ne x, given that u(x) = 0.
-5, -3, 13
Factor 0 + 125/2*y - 5/2*y**3 + 25/2*y**2 - 1/2*y**4.
-y*(y - 5)*(y + 5)**2/2
Let b = 932 - 927. Suppose -b*x - 87*d = -83*d + 8, 2 = 4*x - d. Factor -4/9*k**2 + 0*k + x + 1/9*k**4 - 1/3*k**3.
k**2*(k - 4)*(k + 1)/9
Suppose 32*f = 31*f + 28. Factor 56*u + 2*u**3 - 28*u - f*u.
2*u**3
What is w in -8223/2*w**2 + 5781*w**3 - 192*w**5 - 42 - 432*w**4 + 1521/2*w = 0?
-7, 1/8, 1/2, 4
Suppose 4*q + 19 = 5*w, 5*q + 3 = 2*q. Suppose 10*n**3 - 3*n**5 + 9*n**3 + 10*n**3 - 26*n**w = 0. Calculate n.
-1, 0, 1
Let n = -311995/7 - -44571. Factor n*z**2 + 12/7*z + 16/7.
2*(z + 2)*(z + 4)/7
Let l be (-6111176)/(-7168) - 65/(-8320). Solve 2*b**5 + 308*b**3 - 1024/7 - 298/7*b**4 + 5120/7*b - l*b**2 = 0.
2/7, 1, 4, 8
Let q(o) be the second derivative of -2*o**7/21 + 4*o**6/15 + 21*o**5/5 + 6*o**4 - o - 404. Determine l, given that q(l) = 0.
-3, -1, 0, 6
Factor -28*i**2 - 4*i**3 - 21*i - 103*i + 7*i**2 + 149*i**2.
-4*i*(i - 31)*(i - 1)
Let c(i) = -31*i + 545. Let b be c(21). Let f = b + 106. Factor 0*j + 0 + 1/6*j**3 + 0*j**4 - 1/6*j**5 + f*j**2.
-j**3*(j - 1)*(j + 1)/6
Let w be 4 + (0 - 1) + (-1340)/536. Let p(j) be the third derivative of -1/20*j**5 + 0*j + 12*j**2 + w*j**3 + 0 + 1/40*j**6 - 1/8*j**4. Solve p(k) = 0 for k.
-1, 1
Let m = 6939026/5 + -1387805. Factor -34/5*u**4 + 0*u + 0 - m*u**5 - 289/5*u**3 + 0*u**2.
-u**3*(u + 17)**2/5
Let v = -634 - -659. Determine w, given that 74*w + 3*w**2 - 51 - w - v*w = 0.
-17, 1
Let l(a) be the third derivative of -a**5/120 - 55*a**4/24 - 109*a**3/12 - 5*a**2 - 2. Suppose l(y) = 0. What is y?
-109, -1
Let f(g) be the third derivative of g**6/165 + 31*g**5/330 + 10*g**4/33 - 4*g**3/11 - g**2 + 87*g. Find l, given that f(l) = 0.
-6, -2, 1/4
Let k = 886/3 + -295. Factor 0 - k*c**2 - 4/3*c.
-c*(c + 4)/3
Determine t, given that 2/3*t**2 + 4*t + 16/3 = 0.
-4, -2
Let u = 275786/3 + -91925. Factor 1/3*m**2 + 6 - u*m.
(m - 9)*(m - 2)/3
Let g = 7447/25 + -29763/100. Factor -25/4 + g*m**3 - 49/4*m - 23/4*m**2.
(m - 25)*(m + 1)**2/4
Find o such that -687*o**2 - 685*o**2 - 4*o**3 + 2760*o**2 + 2*o**3 = 0.
0, 694
Let g(c) be the second derivative of c**8/2240 + c**7/560 + 109*c**3/3 - 206*c. Let n(b) be the second derivative of g(b). Find z such that n(z) = 0.
-2, 0
Determine n, given that -15*n + 981673 + 11*n**3 + 8*n**2 - 4*n**4 + 4*n**3 - 981677 = 0.
-1, -1/4, 1, 4
Let c(w) be the third derivative of 0 + 1/40*w**6 + 4*w**4 + 0*w + 66*w**2 - 11/20*w**5 - 14*w**3. Find d, given that c(d) = 0.
2, 7
Let g(b) = -20000*b**4 - 56000*b**3 - 58800*b**2 - 27441*b - 4804. Let w be 2/(-5) - 129/215. Let o(m) = m + 2. Let f(l) = w*g(l) - o(l). Factor f(v).
2*(10*v + 7)**4
Let l(u) = -4*u**4 + u - 1. Let w(q) = 3904*q**4 - 102200*q**3 + 669765*q**2 - 47446*q + 841. Let v(h) = -4*l(h) + w(h). What is k in v(k) = 0?
1/28, 13
Factor 0 - 2/5*j**2 - 8/5*j - 1/5*j**4 + j**3.
-j*(j - 4)*(j - 2)*(j + 1)/5
Let n(k) = 9*k**4 - k**3 + k**2 - 3*k. Let h(x) = 8*x**4 + 267*x**3 - 532*x**2 + 263*x. Let p(j) = -3*h(j) + 3*n(j). Solve p(t) = 0.
0, 1, 266
Let t = 5974 + -5969. Let g(q) be the third derivative of 30*q**2 + 0*q**3 + 0*q + 5/336*q**8 + 1/14*q**7 + 0 - 1/4*q**6 + 0*q**4 - 2/3*q**t. Factor g(j).
5*j**2*(j - 2)*(j + 1)*(j + 4)
Let z be ((-23)/12 + 60/90)*52. Let l be 138/345 - ((-828)/z)/(-2). Factor 32/13 + 48/13*s**2 + 18/13*s**3 - l*s.
2*(s + 4)*(3*s - 2)**2/13
Suppose -5*w + 14 = 4*t, 2*t = -6*w + 7*w - 14. Let c(n) = n. Suppose -i + 3 = -4*i. Let h(p) = 3*p**2 + 9*p - 18. Let y(m) = i*h(m) + w*c(m). Factor y(o).
-3*(o - 2)*(o + 3)
Let s(i) be the first derivative of -i**6/1080 - 13*i**5/60 - 169*i**4/8 + 2*i**3/3 - 49*i - 27. Let h(p) be the third derivative of s(p). Factor h(a).
-(a + 39)**2/3
Let h(j) = j**3 - 3*j**2 - j + 1. Let g be h(2). Let m(u) = 18*u**3 + 19*u**2 - 5. Let k(r) = -8*r**3 - 10*r**2 + 2. Let c(n) = g*k(n) - 2*m(n). Factor c(l).
4*l**2*(l + 3)
Let l(n) be the first derivative of 3*n**5/10 + 15*n**4/2 - n**3/2 - 15*n**2 - 4616. Determine k so that l(k) = 0.
-20, -1, 0, 1
Factor 27/8*f**2 - 3/8*f**3 + 15/2 - 9*f.
-3*(f - 5)*(f - 2)**2/8
Suppose 0*p - 2*t = 3*p - 11, -p + 3*t = -11. Suppose -4*q = -4*c - 16, p*c + 24 = 4. Factor q + 284*b + 16 - 284*b - 4*b**2.
-4*(b - 2)*(b + 2)
Let m = -325977 - -325980. Factor 7/2*p - 7/4*p**2 - 2 + 1/4*p**m.
(p - 4)*(p - 2)*(p - 1)/4
Let j(u) = 6*u - 5. Let a(c) = -2*c + 1. Let x(t) = -4*a(t) - j(t). Let i(f) = -f**3 + 6*f**2 + 25*f - 36. Let d(g) = i(g) - 6*x(g). Let d(r) = 0. What is r?
-3, 2, 7
Let p(d) be the first derivative of -d**5/20 + d**4 - 29*d**3/12 + 7*d**2/4 + 3168. Factor p(z).
-z*(z - 14)*(z - 1)**2/4
Let v = 21993/2 - 10992. Let s(o) be the first derivative of 1/4*o**3 + 18 - v*o + 3/8*o**2. What is q in s(q) = 0?
-3, 2
Suppose -72*b - 658/3*b**3 - 1082/3*b**2 + 0 + 646*b**4 + 6*b**5 = 0. Calculate b.
-108, -1/3, 0, 1
Let u(m) be the first derivative of -m**5/4 - 5*m**4/12 + 5*m**3/3 - 85*m + 152. Let l(n) be the first derivative of u(n). Factor l(k).
-5*k*(k - 1)*(k + 2)
Let w(a) be the second derivative of -a**6/10 + 1083*a**5/10 - 130321*a**4/4 - 227*a. Factor w(c).
-3*c**2*(c - 361)**2
Determine k so that 141/7*k + 30/7 - 78/7*k**2 = 0.
-5/26, 2
Let a be -2*((-10050)/(-100))/(-67). Determine g, given that 69/4*g + 9/4*g**a - 15/2 + 15*g**2 = 0.
-5, -2, 1/3
Let d(k) = -4*k - 13*k**2 + 23*k**2 + 10 + 24*k. Let y(r) = -15*r**2 - 30*r - 15. Let o(j) = 8*d(j) + 5*y(j). Solve o(t) = 0.
-1
Suppose -6*b + 9*b = m - 134, 0 = 3*m + 3*b - 354. Solve 2*k**4 - 26*k**3 + 6 - 168*k - 10 + 26 + m*k**2 - 2*k**3 + 50 = 0 for k.
1, 6
Factor 2/9*d**3 - 28/9*d**2 + 10*d + 0.
2*d*(d - 9)*(d - 5)/9
Let w(x) be the first derivative of -3*x**4/4 + 13*x**3 - 54*x**2 + 1061. Let w(q) = 0. What is q?
0, 4, 9
Let y(n) be the first derivative of -n**8/1120 - 3*n**7/560 + n**5/20 - 20*n**3 + 3. Let i(m) be the third derivative of y(m). Factor i(z).
-3*z*(z - 1)*(z + 2)**2/2
Let n(q) be the third derivative of -q**7/1050 + q**6/75 - 1037*q**2. Factor n(m).
-m**3*(m - 8)/5
Let n(x) be the second derivative of -x**5/70 - 19*x**4/42 - 16*x**3/21 + 36*x**2/7 - 393*x. Determine d, given that n(d) = 0.
-18, -2, 1
Let l be 6/(-2) + 27/4. Let c = 14935 - 14933. Factor 6 - l*u**c - 27/2*u.
-3*(u + 4)*(5*u - 2)/4
Suppose 0 + 0*d - 1/4*d**4 - d**3 + 5/4*d**2 = 0. Calculate d.
-5, 0, 1
Let i(y) be the third derivative of -y**6/24 - 11*y**5/12 + 5*y**4/2 + 894*y**2. Solve i(m) = 0.
-12, 0, 1
Let v(n) = 82*n - 20. Let a be v(29). Suppose 16*g - a = 10*g. Solve -395*x**3 + 6 - 2 + g*x**3 + 6*x = 0 for x.
-1, 2
Let n(t) be the first derivative of 2/11*t**3 - 8/11*t - 45 + 1/22*t**4 + 0*t**2. Factor n(i).
2*(i - 1)*(i + 2)**2/11
Factor -6*s**2 - 8/5*s**4 - 14/5*s - 26/5*s**3 - 2/5.
-2*(s + 1)**3*(4*s + 1)/5
Let c = -358 - -358. Let n be ((-18)/12 + 1)*c. Factor n - 32/9*k + 46/9*k**3 + 80/9*k**2 + 2/3*k**4.
2*k*(k + 4)**2*(3*k - 1)/9
Suppose -2*o - 27 = -11*o. Suppose -o*z - 4 = -5*z. Let 1 + w**z + 0*w**2 - 2 = 0. Calculate w.
-1, 1
Let g(s) be the second derivative of -20*s**4/3 - 2155*s**3/6 + 135*s**2/2 - 2*s - 2110. Find q such that g(q) = 0.
-27, 1/16
Let u be -1*(1 + 0)*-4. Suppose -u*r - 5 + 21 = 0. Determine h, given that -20*h**3 + 17*h**3 - 2*h**2 + 3*h + h**r + h**2 = 0.
-1, 0, 1, 3
Find z, given that 413449/3 + 1/3*z**2 + 1286/3*z = 0.
-643
Let t be (-2 + 5 - -1) + 110/(-20) + 6. Let g(k) be the first derivative of -18*k**2 + 13*k**3 + 18 + 12*k - t*k**4 + 3/5*k**5. Factor g(s).
3*(s - 2)**2*(s - 1)**2
Let d be -271 - ((0 - (-8 - 2)) + -5). Let k = d - -278. Solve 0 + 2/5*z - 3/5*z**k + 1/5*z**3 = 0 for z.
0, 1, 2
Find b such that -844/5*b + 848/5*b**2 - 4/5*b**3 + 0 = 0.
0, 1, 211
Suppose -l - 5*l = -30. Suppose 20*c**3 - 23*c**l + 10*c**4 - 15*c + 39*c**5 - 21*c**5 - 10*c**2 = 0. Calculate c.
-1, 0, 1, 3
Determine j, given that 2/9*j**2 + 36450 - 180*j = 0.
405
Let k(z) be the second derivative of z**5/180 - 4*z**4/9 + 128*z**3/9 - 20*z**2 - 7*z - 3. Let q(o) be the first derivative of k(o). Let q(l) = 0. What is l?
16
Find f, given that -3/7*f**2 + 963/7 - 960/7*f = 0.
-321, 1
Factor 3/7*v**3 + 732/7*v**2 + 334176/7 + 47436/7*v.
3*(v + 8)*(v + 118)**2/7
Factor -54/7*o + 5/7 - 11/7*o**2.
-(o + 5)*(11*o - 1)/7
Let t = -121397 + 121399. Find y such that 1369/7 + 1