is q in n(q) = 0?
1
Let m(r) = -170*r**2 - 7*r - 4502. Let w(t) = 62*t**2 + 2*t + 1500. Let c(f) = -4*m(f) - 11*w(f). Factor c(l).
-2*(l - 29)*(l + 26)
Let p be ((-54)/(34398/(-8183)) - 13/1) + 164/52. Solve 16/3 + 20/3*v**2 + 32/3*v + 4/3*v**p = 0.
-2, -1
Let s be 9/(-24) - 1188/(-96). Let x(h) = 29*h**3 + 150*h**2 - 122*h - 47. Let j(f) = 72*f**3 + 375*f**2 - 306*f - 117. Let t(v) = s*x(v) - 5*j(v). Factor t(q).
-3*(q - 1)*(q + 7)*(4*q + 1)
Let p be ((-48)/(-15))/((-4)/10). Let m be (-108035)/(-124) + 2/(p/(-3)). What is x in 0*x**3 + 2*x - m*x**2 + 868*x**2 + 2*x**3 = 0?
0, 1
Suppose 5*u - 154 = -4*q + 165, q = -3*u + 85. Determine p so that 22*p**2 + 51*p + 100*p**3 - 97*p**3 - q*p**2 = 0.
0, 1, 17
Determine v so that 420 - 19*v - 78*v - v - 89*v - 5*v**2 - 13*v = 0.
-42, 2
Let n = -611 + 912. Factor 96*h**3 + 563*h**2 + 304*h**4 + 867 - n*h**4 - 1632*h + 103*h**2.
3*(h - 1)**2*(h + 17)**2
Let o(b) be the second derivative of b**5/10 - 1201*b**4/6 - 2405*b**3/3 - 1203*b**2 + 306*b. Suppose o(z) = 0. What is z?
-1, 1203
Let j(l) be the third derivative of -1/48*l**5 - 1/160*l**6 - 1/48*l**4 + 110*l**2 + 0*l**3 + 0 + 0*l. Factor j(c).
-c*(c + 1)*(3*c + 2)/4
Suppose 2409*q = 2406*q + 6, -y = -2*q - 6. Let k(v) be the third derivative of y*v**2 + 7/150*v**5 + 0 - 4/5*v**3 - 2/15*v**4 - 2*v. Factor k(l).
2*(l - 2)*(7*l + 6)/5
Let o(z) = -z**4 - 62*z**3 - 113*z**2 + 416*z - 255. Let b(v) = 3. Let j(n) = -15*b(n) - 3*o(n). Solve j(t) = 0 for t.
-60, -4, 1
Suppose -15 = -g - 2*b, -4*g - b + 95 = -0*b. Factor 17*c**2 + 8*c**2 + 19*c - g - 22*c**3 - 14*c + 17*c**3.
-5*(c - 5)*(c - 1)*(c + 1)
Let o(y) = y**2 - 15*y + 187. Let w be o(15). Suppose w*d + 20 = 192*d. Let -m**3 + 1/2*m**5 + 0 + 0*m**2 - 1/2*m**d + 0*m = 0. Calculate m.
-1, 0, 2
Let b = 3229/876 + 14/219. Let y = 2/1017 - -27451/4068. Let b*r**3 + 21/4*r + 3/2 + 3/4*r**4 + y*r**2 = 0. Calculate r.
-2, -1
Let c(h) = -h**3 + 2. Let a(x) = 9*x**4 + 66*x**3 + 81*x**2 + 21*x - 48. Let j be ((-81)/9)/((-18)/30). Let y(r) = j*c(r) + a(r). Solve y(g) = 0 for g.
-3, -2, -1, 1/3
Let u(p) be the second derivative of 13/16*p**4 - 8 + 0*p**3 + 0*p**2 + p - 3/80*p**5. Find l, given that u(l) = 0.
0, 13
Solve 305*v - 247/4*v**3 + 325 - 1/4*v**5 - 293/4*v**2 - 35/4*v**4 = 0.
-26, -5, -1, 2
Let h = 338 + -303. Let x be (-1)/(-3)*(h + -35). Factor -3/2*s**3 - 6*s**2 + x + 15/2*s.
-3*s*(s - 1)*(s + 5)/2
Let n = 1281/368 + -14063/5520. Factor 0 - 4/15*d - n*d**2.
-2*d*(7*d + 2)/15
Let d(u) be the second derivative of 3*u**5/40 - 19*u**4/8 + 9*u**3/2 + 307*u. Factor d(i).
3*i*(i - 18)*(i - 1)/2
Let u(f) = -132*f**2 + 40002*f - 33386673. Let t(g) = -97*g**2 + 30002*g - 25040005. Let h(k) = 15*t(k) - 11*u(k). Factor h(c).
-3*(c - 1668)**2
Let t = 95197 - 856765/9. Factor t*r**3 - 10/9*r + 4/9*r**2 - 8/9*r**4 + 2/9*r**5 + 4/9.
2*(r - 2)*(r - 1)**3*(r + 1)/9
Suppose -763 = -753*m + 743. Determine r, given that m - 13/2*r + 5/4*r**2 + 3/4*r**3 = 0.
-4, 1/3, 2
Suppose 189*f - 984 = -57*f. Let n(x) be the first derivative of 4/5*x**2 + 2/5*x + 1/5*x**f + 2/3*x**3 - 41. Factor n(c).
2*(c + 1)**2*(2*c + 1)/5
Let c be 225/90*(-8)/(-10). Let j be -4 + (-128)/(-13) + -4. Factor 72/13 + 2/13*i**c + j*i.
2*(i + 6)**2/13
Find m such that 1/3*m**5 - 6*m + 1/3*m**3 + 0 + 7*m**2 - 5/3*m**4 = 0.
-2, 0, 1, 3
Factor -7/10*k**4 + 0 + 11/10*k**3 + 0*k + 1/10*k**5 - 1/2*k**2.
k**2*(k - 5)*(k - 1)**2/10
Let l(d) be the first derivative of 4*d**6/135 + d**5/6 + 35*d**4/108 + 5*d**3/18 + d**2/9 - 76*d + 6. Let y(r) be the first derivative of l(r). Solve y(m) = 0.
-2, -1, -1/2, -1/4
Let o(i) be the third derivative of -i**6/30 - 8*i**5/5 - 63*i**4/2 - 324*i**3 + 7*i**2 - i - 43. Factor o(d).
-4*(d + 6)*(d + 9)**2
Let b(v) be the first derivative of -v**8/560 - 3*v**7/20 - 49*v**6/10 - 343*v**5/5 + 3*v**3 + 3*v + 145. Let a(j) be the third derivative of b(j). Factor a(d).
-3*d*(d + 14)**3
Suppose 9*l = -0*l + 9. Let p be (4/(-3))/(l/(-9)*3). Find r such that 0*r**5 + 9*r**p - 23*r - 3*r**5 - 6*r**3 + 23*r = 0.
0, 1, 2
Let b(f) = -6*f**3 + 101*f**2 + 1028*f + 1569. Let u(i) = i**3 + 15*i**2 - 2*i - 3. Let r(p) = 3*b(p) + 12*u(p). Find h such that r(h) = 0.
-3, 173/2
Let m(u) be the third derivative of u**8/1344 + u**7/420 - u**6/40 - u**5/30 + u**4/3 - 8906*u**2 - 2. Suppose m(o) = 0. What is o?
-4, -2, 0, 2
Let y be (429 + -419)/(1/(-1) + 2) + 328/(-36). Let -2/9*n**5 + 0 + 8/9*n - 8/9*n**2 + y*n**4 - 2/3*n**3 = 0. What is n?
-1, 0, 1, 2
Let w be (-9 - -13) + (-4)/(5/5). Let z(x) be the first derivative of -1/15*x**6 + 2/25*x**5 - 9 + w*x + 1/10*x**4 + 0*x**2 - 2/15*x**3. Factor z(l).
-2*l**2*(l - 1)**2*(l + 1)/5
Let n = 31/159 - 4181/22260. Let y(a) be the second derivative of 0*a**4 + 0 - 1/14*a**3 - 1/7*a**2 + 20*a + n*a**5. Factor y(d).
(d - 2)*(d + 1)**2/7
Let b(i) = i**3 + 8*i**2 - 6*i + 30. Let j be b(-9). Factor -7*s**2 - 20*s - 7*s**3 - 11*s**2 + 18*s**3 - 9*s**j.
2*s*(s - 10)*(s + 1)
Let a(f) be the third derivative of -5/24*f**4 + 0 + 0*f + 1/336*f**8 - 59*f**2 + 1/30*f**6 - 1/3*f**3 - 1/30*f**5 + 2/105*f**7. Factor a(g).
(g - 1)*(g + 1)**3*(g + 2)
Let h be ((-72)/225*-15)/(1/(-20)). Let w be h/(-56) - (-14)/49. Suppose 2*j - 2 - 1/2*j**w = 0. Calculate j.
2
Suppose z = -2*b - 32, -33 = z + 5*b + 11. Let m = z + 27. Determine r, given that 6/7 - 8/7*r**2 - 4/7*r + 2/7*r**4 + 4/7*r**m = 0.
-3, -1, 1
Let i be ((-1632)/132 + 12)/((-5)/((-220)/(-72))). What is u in -22/9*u - 10/9 - 14/9*u**2 - i*u**3 = 0?
-5, -1
Let c(b) be the first derivative of 63 + 3/8*b**2 + 0*b - 1/4*b**3. Suppose c(p) = 0. What is p?
0, 1
Let y be -3 - 296/(-24) - 4/(-6). Let t be 4 + y/190*-26. Let -20/19*w**3 + 0*w + 0 - 2/19*w**4 - t*w**2 = 0. What is w?
-5, 0
Solve 302*q - 11200*q**2 + 5547*q**2 + 5551*q**2 + 12 = 0.
-2/51, 3
Let h(b) be the second derivative of b**5/80 - 21*b**4/16 - 11*b**3/4 + 16*b**2 - 2*b + 1170. What is a in h(a) = 0?
-2, 1, 64
Solve 18 - 195/7*y + 9/7*y**2 = 0 for y.
2/3, 21
Determine f, given that -900/7 - 1346/7*f - 444/7*f**2 + 2/7*f**3 = 0.
-2, -1, 225
Let a(m) = -m + 17. Let p be a(8). Suppose -p*z + 19 = 1. Suppose -9*u**2 - 45*u - 6*u**z + 20*u + 10 = 0. Calculate u.
-2, 1/3
Factor 136/5*n + 3 - 47/5*n**2.
-(n - 3)*(47*n + 5)/5
Let d = 41677/31260 - -1/10420. Factor 8/3*x + 2/9*x**4 + d*x**3 + 8/9 + 26/9*x**2.
2*(x + 1)**2*(x + 2)**2/9
Let u be 2 + (-12)/6 + (2 - -1). Suppose -19 = -u*p - 1. Suppose -h**3 + p*h**5 - h + h - 2*h**4 - 7*h**5 = 0. What is h?
-1, 0
Let c(v) be the third derivative of -v**6/420 + 17*v**5/42 - 41*v**4/14 + 5*v**2 + 6*v + 2. Determine a so that c(a) = 0.
0, 3, 82
Let g be ((-2)/(-4))/((-12)/(-72)). Determine s so that 3*s**2 - 6 - 8*s**3 + 2 + 13*s**g - 6*s**3 = 0.
-1, 2
Let f(h) = -192*h**3 + 2713*h**2 + 2731*h - 5407. Let s(x) = 37*x**3 - 543*x**2 - 546*x + 1082. Let v(q) = -6*f(q) - 31*s(q). Factor v(t).
5*(t - 1)*(t + 2)*(t + 110)
Let x = 15428288/105 - 146943. Let s = x + 37/5. Solve -2/21*n**3 + 0 - s*n**2 + 0*n = 0 for n.
-5, 0
Let j(s) be the first derivative of 2*s**5/15 - 27*s**4 + 320*s**3/9 + 54*s**2 - 322*s/3 + 487. What is m in j(m) = 0?
-1, 1, 161
What is l in 285/4*l + 21 + 51/2*l**2 + 9/4*l**3 = 0?
-7, -4, -1/3
Let s(v) be the third derivative of v**5/90 + 5*v**4/12 - 16*v**3/9 - 587*v**2 - 1. Let s(r) = 0. Calculate r.
-16, 1
Let h(f) be the second derivative of -f**4/4 - 1317*f**3/2 + 1977*f**2 - 5033*f. Factor h(a).
-3*(a - 1)*(a + 1318)
Let a be 3*(286/2 - 2)*-5. Let f = a + 6349/3. Factor -16/3 - f*d**2 - 16/3*d.
-4*(d + 2)**2/3
Let q(i) = -8*i**3 + 344*i**2 - 1861*i + 1560. Let b(r) = 35*r**3 - 1490*r**2 + 8065*r - 6760. Let x(p) = 7*b(p) + 30*q(p). Factor x(h).
5*(h - 13)*(h - 8)*(h - 1)
Suppose 0 = 1494*q - 1471*q. Factor 40/7*w**2 + 16/7*w**3 + 32/7*w + q + 2/7*w**4.
2*w*(w + 2)**2*(w + 4)/7
Suppose 30*w - 6*w - 48 = 0. Let g(y) be the second derivative of 6*y + 1/21*y**4 - 6/7*y**w + 0 + 4/21*y**3. Factor g(f).
4*(f - 1)*(f + 3)/7
Let n(x) be the second derivative of 15/2*x**2 + 0 - 1/8*x**4 - 9/4*x**3 - 202*x. Factor n(u).
-3*(u - 1)*(u + 10)/2
Let a(f) be the third derivative of f**7/105 + f**6/10 - 115*f**5/6 + 94*f**4 - 560*f**3/3 + f**2 + 3*f + 2. Let a(j) = 0. What is j?
-28, 1, 20
Let v(j) = j**4 + j**2 + j - 3. Let q(y) = 7*y**4 - 2276*y**3 - 1942558*y**2 - 