ve of -l**3/7 + 3*l/7 - 16. Factor w(d).
-3*(d - 1)*(d + 1)/7
Factor -50*l + 2329 + 2*l**2 - 2329.
2*l*(l - 25)
Let b(p) be the first derivative of -5/42*p**6 - 11/14*p**4 - 18/35*p**5 - 8/21*p**3 + 2 + 2/7*p + 3/14*p**2. Factor b(o).
-(o + 1)**4*(5*o - 2)/7
Let x(c) be the second derivative of 9*c + 0*c**4 + 2/21*c**7 - 2/5*c**5 + 2/15*c**6 + 0 + 0*c**3 + 0*c**2. Factor x(s).
4*s**3*(s - 1)*(s + 2)
Suppose -34*w = -45*w. Let y(x) be the first derivative of w*x + 5 + 1/3*x**3 - 1/25*x**5 + 1/20*x**4 + 3/10*x**2. Factor y(j).
-j*(j - 3)*(j + 1)**2/5
Suppose 0 = -2*u + 2*a + 294, 31 = u - 5*a - 116. Let d be (-63)/u*(-4)/3. Let -2/7*i**2 - 2/7 - d*i = 0. Calculate i.
-1
Factor -21/5*c**3 + 9/5*c**4 + 0 + 0*c + 6/5*c**2.
3*c**2*(c - 2)*(3*c - 1)/5
Suppose 0 = -28*j - 0 + 56. Let c be 55/(-22)*1/(-10). Factor 1/2*x + c*x**j + 1/4.
(x + 1)**2/4
Let q(j) = j**2 - j + 3. Let z be q(0). Solve w**2 - z*w - 1 - 4*w**3 + 2*w + 9*w**3 - 4*w**3 = 0.
-1, 1
Determine v so that -4096/3 + 17/3*v**3 - 1/9*v**4 - 304/3*v**2 + 6400/9*v = 0.
3, 16
Let y(p) be the third derivative of -p**7/70 + 3*p**6/50 + p**5/100 - 3*p**4/10 + 2*p**3/5 + 157*p**2. What is a in y(a) = 0?
-1, 2/5, 1, 2
What is q in 53/3*q + 1/3*q**2 + 34 = 0?
-51, -2
Let y = -516 - -519. Let g(x) be the second derivative of -1/6*x**4 + 2*x**2 + 0 + 4*x + 1/3*x**y. Factor g(q).
-2*(q - 2)*(q + 1)
Let o(g) be the second derivative of 1/5*g**3 + 2*g**2 + 3/100*g**5 - 1/50*g**6 + 0 + 9/40*g**4 + 4*g. Let c(x) be the first derivative of o(x). Factor c(m).
-3*(m - 2)*(m + 1)*(4*m + 1)/5
Let l(c) = 6*c + 33. Let v be l(-6). Let p be 3/v + (-8)/(-2) - 0. What is n in -3/2*n**p - 3/2*n + 0 + 3*n**2 = 0?
0, 1
Suppose 2*m - 22 = 644*x - 648*x, -2*x + m + 1 = 0. Let z(f) be the first derivative of 0*f**2 - 3/16*f**4 + 0*f + 1/4*f**x + 7. Factor z(t).
-3*t**2*(t - 1)/4
Let n(j) = -5*j**4 - 5*j**3 + 34*j**2 + 66*j + 29. Let y(b) = -b**2 + b - 1. Let l(w) = n(w) - y(w). Factor l(f).
-5*(f - 3)*(f + 1)**2*(f + 2)
Let q be 2594/90 - (-125)/1875. Solve -25/3*o**5 + 8/9 - 347/9*o**3 + 74/3*o**2 + q*o**4 - 68/9*o = 0.
2/5, 2/3, 1
Let f(a) be the third derivative of 1/15*a**5 + 12*a**2 - 7/6*a**4 + 0 + 0*a - 16/3*a**3. Factor f(h).
4*(h - 8)*(h + 1)
Let z(o) be the first derivative of 108/7*o**2 + 12/7*o**3 + 1/14*o**4 - 19 + 432/7*o. Factor z(m).
2*(m + 6)**3/7
Let f(j) be the first derivative of j**7/56 + 3*j**6/40 + 9*j**5/80 + j**4/16 - 10*j + 2. Let b(i) be the first derivative of f(i). What is z in b(z) = 0?
-1, 0
Let h(v) be the first derivative of 0*v - 15 + 2/5*v**5 + 1/6*v**3 + 1/8*v**6 + 0*v**2 + 7/16*v**4. Factor h(k).
k**2*(k + 1)**2*(3*k + 2)/4
Let c(m) = 2*m**3 - 9*m**2 - 30*m. Let j(x) = 11*x**3 - 55*x**2 - 182*x. Let l(b) = -34*c(b) + 6*j(b). Factor l(r).
-2*r*(r + 6)**2
Let g(z) be the third derivative of 4/15*z**5 + 2*z**3 + 0*z + 0 - 13/6*z**4 - 19*z**2. Solve g(i) = 0 for i.
1/4, 3
Let y be -12*(5/(-1))/15. Let g be (y/2 + -5)/(8/(-18)). Find i such that -g*i**3 + 3*i**2 + 3*i - 27/4*i**4 + 0 = 0.
-1, -2/3, 0, 2/3
Let o = -119 - -121. Determine f, given that -20*f + 25 + o*f**2 - 28*f + 263 = 0.
12
Factor 2/5*h**2 - 8/5 - 6/5*h.
2*(h - 4)*(h + 1)/5
Let s(c) = 13*c**3 - 37*c**2 - 219*c - 246. Let r(p) = -84*p**3 + 240*p**2 + 1424*p + 1600. Let q(j) = 5*r(j) + 32*s(j). Factor q(y).
-4*(y - 8)*(y + 2)**2
Let l(m) be the second derivative of -m**4/48 - 5*m**3/8 + 2*m**2 - m - 9. Suppose l(z) = 0. Calculate z.
-16, 1
Let k(v) be the third derivative of -1/6*v**4 - 11/100*v**5 + 0*v - 1/210*v**7 + 0 - 14*v**2 - 2/15*v**3 - 11/300*v**6. Find x, given that k(x) = 0.
-2, -1, -2/5
Let q be 3 - -2 - 4*15/20. Suppose 3*t = -q*t + 10. What is s in -2/3*s + 2/9*s**3 + 0 + 4/9*s**t = 0?
-3, 0, 1
Let g(a) be the second derivative of -a**5/10 + 19*a**4/6 - 112*a**3/3 + 192*a**2 + 88*a + 2. Factor g(w).
-2*(w - 8)**2*(w - 3)
Let m(b) = 5*b**4 + 14*b**3 + 12*b**2 - 10*b - 5. Let o(i) = 13*i**4 + 40*i**3 + 36*i**2 - 29*i - 16. Let j(y) = -11*m(y) + 4*o(y). Factor j(v).
-3*(v - 3)*(v - 1)*(v + 1)**2
Determine o, given that 19/2*o**3 + 6*o - 13*o**2 + 0 + 1/4*o**5 - 11/4*o**4 = 0.
0, 1, 2, 6
Suppose h = 11 - 8. Suppose -8*m = -9*m + h. Factor 1/5 - 3/5*p**m - 1/5*p - p**2.
-(p + 1)**2*(3*p - 1)/5
Let k(t) be the third derivative of -t**6/480 - t**5/30 - 17*t**4/96 - 5*t**3/12 + 11*t**2 + 5*t. Factor k(x).
-(x + 1)*(x + 2)*(x + 5)/4
Let -12/5*g + 14/5*g**5 - 2/5*g**3 + 86/5*g**2 - 86/5*g**4 + 0 = 0. What is g?
-1, 0, 1/7, 1, 6
Suppose -4*i = 5*t - 4, -i = -4*t + 30 - 10. Solve 1113 - 5*j**t - 1113 - 10*j**3 + 15*j**2 = 0 for j.
-3, 0, 1
Let y = -101279/240 + 422. Let h(v) be the third derivative of -4*v**2 + y*v**6 + 0*v + 1/120*v**5 - 1/48*v**4 - 1/12*v**3 + 0. Determine k so that h(k) = 0.
-1, 1
Let p(q) be the second derivative of -3*q**5/100 - 7*q**4/10 - 22*q**3/5 - 12*q**2 + 223*q. Solve p(t) = 0.
-10, -2
Let n(h) be the second derivative of h**4/30 - 2*h**3/15 - 48*h**2/5 - 20*h - 2. Factor n(p).
2*(p - 8)*(p + 6)/5
Let r be (-6)/2 - -3 - -9. Factor -12*d**4 + 6*d + 3*d**2 - r*d**3 + 0*d + 3*d**5 + 9*d**4.
3*d*(d - 2)*(d - 1)*(d + 1)**2
Factor 4/7*x + 0 - 1/7*x**2.
-x*(x - 4)/7
Suppose 57/2 - 57/2*l**2 - 3/8*l**3 + 3/8*l = 0. Calculate l.
-76, -1, 1
Let f(r) be the second derivative of -r**7/11340 + r**6/810 - r**5/180 - 3*r**4/4 - 9*r. Let h(q) be the third derivative of f(q). Solve h(w) = 0.
1, 3
Factor 338 + 1/2*i**2 + 26*i.
(i + 26)**2/2
Suppose -5*o = -4891 + 4881. Let x(s) be the first derivative of 9 - 1/16*s**4 - 3/8*s**o - 1/4*s - 1/4*s**3. Factor x(w).
-(w + 1)**3/4
Suppose -43047 + 21525 + 21522 - 128*i + i**2 = 0. Calculate i.
0, 128
Suppose -5*j - 4*r = 6, 4*j + 3*r - 1 + 5 = 0. Factor -5*w - 44 + 6*w**2 + 60 + 25*w - j*w**2.
4*(w + 1)*(w + 4)
Let f be ((-894)/149 - 2*1*-4)*1. Factor -27/5*p + 3/5*p**f + 24/5.
3*(p - 8)*(p - 1)/5
Let q = -3933 + 12637/3. Let i = q + -279. Factor -1/3*b + 1/3*b**3 + i - 1/3*b**2.
(b - 1)**2*(b + 1)/3
Suppose 42 + 84 = -2*a. Let r be a/(-12)*(-8)/(-6). Suppose -4*s**2 + s**2 - r + 9*s + 1 + 0 = 0. Calculate s.
1, 2
Let r(l) = -l**2 - 45*l - 86. Let g(d) = -5*d**2 - 315*d - 600. Let y(s) = 2*g(s) - 15*r(s). Solve y(a) = 0 for a.
-6, -3
Let -o**4 + 0*o**2 + 2*o**5 - 2*o**3 - 3*o**4 + 0*o**3 + 4*o**2 + 0*o**2 = 0. Calculate o.
-1, 0, 1, 2
Let s = 1690561/3440676 - -1/29661. Let w = s - -1/116. Factor -w*b**2 - 2*b - 2.
-(b + 2)**2/2
Let x = -3259 - -29333/9. Let 4/9*c - x - 2/9*c**2 = 0. Calculate c.
1
Let h(j) = -j - 2. Let d be h(-6). Let w be -25 - -28 - ((-3)/2 + 4). What is c in 1/2*c**d - 1/2*c**5 + 0*c + 1/2*c**3 - w*c**2 + 0 = 0?
-1, 0, 1
Let z be -4 + 46/11 - (-42)/11. Suppose -12 = -z*u - 4*a, 2*a + 6 = 2*u - 0. Factor 0*l**4 + 2/13*l**5 - 4/13*l**u + 2/13*l + 0 + 0*l**2.
2*l*(l - 1)**2*(l + 1)**2/13
Let i(m) = 15*m - 5*m**3 + m**3 + 3*m**3 + 0*m**2 - 4*m**2 + 20. Let p be i(-6). Factor -3/5 + 3/5*n**p - 3/5*n + 3/5*n**3.
3*(n - 1)*(n + 1)**2/5
Let k(h) be the third derivative of h**8/168 + h**7/35 - 2*h**5/15 - 52*h**2. Find p such that k(p) = 0.
-2, 0, 1
Suppose -2*p + 3 = -p. Let i(f) be the third derivative of 0 + 1/80*f**6 + 1/60*f**5 + 0*f**p + 5*f**2 + 0*f + 0*f**4. Factor i(m).
m**2*(3*m + 2)/2
Let l be (-40)/(-50) + (-702)/(-260). Factor 5/2*y**3 + 1/2*y**4 + 3/2*y + l*y**2 + 0.
y*(y + 1)**2*(y + 3)/2
Suppose 5*r = -0*r. Suppose r*d + 6 = 3*d. Suppose 0*u**5 + 14*u**3 + 161*u - 171*u - 3 - 4*u**5 + d*u**4 - 1 + 2*u**2 = 0. What is u?
-1, -1/2, 1, 2
Let y(b) = 2*b**2 + 2*b - 14. Suppose 0 = 2*q - 49 + 45. Let i(r) = -r**2 + r + 1. Let h(u) = q*i(u) - y(u). Suppose h(d) = 0. Calculate d.
-2, 2
Solve -3491*z**3 + 5*z**5 - 21*z**2 + 3136*z**3 + 201*z**2 + 170*z**4 = 0.
-36, 0, 1
Solve 6160*i + 1405/2*i**4 + 1514*i**2 + 1568 - 25/2*i**5 - 9932*i**3 = 0 for i.
-2/5, 1, 28
Let z(d) = -d**4 + d**2 + 1. Let x(n) = -7*n**4 - n**3 + 10*n**2 + 4*n + 6. Let i(v) = -x(v) + 6*z(v). Factor i(g).
g*(g - 2)*(g + 1)*(g + 2)
Suppose 0 = 5*g + b - 26, 17*g = 14*g - 5*b - 2. Let r(c) be the third derivative of 0*c**3 - c**2 - 1/75*c**5 + 0*c + 0 + 0*c**4 - 1/100*c**g. Factor r(z).
-2*z**2*(3*z + 2)/5
Let p(z) = 11*z**2 + 234*z - 464. Let u(c) = 10*c**2 + 235*c - 470. Let v(m) = 5*p(m) - 6*u(m). Factor v(a).
-5*(a - 2)*(a + 50)
Suppose 2*p = -3*o - 14, 5*p + 6*o = 2*o - 2