4317. Let r(w) = 19*w**2 + 8628*w - 3247. Let j(z) = 10*d(z) + 13*r(z). Find i, given that j(i) = 0.
-959, 1/3
Let u(p) = 16*p**2 - 16*p + 8. Let i be 165/(-44) + 2*1/(-8). Let b(o) = -o**4 + o**3 + 31*o**2 - 33*o + 16. Let d(t) = i*b(t) + 7*u(t). Factor d(g).
4*(g - 1)**3*(g + 2)
Suppose 102*u = 109*u - 196. Factor -4*r**3 - u*r**2 + 9 - 4 - 5 - 44*r**2.
-4*r**2*(r + 18)
Let o(n) = -164*n + 2466. Let m be o(15). Let p(f) be the second derivative of 0 + 1/6*f**3 - 1/12*f**4 - m*f + 0*f**2. Solve p(s) = 0 for s.
0, 1
Let w = 30 + -22. Let h be ((-12)/w)/((-12)/32). Determine o, given that h*o**4 + 1 + 4*o**3 + 4*o + 6*o**2 + 0*o**4 - 3*o**4 = 0.
-1
Let n be (-21)/(-9)*396/462. Let z(p) be the first derivative of -p - 8 + 1/3*p**3 - 7/2*p**n + 7/4*p**4. Suppose z(k) = 0. Calculate k.
-1, -1/7, 1
Determine o so that 1/5*o**4 - 108/5 + 67/5*o**2 + 24/5*o + 16/5*o**3 = 0.
-9, -6, -2, 1
Let i(v) be the first derivative of 5*v**6/18 + 29*v**5/3 - 160*v**4/3 + 220*v**3/3 - 831. Determine k, given that i(k) = 0.
-33, 0, 2
Let f(r) = 5*r**4 + 7*r**3 - 9*r**2 - 7*r - 4. Let w(j) = j**4 + j**3 + 5*j - 1. Let b(y) = -f(y) + 4*w(y). Let b(a) = 0. Calculate a.
-3, 0, 3
Factor 27*o**2 - 159*o**2 + 72*o**2 + 129*o**2 + 1260*o.
3*o*(23*o + 420)
Suppose -5*u = -5*h - 25, -3*u + 2*u - 20 = 4*h. Suppose -9 = -l + w - u*w, -5 = w. Let l*r**3 + 16*r + 13*r**2 + 0*r**3 - 18*r**2 - 15*r**2 = 0. Calculate r.
0, 1, 4
Let -311*a**3 - 243*a**2 + 822*a + 36*a**4 - 2*a**5 + 300 + 627*a**3 + 16*a + 1059*a**2 = 0. What is a?
-3, -2, -1, 25
Let j be -5*((-18)/12)/((-126)/1416). Let g = -3197/42 - j. Factor 1/6*c**2 + g + 7/3*c.
(c + 7)**2/6
Solve -80/11*h**2 + 2/11*h**4 + 0 - 200/11*h + 14/11*h**3 = 0.
-10, -2, 0, 5
Let 2/9*n**4 - 284/3*n + 16/9*n**3 - 406/9*n**2 - 48 = 0. What is n?
-18, -1, 12
Let s(j) be the third derivative of 3*j**8/16 - 124*j**7/105 - 4241*j**6/120 + 693*j**5/10 + 137*j**4/6 - 140*j**3/3 + 2*j**2 - 805. What is x in s(x) = 0?
-7, -2/7, 2/9, 1, 10
What is f in 176/5*f**2 + 174/5*f**4 + 0*f + 1/5*f**5 - 351/5*f**3 + 0 = 0?
-176, 0, 1
Suppose -9*p + 20 = -4*p. Suppose p = k - 4*k - 5*t, -k + 10 = -4*t. Factor -14*b**k + 32*b - 13 + 3 + 2.
-2*(b - 2)*(7*b - 2)
Factor 1025 + 450 - 13*g**2 + 2662 - 433 + 5548*g + g**2.
-4*(g - 463)*(3*g + 2)
Suppose -g - 3*g = 0, 5*o - g = 470. Let f = o + -86. Factor -f*j**5 - 5*j**3 + 13*j**5 - 10*j**4 + 3*j**2 + 7*j**2.
5*j**2*(j - 2)*(j - 1)*(j + 1)
Let b = -451 + 449. Let p be 30/(-9)*((-30)/(-24) + b). Suppose -1/2*y - 5/2*y**2 + 1/2*y**3 + p = 0. What is y?
-1, 1, 5
Let q = -425339 + 425341. Suppose 74/13*p**q + 0 + 2/13*p**3 + 72/13*p = 0. What is p?
-36, -1, 0
Suppose 0 = 2*g - g - 6. Let t(u) = -u**3 - 2*u**2 + 7*u + 15. Let b be t(-3). Factor -b*p + p - 16*p**2 + 8*p**2 + g*p**2.
-2*p*(p + 1)
Let p(b) be the third derivative of -b**6/180 - 17*b**5/270 - b**4/12 + 5*b**3/27 + 3*b**2 - 527. Factor p(m).
-2*(m + 1)*(m + 5)*(3*m - 1)/9
Suppose 4*g = 3*w - 36, -5*w + 18*g + 46 = 16*g. Suppose 0 = 2*i - 4*j - 12, 4*i - 2 = -2*j - w. Factor 2/11*h**3 + 0*h - 2/11*h**2 + i.
2*h**2*(h - 1)/11
Factor -3/8*h**4 - 819/4*h**2 - 69*h**3 - 204*h - 543/8.
-3*(h + 1)**3*(h + 181)/8
Let h**3 + 3310*h - 6642*h - h**2 + 3312*h = 0. Calculate h.
-4, 0, 5
Let i(s) be the second derivative of -s**5/15 + 23*s**4/9 - 80*s**3/3 - 96*s**2 + 121*s + 4. Factor i(x).
-4*(x - 12)**2*(x + 1)/3
What is a in -72/7*a - 24/7*a**2 + 2/7*a**4 + 10/7*a**3 + 0 = 0?
-6, -2, 0, 3
Let s(l) be the first derivative of l**4 + 15*l**3 - 709*l**2/2 - 180*l + 14. Solve s(y) = 0.
-20, -1/4, 9
Solve -32/3 - 7/3*y**3 + 218/3*y**2 + 193/3*y = 0.
-1, 1/7, 32
Let u(a) be the third derivative of 32*a - 2*a**2 - 2/21*a**3 + 1/168*a**4 + 1/2352*a**8 - 2/735*a**7 - 1/420*a**6 + 0 + 2/105*a**5. Find z such that u(z) = 0.
-1, 1, 4
Factor -46/15*s**2 - 62/5*s - 8/15.
-2*(s + 4)*(23*s + 1)/15
Let m(y) be the first derivative of -3*y**4/32 + 185*y**3/4 - 4050. Factor m(t).
-3*t**2*(t - 370)/8
Let 4*g**3 + 2/5*g**5 + 18/5*g**4 - 832/5*g - 48*g**2 - 768/5 = 0. Calculate g.
-4, -3, -2, 4
Suppose -3*l + 17 = 23. Let k be (-30)/(-20) + (-3)/l. What is r in -r**k + 2*r**2 - r**2 + 5*r + 34 - 31 = 0?
-1, 3
Let o(k) be the second derivative of -3*k**7/70 + 122*k**6/25 - 3837*k**5/25 + 304*k**4 + 640*k**3 + 222*k - 2. Suppose o(l) = 0. Calculate l.
-2/3, 0, 2, 40
Let x be 2/(-16) - (-8943)/1848*(-7 + 8). Factor 3/7*b**2 - x*b + 0.
3*b*(b - 11)/7
Let a(t) be the first derivative of 1/6*t**3 - 70 + 11/4*t**2 + 15*t. Find h such that a(h) = 0.
-6, -5
Suppose 11008/13*p + 1632/13*p**2 + 100/13*p**3 + 2048 + 2/13*p**4 = 0. Calculate p.
-26, -8
Let g(p) be the third derivative of -p**5/360 - 233*p**4/144 - 95*p**3/3 - 1541*p**2 - 2*p. What is h in g(h) = 0?
-228, -5
Suppose -18 = -3*o + b, -4*o - 2*b = -12 - 2. Solve -266*m**4 + 13*m**3 - m**o + 266*m**4 - m**3 + 16*m**2 = 0 for m.
-2, 0, 4
Let a be (5 + 34/(-8))/(1/20). Let l = 8 + a. Determine o so that l - 3*o**2 - 26 + 4*o + 2*o = 0.
1
Let l be (-24846)/(-32595) - (642/(-159) - -4). Solve 1/5*u**2 - u + l = 0.
1, 4
Let m(w) be the first derivative of -11*w**4/12 - 53*w**3/9 + 82*w**2/3 - 28*w/3 + 4813. Solve m(v) = 0.
-7, 2/11, 2
Let y(d) be the second derivative of -29*d**4 - 1 - 1/5*d**5 - 3698*d**2 - 1290*d**3 + 144*d. Factor y(p).
-4*(p + 1)*(p + 43)**2
Let -10092/5 + 1786/5*o**2 + 2/5*o**4 + 118/5*o**3 + 986/5*o = 0. Calculate o.
-29, -3, 2
Let b(p) be the third derivative of -p**5/20 + 409*p**4 - 1338248*p**3 + 37*p**2 - 16. Factor b(m).
-3*(m - 1636)**2
Suppose 157 = 21*h + 157. Let f be 7 - 112/21 - h. What is r in 5/3*r**3 - f*r - r**2 - 1/3*r**4 + 4/3 = 0?
-1, 1, 4
Factor -1287913472/7*v - 4352/7*v**3 + 3551232/7*v**2 + 175156232192/7 + 2/7*v**4.
2*(v - 544)**4/7
Let v(o) = 220*o. Let b be v(0). Let s(d) be the second derivative of b + 1/10*d**2 - 18*d - 1/60*d**4 + 0*d**3. Let s(t) = 0. What is t?
-1, 1
Let d(x) be the second derivative of x**7/420 + 7*x**6/60 - 3*x**5/100 - 109*x**4/60 - 283*x**3/60 - 21*x**2/4 - 8*x + 13. Let d(g) = 0. What is g?
-35, -1, 3
Let u(s) be the third derivative of -s**5/20 + 49*s**4/8 + 165*s**3 - 1265*s**2. Factor u(z).
-3*(z - 55)*(z + 6)
Let m(b) = -b**2 - 18*b - 18. Let y(t) be the first derivative of t**2/2 + 3*t - 76. Let p(c) = -m(c) - 6*y(c). Let p(k) = 0. What is k?
-12, 0
Suppose -4*x + 16 = 0, 0 = -0*i + i - 5*x - 634. Let g = i - 654. Suppose g - 10/7*c**2 + 4/7*c = 0. Calculate c.
0, 2/5
Let q = -2/557047 + 1114108/3899329. Suppose q*p**4 - 6/7*p**3 - 18/7*p**2 + 0 - 10/7*p = 0. Calculate p.
-1, 0, 5
Solve 162450*q + 683/8*q**3 - 12939/2*q**2 - 3/8*q**4 + 54872 = 0 for q.
-1/3, 76
Suppose -2 + 2 = -96*c + 9*c. Let i(n) be the third derivative of 0*n + 0*n**4 - 10*n**2 + 5/9*n**3 - 1/72*n**5 + c. Suppose i(k) = 0. Calculate k.
-2, 2
Let u(t) be the third derivative of 9/40*t**5 - 1/80*t**6 - 179*t**2 + 0*t - 27/16*t**4 + 0 + 27/4*t**3. Suppose u(n) = 0. What is n?
3
Let s(z) = -z**3 - z**2 + 16*z - 9. Let b be s(-5). Factor 2*l**2 - 6 - 5*l**2 + b + 13 - 3*l.
-3*(l - 2)*(l + 3)
Suppose -16/9*v**4 + 2/3*v**3 + 8/3*v**2 + 0 - 2/3*v**5 - 8/9*v = 0. What is v?
-2, 0, 1/3, 1
Let k(m) be the first derivative of m**5 - 105*m**4/4 + 550*m**3/3 - 420*m**2 + 5012. What is d in k(d) = 0?
0, 3, 4, 14
Suppose 0 = -5*u + r + 5, -2*u - 12 - 8 = 4*r. Let w(f) be the second derivative of 1/210*f**5 + 0*f**3 + 0 - 10*f + u*f**2 + 0*f**4. Find j such that w(j) = 0.
0
Let w(p) be the first derivative of p**6/10 + 3*p**5/5 - 19*p**4/4 + 7*p**3 + 116*p + 120. Let z(k) be the first derivative of w(k). Let z(j) = 0. Calculate j.
-7, 0, 1, 2
Suppose 2108*m - 2134*m = 0. Let w(x) be the third derivative of 1/140*x**6 + 1/735*x**7 + m + 3*x**2 + 0*x**3 + 0*x - 1/21*x**4 + 0*x**5. Solve w(d) = 0 for d.
-2, 0, 1
Let m be 3696/5775 + (-6)/25. Let u be 1/(0 + (-3)/(-6)). Factor -2/5*s**u + m*s + 12/5.
-2*(s - 3)*(s + 2)/5
Let u(s) be the third derivative of -165 - 13/168*s**4 + 1/84*s**5 + s**2 + 1/840*s**6 + 1/6*s**3 + 0*s. Factor u(p).
(p - 1)**2*(p + 7)/7
Let m(x) = 8*x**2 - 26*x - 28. Let k(p) be the third derivative of p**5/60 + p**4/6 - p**2 - 22*p. Let v(d) = -4*k(d) - m(d). Determine j, given that v(j) = 0.
-7/6, 2
Suppose 35 = -7*u + 63. Let o(g) be the first derivative of 1/26*g**u + 48/13*g**2 + 128/1