- 2551*v + 800. Let p be o(-57). Factor -1/12*w**p + 1/12*w**3 + 0 - 1/6*w.
w*(w - 2)*(w + 1)/12
Let b(f) be the first derivative of 5*f**9/6048 + f**8/336 + f**7/336 + 5*f**3/3 + 44. Let r(z) be the third derivative of b(z). What is j in r(j) = 0?
-1, 0
Let t(h) be the first derivative of 8*h**5/25 - 37*h**4/10 - 392*h**3/15 - 212*h**2/5 - 1678. Factor t(p).
2*p*(p + 2)**2*(4*p - 53)/5
Let y be ((4 - 12) + 21 + -12)*0/(-1). Let 18*v + y - 1/2*v**4 + 13/2*v**3 - 24*v**2 = 0. What is v?
0, 1, 6
Let j(s) = 13*s**3 + 2*s + 3. Let g be j(-1). Let o be (-4 + g)*(-1)/5. Factor 4/5*z**3 + o*z + 0 + 16/5*z**2.
4*z*(z + 2)**2/5
Let x(w) = 2*w**2 + 22*w + 50. Let c be x(-8). Factor -20*g + 36*g**2 + 16*g**3 - 12*g**c + 9*g**4 - 11*g**4 - 22*g**4 + 4*g**5.
4*g*(g - 5)*(g - 1)**2*(g + 1)
Let i(h) = -40*h - 920. Let t be i(-23). Let k(z) be the third derivative of 1/450*z**5 + 11*z**2 + t*z + 0 + 1/90*z**4 + 1/45*z**3. Factor k(b).
2*(b + 1)**2/15
Suppose -2*o = 2*t + 4256, 7*t = 9*t + 4*o + 4256. Let z be 6446/266 - 112/t. Determine y so that 6*y**5 + 8/7 - z*y**4 + 214/7*y**3 - 78/7*y**2 - 16/7*y = 0.
-2/7, 1/3, 1, 2
Let a(w) be the second derivative of w**4/72 - 29*w**3/12 + 83*w**2/3 - w - 1960. Solve a(b) = 0.
4, 83
Let n(t) = t**4 - 239*t**3 - 1003*t**2 - 1252*t - 507. Let m(s) = -4*s**4 + 716*s**3 + 3004*s**2 + 3756*s + 1520. Let y(l) = 3*m(l) + 8*n(l). Factor y(d).
-4*(d - 63)*(d + 1)**2*(d + 2)
Let l(a) be the second derivative of 4 + 4/3*a**4 - 7*a - 2/15*a**6 - 6*a**2 + 4/3*a**3 - 2/5*a**5. Factor l(o).
-4*(o - 1)**2*(o + 1)*(o + 3)
Let y(g) = -3*g**3 - g**2 - g - 1. Let u be y(-1). Suppose 0 = 3*j + u*o - 5, -4*j = 4*o + o - 2. Solve -f**5 - 4*f**3 + 8*f**j + 2*f**5 - 5*f**5 = 0.
-1, 0, 1
Let f(a) be the second derivative of -a**6/270 + 13*a**5/45 - 137*a**4/36 + 524*a**3/27 - 344*a**2/9 + 377*a. Factor f(q).
-(q - 43)*(q - 4)**2*(q - 1)/9
Let s be (4/60)/((-5260)/(-100)). Let v = 2105/789 - s. Factor 4/9*m**5 + 0 + 16/9*m**2 - 20/9*m**4 + v*m**3 - 32/9*m.
4*m*(m - 2)**3*(m + 1)/9
Let h(a) be the first derivative of a**4/10 - 456*a**3/5 + 116964*a**2/5 + 5095. Solve h(o) = 0 for o.
0, 342
Factor -3/5*t**2 + 1899/5 + 624/5*t.
-3*(t - 211)*(t + 3)/5
Let x = -75773 - -227320/3. Suppose -4*t**2 + 0 - 13/3*t**3 - x*t**5 - 2*t**4 - 4/3*t = 0. What is t?
-2, -1, 0
Factor 0*h**2 - 2/7*h**3 + 6/7*h + 4/7.
-2*(h - 2)*(h + 1)**2/7
Find i, given that 85141*i**4 - 485*i**3 - 85146*i**4 - 29484 + 7394 - 34075*i - 12465*i**2 = 0.
-47, -2, -1
Let y(r) be the first derivative of -9/16*r**4 + 1/8*r**6 + 0*r**2 + 53 - 1/2*r**3 + 0*r**5 + 0*r. Suppose y(b) = 0. What is b?
-1, 0, 2
Let d(v) be the second derivative of v**5/90 - v**4/24 - v**3/9 - 28*v**2 + 49*v. Let m(w) be the first derivative of d(w). Factor m(h).
(h - 2)*(2*h + 1)/3
Let h(b) = 35*b**2 + 42*b + 1. Let i(u) = 2*u**2 + 1. Suppose 4*v = 2*a + 2, 4*a + 50 = 30. Let l(q) = v*i(q) - h(q). Factor l(o).
-3*(o + 1)*(13*o + 1)
Suppose 100 - 90 = 5*h. Let -40*y**5 + 621*y + 110*y**5 + 486 - 38*y**5 + 54*y**4 - 234*y**3 - 156*y**h - 35*y**5 = 0. What is y?
-1, 2, 9
Let f(l) be the third derivative of 0*l - 31/132*l**4 + 0 + 7/165*l**5 + 16/33*l**3 + 1/660*l**6 - 232*l**2. Factor f(k).
2*(k - 1)**2*(k + 16)/11
Let f(l) be the second derivative of l**8/336 + l**7/70 + l**6/60 - 73*l**2/2 - 4*l. Let c(q) be the first derivative of f(q). Factor c(i).
i**3*(i + 1)*(i + 2)
Let p(h) = -h**4 + 2*h**3 - 3*h**2 + 2*h - 1. Let n(g) = 3*g**4 - 226*g**3 - 12297*g**2 - 46660*g - 45792. Let x(o) = -n(o) - 4*p(o). Factor x(w).
(w + 2)**2*(w + 107)**2
Let b(u) be the second derivative of -2*u**4 - 50*u**3/3 - 52*u**2 - 1164*u. Factor b(n).
-4*(n + 2)*(6*n + 13)
Suppose -2*a + 15 = 3*p - 4*a, -3*a + 9 = 0. Suppose 2*j + 2*t = p*j - 18, -2*t - 8 = 0. Solve 0 - 11/3*m**j + 2/3*m = 0 for m.
0, 2/11
Let k = 12677027424/1385 - 9153088. Let l = k + 2/277. Factor -4/15*p + 2/3*p**3 + 0 + l*p**2.
2*p*(p + 1)*(5*p - 2)/15
Let t = 1694807/15 - 112939. Factor 2/15*c**2 + t - 76/15*c.
2*(c - 19)**2/15
Determine z so that -2/7*z**2 - 1534752/7 - 3504/7*z = 0.
-876
Let g be 1856/480 - (-60)/450. Factor 4/9*k**g - 8/9*k + 1/9*k**5 - 14/9*k**2 + 0 - 1/3*k**3.
k*(k - 2)*(k + 1)**2*(k + 4)/9
Let x(f) be the third derivative of -f**5/120 + 4*f**4 - 189*f**3/4 - 2*f**2 + 1983*f + 1. Solve x(s) = 0 for s.
3, 189
Let v = -2256 - -9025/4. Let o be (-3)/4 + -12 + 13. Factor 1/2*i**2 + 1/4*i - v*i**4 - o + 1/4*i**5 - 1/2*i**3.
(i - 1)**3*(i + 1)**2/4
Let u be (-1194)/(-630) - ((-21)/((-7497)/4318) - 12). Factor 6 - 3/5*n**2 - u*n.
-3*(n - 2)*(n + 5)/5
Let w(k) = 2*k**2 + 73*k + 444. Let n be w(-29). Let q(i) be the first derivative of 0*i + 1/2*i**2 + 0*i**3 + n - 1/4*i**4. Factor q(o).
-o*(o - 1)*(o + 1)
Let l be 9675/(-100) + 7*1. Let b = l + 1109/12. Factor 20/3*z + 4/3*z**5 - 8*z**3 + 4 - 4/3*z**4 - b*z**2.
4*(z - 3)*(z - 1)*(z + 1)**3/3
Suppose -s = -h - 2, 5*h + 0*s = 2*s - 10. Let t be (2/(-8))/((-7)/(-14)) - h. Suppose 0*v + 0 - 1/2*v**5 - 1/2*v**2 - t*v**4 - 3/2*v**3 = 0. Calculate v.
-1, 0
Let w(y) be the first derivative of -14*y**6/3 + 16*y**5/5 + 52*y**4 + 56*y**3/3 - 90*y**2 - 72*y - 9255. Determine i, given that w(i) = 0.
-2, -1, -3/7, 1, 3
Let j = 16 - 3. Let d be 6 + (-8)/5 + (-8)/20. Factor -19 + s**d - s**3 + 30 + 5*s - 3*s**2 - j.
(s - 1)**3*(s + 2)
Let b(j) be the first derivative of 3*j**3/7 + 87*j**2/14 - 30*j/7 - 1081. Factor b(p).
3*(p + 10)*(3*p - 1)/7
Let o be 10/(-60) + 26/12. What is r in -84*r + 48 + 4*r**3 + 31*r**o - 5*r**3 + 4*r**3 + 5*r**2 - 3*r**4 = 0?
-4, 1, 2
What is s in 6*s - 76*s**2 - 472*s**2 - 19*s - 51*s + 104*s**2 + 28*s**3 = 0?
-1/7, 0, 16
Determine m so that 930/7*m**2 + 24 - 684/7*m - 63*m**3 + 27/7*m**4 = 0.
2/3, 1, 14
Factor -240*z**2 - 67200*z - 2/7*z**3 - 6272000.
-2*(z + 280)**3/7
Let m(j) = -j**3 - j**2 - 4*j - 9. Let v = 421 - 423. Let o be m(v). Determine s, given that -3/5*s**3 - 12/5*s**2 - o*s - 6/5 = 0.
-2, -1
Let m(c) be the second derivative of -29/3*c**3 + 13/15*c**6 + 3*c**5 + 0 + 1/3*c**4 - 1/21*c**7 - 15*c**2 + 8*c. What is y in m(y) = 0?
-1, 1, 15
Let c be (5/2 - 1)/3. Suppose 3*p = -4*u + 98, 0 = p - 210*u + 209*u + 21. Factor c*d**p - 5/2 + 2*d.
(d - 1)*(d + 5)/2
Let d(y) be the third derivative of -y**8/4032 - y**7/504 + 5*y**6/48 - y**5/12 + y**4/12 + 6*y**2 + 3*y. Let z(s) be the third derivative of d(s). Factor z(t).
-5*(t - 3)*(t + 5)
Suppose -2/11*b**3 + 0 - 34/11*b**2 - 32/11*b = 0. What is b?
-16, -1, 0
Let d(x) = 3*x**5 - 64*x**4 + 65*x**3 - 2*x**2 - 2. Let a(w) = -8*w**5 + 129*w**4 - 131*w**3 + 5*w**2 + 5. Let b(j) = -4*a(j) - 10*d(j). Factor b(q).
2*q**3*(q - 1)*(q + 63)
Let v(n) = 4*n**3 + 3*n**2 - n. Let a(p) = 21*p**3 + 1125*p**2 + 410695*p + 50653000. Let o(u) = a(u) - 5*v(u). Factor o(f).
(f + 370)**3
Factor 18044*c - 36102*c + 536*c**3 + 804*c**3 + 5*c**4 + 18058*c.
5*c**3*(c + 268)
Find j, given that -3*j**2 + 60 + 31/2*j - 1/2*j**3 = 0.
-8, -3, 5
What is t in -1106*t**2 + 1107*t**2 + 4*t + 0*t + 3 = 0?
-3, -1
What is a in 57 + 1115*a**2 - 2222*a**2 - 60*a + 1110*a**2 = 0?
1, 19
Suppose 49*b**4 + 4415*b**2 - 1472*b**2 - 1471*b**2 + 17*b**5 - 1464*b**2 - 29*b**3 - 45*b**3 = 0. What is b?
-4, 0, 2/17, 1
Let f(z) be the second derivative of -z**4/12 + 1186*z**3 - 6329682*z**2 + 300*z - 1. Find a such that f(a) = 0.
3558
Let m be ((-24)/(-16))/((-15)/(-60)). Let b(y) be the second derivative of -40*y + 0*y**5 + 0 + 0*y**4 + 1/225*y**m + 0*y**3 + 0*y**2. Factor b(t).
2*t**4/15
Let w(s) be the first derivative of -s**5/140 + s**4/8 - 5*s**3/7 + 32*s**2 - 80. Let t(n) be the second derivative of w(n). Suppose t(h) = 0. What is h?
2, 5
Let i(a) = a**3 - a**2 + 2*a - 5. Let g be i(0). Let n = 50 - g. Factor 37 - 200*l - 20 - 5*l**3 + 1 + n*l**2 + 222.
-5*(l - 4)**2*(l - 3)
Let t(h) = -28*h**3 - 172*h**2 + 1352*h + 3368. Let r(b) = -10*b**3 - 57*b**2 + 450*b + 1123. Let m(o) = 8*r(o) - 3*t(o). Let m(a) = 0. Calculate a.
-20, -2, 7
Let q(a) = 16*a**4 + 85*a**3 + 180*a**2 + 9*a + 3. Let f(w) = 14*w**4 + 85*w**3 + 180*w**2 + 6*w + 2. Let u(o) = 3*f(o) - 2*q(o). Factor u(h).
5*h**2*(h + 4)*(2*h + 9)
Find c, given that 54*c**2 + 236034 - 144277 - 52*c**2 - 35073 + 390774 + 1892*c = 0.
-473
Let c(d) be the first derivative of d**6/1980 + 7*d**5/660 - 7*d**3/3 - 5*d**2/2 + 9. L