o**3 - 40/7*o**4 - 47/210*o**5. Let x(p) = 0. What is p?
-16, 1
Let w(y) be the second derivative of 161*y**5/100 - 53*y**4/20 - y**3/15 + 1546*y. Factor w(l).
l*(l - 1)*(161*l + 2)/5
Suppose 0 = -s + y + 20 + 1, 2*y = 4*s - 92. Suppose 19*l + 18 = s*l. Factor 5*h**5 - 2*h**3 - h**3 + h**5 + 0*h**l + 3*h**4.
3*h**3*(h + 1)*(2*h - 1)
Let w(m) be the first derivative of -8*m**5/5 + 7*m**4 - 20*m**3/3 + 2114. Find u such that w(u) = 0.
0, 1, 5/2
Let m = -19 - -18. Let q(x) = x**2 + 2*x + 3. Let o be q(m). Solve h**2 + 0*h**o - 6*h**2 + 5*h = 0 for h.
0, 1
Let t(i) be the first derivative of -11/9*i**3 + 1/12*i**4 + 0*i - 81 - 2*i**2. Factor t(k).
k*(k - 12)*(k + 1)/3
Let y = 59 + -14. Let z = -41 + y. Factor 0*c - 40 - 29*c + 9*c - 24*c - z*c**2.
-4*(c + 1)*(c + 10)
Suppose -4*h = 5*b + 452, -19*h + 268 = -3*b - 23*h. Let q = -88 - b. Factor 14/15*c - 4/15 + 4/15*c**q + 4/15*c**3 - 16/15*c**2 - 2/15*c**5.
-2*(c - 1)**4*(c + 2)/15
Suppose -5/3*z**2 - 86/3 - 91/3*z = 0. What is z?
-86/5, -1
Let c = 7257/202 - 63697/1818. Suppose 0 - 2/9*o**2 + c*o = 0. What is o?
0, 4
Let l be (-24*(-1529)/1815 + -20)/(11751/(-5880) - -2). Solve -2/11*u**2 - l - 112/11*u = 0.
-28
Determine i so that -31739*i**4 - 308 + 215*i**2 - 122 + 130*i + 70 + 31734*i**4 + 20*i**3 = 0.
-4, -2, 1, 9
Let f(r) be the first derivative of 3*r**5/25 + 3*r**4/2 + 28*r**3/5 + 36*r**2/5 - 1767. Factor f(n).
3*n*(n + 2)**2*(n + 6)/5
Let c = 7/409 + 30661/818. Let u(f) = 2*f**2 - 1147*f - 85807. Let j be u(-67). Factor c*n**2 - 40 - 20*n**3 + j*n + 5/2*n**4.
5*(n - 4)**2*(n - 1)*(n + 1)/2
Let o = 797892 + -797887. Solve 8/3 - 1/3*g**3 - 4/3*g**4 - 1/3*g**o + 14/3*g**2 + 20/3*g = 0.
-2, -1, 2
Let z(j) be the first derivative of j**6/165 - j**4/22 - 2*j**3/33 - 134*j - 1. Let g(a) be the first derivative of z(a). Let g(w) = 0. Calculate w.
-1, 0, 2
Solve 2738 + 149/2*z**2 - 2812*z - 1/2*z**3 = 0 for z.
1, 74
Suppose -14*q = -5*q - 14*q + 10. Let l(d) be the first derivative of 0*d - 4/15*d**3 + 7 + 3/5*d**q - 1/10*d**4. Factor l(k).
-2*k*(k - 1)*(k + 3)/5
Let u(l) be the second derivative of l**5/110 + 13*l**4/66 - 16*l**3/33 - 28*l**2/11 + 364*l + 3. Factor u(g).
2*(g - 2)*(g + 1)*(g + 14)/11
Let t(n) = -10*n**2 - 204*n - 126. Let w(l) = -206*l + 15 - 63 - 77 - 9*l**2. Let c(s) = 3*t(s) - 2*w(s). Factor c(u).
-4*(u + 16)*(3*u + 2)
Factor 28*l + 0 + 2/9*l**3 - 50/9*l**2.
2*l*(l - 18)*(l - 7)/9
Suppose 3*u + 86 = -2*o + 184, 3*u + 3*o - 102 = 0. Let v = 257 - 179. Factor -3*r**2 - u*r - 9 + v*r - 36*r.
-3*(r - 3)*(r - 1)
Let b(k) = -25*k**2 - 120*k + 20. Let i(f) = f**2 - f - 1. Let p be (40/(-7))/(30/42 - 1). Let z(t) = p*i(t) + b(t). Factor z(n).
-5*n*(n + 28)
Let j(n) = n**2 - 18*n + 47. Let o be j(15). Find h, given that -36*h**2 - 78*h + 7*h**o + 16*h**2 + 10*h**2 - 507 = 0.
-13
Let o be (4 - 444/114) + 946/6536. Suppose 3*w = -4*a - 8, 0 = w + 4*a + a + 10. Factor 0*x - 1/4*x**3 + w + 1/4*x**4 + o*x**5 - 1/4*x**2.
x**2*(x - 1)*(x + 1)**2/4
Factor 23970*s**2 - 640*s**3 + 3*s**4 - s**4 - 6333839 + 4*s**4 - 414656 - s**4 - 88360*s.
5*(s - 47)**3*(s + 13)
Let m = -634 + 637. Factor 4*s**m + 2*s**4 - 4*s**3 - 6*s**3 + 28*s - 38*s**2 + 14*s**3.
2*s*(s - 2)*(s - 1)*(s + 7)
Let b(u) = -2. Let z(t) = 2*t**2 + 26*t + 28. Let r = 87 - 89. Let i(g) = r*b(g) - z(g). Factor i(l).
-2*(l + 1)*(l + 12)
Let l(u) = -3*u**2 - 111*u - 1026. Let h be l(-19). Solve h*c + 0 + 2/11*c**5 + 0*c**2 + 24/11*c**3 + 16/11*c**4 = 0.
-6, -2, 0
Let o = 707332 - 117416689/166. Let d = o + -4/83. Let 20*u + d*u**2 + 40 = 0. What is u?
-4
Let r(c) be the third derivative of 0*c**4 + 1/84*c**8 + 0*c**3 + 4/15*c**7 - 29*c**2 + 0*c + 4/5*c**5 + 5/6*c**6 + 0. Let r(i) = 0. Calculate i.
-12, -1, 0
Let n(l) be the third derivative of -l**6/15 - 3*l**5/10 + l**4/3 + 3*l**3 + 3522*l**2. Determine j so that n(j) = 0.
-9/4, -1, 1
Let v(s) be the third derivative of s**8/1680 + 9*s**7/350 + 131*s**6/600 - 53*s**5/20 - 15*s**4/2 - 15*s**2 + 61. Suppose v(d) = 0. Calculate d.
-15, -1, 0, 4
Factor -46/5*o**3 + 0*o - 2/5*o**4 + 48/5*o**2 + 0.
-2*o**2*(o - 1)*(o + 24)/5
Suppose 10*t = 3*t + 154. Let b(p) = p + 1. Let w(v) = v**3 + 7*v**2 - 12*v - 18. Let l(f) = t*b(f) + 2*w(f). Suppose l(x) = 0. What is x?
-7, -1, 1
Let o(d) be the first derivative of -1/18*d**3 - 81 + 11/3*d**2 - 242/3*d. Let o(q) = 0. Calculate q.
22
Factor 1/6*n**5 + 2/3*n**4 + 0*n + 0 + 0*n**2 + 1/2*n**3.
n**3*(n + 1)*(n + 3)/6
Let x be (-17)/119 - (-4 - 94/(-28)). Let i be ((-18)/(-20))/((-12)/(-20)). Suppose 0 + i*y**4 - x*y**3 - 3/2*y**2 + 1/2*y = 0. What is y?
-1, 0, 1/3, 1
Let f(m) be the third derivative of m + 0 + 1/330*m**5 - 2*m**2 - 7/33*m**3 - 1/22*m**4. Solve f(d) = 0.
-1, 7
Let m(d) = 5*d**3 - 199*d**2 + 1861*d + 1600. Let w(b) = -30*b**3 + 1193*b**2 - 11159*b - 9600. Let k(p) = 34*m(p) + 6*w(p). Let k(r) = 0. What is r?
-4/5, 20
Let f be (-1702)/(-8280) + (-46)/(-1035). Factor v**2 - 5/4 + f*v.
(v - 1)*(4*v + 5)/4
Let 122/9*h**3 + 260/3 + 142/9*h - 518/9*h**2 + 2/9*h**4 = 0. Calculate h.
-65, -1, 2, 3
Suppose 40*s - 48*s + 72 = 0. Determine d so that 3*d**2 - 12*d**2 - s*d**3 + 2*d**2 + 3*d**4 + 16*d + 12 - 8*d**2 - 7*d = 0.
-1, 1, 4
Let t be (-3 - (-14)/2 - -2) + -1. Let p be 2/(t + -4) + 0. Determine l, given that -12 - 2*l + 2*l**3 - 6*l + 12*l**p - 2*l**4 - 4 + 0*l = 0.
-2, -1, 2
Let r = -34114 - -34116. Let l(n) be the second derivative of 9/5*n**r + 5*n - 1/20*n**4 + 0 + 1/2*n**3. Determine h, given that l(h) = 0.
-1, 6
Let -7*g**4 - 3471445*g**2 + 4*g**4 - 23229*g**3 - 22582982*g**2 + 5547*g**3 = 0. What is g?
-2947, 0
Let u(o) be the third derivative of 1/30*o**5 - 46/3*o**3 + 8*o**2 + 0 + 6*o + 15/4*o**4. Factor u(v).
2*(v - 1)*(v + 46)
Let y(l) be the third derivative of -l**5/10 + 35*l**4/24 + l**3 + 11*l**2 - 88. Factor y(b).
-(b - 6)*(6*b + 1)
Let t(h) be the third derivative of h**9/12096 - h**8/2240 + h**7/1680 - 19*h**3 + h**2 + 6. Let l(i) be the first derivative of t(i). Factor l(k).
k**3*(k - 2)*(k - 1)/4
Suppose -33*t + 239 - 8 = 0. Suppose -d + 5*l = 18, 8*l - 12 = -4*d + t*l. Factor 4/15*v**4 + 0 + 0*v**d + 0*v - 2/15*v**3.
2*v**3*(2*v - 1)/15
Let f(t) be the second derivative of -t**7/4200 - t**6/24 - 25*t**5/8 + t**4/2 + 4*t. Let m(q) be the third derivative of f(q). Determine o so that m(o) = 0.
-25
Factor 1/4*l**4 + 47/4*l**3 - 86400 - 18*l**2 - 7344*l.
(l - 25)*(l + 24)**3/4
Let w be -9 + -2 + 8 - (-6)/2. Suppose w = 19*c - 8*c. Determine y so that 2/3*y**3 - 4/9*y + c + 14/9*y**4 - 2/3*y**2 + 2/3*y**5 = 0.
-1, 0, 2/3
Let l(w) be the second derivative of w**5/20 + 2067*w**4/4 + 4272489*w**3/2 + 8831234763*w**2/2 + 6502*w. Factor l(m).
(m + 2067)**3
Let y be (17 - 2) + (-1762)/126 + 194/2037. Find k such that -8/9*k**4 - 4/9*k**2 + y*k**3 + 0*k + 2/9*k**5 + 0 = 0.
0, 1, 2
Suppose -124*c = 49*c - 60204. Suppose -i - i = -200. Suppose -73*w**2 - c*w**3 + 864*w - 118*w**2 - i*w**4 - 324 - 132*w**3 - 25*w**2 = 0. What is w?
-3, 3/5
Let w(n) = 7*n - 2. Let k be w(5). Let j = k - 26. Factor -10 + j*a**3 + 10*a**2 + 28*a**3 - 32*a - 3*a.
5*(a - 1)*(a + 1)*(7*a + 2)
Let m(f) be the second derivative of -f**5/4 + 75*f**4 - 2875*f**3/2 + 10625*f**2 + 3*f + 140. Determine l so that m(l) = 0.
5, 170
Let h(j) be the first derivative of 49*j**6/3 - 938*j**5/5 + 884*j**4 - 6536*j**3/3 + 2944*j**2 - 2048*j - 550. Suppose h(q) = 0. Calculate q.
1, 2, 16/7
Suppose -475*n + 192*n = -566. Suppose 8/5*f**3 - 54/5*f + 48/5*f**n + 14/5 = 0. What is f?
-7, 1/2
What is j in 508/7*j**3 + 0*j + 0 - 120/7*j**2 + 52/7*j**4 = 0?
-10, 0, 3/13
Let s(v) be the second derivative of -7/90*v**5 - 1/90*v**6 - 2/9*v**2 - 11 - 8/27*v**3 + 4*v - 23/108*v**4. Determine m, given that s(m) = 0.
-2, -1, -2/3
Let s(d) be the third derivative of 3*d**8/112 - 44*d**7/105 + 93*d**6/40 - 26*d**5/5 + 14*d**4/3 + 3166*d**2. Factor s(f).
f*(f - 4)**2*(f - 1)*(9*f - 7)
Determine n, given that -292388 + 2464*n - 1880215 + 545*n**2 + 2642*n - 548*n**2 = 0.
851
Let w(f) be the first derivative of f**7/280 + 3*f**6/20 + 12*f**5/5 + 16*f**4 + 7*f**3/3 + 11. Let z(a) be the third derivative of w(a). Factor z(d).
3*(d + 2)*(d + 8)**2
Let s(p) = -p**2 + 17*p - 42. Let r be s(4). Factor 3*n**2 - 84*n**2 - 20*n**2 + r*n - 9*n**2 - 45*n**2.
-5*n*(31*n - 2)
Let u(t) be the first deriva