y*b + 1/3 = 0 for b.
1
Let i(m) = -m**2 + 13*m - 10. Let h be i(11). Factor 3*d + 90 + 15*d**2 + h*d**3 - 90.
3*d*(d + 1)*(4*d + 1)
Suppose g = 3*g - 4. Let a(l) be the second derivative of -l**g + 0 - l**3 + 1/5*l**6 - 2*l + 1/5*l**5 + 1/21*l**7 - 1/3*l**4. Let a(r) = 0. Calculate r.
-1, 1
Let y(g) = g**3 - 11*g**2 - g + 13. Let d be y(11). Factor -4*i**3 + 4 - i + d*i + 3*i - 4*i**2.
-4*(i - 1)*(i + 1)**2
Let t(l) be the third derivative of 3/20*l**5 + 2*l**2 + 0 + 1/4*l**4 + 0*l**3 - 9/40*l**6 + 0*l. Factor t(m).
-3*m*(3*m - 2)*(3*m + 1)
Let b(n) be the second derivative of 1/20*n**4 + 0 + 3*n + 2/5*n**2 + 4/15*n**3. Solve b(u) = 0 for u.
-2, -2/3
Factor 7*m**3 - 12*m**3 + m**3 + 12*m + 8.
-4*(m - 2)*(m + 1)**2
Let b be (0 - (-96)/21) + -4. Factor 2/7 + 2/7*w**2 + b*w.
2*(w + 1)**2/7
Suppose -2*z - d = 2, -3*z + 5*d = -5*z - 10. Suppose 0*x = -3*x + 6. Solve 2/5*n**x + 0 + z*n = 0.
0
Let x(f) be the third derivative of -f**7/2520 + f**5/120 - f**4/8 + 2*f**2. Let n(y) be the second derivative of x(y). Factor n(j).
-(j - 1)*(j + 1)
Factor -4*w + 4/3*w**2 - 4/3 + 4*w**3.
4*(w - 1)*(w + 1)*(3*w + 1)/3
Factor 21/4*p**2 + 3/4*p**5 + 3/2*p + 15/4*p**4 + 0 + 27/4*p**3.
3*p*(p + 1)**3*(p + 2)/4
Let g(f) = -15*f**4 + 4*f**3 + 21*f**2 - 4*f - 11. Let t(y) = -15*y**4 + 3*y**3 + 21*y**2 - 3*y - 12. Let q(a) = -6*g(a) + 5*t(a). Factor q(l).
3*(l - 1)**2*(l + 1)*(5*l + 2)
Let c(g) = 7 - 2*g - 15 + 6. Let s be c(-2). Solve -1/6*x**s + 0 + 0*x = 0 for x.
0
Let b(i) = i**4 - i**2 + i - 1. Let z(u) = u**5 + 8*u**4 + 3*u**3 - 4*u**2 + 5*u - 5. Let a(l) = -5*b(l) + z(l). Factor a(n).
n**2*(n + 1)**3
Let j(n) be the second derivative of -8*n**4/9 + 4*n**3/3 - 3*n**2/4 - 9*n + 3. Find t such that j(t) = 0.
3/8
Let r(l) = -27*l**2 + 49*l - 23. Let o(w) = 9*w**2 - 16*w + 8. Let x(p) = -11*o(p) - 4*r(p). Factor x(b).
(b - 2)*(9*b - 2)
Let h(t) be the second derivative of -t**8/112 - t**7/140 - 2*t**3/3 - 4*t. Let b(a) be the second derivative of h(a). Solve b(u) = 0.
-2/5, 0
Let l(z) be the third derivative of z**5/510 + z**4/68 + 11*z**2. Let l(r) = 0. Calculate r.
-3, 0
Let l(o) = -7*o**2 - 7*o. Let f(d) = 2*d**2 + 5*d + 2*d - 5*d. Let h(x) = -9*f(x) - 2*l(x). Factor h(r).
-4*r*(r + 1)
Let k(d) be the first derivative of -1/3*d**3 + 2/5*d**5 + 1/4*d**4 + 2 + 0*d + 0*d**2. Let k(o) = 0. Calculate o.
-1, 0, 1/2
Let r(b) be the second derivative of 3*b + 1/2*b**2 - 5/36*b**4 + 0 - 1/9*b**3. Factor r(m).
-(m + 1)*(5*m - 3)/3
Let j(f) be the second derivative of f**7/1260 + f**6/1620 + f**3/3 - 2*f. Let a(h) be the second derivative of j(h). Determine z so that a(z) = 0.
-1/3, 0
Let p(j) be the first derivative of 1/3*j**3 + 0*j + 1/4*j**4 + 1/8*j**2 + 3. Determine u so that p(u) = 0.
-1/2, 0
Let h(i) be the third derivative of i**5/140 - 5*i**4/7 + 200*i**3/7 - 5*i**2 + 4*i. Determine b, given that h(b) = 0.
20
Let x be (((-22)/9)/22)/((-1)/30). Suppose x*z**2 - 16/3*z + 8/3 - 2/3*z**3 = 0. Calculate z.
1, 2
Let h be ((-4112)/180)/((-4)/20). Let f = -114 + h. Suppose 2/9*x**2 - 4/9 - f*x = 0. What is x?
-1, 2
Let p(t) be the second derivative of -1/24*t**4 + 4*t + 0 + 0*t**3 + 1/4*t**2. Factor p(w).
-(w - 1)*(w + 1)/2
Let b = -61/2 + 31. Let w(y) be the first derivative of -2 + b*y**2 + 0*y - 1/3*y**3. Factor w(o).
-o*(o - 1)
Let q be 3 + (1 - 4) + -2. Let w(d) = 3*d**2 - 6*d - 2. Let i(s) = 15*s**2 - 30*s - 11. Let c(u) = q*i(u) + 11*w(u). Factor c(k).
3*k*(k - 2)
Solve -118*p**5 + 57*p**5 + p**3 + 60*p**5 + p**2 - p**4 = 0.
-1, 0, 1
Let x be (-76)/5*50/(-4). Let l be x/165 - (-4)/22. Find q, given that -2/9*q**4 - l*q**2 - 2/9 + 8/9*q**3 + 8/9*q = 0.
1
Let s be (-3)/(-9) + (-1)/3. Let v be s + -1 + -1 + 5. What is u in 0*u - 5*u**2 + v*u**2 - 2*u = 0?
-1, 0
Let z be (-2)/6 - (-11)/30. Let x(y) be the second derivative of 0*y**5 - z*y**6 + 1/3*y**3 + 0*y**2 + y + 1/4*y**4 + 0. Solve x(p) = 0.
-1, 0, 2
Let i(g) be the second derivative of 0 - 1/40*g**6 + 0*g**2 + 3/80*g**5 + 1/168*g**7 + 0*g**3 - 1/48*g**4 - 2*g. Let i(q) = 0. What is q?
0, 1
Let r(v) be the second derivative of 0*v**3 + 0 + 0*v**5 - v + 1/126*v**7 + 0*v**4 + 0*v**2 + 1/90*v**6. Factor r(x).
x**4*(x + 1)/3
What is l in -18/5 + 2/5*l**5 + 84/5*l**3 - 116/5*l**2 - 26/5*l**4 + 74/5*l = 0?
1, 9
Let j be 1*(-27*1)/(-3). Factor -2*d + 7*d**5 + 0*d + 6*d**2 - j*d**4 - 5*d**3 + 3*d**2.
d*(d - 1)**2*(d + 1)*(7*d - 2)
Let z = 63 + -755/12. Let u(k) be the first derivative of z*k**3 + k + 1/2*k**2 + 3. Factor u(m).
(m + 2)**2/4
Let d be (4/6)/(4/(-18)). Let i be ((-8)/(-20))/(d/(-15)). Find b, given that -1/2*b**i + b - 1/2 = 0.
1
Let v(n) = -2*n**5 - n**4 + 5*n**3 + 5*n**2. Let m(j) = -j**4 - j**3 + j**2. Let y(x) = m(x) - v(x). Factor y(h).
2*h**2*(h - 2)*(h + 1)**2
Let r(k) be the second derivative of k**6/45 + k**5/10 + k**4/9 - 10*k. Find u, given that r(u) = 0.
-2, -1, 0
Let h be (-1468)/10*3/2. Let b = -219 - h. What is g in -2/5*g**2 + b*g - 4/5 = 0?
1, 2
Find k such that 3/2 - 9/2*k + 39/8*k**2 - 9/4*k**3 + 3/8*k**4 = 0.
1, 2
Let u(s) = s**3 + 5*s**2 - 5*s + 8. Suppose 17 + 7 = -3*j - 2*a, 3*j + 5*a + 33 = 0. Let x be u(j). Determine t so that x*t**2 + 0 - 1 + 4*t + 3 = 0.
-1
Let c(s) be the first derivative of -2*s**6/3 + 4*s**5 - 9*s**4 + 28*s**3/3 - 4*s**2 + 12. What is n in c(n) = 0?
0, 1, 2
Let y(p) be the second derivative of p**7/273 - p**6/195 - p**5/65 + p**4/39 + p**3/39 - p**2/13 - 15*p. Factor y(i).
2*(i - 1)**3*(i + 1)**2/13
Let h be 166/50 - (0 - -2). Let y = -3/25 + h. Factor -y*r**4 + 6/5*r**3 - 2/5*r**2 + 0*r + 0 + 2/5*r**5.
2*r**2*(r - 1)**3/5
Factor 3/2*g**2 + 0 + 24*g.
3*g*(g + 16)/2
Let s(x) be the first derivative of -1 + 4/3*x**2 + 2/3*x**3 + 2/3*x. Solve s(j) = 0 for j.
-1, -1/3
Let l(a) be the second derivative of 0*a**2 - 1/130*a**5 - 2/39*a**3 + 0 + 1/26*a**4 + 2*a. Factor l(z).
-2*z*(z - 2)*(z - 1)/13
Let m(q) be the second derivative of -2*q**6/5 - 16*q**5/5 - 17*q**4/3 - 8*q**3/3 - 2*q. Factor m(t).
-4*t*(t + 1)*(t + 4)*(3*t + 1)
Let l be 1/((-1)/((-4)/8)). Let k(x) be the first derivative of -1 + 0*x - l*x**2 - 1/3*x**3. Suppose k(j) = 0. What is j?
-1, 0
Let h(q) be the third derivative of 0*q + 0*q**3 + 0*q**4 - 1/40*q**5 + 0 + 1/80*q**6 + 4*q**2 + 1/140*q**7 - 1/224*q**8. Factor h(b).
-3*b**2*(b - 1)**2*(b + 1)/2
Let s be 10*(0 + 2/5). Let u(g) be the second derivative of 1/3*g**3 - g**2 + 0 + 1/21*g**7 + 1/3*g**s + g - 1/15*g**6 - 1/5*g**5. Let u(f) = 0. What is f?
-1, 1
Let r(z) be the first derivative of z**6/120 + z**5/20 + z**4/8 + z**3/6 - z**2/2 + 3. Let f(u) be the second derivative of r(u). Factor f(s).
(s + 1)**3
Let f be (4/14*-3)/(12/(-42)). Factor 0*g - 1/2*g**4 + 0*g**2 - g**f + 0.
-g**3*(g + 2)/2
Let p(l) be the third derivative of l**6/120 + l**5/15 + 5*l**4/24 + l**3/3 - 9*l**2. Factor p(a).
(a + 1)**2*(a + 2)
Let o(h) be the first derivative of 3*h**5/4 + 9*h**4/8 + h**3/4 - 4. Factor o(n).
3*n**2*(n + 1)*(5*n + 1)/4
Let b be (25/(-330))/((-12)/64). Let g = b + -2/9. Suppose 0 - 4/11*l**2 + 0*l + g*l**3 = 0. What is l?
0, 2
Suppose -5*w = -3*n + 5*n + 240, 0 = -3*n + w - 360. Let t = 602/5 + n. Determine v, given that -4/5*v**3 - 4/5*v**2 + 2/5*v**5 + 2/5 + t*v**4 + 2/5*v = 0.
-1, 1
Let l be 2/(-6) + -2 - (-3 + 0). Factor 0 + 0*d - l*d**3 + 2/3*d**2.
-2*d**2*(d - 1)/3
Solve 14 + d**2 - 7 + 1499*d - 1491*d = 0 for d.
-7, -1
Let b(d) be the second derivative of d**5/10 + d**4/8 - d**3/2 - 5*d**2/2 + 5*d. Let l(z) be the first derivative of b(z). Factor l(f).
3*(f + 1)*(2*f - 1)
Let n(o) be the third derivative of 1/16*o**4 - 1/80*o**6 + 0 + 4*o**2 + 0*o - 1/4*o**3 + 1/40*o**5. Find u such that n(u) = 0.
-1, 1
Let x(t) be the first derivative of 5*t**4/22 + 6*t**3/11 + 3*t**2/11 - 2*t/11 - 16. Factor x(b).
2*(b + 1)**2*(5*b - 1)/11
Let y(a) be the second derivative of -a**7/210 + a**6/120 + a**5/60 - a**4/24 - 2*a**2 + a. Let v(n) be the first derivative of y(n). Let v(q) = 0. Calculate q.
-1, 0, 1
Let b be (-96)/(-64) - 4/(-8). Solve 2/5*s**3 + 0 + 3/5*s**4 + 0*s + 1/5*s**5 + 0*s**b = 0 for s.
-2, -1, 0
Suppose 3*b = -2 + 11. Suppose i + l - 6 = 0, 0*l - 14 = -b*i + l. Let 1 + 4 - i + v**2 + 3*v**3 = 0. Calculate v.
-1/3, 0
Let d(t) be the first derivative of t**6/24 - t**5/10 + t**3/6 - t**2/8 - 10. Factor d(g).
g*(g - 1)**3*(g + 1)/4
Factor -32/3