/9*p**2 + 2/9*p**4 + 0*p.
2*p**2*(p + 1)**2/9
Let z(s) be the first derivative of s**7/210 + s**6/120 - s**5/20 - 5*s**4/24 - s**3/3 + 5*s**2/2 + 5. Let f(k) be the second derivative of z(k). Factor f(v).
(v - 2)*(v + 1)**3
Let g(x) be the second derivative of 0 + 0*x**3 - 1/24*x**4 + 2*x + 0*x**2 - 1/60*x**6 + 1/20*x**5. Suppose g(h) = 0. What is h?
0, 1
Suppose 0 = 22*o - 19*o - 9. Factor 0*c**2 - 2/5 - 4/5*c**o + 4/5*c + 2/5*c**4.
2*(c - 1)**3*(c + 1)/5
Let d be -5*(-4 - -3) + -1. Let 85*b + 28*b**2 + 16*b**4 - 5*b + 104*b**2 + 16 + 88*b**3 + d*b**4 = 0. Calculate b.
-2, -1, -2/5
Let k(h) be the third derivative of -h**10/45360 - h**9/7560 - h**8/3360 - h**7/3780 - h**4/6 - 3*h**2. Let x(f) be the second derivative of k(f). Factor x(u).
-2*u**2*(u + 1)**3/3
Let j = -2/547 - -5476/1641. Find c such that j*c**2 - 2*c**3 - 4/3*c + 0 = 0.
0, 2/3, 1
Factor -7/5*q**2 + 4/5 - 12/5*q.
-(q + 2)*(7*q - 2)/5
Let x be (-55)/(-30) + 5/30. Factor 2/3*d**3 - 1/3*d - 1/3*d**5 + 0*d**4 + 0*d**x + 0.
-d*(d - 1)**2*(d + 1)**2/3
Let m(t) be the third derivative of 0 + 0*t + 0*t**3 - 1/30*t**5 - 5*t**2 + 1/4*t**4. Factor m(u).
-2*u*(u - 3)
Let t(v) be the first derivative of -v**2 + 5 - 5/2*v**4 + 16/3*v**3 - 4*v. Factor t(z).
-2*(z - 1)**2*(5*z + 2)
Suppose 0 = -8*m + 6*m + 6. Let a(l) be the third derivative of 0*l - 1/300*l**6 + 1/30*l**4 + 1/150*l**5 - 2*l**2 + 0 + 0*l**m. Determine y so that a(y) = 0.
-1, 0, 2
Suppose 4*p**2 - 6*p + 18*p - 9 - 7*p**2 = 0. Calculate p.
1, 3
Let u be 8/(-10) - -3*(-24)/(-45). Determine z so that -3/5*z**3 - 1/5*z**2 + u*z**4 + 0*z + 0 = 0.
-1/4, 0, 1
Factor 0*g + 6/13*g**3 + 0 + 2/13*g**5 - 6/13*g**4 - 2/13*g**2.
2*g**2*(g - 1)**3/13
Let h = -5762 + 1037173/180. Let o(r) be the third derivative of -h*r**6 + 0*r + 4/45*r**7 - 1/18*r**4 - 13/90*r**5 + r**2 + 0 + 0*r**3. Solve o(d) = 0.
-2/7, -1/4, 0, 1
Let i be 2/((-12)/(-7))*24/42. Suppose -3*g - 2*g = 0. Suppose g - 2/3*w + 2/3*w**2 + i*w**3 - 2/3*w**4 = 0. Calculate w.
-1, 0, 1
Let d(p) be the second derivative of 0*p**4 + 3/70*p**5 + 3/14*p**2 - 1/7*p**3 - 1/70*p**6 + 5*p + 0. Find m such that d(m) = 0.
-1, 1
Let c(p) = p + 1. Let s be c(2). Solve -2*q + 3*q**2 + 8*q**s - 10*q**3 + q**2 = 0.
0, 1
Let f(c) be the third derivative of -343*c**6/24 - 49*c**5 - 70*c**4 - 160*c**3/3 + 21*c**2. Determine q, given that f(q) = 0.
-4/7
Let b = 11/21 - 1/42. Let o(a) be the second derivative of 1/20*a**5 + a - 1/12*a**4 + 0 + b*a**2 - 1/6*a**3. Factor o(c).
(c - 1)**2*(c + 1)
Suppose 4*q = -r + 6, 0 = 2*r - 0*q + 2*q - 6. Let f be ((-4)/(-10))/((-1)/(-10)). Factor 4*l**3 + 5*l**f + 2*l**4 - 4*l**4 + r*l**2 - l**4.
2*l**2*(l + 1)**2
Let g be ((-8)/12)/(4/6). Let u be ((-22)/6)/g + -3. Factor 2/3 + u*f**2 - 4/3*f.
2*(f - 1)**2/3
Let w be ((-3)/(-10)*17 + -5)*4. Factor -2/5*v + 6/5*v**2 - 6/5*v**3 + w*v**4 + 0.
2*v*(v - 1)**3/5
Let i = 138 - 321. Let n = i + 1649/9. Let -n*y**5 + 0*y + 0*y**2 + 0*y**4 + 2/9*y**3 + 0 = 0. Calculate y.
-1, 0, 1
Factor -38*k**2 - 7*k - 24*k**3 + 8*k**4 - 5*k + 66*k**3.
2*k*(k - 1)*(k + 6)*(4*k + 1)
Let c(x) be the third derivative of x**8/20160 + x**7/10080 - x**6/1440 + x**5/20 - 3*x**2. Let u(h) be the third derivative of c(h). Factor u(d).
(d + 1)*(2*d - 1)/2
Factor 0*x**3 - 4/5*x**5 + 0*x + 0 + 0*x**2 + 1/5*x**4.
-x**4*(4*x - 1)/5
Let f be 1 - (-1498)/(-500) - -2. Let r = 2009/2250 - f. What is c in -4/3*c**3 + r*c**4 - 2/9*c + 0 - 2/9*c**5 + 8/9*c**2 = 0?
0, 1
Let d(q) be the second derivative of 25*q**7/42 + 3*q**6 + 11*q**5/2 + 10*q**4/3 - 5*q**3/2 - 5*q**2 + 25*q. Determine u so that d(u) = 0.
-1, 2/5
Let n = -55 - -55. Factor 0 - d**3 + n*d - 1/3*d**2 - 1/3*d**5 - d**4.
-d**2*(d + 1)**3/3
Let s = 1069 - 7475/7. Factor -8/7*v - s*v**3 - 12/7*v**2 - 2/7 - 2/7*v**4.
-2*(v + 1)**4/7
Let k(a) be the third derivative of a**5/60 - a**4/24 + a**3/6 - 2*a**2. Let n(z) = 2*z**2 - 8*z + 2. Let u(o) = 4*k(o) - n(o). Let u(d) = 0. What is d?
-1
Let m(y) = -4*y**3 - 12*y**2 - 14*y - 6. Suppose -9 = -p - 0*p. Let n(g) = -16*g**3 - 48*g**2 - 57*g - 25. Let f(t) = p*m(t) - 2*n(t). Factor f(w).
-4*(w + 1)**3
Let g(t) be the third derivative of t**5/60 - t**4/24 - t**3 + 24*t**2. Factor g(n).
(n - 3)*(n + 2)
Let a(m) be the third derivative of m**5/30 + m**4/4 - 3*m**2. Solve a(u) = 0.
-3, 0
Let d(j) be the first derivative of 2*j**5/45 + j**4/18 - 4*j**3/27 - 34. Factor d(f).
2*f**2*(f - 1)*(f + 2)/9
Let f(r) = -r**3 - r**2 + 1. Let a(l) = -3*l**4 - 2*l**3 - 2*l**2 - 3*l + 5. Let x(q) = -a(q) + 5*f(q). Suppose x(j) = 0. Calculate j.
-1, 0, 1
Let p(b) be the first derivative of -b**3 + 6*b**2 - 12*b - 3. What is y in p(y) = 0?
2
Let t(z) = -3*z - 1. Let j be t(-1). What is b in b - 3*b**j - b**3 + 0 + b**2 + 2 + 0 = 0?
-2, -1, 1
Let m be ((-2)/6)/(4/(-72)). Suppose 4*n = 3*v, n + 0*v = v - 1. Factor -c**2 - 3*c + c + 2*c**4 + 7*c**2 - m*c**n.
2*c*(c - 1)**3
Let p be ((-10)/(-2))/(-45)*-3*0. Solve p*m**2 - 2/3*m**4 + 4/3*m + 2/3 - 4/3*m**3 = 0 for m.
-1, 1
Let u(v) = v**2 + 7*v - 8. Let q be u(-8). Suppose -2*z - 2*k + 5 = k, 3*k + 3 = q. Factor 5/4*d**z - 3/4*d**3 + 1/2 + 3/4*d - 7/4*d**2.
(d - 1)**2*(d + 1)*(5*d + 2)/4
Let c be 6/(-9)*6/(-16). Factor 1/4*f + 0 + c*f**2.
f*(f + 1)/4
Determine s, given that -20 + 20 - 3*s**2 = 0.
0
Factor 0 + 8/7*g - 4/7*g**2.
-4*g*(g - 2)/7
What is g in -3/7*g + 0 - 3/7*g**3 - 6/7*g**2 = 0?
-1, 0
Let r(y) be the second derivative of -y**9/25200 + y**8/5600 + y**7/4200 - y**6/600 - y**4/12 + y. Let i(h) be the third derivative of r(h). Factor i(f).
-3*f*(f - 2)*(f - 1)*(f + 1)/5
Let o(v) be the first derivative of -4*v**5/35 + 3*v**4/14 + 6*v**3/7 + v**2/7 - 6*v/7 - 18. Suppose o(k) = 0. What is k?
-1, 1/2, 3
Suppose 25/2*r**4 + 20*r**3 - 20*r - 45/2*r**2 + 10 = 0. Calculate r.
-2, -1, 2/5, 1
Let a = 10 + -9. Factor 0 + r**3 - 3*r**2 + 9*r - 6*r - a.
(r - 1)**3
Let d(o) be the first derivative of 2*o**3/9 + 2*o**2/3 - 3. Let d(x) = 0. What is x?
-2, 0
Let u = -1/33 + 104/165. Let h = 18 + -89/5. Find a such that 1/5 + h*a + u*a**3 - a**2 = 0.
-1/3, 1
Factor -5*z + 4*z**2 + 0*z**3 - 5*z**3 + 2*z**3 + 4*z**3.
z*(z - 1)*(z + 5)
Let k(b) be the third derivative of -b**7/70 - b**6/5 - 11*b**5/10 - 3*b**4 - 9*b**3/2 + 5*b**2. Determine o so that k(o) = 0.
-3, -1
Let h(m) = -7*m**2 + 43*m - 103. Let z(n) = 15*n**2 - 87*n + 207. Let d(l) = -7*h(l) - 3*z(l). Suppose d(f) = 0. What is f?
5
Let m(i) = -3*i**2 + 2*i + 6. Let d(g) = -g**2 + g + 1. Let b(n) = -6*d(n) + 3*m(n). Solve b(h) = 0.
-2, 2
Let v(s) be the first derivative of -s**6/180 + s**5/10 - 3*s**4/4 + s**3/3 + 4. Let w(l) be the third derivative of v(l). Let w(m) = 0. What is m?
3
Let i(k) be the first derivative of -k**6/120 + k**5/60 + k**4/24 - k**3/6 + 3*k**2/2 + 2. Let n(b) be the second derivative of i(b). Solve n(z) = 0 for z.
-1, 1
Let j(s) be the third derivative of 11*s**8/224 + 41*s**7/210 - s**6/48 - 3*s**5/4 - 7*s**4/12 + 2*s**3/3 + 2*s**2 - 30. Find l such that j(l) = 0.
-2, -1, -2/3, 2/11, 1
Let b(v) = -v**3 - v**2 - v. Let n(a) = -a**3 - 2*a**2 + 2*a. Let q(i) = 12*b(i) + 4*n(i). Find f, given that q(f) = 0.
-1, -1/4, 0
Let d be (-30)/(-105) - (-27)/28. Factor 1/2 + d*b + 3/4*b**2.
(b + 1)*(3*b + 2)/4
Let v(z) be the second derivative of z**6/255 - 2*z**5/85 + z**4/17 - 4*z**3/51 + z**2/17 - 16*z. Solve v(s) = 0.
1
Factor 5*b**3 - 71*b**2 - b**3 + 71*b**2 - 4*b**4.
-4*b**3*(b - 1)
Let a(w) be the first derivative of -w**4/4 - w**3/2 + 3*w + 4. Let y(v) be the first derivative of a(v). Factor y(x).
-3*x*(x + 1)
Let f(w) = w + 10. Let y be f(-6). Let l be (-34)/(-14) - 3/7. Suppose 2*m**y + l*m**3 + 4 - 4 = 0. Calculate m.
-1, 0
Let p(s) be the second derivative of -5*s + 1/6*s**2 + 0 - 1/9*s**3 + 1/36*s**4. Let p(t) = 0. Calculate t.
1
Let o(q) be the first derivative of -3/32*q**4 + 3/40*q**5 - 5 + 0*q - 1/8*q**3 + 3/16*q**2. Suppose o(t) = 0. Calculate t.
-1, 0, 1
Suppose 0 = -d + 2*d + 2. Let a be (-150)/(-35) - d/(-7). Factor 4/7*v**2 + 0 + 2*v**3 + 6/7*v**5 + 16/7*v**a + 0*v.
2*v**2*(v + 1)**2*(3*v + 2)/7
Let y(b) be the first derivative of b**5/10 + b**4/8 - b**3/3 + 31. Find g such that y(g) = 0.
-2, 0, 1
Let s = 20 - 97/5. Let 0 - 1/5*b**4 - 1/5*b - s*b**2 - 3/5*b**3 = 0. Calculate b.
-1, 0
What is z in 33*z**2 + 6 - 7 + 35*z + 12*z**2 - 9 = 0?
-1, 2/9
Le