derivative of -1/20*x**4 - 12*x + 0 + 8/5*x**3 + c*x**2 - 3/25*x**5. Factor f(h).
-3*(h - 2)*(h + 2)*(4*h + 1)/5
Suppose -7 = -4*y + 1. Factor -8*d**2 - 218 + 206 + 4*d**y + 16*d.
-4*(d - 3)*(d - 1)
Let r(g) be the third derivative of g**6/60 + 31*g**5/5 - g**4/12 - 62*g**3 - 6*g**2 - 164. Factor r(d).
2*(d - 1)*(d + 1)*(d + 186)
Suppose -38 = -7*z - 10. Suppose q - z*p - 51 = p, 5*q + 3*p = 283. Factor 53*o + 3*o**3 + 0 + 18 - q*o - 18*o**2.
3*(o - 6)*(o - 1)*(o + 1)
Let l(a) be the first derivative of -7*a**6/3 - 158*a**5/5 - 281*a**4/2 - 778*a**3/3 - 216*a**2 - 72*a - 854. Let l(t) = 0. Calculate t.
-6, -3, -1, -2/7
Let x be 6*1 + 17/((-136)/32). Suppose -3*n + 2*l + 6 = 0, 4*n + 0*l + x*l - 8 = 0. Suppose 18*p**n + 5*p - 60 - 2*p**2 - 11*p**2 = 0. Calculate p.
-4, 3
Factor -112*x**3 - 41*x**4 + 4441*x**2 + 6445 + x**5 - 1811 + 311*x**3 + 14200*x + 5366.
(x - 25)**2*(x + 1)*(x + 4)**2
Let f(i) be the third derivative of -i**7/105 + i**6/6 - 37*i**5/30 + 5*i**4 - 12*i**3 - 3574*i**2. Factor f(y).
-2*(y - 3)**2*(y - 2)**2
Let a be (-1 - 27/(-15))/((-40)/(-100)). Factor -24*k + 78*k**a + 128 + 2*k**3 - 8*k - 86*k**2.
2*(k - 4)**2*(k + 4)
Suppose 1738*g + 600 = 1858*g. Suppose 28/5*o**g + 56/5*o**3 + 8/5 - 24/5*o + 18*o**4 - 38/5*o**2 = 0. Calculate o.
-2, -1, 2/7, 1/2
Let g(z) be the second derivative of -z**5/100 - 5*z**4/12 - 19*z**3/15 + 92*z**2/5 + 2027*z. Factor g(o).
-(o - 2)*(o + 4)*(o + 23)/5
Let p(w) be the second derivative of -55*w**4/12 - 230*w**3/3 - 475*w**2/2 + 37*w. Let y(j) = 3*j**2 + 27*j + 28. Let q(b) = -2*p(b) - 35*y(b). Solve q(n) = 0.
-1, 6
Let j be -1*(23/(-4) + 66/88). Let t(c) be the third derivative of 0*c**4 + 0 + 1/720*c**6 + 0*c + 10*c**2 + 0*c**j + 0*c**3. Determine x, given that t(x) = 0.
0
Let n(p) be the first derivative of p**6/24 + 3*p**5/5 + 37*p**4/16 + 7*p**3/2 + 2*p**2 - 1157. Solve n(z) = 0.
-8, -2, -1, 0
Let 4/5*k**3 + 456/5*k - 116/5*k**2 + 576/5 = 0. What is k?
-1, 6, 24
Let n be (-15)/(-25)*-1*((-14)/294 - 96/189). Factor 86/3 - n*h**2 - 85/3*h.
-(h - 1)*(h + 86)/3
Let a be (-14)/(5*(-30)/45*3). Solve -2/5*r**3 - a*r**2 - 3/5*r + 0 = 0.
-3, -1/2, 0
Solve 147/2*z**3 - 9990*z + 1428 + 17451*z**2 = 0.
-238, 2/7
Suppose -13*j - 65 = -91. Let r(n) be the third derivative of 0*n + 1/12*n**5 + 25*n**j + 0 - 5/12*n**4 - 20/3*n**3. Factor r(l).
5*(l - 4)*(l + 2)
Let m(o) = -1834*o - 405000. Let q(v) = 2*v**2 - 34*v. Let w(k) = -m(k) + q(k). Factor w(p).
2*(p + 450)**2
Let x(a) = -a**2 - 10*a + 2. Let c be x(-10). Factor -8*p - 1 + 5*p**3 + 3*p - 110*p**2 + 111*p**c.
(p - 1)*(p + 1)*(5*p + 1)
Let f be 663/455*7 - (29 + -21). Find d such that f*d**2 + 1/5*d**3 + 48/5 + 8*d = 0.
-4, -3
Suppose -5*t = -3*b + 50, -5*b = -406 + 306. Factor 18/5 + 4*a**t - 1/5*a**3 - 37/5*a.
-(a - 18)*(a - 1)**2/5
Let n(u) be the second derivative of -45*u**5/2 + 1745*u**4/12 + 115*u**3/3 - 20*u**2 - 22*u + 79. Suppose n(d) = 0. What is d?
-2/9, 1/10, 4
Let m(q) be the third derivative of -q**8/840 - q**7/105 + 2*q**6/75 + 38*q**5/75 + 32*q**4/15 + 64*q**3/15 - 311*q**2 + q + 4. Let m(c) = 0. Calculate c.
-4, -2, -1, 4
Let k = -3 - -7. Let w be k/(-18) - (-392)/630. Factor 0 + 0*i - 2/5*i**4 + 0*i**3 + w*i**2.
-2*i**2*(i - 1)*(i + 1)/5
Let q(w) be the second derivative of w**6/24 - 9*w**5/2 + 140*w**4 + 3920*w**3/3 - 155*w**2/2 - 206*w. Let j(m) be the first derivative of q(m). Factor j(y).
5*(y - 28)**2*(y + 2)
Let y(s) = s**2 - 29*s + 26. Let x(f) = -2*f**2 + 59*f - 52. Suppose 244*z - 10 = 243*z. Let a(d) = z*y(d) + 4*x(d). Let a(c) = 0. What is c?
1, 26
Factor 1/4*f**3 + 3125/4 + 375/4*f - 45/4*f**2.
(f - 25)**2*(f + 5)/4
Let w be ((-6)/(-7))/(360/(-63) - -6). Suppose 4*f + f = -d + 5, 0 = w*d + 5*f - 5. Determine i so that d - 1/8*i**2 + 3/8*i = 0.
0, 3
Suppose 4*q**3 + 33*q**4 + 16*q**2 - 38*q**4 + 59*q**2 - 14*q**3 = 0. What is q?
-5, 0, 3
Let v = -982 + 984. Factor 116 + 48*m + 128 + 124 - 352 + 36*m**v.
4*(3*m + 2)**2
Let a(c) = -c**3 + c**2 + 2*c. Let p(v) = 10*v - v**2 - 12*v + 3*v**3 - 13*v + 3*v**3. Let u(o) = 15*a(o) + 3*p(o). Determine y, given that u(y) = 0.
-5, 0, 1
Suppose -4*b + 42 + 282 = 0. Let n = 86 - b. Suppose 2*d**2 + n*d - 7*d**2 + 7*d - 30 - 47*d = 0. What is d?
-6, -1
Let i(a) be the first derivative of 108 + 16/13*a + 2/39*a**3 - 10/13*a**2 + 1/26*a**4. Factor i(d).
2*(d - 2)*(d - 1)*(d + 4)/13
Let a(u) be the first derivative of -13 - 12100/3*u**3 - 166375/6*u**4 - 16/3*u - 220*u**2. Factor a(j).
-2*(55*j + 2)**3/3
Solve 0 + 6/5*i**3 - 8/5*i - 2/5*i**5 - 4/5*i**4 + 8/5*i**2 = 0.
-2, 0, 1
Suppose -4*u - 3*h + 12273 = 0, 4*u - h + 1133 = 13394. Factor -5*z**2 - 237*z - 579 - u - 33*z.
-5*(z + 27)**2
Suppose 1/5*c**2 + 23*c - 476/5 = 0. Calculate c.
-119, 4
Let u(n) be the first derivative of -32/5*n**5 - 32*n + 64/3*n**3 + 2*n**4 - 11 - 2*n**2 - 2/3*n**6. Find k, given that u(k) = 0.
-8, -1, 1
Let g = 51390 + -51386. Factor 4/7*o**5 + 4/7*o + 0*o**g + 0 - 8/7*o**3 + 0*o**2.
4*o*(o - 1)**2*(o + 1)**2/7
Let -3*t**5 + 130*t**4 - 16*t**4 - 300556*t + 300976*t + 131*t**3 - 446*t**3 - 12*t**2 = 0. What is t?
-1, 0, 2, 35
Let m(t) be the third derivative of -t**9/3024 + t**7/420 - t**5/120 + 29*t**3/6 - 25*t**2. Let o(c) be the first derivative of m(c). Let o(q) = 0. What is q?
-1, 0, 1
Let t(o) be the second derivative of o**5/90 + 37*o**4/54 + 34*o**3/9 + 9400*o. Factor t(z).
2*z*(z + 3)*(z + 34)/9
Determine p, given that -1/3*p**3 + 5/3*p**2 + 14/3*p + 0 = 0.
-2, 0, 7
Let l be (237/(-9))/(1/(-3)). Let y be (l/2607)/((-2)/(-36)). What is n in 0*n - 12/11*n**4 + 18/11*n**3 + 0 + 0*n**2 - y*n**5 = 0?
-3, 0, 1
Let j(z) be the second derivative of -z**5/80 + 1927*z**4/48 - 115921*z**3/3 - 116162*z**2 + z + 447. Find m, given that j(m) = 0.
-1, 964
Let r(h) be the second derivative of -h**4/66 - 136*h**3/3 - 50864*h**2 + 81*h - 3. Let r(d) = 0. Calculate d.
-748
Let q(v) be the first derivative of 20/39*v**3 + 0*v**4 - 2/65*v**5 - 18/13*v + 0*v**2 - 26. Determine k, given that q(k) = 0.
-3, -1, 1, 3
Suppose -4*v - 2 = 5*q, 2*q = 5*v - q - 16. Factor 36*s**v - 39 - 180*s - 21 - 21*s**2 + 36*s.
3*(s - 10)*(5*s + 2)
Factor 191*t**2 - 1530 + 2595*t - 348*t**2 - 647*t**2 - 461*t**2 - 5*t**4 + 205*t**3.
-5*(t - 34)*(t - 3)**2*(t - 1)
Let -76*s**2 - 2/7*s**3 - 1052/7 - 226*s = 0. Calculate s.
-263, -2, -1
Factor -5*j + 0 - 65/4*j**2 - 5/4*j**5 - 35/4*j**4 - 75/4*j**3.
-5*j*(j + 1)**3*(j + 4)/4
Let r be (4/7)/((-1)/(-7)). Suppose 0 = -4*g + g + 12. Let -g*p**3 - 2*p**3 + 4*p**3 + r + 4*p + p**3 - p**2 = 0. What is p?
-2, -1, 2
Let o(q) = 2*q**3. Let r(x) = x**2 + 28*x + 141. Let v be r(-21). Let a(m) = m**4 - 13*m**3 - 2*m**2. Let k(i) = v*o(i) - a(i). Suppose k(d) = 0. Calculate d.
-1, 0, 2
Let y(a) = -a**3 - 2*a. Let r(f) = f**5 - 8*f**4 + 22*f**3 - 16*f**2 + 13*f. Let x be 2*-2 - 0/((-20)/(-4)). Let p(m) = x*y(m) - r(m). Factor p(b).
-b*(b - 5)*(b - 1)**3
Factor -2/5*i**3 - 28/5 + 38/5*i - 8/5*i**2.
-2*(i - 2)*(i - 1)*(i + 7)/5
Suppose 301*i + 108*i - 700 = 59*i. Suppose -1/9 - 1/9*r**4 + 1/9*r**5 + 2/9*r**i - 2/9*r**3 + 1/9*r = 0. Calculate r.
-1, 1
Suppose 7*d - 12*d = -15. Determine j, given that -8*j**4 + 2*j**5 - 4*j**d - 7*j**3 + 5*j**3 + 36*j**2 = 0.
-2, 0, 3
Determine o, given that 20/13*o**3 + 86/13*o**2 + 0 - 8*o - 2/13*o**4 = 0.
-4, 0, 1, 13
Let m(c) be the first derivative of 4*c**5/5 - 23*c**4/4 - 70*c**3/3 - 8*c**2 + 1021. Suppose m(w) = 0. What is w?
-2, -1/4, 0, 8
Let h = 6310 - 94586/15. Let j(a) be the third derivative of 13/300*a**6 + 0*a - 2/5*a**5 - 1/525*a**7 + 28/15*a**4 + 0 + 16*a**2 - h*a**3. Factor j(t).
-2*(t - 4)**3*(t - 1)/5
Let o(a) = -519*a**3 + 24*a**2 + 65*a + 17. Let w(u) = -283*u**3 + 12*u**2 + 33*u + 8. Let v(s) = 6*o(s) - 11*w(s). Factor v(c).
-(c - 14)*(c + 1)**2
Let l be (4/(-22) + 48/22)/1. Find f, given that -45*f**l + 21*f - 29*f + 25*f**3 - 10 - 5*f**4 + 43*f = 0.
1, 2
Let q be 25 - ((-5048325)/90)/81. Solve -165/2*v**4 + 640 - q*v**3 - 1115/2*v**2 - 5/2*v**5 + 720*v = 0.
-16, -1, 1
Let p be (9 - -2) + 120/(-12) + 3. Suppose 5*y - 20 = -t, -4*t - 120*y - p = -121*y. Let 0*m + 1/6*m**2 - 1/6*m**3 + t = 0. Calculate m.
0, 1
Let u be (94/10 - 7)*25/15. Let x(d) be the first derivative of 1/2*d**u + 2*d - d**2 - 2/3*d**3 - 16. Factor x(y).
2*(y - 1)**2*(y + 1)
Let f = -3412 