0/9*o**5 - 178/9*o**3 + 74/9*o**4 - 4*o = 0.
0, 2/5, 1, 3
Let p(m) be the second derivative of -m**5/120 - m**4/4 - 3*m**3 + 63*m**2/2 + 92*m. Let y(h) be the first derivative of p(h). Factor y(g).
-(g + 6)**2/2
Let j(s) be the first derivative of 117 + 0*s - 24*s**2 + 8/3*s**3 - 1/12*s**4. Factor j(w).
-w*(w - 12)**2/3
Let t(h) = h. Let y be t(-1). Let j be -2 - (-9 - (-5 - y)). Determine s so that 34*s + 276*s**j + 0*s + 7*s**5 + 30*s + s**5 + 320*s**2 + 82*s**4 = 0.
-4, -2, -1/4, 0
Let t(u) be the first derivative of u**5 - 115*u**4/2 + 865*u**3/3 - 530*u**2 + 420*u + 2931. Let t(h) = 0. What is h?
1, 2, 42
Let i be ((-177)/7847*19)/((-2)/(-1))*(-8)/6. Find f, given that -4/7*f + 4/7*f**3 - 2/7*f**2 + i*f**4 + 0 = 0.
-2, -1, 0, 1
Let v be (-78)/14 + 5 + 26913/21. Let r = v + -2561/2. Suppose -1/6*m**2 - r*m**3 - 1/6*m**4 + 1/2*m + 1/3 = 0. What is m?
-2, -1, 1
Let m(o) be the first derivative of o**4/78 + 10*o**3/39 + 25*o**2/13 - 49*o + 60. Let z(y) be the first derivative of m(y). Let z(x) = 0. Calculate x.
-5
Let u(q) = q**3 - 17*q**2 - 45*q + 85. Let b(t) = 2*t**3 - 13*t**2 - 45*t + 86. Let f(v) = 4*b(v) - 5*u(v). Factor f(s).
3*(s - 1)*(s + 3)*(s + 9)
Let g(a) be the third derivative of -a**5/12 - a**4/24 - 25*a**3/3 + 56*a**2. Let s(q) = q**2 + 12. Let j(u) = -2*g(u) - 9*s(u). Factor j(v).
(v - 2)*(v + 4)
Let f(a) be the second derivative of a**4/36 + 3895*a**3/9 + 15171025*a**2/6 + 12387*a. Suppose f(y) = 0. What is y?
-3895
Let f(v) = v**5 - v**4 + v**2 - 2*v + 2. Let n(b) = -8*b**5 - 1628*b**4 - 3252*b**3 - 1628*b**2 + 8*b - 8. Let u(m) = -4*f(m) - n(m). Solve u(o) = 0 for o.
-406, -1, 0
Suppose 0 = -111*h + 95*h - 32. Let j be 5 - (17/h)/(66/(-36)). Suppose 4/11*g**2 - j - 2/11*g**3 + 2/11*g = 0. What is g?
-1, 1, 2
Let f(o) be the first derivative of 2/15*o**3 + 45 - 13/5*o**2 + 0*o. Suppose f(x) = 0. What is x?
0, 13
Let -50 - 5/2*s**2 - 215/4*s + 5/4*s**3 = 0. Calculate s.
-5, -1, 8
Factor -20 - 6873*a**2 + 13796*a**2 - 5158*a**2 - 1745*a.
5*(a - 1)*(353*a + 4)
Let g(i) be the second derivative of i**7/14 - 4*i**6/5 + 39*i**5/20 - 3*i**4/2 + 7496*i. Suppose g(f) = 0. Calculate f.
0, 1, 6
Suppose -4*a + 3*q = -0*q + 149, 0 = -5*a - 2*q - 169. Let n = a + 37. Find t, given that -t**2 + 0*t**2 - t**4 - 1 + 0*t**n + 3*t**2 = 0.
-1, 1
Let h be ((-21)/49)/(2/(-14)). Let w be 48/(-30) - (h - 5). Determine c, given that -2/5*c**3 - 2/5*c**4 + 0*c + w*c**2 + 0 + 2/5*c**5 = 0.
-1, 0, 1
Let n(y) be the second derivative of -15/2*y**2 + 0*y**3 + 1/540*y**5 + 0 + 1/1080*y**6 + 0*y**4 + 3*y. Let t(j) be the first derivative of n(j). Factor t(o).
o**2*(o + 1)/9
Let -2/9*y**3 - 28*y**2 - 166/3*y - 248/9 = 0. What is y?
-124, -1
Let n(q) be the first derivative of 5/2*q**2 + q**3 + 91 - 2*q. Find o, given that n(o) = 0.
-2, 1/3
Let q(c) be the first derivative of -2/3*c**3 + 8*c - 3*c**2 - 50. Factor q(m).
-2*(m - 1)*(m + 4)
Let q = -94967/10 + 9497. Let m(u) be the second derivative of 2/3*u**4 + 0 + 0*u**6 + 1/2*u**3 - 1/42*u**7 + 0*u**2 - 13*u + q*u**5. Factor m(p).
-p*(p - 3)*(p + 1)**3
Let y be 1*40/5*1. Suppose -20 = -y*q + 4. Factor 3/5*k**4 - 12/5*k - 12/5 + 12/5*k**q + 9/5*k**2.
3*(k - 1)*(k + 1)*(k + 2)**2/5
Let p(v) = v**3 + 3*v**2 - v - 1. Let r be p(-3). Suppose -41*h + 555 = -142. Factor -16*z**3 - 8*z - h*z**3 + 39*z**3 + r*z**4.
2*z*(z - 1)*(z + 2)**2
Let i be ((-320)/192)/((-10)/(-36)). Let t be (0 - i/(-4)) + (-138)/(-84). Suppose -3/7*p**2 - 8/7*p + t*p**4 - 4/7 + 2/7*p**3 = 0. Calculate p.
-2, -1, 2
Let a(w) = -w**2 + w + 1. Let b(c) = -5*c**2 + 8*c + 6. Suppose 2*f - 16 + 8 = 0. Let q be f/2 - (-2 - (3 + -1)). Let r(l) = q*a(l) - b(l). Factor r(n).
-n*(n + 2)
Let k(h) be the third derivative of h**8/168 + 26*h**7/735 + h**6/21 - 4*h**5/105 + 1802*h**2. Solve k(w) = 0 for w.
-2, 0, 2/7
Let 2/9*w**4 + 162901250/9 - 760/9*w**3 - 6859000/9*w + 36100/3*w**2 = 0. What is w?
95
Let i = 1079 - 638. Let t = i + -438. Solve -3*c**3 + 3/2*c**5 - 3*c**4 + 6*c**2 - t + 3/2*c = 0.
-1, 1, 2
Let s = -169 - -192. Let -381*o**3 + 67*o**4 + s*o**4 + 438*o**2 - 60*o - 15 - 1 - 8 = 0. What is o?
-1/6, 2/5, 2
Let b(a) = 88*a**2 + 1386*a - 4. Let o(s) = 41*s**2 + s - 2. Let w(i) = b(i) - 2*o(i). Find r such that w(r) = 0.
-692/3, 0
Let y = 1391/384 - -673/384. Solve y*k - 9/8*k**2 + 5/4 = 0 for k.
-2/9, 5
Let r(s) be the first derivative of -s**4/6 + 652*s**3/3 - 79707*s**2 - 3052. Factor r(y).
-2*y*(y - 489)**2/3
Let z be (6/8)/(2/32*-1). Let u = z - -12. Find w, given that u*w**4 + 2*w**5 - w**2 + 4*w**3 - 6*w**4 + w**4 = 0.
0, 1/2, 1
Factor 8*z**5 - 10*z**5 + 11791*z**3 - 62658*z + 126024*z**2 - 29605*z**3 - 46262*z**3 + 712*z**4.
-2*z*(z - 177)**2*(z - 1)**2
Factor 8*h**3 - 82*h**3 - 16789*h**2 - h**4 + 16941*h**2.
-h**2*(h - 2)*(h + 76)
Suppose 7764 = 51*c - 63*c. Let j = 647 + c. Solve 6/5*z**4 + 18/5*z**3 - 12/5*z - 6/5*z**2 + j - 6/5*z**5 = 0.
-1, 0, 1, 2
Let z(i) = 711*i + 61861. Let s be z(-87). Factor 4*t**2 + 12/7*t + 4/7*t**s + 0 + 20/7*t**3.
4*t*(t + 1)**2*(t + 3)/7
Let q be -3 - -6 - (3 - 1) - -1. Let c be 3 - (-2 + 1 + q). Factor -24/17*m - 2/17*m**c - 72/17.
-2*(m + 6)**2/17
Let a = 5985 - 5981. Let d(t) be the third derivative of 1/70*t**5 - 10*t**2 + 0 + 0*t + 11/14*t**a + 121/7*t**3. Find f, given that d(f) = 0.
-11
Let 2/9*u**2 + 460/9 - 22/3*u = 0. Calculate u.
10, 23
Suppose n - 3 = -2*d, 9 = 7*d - 6*d + 3*n. Factor -15*i + 21*i**2 - i**3 + d*i**3 + 3 - 8*i**3 + 0*i**3.
-3*(i - 1)**2*(3*i - 1)
Let h(x) = 2*x**2 - 480*x. Let r be h(0). Let k(p) be the third derivative of -8*p**2 + 0 + 1/180*p**5 - 1/12*p**4 + 5/18*p**3 + r*p. Factor k(o).
(o - 5)*(o - 1)/3
Let x(z) = -z - 14. Let w be x(-17). Let 3*v**3 - v**w + 3*v**3 - 5*v**3 - 96*v**2 + 2*v**3 = 0. Calculate v.
0, 48
Factor 90/7*p - 3/7*p**2 + 648/7.
-3*(p - 36)*(p + 6)/7
Let o(k) = 15*k**2 + 21*k - 36. Let u(f) = 4*f**2 - 2*f - 2. Let c(h) = -5*o(h) + 20*u(h). Determine a, given that c(a) = 0.
1, 28
Find g such that 146/5*g**3 + 30*g**2 - 504/5*g - 216/5 - 2*g**5 - 14/5*g**4 = 0.
-3, -2/5, 2, 3
Let y = 30392/31 - 150348/155. Factor -y*z**2 + 44/5*z**3 + 8/5*z + 0.
4*z*(z - 1)*(11*z - 2)/5
Let d(a) = -a**3 + 4*a**2 + 13*a - 2. Suppose -5*u - 21 = -l, -5*l + 4*u + 7 + 35 = 0. Let s be d(l). Factor 42*t - s*t**2 - 40 - 2*t - 60.
-4*(t - 5)**2
Let h(d) be the third derivative of 19*d**2 + 0*d**4 - 1/1200*d**6 + 0 + 19/600*d**5 + 0*d**3 + 0*d. Let h(k) = 0. Calculate k.
0, 19
Suppose -6 - 17 = -5*u - 8. Let y(c) be the first derivative of c**2 + 1/3*c**u - 4 + c. Suppose y(b) = 0. What is b?
-1
Let z be (-3)/6*(4/(-9) + 28/63). Let b(u) be the first derivative of -1 + 4/21*u**3 + z*u**2 + 5/14*u**4 + 0*u. Factor b(t).
2*t**2*(5*t + 2)/7
Let g(i) = -i + 2. Let v(s) = -4*s**2 + 40*s - 8. Let f be (3/4)/((-33)/(-44)). Let b(c) = f*v(c) + 4*g(c). Factor b(k).
-4*k*(k - 9)
Let n(g) be the second derivative of -g**5/15 - g**4/6 + 98*g**2 - 129*g. Let q(v) be the first derivative of n(v). Factor q(z).
-4*z*(z + 1)
Let q(s) = 19*s**3 - 8338*s**2 - 16314*s + 24589. Let v(u) = -3*u**3 + 1666*u**2 + 3263*u - 4918. Let z(j) = -2*q(j) - 11*v(j). Factor z(a).
-5*(a - 1)*(a + 3)*(a + 328)
Suppose 52*x - 55*x + 72 = 0. Solve -4*m**5 - 32*m**2 + x*m**3 + 12*m - 1577*m**4 + 1577*m**4 = 0 for m.
-3, 0, 1
Suppose -4*j = 3*j. Suppose -i + 3*i = 3*t + 26, -i - 3*t + 13 = j. Factor -7*a**2 - 18*a**3 - i*a**2 + 4*a**3 - 15*a**4 - 26*a**3.
-5*a**2*(a + 2)*(3*a + 2)
Let b(g) be the first derivative of g**5/10 - 9*g**4/2 + 133*g**3/6 - 81*g**2/2 + 32*g + 963. Factor b(c).
(c - 32)*(c - 2)*(c - 1)**2/2
Let a = -1497330 - -1497333. Suppose 153*c**a + 3/2*c**4 + 7803/2*c**2 + 0 + 0*c = 0. Calculate c.
-51, 0
Let s = -9852 - -9856. Let t(i) be the third derivative of 0 - 7*i**2 + 3/40*i**s - 1/100*i**5 + 0*i - 1/5*i**3. Factor t(k).
-3*(k - 2)*(k - 1)/5
Let i(h) = -231*h**2 + 1123*h + 3407. Let r(t) = -107*t**2 + 561*t + 1704. Let f(s) = 6*i(s) - 13*r(s). Solve f(u) = 0.
-3, 114
Let k(n) = 44*n**2 + 276*n - 575. Let s(a) = -146*a**2 - 826*a + 1726. Let p(w) = -20*k(w) - 6*s(w). Determine b so that p(b) = 0.
-143, 2
Let b(y) be the third derivative of -y**5/240 - 45*y**4/16 - 133*y**3/3 + 3*y**2 - 1985*y. Let b(k) = 0. Calculate k.
-266, -4
Solve -70*k + 54*k - 259*k**2 + 944 + 4*k**3 + 23*k**2 = 0 for