s - 1)*(155*s - 2)/4
Let s(p) = p**3 - p**2 - p. Let b(o) = 6*o**3 - 6*o**2 - 4*o. Let w(z) = -10*z + 5. Let g be w(-1). Let f = 16 - g. Let r(k) = f*b(k) - 4*s(k). Factor r(q).
2*q**2*(q - 1)
Let a(b) be the third derivative of b**6/200 - 2017*b**5/100 + 25452*b**4 - 508032*b**3/5 + 49*b**2 + b + 5. Factor a(m).
3*(m - 1008)**2*(m - 1)/5
Suppose -1795*f = -1752*f. Let z(r) be the third derivative of 0 + f*r - 1/9*r**4 - 1/90*r**6 - 30*r**2 - 1/15*r**5 + 0*r**3. Factor z(t).
-4*t*(t + 1)*(t + 2)/3
Factor -312*c**3 - 848 - 9*c**5 + 70*c**4 + 15*c**5 + 9*c**5 - 168*c**3 + 1028 - 655*c + 870*c**2.
5*(c - 1)**3*(c + 9)*(3*c - 4)
Let w(u) be the first derivative of -u**3/12 + 5*u**2/4 + 11*u/4 + 150. Suppose w(i) = 0. What is i?
-1, 11
Let l(z) be the second derivative of z**5/20 + z**4/6 - 123*z. Let x(j) = -2*j**4 + 5*j**3 + 7*j**2 - 2*j. Let c(i) = 2*l(i) - x(i). Find n such that c(n) = 0.
-1, 0, 1/2, 2
Let l(b) = 17*b**3 + 1211*b**2 - 816*b + 148. Let h(n) = n**3 + n**2 + 2*n - 12. Let q(c) = h(c) + l(c). Find d such that q(d) = 0.
-68, 1/3
Let f(x) be the first derivative of -x**4 - 76*x**3 + 2880*x**2 - 30800*x + 1034. Determine z so that f(z) = 0.
-77, 10
Solve 3778/13*d**3 - 8/13*d + 10/13*d**5 + 64 - 272*d**2 - 1076/13*d**4 = 0 for d.
-2/5, 1, 2, 104
Let z be (-611)/188*(-12)/(-10) - -4. Let h(a) be the second derivative of 0*a**3 + 1/2*a**4 + 20*a + 0 + z*a**5 - 4*a**2. Factor h(k).
2*(k - 1)*(k + 2)**2
Find t such that 31*t**2 - 448*t + 1728 - 1/4*t**3 = 0.
8, 108
Solve 1 - 11/6*r + 1/2*r**2 + 1/2*r**3 - 1/6*r**4 = 0.
-2, 1, 3
Suppose 572*b**4 + 89*b - 10238 + b**5 - 20249*b - 21308*b**2 + 30974 + 17589*b**3 + 3*b**5 + 2567*b**3 = 0. What is b?
-72, -1, 1
Let u(c) be the first derivative of 16 + 1/2*c**3 + 6534*c + 99*c**2. Let u(o) = 0. What is o?
-66
Let z be (-117)/(-351)*(-27)/(-1). Let d be (102/27)/17 - (-25)/z. Let -2/5*n**4 + 0 - 8/5*n + 8/5*n**2 + 2/5*n**d = 0. What is n?
-2, 0, 1, 2
Let b = 1060 + -1057. Let g(i) be the first derivative of 0*i + 2/11*i**2 + 2/33*i**b - 11 - 1/22*i**4. Find a such that g(a) = 0.
-1, 0, 2
Let h be 490/49 - 156/15 - (693/(-45) + 12). Determine b so that 0*b**3 + h*b**4 + 0*b + 0 + 1/2*b**5 - 16*b**2 = 0.
-4, 0, 2
Let m(z) = -z**3 - 10*z**2 - 20*z + 6. Let j be m(-9). Let a = j + -521/5. Factor -2/5*r**5 + 0*r**3 - 4/5*r**4 + a*r**2 + 0 + 2/5*r.
-2*r*(r - 1)*(r + 1)**3/5
Let v be -8 + 364/42 + 0/(-2 - 3). Factor 2/9*u**3 - 8/9*u - 8/3 + v*u**2.
2*(u - 2)*(u + 2)*(u + 3)/9
Let 18/5*s**3 + 0 - 4/5*s**4 - 12/5*s - 14/5*s**2 = 0. Calculate s.
-1/2, 0, 2, 3
Let k be ((-32)/(-48))/((-520)/(-156)). Find c, given that k*c**2 + 8/5*c**3 + 0 + 0*c = 0.
-1/8, 0
Let -68/7 - 12/7*w**2 - 1/7*w**3 + 81/7*w = 0. What is w?
-17, 1, 4
Determine d so that -104/11*d + 174/11*d**2 - 2/11*d**5 - 30/11*d**4 - 38/11*d**3 + 0 = 0.
-13, -4, 0, 1
Let z(x) = 7*x**2 - 217*x + 1958. Let u(y) = -29*y**2 + 874*y - 7836. Let l(w) = -2*u(w) - 9*z(w). Factor l(p).
-5*(p - 26)*(p - 15)
Let x(p) be the second derivative of 0 + 4*p**5 + 0*p**3 + 91/15*p**6 + 0*p**2 + 2/3*p**4 - 32*p. Let x(z) = 0. What is z?
-2/7, -2/13, 0
Let d(y) be the third derivative of -y**7/70 + 353*y**6/20 - 123189*y**5/20 - 125315*y**4/2 - 252050*y**3 + 213*y**2 + 2. Factor d(g).
-3*(g - 355)**2*(g + 2)**2
Let f(p) be the third derivative of -11/135*p**5 + 2/9*p**4 + 0*p - 7 - 2/27*p**3 + 6*p**2. Suppose f(o) = 0. Calculate o.
1/11, 1
Let z(h) be the second derivative of -250*h**7/21 - 70*h**6/3 + 627*h**5 - 1829*h**4/3 + 724*h**3/3 - 48*h**2 + 216*h + 1. Solve z(s) = 0.
-6, 1/5, 4
Factor 606/13*f**2 + 604/13*f + 2/13*f**3 + 0.
2*f*(f + 1)*(f + 302)/13
Let k(y) be the third derivative of 0*y - 25/24*y**4 + 1/3*y**5 + 1/24*y**6 + 0*y**3 - 114*y**2 + 0. Let k(x) = 0. What is x?
-5, 0, 1
Let p(m) be the second derivative of -11*m**4/6 - 85*m**3/24 + 3*m**2/8 + m + 109. Factor p(o).
-(o + 1)*(88*o - 3)/4
Let g(a) be the third derivative of a**6/960 + 41*a**5/480 + 37*a**4/48 + 7*a**2 - 8*a. Solve g(v) = 0 for v.
-37, -4, 0
Let b(f) = 2*f**2 - 2*f. Let w(x) = 11*x**2 - 15*x - 2. Let c(k) = -3*b(k) + w(k). Factor c(i).
(i - 2)*(5*i + 1)
Let o be (-2 - 276/23)*(-2)/49. Suppose 5/7*m**3 + 0*m**2 - 1/7*m**5 - o*m + 0*m**4 + 0 = 0. What is m?
-2, -1, 0, 1, 2
Let z(a) be the third derivative of -1/60*a**6 + 1/10*a**5 - 77*a**2 - 4/3*a**3 + 0*a + 0*a**4 + 0. Determine l so that z(l) = 0.
-1, 2
Let u(g) be the third derivative of 10 + 1/24*g**4 + 0*g + 7/480*g**5 + 1/48*g**3 - 3*g**2. Factor u(h).
(h + 1)*(7*h + 1)/8
Suppose -15 = -17*t + 31 + 5. Find s, given that 107/2*s**t + 9 + 33/2*s - 35/2*s**4 + 2*s**5 - 127/2*s**2 = 0.
-1/4, 1, 2, 3
Determine j so that 1660*j**3 - 88*j**4 + 1844*j - 1379*j + 9*j**3 - 167*j**4 + 2626*j**3 + 5285*j**2 - 270 = 0.
-1, -1/3, 3/17, 18
Suppose -21*f + 428*f - 194 = 1027. Let w(p) be the first derivative of 0*p + 3 - 5/3*p**f + 5*p**2. Factor w(z).
-5*z*(z - 2)
Suppose -3*c - 2*f = -f + 360, -2*c + 3*f - 240 = 0. Let o be ((-40)/c)/(2/18). What is y in -6/5*y**2 - 2/5*y**4 + 0 + 6/5*y**o + 2/5*y = 0?
0, 1
Let g(r) = 7*r - 25. Let t be g(7). Find l, given that -t - l**2 + 4*l**2 + 24 + 63*l**4 + 8*l**5 - 38*l**5 - 36*l**3 = 0.
0, 1/10, 1
Suppose 3*s - 4*d + 40 = 0, 0 = 5*s - d - 0 + 61. Let a be (-6)/(-2) - (s/4)/(-9). Find o, given that -2/3*o**2 + 2*o + a = 0.
-1, 4
Let x be 54/162 - 133/(-3). Let d = 742/15 - x. Suppose -d*m - 16/5 - 1/5*m**3 - 9/5*m**2 = 0. What is m?
-4, -1
Let c = 480 - 457. Suppose -2*s**4 + 21*s - 200*s**2 - 3*s**4 + 15*s + 55*s**3 + c*s + 181*s = 0. What is s?
0, 3, 4
Determine l, given that -29/4*l**2 + 32*l - 32*l**3 + 9 - 7/4*l**4 = 0.
-18, -1, -2/7, 1
Let x(l) be the first derivative of -3/16*l**4 + 3/2*l + 9/8*l**2 + 0*l**3 - 6. Solve x(p) = 0.
-1, 2
Let w(r) be the second derivative of -2/9*r**3 + 1/3*r**2 + 19 - 4*r + 1/18*r**4. Factor w(n).
2*(n - 1)**2/3
Let g = 6588 - 26351/4. Let c(i) be the first derivative of -1/2*i - g*i**2 - 1/24*i**3 - 7. Solve c(p) = 0 for p.
-2
Let c(t) be the second derivative of t**4/3 + 868*t**3/3 + 94178*t**2 - 1448*t. Suppose c(n) = 0. Calculate n.
-217
Suppose 49*m = -1253 + 19040. Let b = -360 + m. Find o such that 0 + 6/5*o**4 + 2/5*o**5 - 4/5*o + 2/5*o**b - 6/5*o**2 = 0.
-2, -1, 0, 1
Let j(d) be the first derivative of 37*d**6/48 + 79*d**5/60 - 29*d**4/48 - d**3/6 - 245*d**2/2 + 81. Let r(t) be the second derivative of j(t). Factor r(m).
(m + 1)*(5*m - 1)*(37*m + 2)/2
Let g(w) be the first derivative of -w**3/12 + 19*w**2/4 - 18*w + 1401. Factor g(s).
-(s - 36)*(s - 2)/4
Let a(l) be the first derivative of -2*l**3 - 3/20*l**5 + 135 + 0*l**2 + 0*l - 9/8*l**4. Suppose a(d) = 0. What is d?
-4, -2, 0
Let r(d) be the third derivative of d**5/330 - 25*d**4/132 + 1430*d**2. Suppose r(i) = 0. What is i?
0, 25
Let s = 335 + -97. Factor 107 - 60*a - s - 169 - 3*a**2.
-3*(a + 10)**2
Factor 78 - o**3 + 249 + 87*o**2 - 2*o**3 - 657*o + 246*o**2 + 0*o**3.
-3*(o - 109)*(o - 1)**2
Suppose 468403*k + 50 - 468322*k + 12*k**2 + 4 = 0. What is k?
-6, -3/4
Let n = 398 + -404. Let x(u) = -4*u**2 + 19*u + 33. Let q(w) = -2*w**2 + w + 1. Let i(v) = n*q(v) + 2*x(v). Factor i(o).
4*(o + 3)*(o + 5)
Let g(n) = 23*n**2 + 147*n - 154. Let t(s) = 33*s**2 + 147*s - 156. Let l(i) = 3*g(i) - 2*t(i). Factor l(x).
3*(x - 1)*(x + 50)
Let c be 161/161*((-18)/30 + 36/10). Factor 8/15*s**2 + 2/15*s**c + 2/5*s + 0.
2*s*(s + 1)*(s + 3)/15
Let n(d) be the first derivative of d**6/120 + d**5/15 - 7*d**4/24 - 5*d**3/3 + 65*d**2/2 - 21. Let j(p) be the second derivative of n(p). Factor j(w).
(w - 2)*(w + 1)*(w + 5)
Let a(f) be the second derivative of -f**7/70 + 11*f**6/150 + 33*f**5/100 - 107*f**4/60 - 9*f**3/5 + 36*f**2/5 + 87*f - 74. Determine n so that a(n) = 0.
-3, -1, 2/3, 3, 4
Let d(o) = -7*o**2 - 10*o + 22. Let g(v) = -3*v - 17 - 15 + v + 10*v**2 + 14*v + 3*v. Let n(m) = -7*d(m) - 5*g(m). Find p such that n(p) = 0.
-6, 1
Let o(w) = 3*w**4 + 3*w**3 + 12*w**2 - 4*w + 8. Let x(f) = -16*f**4 - 15*f**3 - 62*f**2 + 21*f - 42. Let n(s) = 42*o(s) + 8*x(s). Solve n(m) = 0 for m.
-1, 0, 4
Let u(a) be the second derivative of -a**6/6 - 11*a**5 + 5*a**4/12 + 110*a**3/3 - a + 296. Factor u(l).
-5*l*(l - 1)*(l + 1)*(l + 44)
Let q(b) be the second derivative of -3*b**5/20 - 3*b**4/2 - 11*b**3/2 - 9*b**2 + 1537*b. Deter