+ 3)
Let u = 195 + -192. Factor -5*t + t**2 + 2*t**2 - 9*t**u - 8 + 14*t + 5.
-3*(t - 1)*(t + 1)*(3*t - 1)
Let f(d) = 13*d - 21. Let m be f(2). Factor m*i**3 - 2*i**4 + 23*i**2 - 35*i**2 + 5*i**3.
-2*i**2*(i - 3)*(i - 2)
Let x be 9/2*(-8)/(-6). Suppose f - 4 = 0, 2*j + f + 4 = x*j. Factor 32*y**j + y**4 - 3*y**3 - 33*y**2 - 2*y + y**5 + 4*y.
y*(y - 1)**2*(y + 1)*(y + 2)
Let x(i) be the second derivative of i**6/660 - i**5/30 + 2*i**4/11 + 12*i**3/11 - 80*i**2 - 6*i + 13. Let h(f) be the first derivative of x(f). Factor h(a).
2*(a - 6)**2*(a + 1)/11
Let -324*n**3 + 70*n**2 + 973*n**3 - 376*n**2 - 324*n**3 - 327*n**3 = 0. What is n?
-153, 0
Solve 2/11*t**3 + 498/11*t - 52 + 72/11*t**2 = 0.
-26, -11, 1
Let x(g) be the second derivative of -g**5/20 - 1181*g**4/4 - 1394761*g**3/2 - 1647212741*g**2/2 + 2*g - 2147. Factor x(t).
-(t + 1181)**3
Let d = -268 + -316. Let c = -8758/15 - d. Suppose 0 - 4/15*g - 2/5*g**2 + 0*g**3 + c*g**4 = 0. What is g?
-1, 0, 2
Let w(m) = m**3 + 16*m**2 + 48*m - 3. Let h be w(-11). Suppose 5*t - 84 = -h. Factor -1/2*f**2 - 2 + t*f.
-(f - 2)**2/2
Suppose -4*t = t - 25. Let g = 123476/226171 + -10/20561. Determine d so that 24/11*d - 34/11*d**3 - 2/11*d**2 + 8/11 + 10/11*d**t - g*d**4 = 0.
-1, -2/5, 1, 2
Let a(o) be the third derivative of -1/3*o**4 - 4 + 1/15*o**5 + 13*o**2 - 2*o**3 + 0*o. Factor a(c).
4*(c - 3)*(c + 1)
Let l(i) = 4*i**2 - 238*i - 1983. Let s(g) = -15*g**2 + 715*g + 5950. Let d(t) = 10*l(t) + 3*s(t). Factor d(f).
-5*(f + 11)*(f + 36)
Let d(n) be the third derivative of n**10/6048 - n**9/3024 - n**8/672 - 31*n**4/24 - 45*n**2. Let h(g) be the second derivative of d(g). Solve h(y) = 0 for y.
-1, 0, 2
Determine r so that 1016 + 3*r**2 - 32*r + 53*r - 2072 + 87*r = 0.
-44, 8
Let s(q) be the third derivative of -q**5/45 - 35*q**4/6 + 1568*q**3/9 - 2*q**2 + 9*q + 4. Find o, given that s(o) = 0.
-112, 7
Solve -1/2*u**3 - 171 - 22*u**2 - 237/2*u = 0.
-38, -3
Let c(w) be the first derivative of w**9/7056 + 13*w**8/3920 + 6*w**7/245 + 3*w**6/70 - 21*w**3 + 101. Let a(q) be the third derivative of c(q). Factor a(f).
3*f**2*(f + 1)*(f + 6)**2/7
Let r(s) = -294*s + 3237. Let j be r(11). Let q = 21/4 - 5. Factor 1/4*u**5 + q*u**4 + 0 - 5/4*u**2 - 1/2*u - 3/4*u**j.
u*(u - 2)*(u + 1)**3/4
Let q = 929105/202 + 3128/101. Let y(k) be the third derivative of -140*k**4 + q*k**7 - 3087*k**6 - 19*k**2 + 0*k + 40/3*k**3 + 882*k**5 + 0. Factor y(j).
5*(21*j - 2)**4
Factor -112 - 75 - 89*w - w**2 - 125 - 27*w - 27.
-(w + 3)*(w + 113)
Let i be (((-30)/8)/(-3))/(24/288). Let d be 62/i + 6*12/(-18). Factor 8/5*j - 16/15 - 4/5*j**2 + d*j**3.
2*(j - 2)**3/15
Suppose 74*h = 226*h - 3496. Let o(n) be the first derivative of -h - 128/9*n - 2/27*n**3 - 16/9*n**2. Factor o(g).
-2*(g + 8)**2/9
Let a(w) be the second derivative of w**4/18 - 13*w**3 - 238*w**2/3 + 4377*w. Determine s so that a(s) = 0.
-2, 119
Let w(c) be the first derivative of -135*c**8/224 - 15*c**7/28 + 2*c**6/3 - c**5/6 - 283*c**2/2 + 326. Let p(h) be the second derivative of w(h). Factor p(d).
-5*d**2*(d + 1)*(9*d - 2)**2/2
Let h(c) be the second derivative of 5*c**4/72 - 580*c**3/9 + 6164*c. Let h(g) = 0. Calculate g.
0, 464
Let k(c) be the first derivative of -1/4*c**5 + 5/12*c**4 + 5/6*c**3 - 5/2*c**2 + 23 + 23*c. Let j(r) be the first derivative of k(r). Factor j(q).
-5*(q - 1)**2*(q + 1)
Let o(t) be the first derivative of -4*t**5/35 + 55*t**4/7 - 832*t**3/21 + 408*t**2/7 + 7294. Let o(d) = 0. Calculate d.
0, 2, 51
Let c(o) = 169*o**2 + 6566*o - 945. Let n(t) = -56*t**2 - 2189*t + 310. Let p(g) = -6*c(g) - 19*n(g). Factor p(y).
5*(y + 44)*(10*y - 1)
Let i(d) be the first derivative of -1/6*d**3 - 31 + 7/144*d**4 - 19*d**2 - 1/360*d**5 + 0*d. Let w(x) be the second derivative of i(x). Factor w(u).
-(u - 6)*(u - 1)/6
Let l = 5052/487 - 19111/2922. Find m, given that l - 31/2*m + 2/3*m**2 = 0.
1/4, 23
Suppose -38 = -j + 5*l, -2*j + 0*j - 3*l = -102. Suppose -13 = 3*r - 5*d, d + 3 = -3*r + 5*r. Factor -j*g - 67*g**r + 0*g + 54*g**2 + 15 + 70*g**4 - 24*g**3.
3*(g - 5)*(g - 1)**3
Determine c so that 0 - 75/7*c + 3/7*c**2 = 0.
0, 25
Let f(w) be the third derivative of -w**5/570 - 22*w**4/57 + 89*w**3/57 - 448*w**2. Find k such that f(k) = 0.
-89, 1
Suppose 66*s = 120 - 206 + 350. Factor -24/7*u**3 - 48/7*u + 52/7*u**2 + 16/7 + 4/7*u**s.
4*(u - 2)**2*(u - 1)**2/7
Let i(x) = 24*x + 242. Let v be i(-10). Factor 42 + 7 - 4*l**2 - 12*l - l**3 - 6*l**v + 23.
-(l - 2)*(l + 6)**2
Let b(c) be the second derivative of c**7/42 + 14*c**6/15 + 33*c**5/5 - 224*c**4/3 + 512*c**3/3 - 1671*c - 3. Factor b(g).
g*(g - 2)**2*(g + 16)**2
Factor 5*m + 1/4*m**2 - 21/4.
(m - 1)*(m + 21)/4
Suppose -131 = -3*g + 5*k, -3*g - 5*k + 14 = -107. Determine q so that -44*q**2 + g*q**2 + 3*q - 3*q - q - q**3 = 0.
-1, 0
Let s(y) be the third derivative of 1/45*y**5 - 46*y**2 + 0*y**3 + 1/180*y**6 + 1/36*y**4 + 0 + 0*y. Factor s(q).
2*q*(q + 1)**2/3
Let s(i) be the first derivative of -3*i**5/40 + 3*i**4/16 + 29*i**3/8 - 45*i**2/8 - 2791. Suppose s(c) = 0. Calculate c.
-5, 0, 1, 6
Suppose a + 32 = 3*a + 4*s, a = 3*s + 16. Suppose 7*r = -2 + a. Determine b, given that -82*b**3 + 1101*b**r + 48 - 18*b**3 - 721*b**2 - 256*b = 0.
2/5, 3
Let u(j) = 7*j**2 - 1858*j + 868612. Let z(d) = 2*d**2 + 2*d - 4. Let x(i) = -5*u(i) + 15*z(i). What is l in x(l) = 0?
932
Suppose 88 - 45*g - 87/2*g**2 + 1/2*g**3 = 0. Calculate g.
-2, 1, 88
Factor 0 - a**2 + 1/5*a**4 + 6/5*a - 2/5*a**3.
a*(a - 3)*(a - 1)*(a + 2)/5
Let v = 18113 + -36225/2. Let s(u) be the first derivative of 1/2*u**2 - 11 - 9/40*u**5 - 9/16*u**4 + v*u - 5/24*u**3. What is d in s(d) = 0?
-1, -2/3, 2/3
Suppose -4*d = c - 25 - 41, 0 = 4*d - 16. Let m = c - 47. Find r such that -14*r**3 - m*r**2 - 6*r**2 + 4*r - r**2 = 0.
-1, 0, 2/7
Let d(c) be the first derivative of -10*c + 4*c**4 - 12*c**3 + 23 + 16*c**2 - 2/5*c**5. Factor d(r).
-2*(r - 5)*(r - 1)**3
Let v = 9933 - 39731/4. Let u(h) be the second derivative of h**2 + v*h**3 - 5/12*h**4 + 0 + 5*h. Factor u(q).
-(2*q + 1)*(5*q - 4)/2
Let f(u) be the third derivative of -6*u + 8*u**2 - 1/270*u**5 + 28/27*u**3 + 0 + 1/36*u**4. Find z such that f(z) = 0.
-4, 7
Let p(a) be the third derivative of -9/4*a**4 + 1/40*a**5 - 40*a**2 + 81*a**3 + 0*a + 0. Factor p(v).
3*(v - 18)**2/2
Let z = 276 - 258. Let a be (((-3)/z)/1)/((-3)/2). Solve -2/9*x**2 - 1/9*x**5 - 2/9*x**3 + 1/3*x + 1/3*x**4 - a = 0 for x.
-1, 1
Let w(d) be the second derivative of -d**5/45 + 314*d**4/3 - 147894*d**3 - 8494*d. Let w(s) = 0. What is s?
0, 1413
Solve 519/4*o**2 + 1047/4*o - 3/4*o**3 + 525/4 = 0.
-1, 175
Suppose -917 + 4566 = 289*c - 975. Let q(l) be the third derivative of 2/105*l**7 + l**4 + 0 + 0*l + 0*l**6 + 0*l**3 - c*l**2 - 7/15*l**5. Factor q(b).
4*b*(b - 2)*(b - 1)*(b + 3)
Let d = 68488/3 - 22828. Let -20/3*o**2 - 16/3 - 32/3*o - d*o**3 = 0. What is o?
-2, -1
Let b(v) = -v + 27. Let g be b(-13). Factor 16*d + d**3 + 5*d - 5*d**5 - 6*d + 29*d**3 - g*d**2.
-5*d*(d - 1)**3*(d + 3)
Let q(y) be the second derivative of -3*y**5/20 + 35*y**4/2 + 223*y**3/2 - 438*y**2 - 284*y - 1. Factor q(j).
-3*(j - 73)*(j - 1)*(j + 4)
Let p(o) be the second derivative of 11*o**5/90 - 35*o**4/27 - 11*o**3/27 + 70*o**2/9 + 96*o - 9. What is b in p(b) = 0?
-1, 1, 70/11
Let a(z) be the second derivative of -z**6/270 + 2*z**5/45 + 5*z**4/18 + z**3/3 + 3*z**2/2 - 131*z. Let r(s) be the second derivative of a(s). Factor r(i).
-4*(i - 5)*(i + 1)/3
Let -f - 39*f**2 + 9*f**3 + 84 + 110 - 8*f**3 - 155 = 0. What is f?
-1, 1, 39
Suppose -5*t + 15 = 0, 633*t + 5 = -2*h + 636*t. Let 432/5 + 2/5*a**3 + 36/5*a**h + 216/5*a = 0. What is a?
-6
Let t(r) = r**4 + r**3 + r**2 - r - 2. Let x(m) = 13*m**4 - 110*m**3 - 236*m**2 - 82*m + 31. Let v(s) = -2*t(s) - x(s). Let v(u) = 0. Calculate u.
-1, 1/5, 9
Let c be 17 + 4 + (-4830)/231. Let b(x) be the second derivative of 1/66*x**4 - 32*x - c*x**3 + 2/11*x**2 + 0. Determine f so that b(f) = 0.
1, 2
Let l(o) = o**2 - 1. Let h(z) = -3*z**2 + 3. Let c be ((-3)/(-2))/((-9)/12). Let j = -944 + 943. Let x(w) = c*l(w) + j*h(w). Determine d so that x(d) = 0.
-1, 1
Let m(n) = 2*n**2 - 2*n. Let f be m(1). Suppose f = -w - 3*d + 26 - 8, -4*w - 13 = -5*d. Determine t, given that 0 + 2/7*t**4 + 4/7*t**2 + 6/7*t**w + 0*t = 0.
-2, -1, 0
Let o(s) b