8 - 41*j**2 = 0. Calculate j.
-5, 8/11, 1, 2
Let n = -12 - -16. Suppose 2*u - n = -0. Factor -9 + 0 + 56*w**u - 59*w**2 - 12*w.
-3*(w + 1)*(w + 3)
Let y(n) be the third derivative of n**7/1470 + 37*n**6/280 - n**5/35 - 337*n**4/42 - 296*n**3/7 + 9388*n**2. Suppose y(b) = 0. What is b?
-111, -2, 4
Let x be -4 + 0 + 9 + 4. Let p(g) = g - 6. Let l be p(x). Factor -7*b**l + 5*b**3 - 5*b**4 + 5*b**2 - 8*b**3 + 10*b.
-5*b*(b - 1)*(b + 1)*(b + 2)
Let u(x) = -7*x**4 + 56*x**3 - 117*x**2 - 152*x. Let b(f) = -13*f**4 + 110*f**3 - 231*f**2 - 305*f. Let z(o) = 4*b(o) - 7*u(o). Factor z(r).
-3*r*(r - 13)*(r - 4)*(r + 1)
Find m, given that -2*m**2 + 134 - 47352*m + 5*m**2 - 5*m**2 - 47251*m + 94471*m = 0.
-67, 1
Let l(x) be the first derivative of -x**3/12 - 329*x**2/8 + 2287. Factor l(c).
-c*(c + 329)/4
Let u(b) be the second derivative of -b**6/210 - 9*b**5/140 - 17*b**4/84 + 3*b**3/14 + 9*b**2/7 - 6*b + 1. Suppose u(g) = 0. What is g?
-6, -3, -1, 1
Let d = 126 + -127. Let c be 112/(-896) - -1*d/(-2). Solve c*y**5 - 5/8*y**3 + y**4 + 0*y - 3/4*y**2 + 0 = 0.
-3, -2/3, 0, 1
Let u = -786 - -786. Suppose -9*z + 10*z + 15 = 3*r, u = r - 4*z - 16. Let 2/9*b**5 + 0*b**r - 4/9 + 2/3*b - 8/9*b**3 + 4/9*b**2 = 0. Calculate b.
-2, -1, 1
Let v(g) be the second derivative of -g**8/30240 - g**7/3780 + g**6/135 + 4*g**5/27 + 14*g**4 + 251*g. Let p(u) be the third derivative of v(u). Factor p(x).
-2*(x - 5)*(x + 4)**2/9
Factor 4*m**4 + 900*m**3 + 1181*m - 427 + 1551*m - 2724*m**2 - 485.
4*(m - 1)**3*(m + 228)
Let u(q) be the second derivative of -q**8/1176 + q**7/735 + q**6/420 - q**5/210 - 46*q**2 - 112*q. Let i(s) be the first derivative of u(s). Factor i(a).
-2*a**2*(a - 1)**2*(a + 1)/7
Suppose 6*o + 10 = 8*o. Let -19 - 16 - o - 21*k - 5*k**2 - 9*k = 0. Calculate k.
-4, -2
Let t be 25900/9250*(-10)/(-21). Let -47/3*y**2 - t*y**5 + 55/3*y**3 + 11/3*y**4 + 0 - 5*y = 0. Calculate y.
-3, -1/4, 0, 1, 5
Let h be 4/(-5)*(-30)/12. Let v(l) be the third derivative of 8*l**h + 7/108*l**4 + 0 - 1/135*l**5 - 1/9*l**3 + 0*l. Suppose v(f) = 0. Calculate f.
1/2, 3
Let 74*u - 15 + 5199*u**2 - 9 - 4761*u**2 = 0. What is u?
-1/3, 12/73
Suppose 0 = 192*z - 186*z - 2436. Let s = 406 - z. Factor -12/5*u - 2/5*u**2 + 2/5*u**3 + s.
2*u*(u - 3)*(u + 2)/5
Let p be (6/(-24))/(3/348)*-1. Let 33*d**2 + 15*d**2 - p*d**2 + 4*d**3 + 22 - 29*d - 16 = 0. What is d?
-6, 1/4, 1
Suppose 39 = -3*l, -5*y + 14*l + 17 = 18*l + 44. Find m such that 128/7 + 1856/7*m**2 - 1696/7*m**3 - 100/7*m**y + 680/7*m**4 - 832/7*m = 0.
2/5, 2
Let c(n) be the second derivative of n**6/45 - 11*n**5/30 + 19*n**4/9 - 40*n**3/9 + 353*n. Determine u so that c(u) = 0.
0, 2, 4, 5
Let h = -252 + 256. Factor 56*t - 8*t**2 - 183 + h*t**2 - 13.
-4*(t - 7)**2
Let n(u) = -4*u - 86. Let y be n(-22). Find k, given that -362*k**3 + 6912*k - 1464*k**y - 12*k**4 + 1387 - 230*k**3 - 5632*k**2 + 1113 - 1712*k = 0.
-25, -1/3, 1
Let x = 192170/7 - 2111308/77. Factor x + 6/11*b**2 - 372/11*b.
6*(b - 61)*(b - 1)/11
Let d(s) be the first derivative of -3/4*s**3 + 3/16*s**4 + 3/2*s - 11 - 3/8*s**2 + 3/20*s**5. Let d(x) = 0. What is x?
-2, -1, 1
Suppose 2*s - 7*s + 177 = -4*t, 0 = -3*t - 9. Suppose -v - 5*r + 7 = 0, -4*v + 3*v + 3 = r. Factor v*d + 2 + s*d**2 + 9*d**3 - 11 + 4*d + 9*d.
3*(d + 1)*(d + 3)*(3*d - 1)
Let x(c) be the third derivative of -c**5/60 - 5*c**4/6 - 14*c**3 - 12*c**2 - 37*c. Factor x(v).
-(v + 6)*(v + 14)
Let x(u) be the second derivative of -u**6/360 + u**5/90 + 5*u**4/72 - u**3/3 + 44*u**2 - 47*u. Let f(c) be the first derivative of x(c). What is m in f(m) = 0?
-2, 1, 3
Let p(t) be the third derivative of 0*t + 0*t**3 - 1/36*t**4 + 99*t**2 + 1/90*t**5 + 0 - 1/720*t**6. Factor p(d).
-d*(d - 2)**2/6
Let q(a) = 13*a**3 - 33*a**2 + 26*a - 6. Let d(w) = -24*w**3 + 65*w**2 - 53*w + 12. Let x be 34/(-170) + 14/(-5). Let c(n) = x*d(n) - 5*q(n). Factor c(t).
(t - 3)*(t - 1)*(7*t - 2)
Factor 20931*r + 61344*r**2 + 41277*r + 2*r**4 + r**4 - 17262*r**3 + 16401*r**3.
3*r*(r - 144)**2*(r + 1)
Let c = 706633/3 - 235544. What is h in 1/6*h**4 - c*h - 1/2*h**3 + 1/6*h**5 + 0 - 5/6*h**2 = 0?
-1, 0, 2
Let i(x) be the first derivative of 2*x**5/35 + 3*x**4/14 - 4*x**3/7 - 8*x**2/7 - 1350. Find j such that i(j) = 0.
-4, -1, 0, 2
Let q(w) be the second derivative of -4*w**2 + 0 + 1/10*w**5 - 1/2*w**4 - w + 4/3*w**3 - 1/120*w**6. Let j(g) be the first derivative of q(g). Factor j(p).
-(p - 2)**3
Let h be 54/(-4)*(3 + 26/(-6)). Suppose -2*s = 20*f - h*f - 8, -8*f + 17 = 3*s. Suppose -8/5*j**4 - 18/5*j**s + 18/5*j + 4/5 + 4/5*j**2 = 0. What is j?
-2, -1, -1/4, 1
Let u(q) = 5*q**2 - 7*q - 16. Let z be u(-2). Let y(k) be the second derivative of -1/3*k**3 + z*k + 1/6*k**4 + 0*k**2 + 0. Determine d so that y(d) = 0.
0, 1
Let x be ((-25500)/86600)/(6/(-16)). Let l = x - -437362/2165. Factor -l*a + 78/5*a**2 - 2/5*a**3 + 4394/5.
-2*(a - 13)**3/5
Let u(c) be the first derivative of c**4/4 + 302*c**3 + 205209*c**2/2 - 1950. Solve u(a) = 0 for a.
-453, 0
Let h be (5*1)/(16/(123 - -5)). Let s be (h/25)/((-280)/(-900)). Factor s*r**3 + 4*r**2 + 20/7*r**4 + 8/7*r + 4/7*r**5 + 0.
4*r*(r + 1)**3*(r + 2)/7
Let d(k) be the second derivative of -2*k**5/5 + 359*k**4/6 - 2670*k**3 - 2025*k**2 + 1840*k. Determine u, given that d(u) = 0.
-1/4, 45
Let c(f) be the third derivative of f**5/15 + 512*f**4/3 + 682*f**3 - 6888*f**2. Suppose c(g) = 0. What is g?
-1023, -1
Let x = -4171993/4 + 1043001. Factor -7/4*a**2 - 5/4 + x*a + 1/4*a**3.
(a - 5)*(a - 1)**2/4
Let c(h) be the second derivative of h**5/70 + h**4/14 - 4*h**3/21 + 1683*h. Factor c(y).
2*y*(y - 1)*(y + 4)/7
Let s be (-35)/(-10) + -5 + -24 + 110/4. Suppose 0*q - 1/5*q**s + 0 = 0. What is q?
0
Let h(u) be the second derivative of -u**5/120 - 85*u**4/8 - 12224*u**3/3 - 36481*u**2/3 - u + 893. Factor h(o).
-(o + 1)*(o + 382)**2/6
Let q = 177/8 - 1769/80. Let f(i) be the third derivative of 0*i + 0 - 3/32*i**4 + 1/4*i**3 + q*i**5 + 21*i**2. Solve f(y) = 0.
1, 2
Suppose c - 3*c = -w + 64, -5*c - 124 = -2*w. Let f(k) = -k**3 - 11*k**2 - 15*k - 47. Let a be f(-10). Factor w*m**3 - 2 - a*m - 79*m**3 + 4*m**2 + 8*m**2.
-(m - 1)**2*(7*m + 2)
Let f(t) = -27*t**4 + 6*t**3 + 243*t**2 - 285*t + 36. Let h(r) = -14*r**4 + 3*r**3 + 122*r**2 - 142*r + 16. Let n(a) = 5*f(a) - 9*h(a). Let n(m) = 0. What is m?
-4, 1/3, 1, 3
Let u(r) be the third derivative of -399/8*r**4 + 441*r**3 - 5*r**2 + 0*r - 2 - 34/5*r**5 + 1/112*r**8 - 9/35*r**7 + 51/20*r**6. Find v, given that u(v) = 0.
-2, 3, 7
Let d(f) be the second derivative of f**6/10 - 39*f**5/10 + 69*f**4/4 + 2*f**3 - 138*f**2 + 2703*f. Factor d(s).
3*(s - 23)*(s - 2)**2*(s + 1)
Let p(w) be the second derivative of w**6/360 + w**5/40 + w**4/12 + 17*w**3/3 - 2*w - 34. Let x(a) be the second derivative of p(a). Solve x(t) = 0.
-2, -1
Determine p so that -10*p**2 + 33*p**2 + 29*p**2 - 165*p + 90 + 50*p**3 - 12*p**2 - 10*p**4 - 5*p**5 = 0.
-3, 1, 2
Let n = 21357/137215 - 19/10555. Let 2*u**4 + 190/13*u**2 + n*u**5 + 100/13*u + 0 + 114/13*u**3 = 0. What is u?
-5, -2, -1, 0
Let v(n) = -n**2 - 22*n + 22. Let p be v(-22). Suppose -o + p + 49*o**2 - 28 + 43*o + 15 = 0. Calculate o.
-3/7
Let p = 13160/10967 - -2/54835. Let -p*t + 3*t**2 - 3/5*t**3 - 24/5 = 0. What is t?
-1, 2, 4
Suppose m - 379 = -2*y, 5*m - 2*m = 5*y + 1159. Let d = 385 - m. Determine l, given that l + 4/5 + 1/5*l**d = 0.
-4, -1
Let u = 10752 + -48399/4. Let v = u + 1349. Suppose 0 - 15/4*r**2 - 5/2*r - v*r**3 = 0. What is r?
-2, -1, 0
Suppose -2*j = 4*a - 927 - 811, 3*j - 1311 = -3*a. Let u be 720/a + (-8)/6. Find y such that 0 + y + u*y**4 + 1/3*y**3 - 5/3*y**2 = 0.
-3, 0, 1
Let v = -60260 - -60262. Factor 52/7*w + 338/7 + 2/7*w**v.
2*(w + 13)**2/7
Suppose 6*t + 12 - 168 = 0. Suppose -t*u = -u - 50. Let -2/15*y**5 - 4/15*y**4 + 2/15*y + 0 + 0*y**3 + 4/15*y**u = 0. What is y?
-1, 0, 1
Let w(h) be the first derivative of -2*h**5/55 + 7*h**4/22 - 4*h**3/33 - 64*h**2/11 + 192*h/11 + 1030. Let w(a) = 0. Calculate a.
-3, 2, 4
Let m be 11*18/(-234)*(2 - (-171)/(-66)). Let -3*h**4 + 7*h**3 - 8*h**2 - 1 + m*h**5 + 9/2*h = 0. What is h?
1, 2
Let w = -808 - -812. Let t be (-130 - -129)/((-7)/w). Determine x, given that -t*x**2 + 0 + 8/7*x = 0.
0, 2
Suppose 0 = 2*g - 5*v - 5, 2*g + 15*g + 5*v - 90 = 0. Determine h, given that -1944/1