- 3/5*w**2 + 34 - 2/15*w**3. Factor l(d).
-2*d*(d + 3)/5
Let c(p) be the third derivative of -23*p**6/120 - 47*p**5/60 - p**4/12 - 1377*p**2. Find y such that c(y) = 0.
-2, -1/23, 0
Suppose 3 - 15 = -3*x. Factor 131*a**2 - 262*a**2 + 132*a**2 + x + 4*a.
(a + 2)**2
Let u = 548946 - 3842598/7. Solve 0 - 6/7*h**4 - u*h**3 + 114/7*h**2 - 12*h = 0 for h.
-7, 0, 1, 2
Let d(s) = 2*s**2 + 14*s + 20. Let q be d(-6). Suppose 3*y = q*y - 170. Solve 75*h + y*h - 21*h - 32 - 20*h**2 = 0.
2/5, 4
Suppose -11*m - 6 = -13*m. Suppose 44 = -m*b + 25*b. Suppose 4/3 + 2/3*j**b - 2*j = 0. Calculate j.
1, 2
Let k(i) be the second derivative of i**6/30 - 27*i**5/20 - 287*i**4/4 - 6713*i**3/6 - 8232*i**2 - 2877*i. Let k(r) = 0. Calculate r.
-7, 48
Let j be 1630/(-110) + 45*16/48. Determine c so that 0 + 8/11*c + j*c**2 = 0.
-4, 0
Let k(l) be the second derivative of l**6/120 + 19*l**5/80 + 21*l**4/16 + 15*l**3/8 + 21*l + 12. Determine i, given that k(i) = 0.
-15, -3, -1, 0
Let y(r) be the third derivative of -1/3*r**4 + 0 - 3*r + 0*r**3 + 1/15*r**5 + 3*r**2. Determine s, given that y(s) = 0.
0, 2
Let h(p) = -p**2 - 643*p + 1302. Let l(r) = -6*r**2 - 3859*r + 7810. Let m(o) = -34*h(o) + 6*l(o). Let m(s) = 0. Calculate s.
-648, 2
Let h(n) be the third derivative of 0 + 3/440*n**6 + 9/88*n**4 + 82*n**2 + 0*n + 0*n**3 - 9/220*n**5 - 1/2310*n**7. Factor h(j).
-j*(j - 3)**3/11
Let f be 2/6*(-5 + 26)*(-14)/(-49). Let r(y) be the first derivative of -1/2*y - 1/16*y**4 - 1/3*y**3 + 9 - 5/8*y**f. Factor r(h).
-(h + 1)**2*(h + 2)/4
Let q be ((-6)/7)/(406/(-196) - -2). Suppose -q*s = -16*s. Factor 8/3*o**4 + s*o + 4/3*o**3 + 4/3*o**5 + 0 + 0*o**2.
4*o**3*(o + 1)**2/3
Let z(s) = -s**3 + 2*s. Let p(t) = -3*t**3 - 12*t**2 + 27*t - 6. Let n = -390 - -396. Let x(m) = n*z(m) - p(m). Suppose x(g) = 0. What is g?
1, 2
Let a(o) = -o**2 - 213*o - 628. Let y be a(-3). Let g(z) be the third derivative of -10*z**y + 0*z + 0*z**3 + 0*z**5 + 0 + 0*z**4 - 1/120*z**6. Factor g(u).
-u**3
Let j = -118 + 142. Let p be (1*22 - 0/1) + 1. Factor 42*b**2 - j*b**2 - 30 + 25*b - p*b**2.
-5*(b - 3)*(b - 2)
Let f(h) be the second derivative of h**5 + 8/3*h**4 + 0 - 128*h + 8/3*h**3 + 2/15*h**6 + 0*h**2. Factor f(c).
4*c*(c + 1)*(c + 2)**2
Let i(m) be the first derivative of -6/11*m**3 + 6/55*m**5 - 15/11*m**2 - 12/11*m + 41 + 3/22*m**4. Factor i(w).
6*(w - 2)*(w + 1)**3/11
Let y = 180005/13 - 13839. Factor 0 + 12*c**3 + 224/13*c**2 + y*c + 32/13*c**4 + 2/13*c**5.
2*c*(c + 1)**2*(c + 7)**2/13
Let r(g) = -16*g - 107. Let j be r(-32). Find u, given that 2*u**3 - 15*u**3 + 275*u**2 - 2*u**3 - 1305*u + j = 0.
1/3, 9
Let s(a) be the first derivative of -a**6 - 105*a**5/2 + 447*a**4/2 - 349*a**3 + 246*a**2 - 141*a/2 - 325. Determine x so that s(x) = 0.
-47, 1/4, 1
Factor 2758/5 - 2/5*t**2 - 76*t.
-2*(t - 7)*(t + 197)/5
Suppose 8 = 6*b - 2*b. Let z(d) = -d**2 + 8*d + 11. Let f be z(9). Factor 2*a**2 + f*a**2 - 4*a - 4*a**b + 8*a**3 - 6*a**4 + 2*a**2.
-2*a*(a - 1)**2*(3*a + 2)
Suppose 0 = -443*m + 213*m + 221*m. Suppose 0*s + 0*s**2 + 0*s**3 - 2/7*s**5 + m + 0*s**4 = 0. What is s?
0
Suppose -r + 2*b = 8 - 2, -16 = 2*r - 5*b. Let n = 744 + -729. Let 4*p**2 - 12*p**4 - n*p**3 - 10*p - 3*p**5 + 10*p - 10*p**r = 0. What is p?
-2, -1, 0
Let y(o) = -3*o**4 + 2*o**3 - o. Let t(m) = 5*m**4 - 45*m**3 + 171*m**2 + 649*m + 432. Let d(c) = -t(c) - y(c). Factor d(n).
-(n - 12)**2*(n + 1)*(2*n + 3)
Determine x so that 450 - 5*x**3 - 42*x**2 - 42*x**2 + 34*x**2 + 111*x - 66*x = 0.
-10, -3, 3
Factor 53*u**2 + 87*u**2 + 2*u**3 - 261*u**2 - 766*u - 145*u**2 - 384 - 114*u**2.
2*(u - 192)*(u + 1)**2
Factor -256*c**2 + 5*c**5 + 562*c**4 - 368*c**3 - 9*c**5 - 630*c**4 + 48*c**3.
-4*c**2*(c + 1)*(c + 8)**2
Let x be 324/(-270) + (-101)/(-30) + -2. Let a(d) be the third derivative of -1/60*d**5 + 1/12*d**4 - x*d**3 + 27*d**2 + 0 + 0*d. Factor a(y).
-(y - 1)**2
Determine i, given that 176 - 50*i**3 + 113*i**2 - 46*i**2 + 12*i**3 - 8*i + 2*i**4 - 199*i**2 = 0.
-2, 1, 22
Let i be (-8448)/22*28/(-560). Let a = -1/24 + 581/120. Suppose -i*r**3 + a - 4/5*r**5 - 92/5*r + 32/5*r**4 + 136/5*r**2 = 0. What is r?
1, 2, 3
Let p(u) be the third derivative of -9*u**7/280 + 3813*u**6/160 + 16*u**5 - 847*u**4/8 - 212*u**3 - 20*u**2 + 25*u. Suppose p(n) = 0. What is n?
-2/3, 1, 424
Factor 0 - 2/7*n**3 + 306/7*n - 96/7*n**2.
-2*n*(n - 3)*(n + 51)/7
Let j be (18/(-513))/((-568)/13490). Find q such that -2/3*q - j + 1/6*q**2 = 0.
-1, 5
Suppose 2256/7 - 4/7*u**2 + 548/7*u = 0. Calculate u.
-4, 141
Let w(f) = 7*f + 63. Let a be w(-3). Determine r, given that -a - 54 + 88*r - 17*r**2 - 7*r**2 + 4*r**2 = 0.
2, 12/5
Let b(u) be the first derivative of u**4/4 + 20*u**3 + 117*u**2/2 + 58*u - 1013. Factor b(k).
(k + 1)**2*(k + 58)
Let q(g) = -9*g**4 - 28*g**3 - 20*g**2 + 11*g + 3. Let m(o) = 19*o**4 + 56*o**3 + 42*o**2 - 23*o - 7. Let k(t) = 3*m(t) + 7*q(t). Solve k(c) = 0 for c.
-4, -1, 0, 1/3
Let a(h) be the first derivative of -5/4*h**3 - 3/4*h**4 + 29 + 0*h - 3/20*h**5 - 3/4*h**2. Factor a(w).
-3*w*(w + 1)**2*(w + 2)/4
Let t(x) = -73*x**4 - 1051*x**3 - 5009*x**2 + 1827*x + 14. Let m(u) = 121*u**4 + 1752*u**3 + 8348*u**2 - 3044*u - 23. Let s(b) = 14*m(b) + 23*t(b). Factor s(w).
5*w*(w + 7)*(w + 17)*(3*w - 1)
Let b(s) be the first derivative of s**4/28 - 53*s**3/21 - 345*s**2/14 - 531*s/7 + 1170. Factor b(u).
(u - 59)*(u + 3)**2/7
Factor -2/3*g**4 - 238/3*g**3 + 0 - 6728*g - 7424/3*g**2.
-2*g*(g + 3)*(g + 58)**2/3
Let y(k) = -4*k**3 + k**2 + 3*k - 1. Let l(w) = 11*w**3 + 690*w**2 - 120417*w + 119719. Let t(x) = 2*l(x) + 6*y(x). Solve t(f) = 0 for f.
1, 346
Let h = 14 + -9. Let l = -64 - -66. Determine i so that -6*i - 2*i**2 + h*i**l - 6*i**2 = 0.
-2, 0
Let m(t) = -257*t**3 - 9369*t**2 + 4200*t - 475. Let o(j) = -172*j**3 - 6246*j**2 + 2800*j - 317. Let n(v) = -5*m(v) + 7*o(v). Factor n(f).
(f + 39)*(9*f - 2)**2
Factor -32*r**3 - 78*r**2 - 25*r**2 + 10*r**4 + 7*r**4 - 16*r**4 - 70*r.
r*(r - 35)*(r + 1)*(r + 2)
Let k(v) be the third derivative of 0*v**3 + 1/36*v**4 - 1/420*v**7 - 1/30*v**5 - 15*v**2 + 11/720*v**6 + 0 - 2*v. Factor k(u).
-u*(u - 2)*(u - 1)*(3*u - 2)/6
Let o(v) be the second derivative of 7*v**6/24 + 69*v**5/40 - v**4/6 + 300*v. Solve o(k) = 0.
-4, 0, 2/35
Let b(n) be the second derivative of -n**7/4200 - n**6/360 + n**5/600 + n**4/24 - 53*n**3/6 - 2*n + 7. Let z(r) be the second derivative of b(r). Factor z(a).
-(a - 1)*(a + 1)*(a + 5)/5
Let h(b) be the first derivative of 1/5*b**3 + 42/5*b + 158 - 27/10*b**2. Let h(u) = 0. Calculate u.
2, 7
Let l(m) be the first derivative of 0*m + 1/40*m**5 + 1/9*m**3 + 5/36*m**4 + 20 + 9*m**2. Let s(w) be the second derivative of l(w). Factor s(v).
(v + 2)*(9*v + 2)/6
Suppose q - 8*l = -9*l + 57, q = -4*l + 45. Suppose -34*x + q = -7. Find n, given that 2/13*n**4 - 4/13*n**3 + 0*n**x - 2/13 + 4/13*n = 0.
-1, 1
Let x(b) be the first derivative of -b**6/360 + b**5/24 - b**4/6 + b**3/3 - 10*b + 18. Let j(f) be the third derivative of x(f). Factor j(m).
-(m - 4)*(m - 1)
Let s(l) be the third derivative of l**6/100 - 18*l**5/25 - 15*l**4/4 - 38*l**3/5 + 2883*l**2. Factor s(c).
6*(c - 38)*(c + 1)**2/5
Let k(c) be the first derivative of c**6/12 - c**5/10 - 13*c**4/8 + c**3/6 + 12*c**2 + 18*c + 1321. Solve k(w) = 0 for w.
-2, -1, 3
Let m be 459/(-18)*1*2. Let p be 8/12*m/(-119). Solve 0 - p*n**2 - 8/7*n = 0.
-4, 0
Suppose -p = 36 - 38. Factor 97 - 15*n - 52 - 28*n**2 - 5*n**3 + 3*n**p.
-5*(n - 1)*(n + 3)**2
Factor -116/9 + 62/9*r - 2/9*r**2.
-2*(r - 29)*(r - 2)/9
Suppose -691763 - 2687*r**3 + r**4 - 2450*r - 393*r**2 + 220138 + 2593*r**3 + 2913*r**2 = 0. What is r?
-11, 35
Let y = 61/8 - 11/8. Let i = -487 - -1949/4. Factor -y - i*j**2 + 5/2*j.
-(j - 5)**2/4
Let y(z) be the first derivative of 2/11*z**3 + 18/11*z - 44 + 3/22*z**4 - 15/11*z**2. Let y(x) = 0. Calculate x.
-3, 1
Let w be (-326 - 1)*308/132. Let y = w + 767. Determine l, given that 18*l**y + 6*l**5 + 0*l + 27/2*l**3 + 0 + 0*l**2 = 0.
-3/2, 0
Let 216/11 + 11*p**4 - 609*p**3 + 8958/11*p**2 - 236*p = 0. Calculate p.
2/11, 1, 54
Let i(j) be the second derivative of j**6/40 - 9*j**5/40 - 3*j**4/2 - 13*j**3/4 - 27*j**2/8 + 802*j. Let i(b) = 0. What is b?
-1, 9
Let l(o) = -5*o**2 + 43*o + 15. Let c be l(9). Let z be 2*c + (-616)/(-98). Factor z*q - 2/7*q**2 + 4