or 2/17*o**4 - 112/17*o**3 + 970/17*o**2 + 0 - 2300/17*o.
2*o*(o - 46)*(o - 5)**2/17
Let w be 187/5 + (-30)/(-50). Let d(g) be the first derivative of -w*g - 8*g**3 - 5*g**4 - 6*g**4 + 10*g**4 - 24*g**2 - 12 + 6*g. Factor d(z).
-4*(z + 2)**3
Let d(l) be the first derivative of -l**3 - 273*l**2 - 543*l + 2264. Solve d(q) = 0.
-181, -1
Factor -509385*o**4 + 509399*o**4 + 936*o**3 - 436*o**2 + 586*o**3.
2*o**2*(o + 109)*(7*o - 2)
Let w(d) be the first derivative of -d**6/16 + 57*d**5/40 + 75*d**4/32 - 103*d**3/8 + 45*d**2/4 + 6460. Determine r so that w(r) = 0.
-3, 0, 1, 20
Let v be 12837/1556 + (-34)/8. Factor 2/13*a**2 + 16/13*a**5 - 8/13*a**v + 8/13*a - 20/13*a**3 + 2/13.
2*(a - 1)**2*(2*a + 1)**3/13
Let f be ((-2688)/952)/(72/(-1088)). Solve f - 28/3*g**3 + 224/3*g + 22*g**2 + 2/3*g**4 = 0 for g.
-1, 8
Let q = -1372 - -1417. Let y(u) be the third derivative of 0*u**3 + 0*u + 0 - q*u**2 + 1/24*u**6 + 2/15*u**5 + 1/8*u**4. Factor y(m).
m*(m + 1)*(5*m + 3)
Let x(g) be the third derivative of 0*g - 1/24*g**4 + 0*g**3 + 1/30*g**7 + 13/120*g**6 + 1/12*g**5 + 0 + 77*g**2. Factor x(z).
z*(z + 1)**2*(7*z - 1)
What is d in 676/5 - 4/5*d + 172/5*d**3 - 507/5*d**2 - 1/5*d**4 = 0?
-1, 2, 169
Let d(l) be the second derivative of -13*l**7/1260 + l**6/180 + l**4/6 + 4*l**2 + l - 20. Let u(v) be the third derivative of d(v). Let u(t) = 0. Calculate t.
0, 2/13
Let u(h) be the third derivative of -4/35*h**7 - 5/6*h**4 + 2/5*h**5 + 0 + 0*h + 350*h**2 + 0*h**3 + 1/84*h**8 + 2/15*h**6. Factor u(v).
4*v*(v - 5)*(v - 1)**2*(v + 1)
Let v(i) be the third derivative of -i**5/30 - 121*i**4/3 - 58564*i**3/3 - 333*i**2 + 1. Solve v(z) = 0 for z.
-242
Let i(c) = -c**2 + 8*c + 5. Let b be i(8). Suppose 19 = -3*l - b*q, 4*l = -q + 4 - 1. Factor -56*y**l + 15*y + y**3 - 2*y**4 - 3*y**3 - 16 + 68*y**2 - 7*y.
-2*(y - 2)*(y - 1)*(y + 2)**2
Factor -1135 + 1340*l - 75*l**3 + 50*l**3 - 785*l**2 + 1795.
-5*(l - 2)*(l + 33)*(5*l + 2)
Let -427*r**5 + 81 - 38*r**2 + 12*r**4 - 154*r**2 + 159 - 12*r + 212*r**5 - 51*r**3 + 218*r**5 = 0. What is r?
-5, -2, 1, 4
Let q = 168/1415 - -2326/4245. Factor -8 + q*a**2 + 8/3*a.
2*(a - 2)*(a + 6)/3
Let g = -17593 - -17595. Factor -572/5*d**g - 2/5*d**4 + 72/5*d**3 - 722/5 - 1368/5*d.
-2*(d - 19)**2*(d + 1)**2/5
Let b(n) = -5 - 16 + 1 - 2*n**2 + 8 + 13*n - 44*n. Let m be b(-15). Factor -9/8*v**m + 3/8*v**2 - 3/4 + 3/8*v**4 + 9/8*v.
3*(v - 2)*(v - 1)**2*(v + 1)/8
Let l be (-4)/((-16)/(-12))*6/(-9). Suppose -l*a = -5*a. Factor 28*f**2 - 23*f**2 + 5*f**3 + a*f**3 - 5*f - 5.
5*(f - 1)*(f + 1)**2
Let c(h) be the first derivative of -90*h**2 + 1620*h + 104 + 5/3*h**3. Factor c(l).
5*(l - 18)**2
Let r(j) be the third derivative of -j**6/30 - 224*j**5/15 + 226*j**4/3 - 14*j**2 + 115*j. Factor r(d).
-4*d*(d - 2)*(d + 226)
Suppose -19071 = 36*u + 8397. Let a = 765 + u. What is p in 2/7*p - 3/7*p**a + 1/7 = 0?
-1/3, 1
Suppose -3 = 3*x + 5*c, -3*x - 10*c = -15*c - 27. Let d be (24/(-18))/((-10)/(-3) - x). Factor 3/2*n + 0 + 3/4*n**d.
3*n*(n + 2)/4
Let u(r) = -4*r**3 + 42*r**2 + 288*r + 509. Let a(s) = 6*s**3 - 40*s**2 - 288*s - 508. Let q(p) = 3*a(p) + 4*u(p). Solve q(m) = 0.
-16, -4
Let d(k) be the third derivative of -k**7/1470 + k**6/21 - 19*k**5/105 + 572*k**2. Factor d(x).
-x**2*(x - 38)*(x - 2)/7
Let n = -2 + -8. Let z(h) = h**3 + 9*h**2 - 12*h + 3. Let b be z(n). Factor 65*l**2 - 61*l**2 - b*l - l.
4*l*(l - 6)
Let b(d) be the first derivative of -d**4/14 - 138*d**3/7 - 285*d**2 - 9850*d/7 + 1984. Factor b(u).
-2*(u + 5)**2*(u + 197)/7
Suppose -4*l = -29*l + 25. Suppose 4*n + l + 3 = -4*b, b = -2*n + 1. Factor -6/5 + 1/5*w**n - w.
(w - 6)*(w + 1)/5
Let p(x) be the third derivative of -x + 0*x**3 + 11/735*x**7 + 9*x**2 - 1/42*x**4 - 11/210*x**5 + 0 - 1/60*x**6 + 3/392*x**8. Find n, given that p(n) = 0.
-1, -2/9, 0, 1
Suppose 8/3*n**2 - 28/3*n + 8 = 0. What is n?
3/2, 2
Let b(f) be the first derivative of f**6/2 + 98*f**5/5 + 157*f**4/12 - 1144*f**3/9 - 386*f**2/3 - 128*f/3 + 17. What is h in b(h) = 0?
-32, -2, -1/3, 2
Let r = -175 + 177. Factor -28*n**3 - n - 41*n**r - 19*n + 3*n**2 + 32*n**3.
2*n*(n - 10)*(2*n + 1)
Suppose -2196*p = -1077*p - 1056*p - 126. Let 3/4*c**p + 0*c - 1 - 1/4*c**3 = 0. Calculate c.
-1, 2
Let p(k) be the third derivative of -k**8/5040 - k**7/1260 + k**6/360 + k**3 - 74*k**2. Let i(y) be the first derivative of p(y). Factor i(j).
-j**2*(j - 1)*(j + 3)/3
Let i(h) be the third derivative of -3*h**8/140 + 116*h**7/175 - 373*h**6/150 + 92*h**5/25 - 34*h**4/15 + h**2 - 87*h. Suppose i(k) = 0. Calculate k.
0, 2/3, 1, 17
Let -4 + 44*z**2 + 77489*z - 1 - 140*z**3 - 77409*z + 21 = 0. Calculate z.
-2/5, -2/7, 1
Let j(a) = 563*a - 2815. Let n be j(5). Find s such that 0*s**2 - 2/7*s**4 + 0*s + 4/7*s**3 + n - 2/7*s**5 = 0.
-2, 0, 1
Let l(d) be the first derivative of -10*d**5 - 26888/3*d**3 + 590*d**4 - 4608*d - 39 - 11328*d**2. Suppose l(u) = 0. Calculate u.
-2/5, 24
Suppose 5*n = 4*x - 24 - 60, -5*x + 84 = -n. Let k be (x/10)/((-2)/(-5)). Determine l, given that 5*l**2 + k*l**4 + 5*l**5 + 11*l**4 - 81*l**3 + 96*l**3 = 0.
-1, 0
Let h(m) be the first derivative of -m**3/5 + 33*m**2/10 - 84*m/5 + 4361. What is t in h(t) = 0?
4, 7
Let k(r) = 5*r + 15. Let w be k(-4). Let x(l) = l**2 + 2*l - 11. Let h be x(w). Solve 25 + 0*p + h*p - 14*p + p**2 = 0.
5
Let y(f) = -12*f**2 - 2*f - 24. Let p(q) = 180*q**2 - 362*q**2 + 4 + 184*q**2. Let c(u) = -34*p(u) - 6*y(u). Determine g, given that c(g) = 0.
-2, -1
Let a(k) = 12*k + 10. Let v be a(0). Let z(i) = -i**2 + 9*i - 12. Let n be z(6). Factor 7*g - v*g + 5*g + n*g - 2*g**2.
-2*g*(g - 4)
Let j be (-4 - 0)/(33 - 57). Factor -1/3*c**3 + j*c**5 + 0*c + 0 + 0*c**2 - 1/6*c**4.
c**3*(c - 2)*(c + 1)/6
Let u(a) be the second derivative of a**6/180 + 7*a**5/300 + a**4/30 - a**3/3 - 4*a**2 - 4*a - 6. Let s(q) be the second derivative of u(q). Factor s(x).
2*(x + 1)*(5*x + 2)/5
Let z be (50 + 3/3)*(-30)/20*(-616)/396. Find d such that 110/3*d**4 + 32/3 + 452/3*d**2 - 76*d - z*d**3 - 3*d**5 = 0.
2/9, 1, 2, 8
Factor -360 - 333*v**3 + 30*v**5 - 60*v**4 - 122*v**2 - 780*v - 243*v**2 + 48*v**3 - 35*v**5 - 305*v**2.
-5*(v + 2)**3*(v + 3)**2
Let n(l) = -19*l**3 + 2095*l**2 + 380*l + 9. Let g(o) = 75*o**3 - 8383*o**2 - 1520*o - 39. Let k(d) = 3*g(d) + 13*n(d). Factor k(m).
-2*m*(m - 95)*(11*m + 2)
Let h(j) be the second derivative of 19 - 2/3*j**4 + 1/2*j**5 - 1/30*j**6 - 1/42*j**7 + 0*j**3 - 3*j + 0*j**2. Determine i, given that h(i) = 0.
-4, 0, 1, 2
Let m = 50107/5 - 9977. Let l = -44 + m. What is h in -2/5*h + 0 - l*h**2 = 0?
-1, 0
Let l(o) = 47*o**3 - 83*o**2 - 2*o. Let a(g) = -24*g**3 + 42*g**2. Suppose 15*i = -7*i - 110. Let k(n) = i*a(n) - 3*l(n). Factor k(u).
-3*u*(u - 2)*(7*u + 1)
Determine n so that -98/9*n**2 - 33282 - 1204*n = 0.
-387/7
Determine y so that -6310144/3 + 10048/3*y - 4/3*y**2 = 0.
1256
Let a(j) = 147*j**2 - 1917*j + 9219. Let v(k) = -k**3 + 289*k**2 - 3835*k + 18437. Let b(w) = -5*a(w) + 3*v(w). Factor b(r).
-3*(r - 16)**2*(r - 12)
Let k(l) be the third derivative of -l**6/1620 - l**5/54 - l**3/3 - 3*l**2 + 10. Let d(r) be the first derivative of k(r). Factor d(j).
-2*j*(j + 10)/9
Suppose 2*s + 23 + 60 = o, -241 = -3*o + 2*s. Suppose -12*h - 79 = -o. Factor 8/7*b**2 - 4/7*b + h.
4*b*(2*b - 1)/7
Let v(c) be the second derivative of -c**6/270 + 8*c**5/135 - 7*c**4/54 - 93*c**2/2 + 69*c. Let r(b) be the first derivative of v(b). Factor r(a).
-4*a*(a - 7)*(a - 1)/9
Suppose 202 = 394*l - 155 + 357. Factor 45/4*z + l + 5/4*z**4 - 5/4*z**3 - 45/4*z**2.
5*z*(z - 3)*(z - 1)*(z + 3)/4
Let w(h) be the second derivative of -h**5/4 - 155*h**4/12 - 295*h**3/6 - 145*h**2/2 - 1737*h. What is u in w(u) = 0?
-29, -1
Let f(n) = 390*n**3 - 360*n**2 - 10870*n + 114895. Let l(c) = 47*c**3 - 45*c**2 - 1359*c + 14362. Let b(q) = -3*f(q) + 25*l(q). Find g such that b(g) = 0.
-17, 13
Let i(w) = -2*w**4 - 10*w**3 - 8*w**2. Let z = -124 + 120. Let k(q) = 2*q**4 + 10*q**3 + 6*q**2 - 2*q. Let g(h) = z*i(h) - 5*k(h). Find f, given that g(f) = 0.
-5, -1, 0, 1
Let j be (-6)/((-1)/(-2) - 150/60). Suppose -14*g**3 - 8*g**4 + 10*g**j + g**2 + 6*g**3 + 9*g**4 = 0. What is g?
-1, 0
Let g(z) be the first derivative of 4*z**3/3 + 95*z**2 + 94*z - 1206. Factor g(h).
2*(h + 47)*(2*h + 1)
Suppose 22*x = 1145 + 439. Let s be 9 + (-4 - x/