+ 1/2*m**4 + 5*m**3 = 0.
-11, -2, 1, 2
Let s(v) be the first derivative of -v**6/39 + 36*v**5/65 + 42*v**4/13 + 176*v**3/39 + 558. Factor s(c).
-2*c**2*(c - 22)*(c + 2)**2/13
Let f be ((-200)/80)/(5/(-8)). Factor -6*i + f*i**2 - 5 + 45 - 22*i.
4*(i - 5)*(i - 2)
Let m(h) = -h**2 - 2*h + 3. Let w(y) = -6*y**2 - 244*y + 30. Let x(f) = -10*m(f) + w(f). Determine i so that x(i) = 0.
0, 56
Find h, given that 128/3*h**2 + 5280*h + 163350 = 0.
-495/8
Let l(d) = 7*d**2 - 69*d. Let m(s) = 8*s**2 - 71*s. Let y(z) = -z**3 - 3*z**2 - 4*z - 14. Let q be y(-3). Let b(h) = q*m(h) + 3*l(h). Factor b(c).
5*c*(c - 13)
Suppose 8 = 3*i + 2. Suppose i*f - d = -2*f + 29, 0 = -f - 2*d + 14. Let -12*q - 20*q**3 + 11*q**4 - 8*q**4 + 3 + f*q**3 + 18*q**2 = 0. What is q?
1
Let q be -3 - 0/(-2) - (-5 - 0). Let a be (1 - q) + (-2 - -5). Factor -6*w**2 + 20 + 2*w**a + 8*w**2 + 24*w.
4*(w + 1)*(w + 5)
Let p = 1279727 + -8958087/7. Determine l so that 0 + 0*l + 22/7*l**2 + p*l**3 = 0.
-11, 0
Let m(j) be the third derivative of -5*j**8/336 - 845*j**7/42 - 421*j**6/3 - 841*j**5/3 + 3685*j**2. Let m(x) = 0. Calculate x.
-841, -2, 0
Let y(s) be the second derivative of -10/3*s**4 + 2/3*s**3 - 21/20*s**5 + 0*s**2 - 35*s + 0. Suppose y(r) = 0. What is r?
-2, 0, 2/21
Let n(y) be the first derivative of -y**4/2 - 70*y**3 + 1738. Factor n(v).
-2*v**2*(v + 105)
Determine a, given that -7168*a + 2*a**2 + 432 + 7288*a + a**2 = 0.
-36, -4
Let q(s) be the second derivative of s**5/30 + 4*s**4/9 - 451*s**3/9 + 442*s**2/3 + 1816*s. Factor q(d).
2*(d - 17)*(d - 1)*(d + 26)/3
Let d(v) = -v**3 + 10*v**2 + 5*v - 47. Let x be d(10). Factor -38*i**3 - 2*i**2 + 18*i**3 + 19*i**x.
-i**2*(i + 2)
Suppose -28 = 5*o - 2*m, 5*m + 19 = 14. Let b be (-11)/((-1320)/(-16))*o. Suppose 2*u + 8/5*u**2 + b + 2/5*u**3 = 0. Calculate u.
-2, -1
Let u(m) be the first derivative of -m**5/10 - 5*m**4/2 + m**3/2 + 29*m**2/2 - 20*m + 1961. Factor u(t).
-(t - 1)**2*(t + 2)*(t + 20)/2
Find r, given that -2/17*r**4 + 16/17*r**3 - 16/17*r + 32/17 - 30/17*r**2 = 0.
-1, 1, 4
Solve 153/5*d**2 - 31*d - 1/5*d**4 - 49/5*d**3 + 52/5 = 0 for d.
-52, 1
Let f(k) = -k**2 - 3*k. Let j be f(-1). Factor 92 - 3*n**j - 15*n + 99 - 209.
-3*(n + 2)*(n + 3)
Suppose 4*l + 2130 = 5*n - l, -4*n = l - 1694. Let u be (n/(-1325))/((-9)/(-5) - 2). Factor 2/5*c**3 + 8/5*c**2 - u - 2/5*c.
2*(c - 1)*(c + 1)*(c + 4)/5
Suppose z**2 - 2*z - 30*z - 10*z - 6*z + 6*z - 135 = 0. Calculate z.
-3, 45
Let x(k) be the first derivative of -k**7/70 - 3*k**6/40 - 3*k**5/20 - k**4/8 - k**3/3 - 11*k + 10. Let o(l) be the third derivative of x(l). Factor o(w).
-3*(w + 1)**2*(4*w + 1)
Let y(f) be the second derivative of 5*f**7/42 + 5*f**6/2 + 71*f**5/4 + 665*f**4/12 + 90*f**3 + 80*f**2 + f + 1924. Factor y(k).
5*(k + 1)**3*(k + 4)*(k + 8)
Suppose -244*t = -371*t + 254. Let v(n) be the first derivative of -n + 16 - 5/8*n**t - 1/12*n**3. Let v(f) = 0. What is f?
-4, -1
Let y(g) be the second derivative of -g**8/336 - g**7/420 + g**6/72 + g**5/60 - 19*g**3/3 - 85*g. Let a(l) be the second derivative of y(l). Factor a(r).
-r*(r - 1)*(r + 1)*(5*r + 2)
Suppose 1177 = -13*l - 877. Let r = l + 160. Factor 0*z + 0 + 0*z**r + 1/3*z**4 - 1/3*z**3.
z**3*(z - 1)/3
Suppose -3652/7*u**2 - 240/7*u**3 - 2152/7*u + 16/7*u**5 + 508/7*u**4 + 768/7 = 0. Calculate u.
-32, -2, -1, 1/4, 3
Let q(j) = -3*j**4 - 33*j**3 + 38*j**2 + 38*j - 10. Let t(h) = -h**4 - 10*h**3 + 13*h**2 + 13*h - 3. Let z(s) = 3*q(s) - 10*t(s). Factor z(o).
o*(o - 4)*(o + 1)*(o + 4)
Let d = 565 + -563. Let i(w) be the second derivative of -6*w**d + 1/3*w**4 + 4/3*w**3 + 0 + w. Factor i(p).
4*(p - 1)*(p + 3)
Solve 196*f - 1766/9 + 2/9*f**2 = 0 for f.
-883, 1
Let t be 1 + 2 + (-5)/((-15)/(-6)). Let g be (t/3)/(3/135). Factor -5*v**2 - 8*v**2 + 11*v**2 + g*v + 20 - 3*v**2.
-5*(v - 4)*(v + 1)
Let f(x) = x**2 - 5*x + 2. Let g be 2/4*2/(-3)*-15. Let n be f(g). Factor c**4 - n*c**3 - 180*c + 180*c.
c**3*(c - 2)
Let u(r) be the second derivative of -r**6/40 + 11*r**5/20 + 127*r**2/2 + 15*r - 4. Let k(y) be the first derivative of u(y). Factor k(c).
-3*c**2*(c - 11)
Let x = -110511 + 110511. Determine i so that -5/3*i**3 - 10/3*i**2 + 0 + x*i = 0.
-2, 0
Let n(a) be the second derivative of -a**7/12600 + a**6/600 - a**5/120 + 85*a**4/12 - 2*a + 36. Let c(w) be the third derivative of n(w). Factor c(x).
-(x - 5)*(x - 1)/5
Let f(y) = 4*y**2 + 76*y + 4. Let u(b) = 215 + 215 - 429 + 3*b. Let l(t) = -f(t) + 4*u(t). Factor l(g).
-4*g*(g + 16)
Let b(i) = 51*i**2 - 1416*i - 8352. Let m(a) = 24*a**2 - 706*a - 4176. Let y(u) = 7*b(u) - 15*m(u). Determine t so that y(t) = 0.
-6, 232
Factor 54*r**2 + 38*r**2 - 82*r**2 + 27*r + 29*r**2.
3*r*(13*r + 9)
Let y(s) be the third derivative of -8/27*s**3 + 0 + 1/90*s**5 - 1/945*s**7 - s**2 + 5/54*s**4 - 1/135*s**6 - s. Suppose y(i) = 0. What is i?
-4, -2, 1
Let y(h) = 3*h + 109. Let d be y(-36). Let g be -6*(-3)/18*d - 1. Determine w, given that -15/2*w + 3/2*w**2 + g = 0.
0, 5
Let y(n) be the third derivative of -n**6/270 + 4*n**5/135 + n**4/54 - 8*n**3/27 - 1050*n**2. Solve y(h) = 0.
-1, 1, 4
Let c(s) = -s**2 + s - 1. Suppose 0*h - h - 8 = 0. Let n be (h - -6)*((-15)/6)/5. Let w(b) = 2*b**2 + 14*b - 18. Let v(x) = n*w(x) - 2*c(x). Factor v(f).
4*(f - 1)*(f + 4)
Let s = 445747/5 + -89143. Factor -s - 4/5*h**4 - 16*h - 28/5*h**3 - 72/5*h**2.
-4*(h + 1)*(h + 2)**3/5
Let x(j) = j**3 + 21*j**2 - 43*j + 37. Let q be x(-23). Let z = -223/7 - q. Solve z*t**2 + 0 - 2/7*t = 0.
0, 2
Let c be (-9)/1 - ((-544)/22 - -7). Factor -2/11*h**2 - c*h - 1152/11.
-2*(h + 24)**2/11
Let w be (1/2)/((-2)/(-8)). Let d(c) = -2*c**3 + 7*c**2 + 520*c + 455. Let q be d(-14). Factor -5/4*v**w + q*v - 245.
-5*(v - 14)**2/4
Let w(s) be the second derivative of 0 + 20/3*s**4 + 26*s - 1/4*s**5 - 50/3*s**3 - 1000*s**2. Factor w(j).
-5*(j - 10)**2*(j + 4)
Let o(f) be the second derivative of 0*f**2 + 0*f**4 - 4/3*f**3 - 38 + f + 1/10*f**5. Suppose o(j) = 0. What is j?
-2, 0, 2
Let y(l) be the first derivative of -53 - 11/4*l**4 + 5/3*l**3 + 14*l**2 + 12*l. Suppose y(k) = 0. What is k?
-1, -6/11, 2
Factor -63948 - 292*u - 1/3*u**2.
-(u + 438)**2/3
Let f(z) be the second derivative of 5*z**7/14 - 37*z**6/6 + 18*z**5 - 25*z**4/3 - 57*z. What is k in f(k) = 0?
0, 1/3, 2, 10
Let g(u) be the second derivative of u**5/4 + 95*u**4/6 - 75*u**3/2 - 585*u**2 + 46*u + 15. Factor g(s).
5*(s - 3)*(s + 2)*(s + 39)
Let b(v) be the first derivative of -v**4/30 + v**3/3 - 4*v**2/5 + 85*v - 44. Let m(z) be the first derivative of b(z). Factor m(j).
-2*(j - 4)*(j - 1)/5
Suppose 2*a - 4*m + 3*m - 4 = 0, -2*a = m - 4. Factor 9*c**4 + 43*c**3 - 42*c**2 - 8*c + 94*c**2 - 26*c**a.
c*(c + 1)*(c + 4)*(9*c - 2)
Factor -106722/13 - 200/13*y**2 + 9240/13*y.
-2*(10*y - 231)**2/13
Let b(q) be the third derivative of -q**7/735 + q**6/28 - 37*q**5/105 + 11*q**4/7 - 24*q**3/7 - 17*q**2 - 18*q. Solve b(a) = 0.
1, 2, 6
Let v(t) be the first derivative of -t**5/10 - 99*t**4/8 + t**3/6 + 99*t**2/4 - 1742. Factor v(h).
-h*(h - 1)*(h + 1)*(h + 99)/2
Let c(z) = -3*z**3 - 11*z**2 + 718*z + 5088. Let a(i) = 6*i**3 + 23*i**2 - 1435*i - 10170. Let p(y) = 2*a(y) + 5*c(y). Factor p(s).
-3*(s - 17)*(s + 10)**2
Let 3*w**5 - 942*w**3 + 1206*w**2 + 1860 - 135*w**4 - 4171 + 1240 + 776*w + 441*w - 278*w = 0. Calculate w.
-7, -1, 1, 51
Let g(m) be the third derivative of -4*m**2 + 0 + 1/6*m**4 + 1/60*m**5 + m + 1/2*m**3. Factor g(d).
(d + 1)*(d + 3)
Let p(d) be the third derivative of d**5/210 + 587*d**4/28 - 1762*d**3/21 + 824*d**2. Factor p(t).
2*(t - 1)*(t + 1762)/7
Suppose -2310*z + 3033*z = 34704. Let 0 - z*b**2 + 0*b - 4/3*b**3 = 0. Calculate b.
-36, 0
Let 836501 + 78610*z**3 + 1065*z**4 + 5*z**5 + 8617048 + 2210680*z**2 + 12786796 + 15120480*z - 230105 = 0. What is z?
-68, -7, -2
Let v = -31759/2 + 15882. Factor 45 + v*i**2 + 45/2*i.
5*(i + 3)*(i + 6)/2
Let x(c) be the third derivative of 0*c - 29 + 16*c**4 - 7/2*c**5 + 9/40*c**6 + c**2 + 16*c**3. Find l, given that x(l) = 0.
-2/9, 4
Solve 0 - 18*n**2 + 36/5*n**4 + 3/5*n**5 + 0*n + 51/5*n**3 = 0 for n.
-10, -3, 0, 1
Let r be (-6)/8 + (-6)/(-3240)*485. Let f(t) be the second derivative of 1/27*t**4 - 3*t + 0*t**2 + r*t**3 + 0. Factor f(v).
4*v*(v + 2)/9
Factor 0*t + 0 + 1/3*t**3 + 301/3*t**2.
t**2*(t + 301)/3
Let f(x) be the se