7*z, -3*z - 9 = 0. Factor 0*l + g*l**a - 1/2*l**3 - 1/4.
-(l - 1)**2*(2*l + 1)/4
Let q(a) be the second derivative of 0*a**2 + 0 + 1/195*a**6 + 0*a**3 + 1/39*a**4 - 5*a - 3/130*a**5. Factor q(c).
2*c**2*(c - 2)*(c - 1)/13
Let r = 357 - 356. Let k(x) be the first derivative of -3*x**3 + 3/4*x**4 - 3/2*x**2 + 9/5*x**5 + r + 0*x. Find l such that k(l) = 0.
-1, -1/3, 0, 1
Suppose 5*a - 3*m = 907, 2 + 6 = -2*m. Let g = -179 + a. Factor 0 + g*r + 2/5*r**2 - 2/5*r**4 + 2/5*r**3 - 2/5*r**5.
-2*r**2*(r - 1)*(r + 1)**2/5
Let i(u) = u**2 + 4*u + 9. Let y be i(-2). Let q(v) be the first derivative of 3/2*v**3 + 2/5*v**y + 11/8*v**4 - 1/2*v + 6 + 1/4*v**2. Solve q(n) = 0.
-1, 1/4
Suppose -3 + 51 = 6*v. Let b be (v/15)/(4/6). Suppose b - 4/5*r + 1/5*r**2 = 0. Calculate r.
2
Let o = 5417 + -5414. Factor -6/11*r**2 + 4/11*r + 0 + 2/11*r**o.
2*r*(r - 2)*(r - 1)/11
Let h(c) be the third derivative of c**7/630 + c**6/120 - c**5/20 + 5*c**4/72 - 4*c**2. Factor h(d).
d*(d - 1)**2*(d + 5)/3
Suppose -12 = -4*j - 14*v + 11*v, -2*j - 3*v = -6. Factor -1/11*n + 0 - 1/11*n**j + 2/11*n**2.
-n*(n - 1)**2/11
Let t(u) be the third derivative of u**7/42 + 11*u**6/12 + 7*u**5/4 + 86*u**2 + 2. Factor t(p).
5*p**2*(p + 1)*(p + 21)
Let h(r) be the first derivative of 7*r**3/5 + 3471*r**2/10 + 198*r + 490. Factor h(o).
3*(o + 165)*(7*o + 2)/5
Suppose r + 687 - 2977 = 0. Solve r*a**3 - 4308*a**2 - 9482*a**3 - 1632*a**4 - 16 - 2236*a**4 + 504*a**4 - 496*a = 0.
-1, -2/29
Let n(b) be the first derivative of 4 - 1/3*b**4 + 4*b + 8*b**2 + 1/10*b**5 - 4/3*b**3. Let g(s) be the first derivative of n(s). Solve g(i) = 0 for i.
-2, 2
Let r(b) be the third derivative of -2*b**2 + 0 + 8/35*b**7 + 36/5*b**5 + 0*b - 27/2*b**4 - 9/5*b**6 - 1/84*b**8 + 0*b**3. Factor r(m).
-4*m*(m - 3)**4
Let t(s) be the first derivative of -s**4/16 - 13*s**3/6 - 209*s**2/8 - 121*s - 471. Solve t(l) = 0.
-11, -4
Suppose -28*p - 28 = -35*p. Let x(f) be the third derivative of 0*f**p + 0*f**5 + 1/180*f**6 - 8*f**2 + 0 + 0*f + 1/90*f**7 + 0*f**3 + 5/1008*f**8. Factor x(g).
g**3*(g + 1)*(5*g + 2)/3
Let q(i) be the second derivative of -9*i**7/14 + 27*i**6/2 - 171*i**5/2 + 725*i**4/6 - 455*i**3/6 + 49*i**2/2 - 4*i. What is d in q(d) = 0?
1/3, 7
Suppose 5*o + 285 = 5*h, -75 = -h + 2*o - 19. Let a = h - 231/4. Suppose 1/2*y**3 + 0*y + 0 + a*y**4 + 1/4*y**2 = 0. Calculate y.
-1, 0
Let s(x) be the second derivative of -32*x + 0*x**2 + x**3 + 13/12*x**4 + 0 - 1/4*x**5. Let s(r) = 0. What is r?
-2/5, 0, 3
Let f(a) be the second derivative of a**4/60 + 11*a**3/30 - 6*a**2/5 - 5*a + 15. Suppose f(h) = 0. What is h?
-12, 1
Let w(o) be the first derivative of -19*o**5/90 - 17*o**4/36 + 2*o**3/9 - 4*o**2 + 18. Let q(g) be the second derivative of w(g). Factor q(a).
-2*(a + 1)*(19*a - 2)/3
Determine p so that -6*p**3 + 3/4*p**4 + 27/2*p**2 - 12*p + 15/4 = 0.
1, 5
Let t(p) be the third derivative of 81*p**6/80 - 27*p**5/40 + 3*p**4/16 - p**3/36 + 2*p**2 + 35*p. Factor t(q).
(9*q - 1)**3/6
Suppose -21 = 3*z - 30. Let h(c) be the first derivative of 3 + 2/9*c - 2/9*c**2 + 2/27*c**z. Suppose h(l) = 0. Calculate l.
1
Let u(g) be the second derivative of 175/12*g**4 + g**5 + 0 - 10/3*g**3 - 15/2*g**2 - 16/3*g**6 + 34*g. Let u(c) = 0. Calculate c.
-1, -1/4, 3/8, 1
Let r(m) be the third derivative of m**5/60 + 47*m**4/36 + 31*m**3/18 - m**2 + 41*m. What is k in r(k) = 0?
-31, -1/3
Let y be 384/54*9/(-6). Let r = y + 98/9. Solve -r*l**3 - 2/9 - 2/3*l - 2/3*l**2 = 0 for l.
-1
Let p(o) = 3*o**2 + 232*o + 304. Let u be p(-76). Factor 0*z + 8/9*z**2 + 32/9*z**3 - 2*z**4 + u.
-2*z**2*(z - 2)*(9*z + 2)/9
Suppose -r + 21 = 3*i, 29 = -0*r + r + 5*i. Let s = 11 - r. Solve 10/3*v + s*v**2 + 4/3 = 0.
-1, -2/3
Let b(p) = -10*p**2 + 1112*p - 28090. Let c(m) = 5*m**2 - 554*m + 14045. Let a(g) = -6*b(g) - 13*c(g). Factor a(q).
-5*(q - 53)**2
Let r(i) be the third derivative of -4/33*i**3 + 0*i**4 + 0 + 1/660*i**6 - 10*i**2 + 1/110*i**5 + 0*i. Let r(f) = 0. Calculate f.
-2, 1
Let w be 0 + 2 + -3 + 4. Suppose -4 = -5*p + 6. Factor l**p + w*l - 3*l + 6*l - 3*l**2 - 4.
-2*(l - 2)*(l - 1)
Let u(k) be the first derivative of -2*k**3/39 + 61*k**2/13 - 205. Factor u(m).
-2*m*(m - 61)/13
Suppose 3*w - 3 = 3*b, 3*b - 7*w + 5 = -2*w. Let x(v) be the third derivative of 0*v**3 + b - 1/25*v**5 + 1/10*v**4 + 0*v + 1/200*v**6 - 2*v**2. Factor x(u).
3*u*(u - 2)**2/5
What is r in 10/9*r**4 - 8/3*r**3 + 8/9*r + 4/9*r**5 + 0 + 2/9*r**2 = 0?
-4, -1/2, 0, 1
Factor 3/4*c**2 + 3/4 - 3/2*c.
3*(c - 1)**2/4
Let b(k) be the second derivative of k**7/378 + k**6/54 + 7*k**5/180 - k**4/108 - 4*k**3/27 - 2*k**2/9 - 20*k. Solve b(r) = 0.
-2, -1, 1
Suppose -z + 10 = 2*t, z + 5 = 2*t + 3. Suppose 3*i = 2*q - 5*q + 18, -i - 6 = -2*q. Factor 6*g + 3 + g - g - 6*g**3 - t*g**q.
-3*(g - 1)*(g + 1)**3
Let p(c) = -c**2 + 8*c - 31. Let l be p(7). Let u be (-2)/5 - (-1 - l/(-40)). Factor 0 - u*n**2 - 4/5*n - 2/5*n**3.
-2*n*(n + 1)*(n + 2)/5
Determine r, given that 0 + 3/4*r**2 - 9/4*r = 0.
0, 3
Suppose 0 = 8*x - 57 - 23. Determine h so that 2 + 3*h + 0*h**2 + 3 - x*h**2 + 2*h = 0.
-1/2, 1
Let s = 9 - -1. Let h = s + -5. Factor b**4 + 4*b**4 + b**4 + b**5 - h*b**4.
b**4*(b + 1)
Let g be (-8)/(-10) - 48/10. Let l be (-10)/15*6/g - 1. Factor 1/4*m**3 + 1 - 3/4*m**2 + l*m.
(m - 2)**2*(m + 1)/4
Let a be 475/155 + (-18)/279. Let v(u) be the first derivative of -1/6*u**2 - 4/9*u**a + 1/4*u**4 + 5 + 2/3*u. Suppose v(j) = 0. What is j?
-2/3, 1
Let g(a) be the third derivative of 0*a**3 + 0 - 4/105*a**5 + 14*a**2 + 1/56*a**6 + 0*a + 1/42*a**4. Let g(f) = 0. What is f?
0, 2/5, 2/3
Let r(t) be the first derivative of -2/3*t**3 + 18 + 8*t - 1/2*t**4 + 4*t**2. Factor r(c).
-2*(c - 2)*(c + 1)*(c + 2)
Suppose 5*z - 3 = 4*b, -32*z + 25*z = b - 24. Let y = 145/3 + -43. Determine h so that -20*h**2 - 14/3*h**b - 24*h - y = 0.
-2, -2/7
Let b be 1/2 + 3/(-6). Factor -d + 4 + b - 7*d + 2*d**3 + 4 - 2*d**2.
2*(d - 2)*(d - 1)*(d + 2)
Let a be ((-6)/18)/((-2)/24). Factor -8 - 11*s**2 + 28 - a*s**2 - 2*s**3 - 3*s**3.
-5*(s - 1)*(s + 2)**2
Suppose 0 = -406*x - 567*x + 231*x. Factor x + 8/5*n**2 + 0*n + 2/5*n**3.
2*n**2*(n + 4)/5
Let t be 1/(-9)*-6 + 70/84. Factor -t*m**2 - 3/2*m**3 + 0 + 3*m.
-3*m*(m - 1)*(m + 2)/2
Let t(q) = -2*q**2 + 53*q - 252. Let i(j) = -j**2 + 26*j - 124. Let l(u) = 13*i(u) - 6*t(u). Find v such that l(v) = 0.
10
Let b(d) = 4*d**2 - 3*d**2 + 81 - 42 + 15*d. Let j be b(-12). Determine n so that 6/5*n**2 + 2/5 - 6/5*n - 2/5*n**j = 0.
1
Suppose 5*n + 22 = -2*t + 8, 2*n = -4*t - 44. Let u be (t/14)/(-5 + (-144)/(-42)). Determine l so that 8/11 - 2/11*l**3 + 0*l - u*l**2 = 0.
-2, 1
Suppose 5 = -d + 2*r, -d - 3*r = -6*r + 10. Suppose 0 - 9*c + 10 - 3*c**2 + 9*c**3 + 1 - d - 3*c**4 = 0. What is c?
-1, 1, 2
Let u(a) be the second derivative of -a**5/80 - 11*a**4/48 - a**3 + 9*a**2/2 + 344*a. Factor u(h).
-(h - 1)*(h + 6)**2/4
Suppose 20/9 + 2/3*u - 2/9*u**2 = 0. What is u?
-2, 5
Let f be 0 - -3*-3*(-4)/18. Factor -1/3*a**f - 1/6*a**3 + 1/6*a + 1/3.
-(a - 1)*(a + 1)*(a + 2)/6
Let j(w) = -27*w - 133. Let x be j(-5). Let o(c) be the second derivative of -3*c - 3/20*c**5 + 0*c**4 + 0 + 0*c**x + 1/2*c**3. Factor o(a).
-3*a*(a - 1)*(a + 1)
Let c(f) be the second derivative of 3*f**3 + 0 - 1/4*f**4 - 27/2*f**2 + 4*f. Determine g so that c(g) = 0.
3
Let g(v) be the third derivative of -v**10/90720 - v**9/22680 + 2*v**4/3 - v**3/2 + 3*v**2 + 1. Let a(o) be the second derivative of g(o). Solve a(c) = 0 for c.
-2, 0
Let o(i) be the first derivative of -8*i**6/9 + 152*i**5/15 - 433*i**4/12 + 239*i**3/9 + 220*i**2/3 - 400*i/3 + 595. Determine n, given that o(n) = 0.
-1, 5/4, 4
Let c(r) be the second derivative of 37/36*r**4 + 0*r**2 - 5*r + 0 - 8/15*r**5 + 1/18*r**6 - 5/9*r**3. Factor c(v).
v*(v - 5)*(v - 1)*(5*v - 2)/3
Let r(v) be the second derivative of 0 - 32/3*v**4 + 11*v + 10/21*v**7 + 38/5*v**5 - 4*v**2 - 44/15*v**6 + 26/3*v**3. Factor r(t).
4*(t - 1)**4*(5*t - 2)
Let o be (-1)/5*(175/(-28))/5. Let x(m) be the second derivative of 5/6*m**3 + m**2 + 0 + 6*m + o*m**4. Factor x(a).
(a + 1)*(3*a + 2)
Let a(t) be the second derivative of t**5/16 + 65*t**4/16 + 665*t**3/8 + 1805*t**2/8 - 64*t. Factor a(v).
5*(v + 1)*(v + 19)**2/4
Let h(i) be the second derivative of 0 - 1/6*i**6 + 0*i**3 + 0*i**4 - 1/2*i**5 - 4*i 