) be the first derivative of -9*j**6/2 + 1554*j**5/5 + 32459*j**4/12 + 60388*j**3/9 + 3706*j**2 + 768*j + 4050. Determine n, given that l(n) = 0.
-3, -2/9, 64
Let d be (17/68)/((-3)/4)*-27. Factor -2 + 185*s**2 - 35*s + 12 + 210*s**3 - d - 11.
5*(s + 1)*(6*s + 1)*(7*s - 2)
Suppose -396 = -10*u - 336. Let c be u/((-20)/(-4) + 69/6). Determine w so that -6/11*w + c*w**2 + 2/11*w**3 + 0 = 0.
-3, 0, 1
Suppose -455 = 16*i - 62*i + 11*i. Let r(u) be the second derivative of 1/6*u**4 + 9*u**2 + i*u - 2*u**3 + 0. Solve r(x) = 0.
3
Factor -7896338/9 + 7948/9*u - 2/9*u**2.
-2*(u - 1987)**2/9
Let a(k) be the third derivative of -k**7/945 - k**6/45 - 19*k**5/270 + k**4/9 + 20*k**3/27 + 10*k**2 + 13*k - 3. Suppose a(o) = 0. What is o?
-10, -2, -1, 1
Let t = -637 + 641. Let y be (5/2)/(t + 1). Factor 1/2*o + 0 - y*o**2.
-o*(o - 1)/2
Let z(y) be the third derivative of -7*y + 7*y**2 - 225/14*y**3 - 15/28*y**4 + 0 - 1/140*y**5. Factor z(s).
-3*(s + 15)**2/7
Let m(v) be the second derivative of v**6/720 + 13*v**5/120 - 9*v**4/16 + v**3/3 + 5*v**2 + 181*v. Let d(b) be the second derivative of m(b). Factor d(l).
(l - 1)*(l + 27)/2
Let h(t) be the second derivative of -t**4/6 - 26*t**3 - 1521*t**2 + 2652*t. Let h(m) = 0. Calculate m.
-39
Determine q so that 35 - 71 - q**3 + 36 - 19*q**3 + 105*q**2 - 145*q**4 - 20*q**5 = 0.
-7, -1, 0, 3/4
Let b(d) be the third derivative of -d**6/120 - d**5/60 + 7*d**4/8 + 15*d**3/2 - 29*d**2 - 19. Factor b(h).
-(h - 5)*(h + 3)**2
Let c be ((-287)/(-224))/41*8. Solve 1/2 - 1/4*n**3 + c*n**4 - 3/4*n**2 + 1/4*n = 0 for n.
-1, 1, 2
Let n(j) be the third derivative of -j**7/168 - 367*j**6/96 + 123*j**5/16 + 1835*j**4/96 - 230*j**3/3 - 1706*j**2. Suppose n(u) = 0. What is u?
-368, -1, 1
Let p(a) = 2*a + 5*a - 9 - 5*a + 0*a. Let b be p(7). Solve 11*c + c**2 - b*c**2 - 8 + c = 0 for c.
1, 2
Let i(p) = 18076 - 1676*p + 707 + 332*p + 57*p**2. Let y(t) = -7*t**2 + 168*t - 2348. Let h(x) = -4*i(x) - 33*y(x). Suppose h(j) = 0. Calculate j.
28
Let a = 15955 + -15952. Let g(r) be the first derivative of -5/6*r**6 - 20*r**a - 31 + 0*r - 6*r**5 - 65/4*r**4 - 10*r**2. What is d in g(d) = 0?
-2, -1, 0
Let n = 65386 - 65384. Solve 52/7*a**n + 6/7*a**3 + 90/7*a - 36/7 = 0 for a.
-6, -3, 1/3
Let y be (18 - 185/10)/((-2)/8). Let s be (23/(-10) + y)/((-459)/83232). Find p, given that 64/5 - s*p**3 - 96*p + 992/5*p**2 + 98/5*p**5 - 252/5*p**4 = 0.
-2, 2/7, 2
Factor 0 - 58/5*m + 1/5*m**2.
m*(m - 58)/5
Let r(s) be the first derivative of -s**6/3 - 122*s**5/5 - 597*s**4 - 4284*s**3 + 22491*s**2 + 55566*s - 844. Factor r(q).
-2*(q - 3)*(q + 1)*(q + 21)**3
Let y = -1579 + 1318. Let w be -2 + y/(-27) + -3. Find b such that 2/3*b**3 + 0 - 4*b**2 - w*b = 0.
-1, 0, 7
Let w(b) = -b**3 + 2 - b**3 + 11*b + 24 - 23*b**2 + 3*b. Let t be w(-12). Determine o, given that 4*o + 5*o**2 + o**t - 5*o**2 - 5*o**2 = 0.
0, 1
Let f(k) be the first derivative of 72 + 30*k + 16*k**2 + 2/3*k**3. Determine v so that f(v) = 0.
-15, -1
Let w(d) be the first derivative of -23/22*d**2 + 184 - 1/33*d**3 - 42/11*d. Factor w(p).
-(p + 2)*(p + 21)/11
Let y(u) be the first derivative of u**4 - 1141*u**3/3 + 285*u**2/2 + 4420. Suppose y(q) = 0. Calculate q.
0, 1/4, 285
Let i = 1827 - 1694. Suppose 0 = -137*q + i*q. Factor q - 1/2*f - 7/4*f**2 + f**3.
f*(f - 2)*(4*f + 1)/4
Factor -659/3*b**2 + 1640/3*b + 22*b**3 + 25/3.
(b - 5)**2*(66*b + 1)/3
Suppose 24/17*n - 320/17 + 2/17*n**2 = 0. Calculate n.
-20, 8
Suppose 3*z + 5*o = 39, 3*o - 5*o - 52 = -4*z. Let i(k) be the third derivative of 5/3*k**3 - 1/12*k**5 - z*k**2 + 0 + 0*k - 5/24*k**4. Solve i(l) = 0.
-2, 1
Let k be 6/27*6*(-6)/(-4). Factor 68 - 15*c + 2*c**k + 29*c - 8 - 4*c**2.
-2*(c - 10)*(c + 3)
Factor -24/5*i + 0 + 6/5*i**3 + 0*i**2.
6*i*(i - 2)*(i + 2)/5
Let t be (4 + 176/24)/(1/(-18)). Let i be ((-4)/t)/(31/186). Factor i*m**2 - 12/17*m + 10/17.
2*(m - 5)*(m - 1)/17
Factor -12261*c + 30*c**4 - 12212*c - 12222*c - 15*c**3 + 5*c**5 + 36395*c - 260*c**2.
5*c*(c - 3)*(c + 2)**2*(c + 5)
Let o(b) be the first derivative of -36*b**5/5 + 421*b**4/2 + 2095*b**3/12 + 407*b**2/8 + 6*b - 3432. Solve o(l) = 0.
-1/4, -1/9, 24
Find g, given that -2767637*g**2 + 2*g**4 + 17379331*g**2 - 10104*g**3 + 1015803019*g - 8967573660*g + 4530334*g**2 - 8165816935*g + 5089128277122 = 0.
1263
Let n(m) be the second derivative of -m**6/75 + m**5/25 + m**4/2 - 1760*m. Factor n(l).
-2*l**2*(l - 5)*(l + 3)/5
Let g(a) = -15*a**3 - 16*a**2 + 9*a + 10. Let n(o) = 62*o**3 - 12*o - 63*o**3 + 13*o + 1 - o**2. Let v(u) = -2*g(u) + 18*n(u). Factor v(s).
2*(s + 1)*(2*s + 1)*(3*s - 1)
Solve -266/13*a - 3540/13 - 2/13*a**2 = 0.
-118, -15
Let c(g) be the second derivative of g**4/24 - 67*g**3/12 + 945*g. Let c(b) = 0. Calculate b.
0, 67
Factor 0 + 12*r**3 + 42/5*r**4 + 2/5*r**5 - 680*r**2 - 3600*r.
2*r*(r - 9)*(r + 10)**3/5
Let s = 1586 - 1583. Let n(a) be the first derivative of -14/9*a**s - 6*a - 1/6*a**4 - 5*a**2 - 8. What is q in n(q) = 0?
-3, -1
Factor -2/17*r**3 + 5476/17 - 3034/17*r + 152/17*r**2.
-2*(r - 37)**2*(r - 2)/17
Suppose 7*v - 116 - 52 = 0. Factor 3*t**4 + 36*t - 46*t**2 - 7*t**3 - v - t**3 + 40*t**2 - t**3.
3*(t - 2)**2*(t - 1)*(t + 2)
Suppose 3*v = -146 + 149. Let w be (-52)/12 - v/((-4)/24). Factor -5/3*c + w*c**2 + 5/3*c**3 - 5/3.
5*(c - 1)*(c + 1)**2/3
Let h(f) be the second derivative of -f**6/30 + 7*f**5/10 - 49*f**4/12 + 6*f**3 + 6895*f - 1. Solve h(m) = 0.
0, 1, 4, 9
Let w(r) be the second derivative of -r**5/300 - r**4/120 + 2*r**3/5 - 53*r**2/2 - 5*r - 2. Let t(f) be the first derivative of w(f). Let t(p) = 0. Calculate p.
-4, 3
Let c(l) be the first derivative of -2/3*l**6 - 164 - 68/3*l**3 + 0*l - 36*l**2 + 68/5*l**5 + 19*l**4. Suppose c(v) = 0. What is v?
-1, 0, 1, 18
Let t(f) be the second derivative of -16/39*f**3 - 35/78*f**4 - 2*f + 4/13*f**2 + 147/130*f**5 + 0. Let t(o) = 0. Calculate o.
-1/3, 2/7
Let p be (-10)/35 + (-188)/(-560). Let d(m) be the third derivative of 0 + 0*m - p*m**4 - 17*m**2 - 1/20*m**5 + 0*m**3. Factor d(b).
-3*b*(5*b + 2)/5
Let 33 + 64*f + 12*f**2 + 5 + 10 + 5*f**3 + f**3 - 10*f**3 = 0. What is f?
-2, -1, 6
Let d(k) be the second derivative of 1/200*k**5 + 1/5*k**3 + 0 - 207*k - 1/15*k**4 + 0*k**2. Factor d(z).
z*(z - 6)*(z - 2)/10
Determine p, given that 988 - 13 - p**2 + 13013*p - 2*p**2 - 13193*p = 0.
-65, 5
Let c(i) = -6*i**2 - 192*i + 3069. Let y be 2 - 1 - 84/(-21). Let j(z) = -9*z**2 - 384*z + 6139. Let o(m) = y*c(m) - 3*j(m). Factor o(q).
-3*(q - 32)**2
Find r, given that r**5 - 24*r**4 - 18152*r**3 - 131*r - 156 + 9169*r**3 + 180*r**2 + 9113*r**3 = 0.
-1, 1, 12, 13
Let x be 18/(-2 + -1) - (208/(-117) - 7). Suppose -166/9*m**2 + x*m**5 - 40/3*m**4 + 20/3*m - 8/9 + 209/9*m**3 = 0. Calculate m.
2/5, 1, 2
Let i(n) = n**2 + 35*n + 2. Let s be i(-35). Factor 32 - 64*d + 0*d**3 + 45*d**4 - 4*d**3 - 43*d**4 + 48*d**s - 12*d**3.
2*(d - 2)**4
Let u = 88 - 74. Let f(w) = -6*w**2 + 130*w - 864. Let y(r) = -2*r**2 + 43*r - 288. Let s(o) = u*y(o) - 5*f(o). Factor s(b).
2*(b - 12)**2
Let j(i) = i**2 + 10*i + 13. Let n be j(-9). Let o = 10 + -6. Factor -4*v**n - v**3 + 3*v**o + 4*v**2 + 5*v**3 - 4*v**5 - 3*v**4.
-4*v**2*(v - 1)*(v + 1)**2
Let w be (-976)/(-3172) - 4/13. Let k(m) be the first derivative of -5 + 1/24*m**6 - 1/4*m**4 + w*m**5 - 1/6*m**3 + 3/8*m**2 + 1/2*m. Factor k(l).
(l - 2)*(l - 1)*(l + 1)**3/4
Factor -189*p - 2241/4 - 3/4*p**2.
-3*(p + 3)*(p + 249)/4
Let n(l) be the first derivative of l**4/10 + 214*l**3/15 + 106*l**2/5 + 1120. Factor n(i).
2*i*(i + 1)*(i + 106)/5
Let v = 65 - 63. Let m(g) = g**2 - 5*g - 6. Let a be m(6). Factor 6 + a*o + 0*o - 10 + o**v.
(o - 2)*(o + 2)
Let f(r) be the first derivative of -8*r**2 + 0*r + 251 + 3/2*r**4 - 44/3*r**3 + 44/5*r**5 + 5/3*r**6. Find l such that f(l) = 0.
-4, -1, -2/5, 0, 1
Factor 1/3*j**3 + 118/3 - 118/3*j**2 - 1/3*j.
(j - 118)*(j - 1)*(j + 1)/3
Let 9/2*r + 0 + 21/2*r**2 + 15/2*r**3 + 3/2*r**4 = 0. Calculate r.
-3, -1, 0
Determine d, given that 44*d**2 + 9*d**3 + 123*d**5 + 4*d**4 + 24*d**3 + 6*d**4 - 65*d**5 - 57*d**5 + 20*d = 0.
-5, -2, -1, 0
Let p(x) be the third derivative of x**5/12 - 295*x**4/12 - 595*x**3/6 - 2809*x**2. Factor p(j).
5*(j - 119)*(j + 1)
Let m(a) be the second derivative of -2*a**5/35 + 55*a**4/21 - 250*a**3/21 + 3*a + 589. Factor m(c).
-4