(h) = -5*h**4 - 135*h**3 - 625*h**2 - 510*h. Let o(w) = 6*a(w) + 5*f(w). Factor o(m).
-5*m*(m + 1)*(m + 5)*(m + 20)
Suppose 13*p + 434 - 1539 = 0. Suppose 0 = p*x - 35*x. Factor -4/5*k**3 - 64/5*k + x + 32/5*k**2.
-4*k*(k - 4)**2/5
Let y be 3/2*-2 + (10/4 - (-213)/426). Factor -1/8*f**3 + y + 3/8*f - 1/4*f**2.
-f*(f - 1)*(f + 3)/8
Determine u, given that 224/9 - 4/3*u - 2/9*u**2 = 0.
-14, 8
Let f(g) be the first derivative of -5*g**4/4 - 1415*g**3/3 - 49700*g**2 + 100820*g + 1414. Suppose f(k) = 0. What is k?
-142, 1
Let g(l) = -l**2 - 12*l + 31. Let q be g(-14). Solve 77*i**3 - 36*i**3 - 2*i**5 - 14*i**2 + 8 - 39*i**q + 6*i**4 = 0 for i.
-1, 1, 2
Let y(n) be the first derivative of -4*n**2 - 5/3*n**3 - 42 - 4*n - 1/4*n**4. Solve y(d) = 0.
-2, -1
Let d(z) be the second derivative of 25*z**4/36 + 145*z**3/18 + 20*z**2 + 216*z - 8. Let d(m) = 0. Calculate m.
-24/5, -1
Let x(r) be the second derivative of 0 + 23/9*r**3 + 63*r + 0*r**2 - 1/36*r**4 + 1/90*r**6 - 23/30*r**5. Factor x(n).
n*(n - 46)*(n - 1)*(n + 1)/3
Let k(s) be the third derivative of s**10/378000 - s**8/12600 - s**5/15 + s**4/24 - 66*s**2. Let l(n) be the third derivative of k(n). Factor l(g).
2*g**2*(g - 2)*(g + 2)/5
Let v be 18/2*(-22)/(-22). Factor 3*w + 54 - v*w**2 - 80 + 51 - 3*w**3 + 4*w**3 + 12*w.
(w - 5)**2*(w + 1)
Let q = 381547/4 + -95386. Factor 3/4*u**3 - 9/8*u + q - 9/8*u**2.
3*(u - 2)*(u + 1)*(2*u - 1)/8
Let f(q) be the first derivative of -9*q**4/8 - 59*q**3/2 + 114*q**2 - 66*q + 1506. Suppose f(b) = 0. Calculate b.
-22, 1/3, 2
Let t be 21/350*10*5. Suppose 25*h + t*z - 9 = 24*h, 0 = 5*h + 3*z - 9. Find i such that 8*i**5 + h + 8/3*i + 154/3*i**3 - 110/3*i**4 - 64/3*i**2 = 0.
0, 1/4, 1/3, 2
Let f(l) = -49*l**2. Let q be f(-1). Let c = -47 - q. Factor -5*g - g**3 - 5*g**2 - 5*g**c - 4*g**3.
-5*g*(g + 1)**2
Suppose -271 = -2*v - 967. Let q = v - -1393/4. Suppose -1/2 + q*b**2 + 1/4*b = 0. Calculate b.
-2, 1
Let u(j) = j**5 + j**4 + j**3 + j**2. Let v = -81 - -80. Let k(c) = -c**5 + 27*c**4 - 41*c**3 + 27*c**2. Let i(s) = v*k(s) + 3*u(s). Factor i(p).
4*p**2*(p - 3)*(p - 2)*(p - 1)
Let u(n) be the first derivative of n**6/18 - 7*n**5/15 + 5*n**4/6 + 2*n**3/9 - 11*n**2/6 + 5*n/3 - 2148. Find z, given that u(z) = 0.
-1, 1, 5
Let i(q) = q**3 + 9*q**2 - 11*q - 13. Let g be i(-10). Let x be -3 + -1 + 9 + g. Find t such that 9*t**2 - 3*t**4 + 0*t**x - 6*t + 0*t**2 = 0.
-2, 0, 1
Suppose 1872*s - 6320 = 1864*s. Let y = -2338/3 + s. Suppose -y*g - 14/3*g**2 - 8/3 = 0. What is g?
-2, -2/7
Let t(d) be the second derivative of -d**6/40 - 63*d**5/80 + 45*d**4/16 - 23*d**3/8 + 11804*d. Factor t(c).
-3*c*(c - 1)**2*(c + 23)/4
Let c(v) be the second derivative of v**7/1260 + v**6/6 + 15*v**5 + 750*v**4 - 2*v**3 - 6*v. Let u(s) be the second derivative of c(s). Let u(a) = 0. What is a?
-30
Let w(c) be the third derivative of -c**7/840 - 43*c**6/480 - c**5/6 + 7*c**4/8 + 1741*c**2. Factor w(o).
-o*(o - 1)*(o + 2)*(o + 42)/4
Let i(p) = 5*p**2 + 307*p - 484. Let m(o) = -44*o**2 - 2460*o + 3869. Let j(v) = 17*i(v) + 2*m(v). Determine a so that j(a) = 0.
5/3, 98
Let c(i) = i**3 - 11*i**2 - 18*i + 9. Let k(y) = 12*y**2 + 20*y - 6. Let z(w) = 2*c(w) + 3*k(w). Suppose z(v) = 0. Calculate v.
-4, -3, 0
Factor -203 + 3*n**2 - 18*n + 129 - 142.
3*(n - 12)*(n + 6)
Let c(h) = -4*h**3 - 21*h**2 - 20*h - 13. Let j(f) = -7*f**2 + 6*f**2 + 6 - 7. Let u(k) = -c(k) + 5*j(k). Factor u(o).
4*(o + 1)**2*(o + 2)
Solve -655*h**3 - 2073*h - 8180*h**2 + 700*h**3 + 253*h = 0 for h.
-2/9, 0, 182
Factor -14*r**3 - 14*r**3 - 24*r**3 - 36*r**2 - 99*r + 49*r**3 + 18*r.
-3*r*(r + 3)*(r + 9)
Let k(v) = v**3 - 106*v**2 - 28*v. Let m(x) = -3*x**3 + 104*x**2 + 27*x. Let n(f) = -5*k(f) - 4*m(f). Factor n(t).
t*(t + 16)*(7*t + 2)
Let l(r) be the first derivative of -6 - 3/8*r**4 + 3/2*r**2 + 0*r + 1/2*r**3. Factor l(a).
-3*a*(a - 2)*(a + 1)/2
Factor -4/5*u**2 - 1560*u - 760500.
-4*(u + 975)**2/5
Let s be ((-903)/(-15) + -65)*5/(-4). Factor -6*i + s*i**2 - 3/2*i**3 + 0.
-3*i*(i - 2)**2/2
Let k = 8 - -4. Find f, given that -2*f**5 - 3 - 3 - 28*f**3 + 2 - 32*f**2 - 18*f - k*f**4 = 0.
-2, -1
Let w be (-1)/(4/5) - (-2105857)/1684436. Let j = w + 177772766/97179. Factor 28*a**2 + j + 392*a + 2/3*a**3.
2*(a + 14)**3/3
Let t be (6/10)/((-666)/180 + 4). Find o such that -3/5 - 3/5*o**t - 2*o = 0.
-3, -1/3
Suppose -11 = -7*g + 3. Suppose -x + 9 = -0*a + g*a, -3*a + 4*x + 8 = 0. Let 12/7*l**3 + 0 - 2/7*l**a + 16/7*l - 24/7*l**2 = 0. What is l?
0, 2
Let l(z) = -z**3 + 15*z**2 + 6*z - 33. Let u be l(7). Let g = -399 + u. Solve 0*s**g + 0*s + 12/5*s**3 - 4/5*s**4 + 0 = 0.
0, 3
Let u(a) be the first derivative of 2*a**2 - 2/3*a**4 + 1/60*a**5 + 0*a + 32/3*a**3 + 21. Let l(x) be the second derivative of u(x). Solve l(h) = 0.
8
Suppose 4*p - 15*p = -715. Factor -775*i**4 + 29*i**3 - 4*i**3 + 780*i**4 - 15*i**2 + 50 - p*i.
5*(i - 1)**2*(i + 2)*(i + 5)
Let n(r) be the first derivative of r**7/350 - 3*r**5/100 - r**4/20 - 21*r**2/2 - 4*r + 34. Let c(m) be the second derivative of n(m). Factor c(t).
3*t*(t - 2)*(t + 1)**2/5
Let c(s) be the second derivative of s**4/90 - 397*s**3/45 - 1604*s**2/15 - 5585*s. Find o, given that c(o) = 0.
-4, 401
Find i such that -718205 + 2277*i - 4*i**2 - 427*i + 2896*i - i**2 - 956*i = 0.
379
Let r(c) = -c**4 - 11*c**3 + 29*c**2 - 7*c - 48. Let g(m) = -m**4 - 2*m**2 - m + 1. Let t(s) = 10*g(s) - 5*r(s). Factor t(w).
-5*(w - 5)**2*(w - 2)*(w + 1)
Let b(x) be the first derivative of 4*x**5/25 + 27*x**4/5 - 32*x**3 + 248*x**2/5 - 2049. Suppose b(o) = 0. What is o?
-31, 0, 2
Let d(z) be the second derivative of z**7/105 - 61*z**6/150 + 19*z**5/10 - z**4/3 - 32*z**3/5 + 81*z**2/10 + 127*z. Let d(o) = 0. What is o?
-1, 1/2, 1, 3, 27
Factor 2/5*l**2 - 144 + 18/5*l.
2*(l - 15)*(l + 24)/5
Let q(i) be the third derivative of 0*i**3 - 206*i**2 + i + 1/30*i**4 - 1/300*i**5 + 0. Factor q(z).
-z*(z - 4)/5
Let t be 5/2*2*(79 - -3). Let i = 3692/9 - t. Suppose -2/3*u**2 + i*u**3 + 8/9 + 0*u = 0. What is u?
-1, 2
Let s be ((-76073)/(-3048) - (-36)/(-32))*5/(55/4). Let -s*f + 16/3*f**2 + 4 - 2/3*f**3 = 0. Calculate f.
1, 6
Let n = -193827/55 + 17622/5. Suppose j - 1 = -0*q - 2*q, -4*j - 2 = 5*q. Determine u so that -1/11*u**q - 3/11*u + n*u**3 - 1/11*u**4 + 2/11 = 0.
-1, 1, 2
Let c(k) = k**2 + k. Let r(b) = 3*b - 26. Let h be r(8). Let a = h - 1. Let n(y) = 6*y**2 + 30*y + 18. Let p(j) = a*c(j) - n(j). Factor p(i).
-3*(i + 3)*(3*i + 2)
Let t(p) be the second derivative of p**4/36 + 2*p**3/3 - 2025*p. Factor t(i).
i*(i + 12)/3
Let x(k) be the first derivative of -4/3*k**3 + 0*k + 24*k**2 + 50. Factor x(v).
-4*v*(v - 12)
Let k = 201 + -199. Factor 684*x - 8*x**4 - 75*x**k - 226*x**2 - 501*x**2 - 162 + 8*x**2 + 152*x**3.
-2*(x - 9)**2*(2*x - 1)**2
Let d be 12/3 - (13 + -7 - 6). What is y in 14 + 26 + d*y**3 - 67*y + 132*y - 24*y**2 - 53*y = 0?
-1, 2, 5
Let g(k) = -473*k - 193*k + 720 + 991*k + 115*k**2. Let o(t) = 13*t**2 + 36*t + 80. Let f(h) = 4*g(h) - 35*o(h). Solve f(b) = 0.
-4
Let d(c) = 14*c**2 - 2993*c - 738337. Let y(r) = -5*r**2 + 998*r + 246118. Let q(w) = 6*d(w) + 17*y(w). Factor q(j).
-(j + 496)**2
Let o(w) be the third derivative of -1/210*w**7 + 0 + 12*w - 49/6*w**3 + 2*w**2 + 14/3*w**4 - 13/10*w**5 + 2/15*w**6. Factor o(a).
-(a - 7)**2*(a - 1)**2
Factor 2/5*b**2 - 58/5*b - 264/5.
2*(b - 33)*(b + 4)/5
Let o be ((9/17)/((-3)/14))/((-573)/1337). Factor 1302/17*a**2 - 366/17*a + 26/17 - o*a**3.
-2*(a - 13)*(7*a - 1)**2/17
Factor -1/4*l**2 + 273/4*l + 0.
-l*(l - 273)/4
Suppose -23*f + 20*f + 48 = 0. Factor -4*n**2 + 4*n**2 + 10*n**2 + 4*n - f + 6*n**2 - 4*n**3.
-4*(n - 4)*(n - 1)*(n + 1)
Let f(q) be the first derivative of 0*q - 4/3*q**3 - 10 + 1/24*q**4 + 0*q**2. Solve f(m) = 0.
0, 24
Let v(h) = 6*h**3 - 837*h**2 - 417*h - 418. Let c be v(140). Determine j so that 0 + 14/5*j**c + 2/5*j**3 + 0*j = 0.
-7, 0
Let 278/5*f**3 + 22/5*f**4 + 482/5*f**2 + 0 - 2/5*f**5 + 228/5*f = 0. Calculate f.
-6, -1, 0, 19
Factor 2483*v**3 - 2528*v**3 - 90 + 9*v**2 - 24*v**2 + 5*v**4 + 145*v.
5*(v - 9)*(v - 1)**2*(v + 2)
Suppose 13591 = -x + 13597. Factor 0 - 15/2*y**3 - 12*y**2 - 3/2*y**4 - x*y.
-3*y*(y + 1)*(y + 2)**2/2
Suppose 2983*r - 3121*r + 690 = 0. Solve -2/13*s - 2/13*s**2 + 8/13*s**r + 18/13*s**3 - 22/13*s**4 + 0 = 0 for s.
-1/4, 0