econd derivative of 3*d**5/110 + 67*d**4/33 + 8*d**3/3 + 47*d + 6. Factor y(f).
2*f*(f + 44)*(3*f + 2)/11
Let o be (-33*(-1)/3)/1. Find d, given that -6*d**3 + o*d + 2*d**5 - 8*d + d**5 = 0.
-1, 0, 1
Let i(s) = -s**3 - 17*s**2 - 63*s + 8. Let f be i(-12). Let u(o) be the second derivative of 0 + 1/54*o**4 + 169/9*o**2 - 26/27*o**3 + f*o. Factor u(a).
2*(a - 13)**2/9
Let d(k) = 4*k**2 - 104*k + 4. Let v be 266/10 - 222/370. Let b be d(v). Solve 4/3*n**3 + 4/3 + b*n**2 + 4*n = 0 for n.
-1
Factor 30 - 362*h + 8 + 20*h**4 + 548*h**2 - 2*h**5 - 372*h**3 + 52 + 72*h**4 + 6*h**4.
-2*(h - 45)*(h - 1)**4
Factor 5*c**2 - 39422 + 6838*c + 49782 + 3527*c.
5*(c + 1)*(c + 2072)
Let v be (-1 + 1)/(40 - (85 + -40)). Factor v*n - 1/8*n**2 + 1/2.
-(n - 2)*(n + 2)/8
Let q(s) = s**3 + s**2 + s + 1. Suppose 0 = -2*w + 61 + 71. Let k = -65 + w. Let y(m) = 8*m**3 + 16*m**2 + 6*m + 6. Let a(t) = k*y(t) - 6*q(t). Factor a(j).
2*j**2*(j + 5)
Let t = 9 + -6. Let 8*a**4 - 11*a**t - a**4 - 5*a**4 + 3*a**3 = 0. Calculate a.
0, 4
Let u(h) = -25*h**5 + 51*h**4 + 610*h**3 - 156*h**2 - 392*h - 92. Let v(k) = k**4 - k**3 + 2*k**2 - 1. Let j(g) = u(g) + 4*v(g). Let j(n) = 0. Calculate n.
-4, -2/5, 1, 6
Suppose -2*p = -5*x + p, -x - 14*p = -10*p - 8*p. Factor -10/17*b**4 + 0 - 2/17*b**3 + x*b + 0*b**2.
-2*b**3*(5*b + 1)/17
Let y(w) be the first derivative of w**4/16 + 21*w**3/4 - 99*w**2/4 - 373. Factor y(i).
i*(i - 3)*(i + 66)/4
Let h(v) be the third derivative of 0 + 2/15*v**5 - 25/3*v**3 - 1/120*v**6 - 5/24*v**4 - v**2 + 64*v. Factor h(b).
-(b - 5)**2*(b + 2)
Let x(c) = -1378*c**2 - 2759*c - 2. Let b be x(-2). Factor 0 - 4*u**3 + 0*u**2 + 0*u - 2/7*u**b.
-2*u**3*(u + 14)/7
What is a in 28*a - 21*a**2 + 58 + 11*a - 134 + a**3 + 57 = 0?
1, 19
Let c(f) = -f**2 + 18*f + 148. Let a be c(24). Factor 0*l**a + 218*l + 2*l**3 - 5*l**4 + 60 - 78*l + 8*l**3 + 95*l**2.
-5*(l - 6)*(l + 1)**2*(l + 2)
Suppose 26*j**2 - 173*j + 61*j**2 - 5*j**3 - 10*j**2 + 3*j**2 + 978*j = 0. Calculate j.
-7, 0, 23
Let z = -4815 + 356321/74. Let s = z + 13/37. Factor -1/2*n**4 + s*n**2 - 1/2*n + 1/2*n**3 + 0.
-n*(n - 1)**2*(n + 1)/2
Let p(f) = -7*f**4 + 203*f**3 - 1006*f**2 + 810*f. Let d(j) = 30*j**4 - 811*j**3 + 4023*j**2 - 3242*j. Let q(t) = -3*d(t) - 13*p(t). Factor q(v).
v*(v - 201)*(v - 4)*(v - 1)
Let a(w) be the third derivative of -7/48*w**4 - 2*w - 1/6*w**3 + 13/420*w**7 - 19*w**2 - 37/240*w**6 + 11/40*w**5 + 0. Find t, given that a(t) = 0.
-2/13, 1
Factor -463*n + 17838*n**4 - 8 + 437*n**3 - 17687*n**4 + 6*n**2 - 141*n + 18*n**3.
(n - 1)*(n + 2)**2*(151*n + 2)
Let m(a) be the third derivative of 1/240*a**5 + 0 - 41/48*a**4 + 140*a**2 + 0*a + 1681/24*a**3. Determine i, given that m(i) = 0.
41
Let s(b) be the third derivative of -b**7/3360 + b**6/288 - b**5/120 - 33*b**3/2 + 8*b**2 - 4. Let t(y) be the first derivative of s(y). Factor t(n).
-n*(n - 4)*(n - 1)/4
Let p be (2/7)/(6/14). Let f = -803160 - -2409482/3. Determine l so that -f + p*l - 1/6*l**2 = 0.
2
Let i(z) be the third derivative of 0*z + 8*z**2 - 1/10*z**3 + 0 + 1/300*z**5 - 1/60*z**4. Suppose i(p) = 0. What is p?
-1, 3
Solve -3/5*v**3 + 3852/5*v - 294/5*v**2 - 2376 = 0 for v.
-110, 6
Let t(p) be the second derivative of -p**5/30 + 5*p**4/18 + 2*p**3 - 24*p**2 + 1906*p - 2. Factor t(n).
-2*(n - 6)*(n - 3)*(n + 4)/3
Let b = 208 - 194. Let n be ((-12)/b)/(110/(-154)). Let 2/5*z**2 - 8/5 + n*z = 0. What is z?
-4, 1
Let q(t) be the second derivative of 0*t**2 - 1/3*t**4 + 0 + t**3 - 1/10*t**5 - 50*t. Factor q(w).
-2*w*(w - 1)*(w + 3)
Let z(x) be the first derivative of 6/7*x**4 + 2/35*x**5 - 10 - 12*x**2 + 14*x + 44/21*x**3. Determine y so that z(y) = 0.
-7, 1
Let a(p) be the first derivative of p**4/4 - 5*p**3/3 - 9*p**2 + 30*p + 86. Let f be a(7). Factor -1/5*t**4 - 12/5*t**f - 8/5*t + 0 - 6/5*t**3.
-t*(t + 2)**3/5
Let q = -426 - -485. What is n in 42*n**2 - q*n**3 + 4*n - 73*n + 12 + 74*n**3 = 0?
-4, 1/5, 1
Suppose 36*x = 8*x + 168. Let r(h) be the third derivative of 1/390*h**5 - 1/780*h**x + 0*h + 11*h**2 + 0 - 1/39*h**3 + 1/156*h**4. Solve r(s) = 0 for s.
-1, 1
Let b(m) be the third derivative of 0*m**3 + 1/45*m**5 + 2/27*m**4 + 0 + 0*m**6 - 1/1890*m**7 - m**2 + 89*m. Solve b(a) = 0 for a.
-2, 0, 4
Let m(p) be the third derivative of -9*p**6/80 - 439*p**5/40 + 49*p**4/8 - 612*p**2. Factor m(v).
-3*v*(v + 49)*(9*v - 2)/2
Let x(p) = -2*p**3 + 6*p**2 + 4*p - 4. Let j be 20/32*4*2. Let s(g) = -j*g + 5 + g**3 + 0*g + g**3 + 0 - 7*g**2. Let w(n) = 4*s(n) + 5*x(n). Factor w(q).
-2*q**2*(q - 1)
Suppose 0 = -32*b + 23*b + 99. Factor b*f**4 - 6*f**4 + 6*f**3 - 2*f**4 + f**2 - 4*f**4 - 6*f.
-f*(f - 6)*(f - 1)*(f + 1)
Let -444/7 - 4/7*v**3 + 884/7*v - 436/7*v**2 = 0. What is v?
-111, 1
Let b be 7/((-441)/(-112)) + (-4)/(-18). Solve 737*w + 139*w - 11*w**2 - 71 + 319*w - 9*w**b + 371 = 0.
-1/4, 60
Let n = -937 + 942. Let u(z) be the third derivative of 0 + 0*z**3 + 1/36*z**4 - 1/90*z**n - 10*z**2 + 0*z. Factor u(l).
-2*l*(l - 1)/3
Let d = -1016 + 1019. Let n(q) be the first derivative of -1/12*q**4 - 1/3*q + 2 + 1/6*q**2 + 1/9*q**d. Determine p, given that n(p) = 0.
-1, 1
Let y(z) be the first derivative of z**5 - 80*z**4 + 2320*z**3/3 - 2240*z**2 - 2428. Factor y(h).
5*h*(h - 56)*(h - 4)**2
Let h(v) be the first derivative of -115 + 0*v + 0*v**3 + 5*v**4 + 0*v**2 + 1/3*v**6 + 14/5*v**5. Factor h(u).
2*u**3*(u + 2)*(u + 5)
Suppose -268 = 11*f + 56*f. Let u be 48/(-21)*((-130)/(-36) + f). Factor 10/9 + u*c - 2/9*c**2.
-2*(c - 5)*(c + 1)/9
Let l(y) be the second derivative of y**6/50 - 12*y**5/25 + 11*y**4/4 + 36*y**3/5 - 7135*y. Find h, given that l(h) = 0.
-1, 0, 8, 9
Suppose 26 = 2*v - 4*a, 5*v = -5*a + 2*a + 26. Suppose -v*f = -3*f - 8. Factor 9/2*k + 0 + 3*k**f - 3/2*k**3.
-3*k*(k - 3)*(k + 1)/2
Suppose -t - 2*t + 18 = 0. Suppose 0*i - 3*i + 154 = 4*h, -3*i = -2*h + 68. Factor -3*r - 34*r**3 + 6*r**2 + h*r**3 + t*r.
3*r*(r + 1)**2
Let h(f) = f**4 + 22*f**3 + 28*f**2 - 933*f + 1755. Let l(k) = 201*k**2 - 404*k**2 + 1 + k + 204*k**2. Let b(u) = -2*h(u) - 18*l(u). Solve b(q) = 0.
-14, 3
Let h(j) be the third derivative of j**8/1320 + j**7/4620 - j**6/330 + 17*j**3/6 + 30*j**2 - j. Let m(x) be the first derivative of h(x). Factor m(y).
2*y**2*(y + 1)*(7*y - 6)/11
Let w = 113458/7 + -16208. Determine i so that -w*i + 0*i**3 + 1/7*i**4 + 0 - 3/7*i**2 = 0.
-1, 0, 2
Suppose -51*h + 58*h - 21 = 0. Suppose 0 = -h*l + 6*l + 5*l. What is u in l + 0*u**4 - 3/2*u**5 + 0*u**2 + 6*u**3 + 0*u = 0?
-2, 0, 2
Let w(m) be the first derivative of m**4 - 364*m**3/3 - 2400*m**2 - 14832*m - 8578. Solve w(g) = 0 for g.
-6, 103
Let s(m) be the third derivative of 3*m - 49/3*m**3 + 1/5*m**5 + 1/120*m**6 + m**2 + 7/8*m**4 + 0. Let s(a) = 0. Calculate a.
-7, 2
Let i(h) be the first derivative of -8 - 2/3*h**3 + 9*h**2 + 22*h. Let v(g) = 3*g**2 - 18*g - 21. Let y(m) = -6*i(m) - 5*v(m). Let y(n) = 0. What is n?
-3
Let z(x) = 2*x**2 - 1. Suppose -13 + 0 = -13*l. Let o(h) = 3*h**3 - 20*h**2 + 75*h - 5. Let n(j) = l*o(j) - 5*z(j). Suppose n(w) = 0. Calculate w.
0, 5
Let n(w) be the second derivative of w**6/480 - 11*w**5/240 - w**4/8 + 79*w**2/2 + 44*w. Let g(d) be the first derivative of n(d). Factor g(z).
z*(z - 12)*(z + 1)/4
Let h(t) be the second derivative of -t**4/15 + 32*t**3/5 - 184*t**2/5 + 3*t + 31. Suppose h(l) = 0. What is l?
2, 46
Let s(p) be the third derivative of -p**7/700 + 2*p**6/75 - 17*p**5/100 + p**4/2 - 73*p**3/6 + 45*p**2. Let u(q) be the first derivative of s(q). Factor u(m).
-6*(m - 5)*(m - 2)*(m - 1)/5
Let f(l) = l**3 - l**2 - 3*l - 1. Let k(m) = 5*m**3 - 197*m**2 + 2493*m - 2305. Let q = -978 - -977. Let j(h) = q*f(h) + k(h). Solve j(y) = 0 for y.
1, 24
Let a(f) be the third derivative of -f**7/1365 + 7*f**6/156 + 98*f**5/195 + 40*f**4/39 - 1112*f**2. Find p such that a(p) = 0.
-4, -1, 0, 40
Let b(v) be the second derivative of -28 - 6*v**3 + v - 270*v**2 - 1/20*v**4. Solve b(q) = 0.
-30
Solve 311*g - 3*g**3 - 128*g**2 + 60*g - 211*g**2 + 319*g + 0*g = 0 for g.
-115, 0, 2
Let j(l) = 4*l**2 - 15*l - 107. Let z be j(19). Suppose 13*n**3 + z*n + 3*n**5 - 1052*n + 14*n**4 - n**2 - 5*n**2 = 0. Calculate n.
-3, -2, 0, 1/3
Let -1528*o**3 - o**4 + 744*o**3 + 764*o**3 = 0. Calculate o.
-20, 0
Let j be ((-23)/(-391)*0)/2. Let w(m) be the third derivative of 0