d*(d - 2)*(d - 1)*(d + 1)/7
Solve -2/9*r**3 - 40/9 + 2/9*r + 40/9*r**2 = 0 for r.
-1, 1, 20
Let w(r) = -r**2 + 1. Let z(c) = 6*c - 2. Suppose 5*y = 3*v + 17, -3*y - y = -2*v - 14. Let t(j) = v*z(j) + 2*w(j). Factor t(o).
-2*o*(o - 3)
Let q(k) be the first derivative of 1/8*k - 3/40*k**5 - 8 - 1/48*k**6 + 1/12*k**3 - 1/16*k**4 + 3/16*k**2. Let q(o) = 0. What is o?
-1, 1
Let n(i) be the third derivative of i**9/15120 - i**8/6720 - i**7/2520 + i**6/720 - 5*i**4/3 - 26*i**2. Let o(f) be the second derivative of n(f). Factor o(t).
t*(t - 1)**2*(t + 1)
Let n(d) be the second derivative of -7*d**4/3 - 44*d**3/3 - 6*d**2 + 340*d. Solve n(h) = 0.
-3, -1/7
Let w be -13*(-1)/((-3)/(-3)). Let p be (w/(-52))/(21/(-240)). Find h, given that -8/7*h - 2*h**2 - 6/7*h**4 + p*h**3 + 8/7 = 0.
-2/3, 1, 2
Let g(i) = -9*i**4 - 69*i**3 + 264*i**2 - 18*i - 288. Let c(z) = z**4 + z**3 - 8*z**2 + z. Let r(v) = -6*c(v) - g(v). What is x in r(x) = 0?
-24, -1, 2
Let b(k) be the third derivative of 0*k**3 - 1/3*k**5 - 2/35*k**7 + 0 - 1/2*k**4 + 0*k + 11/30*k**6 - 41*k**2. Factor b(c).
-4*c*(c - 3)*(c - 1)*(3*c + 1)
Let u = 16 - 14. Suppose u*x - 19 = 5*t, 3*t + 1 = -x + 2*t. Factor -18*s**x + 11*s**2 + 11*s**2.
4*s**2
Let a = -44 + 23. Let g be (-3)/(-5)*(119/a - -11). Solve -2*i**3 + 2/5*i**4 + 8/5*i + 12/5*i**2 - g = 0.
-1, 2
Solve 7 + 101*p + 130*p**2 - 121*p**2 + 15 = 0.
-11, -2/9
Suppose 0 = q - 45 + 41. Let t(y) be the first derivative of 3 - 3/5*y**5 + 0*y**2 + 0*y + 0*y**q - 1/2*y**6 + 0*y**3. Solve t(z) = 0 for z.
-1, 0
Let j be (-3)/(-9)*8562/14. Let d = j + -203. Factor -4/7 + d*a - 2/7*a**2.
-2*(a - 2)*(a - 1)/7
Let x be (-7 - (1 + -6 + -2))/6. Factor 0*r**2 + x*r + 4/7*r**4 - 2/7*r**5 + 0 - 2/7*r**3.
-2*r**3*(r - 1)**2/7
Suppose -o + 2*o - 25 = -3*l, -2*o = -3*l - 59. Suppose 8 = -4*n + o. Factor n*j**3 - 10*j**2 + 22*j + 10 - 52*j + 25*j.
5*(j - 2)*(j - 1)*(j + 1)
Determine j, given that -188*j**3 + 96*j**3 + 53*j**2 + 90*j**3 + 77*j**2 = 0.
0, 65
Let t(z) = z**3 - 7*z**2 - 100*z - 11. Let g be t(-7). Factor 4/7 + 0*n - 1/7*n**g - 3/7*n**2.
-(n - 1)*(n + 2)**2/7
Let -2/9 - 1/9*a**3 + 1/9*a + 2/9*a**2 = 0. Calculate a.
-1, 1, 2
Let k(j) be the second derivative of 1/6*j**4 + 14*j + 0*j**3 + 0 - 1/6*j**7 + 0*j**2 + 7/20*j**5 - 1/15*j**6. What is r in k(r) = 0?
-1, -2/7, 0, 1
Let n(l) be the second derivative of -l**5/4 + 45*l**4/4 - 325*l**3/2 + 845*l**2/2 - 269*l. Factor n(q).
-5*(q - 13)**2*(q - 1)
Find t such that 70 + 46*t**2 - 2*t**3 + 66*t - t - 7*t**4 - 43 - 2 + t**5 = 0.
-1, 5
Let x(r) be the third derivative of -r**5/45 - 7*r**4/18 - 20*r**3/9 - 4*r**2. Find c, given that x(c) = 0.
-5, -2
Let n be (((-6612)/145)/(-38))/((-26)/(-5) + -2). Find z such that 3/4 - 3/8*z**3 - 3/4*z**2 + n*z = 0.
-2, -1, 1
Let m be (-4)/52*-2 - (-19096)/91. Suppose 3*o = -g - g + 18, 5*o + 3*g = 29. Factor p**2 + m*p**3 - 220*p**3 + o*p**2 - 5*p**4 + 10*p.
-5*p*(p - 1)*(p + 1)*(p + 2)
Let n = -10384/119 - -1770/17. Solve 12/7 + 10*f + 2*f**4 + 74/7*f**3 + n*f**2 = 0 for f.
-3, -1, -2/7
Let o = 359/35 - 34/7. Suppose -6/5*n - 21/5*n**3 + o*n**2 + 0 = 0. Calculate n.
0, 2/7, 1
Let u(b) = b**2 - 100*b - 1856. Let w be u(-16). Factor 80 - 15*z**2 + w*z - 5/2*z**3.
-5*(z - 2)*(z + 4)**2/2
Let s be (5*-1)/(1/5*-5). Let n(p) be the third derivative of 0 + 0*p - 2/15*p**s - 1/30*p**6 - 10*p**2 + 0*p**4 + 0*p**3. Factor n(m).
-4*m**2*(m + 2)
Let z(v) = -2*v**3 - 5*v**2 + 3*v + 3. Let n = -29 + 15. Let h(a) = 3*a**3 - 14*a - 24 + 24*a**2 + 10 + 7*a**3. Let j(p) = n*z(p) - 3*h(p). Factor j(o).
-2*o**2*(o + 1)
Let y(f) be the second derivative of f**9/1512 - f**8/280 + f**7/140 - f**6/180 - 25*f**3/6 - 12*f. Let s(q) be the second derivative of y(q). Factor s(w).
2*w**2*(w - 1)**3
Let v = -6 - 3. Let i = v - -15. Factor -9*m**2 + 21*m**2 - 10*m**2 - i*m.
2*m*(m - 3)
Let h = -71 - -134. Let r be ((-10)/15)/((-6)/h). Find q such that -r*q**3 + 4*q**3 + 2*q**4 + q**4 = 0.
0, 1
Let d(p) be the first derivative of -3*p**4/14 - 20*p**3 + 429*p**2/7 - 432*p/7 + 29. Factor d(o).
-6*(o - 1)**2*(o + 72)/7
Let u = -4749 - -142523/30. Let w = 13/6 - u. Factor 2/5*v**5 - w*v**2 + 0*v - 2/5*v**3 + 2/5*v**4 + 0.
2*v**2*(v - 1)*(v + 1)**2/5
Suppose 4*s + 5 = -3*w, 3*s - 3*w = -6*s + 57. Find k, given that -8/3*k - s + 4/3*k**2 = 0.
-1, 3
Let s(b) = -b + 1. Let o(i) = -2*i**2 + 22*i - 118. Let g(a) = o(a) - 10*s(a). Factor g(y).
-2*(y - 8)**2
Let f(h) = 25*h**2 - 53*h + 48. Let i(j) = -8*j**2 + 18*j - 16. Let y be -34*12/(-56) + 6/(-21). Let n(p) = y*i(p) + 2*f(p). Let n(w) = 0. What is w?
4/3, 2
Factor 4/5*d - 3/5*d**2 - 1/5.
-(d - 1)*(3*d - 1)/5
Let i(c) = 3*c**3 + 24*c**2 - 44*c + 24. Let n(w) = w**3 + 12*w**2 - 22*w + 12. Let s(r) = -6*i(r) + 14*n(r). Factor s(k).
-4*(k - 3)*(k - 2)*(k - 1)
Let o(q) be the third derivative of 17*q**9/15120 + q**8/3360 + q**4/8 + q**3/3 - 21*q**2. Let z(f) be the second derivative of o(f). Solve z(u) = 0 for u.
-2/17, 0
Let a(o) be the second derivative of 8/3*o**3 + o**5 - 8*o**2 + 0 + 13/3*o**4 + 29*o. Find x, given that a(x) = 0.
-2, -1, 2/5
Let b(l) = -l**3 - 4*l**2 - 2*l - 6. Let h be b(-4). Suppose h*o - 3 = 1. Suppose -7 - 5*m**3 - 4*m**4 - 2*m**2 - 3*m**5 + 7 + o*m**5 = 0. What is m?
-2, -1, 0
Factor 18 - 1/3*q**3 + 2/3*q**4 - 18*q**2 - 27*q.
(q - 6)*(q + 3)**2*(2*q - 1)/3
Let d = -26 + 25. Let c be d*((-9)/3 - -1). Factor -q + 6*q**3 + q**2 + q**c - 5*q - 2.
2*(q - 1)*(q + 1)*(3*q + 1)
Let c(w) be the first derivative of 2*w**5/5 + 11*w**4/8 + 5*w**3/6 - w**2/2 + 129. Factor c(m).
m*(m + 1)*(m + 2)*(4*m - 1)/2
Let f(a) be the third derivative of 0 + 0*a**4 + 1/160*a**5 - 1/320*a**6 - 9*a**2 + 0*a**3 + 0*a. Factor f(g).
-3*g**2*(g - 1)/8
Let v(p) be the third derivative of 0 - 6*p**2 + 0*p**3 + 0*p - 2/15*p**5 - 1/12*p**4. Factor v(d).
-2*d*(4*d + 1)
Let j(v) = v**3 + 8*v**2 - 23*v + 8. Let h(y) = -6*y**3 - 57*y**2 + 162*y - 54. Let p(r) = -2*h(r) - 15*j(r). Let p(d) = 0. Calculate d.
-4, 1
Let 144*u**3 + 31 - 208*u + 28*u**2 + 4*u**4 + 17 - 24*u**5 + 8*u**5 = 0. Calculate u.
-2, 1/4, 1, 3
Let t = -22 + 19. Let s be (-2)/(-3) - t/(-9)*-7. Determine q, given that -s*q - 7/4*q**2 + 1 = 0.
-2, 2/7
Suppose 0 = 7*q - q. Let v(m) be the second derivative of -5*m + 0*m**4 + q*m**3 + 0*m**5 + 0*m**2 + 1/14*m**7 - 1/5*m**6 + 0. Determine c so that v(c) = 0.
0, 2
Find r, given that 0 + 15*r - 3/2*r**2 = 0.
0, 10
Let j(c) be the third derivative of c**7/7560 + c**6/1080 - c**4/8 + 6*c**2. Let f(l) be the second derivative of j(l). Factor f(v).
v*(v + 2)/3
Let i = -8912/3 + 2973. Suppose 17/3*c**3 + 4/3*c**5 + 3 - 7*c - 16/3*c**4 + i*c**2 = 0. What is c?
-1, 1, 3/2
Suppose -8 = -3*o + 7. Determine c so that 14*c - 11*c - c**2 - o*c = 0.
-2, 0
Suppose -1 = -2*k - 7. Let w = 2 - k. Factor -w*h**2 + 2*h**2 - 1 + 5*h - 2 + h.
-3*(h - 1)**2
Let r(g) = g**3 + 2*g**2 - 2*g - 4. Suppose 3*v = 3*b + 2 - 23, 2*v + b = 1. Let d be r(v). Suppose 2/15*k**3 + d + 0*k - 4/15*k**2 = 0. Calculate k.
0, 2
Let v(x) be the second derivative of x**6/120 + x**5/4 + 25*x**4/8 - 2*x**3 + 2*x. Let b(i) be the second derivative of v(i). Factor b(d).
3*(d + 5)**2
Let h(p) = -p**3 + 5*p**2 + 2*p - 7. Let z be h(5). Determine w, given that 9*w - 2*w**3 - 32*w**2 + 38*w**2 + z*w**3 = 0.
-3, 0
Let j(p) be the third derivative of -3*p**6/280 + 17*p**5/35 - 11*p**4/14 + p**2 - 435. Factor j(b).
-3*b*(b - 22)*(3*b - 2)/7
Let x be (6/4)/((-3)/(-40)). Suppose 0 = 2*d - d - 2. Suppose d*t - x*t**2 - 2*t + 19*t**2 = 0. What is t?
0
Let b be ((-144)/(-14) - 3) + -64 + 57. Solve b*k**2 - 4/7*k - 6/7 = 0.
-1, 3
Let x(u) = -3*u**2 + 6*u + 119. Let a(d) = -d**2 - 2*d + 1. Let v(g) = -a(g) - x(g). Find s such that v(s) = 0.
-5, 6
Suppose -2 = -20*v - 2. Factor -2/3*h**2 + 2/3*h**4 + v + 2/3*h**5 + 0*h - 2/3*h**3.
2*h**2*(h - 1)*(h + 1)**2/3
Let c(s) be the second derivative of -s**6/450 + s**5/150 + 8*s**3/3 + s**2/2 - s. Let q(y) be the second derivative of c(y). Factor q(k).
-4*k*(k - 1)/5
Let l(q) = -q**2 + 5*q + 15. Let m = -60 - -80. Let f(s) = -8*s**2 + 36*s + 104. Let h(x) = m*l(x) - 3*f(x). Suppose h(i) = 0. Calculate i.
-1, 3
Suppose -218 = -3*d + k, -230 - 48 = -4*d - 5*k. Factor 4*l**3 + 2*l**3 + 3*l**4 - 69*l**2 + d*l**2.
3*l**2*(l + 1)**2
Let w(j) be the first derivative of -13*j**4/8 + 41*j**3/6 