 second derivative of m**5/140 - 5*m**4/42 - 37*m**3/42 - 13*m**2/7 + 10*m - 143. Find z, given that r(z) = 0.
-2, -1, 13
Let c(s) be the first derivative of -s**7/5460 + s**6/780 + s**5/195 - 2*s**3/3 - 22*s - 132. Let f(j) be the third derivative of c(j). Let f(n) = 0. What is n?
-1, 0, 4
Suppose -2*s + 217555 = 217555. Factor s + 3/2*n**3 + n**4 + 0*n**2 - 1/2*n**5 + 0*n.
-n**3*(n - 3)*(n + 1)/2
Let r(d) be the first derivative of -d**4/4 - 12*d**3 - 299*d**2/2 - 264*d - 1353. Find s, given that r(s) = 0.
-24, -11, -1
Factor -237 + 2*l**3 + 167 + 238*l + 554*l**2 - 508*l**2 - 216.
2*(l - 1)*(l + 11)*(l + 13)
Let i(a) be the third derivative of a**8/5040 - a**7/105 + a**6/9 - 8*a**5/15 - 2*a**3/3 + 95*a**2. Let x(r) be the third derivative of i(r). Factor x(w).
4*(w - 10)*(w - 2)
Let o = -381404 + 3814881/10. Factor -2/5 - 58/5*u - o*u**2.
-(29*u + 2)**2/10
Let q = -749 - -654. Let v be (-4)/(-10)*q/(-114). Factor 0*r - 1/3*r**5 + 1/3*r**4 - v*r**2 + 1/3*r**3 + 0.
-r**2*(r - 1)**2*(r + 1)/3
Let u(f) be the second derivative of f**5/5 - f**4 + 2*f**3 - 2*f**2 - 1817*f. Factor u(s).
4*(s - 1)**3
Let y(h) be the second derivative of -h**5/110 + 65*h**4/66 - 98*h**3/11 - 360*h**2/11 - h - 1652. Factor y(k).
-2*(k - 60)*(k - 6)*(k + 1)/11
Suppose 0 = -34*x + 25*x + 18. Let -3 + 3*z**2 + 114*z**2 + 3*z**4 + 60*z**3 - 52*z**x - 54 - 60*z - 11*z**2 = 0. Calculate z.
-19, -1, 1
Solve -33 + 1/2*a**2 + 31/2*a = 0.
-33, 2
What is t in -11*t - 5*t**2 + 16*t + 3*t**2 - t - 32 + 3*t**2 = 0?
-8, 4
Let x(b) be the second derivative of -b**7/56 - b**6/2 - 177*b**5/40 - 45*b**4/4 - 81*b**3/8 - 4*b - 159. Suppose x(r) = 0. Calculate r.
-9, -1, 0
Let f(x) = x**2 - x + 2. Let j(l) = -8*l**2 - 5022*l + 3165108. Let h(u) = -20*f(u) - 2*j(u). Factor h(k).
-4*(k - 1258)**2
Let d(s) = -s**3 + 10*s**2 - s + 10. Let w be d(10). Suppose w = -y + 8*y - 756. Factor -104*n**3 + n**4 + 4*n - 4*n + 4*n**2 + y*n**3.
n**2*(n + 2)**2
Let w(h) be the second derivative of -h**7/13860 - h**6/792 - h**5/165 - h**4/6 + h**3/3 + 6*h. Let s(y) be the third derivative of w(y). Factor s(i).
-2*(i + 1)*(i + 4)/11
Let u(p) = 5*p**3 - 78*p**2 + 336*p - 403. Let s(o) = 10*o**3 - 155*o**2 + 670*o - 805. Let f(a) = -3*s(a) + 5*u(a). Suppose f(c) = 0. Calculate c.
2, 5, 8
Let c be ((-722)/(-180))/19 - 3/(12 + 3). Let f(x) be the third derivative of 0*x - c*x**4 + 0*x**3 - 5*x**2 - 1/450*x**5 + 0. Factor f(u).
-2*u*(u + 2)/15
Let t(z) be the first derivative of -18*z**5/5 + 39*z**4 - 218*z**3/3 - 260*z**2 - 200*z + 28. Solve t(y) = 0 for y.
-2/3, 5
Let n be 0*(-2)/(-6) - (-598 - -598). Factor n - 34/3*r**2 - 2/3*r**3 + 0*r.
-2*r**2*(r + 17)/3
Let n = 18 - -66. Suppose -3*f + 12*g - 11*g = -188, -5*g + n = f. Factor -f*c - 7*c**5 + c**5 - 76*c**3 + c**5 + 100*c**2 + 16 + 28*c**4 + c**5.
-4*(c - 2)**2*(c - 1)**3
Let m(n) be the first derivative of -5*n**3/3 - 5175*n**2 - 5356125*n - 4913. Determine q so that m(q) = 0.
-1035
Suppose 0 + 136*x**3 + 0*x + 350*x**2 + 1/2*x**5 - 37/2*x**4 = 0. What is x?
-2, 0, 14, 25
Let x(h) be the third derivative of h**8/2016 - 3*h**6/80 - 3*h**5/20 + 91*h**2 + 54*h. Factor x(u).
u**2*(u - 6)*(u + 3)**2/6
Solve -2*h**3 - h + 203880*h**2 - 203240*h**2 + 21*h - 3*h**3 - 468 - 2092 = 0 for h.
-2, 2, 128
Let g(p) be the second derivative of -p**6/315 + 11*p**5/105 - 74*p**4/63 + 26*p**3/7 + 135*p**2/7 + p - 1559. Suppose g(b) = 0. What is b?
-1, 5, 9
Factor -2/5*a**4 - 8284/5*a**3 - 8586368/5 + 17164448/5*a - 8569794/5*a**2.
-2*(a - 1)**2*(a + 2072)**2/5
Let a(p) be the first derivative of 3/4*p**4 - 3/2*p**2 + p**3 - 62 - 3*p. Suppose a(q) = 0. What is q?
-1, 1
Let x be -5*4/(-5)*1. Factor -3 - 121*p - x*p**2 + 5*p**2 - 11 + 116*p.
(p - 7)*(p + 2)
Let c(h) be the third derivative of -h**6/24 + 8*h**5 + 3035*h**4/24 + 425*h**3 + 211*h**2 - 5. Factor c(q).
-5*(q - 102)*(q + 1)*(q + 5)
Let w(y) be the third derivative of 5*y**8/672 - 2*y**7/21 + 5*y**6/12 - 2*y**5/3 - 935*y**2. Solve w(b) = 0.
0, 2, 4
Let u be (-5)/4*(-217 - -213). Let n(h) be the first derivative of -5*h - u*h**3 + 5/4*h**4 + 15/2*h**2 + 38. Find z such that n(z) = 0.
1
Suppose -88*p + 38 + 578 = 0. Let h(s) be the second derivative of 0*s**2 - p*s - 1/60*s**4 + 0 + 0*s**3. Factor h(v).
-v**2/5
Let w be 4758/18 + 6 - ((-7)/((-28)/12) + 3). Determine t, given that -128/3*t**4 + 788/3*t**3 + 466/3*t**2 + 5/3*t**5 - 338/3 - w*t = 0.
-1, -2/5, 1, 13
Let o = 693194/555 + -1249. Let n = o + 6671/6105. Factor -n - 18/11*y - 6/11*y**2.
-6*(y + 1)*(y + 2)/11
Let r(w) = 9*w**4 + 92*w**3 - 161*w**2 + 110*w - 10. Let b(f) = -6*f**4 - 62*f**3 + 107*f**2 - 74*f + 7. Let a(d) = -10*b(d) - 7*r(d). Solve a(k) = 0.
-10, 0, 1
Let x(m) be the second derivative of 10*m**2 - 560/3*m**3 + 29*m + 0 + 16225/12*m**4 - 3025/4*m**5. Find q, given that x(q) = 0.
2/55, 1
Let m(x) be the third derivative of x**6/1620 + 11*x**5/90 + 121*x**4/12 - 98*x**3/3 + 127*x**2. Let l(c) be the first derivative of m(c). Solve l(d) = 0 for d.
-33
Suppose 2488 = -431*z - 255*z + 3860. What is k in -3/7*k**z - 18/7 + 15/7*k = 0?
2, 3
Let m(q) = 5*q**3 - 25*q**2 + 34*q - 381. Let g be m(6). Factor -27*y**2 - 324 + 3/2*y**g + 162*y.
3*(y - 6)**3/2
Let g(o) be the first derivative of -16/9*o**3 + 2/15*o**5 + 0*o - 32 + 5/6*o**4 - 4*o**2. Factor g(u).
2*u*(u - 2)*(u + 1)*(u + 6)/3
Let v(w) = -w**2 - 11*w - 19. Let r be v(-10). Let l be r/(-36) + (-19)/(-4). Factor l*s**3 + 14*s**4 + 9*s**5 + s**4 - 3*s**2 - 2*s**3.
3*s**2*(s + 1)**2*(3*s - 1)
Let m = -17946 - -17949. Let p(o) be the first derivative of -1/6*o**4 + 9 - 81*o**2 + 486*o + 6*o**m. Factor p(q).
-2*(q - 9)**3/3
Let f be (-1 - 6/4)*312/195 - -6. Let c(u) be the third derivative of -1/30*u**5 - 1/12*u**4 - 17*u**f + 0*u**3 + 0*u + 0. Factor c(n).
-2*n*(n + 1)
Let i(f) be the second derivative of f**6/105 - 13*f**5/70 + 29*f**4/21 - 36*f**3/7 + 72*f**2/7 + 3275*f. Factor i(t).
2*(t - 6)*(t - 3)*(t - 2)**2/7
Let a(o) = 8*o**2 + 97*o + 145. Let r(v) = v**2 + v + 8. Let s(h) = 5*a(h) - 35*r(h). Factor s(q).
5*(q + 1)*(q + 89)
Find j such that 3232*j**3 + 486 + 54*j**2 - 6466*j**3 + 3237*j**3 + 315*j + 102 = 0.
-7, -4
Let b(r) be the first derivative of r**4/6 - 64*r**3/3 + 975*r**2 - 57500*r/3 + 4798. Factor b(v).
2*(v - 46)*(v - 25)**2/3
Let a(y) = -y**3 + 4. Suppose 5*i + 65 = 70. Let l(u) = u**2 - u - u**2 - u**2 - i + 2*u**2. Let o(h) = -a(h) - 3*l(h). Solve o(w) = 0.
1
Let n(f) be the first derivative of -f**3/21 + 323*f**2/14 + 1111. Factor n(t).
-t*(t - 323)/7
Let o(u) be the second derivative of 0 - 16/7*u**2 + 4/21*u**3 - 1/70*u**5 - 145*u + 2/21*u**4. Suppose o(m) = 0. Calculate m.
-2, 2, 4
Let p(j) = -20*j**3 + 572*j**2 - 1516*j + 1024. Let l(v) = -8*v**3 + 229*v**2 - 606*v + 410. Let i(s) = -12*l(s) + 5*p(s). Solve i(x) = 0 for x.
1, 2, 25
Let k(d) be the first derivative of -11 - 5/2*d**2 - 5/12*d**4 + 5/3*d**3 - 14*d. Let p(y) be the first derivative of k(y). Solve p(a) = 0 for a.
1
Let b(f) = 4*f + 5. Let g(o) = 15*o + 21. Let t(i) = -22*b(i) + 6*g(i). Let s be t(-7). Determine a so that 0*a - 54 + 53 + a + s*a**2 = 0.
-1, 1/2
Let z(p) be the second derivative of p**5/10 - 1037*p**4/6 + 2071*p**3/3 - 1035*p**2 + 8*p - 83. Determine o so that z(o) = 0.
1, 1035
What is i in 22*i**2 - 50*i + 1044 - 27*i**2 + 149 - 193 = 0?
-20, 10
Let t(a) be the third derivative of -a**7/280 - 21*a**6/20 - 3611*a**5/40 - 1743*a**4/4 - 6889*a**3/8 + a**2 + 197. Factor t(c).
-3*(c + 1)**2*(c + 83)**2/4
Let t = -51 - -25. Let d be 3*(-2)/(-3)*(-39)/t. Factor -2*c**d + 3*c**3 + 1 + 3 + 0*c**2 - 3*c**2.
(c - 2)**2*(c + 1)
Suppose 120*b + 40*b - 297 = 61*b. Let x = 19/15 - -1/15. Factor 24*t**2 - 144*t - x*t**b + 288.
-4*(t - 6)**3/3
Let d be (-4)/42*(334/5177 - (-663)/(-186)). Factor 7/3*h**2 - d*h**3 + 1/3*h - 7/3.
-(h - 7)*(h - 1)*(h + 1)/3
Let x = 10466 - 10464. Let k(r) be the second derivative of -121/10*r**5 + 26*r - 92/3*r**3 + 0 - 143/3*r**4 - 8*r**x. Factor k(l).
-2*(l + 2)*(11*l + 2)**2
Let v be ((-25)/15)/((-25)/60). Factor -24 + 22*r - 36*r**3 - 14*r + 28*r - 16 - v*r**4 + 44*r**2.
-4*(r - 1)**2*(r + 1)*(r + 10)
Factor 360*l**2 + 79*l**4 - 165*l**3 - 39*l**4 + 1215*l - 30*l**4 - 120*l**3.
5*l*(l - 27)*(l - 3)*(2*l + 3)
Factor -1865*b**2 - 1864*b**2 + 455*b + 3724*b**2 + 1900.
-5*(b - 95)*(