+ 0*i**2. Factor h(s).
-5*s**3*(s + 2)
Let x be (-6)/(-14) + (-684)/1890. Let b(l) be the first derivative of -x*l**3 + 2/5*l - 1/10*l**2 + 3. Factor b(r).
-(r - 1)*(r + 2)/5
Suppose -3*m = -7 - 2. Suppose 0 = -2*w - 5*b + 24, 0 = w - m*b + 6 + 4. Factor 0*c + 0*c**w + 0 - 1/2*c**3.
-c**3/2
Let g(o) be the third derivative of 0*o**3 - 1/840*o**8 + 0 - 4*o**2 + 0*o + 1/60*o**4 + 0*o**6 + 1/75*o**5 - 2/525*o**7. Suppose g(q) = 0. What is q?
-1, 0, 1
Let w(t) be the second derivative of t**6/60 + 2*t**5/5 + 13*t**4/4 + 20*t**3/3 - 175*t**2/4 - 4*t - 60. Factor w(o).
(o - 1)*(o + 5)**2*(o + 7)/2
Let p be ((15/(-4))/(-5))/(((-2475)/(-22))/25). Factor 0*f + 0 + 1/3*f**2 + p*f**3.
f**2*(f + 2)/6
Let p(x) be the first derivative of -x**7/105 + x**6/15 - 2*x**5/15 - x**2/2 + 24. Let w(c) be the second derivative of p(c). Let w(o) = 0. Calculate o.
0, 2
Factor -6/11 - 2/11*f**2 - 8/11*f.
-2*(f + 1)*(f + 3)/11
Let a(x) = x + 6. Let p be a(16). Factor 9 + 2*m**2 - p - m**3 + 11 + m.
-(m - 2)*(m - 1)*(m + 1)
Let f(h) be the second derivative of -h**5/45 - h**4/2 + 14*h**3/27 - 185*h. Factor f(c).
-2*c*(c + 14)*(2*c - 1)/9
Let u be 1*(-15)/6 + 4/(-8). Let s be (-72)/140*14/u. Factor 18/5*a**2 - 8/5*a**3 + 2/5 - s*a.
-2*(a - 1)**2*(4*a - 1)/5
Let d(b) = -5*b**2 + 10*b - 2. Suppose -3 - 69 = -12*r. Let a(z) = -14*z**2 + 29*z - 5. Let u(v) = r*a(v) - 17*d(v). Factor u(l).
(l + 2)**2
Suppose 1152 = 8*i - 4*i. Let b be (-4)/(i/(-308)) + (-4)/(-18). What is p in 1/2*p - 2*p**4 + 11/2*p**3 + 1/2 - b*p**2 = 0?
-1/4, 1
Let c(l) = l**2 - 3*l - 19. Let n be c(7). Factor 21*o**3 - 6 - 3*o**4 + 19*o**3 + 23*o**3 - 3*o - 60*o**3 + n*o**2.
-3*(o - 2)*(o - 1)*(o + 1)**2
Suppose 2*g = 4*g. Let f(y) be the second derivative of 3*y + 0*y**2 - 1/30*y**4 + g - 1/15*y**3. Let f(x) = 0. What is x?
-1, 0
Let i be (-9)/(-3) + 0/(-4 - 1). Factor 21*o**2 - 3*o - 17*o**2 + i*o.
4*o**2
Let h = -24 + 27. Factor 0*u**h - 15*u**2 + 10 + 4*u**3 + 5*u**2 - 5*u + u**3.
5*(u - 2)*(u - 1)*(u + 1)
Let u(o) be the second derivative of o**5/5 - 8*o**3/3 - 61*o. Factor u(n).
4*n*(n - 2)*(n + 2)
Let u be 8/(-140)*4*(-6 + 1). Let 0*x**2 + 0*x + u*x**3 - 4/7*x**4 + 0 = 0. What is x?
0, 2
Let k = -140 + -130. Let v be (-2)/(-5) - (1302/k + 5). Suppose 2/9*g**2 - 4/9*g + v = 0. What is g?
1
Suppose 47*a - 39*a + 1 + 187*a + 197 - 3*a**2 = 0. What is a?
-1, 66
Let q(n) be the second derivative of -9*n - 1/8*n**3 - 1/80*n**5 - 1/8*n**2 - 1/16*n**4 + 0. What is a in q(a) = 0?
-1
Let g(l) be the second derivative of l**7/63 - l**5/5 - 4*l**4/9 - l**3/3 + l + 42. Factor g(n).
2*n*(n - 3)*(n + 1)**3/3
Let o = 407/812 - 1/812. Let q(r) = -r. Let u be q(-3). Find l, given that 1/2*l**5 + 3*l**u + o*l + 0 - 2*l**4 - 2*l**2 = 0.
0, 1
Let d(j) be the third derivative of j**5/20 - j**4/4 + j**3/2 + 10*j**2. Let v(o) = 3*o**2 - 5*o + 2. Let u(k) = -5*d(k) + 6*v(k). Find p, given that u(p) = 0.
-1, 1
Factor -6130*o + 4*o**4 + 3073*o + 3073*o - 7 - 5 + 8*o**2 - 16*o**3.
4*(o - 3)*(o - 1)**2*(o + 1)
Let a(f) = 2*f**2 + 5*f + 2. Let h be (-1)/(-1 - (-8)/6). Let b be a(h). Factor 8*k**2 - 3*k - 2*k**2 + 6*k**5 - 6*k**4 + 0*k**b - 3*k**5.
3*k*(k - 1)**3*(k + 1)
Let v(u) = -7*u**2 + 19*u - 5. Let z be v(2). Let d(y) be the first derivative of 0*y**4 + 1/2*y + 1/10*y**z - 7 + 0*y**2 - 1/3*y**3. Let d(x) = 0. Calculate x.
-1, 1
Let b(h) be the second derivative of 2*h**7/21 - 8*h**6/15 - 7*h**5/5 + 34*h**4/3 + 8*h**3 - 144*h**2 + 71*h. Let b(y) = 0. What is y?
-2, 2, 3
Let p = 793/964 + -35/482. Let -1/4*j**2 - p*j + 5/2 = 0. Calculate j.
-5, 2
Let i(c) = 4*c**5 + 11*c**4 + 15*c**3 + 8*c**2 + 5. Let o(q) = -q**4 - q**3 + 1. Let y(l) = -i(l) + 5*o(l). Factor y(n).
-4*n**2*(n + 1)**2*(n + 2)
Let w(p) = -p**2 - 28*p - 25. Let u(h) = -h**2 - 3*h - 1. Let f(r) = -4*u(r) + 2*w(r). Suppose f(m) = 0. What is m?
-1, 23
Suppose 12 + 16 = -2*h. Let y be h/(-6)*(-2)/(-7). Determine b so that 2/3*b**5 + 0 + 0*b - 2/3*b**4 + 2/3*b**2 - y*b**3 = 0.
-1, 0, 1
Let b be 2/((-176)/(-6)) - 64/(-352). Let k(g) be the first derivative of 0*g - g**2 + 1 + b*g**4 - 1/3*g**3. Determine s, given that k(s) = 0.
-1, 0, 2
Let t(n) be the third derivative of n**7/140 - n**6/16 - 11*n**5/40 + 33*n**4/16 - 9*n**3/2 + 4*n**2 - 13. Factor t(s).
3*(s - 6)*(s - 1)**2*(s + 3)/2
Let t(d) be the second derivative of -d**4/60 - 2*d**3/5 + 14*d**2/5 + d + 12. Solve t(q) = 0.
-14, 2
Let q be ((-120)/135)/((-20)/45). What is p in 2/9 - 1/9*p**q - 1/9*p = 0?
-2, 1
Let c be (-20 - -11)/(-54) + 7*(-13)/(-30). Solve -12/5 + 44/5*i**3 + 28/5*i**2 - c*i**4 - 44/5*i = 0 for i.
-1, -1/4, 1, 3
Let v(a) = 24*a**2 + 164*a - 58. Let n(t) = 22*t**2 + 162*t - 57. Let m(i) = -6*n(i) + 5*v(i). Factor m(l).
-4*(l + 13)*(3*l - 1)
Let x(i) be the second derivative of -i**7/8820 - i**6/1260 - i**5/420 + 7*i**4/4 + 40*i. Let g(w) be the third derivative of x(w). Factor g(h).
-2*(h + 1)**2/7
Let k(b) = b**2 - 105*b + 597. Let u be k(6). Factor -2/9*h - 8/9*h**2 + 2/9*h**u + 8/9.
2*(h - 4)*(h - 1)*(h + 1)/9
Let m be (-12)/(-14) - (-18)/126. Let d(g) be the first derivative of 0*g + m + 0*g**2 - 4/15*g**3 + 1/3*g**6 + 16/25*g**5 + 1/10*g**4. Let d(c) = 0. What is c?
-1, 0, 2/5
Let j = 23/9 - 20/9. Let s(p) = 543*p + 5973. Let f be s(-11). Let -j*o**3 + 0*o**2 + 4/3*o**4 + 0*o + f = 0. Calculate o.
0, 1/4
Let n(q) be the third derivative of q**8/211680 + q**7/26460 - q**5/60 + 36*q**2. Let s(y) be the third derivative of n(y). Factor s(v).
2*v*(v + 2)/21
Let w(c) be the third derivative of 0*c + 0*c**4 + 1/900*c**6 - 1/2*c**3 - 7*c**2 + 1/150*c**5 + 0. Let h(f) be the first derivative of w(f). Factor h(d).
2*d*(d + 2)/5
Solve -40 - 2*s**4 + 0*s + 58*s**3 - 8*s + 30*s**2 - 62*s**3 = 0.
-5, -1, 2
Let f(l) = 9*l**4 - 71*l**3 + 197*l**2 + 11*l - 256. Let p(g) = 8*g**4 - 72*g**3 + 196*g**2 + 12*g - 256. Let r(d) = 4*f(d) - 5*p(d). Factor r(v).
-4*(v - 16)*(v - 2)**2*(v + 1)
Let k(x) be the first derivative of -1/12*x**3 + 1/4*x + 6 + 0*x**2. Factor k(j).
-(j - 1)*(j + 1)/4
Let w(j) = -3*j**2 + 18*j - 23. Let i(o) = -6*o**2 + 126*o - 201 + 42 - 15*o**2. Let f(c) = -4*i(c) + 27*w(c). Factor f(s).
3*(s - 5)*(s - 1)
Suppose 2*b - 4*i - 20 = 0, b = 4*i + 5 + 11. Let -5*n**3 + 20*n**3 - 24 + 3*n**b + 19*n**2 - 12*n - n**2 = 0. What is n?
-2, 1
Suppose -1/2*q**3 + 44*q**2 - 968*q + 0 = 0. Calculate q.
0, 44
Let g(w) = -5*w**2 + 35*w + 540. Let l(z) = 5*z**2 - 34*z - 544. Let a(y) = 4*g(y) + 5*l(y). Factor a(v).
5*(v - 14)*(v + 8)
Let m(c) = -c**3 - 9*c**2 + 8*c + 8. Let t be m(-10). Factor 28*r + t*r - 58*r - 2*r**2.
-2*r*(r + 1)
Let d(c) be the third derivative of c**9/151200 - c**8/25200 - 3*c**5/10 + 16*c**2. Let p(h) be the third derivative of d(h). Find b, given that p(b) = 0.
0, 2
Let q be 2/1*7/(7112/12). Let i = 1131/508 + q. Solve -7/4*b**2 + i*b - 1/2 = 0 for b.
2/7, 1
Factor 6*m**3 - 6*m + 3/2*m**4 + 3*m**2 - 9/2.
3*(m - 1)*(m + 1)**2*(m + 3)/2
Suppose -2*g + 4*w = 2*g - 24, 5*g - 6 = -3*w. Let a(d) = d**3 - 34*d**2. Let n be a(34). Factor -16/5*j**2 - 2/5*j**g - 32/5*j + n.
-2*j*(j + 4)**2/5
Determine i, given that 38/13*i**2 + 6/13*i**4 + 70/13*i - 44/13 - 70/13*i**3 = 0.
-1, 2/3, 1, 11
Let s = -33 + 35. Factor -6*d**s + 2*d**2 + 4*d**2 - 4*d**2.
-4*d**2
Let v(a) be the second derivative of -5*a**4/12 - 95*a**3/3 - 185*a**2/2 - 244*a. Factor v(c).
-5*(c + 1)*(c + 37)
Let b(c) be the third derivative of c**8/1344 + 19*c**7/420 + 361*c**6/480 + 2*c**2 + 4. Factor b(s).
s**3*(s + 19)**2/4
Let g(v) be the third derivative of -v**7/105 + 7*v**6/10 - 481*v**5/30 + 70*v**4 - 400*v**3/3 - 3*v**2 - 34*v. Factor g(c).
-2*(c - 20)**2*(c - 1)**2
Let n be (-76)/950 - (-204)/50. Let i(z) be the first derivative of 8/3*z**3 - 8*z - 7*z**n + 6 + 14*z**2. Factor i(q).
-4*(q - 1)*(q + 1)*(7*q - 2)
Suppose -5*u = o - 7, 4*u + 3 = -o + 9*u. Let 0 - 12/17*s**o - 18/17*s - 2/17*s**3 = 0. What is s?
-3, 0
Let s be 8 + (-7 - (-5)/1). Let n(a) be the third derivative of a**2 + 0 - a**3 + 0*a + 1/60*a**s - 1/30*a**5 - 5/12*a**4. What is w in n(w) = 0?
-1, 3
What is b in -32/3 + 40/3*b**2 - 10/3*b**3 - 8/3*b**4 + 2/3*b**5 + 8/3*b = 0?
-2, -1, 1, 2, 4
Let c(s) = -3*s**2 + 51*s - 60. Let q(y) = 12*y**2 - 207*y + 240. Let x(b) = 15*c(b) + 4*q(b). Solve x(o) = 0.
1, 20
Let i(x) = -x**2 + 8. Let h be i(2). Let m(u) b