 3*x + r = -2538 - 1617, -2*x + 2*r - 2778 = 0. Let u = x + 1391. Solve 7/9*j**3 - 1/9*j**u - 2/9*j**4 + 0 - 4/9*j**2 + 0*j = 0.
-4, 0, 1
Let b be 7/63*-15*11/((-220)/450). Factor -b*z**3 + 6 - 36*z + 135/2*z**2.
-3*(z - 1)*(5*z - 2)**2/2
Let k(b) = 2 - 3*b + 0*b**2 + b + 4*b + b**2. Let f(h) = h + 5 + 1895*h**2 + 4*h + 0 - 1892*h**2. Let u(m) = 2*f(m) - 5*k(m). Let u(s) = 0. What is s?
0
Let j(w) be the second derivative of w**7/84 - 13*w**6/60 - 51*w**5/4 - 2225*w**4/12 - 15875*w**3/12 - 20625*w**2/4 + 1810*w - 2. Factor j(x).
(x - 33)*(x + 5)**4/2
Let x(k) = 73*k**2 - 146*k + 4. Let w be x(2). Solve 2/5*l**5 + 0 + 2/5*l**w - 6/5*l**3 - 2/5*l**2 + 4/5*l = 0 for l.
-2, -1, 0, 1
Let w be -503*(-14)/(-20) - 164/410. Let r = 357 + w. Factor -3/2*i**4 - 3/2*i + 0 - r*i**2 - 9/2*i**3.
-3*i*(i + 1)**3/2
Let j(f) be the first derivative of -8*f**2 - 17*f - 35 + 1/3*f**3. Factor j(z).
(z - 17)*(z + 1)
Let q = 164 - 160. Factor 52 - 60 - q*g - g**3 - 7*g**2 - 10*g.
-(g + 1)*(g + 2)*(g + 4)
Suppose 3*k - 144 - 9 = -48*k. Determine q, given that -690/11*q**2 + 0 + 1224/11*q**k - 648/11*q**4 + 100/11*q = 0.
0, 2/9, 5/6
Let h = -11 + 14. Let z(x) = -40*x + 162. Let s be z(4). Factor -4*w**h - w**3 + 9*w**3 - w**3 - 24*w**s.
3*w**2*(w - 8)
Let l be (8/(-12)*9)/((-6)/4). Factor 12*n**l + 24*n**2 + 24*n**2 - 16*n - 16*n**5 - 4*n**3 - 60*n**4.
-4*n*(n + 2)**2*(2*n - 1)**2
What is p in -1809/5*p**4 + 89826/5*p**2 + 120384/5*p - 12/5*p**5 - 34656/5 - 67011/5*p**3 = 0?
-76, -1, 1/4, 2
Let b(w) be the first derivative of 7*w**5/4 - 145*w**4/8 + 325*w**3/12 - 35*w**2/4 - 11597. Solve b(p) = 0 for p.
0, 2/7, 1, 7
Let w be -12 - 340/(-20) - (6 - (1 - -2)). Let d(h) be the first derivative of 1/3*h**3 + 4/5*h - 1/20*h**4 - 4/5*h**w + 10. Factor d(o).
-(o - 2)**2*(o - 1)/5
Let y(l) be the second derivative of -1/12*l**3 + 5/12*l**4 - 1/15*l**6 + 1/84*l**7 + 0*l**5 + 0 - 3/2*l**2 + 61*l. Suppose y(s) = 0. Calculate s.
-1, 1, 2, 3
Let m = -257244/37 + 6952. Let u = -43/148 - m. Factor 0 + 1/2*d**2 + u*d**3 + 1/4*d.
d*(d + 1)**2/4
Let y(q) be the second derivative of q**7/2520 - q**5/30 - q**4/3 + 30*q. Let m(i) be the third derivative of y(i). Factor m(t).
(t - 2)*(t + 2)
Let z(b) be the second derivative of 1/75*b**6 + 3/50*b**5 + 6/5*b**2 - 7/15*b**3 + 1 - b - 1/10*b**4. Solve z(p) = 0.
-3, -2, 1
Let o(j) be the first derivative of 117 + 0*j + 5/8*j**4 - 1/2*j**5 + 0*j**2 + 0*j**3. Factor o(q).
-5*q**3*(q - 1)/2
Let j = 6 + -5. Let v be -2 + j/(-2)*-26. Let -63 + 0*y - 3*y**2 - v*y - 19*y - 12 = 0. What is y?
-5
Let g(s) = -48*s**2 - 4344*s - 786264. Let o(w) = 27*w**2 + 2172*w + 393132. Let c(v) = 4*g(v) + 7*o(v). Factor c(x).
-3*(x + 362)**2
Let z(i) be the third derivative of -5*i**6/12 + 361*i**5/12 - 965*i**4/12 + 175*i**3/6 - 109*i**2 - 13. Factor z(o).
-5*(o - 35)*(o - 1)*(10*o - 1)
Let q = -36/409 + 1816/2045. Let 1/5*d**4 + 0 + 0*d + q*d**3 - 1/5*d**5 - 4/5*d**2 = 0. What is d?
-2, 0, 1, 2
Let c(y) be the first derivative of -y**6/1440 - 7*y**5/60 - 49*y**4/6 - 3*y**3 + 2*y**2 - 181. Let n(j) be the third derivative of c(j). Solve n(s) = 0 for s.
-28
Let a(y) be the third derivative of 0*y**4 + 0*y**6 + 1/300*y**5 + 1/840*y**8 + 0*y**3 + 0*y - 21 - 2*y**2 - 1/350*y**7. Solve a(k) = 0.
-1/2, 0, 1
Let v(o) be the second derivative of -o**5/20 + 11*o**4/12 - 19*o**3/6 + 46*o**2 - 58*o + 3. Let w be v(10). Suppose 6*r - 3/4*r**w + 27/4 = 0. Calculate r.
-1, 9
Factor 12 + 1/2*l**2 - 13*l + 1/2*l**3.
(l - 4)*(l - 1)*(l + 6)/2
Let h = -5045 + 5050. Let f(b) be the first derivative of 15 - 1/21*b**6 + 3/14*b**4 - 2/35*b**h - 2/7*b**2 + 2/21*b**3 + 0*b. Find i such that f(i) = 0.
-2, -1, 0, 1
Factor 6*j**2 - 19667 - 9*j**3 + 19667 - 22*j**4 - 10*j**5 - 11*j**5 - 14*j**4.
-3*j**2*(j + 1)**2*(7*j - 2)
Let i(a) be the second derivative of -1/30*a**5 + 0*a**2 + 0*a**4 + 0*a**3 + 2/45*a**6 + 0 - 17*a. Factor i(t).
2*t**3*(2*t - 1)/3
Let s be 119/(106029/(-54)) - 100/(-198). Factor -20/9*q**2 - s*q**3 - 8/3*q + 0.
-4*q*(q + 2)*(q + 3)/9
Let x(w) be the first derivative of w**4/4 + 26*w**3/3 + 111*w**2/2 + 126*w - 315. Determine f, given that x(f) = 0.
-21, -3, -2
Let n(i) be the first derivative of 1225*i**4/2 + 4970*i**3/3 + 1584*i**2 + 648*i - 7156. Let n(p) = 0. Calculate p.
-1, -18/35
Let a(g) be the third derivative of -2 + 0*g + 0*g**4 + 9/230*g**5 + 1/1380*g**6 - 19*g**2 + 0*g**3. Let a(f) = 0. Calculate f.
-27, 0
Let l = 1085 + -1083. Suppose -2*o = k - l, 6*k + 1 = 3*k + o. Factor 28/3*h**3 - 8/3*h**4 - 16/3*h**2 + 0*h - 4/3*h**5 + k.
-4*h**2*(h - 1)**2*(h + 4)/3
Let s(g) be the first derivative of g**5/20 + 23*g**4/16 + 31*g**3/6 + 5*g**2 + 1719. Factor s(m).
m*(m + 1)*(m + 2)*(m + 20)/4
Suppose 10 = 2*i - 2*t, 4*t = 2*i - 10 - 0. Suppose -i*k - 2*w + 38 = 0, -2*k + 0*w + 16 = w. Factor -8*m**5 + 10 + k*m**4 - 10 - 8*m**2 + 6*m**5.
-2*m**2*(m - 2)**2*(m + 1)
Let -306 - 307*k**2 - 1/2*k**3 - 1225/2*k = 0. Calculate k.
-612, -1
Suppose 107*o = -47 + 6 + 255. Let q = 57/122 - -2/61. Solve 0 + 0*v - q*v**o = 0.
0
Suppose 105/2*s**2 + 0 + 1/4*s**3 - 211/4*s = 0. Calculate s.
-211, 0, 1
Suppose t - 3*n - 227 = -234, 5*t - 16 = -2*n. Let h(o) be the second derivative of -3/2*o**4 + 0 - 1/20*o**5 - 18*o**3 - 108*o**t + 22*o. Factor h(f).
-(f + 6)**3
Let z = -76225 - -686026/9. Factor z*s**3 + 0 + 2/9*s**2 + 1/9*s.
s*(s + 1)**2/9
Let w be (-297)/198*14/(-49). Factor -27/7*j - w*j**2 + 30/7.
-3*(j - 1)*(j + 10)/7
Suppose -7*m + 25*m - 72 = 0. Factor -180*x**3 - 2*x**m - 177*x**3 + 516*x**3 - 108 - 181*x**3 - 162*x - 90*x**2.
-2*(x + 2)*(x + 3)**3
Let -81/4*p**2 + 0 + 3/4*p + 39/2*p**3 = 0. What is p?
0, 1/26, 1
Factor -2376*l**2 + 9719*l + 3*l**3 - 2382 - 3963*l - 10517*l.
3*(l - 794)*(l + 1)**2
Factor -33782 + 10230 + 4140*m - 4*m**3 - 44*m**2 + 7754 - 22002 - 4*m**2.
-4*(m - 15)**2*(m + 42)
Let f(r) be the first derivative of 0*r + 2/33*r**3 + 40 + 2/11*r**2. Let f(t) = 0. What is t?
-2, 0
Solve -4/5*n + 96/5 - 2/5*n**4 - 24/5*n**3 - 66/5*n**2 = 0.
-8, -3, -2, 1
Let c(a) be the second derivative of -a**4/18 + 46*a**3/9 + 32*a**2 + 58*a + 11. Factor c(u).
-2*(u - 48)*(u + 2)/3
Let c = -166 + 169. Suppose 5*u - 2*u + c = 0, 7 = x - 2*u. Factor -4/5*j**4 + 0 + 6/5*j**3 - 4/5*j**2 + 1/5*j**x + 1/5*j.
j*(j - 1)**4/5
Suppose -6 - 9 = -5*q. Factor 12 + 2112*x**2 - 2097*x**2 + 12*x + q*x**3 + 12*x.
3*(x + 1)*(x + 2)**2
Let t = 599 + -7187/12. Let v(o) be the first derivative of 11 - t*o**2 + 1/18*o**3 - 1/3*o. Factor v(y).
(y - 2)*(y + 1)/6
Let x(i) be the first derivative of -2/33*i**3 + 0*i + 195 + 2/55*i**5 - 6/11*i**2 + 3/11*i**4. Factor x(t).
2*t*(t - 1)*(t + 1)*(t + 6)/11
Let k(r) be the third derivative of -r**5/150 + 161*r**4/60 + 334*r**3/5 - 337*r**2 + 4. Factor k(t).
-2*(t - 167)*(t + 6)/5
Let v = -17360/3 - -5787. Let i be (-1 - -6)*8/20. Factor -b - 2/3 - v*b**i.
-(b + 1)*(b + 2)/3
Suppose -2*a - 5*c + 14 + 15 = 0, -5*a + 20 = 2*c. Suppose 5 = 4*y - 3*n, y - a*y + 4*n = 2. Factor -1 - 5/2*o + 7/2*o**y.
(o - 1)*(7*o + 2)/2
Let l be (96/80)/((-4)/(-70)). Let s be 27/l + 5 - 6. Factor s - 2/7*x**3 - 2/7*x**2 + 2/7*x.
-2*(x - 1)*(x + 1)**2/7
Let s(f) = -4*f**3 + 16*f**2 - 4*f - 18. Let g(d) = 12*d**3 - 48*d**2 + 12*d + 56. Let c(z) = -3*g(z) - 8*s(z). What is p in c(p) = 0?
-1, 2, 3
Solve 156*u**2 + 174*u**2 - 3*u**3 + 3115 - 8854 - 4499 - 8578 - 8736*u = 0 for u.
-2, 56
Let i be (-34)/85*(-7 + 2). Let -68*a**i + 8 + 351*a**3 + 346*a**3 - 951*a**3 + 12*a + 302*a**3 = 0. What is a?
-1/4, 2/3, 1
Let b be 2421/(-405) + 1/((-1)/(-6)). Let y(r) be the second derivative of -b*r**4 + 0*r**2 + 0*r**3 - 39*r + 0 + 1/150*r**5. Determine i so that y(i) = 0.
0, 2
Let d(s) be the first derivative of -s**6/15 + 9*s**5/40 - s**4/4 + s**3/12 + 31*s + 50. Let j(g) be the first derivative of d(g). Factor j(c).
-c*(c - 1)**2*(4*c - 1)/2
Factor -12*l - 28*l + 2*l**3 - 38*l**2 + 10*l**2 + 17*l**2 + 13*l**2.
2*l*(l - 4)*(l + 5)
Let a(o) be the first derivative of o**5/180 - 2*o**4/9 + 32*o**3/9 + 8*o**2 - 3*o + 84. Let g(f) be the second derivative of a(f). Let g(j) = 0. What is j?
8
Let b(w) be the first derivative of -140*w**3 - 8 - 145/4*w**4 + 9*w**5 + 0*w + 50*w**2. Factor b(o).
5*o*(o - 5)*(o + 2)*(9*o - 2)
Let q be (-9 + 135/(-81))*(-4)/352*6. Factor -q*a - 2/11*a**3 + 0 - 10/11*a