**2 + 12288/11.
2*(v - 12)*(v - 8)**3/11
Let r = 15/24547 - -196301/122735. What is a in r*a**3 - 12/5*a + 0 - 2/5*a**2 - 2/5*a**4 = 0?
-1, 0, 2, 3
Let p = -19167 - -19167. Let u(x) be the first derivative of -33/26*x**4 + 36 - 4/13*x**2 + 16/13*x**3 + 2/65*x**5 + p*x + 4/13*x**6. Find c such that u(c) = 0.
-2, 0, 1/4, 2/3, 1
Let x(a) = -66*a - 2108. Let v be x(-32). Let t(k) be the second derivative of -2/3*k**3 + 0 + 1/3*k**v - 10*k - 4*k**2. Factor t(q).
4*(q - 2)*(q + 1)
Find m, given that 2444*m - 2986568 - 1/2*m**2 = 0.
2444
Let l be (-1 + 21/15)*(2 + 18). Suppose l*t - 11*t = -9. Solve -4*q + 16*q**3 - 25*q**3 + 6*q**2 + 7*q**t = 0 for q.
0, 1, 2
Suppose 30*m - 487 = 23. Let o(v) be the third derivative of 0 + m*v**2 - 1/108*v**4 + 1/270*v**5 + 0*v + 0*v**3. Factor o(r).
2*r*(r - 1)/9
Factor -152352/5 + 1104/5*y - 2/5*y**2.
-2*(y - 276)**2/5
Let 0 + 0*j + 4/5*j**5 - 36*j**2 - 356/5*j**3 - 172/5*j**4 = 0. What is j?
-1, 0, 45
Let d(h) be the second derivative of -5*h**7/7 - 91*h**6/6 - 301*h**5/4 + 305*h**4/2 + 400*h**3/3 - 320*h**2 - 631*h. Suppose d(p) = 0. Calculate p.
-8, -2/3, 1/2, 1
Let a = 14247 - 14247. Let f(t) be the second derivative of -t + 0 - 1/42*t**4 - 4/21*t**3 + a*t**2. Factor f(d).
-2*d*(d + 4)/7
Let m(v) be the second derivative of 25*v**4/12 + 2045*v**3/3 - 820*v**2 + 2*v - 90. Factor m(q).
5*(q + 164)*(5*q - 2)
Let i(f) be the second derivative of 0*f**2 + 0*f**3 + 0 + 36*f + 1/8*f**4 + 23/80*f**5 - 1/30*f**6. Suppose i(c) = 0. Calculate c.
-1/4, 0, 6
Factor -7049690 - 501*d**4 + 116145*d**2 + 506*d**4 - 1123115*d + 4410330*d + 1325*d**3.
5*(d - 2)*(d + 89)**3
Let i be -422 - -434 - (-28)/24*-10. Determine v, given that -i*v**2 - 2*v - 8/3 = 0.
-4, -2
Let h(b) be the first derivative of b**7/168 - 5*b**6/72 + b**5/12 + 5*b**4/3 + 8*b**3/3 + 14*b - 218. Let a(k) be the third derivative of h(k). Factor a(q).
5*(q - 4)*(q - 2)*(q + 1)
Let l be (4 + (-2)/2)/((-18)/(-8)). Let c be (-400)/(-120) - 16/12. Factor 0 + 0*o**c + 0*o**3 + 4/3*o**4 - l*o**5 + 0*o.
-4*o**4*(o - 1)/3
Let i(n) be the second derivative of -n**7/21 - 46*n**6/15 + n**5/5 + 46*n**4/3 - n**3/3 - 46*n**2 - 1269*n. Determine x so that i(x) = 0.
-46, -1, 1
Let h = 51 - 55. Let t(s) = -5*s**2 - 2*s. Let c(o) = o**2. Let x(f) = h*c(f) - t(f). Factor x(i).
i*(i + 2)
Let d(z) be the first derivative of z**5/200 - 7*z**3/60 + 3*z**2/10 + 53*z - 6. Let h(t) be the first derivative of d(t). Let h(v) = 0. Calculate v.
-3, 1, 2
Let q(w) be the second derivative of w**7/70 + w**6/40 - 3*w**5/20 - w**4/8 + w**3 + 10*w**2 + 3*w - 11. Let v(r) be the first derivative of q(r). Factor v(s).
3*(s - 1)**2*(s + 1)*(s + 2)
Let c(t) = -64*t**3 + 776*t**2 - 664*t - 64. Let p(u) = -66*u**3 + 775*u**2 - 662*u - 67. Let a(q) = -5*c(q) + 4*p(q). Factor a(s).
4*(s - 13)*(s - 1)*(14*s + 1)
Suppose -k - c + 165 = 0, 519 = 4*k + 5*c - 146. Let a = k + -158. Factor 0 + 25/2*y**5 + a*y - 11/2*y**3 + 15*y**4 - 6*y**2.
y*(y + 1)**2*(5*y - 2)**2/2
Let r(t) = t**3 + 5*t - 5 - 152 + t - 16*t**2 - 6 - 12*t**2. Let q be r(28). Suppose 0*w**2 + 14/9*w**4 + 0*w - 4/9*w**q + 0 - 2/3*w**3 = 0. Calculate w.
0, 1/2, 3
Let d be (6 - 8)/2 - 3/(-1). Factor 1 + 1638*p**3 - 1637*p**3 - 4*p - 9 + d*p**2.
(p - 2)*(p + 2)**2
Let k = -7132 - -7138. Let s(v) be the first derivative of 1/24*v**k + 0*v**3 + 0*v**5 - 1/16*v**4 + 0*v - 15 + 0*v**2. Find t such that s(t) = 0.
-1, 0, 1
Factor 20*g**3 - 32*g**3 + 3931*g - 43560 + 17*g**3 - 370*g**2 + 4154*g.
5*(g - 33)**2*(g - 8)
Suppose 6*n = 14 + 46. Let d(x) = -x + 1. Let w(j) = -3*j**3 - j**2 + 3*j + 1. Let z(f) = n*d(f) - 2*w(f). Let z(s) = 0. What is s?
-2, 2/3, 1
Let h(k) = k + 10. Let a be h(-5). Factor 76*q + 2*q - 3*q - a*q**2.
-5*q*(q - 15)
Let g(o) = 5*o**2 - 12*o + 13. Suppose -5*t + 9*t = 148. Let n(j) = -10*j**2 - 64*j + 12 - t + 89*j. Let b(r) = -5*g(r) - 3*n(r). Factor b(h).
5*(h - 2)*(h - 1)
Let k(p) be the third derivative of -5*p**8/84 - 944*p**7/105 - 11233*p**6/30 - 4418*p**5/15 - p**2 + 76*p - 11. Suppose k(r) = 0. What is r?
-47, -2/5, 0
Let t(a) = a**2 - 59640*a - 59282096. Let y(h) = 39760*h + 39521400. Let b(j) = 5*t(j) + 8*y(j). Suppose b(c) = 0. Calculate c.
-1988
Factor -174/7*p - 2/7*p**2 + 1940/7.
-2*(p - 10)*(p + 97)/7
Let r(p) be the second derivative of p**4/32 + 367*p**3/16 + 549*p**2/8 - 545*p - 1. Find u, given that r(u) = 0.
-366, -1
Determine j, given that -1/5*j - 12/5 + 1/5*j**2 = 0.
-3, 4
Let q(v) be the third derivative of -1/30*v**7 - 17*v**2 + 0*v**3 + 0*v + 0 + 1/336*v**8 + 1/3*v**4 + 3/20*v**6 - 1/3*v**5. Solve q(o) = 0 for o.
0, 1, 2
Let r(y) be the third derivative of -y**8/1512 + y**7/945 + 2*y**6/135 - 2*y**5/45 + 3351*y**2. Factor r(x).
-2*x**2*(x - 2)**2*(x + 3)/9
Suppose p = 24*p - 345. Let m be (5 - (-265)/(-50))*p/(-18). Solve 3/4*d + 0 - m*d**2 = 0.
0, 3
Let r(x) be the third derivative of 5*x**7/112 + 57*x**6/32 - 711*x**5/160 + 27*x**4/8 + 2543*x**2 - 2*x. Factor r(d).
3*d*(d + 24)*(5*d - 3)**2/8
Let i = 8086 + -8086. Determine n, given that -2/3*n**5 + 0 + 4/3*n**4 + 2*n**3 + 0*n + i*n**2 = 0.
-1, 0, 3
Factor 2*c**2 - 7688*c + 1959448 - 167886 + 3084*c + 858040.
2*(c - 1151)**2
Let h = 964/845 + -5296/7605. Suppose -260/3*y**2 - h*y**4 + 12*y**3 + 676/9*y + 0 = 0. Calculate y.
0, 1, 13
Let u(l) be the third derivative of l**6/180 + 107*l**5/30 + 71*l**4/4 + 319*l**3/9 - 147*l**2. Factor u(b).
2*(b + 1)**2*(b + 319)/3
Suppose 4*b + 2 - 18 = 0. Suppose -3*m**b + 3*m**2 - 6*m + 11*m**3 - 6*m**3 - 5*m**5 + 2*m**5 + 4*m**3 = 0. Calculate m.
-2, -1, 0, 1
Let b be ((-4)/(-14))/(6/(-56)). Let n = -1 - b. Factor n*r**3 + 2/3*r**2 + 0 + 0*r.
r**2*(5*r + 2)/3
Factor -277 - 80*s**3 + 742098*s + 22 - 110*s**2 + 5*s**4 - 741658*s.
5*(s - 17)*(s - 1)**2*(s + 3)
Let y be (6 - 0)*((-74)/(-925) - (-32)/225). Suppose -16/3*h**2 - 1/6*h**5 + 0 + 32/3*h - 2*h**3 + y*h**4 = 0. Calculate h.
-2, 0, 2, 4
Let b be ((-1810)/1086)/(5/(-9)). Let l(i) be the second derivative of 1/48*i**4 + 0 - 1/4*i**2 + 1/24*i**b + 25*i. Factor l(u).
(u - 1)*(u + 2)/4
Suppose 3*o + 652 - 647 = t, 3*o - 3*t = -15. Let c(q) be the second derivative of o*q**2 + 0 + 0*q**5 + 2/15*q**6 - 13*q + 0*q**3 - 1/3*q**4. Factor c(p).
4*p**2*(p - 1)*(p + 1)
Suppose 55*c + 34067 - 34232 = 0. Find t such that -6/5 - 1/5*t**c + 7/5*t**2 - 1/5*t**4 + 1/5*t = 0.
-3, -1, 1, 2
Let j(d) be the second derivative of -d**7/378 - 11*d**6/54 - 20*d**5/9 - 290*d**4/27 - 760*d**3/27 - 376*d**2/9 - 2747*d. Factor j(o).
-(o + 2)**4*(o + 47)/9
Let m(z) be the third derivative of z**5/120 - 7*z**4/8 - 300*z**2 - 1. Factor m(o).
o*(o - 42)/2
Let j(t) be the third derivative of -143*t**8/280 - 856*t**7/525 + t**6/75 + 143*t**5/25 + 85*t**4/12 - 2*t**3/15 + 1674*t**2. Find l, given that j(l) = 0.
-1, 2/429, 1
Let j = 13222 - 13192. Let w(l) be the third derivative of 1/180*l**5 + 0*l + 0 + 1/3*l**3 + 5/72*l**4 + j*l**2. Solve w(u) = 0 for u.
-3, -2
Find a, given that 360 + 36212*a**5 - 714*a**2 - 136*a**2 + 90*a**4 + 720*a - 180*a - 36237*a**5 + 165*a**3 = 0.
-3, -2/5, 2, 3
Let g(y) be the first derivative of -38/3*y - 59 - 2/9*y**3 + 20/3*y**2. Solve g(x) = 0.
1, 19
Factor -12534769*p**4 + 12534773*p**4 + 2629*p**3 + 19*p**3.
4*p**3*(p + 662)
Let r(l) = l + 18. Suppose 50*d - 47*d = -48. Let j be r(d). Factor 12*a**3 + 23*a**4 + 6*a - 20*a**4 - 15 + 15 + 15*a**j.
3*a*(a + 1)**2*(a + 2)
Let h(y) be the second derivative of -y**4/66 - 250*y**3/11 - 140625*y**2/11 - 10*y + 120. Factor h(j).
-2*(j + 375)**2/11
Let b(o) be the third derivative of -4*o**7/525 - o**6/900 + o**5/450 + 121*o**2 - 6. Factor b(l).
-2*l**2*(3*l + 1)*(4*l - 1)/15
Let h(c) be the first derivative of c**6/33 + 28*c**5/55 + 45*c**4/22 + 104*c**3/33 + 20*c**2/11 - 1965. Let h(t) = 0. What is t?
-10, -2, -1, 0
Let r(s) = -15929*s - 143359. Let y be r(-9). Determine m so that -36 + 81/2*m**3 - 3*m**4 + 9*m**y - 66*m - 9/2*m**5 = 0.
-3, -1, -2/3, 2
Let b = 4334 - 26003/6. Let r(g) be the first derivative of 0*g**2 - 13 - 4/45*g**5 - 2/27*g**3 + 0*g + b*g**4. Factor r(a).
-2*a**2*(a - 1)*(2*a - 1)/9
Let r(s) = -s**3 + 8*s**2 - 29*s - 38. Let d(l) = -5*l**3 + 38*l**2 - 145*l - 188. Let m(y) = 6*d(y) - 33*r(y). Factor m(g).
3*(g - 7)*(g - 6)*(g + 1)
Let c be ((6/(-4))/((-3)/(-6)))/((-4164)/2776). Find r, given that 81/