*4/36 + v**3/3 - 3*v**2/2 + 9*v. Let b(y) = 0. Calculate y.
3
Let f = 34507/90 - -6631/18. Let i = f + -747. Determine k, given that i*k**3 + 14/5*k**4 - 4/5*k + 0 + 6/5*k**2 = 0.
-1, 0, 2/7
Let x = -3366 - -1009801/300. Let r(z) be the third derivative of -2*z**2 + 0*z + 0*z**3 - x*z**5 + 0*z**4 + 0 + 1/300*z**6. Suppose r(b) = 0. What is b?
0, 1/2
Let o(b) = -3*b - 1. Let w be o(-1). Suppose w*l = 3*l. Factor 1/2*p**2 - 1/2*p + l.
p*(p - 1)/2
Let b(p) = 8*p**2 + 8*p + 4. Let i(m) = -m**4 - m**3 - 41*m**2 - 39*m - 20. Let t(j) = -22*b(j) - 4*i(j). Factor t(y).
4*(y - 2)*(y + 1)**3
Let f(q) be the first derivative of 7 - 2/21*q**3 + 2/7*q**2 + 0*q. Factor f(i).
-2*i*(i - 2)/7
Determine h so that 0*h**3 - 4/5*h**2 + 0*h + 2/5 + 2/5*h**4 = 0.
-1, 1
Let w be 16/18 - (0 + 0). Let x be 16/(-6) + (6 - 2). Suppose 0 + 2*y**3 + x*y**2 + 2/9*y + w*y**4 = 0. Calculate y.
-1, -1/4, 0
Let l be 34/10 - (-12)/20. Find i, given that -2*i**2 + 4*i + 11*i**3 + 6*i**4 + l*i**3 - 19*i**3 - 4*i**2 = 0.
-1, 0, 2/3, 1
Let c = -36/7 + 165/28. Suppose 10*o = 3*g + 5*o - 26, -3*g - 2 = 2*o. Find y such that -3/4*y**g + c*y + 1/4*y**3 - 1/4 = 0.
1
Let x(n) be the third derivative of -1/630*n**7 - n**2 + 1/360*n**6 + 0*n - 1/2016*n**8 + 1/18*n**3 + 0 + 7/144*n**4 + 1/45*n**5. Factor x(u).
-(u - 2)*(u + 1)**4/6
Factor -3/2*r**2 - 1 + 1/4*r**3 + 9/4*r.
(r - 4)*(r - 1)**2/4
Let p(l) be the second derivative of 7*l**8/960 + l**7/120 - l**6/30 + l**5/30 - 2*l**4/3 + 8*l. Let u(f) be the third derivative of p(f). Factor u(c).
(c + 1)*(7*c - 2)**2
Let p = 11 - 3. Let n be (-22)/p + (-2 - -5). What is m in n*m**3 + 0 - 1/4*m + 0*m**2 = 0?
-1, 0, 1
Let q = 900 + -80999/90. Let z(i) be the third derivative of q*i**5 - 2*i**2 + 0 + 0*i + 1/9*i**4 + 4/9*i**3. Find d such that z(d) = 0.
-2
Let t = -565 + 2828/5. Factor -2/5 + 0*g**2 + t*g - 1/5*g**3.
-(g - 1)**2*(g + 2)/5
Let r(y) = -y**2 + 7*y + 34. Let h be r(10). Let q(j) be the first derivative of h + 1/20*j**4 + 3/10*j**2 + 1/5*j**3 + 1/5*j. Solve q(v) = 0.
-1
What is d in 1/3 - 1/6*d**2 + 1/6*d = 0?
-1, 2
Let y(r) be the second derivative of 1/4*r**2 + 1/8*r**4 + 0 - 1/3*r**3 + 3*r. Let y(k) = 0. Calculate k.
1/3, 1
Let l(b) be the first derivative of -2/9*b**3 - 2 - 2/3*b + 2/3*b**2. Suppose l(f) = 0. Calculate f.
1
Suppose -54*q = -52*q. Let g(f) be the third derivative of -4*f**2 - 1/36*f**4 + 0*f + 0*f**3 + 1/180*f**6 + q + 0*f**5. Find t such that g(t) = 0.
-1, 0, 1
Let y be 1*-12*2/(-6). Let z = 6 - y. Suppose -5*c**2 + 4*c**z - 1 - 2*c + 4*c = 0. Calculate c.
1
Let d(h) = 2*h**2 + 3*h. Let c(v) = -5*v**2 - 7*v. Let j(k) = -3*c(k) - 7*d(k). Determine q, given that j(q) = 0.
0
Let x(m) = 5*m**5 - 5*m**4 - 15*m**3. Let s(w) = 5*w**5 - 5*w**4 - 14*w**3. Let p(h) = -5*s(h) + 4*x(h). Factor p(z).
-5*z**3*(z - 2)*(z + 1)
Let s(j) be the third derivative of 0 - 1/360*j**6 + 0*j**5 + 3*j**2 + 0*j**3 + 0*j**4 + 0*j - 1/630*j**7. Factor s(w).
-w**3*(w + 1)/3
Suppose -3*g + g - 2*g = 0. Determine i, given that -4/11*i**3 + 4/11*i + g - 2/11*i**4 + 2/11*i**2 = 0.
-2, -1, 0, 1
Let z(p) be the first derivative of 8*p**3/3 - 3*p**2 - 1. Let t(c) = -17*c**2 + 13*c - 1. Let q(d) = 2*t(d) + 5*z(d). Factor q(i).
2*(i - 1)*(3*i + 1)
Let c(x) = -x**4 + x**3 - x. Let m(u) = 2*u**5 + 4*u**4 + 14*u**3 + 4*u**2 - 4*u. Let j(k) = -4*c(k) + m(k). Let j(z) = 0. Calculate z.
-2, -1, 0
Determine z, given that -1/3 - 5/3*z**2 + 2*z = 0.
1/5, 1
Let y(f) be the first derivative of 21*f**4/4 + 9*f**3 + 3*f**2 + 2. Suppose y(i) = 0. Calculate i.
-1, -2/7, 0
Let -3*q + 0 - 22/3*q**3 + 25/2*q**2 + 7/6*q**4 = 0. Calculate q.
0, 2/7, 3
Let b(q) be the second derivative of q**8/10920 + q**7/5460 - q**6/2340 - q**5/780 + q**3 - 4*q. Let t(i) be the second derivative of b(i). Factor t(f).
2*f*(f - 1)*(f + 1)**2/13
Let p be ((-1)/(-3))/((-1)/(-9)). Suppose -1 - 3*m + 2*m + 41*m**p - 40*m**3 + m**2 = 0. Calculate m.
-1, 1
Let f(b) be the third derivative of b**5/210 + b**4/84 - 2*b**3/21 - 29*b**2. Factor f(t).
2*(t - 1)*(t + 2)/7
Factor 1 + 3 - 2*t - 4 - 4*t**2.
-2*t*(2*t + 1)
Let k(g) be the first derivative of -g**5/240 + g**4/48 - g**3/24 + 5*g**2/2 - 5. Let z(n) be the second derivative of k(n). Determine a so that z(a) = 0.
1
Let d(j) be the third derivative of -j**7/60 - j**6/120 + 7*j**5/120 + j**4/24 - 8*j**2. Find o, given that d(o) = 0.
-1, -2/7, 0, 1
Let y be 2/(-4) - 14/(-12). Let v be ((-2)/4)/(27/(-36)). Factor y*c**3 - 4/3*c**2 + v*c**4 + 0*c + 0.
2*c**2*(c - 1)*(c + 2)/3
Let c(w) = -w**2 + 9*w - 5. Let j be c(8). Factor h**4 + 3*h**2 - h**5 - 5*h**2 + h**4 + 4*h - j*h.
-h*(h - 1)**3*(h + 1)
Suppose -2*g - g = 15. Let y = g + 15. Factor -h**5 - 4*h**4 - 5*h - 5*h**4 - 1 - y*h**3 - 10*h**2 + 4*h**4.
-(h + 1)**5
Let p(z) be the second derivative of 0 + 0*z**3 + 1/40*z**5 + 0*z**2 + 1/24*z**4 - 7*z. Factor p(d).
d**2*(d + 1)/2
Let f = 26 + -14. Let v be (f/9)/(10/3). Suppose -2/5*t**5 + 0 + 0*t**2 + 4/5*t**4 - v*t**3 + 0*t = 0. What is t?
0, 1
Let m(f) be the first derivative of -f**9/16632 + f**8/9240 + f**7/2310 - f**3 - 3. Let i(w) be the third derivative of m(w). Let i(n) = 0. What is n?
-1, 0, 2
Suppose -28 = 5*j - 128. Suppose -j = -0*s - 5*s - b, -2*s = -3*b + 9. Factor -s + 7*q - 3*q + 1 - 2*q**2.
-2*(q - 1)**2
Suppose 5*x = 10*x - 20. Factor 0 - 4/5*z**2 - 2/5*z**3 + 0*z + 6/5*z**x.
2*z**2*(z - 1)*(3*z + 2)/5
Let a(p) be the second derivative of 0*p**2 - 3/20*p**5 + p + 0 + 1/2*p**4 - 1/2*p**3. Determine q so that a(q) = 0.
0, 1
Suppose -3*p + 0*p = -6. Let r(h) be the third derivative of -1/60*h**5 + 0 + 0*h - p*h**2 + 0*h**4 + 1/6*h**3. Factor r(b).
-(b - 1)*(b + 1)
Let g(s) be the first derivative of 2*s**5/85 - 6*s**4/17 + 24*s**3/17 - 34. Solve g(r) = 0 for r.
0, 6
Suppose -1/7*m**4 + 2/7*m**2 + 1/7*m**5 - 2/7*m**3 + 1/7*m - 1/7 = 0. What is m?
-1, 1
Let y(j) be the first derivative of 18*j**5/5 - 27*j**4/4 + 5*j**3 - 3*j**2 + 15*j + 5. Let m(k) = -k**4 + k**3 - 1. Let c(w) = 15*m(w) + y(w). Factor c(q).
3*q*(q - 2)*(q - 1)**2
Let q(t) be the third derivative of -t**8/168 + 2*t**7/35 - 13*t**6/60 + 2*t**5/5 - t**4/3 + 19*t**2. Find s such that q(s) = 0.
0, 1, 2
Suppose 5*l - 12 = 3. Let m be (-4)/2 - (0 + -2). Factor -g - g**4 + 0*g - 3*g**3 + m*g**4 - l*g**2.
-g*(g + 1)**3
Let u(a) = 7*a**3 - 5*a**2 - 3*a - 3. Let c(r) = -6*r**3 + 5*r**2 + 4*r + 4. Let z(v) = 3*c(v) + 4*u(v). Solve z(j) = 0 for j.
0, 1/2
Suppose 4*n - 22 = 2*u - 10, -5*n + 18 = -u. Suppose 0*h - 4 = -h. Determine r so that r**3 + 0*r**2 + r**u + 0*r - r**h - r = 0.
-1, 0, 1
Let h = 8 - 5. Solve -9*s**2 - 2 - 9*s**4 + 28*s**h - 7*s**4 + 13*s - 68*s**3 = 0.
-2, -1, 1/4
Suppose -2*d - 8 = 4*w, 2*d = 5*d + 5*w + 9. Factor 27/4*n**d + 3/2*n + 0.
3*n*(9*n + 2)/4
Let u(h) = 5*h**2 - h**3 - h**2 + h**2 + 6*h. Let w be u(6). Factor 0 + 2/7*m**5 + 0*m**4 + w*m + 0*m**2 + 0*m**3.
2*m**5/7
Let v be (1 + -1)/((-12)/6). Let 3*z**3 - 4*z**4 + 3*z**4 + v*z**4 - 2*z**4 = 0. What is z?
0, 1
Let g(m) be the third derivative of -2/105*m**7 - 5/24*m**4 + 0*m + 1/30*m**5 + 1/3*m**3 + 1/336*m**8 + 1/30*m**6 - 5*m**2 + 0. Factor g(a).
(a - 2)*(a - 1)**3*(a + 1)
Suppose -2*z + 13 = -x, z - 10 = -z. Let j(h) = h**3 + h**2 + 1. Let v be (5/(-15))/(3/9). Let o(w) = -w**3 - w**2 - 3. Let s(u) = v*o(u) + x*j(u). Factor s(p).
-2*p**2*(p + 1)
Let -4/3*i**2 - 8/3*i - 2/9*i**3 - 16/9 = 0. Calculate i.
-2
Let c = -1/172 + 1727/1204. Determine b so that c*b**2 + 4/7*b + 0 = 0.
-2/5, 0
Suppose 2*m = 4*i - 14, -4*m + 12 + 10 = 2*i. Let g(r) be the first derivative of 0*r**4 + 0*r**2 + 2/5*r**5 + 0*r**m + 0*r + 1/3*r**6 + 1. Factor g(f).
2*f**4*(f + 1)
Let w(l) be the second derivative of -l**6/40 + l**5/10 + l**4/8 - l**3 + 3*l**2 - 3*l. Let m(p) be the first derivative of w(p). Factor m(a).
-3*(a - 2)*(a - 1)*(a + 1)
Let x(d) be the first derivative of d**4/8 - d**3/3 - d**2/4 + d + 15. Factor x(g).
(g - 2)*(g - 1)*(g + 1)/2
Suppose -c + 1 = -1. Factor 0*l**c - 3*l**2 + 0*l**2 + 70*l - 76*l.
-3*l*(l + 2)
Suppose -x + 28 = -2*x - 2*u, 3*x = u - 56. Let y = 23 + x. What is v in 3/4*v**4 + 1/4*v**2 + 0 + 1/4*v**5 + 0*v + 3/4*v**y = 0?
-1, 0
Let t be 98/(-42) - 10/(-2). Factor t + 0*b - 2/3*b**2.
-2*(b - 2)*(b + 2)/3
Let o = 50 + -148/3. Determine n so that 0 - 2/9*n**5 - o*n**3 + 0*n - 2/9*n**2 - 2/3*n**