m + 4*m**3 - 2*m**2 + m.
m*(m - 1)*(4*m + 1)
Let s(a) be the first derivative of -a**5/5 + a**4/2 + a**3 - 2*a**2 - 4*a + 28. Factor s(q).
-(q - 2)**2*(q + 1)**2
Let i = -140 - -144. Solve -1/7*f**i + 0*f**3 + 0*f**2 + 0 + 1/7*f**5 + 0*f = 0.
0, 1
Let l be (19/(-57))/(2/(-12)). Let d(c) be the second derivative of l*c + 0 - 1/9*c**3 + 0*c**2 + 2/9*c**4 - 1/10*c**5. Solve d(v) = 0.
0, 1/3, 1
Factor -5*n**2 + 4*n**2 - 10*n - 5 - 5*n**2 + n**2.
-5*(n + 1)**2
Let l = -623 + 4363/7. Determine u so that 0*u + 2/7*u**2 + 2/7*u**3 - 2/7*u**5 + 0 - l*u**4 = 0.
-1, 0, 1
Suppose 0 = -3*j - 18 + 18. Let g(d) be the second derivative of -2/15*d**6 + j*d**3 + 0*d**2 + 0 + 0*d**4 - 1/21*d**7 - d - 1/10*d**5. Solve g(c) = 0 for c.
-1, 0
Let l(c) = c**2 + 2*c + 1. Let a(d) = d**2 + d. Let r(z) = 6*a(z) - 3*l(z). Factor r(t).
3*(t - 1)*(t + 1)
Let j(l) be the third derivative of l**5/120 + l**4/12 + l**3/4 - 10*l**2. Suppose j(h) = 0. Calculate h.
-3, -1
Let v = -8 - -17. Suppose -1 = 4*c - v. Factor c - 20*l**3 + 3*l**2 + 20*l**2 - 3*l**2 - 10*l + 10*l**4 - 2*l**5.
-2*(l - 1)**5
Let l = 128 + -125. Factor -1/2*a**2 - 2*a**5 + 0*a - 9/2*a**4 + 0 - l*a**3.
-a**2*(a + 1)**2*(4*a + 1)/2
Let w(g) be the third derivative of g**9/52920 - g**8/11760 + g**7/8820 + g**4/24 + g**2. Let h(c) be the second derivative of w(c). Factor h(m).
2*m**2*(m - 1)**2/7
Let z(r) be the second derivative of -r**7/147 - 2*r**6/35 - r**5/5 - 8*r**4/21 - 3*r**3/7 - 2*r**2/7 + 31*r. Let z(d) = 0. Calculate d.
-2, -1
Let t(u) = -u**3 - 3*u**2 - 3*u - 4. Let l be t(-3). Suppose 2*y**4 + 0 + 2/3*y**l + 2/3*y**2 + 0*y + 2*y**3 = 0. Calculate y.
-1, 0
Let g = 2 + 2. Let u be ((-3)/2)/(3/(-8)). Let -g*k**4 - k**4 - 2*k**3 - k**2 + 4*k**u = 0. What is k?
-1, 0
Suppose -2*s + 2 - 6 = k, -4*k - s = -5. Factor -2*t**3 - 3*t**4 + 2*t**4 + 2*t**4 - 2*t**4 - t**k.
-t**2*(t + 1)**2
Let h(m) be the second derivative of 5*m**8/168 - 3*m**7/35 + 2*m**6/25 - 2*m**5/75 + m**2 + m. Let r(p) be the first derivative of h(p). Factor r(z).
2*z**2*(z - 1)*(5*z - 2)**2/5
Let x(k) = -7*k - 1. Let u be x(-1). Let i(a) be the third derivative of 0*a + 0 + a**2 - 1/90*a**5 + 1/72*a**4 + 0*a**3 + 1/360*a**u. Factor i(s).
s*(s - 1)**2/3
Let m(x) = 2*x**5 - 2*x**4 - 4*x**3 + x**2 + 2*x - 5. Let c(y) = 2*y**5 - 2*y**4 - 4*y**3 + 2*y - 6. Let k(t) = 3*c(t) - 4*m(t). Factor k(i).
-2*(i - 1)**3*(i + 1)**2
Let g(x) = -8*x**3 + 10*x**2 - 19*x + 12. Let p(d) = -9*d**3 + 9*d**2 - 18*d + 12. Let m(v) = 6*g(v) - 5*p(v). Solve m(u) = 0 for u.
1, 2
Let q(t) be the second derivative of 1/30*t**4 - 2/5*t**2 + 0 + 2*t + 1/15*t**3. Factor q(x).
2*(x - 1)*(x + 2)/5
Suppose 10*b = 5*b + 30. Suppose -2*l - 1 = -5*z + 1, -b = z - 2*l. Factor -2/5*f**z + 2/5*f + 0.
-2*f*(f - 1)/5
Suppose g + 3*g - 12 = 0. Let y = 0 + g. Factor 1/2*d**2 + 0 + 0*d + 1/2*d**4 + d**y.
d**2*(d + 1)**2/2
Suppose 313 = -q + 314. Factor -1/4*z**2 - z - q.
-(z + 2)**2/4
Let q(n) = n + 12. Let y be q(-10). Let h(t) be the first derivative of -t**3 + 1 + 6*t - 3/2*t**y. Suppose h(p) = 0. What is p?
-2, 1
Let t(b) be the second derivative of 3/16*b**4 - 4*b + 3/20*b**5 + 0 + 1/24*b**6 + 1/12*b**3 + 0*b**2. Suppose t(k) = 0. What is k?
-1, -2/5, 0
Let j be (0 - 3/(-90))/(2/3). Let o(p) be the first derivative of j*p**5 + 1/8*p**2 + 3/16*p**4 - 3 + 0*p + 1/4*p**3. Determine l so that o(l) = 0.
-1, 0
Let y(w) be the second derivative of 1/231*w**7 - 1/165*w**6 + 0 + 0*w**3 + 0*w**4 + 0*w**5 - 2*w + 0*w**2. What is x in y(x) = 0?
0, 1
Let u(c) be the third derivative of 1/240*c**5 - 1/96*c**4 + 0*c + 1/480*c**6 + 0 - 1/24*c**3 - 6*c**2. Factor u(m).
(m - 1)*(m + 1)**2/4
Let l be 4/200*5/2. Let b(r) be the second derivative of 3*r - 5/6*r**3 - r**2 + 0 - l*r**5 - 1/3*r**4. Factor b(d).
-(d + 1)**2*(d + 2)
Let a(m) be the third derivative of -5*m**8/96 - 5*m**7/84 + 23*m**6/48 + 29*m**5/24 + 5*m**4/12 - 5*m**3/3 - 31*m**2. Suppose a(i) = 0. What is i?
-1, 2/7, 2
Factor -2*k - 4/3 - 2/3*k**2.
-2*(k + 1)*(k + 2)/3
Let j be 0/(-1) + 0 + 3. Factor -3*a**2 - a**3 - 4*a**4 + 5*a**4 + 0*a**j + a**5 + 2*a**2.
a**2*(a - 1)*(a + 1)**2
Let q(a) = -a**2 + 4*a + 7. Let c be q(5). Let k(y) be the third derivative of c*y**2 + 0 + 0*y**3 + 1/60*y**6 + 0*y + 1/15*y**5 + 1/12*y**4. Factor k(t).
2*t*(t + 1)**2
Factor -4*u - 2 + 6 - 1 + u**2.
(u - 3)*(u - 1)
Factor 2*y**2 + 7*y + 3*y - 6*y - 6.
2*(y - 1)*(y + 3)
Let u be (4 - (-3 - -3))*-2. Let o be (-6)/(-4) - 4/u. Factor 4*g**4 + 0*g**2 + g**3 - o*g**2 + 6*g**3.
g**2*(g + 2)*(4*g - 1)
Let m be (-12)/(-9)*(-3)/(-1). Let z(t) = -9 + 5*t**2 + 2*t**2 + 21*t - m*t**2 - 10*t. Let y(a) = 2*a**2 + 6*a - 5. Let o(g) = -5*y(g) + 3*z(g). Factor o(x).
-(x - 2)*(x - 1)
What is p in -3*p**4 + 3/4*p**5 + 0 + 3/4*p + 9/2*p**3 - 3*p**2 = 0?
0, 1
Let k(q) be the first derivative of 6*q**3 - 2 + 0*q**2 - 1/9*q**6 - 9/2*q**4 + 6/5*q**5 + 0*q. Factor k(b).
-2*b**2*(b - 3)**3/3
Suppose -7*o = -4*o - 57. Suppose 5*f = o + 11. Factor -2 - 20*h - h**3 - 23*h**2 - f*h**3 - 2.
-(h + 1)*(h + 2)*(7*h + 2)
Let y(v) = 5*v**2 - 7*v. Suppose 0 = k - 2*h - 14, k = 5*k + 4*h - 8. Let s(x) = -22*x**2 + 8*x + 8*x**2 + 12*x. Let j(w) = k*s(w) + 17*y(w). Factor j(n).
n*(n + 1)
Suppose -h + 2*h = -2*j + 10, -3*h = 3*j - 21. Let -4 - j*g - g + 4*g + 4*g**2 = 0. What is g?
-1, 1
Let i = -28 + 88. Solve 30*p**5 + p**3 + i*p**4 - 34*p**5 - 13*p**3 - 59*p**5 = 0 for p.
0, 2/7, 2/3
Suppose a - 1 + 0 = 0, -2*g - 4*a + 4 = 0. Let l(o) be the second derivative of g*o**2 - 2/27*o**3 - 1/54*o**4 + 0 + o. Factor l(x).
-2*x*(x + 2)/9
Let k(x) be the first derivative of -x**3 + 6*x**2 - 9*x - 49. Let k(i) = 0. Calculate i.
1, 3
Let s(n) be the second derivative of n**7/252 + n**6/90 - n**5/120 - n**4/36 + 2*n. Factor s(m).
m**2*(m - 1)*(m + 1)*(m + 2)/6
Let f(n) be the second derivative of -3*n**5/80 + 3*n**4/16 - 3*n**3/8 + 3*n**2/8 - n. Factor f(u).
-3*(u - 1)**3/4
Let n(a) be the second derivative of a**4/6 + 4*a**3/15 - a**2/5 + 2*a. Determine w so that n(w) = 0.
-1, 1/5
Let n(b) be the third derivative of b**5/60 - 23*b**4/168 + b**3/7 + 11*b**2. Determine i so that n(i) = 0.
2/7, 3
Let u(h) be the first derivative of -8/27*h**3 - 7/9*h**2 + 4/9*h + 3. Solve u(p) = 0 for p.
-2, 1/4
Let v = 102 + -203/2. Solve 0*x**2 - v + 1/2*x**4 + x - x**3 = 0 for x.
-1, 1
Let w be 3 - (3 - 2)*(-1 - -1). Suppose -2/3*j**4 + 2/3*j**w + 2*j**2 - 2/3*j - 4/3 = 0. What is j?
-1, 1, 2
Factor 4/3*k + 4/9*k**3 - 4/9 - 4/3*k**2.
4*(k - 1)**3/9
Let w(y) be the third derivative of -y**5/60 + 5*y**4/24 + 8*y**2. Find m such that w(m) = 0.
0, 5
Let x(p) be the third derivative of -p**7/280 + p**6/420 + p**5/10 - p**4/7 - 5*p**3/6 + 4*p**2. Let o(b) be the first derivative of x(b). Factor o(j).
-3*(j - 2)*(j + 2)*(7*j - 2)/7
Let f(a) be the third derivative of -1/54*a**4 - 7/180*a**6 - 5/1512*a**8 + 0*a - 3*a**2 + 0*a**3 + 0 + 11/270*a**5 + 17/945*a**7. Solve f(q) = 0.
0, 2/5, 1
Let x(s) be the first derivative of -s**8/840 - s**7/210 - s**6/180 + 2*s**3/3 + 2. Let w(m) be the third derivative of x(m). Find z, given that w(z) = 0.
-1, 0
Let b(q) = 2*q**5 + 3*q**4 + 2*q**3 - 9*q**2 - 7*q + 3. Let o(w) = w**4 + w**2 + w - 1. Let c(p) = 2*b(p) + 6*o(p). Let c(v) = 0. Calculate v.
-2, -1, 0, 1
Let g = 198 - 198. Let o(m) be the first derivative of g*m - 4 - 2/9*m**3 + 0*m**2. Factor o(l).
-2*l**2/3
Let c(n) be the third derivative of n**6/120 + n**5/30 + n**4/24 - 16*n**2. Determine x, given that c(x) = 0.
-1, 0
Let x(m) be the third derivative of -m**7/350 + m**6/200 + 3*m**5/100 - m**4/8 + m**3/5 - 16*m**2. Factor x(g).
-3*(g - 1)**3*(g + 2)/5
Let o(i) = -i + 7. Let d be o(5). Let p be (14/(-63))/(6/(-9)). Factor -1/3*j**3 + 0 - p*j**4 + 1/3*j**d + 1/3*j.
-j*(j - 1)*(j + 1)**2/3
Let y = 150086/7035 - 2/2345. Find a, given that -y*a - 16*a**2 - 32/3 - 2/3*a**4 - 16/3*a**3 = 0.
-2
Let z(w) be the second derivative of -w**4/126 - w**3/21 + 4*w**2/21 - 9*w. Suppose z(o) = 0. What is o?
-4, 1
Let v(g) = -6*g**2 + 159*g - 1279. Let f(m) = m**2 + m - 1. Let y(n) = -f(n) - v(n). Let y(w) = 0. Calculate w.
16
Determine v so that 3*v**5 + 17*v**2 - 15*v**3 - 5*v**4 - 4*v**4 - 8*v**2 + 12*v = 0.
-1, 0, 1, 4
Let s(c) be the first derivative of -3 + 0*c + 2/3*c**3 + 2/3*c**2. Factor s(t).
2*t*(3*t + 2)/3
Suppose -2*t = 1 - 9. Fin