of -y**5/5 + 30*y**4 + 182*y**3/3 - 313*y. Determine p so that n(p) = 0.
-1, 0, 91
Let k(w) be the second derivative of -17*w**5/60 - 3*w**4/2 - 2*w**3/3 + 22*w**2 + 17*w + 1. Let s(q) be the first derivative of k(q). Factor s(c).
-(c + 2)*(17*c + 2)
Let u = 228 + -224. Suppose -5*a**u + 0*a + 10*a**4 - 30*a - 35*a**2 = 0. What is a?
-2, -1, 0, 3
Let y(j) be the first derivative of 3/8*j**2 - 3/16*j**4 - 1/4*j + 1/12*j**3 - 2. Factor y(t).
-(t - 1)*(t + 1)*(3*t - 1)/4
Let v = -721 - -721. Suppose v = 4*o + 3*j + 7, 25*o - 5*j = 29*o + 17. Solve 6*h - 9/2*h**3 + 21/4*h**5 - 57/4*h**4 + 0 + 21*h**o = 0 for h.
-1, -2/7, 0, 2
Suppose 114*l = 37 - 254 + 673. What is h in 18*h**2 - 96/5*h**3 + 48/5*h**l - 39/5*h - 9/5*h**5 + 6/5 = 0?
1/3, 1, 2
Let r(b) be the third derivative of b**5/60 + 15*b**4/8 + 22*b**3/3 - 194*b**2. What is u in r(u) = 0?
-44, -1
Let a(l) = -432*l**2 + 6388*l - 4268. Let i(w) = -111*w**2 - 1. Let s(r) = -a(r) + 4*i(r). Suppose s(u) = 0. Calculate u.
-533, 2/3
Suppose 24 - 55 - 5*u**2 + 12*u - 53 - 21 + 38*u = 0. Calculate u.
3, 7
Let d(t) be the third derivative of -t**6/30 + 74*t**5/5 + 75*t**4/2 - 892*t**3/3 - 1534*t**2. Suppose d(g) = 0. What is g?
-2, 1, 223
Factor 13*o**3 + 4*o**3 - 22*o**3 + 8*o**2 + 9*o**3 - 80*o - 6 + 102.
4*(o - 2)**2*(o + 6)
Let v(b) be the first derivative of -2*b**5/25 - 309*b**4/5 - 2286. Find z such that v(z) = 0.
-618, 0
Let j(l) = 5*l**3 - 4*l**2 + 6*l. Let g(c) = -5*c**2 - 398*c + 6*c**3 + 405*c + 0*c**2. Let b(x) = -6*g(x) + 7*j(x). Factor b(t).
-t**2*(t - 2)
Let y be (0 + (-2)/(-5))/(3951/26340). Factor 2/3*k**3 + 0 + y*k - 8/3*k**2.
2*k*(k - 2)**2/3
Let v(c) be the first derivative of 784/9*c + 1/27*c**6 + 212 + 700/9*c**2 + 8/9*c**5 + 940/27*c**3 + 145/18*c**4. What is m in v(m) = 0?
-7, -2
Let l(a) be the third derivative of -a**8/336 - a**7/35 + 8*a**6/15 + 199*a**5/30 - 21*a**4/8 - 196*a**3/3 + a**2 - 34*a + 8. Determine d so that l(d) = 0.
-7, -1, 1, 8
Let j(t) be the first derivative of -t**6/9 - 8*t**5/15 + t**4 + 8*t**3 + 9*t**2 + 734. Suppose j(i) = 0. What is i?
-3, -1, 0, 3
Let q(n) be the second derivative of n**6/10 - 3*n**5/5 - 19*n**4/4 - 7*n**3 - 3379*n. Factor q(m).
3*m*(m - 7)*(m + 1)*(m + 2)
Let s(g) = 6*g + 497. Let x be s(-77). Let n be (-20)/x - 64/(-112). Factor n - 3/2*o - 1/2*o**3 + 2*o**2.
-o*(o - 3)*(o - 1)/2
Let x(h) be the third derivative of 0*h - 24*h**3 - 1/60*h**5 + 55*h**2 - h**4 + 0. Factor x(w).
-(w + 12)**2
Let u be ((-49)/84*-4)/((-42)/(-36)). Factor -112/9*w - 58/9*w**u + 8/9.
-2*(w + 2)*(29*w - 2)/9
Let i(q) = 2*q**3 - 6*q**2 + 9*q - 15. Let t be i(3). Let k(x) be the first derivative of -1/7*x**4 - t - 2/7*x**2 + 8/21*x**3 + 0*x. Factor k(f).
-4*f*(f - 1)**2/7
Let s(v) = -3*v**5 - 8*v**4 - 12*v**3 - 12*v**2 - 5*v + 5. Let d(q) = -q + 1076*q**5 - 1 + 2 + 2*q**3 - 1077*q**5. Let g(r) = -5*d(r) + s(r). Factor g(i).
2*i**2*(i - 6)*(i + 1)**2
Suppose 28 - 20 = -8*k. Let q(x) = x**3 + 2*x**2 - x - 1. Let l(w) = 9*w**3 + 42*w**2 + 71*w + 43. Let h(v) = k*l(v) + 5*q(v). Factor h(d).
-4*(d + 1)*(d + 3)*(d + 4)
Let d(j) = 9*j**2 + 46*j + 9. Let p be d(-5). Let n(f) = -9*f**2 + 25*f + 30. Let s(i) = -6*i**2 + 24*i + 30. Let k(o) = p*s(o) - 3*n(o). Factor k(x).
3*(x + 2)*(x + 5)
Suppose 0*s = 5*s + 7*t - 0*t, 0 = 3*s + 2*t. Let o(j) be the third derivative of 1/6*j**4 + 1/6*j**5 - 1/20*j**6 + 0*j**3 + 0 + 8*j**2 + s*j. Factor o(r).
-2*r*(r - 2)*(3*r + 1)
Let h(r) be the first derivative of -751089429*r**4/10 + 3305124*r**3/5 - 10908*r**2/5 + 16*r/5 - 2919. Determine c, given that h(c) = 0.
2/909
Let f = -161 + -259. Let x be (f/1225)/(1/(-10)*2). Suppose 0*q - 3/7*q**3 + 0 + x*q**2 = 0. Calculate q.
0, 4
Let s be (-2)/(-4 + 6/2). Factor 6*a**3 - 3*a**4 + 14*a**3 - s*a**4 - 15*a**2.
-5*a**2*(a - 3)*(a - 1)
Let w(r) be the second derivative of -3*r**5/40 - 7*r**4/2 + r**3/4 + 21*r**2 + 1439*r. Factor w(u).
-3*(u - 1)*(u + 1)*(u + 28)/2
Let d = 246 + -247. Let u be ((-2 - 0)/6*1)/d. Determine i so that 0*i - 2/3*i**2 - u*i**3 + 0 = 0.
-2, 0
Let p(q) = -30*q**2 + 1058*q + 3898. Let z(a) = -4*a**2 + 151*a + 557. Let w(l) = -6*p(l) + 44*z(l). Factor w(n).
4*(n + 4)*(n + 70)
Let f = -2/1671007 - -123654536/15039063. Determine m so that 4/9 + 136/9*m**2 + 22/3*m**3 + f*m = 0.
-1, -2/33
Let z(p) = p**4 + 13*p**3 + 13*p**2 - 47*p + 36. Let i(k) = -k**3 - k**2 - 6*k. Let j(n) = 4*i(n) + 2*z(n). Factor j(m).
2*(m - 1)**2*(m + 4)*(m + 9)
Let b(r) be the second derivative of -r**4/48 + 64*r**3/3 - 511*r**2/8 + 4536*r. Solve b(i) = 0.
1, 511
Let s(p) be the first derivative of -p**3/3 - 185*p**2 - 34225*p + 920. Suppose s(q) = 0. Calculate q.
-185
Suppose 5*r = 119*r + 14*r - 256. Let f(i) be the first derivative of -375/2*i**r - 90*i - 280/3*i**3 + 245/4*i**4 - 24. Factor f(b).
5*(b - 2)*(7*b + 3)**2
Suppose 14*a - 54 + 39 - 41 = 0. Let o(k) be the second derivative of 0 - 10*k - 8/5*k**2 - 1/15*k**a - 2/3*k**3. Factor o(w).
-4*(w + 1)*(w + 4)/5
Let q(f) = -10*f + 44. Let a be q(5). Let h be 3 + 0 - (0 - a/4). Solve -3/4*p**2 + 0 - h*p**4 + 0*p - 27/8*p**3 = 0.
-2, -1/4, 0
Let f(y) be the third derivative of y**5/75 - 617*y**4/120 + 77*y**3/15 + 35*y**2 - 2*y. Solve f(d) = 0 for d.
1/4, 154
Find b such that 9057241*b**2 - 2004 - 9057237*b**2 + 131*b - 2604 - 71*b + 124*b = 0.
-64, 18
Let b(m) be the second derivative of 3*m**5/40 - m**4 + 19*m**3/4 - 9*m**2 + 3*m - 521. Suppose b(f) = 0. Calculate f.
1, 3, 4
Suppose -3*l + 2*m - 39 = 0, -3*l + 57 = -4*m + 96. Let w be (-6)/(-14) - (325/7)/l. Let -4/5*v**3 + 0*v + 16/5*v**2 - 2/5*v**w + 0 = 0. Calculate v.
-4, 0, 2
Let n(u) = 12*u + 112. Let q be n(-9). Factor -42 + 31*s**3 - q*s**3 + 12*s**2 + 98*s - 155*s.
3*(s + 1)**2*(9*s - 14)
Let h(d) be the second derivative of -d**4/96 + 61*d**3/8 - 33489*d**2/16 - 125*d - 5. Factor h(x).
-(x - 183)**2/8
Let n = 1045/58 + -508/29. Find o such that n*o**2 - 15/2 + o = 0.
-5, 3
Let o = 68398/136797 - -1/273594. Solve -o*y**2 - 13 - 27/2*y = 0.
-26, -1
Let n(y) be the second derivative of y**4/4 - 9*y**3 + 135*y**2/2 + 1236*y. Let n(p) = 0. Calculate p.
3, 15
What is i in -25 + 143*i + 202 + 171*i**2 - 494*i + 1492*i**3 - 1489*i**3 = 0?
-59, 1
Let i = -84460 - -84462. Let 0*q**i + 0 + 0*q - 2/7*q**4 - 8/7*q**3 = 0. Calculate q.
-4, 0
Suppose 103*h = -539*h. Factor h*u + 0 - 972/7*u**2 - 3/7*u**4 - 108/7*u**3.
-3*u**2*(u + 18)**2/7
Let f(d) be the first derivative of d**4/34 - 16*d**3/51 + 16*d**2/17 - 4138. Factor f(c).
2*c*(c - 4)**2/17
Suppose -2 = 5*v - 5*t - 27, 0 = -3*t - 9. Let n(a) be the second derivative of 0 - 14*a + 4/15*a**3 + 0*a**v + 9/50*a**5 + 2/5*a**4. Factor n(c).
2*c*(3*c + 2)**2/5
Suppose -1 + 0 = -4*k - 5*m, -4*m = 12. Let g = 1/13921 - -41761/27842. Factor 0 + 1/2*f**k + 0*f - g*f**3 + f**2.
f**2*(f - 2)*(f - 1)/2
Factor -2529*z + 6395841/4*z**2 + 1.
(2529*z - 2)**2/4
Let c = 601/15 - 574/15. What is r in -3*r**3 + 9/5*r**2 + 0 + 12/5*r - c*r**4 + 3/5*r**5 = 0?
-1, 0, 1, 4
Factor 25*i**3 - 18*i + 50*i + 10*i**4 + 40*i**2 - 5*i**4 - 7*i - 5*i.
5*i*(i + 1)*(i + 2)**2
What is r in 24*r - 686 + 686 + 13*r - 3*r + 2*r**2 = 0?
-17, 0
Suppose 0 = -4*q - d + 80, -q + 5*d + 29 = 3*d. Suppose 4*o = o + q*o. Determine g so that -1/2*g**3 + 0 + 1/2*g**2 + o*g = 0.
0, 1
Let z(w) = -w**4 + w**3 - w + 1. Let c = 0 - -8. Let a(y) = 28*y**4 + 60*y**3 + 84*y**2 + 52*y. Let d(l) = c*z(l) + a(l). Let d(q) = 0. Calculate q.
-1, -2/5
Factor -843*d**3 + 14*d - 2*d - 267*d**3 - 702*d**2 + 57*d**2 + 453*d**3.
-3*d*(d + 1)*(219*d - 4)
Suppose -2*g - j + 12 = 0, g + 3*g - 3*j - 14 = 0. Determine q so that g*q**4 + 12*q**3 - 5*q**2 - 55*q - 14*q**3 + 16*q**3 + 41*q**3 = 0.
-11, -1, 0, 1
Let a(h) be the third derivative of -h**6/60 - 47*h**5/120 + 121*h**4/48 - 35*h**3/6 - 2202*h**2 + 1. Solve a(d) = 0.
-14, 1, 5/4
Suppose 67*m + 1833 + 4539 = 303*m. Let p(k) be the first derivative of -5/3*k**3 + 0*k + m - 15/2*k**2. Factor p(n).
-5*n*(n + 3)
Let d(w) be the third derivative of -5/64*w**4 + 3/160*w**6 - 3/8*w**3 + 46*w**2 + 1/20*w**5 + 0 - 1/280*w**7 + 0*w - 1/896*w**8. Let d(f) = 0. Calculate f.
-3, -1, 1, 2
Let o(s) be the second derivative of s**6/45 - 3*s**5/10 + 5*s**4/3 - 5*s**3/6 + 2*s**2 + 136*s. Let q(v) be the second derivative of o(v). Factor q(f).
4*(f - 2)*(2*f - 5)
Let o(x) b