 -i**5/5 + 3*i**4 - 10*i**3/3 - 6*i**2 + 11*i + 583. Factor b(w).
-(w - 11)*(w - 1)**2*(w + 1)
Factor 616/9 + 617/9*u + 1/9*u**2.
(u + 1)*(u + 616)/9
Let u be (-1398)/(-1631) + (-50)/42 + (-5)/(-15). Let o(p) be the second derivative of -1/8*p**3 + u*p**2 + 0 - 15*p + 1/32*p**4. Find a, given that o(a) = 0.
0, 2
Suppose -2*n + 4 = -w, 5*n + 1 = -20*w + 17*w. Let a be (1 - 0)*-4*n/(-2). Factor 9/5*p + 14/5*p**3 - 6/5*p**4 - 16/5*p**a + 1/5*p**5 - 2/5.
(p - 2)*(p - 1)**4/5
Let v(b) be the second derivative of -b**6/180 + b**4/36 - b**2/12 - 96*b. Factor v(h).
-(h - 1)**2*(h + 1)**2/6
Let l(o) be the first derivative of o**4/4 - o**3 - 5*o**2 + 24*o + 1084. Factor l(q).
(q - 4)*(q - 2)*(q + 3)
Suppose 1009*l - 10 - 57596*l**2 + 0 + 3 - 9 - 29282*l**3 + 919*l = 0. Calculate l.
-2, 2/121
Let n(z) = 9*z + 203. Let g(d) = -464*d - 10353. Let q(s) = 4*g(s) + 203*n(s). Let p be q(-7). Let p + 4/17*r + 2/17*r**2 = 0. Calculate r.
-2, 0
Let k = 221/90 + -397/180. Factor 1/4*x**3 - k*x - x**2 + 1.
(x - 4)*(x - 1)*(x + 1)/4
Factor 11500*k**3 + 320*k**2 - 5749*k**3 + 4*k**4 - 5583*k**3.
4*k**2*(k + 2)*(k + 40)
Let b(x) be the second derivative of -x**5/4 + 245*x**4/12 - 875*x**3/6 - 1125*x**2/2 + 379*x - 5. Factor b(a).
-5*(a - 45)*(a - 5)*(a + 1)
Determine j so that -67/2*j - 23 - 10*j**2 + 1/2*j**3 = 0.
-2, -1, 23
Let t be 1/9*3 + 9/(-27). Suppose t = -12*y + 17*y - 10. Factor -30 - 6*k**y + 2*k**2 - 7*k**2 + 6*k**2 - 25*k.
-5*(k + 2)*(k + 3)
Find q such that 1440*q**2 + 268/3 + 64/3*q**3 + 716*q = 0.
-67, -1/4
Suppose 0 = 10*b - 6*b - 236. Solve -44*t**2 + 23*t**4 + b*t**2 - 28*t**4 + 10*t**3 = 0.
-1, 0, 3
Suppose 12*b - 5*b = 14. Let t be (b/10)/(89/8 + -11). Factor -24/5*g**3 - t*g - 1/5 - 9/5*g**4 - 22/5*g**2.
-(g + 1)**2*(3*g + 1)**2/5
Let v be 7/((-42)/(-936)) + 14. Let c(t) be the first derivative of -210*t**3 - 405/4*t**4 + 8 - 40*t + v*t**2. Find i such that c(i) = 0.
-2, 2/9
Let b be 11 + ((-1)/2 - 2646/252). Find i such that 1/2*i**3 + 1/2*i + b - i**2 = 0.
0, 1
Let o(l) = 4*l**3 - 128*l**2 + 642*l - 506. Let f(d) = -d + 7. Let k(v) = 2*f(v) - o(v). Solve k(m) = 0 for m.
1, 5, 26
Let r(b) be the second derivative of -9*b**7/14 - 198*b**6/5 + 3717*b**5/5 + 7825*b**4/6 + 5303*b**3/6 + 297*b**2 - 3885*b - 1. Solve r(o) = 0.
-54, -1/3, 11
Let h = -451925 + 1807703/4. What is c in -23/4*c - 15/4 + 15/4*c**3 + c**4 + h*c**2 = 0?
-3, -1, 5/4
Factor -2/3*q**3 + 0*q**2 + 0*q - 2/3*q**4 + 0.
-2*q**3*(q + 1)/3
Let v be (-14 + -4 + 17)*1*-2. What is t in 1 - 5*t**v - 4 - 4 + 7 + 10*t = 0?
0, 2
Let b(v) be the third derivative of 5/4*v**4 + 25/3*v**3 + v - 3/10*v**5 + 0 + 1/60*v**6 - 82*v**2. Factor b(n).
2*(n - 5)**2*(n + 1)
Let z(d) be the second derivative of -d**5/140 - d**4/84 - 128*d**2 + 2*d + 57. Let l(s) be the first derivative of z(s). Solve l(t) = 0.
-2/3, 0
Let p be (6/(-15))/((-2)/10). Let a(r) = -16*r - 4*r - r**p - 16 + 5*r**2 + 5. Let x(b) = b**2 - 5*b - 3. Let i(j) = 6*a(j) - 22*x(j). Factor i(k).
2*k*(k - 5)
Let s be (-5 + 13/2)*2. Factor 3*x**3 - 3*x - 6*x - 2*x**2 + 12*x - 4*x**s.
-x*(x - 1)*(x + 3)
Let h = -1508 + 1508. Let d(m) be the second derivative of 8*m + h + 0*m**3 + 1/3*m**4 - 2*m**2. Suppose d(k) = 0. Calculate k.
-1, 1
Let 0 - 5/2*b**5 + 9/8*b**3 + 0*b + 0*b**2 - 57/8*b**4 = 0. Calculate b.
-3, 0, 3/20
Let p(l) = l**3 - 3*l**2 + 5*l - 10. Let c be p(3). Factor -24*z**2 + 2*z**c + 77*z**3 - 10*z + 6*z**4 - 81*z**3 - 6*z.
2*z*(z - 2)*(z + 1)*(z + 2)**2
Let y be ((-506)/161 - -2)/((-4)/7) - -3. Let 4/5*a - 2/5*a**y + 0 - 2/5*a**3 - 6/5*a**2 + 6/5*a**4 = 0. What is a?
-1, 0, 1, 2
Let a(i) be the third derivative of -35*i**8/48 - 13*i**7/2 - 85*i**6/6 - 11*i**5 - 10*i**4/3 + 3*i**2 + 6*i. Find q, given that a(q) = 0.
-4, -1, -2/7, 0
Suppose 207/5 - 129/5*s + 17/5*s**2 + 1/5*s**3 = 0. What is s?
-23, 3
Let h be ((-84)/(-264))/((-135)/(-81)) + 5/(-50). Let 1/11*w**4 + 0 - 1/11*w**2 + h*w**5 + 0*w - 1/11*w**3 = 0. What is w?
-1, 0, 1
Let o(k) = 8*k**2 + k. Let q be o(1). Let i(l) = 4*l - 29. Let x be i(q). Factor -2*n**2 + 13*n - 7*n**2 - 6 + x*n**2.
-(n - 6)*(2*n - 1)
Let g(r) be the third derivative of r**6/16 + 13*r**5/48 + 5*r**4/12 + 5*r**3/24 - 2139*r**2. Factor g(j).
5*(j + 1)**2*(6*j + 1)/4
Let m(g) be the second derivative of 5*g**4/12 - 1490*g**3/3 + 222010*g**2 + 9*g + 24. Suppose m(t) = 0. Calculate t.
298
Suppose 5*c = -4*o + 69, -5*c = 7*o - 4*o - 48. Let j be (o/14)/(-6*(-2)/32). Suppose -6/7*v**j - 2/7*v**5 - 6/7*v**3 + 0 + 0*v - 2/7*v**2 = 0. Calculate v.
-1, 0
Let i(l) be the third derivative of 13/300*l**5 + 1/150*l**6 - 1/3*l**4 - 53*l**2 - 1/1050*l**7 - 8/5*l**3 + 0*l + 0. Factor i(f).
-(f - 4)**2*(f + 1)*(f + 3)/5
Let n(p) be the first derivative of -p**3/2 + 627*p**2/4 - 927*p + 7321. What is j in n(j) = 0?
3, 206
Suppose 10*k - 51 = 189. Factor k*w + 25*w - 50*w - w**2 + 2.
-(w - 1)*(w + 2)
Let d = -8199/2 - -49195/12. Let z(v) be the third derivative of 0 + 20*v**2 - d*v**4 + 0*v - 1/240*v**5 + 0*v**3. Find i such that z(i) = 0.
-8, 0
Let d(f) be the second derivative of -f**7/126 - f**6/24 + f**5/4 - 25*f**4/72 - 6*f**2 + 37*f. Let c(p) be the first derivative of d(p). Factor c(i).
-5*i*(i - 1)**2*(i + 5)/3
Let t = -237/325 + 24697/16575. Let p = 2/51 + t. Factor -p*z - 4/5*z**2 - 1/5*z**3 + 0.
-z*(z + 2)**2/5
Let b(h) be the second derivative of -h**5/50 - h**4/2 - 5*h**3 - 25*h**2 + 1736*h. Suppose b(l) = 0. What is l?
-5
Let b(y) be the first derivative of 160*y**3/33 + y**2/11 - 224. Factor b(n).
2*n*(80*n + 1)/11
Let k(z) be the second derivative of z**7/42 + 7*z**6/10 + 14*z**5/5 + 3*z**4 + 1569*z + 1. Suppose k(t) = 0. Calculate t.
-18, -2, -1, 0
Let s(a) be the second derivative of -3*a**5/40 - 97*a**4/8 - 141*a**3/2 + 3132*a. Factor s(q).
-3*q*(q + 3)*(q + 94)/2
Let g = -452 + 153. Let y = -296 - g. Find t such that 3*t**3 + 17*t + 83/4*t**2 + y = 0.
-6, -2/3, -1/4
Determine j so that 0 + 111/5*j**3 - 33/5*j**5 + 0*j - 12*j**4 - 18/5*j**2 = 0.
-3, 0, 2/11, 1
Let a(l) be the second derivative of l**6/30 - 37*l**5/40 + 101*l**4/12 - 83*l**3/3 + 30*l**2 - 3*l - 1351. Suppose a(y) = 0. Calculate y.
1/2, 2, 6, 10
Suppose 35*g - 40*g = -10. Suppose f - 9 = -g*d + 1, 3*d - 15 = f. Let -239*b**3 + 3*b**5 + 4*b**5 - 8*b**4 + 243*b**3 - 3*b**d = 0. Calculate b.
0, 1
Let a = 81/1202 - -76685/3606. Factor a + 2/3*s**2 - 12*s.
2*(s - 16)*(s - 2)/3
Suppose -3*u - 1025 = -4*i - 1026, 0 = -i + u - 1. Solve 35/3*k**4 + 8/3*k + 0 - 74/3*k**3 + 4/3*k**i = 0 for k.
-2/7, 0, 2/5, 2
Suppose 0 = 5*c - 2*p - 3*p, 2*c = 5*p - 15. Solve -15*s**4 + 815*s**2 - 2 + 27*s**3 - 6*s - 800*s**2 - 21*s**c + 2 = 0.
-1, 0, 2/7, 1
Let i(z) be the first derivative of z**7/3780 + z**6/54 + 7*z**5/15 + 98*z**4/27 + z**3 - z - 57. Let b(p) be the third derivative of i(p). Factor b(s).
2*(s + 2)*(s + 14)**2/9
Suppose 7*b = -3*z - 103, z - 234 + 167 = 4*b. Determine t so that 16*t**z + 13/2*t + 3/2*t**5 + 1 + 15*t**2 + 8*t**4 = 0.
-2, -1, -1/3
Let p(b) = -2*b**4 - b + 2. Let r(t) = -14*t**4 - 6*t**3 + 4*t**2 + 18*t + 28. Let w(x) = 6*p(x) - r(x). Determine s so that w(s) = 0.
-2, -1, 2
Let h(d) be the third derivative of d**8/1120 + d**7/252 + d**6/180 + d**4/12 + 9*d**3/2 + 82*d**2. Let b(o) be the second derivative of h(o). Factor b(f).
2*f*(f + 1)*(3*f + 2)
Let i(n) be the second derivative of n**6/150 - n**5/20 - 2*n**4/15 + 2*n**3/5 - 2*n - 1985. Factor i(q).
q*(q - 6)*(q - 1)*(q + 2)/5
Suppose 4*a - 3*f = -f + 10, 3*a = -f + 5. Suppose 4*i**a + 26*i**2 - 54*i - 5*i**3 + 54*i = 0. Calculate i.
0, 6
Let v be -4 + -2 + -5 + 18 + (-735)/135. Factor 2/3*h**3 + 0 + 2/3*h - 4/9*h**5 + v*h**2 - 2/3*h**4.
-2*h*(h + 1)**3*(2*h - 3)/9
Let d = 48 + 72. Determine w, given that 3*w**5 - 5*w - 30*w**4 + 23*w + 99*w**3 + 39*w - 9*w - d*w**2 = 0.
0, 1, 4
Let c(a) be the third derivative of a**5/12 + 605*a**4/12 + 1023*a**2. Factor c(y).
5*y*(y + 242)
Let j(v) = 32*v**2 + 125*v - 90. Let h(k) = 2*k**2 + 9*k + 3. Let n(g) = -10*h(g) + 5*j(g). Suppose n(w) = 0. What is w?
-32/7, 3/4
Let g(n) = -18*n - 10 - 3 - 15*n**2 - 2*n**2 - n**2 - n**3. Let w be g(-17). Let -2*y**3 + 3*y**4 - 16*y**w + y**4 + 10*y**4 = 0. What is y?
-1, 0
Factor 0 - 206/17*r**2 - 2/17*r**3 + 420/17*r.
-2*r*(r - 2)*(r + 105)/17
Let v(w) be the second derivative of -20/3*w**2 + 26/