 11*s**2 = 0 for s.
-4/5, 0, 1
Let d(s) be the third derivative of s**5/140 - 5*s**4/28 + 25*s**3/14 - 1189*s**2. Factor d(k).
3*(k - 5)**2/7
Let w(l) be the second derivative of l**7/7 + 4*l**6/9 - 3*l**5/5 - 20*l**4/9 + l**3 + 20*l**2/3 - 60*l + 6. Let w(n) = 0. What is n?
-20/9, -1, 1
Let n(i) be the second derivative of -i**4/16 - 941*i**3/4 + 5649*i**2/8 + 7*i + 141. Factor n(q).
-3*(q - 1)*(q + 1883)/4
Let f be 809/55 - 184/23. Let o = f - 54/11. Factor 3/5*m**2 - 9/5*m + o*m**3 + 3/5*m**4 - 6/5.
3*(m - 1)*(m + 1)**2*(m + 2)/5
Let x(r) = r**2 + 9*r + 4. Let o(c) = 29*c - 23*c - 21 + 5 - 44*c - 4*c**2. Let z(m) = -4*o(m) - 18*x(m). Suppose z(i) = 0. Calculate i.
-4, -1
Let r(y) be the first derivative of -y**3/6 - 5*y**2 - 91*y/2 - 2873. Solve r(h) = 0.
-13, -7
Let v(s) be the second derivative of 0*s**2 - 1/6*s**6 - 21*s + 3/2*s**5 - 10/3*s**4 + 0 + 0*s**3. Determine z, given that v(z) = 0.
0, 2, 4
Let i(d) be the first derivative of 16 + 2/39*d**3 + 0*d**2 - 5*d - 1/78*d**4. Let v(c) be the first derivative of i(c). Factor v(y).
-2*y*(y - 2)/13
Suppose 5*v - 6 = 4*z, 3*z + 7 + 5 = 0. Let f be v/((-3 - (-29 - -4))/(-2)). Factor -f*d**2 + 0*d + 2/11.
-2*(d - 1)*(d + 1)/11
Factor -1323/2 - 3/2*z**5 - 4095/2*z - 855*z**3 - 135/2*z**4 - 2175*z**2.
-3*(z + 1)**3*(z + 21)**2/2
Let k(l) be the second derivative of 0 - 18/13*l**2 - 1/130*l**5 - 2/13*l**4 - 29/39*l**3 + 244*l. Determine d, given that k(d) = 0.
-9, -2, -1
Let i be (-100)/(-4) + -4 - 2. Suppose -14*x + i*x - 150 = 0. Factor x*t - t**2 - 3 - 5 - t**2 - 5*t**2.
-(t - 4)*(7*t - 2)
Let n(k) be the third derivative of -k**8/15680 + k**7/1960 - k**5/70 + 25*k**4/6 + 11*k**2 + k. Let x(j) be the second derivative of n(j). Factor x(r).
-3*(r - 2)**2*(r + 1)/7
Let j(w) = 12*w**2 + 86*w + 114. Let z(l) = -5*l**2 - 44*l - 55. Let a(t) = -2*j(t) - 5*z(t). Factor a(u).
(u + 1)*(u + 47)
Let x = 4941684/1029505 + -12/205901. Solve -184/5*b - x*b**3 + 2/5*b**4 + 24 + 102/5*b**2 = 0.
2, 3, 5
Let o be 2/((-8)/126)*(3 - 1). Let y = o + 65. Solve -6*s + s**2 + y*s**2 + 5*s**2 - 5*s**2 = 0 for s.
0, 2
Let g(j) = j**3 + j - 1. Let z(n) be the second derivative of -2*n**3/3 - n**2/2 - n - 1. Let p(q) = g(q) + z(q). Factor p(s).
(s - 2)*(s + 1)**2
Let a(c) = c**3 + 30*c**2 - c - 22. Let v be a(-30). Factor 84*i**2 + i**5 - v*i**3 + i**4 - 80*i**2 + 16*i - 4*i**3.
i*(i - 2)**2*(i + 1)*(i + 4)
Let l(d) = -15*d**3 + 130*d**2 - 40*d**4 - 117*d**2 + 17 + 8*d**4. Let v(r) = 11*r**4 + 5*r**3 - 4*r**2 - 6. Let g(u) = -6*l(u) - 17*v(u). Factor g(m).
5*m**2*(m - 1)*(m + 2)
Let s be (1570/1256)/(5/16). Let f(b) be the third derivative of 0*b + 0*b**3 + 15*b**2 + 0 + 0*b**s - 2/15*b**5 + 0*b**7 - 1/84*b**8 + 1/10*b**6. Factor f(u).
-4*u**2*(u - 1)**2*(u + 2)
Let a(m) = -5*m**4 - 21*m**3 - 45*m**2 - 35*m - 14. Suppose 560 = -15*o + 16*o. Let q(x) = x**3 + o - 559 - 2*x**3. Let s(f) = a(f) + 4*q(f). Factor s(i).
-5*(i + 1)**3*(i + 2)
Let o(a) be the first derivative of -a**6/180 - a**5/8 - 7*a**4/24 - 16*a**3/3 + 27. Let g(z) be the third derivative of o(z). Factor g(u).
-(u + 7)*(2*u + 1)
Factor -34/11*s - 10/11*s**2 + 42/11 + 2/11*s**3.
2*(s - 7)*(s - 1)*(s + 3)/11
Let b(z) be the first derivative of -4*z**5/5 + 85*z**4 + 692*z**3/3 + 174*z**2 - 5617. Let b(h) = 0. What is h?
-1, 0, 87
Factor -497*w**2 + 130*w**2 + 200*w + 123*w**2 - 1645 + 129*w**2 + 120*w**2.
5*(w - 7)*(w + 47)
Let c(s) be the first derivative of s**5 + 55*s**4/2 + 95*s**3 + 1561. Suppose c(i) = 0. What is i?
-19, -3, 0
Let p = 297191 - 296566. Factor 25*l - 1/4*l**2 - p.
-(l - 50)**2/4
Let d = -23217/35 - -4656/7. Let g(j) be the first derivative of -d*j**2 + 4/3*j**3 - 3/10*j**4 + 4/5*j - 30. Let g(f) = 0. What is f?
1/3, 1, 2
Let j be (-570)/18 - (-1)/(-3)*1. Let d be (822/(-1096))/(38/j - -1). Factor 0*h**2 - 2/11 + 2/11*h**d + 4/11*h**3 - 4/11*h.
2*(h - 1)*(h + 1)**3/11
Solve 1/2*c**2 - 61/2*c - 31 = 0 for c.
-1, 62
Suppose 3*x + 24 = -5*r + 43, 3*r = 2*x. Let k be -3 - (r + (-55)/10). What is c in -c**2 + 1/2*c + 0 + k*c**3 = 0?
0, 1
Let g(y) be the second derivative of y**6/240 + 27*y**5/160 + y**4 + 23*y**3/12 + 385*y. Factor g(z).
z*(z + 2)**2*(z + 23)/8
Let a(d) be the second derivative of -8/5*d**3 - 3/20*d**4 - 32/5*d**2 - 1/200*d**5 + 0 + 86*d. Factor a(h).
-(h + 2)*(h + 8)**2/10
Let t(v) = -v**3 - 4*v**2 + v + 3. Let g be t(-4). Let c = 4 + g. Find y such that y**c + 3*y**3 + 43 - 25 + 14*y**2 + 30*y - 2*y**3 = 0.
-3, -1
Let m(n) be the first derivative of 5*n**6/6 + 12*n**5 - 20*n**4 - 170*n**3/3 + 315*n**2/2 - 130*n - 465. Factor m(h).
5*(h - 1)**3*(h + 2)*(h + 13)
Let u(r) = r**2 - r + 1. Let t(o) = 12*o**2 + 69*o + 21. Suppose 0 = -6*y - 369 + 75. Let i be (-2)/5 + y/(-35). Let b(j) = i*t(j) + 3*u(j). Factor b(z).
3*(z + 4)*(5*z + 2)
Suppose -9 = -5*o - 2*g, 24*o + 3 = 21*o - 4*g. Factor 1419*t**o - 1579*t**3 - 280*t**2 - 80 - 5*t**5 - 238*t - 45*t**4 - 2*t.
-5*(t + 1)*(t + 2)**4
Let a(b) = -80*b**3 - 2105*b**2 + 7695*b + 825. Let l(s) = -3*s**3 - 78*s**2 + 285*s + 30. Let m(c) = 2*a(c) - 55*l(c). Factor m(v).
5*v*(v - 3)*(v + 19)
Let h(s) be the third derivative of -1/40*s**6 - 15/8*s**4 - 4*s**2 + 7/20*s**5 + 9/2*s**3 - 12 + 0*s. Determine a, given that h(a) = 0.
1, 3
Suppose -4*d + 3*z = -32, 41*d - 2*z - 8 = 45*d. Determine f, given that -1/4*f**2 - 1/2*f + d = 0.
-4, 2
Suppose 3*i - 4*n = -50, -4*n = -2*i - 19 - 13. Let x(t) = -t**3 - 19*t**2 - 20*t - 34. Let y be x(i). Factor -121*l**y + 121*l**2 + 2*l**3 - l**5 - l.
-l*(l - 1)**2*(l + 1)**2
Factor 211*n**3 + 95 - 77 - 6*n**2 - 208*n**3 - 15*n.
3*(n - 3)*(n - 1)*(n + 2)
Let y(z) be the second derivative of 2*z**7/63 - 4*z**6/9 + 8*z**5/5 - 22*z**4/9 + 14*z**3/9 + 223*z. Factor y(r).
4*r*(r - 7)*(r - 1)**3/3
Let j(z) = -91 + 189 + z**2 - 97. Let b(k) = 30*k**2 - 15*k - 5. Let n(g) = -b(g) + 5*j(g). Suppose n(p) = 0. Calculate p.
-2/5, 1
Let j(o) be the second derivative of 3*o**5/20 - 5*o**4 + 56*o**3 - 288*o**2 - 16*o + 12. Find b, given that j(b) = 0.
4, 12
Let z(g) be the first derivative of 3*g**4/32 + 149*g**3/8 + 219*g**2/2 + 435*g/2 - 1783. Let z(n) = 0. What is n?
-145, -2
Factor 2/3*a**3 - 12*a**2 - 320/3 + 64*a.
2*(a - 10)*(a - 4)**2/3
Let t(f) be the third derivative of 64*f**2 + 0 - 2*f + 0*f**3 + 1/8*f**4 - 1/60*f**5. Solve t(c) = 0 for c.
0, 3
Let j = 139 + -131. Suppose 12920 + j*u - 12920 - 9*u**2 + u**3 = 0. Calculate u.
0, 1, 8
Suppose -3*q + c - 9 = 4*c, 3*c + 9 = 4*q. Let j(r) be the third derivative of -2*r**2 + 1/12*r**5 + q*r + 15/2*r**3 - 5/4*r**4 + 0. Solve j(k) = 0 for k.
3
Solve -11*y - 12 - 5*y**3 + 58*y**3 - 97*y**2 + 20*y - 11*y**4 + 6*y**3 + 52*y = 0.
4/11, 1, 3
Let m be 240/(-60) + 25 + (-2)/1. Suppose -m = -u - 4*b, -76*u = -81*u - 5*b + 35. Find z, given that 1/5*z**4 + 1/5*z + 0 - 1/5*z**2 - 1/5*z**u = 0.
-1, 0, 1
Let f(a) be the first derivative of 5/3*a**3 + 0*a + 1/5*a**5 + a**2 + a**4 + 22. Factor f(p).
p*(p + 1)**2*(p + 2)
Let z(b) be the second derivative of b**4/3 - 448*b**3/3 + 25088*b**2 + 3513*b. Factor z(t).
4*(t - 112)**2
Let z(a) be the third derivative of 0*a**3 + 0 + 1/15*a**5 - 2/105*a**7 + 1/10*a**6 + 0*a - 1/2*a**4 + 42*a**2. Factor z(c).
-4*c*(c - 3)*(c - 1)*(c + 1)
Let q = 9882/1445 - 69/289. Let -21/5 - 12/5*y**2 + q*y = 0. Calculate y.
1, 7/4
Factor 5380/3*t - 2/3*t**2 - 3618050/3.
-2*(t - 1345)**2/3
Let j(l) = 926*l - 9258. Let f be j(10). Let d = -824 - -4138/5. Factor 39/5*u - 12/5*u**f + 6/5*u**4 + 3/5*u**5 - 18/5 - d*u**3.
3*(u - 1)**3*(u + 2)*(u + 3)/5
Let a(h) be the second derivative of -h**4/84 + 176*h**3/21 - 15488*h**2/7 - 156*h - 6. Find j such that a(j) = 0.
176
Let b(k) be the first derivative of k**6/30 + k**5/4 - 3*k**4/4 - 27*k**3/2 - 54*k**2 - 45*k - 73. Let t(u) be the first derivative of b(u). Factor t(l).
(l - 4)*(l + 3)**3
Let i be (-1683)/132*3/9 - (-7 - -2). Let x(v) be the second derivative of v**3 - i*v**4 + 0*v**2 - 28*v + 0 + 3/20*v**5. What is g in x(g) = 0?
0, 1, 2
Let i = 25 + -49/2. Let r be 2/(-19) - (5 + -5) - 54/(-152). Factor r*o**2 + i*o + 0.
o*(o + 2)/4
Find w such that 3553 - 16*w**2 - w + w**3 + 0*w - 3537 = 0.
-1, 1, 16
Suppose -229 + 3*b**2 - 187 - 41 + 234 - 297*b - 77 = 0. What is b?
-1, 100
Let l(n) = 47*n - 45. Let s be l(1). Suppose -147*h**3 + 525*h - 799 - 44*h**s - 