68 - n**6/40 - 3*n**5/80 - n**4/48 + 9*n. Factor h(u).
-u**2*(u + 1)**3/4
Let q(l) = -4*l**2 - 3*l - 10. Let v(k) = 5*k**2 + 3*k + 12. Let h(j) = 6*q(j) + 5*v(j). Factor h(m).
m*(m - 3)
Let h(i) be the second derivative of i**6/2 - i**5/4 - 15*i**4/4 + 15*i**3/2 - 5*i**2 + 11*i. Factor h(k).
5*(k - 1)**2*(k + 2)*(3*k - 1)
Factor -32/5*j**3 - 14/5*j**4 - 22/5*j**2 - 4/5*j + 0.
-2*j*(j + 1)**2*(7*j + 2)/5
Let d(t) be the first derivative of t**6/450 - t**4/30 + t**3/3 - 6. Let x(f) be the third derivative of d(f). Factor x(k).
4*(k - 1)*(k + 1)/5
Factor 2/9*y**2 + 2/9 - 4/9*y.
2*(y - 1)**2/9
Let a(j) be the second derivative of -2*j**7/21 + 2*j**6/15 - j. What is o in a(o) = 0?
0, 1
Let y be ((-3 - -1)/(-4))/((-5)/(-20)). Find v, given that v**2 - 7/2*v**3 + y*v**4 + 1/2*v + 0 = 0.
-1/4, 0, 1
Let p(d) be the third derivative of d**4/12 - 2*d**3/3 + 2*d**2. Let i be p(3). Factor 2*a**2 + i*a**5 - 2*a**4 - 5*a - 2*a**3 + 5*a.
2*a**2*(a - 1)**2*(a + 1)
Determine l so that 14*l**4 + 0*l**4 - 1 + 12*l**3 - 12*l - 16*l**2 + 3 = 0.
-1, 1/7, 1
Let k(o) be the second derivative of -o**4/32 - 3*o**3/16 - 3*o**2/8 + 2*o. Suppose k(n) = 0. Calculate n.
-2, -1
Factor 1/6*a**3 + 0 + 0*a + 1/6*a**2.
a**2*(a + 1)/6
Let n = -4/27 + 193/756. Let h = n + 153/140. Factor 3/5*r**2 + h - 9/5*r.
3*(r - 2)*(r - 1)/5
Let d(u) be the third derivative of 2/525*u**7 - 6*u**2 - 1/75*u**5 + 0*u - 1/60*u**4 + 0*u**6 + 1/840*u**8 + 0 + 0*u**3. Factor d(v).
2*v*(v - 1)*(v + 1)**3/5
Let s = -38 + 38. Let o(c) be the third derivative of 0*c + 0 + 1/90*c**5 + 0*c**4 + s*c**3 + 1/60*c**6 + 1/504*c**8 + 1/105*c**7 - 3*c**2. Factor o(t).
2*t**2*(t + 1)**3/3
Let m(w) be the third derivative of -1/300*w**5 - 2/15*w**3 + 1/30*w**4 + 0*w + 0 + 2*w**2. Factor m(z).
-(z - 2)**2/5
Suppose 4*m - 6*m - 8 = -4*p, p - 2*m - 2 = 0. Suppose 5*w = p*w. Let w*y**4 + 4/9*y**3 - 2/9*y + 0*y**2 + 0 - 2/9*y**5 = 0. What is y?
-1, 0, 1
Suppose 17/8*p**4 - 13/8*p**2 - 1/2 + 2*p - 5/8*p**5 - 11/8*p**3 = 0. What is p?
-1, 2/5, 1, 2
Let z = -22 + 16. Let i be (3 + 15/z)*0. Find l such that 0 + 1/2*l**3 + i*l**2 - 1/2*l = 0.
-1, 0, 1
What is g in 6 + 9*g**2 + 7*g + 0*g**3 + 8*g - 3*g**4 - 3*g**3 = 0?
-1, 2
Let j(c) be the third derivative of 0 + 0*c**3 - 1/64*c**4 + 8*c**2 + 0*c - 1/160*c**5. Determine i so that j(i) = 0.
-1, 0
Let i be (-596)/(-176) - (2 - (-9)/(-4)). Factor -6*j**2 - 40/11*j - 8/11 - i*j**3 - 8/11*j**4.
-2*(j + 2)**2*(2*j + 1)**2/11
Let p be -14*2/4*-1. Let d = p + -3. Factor 3*v**3 - v**2 + 0*v**2 + d*v**2 + v**4 + v.
v*(v + 1)**3
Let y(f) = -f**2 + 4. Let q = -10 + 7. Let c(m) = -m**2 + 5. Let p(g) = q*c(g) + 4*y(g). Determine a, given that p(a) = 0.
-1, 1
Let o(d) be the third derivative of d**7/126 - 5*d**6/72 + d**5/4 - 35*d**4/72 + 5*d**3/9 - 15*d**2. Find n such that o(n) = 0.
1, 2
Suppose -c + 0*c = -3. Determine l, given that 3*l**2 - 3*l**c - 2*l**2 + 5*l**2 - 3*l = 0.
0, 1
Let w(t) = -2*t**4 - 2*t**3 + t + 4. Let i(m) = 5*m**4 + 4*m**3 - m**2 - m - 8. Let j(o) = 3*i(o) + 7*w(o). Factor j(a).
(a - 2)**2*(a + 1)**2
Let w(m) be the first derivative of 0*m**4 + 0*m**2 + 3 + 0*m**3 + 0*m + 1/21*m**6 + 4/35*m**5. Factor w(d).
2*d**4*(d + 2)/7
Let m be (-10)/45*-3 + 2/3. Let 2/3*h**2 + 4/3*h**3 - m*h + 0 - 2/3*h**4 = 0. Calculate h.
-1, 0, 1, 2
Let p(x) be the second derivative of -x**7/315 - x**2/2 - x. Let z(a) be the first derivative of p(a). Let z(q) = 0. What is q?
0
Let q(t) = t**2 - 3*t - 5. Let h be q(5). Find p such that 6*p + 7*p**2 + h*p**3 + 2*p**2 - 2*p**3 = 0.
-2, -1, 0
Let m = 17 - 17. Find w such that -1/3 + 1/3*w**2 + m*w = 0.
-1, 1
Suppose -4*u + 2 = -3*u. Let v(z) be the first derivative of 2 - 1/15*z**3 + 0*z - 1/5*z**u. Factor v(i).
-i*(i + 2)/5
Let b(w) = w**3 - 8*w**2 + 8*w - 8. Let u be b(7). Let p be (2 + -2 - 2)*u. Determine j, given that 5*j**4 + 2*j**3 - 2 - 4*j - 3*j**4 + p*j**3 = 0.
-1, 1
Suppose -9 = w + v, -6*v + 6 = w - 2*v. Let p = -14 - w. Factor -4/3*i**3 - 2/3*i**4 + p - 2/3*i**2 + 0*i.
-2*i**2*(i + 1)**2/3
Let b(o) be the third derivative of -o**5/570 + 4*o**3/57 + 23*o**2. Factor b(h).
-2*(h - 2)*(h + 2)/19
Factor -24*o + 10*o**2 + 72/5.
2*(5*o - 6)**2/5
Factor -2/5*l**3 + 4/5*l**2 + 2/5*l - 4/5.
-2*(l - 2)*(l - 1)*(l + 1)/5
Suppose -3*p = 8*p - 11. Let n(y) be the first derivative of 2*y**2 + 0*y + p + 2/3*y**3 - 2/5*y**5 - y**4. Find j such that n(j) = 0.
-2, -1, 0, 1
Let r(l) = l**3 + 4*l**2 - 5*l + 4. Let m be r(-5). Find w such that -w**4 + w**2 + 3*w**2 - w**m - 2 = 0.
-1, 1
Let s(f) = -8*f**4 - 29*f**3 - 21*f**2. Let x(w) = -4*w**4 - 14*w**3 - 10*w**2. Let o(b) = -2*s(b) + 5*x(b). Factor o(t).
-4*t**2*(t + 1)*(t + 2)
Let t be -2*2/8 + (9 - 8). What is q in t - 3/4*q + 1/4*q**2 = 0?
1, 2
Let w(v) be the first derivative of 1 - 1/60*v**4 + 0*v**3 + 0*v + 1/150*v**5 + 1/2*v**2. Let a(i) be the second derivative of w(i). Solve a(h) = 0.
0, 1
Let o(w) be the second derivative of -w**6/60 + w**5/8 - w**4/4 - w**3/3 + 2*w**2 - w. Suppose o(q) = 0. What is q?
-1, 2
Let a(s) be the second derivative of -1/30*s**6 + 0*s**2 + 0*s**5 - s + 1/12*s**4 + 0 + 1/12*s**3 - 1/84*s**7. Determine g so that a(g) = 0.
-1, 0, 1
Suppose 0*l - 2*k = l + 3, -3 = k. Suppose 0*i + 6 = 3*i. Find v, given that 0 + 0*v**l + 0*v - 2/5*v**i + 2/5*v**4 = 0.
-1, 0, 1
Let f = -23 + 8. Let b be (8/6)/((-5)/f). Factor 0*m + 2/5*m**2 + 0*m**3 - 2/5*m**b + 0.
-2*m**2*(m - 1)*(m + 1)/5
Let m(q) = 5*q**3 - 21*q**2 + 19*q + 45. Let y(v) = -5*v**3 + 22*v**2 - 18*v - 45. Let h(k) = -3*m(k) - 4*y(k). Factor h(j).
5*(j - 3)**2*(j + 1)
Let l(q) = -7*q**5 - 14*q**4 - 3*q**3 + 13*q**2 + 10*q + 2. Let v(n) = -n**3 + 0*n**3 - n**2 + 0*n**5 + n**5. Let r(i) = -l(i) - v(i). Factor r(d).
2*(d - 1)*(d + 1)**3*(3*d + 1)
Let c = -11 + 14. Let -10/7*f**2 + 0 - 4/7*f**c + 10/7*f**4 + 4/7*f = 0. Calculate f.
-1, 0, 2/5, 1
Let a(c) = -c**2 + 7*c - 2. Let u be a(6). Determine s so that -u*s**3 + 2*s - 4*s**3 + 2*s**5 + 4*s**3 = 0.
-1, 0, 1
Factor 9*n**3 + 5*n**4 + 2*n + 20*n**5 + 7*n**2 - 19*n**5 + 0*n.
n*(n + 1)**3*(n + 2)
Let p = -1771/9 + 197. Suppose 9*m = 4*m + 15. Find r, given that 8/9*r**m - 4/3*r**2 - p - 2/9*r**4 + 8/9*r = 0.
1
Suppose 13*i = -i + 4*i. Factor 0*v**2 - 4/5*v**4 + 0*v**3 + i + 0*v - 4/5*v**5.
-4*v**4*(v + 1)/5
Let w(o) = -199*o**4 + 893*o**3 - 1245*o**2 + 512*o - 64. Let h(r) = 200*r**4 - 892*r**3 + 1244*r**2 - 512*r + 64. Let d(l) = -3*h(l) - 4*w(l). Factor d(p).
4*(p - 2)**2*(7*p - 2)**2
Let p(c) be the second derivative of c**5/30 - c**4/4 + 2*c**3/3 - c**2 + 2*c. Let n(o) be the first derivative of p(o). Find w such that n(w) = 0.
1, 2
Let g(s) be the second derivative of -1/24*s**4 - s - 3/40*s**5 + 0 - 1/20*s**6 + 0*s**3 - 1/84*s**7 + 0*s**2. Factor g(b).
-b**2*(b + 1)**3/2
Let y = -77/18 + 9/2. Factor -y*d - 2/9*d**2 + 2/9*d**4 + 2/9*d**3 + 0.
2*d*(d - 1)*(d + 1)**2/9
Let a = 4 - 2. Suppose -x - 2 + 9 = c, 0 = -3*c - 4*x + 25. Factor -2*d + 0*d + a*d**c + 2*d**3 - 2*d**5.
-2*d*(d - 1)**2*(d + 1)**2
Let w be ((-21)/15 - -2)*8/12. Factor -2/5*t - w*t**2 + 4/5.
-2*(t - 1)*(t + 2)/5
Let y = 127/2 + -63. Let f(m) be the second derivative of 0 - 4*m**2 + 0*m**3 - 1/10*m**5 - m + y*m**4. Suppose f(s) = 0. What is s?
-1, 2
Let d be 1*-7 + 899/124. Find x such that 0*x**3 + 0 - d*x**2 + 0*x + 1/4*x**4 = 0.
-1, 0, 1
Let t(j) = 2*j - 9. Let g be t(7). Let c(l) = -l**2 + 4*l + 7. Let x be c(g). Solve 0 - 2*y - 13*y**2 + 12*y**x - 4 + 6*y = 0.
2
Let t(j) be the first derivative of -j**4/4 + 3*j**2/2 - 5*j - 2. Let a(z) be the first derivative of t(z). Suppose a(p) = 0. What is p?
-1, 1
Let q be -1 - 0 - -2 - -1. Factor -5 + 8*h - 2*h + q - 6*h**3 + 3*h**4.
3*(h - 1)**3*(h + 1)
Let h be (-6)/130*31/(-3). Let n = -1/13 + h. Determine g, given that 2/5*g**2 - 2/5 + 2/5*g**3 - n*g = 0.
-1, 1
Let i be (-48)/20*(-1)/4 + 0. Factor 1/5*y**3 + 0*y - i*y**5 - 4/5*y**4 + 0 + 2/5*y**2.
-y**2*(y + 1)**2*(3*y - 2)/5
Let c = -107/3 + 541/15. Suppose c - 4/5*b - 6/5*b**2 = 0. What is b?
-1, 1/3
Let x(z) = -z**3 - 9*z**2 + z + 11. Let a be x(-9). Let j(f) be the second derivative of -5/3*f**4 + 0 + 2/5*f**5 + 17/12*f**3 - f - 1/2*f**a. Factor j(i).
(i - 2)*(4*i - 1)**2/2
Let j(m) be the first derivative of m**6/9 - 2*m**5/5 + m**4/2 - 2*m**3/9 + 5. Factor j(h).
2*h**2*(h - 1)**3/3
Let l(s) be the