*5 + 0 - 2/15*u - 4/5*u**3 - 8/15*u**2.
-2*u*(u + 1)**4/15
Let q be (-165)/(-44) + -3 + 27/12. Find o, given that -11597*o**q + 11591*o**3 + 5*o**4 + 3*o**2 + 2*o**4 - 4*o**4 = 0.
0, 1
Factor 0 + 728/3*w**3 + 16/3*w - 169/3*w**4 - 212/3*w**2.
-w*(w - 4)*(13*w - 2)**2/3
Factor 465699/7*s**2 + 3/7*s**4 + 65856 - 132048*s - 2358/7*s**3.
3*(s - 392)**2*(s - 1)**2/7
Suppose 2508/5*m**3 - 2511/5*m - 5946/5*m**2 + 3/5*m**5 + 5766/5 + 36*m**4 = 0. Calculate m.
-31, -1, 1, 2
Let z(b) = -b**2 + 9*b + 13. Let u be z(10). Suppose -7*d = -6*d - u. Factor p**3 - 8*p**d - p**2 + 6*p**3.
-p**2*(p + 1)
Let f(h) be the second derivative of h**6/70 - 9*h**5/28 + 75*h**4/28 - 125*h**3/14 - 32*h + 5. Determine z so that f(z) = 0.
0, 5
Let h be (114/(-15) - (-10)/(-25)) + 6. Let u be 2160/1215 + h/(-9) + 0. Find d such that 2/7*d**u + 0 - 2/7*d = 0.
0, 1
Factor 12301*r**3 - 6151*r**3 + 910*r - 6145*r**3 + 135*r**2.
5*r*(r + 13)*(r + 14)
Let u(f) be the second derivative of -7/30*f**4 - 1/50*f**5 - 40 - 2/3*f**3 + 0*f**2 + f. Suppose u(r) = 0. Calculate r.
-5, -2, 0
Let a(v) = v**3 - 56*v**2 + v - 52. Let j be a(56). Let t(i) be the second derivative of 0 - j*i + 7/24*i**4 + 5/4*i**3 + 9/4*i**2 + 1/40*i**5. Factor t(q).
(q + 1)*(q + 3)**2/2
Let v(g) = -4*g**2 + 350*g - 6461. Let l be v(61). Suppose -204800*a - 768000*a**2 - 1440000*a**3 - 65536/3 - 506250*a**l - 1350000*a**4 = 0. Calculate a.
-8/15
Let p(d) = -7*d**2 + 2133*d + 141487. Let s(o) = 2*o**2 - 1066*o - 70746. Let q(j) = -2*p(j) - 5*s(j). Find y such that q(y) = 0.
-133
Let m(i) be the third derivative of -i**8/47040 + 2*i**7/735 - 16*i**6/105 + i**5/60 + i**4/12 + 21*i**2. Let v(o) be the third derivative of m(o). Factor v(y).
-3*(y - 16)**2/7
Let i(f) be the first derivative of f**4/30 - 4*f**3/15 + 5*f - 182. Let k(d) be the first derivative of i(d). Let k(y) = 0. What is y?
0, 4
Suppose -14*n + 367 = 339. Find b such that 290/3*b + 25/3*b**n + 55 = 0.
-11, -3/5
Let f be (76/320*-4)/((-2)/488). Let i = f - 230. Factor -3/5*z**2 + z**3 + 0 - 1/5*z**4 - i*z.
-z*(z - 3)**2*(z + 1)/5
Factor 289/3*t**3 - 4160*t + 14196 - 629/3*t**2.
(t + 7)*(17*t - 78)**2/3
Let w(v) be the first derivative of 0*v + 54 - 4/15*v**5 + 2*v**4 - 16/3*v**2 + 16/9*v**3 - 2/9*v**6. Find i such that w(i) = 0.
-2, 0, 1, 2
Let u be 24/104 + 648/234. Factor -27/4*h**2 - 3*h + 0 - 3/4*h**4 - 9/2*h**u.
-3*h*(h + 1)**2*(h + 4)/4
Let t(p) be the second derivative of -31/20*p**5 - 3/28*p**7 - 2*p**4 - 19/30*p**6 + 0 - 31*p - 17/12*p**3 - 1/2*p**2. Factor t(r).
-(r + 1)**4*(9*r + 2)/2
Let 0 + 264/5*x**4 + 3/5*x**5 + 5808/5*x**3 + 0*x + 0*x**2 = 0. Calculate x.
-44, 0
Let o(q) be the third derivative of -25/8*q**4 - 1/24*q**6 + 0 - 7/12*q**5 - 15/2*q**3 + 107*q**2 + 0*q. Determine h, given that o(h) = 0.
-3, -1
Let x be 5516/(-68) + 12/102. Let o be 9/(-3) + 1 - 171/x. Solve 0 - o*j**4 - 1/9*j**5 + 0*j + 1/9*j**3 + 1/9*j**2 = 0 for j.
-1, 0, 1
Let x(c) = c**2 - 5*c - 15. Let b be x(7). Let p be -2 + 4 + (-1 - b) + 0. Solve -34*o**4 + 6*o**2 - 5 + 29*o**4 + 4*o**p = 0.
-1, 1
Let m(z) = 17*z**4 + 788*z**3 + 28871*z**2 - 60060*z + 30408. Let i(a) = -2*a**4 - 3*a**3 - a**2 + 2. Let t(d) = 6*i(d) + m(d). Determine f so that t(f) = 0.
-78, 1
Let m be (-4)/240*-18 + (-6)/120. Determine t so that -2*t - m*t**2 - 3 = 0.
-6, -2
Let -3*k**4 + 21*k**2 - 36 - 27/2*k**3 + 30*k + 3/2*k**5 = 0. What is k?
-2, 1, 2, 3
Let c(y) be the first derivative of y**6/21 - 54*y**5/35 - 31*y**4/14 + 158*y**3/21 + 138*y**2/7 + 16*y - 1503. Determine f, given that c(f) = 0.
-1, 2, 28
Let g be (3 - 0)*-1 + 5. Let l(m) be the third derivative of -2*m**3 - 19*m**g + 7/8*m**4 - 7/40*m**6 + 1/5*m**5 + 0*m + 0. Find x, given that l(x) = 0.
-1, 4/7, 1
Suppose 4*d + 121 = 2*d + 117, 0 = 2*i - 2*d - 8. Factor 216 - 18*z**i + 4*z**3 + 2/3*z**4 - 72*z.
2*(z - 3)**2*(z + 6)**2/3
Let y(r) be the second derivative of 1/25*r**6 - 150*r + 0 + 0*r**4 + 0*r**2 + 0*r**3 - 1/50*r**5. Factor y(k).
2*k**3*(3*k - 1)/5
Let b be ((-19)/(1235/(-30)))/(621/3588). Factor -2/3*q**2 - 8/3 + b*q.
-2*(q - 2)**2/3
What is a in 3/4*a**4 - 99/2 + 135/4*a**2 + 45/4*a**3 + 15/4*a = 0?
-11, -3, -2, 1
Let n be 2 + 1 + -1 - (-12 + -2). Let v be n/(-7) - -2 - (-130)/14. Factor v*i**2 - i + 2 + 2*i - 10*i**2.
-(i - 2)*(i + 1)
Determine s, given that 21*s**5 - 12345*s**4 + 11933*s**4 + 29*s**5 - 22*s**5 - 120*s**3 = 0.
-2/7, 0, 15
Let v(l) = -73*l - 428. Let m be v(-6). Let j be (-2592)/480*m/(-14). Factor -j*t + 3/7*t**3 + 15/7 + 9/7*t**2.
3*(t - 1)**2*(t + 5)/7
Factor -4/5*a - 2/5*a**3 + 6/5*a**2 + 0.
-2*a*(a - 2)*(a - 1)/5
Suppose -52*o + 57*o = 10. Suppose 2*m + o*g = 12, 0 = -m - 3*m - 3*g + 22. Suppose 4*x**2 - m*x**2 - 3*x**2 - 3*x**3 = 0. What is x?
-1, 0
Let x be (37 - 2544/72) + ((-87)/36 - -3). Factor 15/8*d**2 + 3/8*d**4 + 21/8*d**3 - 21/8*d - x.
3*(d - 1)*(d + 1)**2*(d + 6)/8
Let u(z) = 6*z**3 + 144*z**2 + 281*z + 110. Let s(b) = 3*b**3 + 72*b**2 + 141*b + 54. Let k(y) = -11*s(y) + 6*u(y). Let k(o) = 0. Calculate o.
-22, -1
Let r = 73577/15 + -4905. Let a(s) be the third derivative of 8/3*s**3 - 2*s**4 + 0 - s**5 - r*s**6 + 0*s - 8*s**2. Factor a(c).
-4*(c + 2)**2*(4*c - 1)
Let t(l) = -13*l**2 - 22*l + 10. Let o be 5 + (-2)/(-8) + (-65)/20. Let v(g) = -4 - o*g + 23*g - 5 + 12*g**2. Let c(f) = 3*t(f) + 2*v(f). Factor c(z).
-3*(z + 2)*(5*z - 2)
Let b(u) be the third derivative of u**5/360 + 217*u**4/72 + 1733*u**2. Factor b(s).
s*(s + 434)/6
Let o = 186 + -181. Factor -10*c**2 + 10*c**3 + 541*c**o + 0 + 5 - 5*c + 5*c**4 - 546*c**5.
-5*(c - 1)**3*(c + 1)**2
Let p(f) be the third derivative of -f**7/840 - f**6/360 + f**5/20 + 8*f**3 - 7*f**2. Let l(b) be the first derivative of p(b). Solve l(v) = 0 for v.
-3, 0, 2
Suppose -5*l + 3*x + 37 = 0, -3*l + 4863*x - 3 = 4864*x. Suppose 20/9*d**3 + 16/9*d**2 - 20/9*d + 2/9*d**4 - l = 0. Calculate d.
-9, -1, 1
Let c(x) be the second derivative of 5/8*x**2 + 11/24*x**3 + 1/80*x**5 + 58*x + 7/48*x**4 + 0. Factor c(k).
(k + 1)**2*(k + 5)/4
Let k be (49/(-21) + 5)*(-6)/(-28). Let l(q) be the first derivative of -k*q**2 + 0*q**3 + 0*q - 6/35*q**5 + 2 + 1/2*q**4. Suppose l(b) = 0. Calculate b.
-2/3, 0, 1, 2
Factor -699*s**2 - 3388*s - 215*s**3 - 3000 - 552*s - 907*s**2 + 5*s**4 - 128*s**2 + 64*s**2.
5*(s - 50)*(s + 2)**2*(s + 3)
Let a(n) = 10*n**2 - 38*n - 42. Let h(u) = -108*u**2 + 416*u + 460. Let i(c) = 32*a(c) + 3*h(c). Factor i(v).
-4*(v - 9)*(v + 1)
Let s(o) be the third derivative of 2*o**2 - 43*o - 2*o**5 + 0 - 9/2*o**4 - 37/360*o**6 + 0*o**3 - 1/630*o**7. Suppose s(p) = 0. Calculate p.
-18, -1, 0
Let l = 315 - 312. Suppose 605 = -l*g + 611. Factor -3/2*f + 3/2*f**g - 1/2*f**3 + 1/2.
-(f - 1)**3/2
Let f(o) be the third derivative of 0 - 16/105*o**5 - 10/7*o**3 + 61/84*o**4 + 1/420*o**6 + 0*o + 184*o**2. Factor f(s).
2*(s - 30)*(s - 1)**2/7
Factor 365 - 5702*r + 105 - 130 - r**3 + 5021*r + 342*r**2.
-(r - 340)*(r - 1)**2
Suppose 3*v = -2*t + 16, -v + 29*t - 24*t - 6 = 0. Factor 3*m**3 - 16*m + 4*m - 3*m**v - 9*m**3 + 13*m**2 + 8*m**2.
-3*m*(m - 1)**2*(m + 4)
Let o(h) be the third derivative of h**8/90720 - h**7/3780 + h**6/360 + 7*h**5/60 - h**3/2 + 33*h**2. Let m(u) be the third derivative of o(u). Factor m(a).
2*(a - 3)**2/9
Let w(s) be the third derivative of 9409*s**6/3060 + 97*s**5/255 + s**4/51 - 25*s**3 + 169*s**2. Let d(h) be the first derivative of w(h). Factor d(x).
2*(97*x + 2)**2/17
Let x(b) be the first derivative of -b**6/570 + b**5/228 + b**4/228 - 4*b**3/3 - b + 61. Let i(h) be the third derivative of x(h). Factor i(l).
-2*(l - 1)*(6*l + 1)/19
Let m(j) be the third derivative of j**6/120 + 22*j**5/15 - 91*j**4/24 - 89*j**3/3 - 8976*j**2. Suppose m(w) = 0. Calculate w.
-89, -1, 2
Let y(m) be the third derivative of -m**6/60 + 163*m**5/30 + 166*m**4/3 + 668*m**3/3 - 745*m**2. Factor y(l).
-2*(l - 167)*(l + 2)**2
Let k(i) be the first derivative of 5/18*i**3 + 160/3*i - 61 - 20/3*i**2. Suppose k(z) = 0. Calculate z.
8
Let j = 847/306 + -398/153. Find o such that 0 - 1/2*o + j*o**3 - 1/3*o**2 = 0.
-1, 0, 3
Let l(m) = -m**3 + 6*m + 3. Let f = 158 - 157. Let h(v) = v**3 - v**2 - 2*v - 1. Let p(c) = f*l(c) + 3*h(c). Find w such that p(w) = 0.
0, 3/2
Suppose -47*u - 19 = 16 - 223. Let g(o) be the second derivative of 0 + o + 3/20*o**5 + 11/10*o**u + 1