a) - 3*q(a). Factor o(m).
(m - 5)*(m - 3)*(m - 1)
Let p(h) be the second derivative of h**7/33 - 131*h**6/165 + 81*h**5/110 + 167*h**4/66 - 8*h**3/3 - 36*h**2/11 + 1904*h. What is u in p(u) = 0?
-1, -2/7, 1, 18
Let l(j) be the second derivative of j**5/26 - 43*j**4/78 - 66*j**3/13 - 72*j**2/13 - 2500*j. Find u, given that l(u) = 0.
-3, -2/5, 12
Let y = -456 + 458. Let u be 3080/(-21)*(-24)/10. Factor 174*c**y + 4*c + 176*c**2 - u*c**2 - 4 + 20.
-2*(c - 4)*(c + 2)
Factor 2/9*u**2 + 34/3 - 40/9*u.
2*(u - 17)*(u - 3)/9
Let u(g) be the third derivative of -g**8/840 - 8*g**7/525 + 19*g**6/300 - g**5/15 - 88*g**2 + 3*g - 2. Factor u(a).
-2*a**2*(a - 1)**2*(a + 10)/5
Let n(v) be the first derivative of 0*v**2 + 0*v - 15/2*v**4 + 57 - v**5 - 25/3*v**3. Let n(y) = 0. What is y?
-5, -1, 0
Suppose -879 = 17*s - 284. Let t(a) = 57*a**2 + 67*a + 12. Let u(g) = -970*g**2 - 1140*g - 205. Let d(c) = s*t(c) - 2*u(c). Factor d(l).
-5*(l + 1)*(11*l + 2)
Let r(y) be the first derivative of 48*y - 4/3*y**3 + 22*y**2 - 51. Determine p so that r(p) = 0.
-1, 12
Let l(r) be the third derivative of -r**6/40 + 19*r**5/10 - 107*r**4/8 + 35*r**3 + r**2 - 7*r. Determine f so that l(f) = 0.
1, 2, 35
Let h be (350/200)/7 - 2/6 - (-100)/48. Suppose -2*v**4 + 0 + 0*v + 1/3*v**5 - 40/3*v**h - 12*v**3 = 0. Calculate v.
-2, 0, 10
Factor 0*y**2 + 0*y + 0 + 0*y**3 - 1/3*y**4.
-y**4/3
Let g(t) be the second derivative of 3*t**5/80 + t**4 + 45*t**3/8 - 243*t**2/4 - 1166*t. Solve g(j) = 0.
-9, 2
Suppose x = -4*l - 3, 4*x = 4*l + 30 - 2. Suppose 1580 = 5*j - x*s, -564 + 233 = -j - 4*s. What is z in -3*z**2 + 6*z - 319 - 3*z**3 + j = 0?
-2, 0, 1
Suppose 10*x + 190 = 350. Let r(s) be the first derivative of s**4 - x + 16*s - 14*s**2 + 8/3*s**3. Solve r(k) = 0 for k.
-4, 1
Let x(d) = d. Let m(j) = j + 3. Let q be m(-1). Let c be x(q). Factor -6*i + i**c - 6 + 3*i + 4*i.
(i - 2)*(i + 3)
Let 0*f + 11/2*f**4 + 0 - 34*f**3 + 6*f**2 = 0. What is f?
0, 2/11, 6
Factor 1014 + 754/5*u + 2/15*u**3 - 146/15*u**2.
2*(u - 39)**2*(u + 5)/15
Suppose -11036*d - 10*d**4 + 92*d**4 + 1488 - 3360*d**3 - 11*d**4 + 20136*d**2 + 348*d - 22*d**4 = 0. Calculate d.
2/7, 6, 62
Let r(s) = 3*s**2 - 11*s + 13. Let g be r(1). Suppose 2*k - 15 = -g*i, -11*i + 8*i = 3*k - 9. Find f, given that -3/8*f**2 + 3/8 - 1/8*f**i + 1/8*f = 0.
-3, -1, 1
Let o(d) be the third derivative of -2/105*d**7 + 108*d**2 + 0*d**4 + 0*d**3 + 0*d + 1/336*d**8 + 1/10*d**5 + 1/120*d**6 + 0. Solve o(n) = 0 for n.
-1, 0, 2, 3
Factor -16/9*x**3 - 2/9*x**4 + 32/3*x - 8/9*x**2 + 0.
-2*x*(x - 2)*(x + 4)*(x + 6)/9
Determine m so that -18*m + 1/2*m**5 - 10*m**4 + 35/2*m**3 + 10*m**2 + 0 = 0.
-1, 0, 1, 2, 18
Suppose i = 3*v + 2*i - 5, -5*i = -25. Suppose -3*n - 41 = -4*d - v*n, -d + 3*n = -8. Factor 19*z + z**2 - 4*z - d*z - 7*z.
z*(z - 3)
Let a be 1115/2007 + 2/126. Let w(o) be the second derivative of -2/7*o**3 + 0*o**2 - 9*o + 33/140*o**5 - 9/70*o**6 + a*o**4 + 0. Let w(y) = 0. What is y?
-1, 0, 2/9, 2
Let z be ((-10)/(-6 + 146))/(3/(-84)). Find a, given that 8*a**z + 0 - 2*a**4 - 36/7*a**3 + 10/7*a**5 - 16/7*a = 0.
-2, 0, 2/5, 1, 2
Let q(v) = 12*v**4 + 168*v**3 + 528*v**2 - 8*v. Let m(t) = 8*t**4 + 167*t**3 + 528*t**2 - 6*t. Let c(u) = -4*m(u) + 3*q(u). Suppose c(d) = 0. What is d?
-3, 0, 44
Factor 8*r**2 - 12/5 - 6/5*r**3 - 22/5*r.
-2*(r - 6)*(r - 1)*(3*r + 1)/5
Let t(v) be the first derivative of v**4/12 + 41*v**3/9 - 22*v**2 - 2202. Factor t(r).
r*(r - 3)*(r + 44)/3
Let x(p) be the first derivative of -p**6/20 - 2*p**5/15 + p**4/3 - 2*p**2 + 4*p + 52. Let w(y) be the second derivative of x(y). Find u such that w(u) = 0.
-2, 0, 2/3
Let j(w) be the first derivative of 15/8*w**2 + 58 + 3*w + 1/4*w**3. Factor j(v).
3*(v + 1)*(v + 4)/4
Let r(o) be the second derivative of 0*o**2 + 1/105*o**6 - 1/70*o**5 - 5/42*o**4 + 38 - 1/7*o**3 + 2*o. Suppose r(h) = 0. Calculate h.
-1, 0, 3
What is x in -3/4*x**2 - 21/2 + 171/8*x = 0?
1/2, 28
Find p, given that 18*p**3 - 222*p**2 - 66*p**3 + 29*p**3 + 17*p**3 = 0.
-111, 0
Let j(x) = -43 - 47*x + x**2 + 43*x + 0*x**2. Let p be j(9). Factor -8/7*b - 32/7*b**p - 30/7*b**3 + 0.
-2*b*(3*b + 2)*(5*b + 2)/7
Let j(b) be the second derivative of -b**7/14 + 16*b**6/5 - 9*b**5 + 11*b - 24. Factor j(m).
-3*m**3*(m - 30)*(m - 2)
Solve -19*k**3 + 14*k**3 + 63952 + 6*k**3 + 9135*k + 35273 + 88*k**2 - 289*k**2 = 0.
-9, 105
Let n(z) be the second derivative of -z**5/15 + 5*z**4/3 - 16*z**3 + 125*z**2/2 - z + 62. Let s(k) be the first derivative of n(k). Suppose s(h) = 0. What is h?
4, 6
Let t be 58 + 1 + 4/(-5 - -9). Let l be 7 + 2 + 1*-3. Factor t*h + 2 + 26*h + 450*h**2 + l + 34*h.
2*(15*h + 2)**2
Let v be (-1 - -5) + ((-801)/(-9) - -5). Let w be v/140*(-30)/(-28). Find x, given that 0 + w*x**3 + 0*x + 1/4*x**2 - x**4 = 0.
-1/4, 0, 1
Let a(w) be the first derivative of -2*w**5/5 - 16*w**4 - 512*w**3/3 - 2170. Find f, given that a(f) = 0.
-16, 0
Let x(n) be the first derivative of n**3/3 + 5*n**2/2 - 1193. Factor x(v).
v*(v + 5)
Let v(p) be the third derivative of p**6/280 + p**5/35 + 5*p**4/56 + p**3/7 + p**2 + 649*p - 4. Factor v(w).
3*(w + 1)**2*(w + 2)/7
Let b(j) be the third derivative of -j**6/24 - 709*j**5/4 - 2513405*j**4/8 - 1782004145*j**3/6 - 1063*j**2. What is i in b(i) = 0?
-709
Let 842*x**2 - 846*x**2 - 1036 - 352*x + 336 - 352*x = 0. Calculate x.
-175, -1
Let d(h) be the first derivative of -h**5/140 - h**4/21 - h**3/42 + 3*h**2/7 - 4*h + 11. Let t(v) be the first derivative of d(v). Factor t(l).
-(l - 1)*(l + 2)*(l + 3)/7
Suppose -3*k = -12 - 0. Factor -69*s**4 + 34*s**k - 36*s**3 + 37*s**4.
2*s**3*(s - 18)
Let z(s) = 15*s**2 + 12*s + 9. Let i(p) = p. Let c(y) = y**2 - y + 2. Let d(g) = -c(g) - 2*i(g). Let v(u) = 6*d(u) + z(u). Factor v(r).
3*(r + 1)*(3*r - 1)
Let o(g) be the first derivative of g**3/12 + g**2 - 33*g/4 + 120. Factor o(z).
(z - 3)*(z + 11)/4
Let v(j) be the third derivative of -1/3*j**3 - 1/160*j**6 + 1/8*j**4 + 1/840*j**7 + 36*j**2 + 0*j - 1/120*j**5 + 0. Factor v(d).
(d - 2)**2*(d - 1)*(d + 2)/4
Let j(a) be the first derivative of -a**4/36 + a**3 - 73*a**2/9 + 40*a/3 + 3277. Factor j(n).
-(n - 20)*(n - 6)*(n - 1)/9
Solve -177*c**3 - 44*c + 1604*c**4 + 292*c**2 + c**5 - 104*c - 798*c**4 - 774*c**4 = 0 for c.
-37, 0, 1, 2
Let g(k) = k**3 + 29*k**2 - 23*k - 76. Let h be g(-29). Factor -27*c - 9*c - 16 - h*c**2 + 567*c**2 - 4*c**3.
-4*(c + 1)**2*(c + 4)
Let n(z) be the third derivative of -z**5/150 - 673*z**4/60 - 5686*z**2. Factor n(t).
-2*t*(t + 673)/5
Let w(z) be the first derivative of 2*z**3/9 + 136*z**2/3 + 536*z/3 + 1805. What is o in w(o) = 0?
-134, -2
Find a, given that 0 + 2/17*a**3 - 4/17*a - 6/17*a**2 + 2/17*a**5 + 6/17*a**4 = 0.
-2, -1, 0, 1
Let c(n) = -2*n + 83. Let k be c(46). Let o be (26/(-9))/(k*(-4)/(-108)). What is u in -2/3*u**3 - 10/3*u**2 + o*u - 14/3 = 0?
-7, 1
Suppose -2*h - 2*x - 14 = 0, 8*x - 35 = 3*h + 13*x. Let s(t) be the second derivative of 1/4*t**5 - 10/3*t**4 + 40/3*t**3 + h*t**2 - 30*t + 0. Factor s(m).
5*m*(m - 4)**2
What is h in 40/21*h - 2/21*h**2 - 50/7 = 0?
5, 15
Suppose 58*i = -4*i. Let o(c) be the second derivative of i*c**3 - 2/5*c**5 + 2/15*c**6 + 19*c + 0*c**2 - 4/3*c**4 + 1/21*c**7 + 0. Factor o(f).
2*f**2*(f - 2)*(f + 2)**2
Let n(m) be the first derivative of m**5/25 - 3*m**4/20 - 9*m**3/5 + 27*m**2/10 + 162*m/5 + 126. Determine p, given that n(p) = 0.
-3, 3, 6
Let i(l) = 40*l**3 + 160*l**2 - 1105*l. Let x(q) = -5*q**3 - 20*q**2 + 139*q. Let o(u) = -3*i(u) - 25*x(u). Factor o(s).
5*s*(s - 4)*(s + 8)
Let n = -626836 - -626840. What is j in 14/5*j**3 - 14/5*j - 32/5*j**2 + 12/5*j**n + 4 = 0?
-2, -1, 5/6, 1
Let j be 1 + -9*1363/(-261). Solve -j + 8223*i**3 - 4362*i**2 - 6489/2*i**4 - 2793/2*i**5 + 828*i = 0.
-4, 2/19, 2/7, 1
Let m be (17/((-306)/96))/(-12)*(2 - -1). Let m*h**3 + 32*h + 12*h**2 + 80/3 = 0. What is h?
-5, -2
Let a(i) be the first derivative of 5*i**4/12 + 5*i**3/6 - 15*i**2 - 36*i - 37. Let t(w) be the first derivative of a(w). Factor t(s).
5*(s - 2)*(s + 3)
Let h(k) be the third derivative of -38*k - 2*k**2 - 2/3*k**3 - 1/210*k**7 + 0 + 1/40*k**6 - 1/8*k**4 + 1/12*k**5. Suppose h(x) = 0. Calculate x.
-1, 1, 4
Find c such that -2/11*c**3 + 32/11*c**2 + 180/11 - 138/11*c = 0.
3, 10
Let m = 3/11293 + 45151/79051. Factor m*w**2 - 8/7*w - 32/7