*(u - 4)*(u + 19)
Let i(y) = -50*y**3 + 312*y**2 - 640*y + 2. Let o(r) = -176*r**3 + 935*r**2 - 1922*r + 7. Let l(s) = -7*i(s) + 2*o(s). Factor l(p).
-2*p*(p - 2)*(p + 159)
Suppose -1657*h = -1662*h + 25. Let g(x) be the second derivative of 0*x**2 - 7/18*x**4 - 23*x - 1/63*x**7 - 3/10*x**h + 0 - 2/9*x**3 - 1/9*x**6. Factor g(l).
-2*l*(l + 1)**3*(l + 2)/3
Let i be (-192)/(-33) - ((-100)/(-110)*-20 + 18). Factor -16*g - 2/3*g**4 - i - 44/3*g**2 - 16/3*g**3.
-2*(g + 1)**2*(g + 3)**2/3
Suppose 2*z + w + 46 = 0, -4*z - 130 + 26 = -w. Let v = z + 51. Suppose 168*o + v*o**2 + 668*o**4 - 650*o**4 - 30*o**3 - 54*o**3 + 72 = 0. Calculate o.
-2/3, 3
Let p = 4665/1141 - -917/163. Factor 4/7*j**4 - p*j**3 + 0*j - 72/7*j**2 + 0.
4*j**2*(j - 18)*(j + 1)/7
Let n(t) = 3659*t - 193925. Let j be n(53). Solve -1/4*s**j - 43/4*s + 11 = 0 for s.
-44, 1
Let f(g) be the third derivative of g**8/11760 + 2*g**7/2205 + g**6/315 + 59*g**4/12 - 2*g**2 - 64. Let q(l) be the second derivative of f(l). Factor q(o).
4*o*(o + 2)**2/7
Let b be (351/(-36))/(63/(-3101)). Let i = b - 1917/4. Factor -4/3*t**3 + 4/3*t**2 - 2/3 + i*t - 2/3*t**4 + 2/3*t**5.
2*(t - 1)**3*(t + 1)**2/3
Let b = 19157/326 - 9334/163. Find j such that b*j**5 - 69/4*j + 177/8*j**2 + 3 - 51/8*j**4 - 3*j**3 = 0.
-2, 1/4, 1, 4
Suppose -2*g - 7*g + g = 5*g. Let s(c) be the third derivative of 4/21*c**4 + 6*c**2 + 1/1260*c**6 + 2/105*c**5 + 64/63*c**3 + g*c + 0. Factor s(j).
2*(j + 4)**3/21
Factor -45234*l**3 - 3330*l + 90462*l**3 - 1671*l**2 - 45231*l**3.
-3*l*(l + 2)*(l + 555)
Let l be -203*(-5)/30*-2. Let x = l - -68. Factor -4/3*k**2 + x*k**5 - 4/3*k**4 + 1/3*k + 0 + 2*k**3.
k*(k - 1)**4/3
Let w = -1 - -4. Suppose 3 = 3*i + w*b, i + 2*b - 16 = 6*b. Factor 5*r**2 - i*r**2 - 24*r - 6*r**2 + r**2.
-4*r*(r + 6)
Let u(s) be the second derivative of 2*s**6/15 + 7*s**5/5 + 5*s**4/3 - 14*s**3/3 - 12*s**2 + 2*s + 7310. Factor u(b).
4*(b - 1)*(b + 1)**2*(b + 6)
Let m(f) be the third derivative of f**5/60 - 13*f**4/24 - 11*f**3/6 - 8*f**2 + 2. Let c be m(14). Solve -8/9 - 16/9*k + 2/3*k**2 + 2*k**c = 0.
-2/3, 1
Suppose s - 3 = 0, -5*h - 2*s = -110 + 24. What is u in 38 - 3877*u + 27*u**3 + 210*u**2 + 3586*u + h = 0?
-9, 2/9, 1
Let h = 79229/3 - 158413/6. Factor -3/2*i**2 + h*i - 6.
-3*(i - 4)*(i - 1)/2
Let g = 365758/5 + -73151. Factor -g*p**3 + 3/5*p - 6/5*p**2 + 6/5.
-3*(p - 1)*(p + 1)*(p + 2)/5
Suppose r = -2*n + 12, 4*r - 68 = -9*n + 6*n. Let q be 3/2*(600/15)/r. Determine j so that 20/7*j - 4/7*j**q + 24/7 - 8/7*j**2 = 0.
-3, -1, 2
Let l(o) be the second derivative of o**5/15 - 203*o**4/12 + 76*o**3/9 + 35*o - 46. Solve l(q) = 0.
0, 1/4, 152
Let x = -460270/3 - -153424. Find n such that x*n**4 + 2 - 8/3*n**2 + 1/3*n**5 - 2*n**3 + 5/3*n = 0.
-3, -1, 1, 2
Let j = -358042/45 + 71630/9. Factor -39/5*n**2 + j*n**3 + 0 + 9/5*n.
3*n*(n - 3)*(4*n - 1)/5
Suppose -s + 2031 = 5*g + 2077, 4*s - 56 = 4*g. Let -4/7*b**2 + s*b - 40/7 = 0. What is b?
2, 5
Suppose 5*o + 4*z - 65 = 4*o, -4*o + 155 = -5*z. Suppose -11 = 42*q - o*q + 5*a, -a = 1. What is y in 0 + 0*y - 6/5*y**q + 2/5*y**4 - 4/5*y**3 = 0?
-1, 0, 3
Suppose -38492*f + 38774*f - 564 = 0. Find i, given that -2/3*i**3 + 22/3*i + 8/3*i**f + 4 = 0.
-1, 6
Let h = 397 + -401. Let y be (-24)/16*(h - -2). Factor -1/3*u**y - 1/9*u**2 + 1/3*u + 1/9.
-(u - 1)*(u + 1)*(3*u + 1)/9
Let u(s) = -33*s**4 + 5652*s**3 + 21*s**2 - 21*s + 21. Let f(v) = 8*v**4 - 1414*v**3 - 5*v**2 + 5*v - 5. Let p(z) = -21*f(z) - 5*u(z). What is l in p(l) = 0?
0, 478
Let x(y) be the third derivative of -y**7/2100 + y**6/240 + y**5/150 - y**4/12 + 2*y**2 + 2*y - 3901. Factor x(r).
-r*(r - 5)*(r - 2)*(r + 2)/10
Factor 5*q**2 - 6269 + 0*q**2 + 7379 + 565*q.
5*(q + 2)*(q + 111)
Let j(x) be the first derivative of 0*x**2 + 0*x - 1/21*x**3 + 87 + 1/28*x**4. Factor j(l).
l**2*(l - 1)/7
Let d(x) be the third derivative of -x**6/960 - 79*x**5/480 - 91*x**4/48 + 37*x**3/4 - 357*x**2. Factor d(j).
-(j - 1)*(j + 6)*(j + 74)/8
Let o(a) be the third derivative of a**6/200 - 3*a**5/10 - 36*a**4/5 + 5184*a**3/5 - 2*a**2 - 552*a + 1. Factor o(u).
3*(u - 24)**2*(u + 18)/5
Let s(q) be the second derivative of 0 + 137*q - 1/4*q**4 - 27/2*q**3 + 0*q**2. Let s(p) = 0. What is p?
-27, 0
Let t(x) be the third derivative of 2*x**7/105 + 10*x**6/3 + 761*x**5/5 - 5668*x**4/3 - 27040*x**3/3 + 91*x**2 + 2*x + 3. Factor t(m).
4*(m - 5)*(m + 1)*(m + 52)**2
Let m be (1 - 15) + 1686/120. Let r(c) be the third derivative of m*c**5 + c**2 + 0 + 0*c**3 + 0*c**4 + 0*c + 1/210*c**7 - 1/30*c**6. What is u in r(u) = 0?
0, 1, 3
Let o = 298304/15 + -99428/5. Solve 0 - 28/3*f + o*f**2 = 0.
0, 7
Suppose 0 = -w - l + 10, -2*l = -3*w - 7*l + 30. Suppose -5*k - y + w = 4*y, 0 = -k - 5*y + 2. Factor 7*a + 4*a + 3*a**k - 2*a + 12 + 6*a.
3*(a + 1)*(a + 4)
Let v = 2655 - 2651. Let g(a) be the second derivative of 0 - 4/33*a**3 - 11*a - 3/11*a**2 - 1/66*a**v. Solve g(c) = 0 for c.
-3, -1
Determine c, given that 1/5*c**4 - 22 + 3*c**3 - 87/5*c + 37/5*c**2 = 0.
-11, -5, -1, 2
Find n such that -40*n - 4651*n**4 - 114*n**3 - 74*n**3 + 56 + 88*n**2 + 4675*n**4 + 396*n = 0.
-1, -1/6, 2, 7
Let g be -339 + (0 - 2) + -2. Let n = g - -347. Factor -1/10*d + 1/10*d**3 - 1/10*d**2 + 0 + 1/10*d**n.
d*(d - 1)*(d + 1)**2/10
Let n(y) = 3*y**3 + 22*y**2 - 7*y + 22. Let g be n(-7). Suppose g*r = 127*r. Find a, given that r - 1/2*a**2 + 3/2*a = 0.
0, 3
Let i be 2 - (6 + (-30)/5). Factor 50 - h**4 + 12*h**2 + 420*h - i*h**3 - 18 - 460*h + 4*h**3.
-(h - 2)**3*(h + 4)
Let n(w) = -2*w**4 + 15*w**3 - w**2 + 6*w - 3. Let z(x) = 4*x**4 - 27*x**3 + 3*x**2 - 10*x + 5. Let d(p) = -5*n(p) - 3*z(p). Suppose d(y) = 0. Calculate y.
0, 1, 2
Let z(x) be the third derivative of x**8/30240 - x**7/5040 - x**6/1080 - 41*x**5/60 - 35*x**2. Let l(j) be the third derivative of z(j). Factor l(p).
(p - 2)*(2*p + 1)/3
Let v be 82 + (37 - (-17875)/(-165)). Factor 30*h**2 + 124/3*h - v.
2*(5*h + 8)*(9*h - 2)/3
Factor -688 - 472*s**2 - 485*s**2 + 955*s**2 + 180*s.
-2*(s - 86)*(s - 4)
Let a(r) be the first derivative of r**5/90 - 7*r**4/18 - 23*r**2/2 - 32. Let g(n) be the second derivative of a(n). Factor g(o).
2*o*(o - 14)/3
Let a(g) be the second derivative of 3*g**3 - 1/4*g**4 + 2 - 2*g - 27/2*g**2. Let a(i) = 0. Calculate i.
3
Suppose 3*a + 1 = 10. Let 30 + 38*q**2 + 19*q + 3*q - 50 - 4*q**a = 0. What is q?
-1, 1/2, 10
Let f(n) be the second derivative of 2 + 1/12*n**4 + 242*n**2 - 58*n + 22/3*n**3. Find d, given that f(d) = 0.
-22
Let -244/3*u + 1/6*u**2 + 29768/3 = 0. Calculate u.
244
Let j be 2 + 1/(-5)*-5 + 0. Solve -2*u - 8*u - 8*u**4 + 20*u**2 - 45*u**2 - 20*u**3 + j*u**4 = 0 for u.
-2, -1, 0
Let z be 42 + ((-1152)/12 - -54). Find f, given that -1/2*f**2 + z - 15/2*f = 0.
-15, 0
Let k(o) be the first derivative of 92*o**3/15 - o**2 - 2326. Factor k(i).
2*i*(46*i - 5)/5
Suppose 5*f = 10*q - 5*q + 30, 0 = 4*f + 2*q - 18. Factor f*j**2 - 7*j - 5*j - 18*j.
5*j*(j - 6)
Let t = -656/791 - -78406/8701. Factor 6/11*h**3 + 78/11*h**2 - 174/11*h + t.
6*(h - 1)**2*(h + 15)/11
Let h(w) = -6*w**3 + 30*w**2 - 108*w + 198. Let j(s) = -5*s**3 + 26*s**2 - 108*s + 200. Let u(g) = 8*h(g) - 9*j(g). Find n, given that u(n) = 0.
-6, 2, 6
Solve 36/5*o**3 + 33/5*o**4 + 0 + 0*o - 3/5*o**5 + 0*o**2 = 0.
-1, 0, 12
Suppose 2*h - 7 = -3*r, -103 + 78 = -4*h + 5*r. Let j(y) be the third derivative of -y + 0 + 28*y**2 + 47/8*y**4 - 7/20*y**h + 7*y**3. Let j(u) = 0. What is u?
-2/7, 7
Suppose -66 = 4507*m - 4540*m. Determine z, given that 2/5 + 6/5*z - 8/5*z**m = 0.
-1/4, 1
Let y(c) = -10*c**2 - 1077*c - 14. Let o(k) = 9*k**2 + 1077*k + 12. Let f(d) = 7*o(d) + 6*y(d). Factor f(m).
3*m*(m + 359)
Let j(f) = -6*f**5 + 5*f**4 - 12*f**3 - 13*f. Let d(v) = v**5 - v**4 + 2*v**3 + 2*v. Let z(m) = -26*d(m) - 4*j(m). Factor z(y).
-2*y**3*(y - 2)*(y - 1)
Solve -162*o**3 + 151263*o**2 - 304*o - 4*o**4 + 22*o**3 - 150815*o**2 = 0 for o.
-38, 0, 1, 2
Let s be (7 + -1)/((-9)/4 - -3). Factor 22*d**3 + 20*d + 12*d**3 - 55*d**2 + s*d**3 - 7*d**3.
5*d*(d - 1)*(7*d - 4)
Let p(n) be the second derivative of 5/8*n**4 + 0 + 5/2*n**2 - 1/20*n**5 - 15*n - 2*n**3. Let l(d) be the first derivative of p(d). Factor l(o).
-3*(o - 4)*(o - 1)
Let k = 3128/15 - 1034/5. Solve -2/15*o**4 + 8/15*o - 8/15*o**3 + k*o**2 - 8/5 = 0 for o.
-6, -1, 1, 2
Suppose 4*m 