= c*n(x) - 3*d(x). Determine z so that u(z) = 0.
-3, 0
Let d be (91/(-210) - (-6)/10)/((-108)/(-21870)). Determine a so that 0*a + 75/2*a**2 - d*a**3 + 0 + 9*a**4 - 3/4*a**5 = 0.
0, 2, 5
Let n be -18 + 324744/7920 + -23. Let b(f) be the second derivative of 0*f**2 - 38*f - n*f**6 + 0*f**3 + 1/66*f**4 - 1/220*f**5 + 0. Let b(i) = 0. What is i?
-2, 0, 1
Let i(f) = -167*f**3 - 664*f**2 + 15*f - 4. Let q be i(-4). Factor -15/4*x**2 - 9/4*x + q - 3/2*x**3.
-3*x*(x + 1)*(2*x + 3)/4
Let q = -229158 + 687475/3. Find c such that -q*c**4 - 2/3*c**2 + 4/3*c**3 + 1 - 4/3*c = 0.
-1, 1, 3
Let k = 32023/6 - 5337. Let p(n) be the first derivative of -1/12*n**4 + k*n**2 + 9 + 2/9*n**3 - 2/3*n. Factor p(b).
-(b - 2)*(b - 1)*(b + 1)/3
Let x(t) = t**3 - 28*t**2 + 27*t + 9. Let o be x(27). Suppose 177*d**3 + 23 + 13*d + 627*d**4 + 71*d + 30*d + 1 - 558*d**4 + 207*d**2 + o*d**5 = 0. What is d?
-4, -1, -2/3
Let p = 242362/9 - 26926. Determine s so that 2/9*s**5 + 28/9*s**4 - 98/9*s + 32/3*s**3 + 0 - p*s**2 = 0.
-7, -1, 0, 1
Let f(y) be the third derivative of y**7/140 + 23*y**6/40 + 77*y**5/8 + 225*y**4/4 + 12547*y**2. Factor f(t).
3*t*(t + 5)**2*(t + 36)/2
Let m(x) be the third derivative of 2*x**7/35 + 65*x**6/6 + 3057*x**5/5 + 6625*x**4/2 + 11236*x**3/3 - 2*x**2 + 1354*x + 1. Let m(c) = 0. Calculate c.
-53, -2, -1/3
Let b(s) be the third derivative of -s**7/315 + s**6/45 - s**5/30 - 11*s**2 - 127*s. Factor b(u).
-2*u**2*(u - 3)*(u - 1)/3
Suppose n = -4 + 21. Let -53*h + 8*h - 2 + n*h**2 + 3*h**2 + 12 = 0. What is h?
1/4, 2
Let j(h) be the second derivative of -2/5*h**5 + 11/3*h**4 + 11*h + 1 - 26/3*h**3 + 8*h**2. Find n such that j(n) = 0.
1/2, 1, 4
Factor 1/3*c**3 - 91/3*c + 2*c**2 + 0.
c*(c - 7)*(c + 13)/3
Let x(m) be the second derivative of 71*m**4/8 - 36*m**3 + 3*m**2 - m - 297. Factor x(t).
3*(t - 2)*(71*t - 2)/2
Let c(l) = -14*l + 1109. Let q be c(79). Let a = -1 + 5. Factor 3*v**q + v**a + 0*v**4 - 29 + 29 + v + 3*v**2.
v*(v + 1)**3
Let q(p) be the first derivative of p**4/12 + 11*p**3/2 - 66*p - 36. Let i(a) be the first derivative of q(a). Factor i(s).
s*(s + 33)
Let w(s) be the first derivative of -s**4/2 + 802*s**3/3 + 404*s**2 - 1608*s + 6557. Factor w(o).
-2*(o - 402)*(o - 1)*(o + 2)
Find f, given that -50/7*f**3 - 38/7*f**2 - 16/7 + 60/7*f - 10/7*f**5 + 54/7*f**4 = 0.
-1, 2/5, 1, 4
Let d = -322976 + 322978. Find a, given that -60*a**4 + 58/3*a**d - 25/3*a**5 + 44*a - 269/3*a**3 - 40/3 = 0.
-5, -2, -1, 2/5
Suppose -l - s = -4*s + 15, 0 = l - 2*s + 9. Let b(t) be the third derivative of 7/8*t**4 + 0*t**5 + 0*t - 24*t**2 + l*t**3 - 1/40*t**6 + 0. Factor b(x).
-3*(x - 3)*(x + 1)*(x + 2)
Let y(i) = -32*i**2 + 7*i - 20. Let g(p) = 139*p**2 - 29*p + 76. Let t(m) = 6*g(m) + 26*y(m). Factor t(r).
2*(r - 4)*(r + 8)
Let p be (12/10)/((-7782)/(-12970)). Factor -72/5*t - 3/5*t**p + 0.
-3*t*(t + 24)/5
Determine g so that 94*g**2 - 7843423 - 3253322 - 5354391 - 8112*g - 196*g**2 + 101*g**2 = 0.
-4056
Let k(d) = -2*d**3 - 12*d**2 + 25*d - 50. Let q be k(-8). Let f(v) be the first derivative of 7*v**2 - 4/3*v**3 - 8*v - q - 1/2*v**4. Factor f(c).
-2*(c - 1)**2*(c + 4)
Suppose 3*y = 3*h + 24, h = -0*y - 3*y + 12. Solve 2 - 2 - 2192*z + 2197*z + y*z**2 - 5*z**4 - 5*z**3 = 0.
-1, 0, 1
Let d(r) be the third derivative of -1/30*r**5 - 2/3*r**4 + 0*r - 7/3*r**3 + 0 + 55*r**2. Let d(g) = 0. What is g?
-7, -1
Let k = 13679 - 13675. Let d(x) be the first derivative of 35/3*x**3 - 3 - 13/2*x**2 + 49/4*x**k + x. Suppose d(o) = 0. Calculate o.
-1, 1/7
Let q(i) = i**3 + 2*i - 16. Let o(m) = m**4 - 36*m**3 - 225*m**2 - 353*m - 108. Let z(r) = -2*o(r) - 6*q(r). Factor z(j).
-2*(j - 39)*(j + 1)**2*(j + 4)
Factor -159975/7*v + 1404/7*v**2 - 1011042/7 - 3/7*v**3.
-3*(v - 237)**2*(v + 6)/7
Let w be 1/4 - (-2145)/(-52). Let x = 44 + w. Factor -13*v**2 - 5*v**5 + x*v**2 - 25*v**3 - 14*v**4 - 6*v**4.
-5*v**2*(v + 1)**2*(v + 2)
Let h(q) = 7*q**3 + 4*q**2 - 3*q + 5. Let y = 3 - -2. Let i(u) = 842*u + 6 - 2538*u + 4*u**2 + 844*u + 8*u**3 + 848*u. Let w(s) = y*i(s) - 6*h(s). Factor w(r).
-2*r*(r + 1)**2
Let k(v) be the second derivative of -v**7/14 + 9*v**6/10 + 3*v**5/20 - 81*v**4/4 + 36*v**3 + v - 329. Determine c, given that k(c) = 0.
-3, 0, 1, 3, 8
Let l = -1390 + 1390. Let t(a) be the first derivative of 0*a**3 - 1/18*a**6 + 1/6*a**4 - 24 + 0*a**5 - 1/6*a**2 + l*a. Factor t(u).
-u*(u - 1)**2*(u + 1)**2/3
Let y(o) be the first derivative of -4*o**5/35 - 5*o**4/21 + 2*o**3/3 + 4*o**2/7 + 230*o + 74. Let w(d) be the first derivative of y(d). Solve w(j) = 0.
-2, -1/4, 1
Let p be (4 - 4)/(3 + (-14)/7). Let q(i) be the second derivative of p*i**3 + 0*i**2 - 1/60*i**4 + 0 + 14*i. Factor q(o).
-o**2/5
Let y be -8 + 3 - (9 - 8). Let l be (-24)/y - (-24 + 26). Determine p, given that 2/3*p**4 + 0 + 4*p**l + 4/3*p + 3*p**3 = 0.
-2, -1/2, 0
Let d(z) be the second derivative of -z**6/120 + z**5/40 + 29*z**4/48 - 17*z**3/4 + 9*z**2 + z - 29. Let d(f) = 0. Calculate f.
-6, 1, 3, 4
Let h = 4308/8987 + 54/817. Factor -h*q + 4/11 + 2/11*q**2.
2*(q - 2)*(q - 1)/11
Factor -96*k - 36 + 149*k**3 - 38*k**3 - 64*k**3 - 69*k**2 - 62*k**3.
-3*(k + 2)**2*(5*k + 3)
Let y(j) = j**3 + 11*j**2 + 2*j + 24. Let v(p) = -p**2 + 22*p - 96. Let b be v(5). Let x be y(b). Factor x*h - 2/5 + 12/5*h**2.
2*(h + 1)*(6*h - 1)/5
Let k(g) = -4*g**3 + 14*g**2 - g - 15. Let q be k(8). Let a be (20/3)/(-4)*282/q. Factor -32/5*p**2 - a + 16/5*p.
-2*(4*p - 1)**2/5
Let -64*s**2 - 4/3*s**3 - 832/3 + 272*s = 0. Calculate s.
-52, 2
Let r(d) = 18*d**3 + 3*d**2 - 4*d + 1. Let u be r(1). Let n be (2 - 21/u) + (-130)/300. Solve 10 + n*c**2 + 4*c = 0 for c.
-5
Let w be (-13)/(-39)*(-9)/6 + 1. Let n(b) be the third derivative of w*b**3 - 1/60*b**5 - 16*b**2 + 0*b + 0 - 1/12*b**4. Solve n(k) = 0.
-3, 1
Suppose 5*j = -15*o + 14*o + 20, -5*j - 10 = 0. Factor 66*c**3 - 33*c**3 - 38*c**3 + 45*c - o*c**2 + 70.
-5*(c - 2)*(c + 1)*(c + 7)
Let r(x) be the second derivative of 0 - 4/11*x**3 - 2/11*x**6 + 3/77*x**7 - 18*x - 24/11*x**2 + 9/11*x**4 + 3/110*x**5. Suppose r(l) = 0. What is l?
-1, -2/3, 1, 2
Let c(s) be the first derivative of -2*s**6/3 - 4*s**5/7 + 30*s**4/7 + 80*s**3/21 - 16*s**2/7 - 6879. Let c(k) = 0. Calculate k.
-2, -1, 0, 2/7, 2
Let n(h) be the first derivative of h**7/2100 + 8*h**6/225 - 11*h**5/100 - 143*h**3/3 + 5. Let j(r) be the third derivative of n(r). Factor j(p).
2*p*(p - 1)*(p + 33)/5
Let u(p) be the second derivative of p**7/45 - p**6/20 + p**5/45 - 33*p**2 - 11*p. Let d(l) be the first derivative of u(l). Determine a so that d(a) = 0.
0, 2/7, 1
Let p = -485 - -971/2. Let n(z) be the second derivative of 25/42*z**7 - 6*z + 0*z**2 - 7/6*z**6 + 0*z**4 + p*z**5 + 0 + 0*z**3. Factor n(j).
5*j**3*(j - 1)*(5*j - 2)
Let f(z) be the second derivative of -z**5/25 + 2*z**4/15 + 22*z**3/15 - 24*z**2/5 + 2*z - 689. Determine j, given that f(j) = 0.
-3, 1, 4
Let t(a) = -a**2 - 204*a - 7299. Let q be t(-127). Suppose -q*z - 7688/3 - 2/3*z**3 + 82*z**2 = 0. Calculate z.
-1, 62
Factor 3051*o**2 + 783*o + 23263*o**4 - 1405*o**3 - 842*o - 23268*o**4 - 5641*o + 2629*o**2.
-5*o*(o - 2)**2*(o + 285)
Let l(k) be the second derivative of -k**7/231 - 452*k**6/165 - 10305*k**5/22 - 16875*k**4/11 - 12*k - 40. Solve l(c) = 0.
-225, -2, 0
Let b be 33*((-55)/33)/5. Let m be (b + 11)/((-32)/4). What is j in -1/4*j**3 - j + m + 5/4*j**2 = 0?
0, 1, 4
Let m = 130 + -127. Let -10 - 6*d**2 + 11*d**3 + 2*d**3 - 15*d**m + 9*d + 9*d = 0. Calculate d.
-5, 1
Find u such that -12*u - 5*u**2 - 3*u**2 + 36*u - 66*u + 5*u**2 = 0.
-14, 0
Let j = -36547 + 255832/7. Factor -j*b**2 + 18/7 + 3/7*b.
-3*(b - 3)*(b + 2)/7
Let i(u) be the first derivative of -u**6/27 - 14*u**5/45 - 5*u**4/18 + 14*u**3/27 + 2*u**2/3 + 1041. Determine m, given that i(m) = 0.
-6, -1, 0, 1
Let f(y) = -2*y**2 + 39*y + 40. Let z be f(20). Factor 12*l + 3199*l**2 - 5 - 3197*l**2 + z + 3.
2*(l + 3)**2
Let y be (-51)/(15/5) - -22. Let g(i) be the second derivative of 0 + i**y - 14*i + 5/3*i**3 - 25/12*i**4 - 1/6*i**6 + 0*i**2. Suppose g(s) = 0. What is s?
0, 1, 2
Let x be 336/144 + -1 + (-2)/(-3). What is h in -41*h**2 - 47*h**2 + 68*h - 64 + 84*h**x = 0?
1, 16
Let a(o) = 3*o**2 - 90*o + 4. Let j be a(30). Factor -25*t**2 - 6*t**3 + 6*t**3 + t**j - 7*t**3 + 31*t**2.
t**2*(t - 6)*(t - 1)
Determine f 