*b(t) - 68*c(t). Determine f, given that g(f) = 0.
-9, -3, 6
Suppose 58 - 152 = -49*p + 53. Let x(o) be the first derivative of 2*o - 1/2*o**4 + 2*o**p - 10 - 3*o**2. Factor x(u).
-2*(u - 1)**3
Let d be (-26)/(-7) + 12/42. Let u be 10 - (1/(-2))/((-27)/378). Determine y, given that -d*y**2 - 5*y**2 + y**u + 9*y**3 + 4*y**2 = 0.
0, 1/2
Let x = 1210 - 1172. Let d be ((x/665)/(2/40))/2. Factor -16/7 + d*r**3 - 4*r - 8/7*r**2.
4*(r - 4)*(r + 1)**2/7
Let v(f) be the first derivative of 1/12*f**3 - 209 + f + 1/2*f**2. Suppose v(d) = 0. Calculate d.
-2
Let -429/7*g**2 - 46/7*g**3 + 2300/7*g - 2500/7 - 1/7*g**4 = 0. Calculate g.
-25, 2
Let c(f) be the second derivative of -1/20*f**4 + 5*f**3 - 375/2*f**2 + 6 - 2*f. Factor c(j).
-3*(j - 25)**2/5
Let t(g) be the third derivative of g**8/224 - 59*g**7/35 + 6843*g**6/40 + 7021*g**5/10 + 14161*g**4/16 - 603*g**2. Factor t(b).
3*b*(b - 119)**2*(b + 1)**2/2
What is h in 27/8*h**3 + 1/8*h**5 + 149/8*h**2 - 147/2 - 13/8*h**4 - 28*h = 0?
-2, 3, 7
Let f(n) = n**3 + 8*n**2 - 9*n + 18. Let l be f(-9). Find w such that -43 - 57*w - l*w**2 + 16 + 18 = 0.
-3, -1/6
Let o(l) = l**2 - 3*l + 4. Let r(c) = -3*c**2 + 10*c - 15. Let n(j) = -21*o(j) - 6*r(j). Determine d, given that n(d) = 0.
-1, 2
Factor -14/5*i**4 + 0*i + 0*i**2 - 12/5*i**3 + 0.
-2*i**3*(7*i + 6)/5
Let y = -524 + 530. Suppose -43*h**2 - 35*h**2 - 33*h**2 + y*h - 15*h**3 + 102*h**2 = 0. Calculate h.
-1, 0, 2/5
Let j(p) be the second derivative of p**6/2700 + 7*p**5/150 + 49*p**4/20 + 26*p**3/3 - 36*p. Let z(o) be the second derivative of j(o). Solve z(i) = 0 for i.
-21
Factor 2*k + 0 - 2/3*k**2.
-2*k*(k - 3)/3
Let f be (((-208)/(-39))/(-16))/(3/(-27)). Let l = 7 - 5. Determine x so that -10*x - l*x**2 - 4*x**4 + 7*x**2 + 5*x**2 + 10*x**f + 6*x**4 - 12 = 0.
-3, -2, -1, 1
Let q(w) be the first derivative of -w**3/4 - 13*w**2/16 + 15*w/8 - 3977. Solve q(h) = 0 for h.
-3, 5/6
Suppose -l = 5*y - 10, 33 = 3*l + 3*y + 15. Let a(c) be the second derivative of 2*c**3 + 0 + 3/5*c**l - 1/10*c**6 + 27*c - 3/2*c**4 - 3/2*c**2. Factor a(k).
-3*(k - 1)**4
Determine z so that 3872/15 + 416/15*z**3 + 2/3*z**4 + 1264/5*z**2 - 11264/15*z = 0.
-22, 2/5, 2
Let s(u) = 806*u + 6. Let t be s(-1). Let c be t/(-44) + 4/(-22). Factor -4*k - 3*k**2 - 2*k + 0*k**2 + c + 9*k.
-3*(k - 3)*(k + 2)
Factor 3 + 24*u - u - 6*u**2 + u**3 - 3*u - 24*u + 21.
(u - 6)*(u - 2)*(u + 2)
What is v in -854*v - 80*v**4 + 80 + 46*v**3 + 79*v**4 - 477*v**2 + 1648 - 17*v - 425*v = 0?
-3, 1, 24
Let x(m) be the first derivative of -72 - 8/9*m**3 - 1/12*m**4 + 8/15*m**5 + 1/18*m**6 + 0*m + 0*m**2. Find f such that x(f) = 0.
-8, -1, 0, 1
Let j be 12*(-6)/54*-3. Let c(o) = 3*o**4 + 2*o**3 + 3*o**2 + 4*o. Let v(s) = -s**4 - s**3 - s. Let a(d) = j*v(d) + c(d). Find q such that a(q) = 0.
-3, 0, 1
Let f(v) be the first derivative of -v**5/90 - v**4/18 - v**3/9 - 21*v**2 - 2. Let u(w) be the second derivative of f(w). Determine s, given that u(s) = 0.
-1
Suppose -5*t + 5*m = -31 - 14, m - 4 = 0. Suppose t*f = 12*f + 2. Suppose 3/5*l**f + 4/5*l + 1/5*l**4 - 4/5 - 4/5*l**3 = 0. What is l?
-1, 1, 2
Factor 166*d + 709*d + 636610 - 3192*d + 3*d**2 + 472382 - 1331*d.
3*(d - 608)**2
Suppose 4*r - 56 + 20 = 0. Suppose 5*c + r*c**5 + 14*c**5 + 0 + 8*c**2 - 2*c**4 - 6*c**3 - 22*c**5 - 6 = 0. What is c?
-2, -1, 1, 3
Let y = -1169 - -1254. Suppose 0 = -y*w + 81*w. Determine l, given that 8/3 + w*l - 2/3*l**3 - 2*l**2 = 0.
-2, 1
Let p(a) = -a + 10. Let j(c) = -5*c**2 - 254*c + 1415. Let b(y) = -j(y) + 4*p(y). Factor b(s).
5*(s - 5)*(s + 55)
Let -15/4*n**4 + 35/4*n**3 + 10 + 35/4*n**2 - 5/4*n**5 - 45/2*n = 0. Calculate n.
-4, -2, 1
Let u be 4/(-16) + 6/(-168)*(7 - 38). Let m(h) be the first derivative of 0*h - u*h**2 + 2/21*h**3 + 26. Let m(b) = 0. What is b?
0, 6
Let j(b) be the second derivative of 1/24*b**4 + 0 + 15*b - 1/12*b**3 + 1/40*b**5 - 1/4*b**2. Factor j(u).
(u - 1)*(u + 1)**2/2
Let c(p) = 27*p**5 + 15*p**4 - 2*p**3 + 10*p**2 + 5*p + 5. Let u(f) = -24*f**5 - 15*f**4 + f**3 - 8*f**2 - 4*f - 4. Let y(w) = -4*c(w) - 5*u(w). Factor y(g).
3*g**3*(g + 1)*(4*g + 1)
Let a(g) = -9*g + 427*g**2 + 1 - 422*g**2 + 4 - 1. Let k(c) = 5*c + 3. Let s be k(-2). Let y(u) = 6*u**2 - 9*u + 3. Let t(p) = s*y(p) + 6*a(p). Factor t(o).
-3*(o - 1)*(4*o + 1)
Let i(c) be the third derivative of c**8/616 + 10*c**7/231 - 101*c**6/165 + 25*c**5/11 - 69*c**4/44 + 64*c**2 + 7*c - 1. Suppose i(v) = 0. What is v?
-23, 0, 1/3, 3
Factor -459/2*m - 3/4*m**2 - 70227/4.
-3*(m + 153)**2/4
Solve 20 + 2 + 8*k + 10 - 6*k**2 + 16 + 16 = 0.
-8/3, 4
Let s(q) be the third derivative of -q**6/48 + q**5/6 + 5*q**4/48 - 5*q**3/3 - 23*q**2 + 13*q. Factor s(d).
-5*(d - 4)*(d - 1)*(d + 1)/2
Suppose 12*d - 4082 = -d. Let k be 3/((-5)/35 + d/140). Let k*p**2 + 4/7*p + 2/7*p**4 + 8/7*p**3 + 0 = 0. Calculate p.
-2, -1, 0
Let k be 9/4 - -2*2/(-16). Suppose k*a + 3*d = 6, -5*a = -2*a - d + 2. Factor a*c**5 - 2*c**4 + 13*c**2 - 8*c**3 - 5*c**2 + 2*c**5.
2*c**2*(c - 2)*(c - 1)*(c + 2)
What is u in 2/9*u**4 - 14/9*u + 2*u**2 + 4/9 - 10/9*u**3 = 0?
1, 2
Factor -3/7*v**3 - 636/7*v + 324/7*v**2 + 0.
-3*v*(v - 106)*(v - 2)/7
Let h(l) be the third derivative of -l**7/210 - 7*l**6/15 - 26*l**5/15 + 28*l**4/3 + 72*l**3 + 190*l**2 - 1. Factor h(m).
-(m - 2)*(m + 2)**2*(m + 54)
Suppose 0 = 4*y + 1 - 9. Suppose 5*c - y*q = 84, 4*q + 31 = 3*c - 11. Factor -6*b + 0 - 9*b - b**2 + c + 4*b**2.
3*(b - 3)*(b - 2)
Let f(c) be the first derivative of -2*c**3/33 + 486*c**2/11 - 970*c/11 + 4862. Factor f(h).
-2*(h - 485)*(h - 1)/11
Let r(w) be the first derivative of -2/15*w**3 + 2/125*w**5 - 1/75*w**6 - 4/25*w**2 - 217 + 1/10*w**4 + 8/25*w. Suppose r(n) = 0. What is n?
-2, -1, 1, 2
Let r(d) be the first derivative of 12 + 3/7*d**6 + 0*d**2 - 9/14*d**4 + 4/21*d**3 - 4/35*d**5 + 0*d. Determine z so that r(z) = 0.
-1, 0, 2/9, 1
Let m(g) be the first derivative of 5*g**5/12 + 65*g**4/6 - 55*g**3/2 + 31*g**2 - 220. Let k(c) be the second derivative of m(c). Determine l so that k(l) = 0.
-11, 3/5
Find l such that 434*l + 51*l**2 - 25/2*l**3 - 980 + 1/2*l**4 = 0.
-5, 2, 14
Let z(m) = 444*m**5 + 119*m**4 - 4*m**3 + 6*m - 6. Let b(k) = 6215*k**5 + 1660*k**4 - 55*k**3 + 85*k - 85. Let w(j) = -6*b(j) + 85*z(j). Factor w(v).
5*v**3*(5*v + 2)*(18*v - 1)
Let g(m) = -m**3 + m**2. Let f(q) = 184*q**2 - 2100*q + 5500. Let k(u) = f(u) - 4*g(u). Factor k(y).
4*(y - 5)**2*(y + 55)
Determine j, given that -368640 - 1920*j**3 + 5/2*j**4 + 1920*j + 737275/2*j**2 = 0.
-1, 1, 384
Let i be (-8)/(-6)*5/3*54/30. Let s(h) be the second derivative of -1/120*h**6 + 0*h**2 + 0 - 1/12*h**i + 1/20*h**5 + 0*h**3 - 16*h. Solve s(t) = 0.
0, 2
Determine y so that 40 - 25*y**3 + 140*y + 46*y**3 + 40*y**4 - 9*y**5 + 29*y**5 + 190*y**2 + 104*y**3 - 15*y**5 = 0.
-2, -1
Let g(w) = -29*w**3 - 141*w**2 + 5619*w - 20164. Let p(x) = -110*x**3 - 565*x**2 + 22474*x - 80656. Let i(k) = 19*g(k) - 5*p(k). Let i(q) = 0. Calculate q.
4, 71
Let l(s) be the second derivative of s**8/6720 + s**7/360 - s**6/720 - 7*s**5/120 - 35*s**4/6 + 3*s - 24. Let x(o) be the third derivative of l(o). Factor x(p).
(p - 1)*(p + 1)*(p + 7)
Let p(j) = 8*j**2 + 17*j + 17. Let g = -232 + 229. Let i(u) = -23*u**2 - 52*u - 52. Let x(f) = g*i(f) - 8*p(f). Suppose x(o) = 0. Calculate o.
-2
Let x(d) be the second derivative of d**5/130 + 127*d**4/39 - 511*d**3/39 + 256*d**2/13 + 3*d + 1820. Factor x(w).
2*(w - 1)**2*(w + 256)/13
Factor 140*g**2 + 74*g**4 + 204*g**3 + 0*g**5 - 20*g**4 - 2*g**4 - 400*g + 4*g**5.
4*g*(g - 1)*(g + 4)*(g + 5)**2
Let a(b) be the first derivative of -64*b**6/21 - 2*b**5/35 + 96*b**4/7 + 262*b**3/21 + 2*b**2/7 - 8051. Solve a(k) = 0 for k.
-1, -1/64, 0, 2
What is c in 2/15*c**4 + 2858/15*c + 958/15*c**3 + 952/15 + 954/5*c**2 = 0?
-476, -1
Let t be -2 - (4/6)/((-23)/138). Solve 8*a**t - 20*a + 44*a - 19*a - 2*a**3 - 11*a = 0 for a.
0, 1, 3
Let g be (-4 + 260/64)/(3/2). Let y(p) be the third derivative of -g*p**3 - 1/240*p**5 + 0*p - 23*p**2 + 0 + 1/48*p**4. Factor y(q).
-(q - 1)**2/4
What is t in -39/5*t**3 + 144/5*t + 0 + 3/5*t**5 - 24*t**2 + 12/5*t**4 = 0?
-4, 0, 1, 3
Let 66603 + 135*p - 536*p + 3*p**2 - 57*p - 436*p = 0. Calculate p.
149
Let n(o) be the third derivative of o**6/160 - 23*o**5/80 + 43*o**4/32 - 21*o**3/8 - 33*o**2 + 8*o. What is x 