 8/15*b**5 - 11/9*b**4. Factor s(f).
2*f*(f - 11)*(f - 2)**2/3
Let g(n) be the first derivative of n**6/6 - 46*n**5/5 + 181*n**4/2 - 1112*n**3/3 + 1461*n**2/2 - 666*n + 128. Solve g(a) = 0.
1, 2, 3, 37
Let o(y) be the third derivative of 1/42*y**4 + 8/21*y**3 + 0 - 51*y**2 - y - 1/105*y**5 - 1/840*y**6. Factor o(l).
-(l - 2)*(l + 2)*(l + 4)/7
Let j be (-88)/(-55)*1129*(-1)/2. Let m = j - -904. Factor -4/5*v**2 + m*v**3 + 0*v + 0.
4*v**2*(v - 1)/5
Let -20*z**4 - 2688*z + 2610*z**2 - 10*z**4 - 4312*z - 9375 - 9*z**4 + 240*z**3 + 44*z**4 = 0. What is z?
-25, -1, 3
Let w be ((-8)/(-10))/(8074/9175). Factor -w - 3/11*z + 1/11*z**2.
(z - 5)*(z + 2)/11
Let y(u) = -8*u**3 + 32*u**2 - 342*u + 768. Let b(r) = -3*r**3 + 16*r**2 - 172*r + 384. Let s(c) = 5*b(c) - 2*y(c). Factor s(q).
(q - 4)**2*(q + 24)
Let s(l) be the first derivative of 2*l**3/21 + 13*l**2/7 + 44*l/7 - 840. Factor s(g).
2*(g + 2)*(g + 11)/7
Let j(f) be the second derivative of -1/4*f**5 + 5/4*f**4 + 0 + 35*f + 5/6*f**3 - 15/2*f**2. Factor j(o).
-5*(o - 3)*(o - 1)*(o + 1)
Let w(k) = 3*k + 4*k - 4*k + 0*k + k. Let q(d) = -d**2 - 3*d. Let y(a) = -4*q(a) - 6*w(a). Suppose y(i) = 0. What is i?
0, 3
Factor 3*r - 46*r**2 - 20 - 16*r - 35*r + 2*r**3 + 20.
2*r*(r - 24)*(r + 1)
Let a(k) be the first derivative of 26*k**3/15 + 603*k**2/5 + 324*k + 544. Determine u, given that a(u) = 0.
-45, -18/13
Let a(k) be the second derivative of 40*k + 1/8*k**4 + 0 + 9/4*k**3 + 21/2*k**2. Determine u, given that a(u) = 0.
-7, -2
Let b(l) = -865*l**3 - 9665*l**2 + 23780*l - 165. Let u(c) = 21*c**3 + 236*c**2 - 580*c + 4. Let o(y) = -4*b(y) - 165*u(y). Find w, given that o(w) = 0.
-58, 0, 2
Let q(h) be the second derivative of h**5/4 - 955*h**4/12 + 1880*h**3/3 - 1870*h**2 - h + 188. Factor q(j).
5*(j - 187)*(j - 2)**2
Let l = 2/1397517 + 17701880/1397517. Find p such that 2/3*p**2 + l*p + 12 = 0.
-18, -1
Suppose -318/7 - 3/7*h**3 + 162/7*h**2 - 153/7*h = 0. What is h?
-1, 2, 53
Determine i so that -2/7*i**2 - 624/7*i + 2528/7 = 0.
-316, 4
Let x = -224 - -225. Let f(u) = -6*u**4 + 74*u**3 + 8*u**2 - 184*u + 128. Let y(i) = -i**4 + i**3 + 2*i**2. Let r(q) = x*f(q) - 10*y(q). Factor r(o).
4*(o - 1)**2*(o + 2)*(o + 16)
Let j(v) = 4*v**2 + 116*v - 8565. Let y be j(34). Solve -6/5*d**y + 24*d + 96/5 + 36/5*d**2 - 3/5*d**4 = 0.
-2, 4
Let x(t) = 11*t + 151. Let k be x(-14). Let j be (k/18 - 0)*(9 + -12). Solve -3/2*n**3 + 0 + n**2 + 0*n + j*n**5 + 0*n**4 = 0.
-2, 0, 1
Let o(w) be the first derivative of 2*w**6/3 - 12*w**5/5 - 4*w**4 - 371. Suppose o(z) = 0. What is z?
-1, 0, 4
Let f(q) be the third derivative of 17*q + 0*q**3 - q**2 + 0 - 1/30*q**5 + 1/12*q**4. Factor f(n).
-2*n*(n - 1)
Let s(i) be the second derivative of i**5/20 - 7*i**4/12 + 8*i**3/3 - 6*i**2 + 5622*i. Factor s(b).
(b - 3)*(b - 2)**2
Suppose 192/7 + 8/7*b**3 + 230/7*b**2 - 118*b = 0. Calculate b.
-32, 1/4, 3
Let p = 579/2237 - -500/6711. Factor 0 + p*k**3 + 1/3*k + 2/3*k**2.
k*(k + 1)**2/3
Let t = -5271 + 5275. Let s(v) be the second derivative of 0*v**2 - 2 + 1/120*v**t - 4*v + 1/20*v**3. Factor s(y).
y*(y + 3)/10
Suppose 3*z = 456 - 450. Let n(o) be the third derivative of 16*o**z - 1/15*o**5 + 0 - 1/12*o**4 + 0*o + 1/60*o**6 + 2/3*o**3. Factor n(h).
2*(h - 2)*(h - 1)*(h + 1)
Let g = 289367/2 - 144682. Find u such that -g*u**2 - 102*u - 1734 = 0.
-34
Let c(j) = 4*j**2 + 47*j + 56. Let a(r) = r**2 + 12*r + 14. Suppose 2*f + 2*b = -48, f + 5*b = -17 - 15. Let n(s) = f*a(s) + 6*c(s). Solve n(l) = 0 for l.
-7, -2
Let -784/5*a**2 - 116/5*a**4 + 0 + 4/5*a**5 + 512/5*a**3 + 384/5*a = 0. What is a?
0, 1, 2, 24
Suppose 0 - 44*r - 68/3*r**2 - 1/3*r**3 = 0. Calculate r.
-66, -2, 0
Let y(f) = 4*f**3 - 2*f**2 - 2*f - 2. Suppose 4*l + 2*a - 7 = 5*a, -5*l - 25 = 3*a. Let b(o) = -o**2 + o - 1. Let j(c) = l*b(c) + y(c). Factor j(u).
4*u*(u - 1)*(u + 1)
Let n = -37211/23 - -74445/46. Factor n*g**2 - 21/2 - 10*g.
(g - 21)*(g + 1)/2
Let h(w) be the first derivative of 31*w - 1/54*w**4 - 36 + 4/9*w**2 + 0*w**3. Let p(c) be the first derivative of h(c). Solve p(n) = 0.
-2, 2
Let k = 2/1595 - -51034/4785. Let b be (40/35)/((-54)/(-252)). Factor k + 2/3*q**2 + b*q.
2*(q + 4)**2/3
Suppose 0 = -96*s + 57*s. Determine c so that 10*c**3 + s + 1/2*c + 17/4*c**2 + 4*c**4 = 0.
-2, -1/4, 0
Suppose 2*h + 4*p = 8 + 6, 0 = 3*h + 5*p - 22. Suppose 5*a + 27 = 8*a. Factor -a + h - 5*d**2 + 1 + 4.
-5*(d - 1)*(d + 1)
Let p be ((-20)/6)/(-3 + 75/27). Suppose 7*f = 3*f + 32. Suppose 0 - f - 15*k**2 + p*k + 3 + 5*k**3 = 0. Calculate k.
1
Suppose 26*c = 8*c + 12726. Let h = -2120/3 + c. What is v in 0 - h*v + 1/3*v**2 = 0?
0, 1
Factor -40*a**2 - a**3 - 1260*a**4 - 12*a**3 - 37*a**3 + 5*a**5 + 1255*a**4.
5*a**2*(a - 4)*(a + 1)*(a + 2)
Let s(q) = -16*q**3 + 277*q**2 + 9025*q - 432791. Let h(y) = 7*y**3 - 139*y**2 - 4513*y + 216383. Let f(m) = 5*h(m) + 2*s(m). Solve f(l) = 0.
-39, 43
Let j(h) be the first derivative of 5*h**3/3 + 105*h**2 - 675*h + 4211. Factor j(l).
5*(l - 3)*(l + 45)
Suppose -27*i - 345 = 708. Let f be (54/351)/((-24)/i). Let 0*w + 0*w**2 - 1/4*w**4 + 0*w**3 - f*w**5 + 0 = 0. Calculate w.
-1, 0
Factor -184080*z + 1416/7*z**3 + 473200 + 118036/7*z**2 + 4/7*z**4.
4*(z - 5)**2*(z + 182)**2/7
Let a be 45 + 3204/(-90) + 3*-1. Suppose 0 + 0*i - 2/5*i**2 + 16/5*i**3 - a*i**4 = 0. Calculate i.
0, 1/4
Suppose 12*d - 164 = -176. Let u be 0*(-8 + d + 7 + 1). Suppose -8/5*z + u + 2/5*z**2 = 0. What is z?
0, 4
Let b be 3/(-15) + (483/(-936))/(100/(-40)). Let z(y) be the third derivative of 0*y + 0*y**3 - 1/390*y**5 - b*y**4 - 25*y**2 + 0. Suppose z(q) = 0. What is q?
-1, 0
Let v(s) = -23*s**3 + 1231*s**2 - 9992*s - 1734. Let r(l) = 4*l**3 - 205*l**2 + 1668*l + 289. Let x(o) = 13*r(o) + 2*v(o). Let x(b) = 0. What is b?
-1/6, 17
Suppose -86*t**3 - t**3 - 1199*t**2 - 730*t**2 + 324*t + 6867*t**4 + 4704*t**5 + 9*t**3 + 12 = 0. What is t?
-1, -1/32, 2/7
Let g(u) be the first derivative of u**6/9 - 8*u**5/15 - 2*u**4 - 4*u**3/9 + 11*u**2/3 + 4*u - 4183. Solve g(m) = 0.
-1, 1, 6
Suppose 8 = 4*k - 5*k. Let n = 11 + k. Solve -1699 + 3*p**2 - 3*p**n + 6*p + 1699 = 0 for p.
-1, 0, 2
Find t such that 78*t**2 + 47*t**2 - 45*t**3 - 1878 + 1928 - 135*t + 5*t**4 = 0.
1, 2, 5
Let z(d) be the second derivative of -d**5/170 - 10*d**4/17 + d**3/51 + 60*d**2/17 + 3*d - 137. Factor z(c).
-2*(c - 1)*(c + 1)*(c + 60)/17
Let l(o) be the second derivative of o**6/15 + o**5 - 8*o**4 - 122*o**3/3 - 65*o**2 - o + 31. Factor l(b).
2*(b - 5)*(b + 1)**2*(b + 13)
Let h(w) be the first derivative of -2*w**6/7 - 4952*w**5/35 - 128129*w**4/7 - 111512*w**3/7 + 256264*w**2/7 + 339488*w/7 + 3820. Determine z so that h(z) = 0.
-206, -1, -2/3, 1
Let y(i) be the second derivative of 4/21*i**4 - 8/21*i**3 - 46*i + 1/35*i**5 - 32/7*i**2 + 0. Factor y(t).
4*(t - 2)*(t + 2)*(t + 4)/7
Let s(b) = -16*b**3 + 394*b**2 + 156*b. Let w(y) = -14*y**3 + 395*y**2 + 154*y. Let v(g) = 3*s(g) - 2*w(g). Factor v(c).
-4*c*(c - 20)*(5*c + 2)
Let f = -366 + 366. Determine g, given that 1006*g**4 + f*g**5 + 3*g**5 - 1021*g**4 - 18*g**3 = 0.
-1, 0, 6
Let k be ((-2358)/(-131) - (-29)/(-2))*1/8. Let l(d) be the second derivative of -1/10*d**5 + k*d**4 - 3/4*d**3 + 1/120*d**6 - d + 8 + 0*d**2. Factor l(i).
i*(i - 3)**2*(i - 2)/4
Let x be 4/27*-17*75/(-34000). Let m(b) be the third derivative of 0 + 1/630*b**7 + 0*b**4 + 0*b**3 + x*b**5 - 7*b**2 + 0*b + 1/180*b**6. Factor m(l).
l**2*(l + 1)**2/3
Let d(j) be the second derivative of j**6/30 + 77*j**5/10 + 588*j**4 + 21952*j**3/3 - 1229312*j**2 - 208*j + 4. Factor d(t).
(t - 14)*(t + 56)**3
Suppose 65*r**2 - r**4 - 382*r**3 + 668*r**3 - 320*r**3 - 32*r + 2*r**4 = 0. Calculate r.
0, 1, 32
Let l(d) be the third derivative of d**5/240 - 31*d**4/96 + 39*d**3/4 + 2*d**2 - 3715. Determine o, given that l(o) = 0.
13, 18
Let g(v) be the third derivative of -17/108*v**4 + 1/27*v**5 + 44*v**2 - 1/540*v**6 + 0 + 0*v + 8/27*v**3. Find c, given that g(c) = 0.
1, 8
Let s = 8944/33675 + 12/11225. Suppose -s*y - 2/15*y**2 - 2/15 = 0. What is y?
-1
Let r = -303 - -319. Suppose 0 = -4*g + r, 0 = -l + 4*l - 4*g + 4. Solve 0*o**2 + 8/3 - l*o + 4/3*o**3 = 0 for o.
-2, 1
Suppose -3*w - 50 = -5*m, -3*m + w = -8*m + 10. Factor 40/3 - m*y + y**3 - 14/3*y**2 + 1/3*y**4.
(y - 2)**2*(y + 2)*(y + 5)/3
Let c(h) be the second deriv