2. Let o be y(21). Suppose 36 = 23*v - o. Determine c, given that 2*c + 1/2*c**v + 0 = 0.
-4, 0
Let n = 11548/413 + -436/59. Factor -n*s + 162/7*s**2 + 32/7.
2*(9*s - 4)**2/7
Let f(a) = -a**3 + 3*a**2. Let l(x) = -x**3 + 3*x**2. Let d(c) = -c**3 + 17*c**2 - 2*c + 39. Let s be d(17). Let t(p) = s*l(p) - 4*f(p). What is r in t(r) = 0?
0, 3
Suppose 8*r - 200 = -12*r. Suppose -243*f + r = -238*f. Factor 2/5*m + 2/5*m**f - 2/5 - 2/5*m**3.
-2*(m - 1)**2*(m + 1)/5
Let m(h) be the third derivative of 0*h - 1/30*h**6 - 2*h**2 - 19 + 8/3*h**3 + 8/105*h**7 + 1/168*h**8 - 8/15*h**5 + 1/12*h**4. Determine k so that m(k) = 0.
-8, -1, 1
Let r be 113/((-26555)/1974) - -10. Solve -r*l - 2/5*l**3 - 2*l**2 + 0 = 0.
-4, -1, 0
Factor -9/2*a - 17/2 + 33/8*a**2 + 1/8*a**3.
(a - 2)*(a + 1)*(a + 34)/8
Let p = 241/510 - -13/102. Let g(n) be the first derivative of p*n**2 + 2/25*n**5 - 4/5*n - 3/10*n**4 + 2/15*n**3 - 12. Determine y, given that g(y) = 0.
-1, 1, 2
Let -129210*m**2 + 129211*m**2 + 35*m + 87 - 21 = 0. Calculate m.
-33, -2
Let k(l) be the third derivative of -l**6/40 + l**5/5 + 21*l**4/8 - 3*l**2 - 212. Suppose k(x) = 0. Calculate x.
-3, 0, 7
Let p(f) = 2*f**3 + 48*f**2 - 294*f + 710. Let x(l) = -3*l**2 + l + 1. Let s(c) = -p(c) - 10*x(c). Factor s(o).
-2*(o - 5)*(o - 4)*(o + 18)
Let i(x) be the second derivative of x**4/20 - 23*x**3/2 - 714*x**2/5 - 83*x - 19. Factor i(p).
3*(p - 119)*(p + 4)/5
Let k + 283*k**2 - 51*k**2 - 233*k**2 = 0. What is k?
0, 1
Let b(i) = i**2 - 37*i - 146. Let c(l) = 2*l**2 - 75*l - 287. Let k(s) = -5*b(s) + 2*c(s). Factor k(w).
-(w - 39)*(w + 4)
Let w(f) = 4*f + 9. Let i be w(5). Let y = i - 14. Determine z, given that -16*z**3 + y*z**5 - 16*z**2 + 13*z**5 - 104*z**4 + 124*z**3 + 7*z - 23*z = 0.
-2/7, 0, 1, 2
Let i(x) be the third derivative of x**5/90 - 283*x**4/36 + 124*x**3 + x**2 - 54*x + 1. Factor i(k).
2*(k - 279)*(k - 4)/3
Let g be (697/(-595))/(12/10) - -1. Let t(f) be the third derivative of 0*f - 14*f**2 - 5/24*f**4 + 0 - 1/8*f**6 + 1/4*f**5 + 0*f**3 + g*f**7. Factor t(c).
5*c*(c - 1)**3
Let h(u) be the third derivative of u**6/360 + 7*u**5/30 - 29*u**4/24 + 4*u**3/3 - 112*u**2. Let j(z) be the first derivative of h(z). Solve j(v) = 0 for v.
-29, 1
Let p be 25 + 30*(-195)/234. Let 0 - 9*d**4 + 48*d**2 + 0*d + p*d**3 - 3/2*d**5 = 0. Calculate d.
-4, 0, 2
Let b(l) be the third derivative of -8/45*l**3 + 2*l**2 + 4/225*l**5 - 3 + 0*l - 1/180*l**4 + 1/900*l**6. Factor b(f).
2*(f - 1)*(f + 1)*(f + 8)/15
Factor -3/2*u**3 - 9*u**2 + 351/2*u - 405.
-3*(u - 6)*(u - 3)*(u + 15)/2
Let n(v) = v**2 - v - 20. Let c be n(-20). Find k such that 292*k**3 + c*k**2 + 28*k**3 - 70*k**4 + 4*k**5 - 6*k**4 = 0.
-1, 0, 10
Let b be (28 - 42) + 17 + (-4)/3. Let a(q) be the first derivative of 3 + 5*q + 5*q**2 + b*q**3. Let a(z) = 0. What is z?
-1
Let o(y) = -y**2 + 11*y + 44. Suppose -5*s + 73 = 3*w, 4*w - 74 = 3*s - 8*s. Let m be o(s). Factor 28*q + 30*q - 60*q + 6*q**3 - q**m - 3*q**3.
q*(q - 1)*(3*q + 2)
Let a(i) be the second derivative of 14/13*i**2 - 110*i - 3/13*i**3 + 0 + 1/78*i**4. Factor a(x).
2*(x - 7)*(x - 2)/13
Let v(x) be the second derivative of -x**5/15 - 550*x**4/9 + 2*x**3/9 + 1100*x**2/3 + 1979*x + 1. Let v(h) = 0. What is h?
-550, -1, 1
Suppose -40/7*f - 88/7 - 2/7*f**3 + 46/7*f**2 = 0. What is f?
-1, 2, 22
Let c(d) = -d**3 + 221*d**2 + 901*d - 219. Let i be c(225). Factor 3/2*q**4 - 48*q - 18*q**2 + i*q**3 + 96.
3*(q - 2)**2*(q + 4)**2/2
Let f(s) be the second derivative of s**4/66 - 394*s**3/11 + 349281*s**2/11 - 149*s + 1. Determine i so that f(i) = 0.
591
Let z(a) be the second derivative of 1/12*a**4 - 2 + 21/2*a**2 + 9*a + 11/3*a**3. Determine c, given that z(c) = 0.
-21, -1
Let l(o) = o**3 + 311*o**2 - 6*o. Let j(r) = -2*r**3 - r**2 + 6*r. Let n(b) = -j(b) - l(b). Factor n(k).
k**2*(k - 310)
Find w, given that -38*w**5 + 282*w**4 + 15*w**5 + 9*w**5 + 722*w**3 + 600*w - 110*w**4 - 2320*w**2 = 0.
-5, 0, 2/7, 2, 15
Determine f, given that -1279 - 104*f - 64*f**3 + 1279 + 4*f**4 + 164*f**2 = 0.
0, 1, 2, 13
Let t(b) be the third derivative of -b**7/4200 - b**6/360 - 27*b**3 - 2*b**2 + 8*b. Let a(v) be the first derivative of t(v). Determine h, given that a(h) = 0.
-5, 0
Let l(y) = -5*y**4 - 7*y**3 - 7*y**2 + 3*y + 4. Let m(q) = 13*q**4 + 21*q**3 + 21*q**2 - 9*q - 11. Let i(x) = -11*l(x) - 4*m(x). Factor i(t).
t*(t - 3)*(t + 1)*(3*t - 1)
Let m = -277 + 285. Suppose -m*n + 61 = 61. Factor 2/9*p + n - 2/3*p**2.
-2*p*(3*p - 1)/9
Let m = 9860 - 29573/3. Let f(p) be the first derivative of 10*p - m*p**3 + 26 - 33/2*p**2. Suppose f(c) = 0. What is c?
-5, 2/7
Let c = -334070/27 + 12373. Let f(s) be the first derivative of -30 - c*s**3 + 1/18*s**2 + 0*s. Factor f(b).
-b*(b - 1)/9
Let j(d) be the first derivative of 14*d + 8/3*d**3 - 13 - 9*d**2 + 1/6*d**4. Let b(i) be the first derivative of j(i). Find m such that b(m) = 0.
-9, 1
Let g(d) be the third derivative of d**6/1080 + d**5/72 + 43*d**3/6 - 8*d**2 + 7*d. Let m(j) be the first derivative of g(j). Factor m(h).
h*(h + 5)/3
Let d be 6/(7 + -2 - 2). Let -882*y**d + 881*y**2 - 2*y + 4 - 4 = 0. Calculate y.
-2, 0
Factor 87 + 5 - 4*v**2 + 3*v**2 + 3*v**2 + 22 - 44*v.
2*(v - 19)*(v - 3)
Let b(k) be the third derivative of k**6/2340 - k**5/65 + 106*k**3/3 + 91*k**2. Let n(o) be the first derivative of b(o). Factor n(q).
2*q*(q - 12)/13
Let d be (-2)/15*-1*(29 - 15 - -1). Let 3*u**d + 2/3*u - 1/3*u**4 - 8/3 - 2/3*u**3 = 0. Calculate u.
-4, -1, 1, 2
Let k be 6 - (-14)/(-21)*3. Factor -8 + 6*v**3 - 21*v**4 + 39*v**k - 20*v**4 - v - 5*v + 10*v**2.
-2*(v - 4)*(v - 1)*(v + 1)**2
Suppose 21*b = 7*b - 588. Let n be (-34)/51 + (-40)/b. Determine u, given that n*u**2 + 0 + 4/7*u = 0.
-2, 0
Factor 30*d + 264/7 - 3/7*d**3 - 57/7*d**2.
-3*(d - 4)*(d + 1)*(d + 22)/7
Let n(b) be the third derivative of -9*b**2 - 1/570*b**5 + 0 - 2/57*b**4 + 0*b - 5/19*b**3. Solve n(w) = 0.
-5, -3
Let r(u) be the third derivative of u**5/100 - 63*u**4/40 - 32*u**3/5 - 758*u**2. Determine f, given that r(f) = 0.
-1, 64
Solve -2/3*m**2 + 0 + 170*m = 0 for m.
0, 255
Let d be (12/15)/(((-21)/32830)/1). Let i = d + 1251. Factor -i*r**3 + 1/3 - 1/3*r**2 + 1/3*r.
-(r - 1)*(r + 1)**2/3
Let l be 1 + 9 - (7 - 252/(-90)). Let j(m) be the first derivative of -1/15*m**3 + l*m**2 - 1/10*m**4 - 43 + 1/25*m**5 + 0*m. Factor j(k).
k*(k - 2)*(k - 1)*(k + 1)/5
Let s(r) be the third derivative of r**6/120 - 101*r**5/60 + 2867*r**4/24 - 15463*r**3/6 - 8286*r**2. Find o such that s(o) = 0.
7, 47
Let k(x) = 53*x**2 + 687*x - 1376. Let o(q) = -62*q**2 - 686*q + 1375. Let s(z) = -7*k(z) - 6*o(z). Factor s(v).
(v - 691)*(v - 2)
Let f(t) = 80*t**2 - 9*t + 32. Let q(y) = y**2 + 16. Let n(u) = -f(u) + 2*q(u). Factor n(d).
-3*d*(26*d - 3)
Find c, given that -1360/3 - 3080/3*c - 15*c**2 = 0.
-68, -4/9
Let u = 6974 - 6971. Let s(o) be the third derivative of 1/16*o**4 + 0*o - 1/40*o**5 + 9*o**2 + 1/2*o**u + 0. Factor s(j).
-3*(j - 2)*(j + 1)/2
Let k(l) be the first derivative of -l**4 - 1024*l**3/3 - 2016*l**2 - 2420. Let k(z) = 0. Calculate z.
-252, -4, 0
Let g(d) be the second derivative of -d**4/36 - 767*d**3/9 + 1831*d. Factor g(o).
-o*(o + 1534)/3
Let t(j) be the third derivative of 2*j - 5*j**2 - 1/6*j**5 + 0*j**3 + 0 + 1/60*j**6 + 1/2*j**4. What is n in t(n) = 0?
0, 2, 3
Solve -47*n**2 - 17*n**3 + 19*n**3 + 10*n**3 - 108*n**4 + 55*n**2 = 0.
-2/9, 0, 1/3
Let m(z) = 99*z**2 - 120*z + 15. Let f(w) = -13*w**2 + 17*w - 2. Let y(j) = -15*f(j) - 2*m(j). Let y(t) = 0. Calculate t.
-5, 0
Let f = -2045/7 - -55222/189. Let h(m) be the second derivative of -1/180*m**5 + 11/54*m**3 + 0 + 24*m - 1/3*m**2 - f*m**4. Let h(r) = 0. Calculate r.
-6, 1
Solve 96/5 + 80*y**3 + 482/5*y + 778/5*y**2 + 8/5*y**4 = 0 for y.
-48, -1, -1/2
Let -72/5*b**2 - 432/5*b + 12/5*b**3 + 0 + 2/5*b**4 = 0. Calculate b.
-6, 0, 6
Let t = -22205 + 22205. Let m(z) be the second derivative of t*z**2 + 0 + 16*z + 2/33*z**3 - 1/66*z**4. Factor m(w).
-2*w*(w - 2)/11
Let h be 0 - (-1 - (-80 - -4)). Let w = -69 - h. Determine t, given that 16*t - t - w*t - 2 - 7*t**2 + 0*t = 0.
2/7, 1
Let k(v) be the third derivative of -v**6/120 - 19*v**5/80 + 5*v**4/8 + 55*v**3/3 - 11*v**2. Let p(o) be the first derivative of k(o). Solve p(d) = 0.
-10, 1/2
Suppose 4*m = -5*k + 21 + 19, -5*m = 4*k - 4