r. Determine u, given that 0 - s*u**4 - 8/7*u**2 + 12/7*u**3 + 2/7*u + 2/7*u**5 = 0.
0, 1
Let g(f) = f**2 + f. Let t = -4 + 5. Let i(r) be the third derivative of r**5/10 + 3*r**4/8 - 4*r**3 + 9*r**2 - 7. Let v(h) = t*i(h) - 3*g(h). Factor v(a).
3*(a - 2)*(a + 4)
Solve -5/6*q**4 + 0*q + 0*q**2 - 2/3*q**3 + 0 - 1/6*q**5 = 0 for q.
-4, -1, 0
Let c = -2025 + 2028. Suppose -8/5*t**2 + 0*t + 0 + 2/5*t**c = 0. What is t?
0, 4
Let r(w) be the second derivative of w**2 + 19*w + 13/54*w**4 + 1/45*w**5 + 0 + 8/9*w**3. Factor r(m).
2*(m + 3)**2*(2*m + 1)/9
Let w(o) be the second derivative of -61/120*o**5 - 2*o**2 - 23/9*o**3 - 61/36*o**4 + 1/84*o**7 - 1/45*o**6 - 87*o + 0. Solve w(q) = 0 for q.
-2, -1, -2/3, 6
Let b(g) = -6*g**3 + g**2 + 3*g + 2. Let k(p) = -11*p**3 + 5*p**2 - 238*p + 472. Let o(d) = 2*b(d) - k(d). Determine l so that o(l) = 0.
-18, 2, 13
Factor 1454*w + 5 + 75 + 6*w**2 - 1298*w - 18*w**2 - 8*w**3.
-4*(w - 4)*(w + 5)*(2*w + 1)
Let w = -32/2109 - -1502/6327. Determine r so that -56/9*r - 392/9 - w*r**2 = 0.
-14
Let h be 133/28 - (-3)/12. Suppose -h*c = -c - 304. Let -c*z**2 + 5*z + 151*z**2 - 70*z**2 = 0. What is z?
-1, 0
Let u(h) be the second derivative of h**6/15 + 16*h**5/5 - 47*h**4/2 + 36*h**3 + h + 1200. Factor u(x).
2*x*(x - 3)*(x - 1)*(x + 36)
Let y(o) = o**2 - 12*o - 1. Let q(u) = -2*u - u + 5*u + 12*u - 2*u**2. Suppose -24*m = -30*m - 18. Let c(k) = m*q(k) - 4*y(k). Let c(b) = 0. What is b?
-2, -1
Let n(w) be the second derivative of w**8/336 + w**7/210 - w**6/120 - w**5/60 - 57*w**2/2 + 8*w. Let p(m) be the first derivative of n(m). Factor p(k).
k**2*(k - 1)*(k + 1)**2
Let t(n) = -3*n**2 - 93*n - 388. Let g be t(-26). What is r in -20/9*r + 50/9 + 2/9*r**g = 0?
5
Suppose 57*v - 159/4*v**2 + 21/2*v**3 - 27 - 3/4*v**4 = 0. What is v?
1, 2, 9
Let f be 2/((-7)/42*-33). Let v = 2/55 + f. Factor v*n**2 + 0*n - 2/5.
2*(n - 1)*(n + 1)/5
Let g(j) be the first derivative of j**4/4 + 23*j**3/3 - 951. Factor g(z).
z**2*(z + 23)
Let w(d) be the third derivative of -35/24*d**4 - 20/3*d**3 + 1/12*d**5 + 0*d + 1 - 72*d**2. Solve w(z) = 0.
-1, 8
Let q(x) = 3*x**3 - 27*x**2 + 27. Let p(b) = 6*b**3 - 53*b**2 - b + 53. Let d be (-14 - -11)/(3 - 2). Let g(l) = d*p(l) + 5*q(l). Let g(o) = 0. Calculate o.
-1, 1, 8
Let s(x) = -18*x**2 - 205*x - 197. Let p(j) = 7*j**2 + 51*j + 52. Let v(c) = c**2 + 1. Let w(l) = 2*p(l) - 6*v(l). Let u(g) = -2*s(g) - 5*w(g). Factor u(t).
-4*(t + 1)*(t + 24)
Suppose d - 2*i - 130 = -d, 0 = -3*d + i + 185. Let o = d + -57. Factor -4*q**4 + 12*q**4 + 16*q + 16 - 4*q**3 - 6*q**4 - o*q**4.
-(q - 2)*(q + 2)**3
Let w(p) be the second derivative of -p**4/78 + 518*p**3/39 - 67081*p**2/13 - 892*p. What is u in w(u) = 0?
259
Let m(y) be the first derivative of y**4/6 - 4*y**3/3 - 85*y**2/3 - 52*y - 3880. Let m(f) = 0. What is f?
-6, -1, 13
Let q = -2777/5 - -538. Let n = -517/30 - q. Factor 0*c + 2/3 - n*c**2.
-(c - 2)*(c + 2)/6
Let z(w) be the first derivative of -2*w**5/55 + 7*w**4/22 + 34*w**3/33 + 9*w**2/11 + 1905. Factor z(j).
-2*j*(j - 9)*(j + 1)**2/11
Suppose r - 2*r + 3*v - 6 = 0, 0 = -4*r + 2*v + 26. Let c be (2/(-6))/((-1)/r). Find f, given that 1 + 17 + 8*f - 5*f - c*f**2 = 0.
-2, 3
Factor -9/5 - 6/5*y**3 + 21/5*y**2 - 6/5*y.
-3*(y - 3)*(y - 1)*(2*y + 1)/5
Let k(q) = -3*q**5 + 4*q**4 + 2*q**3 - 2*q**2 + q. Let a(p) = 25*p**5 - 33*p**4 - 17*p**3 + 16*p**2 - 8*p. Let y(m) = 4*a(m) + 34*k(m). Factor y(d).
-2*d*(d - 1)**3*(d + 1)
Let n be 10/6 - 8/12 - -14. Factor -4*m**2 + 2*m**2 - 4*m - n*m - 11*m.
-2*m*(m + 15)
Let u(q) = -2*q**2 + 12*q + 14. Let y be u(7). Suppose -6*b - b + 14 = y. Factor -5*z**b - 2*z**3 - z**4 + 6*z**4 + 5*z - 3*z**3.
5*z*(z - 1)**2*(z + 1)
Let n = -6931 - -6931. Let l(h) be the third derivative of 0 - 2/3*h**3 + n*h + 3/20*h**5 + 24*h**2 - 1/48*h**6 - 1/4*h**4. Factor l(d).
-(d - 2)**2*(5*d + 2)/2
Let r(c) be the third derivative of -c**6/80 - 149*c**5/12 - 34408*c**4/9 + 279752*c**3/9 - 6474*c**2. Factor r(v).
-(v - 2)*(3*v + 748)**2/6
Find i such that -366 - 420*i + 90 + 178*i - 10*i**2 = 0.
-23, -6/5
Let g(f) be the first derivative of 127 - 1/10*f**4 + 1/5*f**2 + 2/5*f - 2/15*f**3. Factor g(m).
-2*(m - 1)*(m + 1)**2/5
Let i(o) be the second derivative of 1/30*o**4 - 169*o + 28/5*o**2 + 0 - 16/15*o**3. Factor i(c).
2*(c - 14)*(c - 2)/5
Let v(j) be the second derivative of -j**5/4 - 865*j**4/12 - 18920*j**3/3 - 18490*j**2 + 10*j + 63. Factor v(r).
-5*(r + 1)*(r + 86)**2
Suppose -3*n = -5*a + 6, -3*a + 2*a + 8 = -4*n. Let c be 5/(12*(-4)/(-48)). Factor -2*l**c - l**3 - 3*l**3 + a*l**3 + 2*l + 4*l**5.
2*l*(l - 1)**2*(l + 1)**2
Suppose -4*d + 4*b + 1600 = 8*b, -b + 1612 = 4*d. Let y = 406 - d. Factor 0*i**y - 1/2 - i + 1/2*i**4 + i**3.
(i - 1)*(i + 1)**3/2
Let y = 6139/6 - 42949/42. Factor -22/7*u**2 + 0 + 26/7*u**3 - y*u.
2*u*(u - 1)*(13*u + 2)/7
Let b(s) be the third derivative of s**5/15 + 17*s**4/6 + 104*s**3/3 - s**2 - 232*s. What is l in b(l) = 0?
-13, -4
Solve 507*i + 79*i**2 - 18*i**2 + 1026 - 42*i**2 - 22*i**2 = 0 for i.
-2, 171
Suppose 38/5*b**3 + 297/5 - 1/5*b**4 + 18*b - 168/5*b**2 = 0. Calculate b.
-1, 3, 33
Let l(x) be the second derivative of 10*x**7/21 - 5*x**6/2 + 11*x**5/4 + 85*x**4/12 - 45*x**3/2 + 25*x**2 - 4662*x. Factor l(r).
5*(r - 2)*(r - 1)**3*(4*r + 5)
Determine v, given that 1088 - 211*v - 1173*v**2 + 803*v + 53*v + 1177*v**2 + 447*v = 0.
-272, -1
Let d(k) be the third derivative of -k**7/140 + 839*k**6/160 - 1457*k**5/40 + 829*k**4/32 + 156*k**3 + 11127*k**2. Find n, given that d(n) = 0.
-1/2, 1, 3, 416
Let q(v) = -v**2 - 14*v - 20. Let f be q(-6). Let b be 10/(-130) + f/1404*15. Find n such that 0*n**2 - b*n + 2/9*n**3 + 0 = 0.
-1, 0, 1
Let y be (62 - 49) + -19 + (-482)/(-77) + (-2)/(-7). Factor -40/11*u**2 + 46/11*u**3 + 0 - y*u.
2*u*(u - 1)*(23*u + 3)/11
Factor 27*m**2 - 11*m - 105*m**2 + 476 + 38*m**2 + 36*m**2 + 51*m.
-4*(m - 17)*(m + 7)
Factor 3/2*y**3 - 15/2*y**2 + 0 + 6*y.
3*y*(y - 4)*(y - 1)/2
Let r(g) be the second derivative of -7*g**5/60 + 5*g**4/12 - g**3/2 + 57*g**2/2 - 39*g. Let z(x) be the first derivative of r(x). Find m, given that z(m) = 0.
3/7, 1
Let t(j) = -4*j**4 + 2*j**3 - 20*j**2 - 5*j + 51. Let c(h) = -14*h**4 + 8*h**3 - 80*h**2 - 21*h + 203. Let m(o) = 6*c(o) - 22*t(o). Factor m(p).
4*(p - 2)**2*(p + 2)*(p + 3)
Determine w, given that 3*w**5 - 5317*w**3 - 5136*w**3 - 114*w**4 + 11536*w**3 = 0.
0, 19
Let u(t) be the first derivative of 1/2*t**4 - 100*t + 5*t**2 + 16/3*t**3 - 17. Let u(c) = 0. Calculate c.
-5, 2
Let p be 24/(-20)*(-10)/3. Let o(s) be the second derivative of 2/3*s**6 + 0*s**2 + 3/5*s**5 + 0*s**3 - 2/3*s**p + 0 - 9*s. Factor o(c).
4*c**2*(c + 1)*(5*c - 2)
Let d(t) be the second derivative of t**7/189 - 8*t**6/45 - 17*t**5/30 - 13*t**4/27 + 5289*t. Factor d(x).
2*x**2*(x - 26)*(x + 1)**2/9
Let k = 751/4434 - 2/739. Let j(b) be the second derivative of 1/4*b**4 + k*b**3 - 16*b + 0*b**2 + 0. Factor j(l).
l*(3*l + 1)
Let p(c) be the second derivative of c**6/15 - 11*c**5/5 + 74*c**4/3 - 120*c**3 + 288*c**2 - 9*c - 29. Solve p(b) = 0.
2, 6, 12
Let k = -2/51 + 161/204. Suppose -178*r + 3 = -177*r. Suppose 0 - 3/4*n**r + 3/2*n - k*n**2 = 0. Calculate n.
-2, 0, 1
Let s(f) = f**2 - 26*f - 84. Let p be s(29). Let d(o) = 2*o**2 + 9*o - 39. Let u(h) = 3*h**2 + 19*h - 77. Let a(y) = p*u(y) - 5*d(y). Solve a(q) = 0 for q.
6
Let d(f) be the first derivative of 62 - 4/7*f**2 + 1/14*f**4 - 16/7*f + 4/21*f**3. Factor d(v).
2*(v - 2)*(v + 2)**2/7
Let f(j) = -13*j**3 + 4*j**2 + 12*j + 10. Let s be f(-4). Let b be 10/(-8) + s/264. Let -8/17 + 10/17*k - 2/17*k**b = 0. What is k?
1, 4
Let p(v) be the first derivative of 1/10*v**5 + 1/6*v**4 + 0*v - 19*v**2 + 0*v**3 + 1/60*v**6 - 40. Let g(n) be the second derivative of p(n). Factor g(o).
2*o*(o + 1)*(o + 2)
Let m be (12/(-1680)*8)/(39/(-182)). Determine k so that m*k**3 - 6/5*k**2 + 0 + 4/15*k + 6/5*k**4 - 8/15*k**5 = 0.
-1, 0, 1/4, 1, 2
Factor 3*u**2 + 6415844 + 247073 + 1288235 + 9768*u.
3*(u + 1628)**2
Suppose 22*c + 10*c = -15*c + 14*c. Let f(r) be the third derivative of c - 7/24*r**4 + 0*r**5 + 1/120*r**6 - 14*r**2 + 0*r + r**3. Factor f(s).
(s - 2)*(s - 1)*(s + 3)
Let o = -100 + 102. Let q = -947/1335 + 75/89. Determine l, given that 4/15*l**3 - 2/5*l**o + q*l**4 - 8/15 - 16/15*l = 0.
-2, -1,