 - 6. Let f(g) = 0. Calculate g.
-9, -3, 0
Let k be 276/(-90) - -3 - (-10282)/11130. Let -4/7*j**2 + 0 + 2/7*j**5 + 4/7*j**4 - 8/7*j**3 + k*j = 0. What is j?
-3, -1, 0, 1
Let h(q) be the third derivative of 2*q**6/45 + 37*q**5/15 + 10*q**4 - 104*q**3/9 + 19*q**2 + 46*q. Suppose h(s) = 0. What is s?
-26, -2, 1/4
Let m(n) be the second derivative of n**6/6 + 9*n**5 + 895*n**4/6 + 510*n**3 + 1445*n**2/2 - n + 21. Factor m(q).
5*(q + 1)**2*(q + 17)**2
Let -5277*g + 1759*g + 108*g**5 + 1760*g + 1758*g - 100*g**4 - 8*g**3 = 0. Calculate g.
-2/27, 0, 1
Let n(x) be the first derivative of -2*x**4/13 + 34*x**3/3 + 396*x**2/13 + 342*x/13 - 9517. Let n(o) = 0. What is o?
-1, -3/4, 57
Let g be ((-60)/26)/((-11205)/32370). Solve -g + 5*m**3 + 70/3*m**2 + 35/3*m = 0 for m.
-4, -1, 1/3
What is v in 9*v - 3/2*v**2 + 0 - 3/2*v**3 = 0?
-3, 0, 2
Let x(f) be the second derivative of f**4/4 - 606*f**3 + 3630*f**2 - 2*f + 814. Factor x(v).
3*(v - 1210)*(v - 2)
Let c be 6386/(-124) + 55 - 1*(-1)/2. Solve 120*q + 121/3*q**2 + 400/3 + 1/3*q**c + 6*q**3 = 0.
-5, -4
Let -20/3*n**3 + 976/3*n**2 + 0 + 332*n = 0. Calculate n.
-1, 0, 249/5
Let m(n) be the third derivative of -n**7/6720 + n**6/1920 + n**5/160 - 17*n**4/3 - 41*n**2. Let v(k) be the second derivative of m(k). Factor v(j).
-3*(j - 2)*(j + 1)/8
Let 176/15 + 212/15*p + 34/15*p**2 - 2/15*p**3 = 0. What is p?
-4, -1, 22
Factor 348/5 + 108/5*d**2 - 458/5*d + 2/5*d**3.
2*(d - 3)*(d - 1)*(d + 58)/5
Let b(u) be the third derivative of -u**9/3528 - u**8/1176 - u**7/2940 + u**6/1260 + 13*u**3 - 161*u**2. Let i(a) be the first derivative of b(a). Factor i(z).
-2*z**2*(z + 1)**2*(3*z - 1)/7
Let a(t) be the second derivative of t**6/105 + 11*t**5/70 + 23*t**4/42 - 5*t**3/3 + 2918*t. Factor a(v).
2*v*(v - 1)*(v + 5)*(v + 7)/7
Let p be (-168)/(-105) - (-3)/(-5). Let r(z) = -z - 3. Let w(q) = -3*q**2 + 34*q - 81. Let y(d) = p*w(d) - 5*r(d). Factor y(a).
-3*(a - 11)*(a - 2)
Suppose -g + 195 - 128 = -9*k, 2*k = 3*g - 26. Find o such that -184/7*o**3 - 132*o**2 - 432/7 - 1584/7*o - 12/7*o**g = 0.
-6, -3, -1/3
Let 6/5*b + 9 - 3/5*b**2 = 0. Calculate b.
-3, 5
Let c(v) be the second derivative of -v**5/40 + 37*v**4/12 + 103*v**3/4 + 117*v**2/2 + 2*v - 2075. Let c(i) = 0. Calculate i.
-3, -1, 78
Let u(o) be the first derivative of -187*o**6/30 + 30*o**5 - 189*o**4/5 + 8*o**3/15 + 1703. Factor u(h).
-h**2*(h - 2)**2*(187*h - 2)/5
Let n = 165 + -107. Factor 24*l - 6 - 3*l**3 + n*l - 73*l.
-3*(l - 1)**2*(l + 2)
Let v be -16 + 32 + (4508/(-42))/7. Factor 1/3*o**4 + 0 + 0*o + v*o**2 - o**3.
o**2*(o - 2)*(o - 1)/3
Let h = -348 + 356. Suppose -5*a + h = -o, 5*o + a = 5 + 7. Factor 0 + 0*l - 2/7*l**o.
-2*l**2/7
Let u(v) be the first derivative of v**5/4 - 35*v**4/8 + 40*v**3/3 + 80*v**2 + 94. Find x such that u(x) = 0.
-2, 0, 8
Suppose -j = 11*j - 10788. Let -1037*v + 1762*v + 48 - j*v + 21*v**2 = 0. Calculate v.
2/7, 8
Let i(g) be the second derivative of -1/10*g**5 + 0*g**2 + 0*g**3 + 36 + 5/6*g**4 - g. Solve i(q) = 0.
0, 5
Let r(x) be the second derivative of x**4/24 - 14*x**3 + 495*x**2/4 - 714*x. What is c in r(c) = 0?
3, 165
Let y = -154 + 24. Let i be 4/(-12)*78/y. Factor 1/10*s**3 - i - 1/10*s + 1/5*s**2.
(s - 1)*(s + 1)*(s + 2)/10
Let q(d) be the second derivative of d**7/21 - 16*d**6/5 + 46*d**5/5 + d**4/3 - 31*d**3 + 46*d**2 - 4880*d. Suppose q(s) = 0. Calculate s.
-1, 1, 46
What is p in -18*p - 810 + 3/2*p**2 = 0?
-18, 30
Solve 1746*g - 11664 + 2/9*g**3 - 340/9*g**2 = 0.
8, 81
Let k(y) be the first derivative of -56/3*y**3 - 48*y + y**4 - 97 + 50*y**2. Factor k(b).
4*(b - 12)*(b - 1)**2
Factor -3917*m + 6351827 - 5555*m - 811184 + 1318*m + 3*m**2.
3*(m - 1359)**2
Let l(t) be the second derivative of -1/24*t**4 - 90*t + 0 + 13/2*t**3 - 1521/4*t**2. Factor l(h).
-(h - 39)**2/2
Let h(r) be the third derivative of -r**5/210 - 129*r**4/14 - 773*r**3/21 - 2*r**2 - 189. Factor h(g).
-2*(g + 1)*(g + 773)/7
Let j(g) be the third derivative of -1/100*g**5 + 0*g**3 + 0 - 1/10*g**4 + 0*g + 45*g**2. What is c in j(c) = 0?
-4, 0
Let f(n) be the third derivative of 13*n**7/105 - 8*n**6/5 + 24*n**5/5 + 32*n**4/3 - 9*n**2 - 4*n + 49. Factor f(m).
2*m*(m - 4)**2*(13*m + 8)
Let w = -110552/7 - -552844/35. Solve -64/5 + 32/5*s - 1/5*s**4 - 4/5*s**3 + w*s**2 = 0 for s.
-4, 2
Let i(a) be the third derivative of -a**6/160 - 7*a**5/40 + 47*a**4/32 + 30*a**3 - 4*a**2 - 8*a - 8. Factor i(p).
-3*(p - 5)*(p + 3)*(p + 16)/4
Let l(y) be the first derivative of 0*y**2 + 2/15*y**5 + 0*y - 7/3*y**4 + 98/9*y**3 + 55. Suppose l(t) = 0. Calculate t.
0, 7
Let j(r) be the second derivative of r - 1/6*r**4 + 1/20*r**5 - 1 - 1/6*r**3 + r**2. Solve j(l) = 0.
-1, 1, 2
Let l be 16/(-36)*42/8*12/(-56). Find k such that 1/2*k - l*k**2 + 1 = 0.
-1, 2
Let q**3 - 2*q**2 + 1/3*q**4 + 0 - 8/3*q = 0. Calculate q.
-4, -1, 0, 2
Let l(d) be the third derivative of d**5/12 - 40*d**4 + 955*d**3/6 - 2667*d**2 + 2. Let l(a) = 0. Calculate a.
1, 191
Let w(a) = 11*a + 49*a + 2*a**3 - 65*a**2 + 8*a**3 + 4 - a**3. Let u(l) = 10*l**3 - 65*l**2 + 60*l + 5. Let c(i) = 4*u(i) - 5*w(i). Solve c(f) = 0 for f.
0, 1, 12
Find v such that -1335*v + 190 - 245/4*v**3 + 4725/2*v**2 = 0.
2/7, 38
Suppose 95*m = 92*m + 969. Let c = m - 319. Factor -8*h**2 + 2/3*h**5 + 0 - 4*h**c + 26/3*h**3 + 8/3*h.
2*h*(h - 2)**2*(h - 1)**2/3
Let j = 3231 - 3229. Let x(d) be the first derivative of 10*d - 14 + 5/3*d**3 - 15/2*d**j. Factor x(h).
5*(h - 2)*(h - 1)
Let f = 18/31 - -256/93. Let l(n) be the third derivative of 0 - 1/12*n**5 - 9*n**2 + 0*n + 5/8*n**4 + f*n**3. Solve l(v) = 0.
-1, 4
Let c(b) be the first derivative of 192*b - 122 - 8*b**2 + 1/9*b**3. Determine m so that c(m) = 0.
24
Let a = -1659 - -1099. Let t be (6/(-165))/(-4*(-7)/a). Factor -t*s + 2/11*s**2 + 0.
2*s*(s - 4)/11
Let p(f) = 18*f**5 + 71*f**4 - 226*f**3 + 48*f**2 - 3*f. Let w(i) = i**4 + 2*i**3 - i. Let h(n) = -2*p(n) + 6*w(n). Solve h(k) = 0 for k.
-6, 0, 2/9, 2
Let v(r) be the second derivative of r**7/6 + 146*r**6/15 - 21*r**5/4 - 445*r**4/6 - 166*r**3/3 + 84*r**2 + 117*r. Suppose v(x) = 0. What is x?
-42, -1, 2/7, 2
Let n = -14570 - -14570. Let c(g) be the second derivative of 5*g + 0*g**4 - 1/80*g**5 + 1/168*g**7 + n*g**2 + 0 + 0*g**3 + 0*g**6. Solve c(z) = 0.
-1, 0, 1
Let j(x) be the first derivative of 0*x**2 + 0*x - 4/15*x**5 + 4/9*x**3 + 1/27*x**6 - 168 - 1/18*x**4. Solve j(q) = 0 for q.
-1, 0, 1, 6
Factor -3 - 1/8*u**3 + 1/2*u - 1/8*u**4 + 5/4*u**2.
-(u - 2)**2*(u + 2)*(u + 3)/8
Let r be ((-2)/5)/((-7254)/6045). What is d in -3*d**2 + 5/3*d + 0 + r*d**4 + d**3 = 0?
-5, 0, 1
Let n be 6/(-26)*-20*15/(-18). Let l = n - -239/52. What is a in 3/4*a**2 - l*a + 0 = 0?
0, 1
Let p be ((-80)/(-50))/(4/10). Suppose -3*v = -4*u, -4*v + p*u - 2 + 6 = 0. Factor 18 + 2/9*t**2 - v*t.
2*(t - 9)**2/9
Let h(a) = -75*a**2 - 880*a + 240. Let z be h(-12). Factor -6/7*u**2 + z + 3/7*u**4 + 0*u - 3/7*u**3.
3*u**2*(u - 2)*(u + 1)/7
Let x = -467818 - -467820. Determine f, given that 4/5*f**x - 272/5*f + 0 = 0.
0, 68
Let h(g) be the first derivative of g**4 + 0*g - 1/3*g**3 + 1/5*g**5 - 2*g**2 + 71. Determine z so that h(z) = 0.
-4, -1, 0, 1
Solve 47*w + 67*w - w**2 + 36*w - 184*w - 64 = 0.
-32, -2
Let k(a) = 7*a**3 - 5*a**2 - 21*a + 14. Let i(x) = 4*x**3 + 2 - 235*x**2 - 11*x + 0 + 233*x**2 + 4. Let d(c) = 5*i(c) - 3*k(c). Let d(z) = 0. Calculate z.
-2, 1, 6
Let i(s) = 17*s + 2. Let t be i(12). Suppose -409 - t = -5*n. Determine h so that 50*h**2 + 45 - 43*h - 15*h**4 + 0*h**4 + n*h + 5*h**5 + 25*h - 30*h**3 = 0.
-1, 3
Let v = -1973540/7 - -281936. Let -8/7*l + 1/7*l**2 + v = 0. What is l?
2, 6
Let f(o) be the first derivative of -o**6/18 - o**5 + 53*o**4/12 - 7*o**3/3 - 26*o**2/3 + 12*o - 761. Let f(q) = 0. What is q?
-18, -1, 1, 2
Let c = 137 - -7. Determine w, given that -333 - 84*w**4 + 40*w**5 - 520*w**3 - 332*w**2 + 825 + c*w - 412 = 0.
-2, -1, -2/5, 1/2, 5
Let d(g) = -5*g**3 + 13*g**2 - 35*g + 27. Let u(m) = -3 + 22*m - m**3 + 2*m**3 - 21*m + 1. Let h(n) = -d(n) - 6*u(n). Find v such that h(v) = 0.
-15, 1
Let l(x) = 22930*x + 68793. Let t be l(-3). Factor -2/5*y + 4/5*y**t + 1/10*y**4 - 2 + 3/2*y**2.
(y - 1)*(y + 2)**2*(y + 5)/10
Let u(y) = -15*y**3 - 104*y**2 + 327*y + 5558. Let z(x) = 8*x**3 + 52*x**2 - 164*x - 2776. Let v(q) = 4*u(q) + 7*z(q). Fi