 - 3*u + 0 - w*u**4 - 18*u**2. Factor j(o).
-4*(o + 3)**2
Solve -1/2*m**2 - 86528 - 416*m = 0 for m.
-416
Let g(a) be the first derivative of -11*a**5/15 - 19*a**4/2 - 20*a**3/3 - a**2/2 - 39*a - 44. Let i(l) be the second derivative of g(l). Factor i(f).
-4*(f + 5)*(11*f + 2)
Let m(l) be the second derivative of -l**5/40 + 131*l**4/60 - 839*l**3/60 + 147*l**2/10 - 20*l - 39. Factor m(z).
-(z - 49)*(z - 3)*(5*z - 2)/10
Let y(m) be the first derivative of 3*m**4/16 - 228*m**3 + 621063*m**2/8 + 626547*m/2 - 2791. Factor y(j).
3*(j - 457)**2*(j + 2)/4
Let w = 6 - 4. Suppose 2*x - 6 = 2*v, 3*v - 3 = 1030*x - 1031*x. Factor -1/2 + v*a + 1/2*a**w.
(a - 1)*(a + 1)/2
Let w be (-20)/(-15) - ((-115)/15 + 7). Let h(s) be the third derivative of 0 + 0*s + s**w - 1/8*s**4 + 3/4*s**3 + 1/120*s**5. Factor h(v).
(v - 3)**2/2
Let o = -77894 - -77897. Let -48/5*l**2 + 0*l + 0 - 3/5*l**o = 0. What is l?
-16, 0
Factor -1/3*f**2 + 233/3*f + 470/3.
-(f - 235)*(f + 2)/3
Let j be 0*((-322)/(-63) + -5). Let w(f) be the second derivative of -1/15*f**3 + 19/60*f**4 + 0 - 20*f + j*f**2. What is l in w(l) = 0?
0, 2/19
Let p = 27108/11 + -215973/88. Let -p*w**3 + 27/4*w**4 + 0 + 3/4*w + 21/8*w**2 = 0. Calculate w.
-1/6, 0, 2/3, 1
Let w be ((-81)/(-297))/(-3 + 6). Let m(v) be the second derivative of -w*v**2 + 0 + 9*v + 5/33*v**3 - 2/33*v**4. Let m(x) = 0. What is x?
1/4, 1
Determine z so that -16*z**2 + 57*z + 42*z - 114*z**4 - 82*z**3 + 15*z**2 - 17*z + 115*z**4 = 0.
-1, 0, 1, 82
Let b(h) be the first derivative of -h**4 - 8*h**3/3 + 146*h**2 - 280*h - 1119. Factor b(n).
-4*(n - 7)*(n - 1)*(n + 10)
Suppose 15/4*u**2 + 3/4*u**3 - 27/4 + 9/4*u = 0. What is u?
-3, 1
Let g = -2/2863 - -8639/71575. Let j(c) be the second derivative of 3*c - 2/5*c**4 - g*c**5 - 1/75*c**6 + 0 - 3/5*c**2 - 2/3*c**3. Factor j(s).
-2*(s + 1)**3*(s + 3)/5
Let y(s) = -95*s + 8. Let a(u) = -u**2 - 2*u - 8. Let o(q) = -a(q) - y(q). Find n, given that o(n) = 0.
-97, 0
Let w(j) be the first derivative of -15*j**4/4 + 170*j**3/3 + 215*j**2/2 - 370*j + 1167. Factor w(q).
-5*(q - 1)*(q + 2)*(3*q - 37)
Let a(g) be the third derivative of -g**5/60 - 169*g**4/12 - 337*g**3/6 + 3025*g**2 + 2. Factor a(l).
-(l + 1)*(l + 337)
What is b in 14*b**3 + 11 + 32*b - b**5 + 117 + 1142*b**4 - 1137*b**4 - 88*b**2 = 0?
-4, -1, 2, 4
Factor 1/4*m**2 + 99/2*m + 9801/4.
(m + 99)**2/4
Let v be (3/6)/(2 - -1). Let y = -2232 - -2234. What is f in -1/6*f**y + 0 + v*f = 0?
0, 1
Let n(k) = -6*k - 3. Let c be n(-4). Let u be (2 - 18)*(-8)/(32/c). Find l, given that 6*l + 4*l**5 - 2*l - u*l**3 + 76*l**3 = 0.
-1, 0, 1
Let z(a) = -a**2 - 7*a + 10. Let t be z(-8). Suppose -3*h = -h + t*c - 94, -c + 91 = 2*h. Solve 2*k - 3*k**2 + 2*k**2 + h - 44 = 0 for k.
0, 2
Let u(v) be the first derivative of v**4/8 - 28*v**3 + 333*v**2/4 - 83*v - 10519. Factor u(n).
(n - 166)*(n - 1)**2/2
Let r(b) = b + 11. Let l(t) = -t**2 + 5*t + 5. Let c be l(7). Let a be r(c). Find u, given that u**a - 7*u**2 + 2*u**3 + 0*u**3 + u**3 - 9*u = 0.
-1, 0, 3
Let j(v) = -2978*v + 41692. Let t be j(14). Find l such that t*l + 16*l**2 - 1/2*l**3 + 0 = 0.
0, 32
Let h(d) be the third derivative of 2/75*d**5 + 0*d**6 + 75*d**2 + 0 + 0*d - 1/525*d**7 + 0*d**3 + 0*d**4. Factor h(i).
-2*i**2*(i - 2)*(i + 2)/5
Suppose l + 4*v - 20 = 0, -l - 34*v = -22*v - 60. Suppose -6*x + 8*x - 8 = 0. What is p in -3/4*p**2 + l*p**3 - 3/8*p + 0 + 3/4*p**x + 3/8*p**5 = 0?
-1, 0, 1
Let o(n) = 8*n + 17. Let z(h) = -h - 1. Let l(i) = -o(i) - 3*z(i). Let a be l(-4). Factor 6*f**3 + 0*f**2 - 24*f + 16 + a*f**2 + 0*f**2 - 2*f**4 - 2*f**2.
-2*(f - 2)**2*(f - 1)*(f + 2)
Find n such that -430*n**3 - 301*n**3 - 531*n**3 + 2 + 353*n**3 - 75*n - 99*n**3 + 757*n**2 + 324*n**4 = 0.
1/18, 1, 2
Let h(x) be the second derivative of x**3 - x + 14 - 15/4*x**2 + 1/8*x**4. What is w in h(w) = 0?
-5, 1
Let h(a) = 7*a**3 + a**2 - 81*a - 85. Let t(l) = l**3 + l**2 + l - 1. Let m(b) = -h(b) + 5*t(b). Find s, given that m(s) = 0.
-5, -1, 8
Let a(f) be the second derivative of -f**4/8 + 15*f**3/2 - 243*f**2/4 + 3*f - 202. Factor a(o).
-3*(o - 27)*(o - 3)/2
Suppose 4*f + 5*b = -3, -f + 10*b + 9 = 8*b. Factor -f*u**5 + 2*u**3 - u**3 + 4*u**5 + 16*u - 9*u**3.
u*(u - 2)**2*(u + 2)**2
Let c = 207835/6 + -34639. Factor c*x**2 + 0 + 1/3*x.
x*(x + 2)/6
Solve 70 + 741*q - 4*q**2 + 609 + q**2 + 65 = 0.
-1, 248
Let v(l) be the third derivative of l**6/600 - 13*l**5/300 + 47*l**4/120 - 7*l**3/6 + 2*l**2 + 1145. Factor v(h).
(h - 7)*(h - 5)*(h - 1)/5
Let 1760*z**2 + 1711 + 6992*z - 1447 + 304 + 6408 + 4*z**3 = 0. Calculate z.
-436, -2
Let g be -3 - (-5 - -20) - -18. Let k(q) be the second derivative of -15*q**2 - 35/6*q**3 - 5/12*q**4 + g - 6*q. Solve k(y) = 0.
-6, -1
Let j(p) = -4264*p + 119394. Let c be j(28). Factor -1/2*u**c - 1568 + 56*u.
-(u - 56)**2/2
Let y be ((26784/45)/24 - 12)*5. Factor 64/5*n**3 - y + 512/5*n - 288/5*n**2 - 4/5*n**4.
-4*(n - 10)*(n - 2)**3/5
Let l be -4 - (0 + (-67842)/(-114)). Let n = -599 - l. Suppose -2/19*t**2 + 0 + 2/19*t - 2/19*t**3 + n*t**4 = 0. Calculate t.
-1, 0, 1
Let f = 10/663 - 259/31824. Let x(m) be the third derivative of 35*m**2 - 1/180*m**5 - 1/720*m**6 + 0*m + 0 + 0*m**3 - f*m**4. Suppose x(d) = 0. What is d?
-1, 0
Let w(y) = 1812*y + 12686. Let q be w(-7). Factor 27/7*b - 6 - 3/7*b**q.
-3*(b - 7)*(b - 2)/7
Let d(w) = 15*w**2 + 105*w + 178. Let g(r) = 57*r**2 + 417*r + 711. Let t(c) = -15*d(c) + 4*g(c). Let t(u) = 0. Calculate u.
-29, -2
Let u(q) = -12348*q + 135852. Let p be u(11). Factor -45 - 3/4*d**2 + p*d.
-3*(d - 30)*(d - 2)/4
Let h(y) be the second derivative of 0 + 7*y - 2/3*y**3 - 1/15*y**5 + 6*y**2 - 1/3*y**4. Let a(g) be the first derivative of h(g). Solve a(k) = 0 for k.
-1
Let w(f) = f**3 - 167*f**2 + 344*f - 3. Let v(u) = 3*u**3 + u**2 - 3. Let b(a) = v(a) - w(a). Factor b(d).
2*d*(d - 2)*(d + 86)
Let z be (-7 + (4760/(-96))/(-7))*(-33 - -60). Let -39/4*g**3 + 39/4*g**4 + 9/4*g**2 - z*g**5 + 0 + 0*g = 0. What is g?
0, 1/3, 1, 3
Let y(n) be the second derivative of n**4/3 + 8*n**3/3 + 768*n. Factor y(v).
4*v*(v + 4)
Let s(w) = -w**3 - 17*w**2 + 34*w - 8. Let d be s(-19). Determine x, given that 2*x**2 + 7*x**2 + d*x**3 - 65*x**3 + 3*x**5 - 3*x - 3*x - 9*x**4 = 0.
-1, 0, 1, 2
Let 2/3*c**4 - 8/3*c**2 - 10/3*c**3 + 0 + 40/3*c = 0. What is c?
-2, 0, 2, 5
Let y be (4 - 2)/2 - (-151351)/(-81606). Let s = 1/402 - y. Factor -3/7*x**2 + s*x + 9/7.
-3*(x - 3)*(x + 1)/7
Let i(c) be the second derivative of -5*c**8/1848 - 2*c**7/1155 - 17*c**2/2 - 37*c. Let g(d) be the first derivative of i(d). Solve g(f) = 0.
-2/5, 0
Let 1720*i**3 - 317560*i + 4176*i**2 + 100*i**4 + 80 + 313368*i + 816 = 0. Calculate i.
-14, -4, 2/5
Let m(r) be the first derivative of -r**6/60 + r**5/5 - 2*r**4/3 - 5*r**2/2 - 6. Let u(z) be the second derivative of m(z). Determine v so that u(v) = 0.
0, 2, 4
Let q(p) be the second derivative of p**5/20 + 23*p**4/12 - 1552*p. Factor q(z).
z**2*(z + 23)
Suppose 0 = 5*y - i - 163917 + 5985, 63174 = 2*y - i. Solve 1 + 148*p - 31570*p**2 + y*p**2 + 35 = 0 for p.
-9, -1/4
Suppose 936*c = 942*c + 1 - 13. Let 12/5*n + 36/5 - 9/5*n**c - 3/5*n**3 = 0. What is n?
-3, -2, 2
Let d(n) be the third derivative of -3*n**5/5 - n**4/8 + 266*n**2 - n. What is s in d(s) = 0?
-1/12, 0
Solve 1/5*r**3 + 891/5 - 117/5*r - 7/5*r**2 = 0 for r.
-11, 9
Let m(p) be the first derivative of -p**3/21 - 5*p**2/2 + 36*p/7 + 3959. Factor m(r).
-(r - 1)*(r + 36)/7
Let x = -203 + 220. Determine p, given that 10*p - 35*p**2 + 0*p**5 - 25*p**4 - 4*p**5 + 28*p**3 + 9*p**5 + x*p**3 = 0.
0, 1, 2
Let b(a) = -a**4 + a**3 + a**2 + 2. Let g = 602 + -612. Let u(y) = -4*y**4 + 9*y**3 + 2*y**2 - 10*y + 18. Let h(q) = g*b(q) + 2*u(q). Factor h(c).
2*(c - 1)**2*(c + 2)*(c + 4)
Suppose -3*a = a - 790 + 774. Let l(s) be the first derivative of 3/14*s**a + 4/21*s**3 - 25 - 2/35*s**5 - 12/7*s**2 + 16/7*s. Let l(m) = 0. Calculate m.
-2, 1, 2
Let r(z) be the second derivative of z**7/28 - 19*z**6/20 + 333*z**5/40 - 229*z**4/8 + 49*z**3 - 45*z**2 + 43*z - 1. What is p in r(p) = 0?
1, 6, 10
Suppose 0 = -4*v + v + 18. Let s be ((-33)/(-12))/(5/20). Factor v - 4 + 4*j**2 - s*j**2 - 4*j**2 - 9*j.
-(j + 1)*(11*j - 2)
Let h(g) = g**3 - g**2 - g + 3. Let p be h(0). Factor l - 2*l + 11*l**3 + 20*l**2 + l - 6*l**p.
5*l**2*(l + 4)