00*c**5 - 1/40*c**6 + 0*c + 0 - c**4 - 6/5*c**3. Factor g(n).
-3*(n + 2)*(n + 3)*(5*n + 2)/5
Let w be 19 - ((-7)/10)/((-401)/10827). Factor -441/10 - w*z**2 - 21/5*z.
-(z + 21)**2/10
Let n = 1522 + -1483. Let m be (-9)/n*-100*14/21. Let -m - 40/13*b - 2/13*b**2 = 0. Calculate b.
-10
Suppose 5*s + 175 = 3*j, 0 = 15*j - 14*j - s - 55. Suppose 10*r - j*r = -200. Suppose 0*v + 0*v**4 + 0*v**2 + 8/5*v**3 - 2/5*v**r + 0 = 0. What is v?
-2, 0, 2
Let z be ((46/(-460))/(2/4))/(12/(-10)). Let d(r) be the third derivative of 0*r + 21*r**2 + 0*r**4 + 0 + 0*r**6 - z*r**5 + 5/6*r**3 + 1/42*r**7. Factor d(w).
5*(w - 1)**2*(w + 1)**2
Factor 12032/7*j - 205/7*j**2 - 150212/7 + 1/7*j**3.
(j - 94)**2*(j - 17)/7
Let m(u) = 412*u**2 - 420. Let h(c) = c**3 + 10*c**2 - c - 6. Let s(a) = -2*h(a) - m(a). Solve s(t) = 0 for t.
-216, -1, 1
Suppose 3*u + 21 = v, -28 = 4*u + v + v. Let x(k) = 2*k**2 + 14*k + 3. Let y be x(u). Determine w, given that -30 + 6*w + 6 + y*w**2 + 15 = 0.
-3, 1
Let i(k) be the third derivative of k**8/60480 - 23*k**7/7560 + 529*k**6/2160 - 3*k**5/4 + 3*k**2 + 43. Let u(x) be the third derivative of i(x). Factor u(v).
(v - 23)**2/3
Let t(q) = 8*q**3 - 49*q**2 - q + 28. Let c(i) = i**3 - 4*i**2 + 1. Let l(s) = -14*c(s) + 2*t(s). Factor l(g).
2*(g - 21)*(g - 1)*(g + 1)
Let b(s) = -2*s**2 + 86*s + 5. Let u(y) = 3*y**2 - 130*y - 7. Let z = -18 - -23. Let f(o) = z*u(o) + 7*b(o). Let f(p) = 0. Calculate p.
0, 48
Let v(w) = 15*w**2 - 8550*w - 3405. Let p(u) = -15*u**2 + 8548*u + 3410. Let l(x) = 3*p(x) + 2*v(x). Factor l(m).
-3*(m - 570)*(5*m + 2)
Let c(b) = 3*b**2 - 1 - 1 + b**2. Let w(f) = -5*f**2 + 2. Suppose 4*n = -5*p, -2*p + 5*p = 2*n + 22. Let d(s) = p*w(s) + 6*c(s). Factor d(g).
4*(g - 1)*(g + 1)
Let w(p) be the first derivative of 0*p**3 + 5/2*p**2 - 5 + 1/40*p**6 - 1/4*p**4 - 1/20*p**5 + 0*p. Let t(h) be the second derivative of w(h). Factor t(k).
3*k*(k - 2)*(k + 1)
Let t(r) be the first derivative of r**6/180 - 29*r**5/60 - 31*r**4/6 + 23*r**3/3 + r**2 + 18. Let h(z) be the third derivative of t(z). Factor h(y).
2*(y - 31)*(y + 2)
Let y(v) be the first derivative of v**5 - 805*v**4/4 + 3940*v**3/3 - 3130*v**2 + 3120*v + 1007. Let y(k) = 0. Calculate k.
1, 2, 156
Let z(y) be the second derivative of -y**4/4 - 129*y**3/2 - 567*y**2 + 7*y + 86. Find n, given that z(n) = 0.
-126, -3
Let v(r) be the first derivative of 4*r**3/3 + r**2 - 5*r + 7. Let w be v(-5). Factor w + 32*y**3 - 21 + 29*y + 99*y + 96*y**2 + 4*y**4.
4*(y + 2)**4
Let g(l) be the first derivative of -2*l**5/25 - 38*l**4/5 - 1144*l**3/5 - 10336*l**2/5 - 36992*l/5 - 5086. Factor g(i).
-2*(i + 4)**2*(i + 34)**2/5
Let k(h) = 35*h + 422. Let d be k(-12). Determine a, given that -1/4*a**d - 36 - 6*a = 0.
-12
Let f(z) be the third derivative of -z**5/150 - 17*z**4/30 - 64*z**3/15 - 8265*z**2. What is h in f(h) = 0?
-32, -2
Let t be (((-35)/21)/5)/((-1)/(-3)) - -1. Factor 0 + t*o + 2*o**2 - 3/2*o**3 + 1/4*o**4.
o**2*(o - 4)*(o - 2)/4
Let 4/3*p**4 - 164/3*p**3 + 52*p**2 - 160/3 + 164/3*p = 0. What is p?
-1, 1, 40
Let o be -8*(-10)/(-320)*0. Let y(c) be the second derivative of 0*c**3 + 0*c**4 + o*c**2 + 7*c + 0 + 1/270*c**6 + 1/180*c**5. Factor y(t).
t**3*(t + 1)/9
Let v be (-2 + 6)/20 + 1/(-5). Suppose 8*c - 15*c + 14 = v. Factor 4*h + 8*h**c + 8*h - 4*h**4 - 4*h**5 + 4 - 8*h**3 - 8*h**4.
-4*(h - 1)*(h + 1)**4
Let h(i) be the first derivative of -i**8/3920 + i**6/210 - 22*i**3 - 119. Let f(l) be the third derivative of h(l). Factor f(c).
-3*c**2*(c - 2)*(c + 2)/7
Suppose -60 = -132*m + 246*m - 126*m. Let k(c) be the second derivative of 32*c**2 + 1/4*c**4 + 0 - 4*c**3 - 9*c - 1/160*c**m. Factor k(p).
-(p - 8)**3/8
Determine v so that 2/5*v**4 - 8/3*v**2 - 2/15*v**5 + 4/3*v**3 - 16/5*v + 64/15 = 0.
-2, 1, 2, 4
Let c(i) be the second derivative of i**5/4 - 35*i**4/6 + 175*i**3/6 - 55*i**2 - 1671*i. Determine y so that c(y) = 0.
1, 2, 11
Suppose 1621 = -141*c + 674*c + 22. Let b(n) be the second derivative of 29*n + 10/33*n**c + 0*n**2 - 1/66*n**4 + 0. Factor b(z).
-2*z*(z - 10)/11
Let x(j) be the second derivative of j**7/42 + 37*j**6/30 + 17*j**5/10 - 6*j**4 + 1389*j. Factor x(a).
a**2*(a - 1)*(a + 2)*(a + 36)
Let z be 26/(35/(-45) - -2 - 16/(-36)). Factor z*b + 27/5 - 9/5*b**2.
-3*(b - 9)*(3*b + 1)/5
Let u be ((-57)/(-1463))/(9/74). Let x = u - -1/77. Find t, given that -2/3 + t - x*t**2 = 0.
1, 2
Let v(t) be the third derivative of -t**7/42 + t**6/4 - 2*t**5/3 - 5*t**4/4 + 15*t**3/2 + 356*t**2. Find r such that v(r) = 0.
-1, 1, 3
Let o be (-1575)/42 + -4 + 24 - -19. Determine u, given that -o*u**4 - 84 - 117*u**2 - 174*u - 57/2*u**3 = 0.
-14, -2, -1
Find j, given that -6/5*j - 2/5*j**2 - 2/5*j**4 + 6/5*j**3 + 4/5 = 0.
-1, 1, 2
Let r = -4875 + 4875. Let v(d) be the third derivative of -7/540*d**6 + 0 - 1/54*d**5 + 0*d + r*d**3 + 12*d**2 + 1/54*d**4. Solve v(s) = 0 for s.
-1, 0, 2/7
Let t(z) be the first derivative of -4*z**5/35 + 69*z**4/28 - 337*z**3/21 + 240*z**2/7 - 100*z/7 + 5482. Suppose t(n) = 0. Calculate n.
1/4, 2, 5, 10
Let t(c) = 2*c**3 - 9*c**2 - 38*c + 23. Let a be t(7). Suppose -18 = -11*w + a*w. Solve -5/2*k**w + 0 + k**3 + k = 0 for k.
0, 1/2, 2
Suppose 203*k - 29 = 541 + 242. Let n(g) be the first derivative of 0*g + 0*g**k - 16 + 0*g**2 - 1/45*g**6 - 8/45*g**3 + 2/25*g**5. Factor n(r).
-2*r**2*(r - 2)**2*(r + 1)/15
Let i(j) be the first derivative of 2*j**3/63 - 25*j**2/3 - 236*j/7 - 1499. Factor i(y).
2*(y - 177)*(y + 2)/21
Let a(s) be the first derivative of -15176/3*s**3 + 648*s**2 - 5476*s**5 + 10323*s**4 - 32*s + 6. Suppose a(x) = 0. Calculate x.
2/37, 2/5, 1
Let t(g) be the first derivative of g**6/48 - 3*g**5/20 + 3*g**4/16 + 2*g**3/3 - 15*g**2/16 - 9*g/4 + 841. Determine d, given that t(d) = 0.
-1, 2, 3
Let z(r) = r**3 - 8*r**2 - 10*r + 42. Let i be z(9). Factor -3*f**3 - 13*f**2 - 14*f**2 - 15*f**2 + i*f**2.
-3*f**2*(f + 3)
Suppose 0 = -n - 4*y + 12, 0*n - 4*y + 12 = -4*n. Let -31*t + n*t**3 - 4*t + 11*t**3 - 3*t**3 - 3*t**3 - 30 = 0. What is t?
-2, -1, 3
Let i = -2275 - -6596. Solve 26 - i*h**2 - 6 - 16*h + 4317*h**2 = 0.
-5, 1
Let x(b) = -15. Let d(o) = o + 16. Let u(m) = -2*d(m) - 3*x(m). Let k be u(5). Suppose g**4 - 2*g - 2*g**3 + k*g - g = 0. Calculate g.
0, 2
Determine y so that -162 + 38915/2*y**2 - 2177/2*y**4 - 8113*y**3 - 32*y**5 - 10062*y = 0.
-18, -1/64, 1
Let z(u) = -u**4 - u**3 + 1. Let x(o) = 5*o**5 + 114*o**4 + 544*o**3 - 2620*o**2 - 6435*o - 3374. Let m(t) = x(t) - 6*z(t). Find c such that m(c) = 0.
-13, -1, 4
Let m be 7/28*4 - -4. Factor -z**3 + 6*z**3 - m*z + 10 + 106*z**2 - 116*z**2.
5*(z - 2)*(z - 1)*(z + 1)
Solve -68*y**2 + 965 - 1136*y - 859*y + 1240 - 5*y**3 - 212*y**2 + 75*y**2 = 0 for y.
-21, 1
Suppose -4*p = 2*s - 12, 3*s + 50*p - 15 = 47*p. Suppose 31 + 17 - 23 + 55 - 28*t**2 + 2*t**s + 18*t**3 - 72*t = 0. What is t?
-10, -2, 1, 2
Let c(g) be the first derivative of -4*g**3/3 - 5*g**2 + 108. Let b(n) = n. Let z(o) = 2*b(o) + c(o). What is k in z(k) = 0?
-2, 0
Let w(t) be the second derivative of t**5/220 - 4*t**4/33 + 13*t**3/66 + 15*t**2/11 - 1487*t. Factor w(f).
(f - 15)*(f - 2)*(f + 1)/11
Let i(s) be the second derivative of s**4/24 + 31*s**3/12 - 51*s**2/2 - 884*s. Factor i(z).
(z - 3)*(z + 34)/2
Let v(i) be the second derivative of i**6/120 - 11*i**5/20 + 21*i**4/8 + 149*i**3/6 - 163*i. Let k(m) be the second derivative of v(m). Factor k(a).
3*(a - 21)*(a - 1)
What is b in 0 + 674*b**3 + 26304/5*b**2 + 107/5*b**4 + 1/5*b**5 + 4608*b = 0?
-48, -10, -1, 0
Factor 26/3*j**2 + 20*j + 0 + 2/3*j**3.
2*j*(j + 3)*(j + 10)/3
Suppose 655*g**3 + 2979*g - 17461 + 3730*g**2 + 35*g**4 + 2621*g + 15541 = 0. Calculate g.
-8, -3, 2/7
Let o(n) be the second derivative of -1936*n**6/15 - 19514*n**5/15 + 17026*n**4/27 - 317*n**3/9 + 7*n**2/9 - 4759*n. Let o(a) = 0. Calculate a.
-7, 1/66, 1/4
Let v(j) = -60*j - 420. Let r be v(-7). Let a(c) be the third derivative of 7*c**2 + 1/135*c**5 + 1/540*c**6 + r*c + 0*c**3 + 0 + 1/108*c**4. Factor a(s).
2*s*(s + 1)**2/9
Let c be (163/2282)/(24/126). Factor -6 - 9/4*m + c*m**2.
3*(m - 8)*(m + 2)/8
Factor -1/5*y**3 - 198/5 + 171/5*y + 28/5*y**2.
-(y - 33)*(y - 1)*(y + 6)/5
Let i = -58 + 58. Suppose i = 3*p - 0*p - 6. Suppose 0*l**3 - l**3 - 178*l**p + l + 179*l**2 - 1 = 0. Calculate l.
-1, 1
Factor -625/3 