d derivative of 0 - 1/54*w**4 - 32/27*w**3 - 256/9*w**2 - 89*w. Suppose c(y) = 0. What is y?
-16
Let v(f) be the second derivative of -2/5*f**5 - 2*f**3 + 5/3*f**4 + 141*f + 0 + 0*f**2. Factor v(i).
-4*i*(i - 1)*(2*i - 3)
Let o(i) be the second derivative of -i**5/10 + 62*i**4/3 - 3844*i**3/3 - 4*i - 18. Find f such that o(f) = 0.
0, 62
Suppose -2 = -3*u + 2*u. Let f = 267558 - 267558. Determine c so that f + c + 15/2*c**u = 0.
-2/15, 0
Suppose -4*r + 37 = -3*p, 2*r = -8*p + 3*p + 25. Let o(f) be the first derivative of f**4 - 16/3*f**3 + 0*f - 21 - r*f**2. Find h, given that o(h) = 0.
-1, 0, 5
Let v be (3 - 18 - (-7 - 4))/(4/(-5)). Let j(h) be the second derivative of -3/80*h**v + 9*h + 0*h**2 + 1/4*h**4 + 0 - 1/2*h**3. Factor j(t).
-3*t*(t - 2)**2/4
Let p(a) be the third derivative of a**9/20160 + a**8/6720 - 43*a**5/60 + a**4/12 - 35*a**2. Let u(z) be the third derivative of p(z). Factor u(d).
3*d**2*(d + 1)
Let o(v) be the first derivative of v**4/4 - 2*v**3/3 - 7*v**2/2 - 4*v - 132. Let o(y) = 0. Calculate y.
-1, 4
Determine d so that 1/5*d**3 - 32/5*d**2 + 162/5 + 129/5*d = 0.
-1, 6, 27
Let x = 17556 - 17554. Suppose 14/3 + 16/3*f + 2/3*f**x = 0. What is f?
-7, -1
Determine l, given that -306/7*l**3 - 54/7*l**4 - 556/21*l**2 - 80/21*l + 0 = 0.
-5, -4/9, -2/9, 0
Factor 263*m**2 + 39204 - 725*m**2 - 396*m + 232*m**2 + 231*m**2.
(m - 198)**2
Let r = -43490/3 - -14500. Let p(y) be the third derivative of 0 + 0*y - 31*y**2 - 1/15*y**5 - r*y**3 - y**4. Determine w so that p(w) = 0.
-5, -1
Let q(r) be the second derivative of r**7/840 + r**6/360 - r**3/6 + 7*r**2 + 9*r. Let f(n) be the second derivative of q(n). Factor f(x).
x**2*(x + 1)
Factor -25*t**3 - 12*t**2 - 22*t**3 + 1344*t - 4864 - 96*t**2 + 49*t**3.
2*(t - 38)*(t - 8)**2
Let v be (-250)/(-65) + (0 - (-6)/39). Let n(i) be the first derivative of 0*i - 1/24*i**6 + 0*i**2 + 1/6*i**3 + 1/5*i**5 + 3 - 5/16*i**v. Factor n(o).
-o**2*(o - 2)*(o - 1)**2/4
Suppose -71 + 3 = -4*t. Let r(v) = -v**3 + 18*v**2 - 5*v - 20. Let c be r(t). Find z, given that 45*z + 121 + c - 109 + 4*z**2 + 11*z = 0.
-7
Let p = 718121/2 - 359058. Determine v, given that p + 1/2*v**2 + 3*v = 0.
-5, -1
Suppose 14 = z - 6*f + 7*f, 0 = -f - 2. Let v be -5*-3*z/220. Let -v + 6/11*p - 6/11*p**3 + 18/11*p**2 - 6/11*p**4 = 0. What is p?
-2, -1, 1
Let d be (15/750)/((8/(-6))/(60/(-18))). Let t(u) be the first derivative of 17 - d*u**4 + 0*u**2 + 1/15*u**3 + 0*u - 2/25*u**5. What is o in t(o) = 0?
-1, 0, 1/2
Suppose -2*i = -23 + 19. Let -i - 13 + 7 + 27*g - 7*g - 16*g**2 + 4*g**3 = 0. Calculate g.
1, 2
Factor 519*d + 950*d - 5*d**3 + 0*d**3 + 224*d - 178*d - 490*d**2.
-5*d*(d - 3)*(d + 101)
Let y = -82 + 82. Let p be y*7/28*-2. Factor -2/9*x**3 - 4/9*x - 2/3*x**2 + p.
-2*x*(x + 1)*(x + 2)/9
Let c(q) = -5*q**2 - 58*q + 257. Let s be c(-15). Factor s*p**3 + 0*p**2 + 2/9*p**5 + 4/3*p**4 + 0*p + 0.
2*p**3*(p + 3)**2/9
Let h(s) be the second derivative of s**4/90 + 368*s**3/45 - 17*s - 3. Factor h(l).
2*l*(l + 368)/15
Let k = -1345/3 + 450. Let g(w) be the first derivative of 11 + 30*w**2 + k*w**3 + 180*w. Factor g(n).
5*(n + 6)**2
Let f(p) = 50*p**2 - 155*p + 985. Let k(w) = 9*w**2 - 3*w + 1. Let d(y) = f(y) - 5*k(y). Factor d(q).
5*(q - 14)**2
Let v(j) be the first derivative of -4*j**6/45 - 14*j**5/75 + 11*j**4/5 - 16*j**3/45 - 62*j**2/15 + 2*j + 1297. Solve v(u) = 0 for u.
-5, -1, 1/4, 1, 3
Let t(y) = y**2 - 117*y - 358. Let m be t(-3). Let i(z) be the first derivative of 0*z + 3 - 4/9*z**3 + 14/3*z**m. Solve i(x) = 0.
0, 7
Let r(f) be the first derivative of 145/2*f**2 - 150*f + 5/3*f**3 + 23. Suppose r(d) = 0. What is d?
-30, 1
Let m(i) = -8*i**2 - 1012*i - 3087. Let l(u) = 9*u**2 + 1001*u + 3086. Let g(z) = 3*l(z) + 4*m(z). What is r in g(r) = 0?
-206, -3
Let p(f) = f**3 - 25*f**2 + 42*f + 18. Let l be p(23). Let n be 130/(-520) + l/(-40). Let -4*x**2 + 28/5*x - n = 0. What is x?
2/5, 1
Let p be (-60)/18*9/(-6). Let y(z) be the third derivative of 0*z - 16*z**2 + 0*z**3 + 0 - 1/84*z**4 + 1/420*z**p. Factor y(b).
b*(b - 2)/7
Let u(s) = -s**2 + 8*s + 131. Let z(x) = -x + 11. Let b be z(-5). Let m be u(b). Solve 0*f**2 - 9/5*f**4 + 0*f - 3/5*f**m + 0 = 0.
-1/3, 0
Factor -7180/3*c + 6444050/3 + 2/3*c**2.
2*(c - 1795)**2/3
Let f(q) be the second derivative of -q**7/42 - 107*q**6/30 - 1457*q**5/10 - 1351*q**4/6 + 2915*q**3/6 + 2809*q**2/2 - 156*q - 3. Find w such that f(w) = 0.
-53, -1, 1
Suppose -16*v + 13*v = d - 62, -16 = -4*v. Suppose -d*o**2 + 14*o - 37*o - 18*o**3 + 7 - 27 - 2*o**4 - 24*o - 7*o = 0. What is o?
-5, -2, -1
Let u = 218 + -226. Let l(q) = 2*q**2 + 16*q + 2. Let m be l(u). Determine i, given that -5/4*i**4 + 3/2*i**2 - m + 5*i - 13/4*i**3 = 0.
-2, 2/5, 1
Let m(b) = b**2 + 1515*b - 65393. Let f be m(42). Factor 1/4*a**2 + a + f.
(a + 2)**2/4
Let 15138/5 + 174/5*h + 1/10*h**2 = 0. What is h?
-174
Suppose -77*y + 109*y - 9984 = 0. Let s = -310 + y. Factor -36/7 - 4/7*d**s - 24/7*d.
-4*(d + 3)**2/7
Let z(h) be the first derivative of h**8/3360 - h**7/336 + h**6/360 + h**5/30 - h**3/3 - 49*h**2/2 - 93. Let t(g) be the third derivative of z(g). Factor t(j).
j*(j - 4)*(j - 2)*(j + 1)/2
Let w(c) be the third derivative of 1/60*c**6 + 0*c**5 + 0 + 0*c**4 - 131*c**2 - 1/42*c**7 + 0*c**3 + 0*c + 1/112*c**8. Factor w(r).
r**3*(r - 1)*(3*r - 2)
Let u(r) = 5*r**2 + 15*r - 32. Let n(f) = -6*f**2 - 14*f + 28. Suppose -7 = 26*c + 97. Let x(l) = c*u(l) - 3*n(l). Factor x(g).
-2*(g - 2)*(g + 11)
Suppose 0 = -9*i - 5 + 32. Factor 2*h**2 - 6*h**2 + 11*h**3 + 12*h**2 + 54*h**4 + 25*h**i + 27*h**5.
h**2*(3*h + 2)**3
Let r = 1403/1032 + 2/129. Let p = r - 73/88. Find k, given that 6/11*k**4 + 2/11*k**2 + 0 - 2/11*k**5 + 0*k - p*k**3 = 0.
0, 1
Let p(q) be the first derivative of q**4/34 + 2*q**3/51 - 129*q**2/17 + 702*q/17 + 119. Suppose p(k) = 0. What is k?
-13, 3, 9
Let x(w) = -55*w**2 - 552*w + 583. Let j be x(-11). Factor 0*p**2 + 0 - 20/7*p**4 + 24/7*p**3 + j*p + 4/7*p**5.
4*p**3*(p - 3)*(p - 2)/7
Let l be (-50)/(-102) + (-1338)/(-7582). Solve 0 + 8/3*k**4 + 0*k + 7/2*k**3 + l*k**5 + 3/2*k**2 = 0.
-3/2, -1, 0
Let a(m) be the third derivative of m**6/30 + 2*m**5/3 + 16*m**4/3 + 64*m**3/3 + 2129*m**2. Factor a(b).
4*(b + 2)*(b + 4)**2
Let h(i) = i**2 - 9*i. Suppose -6 = -8*n + 5*n. Let g(c) = -n*c + 10*c - 2*c + 4*c. Let p(w) = -4*g(w) - 5*h(w). Determine q, given that p(q) = 0.
0, 1
Let g(b) be the first derivative of 3*b**5/35 + 17*b**4/28 + b**3/3 - 17*b**2/14 - 10*b/7 - 355. Determine w, given that g(w) = 0.
-5, -1, -2/3, 1
Let q(f) be the second derivative of -f**7/630 - f**6/180 + f**5/5 - 71*f**4/12 + 5*f. Let b(y) be the third derivative of q(y). Find h such that b(h) = 0.
-3, 2
Let b be (-3)/18*732/(-793). Let p = -8 + 10. Factor 0*u + 0*u**p - 2/13*u**5 + 0 - b*u**3 - 4/13*u**4.
-2*u**3*(u + 1)**2/13
Let d(i) be the third derivative of 97*i**2 + 2/21*i**4 - 1/210*i**6 + 0*i - 1/735*i**7 + 0 + 1/70*i**5 + 4/21*i**3. Solve d(t) = 0.
-2, -1, 2
Suppose z = -2*v + 4, z + 5*v - 7 = -0*v. Let c(s) be the first derivative of -2*s**z - 10 + 2/3*s**3 + 2*s. Determine n, given that c(n) = 0.
1
Let c(j) be the second derivative of 3 + 2/9*j**4 - 25/3*j**2 - 7*j - 5/3*j**3. Find h such that c(h) = 0.
-5/4, 5
Let k(y) = 3*y**2 - 398*y - 4. Let p(t) = 21*t**2 - 2778*t - 27. Let f(i) = -27*k(i) + 4*p(i). Find h such that f(h) = 0.
0, 122
Let a(k) = 2*k**2 - 4*k - 3. Let f(n) = 3*n**2 - 7*n - 5. Let z(c) = 7*a(c) - 4*f(c). Let h(x) = 9*x**2 + 8*x - 21. Let u(b) = -h(b) + 5*z(b). Factor u(l).
(l - 4)**2
Solve 1/9*p + 547/9*p**2 - 1/9*p**3 - 547/9 = 0 for p.
-1, 1, 547
Let j(y) be the second derivative of -2/3*y**2 - 5*y + 1/6*y**3 - 1/90*y**6 - 1/20*y**5 - 5 + 5/36*y**4. Factor j(k).
-(k - 1)**2*(k + 1)*(k + 4)/3
Let i be 72/(-168)*(-28)/6. Factor -a - a + 5*a - 2*a**3 - 20*a**i - a + 20*a**4.
2*a*(a - 1)*(a + 1)*(10*a - 1)
Let g(c) be the first derivative of c**5/40 + 19*c**4/16 + 35*c**3/24 - 37*c**2/8 - 12266. Determine d, given that g(d) = 0.
-37, -2, 0, 1
Suppose 0 = 13*f + 15 - 54. Let r(y) = y. Let d be r(3). Let -f - 3*x**2 + 7 - 2*x**2 + d*x**2 - 2*x = 0. Calculate x.
-2, 1
Let x(c) = -19 - 2*c - c - 6 + 3. Let h be x(-9). Find n, given that -h*n**4 + 9*n - 5*n**3 - 10 + 35*n**2 - 5*n + n - 20 = 0.
-3, -1, 1, 2
Factor 3486*n + 451