 - 514*s**2 + 3516*s = 0.
-293, 0, 3
Let y(p) be the second derivative of -1/270*p**6 - 1/36*p**5 + 17/54*p**3 + 5/9*p**2 + 6*p - 2 + 1/36*p**4. Factor y(h).
-(h - 2)*(h + 1)**2*(h + 5)/9
Factor 104*v**4 + 1552*v - 720*v**2 - 15*v**5 + 608 + 604*v**3 - v**5 + 2168*v**2 + 27*v**5 - 7*v**5.
4*(v + 1)*(v + 2)**3*(v + 19)
Let d(t) be the third derivative of -t**6/1620 - 4*t**5/135 + 17*t**4/108 + 37*t**3/3 - 77*t**2. Let v(m) be the first derivative of d(m). Factor v(z).
-2*(z - 1)*(z + 17)/9
Let u be (-78)/195 + (-2)/5*-16. Factor u*v - 26*v - 4 - 14 - 24 - 2*v**2.
-2*(v + 3)*(v + 7)
Let d(h) be the second derivative of h**6/40 + 777*h**5/40 + 67597*h**4/16 + 33411*h**3/2 + 49923*h**2/2 + 276*h. Factor d(x).
3*(x + 1)**2*(x + 258)**2/4
Let a be (48/(-32))/(((-2)/2)/46). Suppose -7*x + 97 = a. Let -6/7*h**x - 2/7*h**2 - 2/7*h**5 + 0 + 0*h - 6/7*h**3 = 0. Calculate h.
-1, 0
Let y(w) be the third derivative of -w**8/168 - 76*w**7/35 + 1157*w**6/60 - 62*w**5 + 233*w**4/3 + 1255*w**2 - 2*w. Determine n, given that y(n) = 0.
-233, 0, 1, 2
Let n(c) be the third derivative of -1/8*c**6 - 1/8*c**4 + 0*c - 1/35*c**7 + 0*c**3 - 1/5*c**5 - 151*c**2 + 0. Suppose n(t) = 0. Calculate t.
-1, -1/2, 0
Suppose 228/5*z**3 + 224/5*z - 90*z**2 - 2/5*z**4 + 0 = 0. What is z?
0, 1, 112
Suppose 5*r = 16*r - 33. Factor -5*d**4 + 2*d**2 + 0*d**4 + 3*d**4 + 3*d + d**5 - 4*d**r.
d*(d - 3)*(d - 1)*(d + 1)**2
Let n be -6*(-4)/5 + 3/15. Let 15*b**4 + 62*b + 4*b - 52*b**5 + 15*b**2 - 3*b**3 - 66*b**2 + 49*b**n - 24 = 0. Calculate b.
-2, 1, 4
Let i(p) be the first derivative of 1/30*p**4 - 64/15*p + 62 - 8/15*p**3 + 12/5*p**2. Suppose i(w) = 0. Calculate w.
2, 8
Let c(p) = -2*p**2 - 23*p - 64. Let b be c(-6). Find n, given that 124/5*n**3 + 0 - 16/5*n + 6*n**5 + 8/5*n**b - 122/5*n**4 = 0.
-1/3, 0, 2/5, 2
Let x(a) = -2*a**3 + 26*a**2 + a - 87. Let w be x(2). What is b in 5/6 - 2/3*b**2 + b**w - b - 1/6*b**4 = 0?
-1, 1, 5
Let v = 274331 - 274329. Determine f, given that -5/7*f**4 + 0 + 3/7*f**v - 2/7*f**3 + 0*f = 0.
-1, 0, 3/5
Let j = 6424 + -6422. Let g(q) be the first derivative of 5/2*q + 20 + 25/8*q**j + 5/4*q**3. Factor g(w).
5*(w + 1)*(3*w + 2)/4
Let h(d) = 74*d**2 + 651*d + 665. Let j(r) = -34*r**2 - 325*r - 331. Let l(n) = 5*h(n) + 11*j(n). Determine s so that l(s) = 0.
-79, -1
Let y(l) be the third derivative of l**8/110880 - 13*l**7/27720 - 137*l**5/60 - 280*l**2. Let z(h) be the third derivative of y(h). Factor z(w).
2*w*(w - 13)/11
Let y(i) be the first derivative of -i**4/4 + 2*i**3/3 + 11*i**2/2 + 9*i + 199. Let b be y(-2). Factor -72/19 + 84/19*j**b - 26/19*j**2 - 168/19*j - 18/19*j**4.
-2*(j - 3)**2*(3*j + 2)**2/19
Let l(d) be the third derivative of d**7/2100 - 11*d**6/600 - 2*d**5/25 + 8*d**2 - 158. Factor l(y).
y**2*(y - 24)*(y + 2)/10
Suppose 5*f**4 - 611*f**2 + 92*f**3 + 3555*f + 326*f**2 + 3205*f - 7*f**4 - 1093*f**2 = 0. Calculate f.
0, 13, 20
Factor 0 - 625*o + 175/4*o**2 + 34*o**3 - 4*o**4.
-o*(o + 4)*(4*o - 25)**2/4
Let m(c) = 4*c**2 - 10*c - 26. Suppose 0 = -5*a + 26*i - 27*i - 13, 2*a - 11 = 5*i. Let l be m(a). Factor 4*v + l + 2/5*v**2.
2*(v + 5)**2/5
Let b = 276 + -275. Let n(d) = 2*d**2 - 10*d + 10. Let o be n(b). Factor 0*l - 1/4*l**3 + 0*l**o + 0.
-l**3/4
Suppose -11*w + 14*w = 12. Determine r so that -103*r - w*r**2 + 24*r + 40 + 43*r = 0.
-10, 1
Let i(w) be the first derivative of 60/13*w - 29 + 29/13*w**2 - 2/39*w**3. Factor i(y).
-2*(y - 30)*(y + 1)/13
Let u(v) be the third derivative of v**6/60 + 23*v**5/6 - 29*v**4/3 - 77*v**2 - v. Find f, given that u(f) = 0.
-116, 0, 1
Let y(n) be the second derivative of -n**7/280 - 2*n**6/15 - 37*n**3/2 - 3*n + 55. Let g(i) be the second derivative of y(i). Factor g(f).
-3*f**2*(f + 16)
Let m(k) be the first derivative of -3*k**5/20 + 287*k**4/16 - 127*k**3 - 135*k**2/2 + 3766. Find s such that m(s) = 0.
-1/3, 0, 6, 90
Suppose 1574*o + 1511*o = 1273*o + 9060. Let 9/8*q**3 - 3/2*q**2 - 3/8*q**o - 3/2*q + 3/4*q**4 + 0 = 0. Calculate q.
-1, 0, 2
Let i be 50/425 + 32/17. Factor -184*f + 0*f**2 - 6*f**2 + 4 + 2*f**i + 152 + 32.
-4*(f - 1)*(f + 47)
Let i(c) be the second derivative of -5/3*c**3 + 6 + 0*c**2 - 2*c - 15/4*c**4 + 11/4*c**5. Solve i(j) = 0.
-2/11, 0, 1
Let o(l) = 28*l**3 - 348*l**2 - 1852*l - 1444. Let j(k) = -16*k**3 + 199*k**2 + 1058*k + 825. Let a(i) = 16*j(i) + 9*o(i). Factor a(f).
-4*(f - 17)*(f + 1)*(f + 3)
Let b(l) be the second derivative of -l**6/10 - 9*l**5/5 + 9*l**4/2 + 34*l**3 + 117*l**2/2 - 1675*l. Factor b(a).
-3*(a - 3)*(a + 1)**2*(a + 13)
Let y be 362/(-1267)*2*14/(-16). Let d(m) be the second derivative of 3/20*m**5 - 18*m + y*m**4 + 0*m**2 + 0*m**3 + 0. Let d(c) = 0. What is c?
-2, 0
Suppose -357/4*k + 87/4*k**2 - 3/4*k**3 - 4335/4 = 0. What is k?
-5, 17
Let r(w) be the second derivative of w**6/72 - w**5/12 + w**3 + 12*w**2 - 257*w. Let a(j) be the second derivative of r(j). Factor a(u).
5*u*(u - 2)
Suppose -5*v = 199 - 79. Let r be ((-556)/v - 1) + 2/4. Determine z so that -4/3*z**4 - r*z**2 + 68/3*z + 28/3*z**3 - 8 = 0.
1, 2, 3
Suppose 420 = -2*z - 10*z. Let r be 15/z - (-99)/84. Let -9/4*l**4 + 3/2*l**2 + 3/2*l**3 - 9/4*l + r + 3/4*l**5 = 0. Calculate l.
-1, 1
Let n(r) be the third derivative of -4*r**7/945 + 59*r**6/108 - 59*r**5/15 + 209*r**4/27 + 280*r**3/27 - 2*r**2 + 97. Let n(i) = 0. Calculate i.
-1/4, 2, 70
Let k(p) = -2*p**3 - p**2 - 155*p + 590. Let v(s) = -3*s**3 - 153*s + 588. Let q(f) = 6*k(f) - 5*v(f). Factor q(a).
3*(a - 5)**2*(a + 8)
Let b(d) = d**3 - 6*d**2 + d - 3. Let f be b(6). What is v in -17*v + 21 - 22 + 5*v + 32 - f*v**2 + 5 = 0?
-6, 2
Let v be (1 + 2 + 1)/2. Suppose -2*l = 3*a - 19, 25*l - 26 = 21*l - 2*a. Factor -l*w + w + w - 3*w**2 + v*w.
-w*(3*w + 1)
Find h, given that -1007*h**2 + 1125*h**2 + 974 + 3730 - 2*h**3 - 1904*h = 0.
3, 28
Let y = 41 - 34. Let s = 5 + -2. Factor 7*q + y*q - 5*q + s*q**2 + 0*q.
3*q*(q + 3)
Let n(s) be the third derivative of -s**5/60 - 83*s**4/24 - 27*s**3 - 10581*s**2. Factor n(x).
-(x + 2)*(x + 81)
Let d(x) be the third derivative of -x**8/336 - 2*x**7/35 - 41*x**6/120 - 19*x**5/30 + 3*x**4/2 + 28*x**3/3 + 1199*x**2. Factor d(q).
-(q - 1)*(q + 2)**3*(q + 7)
Let h be 11 + (-9)/1 + 28/(-63). Let b = -66 - -200/3. Determine o, given that -b - 10/9*o**2 - 2/9*o**3 - h*o = 0.
-3, -1
Let o(z) be the third derivative of z**5/20 + 9*z**4/8 + 9*z**3 + 229*z**2. Factor o(m).
3*(m + 3)*(m + 6)
Let n(c) be the third derivative of -c**6/960 - c**5/96 + 17*c**4/192 + 7*c**3/16 + 796*c**2. Determine a so that n(a) = 0.
-7, -1, 3
Let h be 4/51*(-17)/(-68). Let t = h - -11/51. Find w such that -10/17*w**3 + 0*w + t*w**2 + 0 + 6/17*w**5 - 8/17*w**4 = 0.
-1, 0, 1/3, 2
Let l(b) be the second derivative of -57 + 1/4*b**4 - 1/120*b**5 - 5/3*b**3 + 2*b - 50/3*b**2. Solve l(h) = 0 for h.
-2, 10
Let h(n) be the first derivative of -n**4/26 + 578*n**3/39 - 88*n**2 + 2280*n/13 + 3501. Solve h(v) = 0 for v.
2, 285
Let x be (-100)/(-105)*(-112)/80*45/(-18). Factor 5/3*o**3 - x - 5*o + 0*o**2.
5*(o - 2)*(o + 1)**2/3
Let o(s) be the first derivative of -1/20*s**5 - 3*s**2 + 3/2*s**4 - 88 + 36*s - 143/12*s**3. Factor o(b).
-(b - 12)**2*(b - 1)*(b + 1)/4
Let a = 19 + -335. Let v = 633/2 + a. Solve -n - 1/2 - v*n**2 = 0.
-1
Let s(n) be the third derivative of 5/48*n**4 + 0*n - 1/120*n**5 + 20*n**2 - 1/2*n**3 + 0. Solve s(m) = 0 for m.
2, 3
Let t = -19 - -21. Factor -20 + 0 + 24*s - 8*s**t + 4*s**2.
-4*(s - 5)*(s - 1)
Let u(q) = -16*q**2 - 144*q + 822. Let f(w) = -38*w**2 - 288*w + 1645. Let g(b) = 2*f(b) - 5*u(b). Find l such that g(l) = 0.
-41, 5
Let y(p) be the first derivative of 605*p**3/3 + 5720*p**2 + 54080*p + 1220. Factor y(h).
5*(11*h + 104)**2
Let k(s) be the second derivative of 0 - 1/15*s**6 - 13/20*s**5 + 1/6*s**4 - 16*s + 0*s**3 + 13/42*s**7 + 0*s**2. Solve k(a) = 0 for a.
-1, 0, 2/13, 1
Let q = 8378/13 - 644. Let z be (18 + -18)*5/10. Find b such that -q*b**3 + z + 4/13*b + 10/13*b**2 = 0.
-1/3, 0, 2
Let u(l) be the third derivative of l**6/120 + 119*l**5/240 + 97*l**4/48 - 7*l**3/3 - 2911*l**2. Factor u(g).
(g + 2)*(g + 28)*(4*g - 1)/4
Let c = 98419/229824 + 11/32832. Determine m so that 36/7*m - 12 + 45/7*m**2 + c*m**3 = 0.
-14, -2, 1
Determine o, given that 1933*o**2 - 439130*o**5 + 87*o**4 - 738*o**3 - 1521 + 741*o - 499*o**2 + 43