 f - 4/623. Find o such that 9/4 - 3/4*o**2 - s*o = 0.
-3, 1
Factor -547*p - 4*p**4 - 146642393*p**2 - 188*p**3 + 146641537*p**2 - 125*p.
-4*p*(p + 1)*(p + 4)*(p + 42)
Let y = 17/282 - -485/141. Factor y*o**2 + o**3 + 4*o + 3/2.
(o + 1)**2*(2*o + 3)/2
Let u(g) be the first derivative of -g**7/84 - 3*g**6/20 - g**5/2 - 2*g**4/3 - 86*g**3/3 + 47. Let p(k) be the third derivative of u(k). Factor p(b).
-2*(b + 1)*(b + 4)*(5*b + 2)
Let d(f) be the first derivative of -2*f**3/3 - 242*f**2 - 29282*f - 375. Solve d(m) = 0 for m.
-121
Let r = 74780/23 + -224225/69. Factor 1/6*j**4 + 17/6*j**2 + 4/3*j + 0 + r*j**3.
j*(j + 1)**2*(j + 8)/6
Let f be 4*(-7 + 663/68 + 4/(-2)). Let m be 3 + -1 - (-20)/6. Factor 264*g + 23958*g**f + m + 4356*g**2.
2*(33*g + 2)**3/3
Let f(c) be the second derivative of -c**7/126 - 118*c**6/45 - 2281*c**5/10 + 7021*c**4/9 - 14161*c**3/18 + 966*c + 2. Solve f(r) = 0 for r.
-119, 0, 1
Determine c so that 29403 - 32505*c**2 + 199*c + 32508*c**2 + 395*c = 0.
-99
Let v(f) be the first derivative of 0*f + 0*f**2 + 21 + 0*f**4 + 1/240*f**5 - 1/1440*f**6 + 11*f**3. Let w(l) be the third derivative of v(l). Factor w(h).
-h*(h - 2)/4
Let n(m) be the second derivative of 62*m + 0 + 68/5*m**3 - 6936/5*m**2 - 1/20*m**4. Suppose n(y) = 0. What is y?
68
Let q(w) be the third derivative of 0*w**5 - 1/3*w**3 - 32*w**2 - 1/30*w**6 + 0 + 1/6*w**4 + 1/105*w**7 + 0*w. Factor q(v).
2*(v - 1)**3*(v + 1)
Let l(j) be the third derivative of 64*j**8/63 - 6464*j**7/315 - 206*j**6/15 - 311*j**5/90 - 13*j**4/36 + 59*j**2 + j + 11. Factor l(h).
2*h*(h - 13)*(8*h + 1)**3/3
Let f be (-5 - 58/(-6))*42/49. Suppose 0 = -f*x + g + 7, -5*x + 2*g = -x - 2. Factor -1/4*c**x + 0 + 0*c**2 + 0*c + 1/4*c**4.
c**3*(c - 1)/4
Find f such that -867 - 3/4*f**4 - 3879/4*f**2 - 1785*f - 105/2*f**3 = 0.
-34, -1
Let x(t) be the second derivative of -t**6/3060 + 11*t**5/1020 + 13*t**4/102 + t**3/3 - 5*t**2 + t + 45. Let r(s) be the second derivative of x(s). Factor r(k).
-2*(k - 13)*(k + 2)/17
Let n(l) be the second derivative of -l**7/210 + 17*l**6/150 - 7*l**5/50 - 8*l**4/15 - 600*l. Determine d so that n(d) = 0.
-1, 0, 2, 16
Let f be 203/35 - 6 - (-26)/5. Suppose -f*d = -g, 3*g = 7*g + d. Suppose c**4 + g*c**3 - 1/2*c - c**2 + 1/2*c**5 + 0 = 0. Calculate c.
-1, 0, 1
Determine u, given that 12*u**3 - 84*u - 2/5*u**4 + 0 + 362/5*u**2 = 0.
-6, 0, 1, 35
Let j(q) be the second derivative of -3*q**5/20 - 55*q**4/4 - 122*q**3 + 450*q**2 + 6101*q. Factor j(a).
-3*(a - 1)*(a + 6)*(a + 50)
Find p such that -120/7 - 10/7*p**3 + 118/7*p + 13/7*p**2 - 1/7*p**4 = 0.
-10, -4, 1, 3
Let b(w) be the first derivative of -w**3/12 + 13*w**2 + 105*w/4 - 347. What is t in b(t) = 0?
-1, 105
Let a(d) be the second derivative of 3/8*d**3 + 3 - 3/2*d**2 + 1/16*d**4 + 9*d. Determine w so that a(w) = 0.
-4, 1
Let b(x) be the first derivative of 1/18*x**4 + 4/9*x**2 + 0*x + 10/27*x**3 - 107. Let b(m) = 0. Calculate m.
-4, -1, 0
Suppose -25 = -7*d - 11. Factor 6*t**2 - 4*t**2 + 259*t - 299*t + d*t**2.
4*t*(t - 10)
Let n(p) be the third derivative of -1/18*p**3 + 0 + 7/72*p**4 + 0*p + 231*p**2 + 13/360*p**6 - 1/12*p**5 - 2/315*p**7. Solve n(w) = 0 for w.
1/4, 1
Let l be (-3 + 16 + 15246/(-1170))*-13. Suppose 0 + 0*d**2 - l*d + 2/5*d**3 = 0. Calculate d.
-1, 0, 1
Let l(n) be the first derivative of -70 + 5/3*n**3 + n**5 - 10*n - 15/4*n**4 + 15/2*n**2. Factor l(j).
5*(j - 2)*(j - 1)**2*(j + 1)
Let b(p) be the second derivative of -p**6/30 - 31*p**5/20 - 79*p**4/6 - 100*p**3/3 - 202*p - 5. Let b(n) = 0. What is n?
-25, -4, -2, 0
Let z be 7511/19 - (140 + -132). Let c = z - 387. Suppose -4/19 + 4/19*n**3 - 6/19*n + c*n**2 = 0. What is n?
-2, -1/2, 1
Let d be -3 + 2 - 19334/(-12429). Factor -d*p + 0 - 1/9*p**2.
-p*(p + 5)/9
Let z be (54/5)/(40/(-150)). Let b = z - -247/6. Factor -b*y**3 + 2/3 - 2/3*y**2 + 2/3*y.
-2*(y - 1)*(y + 1)**2/3
Let z = -17652 + 17654. Let j(g) be the second derivative of 4/9*g**3 + 0 - 3*g - 1/54*g**4 - 4*g**z. Solve j(x) = 0 for x.
6
Let -10 + 1/6*q**2 - 2/3*q = 0. Calculate q.
-6, 10
Factor 4*l**3 + 0 + 1/9*l**4 + 44/3*l**2 + 128/9*l.
l*(l + 2)**2*(l + 32)/9
Let q(x) be the second derivative of -x**6/120 - 5*x**5/16 - 143*x**4/48 + 169*x**3/24 - x + 65. Find c such that q(c) = 0.
-13, 0, 1
Let z be (-21 - 689/(-78)) + 13. Let d = -107 - -109. Determine b so that 2/3*b**4 - 1/6 + 5/6*b - z*b**3 - 1/2*b**d = 0.
-1, 1/4, 1
Let m(n) = -20*n**2 - 240*n + 1060. Let t(s) = -3*s**2 - 37*s + 163. Suppose 2*a - 18*a - 512 = 0. Let w(f) = a*t(f) + 5*m(f). Factor w(q).
-4*(q - 3)*(q + 7)
Let a = 72147 + -290875/4. Let t = a - -573. Find y such that -3/4*y**2 + 9/4*y - 1/4*y**3 - t = 0.
-5, 1
Let x(g) be the second derivative of g**5/170 + g**4/6 - 38*g**3/51 + 681*g - 1. Factor x(c).
2*c*(c - 2)*(c + 19)/17
Let m(x) be the second derivative of x**4/6 - 37*x**3 + 218*x**2 + 3250*x. Solve m(y) = 0.
2, 109
Let w(k) be the third derivative of -k**5/45 + 19*k**4/18 - 176*k**3/9 + 766*k**2. Suppose w(a) = 0. What is a?
8, 11
Suppose -498679 - 156277 + 4*l**2 + 5157196 + 1570600 + 802044 + 10488*l = 0. What is l?
-1311
Find p, given that 14*p**2 + 188/3*p + 112/3 - 32/3*p**3 + 2/3*p**4 = 0.
-1, 4, 14
Let j be 9 - 9/(-14)*21*(-4)/6. Let y(c) be the first derivative of 40 + 1/3*c**2 + 0*c - 1/6*c**4 + j*c**3. What is r in y(r) = 0?
-1, 0, 1
Let y(o) = o**3 + o**2 + 24*o + 2. Let t be y(0). Determine l, given that 10*l**t + 19*l - 39*l**2 + 21*l**2 + 17*l + 14*l**2 - 2*l**3 = 0.
-3, 0, 6
Find f, given that -1040/11 - 1124/11*f + 2/11*f**3 - 82/11*f**2 = 0.
-10, -1, 52
Let p(q) be the third derivative of -130*q**2 + 2*q + 2/45*q**5 + 1/9*q**4 + 1/9*q**3 + 0. Solve p(b) = 0.
-1/2
Suppose 132 - 82 = 5*i. Solve -i*j**3 - 2*j**4 - 8*j + 33*j**2 - 8*j**3 - 55*j**2 - j**5 + 3*j**5 = 0 for j.
-1, 0, 4
Let q(g) be the first derivative of -11*g**4/10 + 94*g**3/5 - 74*g**2 - 144*g/5 - 844. Suppose q(l) = 0. What is l?
-2/11, 4, 9
Solve -112*m + 44/3*m**3 + 0 + 26/3*m**4 - 200/3*m**2 - 2/3*m**5 = 0 for m.
-2, 0, 3, 14
Let k(l) be the first derivative of -2/3*l**3 + 0*l + 1/8*l**4 + l**2 - 15. Let k(b) = 0. What is b?
0, 2
Let x(o) be the second derivative of -2*o**6/15 - 23*o**5/5 + 136*o**4/3 - 224*o**3/3 - 6*o - 171. Determine g, given that x(g) = 0.
-28, 0, 1, 4
Let t be 548 + -559 - (-2 + -12). Factor -8/11*i**2 + 0 + 0*i**t + 2/11*i**4 + 0*i.
2*i**2*(i - 2)*(i + 2)/11
Let s(o) be the first derivative of o**8/4200 - o**7/840 + o**6/450 - o**5/600 + 4*o**3 + 224. Let j(r) be the third derivative of s(r). Solve j(x) = 0.
0, 1/2, 1
Suppose 1 - 7 = -3*p - 5*s, 0 = -2*s. Determine j so that 2272*j**3 + 4*j**p + 4*j**2 - 2228*j**3 = 0.
-2/11, 0
Let q(d) be the second derivative of -d**5/190 + 173*d**4/114 + 3*d + 128. Let q(v) = 0. What is v?
0, 173
Let i(a) = -24*a**3 + 19*a**2 + 19*a - 11. Let v be i(1). Factor 48/5*h + 0 + 68*h**2 + 616/5*h**v + 49/5*h**4.
h*(h + 12)*(7*h + 2)**2/5
Let c(k) be the second derivative of -k**5/8 + 5*k**4/3 - 35*k**3/4 + 45*k**2/2 + 2078*k. Factor c(o).
-5*(o - 3)**2*(o - 2)/2
Let w(a) be the second derivative of a**4/3 - 580*a**3/3 - 7441*a. What is u in w(u) = 0?
0, 290
Factor -23/3*r**2 + 8/3*r**3 + 28/3*r - 4 - 1/3*r**4.
-(r - 3)*(r - 2)**2*(r - 1)/3
Let v be 50/40 + (-153)/(-68). Factor 1/4*s**5 + 43*s**2 + 73/4*s**3 + v*s**4 + 44*s + 16.
(s + 1)**2*(s + 4)**3/4
Let h(g) be the third derivative of -g**6/140 + 17*g**5/210 + 29*g**4/28 + 9*g**3/7 - 105*g**2 - 5. Suppose h(n) = 0. Calculate n.
-3, -1/3, 9
Let p be 689/(-13) + 17 + 38. What is o in -6/5*o + 8/5*o**5 + 4/5 + 6/5*o**4 - 34/5*o**p - 26/5*o**3 = 0?
-1, 1/4, 2
Let p(c) be the second derivative of -c**7/4 + 229*c**6/6 - 13873*c**5/120 + 3743*c**4/36 + 109*c**3/9 - 214*c**2/3 + 10*c - 79. Let p(m) = 0. Calculate m.
-2/7, 2/3, 1, 107
Let k = 38 + 38. Let z = -74 + k. Factor -8*m**2 + 9*m**2 + z*m**2 - 12*m.
3*m*(m - 4)
Let l(w) be the third derivative of 3*w**8/112 + 19*w**7/70 - 109*w**6/24 + 155*w**5/12 - 43*w**4/3 + 8*w**3 - 925*w**2. Solve l(v) = 0.
-12, 1/3, 1, 4
Let o(q) = 38*q - 1140. Let v be o(30). Let h(c) be the first derivative of -3/4*c**4 - 3*c**3 + 6 + v*c + 6*c**2. Let h(r) = 0. What is r?
-4, 0, 1
Let d(j) be the first derivative of 180 - 240*j + 725/2*j**2 - 5*j**3. Let d(g) = 0. What is g?
1/3, 48
Let j(r) 