8 - 7*g**5/60 - 125*g**4/12 + 264*g. Let z(w) be the third derivative of c(w). Factor z(i).
-2*(i + 3)*(i + 7)/3
Factor -23*x**5 - 1754*x**4 + 168*x**4 - 1575*x**2 + 21*x**4 + 18*x**5 + 3145*x**3.
-5*x**2*(x - 1)**2*(x + 315)
Factor 0 + i**4 - i**2 + 1/4*i**5 - 3/2*i**3 + 5/4*i.
i*(i - 1)**2*(i + 1)*(i + 5)/4
Let k(c) be the third derivative of 2*c**7/105 - 14*c**6/5 + 1588*c**5/15 + 1232*c**4 + 15488*c**3/3 + 7*c**2 + 3*c. What is z in k(z) = 0?
-2, 44
Let g(j) be the third derivative of 0 + 19/100*j**5 + 7/200*j**6 - j**2 - 3/20*j**4 + 49*j + 0*j**3. Determine v so that g(v) = 0.
-3, 0, 2/7
Let b = -389416/5 + 77888. Factor 4*l**3 + b*l + 0 - 52/5*l**2.
4*l*(l - 2)*(5*l - 3)/5
Let z = -18214 - -72877/4. Factor z*s**2 - 4*s - 9/4*s**3 + 1.
-(s - 1)*(3*s - 2)**2/4
Suppose 2*z - 3*u = -4*u + 121, 5*z = 2*u + 289. What is r in 66*r**4 + 10*r**2 - r**2 - z*r**3 + 15*r**2 + 8*r**5 + 171*r**3 = 0?
-6, -2, -1/4, 0
Let l(q) = -12*q**3 - 11*q**2 - 52*q + 33. Let x(h) = -10*h**3 - 10*h**2 - 50*h + 34. Let g(b) = 6*l(b) - 7*x(b). Let g(i) = 0. Calculate i.
-4, 1, 5
Factor -4546*o + 887*o**2 - 5*o**3 - 722*o**2 + 3396*o.
-5*o*(o - 23)*(o - 10)
Let b be (-2)/(-7) - 225/(-21). Suppose b*w - 4*w = 217. Factor -w*c**2 - 37*c**2 + 5*c**3 + 53*c**2.
5*c**2*(c - 3)
Let p(u) be the first derivative of -u**5/420 - 8*u**4/21 - 512*u**3/21 - 2*u**2 - 6*u - 70. Let l(y) be the second derivative of p(y). Factor l(d).
-(d + 32)**2/7
Let p(s) be the third derivative of -s**5/150 - 17*s**4/20 - 46*s**3/3 - 2026*s**2. Determine k so that p(k) = 0.
-46, -5
Let j(n) be the first derivative of 0*n**2 + 24 + 1/20*n**5 + 1/3*n**3 - 1/4*n**4 - 23*n. Let l(w) be the first derivative of j(w). Find z such that l(z) = 0.
0, 1, 2
Let q = 618761/9 - 68751. Find f such that -q*f**2 - 10/3*f + 0 = 0.
-15, 0
Suppose 5*w - 2 = 3*k, -5*k + 1 = 3*w - 7. Let j(a) = 9*a - 4. Let f be j(k). Let 3*y**f + 4*y**2 - 2*y**3 + 2*y**2 - 2*y**2 - 4*y**4 - y**5 = 0. Calculate y.
-1, 0, 1, 2
Factor 19*t**3 - 52*t**3 + 16878872*t + 15*t**3 + 16668136*t + 22*t**3 + 20064*t**2 + 18696865792.
4*(t + 1672)**3
Suppose 20*w - 838 + 798 = 0. Factor -3*p - 3/5*p**3 - 12/5*p**w - 6/5.
-3*(p + 1)**2*(p + 2)/5
Suppose 329 - 13 = 79*n. Suppose -2*y - 14 = -4*t, 4*y + 2*t = 2*y + 16. Suppose -33*c**2 + 9*c + 7*c - 4*c**n + 49*c**2 - 4*c**y = 0. Calculate c.
-2, -1, 0, 2
Factor 4/9*l**2 + 4 + 40/9*l.
4*(l + 1)*(l + 9)/9
Let a be ((-2635)/(-340) + -10)/((-2)/6). Factor a*h**3 + 3/4*h**4 + 0 + 81/4*h**2 + 81/4*h.
3*h*(h + 3)**3/4
Factor 137*r**2 - 265*r**2 + 51 + 59*r**2 - 3129 - r**4 + 1440*r - 41*r**3 + 189*r.
-(r - 3)**2*(r + 9)*(r + 38)
Let t = -1/24959 + 49925/174713. Let -2/7*q**3 - t*q + 0 - 4/7*q**2 = 0. Calculate q.
-1, 0
Let v(b) be the first derivative of -36/5*b - 47/15*b**3 - 7/20*b**4 + 14*b**2 - 103. Suppose v(l) = 0. What is l?
-9, 2/7, 2
Let d(c) = -c**2 - 4*c - 1. Let v(y) = -4*y**2 - 133*y - 241. Let j(g) = -15*d(g) + 5*v(g). Find x, given that j(x) = 0.
-119, -2
Suppose 8*l = 15*l - 217. Suppose -2*c**3 + 14*c**3 - 6*c**2 + 424*c - 824*c - 128 - 7*c**2 - l*c**2 = 0. Calculate c.
-4, -1/3, 8
Let x(a) be the second derivative of a**6/6 - 465*a**5/4 + 135715*a**4/6 - 44080*a**3 - 269120*a**2 + 2*a - 820. Let x(y) = 0. What is y?
-1, 2, 232
Factor 0*u**3 + 23 + 100*u**2 - 215 + 88*u + u**3 + 3*u**3.
4*(u - 1)*(u + 2)*(u + 24)
Let p(y) be the second derivative of y**5/20 - 2*y**3/3 + 172*y - 4. Factor p(m).
m*(m - 2)*(m + 2)
Let n be (5280/154 - 34)*7. Find w, given that 4*w**2 + n*w**4 + 0 + 4/3*w + 1/3*w**5 + 13/3*w**3 = 0.
-2, -1, 0
Let j = -33/12514 - -15659/6257. Factor 45/2 + 25*i + j*i**2.
5*(i + 1)*(i + 9)/2
Let l be 5 + (-15)/(-2)*(23 + -19). Factor -x - 34 - 2*x**3 + 3*x**3 + l - x**2.
(x - 1)**2*(x + 1)
Let a = 59068/525 + 144/175. Let q be (-4*(-100)/32)/(411/1096). Suppose -424/3*c**2 - q + a*c + 4/3*c**5 - 52/3*c**4 + 232/3*c**3 = 0. What is c?
1, 5
Let j(r) be the third derivative of -86*r**2 + 0*r + 0*r**3 + 0 - 1/150*r**5 - 1/60*r**4. Let j(p) = 0. Calculate p.
-1, 0
What is k in 14/5*k**2 - 2/5*k**3 + 0*k - 72/5 = 0?
-2, 3, 6
Let h be ((-2)/3)/((-26)/(-1131)). Let d = h + 34. Let 2*q**3 + 8*q + 5*q**4 - 5*q**5 + 2*q + 13*q**3 + 0*q**d - 25*q**2 = 0. What is q?
-2, 0, 1
Factor -4*s**3 + 1283904 - 612937 + 68*s**2 - 612011 + 5780*s.
-4*(s - 51)*(s + 17)**2
Let t(f) be the second derivative of f**8/1680 + f**7/126 - f**6/30 - 7*f**4 + 49*f. Let g(h) be the third derivative of t(h). Suppose g(i) = 0. Calculate i.
-6, 0, 1
Let m(i) be the second derivative of i**6/90 - 19*i**5/60 + 5*i**4/2 - 82*i**3/9 + 52*i**2/3 - 1252*i. Let m(g) = 0. What is g?
2, 13
Let g = -33447 - -100343/3. Suppose 10/9*y**3 - g*y**2 + 0 - 2*y - 2/9*y**4 = 0. Calculate y.
-1, 0, 3
Suppose -l - 310 - 85 = 2*q, 375 = -2*q + 3*l. Let g = q + 1563/8. Solve -1/2 - g*u + 1/8*u**2 = 0.
-1, 4
Let s(u) be the second derivative of -u**4/90 - 58*u**3/45 + 486*u - 1. Factor s(d).
-2*d*(d + 58)/15
Let a(s) be the third derivative of s**8/504 + s**7/63 + 2*s**6/45 + 2*s**5/45 - 5*s**2 + s. Factor a(t).
2*t**2*(t + 1)*(t + 2)**2/3
Let i = -757 + 780. Let p = i - 23. Factor 1/6*j + p - 1/6*j**2.
-j*(j - 1)/6
Let m = 255 + -227. Determine p, given that m - 26 + 45*p**2 - 86*p**4 + 49*p**3 + 39*p**4 - 49*p = 0.
-1, 2/47, 1
Let a(b) be the second derivative of -2209*b**7/25200 + 47*b**6/1800 - b**5/300 + b**4/2 - b**2/2 - 41*b. Let m(w) be the third derivative of a(w). Factor m(d).
-(47*d - 2)**2/10
Let r(l) be the third derivative of l**6/260 - 43*l**5/30 + 8711*l**4/52 - 2883*l**3/13 + 2371*l**2. Factor r(a).
2*(a - 93)**2*(3*a - 1)/13
Let d(y) be the first derivative of 54*y**3/7 - 180*y**2/7 + 200*y/7 - 66. Factor d(a).
2*(9*a - 10)**2/7
Let a(j) be the first derivative of -3*j**5/160 - j**4/32 + 3*j**3/8 - 56*j + 64. Let s(b) be the first derivative of a(b). Factor s(i).
-3*i*(i - 2)*(i + 3)/8
Let o be 0*(-1)/(16 + 216/(-12)). Factor 9/2*l**3 + o + 10*l**2 + 0*l + 1/2*l**4.
l**2*(l + 4)*(l + 5)/2
Let n(a) = 225*a + 905. Let t be n(-4). Let j(y) be the first derivative of 0*y - 4*y**t + 2*y**6 + 7/3*y**4 - 4/9*y**3 + 0*y**2 + 30. Factor j(k).
4*k**2*(k - 1)*(3*k - 1)**2/3
Let x be -3 - ((-51 - -57) + 35/(-3)). What is j in 2/3*j**2 - 16/3*j - 10/3*j**4 + 2/3*j**5 + 14/3*j**3 + x = 0?
-1, 1, 2
Let y(b) be the first derivative of -3*b**4/4 + 39*b**3 - 309*b**2 + 792*b + 4338. Determine f so that y(f) = 0.
2, 4, 33
Let t(v) be the third derivative of 2*v**5/5 + 37*v**4/6 + 40*v**3/3 - v**2 - 1. Let n(m) = -8*m**2 - 49*m - 27. Let a(y) = 8*n(y) + 3*t(y). Factor a(b).
4*(b + 6)*(2*b + 1)
Suppose -3 = -3*s, 0 = 2*g - 4*s - 70 + 66. Let c(b) be the third derivative of 1/30*b**5 + 0 + 0*b - 7/36*b**g - 2/3*b**3 + 24*b**2. Factor c(x).
2*(x - 3)*(3*x + 2)/3
Let i(t) be the second derivative of t**6/60 + 11*t**2 - 108*t. Let c(y) be the first derivative of i(y). Solve c(q) = 0 for q.
0
Determine n so that 10*n**3 + 8 - 69*n**2 + 64*n + 23*n**2 + n**2 - 32 - n**2 = 0.
3/5, 2
Suppose -4*j = -3*j + 15. Let s = j + 28. Find c, given that -20*c**2 + 117*c**3 - 122*c**3 - 7*c - s*c = 0.
-2, 0
Let k(z) be the second derivative of -z**6/120 - 9*z**5/40 - 2*z**4/3 - 188*z + 7. Factor k(i).
-i**2*(i + 2)*(i + 16)/4
Let q(o) = o**2 + o - 2. Let u be q(0). Let f be 2/(0 + u + 3). Suppose -11*p**2 - 32 + f*p**2 - 8*p + 8*p**2 + 5*p**2 = 0. Calculate p.
-2, 4
Let t = 363332/33 + -11010. Let f(s) be the second derivative of -t*s**3 + 0 - 47*s - 1/66*s**4 - 1/11*s**2. Factor f(k).
-2*(k + 1)**2/11
Let p(l) be the first derivative of -38/3*l**3 - 23 + 0*l - 1/72*l**6 - 1/3*l**5 + 0*l**2 + 0*l**4. Let j(a) be the third derivative of p(a). Solve j(r) = 0.
-8, 0
Suppose 181*m + 96*m = 442 + 666. Let a(x) be the first derivative of 0*x + 9 + 4/3*x**3 - m*x**2. Suppose a(l) = 0. What is l?
0, 2
Suppose -17 = 3*g + 1. Let x = 8 + g. Suppose 15*i**x - 10*i**3 - 3 + 33*i - 7 - 18*i = 0. Calculate i.
-1, 1/2, 2
Let k(g) be the third derivative of -g**6/540 - 92*g**5/27 - 919*g**4/108 + 74*g**2 + 3*g - 1. Find x, given that k(x) = 0.
-919, -1, 0
Let a(y) be the third derivative of -y**8/70560 - y**7/2205 - 2*y**6/315 + 13*y**5/12 + y**2 + 30*y. Let j(s) be the third derivative of a(s). Solve j(n) = 0.
-4
Let k = 420936/5 - 84187. Factor k*m**2 + 6/5*m + 1.
(m + 