actor m(z).
-(z + 2)**2*(z + 264)**2
Let d(y) = -2*y**2 + 13*y + 8. Let f be d(6). Suppose 11*b - 10*b = f. Solve -47*m - 47*m**2 - 18 - 49*m**2 - 57*m - 18*m**3 - b = 0.
-4, -2/3
Let m(d) = -26*d**5 + 52*d**4 + 182*d**3 + 86*d**2 - 9*d + 9. Let q(z) = z**4 - 2*z**3 - z**2 - z - 3. Let x(g) = -4*m(g) - 12*q(g). Solve x(t) = 0 for t.
-1, 0, 3/26, 4
Let v(x) be the second derivative of -3*x**5/50 - x**4/30 + 2*x**3/15 - 10*x - 1. Let v(t) = 0. Calculate t.
-1, 0, 2/3
Let p be 50/4 + 14 + (2 - (-138)/(-6)) - -2. What is o in p*o - 21 + 3/2*o**2 = 0?
-7, 2
Let v(h) be the first derivative of 2/15*h**3 + 2/5*h**2 + 2/5*h + 61. Suppose v(s) = 0. What is s?
-1
Let o = 137/90 + 13/90. Let j(p) be the first derivative of -5 + 15/2*p**2 + 0*p + o*p**3. Let j(u) = 0. What is u?
-3, 0
Suppose 3*b + 5*b = 5192. Factor 34*j**3 - b*j**2 - 34*j + 645*j**2 + 1 + 3.
2*(j - 1)*(j + 1)*(17*j - 2)
Let r(h) be the third derivative of h**5/180 - 13*h**4/36 + 23*h**3/6 + 234*h**2. Determine z so that r(z) = 0.
3, 23
Let r(f) be the second derivative of 0 - 6*f**3 - 2/5*f**6 + 0*f**2 + f**4 + 7/4*f**5 + 22*f + 1/42*f**7. Determine l, given that r(l) = 0.
-1, 0, 1, 6
Solve 2909 + 2135 + 3794 + o**3 - 59*o**2 + 627*o - 1475 + 260 = 0 for o.
-7, 33
Let w(o) = o**3 - 65*o**2 - 430*o + 288. Let c be w(71). Determine b, given that 8/3*b**2 + 0*b**c - 32/9*b**3 - 8/3 + 28/9*b + 4/9*b**5 = 0.
-3, -1, 1, 2
Let z(o) = o**2 + o + 3. Let r be z(0). Let j(s) = s**3 + 6. Let y be j(0). Find p, given that -6*p**r + y*p**4 - 3*p + 3 - 3*p**3 + 10 - 27*p**2 - 4 = 0.
-1, 1/2, 3
Let m(o) be the first derivative of 1/3*o**3 + 0*o - 53 + 1/2*o**2 - 1/5*o**5 - 1/4*o**4. Factor m(r).
-r*(r - 1)*(r + 1)**2
Suppose -34*y + 137*y = 163152. Let h = 1588 - y. Factor -1/3*b**5 + 0*b**2 + 1/3*b**h + 2/3*b**3 + 0 + 0*b.
-b**3*(b - 2)*(b + 1)/3
Let v(x) = -2*x**3 + 12*x**2 - 8*x - 5. Let b be v(5). Let s(w) be the first derivative of -b + 25*w + 5*w**2 + 1/3*w**3. Suppose s(l) = 0. Calculate l.
-5
Let y(g) be the first derivative of -g**6/1260 + g**5/60 - 5*g**4/42 + 2*g**3 + 22. Let s(j) be the third derivative of y(j). Solve s(q) = 0 for q.
2, 5
Let h(x) = 424*x + 9. Let f be h(-2). Let t = 840 + f. Suppose 2/3*c**2 + 1/3*c**4 + 4/3*c**3 - 4/3*c - t = 0. What is c?
-3, -1, 1
Let t(b) be the third derivative of b**8/1008 - b**7/42 + 77*b**6/360 - 137*b**5/180 - 5*b**4/12 + 100*b**3/9 + 3*b**2 - 146. Determine r, given that t(r) = 0.
-1, 2, 4, 5
Let z = -32 + 42. Suppose 4*h - 10 = z. Determine w so that 3*w**3 - 7 - 21*w - 9*w**2 - h + 3*w**2 = 0.
-1, 4
Let j = -140333 + 140335. Let -1/2*s**5 + 0 + 0*s + 9/2*s**3 + 0*s**4 + 0*s**j = 0. Calculate s.
-3, 0, 3
Let u(x) be the third derivative of 0*x**5 - 1 + 0*x + 92*x**2 + 13/120*x**4 - 2/5*x**3 - 1/600*x**6. Factor u(f).
-(f - 3)*(f - 1)*(f + 4)/5
Let t(c) be the first derivative of 5*c**6/18 - 41*c**5/3 + 505*c**4/4 + 12305*c**3/9 + 5290*c**2/3 + 1988. Solve t(x) = 0.
-4, -1, 0, 23
Let u(q) be the first derivative of 5*q**4/48 - q**3/12 - 3*q**2/8 + 40*q - 62. Let g(r) be the first derivative of u(r). Factor g(x).
(x - 1)*(5*x + 3)/4
Let p(v) = 76*v**2 - 18556*v + 2930. Let r be p(244). Factor -82/5*x + 2*x**r + 16/5.
2*(x - 8)*(5*x - 1)/5
Factor -642 + 4*o**3 - 762 - 236*o - 32*o**2 + 1092.
4*(o - 13)*(o + 2)*(o + 3)
Let m(t) be the second derivative of -2*t**2 + 11*t + 4 - 1/12*t**4 - 5/6*t**3. Factor m(o).
-(o + 1)*(o + 4)
Let g(d) be the first derivative of d**4/20 + d**3/5 - 2*d**2/5 - 6218. Let g(z) = 0. Calculate z.
-4, 0, 1
Let z(f) be the third derivative of -8/3*f**3 - 7/6*f**4 - 1/84*f**8 + 0*f + 4/105*f**7 + 3 - 5*f**2 + 2/15*f**5 + 4/15*f**6. Factor z(u).
-4*(u - 4)*(u - 1)*(u + 1)**3
Let w be 4/(-18) - 10/(-45)*10. Let s(j) = 3*j**2 + j + 5. Let t be s(7). Factor -10*r - t*r**w - 6*r**3 + 43*r - 18 + 168*r**2.
-3*(r - 3)*(r + 2)*(2*r - 1)
Let a(n) be the second derivative of 3*n**5/20 - 13*n**4/2 + 72*n**3 + 418*n. Solve a(f) = 0 for f.
0, 8, 18
Let r(o) be the first derivative of o**6/120 + 9*o**5/5 + 162*o**4 + 118*o**3/3 - 145. Let q(v) be the third derivative of r(v). Factor q(b).
3*(b + 36)**2
Let c(s) = -2*s**2 + 55*s - 35. Let t be c(25). Let n = 94 - t. Factor 2/5*h + 2/5*h**2 - 2/5*h**3 - 2/5*h**n + 0.
-2*h*(h - 1)*(h + 1)**2/5
Suppose a + 9*a = -0*a - 16*a. Let g(h) be the first derivative of 5*h**3 + 5*h**2 + a*h + 4 + 5/4*h**4. Determine k, given that g(k) = 0.
-2, -1, 0
Let y = 3854 + -7705/2. Let k be 27/(-3)*(44/16 - 3). Determine n so that -3*n**3 + 0*n**4 + k*n + y*n**2 + 3/4*n**5 - 3/2 = 0.
-2, -1, 1
Let d(x) = -x**2 - 136*x - 1510. Let c(i) = 15*i**2 + 2175*i + 24159. Let o(q) = 2*c(q) + 33*d(q). Factor o(j).
-3*(j + 18)*(j + 28)
Let l = 709/1660 + -9/332. What is p in 44/5*p + l*p**2 + 42/5 = 0?
-21, -1
Let 21*s + 3/4*s**3 + 15*s**2 - 108 = 0. What is s?
-18, -4, 2
Suppose -25 = -5*o, 3*o = 88*f - 91*f + 27. Let m(g) be the first derivative of 0*g**2 + 28 - 1/10*g**f + 0*g + 16/15*g**3. What is q in m(q) = 0?
0, 8
Let i(c) = -6*c**3 + 126*c**2 - c - 2123. Let k(v) = -v**3 + 25*v**2 - 426. Let r(m) = -2*i(m) + 11*k(m). Let r(a) = 0. What is a?
-22, -5, 4
Find i, given that -21*i**5 + 113*i + 16817*i**2 - 17831*i**2 + 482 + 414*i**4 - 1959*i**3 + 118 + 1867*i = 0.
-1, -2/7, 1, 10
Solve -1903236/7*m**2 - 1/7*m**4 + 2389/7*m**3 + 506259184/7*m - 504358336/7 = 0 for m.
1, 796
Let v(l) be the first derivative of 1/12*l**4 + 0*l - 1/2*l**2 + 11/18*l**3 - 199. What is z in v(z) = 0?
-6, 0, 1/2
Let m(d) be the second derivative of -d**6/180 - d**5/40 + 5*d**4/36 - 6*d + 24. Factor m(p).
-p**2*(p - 2)*(p + 5)/6
Suppose -57 + 4 = -7*g - 25. Let m(z) be the second derivative of z**g + 4*z**2 + 10/3*z**3 + 0 + 6*z. Solve m(p) = 0 for p.
-1, -2/3
Let l(j) = -j**3 - 4*j**2 + 10*j - 7. Let w be l(-6). Let d(h) = h + 17. Let u be d(w). Let -u*f - 9*f**3 + 3*f**4 + 9*f**2 - 27*f + 46*f = 0. What is f?
0, 1
Let p = -808 - -826. Suppose 82 - p = 16*z. Solve z*w + 9/4*w**2 - 1 = 0 for w.
-2, 2/9
Factor 65/2*t**3 + 0*t + 0 + 20*t**2.
5*t**2*(13*t + 8)/2
Let l = -110389 - -993503/9. Suppose 4*k = 2*k. Factor k - 8/9*a**3 + 10/9*a**2 + l*a**4 - 4/9*a.
2*a*(a - 2)*(a - 1)**2/9
Let d = -51624 - -51626. Factor 0 - 21/2*x**3 - 147/4*x**d + 0*x - 3/4*x**4.
-3*x**2*(x + 7)**2/4
Let p = 117327/731 + -3/1462. Let s = p - 160. Factor -b - 1/2 + 0*b**2 + b**3 + s*b**4.
(b - 1)*(b + 1)**3/2
Let z(g) be the first derivative of g**6/288 - g**5/6 + 10*g**4/3 + 19*g**3 + 72. Let r(y) be the third derivative of z(y). Suppose r(u) = 0. What is u?
8
Let 4472/3*q - 5408 - 320/9*q**2 + 2/9*q**3 = 0. What is q?
4, 78
Let q(a) = a**3 - 27*a**2 - 122*a - 58. Let f be q(31). Let y(o) be the first derivative of 0*o - 1/2*o**3 - 1/2*o**2 + f - 1/8*o**4. Factor y(s).
-s*(s + 1)*(s + 2)/2
Let t be 8/(-10)*(-10)/4. Let f = 153406 - 153403. Solve -2/11*a**t + 0*a + 0 + 2/11*a**f = 0.
0, 1
Let f(g) be the first derivative of -2/3*g**3 + 1/12*g**4 + 128 + 3/2*g**2 + 0*g. Factor f(b).
b*(b - 3)**2/3
Suppose -3*m = 3*g + 48, -5*g - 41 = 2*m + 6. Let d(h) = 6*h**3 - 12*h**2 + 16*h + 1. Let s(b) = b**3 - 2*b**2 + 3*b. Let c(o) = m*s(o) + 2*d(o). Factor c(i).
(i - 2)*(i - 1)*(i + 1)
Let z(g) be the first derivative of 0*g**2 + 0*g - 8/3*g**4 + 2/15*g**5 - 8*g**3 - 154. Factor z(f).
2*f**2*(f - 18)*(f + 2)/3
Let t = -84 - -88. Factor -3*d**t + 3*d - 60*d**2 + 74*d**2 + 9*d + d**4.
-2*d*(d - 3)*(d + 1)*(d + 2)
Let -2/13*v**5 + 0*v**4 + 0*v**2 + 8/13*v**3 + 0*v + 0 = 0. Calculate v.
-2, 0, 2
Suppose 117 = 23*f + 876. Let b be (2/f)/(3/(-54)). What is c in -18/11 - 2/11*c**2 - b*c = 0?
-3
Find j, given that 1539*j + 1538*j - 160 - j**2 - 4614*j + 1549*j + 5*j**2 = 0.
-8, 5
Let 145 + 5/3*v**2 - 440/3*v = 0. What is v?
1, 87
Determine s, given that -91*s**2 + 200*s + 0*s**3 - 99*s**2 + 205*s**2 - 5*s**3 = 0.
-5, 0, 8
Suppose 0 = 82*s - 87*s + z + 9, s - 5*z + 27 = 0. Let p(w) be the first derivative of 30 - 5/3*w**s - 5/2*w**2 + 0*w + 5/4*w**4 + w**5. Factor p(h).
5*h*(h - 1)*(h + 1)**2
Let l be 1 - (-13 - (6 + -20)). Let t(s) be the second derivative of -5/6*s**4 + l - 6*s + 0*s**2 + 1/4*s**5 - 5/2*s**3. Factor t(i).
5*i*(i - 3)*(i + 1)
Suppose -39744/5*w - 172*w**2 - 33856/15 - 14/15*w**3 = 0. What is w?
-92, -2/7
Factor n**3 - 39*n - 418 - 6*n - 401 - 432 + 8*n**2 + 1287.
