3 - 608*n**2 - 616*n + 612. Let l(o) = 27*o**4 - 2464*o**3 + 2432*o**2 + 2464*o - 2448. Let j(d) = 3*l(d) + 11*m(d). Factor j(f).
4*(f - 153)*(f - 1)**2*(f + 1)
Let a(v) be the third derivative of -v**5/120 + 725*v**4/12 - 525625*v**3/3 + 145*v**2. Factor a(w).
-(w - 1450)**2/2
Let m(y) = 5*y**2 + 129*y - 4. Let h(d) = -d**2 - 15*d + 1. Let j(i) = -12*h(i) - 3*m(i). What is t in j(t) = 0?
-69, 0
Let a(k) be the first derivative of 0*k + 2/7*k**3 - 53 + 1/7*k**2 + 3/14*k**4 + 2/35*k**5. Let a(b) = 0. Calculate b.
-1, 0
Let o(x) = x**2 - 4*x - 4. Let k be o(5). Let j be ((-4)/16)/k + (-91)/(-28). Factor u**4 - 16*u + 5 + 9*u + 23*u + 8*u**3 + j*u**2 + 15*u**2.
(u + 1)**3*(u + 5)
Solve 198*u + 3/2*u**2 + 390 = 0 for u.
-130, -2
Suppose -96 - 562 = -47*b. Let c(w) be the second derivative of -1/48*w**4 - 1/8*w**3 + 0 - b*w - 1/4*w**2. Factor c(s).
-(s + 1)*(s + 2)/4
Let v(w) be the second derivative of w**7/315 - w**6/30 + w**5/10 - w**4/9 - 58*w**2 + 2*w + 13. Let f(q) be the first derivative of v(q). Factor f(n).
2*n*(n - 4)*(n - 1)**2/3
Let m(s) be the third derivative of 1/90*s**5 - 2/9*s**3 + 0 + 134*s**2 + 1/315*s**7 + 1/60*s**6 + 0*s - 1/12*s**4. Factor m(r).
2*(r - 1)*(r + 1)**2*(r + 2)/3
Let u = -494 + 500. Let -4*h**4 + 3*h**4 - 3*h - 27*h**2 + u*h - 23*h**3 - 20*h**4 + 68*h**3 = 0. Calculate h.
0, 1/7, 1
Suppose 0 = -21*n + 16 + 47. Let p(o) be the second derivative of 0 - 1/36*o**4 - 15*o + 2/9*o**n - 2/3*o**2. Factor p(x).
-(x - 2)**2/3
Let m be (-920)/6*(2 - 14/(-35)). Let x = -2572/7 - m. Factor 0*a - x + 4/7*a**2.
4*(a - 1)*(a + 1)/7
Suppose 7*g + 58 = 65. Let s be g + (-30)/(-6) + -6. Factor 8/9*u**2 + 0 + s*u - 8/3*u**3 - 14/9*u**4.
-2*u**2*(u + 2)*(7*u - 2)/9
Factor -8306*k + 1452 + 262*k**2 + 1350*k**2 - 57*k**3 - 345*k + 1490*k - 346*k**2.
-3*(k - 11)**2*(19*k - 4)
Let f be (4/60)/((-60030)/(-3750) + -16). Suppose f - 1/3*t**4 + 10/3*t - 10/3*t**3 - 8*t**2 = 0. Calculate t.
-5, -1, 1
Let z(k) = -2*k**2 + 17*k + 58. Suppose -6*o - 12 = -3*o, 0 = 3*r + 3*o - 21. Let t be z(r). Factor 3/2*n**2 + 0*n + 3/2*n**t + 0.
3*n**2*(n + 1)/2
Suppose -4*r - 1639 = -4*g - 239, 4*g = 3*r + 1049. Let k be 2/(-8) + r/(-156). Factor 0 - 1/6*j**k - 1/6*j.
-j*(j + 1)/6
Let d(h) be the first derivative of -h**3/3 + 3*h**2 + 13*h - 11. Let n be d(6). Factor 4*c**4 - 6*c**2 + 17 + 16*c**3 - n + 30*c**2 + 16*c.
4*(c + 1)**4
Let c(d) be the second derivative of d**6/105 + 13*d**5/7 + 148*d**4 + 18592*d**3/3 + 144256*d**2 - 3*d + 707. Factor c(m).
2*(m + 28)**3*(m + 46)/7
Find j, given that 0 - 33/5*j**2 + 2/5*j**3 + 0*j = 0.
0, 33/2
Let z(f) be the second derivative of 8405/2*f**2 + f - 102 + 205/3*f**3 + 5/12*f**4. Factor z(p).
5*(p + 41)**2
Solve -15*v**3 - 4*v**2 + 6*v**3 + 8 + 30*v + 6*v**3 - 34*v - 6*v**2 = 0 for v.
-2, 2/3
Let l(z) = -z**3 - z + 1. Suppose 5 = -5*g - 0. Let c(d) = 1 + 5 + 3*d**3 + d + 6*d**2 - 7 + 4*d. Let a(p) = g*l(p) - c(p). Suppose a(b) = 0. Calculate b.
-2, -1, 0
Let b(p) be the first derivative of p**6/3 + 22*p**5/5 + 21*p**4/2 - 70*p**3/3 - 94*p**2 - 96*p - 2594. Solve b(r) = 0.
-8, -3, -1, 2
Let x be 144/2808 + (-76)/(-312)*8. Factor 1250/7 + 2/7*v**x - 100/7*v.
2*(v - 25)**2/7
Let s(t) be the second derivative of -2*t**7/21 - 3*t**6/5 + 19*t**4/6 + 4*t**3 - 1804*t. Suppose s(v) = 0. Calculate v.
-4, -1, 0, 3/2
Let l(b) be the third derivative of 0 - 2/3*b**3 - 5/12*b**4 - 2/15*b**5 + 0*b + 106*b**2 - 1/60*b**6. Let l(w) = 0. Calculate w.
-2, -1
Let g(f) = 23*f**2 + 534*f + 208. Let r(w) = 160*w**2 + 3736*w + 1456. Let m be (-4)/(-7 + 85/15). Let x(y) = m*r(y) - 20*g(y). Determine i so that x(i) = 0.
-26, -2/5
Let o be (1 - 5) + (15/(-5) - -9). Let l(r) = -r**2 - 5*r + 8. Let m(f) = f**2 - f. Let i(h) = o*l(h) + 6*m(h). Find x such that i(x) = 0.
2
Let g(z) be the second derivative of -1/3*z**4 - 39*z + 0 - 34/3*z**3 + 0*z**2. Find k, given that g(k) = 0.
-17, 0
Solve -12/7*d - 135/7*d**2 + 3/7*d**4 - 36/7*d**3 + 180/7 = 0 for d.
-2, 1, 15
Factor 6*n**4 + 145046*n**3 - 448*n - 145174*n**3 + 464*n**2 - 2*n**4.
4*n*(n - 28)*(n - 2)**2
Let i be ((-440)/1936)/((-2)/385). Find g, given that 85/2*g + 0 + 5/4*g**3 + i*g**2 = 0.
-34, -1, 0
Suppose -g - 15109*i + 15113*i = -67, -42 = 2*g + 3*i. Factor 0 - 3*q + g*q**3 + 1/5*q**4 - 1/5*q**2.
q*(q - 1)*(q + 1)*(q + 15)/5
Suppose g - 4*g - 6 = -3*h, 4*h = -3*g + 22. Factor 11*q**3 + 7*q**h - q**2 - 9*q**3 - 8*q**4.
-q**2*(q - 1)**2
Let m = 538519/30 + -17950. Let f(i) be the third derivative of 0 + 22*i**2 - m*i**5 - 7/12*i**4 + i**3 + 4/105*i**7 + 0*i - 1/12*i**6. Factor f(o).
2*(o - 3)*(o + 1)**2*(4*o - 1)
Factor 0*q + 14/5*q**3 - 44/15*q**2 + 2/15*q**4 + 0.
2*q**2*(q - 1)*(q + 22)/15
Let m(x) = -58*x**2 + 0 - 5 - 32*x - 17 + 54*x**2. Let p(l) = 1. Let i(b) = -m(b) + 6*p(b). Find c, given that i(c) = 0.
-7, -1
Let d(o) be the first derivative of o**5/20 - 3*o**4/2 + 27*o**3/2 - 54*o**2 + 405*o/4 - 2229. Find c, given that d(c) = 0.
3, 15
Let p(y) = -12*y**2 + 23*y + 2. Let h be p(2). Let m(d) be the second derivative of 0 + h*d**2 + 1/2*d**3 - 9*d + 1/4*d**4. Factor m(n).
3*n*(n + 1)
Let b(s) be the first derivative of 51 + 2/21*s**3 + 0*s**2 - 8/7*s. Factor b(r).
2*(r - 2)*(r + 2)/7
Suppose -3/4*h**3 + 285/4*h - 141/2*h**2 + 0 = 0. Calculate h.
-95, 0, 1
Let g = -32391 - -32391. Let o(b) be the third derivative of 1/60*b**6 + g + 7/12*b**4 + 0*b - b**3 - 30*b**2 - 1/6*b**5. Factor o(a).
2*(a - 3)*(a - 1)**2
Let a be 4*1/18 + (4908/(-540) - -9). Let b(f) be the first derivative of -7/5*f**2 - 12/5*f - 6 - a*f**3. Factor b(n).
-2*(n + 1)*(n + 6)/5
Let r(b) be the third derivative of 5*b**8/336 - b**7/42 - 7*b**6/12 + 7*b**5/3 + 5*b**4/3 - 80*b**3/3 - 274*b**2. Solve r(g) = 0 for g.
-4, -1, 2
Let v(r) be the third derivative of -17*r**7/630 + r**6/18 + 7*r**5/90 - 5*r**4/18 + r**3/6 - 4400*r**2. Suppose v(f) = 0. Calculate f.
-1, 3/17, 1
Let v = -322 + 336. Suppose w - v = -11. Let 0*t + 6/5*t**w + 3/5*t**2 + 0 + 3/5*t**4 = 0. Calculate t.
-1, 0
Let q(o) be the third derivative of -5/84*o**8 - 26/21*o**7 - 229/24*o**6 - 45*o**3 + o**2 + 0*o - 435/8*o**4 + 107 - 34*o**5. Let q(v) = 0. Calculate v.
-6, -3, -1/2
Let t(d) be the first derivative of 3*d**6/8 - 39*d**5/10 - 135*d**4/16 + 12*d**3 + 15*d**2/2 - 14487. What is f in t(f) = 0?
-2, -1/3, 0, 1, 10
Let a(i) be the first derivative of 100*i**3 + 145*i**2/2 + 10*i - 141. Let a(l) = 0. Calculate l.
-2/5, -1/12
Suppose 544/5*k - 147968/5 - 1/10*k**2 = 0. What is k?
544
Suppose -605*y + 857 = -594 + 526 - 285. Suppose j + 2/3*j**y - 20/3 = 0. What is j?
-4, 5/2
Let r(u) = -u + 3. Let i be r(3). Suppose i = -x + 4*x - 18. Find q, given that x*q**2 + 551*q - 9*q**3 + 3*q**4 - 551*q = 0.
0, 1, 2
Let t(o) = 20*o + 570. Let f be t(-24). Let w be 360/f - (1 - 1). Let -70/3*s - 50/3 - 1/6*s**w - 23/2*s**2 - 7/3*s**3 = 0. What is s?
-5, -2
Let v(x) be the first derivative of 0*x + 15/2*x**2 + 0*x**4 - 6 + 1/12*x**3 - 1/480*x**5. Let c(y) be the second derivative of v(y). Let c(q) = 0. What is q?
-2, 2
Let v = -439073 - -439075. Solve 4 + 1/2*u**v - 9/2*u = 0 for u.
1, 8
Let g = 56157/12458 + -48/6229. Suppose g*v**2 - 1/2*v**3 + 11/2 + 21/2*v = 0. Calculate v.
-1, 11
Let k(u) be the first derivative of 0*u**3 + 1/16*u**4 + 1/2*u**2 + 0*u + 23 - 1/80*u**5. Let m(d) be the second derivative of k(d). Factor m(s).
-3*s*(s - 2)/4
Let f = -488956 + 2444789/5. Solve 1/5*c**4 + c**3 + 2/5 + f*c**2 + 7/5*c = 0 for c.
-2, -1
Let x(m) be the second derivative of 0 + 104*m + 0*m**3 - 5/21*m**7 + 2/5*m**6 - 1/10*m**5 + 0*m**2 + 0*m**4. Factor x(f).
-2*f**3*(f - 1)*(5*f - 1)
Let h = -26449 - -26454. Determine p, given that 24/7*p**3 + 4/7*p**h - 4*p + 0 + 32/7*p**2 - 32/7*p**4 = 0.
-1, 0, 1, 7
Let r be (-19116)/44 + -6 - -9. Let k = 432 + r. Factor 0 + 6/11*p**2 + k*p.
6*p*(p + 1)/11
Let r be -10 + (2 - 4) + 0 + 451/33. Factor 1/6*p**2 - 11/6 + r*p.
(p - 1)*(p + 11)/6
Let g(d) = 11*d**4 + 3*d**3 + 9*d**2 + 8*d + 9. Let b(l) = l**4 + l**3 + l**2 + 1. Let o be (4/(-2))/(-24 + 23). Let w(h) = o*g(h) - 18*b(h). Factor w(f).
4*f*(f - 2)**2*(f + 1)
Let n = -499140 + 6488822/13. Solve n*w**4 + 42/13*w**3 + 0 + 0*w + 0*w**2 = 0.
-21, 0
Suppose -5*p + 68172 = 64*p. Find l, given that -p*l - 338 + 155/2*l**2 - 3/2*l**3 = 0.
-1/3, 26
Suppose -85/3*p**2 + 32 - 11/