4/3 + q*t**2 + 2/3*t**3 = 0.
-2, -1
Let l(n) = 55*n**3 - 230*n**2 + 65*n + 10. Let c(x) = -82*x**3 + 344*x**2 - 99*x - 14. Let d(v) = -5*c(v) - 7*l(v). Factor d(q).
5*q*(q - 4)*(5*q - 2)
Let k = -62/91 + 20/13. Let d = 144/287 - 3/41. Determine x, given that -d*x**2 + 3/7*x + k = 0.
-1, 2
Let q(b) be the second derivative of -b**5/120 + 5*b**4/48 + 17*b**2 - b - 42. Let x(p) be the first derivative of q(p). Factor x(i).
-i*(i - 5)/2
Let b(z) = -4*z**2 + 151*z - 529. Let o(s) = -3*s**2 + 153*s - 528. Let h(x) = -6*b(x) + 7*o(x). Determine p, given that h(p) = 0.
-58, 3
Let d = -1060/113 + 6882/565. Find y, given that -46/5*y**2 - d*y**3 + 128/5*y + 8 = 0.
-5, -2/7, 2
Let h = -379 + 468. Factor h*q**2 - 75*q**3 - 18 + 36 + 177*q + 331*q**2.
-3*(q - 6)*(5*q + 1)**2
Let y(j) be the third derivative of j**6/300 + 4*j**5/5 - 121*j**4/60 + 639*j**2. Factor y(m).
2*m*(m - 1)*(m + 121)/5
Let t(y) be the third derivative of -2*y**7/21 + 14*y**6/15 - y**5/5 - 28*y**4/3 - 40*y**3/3 + 6275*y**2. Solve t(p) = 0 for p.
-1, -2/5, 2, 5
Factor -211*p**3 - 8*p**2 + 390 + 418*p**3 + 575*p + 188*p**2 - 212*p**3.
-5*(p - 39)*(p + 1)*(p + 2)
Let t = -322111/16380 - 1383/260. Let l = t - -178/7. Factor 2/9*k**2 - 2/9*k**3 + 0 + l*k.
-2*k*(k - 2)*(k + 1)/9
Let u(r) be the third derivative of r**6/660 + 7*r**5/33 + 133*r**4/132 - 68*r**3/11 + 267*r**2 + 2*r - 11. Let u(o) = 0. Calculate o.
-68, -3, 1
Let u(l) be the second derivative of 1/12*l**4 - 1/6*l**3 + 0*l**2 - 118*l + 0. Factor u(q).
q*(q - 1)
Let f(n) be the second derivative of -29*n**4/42 + 20*n**3/21 + 13*n + 47. Find z such that f(z) = 0.
0, 20/29
Let u = 625 + -497. Find g, given that 30*g + 4 + 2*g**3 + 130*g**2 - 4 + u*g**2 - 226*g**2 = 0.
-15, -1, 0
Let c(s) be the first derivative of 15*s**6/2 - 9*s**5/2 - 165*s**4/4 + 665*s**3/18 - 55*s**2/6 + 6775. Determine i, given that c(i) = 0.
-2, 0, 1/3, 11/6
Let i(o) be the third derivative of -o**7/42 + 277*o**6/24 - 1610*o**5 + 7935*o**4/2 - 57*o**2 + 6. Let i(j) = 0. What is j?
0, 1, 138
Find z, given that 8070*z**2 + 7*z + 9*z + z**3 - 16146*z**2 + 8068*z**2 = 0.
0, 4
Suppose -37*i - 35*i - 24*i = -9*i. Factor 37/5*a**4 - 429/5*a**3 + 4394/5*a + i - 1/5*a**5 + 1183/5*a**2.
-a*(a - 13)**3*(a + 2)/5
Let j(n) be the third derivative of -n**5/30 - 265*n**4/12 - 526*n**3/3 - n**2 + 295*n - 5. Factor j(c).
-2*(c + 2)*(c + 263)
Factor 73*t + 2*t**3 + 6*t**2 + 35*t**2 + 7*t + 35*t**2 - 6*t.
2*t*(t + 1)*(t + 37)
Let s(g) = -24*g**4 + 68*g**3 + 38*g**2 - 49*g - 21. Let i(y) = 120*y**4 - 340*y**3 - 192*y**2 + 244*y + 104. Let f(a) = 3*i(a) + 16*s(a). Solve f(w) = 0 for w.
-2/3, -1/2, 1, 3
Let b = 188 - 132. Factor -23*g**2 + 52*g + 9*g**2 + 10*g**2 + b.
-4*(g - 14)*(g + 1)
Determine m so that 172*m + 58 - 418 + 76*m**2 - 72*m**2 = 0.
-45, 2
Factor 38*u**2 - 26/3*u**3 + 2/3*u**4 + 100/3 - 190/3*u.
2*(u - 5)**2*(u - 2)*(u - 1)/3
Suppose -21 = -3*o - 9. Factor 4*j - 2*j**2 + o*j**5 + 0*j**5 + 2*j**4 - 5*j**3 - j**3 - 2*j**5.
2*j*(j - 1)**2*(j + 1)*(j + 2)
Let -10*m**5 - 7*m**5 - 900*m + 45*m**4 - 2303 + 195*m**2 - 9*m**5 + 803 + 29*m**5 + 213*m**3 = 0. Calculate m.
-5, -2, 2
Suppose -2*i = -11*i + 27. Suppose 0 = 5*j - 9 - 11. Factor -34*a**2 - 16 + 48*a + 12*a**j - 2*a**2 - 9*a**3 + a**i.
4*(a - 1)**2*(a + 2)*(3*a - 2)
Let h = -186 + 223. Let -9 + 3*l**5 - 656*l**2 - 35*l + 3 + 590*l**2 - 2*l**4 - h*l**3 - 6*l**4 - 11*l**3 = 0. What is l?
-1, -1/3, 6
Let b(o) be the third derivative of 361/11*o**4 - 18*o**2 + 0*o + 1/660*o**6 - 2 + 19/55*o**5 + 54872/33*o**3. Solve b(g) = 0 for g.
-38
Factor -81394*g**4 + 40697*g**4 - 75*g**3 + 40700*g**4.
3*g**3*(g - 25)
Let w(t) = -9*t**4 + 391*t**3 - 265*t**2 - 123*t + 102. Let a(s) = -2*s**4 + s**3 - s**2 + s + 17. Let m(r) = 6*a(r) - w(r). Find k such that m(k) = 0.
-129, -1/3, 0, 1
Let m be (-14*(-4)/16)/(15/(-30)). Let o be (216/84)/((-8)/m) - 2. Factor 0 + o*t**2 + 1/2*t.
t*(t + 2)/4
Let j(f) be the second derivative of -5/4*f**4 + 5*f**2 - 48*f + 1/4*f**5 + 0 - 5/6*f**3 + 1/6*f**6. Factor j(r).
5*(r - 1)**2*(r + 1)*(r + 2)
Factor -364/5 + 726/5*i - 72*i**2 - 2/5*i**3.
-2*(i - 1)**2*(i + 182)/5
Let u(h) be the first derivative of h**4/8 - 257*h**3/2 - 580*h**2 - 774*h + 5260. Factor u(d).
(d - 774)*(d + 1)*(d + 2)/2
Factor 0*a - 2/13*a**3 + 0 - 248/13*a**2.
-2*a**2*(a + 124)/13
Let a(u) be the second derivative of -u**4/12 - 19*u**3/6 - 39*u**2 + 197*u + 6. Factor a(d).
-(d + 6)*(d + 13)
Let m(r) = -28*r**3 - 36*r**2 + 94*r - 70. Let z(f) = -1 - 3*f**3 + 4486*f - 4486*f. Let i(j) = 2*m(j) - 20*z(j). Factor i(d).
4*(d - 15)*(d - 2)*(d - 1)
Let g(j) be the second derivative of -5*j**4/12 + 1085*j**3/3 - 235445*j**2/2 - 1517*j + 2. Suppose g(r) = 0. Calculate r.
217
Determine w so that -87/2*w - 90 + 3/4*w**2 = 0.
-2, 60
Let v(y) = 3*y**4 + 32*y**3 + 127*y**2 + 126*y - 4. Let z(q) = 12*q**4 + 129*q**3 + 507*q**2 + 504*q - 15. Let s(p) = 15*v(p) - 4*z(p). Factor s(b).
-3*b*(b + 2)*(b + 3)*(b + 7)
Let n(j) be the third derivative of 0 + 0*j**3 - 1/5*j**5 - 1/120*j**6 + 13/24*j**4 + 0*j + 75*j**2. Factor n(l).
-l*(l - 1)*(l + 13)
Let o(s) be the first derivative of 3/4*s**4 + 31 - 8*s**3 + 0*s + 24*s**2. Determine w, given that o(w) = 0.
0, 4
Let y(a) be the first derivative of a**7/315 - a**5/45 + a**3/9 - a**2 - 17*a + 85. Let j(x) be the second derivative of y(x). Factor j(u).
2*(u - 1)**2*(u + 1)**2/3
Let a = -322 - -382. Let n be a/90 + 2/(-6). Let 2/3*l**3 - n*l**5 + 0*l**4 - 1/3*l + 0 + 0*l**2 = 0. Calculate l.
-1, 0, 1
Let d(b) = b**3 - 1119*b**2 + 1119*b**2 + b. Let u(r) = -7*r**3 - 6*r. Let k be -4 - -6 - (-1 - -2). Let v(w) = k*u(w) + 6*d(w). Factor v(a).
-a**3
Let s be 0 - -1 - (1 + -2). Let z be (5/(-36)*116/(-435))/((-5)/(-45)). Factor z - 2/3*r + 1/3*r**s.
(r - 1)**2/3
Factor -72*w - 11*w**3 + 100*w - 2*w**4 + 37*w**3 + 17*w + 91*w + 128*w**2.
-2*w*(w - 17)*(w + 2)**2
Let b be -10 + 5 - (-877)/1. Let a = -870 + b. Find w such that 0*w + 5/6*w**a + 0 = 0.
0
Let f(r) be the third derivative of 1/36*r**6 + 68*r**2 + 1/504*r**8 + 11/945*r**7 + 0 + 1/54*r**4 + 1/30*r**5 + 0*r + 0*r**3. Suppose f(v) = 0. Calculate v.
-1, -2/3, 0
Let w = -164/2491 + 25402/7473. Factor w + 2/9*d**5 - 86/9*d - 10/9*d**4 + 76/9*d**2 - 4/3*d**3.
2*(d - 5)*(d - 1)**3*(d + 3)/9
Solve -649*b + 284*b**3 - 795*b + 800*b**2 + 4*b**4 + 356*b = 0.
-68, -4, 0, 1
Let 0*c - 12/5*c**4 - 64/5*c**3 + 64/5 - 96/5*c**2 = 0. What is c?
-2, 2/3
Let t(p) = -2*p**2 + 363*p - 319. Let n(z) = -z**2 + 345*z - 316. Let w(j) = 3*n(j) - 2*t(j). Factor w(g).
(g - 1)*(g + 310)
Let k(o) = 5*o**3 + 22*o**2 - 21*o - 6. Let j(n) = -6*n**3 - 23*n**2 + 22*n + 7. Let t = -23 - -17. Let p(m) = t*j(m) - 7*k(m). Factor p(x).
x*(x - 15)*(x - 1)
Solve 2/7*r**3 + 1392/7*r + 1394/7*r**2 + 0 = 0.
-696, -1, 0
Let s(t) be the first derivative of t**5/15 - 3*t**4/2 + 32*t**3/3 - 64*t**2/3 + 2044. Determine f, given that s(f) = 0.
0, 2, 8
Let m(z) = z**2 - z - 2. Let a be m(-6). Let u be 2/16 - (-2488)/64. Find k such that 4*k**2 - 2*k**2 - a*k**3 + 0*k**2 + u*k**3 = 0.
0, 2
Let p be 2/(-13) - 28/(-13). Factor -12*w**2 - 10*w + 0*w**2 + 7*w**p + 15.
-5*(w - 1)*(w + 3)
Factor 1049*c**3 + 32*c**2 - 502*c**3 - 631*c**3 + 44*c + 8.
-4*(c - 1)*(3*c + 1)*(7*c + 2)
Let h = 202 - 187. Let p(j) be the second derivative of 0 + 1/4*j**5 - 5/12*j**4 - 5/6*j**3 + 5/2*j**2 + h*j. Factor p(n).
5*(n - 1)**2*(n + 1)
Find s, given that -755*s**2 + 1079*s**4 + 143*s + 765*s**3 - 148*s - 300*s - 324*s**4 - 5*s**5 - 455*s = 0.
-1, 0, 1, 152
Let b(s) = 6*s**2 - 2*s**2 + 4*s**2 - s**3 - 13 + 23*s - 12. Let l be b(10). Factor 4*u**4 + 3/2*u**l + 0*u + 0 + 2*u**3 + 0*u**2.
u**3*(u + 2)*(3*u + 2)/2
Suppose -448/3*m - 8/3*m**4 - 1/3*m**5 + 28*m**3 + 0 - 32/3*m**2 = 0. What is m?
-14, -2, 0, 4
Let l be (3 - 18)*(-63 - -6). Let b = l + -853. Find d such that 4/5*d**b + 8/5*d**4 + 0 + 0*d - 18/5*d**3 = 0.
0, 1/4, 2
Let c be (-6)/(2/4 - 2). Suppose -3*t - 39 = -5*k, -9 = -c*k - t + 12. What is r in -r + 4*r**3 - k*r**3 + 2*r**2 + 5*r = 0?
-1, 0, 2
Let m(t) = -t**3 - 4*t**2 + 7*t - 27. Let z = 494 + -500. Let i be m(z). Factor 0*y**4 + 2/3*y**i + 0*y + 0*y**2 - 2/3*y**5 + 0.
-2*y**3*(y - 1)*(y + 1)/3
Let q(m) be the first derivative of 26 - 10/7*m**3 - 20/7*m - 11*m**2. Solve q(t) = 0 for t.
-5, -2/15
Find b such that