) be the first derivative of 22 + 0*n - 15/2*n**2 - w*n**4 - 20/3*n**3. Suppose m(r) = 0. What is r?
-3, -1, 0
Let v(r) be the first derivative of r**6/2 - 3*r**5 + 9*r**4/4 + 5*r**3 - 6*r**2 - 14. Solve v(y) = 0.
-1, 0, 1, 4
Let h = 615 - 656. Let f be (-1 - -1)/(h/41). Factor 0*d + 3/2*d**4 + f - 9/4*d**3 + d**2 - 1/4*d**5.
-d**2*(d - 4)*(d - 1)**2/4
Let d(v) be the second derivative of -3*v**5/20 + 26*v**3 + 144*v**2 - 18*v - 140. Factor d(j).
-3*(j - 8)*(j + 2)*(j + 6)
Let b = -174 - -176. Factor -5*y**2 + 0*y**2 - 7*y - 4 + 20*y**2 + b.
(3*y - 2)*(5*y + 1)
Let r(c) be the second derivative of 5*c**4/24 + 515*c**3/4 + 1535*c**2/2 + 13*c - 67. Factor r(n).
5*(n + 2)*(n + 307)/2
Let z(g) be the third derivative of 0*g**3 - 1/945*g**7 + 0 + 0*g**4 + 45*g**2 - 1/540*g**6 + 0*g + 0*g**5. Factor z(k).
-2*k**3*(k + 1)/9
Let t = 40 + 25. Let a = t - 0. Find h such that -5*h**2 + 62*h + a*h - 132*h + 10*h**3 = 0.
-1/2, 0, 1
Factor 313*v**2 - 128 - 312*v**2 + 98*v + 41 - 216.
(v - 3)*(v + 101)
Let c be 4 - ((-2)/3)/((-20)/(-90)). Suppose 5 = -y + c. Find g, given that -3 + 2*g + y + 165*g**2 - 166*g**2 = 0.
1
Let 40/7 + 39/7*i - 1/7*i**2 = 0. Calculate i.
-1, 40
Let s(b) = b**3 - 2*b**2 + 11*b - 73. Let n be s(4). Suppose i - 6*o + o = 18, 3*i = -n*o. Factor 2/3*x**i + 4 + 22/3*x + 4*x**2.
2*(x + 1)*(x + 2)*(x + 3)/3
Let f(i) = 7*i**4 + 36*i**3 + 239*i**2 + 468*i + 288. Let y(p) = -22*p**4 - 108*p**3 - 722*p**2 - 1404*p - 864. Let z(m) = -16*f(m) - 5*y(m). Solve z(o) = 0.
-8, -6, -3, -1
Let o(q) = 10*q**3 - 10*q**2 + 5*q + 5. Let i = -2480 - -2481. Let l(u) be the first derivative of -u**4/4 - u - 1. Let r(v) = i*o(v) + 5*l(v). Factor r(p).
5*p*(p - 1)**2
Let 41/7*m**3 + 0 - 44/7*m**4 + 1/7*m**5 + 86/7*m**2 + 0*m = 0. What is m?
-1, 0, 2, 43
Suppose 5065 = 33*p - 11072. Solve -276*o**3 - 19 - 141 - 624*o - 287*o**2 + 36*o**4 - p*o**2 = 0 for o.
-1, -2/3, 10
Suppose -3*b - 4*c = -6*b + 27, -3*b + 21 = -2*c. Solve -b - 3 + 3*a**3 - 12*a + 37*a**4 - 2*a**2 + 40*a**4 + 36*a**4 - 112*a**4 = 0.
-2, -1, 2
Find r, given that -823*r - 501*r + 232*r**2 + 331*r**2 + 330*r**2 - 897*r**2 = 0.
-331, 0
Let f(k) = -6*k**2 - 2391*k - 833559. Let o(p) = -p**2 - 113*p + 2. Let q(h) = -f(h) + 5*o(h). Find w, given that q(w) = 0.
-913
Factor 2/5*g**2 - 46 + 228/5*g.
2*(g - 1)*(g + 115)/5
Let c = -7015 + 7015. Let j(n) be the second derivative of 1/70*n**5 + c - 27*n + 0*n**2 - 1/105*n**6 - 1/21*n**3 + 1/42*n**4. Solve j(b) = 0.
-1, 0, 1
Let i(d) be the first derivative of -2*d**3/33 + 23*d**2/11 - 120*d/11 + 384. Factor i(m).
-2*(m - 20)*(m - 3)/11
Let c(p) = -71*p**2 + 1. Let k(y) = 640*y**2 - 5*y - 185. Let v(q) = 18*c(q) + 2*k(q). Factor v(d).
2*(d - 16)*(d + 11)
Suppose 3*k**4 + 52*k**3 - 307*k + 47*k + 3*k**3 - 892*k - 168*k**2 - 13*k**3 = 0. Calculate k.
-16, -4, 0, 6
Suppose -59 + 79 = 5*y. Let -1/5*l**y + 0*l + 0*l**3 + 4/5*l**2 + 0 = 0. What is l?
-2, 0, 2
Let h be (10731/441)/(2/(-12)). Let q be h/(-70) - (-12)/(-42). Solve q*s - 6/5 + 0*s**2 - 3/5*s**3 = 0.
-2, 1
Suppose -5*i + 5 = 0, -3*i + 9 = g + 2. Factor y**3 + 4 - y - y**2 - 4*y**2 - 3 + g*y**2.
(y - 1)**2*(y + 1)
Suppose -3831*f + 8*i = -3835*f - 64, 2*f - i = 13. Factor 4*x**f + 0 - 6*x - 2/3*x**3.
-2*x*(x - 3)**2/3
Suppose -22*l = 756 + 30528. Let m = l + 1422. Factor -2/3*t + t**5 + t**3 + m + t**2 - 7/3*t**4.
t*(t - 1)**3*(3*t + 2)/3
Let u(o) be the third derivative of -o**8/112 + 4*o**7/35 - o**6/10 - 29*o**5/10 + 5*o**4/8 + 25*o**3 - 6*o**2 + 82*o. Solve u(v) = 0.
-2, -1, 1, 5
Suppose -3*p = 2*w - 540 + 500, 4*w - 4*p = -40. Let i be (-2 - (-10)/6)*-1. Determine y, given that -i*y**4 - 2/3*y**w + 0*y - y**3 + 0 = 0.
-2, -1, 0
Let l(v) = 8*v**3 + 204*v**2 + 2760*v + 7217. Let a(g) = g**3 + 26*g**2 + 345*g + 902. Let f(o) = 51*a(o) - 6*l(o). Factor f(c).
3*(c + 4)*(c + 15)**2
Let t = 430203/2 + -215100. Factor 3/8*r**4 + 0 + t*r**2 + 15/8*r**3 + 0*r.
3*r**2*(r + 1)*(r + 4)/8
Let l be (13 - (-432)/(-32))*(1 - 5). Let w(u) be the first derivative of 22 - 4*u - 2/3*u**3 + 3*u**l. Suppose w(j) = 0. What is j?
1, 2
Let a(y) = -17*y - 128. Let s be a(-8). Factor -s - 1261*f**2 + 1255*f**2 + 11*f + 2 + f**3.
(f - 3)*(f - 2)*(f - 1)
Let h(d) = -d**3 + 14*d**2 + 15*d + 10. Let v be h(15). Let u be 0 + 3/(15/v). Find k, given that 8/11 - 2/11*k**u + 6/11*k = 0.
-1, 4
Find p, given that -72/7 - 165/7*p**4 - 6*p**2 - 51*p**3 + 276/7*p - 18/7*p**5 = 0.
-6, -2, 1/3, 1/2
Let q(i) be the second derivative of -i**7/91 + 16*i**6/195 + 33*i**5/130 + 7*i**4/39 + 182*i - 1. What is j in q(j) = 0?
-1, -2/3, 0, 7
Let m(j) be the third derivative of -j**7/1575 + 3*j**6/100 - 13*j**5/225 - 500*j**2. Factor m(b).
-2*b**2*(b - 26)*(b - 1)/15
Let f(t) be the first derivative of 2*t**3/3 + 165*t**2 + 3246. Factor f(u).
2*u*(u + 165)
Let s(w) = -w**3 + w**2 + 2. Let d be s(0). Let q(h) be the third derivative of -33*h**d + 0 + 1/12*h**4 - 2/3*h**3 + 0*h + 1/30*h**5. Factor q(t).
2*(t - 1)*(t + 2)
Let i = 613 + -611. Factor z**2 - 5*z**4 - 93*z**3 + 58*z**3 - 25*z**3 + 60*z + 4*z**i.
-5*z*(z - 1)*(z + 1)*(z + 12)
Let f(b) be the second derivative of b**6/165 - 3*b**5/110 - 13*b**4/66 + 5*b**3/11 - 16*b + 13. Factor f(a).
2*a*(a - 5)*(a - 1)*(a + 3)/11
Suppose 0 = 12*m - 6*m - 252. Let m*b - b**4 - 9*b**2 - 4*b**3 + 10*b**3 - 38*b = 0. Calculate b.
0, 1, 4
Let b = 424461 - 423246. Suppose -189*q**4 + 192/5 + 7152/5*q**3 + 1116/5*q**2 - b*q**5 - 288*q = 0. Calculate q.
-4/5, 2/9, 1
Let j(c) be the first derivative of c**7/63 + c**6/30 - c**5/30 - c**4/9 + c**2/6 - 58*c - 21. Let s(i) be the first derivative of j(i). Solve s(w) = 0 for w.
-1, 1/2, 1
Let j be (-1 - (-48)/39)*5252/2020. Factor -87/5*i**2 - j*i**3 - 117*i + 135.
-3*(i - 1)*(i + 15)**2/5
Let k = 34387/90 - 3323/10. Factor -232/9*x - 32/9 - k*x**2 - 98/9*x**3.
-2*(x + 4)*(7*x + 2)**2/9
Let l(o) = 21*o**3 - 38*o**2 + 37*o + 7. Let a(n) = -5*n**3 + 10*n**2 - 9*n - 2. Let m be 14 - 12/(-18)*6. Let s(f) = m*a(f) + 4*l(f). Factor s(z).
-2*(z - 4)*(z - 1)*(3*z + 1)
Let u be (-5 - -2)/6*((-22333)/5083 + 6/(-78)). Factor 2/17*v**2 + u*v + 0.
2*v*(v + 19)/17
Let d = 81 - 55. Suppose -4 = -5*t + d. Find h such that -t*h + 2*h**2 + 1 - 10 + 0*h**2 + 1 = 0.
-1, 4
Let q(l) = -405*l**3 + 4700*l**2 + 23015*l - 27640. Let g(w) = 11*w**3 - 127*w**2 - 622*w + 747. Let i(f) = 110*g(f) + 3*q(f). Factor i(a).
-5*(a - 30)*(a - 1)*(a + 5)
Let g be -1 + (-2 - 83/(-14)) + (-90)/210. Let q(n) be the first derivative of -g*n**3 - 3/2*n**2 + 21/8*n**4 - 22 + 0*n. Let q(i) = 0. What is i?
-2/7, 0, 1
Let j(v) be the second derivative of -28*v - 3 - 1/100*v**5 + 13/60*v**4 - 13/10*v**2 + 1/30*v**3. Factor j(y).
-(y - 13)*(y - 1)*(y + 1)/5
Let d(u) be the third derivative of -u**6/32 - 307*u**5/80 + 47*u**4/8 + 31*u**3/2 + 116*u**2 + 6*u. Find a such that d(a) = 0.
-62, -2/5, 1
Let z be (-8)/6 - (-234)/54. Suppose 4*h = -3*b + 32, -z*b + 4*b + h = 9. Factor -14*o**2 - 36 + 4*o + 6*o**2 + 44 - b*o**3.
-4*(o - 1)*(o + 1)*(o + 2)
Let n(d) = 4*d**3 - d. Let r be n(1). Let c = -225259/3 - -1126319/15. Suppose 8/5*j + 0 + c*j**2 + 2/5*j**r = 0. Calculate j.
-2, 0
Let r(s) be the second derivative of 4*s + 5/3*s**4 + 2/15*s**6 - 4/3*s**3 + 0*s**2 + 0 - 4/5*s**5. Find f such that r(f) = 0.
0, 1, 2
Let z(j) be the first derivative of -j**4/60 + j**3/10 + 2*j**2/5 + 189*j + 238. Let x(n) be the first derivative of z(n). Solve x(l) = 0.
-1, 4
Let y = -27/16 - 7/16. Let i = y - -339/152. Determine b so that i*b**5 + 0*b**2 + 0*b**4 + 2/19*b - 4/19*b**3 + 0 = 0.
-1, 0, 1
Let o(u) be the second derivative of -2*u**2 - 1/18*u**4 + 10*u + 5/9*u**3 + 4. Let o(t) = 0. What is t?
2, 3
Suppose 13 = -2*i + v, 5*i - 6*v + 45 = -v. Let q be (-12)/(-36)*3*i/(-2). Find k such that -6*k**q - 3*k**5 - 34*k + 3*k**4 + 37*k + 3*k**4 = 0.
-1, 0, 1
Suppose -22*q - 175*q + 933 - 342 = 0. Factor 4/5*m**2 + 0 + 0*m + 1/5*m**5 + 9/5*m**q + 6/5*m**4.
m**2*(m + 1)**2*(m + 4)/5
Let q be (-272 - -265)*-6*(-4)/(-84). Find y, given that 1376/3*y**q + 1292/3*y**4 + 488/3*y - 3766/3*y**3 + 32/3 + 578/3*y**5 = 0.
-4, -2/17, 1
Let m be ((-8)/5)/(6/(-15))*-2. Let q be -3 - ((-78)/3)/(m/(-28)). Let -5*v**4 + q*v + 5*v**5 - 19*v**3 - 88*v - 6*v**3 - 15*v**2 = 0. What is v?
-1, 0, 3
Let l(x) be the second derivative of 0*x**2 + 33/80*x**5 + 0 +