n l(j) = 0?
0
Factor -6633*d**3 + 3555*d**3 + 368 + 868*d**2 + 3436*d**3 + 936*d + 60*d**4 + 2*d**5.
2*(d + 1)*(d + 2)**3*(d + 23)
Let 16/15 + 14/15*s**2 + 12/5*s = 0. Calculate s.
-2, -4/7
Let t(w) = 40*w**2 + 155*w + 125. Let n(q) = -q**3 - 2*q**2 + 2*q + 5. Let g(i) = -5*n(i) + t(i). Factor g(j).
5*(j + 1)*(j + 4)*(j + 5)
Let j(u) be the first derivative of -2*u**3/3 + 20*u**2 + 682*u - 2318. Let j(d) = 0. Calculate d.
-11, 31
Suppose -1728 = -1794*h + 1218*h. Determine q, given that -6/5*q**5 + 3/5*q**4 - 3/5*q - 3/5*q**2 + 0 + 9/5*q**h = 0.
-1, -1/2, 0, 1
Let i(n) be the second derivative of -n**8/1344 + n**7/252 + n**6/36 - n**5/3 + 11*n**4/3 + 38*n. Let h(f) be the third derivative of i(f). Factor h(k).
-5*(k - 2)**2*(k + 2)
Let b(n) be the first derivative of n**3/3 - 58*n**2 + 555*n + 9257. Factor b(g).
(g - 111)*(g - 5)
Let c = 7254 + -7250. Let o(y) be the third derivative of 2/15*y**5 + 0*y + 0 + 3*y**3 - y**c - 30*y**2. Find d such that o(d) = 0.
3/2
Solve -2*y**3 - 15/2*y**2 + 0 + 9*y + 1/2*y**4 = 0.
-3, 0, 1, 6
Factor 585*r**2 + 96 + 75/4*r**3 - 477*r.
3*(r + 32)*(5*r - 2)**2/4
Let 3*a**4 + 1129 + 4*a**3 - 772*a**2 - 49*a**3 + 470*a**2 - 1090*a**2 - 7488*a - 7273 = 0. Calculate a.
-8, -1, 32
Let o(f) be the second derivative of f**3/6 + 7*f**2 + 7*f. Let t be o(0). Factor -3*r**2 + 6 + t*r**2 + 3*r**4 - 21*r + 16*r**2 - 15*r**3.
3*(r - 2)*(r - 1)**3
Let i(w) = w**4 + w**3 + w**2 - 1. Let o(z) = 3*z**5 + 66*z**4 - 15*z**3 - 228*z**2 - 144*z + 6. Let f(v) = -6*i(v) - o(v). Let f(c) = 0. What is c?
-24, -1, 0, 2
Let f(b) be the third derivative of b**7/70 + b**6/40 - 403*b**5/20 - 1201*b**4/8 - 399*b**3 - 4*b**2 + 57*b + 5. Solve f(x) = 0.
-19, -2, -1, 21
Let j(n) be the second derivative of -n**6/15 + 51*n**5/2 - 169*n**4/2 + 253*n**3/3 + 1831*n. Determine c so that j(c) = 0.
0, 1, 253
Let p(y) be the third derivative of -y**9/181440 - y**8/5040 + y**5/30 + 29*y**4/8 - 171*y**2. Let t(n) be the third derivative of p(n). Factor t(v).
-v**2*(v + 12)/3
Let s(k) be the first derivative of k**3/27 + 133*k**2/18 - 134*k/9 + 727. Factor s(l).
(l - 1)*(l + 134)/9
Let x(n) be the first derivative of n**8/336 - n**7/84 - n**6/18 + n**5/3 - 42*n**3 + 188. Let s(q) be the third derivative of x(q). Factor s(k).
5*k*(k - 2)**2*(k + 2)
What is d in 44/13*d**3 + 144/13*d**2 + 0 + 2/13*d**4 + 0*d = 0?
-18, -4, 0
Suppose 0 = -7*u - 2547 - 2577. Let k be (2/(-5))/(9 - u/(-80)). Factor 0 + 2*n**2 - k*n**3 + 2/3*n.
-2*n*(n - 1)*(4*n + 1)/3
Let i(j) = -4*j**2 - 78*j + 2272. Let u be i(16). Factor -2/5*k**3 + 0*k + 0*k**2 - 2/5*k**4 + u.
-2*k**3*(k + 1)/5
Let c(x) be the first derivative of 2*x**6/27 - 164*x**5/45 + 223*x**4/9 - 1868*x**3/27 + 848*x**2/9 - 560*x/9 + 2104. What is s in c(s) = 0?
1, 2, 35
Suppose -2*j + 32 = 4*p, -1067 = -2*p - 10*j - 979. Factor 3/4*z**3 + 0 + 3/4*z**p - 3/4*z - 3/4*z**2.
3*z*(z - 1)*(z + 1)**2/4
Let f(l) be the first derivative of l**9/9072 + l**8/5040 - l**7/1260 - 4*l**3 - l - 17. Let t(r) be the third derivative of f(r). Factor t(b).
b**3*(b - 1)*(b + 2)/3
Factor 2/9*n**2 - 724/9 - 722/9*n.
2*(n - 362)*(n + 1)/9
Let o(b) be the third derivative of -1/15*b**6 + 0*b - 19 + 1/1008*b**8 + 0*b**3 - 1/8*b**4 + 3*b**2 - 1/105*b**7 - 13/90*b**5. Factor o(a).
a*(a - 9)*(a + 1)**3/3
Suppose -1029 = -562*n + 271 + 386. Solve -20 + 16/5*l**2 - 2*l - 2/5*l**n = 0 for l.
-2, 5
Let y(m) = 5*m**4 - 250*m**3 + 3815*m**2 - 14155*m + 10580. Let f(t) = 5*t**4 - 251*t**3 + 3815*t**2 - 14153*t + 10580. Let w(o) = 5*f(o) - 4*y(o). Factor w(h).
5*(h - 23)**2*(h - 4)*(h - 1)
Let t = 74163 - 519121/7. Factor -2/3*o**2 - 16/21 - t*o.
-2*(o + 4)*(7*o + 2)/21
Let -248/13 - 2/13*n**3 + 122/13*n**2 + 128/13*n = 0. What is n?
-2, 1, 62
Let z = 4204 - 4204. Let s(a) be the first derivative of a**4 - 1/3*a**6 + 3 + 0*a + 0*a**2 + z*a**3 + 2/5*a**5. Suppose s(r) = 0. Calculate r.
-1, 0, 2
Let s(i) be the first derivative of 0*i**2 - 19/18*i**4 + 38/45*i**5 - 4/9*i**3 + 0*i - 96 - 4/27*i**6. Solve s(y) = 0.
-1/4, 0, 2, 3
Let p(g) = 2*g**4 - 18*g**3 + 274*g**2 + 322*g + 4. Let o(d) = -8*d**3 + d**2 + 2*d - 1. Let b(x) = -4*o(x) - p(x). What is m in b(m) = 0?
-1, 0, 11, 15
Factor 177*x - 1/10*x**2 - 156645/2.
-(x - 885)**2/10
Let p(a) be the third derivative of a**6/40 - 5*a**5/4 + 33*a**4/4 + 2*a**2 - 389*a. Let p(d) = 0. Calculate d.
0, 3, 22
Let i(r) be the third derivative of -r**8/112 + 33*r**7/140 + 57*r**6/80 - 13*r**5/10 - 9*r**4/4 + 2*r**2 + 202. Let i(z) = 0. Calculate z.
-2, -1/2, 0, 1, 18
Let q(y) be the first derivative of 4*y**5/5 + 27*y**4 + 104*y**3/3 - 2711. Factor q(o).
4*o**2*(o + 1)*(o + 26)
Let n(p) be the second derivative of -216*p**2 + 12*p**3 + 56*p - 2 - 1/4*p**4. Determine g, given that n(g) = 0.
12
Let v(n) = 3*n**3 - 13*n**2 - 87*n - 92. Let d(s) = 7*s**3 - 25*s**2 - 173*s - 180. Let u(q) = -6*d(q) + 10*v(q). Suppose u(z) = 0. Calculate z.
-2, -4/3, 5
Let y be ((-2)/(-3))/((-128)/576). Let t be (y/10)/(-2 + (-1)/(-2)). Suppose -t*d**2 + 0 - 3/5*d = 0. What is d?
-3, 0
Let h(m) be the first derivative of m**6/60 - 7*m**5/10 + 5*m**4/3 + m**2/2 - 15*m - 35. Let n(t) be the second derivative of h(t). Factor n(k).
2*k*(k - 20)*(k - 1)
Let n(u) = 3*u**2 - 21*u + 24. Let i(r) = 12 - 2*r**2 - 4*r**2 + 43*r - 59. Let y(w) = 3*i(w) + 7*n(w). Solve y(a) = 0.
3
Let -392*k - k**2 + 1772*k + 269*k = 0. Calculate k.
0, 1649
Let t(x) be the first derivative of -2*x**3 - 1874*x**2 - 2496*x - 4679. Find v such that t(v) = 0.
-624, -2/3
Let h(y) be the first derivative of y**5/5 - 45*y**4/4 - 116*y**3 - 410*y**2 - 624*y - 12066. Find z, given that h(z) = 0.
-3, -2, 52
Suppose -21 - 25/2*i + 3/2*i**3 + 2*i**2 = 0. Calculate i.
-7/3, -2, 3
Suppose 230*h - 24 = 225*h + d, -d = 2*h - 4. Let f(m) be the first derivative of m + 3/2*m**2 + 1/4*m**4 + h + m**3. Factor f(n).
(n + 1)**3
Let p(d) be the second derivative of -3*d**5/20 + 41*d**4/2 - 950*d**3 + 12996*d**2 - d - 15. Factor p(i).
-3*(i - 38)**2*(i - 6)
Let o be 35/(-210)*(-7)/((-7)/(-30)). Let z(p) be the first derivative of -6*p**2 + 21/4*p**4 + 12*p**3 + 0*p - o. Factor z(r).
3*r*(r + 2)*(7*r - 2)
Let o(a) be the first derivative of 21218*a**5/35 + 206*a**4/7 + 8*a**3/21 + 5083. Determine g, given that o(g) = 0.
-2/103, 0
Determine u so that -2316*u - 582*u**3 + 2366 - 7119 + 2369 + 2325*u**2 + 2372 = 0.
-1/194, 2
Let w(r) be the third derivative of r**7/525 - 46*r**6/75 - 374*r**5/75 - 188*r**4/15 - 1948*r**2. Solve w(l) = 0 for l.
-2, 0, 188
Find r such that 0 - 12/7*r - 1/7*r**2 = 0.
-12, 0
Suppose 23299*z + 23297*z = 46707*z - 333. Suppose v**2 + 0*v - 3/2*v**z + 0 + 1/2*v**4 = 0. What is v?
0, 1, 2
Let k(d) be the first derivative of -d**5/15 - 2*d**4/3 - 2*d**3 - 5*d**2/2 + 5*d + 2. Let q(c) be the second derivative of k(c). Factor q(f).
-4*(f + 1)*(f + 3)
Let -1596*m + 717*m + 176*m - 1402*m - 5*m**2 - 2100 = 0. What is m?
-420, -1
Let p(c) = -c**3 + c**2 - 5*c + 5. Let t(d) = d**3 + 5*d - 6. Suppose -u - 288 = -7*u. Suppose -3*k - 9*k = -u. Let j(o) = k*p(o) + 3*t(o). Factor j(x).
-(x - 2)*(x - 1)**2
Factor -180*o**3 - 524*o**4 + 40*o**3 + 519*o**4 - 135*o**2.
-5*o**2*(o + 1)*(o + 27)
Let l(n) = 21403*n + 128445. Let c be l(-6). Determine p so that -c*p**2 - 1/3 - 6*p = 0.
-1/9
Let a be (-5)/20 + 81/4 + -6. Suppose 0 = -16*d + a*d + 10. Factor 0*z**4 + 4/7*z**3 - 2/7*z**d + 0*z**2 + 0 - 2/7*z.
-2*z*(z - 1)**2*(z + 1)**2/7
Let h = 14 - 5. Let y be (-4)/8 + (h/2 - 2). What is x in 3*x**5 - x**y - 15*x - 339*x**4 + 12*x**3 + 351*x**4 - 6 - 5*x**2 = 0?
-2, -1, 1
Let z(o) = -78*o**2 - 138*o + 345. Let n(y) = 43*y**2 + 68*y - 173. Let a(k) = -9*n(k) - 5*z(k). Find h such that a(h) = 0.
-28, 2
Suppose 4*c - a = 30, 2*c + a = 6 + 6. Let q = -5 + c. Suppose -6*h + 4*h**3 - 8*h**2 + 6*h**2 + 6*h**2 - q*h = 0. What is h?
-2, 0, 1
Let q(t) be the first derivative of -3*t**4/20 + 28*t**3/5 - 543*t**2/10 - 126*t - 1817. Determine u so that q(u) = 0.
-1, 14, 15
Factor 578/5 - 102*c - 66/5*c**2 - 2/5*c**3.
-2*(c - 1)*(c + 17)**2/5
Let b be ((-1)/(-2))/(6 - (-179)/(-30)). Suppose 5*w = 210 - b. Solve -11*q**2 + 4*q**4 - w*q**2 + 10*q**2 + 12*q**3 = 0.
-5, 0, 2
Let n(s) = -4*s**2 - 4*s. Let l(c) = 2 - c + 0 - 6*c - c**2 + 6*c. Let f(y) = -6*l(y) + n(y). Factor f(u).
2*(u - 2)*(u + 3)
Let n(z) =