+ 68. Let s(y) = 0. What is y?
-1
Let j(z) be the second derivative of -z**6/210 + 19*z**5/140 - 41*z**4/28 + 43*z**3/6 - 14*z**2 + z + 211. Let j(y) = 0. Calculate y.
1, 4, 7
Let i(k) be the first derivative of k**3/21 + 57*k**2/14 + 8*k - 843. Suppose i(b) = 0. What is b?
-56, -1
Suppose -5*n = -161 - 214. Factor 128*l**3 + 57*l**3 - 20*l**4 - 8 - 49*l**4 + n*l**3 - 15*l**4 - 276*l**2 + 108*l.
-4*(l - 1)**3*(21*l - 2)
Let x(q) be the first derivative of 25*q**4/6 + 220*q**3/3 - 92*q**2 + 112*q/3 + 1635. Solve x(h) = 0 for h.
-14, 2/5
Let l = -443/3630 + 6169/10890. Let o be 78/27 - 4/(-18). Factor l*a**2 - 32/9*a + o.
4*(a - 7)*(a - 1)/9
Let f(m) be the first derivative of -72*m - 26/3*m**3 - 1/2*m**4 - 14 - 48*m**2. Factor f(v).
-2*(v + 1)*(v + 6)**2
Let n(l) be the second derivative of l**5/40 - 193*l**4/24 + 2254*l**3/3 + 7203*l**2 + l - 1271. Factor n(z).
(z - 98)**2*(z + 3)/2
Let x(a) be the second derivative of a**7/231 - 16*a**6/165 + 57*a**5/110 + 79*a**4/33 - 644*a**3/33 - 1176*a**2/11 - 3796*a. Solve x(l) = 0.
-2, 6, 7
Let s(o) = -o**2 + 849*o - 1771. Let y(p) = 284*p - 590. Let r(m) = 2*s(m) - 7*y(m). What is b in r(b) = 0?
-147, 2
Let g(n) = -n**3 + 68*n**2 - 303*n + 408. Let f(m) = 135*m**2 - 605*m + 810. Let u(i) = -2*f(i) + 5*g(i). Factor u(k).
-5*(k - 7)*(k - 4)*(k - 3)
Let z(p) be the second derivative of -p**4/42 + 226*p**3/7 - 114921*p**2/7 - 36*p. Factor z(q).
-2*(q - 339)**2/7
Let l(j) be the third derivative of 1/50*j**5 + 2*j**3 + 47/60*j**4 + 0 + 0*j - 33*j**2. Factor l(x).
2*(x + 15)*(3*x + 2)/5
Let b(p) be the first derivative of p**5/40 + p**4/12 - 7*p**3/12 + p**2 - p - 61. Let r(l) be the first derivative of b(l). Find x, given that r(x) = 0.
-4, 1
Let l(x) be the third derivative of x**5/30 + 43*x**4/3 + 340*x**3/3 - 1012*x**2. Let l(m) = 0. Calculate m.
-170, -2
Let n(f) be the first derivative of f**5/5 - 5*f**4/2 - f**3/3 + 5*f**2 + 2243. Find s, given that n(s) = 0.
-1, 0, 1, 10
Let u = -142 - -147. Factor 425*h**3 + 0 - u*h**4 - 245*h**2 - 355*h**3 + 0.
-5*h**2*(h - 7)**2
Let a(z) = 16*z**2 - 38*z - 392. Let m(g) = -g**2 - g. Suppose 3*q - o = -107, -8*o - 41 = q - 3*o. Let i(d) = q*m(d) - 2*a(d). Factor i(f).
4*(f + 14)**2
Suppose 11*m + 2*y - 2 = 8*m, -m = 3*y + 4. Let l be ((-8772)/(-688))/((-6)/(-4)). Factor l*q**m + 16*q - 2.
(q + 2)*(17*q - 2)/2
Let c = -11794/3 - -82582/21. Factor 3/7*x**3 + x**2 - c - 2/7*x.
(x - 1)*(x + 2)*(3*x + 4)/7
Let h = -897/20 + 181/4. Suppose l - 24 = 5*r, 5*r = 4*l - 22 - 14. Determine q, given that -8/5*q + 18/5*q**3 - 4/5*q**5 + 0 + h*q**l - 8/5*q**2 = 0.
-2, -1/2, 0, 1, 2
Let q = -620 - -432. Let t = -186 - q. Factor 4/7*j**4 - 4/7*j**t - 2/7*j + 2/7*j**5 + 0*j**3 + 0.
2*j*(j - 1)*(j + 1)**3/7
Let q(l) be the first derivative of 222 + 146/7*l**3 - 351/14*l**2 - 57/7*l**4 + 102/7*l + 1/14*l**6 + 36/35*l**5. Determine k, given that q(k) = 0.
-17, 1, 2
Suppose 2*y - 5 = -f, 0 = -0*f - f - 3*y + 5. Let h(v) be the first derivative of -15*v**3 - 35/8*v**4 + 3 - 20*v - 25*v**2 - 1/2*v**f. Factor h(p).
-5*(p + 1)*(p + 2)**3/2
Let p(i) be the third derivative of i**6/360 + 3*i**5/20 + 4*i**4/3 + 46*i**3/9 - 1446*i**2. What is a in p(a) = 0?
-23, -2
Suppose -4*j + 11 = v, 2*v = -0*v + 2*j + 2. Let q be 4 + 1/2 - v. Factor -3/2*n**2 + 0*n + q*n**4 + 0 - 3/2*n**3 + 3/2*n**5.
3*n**2*(n - 1)*(n + 1)**2/2
Let g = 503 + -2009/4. Let b be (-26)/(-8) + 12/16. Suppose 3/4*n**5 - g*n**3 + 0*n + 3/4*n**2 + 0 - 3/4*n**b = 0. What is n?
-1, 0, 1
Let k be 34/8 - (86 + -55 - 28). Let 0*y - 5/4*y**5 + 5/4*y**2 + 0 + 5/4*y**3 - k*y**4 = 0. Calculate y.
-1, 0, 1
Let j be 5/(13 - 14) - -9. Let z(b) be the second derivative of 1/3*b**3 + 1/4*b**j - 1/10*b**6 + 0 + 0*b**2 - 1/10*b**5 + 2*b. Factor z(l).
-l*(l - 1)*(l + 1)*(3*l + 2)
Let a = -68194 - -340997/5. Find t such that -39*t + a*t**2 + 169/5 - 1/5*t**3 = 0.
1, 13
Let h(f) be the first derivative of f**4/7 - 64*f**3/3 + 2472*f**2/7 - 14400*f/7 + 11465. Factor h(j).
4*(j - 100)*(j - 6)**2/7
Let z(h) be the first derivative of 1 - 30*h**2 + 55*h + 5/3*h**3. Factor z(b).
5*(b - 11)*(b - 1)
Let z(k) be the first derivative of 0*k + k**3 - 9/2*k**2 - 1/10*k**5 + 1/8*k**6 - 5/8*k**4 - 31. Let b(g) be the second derivative of z(g). Factor b(p).
3*(p - 1)*(p + 1)*(5*p - 2)
Let m(p) be the first derivative of p**6/3 + 7*p**5/4 - 25*p**4/12 - 10*p**3/3 - 2*p + 139. Let w(j) be the first derivative of m(j). Factor w(t).
5*t*(t - 1)*(t + 4)*(2*t + 1)
Factor 21/2*p**2 + 3/2*p**3 + 9*p + 0.
3*p*(p + 1)*(p + 6)/2
Suppose 8*q + 21*q - 58 = 0. Factor 100*z - 33*z**2 + 137*z**q - 2*z**3 + 6*z**3.
4*z*(z + 1)*(z + 25)
Let d(k) be the third derivative of 1/60*k**6 + 1/75*k**5 + 4/525*k**7 + 2*k**2 + 0*k**4 + 1/840*k**8 + 0*k**3 + 0*k + 17. Factor d(r).
2*r**2*(r + 1)**2*(r + 2)/5
Suppose 12*f = -2235 + 6785 - 2295 + 10033. Solve 32*p**2 + 32768/3 + 1/3*p**3 + f*p = 0.
-32
Let y be (-5 - (-126)/24) + (-287)/(-4). Determine n so that 532*n**2 - 28*n**4 - 22*n**3 - 328*n - 60*n + y - 166*n**3 = 0.
-9, 2/7, 1
Let y(c) = c**3 + 8*c**2 + 2*c + 26. Let b be y(-8). Factor -b*m**2 + 12*m + 0*m**2 - 7*m**2 + 18*m**2.
m*(m + 12)
Let g be (-3 + 844/(-32))/(15/(-120)*10). Factor 1/4*b**2 + g*b + 2209/4.
(b + 47)**2/4
Let t be 3/(-4)*16/(-7). Let u be 1068/91 + (-121088)/(-6149) + 40/(-6)*3. Factor -2/7*b**4 - 50/7 - t*b**2 - 16/7*b**3 + u*b.
-2*(b - 1)**2*(b + 5)**2/7
Suppose -15 = t + 30 - 48. Let d(j) be the second derivative of 0 + 1/36*j**4 + 1/9*j**t + 0*j**2 + 13*j. Factor d(h).
h*(h + 2)/3
Factor -1/6*i**3 + 12*i + 25/6*i**2 - 594.
-(i - 18)**2*(i + 11)/6
Suppose 7*w + 1/2*w**2 + 0 = 0. Calculate w.
-14, 0
Suppose 0 = 107*r - 112*r + 2*g + 23, g + 19 = 5*r. Solve 10/11*z**4 - 162/11 + 84/11*z**r + 108/11*z + 216/11*z**2 = 0.
-3, 3/5
Let b(c) = -3*c**3 - 134*c**2 - 2175*c - 9605. Let j(v) = 3*v**3 + 136*v**2 + 2172*v + 9604. Let l(x) = 4*b(x) + 5*j(x). Factor l(k).
3*(k + 8)*(k + 20)**2
Suppose -3*o - 13 = k, -4*k + 5*o - 250 + 317 = 0. Factor 2/5*p**4 - 14/5*p**2 - 24/5 + k*p - 4/5*p**3.
2*(p - 2)**2*(p - 1)*(p + 3)/5
Let b(g) be the third derivative of 0*g - 1/3*g**5 - 1/24*g**6 + 0 - 38*g**2 + 0*g**3 + 0*g**4. Determine a so that b(a) = 0.
-4, 0
Factor 48*v + 6201 + 3*v**2 - 3*v**3 - 3113 - 3136.
-3*(v - 4)*(v - 1)*(v + 4)
Let q(f) be the second derivative of f**8/43680 - f**7/3276 - f**4/4 + f**2 - 3*f + 7. Let i(y) be the third derivative of q(y). Solve i(u) = 0.
0, 5
Suppose 75 - 92 = 8*g - 49. Let u(d) be the third derivative of -1/420*d**5 + 1/21*d**3 + 0*d + 1/168*d**g - 33*d**2 + 0. What is k in u(k) = 0?
-1, 2
Suppose 3391*j + 3621*j - 6717*j - 594 - j**2 + 2*j**2 = 0. Calculate j.
-297, 2
Let j(m) = -m**3 - m. Let x be j(0). Let r = -3865 - -3867. Factor x + c + 1/3*c**r.
c*(c + 3)/3
What is r in 8*r**2 + 800*r**4 - 528*r - 228 - 788*r**4 + 68*r**3 - 112*r**2 - 60 = 0?
-6, -2, -2/3, 3
Let j = 10997 - 10997. Let r be (1/(3*5))/((-15)/(-50)). Find t, given that 4/9*t - 2/3*t**2 + j + r*t**3 = 0.
0, 1, 2
Let h = -35 - -36. Let v be (96/(-40))/(-6)*1/h. Suppose -4/5*g**2 + v*g**3 + 0 + 6/5*g**4 + 0*g = 0. What is g?
-1, 0, 2/3
Let s(t) be the first derivative of -2*t**3/51 - 61*t**2/17 - 120*t/17 + 5539. Find h such that s(h) = 0.
-60, -1
Let c be 9/(-30) - (-1141)/350*5. Let l(o) be the first derivative of -1/2*o**2 + c - 2/5*o + 1/5*o**3. What is m in l(m) = 0?
-1/3, 2
Let v(b) be the second derivative of -b**5/100 - 27*b**4/10 - 61*b + 6. Factor v(p).
-p**2*(p + 162)/5
Suppose -21*l - 3648 = -3690. Let d(p) be the first derivative of 3/2*p**l + 0*p + 28 - 4/5*p**5 + 4/3*p**3 - 1/2*p**4 - 1/6*p**6. Factor d(g).
-g*(g - 1)*(g + 1)**2*(g + 3)
Suppose -3*f = 3*b + 3, -6*f + 3*f = -3*b + 15. Factor -10*z**b + 5*z**2 + 0*z**2 + 15*z.
-5*z*(z - 3)
Let m = 121 - 110. Let u(c) = 3*c**3 - 20*c**2 - 5*c. Let f(j) = j**3 - 4*j**2 - j. Let k(h) = m*f(h) - 2*u(h). Solve k(d) = 0 for d.
-1/5, 0, 1
Let v(p) = -3*p**2 + 276*p + 273. Let w(a) = -9*a**2 + 831*a + 824. Let z(o) = -8*v(o) + 3*w(o). Solve z(s) = 0.
-1, 96
Let z(d) be the first derivative of -1743*d**5/20 + d**4/8 + 8945. Factor z(i).
-i**3*(1743*i - 2)/4
Let u(x) be the second derivative of -5*x**4/12 + 160*x**3 - 23040*x**2 + 5*x + 52. Factor u(d).
-5*(d - 96)**2
Let c(m) be the third derivative of m**6/30 +