 first derivative of w(n). Let z(o) = 0. What is o?
-6, 2
Let z(m) be the first derivative of -5*m**4/22 - 2*m**3/11 + 12*m**2/11 - 8*m/11 + 322. Find a, given that z(a) = 0.
-2, 2/5, 1
Let k(t) = 10*t**2 - 6*t - 52. Let q(d) = 7*d**2 - 5 - 30 - 16*d + 8*d + 4*d. Let m(z) = 5*k(z) - 7*q(z). Find g, given that m(g) = 0.
-3, 5
Let f(d) be the third derivative of d**8/1512 - 2*d**7/945 - 19*d**6/540 - 14*d**5/135 - d**4/9 - 9*d**2 - 13. Determine p so that f(p) = 0.
-2, -1, 0, 6
Factor 47 + 95/2*x + 1/2*x**2.
(x + 1)*(x + 94)/2
Let o(t) be the first derivative of t**4/4 + 57*t**3 - t**2/2 - 171*t + 14971. Determine c so that o(c) = 0.
-171, -1, 1
Let f(v) = -2*v**3 - 5*v**2 + v - 2. Let m be f(-4). Factor -120*i**3 - 12 + m + 20*i - 135*i + 170*i**2 + 12*i**4 + 28*i**4 + 3*i**5 - 8*i**5.
-5*(i - 3)*(i - 2)*(i - 1)**3
Let r = 1667 - 1667. Let l(c) be the third derivative of 1/84*c**8 + 0*c**5 + 0*c**4 + 0*c + 4/21*c**7 + 11*c**2 + 0*c**3 + 5/6*c**6 + r. Factor l(t).
4*t**3*(t + 5)**2
Let m(k) be the first derivative of k**4/6 - 166*k**3/3 - 2095. Factor m(r).
2*r**2*(r - 249)/3
Let p(t) be the third derivative of -t**7/1400 + t**6/120 + t**5/25 - 6*t**4/5 + 9*t**3 + t**2 + 10*t. Let m(r) be the first derivative of p(r). Factor m(x).
-3*(x - 4)**2*(x + 3)/5
Let y be (2 + -7 + 4)*71/(-142). Factor -7*q - 13/2 - y*q**2.
-(q + 1)*(q + 13)/2
Suppose -7*y = -5*y + 5*u - 93, 0 = -4*y - 5*u + 201. Factor -17*b - 1152 - 25*b - 2*b**2 - y*b.
-2*(b + 24)**2
Let s(t) be the second derivative of -t**6/6 + 7*t**5/2 + 245*t**4/12 + 85*t**3/3 + 1556*t. Factor s(a).
-5*a*(a - 17)*(a + 1)*(a + 2)
Let c(a) = -16*a**2 + 1. Let s(x) = 52*x**2 - 343*x - 89. Let r(g) = 6*c(g) + 2*s(g). Factor r(k).
2*(k - 86)*(4*k + 1)
Let y = -3793 + 14375/4. Let m = -199 - y. Factor -3/2*q**3 + 3/4 - 5/2*q + 3*q**2 + m*q**4.
(q - 3)*(q - 1)**3/4
Let -220*c + 16*c**2 - 3*c**2 - 68*c**2 + 20*c**2 + 0*c**2 + 5*c**3 = 0. Calculate c.
-4, 0, 11
Let u(p) = -p**3 + 9*p**2 + 5*p - 51. Let g be u(9). Let i be (0 - (-4)/g)*23/(-46). Solve -1/3*f**4 + f**3 + 0 + i*f - f**2 = 0.
0, 1
Let c(d) = 210*d**2 - 1340*d - 1550. Suppose 3*q + 2*m = -16, -6*m = 3*q - 5*m + 17. Let y(j) = 23*j**2 - 149*j - 172. Let o(a) = q*c(a) + 55*y(a). Factor o(n).
5*(n - 32)*(n + 1)
Let y = -309 + 314. Let u(b) be the third derivative of 5*b**2 + 1/2*b**4 + 0 + 0*b - 1/30*b**y - 3*b**3. Factor u(k).
-2*(k - 3)**2
Let j(c) be the first derivative of 7*c**6/3 - 298*c**5/5 + 1001*c**4/2 - 4454*c**3/3 + 1692*c**2 - 648*c + 261. Suppose j(u) = 0. Calculate u.
2/7, 1, 2, 9
Let q(u) be the third derivative of 0 + 0*u + 1/30*u**6 + 0*u**3 + 16/15*u**5 - 62*u**2 + 0*u**4. Determine h so that q(h) = 0.
-16, 0
Determine g so that 225*g**3 + 133 - 6*g**4 - 4865*g**2 + 5325 + g**4 + 2975*g + 2780*g**2 + 10712 = 0.
-2, 7, 33
Suppose -412/9*r**2 - 2/3*r**4 - 64/9*r - 98/9*r**3 + 256/9 = 0. Calculate r.
-8, -1, 2/3
Let n be 77/22 + (-1)/(-2). Let -y**2 + 3*y**4 - 2*y**n - 10*y + 0*y**4 + 8*y - y**5 + 3*y**3 = 0. Calculate y.
-1, 0, 1, 2
Let d(x) be the second derivative of x + 1/15*x**6 + 0*x**2 + 4*x**3 + 8/3*x**4 + 43 + 7/10*x**5. Solve d(w) = 0.
-3, -2, 0
Let k(z) be the third derivative of z**6/160 - 13*z**5/10 - 107*z**4/8 - 54*z**3 + 77*z**2 + z. Factor k(n).
3*(n - 108)*(n + 2)**2/4
Let f be (90/(-105))/((-44)/(-77))*(-20)/(-6) - -7. Factor 0 - 4/3*k**3 - 128/3*k + 24*k**f.
-4*k*(k - 16)*(k - 2)/3
Determine z so that -222*z - 96*z**2 - 22*z**3 - 2693 - 423*z - 75*z + 18*z**3 + 1093 = 0.
-10, -4
Suppose 60 = 5*v + 4*g, 3*v = 2*g - g + 19. Suppose -v*a + 2*a + 276 = 0. Factor -y**3 + 5*y**3 - a*y**2 + 54*y**2 + 4*y.
4*y*(y + 1)**2
Factor 4/3*r**2 - 8*r - 160/3.
4*(r - 10)*(r + 4)/3
Solve -76*j**3 + 312*j**2 + 14*j**4 - 9*j**4 - 48*j + 4*j**5 - 200*j**2 + 3*j**4 = 0 for j.
-6, 0, 1, 2
What is f in -56/11 + 366/11*f**2 + 62/11*f**3 + 42/11*f**5 - 104/11*f - 310/11*f**4 = 0?
-1, -2/7, 2/3, 1, 7
Let n(u) be the third derivative of 0 + 1/360*u**6 + 1/36*u**5 + 0*u - 4/9*u**3 + 55*u**2 + 1/36*u**4. Solve n(y) = 0.
-4, -2, 1
Let m(s) be the first derivative of 1/12*s**3 + 1/12*s**4 + 5*s + 1/240*s**6 + 5 + 0*s**2 + 1/32*s**5. Let r(g) be the first derivative of m(g). Factor r(b).
b*(b + 1)*(b + 2)**2/8
Let d(s) = -s**3 + s**2 - s. Let t be d(0). Let p = -213743 + 855017/4. Determine f so that 0 + 3/4*f**5 + t*f - p*f**3 + 9/2*f**4 + 6*f**2 = 0.
-8, 0, 1
Let d(l) be the second derivative of 5*l**4/24 + 205*l**3/6 - 415*l**2/4 + 863*l. Factor d(z).
5*(z - 1)*(z + 83)/2
Let a(o) be the second derivative of 7/4*o**5 + 235/6*o**3 + 10*o + 0 - 25*o**2 - 55/3*o**4. Determine n so that a(n) = 0.
2/7, 1, 5
Let z = -3 + 6. Suppose 0 = 720*a + 332*a. Solve 0*g**4 + a - 3/2*g + 15/8*g**z + 0*g**2 - 3/8*g**5 = 0.
-2, -1, 0, 1, 2
Solve -21347*h**2 + 43496*h**2 + 1188 + 4*h**4 - 21645*h**2 + 80*h**3 + 1296*h = 0.
-11, -3
Suppose 3*j + 9 = y, 5*y + j = -2*j + 27. Let r = -4332 + 4334. Factor 0*q**r - 3*q**2 - y*q**3 - 14*q**4 + 3*q**5 + 17*q**4 + 3*q**3.
3*q**2*(q - 1)*(q + 1)**2
Let g(u) = 155*u**3 + 3*u**2 + 10*u + 3. Let k be g(1). Solve 2/3*i**5 + 567*i**2 + 243*i + 55/3*i**4 + 0 + k*i**3 = 0 for i.
-9, -1/2, 0
Let s(a) be the first derivative of -3*a**5/10 + 15*a**4/8 - 7*a**3/2 + 9*a**2/4 + 1713. Factor s(z).
-3*z*(z - 3)*(z - 1)**2/2
Let m(r) be the third derivative of -r**10/30240 + r**9/1008 + r**5/30 + r**3/6 + 4*r**2 + 11. Let h(j) be the third derivative of m(j). Factor h(a).
-5*a**3*(a - 12)
Let z(u) be the first derivative of -u**7/7980 - u**6/855 + u**5/228 - 20*u**3/3 - 2*u**2 + 101. Let m(o) be the third derivative of z(o). Factor m(r).
-2*r*(r - 1)*(r + 5)/19
Solve -128 + 2/5*a**3 - 56/5*a**2 + 352/5*a = 0.
4, 20
Let l(i) be the first derivative of -4*i**6/15 + 78*i**5/25 - 13*i**4 + 22*i**3 - 46*i**2/5 - 48*i/5 - 1405. Solve l(f) = 0.
-1/4, 1, 2, 3, 4
Let m(n) be the third derivative of n**7/42 + 95*n**6/4 + 26691*n**5/4 - 411845*n**4/6 + n**2 - 4797. Factor m(p).
5*p*(p - 4)*(p + 287)**2
Let s(g) be the first derivative of g**5 - 25*g**4/2 - 20*g**3/3 + 100*g**2 + 630. Suppose s(j) = 0. What is j?
-2, 0, 2, 10
Let r(p) = -p - 1. Suppose 4*y - 2*y + 225 = q, 4*y = 5*q - 447. Let s = 109 + y. Let l(m) = -m**2 + m + 8. Let d(w) = s*r(w) - l(w). Let d(b) = 0. Calculate b.
-4, 1
Let k(r) be the first derivative of 37/6*r**3 - 51/16*r**4 + 1/8*r**6 + 1/10*r**5 + 115 - 10*r + 3/2*r**2. What is w in k(w) = 0?
-5, -2/3, 1, 2
Let c = 42/463 - 125/6482. Let w(b) be the first derivative of -2/35*b**5 - c*b**4 + 0*b**2 - 20 + 0*b**3 + 0*b. What is t in w(t) = 0?
-1, 0
Let q(a) be the first derivative of -5*a**3/3 + 305*a**2/2 - 1140*a + 84. Factor q(c).
-5*(c - 57)*(c - 4)
Factor -61*h**2 - 2165 + 2255 - 14*h**2 - 357*h.
-3*(h + 5)*(25*h - 6)
Suppose z - u - 21 = 0, -4*u + 105 + 45 = 5*z. Let n = -26 + z. Solve -1/2*j**2 + 2 + n*j = 0.
-2, 2
Suppose 33*h + 5*h - 217 + 139 = -h. Factor 28/3 - 26/3*o - 2/3*o**h.
-2*(o - 1)*(o + 14)/3
Let s be (70 - (-1263)/60) + (-6)/20. Factor -s - 3/4*t**2 + 33/2*t.
-3*(t - 11)**2/4
Let j(i) = 3*i + 46. Let h be j(-14). Suppose -h*k + 186 = -2*l - l, l - 43 = -k. Let 39*o + 36*o**2 + 4*o**3 + k*o + 24*o + 27 + 81 = 0. Calculate o.
-3
Let u be (-16)/(-20)*24/272. Let i = u - -396/1615. Find o, given that 0*o - 10/19*o**4 + 0 - 16/19*o**3 - i*o**2 = 0.
-1, -3/5, 0
Let s(n) be the third derivative of n**8/1176 - 59*n**7/735 + 943*n**6/420 - 1853*n**5/210 - 242*n**4/3 - 560*n**3/3 + 2049*n**2. Suppose s(g) = 0. Calculate g.
-1, 5, 28
Let r(t) be the first derivative of 33*t**4/16 + 21*t**3/2 + 147*t**2/8 + 27*t/2 - 2108. Factor r(s).
3*(s + 1)*(s + 2)*(11*s + 9)/4
Suppose 0 = 13*u - 6*u - 105. Factor -16*f**2 + 20*f - 150 + 38*f + 6*f**2 + u*f + 42*f.
-5*(f - 10)*(2*f - 3)
Let c = -845/1194 + 174/199. Factor 0 + 0*f + c*f**3 + 2/3*f**2.
f**2*(f + 4)/6
Let b(v) be the first derivative of 2*v**5/105 + 113*v**4/42 - 2*v**3/21 - 337*v**2/21 + 452*v/21 - 1124. Solve b(a) = 0.
-113, -2, 1
Let o = -852464 - -852466. Factor 8/5*w**o + 2/5*w**3 + 0 + 6/5*w.
2*w*(w + 1)*(w + 3)/5
Factor 2/9*j**2 + 6*j - 116/9.
2*(j - 2)*(j + 29)/9
Let n(k) = 22*k**2 - 2064*k + 492012. Let l(j) = 2*j**2 - 8*j - 2. Let b(m) = 10*l(m) - n(m). What is u in b(u) = 0?
496
Let q(b) be the first derivative of 4/9*b**3 + 0*b + 5/36*b**4 + 0*b**2 