i(b). Factor n(c).
-2*(c - 1)*(c + 1)*(c + 30)/11
Find g such that 9567*g + 6*g**2 - 9834*g - 3*g**2 = 0.
0, 89
Let l(h) be the first derivative of h**5 + 20*h**4 + 260*h**3/3 + 120*h**2 + 1348. Factor l(v).
5*v*(v + 2)**2*(v + 12)
Suppose -14/9*r**4 - 8/9*r**2 - 1/3*r**5 - 20/9*r**3 + 0*r + 0 = 0. What is r?
-2, -2/3, 0
Let m(p) be the first derivative of p**6/33 + 6*p**5/55 - 7*p**4/11 - 8*p**3/11 + 40*p**2/11 - 1126. What is g in m(g) = 0?
-5, -2, 0, 2
Let o(j) be the third derivative of j**5/30 + 91*j**4/4 - 274*j**3/3 + 6628*j**2. Suppose o(u) = 0. Calculate u.
-274, 1
Let p(v) be the third derivative of -8/51*v**3 + 0 - 27*v**2 - 1/510*v**5 + 1/34*v**4 + 0*v. Determine h, given that p(h) = 0.
2, 4
Let o(r) be the third derivative of -4/3*r**3 + 1/300*r**5 - 3/20*r**4 + 0 + 0*r + 108*r**2. Factor o(h).
(h - 20)*(h + 2)/5
Let m(s) be the first derivative of s**3/7 - 15*s**2 - 1872*s/7 + 2182. Find z such that m(z) = 0.
-8, 78
Let b(o) be the first derivative of -2*o**3/21 - 93*o**2/7 - 184*o/7 + 2967. Factor b(j).
-2*(j + 1)*(j + 92)/7
Let a(w) be the third derivative of -w**8/672 + 13*w**7/105 - 119*w**6/30 + 784*w**5/15 + 343*w**4/3 - 38416*w**3/3 - 4*w**2 + 6. Solve a(j) = 0.
-4, 14
Let h(m) be the first derivative of -5*m**6/8 + 33*m**5/10 + 3*m**4/16 - 45*m**3/2 + 27*m**2 + 4747. Let h(t) = 0. Calculate t.
-2, 0, 1, 12/5, 3
Let h(c) be the third derivative of 2*c**7/105 + 4*c**6/5 + 113*c**5/15 + 15*c**4 + 89*c**2 + 3. Factor h(u).
4*u*(u + 1)*(u + 5)*(u + 18)
Let z = -8/1031 - -4180/7217. Let w(b) be the first derivative of 0*b**3 + 3/7*b**2 - z*b - 3 - 1/14*b**4. Solve w(q) = 0.
-2, 1
Let s(j) = -2*j**2 - 12*j - 13. Let h be s(-4). Factor -22*d**h - 11*d**2 + 4*d - d**2 - 12*d + 18*d**3.
-4*d*(d + 1)*(d + 2)
Let k(h) be the first derivative of -h**7/147 + 3*h**5/35 - 4*h**4/21 + h**3/7 - 127*h + 92. Let n(t) be the first derivative of k(t). Factor n(m).
-2*m*(m - 1)**3*(m + 3)/7
Let p(l) = 10*l + 78. Let n be p(-7). Find m such that -8*m**2 - 6*m**3 - 6*m**5 - m**5 + n*m + 7*m**4 + 5*m**5 + m**4 = 0.
-1, 0, 1, 2
Let r = -8429 + 33717/4. Let q = 2/173 + 169/346. Find y, given that r*y**2 - 3/4 - q*y = 0.
-1, 3
Find s, given that 59/5*s + 44/5 + 1/5*s**3 + 16/5*s**2 = 0.
-11, -4, -1
Let s be (-27 - (-1608)/60) + (-204)/20 - -11. What is g in 9/5*g**3 - 6/5 + 3/5*g**2 - 9/5*g + s*g**4 = 0?
-2, -1, 1
Determine o, given that -294119*o + 104040 - 35*o**3 - 48611*o + 8589*o + 7150*o**2 - 32039*o = 0.
2/7, 102
Suppose 0 = -5*u + 6*x - 5*x + 15, 6 = 2*u + 5*x. Factor -11*n**2 + 15*n + 4*n**2 + 6 + 12 - 32*n**2 - n**3 + 7*n**u.
3*(n - 6)*(n - 1)*(2*n + 1)
Suppose -q = -3*q + x + 5, q + 2 = -4*x. Factor 4*r**4 + 5*r**3 - 10*r**4 - q*r - 1117*r**2 + 1120*r**2 + 0*r.
-r*(r - 1)*(2*r - 1)*(3*r + 2)
Let w = -65 + 67. Let i = w - -5. Factor -23*c**5 + 25*c**5 - 32*c - 16*c**4 + 23*c**2 - i*c**2 + 30*c**3.
2*c*(c - 4)**2*(c - 1)*(c + 1)
Suppose 64*w + 300*w**3 + 2692*w**2 + 173*w - 309*w = 0. Calculate w.
-9, 0, 2/75
Let k be ((-1310)/3537)/(2/(-9)). Suppose -k*w**3 - 23/3*w**2 - 19/3*w + w**4 - 4/3 = 0. What is w?
-1, -1/3, 4
Factor -3*i**3 + 13*i + 7 + 28 - 19 + 23*i + 32.
-3*(i - 4)*(i + 2)**2
Suppose r + 37*z - 35*z - 2 = 0, -z + 34 = -5*r. Let d be 25/10 - (2 - (-9)/r). Suppose -2/5*o**d + 4/5*o + 2/5*o**4 + 2/5*o**5 - 6/5*o**3 + 0 = 0. Calculate o.
-2, -1, 0, 1
Factor 0*j + 0 + 0*j**2 - 2/5*j**3 + 9/5*j**4 - 4/5*j**5.
-j**3*(j - 2)*(4*j - 1)/5
Let h = 1411394 + -1411389. Determine x, given that 0*x**2 + 5/3*x**4 + 0*x - 1/6*x**h + 0 - 25/6*x**3 = 0.
0, 5
Let i = 4585/13683 - 8/4561. Factor 1/6*h**3 - 2/3 - i*h**2 - 7/6*h.
(h - 4)*(h + 1)**2/6
Let n(t) be the first derivative of -10*t**5/3 + 100*t**4/3 + 1018*t**3/9 - 24*t**2 - 120*t - 1162. Determine i so that n(i) = 0.
-2, -3/5, 3/5, 10
Find y, given that 2/11*y**4 - 38*y**3 + 420/11 + 38*y - 422/11*y**2 = 0.
-1, 1, 210
Factor -68/3*q + 68/3*q**3 + 70/3*q**2 - 1/3*q**4 - 23.
-(q - 69)*(q - 1)*(q + 1)**2/3
Let x(z) be the second derivative of -7*z**4/6 - 5*z**3 + 12*z**2 + z - 25. Let l(g) = -g**2 - g. Let b(s) = -10*l(s) + x(s). Factor b(a).
-4*(a - 1)*(a + 6)
Determine z so that 49899/5*z**3 + 93702/5*z**2 + 3/5*z**5 - 199644/5*z - 387096/5 + 768/5*z**4 = 0.
-127, -2, 2
Let s(j) be the first derivative of j**4/12 - 7*j**3/2 - 51*j + 94. Let q(i) be the first derivative of s(i). Solve q(h) = 0 for h.
0, 21
Let k(j) be the second derivative of -j**7/420 - j**6/100 + j**4/30 + 2841*j. Factor k(b).
-b**2*(b - 1)*(b + 2)**2/10
Let u be 1015/(-58)*(-12)/10. Factor 2*r**4 + 4*r**4 - 5*r**4 + 6*r**3 - 19*r + u*r**2 + 13*r**3 - 22*r**2.
r*(r - 1)*(r + 1)*(r + 19)
Let j(v) = 76*v**3 + 416*v**2 - 157*v - 11. Let i(z) = -70*z**3 - 416*z**2 + 158*z + 10. Let q(f) = -11*i(f) - 10*j(f). Let q(s) = 0. What is s?
-42, 0, 2/5
Let -4348/11*b + 1454/11*b**2 - 2/11*b**3 + 2896/11 = 0. Calculate b.
1, 2, 724
Factor 0 - 108/11*q**2 + 2/11*q**4 + 0*q - 50/11*q**3.
2*q**2*(q - 27)*(q + 2)/11
Let g(m) = m**3 - 797*m**2 + 509*m + 269. Let z(a) = 797*a**2 - 499*a - 271. Let o(p) = 3*g(p) + 2*z(p). Determine k so that o(k) = 0.
-1/3, 1, 265
Find n, given that 272*n - 591*n**3 + 639*n**3 + 101*n**4 - 204*n**2 - 114 - 103*n**4 = 0.
1, 3, 19
What is i in -i**5 + 161*i**2 - 25*i**4 - 70*i**4 + i**3 - 66*i**2 = 0?
-95, -1, 0, 1
Let q(p) be the first derivative of p**4/2 + 100*p**3 - 303*p**2 + 304*p + 924. Factor q(n).
2*(n - 1)**2*(n + 152)
Let q(z) = -20*z + 31. Let r be q(2). Let d be 3 + (-7 - 63/r). Factor -x**d + 1/5*x + 2/5*x**4 - 1/5 + 3/5*x**2.
(x - 1)**3*(2*x + 1)/5
Find v, given that 151*v + 2297*v - 22792*v**2 + 22789*v**2 - 499392 = 0.
408
Let b(j) = -52*j**5 - 36*j**4 + 184*j**3 - 130*j**2 - 750*j + 1042. Let v(a) = 3*a**5 + a**2 - a - 1. Let k(n) = -b(n) - 18*v(n). Solve k(t) = 0.
-2, 2, 8
Let x(b) be the second derivative of -1/18*b**4 - 32/3*b**3 + 12*b + 2 - 768*b**2. What is l in x(l) = 0?
-48
Factor 55*u**2 + 14*u**4 + 740*u**2 - 529*u + 143*u**2 + 388*u**3 + 831*u - 602*u.
2*u*(u + 3)*(u + 25)*(7*u - 2)
Suppose -5*g - 5*w + 15 = 0, -g + 345*w - 341*w - 12 = 0. Let d be (-1)/(-2) - 2/(-12). Factor d*h**2 - 4*h + g.
2*h*(h - 6)/3
Factor -111*q**3 - 231*q**2 + 812*q**4 + 830*q**4 - 1639*q**4 - 117*q.
3*q*(q - 39)*(q + 1)**2
Let z = 160 + -128. Factor 151*s**2 + 50*s**4 + 17*s**2 + 180*s**3 + 4*s**5 + z*s**2 - 2*s**4.
4*s**2*(s + 2)*(s + 5)**2
Let l(x) be the first derivative of x**5/135 - 13*x**4/18 + x**2 + 11*x - 8. Let o(g) be the second derivative of l(g). Let o(j) = 0. Calculate j.
0, 39
Let c(q) = -q**2 - 17*q - 14. Let x be c(-16). Find u such that -u**2 + 4*u**2 + 2*u**x + 30*u = 0.
-6, 0
Let s(p) be the second derivative of 90*p + 0 + 11/4*p**3 - 1089/8*p**2 - 1/48*p**4. Factor s(g).
-(g - 33)**2/4
Let c(d) be the second derivative of d**5/60 + 83*d**4/3 + 55112*d**3/3 + 18297184*d**2/3 - 669*d + 1. Suppose c(u) = 0. Calculate u.
-332
Let i(p) be the third derivative of -p**5/90 + 85*p**4/36 - 134*p**3 + 825*p**2 + 5*p. Let i(y) = 0. What is y?
18, 67
Let f = 130 + -121. Find u, given that -f - 32*u - 35 + 14 - 4*u**2 - 30 = 0.
-5, -3
Determine h so that 14/3*h + 1/6*h**5 - 7/2*h**3 - 2/3*h**2 + 0 - 2/3*h**4 = 0.
-2, 0, 1, 7
Let b(p) = p**3 + 8*p**2 + 1. Let o(f) = 2*f**3 + 6*f**2 - 60*f + 4. Let s(y) = -4*b(y) + o(y). Let s(t) = 0. What is t?
-10, -3, 0
Let o be 1/(-534)*(-40)/100. Let a = 266/1335 + o. Factor -1/5*t + a + 1/5*t**3 - 1/5*t**2.
(t - 1)**2*(t + 1)/5
Let i(o) be the third derivative of o**5/390 + 73*o**4/156 - 1361*o**2. Factor i(m).
2*m*(m + 73)/13
Let f = -1770/581 - -2766/581. Suppose -56*l + 132/7 - f*l**2 = 0. What is l?
-33, 1/3
Suppose -2*y - 4*q = -0 - 2, 2*y - 2 = -3*q. Suppose 3*n + y = 7. Solve 3 + 71*g**n - 7*g - 68*g**2 + g = 0 for g.
1
Suppose 0*v - 3*v + 3 = -3*m, m + 10 = 4*v. Factor 4 + 354*h**v - 342*h**3 + 3*h + 9*h + 28*h**2 + 8*h.
4*(h + 1)**2*(3*h + 1)
Let f = 30718/11 - 399312/143. Suppose f*z**4 - 14/13*z**2 + 12/13 - 2/13*z + 2/13*z**3 = 0. Calculate z.
-3, -1, 1, 2
Let w(a) be the first derivative of 5*a**2 + 93 - 11*a + 1/3*a**3. Find d such that w(d) = 0.
-11, 1
Let a(w) be the second derivative of 11/4*w**4 + 2/15*w**5 - 4*w**2 + 1 + 8/3*w**3 + 2*w. Let v(f) be the first derivative of a(f). What is p in v(p) = 0?
-8, -1/4
Let c = 877 - 592. Suppose -