irst derivative of -b**6/54 - 28*b**5/45 - 11*b**4/4 - 8*b**3/3 - 156. Suppose u(r) = 0. What is r?
-24, -3, -1, 0
Let u(k) = 6*k**3 - 207*k**2 - 249*k + 396. Let q(f) = -f**3 + 8*f**2 - 1. Let h(c) = 9*q(c) + u(c). Suppose h(l) = 0. Calculate l.
-43, -3, 1
Factor 1/4*v**2 + 389376 + 624*v.
(v + 1248)**2/4
Let q(y) be the second derivative of y**4/6 - 160*y**3 + 57600*y**2 - 1153*y + 2. Determine x so that q(x) = 0.
240
Let d(k) be the third derivative of -k**5/20 - 449*k**4/24 + 25*k**3 - 1526*k**2. Factor d(n).
-(n + 150)*(3*n - 1)
Let l(r) = 2*r + 142. Let p be l(-26). Factor -99*c + 16*c**3 + 28 - 50 - 169*c + p + 256*c**2.
4*(c + 17)*(2*c - 1)**2
Let r = 494812 - 494812. Find j such that -2/3*j**3 + r - 10/3*j**2 + 16*j = 0.
-8, 0, 3
Let t(j) be the first derivative of -j**6/90 - 2*j**5/5 + 34*j**3/3 + 20. Let r(b) be the third derivative of t(b). Suppose r(q) = 0. Calculate q.
-12, 0
Factor 10/13*q**2 - 4476/13*q - 1792/13.
2*(q - 448)*(5*q + 2)/13
Let -296*c + 95*c**3 + 7*c**4 - 371*c**3 + 81*c**5 - 185*c**3 + 619*c**2 + 2*c**4 + 48 = 0. Calculate c.
-3, 4/9, 1
Let f = -1047 - -1051. Suppose y - 16 = -5*n + 10, -4*n = -2*y - 32. Factor 2 + 0 - 35*s**3 + 31*s**3 + f*s + n*s**4 - 5*s**2 - 3*s**2.
2*(s - 1)**2*(s + 1)*(3*s + 1)
Let n = -2 + 14. Let m(s) = -s**3 + 89*s**2 + 187*s - 91. Let v be m(91). Factor -v + n*u**2 + 364 - 3*u**3.
-3*u**2*(u - 4)
Let u(v) be the first derivative of v**3/12 - 23*v**2/2 - 47*v + 4979. Factor u(g).
(g - 94)*(g + 2)/4
Let d be ((-2 - -1)*7)/(0 + 1). Let n = 17 + d. Let 5*k + 12*k**2 + k**2 - n + 2*k**2 = 0. Calculate k.
-1, 2/3
Determine f so that 43*f**2 - 70227 - 156*f**2 - 5044*f + 15142*f - 250*f**2 = 0.
153/11
Let j(t) be the first derivative of 1/5*t**2 + 93 - 1/15*t**6 + 1/15*t**3 + 0*t - 7/25*t**5 - 3/10*t**4. Let j(r) = 0. Calculate r.
-2, -1, 0, 1/2
Let s(r) be the third derivative of -r**7/210 + 17*r**6/60 + 9*r**5/5 + 55*r**4/12 + 37*r**3/6 + r**2 + 161*r. Factor s(c).
-(c - 37)*(c + 1)**3
Let z(a) be the third derivative of -a**5/105 + 31*a**4/84 + 2060*a**2. Factor z(n).
-2*n*(2*n - 31)/7
Let r(c) be the second derivative of 2*c**7/21 - 16*c**6/15 - c**5/5 + 8*c**4/3 - 6266*c. Factor r(g).
4*g**2*(g - 8)*(g - 1)*(g + 1)
Suppose -n - 2*b = -14, -3*n + 30 = b + 2*b. Let u(m) = 7*m - 39. Let w be u(n). Factor 8*h**5 - 3*h**5 + 180*h**2 - w*h + 6*h**4 - 186*h**2 - 2*h**5.
3*h*(h - 1)*(h + 1)**3
Let o = -19 + -32. Let p = 131 + o. Factor -2*q**2 - q - 28*q - 11*q - p - 3*q**2.
-5*(q + 4)**2
Let i(y) be the second derivative of 1/24*y**4 - 1/24*y**6 + 0*y**3 + 19*y - 19/2*y**2 + 0 - 1/15*y**5. Let w(k) be the first derivative of i(k). Factor w(q).
-q*(q + 1)*(5*q - 1)
Suppose p - 13 = -10. Factor 2*l**p - 2*l**2 + 4*l**2 + 2*l**2 - 2*l**2.
2*l**2*(l + 1)
Let z(w) be the third derivative of w**7/1680 + w**6/120 - w**5/10 - 13*w**2 + 10*w. Find x, given that z(x) = 0.
-12, 0, 4
Let b = 110102/39 - 8468/3. Suppose -2/13*z**3 + b*z + 0*z**2 + 4/13 = 0. What is z?
-1, 2
Let o(g) = -12*g**3 + 593*g**2 - 975*g + 410. Let d(m) = -36*m**3 + 1774*m**2 - 2925*m + 1231. Let h(p) = -4*d(p) + 11*o(p). Factor h(r).
3*(r - 46)*(r - 1)*(4*r - 3)
Suppose -4*g + 344 = -60. Let w = -85 + g. Find v such that w*v**4 + 3*v**2 - 19*v + 2 + 15*v**2 + 7*v**2 - 56*v**3 + 32*v**2 = 0.
1/4, 1, 2
Let i(h) be the third derivative of h**7/15 + 31*h**6/60 + 79*h**5/105 - 37*h**4/21 + 8*h**3/7 - 7*h**2 - 2*h - 72. Let i(z) = 0. What is z?
-3, -2, 2/7
Solve 213/4*a - 39/2*a**2 - 69/2 + 3/4*a**3 = 0 for a.
1, 2, 23
Let z(g) = -115*g - 16. Let v be z(-9). Factor -45*l**3 + v - 2*l**5 + 35*l**2 - 3*l**5 + 25*l**4 - 10*l - 1019.
-5*l*(l - 2)*(l - 1)**3
Solve 0 + 0*m - 24/5*m**4 + 27*m**3 - 108/5*m**2 - 3/5*m**5 = 0.
-12, 0, 1, 3
Let u(t) be the third derivative of -t**6/160 + 3*t**4/8 - 2*t**3 + 11*t**2 - 211*t. Factor u(y).
-3*(y - 2)**2*(y + 4)/4
Let z(n) be the first derivative of -n**6/4 + 187*n**5/30 - 5*n**4 - 22*n**3 - 20*n**2/3 - 2114. Find u such that z(u) = 0.
-1, -2/9, 0, 2, 20
Let l(k) be the first derivative of -2/27*k**3 - 22/9*k**2 + 91 - 242/9*k. Factor l(o).
-2*(o + 11)**2/9
Let o be 32/3 - (-2)/6. Suppose -2*w = -5*a + 30, 3*a + w = -3 + 10. Factor 5*p**5 + 45*p**3 - 2*p**4 + 21*p**4 + o*p**a.
5*p**3*(p + 3)**2
Factor 0*w**4 + 2*w**4 + 60*w - 2*w**2 - 20751*w**3 + 20691*w**3.
2*w*(w - 30)*(w - 1)*(w + 1)
Let l(b) be the second derivative of -b**4/27 - 1844*b**3/27 + 2*b + 7086. Factor l(f).
-4*f*(f + 922)/9
Let v be 2155/(-2)*(-7 - (-3585)/525). Let j = v - 183. What is h in -33/7*h**3 - j*h + 12/7*h**4 - 57/7*h**2 + 0 = 0?
-1, -1/4, 0, 4
Let -28/5 - 1/5*b**2 - 16/5*b = 0. What is b?
-14, -2
Let o be 26/5 - (-5)/(-25). Suppose -p + 26 = 2*h - 0*p, 0 = o*h + 3*p - 66. Factor 8*q**2 + 4*q**3 - 9 - h*q + 9.
4*q*(q - 1)*(q + 3)
Let f(d) be the third derivative of d**6/20 + 4*d**5/15 - d**4 - 32*d**3/3 - 2648*d**2. Solve f(v) = 0.
-8/3, -2, 2
Let b(x) be the second derivative of -x**6/360 + x**5/90 + 7*x**4/72 + 2*x**3/9 - 65*x**2/2 - 14*x - 3. Let a(g) be the first derivative of b(g). Factor a(i).
-(i - 4)*(i + 1)**2/3
Factor -96721/2 - 1/2*p**2 + 311*p.
-(p - 311)**2/2
Let n = 28 - 26. Let t(b) be the first derivative of 0 - 2*b**2 - 2 + n + b**4 + 9. Solve t(h) = 0.
-1, 0, 1
Let k be (55 + (-2 - 55))/(-3). Factor k*m**3 + 0 + 2/9*m**2 - 2/9*m**4 - 2/3*m.
-2*m*(m - 3)*(m - 1)*(m + 1)/9
Let h be -37 - ((-18963)/215 + 51). Determine l so that -2/5*l - 3/5 + h*l**2 = 0.
-1, 3
Let x(p) = p + 2. Let m be x(15). Suppose -m*l = -15*l - 8. Solve -u**4 + 40*u**3 + l*u**4 - 41*u**3 - 4*u**4 + 4*u**2 + 4*u = 0.
-2, -1, 0, 2
Let 698*r**2 - 726 + r**5 + 97*r**3 + 4*r**5 - 29*r**4 + 253*r - 6*r**5 + 57*r**4 - 349*r**3 = 0. What is r?
-1, 1, 6, 11
Let f(x) be the first derivative of 7/30*x**5 + 10 + 8/9*x**4 + 11/9*x**3 + 2/3*x**2 - 9*x. Let d(p) be the first derivative of f(p). What is l in d(l) = 0?
-1, -2/7
Let v = -3720 - -51927/14. Let j = v + 80/7. Factor 1/3*y + 0 + 1/6*y**5 - 1/6*y**2 + 1/6*y**4 - j*y**3.
y*(y - 1)**2*(y + 1)*(y + 2)/6
Let c(v) be the first derivative of -2*v**7/315 - v**6/30 - 2*v**5/45 - 11*v**2 + 209. Let z(x) be the second derivative of c(x). Let z(y) = 0. What is y?
-2, -1, 0
Let c(z) be the first derivative of 5*z**4/34 - 2*z**3 + 55*z**2/17 - 18*z/17 - 1968. Determine l so that c(l) = 0.
1/5, 1, 9
Factor 12*o + 0*o + o**2 - 22 - 3*o + 1 - 13*o.
(o - 7)*(o + 3)
Let b(l) be the third derivative of l**5/15 - 14*l**4/3 - 320*l**3 - 549*l**2 - l. Factor b(m).
4*(m - 40)*(m + 12)
Let u(d) be the second derivative of -d**5/16 + 35*d**4/48 - 5*d**3/6 - 15*d**2/2 + 3681*d. Factor u(l).
-5*(l - 6)*(l - 2)*(l + 1)/4
Let v(d) be the first derivative of -d**3 - 1005*d**2/2 - 1002*d + 925. Factor v(q).
-3*(q + 1)*(q + 334)
Factor 84*l + 3*l**2 + 32 + 5*l**2 + 32*l**2.
4*(2*l + 1)*(5*l + 8)
Let j(b) be the third derivative of -b**7/525 - b**6/12 - 11*b**5/75 + 4*b**4/5 + 124*b**2 - 6. Suppose j(i) = 0. What is i?
-24, -2, 0, 1
Factor -14371 + 174*i + 2*i**2 + 25919 - 13488.
2*(i - 10)*(i + 97)
Factor 636/19*x - 2/19*x**2 - 634/19.
-2*(x - 317)*(x - 1)/19
Let g(u) be the second derivative of 9*u**5/20 + u**3/6 - u**2/2 - 5*u. Let m be g(1). Let 5*z**2 + m*z**2 - 5 - 28*z**2 - z**2 + 20*z = 0. Calculate z.
1/3, 1
Let t(j) = -185*j**3 + 18930*j**2 + 1275300*j + 2476460. Let i(n) = -13*n**3 + 1352*n**2 + 91093*n + 176890. Let w(u) = 85*i(u) - 6*t(u). Factor w(b).
5*(b + 2)*(b + 133)**2
Let q(k) = -93*k**4 + 827*k**3 + 272*k**2 + 18. Let h(g) = 743*g**4 - 6617*g**3 - 2177*g**2 - 153. Let x(o) = -2*h(o) - 17*q(o). Factor x(b).
5*b**2*(b - 9)*(19*b + 6)
Let g be 0/3 - (-6 - -4 - 1). Factor 12*t**4 + g*t**5 + 2*t**2 - 9*t**3 + t**2 + 27*t - 3*t - 33*t**2.
3*t*(t - 1)**2*(t + 2)*(t + 4)
Let o(k) be the third derivative of 196*k**2 - 19/40*k**4 + 0 + 1/5*k**3 - 21/100*k**5 + 0*k. Find h such that o(h) = 0.
-1, 2/21
Let v(i) = 7*i**3 + 798*i**2 - 3*i - 339. Let s be v(-114). Factor -3/2*u + s - 3/2*u**2.
-3*(u - 1)*(u + 2)/2
Solve 2/5*v**4 - 1/5*v**5 + 0 + 0*v - 1/5*v**3 + 0*v**2 = 0 for v.
0, 1
Suppose -3*h = -p - 1, -26 = h - 5*p - 3. Factor 30 + 68*t**h - 60*t - 64*t**2 + 26.
4*(t - 14)*(t - 1)
Suppose 3*z - 3*k = 21, -19*z + 5 = -24*z - 3*k. Let l(r) = r**3 - 2*r**2 - r + 2. Let s be l(z). Factor 2/3*j + s - 1/3*j**2.
-j*