rivative of 18*b**h + 0*b + 35*b**2 + 0 + 1/70*b**7 + 13/20*b**5 - 15/2*b**4 + 1/4*b**6. Factor z(a).
3*(a - 1)**2*(a + 6)**2
Let c = 109123 - 327364/3. Find x, given that -1/3*x**2 - c*x + 1/3*x**3 - 1 = 0.
-1, 3
Let x(r) = -53*r**3 - 8217*r**2 + 621994*r + 138624. Let s(j) = -16*j**3 - 3*j**2 + 2*j. Let k(m) = 5*s(m) - x(m). Find o, given that k(o) = 0.
-2/9, 152
Let b(v) be the third derivative of -v**6/720 - v**5/48 + v**4/8 + 19*v**3/3 + 28*v**2. Let r(p) be the first derivative of b(p). Factor r(n).
-(n - 1)*(n + 6)/2
Let g(f) be the first derivative of 52*f**2 + f**4 - 64*f - 44/3*f**3 - 74. Factor g(t).
4*(t - 8)*(t - 2)*(t - 1)
Factor 7*p + 4*p**2 - 42*p - 25*p + 69*p - 173*p.
4*p*(p - 41)
Let q(m) = 12*m**5 + 21*m**4 - 54*m**3 + 6*m**2 + 69*m - 18. Let l(v) = 3*v**5 + 5*v**4 - 14*v**3 + 2*v**2 + 17*v - 5. Let w(z) = 9*l(z) - 2*q(z). Factor w(i).
3*(i - 1)**3*(i + 1)*(i + 3)
Let m(o) be the first derivative of 3*o**5/20 + 189*o**4/8 + 249*o**3/4 + 93*o**2/2 + 1394. Find r, given that m(r) = 0.
-124, -1, 0
Let q be ((-39)/26)/(6/200). Let x = -45 - q. Factor -43*g + 15*g**2 + 20*g**4 + x*g**2 + 5*g**5 + 48*g + 30*g**3.
5*g*(g + 1)**4
Let p(u) be the first derivative of u**6/6 - 8*u**5/5 + 11*u**4/2 - 8*u**3 + 9*u**2/2 - 1359. Find c such that p(c) = 0.
0, 1, 3
Let k be (48/(-9))/((-24)/72). Let b(u) be the first derivative of -k + 1/12*u**3 - 1/8*u**2 + 0*u. Solve b(j) = 0.
0, 1
Let i(j) be the first derivative of 38*j**3/15 + 43*j**2/10 + j - 911. Find y, given that i(y) = 0.
-1, -5/38
Let v(i) = -185*i - 735. Let l be v(-4). Let s(j) be the first derivative of 0*j**2 + 3/4*j**4 + 3/5*j**l - 20 + 0*j**3 + 0*j. Solve s(t) = 0 for t.
-1, 0
Let d(s) be the third derivative of 0 - 3/560*s**7 + 11/320*s**6 + 0*s + 9/64*s**4 + 64*s**2 - 1/8*s**3 - 3/32*s**5. Suppose d(g) = 0. What is g?
2/3, 1
Let p be ((-2079)/81 - -24)/((-5)/18). Let h(l) be the first derivative of 1/2*l**6 + 0*l**5 + p*l - 11 + 9/2*l**2 - 2*l**3 - 3*l**4. Factor h(n).
3*(n - 2)*(n - 1)*(n + 1)**3
Let s(l) be the third derivative of -l**8/112 - l**7/5 + 33*l**6/20 - 26*l**5/5 + 71*l**4/8 - 9*l**3 + 261*l**2. Find d, given that s(d) = 0.
-18, 1
Let l = -123 - -155. Solve -2*o**2 + l - 223*o - 8*o**2 + 147*o = 0 for o.
-8, 2/5
Let r(m) be the third derivative of -m**6/30 - 4*m**5/5 - 53*m**2 - 13*m. Find l such that r(l) = 0.
-12, 0
Factor 3*r**4 + 419*r**2 - 102*r**2 + 3*r**4 - r**4 + 90*r**3 + 158*r**2 + 630*r.
5*r*(r + 2)*(r + 7)*(r + 9)
Let b(y) be the third derivative of y**9/6720 - y**8/1792 - y**7/315 - y**6/240 + 65*y**4/24 + 126*y**2. Let o(k) be the second derivative of b(k). Factor o(s).
s*(s - 3)*(3*s + 2)**2/4
What is s in 225*s + 12*s**3 - 253*s - 184*s**2 - 23 + 319*s - 201 + 441*s = 0?
1/3, 7, 8
Let j(z) be the second derivative of z**6/120 + z**5/10 - 5*z**4/8 + 13*z**3/6 + 28*z. Let a(c) be the second derivative of j(c). Solve a(b) = 0 for b.
-5, 1
Let v(i) = 12*i**5 - 28*i**4 + 36*i**3 + 12*i**2 + 64*i + 16. Let p(m) = -m**5 + m**4 - 2*m**3 - 4*m - 1. Let j(s) = -16*p(s) - v(s). Factor j(x).
4*x**2*(x - 1)*(x + 1)*(x + 3)
Let k be -4*(1 + (105/(-28) - -2)). Suppose 29*h - 30*h + 3 = 0. Suppose -2*a**2 - k*a - 4/3 - 1/3*a**h = 0. What is a?
-4, -1
Let x be ((-125)/(-75))/(-1 + 65/60). Let p(r) be the first derivative of 80*r - x*r**2 + 7 + 5/3*r**3. Find f such that p(f) = 0.
4
Find y such that 3/2*y**4 - 6*y**3 + 33*y - 21/2*y**2 + 36 = 0.
-2, -1, 3, 4
Let -14/13 - 22/13*o**4 - 92/13*o**2 + 58/13*o + 68/13*o**3 + 2/13*o**5 = 0. Calculate o.
1, 7
Let z = -56/4059 - -186994/20295. Factor -z + 1/5*g**2 - 21/5*g.
(g - 23)*(g + 2)/5
Let v(a) be the second derivative of -1/30*a**4 + 2 + 26/15*a**3 - 5*a**2 + 3*a. Factor v(z).
-2*(z - 25)*(z - 1)/5
Let m(z) be the second derivative of -z**4/78 - 322*z**3/39 - 25921*z**2/13 - z + 241. Find o such that m(o) = 0.
-161
Let k(g) = -8*g**3 + 16*g**2 + 35*g + 23. Suppose 0 = 99*b - 89*b - 30. Let v(x) = -95*x**3 + 190*x**2 + 420*x + 275. Let m(u) = b*v(u) - 35*k(u). Factor m(h).
-5*(h - 4)*(h + 1)**2
Suppose 49 + 19 = 71*f - 74. Factor 3/2*i**f - 24 + 0*i.
3*(i - 4)*(i + 4)/2
Let g(a) = 152 + a**2 - 468 - 4*a + 149 + 137. Let y be g(-4). Suppose -2/3*c**5 - 32*c + 2/3*c**4 + 26/3*c**3 - 24 - 2/3*c**y = 0. What is c?
-2, -1, 3
Suppose -2*b + 37 - 20 = 5*z, -z + 7 = 4*b. Let m be z + (-198)/(-45) + -7. Factor m*a**2 + 0 + 2/5*a.
2*a*(a + 1)/5
Let a(u) = -2*u**3 - 106*u**2 - 387*u + 252. Let g be a(-49). Solve 19/3*p + 1 + g*p**2 + 5/3*p**3 = 0 for p.
-3, -1, -1/5
Suppose 9*n = -0*n + 18. Factor 5 - 64*i + 94*i + 15*i**n + 30*i**2.
5*(3*i + 1)**2
Suppose 1229*t - 1238*t = -351. Let j be 82/42 + ((-299)/t - -6). Solve 4/7*r**2 + 0*r - 2/7 - j*r**4 + 0*r**3 = 0 for r.
-1, 1
Let c(d) be the first derivative of -d**5/50 + 5*d**4/12 + 6*d**3/5 - 67*d**2/2 + 37. Let h(v) be the second derivative of c(v). Factor h(a).
-2*(a - 9)*(3*a + 2)/5
Let d(m) be the first derivative of -4*m**5/15 - 71*m**4/6 + 12*m**3 + 15*m**2/2 - 9. Let x(u) be the second derivative of d(u). What is a in x(a) = 0?
-18, 1/4
Suppose -1675*u = -1672*u + 12, 4*u = -5*m + 14. Let p(z) be the third derivative of 0*z - 3/4*z**3 + 1/120*z**5 + m*z**2 + 0 + 0*z**4. Factor p(v).
(v - 3)*(v + 3)/2
Suppose 7*q**2 - 84*q - 270 - 6*q**2 + 2*q**2 + q**2 - 2*q**2 = 0. What is q?
-3, 45
Let g(n) be the first derivative of -2*n**3/3 + 220*n**2 - 843. Factor g(f).
-2*f*(f - 220)
Let s(f) = -2*f**3 - 18*f**2 - 48*f - 25. Let d(o) = -o**3 - 9*o**2 - 24*o - 13. Suppose 514 - 511 = h. Let c(g) = h*s(g) - 7*d(g). Solve c(n) = 0 for n.
-4, -1
Let f(m) = -m**2 - 4*m + 25. Let h be f(-7). Let w be (-3 + 1)/((-5)/8) - 2. Let -3/5*x + 3/5*x**3 + 0 + w*x**2 - 6/5*x**h = 0. What is x?
-1, 0, 1/2, 1
Let o(s) be the third derivative of 2/3*s**3 + 0*s - 1/120*s**6 - 1/60*s**5 + s**2 - 35 + 1/6*s**4. Factor o(f).
-(f - 2)*(f + 1)*(f + 2)
Let t(i) = -i**3 + 8*i**2 - 12*i + 10. Let o be t(3). Find k, given that 33*k + 4*k**2 - 22*k - o*k + 4 = 0.
1
Let o(y) be the first derivative of y**4/16 + y**3/8 + 46*y - 2. Let f(z) be the first derivative of o(z). Factor f(a).
3*a*(a + 1)/4
Suppose -47*y - 3*s = -51*y + 6, 5*s - 4 = 2*y. Let n(i) be the second derivative of 1/4*i**y - 3/40*i**5 + 1/8*i**4 + 0 - 4*i - 3/4*i**2. Factor n(l).
-3*(l - 1)**2*(l + 1)/2
Suppose 4*i = 10*i - 216. Factor 3*p**3 - 24*p**2 + i*p**5 - 50*p**3 - 6*p**4 - 9*p**3.
2*p**2*(6*p**2 - 5*p - 6)
Let w(z) = 6*z**2 - 738*z - 28869. Let c(x) = x**2 - 148*x - 5774. Let u(y) = -11*c(y) + 2*w(y). Solve u(f) = 0 for f.
-76
Let w(x) = 36*x**3 - 32*x**2 + 40*x. Let u(j) = 4*j**3 - j. Let o(k) = -8*u(k) + w(k). Factor o(y).
4*y*(y - 6)*(y - 2)
Let o(x) be the first derivative of -x**5/30 - x**4/3 - x**3 + 31*x**2 + 63. Let y(d) be the second derivative of o(d). What is l in y(l) = 0?
-3, -1
Let d(n) be the first derivative of -1/2*n**3 - 15/4*n**2 + 31 - 6*n. Determine c so that d(c) = 0.
-4, -1
Let n(s) be the second derivative of 59*s**4/24 + 65*s**3/12 + 3*s**2/2 - 5*s + 184. Find p, given that n(p) = 0.
-1, -6/59
Let f(k) = 32*k**3 + 96*k**2 + 114*k + 46. Let j(v) = -2*v**4 + 32*v**3 + 98*v**2 + 115*v + 45. Let s(u) = -3*f(u) + 2*j(u). Factor s(h).
-4*(h + 1)*(h + 2)**2*(h + 3)
Let n(k) be the first derivative of 8 - 6*k + 0*k**2 + 3/20*k**5 - 1/2*k**3 + 0*k**4. Let q(l) be the first derivative of n(l). Factor q(o).
3*o*(o - 1)*(o + 1)
Let b(x) be the third derivative of 99*x**2 + 1/3*x**3 + 2/9*x**4 + 0*x**6 + 0 + 1/15*x**5 - 1/315*x**7 + 0*x. Factor b(v).
-2*(v - 3)*(v + 1)**3/3
Let v = 1539/2 - 769. Let t(i) be the third derivative of -v*i**4 + 0 - 20/3*i**3 + 41/15*i**5 + 22*i**2 + 0*i + 2/21*i**7 - 11/10*i**6. Factor t(q).
4*(q - 5)*(q - 1)**2*(5*q + 2)
Let -46/3*j**2 - 8/3 + 28/3*j**3 + 32/3*j - 2*j**4 = 0. Calculate j.
2/3, 1, 2
Let m(v) be the second derivative of -v**4/6 + 29*v**3/3 + 62*v**2 - 76*v - 4. Factor m(h).
-2*(h - 31)*(h + 2)
Find t, given that 2/9*t**2 + 98/3 + 104/9*t = 0.
-49, -3
Let b(k) be the first derivative of k**5/5 - k**4/3 + 43*k - 53. Let d(f) be the first derivative of b(f). Solve d(q) = 0.
0, 1
Suppose -3*n = 4*w - 20, w - 4*n + 9*n - 22 = 0. Let y(d) be the first derivative of 12/7*d**w + 3/7*d**3 + 12/7*d - 10. Suppose y(r) = 0. What is r?
-2, -2/3
Let z(v) be the second derivative of 0