econd derivative of 19/42*k**4 + 0 + 0*k**2 + 3/35*k**6 + 33/70*k**5 - 100*k + 1/7*k**3. Factor z(o).
2*o*(o + 3)*(3*o + 1)**2/7
Let p be (-126)/(-9) - 0/(-2). Factor -p*n**4 + 35*n**4 - 13*n**4 - 4*n**3 - 4*n**5.
-4*n**3*(n - 1)**2
Let p be 20 + (-25 + 31 - 24). Let b(l) be the first derivative of -3/2*l**p + 3/2*l**4 + 0*l - 4 - l**3. Let b(i) = 0. What is i?
-1/2, 0, 1
What is o in -1136/11*o**2 + 58/11*o**4 - 116/11*o**3 + 3328/11 - 2/11*o**5 + 2368/11*o = 0?
-4, -1, 4, 26
Let i be 7 + (-11)/(2970/4041) - -8. Let k(s) be the first derivative of i*s**6 + 0*s**5 + 0*s**2 - 3/20*s**4 - 36 + 0*s - 2/15*s**3. Factor k(x).
x**2*(x - 2)*(x + 1)**2/5
Let t(i) be the first derivative of i**4/4 - 440*i**3/3 - 441*i**2/2 - 356. Determine b so that t(b) = 0.
-1, 0, 441
Let x be (5/180*3)/(4 - (-2)/(-1)). Let t(i) be the second derivative of 24*i - 3/4*i**2 - x*i**4 + 0 + 1/3*i**3. Solve t(h) = 0 for h.
1, 3
Solve -13 - 17/4*y**2 + 14*y + 1/4*y**3 = 0.
2, 13
Let f(t) be the third derivative of -t**7/1890 + t**6/54 + t**5/180 - 29*t**4/108 - 20*t**3/27 + 4*t**2 + 127. Factor f(v).
-(v - 20)*(v - 2)*(v + 1)**2/9
Let t(i) be the first derivative of -16/5*i**2 - 11 - 2/15*i**3 - 56/5*i. Factor t(n).
-2*(n + 2)*(n + 14)/5
Determine n, given that -7838*n**4 + 9*n**3 + 26*n**3 + 61*n**2 - 15*n - 20*n**3 + 7839*n**4 - 350 = 0.
-7, -5, 2
Let k(x) = 125*x**2 - 203*x - 390. Let g(n) = 21*n**2 - n. Let f(j) = 6*g(j) - k(j). Let f(b) = 0. What is b?
-195, -2
Determine o so that 0 + 516/7*o + 3/7*o**2 = 0.
-172, 0
Let c(d) be the second derivative of -9*d**5/100 + 112*d**4/5 - 3315*d**3/2 - 3375*d**2 - 2*d - 2062. Factor c(k).
-3*(k - 75)**2*(3*k + 2)/5
Let o(u) = 14997*u - 179962. Let q be o(12). Factor -8/3*b + 0 + 14/3*b**q.
2*b*(7*b - 4)/3
Let s be (170/51)/(-2 - 41/(-18)). Let z(m) be the first derivative of -1/30*m**5 - 5/6*m**3 - s + 0*m + 7/24*m**4 + 3/4*m**2. What is b in z(b) = 0?
0, 1, 3
Let w(l) be the second derivative of -5*l**4/36 + 2357*l**3/18 - 157*l**2 + 5*l + 373. Factor w(n).
-(n - 471)*(5*n - 2)/3
Let b(q) = -q**3 - 3*q - 1. Let d(k) = 7*k**3 - 108*k**2 - 216*k + 4. Let x(o) = 4*b(o) + d(o). Suppose x(j) = 0. What is j?
-2, 0, 38
Suppose -3 = -5*l + 4*t, -5*l = -89*t + 84*t. Let c(j) be the first derivative of 17 - j**2 - j - 1/3*j**l. Find k such that c(k) = 0.
-1
Let y be ((-2)/(-4))/(1/6). Suppose -5*o = 5*r - 4*r + 20, -r = -2*o - 15. Factor 4*h**y + 547*h**r - 549*h**5 + 2*h**3 + 4*h**2.
-2*h**2*(h - 2)*(h + 1)**2
Solve 172/17*c**3 - 10*c - 304/17*c**2 + 308/17 - 2/17*c**5 - 4/17*c**4 = 0 for c.
-11, -1, 1, 2, 7
Let y(z) be the third derivative of z**6/30 + 2*z**5/15 - 5*z**4/2 + 580*z**2 - z. Let y(g) = 0. What is g?
-5, 0, 3
Let m = -222 - -223. Let y be m*(3 - 1) + 0/(-10). Factor -8/7 + 4/7*k**3 - 16/7*k**y + 20/7*k.
4*(k - 2)*(k - 1)**2/7
Let u(d) = 6*d**2 + 36*d - 6. Let s(m) = 2*m**2 - 3*m - 3. Let y(z) = 2*s(z) - u(z). Factor y(o).
-2*o*(o + 21)
Let x(z) be the second derivative of 11/240*z**6 + 2 - 1/8*z**3 - 13*z + 0*z**2 - 1/168*z**7 - 11/80*z**5 + 19/96*z**4. Solve x(g) = 0.
0, 1, 3/2, 2
Let p(c) be the third derivative of c**7/210 - c**6/120 - c**5/6 - c**4/3 - 565*c**2. Solve p(u) = 0 for u.
-2, -1, 0, 4
Let g(t) = t**2 + 2. Suppose -2*k = -2*r, -2 = -k + 2*k. Let p be g(r). Find a such that -3346 + p*a + 2*a**2 + 3346 = 0.
-3, 0
Let t(x) be the first derivative of -x**4/6 + 2*x**3/9 + 26*x**2/3 + 16*x + 830. Find k such that t(k) = 0.
-4, -1, 6
Factor 570240/13*w + 5000/13*w**3 - 1672704/13 - 76320/13*w**2 + 2/13*w**5 - 160/13*w**4.
2*(w - 22)**2*(w - 12)**3/13
Suppose 13*b + 676 = -22*b + 746. Let h(f) be the second derivative of 0 - 5/3*f**3 + f + 5/2*f**b + 5/12*f**4. Find v such that h(v) = 0.
1
Let t(x) be the third derivative of 0*x - 154 - 23/66*x**4 - x**2 + 16/11*x**3 - 1/660*x**6 + 13/330*x**5. Suppose t(r) = 0. What is r?
2, 3, 8
Suppose 69*g = -27*g + 2880. Let w(b) be the first derivative of g*b - 6 - 35/2*b**2 + 5/3*b**3. Solve w(h) = 0.
1, 6
Let o be (8 - 0) + 1995/(-250). Let m(v) be the second derivative of 0*v**2 - 1/60*v**4 + 0*v**3 + 0 + o*v**6 + 1/50*v**5 - 16*v. Suppose m(z) = 0. What is z?
-1, 0, 1/3
Let d(k) = -29*k + 49. Let w be d(-4). Solve 162*m**2 + 4 + 5*m - 326*m**2 + w*m**2 = 0.
-4, -1
Let u(b) be the second derivative of -b**8/1176 + 2*b**7/245 - 3*b**6/140 - 21*b**2/2 - 42*b. Let i(n) be the first derivative of u(n). Factor i(p).
-2*p**3*(p - 3)**2/7
Let s = 675 - 671. Suppose -38*v**4 + v**s + 40*v**4 + 12*v**2 + 15*v**3 = 0. What is v?
-4, -1, 0
Factor -3468824*q + 645 + 3468972*q + 4*q**2 + 499.
4*(q + 11)*(q + 26)
Let b be (12/(-42))/(6/42). Let p be 338/91 + 1 + -2 + b. Factor -1/7*l**3 - 4/7 - p*l**2 - 8/7*l.
-(l + 1)*(l + 2)**2/7
Let k(u) be the third derivative of u**6/8 + 67*u**5/12 + 955*u**4/12 + 100*u**3 - 32*u**2 - 20*u. Suppose k(p) = 0. What is p?
-12, -10, -1/3
Let w(d) be the first derivative of d**6/24 - 53*d**5/40 + 205*d**4/16 - 32*d**3 + 18*d**2 - 349. Solve w(k) = 0 for k.
0, 1/2, 2, 12
Let k(f) be the third derivative of -f**7/1470 - f**6/315 + f**5/210 + f**4/21 + 37*f**3/3 + 89*f**2. Let w(o) be the first derivative of k(o). Factor w(h).
-4*(h - 1)*(h + 1)*(h + 2)/7
Let p(d) = 4*d + 2. Let l(y) = -148*y**2 + 176*y - 4. Let s(x) = l(x) - 4*p(x). Determine v so that s(v) = 0.
3/37, 1
Suppose 0 = -3*a + 9, -13*s = -8*s - 4*a + 752. Let c be s/(-8) + -8 + -7. Factor -c*i**3 - 29/2*i - 3 - 15*i**2.
-(i + 1)*(i + 3)*(7*i + 2)/2
Let j(z) be the first derivative of z**5/100 + 3*z**4/40 - 2*z**3/5 + 9*z**2/2 + 5*z - 22. Let t(n) be the second derivative of j(n). Find w such that t(w) = 0.
-4, 1
Let n(u) = -u**3 - 3170*u + 0 - 1 + 3168*u. Let j(r) = 16*r**3 - 116*r**2 + 40*r + 20. Let k(q) = j(q) + 20*n(q). Factor k(i).
-4*i**2*(i + 29)
Let n be ((-6)/(-3))/((-11)/(-22)). Find f, given that 12 - 38*f - 8*f**3 - 946*f**n + 23*f**2 + 947*f**4 + 10*f = 0.
1, 2, 3
Let -2*t**4 - 118 + 120*t**2 - 80206*t + 80090*t + 98*t**3 + 18*t**3 = 0. Calculate t.
-1, 1, 59
Let f(w) = 2*w + 75. Let a be f(-24). Let d be (34/(-153))/((-15)/a). Suppose -2 - 12/5*c - d*c**2 = 0. What is c?
-5, -1
Let c(m) = 1264*m + 97344. Let a(f) = f**2 - 4*f. Let v(n) = -4*a(n) - c(n). Factor v(w).
-4*(w + 156)**2
Let q = 268 - 264. Let m be (-2)/15*(-9 + (-9)/(-2)). Determine n so that 0 + m*n**q - 3/5*n**2 - 3/5*n + 3/5*n**3 = 0.
-1, 0, 1
Let w(h) be the first derivative of h**5/10 - 11*h**4/48 - h**3/12 + 65*h**2 + 89. Let g(f) be the second derivative of w(f). Factor g(d).
(d - 1)*(12*d + 1)/2
Suppose -3*o + 63 = -2*u - 21, -5*o + 141 = -3*u. Let l be (-5)/(-3) - 3/(-9). Find g such that o*g - 6 + 25*g**l - 5*g**3 + 7 - 1 = 0.
-1, 0, 6
Suppose 36 - 16 = -5*n. Let j(r) = r**3 - 2*r**2 + 2*r - 2. Let c(g) = -6*g**2 - 4*g**3 + 7*g + 7*g**3 - 2 - 5. Let q(a) = n*c(a) + 14*j(a). Factor q(f).
2*f**2*(f - 2)
Let w(f) be the third derivative of -f**7/504 - 19*f**6/360 + 2*f**5/15 - 67*f**4/24 - 5*f**2. Let t(d) be the second derivative of w(d). Factor t(j).
-(j + 8)*(5*j - 2)
Factor -5202 - 1599*i**2 + 2468*i + 1390*i**4 + 5007*i - 794*i - 1393*i**4 + 123*i**3.
-3*(i - 17)**2*(i - 6)*(i - 1)
Let i(y) be the third derivative of 19 + 0*y + 0*y**5 + 2/3*y**3 - 3*y**2 + 1/60*y**6 - 1/4*y**4. Factor i(b).
2*(b - 1)**2*(b + 2)
Let d(u) = -614*u - 79204. Let w be d(-129). Find n, given that 0 - 2/11*n**w - 4*n = 0.
-22, 0
Factor 0 - 5/3*h**4 + 40/3*h - 19/3*h**3 + 38/3*h**2.
-h*(h - 2)*(h + 5)*(5*h + 4)/3
Find m, given that -9448/5*m + 4192/5 + 2*m**3 - 2584/5*m**2 = 0.
-4, 2/5, 262
Let p = 79 - 74. Find b, given that 675 - 341 - 339 + p*b**2 = 0.
-1, 1
Let b be 8/((-320)/(-1100)) - 26. Factor 3*y**2 - 15/2*y**3 - b*y**5 + 6*y**4 + 0 + 0*y.
-3*y**2*(y - 2)*(y - 1)**2/2
Let i = -34/3535 - -1448/3535. Factor 1/5*h**3 - 4/5*h - 8/5 + i*h**2.
(h - 2)*(h + 2)**2/5
Let b(j) be the first derivative of 2*j**6/3 + 8*j**5 - 27*j**4 - 128*j**3/3 + 104*j**2 + 192*j + 961. Let b(d) = 0. What is d?
-12, -1, 2
Let b(h) be the third derivative of -h**6/60 - h**5/6 + 73*h**4/12 + 77*h**3/3 + 2*h**2 - h - 709. Suppose b(z) = 0. What is z?
-11, -1, 7
Let h be 143264/80 - (-9 + 5). Let g = 1796 - h. Let -g*a**2 - 3/5*a + 3/5*a**3 + 6/5 = 0. Calculate a.
-1, 1, 2
Let t(u) be the first derivative of 2*u**5/25 - 61*u**4/10 + 256*u**3/5 - 32