**4 + 7/360*s**6 + 1 + 0*s**3 + 1/15*s**5. Let x(d) be the second derivative of t(d). Factor x(w).
w*(w + 2)*(7*w - 2)/3
Let g(w) be the second derivative of 0*w**5 + 25*w + 0 + 0*w**3 + 0*w**2 + 1/45*w**6 - 1/18*w**4. Let g(x) = 0. Calculate x.
-1, 0, 1
Let o = -222 + 637. What is k in 397*k**2 + 85*k - o*k**2 + k**3 - 4*k = 0?
0, 9
Let s be (-6)/34 + (-150660)/(-137020). Let 2/13*h**2 - s*h + 18/13 = 0. Calculate h.
3
Suppose -2 = -3*r + 19. Let l = r + -5. Let -j**5 + 2*j**4 + j - 19*j**3 - 2*j**l + 19*j**3 = 0. Calculate j.
-1, 0, 1
Let b(p) = 3*p**3 + 21*p**2 - 32*p. Let s(l) = 4*l**3 + 22*l**2 - 32*l. Let j(k) = -6*b(k) + 5*s(k). Factor j(d).
2*d*(d - 4)**2
Let u = 229 + -220. Suppose 0 = -169*z + 172*z - u. Factor -4/7*c**z + 4/7*c + 0*c**2 + 0.
-4*c*(c - 1)*(c + 1)/7
Solve -37 - 18*u**3 - 45 + 15*u**3 + 28 - 63*u - 24*u**2 = 0.
-3, -2
Let w be (9*18/(-324))/((-1)/6). Determine o so that 1/3*o**w - 7/3*o**2 - 3 + 5*o = 0.
1, 3
Let y(s) be the first derivative of -s**4 + 16*s**3/3 - 2*s**2 - 24*s + 343. Solve y(p) = 0 for p.
-1, 2, 3
Factor -132*l**2 - 130*l**2 - 72900 - 325*l + 1405*l + 258*l**2.
-4*(l - 135)**2
Let x be (0 + 1)*-1 - -4*5. Suppose 5*v - x = -2*l, -5*v + 3 = -4*l - 4. Factor -3/2 - 1/2*z**l + 2*z.
-(z - 3)*(z - 1)/2
Let x(d) be the second derivative of -3*d**4/4 - 14*d**3 + 30*d**2 - 2*d. Factor x(m).
-3*(m + 10)*(3*m - 2)
Let g(s) = 5*s**2 + s + 12. Let z(x) = -4*x**2 + x - 13. Let o(m) = -m**2 - m. Let y(l) = -2*o(l) - z(l). Let i(c) = -7*g(c) + 6*y(c). Solve i(n) = 0 for n.
-2, 3
Let j be (-26)/(-80) + (-40)/320. Let h(k) be the first derivative of -1 + 0*k - j*k**2 + 2/15*k**3. Factor h(d).
2*d*(d - 1)/5
Let j = 378/13 + -2959/104. Let -1/8*n**2 + j*n - 1/2 = 0. Calculate n.
1, 4
Let y be -3 - (-3)/3*(6 - 1). Suppose y*w = -3*w. Factor -9/4*r**2 + 3/4*r + w - 3/4*r**4 + 9/4*r**3.
-3*r*(r - 1)**3/4
Let p(k) be the second derivative of k**6/75 + 2*k**5/25 + k**4/10 + 6*k + 1. Determine t, given that p(t) = 0.
-3, -1, 0
Let g = 1106/15 + -1096/15. Factor g*a**5 + 18*a**3 + 0 + 18*a**2 + 0*a + 6*a**4.
2*a**2*(a + 3)**3/3
Let v(s) be the third derivative of 0*s - 1/120*s**5 + 0*s**4 + 0 + s**3 + 0*s**6 + 1/840*s**7 + s**2. Let a(x) be the first derivative of v(x). Factor a(m).
m*(m - 1)*(m + 1)
Let k(r) = r**5 - r**4 - r**3 - r. Let l(y) = -6*y**5 + 31*y**4 - 106*y**3 + 122*y**2 + 97*y - 168. Let w(g) = 15*k(g) + 3*l(g). Factor w(s).
-3*(s - 21)*(s - 2)**3*(s + 1)
Determine d, given that -317*d**2 + 15*d**4 + 6*d**3 - 10*d - d**3 + 5*d**5 + 302*d**2 + 0*d**5 + 0*d**5 = 0.
-2, -1, 0, 1
Let w be (-4)/(-4) + 0 + 3. Factor 8*r**2 - 8*r**w - 8*r**3 + 0*r + 0*r + 4*r**5 + 4*r**3.
4*r**2*(r - 2)*(r - 1)*(r + 1)
Let j(s) = -85*s**2 + 85*s - 25. Let l(a) = 7*a**2 - 7*a + 2. Let n(c) = 2*j(c) + 25*l(c). Determine w so that n(w) = 0.
0, 1
Let x(t) be the second derivative of -t**4/3 - 2*t**3 + 20*t**2 - 50*t. Factor x(i).
-4*(i - 2)*(i + 5)
Let h(c) = -3*c**4 + 4*c**3 + 15*c**2 - 4*c - 2. Let r(p) = 12*p**4 - 15*p**3 - 60*p**2 + 15*p + 6. Let s(k) = 21*h(k) + 5*r(k). What is f in s(f) = 0?
-1, 1, 4
Let u be (((-36)/30 - 18/(-15))/2)/1. Factor u*a - 20/3*a**2 + 0 - 4/3*a**3.
-4*a**2*(a + 5)/3
Let l(m) = m**4 - m**3 + m**2 + 1. Let u = -1 + 0. Let x(w) = 3*w**2 + 1 + 0*w**2 - w**4 - 4*w**3 + 0 + 3*w**4. Let c(q) = u*l(q) + x(q). Factor c(n).
n**2*(n - 2)*(n - 1)
Suppose -3*y - 10 + 7 = 0. Let a(d) = d**3 - 2*d - 1. Let t be a(y). Factor t*u + 0 - 4/7*u**5 + 0*u**2 + 1/7*u**3 - 3/7*u**4.
-u**3*(u + 1)*(4*u - 1)/7
Let p be 114/36*2*(0 + -6). Let k = -151/4 - p. Factor -1/2*h**3 - 1/4*h**4 + 0*h**2 + 1/2*h + k.
-(h - 1)*(h + 1)**3/4
Let m(c) be the third derivative of -c**8/2688 + c**7/1680 + 3*c**6/320 - 13*c**5/480 - c**4/24 + c**3/4 - 171*c**2 + c. Suppose m(h) = 0. What is h?
-3, -1, 1, 2
Let -33*g - 38*g + 109*g - 36*g - 3*g**2 = 0. What is g?
0, 2/3
Let i(t) be the third derivative of -t**8/448 - t**7/105 + t**5/24 + t**4/32 - t**3/12 + 45*t**2. Determine g, given that i(g) = 0.
-2, -1, 1/3, 1
Suppose 3*r = -4*f + 106, -3*f + 1 = -r + 19. Let p be (0 + (-6)/15)*(-25)/r. Let -x**2 + x - 1/3 + p*x**3 = 0. What is x?
1
Suppose -7*t + 10 + 32 = 0. Factor -12*u**2 + 3*u + 3*u**3 - t*u + 0*u**3 + 12.
3*(u - 4)*(u - 1)*(u + 1)
Suppose -3/2*u**2 - 18 + 12*u = 0. What is u?
2, 6
Factor -2/7 + 2/21*l**2 - 4/21*l.
2*(l - 3)*(l + 1)/21
Let q(m) be the first derivative of -3*m**4/4 - 6*m**3 - 18*m**2 - 24*m + 140. Solve q(z) = 0.
-2
Let y(k) be the second derivative of -2*k**7/21 - 4*k**6/15 - k**5/5 - 390*k. Solve y(m) = 0 for m.
-1, 0
Let g(i) be the first derivative of 5*i**7/147 + 4*i**6/35 + 2*i**5/35 + 11*i - 3. Let x(q) be the first derivative of g(q). Let x(c) = 0. What is c?
-2, -2/5, 0
Let v(d) be the third derivative of -d**7/3360 - 23*d**3/6 + 6*d**2. Let w(m) be the first derivative of v(m). Factor w(a).
-a**3/4
Let j(l) = -3*l**5 + 11*l**4 + 40*l**3 - 84*l**2 + 44*l - 8. Let q(w) = 2*w**4 + w**3 - w - 2. Let h(y) = j(y) - 4*q(y). Find s, given that h(s) = 0.
-4, 0, 1, 2
Let l(u) be the second derivative of -1/4*u**4 + 3*u**3 - 12*u**2 - 15*u + 0. Factor l(q).
-3*(q - 4)*(q - 2)
Let n = 49/146 - 1/438. Let w(h) be the first derivative of 6 + 1/5*h**5 + 0*h**2 + 0*h - n*h**3 + 0*h**4. Factor w(l).
l**2*(l - 1)*(l + 1)
Let s be (-2 - (-10 - -4)) + -4. Let k(x) be the first derivative of -1/2*x**2 - 8 + s*x - 1/4*x**4 - 2/3*x**3. Factor k(i).
-i*(i + 1)**2
Let v(t) = -3*t**4 - 51*t**3 + 24*t**2 + 13*t - 13. Let r(u) = u**4 + 26*u**3 - 12*u**2 - 6*u + 6. Let s(f) = 13*r(f) + 6*v(f). Factor s(b).
-b**2*(b - 6)*(5*b - 2)
Let w(h) be the third derivative of -h**9/45360 + h**8/5040 - h**7/1890 + 13*h**4/24 - 10*h**2. Let k(c) be the second derivative of w(c). Factor k(t).
-t**2*(t - 2)**2/3
Let t(q) be the second derivative of 20/9*q**3 + 18*q - 1/18*q**4 + 0 - 100/3*q**2. Factor t(k).
-2*(k - 10)**2/3
Solve 41 - 1 + 100*l - 130*l**2 + 6755*l**3 - 6720*l**3 = 0.
-2/7, 2
Let c = 28 + -31. Let w be 3/(c - -2)*(-6)/27. Solve 2/3*v**3 - w*v + 0*v**2 + 0 = 0.
-1, 0, 1
Let k(b) be the third derivative of 1/420*b**6 + 0*b**3 + 0 + 0*b + 4/315*b**5 + 1/63*b**4 + 5*b**2. Let k(h) = 0. Calculate h.
-2, -2/3, 0
Let q(j) = 16*j**4 + 3*j**3 + 3*j**2 + 7*j - 9. Let s(g) = -7*g**4 - g**3 - g**2 - 3*g + 4. Let x(r) = -4*q(r) - 9*s(r). Factor x(w).
-w*(w + 1)**3
Let s(m) = 19*m**3 + 86*m**2 + 45*m + 22. Let d(n) = 5*n**3 + 22*n**2 + 11*n + 6. Let r(t) = 22*d(t) - 6*s(t). Determine v so that r(v) = 0.
-7, -1, 0
Let s be 2 + 2 - (2 - 4). Solve 5*l + s*l - l**3 + 4*l**2 - 6*l - 8*l = 0 for l.
0, 1, 3
Suppose -4*q + 1/4*q**4 - 9/4*q**3 + 0 + 6*q**2 = 0. What is q?
0, 1, 4
Factor -21*w**2 + 0*w**3 + 5*w**2 + 2*w**3 + 4*w**2.
2*w**2*(w - 6)
Let t(b) = 7*b**5 + 11*b**4 - 10*b**2 - 8*b + 6. Let z(h) = -6*h**5 - 10*h**4 - h**3 + 9*h**2 + 8*h - 5. Let p(l) = -5*t(l) - 6*z(l). Factor p(r).
r*(r - 1)*(r + 2)**3
Let -115/3*l - 5/3*l**2 - 110/3 = 0. Calculate l.
-22, -1
Factor -r**4 - 8 + 94*r**3 + 3*r**2 - 12*r + 8*r**2 - 92*r**3 - 28.
-(r - 3)**2*(r + 2)**2
Let j(d) = -24*d**3 + 222*d**2 - 495*d + 240. Let l(v) = 12*v**3 - 110*v**2 + 247*v - 120. Let p(r) = 3*j(r) + 7*l(r). Factor p(u).
4*(u - 5)*(u - 3)*(3*u - 2)
Let s(i) be the first derivative of -i**5/240 + i**4/24 - i**3/8 + 4*i**2 - 10. Let q(x) be the second derivative of s(x). Factor q(y).
-(y - 3)*(y - 1)/4
Suppose -4*j = 5*x, 0 = 13*x - 10*x + 4*j. Solve 2/17*t**4 + 0 - 2/17*t**5 + x*t + 0*t**2 + 4/17*t**3 = 0.
-1, 0, 2
Let n = 26023/63452 + -31/547. Let t = -3/29 + n. Factor -1/2 - s**2 + t*s**3 + 5/4*s.
(s - 2)*(s - 1)**2/4
Let h = -12350 - -12354. Factor 10/3*t**h + 0 - 2/3*t**5 - 14/3*t**3 + 2*t**2 + 0*t.
-2*t**2*(t - 3)*(t - 1)**2/3
Let j(x) be the second derivative of 2/3*x**3 + x**2 - 6 - 1/8*x**5 - 5*x - 7/24*x**4. Find w such that j(w) = 0.
-2, -2/5, 1
Let y(r) be the first derivative of 1/2*r**3 + 3 + r + 1/2*r**4 + 3/20*r**5 + 0*r**2. Let j(i) be the first derivative of y(i). Factor j(m).
3*m*(m + 1)**2
Factor 68 + 44*z**2 - 50*z - 258*z - 35*z**2.
(z - 34)*(9*z - 2)
Let f(i) = -5*i - 8. Let l be f(-5). Let a = l - 16. Determine y so that -7*y**2 - 15*y**2 - a + 2 + 21*y**2 = 0.
-1, 1
Let j be (-18)/15*(176/32 + -8). Factor 12/5*n**2 + 3/5*n**j + 0*n + 0.
3*n**2*(n + 4)/5
Suppose -16*r + 65 -