) be the third derivative of d**8/171360 - d**7/21420 - d**5/30 - 8*d**2. Let t(k) be the third derivative of r(k). Factor t(g).
2*g*(g - 2)/17
Suppose -3*d + 4*b = 10, -3*b = -2*d - 7*b + 20. Let o = -1/50 - -13/25. Factor -1/2*a**d + 0 - o*a.
-a*(a + 1)/2
What is z in 0*z + 1/4*z**3 - 3/4*z**4 - z**5 + 0*z**2 + 0 = 0?
-1, 0, 1/4
Let g(h) = h**3 - 5*h**2 + 3*h + 8. Let f be g(4). Let -6*p - p + f*p + 3*p**3 = 0. What is p?
-1, 0, 1
Let q(k) be the second derivative of -k**4/60 + k**3/5 - 9*k**2/10 + 9*k. Factor q(f).
-(f - 3)**2/5
Suppose 4*i + n = 2, 2*n = -i + n + 2. Factor -m**2 - m**2 + 0*m + i*m + 2*m**4.
2*m**2*(m - 1)*(m + 1)
Let p(l) be the first derivative of -1/8*l**2 + 1/20*l**5 + 2 + 1/8*l**4 - 1/24*l**6 + 1/4*l - 1/6*l**3. Factor p(u).
-(u - 1)**3*(u + 1)**2/4
Suppose -2*q - 39 = 5*m, -m + 3*q + 10 - 28 = 0. Let l(d) = -d - 5. Let r be l(m). Factor 0*a + 1/4*a**3 - 1/4*a**r + 0*a**2 + 0.
-a**3*(a - 1)/4
Let l = -56/15 - -22/5. Factor 0 + 8/3*u**2 + l*u**3 + 8/3*u.
2*u*(u + 2)**2/3
Let f(v) be the first derivative of 3*v**5 + 9*v**4/4 - 2*v**3 - 7. Let f(b) = 0. What is b?
-1, 0, 2/5
Let s(i) = -2*i - 10. Let w be s(-7). Suppose -w*h = -h - 6. Factor -o**4 - 2*o**4 + h*o**4 - o**5.
-o**4*(o + 1)
Suppose 2*a + 12 - 2 = 3*o, 0 = 5*a + 10. Factor 4*n**5 - 3*n**2 + 0*n**5 + 16*n**2 + 12*n**3 - 9*n**o + 12*n**4.
4*n**2*(n + 1)**3
Let u(o) be the third derivative of o**7/105 - o**6/36 + o**5/60 - o**3 - 2*o**2. Let g(s) be the first derivative of u(s). Find d, given that g(d) = 0.
0, 1/4, 1
Let l(z) = 70*z**3 - 240*z**2 - 223*z - 48. Let v(n) = 279*n**3 - 960*n**2 - 891*n - 192. Let w(c) = 21*l(c) - 5*v(c). Suppose w(i) = 0. Calculate i.
-2/5, 4
Let q be 2/(-3)*58/(-16) + -1. Let c(t) be the second derivative of 3*t + 40/63*t**7 + q*t**5 - 5/6*t**3 + 0 + 28/15*t**6 - 4/9*t**4 - 1/3*t**2. Solve c(x) = 0.
-1, -1/4, 2/5
Let c be ((-7)/6)/7*-4. Solve -c*l - 4/9 - 2/9*l**2 = 0.
-2, -1
Let q = -5384/5 + 1077. Determine h so that -1/5*h**3 - 2/5*h**4 - q*h**5 + 0*h**2 + 0 + 0*h = 0.
-1, 0
Let g(p) be the second derivative of p**5/180 - p**3/18 - 3*p**2/2 + 3*p. Let h(c) be the first derivative of g(c). Solve h(j) = 0.
-1, 1
Let y(t) be the third derivative of t**6/480 + t**5/80 + t**4/32 + t**3/24 - 12*t**2. Solve y(s) = 0.
-1
Let f(n) be the third derivative of -n**6/180 - n**5/45 + 7*n**4/36 - 4*n**3/9 + 3*n**2. What is x in f(x) = 0?
-4, 1
Suppose -3*j + 5*g + 6 = 0, -3*j - 2*g - 3*g - 24 = 0. Let l = j + 6. Factor -2/5*o**5 - 2/5*o + 0*o**4 + 0 + 4/5*o**l + 0*o**2.
-2*o*(o - 1)**2*(o + 1)**2/5
Let s(m) = m**2 - 7*m + 10. Let a be s(2). Factor -1/5*z - 1/5*z**2 + a.
-z*(z + 1)/5
Let c be (-9)/(-2) + 9/6. Let d(y) = -y**4 - y**3 + y**2 + y + 3. Let s(v) = v**4 + v**3 - v**2 - v - 2. Let l(q) = c*s(q) + 4*d(q). Solve l(j) = 0 for j.
-1, 0, 1
Let y be (6/24)/(3/4). Let t(d) be the first derivative of 0*d + 1/5*d**5 + y*d**3 + 0*d**2 + 1/2*d**4 + 2. Find i, given that t(i) = 0.
-1, 0
Let r(k) = -k**2 + 3*k + 3. Let p be r(3). Suppose 2*q + q + p = -4*b, 4*b - 1 = q. Factor -1/4*i**3 + b + 0*i + 1/4*i**2.
-i**2*(i - 1)/4
Let g be 15/56 + (-1)/8. Let i(y) be the first derivative of 2/7*y - 1/14*y**4 - 2/21*y**3 + 3 + g*y**2. What is f in i(f) = 0?
-1, 1
Let o(x) be the second derivative of -x**6/105 + 2*x**5/35 - x**4/14 - 4*x**3/21 + 4*x**2/7 + 9*x. Let o(i) = 0. What is i?
-1, 1, 2
Let r(d) be the first derivative of 1/5*d**3 - 3/20*d**4 + 0*d - 2 - 1/10*d**2 + 1/25*d**5. Factor r(o).
o*(o - 1)**3/5
Let f be (-3)/5 + 168/180. Let -s + 1/3 - f*s**3 + s**2 = 0. Calculate s.
1
Let g(y) be the first derivative of -2*y**5/5 + 5*y**4/6 - 14*y**3/27 + y**2/9 - 7. Suppose g(d) = 0. Calculate d.
0, 1/3, 1
Let o(x) = 3*x - 3. Let l be o(2). Let k(z) be the first derivative of -1/2*z**4 + 2*z**3 - l*z**2 + 2 + 2*z. Find v, given that k(v) = 0.
1
Let q = -1/57 + 59/114. What is k in -3*k**3 - 1/2*k**2 + q*k + 0 = 0?
-1/2, 0, 1/3
Let u be ((-1804)/(-234) - 6) + (-2)/13. What is b in 4/9*b**4 - 14/9*b - u*b**5 + 28/9*b**3 + 4/9 - 8/9*b**2 = 0?
-1, 2/7, 1
Solve -95*l**4 - 40*l**3 + 35*l**5 + 30*l - 8*l**3 + 95*l**2 - 17*l**3 = 0 for l.
-1, -2/7, 0, 1, 3
Let a = 6/113 - -315/452. Factor -1/4*o**3 - a*o**2 + 1 + 0*o.
-(o - 1)*(o + 2)**2/4
Let q = 297 - 297. Suppose 8/11*v**4 + q - 2/11*v + 6/11*v**5 - 4/11*v**3 - 8/11*v**2 = 0. Calculate v.
-1, -1/3, 0, 1
Let c = 7 + -11. Let w be (-6)/((-2)/c*-4). Suppose 2*g - 4*g**3 + 2*g**3 + 3*g**3 - 3*g**w = 0. Calculate g.
-1, 0, 1
Suppose -5*j + 4*h + 37 = -0*h, 3*j = 5*h + 30. Factor 0*b**4 + 0 + 4/3*b**3 + 0*b**2 - 2/3*b**j - 2/3*b.
-2*b*(b - 1)**2*(b + 1)**2/3
Let u(k) be the third derivative of 0*k**5 + 0*k + 3*k**2 + 1/120*k**6 - 1/84*k**7 + 0 + 0*k**4 + 1/224*k**8 + 0*k**3. Let u(g) = 0. Calculate g.
0, 2/3, 1
Let d(r) = -r - 1. Let q(y) = -y**2 + 6*y + 6. Let v(t) = -6*d(t) - q(t). Find p such that v(p) = 0.
0
Let o(m) be the second derivative of -m**7/140 - 3*m**6/80 - 3*m**5/40 - m**4/16 - m**2 + m. Let b(w) be the first derivative of o(w). Let b(i) = 0. What is i?
-1, 0
Let f(t) = t**5 - t**4 + 5*t**3 - 7*t**2 - 6*t + 4. Suppose 6*u = 4*u + 2. Let g(o) = o**4 - o**3 + o**2 + o - 1. Let z(n) = u*f(n) + 4*g(n). Factor z(p).
p*(p - 1)*(p + 1)**2*(p + 2)
Factor 11*i**3 + 7*i**3 - 4*i**5 + 7*i**3 - 21*i**3.
-4*i**3*(i - 1)*(i + 1)
Let a(u) be the first derivative of 6*u**5/55 - 12*u**4/11 + 4*u**3 - 72*u**2/11 + 54*u/11 - 35. Suppose a(g) = 0. Calculate g.
1, 3
Let t(o) be the first derivative of o**5/100 - o**4/20 + o**3/10 - o**2/10 + o - 3. Let m(y) be the first derivative of t(y). Suppose m(a) = 0. What is a?
1
Factor 2*u - 5*u**3 + 5*u**4 - 2*u - 37*u**2 + 32*u**2 + 5*u**5.
5*u**2*(u - 1)*(u + 1)**2
Let q(m) be the first derivative of -m**6/120 + m**4/24 - 7*m**2/2 - 5. Let i(r) be the second derivative of q(r). Factor i(b).
-b*(b - 1)*(b + 1)
Solve 8*r + 3*r**2 - 4*r**3 + 9 - r**3 + 7*r + 2*r**3 = 0.
-1, 3
Let s(h) be the second derivative of h**5/5 + h**4/6 - 2*h**3/3 - h**2 - 40*h. Factor s(y).
2*(y - 1)*(y + 1)*(2*y + 1)
Let p(c) be the third derivative of c**7/630 - c**6/360 - c**5/60 + c**4/72 + c**3/9 - 3*c**2 + 4. Factor p(z).
(z - 2)*(z - 1)*(z + 1)**2/3
Suppose 4*u = -2*z - u + 167, -3*u - 240 = -3*z. Let s be 144/z - 4/(-18). Suppose 0 - 2/9*p - 2/9*p**s = 0. What is p?
-1, 0
Let g(n) be the second derivative of n**6/180 + n**5/30 + n**3/2 + 2*n. Let o(d) be the second derivative of g(d). Factor o(z).
2*z*(z + 2)
Suppose -38*c + 28*c + 30 = 0. Let n(z) be the second derivative of 0 + 1/6*z**4 - c*z + 0*z**3 - z**2. What is r in n(r) = 0?
-1, 1
Find w, given that -16 + 2*w**2 - w**2 - 2*w**2 + 8*w = 0.
4
Suppose -3*x = -4*x - 9. Let f = 11 + x. Suppose 3*j - j**f - j**2 + 0 + 3*j - 4 = 0. Calculate j.
1, 2
Let y(m) = -3*m - 22. Let k be y(-8). Find i, given that -2/3*i + 4/3 - 2/3*i**k = 0.
-2, 1
Let i(s) be the second derivative of -5*s**7/42 - s**6/3 + s**5/2 + 10*s**4/3 + 35*s**3/6 + 5*s**2 + 12*s. Factor i(b).
-5*(b - 2)*(b + 1)**4
Let u(c) be the first derivative of 5*c**3 - 9*c**2 + 3*c - 3. Factor u(i).
3*(i - 1)*(5*i - 1)
Let u(p) be the first derivative of 2*p**5/55 - 2*p**3/33 + 3. Factor u(b).
2*b**2*(b - 1)*(b + 1)/11
Let z = 584/99 + -60/11. Factor -4/9 + 10/9*n - z*n**3 - 2/9*n**2.
-2*(n - 1)*(n + 2)*(2*n - 1)/9
Let h(f) be the second derivative of -f**7/112 + 3*f**6/80 - 9*f**5/160 + f**4/32 - 20*f. Solve h(v) = 0.
0, 1
Let z be (8/(-2))/(-1 - (-4)/(-12)). Factor 5/2*y**2 + 2*y + 1/2 + y**z.
(y + 1)**2*(2*y + 1)/2
Let f be (16/7840)/((-3)/(-2)). Let u(d) be the third derivative of -1/420*d**6 - 1/210*d**5 + 0 + f*d**7 + 1/84*d**4 + 0*d + 0*d**3 + d**2. Factor u(p).
2*p*(p - 1)**2*(p + 1)/7
Let a(z) = 3*z**4 - 3*z**3 - 3*z**2 + 9*z. Let x(j) = 8*j - j**2 + 2*j**2 + j - 8*j - j**4. Let c(h) = -a(h) + 6*x(h). Let c(r) = 0. What is r?
-1, 0, 1/3, 1
Let y(w) be the first derivative of -w**8/840 + w**7/210 - w**6/180 + w**3 + 5. Let i(t) be the third derivative of y(t). Factor i(h).
-2*h**2*(h - 1)**2
Let -7*p**4 + 15*p**2 - 8*p - 14*p**4 + 6*p**4 - 21*p**5 + 27*p**3 + 2*p = 0. Calculate p.
-1, 0, 2/7, 1
Let t(q) be the first derivative of q**3/6 - q/2 - 4. Factor t(w).
(w - 1)*(w + 1)/2
Let t = -3186/5 - -638. Suppose t*a + 0 + 2/5*a**2 = 0. Calculate a.
-2, 0
Let b be (7 - 2)/(2 - 1).