Factor j(h).
3*(h - 9)*(h + 5)
Suppose 0 = 4*l + 5*s + 85, 2*l + 2*s = -0*l - 44. Let x be 2/(-5)*14/280*l. Find j, given that 1/6*j**2 + x*j - 2/3 = 0.
-4, 1
Let x = -2024 + 2029. Let q(d) be the second derivative of 0*d**2 + 0 - 1/20*d**4 + 1/10*d**3 - 3/100*d**x + 1/50*d**6 + 3*d. Factor q(r).
3*r*(r - 1)**2*(r + 1)/5
Let j(f) be the second derivative of f**6/195 - 9*f**5/130 - 31*f**4/39 - 36*f**3/13 - 56*f**2/13 - 3563*f. Suppose j(d) = 0. What is d?
-2, -1, 14
Let d(s) be the second derivative of -s**5/90 - 20*s**4/27 - 76*s**3/27 + 1719*s. Find z such that d(z) = 0.
-38, -2, 0
Factor -870*m + 488*m**2 + 491*m**2 - 1469*m**2 + 126*m + 492*m**2.
2*m*(m - 372)
Suppose -14 - 4 = -x - 4*m, 3*m = x + 10. Let p = 3893/33 - 349/3. Factor -2/11*b**3 + p + 14/11*b**x - 30/11*b.
-2*(b - 3)**2*(b - 1)/11
Let s(q) be the third derivative of -q**7/1155 + 59*q**6/22 - 884*q**5/55 + 241*q**4/6 - 589*q**3/11 - 3*q**2 + q + 2090. Factor s(i).
-2*(i - 1767)*(i - 1)**3/11
Let o(f) = -2*f**3 + 43*f**2 + 20*f + 46. Let q be o(22). Determine w, given that 12*w**3 - 4*w**4 + 41*w - 9*w**4 + 23*w + 14*w**4 + 48*w**q = 0.
-4, 0
Suppose -10 + 18 = 4*h. Let i be ((-8)/30)/(224/40 + -6) + 0. Factor -54 - i*n**h - 12*n.
-2*(n + 9)**2/3
Let o(i) be the second derivative of -i**4/66 + 139*i**3/33 - 408*i**2/11 - 3887*i. Factor o(d).
-2*(d - 136)*(d - 3)/11
Let n be 1970/400 - (-282)/(-940). Solve 1/8*f**2 + 9/2 + n*f = 0 for f.
-36, -1
Let s(c) be the third derivative of -c**9/393120 + c**7/10920 - c**6/2340 + 149*c**5/60 - 106*c**2. Let o(u) be the third derivative of s(u). Factor o(z).
-2*(z - 1)**2*(z + 2)/13
Suppose -r + 82 = l, -l + 23 = 3*r - 63. Let u(n) be the first derivative of -5/3*n**3 + 20*n**2 - l*n - 8. Factor u(g).
-5*(g - 4)**2
Find l such that 72 - 28*l**2 - l**4 - l**5 - 28*l**2 + 3*l**4 - 18*l**2 + 37*l**3 + 105105*l - 105141*l = 0.
-6, -1, 1, 2, 6
Let j(u) be the third derivative of 107/15*u**5 + 0*u + 139/6*u**4 + 4*u**2 - 2/15*u**6 + 56/3*u**3 + 27. Factor j(d).
-4*(d - 28)*(d + 1)*(4*d + 1)
Suppose 0 = 12*c - 376 - 176. Suppose c + 0 = 23*k. Determine t so that 4/3*t - 2/3*t**k + 0 = 0.
0, 2
Let n be (20/12)/(3/72). Factor -30*i**4 + 15*i**2 + 7*i**5 + 35*i + i**5 - 3*i**5 + 15*i**2 - n*i**3.
5*i*(i - 7)*(i - 1)*(i + 1)**2
Let s(x) = x**2 - 59*x - 320. Let o be s(-5). Let n(y) be the second derivative of 12*y + 0 + o*y**2 - 1/16*y**4 + 1/4*y**3. Factor n(g).
-3*g*(g - 2)/4
Let c(l) = -6*l**3 + 2*l**2 - 26*l + 130. Let v(w) = 4*w**3 + 2*w**2 + 24*w - 129. Let o(r) = -3*c(r) - 4*v(r). Let o(t) = 0. Calculate t.
-3, 3, 7
Let k(j) = -18*j - 321. Let z = 1030 - 1048. Let n be k(z). Find s, given that 0 + 2/13*s**4 + 6/13*s + 10/13*s**n + 14/13*s**2 = 0.
-3, -1, 0
Let u(j) be the third derivative of j**6/720 - 7*j**5/360 - j**4/24 + 2*j**3 - 2*j**2 - 187*j. Determine a, given that u(a) = 0.
-3, 4, 6
Let 2*f**4 + 1548*f + 159819*f**2 + 159500*f**2 + 1886 + 88*f**3 - 318701*f**2 - 590 = 0. Calculate f.
-36, -3, -2
Let h(b) = b**2 + 3*b + 1. Let p be (2 - -1)/(3/(-4)). Let g be h(p). Determine j, given that -3*j**2 + 1 - j**3 - 3*j - 7 + g = 0.
-1
Determine r, given that -1144*r - 81 - 48 + 2689600*r**2 - 3594*r + 138 - 5102*r = 0.
3/1640
Let j be 4*(-4 - (-54)/12). Let v(a) = 3*a - 4. Let n be v(j). Solve 33*k**n - 38*k**2 + k + 9*k + 15 = 0.
-1, 3
Let q(d) be the second derivative of 0*d**2 + 1/5*d**5 + 1/15*d**6 + 0 - 54*d + 1/6*d**4 + 0*d**3. Factor q(k).
2*k**2*(k + 1)**2
Let z = 239/130 + -27/26. Let t(r) be the first derivative of 3*r**4 - 20/3*r**3 + z*r**5 - 6*r**2 + 16 + 16*r. Suppose t(d) = 0. What is d?
-4, -1, 1
Let y(s) be the first derivative of -5*s**8/336 + s**6/8 - s**5/6 + 35*s**2 + 38. Let c(k) be the second derivative of y(k). Find r, given that c(r) = 0.
-2, 0, 1
Let o be (-2450)/(-548) - (5 + 3 + -5). Let w = o + 4/137. Factor w*i + 1 - 5/2*i**2.
-(i - 1)*(5*i + 2)/2
Let q be 2/8 - 33*145/(-60). Suppose 17 + 243 + 225*v + q*v**2 + 4*v**3 + 62 - 66 + 47*v = 0. What is v?
-16, -2
Let a(d) be the third derivative of -1/7*d**4 - 1/2*d**3 + 0*d + 0 - 1/140*d**5 - 306*d**2. Suppose a(p) = 0. What is p?
-7, -1
Suppose -342*o**2 - 78*o**3 + 414*o + 3*o**4 + 538 + 246*o**2 - 781 = 0. Calculate o.
-3, 1, 27
Let h(z) be the first derivative of -3*z**2 + 4/3*z**3 + 0*z**5 - 1/3*z**6 - 4*z + 2*z**4 + 42. Factor h(x).
-2*(x - 2)*(x - 1)*(x + 1)**3
Let s = -2041/2 + 1021. Let r = 417 + -415. Factor s*w**3 + 0 - 2*w**r - 5/2*w.
w*(w - 5)*(w + 1)/2
Let g(w) be the second derivative of 50*w - 5/6*w**4 + 0 + 7*w**3 - 4*w**2. Let g(b) = 0. What is b?
1/5, 4
Factor 1/8*i**4 + 15/4*i**2 - 31/8 - 4*i + 4*i**3.
(i - 1)*(i + 1)**2*(i + 31)/8
Suppose -4*s = 8*q - 9*s - 16, 0 = q + s - 2. Let -2/17*d**q + 32/17*d - 128/17 = 0. Calculate d.
8
Factor -14/3*k**2 - 49/2*k + 5/6*k**3 - 9.
(k - 9)*(k + 3)*(5*k + 2)/6
Suppose -116606*m**2 + 116582*m**2 - 28*m**3 - 6*m**4 - 4*m**5 + 30*m**4 + 32*m = 0. Calculate m.
-1, 0, 1, 2, 4
Factor 50 + 3*y**2 - 90 + 57*y - 20.
3*(y - 1)*(y + 20)
Suppose 0 = -144*p + 146*p - 6. Factor -80 - 2*y**p + 10*y**2 + 8*y**3 - 8*y + 72.
2*(y - 1)*(y + 2)*(3*y + 2)
Let u be (40 - -4) + -49 + 8. Suppose 2/5*g**4 - 2/5*g - 2/5*g**2 + 2/5*g**u + 0 = 0. What is g?
-1, 0, 1
Let q(i) be the third derivative of 0 + 87*i**2 + 0*i**5 + 3/112*i**8 - 1/10*i**6 + 0*i**4 + 0*i**3 + 2/35*i**7 + 0*i. Factor q(k).
3*k**3*(k + 2)*(3*k - 2)
Let g = 160894 - 1287149/8. Factor -1/8*n**2 + g + 1/4*n.
-(n - 3)*(n + 1)/8
Let o(w) be the second derivative of w**7/14 + w**6/10 + 1248*w. Determine g so that o(g) = 0.
-1, 0
Factor 4616/17*b - 2/17*b**2 - 2663432/17.
-2*(b - 1154)**2/17
Let j = 1097/130 + -61/65. Let f(m) be the first derivative of -j*m**2 - 5/3*m**3 + 20*m - 10. Suppose f(x) = 0. Calculate x.
-4, 1
Let k(t) = t**4 + t**3 - t**2 - t. Let v(q) = -16*q**4 - 34*q**3 + 12*q**2 + 62*q + 32. Let w(x) = 36*k(x) + 2*v(x). Factor w(l).
4*(l - 8)*(l - 2)*(l + 1)**2
Let j(y) be the second derivative of -y**6/180 + 7*y**5/90 - 5*y**4/12 + y**3 + 7*y**2/2 - 68*y. Let t(m) be the first derivative of j(m). Solve t(f) = 0.
1, 3
Let j(a) be the first derivative of a**3 + 495*a**2/2 - 498*a + 3872. Let j(o) = 0. What is o?
-166, 1
Let m(g) be the first derivative of 0*g**2 + 5*g**3 - 10 + 0*g + 5/4*g**4. Let m(f) = 0. Calculate f.
-3, 0
Let u(r) be the second derivative of -12/7*r**2 - 3*r - 1/21*r**4 - 2/3*r**3 - 12. Factor u(k).
-4*(k + 1)*(k + 6)/7
Let j = -4751065/3 + 1583692. What is l in -10 - 1/3*l**2 + j*l = 0?
5, 6
Suppose 9*j - 162 = 3*j. Factor 225 - 630 - 5*l**4 - 13*l**2 + j*l**2 + 76*l**2.
-5*(l - 3)**2*(l + 3)**2
Suppose -13*y = -11*y - 4*p - 24, 0 = -4*y + 2*p + 60. Let b be (2/(-32))/(390/(-24) + y). Factor 3/4*n + b*n**2 + 1/2.
(n + 1)*(n + 2)/4
Let a(o) = -1628*o + 16284. Let s be a(10). Find k such that 3/2*k + 0 + 3/4*k**5 + 3/4*k**s - 3/4*k**2 - 9/4*k**3 = 0.
-2, -1, 0, 1
Let h = 1504 - 768. Factor -h*x - 37 - 3340*x**2 - 900*x**3 + 400*x**2 - 11.
-4*(x + 3)*(15*x + 2)**2
Let p(j) = 31*j**2 + 81*j - 175. Let d(v) = 83*v**2 + 245*v - 526. Let i(k) = 9*d(k) - 24*p(k). Factor i(b).
3*(b - 2)*(b + 89)
Let u(a) = 28*a**4 - 36*a**3 - 920*a**2 + 7352*a - 12976. Let i(d) = 18*d**4 - 25*d**3 - 614*d**2 + 4901*d - 8650. Let z(f) = -8*i(f) + 5*u(f). Factor z(h).
-4*(h - 6)**2*(h - 3)*(h + 10)
Let w = 4/6009 - -5989/30045. Let m(l) be the first derivative of w*l**4 + 1/15*l**6 + 0*l**2 + 6/25*l**5 + 19 + 0*l + 0*l**3. Factor m(o).
2*o**3*(o + 1)*(o + 2)/5
Let q(a) = -a + 4. Let x(h) = 4*h - 17. Let d(p) = 26*q(p) + 6*x(p). Let b be d(-2). Factor -3*m**3 + 2 - m**4 - 2*m**2 + b*m + m**2 - 3*m.
-(m - 1)*(m + 1)**2*(m + 2)
Factor 6509*s**2 + 376*s**3 - 3*s**4 + 1439506 + 7*s**4 + 4109*s**2 + 207360*s - 222994 + 2630*s**2.
4*(s + 22)*(s + 24)**3
Let s(t) be the third derivative of 0*t**3 + 5*t**2 + 1/200*t**6 + 0*t**4 - 3/50*t**5 + 0 + 0*t. Determine c so that s(c) = 0.
0, 6
Let t = -231828/2327 + 1296/13. Let i = t + 143/537. Determine k, given that 1/3 + 1/3*k - i*k**3 - 1/3*k**2 = 0.
-1, 1
Let z(w) be the first derivative of 39/25*w**5 - 109/15*w**3 + 54/5*w**2 - 4*w - 11/10*w**4 - 50 + 2/15*w**6. Suppose z(r) = 0. What is r?
-10, -2, 1/4, 1
Determine c, given that 2/13*c**3 + 14/13*c + 10/13*c**4 + 4/13 - 30/13*c**2 = 0.
-2, -1/5, 1
Let a = 844796/7 