ivative of x**8/6720 + x**7/35 + 12*x**6/5 - 41*x**5/60 - x**2 - 26. Let k(a) be the third derivative of u(a). Let k(g) = 0. What is g?
-24
Determine f so that 51/2 + 53/2*f**2 - 1/2*f**3 - 103/2*f = 0.
1, 51
Let x(q) be the first derivative of 2*q**7/105 + q**6/5 + q**5/5 - 5*q**4/3 - q**2 - 13*q + 221. Let h(b) be the second derivative of x(b). Factor h(i).
4*i*(i - 1)*(i + 2)*(i + 5)
Let t be 0/(1 + 3 + -2). Let c = 1686515 + -11805599/7. Factor c*h + 16/7*h**2 + t - 6/7*h**3.
-2*h*(h - 3)*(3*h + 1)/7
Suppose 4*n = 295 - 235. Let p be (2/n)/(3 + 53/(-18)). Solve -p*x + 16/5 - 4/5*x**2 = 0.
-4, 1
Let a(g) be the first derivative of 1/2*g**3 + 1/8*g**4 - 63 + 0*g - g**2. Find d, given that a(d) = 0.
-4, 0, 1
Let g(w) be the first derivative of 4*w**3/3 - 505*w**2 - 506*w + 173. Solve g(c) = 0.
-1/2, 253
Suppose -2*d + 25 = 22*o - 25*o, 0 = 4*d - 4*o - 40. Factor -d*g**2 + 50/3*g + 0 - 5/3*g**3.
-5*g*(g - 2)*(g + 5)/3
Let r(a) = -11*a**5 + 10*a**4 + a**3 - 6*a. Let d = -225 + 260. Let v(p) = 65*p**5 - 60*p**4 - 5*p**3 + 35*p. Let o(s) = d*r(s) + 6*v(s). Factor o(t).
5*t**3*(t - 1)**2
Let v(d) be the first derivative of 0*d - 182 + 0*d**2 - 2/35*d**5 - 1/14*d**4 + 4/21*d**3. Determine w, given that v(w) = 0.
-2, 0, 1
Suppose -3*i + 312 = 240. Factor 493*c**4 + 5*c**3 + 6*c**2 + 10*c**3 - 490*c**4 - i*c.
3*c*(c - 1)*(c + 2)*(c + 4)
Let n(j) be the second derivative of 0 - 1/6*j**4 - 3*j**2 + 62*j + 4/3*j**3. Factor n(v).
-2*(v - 3)*(v - 1)
Let r(o) be the third derivative of o**6/90 - o**5/30 + 73*o**3/6 - 10*o**2 - 2*o. Let j(v) be the first derivative of r(v). Factor j(s).
4*s*(s - 1)
Let z = -1 + 3. Let w = 1539/3068 - 5/3068. Factor -1/4*u**z - w*u - 1/4.
-(u + 1)**2/4
Let f(w) be the third derivative of 43/6*w**4 + 0*w**3 - 57/5*w**5 + 0*w + 1 - 7*w**2 - 2/15*w**6. Suppose f(k) = 0. Calculate k.
-43, 0, 1/4
Factor 148*l**2 + 150*l - 2/3*l**3 - 892/3.
-2*(l - 223)*(l - 1)*(l + 2)/3
Let u(p) be the third derivative of 0*p - 1323/10*p**3 + 21/20*p**4 + 0 + 180*p**2 - 1/300*p**5. Solve u(m) = 0.
63
Let f be 4 + 1 + 0/(1 + -2). Factor -38*j - 15 + 5*j**3 + 30*j - f*j**2 - 17*j.
5*(j - 3)*(j + 1)**2
Let v(w) be the third derivative of 0 - 1/9*w**4 + 11/27*w**3 - 70*w**2 + 0*w + 1/270*w**5. Factor v(i).
2*(i - 11)*(i - 1)/9
Let t(z) be the first derivative of -4*z**6 - 412*z**5/5 - 395*z**4 + 564*z**3 + 162*z**2 + 832. Suppose t(o) = 0. Calculate o.
-9, -1/6, 0, 1
Let d = 424353/5 - 84870. Factor 1/5*i**2 - d*i - 4/5.
(i - 4)*(i + 1)/5
Let c(m) = -126*m + 6. Let p be c(-4). Suppose -8*n + p = -3*n. Factor 15*j**2 + 15*j + j**3 + n + 4*j**3 - 97.
5*(j + 1)**3
Let o(h) = -h**2 - 8*h. Let v = -49 + 51. Let b(k) = 2*k**v + 314 - 314 + 15*k. Let u(c) = 6*b(c) + 11*o(c). Factor u(y).
y*(y + 2)
What is n in 4/3*n**5 + 2816/3 - 1312/3*n**3 + 48*n**4 + 4096/3*n**2 - 1856*n = 0?
-44, 2
Let p(j) = -75*j**3 - 88*j**2 - 20*j - 21. Let n(k) = k**4 - 73*k**3 - 88*k**2 - 20*k - 18. Let b(g) = -7*n(g) + 6*p(g). Factor b(z).
-z*(z - 10)*(z + 1)*(7*z + 2)
Find c, given that 3*c + 86*c - 72*c**2 - 380*c**3 + 381*c**3 + 51*c = 0.
0, 2, 70
Suppose 11*x - 7*x = -3*i + 28, -4*i = 0. Let l be (192/(-56) + 8)/(3/x). Let -112/3*o - 98/3*o**2 - l = 0. Calculate o.
-4/7
Let q(n) be the first derivative of 0*n - 8 - 1/24*n**4 + 0*n**3 + 1/60*n**5 + 3/2*n**2. Let k(m) be the second derivative of q(m). Find t, given that k(t) = 0.
0, 1
Let o(b) be the third derivative of -b**6/1440 + 7*b**5/240 - 44*b**3/3 - 82*b**2. Let h(c) be the first derivative of o(c). Factor h(m).
-m*(m - 14)/4
Let r(k) = -k**3 + 7*k**2 + k - 33. Let x be r(6). Determine t so that t**4 - 3*t**2 - x + 6*t**3 - 3*t**2 - 2*t**2 - 18*t - 4*t**3 = 0.
-3, -1, 3
Determine w, given that -10032*w**2 - 3178007*w + 12600200 + 6*w**3 - 3102013*w - 10*w**3 = 0.
-1255, 2
Suppose 8*r = 7*r. Suppose q + r*q - 5 = 0. Determine b so that -24*b - 12 + 19*b**3 + 2*b**3 - 3*b**2 + 15*b**4 + 3*b**q + 0*b**5 = 0.
-2, -1, 1
Let x(m) be the second derivative of m**7/336 - m**6/24 + 19*m**5/80 - 17*m**4/24 + 19*m**3/16 - 9*m**2/8 + 82*m + 4. Find i such that x(i) = 0.
1, 2, 3
Let j(x) be the first derivative of -3*x**5/80 + 45*x**4/8 - 675*x**3/2 + 10125*x**2 + 79*x - 29. Let s(y) be the first derivative of j(y). Factor s(f).
-3*(f - 30)**3/4
Suppose 7*d = -22 + 8. Let a(k) = -k**3 - 11*k**2 - 20*k - 10. Let w(v) = -2*v**3 - 23*v**2 - 40*v - 19. Let j(x) = d*w(x) + 5*a(x). Let j(p) = 0. Calculate p.
-6, -2, -1
Let k(o) be the first derivative of 146 + 2*o**3 - o**4 - 2/5*o**5 + 0*o**2 + 0*o. Let k(t) = 0. What is t?
-3, 0, 1
Solve 237*t + 103*t + 124 - 15*t**3 + 1229*t**2 - 1125*t**2 + 108 + 11*t**3 = 0 for t.
-2, -1, 29
Let x be 7 + (-55)/15 - (45/27 - 1). Let b(p) be the second derivative of -4*p**2 + 4*p + 0 - 1/6*p**4 - 1/21*p**7 - x*p**3 + 1/15*p**6 + 1/2*p**5. Factor b(d).
-2*(d - 2)**2*(d + 1)**3
Let v(j) = -j**2 + 9*j - 9. Let z be v(7). Factor -z*c - 2*c - 4*c + 0 - 2*c**2 - c - 10.
-2*(c + 1)*(c + 5)
Let k = 39416/3 - 13022. Let w = k + -1397/12. Suppose 0*z + 0 - 1/4*z**4 + 1/2*z**3 - w*z**2 = 0. What is z?
0, 1
Let w(b) be the first derivative of -b**3/2 - 1023*b**2/4 - 510*b + 938. Factor w(i).
-3*(i + 1)*(i + 340)/2
Let x(b) = -3*b**5 - 53*b**4 - 277*b**3 - 526*b**2 - 295*b. Let h(t) = 2*t**4 - 2*t**3 + t**2 + t. Let u(g) = -h(g) - x(g). Solve u(z) = 0 for z.
-7, -2, -1, 0
Let f be (-14)/(-35) + (-22)/5. Let w be ((-3)/f)/(12/912). Factor -t**3 - 57*t**2 - t**4 + w*t**2.
-t**3*(t + 1)
Let o(f) be the first derivative of 46 + 0*f**3 + 0*f**2 - 3/4*f**4 - 9/8*f**6 + 39/20*f**5 + 0*f. Factor o(v).
-3*v**3*(v - 1)*(9*v - 4)/4
Let i(g) = -g**2 - 230*g + 1696. Let f(j) = -76*j + 570. Let b(r) = -14*f(r) + 4*i(r). Factor b(z).
-4*(z - 23)*(z - 13)
Let w = 343172 + -343168. Suppose -722/7 - 2/7*l**w + 1368/7*l - 572/7*l**2 - 72/7*l**3 = 0. What is l?
-19, 1
Let j = -27 - -37. Suppose -5*a - 3*f = 2, 3*a + j = -4*f - 0*f. Find u such that 18*u**2 + 2*u - 13*u**a - 7*u = 0.
0, 1
Let h(y) be the third derivative of -y**8/336 + y**6/30 - y**5/30 - y**4/8 + y**3/3 + 188*y**2 + 5. Factor h(v).
-(v - 1)**3*(v + 1)*(v + 2)
Let y(q) be the second derivative of q**9/25200 - q**7/4200 - 37*q**4/6 - 63*q. Let b(s) be the third derivative of y(s). Factor b(t).
3*t**2*(t - 1)*(t + 1)/5
Let h = 1/1347 + 1795/1347. Let p(m) be the first derivative of -16*m**2 - 36*m + h*m**3 - 26. Factor p(x).
4*(x - 9)*(x + 1)
Let n(q) be the second derivative of -5 - 1/15*q**4 - q - 1/50*q**5 + 8/5*q**2 + 4/15*q**3. Factor n(i).
-2*(i - 2)*(i + 2)**2/5
Let n be 36/30 + -3 + (25 - 0). Factor -n*s + 2/5*s**2 + 1682/5.
2*(s - 29)**2/5
Let a = -69 - -66. Let n be 4 + -1 + a + 4. Factor -20*i**3 + 5*i**2 - 2*i + 12*i - 30*i**4 - 7*i**n + 22*i**4.
-5*i*(i + 1)**2*(3*i - 2)
Let h = 128 + -88. Solve -336*l + 210*l**2 - 870*l**4 + 65*l**3 + h + 815*l**4 + 76*l = 0 for l.
-2, 2/11, 1, 2
Let d(p) be the third derivative of p**5/120 - 41*p**4/96 + 15*p**3/4 - 683*p**2. Factor d(k).
(k - 18)*(2*k - 5)/4
Let k(d) be the third derivative of -d**7/735 + 23*d**6/210 - 16*d**5/7 - 96*d**4/7 + 82*d**2. Factor k(i).
-2*i*(i - 24)**2*(i + 2)/7
Let y be (-8)/18 - ((-60)/(-630))/((-9)/42). Let t(j) be the first derivative of 1/12*j**3 - 1/8*j**2 - 27 + y*j. Suppose t(b) = 0. Calculate b.
0, 1
Let s(g) be the third derivative of g**5/540 + 7*g**4/108 - 49*g**3/18 + 154*g**2 + 18. Let s(v) = 0. Calculate v.
-21, 7
Factor 4/7*z**2 + 0 - 2164/7*z.
4*z*(z - 541)/7
Let d(v) be the second derivative of -v**7/4 - 481*v**6/120 + 307*v**5/80 + 91*v**4/12 - 25*v**3/6 - 6*v**2 - 2133*v. Solve d(h) = 0 for h.
-12, -2/3, -2/7, 1/2, 1
Let t be 9 - ((-595)/(-68))/((-55)/(-44)). Find f, given that -63/4*f + 3/4*f**t + 0 = 0.
0, 21
Let l(t) be the second derivative of -t**6/33 + 123*t**5/110 - 219*t**4/22 - 1339*t**3/33 + 1014*t**2/11 - 5*t - 103. Find h, given that l(h) = 0.
-2, 3/5, 13
Let r(z) be the first derivative of -3*z**4/4 - 196*z**3 - 1155*z**2/2 + 1746*z - 3303. Let r(w) = 0. Calculate w.
-194, -3, 1
Let l(j) be the first derivative of -j**5/10 - 5*j**4/8 + j**3/2 + 17*j**2/4 + 5*j - 456. Factor l(v).
-(v - 2)*(v + 1)**2*(v + 5)/2
Let n(g) be the first derivative of 21/5*g**5 + 1/2*g**6 + 27/2*g**4 + 22*g**3 + 39/2*g**2 + 29 + 9*g. Factor n(m).
3*(m + 1)**4*(m + 3)
Let d(q) = -1