**2/6 - 8*j + 390. Determine p so that n(p) = 0.
-24, -2
Factor -44402/15 - 14404/5*j**2 + 88208/15*j - 2/15*j**4 - 592/15*j**3.
-2*(j - 1)**2*(j + 149)**2/15
Let p(c) = -2*c**2 + 7*c - 5. Let r(x) = -x**2. Let m(b) = p(b) - r(b). Let i be m(4). Factor -4*l**2 + 3*l**2 + 10*l + 6*l**2 + i - 2.
5*(l + 1)**2
Let j = 24425 - 24425. Let y(x) be the second derivative of -40*x + 0 + j*x**3 + 0*x**2 - 1/100*x**5 + 1/30*x**4. Factor y(b).
-b**2*(b - 2)/5
Let v(l) be the third derivative of l**8/2352 + 2*l**7/245 + l**6/105 - 19*l**5/210 - 19*l**4/56 - 11*l**3/21 - 2*l**2 - 3*l - 18. Factor v(w).
(w - 2)*(w + 1)**3*(w + 11)/7
Let o = -3021508/17 - -177740. Factor 30/17*g**3 - 2/17*g**5 + 0 + 0*g - 4/17*g**4 + o*g**2.
-2*g**2*(g - 4)*(g + 3)**2/17
Let x(j) be the first derivative of -4/9*j**3 + 4/3*j - 1/18*j**4 + 1/9*j**2 + 224. Let x(h) = 0. What is h?
-6, -1, 1
Suppose 0 = 3*a - 2*u - 154 + 99, -3*u = 3*a - 45. Let p(v) be the second derivative of -1/24*v**4 + 0 + 0*v**2 - a*v + 0*v**3. Factor p(g).
-g**2/2
Let c(p) be the third derivative of -p**7/7560 - 17*p**6/2160 - p**5/12 + p**4/24 + p**3/2 + 71*p**2. Let m(n) be the second derivative of c(n). Factor m(a).
-(a + 2)*(a + 15)/3
Find j such that 199*j**4 + 63360*j - 312*j**4 - 259*j**4 + 9536*j**3 - 7328 - 41552*j**2 - 23648 + 4*j**5 + 0*j**5 = 0.
1, 2, 44
Let j(n) = -n**4 + 7*n**3 - 67*n**2 + 111*n - 60. Let u(h) = -h**4 + h**2 - h - 4. Let k(v) = -j(v) + 2*u(v). Factor k(i).
-(i - 4)*(i - 1)**2*(i + 13)
Factor -84*p**4 - 82*p**4 + 20*p**2 - 6*p + 161*p**4 - 6*p + 27*p**3.
-p*(p - 6)*(p + 1)*(5*p - 2)
Let z be (5 - (72/16 - 1/(-1)))/(-2). Determine w, given that 0*w + w**4 + 1/4*w**5 - w**2 + 0 - z*w**3 = 0.
-4, -1, 0, 1
Let i(c) be the first derivative of 2*c**6/3 - 12*c**5/5 - 42*c**4 - 400*c**3/3 - 144*c**2 - 2106. Factor i(w).
4*w*(w - 9)*(w + 2)**3
Factor -69*w**2 - 66*w**2 - 20 - 11*w**5 + 130*w**2 + 25*w**3 + 6*w**5 - 40*w + 5*w**4.
-5*(w - 2)**2*(w + 1)**3
Solve 3*q**2 - 14*q**2 - 3391 + 76*q + 3*q**2 - 4*q**3 + 3471 = 0 for q.
-5, -1, 4
Suppose 136*r = 2*t + 131*r + 25, 3*r - 1 = 4*t. Let a = -3 - -5. Determine h, given that -t*h**3 + 64 - 5 - 97*h**a + 261 - 240*h + 22*h**2 = 0.
-8, 1
Suppose 911*o**4 - 938*o**5 - 4740*o - 3273*o**3 + 1013*o**5 - 8232*o**2 + 199*o**4 - 816 = 0. What is o?
-17, -1, -2/5, 4
Let p(n) = 3*n**2 + 2289*n - 2280. Let c(g) = g + 3. Let k(h) = -3*c(h) + p(h). Factor k(a).
3*(a - 1)*(a + 763)
Factor -148*d + 7*d**2 + 233*d + 300 + 2*d**2 + 0*d**2 - 4*d**2.
5*(d + 5)*(d + 12)
Let z(o) = 12*o**2 - 1291*o + 209937. Let h(b) = 5*b**2 - 646*b + 104970. Let s(u) = -5*h(u) + 2*z(u). Determine x so that s(x) = 0.
324
Let u(q) be the first derivative of -q**4/10 - 4*q**3/3 + 144*q**2/5 + 60. Factor u(x).
-2*x*(x - 8)*(x + 18)/5
Let r be 28/((-1456)/(-117))*(5 + -1). Let h(x) be the second derivative of -1/20*x**5 - 1/4*x**4 + 0*x**2 + r*x + 0 - 1/3*x**3. Factor h(j).
-j*(j + 1)*(j + 2)
Let b(d) be the third derivative of 1/180*d**6 + 2/9*d**3 - 1/9*d**4 + 2*d**2 + 0*d - 43 + 1/60*d**5 - 1/630*d**7. Factor b(t).
-(t - 2)*(t - 1)**2*(t + 2)/3
Solve 0 + 4/3*v**3 - 44/3*v**2 + 40*v = 0 for v.
0, 5, 6
Let m(b) be the third derivative of 0*b - 1/420*b**6 + 0*b**5 + 1/12*b**4 - 2/7*b**3 + 112*b**2 + 0. Factor m(l).
-2*(l - 2)*(l - 1)*(l + 3)/7
Let k be (2664/(-1110)*(-1)/(12/56))/((-1)/(-2)). Solve 266*w**3 + 98/5*w**4 - k - 136*w - 636/5*w**2 = 0.
-14, -2/7, 1
Let g = -34044 + 136177/4. Factor 1/2*o**3 + 1/4 - 3/8*o + 0*o**4 - g*o**2 - 1/8*o**5.
-(o - 1)**3*(o + 1)*(o + 2)/8
Let w(p) be the second derivative of -3/2*p**4 - 9/2*p**3 + 22*p - 1/90*p**6 + 1/5*p**5 + 0 + 0*p**2. Let n(o) be the second derivative of w(o). Factor n(b).
-4*(b - 3)**2
Let z(t) = -25*t**5 + 38*t**4 - 34*t**3 - t**2 - 11. Let r(a) = -13*a**5 + 19*a**4 - 17*a**3 - a**2 - 6. Let v(j) = -11*r(j) + 6*z(j). Factor v(h).
-h**2*(h - 1)**2*(7*h - 5)
Let w(y) be the first derivative of -10*y - 1/2*y**4 + 3*y**2 - 19 + 3/2*y**3. Let b(u) be the first derivative of w(u). Find p, given that b(p) = 0.
-1/2, 2
Let w = -2170 + 2172. Let y(b) be the third derivative of -1/240*b**6 + 0*b + 0 + 0*b**3 + 1/48*b**4 - 4*b**w + 0*b**5. Solve y(z) = 0.
-1, 0, 1
Let i be (-6 - 270/(-34)) + (-19)/(-323). Determine u, given that 18*u + 36 + 0*u**i - 2/3*u**3 = 0.
-3, 6
Factor 1/3*u**2 - 1/6*u - 1/6*u**3 + 0.
-u*(u - 1)**2/6
Let s be (-34 - 1681/(-82)) + 14. Factor -1/2*b**3 + 1/4*b**4 + 1/4*b**5 + 1/4 + 1/4*b - s*b**2.
(b - 1)**2*(b + 1)**3/4
Let h(s) be the second derivative of -2*s**6/225 + 7*s**5/150 + s**4/15 - 17*s**3/3 - 2*s + 1. Let j(c) be the second derivative of h(c). Factor j(p).
-4*(p - 2)*(4*p + 1)/5
Let f be (-1)/(-18*8/96). Let s be 3 - (120/9)/5. Find j, given that -j - s*j**2 - f = 0.
-2, -1
Suppose 53*x + 66450 = 3*x. Let k = 9304/7 + x. Suppose 26/7*p - 169/7 - k*p**2 = 0. What is p?
13
Let n(a) be the second derivative of a**6/330 + 5*a**5/11 - 51*a**4/22 + 14*a**3/3 - 103*a**2/22 - 1208*a. Factor n(i).
(i - 1)**3*(i + 103)/11
Suppose -6*p**3 - 430/3*p - 68 + 2/3*p**4 - 82*p**2 = 0. Calculate p.
-6, -1, 17
Let z(r) be the first derivative of 0*r + 0*r**3 + 1/12*r**6 + 0*r**2 - 48 + 7/10*r**5 + 3/2*r**4. Factor z(f).
f**3*(f + 3)*(f + 4)/2
Suppose 722 = 112*u + 170*u - 688. Let f(g) be the first derivative of -1/15*g**3 - 3/10*g**2 + 3/20*g**4 + 52 - 1/25*g**u + 2/5*g. Factor f(l).
-(l - 2)*(l - 1)**2*(l + 1)/5
Let y be ((-3608)/66 - -10) + 45. What is j in -4/3*j**2 - y*j**3 + 0 - j = 0?
-3, -1, 0
Let y(p) be the third derivative of p**5/210 - 622*p**4/21 + 1547536*p**3/21 - 2953*p**2. Solve y(q) = 0 for q.
1244
Let n(f) = 158*f**2 + 5942*f + 2190389. Let x(d) = 43*d**2 + 1486*d + 547597. Let y(l) = -6*n(l) + 22*x(l). Solve y(g) = 0.
-740
Let n(p) be the first derivative of p**4 + 0*p - 9 + 0*p**2 + 1/5*p**5 + p**3. Let n(x) = 0. What is x?
-3, -1, 0
Let w(p) be the second derivative of p**6/135 - 91*p**5/45 + 178*p**4/9 - 2120*p**3/27 + 1408*p**2/9 - 772*p - 1. Factor w(h).
2*(h - 176)*(h - 2)**3/9
Solve -41*n**3 + 36*n**3 + 378 - n**4 - 340*n + 99*n**2 - 11*n = 0.
-14, 3
Let f = -27 + 31. Suppose f*p = 10*p - 12. Let -7*o**2 + 49 - 30*o - 41 - o**p = 0. What is o?
-4, 1/4
Let a be (8/22)/(75660/572 + -131). Factor -6/7*s**2 - a*s**3 + 0 - 4/7*s.
-2*s*(s + 1)*(s + 2)/7
Let l(o) = o**3 - 13*o**2 - 13*o - 11. Let t be l(14). Suppose -t*w = 5*p + 2, -2*p + 3*w + 6 + 10 = 0. Factor 12*v**p + 7*v + 4*v - 3*v.
4*v*(3*v + 2)
Let b be (61 - 15/5)/2. Let z be (b - 29)/(2 - -4). Factor 3*f + 27/2*f**3 + 33/2*f**2 + z.
3*f*(f + 1)*(9*f + 2)/2
Let o(w) be the first derivative of -33/20*w**5 - 299 + 0*w**3 + 3/8*w**4 + 9/8*w**6 + 0*w**2 + 0*w. Find j such that o(j) = 0.
0, 2/9, 1
Let k(q) be the third derivative of -1/480*q**6 + 1/48*q**5 + 0*q - 332*q**2 + 1/8*q**4 + 0 - 3/2*q**3. Find c such that k(c) = 0.
-3, 2, 6
Let a be (28/8 - -6 - 11) + (-33)/(-6). Factor 0*m + 0 - 32/3*m**2 - 2/3*m**5 - 16*m**3 - 6*m**a.
-2*m**2*(m + 1)*(m + 4)**2/3
Let v(l) = -36*l**3 + 165*l**2 - 174*l - 3. Let d(u) = 49*u**3 - 164*u**2 + 175*u + 4. Let g(q) = -3*d(q) - 4*v(q). Factor g(r).
-3*r*(r - 1)*(r + 57)
Suppose 0 = 7*b + 7*b - 294. What is y in -10*y - 49*y**2 - b*y + 4*y**5 - y**4 - 22*y**4 + 78*y**3 - 18*y**4 + 39*y = 0?
0, 1/4, 1, 8
Let z = 217 + -247. Let h be 5 - ((-152)/z - 170/102). Let -88/5*m**4 + 4*m**5 - h - 128/5*m**2 + 52/5*m + 152/5*m**3 = 0. What is m?
2/5, 1
Let f = 45944/3 + -15655. Let n = -339 - f. Factor n*p - 2/3*p**2 + 0 - 2/3*p**3.
-2*p*(p - 1)*(p + 2)/3
Suppose d - 89 = -243. Let w = d - -156. Determine m so that 4/9*m**5 + 40/9*m**w + 4/9 + 20/9*m**4 + 40/9*m**3 + 20/9*m = 0.
-1
Let s(a) be the second derivative of -a**6/660 - a**5/33 - 29*a**4/132 - 20*a**3/33 - 84*a**2 - 3*a - 1. Let w(v) be the first derivative of s(v). Factor w(c).
-2*(c + 1)*(c + 4)*(c + 5)/11
Suppose -3*d - 1715 = 2*r, 853 = -d + 5*r + 270. Let i = 2866/5 + d. Factor 2/5*j + 1/5*j**2 + i.
(j + 1)**2/5
Suppose -11 = -5*h + 3*o, -17*h + 18*h = 4*o - 8. Suppose -2*r + 2 = h*i, -31 + 36 = -5*i - 5*r. Factor -10/3*t + 5/3*t**5 - 5/3*t**4 - 5*t**3 + 0 + 25/3*t**i.
5*t*(t - 1)**3*(t + 2)/3
Find l, given that -l**2 + 31*l + 27*l - 33*l + 26 = 0.
-1, 26
Let s = 5/183 - -2984/183. Let k be ((-10)/(-4))/(20/335) + 77/616. Suppose s*j**3 - 8/3 -