*5/16 + 39*t**4/16 - 185*t**3/24 + 21*t**2/2 - 708*t. Solve s(r) = 0.
-21, 1, 4
Let t(x) be the third derivative of -x**6/240 + 2*x**5/5 + 33*x**4/16 + 25*x**3/6 + 2*x**2 - 9*x - 17. Factor t(l).
-(l - 50)*(l + 1)**2/2
Let o = -73 + 78. Factor -3974*u**3 - o*u**2 + u**4 + 3972*u**3 - 3*u**2.
u**2*(u - 4)*(u + 2)
Let d = 26776 - 26776. Factor 3/2*w**3 - 1/4*w**4 - 5/4*w**2 + d*w + 0.
-w**2*(w - 5)*(w - 1)/4
Let a(i) be the first derivative of -7*i**4 + 60*i + 94*i**2 - 249 + 100/3*i**3. Factor a(r).
-4*(r - 5)*(r + 1)*(7*r + 3)
Suppose 6*z - 491 = -455. Let p(t) be the third derivative of 1/280*t**z + 0*t - 1/70*t**5 + 0*t**3 - 3/56*t**4 - 12*t**2 + 0. Factor p(l).
3*l*(l - 3)*(l + 1)/7
Suppose 21 = 5*l + 4*z, 3*z + 6 - 3 = 0. Suppose -3*h + s + 262 = 0, -s + l*s = -2*h + 170. Factor -d - d**4 + 84*d**2 - h*d**2 - 5*d**3 + 2*d**3.
-d*(d + 1)**3
Let f(t) be the first derivative of -5/4*t**4 + 72 - 8*t + 2*t**3 + 2*t**2 + 1/5*t**5. Find q such that f(q) = 0.
-1, 2
Let l(u) be the second derivative of 85683/2*u**2 + 92*u + 4901/2*u**4 + 0 + 53/10*u**6 - 1/14*u**7 - 1599/10*u**5 - 37349/2*u**3. Factor l(c).
-3*(c - 13)**4*(c - 1)
Let s(b) = 3*b**3 - 193*b**2 + 9603*b + 9805. Let p(a) = -4*a**3 + 191*a**2 - 9603*a - 9807. Let y(f) = -2*p(f) - 3*s(f). Solve y(o) = 0 for o.
-1, 99
Let i be ((-54)/171)/(176/(-836)). Factor 3/2*x - x**3 - 1/2*x**5 + 1/2 + x**2 - i*x**4.
-(x - 1)*(x + 1)**4/2
Let s(h) be the second derivative of 23/10*h**4 - 286/5*h**3 - 2 - 64*h + 1452/5*h**2 - 3/100*h**5. Let s(t) = 0. Calculate t.
2, 22
Factor -37/3*u**2 - 1/6*u**3 - 209/6*u + 142/3.
-(u - 1)*(u + 4)*(u + 71)/6
Let q(o) be the third derivative of -11/360*o**6 - 7/36*o**5 + 185*o**2 - 25/72*o**4 + 0*o**3 + 0*o + 0 - 1/630*o**7. Suppose q(g) = 0. Calculate g.
-5, -1, 0
Let j(t) be the first derivative of -t**6/30 + 23*t**5/120 + t**4/12 - 4*t**3/3 + t**2 + 6. Let k(s) be the third derivative of j(s). Factor k(h).
-(h - 2)*(12*h + 1)
Let g(p) be the second derivative of 7*p**6/30 + 47*p**5/20 + 35*p**4/6 - 4*p**3 + 11049*p. Let g(v) = 0. What is v?
-4, -3, 0, 2/7
Let u(s) be the third derivative of -3*s**8/2240 + s**7/240 + s**6/120 - s**5/12 + s**3/3 + 17*s**2 + s. Let c(i) be the third derivative of u(i). Factor c(y).
-3*(y - 1)*(9*y + 2)
Let o be (-1408)/(-34496) - 2/49. Find m such that o + 5/3*m**3 + 8/3*m**2 + 4/3*m + 1/3*m**4 = 0.
-2, -1, 0
Factor -56/3 - 16/3*y**2 + 76/3*y - 4/3*y**3.
-4*(y - 2)*(y - 1)*(y + 7)/3
Suppose 0 = 5*b - 26 + 6. Suppose -a - 30 = b*u - 118, -5*a = -3*u + 43. Factor -15*p**4 - u*p + 18*p - 51*p**3 - 14*p - 6 - 16*p - 63*p**2.
-3*(p + 1)**3*(5*p + 2)
Let v be (7 - -38)/(-20 + 1495/52). Solve -50/7*n + 6/7*n**2 - v = 0.
-2/3, 9
Let a(f) be the first derivative of -2*f**5/5 + 10*f**4 - 12*f**3 - 20*f**2 + 38*f + 7348. Find i, given that a(i) = 0.
-1, 1, 19
Suppose -5*t = -3*u - 5, 0 = 29*u - 31*u + t - 1. Let j(b) be the second derivative of -1/70*b**5 + 15*b + u*b**2 + 0 - 3/7*b**3 + 1/7*b**4. Factor j(o).
-2*o*(o - 3)**2/7
Let x be (74/(-16) + 27/(-72))/(-1). Let f be (-175)/(-25) - x/1. Factor 5/4 - 1/4*c**f - c.
-(c - 1)*(c + 5)/4
Let g(j) be the first derivative of -5*j**3/3 + 485*j**2/2 + 8400*j - 7459. Factor g(c).
-5*(c - 112)*(c + 15)
Let j(d) = -5*d**2 + 3*d + 2. Let l = -167 + 174. Let b(s) = 6*s**2 - 3*s - 3. Let w(v) = l*j(v) + 6*b(v). Factor w(z).
(z - 1)*(z + 4)
Let q be (7 - -9)/(-64)*-32. Let l(h) be the first derivative of -q - 2*h**2 + 6*h - 2/3*h**3. Factor l(b).
-2*(b - 1)*(b + 3)
Factor -459*y + 92*y**2 + 64*y**3 + 1200 + 1704318*y**4 - 1704314*y**4 - 901*y.
4*(y - 3)*(y - 1)*(y + 10)**2
Suppose 685*r - 1356*r + 342*r + 2832*r + 3457*r - 5*r**2 = 0. Calculate r.
0, 1192
Let t = 1346111/5 - 269219. Suppose 26/5*d**2 + 0 + 2/5*d**4 + t*d**3 + 12/5*d = 0. What is d?
-6, -1, 0
Let a(t) = -11*t**4 - 57*t**3 - 91*t**2 - 45*t - 1. Let q(w) = w**4 + 2*w**3 + w**2 + 1. Let h(s) = -a(s) - q(s). Solve h(f) = 0.
-3, -3/2, -1, 0
Let y = -67/1061 + 2591/7427. Factor -72/7*t - y*t**3 + 0 - 24/7*t**2.
-2*t*(t + 6)**2/7
Suppose -26*g - 6*g = -224. Let k(j) be the third derivative of 0*j**4 - 1/315*j**g - 1/180*j**6 + 1/45*j**5 + 0*j**3 + 0*j + 10*j**2 + 0. Factor k(x).
-2*x**2*(x - 1)*(x + 2)/3
Factor -85*q - 14*q**2 - 15*q**2 + 43*q**2 - 15*q**2.
-q*(q + 85)
Factor 5*n**3 + 2914*n**2 - 5470*n**2 + 2621*n**2 - 340*n.
5*n*(n - 4)*(n + 17)
Let m(w) = -w**3 + 15*w**2 - 42*w - 20. Let n be m(11). Factor 22*g**n + 2*g**2 + 4*g**3 - 20 - 4*g**2 - 4*g.
4*(g - 1)*(g + 1)*(g + 5)
Let n(z) be the second derivative of -12*z + 6 + 0*z**3 + 0*z**2 - 7/36*z**4 - 1/120*z**5. Factor n(q).
-q**2*(q + 14)/6
Let l be (32 - 50 - (1 + -18)) + (3 - 0). Solve 4/13 - 2/13*m**l - 2/13*m = 0.
-2, 1
Let 291*h**4 + 300 + 9*h**5 - 211*h**2 + 11*h**5 - 1255*h**3 + 1235*h + 46*h**2 - 426*h**4 = 0. Calculate h.
-5, -1, -1/4, 1, 12
Let a(g) be the first derivative of -14/3*g**3 - 50/7*g - 14 + 10*g**2. Factor a(u).
-2*(7*u - 5)**2/7
Let b(q) be the first derivative of 2*q**3/33 - 159*q**2/11 + 316*q/11 - 8634. Factor b(l).
2*(l - 158)*(l - 1)/11
Let n be 42294/1007 - 522/15. Factor 1/5*s**3 + 0 + 12/5*s**2 + n*s.
s*(s + 6)**2/5
Suppose -5*f + 15 = -3*v, 4*f + 0*f + 3*v = 39. Let k(h) be the first derivative of 1/24*h**f + 0*h**3 + 0*h**5 - 1/16*h**4 + 0*h - 10 + 0*h**2. Factor k(w).
w**3*(w - 1)*(w + 1)/4
Suppose -4*q + 209*u - 204*u = -52, 5*q = 3*u + 39. Find l, given that 4107/4 - 3885/4*l - 219/4*l**2 - 3/4*l**q = 0.
-37, 1
Let 7*o**4 + 1396*o - 8*o**4 - 65022*o**2 + 131072 - 27925*o + 46086*o + 47003*o - 511*o**3 = 0. What is o?
-256, -1, 2
Factor 6*m**3 + 891 - 97/4*m**2 - 873*m + 1/4*m**4.
(m - 11)*(m - 1)*(m + 18)**2/4
Let r(c) be the second derivative of -1/50*c**6 + 6/25*c**5 - 19/20*c**4 + 7*c + 0 + 0*c**2 + 6/5*c**3. Solve r(p) = 0 for p.
0, 1, 3, 4
Let x = 23392/34953 + -30/11651. Factor -40/3*r + 6*r**2 + 8 - x*r**3.
-2*(r - 6)*(r - 2)*(r - 1)/3
Let c(q) be the second derivative of 5*q**4/24 + 15*q**3/4 + 10*q**2 + 1580*q. Let c(f) = 0. What is f?
-8, -1
Let b = -59215 + 59219. Let -1 + 7/4*m**3 - 5/4*m**2 - b*m = 0. What is m?
-1, -2/7, 2
Let j(o) be the second derivative of -1083/4*o**2 - 19/2*o**3 + 3 - 1/8*o**4 - 3*o. Factor j(v).
-3*(v + 19)**2/2
Let k(m) = -m - 12. Suppose -11 = -7*f - 109. Let d be k(f). Factor -39 + 137 - 24*g - d*g + 2*g**2 - 2*g.
2*(g - 7)**2
What is q in -8/3*q**3 - 4/3*q - 2/3*q**4 + 0 - 10/3*q**2 = 0?
-2, -1, 0
Let z = 38 - 22. Let x = 19 - z. Find j, given that 4*j - 5*j - 2*j**x + j**4 + 3*j**3 - j**2 = 0.
-1, 0, 1
Factor -464/9 - 1/9*g**3 - 229/9*g**2 + 694/9*g.
-(g - 2)*(g - 1)*(g + 232)/9
Let m(v) be the first derivative of v**7/168 + 11*v**6/72 + v**5 - 15*v**4/2 - 35*v**3 + 6. Let b(q) be the third derivative of m(q). Factor b(y).
5*(y - 1)*(y + 6)**2
Suppose 252/5 + 24*v**3 + 519/5*v + 18/5*v**4 + 1/5*v**5 + 74*v**2 = 0. Calculate v.
-7, -4, -3, -1
Let i(w) be the third derivative of 0*w**3 + 0*w - 31/840*w**7 + 16*w**2 - 1/48*w**4 + 2 + 31/240*w**5 + 1/240*w**6. Find q such that i(q) = 0.
-1, 0, 2/31, 1
Let t(u) be the third derivative of 4/15*u**7 + 2/15*u**6 + 1/28*u**8 + 2*u**2 + 0 + 3/2*u**4 - 88*u + 0*u**3 - 2*u**5. Let t(h) = 0. What is h?
-3, 0, 1/3, 1
Let p = 9314 + -5466. Factor -2222 + p + 4497 + 640*j + 11628 + 2729 + 5*j**2.
5*(j + 64)**2
Let t = 245 - 245. Let j(f) be the first derivative of 8/13*f - 2/39*f**3 + 9 + t*f**2. Suppose j(q) = 0. What is q?
-2, 2
Factor -3*y**2 - 477*y - 41 - 729 - 191 + 19.
-3*(y + 2)*(y + 157)
Factor 499*g + 4*g**3 - 864 - 72*g**2 - 91*g + 24*g.
4*(g - 6)**3
Let r(f) = f**2 + 10*f. Let y(v) be the third derivative of -v**4/24 - 19*v**2. Suppose -7 = 3*h + 4*h. Let b(n) = h*r(n) - 6*y(n). Factor b(m).
-m*(m + 4)
Let m(z) be the first derivative of -z**4/30 + 118*z**3/15 - 1679*z**2/15 + 1002*z/5 - 4992. Suppose m(b) = 0. What is b?
1, 9, 167
Let z(k) = -6*k**3 - 454*k**2 + 920*k - 462. Let r(w) = -31*w**3 - 2269*w**2 + 4598*w - 2309. Let s(n) = 2*r(n) - 11*z(n). Solve s(d) = 0 for d.
-116, 1
Let r(o) be the second derivative of -1/540*o**6 + 0*o**2 - 5/3*o**3 + 1/36*o**4 + 0 - 8*o + 0*o**5. Let i(m) be the second derivative of r(m). Factor i(v).
-2*(v - 1)*(v + 1)/3
Let c = -210 - -213. Factor c*x**3 + 3096*x + 3358*x + 6250*x + 5767*x - 3342*x + 369*x**2 + 206763.
3*(