 given that 76/5*o**2 - 2*o**5 + 144/5 + 118/5*o**b - 408/5*o - 16/5*o**4 = 0.
-3, 2/5, 2
Let n(k) be the first derivative of -k**3 - 12*k**2 + 455. Let n(r) = 0. What is r?
-8, 0
Suppose -8*l + 137 = 5*v - 9*l, -4*v + 102 = 3*l. Suppose 21 - 119 + z**2 + 31 + 24 + v = 0. Calculate z.
-4, 4
Let l(i) be the second derivative of -i**5/50 - 56*i**4/5 - 223*i**3/5 - 334*i**2/5 + i - 783. Factor l(q).
-2*(q + 1)**2*(q + 334)/5
Let g be 5/((-152)/(-72) - 2). Suppose 4*o**3 - 100*o - 48*o**2 + g*o**2 + 27*o**2 + 72 = 0. Calculate o.
-9, 1, 2
Let f = -14693 + 18513181/1260. Let o(a) be the third derivative of -1/48*a**4 - 1/360*a**5 - f*a**7 + 0 + 1/240*a**6 + 1/18*a**3 + 0*a - 24*a**2. Factor o(s).
-(s - 2)*(s - 1)**2*(s + 1)/6
Let j(c) be the first derivative of 3*c**4/28 + 6*c**3 - 261*c**2/14 + 132*c/7 - 2017. Solve j(w) = 0 for w.
-44, 1
Let t = 757127/3 + -252349. Factor t + 40/3*w + 5/3*w**2.
5*(w + 4)**2/3
Factor 1328/13 + 1336/13*t + 2/13*t**3 + 340/13*t**2.
2*(t + 2)**2*(t + 166)/13
Let l be (-4)/(-5)*(-26 + 5751/216). Suppose 3*w**2 + 0 + 0*w + 7/2*w**3 + l*w**4 = 0. What is w?
-6, -1, 0
Let r be -13 - ((-2460)/9)/20. Let v(h) be the first derivative of 25/24*h**4 + 42 - r*h + 2*h**2 - 5/2*h**3. Factor v(x).
(x - 1)*(5*x - 2)**2/6
Let h(n) = 10*n**4 - 28*n**3 - 130*n**2 - 212*n + 4. Let y(b) = 3*b**4 - 3*b + 1. Let l(z) = -h(z) + 4*y(z). Factor l(q).
2*q*(q + 4)*(q + 5)**2
Let p(x) be the first derivative of -x**6/60 + 49*x**5/25 + x**4/10 - 196*x**3/15 - 11029. Determine t, given that p(t) = 0.
-2, 0, 2, 98
Find s such that -1/4*s**3 + 545/4*s**2 + 3297/4*s + 4959/4 = 0.
-3, 551
Suppose 0 = 3*r - 3*s - 9, 0 = 3*r - 4*s + 3*s - 3. Suppose 0 = -g - 2*j - 4, -4*g + 9*j - 4*j = -23. Let -8/7*k + 12/7*k**g - 4/7*k**3 + r = 0. What is k?
0, 1, 2
Suppose 117*w**3 + 1/2*w**4 - 13689/2 + 6844*w**2 - 117*w = 0. What is w?
-117, -1, 1
Let r be 9*4/12*1. Suppose 15*x**2 - 12*x**r - 3*x - 15 + 20*x**3 - 5*x**3 = 0. Calculate x.
-5, -1, 1
Suppose -121*o = -27*o + 8*o - 204. Let s(f) be the first derivative of 1/4*f**o - 28 + 1/6*f**3 - 3*f. Factor s(z).
(z - 2)*(z + 3)/2
Suppose -714 = -25*c + 4*c. Solve -12 + 56*f**2 - 31*f**2 + 3*f**4 - c*f**2 + 6*f**3 - 24*f = 0.
-2, -1, 2
Let v(h) be the third derivative of -5*h**8/336 - 14*h**7/15 + 61*h**6/20 - 31*h**5/15 - 41*h**4/24 + 4046*h**2. Solve v(r) = 0.
-41, -1/5, 0, 1
Let a(x) be the first derivative of -1/6*x**4 - 2/105*x**5 - 20/21*x**2 - 16/21*x - 4/7*x**3 - 51. Factor a(h).
-2*(h + 1)*(h + 2)**3/21
Let p be ((-2)/(-56))/((-106)/(103 - 5615)). Factor -p + 1/7*v - 1/7*v**3 + 13/7*v**2.
-(v - 13)*(v - 1)*(v + 1)/7
Let s(v) = -815*v**3 + 6755*v**2 + 9680*v + 2200. Let z(c) = 307*c**2 - 37*c**3 + 321*c + 119*c + 118 - 18. Let m(i) = 2*s(i) - 45*z(i). Factor m(x).
5*(x - 10)*(x + 1)*(7*x + 2)
Let x = 23101/3 - 7700. Suppose x*m**3 - 1/3 - 1/3*m + 1/3*m**2 = 0. What is m?
-1, 1
Let z(m) be the third derivative of 4/9*m**4 - 128/9*m**3 - 1/180*m**5 + 0*m + 0 - 61*m**2. Factor z(q).
-(q - 16)**2/3
Determine x, given that -12/7*x**2 + 0 + 0*x + 4/7*x**5 - 4/7*x**3 + 12/7*x**4 = 0.
-3, -1, 0, 1
Let n(o) = -o**3 - 4*o**2 + 5*o - 4. Let z be n(2). Let a be z/(-2) + 9*6/(-18). Solve -2/3*k**2 - 4*k - a = 0.
-3
Let q(n) = -n**3 - 25*n**2 - 10*n - 932. Let r be q(-26). Let y(b) be the first derivative of -2*b + 19 + 2/3*b**3 + 1/2*b**r - b**2. Factor y(d).
2*(d - 1)*(d + 1)**2
Let c(y) be the second derivative of 1/10*y**5 - 1/2*y**2 - 1/84*y**7 + 0*y**6 + 0 + 1/12*y**4 - 1/4*y**3 + y. Suppose c(p) = 0. What is p?
-1, 1, 2
Factor -52/5*u**2 + 118/5*u + 168/5 - 2/5*u**3.
-2*(u - 3)*(u + 1)*(u + 28)/5
Let i(q) be the first derivative of -480*q**6 - 1488*q**5 + 6355*q**4/4 + 2355*q**3 - 3475*q**2/2 + 375*q + 2096. Determine n so that i(n) = 0.
-3, -1, 5/24, 1
Suppose 2*m + 3*u - 5 = 0, 0 + 3 = u. Let f be (m + (-160)/(-105))*(-1 + -2). Factor -8/7*r**2 - f*r**4 + 2/7*r**5 + 0*r + 16/7*r**3 + 0.
2*r**2*(r - 2)**2*(r - 1)/7
Let q(b) be the first derivative of -b**5/5 - b**4/3 + 4*b**3/3 + 323*b - 320. Let f(l) be the first derivative of q(l). Find o such that f(o) = 0.
-2, 0, 1
Let c(a) be the third derivative of -a**6/1440 + 7*a**5/60 - 49*a**4/6 - 34*a**3/3 - 81*a**2. Let o(h) be the first derivative of c(h). Factor o(z).
-(z - 28)**2/4
Let w(z) = z**3 - 2*z**2 + 23*z - 10. Let x(n) = -9 + 27*n + 2*n**3 - 11 + 20*n - 3*n**2. Let o(j) = 13*w(j) - 6*x(j). Let o(a) = 0. What is a?
1, 2, 5
Let y(d) be the second derivative of d**3/3 + 25*d**2/2 - 18*d. Let n be y(-11). Factor 196*o**2 - 4*o**4 - 198*o**2 + 2*o**4 + 4*o**n.
-2*o**2*(o - 1)**2
Suppose -4*b - 680 = c - 693, -5*c = -3*b - 65. Factor -1/5*y**4 + b*y - 4*y**3 + 0 + 0*y**2.
-y**3*(y + 20)/5
Let q(o) = -57*o**2 - 26*o + 104. Let l(k) = 20*k**2 + 9*k - 34. Let u(t) = -11*l(t) - 4*q(t). Solve u(z) = 0.
-21/8, 2
Let v(g) be the third derivative of -g**7/105 - g**6/5 - 9*g**5/10 + g**4/3 + 12*g**3 - 375*g**2. Let v(u) = 0. What is u?
-9, -2, 1
Factor 4*v**2 - 115 - 1397 - 12725*v + 12233*v.
4*(v - 126)*(v + 3)
Factor -1831/3*l + 914/3*l**2 + 916/3 + 1/3*l**3.
(l - 1)**2*(l + 916)/3
Suppose 10*q - 17 = 3. Determine n so that 3*n - 35*n + 2957*n**3 + 18*n**2 - 2961*n**3 + 18*n**q = 0.
0, 1, 8
Let n(y) = 840*y**2 - 420*y**2 - 422*y**2 - 172 - 66*y. Let g(d) = -d**2 - 22*d - 58. Let i(s) = -8*g(s) + 3*n(s). Suppose i(c) = 0. Calculate c.
-2, 13
Let c(h) = 11*h**2 - 4*h - 2. Let t be c(3). Find w such that -34*w**4 + t*w**3 + 3234*w + 15*w**5 + 20 - 15*w**2 - 3274*w - 31*w**4 = 0.
-2/3, 1, 2
Suppose 1/5*v**2 + 5929/5 - 154/5*v = 0. What is v?
77
Solve 200/3*b + 14/3*b**2 + 56/3 = 0 for b.
-14, -2/7
Suppose -4*p - 3*o = -601, -6*p - 604 = -10*p - 4*o. Find l, given that 1075*l**5 - 229*l**2 - 1047*l**5 + p*l**4 + 61*l**3 - 96*l - 245*l**3 - 171*l**2 = 0.
-6, -1, -2/7, 0, 2
Find v such that 309 - 259 + 1216*v + 974 - 4*v**4 + 32*v**3 + 432*v**2 = 0.
-4, -2, 16
Suppose -70*p - 4*i = -75*p + 38, 0 = -p + 4*i + 14. Let y be (p/(-36))/(90/(-972)). Suppose y*s**2 + 0*s + 0 - 3*s**3 + 3/5*s**5 + 3/5*s**4 = 0. Calculate s.
-3, 0, 1
Let w(y) be the third derivative of -y**6/540 - 7*y**5/27 + 149*y**4/36 - 76*y**3/3 + y**2 + 421. Factor w(j).
-2*(j - 3)**2*(j + 76)/9
Let k(n) be the first derivative of n**4 - 644*n**3/3 - 319. Factor k(q).
4*q**2*(q - 161)
Let l(o) = o**3 + 20*o**2 - 43*o + 25. Let n be l(-22). Suppose -n*h = -5*g - h + 2, 2*g + 3*h - 16 = 0. What is f in -4/3*f**g + 0 - 4/3*f - 1/3*f**3 = 0?
-2, 0
Suppose 2*f - v = v + 8, 2*v - 7 = -3*f. Let o be (12*(-3)/(-6))/((45/(-5331))/(-5)). Factor o - 3554 - 5*t**f.
-5*t**3
Let p(v) = 2*v**2 + 172*v + 160. Let g(h) = h**2 + 84*h + 79. Let d(n) = -5*g(n) + 2*p(n). Factor d(s).
-(s + 1)*(s + 75)
Let k(x) be the second derivative of x**8/11200 - x**7/700 + x**6/100 - x**5/25 - 23*x**4/6 + 7*x + 1. Let h(g) be the third derivative of k(g). Factor h(m).
3*(m - 2)**3/5
Let o = -1691933 - -18611317/11. Factor -2/11*b**2 + 12/11*b + o.
-2*(b - 9)*(b + 3)/11
Let l(b) be the third derivative of -b**8/4032 - b**7/126 - b**5/20 - 11*b**4/8 + 23*b**2 + 4*b. Let s(y) be the third derivative of l(y). Factor s(g).
-5*g*(g + 8)
Let u be (6/4)/((-22)/(-44)). Factor 90 - 39*j**2 + 0*j**3 - 3*j**3 - 30*j + 11*j**3 - 11*j**u - 18.
-3*(j - 1)*(j + 2)*(j + 12)
Let b(u) be the first derivative of -u**5/40 + u**4/8 + u**3/3 - 5*u - 24. Let a(z) be the first derivative of b(z). Factor a(v).
-v*(v - 4)*(v + 1)/2
Let a be (-39)/3 - ((-1416)/48 - -13). What is g in -7 - a*g**2 + 51/2*g = 0?
2/7, 7
Let f be (36/1830)/((-9)/(-50)). Let x = 142/183 - f. Let 10/9*p**3 - 2*p + 2/9*p**4 + 0 + x*p**2 = 0. What is p?
-3, 0, 1
Let -234*d**3 - 18*d**2 + 92 + 94*d**4 - 176 + 90 + 70*d**4 + 82*d = 0. Calculate d.
-1/2, -3/41, 1
Factor 11/3*f**2 - 376/3*f + 68/3.
(f - 34)*(11*f - 2)/3
Suppose s + 3*j = 10, -3*s + 7*j = 5*j + 3. Let g(q) = 1. Let d(r) = -3*r**2 + 15*r - 14. Let b(a) = s*d(a) - 4*g(a). Factor b(o).
-3*(o - 3)*(o - 2)
Factor -207*n**4 - 35*n**2 + 55*n**2 - 83*n**2 - 150*n**3 + 200*n**4.
-n**2*(n + 21)*(7*n + 3)
Let p = -43 + 48. Determine d so that 74 + 98 - 172 - p*d**2 - 10*d = 0.
-2, 0
Let z(r) be the second derivative of 21*r**5/4 + 209*r**4/2 + 338*r**3 - 60*r**2 - 8*r + 58. Factor z(j).
3*(j + 2)*(j + 10)*(35*j - 2)
Let j(f) be the first de