ative of 1/60*j**6 + 49/12*j**3 - 235*j**2 + 197/48*j**4 + 0 + 0*j + 5/3*j**5. Factor l(p).
(p + 49)*(2*p + 1)**2/2
Let h = 47466 + -284795/6. Factor 1/6*s**3 - h*s**2 + 0*s + 0.
s**2*(s - 1)/6
Let p(n) = -n**2 + n. Suppose 16*k + 513 = 129. Let w(q) = -q**3 + 6*q**2 - 7*q + 2. Let m(i) = k*p(i) - 3*w(i). Let m(z) = 0. Calculate z.
-2, -1, 1
Let d = -96 + 135. Suppose -h = 12*h - d. Find g, given that -3*g**3 + 0*g**h + 0*g**3 - g**3 - 16*g**2 = 0.
-4, 0
Let t(a) be the second derivative of a**6/60 + 59*a**5/40 + 7*a**4/3 - 29*a**3/3 + 31*a + 6. Factor t(h).
h*(h - 1)*(h + 2)*(h + 58)/2
Factor 175*s - 4*s**2 + 171*s - 514*s - 4*s**4 - s**2 + 166*s + 11*s**3.
-s*(s - 2)*(s - 1)*(4*s + 1)
What is m in 95 - 1160*m + 315*m**3 + 5*m**5 - 85*m**4 + 651 + 265*m**2 - 86 = 0?
-2, 1, 6, 11
Suppose -3*y - 96 = -5*m, -y + 2*m + 21 = -2*y. Let h be 6/y*-3*3. Suppose 6*i + 2*i**3 - 6*i**h + 0*i + 9*i - 11*i = 0. Calculate i.
0, 1, 2
Let y(s) = 3*s - 12. Let m be y(5). Suppose -36 = -m*u - 30. Find w, given that -1 - 10 + 2 - 3*w**u - 15*w - 3 = 0.
-4, -1
Let b be 25/(600/648) - 27. Factor -16*m**5 + b + 1/4*m + 9*m**3 + 11/4*m**2 + 4*m**4.
-m*(m - 1)*(4*m + 1)**3/4
Let j = 1/34176 + 5613407/34176. Let k = j - 164. Factor 5/4 + k*t**2 - 3/2*t.
(t - 5)*(t - 1)/4
Factor -18/11*x - 2/11*x**3 - 16/11*x**2 + 36/11.
-2*(x - 1)*(x + 3)*(x + 6)/11
Let n = 11709581/10 + -1169429. Let f = n + -1529. Factor f*z**3 + 2/5*z**2 + 0 + 0*z.
z**2*(z + 4)/10
Let j(q) be the third derivative of -289*q**6/420 - 58*q**5/21 - 293*q**4/84 - 2*q**3/21 + 6*q**2 - 3*q - 72. Factor j(t).
-2*(t + 1)**2*(289*t + 2)/7
Let v = 3612 + -39730/11. What is s in 4/11*s**3 + v - 2/11*s - 2/11*s**5 + 2/11*s**4 - 4/11*s**2 = 0?
-1, 1
Suppose -564*o = -591*o + 54. Let w(j) be the first derivative of 0*j - j**5 - 35/4*j**4 - 25/2*j**o - 22 - 55/3*j**3. Factor w(k).
-5*k*(k + 1)**2*(k + 5)
Let r be 15 - 70*(-9)/(-54). Let d(l) be the first derivative of r*l**3 - 9*l**2 + 13 - 4*l. Factor d(g).
2*(g - 2)*(5*g + 1)
Let y(d) be the first derivative of -d**5/5 + 11*d**4/4 + 61*d**3/3 - 11*d**2/2 - 60*d + 1174. Suppose y(u) = 0. What is u?
-4, -1, 1, 15
Solve -81/4 + 33/4*l**2 - 3/4*l**3 - 45/4*l = 0 for l.
-1, 3, 9
Let o(u) be the second derivative of u**4/4 - 101*u**3/2 + 150*u**2 - 3309*u. Find y such that o(y) = 0.
1, 100
Let a(x) be the third derivative of -5*x**8/336 + 13*x**7/42 - 43*x**6/24 - 17*x**5/12 + 95*x**4/3 + 280*x**3/3 + 20*x**2 - 108*x. Let a(n) = 0. What is n?
-1, 4, 7
Let g(x) = -x**3 - 20*x**2 + 23*x + 44. Let z be g(-21). Suppose 4*j**z - 69*j + 18*j + 23*j = 0. What is j?
0, 7
Let k be (-9)/2*8/(-12). Factor 10*u**k + 1 - 1513*u**2 - 2*u**4 + 1541*u**2 - 1.
-2*u**2*(u - 7)*(u + 2)
Solve -3483/7 - 6969/7*v - 3489/7*v**2 - 3/7*v**3 = 0.
-1161, -1
Let x = -11145/2 + 5580. Let s = -20 + 23. Factor -6*o + 43/4*o**2 + 1 - x*o**s + 7/4*o**4.
(o - 2)*(o - 1)**2*(7*o - 2)/4
Let w = -48008 + 193427/4. Let v = -348 + w. Factor 3/2*s**3 - 3/2 + 15/4*s**2 + v*s.
3*(s + 1)*(s + 2)*(2*s - 1)/4
Let c(h) be the second derivative of 3*h**5/10 - 253*h**4/9 + 112*h**3/9 + 19*h + 24. Factor c(t).
2*t*(t - 56)*(9*t - 2)/3
Let u(v) = -5*v**2 - 754*v - 138380. Let h(p) = 27*p**2 + 3775*p + 691898. Let j(c) = -2*h(c) - 11*u(c). Factor j(t).
(t + 372)**2
Suppose -35609 = -309*i - 34991. Solve 3*w**i - 21/2*w + 9/2 = 0 for w.
1/2, 3
Suppose t = 5, 4*y + y - 2*y + 33 = 12*t. Factor 78/5 + 3/5*i**2 + y*i.
3*(i + 2)*(i + 13)/5
Let o(l) = 8*l**2 + 10*l + 2. Let c(i) = 33*i**2 + 40*i + 7. Let y be (-10)/1 + 2/2. Let t = -113 - -115. Let p(u) = t*c(u) + y*o(u). Factor p(d).
-2*(d + 1)*(3*d + 2)
Let n be (-39698)/(-15534) + (-1)/(-3)*-2*12/(-18). Factor -7*x**n + 0 + 5/4*x**4 + 0*x - 3*x**2.
x**2*(x - 6)*(5*x + 2)/4
Let s(p) = -p**3 + 128*p**2 + 273*p. Let w(d) = -2*d**3 + 243*d**2 + 547*d. Let o(b) = -5*s(b) + 3*w(b). Factor o(q).
-q*(q - 92)*(q + 3)
Determine w, given that 2/11*w**2 + 30 - 76/11*w = 0.
5, 33
Let h(a) be the first derivative of a**4/2 + 7054*a**3/3 + 3111695*a**2 + 6216338*a + 11299. Factor h(z).
2*(z + 1)*(z + 1763)**2
Let f(m) be the first derivative of -23 - 6/7*m + 13/14*m**2 + 3/28*m**4 + 2/3*m**3. Factor f(b).
(b + 2)*(b + 3)*(3*b - 1)/7
Let q(i) = -i**4 - i**3 - i**2. Let c(u) = 2*u**5 - 8*u**4 - 96*u**3 + 28*u**2 + 104*u. Let w(f) = 2*c(f) + 20*q(f). What is s in w(s) = 0?
-4, -1, 0, 1, 13
Let r(c) be the third derivative of -c**7/70 - c**6/60 - c**2 - 122*c. Factor r(h).
-h**3*(3*h + 2)
Suppose -2*c + 18 = 4*c. Let n(q) = q**3 - 4*q**2 + 4*q - 3. Let o be n(c). Factor -2*f - f**2 + 0*f**2 - 5 + 4 + o*f.
-(f + 1)**2
Suppose -3*x = -2*a - 7, 10 = 2*a - 4*a + 4*x. Solve 84*r**3 - 13 + 3368*r - 27*r**2 + 39*r**4 + a - 3452*r = 0 for r.
-2, -1, -2/13, 1
Let c be 30/255 - (-338)/17. Solve -34*o**3 + 70*o**5 - c*o + 119*o**3 + 15*o**2 - 195*o**4 + 45*o**2 = 0 for o.
-1/2, 0, 2/7, 1, 2
What is q in 215 + 35 - 30*q**3 + q**4 + 29*q**3 - 411*q + 236*q - 75*q**2 = 0?
-5, 1, 10
Suppose 0 = -3*l - 14 + 74. Suppose 72*s**3 + 4*s**5 - 194*s**4 - 17*s**2 + l*s - 47*s**2 + 162*s**4 = 0. Calculate s.
0, 1, 5
Suppose -9*v + 12*v + y = 27, 0 = 2*y - 6. Let j be v + (-153)/21 - (-1)/(-7). Factor 6/7*s**2 + 2/7*s**3 - 2/7*s**4 - 10/7*s + j.
-2*(s - 1)**3*(s + 2)/7
Suppose -m + 11*d - 37 = 8*d, -3*d + 49 = 5*m. Factor -26/7*z + 0 + 2/7*z**m.
2*z*(z - 13)/7
Let t(b) = 6*b**2 + 11*b**2 + 204*b + 4085 + 1747 + 4172. Let x(z) = -13*z**2 - 203*z - 10003. Let j(u) = 3*t(u) + 4*x(u). What is l in j(l) = 0?
-100
Let m(n) = -n**3 - 5*n**2 + 17*n + 73. Let r be m(-3). Determine s so that 48/7*s**2 - 2*s + 4/7*s**3 - 12/7 + 10/7*s**5 - 36/7*s**r = 0.
-1, -2/5, 1, 3
Let v = -18/5 - -146/35. Suppose -26*a = -22*a - n - 16, -5*a + 50 = -5*n. Solve -10/7*j - v + 2/7*j**3 + 2/7*j**4 - 6/7*j**a = 0 for j.
-1, 2
Let l(v) be the second derivative of v**7/84 + 4*v**6/15 - 13*v**5/20 - 41*v**4/6 - 191*v**3/12 - 17*v**2 - 6*v - 15. Solve l(n) = 0 for n.
-17, -1, 4
Let v be (-5)/7 - (-525)/49. Let x be (-1472)/(-480) - -2*(-2)/v. Factor x + 4/3*o + 1/6*o**2.
(o + 4)**2/6
Suppose -2/11*u + 0 + 36*u**3 + 261/11*u**2 = 0. Calculate u.
-2/3, 0, 1/132
Let l(u) be the first derivative of 11/2*u**4 - 86 - 20*u**2 + 2/5*u**5 + 0*u + 16/3*u**3. Factor l(r).
2*r*(r - 1)*(r + 2)*(r + 10)
Solve -1102736/9 - 164/3*a**2 - 13448/3*a - 2/9*a**3 = 0 for a.
-82
Let d = -1994651/10 + 199466. Let j = 373/5 + -74. Factor 1/10*a**2 - j*a**3 + d*a**4 - 2/5*a**5 + 0 + 0*a.
-a**2*(a - 1)**2*(4*a - 1)/10
Factor -4722*c**3 + 4726*c**3 - 11*c**2 + 127*c**2 + 223*c**2 - 39*c**2.
4*c**2*(c + 75)
Factor -22*c + 0 - 2/5*c**2.
-2*c*(c + 55)/5
Let p(r) be the first derivative of 2*r**5/15 - 31*r**4/6 - 130*r**3/9 - 11*r**2 - 510. What is q in p(q) = 0?
-1, 0, 33
Let t be (-7)/(-42)*15*-8. Let a be t/(-490)*14 - (-20)/14. Solve -3/8*d**a - 3/2*d + 15/8 = 0 for d.
-5, 1
Suppose 0 = -3*a + 5*u - 599, 597 = -3*a + 11*u - 8*u. Let c = -195 - a. Suppose -25/4*i**2 + 3/4 - 2*i**4 + 13/2*i**c + i = 0. Calculate i.
-1/4, 1, 3/2
Let b(v) be the third derivative of 17/54*v**3 - 2/27*v**4 + 0*v - 127*v**2 - 1/540*v**5 + 0. Factor b(f).
-(f - 1)*(f + 17)/9
Let h(m) be the second derivative of -2*m**4 - 16*m**2 - 1/5*m**5 + 76*m + 0 - 8*m**3. Solve h(p) = 0.
-2
Let b be 2/(-7 + 299/39) + -3. Let p(h) be the first derivative of 0*h**5 + b*h**2 + 1/2*h**4 + 0*h - 1/12*h**6 - 22 + 0*h**3. Suppose p(r) = 0. Calculate r.
-2, 0, 2
Solve 17/2*y**2 + y + 0 - y**3 - 17/2*y**4 = 0 for y.
-1, -2/17, 0, 1
Factor 2/19*o**4 + 44/19*o**3 + 1320/19*o + 362/19*o**2 + 1800/19.
2*(o + 5)**2*(o + 6)**2/19
Solve 45 + 1/6*z**2 + 271/6*z = 0 for z.
-270, -1
Let m be (50/8)/((-775)/(-620)). Let o(x) be the third derivative of -1/330*x**m + 1/66*x**4 + 0*x - 16*x**2 + 0*x**3 + 0. Let o(c) = 0. What is c?
0, 2
Factor 8/17 - 2536/17*o + 200978/17*o**2.
2*(317*o - 2)**2/17
Let f(p) be the second derivative of -p**4/16 + 21*p**3/8 - 57*p**2/4 + 2079*p. Factor f(g).
-3*(g - 19)*(g - 2)/4
Suppose 5*c = -88 + 123. Suppose 0 = -8*q + 9 + c. Suppose -17*v + 513 + 45*v**3 - 8*v - 15*v**q - 518 = 0. What is v?
-1/3, 1
Let d(k) be the first derivative of k**4/16 - 293*k**3/12 - 589*k**2/8 - 295*k/4 + 706. Factor d(r).
(r - 295)*(r + 1)**2/4
Let n(a) be the first derivative of -a**5 + 165*a**4 + 665*a**3/3 + 1520