be the first derivative of -1/22*s**4 + 0*s**3 + 0*s**2 + 2 + 0*s - 2/55*s**5. Determine r, given that j(r) = 0.
-1, 0
Suppose -4*q - 12 = 4*n, -3*n - 12 - 7 = 5*q. Factor 0*z - 4/7*z**3 + 2/7*z**n + 0 + 2/7*z**4.
2*z**2*(z - 1)**2/7
What is p in -83*p**2 - 1 + 8*p - 5 + 81*p**2 = 0?
1, 3
Let r(a) be the second derivative of a**7/210 - a**6/40 + a**5/20 - a**4/24 - 3*a**2/2 + 2*a. Let k(o) be the first derivative of r(o). Let k(c) = 0. What is c?
0, 1
Let w(h) be the third derivative of 7*h**2 - 1/48*h**4 + 0*h - 1/360*h**5 + 0 - 1/18*h**3. Solve w(s) = 0 for s.
-2, -1
Let p be (-85)/748*-28 + -1*3. Find i such that -2/11 + 2/11*i**3 - p*i + 2/11*i**2 = 0.
-1, 1
Find w, given that 9*w**3 + 0*w**3 + 19*w**4 + 18*w - 10*w**4 - 3*w**5 - 33*w**2 = 0.
-2, 0, 1, 3
Let q(d) = -d - 3. Let a be q(-7). Factor 8*m + 0 - 5*m**4 + 4*m**2 - 2*m**3 + 1 - a*m - 2*m**5.
-(m - 1)*(m + 1)**3*(2*m + 1)
Let r(z) be the first derivative of -z**3 - 6*z**2 - 12*z + 7. Find d such that r(d) = 0.
-2
Let 2*u**3 + 0 - 2/3*u**2 - 2*u**4 + 0*u + 2/3*u**5 = 0. What is u?
0, 1
Let n(z) = -z**4 - z**3 - 1. Let g(j) = -9*j**4 - 12*j**3 - 3*j**2 - 12. Let m = -27 + 39. Let d(v) = m*n(v) - g(v). Factor d(a).
-3*a**2*(a - 1)*(a + 1)
Let w(i) be the third derivative of 0 + 0*i**3 + 0*i**4 + 1/56*i**8 - i**2 + 1/20*i**7 + 0*i - 1/40*i**5 + 1/40*i**6. Factor w(d).
3*d**2*(d + 1)**2*(4*d - 1)/2
Suppose 20 = 4*i, -6*z + 12 = -5*z + 2*i. Factor -2*m**3 + 2 - m + 3*m - z*m**2 + 0*m**2 + 0*m.
-2*(m - 1)*(m + 1)**2
Let u(f) be the second derivative of 1/30*f**5 + 0*f**2 - 1/9*f**3 - 1/45*f**6 + 0 + 1/18*f**4 - 3*f. Find s, given that u(s) = 0.
-1, 0, 1
Let o(b) be the third derivative of -b**6/160 + b**5/16 - b**4/4 + b**3/2 - 22*b**2. Factor o(a).
-3*(a - 2)**2*(a - 1)/4
Let h(p) = -p**2 - 4*p + 4. Let j be h(-4). Let n(z) be the second derivative of 0*z**2 - 1/60*z**5 + 0*z**j + 1/18*z**3 - z + 0. Factor n(x).
-x*(x - 1)*(x + 1)/3
Let u(h) = 25*h**5 + 49*h**4 + 28*h**3 + 4*h**2 + 4*h. Let x(j) = -25*j**5 - 48*j**4 - 27*j**3 - 4*j**2 - 3*j. Let f(g) = -3*u(g) - 4*x(g). Factor f(c).
c**2*(c + 1)*(5*c + 2)**2
Suppose -16 = 2*n + 4*o, -2 = 4*n + o + o. Factor 9*p**2 - 21*p**3 + 36*p - 12 + 20*p**2 - 2*p**n.
-3*(p - 2)*(p + 1)*(7*p - 2)
Suppose -2*w = -3*w - 3*f + 14, -f + 4 = 0. Let n(l) be the third derivative of -3*l**w + 0*l**3 - 1/72*l**4 - 1/180*l**5 + 0*l + 0. Solve n(b) = 0.
-1, 0
Let a(r) be the third derivative of -4*r**7/35 + r**6/10 - r**5/40 - 3*r**2. Solve a(y) = 0 for y.
0, 1/4
Let d = 135 + -133. Suppose 4 = -2*j + 10. Suppose 2/5*h**d - 2/5 - 4/5*h + 4/5*h**j = 0. Wh