*5 + 0*y**2 + 1/3*y**3 + 0*y + 0 + v*y**4.
y**3*(y + 1)**2/3
Let y(s) be the third derivative of -s**6/300 + 83*s**5/50 + 171*s**4/4 + 1295*s**3/3 + s**2 - 16*s + 15. Let y(c) = 0. Calculate c.
-5, 259
Let z(n) be the second derivative of -6*n**2 + 0 - 47*n + 3/80*n**5 - 9/16*n**4 + 3*n**3. Factor z(u).
3*(u - 4)**2*(u - 1)/4
Let h(o) be the first derivative of o**4/14 - 20*o**3/21 + 3*o**2 + 1439. Factor h(s).
2*s*(s - 7)*(s - 3)/7
Let d = 3001 + -3001. Let m(h) be the third derivative of 0*h - 1/44*h**4 - 25*h**2 + 0*h**3 - 1/330*h**5 + d. Factor m(p).
-2*p*(p + 3)/11
Let g(y) be the first derivative of -y**5/4 - 25*y**4/12 - 35*y**3/6 - 15*y**2/2 - 38*y + 63. Let p(r) be the first derivative of g(r). Let p(k) = 0. What is k?
-3, -1
Suppose -11*k + 9*k = -h - 125, -5*k = -7*h - 299. Let p(c) be the first derivative of -k*c**2 - 25/2*c**4 + 190/3*c**3 + 24*c + 19. Factor p(m).
-2*(m - 3)*(5*m - 2)**2
Let s be (-42)/(-9)*621/1932*(-24)/(-45). Factor -s*f + 1/5*f**2 + 3/5.
(f - 3)*(f - 1)/5
Suppose -19*a + 18*a + 10 = 0. Factor -15*j**3 - 7*j**4 - a*j**4 + 6*j**5 + 2*j**4 - 11*j**5 - 5*j**2.
-5*j**2*(j + 1)**3
Let s(c) be the first derivative of 10*c - 25/6*c**2 - 5/9*c**3 + 6. Determine p, given that s(p) = 0.
-6, 1
Let c(j) be the second derivative of 0 + 17/42*j**4 - 47*j + 0*j**2 + 16/21*j**3 + 1/70*j**5. Factor c(m).
2*m*(m + 1)*(m + 16)/7
Let r(o) be the third derivative of 3*o**7/112 - 133*o**6/320 + 51*o**5/80 + o**4/4 + 1327*o**2. Suppose r(n) = 0. Calculate n.
-2/15, 0, 1, 8
Let z(t) = -t**3 - 63*t**2 - 927*t + 354. Let q be z(-39). Determine k, given that 2/15*k**q - 2/3*k + 4/15*k**2 - 4/5 = 0.
-3, -1, 2
Let y(x) be the first derivative of x**6/1440 - x**5/96 + x**4/16 + 41*x**3/3 - 3*x**2/2 + 146. Let m(z) be the third derivative of y(z). Factor m(h).
(h - 3)*(h - 2)/4
Let u(i) = -10*i - 4 - 4*i + 3*i**3 - 1 - 2*i**3. Let b be u(4). Factor 9/2 - 3/2*n**2 - b*n.
-3*(n - 1)*(n + 3)/2
Let t(v) = 7*v**2 + 21*v - 4. Let x be t(-3). Let c be (x/12)/((-7)/14). Let -1/3*b**3 - 1/3*b + 0 - c*b**2 = 0. What is b?
-1, 0
Let t be 8/6*(-23)/(598/(-39)). Solve 12*n**3 + 4*n**4 - 48*n - 43 - 50 - 8*n**t + 61 = 0.
-2, -1, 2
Suppose 30*w - 812 = w. Let k be (74 + 1)*1*1. Let -6 - 8 - w*f**3 + 2 - k*f**4 + 33*f**2 - 36*f + 118*f**3 = 0. What is f?
-2/5, 1
Let u = 20350117/1808900 - -2/452225. Determine n so that -69/2*n - 9/4 - u*n**2 = 0.
-3, -1/15
Let t(l) be the second derivative of 1/72*l**4 + 1/4*l**3 + 129*l + 0 + 5/3*l**2. Factor t(d).
(d + 4)*(d + 5)/6
Suppose -4*i + 5*z = -5 - 7, -4*i = -3*z - 12. Let h be (-2)/i*84/(-8). Determine w, given that -h + 3*w + 7 + 2 - 3*w**2 - 3*w**3 + 1 = 0.
-1, 1
Factor -6613196/7*t**2 - 902/7*t**4 - 134996/7*t**3 + 13634998/7*t - 2/7*t**5 - 6885902/7.
-2*(t - 1)**2*(t + 151)**3/7
Let l(q) = -q**3 - 13*q**2 + 17*q + 44. Let y be l(-14). Suppose 3*a + 4*k - 53 = -32, -4*a - 5*k + 27 = 0. Factor -3/7*s**4 + 0 + 9/7*s + 3/7*s**a + 15/7*s**y.
-3*s*(s - 3)*(s + 1)**2/7
Let o be (46/(-460))/((-427)/1830). Suppose -o*p**2 + 39/7*p - 66/7 = 0. Calculate p.
2, 11
Let u(t) = 2*t**2 - 14*t - 10. Let x(j) = j**2 - j - 1. Let p(h) = -3*h - 85. Let f be p(-28). Let n(a) = f*u(a) + 6*x(a). Suppose n(l) = 0. Calculate l.
-1
Let y(g) = -4*g**2 + 5*g**2 + 10*g + 2*g - 5*g + 2. Let r be y(-7). Factor -3*u**2 + 0*u**r + 5*u + 19*u + 12*u.
-3*u*(u - 12)
Factor -27/2 + 3/2*c**2 + 9/2*c - 1/2*c**3.
-(c - 3)**2*(c + 3)/2
Let y(o) be the third derivative of o**5/210 + 172*o**4/21 + 118336*o**3/21 - 47*o**2 + 25*o. Determine i so that y(i) = 0.
-344
Let l(p) be the first derivative of 24*p**5/25 + 79*p**4/10 + 166*p**3/15 - 64*p**2/5 - 8*p - 3409. Let l(i) = 0. What is i?
-5, -2, -1/4, 2/3
Suppose 12*q - 4*q - 4744 = 0. Let d = q - 577. Find r such that 0*r + d*r**2 - 4*r**3 + 1/4*r**4 + 0 = 0.
0, 8
Let v(w) be the third derivative of w**7/840 + w**6/60 + w**5/10 - w**4/12 - 10*w**3/3 - 3*w**2 - 20*w. Let g(d) be the second derivative of v(d). Factor g(x).
3*(x + 2)**2
Solve 1332*t + t**2 - 2*t**2 - 691*t - 300 - 678*t = 0.
-25, -12
Let n be (-150)/(-20)*(-1)/(5/6). Let z be ((-36)/(-324))/((-5)/n). Find s, given that 0 - 1/5*s**4 + z*s**2 + 1/10*s + 0*s**3 - 1/10*s**5 = 0.
-1, 0, 1
Factor 1/6*w**3 - 8*w**2 - 88/3 + 30*w.
(w - 44)*(w - 2)**2/6
Let v(n) be the first derivative of -2/9*n**3 + 100 - 13/3*n + 9/2*n**2. Factor v(l).
-(l - 13)*(2*l - 1)/3
Let g(l) = -3*l**2 + 13*l + 19. Let k be g(5). Let z be 33/k - ((-91)/21 - -4). Find n such that 4/3*n**z - 14/3*n**3 + 2*n + 0 + 4/3*n**2 = 0.
-1/2, 0, 1, 3
Let p(c) be the first derivative of -1/8*c**4 - 7/8*c**2 + 1/24*c**6 - 2/3*c**3 - 1/2*c + 237 + 1/10*c**5. Factor p(y).
(y - 2)*(y + 1)**4/4
Let 15*g**4 - 85*g**2 + 35*g**3 - 63*g**2 + 165*g - 50 - 17*g**2 = 0. What is g?
-5, 2/3, 1
Suppose 6*m - 57 = -27. Suppose 5*u**4 + 32*u**m + 3*u**3 - 31*u**5 - 13*u**2 - 4*u + 8*u**2 = 0. Calculate u.
-4, -1, 0, 1
Suppose -3*s - 2 = 4*r - 2*s, 4*s + 8 = 4*r. Factor -11*z**2 - 45*z - 3*z**3 - 17*z + r*z - 22*z**2 + 5*z - 27.
-3*(z + 1)**2*(z + 9)
Let x be 5/5 + 4 - (1 + 0). Factor 89*s**3 - 7*s**4 + s**2 - 92*s**3 + s**4 + 2*s**x.
-s**2*(s + 1)*(4*s - 1)
Suppose 0 = 384*c - 326*c - 174. Let z(w) be the second derivative of -4/3*w**2 + 10*w - 1/9*w**4 + 2/3*w**c + 0. Solve z(p) = 0 for p.
1, 2
Let c(r) be the third derivative of 1/24*r**4 + 0 + 3/20*r**5 - 287*r**2 - 3/2*r**3 - 1/120*r**6 + 0*r. Factor c(f).
-(f - 9)*(f - 1)*(f + 1)
Let n(o) be the first derivative of 1/48*o**4 + 1/120*o**5 + 0*o + 4*o**2 - 1/6*o**3 - 5. Let b(g) be the second derivative of n(g). Factor b(d).
(d - 1)*(d + 2)/2
Let z(g) be the second derivative of -g**7/21 - 8*g**6/15 + g**5/5 + 30*g**4 + 189*g**3 + 540*g**2 - 1912*g. Solve z(n) = 0.
-4, -3, 5
Let o be (-546)/924 + (-96)/(-88). Factor -13/2*x - o*x**2 - 15.
-(x + 3)*(x + 10)/2
Let p = 81/22 - 12139/3300. Let j(r) be the second derivative of 0 + 0*r**3 + p*r**6 - 1/60*r**4 - 9*r + 0*r**2 - 1/200*r**5. Factor j(z).
z**2*(z - 2)*(z + 1)/10
Suppose -7*g + 8 = -6*g - o, 5*g - 12 = -2*o. Let p be (-88)/(-275)*30/g. Find j such that 0*j - 8/5*j**2 - 28/5*j**3 - 8/5*j**4 + 0 + p*j**5 = 0.
-1, -1/3, 0, 2
Suppose -3*c + 12 = -0*c. Let u be (((-504)/336)/((-9)/(-120)))/(-25). Solve -12/5 + 16/5*g**3 - 16/5*g + u*g**c + 8/5*g**2 = 0.
-3, -1, 1
Let h be ((-4560)/(-665))/((-3)/(-14)). Let s be h/16*(-6)/(-4). Solve 1/2*t**s + 3/4 + 2*t + 7/4*t**2 = 0 for t.
-3/2, -1
Suppose -59 = -256*v + 709. Find y, given that 18/7*y - 12/7*y**4 + 0 - 2/7*y**5 + 12/7*y**2 - 16/7*y**v = 0.
-3, -1, 0, 1
Let h(d) be the third derivative of -3*d**7/14 - 5*d**6/6 - 13*d**5/12 - 5*d**4/12 + 2*d**2 - 509. Factor h(t).
-5*t*(t + 1)**2*(9*t + 2)
Let l(k) be the second derivative of -k**5/10 - 409*k**4/3 - 55211*k**3 + 675684*k**2 + 1912*k - 2. Determine d, given that l(d) = 0.
-411, 4
Let p = 222960 + -222957. Let -3*s**p + 16*s**5 - 17/2*s**2 + 0 + 48*s**4 + 3/2*s = 0. Calculate s.
-3, -1/2, 0, 1/4
Factor -108/7*u - 2/7*u**3 + 0 - 30/7*u**2.
-2*u*(u + 6)*(u + 9)/7
Factor -6*u**2 + 499*u - 238*u + 0*u**2 + 5*u**2 + 176 - 221*u.
-(u - 44)*(u + 4)
Let a(s) be the third derivative of s**7/945 - 31*s**6/30 - 56*s**5/27 + 31*s**4/6 + 559*s**3/27 + 55*s**2 + 16*s. Suppose a(n) = 0. What is n?
-1, 1, 559
Let p(q) be the second derivative of q**6/285 - 27*q**5/190 + 31*q**4/38 - 17*q**3/57 - 138*q**2/19 - 19*q + 11. Let p(w) = 0. Calculate w.
-1, 2, 3, 23
Let o(c) = -c**2 + 396*c + 71020. Let p be o(530). Find m such that 20/19*m**2 - 6/19*m**3 - 2/19*m**4 + p + 0*m = 0.
-5, 0, 2
Let y(n) be the third derivative of 25/24*n**4 + 0*n + 0 - 185*n**2 - 625/6*n**3 - 1/240*n**5. Factor y(f).
-(f - 50)**2/4
Let s(o) be the third derivative of o**5/120 + 89*o**4/48 + 29*o**3/2 + 275*o**2 - 5. Factor s(k).
(k + 2)*(k + 87)/2
Let t(m) be the first derivative of 25/2*m**4 - 850*m**2 - 66 + 785/9*m**3 + 5780/3*m + 1/3*m**5. Determine h, given that t(h) = 0.
-17, 2
Let d = -1732292 + 1732295. Factor 0*l**2 + 0 - 5/2*l**d + 10/3*l + 5/6*l**4.
5*l*(l - 2)**2*(l + 1)/6
Let a(s) be the second derivative of -2*s**6/15 + 666*s**5/5 - 111553*s**4/3 + 147408*s**3 - 220448*s**2 + 2*s - 2203. Find d such that a(d) = 0.
1, 332
Let w(u) be the second derivative of u**6/6 - 2*u**5 + 5*u**4/4 + 80*u**3/3 - 70*u**2 + 212*u. Let w(i