ond derivative of f**6/105 - 4*f**5/35 + 23*f**4/42 - 4*f**3/3 + 12*f**2/7 - 93*f - 5. Suppose r(y) = 0. What is y?
1, 2, 3
Let z(f) be the third derivative of f**8/3360 - 2*f**7/315 + f**6/30 - 5*f**4/8 + 8*f**2 + 5*f. Let d(o) be the second derivative of z(o). Factor d(l).
2*l*(l - 6)*(l - 2)
Let l be 12*(-3 + -4*25/(-40)). Let n be (-4)/l*((-95)/(-10) - 9). Factor -2/3*i**2 + n + 1/3*i**4 + 0*i**3 + 0*i.
(i - 1)**2*(i + 1)**2/3
Let c(y) = 23*y**2 + 13*y + 24. Let q be c(-2). Factor -52*v**4 + 92*v**3 + q*v**3 - 182*v**3 + 4*v**5.
4*v**4*(v - 13)
Let k(x) be the first derivative of -26/3*x**3 + 29*x**2 - 1/2*x**4 - 30*x + 18. Factor k(m).
-2*(m - 1)**2*(m + 15)
Let l(h) = h**2 - 17*h - 29. Let r be l(19). Suppose 13*i - r*i = 24. Factor -18*u**4 - 8*u**4 + 12*u**4 - i*u**4 + 5*u**5 + 20*u**3.
5*u**3*(u - 2)**2
Factor 794 - 407*u - 649*u + 404*u + 2*u**3 - 208*u**2 - 1234 + 2*u**3.
4*(u - 55)*(u + 1)*(u + 2)
Let q(t) be the first derivative of 14*t**3/9 - 13*t**2 - 12*t + 66. Factor q(x).
2*(x - 6)*(7*x + 3)/3
Let s(i) be the second derivative of i**6/90 - 2*i**4/3 + i**3/6 - 35*i**2/2 + 37*i. Let t(n) be the second derivative of s(n). Factor t(y).
4*(y - 2)*(y + 2)
Suppose -247 = 14*z + 12*z - 39*z. Let c(q) be the first derivative of z - 4/9*q + 2/27*q**3 - 1/9*q**2. Solve c(m) = 0.
-1, 2
Let k(d) be the first derivative of -d**6/3 - 18*d**5/5 - 12*d**4 - 40*d**3/3 + 400. Find i, given that k(i) = 0.
-5, -2, 0
Suppose -3*b = -4*x - 40, 0 = -178*b + 182*b + 4*x + 12. Let h(l) be the first derivative of -5/4*l**b + 0*l - 5/2*l**2 + 17 - 10/3*l**3. Factor h(j).
-5*j*(j + 1)**2
Let v(u) be the first derivative of -u**3/5 - 114*u**2/5 + 459*u - 4297. Solve v(p) = 0.
-85, 9
Factor 27*c**2 - 3*c**4 + 415*c**2 - 129*c**3 + 113*c**2 - 3 - 423*c + 3.
-3*c*(c - 3)*(c - 1)*(c + 47)
Let m be (4 + 0 - 4)/(-7 + 5). Suppose m = -5*x - v + 125, -x + 4*v - 92 = -4*x. Let x*h**3 + 30*h**2 + 12*h + 3/2 = 0. What is h?
-1/2, -1/4
Let t(o) be the second derivative of o**7/105 - 9*o**5/50 - 47*o + 2. Factor t(r).
2*r**3*(r - 3)*(r + 3)/5
Let z(y) be the first derivative of 4*y**3/3 - 112*y**2 - 2048*y - 3379. Factor z(f).
4*(f - 64)*(f + 8)
Suppose 0 = -3*c - 3 - 3, n = -3*c - 46. Let s = 42 + n. Solve -3 - 6*z**3 + 3*z**2 + 3*z - s*z**3 + 5*z**3 = 0 for z.
-1, 1
Let x(g) = g**2 - 2*g. Let f be x(2). Let k be (-4)/(-4) + f + 7 + -2. Factor 2*w**4 - k*w**3 + 9*w**2 + 7*w**2 - 12*w**2.
2*w**2*(w - 2)*(w - 1)
Let i(v) be the first derivative of 42 + 9/2*v**4 + 0*v + 0*v**2 - v**3 - 3*v**5. Factor i(s).
-3*s**2*(s - 1)*(5*s - 1)
Let l(n) be the first derivative of 0*n**2 + 1/5*n**5 - 1/6*n**4 + 0*n**3 + 100 + 0*n - 1/18*n**6. Find o, given that l(o) = 0.
0, 1, 2
Let l(g) be the second derivative of -5/66*g**4 + 1/55*g**5 - 14/33*g**3 + 4*g + 8/11*g**2 + 3. Let l(d) = 0. What is d?
-2, 1/2, 4
Let c(n) be the third derivative of n**6/120 - 477*n**5/20 + 227529*n**4/8 - 36177111*n**3/2 - 34*n**2 - 12*n. Find k such that c(k) = 0.
477
Let i(j) be the first derivative of -j**5/10 - j**4 + 79*j**3/6 + 91*j**2/2 + 6812. Let i(r) = 0. What is r?
-13, -2, 0, 7
Let f be (6/(-9))/((-1834)/393). Let -8/7*z + f*z**2 + 1 = 0. Calculate z.
1, 7
Let j be (-2)/(-4) - ((-2718)/(-4))/9. Let b be (-2)/j*(-3 + 2)*-5. Factor 2/5*f**2 - 8/15 + 0*f - b*f**3.
-2*(f - 2)**2*(f + 1)/15
Let c be (11352/(-16770))/(33/(-30)). Find l, given that -8/13*l + 8/13*l**4 - c*l**2 + 0 + 2/13*l**5 + 6/13*l**3 = 0.
-2, -1, 0, 1
Let u(p) be the third derivative of 0*p - 1/60*p**5 - 7/120*p**6 + 1/210*p**7 + 1/336*p**8 - 49*p**2 + 1/4*p**4 + 0*p**3 - 2. What is f in u(f) = 0?
-3, -1, 0, 1, 2
Determine s, given that -32*s**2 - 27*s**2 - 19*s**2 + 76*s**2 + 44*s - 476 + 38*s = 0.
7, 34
Let a = -66 - -39. Let w be 8/2*a/((-4158)/28). Let -24/11*t**4 + 24/11*t**2 - w*t + 0 + 10/11*t**5 - 2/11*t**3 = 0. Calculate t.
-1, 0, 2/5, 1, 2
Let x(b) = -2*b**3 + b**2 + 2*b. Let v(j) = 6*j**3 + 42*j**2 + 200*j + 216. Let d(h) = v(h) + 4*x(h). Let d(n) = 0. Calculate n.
-2, 27
Let h(b) = 12*b + 3. Let p(t) = 2*t**3 - 7*t**2 + 5*t - 6. Let m be p(3). Let w be h(m). Factor -1/3*u - 8/3*u**w - 4/3*u**4 + 0 - 5/3*u**2.
-u*(u + 1)*(2*u + 1)**2/3
Let k(s) be the second derivative of s**6/300 + s**5/75 - s**4/12 - 2*s**3/5 - 59*s**2/2 + 56*s. Let n(m) be the first derivative of k(m). Factor n(i).
2*(i - 2)*(i + 1)*(i + 3)/5
Let i(w) be the first derivative of 4*w**5/5 - 70*w**4 - 92*w**3/3 + 87360*w**2 + 1557504*w - 8229. Factor i(l).
4*(l - 48)**2*(l + 13)**2
Let l(q) = 0 + 0 - q**3 + 4 - q**3. Let v be l(0). Determine b so that 3*b**2 - 16 - v - 12*b - 3*b + 2 = 0.
-1, 6
Let j be (-1)/(-21) + 4/14. Let p = 2629 - 2626. Factor 0 + 1/3*n**2 + j*n**p - 1/3*n**4 - 1/3*n.
-n*(n - 1)**2*(n + 1)/3
Let j(s) = 5*s**3 - 51*s**2 + 92*s - 4. Let o(h) = 9*h**3 - 94*h**2 + 183*h - 7. Let w(t) = -7*j(t) + 4*o(t). Solve w(q) = 0.
0, 8, 11
Let t(l) be the second derivative of l**6/1620 + l**5/54 + 25*l**4/108 - 29*l**3 - 80*l. Let a(f) be the second derivative of t(f). Factor a(z).
2*(z + 5)**2/9
Factor 2917*o**3 - 2914*o**3 + 3*o**2 - 49*o + o - 48.
3*(o - 4)*(o + 1)*(o + 4)
Suppose -2*o - 11 = -3*b, -1286*o = -1290*o + 4*b - 12. Find k such that 1/3*k**o - 4/3 + 0*k = 0.
-2, 2
Let h(s) = 52*s**3 - 460*s**2 + 854*s - 476. Let m(q) = 5*q**3 + q**2 - 8*q - 1. Let g(d) = -h(d) + 10*m(d). Factor g(z).
-2*(z - 233)*(z - 1)**2
Let l be (45752/304 - 152)*(-1 - 1). Solve 2 + 20*q**l + 8/3*q**2 - 28/3*q + 6*q**4 = 0 for q.
-3, -1, 1/3
Let j(f) be the first derivative of 20*f + 205 - 20/3*f**3 + 15/2*f**2 - 15/4*f**4. Factor j(t).
-5*(t - 1)*(t + 1)*(3*t + 4)
Let i = 5711 - 5700. Let c(m) be the second derivative of i*m + 5/6*m**3 - 1/4*m**5 + 0 - 5/12*m**4 + 5/2*m**2. Factor c(a).
-5*(a - 1)*(a + 1)**2
Let t(k) = -k**3 + 18*k**2 + 20*k - 2. Let l be t(19). Let a(z) = z - 15. Let c be a(l). Factor -c + 42*b - 28*b**2 - 15 + 18*b + 4*b**3 - 19.
4*(b - 3)**2*(b - 1)
Let d(y) be the second derivative of -7*y**4/9 + 2*y**3 + 24*y**2 + 101*y + 9. Solve d(p) = 0.
-12/7, 3
Let d(s) = s**2. Let o(g) = -5*g**3 - 17*g**2 + 45*g - 18. Let y be 2 - ((-18)/(-27))/((-1)/(-6)). Let i(l) = y*o(l) + 10*d(l). Solve i(w) = 0.
-6, 3/5, 1
Solve 0 + 24*a**2 + 38/3*a**3 - 24*a - 8/3*a**4 = 0.
-2, 0, 3/4, 6
Let s(b) be the second derivative of 8/5*b**2 - 9/5*b**4 + 0 + b**5 + 41*b - 32/5*b**3. Factor s(w).
4*(w - 2)*(w + 1)*(25*w - 2)/5
Suppose 100/7 - 26/7*h**3 + 170/7*h + 2/7*h**4 + 6*h**2 = 0. Calculate h.
-1, 5, 10
Let f(x) be the first derivative of -2*x**3/9 + 31*x**2/3 + 280*x/3 - 2322. Factor f(s).
-2*(s - 35)*(s + 4)/3
Let r(w) be the first derivative of -34*w - 1/3*w**3 - 92 + 19/2*w**2. Determine v, given that r(v) = 0.
2, 17
Let p be (-2 + 3 + -1)*(-19)/(-76). Let a(b) be the second derivative of p - 2/9*b**4 - 1/3*b**2 - 5/9*b**3 - b. Factor a(t).
-2*(t + 1)*(4*t + 1)/3
Factor 16428*u - 5163*u**3 + 2302*u**3 + 15984*u**2 + 3*u**4 + 2420*u**3.
3*u*(u - 74)**2*(u + 1)
Let a be (-7)/1 + (2 - 0). Let q be (a - 1/1)*30/(-45). Solve -4*w + 13*w + 5*w**3 - q*w + 0*w + 10*w**2 = 0 for w.
-1, 0
Suppose -2*y = 3*h - 8*h - 315, 0 = -4*h - 12. Suppose -p + y = 5*p. Factor -10*c**2 + 13 + 9*c - p*c - 2*c**3 - 21.
-2*(c + 1)*(c + 2)**2
Let a(m) be the second derivative of -m**4/72 - 118*m**3/9 + 3950*m. Factor a(v).
-v*(v + 472)/6
Suppose 4*s + 4*z - 48 = 0, s - 5*z + 8 = 2*s. Factor -67*k**2 + s*k**2 - 6695*k**3 + 6698*k**3.
3*k**2*(k - 18)
Let q(n) be the third derivative of 0*n + 0*n**3 + 62*n**2 - 11/945*n**7 + 13/270*n**6 + 0*n**4 - 8/135*n**5 + 1/1512*n**8 + 0. Suppose q(j) = 0. What is j?
0, 1, 2, 8
Suppose 388*w - 382*w = -12. Let q be w/4 - (-272)/288. Factor 2/9*l - 2/9*l**3 + q - 4/9*l**2.
-2*(l - 1)*(l + 1)*(l + 2)/9
Factor -5 - 9/7*l**2 + 316/7*l.
-(l - 35)*(9*l - 1)/7
Let o(w) be the first derivative of 3/5*w**4 + 0*w + 1/15*w**6 + 1/5*w**2 - 8/25*w**5 - 91 - 8/15*w**3. Find u such that o(u) = 0.
0, 1
Let r(z) be the first derivative of 14*z**3/15 - 125*z**2 + 356*z/5 - 823. What is v in r(v) = 0?
2/7, 89
Suppose 13*m + 20 = 23*m. Suppose 13*x**m - 3*x + 15*x**2 - 36*x**2 + 11*x**2 = 0. Calculate x.
0, 1
Let f(a) be the third derivative of -a**6/780 - 164*a**5/65 - 26896*a**4/13 - 35287552*a**3/39 - 80*a**2 + 6*a. Factor f(g).
-2*(g + 328)**3/13
Let y(x) = -62