(2/112). Let u = 31 + w. What is f in 5*f**3 + f**2 - 4*f**3 + 2*f**2 + 2*f**u = 0?
-1, 0
Let f(p) be the first derivative of -p**4/9 - 68*p**3/27 + 490*p**2/9 - 300*p + 484. Determine q so that f(q) = 0.
-27, 5
Let g(t) be the second derivative of -2*t**6/75 - 2*t**5/5 + 3*t**4/4 + t**3/3 - 11*t**2/10 + 1224*t - 6. Let g(h) = 0. Calculate h.
-11, -1/2, 1/2, 1
Let m(d) be the second derivative of -d**4/6 - 103*d**3/3 + d - 1243. Factor m(a).
-2*a*(a + 103)
Let w(c) be the second derivative of 9*c**7/35 - 141*c**6/50 + 201*c**5/100 + 77*c**4/6 + 34*c**3/5 - 28*c**2/5 + c + 1127. Determine z so that w(z) = 0.
-2/3, 1/6, 2, 7
Let l be -2*5/(-10)*3 + 1. Factor 15*c**3 + 4*c**2 + 12*c**4 + 23*c**4 - 36*c**l + 12*c**2.
-c**2*(c - 16)*(c + 1)
Let n be (-12 - -18)*(-4)/(-8). Suppose -n*o - v = 3 - 4, 0 = 2*o - v - 9. Solve 4/5*d**3 + 2/5*d**4 + 2/5*d**o + 0 + 0*d = 0 for d.
-1, 0
Let v(o) be the third derivative of 0*o - 1/27*o**3 + 0 - 1/108*o**4 + 1/270*o**5 + 25*o**2 + 1/540*o**6. Factor v(u).
2*(u - 1)*(u + 1)**2/9
Let -2*h**4 - 210*h**3 - 295*h**3 - 313*h**3 + 514*h**3 - 11850*h**2 - 22500*h = 0. Calculate h.
-75, -2, 0
Find z such that -1068/5*z - 3/5*z**5 - 192/5*z**2 + 66/5*z**4 + 321/5*z**3 - 624/5 = 0.
-4, -1, 2, 26
Let h(f) = -6*f**2 - 11 + 15*f**3 + 3*f**2 - 7*f**2 - 6*f**2 + f. Let o(k) = 3*k**3 - 3*k**2 - 2. Let t(n) = -4*h(n) + 22*o(n). Factor t(b).
2*b*(b - 1)*(3*b + 2)
Let j(l) be the third derivative of 0*l + 0 + 280*l**2 + 19/10*l**5 + 324*l**3 - 1/40*l**6 - 99/2*l**4. Factor j(i).
-3*(i - 18)**2*(i - 2)
Factor 15876*x**2 + 5592*x - 15848*x**2 - 563 - 1037.
4*(x + 200)*(7*x - 2)
Let z(d) be the third derivative of d**7/7 - d**6/120 - d**5/2 + d**4/24 + 38*d**2 - 17*d. Factor z(q).
q*(q - 1)*(q + 1)*(30*q - 1)
Let r be (6/(-4))/(21/(-322)). Let y = r + -21. Find w, given that -8 - 49*w**y - 163*w**2 + 14*w**2 + 76*w + 81*w**3 = 0.
2/9, 2
Suppose -72/17*n**3 + 394/17*n - 2/17*n**5 - 244/17*n**2 + 80/17*n**4 - 156/17 = 0. What is n?
-2, 1, 39
Let p be 1/22*-4 + (-43)/((-79464)/3504). What is r in -82/7*r - 26/7*r**2 - p = 0?
-3, -2/13
Let k(n) be the first derivative of -3*n**4/2 - 27*n**3 - 72*n**2 + 960*n + 387. Suppose k(d) = 0. What is d?
-8, 5/2
Let k(h) be the third derivative of -7/50*h**5 + 1/200*h**6 + 0*h - 1/40*h**4 + 48*h**2 + 0 + 7/5*h**3. Find y, given that k(y) = 0.
-1, 1, 14
Let z = -1742/31 + 20935/372. Let c(y) be the second derivative of -40*y - 1/6*y**3 + 0 + z*y**4 + 1/20*y**5 - 1/2*y**2. Factor c(h).
(h - 1)*(h + 1)**2
Let y be 12/18*81/66 + -1 + (-15900)/(-88). Solve -1/8*p**2 + 19/2*p - y = 0.
38
Factor 0 + 2/5*a**4 - 8/5*a + 18/5*a**2 - 12/5*a**3.
2*a*(a - 4)*(a - 1)**2/5
Let m(k) = -7*k**4 + 65*k**3 + 251*k**2 + 192*k - 26. Let d(h) = 5*h**4 - 43*h**3 - 167*h**2 - 128*h + 18. Let s(l) = -13*d(l) - 9*m(l). Factor s(n).
-2*n*(n + 1)*(n + 4)*(n + 8)
Let y(k) = 67*k**2 + 56*k - 11. Let p be y(-1). Let x be (-2)/(-3) - 28/(-21). Factor 10/3*d**x + 55/3*d**3 + 0*d + p - 65/3*d**4.
-5*d**2*(d - 1)*(13*d + 2)/3
Suppose 56/15 - 18/5*m**2 + 32/15*m**3 - 32/15*m - 2/15*m**4 = 0. Calculate m.
-1, 1, 2, 14
Let z(a) be the first derivative of 28/3*a**6 - 27 + 10/3*a**3 + 39/8*a**4 - a**2 - 124/5*a**5 + 0*a. Find k, given that z(k) = 0.
-2/7, 0, 1/4, 2
Let x be (-69993)/(-64337) - 2/(-14). Factor x*o - 24/13 - 2/13*o**2.
-2*(o - 6)*(o - 2)/13
Let v(z) = -48*z**2 - 86*z + 10. Let g(o) = 193*o**2 + 343*o - 41. Let t = 20 - 29. Let f(d) = t*v(d) - 2*g(d). Suppose f(k) = 0. What is k?
-2, 2/23
Let f(a) be the second derivative of 1/20*a**5 + 0 + 1/30*a**4 - 12/5*a**2 - 2/3*a**3 + 85*a + 1/150*a**6. Suppose f(r) = 0. Calculate r.
-3, -2, 2
Suppose 14*v + 233 = 275. Find p such that 0 + 2/11*p**2 + 0*p - 2/11*p**v = 0.
0, 1
Suppose -7*t = -5*t - 1252. Let h(s) = 635*s**2 - s - 9 + s - t*s**2. Let l(k) = -k**3 - 8*k**2 + k + 8. Let x(n) = -2*h(n) - 3*l(n). What is y in x(y) = 0?
-2, -1, 1
Let c(y) be the third derivative of y**5/390 + 23*y**4/78 - 425*y**2. Let c(l) = 0. What is l?
-46, 0
Let i = 84339 + -84337. Determine f so that 16/5*f**5 - 52/5*f**4 + 4*f - 44/5*f**i + 0 - 132/5*f**3 = 0.
-1, 0, 1/4, 5
Let o(t) be the first derivative of -20/3*t**3 + 3*t + 8 - 15/2*t**2 + 5/4*t**4. Let l(k) be the first derivative of o(k). Solve l(h) = 0 for h.
-1/3, 3
Suppose -30 = -18*p + 114. Factor 67*g**2 - 17*g**2 + 205*g - p - 301*g.
2*(g - 2)*(25*g + 2)
Let s(h) be the third derivative of h**6/210 + 278*h**5/105 + 3266*h**4/7 + 25392*h**3/7 - 2077*h**2. Find x such that s(x) = 0.
-138, -2
Let q be (-3 - -1)/(6*-50). Let p(u) be the second derivative of 5*u - q*u**5 + 1/45*u**3 + 0 + 1/30*u**4 - 1/5*u**2. Factor p(z).
-2*(z - 3)*(z - 1)*(z + 1)/15
Suppose -6 = -10*v + 8*v. Let -t**4 + 1253*t**3 - 1255*t**v - t**4 = 0. Calculate t.
-1, 0
Let f(s) = -s**3 + 5*s**2 - 2*s - 4. Let y(l) = l**3 + 102665 - 102672 - 3*l**3 + 9*l**2 - 3*l. Let h(g) = -7*f(g) + 4*y(g). Factor h(i).
-i*(i - 2)*(i + 1)
Let w(z) be the first derivative of -z**6/1320 + z**5/660 + 7*z**2 + 131. Let g(k) be the second derivative of w(k). What is n in g(n) = 0?
0, 1
Solve -137463*w**3 - 7*w**2 + 137460*w**3 + 43*w**2 = 0.
0, 12
Let h be 20 + 33/((-3069)/1271). Determine j so that j**2 + 2 + h*j = 0.
-6, -1/3
Let j(p) be the first derivative of p**4/5 - 464*p**3/15 - 472*p**2/5 + 448. Suppose j(o) = 0. Calculate o.
-2, 0, 118
Let o = 207 - -465. Factor 4*i**4 - 2048 + o*i**2 - 1435*i + 155*i + 5789*i**3 - 5881*i**3.
4*(i - 8)**3*(i + 1)
Let i(x) be the third derivative of -1/3*x**4 + 0*x**3 + 24 - x**2 + 0*x + 1/15*x**5. Suppose i(s) = 0. Calculate s.
0, 2
Let g(d) be the first derivative of -d**3/4 + 609*d**2/8 + 153*d - 2169. Factor g(h).
-3*(h - 204)*(h + 1)/4
Solve 121/3*j**2 - 16/3*j**5 + 27*j**4 - 149/3*j**3 + 2/3 - 13*j = 0.
1/16, 1, 2
Let g(i) = -i - 5. Let p be g(-10). Suppose -4*q = -2*l + 28, -3*q + 0*q = 5*l - p. Let 4*a + 11*a**2 + 17*a**4 - 3*a**2 - 25*a**4 - l*a**5 = 0. Calculate a.
-1, 0, 1
Suppose 0 = -0*u - 10*u + 30. Let f be 14*u/(-6)*-1. Suppose -f*x + 12*x**2 + 13 - 29 + 23*x = 0. What is x?
-2, 2/3
Let t(y) be the second derivative of -y**7/4620 - y**6/330 + y**5/660 + y**4/22 + y**3 + y**2 + y + 15. Let u(m) be the second derivative of t(m). Factor u(a).
-2*(a - 1)*(a + 1)*(a + 6)/11
Factor 153*o - 56*o**2 + 43*o + 1028 + 2*o**3 + 60*o + 1020.
2*(o - 16)**2*(o + 4)
Suppose -8*y = 512 - 0. Let w be 12/(-8)*y/10. Factor -4/5*r**3 - w*r - 32/5 - 24/5*r**2.
-4*(r + 2)**3/5
Let n(k) = -3*k**3 - 22*k**2 - 5*k - 7. Let o(b) = -9*b**3 - 2*b + 9*b**3 - 7*b**2 - b**3 - 2. Let q = 547 - 551. Let s(j) = q*n(j) + 14*o(j). Factor s(f).
-2*f*(f + 1)*(f + 4)
Let p(v) be the second derivative of -61*v + 0 - 8/3*v**3 + 0*v**2 + 1/3*v**4. Factor p(u).
4*u*(u - 4)
Let k(o) be the second derivative of o**7/231 + o**6/11 - 57*o**5/55 + 122*o**4/33 - 56*o**3/11 - 7872*o. Factor k(m).
2*m*(m - 2)**3*(m + 21)/11
Let d(w) be the second derivative of 3*w**5/20 - 29*w**4 + 1682*w**3 + 4*w + 19. Factor d(z).
3*z*(z - 58)**2
Let l be 1/(15/100) - 0. Let a be (-4 + 7 - -72)/(9/2). Factor l*b - a - 2/3*b**2.
-2*(b - 5)**2/3
Let j = 104903/4 - 25351. Let k = 876 - j. Factor -1 - k*z - 1/4*z**2.
-(z + 1)*(z + 4)/4
Let c(p) = 4*p - 63. Let x be c(17). Let v = -10 + 14. Find o, given that o**5 - 8*o + 8*o**3 + o**2 + x*o**4 - 10*o**4 + v - o**3 = 0.
-1, 1, 2
Let g = 527/132 + 52543/924. Suppose -60/7*j - 102/7*j**4 - 165/7*j**3 + 45/7*j**5 + g*j**2 - 72/7 = 0. What is j?
-2, -1/3, 3/5, 2
Let t(k) be the first derivative of 124 + 1/5*k**5 + 3*k**4 + 25*k + 46/3*k**3 + 30*k**2. Determine z, given that t(z) = 0.
-5, -1
Let n(r) = -12*r**2 - 108*r - 100. Let t(m) = -26*m**2 - 217*m - 200. Suppose -390*y + 399*y = 36. Let c(f) = y*t(f) - 9*n(f). Determine l, given that c(l) = 0.
-25, -1
Determine k, given that 113/2*k**3 + 3/2*k**5 - 33/2*k**2 + 0 - 43/2*k**4 + 0*k = 0.
0, 1/3, 3, 11
Let c = 24586 - 24566. Let g(j) be the first derivative of -4/3*j**3 - 44 - c*j + 12*j**2. Factor g(i).
-4*(i - 5)*(i - 1)
Solve -624/5 + 30*f**4 - 444/5*f**2 - 3/5*f**5 + 321/5*f**3 - 1236/5*f = 0.
-2, -1, 2, 52
Let q(s) be the second derivative of s**6/15 - 7*s**5/20 + s**4/3 + 2*s**3/3 - 25*s + 17. Factor q(z).
z*(z - 2)**2*(2*z + 1)
Let a(o) be the first derivative of o**7/4620 - o**6/1980 - o**5/660