 be the first derivative of 28/3*t**3 - 2*t**4 - 3*t**2 - 24/5*t**5 - 4*t + p*t**6 - 5. Factor h(y).
2*(y - 1)**3*(y + 1)*(7*y + 2)
Let j(x) be the first derivative of -3 - 1/2*x**2 - 1/24*x**3 - 2*x. Factor j(q).
-(q + 4)**2/8
Let l(k) = -k**3 - 7*k**2 + 10*k. Let c be l(-8). Let i = c - -19. Solve -2*t**2 - 15*t + t**i + 2*t**3 - 9 - 2*t**2 + t**2 = 0 for t.
-1, 3
Let n = 1520 - 1515. Let v(z) be the third derivative of -1/6*z**3 + 0*z + 1/240*z**n - 6*z**2 - 1/480*z**6 + 0 + 1/24*z**4. Factor v(w).
-(w - 2)*(w - 1)*(w + 2)/4
Let k(t) be the second derivative of t**5/70 - 4*t**4/7 + 60*t**3/7 - 400*t**2/7 - 31*t + 5. Factor k(f).
2*(f - 10)**2*(f - 4)/7
Let j(k) = k + 12. Let s be j(-7). Factor -6*u**4 + 4*u**s + 6*u**2 - 11*u + 8*u - u**5.
3*u*(u - 1)**3*(u + 1)
Let p(m) = -461*m**3 - m**2 + 1. Let f be p(-1). Let f - 4*n**2 - 461 = 0. What is n?
0
Let o(l) = 2*l**2 - 27*l - 374. Let x be o(22). What is n in -16/9*n**2 + x - 10/9*n**3 + 8/9*n = 0?
-2, 0, 2/5
Find o, given that 45/4*o**3 - 51/4*o**2 + 0 + 3/4*o**5 + 51/4*o**4 - 12*o = 0.
-16, -1, 0, 1
Let m = 94 - 90. Suppose -24*l + 2*l**3 + 15*l + 11*l - m*l**2 = 0. What is l?
0, 1
Let v be ((-2)/32)/(227/(-908)). Suppose 5/8*f + v*f**2 + 1/4 = 0. What is f?
-2, -1/2
Factor -7*d**3 + 10219*d**2 - 10215*d**2 - d**3 + 5*d**4 - d**5.
-d**2*(d - 2)**2*(d - 1)
Let l be -50 - (-5 - (-2)/4*4). Let s be ((-3)/(-42))/((-4)/(-1 + l)). Factor 2/7*i**5 + s*i**4 + 2/7*i**2 + 0*i + 6/7*i**3 + 0.
2*i**2*(i + 1)**3/7
Let q = -18886 - -56660/3. Factor -16/3*i - 6 + q*i**2.
2*(i - 9)*(i + 1)/3
Let r(b) be the third derivative of b**7/70 - b**6/20 + b**4/4 - b**3/2 - 45*b**2. Factor r(f).
3*(f - 1)**3*(f + 1)
Let y(f) be the third derivative of -f**10/756000 + f**8/100800 + 3*f**5/20 + 34*f**2. Let b(c) be the third derivative of y(c). Factor b(g).
-g**2*(g - 1)*(g + 1)/5
Factor 1/5*b**2 - 9/5*b + 4.
(b - 5)*(b - 4)/5
Factor 3/2*d**2 + 4107/2 - 111*d.
3*(d - 37)**2/2
Let r(u) be the third derivative of 0 - 1/15*u**5 + 0*u**6 + 16*u**2 - 1/336*u**8 + 0*u**4 + 0*u + 1/70*u**7 + 0*u**3. Factor r(p).
-p**2*(p - 2)**2*(p + 1)
Factor 114/7*h**2 + 3/7*h**3 + 1083/7*h + 0.
3*h*(h + 19)**2/7
Let k be ((-3)/(-9)*9)/(2/2). Factor -3 + 24*l + 6*l**2 + 12*l**k + 16 - 5 + 2*l**4 + 20*l**2.
2*(l + 1)**2*(l + 2)**2
Let s(j) = j**3 - 20*j**2 + 18*j + 22. Let v be s(19). Factor 9*f**2 - 6*f**2 + v*f + f + 2*f.
3*f*(f + 2)
Let x = 117724 - 1058266/9. Factor 40/9*h**3 + 1000/9*h + 2/9*h**4 + x + 100/3*h**2.
2*(h + 5)**4/9
Let w be ((-14)/(-21))/((-4)/6). Let s be 2 - (-1)/w - -5. Suppose -32*a + 0 - 9*a**2 + 30*a**2 + s + 5*a = 0. What is a?
2/7, 1
Let n(y) = 3*y + 47. Let x be n(-15). Let o = 45 - 42. Suppose -2/5*b**o - 4/5 + 2/5*b + 4/5*b**x = 0. What is b?
-1, 1, 2
Let t(v) be the third derivative of 5/1008*v**8 + 0*v**3 + 0*v**4 - 16*v**2 + 0*v**5 + 0*v**6 + 0*v**7 + 0*v + 0. Factor t(y).
5*y**5/3
Factor 20/7*o - 2/7*o**2 - 18/7.
-2*(o - 9)*(o - 1)/7
Let d = -2 - -4. Suppose -8 = -d*r - 2*r. Let 19*n + 1 - 20*n + 2*n**3 - n**3 - n**r = 0. Calculate n.
-1, 1
Factor 15/4*q**2 + 21/8*q - 9/8.
3*(q + 1)*(10*q - 3)/8
Let u(y) be the third derivative of y**7/210 + y**6/120 - y**5/12 + y**4/8 - 38*y**2 + 1. Let u(i) = 0. Calculate i.
-3, 0, 1
Let y = 0 - -5. Let h(f) = 2*f**3 + 22*f**2 - 50*f + 58. Let i(z) = -3*z**3 - 23*z**2 + 49*z - 59. Let t(d) = y*h(d) + 4*i(d). Factor t(o).
-2*(o - 3)**3
Let k = 284 + -281. Let p(l) be the third derivative of 0*l**5 - 3*l**2 - 1/120*l**6 + 0*l**4 + 0*l + 0*l**k + 0. Factor p(j).
-j**3
Let b(t) be the first derivative of 3/10*t**5 + 9*t**3 - 3*t**4 + 15/2*t - 12*t**2 + 10. Find p, given that b(p) = 0.
1, 5
Let l = 41 - 39. Factor l*n**4 - 6*n + 27*n**2 - 17*n**3 + 7*n**3 - 13*n**2.
2*n*(n - 3)*(n - 1)**2
Let q(j) = -j**2 - 16*j - 16. Let i be q(-15). Let c be ((-4)/(-28)*i)/((-4)/12). Factor c*d**2 + 9/7 + 12/7*d.
3*(d + 1)*(d + 3)/7
Let z = -80 - 23. Let n = -100 - z. Solve 0*s + 0 - 3/4*s**4 + 3*s**2 + 9/4*s**n = 0 for s.
-1, 0, 4
Suppose -2*x + 66 = 10. Let m be ((-152)/30)/(x/(-42)). Solve m*s**2 - 8/5*s**5 - 14/5*s + 32/5*s**4 + 2/5 - 10*s**3 = 0.
1/2, 1
Solve 6503*j**2 - 80*j - 6579*j**2 + 5*j**3 + 4*j**3 - 5*j**3 = 0.
-1, 0, 20
Let l(h) = h**3 - 2*h**2 - 58*h + 37. Let z be l(-7). Factor 6/7*r + 3/7*r**z + 3/7.
3*(r + 1)**2/7
Suppose 15 = 2*t + t. Suppose 5*h + 3*y + 5 = 0, 2*h + 16 = t*y + 45. Factor 2/7*c - 2/7*c**h + 2/7*c**4 + 0 - 2/7*c**3.
2*c*(c - 1)**2*(c + 1)/7
Let g be (5 - (-80)/(-15))/(1/(-9)). Factor -3*c**4 - 2*c**3 + g*c**3 + 5*c**3 - c**3 + c**2 + 2 - 5*c.
-(c - 1)**2*(c + 1)*(3*c - 2)
Let w = 402/235 + 6/1645. Factor 2*h + w + 2/7*h**2.
2*(h + 1)*(h + 6)/7
Suppose -4*v + 32 = v + 2*a, 4*v = -2*a + 24. Factor 7*q**2 - q**2 - 3*q**2 + 20 - v*q**2.
-5*(q - 2)*(q + 2)
Let u(r) = -r**4 - r**3 + r**2 + r - 2. Let i = -61 - -50. Let z(k) = 5*k**4 + 6*k**3 - 5*k**2 - 6*k + 11. Let y(g) = i*u(g) - 2*z(g). Factor y(c).
c*(c - 1)**2*(c + 1)
Suppose -10 = 3*w + 2. Let d(a) = a**2. Let j(o) = 5*o**2 + 2*o + 1. Let y(s) = w*d(s) + j(s). Factor y(m).
(m + 1)**2
Let n be 150/(-54) - 9 - -12. Factor 4/9 + n*q - 2/9*q**2.
-2*(q - 2)*(q + 1)/9
Suppose 5*q = 2*q + 69. Let n = q - 23. Factor -1/2*p**4 + 0*p**2 + 0*p + p**3 + n.
-p**3*(p - 2)/2
Factor -116*g**4 - 60*g**2 + 112*g**4 + 60*g**2 + 4*g**3.
-4*g**3*(g - 1)
Let p be 42/35 - (-2)/(-5)*-2. Let n be (8/(-14))/(-2) + (-32)/(-280). Determine q so that -n*q**p + 0*q + 0 - 4/5*q**3 = 0.
-1/2, 0
Let s(f) be the third derivative of -f**9/15120 + f**8/6720 + f**7/1260 - 5*f**4/6 - 27*f**2. Let i(x) be the second derivative of s(x). Factor i(l).
-l**2*(l - 2)*(l + 1)
Let p be (-6)/(-5)*11/(-6)*2370/(-2607). Factor 2/11*g**p + 0 + 2/11*g.
2*g*(g + 1)/11
Let x = 23 - 19. Factor 207*y**3 + 4*y**x + 108*y**2 + 108*y + 205*y**3 - 376*y**3.
4*y*(y + 3)**3
Let o(y) be the third derivative of -24*y**2 + 1/510*y**5 + 4/51*y**3 - 5/204*y**4 + 0 + 0*y. Determine q, given that o(q) = 0.
1, 4
Let q(y) be the first derivative of -y**5/60 - y**4/12 - y**3/6 + 3*y**2 + 13. Let w(j) be the second derivative of q(j). Suppose w(m) = 0. What is m?
-1
Determine r so that 2/25*r**2 - 4/25 - 2/25*r = 0.
-1, 2
Let o = 690 + -688. Let y(n) be the first derivative of -1/7*n**2 + 2/21*n**3 - 4/7*n - o. Find m such that y(m) = 0.
-1, 2
Let j = -76 + 102. Let l be j/12 + (-2)/(7 + 5). Factor -1/5*o + 0 - 1/5*o**3 - 2/5*o**l.
-o*(o + 1)**2/5
Let c(l) = 3*l**4 + l**3 - 9*l**2 - 5*l + 2. Let m(z) = -13*z**4 - 4*z**3 + 46*z**2 + 26*z - 11. Let p(b) = -33*c(b) - 6*m(b). Factor p(f).
-3*f*(f - 1)*(f + 1)*(7*f + 3)
Let m(f) be the first derivative of 2*f**2 - 14*f - 10. Let d be m(4). Factor -6/11*v**d + 6/11*v - 2/11 + 2/11*v**3.
2*(v - 1)**3/11
Let w(j) = 33*j + 33. Let y be w(-1). Suppose 0*m + 2/7*m**2 + 0 + y*m**3 - 2/7*m**4 = 0. What is m?
-1, 0, 1
Let o(x) be the second derivative of -x**6/150 - 13*x**5/50 - 2*x**4/5 + 13*x**3/15 + 5*x**2/2 - 47*x + 3. Find n, given that o(n) = 0.
-25, -1, 1
Let t = 170 + -150. Find m such that -1 - t*m - 3*m**2 - m**2 + 15*m = 0.
-1, -1/4
Let o(c) = -5*c**3 + 23*c**2 - 8*c - 30. Let b(x) = -17*x - 48*x**2 - 10*x**3 - 20 + 95*x**2 - 40. Let a(q) = 3*b(q) - 7*o(q). Let a(m) = 0. Calculate m.
-1, 2, 3
Let b(u) be the third derivative of -u**6/600 + 19*u**5/600 - 5*u**4/48 + 2*u**3/15 + 197*u**2. Find l such that b(l) = 0.
1/2, 1, 8
Let n be (((-256)/(-80))/(-16))/((-3)/30). Find i such that -55/2*i - 25/4*i**n - 10 = 0.
-4, -2/5
Let z(j) = -j**5 + j**2 + j + 1. Let s(h) = -24*h**5 + 54*h**4 - 40*h**3 + 14*h**2 + 6*h + 6. Let a(n) = -s(n) + 6*z(n). Solve a(b) = 0 for b.
0, 1/3, 2/3, 2
Let k = -27 - -34. Factor k*r**2 - 4 + 3*r**2 - 3*r**2 - 3*r**2.
4*(r - 1)*(r + 1)
Let t = 18290 - 18263. Factor -t + 6*s - 1/3*s**2.
-(s - 9)**2/3
Let y(t) be the first derivative of -t**5/360 + 5*t**4/144 - t**3/9 + 4*t**2 + 15. Let j(h) be the second derivative of y(h). Factor j(n).
-(n - 4)*(n - 1)/6
Let p(a) be the second derivative of -3*a**4/4 - 7*a**3/2 + 9*a**2 + 16*a - 6. Suppose p(q) = 0. What is q?
-3, 2/3
Determine z, given that 3/5*z + 1/5*z**2 - 18/5 = 0.
-6, 3
What is q in -22*q**4 - 36*q**4 + 23*q**4 - 20*q**4 + 60*q**3 - 9*q**4 + 4*q**5 = 0?
0, 1, 15
Suppose 2*c + 4*j + 0 = 16, 4*c - j + 4 = 0. Let i(d) be the second derivative of 0*d**