*5/35 + 13*w**4/21 + 16*w**3/21 + 11728*w**2. Factor b(t).
2*(t + 4)*(3*t + 2)**2/7
Let i(h) be the second derivative of h**4/6 - 14*h**3/3 - 32*h**2 - 2926*h. Factor i(w).
2*(w - 16)*(w + 2)
Let w be 104/((-1)/(4/(-1))). Solve 21*s**3 - 104 + 29*s**3 - 470*s - 42*s - 194*s**2 - w*s**2 = 0.
-2/5, 13
Let n(l) be the second derivative of -118*l + 18/35*l**7 + 0*l**3 + 0*l**2 + 39/100*l**5 - 1/20*l**4 - 2 - 24/25*l**6. Determine w so that n(w) = 0.
0, 1/6, 1
Let i be (-175)/2*76/(-95). Let z be (i/(-126))/(25/(-210)). Suppose -20/3 - 2/3*j**3 + z*j + 8/3*j**2 = 0. What is j?
-2, 1, 5
Let 680/11*x + 2/11*x**4 - 624/11 + 6/11*x**3 - 204/11*x**2 = 0. Calculate x.
-13, 2, 6
Let u(i) be the second derivative of -i**4/30 + 49*i**3/15 + 102*i**2/5 - 280*i. Factor u(r).
-2*(r - 51)*(r + 2)/5
Suppose -200*o + 8*o + 1212 = 141*o - 30*o. Factor -3/5 + 3/5*n**o + 6/5*n**3 - 6/5*n + 0*n**2.
3*(n - 1)*(n + 1)**3/5
Let a(p) = 9*p**2 - 12*p - 227. Let z(y) = 5*y**2 - 6*y - 137. Let j(g) = -3*a(g) + 5*z(g). Let j(x) = 0. Calculate x.
1, 2
Factor 12938253*u**2 - 8*u - 12938254*u**2 - 16*u + 217.
-(u - 7)*(u + 31)
Let f(o) be the second derivative of 1/30*o**5 + 0*o**3 + o**2 + 1/24*o**4 - 4*o + 0. Let y(t) be the first derivative of f(t). What is n in y(n) = 0?
-1/2, 0
Let s be -12 + (0 - -11) - 3268/(-10). Let q = s - 324. Factor -6/5 - 3/5*k**2 - q*k.
-3*(k + 1)*(k + 2)/5
Suppose -38*r + 33*r + 15 = 0. What is x in -19 + 24*x + 9*x**2 - 3*x**r - 6*x - 9 + 4 = 0?
-2, 1, 4
Suppose 0 = -14*z + 19*z - 75. Factor -22*u**2 + z*u**3 - 25*u**2 - 50*u**3 + 17*u**2 - 5*u**4.
-5*u**2*(u + 1)*(u + 6)
Let v(b) be the third derivative of b**6/240 + b**5/120 - 7*b**4/24 - 2*b**3 + 4935*b**2. What is c in v(c) = 0?
-3, -2, 4
Let y(z) be the third derivative of 1/30*z**6 + 2/15*z**5 + 0*z + 0*z**3 + 0 - 1/2*z**4 - 38*z**2. Factor y(c).
4*c*(c - 1)*(c + 3)
Suppose 0 = 39*w - 38*w. Let l(q) be the second derivative of w - 1/4*q**3 + 1/8*q**4 - 10*q + 0*q**2. Suppose l(p) = 0. Calculate p.
0, 1
Let f(c) be the first derivative of -2*c**5/55 + 5*c**4/11 + 250*c**3/33 + 30*c**2 + 432*c/11 - 218. Solve f(o) = 0 for o.
-4, -3, -1, 18
Suppose -366 = -194*l + 188*l. Suppose -l*c + 70*c - 45 = 0. Factor -18/5*i**3 - 12/5*i**2 + 0 - 3/5*i - 3/5*i**c - 12/5*i**4.
-3*i*(i + 1)**4/5
Let -1542/7 - 2/7*u**2 + 1544/7*u = 0. What is u?
1, 771
Let p(i) be the second derivative of -248*i**6/45 + 386*i**5/15 + 1633*i**4/36 + 248*i**3/9 + 8*i**2 - 10710*i. Suppose p(j) = 0. What is j?
-12/31, -1/4, 4
Let j(w) = -19*w**3 + 768*w**2 - 666*w - 108. Let p(f) = -19*f**3 + 770*f**2 - 667*f - 114. Let l(r) = -6*j(r) + 5*p(r). Determine k, given that l(k) = 0.
-2/19, 1, 39
Let r(l) = -l**2 - 358*l + 370. Let k(u) = -1. Let w(x) = 33*k(x) + 3*r(x). Factor w(o).
-3*(o - 1)*(o + 359)
Let s(c) be the second derivative of -c**4/3 - 646*c**3/3 - 2552*c**2 + c + 933. Find h, given that s(h) = 0.
-319, -4
Suppose -g = -3*y + 2*g - 867, 3*y + 2*g + 877 = 0. Let i = -288 - y. Suppose -2/3*b**5 - 6*b**4 - 68/3*b**2 - 10/3 - 52/3*b**i - 14*b = 0. Calculate b.
-5, -1
Let r be (-24)/24 + (10 - 6). Let h(x) be the third derivative of -20/27*x**4 - 17/270*x**5 + 0 + 0*x + 9*x**2 - 64/27*x**r - 1/540*x**6. Factor h(j).
-2*(j + 1)*(j + 8)**2/9
Let d(g) be the second derivative of g**4 + 119*g**3/6 - 4*g**2 - 10*g - 7. Let x be d(-10). Determine b so that 32/11 + 2/11*b**x - 16/11*b = 0.
4
Let o(q) be the third derivative of 7/540*q**6 + 12*q - 5*q**2 - 1/54*q**5 + 0*q**3 - 1/54*q**4 + 0. Factor o(g).
2*g*(g - 1)*(7*g + 2)/9
Let w be 2 + (-4 - -6) - 1. Let r be (w - 68/(-6)) + 4/(-12). Factor -4*k**2 + r*k**2 - 20 - 5*k**2.
5*(k - 2)*(k + 2)
Let o be (-328368)/(-957740)*(6/(-27) + (-23)/(-9)). Factor -o*h**3 - 4/5*h**2 + 0 + 0*h + 1/5*h**5 + 1/5*h**4.
h**2*(h - 2)*(h + 1)*(h + 2)/5
Suppose 0 = 7*q - 28. Let g be ((-30)/(-5) + -9)*q/(-3). Suppose -1/2*b**g - 1/2*b + b**2 - 1/2*b**5 - 1/2 + b**3 = 0. What is b?
-1, 1
Let i(a) be the third derivative of -a**8/1176 + 4*a**7/735 + 13*a**6/420 - 4*a**5/21 - 4*a**4/7 + 329*a**2. Determine p so that i(p) = 0.
-3, -1, 0, 4
Let u(t) be the first derivative of t**4/28 - t**3/3 - 5*t**2/14 + 58*t + 141. Let c(b) be the first derivative of u(b). Suppose c(x) = 0. What is x?
-1/3, 5
Let l(q) = 4*q**2 + 14*q - 33. Let v be l(2). Factor 107*x**5 - 325*x**5 - 9*x**3 - v*x**4 + x + 105*x**5 + 3*x**2 - 4*x**2 + 109*x**5.
-x*(x + 1)**3*(4*x - 1)
Let y(l) be the third derivative of l**5/210 - 493*l**4/21 + 972196*l**3/21 - 3483*l**2. Factor y(q).
2*(q - 986)**2/7
Suppose 2*b - 4*b = -5*f + 20, -4*f + 28 = -4*b. Factor 184*j + 0*j**4 + 32*j**3 + f*j**4 + 232 - 144 + 126*j**2.
2*(j + 1)*(j + 2)**2*(j + 11)
Suppose 0 = -3*w + 6*o - 57, -o - 4 = -1284*w + 1279*w. Suppose 0*m + 0 - 1/2*m**w - m**2 = 0. What is m?
-2, 0
Solve 177/5*m**2 + 6*m + 0 = 0 for m.
-10/59, 0
Let n(y) be the first derivative of -1/70*y**6 + 0*y - 22*y**2 - 3/28*y**4 - 28 + 0*y**3 + 5/28*y**5. Let x(g) be the second derivative of n(g). Factor x(d).
-3*d*(d - 6)*(4*d - 1)/7
Let f be (-3)/(-1)*(-3220)/105. Let g be f/69 + 7/3. Factor -x**4 - 2*x**3 + 3*x + g - x - x + x.
-(x - 1)*(x + 1)**3
Let 24*o**4 - 9224 + 9168 - 9*o**5 + 6*o**4 - 99*o - 4*o**5 + 26*o**2 + 112*o**3 = 0. Calculate o.
-1, 1, 56/13
Factor 923521/7 + 1922/7*i + 1/7*i**2.
(i + 961)**2/7
Let s = -25 + 30. What is a in -359 + 359 - a**2 + s*a = 0?
0, 5
Let p(j) = 2*j - 69. Let f be p(38). Suppose f*z - 50 = -3*z. Factor 3/5*n**z + 0 + 0*n**4 - 9/5*n**3 + 6/5*n**2 + 0*n.
3*n**2*(n - 1)**2*(n + 2)/5
Factor -6952/3*r + 2/3*r**2 + 6041288/3.
2*(r - 1738)**2/3
Determine k so that 1604443*k**3 - 2088 - 27*k - 80*k**2 + 999*k - 1604447*k**3 = 0.
-29, 3, 6
Let x = 106817 - 106814. Find j, given that -56/3*j + 0 - 2/3*j**x - 58/3*j**2 = 0.
-28, -1, 0
Let p(z) = -11*z**3 + 2*z**2 - 2. Let w be p(-1). Let n be (-2)/(-1)*(w + -8). What is u in 2*u + 9 + n + 3*u**2 - 16 = 0?
-1, 1/3
Let c(l) be the first derivative of 19*l + 14 + 0*l**3 - 1/50*l**5 - 1/15*l**4 + 0*l**2. Let u(d) be the first derivative of c(d). What is i in u(i) = 0?
-2, 0
Let c(d) be the second derivative of 10*d + 1/3*d**2 - 1/45*d**5 + 8 + 1/6*d**4 - 10/27*d**3. Suppose c(a) = 0. Calculate a.
1/2, 1, 3
Let u = 445459 + -445457. Find n, given that 55/2*n - 10*n**u - 15 = 0.
3/4, 2
Let -145574*o + 607022*o + 529287*o - 3*o**3 + 3855*o**2 + 8*o**3 + 82495855 + 2377110 = 0. Calculate o.
-257
Factor 6*j + 5*j**2 + 943 + 4*j - 1183.
5*(j - 6)*(j + 8)
Let d = 58925 + -58915. Factor -d + 5/4*y**2 + 5/2*y.
5*(y - 2)*(y + 4)/4
Let n be 30*40/1500*(-20)/(-2) - 8. Let h = -132/7 - -19. Factor -h*o**3 - 3/7*o + n + 4/7*o**2.
-o*(o - 3)*(o - 1)/7
Let f be (58/(-290))/((-2)/30). Factor -6*m**f + 14*m**2 + 301*m + 1 - 289*m - 1.
-2*m*(m - 3)*(3*m + 2)
Let t(z) be the first derivative of 2*z**5/7 - 19*z**4/7 + 14*z**3/3 - 4*z**2/7 - 24*z/7 - 600. Suppose t(q) = 0. Calculate q.
-2/5, 1, 6
Suppose -5*p + 407 = -2*w, p - 99 = 23*w - 27*w. Factor -104*s**2 + s - 30 + 193*s**2 - s**3 - p*s**2.
-(s - 5)*(s - 3)*(s + 2)
What is y in 0 - 3364*y + 103*y**4 - 5/3*y**5 - 1773*y**3 + 16675/3*y**2 = 0?
0, 4/5, 3, 29
Factor -161*r + 43/3*r**2 + 147 - 1/3*r**3.
-(r - 21)**2*(r - 1)/3
Factor 21/5*s**2 + 741/5*s + 42.
3*(s + 35)*(7*s + 2)/5
Factor -67/2*f**3 + 0 + 141/2*f**2 - 1/2*f**4 + 207/2*f.
-f*(f - 3)*(f + 1)*(f + 69)/2
Factor 46 + 71*o + 9*o**2 + 48*o + 72 - 8*o**2.
(o + 1)*(o + 118)
Let x = 3 + 2. Let n(v) = -3*v**2 - 12*v. Let o(s) = 116*s**2 + 23*s + 114*s**2 - 223*s**2. Let a(u) = x*n(u) + 3*o(u). Factor a(f).
3*f*(2*f + 3)
Let z(w) = w**2 + 6*w - 5. Let h be z(-7). Determine k, given that 14 + 32*k**2 + 16*k - 18*k**2 - 16*k**h + 4 = 0.
-1, 9
Let m(o) = o**3 - 69*o**2 + 1032*o - 5320. Let h(y) = -2*y**2 + 2. Let j(r) = -4*h(r) + m(r). Factor j(p).
(p - 37)*(p - 12)**2
Let g(i) be the first derivative of i**6/480 + i**5/120 - 7*i**4/32 + 3*i**3/4 - 10*i**2 + 4*i + 28. Let o(h) be the second derivative of g(h). Factor o(j).
(j - 3)*(j - 1)*(j + 6)/4
Let n = -558 + 393. Let m = n - -169. Suppose 4/5*x**m + 8/5 + 4/5*x - 12/5*x**2 - 4/5*x**3 = 0. Calculate x.
-1, 1, 2
Let l(q) be the third derivative of -45*q**2 + 0*q - 1/20*q**5 + 5/6*q**3 + 7/12*q**4 + 0. Factor l(j).
-(j - 5)*(3*j + 1)
Let s(v) be the second derivative of -v**4