*3 - 1/3*x**g - 2/3*x.
-(x - 1)**3*(x + 1)/3
Let l be 2*(-7 - -6) + (4 - 1). Suppose 9/2*q**2 - l + 5/2*q**3 - 7/2*q**4 - 5/2*q = 0. What is q?
-1, -2/7, 1
Let s(b) be the third derivative of -b**8/840 - 2*b**7/175 - 3*b**6/100 - 2*b**5/75 + 35*b**2. Let s(r) = 0. What is r?
-4, -1, 0
Factor 0 + 0 - 1 + p**2.
(p - 1)*(p + 1)
Solve -1/3*n + 1/3*n**3 - 2/3 + 2/3*n**2 = 0.
-2, -1, 1
Let u(f) be the first derivative of -f**4/12 - f**3/6 + f - 3. Let x(l) be the first derivative of u(l). Determine n so that x(n) = 0.
-1, 0
Let o(v) = 8*v**5 + 3*v**4 - 4*v**3 + 8*v**2 + 7. Let l(d) = -d**5 + d**3 - d**2 - 1. Let u(s) = 21*l(s) + 3*o(s). Let u(n) = 0. Calculate n.
-1, 0
Let v be (0 - 1)*(-5)/25. Solve v*d - 1/5*d**3 - 1/5*d**4 + 0 + 1/5*d**2 = 0 for d.
-1, 0, 1
Suppose 4*l - 3*l = -6. Let i be (-28)/(-42)*(-2)/l. Factor 2/9*z**2 - i*z**3 + 2/9*z - 2/9*z**4 + 0.
-2*z*(z - 1)*(z + 1)**2/9
Let u(n) be the first derivative of 10*n**6/3 - 28*n**5/5 - 43*n**4 - 148*n**3/3 + 4*n**2 + 32*n + 28. Suppose u(k) = 0. Calculate k.
-1, 2/5, 4
Let a = 102404/455 - -340/91. Let q = -228 + a. Factor 0 - q*s**3 - 2/5*s**4 + 0*s**2 + 0*s.
-2*s**3*(s + 2)/5
Let p = 19 + -16. Find s, given that 2*s**3 - s**4 - 5*s**4 + 0*s**3 + 2*s**p + 2*s**5 = 0.
0, 1, 2
Let k be (-4)/(-14) + (-58)/7. Let n be (-4)/40*k*1. Factor 2/5*d**2 + 2/5 - n*d.
2*(d - 1)**2/5
Let a(j) be the first derivative of -j**9/7560 - j**8/2100 - j**7/2100 - j**3/3 - 1. Let v(g) be the third derivative of a(g). Factor v(u).
-2*u**3*(u + 1)**2/5
Let x be (-2)/((-3)/(-9)*-2). What is z in 22*z + 7*z**3 + 24*z**2 + 8*z**2 + 5*z**3 + 4 + 2*z**x = 0?
-1, -2/7
Suppose -8*h + 4*h = -20. Factor -h*q + 5*q + 5*q**3 - 2*q - 2 + 2*q**2 - 3*q**3.
2*(q - 1)*(q + 1)**2
What is v in -3*v**2 + 2*v**2 + 3*v**2 - 2*v = 0?
0, 1
Let f(k) be the third derivative of 4*k**2 + 0*k - 1/20*k**5 + 1/40*k**6 + 0 + 0*k**4 + 0*k**3. Factor f(z).
3*z**2*(z - 1)
Let y(m) be the third derivative of 0*m + 3*m**2 - 1/12*m**4 + 0 + 1/90*m**5 + 2/9*m**3. Let y(l) = 0. Calculate l.
1, 2
Suppose 3*s = 14 + 1. Let t(p) be the third derivative of 1/90*p**s - 4/27*p**3 + 2*p**2 + 2/27*p**4 - 1/60*p**6 + 0*p + 0. Determine c, given that t(c) = 0.
-1, 2/3
Let g(a) be the first derivative of 3*a**4/4 - 3*a**2/2 - 9. Solve g(n) = 0 for n.
-1, 0, 1
Factor -13*t - 29*t - 59*t**2 - 58*t + 500 + 64*t**2.
5*(t - 10)**2
Let v(f) = -f**3 + 6*f**2 - 4*f - 3. Let w be v(5). Let k(g) be the first derivative of -1 + 1/3*g**3 + 1/6*g**w - 2/3*g. Factor k(y).
(y + 1)*(3*y - 2)/3
Let 144*u**3 + 7*u - 145*u**3 - 3*u**2 - 3*u = 0. Calculate u.
-4, 0, 1
Let c(q) be the second derivative of 0 - 4*q + 75/2*q**3 + 11*q**4 + 27*q**2 + 21/20*q**5. What is i in c(i) = 0?
-3, -2/7
Suppose 8 - 4 = 2*x. Suppose -7 = -3*l + x. Suppose 0 - 1/2*c**5 - 1/2*c + 2*c**2 + 2*c**4 - l*c**3 = 0. What is c?
0, 1
Let z(o) be the third derivative of o**8/112 - 2*o**7/105 - o**6/72 + o**5/15 - o**4/18 - 15*o**2. Let z(u) = 0. What is u?
-1, 0, 2/3, 1
Find a, given that -2/3*a**3 + 0*a**2 + 0 + 8/3*a = 0.
-2, 0, 2
Suppose -2*o - 1 = 5. Let w be 0*(o - (-5)/2). Factor w*k**3 + 1 + 7*k**3 + 3*k - 6*k**3 + 3*k**2.
(k + 1)**3
Let f = 113 + -109. Factor 0*n**2 + 0 + 0*n + 4*n**f + 6*n**5 + 2/3*n**3.
2*n**3*(3*n + 1)**2/3
Factor -3/7 - 3/7*u**2 - 6/7*u.
-3*(u + 1)**2/7
Let r(d) = -d + 13. Let n be r(11). Factor 42*j**4 + 26*j + 4 + 46*j**3 - 4*j**2 + 58*j**n - 28*j**4.
2*(j + 1)**3*(7*j + 2)
Let r be (-2)/3*3/19. Let d = 53/38 - r. Factor 3/2*j**2 - d*j**3 + 0 + 3*j.
-3*j*(j - 2)*(j + 1)/2
Let d(x) = 20*x**2 + x - 1. Let n be d(1). Suppose -2*j - n = -5*s, 5*s - 20 = 6*j - 2*j. Suppose 0 - w**3 - 1/2*w**4 + j*w - 1/2*w**2 = 0. Calculate w.
-1, 0
Let j(a) = a**3 + 5*a**2 + 2*a - 6. Let i be j(-4). Let f be 1/(-4) - (-2)/8. Factor -2/3*r + f + 1/3*r**3 + 1/3*r**i.
r*(r - 1)*(r + 2)/3
Let h be 2*1/1 - 5. Let q(a) = 4*a**3 + 0 + 3 - 3*a**2 + 4*a**2. Let j(k) = 3*k**3 + k**2 + 2. Let v(c) = h*j(c) + 2*q(c). Factor v(i).
-i**2*(i + 1)
Let s(k) be the third derivative of -k**7/105 - 7*k**6/240 - k**5/60 + k**4/48 + 14*k**2. Suppose s(y) = 0. Calculate y.
-1, 0, 1/4
Suppose 4*h + 4*l - 43 = -h, 4*h + 5*l = 38. Find j, given that -15*j**3 + 12*j**3 + 16*j - h*j**3 - 14*j**2 + 8 = 0.
-2, -2/5, 1
Let f(j) be the third derivative of -j**6/120 - j**5/180 - 9*j**2. Solve f(l) = 0.
-1/3, 0
Let b(t) be the third derivative of t**6/120 - t**4/24 - 9*t**2. Factor b(h).
h*(h - 1)*(h + 1)
Let f = 11169/380 - 156/95. Let x = -531/20 + f. Suppose x*h**2 - 2/5*h + 0 = 0. Calculate h.
0, 1/3
Suppose -4 = -z, 2*c - 2*z = 3*z - 12. Determine i so that 8*i**3 - 14/3*i**c + 0 - 2*i**2 - 4/3*i = 0.
-2/7, 0, 1
Let b = 442 - 13259/30. Let j(r) be the second derivative of -b*r**6 + 0*r**2 - 1/6*r**3 - 2*r + 1/20*r**5 + 0 + 1/12*r**4. Let j(z) = 0. Calculate z.
-1, 0, 1
Determine f so that -4/5*f**3 + 2/5 - 2/5*f**2 + 4/5*f = 0.
-1, -1/2, 1
Let o(p) = 2*p + 7. Let k be o(-8). Let v(a) = -a - 7. Let t be v(k). Find h, given that -32/11*h**3 - 18/11*h + 2/11 + 48/11*h**t = 0.
1/4, 1
Let w(t) = -t**3 - t**2 - t + 1. Let o(l) = 7 + 4*l**2 - 7*l - 13*l**2 + l - 6*l**3. Let k(g) = -2*o(g) + 14*w(g). Suppose k(z) = 0. Calculate z.
0, 1
Let r(z) = 3*z**2 - 4*z - 12. Let n be r(3). Factor -3/2*d**4 + 3/2*d + 3/2*d**5 + n*d**2 - 3*d**3 - 3/2.
3*(d - 1)**3*(d + 1)**2/2
Let u = -89 - -91. Let f(k) be the first derivative of -1/15*k**3 - 4/5*k - u + 2/5*k**2. Suppose f(j) = 0. What is j?
2
Let x(j) be the second derivative of j**7/3360 + j**6/480 + j**5/240 - 2*j**3/3 - 2*j. Let w(p) be the second derivative of x(p). Let w(r) = 0. What is r?
-2, -1, 0
Let v(n) be the third derivative of -n**6/360 - n**5/45 - n**4/24 + 23*n**2. What is s in v(s) = 0?
-3, -1, 0
Let y = 1 + -2. Suppose -2*k = 10, -4*c - 5*k - 10 = c. Let p(l) = -l**2 - 4*l + 2. Let i(b) = -b. Let s(o) = c*i(o) + y*p(o). Factor s(d).
(d - 1)*(d + 2)
Suppose -4*z + 2*z = -546. Let m = z + -1087/4. Let 11/4*j**2 - j**3 - m*j - 1/2 = 0. Calculate j.
-1/4, 1, 2
Find i such that -2*i**5 + 12 - i**2 - 3*i**2 - 12 + 2*i + 4*i**4 = 0.
-1, 0, 1
Let q(x) be the first derivative of -x**4/34 - 2*x**3/17 - 3*x**2/17 - 2*x/17 - 2. Factor q(g).
-2*(g + 1)**3/17
Solve 0 - 10/11*z**2 - 2/11*z**4 - 8/11*z**3 - 4/11*z = 0.
-2, -1, 0
Let u(o) be the third derivative of o**7/35 + o**6/15 - o**5/30 - o**4/6 - 7*o**2. Find w, given that u(w) = 0.
-1, 0, 2/3
Let s(o) be the first derivative of 0*o - 2/35*o**5 - 1/7*o**4 + 0*o**2 - 2/21*o**3 + 3. Factor s(v).
-2*v**2*(v + 1)**2/7
Let s(z) = -53*z**3 + 367*z**2 - 196*z + 24. Let f(r) = 52*r**3 - 368*r**2 + 197*r - 25. Let y(m) = -4*f(m) - 3*s(m). Determine u so that y(u) = 0.
2/7, 7
Let h be (-7)/130 - (-16)/104. Let m(l) be the first derivative of 2 + 1/8*l**2 + 1/6*l**3 - 1/24*l**6 - h*l**5 + 0*l + 0*l**4. Factor m(s).
-s*(s - 1)*(s + 1)**3/4
Let u(t) be the third derivative of t**6/20 - t**5/20 + 3*t**2. Factor u(j).
3*j**2*(2*j - 1)
Let d(k) be the third derivative of -k**8/1512 + k**7/315 - k**6/270 - k**5/135 + k**4/36 - k**3/27 + 3*k**2. Determine p so that d(p) = 0.
-1, 1
Let o be (1 - (-12)/(-8))*0. Let q(c) be the first derivative of 2 + 1/2*c**4 + 2/5*c**5 + 0*c**3 + o*c + 0*c**2. Factor q(r).
2*r**3*(r + 1)
Suppose 4*v + 2*t - 18 = 0, -4*v + t + 9 + 0 = 0. Let d(q) be the second derivative of 1/2*q**2 + q + 1/3*q**v + 1/12*q**4 + 0. Factor d(y).
(y + 1)**2
Factor -1 - x**2 - 5*x**2 - 4*x + 1.
-2*x*(3*x + 2)
Let b(t) = -6*t**3 + 5*t**2 - 2*t + 7. Let p(x) = 7*x**3 - 6*x**2 + 3*x - 8. Let s(r) = 6*b(r) + 5*p(r). Factor s(j).
-(j - 2)*(j + 1)**2
Determine t, given that 242/9*t**4 - 104/9*t + 142/3*t**2 + 8/9 - 572/9*t**3 = 0.
2/11, 1
Suppose 3*o + 57 = 12. Let x be ((-24)/o)/(6/15). Factor 0*t**3 + 0 + 0*t - 2/3*t**2 + 2/3*t**x.
2*t**2*(t - 1)*(t + 1)/3
Let i(u) = u + 12. Let w be i(9). Let y(d) = -36*d**2 + 30*d + 6. Let m(p) = -7*p**2 + 6*p + 1. Let f(h) = w*m(h) - 4*y(h). Factor f(a).
-3*(a - 1)**2
Let u(b) = -13*b - 2. Suppose 0 = 3*o - 2 + 8. Let m be u(o). Suppose -4*q**4 + 6*q**4 + 22*q**2 + 1 + 7*q**4 + m*q**3 + 8*q = 0. Calculate q.
-1, -1/3
Let m(a) be the second derivative of a**6/6 - a**5/2 + 5*a**4/12 - 13*a - 2. Solve m(k) = 0 for k.
0, 1
Solve 5/2*u**2 + 3/2*u**5 - 5/2*u**4 - 1/2*u**3 + 0 - u = 0 for u.
-1, 0, 2/3, 1
Determine