 Let i(u) = 0. Calculate u.
-2, 3
Let p = 1065029/4 + -266257. Suppose 1/2 - 1/2*f**2 + p*f - 1/4*f**3 = 0. What is f?
-2, -1, 1
Let f(w) be the second derivative of w**5/30 - 589*w**4/18 + 1760*w**3/9 - 1172*w**2/3 - 138*w + 5. Factor f(u).
2*(u - 586)*(u - 2)*(u - 1)/3
Let z(t) = -t**2 + 11*t - 19. Let o be z(2). Let f be (o - 5)*1 - (-25 + 15). What is n in 3*n**2 + 0 + 2*n + 5/4*n**f - 9/2*n**3 = 0?
-2/5, 0, 2
Solve 645*l**3 + 744 - 323*l**3 + 174*l**2 + 732*l - 325*l**3 = 0 for l.
-2, 62
Factor -9/2 + 3/2*y**2 + 15/4*y - 3/4*y**3.
-3*(y - 3)*(y - 1)*(y + 2)/4
Factor -1/4*g**3 + 0 - 121/2*g**2 + 0*g.
-g**2*(g + 242)/4
Suppose 5*q + h = 25916, 8*q + 3*h - 5172 = 7*q. What is o in -292*o**2 + 60*o**3 - 23*o**3 - q + 7180*o - 33*o**3 - 1708*o = 0?
1, 36
Let b(s) be the second derivative of s**5/32 - s**4/48 - 51*s**3/16 - 45*s**2/8 - 714*s. Factor b(l).
(l - 6)*(l + 5)*(5*l + 3)/8
Factor -728/3 + 1/3*l**2 + 727/3*l.
(l - 1)*(l + 728)/3
Suppose 0 = -4*a + 2*a + 8*a. Suppose 4*j - k - k - 16 = a, k - 10 = -j. Determine b so that j*b - 9*b**4 + 3/2*b**5 + 0 + 39/2*b**3 - 18*b**2 = 0.
0, 1, 2
Suppose -2*o + 332 = -2*v, 2*v - 866 = -5*o - 2*v. Let b be ((-2)/75)/((-17)/o). Factor 2/15*h**2 - 2/5 + b*h.
2*(h - 1)*(h + 3)/15
Let a be (-12)/(-20) + 234/10. Let t be (13 - 15)/((-1)/5). Factor -24*n + 230*n + 416*n**2 - t*n + a + 64*n**3.
4*(n + 6)*(4*n + 1)**2
Let g(j) = -j**3 + 11*j**2 + 4*j - 1. Let d(u) = u**3 - 9*u**2 - 3*u + 1. Suppose 0 = 27*w - 74 - 115. Let l(a) = w*d(a) + 6*g(a). Factor l(h).
(h + 1)**3
Let d(v) = 2500*v**3 - 217485*v**2 - 55. Let x(z) = -91*z**3 + 8055*z**2 + 2. Let c(a) = 2*d(a) + 55*x(a). Determine i so that c(i) = 0.
0, 1611
Let w(j) be the second derivative of -j**8/2800 + j**7/175 + j**6/150 - 4*j**5/25 - 33*j**3 + j + 18. Let b(c) be the second derivative of w(c). Solve b(o) = 0.
-2, 0, 2, 8
Suppose 80 = 16*o - 0*o. Factor 5*x + 2*x**2 - 5*x**4 + 19*x**2 + x + 20*x**4 + 3*x**o + 27*x**3.
3*x*(x + 1)**3*(x + 2)
Suppose -2*j = -4*v, -6*j + 14 = -3*v - j. Let g be v/7*28/2. Factor g*s**3 + 4*s**2 - 333*s**4 + 337*s**4 - 12*s**2.
4*s**2*(s - 1)*(s + 2)
Let f(p) be the third derivative of -p**7/357 - 23*p**6/510 + 86*p**5/255 + 2*p**4/17 - 96*p**3/17 + 2*p**2 - p + 41. Solve f(l) = 0 for l.
-12, -6/5, 2
Let y be (-24 + 42)/((36/(-144))/(1/(-28))). Factor -3/7*a**2 - 27/7 + y*a.
-3*(a - 3)**2/7
Let o(x) be the second derivative of -2*x**5/5 + 11*x**4/6 - 10*x**3/3 + 27*x**2/2 + x + 36. Let c(w) be the first derivative of o(w). Solve c(l) = 0 for l.
5/6, 1
Let c(h) be the third derivative of -h**6/120 + 17*h**5/60 + 5*h**4/2 + 13033*h**2. Let c(b) = 0. What is b?
-3, 0, 20
Factor -702*f + 28*f**2 + 2*f**2 - 43*f**2 + 2*f**2 + 8*f**2.
-3*f*(f + 234)
Let o be 72 - ((-84504)/(-924) + -20). Factor -36/11 + o*p**2 + 30/11*p.
6*(p - 1)*(p + 6)/11
Let q(g) be the second derivative of g**4 + 0 - 9/20*g**5 + 68*g + 1/14*g**7 - 1/5*g**6 + 2*g**3 + 0*g**2. Find b, given that q(b) = 0.
-1, 0, 2
Factor 8598747/5 - 10158/5*a + 3/5*a**2.
3*(a - 1693)**2/5
Let m(a) be the first derivative of 0*a**4 + 13 + 1/60*a**5 + 3*a**3 + 0*a + 0*a**2 + 1/540*a**6. Let q(c) be the third derivative of m(c). Factor q(g).
2*g*(g + 3)/3
Let r(c) be the third derivative of c**5/15 + 227*c**4/6 + 3080*c**3/3 + 11*c**2 + 388*c. Factor r(g).
4*(g + 7)*(g + 220)
Let z(o) = 22*o + 243. Let u be z(-7). Suppose -83*r + u*r - 12 = 0. Factor 1/6*m**r - 1/3 + 1/6*m.
(m - 1)*(m + 2)/6
Let m(a) be the second derivative of -a**4/72 - 7*a**3/18 - 2*a**2 - 154*a - 2. Factor m(z).
-(z + 2)*(z + 12)/6
Let c be -2 + -2*78/(-104)*20/6. Let m be (26/10 + -3)/((-12)/15). What is g in 0 - 6*g**c + 4*g**2 - m*g = 0?
0, 1/6, 1/2
Let a(v) be the first derivative of 2*v**3/33 - 38*v**2 - 838*v/11 + 1383. Factor a(q).
2*(q - 419)*(q + 1)/11
Determine f so that -3518*f + 0*f**2 - 4*f**2 - 1191 + f**2 + 2324*f = 0.
-397, -1
Let m(c) = -7*c**2 - 22*c - 29. Let p(w) = 3*w**2 + 11*w + 14. Let r(u) = -2*m(u) - 5*p(u). Let h be r(-8). Factor 3 + h*y**3 - 16*y**3 - 3*y**2 + 3*y**3 + y.
-(y - 1)*(y + 1)*(y + 3)
Let o(r) be the second derivative of 153*r + 0 + 1/2*r**5 - 2/15*r**6 + r**4 + 0*r**3 + 0*r**2 - 1/21*r**7. What is v in o(v) = 0?
-3, -1, 0, 2
Let l(m) be the first derivative of 2*m**3/51 + 2484*m**2/17 + 3085128*m/17 + 2944. Let l(g) = 0. What is g?
-1242
Let n(b) be the second derivative of -3*b**5/20 - 5*b**4/12 + b**3/3 + 10319*b. Suppose n(i) = 0. Calculate i.
-2, 0, 1/3
Suppose 14*y - 30*y = 176. Let q be 2*1*((-121)/y)/11. Factor -3/4*w - 1/4*w**4 + 5/4*w**q + 0 - 1/4*w**3.
-w*(w - 1)**2*(w + 3)/4
Let j(x) be the second derivative of -x**4/4 - 1413*x**3 - 5989707*x**2/2 - 3091*x. Let j(g) = 0. Calculate g.
-1413
Let c(i) = 4 + 5*i - 4 + i**3 - 6*i**3. Let g(v) = 10*v**3 - 10*v. Let k(u) = 5*c(u) + 2*g(u). Factor k(z).
-5*z*(z - 1)*(z + 1)
Let d = 53632 + -53629. Suppose -63/2*w**4 - 2/3 + 121/6*w**2 - 16*w**d + 4*w = 0. Calculate w.
-1, -2/7, 1/9, 2/3
Let x(i) = 2*i**2 - 10*i + 2. Let d be x(5). Factor -112*l + l**2 + 3*l**d - 1568 - 6*l**2.
-2*(l + 28)**2
Let v(c) = 2*c**2 + 28*c + 16. Let d be v(-15). Solve 32*q**4 - d*q**4 - 3*q**2 + 17*q**4 = 0.
-1, 0, 1
Let w(h) be the first derivative of 2*h**3/39 + 5*h**2/13 - 532*h/13 - 2740. Factor w(l).
2*(l - 14)*(l + 19)/13
Let w(d) = -d**3 + d**2 + d - 7. Let g(o) = -o**3 - 21*o**2 + 7*o + 87. Let v(n) = g(n) + w(n). Factor v(r).
-2*(r - 2)*(r + 2)*(r + 10)
Factor -33/2*p - 1/2*p**2 - 81.
-(p + 6)*(p + 27)/2
Let b(v) be the first derivative of -v**6/6 - 9*v**5/5 - 1340. Factor b(z).
-z**4*(z + 9)
Let a(s) = -s**4 + 26*s**3 - 4*s**2 - 164*s + 4. Let r = -86 + 90. Let k(n) = 3*n**4 - 53*n**3 + 7*n**2 + 327*n - 7. Let l(p) = r*k(p) + 7*a(p). Factor l(o).
5*o*(o - 4)**2*(o + 2)
Let d = 1191 - 1189. Let r(i) be the first derivative of 1/8*i**d + 0*i + 1/12*i**3 - 6. What is n in r(n) = 0?
-1, 0
Let o(g) be the second derivative of -2/3*g**4 - 1/6*g**3 + 0 + 184*g + 15/4*g**2 + 1/20*g**5 + 1/60*g**6. Solve o(r) = 0.
-5, -1, 1, 3
Determine j so that -9/5*j**2 + 681*j - 1134/5 = 0.
1/3, 378
Let s(o) be the first derivative of 1/27*o**3 + 8/9*o + 1/2*o**2 + 88. Determine j, given that s(j) = 0.
-8, -1
Let l = 138 + 239. Let v = l - 377. Determine x so that 8/7*x**2 + v + 24*x**4 + 68/7*x**3 + 108/7*x**5 + 0*x = 0.
-1, -1/3, -2/9, 0
Let y(z) be the third derivative of -z**8/84 + 4*z**7/21 + 5*z**6 + 76*z**5/3 + 355*z**4/6 + 76*z**3 + 2126*z**2. Find s, given that y(s) = 0.
-6, -1, 19
What is m in 14*m**3 - 32*m**3 + 19 + 224*m + 14*m**3 - 40*m**2 - 19 = 0?
-14, 0, 4
Let o(l) be the first derivative of 3*l**5/40 - 5*l**4/8 + l**3 - l + 70. Let c(a) be the first derivative of o(a). Suppose c(b) = 0. What is b?
0, 1, 4
Suppose -4*y = 3*n - 171 + 133, 32 = 4*y + 2*n. Let j(o) be the first derivative of 8*o**2 - 10/3*o**6 + 44/5*o**y - 39 - 28/3*o**3 - 3*o**4 + 0*o. Factor j(d).
-4*d*(d - 1)**3*(5*d + 4)
Let z(f) be the third derivative of f**7/210 + 89*f**6/120 - f**5/20 - 269*f**4/24 - 89*f**3/3 + 7*f**2 - 16. Let z(h) = 0. Calculate h.
-89, -1, 2
Let g = 37987/32 - 1187. Let b(j) be the first derivative of 1/24*j**3 + 1/48*j**6 + 20 + g*j**4 + 3/40*j**5 + 0*j**2 + 0*j. Find o such that b(o) = 0.
-1, 0
Let x(v) be the first derivative of 4802*v**6/3 - 578984*v**5/5 + 3338664*v**4 - 47775168*v**3 + 335341728*v**2 - 865945728*v + 1490. Solve x(h) = 0 for h.
2, 102/7
Let b = -234044/5 + 46813. Factor 0 + 3/5*d**2 - b*d.
3*d*(d - 7)/5
Let w(a) = -9*a**2 - 24*a + 14. Let f be w(-3). Let l(g) be the first derivative of 0*g**3 - g**6 + 4/5*g**f + 6 + 0*g**4 + 0*g + 0*g**2. Factor l(t).
-2*t**4*(3*t - 2)
Let u(w) = w**3 + 24*w**2 - 25*w + 105. Let n be u(-25). Solve i**4 - n*i**3 - 5*i**4 + 132*i**3 + i**4 = 0.
0, 9
Let m(p) be the third derivative of -4*p**2 + 4*p - 5/156*p**4 + 0 - 4/13*p**3 - 1/780*p**6 + 1/65*p**5. Factor m(q).
-2*(q - 4)*(q - 3)*(q + 1)/13
Let a(f) be the second derivative of -13*f**4/6 - 5*f**3/3 + 42*f**2 + 23*f + 11. Factor a(t).
-2*(t + 2)*(13*t - 21)
Let s be 2/14 + (-32)/224. Let w(u) be the second derivative of -35*u + 0*u**2 + 1/4*u**5 - 5/6*u**4 + 0*u**3 + s. Suppose w(z) = 0. Calculate z.
0, 2
Let k(m) be the second derivative of -m**6/900 - 2*m**5/75 + 3*m**4/20 + 5*m**3/6 + 198*m. Let t(i) be the second derivative 