e 4*z + 4600 = 12*z. Solve 600 + b**3 - 9*b**2 + 0*b**3 - z + 15*b = 0.
-1, 5
Let o(h) = 3*h**3 - 17*h**2 + 25*h - 1. Suppose 0 = 44*f - 54*f + 30. Let v be o(f). Factor 3/7*x - 1/7*x**3 - 2/7 + 0*x**v.
-(x - 1)**2*(x + 2)/7
Suppose 180/7 - 2/7*p**2 + 178/7*p = 0. What is p?
-1, 90
Let o(m) be the first derivative of m**4/3 - 32*m**3/3 - 110*m**2/3 + 104*m + 6920. Determine p, given that o(p) = 0.
-3, 1, 26
Let l(f) = 2*f**2 + 2*f - 21. Let i be l(-5). Let y(g) be the first derivative of 5/4*g**2 - i + 0*g + 5/12*g**3 - 5/16*g**4. Suppose y(k) = 0. What is k?
-1, 0, 2
Let r(z) = z**2. Let n(k) = -32*k**2 + 140*k + 36. Suppose 0 = -3*j + 12, 2*m + 4*j - 32 = -14. Let p(q) = m*n(q) + 16*r(q). Determine o, given that p(o) = 0.
-1/4, 9
Let n(v) be the first derivative of v**6/21 - 4*v**5/5 + 5*v**4 - 304*v**3/21 + 145*v**2/7 - 100*v/7 + 281. Find l such that n(l) = 0.
1, 2, 5
Suppose -9333*z + 9203*z = 0. Solve 2/7*t**4 + 0*t**3 + 0 - 2/7*t**5 + 0*t + z*t**2 = 0 for t.
0, 1
Let z(f) = -f**2 + 4*f + 21. Let y be z(-3). Let b(o) be the first derivative of 10/3*o**3 + o**5 + y*o**2 + 0*o + 2 - 15/4*o**4. What is p in b(p) = 0?
0, 1, 2
Let r(v) be the first derivative of -v**4 - 12*v**3 - 12*v**2 + 64*v - 5265. Factor r(i).
-4*(i - 1)*(i + 2)*(i + 8)
Suppose 9988*x**2 + 6986*x - 3938*x - 44*x**5 + 7076*x**3 - 52 + 1020*x**4 - 876 = 0. Calculate x.
-4, -1, 2/11, 29
Let j = 13279/6 + -2213. Let r(f) be the second derivative of 10*f + 0 - 1/3*f**2 - 1/36*f**4 - j*f**3. Find o, given that r(o) = 0.
-2, -1
Let w = -11897 + 11899. Suppose 8/3 - 52/3*s + 8*s**w = 0. What is s?
1/6, 2
Let t be (-1*198/(-7))/(16/112). Let h = 200 - t. Solve 0 - 4/5*y**h + 2/5*y + 2/5*y**3 = 0 for y.
0, 1
Let a(j) be the first derivative of j**5/55 - 63*j**4/44 - 265*j**3/33 - 201*j**2/22 - 7355. Factor a(v).
v*(v - 67)*(v + 1)*(v + 3)/11
Factor -92*t**2 + 32*t**2 + 8*t**2 - 196*t + 25*t**2 + 23*t**2 + 624.
-4*(t - 3)*(t + 52)
Let t(q) = -42*q - 838. Let g be t(-20). Let v(j) be the second derivative of -1/90*j**5 - 11*j + 0*j**g + 0 + 0*j**4 + 0*j**3. Factor v(n).
-2*n**3/9
Let f(b) be the first derivative of 1/8*b**4 + 3/2*b**3 + 32*b + 0*b**2 + 9. Let p(r) be the first derivative of f(r). Factor p(n).
3*n*(n + 6)/2
Let l(i) be the third derivative of -i**5/72 - i**4/16 + 9*i**3 - i**2 + 3236*i. Factor l(o).
-(o + 9)*(5*o - 36)/6
Let t(p) be the third derivative of 0*p - 16*p**2 + 17/8*p**4 + 0*p**3 + 1/20*p**5 + 0. Factor t(s).
3*s*(s + 17)
Let y(u) be the first derivative of u**8/168 + u**7/21 + u**6/20 - u**5/6 - u**4/3 + u**2 - 47*u - 15. Let j(x) be the second derivative of y(x). Factor j(w).
2*w*(w - 1)*(w + 1)**2*(w + 4)
Let c(z) = 5*z**2 + 52*z + 59. Let w = -39 - -43. Let i(h) = -5*h**2 - 54*h - 58. Let y(g) = w*i(g) + 3*c(g). Suppose y(b) = 0. Calculate b.
-11, -1
Suppose -203 - 35 = 7*p. Let f be (p/85)/(62/(-30) + 1). Factor 24 + f*s**2 + 6*s.
3*(s + 8)**2/8
Let p(q) be the third derivative of -4*q**2 + 1/4*q**5 - 5/24*q**4 + 0 - 5/3*q**3 + 1/24*q**6 - 12*q - 1/42*q**7. Factor p(a).
-5*(a - 2)*(a - 1)*(a + 1)**2
Let m(k) be the third derivative of 2*k**7/315 - 43*k**6/180 + 8*k**5/45 + 103*k**4/36 + 14*k**3/3 + 1567*k**2. Find y, given that m(y) = 0.
-1, -1/2, 2, 21
Let x be (1*(-27)/30)/(-3 + 27/15). Let s(n) be the first derivative of 0*n - 2*n**3 + x*n**4 - 20 + 3/2*n**2. Solve s(c) = 0 for c.
0, 1
Let g(p) be the second derivative of -16/105*p**6 + 0*p**2 - 128/21*p**4 - 63 - 48/35*p**5 - 256/21*p**3 - p - 1/147*p**7. Determine w so that g(w) = 0.
-4, 0
Let o(d) be the second derivative of 3*d**5/100 + 183*d**4/5 - 1467*d**3/10 + 1101*d**2/5 - 2*d - 1938. Suppose o(k) = 0. Calculate k.
-734, 1
Let h(m) be the second derivative of -m**7/14 + m**6/2 + 21*m**5/20 - 5*m**4/4 - 3*m**3 - 459*m - 2. What is l in h(l) = 0?
-1, 0, 1, 6
Let l be (-27)/(-12) + 220/80. Let n(x) be the first derivative of 0*x + 63/20*x**l + 13 + 87/16*x**4 + x**3 - 3/2*x**2. Suppose n(h) = 0. Calculate h.
-1, -2/3, 0, 2/7
Let b be ((-20)/(-3))/(24/9 - 2). Let p be (-4)/b - 1518/(-2145). Factor 0*d + 0 - p*d**2 - 2/13*d**3 + 2/13*d**4.
2*d**2*(d - 2)*(d + 1)/13
Suppose -4*l - 2*s + 40 = 4, 0 = 4*l + s - 40. Suppose -8*y + 21 = -l. Factor -12/5*b**3 - 8/5 + 4/5*b**y + 12/5*b + 4/5*b**2.
4*(b - 2)*(b - 1)**2*(b + 1)/5
Let o = -3946 - -3973. Let y(p) be the third derivative of -3/10*p**5 + 0*p + 0 - 11/12*p**4 - 2/3*p**3 - o*p**2. Solve y(x) = 0.
-1, -2/9
Let l(w) be the first derivative of -w**4/8 - w**3/6 + 105*w**2/2 + 3767. What is h in l(h) = 0?
-15, 0, 14
Let o(d) = 4*d**3 - 70*d**2 + 535*d - 1272. Let u(x) = 17*x**3 - 283*x**2 + 2140*x - 5087. Let f(k) = -13*o(k) + 3*u(k). Factor f(c).
-(c - 51)*(c - 5)**2
Let c(o) be the third derivative of o**5/140 - 13*o**4/56 - 24*o**3/7 - 2835*o**2. Let c(i) = 0. What is i?
-3, 16
Factor -17/4*u**2 - 19/4*u**4 + 0*u + 0 - 35/4*u**3 - 1/4*u**5.
-u**2*(u + 1)**2*(u + 17)/4
Factor 2/15*j**5 + 2455328/15*j + 815488/5*j**2 - 736/5*j**4 + 604976/15*j**3 + 0.
2*j*(j - 554)**2*(j + 2)**2/15
Let o(k) = 6*k**2 + k + 1. Let s(t) = 34*t**2 - 86*t - 1034. Let z(u) = 6*o(u) - s(u). Factor z(n).
2*(n + 20)*(n + 26)
Let f(n) be the third derivative of -n**5/360 - 14*n**4/9 + 25*n**3/4 + 2*n**2 - 1733. Determine g, given that f(g) = 0.
-225, 1
Let t(i) be the first derivative of -16*i**3 - 66 - 16*i + 5*i**4 + 24*i**2 - 3/5*i**5. Factor t(g).
-(g - 2)**3*(3*g - 2)
Factor -528/17*y**4 + 2/17*y**5 + 0*y**2 + 0*y + 1048/17*y**3 + 0.
2*y**3*(y - 262)*(y - 2)/17
Let p(f) = -65*f**2 + 60*f. Let n(i) = -9*i**2 - 12*i**2 + 10*i + 10*i**2. Let a(o) = 35*n(o) - 6*p(o). Let a(k) = 0. Calculate k.
0, 2
Let f(p) be the third derivative of 0*p + 1/15*p**5 - 2*p**4 + 24*p**3 - 6 + 3*p**2. Factor f(s).
4*(s - 6)**2
Let q = 5 - 3. Let y be (-15)/(-10)*((-1)/3)/(17/(-49 - -32)). Let -p**q - y*p + 0 - 1/2*p**3 = 0. Calculate p.
-1, 0
Suppose 15 = i + 11. Suppose i*s + 4*m - 120 = 0, -20*s + 134 = -15*s + m. Factor -2*b**4 - 2*b**5 + 36*b**3 + 6*b**2 - s*b**3 + 2*b**4 + 2*b**4.
-2*b**2*(b - 3)*(b + 1)**2
Let y = -787/40 - 13963/40. Let p = 369 + y. Let 0 - 1/4*c**2 + 1/4*c**4 + p*c**3 + 0*c - 1/4*c**5 = 0. What is c?
-1, 0, 1
Let l(s) be the second derivative of -s**6/135 - 17*s**5/30 - 40*s**4/3 - 64*s**3 - 16*s. Solve l(h) = 0 for h.
-24, -3, 0
Let a be 54 - (-51 - -103) - 36/30. Find m, given that -2/5*m**2 + a*m + 6/5 = 0.
-1, 3
Solve 181276*l**4 + 11154*l**3 + 10443*l - 180916*l**4 + 37*l**5 + 21240*l**2 - 34*l**5 = 0.
-59, -1, 0
Let w(b) be the second derivative of b**6/600 - b**5/300 + 77*b**2/2 + 50*b. Let n(g) be the first derivative of w(g). Factor n(a).
a**2*(a - 1)/5
Suppose 0 = 2*w + c - 3, -256 + 246 = -3*w + 4*c. Find a, given that -4*a + 4/5 - 5*a**4 + 4*a**3 + 21/5*a**w = 0.
-1, 2/5, 1
Let x = -3461 + 5421. Determine t so that t**3 - 59*t**2 + x - 5*t**3 - 71*t**2 - t**3 - 700*t = 0.
-14, 2
Solve 432/5*l**2 - 3/5*l**5 + 0*l + 297/5*l**3 - 138/5*l**4 + 0 = 0 for l.
-48, -1, 0, 3
Let z(w) = -15*w**2 - 510*w + 505. Let k(l) = -2*l**2 - 73*l + 72. Suppose 9*h = 79 - 52. Let c(b) = h*z(b) - 20*k(b). Find u, given that c(u) = 0.
-15, 1
Let a = -47 - -65. Let b(c) = -c**2 + 19*c - 14. Let u be b(a). Suppose 3*x**4 + x**u + 86*x**3 + 38*x**4 - 6*x - 6 + 2 + 42*x**2 = 0. What is x?
-1, -1/3, 2/7
Let q be 53/(27030/(-20))*-289. Solve -1/3*t**2 - 289/3 - q*t = 0 for t.
-17
Let u(p) be the second derivative of p**7/42 - 3*p**6/10 - 5*p**5/4 + 11*p**4/4 + 22*p + 5. Factor u(j).
j**2*(j - 11)*(j - 1)*(j + 3)
Suppose 8*y = -y - 6*y + 60. Solve 185/4*g**2 - 105/4*g**3 + 5*g**y - 30*g + 5 = 0.
1/4, 1, 2
Let q(h) be the first derivative of -h**3 - 21*h**2/2 - 36*h + 553. Suppose q(f) = 0. Calculate f.
-4, -3
Suppose 709*q - 372*q - 29 - 367*q - q**2 = 0. What is q?
-29, -1
Suppose 0 = 43*b - 46*b + 90. Suppose 4*d**4 + 4*d**3 + d - 4*d**2 + 11*d + 14*d**3 - b*d**3 = 0. Calculate d.
-1, 0, 1, 3
Suppose 37*p - 138*p - 3*p**5 - 6*p**4 + 53*p - 96 + 51*p**3 + 102*p**2 = 0. What is p?
-4, -2, -1, 1, 4
Let a be ((-4)/3)/(336/(-2799504)). Let v = a - 11086. Factor -v*y + 18*y**2 - 38/7*y**3 + 4/7*y**4 + 54/7.
2*(y - 3)**3*(2*y - 1)/7
Let f(l) be the third derivative of -l**8/84 + 13*l**7/105 - l**6/15 - 13*l**5/30 + l**4/2 - 7*l**2 - 112*l. Suppose f(v) = 0. Calculate v.
-1, 0, 1/2, 1, 6