2 - 1. Let y be n(-1). Factor 19*t - 12 + y*t**2 - 5*t**2 - t**2 - 7*t.
-3*(t - 2)**2
Let q(v) be the second derivative of v**4/20 + 17*v**3/5 + 279*v**2/10 + 107*v - 1. Factor q(f).
3*(f + 3)*(f + 31)/5
Suppose 15*g**2 + 65/4*g + 5/4 = 0. What is g?
-1, -1/12
Factor -118 + 8*h**2 + 13*h**2 + 245*h - 16*h**2 - 216 + 84.
5*(h - 1)*(h + 50)
Let u(y) = -7*y**4 - y**3 + 4*y + 4. Let i be 8/(-14) - 150/(-42). Let g(h) = 6*h**4 - 3*h - 3. Let d(c) = i*u(c) + 4*g(c). Factor d(a).
3*a**3*(a - 1)
Suppose -39 - 87*c**2 + 36*c + 40*c**2 + 24*c**2 - 3*c**4 - 36*c**3 + 33*c**2 + 32*c**2 = 0. Calculate c.
-13, -1, 1
Factor 584/3*v + 1/3 + 85264/3*v**2.
(292*v + 1)**2/3
Let k(o) = 7*o**3 + 27*o**2 - 17*o + 5. Let v(f) = -f**3 - 1. Let w(i) = -2*k(i) - 22*v(i). Factor w(q).
2*(q - 6)*(q - 1)*(4*q + 1)
Let d(q) be the third derivative of -q**8/840 + 2*q**7/525 + q**6/25 + 7*q**5/75 + q**4/12 + 174*q**2. Factor d(f).
-2*f*(f - 5)*(f + 1)**3/5
Let z(i) = 4*i**2 - 248*i + 266. Let k(a) = a**2 - 50*a + 53. Let w(j) = 11*k(j) - 2*z(j). Factor w(t).
3*(t - 17)*(t - 1)
Let k be ((-4)/(-14))/(1/7). Factor -14 - 2*a**2 - 19 + 6*a**k + 17.
4*(a - 2)*(a + 2)
Let c = 24 + -9. Let t = -13 + c. Find w such that 4*w - 5 - 6*w**t + 3 - 10*w - 2*w**3 = 0.
-1
Let d(i) be the second derivative of i**7/504 - 5*i**6/144 + i**4/3 - 20*i. Let j(y) be the third derivative of d(y). Let j(r) = 0. Calculate r.
0, 5
Let k(i) = 6*i**2 - 305*i + 11. Let x(c) = c**2 - 61*c + 2. Let m(t) = 2*k(t) - 11*x(t). Factor m(j).
j*(j + 61)
Let v = 25043 - 25041. Factor -a + 1/4*a**v - 5/4.
(a - 5)*(a + 1)/4
Let s(o) be the third derivative of -o**7/700 - 4*o**6/225 - o**5/60 - 11*o**3/6 - 45*o**2. Let t(g) be the first derivative of s(g). Factor t(d).
-2*d*(d + 5)*(3*d + 1)/5
Let b = -57 + 68. Find o such that o**3 + 3*o**4 + o**2 - 2 - b*o + 2*o**2 + 8*o + 6*o**3 = 0.
-1, 2/3
Let t(n) be the first derivative of 3*n**5/5 + 3*n**4/4 - 3*n**3 - 3*n**2/2 + 6*n - 262. Factor t(m).
3*(m - 1)**2*(m + 1)*(m + 2)
Factor 2*k - 96*k**2 - 95*k**2 + 2*k**4 - 4*k**4 + 193*k**2 + k**3 - 3*k**3.
-2*k*(k - 1)*(k + 1)**2
Let n(l) be the third derivative of l**6/160 + l**5/40 - 13*l**4/32 + 5*l**3/4 + 55*l**2. Factor n(x).
3*(x - 2)*(x - 1)*(x + 5)/4
Let f(u) = 2*u - 20. Let d be f(13). Suppose 21 - 9 = d*c. Find q such that 1/2*q**c + 0*q - 1/2 = 0.
-1, 1
Let t be (0*1/(-2))/(-2). Let n(o) = -o**3 + 5*o**2 - 2*o - 5. Let v be n(2). Let 4/7*r - 6/7*r**2 + 2/7*r**v + t = 0. What is r?
0, 1, 2
Let d(p) be the first derivative of -p**6/27 + 2*p**5/5 - 23*p**4/18 + 22*p**3/27 + 8*p**2/3 - 40*p/9 + 34. What is q in d(q) = 0?
-1, 1, 2, 5
Suppose t = -5*d + 6, 3*d + 4*t + 26 = 8*d. Suppose 0 = -2*v + 15 + 5. Solve -i - 9*i**d + v*i**2 + 3*i**2 + 8 - 11*i = 0.
1, 2
Solve -2*g**3 + 36/7*g - 6/7*g**2 - 16/7 = 0 for g.
-2, 4/7, 1
Suppose -42*y + 15 = -47*y - 5*c, -5*y - c + 5 = 0. Factor -2/3*p**y + 0 + 1/3*p**4 + 0*p + 1/3*p**3.
p**2*(p - 1)*(p + 2)/3
Let b(f) be the first derivative of -f**6/9 + 2*f**5/15 - 86. Find t such that b(t) = 0.
0, 1
Suppose -36 = -96*l + 87*l. Let c(r) be the third derivative of 0 + 0*r + 10*r**2 + 1/30*r**5 - 1/12*r**l - 2/3*r**3. Suppose c(j) = 0. What is j?
-1, 2
Let a(i) be the first derivative of 0*i**4 - 4/21*i**6 - 4/21*i**3 + 0*i + 0*i**2 + 12/35*i**5 - 12. Factor a(h).
-4*h**2*(h - 1)**2*(2*h + 1)/7
Let g(n) = 3*n**2 - 30*n + 24. Let f(l) = 6*l**2 - 59*l + 50. Let w(v) = -6*f(v) + 11*g(v). Factor w(k).
-3*(k - 6)*(k - 2)
Let i(f) be the third derivative of 23*f**5/660 + 19*f**4/264 - 2*f**3/33 - 345*f**2. Factor i(g).
(g + 1)*(23*g - 4)/11
Let y(m) be the second derivative of -5/2*m**2 + 0 + 0*m**3 + 5/12*m**4 + 21*m. Factor y(r).
5*(r - 1)*(r + 1)
Factor -4 - 5 + 9*k - 29 - 3*k**3 - 16 + 12*k**2.
-3*(k - 3)**2*(k + 2)
Let j(h) be the second derivative of -h**6/135 - h**5/15 - h**4/6 - 4*h**3/27 + 110*h. Determine b, given that j(b) = 0.
-4, -1, 0
Let t(f) be the first derivative of 20*f - 12*f**2 - 16 + 4/3*f**3. Factor t(h).
4*(h - 5)*(h - 1)
Let 6/7 - 1/7*x**2 - 5/7*x = 0. What is x?
-6, 1
Let u(j) = 20*j**2 - 5*j + 40. Let d(b) = -25*b**2 + 5*b - 42. Let l(v) = 5*d(v) + 6*u(v). Factor l(k).
-5*(k - 2)*(k + 3)
Let x(q) be the second derivative of 1/5*q**4 - 1/50*q**6 - 1/42*q**7 + 0 - 4/15*q**3 + 11/50*q**5 + 20*q + 0*q**2. Suppose x(m) = 0. Calculate m.
-2, -1, 0, 2/5, 2
Let d(n) be the first derivative of 4*n**3/3 + 46*n**2 + 109. Factor d(j).
4*j*(j + 23)
Factor 0*l**2 - 1 - 26 + l**2 + 2*l**2.
3*(l - 3)*(l + 3)
Solve 3/5*a**4 - 363/5*a + 693/5*a**2 - 15972/5 + 87/5*a**3 = 0.
-11, 4
Let y(w) be the second derivative of 0 - 5/14*w**3 + 6/7*w**2 + 1/28*w**4 - 17*w. Solve y(v) = 0.
1, 4
Let t be (1 - (-28)/(-20)) + 828/345. Suppose 3/7*b**t + 6/7 - 9/7*b = 0. Calculate b.
1, 2
Let y(k) be the second derivative of -34/15*k**6 - 28/3*k**4 + 2/7*k**7 + 15*k + 16/3*k**3 + 34/5*k**5 + 0 + 0*k**2. Let y(a) = 0. Calculate a.
0, 2/3, 1, 2
Suppose -3*a - 10 + 26 = 5*j, -a - 4*j + 10 = 0. Factor 7/10*x**3 + 0 - 3/10*x + 2/5*x**a.
x*(x + 1)*(7*x - 3)/10
Determine u so that -15*u**2 + 18/7 + u**4 - 29/7*u - 51/7*u**3 = 0.
-1, 2/7, 9
Let p(s) be the first derivative of 3/10*s**5 - s**3 + 5*s - 1/10*s**6 + 0*s**4 + 3/2*s**2 + 4. Let f(n) be the first derivative of p(n). Factor f(k).
-3*(k - 1)**3*(k + 1)
Let j(l) = l + 7. Let f be j(-2). Factor f*s**4 - 10*s**3 + 4*s**2 + 11 - 19*s**2 + 9 + 20*s.
5*(s - 2)**2*(s + 1)**2
Let p(y) = -y**2 - 1. Let l(f) = 5*f**2 + 7*f + 3. Let r(z) = -l(z) - 6*p(z). Let w be r(7). Factor -3*a - w*a**2 + 49*a**4 + 5*a**3 - 46*a**4 - 2*a**3.
3*a*(a - 1)*(a + 1)**2
Suppose 104*q - 180 = 44*q. Factor 27/2 - 63/2*p - 9/2*p**q - 51/2*p**2.
-3*(p + 3)**2*(3*p - 1)/2
Suppose -2*g - 15 = 4*r + 9, -4*r = -2*g - 32. Let b = -14 - g. Factor 1/3*j**2 + b + 0*j.
j**2/3
Suppose 0 = -2*i - 1 + 9. Find m such that 3*m**5 - 5*m**2 - 5*m**i + 3*m**3 + m**2 - 6*m - 4*m**4 + 13*m**2 = 0.
-1, 0, 1, 2
Let r = 13 - 15. Let t(b) = -b**2 + b. Let y(i) = -5*i**2 + 5*i + 1. Let p(d) = r*y(d) + 9*t(d). Factor p(c).
(c - 2)*(c + 1)
Factor -103*f - 7*f**3 - 8*f**2 + 19*f**3 - 4*f**4 - 111*f + 214*f.
-4*f**2*(f - 2)*(f - 1)
Factor 35 - 10*v + 2*v - 27 + 2*v**2.
2*(v - 2)**2
Let x = 30287/15 + -2019. Factor -x*r**4 + 4/15*r - 2/3*r**2 + 0 + 8/15*r**3.
-2*r*(r - 2)*(r - 1)**2/15
Factor 16*n + 21*n**2 - 66*n**2 + 6*n**3 + 59*n - 35 - n**3.
5*(n - 7)*(n - 1)**2
Let w(m) be the third derivative of -1/8*m**4 + 0 + 1/20*m**5 + 18*m**2 + 0*m**3 + 0*m. Factor w(d).
3*d*(d - 1)
Suppose -6*z + 263 = -127. Solve z*v**4 - 36*v**3 + 4*v**2 - 9909*v + 9909*v = 0 for v.
0, 2/13, 2/5
Let w(c) be the first derivative of -9/10*c**4 - 3/5*c - 3/25*c**5 + 3/10*c**6 + 9/10*c**2 + 2/5*c**3 - 1. Determine a so that w(a) = 0.
-1, 1/3, 1
Suppose 12/17 - 8/17*k**2 + 2/17*k + 2/17*k**3 = 0. What is k?
-1, 2, 3
Let i(l) be the first derivative of -7/4*l**2 + 57 - 1/6*l**3 + 0*l. Find m such that i(m) = 0.
-7, 0
Let k(n) be the first derivative of -4/7*n - 12 + 1/14*n**2 + 4/21*n**3 - 1/28*n**4. Suppose k(p) = 0. Calculate p.
-1, 1, 4
Let b(z) = -25*z**4 + 15*z**3 + 14*z**2 - 6*z - 2. Let r(i) = 127*i**4 - 76*i**3 - 71*i**2 + 31*i + 11. Let d(t) = 11*b(t) + 2*r(t). Solve d(a) = 0.
-2/3, 0, 2/7, 1
Factor 0*l**2 + 0 - 2/7*l + 2/7*l**3.
2*l*(l - 1)*(l + 1)/7
Let p(g) be the second derivative of 3*g**5/20 + 3*g**4/4 - 3*g**3 - 12*g**2 - 42*g + 1. What is c in p(c) = 0?
-4, -1, 2
Let b(l) be the second derivative of 2*l**6/135 - 14*l**5/45 + 5*l**4/3 + 112*l**3/27 - 392*l**2/9 + 23*l - 1. Factor b(w).
4*(w - 7)**2*(w - 2)*(w + 2)/9
Let j(h) be the second derivative of -h**5/60 + h**3/6 + h**2/3 - 139*h. Factor j(z).
-(z - 2)*(z + 1)**2/3
Let l = 27 + -26. Let d(i) = -2*i + 4. Let g be d(l). Factor 0 + z - 9/2*z**3 - 13/2*z**4 + 1/2*z**g - 5/2*z**5.
-z*(z + 1)**3*(5*z - 2)/2
Let s = -2/5869 - -5873/11738. Solve -s + 3/4*k - 1/4*k**2 = 0.
1, 2
Let r(v) be the first derivative of -v**6/3 - 12*v**5/5 - 6*v**4 - 20*v**3/3 - 3*v**2 - 86. Suppose r(i) = 0. What is i?
-3, -1, 0
Let q(g) be the first derivative of -3 + 1/84*g**4 + 1/35*g**5 - 4*g - 1/14*g**2 - 2/21*g**3. Let n(h) be the first derivative of q(h). Factor n(i).
(i - 1)*(i + 1)*(4*i + 1)/7
Suppose -4*p + i = -3, -2*i = 3*p + 3*i + 15. Suppose -2*b = -2*x + 4 + 10, p = -5*x - 3*b