 30/11*r**4.
-6*r*(r + 5)**2*(5*r - 2)/11
Suppose -5*v + 6 = -3*v. Let n be (-14*27/72765*-14)/((-2)/(-5)). Find j, given that 0 + 4/11*j**2 + n*j**4 - 6/11*j**v + 0*j = 0.
0, 1, 2
Let w(o) be the second derivative of o**7/42 + 7*o**6/6 - 241*o**5/20 + 229*o**4/12 + 158*o**3 - 738*o**2 - 4181*o. Determine s so that w(s) = 0.
-41, -2, 2, 3
Let i(h) be the third derivative of 5*h**8/168 - 17*h**7/42 - 83*h**6/24 - 19*h**5/12 + 135*h**4/8 + 30*h**3 + 3382*h**2. Determine g so that i(g) = 0.
-3, -1, -1/2, 1, 12
Let o(l) be the second derivative of 0 + 0*l**5 + 1/15*l**6 + 0*l**3 - 187*l + 0*l**4 + 1/6*l**7 + 0*l**2. Factor o(p).
p**4*(7*p + 2)
Let b(y) be the third derivative of 0*y**3 - 123 + 0*y - 2*y**2 - 3/2*y**4 + 1/70*y**7 + 3/40*y**6 - 1/5*y**5. Let b(w) = 0. What is w?
-3, -2, 0, 2
Suppose 0*w**3 + 5/3*w**2 + 5/6*w**5 + 0 - 5/6*w - 5/3*w**4 = 0. Calculate w.
-1, 0, 1
Let w = 121 - 106. Find r such that 2*r**3 + w*r**2 + 2 - 5*r + 3*r**3 - 10*r**2 - 7 = 0.
-1, 1
Let g(p) be the first derivative of 2*p**3/3 + 784*p**2 + 307328*p + 770. Factor g(j).
2*(j + 392)**2
Let y(v) be the third derivative of -v**6/240 - 13*v**5/20 + 56*v**2 - 48*v. Factor y(r).
-r**2*(r + 78)/2
Suppose 1 = 3*z - 5*h, 5 = -10*z + 13*z - h. Factor -8*f + 13*f**2 + 8*f**2 - 5*f - 22*f**z + 30.
-(f - 2)*(f + 15)
Let g(v) be the third derivative of -v**5/45 + 10*v**4/9 + 448*v**3/9 - 1060*v**2. Let g(j) = 0. Calculate j.
-8, 28
Suppose 0*c = 10*c + 10. Let k(g) = -19*g + 3. Let p be k(c). Find n, given that -8 + p*n - 6*n**2 + 7 - 11 = 0.
2/3, 3
Factor 4/5*f**4 - 1504/5 + 2224/5*f + 164/5*f**3 - 216*f**2.
4*(f - 2)**3*(f + 47)/5
Suppose 4*u = 4 + 56. Suppose t - 8 = -g, u = 4*g - 3*t + 18. Solve -2/15*f**5 + 4/15*f**g + 2/15*f**4 + 0*f**2 + 0 + 0*f = 0 for f.
-1, 0, 2
Let y(v) be the second derivative of -v**9/2880 + v**8/560 - v**7/840 + v**4/3 + v**2/2 + v + 31. Let r(a) be the third derivative of y(a). Factor r(k).
-3*k**2*(k - 2)*(7*k - 2)/4
Factor -54*k - 3*k**3 - 364*k + 522*k + 109*k**2 + 661*k + 29*k**2.
-3*k*(k - 51)*(k + 5)
Let b = 6063 + -6061. Factor -1/2*j**3 - 18*j + 0 + 6*j**b.
-j*(j - 6)**2/2
Let a(q) be the second derivative of 9/2*q**4 + 15/2*q**2 - 4 - 13*q + 6/5*q**5 + 1/10*q**6 + 8*q**3. Factor a(y).
3*(y + 1)**3*(y + 5)
Solve -778688/5 - 126960*d + 54*d**4 + 31096*d**2 + 2/5*d**5 + 2372*d**3 = 0.
-46, -1, 4
Factor 451*l + 4*l**4 - 415*l - l**3 - 4*l**4 - 68*l**2 - 115*l**3 - 12*l**4.
-4*l*(l + 1)*(l + 9)*(3*l - 1)
Suppose -12*a = 5001 - 5025. Let b(v) be the first derivative of 5/2*v**a - 10*v + 10/3*v**3 - 5/4*v**4 - 30. Factor b(d).
-5*(d - 2)*(d - 1)*(d + 1)
Let c(y) be the second derivative of 1/45*y**6 + 8*y + 0*y**2 - 1/189*y**7 + 1/10*y**5 + 0*y**3 - 3 + 5/54*y**4. Let c(a) = 0. Calculate a.
-1, 0, 5
Let o(x) be the second derivative of -21*x**7/2 - 658*x**6/5 + 111*x**5/10 + 25*x**4 + 9*x**3/2 - 2938*x. Suppose o(r) = 0. Calculate r.
-9, -1/7, 0, 1/3
Let x(m) be the second derivative of m**4/32 + m**3/8 + 3*m**2/16 + 5*m + 8. Determine t so that x(t) = 0.
-1
Let k = 1193 - 667. Factor 48*u + 518*u**3 + 12*u**2 + 32*u**2 - 4*u**4 - 144 - k*u**3.
-4*(u - 2)**2*(u + 3)**2
Let u(g) = g**2 - 1. Let k(m) be the first derivative of -m**4/2 - 4*m**3/3 + m**2 + 4*m + 8. Let o(d) = -k(d) - 4*u(d). Factor o(y).
2*y*(y - 1)*(y + 1)
Let r(v) be the third derivative of -3/16*v**4 + 1/40*v**6 + 7/20*v**5 + 44*v + 2*v**2 - 9/4*v**3 - 1/28*v**7 + 0 + 1/224*v**8. Suppose r(p) = 0. Calculate p.
-1, 1, 3
Let x(u) be the first derivative of 2*u**5/15 + 13*u**4/2 + 290*u**3/9 + 59*u**2 + 140*u/3 - 774. Solve x(q) = 0.
-35, -2, -1
Let j(v) be the second derivative of 1/4*v**5 - 119*v + 0 + 5/2*v**4 + 20*v**2 - 25/2*v**3. Determine b so that j(b) = 0.
-8, 1
Factor 400*f**2 - 54*f**3 - 20000*f + 363 - 363 + 52*f**3.
-2*f*(f - 100)**2
Suppose 3*g = -2*n + 8, -3*n = 2*g + 6 - 8. Factor 591*j**3 - 2*j**4 + g*j**4 - 593*j**3.
2*j**3*(j - 1)
Suppose 2*q - 227 + 49 = 2*g, 5*q + g = 439. Let -q*f**2 - 35*f**4 - 130*f**3 + 118 - 47*f**2 - 20*f - 98 = 0. What is f?
-2, -1, 2/7
Suppose 756 = 206*s - 17*s. Let f(i) be the first derivative of 0*i**2 + 4/3*i**3 - 1 - 4/5*i**5 + 0*i**s + 0*i. Determine g, given that f(g) = 0.
-1, 0, 1
Let d(p) be the first derivative of 5*p**4/18 + 1316*p**3/27 - 88*p**2/3 - 2717. Solve d(h) = 0 for h.
-132, 0, 2/5
Let j(g) be the first derivative of -2*g**5/15 - 9*g**4 + 432*g**3 - 6318*g**2 + 39366*g - 6207. What is r in j(r) = 0?
-81, 9
Let k be (60/56*7)/((-3)/4). Let z be 14 + k - (1 + 3). Factor -1/3*b**3 + 4/3 - b**2 + z*b.
-(b - 1)*(b + 2)**2/3
Let l be 2 - (-1)/1*10. Suppose l*b - 164 = 100. Factor -14*n**2 - b*n + 29*n + 0*n**3 + 4 + 3*n**3.
(n - 4)*(n - 1)*(3*n + 1)
Determine i so that 63*i + 37*i - 16*i**2 - 190 + 1006 + 35*i - 11*i = 0.
-17/4, 12
Let w(o) be the second derivative of -23*o**4/4 - 231*o**3 - 60*o**2 - 9874*o. Factor w(m).
-3*(m + 20)*(23*m + 2)
Let t(b) be the first derivative of -14*b**6/3 - 1256*b**5/15 + 38*b**4/3 + 1376*b**3/9 - 34*b**2/3 - 40*b + 3433. Find o, given that t(o) = 0.
-15, -1, -2/7, 1/3, 1
Let a be ((-126)/24)/7 + (-46)/(-8). Suppose 5*l + 5 = 5*d, -a*d - 5 = l - 22. Solve 6*u**2 - u**l - 4*u - u**2 - 8 = 0 for u.
-1, 2
Let j(k) be the third derivative of -37*k**5/100 - 61*k**4/40 - 12*k**3/5 - 355*k**2 - 2*k + 1. Solve j(v) = 0 for v.
-1, -24/37
Let l(f) be the second derivative of -f**5/25 - f**4 + 1922*f**3/15 + 390*f**2 + 3026*f. Let l(m) = 0. Calculate m.
-39, -1, 25
Let z = 12 + -21. Let w be (-2)/z - 12504/(-108). Let o**3 - 116*o - 1 + 3*o**2 - 3 + w*o = 0. What is o?
-2, 1
Factor -60 - 148/3*c - 29/3*c**2.
-(c + 2)*(29*c + 90)/3
Let f be (-3*5 - 3)*20/2700*-15. Factor 0 + 2*s**f + 0*s + 1/4*s**4 + 9/4*s**3.
s**2*(s + 1)*(s + 8)/4
Let p(o) be the first derivative of -34*o**3/15 + 10*o**2 - 64*o/5 - 1222. Factor p(z).
-2*(z - 2)*(17*z - 16)/5
Let 8/7 + 6/7*s**2 + 26/7*s = 0. Calculate s.
-4, -1/3
Suppose 0 = 7*x + 7*x + 112. Let m(g) = g**3 + 8*g**2 + g + 18. Let v be m(x). Factor 20*t**2 + 9*t - 19*t - 3*t**3 - 2*t**3 - v*t.
-5*t*(t - 2)**2
Let l(g) = g**3 + 25*g**2 + 24*g + 7. Let k be l(-24). Suppose w = -k*w. Solve -8/5*i**2 - 2*i**4 - 2/5*i**5 + 0*i + w - 16/5*i**3 = 0.
-2, -1, 0
Let m(s) be the first derivative of s**5/20 + 7*s**4/16 + 5*s**3/4 + 13*s**2/8 + s - 1122. Factor m(o).
(o + 1)**3*(o + 4)/4
Suppose -2240*z + 1/2*z**4 - 3200 + 918*z**2 - 83/2*z**3 = 0. Calculate z.
-1, 4, 40
Suppose 0 = -102*s + 165 + 243. Let y(i) be the second derivative of 0 - 1/30*i**5 + 8/3*i**2 - 4/3*i**3 + 1/3*i**s - 8*i. Factor y(c).
-2*(c - 2)**3/3
Let b(r) be the first derivative of 39 + 24/11*r - 2/33*r**3 - 4/11*r**2. Let b(x) = 0. What is x?
-6, 2
Let l(t) be the first derivative of -10*t**6/3 + 29*t**5 + 985*t**4/4 - 1595*t**3/3 - 1865*t**2/2 + 550*t + 2413. Suppose l(f) = 0. Calculate f.
-5, -1, 1/4, 2, 11
Let h = -1296797/3 - -432267. Let -2/9*p - 2/9*p**2 + h = 0. Calculate p.
-3, 2
Let z be (-1)/(12/8) - 43108/(-6). Suppose -24*h - z = -28*h. Factor -1801*j**3 + 6*j**2 + h*j**3 + j**4 + 0*j**4 + 4*j - 8.
(j - 2)**3*(j + 1)
Let b(t) be the first derivative of 0*t + 0*t**4 - 4*t**3 + 54 + 3/5*t**5 + 1/8*t**6 - 6*t**2. Factor b(p).
3*p*(p - 2)*(p + 2)**3/4
Let t(k) be the third derivative of 19*k**6/80 + k**5/40 - 61*k**3/3 + 4*k**2 - 3*k. Let h(q) be the first derivative of t(q). Factor h(d).
3*d*(57*d + 2)/2
Let h(w) be the third derivative of 0*w**4 + 0 - 1/2016*w**8 - 1/240*w**6 - 15*w**2 - 1/40*w**5 + 0*w**3 + 0*w + 1/252*w**7. Factor h(p).
-p**2*(p - 3)**2*(p + 1)/6
Let b(k) = 10*k**4 - 110*k**3 - 135*k**2 + 630*k - 346. Let a(m) = 5*m**4 - 55*m**3 - 65*m**2 + 315*m - 172. Let f(y) = -7*a(y) + 4*b(y). Factor f(u).
5*(u - 12)*(u - 1)**2*(u + 3)
Suppose -558 = -m + 4*j, -3*m - j + 1241 = -472. Factor -417*n**2 - 24*n**4 + m*n + 291/2*n**3 - 300 + 3/2*n**5.
3*(n - 5)**2*(n - 2)**3/2
Let q = -230612572/3795 - -303838/5. Let b = 4/69 + q. Factor 0 - b*t**3 + 0*t - 2/11*t**2.
-2*t**2*(t + 1)/11
Let s be (-10)/((-3)/(-4) + (-399)/420). Factor 10*o + s - 5*o - 18 - 2 - 5*o**2.
-5*(o - 3)*(o + 2)
Let a(c) be the third derivative of c**6/30 + 4*c**5/5 - 14*c**4/3 + 6*c**2 + 202. Factor a(h).
4*h*(h - 2)*(h + 14)
Suppose 0 - 40/7*n + 2/21*n**3 + 22/21*n**2 = 0. What is n?
-15, 0, 4
Let f(t) be the f