- v**3 + 13*v**2/10 - 4*v/5 + 539. Determine a, given that f(a) = 0.
1, 4
Let u(l) be the second derivative of l**4/3 - 144*l**3 - 1314*l**2 - 2489*l. Suppose u(s) = 0. What is s?
-3, 219
Let s(c) be the third derivative of 0 - 64/3*c**3 - 2*c**2 - 2/3*c**5 - 176*c - 1/30*c**6 - 16/3*c**4. Factor s(k).
-4*(k + 2)*(k + 4)**2
Let q = -631 - -633. Find t, given that -18*t**2 + 9*t**2 + 0*t**q - t**2 + 5*t**2 = 0.
0
Determine p so that 2/11*p**3 + 3524/11*p**2 + 1548792/11*p - 3111696/11 = 0.
-882, 2
Suppose 3 = 5*y - 12. Suppose 2*l + 5*o = 24, 4*l - 22 = -l - y*o. Factor -741*s + 741*s - 11*s**3 - l*s**2 - 9*s**4.
-s**2*(s + 1)*(9*s + 2)
Factor 673/3*l**3 + 18*l**4 + 0 + 784/3*l + 1/3*l**5 - 504*l**2.
l*(l - 1)**2*(l + 28)**2/3
Suppose -782*m = -2278 - 68. What is x in 52/9*x - 28/9 - 20/9*x**2 - 4/9*x**m = 0?
-7, 1
Let i(d) be the second derivative of d**5/270 + 5*d**4/108 + 2*d**3/9 + 29*d**2 + 69*d. Let r(n) be the first derivative of i(n). Factor r(g).
2*(g + 2)*(g + 3)/9
Let u be (-22)/60 + ((-8)/(-20) - (-44)/55). Factor 4/3*l**3 + u + 8/3*l + 1/6*l**4 + 3*l**2.
(l + 1)**3*(l + 5)/6
Let h be (-1)/3 + (-1856)/48. Let q(s) = 19*s**2 - 25*s - 31. Let b(t) = 3*t**2 - 4*t - 5. Let m(y) = h*b(y) + 6*q(y). Factor m(n).
-3*(n - 3)*(n + 1)
Let t(v) be the first derivative of v**8/84 + 2*v**7/105 - 2*v**6/15 - 4*v**5/15 + v**2/2 + 12*v - 79. Let m(c) be the second derivative of t(c). Factor m(p).
4*p**2*(p - 2)*(p + 1)*(p + 2)
Factor 307/5*k**3 + 19656/5*k + 21168/5 - 47/5*k**4 + 1/5*k**5 + 5571/5*k**2.
(k - 28)**2*(k + 3)**3/5
Let u = 1492062/5 + -298412. Solve -24/5 + 16/5*c - u*c**3 + 2/5*c**2 = 0 for c.
-3, 2
Let x(f) be the second derivative of 30*f**2 + 5/12*f**4 + 0 - 126*f + 65/6*f**3. Factor x(p).
5*(p + 1)*(p + 12)
Let m(f) = -f**2 + 4*f - 13. Let c be m(9). Let g = c - -63. Factor 0 - 19*o + 49*o - g*o**2 + 0.
-5*o*(o - 6)
Let v(a) = -a**2 - a. Let p be 10/((-5)/(-1)) - 3. Let o(u) = 6*u**4 - 27*u**3 + 32*u**2 - 16*u. Let r(t) = p*o(t) + 4*v(t). Suppose r(f) = 0. What is f?
0, 1/2, 2
Let g(c) be the second derivative of -c**6/40 + 9*c**5/40 - 9*c**4/16 + c**3/2 - 15*c - 57. Factor g(t).
-3*t*(t - 4)*(t - 1)**2/4
Solve 252*l - 1/2*l**3 + 0 - 165/2*l**2 = 0.
-168, 0, 3
Let z be 20/(-20) + (-105)/15 - 104/(-11). Let f = -1123/55 - -103/5. Factor -f*v**2 - 12/11*v - z.
-2*(v + 2)*(v + 4)/11
Let w(z) = z**2 - 3*z + 3. Let s be w(0). Factor 7 - 24*k - 1576*k**2 + 1561*k**2 + 3*k**s + 137.
3*(k - 4)**2*(k + 3)
Determine m so that 16/9*m**2 + 0*m + 0 - 22/3*m**3 + 8/9*m**4 = 0.
0, 1/4, 8
Factor -60*s + 496 - 948*s - 1900*s**2 + 1312*s**2 + 20*s**3.
4*(s - 31)*(s + 2)*(5*s - 2)
Let o(i) be the second derivative of i**7/2940 + i**6/180 + 4*i**5/105 + i**4/7 + 205*i**3/6 - 180*i. Let h(u) be the second derivative of o(u). Factor h(j).
2*(j + 2)**2*(j + 3)/7
Let s be -14*9/18 - ((-29)/14)/((-75)/(-750)). Factor -534/7*b - s - 33/7*b**2.
-3*(b + 16)*(11*b + 2)/7
Suppose -45*v + 184 = -26 - 105. Let a(q) be the first derivative of -2/35*q**5 + 4/7*q**2 - 1/14*q**4 + 0*q + 8/21*q**3 + v. Factor a(c).
-2*c*(c - 2)*(c + 1)*(c + 2)/7
Let o(k) be the third derivative of -k**8/420 + 4*k**7/175 + k**6/75 - 16*k**5/25 + 71*k**4/30 - 4*k**3 - 3535*k**2. Determine w so that o(w) = 0.
-3, 1, 2, 5
Let f(y) be the third derivative of y**5/60 + 11*y**4/72 - 2*y**3/9 + 1754*y**2. Let f(d) = 0. Calculate d.
-4, 1/3
Let l(u) be the third derivative of u**9/100800 - 73*u**5/20 + 15*u**2 - 5. Let h(b) be the third derivative of l(b). What is p in h(p) = 0?
0
Let f(s) = -233*s + 699. Let x be f(3). Let r(d) be the second derivative of 4/21*d**3 - d + 0*d**2 + x - 1/42*d**4. Factor r(h).
-2*h*(h - 4)/7
Let v(d) = 15*d**2 - 2*d + 1. Let a(y) = -31*y**2 - 117*y + 120. Let r(f) = -a(f) - 2*v(f). Factor r(l).
(l - 1)*(l + 122)
Let w = 78572 + -551072/7. Let k = 153 + w. Let k*z**3 + 0*z + 0 + 9/7*z**2 = 0. Calculate z.
-3, 0
Let t(a) be the second derivative of -a**7/63 + 16*a**6/135 + 5*a**5/2 - 289*a**4/27 - 1760*a**3/9 - 3200*a**2/9 - 585*a + 1. Find b, given that t(b) = 0.
-5, -2/3, 8
Solve -36/5*k + 4/5*k**3 + 684/5 - 76/5*k**2 = 0.
-3, 3, 19
Let j(g) be the second derivative of 5*g**7/147 - 99*g**6/35 - 187*g**5/70 + 139*g**4/14 + 26*g**3/3 - 120*g**2/7 + 1471*g. Determine s so that j(s) = 0.
-1, 2/5, 1, 60
Let t(s) be the third derivative of -s**10/75600 - s**9/2160 - 23*s**5/60 - 27*s**2. Let p(z) be the third derivative of t(z). Let p(k) = 0. What is k?
-14, 0
Let t(q) = 39*q**2 - 38*q + 21. Let w(m) = 98 - 19*m**2 + 19*m - 108 + 0*m**2. Let h(j) = -4*t(j) - 9*w(j). Solve h(y) = 0 for y.
3/5, 2/3
Solve -14*p**3 - 52/3*p**2 - 16/3*p + 14/3*p**5 + 0 + 8/3*p**4 = 0 for p.
-1, -4/7, 0, 2
Let m = 686 + -632. Suppose 6*i = 90 - m. Factor -i*l - 15/4*l**2 - 3/4*l**3 - 3.
-3*(l + 1)*(l + 2)**2/4
Let z(h) be the second derivative of -h**5/5 + 26*h**3 + 140*h**2 - 82*h - 1. Let z(y) = 0. What is y?
-5, -2, 7
Factor 320 + 848/3*g + 1/3*g**4 + 31/3*g**3 + 260/3*g**2.
(g + 3)*(g + 4)**2*(g + 20)/3
Let h(v) be the third derivative of v**10/196560 + v**9/32760 + v**4/12 - 20*v**3/3 + 145*v**2. Let d(p) be the second derivative of h(p). Factor d(c).
2*c**4*(c + 3)/13
Let s(h) be the first derivative of 0*h + 3/20*h**5 + 0*h**2 + 0*h**4 - 1/180*h**6 - 4 - h**3. Let i(t) be the third derivative of s(t). Factor i(p).
-2*p*(p - 9)
Let o(d) = 11*d - 291. Let p be o(27). Let c be 4*((-43)/(-7) - p)*1. What is r in -c*r**2 + 0*r + 4/7 = 0?
-1, 1
Let t be (-1)/(-7)*((-13)/(-5) + 69/(-115)). Determine f so that -t*f**3 + 0 - 6*f**2 + 36/7*f + 10/7*f**4 - 2/7*f**5 = 0.
-2, 0, 1, 3
Let n(l) = 11*l**3 - 94*l**2 + 205*l + 346. Let o(x) = -155*x**3 + 1315*x**2 - 2865*x - 4845. Let u(b) = -85*n(b) - 6*o(b). Factor u(q).
-5*(q - 17)*(q - 4)*(q + 1)
Let i(c) be the second derivative of 650/3*c**3 + 0 + 191/4*c**4 - 5/2*c**5 + 1/30*c**6 + 2*c + 338*c**2. Factor i(d).
(d - 26)**2*(d + 1)**2
Let h(b) be the first derivative of -3*b**4/4 + 1620*b**3 - 1312200*b**2 + 472392000*b + 683. Factor h(r).
-3*(r - 540)**3
Let t(n) be the first derivative of 5*n**4/4 - 10*n**3 + 25*n**2/2 + 60*n - 325. Factor t(a).
5*(a - 4)*(a - 3)*(a + 1)
Factor -7*g - 41*g + 3*g**2 - 199 - 27*g + 3*g - 44.
3*(g - 27)*(g + 3)
Let f(w) be the third derivative of -91/30*w**5 + 2*w**2 - 4/3*w**3 + 0*w - 143/120*w**6 - 17/6*w**4 + 7/48*w**8 + 6 + 2/15*w**7. Solve f(t) = 0 for t.
-1, -2/7, 2
Let w(t) be the second derivative of -54*t - 1/2*t**4 + 0 - 2/5*t**5 + 8*t**2 + 1/15*t**6 + 10/3*t**3. Factor w(k).
2*(k - 4)*(k - 2)*(k + 1)**2
Let c(g) be the second derivative of g**7/126 - 13*g**6/90 + 2*g**5/5 + 6*g**4 - 24*g**3 - 216*g**2 + 14*g - 2. Factor c(l).
(l - 6)**3*(l + 2)*(l + 3)/3
Let l(h) = h**2 - 2. Let y(x) = -5*x**2 - 87*x + 422. Let u(p) = 6*l(p) + y(p). Factor u(g).
(g - 82)*(g - 5)
Let c(r) be the second derivative of r**5/80 + 193*r**4/48 + 9215*r**3/24 - 9409*r**2/8 - 200*r - 3. Factor c(d).
(d - 1)*(d + 97)**2/4
Let j = 703/6 - 185/3. Let o = j + -55. Factor o - 9/4*z**2 - 7/4*z.
-(z + 1)*(9*z - 2)/4
Let v(t) be the first derivative of -2*t + 5/2*t**2 + 9/4*t**4 - 47 + 16/3*t**3. Determine s, given that v(s) = 0.
-1, 2/9
Let u = 1105 + -1103. Let c be (8/(-6))/((-4)/6). Factor -5*b + 83*b**u - 83*b**2 + 3*b**3 + c*b.
3*b*(b - 1)*(b + 1)
Factor -5220*p**2 - 186*p**3 - 782*p**3 - 540*p - 140*p**4 - 727*p**3.
-5*p*(p + 6)**2*(28*p + 3)
Suppose -1613*b - 10 = -1615*b - z, -26 = -b - 4*z. Determine f so that -14/3*f**b + 4*f + 0*f**3 + 0 + 2/3*f**4 = 0.
-3, 0, 1, 2
Suppose -10*j + 27 = -3. Suppose 0*f = -3*i - 2*f + 20, -j*i + 23 = 5*f. Factor -m**5 - 5*m**2 - 3*m + 3*m**3 + i*m + m**4 - m.
-m*(m - 1)**3*(m + 2)
Let o(c) = 58*c - 34. Let r be o(-4). Let l = 269 + r. Suppose -l*b - 3/5*b**2 + 18/5 = 0. Calculate b.
-6, 1
Let k(y) = 6*y**2 + 106*y + 110. Let u(n) = -4*n**2 - 2*n - 3. Let b(w) = -k(w) - 2*u(w). Suppose b(t) = 0. What is t?
-1, 52
Let y(o) be the first derivative of -5*o**4/12 - 20*o**3 - 360*o**2 + 114*o - 144. Let z(s) be the first derivative of y(s). Factor z(h).
-5*(h + 12)**2
Factor 282*d - 4 - 295*d + 7 - 16*d**2.
-(d + 1)*(16*d - 3)
Let l be (-28)/224 + ((-12970)/(-7888))/5. Let t = -5/58 + l. Determine b, given that -2/17*b - 4/17 + t*b**2 = 0.
-1, 2
Let w(x) = -284*x**2 + 14*x + 28. Let a be w(-2).