)**2*(t - 1)**2/11
Determine r, given that 12/5*r**4 + 9312/5*r**3 + 4638/5 + 5571*r**2 + 20877/5*r = 0.
-773, -2, -1/2
Let k(q) be the first derivative of q**6/9 + 176*q**5/15 + 1097*q**4/6 + 9196*q**3/9 + 2084*q**2 + 1776*q + 1792. Suppose k(u) = 0. What is u?
-74, -6, -1
Let i(c) = c - 18. Let u be i(24). Let z(b) be the second derivative of 0 + 0*b**3 + 0*b**2 - 2/15*b**u - 1/21*b**7 - 1/10*b**5 + 0*b**4 - 17*b. Factor z(g).
-2*g**3*(g + 1)**2
Let k(i) be the first derivative of 0*i + 0*i**3 + 2*i**4 - 7 - 2*i**2 - 2/3*i**6 + 0*i**5. Factor k(n).
-4*n*(n - 1)**2*(n + 1)**2
Let f(d) be the second derivative of -3*d**5/20 + 41*d**4/4 + 22*d**3 - 126*d**2 - 2066*d. Factor f(z).
-3*(z - 42)*(z - 1)*(z + 2)
Let m(j) = 170*j**2 + 14960*j + 4. Let u be m(-88). Suppose -10 - u*c - 2/5*c**2 = 0. What is c?
-5
Let t(f) be the first derivative of -f**5/30 - 11*f**4/24 + 2*f**3/3 + 3782. Factor t(z).
-z**2*(z - 1)*(z + 12)/6
Let z(y) be the third derivative of 1/48*y**4 + 0*y + 1/600*y**5 - 1/10*y**3 - 2 - 21*y**2. Suppose z(r) = 0. Calculate r.
-6, 1
Let d(i) be the first derivative of 529*i**6/8 - 6279*i**5/5 + 19401*i**4/16 + 329*i**3 + 45*i**2/2 - 3169. Suppose d(g) = 0. What is g?
-2/23, 0, 1, 15
Let v(q) be the second derivative of -3/65*q**5 + 2/39*q**4 + 1/3*q**3 + 43*q + 0 + 1/273*q**7 + 6/13*q**2 - 2/195*q**6. Determine z so that v(z) = 0.
-1, 2, 3
Let c(x) = x**2 - 7*x - 42. Let h be c(-4). Let j(t) be the third derivative of 0*t - 2/3*t**3 + 7*t**h + 0 + 1/3*t**4 - 1/15*t**5. Solve j(m) = 0.
1
Let g(l) = -5*l**5 - 20*l**4 - 5*l**3 + 56*l**2 + 20*l - 25. Let i(f) = 2*f**2 + 5. Let o(q) = -g(q) + 3*i(q). Determine h so that o(h) = 0.
-2, 1
Let n(q) = -162*q**2 + 312*q + 213. Let z(s) = -143*s**2 + 312*s + 212. Let a(i) = -8*n(i) + 9*z(i). Suppose a(f) = 0. Calculate f.
-34, -2/3
Let m = 586 + -114. Let l = m + -470. Suppose 0 + 2/9*o**3 - 2/9*o**5 + 2/9*o**l + 0*o - 2/9*o**4 = 0. Calculate o.
-1, 0, 1
Let d be 2 + (-4 - -4)/(-2 + 3). Solve 19*u + u - 5223*u**d + 5219*u**2 = 0 for u.
0, 5
Let q(b) be the first derivative of 9/16*b**4 + 7/6*b**3 + 1/2*b - 21 + 9/8*b**2 + 1/10*b**5. Factor q(s).
(s + 1)**2*(s + 2)*(2*s + 1)/4
Find j such that 65/3*j**2 - 17*j - 13/3*j**3 + 0 - 1/3*j**4 = 0.
-17, 0, 1, 3
Let t(r) be the first derivative of 20/3*r**3 + 1/6*r**6 - 183 + 0*r + 7/5*r**5 + 9/2*r**4 + 4*r**2. Factor t(i).
i*(i + 1)*(i + 2)**3
Let o = 150 + -151. Let d be (o/(-14))/((-9)/(-216)). Factor d + 12/7*y + 3/7*y**2.
3*(y + 2)**2/7
Let p(k) be the second derivative of k**6/450 - k**5/5 - k**3/6 + 137*k**2/2 - 143*k. Let l(m) be the second derivative of p(m). Factor l(t).
4*t*(t - 30)/5
Let t = 270 - 256. Suppose -12 = 2*v + 4*r, -5*v + 2*r - r + t = 0. Solve 2/3*o**3 + 1/3*o + 0 + 5/6*o**v + 1/6*o**4 = 0 for o.
-2, -1, 0
Let l(d) be the first derivative of 4*d**6/33 - 2302*d**5/55 + 41900*d**4/11 - 287428*d**3/33 + 3692*d**2 + 3718*d - 1279. Find j such that l(j) = 0.
-1/4, 1, 143
Let w(h) = -65*h**2 - 360*h - 979. Let t(m) = -35*m**2 - 180*m - 489. Let u(x) = -11*t(x) + 6*w(x). Factor u(c).
-5*(c + 3)*(c + 33)
What is g in 1171*g**3 + 160*g**2 + 5*g**4 - 1010*g**3 - 4*g**4 = 0?
-160, -1, 0
Let h(y) be the third derivative of 1944*y**3 + 0*y + 14 + y**2 + 1/15*y**5 + 18*y**4. Factor h(x).
4*(x + 54)**2
Suppose 2*a - 41 = -29. Let d(z) be the first derivative of -2*z**5 + 3*z**5 - 5*z**3 + 5*z**2 - 3 + 0*z**5 - a. Factor d(s).
5*s*(s - 1)**2*(s + 2)
Let i(z) = z**2 - 75*z - 11932. Let l be i(-78). Factor -242/5*x**4 - 624/5*x**l - 64*x + 176*x**3 - 32/5.
-2*(x - 2)**2*(11*x + 2)**2/5
Let l = 1436 + -1415. Let m(g) be the first derivative of 0*g + 40/3*g**3 - 8*g**2 - l - 33/4*g**4 + 2*g**5 - 1/6*g**6. Factor m(i).
-i*(i - 4)**2*(i - 1)**2
Let r be -45*8/(-440)*84/54. Solve 2/11*v**2 + r*v + 0 = 0 for v.
-7, 0
Suppose -3*h = -2*n - 0*n - 1107, 2*n + 1108 = 4*h. Let x = 787 + n. Let 139*o**4 + 17*o - x*o**3 + 120 - 174*o**4 - 244*o - 490*o**2 - 33*o = 0. What is o?
-3, -2, 2/7
Factor -12326/5*b - 2/5*b**3 - 6162/5 - 6166/5*b**2.
-2*(b + 1)**2*(b + 3081)/5
Suppose 0 = -5*z - 5*t + 30, -2*t = -9 + 3. Determine i, given that z + 0*i - 3/4*i**2 = 0.
-2, 2
Let w(a) be the second derivative of -a**4/3 + 8*a**3/3 - 6*a**2 - 856*a. Factor w(s).
-4*(s - 3)*(s - 1)
Let d be (6/(-11) - (-78)/143)/3. Suppose 3*m - 4*v - 6 = d, 4*v = 2*m - 6 + 2. Factor 3/5 - 3/5*w**m + 1/5*w - 1/5*w**3.
-(w - 1)*(w + 1)*(w + 3)/5
Let c(k) be the first derivative of 87*k**5/35 + 9*k**4/14 - 116*k**3/7 - 36*k**2/7 - 6906. Find p, given that c(p) = 0.
-2, -6/29, 0, 2
Factor -1/6*k**2 + 0 - 127/6*k.
-k*(k + 127)/6
Find a, given that -3/8*a**3 - 15/8*a**2 + 15/2 + 3/2*a = 0.
-5, -2, 2
Suppose -3599480*j - 5*j**4 + 373056*j**2 + 156*j**4 - 10581*j**3 - 3657*j**3 - 97556 - 3*j**4 + 1366*j**3 = 0. What is j?
-1/37, 29
Let p be ((-120)/(-1))/4*180/240. Factor p + 3/2*a**2 + 12*a.
3*(a + 3)*(a + 5)/2
Let m(k) = k**2 + 6*k + 10. Let n be (4 + -8 - 1)/1. Let r(b) = 8*b + 8. Let q(l) = n*r(l) + 4*m(l). Factor q(f).
4*f*(f - 4)
Suppose -14*k + 104 = 104. Suppose 14 = 4*w + 33*c - 34*c, k = -w - 3*c + 10. Determine m, given that 0*m - 1/2*m**5 + 2*m**w + 0 - 5/2*m**3 + m**2 = 0.
0, 1, 2
Determine h, given that 1012 - 5*h**3 - 275*h**2 + 801 + 662 - 1166*h - 1029*h = 0.
-45, -11, 1
What is s in -6480 - 2/9*s**4 + 2376*s - 276*s**2 + 118/9*s**3 = 0?
5, 18
Let k = -20 + 22. Suppose -3*r + 0*r - 4*n + 63 = 0, k*n = -3*r + 63. Find y such that 27*y**2 - 5*y**3 - r*y**2 + 7*y**3 = 0.
-3, 0
Let g(d) = 3*d**2 + 125*d - 1800. Let k be g(-53). Let 512/9 - 64/9*n + 2/9*n**k = 0. What is n?
16
Let u(k) be the second derivative of -k**5/5 + 194*k**4/3 + 9*k + 21. Factor u(z).
-4*z**2*(z - 194)
Suppose -128/9 - 4/3*s**2 - 4/9*s**3 + 16*s = 0. Calculate s.
-8, 1, 4
Let g(p) be the first derivative of -2*p**3/21 + 1357*p**2/7 + 5436*p/7 - 11322. Solve g(w) = 0.
-2, 1359
Let d(y) be the first derivative of -2/3*y**6 + 2*y**4 + 0*y + 40 + 16/5*y**5 - 16*y**3 - 18*y**2. Factor d(k).
-4*k*(k - 3)**2*(k + 1)**2
Let r(j) = 10*j**2 - 5827*j - 3. Let s(h) = -35*h**2 + 17480*h + 10. Let k(l) = 10*r(l) + 3*s(l). Let k(m) = 0. What is m?
-1166, 0
Let l = -4789/14 + 165/7. Let g = 331 + l. Determine c, given that -2*c**2 + 5/4*c + g + 1/4*c**3 = 0.
-2, 5
Suppose 2*f = -f + 8*f - 0*f - 4*u, 5*f = 2*u. Let 0*q - 11/9*q**4 + f + 5/9*q**3 + 2/9*q**2 + 4/9*q**5 = 0. Calculate q.
-1/4, 0, 1, 2
Factor 2 - 77/2*j**2 + 39/4*j**3 + 37*j.
(j - 2)**2*(39*j + 2)/4
Let a(s) be the third derivative of -13*s**6/24 - 23*s**5/3 - 235*s**4/6 - 280*s**3/3 - 756*s**2 - s. Find c, given that a(c) = 0.
-4, -2, -14/13
Let -1176 - 385*q - 1113 - 1144 + 3347 + 482*q**2 - 11*q**3 = 0. Calculate q.
-2/11, 1, 43
Let f(a) be the second derivative of 5*a**7/6 + 47*a**6/6 + 63*a**5/4 + 65*a**4/12 - 25*a**3/3 + 7*a - 34. Solve f(u) = 0.
-5, -1, 0, 2/7
Suppose 15*t = 14 - 119. Let b(u) = 3*u**4 - 3*u**3 - 24*u**2. Let a(d) = 3*d**4 - 2*d**3 - 26*d**2. Let f(o) = t*b(o) + 6*a(o). Factor f(s).
-3*s**2*(s - 4)*(s + 1)
Let a(i) be the second derivative of -1/2*i**4 - 6*i**3 + 0*i**2 - 118*i - 1/80*i**5 + 0. Factor a(n).
-n*(n + 12)**2/4
Suppose 5*k - 19 = 26. Let -4*j**2 - k + 11 - 6 - 8*j = 0. Calculate j.
-1
Let i(r) be the third derivative of r**8/40320 - r**7/5040 + r**5/180 + 125*r**4/24 + 7*r**2 - 2*r. Let y(a) be the second derivative of i(a). Factor y(g).
(g - 2)**2*(g + 1)/6
Let w(k) be the second derivative of -k**7/420 + 7*k**6/360 - k**5/15 - 5*k**4/4 - 47*k - 2. Let j(u) be the third derivative of w(u). Factor j(f).
-2*(f - 1)*(3*f - 4)
Suppose 2*o - 5*r = 7*o - 25, -5*r + 25 = 3*o. Suppose 5*k + 4*h = -o*k - 5, 3*k + 5*h + 16 = 0. Solve 0*f + k*f**3 - 10*f**2 + 10*f**2 - 3*f = 0.
-1, 0, 1
Let d(w) be the first derivative of 3*w**4/20 + 348*w**3/5 + 45414*w**2/5 - 754. Let d(y) = 0. Calculate y.
-174, 0
Let g(w) be the third derivative of w**6/30 - 181*w**5/15 + 30*w**4 + 2573*w**2. Factor g(t).
4*t*(t - 180)*(t - 1)
Determine n, given that 2/5*n**3 + 0*n - 2/5*n**2 + 0 = 0.
0, 1
Let d = -223679 + 223679. Find f such that 0 + d*f + 0*f**2 - 40/3*f**3 - 2/3*f**4 + 2/3*f**5 = 0.
-4, 0, 5
Solve 23025*f**3 + 1890*f**2 + 2*f**5 - 24750*f**3 - 170*f**4 + 3*f**5 = 0 for f.
-9, 0, 1, 42
Solve 16*v - 70/3*v**3 - 346/9*v**2 - 8/9 = 0 for v.
-2, 1