(w) be the first derivative of 4/3*w**2 + 1/15*w**5 - 31 - 2/3*w**3 - 24*w + 0*w**4. Let p(u) be the first derivative of r(u). Solve p(l) = 0.
-2, 1
Let j(b) = 11*b**3 + 163*b**2 - 274*b + 2. Let t(d) = 5*d**3 + 13*d**2 + 2*d + 1. Let x(o) = 3*j(o) - 6*t(o). Factor x(r).
3*r*(r - 2)*(r + 139)
Let g(l) = -5*l**2 - 144*l - 1119. Let f(d) = -d - 1. Let p = -131 - -137. Let o(a) = p*f(a) + g(a). Find t such that o(t) = 0.
-15
Let k be ((-2772)/550)/(9*20/(-2100)). Let -k*p - 48/5*p**3 - 3/5*p**4 - 231/5*p**2 + 0 = 0. Calculate p.
-7, -2, 0
Let r(c) be the second derivative of 3/8*c**3 + 5/16*c**5 + 1 + 1/30*c**6 + 7/8*c**4 + 0*c**2 - 52*c. Find o such that r(o) = 0.
-3, -1/4, 0
Let r(v) be the first derivative of -4*v**6/3 + 148*v**5/5 - 250*v**4 + 3008*v**3/3 - 1896*v**2 + 1260*v - 93. Let r(i) = 0. What is i?
1/2, 3, 5, 7
Suppose 562 = 3*i + 502. Factor -i*r + 59 - 40*r**2 + 36*r**2 - 3.
-4*(r - 2)*(r + 7)
Find t, given that -38186*t**2 + t**4 + 749*t**3 + 7695812*t - 2990796 - 12634204 + 7741688*t + 224936*t**2 = 0.
-250, 1
Let p(h) be the second derivative of -h**5/20 + 7*h**4/4 + 221*h**3/3 + 2*h + 2863. Factor p(z).
-z*(z - 34)*(z + 13)
Let p(c) be the second derivative of -200/9*c**3 - 160/3*c**2 - 85/36*c**4 - 1/12*c**5 + 0 + 10*c. Factor p(x).
-5*(x + 1)*(x + 8)**2/3
Let l(j) be the first derivative of 16*j - 1/3*j**3 + 92 + 15/2*j**2. Find z such that l(z) = 0.
-1, 16
Let u(y) = -5 + y**2 + 17*y - 20 - 14 + 64 - 9. Let g be u(-16). What is h in -8/7*h**3 - 22/7*h**2 + 6/7*h + g = 0?
-3, 0, 1/4
Let g(r) be the first derivative of 5/3*r - 1/18*r**3 + 60 - 1/4*r**2. Let g(h) = 0. Calculate h.
-5, 2
Let g(j) = j**3 - j**2 - 19*j + 7. Let t be 19/133 - (-4 + 285/35). Let q be g(t). Solve 13/2*i**2 + 18 + 24*i + 1/2*i**q = 0 for i.
-6, -1
Let f(u) be the third derivative of 7/24*u**3 + 0*u + 1/48*u**5 + 0 - 160*u**2 + 1/960*u**6 + 23/192*u**4. Factor f(l).
(l + 1)*(l + 2)*(l + 7)/8
Let w = -45007/84 - -6445/12. What is h in -12/7*h + w + 3/7*h**2 = 0?
1, 3
Determine h so that -2437*h**2 + 2937*h**2 + 210*h**3 + 5*h**5 - 21*h**4 - 111*h**4 + 7*h**4 - 920*h = 0.
-2, 0, 2, 23
What is d in -411 + 1/2*d**3 - 135*d**2 - 1093/2*d = 0?
-3, -1, 274
Let v = -251 - -289. Factor -35*d**2 - 9*d**3 + 20*d**3 - 8*d**3 + v*d**2.
3*d**2*(d + 1)
Let m = -851706 + 851708. Factor 14/15*z**4 - 16/15*z**3 + 0 - 2/3*z**m + 4/5*z.
2*z*(z - 1)**2*(7*z + 6)/15
Factor -1/5*h**2 - 45*h + 226/5.
-(h - 1)*(h + 226)/5
Let x(z) = 15*z**2 + 77*z + 17. Let r = -46 + 39. Let v(p) = 9*p**2 + 51*p + 11. Let a(g) = r*v(g) + 5*x(g). Find l such that a(l) = 0.
-2, -1/3
Let y(z) be the second derivative of 0*z**2 - 4/15*z**6 - 8*z + 0*z**4 + 3/5*z**5 + 0*z**3 - 2/21*z**7 + 0. Factor y(n).
-4*n**3*(n - 1)*(n + 3)
Let -2/9*s**5 - 868/9*s**3 - 144*s + 26/3*s**4 + 232*s**2 + 0 = 0. Calculate s.
0, 1, 2, 18
Let d(f) = -325*f**2 - 104440*f + 77912220. Let l(w) = -49*w**2 - 14920*w + 11130317. Let j(y) = -3*d(y) + 20*l(y). Solve j(r) = 0.
1492
Suppose -186*a + 1026/5 + 2/5*a**3 - 98/5*a**2 = 0. What is a?
-9, 1, 57
Let u(t) = -t**3 + 12*t**2 - 14*t - 53. Let n be u(10). Suppose -6 = 5*x - n*x. Let 8/7*i**2 + 6/7*i + 0 + 2/7*i**x = 0. Calculate i.
-3, -1, 0
Factor v**2 + 16710*v - 33187*v + 706 + 15770*v.
(v - 706)*(v - 1)
Let o(i) = -2558*i - 2558. Let g be o(-1). Determine w so that g + 0*w**3 - 1/2*w**2 + 1/4*w**5 - 1/4*w + 1/2*w**4 = 0.
-1, 0, 1
Let i be (-200)/3520*(-118)/5. Let k = -12/11 + i. Factor 0*q + 0*q**3 - k*q**4 + 0 + 0*q**2 + 1/4*q**5.
q**4*(q - 1)/4
Let a = -268 - -262. Let o(x) = -x**2 - 15*x - 52. Let f be o(a). Factor -3/2*y**f + 3/4*y + 0 + 3/4*y**3.
3*y*(y - 1)**2/4
Let t(l) be the second derivative of -l**3 + 0 + 0*l**2 - 1/20*l**5 - 11*l + 7/12*l**4. Factor t(c).
-c*(c - 6)*(c - 1)
Let d(c) be the third derivative of 49*c**5/30 + 1309*c**4/6 + 34969*c**3/3 - 12*c**2 - 5*c - 5. Factor d(m).
2*(7*m + 187)**2
Let v(u) be the second derivative of 7*u**6/270 + 3*u**5/20 + 2*u**4/9 - 2*u**3/27 + 2*u - 1072. Factor v(d).
d*(d + 2)**2*(7*d - 1)/9
Let y = -25258 - -25258. Solve 28/3*t**3 + 6*t**4 + 4/3*t**5 + 6*t**2 + 4/3*t + y = 0.
-2, -1, -1/2, 0
Let n(s) = 25*s + 131. Let l be n(-5). Suppose 5 = f + i, -2 + l = -f + 2*i. Factor -4/9 + 0*q**f + 2/3*q - 2/9*q**3.
-2*(q - 1)**2*(q + 2)/9
Let 12*b + 1713*b**3 - 288 + 1708*b**3 + 72*b**2 + 1708*b**3 - 5132*b**3 = 0. Calculate b.
-2, 2, 24
Let x(j) be the third derivative of j**5/5 + 244*j**4/3 - 326*j**3/3 - 319*j**2 - 1. Find p, given that x(p) = 0.
-163, 1/3
Let h(w) be the first derivative of 117 + 6*w**2 + 1/4*w**3 + 48*w. Factor h(s).
3*(s + 8)**2/4
Let l = -6470 - -6475. Let u(q) be the second derivative of 0 - 3/10*q**2 + 1/50*q**6 + 0*q**4 + 3/50*q**l - 1/5*q**3 + 14*q. Factor u(h).
3*(h - 1)*(h + 1)**3/5
Let -47520/7*x - 4/7*x**3 - 124*x**2 - 46656/7 = 0. Calculate x.
-108, -1
Let t(i) = 540*i**2 - 262*i - 2. Let z(d) = -d**2 + 80*d + 1. Let n(u) = -t(u) - 10*z(u). Factor n(q).
-2*(q + 1)*(265*q + 4)
Suppose -5*q = u - 630, -4*u + 238 = -3*q + 639. Solve 128*i - 252*i + 18 + q*i - 3*i**2 = 0 for i.
-2, 3
Let g = 12 + 8. Factor t**3 - 3*t - 40 + 22 + g.
(t - 1)**2*(t + 2)
Let q(f) = 2*f**2 + 20*f + 11. Suppose 44 = -49*l + 47*l - 3*z, 3*l + 3*z = -66. Let d(i) = 1. Let k(t) = l*d(t) + 2*q(t). Factor k(m).
4*m*(m + 10)
Suppose -4*o + 13*o = -900. Let n = o - -121. Let -168*l**2 - 27*l**3 - 44*l - 70*l - n*l**3 - 33*l = 0. Calculate l.
-7/4, 0
Let m = 49 - 19. Let s(l) = 2254*l - 40562. Let j be s(18). Determine u, given that 15/2*u**2 + 25/2*u**3 - m*u + j = 0.
-2, 2/5, 1
Let d(a) be the second derivative of 8*a**2 + 175*a**4 + 162*a + 0 - 176/3*a**3 - 441/5*a**5. Factor d(x).
-4*(x - 1)*(21*x - 2)**2
Let q = -380 + 378. Let j(l) = -l**4 - 6*l**3 - 3*l**2 - 2*l - 2. Let c(a) = a**3 + a + 1. Let m(r) = q*j(r) - 4*c(r). Factor m(x).
2*x**2*(x + 1)*(x + 3)
Let o(j) = -j**2 + j - 1. Let l = 12 + -13. Let a(g) = -12*g**2 + 52*g + 40. Let x(i) = l*a(i) + 16*o(i). Factor x(w).
-4*(w + 2)*(w + 7)
Factor -5*p**2 + 20 - 14 - 40*p + 27 + 3 + 9.
-5*(p - 1)*(p + 9)
Let u(j) be the third derivative of 0*j**4 + 0*j + 0*j**3 - 17/12*j**5 + 0 + 59*j**2 - 1/24*j**6. Find c, given that u(c) = 0.
-17, 0
Determine v, given that -2209 - 2368 - 180*v**2 - 700 + 583 - 3946 + 5*v**3 + 2160*v = 0.
12
Suppose -17 + 23 = p, -2*l = p - 18. Let b(x) be the third derivative of 0 - 1/24*x**5 + 1/60*x**l + 0*x + 0*x**3 + 1/48*x**4 - 9*x**2. What is j in b(j) = 0?
0, 1/4, 1
Let s(h) be the third derivative of 0*h - 2/3*h**3 - 2/105*h**7 - 53*h**2 - 1/15*h**6 + 0 + 1/6*h**4 + 2/15*h**5 + 1/84*h**8. Let s(g) = 0. Calculate g.
-1, 1
Let v(b) be the second derivative of -23 - 841*b**2 - 1/6*b**4 - 2*b - 58/3*b**3. Factor v(m).
-2*(m + 29)**2
Let d(c) be the first derivative of c**6/75 - c**5/25 + c**4/30 + 183*c - 72. Let z(u) be the first derivative of d(u). Factor z(f).
2*f**2*(f - 1)**2/5
Let w(r) be the first derivative of r**3/3 - r**2/2 - 6*r + 967. Factor w(a).
(a - 3)*(a + 2)
Let b(a) be the third derivative of 0*a - 2/5*a**5 + 1/3*a**4 + 1/168*a**8 + 0*a**3 + 13/60*a**6 - 52*a**2 + 1 - 2/35*a**7. Determine f, given that b(f) = 0.
0, 1, 2
Let z(t) be the second derivative of -t**6/15 - 114*t**5/5 - 2127*t**4 + 27140*t**3/3 + 39675*t**2 - 655*t - 2. Solve z(v) = 0.
-115, -1, 3
Let x be 2/(((-540)/2475)/((-4)/30)). Let q(b) be the second derivative of 2*b**2 + 7*b + 1/3*b**4 - x*b**3 - 1/30*b**5 + 0. Suppose q(t) = 0. Calculate t.
1, 2, 3
Factor -1671*h**2 - 189 - 1661*h**2 + 942*h + 3347*h**2.
3*(h + 63)*(5*h - 1)
Let b(x) = -5*x**3 + 180*x**2 + x - 36. Let k be b(36). Let t be -2 - ((-6)/(-5))/((-9)/30). Let k - 2/13*q - 2/13*q**t = 0. What is q?
-1, 0
Suppose 0 = 15*f - 41*f + 754. Suppose -f*r + 19*r = -50. Factor 3 - 1/4*k**4 + 7/4*k**2 + r*k - 1/2*k**3.
-(k - 3)*(k + 1)*(k + 2)**2/4
Determine l so that -1068/5 + 6/5*l**3 + 3207/5*l - 429*l**2 = 0.
1/2, 1, 356
Let f(q) be the first derivative of -2/3*q**3 - 2*q**2 - 16 + 1/20*q**5 - 2*q + 1/12*q**4. Let p(h) be the first derivative of f(h). Factor p(n).
(n - 2)*(n + 1)*(n + 2)
Let o(w) be the first derivative of -w**5 + 45*w**4/4 - 100*w**3/3 + 30*w**2 + 3508. Factor o(v).
-5*v*(v - 6)*(v - 2)*(v - 1)
Factor 6578*p - 79*p**2 + p**3 - 3296*p - 3444*p.
p*(p - 81)*(p + 2)
Suppose 14*q = 5*q + 9.