late d.
-2, 0, 3
Let r(b) be the third derivative of b**8/48 + 19*b**7/210 - 9*b**6/40 - 43*b**5/60 + 7*b**4/3 - 2*b**3 - 4*b**2 - 7*b. Suppose r(p) = 0. Calculate p.
-3, -2, 2/7, 1
Let d = -699 - -1399/2. Factor -d*r - 1/3 + 0*r**2 + 1/6*r**3.
(r - 2)*(r + 1)**2/6
Suppose 0 - 2*n**3 + 0*n - 1/4*n**5 - n**2 - 5/4*n**4 = 0. Calculate n.
-2, -1, 0
Suppose -i + 6*i = 5. Factor -3 - 21*r**2 + 4*r - 14*r - i - 10*r.
-(3*r + 2)*(7*r + 2)
Let b = -13 + 16. Solve 0*q**3 + 4 + 6*q**2 + 10*q + 3*q**3 - q**4 - q**4 - 5*q**b = 0 for q.
-1, 2
Find k such that -45/4*k**3 + 225/4*k**4 + 0*k + 3/4*k**2 - 375/4*k**5 + 0 = 0.
0, 1/5
Factor -7 + 2*a**2 - 2 - 2*a + 5.
2*(a - 2)*(a + 1)
Let i = 209/2 - 37619/360. Let t(l) be the third derivative of 0 + 2*l**2 + i*l**6 + 0*l**4 + 0*l**3 + 0*l - 1/180*l**5. Solve t(w) = 0 for w.
0, 1
Let o(r) = r**2 - 4*r. Let v be o(4). Let h be (12/(-10))/(12/(-80)) - 4. Factor 2/9*j**h + 0*j + 0*j**2 + 2/9*j**3 + v.
2*j**3*(j + 1)/9
Let w = -19 - -18. Let x be 5/(w/((-8)/20)). Suppose 1/3*n + 0 + 1/6*n**x = 0. Calculate n.
-2, 0
Suppose -11 - 7 = -9*y. Factor 2/9*b**3 + 0 - 4/9*b**y + 0*b.
2*b**2*(b - 2)/9
Let l(v) = -9*v**2 + 45*v - 46. Let s(x) = 3*x**2 - 15*x + 15. Let r(w) = -3*l(w) - 8*s(w). Factor r(a).
3*(a - 3)*(a - 2)
Factor -11/3*o**2 + 20/3*o + 4/3.
-(o - 2)*(11*o + 2)/3
Let b(h) be the first derivative of -2*h**5/5 - 3*h**4/2 - 2*h**3 - h**2 - 2. Factor b(r).
-2*r*(r + 1)**3
Let g(s) be the first derivative of -s**6/120 + s**4/8 - s**3/3 + 5*s**2/2 - 6. Let m(t) be the second derivative of g(t). Factor m(h).
-(h - 1)**2*(h + 2)
Suppose -1 = 24*b - 1. Determine v so that b*v - 8/5 - 2/5*v**3 + 6/5*v**2 = 0.
-1, 2
Let h be 5 + 99/(-55) + 1*4. Factor -8/5 + h*d**3 + 8*d - 66/5*d**2.
2*(2*d - 1)*(3*d - 2)**2/5
Find g, given that 4/11*g**2 + 0 + 6/11*g**3 + 2/11*g**4 + 0*g = 0.
-2, -1, 0
Suppose 0 = 5*k, 0 = -u + 32*k - 30*k. Determine x so that 0 - 9/2*x**5 + u*x**2 + 21/2*x**4 - 3*x**3 + 0*x = 0.
0, 1/3, 2
Let k(a) be the third derivative of -5*a**8/2352 + 11*a**7/1470 - a**6/420 - 33*a**2. Factor k(c).
-c**3*(c - 2)*(5*c - 1)/7
Factor 5*o + 30*o**4 + 27*o**2 - 43*o**2 - 55*o**3 + 36*o**2.
5*o*(o - 1)**2*(6*o + 1)
Let k(f) = -6*f**5 - 8*f**4 - 10*f**3 - 8*f**2 + 8*f - 8. Let r(p) = p**5 + p**4 + p**3 + p**2 - p + 1. Let o(s) = k(s) + 8*r(s). Solve o(j) = 0.
-1, 0, 1
Let x(t) be the third derivative of -t**8/20160 + t**7/2520 - t**6/720 - t**5/30 - t**2. Let u(r) be the third derivative of x(r). Factor u(s).
-(s - 1)**2
Let j(p) = 9*p**3 + 6. Let a(m) be the first derivative of -19*m**4/4 - m**3/3 - 11*m + 4. Let r(d) = -6*a(d) - 11*j(d). What is k in r(k) = 0?
-2/5, 0
Let l(h) be the second derivative of -h**7/14 - h**6/10 + 3*h**5/20 + h**4/4 + 9*h. What is t in l(t) = 0?
-1, 0, 1
Let p = 199/2370 + -4/79. Let v(s) be the third derivative of 0 + 0*s**3 - p*s**5 + 0*s + 1/6*s**4 + 3*s**2. Factor v(w).
-2*w*(w - 2)
Suppose -3*a = t - 9, 3*t - 3*a + 0 = 3. Let k(i) be the second derivative of -1/18*i**t + 0*i**2 + 1/60*i**5 - 2*i + 0 + 0*i**4. Factor k(n).
n*(n - 1)*(n + 1)/3
Let b(y) be the first derivative of y**6/200 + y**5/50 + y**4/40 - 3*y**2 - 1. Let f(m) be the second derivative of b(m). Factor f(l).
3*l*(l + 1)**2/5
Let t(y) be the first derivative of -3 + 0*y + 1/16*y**4 + 0*y**2 + 1/12*y**3. Factor t(z).
z**2*(z + 1)/4
Let u(q) be the first derivative of -3*q**4/16 + q**3/4 + 3*q**2/8 - 3*q + 4. Let d(o) be the first derivative of u(o). Solve d(x) = 0.
-1/3, 1
Let y(u) be the first derivative of u**6/20 + 9*u**5/40 + 3*u**4/8 + u**3/4 - 3*u + 6. Let k(x) be the first derivative of y(x). Suppose k(j) = 0. Calculate j.
-1, 0
Let v(z) = -z**2 + 1. Let k(a) = a**4 - 3*a**3 - 5*a**2 - a + 8. Let b(l) = 5*k(l) - 40*v(l). Suppose b(p) = 0. What is p?
0, 1
Factor -48/5*v + 2/5*v**2 + 288/5.
2*(v - 12)**2/5
Let u(f) be the second derivative of -21*f**5/20 + f**4/2 + 7*f**3/2 - 3*f**2 + 14*f. Solve u(m) = 0.
-1, 2/7, 1
Factor 2 - 6*j**3 + 2*j**3 - 2*j**4 + 2*j**4 - 2*j**4 + 4*j.
-2*(j - 1)*(j + 1)**3
Let z be 2*2/((-12)/(-9)). Factor 0 + 1/3*s**4 + 1/3*s**2 - 2/3*s**z + 0*s.
s**2*(s - 1)**2/3
Find w such that -2*w**2 - w**2 + 4*w + 2*w**3 - 3*w**2 = 0.
0, 1, 2
Let i be (23/3)/((-5)/39). Let k = i + 61. What is w in 4/5 + 2/5*w**2 + k*w = 0?
-2, -1
Let v(u) = 76*u**2 - 84*u - 40. Let f(y) = 1 - 3 - 28*y**2 + 17*y + 13*y**2 + 10. Let b(d) = 16*f(d) + 3*v(d). Factor b(i).
-4*(i - 2)*(3*i + 1)
Suppose 0 = 13*i - 18*i + 15. Factor -i*z + 2*z**3 - 3*z - 2 - 2.
2*(z - 2)*(z + 1)**2
Factor -2*i + 3*i - 6*i**2 + 5*i**2.
-i*(i - 1)
Let j = 11 - 11. Let z(g) be the second derivative of 1/168*g**7 - 1/24*g**4 + 1/60*g**6 + 0*g**2 - 1/24*g**3 + 0 + g + j*g**5. Let z(s) = 0. What is s?
-1, 0, 1
Let l(v) = -6*v**2 - 6*v. Let g = -7 + 12. Let z(k) = k**3 + 12*k**2 + 11*k. Let s(o) = g*l(o) + 3*z(o). Factor s(t).
3*t*(t + 1)**2
Find c such that -36*c**4 - 15*c**4 + 27*c**2 - 44*c**4 - 75*c**5 - 7*c**2 = 0.
-1, -2/3, 0, 2/5
Let p(o) = -2*o**2 + 59*o + 32. Let a be p(30). Factor 2/7*r - 2/7*r**a + 0.
-2*r*(r - 1)/7
Determine w so that 2/7*w**2 + 8/7 + 8/7*w = 0.
-2
Let b(w) be the third derivative of -w**5/60 + w**4/6 - 2*w**3/3 - w**2 - 27*w. Find k, given that b(k) = 0.
2
Factor 0 - 2/13*s**4 - 2/13*s + 2/13*s**3 + 2/13*s**2.
-2*s*(s - 1)**2*(s + 1)/13
Let u be (-22)/72*-7 + -2. Let z(b) be the second derivative of -u*b**4 - 7/18*b**3 + 2*b + 0 - 1/3*b**2. Factor z(x).
-(x + 1)*(5*x + 2)/3
Let b(t) be the third derivative of -1/210*t**7 + 0*t**4 - 4*t**2 + 0*t**3 + 1/60*t**5 + 0*t**6 + 0*t + 0. Suppose b(l) = 0. Calculate l.
-1, 0, 1
Let t(m) = -m**2 - 2*m - 1. Let l(d) = -d**2 + 7*d + 8. Let q(p) = l(p) + 2*t(p). Factor q(n).
-3*(n - 2)*(n + 1)
Let t(w) be the third derivative of -w**7/420 + w**6/90 + w**5/60 - w**4/6 - 2*w**3/3 + 4*w**2. Let b(r) be the first derivative of t(r). Factor b(l).
-2*(l - 2)*(l - 1)*(l + 1)
Let d(f) be the second derivative of -f**6/30 + f**4/4 + f**3/3 + 3*f. Factor d(l).
-l*(l - 2)*(l + 1)**2
Let i = -61 - -187/3. Let d(s) be the first derivative of -5/2*s**2 - i*s**3 - 2*s - 1/4*s**4 + 3. What is r in d(r) = 0?
-2, -1
Let b = -477 - -114481/240. Let i(a) be the third derivative of b*a**6 + 0 + 0*a**3 + 0*a**4 + 4*a**2 + 0*a + 1/60*a**5. Suppose i(q) = 0. Calculate q.
-2, 0
Let a be (-1 - 1 - -9)*1. Suppose -c - a = -3*y - 1, 2*c + 4*y - 8 = 0. Solve -4/7 - 6/7*o + 2/7*o**3 + c*o**2 = 0.
-1, 2
Determine z, given that -4/3*z + 2/9*z**2 + 2 = 0.
3
Let z(m) be the first derivative of -2 + 0*m + 6*m**2 + 4/3*m**3. Find t such that z(t) = 0.
-3, 0
Let u(i) be the third derivative of -i**5/15 + i**4/3 - 2*i**3/3 + 7*i**2. Factor u(n).
-4*(n - 1)**2
Suppose -6/13*g**5 - 14/13*g**4 + 12/13*g**3 + 0 - 16/13*g + 24/13*g**2 = 0. Calculate g.
-2, 0, 2/3, 1
Let x = -118 - -122. Suppose -2/3*m**5 - 10/3*m**2 + 0 + 4/3*m + 2/3*m**x + 2*m**3 = 0. Calculate m.
-2, 0, 1
Let q(b) be the first derivative of 1 + 0*b**2 + 2/3*b - 1/3*b**4 - 2/3*b**3. Factor q(u).
-2*(u + 1)**2*(2*u - 1)/3
Let s(w) be the third derivative of w**6/120 - w**5/10 + w**4/2 - 4*w**3/3 - 13*w**2. Let s(t) = 0. What is t?
2
Let n(o) be the first derivative of o**5/5 + 2*o**4 + 7*o**3 + 11*o**2 + 8*o - 29. Factor n(c).
(c + 1)**2*(c + 2)*(c + 4)
Let d be 1/6 - 1045/(-30). Let m be (-10)/(-25) + (-4)/d. Find v, given that -2/7*v + 2/7 + 2/7*v**3 - m*v**2 = 0.
-1, 1
Let z be 0 - (-3 + -2 + -2). Let c(p) = -p + 9. Let r be c(z). Determine a so that -9*a - 6*a**r + 6*a - 3*a**5 + 6*a**4 + 2*a + 4*a = 0.
-1, 0, 1
Let d(r) be the first derivative of -2*r**5/5 - 4*r**4 - 26*r**3/3 - 6*r**2 - 9. Factor d(i).
-2*i*(i + 1)**2*(i + 6)
Let h(l) be the second derivative of -1/110*l**5 - 2*l + 2/165*l**6 + 0 + 0*l**2 - 2/33*l**3 - 5/66*l**4. Find d such that h(d) = 0.
-1, -1/2, 0, 2
Let i(n) be the third derivative of 0 - 1/12*n**4 - n**2 + 1/60*n**6 + 0*n**5 + 0*n**3 + 0*n. Suppose i(l) = 0. Calculate l.
-1, 0, 1
Let w = -10/23 + 83/138. Let f(k) be the first derivative of 0*k + 0*k**2 + 1 + 1/8*k**4 + w*k**3. Let f(h) = 0. Calculate h.
-1, 0
Determine l, given that -5*l**3 + 18*l**3 + 12*l**2 - 6*l**3 - 9*l**3 = 0.
0, 6
Let w(p) = -p**2 - 3*p**4 + 7 - 2*p**2 + 4*p**2 - 5*p**2. Let h(s) = -2*s**4 - 3*s**2 + 5. Let r(t) = 7*h(t) - 5*w(t). Suppose r(j) = 0. What i