, 0, 2
Suppose -1/2*l**3 + 11/2*l**2 + 0 - 9*l = 0. Calculate l.
0, 2, 9
Let l = 30 - 27. Suppose -l = 4*h - 23. Factor -16*g + 36*g**2 + h - 8*g**2 - 6 - 11.
4*(g - 1)*(7*g + 3)
Let j(v) = 3*v**2 - 2*v. Let z be j(2). Factor 5 + 4*y**5 + 32*y**2 - 3 + 2 - z*y**4 + 4 - 28*y - 8*y**3.
4*(y - 1)**4*(y + 2)
Let v(o) be the third derivative of -o**5/120 + 11*o**4/24 - 19*o**3/4 + 375*o**2. Factor v(d).
-(d - 19)*(d - 3)/2
Let p = -601/9 + 67. Let j = 23 + -19. Factor -4/9*u**3 + 0 + p*u + 0*u**2 + 0*u**j + 2/9*u**5.
2*u*(u - 1)**2*(u + 1)**2/9
Suppose 3*x - 7*x = -8. Let y = 11 - 9. Let -2*m**2 + m + m**y + 0*m + 2*m**x - 2 = 0. Calculate m.
-2, 1
Let w = -72964/3 - -24324. Let 2/3*o**3 + w*o**2 + 0 + 8/3*o = 0. Calculate o.
-2, 0
Let j(k) = 8*k - 1 - 13*k + 4*k + 2*k. Let u(y) = -y**2 + 4*y - 3. Let q(r) = 2*j(r) - 2*u(r). Factor q(g).
2*(g - 2)*(g - 1)
Let k(d) = 11*d + 1102. Let c be k(-100). What is v in -27/2*v - 3/2*v**3 + 9*v**c + 0 = 0?
0, 3
Let p(z) be the first derivative of 3*z**4/28 - 6*z**3/7 + 27*z**2/14 - 12*z/7 - 13. Find c, given that p(c) = 0.
1, 4
Let t(q) = -q + 7. Suppose 3 = -0*p + p. Let v be t(p). Factor -4*w**2 - 2*w**3 + 1 + 2*w - w**v + 4*w**2.
-(w - 1)*(w + 1)**3
Find g, given that -5*g**3 - 132*g - 15*g**2 + 80*g + 40 + 82*g = 0.
-4, -1, 2
Let n(c) be the third derivative of c**7/70 - c**6/15 + c**5/20 + c**4/12 + 5*c**2 + 15*c. Suppose n(b) = 0. What is b?
-1/3, 0, 1, 2
Let j(k) be the first derivative of k**3/3 + 15*k**2 + 29*k + 221. Factor j(f).
(f + 1)*(f + 29)
Let m = -111 - -93. Let f be (14/(-6) - -2)/(15/m). Find l, given that 0 - f*l**2 - 4/5*l + 2/5*l**3 = 0.
-1, 0, 2
Factor 206*g + 3*g**2 + 197*g - 489*g + 266*g.
3*g*(g + 60)
Suppose 2*r = 6*r + 4, 1 = f + r. Find u, given that -4*u**2 + 6 - f - 2 + 2 = 0.
-1, 1
Let b(x) be the first derivative of -1/3*x**2 + 4/3*x**4 - 7/9*x**6 + 4/5*x**5 + 0*x - 4/3*x**3 - 46. Let b(y) = 0. What is y?
-1, -1/7, 0, 1
Factor 0 - 3/5*d**2 + 39/5*d.
-3*d*(d - 13)/5
Suppose -3*w = -c - 0*c + 14, -26 = -3*c + 5*w. Suppose 0*u**2 + 2*u**3 - u**c + 28*u - u**4 - 28*u = 0. What is u?
0, 1
Let y(j) be the first derivative of -4/11*j - 8 - 25/11*j**2 - 56/11*j**3 - 18/11*j**4. Factor y(m).
-2*(m + 2)*(6*m + 1)**2/11
Let l(s) = -2*s + 8. Let a be l(6). Let y be (-69)/(-21) - a/(-14). Let r**2 + 10*r**y - 5*r**2 - 2*r**3 - 4*r**3 - 4*r + 4*r**4 = 0. Calculate r.
-1, 0, 1
Let k(a) be the first derivative of 4*a**3/3 - 4*a**2 + 29. Find b such that k(b) = 0.
0, 2
Let n be (-10)/(-52)*(-16)/(-20). Let a(f) = -f**2 + 11*f - 25. Let y be a(6). Factor n*r**y - 2/13*r**4 + 0*r + 0 + 0*r**3 + 0*r**2.
2*r**4*(r - 1)/13
Let q(y) be the first derivative of y**4/8 - y**3 + 9*y**2/4 - 14*y - 47. Let l(g) be the first derivative of q(g). Find v such that l(v) = 0.
1, 3
Let f = -14/3 - -44/9. Suppose 2/9*s**2 + 0 + f*s = 0. What is s?
-1, 0
Let k(t) be the second derivative of -t**4/4 - 203*t**3/4 - 303*t**2/4 - 252*t + 1. Factor k(l).
-3*(l + 101)*(2*l + 1)/2
Let f(k) be the second derivative of 10*k**7/21 + k**6/2 - 21*k**5/4 + 85*k**4/12 - 5*k**3/2 + 86*k. Let f(x) = 0. Calculate x.
-3, 0, 1/4, 1
Let g be (-9)/6 + (-45)/(-6). Suppose 0 = -g*k + 79 + 11. Determine i, given that 10 + 65*i**2 + k*i**2 + 80*i**3 - 5*i - 15 = 0.
-1, -1/4, 1/4
Let l(t) be the second derivative of 1/3*t**4 + 2/3*t**3 - 2/15*t**6 - 1/5*t**5 + 28*t + 0*t**2 + 0. Find d such that l(d) = 0.
-1, 0, 1
Let l(a) = -2*a**2 - 20*a + 80. Let g be l(-13). Factor -50*c - 5*c**g - 500/3 - 1/6*c**3.
-(c + 10)**3/6
Factor 1/2*m**2 + 7 - 9/2*m.
(m - 7)*(m - 2)/2
Let c(d) be the second derivative of 0*d**2 - 18*d + 1/70*d**5 + 0 - 1/42*d**4 + 0*d**3. Factor c(k).
2*k**2*(k - 1)/7
Factor -6*u**2 - 2/3*u**5 + 0*u + 0 - 14/3*u**4 + 34/3*u**3.
-2*u**2*(u - 1)**2*(u + 9)/3
Let g(t) be the second derivative of t**5/220 - 5*t**4/66 - 107*t - 1. Suppose g(c) = 0. What is c?
0, 10
Let q(i) be the second derivative of 5*i**7/42 + 3*i**6/5 - 23*i**5/20 - 16*i**4/3 - 2*i**3 + 8*i**2 + i + 216. Let q(d) = 0. Calculate d.
-4, -1, 2/5, 2
Let t = -465 + 468. Determine o so that 12/5*o**2 + 0*o + 3/5*o**4 + 0 + 12/5*o**t = 0.
-2, 0
Let q be ((-3)/5)/1*(-65)/52. Let a = -83/2 + 43. Factor -3/4*g - a + q*g**2.
3*(g - 2)*(g + 1)/4
Let h(n) be the third derivative of 3*n**8/560 + n**7/42 + 7*n**6/180 + n**5/30 - 19*n**4/24 + 5*n**2. Let y(s) be the second derivative of h(s). Factor y(i).
4*(i + 1)*(3*i + 1)**2
Suppose 34 = -6*p - 2. Let n be (-11 + 5)/(45/p). Find j, given that -n + 2/5*j**3 + 2*j - 8/5*j**2 = 0.
1, 2
Suppose 165*f = 142*f. Let c(h) be the first derivative of -2 - 3/20*h**4 - 1/10*h**2 + f*h + 1/25*h**5 + 1/5*h**3. Determine z, given that c(z) = 0.
0, 1
Suppose 109*l = 87*l. Factor l + 1/2*z**2 + 1/6*z**3 + 0*z.
z**2*(z + 3)/6
Let z(x) be the third derivative of -5*x**5/12 - 35*x**4/4 - 40*x**3/3 - 192*x**2. Factor z(c).
-5*(c + 8)*(5*c + 2)
Let b = 35449 - 35447. Factor -2/7*f**5 + 0 + 2/7*f**b - 2/7*f**4 + 2/7*f**3 + 0*f.
-2*f**2*(f - 1)*(f + 1)**2/7
Let i(g) be the third derivative of g**9/15120 + g**8/2520 + g**7/1260 + g**5/12 - 21*g**2. Let f(d) be the third derivative of i(d). Factor f(n).
4*n*(n + 1)**2
Suppose -118*g + 113*g + 18 = 4*n, 0 = -3*g + 3*n. Let i(w) be the first derivative of -w**3 + 0*w - w**g - 1/4*w**4 - 2. Solve i(f) = 0.
-2, -1, 0
Let g be ((-6)/(-21) - 9/7)*1. Let j be (-12)/(-10) + g - (-13)/10. Factor -3/2*c**3 - j*c**2 + 0 + 3/2*c**4 + 3/2*c.
3*c*(c - 1)**2*(c + 1)/2
Suppose -76/7*o + 0 - 6*o**2 - 2/7*o**3 = 0. What is o?
-19, -2, 0
Let m(f) be the first derivative of -4*f**3/9 + 4*f**2/3 + 4*f - 31. Factor m(h).
-4*(h - 3)*(h + 1)/3
Let a(v) be the first derivative of -2/15*v**3 - 8/5*v - 4/5*v**2 - 3. Solve a(p) = 0.
-2
Let i(z) = z**2 + 83*z + 1570. Let a be i(-29). Determine u, given that -2/3*u + 0 + 2/3*u**2 - 2/3*u**a + 2/3*u**3 = 0.
-1, 0, 1
Let q be ((-9)/(-5))/((-15)/(-25)). Determine m so that -4*m**3 - 4*m**4 + 4*m**3 + 9*m**4 - 5*m**2 + 5*m - 5*m**q = 0.
-1, 0, 1
Let u(g) = -g**2 + 7*g - 6. Let f be u(5). Factor 48 - 48 + f*w**2 + 12*w.
4*w*(w + 3)
Determine a, given that 72*a - 1944 - 2/3*a**2 = 0.
54
Let y(q) be the first derivative of 5*q**4/4 + 10*q**3 + 45*q**2/2 + 20*q + 30. Factor y(r).
5*(r + 1)**2*(r + 4)
Let t = -22 - -24. Suppose 5*a - 2 = 4*b, 0*b - 2 = -t*b + a. Factor 6*y - b - 1 + 2*y - 4*y**2 - 1.
-4*(y - 1)**2
Let b(f) = f**3 - f**2 - f + 1. Let z(t) = -5*t**4 + 36*t**3 - 76*t**2 + 4*t - 4. Suppose 8*u = 6*u + 8. Let d(a) = u*b(a) + z(a). Solve d(c) = 0.
0, 4
Let w(h) = h**2 + 2*h - 59. Let o be w(-9). Let x(q) be the first derivative of 0*q + 2 - 4/15*q**3 + 1/10*q**o + 1/5*q**2. Factor x(j).
2*j*(j - 1)**2/5
Let h = 528 + -528. Let o(f) be the second derivative of 0*f**3 + 7/60*f**5 - 1/18*f**4 - 7*f - 1/18*f**6 + 0 + h*f**2. Let o(s) = 0. Calculate s.
0, 2/5, 1
Suppose -14 = -5*z - 2*l, 2*z - l = -3 + 5. Let v(m) be the third derivative of 0*m - 1/144*m**4 + 6*m**z - 1/360*m**5 + 1/18*m**3 + 0. Factor v(s).
-(s - 1)*(s + 2)/6
Let y be 2/((-2)/4*-2). Factor 5*z**y + 36 - 145*z + 9 + 115*z.
5*(z - 3)**2
Let p(j) be the first derivative of j**3/3 - 46. Let i(v) = 5*v**2 - 10*v + 12. Let s(k) = i(k) - 3*p(k). Find w such that s(w) = 0.
2, 3
Let a be 3/(-18) - ((-471)/(-126) + -4). Let i(l) be the first derivative of 2/7*l + 1/7*l**2 - 1/14*l**4 - a*l**3 + 5. Determine f, given that i(f) = 0.
-1, 1
Let 5/8*u**3 - 25/4 + 1/4*u**2 - 125/8*u = 0. Calculate u.
-5, -2/5, 5
Let m = 4 + 1. Let -22*n + m*n**3 - 10*n**4 + 22*n + 5*n**5 = 0. What is n?
0, 1
Suppose -139*v + 70*v = 165*v. Let v - 2/5*m**4 + 0*m + 0*m**2 + 4/5*m**3 = 0. What is m?
0, 2
Let t(w) = w**3 - 3*w**2 + 4*w. Let p be t(2). Let f(q) be the first derivative of 0*q + 0*q**2 - 3 + 1/20*q**p + 0*q**3. Factor f(i).
i**3/5
Let u(a) be the second derivative of a**5/4 - 13*a**4/3 - 50*a**3/3 + 24*a**2 - a + 63. What is b in u(b) = 0?
-2, 2/5, 12
Let j(p) be the first derivative of -2*p**3 - 21/4*p**4 - 7 - 24/5*p**5 + 0*p - 3/2*p**6 + 0*p**2. Factor j(q).
-3*q**2*(q + 1)**2*(3*q + 2)
Let x be (-72)/(-30) - (-2)/(-5). Determine l so that l**4 - l**4 + l**4 + 2*l**2 + 3*l**3 + 0*l**x = 0.
-2, -1, 0
Let y(n) be the second derivative of -7/2*n**3 + 5/4*n**4 + 0 - 3/20*n**5 + 13*n + 9/2*n**2. Factor y(w).
-3*(w - 3)*(w - 1)**2
So