he third derivative of v(r). Factor y(t).
4*t*(t + 5)**2
Let c(g) = 2*g**5 - 3*g**4 + g**3 - 6*g - 3. Let i(u) = u**5 - 2*u**4 + 2*u**3 - 4*u - 2. Let p(q) = 2*c(q) - 3*i(q). What is z in p(z) = 0?
-2, 0, 2
Let d(m) = m**3 - m**2 - m + 1. Let x(c) = -45*c**3 - 40*c**2 - 165*c + 250. Let t(i) = 50*d(i) + x(i). Determine j, given that t(j) = 0.
-3, 1, 20
Suppose 920*r - 202112*r**2 + 404226*r**2 - 202110*r**2 - 924 = 0. What is r?
-231, 1
Let b(d) be the first derivative of -d**4/42 + 19*d**3/21 - 18*d**2/7 - 86*d - 5. Let j(y) be the first derivative of b(y). Determine z, given that j(z) = 0.
1, 18
Suppose -3*u = 21, 0 = 3*b + 3*u + 6*u - 5*u + 19. Find m, given that -13*m + 35/2*m**2 + 2 + 49/4*m**b = 0.
-2, 2/7
Let z = 506956 - 506954. Find r such that -4*r + 0 - 312/5*r**3 + 16/5*r**4 - 159/5*r**z = 0.
-1/4, 0, 20
Let w be ((-38)/(-171))/(-1 - (-10)/9). Suppose w*s + 18 = 4*o, 0*s + 5*s = 5. Factor -2*y**4 - 3*y**2 + 9*y**5 - 8*y**5 - 4*y**o - 9*y**3 - 7*y**4.
-3*y**2*(y + 1)**3
Factor 6*g**2 - 40*g**2 + 5*g**2 - 2367*g - 2370 + 6*g**2 + 26*g**2.
3*(g - 790)*(g + 1)
Let f(x) = 5*x**2 - 57*x + 151. Let c be f(4). Suppose 0 - 11/4*n**2 + 0*n + 1/4*n**c = 0. Calculate n.
0, 11
Let u be (-570)/171*(-18)/15. Let l(v) be the first derivative of -9 - v - v**3 - 1/4*v**u - 3/2*v**2. Factor l(f).
-(f + 1)**3
Let b(r) be the first derivative of -12*r**5 - 349*r**4 - 1672*r**3/3 + 8*r**2 + 352*r - 55. Determine s so that b(s) = 0.
-22, -1, -2/3, 2/5
Let k(s) be the third derivative of -1/80*s**5 + 1/2*s**3 + 0*s + 11*s**2 + 5 + 3/16*s**4 - 3/320*s**6. Suppose k(b) = 0. What is b?
-2, -2/3, 2
Let a(b) = 2*b - 13. Let v be a(8). Suppose 2*z = -0*z - g + 18, 0 = v*z + 4*g - 22. Find f such that -2*f**2 - 15 + 3*f**2 - z + 10*f - 2*f**2 = 0.
5
Let m(k) be the third derivative of 21*k**2 + 0*k**3 + 2 + 0*k + 3/28*k**4 + 1/210*k**5. Factor m(i).
2*i*(i + 9)/7
Suppose -8 = -3*p + 4. Let f be (11718/84)/9 - 14. Solve 9*g**2 - f - 15/2*g**p - 6*g + 6*g**3 = 0.
-1, -1/5, 1
Let q be ((-2478)/(-35))/((-6)/(-15)). Let j = q + -174. Factor 2/5*r + 0 + 2*r**2 + 8/5*r**j.
2*r*(r + 1)*(4*r + 1)/5
What is t in 130 + 3265*t**3 + 15025*t**2 + 1117*t - 535 + 142*t**4 + 818*t + 38*t**4 = 0?
-9, -1/4, 1/9
Suppose 2*s = 2*t - 4, 3*t - 9 = -4*s - 3. Let 24*z**3 - 55*z**t + 363*z**5 + 12*z - 367*z**5 + 23*z**2 = 0. Calculate z.
-3, 0, 1
Let x be ((-14)/(-12) - -1) + (27132/306)/(-133). Solve -1/2*c**3 + c + 3/2*c**4 - 1/2*c**5 - x*c**2 + 0 = 0.
-1, 0, 1, 2
Factor 2/7*j**3 + 16/7*j - 40/7 + 22/7*j**2.
2*(j - 1)*(j + 2)*(j + 10)/7
Let a(b) be the third derivative of 5*b**8/336 - 2*b**7/21 + b**6/6 + b**5/6 - 25*b**4/24 + 5*b**3/3 - 63*b**2 + 1. Factor a(x).
5*(x - 2)*(x - 1)**3*(x + 1)
Let h be 52145/15 + 76 + -54 - -2*(-1)/(-6). Factor -1376*i**2 - 524/3*i**3 - h*i - 22/3*i**4 + 2048/3.
-2*(i + 8)**3*(11*i - 2)/3
Let g(c) be the first derivative of -139 + 24*c**3 + 0*c**2 + 1/3*c**6 + 12*c**4 + 0*c - 22/5*c**5. Factor g(q).
2*q**2*(q - 6)**2*(q + 1)
Let k(r) = -15*r + 475 - 936 + 479 - 5*r**2. Let n(h) = -2 - 1 + 2. Let w(l) = k(l) - 2*n(l). What is z in w(z) = 0?
-4, 1
Suppose -2*h + 204 = 4*h. Suppose 0 = 5*s - 26 - h. Suppose -4 + s*x + 0*x**2 + 25*x**2 + 20*x**3 + 11*x**2 = 0. Calculate x.
-1, 1/5
Let m = -78/20411 + 4042392/265343. Determine o, given that -150/13*o + m + 34/13*o**2 - 2/13*o**3 = 0.
3, 11
Let q(s) = 3*s**4 + 3*s**3 - s**2 + 2*s + 1. Let a(j) = 9*j**4 - 132*j**3 + 394*j**2 - 386*j + 131. Let t(n) = a(n) - 2*q(n). Factor t(m).
3*(m - 43)*(m - 1)**3
Let v(d) = d**3 - 26*d**2 + 2*d - 35. Let l be v(26). Factor -2294 - 8*w + 21*w + l*w**2 + 2290.
(w + 1)*(17*w - 4)
Let w(u) be the third derivative of u**5/140 - 41*u**4/28 + 81*u**3/14 + u**2 - 2220*u. Factor w(r).
3*(r - 81)*(r - 1)/7
Suppose -212/9*v**2 - 26/9*v**3 + 2/9*v**4 + 0 - 304/9*v = 0. Calculate v.
-4, -2, 0, 19
Let 928/7 + 4/7*v**2 + 472/7*v = 0. Calculate v.
-116, -2
Factor 2*d**4 - 416*d**3 + 80*d**3 + 7056*d**2 + 2*d**4.
4*d**2*(d - 42)**2
Let p(x) be the first derivative of -17*x**3/15 + 577*x**2/5 + 136*x/5 + 351. Solve p(w) = 0.
-2/17, 68
Factor -117*n**3 - 9941*n**2 - 1227*n - 5*n**4 + 2*n**4 - 558 + 9158*n**2.
-3*(n + 1)**2*(n + 6)*(n + 31)
Let n = -154591 + 2937239/19. Solve -2/19*o**2 + 28/19 - n*o = 0.
-7, 2
Let y(p) be the first derivative of 2*p**3/15 + 52*p**2/5 + 102*p/5 - 1056. Factor y(t).
2*(t + 1)*(t + 51)/5
Let c = -38 + 18. Let s(u) = 5*u**3 - 32*u**2 + 67*u - 37. Let x(z) = -35*z**3 + 225*z**2 - 470*z + 260. Let a(m) = c*s(m) - 3*x(m). Solve a(b) = 0.
1, 2, 4
Let j = 63 - 48. Let h be (12/j)/(4/20). Factor -8*w**2 - w + 12 + 0*w**2 - h*w**4 - 4*w + 16*w**3 - 11*w.
-4*(w - 3)*(w - 1)**2*(w + 1)
Suppose 423*u = -30*u + 306 - 301 + 901. Solve 72*w + 1/4*w**3 - 64 - 33/4*w**u = 0 for w.
1, 16
Suppose 7 = 2*m - 4*u - 7, 5*m + 2*u + 13 = 0. Let f(n) = -n**2 - n - 1. Let y(r) = -2*r**2 - 14*r - 1. Let g(k) = m*f(k) + y(k). Suppose g(h) = 0. What is h?
-13, 0
Let g(a) be the second derivative of -a**4/3 - 174*a**3 - 2560*a**2 + 758*a - 4. Factor g(y).
-4*(y + 5)*(y + 256)
Let m(j) be the first derivative of -8*j + 1/4*j**4 + 23 + j**2 + 5/3*j**3. Suppose m(n) = 0. Calculate n.
-4, -2, 1
Suppose -14005 = 7180*k - 9981*k. Let -2/9*t - 4/9 + 44/9*t**3 + 8/3*t**2 + 28/9*t**4 + 2/3*t**k = 0. Calculate t.
-2, -1, 1/3
Let q(h) be the third derivative of -h**6/600 + 33*h**5/100 - 49*h**4/60 + 44*h**2 - 14. Determine v, given that q(v) = 0.
0, 1, 98
Suppose 1050*l = 1044*l + 12. Let w(n) be the third derivative of 0*n**3 + 0*n - 3*n**l - 1/108*n**4 + 1/270*n**5 + 0. Factor w(f).
2*f*(f - 1)/9
Let h(p) be the first derivative of -9*p**6/2 - 144*p**5/5 - 219*p**4/4 - 6*p**3 + 54*p**2 - 24*p - 3181. Suppose h(o) = 0. What is o?
-2, 1/3
Let d(s) = -64*s**3 + 56*s**2 - 156*s - 228. Let p(n) = -54*n**3 + 56*n**2 - 156*n - 226. Let t(a) = 5*d(a) - 6*p(a). Factor t(h).
4*(h - 9)*(h - 6)*(h + 1)
Let w(s) be the first derivative of 3/7*s**5 - 298 + 0*s + 1/14*s**6 - 225/7*s**2 - 93/28*s**4 - 185/7*s**3. Solve w(j) = 0 for j.
-5, -1, 0, 6
Let a be (-3 - -4 - (-2225)/(-175))*(-5)/(30/14). Determine j, given that 8 - 77/3*j + 4/3*j**4 + 23/3*j**3 - a*j**2 = 0.
-8, -1, 1/4, 3
Let j = 388 - 368. Let y be (j/25)/((-110)/(-75)). Factor 8/11*m**2 - 2/11*m**3 - y*m + 0.
-2*m*(m - 3)*(m - 1)/11
Let g(l) be the first derivative of 3*l**5/5 - 3597*l**4/2 + 1917600*l**3 - 767996403*l**2 + 1530247197*l + 2281. Find p such that g(p) = 0.
1, 799
Let y(b) = -2*b**3 + 94*b**2 + 6*b - 106. Let q(i) = -3*i**3 + 188*i**2 + 10*i - 209. Let d(k) = -4*q(k) + 7*y(k). Determine a so that d(a) = 0.
-47, -1, 1
Let m(w) = -w - 10. Let p be m(-21). Factor 25*v + 10*v**2 - 19 - p - 5*v**2.
5*(v - 1)*(v + 6)
Let h(t) = 4*t**4 + 100*t**3 - 48*t**2 - 676*t + 980. Let i(b) = 2*b**3 - b + 1. Let k(y) = h(y) - 20*i(y). Factor k(p).
4*(p - 2)**2*(p + 4)*(p + 15)
Let n(i) = -29*i**2 - 224*i + 223. Let v(r) = 15*r**2 - r + 1. Let l(a) = -3*n(a) - 6*v(a). Suppose l(y) = 0. What is y?
1, 225
Let l(o) be the third derivative of 169*o**2 + 0*o**3 + 1/4*o**4 + 0*o + 1/160*o**6 + 0 + 3/40*o**5. Find r, given that l(r) = 0.
-4, -2, 0
Let r(c) be the second derivative of c**4/6 - 370*c**3/3 + 34225*c**2 - 598*c. Factor r(b).
2*(b - 185)**2
Suppose 26*w - 17*w = 72. Factor -36*f - w*f**2 - 27 - 49*f - 26*f - 4*f**2.
-3*(f + 9)*(4*f + 1)
Let a = 55 + -79. Let k be (9/(-6))/(9/a). Factor 11*u - k*u**2 + 3*u**4 - 6*u**3 + u**2 - 5*u.
3*u*(u - 2)*(u - 1)*(u + 1)
Let i(f) = -f**2. Let s(l) = -5*l**2 - 4*l. Let z be ((-3)/9)/((-3)/9). Let q(r) = z*s(r) - 3*i(r). Factor q(o).
-2*o*(o + 2)
Let n(p) = p**2 - 28*p + 91. Let k be n(24). Let w be -3 + -15*k/15. Find o such that 4/3 + 13/3*o + o**w = 0.
-4, -1/3
Let o(u) be the second derivative of -u**7/21 + 247*u**6/45 - 401*u**5/15 + 53*u**4 - 475*u**3/9 + 79*u**2/3 - 786*u. What is d in o(d) = 0?
1/3, 1, 79
Let n(g) = -16*g**2 + 77*g + 60. Let j be ((-4)/5)/(8/(-300)). Let i(u) = -17*u - 6*u**2 - 3*u**2 + 56*u + j. Let k(d) = -11*i(d) + 6*n(d). Factor k(p).
3*(p + 1)*(p + 10)
Let n(z) be the third derivative of 4*z**2 - 5/6*z**5 - 12*z**3 - 7*z**4 + 0 + 0*z - 1/30*z**6. Factor n(i).
-2*(i + 6)**2*(2*i + 1)
Suppose 10*c - 118 - 32 = 0. Find v, given that 60 - 40*v**2 - c*v**2 + 9*v**3 - 9*v - 2*v**2 + 57*v = 0