a**3 + 8155185 + 392*a**2 + 195075*a - 145*a**3 + 8426190.
(a + 255)**3
Let t be ((-190)/(-57))/((-30)/(-6)). Let u(q) be the first derivative of -t*q**3 - 4*q**2 + 7 + 10*q. What is z in u(z) = 0?
-5, 1
Let i be ((-432)/45)/((-6)/(-15))*1/(-15). Let i + 2/5*b**2 + 2*b = 0. What is b?
-4, -1
Let k(t) be the first derivative of t**7/70 - 7*t**5/20 + 3*t**4/4 - 2*t**2 + 4*t + 25. Let j(m) be the second derivative of k(m). Factor j(g).
3*g*(g - 2)*(g - 1)*(g + 3)
Suppose -2/11*s**5 - 146/11*s**2 + 50/11*s**4 - 194/11*s**3 + 500/11*s + 400/11 = 0. Calculate s.
-1, 2, 5, 20
Solve 581 - 2*l**4 + 6929*l + 80*l**3 - 657*l - 302*l**3 - 6048*l**2 - 581 = 0.
-56, 0, 1
Let z(x) be the third derivative of -1/180*x**5 + 0*x**3 + 1/360*x**6 + 73 + 0*x + 0*x**4 - 2*x**2. Factor z(d).
d**2*(d - 1)/3
Let k(i) = -i**2 + 81*i - 450. Let x be k(6). Let g(d) be the third derivative of 0 - 7*d**2 + 1/270*d**5 + 0*d**3 - 1/54*d**4 + x*d. Factor g(r).
2*r*(r - 2)/9
Let k(m) be the third derivative of m**6/30 - 2*m**5/3 + 4*m**4/3 + 128*m**3/3 + 933*m**2. Factor k(v).
4*(v - 8)*(v - 4)*(v + 2)
Suppose 2801 = 5*g + 4*r - 2311, -g = -4*r - 1008. Let v = g + -580. Factor 118 - 4*l**5 + 300*l - 60*l**4 + 101 - 296*l**3 + 281 - v*l**2.
-4*(l - 1)*(l + 1)*(l + 5)**3
Let n be (-752)/(-36) - (-32)/288 - 18. Factor 2*z**2 - 10/9*z**n - 14/9*z + 4/9 + 2/9*z**4.
2*(z - 2)*(z - 1)**3/9
Solve 589*i**2 + 1935*i**3 - 300*i**2 - 5*i**4 + 814*i**2 + 837*i**2 = 0.
-1, 0, 388
Let t = -540 - -530. Let p be 0 + (2 - 0) - (9 + t). Factor 25/2*x + 0 + 5*x**2 + 1/2*x**p.
x*(x + 5)**2/2
Let s(c) = -c**3 - 2*c**2 + 5*c. Let d(l) = -13*l**3 + 25*l**2 + 20*l. Let u(f) = -d(f) + 6*s(f). Find h, given that u(h) = 0.
0, 2/7, 5
Let m be -9*2*5/(-45). Suppose -m*r**4 - 6*r**3 + 2*r**2 - 2*r**3 + 6885*r - 6877*r = 0. Calculate r.
-4, -1, 0, 1
Let 5/4*s**4 + 28*s**2 - 57/4*s**3 - 9*s + 0 = 0. Calculate s.
0, 2/5, 2, 9
Factor -497*v + 241*v - 730*v + v**2 - 189*v - 1180 + 4*v**2.
5*(v - 236)*(v + 1)
Let f(g) = -g**2 - 482*g + 40515. Let w be f(73). What is d in 2/13 + w*d - 2/13*d**2 = 0?
-1, 1
Let 118*o**2 - 284*o + 424*o - 77*o**3 + 10*o**2 - 27*o**3 - 36*o**5 - 152*o**4 + 24 = 0. Calculate o.
-3, -1, -2/9, 1
Suppose g + 37 + 5 = 0. Let i be ((-8)/10)/(532/g + 12). Factor -4/5 - i*n - 2/5*n**2.
-2*(n + 1)*(n + 2)/5
Suppose 0*p + 4 = p. Suppose -p*s + s + 18 = 0. Let -3*a**3 + s*a**4 - 3*a**5 + 42 - 42 = 0. Calculate a.
0, 1
Let j be ((-8)/(-120))/(-9 + 2289/252). Suppose 16 + 48/5*b + j*b**2 = 0. Calculate b.
-10, -2
Let f = 169 + -163. Suppose -f*y + 7*y - 5 = 0. Determine x so that -6/13 - 42/13*x**2 + 42/13*x**3 - 34/13*x + 64/13*x**4 - 24/13*x**y = 0.
-1/2, -1/3, 1, 3
Let k = 143254/7 - 157223/7. Let y = 1999 + k. Factor -y*z**2 + 4/7 + 10/7*z.
-2*(3*z - 2)*(4*z + 1)/7
Let p(c) be the first derivative of -2*c**2 - 98 - 1/6*c**3 + 0*c. Solve p(y) = 0 for y.
-8, 0
Let a(x) be the first derivative of x**6/3 - 194*x**5 + 962*x**4 + 5254. What is g in a(g) = 0?
0, 4, 481
Let m(r) be the second derivative of -2/3*r**3 + 0*r**2 + 1/20*r**5 - 69*r + 1/3*r**4 + 0 - 1/30*r**6. Solve m(s) = 0 for s.
-2, 0, 1, 2
Let m(h) = -99 + 82*h + 2*h**2 + 17 + 0*h**2 + 18. Let t(z) = -z**2 - z - 3. Let v(f) = m(f) + 4*t(f). Let v(s) = 0. What is s?
1, 38
Let s(u) be the first derivative of u**8/84 - u**6/3 + 3*u**4/2 + 19*u**2/2 - 68. Let r(b) be the second derivative of s(b). Determine k so that r(k) = 0.
-3, -1, 0, 1, 3
Let h be (3/15 - 3/15)*(-80 - (11 + -92)). Factor h - 4/21*r - 10/21*r**2 + 2/3*r**3.
2*r*(r - 1)*(7*r + 2)/21
Let z(j) be the third derivative of 1/540*j**6 - 7/6*j**3 + 1/36*j**4 + 2*j**2 + 1/90*j**5 + 0 + 0*j. Let i(s) be the first derivative of z(s). Factor i(q).
2*(q + 1)**2/3
Let t be ((-10)/(-3))/(7/(-84)*-4). Let h(g) = -1285 + t*g**3 + 1285 - 9*g**2 - g**4. Let s(o) = o**3 - o**2. Let n(c) = -3*h(c) + 24*s(c). Factor n(a).
3*a**2*(a - 1)**2
Let w = 303977 + -303973. Suppose 8 + 4/9*r**w - 20/3*r + 4/3*r**3 - 28/9*r**2 = 0. Calculate r.
-3, 1, 2
Suppose 56 = 2*i + 48. Let -14*t**2 - 8 + 23*t**3 - 26*t - 21*t**3 - i + 2*t**4 = 0. What is t?
-2, -1, 3
Let i(c) be the first derivative of -2*c**5/15 - 9*c**4/2 + 334. Factor i(s).
-2*s**3*(s + 27)/3
Let r = 1936 + -1366. Let -717 + 405 - r + 84*i - 2*i**2 = 0. Calculate i.
21
Let h(o) be the third derivative of -3*o**6/320 + 11*o**5/48 + 127*o**4/64 - 15*o**3/8 + 3729*o**2. Factor h(x).
-(x - 15)*(x + 3)*(9*x - 2)/8
Let k(d) be the third derivative of d**7/1260 + d**6/20 + 209*d**5/360 + 29*d**4/24 - d**2 - 414*d + 1. What is x in k(x) = 0?
-29, -6, -1, 0
Suppose -4*x = 2*q - 68 + 30, -4*x + 58 = -2*q. Let a(d) be the first derivative of -7 - 10*d**2 - 4/3*d**3 - x*d + d**4. Factor a(m).
4*(m - 3)*(m + 1)**2
Let l(j) = 7*j**3 + 5*j**2 - j + 7. Let q(k) = 10*k**3 + 4*k**2 + 2*k + 8. Let s(u) = 4*l(u) - 3*q(u). Factor s(w).
-2*(w - 2)*(w - 1)**2
Let x(b) be the second derivative of -b**7/84 - b**6/12 - 3*b**5/40 + 5*b**4/24 + b**3/3 - 1283*b. Suppose x(w) = 0. What is w?
-4, -1, 0, 1
Let w(m) be the second derivative of -m**4/6 - 17*m**3 + 2106*m**2 - 12335*m. Let w(g) = 0. What is g?
-78, 27
Let x be 33/45 - (1 + 13/(-39)). Let m(q) be the first derivative of 8 - 3/10*q**2 + x*q**3 + 0*q. Solve m(s) = 0 for s.
0, 3
Let z = -36 - -31. Let y be z - -12 - (1 - -1 - -1). Determine p, given that -4*p**3 - 4*p**4 + 2*p**2 + 15*p**4 + 4*p - 10*p**y - 3 = 0.
-1, 1, 3
Let q(k) be the third derivative of -k**6/360 - k**5/12 - 7*k**4/8 + 4*k**3/3 + 142*k**2. Let t(u) be the first derivative of q(u). Factor t(z).
-(z + 3)*(z + 7)
Suppose 2*m + 3 = 3*m. Factor -1576*g**4 - 32 + 11*g + 69*g - 50*g**2 + 2*g**5 + 1586*g**4 - 6*g**3 - 4*g**m.
2*(g - 1)**3*(g + 4)**2
Let z be (407 + (-64)/8)/(0 - -1). Let s be ((-2)/(-28))/(38/z). Solve -1/4 + 3/4*o - s*o**2 + 1/4*o**3 = 0.
1
Let p = 72794 + -72792. Solve p*l**2 - l**3 + 1/2*l**5 + 1/2*l - 1 - l**4 = 0.
-1, 1, 2
Let u(a) = -306*a + 309. Let z(b) = -b**2 + 2*b. Let i(f) = u(f) - 3*z(f). Factor i(x).
3*(x - 103)*(x - 1)
Let q(f) be the first derivative of -14*f**5/65 + 10*f**4/13 + 6*f**3/13 - 18*f**2/13 - 1906. What is x in q(x) = 0?
-1, 0, 6/7, 3
Let n(m) = -m**3 + 81*m**2 + 385*m - 48282. Let y be n(78). Factor -4*r**3 + 4/3*r**5 + 0*r - 8/3*r**4 + y*r**2 + 0.
4*r**3*(r - 3)*(r + 1)/3
Let b(g) = 3*g**3 + g + 1. Let u(f) = -36*f**3 - 332*f**2 + 1584*f - 666. Let o(l) = -18*b(l) - u(l). Factor o(j).
-2*(j - 9)**2*(9*j - 4)
Let n(s) = -9*s - 25. Let h be n(-3). Factor -3*c**4 - 23*c**3 + 3*c**3 + 20*c - 10*c**2 - h*c**4 + 15.
-5*(c - 1)*(c + 1)**2*(c + 3)
Let y(n) be the first derivative of n**7/2520 - n**6/60 + 17*n**5/360 + 19*n**3/3 - 76. Let i(b) be the third derivative of y(b). What is t in i(t) = 0?
0, 1, 17
Factor 526/7*p**2 - 697/7*p + 174/7 - 3/7*p**3.
-(p - 174)*(p - 1)*(3*p - 1)/7
Solve -125*x**2 - 22*x**2 + 508*x - 12*x**3 - 460*x + 540 + 3*x**4 = 0.
-5, -2, 2, 9
Let l be (-728)/5 - (-8 - (-111)/15). Let r be (-1)/(-10)*3*l/(-348). Factor r*h**3 - 1/8 + 3/8*h - 3/8*h**2.
(h - 1)**3/8
Let j(f) be the second derivative of f**7/840 - f**6/480 - f**5/48 - f**4/32 - 13*f**2/2 + 81*f. Let w(t) be the first derivative of j(t). Factor w(q).
q*(q - 3)*(q + 1)**2/4
Let b(w) = 5*w**2 - 2845*w + 27950. Let l be b(10). Factor 8/9*g**4 + 0*g + l*g**2 - 4/9*g**3 - 4/9*g**5 + 0.
-4*g**3*(g - 1)**2/9
Let g = 7/33850 - -8459/16925. Factor -9/4*n**2 - 5/4*n**3 - g - 7/4*n - 1/4*n**4.
-(n + 1)**3*(n + 2)/4
Factor -13/5*v**4 - 336/5*v**2 - 1/5*v**5 + 0*v + 0 + 152/5*v**3.
-v**2*(v - 4)**2*(v + 21)/5
Determine l so that -94586 - 48298 - 273*l + 23*l**2 - 24*l**2 + 1029*l = 0.
378
Let p = 2 + 1. Let t(f) = -23*f**2 - 22*f - 3*f + 3578 - 5*f**3 - 3591. Let r(g) = 10*g**3 + 45*g**2 + 50*g + 25. Let w(i) = p*r(i) + 5*t(i). Solve w(d) = 0.
-2, -1
Let p(r) be the second derivative of -121*r**7/70 + 11*r**6/10 - r**5/5 + 37*r**2/2 + 63*r. Let i(n) be the first derivative of p(n). Factor i(f).
-3*f**2*(11*f - 2)**2
Let j(p) = -p**3 + 177*p**2 + 169*p + 1604. Let r be j(178). Solve 3/7*h**4 - 30/7 + 3*h + 27/7*h**r - 3*h**3 = 0.
-1, 1, 2, 5
Let o(g) be the third derivative of -g**6/60 - 17*g**5/30 + 3*g**4/2 + 2*g**2 - 1446*g. Factor o(v).
-2*v*(v - 1)*(v + 18)
Factor 41/6*k**2 + 1/3*k**3 + 61/3*k + 17/2.
(k + 3)*(k + 17)*(2*k + 1)/6
