ctor 3/2*b**k + 1/2*b**3 + b + v.
b*(b + 1)*(b + 2)/2
Find t, given that -49*t**2 + 14*t**2 + 35*t**4 - 14*t**4 + 20*t + 10*t**3 - 16*t**4 = 0.
-4, 0, 1
Let i be (-6 - (-56)/12)/(-6). Factor i*m**2 + 0 + 2/3*m.
2*m*(m + 3)/9
Let z(k) = -14*k**3 - 24*k**2 - 26*k - 10. Let t(s) = s**4 - 15*s**3 - 23*s**2 - 27*s - 11. Let l(g) = -4*t(g) + 6*z(g). Factor l(b).
-4*(b + 1)**2*(b + 2)**2
Let o be (-1 + -1)*(-15 - 2). Let w = o - 34. Solve w*y**2 + 6/5*y - 2/5*y**3 + 4/5 = 0 for y.
-1, 2
Factor 24*d**5 - 49*d**5 + 27*d**5 - 2*d**4.
2*d**4*(d - 1)
What is j in 1/3*j**3 + 8/3 + 4*j + 2*j**2 = 0?
-2
Suppose -4*u + 16 = -3*t, 5*u - 31 = 3*t - 11. Suppose 2*r**3 - 2/3*r**2 - 2*r**4 + t*r + 0 + 2/3*r**5 = 0. What is r?
0, 1
Let j(x) = x**3 + 6*x**2 + 5*x + 2. Let n be j(-5). Factor -4/5 - 8/5*v**n - 2*v - 2/5*v**3.
-2*(v + 1)**2*(v + 2)/5
Solve 32 + 83*s**4 + 216*s**2 + 64*s**3 - 67*s**4 - 176*s - 164*s**3 = 0.
1/4, 2
Let h(u) be the first derivative of -3/4*u**4 - 4 - 2/3*u**3 + 3/2*u**2 + 2*u. Factor h(o).
-(o - 1)*(o + 1)*(3*o + 2)
Suppose -1 = 2*j - 5. Let r = 0 - -2. Find g, given that r*g + j + 1/2*g**2 = 0.
-2
Suppose -5*j - 20 = 3*t, 2*t + 0 = 5*j - 5. Let n be (j + -1)/(-1 + 0). Factor 0*l + 2/7*l**5 + 0 - 2/7*l**n - 6/7*l**4 + 6/7*l**3.
2*l**2*(l - 1)**3/7
Suppose 0*u**4 + 2*u**4 - 145*u**2 + 2*u**5 + 143*u**2 - 2*u**3 = 0. What is u?
-1, 0, 1
Let j(l) be the third derivative of -1/330*l**5 - 1/33*l**4 + l**2 - 4/33*l**3 + 0 + 0*l. Solve j(t) = 0.
-2
Let s(v) be the third derivative of -v**8/336 + v**7/210 + v**6/40 - v**5/60 - v**4/12 - 19*v**2. Solve s(l) = 0 for l.
-1, 0, 1, 2
Factor 1/6*x**4 - 1/2*x**3 + 0 + 0*x**2 + 2/3*x.
x*(x - 2)**2*(x + 1)/6
Let w(f) be the third derivative of -f**6/120 - f**5/80 + f**4/96 + 10*f**2. Factor w(r).
-r*(r + 1)*(4*r - 1)/4
Suppose -y = -2*y - 5*n + 19, -2*y - 4*n + 26 = 0. Let f = 4 + 0. Determine l so that -8*l**3 + y*l**2 - 8*l - 2*l**4 + 2 + 3*l**2 + 4*l**f = 0.
1
Let z(f) = -f**3 + 6*f**2 + 7*f + 5. Let j be z(7). Let -4*a**3 - 3 + 2*a + 5 - a**4 + 2*a**j + 3*a**4 - 4*a**2 + 0*a**3 = 0. Calculate a.
-1, 1
Factor 49*h**2 - 55*h + 0 - 5 + 180*h**3 - 169*h**2.
5*(h - 1)*(6*h + 1)**2
Factor 4*i - 2*i**3 + 71*i**5 - 3*i - 70*i**5.
i*(i - 1)**2*(i + 1)**2
Suppose 4*q**4 - 2*q - 4*q**2 + 2*q**5 - 51*q**3 + 0*q**4 + 51*q**3 = 0. Calculate q.
-1, 0, 1
Let o(j) be the second derivative of -j**4/15 - 8*j**3/15 - 8*j**2/5 - 12*j. Find d, given that o(d) = 0.
-2
Let a be 10/30 - (-14482)/(-30). Let w = a - -484. Find k, given that -w - 32/5*k - 42/5*k**2 - 18/5*k**3 = 0.
-1, -2/3
Factor -4*h**2 + 1 - 1 + 5*h**2.
h**2
Let w(s) = -s**4 + s**3 + s**2 - s + 1. Let d(b) = -21*b**4 + 3*b**3 - 6*b**2 - 30*b + 18. Let f(x) = -d(x) + 18*w(x). Solve f(y) = 0.
-2, -1, 0
Let y(p) = -p + 10. Let a be y(8). Factor h**2 - h**2 - a*h**2 + 3*h**2.
h**2
Let g(u) = -u**2 - u. Let f(r) = 3*r**5 - 3*r**4 - 6*r**3 + 8*r**2 + 5*r - 3. Let k(d) = f(d) + 2*g(d). What is o in k(o) = 0?
-1, 1
Let l(v) be the second derivative of v**4/66 - 4*v**3/33 - 5*v**2/11 + 13*v. Suppose l(y) = 0. Calculate y.
-1, 5
Let f be 4/(-6) + 105/90. Factor -v**2 + 1/2 + f*v**4 + 0*v**3 + 0*v.
(v - 1)**2*(v + 1)**2/2
Let y(b) be the first derivative of -2/5*b**5 - 2/13*b**6 - 4/39*b**3 + 0*b**2 + 0*b + 1 - 9/26*b**4. Let y(q) = 0. Calculate q.
-1, -2/3, -1/2, 0
Factor -4/3*z + 4/3*z**2 - 8/3.
4*(z - 2)*(z + 1)/3
What is n in 4/3*n**2 - 4*n**3 - 16/3*n**4 + 0*n + 0 = 0?
-1, 0, 1/4
Let m = 2/235 - 1432/2585. Let i = m - -29/33. Factor i*k**2 + 4/3 + 4/3*k.
(k + 2)**2/3
Let x(d) = -d**2 + 4*d + 7. Let b be x(5). Factor -q**2 + 2*q - 5*q + 2*q**b + 2*q.
q*(q - 1)
Let u(i) = 2*i**2 - 4*i - 6. Let m(f) = -4*f**2 + 7*f + 11. Let x = 4 - 11. Let t = 7 - 11. Let h(c) = t*m(c) + x*u(c). Determine g, given that h(g) = 0.
-1, 1
Let r be (6/8)/(1/(-4)). Let k be ((-12)/10)/(r/10). Find j such that 3*j**4 + j**k - j**3 - 3*j**4 = 0.
0, 1
Let w = -5 - -8. Suppose -3*f - w = -18. Suppose f*a**2 + 5*a**2 + 3*a**3 + 5*a**3 + 2*a**4 + 4*a = 0. What is a?
-2, -1, 0
Let w be (1/12 - 0)/(77/176). Let d(c) be the first derivative of 0*c - 3 + w*c**3 - 1/14*c**4 - 1/7*c**2. Factor d(h).
-2*h*(h - 1)**2/7
Suppose -5*x = -3*x. Let p(g) be the third derivative of 1/420*g**7 - 1/48*g**4 + x*g - g**2 + 1/40*g**5 - 1/80*g**6 + 0 + 0*g**3. What is m in p(m) = 0?
0, 1
Let f be ((-272)/(-204))/(16/6 + -2). Let -1/3 - 1/3*w**f - 2/3*w = 0. What is w?
-1
Let z(w) = -5*w**3 + 2*w + 3. Let s(l) = -4*l**3 + 2*l + 2. Let n(o) = -3*s(o) + 2*z(o). Determine g so that n(g) = 0.
-1, 0, 1
Let d(g) = -g**2 - 7*g - 4. Let w be d(-6). Determine l so that 2*l - w*l**3 - 5 + l**2 + 5 - l**4 = 0.
-2, -1, 0, 1
Suppose 254 = -14*a + 282. Determine q so that -1/3*q**a + 0*q + 4/3 = 0.
-2, 2
Let m(j) be the second derivative of -j**2 + j + 1/12*j**4 + 1/6*j**3 + 0. Solve m(p) = 0 for p.
-2, 1
Factor 46*i**2 - 42*i**2 + 6*i**3 - 2*i**3 - 4 - 4*i.
4*(i - 1)*(i + 1)**2
Let u(p) be the second derivative of -p**7/2520 - p**6/540 + p**5/360 + p**4/36 - 4*p**3/3 - 6*p. Let q(g) be the second derivative of u(g). Factor q(y).
-(y - 1)*(y + 1)*(y + 2)/3
Let q(g) be the second derivative of 3*g**8/8960 + g**7/840 - g**6/240 + g**4/6 - 5*g. Let t(d) be the third derivative of q(d). Solve t(u) = 0.
-2, 0, 2/3
Let d = 12 + -8. Suppose d*i = i. Factor -2/11*t**2 + 2/11*t**3 + i + 0*t.
2*t**2*(t - 1)/11
Let r(m) be the second derivative of m**7/17640 + m**6/5040 - m**5/420 + m**4/2 + 3*m. Let p(z) be the third derivative of r(z). Factor p(i).
(i - 1)*(i + 2)/7
Let o(p) be the first derivative of 2*p**3/27 - p**2/9 - 4*p/3 + 38. Suppose o(g) = 0. What is g?
-2, 3
Let f = -3/11 + 20/33. Let f*d**2 + 2/3 + d = 0. Calculate d.
-2, -1
Determine y so that -3*y**4 + 12*y**2 - 12*y**3 - 4*y + 7*y**4 + 0*y**4 = 0.
0, 1
Let w(x) be the second derivative of x**6/135 + x. Let w(t) = 0. Calculate t.
0
Suppose -5*l = -3*l - 4. Factor 0 + 1/2*j**3 + 0*j - 1/2*j**l.
j**2*(j - 1)/2
Let i(a) be the second derivative of -a**5/60 + 7*a**4/36 - 5*a**3/9 + a - 16. Factor i(f).
-f*(f - 5)*(f - 2)/3
Let s(n) = -n**2 - 2*n + 5. Let w be s(-3). Let m(v) be the third derivative of 0*v**3 + 1/270*v**5 + 0*v**4 + 0*v + 1/540*v**6 + 3*v**w + 0. Factor m(k).
2*k**2*(k + 1)/9
Let i = 309/1106 + 1/158. Suppose 18/7*d**3 - i - 6/7*d**2 - 10/7*d = 0. What is d?
-1/3, 1
Let o(w) be the second derivative of w**6/90 + 7*w**5/180 + w**4/27 + 16*w. Solve o(s) = 0.
-4/3, -1, 0
Let z(i) = -i**2 + i. Let w(c) = 8*c**2 - 7*c - 4. Let x(m) = 5*w(m) + 35*z(m). Determine s, given that x(s) = 0.
-2, 2
Let p(v) be the third derivative of 5*v**8/112 + 9*v**7/10 + 137*v**6/20 + 22*v**5 + 12*v**4 - 64*v**3 + 12*v**2. Solve p(s) = 0.
-4, -1, 2/5
Factor -d**2 - 20*d - 4*d**2 + 11 - 31 + 0*d**2.
-5*(d + 2)**2
Let r(d) be the third derivative of -1/96*d**4 + 1/840*d**7 + 0 + d**2 + 0*d + 1/12*d**3 + 1/480*d**6 - 1/80*d**5. Let r(i) = 0. Calculate i.
-2, -1, 1
Factor 0 + 5*l**2 - 4*l - 1/2*l**3 - 1/2*l**4.
-l*(l - 2)*(l - 1)*(l + 4)/2
Let z(a) = a - 7 - 2*a + 2*a + 12. Let v be z(-3). Factor -6 - y**3 + 6 + y**v.
-y**2*(y - 1)
Solve 5 - 120*h - 11 - 5*h**2 - 12 - 195*h**2 = 0 for h.
-3/10
What is l in -2/9*l + 0 - 2/9*l**2 = 0?
-1, 0
Let h = -13 + 15. Let w(o) be the second derivative of 1/12*o**4 + 0 + 1/3*o**3 + 1/2*o**2 + h*o. Let w(x) = 0. Calculate x.
-1
Let t(q) be the first derivative of q**4/4 - 3*q**2/2 + 2*q + 3. Suppose t(i) = 0. What is i?
-2, 1
Let m(q) be the third derivative of -19*q**6/60 + 37*q**5/30 - 17*q**4/12 - q**3/3 + 16*q**2 - 2*q. Factor m(p).
-2*(p - 1)**2*(19*p + 1)
Suppose 1/4*u**4 - 5/4*u**3 + 0 + 9/4*u + 3/4*u**2 = 0. Calculate u.
-1, 0, 3
Let o be (-1 - (-4 - -6)) + 7. Let a(l) be the first derivative of 10/9*l**3 + 3 + l**2 + 11/18*l**o + 2/15*l**5 + 4/9*l. Factor a(q).
2*(q + 1)**3*(3*q + 2)/9
Find r, given that -5*r**2 + 6*r**3 + r**2 + 331*r**5 - 333*r**5 = 0.
-2, 0, 1
Suppose -3*c - 4 = 2. Let s be (5/(-10))/(c/12). Solve -1 + 2 + 6*p**2 - 6*p - 2*p**s - 1 + 2 = 0.
1
Factor 0 - 2/3*z**2 - 4/3*z.
-2*z*(z + 2)/3
Let g(a) be the first derivative of 0*a + 1/420*a**6 + 0*a**4 + 1/280*a**5 + 0*a**2 + 2/3*a**3 + 1. Let p(x) be the third derivative of g(x). Factor p(h).
3*h*(2*h + 1)/7
Suppose 4*o = o + 27. Solve 10*v**2 + 3*v**3 - o*v**3 - 2*v - 5*v + 3*v 