r = 89*z - 92*z, -4*z = r - 20. Find a, given that -25/4*a**r + 0 - 5/4*a**5 - 15/4*a**2 - 35/4*a**3 + 0*a = 0.
-3, -1, 0
Let v(n) be the first derivative of -99 + 8/9*n**3 - 4*n + 1/3*n**2 + 1/6*n**4. Factor v(j).
2*(j - 1)*(j + 2)*(j + 3)/3
What is f in -188/9 + 14/9*f**2 + 218/3*f = 0?
-47, 2/7
Factor 384/7 + 198/7*i - 27*i**2 - 3/7*i**3.
-3*(i - 2)*(i + 1)*(i + 64)/7
Let o(i) be the third derivative of -3*i**5/20 - 7*i**4/18 - i**3/18 - 29*i**2 - 21. Factor o(g).
-(g + 1)*(27*g + 1)/3
Let s(u) be the second derivative of -u**5/20 + u**4/12 + 15*u. Let p(j) = -j**3 + 17*j**2 + 27*j + 13. Let w(x) = p(x) - 2*s(x). Solve w(q) = 0 for q.
-13, -1
Let 281*p**2 - p**3 - p**4 + 7*p**3 + 146*p - 17*p**2 + 122*p + 57*p**3 = 0. Calculate p.
-2, 0, 67
Let f(i) = -i**3 + 3*i**2 + 3*i + 3. Let c be f(4). Let r be (21/(-14) - c)*-3. Determine k, given that -1/2*k**3 + 1/2 + 3/2*k**2 - r*k = 0.
1
Suppose -8/9 + 14/9*s**2 - 2/3*s**4 + 22/9*s - 22/9*s**3 = 0. Calculate s.
-4, -1, 1/3, 1
Let h be (3/2)/((-12)/(-20)). Let i be 280/120*(-9 - -7 - (-7)/2). Factor 9/2*y**2 + 1 - h*y**3 - i*y + 1/2*y**4.
(y - 2)*(y - 1)**3/2
Let c(d) be the third derivative of 147*d**6/50 + 2212*d**5/25 + 1261*d**4/120 + d**3/2 + 2952*d**2. Solve c(s) = 0.
-15, -1/42
Let a = -2877/23 - -8815/69. Factor -a*u + 8/9 - 2/9*u**3 - 2/3*u**4 + 22/9*u**2 + 2/9*u**5.
2*(u - 2)*(u - 1)**3*(u + 2)/9
Let g be (-4)/((-71400)/(-19287)) + (-4)/(-34). Let l = 9/50 - g. Factor 4/7*k**2 - 32/7 + l*k.
4*(k - 2)*(k + 4)/7
Let l = 1135/506 - -7/1012. Factor l*t + 3/4 - 3*t**2.
-3*(t - 1)*(4*t + 1)/4
Let y = 596518 + -3579107/6. Let b = 87 + -521/6. What is k in 1/6*k**3 + b - 1/6*k - y*k**2 = 0?
-1, 1
Let v(i) = 6*i**3 + i**2 + 1. Let b be v(-1). Let k be (b/16)/(-2*1/40). Factor 36/7*w**3 + 6/7 + 2*w**4 + 26/7*w + 2/7*w**k + 44/7*w**2.
2*(w + 1)**4*(w + 3)/7
Let f = 442 + -437. Let -3*i**3 - 292*i**2 + 72*i**4 - 48*i**f + 274*i**2 - 3*i - 1 + 1 = 0. Calculate i.
-1/4, 0, 1
Let u = 218 + -88. Let i = u - 511/4. Let 5/4*v**2 - i + 3/4*v + 1/4*v**3 = 0. Calculate v.
-3, 1
Let v = -48 + 47. Let q be (1 - -8) + v*2. Factor 16*z**3 + q*z**5 - 12*z - 9*z**5 + 8*z**2 - 2 - 2*z**5 - 6.
-4*(z - 2)*(z - 1)*(z + 1)**3
Let k(g) be the second derivative of g**6/45 + 4*g**5/5 + 167*g**4/18 + 92*g**3/3 - 156*g**2 + 5190*g. What is b in k(b) = 0?
-13, -6, 1
Let j(i) be the third derivative of -i**7/70 - 7*i**6/20 - 41*i**5/20 + 7*i**4 + 90*i**3 + 3*i**2 - 851*i. Determine f, given that j(f) = 0.
-9, -5, -2, 2
Let g(l) = l**2 + 5*l - 5. Let y be g(-6). Let s(b) = 0*b + 3*b - 3*b - 6*b**2. Let n(h) = h**2 + h. Let w(i) = y*s(i) + 3*n(i). Factor w(k).
-3*k*(k - 1)
Let u be 1/12*6116/88. Let t = -25/8 + u. Determine a, given that -40/3*a**2 - 14/3*a**4 - t*a - 46/3*a**3 + 0 = 0.
-2, -1, -2/7, 0
Let q = 745 - 317. Let h = q + -426. Factor 2/3*m**2 + 0 - h*m.
2*m*(m - 3)/3
Let j(a) = -5*a - 1. Let o(c) = -6*c - 1. Let m(r) = 7*j(r) - 6*o(r). Let x(z) = -6*z**2 - 6*z - 24. Let q(s) = -15*m(s) + x(s). Solve q(l) = 0 for l.
-3, -1/2
Let x(l) be the third derivative of l**7/630 - l**6/40 + 3*l**5/20 - 31*l**4/72 + 2*l**3/3 + 965*l**2. Suppose x(m) = 0. What is m?
1, 3, 4
Find x such that -64/5*x**2 - 17/5*x**4 + 0*x - 1/5*x**5 - 16*x**3 + 0 = 0.
-8, -1, 0
Factor 7*j**2 - 230586*j**3 + 5*j**2 + 230590*j**3 - 180*j - 700.
4*(j - 7)*(j + 5)**2
Let y(o) be the first derivative of -o**6/6 + 16*o**5 - 301*o**4/4 - 238*o**3/3 + 376*o**2 + 608*o - 10652. Solve y(h) = 0 for h.
-1, 2, 4, 76
Factor 2/3*c**2 - 64/3 + 28/3*c.
2*(c - 2)*(c + 16)/3
Let t(i) be the third derivative of 25/6*i**3 + 0*i + 0 - 1/2*i**5 + 1/6*i**6 + 1/42*i**7 - 5/6*i**4 + 145*i**2. Factor t(d).
5*(d - 1)**2*(d + 1)*(d + 5)
Let k(s) be the third derivative of -8/9*s**4 - 3 - 13/180*s**6 + 1/315*s**7 + 61*s**2 + 0*s - 32/3*s**3 + 5/9*s**5. Factor k(f).
2*(f - 6)*(f - 4)**2*(f + 1)/3
Suppose -3828*j + 384 = -3796*j. What is p in 2/5*p**3 - j*p**2 - 400 + 120*p = 0?
10
Factor -1900/9 - 2/9*j**3 - 68/3*j**2 - 150*j.
-2*(j + 2)*(j + 5)*(j + 95)/9
Let j(o) be the first derivative of -1/5*o**5 + 0*o**4 + 0*o**2 + 0*o - 216 + 0*o**3. Factor j(k).
-k**4
Let p(j) be the second derivative of -4*j**7/21 - 25*j**6/3 - 1051*j**5/10 - 385*j**4/2 - 75*j**3 + 368*j + 2. Solve p(f) = 0.
-15, -1, -1/4, 0
Let a(p) = 3*p**2 - 6*p + 2. Suppose 4*h + 60 = -4. Let y = 14 + h. Let b(j) = 7*j**2 - 13*j + 3. Let r(i) = y*b(i) + 5*a(i). Let r(o) = 0. What is o?
2
Let u = -1305 - -1269. Let o be (9/u)/((-1)/18). Factor 27*s + 54 + o*s**2 + 1/4*s**3.
(s + 6)**3/4
Let -2/13*s**3 + 0 + 0*s + 838/13*s**2 = 0. What is s?
0, 419
Suppose 0 = -f - 0*f + 3*r - 6, -2*f = 3*r - 15. Find l, given that 162 - f*l**5 - 16*l**4 - 162 - 5*l**3 = 0.
-5, -1/3, 0
Let l(s) be the second derivative of 2/63*s**7 - 4/45*s**6 + 0*s**3 - 1/5*s**5 + 0*s**2 - 1 - 31*s + 0*s**4. Factor l(n).
4*n**3*(n - 3)*(n + 1)/3
Suppose 0 = -1239*t + 1336*t - 291. Let g(u) be the first derivative of 7 - 64*u - 8*u**2 - 1/3*u**t. Find k, given that g(k) = 0.
-8
Suppose -44375*r + 44389*r - 28 = 0. Factor 45/2*m**r + 21/2*m + 1.
(3*m + 1)*(15*m + 2)/2
Suppose -w + 4*w + 5*v - 48 = 0, 4*w - 3*v = 35. Factor -3*a**4 - 10*a**2 - 9*a - w*a**3 + 25*a**2 + 8*a**3.
-3*a*(a - 1)**2*(a + 3)
Suppose -55*c = -49*c - 8058. Let w = 22839/17 - c. Factor -w - 2/17*n**2 + 10/17*n.
-2*(n - 4)*(n - 1)/17
Let i(j) be the third derivative of j**6/330 + 2257*j**5/330 + 94*j**4/11 - j**2 - 4*j + 1091. Solve i(u) = 0 for u.
-1128, -1/2, 0
Let t be (100/10 + -9)/((-1)/(-5)). Let j(f) be the third derivative of 0*f + 0 - 1/52*f**4 + 1/390*f**t + 0*f**3 + 18*f**2. Factor j(a).
2*a*(a - 3)/13
Let s(r) be the third derivative of r**5/120 + 31*r**4/4 + 2883*r**3 - 5*r**2 + 46. Factor s(a).
(a + 186)**2/2
Determine g so that 6962 - 10325*g - 1/2*g**4 - 14277/2*g**2 - 475/4*g**3 = 0.
-118, -2, 1/2
Let x(o) = 2 + 1 + o - 2 + 3. Let y be x(0). Let 4*u**4 + y*u - 4*u**3 + 0 - 5 - 12*u**2 + 11 + 2 = 0. What is u?
-1, 1, 2
Let i(h) = 51*h**5 - 61*h**4 - 240*h**3 - 494*h**2 - 392*h - 151. Let d(v) = -2*v**5 + v**4 - v + 1. Let o(x) = -50*d(x) - 2*i(x). Factor o(w).
-2*(w - 42)*(w + 1)**3*(w + 3)
Let s = -105 - -105. Let h = 70748/3 + -23580. Find u, given that h - 2/3*u**2 + s*u = 0.
-2, 2
Suppose -b - 7*b + b = 2*b. Let h(q) be the third derivative of b*q + 1/300*q**6 + 0 + 0*q**5 + 1/30*q**3 - 10*q**2 - 1/60*q**4 - 1/1050*q**7. Factor h(u).
-(u - 1)**3*(u + 1)/5
Let 956343/2*z**2 + 954271*z + 1907161/4 + 691*z**3 + 1/4*z**4 = 0. What is z?
-1381, -1
Suppose 3*y = 5*d + 815, -2*d - 3*y = 171 + 134. Let o = d - -804/5. Find a, given that 0 - o*a - 2/5*a**4 + 18/5*a**3 - 6/5*a**2 - 6/5*a**5 = 0.
-2, -1/3, 0, 1
Let d = -5/12022 - -36101/84154. Let -1/7*b**3 - 2/7*b**2 + d*b + 0 = 0. What is b?
-3, 0, 1
Factor -209*f - 4*f**2 - 560 - 376 - 8*f - 43*f + 192.
-4*(f + 3)*(f + 62)
Suppose 4*h = -6 - 38. Let u(q) = 11*q**4 - 6*q**3 - 6*q**2 + 6. Let x(d) = -21*d**4 + 11*d**3 + 11*d**2 - 11. Let c(w) = h*u(w) - 6*x(w). Factor c(o).
5*o**4
Let r = 29/43 + -2309/3870. Let y(a) be the third derivative of 1/18*a**4 - r*a**5 - 21*a**2 + 0 + 1/9*a**3 + 1/45*a**6 + 0*a. Factor y(z).
2*(z - 1)**2*(4*z + 1)/3
Let d be (-5 - (-182)/39)/(-2 - (-870)/441) + -12. Factor 10 - d*k**2 + 9/2*k.
-(k - 20)*(k + 2)/4
Let b(h) = 2*h**2 + 44*h - 96. Let s(u) = 13*u**2 + 76*u + 14*u - 10*u**2 - 192. Let c(v) = 5*b(v) - 2*s(v). Determine j, given that c(j) = 0.
-12, 2
Factor 37*u**3 - 5*u**4 + 648 + 22*u + 50*u + 4*u**4 - 646*u**2 - 109*u**3 - u**4.
-2*(u - 1)*(u + 1)*(u + 18)**2
Let m(v) be the second derivative of -v**6/780 + v**5/130 - v**4/78 + 27*v**2/2 - 15*v - 3. Let n(h) be the first derivative of m(h). Factor n(j).
-2*j*(j - 2)*(j - 1)/13
Let f be (-2984)/(-564) - (8/26 + (-31886)/91039). Factor 0 - 14/3*n + f*n**2.
2*n*(8*n - 7)/3
Suppose -4*z + 544 = -2*q + 1708, -4*q = -4*z - 2264. Factor 2/11*b**2 - 20*b + q.
2*(b - 55)**2/11
Let q be (66/(-308))/(6/(-56)). Factor 15 - 3/4*w**3 + 3*w - 15/4*w**q.
-3*(w - 2)*(w + 2)*(w + 5)/4
Suppose -1430 + 120 = -10*s. Factor 4461 + 90 + s*y + 8044 + 10112 + 3*y**2 + 391*y.
3*(y + 87)**2
Let d(r) = -3*r**5 + r**4 - 4*r**2 - 3*r + 1. Let s(v) = -7*v**2 + v**5 - 7*v - 19*v**5 - v**3 + 1 + 11*v**5 + v**4. Let l(c) = -5*d(c) + 2*s(c). Factor l(y).
(y - 3)*