6/320 + 7*i**5/160 - 19*i**4/192 + i**3/8 + 17*i**2. Solve g(s) = 0.
1, 6
Let b(j) be the first derivative of -3*j**5/10 + 3*j**4/4 - 3*j**2/2 + 3*j/2 - 20. Factor b(z).
-3*(z - 1)**3*(z + 1)/2
Suppose 0 = 3*b - 2*b - 5. Let p(r) be the first derivative of 7*r**2 - 3 + 13/2*r**4 - 10*r**3 - 2*r - 8/5*r**b. Find u, given that p(u) = 0.
1/4, 1
Suppose 0 = 3*v - 7*v + 20. Let f(a) be the second derivative of 0 + 1/10*a**6 + 0*a**3 + 0*a**2 + 3/20*a**v - a + 1/42*a**7 + 1/12*a**4. Factor f(t).
t**2*(t + 1)**3
Suppose 0*s - s - 5*m - 17 = 0, -27 = -5*s + 3*m. Solve -2*a - s*a - a**2 + 3*a = 0 for a.
-2, 0
Let j = -38 + 38. Let i(r) be the third derivative of -1/30*r**6 + 0*r**5 + 1/105*r**7 - 2*r**2 - 1/3*r**3 + j + 1/6*r**4 + 0*r. Find c, given that i(c) = 0.
-1, 1
Suppose -2 = -3*f + 7. Let p(h) = h**3 + 5*h**2 + 3*h - 6. Let q be p(-3). Let -d**q - 2*d**5 + f*d**3 + 0*d**3 = 0. Calculate d.
-1, 0, 1
Suppose 2*s + 256 = 4*s. Factor -8*d + 32*d**2 + 7 - 8 + s*d**3 - 1.
2*(4*d - 1)*(4*d + 1)**2
Let j(d) be the second derivative of -d**7/525 + d**6/600 + d**5/60 + d**4/60 + 2*d**2 - 6*d. Let c(m) be the first derivative of j(m). Factor c(v).
-v*(v - 2)*(v + 1)*(2*v + 1)/5
Let h be 16/36*3/4. Let z(a) be the first derivative of -4/3*a + 4/9*a**3 - h*a**2 + 2 + 1/6*a**4. Let z(i) = 0. What is i?
-2, -1, 1
Let g be (-126)/216*(-2)/420. Let q(z) be the third derivative of 1/36*z**4 + 1/60*z**5 + 0*z**3 + g*z**6 + 0*z + z**2 + 0. Solve q(m) = 0 for m.
-2, -1, 0
Let h(o) = 3*o**2 + 7*o + 5. Let u(g) = 2*g**2 + 3*g + 6 + g**2 + g**2 + 5*g. Let k(a) = 6*h(a) - 5*u(a). Factor k(r).
-2*r*(r - 1)
Solve 33*b + 9 - 4 + 13 + 54*b + 27*b**2 = 0 for b.
-3, -2/9
Let m(v) = 6*v**3 - 8*v**4 - 5*v - 8*v + 8 - 18 + 3*v. Let f be 1/((-4)/(39 + 1)). Let s(a) = a**4 - a**3 + a + 1. Let t(l) = f*s(l) - m(l). Factor t(n).
-2*n**3*(n - 2)
Determine d, given that 0 - 2/9*d**3 + 2/9*d + 2/9*d**2 - 2/9*d**4 = 0.
-1, 0, 1
Let k = -16 + 16. Let x(b) be the first derivative of k*b + 1/2*b**4 - 4/9*b**3 + 1/18*b**6 - 4/15*b**5 + 1/6*b**2 - 1. Let x(h) = 0. What is h?
0, 1
Suppose -15*o + 70*o**2 - 96*o**2 + 46*o**2 - 5 = 0. Calculate o.
-1/4, 1
Let l(r) = 2 - 6 + 2*r + 2. Suppose v - 4*v = -s - 7, 2*s - 2*v = -6. Let c(a) = -a**3 - a**2 + a - 1. Let f(i) = s*l(i) + 2*c(i). Factor f(t).
-2*t**2*(t + 1)
Let w(k) be the third derivative of 3*k**8/112 - 2*k**7/35 - k**6/40 + k**5/10 - 7*k**2. Factor w(f).
3*f**2*(f - 1)**2*(3*f + 2)
Let v(c) be the third derivative of -c**5/12 + 5*c**4/3 - 40*c**3/3 + 2*c**2. Factor v(f).
-5*(f - 4)**2
Let m = -521 + 524. Find o, given that -20/7*o**2 + 2/7*o**5 - 10/7*o**4 + 20/7*o**m - 2/7 + 10/7*o = 0.
1
Factor 0*o**3 + 1/4*o**2 - 1/4*o**4 + 0 + 0*o.
-o**2*(o - 1)*(o + 1)/4
Let c(m) = m - 2. Let s be c(4). Suppose 2*y**2 - s*y**2 + 4*y**3 - 2*y + 0*y**3 - 2*y**5 = 0. Calculate y.
-1, 0, 1
Factor -2/7*a**2 - 2/7*a**4 + 0*a + 0 + 4/7*a**3.
-2*a**2*(a - 1)**2/7
Suppose 3*k**4 + 27 - 27 + 6*k**3 = 0. Calculate k.
-2, 0
Let n be -4*(35/(-5))/84. Factor -1/3*y**3 - 1/3*y**2 + n + 1/3*y.
-(y - 1)*(y + 1)**2/3
Let 2*v**2 + 2*v - 2*v**4 + 0 - 7/2*v**3 + 3/2*v**5 = 0. What is v?
-1, -2/3, 0, 1, 2
Let f(g) be the second derivative of -g**5/4 + 25*g**4/12 - 2*g + 12. Suppose f(w) = 0. What is w?
0, 5
Let c(l) be the first derivative of l**3 - 2*l**2 - 4 - l**2 - 2*l**3. Factor c(o).
-3*o*(o + 2)
Let k(f) = -f**3 + 8*f**2 - 14*f - 3. Let h be k(3). Solve -14/5*i**2 + 2/5*i**5 + h - 2*i**4 + 18/5*i**3 + 4/5*i = 0.
0, 1, 2
Find f, given that 0 + 3/2*f**3 + 3/4*f**4 + 0*f + 0*f**2 = 0.
-2, 0
Let i(p) be the third derivative of p**6/780 - p**5/130 + 4*p**3/39 - p**2. Factor i(y).
2*(y - 2)**2*(y + 1)/13
Let l(v) be the second derivative of v**4/24 + v**3/3 + v**2 + 7*v. Factor l(j).
(j + 2)**2/2
Let z = -584/45 - -13. Let f(a) be the third derivative of 7/72*a**8 + 0*a**3 + 0*a**5 + 4/45*a**7 + 0*a + z*a**6 + 0 + a**2 + 0*a**4. Factor f(y).
2*y**3*(7*y + 2)**2/3
Factor 2*l**2 - 8*l**4 + 3*l + 2/3 - 20/3*l**3.
-(2*l + 1)**3*(3*l - 2)/3
Let t(a) be the third derivative of a**5/75 + a**4/10 + 3*a**3/10 + 18*a**2. Factor t(s).
(2*s + 3)**2/5
Let g(x) = x + 8. Let i be g(-8). Suppose i*c + 4*c = 8. Factor 0 - 22/7*p**4 - 30/7*p**3 - 18/7*p**c - 4/7*p - 6/7*p**5.
-2*p*(p + 1)**3*(3*p + 2)/7
Let p(g) = -g**3 + 6*g**2 + 7*g + 3. Let j be p(7). Let h = j - -1. What is b in -6*b**3 - b**5 + b**2 + 0*b**2 + 4*b**h + 3*b**2 - b = 0?
0, 1
Let h(y) be the second derivative of y**6/270 + y**5/36 + y**4/18 - 3*y. Let h(k) = 0. Calculate k.
-3, -2, 0
Suppose -86*c + 48*c + 76 = 0. Solve 2/7*d**3 - 6/7*d**c + 8/7 + 0*d = 0.
-1, 2
Let l = -175 + 1055/6. Let v(k) be the second derivative of l*k**4 + 0 - 1/6*k**3 + k - 3/2*k**2. Factor v(o).
(2*o + 1)*(5*o - 3)
Let y(s) be the second derivative of -7/20*s**4 + 0 + 3/2*s**3 + 3/100*s**5 - 27/10*s**2 + 2*s. Factor y(p).
3*(p - 3)**2*(p - 1)/5
Let q(t) be the first derivative of t**3/9 - t**2/6 - 2*t/3 - 39. Factor q(c).
(c - 2)*(c + 1)/3
Let g = -18 - -109/6. Let r(w) be the first derivative of -g*w**3 - 1/2*w - 1/2*w**2 + 3. Factor r(f).
-(f + 1)**2/2
Let v be ((-948)/(-80))/(-3) + 4. Let h(y) be the first derivative of 1/24*y**6 - v*y**5 - 1/8*y**4 + 2 + 1/8*y**2 + 1/6*y**3 - 1/4*y. Factor h(f).
(f - 1)**3*(f + 1)**2/4
Let d(a) = 5*a**2 + 3*a**3 - a + 5*a + 3 - 2*a**3. Let y be d(-4). Factor 8*f**3 - 3*f**y + 5*f**3 + 4*f**2 + 6*f**4.
2*f**2*(f + 1)*(3*f + 2)
Factor 0*i + 6/7*i**3 + 2/7*i**4 + 4/7*i**2 + 0.
2*i**2*(i + 1)*(i + 2)/7
Let d(b) be the second derivative of b**7/42 - 23*b**6/30 + 19*b**5/2 - 329*b**4/6 + 833*b**3/6 - 343*b**2/2 - 8*b. Factor d(o).
(o - 7)**3*(o - 1)**2
Let u = 15 + 5. Suppose -5*t = 3*d - 32, 0 = -t - 0*d - 4*d + u. Factor 2*h**4 + 2*h + 6*h**3 - t*h**4 - 4*h**2 - 2*h**2.
-2*h*(h - 1)**3
Let m = 6631/336 - 138/7. Let u(o) be the third derivative of 0*o**3 + 1/240*o**6 - o**2 + m*o**4 - 1/60*o**5 + 0*o + 0. Factor u(p).
p*(p - 1)**2/2
Let m(g) be the first derivative of -1/3*g**3 + 6 + 0*g + 0*g**2. Suppose m(o) = 0. Calculate o.
0
Suppose -16/5 + 0*q**2 + 1/5*q**4 + 4/5*q**3 - 16/5*q = 0. What is q?
-2, 2
Let h(v) be the first derivative of 0*v**2 - 7 + 0*v + 4/65*v**5 - 1/26*v**4 + 0*v**3 - 1/39*v**6. Determine u so that h(u) = 0.
0, 1
Let j = 47 - 140/3. Factor j*r**3 + 0*r - 1/3*r**4 + 0*r**2 + 0.
-r**3*(r - 1)/3
Let g = 10/3 + -2. Find l, given that 1/3 + g*l**4 - 4/3*l**3 - l**2 + 2/3*l = 0.
-1/2, 1
Factor 7/3*v + 2*v**2 - 1/3*v**3 + 0.
-v*(v - 7)*(v + 1)/3
Let m(b) be the third derivative of 0 + 0*b**3 + 1/240*b**6 + 1/840*b**7 - 4*b**2 + 0*b**4 + 0*b + 1/240*b**5. Find i such that m(i) = 0.
-1, 0
Suppose -4*o + 5*s + 4 = -2, 0 = -3*o + 2*s + 8. Let d = 1996/7 - 284. Factor -8/7*k - 2/7*k**o - 12/7*k**2 - d*k**3 - 2/7.
-2*(k + 1)**4/7
Suppose 76 = z - 32. Let n = -538/5 + z. Let 0 + 2/5*r**2 + 0*r - n*r**3 = 0. Calculate r.
0, 1
What is w in 16/5*w - 2/5*w**2 - 32/5 = 0?
4
Suppose -4*d + 8*d - 16 = 0. Let z(c) be the second derivative of -2*c + 2*c**2 - 5/3*c**3 + 2/3*c**d + 0 - 1/10*c**5. Factor z(n).
-2*(n - 2)*(n - 1)**2
Let t be 4 + -1 - (-7)/6. Let d = -11/6 + t. Find y such that 2/3*y - d*y**2 + 0 = 0.
0, 2/7
Factor -1 - 5/7*h**2 - 1/7*h**3 + 13/7*h.
-(h - 1)**2*(h + 7)/7
Factor -8/9 - 20/3*k - 52/9*k**2.
-4*(k + 1)*(13*k + 2)/9
Let t(l) be the first derivative of 2*l**5/5 + 5*l**4/2 + 16*l**3/3 + 4*l**2 + 4. Determine r so that t(r) = 0.
-2, -1, 0
Let p(d) = 59*d**3 + 13*d**2 - 8*d + 11. Let j(k) = -20*k**3 - 4*k**2 + 3*k - 4. Let l(g) = -11*j(g) - 4*p(g). Factor l(s).
-s*(4*s + 1)**2
What is r in 1/4*r**3 + 1/4*r + 0 + 1/2*r**2 = 0?
-1, 0
Let f(q) = q**2 + 2*q. Suppose -4*i = 4, -p + i + i = 0. Let b be f(p). Suppose -y**3 - 3 + b*y**3 - y + 3 + 2*y**2 = 0. What is y?
0, 1
Let d = -345/26 - 3899/52. Let f = 89 + d. Factor 3/2*j**2 - f*j - 3/4.
3*(j - 1)*(2*j + 1)/4
Let w(q) be the third derivative of 0 - q**2 + 0*q**3 - 1/840*q**8 + 0*q + 2/525*q**7 + 0*q**4 - 1/300*q**6 + 0*q**5. Let w(a) = 0. Calculate a.
0, 1
Suppose -23 + 5 = -2*k. Let f be 8/24 + (-1)/k. Factor -4/9*c - 2/9 - f*c**2.
-2*(c + 1)**2/9
Let h(o) = -o**2 + o. Let b be h(-1). Let p be (-20)/(-25)*b/(-4). Factor 2/5*l - p*l**3 + 2/5*l**2 - 2/5.
-2*(l - 1)**2*(l + 1)/5
Let w(a) = -5*a**3 - a**2 + 7*a + 3. Let k(b) = b**3 + b**2