 - 1)/2
Let j = 5/3 - 7/6. Let w = 1 + 2. Factor 0*b**2 - 1/2*b + j*b**w + 0.
b*(b - 1)*(b + 1)/2
Let l(u) be the second derivative of 25*u**5/6 - 175*u**4/18 + 40*u**3/9 + 16*u**2/3 - 11*u. Determine g so that l(g) = 0.
-1/5, 4/5
Let i be 20/10 + (-142)/72. Let o(h) be the second derivative of 0*h**2 - 1/90*h**6 + 0*h**5 - 2*h + i*h**4 + 0*h**3 + 0. Suppose o(j) = 0. Calculate j.
-1, 0, 1
Suppose q - 10 = 2*t - 7*t, -4 = 2*q - 2*t. Suppose q = -7*u + 3*u. What is l in 4/3*l - 2*l**2 + u + 2/3*l**3 = 0?
0, 1, 2
Let d be 168/63 + 2/6. Let p(c) be the first derivative of -3/2*c**2 - 2 - c + 4/3*c**d. Factor p(w).
(w - 1)*(4*w + 1)
Let u(w) be the third derivative of -2*w**7/105 - 4*w**6/15 - w**5 + 4*w**4/3 + 32*w**3/3 - 43*w**2. What is i in u(i) = 0?
-4, -1, 1
Let j = -6 + 9. Find c such that j - 1 - 6*c + 4*c**2 + 3*c - 3 = 0.
-1/4, 1
Let i(a) be the first derivative of 3/2*a**2 + 1/8*a**3 + 1/80*a**5 + 4 + 1/16*a**4 + 0*a. Let w(v) be the second derivative of i(v). Factor w(c).
3*(c + 1)**2/4
Let c(q) be the third derivative of -q**10/50400 + q**8/3360 - q**6/240 + q**5/30 - q**2. Let x(o) be the third derivative of c(o). Factor x(m).
-3*(m - 1)**2*(m + 1)**2
Find k, given that -2/5*k**2 - 2/15*k**3 + 8/15 + 0*k = 0.
-2, 1
Suppose 5*k + 2*d = 1 + 11, 5*k = 2*d + 8. Suppose 5*u = 2*x - 5, -2*x + 5*u + 3 = k*u. Find o such that 0 + x*o + 1/3*o**3 + 1/3*o**2 = 0.
-1, 0
Let t = -2 - -4. Find r, given that -r**2 + 0*r - t*r + 3*r = 0.
0, 1
Let l(w) be the third derivative of -1/120*w**5 - 1/144*w**4 + 1/720*w**6 + 1/36*w**3 + 1/630*w**7 + 0*w + 4*w**2 + 0. Find d such that l(d) = 0.
-1, 1/2, 1
Suppose 2*b + 47 - 53 = 0. Let x(g) be the first derivative of 0*g + 1/14*g**4 - 1 + 1/7*g**2 - 4/21*g**b. Factor x(m).
2*m*(m - 1)**2/7
Suppose -13 = -4*j + 3. Factor -2*t**3 - 3*t**3 - t**5 + 5*t**3 - t**j.
-t**4*(t + 1)
Let o(x) be the first derivative of 2*x**6 + 8*x**5 + 7*x**4 - 16*x**3/3 - 8*x**2 + 8. Let o(i) = 0. What is i?
-2, -1, 0, 2/3
Suppose 0 = -f + 3 + 5. Solve 3*d**2 + d**3 - f*d + 2*d + 8*d**3 = 0.
-1, 0, 2/3
Let p be -2 + 0 - (3 + -6). Solve -1 + p - 3*q + 3*q**2 - 2 + 2*q = 0.
-2/3, 1
Let a(f) = -2*f - 3. Let p be (-4)/(-14) + (-69)/21. Let w be a(p). Solve 2*s**2 + 4*s**w - 2*s**3 + 0*s**3 - 2*s**4 - 2*s = 0.
-1, 0, 1
Let w(j) = j**3 - 4*j**2 - 5*j + 2. Suppose -3 = -3*u + 12. Let n be w(u). Suppose -2 - 1/2*f**2 + n*f = 0. Calculate f.
2
Suppose n - 3*n = -4. Factor 3*h**2 - 4*h**2 - 4*h**n + 2*h**2.
-3*h**2
Suppose -5*i - 3*z = 2 + 3, 7 = -4*i - 3*z. Factor 0*x + 12/5*x**3 + 13/5*x**i - 1/5.
(x + 1)*(3*x + 1)*(4*x - 1)/5
What is z in 2/5 - z**3 + 1/5*z**4 + 9/5*z**2 - 7/5*z = 0?
1, 2
Let u(t) be the second derivative of -8*t**6/5 - 18*t**5/5 - t**4/4 + 3*t**3 - 3*t**2/2 + 13*t. Suppose u(h) = 0. What is h?
-1, 1/4
Let l(h) = -9*h**2 - 3*h + 3. Let d(s) be the third derivative of 3*s**5/10 + s**4/4 - 5*s**3/6 + s**2. Let y(j) = -3*d(j) - 7*l(j). Factor y(t).
3*(t + 1)*(3*t - 2)
Suppose -5*d = 5*n - 50, -2*d = 2*d + 2*n - 36. Let p be 2/d + (-3)/(-84). Factor -6/7*u**2 - p*u**4 - 6/7*u**3 + 0 - 2/7*u.
-2*u*(u + 1)**3/7
Factor 12/5 - 9/5*j - 3/5*j**2.
-3*(j - 1)*(j + 4)/5
Let o(t) be the third derivative of -5*t**8/756 - 16*t**7/945 + 2*t**6/135 + 2*t**5/27 + t**4/54 - 4*t**3/27 - 10*t**2. Solve o(h) = 0.
-1, 2/5, 1
Let l(y) be the second derivative of -3/40*y**5 - 1/168*y**7 + y + 0*y**2 - 1/12*y**4 + 0 - 1/30*y**6 - 1/24*y**3. Factor l(r).
-r*(r + 1)**4/4
Let w(m) be the first derivative of -2*m**3/9 + 28*m**2/3 - 392*m/3 + 30. Factor w(q).
-2*(q - 14)**2/3
Suppose 2*b + 2*b = -40. Let v be (-14)/b + 1/(-5). Factor -2/5*y**2 + v*y - 4/5.
-2*(y - 2)*(y - 1)/5
Suppose 0 = 4*y - 4*u - 12, 0 = -5*y + 4*u - 2 + 17. Factor 12*g**3 + 25*g**y + 134*g**2 - 8 + 89*g**3.
2*(g + 1)*(7*g + 2)*(9*g - 2)
Let b = 24 - 20. Let t(i) be the second derivative of -1/2*i**b - i**2 + i + 4/3*i**3 + 0. Factor t(p).
-2*(p - 1)*(3*p - 1)
Let 0 - 3/5*v**3 + 2*v**2 + 8/5*v = 0. What is v?
-2/3, 0, 4
Let -2/7*b**2 + 0*b + 0 - 4/7*b**3 = 0. Calculate b.
-1/2, 0
Let v = -4/27 - -76/27. Determine j, given that 0 + v*j**2 - 50/3*j**4 - 50/3*j**3 + 8/3*j = 0.
-1, -2/5, 0, 2/5
Find g such that -1/9 - 11/9*g**3 + g**2 + 4/9*g**4 - 1/9*g = 0.
-1/4, 1
Suppose -80/9*r + 22/3*r**2 - 20/9*r**3 + 32/9 + 2/9*r**4 = 0. Calculate r.
1, 4
Determine b so that -46*b + 2*b**2 + 28*b - 12*b**2 + 4 = 0.
-2, 1/5
Let k(g) = g + 4. Let z be k(-2). Suppose -5*f + z*f = -6. Let i**5 - 2*i**2 - i - 2*i**5 + 6*i**f + 4*i**4 - 6*i**3 = 0. What is i?
0, 1
Suppose 0 - 2*w**4 + 0*w + 4/5*w**3 + 0*w**2 = 0. Calculate w.
0, 2/5
Let r(h) be the first derivative of 8*h**4/9 - 80*h**3/27 + 17*h**2/9 - 4*h/9 - 7. Determine q, given that r(q) = 0.
1/4, 2
Let n(v) = v**2 - v + 1. Let m(i) be the first derivative of i**5/5 + 3*i**4/4 + 4*i**3 - 4*i**2 + 9*i - 1. Let d(s) = 2*m(s) - 18*n(s). Factor d(g).
2*g*(g + 1)**3
Let c be (-1)/(-3 + 1)*0. Suppose 0 = -5*u, -3*u = -3*h - c*u + 6. Factor -2 + 2*y**h - 2*y + 2.
2*y*(y - 1)
Let p(v) be the third derivative of -v**9/10584 + v**7/1470 - v**5/420 - v**3/6 + 2*v**2. Let z(j) be the first derivative of p(j). Factor z(g).
-2*g*(g - 1)**2*(g + 1)**2/7
Let d(t) be the second derivative of t**5/30 - t**4/18 - t**3/9 + t**2/3 - 4*t. Factor d(h).
2*(h - 1)**2*(h + 1)/3
Let c(m) be the first derivative of 76*m**3/21 - 72*m**2/7 - 16*m/7 - 23. Factor c(f).
4*(f - 2)*(19*f + 2)/7
Let q(r) be the third derivative of -r**6/30 + r**5/15 + r**4/6 - 2*r**3/3 - r**2. Find z, given that q(z) = 0.
-1, 1
Let j(i) = 3*i**4 - 15*i**3 - 6*i. Let c(b) = -5*b**4 + 29*b**3 + b**2 + 11*b. Let h(f) = -6*c(f) - 11*j(f). Determine z, given that h(z) = 0.
-2, -1, 0
Suppose 8 = -5*w + 2*d + 20, d - 4 = 0. Let t(b) be the first derivative of 1/2*b**2 - 2 - b - 1/4*b**w + 1/3*b**3. Solve t(g) = 0 for g.
-1, 1
Let z(m) be the third derivative of -m**6/30 - 2*m**5/15 + m**4/6 + 4*m**3/3 + 9*m**2. Suppose z(a) = 0. What is a?
-2, -1, 1
What is x in 3/2*x + 2 + 1/4*x**2 = 0?
-4, -2
Let f = -309/2 - -155. Suppose -f*t**2 - 1/2*t + 1 = 0. Calculate t.
-2, 1
Factor 9/2*p**3 - 3/2*p**4 + 3/2*p - 9/2*p**2 + 0.
-3*p*(p - 1)**3/2
Suppose 2/3*q**5 + 2*q**2 + 0 - 2*q**4 - 4/3*q + 2/3*q**3 = 0. What is q?
-1, 0, 1, 2
Let t(j) be the third derivative of 0*j + 0*j**3 + j**2 - 1/180*j**5 - 1/72*j**4 + 0. Determine u so that t(u) = 0.
-1, 0
Let f(n) be the third derivative of -n**7/3465 - n**6/1320 + n**5/660 - n**4/4 - 3*n**2. Let l(m) be the second derivative of f(m). Factor l(k).
-2*(k + 1)*(4*k - 1)/11
Let o be 26/14 - ((-170)/14 - -12). Let i(u) = -u**3 + 3. Let z be i(0). Find s such that 0*s**o + 2/7 - 2/7*s**4 + 4/7*s - 4/7*s**z = 0.
-1, 1
Let i = -7 + 10. Let x(t) be the first derivative of -4/3*t**i - 6/5*t**5 - 1 + 0*t**2 + 0*t - 5/2*t**4. Factor x(y).
-2*y**2*(y + 1)*(3*y + 2)
Factor -5*q**2 - 5*q + 21 - q**2 + 3*q**2 + 23*q.
-3*(q - 7)*(q + 1)
Let 0 - 2/3*o**2 + 8/3*o - 1/3*o**3 = 0. Calculate o.
-4, 0, 2
Let q(f) be the second derivative of 3*f**5/140 + 3*f**4/28 - 6*f**2/7 + 32*f. Find n, given that q(n) = 0.
-2, 1
Factor 2/7 - 6/7*z - 8/7*z**2.
-2*(z + 1)*(4*z - 1)/7
Factor 4 + 5*n**3 - 2*n**3 - 4*n - 3*n**2 - n**2 + n**3.
4*(n - 1)**2*(n + 1)
Let j(b) be the first derivative of -b**6/6 + b**4/2 - b**2/2 - 2. Solve j(h) = 0 for h.
-1, 0, 1
Let z be (10/(-4) + 2)*2. Let q(h) = h**2 - 15 + 7 - h + 8. Let f(i) = 7*i**2 - 2*i + 4. Let b(s) = z*f(s) + 6*q(s). Find j such that b(j) = 0.
-2
Find x, given that 0 - 5/2*x**4 - 15/2*x - 25/2*x**3 - 35/2*x**2 = 0.
-3, -1, 0
Suppose 3*g - 3*w - 29 = w, -20 = 4*w. Let d = -1 + g. Factor -2*z + z**2 + 0 - d + 3.
(z - 1)**2
Suppose 0 = 2*u + 39 - 45. Factor -1/4*n**2 + 1/4*n - 3/4*n**4 + 0 - 5/4*n**u.
-n*(n + 1)**2*(3*n - 1)/4
Let p be (4/((-8)/(-6)))/1. Factor 2/3*h**2 + 2/9*h**4 + 0 - 2/3*h**p - 2/9*h.
2*h*(h - 1)**3/9
Let i(o) be the first derivative of o**4/8 + o**3/6 - o**2/4 - o/2 - 5. Factor i(y).
(y - 1)*(y + 1)**2/2
Determine g so that 3*g**3 + 0*g**3 - 5*g**2 + 0*g**3 + 2*g**3 = 0.
0, 1
Let h(c) = 3*c**2 + 6*c - 3. Let o(x) = 6*x**2 + 13*x - 5. Suppose -5 - 15 = -5*b. Suppose b*z = 13 + 15. Let f(j) = z*h(j) - 3*o(j). Let f(i) = 0. Calculate i.
-2, 1
Let x = -8 - -9. Let -6*l - 4 - 18*l**2 + 2 - x - 3*l**4 - 6*l - 12*l**3 = 0. Calculate l.
-1
