c**2 - 2*c + 10. Let x(s) be the second derivative of u(s). Let x(r) = 0. What is r?
-2/11, 1
Let m(k) = 17*k**3 + 24*k**2 - 64*k + 23. Let b(y) = 9*y**3 + 13*y**2 - 33*y + 11. Let c be ((-28)/(-10))/((-44)/110). Let l(v) = c*b(v) + 4*m(v). Factor l(j).
5*(j - 1)**2*(j + 3)
Suppose 0 = -5*x + 15*x + 5760. Let z = x - -578. Find t, given that 1/4 + 49/4*t**z + 7/2*t = 0.
-1/7
Let p be (-2)/24*50*((-24)/5 - -4). Let u(x) be the first derivative of -1/3*x**5 + 7 + 5/3*x**3 - 25/6*x**2 + p*x + 5/12*x**4. Determine f so that u(f) = 0.
-2, 1
Let x(m) = -9*m + 87. Let h be x(7). Let c be (5 - 6)/(3/(-18)). Factor 40*o - c + 14*o**3 - 14 - h*o**3 - 25*o**2 + 15*o**3.
5*(o - 2)**2*(o - 1)
Let o be 1/(-14)*(-94528)/10128. Suppose o*z**4 - 1/2*z**2 - 8/3*z + 10/3*z**3 - 5/6 = 0. What is z?
-5, -1/2, 1
Suppose p - b + 59 = 0, -p - 69 = -4*b + b. Let v = -6 - p. Factor -29*u**2 + v*u - 56*u**2 + 25*u**2 + 24*u**3 - 3*u**4.
-3*u*(u - 4)*(u - 2)**2
Let w = -156/8687 - -2720635/9764188. Let u = w + -3/281. Determine n so that 1/2*n**4 - u*n + 0 + 0*n**3 + 1/4*n**5 - 1/2*n**2 = 0.
-1, 0, 1
Let y be 296/28 - 82/(-861). Solve -8*w - 4/3*w**2 - y = 0.
-4, -2
Let a(b) be the second derivative of b**6/20 - 131*b**5/40 - 781*b**4/24 - 157*b**3/12 + 245*b**2/2 - 2432*b - 2. Let a(r) = 0. What is r?
-5, -1, 2/3, 49
Suppose 3*n - w - 42 = 0, -2*w + 56 = 4*n - 3*w. Let c be (3/n)/((-76)/(-1064)). Factor 5/4*p**4 + 15/4 - 5/2*p + 5/2*p**c - 5*p**2.
5*(p - 1)**2*(p + 1)*(p + 3)/4
Factor -245/4*r**2 - 55 + 261*r + 9/4*r**3.
(r - 22)*(r - 5)*(9*r - 2)/4
Let k(g) be the first derivative of -2/3*g**3 - 44*g**2 + 14 + 90*g. Factor k(z).
-2*(z - 1)*(z + 45)
Suppose -2*g = -p - 8, -3*p - 5*g - 170 = -190. Let c(j) be the second derivative of 8*j - 3/20*j**5 + p - 1/4*j**4 + 0*j**2 + 0*j**3. Factor c(q).
-3*q**2*(q + 1)
Let h(b) be the second derivative of -b**7/6300 - 23*b**6/3600 + b**5/50 - b**4 + 82*b. Let j(g) be the third derivative of h(g). Find f, given that j(f) = 0.
-12, 1/2
Let v be 50/(-9) + 2562/1647 + 18/3. Let g be ((-3)/9)/(2/(-18)). Suppose -6*z + 9/2*z**3 + 3/4*z**4 + 0 - g*z**v - 3/4*z**5 = 0. What is z?
-2, -1, 0, 2
Let p be (6091 - 6091)/(0 - 4). Factor -9/2 + p*f + 1/2*f**2.
(f - 3)*(f + 3)/2
Suppose a = -2*f - 152 - 38, -3*f = -5*a - 924. Let u = 373/2 + a. Factor 1/3*d - u + 1/6*d**2.
(d - 1)*(d + 3)/6
Let k = 139428 + -836555/6. Suppose -k*w - 1/6 - 2*w**2 = 0. Calculate w.
-1, -1/12
Let w(h) be the third derivative of h**8/1344 - h**7/168 - h**6/480 + h**5/48 + 2862*h**2. Factor w(k).
k**2*(k - 5)*(k - 1)*(k + 1)/4
Determine w, given that -5*w**2 - 37*w + 1503 - 123*w - 1163 = 0.
-34, 2
Let i(n) = -n**3 - 21*n**2 - 59*n - 86. Let x be i(-18). Let u(s) be the third derivative of -1/132*s**x - 1/330*s**5 + 0*s**3 + 0*s + 0 + 10*s**2. Factor u(c).
-2*c*(c + 1)/11
Let f be (8/(-6))/(10 + (-392)/42). Let d be (0 - f - -5) + (-178)/26. Let d*n**4 + 0*n - 6/13*n**2 - 4/13*n**3 + 0 = 0. What is n?
-1, 0, 3
Let y = 40 - 29. Suppose -15*n = -47*n + 224. Solve -6*d**5 + y*d**2 + d - d + 16*d**4 - n*d**2 - 14*d**3 = 0.
0, 2/3, 1
Suppose -12*x + 945*x**3 + 156 + 12*x**4 - 192*x**3 - 261*x**4 - 663*x**2 + 15*x**5 = 0. Calculate x.
-2/5, 1, 2, 13
Let d be 24/144 + 2*77/12. Let y be (5/26)/(d/52). Factor 2/13*x**2 + y*x + 12/13.
2*(x + 2)*(x + 3)/13
Let v(t) = -t**4 - 184*t**3 - 188*t**2 + 182*t + 193. Let o(w) = -4*w**4 - 367*w**3 - 374*w**2 + 362*w + 388. Let i(p) = 2*o(p) - 5*v(p). Factor i(l).
-3*(l - 63)*(l - 1)*(l + 1)**2
Let d(k) be the third derivative of 2*k**6/15 + 7*k**5/2 + 109*k**4/12 + 4*k**3 - 290*k**2. Factor d(b).
2*(b + 1)*(b + 12)*(8*b + 1)
Let t(d) = -17*d - 850. Let a be t(-50). Let f(q) be the third derivative of 1/15*q**5 + 0*q + a*q**4 + 1/30*q**6 + 0 - 16*q**2 + 0*q**3. Factor f(x).
4*x**2*(x + 1)
Let l(q) be the second derivative of 2*q**7/21 + 22*q**6/15 + 34*q**5/5 + 46*q**4/3 + 58*q**3/3 + 14*q**2 + 136*q + 4. Determine g, given that l(g) = 0.
-7, -1
Let v(n) = -48*n - 141. Let d be v(-3). Let s(m) be the first derivative of 0*m + 1 - 1/4*m**d + 3/32*m**4 + 0*m**2. Factor s(x).
3*x**2*(x - 2)/8
Let v(h) = h**3 + 81*h**2 + 983*h - 459. Let y be v(-66). Let -2/9*l**4 - 2/3*l**2 - 8/9*l**y + 0*l + 0 = 0. What is l?
-3, -1, 0
Let v = -50 + 31. Let h = 64 + v. Let d(a) = -10*a**2 + 120*a - 45. Let s(g) = -g**2 + 11*g - 4. Let b(f) = h*s(f) - 4*d(f). Factor b(l).
-5*l*(l - 3)
Factor 88 - 24/5*o - 2/5*o**2.
-2*(o - 10)*(o + 22)/5
Let n(s) = -s**2 - s + 74. Let m be n(8). Let 91*w + 1159 - 134 + 4*w**m + 101*w + 1279 = 0. Calculate w.
-24
Let r = 88666 + -354661/4. Solve v**3 - r*v + 11/4*v**2 + 0 = 0 for v.
-3, 0, 1/4
Suppose 2*z - 132 = -0. Suppose -18 + z = 24*r. Factor 7/3*d**r - d + 0 + 1/3*d**4 - 5/3*d**3.
d*(d - 3)*(d - 1)**2/3
Let p(f) be the third derivative of 7*f**6/40 - 17*f**5/2 + 6*f**4 - 702*f**2. Factor p(v).
3*v*(v - 24)*(7*v - 2)
Let f(l) = 80*l**2 - 1670*l + 7415. Let x(p) = 13*p**2 - 275*p + 1236. Let v(d) = 4*f(d) - 25*x(d). Factor v(n).
-5*(n - 31)*(n - 8)
Let l(u) be the first derivative of -u**3/3 - 3*u**2/2 + 42*u - 42. Let s be l(-8). Factor -6*q**s - 4*q**4 + 6*q**2 + 4 + 4*q - 4*q**3 - 3*q**2 + 3*q**4.
-(q - 1)*(q + 1)*(q + 2)**2
Let a(r) be the third derivative of r**6/660 + 8*r**5/55 + 5*r**4 + 176*r**3/3 - 761*r**2. Factor a(b).
2*(b + 4)*(b + 22)**2/11
Suppose 2*x - g + 4 = -5*g, -x = 4*g + 8. Let y = -25992 + 25994. Suppose 3/2*m**3 + 3/4*m**y + 3/4*m**x + 0*m + 0 = 0. What is m?
-1, 0
Let -64*j + 1 + 472*j**2 + 19*j**2 + 533*j**2 = 0. Calculate j.
1/32
Suppose -302*k = -7120 - 1940. Let 150 + k*h + 3/2*h**2 = 0. What is h?
-10
Let j(l) = 3*l**2 - l + 102. Let c(a) = -5*a + 15. Let t be c(3). Let p be j(t). Factor 102*z**3 - 6*z + 2*z + 2*z**4 - p*z**3 - 6*z**2.
2*z*(z - 2)*(z + 1)**2
Let r(m) be the third derivative of m**7/1890 + m**6/54 + m**4/12 - 11*m**3/6 + 5*m**2. Let b(q) be the second derivative of r(q). Factor b(j).
4*j*(j + 10)/3
Let u(j) be the third derivative of j**7/210 - 11*j**6/60 - j**5/80 + 67*j**4/96 - 11*j**3/12 + 3628*j**2. Suppose u(q) = 0. Calculate q.
-1, 1/2, 22
Let k(u) be the second derivative of -u**5/40 + 17*u**4/6 + 139*u**3/12 + 35*u**2/2 - 82*u. Find n, given that k(n) = 0.
-1, 70
Let m(v) be the first derivative of -5*v**4/4 - 205*v**3/3 + 445*v**2/2 + 645*v - 86. Determine p, given that m(p) = 0.
-43, -1, 3
Solve -173/2*m - 20 - 53/2*m**2 - 2*m**3 = 0.
-8, -5, -1/4
Let u(l) = 4*l**5 + 6*l**4 - 2*l**3 - 6*l**2 + l + 6. Let x(z) = -z**5 - z**4 - 1. Let b = -707 + 702. Let t(v) = b*u(v) - 15*x(v). Find m, given that t(m) = 0.
-3, -1, 1
Factor -r**4 + 22*r**3 - 24*r**3 - 6*r**4 - 3*r**5.
-r**3*(r + 2)*(3*r + 1)
Let v(h) be the third derivative of -h**8/2688 - 53*h**7/1680 - 269*h**6/480 - 973*h**5/240 - 2485*h**4/192 - 1025*h**3/48 - 1173*h**2. Let v(p) = 0. What is p?
-41, -5, -1
Let d(i) = 5*i**3 - 2*i**2 + 7*i + 6. Let h(m) = 37*m - 45*m - 6*m**3 + 76 + m**2 - 81. Let l(j) = -5*d(j) - 4*h(j). Factor l(y).
-(y - 5)*(y - 2)*(y + 1)
Let y(d) = -3*d**3 + 246*d**2 - 2*d - 271. Let q(k) = 4*k**3 - 372*k**2 + 3*k + 407. Let f(o) = -5*q(o) - 7*y(o). Suppose f(s) = 0. Calculate s.
-138, -1, 1
Let w(a) be the second derivative of 490*a**2 + 39 + 145/12*a**4 + 560/3*a**3 + 1/4*a**5 + 2*a. Factor w(c).
5*(c + 1)*(c + 14)**2
Suppose -4*a = -20, 7*i - 9*i - 2*a - 50 = 0. Let o = 34 + i. Find c such that -20*c**3 + 45/2 + 55*c**2 - 60*c + 5/2*c**o = 0.
1, 3
Let r(x) be the third derivative of x**6/360 - 17*x**5/180 - 61*x**4/8 - 315*x**3/2 - 1523*x**2. Factor r(k).
(k - 35)*(k + 9)**2/3
Let g(r) = -5*r**2 - 26*r - 33. Let p(t) = 9*t**2 + 54*t + 65. Let y(s) = -5*g(s) - 3*p(s). Let y(b) = 0. What is b?
-15, -1
Let h be (-2)/13 + 264/26. Solve -15*g**3 - 81*g + 90*g**2 - 26 - 14 + 21*g - h*g**3 = 0.
-2/5, 2
Suppose 1/3*n**2 + 161/3*n - 54 = 0. What is n?
-162, 1
What is p in -936 + 88*p + 278*p - 2141*p - 5*p**2 - 834 = 0?
-354, -1
Let p(a) be the first derivative of -a**4/22 - 194*a**3/33 + a**2/11 + 194*a/11 - 2256. Factor p(d).
-2*(d - 1)*(d + 1)*(d + 97)/11
Suppose -203*x + 2440 = 1831. Suppose -12 + 0*a**2 + 6*a - 2/9*a**x = 0. What is a?
-6, 3
Suppose -6*w + 36 = 6*w. Factor 6*p**3 - p - 36 + 0*p**2 + 9*p**2 - 11*p - w*p**3.
3*(p - 2)*(p + 2)*(p + 3)
Let j be ((-14)/36)/(1750/(-1125)). Let