t is y in o(y) = 0?
1, 2
Determine a, given that 0 + 374*a - 144/5*a**2 + 2/5*a**3 = 0.
0, 17, 55
Suppose 302*x = 315*x. Let f(z) be the third derivative of -9*z**2 + 0 - 1/30*z**4 - 1/150*z**5 + 1/150*z**6 + x*z + 1/15*z**3. Solve f(v) = 0 for v.
-1, 1/2, 1
Let k(a) = 15*a - 101. Suppose -37*i = -16*i - 147. Let r be k(i). Factor 0 - 2*s**r - 4*s**3 - 1/4*s**5 + 0*s**2 + 0*s.
-s**3*(s + 4)**2/4
Let a(m) be the first derivative of 28*m**5/5 + 78*m**4 + 192*m**3 + 164*m**2 + 36*m + 185. Factor a(q).
4*(q + 1)**2*(q + 9)*(7*q + 1)
Let t = 40 + -37. Suppose 2 = -4*h + 10, 3*h - 24 = -t*s. Determine p, given that -10*p**2 - 4*p + 8 - s*p - p - 5*p = 0.
-2, 2/5
Let k(b) be the third derivative of 0*b - 1/140*b**6 + 1/735*b**7 + 1/1176*b**8 + 0*b**3 - 1/210*b**5 - 104*b**2 + 1/42*b**4 + 0. Let k(p) = 0. What is p?
-2, -1, 0, 1
Let z(w) = -18*w**3 - 30*w**2 - 3*w. Let s(i) = -59*i**2 + 250*i - 255*i - i**4 - 43*i**3 + 7*i**3. Let g(a) = 3*s(a) - 5*z(a). Factor g(p).
-3*p**2*(p + 3)**2
Let z(h) be the second derivative of h**8/5600 - h**7/2700 - h**6/2700 - 17*h**4/3 + 106*h. Let l(i) be the third derivative of z(i). Factor l(u).
2*u*(u - 1)*(9*u + 2)/15
Let l(h) be the first derivative of -h**4/10 + 18*h**3 - 134*h**2/5 - 6120. Suppose l(r) = 0. What is r?
0, 1, 134
Let l = 69724 + -69719. Determine j, given that 14/3*j**3 + 0 - 4*j - 2/3*j**l - 10/3*j**2 + 10/3*j**4 = 0.
-1, 0, 1, 6
Let y(l) = l**3 + 477*l**2 - 6904*l - 14726. Let k be y(-491). Factor k*n - 15/2 - 1/2*n**2.
-(n - 5)*(n - 3)/2
Factor 2/7*d**3 + 738/7*d + 1080/7 + 132/7*d**2.
2*(d + 3)**2*(d + 60)/7
Suppose -48*q = -4*c - 53*q + 41, -4*c - q + 21 = 0. Let -800/3*i + 4/3*i**5 + 2000/3 + 44/3*i**c + 76/3*i**3 - 460/3*i**2 = 0. Calculate i.
-5, 2
Let d be ((-9)/6)/(7/(-28)). Factor -m + 42*m**2 - 25*m**2 - 18*m**2 + d*m - 6.
-(m - 3)*(m - 2)
Suppose 1/2*i**3 - 34328125/2 + 316875/2*i - 975/2*i**2 = 0. Calculate i.
325
Let m(j) = -602*j**2 + 6630*j - 88. Let l be m(11). Factor 2/3*q**5 + 0*q**3 + 0 - 2/3*q**4 + 0*q + l*q**2.
2*q**4*(q - 1)/3
Let o = 81 + -78. Factor 9*i + 23*i + 190*i**2 + 4*i**o - 166*i**2.
4*i*(i + 2)*(i + 4)
Let d be (1216/9120)/((-4)/(-5)). Let g(k) be the second derivative of -1/48*k**4 - 2*k + 5/8*k**2 + d*k**3 - 28. Factor g(p).
-(p - 5)*(p + 1)/4
Let o be (-99)/(-15) - (-11 + -4 - -20 - 0). Factor -o*k + 0 + 0*k**2 - 2/5*k**4 + 6/5*k**3.
-2*k*(k - 2)**2*(k + 1)/5
Let i(n) = 4*n**3 - 435*n**2 + 749*n + 3. Let m be i(107). Find k such that -128*k**5 - 88*k**m + 18*k**2 + 544/3*k**4 + 0 - 4/3*k = 0.
0, 1/4, 2/3
Let z(l) = -722*l + 274. Let n be z(11). Let q be n/(-2835) - -1*2/(-15). Factor q - 12/7*v + 2/7*v**2.
2*(v - 3)**2/7
Let v(p) be the third derivative of -p**5/60 - 11*p**4/12 - 7*p**3 - 18*p**2. Let q be v(-14). Let g**3 - q*g**2 + 60*g**2 + 4*g**3 + 5*g = 0. What is g?
0, 1
Let x = -3514 + 3516. Let h(q) be the first derivative of 4*q**2 - 28/5*q**5 + 28/3*q**3 + 0*q - 15 - x*q**4. Find y such that h(y) = 0.
-1, -2/7, 0, 1
Let s = -103/1878 + 5111/1878. Factor 19/3*a**2 - 10*a - a**3 + s.
-(a - 4)*(a - 2)*(3*a - 1)/3
Let c(b) = 42*b + 26. Let p(s) = 2*s**2 - 85*s - 47. Let y(l) = -5*c(l) - 2*p(l). Factor y(o).
-4*(o + 1)*(o + 9)
Solve -54515*k**3 - k**2 + 54517*k**3 - 24*k + 3*k**2 = 0 for k.
-4, 0, 3
Let i = -84783 + 84785. Factor 1/2*j + 3/8 + 1/8*j**i.
(j + 1)*(j + 3)/8
Solve -2*d**2 - 35 + 6*d**2 + 11 + 50*d - 76 + d**3 - 3*d**3 = 0.
-5, 2, 5
Let h be 28/195*((-434)/21 - -19). Let l = 3182/585 + h. Suppose -2/5*u**4 - 128/5 - l*u**3 - 224/5*u - 24*u**2 = 0. Calculate u.
-4, -1
Factor -888*a**2 + 15*a + 14 + 4 - 884*a**2 + 1775*a**2.
3*(a + 2)*(a + 3)
Suppose 0 = 5*a - 5*d - 4180, -2533 = -3*a - d - d. Let p = 844 - a. Factor 0 + 1/6*l**p - 2/3*l - 1/2*l**2.
l*(l - 4)*(l + 1)/6
Let j(y) be the first derivative of y**6/40 - 63*y**5/10 + 1323*y**4/2 - 37044*y**3 - 102*y**2 + 327. Let k(q) be the second derivative of j(q). Factor k(d).
3*(d - 42)**3
Let i(s) be the first derivative of s**2 + 108 + 8/3*s**3 + 4/5*s**5 + 5/2*s**4 + 0*s. Factor i(k).
2*k*(k + 1)**2*(2*k + 1)
Let u(o) be the third derivative of 4*o**2 + 1/64*o**4 - 6 - 1/320*o**6 + 5/32*o**5 + 0*o - 25/16*o**3. Factor u(s).
-3*(s - 25)*(s - 1)*(s + 1)/8
Factor 86/7*f**2 + 0 + 0*f + 2/7*f**4 + 88/7*f**3.
2*f**2*(f + 1)*(f + 43)/7
Let q(k) = 6*k**2 + 344*k - 318. Let i be ((-40)/5)/8 - (-1 - 3). Let x(t) = t**2 + 69*t - 64. Let u(s) = i*q(s) - 16*x(s). Factor u(g).
2*(g - 35)*(g - 1)
Suppose -12 = 4*t + 2*x, -4*t + 18 = -t - 3*x. Let f(p) be the first derivative of 0*p**3 + 4/55*p**5 + t*p - 1/33*p**6 + 0*p**2 - 1/22*p**4 + 18. Factor f(m).
-2*m**3*(m - 1)**2/11
Let l be 196/50 - 2 - (-4)/50. Factor 0*y + 2/25*y**4 - 2/5*y**3 - 12/25*y**l + 0.
2*y**2*(y - 6)*(y + 1)/25
Let i be 15072216/145565 + (-15)/7. Solve -351/5*s**4 - 324/5*s**2 + 1158/5*s**3 - i*s**5 + 24/5*s + 0 = 0.
-2, 0, 2/13, 1
Let y = 352854 - 58573513/166. Let h = y + -1/83. Factor -9/8*f - h + 3/8*f**2.
3*(f - 4)*(f + 1)/8
Let t(z) = 13*z**2 - 63*z + 315. Let l(o) = -6*o**2 - 140 - 35 + 32*o + 17. Let x(a) = -9*l(a) - 4*t(a). Find r, given that x(r) = 0.
9
Determine r, given that -55 + 67/2*r - 1/2*r**3 - 2*r**2 = 0.
-11, 2, 5
Let o = -6838 + 17773. Suppose -85*m**3 + 14*m**3 + 1611*m**2 - 4916*m + 9*m**2 + o - 2374*m + 5*m**4 - 79*m**3 = 0. Calculate m.
3, 9
Let 22/5*h**2 + 332/5 - 366*h = 0. What is h?
2/11, 83
Let c = -2049603 + 2049633. Solve 2/3*d**3 + 144 - 126*d - 2/3*d**4 + c*d**2 = 0.
-8, 3
Let o be -1 - 2 - -3 - (2 - 4). What is b in -53 - 8*b**4 - 28*b**3 + 16*b + 23*b**2 + 53 - 3*b**o = 0?
-4, -1/2, 0, 1
Let a = -70/2133 - -51542/10665. Factor -a - 4*t - 4/5*t**2.
-4*(t + 2)*(t + 3)/5
Let q(o) be the first derivative of 3*o**4/8 + 471*o**3/2 + 41418*o**2 - 83544*o - 634. Factor q(c).
3*(c - 1)*(c + 236)**2/2
Let g(u) be the first derivative of 25/4*u**4 - u**5 - 110 + 35/2*u**2 - 15*u**3 - 10*u. Factor g(y).
-5*(y - 2)*(y - 1)**3
Let n be (25/(-3) + 12/36)/(1624/(-348)). Let -n + 68/7*h - 8*h**2 = 0. What is h?
3/14, 1
Let b(x) be the third derivative of -x**7/1155 - 7*x**6/660 + x**5/11 + 12*x**2 + 5*x. Factor b(y).
-2*y**2*(y - 3)*(y + 10)/11
Let v(r) be the second derivative of -3 - 15/4*r**4 + 1/6*r**6 - 16*r - 10*r**2 + 55/6*r**3 + 1/4*r**5. Determine k so that v(k) = 0.
-4, 1
Let j be (10/(-6))/(-105 - -122 - 3166/186). Suppose -25 - 5/2*v**4 + j*v - 165/2*v**2 + 65/2*v**3 = 0. Calculate v.
1, 10
Let j(w) be the second derivative of 3*w**5/20 + 23*w**4/4 - 53*w**3/2 - 225*w**2/2 + 2*w - 6228. Determine l so that j(l) = 0.
-25, -1, 3
Let m(v) be the third derivative of -1 - 28/165*v**5 - 53/132*v**4 - 1/165*v**6 + 0*v + 9*v**2 - 13/33*v**3. Solve m(x) = 0 for x.
-13, -1/2
Let j(n) be the first derivative of -3*n**4/16 - 25*n**3/12 + 9*n**2/4 - 2877. Determine z so that j(z) = 0.
-9, 0, 2/3
Let y(g) be the third derivative of g**7/735 - 37*g**6/105 - 299*g**5/210 - 25*g**4/14 + 1393*g**2. Factor y(u).
2*u*(u - 150)*(u + 1)**2/7
Let l(c) be the second derivative of c**7/280 - c**6/32 + c**5/20 + 52*c**2 + 57*c + 3. Let m(w) be the first derivative of l(w). Factor m(g).
3*g**2*(g - 4)*(g - 1)/4
Let z be (-476)/240 + 476/204. Let k(u) be the second derivative of 2*u**2 - 20*u + 2*u**3 - 3/4*u**4 + 0 - z*u**5. Determine i, given that k(i) = 0.
-2, -2/7, 1
Determine v so that -1012*v**4 + 513*v**4 - 3*v**5 + 561*v - 195 + 114*v**3 + 532*v**4 - 510*v**2 = 0.
-5, 1, 13
Let d be 134*(10/(-90))/((-4)/18). Suppose -35*y = -3 - d. Factor 0*g - 4/7*g**y + 0 - 2/7*g**3.
-2*g**2*(g + 2)/7
Factor 1/3*k + 517/3*k**2 - 517/3 - 1/3*k**3.
-(k - 517)*(k - 1)*(k + 1)/3
Let k be (-16)/(-22)*627/114 + -1 + (0 - 0). Find h such that 1/7*h**k - 1/7*h**2 - 20/7 - 16/7*h = 0.
-2, 5
Let p = 35 - 30. Suppose -p*k + 8 = -3*k. Factor -4*n**3 + 16*n + 0*n**4 - 2*n**k + 6*n**2 - 6*n - 2*n - 8.
-2*(n - 1)**2*(n + 2)**2
Determine s so that -32*s**4 - 790 + 1319*s**2 - 92*s**3 + 269 + 1385 - 1872*s + 4*s**5 - 191*s**2 = 0.
-6, 1, 6
Let g be ((-162)/(-126))/(2/14) + (-13 - 0 - -8). Factor -2795/2*w**2 - 45/4*w**g - 17745/4*w - 19773/4 - 1/4*w**5 - 375/2*w**3.
-(w + 3)**2*(w + 13)**3/4
Let w(z) be the third derivative of z**5/15 + 47*z**4/3 - 190*z**3/3 - 99*z**2 + 3*z. Find o such that w(o) = 0.
-95, 1
Let f = -136 + 152. Suppose -374*s + 15*s**3 