= 279/80 - x. Factor -9/5*v**3 + c - 9*v - 48/5*v**2.
-3*(v + 3)**2*(3*v - 2)/5
Let u = -35 - -37. Let c be 2/5 + 26/10. Solve -4*p**2 - 3*p**3 + 3*p**u + 4*p**2 + 3*p**5 + 0*p**c - 3*p**4 = 0 for p.
-1, 0, 1
Let y(z) = -16*z - 96. Let q be y(-6). Let x(g) be the third derivative of -1/9*g**3 - 3*g**2 - 1/18*g**4 + 0 + q*g - 1/90*g**5. Factor x(l).
-2*(l + 1)**2/3
Suppose v = 3*t + t + 198, 2*v - 391 = 3*t. Find o, given that v*o**2 + 13*o**2 - 277*o**3 + 75*o**4 + 67*o**3 - 84*o + 12 = 0.
2/5, 1
Let x(g) = -g**3 + g - 2. Let h(d) = 20*d**4 - 20*d**3 - 48*d**2 - 8*d - 16. Let s(a) = -h(a) + 8*x(a). Factor s(q).
-4*q*(q - 2)*(q + 1)*(5*q + 2)
Let j(u) be the second derivative of 1/168*u**7 - 1/120*u**6 + 0*u**2 + 0*u**3 + 1/48*u**4 - 14*u - 1/80*u**5 + 0. Factor j(y).
y**2*(y - 1)**2*(y + 1)/4
Let f(u) = -10*u + 35. Let p be f(3). Let t be (-68)/12 + (p - -2). Factor 4/3*c**3 - 4/3*c**4 - 4/3*c**5 + 0 + 0*c + t*c**2.
-4*c**2*(c - 1)*(c + 1)**2/3
Let j = 327/812 + 3/116. Let t(x) = x**3 - 10*x**2 + 23*x - 11. Let y be t(2). What is c in j*c**y + 6/7*c + 0 + 9/7*c**2 = 0?
-2, -1, 0
Find v, given that -3062 - 284*v + v**2 + 14091 + 9135 = 0.
142
Let b(g) = g. Suppose 0 = 2*j + 3 - 5. Let t(u) = -u**2 - u. Let o(h) = j*t(h) + 4*b(h). Suppose o(q) = 0. Calculate q.
0, 3
Let b(q) = q**3 - 8*q**2 - 10*q + 9. Let z be b(9). Let l be (-2)/(-13) - (29/(-65) + z). Factor 0*a - 1/5*a**5 - l*a**3 - 1/5*a**2 - 3/5*a**4 + 0.
-a**2*(a + 1)**3/5
Factor -3/5*z**4 + 48/5*z**2 + 9*z**3 + 0*z + 0.
-3*z**2*(z - 16)*(z + 1)/5
Let g = -143826/7 - -20547. Find o such that -6/7 + 15/7*o - 12/7*o**2 + g*o**3 = 0.
1, 2
Suppose -109*c - 2 = -323*c - 2. Find b such that 0 + 4/5*b**3 + c*b - 2/5*b**4 - 2/5*b**2 = 0.
0, 1
Let a be 1 + (-2 - -4) + 2. Solve -38*j**5 - 34*j**5 + a*j**3 + 67*j**5 = 0.
-1, 0, 1
Let d(j) be the third derivative of j**8/112 - 3*j**7/70 + j**6/20 + j**5/10 - 3*j**4/8 + j**3/2 + 121*j**2. Factor d(x).
3*(x - 1)**4*(x + 1)
Let c(r) be the third derivative of 5*r**5/12 + 515*r**4/6 + 410*r**3/3 + 45*r**2. What is b in c(b) = 0?
-82, -2/5
Let k(w) be the first derivative of -w**2 + 21 + 3/8*w**4 + 0*w + 2/3*w**3. Solve k(m) = 0 for m.
-2, 0, 2/3
Let u = -322 + 327. Let l(f) be the third derivative of 0 + 0*f**3 - 1/60*f**u + 0*f - 11*f**2 + 1/24*f**4. What is s in l(s) = 0?
0, 1
Let d(j) be the second derivative of j**5/30 + j**4/4 - 4*j**3/3 + 3*j**2/2 + 6*j. Let q(x) be the first derivative of d(x). Factor q(r).
2*(r - 1)*(r + 4)
Find h such that 52/21*h**3 - 6/7*h**4 + 92/7*h + 262/21*h**2 + 80/21 - 4/21*h**5 = 0.
-5, -2, -1, -1/2, 4
Let t(v) be the second derivative of -v**7/26460 - v**6/7560 - 7*v**4/6 + 12*v. Let m(j) be the third derivative of t(j). Factor m(p).
-2*p*(p + 1)/21
Let m(z) = -z**3 - 15*z**2 + 35*z + 20. Let b be m(-17). Factor -4*g**3 - 19*g**b + 0*g**3 - 10*g**2 - 12*g**3.
-5*g**2*(7*g + 2)
Suppose -2*j - 10 = -7*j. Let b be 1 - -3*(3 - 2). Factor 0*l**2 - b - 2*l**2 + j + 4*l.
-2*(l - 1)**2
Let a be (-8)/(8 + -17 - 0). Let c(l) be the second derivative of 7*l + 31/15*l**5 - 20/9*l**4 + 0 + a*l**3 - 2/3*l**6 + 0*l**2. Suppose c(w) = 0. What is w?
0, 2/5, 2/3, 1
Let h be 6/(-4) + 9*3/6. Suppose -13*m + h*m = -20. Factor 38/5*q - 10*q**3 + 4/5 + 16*q**m.
-2*(q - 2)*(5*q + 1)**2/5
Let h(z) be the third derivative of z**6/40 - 27*z**5/20 + 231*z**4/8 - 637*z**3/2 - 5*z**2 + 55*z. Factor h(d).
3*(d - 13)*(d - 7)**2
Factor 5/2*f**2 - 1/2*f**3 + 1/2*f - 5/2.
-(f - 5)*(f - 1)*(f + 1)/2
Suppose -2483*p**2 + 6254*p**3 - 16940*p**4 + 740*p + 6655*p**5 - 40 + 2793*p**3 - 2507*p**2 - 700*p**3 + 6228*p**3 = 0. What is p?
2/11, 1
Let m = 27 + -24. Solve 9*p**4 + 17*p**3 - 20*p**m + 9*p**5 - 3*p**4 = 0 for p.
-1, 0, 1/3
Factor -5/2 - 5/4*u + 5/2*u**2 + 5/4*u**3.
5*(u - 1)*(u + 1)*(u + 2)/4
Let -1/3*k**2 + 79*k + 238/3 = 0. What is k?
-1, 238
Let r(f) be the first derivative of -2*f**6/15 - 4*f**5/25 + 23. Let r(k) = 0. Calculate k.
-1, 0
Factor 0 + 27/4*v**2 + 3/4*v**3 - 15/2*v.
3*v*(v - 1)*(v + 10)/4
Let p(s) be the first derivative of -38 - 7/2*s**2 + 1/4*s**4 - 10*s + 4/3*s**3. Factor p(x).
(x - 2)*(x + 1)*(x + 5)
Let z(m) be the third derivative of m**8/23520 - m**7/4410 - m**6/840 - 3*m**4/2 + 31*m**2. Let v(x) be the second derivative of z(x). Factor v(u).
2*u*(u - 3)*(u + 1)/7
Suppose -57 = -4*l - 3*z - 0, l - z - 16 = 0. Find p, given that l*p + 10 + 5*p**2 + 0 - 15*p**2 + 0*p = 0.
-1/2, 2
Let f(h) be the first derivative of h**5/180 + h**4/36 + 23*h**2/2 + 26. Let z(o) be the second derivative of f(o). Suppose z(y) = 0. What is y?
-2, 0
Suppose -3*i + 0 + 9 = 0. Suppose -i*z + 6*z + 2*z = 0. Let 0 + h**3 - 1/2*h**5 + 0*h**4 + z*h**2 - 1/2*h = 0. What is h?
-1, 0, 1
Suppose 2*g - 4 = 0, 4*t = 5*g + 23 + 7. Determine o so that 2*o**4 - 5*o**5 + t*o**5 - 4*o**5 - 2*o**5 = 0.
0, 2
Let w(y) = 10*y**4 - 2*y**3 + 28*y**2 + 26*y. Let n(d) = 6*d**4 + 14*d**2 + 12*d. Let s(l) = 7*n(l) - 4*w(l). Suppose s(k) = 0. What is k?
-5, -1, 0, 2
Factor 0*r + 4/3*r**2 + 0 + 10/9*r**4 - 22/9*r**3.
2*r**2*(r - 1)*(5*r - 6)/9
Let o be (4/(-10))/(7/(-840)). Suppose -5*c**3 + 8 - 30*c**2 + 340*c - o - 400*c = 0. What is c?
-2
Let g(z) be the second derivative of z**5/420 + 7*z**2 - 5*z. Let f(a) be the first derivative of g(a). Factor f(m).
m**2/7
Let b = 448 + -445. Let k(y) be the first derivative of -8 - 16*y + 92/3*y**b + 67*y**4 + 98/3*y**6 - 32*y**2 - 476/5*y**5. Suppose k(t) = 0. Calculate t.
-2/7, 1
Let o = 1706/585 + -9/65. Factor o + 35/9*h + 1/9*h**3 + 11/9*h**2.
(h + 1)*(h + 5)**2/9
Let x = 7 - 5. Let p = -2 - -4. Factor c**2 - p*c**2 + 3 - 4 + x*c.
-(c - 1)**2
Let n(g) be the first derivative of -1/7*g - 6 + 1/28*g**4 + 1/21*g**3 - 1/14*g**2. Factor n(c).
(c - 1)*(c + 1)**2/7
Let u(d) be the first derivative of -d**5/240 - d**4/32 + d**3/6 - 9*d**2/2 - 12. Let i(r) be the second derivative of u(r). Find b such that i(b) = 0.
-4, 1
Suppose 2*q - 4 = 0, 0*j + 24 = 3*j - 3*q. Let u be 10/(-25) + j/25. Determine a so that u + 0*a + 1/4*a**2 = 0.
0
Let c(q) be the third derivative of -q**5/12 - 145*q**4/24 - 45*q**3 + 197*q**2. Let c(v) = 0. Calculate v.
-27, -2
Let h be 12 - (20 - (-2 + 10)). Let x(i) be the third derivative of 1/1995*i**7 + 0*i**6 + 1/57*i**3 + h + 10*i**2 - 1/285*i**5 + 0*i + 0*i**4. Factor x(w).
2*(w - 1)**2*(w + 1)**2/19
Suppose 4*m - 2*m + 2 = 2*b, -8 = 2*m - 5*b. Let o(r) = -126*r**3 - 151*r**2 - 61*r - 7. Let a(t) = -t**3 - t**2 - t + 1. Let f(s) = m*o(s) - a(s). Factor f(c).
-(5*c + 2)**3
Let s(g) = -175*g**3 + g + 85*g**3 - 5*g**2 - 7 + 29 + 89*g**3. Let f be s(-4). Factor -m**f + 6/5 + 13/5*m.
-(m - 3)*(5*m + 2)/5
Let d(l) be the first derivative of 3*l**5/10 - 15*l**4/8 + l**3/2 + 63*l**2/4 - 27*l + 111. Find m, given that d(m) = 0.
-2, 1, 3
Suppose 0 = -3*k - x + 31, 3*k - 80 = -2*k + 4*x. Let f = k - 9. Factor -2*d**f - 5*d + 32*d**2 + 5*d - 31*d**2 + d**4.
d**2*(d - 1)**2
Let o(b) be the third derivative of b**8/56 + b**7/7 + 5*b**6/16 - b**5/4 - 5*b**4/4 + 2*b**3 - 153*b**2. Solve o(t) = 0 for t.
-2, 1/2
Let a(y) be the first derivative of -11*y**6/18 + 3*y**5/5 + 19*y**4/4 + 43*y**3/9 + y**2 + 86. Find o such that a(o) = 0.
-1, -2/11, 0, 3
Let i(p) = p**3 + p. Let v(g) be the second derivative of g**5/4 + g**4/2 + 7*g**3/6 - 13*g. Let j(k) = 6*i(k) - 2*v(k). Let j(r) = 0. Calculate r.
-2, -1, 0
Let y(a) be the third derivative of -a**6/160 - a**5/8 - 21*a**4/32 - 432*a**2. Factor y(u).
-3*u*(u + 3)*(u + 7)/4
Suppose 74 = -4*l - 278. Let k = l - -93. Solve 1/2*w**4 + 0*w - 1/2*w**k + 1/2*w**3 - 1/2*w**2 + 0 = 0 for w.
-1, 0, 1
Let n(d) be the third derivative of d**5/60 + 61*d**4/12 - 613*d**2. Factor n(c).
c*(c + 122)
Let k(w) be the second derivative of 10/7*w**7 - 145/12*w**4 + 31/6*w**6 + 3/4*w**5 - 5*w**2 + 8*w + 0 - 25/2*w**3. Find g, given that k(g) = 0.
-2, -1, -1/3, -1/4, 1
Let m = -4544 + 4548. Factor -3*h**2 - 1/2*h**m + 4*h**3 - 25/2 - 20*h.
-(h - 5)**2*(h + 1)**2/2
Let c be 0/(-12)*(-2 + 1). Solve -1/2*l**2 + c*l + 1/2 = 0.
-1, 1
Let i(f) = -13*f**5 + 11*f**4 - 12*f**3 - 12*f**2 - 6*f. Let g(s) = -2*s**5 + s**4 - s**3 - 2*s**2 - s. Let h(p) = 6*g(p) - i(p). Let h(m) = 0. Calculate m.
0, 2, 3
Let h be 63/385*3/(36/40). Factor h*l + 8/11 - 2/11*l**2.
-2*(l - 4)*(l + 1)/11
Let t(r) be the first derivative of 1