 - 3*s**3 + 14*s**3.
5*s*(s - 1)*(s + 1)**2
Let y be 300/5*4/6. Factor 3*h**3 - 6*h**3 + y*h + 5*h**3 + 6*h**3 - 35*h**2 + 4*h**4 - 17*h**2.
4*h*(h - 2)*(h - 1)*(h + 5)
Let x(c) be the first derivative of 3*c**4 + 1/3*c**6 - 7*c**2 - 16/3*c**3 + 0*c - 87 + 16/5*c**5. Factor x(p).
2*p*(p - 1)*(p + 1)**2*(p + 7)
Let z = 58567/39 + -19349/13. Solve -z*d + 15 - 5/3*d**2 = 0 for d.
-9, 1
Let v(u) = -u**3 - 9*u**2 - 5*u + 1. Let x be v(-9). Let i = x - 43. Suppose -185*a**2 - 2*a + 185*a**2 + a + a**i = 0. What is a?
-1, 0, 1
Let l(w) = -13715*w - 13713. Let j be l(-1). Find r, given that 0 - 5765*r**3 + 2800*r**j - 405/4*r**5 - 1575*r**4 - 320*r = 0.
-8, 0, 2/9
Let f(n) = -4*n**3 - 746*n**2 - 750*n - 6. Let d be f(-1). Factor 0*m + m**3 + 0*m**d + 0 + 1/2*m**5 + 3/2*m**4.
m**3*(m + 1)*(m + 2)/2
Let n(z) = 6910*z - 34546. Let q be n(5). Solve -20/7*l**q - 4*l**2 + 4/7*l**5 + 8/7*l + 0 + 36/7*l**3 = 0.
0, 1, 2
Let q = 11283 - 11239. Let j(t) be the first derivative of -7/6*t + 43/24*t**2 - 5/4*t**3 - 1/60*t**5 + 17/48*t**4 - q. Solve j(n) = 0.
1, 14
Let f(l) be the second derivative of -5/14*l**4 - 8/7*l**3 + 0*l**2 + 1/70*l**6 + 0 - 54*l + 3/20*l**5. Factor f(j).
3*j*(j - 2)*(j + 1)*(j + 8)/7
Let n(r) be the second derivative of r**7/315 + r**6/90 - r**4/18 - r**3/9 - 15*r**2/2 + 9*r + 2. Let b(m) be the first derivative of n(m). Factor b(s).
2*(s - 1)*(s + 1)**3/3
Suppose 105 = 14*u + 21. Let f be (u/28)/(-3)*-4. Factor 0*y**2 + 2/7*y**3 + 0 - f*y.
2*y*(y - 1)*(y + 1)/7
Let w be -3*12*3/(-6)*1. Suppose -4*k = 3*d + 11, w = -2*d - 5*k - 1. Solve 6*z**3 - z**d + 558*z**5 - 563*z**5 + 2*z**2 - 2*z**4 = 0 for z.
-1, -2/5, 0, 1
Suppose 16*t - 2*t = 84. Factor 18*n**3 - 30*n**2 + 4916*n**4 + 8*n + t*n - 4918*n**4.
-2*n*(n - 7)*(n - 1)**2
Let h be (4425/200 - 22)*40. What is u in 36/7*u**h + 165/7*u**4 + 96/7*u**2 + 33*u**3 + 0 + 12/7*u = 0?
-2, -1/3, -1/4, 0
Let n be (-337798)/86520 - 60/90. Let j = 1/2060 - n. Factor -j*a + 2/7*a**2 + 128/7.
2*(a - 8)**2/7
Let m(x) = -194*x**2 - 252*x + 1365. Let c(j) = -272*j**2 - 378*j + 2047. Let f(h) = -5*c(h) + 7*m(h). Factor f(l).
2*(l - 5)*(l + 68)
Let d(b) be the second derivative of -b**6/15 + 31*b**5/10 - 77*b**4/2 + 147*b**3 + 6654*b. Factor d(n).
-2*n*(n - 21)*(n - 7)*(n - 3)
Factor -1868*c - 36*c**2 + 14*c**3 - 317 + 320*c**2 + 1181 - 22*c**3.
-4*(c - 27)*(c - 8)*(2*c - 1)
Let l(t) = -5*t**2 + 589*t - 608. Let y(n) = 35*n**2 - 4125*n + 4255. Let b(q) = -55*l(q) - 8*y(q). Solve b(d) = 0 for d.
1, 120
Let j(m) be the third derivative of 1/40*m**5 + 4*m**2 + 29/4*m**3 + 15/8*m**4 + 0*m + 18. Find k, given that j(k) = 0.
-29, -1
Let j be ((-3)/6 + (-84)/8)*-169. Suppose -2973 = -8*f + j. What is u in -u**5 + f*u**2 - 2*u**5 - 604*u**2 = 0?
0
Let s(x) = -x**3 - x**2. Let j(i) = -6*i**3 - 13*i**2 - 11*i + 20. Suppose -7*p = -60 + 25. Let w(r) = p*s(r) - j(r). Suppose w(y) = 0. Calculate y.
-5, -4, 1
Suppose -733*s + 378*s**2 + 4*s**3 + 114*s**2 - 197516 + 12793*s = 0. What is s?
-67, 11
Suppose -91 = -46*m + 39*m. Let t be 20*m/(-182)*(-18)/10. Let -57/7*g + t + 9/7*g**3 + 6/7*g**2 = 0. Calculate g.
-3, 1/3, 2
Let s(k) be the first derivative of k**6/300 + k**5/50 - k**4/15 + 7*k**2 - 42. Let y(j) be the second derivative of s(j). Solve y(z) = 0.
-4, 0, 1
Let k(j) be the third derivative of j**7/210 + j**6/10 + 9*j**5/20 - 5*j**4/3 + 548*j**2. Let k(o) = 0. What is o?
-8, -5, 0, 1
Let z = 684 - 705. Let q be z/(-18) - (100/15)/10. Find i such that 0 - 3/2*i**3 + 0*i - q*i**2 = 0.
-1/3, 0
Let l = -26 - -31. Suppose -n - 4*f + 89 = 4*n, 0 = l*f + 20. Factor -10*u**2 - n*u + 10*u**4 - 3*u**5 + 16*u + 8*u**5.
5*u*(u - 1)*(u + 1)**3
Let l(o) = -168*o**2 - o. Let j be l(0). Let i(y) be the third derivative of 1/240*y**6 + j*y**3 + 0*y**4 - 2*y**2 + 0*y + 0 + 1/120*y**5. Factor i(n).
n**2*(n + 1)/2
Let b(o) be the first derivative of -12/5*o**5 + 2*o**4 + 0*o + 4*o**3 + 1/3*o**6 - 5*o**2 - 81. Suppose b(y) = 0. Calculate y.
-1, 0, 1, 5
Let o = 1989/290 + -8703/2030. Let -30/7*r**4 + 6/7*r**5 + 12/7*r**3 - 54/7 - o*r + 12*r**2 = 0. What is r?
-1, 1, 3
Let z = 162020 - 7289647/45. Let v = z - 202/9. Factor -3/5*n**2 + 18/5*n - v.
-3*(n - 3)**2/5
Suppose 61*l + 22*l + 101*l - 368 = 0. Factor l*a + 0 + 1/10*a**2.
a*(a + 20)/10
Let s(g) = -190*g**2 + 70*g + 10*g**3 + 190 + 60*g - 30*g. Let i(z) = -228*z**2 - z**3 - 18*z - 21 + 249*z**2 + 7*z. Let v(k) = 55*i(k) + 6*s(k). Factor v(j).
5*(j - 1)*(j + 1)*(j + 3)
Let g(p) be the third derivative of p**7/840 + p**6/240 + 5*p**4/3 - 8*p**2. Let z(b) be the second derivative of g(b). Factor z(r).
3*r*(r + 1)
Let 34/9*k + 16/9*k**2 + 2 = 0. Calculate k.
-9/8, -1
Let k(u) = -9*u**3 - 42*u**2 + 59*u - 8. Let w(b) = 9*b**3 + 42*b**2 - 62*b + 11. Let l(r) = 9*k(r) + 8*w(r). Determine n so that l(n) = 0.
-16/3, -1/3, 1
Let i(f) be the third derivative of f**6/900 + 89*f**5/450 + 43*f**4/90 - 176*f**3/45 + 2*f**2 + 159*f + 5. Find v such that i(v) = 0.
-88, -2, 1
Let u be ((657/(-81))/(-73))/(4/9). Suppose 0 - 1/4*o**2 + u*o = 0. What is o?
0, 1
Let f(k) be the third derivative of k**7/315 + k**6/60 - 7*k**5/45 - k**4/3 + 40*k**3/9 + 885*k**2. Factor f(r).
2*(r - 2)**2*(r + 2)*(r + 5)/3
Let d(s) be the second derivative of s**6/15 - 32*s**5/5 - 2*s - 5. Factor d(x).
2*x**3*(x - 64)
Let g be (13/(-3))/(9/(-54)). Solve 15 + 4*f**2 - 9 + g + 0*f**2 - 24*f = 0.
2, 4
Let -2/3*a**3 - 3998792*a + 2828*a**2 + 5654291888/3 = 0. Calculate a.
1414
Let h = -441034 + 441036. Suppose 2*q = 3*q - 2*i + 10, 4*q - 2*i + 10 = 0. Determine b, given that q*b**h + 1/3*b**3 + 2/3*b**4 + 1/3*b**5 + 0*b + 0 = 0.
-1, 0
Determine m so that 63/4*m + 3/4*m**2 + 51 = 0.
-17, -4
Suppose -2*z = n + 170, -4*n = -2*z - 109 + 739. Let q be (n/24)/(-10)*2/4. Solve -q*g**4 + 0 - 2/3*g - 5/3*g**2 - 4/3*g**3 = 0.
-2, -1, 0
Let l(h) be the third derivative of -h**6/360 + h**5/15 - h**2 - 301*h. Suppose l(t) = 0. Calculate t.
0, 12
Let y(z) = -z**2 + 375*z - 28013. Let q be y(272). Solve 1/8*r**q + r**2 + 0 + 0*r = 0 for r.
-8, 0
Let o = -392 - -417. Let h be (-1)/2*(-450)/o. Factor h*v**2 + 1/4 - 3*v.
(6*v - 1)**2/4
Factor -2054*p - 38*p**3 - 1338 - 785*p**2 - 72*p**3 - 5*p**4 - 282 + 74*p.
-5*(p + 2)**2*(p + 9)**2
Let r(g) be the third derivative of 0 - 9/40*g**6 - 13/20*g**5 + 1/70*g**7 + 1/112*g**8 + 0*g + 6*g**3 - 56*g**2 + g**4. Let r(n) = 0. Calculate n.
-2, -1, 1, 3
Let w(b) = b**2 + 23*b - 22. Let r be w(-24). Factor -7*n**3 + 72 + 2*n**3 - 9*n**r + 27*n + 3*n + 2*n**3.
-3*(n - 3)*(n + 2)*(n + 4)
Let w = 477759 + -1433246/3. Factor -8/3*a**3 + 1/6*a**4 - w*a + 53/6*a**2 + 4.
(a - 12)*(a - 2)*(a - 1)**2/6
Let r(x) = -5*x**4 + 805*x**3 + 610*x**2 - 3740*x + 2280. Let q(p) = -p**4 + 201*p**3 + 153*p**2 - 935*p + 570. Let a(h) = -25*q(h) + 6*r(h). Factor a(y).
-5*(y - 1)**2*(y + 3)*(y + 38)
Find d, given that -13/9*d**3 - 134/9*d**2 + 34/9*d**4 + 1/3*d + 10 = 0.
-3/2, -1, 15/17, 2
Let u(j) be the third derivative of -155520/7*j**4 + j + 68*j**2 + 29/147*j**7 - 132/7*j**6 - 1/1176*j**8 + 6480/7*j**5 + 0 + 559872/7*j**3. Factor u(v).
-2*(v - 36)**4*(v - 1)/7
Let s = -1/1038 + 12463/7266. Suppose d - 7 - 4 = -4*p, d = -p + 5. Determine v, given that -s + 4/7*v + 8/7*v**p = 0.
-3/2, 1
Let r(t) = -6*t**2 + 2264*t - 2308. Let x(w) = 8*w**2 - 2260*w + 2312. Let j(g) = 6*r(g) + 5*x(g). Factor j(k).
4*(k - 1)*(k + 572)
Let m be 10/(-5) + 4 + 177. Suppose -31 = -6*a + m. Factor -a - n**2 + 36 + n + 2*n**3 - 3*n**3.
-(n - 1)*(n + 1)**2
Let j = -1532 + 1534. Suppose -8 = -l + 3*s, j*s - 6*s + 2 = 5*l. Factor 1/4 + w + 1/2*w**3 + 5/4*w**l.
(w + 1)**2*(2*w + 1)/4
Let a = 875776/1313655 + -2/437885. Let k be ((-22)/3)/(-2) - 2. Factor 4 + 4/3*o - a*o**3 - k*o**2.
-(o + 2)**2*(2*o - 3)/3
Suppose 0*q - 20 = -5*b + 2*q, 4*q = -5*b + 20. Solve 0*c**b - 11*c**3 + 15*c - 45*c + 5*c**4 - 55*c**2 - 9*c**3 = 0.
-1, 0, 6
Let q(a) = a**2 + 4. Let i(x) be the second derivative of 3*x**5/10 - x**4 - 5*x**3/3 - 10*x**2 + 4*x - 3. Let y(z) = i(z) + 5*q(z). Let y(u) = 0. Calculate u.
-5/6, 0, 2
Determine m so that 1 - 98*m**3 + 26*m**2 - 1 + 16*m + 401*m**2 - 39*m**2 = 0.
-2/49, 0, 4
Let f(a) be the third derivative of 5*a**8/336 - 17*a**7/21 + 11*a**6 - 299*a**5/6 + 2675*a**4/24 - 140*a**3 - 1811*a**2 + 1. Factor f(c).
5*(c - 24)*(c - 7)*(c - 1)**