. Factor d(n).
4*n*(n + 1)*(n + 7)
Let h be ((-13)/(52/(-24)))/(-2). Let k be (-1)/h*(-3)/(-2). Factor -5/2*a**3 - 4*a**2 - k*a**4 - 2*a + 0.
-a*(a + 1)*(a + 2)**2/2
Find x, given that -966*x - 12*x**2 - 31205 + 176*x + 41*x**2 - 15*x**2 - 19*x**2 = 0.
-79
Let v(u) = -6*u**2 + 110*u + 890. Let j(l) = l**2 + l + 1. Let y(w) = -10*j(w) - v(w). Factor y(o).
-4*(o + 15)**2
Let v be 15112/(-96) + (-3)/(-4) + 2. Let w = v + 156. Solve -w*b + 2 + 2/9*b**2 = 0.
3
Let c(s) = 2*s**2 + 7*s - 7. Let m(o) = -3*o + o**2 + 3 + 3*o**2 - 5*o**2. Let u(a) = 3*c(a) + 7*m(a). Factor u(w).
-w**2
What is s in 8/3*s**4 + 0*s**2 - 2/3*s**3 + 0 + 0*s + 10/3*s**5 = 0?
-1, 0, 1/5
Let u(a) be the second derivative of a**6/150 - 3*a**5/50 - a**4/5 + 19*a**3/15 - 21*a**2/10 + 126*a. Determine v so that u(v) = 0.
-3, 1, 7
Let p(s) be the third derivative of 0*s**3 - 1/840*s**7 - 18*s**2 + 0 - 1/96*s**4 + 1/480*s**6 + 0*s + 1/240*s**5. Let p(o) = 0. What is o?
-1, 0, 1
What is d in 2*d**2 - 104*d**2 - 79*d**2 + 57*d - 57*d**4 + 126*d**3 + 55*d**2 + 9*d**5 - 9 = 0?
1/3, 1, 3
Let j = 55 - 52. Find m, given that 4*m**3 - 9*m**3 + 2*m**5 + j*m**3 = 0.
-1, 0, 1
Let a = -1069 - -1073. Let y(i) be the first derivative of -3/4*i**a - 3*i**3 - 3*i**2 + 0*i - 2. Factor y(l).
-3*l*(l + 1)*(l + 2)
Let u = 257 + -3854/15. Let k(m) be the first derivative of -5 + 0*m**2 - 1/24*m**4 - 1/18*m**3 + u*m**5 + 0*m. Factor k(b).
b**2*(b - 1)*(2*b + 1)/6
Let p(b) = 1. Let q(m) = 5*m**2 - m + 2*m**3 + 5*m - 1 + m**2 - 1. Let z(v) = 2*p(v) + q(v). Factor z(i).
2*i*(i + 1)*(i + 2)
Suppose 4*l = 3*n + 3 + 15, 3*l = -n + 7. Determine j so that 3 + 2*j**2 - 8*j**l - 6*j**3 + 3*j**5 + 4*j**4 + 11*j - 9*j**4 = 0.
-1, -1/3, 1, 3
Let s(v) be the first derivative of -12/5*v**3 + 0*v**2 - 6/5*v**4 + 0*v - 4/25*v**5 - 10. Factor s(c).
-4*c**2*(c + 3)**2/5
Let j(y) = -y**2 - 43*y - 101. Let r(k) = -20*k - k - 13*k - 51 + 13*k. Let n(t) = -3*j(t) + 5*r(t). Find b such that n(b) = 0.
-4
Determine f, given that 224*f**2 - 449 + 803*f + 5*f**3 - 629*f**2 + 54 - 8*f = 0.
1, 79
Suppose -12 = 9*a - 13*a. Solve -1/2*f**5 + 0*f**2 + 0 + 0*f - 2*f**a + 2*f**4 = 0.
0, 2
Let q(f) be the second derivative of f**7/504 - 7*f**6/144 + 3*f**4/2 + 36*f. Let w(k) be the third derivative of q(k). Determine d so that w(d) = 0.
0, 7
Solve -40*l**2 - 40/3*l**4 + 0 + 15*l + 110/3*l**3 + 5/3*l**5 = 0.
0, 1, 3
Suppose -23*h + 18*h = -x + 20, 4*x - 12 = 3*h. Let c be 1/((-3)/24*h). Solve -1/4*s + 1/4*s**c - 1/2 = 0 for s.
-1, 2
Let h be 587/23480 + 314/240. Let w be 0*(2/4)/(-1). Factor w*q + 1/3*q**2 - h.
(q - 2)*(q + 2)/3
Let y(v) be the third derivative of 35*v**2 + 0*v**3 + 0 + 1/9*v**4 - 1/630*v**7 + 1/45*v**5 + 0*v - 1/180*v**6. Factor y(f).
-f*(f - 2)*(f + 2)**2/3
Factor 0 + 8/3*n**4 + 0*n + 12*n**3 + 112/9*n**2 - 1/9*n**5.
-n**2*(n - 28)*(n + 2)**2/9
Let t = -32271/5 + 6456. Suppose 3/5*b**2 - 9/5*b**3 - 3/5*b**5 + 0*b + t*b**4 + 0 = 0. What is b?
0, 1
Let q(j) be the third derivative of -j**9/1008 - j**8/672 + j**7/504 - 5*j**4/24 + 21*j**2. Let l(a) be the second derivative of q(a). Factor l(y).
-5*y**2*(y + 1)*(3*y - 1)
Let v(z) be the third derivative of z**9/3024 - z**8/1344 - z**7/504 + z**6/144 - 3*z**4/8 - 11*z**2. Let x(o) be the second derivative of v(o). Factor x(y).
5*y*(y - 1)**2*(y + 1)
Let m(d) be the first derivative of d**4/2 + 22*d**3/3 - 368. Solve m(i) = 0 for i.
-11, 0
Let p(q) be the second derivative of 2*q**6/135 + 4*q**5/45 - 4*q**4/9 - 2*q + 2. Let p(l) = 0. Calculate l.
-6, 0, 2
Let s = 14 + -8. Factor -t**2 - 6*t**3 + t**2 + s*t**4 + 10*t**3.
2*t**3*(3*t + 2)
Let u(q) be the second derivative of q**5/40 + q**4 - 25*q**3/12 - 432*q + 2. Factor u(z).
z*(z - 1)*(z + 25)/2
Let r(g) be the first derivative of 44/7*g**2 + 20/3*g**3 + 25/14*g**4 + 29 + 16/7*g. Solve r(v) = 0 for v.
-2, -2/5
Let n(b) = -b**3 - 9*b**2 - 2*b - 13. Let f be n(-9). Let 40*p**3 + 5*p**f - 234*p**4 - 90*p**2 + 269*p**4 + 10*p**2 = 0. Calculate p.
-4, 0, 1
Let -1581/4*s**4 - 12969*s**3 + 0 + 0*s - 3*s**5 + 3267*s**2 = 0. What is s?
-66, 0, 1/4
Let s(n) = -n**2 - 10*n + 45. Let p be s(-12). Let u be 111/p + 0 + -5. Suppose 4/7*y**2 - 2/7*y - u*y**3 + 0 = 0. What is y?
0, 1
Suppose -3*l + 61 = -s + 2*s, 2*l - 4*s - 36 = 0. Let k be ((-6)/5)/((-6)/l). Factor -1/6*f**2 + 0 - 1/6*f + 1/6*f**k + 1/6*f**3.
f*(f - 1)*(f + 1)**2/6
Let x = 60 - 418/7. Let j = x + 8/21. Solve j*q - 4/3 + 2/3*q**2 = 0 for q.
-2, 1
Suppose -3 = 3*v - 9. Suppose 0 = -v*y + 4. Find h, given that h**2 + 5*h**3 + h**4 - 10*h**5 + 2*h**3 + 0*h**4 + h**y = 0.
-1/2, -2/5, 0, 1
Let m(s) be the first derivative of -5*s**4 - 448*s**3/3 - 298*s**2 - 168*s - 313. Determine b, given that m(b) = 0.
-21, -1, -2/5
Determine o, given that -9/4*o**3 + 0*o + 3/2*o**2 + 3/4*o**4 + 0 = 0.
0, 1, 2
Let q(k) be the third derivative of k**5/240 - 13*k**4/96 + 3*k**3/2 + 69*k**2. Solve q(v) = 0.
4, 9
Suppose 9 = 82*o - 44 - 275. Factor 2/17*d**3 + 2/17*d**2 - 2/17*d**o + 0 - 2/17*d.
-2*d*(d - 1)**2*(d + 1)/17
Let w(m) = -3*m**2 - 157*m + 251. Let p(o) = o**2 + 5*o + 1. Let u(v) = 5*p(v) + w(v). Find f, given that u(f) = 0.
2, 64
Let m(b) be the third derivative of -b**5/150 - 29*b**4/10 - 2523*b**3/5 + 508*b**2. Solve m(i) = 0 for i.
-87
Let k(t) = -t**4 + 2*t**2 - 2. Let g(p) = 19*p**4 - 3*p**3 - 20*p**2 + 3*p. Let q(x) = g(x) - k(x). What is d in q(d) = 0?
-1, -1/4, 2/5, 1
Let s(a) be the second derivative of -31*a**6/1200 - a**5/10 - 9*a**4/80 + a**3/30 + 20*a**2 + 7*a. Let y(l) be the first derivative of s(l). Factor y(r).
-(r + 1)**2*(31*r - 2)/10
Factor g**3 - 5*g**2 + 27*g - 7*g**3 + 3*g + g**3.
-5*g*(g - 2)*(g + 3)
Let h(v) be the second derivative of 0*v**2 - 1/2*v**3 - 5*v + 0*v**4 - 1/200*v**5 + 0 + 1/1800*v**6. Let a(t) be the second derivative of h(t). Factor a(m).
m*(m - 3)/5
Let b = 18 + 56. Let t = 78 - b. Let 2*h - 32/7*h**t + 24/7*h**2 + 2/7 - 8/7*h**3 = 0. What is h?
-1/2, -1/4, 1
Let p be (35/21)/(2/6). Let a(h) be the third derivative of -1/96*h**4 + 3*h**2 + 1/240*h**p + 0*h + 0*h**3 + 0. Factor a(o).
o*(o - 1)/4
Factor 13/4*w**2 - 1/4*w**3 + 0 + 7/2*w.
-w*(w - 14)*(w + 1)/4
Let h = 52373/7 + -7472. Factor 80/7*l**2 - h*l - 25/7*l**3 + 18/7.
-(l - 2)*(5*l - 3)**2/7
Let f(t) be the second derivative of 1/60*t**5 + 1/120*t**6 + 2*t - 1/24*t**4 + 0 - 1/6*t**3 - 1/2*t**2. Let r(d) be the first derivative of f(d). Factor r(n).
(n - 1)*(n + 1)**2
Let n(s) = s**3 - 5*s**2 + s - 5. Let m be n(5). Suppose b - 3 + 0 = m. Factor 12*f**b - 10*f - 8*f + 2*f + 16 - 20*f**2.
4*(f - 2)*(f + 1)*(3*f - 2)
Suppose -17 + 32 = 5*f. Determine d so that -1707*d**3 - 4*d + 6 - 4*d**2 - 2 + 1711*d**f = 0.
-1, 1
Find q such that 3*q**4 + 18/7*q + 0 - 18/7*q**3 - 3*q**2 = 0.
-1, 0, 6/7, 1
Let 11/7*g - 34/7*g**2 + 3/7*g**3 + 0 = 0. What is g?
0, 1/3, 11
Let q(t) be the first derivative of 0*t**2 + 12/5*t**5 - 3/5*t**6 + 8/15*t**3 + 0*t + 14 + 23/10*t**4. Solve q(y) = 0.
-1/3, 0, 4
Let s(g) = g**2 - 24*g + 25. Let d be s(23). Let j(y) be the first derivative of y**d - 1/3*y**3 - y + 2. Determine q, given that j(q) = 0.
1
Let c(d) be the second derivative of -11*d**5/210 - 5*d**4/42 - 4*d**3/63 - 33*d. Factor c(b).
-2*b*(b + 1)*(11*b + 4)/21
Let n(f) be the third derivative of -f**6/840 - 11*f**5/280 + 3*f**4/14 - 53*f**3/6 - 4*f**2. Let v(g) be the first derivative of n(g). Solve v(r) = 0 for r.
-12, 1
Find o, given that -4/5*o**2 + 2/5*o**3 - 14/5*o - 8/5 = 0.
-1, 4
Suppose -6*f + 4 = -8. What is d in 0*d**3 - 84*d**5 + f*d**3 + 10*d**3 - 80*d**4 + 2*d**2 + 6*d**2 = 0?
-1, -2/7, 0, 1/3
Let u = 16 - 13. Factor 4 + 3*t**4 - 2*t - 4*t**5 + t**4 - 2*t + 8*t**u + t**2 - 9*t**2.
-4*(t - 1)**3*(t + 1)**2
Let o(k) = -k. Let n(t) = -196*t**2 - 109*t - 22. Let d(r) = -n(r) - 3*o(r). Let v(u) = -1 + 0 + 0. Let s(f) = d(f) + 6*v(f). Solve s(b) = 0.
-2/7
Let k(a) be the third derivative of 9*a**8/224 - 201*a**7/70 + 253*a**6/80 + 61*a**5/5 - 43*a**4/4 - 44*a**3 - 10*a**2 - 4*a. Solve k(w) = 0.
-2/3, 1, 44
Let r(t) be the first derivative of -1/5*t**2 - 5 - 1/50*t**6 + 11/100*t**5 + 3/10*t**3 - 4*t - 1/4*t**4. Let s(m) be the first derivative of r(m). Factor s(k).
-(k - 1)**3*(3*k - 2)/5
Let s = -772/651 - -190/93. Let 3/7*n**4 + 3/7*n**5 + 3/7 - s*n**2 + 3/7*n - 6/7*n**3 = 0. Calculate n.
-1, 1
Let j 