**5/15 + 4*p**4/3 + 14*p**3/3 + 22*p**2/3 + 16*p/3 + 581. Factor i(s).
2*(s + 1)**2*(s + 2)*(s + 4)/3
Let q be 0 + (0 - 47/8) + 397 + -391. Factor -25/8*r - q*r**3 + 0 + 5/4*r**2.
-r*(r - 5)**2/8
Let f(v) = v + 17. Let o be f(-3). Suppose -s - o = -2*g - 3*s, 0 = 2*g + 3*s - 18. Factor 0 + 2/3*b + 1/3*b**g + b**2.
b*(b + 1)*(b + 2)/3
Let z = 2392 - 2390. Determine y so that 1/5*y**z + 0 - 1/5*y**3 + 1/5*y - 1/5*y**4 = 0.
-1, 0, 1
Let b = 3739/5028 + 8/1257. Factor -5/4*y**2 + 7/4*y - b + 1/4*y**3.
(y - 3)*(y - 1)**2/4
Factor 2187/5 + 84/5*l**3 + 3/5*l**4 + 162*l**2 + 2916/5*l.
3*(l + 1)*(l + 9)**3/5
Let l(v) be the first derivative of v**5/300 - v**4/20 - 7*v**3/30 - 29*v**2/2 + 14. Let c(j) be the second derivative of l(j). Find y, given that c(y) = 0.
-1, 7
Let c(r) be the second derivative of 1/12*r**4 + 16*r - 1/2*r**2 + 0 + 2/3*r**3 - 1/5*r**5. Factor c(n).
-(n - 1)*(n + 1)*(4*n - 1)
Let z be ((-74)/111)/(4/(-12)). Let w be (-5)/(-10) - (-1 + 1). Suppose -w*m**2 + z*m - 1/2*m**3 + 2 = 0. Calculate m.
-2, -1, 2
Suppose 0 = 4*l - 3*l - 18. Let a = l + -16. Determine n so that 5*n**2 + 0*n**4 + 2*n - 5*n**4 - a*n + 2*n - 2*n**3 = 0.
-1, -2/5, 0, 1
Factor 2 + 5/3*h + 1/3*h**2.
(h + 2)*(h + 3)/3
Let 132/7*q + 36/7 - 3*q**3 + 15/7*q**2 = 0. What is q?
-2, -2/7, 3
Let a = -483 - -1451/3. Let c(w) be the first derivative of -5 - a*w**3 + 2*w + 0*w**2. Factor c(m).
-2*(m - 1)*(m + 1)
Let b(h) = -3*h**3 - 9*h**2 + 34. Let y(s) = s**3 + s**2 + 1. Let n(x) = 2*b(x) + 4*y(x). Factor n(o).
-2*(o - 2)*(o + 3)*(o + 6)
Factor -y + 2*y**4 - 2*y - y**4 - y - 4*y**2 + y**3.
y*(y - 2)*(y + 1)*(y + 2)
Let m(z) be the third derivative of z**6/900 + z**5/75 - z**4/12 - 7*z**3/6 - 2*z**2. Let v(j) be the first derivative of m(j). Solve v(y) = 0.
-5, 1
Suppose -15*d + 2 + 16 = -27. Factor 0 + 0*t - 1/5*t**d + 1/5*t**4 + 1/5*t**5 - 1/5*t**2.
t**2*(t - 1)*(t + 1)**2/5
Factor 5*g**2 + 4*g**4 - 18*g**2 + 9*g**2 + 16*g**3 - 16*g + 5*g**4 - 5*g**4.
4*g*(g - 1)*(g + 1)*(g + 4)
Let d be (-9)/(-12)*4 - -5. Suppose -70*k + 68*k + 8 = 0. Find f such that -d*f**k - 4*f**2 + 5*f**2 + f**2 - 6*f**3 = 0.
-1, 0, 1/4
Let z(u) be the first derivative of 35*u**4/12 - 115*u**3/6 + 15*u**2 + 4*u + 1. Let k(q) be the first derivative of z(q). Factor k(t).
5*(t - 3)*(7*t - 2)
Let m(n) be the third derivative of n**5/150 - n**4/20 + 2*n**3/15 + 98*n**2. Factor m(b).
2*(b - 2)*(b - 1)/5
Let k(i) be the first derivative of 14*i**5/15 + 8*i**4/3 - 34*i**3/9 - 2*i**2 + 428. Determine t so that k(t) = 0.
-3, -2/7, 0, 1
Determine o, given that 135/7 + 3/7*o**2 - 54/7*o = 0.
3, 15
Let j(u) be the third derivative of -u**9/30240 - u**8/2520 - u**7/504 - u**6/180 + 7*u**5/60 - 3*u**2. Let p(v) be the third derivative of j(v). Factor p(w).
-2*(w + 1)**2*(w + 2)
Let q(t) be the third derivative of -t**8/560 + 13*t**7/1050 - 17*t**6/600 + t**5/100 + t**4/15 - 2*t**3/15 - 582*t**2. Suppose q(n) = 0. Calculate n.
-2/3, 1, 2
Suppose 4 + 45 = 3*r + j, 0 = -2*j + 2. Find m, given that 7*m**2 - 8*m**4 + 2*m**5 - 30*m + r*m**3 + 12*m - 4*m**4 + 5*m**2 = 0.
-1, 0, 1, 3
What is a in 69/4*a + 1/4*a**2 + 0 = 0?
-69, 0
Let w = -499 + 507. Let a(b) be the third derivative of 1/210*b**7 + 0*b + 0*b**3 - 7*b**2 + 0*b**5 + 0*b**4 + 0 - 1/240*b**6 - 1/672*b**w. Factor a(r).
-r**3*(r - 1)**2/2
Let h = 365/1113 - -2/371. Let f(c) be the second derivative of h*c**2 + 0*c**3 + 4*c - 1/15*c**5 + 0 - 1/6*c**4. Let f(o) = 0. What is o?
-1, 1/2
Let n(f) be the second derivative of -73/130*f**5 + 0 - 3*f + 4/13*f**2 + 67/78*f**4 - 28/39*f**3 - 1/39*f**7 + 37/195*f**6. Find w such that n(w) = 0.
2/7, 1, 2
Let j(r) be the first derivative of 2*r**3/3 - 21*r**2 + 59. Factor j(d).
2*d*(d - 21)
Let o = 21 - 6. Solve -27*a**2 + o*a - 21*a**2 - 24*a - 12*a**4 - 45*a**3 + 6 + 0*a**4 = 0.
-2, -1, 1/4
Let d(p) be the second derivative of p**6/2160 - p**5/360 + 2*p**3 + 10*p. Let g(k) be the second derivative of d(k). Factor g(h).
h*(h - 2)/6
Suppose -3*u = 2*c - 52, 5*c + 5*u - 121 = 2*u. Let h = c - 14. Factor -6*t**2 + 9*t**3 + 0*t - 4*t + 21*t**4 - 3*t**2 + h*t**5 - 2*t.
3*t*(t + 1)**3*(3*t - 2)
Let n = 61/234 - 1/26. Let r(g) be the first derivative of -2/27*g**3 - 2/9*g**2 + 4 - n*g. Find m, given that r(m) = 0.
-1
Let g(p) be the second derivative of 9*p**5/20 - 5*p**4/2 + 3*p**3/2 - 111*p. Factor g(n).
3*n*(n - 3)*(3*n - 1)
Let a(v) be the first derivative of 9 + 2*v**2 + 3/2*v - 1/2*v**3. Solve a(p) = 0 for p.
-1/3, 3
Let m(v) = -v + 9. Let q be m(6). Determine j so that -53*j**3 - 2*j - 5*j**5 + 3*j**5 + 57*j**q = 0.
-1, 0, 1
Let u(t) = -21*t - 795. Let c be u(-38). Factor 2*p**c + 10/7*p**2 + 24/7 - 88/7*p.
2*(p - 2)*(p + 3)*(7*p - 2)/7
Let f(k) be the third derivative of -k**7/2100 - k**6/1200 + 11*k**5/150 + 7*k**4/20 + 274*k**2. Find y, given that f(y) = 0.
-6, -2, 0, 7
Let s(q) be the first derivative of -2*q**6/3 + 52*q**5/5 - 19*q**4 - 44*q**3 - 379. Find v, given that s(v) = 0.
-1, 0, 3, 11
Let a be 4 - 0 - (-1)/(-1). Let h be -3 + a/(6/10). Find p, given that 4*p**2 + 1 + h - 3 - 4 = 0.
-1, 1
Let l(v) = -28*v**2 + 164*v - 120. Let c(n) = n + 6. Let t(h) = -12*c(h) - l(h). Find m such that t(m) = 0.
2/7, 6
Suppose 0 = 2*t - 55 + 53. Let l be 2*(t - 15/18). Factor -1/6*h - 1/6*h**2 + l.
-(h - 1)*(h + 2)/6
Let g(m) be the third derivative of -m**8/168 - 22*m**7/35 - 17*m**6 + 1156*m**5/15 - 2*m**2 - 47. Suppose g(t) = 0. What is t?
-34, 0, 2
Let a(f) be the second derivative of 17*f + 1/20*f**5 - 1/3*f**3 - 1/12*f**4 + 0*f**2 + 0. Determine w, given that a(w) = 0.
-1, 0, 2
Let w(o) = 15*o**4 + 20*o**3 + o**2 - o - 3. Let m(v) = -7 - 4*v**2 + 40*v**3 + 4*v**2 + 5*v**2 + 31*v**4 - 4*v**2 - v. Let c(x) = 3*m(x) - 7*w(x). Factor c(u).
-4*u*(u + 1)**2*(3*u - 1)
Determine w, given that 80*w + 4 - 108 - 4*w**2 - 140*w = 0.
-13, -2
Let s(r) = -10*r - 70. Let d be s(-7). Let g(v) be the second derivative of -4*v - 6*v**2 - 4*v**3 + d - 3/4*v**4. Factor g(f).
-3*(f + 2)*(3*f + 2)
Let a(z) = 30 - 14*z - 6*z**2 - 22 - 18. Let c(t) = -7*t**2 - 13*t - 9. Let d(l) = 3*a(l) - 2*c(l). Solve d(u) = 0 for u.
-3, -1
Let t(l) be the first derivative of l**4 - 11 + 0*l + 2/5*l**5 - 2/3*l**3 - 2*l**2. Factor t(m).
2*m*(m - 1)*(m + 1)*(m + 2)
Let l(z) = -178*z**2 - 42*z + 10. Let g(s) = 179*s**2 + 41*s - 10. Let w(i) = 3*g(i) + 4*l(i). Find y, given that w(y) = 0.
-2/5, 1/7
Let r(k) be the third derivative of -k**5/20 + 25*k**4/2 + 102*k**3 + 76*k**2. Determine x, given that r(x) = 0.
-2, 102
Suppose -9*b + 35 = -4*b. Find y, given that -2*y**2 - 29*y**4 + 0*y**3 - b*y**3 + y + 25*y**4 = 0.
-1, 0, 1/4
Suppose -223*s + 12 = -219*s. Let i(o) be the first derivative of 11 + 1/9*o + 1/9*o**s + 1/6*o**2 + 1/36*o**4. Determine r, given that i(r) = 0.
-1
Let t = 99 + -95. Let l(f) be the second derivative of 0*f**t + 0 - 3*f + 1/45*f**6 + 1/30*f**5 + 0*f**3 + 0*f**2. Find y such that l(y) = 0.
-1, 0
Let t(z) = 12*z**4 - 22*z**3 - 38*z**2 + 28*z. Let y(k) = k**4 - k**3 - 2*k**2. Let v(x) = -t(x) + 10*y(x). Factor v(u).
-2*u*(u - 7)*(u - 1)*(u + 2)
Factor -213/2 + 1/2*z**2 + 106*z.
(z - 1)*(z + 213)/2
Let h(z) be the first derivative of -z**7/273 + z**5/65 - z**3/39 + 3*z + 12. Let j(s) be the first derivative of h(s). Factor j(n).
-2*n*(n - 1)**2*(n + 1)**2/13
Let t(k) be the first derivative of -3*k**5/40 + 3*k**4/4 - 3*k**3 + 6*k**2 - 6*k + 109. Factor t(b).
-3*(b - 2)**4/8
Suppose -4*d + 121 = -3*j, 3*d - 2*j = 103 - 12. Let m be d/11 - (-2)/11. Suppose 2/3*s**2 + 2/9*s**m + 4/9*s + 0 = 0. What is s?
-2, -1, 0
Suppose 13/4 + 3/2*s**2 + 19/4*s = 0. What is s?
-13/6, -1
Let j(n) be the second derivative of n**4/66 + 13*n**3/33 - 68*n**2/11 - 38*n. Factor j(x).
2*(x - 4)*(x + 17)/11
Let u = 50 - 48. Let f be u/4*(14/(-10) + 3). Factor -28/5*v**2 - 4*v - f - 12/5*v**3.
-4*(v + 1)**2*(3*v + 1)/5
Let x be 858/(-110) + (1 + 2 - (-4 + -1)). What is w in 1/5*w**2 + 0 + x*w = 0?
-1, 0
Suppose 0 = v + v - 3*k - 28, -3*k = 5*v - 112. Let z be (-10)/15*(-6)/v. Factor -1/5*b + 1/5*b**3 + 1/5*b**2 - z.
(b - 1)*(b + 1)**2/5
Let r = 6215/24924 + 4/6231. Solve -1/4*p**2 + r*p + 1/2 = 0 for p.
-1, 2
Let d = 419 - 417. Suppose -2 = -2*r + 4. Factor 0*y + 1/6 - 1/3*y**d + 0*y**r + 1/6*y**4.
(y - 1)**2*(y + 1)**2/6
Let x(h) be the third derivative of h**8/1680 - h*