c - 3)*(c + 2)/15
Factor 2*g + 0 + 2/9*g**3 - 4/3*g**2.
2*g*(g - 3)**2/9
Suppose 2*d - 182 = 4*z, 5*z - 2*d = -0*d - 226. Let a be z/(-8)*(-1)/2 + 3. Suppose -s**2 - a*s**4 + 0 + 0*s - s**3 = 0. Calculate s.
-2, 0
Find s such that -1/3*s**4 - 2*s**3 + 2*s - 4/3*s**2 + 5/3 = 0.
-5, -1, 1
Let y = -123183907/452 + 272530. Let j = -2/113 - y. Factor -j*v**2 + 0 + 1/4*v.
-v*(3*v - 1)/4
Suppose -k = 3*j + 4 + 4, 0 = -j + k + 4. Let d be ((-196)/36 + 5)*3/j. Suppose 0 + d*o**2 + 2/3*o**3 + 2/3*o = 0. Calculate o.
-1, 0
Let k(z) be the first derivative of -z**9/7560 + z**8/2100 - z**7/2100 + 5*z**3 + 5. Let a(u) be the third derivative of k(u). Determine b, given that a(b) = 0.
0, 1
Let u(y) be the third derivative of -y**6/840 - y**5/70 - 3*y**4/56 + 7*y**2 - 6*y. Factor u(x).
-x*(x + 3)**2/7
Let j(m) = -m**3 - m**2 + m + 398. Let l be j(0). Find n such that 13*n + 12*n + 10 + 299*n**5 - l*n**3 + 163*n**3 - 89*n**5 - 105*n**2 + 95*n**4 = 0.
-1, -1/2, -2/7, 1/3, 1
Let b(t) be the first derivative of t**3 + 4*t**2 - 3*t + 8. Factor b(f).
(f + 3)*(3*f - 1)
Let r be (-2)/((-36)/(-105)) - (-2)/(-12). Let h be r/12*(1 - 1). Let 2/3*u**2 - 2/3 + h*u = 0. Calculate u.
-1, 1
Let d(r) be the third derivative of -r**5/270 + 7*r**4/36 + 101*r**2. Factor d(i).
-2*i*(i - 21)/9
Let j = 28852 + -28850. Factor 4*q**3 + 2*q**4 + 5/2*q**j + 0 + 1/2*q.
q*(q + 1)*(2*q + 1)**2/2
Let a(x) = x**2 + 3*x - 5. Let h be a(-4). Let p(j) = j**3 + j**2. Let b be p(h). Factor b*l**2 - 15*l + 11 + 5 - 3*l**3 + 12*l**2 - 10.
-3*(l - 2)*(l - 1)**2
Let w be 6/(-4 - (-11 - 1)). Solve -w*s**3 + 9/4*s**2 - 3/4*s**4 + 15/4*s + 3/2 = 0.
-1, 2
Let x(h) = -h**2 - 9*h - 6. Let p(g) = 3*g + 4. Let n be p(-4). Let b be x(n). Factor -2 + 7 - 2*m**b - 4*m + 5 - 4.
-2*(m - 1)*(m + 3)
Let a = -2205 + 2208. Let m(k) be the second derivative of 0*k**2 - 1/32*k**4 + 1/240*k**6 + 13*k - 1/80*k**5 + 0*k**a + 0. Let m(n) = 0. Calculate n.
-1, 0, 3
Suppose -1650 = -54*k - k. Let b(z) = -z**3 - 3*z**2 + 4*z. Let f be b(-4). Factor -k*j**3 - 12*j**2 - 24*j**4 + f - 3/2*j.
-3*j*(2*j + 1)**2*(4*j + 1)/2
Let z(g) = -6*g**2 + 190*g + 188. Let l(p) = p**2 + p + 1. Let x(b) = -8*l(b) - z(b). Let x(h) = 0. Calculate h.
-98, -1
Let t(f) = 2*f + 42. Let j be t(-21). What is g in 3/5*g**2 + g**4 + j + 7/5*g**3 + 1/5*g**5 + 0*g = 0?
-3, -1, 0
Suppose 0 = 4*u + 5*j - 36, 0*j - 4*j = -4*u. Let m = u + -2. Suppose -2/3*i**m + 2/3*i**4 + 0 + 4/15*i - 4/15*i**3 = 0. Calculate i.
-1, 0, 2/5, 1
Let y(g) = 11 - 1 - 12*g - 27*g**2 + 5. Let k(a) = -11*a**2 - 5*a + 6. Suppose 0 = 2*v, -4*v + 11 + 4 = -3*w. Let x(d) = w*y(d) + 12*k(d). Factor x(o).
3*(o - 1)*(o + 1)
Factor 2/11*d**5 + 36/11*d**3 + 16/11*d - 40/11*d**2 - 14/11*d**4 + 0.
2*d*(d - 2)**3*(d - 1)/11
Let 3/7*u**4 + 24/7 - 12/7*u + 3/7*u**3 - 18/7*u**2 = 0. What is u?
-2, 1, 2
Let n be (4*3)/(45/30). Suppose 2*a = -n*a. Factor 343/4*o**5 + a - 23*o**2 - 637/4*o**4 + 189/2*o**3 + 2*o.
o*(o - 1)*(7*o - 2)**3/4
Let g be (-1806)/(-231) + (-6)/(-33). Let p(o) be the first derivative of -1/8*o**3 + g - 3/8*o + 5/8*o**2. Find x, given that p(x) = 0.
1/3, 3
Determine o, given that 5*o**2 - 74 - 6 - o - 27*o - 6*o + 4*o = 0.
-2, 8
Let k be (-4)/3*105/(-4). Let l be ((-54)/(-15))/9 + 36/k. Factor 6/7*f**4 + 0 + l*f**3 - 2/7*f + 2/7*f**2.
2*f*(f + 1)**2*(3*f - 1)/7
Let a(m) be the first derivative of 0*m + 2/7*m**2 + 10/7*m**4 - 42 + 44/21*m**3. Determine t so that a(t) = 0.
-1, -1/10, 0
Let -2/7*a**3 + 24/7*a**2 + 8/7*a - 96/7 = 0. What is a?
-2, 2, 12
Let h be (-2)/3*(-1162)/3. Let j = h - 258. Factor 0*g**2 + 4/9*g + j - 4/9*g**3 - 2/9*g**4.
-2*(g - 1)*(g + 1)**3/9
Suppose r - a = 6 - 5, 2*a - 4 = 0. Let n(l) be the first derivative of -3/5*l**5 - 12 - 9/4*l**4 + 0*l**2 - 2*l**r + 0*l. Factor n(q).
-3*q**2*(q + 1)*(q + 2)
Factor -36*f + 1027*f**2 + 1025*f**2 - 2049*f**2.
3*f*(f - 12)
Suppose 5*z + x = 21, 2*x + 2*x = -4*z + 20. Suppose -4*g - 9 = -3*j + 17, -z*j - 3*g = 7. Factor -9/2*b**j - 2*b**4 - 11/2*b**3 + 1/2 - 1/2*b.
-(b + 1)**3*(4*b - 1)/2
Find t such that -2*t**4 + 32/7*t + 38/7*t**2 - 2*t**3 - 2/7*t**5 - 40/7 = 0.
-5, -2, 1
Let b(i) be the third derivative of -i**5/15 - 10*i**4/3 - 34*i**3 - 21*i**2. Factor b(j).
-4*(j + 3)*(j + 17)
Suppose 18*c - 19*c + 2 = -4*r, 0 = 3*c + 2*r - 6. Factor 0*p**c + 0 + 0*p + 1/2*p**3 - 1/2*p**4.
-p**3*(p - 1)/2
Suppose -s - 4*d - 17 + 0 = 0, 3*s - d = 14. Factor 4 + 3*x**4 - 3*x**s + 1 - 5.
3*x**3*(x - 1)
Suppose -1234 = -30*x - 1174. What is p in 1/7*p**x + 2/7*p + 0 - 2/7*p**3 - 1/7*p**4 = 0?
-2, -1, 0, 1
Factor 5*f**3 - 127*f**2 + 30*f**2 + 25*f**2 - 60*f + 32*f**2 + 20*f**2.
5*f*(f - 6)*(f + 2)
Let j be (-2)/(-3) + (-154)/6. Let f = j + 26. Factor -f - 2*r**2 - 4*r**2 + 5*r**2 - 2*r.
-(r + 1)**2
Let t be 5/(-15*((-51)/6 + 8)). Factor -t + 1/3*z**2 + z - z**3 + 1/3*z**4.
(z - 2)*(z - 1)**2*(z + 1)/3
Suppose 0 = 3*h - 2*g - 87, 0 = h - 2*g - 11 - 22. Factor 4 + 30*m**2 + 1 + 1 + 9*m**3 + h*m.
3*(m + 1)*(m + 2)*(3*m + 1)
Let m(b) = b**3 + 9*b**2 - 11*b - 7. Let p be m(-10). Suppose -3*t**2 - 4*t**2 + p*t**2 - t + 5*t**2 = 0. What is t?
0, 1
What is s in -102*s**3 + 2627*s + 2048 + 1204*s + 2*s**4 + 1161*s - 21*s**3 + 1730*s**2 = 0?
-2, -1/2, 32
Suppose 4*a = 3*a + 10. Let t = a + -2. Let -t*k - 6*k - 3*k**2 + 14*k = 0. Calculate k.
0
Let a(i) be the second derivative of i**6/21 + 17*i**5/70 + i**4/2 + 11*i**3/21 + 2*i**2/7 + 106*i. Factor a(j).
2*(j + 1)**3*(5*j + 2)/7
Suppose -54*n = -55*n. Let r(l) be the first derivative of 1/15*l**3 + 1/5*l**4 + 0*l**2 + 11 - 2/15*l**6 - 1/25*l**5 + n*l. Let r(p) = 0. Calculate p.
-1, -1/4, 0, 1
Let g(j) be the second derivative of j**4/6 - 8*j**3/3 - 9*j**2 - 9*j + 13. Solve g(x) = 0 for x.
-1, 9
Suppose -136*x + 36*x = -400. Factor 16/3 - x*n - 4/3*n**2.
-4*(n - 1)*(n + 4)/3
Factor -4 + 139*d - 84*d + 10*d**2 + 5*d**2 - 16.
5*(d + 4)*(3*d - 1)
Let j(f) be the first derivative of f**8/420 + f**7/210 - f**6/30 - f**5/6 - f**4/3 + 10*f**3/3 + 13. Let s(k) be the third derivative of j(k). Factor s(w).
4*(w - 2)*(w + 1)**3
Let u(p) = p**2 + 2*p + 4. Let c be u(0). Let k(m) be the first derivative of -5 + m**2 - 2/5*m**5 - 2*m**3 + 0*m + 3/2*m**c. Factor k(d).
-2*d*(d - 1)**3
Let v(m) be the first derivative of 3/14*m**4 + 0*m - 1/7*m**3 + 5 - 3/7*m**2 + 3/35*m**5. Factor v(d).
3*d*(d - 1)*(d + 1)*(d + 2)/7
Let t(c) = -4*c**3 - 2*c - 1. Let v be (-21)/27 + 4/(-18). Let h be t(v). Factor -4*f**5 - 8*f**3 - f**h - 30*f**3 + 20*f**2 + 40*f + 8*f**3 - 25*f**4.
-5*f*(f - 1)*(f + 2)**3
Let q(y) be the first derivative of -2*y**6/45 - 206*y**5/75 - 5*y**4 + 2*y**3/45 + 10*y**2/3 - 631. Solve q(h) = 0 for h.
-50, -1, 0, 1/2
Let n(z) be the third derivative of z**5/270 - 7*z**4/108 + 3*z**2 + 8*z. Suppose n(d) = 0. What is d?
0, 7
Solve 8*k - 3*k**2 + 384 - 336 + 10*k = 0.
-2, 8
Let h(l) = -2*l**3 - 9*l**2 - 2*l + 1. Suppose -6 = 3*x + 18. Let u be h(x). Determine w so that -4*w**2 + u*w - 18*w**3 - 10*w**5 - 24*w**4 - 465*w = 0.
-1, -2/5, 0
Let x(h) be the first derivative of -5*h**3 - 20*h**2 + 80*h + 101. Determine f, given that x(f) = 0.
-4, 4/3
Let g be 2*(-118)/240 - (-31 - -30). Let m(b) be the third derivative of -11*b**2 + 0*b**3 - 1/24*b**4 + 0*b + g*b**5 + 0. Factor m(x).
x*(x - 1)
Let b = 5595/2 + -2796. Factor -17/4*c**2 - 17/4*c - 1/4*c**4 - 7/4*c**3 - b.
-(c + 1)**2*(c + 2)*(c + 3)/4
Let x(y) be the second derivative of y**5/160 + 7*y**4/32 + 13*y**3/16 + 19*y**2/16 - 2*y + 23. Factor x(b).
(b + 1)**2*(b + 19)/8
Let k(h) be the third derivative of -h**6/270 + 12*h**5/5 - 648*h**4 + 93312*h**3 + 228*h**2. Solve k(g) = 0 for g.
108
Factor 0 + 0*i - 2*i**3 - 1/2*i**4 + 6*i**2.
-i**2*(i - 2)*(i + 6)/2
Let l = 13502 - 28354199/2100. Let w(x) be the third derivative of 3/200*x**5 + 1/15*x**3 + x**2 - 1/1200*x**6 - 11/240*x**4 + 0*x - l*x**7 + 0. Factor w(p).
-(p - 1)**3*(p + 4)/10
Let q be 1/2 + (-3 - -10) - 3. Let x(l) be the second derivative of -3*l + q*l**2 + 25/12*l**4 - 5*l**3 + 0. Solve x(s) = 0.
3/5
Let g(i) be the second derivative of i**5/60 - i**4/12 - 2*i**3/9 + 11*i. Factor g(u).
u*(u - 4)*(u + 1)/3
Suppose -2*k + 12 - 8 = 0. Factor 5*r**3 - k*r**2 + 5 - 3*r**4 + 0*r**2 - 5.
-r**2*(r - 1)*(3*r - 2)
Let l(y) = 201*y**3 + 79*y**2 - 175*y - 95. Let c(n) = -202*n**3 - 78*n**2 + 174*n + 