be the second derivative of 5/4*z**4 + 3/20*z**5 + 6*z**2 + 4*z**3 - q*z + 0. Factor n(r).
3*(r + 1)*(r + 2)**2
Let m(n) be the first derivative of -n**6/12 - 2*n**5/5 - 5*n**4/8 - n**3/3 - 256. Factor m(a).
-a**2*(a + 1)**2*(a + 2)/2
Let f(t) be the second derivative of -t**4/12 - 19*t**3/6 - 39*t**2 - 21*t - 39. Factor f(b).
-(b + 6)*(b + 13)
Let v(r) = 27*r**3 - 40*r**2 - 18*r - 15. Let t(w) = -13*w**3 + 20*w**2 + 8*w + 6. Let s(b) = 5*t(b) + 2*v(b). Factor s(d).
-d*(d - 2)*(11*d + 2)
Let l = 2304/23 + -25298/253. Determine s so that -l*s**2 - 36/11*s - 162/11 = 0.
-9
Find k, given that -396*k**2 - 349*k**3 + 122*k - 246*k**3 + 1006*k**2 - 202*k + 65*k**4 = 0.
0, 2/13, 1, 8
What is h in -3/8*h**5 + 0 + 21/8*h**2 - 3/4*h + 15/8*h**4 - 27/8*h**3 = 0?
0, 1, 2
Let h(k) be the second derivative of k**5/100 - 21*k**4/20 + 31*k**3/15 + 2*k - 2203. Solve h(a) = 0 for a.
0, 1, 62
Factor -25/7*v - 116/7 + 1/7*v**2.
(v - 29)*(v + 4)/7
What is q in 46/13*q**4 - 4/13*q**5 - 118/13*q**3 - 64/13 + 136/13*q + 32/13*q**2 = 0?
-1, 1/2, 2, 8
Let z(r) be the third derivative of -1/270*r**5 + 0*r + 0 + 0*r**3 + 98*r**2 + 5/108*r**4. Determine g, given that z(g) = 0.
0, 5
Let j be (-7826)/2236*8/(-21). Factor 1/3*b**3 + 16 + j*b - 8/3*b**2.
(b - 6)*(b - 4)*(b + 2)/3
Let a(l) be the third derivative of -l**6/60 + 6*l**5/5 - 47*l**4/3 + 80*l**3 - 3*l**2 + 34. Factor a(t).
-2*(t - 30)*(t - 4)*(t - 2)
Let p(v) be the second derivative of 0*v**2 - 8*v - 1/120*v**5 + 1/9*v**3 + 1/6*v**4 - 1/60*v**6 + 4. Factor p(b).
-b*(b - 2)*(b + 2)*(3*b + 1)/6
Find k, given that 1/6*k**5 - k**4 + 0*k + 0 - 55/6*k**3 + 0*k**2 = 0.
-5, 0, 11
Let t be (3/2)/(2/(-4)). Let k be t/(-6)*(-896)/(-196). Factor 2/7*q**2 + 2/7*q**5 - 2/7*q**4 + k*q + 8/7 - 10/7*q**3.
2*(q - 2)**2*(q + 1)**3/7
Let z = -11239/3 - -22483/6. Let f(v) be the third derivative of 1/30*v**5 + 0 + 3*v**3 - 33*v**2 + 0*v + z*v**4. Suppose f(c) = 0. Calculate c.
-9, -1
Let o(y) be the third derivative of -y**7/1155 + 17*y**6/330 + 18*y**5/55 + 5*y**4/6 + 37*y**3/33 + 1718*y**2. Factor o(d).
-2*(d - 37)*(d + 1)**3/11
Let j(v) be the second derivative of -v**6/30 - 2*v**5/5 + 32*v**4/3 + 2392*v. Find m such that j(m) = 0.
-16, 0, 8
Let k be (2 - (-7)/(35/(-8)))*-1095. Let u = k + 440. Factor -22/15*w**u - 26/15*w - 4/15.
-2*(w + 1)*(11*w + 2)/15
Let y(o) = -o**2 + 67*o - 162. Let i(z) = -4*z**2 + 336*z - 812. Suppose 18*h + 42 = 4*h. Let t(l) = h*i(l) + 16*y(l). Solve t(f) = 0 for f.
3, 13
Let m = 1307/2 - 653. Let b(u) be the first derivative of 0*u + 5/9*u**3 + 25 + m*u**2. Factor b(v).
v*(5*v + 3)/3
Let c(w) be the second derivative of -w**5/80 - w**4/12 + 5*w**3/24 + 1293*w. Suppose c(z) = 0. What is z?
-5, 0, 1
Let s = 12 + -7. Suppose 6*f = 2*l + 3*f - 5, 4*l + 5*f = 65. Factor 2*q**s + l*q**4 - 11*q**3 + 4*q + 36*q**2 + 47*q**2 - 69*q**2 + 29*q**3.
2*q*(q + 1)**3*(q + 2)
Let u(h) = 2*h**4 - 38*h**3 - 26*h**2 + 1272*h - 2338. Let p(t) = t**4 - 9*t**3 - 3*t**2 - 1. Let o(y) = -2*p(y) - u(y). Factor o(d).
-4*(d - 13)*(d - 3)**2*(d + 5)
Suppose -6*q + 22 = -14. Let k be 9*((-2)/24)/(q/(-24)). Determine x so that 80*x + 28*x**3 - 32*x**k - 44*x**3 - 66*x**2 - 16 + 14*x**2 = 0.
-2, 1/4, 2/3
Let i be 0 + 21 - (-440)/(-24). Suppose -2*h - 3 + 11 = 0. Find k, given that 0 - i*k + 1/2*k**5 + h*k**3 + 0*k**2 + 8/3*k**4 = 0.
-2, 0, 2/3
Let i(a) = -6*a**3 - 42*a**2 + 6*a + 46. Let d(p) = p**3 - p**2 - p - 1. Let b(q) = 2*q**2 + 42*q + 38. Let n be b(-20). Let x(v) = n*d(v) - i(v). Factor x(j).
4*(j - 1)*(j + 1)*(j + 11)
What is w in 2/13*w**2 + 56/13*w + 0 = 0?
-28, 0
Let k = 8135/7 + -40654/35. Let i(j) be the second derivative of -k*j**2 + 2/15*j**3 + 1/30*j**4 + 0 - 11*j. Factor i(m).
2*(m - 1)*(m + 3)/5
Suppose 3*y + 1007 = -4*u + 1075, 5*u - 57 = -2*y. Determine x, given that -9/2*x**4 + 0 - 25/2*x**3 - 27/2*x**2 - 1/2*x**5 - u*x = 0.
-5, -2, -1, 0
Let c(r) be the third derivative of r**6/540 - 73*r**4/108 - 8*r**3/3 - 674*r**2. Factor c(p).
2*(p - 9)*(p + 1)*(p + 8)/9
Let w(x) be the third derivative of -x**5/12 + 35*x**4/6 + 145*x**3/6 + 7034*x**2. Determine s, given that w(s) = 0.
-1, 29
Let c = -222 + 218. Let v be (c/78)/((-9)/27). Factor v*l**2 + 0 + 2/13*l.
2*l*(l + 1)/13
Let p(o) be the second derivative of -o**4/4 - 164*o**3/15 + 22*o**2/5 - 61*o + 4. Suppose p(d) = 0. Calculate d.
-22, 2/15
Suppose -43536*u + 43488*u + 384 = 0. Let 3*g**3 + 84/11*g - u*g**2 - 4/11*g**4 - 16/11 = 0. Calculate g.
1/4, 2, 4
Let s(i) be the first derivative of -4/7*i - 2/21*i**3 - 3/7*i**2 - 10. Factor s(j).
-2*(j + 1)*(j + 2)/7
Let z(b) be the third derivative of -b**6/300 + 2*b**5/15 - 16*b**4/15 + 924*b**2. Factor z(d).
-2*d*(d - 16)*(d - 4)/5
Suppose -81*l - 153 = -17*l - 281. Factor -w**3 - 1/2*w + 3/2*w**l + 0.
-w*(w - 1)*(2*w - 1)/2
Let j = 621/29 - 1155/58. Let h(f) be the first derivative of 8 + 0*f**5 - 2/3*f**3 - f**4 + j*f**2 + 1/6*f**6 + 2*f. Suppose h(t) = 0. Calculate t.
-1, 1, 2
Let i(s) = 9*s - 33. Let q be i(4). Factor 480*j + 3*j**2 + 1 - 1 - 3*j**4 - 6*j**q - 474*j.
-3*j*(j - 1)*(j + 1)*(j + 2)
Let v(f) be the first derivative of -f**4/28 - f**3/14 - 39*f + 50. Let z(s) be the first derivative of v(s). Find j such that z(j) = 0.
-1, 0
Suppose -3*g - 163*g**3 + 20*g**2 - 10*g**4 + 13*g**2 + g**4 + 12*g + 178*g**3 = 0. What is g?
-1, -1/3, 0, 3
Let s be ((-26312)/(-154) - 7*1)*-9. Let o = s + 1475. Factor o + 18/7*d**2 - 20/7*d.
2*(d - 1)*(9*d - 1)/7
Let j be (-80)/16*2/5. Let p be j + 11 + (-102)/17. Suppose 1/8*o**p - 1/8*o + 1/8*o**2 - 1/8*o**4 + 0 = 0. What is o?
-1, 0, 1
Let z = -4212/61 + 8485/122. Factor -z*o**3 + 4 - 3/2*o**2 + 3*o.
-(o - 2)*(o + 1)*(o + 4)/2
Let m(j) be the second derivative of -j**6/30 - 737*j**5/140 + 13*j**4/2 + 850*j**3/21 + 212*j**2/7 - 3398*j. Suppose m(x) = 0. What is x?
-106, -1, -2/7, 2
Let x(v) be the second derivative of -5*v**4/12 + 130*v**3 - 775*v**2/2 + 18*v + 71. Determine s, given that x(s) = 0.
1, 155
Let t(a) be the first derivative of 5*a**6/48 - 7*a**5/40 - 23*a**4/32 - 5*a**3/24 + 3*a**2/8 + 2208. Find n such that t(n) = 0.
-1, 0, 2/5, 3
Let -60*c**2 - 312*c + 110*c**3 + 5*c**4 - 800 - 128*c + 240*c**2 = 0. Calculate c.
-20, -2, 2
Let x(u) = 5*u**2 + 355*u + 2310. Let w(r) = 5*r**2 + 353*r + 2310. Let g(s) = -5*w(s) + 6*x(s). Factor g(j).
5*(j + 7)*(j + 66)
Factor -74*i + 17*i**3 + 40*i**2 - 19*i**3 - 1456 + 1492.
-2*(i - 18)*(i - 1)**2
Let i(y) = -y**3 + 4*y**2 - y - 3. Let b be -6*5/(-20)*(-8)/(-6). Let s be i(b). Factor 240*r**2 - 13*r**s + 16 + r**3 - 260*r**2 + 4*r**4 + 12*r.
4*(r - 4)*(r - 1)*(r + 1)**2
Suppose -3*j = -q - 21, 11 = 5*j + 4*q + 27. Find k, given that 3/4*k**2 + 0*k + k**3 + 1/4*k**j + 0 = 0.
-3, -1, 0
Factor -2/3*m**4 + 38024/3*m - 6532*m**2 + 392/3*m**3 - 18818/3.
-2*(m - 97)**2*(m - 1)**2/3
Let p = -7 - 1. Let l(q) = 4 + 4*q - 8*q**4 + 4*q**4 - 12*q**5 + 0*q. Let y(c) = c**5 + c**3 + c**2 - c - 1. Let j(f) = p*y(f) - l(f). Factor j(o).
4*(o - 1)**2*(o + 1)**3
Let h(p) be the third derivative of -p**5/330 + 2*p**4/33 + 60*p**3/11 - 96*p**2 - 9. Factor h(d).
-2*(d - 18)*(d + 10)/11
Suppose 2*f - 65 = -11*f. Factor 1 + 3496*a + 3*a**3 - 3499*a + 4*a**4 + 0 - f*a**2.
(a - 1)*(a + 1)**2*(4*a - 1)
Suppose 4*u - 12 - 68 = -4*a, 3*a - 3*u = 30. Suppose -16*o = -a*o. Suppose -1/4*z**2 - 1/4*z**4 + 0*z + 1/2*z**3 + o = 0. Calculate z.
0, 1
Let z(d) be the third derivative of -d**7/105 - 2*d**6/15 - 13*d**5/30 - d**4/2 + 2*d**2 - 177. Factor z(j).
-2*j*(j + 1)**2*(j + 6)
Factor 1033 - 685*h**2 + 1025 - 2068 + 173*h - 50*h**4 - 549*h**3 - 31*h**4.
-(h + 2)*(h + 5)*(9*h - 1)**2
Let o = 424 - -34. Factor -o*n**2 - 68 + 715*n**2 - 56 - 389*n**2 + 252*n + 4*n**3.
4*(n - 31)*(n - 1)**2
Suppose -431*y**4 + 44*y**3 - 16*y**5 - 19*y**2 + 834*y**4 + 7*y**2 - 435*y**4 = 0. What is y?
-3, 0, 1/2
Suppose -34*p + 46*p - 185*p + 651 = 44*p. Let -86/5*m**2 - 1/5*m**5 - 11/5*m**4 + 59/5*m + 54/5*m**p - 3 = 0. What is m?
-15, 1
Let n(y) be the third derivative of -y**6/120 - 14*y**5/15 + 59*y**4/6 - 40*y**3 + 8*y**2 + 26. Suppose n(h) = 0. What is h?
-60, 2
Let a(i) be the second derivative of -i - 1/3*i**3 + 1/5*i**6 + 0*i**2 + 1/6*i**4 - 42 + 1/2*i**5. Factor a(w).
2*w*(w + 1)**2*(3*w - 1)
Factor -1/3*u**2 + 7820/3*u - 15288100/3.
-(u - 3910)**2/3
Let l(h) be the fir