= 0. Let v(w) be the first derivative of -1/4*w**4 - 9/2*w**2 + y*w - 5 + 2*w**3. Factor v(t).
-t*(t - 3)**2
Let z = 1913 - 5738/3. Factor -16/3 - z*b**2 - 8/3*b.
-(b + 4)**2/3
Determine p so that -82/13*p**2 - 8/13*p**5 + 122/13*p - 114/13*p**3 + 106/13*p**4 - 24/13 = 0.
-1, 1/4, 1, 12
Let o(b) be the first derivative of 15 + 3/40*b**5 + 3/8*b**4 + 3/4*b**2 + 3/8*b + 3/4*b**3. Let o(d) = 0. Calculate d.
-1
Let f(x) = -x**3 + 13*x**2 + x + 14. Let z be f(13). Let d be (-3 - 1)*z/(-36). Factor w - w - 2*w**3 + d*w**2 - w**2.
-2*w**2*(w - 1)
Let f(b) = -13*b**3 - 4*b**2 - 11*b - 15. Let c(t) = 7*t**3 + 2*t**2 + 6*t + 8. Let w(s) = -11*c(s) - 6*f(s). Let o be w(-2). Factor 3*q + 3/5*q**o + 12/5.
3*(q + 1)*(q + 4)/5
Let y be 152/(-228) + 8/12. Factor -2/11*p**2 + y + 10/11*p.
-2*p*(p - 5)/11
Suppose -8*f - 76 + 92 = 0. Factor -3*o**f + 50 - 72 + 34.
-3*(o - 2)*(o + 2)
Let z(x) = -x - 8. Let k be z(-7). Let f be (-170)/(-40) + k/4. Let 8 + 6 - 3*t**2 + f*t**2 - 2*t - 13 = 0. What is t?
1
Let h = 125 - 57. Let r = h - 407/6. Factor 0*q**2 + r*q**3 + 0*q + 0.
q**3/6
Let l(s) be the first derivative of 1/5*s**5 + 0*s**3 + 1/4*s**4 + 0*s**2 + 0*s + 30. What is i in l(i) = 0?
-1, 0
Let a(g) be the second derivative of g**9/10584 - g**7/2940 - 11*g**3/6 - 12*g. Let m(f) be the second derivative of a(f). Find o such that m(o) = 0.
-1, 0, 1
Find j such that 20*j**4 + 4*j**5 - 5*j**2 - 251*j**3 - 24*j + 271*j**3 - 15*j**2 = 0.
-3, -2, -1, 0, 1
Let a(l) be the third derivative of 1/4*l**6 + 5/3*l**3 - 5/4*l**4 + 6*l**2 + 1/21*l**7 + 0 + 0*l + 1/24*l**5. What is q in a(q) = 0?
-2, 1/2
Suppose 23*w + 22 + 14 = 36. Solve -3*u + w*u**2 + 3/7*u**3 + 18/7 = 0 for u.
-3, 1, 2
Let g be -3*7/(231/(-22)). Let h(z) be the third derivative of 0*z**3 - 1/270*z**5 + 0 + 0*z + 1/27*z**4 + g*z**2. Factor h(y).
-2*y*(y - 4)/9
Let s be 16 + -7*57/(-266). Factor -5/2*z**3 - 25/2*z**2 - 15/2 - s*z.
-5*(z + 1)**2*(z + 3)/2
Suppose -31*q + 36*q = 15. Solve 0 + 0*t**2 - 2/7*t**5 + 0*t**q - 2/7*t**4 + 0*t = 0.
-1, 0
Let m = -86 + 90. Let i = 9 - 6. Solve -1/6*d**2 + 1/6*d**m + 0 - 1/6*d + 1/6*d**i = 0 for d.
-1, 0, 1
Let a(q) be the first derivative of -q**5/150 + 7*q**3/45 - 2*q**2/5 - 29*q - 21. Let h(o) be the first derivative of a(o). Determine l so that h(l) = 0.
-3, 1, 2
Solve 1369/7 - 4/7*v**3 - 5402/7*v - 295/7*v**2 = 0.
-37, 1/4
Solve 2/17*g + 2/17*g**2 - 24/17 = 0 for g.
-4, 3
Suppose 2*o + 2*f - 13 = 3, 5*o = 3*f. What is u in u**2 - 2 - 2*u + 0*u**2 - o*u + 6*u = 0?
-2, 1
Let y(a) = 22*a**2 - 30*a + 6. Let l(b) = 2*b**3 - b**2 - 2*b - 1. Let j be l(-1). Let c(u) = -u**2 - 1. Let x(f) = j*y(f) - 28*c(f). What is w in x(w) = 0?
-1/4, 4
Let q be (6/(-30)*4 - -3) + -2. Let u(d) be the first derivative of 0*d**2 + 0*d + 0*d**3 + 1/4*d**4 + q*d**5 - 10. What is t in u(t) = 0?
-1, 0
Let b(x) be the first derivative of 4*x**6/3 - 14*x**5 + 60*x**4 - 400*x**3/3 + 160*x**2 - 96*x - 301. Factor b(j).
2*(j - 2)**4*(4*j - 3)
Let m(p) be the third derivative of -5*p**8/336 - 11*p**7/210 - p**6/60 + p**5/6 + 7*p**4/24 + p**3/6 + 322*p**2. Solve m(w) = 0.
-1, -1/5, 1
Let b(n) = 2*n + 6. Let d be b(-1). Let y(g) be the first derivative of 0*g**d + 0*g + 2/65*g**5 + 4 - 2/39*g**3 + 0*g**2. Find v, given that y(v) = 0.
-1, 0, 1
Suppose 0 = -7*f + 17 + 4. Factor -139*v**2 + 101*v - 91*v**2 + 5*v**5 + 150*v**f - 45 - 45*v**4 + 64*v.
5*(v - 3)**2*(v - 1)**3
Let x = 45 - 31. Determine j so that -j + 6*j**3 - 17*j - 36 - 2*j**4 + 11*j + x*j**2 - 23*j = 0.
-2, -1, 3
Let a(c) be the second derivative of -c**4/42 + 8*c**3/7 - 144*c**2/7 + 37*c. Find f such that a(f) = 0.
12
Let t(c) be the second derivative of c**5/5 + 17*c**4/6 - 71*c**3/24 + 9*c**2/8 - 4*c + 9. Factor t(w).
(w + 9)*(4*w - 1)**2/4
Let l(f) be the third derivative of -f**5/150 + f**4/30 + f**3/5 + 214*f**2 + f. Factor l(r).
-2*(r - 3)*(r + 1)/5
Let q be -1*((-17)/(-19) - (38 + -37)). Suppose 0*j**2 + 2/19*j**3 - q*j + 0 = 0. What is j?
-1, 0, 1
Let z = 48/155 - -369/310. Suppose k + 20 = -4*w, 0 = 4*k + 4*w + 9 + 11. Let -3*l**4 + z*l**5 + k - 3/2*l + 3*l**2 + 0*l**3 = 0. What is l?
-1, 0, 1
Let y(c) = -5*c**2 + 350*c + 2. Let x be y(70). Determine j, given that j**x - 1/3*j**3 - j + 1/3 = 0.
1
Suppose 2*v - 305 = -5*d, 3*v + 8 = -7. Let z be (d/12)/((-6)/(-16)). Factor -q**2 + q + 11 - z + 3.
-q*(q - 1)
Let d(h) be the first derivative of -18 + 0*h**2 + 2*h - 2/3*h**3. Factor d(x).
-2*(x - 1)*(x + 1)
Let u(n) be the first derivative of -2*n**3/9 - 19*n**2/3 - 12*n - 1. Let u(h) = 0. What is h?
-18, -1
Let o(y) be the third derivative of -y**7/1260 - y**6/30 - 3*y**5/5 + 13*y**4/12 - 15*y**2. Let b(d) be the second derivative of o(d). Solve b(l) = 0.
-6
Let g be (7 + 6 - 10) + ((-2)/1)/2. Find a, given that 3/5*a + 0 + 2/5*a**g - 1/5*a**3 = 0.
-1, 0, 3
Let n(v) be the second derivative of 32*v**2 + 17/12*v**4 + 40/3*v**3 + 28*v + 1/20*v**5 + 0. Factor n(f).
(f + 1)*(f + 8)**2
Suppose 13*a = 4*a + 2862. Let j = -1581/5 + a. Determine l, given that -21/5*l**3 + 0*l + j*l**4 + 6/5*l**2 + 0 = 0.
0, 1/3, 2
Let y be (-11)/(-66) + (20/(-8) - -4). Let f(x) be the first derivative of 5/2*x**2 + 5/12*x**4 - 5/3*x - y*x**3 + 9. Factor f(v).
5*(v - 1)**3/3
Let l(k) = 9*k - 14. Let d be l(6). Factor 10*f**2 + 33*f - 38*f - 15*f**3 + d*f + 10.
-5*(f - 2)*(f + 1)*(3*f + 1)
Solve 4*z**5 + 301*z**2 + 278*z**2 + 60*z**3 - 547*z**2 - 64*z - 32*z**4 = 0 for z.
-1, 0, 1, 4
Let j be (-24)/(-10) + 15/25. Factor -12*k - 3*k**3 + 3*k**3 + 12*k**2 - 3*k**4 + 4*k**j - k**3.
-3*k*(k - 2)*(k - 1)*(k + 2)
Factor -22*k**3 + 18 + 5*k**3 + 0*k**4 - 51*k + 51*k**2 - 4*k**3 + 3*k**4.
3*(k - 3)*(k - 2)*(k - 1)**2
Let -7217*p**2 - 11*p - 344*p**3 - 77*p + 28*p**4 + 7621*p**2 = 0. What is p?
0, 2/7, 1, 11
Let g = 33 - 28. Suppose g*r = 2 + 18. Find i, given that 1/3*i**r + 0*i**2 + 0 + 1/3*i**3 + 0*i = 0.
-1, 0
Let w be ((-10)/(-3))/((-5)/(-15)). Let u = -201 + 204. Let 15*i**u + i**4 - w + 2*i**4 - 13*i + 5*i**2 + 2*i**4 - 2*i = 0. Calculate i.
-2, -1, 1
Suppose 29*q + 84 = 36*q. Let y be (-286)/273 - q/(-9). Factor 0*a + y - 2/7*a**2.
-2*(a - 1)*(a + 1)/7
Factor 6*h**5 + 44*h**2 - 8*h**5 + 0*h**5 + 216 + 10*h**4 + 2*h**3 + 8*h**3 - 134*h**2.
-2*(h - 3)**3*(h + 2)**2
Let a be 0/((4 + 153/(-36))*(-24)/2). Factor 4/3*c**2 + 0*c + a*c**3 - 2/3 - 2/3*c**4.
-2*(c - 1)**2*(c + 1)**2/3
Let b(z) = -2*z**3 - 38*z**2 + 7*z + 135. Let d be b(-19). Factor 0 - 3/4*q**4 + 0*q**d + 3/4*q**3 + 0*q.
-3*q**3*(q - 1)/4
Let k(c) be the first derivative of 2*c**3/9 - 2*c**2/3 + 2*c/3 - 51. Factor k(q).
2*(q - 1)**2/3
Let t(z) be the third derivative of 0 + 17*z**2 + 0*z + 9/4*z**3 + 1/40*z**5 + 3/8*z**4. Factor t(n).
3*(n + 3)**2/2
Suppose -5*j - 3*g + 30 = 0, -33*g - 34 = -3*j - 38*g. Find h such that -5/3*h**4 + 0*h - 5*h**2 + 0 - 20/3*h**j = 0.
-3, -1, 0
Let y be ((-10 - (-180)/6) + 1)*(-1)/(-12). Factor 2*z + 1 - 19/4*z**2 + y*z**3.
(z - 2)*(z - 1)*(7*z + 2)/4
Let f(i) be the second derivative of 36/7*i**2 - 4/7*i**3 + 1/42*i**4 + 0 + 24*i. What is a in f(a) = 0?
6
What is d in -6*d**2 - 115*d - d**3 + 115*d + d**4 = 0?
-2, 0, 3
Let l(j) be the first derivative of 2*j**3/9 + 10*j**2/3 + 50*j/3 - 40. Factor l(b).
2*(b + 5)**2/3
Let i = -27 + 39. Let o be (-38)/(-10) - i/15. What is w in 15*w**3 - w**4 - w**2 - 10*w**o - 3*w**3 = 0?
0, 1
Factor -57/4*r**2 + 3/8*r**4 + 0 + 0*r - 51/8*r**3.
3*r**2*(r - 19)*(r + 2)/8
Let b(i) = i**3 - i - 1. Let q(x) be the first derivative of 100*x**3/3 - 338*x**2 + 572*x - 47. Let s(m) = -4*b(m) + q(m). Find t, given that s(t) = 0.
1, 12
Let t(w) = -34*w - 201. Let k be t(-6). Let -12/7*h**2 - 3/7*h**k - 6/7 - 15/7*h = 0. Calculate h.
-2, -1
Let k(z) be the third derivative of -z**5/180 + 7*z**4/36 - 4*z**3/3 - 8*z**2 + 12. Factor k(r).
-(r - 12)*(r - 2)/3
Let b = -14 - -16. Suppose -3*d - b*d = -10. Solve -a**2 + 2*a**3 - 2*a**3 - 3*a**d + 4*a**3 = 0.
0, 1
Suppose 88 - 24 = 16*z. Find m such that 18*m**5 + 7*m**2 - 47*m**2 + 74*m**3 + 75*m - 60*m**z - 67*m = 0.
0, 2/3, 1
Let 8/19*s**4 - 8/19 - 40/19*s + 10/19*s**3 - 30/19*s**2 = 0. Calculate s.
-2, -1, -1/4, 2
Let g be ((-756)/(-120))/21*4/3. Factor -1/5*i**2 - g*i + 0.
-i*(i + 2)/5
Let x be ((-2)/5)/((-6)/(-1860)). Let f = -124 - x. Solve -2/3*b - 2/3*b**3 + f + 4/3*b**2 = 0.
0, 1
Let h = -26380