uppose -2/13*b**5 - 24/13*b**3 + 164/13*b**2 - 102/13*b - 36/13*b**4 + 0 = 0. Calculate b.
-17, -3, 0, 1
Let z(l) be the second derivative of -l**5/10 + 91*l**4/3 - 361*l**3/3 + 180*l**2 - 2880*l. Factor z(f).
-2*(f - 180)*(f - 1)**2
Let a(u) = -25*u**3 + 1048*u**2 - 10932*u - 876. Let s(w) = 50*w**3 - 2096*w**2 + 21867*w + 1754. Let d(n) = 5*a(n) + 3*s(n). Determine k, given that d(k) = 0.
-2/25, 21
Let i(n) = -8*n**4 + 4*n**3 - 20*n**2 - 50. Let u(g) = g**4 - g**2 + 5. Let v(k) = -i(k) - 10*u(k). Factor v(b).
-2*b**2*(b - 3)*(b + 5)
Let h(r) = 24*r + 294. Let o be h(-12). Let d be -4 - -15*(128/20 - o). Factor 0 - p - 1/7*p**d.
-p*(p + 7)/7
Let q(w) be the third derivative of 2*w**7/105 - 2*w**6/3 + 43*w**5/15 + 116*w**4 - 480*w**3 - 714*w**2. Let q(i) = 0. What is i?
-5, 1, 12
Let w be ((-2)/9)/(67/18693*-31). Factor -1/3 + 5/6*s**3 + 4/3*s**w + 1/6*s.
(s + 1)**2*(5*s - 2)/6
Let k(d) = 26*d**2 + 448*d - 6255. Let t(x) = -3*x**2 - 56*x + 782. Let y(w) = -w - 2. Let b be y(4). Let v(h) = b*k(h) - 51*t(h). Factor v(a).
-3*(a - 28)**2
Let q be (((-7)/(-6))/(-1))/(20/(-120)). Suppose q + 14 = 5*n - k, 3*n + 2*k = 10. Suppose 2*r**2 + 2*r**2 + 2*r**5 - r**4 - 2*r - r**4 - 2*r**n = 0. What is r?
-1, 0, 1
Let d be (-2772)/(-539) + (-10)/2. Determine v, given that 0 + 1/7*v - d*v**2 = 0.
0, 1
Let g(s) be the second derivative of 28*s**2 - 3 + 2*s + 5/3*s**4 + 74/3*s**3. Determine w so that g(w) = 0.
-7, -2/5
Let 100*j**4 + 1716*j**2 + 1960 + 459*j**2 - 3500*j - 69*j**2 + 244*j**2 - 5*j**5 - 725*j**3 = 0. What is j?
2, 7
Let i be ((-4152)/16)/(21/(-14)). Suppose 11*y - 206 = -i. Find o, given that 144/5*o**2 + 12288/5 + 2304/5*o + 3/5*o**y = 0.
-16
Suppose -10*s + 16720 = 28*s. Suppose 30*b**2 + 395*b - 5*b**3 - s*b + 4 - 4 = 0. Calculate b.
0, 3
Let l = 434581/5 + -86914. Determine b so that -12/5 + 1/5*b**2 - l*b = 0.
-1, 12
Let g(r) be the third derivative of -r**6/40 + 51*r**5/10 + 105*r**4/2 + 212*r**3 + 253*r**2. Factor g(t).
-3*(t - 106)*(t + 2)**2
Suppose -4 = -m, -398*m + 393*m + 20 = 5*t. Let l(w) be the third derivative of 1/210*w**6 + 0*w**4 + 3*w**2 + 0 + 0*w**3 + t*w**5 + 0*w. Solve l(q) = 0 for q.
0
Let 169*t**4 + 165*t**4 + 169*t**4 + 36*t**3 - 88*t**2 - 499*t**4 = 0. Calculate t.
-11, 0, 2
Suppose -79*r = -82*r + 24. Let -2*w**2 - 4*w - 31*w**3 + 66*w**3 - 6*w**2 - 31*w**3 + r*w**4 = 0. What is w?
-1, -1/2, 0, 1
Let a(s) be the third derivative of -7/20*s**5 - 2*s**2 + 5/4*s**4 + 77 + 0*s + 0*s**3 + 1/40*s**6. What is i in a(i) = 0?
0, 2, 5
Let j(h) be the second derivative of -h**5/5 + 32*h**4/3 + 608*h**3/3 + 1280*h**2 + 17*h + 131. Factor j(g).
-4*(g - 40)*(g + 4)**2
Let m(b) = 130*b**5 + 24180*b**4 + 1124685*b**3 - 210*b. Let v(l) = -5*l**5 - 930*l**4 - 43257*l**3 + 8*l. Let g(y) = 4*m(y) + 105*v(y). Factor g(k).
-5*k**3*(k + 93)**2
Let s be (-3)/(((-360)/32)/15). Factor -2*p**5 - 289*p**4 + 249*p**s - 24*p**2 - 68*p**3 - 8*p**2 - 2*p**5.
-4*p**2*(p + 1)**2*(p + 8)
Let c = -356826 - -2497790/7. Find a such that c*a**2 + 0 + 56*a**4 + 172/7*a**3 + 228/7*a**5 + 0*a = 0.
-1, -2/3, -1/19, 0
Suppose 7*q = 9*q - 6. Let t be 2*16/40*(-75)/(-21). What is d in -4/7*d**q + t + 36/7*d + 12/7*d**2 = 0?
-1, 5
What is p in 486 - 5580*p + 4236 - 300*p**2 + 1152*p**2 + 16*p**4 + 246 + 416*p**3 = 0?
-23, -6, 3/2
Suppose 0 = 5*m + 3*b - 325, -m = m + b - 129. Suppose m = j + 59. Factor -4*a**2 - 5*a**4 + 11*a**j + a**4 - 3*a**3.
-4*a**2*(a - 1)**2
Let m(i) be the first derivative of 54*i**5/35 + 432*i**4/7 + 4884*i**3/7 - 10952*i**2/7 - 506530*i/7 + 1524. Factor m(a).
2*(a - 5)*(3*a + 37)**3/7
Find o, given that 10/9*o**5 + 9280/9*o**2 + 3200/9*o + 0 + 1016/3*o**3 - 376/9*o**4 = 0.
-2, -2/5, 0, 20
Factor -5*g**2 + 2716 + 641 + 1776 - 241 - 1172 - 1850*g.
-5*(g - 2)*(g + 372)
Suppose -100*z + 22 = 4*w - 98*z, 2*w - 55 = -5*z. Solve w*i - 4/3 + 1/3*i**2 = 0.
-2, 2
Let l = 181 + -65. Factor 16*r - 20*r + 3*r**3 - r**4 + l - 116.
-r*(r - 2)**2*(r + 1)
Factor 109/6*i + 13/3*i**2 + 14 + 1/6*i**3.
(i + 1)*(i + 4)*(i + 21)/6
Let k(j) be the second derivative of 289*j**5/30 + 30991*j**4/18 + 7280*j**3/9 + 428*j**2/3 - 3*j + 674. Factor k(s).
2*(s + 107)*(17*s + 2)**2/3
Let y(v) = -v**3 + 24*v**2 + 67*v + 382. Let p be y(27). Let -2/3*s**5 + 0*s**p + 8/3*s**3 - 2*s - 4/3*s**2 + 4/3 = 0. Calculate s.
-2, -1, 1
Let p = -5841 + 5844. Let k(z) be the first derivative of -2/5*z**5 - 1/2*z**4 + 0*z**2 + 0*z**p - 10 + 0*z. What is o in k(o) = 0?
-1, 0
Determine c so that 232*c - 232*c**3 - 1158/5 + 2/5*c**4 + 1156/5*c**2 = 0.
-1, 1, 579
Let t be -15*(210/(-325) + (-6)/39). Suppose -g - 5*j - t = -38, -3*g - j = -50. Factor -12*k**2 - 20 - g*k - 15 + 49 - 18.
-4*(k + 1)*(3*k + 1)
Let y(x) be the second derivative of x**7/840 - x**6/40 + 11*x**5/240 + 57*x**2 + 153*x. Let o(d) be the first derivative of y(d). Factor o(w).
w**2*(w - 11)*(w - 1)/4
Let l(q) = 15*q**2 - 480*q + 1200. Suppose 0 = 8*t - 11*t. Suppose -4*n + 5*n - 33 = t. Let v(k) = k**2 - 30*k + 75. Let u(x) = n*v(x) - 2*l(x). Factor u(s).
3*(s - 5)**2
Let p(c) be the second derivative of -c**6/225 - 14*c**5/75 - 251*c**4/90 - 124*c**3/9 + 60*c**2 + 5528*c. Suppose p(j) = 0. What is j?
-10, -9, 1
Let x(c) = -c**2 - 322*c - 2509. Let w be x(-8). Let v(r) be the first derivative of 35 + 4/5*r**5 - 4*r**w + 0*r - 2*r**4 + 0*r**2. Let v(u) = 0. Calculate u.
-1, 0, 3
Let q(j) be the second derivative of -97336*j**6/105 - 2645*j**5/7 + 92*j**4 + 1696*j**3/21 + 128*j**2/7 - 2470*j - 1. Factor q(g).
-4*(4*g - 1)*(23*g + 4)**3/7
Let j(b) = b**4 - 28*b**3 + 3*b**2 + 220*b + 283. Let n(d) = -3*d**3 - d**2 - 1. Let o(h) = -j(h) + 5*n(h). Factor o(f).
-(f - 9)*(f - 8)*(f + 2)**2
Suppose 122*y - 41*y - 13141 - 14237 = 0. Factor -962/3*p - 154/9*p**2 + y - 2/9*p**3.
-2*(p - 1)*(p + 39)**2/9
Let r(y) = y**3 + 18*y**2 + 13. Suppose -5 = 6*d + 31. Let g(b) = 3*b**2 + 2. Let o(v) = d*r(v) + 39*g(v). Factor o(k).
-3*k**2*(2*k - 3)
Let j = -172 + 174. What is z in -76*z - 6*z**j - 42 + 9*z**2 + 111*z + 26*z = 0?
-21, 2/3
Let b(a) be the third derivative of -a**6/24 + 7*a**5 - 935*a**4/2 + 46240*a**3/3 + 31*a**2 - 3*a + 8. Factor b(v).
-5*(v - 34)**2*(v - 16)
Let i = -543 - -558. What is u in -i - 31*u + u**2 + 70*u - 25*u = 0?
-15, 1
Let q be 5/(150/(-18)) + (-26)/(-10). Find o such that -5*o**5 - 25*o**q - 15*o**4 + 0*o**5 + 46*o**3 - o**3 = 0.
-5, 0, 1
Factor 13*m**2 + 0 + 27/2*m - 1/2*m**3.
-m*(m - 27)*(m + 1)/2
Let f(s) be the first derivative of 4*s**5/15 + 10*s**4/3 - 4*s**3 - 60*s**2 + 4017. Suppose f(l) = 0. Calculate l.
-10, -3, 0, 3
Suppose 51 + 3/2*b**5 + 249/2*b + 69*b**2 - 30*b**3 - 24*b**4 = 0. What is b?
-1, 2, 17
Let f be (3/(-2))/(((-135)/(-80))/(-9)). Suppose 2*n = -0*n - 2*l - f, 4*l = -20. Determine a, given that 0 + n + 2 - 4 + a**2 = 0.
-1, 1
Let k(y) = 4*y**3 + 123*y**2 - 4*y - 28. Let u(s) = -s**3 - 19*s**2 + s. Let r(x) = -k(x) - 5*u(x). Factor r(w).
(w - 28)*(w - 1)*(w + 1)
Let k(y) be the first derivative of 3*y**6/2 + 57*y**5/5 - 351*y**4/4 - 59*y**3 + 171*y**2 + 120*y - 1256. What is c in k(c) = 0?
-10, -1, -1/3, 1, 4
Let n be -13 + 12 + -2 - -6. Let i(j) be the third derivative of 1/3*j**n + 0 - 1/330*j**5 - j**2 + 0*j - 5/66*j**4. What is s in i(s) = 0?
-11, 1
Let f(q) = q**3 + 9*q**2 + q. Let v(h) = 2*h**4 - 23*h**3 - 97*h**2 + 67*h + 176. Let s(i) = -5*f(i) - v(i). Factor s(k).
-2*(k - 11)*(k - 2)*(k + 2)**2
Let n = 5559 + -33353/6. Let z(b) be the first derivative of 1/9*b**3 - 6 - n*b**2 + 0*b. Suppose z(v) = 0. Calculate v.
0, 1
Let k be (-4)/(-26) - (-13986)/351. Let a be -9 + (1504/k)/4. Find s such that -a*s**2 + 0*s + 8/5 = 0.
-2, 2
Let s(l) = -17*l**3 + 4130*l**2 + 4123*l - 66. Let w(x) = -15*x**3 + 4130*x**2 + 4125*x - 55. Let p(h) = -5*s(h) + 6*w(h). Determine u, given that p(u) = 0.
-1, 0, 827
Let g(v) be the third derivative of -v**6/24 - 29*v**5/6 + 305*v**4/6 - 620*v**3/3 + 29*v**2 + 35. Factor g(m).
-5*(m - 2)**2*(m + 62)
Let x(z) = 4*z**2 - 11*z + 6. Let v be x(3). Suppose 1423*r**2 + v*r**4 + 784 - 2128*r + 456*r**3 + 27*r**4 - 315*r**2 = 0. Calculate r.
-7, 2/3
Let y(z) = 171*z**3 + 691*z**2 - 730*z + 180. Let g(s) = -514*s**3 - 2074*s**2 + 2183*s - 540. Let u(p) = -10*g(p) - 35*y(p). Let u(r) = 0. Calculate r.
-5, 6/13
Let o(l) be the first derivative of l**3/15 - 8*l**