9*m**2.
-2*(m - 6)*(8*m - 1)/19
Let f = 5351 - 5347. Let s(w) be the third derivative of -19/120*w**6 + 0 - 2/105*w**7 - w**2 + 0*w**3 + 0*w - 1/8*w**f - 7/30*w**5 + 1/84*w**8. Factor s(i).
i*(i - 3)*(i + 1)*(2*i + 1)**2
Let n(w) be the third derivative of w**7/210 - w**6/2 + 89*w**5/10 + 2905*w**4/6 + 3675*w**3/2 + 1180*w**2 + 2*w. Factor n(r).
(r - 35)**2*(r + 1)*(r + 9)
Let s(p) be the first derivative of -17*p**5 + 209*p**4/6 - 67*p**3/9 - 50*p**2/3 + 4*p/3 - 2470. What is a in s(a) = 0?
-2/5, 2/51, 1
Factor 6645/2*k**2 - 14718675/2*k + 10867288375/2 - 1/2*k**3.
-(k - 2215)**3/2
Let l(w) be the third derivative of -w**6/40 + 7*w**5/60 + 43*w**4/24 - 5*w**3/2 + 232*w**2 + 4. What is b in l(b) = 0?
-3, 1/3, 5
Let b(h) be the third derivative of -h**8/112 + 19*h**7/140 - 9*h**6/80 - 16*h**2. Factor b(v).
-3*v**3*(v - 9)*(2*v - 1)/2
Suppose -35*i + 38*i = 2*l + 30, 5*i = -6*l - 62. Determine a, given that 100/7 - 4/7*a**i - 96/7*a = 0.
-25, 1
Suppose -678*l + 52*l = -400*l - 3164. Let -30/7*i**2 - l + 18*i + 2/7*i**3 = 0. What is i?
1, 7
Find t, given that 4/9*t**3 + 160/3*t + 172/9*t**2 + 0 = 0.
-40, -3, 0
Suppose -550 + 276 + 274 = -32*f. Let c(y) be the second derivative of 2*y**2 - 20*y + f + 1/6*y**4 + y**3. Factor c(v).
2*(v + 1)*(v + 2)
Let n = 227458/5 + -46054. Let u = n + 563. Find r, given that 0 - u*r**2 + 6/5*r = 0.
0, 2
Factor -4/7*x**2 - 744/7*x + 0.
-4*x*(x + 186)/7
Let d be 21/(-7) - (37 + -2). Let k be (-4)/21 + d/(-114). Determine c, given that -4/7*c**3 + 1/7 - 4/7*c + k*c**4 + 6/7*c**2 = 0.
1
Let d(r) = -6*r**2 - 5*r. Let b(y) = 13*y**2 + 70*y + 836. Let o(k) = -3*b(k) - 6*d(k). Suppose o(p) = 0. What is p?
-38, -22
Let m be ((-30)/10)/(147/6790). Let h = m + 12624/91. Solve -h*n**3 + 4/13*n**2 + 0 - 2/13*n = 0.
0, 1
Suppose -5*g = 3*i + 277, 10*g + 273 = -3*i + 7*g. Let j be i/(-170) - (-141)/470. Factor 38/17*y**3 + 32/17*y + j*y**4 + 50/17*y**2 + 8/17 + 2/17*y**5.
2*(y + 1)**3*(y + 2)**2/17
Let p(n) = 14403*n**2 + 5280*n + 484. Let q(u) = -43208*u**2 - 15840*u - 1452. Let c(s) = -8*p(s) - 3*q(s). Factor c(m).
4*(60*m + 11)**2
Suppose -3*m + 5*i + 92 = 0, 2*m = 5*i + 7 + 46. Factor -m*n**4 + 302*n**3 - 190*n**2 + 12*n**5 - 202*n**2 + 199*n**4 + 174*n**3.
4*n**2*(n + 7)**2*(3*n - 2)
Let z(i) be the second derivative of -2*i + 1/10*i**6 + 72 - 18*i**2 - 2*i**3 + 9/4*i**4 + 9/10*i**5. Find j, given that z(j) = 0.
-3, -2, 1
Let q be 1/3*13/((-130)/855). Let g = q - -173/6. Factor 1/3*b**2 + 1/6*b**3 + 0 - g*b**4 - 1/6*b.
-b*(b - 1)*(b + 1)*(2*b - 1)/6
Let p(m) be the second derivative of -1/10*m**3 + 1/20*m**4 + 0*m**2 + 1 + 64*m. Suppose p(o) = 0. What is o?
0, 1
Let r(b) be the third derivative of b**6/30 - 76*b**5/15 - 79*b**4/2 + 231*b**2 - 4*b. Factor r(i).
4*i*(i - 79)*(i + 3)
Suppose 0 = -3*h + 4*t - 5508, 3*h = -10*t + 7*t - 5529. Let q = h - -1842. Determine n, given that 25/3 + 10/3*n + 1/3*n**q = 0.
-5
Let r(j) be the second derivative of j**5/160 + 7*j**4/96 - 65*j**3/24 + 14*j**2 + 82*j + 5. Factor r(k).
(k - 7)*(k - 2)*(k + 16)/8
Let r be 2185/133 + 12/21. Suppose -t - r = 4*l, 12 = t + l + 14. Suppose -2/9 + 5/9*n**5 + 10/9*n**2 - 8/9*n**4 - 1/9*n - 4/9*n**t = 0. What is n?
-1, -2/5, 1
Let g = -543 + 374. Let q = 169 + g. Factor 0 + 0*d**2 - 2/11*d**3 + q*d.
-2*d**3/11
Let k = -1432668/5 + 286536. Find f such that -k + 4/5*f**3 + 2*f + 26/5*f**2 = 0.
-6, -1, 1/2
Let h(j) be the third derivative of j**6/120 + 19*j**5/60 + 14*j**4/3 + 32*j**3 - 370*j**2. Let h(b) = 0. Calculate b.
-8, -3
Let d = -710 + 714. Suppose 154 - 162 = -d*b. Let 2*n**b + 0 + 1/3*n**4 - 2/3*n - 3/2*n**3 = 0. What is n?
0, 1/2, 2
Let c(p) be the second derivative of -3*p + 0*p**2 + 10/147*p**7 + 1/105*p**6 - 8 - 1/42*p**4 - 6/35*p**5 + 2/21*p**3. Let c(w) = 0. What is w?
-1, -1/2, 0, 2/5, 1
Let s = -99073 - -99075. Let -24/7 + 9/7*n**s - 30/7*n = 0. Calculate n.
-2/3, 4
Factor -22/9*q**3 - 11236/9 + 776/3*q**2 - 20458/3*q.
-2*(q - 53)**2*(11*q + 2)/9
Let w be (2 + 0)/(9*10/90). Let k be 12/((-72)/(-30)) - w. Factor 1/5*b**5 + 0 - 1/5*b**k + 0*b - 2/5*b**2 + 2/5*b**4.
b**2*(b - 1)*(b + 1)*(b + 2)/5
Let o = -15645 - -15647. Let a(t) be the first derivative of o*t**4 - 26 - 4/3*t**3 + 0*t**2 + 0*t - 4/5*t**5. Factor a(y).
-4*y**2*(y - 1)**2
Let a(c) = c**3 - 2*c**2 - 5*c + 10. Let g be a(2). Let q = -67/3 - -475/21. Factor g*d**2 + 0*d**4 + q*d**5 + 2/7*d - 4/7*d**3 + 0.
2*d*(d - 1)**2*(d + 1)**2/7
Suppose 2*j = 2*f - 36, -211*j + 24 = 4*f - 212*j. Factor -96/5 - 144/5*o - 6*o**f.
-6*(o + 4)*(5*o + 4)/5
Let d = 5 + -2. Let p = 359 + -356. Suppose p*o**3 + 2*o**5 - 10*o + 0*o - 8*o**2 + 2*o + 3*o**d + 8*o**4 = 0. Calculate o.
-2, -1, 0, 1
Find h such that -1606639*h**2 + 1606641*h**2 + 4 + 11*h + 122 + 37*h = 0.
-21, -3
Let y be (-10)/65 + (-54)/7371*-112. Let 22/9 - 22/9*z**2 - y*z + 2/3*z**3 = 0. Calculate z.
-1, 1, 11/3
Let m(s) be the first derivative of 127 - 3/2*s**4 - 2/3*s**3 - 2/5*s**5 + 4*s + 3*s**2. Let m(y) = 0. What is y?
-2, -1, 1
Factor -516*x + 1619 - 3*x**2 + 581 + 7*x**2 - 688.
4*(x - 126)*(x - 3)
Let z = -81/7 - -85/7. Let b be (108/(-5))/((-2)/((3200/(-35))/(-8))). Factor -b + z*l**3 - 72/7*l**2 + 432/7*l.
4*(l - 6)**3/7
Let t(b) be the first derivative of -b**5/70 - b**4/7 - 3*b**3/7 - 32*b - 41. Let i(z) be the first derivative of t(z). Let i(a) = 0. Calculate a.
-3, 0
Let p(z) be the second derivative of z**6/360 - z**5/60 + 2*z**3/9 - 31*z**2/2 + 15*z. Let w(v) be the first derivative of p(v). Factor w(a).
(a - 2)**2*(a + 1)/3
Let g be 28 + ((-4)/5)/(-1)*-5. Suppose -12*u - g + 252 = 0. Find x, given that -u - 15*x + 7 - 12*x**2 - 3*x**3 + 6 = 0.
-2, -1
Let j = -1764/71 + 12490/497. Factor -2/7*z**3 + 10/7 - 10/7*z**2 + j*z.
-2*(z - 1)*(z + 1)*(z + 5)/7
Let u = 1/72936 - 50526415/72936. Let t = 693 + u. Determine b so that 1/4*b**5 - 1/4*b**2 + 0 + t*b**4 - 3/4*b**3 + 1/2*b = 0.
-2, -1, 0, 1
Let l(q) = -9*q**2 + 5*q + 4. Let k be 4 - (-3 + 0 + -108). Suppose 19 = -4*w + k. Let s(x) = -x**2 + x. Let d(j) = w*s(j) - 3*l(j). Solve d(i) = 0.
-4, 1
Determine j so that -9/10*j + 0 + 3/5*j**4 + 1/10*j**5 + 13/5*j**2 - 12/5*j**3 = 0.
-9, 0, 1
Let s(t) be the first derivative of -12*t - 2/15*t**3 - 17/5*t**2 + 282. Find w, given that s(w) = 0.
-15, -2
Let w = 34 + -25. Suppose 0 = 4*r - w*r + 70. Determine z so that -14*z + 5*z**2 + 5*z**3 + 5*z**2 + r*z = 0.
-2, 0
Let a(r) = -5*r**3 + 1662*r**2 + 3342*r + 1687. Let g(m) = -14*m**3 + 4988*m**2 + 10026*m + 5056. Let w(b) = 8*a(b) - 3*g(b). Find v, given that w(v) = 0.
-1, 836
Let c(y) = -y**3 + 6*y**2 + 33*y - 49. Let r be c(9). Suppose -3*u + w = -5, 36*u - 5*w + r = 31*u. Factor 0 - 1/2*d**4 + 2*d**u + d - 5/2*d**2.
-d*(d - 2)*(d - 1)**2/2
Factor -4*n**2 + 107 + 420*n + 228 - n**2 + 90.
-5*(n - 85)*(n + 1)
Suppose -h + 32 = 7*h. Solve -40*u**3 + h*u + 4*u**2 + 42*u**3 - 2*u = 0 for u.
-1, 0
Suppose -1/6*f**2 - 40 + 17/3*f = 0. What is f?
10, 24
Let i = -216 - -220. Factor 142*z**5 - 70*z**5 - 70*z**5 + 2*z**i.
2*z**4*(z + 1)
Find s, given that 9/2*s**2 + 1/2*s**4 - 11/2*s**3 + 11/2*s - 5 = 0.
-1, 1, 10
Let g(u) be the first derivative of -181 - 152*u - 2/57*u**3 - 4*u**2. Let g(v) = 0. What is v?
-38
Let w(a) = -36*a - 2. Let d(m) = -m**2 - m - 1. Let k(t) = t. Let o(n) = -d(n) - k(n). Let x(r) = 2*o(r) + w(r). Factor x(g).
2*g*(g - 18)
Let o = 1/16854 - -1397/126405. Let s(x) be the second derivative of 19*x - o*x**4 + 0 + 2/45*x**3 + 8/15*x**2. Factor s(h).
-2*(h - 4)*(h + 2)/15
Let b(i) be the first derivative of -i**6/12 - 17*i**5/10 - 63*i**4/8 + 27*i**3/2 - 976. What is a in b(a) = 0?
-9, 0, 1
Determine z so that 55/7*z - 204/7 + 6/7*z**2 = 0.
-12, 17/6
Suppose -3485 = 10*l - 27*l. Solve 1964*g - 5*g**5 - 9004*g + 1375*g**2 + l*g**4 - 7980*g**2 - 2420 - 1775*g**3 = 0 for g.
-1, 22
Let v = 46147 + -46143. Factor -2/9*c**5 - 20/9*c**2 - 20/9*c**3 - 2/9 - 10/9*c**v - 10/9*c.
-2*(c + 1)**5/9
Let h(y) = -6*y**3 - 56*y**2 + 36*y + 1306. Let u(x) = 20*x**2 - 225*x + 135*x + 14*x**3 - 3264 + 120*x**2. Let j(t) = -12*h(t) - 5*u(t). Factor j(w).
2*(w - 9)**2*(w + 4)
Suppose 2*v - 20 = 6*w, 296 = w - 5*v + 346. Suppose -3/4*t**4 + w*t**2 + 0 + 0*t + 15/4*t**3 = 0. Calculate t.
0, 5
Solve 50*d - 286*d**2 - 57*d + 3*d**3 - 37*d - 96 + 209*d + 32*d**4 + 187*d - 5*d**5 = 0.
-3, 2/5