3)/15 + (-21)/(-5). Factor 0 + 0 - 5*s**d - 2*s**h + 3*s**3.
-2*s**2*(s + 1)
Find g such that 6200/3*g + 1/3*g**2 + 9610000/3 = 0.
-3100
Let g(l) be the third derivative of -l**6/420 - 19*l**5/35 - 1083*l**4/28 - 362*l**2 + l. Suppose g(y) = 0. What is y?
-57, 0
Let k(o) be the third derivative of o**7/105 + 7*o**6/60 - 161*o**5/30 + 51*o**4/4 - 12001*o**2. Factor k(c).
2*c*(c - 9)*(c - 1)*(c + 17)
Suppose -16*a + 12*a + 16 = 0. Suppose -4*o**5 - 19*o**3 + 32*o - 36*o**a - 9*o**3 + 66*o**2 - 30*o**2 = 0. Calculate o.
-8, -1, 0, 1
Let -456*j + 35 - 252 - 34*j + 574 - 5*j**2 + 643 = 0. What is j?
-100, 2
Let u be -1 + 159/33 - (-6)/33. Suppose 23 = 3*y + 5*p, u*p - 13 = -3*y + 9. Factor y*i**4 + 349*i**2 - 381*i**2 + 4*i**3 + 2*i**4 - 16*i.
4*i*(i - 2)*(i + 2)*(2*i + 1)
Let r(q) = -q**3 + 4 + 4*q - 3 - 9*q**2 - 10 + 2*q**3. Let c be r(9). Determine b, given that -6*b**3 - c + 4*b**2 + 27 + 2*b**3 = 0.
0, 1
Let -17*d + 4*d**3 + 39*d - 18*d - 4*d + 76*d**2 = 0. Calculate d.
-19, 0
Let o(q) be the first derivative of -25/6*q**3 - 30 - 27*q + 5/12*q**4 - 15*q**2. Let d(k) be the first derivative of o(k). Factor d(j).
5*(j - 6)*(j + 1)
Factor -785 + 9*z**3 + 779 + 33*z - 12*z**2 - 24*z**3.
-3*(z - 1)*(z + 2)*(5*z - 1)
Let k(w) be the third derivative of -w**7/210 + 49*w**6/120 + 69*w**5/20 + 263*w**4/24 + 53*w**3/3 + 924*w**2. Factor k(s).
-(s - 53)*(s + 1)**2*(s + 2)
Let j(b) = 9*b - 10*b + 2 + 10*b + 5. Let s be j(3). Find w such that -11*w + 2*w**2 + 34 - s + 9*w = 0.
0, 1
Factor 0 - 587/2*v**2 - 585*v - 1/2*v**3.
-v*(v + 2)*(v + 585)/2
Let y(m) = -m**3 + 14*m**2 - 29*m + 12. Let w be y(12). Let v be ((-3)/(-4))/((-18)/w). Factor 2/3*f + 1/3*f**4 + 0*f**v - 1/3 - 2/3*f**3.
(f - 1)**3*(f + 1)/3
Let y = -4227 + 4229. Let b(v) be the second derivative of -21*v + 0 - 5/24*v**4 - 5/12*v**3 + 5/2*v**y. Factor b(t).
-5*(t - 1)*(t + 2)/2
Let a = 2814590/3870031 - 2/351821. Find q such that a - 26/11*q + 6/11*q**2 = 0.
1/3, 4
Let z be (-40 - -26)*(-1)/7. Let d(x) be the first derivative of 9 - 3/8*x**4 + 1/2*x**3 + 0*x**z + 0*x. Factor d(y).
-3*y**2*(y - 1)/2
Find p, given that -2/13*p**2 + 48/13 + 10/13*p = 0.
-3, 8
Suppose -209*n = 204*n - 487*n + 222. Let f(s) be the first derivative of -4/9*s**n + 0*s - 13 - 1/3*s**2 - 1/6*s**4. Suppose f(c) = 0. What is c?
-1, 0
Let r = 119 + -114. Suppose 22*g**4 + 6*g**r - 5*g**5 - 32*g**4 = 0. What is g?
0, 10
Let v(s) = -11. Let o(m) = -m - 23. Let u(x) = o(x) - 5*v(x). Let i be u(28). Factor 2 - 18*r + 109/2*r**2 - 63*r**3 + 49/2*r**i.
(r - 1)**2*(7*r - 2)**2/2
Let l(u) be the third derivative of -u**5/360 - 2399*u**4/144 + 200*u**3/3 + u**2 + 301*u + 2. Factor l(a).
-(a - 1)*(a + 2400)/6
Let y(q) be the second derivative of -q**8/20160 + q**7/945 + 8*q**4/3 + 52*q. Let w(v) be the third derivative of y(v). Find i, given that w(i) = 0.
0, 8
Let u(t) be the third derivative of -t**7/840 + 61*t**6/480 - t**5/4 - 334*t**2 + t - 2. Factor u(k).
-k**2*(k - 60)*(k - 1)/4
Let l(n) be the first derivative of 17 - 15/2*n**2 + 5/3*n**3 - 50*n. Factor l(o).
5*(o - 5)*(o + 2)
Suppose -v = y - 6, -134*v - 5*y + 12 = -135*v. Factor -5162/3*c + 122/3*c**4 + 1682/3 + 5396/3*c**2 - 2/3*c**5 - 2036/3*c**v.
-2*(c - 29)**2*(c - 1)**3/3
Let f(b) = -7*b + 2. Suppose -5*a = -2*y + 5, 4*y + 3*a = 5*y - 3. Let p be f(y). Factor -9*o**2 + 3*o**2 - 15*o**4 - 16*o**p - 6*o - 27*o**3 - 3*o**5 + o**2.
-3*o*(o + 1)**3*(o + 2)
Let c(l) be the first derivative of 2*l**6/3 - 168*l**5/5 + 616*l**4 - 5056*l**3 + 18080*l**2 - 28800*l + 3097. Let c(s) = 0. Calculate s.
2, 10, 18
Let i be (86/(-1677))/(64/(-208)). Determine o, given that -14/3*o**2 + 53/6*o - 13/3 + i*o**3 = 0.
1, 26
Let d(v) = -6*v**3 + v**2 - 2*v - 1. Let r be d(-2). Let t be (-15)/(-6)*(-11)/(r/(-18)). Let 3*j**2 + 6*j**2 + 8*j**4 + 2*j**3 - t*j**2 = 0. Calculate j.
-1/4, 0
Let g(c) be the first derivative of -2*c**3/3 - c**2 + 171. Let p(s) = -12*s**2 + 44*s - 64. Let f(y) = 8*g(y) - p(y). Factor f(b).
-4*(b - 1)*(b + 16)
Suppose 0 = 4*t - a + 3 + 5, -5*a = 3*t - 17. Let w(h) = -h**4 - h**3 + 6*h**2 + 6*h. Let v(d) = d. Let p(y) = t*w(y) + 6*v(y). Suppose p(z) = 0. Calculate z.
-3, 0, 2
Let -2/7*d**3 + 0 + 964/7*d**2 - 962/7*d = 0. What is d?
0, 1, 481
Let n(p) be the first derivative of 4*p**3/3 + 522*p**2 - 6408*p + 3978. Factor n(i).
4*(i - 6)*(i + 267)
Let p(m) be the third derivative of m**5/210 - 11*m**4/21 + 76*m**3/7 - 107*m**2 - 4. Solve p(s) = 0 for s.
6, 38
Suppose 10 = 4*o + 2*z, z = 3*o - 0*o - 10. Let p be ((19 - 17)/(4/o))/3. Factor 1/6*c**2 - p*c + 0.
c*(c - 3)/6
Let r(h) be the third derivative of -5*h**8/224 + 113*h**7/168 - 233*h**6/32 + 677*h**5/24 + 205*h**4/8 - 105*h**3 + 3*h**2 + 174*h. Let r(b) = 0. What is b?
-2/3, 1/2, 6, 7
Suppose 20 = -2*c - 2*x, 0 = -4*c + 2*x + 95 - 63. Find h, given that 16 - 1/2*h**3 + 15*h**c + 63/2*h = 0.
-1, 32
Solve -1995/8*g - 3/8*g**2 - 249 = 0.
-664, -1
Let n = 543045 + -7609951/14. Let i = n - -1115/2. Find r such that i + 2/7*r**2 + 44/7*r = 0.
-11
Solve -81/2 - 33/4*s - 1/4*s**2 = 0 for s.
-27, -6
Let c(i) be the first derivative of 141*i**4/8 + 109*i**3/2 + 231*i**2/4 + 45*i/2 + 162. What is k in c(k) = 0?
-1, -15/47
Factor -276*w - 824/3*w**3 - 2/3*w**4 + 0 + 1654/3*w**2.
-2*w*(w - 1)**2*(w + 414)/3
Factor -q**2 - 67846*q + 0*q**2 + 68386*q - 2*q**2.
-3*q*(q - 180)
Solve 36/13*t**5 + 184/13*t**3 + 246/13*t**4 - 720/13*t + 352/13 - 1098/13*t**2 = 0.
-4, -1, 1/3, 11/6
Let d(i) = -9*i**2 - 235*i - 3610. Let y(g) = -4*g**2 - 152 + 9*g - 127*g - 1652. Let h(s) = -2*d(s) + 5*y(s). Suppose h(q) = 0. What is q?
-30
Let m = -3376 + 3376. Let z(w) be the second derivative of w**4 + 0 + w + m*w**2 - 2/3*w**3 - 3/5*w**5 + 2/15*w**6. Factor z(k).
4*k*(k - 1)**3
Suppose -417 = -25*x + 833. Factor 5*d**2 - 20 - 3*d**2 + x*d - 4 - 24 - 4*d**2.
-2*(d - 24)*(d - 1)
Let x(i) = -150*i**3 - 55*i + 15 + 78*i + 73*i + 21*i**2. Let y(k) = 75*k**3 - 10*k**2 - 48*k - 7. Let g(a) = 5*x(a) + 9*y(a). Factor g(r).
-3*(r - 1)*(5*r + 2)**2
Let r = 421653 + -421651. Find i, given that -4/5*i**r - 980 + 56*i = 0.
35
Let 43*f**4 - 87*f**4 - 4*f**5 + 1196*f**2 - 565*f - 449*f - 136*f**3 + 2*f**5 = 0. Calculate f.
-13, 0, 1, 3
Let g(d) = 882*d - 1. Let t be g(1). Let x = t + -2641/3. Factor -28/5*o**2 - 64/15 + 64/5*o + x*o**3.
2*(o - 4)**2*(5*o - 2)/15
Factor -43590 + 3*o**2 + 186847 + 1032*o - 54505.
3*(o + 172)**2
Suppose 4*r + 6*v + 6987 = 3*v, 0 = 5*v + 5. Let n = 12224/7 + r. Find t, given that 6/7*t**4 + 4/7*t**3 - 6/7*t + n*t**5 - 2/7 - 4/7*t**2 = 0.
-1, 1
Let c(v) be the second derivative of -1/21*v**7 - 40*v - 4/15*v**6 + 2/3*v**4 + 0*v**2 + 4/3*v**3 + 0 - 3/10*v**5. Let c(s) = 0. Calculate s.
-2, -1, 0, 1
Let p(f) = f**3 - 10*f**2 + 38*f - 999. Let a be p(13). Solve -4/11 + 6/11*t - 2/11*t**a = 0.
1, 2
Let i be 7 - (-42)/(-11718)*1891. Solve -4/9*v**2 + 0 - i*v = 0.
-1/2, 0
Let n(p) = p**3 + 3*p**2 + p + 6. Let q be n(-3). Let b be (4 - -2) + q/((-33)/44). Solve -4/9 + 2/9*o**3 - 2/9*o + 4/9*o**b = 0 for o.
-2, -1, 1
Let f be 4/26 + 2128/364. Suppose 5*u = f + 4. Find p, given that -1/3*p**u + 1/9*p**4 - 1/9*p**3 - 2/9 + 5/9*p = 0.
-2, 1
Let l(n) = 30*n**2 + 265*n + 2610. Let h(t) = t**2 + t - 1. Let j(r) = -25*h(r) + l(r). Factor j(z).
5*(z + 17)*(z + 31)
Suppose 5*m - 16 - 24 = 0. Suppose -23 - 9 = -m*a. Let 9*f**2 + 10*f**2 - 29*f**2 + 6*f**2 + a = 0. Calculate f.
-1, 1
Let o(v) be the first derivative of 2/35*v**5 + 160/21*v**3 - 9/7*v**4 - 91 - 162/7*v + 18/7*v**2. Determine c so that o(c) = 0.
-1, 1, 9
Let n(k) be the first derivative of k**6/60 - k**4/24 - 51*k - 2. Let r(j) be the first derivative of n(j). Factor r(b).
b**2*(b - 1)*(b + 1)/2
Determine t, given that 0 + 10*t**3 + 0*t + 8*t**2 + 19/9*t**4 + 1/9*t**5 = 0.
-12, -6, -1, 0
Let k be 1397/(-40) - -1 - (-1)/4. Let j = k - -295/8. Factor -16/5 + j*d - 4/5*d**2.
-4*(d - 2)**2/5
Suppose -b - 6*b = -14. Solve 256*y + 4 + 2*y**3 - 252*y - y**b - 3*y**3 = 0 for y.
-2, -1, 2
Let j be 462/(-210) - (-2)/(-10)*-1. Let h be ((-275)/(-150))/(j/(-4)). Factor 0 + h*b**2 - 1/3*b**4 + 2*b + 4/3*b**3.
-b*(b - 6)*(b + 1)**2/3
Let r(o) be the second derivative of 27/20*o**5 - 1/10*o**6 + 0*o**2 - 11 + 9/4*o**4 - 3/14*o**7 - o + o**3. Find b such that r(b) = 0.
-1, -1/3, 0, 2
Suppose 3 = 49*t - 