vative of 24/7*w**3 - 38*w**2 + 1/7*w**4 + 1/420*w**5 + 0 + 0*w. Find l such that o(l) = 0.
-12
Let p = 388 - 377. Solve -p - 20*w**3 - 38*w**2 - 88*w - 25 - 4 - 28*w**2 - w**4 - w**4 = 0 for w.
-5, -2, -1
Let f(i) be the second derivative of i**7/231 + 2*i**6/33 + 27*i**5/110 + 7*i**4/33 - 28*i**3/33 - 24*i**2/11 + 1455*i. Solve f(l) = 0.
-6, -2, -1, 1
Let l(v) = -v**3 - v - 2. Let w(d) = -26*d**3 - 26*d**2 - 70*d - 70. Let u(f) = -24*l(f) + w(f). Solve u(x) = 0.
-11, -1
Let m(r) = 8*r**3 + 404*r**2 - 126*r + 14. Let q(u) = -3*u**3 - 135*u**2 + 45*u - 5. Let i(v) = -5*m(v) - 14*q(v). What is t in i(t) = 0?
0, 65
Factor 430*b - 42*b**2 - 405*b + 52208*b**3 - 21*b**5 + 44*b**4 - 2 - 52212*b**3.
-(b - 1)**3*(b + 1)*(21*b - 2)
Factor 996/11 - 1002/11*v + 6/11*v**2.
6*(v - 166)*(v - 1)/11
Let b be 460/552*7/5 - 7/(8 + 6). Factor 1058/3 + b*r**2 - 92/3*r.
2*(r - 23)**2/3
Suppose 0 = -19*b + 59 - 2. Suppose 5*a = -5*s + 20, 5*a + 234 = -2*s + 242. Determine g so that g**2 - 4/3*g**b + 1/3*g**4 + a + 0*g = 0.
0, 1, 3
Let w(r) be the second derivative of r**5/25 - 21*r**4/5 - 44*r**3/5 + 256*r**2/5 + 3*r + 2. Find b, given that w(b) = 0.
-2, 1, 64
Let m(n) be the second derivative of -1 + 0*n**2 - 111*n - 3/2*n**3 + 1/12*n**4. Factor m(k).
k*(k - 9)
Suppose -155*h + 2898 + 1572 = 739*h. Factor h - 9/4*m + 1/4*m**2.
(m - 5)*(m - 4)/4
Let q be 3*(-5)/10*-6. Suppose 3*v - q = 3. Factor 2133*m**2 - 2133*m**2 - 2*m**3 - 4*m**v.
-2*m**3*(2*m + 1)
Factor -135/2 - 3/2*h**2 + 21*h.
-3*(h - 9)*(h - 5)/2
Suppose 203*v = 474 + 541. Let m(j) be the second derivative of -1/12*j**4 + 0 - j**2 - v*j + 1/2*j**3. Solve m(l) = 0 for l.
1, 2
Determine p so that -9 + 27/5*p**3 + 27/5*p**2 - 6/5*p**4 - 51/5*p = 0.
-1, 3/2, 5
Let y(m) = -2360*m**3 - 6870*m**2 - 4545*m + 17. Let r(b) = 3777*b**3 + 10992*b**2 + 7272*b - 27. Let h(g) = 13*r(g) + 21*y(g). Suppose h(j) = 0. What is j?
-2, -1, 1/153
Let h(w) be the third derivative of w**8/3780 - w**7/630 - w**6/810 + w**5/90 - 8*w**3 - 67*w**2. Let p(s) be the first derivative of h(s). Factor p(n).
4*n*(n - 3)*(n - 1)*(n + 1)/9
Factor b**2 - 616 - 2*b**2 + 115*b + 137*b - 94*b.
-(b - 154)*(b - 4)
Suppose 107*z = 100*z + 14. Let g be 15/z*406/580. Factor -9/2*p - g*p**2 - 1/4*p**4 - 2*p**3 + 0.
-p*(p + 2)*(p + 3)**2/4
Suppose 2*z = 2*t + 22 - 10, 0 = z - 3*t - 18. Determine j so that z + 32/3*j - 80/3*j**2 - 8*j**3 + 68/3*j**4 - 20/3*j**5 = 0.
-1, 0, 2/5, 2
Let v(r) be the second derivative of 1/18*r**3 - 1/36*r**4 + 0 - 6*r + r**2. Let v(h) = 0. What is h?
-2, 3
Suppose -y - b = -1, -2*b + 6 - 7 = y. Factor 7*c**2 - 54*c**4 + 6*c**y + 81*c**4 - 28*c**4.
-c**2*(c - 7)*(c + 1)
Factor 163 + 1/2*c**2 - 165/2*c.
(c - 163)*(c - 2)/2
Let h be (8/(-14))/(-33 + 19479/602). Determine t, given that 0 + 2*t**3 + 2/9*t**5 - 8/3*t + 4/3*t**4 - h*t**2 = 0.
-3, -2, 0, 1
Let h be (3/(-4))/(198/(-48)). Let p(z) = -40*z + 3. Let d be p(0). Find m such that 0 + 0*m**2 + h*m**d - 2/11*m = 0.
-1, 0, 1
Let y = -132773 - -398323/3. Find l such that 2/15*l**3 + y - 14/15*l - 8/15*l**2 = 0.
-2, 1, 5
Let b(d) be the second derivative of d**7/105 - 37*d**6/25 + 3023*d**5/50 + 3247*d**4/30 - 1008*d**3/5 - 3136*d**2/5 + d - 28. What is q in b(q) = 0?
-1, 1, 56
Suppose -12 = 3*u + 4*p, -5*p - 10 = 3*u + 5. Suppose -2*h + 3*a = 11, -18 = -4*h - 2*a - u*a. Solve 2 + 22*w**2 - 23*w**h + 4*w - 5*w = 0 for w.
-2, 1
Suppose -95*k = -101*k + 192. Factor -27*u - k*u**3 + 29*u**3 - 8 + 20 + 18*u**2.
-3*(u - 4)*(u - 1)**2
Let p(j) be the first derivative of j**5/25 + 13*j**4/10 + 16*j**3 + 459*j**2/5 + 243*j + 8037. What is f in p(f) = 0?
-9, -5, -3
Let v(z) be the first derivative of 0*z + 3/4*z**5 - 1/72*z**6 - 135/8*z**4 + 0*z**2 + 30 - 4/3*z**3. Let l(c) be the third derivative of v(c). Factor l(q).
-5*(q - 9)**2
Let p(u) be the second derivative of u**5/10 - 25*u**4/3 - 212*u**3/3 - 216*u**2 + 1126*u. Factor p(f).
2*(f - 54)*(f + 2)**2
Let f(t) = -t**2 + 40*t - 108. Let n be f(3). Factor -12 + 0 + 26*h**2 + 19*h**2 - n + 12 - 6*h.
3*(3*h - 1)*(5*h + 1)
Let x(a) be the first derivative of -2*a**3/39 + 7*a**2/13 + 456*a/13 + 7632. Suppose x(j) = 0. What is j?
-12, 19
Let i = -251 - -253. Determine z so that 38 + 2*z**i - 47 + 54*z + 61 + 0*z**2 = 0.
-26, -1
Factor 26*s**3 + 10*s + 53*s**3 - 77*s**3 + 28 - 16*s**2.
2*(s - 7)*(s - 2)*(s + 1)
Let u(w) be the second derivative of -49*w**5/100 + 1043*w**4/5 + 1194*w**3/5 + 512*w**2/5 - 21*w + 3. Suppose u(j) = 0. Calculate j.
-2/7, 256
Let j be 94/(-8) - 41525/(-3020). Factor 2/7*h**j - 54/7 + 12/7*h.
2*(h - 3)*(h + 9)/7
Solve 259*i**2 + 144 - 283*i**2 + 266*i**3 - 5*i**3 - 316*i = 0 for i.
-36/29, 2/3
Factor -506018 + 48*h**2 + 54*h**2 - 161*h**2 + 57*h**2 + 2012*h.
-2*(h - 503)**2
Let h(t) be the first derivative of 2*t**5/45 + 12*t**4 + 22892*t**3/27 - 2616*t**2 + 23762*t/9 - 1834. Factor h(p).
2*(p - 1)**2*(p + 109)**2/9
Suppose -4*h - 43*h = -141. Let i be (-1)/20*(-22 - h). Factor -1 - 1/4*l**2 + i*l.
-(l - 4)*(l - 1)/4
Let k = 1634 - 1595. Let m(t) be the third derivative of -1/140*t**5 + 0*t - 18/7*t**3 + 0 + k*t**2 + 3/14*t**4. Factor m(r).
-3*(r - 6)**2/7
Let 0 + 2/5*z**5 + 88/5*z**2 - 6/5*z**3 - 56/5*z - 28/5*z**4 = 0. Calculate z.
-2, 0, 1, 14
Suppose -91*g**3 + 201*g - 57*g**3 - 542*g**2 + 63 + 66*g**2 - 833*g - 351 - 16*g**4 = 0. Calculate g.
-4, -9/4, -2, -1
Factor 1239*r**3 + 78*r**2 - 622*r**3 - 620*r**3 + 13*r - 85*r - 3*r**4.
-3*r*(r - 4)*(r - 1)*(r + 6)
Let l(r) be the second derivative of 2 - 3/80*r**5 - 3/4*r**2 - 1/12*r**6 - 11/24*r**3 + 5/8*r**4 - 2*r. Let l(p) = 0. What is p?
-2, -3/10, 1
Let x(y) be the third derivative of y**8/672 + y**7/105 - y**6/48 - y**5/6 + y**4/12 + 4*y**3/3 - 1535*y**2 - y. Determine u so that x(u) = 0.
-4, -2, -1, 1, 2
Let r be ((-8636)/(-340) - 25)/((-1)/(-2)). Factor 6/5*n**4 + 6/5*n - 2/5*n**5 - 2/5 - r*n**2 - 4/5*n**3.
-2*(n - 1)**4*(n + 1)/5
Let t(a) be the second derivative of a**6/1080 + a**5/72 - a**4/12 - 20*a**3/3 + a - 8. Let g(z) be the second derivative of t(z). Factor g(r).
(r - 1)*(r + 6)/3
Let w(k) be the first derivative of 60*k**2 + 45/4*k**4 + 28 + 145/3*k**3 + 20*k. Find x, given that w(x) = 0.
-2, -1, -2/9
Factor 278784*u + 4/3*u**3 + 1056*u**2 + 24532992.
4*(u + 264)**3/3
Let g(v) = -14*v**3 - 750*v**2 + 3849*v - 3103. Let m(w) = -25*w**3 - 1500*w**2 + 7700*w - 6205. Let z(l) = 5*g(l) - 3*m(l). Let z(y) = 0. Calculate y.
-155, 1, 4
Let x(t) = 18*t**5 - 4*t**4 - 10*t**3 + 6*t**2 + 24. Let d(i) = 70*i**5 - 15*i**4 - 39*i**3 + 23*i**2 + 92. Let p(z) = 6*d(z) - 23*x(z). Factor p(w).
2*w**3*(w + 1)*(3*w - 2)
Let h(q) be the third derivative of -q**8/504 - 2*q**7/105 - 2*q**6/45 - 2*q**2 + 2265. Factor h(g).
-2*g**3*(g + 2)*(g + 4)/3
Let r = 21 - 8. Suppose -6*c = -5 - r. Factor 4*v - 10*v**c + 0*v - 4 - 4*v**4 + 2*v**3 + 4*v**5 + 8*v**2.
4*(v - 1)**3*(v + 1)**2
Determine u so that 0 + 258064/3*u + 1/3*u**3 - 1016/3*u**2 = 0.
0, 508
Factor -2/7*g**2 + 240/7*g - 2200/7.
-2*(g - 110)*(g - 10)/7
Let l(j) be the third derivative of j**6/120 + 13*j**5/75 - 35*j**4/24 - 13*j**3/5 - 2404*j**2. Find q such that l(q) = 0.
-13, -2/5, 3
Factor -56761*k**2 - k**3 + 24 + 56749*k**2 - 29*k + 18.
-(k - 1)*(k + 6)*(k + 7)
Let q(z) be the second derivative of -z**5/570 + 4*z**3/57 - 87*z**2/2 - 64*z. Let d(a) be the first derivative of q(a). Determine n, given that d(n) = 0.
-2, 2
Let k(h) = h**2 + 904*h - 69222. Let s be k(71). Let -9/2*t**4 + 24 + 12*t**2 + 78*t - 39/2*t**s = 0. What is t?
-4, -2, -1/3, 2
Solve -12817467/4 - 3/4*h**2 - 6201/2*h = 0.
-2067
Let p(i) be the second derivative of 2/195*i**6 + 0*i**4 + 0*i**2 + 6*i + 1/130*i**5 + 0 + 1/273*i**7 + 0*i**3. Factor p(y).
2*y**3*(y + 1)**2/13
Let l be -16 + 1 - -5 - -1. Let z(m) = m + 11. Let s be z(l). Suppose 38*i**2 - 7*i**s - 11*i**2 - 100*i + 20 + 25*i**2 = 0. Calculate i.
2/9, 2
Let r be 5 + (1 - -1)/(1*(-5 + 3)). Let q(i) be the first derivative of 17 - 1/2*i**r + 0*i + 8/3*i**3 - 4*i**2. Factor q(m).
-2*m*(m - 2)**2
Let v be 5 - 243/(-72) - (12 - -3 - 7). Suppose v*y**2 - 3/8*y**4 - 21/8*y**3 + 0 + 21/8*y = 0. What is y?
-7, -1, 0, 1
Let r(y) = 8*y**2 + 137*y + 260. Let o be r(-15). Determine x so that 4/9*x - 8/9*x**o + 2/9 + 14/9*x**4 + 4/9*x**3 - 16/9*x**2 = 0.
-1, -1/4, 1
Let c(m) be the third de