8*a**4.
2*a*(a - 1)*(a + 1)**2
Suppose 3 = -3*j + 4*j. Suppose 4*k = j*k. Let k + 2*q**2 + 2/3*q + 4/3*q**3 = 0. Calculate q.
-1, -1/2, 0
Let v = -584/3 - -4687/24. Solve 7/8*m**3 - 1/4*m + v*m**2 + 0 = 0.
-1, 0, 2/7
Let o(s) be the third derivative of s**6/84 + s**5/105 + 7*s**2 + 3*s. Factor o(x).
2*x**2*(5*x + 2)/7
Let a(s) = -s**2 + s. Let x(y) = y**2 - y. Let i(l) = 4*a(l) + x(l). Suppose i(t) = 0. Calculate t.
0, 1
Let u(s) be the first derivative of -s**7/2520 - s**6/360 - s**5/120 - s**4/72 - 5*s**3/3 + 4. Let p(o) be the third derivative of u(o). Solve p(h) = 0.
-1
Let g(u) be the third derivative of -u**7/40 - 11*u**6/40 - 15*u**5/16 - 23*u**4/16 - u**3 - 9*u**2. Determine b so that g(b) = 0.
-4, -1, -2/7
Let h(y) be the second derivative of y**7/10080 + y**6/2880 - y**5/240 - y**4/4 + y. Let z(n) be the third derivative of h(n). Factor z(o).
(o - 1)*(o + 2)/4
Let y be (-4)/14 - 250/(-140). Let p(v) be the first derivative of -1 + 4/3*v**3 + 1/2*v**2 + y*v**4 + 0*v + 1/6*v**6 + 4/5*v**5. Factor p(f).
f*(f + 1)**4
Let b(r) = 22*r**2 + r - 2. Let d be b(1). Suppose 4*z - 14 = -2*o, 8*o = -3*z + 3*o + d. Factor 4/5*j**z + 2/5*j**5 + 0 - 2/5*j + 0*j**3 - 4/5*j**4.
2*j*(j - 1)**3*(j + 1)/5
Let i(k) be the third derivative of 0 + 0*k + 1/6*k**5 + 1/15*k**6 + 1/6*k**4 + 0*k**3 - 3*k**2 + 1/105*k**7. Solve i(r) = 0 for r.
-2, -1, 0
Let n(o) be the second derivative of -5*o**7/42 - o**6/6 + o**5/4 + 5*o**4/12 - 2*o. Factor n(t).
-5*t**2*(t - 1)*(t + 1)**2
Let m(l) be the second derivative of 1/10*l**6 - l + 0*l**3 + 2/21*l**7 + 0 + 0*l**2 - 1/20*l**5 + 0*l**4. Factor m(y).
y**3*(y + 1)*(4*y - 1)
Let x(d) be the third derivative of -1/2*d**4 + 0*d - 2*d**2 + 0 + 3*d**3 + 1/30*d**5. Factor x(t).
2*(t - 3)**2
Let a be (-72 + 74)*1/7. Determine l, given that -a*l + 2/7*l**2 + 2/7*l**3 - 2/7 = 0.
-1, 1
Let d = 16 + -14. Let c(r) be the first derivative of -1/3*r**3 + 0*r + 0*r**d - 1/5*r**5 + 1/2*r**4 - 2. What is v in c(v) = 0?
0, 1
Suppose 0 + 4/3*d**3 + 0*d**2 - 2/3*d - 2/3*d**5 + 0*d**4 = 0. What is d?
-1, 0, 1
Let u(m) be the third derivative of m**5/40 - 7*m**4/16 + 3*m**3 - 12*m**2 - 2*m. Find q such that u(q) = 0.
3, 4
Suppose -12 = -2*g - 2*o + o, -o = 4*g - 20. Factor -5 + 6*d**4 - g*d**3 - 2*d**5 + 5.
-2*d**3*(d - 2)*(d - 1)
Let n(x) be the second derivative of x**4/36 + 5*x**3/18 + 2*x**2/3 - 7*x. Factor n(t).
(t + 1)*(t + 4)/3
Let 8/5*u + 16/5 - 7/5*u**2 + 1/5*u**3 = 0. Calculate u.
-1, 4
Factor f**2 - 39*f**5 + 3*f**2 - 4*f**3 - 39*f**5 - 4*f**4 + 82*f**5.
4*f**2*(f - 1)**2*(f + 1)
What is i in -4/7*i**3 - 16/7 + 16/7*i + 4/7*i**2 = 0?
-2, 1, 2
Let u(x) be the third derivative of 1/180*x**6 + 1/210*x**7 - 1/45*x**5 + 1/18*x**3 - 4*x**2 + 0*x + 0*x**4 + 0 - 1/504*x**8. Solve u(d) = 0 for d.
-1, -1/2, 1
Let a(h) be the first derivative of h**6/1260 - h**5/420 - h**4/42 - 7*h**3/3 - 6. Let b(j) be the third derivative of a(j). Find y such that b(y) = 0.
-1, 2
Let h(j) = 2*j**2 + 6*j + 4. Let c(y) = -y**2 - 3*y - 2. Let d(a) = 5*c(a) + 2*h(a). Factor d(k).
-(k + 1)*(k + 2)
Let v be (-16)/(-2)*3/6. Let o(r) be the third derivative of 1/330*r**5 + 0 + 0*r - v*r**2 + 0*r**4 - 1/33*r**3. Find h, given that o(h) = 0.
-1, 1
Find p, given that 4 - 4*p - 2*p**5 - 2*p**2 + 6*p**3 + p**4 + p**4 - 4 = 0.
-1, 0, 1, 2
Let n = -1879 - -22585/12. Let s(h) be the second derivative of -5/3*h**6 + 3*h + 4*h**3 + 0 + n*h**4 + 2*h**2 - 3/4*h**5. Find k, given that s(k) = 0.
-1/2, -2/5, 1
Let m(t) be the second derivative of -t**5/20 + t**3/6 - 2*t. Factor m(i).
-i*(i - 1)*(i + 1)
Let z be (-2)/9 - 998/(-36). Let k = 28 - z. Factor 1/2*n**2 + n + k.
(n + 1)**2/2
Let q = 840 - 836. Let 0 - 2/9*g**q + 0*g - 2/9*g**3 + 0*g**2 = 0. Calculate g.
-1, 0
Suppose -s + 5 = -2*h + 3, 5*s - 25 = -5*h. Let w be (s/(-5))/((-2)/10). What is f in -f**2 + w*f**2 - f**3 - 2*f**2 - 1 + f + 0*f**3 = 0?
-1, 1
Let t(x) be the third derivative of -x**2 + 2/27*x**3 + 0 - 1/108*x**4 + 1/540*x**6 - 1/135*x**5 + 0*x. Factor t(u).
2*(u - 2)*(u - 1)*(u + 1)/9
Factor -14*a**2 + 0*a - 3*a**3 + 12*a + 5*a**2.
-3*a*(a - 1)*(a + 4)
Let r(g) be the second derivative of -3/70*g**5 + 0 + 1/105*g**6 - 1/21*g**3 + 1/14*g**4 + 0*g**2 + 2*g. Let r(h) = 0. Calculate h.
0, 1
Factor -1/6*h - 1/3 + 1/6*h**2.
(h - 2)*(h + 1)/6
Let a be -1*60/(-72)*(-1)/(-5). Factor -1/6*y + a + 1/6*y**3 - 1/6*y**2.
(y - 1)**2*(y + 1)/6
Factor -2/9 - 1/9*n - 1/9*n**4 + 1/3*n**2 + 1/9*n**3.
-(n - 2)*(n - 1)*(n + 1)**2/9
Let s be (-2)/7 - (-80)/35. Factor 20*w**2 - s*w**2 + 2*w**2 - 1 - 1 + 6*w.
2*(2*w + 1)*(5*w - 1)
Let g(a) be the third derivative of a**8/600 - 3*a**7/700 + a**6/450 - a**3/2 + 2*a**2. Let u(c) be the first derivative of g(c). Factor u(v).
2*v**2*(v - 1)*(7*v - 2)/5
Let r = -17/14 - -3/2. Factor -2/7*x + 0 - r*x**2.
-2*x*(x + 1)/7
Let a(f) be the second derivative of 2*f**7/21 + 8*f**6/15 + f**5 + 2*f**4/3 - 2*f. Suppose a(t) = 0. Calculate t.
-2, -1, 0
Let y(f) = -f**3 + 15*f**2 + 14*f + 20. Let c be y(16). Let q be (-4)/(-24) + (-22)/c. Solve 1/3*v**q - 2/3 - 1/3*v = 0 for v.
-1, 2
Let n = 27 + -295/11. Find c, given that 4/11 - 2/11*c - n*c**2 = 0.
-2, 1
Suppose 14 + 0 = 2*j. Let k be ((-4)/j)/(20/(-14)). Factor 0*l + 0 - k*l**2.
-2*l**2/5
Let c(b) = -2*b - 2. Let u be c(-2). Factor 4*l**2 - 3*l**2 - 6 + u*l**2 + 3*l.
3*(l - 1)*(l + 2)
Let q = 111/2 - 54. Factor 2*z + q*z**2 - 2.
(z + 2)*(3*z - 2)/2
Let h be (-2)/(3/(-3) - 1). Factor h - 1 + 0*i**2 - i**3 - i**2.
-i**2*(i + 1)
Let s(i) be the third derivative of 0*i**4 + i**2 + 0*i**3 + 1/840*i**8 - 1/100*i**6 + 0 - 1/75*i**5 + 0*i + 0*i**7. Determine h so that s(h) = 0.
-1, 0, 2
Let a(n) be the third derivative of -n**8/280 - 13*n**7/525 - 4*n**6/75 - 2*n**5/75 - 5*n**2. Suppose a(h) = 0. What is h?
-2, -1/3, 0
Let g = 4/1777 - -261203/7108. Let -1 + g*l**4 + 5*l + 19/4*l**2 - 91/2*l**3 = 0. Calculate l.
-1/3, 2/7, 1
Let m = 79/39 + -22/13. Solve -1/3*v**3 + m*v**2 + 1/3*v - 1/3 = 0.
-1, 1
Solve -4*v**3 - 2*v**2 + 5*v**3 - v**2 - 4*v**3 = 0.
-1, 0
Let k(l) = 13*l**4 - 23*l**3 + 8*l**2 + 2. Let w(z) = 51*z**4 - 93*z**3 + 33*z**2 + 9. Let p(a) = 9*k(a) - 2*w(a). Find s, given that p(s) = 0.
0, 2/5, 1
Let q = 35 + -18. Let a = q + -9. Factor -3*n**3 + 14*n**2 - 5*n**3 - a*n**4 - 2*n - 2*n + 0*n**3.
-2*n*(n + 2)*(2*n - 1)**2
Let n(a) = -3*a**2 + 2*a - 4. Let x(q) = -4*q**2 + 3*q - 4. Let c(g) = -6*n(g) + 4*x(g). Let j(m) = -1. Let t(p) = c(p) + 10*j(p). Suppose t(k) = 0. What is k?
-1, 1
Suppose 3*p = -2*s + s, 4*p = 5*s. Let z(r) be the third derivative of 0*r**3 - 2*r**2 + s*r + 1/60*r**5 + 0*r**4 + 0. Factor z(i).
i**2
Let d(n) be the first derivative of n**6/18 + 2*n**5/15 + n**4/12 - 7. Suppose d(j) = 0. What is j?
-1, 0
Let a(c) be the first derivative of 0*c - 5 + 0*c**2 - 12/25*c**5 - 2/5*c**3 - 1/10*c**6 - 3/4*c**4. Factor a(s).
-3*s**2*(s + 1)**2*(s + 2)/5
Let p(j) be the first derivative of -4/5*j**3 - 2/25*j**5 - 4/5*j**2 - 2/5*j - 2/5*j**4 + 1. Determine c so that p(c) = 0.
-1
Let h be ((-307)/(-9))/((-2)/(-4)). Let u = -68 + h. Factor u*o**4 - 4/9*o + 0*o**2 + 4/9*o**3 - 2/9.
2*(o - 1)*(o + 1)**3/9
Let m(j) be the first derivative of -5*j**4/4 + 5*j**3 - 15*j**2/2 + 5*j + 42. Determine y, given that m(y) = 0.
1
Let 22*b**3 + b - 29*b**2 + 4*b - 89 - 86 + 177 = 0. Calculate b.
-2/11, 1/2, 1
Let g(r) = -r**2 + 12*r - 14. Let l be g(10). Let z be l/3 + -1 + 2. What is h in 2*h**3 - 3*h**z + 4*h**2 + 2*h - 7*h**3 + 6*h**5 - 4*h**4 = 0?
-1, -1/3, 0, 1
Let p = 503/750 - 1/250. Solve 2/3 - 2/3*n**3 + p*n - 2/3*n**2 = 0.
-1, 1
Factor 9/4 + 1/4*x**2 + 3/2*x.
(x + 3)**2/4
Let d = -9 + -9. Let k be (-16)/(-6)*d/(-56). Determine s so that -4/7*s**2 + k*s - 2/7 + 6/7*s**4 - 2/7*s**5 - 4/7*s**3 = 0.
-1, 1
Solve -5 + 8 - 3 - 4*f**3 = 0 for f.
0
Let x(s) be the third derivative of 0*s + 0*s**3 + 0*s**6 - 3/80*s**5 + 1/16*s**4 - 6*s**2 + 1/280*s**7 + 0. Factor x(n).
3*n*(n - 1)**2*(n + 2)/4
Let l(m) be the third derivative of 2*m**7/105 - 2*m**5/15 + 2*m**3/3 + 5*m**2. Factor l(u).
4*(u - 1)**2*(u + 1)**2
Let -15/2*z - 21/2*z**3 - 33/2*z**2 - 3/2*z**4 + 0 = 0. What is z?
-5, -1, 0
Suppose 0 = -4*b - 2*i + 110, -4*i - 3 = -5*i. Let z = b - 22. Solve 0*h**3 + 1/3*h**2 + 0*h - 1/6 - 1/6*h**z = 0.
-1, 1
Suppose 0 = -a - 3 + 1. Let z be (-7 - -6)*(-3 - a). F