*2 + 157*a**3 + 135 - 6*a.
-5*(a - 3)*(a + 3)**2
Let 33/2*p + 0 - 15/2*p**3 + 39/4*p**2 - 3/4*p**4 = 0. What is p?
-11, -1, 0, 2
Let n(j) be the second derivative of -j**7/168 - 21*j**6/40 + 67*j**5/80 + 191*j**4/48 - 11*j**3/4 - 16*j**2 + 4619*j + 1. Let n(b) = 0. What is b?
-64, -1, 1, 2
Factor 1/3*g**3 - 328/3 - 50/3*g**2 + 377/3*g.
(g - 41)*(g - 8)*(g - 1)/3
Let c = 586091/8 + -73216. Suppose -33/4*b - c - 3/8*b**2 = 0. Calculate b.
-11
Let b = -1247 + 18721/15. Let s(v) be the first derivative of -b*v**3 + 1/5*v**4 + 8/5*v**2 + 0*v + 7. Suppose s(n) = 0. What is n?
0, 2
Let f(d) = -d**3 - 10*d**2 - 3*d + 6. Let q(u) be the first derivative of u**3/3 + u**2/2 - 89. Let b(s) = -f(s) - 4*q(s). Suppose b(c) = 0. Calculate c.
-6, -1, 1
Let t(u) be the first derivative of -u**6/480 - 19*u**5/240 - 33*u**4/32 - 27*u**3/8 - u**2 - 103. Let z(x) be the second derivative of t(x). Factor z(j).
-(j + 1)*(j + 9)**2/4
Suppose -28/13*g + 2/13*g**2 + 66/13 = 0. Calculate g.
3, 11
Let y(j) be the first derivative of j**3/3 - j**2/2 + j - 65. Let o(s) = 6*s**3 + 20*s**2 + 7*s + 8. Let i(c) = o(c) - 5*y(c). Factor i(p).
3*(p + 1)**2*(2*p + 1)
Let b(t) be the second derivative of -3/2*t**2 + t + 33 - 1/16*t**4 - 5/8*t**3. Factor b(l).
-3*(l + 1)*(l + 4)/4
Let l(y) be the second derivative of -y**4/72 - 49*y**3/12 + 37*y**2/3 + 2613*y. Let l(n) = 0. What is n?
-148, 1
Let r(o) be the third derivative of o**5/150 + 49*o**4/30 - 101*o**3/5 - 3476*o**2. Suppose r(a) = 0. What is a?
-101, 3
Determine f so that 136/13*f**2 + 202/13*f + 2/13*f**5 - 204/13*f**3 + 32/13*f**4 - 168/13 = 0.
-21, -1, 1, 4
Let k(u) = 2*u**2 + 0*u**2 + 25 + 6*u - u**2 + 17*u. Let j be k(-22). Factor -j*l**2 - 4*l**5 - 13*l**3 + l**5 - 9*l**4 + 4*l**3.
-3*l**2*(l + 1)**3
Let f(o) be the third derivative of o**5/20 + 21*o**4/4 + 985*o**2. Find z, given that f(z) = 0.
-42, 0
Let v(p) be the first derivative of 2/3*p**3 + 44*p - 23*p**2 + 84. Factor v(d).
2*(d - 22)*(d - 1)
Let q(o) be the first derivative of -o**5/30 + 2*o**4 - 119*o**3/3 + 1078*o**2/3 - 3087*o/2 + 2878. What is d in q(d) = 0?
7, 27
Let v(n) be the second derivative of n**5/10 - 76*n**4/3 - 1264*n**3/3 - 2560*n**2 + 2267*n - 1. Factor v(k).
2*(k - 160)*(k + 4)**2
Let u(x) = -114*x**2 - 882*x + 51. Let c(a) = -227*a**2 - 1764*a + 101. Let g(s) = 3*c(s) - 5*u(s). Determine k, given that g(k) = 0.
-8, 2/37
Let o(u) be the second derivative of -u**4/21 - 932*u**3/21 - 930*u**2/7 - 198*u - 3. Determine b so that o(b) = 0.
-465, -1
Let q = -93 + 95. Let 7*t + 8*t + 5*t**5 + 6 - 20*t**3 + 10*t**q - 16 = 0. What is t?
-2, -1, 1
Let f(z) be the second derivative of -z**5/12 - 23*z**4/24 + 5*z**3/3 - 19*z**2/2 - 106*z. Let c(a) be the first derivative of f(a). Factor c(b).
-(b + 5)*(5*b - 2)
Let k be (-2)/(-8) - (4/(-60))/((-8)/14). Let s(t) be the third derivative of 0*t**4 + 0*t - 11*t**2 + 0 - k*t**3 + 1/300*t**5. Let s(i) = 0. Calculate i.
-2, 2
Let x(h) be the third derivative of h**7/735 - 3*h**6/140 + 2*h**5/21 - h**4/7 - 12*h**2 + 5*h - 17. Solve x(y) = 0.
0, 1, 2, 6
Let l = -150/3331 + 8912/49965. Let 0 - 4/15*j**3 - 8/15*j - 14/15*j**2 + l*j**4 = 0. Calculate j.
-1, 0, 4
Let l be 3/(-15) - (-850)/2. Let z = l + -424. Suppose -12/5*b - 8/5 - z*b**2 = 0. Calculate b.
-2, -1
Let w be 7*2 - (-6)/3. Let l = 0 + w. Factor 2*r**3 - 4*r**3 + r**4 - 7*r**2 + 12*r - l*r.
r*(r - 4)*(r + 1)**2
Let h(b) = -3164*b**2 - 3144*b + 2. Let m(t) = 1580*t**2 + 1572*t. Let r(d) = 4*h(d) + 9*m(d). Suppose r(v) = 0. What is v?
-1, -2/391
Let p(d) be the third derivative of -d**7/6720 + d**6/2880 + d**5/192 + d**4/64 - 25*d**3/3 + d**2 + 3*d. Let m(a) be the first derivative of p(a). Factor m(i).
-(i - 3)*(i + 1)**2/8
Let i(n) = 323*n**2 - 1617*n + 12. Let r be i(5). Factor -90 + 147*u - 317/5*u**r - 1/5*u**4 + 33/5*u**3.
-(u - 15)**2*(u - 2)*(u - 1)/5
Let s = -354443 - -354443. What is o in 0 + 4*o**3 + s*o**2 - 16/3*o + 4/3*o**4 = 0?
-2, 0, 1
Suppose 250*t + 484*t + 671*t - 172 = 2638. Solve 4/5*l**4 - 48*l + 20 - 48/5*l**3 + 184/5*l**t = 0 for l.
1, 5
Suppose -4*s + 642 + 215 = 3*y, s + 4*y = 224. Let n be (3/36*10)/(795/s). Find g, given that 2/3*g + n*g**2 - 20/9 = 0.
-5, 2
Let t(r) = -42*r + 91. Let y be t(-17). Factor y*h**2 - 16*h - h - 15*h - 801*h**2.
4*h*(h - 8)
Suppose -7*h = -3*h + 640. Let i be h/(-15) + -3 + -7. Let i - 2/3*n**2 + 1/3*n**3 - 1/3*n = 0. Calculate n.
-1, 1, 2
Let m(v) = -9*v**4 + 117*v**3 + 839*v**2 - 942*v + 90. Let s(w) = 4*w**4 - 58*w**3 - 420*w**2 + 472*w - 36. Let j(i) = -4*m(i) - 10*s(i). Factor j(h).
-4*h*(h - 34)*(h - 1)*(h + 7)
Let j(x) be the second derivative of 47/75*x**6 + 90*x + 3/50*x**5 - 36/5*x**2 - 151/30*x**4 - 148/15*x**3 + 0 + 1/21*x**7. Let j(t) = 0. What is t?
-9, -1, -2/5, 2
Suppose 4*f + 208 = 20. Let k = -43 - f. Factor -106*z + 106*z - 4*z**3 + k*z**2.
-4*z**2*(z - 1)
Let z(b) be the second derivative of -b**4/32 - b**3/8 + 45*b**2/16 - 4*b + 944. Factor z(p).
-3*(p - 3)*(p + 5)/8
Let y = -212/11 - -13736/715. Let f = y + 1373/130. Determine p so that 3/2*p**2 - f*p + 0 = 0.
0, 7
Let u(n) be the second derivative of 5*n**7/42 - n**6/6 - n**5/2 + 5*n**4/6 + 5*n**3/6 - 5*n**2/2 + 2707*n. Factor u(j).
5*(j - 1)**3*(j + 1)**2
Determine f, given that -63/2*f**4 + 261/2*f**3 - 2178*f + 1155/2*f**2 + 3/2*f**5 + 0 = 0.
-4, 0, 3, 11
Let o(g) be the first derivative of 5*g**6/9 + 176*g**5/45 + 41*g**4/6 - 52*g**3/9 - 172*g**2/9 + 16*g/3 - 6329. Let o(t) = 0. Calculate t.
-3, -2, 2/15, 1
Let f = -169687 + 339383/2. Determine a so that f*a**4 + 13107/8*a**2 - 1083/8 - 1371/8*a**3 - 969/8*a = 0.
-1/4, 1/3, 19
Let w(q) be the first derivative of q**6/3 - 2*q**5/5 - 11*q**4 + 80*q**3/3 - 525. Factor w(v).
2*v**2*(v - 4)*(v - 2)*(v + 5)
Suppose 1/7*x**2 + 554/7 - 279/7*x = 0. Calculate x.
2, 277
Let s = -4209 - -147331/35. Let b = 3/70 + s. Factor 1 - 3/2*y**2 + b*y**3 - 1/2*y + 1/2*y**4.
(y - 1)**2*(y + 1)*(y + 2)/2
Let g(x) be the first derivative of -x**6/8 + 13*x**5/40 + x**4/4 - 59*x**3 + 55. Let a(l) be the third derivative of g(l). Factor a(r).
-3*(r - 1)*(15*r + 2)
Let g(c) be the third derivative of c**8/112 - c**7/14 - 3*c**6/40 + 13*c**5/20 + 5*c**4/4 - c**2 + 88. Let g(b) = 0. What is b?
-1, 0, 2, 5
What is r in -64/13*r + 2/13*r**2 + 0 = 0?
0, 32
Let s(n) = 4*n**2 - 32*n + 36. Let q = 211 - 207. Let j(b) = -4*b**2 + 31*b - 37. Let i(y) = q*j(y) + 5*s(y). Factor i(g).
4*(g - 8)*(g - 1)
Let n(h) = 2*h**2 + 9*h + 14. Let c(g) = g**3 + 6*g**2 + 6*g + 1. Let d be c(-5). Let l be n(d). Solve -l*k + 13*k**2 - 58*k**3 - 38*k**2 + 43*k**3 = 0 for k.
-1, -2/3, 0
Let u = 2/286777 + 14338832/2580993. Determine a so that 0 - u*a**3 - 8/9*a**4 - 16/9*a - 76/9*a**2 = 0.
-4, -2, -1/4, 0
Let l(y) = 2*y + 43. Suppose -69 = 3*d - 15. Let f be l(d). Suppose -n**5 + f*n**2 - 4*n**2 + 3*n**5 - 2*n + n**4 - 6*n**3 - 10*n**2 = 0. Calculate n.
-1, -1/2, 0, 2
Let t(d) be the first derivative of 0*d**2 - 4*d**3 + 0*d - 1/30*d**5 + 1/270*d**6 + 0*d**4 + 2. Let f(x) be the third derivative of t(x). Factor f(p).
4*p*(p - 3)/3
Let w(y) be the second derivative of y**6/330 - 19*y**5/220 + 20*y**4/33 + 50*y**3/33 + 1637*y + 1. Factor w(h).
h*(h - 10)**2*(h + 1)/11
Suppose -144 + 108*j - 14*j**5 - 30*j**3 + 37*j**5 - 13*j**5 - 7*j**4 + 70*j**2 - 8*j**5 + j**4 = 0. Calculate j.
-3, -2, 1, 3, 4
Let b = -285 - -289. Suppose b*i = 4*l + 8, 2*i - i - 14 = -5*l. Solve 1/7*c**l + 0 + 0*c = 0.
0
Let u(h) = h**4 - 83*h**3 - 41*h**2 + 63*h. Let s(k) = 10*k**3 + k**2 + k. Let d(i) = 5*s(i) + u(i). Find g such that d(g) = 0.
-2, 0, 1, 34
Suppose -2/7*f**4 - 2048/7 - 72/7*f**3 - 776/7*f**2 - 2304/7*f = 0. Calculate f.
-16, -2
Let r be 14/(-7)*(-6 - -4). Factor 186*d**3 + 7*d**r - 195*d**3 - 4*d**4.
3*d**3*(d - 3)
Solve 3/8*c**2 + 1203/8*c - 603/4 = 0.
-402, 1
Factor -305*u - 201 + 206 - 165 + 5*u**2 - 150.
5*(u - 62)*(u + 1)
Factor 2/9*k**3 + 472 + 496/3*k + 142/9*k**2.
2*(k + 6)**2*(k + 59)/9
Suppose 64*i = 65 + 63. Solve -2/7 - 8/7*m**3 + 0*m**i + 6/7*m = 0.
-1, 1/2
Determine u so that -276/7*u**2 - 2/7*u**3 + 109520/7 - 7992/7*u = 0.
-74, 10
Suppose 230*f = 312 + 378. Let z(g) be the first derivative of 16 + 0*g**2 - 1/2*g**6 - 45/4*g**4 + 25*g**f - 27/5*g**5 + 0*g. Determine a so that z(a) = 0.
-5, 0, 1
Let l(b) = b**2 + 54*b - 295. 