he first derivative of w**5/80 - w**4/16 - w**3/24 + 3*w**2/8 - 118*w + 36. Let n(x) be the first derivative of h(x). Let n(o) = 0. What is o?
-1, 1, 3
Let b(f) = f**3 + 3*f**2 - 4*f + 3. Let d(i) = 6*i**3 + 57*i**2 - 349*i + 527. Let t(g) = -14*b(g) + 2*d(g). Factor t(k).
-2*(k - 23)*(k - 11)*(k - 2)
Let p be (-8 + -1)*(-143)/(-4290)*(-4)/9. Factor -p*t**2 - 384/5 + 32/5*t.
-2*(t - 24)**2/15
Let n(m) be the third derivative of -m**6/24 + 551*m**5/12 - 380875*m**4/24 + 378125*m**3/6 + 3*m**2 - 31. Find l such that n(l) = 0.
1, 275
Suppose -162 - 6*g**3 - 244*g + 46*g - 170*g**2 - 84*g**2 - 213*g + 77*g**2 = 0. What is g?
-27, -2, -1/2
Let z(y) be the third derivative of -y**6/300 - 11*y**5/50 - 27*y**4/10 + 3021*y**2. Factor z(v).
-2*v*(v + 6)*(v + 27)/5
Suppose 302*b + 16 = 310*b. Factor -b*s - 23093*s**3 + 5*s + 2*s**2 + 23092*s**3.
-s*(s - 3)*(s + 1)
Factor -3/2*k**2 + 3*k + 297/2.
-3*(k - 11)*(k + 9)/2
Let h = 290 + -273. Factor u**2 - 6*u + h*u - 6*u.
u*(u + 5)
Let v(m) be the second derivative of -m**4/12 - 5*m**3/3 + 4*m**2 - 4*m. Let k be v(-10). Factor 4*j**3 - 16 + k + 8.
4*j**3
Let p(a) be the first derivative of -a**3 - 51*a**2/2 + 180*a + 6808. Determine h so that p(h) = 0.
-20, 3
Let -450*v - 21*v**4 + 3/2*v**5 + 0 + 159/2*v**3 + 30*v**2 = 0. What is v?
-2, 0, 5, 6
Suppose 0 = -213*i - 125*i - 134*i + 944. Suppose 72/5*p + 6/5*p**3 + 36/5*p**i + 48/5 = 0. Calculate p.
-2
Let v(k) be the first derivative of 1/3*k**3 - 40*k**2 + 1600*k + 169. Factor v(l).
(l - 40)**2
What is d in 8/3*d**2 - 10/9*d**3 + 22/9*d - 4/3 = 0?
-1, 2/5, 3
Suppose 131/2*i**2 + 0 - 1/4*i = 0. Calculate i.
0, 1/262
Let p(c) be the second derivative of 2*c - 18/25*c**5 + 6/25*c**6 - 3/5*c**3 + 0*c**2 + 5 - 1/35*c**7 + c**4. What is l in p(l) = 0?
0, 1, 3
Let t(r) be the second derivative of -2*r**6/15 + 5*r**5 - 107*r**4/3 - 266*r**3/3 - 1253*r + 1. Factor t(y).
-4*y*(y - 19)*(y - 7)*(y + 1)
Factor -5*y + 0 + 1/6*y**2.
y*(y - 30)/6
Let b(l) be the second derivative of l**5/150 + 7*l**4/45 - 11*l**3/9 - 68*l**2/15 - 8*l + 199. Suppose b(a) = 0. What is a?
-17, -1, 4
Solve -4 + 2/9*k**4 - 14/9*k**2 - 6*k + 2/3*k**3 = 0 for k.
-3, -2, -1, 3
Let u(c) = 2*c - 20. Let j(l) = -2*l**3 - 18*l**2 + 13. Let i be j(-9). Let v be u(i). Determine k, given that -16*k - 32/3 - 2/3*k**3 - v*k**2 = 0.
-4, -1
Let v be (12 + 4)*((-5)/(-20))/((-16)/3072*-16). Let q be (-12)/(-5) - (2 - 0). Let -58*f**3 - v*f**4 - q - 72/5*f**5 - 6*f - 30*f**2 = 0. What is f?
-1, -1/6
Suppose -17/9*h**4 + 20 - 163/9*h**2 + 95/9*h**3 + 1/9*h**5 - 32/3*h = 0. Calculate h.
-1, 1, 5, 6
Let j(r) be the first derivative of r**4/102 + 4*r**3/51 + 4*r**2/17 - 29*r + 83. Let h(k) be the first derivative of j(k). Suppose h(g) = 0. What is g?
-2
Factor -622*a - 3*a**2 - 452*a + 30*a**2 - 240.
3*(a - 40)*(9*a + 2)
Let w(n) = 10*n**3 - 395*n**2 + 70. Let v(a) = a**3 - 44*a**2 + 8. Suppose -8*h + 364 = 84. Let y(b) = h*v(b) - 4*w(b). Factor y(q).
-5*q**2*(q - 8)
Let m be ((-12)/36)/((-4)/6)*(0 + 0). Let j(r) be the second derivative of 1/28*r**4 + m*r**3 - 1/140*r**5 + 22*r + 0 - 2/7*r**2. Factor j(w).
-(w - 2)**2*(w + 1)/7
Suppose -5 = -6*f + 3*f - 4*i, -3*i = 3. Find o such that 1670 - 1670 + 3*o**f + 3*o**2 - 3*o**4 - 3*o**5 = 0.
-1, 0, 1
Let d be (-35)/(-20) + 3/(-4) - -15. Find j such that 2*j**3 - 19*j**2 - 14*j**2 + 59*j**2 - d*j**2 = 0.
-5, 0
Let n(i) be the third derivative of i**8/20160 + i**7/7560 - i**6/216 + i**5/45 - 103*i**4/24 - 56*i**2. Let k(y) be the second derivative of n(y). Factor k(s).
(s - 2)*(s - 1)*(s + 4)/3
Let k(m) be the first derivative of m**6/6 + 6*m**5/5 + 3*m**4/4 - 10*m**3/3 + 883. Factor k(r).
r**2*(r - 1)*(r + 2)*(r + 5)
Let r = -25 - -27. Factor 128*s - 7*s**2 - 3*s**2 + 0*s**r + 6*s**2.
-4*s*(s - 32)
Factor 36*v**3 + 0*v**2 + 122/7*v**4 - 2/7*v**5 + 0*v + 0.
-2*v**3*(v - 63)*(v + 2)/7
Suppose 3*t**2 + 234 + 2*t**2 + 416 + 319*t - 389*t - 585*t = 0. Calculate t.
1, 130
Let o(v) = v**2 - 28. Let t(q) = q**2 - 19. Suppose -5*j = -3*n - n - 35, -11 = n + j. Let g be 6*1 + n/10. Let x(m) = g*o(m) - 8*t(m). What is r in x(r) = 0?
-2, 2
Let o(b) be the third derivative of -b**5/90 + 7*b**4/18 - 13*b**3/9 - 533*b**2. Determine j so that o(j) = 0.
1, 13
Let y(k) = -23*k - 61. Let f be y(-3). Let v be 14/f - (-8 + -2 - -11). Factor -3/4 + 3/4*l**3 - v*l + 3/4*l**2.
3*(l - 1)*(l + 1)**2/4
Factor 674617 + 558*c - 674617 - c**2 - 2*c**2.
-3*c*(c - 186)
Let i(q) be the second derivative of q**4/54 - 2*q**3/27 + q**2/9 - 853*q. Factor i(v).
2*(v - 1)**2/9
Let y(b) = b**3 + 29*b**2 + 37*b - 28. Let l be y(-27). Let i = 434 - l. Factor 3 + 3/2*g - i*g**2 - 3/2*g**3.
-3*(g - 1)*(g + 1)*(g + 2)/2
Let c(o) = o**2 + 10*o - 138. Let v be c(-18). Let l be 20/(-40)*v - (-6)/2. Factor -1/5*p**3 + 4/5*p**2 + l - 3/5*p.
-p*(p - 3)*(p - 1)/5
Find p, given that 693/2*p - 3/2*p**3 + 171*p**2 + 174 = 0.
-1, 116
Let p be -3*(-63)/(-135) - 93/(-60). Let l(n) be the second derivative of -p*n**3 + 0 + 2/5*n**2 - 18*n + 1/120*n**4. Find u such that l(u) = 0.
1, 8
Let z = -1591459/130 + 12242. Let f(j) be the second derivative of 0 + 2/39*j**4 - z*j**5 + 0*j**2 - 4/39*j**3 + 11*j. Factor f(k).
-2*k*(k - 2)**2/13
Let q be (-9)/(18/(-2)) - 350/4. Let o = 87 + q. Determine m, given that 0*m + o*m**4 + 0*m**3 - 1/2*m**2 + 0 = 0.
-1, 0, 1
Let p(a) be the second derivative of a**5/50 - 7*a**4/10 + 56*a**3/15 - 36*a**2/5 - 7*a - 36. Find n, given that p(n) = 0.
1, 2, 18
Let m = 39873/2770 + 3/554. Let y = -66/5 + m. Solve -y*i**4 + 2*i**3 + 0 - 2/5*i - 2/5*i**2 = 0.
-1/3, 0, 1
Let h(k) be the second derivative of -5/2*k**2 - 1/24*k**4 + 9*k + 0 + 7/12*k**3. Suppose h(j) = 0. What is j?
2, 5
Let v be (15/18)/(152/24 + (532/21)/(-19)). Find d such that 2/3*d**2 - 2/3 - 1/6*d**3 + v*d = 0.
-1, 1, 4
Let k(v) = 42*v + 254. Let d = 1201 - 1207. Let x be k(d). Solve -4/7*i**3 + 4/7*i + 2/7*i**4 - 2/7*i**x + 0 = 0.
-1, 0, 1, 2
Let -378006 - 502*r - 1/6*r**2 = 0. Calculate r.
-1506
Suppose -11599*l**2 - 125804 - 20469*l + 125469*l + 345*l**4 - 6461 + 9765 - 5*l**5 - 5695*l**3 - 226*l**2 = 0. What is l?
-5, 2, 35
What is p in p**2 + 91247*p - 92707*p - 3*p**2 = 0?
-730, 0
Let p(r) be the first derivative of 3*r**4/4 - 568*r**3/3 + 13630*r**2 - 35344*r + 9842. Suppose p(x) = 0. Calculate x.
4/3, 94
Let f be (-92815)/228 + (-2)/8. Let n = 408 + f. Determine s so that 0 + 0*s**2 - n*s + 2/3*s**3 = 0.
-1, 0, 1
Let c(b) = -10*b**3 + 99*b**2 - 467*b - 3. Let u(k) = 18*k**3 - 197*k**2 + 937*k + 5. Let v(x) = -5*c(x) - 3*u(x). Let v(z) = 0. What is z?
0, 7, 17
Let p(b) = 969*b + 5133. Let d be p(-5). Let c(u) be the first derivative of -984*u**2 + 480*u**5 - 10 - 250/3*u**6 - 3992/3*u**3 - 285*u**4 - d*u. Factor c(n).
-4*(n - 3)**2*(5*n + 2)**3
Solve 0 + 2/15*p**4 + 208/15*p - 8/15*p**2 - 52/15*p**3 = 0.
-2, 0, 2, 26
Let k(b) = -952*b**3 + 1457*b**2 - 578*b + 55. Let n(y) = -1190*y**3 + 1821*y**2 - 722*y + 69. Let m(c) = -11*k(c) + 9*n(c). Find j such that m(j) = 0.
4/17, 2/7, 1
Let x(h) = 6*h**4 + 90*h**3 + 57*h**2 - 168*h. Let v(f) = -19*f**2 + 14*f**4 + 24*f + 11*f**2 - 15*f**4 - 13*f**3. Let q(m) = -15*v(m) - 2*x(m). Factor q(k).
3*k*(k - 1)*(k + 2)*(k + 4)
Factor -23*p + p**4 + 58*p**2 + 19*p**3 + 5*p**4 + 8 + 24*p + 13*p**3 + 39*p.
2*(p + 1)*(p + 2)**2*(3*p + 1)
Let q(y) be the third derivative of -y**6/900 - y**5/90 + y**4/15 + 4*y**3/5 + 1293*y**2. Determine g, given that q(g) = 0.
-6, -2, 3
Suppose -z + 8*z - 21 = 0. Let 0*l**4 + 16 + 24*l - 2*l**4 + 4*l**2 - 27*l**z + 21*l**3 = 0. Calculate l.
-2, -1, 2
Let v(t) be the second derivative of -t**8/1344 + 17*t**7/504 - 7*t**6/16 - 27*t**5/8 - 45*t**4/4 - 17*t. Let h(c) be the third derivative of v(c). Factor h(k).
-5*(k - 9)**2*(k + 1)
Let p = 1/17411 + 957599/104466. Let -1/6*j**3 + 14/3 + 13/3*j**2 + p*j = 0. Calculate j.
-1, 28
Let h(b) be the third derivative of -b**8/4 + 68*b**7/105 + 38*b**6/15 - 136*b**5/15 + 16*b**4/3 + 3098*b**2. Determine x so that h(x) = 0.
-2, 0, 2/7, 4/3, 2
Suppose -2*k - 4 = 0, 330 = -5*a - 5*k - 880. Let t be (12*(-5)/(-225))/((-3)/a). Determine v, given that -1/3*v**3 - 16*v + 4*v**2 + t = 0.
4
Let o(p) be the first derivative of p**6/18 - 4*p**5/3 + 67*p**4/6 - 316*p**3/9 + 11*p**2/2 + 168*p - 6258. Let o(r) = 0. What is r?
-1, 3, 7, 8
Let