+ 1)**5/3
Factor 1/6*n**2 - 1/2*n + 1/3.
(n - 2)*(n - 1)/6
Suppose -7*j - 1 = -6*j. Let h be (j/2)/(3/(-18)). Let -2*z**2 + z**3 - z - h + 0*z**2 + 3 + 2*z**4 = 0. Calculate z.
-1, -1/2, 0, 1
Suppose 0 = -4*l + 2*l - 3*h + 1, 4*l - 2*h = 10. Suppose -6*k + 2 - l*k**3 - 15/2*k**2 = 0. Calculate k.
-2, 1/4
Let k(o) = -o - 7. Let r be k(-9). Find q, given that -9*q + 19*q + r*q**3 + 2*q**2 - 6*q - 4*q**3 = 0.
-1, 0, 2
Let s(p) be the first derivative of -2*p**2 + 0*p**3 + 1/80*p**6 + 2 + 0*p**4 + 1/40*p**5 + 0*p. Let x(q) be the second derivative of s(q). Factor x(h).
3*h**2*(h + 1)/2
Let h(a) be the first derivative of -4*a**5/5 + 16*a**3/3 + 37. Factor h(s).
-4*s**2*(s - 2)*(s + 2)
Let g be ((-24)/18)/((-4)/6). Let o(l) be the third derivative of 0*l - 3/40*l**5 + 0 + 1/8*l**4 - 1/12*l**3 - l**g. What is c in o(c) = 0?
1/3
Let i(w) = 3*w**3 - 9*w**2 - 2*w - 5. Let m = 3 + -6. Let x(f) = 2*f**3 - 5*f**2 - f - 3. Let s(k) = m*i(k) + 5*x(k). Factor s(b).
b*(b + 1)**2
Let n be (-4)/(-3)*((-4)/(-16) + 2). Let b(q) be the first derivative of 2/11*q**2 + 3 - 2/11*q - 2/33*q**n. Suppose b(t) = 0. Calculate t.
1
Suppose 4*k + 3 - 19 = 0. Let h be 1*(90/21 - k). Let -h*r**2 + 6/7*r - 4/7 = 0. What is r?
1, 2
Let z = 137 - 67. Find o, given that 3*o - 7*o**5 + o - z*o**4 + 32*o**5 - 28*o**2 + 69*o**3 = 0.
0, 2/5, 1
Let d be (-6)/8 - (-5)/(-20). Let v be (d/3)/((-1)/2). Factor 1/3 - f + v*f**2.
(f - 1)*(2*f - 1)/3
Factor 32/3*a**5 + 8/3*a + 0 + 24*a**2 + 194/3*a**3 + 48*a**4.
2*a*(a + 2)**2*(4*a + 1)**2/3
Let w(t) = -t**4 + 2*t**3 + 7*t**2 + 8*t + 8. Let l(d) = -2*d**4 + 3*d**3 + 13*d**2 + 16*d + 15. Let p(n) = 4*l(n) - 7*w(n). Suppose p(i) = 0. Calculate i.
-2, -1, 2
Let y(g) = 12*g**3 - 298*g**2 - 276*g. Let f(s) = -s**3 + 27*s**2 + 25*s. Let l(q) = 68*f(q) + 6*y(q). Determine x, given that l(x) = 0.
-11, -1, 0
Let s be (-12)/12 - (0 - 3). Factor -6*v**3 + 0*v + v - s*v**2 + 7*v**3.
v*(v - 1)**2
Factor -3/5*z**2 - 147/5 + 42/5*z.
-3*(z - 7)**2/5
Factor 5*b**5 - 15*b**4 + 4*b**3 - b**3 + 7*b**3 - 10*b - 5*b**3 + 15*b**2.
5*b*(b - 2)*(b - 1)**2*(b + 1)
Let m(h) = -h**3 + 12*h**2 - 17*h - 18. Let f be m(10). Suppose 37/2*b**3 + f*b**2 + 2*b + 2*b**5 + 21/2*b**4 + 0 = 0. Calculate b.
-2, -1, -1/4, 0
Let y be 14/(-4)*(-3 - (-707)/245). Factor 2/15*q**2 + y*q + 4/15.
2*(q + 1)*(q + 2)/15
Let g(j) be the first derivative of -1/18*j**4 - 4 + 0*j - 4/27*j**3 + 1/3*j**2. What is w in g(w) = 0?
-3, 0, 1
Let d(r) = r**4 - 5*r**3 - 9*r**2 + 3. Let f(l) = -8*l**4 + 44*l**3 + 80*l**2 - 28. Let h(v) = 28*d(v) + 3*f(v). Determine i so that h(i) = 0.
-1, 0, 3
Let y = -31 + 32. Let f(n) be the first derivative of 0*n**2 + n - 1/3*n**3 - y. Factor f(u).
-(u - 1)*(u + 1)
Suppose -32/5*i**2 + 0 + 0*i - 184/5*i**4 - 44/5*i**5 - 208/5*i**3 = 0. Calculate i.
-2, -2/11, 0
Let i(a) be the first derivative of 1/3*a**3 + 1/4*a**4 + 0*a - 3 - 1/5*a**5 - 1/2*a**2. Factor i(r).
-r*(r - 1)**2*(r + 1)
Suppose -7*m - 25 = -12*m. Suppose 5*b - 5 = m. Let 0*z - 7/2*z**3 + 0 + z**b = 0. Calculate z.
0, 2/7
Let g(w) = 4*w**4 + w**3 + 2*w**2 + 17*w - 14. Let c(t) = 3*t**4 + 2*t**2 + 16*t - 13. Let a(l) = -5*c(l) + 4*g(l). Find k, given that a(k) = 0.
-3, 1
Let f(n) be the third derivative of -n**5/20 - n**4/4 - n**3/2 - 9*n**2. Factor f(w).
-3*(w + 1)**2
Let a be (1 - 1)*2/4. Solve -2*k**2 - 3*k**4 + a*k**4 - 3*k**4 + 8*k**3 = 0.
0, 1/3, 1
Let i(d) be the first derivative of 1/6*d + 1/24*d**4 - 1/18*d**3 - 6 - 1/12*d**2. Let i(n) = 0. Calculate n.
-1, 1
Let a(c) be the first derivative of -c**6/450 + 2*c**3/3 - 2. Let w(i) be the third derivative of a(i). Factor w(o).
-4*o**2/5
Let f = 1485 - 10377/7. Factor -f + 12/7*x - 2/7*x**2.
-2*(x - 3)**2/7
Let w = 12 - 10. Let -1 + 10*g + g**2 - 15*g**2 - 12*g**2 + g**w = 0. Calculate g.
1/5
Let f(o) be the second derivative of -1/2*o**5 - 1/15*o**6 - 4/3*o**3 + 0 - 4/3*o**4 - 4*o + 0*o**2. Find n such that f(n) = 0.
-2, -1, 0
Let z(v) be the second derivative of -v**5/20 + v**4/6 + 5*v. Determine q so that z(q) = 0.
0, 2
Let y(w) = 12*w**2 - 8*w - 8. Let x(b) be the third derivative of b**5/60 + 4*b**2. Let v(a) = -28*x(a) + 2*y(a). Determine h, given that v(h) = 0.
-2
Suppose -i = -3*j + 4*j - 9, -5*i + 42 = 2*j. Let a be (i + 0)/(3/1). Factor -20/3*c - 1/3*c**4 - 6*c**2 - 7/3*c**3 - a.
-(c + 1)*(c + 2)**3/3
Let y(t) = -71*t - 424. Let q be y(-6). Factor i**4 + 9/2*i**q + 1/2 - 7/2*i**3 - 5/2*i.
(i - 1)**3*(2*i - 1)/2
Let h be (64/21)/(2/3). Suppose h*d**5 - 152/7*d**2 - 4/7 + 6*d + 226/7*d**3 - 144/7*d**4 = 0. Calculate d.
1/4, 1, 2
Let v = 419/5 + -83. Suppose 3*y - 6 = y. Factor -4/5*n**2 - 1/5*n**4 + 0*n - v*n**y + 0.
-n**2*(n + 2)**2/5
Suppose -2*i + 16 = -3*j, -6*i + i = -5*j - 30. Let q(s) be the first derivative of -i + 0*s - 1/3*s**3 + 0*s**2 - 1/4*s**4. Find z, given that q(z) = 0.
-1, 0
Let t(z) be the first derivative of -z**6/120 - z**5/24 + z**4/12 - 2*z**3/3 - 1. Let w(u) be the third derivative of t(u). Factor w(l).
-(l + 2)*(3*l - 1)
What is d in -1/2*d**3 + 1/2*d - 1/2 + 1/2*d**2 = 0?
-1, 1
Let r(h) be the third derivative of -h**8/336 + h**7/210 + h**6/60 + h**2. Factor r(j).
-j**3*(j - 2)*(j + 1)
Let v(b) = -7*b**2 + 7*b + 6. Let t(l) = l**2 - l - 1. Let z(o) = 40*t(o) + 5*v(o). Factor z(w).
5*(w - 2)*(w + 1)
Let q(r) be the second derivative of 0 + 0*r**2 - 1/21*r**3 - 2*r - 3/70*r**5 + 1/105*r**6 + 1/14*r**4. Suppose q(h) = 0. Calculate h.
0, 1
Let y = 228 + -1132/5. Factor 8/5 + 2/5*z**2 - y*z.
2*(z - 2)**2/5
Let w(r) be the first derivative of 4*r**3/3 + 8*r**2 + 12*r - 54. Factor w(b).
4*(b + 1)*(b + 3)
Suppose 9/2*j**2 - 3/4*j**3 - 15/4*j + 0 = 0. What is j?
0, 1, 5
Let f(v) be the third derivative of -121*v**6/120 + 143*v**5/60 - 23*v**4/24 + v**3/6 - 18*v**2 - 1. Solve f(g) = 0.
1/11, 1
Let a = 17 + 18. Let b be 115/a - 4/14. Find m such that -2/7*m**2 - 2/7*m**4 + 4/7*m**b + 0*m + 0 = 0.
0, 1
Find s, given that 0 + 1/2*s - 7/2*s**2 + 11/2*s**3 - 5/2*s**4 = 0.
0, 1/5, 1
Let f be (6/12 + 0)/(2/12). Factor 0*s**2 + 0 + 0*s - 2/7*s**f + 4/7*s**4 - 2/7*s**5.
-2*s**3*(s - 1)**2/7
Let c(x) be the second derivative of 0 + 0*x**4 + 0*x**2 - 1/10*x**5 + 3*x + 1/3*x**3. Factor c(k).
-2*k*(k - 1)*(k + 1)
Factor 1/3*a**2 + 0 + 0*a + 1/3*a**4 - 2/3*a**3.
a**2*(a - 1)**2/3
Let y(g) be the third derivative of -g**6/150 + 2*g**4/15 - 23*g**2. What is n in y(n) = 0?
-2, 0, 2
Let r(g) = -4*g**3 + 2*g**2 + 8*g - 6. Let i(w) = 15*w - 31*w + w**2 + 23*w - 5 - 3*w**3. Let k(a) = -6*i(a) + 5*r(a). Let k(b) = 0. Calculate b.
0, 1
Suppose 2*m + 0 = -4*z - 12, 11 = 4*m + z. Solve 2/9*g**m + 0 + 0*g - 2/9*g**2 + 2/9*g**5 - 2/9*g**3 = 0.
-1, 0, 1
Let f(i) be the third derivative of i**6/120 - i**5/20 + i**4/12 - 9*i**2. Factor f(w).
w*(w - 2)*(w - 1)
Let f(m) be the third derivative of -m**8/3920 - m**7/490 - m**6/210 + 7*m**3/6 + 2*m**2. Let d(l) be the first derivative of f(l). Factor d(t).
-3*t**2*(t + 2)**2/7
Suppose -4*b = -2*a - 2, 0*b + 30 = 5*b + 3*a. Factor 4/3*u**b + 2/3 + 14/3*u**2 + 7/3*u**5 - 16/3*u**4 - 11/3*u.
(u - 1)**3*(u + 1)*(7*u - 2)/3
Let t(g) = -12*g**3 - 28*g**2 - 16*g. Let o(f) = -4*f**3 - 9*f**2 - 5*f. Let r(n) = -16*o(n) + 5*t(n). Factor r(y).
4*y**2*(y + 1)
Let v(h) = 4*h**2 + 11*h - 26. Let n(d) = -d**2 - 2*d + 5. Let f(j) = 11*n(j) + 2*v(j). Let f(g) = 0. Calculate g.
-1, 1
Solve 3*x**3 + 243*x**2 - 4*x**4 - 3*x**3 - 239*x**2 = 0 for x.
-1, 0, 1
Let i(c) = -c**3 - 6*c**2 + 3*c + 5. Let x be i(-7). Let g = x + -97/3. Determine n, given that 0*n**2 + 0 - 2/3*n**3 + g*n = 0.
-1, 0, 1
Suppose 0 = 2*y + 2*y - 20. Let 5*d**2 - d - d**4 - d**4 - 3*d**2 + d**y + 0*d**2 = 0. What is d?
-1, 0, 1
Let a(h) = -h**2 - 6*h + 3. Let x be a(-3). Suppose -v + 4*v - x = 0. Factor 3/4*f**5 + 0*f + 0*f**2 + 1/2*f**v - 1/4*f**3 + 0.
f**3*(f + 1)*(3*f - 1)/4
Let o be ((-15)/(-9) - -4) + -5. Suppose -10/3*w**4 + 0*w + 4*w**5 + 0 - 4/3*w**3 + o*w**2 = 0. Calculate w.
-1/2, 0, 1/3, 1
Let i = 1 + 2. Let 1/5*o + 3/5*o**i - 4/5*o**2 + 0 = 0. What is o?
0, 1/3, 1
Let k(n) be the third derivative of -n**6/30 - 2*n**5/15 + n**4/6 + 4*n**3/3 + 11*n**2. Suppose k(l) = 0. What is l?
-2, -1, 1
Let x(t) be the third derivative of -t**8/24 - t**7/21 + t**6/2 + 2*t**5/3 - 2*t**4/3 - 14*t**2. Let x(l) = 0. Calculate l.
-2, -1, 0, 2/7, 2
Let u(f) = f**3 + 1