cond derivative of -u**4/6 + 43*u**3/3 + 188*u**2 - 9374*u. Factor v(j).
-2*(j - 47)*(j + 4)
Let i(k) be the third derivative of 27*k**8/896 - 219*k**7/280 + 439*k**6/160 - 67*k**5/20 + 55*k**4/64 + 7*k**3/8 + 106*k**2 - 1. Solve i(t) = 0 for t.
-1/9, 1/3, 1, 14
Let k be 4/(-6)*48/64*-4. Suppose 3*m**2 + 54*m**3 - 36 - m**2 - 23*m**k + 56*m - 53*m**3 = 0. Calculate m.
1, 2, 18
Let h = 758131/3 + -252710. Determine b, given that -h*b**2 + 0 + 4/3*b**3 - 1/3*b**4 - 2*b = 0.
-1, 0, 2, 3
Let c(p) = -p**2 - 605*p - 2403. Let i be c(-4). Factor 1/4*w**3 - 1/4*w - i + w**2.
(w - 1)*(w + 1)*(w + 4)/4
Let h(c) be the second derivative of -c**7/42 + 17*c**6/15 - 43*c**5/5 - 482*c**4/3 - 2240*c**3/3 - 1600*c**2 + 733*c. Suppose h(y) = 0. What is y?
-2, 20
Determine g, given that 1340 - 395*g - 244181*g**2 - 950*g + 244186*g**2 = 0.
1, 268
Let g(m) be the first derivative of -m**3/18 - 7*m**2/4 - 1926. Determine z, given that g(z) = 0.
-21, 0
Let r(d) be the second derivative of 2*d**6/15 + 12*d**5/5 - 18*d**4 - 280*d**3/3 - 150*d**2 + 1134*d - 2. Find z such that r(z) = 0.
-15, -1, 5
Let h be (3/(-18))/(80/(-2400)). Let r(b) be the second derivative of 0*b**3 - 1/105*b**6 - 25*b + 0 - 6/7*b**4 + 6/35*b**h + 0*b**2. Factor r(i).
-2*i**2*(i - 6)**2/7
Let o(m) be the second derivative of -m**6/6 - 2*m**5 - 10*m**4/3 + 80*m**3/3 + 120*m**2 - 59*m + 9. Factor o(r).
-5*(r - 2)*(r + 2)**2*(r + 6)
Let a(h) be the third derivative of h**7/630 + 107*h**6/180 - 43*h**5/36 + 19*h**2 - 9*h + 7. Let a(k) = 0. Calculate k.
-215, 0, 1
Factor 6856*s**2 - 455*s + 2739*s + 2890*s**5 + 6864*s**3 - 2886*s**5 + 2296*s**4.
4*s*(s + 1)**3*(s + 571)
Let f(n) be the first derivative of -n**3/6 - 7*n**2/2 - 24*n - 129. Factor f(j).
-(j + 6)*(j + 8)/2
Let i be (36*28/(-3584))/((-3)/(-4)*-1). Solve -9/2*j - 75/8*j**2 + 0 - i*j**4 - 21/4*j**3 = 0 for j.
-12, -1, 0
Let y(c) be the first derivative of -4*c**5/5 - c**4 + 8*c**3/3 + 3168. Factor y(q).
-4*q**2*(q - 1)*(q + 2)
Let g be (88*(-2)/(-64) - (-3 - (-4 - 1)))*4. Solve 0 + 40/13*s**2 + 2/13*s**g - 42/13*s = 0 for s.
-21, 0, 1
Let h(t) be the third derivative of 5*t**8/336 - 5*t**7/6 + 4*t**6 - 815*t**2. What is y in h(y) = 0?
0, 3, 32
Let f be (-10919)/(-78) - (1 - 3/2). Let a = f + -421/3. Factor -a*t**2 + 2/13*t**3 + 2/13 - 2/13*t.
2*(t - 1)**2*(t + 1)/13
Let j be 3/((-504)/32)*13/(156/(-18)). Suppose -3/7*i - 1/7*i**5 + 4/7*i**3 + 0 - j*i**4 + 2/7*i**2 = 0. What is i?
-3, -1, 0, 1
Let r(f) be the first derivative of -5*f**4/4 - 905*f**3/3 - 42275*f**2/2 - 118815*f + 2376. Factor r(z).
-5*(z + 3)*(z + 89)**2
Let q(z) be the first derivative of 9*z**4/16 - 61*z**3/2 + 241*z**2/8 - 10*z - 4818. Factor q(k).
(k - 40)*(3*k - 1)**2/4
Let 24/7*a + 8/7*a**3 + 9/7 + 1/7*a**4 + 22/7*a**2 = 0. Calculate a.
-3, -1
Let a be (70/2450)/((-6)/(-7)). Let d(t) be the first derivative of -20 + 0*t**2 - 3/20*t**4 + 0*t - 2/15*t**3 + a*t**6 + 0*t**5. Factor d(o).
o**2*(o - 2)*(o + 1)**2/5
Let u(a) be the third derivative of -a**7/105 - 121*a**6/36 - 3007*a**5/270 - 467*a**4/36 - 200*a**3/27 - 4*a**2 - 555. Determine j, given that u(j) = 0.
-200, -1, -1/3
Let o = -11491108/9 - -1276790. Find z such that -5830/9*z + 5618/9 - o*z**3 + 214/9*z**2 = 0.
1, 53
Let s(h) be the third derivative of -h**8/53760 - h**7/1120 + h**5/60 - 5*h**3/6 - h**2 - 7. Let d(n) be the third derivative of s(n). Factor d(u).
-3*u*(u + 12)/8
Let t be (7/(-14))/(4/(-32)). Let s(r) = -r**3 + 11*r**2 - 6*r + 4. Let q(f) = 2*f**3 - 12*f**2 + 7*f - 3. Let c(g) = t*q(g) + 3*s(g). What is o in c(o) = 0?
0, 1, 2
Let a(t) be the second derivative of 124*t + 21/2*t**2 + 1/4*t**4 + 11/4*t**3 + 0. Find p, given that a(p) = 0.
-7/2, -2
Let a(w) be the first derivative of w**6/24 - 5*w**5/12 - 5*w**4/4 + 225*w**2/2 - 9. Let l(f) be the second derivative of a(f). Find z such that l(z) = 0.
-1, 0, 6
Let a(r) be the third derivative of r**5/30 - 113*r**4/12 + 112*r**3/3 - 6642*r**2 + 2*r. What is g in a(g) = 0?
1, 112
Solve 1075*m + 1884206 + 1470*m**2 + 540*m**3 - 352*m + 25*m**4 - 1883741 + 697*m = 0 for m.
-93/5, -1
Let w(c) = -c**2 + 67*c - 1939. Let k(n) = 7*n + 1. Let r(m) = 3*k(m) + w(m). Factor r(s).
-(s - 44)**2
Suppose -p - s + 2 = 0, 2*p - 1559 + 1549 = -5*s. Factor p - 2/11*x**2 + 20/11*x.
-2*x*(x - 10)/11
Suppose 5*x + n = 82, -5*n - 18 - 4 = -2*x. Let a(z) = -z - 3. Let q be a(-5). Factor -9 + j - 4*j + 15*j**q - 3*j - x*j**2.
-(j + 3)**2
Let u(q) be the second derivative of -q**5/10 + 11*q**4/3 + 25*q**3 - 5413*q. Let u(z) = 0. What is z?
-3, 0, 25
Let g(a) be the second derivative of -a**7/336 - 7*a**6/40 - 99*a**5/40 + 121*a**4/12 + 5*a + 23. Factor g(w).
-w**2*(w - 2)*(w + 22)**2/8
Let s be 10*2*(-85 + 86). Find o, given that s + 8 - 326*o + 448*o - 18*o**2 = 0.
-2/9, 7
Let a(b) be the second derivative of 2*b**7/21 + 2*b**6/3 - 3*b**5/5 - 13*b**4/3 + 20*b**3/3 + 1186*b. Factor a(d).
4*d*(d - 1)**2*(d + 2)*(d + 5)
Let z(m) be the third derivative of m**7/5040 - m**6/180 + 7*m**5/144 - m**4/6 + 28*m**3/3 - 8*m**2. Let h(o) be the first derivative of z(o). Factor h(j).
(j - 8)*(j - 3)*(j - 1)/6
Let c = 574 + -572. Let n be (-5)/45*-6 + 0. Let -8/3 + n*h**c - 2*h = 0. Calculate h.
-1, 4
Let v(k) be the third derivative of 0*k + 1352/3*k**3 + 5 + 4*k**2 + 1/60*k**5 - 13/3*k**4. Suppose v(y) = 0. Calculate y.
52
Factor 125192 - 5803*c - 983697 - 309*c - 4*c**2 + 491562 - 1967841.
-4*(c + 764)**2
Let x(i) = -24*i**3 + 16*i**2 + 44*i - 22. Let t(r) = -r**3 + 2*r**2 + 2*r - 1. Let l(n) = 44*t(n) - 2*x(n). Solve l(h) = 0 for h.
-14, 0
Let c(l) be the first derivative of 79507*l**6/48 - 42527*l**5/10 + 1419*l**4/2 - 130*l**3/3 + l**2 - 1776. Suppose c(f) = 0. What is f?
0, 2/43, 2
Suppose 0 = -5*z - 3*a + 4*a - 1350, -5*z - 2*a = 1365. Let x = -2971/11 - z. What is q in 8/11*q**2 - 2/11*q**3 + 4/11 - x*q = 0?
1, 2
Let o be (-830)/(-23)*(-8)/1430. Let j = -6/299 - o. Determine u so that -j*u**4 + 0 - 2/11*u**3 + 2/11*u**2 + 2/11*u = 0.
-1, 0, 1
Let q be 80/13 - 36/234. Let n be q/(-36)*4*-6. Factor 28/5*t**2 + 4/5*t**3 + 44/5*t + n.
4*(t + 1)**2*(t + 5)/5
Let v = 50 - 46. Suppose -5*g - 98 = -4*c, 100 = 4*c - 0*c - v*g. Factor 17*b**4 - c*b**4 + 5*b + 45*b**3 + 15*b - 60*b**2.
-5*b*(b - 2)**2*(2*b - 1)
Factor 548*p + 380*p**2 - 729*p**4 - 40 - 1954*p**2 + 4131*p**3 - 964*p**2.
-(p - 5)*(9*p - 2)**3
Suppose 0 = 13*l + 319 - 267. Let s be (l + 1)/(18*3/(-24)). Let 8/3 - s*p - 4/3*p**2 = 0. What is p?
-2, 1
Let o = 2305 - 2301. Let c(z) be the first derivative of 1/3*z**2 + 7 + 1/15*z**5 + 0*z - 1/9*z**3 - 1/6*z**o. Factor c(q).
q*(q - 2)*(q - 1)*(q + 1)/3
Factor 65/8 + 1/8*d**2 - 9/4*d.
(d - 13)*(d - 5)/8
Let v(y) be the second derivative of 1/180*y**6 + 512/9*y**3 + 16/3*y**4 + 20 + y + 4/15*y**5 + 1024/3*y**2. Factor v(n).
(n + 8)**4/6
Let b(f) be the second derivative of -f**4/21 + 34*f**3/21 + 48*f**2 + 672*f. Factor b(u).
-4*(u - 24)*(u + 7)/7
Let x(w) be the third derivative of -w**8/588 + 38*w**7/735 + w**6/105 - 38*w**5/105 - w**4/42 + 38*w**3/21 + 3*w**2 - 582*w. Suppose x(h) = 0. What is h?
-1, 1, 19
Find n, given that 63/2 + 3/8*n**3 + 21/8*n**2 - 69/2*n = 0.
-14, 1, 6
Solve -28/9 - 2/3*q**3 - 34/3*q - 56/9*q**2 = 0 for q.
-7, -2, -1/3
Suppose -o + 1 = -5, 1141*o = -q + 1136*o + 34. Find v such that -10 - 2/5*v**2 + q*v = 0.
5
Let r(u) be the second derivative of -u**5/170 - 3*u**4/17 + 43*u**3/51 + 60*u**2/17 - 1000*u + 1. Suppose r(g) = 0. Calculate g.
-20, -1, 3
Let g(b) be the first derivative of -b**5/5 + 3*b**4/2 + 15*b**3 - 25*b**2 - 740. Factor g(k).
-k*(k - 10)*(k - 1)*(k + 5)
Factor -590848*m**2 - 4*m**4 + 0 - 9220/3*m**3 - 196608*m.
-4*m*(m + 384)**2*(3*m + 1)/3
Let r(c) be the second derivative of 3 - 1/12*c**4 - 2*c**3 - 18*c**2 + 4*c. Factor r(v).
-(v + 6)**2
Let y(b) = b**3 + b**2 - b - 44. Let m(d) = -6*d**3 - 72*d**2 + 2955*d - 20172. Let z(f) = -m(f) - 3*y(f). Solve z(l) = 0.
-47, 12
Let i = 11776 - 211967/18. Let u(h) be the first derivative of i*h**4 + 0*h + 9 - 2/27*h**3 - 2/9*h**2. Factor u(b).
2*b*(b - 2)*(b + 1)/9
Let z(s) be the first derivative of -4*s**5/5 + 15*s**4 + 156*s**3 + 370*s**2 + 336*s - 1758. Factor z(b).
-4*(b - 21)*(b + 1)**2*(b + 4)
Let a(v) be the third derivative of -1/12*v**4 - 9*v**2 - 13/120*v**6 + 19/630*v**7 - 8 - 1/336*v**8