7*w + 1/9*w**3 + 0*w**4 + 0. Factor y(d).
-2*(d - 2)*(d + 1)**2/9
Let n = -43 + 216/5. Factor -1/5*j**2 + n*j + 0.
-j*(j - 1)/5
Suppose -3*h = -4*n - 7 + 22, 5*h + 25 = -2*n. Let -8/5 + 2/5*z**2 + n*z = 0. Calculate z.
-2, 2
Let b = 15 - 12. Suppose -4*w = -b*y - 14, 0*w = 5*y - 4*w + 10. Determine p so that 1/2*p**5 + 0 - p**y - 1/2*p + 0*p**3 + p**4 = 0.
-1, 0, 1
Factor 6 - 3/4*u**2 - 21/4*u.
-3*(u - 1)*(u + 8)/4
Let q(j) be the second derivative of -j**9/7560 + j**8/1680 - j**7/1260 + j**4/3 - j. Let x(z) be the third derivative of q(z). Let x(h) = 0. What is h?
0, 1
Factor -s**4 + 3*s**5 - 22*s**2 + 25*s**2 - 3*s**3 - 2*s**4.
3*s**2*(s - 1)**2*(s + 1)
Let b(q) = -q - 1. Let j(y) = -12. Let h(z) = -b(z) + j(z). Let l be h(12). Find g such that -1/2*g**2 + l + 1/2*g = 0.
-1, 2
Let g(h) be the first derivative of h**6/21 + 16*h**5/35 + 25*h**4/14 + 76*h**3/21 + 4*h**2 + 16*h/7 - 9. Factor g(s).
2*(s + 1)**2*(s + 2)**3/7
Let x(b) be the second derivative of b**7/147 - b**6/105 + 8*b. Find t, given that x(t) = 0.
0, 1
Let t(n) be the third derivative of -n**7/70 + n**6/5 - 9*n**5/10 + 2*n**4 - 5*n**3/2 + 24*n**2. Factor t(h).
-3*(h - 5)*(h - 1)**3
Let t be ((-272)/6)/((-7)/3). Let l = t - 124/7. Factor -8/7*j**3 - 8/7*j - l*j**2 - 2/7 - 2/7*j**4.
-2*(j + 1)**4/7
Let n(r) be the first derivative of 1/2*r + 1/8*r**2 - 3/16*r**4 - 1/3*r**3 - 2. Find z such that n(z) = 0.
-1, 2/3
Suppose -2*r + 5*r - 9 = 0. Let o be (-7)/(-4) + (-2)/(-8). Factor 8*z**4 - z - 5*z**2 + 6*z**3 + 2*z**5 + 1 - 3*z**r + 2*z**5 - o*z**3.
(z + 1)**3*(2*z - 1)**2
Suppose -5*z = -3*g - 12, 3*g + 8 = 4*z - 1. Let 1/2*r**2 + 0 - 2*r**z + 0*r = 0. What is r?
0, 1/4
Let a(o) = -o**2 - 8*o - 11. Let y(l) = -l - 1. Suppose 3*p - 12 = n - 2*p, -3*n = 3*p. Let m(i) = n*y(i) + a(i). Find j, given that m(j) = 0.
-3
Suppose 0 = 5*a + 10. Let i be a/(-2)*(-4)/(-2). Let -4*s**4 + 2*s**4 - 2*s**3 - 2*s**3 + 4*s**2 + i*s - 2 + 2*s**5 = 0. Calculate s.
-1, 1
Let a(x) = 9*x**3 + 7*x**2 - 11*x - 8. Let b(v) = -4*v**3 - 3*v**2 + 6*v + 4. Let u(q) = -4*a(q) - 10*b(q). Factor u(f).
2*(f - 2)*(f + 2)*(2*f + 1)
Suppose -2*y + 3 = 5*c - 1, 0 = 5*c. Suppose -y*i - 3*i + 10 = 0. Solve -3*s + 1 - 12*s**2 - 5*s - 3 - 8*s**3 - i*s**4 = 0.
-1
Let x be 0 - -4 - (10 + -9). Factor b + 0*b - b + 3*b - x*b**2.
-3*b*(b - 1)
Let u = -12 + 14. Factor 0*h + 0 - 2/7*h**u.
-2*h**2/7
Let p = -3999/4 + 1026. Let k = p - 26. Solve -k*s**2 - s - 1 = 0 for s.
-2
Let y = -135 - -677/5. Suppose 86 - 82 = t. Find h, given that 6/5*h**3 + 0*h + y*h**t + 0 + 4/5*h**2 = 0.
-2, -1, 0
Let t(v) be the first derivative of -v**4/10 - 2*v**3/15 + v**2 - 6*v/5 - 10. Factor t(c).
-2*(c - 1)**2*(c + 3)/5
Let n(q) be the second derivative of 3*q**5/5 - 5*q**4/3 + 2*q**3/3 + 2*q**2 + 14*q. Factor n(b).
4*(b - 1)**2*(3*b + 1)
Let c = 1/13 + -2/195. Let q(v) be the second derivative of 0*v**3 + c*v**6 + 0*v**5 - 1/3*v**4 + v**2 - 3*v + 0. Find h such that q(h) = 0.
-1, 1
Let p = -243/4 + 61. Suppose 0 + p*b**2 - 1/4*b**3 + 1/2*b = 0. What is b?
-1, 0, 2
Let x(o) = 2*o**5 - 17*o**4 - 2*o**3 + 4*o**2 - 13*o. Let s(a) = a**5 - 8*a**4 - a**3 + 2*a**2 - 6*a. Let q(g) = 13*s(g) - 6*x(g). Suppose q(k) = 0. What is k?
-1, 0, 1, 2
Find x such that -4/7*x**3 - 12/7*x**2 + 0 - 8/7*x = 0.
-2, -1, 0
Let w = -13 + 13. Suppose 4*d + k = d + 1, -4*d - 4*k + 4 = w. Determine q so that d*q - 1/2*q**2 + 1/2 = 0.
-1, 1
Suppose -3*w - w = 0. Let f(g) be the third derivative of -1/240*g**5 - g**2 + 0*g + 0*g**3 - 1/240*g**6 + w + 0*g**4 - 1/840*g**7. Solve f(a) = 0 for a.
-1, 0
Factor 2*v - 2*v**2 - 2*v + 0*v**2 + 2*v.
-2*v*(v - 1)
Let m(o) = -o**2 - 3*o**3 + 0*o**3 - o**5 + o**4 + 4*o**3. Let r(l) = 3*l**5 - l**4 - 3*l**3 + l**2. Let y(t) = 2*m(t) + r(t). Let y(a) = 0. Calculate a.
-1, 0, 1
Suppose 5*w - 10 = 0, w = s + 3*s + 2. Let b be s/(-3 - -5 - 4). Factor b*a - 2/7*a**2 + 2/7*a**3 + 0.
2*a**2*(a - 1)/7
Solve 18 + 6*s - 2*s**2 - 2/3*s**3 = 0.
-3, 3
Let b(t) = -16*t**4 + 25*t**3 - 7*t - 7. Let p(h) = 10 - 8 - 8*h**3 + 4*h**4 + 2*h + h**4. Let r(z) = -2*b(z) - 7*p(z). Find d such that r(d) = 0.
0, 2
Determine h so that 9/2*h - 27/4*h**4 + 3/4 - 3/2*h**3 + 6*h**2 - 3*h**5 = 0.
-1, -1/4, 1
Let j(t) be the second derivative of -1/4*t**3 - 1/40*t**6 + 3/16*t**4 + 0*t**5 + 0 + 0*t**2 - 3*t. Factor j(h).
-3*h*(h - 1)**2*(h + 2)/4
Factor -6*o**4 + 2*o + 3*o**5 - 2*o**2 - 5*o + 8*o**2.
3*o*(o - 1)**3*(o + 1)
Let n(k) = -k + 8. Let p be n(7). Factor -5*a**3 + a**3 + p + a - a**2 + 3*a**3.
-(a - 1)*(a + 1)**2
Let x**2 - 3 - 2*x + 1 + 2 = 0. Calculate x.
0, 2
Let o(h) be the first derivative of h**5/180 - h**4/72 - h**3/9 + 5*h**2 + 7. Let b(q) be the second derivative of o(q). Determine r so that b(r) = 0.
-1, 2
Factor -4/5*f + 1/5*f**4 + 2/5*f**3 - 3/5*f**2 + 4/5.
(f - 1)**2*(f + 2)**2/5
Let v(q) be the second derivative of -q**9/9072 + q**7/1260 - q**5/360 - q**3/6 + 2*q. Let c(s) be the second derivative of v(s). Let c(j) = 0. Calculate j.
-1, 0, 1
Let q(s) be the second derivative of s**7/21 - s**6/5 - 47*s. Let q(y) = 0. Calculate y.
0, 3
Let g(t) be the second derivative of t**7/420 - t**6/90 + t**5/60 - t**3/3 - 3*t. Let y(o) be the second derivative of g(o). Factor y(v).
2*v*(v - 1)**2
Let o be (-15)/6*32/(-240). Factor k**2 - o*k + 0.
k*(3*k - 1)/3
Let l(t) be the second derivative of -t**5/10 - 3*t**4 - 36*t**3 - 216*t**2 + 18*t. Factor l(c).
-2*(c + 6)**3
Let s = 61 + -181/3. Let i(h) be the second derivative of 1/3*h**3 + 1/21*h**7 - s*h**4 - 4/15*h**6 + 0*h**2 + h + 3/5*h**5 + 0. Factor i(v).
2*v*(v - 1)**4
Let v be (-1 - 8/(-11))*(-32)/48. Suppose 0*p + 2/11*p**3 - v*p**2 + 0 = 0. Calculate p.
0, 1
Let r be ((-4)/(-7))/(-2) + 1037/2135. Let -1/5*d + r*d**3 - 3/5 + 3/5*d**2 = 0. Calculate d.
-3, -1, 1
Let w(i) be the third derivative of -25*i**8/504 + 11*i**7/63 - 19*i**6/180 - 23*i**5/90 + 2*i**4/9 + 4*i**3/9 - 7*i**2. Suppose w(l) = 0. Calculate l.
-2/5, 1
Factor -1/4*t**3 + 0 - 1/2*t**2 - 1/4*t.
-t*(t + 1)**2/4
Let p(r) be the third derivative of r**7/525 - r**5/50 - r**4/30 + 7*r**2. Factor p(c).
2*c*(c - 2)*(c + 1)**2/5
Let p(i) = -i - 2. Let s be p(-7). Factor 0 - 5*n - 2*n**4 + 0 + 4*n + 2*n**2 + n**s.
n*(n - 1)**3*(n + 1)
Solve -32/5*y**2 - 128/15*y**3 - 2/15 - 8/5*y = 0 for y.
-1/4
Suppose 0*n = -4*u - 5*n, 0 = -4*n. Find j, given that -2/7*j**2 + u + 4/7*j = 0.
0, 2
Let u(a) = a**3 - 5*a**2 - 7*a - 2. Let j be u(6). Let y = j + 33/4. Factor 0 - y*r + 3/4*r**3 + 0*r**2 - 1/2*r**4.
-r*(r - 1)**2*(2*r + 1)/4
Let q(k) be the third derivative of k**5/80 - 13*k**4/96 + k**3/6 - 10*k**2. Factor q(h).
(h - 4)*(3*h - 1)/4
Let q(y) = -y + 2. Let l be q(-20). Let v = l + -22. Suppose 2/9*b**2 - 2/9 + v*b = 0. Calculate b.
-1, 1
Find q such that 0 - 3/5*q**2 + 6/5*q = 0.
0, 2
Let y(i) be the second derivative of 1/24*i**4 + 0 + i**2 + 1/120*i**5 - i + 1/12*i**3. Let o(m) be the first derivative of y(m). Suppose o(g) = 0. Calculate g.
-1
Let r = 24 - 6. Let c be (4/3 - 0)*3. Let h(d) = -d**3 - 3*d - 2. Let z(n) = 5*n**3 + n**2 + 13*n + 8. Let k(a) = c*z(a) + r*h(a). Factor k(y).
2*(y - 1)*(y + 1)*(y + 2)
Let p(z) be the first derivative of -2*z**3/15 + 8*z/5 + 13. Find o, given that p(o) = 0.
-2, 2
Suppose -3*j - 2*y - 13 = 0, -4 = 2*j + 3*y + 13. Let p = j + 3. Determine g so that 0*g**p - 2/5*g**3 + 0*g + 0 = 0.
0
Let b(t) = -8*t**3 + 2*t**2 + 13*t. Let l(a) = -15*a**3 + 5*a**2 + 25*a. Let g(n) = 5*b(n) - 3*l(n). What is x in g(x) = 0?
-1, 0, 2
Let r(s) be the third derivative of s**8/1512 - s**6/90 - 4*s**5/135 - s**4/36 + 29*s**2. Suppose r(a) = 0. Calculate a.
-1, 0, 3
Let y = 62 + -39. Let a = -20 + y. Factor 1/2*m**4 + 0*m + 1/2 - m**2 + 0*m**a.
(m - 1)**2*(m + 1)**2/2
Suppose 5*l - 22 = -z, -5*l = -0*l - 2*z - 31. Suppose 0*b = -l*b. Factor -1/2*i**3 + 3/4*i**4 + 1/4 - i**2 + b*i + 1/2*i**5.
(i - 1)*(i + 1)**3*(2*i - 1)/4
Suppose -3 - 2 = -z. What is y in -20*y**3 - 2 - 10*y**4 - 3*y**5 - 9*y + 0*y + y**z - 20*y**2 - y = 0?
-1
Let m(o) be the second derivative of o**5/90 - o**4/54 - 7*o. Find b, given that m(b) = 0.
0, 1
Factor 2/19*r**2 - 4/19*r + 0.
2*r*(r - 2)/19
Find l such that -1/2*l + 0 - 1/2*l**2 = 0.
-1, 0
Let w be (858/168)/13 - (-2)/(-14). Factor -3/4*p + w*p**2 + 1/2.
(p - 2)*(p - 1)/4
Factor -22/9*f + 32/9*f**2 + 4/9 - 14/9*f**3.
