05*d + 2*d**w - 2*d**2 - 4*d**2 - 1665*d - 32.
-4*(d - 2)*(d - 1)*(d + 4)
Let g(w) be the third derivative of 1/15*w**5 + 0 - 174*w**2 + 0*w - 37/6*w**4 + 24*w**3. Find a such that g(a) = 0.
1, 36
Suppose 4*l - 180 = -2*n, l = n - 0*l - 102. Let b be ((-6)/5)/((-37)/(11655/n)). Solve b*a + 3/7*a**2 + 24/7 = 0.
-8, -1
Suppose -54*b - 25 = -49*b. Let f be (768/56)/(-3) - b. Let f*u**3 - 9/7*u - 54/7 + 12/7*u**2 = 0. What is u?
-3, 2
Suppose 218 = 10*m - 232. Suppose 13*p - m = -6. Let -8/5 - 28*t**p - 48/5*t**4 - 144/5*t**2 - 12*t = 0. Calculate t.
-1, -2/3, -1/4
Let h(u) be the second derivative of -6724/21*u**3 - 1/210*u**5 + 551368/21*u**2 + 285*u + 0 + 41/21*u**4. What is t in h(t) = 0?
82
Let p = 88 + -120. Let f be (p/(-20))/((-3)/(-18)). Solve -f*g**2 - 2/5*g**4 + 64/5*g - 32/5 + 16/5*g**3 = 0.
2
Suppose -3 + 1836/5*f**3 - 461/5*f**2 - 208/5*f - 256/5*f**5 - 896/5*f**4 = 0. What is f?
-5, -1/8, 3/4, 1
Let k(m) be the second derivative of m**7/126 - m**6/90 - m**5/60 + m**4/36 - 2*m - 893. What is d in k(d) = 0?
-1, 0, 1
Let h(g) be the second derivative of -g**8/4200 + g**7/1050 - g**5/150 + g**4/60 - 42*g**3 + g + 70. Let d(t) be the second derivative of h(t). Factor d(k).
-2*(k - 1)**3*(k + 1)/5
Let x = 52/405 - -272/405. Suppose 0*i**2 + 0 + 0*i - 2/5*i**5 - 2/5*i**3 - x*i**4 = 0. What is i?
-1, 0
Let p(a) be the second derivative of 7/48*a**4 + a + 5/8*a**2 - 11/24*a**3 + 21 - 1/80*a**5. Factor p(c).
-(c - 5)*(c - 1)**2/4
Let s be (6 + 962/(-156))/(3*(-4)/192). Factor 2/9*g**4 + 8/9*g**2 - 14/9*g**3 + s*g + 0.
2*g*(g - 6)*(g - 2)*(g + 1)/9
Let r(o) be the third derivative of -1/36*o**6 + 3*o + 1/315*o**7 + 5/36*o**4 + 0 - 4*o**2 + 0*o**3 - 1/90*o**5. Factor r(n).
2*n*(n - 5)*(n - 1)*(n + 1)/3
Let x(q) be the second derivative of 3*q**5/50 + 1177*q**4/90 - 262*q**3/45 + 10*q - 129. Determine w so that x(w) = 0.
-131, 0, 2/9
Suppose -421 = -4*z + s + 2*s, -2 = -2*s. Let h = 118 - z. Factor -4*n**5 - h*n + 16*n**3 + n**2 + 5 + 7*n**2 - 13.
-4*(n - 2)*(n - 1)*(n + 1)**3
Suppose 11*m - 55 = 22*m. Let w(f) = -f**3 + 4*f**2 + f - 10. Let a(u) = 2*u**3 - 8*u**2 - 3*u + 22. Let j(k) = m*w(k) - 2*a(k). Factor j(p).
(p - 3)*(p - 2)*(p + 1)
Let h be (-1164)/(-970) + 220/(-225). Suppose -h*u**3 + 2/9 - 2/3*u + 2/3*u**2 = 0. Calculate u.
1
Let c(u) be the first derivative of u**4/38 + 2750*u**3/19 + 5671875*u**2/19 + 5199218750*u/19 - 2327. Factor c(z).
2*(z + 1375)**3/19
Let q(k) = -9*k**4 + 93*k**3 + 195*k**2 + 93*k. Let y(a) = 29*a**4 - 278*a**3 - 586*a**2 - 279*a. Let d(v) = -19*q(v) - 6*y(v). Let d(c) = 0. What is c?
-31, -1, 0
Suppose -66*p + 51*p + 15 = 0. Let c(d) = 104*d - 102. Let l be c(p). Solve -l*b**2 + 8/3 + 5/3*b**3 - 1/3*b**4 - 4/3*b = 0 for b.
-1, 2
Let i(s) be the first derivative of -2*s**6/15 + 64*s**5/25 - 63*s**4/5 - 64*s**3/15 + 128*s**2/5 + 378. Suppose i(w) = 0. What is w?
-1, 0, 1, 8
Let b(i) be the second derivative of i**4/18 + 280*i**3/3 + 58800*i**2 - 289*i. Factor b(j).
2*(j + 420)**2/3
Let r(y) be the first derivative of 60*y**2 + 23 + 48*y - 23*y**3 + 9/4*y**4. Factor r(o).
3*(o - 4)**2*(3*o + 1)
Let u(b) = b**2 - 2*b. Let h(g) = 5*g**3 - 25*g**2 - 65*g - 125. Let t(r) = -h(r) - 30*u(r). Factor t(v).
-5*(v - 5)*(v + 1)*(v + 5)
Let t(d) be the second derivative of d**6/15 - 7*d**5/5 + 11*d**4/2 + 4*d**3/3 - 44*d**2 + 1093*d. Determine s so that t(s) = 0.
-1, 2, 11
Let v(r) be the third derivative of r**7/840 + 11*r**6/30 - 3*r**5/2 - 22*r**4/3 + 178*r**3/3 - 2*r**2 - 1682*r. Factor v(q).
(q - 2)**2*(q + 2)*(q + 178)/4
Let d = 6 - 71. Let n = d + 67. Factor 0 + 6/7*r + 3*r**n + 9/7*r**3.
3*r*(r + 2)*(3*r + 1)/7
Let m(r) be the second derivative of r**6/105 + 134*r**5/35 + 533*r**4/42 + 38*r**3/3 - 2*r + 327. Factor m(d).
2*d*(d + 1)**2*(d + 266)/7
Find l, given that -257547/8*l - 25153757/8 - 879/8*l**2 - 1/8*l**3 = 0.
-293
Let z(w) be the first derivative of -3/5*w**5 + 46 + 0*w + 0*w**2 + 21/2*w**4 - 49*w**3. Factor z(b).
-3*b**2*(b - 7)**2
Solve -4298/5*i**2 - 1355*i - 311/5*i**3 + 250 - 6/5*i**4 = 0 for i.
-25, -2, 1/6
Let b(l) be the second derivative of -l**6/120 - 11*l**5/80 - 3*l**4/16 + 11*l**3/24 + 5*l**2/4 - 3297*l. Factor b(a).
-(a - 1)*(a + 1)**2*(a + 10)/4
Let k be 197/(-60) + 130/30. Let x(g) be the third derivative of 1/300*g**6 - 6*g**2 + 1/10*g**5 + k*g**4 + 0 + 49/15*g**3 + 0*g. Factor x(j).
2*(j + 1)*(j + 7)**2/5
Let r = -7510 - -7510. Let v(l) be the third derivative of -25/24*l**4 - 5/3*l**3 + r - 1/3*l**5 - 1/24*l**6 + 0*l + 17*l**2. Find b such that v(b) = 0.
-2, -1
Let o = 423 + -383. Let c be (o/180)/(26/(-30) + 1). Suppose -5/3 + 0*j + c*j**2 = 0. What is j?
-1, 1
Solve -14*x**3 + 2816*x + 60*x**2 + 46*x**3 + 44*x**2 + 2*x**4 - 2720*x = 0 for x.
-12, -2, 0
Solve -102 - 3/4*c**3 - 39/2*c + 57/4*c**2 = 0 for c.
-2, 4, 17
Let b(k) be the third derivative of -k**8/224 + 3*k**7/35 + 3*k**6/80 - 19*k**5/20 + 3*k**4/2 - 13*k**2 - 49. Let b(a) = 0. What is a?
-2, 0, 1, 12
Let u = -46 + 88. Let y be (-12)/u - (-48)/21. Find x such that 7*x**2 - 5*x**3 - x**2 + 15*x - 16*x**y = 0.
-3, 0, 1
Let k = 2866/6049 - 56/263. Factor 58/23*n**3 - 130/23*n**2 - k*n**4 - 50/23*n + 0.
-2*n*(n - 5)**2*(3*n + 1)/23
Let d(f) be the third derivative of -f**5/40 - 1209*f**4/64 - 151*f**3/8 + 41*f**2 - 7*f. Factor d(o).
-3*(o + 302)*(4*o + 1)/8
Let n(q) be the second derivative of 2*q**6/75 + q**5 - 116*q**4/15 - 1817*q. Find g such that n(g) = 0.
-29, 0, 4
Suppose -5*t = 8 + 2. Let j be ((-18)/30)/(t/10). Suppose -3*q - 9 - j*q - q**2 + 4*q**2 = 0. What is q?
-1, 3
Let f(l) be the first derivative of -5*l**3 - 6*l**2 + 3*l + 695. Determine p so that f(p) = 0.
-1, 1/5
Suppose -3080*u + 1368 + 4792 = 0. Solve 89/3*m**3 + 9 + 87/2*m**u + 63/2*m + 10*m**4 + 4/3*m**5 = 0.
-2, -3/2, -1
Let w(a) = -a**2 + 67*a - 467. Let x be 5216/489*(-6)/(-8). Let f be w(x). Factor -4/5*k**4 + 0 + 0*k**2 + 0*k + 2/5*k**f + 2/5*k**3.
2*k**3*(k - 1)**2/5
Let r = -3069 + 3075. Let h(y) be the second derivative of 2/45*y**r - 13*y - 1/15*y**5 + 0*y**3 + 2/63*y**7 + 0*y**2 - 1/9*y**4 + 0. Factor h(k).
4*k**2*(k - 1)*(k + 1)**2/3
Determine t, given that 0*t + 3*t - 746*t**3 + 742*t**3 - 13*t + 32*t**2 - 18*t = 0.
0, 1, 7
Let c(j) be the second derivative of 6/7*j**2 - 19/21*j**3 + 82*j - 11/42*j**4 + 0. Factor c(x).
-2*(x + 2)*(11*x - 3)/7
Factor 9/8*j + 3/2 - 3/8*j**2.
-3*(j - 4)*(j + 1)/8
Let y(j) = 5*j + 3*j**3 - 7*j + j - 7*j**3 - 3*j**2 + 2. Let d be y(-2). Factor 4*u**5 + u + 16*u**3 - 4*u**4 - d*u**3 - u.
4*u**3*(u - 2)*(u + 1)
Let o(h) = 3*h**4 + 29*h**3 + 40*h**2 + 33*h - 5. Let b(d) = 3*d**4 + 28*d**3 + 44*d**2 + 36*d - 4. Let w(a) = 5*b(a) - 4*o(a). Factor w(q).
3*q*(q + 2)**2*(q + 4)
Let y = -46547/3120 + 194/13. Let p(k) be the third derivative of -1/12*k**3 + 0*k - y*k**5 + 1/32*k**4 + 0 - 11*k**2. Factor p(i).
-(i - 2)*(i - 1)/4
Suppose -6/7*f**3 - 76/7*f - 118/7*f**2 + 0 = 0. Calculate f.
-19, -2/3, 0
Suppose -12 = -z + 5*q - 32, -q + 4 = 0. Determine d so that -4*d**3 - 26*d**2 - 15 + 39 - 44*d - d**3 + z*d**3 - 12*d**2 = 0.
-6, -2, 2/5
Let g be ((-4)/8)/((-2)/1)*8. Suppose 11*s**4 + 0*s**4 - 12*s + 0*s**5 + 14*s**3 - s**4 - g*s**5 - 10*s**2 = 0. What is s?
-1, 0, 1, 6
Suppose -2*z + 1 = -j - 7, 5*j - 5 = z. Suppose z*v - 31 = 14. Solve 14*k**2 + 17*k**3 + 16*k**2 + k**4 + 10*k**3 - 13*k**4 - v*k = 0.
-1, 0, 1/4, 3
Let h = -1180235/4 + 295061. Find u such that 3/2 + h*u - 3/4*u**2 - 9/4*u**3 - 3/4*u**4 = 0.
-2, -1, 1
Let j be (27/12)/(1/24). Let n be 4*5/40*71*2. Factor 91 + 14*x - j*x - n - 25*x**2.
-5*(x + 2)*(5*x - 2)
Factor 3/8*j**3 + 5017*j + 695/8*j**2 - 1682.
(j + 116)**2*(3*j - 1)/8
Let n(u) be the first derivative of -4*u**3/3 - 104*u**2 - 768*u - 22. Find c, given that n(c) = 0.
-48, -4
Let x(p) be the third derivative of p**8/1680 + 3*p**7/350 - p**6/600 - 3*p**5/100 - p**2 + 209. Factor x(y).
y**2*(y - 1)*(y + 1)*(y + 9)/5
Let r(x) be the second derivative of x**5/70 - 8*x**4/3 + 220*x**3/21 - 170*x - 8. Factor r(y).
2*y*(y - 110)*(y - 2)/7
Let i(x) be the third derivative of -x**7/1365 + x**6/39 - 11*x**5/195 - 5*x**4 - 39*x**3 - 158*x**2 - 3*x. Factor i(p).
-2*(p - 13)**2*(p + 3)**2/13
Let g(n) be the first derivative of -2/5*n**5 + 14/3*n**3 - 100 + 0*n**2 + 3*n**4 + 0*n. Factor g(k).
-2*k**2*(k - 7)*(k + 1)
