3)**2/2
Determine y, given that 190*y**3 - 18*y**3 + 1040 - 3148*y + 28*y**2 + 31518*y**4 - 31530*y**4 = 0.
-4, 1/3, 5, 13
Let b(n) = 7*n**5 - 172*n**4 - 4898*n**3 - 27000*n**2 - 6*n + 2. Let i(p) = -p**5 + p**4 - p**3 + 3*p - 1. Let x(c) = b(c) + 2*i(c). What is z in x(z) = 0?
-10, 0, 54
Solve -2/23*r**3 - 46206/23*r + 606/23*r**2 + 45602/23 = 0 for r.
1, 151
Determine k so that -k**4 - 1/2*k - 1/2*k**5 + 2*k**2 - 1 + k**3 = 0.
-2, -1, 1
Suppose -7*h + 1419 = -40*h. Let k = 47 + h. Find c, given that 9/2*c**3 + 5*c**k - 23/2*c**2 + 2 + 0*c = 0.
-2, -2/5, 1/2, 1
Let q be (-4)/(-14) - 54074/(-665). Let x = -81 + q. Factor -12/5*n - x*n**2 - 9/5.
-3*(n + 1)*(n + 3)/5
Let j(a) be the second derivative of -2/45*a**6 + 0*a**5 - 32/9*a**3 + 4/3*a**4 + 0*a**2 - a + 0. Determine l, given that j(l) = 0.
-4, 0, 2
Factor -1329*p**2 - 1384*p**2 + 2637*p**2 + 27*p + 61*p + 12*p**3 + 96.
4*(p - 4)*(p - 3)*(3*p + 2)
Factor 30/7*z**2 - 843/7*z - 783/7.
3*(z - 29)*(10*z + 9)/7
Suppose 5*u - 41 = -6. Determine a so that 33*a**3 - 3*a**4 - 40*a + u*a + 21 - 15*a**2 - 12*a**2 + 9 = 0.
-1, 1, 10
Determine x, given that 5*x**4 - 117/5*x**3 + 1/5*x**5 - 5*x**2 + 116/5*x + 0 = 0.
-29, -1, 0, 1, 4
Let f = 8733 - 8733. Let r(d) be the third derivative of 0*d**4 - 1/1512*d**8 - 17*d**2 + 0*d + 1/270*d**5 + f - 1/180*d**6 + 1/315*d**7 + 0*d**3. Factor r(o).
-2*o**2*(o - 1)**3/9
Let w(k) be the first derivative of -2*k**5/25 + 31*k**4/2 - 5406*k**3/5 + 148257*k**2/5 - 530604*k/5 - 4797. Factor w(x).
-2*(x - 51)**3*(x - 2)/5
Let 119*h**2 - 33*h**3 + 45*h**3 + 111*h**3 + 55*h**2 - 72*h + 9*h**4 = 0. What is h?
-12, -2, 0, 1/3
Let z be ((-11)/121*0)/(-9). Factor 2/7*c + z + 6/7*c**3 - 6/7*c**2 - 2/7*c**4.
-2*c*(c - 1)**3/7
Suppose 0 = 2*l + 2*q - 50, -7*q - 15 = -2*l - 2*q. Factor 32*u**2 - l*u**4 + 19*u**3 - 18*u + 2*u + 9*u**3.
-4*u*(u - 2)*(u + 1)*(5*u - 2)
Let f = -47 + 91. Solve -f*m + 149*m - 19*m**2 + 14*m**2 = 0.
0, 21
Let v(n) be the second derivative of -174 - 14/5*n**3 - 1/10*n**4 + n - 147/5*n**2. Factor v(j).
-6*(j + 7)**2/5
Let p(o) be the first derivative of 36*o + 4/3*o**3 + 12*o**2 + 282. Solve p(l) = 0.
-3
Let z(n) be the first derivative of 20*n**3/3 - 68*n**2 + 116*n + 39. Find p, given that z(p) = 0.
1, 29/5
Let r = 96 + -43. Let y = -47 + r. Determine b, given that -10*b**2 + y - 5*b**3 - 8 + 2 = 0.
-2, 0
Let o(k) be the second derivative of 25/2*k**2 + 0 + 1/4*k**5 - 75*k - 5/6*k**3 - 25/12*k**4. Let o(y) = 0. What is y?
-1, 1, 5
Factor 2/7*z**3 + 4*z**2 + 48/7*z + 0.
2*z*(z + 2)*(z + 12)/7
Let h = 18130/139 - 195538/1529. Suppose 2/11*t**3 - h*t - 2*t**2 + 48/11 = 0. Calculate t.
-2, 1, 12
Let b = -1054782/551 - -55524/29. Let k = -2 + 5. Factor -b*x**5 + 2/19*x**4 + 0 + 0*x + 0*x**2 + 4/19*x**k.
-2*x**3*(x - 1)*(3*x + 2)/19
Let m(x) be the first derivative of -1/20*x**5 + 1/4*x**4 + 11/12*x**3 + 0*x - 30 + 3/4*x**2. What is s in m(s) = 0?
-1, 0, 6
Suppose 81*m - 531 = -96*m. Let g(n) be the first derivative of 20 + 50/9*n - 10/9*n**2 + 2/27*n**m. Factor g(b).
2*(b - 5)**2/9
Let m(s) be the second derivative of 90*s - 16/7*s**2 + 0 + 8/7*s**3 + 1/35*s**5 - 2/7*s**4. Find k, given that m(k) = 0.
2
Let g(z) be the third derivative of 0*z**3 - 1/8*z**6 + 1/70*z**7 + 33*z + 3*z**2 + 0 + 9/8*z**4 + 3/20*z**5. Suppose g(r) = 0. Calculate r.
-1, 0, 3
Let z(k) = 2*k**3 + 105*k**2 - 160*k + 108. Let d be z(-54). Factor 0 - 2/3*y**5 + 2/3*y**2 + 2/3*y**3 - 2/3*y**4 + d*y.
-2*y**2*(y - 1)*(y + 1)**2/3
Let q(w) be the first derivative of -29*w**3/18 + 19*w**2/4 + w/3 - 52. Factor q(m).
-(m - 2)*(29*m + 1)/6
Let x(q) = 3*q**3 - 14*q**2 - 9*q + 40. Let o be x(8). Let j be 8/(-6)*(-114)/o. Let 0 + 3/4*v + j*v**2 = 0. Calculate v.
-3, 0
Determine v so that -12*v**3 + 0 - 280/3*v**2 + 8*v**4 + 98*v - 2/3*v**5 = 0.
-3, 0, 1, 7
Let i(b) be the first derivative of 15*b**5 - 210*b**4 + 264*b**3 + 528*b**2 + 240*b + 6956. Let i(x) = 0. Calculate x.
-2/5, 2, 10
Let w be -5*(-4 - (-238)/35). Let d be 594/231 + 8/w. Determine b so that 4/5*b**d - 2/5*b**4 + 4/5*b**3 - 2/5 - 2/5*b - 2/5*b**5 = 0.
-1, 1
Let a(c) be the first derivative of c**4/3 - 917*c**3/9 + 229*c**2/6 - 4166. Factor a(q).
q*(q - 229)*(4*q - 1)/3
Let r(q) be the second derivative of q**7/84 - q**6/20 - 9*q**5/8 - 27*q**4/8 + 317*q - 5. Determine l, given that r(l) = 0.
-3, 0, 9
Factor -3/4*v**2 - 93/4*v - 87/2.
-3*(v + 2)*(v + 29)/4
Let f be -1 + ((-45)/(-6))/(5/30). Let u = f - 41. Let 2*n**3 + 2*n**3 - n**u = 0. Calculate n.
0
Let w be (-2)/8 + (3 - 484/(-16)). Factor -9*l + 7*l**3 + w*l**2 + 32*l**3 + 3*l.
3*l*(l + 1)*(13*l - 2)
Suppose -1760 - 11*p**2 + 49*p**2 + 146*p + 726*p - 34*p**2 = 0. What is p?
-220, 2
Let x be -5 + -2 + (-2320)/(-320). Let j(s) = 3*s**2 + s. Let q be j(-1). Factor x*g**q - 1 - 3/4*g.
(g - 4)*(g + 1)/4
Let d(o) be the first derivative of -o**4/5 - 104*o**3/15 - 448*o**2/5 - 512*o - 1687. Determine y, given that d(y) = 0.
-10, -8
Let a(j) = -15*j + 514. Let y be a(34). Let g(t) = t**2 + 2*t - 22. Let h be g(y). Find d such that 12/11*d + 0 + 6/11*d**h = 0.
-2, 0
Let n = -369589/3 + 123197. Find k such that -80*k - n*k**3 - 96 + 46/3*k**2 = 0.
-1, 12
Suppose -h - 1 + 3 = 0, -2*g = -5*h - 8. Factor -g + 4*l**4 - 30 - 40*l + 40*l**3 - 61 + 96*l**2.
4*(l - 1)*(l + 1)*(l + 5)**2
Determine c so that 2/17*c**5 + 8*c**2 + 274/17*c**3 + 0 + 140/17*c**4 + 0*c = 0.
-68, -1, 0
Let h(x) be the first derivative of -15123*x**4/4 + 9656*x**3 + 2529*x**2/2 + 54*x - 6517. Factor h(o).
-3*(o - 2)*(71*o + 3)**2
Let q(p) be the first derivative of -4*p**5/5 + 36*p**4 - 1432*p**3/3 + 1224*p**2 - 1156*p + 322. Let q(f) = 0. What is f?
1, 17
Let u = -28987 - -28990. Let f(y) be the second derivative of -8*y**2 + 8/3*y**u - 1/5*y**5 + 1/3*y**4 + 0 - 11*y. Factor f(c).
-4*(c - 2)*(c - 1)*(c + 2)
Let s(z) be the first derivative of z**6/45 + 29*z**5/60 + 7*z**4/12 + 65*z**3/3 + 69. Let n(f) be the third derivative of s(f). Find r such that n(r) = 0.
-7, -1/4
Let q(y) = -611*y + 12870. Let i be q(21). Let c(h) be the first derivative of -5/3*h**3 + 0*h - i - 15*h**2. Determine a so that c(a) = 0.
-6, 0
Let d(h) = 370*h**2 - 13*h - 2. Let z(y) = -6290*y**2 + 225*y + 35. Let o(v) = -35*d(v) - 2*z(v). Determine b so that o(b) = 0.
0, 1/74
Let i be 8 + 2/1 + -4 + -1. Factor -5*b**4 - 273*b - 5*b**i + 273*b.
-5*b**4*(b + 1)
Let p(j) be the first derivative of -j**5/30 + j**4/4 - 2*j**3/3 + 2*j**2 + 54. Let r(q) be the second derivative of p(q). Factor r(v).
-2*(v - 2)*(v - 1)
Let n(p) = -16*p - 86. Let b be -7 - (3/3 + 0)/(-1). Let f be n(b). Factor -413*t + 15 + 202*t + 246*t + f*t**2.
5*(t + 3)*(2*t + 1)
Let p(v) = -5427075*v**2 - 16138*v + 12. Let z(h) = 16281225*h**2 + 48413*h - 48. Let x(r) = 7*p(r) + 2*z(r). Let x(a) = 0. What is a?
-2/1345
Let l be (4/(-5))/(-5 - (-69)/15). Let p(q) = -q**2 + 2*q - 1. Let j(m) = 12*m**2 - 24*m + 4. Let x(z) = l*j(z) + 20*p(z). What is r in x(r) = 0?
-1, 3
Let u = -6 + 9. Determine k, given that 0*k - 2*k**3 - k**3 + 0*k - u*k**4 = 0.
-1, 0
Factor -m**3 - 831800765 + 8149*m**2 + 12374883*m - 2056*m**2 + 2*m**3 + 9209596556.
(m + 2031)**3
Let x be ((-16)/12)/(-1)*423/94. Let u be 6 - 3 - (-4 + 1). Solve 0 - 3/2*j**3 - u*j - x*j**2 = 0 for j.
-2, 0
Let p = 335817/2 - 167907. Determine v so that 5/3 + 11/6*v**3 - p*v**2 - 11/6*v - 1/6*v**4 = 0.
-1, 1, 10
Let d(i) be the first derivative of i**7/210 - i**6/90 - 26*i**3/3 + 133. Let p(k) be the third derivative of d(k). Factor p(o).
4*o**2*(o - 1)
Let p = -28374/83 - -87529/249. Factor -4/3*d**2 + 115/3*d + p.
-(d - 29)*(4*d + 1)/3
Let g be 8 - (24/21 - 1)/(186/7161). Suppose -4*o + 12*o = 4*o. Suppose 0 - g*v**4 + 5/4*v**5 + 0*v**2 + 0*v**3 + o*v = 0. Calculate v.
0, 2
Determine x so that -213/2*x**2 + 717/2*x - 135/2 + 15/2*x**3 = 0.
1/5, 5, 9
Let c = 133537/42469 - 9/6067. Let -176/7*q + c*q**2 + 50/7*q**3 + 96/7 + 8/7*q**4 = 0. Calculate q.
-4, 3/4, 1
Let z(f) = f**3 + 31*f**2 + 183*f - 20. Let d be z(-23). Factor 5/3 - 1/3*t**4 - 4/3*t**2 - 2*t**d + 2*t.
-(t - 1)*(t + 1)**2*(t + 5)/3
Let o = 1452 + -1454. Let f be 1364/(-248)*o/(-22)*-8. What is b in -12/11*b**3 + 2/11*b**f + 18/11*b**2 + 0*b + 0 = 0?
0, 3
Let u = -7/207 - -605/207. Let y be (-2)/(-6) + 1 + 0/4. Determine a so that 2/9*a**5 + 8/9*a + 8/3*a**2 + y*a**4 +