 2*n - 3*n + 0*n**3 - 2 + 8*n**d + g*n**3 + 4*n.
(n + 1)*(n + 2)*(3*n - 1)
Let s(o) be the first derivative of -10*o**5 + 9210*o**4 + 14784*o**3 - 26576*o**2 + 11808*o - 6585. Determine w so that s(w) = 0.
-2, 2/5, 738
Let y be (((-150)/63)/(-10))/(15/36). Let j(c) be the first derivative of y*c**5 - 3 + 0*c - 3/7*c**4 - 8/21*c**3 + 0*c**2. Factor j(f).
4*f**2*(f - 1)*(5*f + 2)/7
Let s = 63956 - 63954. Factor 2/5*b - 13/5*b**s + 0.
-b*(13*b - 2)/5
Let k(y) be the third derivative of 3*y**7/35 - 4*y**6/5 - 7*y**5/6 - y**4/2 - 66*y**2. Factor k(l).
2*l*(l - 6)*(3*l + 1)**2
Let j be (90/(-24))/(21/(-56)). Suppose 14*d**2 + d**3 - 3012 - 2*d**3 + 2862 - j*d + 3*d**3 = 0. Calculate d.
-5, 3
Let a(f) = 8*f**3 - 375*f**2 + 34573*f - 132475. Let t(n) = -n**3 + n**2 + n - 3. Let c(k) = -5*a(k) - 35*t(k). Find i, given that c(i) = 0.
4, 182
Suppose -3239 - 6759 + 3132*z + 3270 + 14355*z**2 - 14241*z**2 + z**3 = 0. Calculate z.
-58, 2
Let a(g) be the second derivative of -g**5/150 - 11*g**4/30 + 23*g**3/15 - 65*g**2 - 2*g - 5. Let l(w) be the first derivative of a(w). Factor l(n).
-2*(n - 1)*(n + 23)/5
Let h(u) be the third derivative of 72*u**2 + 0 + 0*u + 5/7*u**3 - 1/210*u**5 + 1/42*u**4. Let h(t) = 0. Calculate t.
-3, 5
Factor 405/7 - 13/7*g**2 + 9/7*g - 1/7*g**3.
-(g - 5)*(g + 9)**2/7
Let l(b) be the first derivative of -1/2*b**4 - 12*b - 51 + 4/3*b**3 + 5*b**2. Determine s, given that l(s) = 0.
-2, 1, 3
Let -6/7*n**2 + 1164/7*n + 0 = 0. Calculate n.
0, 194
Let w(m) be the third derivative of -m**6/40 + m**5/20 + 69*m**4/8 - 189*m**3/2 + 2892*m**2. Let w(s) = 0. Calculate s.
-9, 3, 7
Let c(o) be the third derivative of o**7/1890 - o**6/405 + 13*o**3/2 - 13*o**2 - 1. Let u(t) be the first derivative of c(t). Factor u(l).
4*l**2*(l - 2)/9
Let y(i) be the second derivative of i**6/45 - 11*i**5/15 + 20*i**4/3 + 22*i**3/9 - 121*i**2/3 - 72*i. Suppose y(f) = 0. Calculate f.
-1, 1, 11
Find l, given that -8/13*l + 584/13 - 438/13*l**2 - 2/13*l**4 + 152/13*l**3 = 0.
-1, 2, 73
Let x(v) be the second derivative of 0*v**5 + 0*v**3 - 16*v**2 - 1/60*v**6 + 1/3*v**4 + 0 - 15*v. Let l(p) be the first derivative of x(p). Factor l(y).
-2*y*(y - 2)*(y + 2)
Let r(a) be the first derivative of a**6/90 - 4*a**5/15 + 2*a**3/3 - 87*a - 143. Let u(d) be the third derivative of r(d). Factor u(j).
4*j*(j - 8)
Let c(a) = a**3 - a + 52. Let n be c(0). Let q = n - 48. Factor u**q + 69*u**2 + u**3 - 36*u**2 - 30*u**2 + u + 2*u**3.
u*(u + 1)**3
Let z(o) = -2*o**4 - 33*o**3 + 111*o**2 - 11*o - 120. Let c(m) = m**4 + 17*m**3 - 55*m**2 + 7*m + 60. Let p(x) = 11*c(x) + 6*z(x). Find h such that p(h) = 0.
-15, -1, 1, 4
Let f(h) be the second derivative of -h**4/6 + 244*h**3 + 733*h**2 - 6*h - 53. Solve f(l) = 0 for l.
-1, 733
Suppose -18017*d + 414 = -17879*d. Let -9*s**2 + 77/4*s**d - 81/4*s**5 + 0 + 9*s**4 + s = 0. What is s?
-1, 0, 2/9, 1
Let s(j) be the second derivative of 63*j - 1/2*j**5 - 5/42*j**7 + 0*j**3 + 0 - 1/2*j**6 + 0*j**2 + 0*j**4. Solve s(u) = 0 for u.
-2, -1, 0
Factor 32792 - 1808*u + 4*u**2 + 110043 + 108913 - 47444.
4*(u - 226)**2
Let d = -5540 + 5540. Let x(g) be the second derivative of -21*g + 0*g**2 - 3/50*g**5 + d - 1/50*g**6 + 1/20*g**4 + 1/5*g**3. Factor x(z).
-3*z*(z - 1)*(z + 1)*(z + 2)/5
Let d(f) = -f**3 + 16*f**2 + 1097*f - 15748. Let v be d(14). Determine h so that -1083/7*h**v - 1140/7*h - 300/7 = 0.
-10/19
Let q(h) = 26*h - 245. Let l be q(23). Let y = l - 349. Factor -2/5*j**3 + 0 + 0*j + 0*j**2 - 2/5*j**y.
-2*j**3*(j + 1)/5
Let i(c) = 2*c**3 + 225*c**2 + 5049*c - 121. Let f be i(-31). Let -1/2*w**5 + 3/2*w**4 - 1/2*w**f + w + 0 - 3/2*w**2 = 0. What is w?
-1, 0, 1, 2
Let w be 3/27*(13 - 1089/88). Let y(u) be the third derivative of -1/36*u**5 - w*u**4 + 0*u + 0 + 5/9*u**3 - 5*u**2. Factor y(o).
-5*(o - 1)*(o + 2)/3
Let s(c) be the first derivative of 5*c**4/4 - 2600*c**3/3 - 2605*c**2/2 + 910. Factor s(m).
5*m*(m - 521)*(m + 1)
Let i = -268 + 270. Let x be 1*158 + 0/2. Solve t**i - x*t + 3*t**2 + 142*t + 16 = 0.
2
Let i(l) be the third derivative of l**5/48 + 1333*l**4/96 - 89*l**3/4 + l**2 - 4*l - 3. Factor i(m).
(m + 267)*(5*m - 2)/4
Let g(c) be the first derivative of c**9/2268 - c**8/1260 + 38*c**3 - 140. Let t(b) be the third derivative of g(b). Let t(s) = 0. What is s?
0, 1
Let l = 42/19963 + 112651041/79852. What is t in 51*t - l*t**4 + 6 + 87/2*t**2 - 1701/2*t**5 - 2247/4*t**3 = 0?
-1, -1/2, -2/9, 2/7
Suppose -19*v = -18*v + 28. Let x(i) = -4*i - 110. Let d be x(v). Factor -5/4*n**d - 3/4*n + 3/4*n**3 + n**4 + 1/4.
(n - 1)*(n + 1)**2*(4*n - 1)/4
Suppose 0 = 40*v - 38*v - 56. Let x(y) be the first derivative of v - 30*y**2 + 20/3*y**3 + 45*y. Let x(g) = 0. Calculate g.
3/2
What is k in 4*k**4 + 11/6*k**5 - 2/3*k + 0 - 7/6*k**3 - 4*k**2 = 0?
-2, -1, -2/11, 0, 1
Find w, given that 0 + 3/8*w**2 - 177/8*w = 0.
0, 59
Suppose 5 + 15 = 10*z. Solve 20*s**z - 12*s + 15*s**3 + 15*s**2 + 0*s - 11*s**2 = 0.
-2, 0, 2/5
Let r(d) be the third derivative of d**8/336 - 2*d**7/105 + d**6/120 + d**5/6 - d**4/6 - 4*d**3/3 - 5194*d**2. Factor r(k).
(k - 2)**3*(k + 1)**2
Let m(n) = -3*n**4 - 16*n**3 - 11*n**2. Let o(w) = 19*w**4 + 96*w**3 + 64*w**2. Let x(f) = -39*m(f) - 6*o(f). What is y in x(y) = 0?
-15, -1, 0
Let s(m) = -3*m**2 + 155*m + 2761. Let i be s(-14). Factor 3/5*k**4 - 9/5*k**i + 3/5*k**2 - 6/5 + 9/5*k.
3*(k - 2)*(k - 1)**2*(k + 1)/5
Let b be 18/(-54)*0/5. Let m(h) be the second derivative of 0 + b*h**2 - 1/12*h**4 + 0*h**3 - 1/8*h**5 - 5*h. Let m(f) = 0. What is f?
-2/5, 0
Let w(d) = d + 40. Let s be w(-14). What is a in 18*a**2 - 19*a**5 - 12*a**4 - a**3 - 2*a**3 - 10*a**5 + s*a**5 = 0?
-3, -2, 0, 1
Suppose -175*g = -153*g - 1870. Suppose -79 + g = 3*i. What is f in -18/7*f - 3/7*f**i + 0 = 0?
-6, 0
Let p = 11 + -1. Let f be 118/3 - p/(-15). Determine r, given that 11 + 23 + 6 + 4*r - 4*r**3 - f*r**2 = 0.
-10, -1, 1
Let y be (160/(-203) + -31 + 28704/928)/(-2). Factor 15/7*o - y*o**2 + 108/7.
-3*(o - 9)*(o + 4)/7
Let d(a) be the first derivative of a**4/18 - 70*a**3/3 - 211*a**2/3 - 634*a/9 - 731. Factor d(g).
2*(g - 317)*(g + 1)**2/9
Let d(p) be the second derivative of -p**7/294 + 11*p**6/210 + 111*p**5/70 + 27*p**4/2 + 801*p**3/14 + 1863*p**2/14 - 2307*p. Factor d(q).
-(q - 23)*(q + 3)**4/7
Let b(i) be the third derivative of -5*i**8/336 + 4*i**7/21 + 7*i**6/8 - 2*i**5/3 - 25*i**4/6 - i**2 - 61. Let b(a) = 0. Calculate a.
-2, -1, 0, 1, 10
Let c(k) = 1475*k**2 - 2708*k + 1274. Let s(h) = -2945*h**2 + 5418*h - 2549. Let l(u) = 11*c(u) + 6*s(u). Let l(w) = 0. What is w?
16/17
Let f(i) = 129*i - 594. Let p(d) = -d**2 + 256*d - 1200. Let s(g) = -5*f(g) + 3*p(g). Suppose s(r) = 0. Calculate r.
6, 35
Let a(j) be the first derivative of -18/5*j + 26 + 3/2*j**2 - 1/5*j**3. Factor a(c).
-3*(c - 3)*(c - 2)/5
Let f = 3311234/9 + -368361. Let s = f - -447. Suppose s*w - 8/9 - 2/9*w**2 = 0. Calculate w.
2
Let q(o) be the first derivative of -20*o**4/11 - 782*o**3/33 - 285*o**2/11 - 108*o/11 + 372. Determine t so that q(t) = 0.
-9, -2/5, -3/8
Let k(x) be the second derivative of -x + 2/3*x**3 + 29/12*x**4 - 1/6*x**7 - 2*x**2 + 0 + 23/20*x**5 - 1/6*x**6. Suppose k(c) = 0. Calculate c.
-1, 2/7, 2
Factor -6 - 84 - 26*n + 18*n - 390 - 2*n**2 + 100*n.
-2*(n - 40)*(n - 6)
Let g(z) = z**3 + 34*z**2 - 17*z + 9. Let q(n) = 8*n**2 - 4*n + 2. Suppose 18*b = -23 - 13. Let u(k) = b*g(k) + 9*q(k). Let u(v) = 0. What is v?
0, 1
Factor -23*y + 162/7*y**2 - 1/7*y**3 + 0.
-y*(y - 161)*(y - 1)/7
Let z(w) be the first derivative of 74 - 1/2*w**4 - 4/3*w**3 + 0*w**2 + 1/3*w**6 + 4/5*w**5 + 0*w. Factor z(o).
2*o**2*(o - 1)*(o + 1)*(o + 2)
Solve -39/2*n**4 - 3/2*n**5 - 36 + 15*n + 111/2*n**2 - 27/2*n**3 = 0 for n.
-12, -2, -1, 1
Let o(f) be the first derivative of -2*f**5/5 + 22*f**4 - 406*f**3/3 + 316*f**2 - 312*f + 1820. Factor o(b).
-2*(b - 39)*(b - 2)**2*(b - 1)
Factor 1025310*u - 8948*u**3 - 3311*u**2 + 17892*u**3 + 1028178 + 445*u**2 - 8942*u**3.
2*(u - 717)**2*(u + 1)
Let d(u) be the second derivative of -u**4/90 - 194*u**3/15 - 28227*u**2/5 + 561*u. Determine x, given that d(x) = 0.
-291
Suppose -2*u = -2*i + 20, -29*u + 106 = -27*u + 7*i. Find j, given that 0 - 2/11*j**u - 14/11*j**3 + 12/11*j + 2/11*j**5 + 2/11*j**2 = 0.
-2, -1, 0, 1, 3
Let -42/5*h**5 + 1214*h**3 + 898/5*h