m).
-3*(m - 2)*(m + 1)**2*(m + 9)
Let u(b) be the first derivative of -1/16*b**4 + 0*b - 9/8*b**2 - 5/6*b**3 + 133. Factor u(s).
-s*(s + 1)*(s + 9)/4
Let n(y) = -215*y - 640. Let j be n(-3). Let v(g) be the second derivative of -1/34*g**4 + 0*g**2 + 9*g - 1/170*g**j + 0 - 2/51*g**3. Factor v(h).
-2*h*(h + 1)*(h + 2)/17
What is f in 224/3*f + 73 + 5/3*f**2 = 0?
-219/5, -1
Factor 24*t + 8*t**2 - 63*t - 5*t**3 + 38*t + t**3 - 24 + 21*t.
-4*(t - 3)*(t - 1)*(t + 2)
Let h(b) = -b**2 + 130*b - 3265. Let n be h(35). Factor -3/5*r**2 - n - 12*r.
-3*(r + 10)**2/5
Let y = -80 + 90. Let s be (-1 + 26)*8/y. Factor -20*i - s*i**4 - 4*i**5 - 40*i**3 - 5 + 1 - 46*i**2 + 6*i**2.
-4*(i + 1)**5
Let d(s) = 10*s + 100. Let c be d(-10). Let n(r) be the first derivative of 1/3*r**2 - 1/9*r**3 - 1 + c*r - 1/12*r**4. Factor n(v).
-v*(v - 1)*(v + 2)/3
What is v in -233*v**2 - 39675 - 95*v + 790720*v**3 - 790721*v**3 - 13820*v = 0?
-115, -3
Suppose h + 19 = 6*p + 2*h, -5*p = 4*h. Let y(b) be the third derivative of 19*b**2 + 0*b - 2/45*b**5 + 0*b**3 - 1/36*b**p + 0. Let y(k) = 0. What is k?
-1/4, 0
Suppose -133*v + 134*v = 120. Suppose 3*h**2 - h**2 + 10*h**2 - 17*h**2 + v + 50*h = 0. What is h?
-2, 12
Let s(q) be the second derivative of -q**2 + 1/150*q**5 - 29/45*q**3 + 9*q + 2 - 13/90*q**4. What is k in s(k) = 0?
-1, 15
Let o(s) = -4*s**2 - 516*s - 4760. Let p be o(-119). Factor p*q**2 + 0*q - 2/3*q**5 - 6*q**3 - 4*q**4 + 0.
-2*q**3*(q + 3)**2/3
Let i be 3 - (-44)/(-24) - 6/36. Let r(j) = 2*j**2 + 2*j. Let l(x) = 2*x**3 + 12*x**2 + 6*x + 4. Let v(c) = i*l(c) - 6*r(c). Find z such that v(z) = 0.
-2, 1
Let q(b) be the first derivative of -4*b**2 - 60*b + 17*b**3 - 8*b**2 - 41 - 67 - 16*b**3. What is t in q(t) = 0?
-2, 10
Let v(z) be the third derivative of z**9/1512 - 3*z**8/280 + 2*z**7/35 - 4*z**6/45 - 22*z**3/3 - 8*z**2. Let g(h) be the first derivative of v(h). Factor g(o).
2*o**2*(o - 4)**2*(o - 1)
Let y(q) = 7822*q - 109506. Let j be y(14). Factor 0*b - 1/5*b**4 + 6/5*b**j + 0 - 1/5*b**3.
-b**2*(b - 2)*(b + 3)/5
Let m = 4 + -3. Suppose 4*t - 5*x - 28 = 0, m = 2*t + 3*x + 9. Factor 2*j + 83*j**4 - 5*j**t + 9*j**3 - 11*j**3 - 78*j**4.
j*(j - 1)*(j + 1)*(5*j - 2)
Suppose -98*b + 105*b = -504. Let s be 2 + b/38 - 282/(-570). Factor 0 + 0*j**2 + 0*j**3 + s*j**4 + 0*j.
3*j**4/5
Suppose -r + 2*x = -4*r - 52, 5*r = -3*x - 85. Let v = -12 - r. Factor 6*j**2 - 2*j**2 - j**v.
3*j**2
Let x(z) be the first derivative of -3*z**5/5 + 171*z**4/4 - 1134*z**3 + 13122*z**2 - 52488*z + 799. Let x(i) = 0. What is i?
3, 18
Let h(v) be the second derivative of 1/15*v**5 + 0*v**3 + 0 - 6*v**2 + 16*v + 1/3*v**4. Let u(w) be the first derivative of h(w). Find d, given that u(d) = 0.
-2, 0
Let d = -498284 - -498504. Suppose -5/2*j**2 - 4840 + d*j = 0. Calculate j.
44
Let k(a) = -165*a**2 + 65*a - 25. Suppose -f + 84 = 3*f. Let t(s) = -5*s - 8*s**2 + f*s - 33*s**2 - 14 + 8. Let u(o) = -6*k(o) + 25*t(o). Factor u(h).
-5*h*(7*h - 2)
Let d be -10 - 16/((-288)/189). Let f(p) be the first derivative of d*p**2 - 1/3*p**3 + 8 + 2*p. Factor f(v).
-(v - 2)*(v + 1)
Let d = 20831 + -145816/7. Factor 8/7*g - 1 - d*g**2.
-(g - 7)*(g - 1)/7
Let n be ((-9925)/50)/(2/8). Let u = -794 - n. Let -1/5*m**2 + 1/5*m + u = 0. Calculate m.
0, 1
Let t(s) = 4*s**3 - 18*s - 2. Let c = 75 - 84. Let b(k) = -4*k - 42. Let l be b(c). Let y(p) = -p + 1. Let w(z) = l*y(z) + t(z). Factor w(m).
4*(m - 2)*(m + 1)**2
Let i = 553 + 912. Let v = 4459/3 - i. Find b, given that v*b - 52/3*b**4 - 20/3*b**5 + 64/3*b**3 - 64/3 + 224/3*b**2 = 0.
-2, -1, 2/5, 2
Let y = -25 - -31. Let g(b) = b**3 + b**2 + 46*b + 60. Let l = -33 - -38. Let t(n) = -45*n - 60. Let z(a) = l*g(a) + y*t(a). Factor z(v).
5*(v - 3)*(v + 2)**2
Let d = -8701 - -26491/3. Let k = 130 - d. What is n in 0 - k*n - 7/3*n**2 + 3*n**3 = 0?
-2/9, 0, 1
Suppose -27 = 25*f - 30*f - 4*n, -2*f - 3*n + 15 = 0. Let b be (15/(-2))/(4/(-16)). Suppose -b*z - 660 - 25*z**2 + 5*z**f + 660 = 0. Calculate z.
-1, 0, 6
Let i = -1255942/1295 + 321/259. Let r = 971 + i. Factor -2*l - 2/5*l**2 - r.
-2*(l + 2)*(l + 3)/5
Let c be 2 - -2 - -1384*(-3 + 5). Factor -12*a**3 + 16*a**2 + 8*a**4 - 2*a**3 - 2*a**5 - 4*a**3 + a**5 + 2767*a - c*a.
-a*(a - 5)*(a - 1)**3
Solve 1034055/4*b**2 - 12*b**5 - 229323/4*b**3 - 1405533/4*b + 594441/4 + 1602*b**4 = 0.
1, 3, 257/4
Let w(v) be the third derivative of -v**8/112 + 13*v**7/70 + 3*v**6/4 - 695*v**2. Let w(h) = 0. Calculate h.
-2, 0, 15
Let i(a) be the second derivative of a**4/3 + 80*a**3/3 + 152*a**2 - 574*a. Solve i(d) = 0 for d.
-38, -2
Let n be (-11)/(-1)*1/3. Let v = -394091/3 - -131365. Suppose -3*q**4 + v*q - 2*q**3 + n*q**2 - 4/3 = 0. What is q?
-1, 2/3
Let z(j) = -j**3 - 73*j**2 + 368*j - 1716. Let d be z(-78). Factor 0*t**2 + d - 39/4*t**3 + 3/4*t**4 + 0*t.
3*t**3*(t - 13)/4
Let g(j) be the first derivative of 0*j**4 - 2/21*j**3 + 1/14*j**2 + 23 + 0*j - 1/42*j**6 + 2/35*j**5. Factor g(v).
-v*(v - 1)**3*(v + 1)/7
Let l be 4 - -2 - 0 - -8. Suppose -17 = -l*s + 25. Let 0 - 2/9*p + 0*p**4 - 2/9*p**5 + 0*p**2 + 4/9*p**s = 0. What is p?
-1, 0, 1
Determine c, given that 9/5*c**4 - 63/5*c**2 - 156/5 + 324/5*c - 114/5*c**3 = 0.
-2, 2/3, 1, 13
Let l(h) be the second derivative of -18 - 2304*h**2 + 32*h**3 + 4*h - 1/6*h**4. Factor l(s).
-2*(s - 48)**2
Let u be 4/20*140*(-24)/(-1848). Solve 18/11*g**4 + 14/11*g + 12/11 - 30/11*g**2 - u*g**5 - 10/11*g**3 = 0.
-1, -1/2, 1, 2, 3
Let k(m) = 3*m**2 + 34*m + 21. Let n(w) = w**2 + 2*w - 1. Let z(v) = -2*v + 13. Let u be z(4). Let b(j) = u*n(j) - k(j). Factor b(d).
2*(d - 13)*(d + 1)
Let o = 463346 + -5096798/11. Factor -2/11*h**2 - 16/11*h - 2/11*h**5 - o + 10/11*h**3 + 2/11*h**4.
-2*(h - 2)**2*(h + 1)**3/11
Let d be 17/(102/84) - 2. Suppose 11 + 18*s + 5 + 10*s**3 + 0 + 24*s**2 - d = 0. What is s?
-1, -2/5
Suppose 16 = -5*d + 46. Let a be d - (-4)/(-8)*4. Let 6 - 7*n - 10 - 12 + 27*n - a*n**2 = 0. Calculate n.
1, 4
Let b be 10/(-30)*(2 - 2). Let r(j) be the first derivative of 3/13*j**2 + 4/39*j**3 + b*j - 19 - 1/26*j**4. Suppose r(z) = 0. What is z?
-1, 0, 3
Let i(t) be the second derivative of -t**10/30240 + t**8/6720 + t**4/6 + 4*t**2 - 3*t - 2. Let g(u) be the third derivative of i(u). Factor g(y).
-y**3*(y - 1)*(y + 1)
Let r(d) be the first derivative of d**4/24 + 41*d**3/18 + 32*d**2 + 174*d + 9945. Factor r(c).
(c + 6)**2*(c + 29)/6
Let c(p) = -p**3 + 6*p**2 - p + 13. Let m be c(6). Let f be (-5 - -2) + -1 + m. Factor -10*z + 12*z**f - 6 - 2 + 0 - 2*z + 4*z**2 + 4*z**4.
4*(z - 1)*(z + 1)**2*(z + 2)
Let 1395 + 3744*z + 254*z**3 - 503*z**3 - 5123 + 253*z**3 - 948*z**2 = 0. What is z?
2, 233
Suppose -4*o - y + 13 = 0, -43*o + 17 = -47*o + 5*y. Suppose 2/11*k**4 + 16/11*k**3 - 40/11 - 8/11*k + 30/11*k**o = 0. Calculate k.
-5, -2, 1
Let l = 432 - 420. Suppose 0 = -32*b + l*b - 15*b. Suppose 8/3*k + b - 2/3*k**2 = 0. What is k?
0, 4
Let x be (-22 + (-550)/(-25))*(-2)/18. Determine w so that -2/5*w**3 - 6/5*w + x + 8/5*w**2 = 0.
0, 1, 3
Let o be -3*-5*(-3)/(-15). Let c be (-123)/287*(o + -4). Factor -18/7 - c*m**2 - 15/7*m.
-3*(m + 2)*(m + 3)/7
Suppose 24*u**3 - 434*u**2 + 81*u + 475*u - 204 + 109*u**2 - 115*u**2 + 68*u**4 - 4*u**5 = 0. Calculate u.
-3, 1, 17
Let c(i) = 6*i**2 - i + 2. Let f(r) = -33*r**2 + 718*r + 228. Let x(d) = 5*c(d) + f(d). Determine m so that x(m) = 0.
-1/3, 238
Let p(j) be the second derivative of 6*j + 5/48*j**4 - 7/80*j**5 + 1/2*j**2 + 2/3*j**3 - 2. Factor p(a).
-(a - 2)*(a + 1)*(7*a + 2)/4
Let y(c) = -c**2 - c + 2. Let k(b) = 6*b**2 + 314*b - 20. Let w(f) = -k(f) - 10*y(f). Determine s, given that w(s) = 0.
0, 76
Let o(c) be the first derivative of -c**7/336 - c**6/24 - 11*c**5/48 - 5*c**4/8 - c**3 + 13*c + 114. Let l(w) be the third derivative of o(w). Factor l(m).
-5*(m + 1)*(m + 2)*(m + 3)/2
Suppose 137 + 279 = 104*i. Let k(f) be the first derivative of 0*f - 16 + 5*f**i - 5*f**2 + 5/3*f**3 - 3*f**5. Factor k(q).
-5*q*(q - 1)**2*(3*q + 2)
Solve -38*y - 26 - 23/2*y**2 + 1/2*y**3 = 0.
-2, -1, 26
Suppose 72 = -8*j + 17*j. Suppose 106 = j*p + 74. Factor 9/2*n**5 + 0 + 0*n + 0*n**2 - 3/2*n**p - 3*n**3.
3*n**3*(n - 1)*(3*n + 2)/2
Let a(x) = 3*x**4 - 33*x**3 - 45*x**2 + 21*x + 6. Let o(q) = q**4 + q**3 + q**2 + 1. Let n = -131 + 119. Let r(l) = n*o(l) - a(l). Solve r(u) = 0.
-1, -3/5