2.
2*t*(23*t + 4)/11
Determine w, given that 2/9*w**3 - 4/3*w**2 - 4/3 + 22/9*w = 0.
1, 2, 3
Let m = -1161560/7 - -165938. Factor 3*d**3 + 33/7*d + m + 48/7*d**2.
3*(d + 1)**2*(7*d + 2)/7
Let c(l) = l**4 + 2*l**3 + l - 1. Let z(r) = -15*r**3 - r**2 + 70*r + 46*r + 4*r**2 - 92*r + 0*r**2 - 3. Let k(d) = -3*c(d) + z(d). Factor k(v).
-3*v*(v - 1)*(v + 1)*(v + 7)
Suppose -2*u = -5*m + 10, -5*m + 13 = u + 3. Suppose 9*d - 5*d - 6*d = u. Factor 3/8*c**2 - 1/8*c**3 + d*c - 1/2.
-(c - 2)**2*(c + 1)/8
Let j(v) = -57*v**4 + 27*v**3 - 132*v**2 + 18*v + 18. Let n(g) = 3*g**4 + g**3 - g - 1. Let d(z) = -j(z) - 18*n(z). What is y in d(y) = 0?
0, 4, 11
Let f(d) = -2*d**3 + 10*d**2 + 32*d - 160. Let o be f(5). Let r(h) be the third derivative of o + 0*h**3 - 1/210*h**5 + 20*h**2 - 1/28*h**4 + 0*h. Factor r(k).
-2*k*(k + 3)/7
Let q(k) be the first derivative of -k**6/9 + 82*k**5/15 - 251*k**4/8 + 604*k**3/9 - 181*k**2/3 + 24*k + 1575. Suppose q(x) = 0. What is x?
1/2, 2, 36
Let x(y) be the first derivative of -13*y**4/2 + 178*y**3/3 + 586*y**2 + 176*y + 972. Determine f, given that x(f) = 0.
-4, -2/13, 11
Factor 5/2*l - 21/4 - 1/4*l**2.
-(l - 7)*(l - 3)/4
Suppose 20 = 5*v, 0 = -3*h - 2*h + 2*v + 4512. What is t in h + 29*t - 93*t - 2504 - 4*t**2 + 224*t = 0?
20
Let a be (7 + -13 - -4)/((-2)/11). Suppose a*n - 12*n + 3 = 0. Factor 1/5*m**2 + 4/5*m - 4/5 - 1/5*m**n.
-(m - 2)*(m - 1)*(m + 2)/5
Find c such that -111/7*c**2 + 9/7*c**3 + 135/7*c - 33/7 = 0.
1/3, 1, 11
Factor -15/4*p**2 + 0 - 9/2*p + 1/2*p**4 + 1/4*p**3.
p*(p - 3)*(p + 2)*(2*p + 3)/4
Let g(q) be the third derivative of q**6/270 + 3*q**5/5 + 81*q**4/2 - 21*q**3/2 + 51*q**2. Let i(r) be the first derivative of g(r). Factor i(t).
4*(t + 27)**2/3
Let k(i) be the second derivative of -i**4/12 - 129*i**3/2 - 6738*i. What is o in k(o) = 0?
-387, 0
Suppose 89*l = 90*l + 4*j + 1, -j - 4 = -l. Factor 10/7*r**l - 8 + 86/7*r**2 + 104/7*r.
2*(r + 2)*(r + 7)*(5*r - 2)/7
Let n(x) be the first derivative of x**5 - 335*x**4/2 - 5*x**3 + 1000*x**2 + 1340*x - 7614. Factor n(z).
5*(z - 134)*(z - 2)*(z + 1)**2
Let w = 42080/63093 + -6/21031. What is k in -2/3 - 2/3*k + w*k**2 + 2/3*k**3 = 0?
-1, 1
Let o(g) be the third derivative of 323*g**5/360 - 325*g**4/144 + g**3/18 + 12*g**2 + 14. Factor o(z).
(z - 1)*(323*z - 2)/6
Suppose -24 = z - 17*z - 4*w, -5*w - 58 = -2*z. Factor -7/2*m**3 + m**2 + z*m**4 + 0 + 0*m - 3/2*m**5.
-m**2*(m - 1)**2*(3*m - 2)/2
Let a = -1603380 - -1603380. Let -1452/7*m**2 - 748/7*m**3 + a - 100/7*m**4 + 0*m - 4/7*m**5 = 0. What is m?
-11, -3, 0
Find k such that -202*k**2 + 21955*k**4 - 21950*k**4 - 78*k**2 - 5*k**3 = 0.
-7, 0, 8
Let d(o) = -62*o**3 + 84*o**2 - 120*o - 58. Let j(r) = 26*r**3 - 42*r**2 + 60*r + 28. Let s(p) = -6*d(p) - 13*j(p). Let s(n) = 0. Calculate n.
-2, -4/17, 1
Let j(b) be the second derivative of b**4/6 + 340*b**3 + 260100*b**2 + 72*b + 2. Factor j(c).
2*(c + 510)**2
Let u(l) = 4*l**3 - 130*l**2 - 502*l + 284. Let c(x) = 12*x**3 - 389*x**2 - 1505*x + 851. Let b(n) = -4*c(n) + 11*u(n). Solve b(f) = 0.
-4, 1/2, 35
Let v(t) be the first derivative of -48 - 64/3*t**3 + 13*t**4 - 12/5*t**5 + 8*t**2 + 0*t. Let v(k) = 0. What is k?
0, 1/3, 2
Let w(x) be the second derivative of -x**5/5 + 2*x**4/3 + 40*x**3/3 + 48*x**2 - 50*x. Factor w(r).
-4*(r - 6)*(r + 2)**2
Factor -1/3*s**3 - 856/3 + 1711/3*s - 854/3*s**2.
-(s - 1)**2*(s + 856)/3
Let g(a) = 20*a**2 + 2450*a - 819178. Let c(v) = -11*v**2 - 1220*v + 409588. Let d(j) = 11*c(j) + 6*g(j). Let d(l) = 0. Calculate l.
640
Let m(t) = 2*t**5 - 8*t**4 + 10*t**3 - 4*t - 4. Let o(i) = -3*i**5 + 9*i**4 - 11*i**3 + 2*i**2 + 3*i + 5. Let v(u) = -5*m(u) - 4*o(u). Factor v(c).
2*c*(c - 1)**2*(c + 2)**2
Let m(d) be the first derivative of -5*d**3 - 25*d + 68 + 5/4*d**4 - 45/2*d**2. Solve m(x) = 0.
-1, 5
Let b be 3/2*(-40)/(-12). Suppose 7*z + 20 = -12*z + 29*z. Let -8/7*d + 1/7*d**b - 1/7*d**z - 4/7 + d**3 + 5/7*d**4 = 0. What is d?
-2, -1, 1
Suppose -79*k = k - 880. Let s(n) be the third derivative of 0*n**3 + 0 + 0*n - 1/180*n**6 + 1/36*n**4 + k*n**2 + 1/630*n**7 - 1/180*n**5. Solve s(p) = 0 for p.
-1, 0, 1, 2
Let f(n) = -n**2 + 3. Let x(s) = -4*s**3 + 16*s**2 - 76*s + 96. Let l(o) = -16*f(o) + x(o). Factor l(q).
-4*(q - 4)*(q - 3)*(q - 1)
Let q be (-248)/(-10) - 6734/481. Determine i, given that -q - 12/5*i - 2/15*i**2 = 0.
-9
Let g(i) be the third derivative of i**5/570 + 331*i**4/228 + 169*i**2 + 6*i + 1. Solve g(k) = 0 for k.
-331, 0
Let o be 2/4 + 18*(-5)/(-20). Determine w so that -o*w**2 + 15*w**4 - 30*w**2 + 48*w**3 + 5*w**2 - 13*w**3 = 0.
-3, 0, 2/3
Suppose -1287 = 2363*b - 2792*b. Factor -2/3*w**4 + 1/3*w**5 + 0 + 2/3*w**2 - 1/3*w + 0*w**b.
w*(w - 1)**3*(w + 1)/3
Factor 2/3*u**2 + 8115414 - 4652*u.
2*(u - 3489)**2/3
Let g = 13195804/153951 + -4/153951. Suppose g*i + 120/7*i**2 + 6/7*i**3 + 0 = 0. Calculate i.
-10, 0
Let k(c) = 18*c**3 + 52021*c**2 + 45136014*c + 30067533. Let d(f) = 35*f**3 + 104045*f**2 + 90272030*f + 60135075. Let h(z) = 3*d(z) - 5*k(z). Solve h(q) = 0.
-1734, -2/3
Let -1440 + 22572*y**3 + 22509*y**3 + 1800*y - 44971*y**3 - 740*y**2 - 5*y**4 = 0. What is y?
2, 6, 12
Let i(m) = -2*m**2 + 7*m + 1. Let g be (-3 - -2)*9/(-9). Let b(t) = -t**2 - 1. Let v(l) = g*i(l) + 3*b(l). Factor v(u).
-(u - 1)*(5*u - 2)
Let x(m) be the first derivative of -80 + 1/10*m**5 + 0*m - 5/8*m**4 - m**2 + 4/3*m**3. Determine h so that x(h) = 0.
0, 1, 2
Let u = 37 + -35. Suppose -c - 11 = -3*d, -3 = -5*d + 2*c + 17. Find x such that -x**2 - u*x**3 - 3*x**2 + 2*x**d = 0.
-1, 0
Let m(t) be the third derivative of t**5/15 - 219*t**4/2 + 1312*t**3/3 + 1639*t**2. Let m(f) = 0. What is f?
1, 656
Let o = -141 - -138. Let u(f) = -3*f**2 - 18*f + 18. Let l(g) = -2*g**2 + 1. Let s(j) = o*l(j) + u(j). Find h such that s(h) = 0.
1, 5
Factor -1152 + 381*p - 1039*p**2 - 1038*p**2 + 2078*p**2.
(p - 3)*(p + 384)
Let c(g) = -3*g**2 + 79*g - 78. Suppose -35*s = -45*s + 20. Let z(i) = 39*i**2 - 1026*i + 1014. Let y(q) = s*z(q) + 27*c(q). Factor y(x).
-3*(x - 26)*(x - 1)
Let d be (357/(-49) - -7) + (-20)/(-21). Let m = 581 + -578. Factor 2/3*u**4 - 2/3*u**2 + 0 + 1/2*u**m + 1/6*u**5 - d*u.
u*(u - 1)*(u + 1)*(u + 2)**2/6
Let k(j) be the third derivative of 29/40*j**4 + 0*j + 1/600*j**6 - 19/300*j**5 + 0 - 39/10*j**3 + 114*j**2. Find b such that k(b) = 0.
3, 13
Factor -693 - 645 - 5*u**2 + 665*u + 678.
-5*(u - 132)*(u - 1)
Let i(j) = j**2 + 44. Let n be i(-9). Find v, given that 15*v**3 + 360 - 49*v + 385*v - 5*v**4 + 210*v**2 + 39*v + n*v = 0.
-2, 9
Let u = 118 + 143. Suppose 19 = 7*a - u. Factor 108*c + a*c**3 - 43 - 5*c**4 + 52*c - 21 + c**4 - 132*c**2.
-4*(c - 4)**2*(c - 1)**2
Let g(o) be the second derivative of 0*o**2 - 23*o - 3 - 5*o**3 - 5/12*o**4. Find y, given that g(y) = 0.
-6, 0
Let z = 15527/46563 + -2/15521. Let 0*b**2 + 0 + z*b**3 - 1/3*b = 0. Calculate b.
-1, 0, 1
Let l be 66/44*188/6. Suppose -23*u**3 - 20*u + l*u**3 - 29*u**3 + 20*u**2 = 0. What is u?
0, 2
Let b(d) be the first derivative of 5*d**4/4 - 140*d**3/3 - 145*d**2/2 - 1019. Find f, given that b(f) = 0.
-1, 0, 29
Let p(c) = c - 1. Let a(f) be the first derivative of -27 + 2*f**3 + 4*f + 1/2*f**4 + 2*f**2. Let h(u) = a(u) + 2*p(u). Determine z so that h(z) = 0.
-1
Let w(g) be the second derivative of 1/96*g**4 + 0 - 6*g**2 + 0*g**3 - 1/240*g**5 - 11*g. Let u(h) be the first derivative of w(h). Factor u(b).
-b*(b - 1)/4
Let g(n) be the second derivative of 5*n**9/1008 - 3*n**8/140 + n**7/70 - 8*n**3 + 131*n. Let h(w) be the second derivative of g(w). What is c in h(c) = 0?
0, 2/5, 2
Suppose 0 = -w - 2*w - 3. Let q be -1 - w/((-1)/(-7)). Factor q - n + 0*n + n + 3*n - 3*n**2.
-3*(n - 2)*(n + 1)
Let b(r) be the third derivative of -r**5/30 - 1669*r**4/12 - 556*r**3 + 2*r**2 + 7861*r. Factor b(z).
-2*(z + 1)*(z + 1668)
Determine l, given that 15459*l + 147/4*l**3 - 27069*l**2 - 2208 = 0.
2/7, 736
Suppose -15*l - b = -13*l - 5, 0 = 3*l - 2*b - 4. Determine x, given that -7*x**l + 690 + x**3 + 14*x + 691 - 1389 = 0.
1, 2, 4
Let d(n) = -51*n**2 + 7281*n + 28224. Let o(q) = 3*q**2 - 455*q - 1764. Let m(j) = -2*d(j) - 33*o(j). Determine p so that m(p) = 0.
-147, -4
Let g(t) be the third derivative of 5*t**8/48 - 457*t**7/42 + 27*t**6/8 + 3241*t**5/12 - 4565*t**4/6 + 650*t**3 - 4557*t**2 + 2. Find