150 - 28349/9. Factor -g + 1/9*c**2 + 0*c.
(c - 1)*(c + 1)/9
Let w(m) be the second derivative of 8*m**2 - 2*m + 343/80*m**5 + 0 + 49/4*m**4 + 14*m**3. Factor w(c).
(7*c + 4)**3/4
Let c be ((-3)/2)/(7132/3576 + -2). Let v = c - 267. Factor 2/5 + v*a**2 - 8/5*a.
2*(a - 1)*(3*a - 1)/5
Let q(x) = x**3 - x**2 - x - 1. Let p(s) = 6*s**3 - 5*s**2 - 6*s - 6. Let d(f) = -4*p(f) + 22*q(f). Factor d(c).
-2*(c - 1)*(c + 1)**2
Let k(o) = -o + 1. Let i(p) = 6*p**3 - 2*p**2 + 0*p**3 - 14*p + 7 + 3. Let x be (-1 - (-14)/2)*12/9. Let w(m) = x*k(m) - i(m). Solve w(a) = 0 for a.
-1, 1/3, 1
Suppose 36 = 4*q - 2*q. Suppose -3*v = 3*v - q. Factor 0*k + 1/2*k**4 + 3/2*k**v + k**2 + 0.
k**2*(k + 1)*(k + 2)/2
Let w(t) = 5*t**3 + 4*t**2 + t - 4. Let l(z) = -8*z**2 + 1039*z - 9*z**3 - 1040*z + 11 - 3. Let c(a) = 3*l(a) + 5*w(a). Factor c(x).
-2*(x - 1)*(x + 1)*(x + 2)
Solve -3*c**4 + 22*c**2 + 14*c**3 + 10*c + 8*c**4 - 2*c**4 - c**4 = 0 for c.
-5, -1, 0
Let p = 54 + -50. Factor 6*r**2 + 53*r + 3*r**3 - 9*r**p - 53*r.
-3*r**2*(r - 1)*(3*r + 2)
Let k(g) = 15*g**2 + 218*g + 727. Suppose 5*n = 4*m + 7, 3*m - 3*n = -n - 7. Let c(y) = -5*y**2 - 73*y - 242. Let d(w) = m*k(w) - 8*c(w). Solve d(l) = 0 for l.
-7
Let n(w) be the third derivative of w**5/300 - 2*w**4/3 + 160*w**3/3 - 59*w**2 - w. Determine q so that n(q) = 0.
40
Let c(a) be the third derivative of a**6/210 + 2*a**5/105 + a**4/42 + 53*a**2. Factor c(i).
4*i*(i + 1)**2/7
Let w(s) = -s. Let a be w(-5). Let g(u) = -3*u. Let o(b) = -135*b + 2*b**2 + 3*b**2 + 142*b - 4*b**2. Let r(k) = a*g(k) + 3*o(k). What is j in r(j) = 0?
-2, 0
Let o(z) = -z**5 + z**4 - 1. Let k(f) = -69*f**4 - 120*f**3 + 6*f**2 + 123*f + 63. Let u(h) = -k(h) - 3*o(h). Suppose u(l) = 0. Calculate l.
-20, -1, 1
Let q(m) be the third derivative of -3*m**7/70 + 2*m**6/5 - 23*m**5/20 + 3*m**4/4 - 40*m**2 + 6*m. Let q(a) = 0. What is a?
0, 1/3, 2, 3
Solve -16/3*v**4 + 8/3 + 16/3*v**3 + 8/3*v**2 - 20/3*v + 4/3*v**5 = 0 for v.
-1, 1, 2
Suppose 3*m = g + 10, 9*m + 2*g = 12*m - 11. Let u(q) be the first derivative of -1/5*q**2 - 2/15*q**m + 0*q + 5. Determine t so that u(t) = 0.
-1, 0
Let n be 1019/4*(8 - 0). Factor 2102 + 5*j + 11*j + j**2 - n.
(j + 8)**2
Let h(f) be the second derivative of 0 - 3*f**2 - 1/6*f**4 + 4/3*f**3 + 24*f. Solve h(q) = 0.
1, 3
Let y(m) be the third derivative of m**7/560 + m**6/8 + 15*m**5/4 + 125*m**4/2 - 43*m**3/6 - 7*m**2. Let x(f) be the first derivative of y(f). Factor x(o).
3*(o + 10)**3/2
Let p(v) be the second derivative of -v**7/14 - v**6/2 - 9*v**5/10 + v**4 + 4*v**3 + 90*v - 1. Factor p(s).
-3*s*(s - 1)*(s + 2)**3
Let o(s) = -17*s + 428. Let d be o(25). Let j(k) be the second derivative of 1/24*k**4 - 3*k + 0*k**d - 1/4*k**2 + 0. Factor j(w).
(w - 1)*(w + 1)/2
Factor 54/5 + 63/5*h - 3/5*h**3 + 6/5*h**2.
-3*(h - 6)*(h + 1)*(h + 3)/5
Let t be 3/21*(3 + 4). Suppose -o + 3 = k, t = 5*o - 4. Factor -3/2*m + 1 + 1/2*m**k.
(m - 2)*(m - 1)/2
Let b be ((-1)/4)/(8/(-416)). Suppose 4*z = -l - 20, b*l + 5*z = 11*l - 25. Determine w, given that 1/3*w**2 + l + 0*w + 1/3*w**3 = 0.
-1, 0
Let s(p) be the second derivative of -5*p**5/4 - 15*p**4/4 - 9*p**3/2 + 5*p**2 + 11*p. Let i(v) be the first derivative of s(v). Factor i(b).
-3*(5*b + 3)**2
Let f(n) be the second derivative of -n**6/1620 + n**5/135 - 14*n**3/3 + 21*n. Let h(z) be the second derivative of f(z). Suppose h(x) = 0. Calculate x.
0, 4
Let y(w) be the second derivative of 0*w**2 - 1/9*w**4 + 10*w - 1/9*w**3 - 1/30*w**5 + 0. Factor y(s).
-2*s*(s + 1)**2/3
Let n = 289975 - 1454919/5. Let w = 1028 + n. Let 0*z - 16/5*z**2 - 108/5*z**4 + 0 + w*z**3 = 0. Calculate z.
0, 2/9, 2/3
Let m = -396 + 400. Let w(t) be the third derivative of -1/180*t**5 + 0*t**m + 0*t + 0*t**3 - 3*t**2 + 0. Factor w(a).
-a**2/3
Let h(s) be the second derivative of -3*s**5/20 - 25*s**4/4 + 53*s**3/2 - 81*s**2/2 + 737*s. Suppose h(x) = 0. What is x?
-27, 1
Let u(z) be the third derivative of z**8/2016 + z**7/315 + z**6/240 - z**5/90 - z**4/36 + 148*z**2. Factor u(r).
r*(r - 1)*(r + 1)*(r + 2)**2/6
Suppose -4*z - 20 = -3*c, z + 2 = -0*z. Suppose -3*x**3 - 2*x**2 - 791*x**c + 4*x**2 + 786*x**4 = 0. Calculate x.
-1, 0, 2/5
Let m(q) be the second derivative of q**6/40 - 9*q**5/20 + 9*q**4/4 - q + 2. Let m(t) = 0. What is t?
0, 6
Let t(v) = 10*v**2 + 137*v + 5332. Let i(l) = -27*l**2 - 414*l - 15995. Let n(m) = 3*i(m) + 8*t(m). Determine p, given that n(p) = 0.
-73
Let s = 3957/7 - 564. Solve s*m**3 + 3/7*m + 3/7*m**4 + 0 + 9/7*m**2 = 0.
-1, 0
Suppose 26/9*g**2 - 28/9 - 10/3*g**3 + 2/9*g**4 + 10/3*g = 0. Calculate g.
-1, 1, 14
Let m(q) be the third derivative of -2/21*q**4 + 0*q + 0 + 1/210*q**6 - 16/21*q**3 + 3*q**2 + 2/105*q**5. Factor m(y).
4*(y - 2)*(y + 2)**2/7
Suppose -76 + 2 = g. Let w be g/(-10) + (-2)/5. Factor 19*j**4 - 21*j**3 + 41*j**3 - w*j**4 - 8*j**2.
4*j**2*(j + 2)*(3*j - 1)
Factor 170*w + 7225/2*w**2 + 2.
(85*w + 2)**2/2
Let s(c) be the third derivative of c**8/50400 + c**7/2100 - 7*c**6/1800 - c**5/4 + 7*c**2. Let u(d) be the third derivative of s(d). Factor u(r).
2*(r - 1)*(r + 7)/5
Solve 182*k**3 - 425 + 20*k**2 - 177*k**3 + 5*k + 395 = 0.
-3, -2, 1
Let j = 22376/3 + -7457. Factor 0 + j*r - 1/6*r**2.
-r*(r - 10)/6
Let y(p) be the first derivative of -p**6/3 + 4*p**5/5 + p**4 - 16*p**3/3 + 7*p**2 - 4*p + 86. Factor y(d).
-2*(d - 1)**4*(d + 2)
Let q be (32/(-408))/(2/(-3)). Factor 2/17*u**3 - 4/17*u**2 + q*u + 0.
2*u*(u - 1)**2/17
Factor -26*t**2 - 201*t + 441*t - 70 - 2 - 338*t**3.
-2*(t + 1)*(13*t - 6)**2
Let h = 8203/6132 + -9/2044. Factor 8/3*l**4 - 4/3*l**2 + h*l**3 + 0 + 0*l.
4*l**2*(l + 1)*(2*l - 1)/3
Let 1/3*k**5 + 2*k**4 + 4/3*k**2 + 0*k + 0 + 3*k**3 = 0. Calculate k.
-4, -1, 0
Suppose 8*g - 13 = 467. Let b be 4 - (1 + g/(-28)). Factor 24/7*x + 4/7*x**2 + b.
4*(x + 3)**2/7
Let h(a) be the second derivative of a**5/40 + a**4/24 - a**3/6 + 18*a - 5. Determine i, given that h(i) = 0.
-2, 0, 1
Let w be 4/3*12*3/24. Factor 2 + z - 40*z**2 + w + 2*z - 56*z**3 - z.
-2*(2*z + 1)**2*(7*z - 2)
Let q(m) = m - 26. Let g be q(29). Solve 3 - 22*i**3 + 23*i**g + 1 - 3*i**2 = 0.
-1, 2
Let v = 1069/3189 + -2/1063. Suppose 0*t**2 + 0 - v*t**3 + 0*t - 1/3*t**4 = 0. What is t?
-1, 0
Let x(z) be the first derivative of -z**4/7 - 440*z**3/21 + 2*z**2/7 + 440*z/7 + 405. Factor x(r).
-4*(r - 1)*(r + 1)*(r + 110)/7
Let t(c) be the third derivative of 5/9*c**3 - 25/72*c**4 + 0 + 1/72*c**6 + 1/12*c**5 - 1/126*c**7 - 4*c**2 + 0*c. Factor t(h).
-5*(h - 1)**3*(h + 2)/3
Suppose 3*s - 3*q - 11 - 10 = 0, 0 = 2*s + 4*q - 20. Let y be 2*(-4)/s + 3. Factor -p**4 - 170*p**3 + p**y + 0*p**5 + 169*p**3 + p**5.
p**2*(p - 1)**2*(p + 1)
Let s(t) = -11*t**2 + 8*t + 9. Let y(l) = -15*l**2 + 9*l + 10. Let v(w) = 4*s(w) - 3*y(w). Factor v(p).
(p + 2)*(p + 3)
Let w = -70 + 79. Suppose 0 = -l - 2*l. Factor -3 + r**5 + l*r**5 + 6 + 6*r**2 + 2*r**5 - w*r + 6*r**3 - 9*r**4.
3*(r - 1)**4*(r + 1)
Let t(q) be the second derivative of -q**5/30 - 2*q**4/3 - 20*q**3/9 + 3*q + 4. Factor t(u).
-2*u*(u + 2)*(u + 10)/3
Let m(a) be the first derivative of -6 - 12*a + a**3 - 9/2*a**2. Solve m(n) = 0.
-1, 4
Let y = 30 + -30. Suppose -17*a + 12*a = y. Factor 1/5 - 2/5*p**2 + a*p + 0*p**3 + 1/5*p**4.
(p - 1)**2*(p + 1)**2/5
Let h(c) be the third derivative of -c**5/30 - 5*c**4/6 - 25*c**3/3 + c**2 - 198. Factor h(f).
-2*(f + 5)**2
Factor 324*a + 108 + 185*a**2 - 110*a**2 + 285*a**2 - 13*a**4 + 57*a**4 + 4*a**5 + 285*a**3 - 101*a**3.
4*(a + 1)**2*(a + 3)**3
Let z = -658 + 660. Let y(l) be the second derivative of -1/2*l**3 - 2*l + 0 - 1/80*l**5 - 1/8*l**4 - l**z. Suppose y(q) = 0. Calculate q.
-2
Suppose 256*x - 200 = 156*x. Let 21*t**x + 48/7 - 24*t = 0. What is t?
4/7
Suppose -270 = 4*g + 2*d, -g - 330 = 4*g - 5*d. Let l = g - -70. Find x such that 1 - 1/2*x**l + 21/4*x**2 + 5*x - 7/4*x**4 = 0.
-1, -2/7, 2
Let c(d) be the third derivative of -d**8/728 - 2*d**7/273 + 11*d**6/195 - 4*d**5/65 - 132*d**2. Suppose c(y) = 0. Calculate y.
-6, 0, 2/3, 2
Let n(o) be the third derivative of o**5/30 - 5*o**4/3 + 19*o**3/3 - 553*o**2. Let n(i) = 0. Calculate i.
1, 19
Let j = 20 + -25. Let i be -1*j/((-5)/(-2)). Find c, given that -9*c**4 + 3*c**4 + 3*c**2 + 4*c**4 + 4*c**3 + 3*c**i = 0.
-1, 0, 3
Let t(x) = -6*x**4 - 118*x**3 - 648*x**2 - 1296*x. Let o(k) =