*d**2 + 2*d**w + 2 + 3*d**3 = 0.
-1, 1/4, 2/3
Let v(z) be the second derivative of -z**7/126 + z**6/90 + z**5/20 - 5*z**4/36 + z**3/9 - 9*z - 2. Factor v(w).
-w*(w - 1)**3*(w + 2)/3
Let w = 44 - 50. Let z(k) = k + 10. Let d be z(w). Determine s so that 0 + 2/5*s**2 + 1/5*s**5 + 0*s**3 - 1/5*s - 2/5*s**d = 0.
-1, 0, 1
Let y(p) be the third derivative of p**7/1155 - p**6/165 + p**5/110 - 54*p**2. Factor y(j).
2*j**2*(j - 3)*(j - 1)/11
Let q be (-80)/100 - 148/(-10). Suppose q*x - 9*x = 0. Factor 9*t**2 + 4*t**3 + 6*t - t**3 + x*t**3 + 0*t**2.
3*t*(t + 1)*(t + 2)
Let g(l) be the third derivative of 2/15*l**5 + 0*l**3 + l**2 + 0 + 0*l + 1/168*l**8 + 2/15*l**6 + 1/21*l**7 + 0*l**4. Find b, given that g(b) = 0.
-2, -1, 0
Let h(j) be the third derivative of -j**8/1512 + j**7/189 - j**6/60 + 7*j**5/270 - j**4/54 - 36*j**2 + 3. Let h(u) = 0. Calculate u.
0, 1, 2
Let a(n) = -n**2 + 7*n - 6. Let r be a(5). Factor -9*j**5 + 29*j**4 + 15*j**3 + 12*j**5 + 6*j**2 - 17*j**r.
3*j**2*(j + 1)**2*(j + 2)
Let a(p) be the third derivative of p**6/24 - p**5/12 - 5*p**4/24 + 5*p**3/6 + 40*p**2. Find m such that a(m) = 0.
-1, 1
Let z be (35/15)/7*-3. Let l(i) = i**3 + i**2 + 1. Let u(s) = 3*s**3 - 3*s**2 + 8*s - 2. Let w(r) = z*u(r) + 2*l(r). Determine v so that w(v) = 0.
1, 2
Let o(p) be the third derivative of -p**8/1680 - p**7/630 - p**4/3 - 11*p**2. Let y(t) be the second derivative of o(t). Factor y(n).
-4*n**2*(n + 1)
Let d be 20/30 - (-38)/6. Determine h so that -31*h + 4*h**2 + 27*h**3 + 56*h - 29*h + d*h**5 + 26*h**4 = 0.
-2, -1, 0, 2/7
Let v be (-92)/(-276)*6/4. Solve 0 + 0*t**2 + 1/2*t**3 - v*t = 0.
-1, 0, 1
Let s(q) = -2*q**4 - 7*q**3 + q + 4. Let f(u) = -u**3 + 4 - u**4 - 20 + 9 + 8. Let j(i) = -4*f(i) + s(i). Let j(b) = 0. Calculate b.
-1/2, 0, 1
Let s(f) = -6*f**2 - 50*f - 14. Let n be s(-8). Factor 25/2*x**n + 55*x + 20.
5*(x + 4)*(5*x + 2)/2
Let r(d) be the first derivative of -1/3*d**2 + 2/9*d**3 + 0*d - 6. Find x such that r(x) = 0.
0, 1
Let y(j) = -j**2 + 44*j - 619. Let q(k) = -2*k**2 + 87*k - 1237. Let t(s) = -6*q(s) + 13*y(s). Factor t(x).
-(x - 25)**2
Let c be (517/22)/((-2)/(-4)). Suppose -4*w = -c + 11. Factor w - 1 - 3*f**2 - f**2 + 2*f**2.
-2*(f - 2)*(f + 2)
Factor 0 - 22/7*i**2 + 24/7*i**3 - 2/7*i**4 + 0*i.
-2*i**2*(i - 11)*(i - 1)/7
Determine o, given that -13*o + 9*o + 4*o**5 + 6*o**4 + 11*o**4 - 17*o**2 = 0.
-4, -1, -1/4, 0, 1
Let c = -96 + 136. Factor -c - 3*f**2 - 23*f - 7*f + 4*f**2 - 6*f**2.
-5*(f + 2)*(f + 4)
Let h(w) = -w**3 + 10*w**2 + w - 1. Let y be h(10). Factor -5 + 3*m + m**2 - 3 - 5*m**2 + y*m.
-4*(m - 2)*(m - 1)
Let l(t) be the third derivative of -t**8/84 + 4*t**7/105 + 2*t**6/15 - 8*t**5/15 + 16*t**2 + 6*t. Let l(k) = 0. What is k?
-2, 0, 2
Suppose 5*l + 1635 = 620. Let r = 1018/5 + l. Factor -3/5*c**4 + 3/5*c**2 - 3/5*c + r*c**3 + 0.
-3*c*(c - 1)**2*(c + 1)/5
Let b(l) = -l + 1. Let o(w) = w**2 + 4*w - 4. Let s(u) = -4*b(u) - o(u). Let v(p) = 5*p**3 + 8*p**2 - 40*p - 60. Let q(z) = 3*s(z) + v(z). Factor q(y).
5*(y - 3)*(y + 2)**2
Let o be 4/2 - (2 - (-2 + -5)). Let d be (4/o)/((-18)/21). Factor -1/3*h**4 + 0*h - d*h**3 + 0 - 1/3*h**2.
-h**2*(h + 1)**2/3
Let s = 29275 + -146373/5. Factor -6/5*u**2 + 4/5 + 2/5*u - 2/5*u**3 + s*u**4.
2*(u - 2)*(u - 1)*(u + 1)**2/5
Let l = 1086 - 1084. Factor 0 + 3/5*q**l + 3/5*q.
3*q*(q + 1)/5
Let y = -21931 + 21935. What is c in 20/3*c + 8/3 - 32/3*c**3 + 4*c**5 + 16/3*c**y - 8*c**2 = 0?
-2, -1, -1/3, 1
Let n(p) = p**2 + 240*p - 14167. Let l(u) = 6*u**2 + 1201*u - 70838. Let v(y) = 2*l(y) - 11*n(y). Factor v(c).
(c - 119)**2
Let t(h) be the first derivative of h**5/30 + 5*h**4/9 + 11*h**3/3 + 12*h**2 + 28*h - 14. Let b(y) be the first derivative of t(y). Factor b(d).
2*(d + 3)**2*(d + 4)/3
Let q(j) = 7*j**4 - 2*j**3 - 3*j**2 + 10*j + 10. Let l(h) = 15*h**4 - 4*h**3 - 6*h**2 + 21*h + 21. Let s(n) = 6*l(n) - 13*q(n). Factor s(d).
-(d - 2)**2*(d + 1)**2
Suppose -2*y - 4*w = -36, -y + 2*y = w + 15. Suppose y = -3*d - 4*h, -4*h + 5 = d + 21. Suppose 3*b - b + d*b**2 - 2*b**2 = 0. What is b?
0, 1
Find w such that 33/4*w**3 + 0 + 3/4*w**5 - 9/2*w**4 - 9/2*w**2 + 0*w = 0.
0, 1, 2, 3
Determine l, given that 40/7 + 2*l**2 + 1/7*l**3 + 44/7*l = 0.
-10, -2
Let b be 10/9*(-20 + (-2544)/(-120)). Let b*k**2 + 4/3 + 8/3*k = 0. What is k?
-1
Let n be ((-375)/25)/(-105)*(4 + 0). Factor -1/7 + n*k**2 + 3/7*k.
(k + 1)*(4*k - 1)/7
Let c(m) be the second derivative of -m**4/6 - 19*m**3 - m - 56. Solve c(l) = 0 for l.
-57, 0
Let d = -1375 + 1378. Let l = 2 + -2. Factor 2/7*m**2 + l - 12/7*m**d + 2/7*m.
-2*m*(2*m - 1)*(3*m + 1)/7
Solve 24*z**4 + z**5 - 9*z**2 + 0*z**3 - 4*z**3 + 2*z**2 + 3*z**5 - 17*z**2 = 0.
-6, -1, 0, 1
Let c(o) = -10*o**2 + 2*o - 9. Let w(h) = -16*h**2 + 4*h - 19. Let p(m) = -5*c(m) + 3*w(m). Factor p(g).
2*(g - 2)*(g + 3)
Let p(b) = b**4 + b**3 + 4*b**2 - 6*b + 6. Let z(k) = 5*k**2 - 5*k + 5. Let f(x) = 5*p(x) - 6*z(x). Factor f(w).
5*w**2*(w - 1)*(w + 2)
Let i(h) be the first derivative of h**3/9 + 29*h**2/6 - 239. Factor i(j).
j*(j + 29)/3
Let c = 21589/10 - 2157. Let w = c + -7/5. Find u, given that 6 - 22*u - w*u**2 + 25/2*u**4 + 40*u**3 = 0.
-3, -1, 2/5
Let j(d) be the third derivative of 0*d + 0*d**3 + 1 - 2*d**2 - 9/28*d**8 + 7/10*d**6 + 2/3*d**4 + 4/3*d**5 - 12/35*d**7. Solve j(o) = 0.
-2/3, -1/3, 0, 1
Let h = -87 - -89. Suppose -v + 0 = -2. Find m, given that -7*m + 6*m**h + 1 + 1 + v*m**3 + 13*m = 0.
-1
Let n(m) be the third derivative of 0*m - 15*m**2 + 0*m**3 + 0 - 1/48*m**5 + 1/48*m**4. Factor n(u).
-u*(5*u - 2)/4
Let f(u) = 1 - 1 - 1. Suppose a = 2*i - 1 - 1, 1 = 3*i - a. Let z(l) = -2*l**3 + 2*l**2 + 2*l - 6. Let n(s) = i*z(s) + 4*f(s). Let n(y) = 0. Calculate y.
-1, 1
Find z such that 64/13 + 2/13*z**2 + 24/13*z = 0.
-8, -4
Factor 30732*b + 15*b**2 + 15*b**4 - 30732*b - 78*b**3.
3*b**2*(b - 5)*(5*b - 1)
Let d(v) be the second derivative of -169*v**6/30 - 663*v**5/10 - 2497*v**4/12 + 68*v**3 - 8*v**2 + 5*v - 4. Solve d(s) = 0 for s.
-4, 1/13
Let c be 10/(-7)*2345/134*(-12)/75. Factor 0 - 1/5*z**3 + 0*z + 1/5*z**5 + 1/5*z**2 - 1/5*z**c.
z**2*(z - 1)**2*(z + 1)/5
Suppose 2*q - 4*q - 324 = 0. Let b be 36/q + (7/(-9) - -1). Factor 2/5*o**4 - 2/5*o**2 + 0 + 0*o + b*o**3.
2*o**2*(o - 1)*(o + 1)/5
Let h(f) be the second derivative of f**6/15 - 3*f**5/5 + 4*f**4/3 + 2*f**3 - 9*f**2 - 2*f - 3. Factor h(x).
2*(x - 3)**2*(x - 1)*(x + 1)
Let k(p) be the second derivative of -p**5/10 - 61*p**4/6 - 899*p**3/3 + 961*p**2 - 318*p. Let k(l) = 0. What is l?
-31, 1
Let b(j) be the first derivative of j**6/7 - 2*j**5/35 - 3*j**4/2 - 22*j**3/21 + 6*j**2/7 - 89. Let b(v) = 0. What is v?
-2, -1, 0, 1/3, 3
Let r(z) be the third derivative of -z**11/1496880 + z**9/272160 + z**5/15 - 9*z**2. Let d(y) be the third derivative of r(y). Let d(s) = 0. What is s?
-1, 0, 1
Suppose -10 = -23*d + 18*d. Let b(y) be the third derivative of -1/30*y**5 + 0*y + 0 - 2*y**d - 1/60*y**6 + 0*y**3 + 1/6*y**4. Suppose b(k) = 0. What is k?
-2, 0, 1
Let m(h) be the second derivative of -1/5*h**5 - 2/45*h**6 + 1/9*h**4 + 0 - 6*h + 0*h**2 + 4/63*h**7 + 2/9*h**3. What is p in m(p) = 0?
-1, -1/2, 0, 1
Let d(o) be the second derivative of o**4/72 - 5*o**3/9 - 7*o**2/4 + 264*o. Factor d(k).
(k - 21)*(k + 1)/6
Let i(c) be the third derivative of -c**5/180 - 49*c**2 - 1. Suppose i(p) = 0. What is p?
0
Let k = -99 + 69. Let j = -21 - k. Factor 8*v**3 + 2*v**2 - 6*v**2 + j*v - 2 - 8*v**2 - 3*v**3.
(v - 1)**2*(5*v - 2)
Determine r so that -283 - 30*r**2 - 45 - 5 - 280*r - 42 + 10*r**2 = 0.
-25/2, -3/2
Let z be 13/7 + -5 + 36/7. Suppose 0 = -5*i + 2*d + 1 + 7, 0 = -2*d + 2. Factor -y**3 + 6 - z - y**2 + 3*y + i*y - y.
-(y - 2)*(y + 1)*(y + 2)
Suppose 0*y + 3*y = 6. Solve 0*u**4 + 5*u**4 + y*u**3 - 4*u**4 - u**2 + u**5 - 3*u**3 = 0.
-1, 0, 1
Let c(b) be the third derivative of 0*b - 1/28*b**4 + 1/42*b**5 - 1/420*b**6 + 0 + 12*b**2 - 3/7*b**3. Factor c(q).
-2*(q - 3)**2*(q + 1)/7
Let y = -33 + 42. Let b be ((-2 - -5) + 0)/(y/6). Factor 0*c + 0 - 9*c**3 - 27/4*c**4 - 3*c**b.
-3*c**2*(3*c + 2)**2/4
Let 0*u**2 + 0*u**4 + 0 + 1/4*u - 1/2*u**3 + 1/4*u**5 = 0. What is u?
-1, 0, 1
Let x = -1025128/15 - -68368. Factor 56/15*i - 2/15*i**2 - x.
-2*(i - 14)**2/15
Let l(p) = -5*p**2 - 16*p + 2. Let s be l(-3). Let w(d) be the first derivative of