6 - 14*r + 5/12*r**4. Factor i(z).
5*(z - 2)*(z - 1)**2*(z + 1)
Let o(z) be the second derivative of 0*z**2 + 1/40*z**5 + 0*z**6 + 0 - 1/168*z**7 + 0*z**4 - 2*z - 1/24*z**3. Factor o(m).
-m*(m - 1)**2*(m + 1)**2/4
Let l(d) be the third derivative of d**6/600 + d**5/100 - 13*d**4/120 - d**3/2 - 27*d**2. Factor l(x).
(x - 3)*(x + 1)*(x + 5)/5
Let m be -5 + 8/(-14)*2996/(-321). Solve 0 + 0*f**3 + 2/3*f + m*f**4 - f**2 = 0.
-2, 0, 1
Determine y, given that -y**4 - 18 + 10*y**4 - 3*y**4 + 28*y**2 + 25*y**3 - 48*y + 7*y**3 = 0.
-3, -1/3, 1
Suppose -5 = -c - 1. Let u(q) = -q**3 - 10*q**2 - 3*q - 28. Let i be u(-10). Find j, given that -4*j - c*j - 2*j**i + 0*j - 2*j**2 = 0.
-2, 0
Factor 26 + 3 + 8 + 39*a + 45 - a**2.
-(a - 41)*(a + 2)
Let r(z) = z**3 - 2*z**2 - 2*z. Suppose c - 2*c - 2 = 0. Let x(s) = -18*s + 17*s - s + 3*s. Let i(t) = c*r(t) - 6*x(t). Let i(p) = 0. What is p?
0, 1
Let x(c) be the second derivative of -c**4/4 + 3*c**3/2 - 3*c**2 - 73*c. Factor x(d).
-3*(d - 2)*(d - 1)
Let c(j) be the third derivative of -j**6/1260 + j**5/105 + 5*j**4/84 - 11*j**3/3 - 20*j**2. Let f(l) be the first derivative of c(l). Factor f(z).
-2*(z - 5)*(z + 1)/7
Let t(s) = -3*s**3 - 45*s**2 - 24*s - 36. Let v(y) = y**3 + 13*y**2 + 7*y + 10. Let h(a) = -5*t(a) - 18*v(a). Factor h(l).
-3*l*(l + 1)*(l + 2)
Let k(u) be the second derivative of -u**6/300 + u**5/150 + u**4/60 - u**3/15 + 3*u**2/2 + 27*u. Let g(o) be the first derivative of k(o). Factor g(b).
-2*(b - 1)**2*(b + 1)/5
Let r(o) be the first derivative of o**7/630 - o**6/270 - o**5/90 + o**4/18 + 10*o**3/3 + 17. Let j(k) be the third derivative of r(k). Factor j(s).
4*(s - 1)**2*(s + 1)/3
Let -12/5*a + 0 + 8/5*a**2 + 4/5*a**3 = 0. What is a?
-3, 0, 1
Suppose 27 + 8 = 4*t - 3*i, -2*t + 7 = -5*i. Factor 5*r**3 + 20*r**2 + t*r**2 - 26*r**2 - 5*r**4 - 5*r.
-5*r*(r - 1)**2*(r + 1)
Let s(d) be the third derivative of -7*d**5/15 + 19*d**4/6 + 4*d**3 - 14*d**2 + 5*d. Factor s(o).
-4*(o - 3)*(7*o + 2)
Let z(n) = 3*n**5 - 4*n**4 - 26*n**3 + 33*n**2 + 13*n - 19. Let l(k) = 0 - k**3 + 1 - 3 + 3 - k + k**4. Let h(x) = 5*l(x) - z(x). Suppose h(b) = 0. Calculate b.
-2, -1, 1, 4
Let o(d) be the first derivative of -d**7/378 + d**5/180 + 20*d - 1. Let y(z) be the first derivative of o(z). What is q in y(q) = 0?
-1, 0, 1
Let o = -815 + 817. Factor -13/6*k**o + 1/3*k + 0 + 7/2*k**3.
k*(3*k - 1)*(7*k - 2)/6
Let o(w) be the third derivative of w**5/20 + 9*w**4/2 + 162*w**3 + 593*w**2. Solve o(t) = 0.
-18
Let q(g) = 8*g**4 + 8*g**3 - 8*g - 4. Let h(a) = -a**4 - a**3 - a**2 + a + 1. Let i(x) = -4*h(x) - q(x). Factor i(n).
-4*n*(n - 1)*(n + 1)**2
Let q(n) be the second derivative of -2*n + 5/3*n**4 + 0 - 1/4*n**5 + 5*n**2 - 25/6*n**3. Find z such that q(z) = 0.
1, 2
Let z be (3/14)/(((-456)/3344)/((-2)/11)). Factor 0 - 6/7*i**4 + z*i - 10/7*i**2 + 2*i**3.
-2*i*(i - 1)**2*(3*i - 1)/7
Let p(c) be the first derivative of -25/6*c - 6 - 1/18*c**3 + 5/6*c**2. Let p(q) = 0. Calculate q.
5
Let q(w) be the second derivative of w**7/420 + w**6/180 - w**5/60 - w**4/12 - 2*w**3/3 + 15*w. Let j(y) be the second derivative of q(y). Solve j(o) = 0 for o.
-1, 1
Let b(o) be the third derivative of -o**5/80 - 17*o**4/32 - 2*o**3 - 92*o**2. Solve b(v) = 0 for v.
-16, -1
Let j = -339 - -3061/9. Let t = j + -23/45. Factor -t*l + 3/5*l**2 - 6/5.
3*(l - 2)*(l + 1)/5
Let s = 7 + -8. Let l = 3 + s. Determine r, given that -6*r + 20 - 4*r**3 + 21*r**l - 11*r**3 - 20 = 0.
0, 2/5, 1
Let m(t) be the first derivative of 3*t**5/10 - 17*t**4/8 + 31*t**3/6 - 23*t**2/4 + 3*t - 147. Find n such that m(n) = 0.
2/3, 1, 3
Let k(o) = o**2 - 5*o - 14. Let b be k(10). Factor b*s + 41*s + 12 + 363*s**2 + 55*s.
3*(11*s + 2)**2
Let s be (-3)/(-6)*(-16)/(-18). Suppose 19*d - 15*d = 12. Determine u so that -2/3*u + 2/9*u**d + s + 0*u**2 = 0.
-2, 1
Let y(d) = d**2 - 4*d - 36. Let v be y(9). Suppose -v*t = -t - 24. Suppose 0 - 4/3*w - 2/3*w**t - 2*w**2 = 0. What is w?
-2, -1, 0
Let f(x) = -4*x**5 - 10*x**4 + 4*x**3 + 8*x**2 + 2*x. Let v(s) = -5*s**5 - 11*s**4 + 5*s**3 + 8*s**2 + 3*s. Let z(n) = -3*f(n) + 2*v(n). Factor z(d).
2*d**2*(d - 1)*(d + 1)*(d + 4)
Let p = -40 - -42. Factor -3 - p*x**3 + 2 + 2*x - 1 + 2*x**2.
-2*(x - 1)**2*(x + 1)
Let b = 1340 + -1340. Factor -2/17*c**2 + 0 + b*c.
-2*c**2/17
Let p = 79 - 77. Factor 2*u**2 - 3*u**3 + 98 - 124*u - 61*u + 42*u**p + 10*u.
-(u - 7)**2*(3*u - 2)
Let k(j) be the third derivative of j**6/1080 - j**5/180 + j**4/72 - j**3/6 - 9*j**2. Let o(t) be the first derivative of k(t). Find z such that o(z) = 0.
1
Let d be -1*(-11 + (1 - -8)). Let -d*j**2 - 3 - 3/2*j**3 + 13/2*j = 0. Calculate j.
-3, 2/3, 1
Let a(f) be the second derivative of 33*f - 100*f**2 - f**5 - 52/3*f**4 + 0 - 290/3*f**3. Factor a(k).
-4*(k + 5)**2*(5*k + 2)
Let m be (0 + 2 + -12)*2/(-36). Factor 7/9*t + m*t**2 + 1/9*t**3 + 1/3.
(t + 1)**2*(t + 3)/9
Factor 0 - 31/6*d + 1/6*d**2.
d*(d - 31)/6
Suppose 11 = -2*m + 43. Factor -80*r + 46 + m*r**3 - 146 + 156*r**2 + 440*r.
4*(r + 5)**2*(4*r - 1)
Let -20/13*u - 14/13*u**4 + 0 - 46/13*u**2 + 80/13*u**3 = 0. Calculate u.
-2/7, 0, 1, 5
Let 135*s**4 - 27*s**2 - 225*s**3 - 8*s**5 - 22*s**5 + 142*s**2 + 10*s**2 + 3*s**5 = 0. Calculate s.
0, 5/3
Let c = -1593 - -1597. Let s(q) be the second derivative of -1/6*q**6 + 0*q**c - 2*q + 0*q**2 + 0 + 0*q**3 - 1/4*q**5. Solve s(z) = 0.
-1, 0
Let w = 20317 + -20314. Factor 2/15*p**w - 2/3*p**2 + 16/15*p - 8/15.
2*(p - 2)**2*(p - 1)/15
Find r, given that -29*r**4 - 26*r**4 - 24*r**4 + r**2 + 78*r**4 = 0.
-1, 0, 1
Suppose 9*p + 45*p**3 - 65*p**2 + 3 - 10*p**4 - 6*p**4 + 3 + 17*p**2 + 4*p**4 = 0. Calculate p.
-1/4, 1, 2
Suppose 0 = -33*j - 38*j + 44*j. Factor j - 2/3*t - 3*t**2 - 4/3*t**3.
-t*(t + 2)*(4*t + 1)/3
Let r be (((-13)/(-195))/(-1 + 0))/(54/(-180)). Suppose -w - 4 = -4*o, w = -3*o - 0 - 4. Suppose 8/9*s - r*s**2 + o = 0. Calculate s.
0, 4
Let p(c) be the third derivative of c**6/20 + 23*c**5/40 + 13*c**4/8 - 2*c**3 + 200*c**2. Factor p(g).
3*(g + 2)*(g + 4)*(4*g - 1)/2
What is u in -62*u**4 + 107*u**4 - 2*u**3 - 53*u**4 - 2*u**5 + 16*u**2 - 4*u**2 = 0?
-3, -2, 0, 1
Let r be (13 - 5)*(-110)/(-1056). Factor -1/6*x**2 + 1/2*x**4 - 1/3 - 5/6*x**3 + r*x.
(x - 1)**2*(x + 1)*(3*x - 2)/6
Let u(n) be the first derivative of 8*n**3/3 + 26*n**2 + 44*n - 13. Factor u(s).
4*(s + 1)*(2*s + 11)
Suppose -5*y + 11 + 2 = m, -y - 4 = -2*m. Factor m*l**2 + 8*l**2 + 8*l - 5*l**2 + 2*l**2 - 6*l**3.
-2*l*(l - 2)*(3*l + 2)
Let k(h) be the first derivative of h**6/900 - h**5/75 - h**4/12 + 3*h**3 - 21. Let y(s) be the third derivative of k(s). Factor y(j).
2*(j - 5)*(j + 1)/5
Let j(x) = 7*x**3 - 4*x**2 - 9*x + 10. Let w(f) = 57*f**3 - 33*f**2 - 72*f + 81. Let m(l) = 6*l - 3. Let y be m(6). Let z(s) = y*j(s) - 4*w(s). Factor z(g).
3*(g - 1)**2*(g + 2)
Let u be 2 - ((-63)/27)/((-63)/54). Factor 2/13*h - 2/13*h**2 + u.
-2*h*(h - 1)/13
Suppose 31*q - 44 = 29*q. Determine i so that 8 + 10*i - 7*i**2 + 4*i**2 + 7 - q*i = 0.
-5, 1
Let t = -7006/5 + 14097/10. Suppose 3*r**2 + 7/2*r**4 + 0*r + 0 - t*r**3 = 0. What is r?
0, 3/7, 2
Let p(u) = -u**3 - u - 1. Suppose 7*o = -5 - 2. Let t(c) = 35*c**3 - 15*c**2 - 15*c + 5. Let l(m) = o*t(m) - 30*p(m). Let l(d) = 0. What is d?
-1, 5
Factor 141/4*l**3 + 1233/4*l + 210*l**2 - 27/2.
3*(l + 3)**2*(47*l - 2)/4
Let s = -68 - -73. Let t**2 - 3 + 3 - 1 + 4*t + s = 0. What is t?
-2
Suppose 2*o + 0*f = -3*f - 25, 5*f = 3*o + 47. Let n = o - -22. Determine u, given that 0*u**4 + 10*u**2 + n*u**2 - 24*u**3 + 10*u**4 - 4*u = 0.
0, 2/5, 1
Suppose -7*q = -6*q + 3. Let h = q - -5. Let 1/3*f**h + 2/3 - f = 0. What is f?
1, 2
Let h(t) = t**3 - 3*t**2 + 2*t - 4. Let f be h(4). Let d be (0 + 4)*-1 + f. Factor -4*l**3 - 16*l**4 - 3*l**5 - 9 + 40*l**2 + d*l - 23 - l**5.
-4*(l - 1)**2*(l + 2)**3
Let p(n) be the second derivative of -n**6/10 + 6*n**5/5 + 33*n**4/4 + 2*n**3 - 66*n**2 + 3*n - 42. Factor p(c).
-3*(c - 11)*(c - 1)*(c + 2)**2
Let s(b) be the second derivative of 1/70*b**7 + 0*b**6 + 0 + 0*b**3 + 0*b**4 - 3/100*b**5 + 0*b**2 + 6*b. Factor s(g).
3*g**3*(g - 1)*(g + 1)/5
Let q(k) = 10*k**3 - 25*k**2 + 25*k + 30. Let i(l) = l**3 - l**2. Let y(v) = 15*i(v) - q(v). Factor y(r).
5*(r - 2)*(r + 1)*(r + 3)
Let f = 2 + -2. Suppose f = 8*n - 4*n - 20. Factor 3*z**4 - 2*z - 3*z**3 + 6*z**n -