 15168/7*z = 0.
-1896
Suppose 2*d - 91 = -5*s, -5*s + 5*d = 7346 - 7381. Factor -s*z**3 - 81/5*z + 0 - 159/5*z**2 + 3/5*z**4.
3*z*(z - 27)*(z + 1)**2/5
Let g be (40/(-6))/(52/(-78)). Factor -14 - 1 + 30*w - g*w**2 - 5 - 84*w.
-2*(w + 5)*(5*w + 2)
Let a be (4/5)/((-34)/(-85)). Factor 6*c + 3*c - 10*c**2 + 11*c**a - 10 - 12*c.
(c - 5)*(c + 2)
Let y(z) be the third derivative of 0*z**4 - 24*z**2 - 1/540*z**6 - 3 + 0*z - 4/27*z**3 + 1/90*z**5. Solve y(w) = 0 for w.
-1, 2
Let r(k) be the first derivative of k**4/34 - 94*k**3/51 + 703*k**2/17 - 6498*k/17 - 456. Factor r(w).
2*(w - 19)**2*(w - 9)/17
Let c(v) be the third derivative of -v**8/1008 + v**7/210 + 2*v**6/5 - 208*v**5/45 + 3634*v**2. Factor c(f).
-f**2*(f - 8)**2*(f + 13)/3
Let n(x) be the first derivative of 159/16*x**4 - 113 + 36*x**2 + 1/8*x**6 + 9/5*x**5 + 53/2*x**3 + 24*x. Let n(v) = 0. Calculate v.
-4, -2, -1
Let a(l) be the third derivative of l**5/20 - 13*l**4/4 - 396*l**3 - 18*l**2 + l - 31. Determine u so that a(u) = 0.
-18, 44
Suppose -3*s - 78*m = -82*m - 29, s = -3*m - 12. Let i(n) be the first derivative of 6*n - 3/4*n**4 - 3/5*n**5 + 21 + 15/2*n**2 + s*n**3. Factor i(t).
-3*(t - 2)*(t + 1)**3
Let q(i) be the second derivative of -i**6/80 + 1923*i**5/20 - 1232643*i**4/4 + 526749442*i**3 - 506469588483*i**2 + 1272*i. Find j such that q(j) = 0.
1282
Determine f, given that 216/7*f**3 - 108/7*f + 128/7*f**4 + 0*f**2 + 20/7*f**5 + 0 = 0.
-3, -1, 0, 3/5
Let l(q) be the second derivative of 5*q**7/42 + 205*q**6/6 + 10403*q**5/4 - 53045*q**4/12 - 4491*q. Let l(j) = 0. What is j?
-103, 0, 1
Let b = 248 - 246. Let -50 + 92*k + 0*k**b + 5*k**2 + 10 + 15*k**2 = 0. What is k?
-5, 2/5
Suppose -5*r + 295 = -5*f, 240 = 4*r - 4*f + 2*f. Let x = 63 - r. Factor 3/7*y**4 - 3/7*y**x + 3/7*y - 3/7*y**3 + 0.
3*y*(y - 1)**2*(y + 1)/7
Let l(d) = 2*d**3 + 14*d**2 + 17*d + 39. Let h be l(-6). Suppose 0 = 141*t - 144*t + h, -12 = -3*s - 4*t. What is r in s + 1/8*r**3 - 1/4*r**2 - 3/8*r = 0?
-1, 0, 3
Let r = 190 + -181. Solve 3*s - r*s**2 + 17*s + 5 - 5*s**2 - 11*s**2 = 0 for s.
-1/5, 1
Let y(c) = c**2 + 8*c + 1. Let x be y(-9). Let a be (-304)/(-95) + (-2)/x. Factor -17*o**2 - 2*o**a - 17*o**2 + 36*o**2.
-2*o**2*(o - 1)
Let a(l) = -4*l**4 - l**3 + l**2 + l - 2. Let k(f) = 5*f**4 + 118*f**3 - 119*f**2 - f + 2. Let n(s) = -a(s) - k(s). Determine m, given that n(m) = 0.
-118, 0, 1
Determine o, given that 18 + 325*o + 313*o - 946*o + 2*o**2 + 323*o = 0.
-6, -3/2
Let u(z) = z**5 + z**3 - 2*z**2 - z. Let d(r) = -4*r**5 + 27*r**4 + 130*r**3 - 665*r**2 + 5*r. Let w(n) = -d(n) - 5*u(n). Determine k, given that w(k) = 0.
-15, 0, 3
Let g(n) = 13*n**2 - 7*n - 11. Let y = 112 + -134. Let f(w) = -w**2 + w + 1. Let j be 8/(-6)*6/4*1. Let i(q) = j*g(q) + y*f(q). Suppose i(t) = 0. What is t?
-2, 0
Let g(k) be the first derivative of 7/3*k + 1/12*k**4 + 5/2*k**2 + k**3 + 104. Determine l so that g(l) = 0.
-7, -1
Let l(p) = 7*p**2 - 33*p - 45. Let n(m) = -6*m**2 + 26*m + 44. Let b(y) = -4*l(y) - 5*n(y). Solve b(j) = 0.
-5, 4
Let p be (-3)/(12 + -3 + -8). Let w be (-4)/((28/p)/(24/36)). Factor 18/7*n + 18/7 - w*n**3 - 2/7*n**2.
-2*(n - 3)*(n + 1)*(n + 3)/7
Suppose -15 = -2*b + 19. Suppose 3*k + b - 23 = 0. Solve 1/4*h**3 + 0*h**k + 0*h**4 - 1/8*h**5 - 1/8*h + 0 = 0.
-1, 0, 1
Let i = -73098/1105 + 5636/85. Let a be (0 + 0 + -2)/(-1). Factor -16/13*r + 36/13*r**a - 32/13*r**3 + 10/13*r**4 + i.
2*(r - 1)**3*(5*r - 1)/13
Suppose 46 = -21*x + 88. Let a(o) be the first derivative of -6*o**x - 10 + 2/3*o**6 + 2*o**4 - 4*o + 12/5*o**5 - 8/3*o**3. Suppose a(l) = 0. Calculate l.
-1, 1
Let h(j) be the third derivative of j**9/12096 - j**8/448 + j**7/126 + j**5/20 - 37*j**3/6 - 2*j**2 - 5. Let f(z) be the third derivative of h(z). Factor f(s).
5*s*(s - 8)*(s - 1)
Let i(x) be the first derivative of -2/35*x**5 - 1/7*x**4 + 4/7*x**2 + 121 + 2/7*x**3 - 8/7*x. Solve i(t) = 0 for t.
-2, 1
Let z(l) be the first derivative of 5*l**7/42 + 11*l**6/24 - 17*l**5/24 - 5*l**4/4 - 133*l**3/3 + 29. Let s(k) be the third derivative of z(k). Factor s(r).
5*(r + 2)*(4*r + 1)*(5*r - 3)
Let m(k) = -k**3 + 13*k**2 + 28*k + 57. Let p be m(15). Factor -3*a**3 + 36*a**2 - p*a**3 + 7*a**4 - 3*a**4 + 6*a**3.
4*a**2*(a - 3)**2
Let a(s) = -2*s - 34. Let g be (-2 - -21)/((0 - 2) + 1). Let u be a(g). Factor 8/15*f**u - 8/15*f**3 + 0*f - 2/15*f**5 + 0*f**2 + 0.
-2*f**3*(f - 2)**2/15
Let h(j) be the first derivative of 3*j + j**3 + 120 + 3*j**2 + 0*j**3 - 80. Factor h(i).
3*(i + 1)**2
Let y be (-156)/663 - 1900/(-850). Factor 0 + 10/7*k - 1/7*k**y.
-k*(k - 10)/7
Suppose 2*v + 2810 = -5*w + 4*w, -4*w = v + 1405. Let h = -1403 - v. Solve -1/3 - 1/3*q**h + 2/3*q = 0 for q.
1
Let x(k) = -8*k**2 - 247*k - 2039. Suppose -3*n - 20 = n, 4*m - 41 = 5*n. Let v(o) = 2*o**2 + 62*o + 510. Let h(s) = m*x(s) + 18*v(s). Factor h(w).
4*(w + 16)**2
Suppose 3*n + 0*y + 16 = -4*y, y = 5. Let l be (n/(-15))/(2/5). Suppose -30*u + u**l + 4*u**2 - 1 - 34 = 0. Calculate u.
-1, 7
Let o(g) be the second derivative of g**7/42 + 41*g**6/75 - 823*g**5/100 - 1041*g**4/5 + 738*g**3 + 1080*g**2 + 144*g - 3. Let o(q) = 0. What is q?
-15, -2/5, 2, 12
Let m be 120/35 + (-28)/(-49). Suppose 3*y + 0*f = m*f + 28, 3*y = -4*f - 4. Solve -8/9*j**y + 0*j - 10/9*j**3 - 2/9*j**2 + 0 = 0.
-1, -1/4, 0
Let k(i) = -7*i**3. Let s be k(1). Let r be ((-2)/(-3))/(s/(-21)). Factor -28 + 0*y**r + 36 - 6*y**2 + 0*y**2 - 2*y**3.
-2*(y - 1)*(y + 2)**2
Let k = -152939/164 - 36498/41. Let j = k + 1823. Solve -9/4*t - 3/2*t**4 + j*t**5 + 3/2*t**2 + 2*t**3 + 0 = 0 for t.
-1, 0, 1, 3
Let o(c) = -4*c**2 + 225*c - 1248. Let u be o(50). Solve -1/2*f**u - 450 - 30*f = 0 for f.
-30
Let z(o) be the third derivative of -o**7/630 - 13*o**6/180 - 2*o**5/15 + 13*o**4/36 + 25*o**3/18 + 6634*o**2. Factor z(i).
-(i - 1)*(i + 1)**2*(i + 25)/3
Let w(n) be the first derivative of -1/24*n**4 - 1/180*n**6 + 1/40*n**5 + 12 + 0*n**2 + 18*n + 1/36*n**3. Let d(f) be the first derivative of w(f). Factor d(i).
-i*(i - 1)**3/6
Factor 1/3*p**4 + 1008*p**2 - 110/3*p + 110/3*p**3 - 3025/3.
(p - 1)*(p + 1)*(p + 55)**2/3
Let v(p) be the first derivative of p**6/18 + 4*p**5/3 - 11*p**4/2 + 68*p**3/9 - 23*p**2/6 + 3530. Find u such that v(u) = 0.
-23, 0, 1
Let u(n) be the third derivative of -3/22*n**4 + 63*n**2 + 1/220*n**6 + 0*n + 0 + 1/110*n**5 + 0*n**3. Find h, given that u(h) = 0.
-3, 0, 2
Let i(l) be the second derivative of 32*l + 0 - 8*l**2 - 4/9*l**3 + 5/36*l**4 + 1/60*l**5. Factor i(j).
(j - 3)*(j + 4)**2/3
Let d(y) be the first derivative of 32/3*y**3 + 0*y + 16*y**4 + 2*y**2 + 44. Determine k so that d(k) = 0.
-1/4, 0
Let n = 206641/120 + -1722. Let g(k) be the third derivative of k**2 + 0*k - 1/15*k**3 + 1/100*k**5 - n*k**4 + 0. Let g(c) = 0. Calculate c.
-2/3, 1
Let 23/2*g + 1/4*g**2 + 45/4 = 0. Calculate g.
-45, -1
Suppose 657*a - 234 = 1737. Let t(u) be the first derivative of 24 + 13/32*u**4 - 1/4*u - 7/6*u**a + 17/16*u**2. Factor t(q).
(q - 1)**2*(13*q - 2)/8
Find w, given that 7492/5*w**3 + 784/5*w**5 + 1456*w**4 + 2048/5 - 5152/5*w**2 - 4352/5*w = 0.
-8, -8/7, 1/2
Let m(o) be the second derivative of -o**5/140 + 23*o**4/84 - 40*o**3/21 + 38*o**2/7 + 192*o. Factor m(l).
-(l - 19)*(l - 2)**2/7
Let l(n) be the first derivative of n**2 - 17*n + 6. Let q be l(10). Let -3*b**2 - b**q - 1 - 7*b - 2 - 4*b**2 + 2*b**2 = 0. What is b?
-3, -1
Suppose 657*h**3 - 45173*h**4 - 48*h - 519*h**2 + 44900*h**4 + 177*h + 6*h**5 = 0. What is h?
0, 1/2, 1, 43
Let g(a) = 305*a**2 - 85*a - 35. Suppose -13*n + 0 - 26 = 0. Let d(p) = -18*p**2 + 5*p + 2. Let m(u) = n*g(u) - 35*d(u). Factor m(t).
5*t*(4*t - 1)
Let n = -220 + 227. Let j be -1 + n + 66/(-15). What is m in j + 2/5*m**2 + 2*m = 0?
-4, -1
Let h(k) be the second derivative of -k**6/15 + 2*k**5 - 41*k**4/3 + 36*k**3 - 45*k**2 - 319*k. Determine p so that h(p) = 0.
1, 3, 15
Let s = -83 + 86. Let -9*w**4 + 18*w + s*w**3 + 26*w**2 + 18*w + 9*w**2 + 12 - 3*w**5 - 2*w**2 = 0. What is w?
-2, -1, 2
Solve 0*y**2 + 3/4*y - 3/4*y**3 + 0 = 0.
-1, 0, 1
Let y be (28/(-168))/((-3)/1713). Let x = 96 - y. Let -2/3*q**2 + x*q - 1/6 = 0. What is q?
1/4, 1
Let h be 572/54 - 43/(26703/(-46)) - 0. Find x such that -1/3*x**3 - 32/3 - h*x - 10/3*x**2 = 0.
-4, -2
Let q(o) be the third derivative of -2*o**7/105 - 14*o**6/3 -