1/165*w**6 + 0*w**3 + 0 + b*w**5 - 1/231*w**7 + 0*w**2 + 0*w**4. Solve u(k) = 0 for k.
-1, 0
Let z(o) = o**2 + 5*o + 9. Let w be z(-3). Let i be 108/57 + 9*(-16)/(-1368). Factor 2/19*c + 80/19*c**4 + 32/19*c**5 + 0 + 66/19*c**w + 20/19*c**i.
2*c*(c + 1)**2*(4*c + 1)**2/19
Suppose -2*n = 2*s + 2 - 10, 0 = 4*n - 2*s + 8. Suppose 0 = 2*y - n. Factor 15*v**4 - 14*v**3 + y*v**2 + 4*v**2 - 5*v**4 + 0*v**2.
2*v**2*(v - 1)*(5*v - 2)
Let z be (-1422)/3792 + 102/144. Let 1/3*l**2 + 1/3*l**3 - 1/3*l - z = 0. Calculate l.
-1, 1
Let 0 - 460/21*w**2 + 2/21*w**3 + 0*w = 0. What is w?
0, 230
Let s(g) be the third derivative of -g**5/20 + 401*g**4/8 - 200*g**3 + 38*g**2 - 9. Factor s(b).
-3*(b - 400)*(b - 1)
Suppose 9*h - 24 = 3. What is j in 3*j**3 - 2*j**h + 6*j - 2*j + 4*j**2 = 0?
-2, 0
Suppose -336/17 - 62/17*o - 2/17*o**2 = 0. What is o?
-24, -7
Suppose -i = -5*k + 4*i + 40, -5*k + 37 = -4*i. Suppose -2*q - 11 = -x, -5*x + 2 - 7 = k*q. Factor -2/5*n**2 + 4/5*n**x + 2/5 - 3/5*n + 0*n**4 - 1/5*n**5.
-(n - 1)**3*(n + 1)*(n + 2)/5
Let d(k) be the third derivative of k**8/84 - 32*k**7/21 - k**6/5 + 488*k**5/15 - 643*k**4/6 + 160*k**3 + 1145*k**2. Factor d(t).
4*(t - 80)*(t - 1)**3*(t + 3)
Let a(y) be the third derivative of y**9/756 + y**8/210 - y**6/45 - y**5/30 + 121*y**3/3 - 224*y**2. Let x(l) be the first derivative of a(l). Factor x(i).
4*i*(i - 1)*(i + 1)**3
Let f = -2557 + 2562. Let t(a) be the second derivative of -6*a**2 - 9*a - 5/3*a**4 + 14/3*a**3 + 1/5*a**f + 0. Factor t(m).
4*(m - 3)*(m - 1)**2
Let n(q) = 81*q - 323. Let h be n(4). Let l(g) be the first derivative of h + 1/15*g**5 - g - 2/3*g**3 + 0*g**4 + 4/3*g**2. Factor l(a).
(a - 1)**3*(a + 3)/3
Let t(d) be the second derivative of 0 + 0*d**5 + 0*d**2 + 3/8*d**4 - 1/20*d**6 - 1/2*d**3 + 42*d. Factor t(u).
-3*u*(u - 1)**2*(u + 2)/2
Let i(m) = 2*m**3 + m**2 - 1. Let k be (5/(-15))/(3/9). Let z(r) = 6*r**3 - 15*r**2 - 4*r + 15. Let a(x) = k*i(x) + z(x). Factor a(d).
4*(d - 4)*(d - 1)*(d + 1)
Let s(v) = 2*v**2 + 2*v + 1. Suppose -12*y = -4*y + 32. Let d(g) = 9*g**2 - 3*g + 4. Let h(j) = y*s(j) + d(j). What is i in h(i) = 0?
0, 11
Let i(p) = p**5 + 276*p**4 + 1613*p**3 + 2380*p**2. Let u(v) = -v**5 - 3*v**4 + v**3 + 2*v**2. Let s(w) = i(w) - 2*u(w). Factor s(x).
3*x**2*(x + 3)**2*(x + 88)
Let w be 10 - 4 - ((-29 - -11) + 11). Let d(j) be the second derivative of 0*j**2 + w*j - 1/3*j**4 + 0*j**3 + 1/15*j**6 + 0 - 1/10*j**5. Factor d(v).
2*v**2*(v - 2)*(v + 1)
Let t(k) = 15509*k - 217123. Let l be t(14). What is r in 13/2*r + r**2 + l = 0?
-6, -1/2
Let a(b) = -2*b**2 - 2*b - 1. Let k(q) = q**2 + 1281*q + 1278. Let g(i) = -2*a(i) + k(i). Factor g(j).
5*(j + 1)*(j + 256)
Find t such that -2/3 - 46/3*t**2 + 16*t = 0.
1/23, 1
Suppose 5*z = -2*k + 35, -4*z + 3*k = 2 - 7. Solve 60006 - 38*w**2 - z*w**3 + 538*w - 22198*w + 608*w**2 + 214354 = 0 for w.
38
Let s(u) be the third derivative of 0*u**3 - 47*u**2 + 1/70*u**7 + 0*u + 3/4*u**5 + 7/40*u**6 + 0 + 9/8*u**4. Factor s(w).
3*w*(w + 1)*(w + 3)**2
Let d = 44 - 40. Suppose 2*f + 4*a + 16 = 0, d*f + a - 2*a = 13. Factor 9*t**3 - 5 + 9*t**2 + 5 - 3*t**f - 3*t.
3*t*(t + 1)*(3*t - 1)
Factor 1064*c**3 - 2382*c**4 + 861184 + 798*c**3 + 2384*c**4 + 436164*c**2 + 1295488*c.
2*(c + 1)*(c + 2)*(c + 464)**2
Let z(n) be the first derivative of -5*n**3/3 + 4955*n**2 - 4910405*n + 4005. Factor z(k).
-5*(k - 991)**2
Let v(z) = -z - 1. Suppose 3 + 1 = 4*t. Let o be (48/20)/(46/(-115)). Let n(u) = u**3 - 7*u - 6. Let j(q) = o*v(q) + t*n(q). Factor j(m).
m*(m - 1)*(m + 1)
Let j be -6 - (-2 + 1)/((-9)/(-459)). Suppose j*g - 183 = -16*g. Let 0 + 0*m**2 + m**4 - 1/2*m**5 + 0*m + 3/2*m**g = 0. Calculate m.
-1, 0, 3
Let d = -172 - -175. Factor 4*n**2 + n**5 - 13*n + 8*n**d + 6 - 7*n**3 - 2*n**4 + 5*n**3 - 2*n**5.
-(n - 1)**3*(n + 2)*(n + 3)
Let h(g) = -44*g**4 - 2632*g**3 - 5168*g**2 + 16. Let p(n) = 19*n**4 + 1128*n**3 + 2215*n**2 - 7. Let m(i) = 7*h(i) + 16*p(i). Factor m(f).
-4*f**2*(f + 2)*(f + 92)
Let h(c) = 1. Let y = 13 - 8. Let a be (-7*(0 - y))/(0 - 1). Let x(n) = -n**3 - 5*n**2 - 6*n + 7. Let b(g) = a*h(g) + 5*x(g). Determine u, given that b(u) = 0.
-3, -2, 0
Let k(d) be the second derivative of -d**4/12 - 1115*d**3/3 - 1243225*d**2/2 - 982*d. Factor k(w).
-(w + 1115)**2
Let f(t) be the third derivative of -15*t**2 + 5/144*t**4 + 0*t + 1/360*t**5 + 0 + 1/9*t**3. Factor f(b).
(b + 1)*(b + 4)/6
Let y(i) be the second derivative of i**5/80 + 41*i**4/24 + 385*i**3/24 - 472*i + 6. Let y(q) = 0. What is q?
-77, -5, 0
Suppose 23*n + 26*n = -14*n - 55*n + 236. Let -1/3 + 0*p + 1/3*p**n = 0. What is p?
-1, 1
Let p be ((-2)/6)/(2/(-3) + 306/510). Let j(f) be the first derivative of 5*f**3 + 0*f - 13 - 5/4*f**4 - p*f**2. Factor j(r).
-5*r*(r - 2)*(r - 1)
Let -443*x**2 - 13601*x**3 + 67*x**2 + 13717*x**3 + 256*x + 4*x**4 = 0. Calculate x.
-32, 0, 1, 2
Suppose -27*o + 29*o - 13 = -5*g, 0 = -4*g - 4*o + 8. Suppose -3*s - 2*l = -6, 9*s = 4*s - l + g. Factor s + 12/7*q - 4/7*q**2.
-4*q*(q - 3)/7
Let c(z) be the second derivative of -4/15*z**6 + 1/21*z**7 + 0*z**3 + 0 + 0*z**4 - 51*z + 0*z**2 + 2/5*z**5. Suppose c(j) = 0. Calculate j.
0, 2
Factor 0 + 608434*a**4 + 0 + 45*a**3 - 1500*a - 608437*a**4.
-3*a*(a - 10)**2*(a + 5)
Let o(u) be the second derivative of 16*u**2 + 0 + 1/60*u**6 + 11/8*u**4 + 111*u + 28/3*u**3 - 7/20*u**5. Determine x, given that o(x) = 0.
-1, 8
Suppose 235 = 3*v - w, 2*v = v + w + 75. Let p = 84 - v. Factor 2/11*x**3 + 0*x**2 + 0*x + 0 - 2/11*x**p.
-2*x**3*(x - 1)/11
Let c(p) be the second derivative of p**7/2520 + p**6/80 - 23*p**4/6 + 38*p. Let a(u) be the third derivative of c(u). Factor a(w).
w*(w + 9)
Let d(x) = -2*x**3 - 480*x**2 + 21168*x - 296352. Let r(j) = -8*j**3 - 1432*j**2 + 63504*j - 889056. Let b(g) = -10*d(g) + 3*r(g). What is c in b(c) = 0?
42
Let c be (-28 + (-45920)/(-1638))*9. Determine b so that 6/13*b**2 + 0*b**3 - 2/13*b**4 - c*b + 0 = 0.
-2, 0, 1
Let i(n) be the second derivative of n**4/12 + 10*n**3/3 + 51*n**2/2 + n - 319. Factor i(a).
(a + 3)*(a + 17)
Let h = 197457 - 197455. What is s in 52/11 + 2/11*s**h + 54/11*s = 0?
-26, -1
Let g = -48121 + 144379/3. What is r in 4/3*r**3 + g*r**2 - 8 + 4/3*r = 0?
-3, -2, 1
Let a(j) be the second derivative of -j**8/112 + 9*j**6/40 - 3*j**2/2 - 39*j. Let d(b) be the first derivative of a(b). Let d(i) = 0. What is i?
-3, 0, 3
Solve 1376*a**3 + 3*a**4 + 1324*a**3 - 252*a - 2448*a**3 - 258*a**2 + 255 = 0 for a.
-85, -1, 1
Let u(v) be the second derivative of -1/18*v**4 - 6 - 34/9*v**3 + 35/3*v**2 - 12*v. Factor u(p).
-2*(p - 1)*(p + 35)/3
Let o be ((-422)/(-5697))/(2/(5 - -1) - (219 - 219)). Suppose 0 - o*i**2 + 1/9*i**4 + 0*i - 1/9*i**3 = 0. What is i?
-1, 0, 2
Let t(p) be the second derivative of 36/7*p**2 - 2*p**3 + 8/21*p**4 - 1/35*p**5 + 64*p + 0. Factor t(k).
-4*(k - 3)**2*(k - 2)/7
Let f = 112332 - 449325/4. Suppose -3*r - f*r**2 + 0 = 0. Calculate r.
-4, 0
Let k(z) be the third derivative of 45*z**2 + 0*z**3 - 1/40*z**6 + 0 + 1/4*z**4 - 1/20*z**5 - 2*z. Factor k(h).
-3*h*(h - 1)*(h + 2)
Let v = 2863/15 - 191. Let o = v - -4/15. Suppose 0 - 4/15*u - o*u**3 - 2/5*u**2 = 0. Calculate u.
-2, -1, 0
Let m = 7753/2 + -3876. Let s(h) be the second derivative of 10/3*h**3 - 7/4*h**5 + 12*h + 0*h**2 + 0 + m*h**6 + 0*h**4. Factor s(a).
5*a*(a - 2)*(a - 1)*(3*a + 2)
What is p in -2934 - 556*p + 48*p**5 - 8075*p**3 - 7188*p**2 - 1437*p**4 + 8862 - 2543 - 2665 - 12*p**5 = 0?
-4, -2/3, 1/4, 45
Suppose 2*b + 4*f - 34 = 0, -3*b + 4*f + 26 + 45 = 0. Factor -20*v**2 + 2*v**3 + b + 4*v**2 - 21.
2*v**2*(v - 8)
Let k be 16/(-7)*((-63)/(-6) - 14). Let z be (0 + k/6)*(-21)/(-14). Determine m so that -24/11*m + 72/11 + 2/11*m**z = 0.
6
Let b(c) be the first derivative of 14/3*c**3 + 729/2*c - 837/8*c**2 - 1 - 1/16*c**4. Let b(w) = 0. What is w?
2, 27
Find l such that 2/13*l**3 + 98/13*l**2 + 534/13*l + 774/13 = 0.
-43, -3
Let t(i) be the second derivative of i**5/250 - 4*i**4/25 + 59*i**3/75 + 84*i**2/25 + 2*i + 227. Factor t(n).
2*(n - 21)*(n - 4)*(n + 1)/25
Let u(a) be the third derivative of -a**6/60 - 179*a**5/15 - 2640*a**4 + 21600*a**3 - a**2 - 680. Solve u(c) = 0 for c.
-180, 2
Suppose 21 = 2*o - l - 11, 3*o + 4*l - 59 = 0. Suppose -2*v = o - 25. Factor -20*d**3 - 6*d + v*d**4 + 0*d - 3*d + 28*d**2 - 3*d.
4*