 of -2*d**3/3 - 734*d**2 - 269378*d + 681. Suppose q(v) = 0. What is v?
-367
Factor -20/9 + 4/3*a**2 + 2/3*a + 2/9*a**3.
2*(a - 1)*(a + 2)*(a + 5)/9
Factor 0*h - 363*h**3 + 22*h**4 + 0 - 1/3*h**5 + 0*h**2.
-h**3*(h - 33)**2/3
Let r be 6/(-12)*(14 - 165/6). Factor 0 - 3*v - 9/2*v**3 + 3/4*v**4 + r*v**2.
3*v*(v - 4)*(v - 1)**2/4
Let g = -362974804/19 + 4148804374631/217170. Let k = g - 1/1270. Factor 2/9*z**2 + k + 28/9*z.
2*(z + 7)**2/9
Let i(o) = 9 - 48*o**2 - 321*o - 5 + 17 + 18 - 6. Let k(b) = 3*b**2 + 20*b - 2. Let l(n) = 2*i(n) + 33*k(n). Factor l(j).
3*j*(j + 6)
Let t be 52 + 32/(-480)*770. Let -t*p**3 + 0 - 18*p**2 + 56/3*p = 0. What is p?
-28, 0, 1
Let x(v) be the second derivative of 3*v**5/20 + 5*v**4/4 - 28*v**3 - 90*v**2 + 637*v. Determine k, given that x(k) = 0.
-10, -1, 6
Let c be (2 - (-124)/(-60))*81/(-3). Let b(i) be the first derivative of 0*i - 9 + 3*i**3 - 3/4*i**4 + 1/2*i**6 - c*i**5 + 0*i**2. Determine w so that b(w) = 0.
-1, 0, 1, 3
Let z(t) be the first derivative of -5*t**6/18 + 97*t**5/3 + 4175*t**4/12 + 2875*t**3/9 - 4375*t**2 + 3331. Solve z(n) = 0.
-5, 0, 2, 105
Factor 5856/7*s + 6/7*s**3 + 1482/7*s**2 + 5832/7.
6*(s + 2)**2*(s + 243)/7
Let u be (2578/(-36092))/(2/(-56)). Solve -1 - 1/2*f + 1/2*f**3 + f**u = 0 for f.
-2, -1, 1
Let n(o) be the first derivative of -7/46*o**4 - 6/23*o**2 - 26/69*o**3 + 127 + 2/115*o**5 + 1/69*o**6 + 0*o. Find u, given that n(u) = 0.
-2, -1, 0, 3
Factor -97/4*t**3 + 0 - 1/4*t**5 + 66*t**2 - 36*t - 11/2*t**4.
-t*(t - 1)**2*(t + 12)**2/4
Let s be (2/3 + 76/(-24))*-8. Suppose -3*c = -4*z + s, 2 = 16*z - 13*z + c. Factor 0*d + 3/5 - 3/5*d**z.
-3*(d - 1)*(d + 1)/5
Let j(z) be the second derivative of 5*z**4/12 - 940*z**3 + 795240*z**2 + 1711*z. Factor j(b).
5*(b - 564)**2
Let o be (-1 - 14/6)*18/(-30). Factor 1/3*w**o + 0 - 46/3*w.
w*(w - 46)/3
Let x(j) be the third derivative of j**5/90 + 79*j**4/12 - 478*j**3/9 - 3856*j**2. Factor x(y).
2*(y - 2)*(y + 239)/3
Let k = -366 - -351. Let x be 5 + (-3)/k*-5. Let 0*w + 27/2*w**3 + 36*w**x + 0 + 3/2*w**2 + 24*w**5 = 0. What is w?
-1, -1/4, 0
Factor 1412215*l**3 - 228*l + 32*l**2 - 1412212*l**3 - 19*l**2 + 240 + 27*l**2 + 8*l**2.
3*(l - 2)**2*(l + 20)
Let l be 18/((21/(756/(-480)) + 13)/(2/(-102))). What is s in -20/17*s - l - 2/17*s**2 = 0?
-9, -1
Let l(b) = -16*b**2 - b + 2. Let n be l(1). Let a be (-1 - 8/(-10))*n. Solve -9 + 2 + 2*u**2 + u + u**a + 7 = 0 for u.
-1, 0
Suppose -3*z = -4*z - 31. Let q = z - -50. Factor -14*i**3 + 60*i**2 + 320 + q*i**3 + 90*i + 150*i.
5*(i + 4)**3
Let g(p) be the first derivative of -5*p**6/6 + 194*p**5 - 16070*p**4 + 517230*p**3 - 6489315*p**2/2 + 5000940*p + 1945. Solve g(j) = 0.
1, 4, 63
Let r(l) be the third derivative of -l**5/80 - 577*l**4/64 + 289*l**3/16 - 2530*l**2. Let r(d) = 0. What is d?
-289, 1/2
Let h(r) be the second derivative of -r**4/8 - 34*r**3 - 201*r**2 - 2402*r. Solve h(s) = 0.
-134, -2
Let t = 68/9 + -337/45. Let p(o) be the first derivative of -1/25*o**5 - t*o**3 + 2/5*o + 10 + 3/10*o**2 - 3/20*o**4. Factor p(i).
-(i - 1)*(i + 1)**2*(i + 2)/5
Let j(c) be the first derivative of -5*c**3/3 + 80*c**2 + 4165*c + 6955. Factor j(r).
-5*(r - 49)*(r + 17)
Let l be 1/2*(-3 + -10 - -13)/(11/11). Let l + 2/15*k**2 - 38/15*k = 0. Calculate k.
0, 19
Factor -844/7 - 2/7*w**2 - 846/7*w.
-2*(w + 1)*(w + 422)/7
Suppose 422 = 24*f - 1114. Suppose -33*x + 35 + f = 0. Determine b, given that -1/5*b**x + 3/5*b - 2/5*b**2 + 0 = 0.
-3, 0, 1
Let p = -8950843/15 + 596757. Factor 64/15*n**2 + p*n + 0 + 2/15*n**3.
2*n*(n + 16)**2/15
Suppose -4*u = 0, -3*x + 4*u - 45 = u. Let f be ((-6)/(-8))/(x/(-10)). Factor -5/8*i + f + 1/8*i**2.
(i - 4)*(i - 1)/8
Let l = 2 + 3. Suppose -9*b + 16 = -11. Suppose -5*o**2 - b*o**2 + 15*o + 3*o**2 + l*o = 0. Calculate o.
0, 4
Let f(m) = -m**2 - 1. Let i(b) = -2*b**2 - 3*b - 11. Let p = -202 - -197. Let k(g) = p*f(g) + i(g). Factor k(n).
3*(n - 2)*(n + 1)
Let w(h) = 3676*h - 22056. Let v be w(6). Factor v - 1/3*o**4 + 0*o + 2/3*o**3 + o**2.
-o**2*(o - 3)*(o + 1)/3
Suppose 4923*y + 0 + 0 = 4813*y. Find z such that -8/7*z**2 + y*z + 0 - 18/7*z**5 - 2*z**4 + 40/7*z**3 = 0.
-2, 0, 2/9, 1
Let s = 192 - 189. Find y such that y**2 - s*y**4 + 6 - 17*y + 9*y**2 - y**4 + 4*y**2 + y**5 = 0.
-2, 1, 3
Suppose 4*j = t - 9, 0 = -2*j + 4*t - 10 - 12. Let v be (-2 + j/(-2))*174/(-18). Determine z so that v*z**3 - 3/2*z**4 - 45*z**2 + 48*z - 16 = 0.
2/3, 1, 4
Factor 48 + 659*n**2 - 233*n**2 - 221*n**2 - 28*n - 2*n**3 - 227*n**2 + 4*n**3.
2*(n - 12)*(n - 1)*(n + 2)
Let r be -9 + (-33)/(-4) - (-19354)/(-8). Let p = r + 2422. Find z, given that 0*z + 6/17*z**4 - 14/17*z**p + 8/17 - 2/17*z**5 + 2/17*z**3 = 0.
-1, 1, 2
Let d(m) be the second derivative of m**6/45 + 2*m**5/5 + 29*m**4/18 + 2*m**3 - 227*m. Factor d(j).
2*j*(j + 1)*(j + 2)*(j + 9)/3
Suppose -4*d - 3*m + 736 = 215, 0 = -5*d - 3*m + 649. Let l = d - 123. Factor -36/5*w - 64/5*w**2 - 4/5*w**l - 24/5*w**4 - 56/5*w**3 - 8/5.
-4*(w + 1)**4*(w + 2)/5
Let w(k) be the third derivative of 1/8*k**3 + 0 - 19/96*k**4 + 107*k**2 + 11/80*k**5 + 0*k - 3/160*k**6. Factor w(n).
-(n - 3)*(3*n - 1)**2/4
Factor -296 - 2003*w + 4111*w - 2042*w + 2*w**2.
2*(w - 4)*(w + 37)
Let b(d) be the second derivative of -3*d**5/20 + 3*d**4/2 + 7*d**3/2 + 55*d. Let b(u) = 0. Calculate u.
-1, 0, 7
Let u = -97 + 142. Let d be ((-6)/2)/(u/(-30)). Factor 4*b**2 - 16*b**d - 80 + 84 + 8*b.
-4*(b - 1)*(3*b + 1)
Let d(p) = -p**3 + 14*p**2 - 13*p + 8. Let l be d(13). Suppose -l*f + 3 = -7*f. Suppose 0*y**3 + 4*y**3 - 8*y**f + y**3 + 3*y**4 = 0. Calculate y.
0, 1
Let d(q) be the second derivative of -6*q + 0*q**2 - 441/8*q**3 - 3/80*q**5 - 11 + 21/8*q**4. Determine h, given that d(h) = 0.
0, 21
Let w(a) = 34*a - 1. Let o be w(-5). Let f be 2/(-9) - 1178/o. Determine r so that f + 4/3*r**2 - 8*r = 0.
1, 5
Let v be ((-14 - 4) + 4672/219)*3. Solve -5/2*z**3 - v*z**2 + 30*z + 0 = 0.
-6, 0, 2
Let 102400 + 4*x**4 + 17021*x + 2981*x**2 + 1435*x**2 + 224*x**3 - 10459*x + 24325*x + 4953*x = 0. What is x?
-20, -8
Let a(d) be the first derivative of d**6/540 - d**5/90 - d**4/108 + d**3/9 + 41*d**2/2 - 23. Let l(g) be the second derivative of a(g). Let l(k) = 0. What is k?
-1, 1, 3
Let b(v) = -6*v**3 + 18*v**2 + 8*v - 19. Let n(s) = -125*s**2 - 56 + 288*s**2 + 24*s - 19*s**3 - 110*s**2. Let t(m) = -8*b(m) + 3*n(m). What is l in t(l) = 0?
-1, 4/3
Let f be (564/(-672) - -3) + -3*(-2)/(-21). Suppose -21/8*q**2 - f*q + 3/4 = 0. What is q?
-1, 2/7
Let d(f) = -172*f + 346. Let z be d(2). Let n(t) be the third derivative of -40/3*t**3 - 1/12*t**5 - 5/3*t**4 + 19*t**z + 0*t + 0. What is h in n(h) = 0?
-4
Factor 5/2*c**2 - 411 - 1367/2*c.
(c - 274)*(5*c + 3)/2
Let q = 689 - 7583/11. Let o = q + 6/11. Factor -4/11 + o*b**2 + 2/11*b.
2*(b - 1)*(b + 2)/11
Suppose -1602*l - 234*l = -156*l - 3360. Factor -38/3*c + 0 - 2/3*c**l.
-2*c*(c + 19)/3
Factor 2488*s**3 + 959*s**3 + 3*s**5 - 300*s**4 + 31029*s**2 + 98580*s + 67416 + 15741*s**2 + 3108*s**3.
3*(s - 53)**2*(s + 2)**3
Let b be 0/((51/765)/((-2)/30)). Find i such that -2/7*i**3 + 10/7*i**2 + 12/7*i + b = 0.
-1, 0, 6
Suppose 17*u = 39*u - 242. Let m(i) = 28*i - 303. Let w be m(u). Determine b so that 2/3*b**2 - 1/3*b**3 + 1/3*b**w + 0 + 0*b - 2/3*b**4 = 0.
-1, 0, 1, 2
Let j(a) be the first derivative of 2*a**3/21 - 204*a**2/7 + 14190. Suppose j(q) = 0. Calculate q.
0, 204
Let m = -2255789/5 + 451158. Factor 0*f**2 + m*f**3 + 0 + 0*f - 1/5*f**5 + 0*f**4.
-f**3*(f - 1)*(f + 1)/5
Let l = -19 + 22. Let z be 0 - l*(-15)/9. Factor -4*j**4 + 15 - 6*j**5 + 2*j**z - 15.
-4*j**4*(j + 1)
Suppose 2*n = -0*n. Suppose -2*y + 4 = -n. Factor 9 - k**3 - 15*k + 2*k**3 + 7*k**y + 4*k**3 - 6*k**3.
-(k - 3)**2*(k - 1)
Let n(g) = 11*g**2 - 6208*g + 1934418. Let k(x) = 25*x**2 - 12410*x + 3868835. Let f(b) = -2*k(b) + 5*n(b). Determine t, given that f(t) = 0.
622
Let t(w) be the first derivative of w**6/18 - 4*w**5/15 - w**4/6 + 8*w**3/9 + w**2/6 - 4*w/3 - 135. Determine i, given that t(i) = 0.
-1, 1, 4
Let s be (-1)/4 + (-41382)/(-8712). Let -9 + s*o - 1/2*o**2 = 0. What is o?
3, 6
Let t(a) = -5*a**2 + 154*a + 34. Suppose 11*g - 24*g + 403 = 0. Let j be t(g). Find m such that 6/5*m**j + 0 + 18/5*m + 24/5*m**2 = 0.
-3, -1, 0
Suppose 17*d - 32*d + 18*d = 0. Suppose -5*x = -2*v, x + 