80*i**2 - 1672*i - 480. Let m(o) = -2*o**3 - o**2 - 2*o. Let a(b) = 24*m(b) - q(b). Factor a(u).
-4*(u - 5)*(u + 12)*(7*u + 2)
Let v(w) = w**2 + 9*w - 80. Let i be v(-15). Let u be i/(-6)*(-96)/40. What is t in -9*t**2 + 24/5*t**3 - 24/5*t - 3/5*t**u + 48/5 = 0?
-1, 1, 4
Let w be 14 - (-1111)/(-77) - (-3279)/7. Let k = w + -468. Solve 0 + 0*h + 1/2*h**2 + k*h**3 - 1/2*h**4 = 0.
-1, 0, 1
Let d(i) = 102*i + 544 - 47*i - 47*i + 19. Let y be d(-70). Factor 4/5*c**y - 4/5 - 12/5*c**2 + 12/5*c.
4*(c - 1)**3/5
Suppose 210*o - 213*o = 4*j - 24, 5*o + 4*j = 48. Let b(q) be the third derivative of 0*q**4 - o*q**2 + 0*q + 0*q**3 + 0 + 1/60*q**5. Let b(f) = 0. Calculate f.
0
Let n = 969 - 969. Let l(k) be the third derivative of 0 + 0*k**4 + 0*k + 1/105*k**7 + 3/10*k**5 + n*k**3 + 10*k**2 - 1/10*k**6. Determine w so that l(w) = 0.
0, 3
Let q(k) = -k**4 + 8*k - 1. Let v(y) = -6*y**4 - 210*y**3 - 792*y**2 + 24*y - 3. Let m(o) = -3*q(o) + v(o). Factor m(n).
-3*n**2*(n + 4)*(n + 66)
Let q(m) = -m**2 - 15*m + 19. Let i be q(-16). Let g(k) be the first derivative of 0*k + 2/15*k**i + 0*k**2 - 1/10*k**4 + 7. Determine d, given that g(d) = 0.
0, 1
Factor -4/7*t**3 + 300/7*t + 296/7*t**2 + 0.
-4*t*(t - 75)*(t + 1)/7
Let z(u) be the first derivative of 14/3*u**3 + 62 + 2/5*u**5 + 0*u + 3*u**2 + 5/2*u**4. Let z(g) = 0. What is g?
-3, -1, 0
Let l = -35157 - -35157. Factor -31/7*z**2 + 29/7*z**3 + 6/7*z + l - 4/7*z**4.
-z*(z - 6)*(z - 1)*(4*z - 1)/7
Let f(s) be the first derivative of -100/63*s**3 + 0*s + 1/63*s**6 + 10/7*s**4 - 70 - 4/15*s**5 - 125/21*s**2. Solve f(i) = 0 for i.
-1, 0, 5
Let p = -34 + 37. Suppose 7 = -t + p*l, 0 = -l - 0 + 3. What is c in 22*c**3 + 7 + 127*c - 167*c + 1 + 18*c**5 + 46*c**t - 54*c**4 = 0?
-1, 1/3, 2/3, 1, 2
Let h(t) be the third derivative of -1/30*t**5 + 1/60*t**4 - 1/300*t**6 + 0*t + 1/3*t**3 - 5*t**2 + 0. Factor h(j).
-2*(j - 1)*(j + 1)*(j + 5)/5
Let n(s) = 6*s**3 - 36*s**2 - 122*s - 56. Let z(k) = k**3 + 7. Let y(w) = -n(w) + 4*z(w). Factor y(a).
-2*(a - 21)*(a + 1)*(a + 2)
Let c(w) = 7*w**2 - 28*w + 103. Let b(l) = -4*l**2 + 14*l - 52. Suppose -57*t + 62*t + 165 = 0. Let a = t - -38. Let x(s) = a*b(s) + 3*c(s). Factor x(u).
(u - 7)**2
Let p = -20722 - -20722. Let l(c) be the third derivative of -6*c**2 + 0 - 1/840*c**6 + p*c**3 + 5/84*c**4 + 0*c + 1/140*c**5. Factor l(j).
-j*(j - 5)*(j + 2)/7
Suppose 2*t - 6 - 71 = -3*m, 2*t - m - 57 = 0. Find a such that 511 + 678 - t*a - 165 - 33*a + a**2 = 0.
32
Let w(h) be the third derivative of -9*h - 1/75*h**5 + h**2 + 17/15*h**3 - 11/20*h**4 + 0. Factor w(c).
-2*(c + 17)*(2*c - 1)/5
Suppose 2*x - 4 = -3*w - 3, 5 = 2*x - w. Factor 4/5*j + 1/5*j**4 - 4/5*j**3 - 4/5 + 3/5*j**x.
(j - 2)**2*(j - 1)*(j + 1)/5
Let i(k) = 11*k**3 - 340*k**2 - 29249*k + 59858. Let j(y) = 14*y**3 - 339*y**2 - 29252*y + 59858. Let z(g) = -5*i(g) + 4*j(g). Factor z(o).
(o - 2)*(o + 173)**2
Let q(u) = -u**3 - 13*u**2 - 170*u - 1893. Let y be q(-12). Let f(c) be the first derivative of -1 + 12/11*c + 2/33*c**y - 5/11*c**2. Factor f(h).
2*(h - 3)*(h - 2)/11
Suppose 12*p + 800 = 2564. Let y = p - -346. Factor -y - 5*x**2 + 100*x - 53 - 39 + 85.
-5*(x - 10)**2
Let 0 - 6*r - 7*r**2 - 1/3*r**4 - 8/3*r**3 = 0. Calculate r.
-3, -2, 0
Let b(k) be the first derivative of -k**8/336 + 5*k**7/168 - 7*k**6/72 + k**5/8 + 2*k**3/3 - 15*k + 25. Let r(t) be the third derivative of b(t). Factor r(o).
-5*o*(o - 3)*(o - 1)**2
Let m(u) be the third derivative of -u**5/80 - 9*u**4/32 - 9*u**3/4 - 996*u**2. Let m(k) = 0. Calculate k.
-6, -3
Let b(u) = -13*u + 120. Let c be b(9). Determine d so that -33*d**4 + 12*d - 36 + 19*d**2 - 11*d**c + 80*d**2 + 29*d**3 = 0.
-1, 6/11, 2
Let u = -41115 - -123349/3. Let f(a) be the third derivative of -1/5*a**6 - u*a**3 + a**4 - 1/6*a**5 + 3/35*a**7 + 0*a - a**2 + 0. Let f(s) = 0. Calculate s.
-1, 2/3, 1
Factor -512/3*p + 4/3*p**3 + 176 + 116/3*p**2.
4*(p - 2)**2*(p + 33)/3
Let s be (-20)/70*(2 + (-11 - -2)). Factor -2*n + 4*n**3 + 3*n**2 - 6*n + 13*n**s - 10*n**3.
-2*n*(n - 2)*(3*n - 2)
Let s(r) be the second derivative of -3*r**8/224 + r**7/35 - 13*r**6/960 + r**5/480 - 28*r**2 + 59*r. Let q(k) be the first derivative of s(k). Factor q(y).
-y**2*(y - 1)*(6*y - 1)**2/8
Let t(d) = 37*d**4 - 358*d**3 - 7*d**2 + 364*d - 18. Let q(f) = -43*f**4 + 357*f**3 + 8*f**2 - 364*f + 21. Let i(n) = -6*q(n) - 7*t(n). Factor i(j).
-j*(j - 364)*(j - 1)*(j + 1)
Let q(v) be the second derivative of 35*v + 1/70*v**5 + 1/84*v**4 + 0 + 0*v**2 + 0*v**3 + 1/210*v**6. Factor q(d).
d**2*(d + 1)**2/7
Let h = 7082/3 + -2360. Let s be 6/9*(2 - -1). Solve -1/3*m**3 + h*m**s - 8/3 + 4/3*m = 0 for m.
-2, 2
Let o be 1*(715 + -9 + 4). Let d be 16/2*142/o. Find v, given that 4/5*v - d - 1/5*v**3 + 2/5*v**2 = 0.
-2, 2
Let g(t) be the third derivative of -t**5/110 + 6*t**4/11 + 145*t**3/11 - 34*t**2 - 3. Let g(h) = 0. Calculate h.
-5, 29
Let m(v) = -4*v**3 - 36*v**2 - 36*v. Let w(h) = 21*h**3 + 179*h**2 + 180*h. Let t(d) = 11*m(d) + 2*w(d). Let t(q) = 0. Calculate q.
-18, -1, 0
Let c = 6175/2 + -3087. Let q(n) be the second derivative of -1/9*n**3 - 1/90*n**6 + 0 - c*n**2 - 10*n + 1/30*n**5 + 1/9*n**4. Find r, given that q(r) = 0.
-1, 1, 3
Let u be -2*((-3)/(-12))/((-7)/28). Let 375*m**2 - 12*m**3 - 20*m + 0*m**4 - 411*m**u + 4*m**4 = 0. Calculate m.
-1, 0, 5
Let w(r) = -3*r**2 - 40*r - 167. Let j be w(-23). Let l be j/(-139) + 72/(-14). Solve 2/7*g**2 + l*g - 8/7 = 0.
-4, 1
Let k(i) = -18*i**3 + 2*i - 1. Let q be k(1). Let t(n) = -n**2 - 15*n + 37. Let d be t(q). Factor d*h**3 + h**4 + 2*h**4 + 7 - 3*h - 9*h**2 - 1.
3*(h - 1)**2*(h + 1)*(h + 2)
Suppose 0 = 3*x - 44 - 103. Let g = x - 44. Let 0*b**2 + 3*b**3 - g*b**3 + 0*b**2 + 2*b**4 = 0. Calculate b.
0, 1
Let f be (-6292)/30492 + (-7)/(-9). Factor -2/7*l**4 + 0*l + 0*l**2 + 0 + f*l**3.
-2*l**3*(l - 2)/7
Let h(u) be the first derivative of -7*u**6/27 - 2*u**5/5 + 19*u**4/18 + 26*u**3/27 - 4*u**2/3 - 8*u/9 - 1713. Suppose h(p) = 0. Calculate p.
-2, -1, -2/7, 1
Let k(u) be the second derivative of u**4/42 + 41*u**3/21 + 78*u**2/7 - 9216*u. Solve k(p) = 0 for p.
-39, -2
Let k(x) = -10*x**2 + 60*x + 12. Let c(v) = 4*v**2 - 24*v - 5. Let p = 16 + -17. Let a = 4 - p. Let t(b) = a*k(b) + 12*c(b). Factor t(l).
-2*l*(l - 6)
Suppose 45*u - 541 = 224. Let h be 29/5 + -1*(-13 + u). Factor 0 + 12/5*r**3 + 0*r + h*r**2 + 3/5*r**4.
3*r**2*(r + 1)*(r + 3)/5
Let z(m) = -m**3 - 45*m**2 - 374*m + 2. Let i be z(-34). Suppose 2/5 + 8/5*b**4 - 2*b**i + 6/5*b**3 - 6/5*b = 0. What is b?
-1, 1/4, 1
Let i(w) = w**3 - 18*w**2 - 81*w - 152. Let y be i(22). Let t(x) be the second derivative of 1/30*x**4 + 11*x + 0 - 4/5*x**y + 1/5*x**3. Factor t(u).
2*(u - 1)*(u + 4)/5
Let x be (((-15)/18)/5)/((-75)/540). Factor 3/5*q**4 - x*q**3 + 6/5*q - 3/5*q**2 + 0.
3*q*(q - 2)*(q - 1)*(q + 1)/5
Let s(m) be the second derivative of -2*m**6/105 + 13*m**4/21 - 8*m**3/7 - m + 50. Suppose s(q) = 0. Calculate q.
-4, 0, 1, 3
Let z(m) be the first derivative of 1/8*m**4 + 13/6*m**3 + 3*m**2 + 0*m - 64. Suppose z(o) = 0. What is o?
-12, -1, 0
Let f = 70 + -699/10. Let t be -45*(-18)/(-180) - -5. Determine g so that 3/5 - t*g + f*g**2 = 0.
2, 3
Let c be (-2)/(-75) + (-9288)/348300. Let -80/3*i**3 - 212/3*i**2 - 136/3*i - 4/3*i**4 + c = 0. Calculate i.
-17, -2, -1, 0
Factor 3*j**3 + 81/7*j**2 + 87/7*j + 30/7 - 3/7*j**4.
-3*(j - 10)*(j + 1)**3/7
Let w = -10865/364 - -1567/52. Let -w - 2/7*g**2 + 4/7*g = 0. What is g?
1
Let d = 54295/28 - 1939. Let s(c) be the third derivative of 5/14*c**3 + 0 - d*c**4 + 13*c**2 + 0*c + 1/140*c**5. Suppose s(h) = 0. What is h?
1, 5
Let l(o) be the second derivative of -1/84*o**4 + 6/7*o**2 + 61 + o + 1/42*o**3. Factor l(f).
-(f - 4)*(f + 3)/7
Suppose -13*o - 82 = -3*d - 9*o, 4*d = -4*o - 68. Solve -458/9*a**d + 520/9*a**3 + 52/3*a - 200/9*a**4 - 2 = 0 for a.
3/10, 1
Let u(k) be the third derivative of k**7/210 - 11*k**6/90 + k**5/3 - 145*k**3/6 - 131*k**2. Let m(z) be the first derivative of u(z). Factor m(h).
4*h*(h - 10)*(h - 1)
Let x = -49363 - -49366. Determine h, given that 1/2*h**x - 5/6*h**2 + 5/6*h**4 + 0 + 1/6*h**5 - 2/3*h = 0.
-4, -1, 0, 1
Suppose -340*g**2 + 285*g - 122*g**5 - 50*g**4 - 90 + 190*g**3 - 132*g**5 + 259*g**5 = 0. What is g?
1, 2, 3
Let r(l) be the first derivative of 20*l + 11 + 