**4/16 + 6533*j**3/4 + 19881*j**2/8 - 4882. Factor q(g).
g*(g - 141)**2*(g + 1)/4
Let l be (-46 - 704)/(6/(-3))*(161/35 + -3). Determine r so that l + 40*r + 2/3*r**2 = 0.
-30
Let m(s) be the first derivative of -3*s**4/8 + 64*s**3 - 720*s**2 + 15380. Factor m(x).
-3*x*(x - 120)*(x - 8)/2
Suppose -4*z + 4*g + 16 = 0, -5*z + 17 = 192*g - 194*g. Let n(h) be the second derivative of -1/4*h**4 + 0*h**2 + 0*h**z - 3/5*h**5 + 0 - 23*h. Factor n(m).
-3*m**2*(4*m + 1)
Suppose -564 = 583*h - 724*h. Let s(f) be the second derivative of 0*f**3 + 0*f**h + 1/168*f**7 + 1/120*f**6 + 0*f**2 - 31*f + 0*f**5 + 0. Solve s(w) = 0 for w.
-1, 0
Let n(l) = l**3 + 13*l**2 - 11*l + 93. Let r be n(-15). Let m be ((-1)/2)/(r/256). Solve g + 0*g**2 - 1/3*g**3 + m = 0 for g.
-1, 2
Let p be ((-16)/12 - -2)*(-3)/(-11). What is m in 6/11*m**3 - 4/11*m + 0 - 2/11*m**2 - 2/11*m**5 + p*m**4 = 0?
-1, 0, 1, 2
Let n(g) be the third derivative of -g**5/270 - 7*g**4/54 - 11*g**3/9 + 730*g**2. Factor n(p).
-2*(p + 3)*(p + 11)/9
Let c = -431133/7 - -61591. Factor -2/7*k**2 + 0 - c*k**3 + 0*k - 2/7*k**4.
-2*k**2*(k + 1)**2/7
Suppose 0 = -20*p + 22*p + 14. Let s be -30*(-24)/(-4620)*p. Determine i, given that -s - 12/11*i**4 + 6/11*i**5 - 12/11*i**3 + 24/11*i**2 + 6/11*i = 0.
-1, 1, 2
Let c(a) be the third derivative of -a**7/420 - a**6/80 + 3*a**5/40 + 9*a**4/16 + 258*a**2. Solve c(p) = 0.
-3, 0, 3
Let p(l) be the second derivative of l**4/48 + 11*l**3/6 + 21*l**2/2 + 690*l. Factor p(s).
(s + 2)*(s + 42)/4
Let s = -374 + 370. Let j(x) = -x**3 - 25*x**2 + 5*x + 29. Let u(b) = b**3 + 27*b**2 - 4*b - 30. Let m(c) = s*u(c) - 3*j(c). Factor m(l).
-(l - 1)*(l + 1)*(l + 33)
Let o(f) be the second derivative of -f - 3/20*f**5 + 0*f**2 + 8 + 5/12*f**4 - 1/3*f**3. Factor o(y).
-y*(y - 1)*(3*y - 2)
Let s be (-28 - -30)*(444/223 - 2). Let c = s + 490/2453. Factor -2/11*f**4 + 0*f**3 + 0*f + 0 + c*f**2.
-2*f**2*(f - 1)*(f + 1)/11
Let c(j) be the third derivative of j**5/150 + 3*j**4/20 + 159*j**2 + 2*j. Determine y, given that c(y) = 0.
-9, 0
Let r(m) be the third derivative of m**6/120 - 5*m**5/3 - 203*m**4/24 - 17*m**3 - 8*m**2 - 62*m. Factor r(k).
(k - 102)*(k + 1)**2
Let z be (-11)/(22/(-48))*1. Let n = z - 21. Factor 15*x**2 + 9*x**n - 14*x + 9 - 12*x**3 - 7*x.
-3*(x - 3)*(x - 1)**2
Let u(g) be the second derivative of -17*g**4/20 + 133*g**3/10 + 36*g**2/5 - 8454*g. Solve u(p) = 0 for p.
-3/17, 8
Let a(q) be the third derivative of -q**9/1008 + q**8/140 - 3*q**7/280 - 47*q**3/3 - 6*q**2 + 7. Let i(k) be the first derivative of a(k). Factor i(b).
-3*b**3*(b - 3)*(b - 1)
Let b(a) be the second derivative of -a**7/84 - 11*a**6/60 + 13*a**5/20 - 2014*a. Factor b(j).
-j**3*(j - 2)*(j + 13)/2
Let m(g) = -4*g**3 + 11*g + 6*g**3 + 16*g - 9*g**2 + 21*g - 59*g. Let z(t) = 0*t**3 + t - 2*t + t**3 - 4*t - 4*t**2. Let v(o) = -2*m(o) + 5*z(o). Factor v(d).
d*(d - 3)*(d + 1)
Let z = -161648 - -484960/3. Solve 4/3*l**3 - 64/3 + 16/3*l**2 - z*l = 0.
-4, -2, 2
Let c(n) be the first derivative of -n**8/1680 - n**7/840 + n**6/360 + n**5/120 - 89*n**3/3 - 23. Let b(q) be the third derivative of c(q). Factor b(m).
-m*(m - 1)*(m + 1)**2
Let f(h) be the third derivative of -1/12*h**4 - 1/15*h**5 + 0 - 1/60*h**6 + 0*h**3 + 12*h**2 + h. What is q in f(q) = 0?
-1, 0
Suppose x + 3 = 10. Let w be 2/x + 342/126. Factor -7 - 12*c**3 - 15*c**2 + 5 + 2 - w*c.
-3*c*(c + 1)*(4*c + 1)
Let n = -299 - -321. Suppose 23*b - 25*b**3 + 15*b**2 - 3864*b**4 + n*b + 3869*b**4 = 0. What is b?
-1, 0, 3
Let g be 0/(6*3/6). Suppose 3*d - 4*j = -g + 5, 2*d + 2*j = 8. Factor -25*u**4 + 12*u - 17*u**d + 25*u**2 + 7*u**3 - 2*u.
-5*u*(u - 1)*(u + 1)*(5*u + 2)
Let y = -73488 + 73488. Suppose 0 + 3*a**2 - 9/2*a**4 + y*a - 2*a**5 + 1/2*a**3 = 0. Calculate a.
-2, -1, 0, 3/4
Let z(a) be the first derivative of a**3/15 - 19*a**2/2 + 186*a/5 + 65. Determine k, given that z(k) = 0.
2, 93
Let g(c) = 11*c**3 + 97*c**2 - 132*c - 17. Let a be g(-10). Let t(w) be the second derivative of 12*w - 3/20*w**5 + 0 + 0*w**a + 0*w**2 + 3/4*w**4. Factor t(v).
-3*v**2*(v - 3)
Let j(c) = -25*c**2 + 35*c - 90. Let f(g) = -g**2 - g. Let a(u) = -2*u - 11. Let p be a(-6). Let t(m) = p*j(m) - 20*f(m). Factor t(l).
-5*(l - 9)*(l - 2)
Suppose 4*u - 12 = -b, -112*u + b = -109*u - 16. Let w(h) be the second derivative of -29*h + 1/28*h**u - 12/7*h**2 - 1/7*h**3 + 0. Factor w(d).
3*(d - 4)*(d + 2)/7
Let r(v) be the second derivative of 0*v**2 + v - 18 - 1/24*v**4 - 11/12*v**3. Factor r(j).
-j*(j + 11)/2
Let y = 7683 + -7683. Let l(h) be the second derivative of 2/17*h**2 - 4*h + y - 5/51*h**3 + 1/34*h**4 - 1/255*h**6 + 1/170*h**5. Factor l(v).
-2*(v - 1)**3*(v + 2)/17
Let i(n) be the second derivative of 0 + 3/19*n**3 - 1/114*n**4 - 133*n - 14/19*n**2. Let i(h) = 0. Calculate h.
2, 7
Let l(c) be the third derivative of -1 + 2/315*c**7 + 9*c**2 + 17/180*c**5 - 23/144*c**4 + 1/6*c**3 - 1/30*c**6 + 0*c - 1/2016*c**8. Factor l(j).
-(j - 3)*(j - 2)*(j - 1)**3/6
Factor 104*j + 77*j + 13*j**2 + 200*j + 269*j - 18*j**2.
-5*j*(j - 130)
Let q be ((-10)/8)/5*(-56016)/2723. Factor -6/7*m**2 - 40/7 + 1/7*m**3 - q*m.
(m - 10)*(m + 2)**2/7
Let b = -36 + 40. Let p be 72/30 - b/10. Let -1/5*k**4 - 2/5*k**3 + 0*k + 0 - 1/5*k**p = 0. Calculate k.
-1, 0
Let c(f) be the first derivative of 31*f - 1/3*f**3 - 4*f**2 + 2/3*f**4 + 1/10*f**5 - 8. Let g(i) be the first derivative of c(i). Factor g(y).
2*(y - 1)*(y + 1)*(y + 4)
Solve -25/2*q + 33*q**2 - 24*q**4 + 5/2*q**5 + 10*q**3 - 9 = 0.
-1, -2/5, 1, 9
Let c(m) be the second derivative of -3/2*m**3 - 11/2*m**2 - 2*m + 11/8*m**4 + 1/5*m**5 + 0. Let i(x) be the first derivative of c(x). Let i(o) = 0. What is o?
-3, 1/4
Let 2/9*n**4 + 0 + 6*n - 2*n**2 - 2/3*n**3 = 0. What is n?
-3, 0, 3
Let v(y) be the third derivative of -y**6/40 + 4*y**5/5 - 7*y**4/2 + 146*y**2 + 1. Suppose v(n) = 0. What is n?
0, 2, 14
Let l = 99/47 - 67/188. Let f(q) be the second derivative of 3/20*q**5 - 27/2*q**2 - 13*q - l*q**4 + 0 + 15/2*q**3. Suppose f(s) = 0. What is s?
1, 3
Let z(a) be the third derivative of 8*a**2 + 0*a + 55/24*a**4 - 13/12*a**5 - 1 + 5/3*a**3. Factor z(f).
-5*(f - 1)*(13*f + 2)
Determine i so that 160/3 + 16*i + 2/3*i**2 = 0.
-20, -4
Factor -18*m**3 + 176/9 + 388*m**2 + 1576/9*m.
-2*(m - 22)*(9*m + 2)**2/9
Let l = -72 - -96. What is c in -21*c**2 - 15 - l*c**2 + 20*c + 42*c**2 - 2*c = 0?
1, 5
Let v = 2732738803814/974705352555 - -2/356382213. Let q = -2/547 + v. Let q*n**2 + 0 - 4/5*n = 0. Calculate n.
0, 2/7
Let -270*v - 738*v**2 - 321/2*v**3 + 0 - 15/2*v**4 = 0. What is v?
-15, -6, -2/5, 0
Let o(w) be the first derivative of w**6/21 - 22*w**5/35 + 19*w**4/7 - 104*w**3/21 + 24*w**2/7 - 984. Determine b so that o(b) = 0.
0, 1, 2, 6
Let c(u) be the third derivative of 4*u**7/105 - 67*u**6/30 - 2047*u**5/120 - 461*u**4/24 - 37*u**3/4 + 12826*u**2. Solve c(j) = 0 for j.
-3, -1/4, 37
Let 53/3*i**2 + 0 - 53/3*i**4 + 0*i - 1/3*i**5 + 1/3*i**3 = 0. What is i?
-53, -1, 0, 1
Let h(z) be the third derivative of z**6/360 - z**5/9 - 67*z**4/8 - 171*z**3 - 2*z**2 + 29*z + 31. Factor h(g).
(g - 38)*(g + 9)**2/3
Let t = -250 + 252. What is h in -46 + 7*h**2 - 54 + 60*h - 12*h**t + 0*h**2 = 0?
2, 10
Let l(t) be the second derivative of 2*t**7/21 + 22*t**6/15 - 108*t**5/5 + 304*t**4/3 - 704*t**3/3 + 288*t**2 - 2604*t. Factor l(z).
4*(z - 2)**3*(z - 1)*(z + 18)
Let z = 49 + -48. Let p be (32 - 4)/4 + z. Determine m, given that -9*m**2 + 2*m**5 + 0*m + 10*m**4 - 3*m**2 - p + 10*m**2 + 14*m**3 - 16*m = 0.
-2, -1, 1
Let v be (231/1386)/((-15)/2)*-6*1. Find l such that 0 + 16/15*l + 2/15*l**4 - v*l**2 - 16/15*l**3 = 0.
-1, 0, 1, 8
Suppose -24*x**5 - 12038*x**2 + 103*x + 150*x**4 + 14933*x**2 + 1875*x**3 + 195 + 1286*x = 0. What is x?
-5, -1, -1/2, -1/4, 13
Let m(l) be the third derivative of -l**6/300 + 23*l**5/150 - 91*l**4/60 - 169*l**3/5 + 76*l**2 + 11. Factor m(o).
-2*(o - 13)**2*(o + 3)/5
Let n(z) be the second derivative of 1/4*z**4 - 51/2*z**2 - 8*z**3 + 0 - 149*z. Factor n(s).
3*(s - 17)*(s + 1)
Let r(n) be the second derivative of 16*n - 8/9*n**2 - 1/30*n**5 + 4/9*n**3 - 1 - 1/27*n**4 + 1/135*n**6. Let r(b) = 0. What is b?
-2, 1, 2
Let m(i) = 12*i**4 + 172*i**3 + 92*i**2 - 8*i - 20. Let c(q) = 6*q**3 + 2*q**2 - q - 1. Let p(g) = 20*c(g) - m(g). Let p(t) = 0. Calcula