 = -2*i(p) - 10*s(p). Solve c(h) = 0.
-2, -1, -1/5, 0
Let q(l) be the third derivative of -24*l**2 - 11/30*l**6 + 0*l + 2/35*l**7 - 2/3*l**4 + 0*l**3 + 4/5*l**5 + 0. Factor q(v).
4*v*(v - 2)*(v - 1)*(3*v - 2)
Let f(m) be the third derivative of 1/120*m**5 + 0 - 15*m**2 + 0*m + 0*m**3 + 1/720*m**6 + 1/72*m**4. Factor f(n).
n*(n + 1)*(n + 2)/6
Let l(n) be the second derivative of n**6/30 - 2*n**5/5 + 7*n**4/4 - 3*n**3 + n + 165. Factor l(r).
r*(r - 3)**2*(r - 2)
Let b(x) = x**3 + 7*x**2 - 4*x - 25. Let u be b(-7). Factor 8*p**2 - 2*p + u*p**3 - 13*p - 2*p**2 + 6*p**2.
3*p*(p - 1)*(p + 5)
Let l be 38/1805 + (-34150)/(-2375). Find z such that -l*z - 324/5 - 4/5*z**2 = 0.
-9
Let h = -292 + 2629/9. Let m(f) be the second derivative of -1/36*f**4 + 0*f**2 - 1/60*f**5 + 0 + f + h*f**3. Factor m(b).
-b*(b - 1)*(b + 2)/3
Let q(b) be the second derivative of -b**9/1008 + b**8/240 - b**7/168 + b**6/360 - b**3 + 4*b. Let t(l) be the second derivative of q(l). Factor t(f).
-f**2*(f - 1)**2*(3*f - 1)
Let s be -4 + (-2598)/30 - 0/2. Let i = s - -91. Let i*b**2 + 4/5*b - 6/5 = 0. Calculate b.
-3, 1
Factor 1/2*v**4 + 0 + 5*v**3 + 9/2*v**2 + 0*v.
v**2*(v + 1)*(v + 9)/2
Let f(o) be the first derivative of o**7/168 + o**6/36 - o**5/8 + 11*o**3 + 28. Let w(z) be the third derivative of f(z). Determine s so that w(s) = 0.
-3, 0, 1
Suppose 2*y + 4 = 0, 2*s + 32 = -3*y + 30. Suppose -6/5*x**s - 6/5*x - 2/5 - 2/5*x**3 = 0. What is x?
-1
Let z be 1 + 2 - 4/(-2). Let c = -2 + z. Solve -4*v**3 + 0*v**c - 13*v + 9*v + 8*v**2 = 0 for v.
0, 1
Let h(f) be the first derivative of 2*f**3/69 - 3*f**2/23 - 36. Factor h(x).
2*x*(x - 3)/23
Let z(w) = 4*w**2 + 104*w + 344. Let m(p) = 6*p**2 + 104*p + 343. Let h(f) = -4*m(f) + 5*z(f). Determine x, given that h(x) = 0.
-3, 29
Factor -3/5*k**4 + 0*k + 0 - 39/5*k**3 + 0*k**2.
-3*k**3*(k + 13)/5
Let s(n) = n**2 - 34*n + 97. Let p be s(34). Let l = p + -94. Factor -3/2*m + l - 3/2*m**2.
-3*(m - 1)*(m + 2)/2
Let f(u) = -u**2 - 15*u + 2. Let w(x) = x. Let t(z) = f(z) + 2*w(z). Let v be t(-11). Factor 55 + 2*a**2 - 3*a**3 + v*a**2 - 81*a + 26 + a**2.
-3*(a - 3)**3
Let u(v) be the first derivative of -v**4 + 260*v**3 - 18816*v**2 - 38416*v + 21. Suppose u(h) = 0. Calculate h.
-1, 98
Let b(g) be the third derivative of g**7/378 - 2*g**6/45 - g**5/4 - 53*g**4/108 - 4*g**3/9 + 229*g**2. What is u in b(u) = 0?
-1, -2/5, 12
Let d(f) be the first derivative of -f**6/21 - 76*f**5/35 - 198*f**4/7 - 432*f**3/7 + 466. Let d(s) = 0. What is s?
-18, -2, 0
Factor 2/13*m**5 + 14/13*m + 0 - 20/13*m**4 - 44/13*m**2 + 48/13*m**3.
2*m*(m - 7)*(m - 1)**3/13
Let a(i) be the first derivative of -2*i**3 + 4*i**2 - 2*i - 4. Let s(v) = -13*v**2 + 17*v - 4. Suppose -4*t - 9 = 27. Let h(m) = t*a(m) + 4*s(m). Factor h(g).
2*(g - 1)**2
Let y(g) = 1087*g + 5438. Let n be y(-5). Suppose 0 + 2/3*f**2 + 4/9*f + 2/9*f**n = 0. What is f?
-2, -1, 0
Suppose 40*g + 27*g = -50*g + 32*g. Factor 3/2*y**3 - 3*y**4 + 3/2*y**5 + g + 0*y**2 + 0*y.
3*y**3*(y - 1)**2/2
Find q, given that 3/2*q**3 + 0 + 1/2*q**5 + 205/8*q**2 + 25/4*q - 31/8*q**4 = 0.
-2, -1/4, 0, 5
Let f(z) be the first derivative of 3*z**2/2 - 10*z + 8. Let i be f(4). Factor 51*j - 3*j + 7*j**i + 19 + 4*j**3 + 13 + 17*j**2.
4*(j + 2)**3
Let a(b) be the third derivative of -b**5/15 + 13*b**4/6 + 20*b**3 + b**2 - 243. Find s, given that a(s) = 0.
-2, 15
Suppose -2*h + 102 = -a, -30 = -74*h + 73*h - 3*a. Factor -36*r + 9*r**2 - 3/4*r**3 + h.
-3*(r - 4)**3/4
Suppose 99*n = 868 - 670. Solve 18/5 - 39/5*c**n - 111/5*c = 0 for c.
-3, 2/13
Let o be -118*11/176 + 0 + 8. Determine n, given that -n + o*n**2 + 1/2 - 1/8*n**3 = 0.
1, 2
Let a(o) be the third derivative of -o**7/1008 + o**6/48 - o**5/6 - 11*o**4/24 - o**2. Let n(z) be the second derivative of a(z). Suppose n(g) = 0. What is g?
2, 4
Find b such that -7/8*b**2 + 1/8*b**4 + 0 + 3/4*b**3 + 0*b = 0.
-7, 0, 1
Let b(j) = 13*j + 67. Let v be b(-5). Let c be (8/16)/(v/8). Factor -8/3 - 8/3*s - 2/3*s**c.
-2*(s + 2)**2/3
Let i(t) = 33*t - 2*t**2 + 238 + 5*t**2 - 331. Let b(h) = 2*h**2 + 16*h - 46. Let n(p) = 7*b(p) - 4*i(p). Factor n(l).
2*(l - 5)**2
Let a be (-88)/(-11) - 5*(-1 - -2). Factor 2 + 2/3*m**4 - 8/3*m**2 + 4/3*m**a - 4/3*m.
2*(m - 1)**2*(m + 1)*(m + 3)/3
Let b(y) be the third derivative of y**8/9240 + y**7/2772 + y**6/3960 + y**4/6 + 29*y**2. Let i(n) be the second derivative of b(n). Factor i(t).
2*t*(t + 1)*(4*t + 1)/11
Solve 105/4*d**2 + 27/4*d**4 + 99/4*d**3 - 3/4*d**5 + 9*d + 0 = 0.
-1, 0, 12
Factor 88/3*l - 8/3 - 242/3*l**2.
-2*(11*l - 2)**2/3
Let l be (4/32 - (-3)/(-6))*-8. Suppose -4/3 - 12*m**2 + 8*m + 16/3*m**l = 0. What is m?
1/4, 1
Let o be (1 - 1) + 3 + 0 + 9. Let q be 30/o*(-5)/((-375)/84). Find v such that -q*v - 4/5 + 18/5*v**2 = 0.
-2/9, 1
Let q(v) be the second derivative of -9*v**5/4 - 250*v**4/3 - 5665*v**3/6 - 605*v**2 + v + 165. Find o such that q(o) = 0.
-11, -2/9
Let q(n) be the first derivative of 0*n**3 + 1/30*n**4 + 1/600*n**6 + 0*n + 4*n**2 + 2 + 1/75*n**5. Let t(k) be the second derivative of q(k). Factor t(f).
f*(f + 2)**2/5
Let m = -23 - -26. Suppose 4*n + 6 = 5*k - 11, 0 = -m*n + 5*k - 19. Factor c + 0 - 1/2*c**4 - c**3 + 1/2*c**n.
-c*(c - 1)*(c + 1)*(c + 2)/2
Suppose 8 = -k + 2*k - 2*z, k - 3*z = 12. Let o(t) be the first derivative of 6 + 1/12*t**4 - 1/15*t**5 + 0*t + k*t**3 + 0*t**2. Find j, given that o(j) = 0.
0, 1
Factor -25*d**2 + 4*d**3 + 61*d**2 - 12 - 3*d + d - 26*d**2.
2*(d - 1)*(d + 2)*(2*d + 3)
Let x(w) be the first derivative of 6*w + 1/18*w**3 - 16 + w**2. Solve x(t) = 0 for t.
-6
Let l = -22 - -24. Suppose -19*a + 19*a + 4*a**l = 0. What is a?
0
Let h(t) = 2*t**5 + 2*t**4 + t**3 - t**2 + t - 1. Let g(r) = -12*r**5 + 23*r**3 + 23*r**2 + 4. Let l(z) = g(z) + 4*h(z). Determine a, given that l(a) = 0.
-1, -1/2, 0, 4
Let x(j) = 6*j + 48. Let y be x(-7). Let f be (y/9)/((-42)/(-18) + -2). Factor 3/7 + 6/7*h + 3/7*h**f.
3*(h + 1)**2/7
Let g(l) be the second derivative of l**6/40 - 3*l**5/8 + l**4/2 + 5*l**3/4 - 27*l**2/8 - 40*l. What is n in g(n) = 0?
-1, 1, 9
Let b be (-140)/30*(5 + (-107)/21). Factor -2/9*r**4 + 8/9*r**3 - 2 + b*r**2 - 8/3*r.
-2*(r - 3)**2*(r + 1)**2/9
Let x(m) = m**4 - 8*m**3 + 26*m**2 - 28*m + 12. Let v(q) = -3*q**4 + 24*q**3 - 77*q**2 + 84*q - 36. Let y(s) = 3*v(s) + 8*x(s). Suppose y(z) = 0. Calculate z.
1, 2, 3
Let q(h) = -11*h**2 - 83*h + 74. Let f(i) = -6*i**2 - 42*i + 36. Let w(l) = -5*f(l) + 3*q(l). Factor w(n).
-3*(n - 1)*(n + 14)
Let p(a) be the second derivative of 5*a**4/12 + 35*a**3/2 + 19*a - 1. Factor p(n).
5*n*(n + 21)
Let c = -43 - -45. Solve -10*z + 15*z - 20*z**3 - 15*z**c - 30*z**2 - 15*z = 0 for z.
-2, -1/4, 0
Suppose -3 = -2*b + 1. Suppose -3*x + 5*k + 9 = 2*k, -2*x + 4*k = -b. Determine c, given that 2*c**4 + c**2 + 9*c**3 + c**4 - 4*c**2 + 0*c**x - 9*c**5 = 0.
-1, 0, 1/3, 1
Suppose -3*i - 3*d - 77 = 31, -108 = 3*i - d. Let w be (i/10 - -3)*-5. Factor 0*p - 1 - 2*p + p**3 + p**4 + 0*p**4 + p**w.
(p - 1)*(p + 1)**3
Let b(t) = -t**3 + 11*t**2 - 10*t + 14. Let x be b(10). Let j = x - 4. Factor -i**2 + 5*i + 9*i - j*i - 4.
-(i - 2)**2
Suppose -4 = 3*s - 4*h, s = -3*h - 6 + 22. Let z(g) be the second derivative of 20/9*g**3 - 10/3*g**2 + 5*g - 25/36*g**s + 0 + 1/12*g**5. Solve z(r) = 0 for r.
1, 2
Let u be (-63)/(-35) + 1/(-25)*-5. Let k(w) be the second derivative of 0 + 4*w**4 + 5*w + 0*w**u - 2*w**3 - 21/20*w**5. Suppose k(r) = 0. Calculate r.
0, 2/7, 2
Let o(i) = 4*i**2 + 6*i - 2. Let h(s) = 12*s**2 + 17*s - 7. Let d be (14/(-3))/((-10)/15). Let c(l) = d*o(l) - 2*h(l). Factor c(t).
4*t*(t + 2)
Let k(h) = 10*h**2 - 2*h - 11*h**2 - 1 + h. Let p(n) = 3*n**3 + 2*n**2 + 5 + 1 + 13*n**2 + 6*n. Let x(d) = 6*k(d) + p(d). Factor x(b).
3*b**2*(b + 3)
Factor -12*h**3 + 666/7*h**2 - 156*h + 3/7*h**4 + 507/7.
3*(h - 13)**2*(h - 1)**2/7
Let b(i) = -7*i**2 - 61*i + 58. Let w(s) = -9*s**2 - 63*s + 57. Let o(t) = 3*b(t) - 2*w(t). Factor o(x).
-3*(x - 1)*(x + 20)
Let q(u) = -116*u + 466. Let m be q(4). Let 13/2*y**m - 8/3*y**4 + 1/3 - 4/3*y**3 - 17/6*y = 0. What is y?
-2, 1/4, 1
Let b(p) be the second derivative of p**5/240 - p**3/6 - 13*p**2/2 - 12*p. Let c(u) be the first derivative of b(u). Factor c(k).
(k - 2)*(k + 2)/4
Factor -24*s - 1/4*s**2 - 576.
-(s + 48)**2/4
Let a(h) be the second derivat