*3 - 3*u**3 + 5*u**y = 0. What is u?
-2, 0, 1
Factor 22/15*s + 68/5 - 2/15*s**2.
-2*(s - 17)*(s + 6)/15
Let g be 54/(-2 + -4 + 5). Let s be (-189)/g*(0 + 12). Find i such that 4 - 15*i**2 + 32*i**3 + s*i - 18*i - 45*i**2 = 0.
-1/8, 1
Let z(j) = -23*j**2 - 280*j - 3944. Let c(u) = -26*u**2 - 280*u - 3948. Let b(y) = -6*c(y) + 7*z(y). Let b(a) = 0. Calculate a.
-28
Let j(u) be the third derivative of u**8/336 + 11*u**7/210 + 3*u**6/10 + 8*u**5/15 - 4*u**4/3 - 8*u**3 + 25*u**2 + 28*u - 1. Factor j(m).
(m - 1)*(m + 2)**3*(m + 6)
Let q(j) be the first derivative of -16*j**3/3 + 47*j**2 + 252*j + 9746. Factor q(n).
-2*(n + 2)*(8*n - 63)
Let l(r) be the second derivative of -256*r**2 - 1/6*r**4 - 105 - 32/3*r**3 + 2*r. Factor l(v).
-2*(v + 16)**2
Let u be (-59592)/36 + -4 - (-2)/(-3). Let l = u - -3365/2. What is a in -l*a**3 + 0 - 25*a**4 - 27/4*a + 27*a**2 + 125/4*a**5 = 0?
-1, 0, 3/5
Let d(i) be the second derivative of -i**5/10 - 25*i**4/3 - 31*i**3 + 144*i**2 + 285*i - 8. Suppose d(j) = 0. Calculate j.
-48, -3, 1
Solve 93*u - 5210 + 3*u**4 + 9*u**2 - 21*u**3 + 10498 - 5228 = 0.
-1, 4, 5
Let m be ((-2916)/(-15))/(108/360). Let w be 3*(-2)/(-2) - 936/m. Let 0 + w*h**4 - 10/3*h**3 - 8/9*h + 26/9*h**2 - 2/9*h**5 = 0. What is h?
0, 1, 4
Let j(g) be the second derivative of g**5/100 - g**4/20 - g**3/30 + 3*g**2/10 + 4*g - 74. Factor j(x).
(x - 3)*(x - 1)*(x + 1)/5
Suppose 1028 + 421 = 21*i. Determine j so that -8 + 20*j**2 + 68*j + 20*j**3 + 33*j**5 - 26*j**2 + 82*j**4 - 120*j**2 - i*j**3 = 0.
-2, 2/11, 1/3, 1
Let -1/5*r**2 + 1512/5 + 114/5*r = 0. What is r?
-12, 126
Let q = 184 - 181. Factor 60 + 40*j + 20 + 14*j**3 - 35*j**2 - 9*j**q.
5*(j - 4)**2*(j + 1)
Let t be (-3)/2*((-21056)/(-36))/(-4). Let l = t + -218. Solve l*r + 2/3*r**5 + 14/3*r**2 + 0 + 10/3*r**4 + 6*r**3 = 0.
-2, -1, 0
Factor -572*i**2 + 3*i**3 + 2014*i**2 + 2988 - 2939*i**2 + 1488*i.
3*(i - 498)*(i - 2)*(i + 1)
Let k(d) be the third derivative of -d**7/280 - 43*d**6/160 - 693*d**5/80 - 4961*d**4/32 - 6655*d**3/4 + 1661*d**2. Let k(l) = 0. Calculate l.
-11, -10
Factor -3/2*o**4 + 28960854*o - 257049*o**2 + 1014*o**3 - 2447192163/2.
-3*(o - 169)**4/2
Let u(w) be the first derivative of w**4/5 + 28*w**3/15 - 12*w**2 - 196. Suppose u(r) = 0. Calculate r.
-10, 0, 3
Let p(s) be the first derivative of -5*s**3/6 + 123*s**2/2 + 100*s - 1905. Suppose p(f) = 0. Calculate f.
-4/5, 50
Let v = 96 + -56. Suppose -42*a + 6 = -v*a. Let -2*t**5 + 5*t**4 - 4*t + 0*t**5 + 3*t**a + 3*t**5 - 3*t**2 - 2*t**2 = 0. What is t?
-4, -1, 0, 1
Let a(n) be the third derivative of 0*n**4 + 0*n**3 + 5*n**2 + 1/1344*n**8 + 0*n**7 + 0*n - 1/160*n**6 + 0 - 1/120*n**5. Factor a(v).
v**2*(v - 2)*(v + 1)**2/4
Let a(k) = 32 + 1192*k + 3*k**2 - 1137*k - 14. Let q be a(-18). Factor -11/2*b**2 + 3*b + q - 1/2*b**4 + 3*b**3.
-b*(b - 3)*(b - 2)*(b - 1)/2
Let h(v) = -536*v - 2677. Let f be h(-5). Let z(k) be the second derivative of -1/30*k**6 + 0*k**2 - 1/8*k**4 + 0 - 23*k + 9/80*k**5 + 1/24*k**f. Factor z(c).
-c*(c - 1)**2*(4*c - 1)/4
Suppose -6*t + 9*t + 2*g = 0, 3*t = -5*g. Find z, given that 67*z**4 - 6*z + 16*z**2 - 18*z + 12*z**2 + t*z - 71*z**4 = 0.
-3, 0, 1, 2
Let a be 1370/(-10275)*30/(-2). Factor 10/3*l**a + 94/9*l + 4/3.
2*(l + 3)*(15*l + 2)/9
Let t(x) = 56*x**2 - 15*x + 11. Let q be t(1). Let j be (1 - 6) + 338/q. Factor -3*g**4 - 15/2*g - 27/2*g**2 - 21/2*g**3 - j.
-3*(g + 1)**3*(2*g + 1)/2
Let n(r) be the first derivative of -2 + 1/10*r**5 + 0*r - 7/8*r**4 + 7/3*r**3 - 2*r**2. Factor n(w).
w*(w - 4)*(w - 2)*(w - 1)/2
Suppose -6*r + 47 = -1. Factor -r*g**4 + 15*g**2 + 12*g**4 + 11*g**4 + 10*g - 40*g**3.
5*g*(g - 2)*(g - 1)*(3*g + 1)
Let l = -736725/2 - -1841816/5. Determine u, given that -16/5*u + 3/5*u**2 + l*u**3 + 1/10*u**4 - 16/5 = 0.
-4, -1, 2
Let c be ((-104)/(-7))/((-880)/(-220)). Factor -2/7*h**2 + 4 + c*h.
-2*(h - 14)*(h + 1)/7
Suppose 10*x - 411894 = -411864. Solve 8/9*j - 1/9*j**x - 5/9*j**2 + 4/3 = 0.
-6, -1, 2
Let r(h) be the third derivative of -1/15*h**5 + 0 + 4*h**4 - 96*h**3 + 38*h**2 + 0*h. Determine b, given that r(b) = 0.
12
Find a, given that -764/17*a**3 - 9234/17*a + 64/17*a**4 + 4104/17*a**2 - 2/17*a**5 + 5832/17 = 0.
1, 4, 9
Let l(u) = 4*u**2 + 8*u + 11. Let v(z) = -z**2 + z - 1. Let n(g) = -l(g) - 3*v(g). Let j be n(-9). What is t in -2*t**2 + j*t**3 + 7*t - 9*t**3 - 6*t = 0?
0, 1
Let w = 262 - 125. Let q = -134 + w. Factor 4 - 624*r**4 + 622*r**4 - 8*r + 8*r**q + 2 - 4*r**2.
-2*(r - 3)*(r - 1)**2*(r + 1)
Let w be -27 + ((-308691)/(-74))/103. Determine u, given that -15/2*u**4 - 3/2*u**5 - 21/2*u**2 - w*u**3 + 0 - 3*u = 0.
-2, -1, 0
Suppose -2*p = 3*p - 15. Let m(a) = -a**2 + 2. Let r be m(0). Factor 13*f**r + 16*f**3 + 8*f**2 - 5*f**2 + 8 - 12*f**p + 20*f.
4*(f + 1)**2*(f + 2)
Factor 1/2*t**4 + 6*t**3 + 30*t + 23*t**2 + 25/2.
(t + 1)**2*(t + 5)**2/2
Let a(o) = 3*o**3 + o - 2. Let c(t) = -4*t**3 - 115*t**2 - 3803*t - 21494. Let l(k) = 3*a(k) + c(k). Factor l(i).
5*(i - 43)*(i + 10)**2
Suppose -5*m = -x + 95, 3*m + 4*x - 110 = 8*m. Let k be m/(-297)*3 - (-170)/33. Factor k*j**3 - 1/3 - 5/3*j**4 - 6*j**2 + 8/3*j.
-(j - 1)**3*(5*j - 1)/3
Let p = 4667/4 - 51313/44. Let b(v) = -2*v + 26. Let w be b(11). Determine g so that 0 + 6/11*g**5 - p*g**2 - 18/11*g**w + 0*g + 18/11*g**3 = 0.
0, 1
Let n = 419113/10 - 41911. Let h(u) be the third derivative of n*u**6 + 5/3*u**5 + 2*u**4 - 9*u - 8/3*u**3 - 2*u**2 + 0. Factor h(a).
4*(a + 1)*(a + 2)*(9*a - 2)
Let a be (5*(15 + 6336/(-420)))/((-6)/80). Factor 432/7 + a*o**4 + 900/7*o**2 + 2/7*o**5 + 290/7*o**3 + 1080/7*o.
2*(o + 1)**2*(o + 6)**3/7
Factor -895*z**4 - 5*z**5 - 905*z**2 - 19137*z + 19137*z + 1805*z**3.
-5*z**2*(z - 1)**2*(z + 181)
Suppose 5*w = -3*q - 3 + 8, -2*q = 0. Let c be -13*(-6)/(-24)*-1. Factor -w - 3/4*n**2 + c*n.
-(n - 4)*(3*n - 1)/4
Let f(v) = -2*v**3 - v**2 + v + 4. Let y(q) = -20*q**3 + 205*q**2 + 225*q + 36. Let r(t) = -9*f(t) + y(t). Factor r(i).
-2*i*(i - 108)*(i + 1)
Solve -4/7*k**4 + 4*k**2 - 10/7*k - 24/7 + 10/7*k**3 = 0 for k.
-3/2, -1, 1, 4
Factor 210/11*z**2 + 246/11*z + 36/11.
6*(z + 1)*(35*z + 6)/11
Let i(t) be the first derivative of t**7/3780 - t**6/324 + t**5/90 - 178*t**3/3 - 190. Let m(u) be the third derivative of i(u). Factor m(r).
2*r*(r - 3)*(r - 2)/9
Let q(p) = 49*p + 493. Let j be q(-10). Suppose -5*x - n + 19 = 0, 0 = 5*x + n - j*n - 7. Determine g, given that 5/2*g**x - 6*g - 14*g**2 + 0 = 0.
-2/5, 0, 6
Let a be ((-15)/(-10))/(3/4). Let w be 10 - -1 - (10 + -1). Factor 15*g - a*g**2 + 4*g**2 + 10 + 3*g**w.
5*(g + 1)*(g + 2)
Let d(i) = -i + 5. Let r be d(13). Let a be (-3120)/(-3549) - r/(-14). What is p in 8/13*p**2 + 2/13*p**3 + a + 10/13*p = 0?
-2, -1
Let b(a) be the first derivative of -2*a**3/15 - 7*a**2/5 - 12*a/5 - 258. Factor b(r).
-2*(r + 1)*(r + 6)/5
Let b be 0/(-1) + 0/(9 - -4). Suppose 5*n + 4*h + h = 20, b = -3*h. Factor s + 7/2*s**3 - 7/2*s**2 + 0 - s**n.
-s*(s - 2)*(s - 1)*(2*s - 1)/2
Let s(x) be the third derivative of -x**7/2100 + x**6/50 - 3*x**5/40 + 11*x**4/120 - 1033*x**2. Factor s(b).
-b*(b - 22)*(b - 1)**2/10
Let z(u) = -11*u**3 + 335*u**2 - 682*u - 24. Let o(n) = -15*n**3 + 446*n**2 - 909*n - 33. Let c(j) = 8*o(j) - 11*z(j). Suppose c(i) = 0. Calculate i.
0, 2, 115
Factor -2981*r**3 - 1344*r**2 + 1489*r**3 + 1488*r**3 - 1336 - 2676*r.
-4*(r + 1)**2*(r + 334)
Let c(t) be the second derivative of -t**6/70 - 1257*t**5/140 + 841*t**4/28 - 421*t**3/14 + 4519*t. Factor c(r).
-3*r*(r - 1)**2*(r + 421)/7
Let o(m) be the first derivative of -m**4/10 + 30*m**3 - 447*m**2/5 + 446*m/5 + 141. Solve o(z) = 0.
1, 223
Let c(n) = -n**3 - 19*n**2 - 16*n + 147. Let h be c(-18). Solve 46*j**3 + 289*j**2 - h*j**2 - 116*j - 113*j**3 + 61*j**3 = 0 for j.
0, 2/3, 29
Let h(s) = 31*s - 23*s + 7*s**2 + s**3 + 0*s**2 + 15 + 0*s**2. Let n be h(-6). Factor -2/7*q**n - 2/7*q**2 + 0*q + 0.
-2*q**2*(q + 1)/7
Factor -32733 - 37*v**2 + 705*v + 115*v**2 + v**3 + 34433.
(v + 5)**2*(v + 68)
Factor 6*f + 7*f**3 + 1/2*f**4 + 25/2*f**2 + 0.
f*(f + 1)**2*(f + 12)/2
Let r(p) be the second derivative of -1/120*p**6 - 2 + 7/24*p**4 + 11/24*p**3 - 11*p + 3/40*p**5 + 3/8*p**2 - 1/168*p**7. Factor r(k).
-(k - 3)*(k + 1)**4/4
Let r(q) = q - 11. Let h(u) = u**2 - 3889*u + 3786883. Let l(x) = h(x) - 3*r(x). Solve l(n) = 0.
1946
Let