) = l**2 - 37*l + 40. Let h(c) = k*j(c) - 3*x(c). Factor h(a).
3*(a - 1)*(a + 14)
Let j(u) be the third derivative of u**7/140 - 39*u**6/80 - 169*u**5/40 - 129*u**4/16 - u**2 + 1536*u. Determine n, given that j(n) = 0.
-3, -1, 0, 43
Let m(q) = -q**3 + 5*q**2 + 14*q + 1. Let l be -9 - (-7 - 0/(-3)). Let a be m(l). Factor a - s + 1/4*s**2.
(s - 2)**2/4
Let o(l) = -l**3. Let t(u) = 2*u**4 + 51*u**3 + 432*u**2 + 1728*u + 2592. Let m = -57 + 56. Let h(d) = m*t(d) - 3*o(d). Factor h(z).
-2*(z + 6)**4
Let t(q) be the third derivative of q**5/15 + 83*q**4/6 - q**2 - 277. Let t(r) = 0. Calculate r.
-83, 0
Let a(x) be the second derivative of -x**7/35 - 29*x**6/150 + 41*x**5/100 - x**4/10 - 2313*x - 1. Suppose a(i) = 0. What is i?
-6, 0, 1/6, 1
Suppose -4*n - 3*c + 164 = 0, n + c = -92 + 135. Find v, given that -26*v - 25/2*v**5 - n*v**4 + 131/2*v**3 + 16*v**2 - 8 = 0.
-4, -2/5, 1
Let q(h) be the second derivative of h**7/210 - 7*h**6/75 + 13*h**5/50 + 23*h**4/15 - 49*h**3/10 - 99*h**2/5 + 6138*h. Suppose q(m) = 0. Calculate m.
-2, -1, 3, 11
Let z(p) be the third derivative of -23/105*p**7 + 0*p**4 - 1 - 63*p**2 - 1/5*p**5 + 0*p**3 + 0*p + 71/60*p**6. Let z(y) = 0. What is y?
0, 2/23, 3
Let f be (-4)/(-50) - (115704/(-200) - (-43 + 12)). Determine u, given that -f + 1517/5*u + 1/5*u**3 - 76/5*u**2 = 0.
2, 37
Suppose 1896 + 1515 = -9*o. Let p = 382 + o. Find q such that 0 + 2/5*q**p - 4/5*q**2 + 0*q = 0.
0, 2
Let u(j) be the first derivative of -4*j**6/3 - 252*j**5/5 + 241*j**4 - 192*j**3 - 280*j**2 - 2103. Let u(q) = 0. What is q?
-35, -1/2, 0, 2
Let j(b) be the third derivative of b**6/780 + b**5/15 - 187*b**4/156 + 160*b**3/39 + 2703*b**2. Determine f, given that j(f) = 0.
-32, 1, 5
Let n(l) = -5*l**2 + 5*l. Let t(r) = 60*r + 15 - 60*r**2 - 44 + 29. Let c(x) = -35*n(x) + 3*t(x). Factor c(u).
-5*u*(u - 1)
Let y = -302 + -434. Let d = y + 5161/7. Factor 6/7*j**2 + 15/7*j - d.
3*(j + 3)*(2*j - 1)/7
Let j(n) = -n**2 - 7637*n - 3648058. Let r(p) = 4*p**2 + 22912*p + 10944188. Let i(s) = 8*j(s) + 3*r(s). What is l in i(l) = 0?
-955
Let g(w) be the first derivative of 6/25*w**5 + 38/5*w**2 - 13/5*w**4 - 277 + 98/15*w**3 - 16*w. Determine n, given that g(n) = 0.
-1, 2/3, 4, 5
Suppose -10296 = 1170*b - 1178*b. Let o = -1285 + b. Factor 0 + 8/5*g**4 + 8/5*g**o + 2/5*g**5 + 2/5*g + 12/5*g**3.
2*g*(g + 1)**4/5
Factor -2/13*p**5 + 4/13*p**4 + 0*p**3 + 2/13*p - 4/13*p**2 + 0.
-2*p*(p - 1)**3*(p + 1)/13
Let x(v) be the third derivative of -v**6/40 + 39*v**5/20 + 1055*v**2. Factor x(j).
-3*j**2*(j - 39)
Let h = 328 + -327. Factor 7*w**2 - 6*w**2 - 21 - 5*w**2 + h - 24*w.
-4*(w + 1)*(w + 5)
Let s = -48 + 57. Suppose s*b - 13*b = -124. Factor 3*j**3 + 5 + 45*j**4 - 6 - 1 - b*j**2 - 21*j + 6*j.
(j - 1)*(3*j + 1)**2*(5*j + 2)
Suppose -28*v + 8*v = -600. Let r be ((-105)/v)/(14/(-8)). Determine f so that 3/5*f**r + 3/5 + 6/5*f = 0.
-1
Suppose 0 = -5*r + 36 + 64. Solve 2*n**3 + 40*n + 12*n**2 - 15*n - 19*n - r = 0 for n.
-5, -2, 1
Let b be (-384)/(-1056) + 23/(-154) + (-54954)/(-2268). Determine t so that -64/9 - 220/9*t**3 - 14/9*t**4 + b*t + 26/3*t**2 = 0.
-16, -1, 2/7, 1
Let v(u) be the second derivative of u**7/98 + u**6/35 - 3*u**5/20 - 2*u**4/7 + 6*u**3/7 + 635*u. Suppose v(k) = 0. What is k?
-3, -2, 0, 1, 2
Let p(x) = -x**3 + 20*x**2 + 27*x + 16. Let j = 4 + 1. Let b(u) = -317*u**3 + 316*u**3 + 41*u + 24 - 9*u**2 + 39*u**2. Let m(y) = j*b(y) - 7*p(y). Factor m(f).
2*(f + 1)*(f + 2)**2
Suppose -m - 3*i + 17 = -0*m, m - i - 17 = 0. Suppose 6*k - 55 - m = 0. Suppose -71*f**3 - 3*f**2 - k*f + 12 - 72*f**3 + 146*f**3 = 0. What is f?
-2, 1, 2
Let h(m) be the first derivative of -18/5*m**2 + 3/25*m**5 + 27/5*m - 2/5*m**3 + 37 + 3/5*m**4. Determine l, given that h(l) = 0.
-3, 1
Let z(p) be the first derivative of -p**3/6 - 59*p**2/2 - 237. Factor z(i).
-i*(i + 118)/2
Let q(j) = 24*j**3 - 3*j**2 + 4. Let m be q(1). Suppose m*i - 2*i = 0. Factor i*r**2 + 1/6*r - 1/3*r**3 + 0*r**4 + 0 + 1/6*r**5.
r*(r - 1)**2*(r + 1)**2/6
Let n(f) = 5*f**3 + f**2 - f. Let a be n(1). Find u, given that 9*u**2 + u**2 + 9*u - 14 + a*u**2 - 9*u**2 - u**3 = 0.
-2, 1, 7
Let z(g) be the first derivative of g**3/6 + 533*g**2/2 + 6438. Factor z(a).
a*(a + 1066)/2
Let f(a) = -15*a**2 + a - 30. Let o(g) = 83*g**2 - 5*g + 150. Let c(u) = -11*f(u) - 2*o(u). Factor c(p).
-(p - 5)*(p + 6)
Let v(f) be the first derivative of -2*f**5 - 2*f - 8 + 5/2*f**2 - 5/2*f**4 - 1/2*f**6 + 0*f**3. Let u(g) be the first derivative of v(g). Factor u(h).
-5*(h + 1)**3*(3*h - 1)
Let q(d) be the second derivative of -d**6/180 - d**5/30 + 11*d**4/72 + 11*d**3/6 + 6*d**2 - 431*d + 3. Factor q(k).
-(k - 4)*(k + 2)*(k + 3)**2/6
Suppose 502*j - 333*j - 342 = -4. Factor 3/2*t**j + 9/2 + 6*t.
3*(t + 1)*(t + 3)/2
Factor 76176/5*j - 828/5*j**2 + 3/5*j**3 - 2336064/5.
3*(j - 92)**3/5
Factor -83*b**4 + 40*b**4 - 22*b**3 - 2339 - 31*b**3 - 897*b**2 - 5239*b + 42*b**4 - 2055.
-(b + 1)*(b + 13)**2*(b + 26)
Let l(m) = 48*m**3 - 82*m**2 + 46*m - 6. Let r(n) = 287*n**3 - 492*n**2 + 275*n - 36. Let t be (6 + 48/(-9))*51. Let p(a) = t*l(a) - 6*r(a). Factor p(x).
-2*(x - 1)*(5*x - 3)*(9*x - 2)
Let h(v) be the first derivative of 4*v**3/3 - 1628*v**2 + 662596*v - 5535. Find q such that h(q) = 0.
407
Solve 262*o**3 + 246*o + 467*o**4 + 795*o**3 - 1245*o**2 + 3878*o**2 + 154*o**3 - 144 + 738*o**3 + 33*o**5 = 0 for o.
-8, -3, -1/3, 2/11
Let z(d) be the third derivative of -d**7/1050 + 57*d**6/40 - 15194*d**5/25 - 22898*d**4/15 - 41*d**2 + 16. Factor z(k).
-k*(k - 428)**2*(k + 1)/5
Determine r so that 728 + 1111771*r - 8 - 1114056*r + 2460*r**2 - 945*r**3 + 50*r**4 = 0.
9/10, 1, 16
Suppose 270*h - 1308 = -384*h. Factor 12/5 - 4/5*t - 1/5*t**h.
-(t - 2)*(t + 6)/5
Suppose -2/11*j**2 + 412/11*j - 21218/11 = 0. Calculate j.
103
Let p(i) = i**3 + 179*i**2 + 206*i - 380. Let q(w) = -360*w**2 - 410*w + 760. Let u(n) = -5*p(n) - 3*q(n). Find b, given that u(b) = 0.
-2, 1, 38
Let b(p) be the second derivative of 65/2*p**3 - 95/2*p**2 + 1/4*p**5 - 35/4*p**4 + 2 + 8*p. Suppose b(z) = 0. What is z?
1, 19
Suppose -18 = -4*s - 3*q - 67, -5*q = -5*s - 70. Let l = -11 - s. Solve 12/11*g**3 - 8/11*g**l + 10/11 - 12/11*g - 2/11*g**4 = 0 for g.
-1, 1, 5
Let z(l) be the first derivative of -48 - 3/4*l**4 + 4/9*l + 28/9*l**2 + 25/27*l**3. Let z(y) = 0. What is y?
-1, -2/27, 2
Suppose 0 = -28*q - 16*q + 4*q - 7*q. Let v(o) be the third derivative of -18*o**2 - 1/108*o**4 + 0*o - 1/1080*o**6 + 0 + q*o**3 + 1/180*o**5. Factor v(f).
-f*(f - 2)*(f - 1)/9
Let l(c) be the third derivative of 1/900*c**6 + 0 - 1/150*c**5 - 1/180*c**4 + 1/15*c**3 + 0*c + 30*c**2. Factor l(u).
2*(u - 3)*(u - 1)*(u + 1)/15
Let g(z) be the third derivative of 0*z + 14/15*z**3 - 4/75*z**5 + 1/300*z**6 + 1/12*z**4 + 0 + 53*z**2. Determine o so that g(o) = 0.
-1, 2, 7
Let a be (0 - -1)/(3/9). Let n = -152 + 156. Solve -6*k**3 - 16*k**2 + 9*k**2 - 6*k**3 - a*k**n - 5*k**2 = 0.
-2, 0
Let t(h) be the first derivative of -2*h**6/3 - 48*h**5/5 - 21*h**4 - 40*h**3/3 + 545. Let t(k) = 0. Calculate k.
-10, -1, 0
Let j(y) = -y**3 + 30*y**2 - 35*y + 29. Let k be j(29). Let r = k - -293/2. Factor -1/2*o**5 - r*o**4 - 1/2*o**2 - 3/2*o**3 + 0 + 0*o.
-o**2*(o + 1)**3/2
Suppose -4*s - 2*y + 266 - 88 = 0, y = 2*s - 87. Let 3*o**2 - 2*o**3 - 7*o**2 + 46*o**4 - s*o**4 = 0. Calculate o.
-1, 0, 2
Let v(l) be the third derivative of l**5/15 - 383*l**4/3 + 293378*l**3/3 + 5*l**2 + 12*l. Determine u so that v(u) = 0.
383
Suppose 5*w + 52 = 3*z, -7 = 2*z + 8*w - 3*w. Factor -13*x**5 - 8*x**2 + z*x**5 - 8*x**3 + 12*x - 4 + 53*x**4 - 41*x**4.
-4*(x - 1)**4*(x + 1)
Let l(p) be the third derivative of -1/210*p**5 + 1/12*p**4 + 0*p + 0 + 8/21*p**3 - 25*p**2. Factor l(y).
-2*(y - 8)*(y + 1)/7
Let f(r) = 1915*r + 97667. Let g be f(-51). What is i in -12/5*i**4 - 44/5 + 224/5*i + 32*i**3 - 328/5*i**g = 0?
1/3, 1, 11
Let q be 7/6*(-14 + 6 + (-1298)/(-154)). Find h such that -3*h - 9/2 - q*h**2 = 0.
-3
Let r(i) = 5*i**2 + 138*i - 4 + i**3 - 70*i - 65*i. Let o be r(-4). Let -1/2*p + 1/2*p**3 + 3/2*p**2 + o - 3/2*p**4 = 0. What is p?
-1, 0, 1/3, 1
Let x(z) = -z**3 + 17*z**2 + 18*z - 364. Let h be x(17). Let j be (10 - h/(-10)) + -4. Factor 0*i + 0 + 1/5*i**4 - 1/5*i**2 + j*i**5 - 1/5*i**3.
i**2*(i - 1)*(i + 1)**2/5
Let f(p) be the thi