vative of -y**4/6 + 2*y**3 - 20*y**2/3 - 10. Factor b(m).
-2*m*(m - 5)*(m - 4)/3
Let t(p) = -50*p**4 + 295*p**3 + 925*p**2 - 5925*p - 15420. Let y(h) = -7*h**4 + 42*h**3 + 132*h**2 - 846*h - 2203. Let z(n) = -2*t(n) + 15*y(n). Factor z(v).
-5*(v - 7)**2*(v + 3)**2
Let s(o) = 55*o**3 + 10*o**2 - 120*o + 55. Let d be 64/(-11) - (46/11 + -4). Let b(v) = -5*v**3 - v**2 + 11*v - 5. Let i(w) = d*s(w) - 65*b(w). Factor i(a).
-5*(a - 1)**2*(a + 1)
Let l = 10 + -7. Suppose 0 = -3*o - l, 21 = 2*b - 2*o + 1. Factor -b - 11 + 4*v**3 - 8*v + 20 - 4*v**2.
4*v*(v - 2)*(v + 1)
Factor 0 + 2/9*d**2 - 2/9*d**4 + 4/9*d**3 - 4/9*d.
-2*d*(d - 2)*(d - 1)*(d + 1)/9
Let w(f) = 80*f + 415. Let i(t) = -t**2 + 77*t + 414. Let x(p) = 5*i(p) - 6*w(p). Factor x(m).
-5*(m + 7)*(m + 12)
Let g be (-2)/(-3) - (-119)/51. Factor -2 + 0 + 15*c**2 + 5*c**g - 8 + 0*c - 5*c - 5*c**4.
-5*(c - 2)*(c - 1)*(c + 1)**2
Let a(z) = 11*z**2 - 474*z + 28797. Let o(q) = 14*q**2 - 472*q + 28796. Let u(f) = 4*a(f) - 3*o(f). Solve u(t) = 0 for t.
120
Let x(w) = 2*w**4 + w**3 + 7*w**2 - 13*w - 6. Let t(k) = k**4 + 7*k**2 - 10*k - 4. Let h(i) = 6*t(i) - 4*x(i). Factor h(q).
-2*q*(q - 1)**2*(q + 4)
Let g(o) = o**2 - 6*o + 3. Let y be g(6). Let l(d) = 7*d**2 - 4. Let i(p) = -824*p + 15*p**2 + 410*p + 414*p - 8. Let w(h) = y*i(h) - 7*l(h). Factor w(m).
-4*(m - 1)*(m + 1)
Let x be (-3)/(-1) - (-2)/2. Let c be (-122)/18 + 85 + -68 + (-20)/2. Suppose 0 - 2/9*y**2 + 2/9*y**3 - c*y + 2/9*y**x = 0. What is y?
-1, 0, 1
Let t(m) be the third derivative of -m**6/90 + 2*m**5/5 - 6*m**4 - 10*m**3/3 + 10*m**2. Let y(q) be the first derivative of t(q). Factor y(n).
-4*(n - 6)**2
Let j(p) be the third derivative of 8*p**7/315 + 13*p**6/45 + 59*p**5/60 + 35*p**4/36 + 4*p**3/9 - 525*p**2. Factor j(l).
(l + 2)*(l + 4)*(4*l + 1)**2/3
Suppose 13 = 3*l - 14. Determine b so that -27*b + 16 - 36*b**3 - 35*b**2 + 91*b - l*b**2 = 0.
-2, -2/9, 1
Let w be -1 - (-6 + (-4 - -1)). Suppose -n = n - w. Determine o so that 0*o**4 + 2*o**5 + 21*o**3 - 16*o**2 - n*o**4 - 3*o**4 - 4*o**4 + 4*o = 0.
0, 1/2, 1, 2
Let j(z) = -6*z**3 + 75*z**2 - 144*z + 69. Let q(k) = k**3 + k. Let a(x) = -j(x) - 3*q(x). Factor a(i).
3*(i - 23)*(i - 1)**2
Let i(o) be the first derivative of -25/2*o**4 + 0*o + 65/6*o**3 - 9 - 5/2*o**2. Find g such that i(g) = 0.
0, 1/4, 2/5
Let u(v) be the first derivative of -v**5/10 + v**4/4 + 5*v**3/6 - 3*v**2/2 - 46. Factor u(t).
-t*(t - 3)*(t - 1)*(t + 2)/2
Let b(t) be the second derivative of t**5/40 + 65*t**4/24 + 341*t**3/4 - 1089*t**2/4 + 196*t. Factor b(a).
(a - 1)*(a + 33)**2/2
Let p = 98 + 86. Let m = 2394/13 - p. Factor 6/13*v**3 - 2/13*v**4 - 6/13*v**2 + m*v + 0.
-2*v*(v - 1)**3/13
Let -4*l**5 - 24*l**3 + 19*l**2 - 89*l**2 - 72 + 156*l + 24*l**4 + 8*l**5 - 8*l**5 - 10*l**2 = 0. What is l?
-2, 1, 3
Let u(w) be the third derivative of 1/90*w**6 + w**3 + 0*w + 0 + 0*w**4 + 3*w**2 - 1/630*w**7 + 0*w**5. Let q(p) be the first derivative of u(p). Factor q(g).
-4*g**2*(g - 3)/3
Let n be (18/(-8))/((-12)/(-96)). Let b(d) = -10*d**2 + 13*d + 5. Let v(c) = c**2 - c - 1. Let i(o) = n*v(o) - 2*b(o). Factor i(t).
2*(t - 2)**2
Let s(r) be the first derivative of r**9/22680 - r**7/3150 + r**5/900 - r**3/3 + 12. Let d(q) be the third derivative of s(q). Factor d(c).
2*c*(c - 1)**2*(c + 1)**2/15
Let k be 12/(-14)*(323/136 - 5). Find q such that -k*q - q**2 - 1/2 = 0.
-2, -1/4
Factor 70*y**3 - 247*y**3 + 8*y**4 + 119*y**3 + 14*y**2.
2*y**2*(y - 7)*(4*y - 1)
Let d(f) be the second derivative of 3*f**5/20 + 23*f**4/4 + 21*f**3 + 4*f + 104. Find w such that d(w) = 0.
-21, -2, 0
Let o = 1722 - 8562/5. Factor -o*b - 4/5*b**2 - 144/5.
-4*(b + 6)**2/5
Let v(f) be the first derivative of -f**6/30 - 3*f**5/25 - f**4/20 + f**3/5 + f**2/5 + 78. Determine o so that v(o) = 0.
-2, -1, 0, 1
Let t(w) = -21*w**2 - 212*w - 12321. Let m(d) = -17*d**2 - 214*d - 12321. Let y(f) = -5*m(f) + 4*t(f). Find x such that y(x) = 0.
-111
Let w(l) = -3*l**3 + l**2 + 6*l + 2. Let x = -65 + 69. Let b(n) = 7*n**3 - 3*n**2 - 12*n - 5. Let q(g) = x*b(g) + 10*w(g). Let q(u) = 0. What is u?
-3, 0, 2
Suppose -8 + 67 = t. Suppose 25*l = 26*l - 66. Suppose t*k**4 - l*k**3 - 35*k**4 - 3*k**5 - 36*k**2 + 108*k**2 - 27*k = 0. Calculate k.
0, 1, 3
Let s be ((-20)/60)/(-5*1/3). Factor -2/5*k + 0*k**2 + 1/5*k**4 + 2/5*k**3 - s.
(k - 1)*(k + 1)**3/5
Let i = 59 - 56. Let v(o) be the second derivative of 0*o**2 - 4*o + o**i + 0 + 3/4*o**4. Determine p so that v(p) = 0.
-2/3, 0
Let i be (7/3 - (5 + -3))*555. Let x = i + -182. Determine f so that 0*f**2 + 4/3 + 2/3*f**x - 2*f = 0.
-2, 1
Let t(o) be the second derivative of 0*o**2 - 5/21*o**4 + 2/105*o**6 - 2/7*o**3 + 13*o + 0 - 1/35*o**5. Factor t(k).
4*k*(k - 3)*(k + 1)**2/7
Let f(i) be the first derivative of 6*i**3/19 + 660*i**2/19 + 24200*i/19 + 433. Factor f(n).
2*(3*n + 110)**2/19
Suppose 4*h - 6 - 2 = 0. Factor 2*q**3 - 6*q**2 + 4*q + 0*q**h + 0*q**2.
2*q*(q - 2)*(q - 1)
Let x(s) be the third derivative of -1/24*s**3 - 3/80*s**5 + 1/120*s**6 + 1/16*s**4 + 0*s + 0 - 11*s**2. Factor x(h).
(h - 1)**2*(4*h - 1)/4
Suppose -2*y + 5*y = -5*t + 1, 4*y - 4*t = 44. Let o be 2/y*6*(-28)/(-12). Suppose 25/3*w**5 + 34/3*w**2 - 80/3*w**o - 20/3*w + 49/3*w**3 - 8/3 = 0. What is w?
-2/5, 1, 2
Factor -3*q**2 + 117/4*q - 3/4*q**3 - 81/2.
-3*(q - 3)*(q - 2)*(q + 9)/4
Let w = 53 + -53. Let r(j) be the third derivative of -1/70*j**7 + 1/40*j**6 + 0*j - 1/8*j**4 + 1/20*j**5 + 0 + 6*j**2 + w*j**3. Determine s so that r(s) = 0.
-1, 0, 1
Let t be (-52)/(-252) + 48/(-504). Let o(j) be the first derivative of 4 - t*j**3 + 1/3*j**2 - 1/3*j. Find i such that o(i) = 0.
1
Let r(z) be the second derivative of -z**7/56 + z**6/24 + z**5/80 - 5*z**4/48 + z**3/12 - 274*z. What is b in r(b) = 0?
-1, 0, 2/3, 1
Factor -1/2*p**2 + 2*p + 6.
-(p - 6)*(p + 2)/2
Let f(j) be the first derivative of -3*j**5/5 + 15*j**4/4 + 21*j**3 - 255*j**2/2 - 300*j - 472. Solve f(x) = 0.
-4, -1, 5
Suppose -3*r - 6 = -6*r. Let g(j) be the third derivative of 2/3*j**3 - 1/3*j**4 + 0 - 7*j**r + 1/15*j**5 + 0*j. Factor g(q).
4*(q - 1)**2
Let l(z) be the third derivative of z**5/30 + 19*z**4/9 - 52*z**3/9 + 185*z**2. Factor l(c).
2*(c + 26)*(3*c - 2)/3
Let b(u) = u**2 - 17*u + 52. Let v be b(4). Let i(l) be the third derivative of -1/240*l**5 + 0*l + 8*l**2 + 0*l**3 + v + 0*l**4. Let i(n) = 0. What is n?
0
Let g = 11 - 9. Find b, given that 2*b**2 + 0*b**2 + 12*b + 7*b**g + 3*b**4 - 12 - 12*b**3 + 0*b**4 = 0.
-1, 1, 2
Let u be (-77)/(-33) + 2/(-6). Suppose -9 = u*s - 9. What is i in -1/3*i**3 + s*i**2 + 1/3*i + 0 = 0?
-1, 0, 1
Find c such that -600*c**2 - 90 + 3*c + 1199*c**2 - 596*c**2 = 0.
-6, 5
Let n = -10 + 12. Suppose -n = -4*s + 10. Factor -5 + 7 - v**s + 3*v + 0*v**3.
-(v - 2)*(v + 1)**2
Let x(s) be the second derivative of s**5/20 - 3*s**4/4 + 23*s**3/6 - 15*s**2/2 + 12*s. Factor x(r).
(r - 5)*(r - 3)*(r - 1)
Let n(h) = -13*h**2 - 805*h + 64. Let r be n(-62). Factor -2/13*w**4 - 8/13 - 4/13*w**3 + 8/13*w + 6/13*w**r.
-2*(w - 1)**2*(w + 2)**2/13
Suppose -5*t + 18 = -2*t. Factor -4*o**3 - 3*o**2 + 2*o + o**2 + t + 2*o**3 - 4.
-2*(o - 1)*(o + 1)**2
Let k(a) be the second derivative of 0*a**2 + 4 + a - 1/50*a**6 + 2/5*a**3 - 3/100*a**5 + 1/5*a**4. What is x in k(x) = 0?
-2, -1, 0, 2
Suppose 45*h - 89 = 91. Let r(d) be the first derivative of -1/8*d**h + 0*d + 5 - 1/24*d**3 - 3/40*d**5 + 0*d**2. Solve r(a) = 0.
-1, -1/3, 0
Let p be (-3 + (-1 - -16))*(-4)/(-3). Factor 13*c**2 - 19 + p - 21 + 21*c - 10*c**2.
3*(c - 1)*(c + 8)
Let v = 1933/5 + -386. Let b(z) be the second derivative of v*z**5 + 5/2*z**3 - 11/4*z**4 + 0 + 4*z + 3*z**2. Determine x, given that b(x) = 0.
-1/4, 1, 2
Let o(y) be the third derivative of -5*y**8/672 + y**7/84 + y**6/48 - y**5/24 - y**2 - 6*y. Determine m, given that o(m) = 0.
-1, 0, 1
Suppose -4*f + 5*v = -585, -2*f - 5*v = -3*f + 135. Solve 72*l**2 - 45*l**4 + f*l**5 - 12*l + 17 - 17 - 111*l**3 = 0.
-1, 0, 2/5, 1/2
Let d be 8 - 17/((-1445)/(-650)). Suppose -4 = -l, 3*o = o - l + 10. Factor 0 - 4/17*w - 2/17*w**o + d*w**2.
-2*w*(w - 2)*(w - 1)/17
Let c(d) be the second derivative of d**4/42 - 10*d**3/21 - 75*d**2/7 - 377*d. Factor c(b).
2*(b - 15)*(b + 5)/7
Let z(r) be the first derivative of -r**4/8 - 11*r**3/6 - 35*r**2/4 - 25*r/2 - 88. Factor z(f).
-(f