- 1)**3*(p + 19)/5
Let l(a) be the third derivative of -2*a**3 + 26*a**2 + 0*a + 1/30*a**5 - 5/12*a**4 + 0. Solve l(g) = 0 for g.
-1, 6
Let k = -24 - -721/30. Let n(h) be the second derivative of 1/9*h**4 + 0*h**2 + 0 + 1/9*h**3 + h + k*h**5. Factor n(o).
2*o*(o + 1)**2/3
Let v(l) = -2*l**2 + l + 3. Let r be (-21)/6*12/28*2. Let c(g) = 3*g**2 - 2*g - 5. Let u(h) = r*c(h) - 5*v(h). Solve u(f) = 0 for f.
-1, 0
Factor o + 1/3*o**2 + 0.
o*(o + 3)/3
Let z(f) be the first derivative of 5*f**7/42 - f**6/6 - f**5/2 - 35*f + 3. Let r(u) be the first derivative of z(u). Factor r(g).
5*g**3*(g - 2)*(g + 1)
Suppose 4*t + 5 = 5*t. Suppose 7 = 5*l + 4*o - 26, 4*l = 3*o + 14. Factor -5*n**l - 2*n**4 - n**3 + 7*n**5 - 3*n**t.
-n**3*(n + 1)**2
Let n(m) = 8*m**2 + 74*m - 7. Let v(b) = b**2 - 1. Let l(o) = -3*n(o) + 21*v(o). Find y, given that l(y) = 0.
-74, 0
Let d(v) = 4*v**2 - 20*v + 14*v - 9*v. Let a be d(4). Suppose 1/2*f**a + 0*f**3 - 2/3*f**2 - 1/6*f**5 + 0 + 0*f = 0. Calculate f.
-1, 0, 2
Let i(c) = -7*c**2 + 214*c - 59. Let t(m) = -4*m**2 + 214*m - 58. Let s(a) = 4*i(a) - 5*t(a). Determine w, given that s(w) = 0.
-27, 1/4
Let z(g) be the third derivative of g**5/120 - g**4/24 - 616*g**2. Suppose z(x) = 0. What is x?
0, 2
Factor -429 - 2*q - 3*q + 425 - q**2 + q.
-(q + 2)**2
Let y(m) be the third derivative of m**7/5880 - m**6/2520 - m**5/420 - 19*m**3/6 + 4*m**2. Let q(h) be the first derivative of y(h). Factor q(d).
d*(d - 2)*(d + 1)/7
Let q = 36/5 + -211/30. Let n(v) be the first derivative of 0*v**5 + 1/6*v**2 + 1/18*v**6 + 0*v**3 + 3 - q*v**4 + 0*v. Factor n(g).
g*(g - 1)**2*(g + 1)**2/3
Let w(d) be the first derivative of 1/5*d**3 + 9/5*d + 6/5*d**2 + 10. Find m such that w(m) = 0.
-3, -1
Let y(w) be the second derivative of -w**4/24 + 7*w**3/6 - 12*w**2 + 241*w. Find b such that y(b) = 0.
6, 8
Let r = 315 + -99. Let o = -80 + r. Solve m - 4*m**3 - 136 + o + 3*m = 0.
-1, 0, 1
Let j(k) = 3*k - 61. Let h be j(21). Let g(d) be the first derivative of -1/2*d**4 + 2*d - 3*d**h + 2*d**3 + 5. Factor g(n).
-2*(n - 1)**3
Factor -16875/4 - 3/4*z**2 - 225/2*z.
-3*(z + 75)**2/4
Suppose 2*u + g = 3*g - 114, -10 = -5*g. Let p be 6/33 - (-10)/u. Let -9*f + p - 1 - 4*f**4 + 2*f - 13*f**3 + 0*f - 15*f**2 = 0. Calculate f.
-1, -1/4
Suppose -40*s**2 + 6*s**2 + 15*s**2 - 180*s + 10*s**2 + 11*s**2 + 4050 = 0. Calculate s.
45
Suppose 369*l - 17 - 23*l**2 - l**3 + 8*l**2 - 336*l = 0. What is l?
-17, 1
Let -9/5*d**4 + 180*d + 132/5*d**3 + 75 - 126*d**2 = 0. Calculate d.
-1/3, 5
Let v be (-5 - 7/(-2))/(3/(-8)). Factor 0*q**2 - 5*q + v - q**2 + 4 - 2.
-(q - 1)*(q + 6)
Let s = -50/497 + 55814/1491. Suppose -44/3*j**3 + s*j**4 - 4/3 - 36*j**2 + 44/3*j = 0. Calculate j.
-1, 1/7, 1/4, 1
Let r(s) be the first derivative of 7*s**4/32 + s**3/8 - 41*s + 4. Let l(x) be the first derivative of r(x). Let l(w) = 0. Calculate w.
-2/7, 0
Let d(v) be the second derivative of -1/8*v**4 + 0 + 0*v**3 - 1/112*v**7 + 3/80*v**6 - 23*v + 0*v**5 + 0*v**2. Determine y, given that d(y) = 0.
-1, 0, 2
Let a(w) = 4*w**2 - 3*w + 3. Let m be a(1). Let f = 16 - m. Let -1 + 13/2*x - f*x**2 - 2*x**4 + 17/2*x**3 = 0. Calculate x.
1/4, 1, 2
Let r(h) be the third derivative of -h**8/35280 - h**7/2940 + 9*h**5/20 + 23*h**2. Let j(m) be the third derivative of r(m). Factor j(t).
-4*t*(t + 3)/7
Let h be 236/(-210) + 1 + 6/45. Let d(s) be the third derivative of 0*s + 5*s**2 - h*s**7 + 0*s**4 + 0 + 1/60*s**6 + 0*s**3 + 0*s**5. Solve d(y) = 0 for y.
0, 1
Let y(q) = 2*q**4 + 72*q**3 + 80*q**2 - 74*q - 74. Let k(s) = -4*s**4 - 71*s**3 - 81*s**2 + 74*s + 73. Let o(z) = -2*k(z) - 3*y(z). Factor o(j).
2*(j - 38)*(j - 1)*(j + 1)**2
Suppose -5*g - 30 = -4*x - 2, -8 = 4*x + 4*g. Factor 2 - 2*k**3 + 5*k**2 + k**5 - 9*k + 3*k**2 - 2*k**4 + x*k.
(k - 1)**4*(k + 2)
Let i(s) be the first derivative of -s**4/5 - 4*s**3/5 + 10*s**2 - 84*s/5 + 71. Solve i(o) = 0 for o.
-7, 1, 3
Let d(v) = -v**2. Let f(r) = -2*r**3 - 12*r**2 + 3*r + 5. Let a(q) = 40*d(q) - 5*f(q). Let o(s) = -s**3 - s**2 + s + 1. Let x(t) = a(t) + 25*o(t). Factor x(z).
-5*z*(z + 1)*(3*z - 2)
Suppose 0 = -f - 170 + 122. Let z be 0*2/f*4. Factor 2/3*w + z + 1/6*w**2.
w*(w + 4)/6
Let w(c) be the third derivative of -c**8/420 + 46*c**7/105 - 227*c**6/150 + 113*c**5/75 - 19*c**2 - 10. Factor w(q).
-4*q**2*(q - 113)*(q - 1)**2/5
Let i be ((-26)/(-52))/(50/48 - 1). Suppose -57*m**4 - i*m - 2*m**5 + 111*m**3 - 210*m**3 - 63*m**2 - 7*m**5 = 0. What is m?
-4, -1, -1/3, 0
Solve -36*o**3 + 75/2 + 3/2*o**4 - 39*o**2 + 36*o = 0 for o.
-1, 1, 25
Let w(z) be the third derivative of 1/144*z**4 + 0*z**3 - 1/360*z**5 + 0*z + 0 - 14*z**2. Solve w(f) = 0 for f.
0, 1
Let t(n) be the second derivative of -n**7/14 - 11*n**6/10 + 3*n**5/20 + 11*n**4/4 - 121*n. Suppose t(s) = 0. Calculate s.
-11, -1, 0, 1
Factor -34/5*p**3 - 8/5 + 18/5*p**2 + 2*p + 14/5*p**4.
2*(p - 1)**3*(7*p + 4)/5
Suppose p + 18 = 4*p. Suppose 5*a - 1 = p*a + 2*b, 3*b = 5*a - 34. Suppose -4*d**3 + 22*d**4 - 2*d**5 - 9*d**5 + 2*d**5 - 9*d**a = 0. What is d?
0, 2/9, 1
Let r(k) = k**2 - 441*k - 436. Let o(l) = -5*l**2 + 1765*l + 1745. Let b(n) = -6*o(n) - 25*r(n). Factor b(u).
5*(u + 1)*(u + 86)
Let c(t) be the second derivative of -4/15*t**5 + 21*t + 2/45*t**6 + 0*t**3 + 0*t**2 + 0 + 0*t**4. Suppose c(g) = 0. What is g?
0, 4
Let t(r) = -13*r**3 - 3*r**2 - 12. Let y(c) = 16*c**3 + 4*c**2 + c + 14. Let v(l) = 5*t(l) + 4*y(l). Factor v(a).
-(a - 2)*(a - 1)*(a + 2)
Let t be 4/10 - (-1)/(-5)*-13. Let u be (-5 + t - -2)/(-1). Suppose 0*i - 2*i**3 - 4/3*i**2 + 2/3*i**5 + u + 0*i**4 = 0. What is i?
-1, 0, 2
Let i = -1403 - -1405. Factor 1/2*o**3 + 0*o**i - 1/2*o + 0.
o*(o - 1)*(o + 1)/2
Let z(d) = -2*d**3 - 29*d**2 + 17*d + 19. Let c(h) = h**3 + 12*h**2 - 9*h - 10. Let j(i) = 5*c(i) + 2*z(i). Factor j(o).
(o - 3)*(o + 1)*(o + 4)
Let s = -7 - -11. Factor -4*i**3 + 2*i**4 + 6*i**3 + 2*i**3 - s*i**4 - 2*i**2.
-2*i**2*(i - 1)**2
Suppose 0*l + 6 = 5*l - 3*d, 3*l = -4*d + 21. Let i be ((-687)/(-189) - l) + (-12)/(-54). Solve 2/7 + i*w**2 - 8/7*w = 0.
1/3, 1
Let j(z) be the first derivative of -z**4/42 + 4*z**2/7 - 2*z + 39. Let m(x) be the first derivative of j(x). Let m(f) = 0. What is f?
-2, 2
Let i(m) = 20*m**2 - 377*m - 152. Let n(k) = -10*k**2 + 188*k + 76. Let r(v) = 4*i(v) + 10*n(v). Suppose r(w) = 0. Calculate w.
-2/5, 19
Let x(b) = 4*b**2 + 10*b - 1. Let i(w) = -5*w**2 - 10*w + 2. Let m(k) = 3*i(k) + 4*x(k). Let d be m(-10). Determine a so that -6*a + 0 + 2 + 3*a**2 - d = 0.
0, 2
Suppose 0 - 6*z**3 + 15/2*z**4 + 3/2*z**2 - 3*z**5 + 0*z = 0. What is z?
0, 1/2, 1
Let j(q) be the third derivative of 81*q**6/220 - 117*q**5/110 + 10*q**4/11 - 4*q**3/11 + 73*q**2. Let j(p) = 0. Calculate p.
2/9, 1
Let y be ((-76)/(-16) + -4)*8. Let p = 31 - y. Let -20 - 5*n**5 - 3*n - 19*n + 2*n + 25*n**3 + p*n**2 - 5*n**4 = 0. Calculate n.
-2, -1, 1, 2
Let j(r) = r + 8. Let m be j(0). Suppose -3*b + x + 10 = 0, x + x = -m. Suppose -i + i**5 - 16*i**2 - b*i**4 + 0*i**4 + 18*i**2 = 0. What is i?
-1, 0, 1
Let q(m) be the third derivative of -m**6/30 - 4*m**5/15 + 5*m**4/6 + 386*m**2. Factor q(k).
-4*k*(k - 1)*(k + 5)
Let m(f) = -22*f**2 + 22*f - 11. Let o(w) = 66*w**2 - 67*w + 32. Let i(v) = 11*m(v) + 4*o(v). Let d(j) = 1. Let r(y) = 3*d(y) - i(y). Factor r(c).
-2*(c - 1)*(11*c - 2)
Let u be 1/((-1)/4*2). Let g be u/6 + 20/6. Determine v so that 0*v**4 - 8*v**g + 3*v**4 + 6*v**3 + 5*v**3 = 0.
-1, 0
Find r, given that 256 + 1/4*r**2 - 16*r = 0.
32
Suppose -2*q - 2*q = -36. Suppose -l + 11 = q. Factor 2*m**l + 2 - 6*m + 2 + m - m.
2*(m - 2)*(m - 1)
Let x = 233/465 - 29/62. Let f(n) be the second derivative of -n - x*n**4 + 0 + 0*n**3 + 0*n**2. Solve f(d) = 0.
0
Let d(z) be the first derivative of -7/3*z**6 - 4/3*z - 11/3*z**2 + 16/15*z**5 - 14 - 4/3*z**3 + 16/3*z**4. Let d(q) = 0. What is q?
-1, -1/3, -2/7, 1
Let i be (-4)/((10/3)/(-5)). Let l be i/1 + -1*2. Find w, given that w**3 + 1 + 7*w + 0*w**2 - l*w + 3*w**2 = 0.
-1
Let g(n) be the first derivative of 0*n - 2/21*n**3 + 0*n**2 - 17 + 1/14*n**4 + 2/35*n**5 - 1/21*n**6. Find k such that g(k) = 0.
-1, 0, 1
Let k(u) = -u**4 + 10*u**3 + 15*u**2 - 10*u - 24. Let x(q) = 4*q**4 - 52*q**3 - 76*q**2 + 52*q + 120. Let s(d) = -24*k(d) - 5*x(d). Solve s(m) = 0 for m.
-3, -2, -1, 1
Let l(y) be the third de