- 3831. Let a(j) = 0. What is j?
0, 86
Let c be (-24)/(-15)*(-210)/(-112). Let r be (3/13)/((-3)/(-8)). Factor -16/13*d - r - 2/13*d**c - 10/13*d**2.
-2*(d + 1)*(d + 2)**2/13
Let w be 0/(-11) + 5 + -1 + -4. Suppose 7*v + 43*v = w. Determine p, given that 0 + 1/3*p**3 + 0*p + v*p**2 = 0.
0
Suppose -5*h + 4*h + 3*b + 92 = 0, 232 = 3*h + 2*b. Let u = h - -420. Let 60*z**2 + 116*z - 10*z**3 + u + 184*z + 14*z**3 = 0. Calculate z.
-5
Let z = -22393/6 - -44855/12. Find r such that -529/8 + z*r - 1/8*r**2 = 0.
23
Let l = -84 + 88. Suppose l*g + 2 = -2. Let b(k) = 7*k**5 + 3*k**4 - 19*k**3 + 3*k. Let t(w) = w**5 + w**4 - w**3 + w. Let r(m) = g*b(m) + 3*t(m). Factor r(n).
-4*n**3*(n - 2)*(n + 2)
Suppose 114*m + 5*g - 10 = 117*m, 0 = -4*g + 20. Let v(h) be the third derivative of 0*h + 7*h**2 + 4/9*h**3 + 0 - 1/45*h**m + 1/18*h**4. Factor v(u).
-4*(u - 2)*(u + 1)/3
Let b(a) be the second derivative of -a**7/189 - 2*a**6/135 + a**5/18 + 5*a**4/27 - 4*a**3/27 - 8*a**2/9 - 676*a. Determine x so that b(x) = 0.
-2, -1, 1, 2
Factor -1/11*v**3 - 42/11*v**2 + 38880/11 + 864/11*v.
-(v - 30)*(v + 36)**2/11
Suppose 0 = 3*b - 14 + 8. Factor 473*m**b - 488*m**2 - 5 + 3*m**3 + 21*m - 4.
3*(m - 3)*(m - 1)**2
Let t = -636155 + 636158. What is p in 1/4*p**5 + 0 + 3/4*p**4 - 7/4*p**2 - 3/4*p**t + 3/2*p = 0?
-3, -2, 0, 1
Let o(y) = 15*y + 110. Let v be o(-9). Let u be v/(-57) - (13 - (-304)/(-24)). Solve -32/19*q + 0 - u*q**3 + 16/19*q**2 = 0.
0, 4
Let w be (-80)/(40/(-5))*12/30. Find h, given that 2/3*h**w - 8 - 4*h**3 + 6*h**2 + 8/3*h = 0.
-1, 2, 3
Factor 2/5*s**2 - 72/5*s + 72.
2*(s - 30)*(s - 6)/5
Let c(i) = -48*i**2 - 7*i + 3. Suppose -469*n + 462*n - 245 = 0. Let g(o) = 186*o**2 - 41 + 389*o**2 + 85*o + 6. Let h(p) = n*c(p) - 3*g(p). Factor h(j).
-5*j*(9*j + 2)
Let z = -9272 - -241073/26. Let b(w) be the first derivative of 0*w - z*w**4 - 16/13*w**2 + 2 + 16/39*w**3. Factor b(c).
-2*c*(c - 4)**2/13
Factor -76 + 62*u + 6*u**2 + 15*u + 22*u + 262 - 3*u**2.
3*(u + 2)*(u + 31)
Let -10*h**3 - 489*h**2 - 57*h + 1130*h**2 - 404*h**2 + 37*h**3 + 3*h = 0. Calculate h.
-9, 0, 2/9
Let o = 202 + -200. Factor 24*m**o - 5*m**4 - 7 + 16*m**2 - 73.
-5*(m - 2)**2*(m + 2)**2
Let h(l) = -l**3 + 50*l**2 - 363*l - 52. Let n be h(9). Factor -8/3*r + 2/3*r**n + 0.
2*r*(r - 4)/3
Let r(f) be the second derivative of f**6/660 + 2*f**5/165 + f**4/44 + 36*f**2 + 13*f. Let q(o) be the first derivative of r(o). Find g, given that q(g) = 0.
-3, -1, 0
Let w(x) be the second derivative of -x**6/195 - x**5/65 + 6*x**4/13 - 88*x**3/39 + 64*x**2/13 - 1768*x. Factor w(i).
-2*(i - 2)**3*(i + 8)/13
Let y(j) = 2*j**3 + 2*j**2 - 10*j - 2. Let z(r) = -1 - 6*r**3 + 11*r**3 - r**2 + 0*r**3 - r - 4*r**3. Let f(l) = -y(l) + 4*z(l). Let f(o) = 0. Calculate o.
1
Let c = -18/11 - -69/22. Let u = 381635 - 763267/2. Factor u*v**2 + 3/2*v**3 - c - 3/2*v.
3*(v - 1)*(v + 1)**2/2
Suppose 7*c = -3*m + 8*c + 1, m - 17 = -3*c. Suppose 332*s**m - 285*s**3 - 2*s**5 + 625*s**2 - 8*s**5 - 125*s**4 - 292*s**2 - 245*s = 0. Calculate s.
-7, 0, 1/2, 1
Suppose -103 - 281 = -557*l + 365*l. Factor 0*t + 4*t**l + 0 + 1/4*t**4 - 2*t**3.
t**2*(t - 4)**2/4
Let n = -948682 + 948687. Determine j, given that -12/13*j**4 + 0 + 0*j**3 + 0*j**2 + 0*j + 2/13*j**n = 0.
0, 6
Let r(y) be the first derivative of 0*y + 68 - 1/2*y**2 - 2/3*y**3 - 1/4*y**4. Factor r(w).
-w*(w + 1)**2
Let n(z) be the first derivative of z**5/4 - 1105*z**4/16 - 5615*z**3/12 - 7895*z**2/8 - 1695*z/2 - 10678. Suppose n(r) = 0. What is r?
-3, -1, 226
Let g(k) be the third derivative of k**5/15 - 31*k**4/8 + 23*k**3/6 + 2*k**2 - 44*k. Factor g(v).
(v - 23)*(4*v - 1)
Let h(u) be the first derivative of 4*u**6/5 + 13*u**5/10 - 23*u**4/6 - 2*u**3/3 - 183*u + 152. Let t(b) be the first derivative of h(b). Factor t(z).
2*z*(z - 1)*(z + 2)*(12*z + 1)
Let y(p) be the third derivative of p**8/672 + 23*p**7/1260 - p**6/72 - 2*p**5/45 - 885*p**2 - 3. Let y(w) = 0. What is w?
-8, -2/3, 0, 1
Let d(n) be the third derivative of 1/100*n**5 + 9/5*n**3 + 19/40*n**4 + 3*n - 30*n**2 + 0. Factor d(z).
3*(z + 1)*(z + 18)/5
Let f(s) = -s**3 + 42*s + 28. Let v(w) = 23*w**3 + 59 - w**2 + 85*w + 22*w**3 - 5 - 47*w**3. Let i(t) = -13*f(t) + 6*v(t). What is n in i(n) = 0?
-2, 10
Suppose -7*r + 37 = -33. Suppose 5 = -r*h + 55. Let -4/5*v**3 + 2/5*v - 4/5*v**2 + 2/5*v**4 + 2/5*v**h + 2/5 = 0. Calculate v.
-1, 1
Let w(q) = 3*q**2 - 2*q + 3. Let l(p) = -7*p + 13. Let k be l(4). Let t(c) = -7*c**2 + 6*c - 7. Let a(f) = k*w(f) - 6*t(f). Let a(u) = 0. Calculate u.
-1
Let p(w) = -9*w**3 - 17*w**2 + 0*w**2 - 10 - 53*w + 21*w**3. Let z(u) = 2*u**3 - 3*u**2 - 9*u - 2. Let v(m) = 6*p(m) - 34*z(m). Factor v(i).
4*(i - 1)**2*(i + 2)
Let q(g) = -125*g**3 + g**2 + 6*g - 5*g + 1 + 127*g**3. Let t(f) = 64*f**2 - 104*f + 44. Let a(h) = 4*q(h) - t(h). Solve a(r) = 0 for r.
1/2, 2, 5
Let y(g) be the third derivative of 1/12*g**5 + 0*g - 10/3*g**3 - 1/24*g**6 + 0 - 32*g**2 + 5/6*g**4. Factor y(b).
-5*(b - 2)*(b - 1)*(b + 2)
Let k(b) be the first derivative of -b**6/12 - 57*b**5/10 + 183*b**4/4 - 373*b**3/3 + 627*b**2/4 - 189*b/2 + 3172. Suppose k(u) = 0. Calculate u.
-63, 1, 3
Find h, given that 4344/7*h**2 + 3/7*h**5 + 528/7*h - 123/7*h**4 + 1056/7*h**3 - 5808/7 = 0.
-2, 1, 22
Suppose -2*l + 4077 = 7*l. Suppose -111 = 3*k - l. Suppose -20*y - 139*y**5 + 15*y**4 + k*y**5 - 40*y**2 + 25*y**4 + 45*y**3 = 0. What is y?
-1, -2/5, 0, 1, 2
Suppose 12*d - 80 = -20. Suppose -5*c - 121 + 8*c - 4*c**3 + 119 + 2*c**2 + c**d = 0. What is c?
-2, -1, 1
Suppose -45 - 47 = -20*a - 26*a. Let u be 2/3 - (-8)/(-48). Factor -2 + a*x + u*x**2 - 1/2*x**3.
-(x - 2)*(x - 1)*(x + 2)/2
Determine v, given that 8/5*v + 8*v**3 + 6/5*v**4 + 52/5*v**2 - 2 = 0.
-5, -1, 1/3
Factor 2/3*z + 0 - 2/9*z**2.
-2*z*(z - 3)/9
Let v(o) be the third derivative of -33*o**7/35 - 47*o**6/8 + 59*o**5/10 + o**4 - 184*o**2 - 26*o + 2. Determine p, given that v(p) = 0.
-4, -2/33, 0, 1/2
Let n = 225 - 207. Factor 3*l**2 - 3*l**4 + 29*l**2 + 12*l**3 - n*l - 35*l**2.
-3*l*(l - 3)*(l - 2)*(l + 1)
Determine d, given that 951 - 679 + 1156 - 256*d - 246*d + 4*d**2 + 270*d = 0.
7, 51
Suppose -24 = -3*i + 3*s, 4*s = -4*i + 44 + 28. Suppose 56 = -i*o + 82. What is v in 6*v**o - 21/2 - 81/2*v = 0?
-1/4, 7
Let y be (-39)/(-156) - (-6 + 351/60). Factor 8/5*h**3 + 8/5*h**2 + 0 + y*h**4 + 0*h.
2*h**2*(h + 2)**2/5
Let m(q) be the first derivative of -q**5/10 - 59*q**4/8 + q**3/6 + 59*q**2/4 + 4684. Solve m(y) = 0 for y.
-59, -1, 0, 1
Let c(v) be the third derivative of v**7/105 - v**6/4 + 2*v**5/3 + 15*v**4 + 48*v**3 - 1443*v**2. Let c(s) = 0. What is s?
-2, -1, 6, 12
What is f in -228*f + 200*f - 5*f**2 - 122*f = 0?
-30, 0
Factor -631/3 + 1/3*z**2 + 210*z.
(z - 1)*(z + 631)/3
Let t(c) be the third derivative of c**8/672 - 3*c**7/56 + 97*c**6/480 + 17*c**5/60 - 13*c**4/8 - 10*c**3/3 - 2051*c**2. Find l, given that t(l) = 0.
-1, -1/2, 2, 20
Let q = 6228 + -155696/25. Let c(r) be the second derivative of -2/75*r**6 + q*r**5 - 2/5*r**4 + 8/15*r**3 + 0 - 2/5*r**2 - 16*r. Factor c(f).
-4*(f - 1)**4/5
Let i(s) be the first derivative of -1/2*s**2 - 3/4*s - 1/12*s**3 + 44. Suppose i(a) = 0. Calculate a.
-3, -1
Let l(h) be the third derivative of 3 - 1/80*h**6 + 0*h + 1/672*h**8 - 9*h**2 + 0*h**3 + 1/12*h**4 - 1/30*h**5 + 1/210*h**7. Determine a so that l(a) = 0.
-2, 0, 1
Let n(c) be the third derivative of c**5/60 - c**4/24 + c**2. Let h(l) = 15*l**2 + 8 + 0*l - 4*l + 13*l**2 - 32*l**2. Let z(q) = -h(q) - 6*n(q). Factor z(f).
-2*(f - 4)*(f - 1)
Let n(o) be the second derivative of -o**4/21 + 136*o**3/21 - 90*o**2 - 1041*o. Factor n(u).
-4*(u - 63)*(u - 5)/7
Determine z so that 2 + 0*z - 1/2*z**2 = 0.
-2, 2
Let w(b) be the third derivative of -2/105*b**5 - 1/84*b**4 - 118*b**2 + 0*b + 0 + 5/21*b**3. Determine g, given that w(g) = 0.
-5/4, 1
Let u(x) be the second derivative of 1/90*x**6 + 167/18*x**4 - 151*x + 1 + 208/3*x**3 + 507/2*x**2 + 8/15*x**5. Factor u(n).
(n + 3)**2*(n + 13)**2/3
Suppose -15908*t**4 - 195*t**2 + 10*t**2 - 50*t**3 + 15913*t**4 - 130*t = 0. What is t?
-2, -1, 0, 13
Let t(h) be the first derivative of h**6/6 - 17*h**5/25 + 21*h**4/20 - 11*h**3/15 + h**2/5 + 1760. Determine y, given that t(y) = 0.
0, 2/5, 1
What is p in -160 - 2/3*p**2 + 244/3*p = 0?
2, 120
Let h(p) = 