5/10 + 11*g**4/8 + 3*g**3 - 191*g**2 + 15*g. Determine d, given that y(d) = 0.
-1, 1, 6
Factor -460/9*f**2 + 916/3 + 446/9*f + 2/9*f**3.
2*(f - 229)*(f - 3)*(f + 2)/9
Let g(k) be the first derivative of -k**3/12 - 15*k**2/8 - 9*k + 361. Solve g(v) = 0 for v.
-12, -3
Let a(k) = -k**3 + 5*k**2 + 2*k + 1. Let j(v) = -16*v**3 + 72*v**2 + 104*v - 28. Let c(t) = 20*a(t) - j(t). Suppose c(w) = 0. What is w?
2, 3
Let l(y) be the first derivative of y**3 + 4563*y**2/2 + 9114*y + 3661. Factor l(p).
3*(p + 2)*(p + 1519)
Factor 363*l**2 + 5*l**3 + 55 - 5 + 85*l - 323*l**2.
5*(l + 1)*(l + 2)*(l + 5)
Factor 382/9*c**2 + 0 - 2/3*c**3 + 128/9*c.
-2*c*(c - 64)*(3*c + 1)/9
Let l(g) = -1447*g - 8678. Let z be l(-6). Let t(u) be the second derivative of -1/70*u**5 + 9/7*u**2 + 1/21*u**3 - 3/14*u**z - 2 - 10*u. Solve t(a) = 0 for a.
-9, -1, 1
Let g(q) = -2*q - 61. Let p(b) = 12*b + 305. Let h(o) = -11*g(o) - 2*p(o). Let y be h(22). Let -2*r + y*r + r**3 + 4*r**2 - 11*r = 0. What is r?
-2, 0
Let o(t) = -t**3 + 3*t**2 - 23*t. Let l(j) = 10*j**3 - 7*j**3 + 27*j**2 + 47*j - 57*j**2 + 25*j**2. Let u(d) = -6*l(d) - 14*o(d). Factor u(c).
-4*c*(c - 2)*(c + 5)
Let h(f) = 3*f**2 - 12*f + 23. Let p = -28 - -31. Let n(x) = -4*x - 13*x**2 + p*x - 5*x**2 + 19*x**2 - 1. Let k(m) = -h(m) + 2*n(m). Factor k(a).
-(a - 5)**2
Factor 12/7*s**2 - 1/7*s**3 - 1/7*s**4 + 4*s + 16/7.
-(s - 4)*(s + 1)*(s + 2)**2/7
Let q(f) be the third derivative of f**7/420 - f**6/45 + f**5/20 - 22*f**3 - 3*f**2 + 2. Let t(r) be the first derivative of q(r). Factor t(j).
2*j*(j - 3)*(j - 1)
Solve 11/5*r**4 - 47/5*r**2 + 36/5 - 24/5*r + 1/5*r**5 + 23/5*r**3 = 0.
-6, -1, 1
Let 66/5*g**2 - 9/5*g**3 - 1/5*g**4 + 0 - 56/5*g = 0. Calculate g.
-14, 0, 1, 4
Let z(y) be the second derivative of 16/13*y**3 - 40/39*y**4 - 4/65*y**6 + 1/273*y**7 + 24/65*y**5 + 0*y**2 + 2*y + 52. Suppose z(v) = 0. Calculate v.
0, 2, 6
Let i(k) be the second derivative of -k**5/4 - 155*k**4/4 - 680*k**3/3 - 450*k**2 + 2291*k. Factor i(g).
-5*(g + 1)*(g + 2)*(g + 90)
Suppose -5*x + 1212 = 2*m, 0 = 2*m - 15*x + 13*x - 1128. Determine l so that -1/3*l**3 + 24*l**2 - m*l + 4608 = 0.
24
Let q(i) be the second derivative of 2*i**6/15 + 37*i**5/5 - 133*i**4 + 1366*i**3/3 - 644*i**2 - 6*i + 840. Factor q(t).
4*(t - 7)*(t - 1)**2*(t + 46)
Let t(r) = r + 43. Let x be t(-38). Suppose 0 = x*j - 15, -j - 12 = 2*p - 19. Factor -7/3*i - 1/3 - p*i**2.
-(i + 1)*(6*i + 1)/3
Let k(r) be the first derivative of 4*r**3/3 + 82*r**2 + 160*r - 1627. Factor k(p).
4*(p + 1)*(p + 40)
Suppose -2740 = -99*w - 2542. Determine i so that 0*i + 3/2*i**4 + 0 + 6*i**3 + 0*i**w = 0.
-4, 0
Factor -273/8*s**2 + 3/8*s**4 + 21/2*s**3 + 93/4*s + 0.
3*s*(s - 2)*(s - 1)*(s + 31)/8
Let o(h) be the first derivative of -2*h**6/3 - 4*h**5 + 8*h**4 + 176*h**3/3 - 64*h**2 - 256*h + 797. Solve o(p) = 0 for p.
-4, -1, 2
Let j = 165747/5 + -33145. Factor -12/5 + j*b - 8/5*b**2 - 2/5*b**3.
-2*(b - 1)**2*(b + 6)/5
Let v(g) = 16*g - 50. Let b(z) = -270*z + 850. Let y(l) = 3*b(l) + 50*v(l). Let w be y(5). Factor -5/3*h**3 - 5*h**2 + 0 + w*h.
-5*h**2*(h + 3)/3
Let n(a) be the second derivative of 1/135*a**6 - 4 - 1/27*a**3 + 2/9*a**2 - 1/18*a**4 + 4*a + 1/90*a**5. Solve n(y) = 0.
-2, -1, 1
Let q = -2 + 9. Let x(s) = -s**3 - 6*s**2 - 10*s - 8. Let c be x(-5). Solve q*z**2 + 15*z - c*z**2 + 5*z**2 = 0 for z.
0, 3
Solve -182*r - 2216/3 + 2/3*r**2 = 0 for r.
-4, 277
Suppose -3*a + 9 = 3. Suppose -4 = -b - a. Find f, given that -2*f**2 + 32 - 6*f**4 + b*f**5 + 6*f**3 - 32 = 0.
0, 1
Let c(j) be the second derivative of -16*j**7/105 + 32*j**6/75 + 99*j**5/50 + 61*j**4/60 - 28*j**3/15 - 3*j**2/2 - 1707*j. Find f such that c(f) = 0.
-1, -1/4, 1/2, 15/4
Let i(k) be the second derivative of -1/12*k**4 + 3*k**2 - 245*k + 1/6*k**3 + 0. Solve i(x) = 0 for x.
-2, 3
Let b = 1477/86160 + -5/1077. Let p(l) be the second derivative of -5/6*l**3 - 2*l**2 - 1/6*l**4 + 44*l - b*l**5 + 0. Factor p(w).
-(w + 2)**2*(w + 4)/4
Let u = -4872 + 4875. Let q(r) be the first derivative of -1/9*r**4 - 4/27*r**u + 2/9*r + 1/27*r**6 + 10 + 1/9*r**2 + 2/45*r**5. Factor q(c).
2*(c - 1)**2*(c + 1)**3/9
Suppose 0*v - 5*c = -2*v + 43, 6 = -v - 3*c. Suppose 0 = 47*o - 44*o - v. Solve 14 - 24 + 9*s**3 + 15*s - 14*s**o = 0.
-2, 1
Let a(i) be the first derivative of -2*i**6/15 + 8*i**5/25 + 8*i**4/5 + 8*i**3/15 - 14*i**2/5 - 16*i/5 + 498. Suppose a(v) = 0. What is v?
-1, 1, 4
Let j(h) = -55*h**5 - 335*h**4 - 1835*h**3 - 235*h**2 + 7340*h - 4880. Let s(v) = v**5 + v**2 - 2*v. Let d(w) = j(w) + 50*s(w). Determine r so that d(r) = 0.
-61, -4, 1
Let d be 12*1/252*7. Let c(t) be the first derivative of -8/15*t**5 - 16 + 2/3*t - 11/6*t**4 - 2*t**3 - d*t**2. Determine a, given that c(a) = 0.
-1, 1/4
Factor -26/11 - 50/11*z - 2*z**2 + 2/11*z**3.
2*(z - 13)*(z + 1)**2/11
Let a(v) be the first derivative of -72*v**5/25 + 402*v**4 - 223106*v**3/15 - 7504*v**2 - 6272*v/5 - 548. Factor a(y).
-2*(y - 56)**2*(6*y + 1)**2/5
Suppose -36/5*m**3 + 0 + 16*m - 48/5*m**2 + 4/5*m**4 = 0. Calculate m.
-2, 0, 1, 10
Let s = 151519 + -151513. Factor -3*g**4 - g**2 + 4 + s*g - 11/2*g**3 - 1/2*g**5.
-(g - 1)*(g + 1)*(g + 2)**3/2
Let u(t) be the first derivative of 17*t**3/3 + 81*t**2/2 - 20*t + 3804. Factor u(z).
(z + 5)*(17*z - 4)
Let g = 489603 - 4406282/9. Suppose 0 + 5/9*p**5 + 0*p - 52/9*p**4 + g*p**3 - 50/9*p**2 = 0. What is p?
0, 2/5, 5
Let v(i) be the third derivative of -i**5/100 - 287*i**4/24 + 479*i**3/15 + 516*i**2. Factor v(k).
-(k + 479)*(3*k - 2)/5
Let o(m) be the second derivative of -m**5/20 - 13*m**4/6 - 15*m**3/2 + 36*m**2 + 1024*m. Factor o(f).
-(f - 1)*(f + 3)*(f + 24)
Let r(h) be the third derivative of 0 + 0*h + 25/2*h**3 + 18*h**2 - 1/40*h**5 + 23/16*h**4. Factor r(v).
-3*(v - 25)*(v + 2)/2
Solve -1/5*p**2 + 428 - 2139/5*p = 0 for p.
-2140, 1
Let p(x) be the first derivative of -2*x**5/5 + 33*x**4/2 + 140*x**3/3 + 12017. Factor p(q).
-2*q**2*(q - 35)*(q + 2)
Let s(b) be the second derivative of b**8/5040 - 19*b**7/11340 + b**6/810 + b**5/27 - 11*b**4/12 - 15*b. Let i(d) be the third derivative of s(d). Factor i(l).
2*(l - 2)**2*(6*l + 5)/9
What is l in 6/7*l**2 - 156 + 1634/7*l = 0?
-273, 2/3
Let x(s) be the first derivative of 4/23*s + 2/69*s**3 - 28 + 3/23*s**2. Solve x(j) = 0.
-2, -1
Let r(c) be the second derivative of -119*c**4/4 + 178*c**3 + 9*c**2/2 - 1440*c. Factor r(w).
-3*(w - 3)*(119*w + 1)
Let z be (45/(-10)*((-140)/(-30))/14)/(10/(-5)). Suppose 0 - 9/8*s**3 + 0*s - 3/8*s**4 - z*s**2 = 0. What is s?
-2, -1, 0
Let d(l) be the first derivative of -23*l**5/50 + 3*l**4/2 - 7*l**3/5 - l**2/5 + 27*l - 81. Let o(x) be the first derivative of d(x). Factor o(w).
-2*(w - 1)**2*(23*w + 1)/5
Let z(m) be the first derivative of -1/7*m**3 + 23/7*m**2 - 137 + 32/7*m. Factor z(s).
-(s - 16)*(3*s + 2)/7
Let c(s) be the first derivative of -s**6/12 - 6*s**5 - 575*s**4/4 - 1250*s**3 - 15625*s**2/4 - 5924. Factor c(i).
-i*(i + 5)**2*(i + 25)**2/2
Let g(w) be the third derivative of -142*w**2 + 0*w**3 - 1/50*w**4 + 0 + 2/875*w**7 - 1/300*w**6 + 0*w - 37/750*w**5. Suppose g(q) = 0. Calculate q.
-2, -1/6, 0, 3
Let c be (-6 - -5)*(4 - -1)/1. Let h be (-4)/c*(-180)/(-96). Suppose 0*u + 3/2 - h*u**2 = 0. What is u?
-1, 1
Factor -1/2*y**2 - 62 + 35/2*y.
-(y - 31)*(y - 4)/2
Let j be ((-1)/18)/(-10 - (-3960)/405). Factor -12*v**2 - 8 - j*v**4 + 13/4*v**3 + 17*v.
-(v - 8)*(v - 2)**2*(v - 1)/4
Let r(i) be the first derivative of -i**6/21 - 74*i**5/35 - 33*i**4/14 + 226*i**3/21 + 26*i**2 + 144*i/7 + 1614. Suppose r(y) = 0. Calculate y.
-36, -1, 2
Let a(v) be the second derivative of v**4/4 + 9*v**3/2 - 33*v**2 - 518*v. Determine f, given that a(f) = 0.
-11, 2
Let j(d) be the third derivative of d**6/24 + 199*d**5/12 + 4130*d**2. Factor j(v).
5*v**2*(v + 199)
Let r(c) = -6909*c + 207274. Let t be r(30). What is l in 0 - 9/2*l - t*l**3 - 27/2*l**2 = 0?
-3, -3/8, 0
Let z(t) be the third derivative of -11/3*t**4 + 0 + 13/30*t**6 + 0*t - 1/15*t**7 + 1/30*t**5 - 4*t**3 - 52*t**2. What is j in z(j) = 0?
-1, -2/7, 2, 3
Let v be (2*-1)/((-3)/(-8))*-3. Suppose 2*c = h + 3*c - 4, 5*h + c = v. Factor 2*l**2 + 0*l - h - 10*l + 15.
2*(l - 3)*(l - 2)
Let g(q) = -5*q + 1. Let w(l) = 3*l. Let v(k) = 3*g(k) + 3*w(k). Let h be v(0). Suppose 4*t**2 + 13*t**h - 12*t**3 - 5*t*