)*(r + 2)
Suppose 1360*p**3 - 608/3*p + 1832/3*p**2 + 0 - 18*p**4 = 0. What is p?
-2/3, 0, 2/9, 76
Let -90442599*q + 90440195*q - 4*q**2 + 2898 - 490 = 0. Calculate q.
-602, 1
Suppose 0*y - 12*y**4 + 0 + 104/3*y**3 + 4/3*y**5 - 32*y**2 = 0. Calculate y.
0, 2, 3, 4
Let z = -629 + 635. Let f be 7/147*-75*z/(-5). Determine w so that 6/7*w**2 - f + 24/7*w = 0.
-5, 1
Let q be (-1944)/14580 + (-137)/(-15) + (-9 - 0)/1. Factor 8/3*v + 32/9 + q*v**2 - 2/9*v**3.
-2*(v - 4)*(v + 2)**2/9
Let l(o) = 19*o**2 - 1472*o - 1463. Let s(b) = -21*b**2 + 1473*b + 1462. Let q(w) = -8*l(w) - 7*s(w). Suppose q(j) = 0. What is j?
-1, 294
Let p(c) be the third derivative of -c**6/30 - 46*c**5/15 - 425*c**4/6 + 5000*c**3/3 + 8*c**2 + 14*c. Let p(d) = 0. What is d?
-25, 4
Let z(j) be the third derivative of j**7/105 - 11*j**6/60 + 4*j**5/5 + 3*j**4 - 3464*j**2. Factor z(m).
2*m*(m - 6)**2*(m + 1)
Let q = 345/71 - 3643/852. Let g(l) be the third derivative of 2*l**3 - 1/6*l**5 - 4*l**2 + 0*l + 0 + q*l**4. Solve g(z) = 0.
-3/5, 2
Let s(l) be the second derivative of -1/24*l**6 + 1/6*l**4 - 2*l**3 - 1/30*l**5 + 0 + l + 0*l**2. Let h(w) be the second derivative of s(w). Factor h(y).
-(3*y + 2)*(5*y - 2)
Let i(c) = 13*c**2 + 89*c + 67. Let u(q) = -12*q + 104. Let t be u(9). Let y(k) = 6*k**2 + 44*k + 34. Let v(z) = t*i(z) + 9*y(z). Factor v(n).
2*(n + 1)*(n + 19)
Suppose -2609 - 7076 = 13*j. Let n = 747 + j. Find y such that -2/5*y**3 - 6/5*y - 2/5 - 6/5*y**n = 0.
-1
Suppose -3*v - 143 = 4*z + 348, -3*z - 3*v - 372 = 0. Let d = z + 121. Factor 12*u + 0*u**2 + 12 + 4*u**d - 28*u.
4*(u - 3)*(u - 1)
Let w(b) be the second derivative of -b**6/80 - b**5/8 + 39*b**2/2 + 47*b. Let o(y) be the first derivative of w(y). Suppose o(p) = 0. What is p?
-5, 0
Let v = 2157 - 2155. Let u(a) be the second derivative of 0 + 1/10*a**4 + 16*a - 3/5*a**v + 0*a**3. Solve u(q) = 0.
-1, 1
Let d(z) = 32*z**3 - 33*z**2 + 50*z - 24. Let v(y) = 5*y**3. Let x(w) = 4*d(w) - 20*v(w). Let x(k) = 0. What is k?
1, 12/7, 2
Let u be (-30)/(-315) + (-248)/(-42). Let d be 5 - 3 - (-7 + u + 3). Solve -2/7 + d*x + 2/7*x**2 = 0 for x.
-1, 1
Suppose 672/5 - 136/5*a + 4/5*a**2 = 0. What is a?
6, 28
Let t(u) be the third derivative of u**5/20 - 139*u**4/8 + 204*u**3 + 2252*u**2. Suppose t(j) = 0. What is j?
3, 136
Let w = -2553299/3 - -851105. Let w*j - 12 + 1/3*j**2 = 0. What is j?
-18, 2
Factor 53/3*x - 80 - 1/3*x**2.
-(x - 48)*(x - 5)/3
Let f(i) be the first derivative of -60 + 1/6*i**3 + i**2 - 6*i. Factor f(t).
(t - 2)*(t + 6)/2
Factor u**4 + 220*u**3 - 240*u**3 + 110*u**2 - 109*u + 19*u - 29*u**2.
u*(u - 15)*(u - 3)*(u - 2)
Let v(x) be the first derivative of x**4/12 + 128*x**3/9 + 253*x**2/6 + 42*x + 2233. Factor v(f).
(f + 1)**2*(f + 126)/3
Let j(l) = 24*l**4 - 25*l**3 - 22*l**2 - 3*l - 13. Let q(w) = 22*w**4 - 22*w**3 - 22*w**2 - 2*w - 12. Let z(s) = -12*j(s) + 13*q(s). Factor z(v).
-2*v*(v - 5)*(v - 1)**2
Solve -141*l - 174*l**3 + 18*l**3 + 4*l**4 - 3*l**4 - 20*l**2 - 616*l**2 - 499*l = 0 for l.
-2, 0, 160
Let f(s) be the second derivative of s**6/20 - 219*s**5/40 - 75*s**4/8 + 73*s**3/4 + 111*s**2/2 - 436*s + 2. Solve f(y) = 0.
-1, 1, 74
Let p(v) be the third derivative of -v**7/630 - 7*v**6/360 + 29*v**5/180 + 29*v**4/24 - 6*v**3 + 1431*v**2. Solve p(j) = 0.
-9, -3, 1, 4
Let y(s) be the second derivative of -s**6/30 - 17*s**5/20 + 19*s**4/4 - 59*s**3/6 + 10*s**2 + 266*s + 3. Find w such that y(w) = 0.
-20, 1
Find b such that -8*b**3 + 128*b - 1/5*b**4 + 57/5*b**2 - 656/5 = 0.
-41, -4, 1, 4
Let q(h) = 93*h**5 - 3281*h**4 - 1472*h**3 - 168*h**2 + 4. Let g(d) = -96*d**5 + 3280*d**4 + 1472*d**3 + 169*d**2 - 5. Let b(f) = 4*g(f) + 5*q(f). Factor b(x).
x**2*(x - 41)*(9*x + 2)**2
Suppose -4*j + 5 = d, -8*d = -11*d - 2*j + 15. Let f be (7 + -15)/(d*1/(-1)). Factor 4/5*q - f - 4/5*q**3 + 8/5*q**2.
-4*(q - 2)*(q - 1)*(q + 1)/5
Let z(d) = 45*d**4 + 388*d**3 + 142*d**2 - 790*d + 320. Let p(m) = -m**3 + m**2 - 15*m. Let b(s) = -2*p(s) + z(s). Factor b(r).
5*(r + 2)*(r + 8)*(3*r - 2)**2
Let x(l) be the first derivative of -1/15*l**5 + 0*l - 12*l**2 - 4*l**3 + 5/6*l**4 - 10. Let n(d) be the second derivative of x(d). Factor n(p).
-4*(p - 3)*(p - 2)
Let r(a) = -3*a**2 + 3*a - 2. Suppose 7 - 31 = -6*l. Suppose -l*n + 80 = 4*n. Let w(o) = 7*o**2 - 7*o + 5. Let f(q) = n*r(q) + 4*w(q). Factor f(i).
-2*i*(i - 1)
Let v be 1033/20*(-17 - -5). Let r = 621 + v. What is h in -2/5 - 4/5*h**2 - r*h = 0?
-1, -1/2
Let a = -296 + 297. Let h(d) = d**5 + 2*d**2 + d - 1. Let u(c) = 9*c**5 - 6*c**4 + 18*c**2 + 3*c - 6. Let l(m) = a*u(m) - 6*h(m). Let l(b) = 0. What is b?
-1, 0, 1
Let u(q) be the second derivative of -q**4/18 + 4*q**3 - 60*q**2 - q - 133. Factor u(l).
-2*(l - 30)*(l - 6)/3
Let c = 2/297873 + 10127672/1489365. Find l such that c - 36/5*l + 2/5*l**2 = 0.
1, 17
Let q be (-2)/4 - (-7)/(-42)*-339. Factor q*g - 27*g + 3*g**2 + 3888 + 187*g.
3*(g + 36)**2
Let x(r) = -176*r + 4579. Let v be x(26). Factor -1/4*w**5 - 1/4*w**2 + 0 + 0*w + 1/4*w**v + 1/4*w**4.
-w**2*(w - 1)**2*(w + 1)/4
Factor -1316*l + 1149*l + 5*l**2 + 1547*l + 95220.
5*(l + 138)**2
Suppose -2*v - 80 = 2*l, 5*v + 4*l = 4*v - 25. Let t = v + 47. Let 0*b**3 - 12*b**t - 16*b + 12*b**4 + 19*b**3 + 5*b**3 - 8*b**3 = 0. Calculate b.
-4/3, -1, 0, 1
Let q(y) be the second derivative of y**5/70 - 3*y**4/14 - 30*y**3/7 - 3*y + 800. Determine i, given that q(i) = 0.
-6, 0, 15
Let x(n) be the second derivative of -2*n**5/5 + 5*n**4/6 + 65*n**2/2 + 12*n - 3. Let r(q) be the first derivative of x(q). Determine f so that r(f) = 0.
0, 5/6
Let c(i) be the third derivative of i**6/360 - 35*i**5/36 + 2581*i**4/24 - 841*i**3/2 - i**2 + 34. Factor c(h).
(h - 87)**2*(h - 1)/3
Let x be (1*(-28)/6)/((-112)/4536). Solve -20*p**4 + 6 + 22 + 45*p**4 + x*p**3 - 9*p**3 - 108*p + 19*p**2 = 0 for p.
-7, -1, 2/5
Let 124/3*j**3 + 50/3*j**4 - 176/3*j**2 + 0*j + 0 + 2/3*j**5 = 0. What is j?
-22, -4, 0, 1
Let s(r) be the second derivative of 0 + 0*r**3 - 1/40*r**5 + 87*r - 1/40*r**6 + 0*r**4 + 0*r**2 + 1/84*r**7. Factor s(j).
j**3*(j - 2)*(2*j + 1)/4
Let b(a) be the second derivative of -a**7/14 + 19*a**6/10 - 12*a**5 - 25*a**4 - a - 230. Solve b(w) = 0.
-1, 0, 10
Suppose 202*n**2 - 96*n + 38*n**5 + 12468 + 14*n**4 - 110*n**3 - 12460 - 47*n**4 - 9*n**4 = 0. Calculate n.
-2, 2/19, 1
Let r(w) be the second derivative of 11*w + 4 + 0*w**3 - 3/100*w**5 + 0*w**2 + 1/20*w**4. Let r(i) = 0. Calculate i.
0, 1
Let b(i) be the third derivative of -i**7/42 + 13*i**6/8 - 383*i**5/12 + 575*i**4/8 - i**2 - 14*i - 85. Solve b(x) = 0.
0, 1, 15, 23
Let a = -21 + 24. Suppose -5*n**2 + 320 - 166 - 160 + 14*n + 2*n**a - 5*n**2 = 0. Calculate n.
1, 3
Let b(t) be the first derivative of t**8/112 + t**7/35 - t**6/40 - t**5/10 + t**2 + 5*t - 136. Let i(r) be the second derivative of b(r). Factor i(j).
3*j**2*(j - 1)*(j + 1)*(j + 2)
Factor -87973954/19 - 2118/19*x**2 - 2/19*x**3 - 747654/19*x.
-2*(x + 353)**3/19
Let r be 9/5 - (-1)/5. Factor 2*v**5 - 4100 + 4100 + r*v - 4*v**3.
2*v*(v - 1)**2*(v + 1)**2
Let k(y) be the first derivative of 2/39*y**3 - 60 + 32/13*y + 10/13*y**2. Let k(j) = 0. What is j?
-8, -2
Let m(r) = -5*r**2 - 5*r - 12. Suppose -98 = -13*q - 20. Let v(h) = 20*h**2 + 20*h + 50. Let y(a) = q*v(a) + 25*m(a). Let y(n) = 0. Calculate n.
-1, 0
Let b(n) = n**2 - 16*n + 30. Let h be b(14). Determine z, given that -2*z + 36 - 19*z - 12 + 37*z + h*z**2 = 0.
-6, -2
Let x be (-3)/1*21/(-21). Suppose 28 = 4*a - t, -t - 21 = -x*a + 4*t. Find u such that -a - 57*u**3 - 4*u + 61*u**3 + 0*u + 12*u**2 - 5 = 0.
-3, -1, 1
Factor 792*b + 729/4 + 3*b**3 + 1011/4*b**2.
3*(b + 3)*(b + 81)*(4*b + 1)/4
Factor 20992/3 - 23/6*q**2 - 800/3*q + 1/6*q**3.
(q - 32)**2*(q + 41)/6
Let q = -239 + 3109/13. Let k = -4258 - -55358/13. Factor k*y**3 - 2/13*y**2 + q*y**4 + 0 - 4/13*y.
2*y*(y - 1)*(y + 1)*(y + 2)/13
Let l(y) be the first derivative of 0*y**2 - 2/3*y**6 + 25 - 16/3*y**3 + 12/5*y**5 + 0*y**4 + 0*y. Factor l(n).
-4*n**2*(n - 2)**2*(n + 1)
Let o(b) be the third derivative of 0*b + 1/900*b**6 + 0 + 1/450*b**5 - 149*b**2 - 1/90*b**4 + 0*b**3. Solve o(j) = 0.
-2, 0, 1
Suppose 6*t + 414 = -420. Let o = -136 - t. Determine f so that 2 - 1/2*f**o - 4*f + 5/2*f**2 = 0.
1, 2
Let x(z) be the first derivative of -13*z**6/3240 - z**5/135 + 13