(-21 - -21). Factor p*y**2 - 8/3 + 0*y.
2*(y - 2)*(y + 2)/3
Let 245/4*j**2 - 5/4*j**3 + 720 - 780*j = 0. Calculate j.
1, 24
Let p be ((-138)/(-24035)*19)/((-4)/(60/(-9))). Factor -p*t**2 - 18/11 + 12/11*t.
-2*(t - 3)**2/11
Let t(j) be the second derivative of -j**5/4 + 5*j**4/6 + 5*j**3/2 - 355*j. Factor t(u).
-5*u*(u - 3)*(u + 1)
Let f(t) be the second derivative of -1/120*t**5 + 0*t**2 + 0*t**3 - 30*t + 0 + 0*t**4. Factor f(v).
-v**3/6
Suppose -2 + 1/4*m**3 - 15/4*m - 3/2*m**2 = 0. What is m?
-1, 8
Let l be 1 - ((-44)/20 + 3). Factor 0 - 1/5*y**5 - 3/5*y**4 - l*y**2 - 3/5*y**3 + 0*y.
-y**2*(y + 1)**3/5
Suppose l - 4 = -1. Let -l*x**2 + 3*x + 3*x**2 - 5*x**2 = 0. What is x?
0, 3/5
Let w(p) be the second derivative of -p**5/15 - 5*p**4/6 - 4*p**3 + 13*p**2 - 18*p. Let m(q) be the first derivative of w(q). Factor m(r).
-4*(r + 2)*(r + 3)
Let y(k) = -45*k - 4500. Let h be y(-100). Factor x**2 - 1/3*x**4 + 2/3*x**3 + 0*x + h.
-x**2*(x - 3)*(x + 1)/3
Let h(z) be the third derivative of z**7/6300 + z**4/4 + 10*z**2. Let j(u) be the second derivative of h(u). Factor j(d).
2*d**2/5
Let m(w) be the third derivative of -w**9/40320 + w**8/10080 + w**7/2016 - w**6/720 - w**5/5 + w**2. Let r(j) be the third derivative of m(j). Factor r(u).
-(u - 2)*(u + 1)*(3*u - 1)/2
Let a(n) be the first derivative of -24/5*n + 42/5*n**2 + 3/4*n**4 - 23 - 22/5*n**3. Factor a(j).
3*(j - 2)**2*(5*j - 2)/5
Let l(c) be the second derivative of -c**7/1960 - c**6/252 - c**5/280 - 23*c**3/6 - 10*c. Let d(y) be the second derivative of l(y). What is p in d(p) = 0?
-3, -1/3, 0
Let d(r) = r + 0*r - 1 + 7 + 8*r**2 - 3*r. Let i(w) = -w**2 - w. Let y(h) = -d(h) - 6*i(h). Let y(s) = 0. Calculate s.
1, 3
Let n(g) be the third derivative of -1/252*g**8 - 1/90*g**7 - 1/180*g**6 + 36*g**2 + 0*g + 0*g**4 + 0*g**3 + 0 + 1/180*g**5. Determine x, given that n(x) = 0.
-1, 0, 1/4
Let z(f) be the second derivative of f**7/98 + 4*f**6/35 + 3*f**5/7 + 5*f**4/14 - 3*f**3/2 - 27*f**2/7 - 31*f. Suppose z(t) = 0. Calculate t.
-3, -2, -1, 1
Factor 9/4*a**4 + 13/2*a**2 - 2*a + 0 + 43/4*a**3.
a*(a + 1)*(a + 4)*(9*a - 2)/4
Find h such that -h**3 - 20*h**3 + 3*h**3 + 9*h**3 + 4*h**2 + 5*h**3 = 0.
0, 1
Factor -392/19 - 1120/19*c - 1010/19*c**2 + 50/19*c**4 - 2/19*c**5 - 230/19*c**3.
-2*(c - 14)**2*(c + 1)**3/19
Let y(v) be the third derivative of v**5/240 + 5*v**4/48 - 589*v**2. Factor y(f).
f*(f + 10)/4
Solve -11273 - 254*d - 5317 - 130*d - 25*d**2 + 23*d**2 - 1842 = 0.
-96
Suppose -170*l = -223 - 163 - 294. Determine w, given that -15/2*w**l + 3*w**3 - 9/2*w**5 - 3/2 + 3/2*w + 9*w**2 = 0.
-1, 1/3, 1
Let b(f) be the first derivative of 14*f**2 - 19/4*f**4 - 3 + 2*f**3 - 7/5*f**5 - 8*f. Factor b(l).
-(l - 1)*(l + 2)**2*(7*l - 2)
Suppose 10 = 5*f, 0*f - 3*f = -p - 4. Factor 8*t + 2*t**4 + 7*t + p*t**3 - 15*t.
2*t**3*(t + 1)
Let n be ((-54)/504*-14)/(1/(-2) - -1). Factor 2/5*g**2 - 1/5*g**n - 2/5 + 1/5*g.
-(g - 2)*(g - 1)*(g + 1)/5
Let g = 104 - 102. Let i be (-344)/43*(g - (-31)/(-14)). Factor 4/7*m**2 - i + 8/7*m.
4*(m - 1)*(m + 3)/7
Let d be -4 - ((-200)/(-35) + -10). Suppose 8/7*a - 8/7 - d*a**2 = 0. What is a?
2
Let h(b) be the third derivative of b**8/56 + 32*b**7/105 + 71*b**6/60 + 29*b**5/15 + 4*b**4/3 - 45*b**2 - b. Solve h(f) = 0 for f.
-8, -1, -2/3, 0
Suppose -625/3*d + 0 - 50/3*d**2 - 1/3*d**3 = 0. What is d?
-25, 0
Suppose -96*y - 54 = -114*y. Solve -15*k**2 + 23/2*k**y + 2*k + 4 - 5/2*k**4 = 0.
-2/5, 1, 2
Let d(b) be the second derivative of -b**7/1400 - b**6/150 - 3*b**5/200 + b**3 - 10*b. Let h(g) be the second derivative of d(g). Solve h(o) = 0.
-3, -1, 0
Factor -7/2*r - 1/6*r**2 + 5/6*r**3 + 3 - 1/6*r**4.
-(r - 3)**2*(r - 1)*(r + 2)/6
Suppose 3*d + d - 3*q = -7, 5*q - 27 = -d. Suppose -d*u - 12*u = 4*u. Let 14/9*j**2 + 4/9*j + 2/3*j**4 + 16/9*j**3 + u = 0. Calculate j.
-1, -2/3, 0
Suppose 2*v = -4*v + 18. Factor 2*b**v + 0*b**2 + 0*b**2 + 2*b**3 + 8*b**2.
4*b**2*(b + 2)
Suppose -4*v = 9 + 15. Let g = v - -7. Let b(p) = -p**2 - 1. Let s(a) = 9*a**2 + 3. Let l(d) = g*s(d) + 6*b(d). Solve l(u) = 0 for u.
-1, 1
Let j(p) be the third derivative of -p**8/420 - 2*p**7/105 + 4*p**6/75 + 16*p**5/25 + 19*p**2. Determine d, given that j(d) = 0.
-4, 0, 3
Suppose 40*m**2 + 12*m**2 - 4 - 4*m**4 + 60*m + 0 - 12*m**3 + 4 = 0. What is m?
-5, -1, 0, 3
Suppose -1530*c - 3/2*c**4 - 1350 - 51*c**3 - 1047/2*c**2 = 0. Calculate c.
-15, -2
Suppose 6*i = i + 15. Suppose -5*g + 3*l = -25, -i*g = -0*g + 5*l + 19. Let -2*t**5 + 1 + 4*t**3 - 4*t**2 - 1 - 2*t + g*t**4 + 2 = 0. Calculate t.
-1, 1
Let b(p) be the second derivative of p**7/28 - 7*p**6/20 + 9*p**5/20 - 61*p. Factor b(c).
3*c**3*(c - 6)*(c - 1)/2
Suppose -245*u = -241*u - 12. Let n = -4 + 6. Factor -2/7*j**n - 2/7*j**5 + 0*j + 0 + 2/7*j**4 + 2/7*j**u.
-2*j**2*(j - 1)**2*(j + 1)/7
Let g(i) be the first derivative of -i**6/60 - i**5/42 + 4*i**4/21 - 4*i**3/21 - 4*i**2 + 9. Let c(p) be the second derivative of g(p). Factor c(f).
-2*(f - 1)*(f + 2)*(7*f - 2)/7
Let i(a) be the second derivative of 6*a**3 - 34*a + 54*a**2 + 1/4*a**4 + 0. Suppose i(r) = 0. What is r?
-6
Let i(l) be the first derivative of -l**6/15 + 7*l**5/30 - l**4/6 - l**3/3 - 3*l**2/2 + 2. Let z(p) be the second derivative of i(p). Let z(m) = 0. Calculate m.
-1/4, 1
Let r(i) = -i**5 + 6*i**4 - 2*i**3 + 3*i. Let k(o) = -o**2 - 38*o**4 - 39*o**4 - o + 76*o**4 + o**3. Let b(f) = -3*k(f) - r(f). Factor b(m).
m**2*(m - 3)*(m - 1)*(m + 1)
Solve -889/4*n**2 - 16 - 1103/8*n**3 - 11/8*n**5 - 124*n - 25*n**4 = 0 for n.
-8, -1, -2/11
Suppose -18 = -6*w - 3*w. Suppose -b**4 + 9*b**w + b**4 - 9*b**3 - 3*b - 3*b**4 + 6*b**4 = 0. Calculate b.
0, 1
Let h = -8 + 12. Suppose 18 = -0*c + 3*c. Suppose -7*i**2 - 4*i**3 + i**2 + 4*i - i**h + i**2 - c*i = 0. What is i?
-2, -1, 0
Suppose 2*v = b, b = -v - 0 + 6. Factor -23*f**v + f + 28*f**2 - 5*f**3 - f.
-5*f**2*(f - 1)
Let c be -3 - (-24)/2 - 1. Factor 0*o + 2*o - 2*o**2 - 3*o**2 + c*o - 5.
-5*(o - 1)**2
Factor 4/3 - 2/3*q**2 - 2/3*q.
-2*(q - 1)*(q + 2)/3
Let n(d) be the second derivative of d**5/5 + 35*d. Let s(t) = -t**4 - 5*t**3. Let l(v) = -6*n(v) - 4*s(v). Factor l(u).
4*u**3*(u - 1)
Let f(j) be the third derivative of 8*j**2 - 3/2*j**3 + 0 - 1/32*j**4 - 1/1440*j**6 + 0*j + 1/120*j**5. Let d(p) be the first derivative of f(p). Factor d(a).
-(a - 3)*(a - 1)/4
Let s(y) = -y**3 + 9*y**2 - 7*y + 6. Let l be s(7). Let u = 277/5 - l. Factor -4/5 - 18/5*z**2 - u*z**4 + 2*z**3 + 14/5*z.
-2*(z - 2)*(z - 1)**3/5
Let y(p) be the second derivative of -p**6/5 + 69*p**5/20 - 15*p**4/2 - p**3/2 + 15*p**2 - 100*p. Let y(s) = 0. Calculate s.
-1/2, 1, 10
Find f, given that 3/4*f**2 - 17/2*f + 11/4 = 0.
1/3, 11
Suppose -1279 = -2*k - 89. Let a be (-6)/51 + 155/k. Factor 0 + 1/7*h**4 + a*h**5 - 1/7*h**2 + 0*h - 1/7*h**3.
h**2*(h - 1)*(h + 1)**2/7
Let l(f) = 3*f - 17. Let u be l(7). Let s(h) be the first derivative of 2*h**3 + 0*h + 3/4*h**4 + 0*h**2 + u. Let s(z) = 0. Calculate z.
-2, 0
Let v(u) be the second derivative of -u**9/4032 + u**8/560 - 3*u**7/1120 + 13*u**3/3 - 23*u. Let w(y) be the second derivative of v(y). Factor w(p).
-3*p**3*(p - 3)*(p - 1)/4
Let l(z) be the first derivative of -z**4/2 - 8*z**3/3 + 12*z**2 + 723. Find x such that l(x) = 0.
-6, 0, 2
Let z(f) = -f**2 - 13*f - 7. Let j be z(-12). Factor 7*d + 30 - j*d**2 + 3*d**3 - d**3 - 33 - d**3.
(d - 3)*(d - 1)**2
Let k be 6*(44/(-143) + (-318)/(-780)). Suppose -6/5*f - 3/5 - k*f**2 = 0. What is f?
-1
Suppose 4 = 5*b + 3*n - 7, 0 = 4*b + 3*n - 7. Let w(i) = -8*i - 52. Let z be w(-7). Factor 95*s**z - 97*s**b + s**3 + 2*s - 2*s + s**5.
s**3*(s - 1)**2
Let w = -4412499/27322 + -2/13661. Let s = w - -162. Find n such that s*n + 0 + n**2 + 1/2*n**3 = 0.
-1, 0
Let z be -14 + 11 + (-33)/(-9). Factor 2/3 - 2/3*d**2 - z*d**3 + 2/3*d.
-2*(d - 1)*(d + 1)**2/3
Let d be (-22 - 9)/(1 + (-50)/48). Let r be -1*(-3)/(-1) - d/(-168). Find s such that 36/7*s - 16/7 + r*s**2 = 0.
-4, 2/5
Let f(c) = 11*c - 75. Let g be f(7). Let o(w) be the second derivative of 0 - 5*w - 1/2*w**4 + 1/5*w**6 + 0*w**g + 1/2*w**3 + 0*w**5 - 1/14*w**7. Factor o(m).
-3*m*(m - 1)**3*(m + 1)
Let a be (77/21)/(-11) + 13/3. Let o(t) be the second derivative of 0 + 0*t**3 - 1/66*t**a + 4/11*t**2 + 2*t. Factor o(m).
-2*(m - 2)*(m + 2)/11
Let l(u) be the fir