at is o?
2, 6
Let f be 6/7*(-189)/(-18). Let s be (f/20)/(17/((-255)/(-18))). Find d such that -3/8*d**2 + 3/8*d**4 + 0*d + 0 - s*d**3 + 3/8*d**5 = 0.
-1, 0, 1
Suppose -174702 = -73*d - 174191. Factor -9/2*o + 1/2*o**2 + d.
(o - 7)*(o - 2)/2
Let p = 339687 + -339683. Find s, given that -2/3*s**3 + s - 4/3*s**p + 4/3*s**2 + 0 - 1/3*s**5 = 0.
-3, -1, 0, 1
Let c(s) = 8*s**3 - 1920*s**2 + 182373*s + 372493. Let n(o) = 15*o**3 - 3840*o**2 + 364750*o + 744985. Let h(m) = 5*c(m) - 3*n(m). Let h(u) = 0. What is u?
-2, 193
Let a = 4492/55 - 894/11. Let f(s) be the first derivative of 4/9*s**3 + 0*s + 0*s**2 - a*s**5 - 1/6*s**4 + 14. Factor f(r).
-2*r**2*(r + 1)*(3*r - 2)/3
Let a(o) be the third derivative of -56/75*o**5 - 49/75*o**6 - 3/5*o**3 - 181*o**2 + 0*o + 0 + 5/4*o**4. Factor a(r).
-2*(r + 1)*(14*r - 3)**2/5
Let a(c) be the second derivative of -c**6/280 - 2*c**5/35 - 5*c**4/14 - 8*c**3/7 + 69*c**2/2 - 46*c - 1. Let d(r) be the first derivative of a(r). Factor d(z).
-3*(z + 2)**2*(z + 4)/7
Let i(m) = -m**2 - 69*m + 1363. Let z be i(16). Factor -1/2*u**z + 0 + 3*u**2 - 8*u**5 - 12*u**4 - 1/2*u.
-u*(u + 1)**2*(4*u - 1)**2/2
Let z = -14 - -88. Solve -6*c + 84*c**3 - 5*c**4 - z*c**3 - 4*c + 5 = 0 for c.
-1, 1
Let k(x) be the second derivative of x**7/1680 - 11*x**6/480 - 3*x**5/20 + 11*x**4/12 - x**3/6 - 58*x. Let t(r) be the third derivative of k(r). Solve t(f) = 0.
-1, 12
Let t(x) be the second derivative of -x**5/5 - 104*x**4/3 - 1656*x**3 + 23328*x**2 + 1338*x. Solve t(q) = 0.
-54, 4
Find k, given that 54*k**2 + 47*k**2 + 53*k**2 + 100*k + 96 - 150*k**2 = 0.
-24, -1
Let q(n) be the second derivative of -3*n**5/160 - 6939*n**4/32 - 16049907*n**3/16 - 37123434891*n**2/16 + 2*n - 728. Factor q(m).
-3*(m + 2313)**3/8
Let f(r) be the second derivative of -r**5/20 - 17*r**4/3 - 65*r**3/6 + 67*r**2 - 1780*r. Suppose f(q) = 0. Calculate q.
-67, -2, 1
Let z(o) be the second derivative of -3*o**5/20 + 7*o**4 - 26*o**3 + 2*o - 14203. Solve z(t) = 0 for t.
0, 2, 26
Determine y, given that 47*y**3 + 5*y**3 + 8504*y - 10*y**3 + 19188*y**2 + 120*y**3 + 944 = 0.
-118, -2/9
Suppose 54*b**3 - 21*b**3 + 5*b**4 - 20*b - 22*b**3 - 21*b**3 - 35*b**2 = 0. What is b?
-1, 0, 4
Suppose -6*k + 27 = 3. Determine c, given that 16*c**4 + 3*c**4 + 176*c - 64 + c**5 + 73*c**3 - 172*c**2 - 37*c**k + 4*c**4 = 0.
1, 4
Suppose 2634*h - 33153 - 93183 = 47508. Factor -2/9*w**4 + 5324/9 - h*w**2 + 1210/9*w + 62/9*w**3.
-2*(w - 11)**3*(w + 2)/9
Factor -2*w**4 - 9835*w**2 + 9693*w**2 - 69*w**3 + 200*w + 13*w**3.
-2*w*(w - 1)*(w + 4)*(w + 25)
Let o(k) be the second derivative of -k**4/36 - 149*k**3/18 - 74*k**2/3 + 1277*k. Find a, given that o(a) = 0.
-148, -1
Suppose -l + 1 = 0, -11*l = 5*k - 8*l - 23. Determine y, given that -3*y**4 - 5*y**5 + 15*y**4 - 15 - 25*y + 10*y**2 + y**4 - 8*y**k + 30*y**3 = 0.
-1, 1, 3
Suppose 4*n - 32 = -q, -4*q - 5*n + 114 = -36. Let r be 102/189 + q/70. Suppose 0 + 0*l**2 + r*l**5 + 4/9*l**3 - 14/9*l**4 + 0*l = 0. Calculate l.
0, 2/5, 1
Determine g, given that -10/3*g**5 - 76/3*g**4 - 248/3*g + 208/3*g**2 + 62/3*g**3 + 64/3 = 0.
-8, -2, 2/5, 1
Solve 44550 + 3/2*l**3 + 279/2*l**2 + 4320*l = 0 for l.
-33, -30
Suppose -31*u = 3*g - 3059, 357*u - g - 189 = 355*u. Solve u + 1/2*k**2 + 14*k = 0 for k.
-14
Suppose -2411*z = -2395*z. Factor -1/2*h + 1/2*h**2 + z.
h*(h - 1)/2
Let w(u) be the second derivative of -2 - 25/12*u**2 + 7*u - 1/72*u**4 + 5/18*u**3. Suppose w(s) = 0. Calculate s.
5
Let g(b) be the third derivative of -b**5/60 + 11*b**4/24 + 10*b**3 + 1730*b**2. Solve g(z) = 0 for z.
-4, 15
What is i in -105 + 0*i**2 + 145*i + 146*i - 4*i**2 + 5*i**2 - 283*i = 0?
-15, 7
Let x = -46858 + 186173/4. Let k = x + 317. Factor -3/4 - 9/4*r - k*r**2 - 3/4*r**3.
-3*(r + 1)**3/4
Suppose -4*t = 3*d - 62, 193*t - 4*d = 196*t - 71. Let 3 + 23*s + 7/2*s**t + 243/4*s**2 + 123/4*s**4 + 68*s**3 = 0. What is s?
-6, -1, -1/2, -2/7
Suppose -11*v = -41 + 30. Let s be (2 - (-5)/(-6 + v))*2. Determine j so that 1/3*j**s - 1/12 - 1/4*j = 0.
-1/4, 1
Let n(h) be the third derivative of 5*h**8/112 + 11*h**7/35 + 5*h**6/8 - h**5/5 - 3*h**4/2 + 200*h**2 - 2*h. Determine x so that n(x) = 0.
-2, -1, 0, 3/5
Let j(z) = 6*z - 154. Let b be j(26). Let n be 6*((-42)/49 + 0 + 1). Factor 10/7*g - 2/7*g**3 + 2/7*g**b + n.
-2*(g - 3)*(g + 1)**2/7
Suppose 575*k = 577*k - 4. Determine w, given that 3*w**3 - 1 - 16*w - k*w**4 - 5*w**3 + 304*w**2 + 1 - 284*w**2 = 0.
-4, 0, 1, 2
Let n = 6031 - 90461/15. Let c(o) be the first derivative of -1/5*o**2 + 24 + n*o**3 - 1/10*o**4 + 0*o. Determine i so that c(i) = 0.
0, 1
Let l(s) be the second derivative of -5*s**7/42 + 11*s**6/3 + 23*s**5/4 + 1592*s. Determine b, given that l(b) = 0.
-1, 0, 23
Suppose -14*n - 44 = -g - 16*n, 3*g - 3*n = 141. Suppose 88 = g*f - 4. Factor -1/9*q**4 + 10/9*q**3 - 8/9*q**f + 1 - 10/9*q.
-(q - 9)*(q - 1)**2*(q + 1)/9
Let m = 857 + -863. Let q be (m/8)/(102/(-51)). Solve -15/4*l + 9/2*l**2 + 9/8 - 9/4*l**3 + q*l**4 = 0 for l.
1, 3
Suppose 2*h = -13 + 19, 2*r - 1 = h. Factor -585901 + 32941 - 246*d**2 + 23*d**3 + 34560*d - 18*d**3 - 474*d**r.
5*(d - 48)**3
Determine m, given that -6*m**4 + 2*m**5 + 26*m**4 - 5960362*m + 5960362*m - 112*m**3 = 0.
-14, 0, 4
Factor 15*s**5 - 818*s**3 + 630*s**3 - 1350*s - 13*s**5 - 6*s**4 - 702 - 828*s**2.
2*(s - 13)*(s + 1)*(s + 3)**3
Let z(m) be the third derivative of 0*m - 2/9*m**3 + 1/360*m**6 - 1/30*m**5 - m**2 + 1/8*m**4 - 27. Factor z(i).
(i - 4)*(i - 1)**2/3
Let b(f) be the first derivative of -6*f**2 + 36*f - 17 - 91*f**3 - 45/4*f**4. Factor b(z).
-3*(z + 6)*(3*z - 1)*(5*z + 2)
Let i(d) be the third derivative of -d**6/420 + 43*d**5/210 + 11*d**4/21 + 2*d**2 - 118*d. Factor i(b).
-2*b*(b - 44)*(b + 1)/7
Let j(b) be the first derivative of 715/2*b**2 + 5/4*b**4 + 115/3*b**3 - 8 + 605*b. Find o, given that j(o) = 0.
-11, -1
Let b be ((-6)/(-9))/((-160)/336). Let k = 3/2 + b. Let -k*s**2 + 0 - 1/10*s = 0. Calculate s.
-1, 0
Let h(o) be the second derivative of o**7/48 + 37*o**6/48 + 57*o**5/160 - 541*o**4/96 + 17*o**3/6 + 39*o**2/4 + 783*o - 1. Find g such that h(g) = 0.
-26, -2, -3/7, 1
Factor 180*f - 4/5*f**2 + 5508/5 - 4/5*f**3.
-4*(f - 17)*(f + 9)**2/5
Determine x, given that -135/4 - 141/4*x**2 + 273/4*x + 3/4*x**3 = 0.
1, 45
Suppose 35*k - 184 = 31*k. What is y in 5*y**2 + y**4 + 49*y**3 - 14*y**3 + 5*y**2 - k*y**4 = 0?
-2/9, 0, 1
Let q(s) = -12*s**3 + 5*s**2 - 233*s - 755. Let p(l) = 87*l**3 - 36*l**2 + 1632*l + 5292. Let g(o) = 5*p(o) + 36*q(o). Factor g(b).
3*(b - 10)*(b + 4)*(b + 6)
Let s(m) be the first derivative of 363*m**6/2 + 4422*m**5/5 + 1059*m**4 - 456*m**3 - 960*m**2 - 384*m + 8671. Determine u, given that s(u) = 0.
-2, -4/11, 2/3
Let j(v) be the first derivative of -34/15*v**3 + 1/5*v**4 - 32/5*v + 8*v**2 - 78. Solve j(a) = 0 for a.
1/2, 4
Let l(m) = m**3. Let z(o) = o**3 - 16*o**2 + 12*o. Let q = 227 - 230. Let w(d) = q*l(d) - z(d). Suppose w(i) = 0. Calculate i.
0, 1, 3
Let l be (2 - 3)/(16/((-480)/(-145)) + -6). Factor 2/7*b**4 - l*b**3 - 2/7*b + 6/7*b**2 + 0.
2*b*(b - 1)**3/7
Find o such that -7*o + 15/2 - 1/2*o**2 = 0.
-15, 1
Let j(g) = -g**2 + 16*g - 21. Let p = 22 + -8. Let b be j(p). Let 2*v**4 - b + 6*v**2 - 6 - 5*v**4 + 10 = 0. What is v?
-1, 1
Factor 0*f + 35*f**4 + 0*f**2 + 0 + 2*f**3 + 1225/8*f**5.
f**3*(35*f + 4)**2/8
Let n(g) be the second derivative of 0*g**2 - 1/70*g**6 + 41*g - 1/294*g**7 + 1/28*g**5 + 1/28*g**4 - 2/21*g**3 - 2. What is v in n(v) = 0?
-4, -1, 0, 1
Suppose -32*f + 356 = -6*f + 63*f. Let w(b) be the second derivative of 1/40*b**5 + 0 - 1/3*b**3 + 1/24*b**f - b**2 - 7*b. Factor w(u).
(u - 2)*(u + 1)*(u + 2)/2
Let g be 2/(-8)*6/(-4). Let a = 2058925 + -2058923. Let -1/4 + 5/8*y**a - g*y = 0. What is y?
-2/5, 1
Let b = 4336 + -4317. Let r(f) be the second derivative of b*f + 0 - 7/60*f**4 - 3/100*f**5 - 1/15*f**3 + 0*f**2. Let r(m) = 0. Calculate m.
-2, -1/3, 0
Let v be 11634/(-378) + 31 - 19016/(-126). Factor -v - 2/7*d**2 + 92/7*d.
-2*(d - 23)**2/7
Determine x, given that 2*x**2 - 2200*x - 552*x + 2696 + 1414 - 1360 = 0.
1, 1375
Let j(v) be the first derivative of -4*v**5/5 - 11*v**4 - 148*v**3/3 - 90*v**2 - 72*v + 1003. Factor j(h).
-4*(h + 1)**2*(h + 3)*(h + 6)
Let a(i) = -i**3 + 192*i**2 - 531*i + 368. Let c(n) = -n**3 + 577*n**2 - 