*7/2520 + w**6/1080 + w**5/72 + w**4/24 + 32*w**3/3 + 61. Let m(i) be the third derivative of v(i). Factor m(f).
-(f - 3)*(f + 1)**2/3
Let c(n) be the first derivative of 4/7*n**3 - 92 + 1/14*n**4 + 0*n + 5/7*n**2. Factor c(x).
2*x*(x + 1)*(x + 5)/7
Let l(v) be the second derivative of v**5/50 - 13*v**4/30 + 22*v**3/15 + 445*v. Factor l(z).
2*z*(z - 11)*(z - 2)/5
Let t = 190044 + -570130/3. Determine z so that t*z + 8/3 + 1/3*z**3 - 5/3*z**2 = 0.
-1, 2, 4
Let i = -8816 + 8818. Let q(a) be the third derivative of 1/12*a**4 + 0*a**3 + 0*a - 1/60*a**5 - 1/120*a**6 + 14*a**i + 0. Find c such that q(c) = 0.
-2, 0, 1
Let f(r) = -r**2 + 17*r - 20. Let h be f(13). Factor 3*b**2 + 41*b + h*b**2 + 9*b + 5*b**3.
5*b*(b + 2)*(b + 5)
Let a(c) be the third derivative of 0 - 24/5*c**5 - 1/30*c**6 - 288*c**4 + 83*c**2 - 9216*c**3 + 0*c. Solve a(g) = 0 for g.
-24
Factor 2*o**5 - 13859812*o + 13860204*o - 378*o**2 - 10*o**3 + 18*o**4 - 24*o**3.
2*o*(o - 4)*(o - 1)*(o + 7)**2
Suppose 0 - 1017/5*i - 3/5*i**2 = 0. Calculate i.
-339, 0
Let u(k) = -2*k**2 - 28*k - 72. Let q be ((-1)/(-6))/(2/12) - 2. Let l(j) = -j. Let n(y) = q*u(y) + 4*l(y). Determine g, given that n(g) = 0.
-6
Let w be (-143)/(-154)*(-6)/4. Let p = 97/252 - w. Factor 0 + 4/9*j**2 - p*j.
4*j*(j - 4)/9
Let d(q) be the first derivative of 3*q**4/8 - 73*q**3 + 435*q**2/4 + 1486. Factor d(x).
3*x*(x - 145)*(x - 1)/2
Let -2/11*s**4 + 10/11*s**2 + 0*s**3 + 0*s - 8/11 = 0. What is s?
-2, -1, 1, 2
Suppose 15*g - 12*g = 0. Suppose g = -2*h + 6 + 2. Solve 0*r**4 + 12*r + 18*r**2 + 18*r**3 - r**h + 4*r**4 + 9*r**2 = 0.
-4, -1, 0
Suppose 0 - 3/2*v**2 + 1047/2*v = 0. What is v?
0, 349
Let v(j) be the third derivative of -j**6/30 - 11*j**5/15 - 13*j**4/3 - 32*j**3/3 + 3683*j**2. Solve v(f) = 0 for f.
-8, -2, -1
Suppose 2*a - 6 = -q, -a - 2*a + 65 = 5*q. Find c such that c**4 + 4*c**2 - q*c**3 + 12*c**2 + 6*c**3 + 8*c**2 - 3*c**2 = 0.
0, 3, 7
Let t be 2110/105 - 8/84. Find d, given that -108*d + 2557*d**2 - 1024 - t*d - 2561*d**2 = 0.
-16
Let 40/9*u + 1/9*u**5 + 5/9*u**4 - 16/9 - 25/9*u**2 - 5/9*u**3 = 0. What is u?
-4, 1
Let j = -409 + 406. Let q be (j - 12/3)*(-8)/14. Suppose 6/11*h**3 + 2/11*h**2 - 4/11*h + 0 - 2/11*h**q - 2/11*h**5 = 0. What is h?
-2, -1, 0, 1
Let d(x) = x**3 - 9*x**2 + 2*x + 2. Let w be d(8). Let b = 56 + w. Let -55*f - 73*f + 113*f - b*f**2 = 0. Calculate f.
-3/2, 0
Suppose -3*y - 27 = -p, -4*p - 2*y + 23530 = 23534. Determine d so that 171/4*d**4 + 15/4*d**5 + 15*d**2 + 54*d**p + 0*d + 0 = 0.
-10, -1, -2/5, 0
Let f(t) be the second derivative of -t**6/80 - 3*t**5/80 + 11*t**4/32 + 3*t**3/4 - 27*t**2/4 - 10*t + 63. Determine h, given that f(h) = 0.
-3, 2
Suppose -278*q + 77 + 57 = -422. Suppose 3/2 + 1/2*w**2 - q*w = 0. Calculate w.
1, 3
Let c(x) be the first derivative of x**5/10 + 7*x**4/8 + x**3 - 1564. Suppose c(b) = 0. Calculate b.
-6, -1, 0
Let l be (-2090)/(-475) + (-2)/5. Let w(b) be the second derivative of 0*b**3 + 0*b**2 + 0 - 1/12*b**l + 2*b. Suppose w(i) = 0. What is i?
0
Let a(u) be the second derivative of -1/18*u**4 - 2*u + 4/9*u**3 + 13 - 4/3*u**2. Factor a(g).
-2*(g - 2)**2/3
Factor 8*u**2 + 96/5*u + 4/5*u**3 + 0.
4*u*(u + 4)*(u + 6)/5
Let f be (-3 + 30/18)*6/(-4). Solve -1152 + 31*h - 7*h**f + 5*h**2 + 51*h + 14*h = 0.
24
Let m be (-234)/(-1521) - 1/((-39)/72). Let q(o) be the first derivative of 8*o**m + 1 + 32*o + 2/3*o**3. Factor q(u).
2*(u + 4)**2
Suppose 0 + 1605/4*p**3 - 85/2*p**4 + 945*p - 1305*p**2 + 5/4*p**5 = 0. Calculate p.
0, 1, 6, 21
Solve 4/9*r**3 + 256/3 + 176/9*r**2 - 752/9*r = 0 for r.
-48, 2
Let o(l) be the third derivative of -l**5/60 + l**4/3 - 2*l**3 - 412*l**2 + 1. Find w, given that o(w) = 0.
2, 6
Solve 14567 - 22931 - 499*c**2 - c**4 - 22022 - 254*c**2 - 10292 + 73*c**3 - 22145*c = 0 for c.
-11, -2, 43
Let w = -31211/2 + 16634. Let k = w + -1028. Let 0*f - k + 1/8*f**2 = 0. What is f?
-2, 2
Factor 2/7*l**3 + 27872/7*l + 324480/7 + 446/7*l**2.
2*(l + 15)*(l + 104)**2/7
Let h(k) = k**3 + 6*k**2 - 71*k + 262. Let s be h(-13). Determine t, given that -2/5*t**2 - s*t - 12/5 = 0.
-3, -2
Suppose 0 = -15*o + 14 + 24 - 38. Let g(y) be the second derivative of -37*y - 2*y**2 + o - 4/27*y**4 - 1/90*y**5 - 7/9*y**3. Suppose g(a) = 0. What is a?
-3, -2
What is x in -10*x - 48/5 - 2/5*x**2 = 0?
-24, -1
Let j be (-116)/29 - ((0 - 0) + -5). Let r be -4*(-4 + 28/8)*j. Suppose 4*t**r - 43*t**3 + 95*t**3 - 48*t**3 = 0. What is t?
-1, 0
Let d(b) = -245*b**4 + 165*b**3 + 19955*b**2 + 38555*b - 110. Let a(p) = -9*p**4 + 6*p**3 + 739*p**2 + 1428*p - 4. Let c(u) = -55*a(u) + 2*d(u). Factor c(r).
5*r*(r - 13)*(r + 2)*(r + 11)
Let u(x) be the third derivative of 0 + 1/70*x**7 - 15/4*x**5 + 22*x**2 - 20*x**3 - 2/5*x**6 - 49/4*x**4 + 0*x. Factor u(g).
3*(g - 20)*(g + 1)**2*(g + 2)
Determine s, given that -1066*s + 94 - 1094 + 2156*s - 5*s**2 - 1360*s = 0.
-50, -4
Suppose 937*c + 3320*c = 1134*c + 9369. Factor 0*r + 0 - 3/2*r**2 + 1/2*r**c.
r**2*(r - 3)/2
Let k = 563/11106 - -3/617. Let f(u) be the second derivative of -1/3*u**2 - k*u**3 + 0 - 19*u + 1/12*u**4. Factor f(y).
(y - 1)*(3*y + 2)/3
Suppose 0 = -2*w - 2*w - 5*r + 18, 5*r + 31 = 3*w. Suppose -w = -9*j + 74. Let -10*q + 9*q**4 + 6*q**3 + 2*q + 2*q - j*q**2 = 0. Calculate q.
-1, -2/3, 0, 1
Suppose -272 = -26*c + 924. Factor c*j + 0 - 62*j**3 + 37*j**2 + 4 + 71*j**3 - 6*j.
(j + 2)**2*(9*j + 1)
Let z(j) be the second derivative of -j**7/105 + 2*j**6/5 + 2*j**5 - j**4 - 33*j**3/5 - 12*j - 121. Suppose z(d) = 0. Calculate d.
-3, -1, 0, 1, 33
Let v(m) be the second derivative of -133*m + 0 - 5/3*m**3 - 5/12*m**4 + 0*m**2 + 1/4*m**5. Factor v(r).
5*r*(r - 2)*(r + 1)
Let p(a) be the third derivative of a**8/4032 - a**7/144 + a**6/24 + a**5/60 + 2*a**4 - 15*a**2 - 1. Let y(m) be the third derivative of p(m). Factor y(u).
5*(u - 6)*(u - 1)
Suppose -75*i - 14 = -61*i. Let m(c) = c**4 - c**3 + c**2 - 1. Let w(n) = -19*n**4 + 15*n**3 + 17*n**2 - 12*n - 1. Let l(f) = i*w(f) - 3*m(f). Factor l(p).
4*(p - 1)**2*(p + 1)*(4*p + 1)
Let w(f) be the second derivative of f**7/105 - 11*f**6/60 - 79*f**5/100 + 47*f**4/30 + 142*f**3/15 + 32*f**2/5 - 191*f - 2. Determine b, given that w(b) = 0.
-2, -1/4, 2, 16
Suppose -33 = -3*w, -60 = -1340*i + 1331*i - w - 2*w. Determine d, given that -3/2*d + 75/4*d**2 + 0 + 225/4*d**i = 0.
-2/5, 0, 1/15
Let t(q) be the third derivative of -q**6/420 - 347*q**5/210 - 7654*q**4/21 - 29584*q**3/7 - 2938*q**2 + q. Factor t(i).
-2*(i + 3)*(i + 172)**2/7
Let 173/4*f**2 - 1892*f + 1849 - 1/4*f**3 = 0. Calculate f.
1, 86
Suppose 0 = 29*l - 34*l - 7910. Let m be l/(-339)*6/14. Solve 8/5 + 2/5*p**5 - 2/5*p**3 + 22/5*p**m - 24/5*p - 6/5*p**4 = 0 for p.
-2, 1, 2
Let t(d) be the first derivative of 1/20*d**5 - 1/2*d**3 - 3/16*d**4 + 7/2*d**2 - 6*d - 81. Factor t(l).
(l - 2)**3*(l + 3)/4
Let f be (46/(-69))/(2/6). Let z be ((-12)/21)/(8/14 + f). Let z*i - 1/5 + 3/5*i**2 = 0. What is i?
-1, 1/3
Let u(k) be the first derivative of 2/7*k - 1/21*k**6 + 20/21*k**3 - 87 - 5/7*k**4 + 2/7*k**5 - 5/7*k**2. Find c, given that u(c) = 0.
1
Let a be 5*((-2)/9)/((-5)/9). Factor -18*o**3 + 2087 + 13*o**3 - 185*o**a - 282 - 1615*o.
-5*(o - 1)*(o + 19)**2
Let y(v) be the third derivative of -v**6/1020 - 31*v**5/170 - 61*v**4/68 - 91*v**3/51 - 3014*v**2. Find z, given that y(z) = 0.
-91, -1
Let m be ((-1989)/54)/(-13) + (-12 - (-292)/24). What is i in -80/13*i**2 - 6/13*i**m + 0 - 2*i = 0?
-13, -1/3, 0
Let x(c) = -281*c**3 - 1289*c**2 - 1872*c - 1137. Let y(d) = 47*d**3 + 215*d**2 + 312*d + 186. Let j(u) = -6*x(u) - 39*y(u). Factor j(v).
-3*(v + 1)*(7*v + 12)**2
Let n(r) be the first derivative of r**6/105 + r**5/14 + r**4/6 + r**3/7 + 18*r + 60. Let i(f) be the first derivative of n(f). Find j, given that i(j) = 0.
-3, -1, 0
Let d = 375463/57 + -125148/19. Suppose -16 - 2/3*x + d*x**2 = 0. Calculate x.
-6, 8
Let n be (0 + -5)*(111/15)/(-1). Suppose -34*p + n*p = 6. Factor -18*d**2 + 22*d + 24*d**2 - 2*d - 11*d**p + 25.
-5*(d - 5)*(d + 1)
Let u(f) be the third derivative of -f**8/50400 + f**7/2100 - f**6/200 - 19*f**5/60 + 9*f**2 + 11*f. Let n(r) be the third derivative of u(r). Factor n(m).
-2*(m - 3)**2/5
Suppose 38 = b + 18*f - 15*f, 0 = -4*f + 4. Suppose -36 - 44 - 128*s**2 - 300*s + b*s**3 + 68*s**2 = 0. Calculate s.
-2, -2/7, 4