rmine m so that 3/5*m**k - 3/5*m**2 + 0*m + 0 = 0.
0, 1
Let b(k) be the first derivative of -k**6/6 + 76*k**5/5 - 142*k**4 + 1664*k**3/3 - 1096*k**2 + 1088*k - 703. Find v, given that b(v) = 0.
2, 68
Let x(v) be the first derivative of 12/25*v**5 - 6/5*v**2 + 2/5*v**4 - 4/5*v + 2/15*v**6 - 8/15*v**3 - 95. Factor x(g).
4*(g - 1)*(g + 1)**4/5
Let c(w) be the second derivative of 1 - 5/16*w**2 + 1/96*w**4 - 1/12*w**3 + 20*w. Suppose c(k) = 0. Calculate k.
-1, 5
Solve 72/7*y**2 + 74/7*y - 2/7*y**3 + 0 = 0.
-1, 0, 37
Suppose -2*b - 12*d + 8 = -7*d, 4*d - 26 = -3*b. Let -6*g**2 + 5*g**4 + 97*g + 5*g**3 - 345*g - b*g**2 + 108*g + 120*g = 0. Calculate g.
-2, -1, 0, 2
Let b = -5908 + 5912. Let o(n) be the third derivative of 5/6*n**3 + 0 + 25/12*n**5 + 25/12*n**b + 0*n + 17*n**2. Factor o(g).
5*(5*g + 1)**2
Let i = -37 - -40. Determine a so that -44*a**4 - 465*a**3 - 8 - 404*a**3 + 52*a**2 + 905*a**i - 36*a = 0.
-1, -2/11, 1
Suppose 40*w - 56*w - 10*w = -130. Find a, given that -1024/3 + 16/3*a**w + 1472/3*a**3 + 3712/3*a**2 + 1024*a + 84*a**4 = 0.
-4, 1/4
Determine n so that -860/3*n + 4/3*n**3 - 568 + 848/3*n**2 = 0.
-213, -1, 2
Let k(p) be the first derivative of -4/3*p + 17/12*p**2 - 5/9*p**3 + 1/24*p**4 + 51. Factor k(t).
(t - 8)*(t - 1)**2/6
Suppose -3*a + 34*t + 21 = 33*t, 35 = 5*a + 3*t. Let m be 2/a + 36/21. Factor 1/4*s**m + 0 - 1/2*s.
s*(s - 2)/4
Factor 3054/7*d - 777243/7 - 3/7*d**2.
-3*(d - 509)**2/7
Let y(g) = -6*g - 10*g - 161 + 227. Let m be y(4). Find j such that -2/9*j**3 - 16/9 - 4/3*j**m - 8/3*j = 0.
-2
Let k(p) be the third derivative of -p**6/40 + 4*p**5/5 - 41*p**4/8 + 13*p**3 - 2146*p**2. Factor k(x).
-3*(x - 13)*(x - 2)*(x - 1)
Let h = 48 + -46. Let i = 24 - h. Determine x so that i + 22 + 4*x**2 + 73 - 40*x - 17 = 0.
5
Let k be 15/10 - ((-36)/8 - 2). Determine w so that k*w**2 - 8*w - 2*w**5 + 6*w**3 - 4*w**4 + 57104 - 57104 = 0.
-2, 0, 1
Let y(r) = r**3 + 56*r**2 - 56*r + 51. Let g be y(-57). Let i be (g/(-1) - (29 + -16)) + 10. Factor -38/7*m**2 + 32/7*m + 8/7 + 10/7*m**i.
2*(m - 2)**2*(5*m + 1)/7
Factor -124/7 - 250/7*d - 4/7*d**2.
-2*(d + 62)*(2*d + 1)/7
Factor 7*y**4 + 3309*y**3 + 4514016*y + 8*y**4 + 4754064*y - 6*y**4 - 2336064 + 3*y**4 + 303876*y**2.
3*(y + 92)**3*(4*y - 1)
Let r(m) be the third derivative of 2*m**3 + 17/6*m**4 + 178*m**2 + 0 + 0*m + 3/40*m**6 + 13/12*m**5. Solve r(s) = 0 for s.
-6, -1, -2/9
Suppose -15*r + 301 = 241. Let u(y) be the first derivative of 0*y**2 - 16 + 1/6*y**3 - 1/16*y**r + 0*y. Let u(w) = 0. Calculate w.
0, 2
Let r(h) = -248*h + 746. Let o be r(3). Let w(j) = j**3 + 6*j**2 - 7*j. Let i be w(-7). Factor 1/8 - 1/8*u**o + i*u.
-(u - 1)*(u + 1)/8
Let q be 1/8*58 - 9/36. Let s(y) = y**3 - 7*y**2 + y - 5. Let j be s(q). Factor -4*h**3 - j*h + 5*h + h**5 + 21*h**4 - 2 - 21*h**4 + 2*h**2.
(h - 1)**3*(h + 1)*(h + 2)
Let s(n) be the second derivative of -n**4/36 + 19*n**3/18 + 36*n**2 - 891*n. Factor s(t).
-(t - 27)*(t + 8)/3
Suppose -4*u + 45 = -19. Suppose -u*x**4 + 33*x**2 - 51*x**2 + 24*x - 4*x + 4 - 20*x**3 + 30*x**2 = 0. What is x?
-1, -1/4, 1
Let b(q) = 13*q**3 + 8*q**2 + q - 8. Let d be b(7). Let u = 5789 - 939. Factor u + z + z**2 - d.
z*(z + 1)
Solve -49499532/5 - 3/5*c**2 + 24372/5*c = 0.
4062
Suppose -19/2*i**2 - 1/2*i**3 + 1/2*i**4 - 11/2*i + 15 = 0. Calculate i.
-3, -2, 1, 5
Let t(g) be the third derivative of 1/180*g**6 - 1/6*g**5 + 0*g**4 - 14*g**2 + 0*g + 0*g**3 + 0. Determine x so that t(x) = 0.
0, 15
Factor -20/13 - 58/13*l - 54/13*l**2 - 14/13*l**3 + 2/13*l**4.
2*(l - 10)*(l + 1)**3/13
Let f = 18511/26939 + -347/2449. Find m such that 4/11*m - 2/11*m**2 + f = 0.
-1, 3
Let j(d) = -d**3 + d**2 - 2. Let w(t) = 12*t**3 - 148*t**2 + 136*t + 32. Let q(o) = -16*j(o) - w(o). Factor q(g).
4*g*(g - 1)*(g + 34)
Let a(b) be the third derivative of 1/3*b**3 - 2*b - 1/8*b**6 + 11/60*b**5 + 0 - 26*b**2 + 5/8*b**4 - 13/210*b**7. Solve a(g) = 0.
-1, -2/13, 1
Let k be (-13 - -9)/(-1*2). Solve -n**2 - n**k - 12*n + 5*n**2 - 8 - 7*n**2 = 0.
-2, -1
Let l be 2/13 - 189/(-1053). Let u(x) be the first derivative of 10 + l*x**2 - 1/9*x**3 + 0*x. Suppose u(n) = 0. Calculate n.
0, 2
Let z(l) be the first derivative of l**5/210 + 3*l**4/28 + 6*l**3/7 + 62*l**2 + 153. Let c(t) be the second derivative of z(t). Factor c(j).
2*(j + 3)*(j + 6)/7
Let h(n) be the third derivative of -1/100*n**6 + 1/25*n**5 - 2/5*n**3 + 1/20*n**4 + 0 + 68*n**2 + 2*n. Factor h(z).
-6*(z - 2)*(z - 1)*(z + 1)/5
Let s = -338/9 - -341/9. Let y be (1/(-3)*(-10 - -16))/(-12). Factor -s + 1/2*z - y*z**2.
-(z - 2)*(z - 1)/6
Let d(b) be the second derivative of 1 + 5/42*b**7 + 14*b - 7/4*b**5 + 10*b**3 - 20*b**2 + 5/6*b**4 + 0*b**6. Let d(z) = 0. Calculate z.
-2, 1, 2
Let j(t) be the second derivative of 5/6*t**3 + 3/7*t**2 + 5/28*t**5 + 2/105*t**6 + 0 + 25/42*t**4 + 122*t. Find f such that j(f) = 0.
-3, -2, -1, -1/4
Let j(s) be the second derivative of -338*s**6/105 - 13*s**5 + 152*s**4/21 - 8*s**3/7 - 56*s. Solve j(f) = 0.
-3, 0, 2/13
Suppose -17*o - 5861 = 1738. Let c = -893/2 - o. Determine u, given that c*u**2 - 7/2*u + 0 = 0.
0, 7
Find v, given that 398*v**2 + 384*v**2 - 40*v**4 + 15*v**4 - 1295*v**3 - 102*v + 803*v**2 - 163*v = 0.
-53, 0, 1/5, 1
Factor 15/4*k**3 + 321/4*k + 183/4*k**2 + 153/4.
3*(k + 1)**2*(5*k + 51)/4
Let i(d) be the first derivative of 2*d**5/55 + 45*d**4/11 - 182*d**3/33 - 4255. Factor i(a).
2*a**2*(a - 1)*(a + 91)/11
Let j = -9/257 + 1487/13107. Let z(b) be the first derivative of 0*b**4 + 5 + 0*b + 1/17*b**2 + j*b**3 - 1/51*b**6 - 4/85*b**5. Factor z(q).
-2*q*(q - 1)*(q + 1)**3/17
Let o(q) = 16*q**2 - 24*q - 5. Let i(c) = 28*c**2 + 67*c - 112*c**2 + 17*c + 18 + 27*c**2. Let y(z) = -5*i(z) - 18*o(z). Factor y(s).
-3*s*(s - 4)
Factor 2900*o**2 + 5788*o + 2892 + 9261*o**3 - 4629*o**3 - 4628*o**3.
4*(o + 1)**2*(o + 723)
Solve 274*v**5 - 361*v**2 + 116*v + 34 - 18 - 169*v**2 + 734*v**3 - 188*v**5 - 422*v**4 = 0 for v.
-4/43, 1, 2
Let i(f) be the second derivative of -2*f**7/63 - 2*f**6/45 + 16*f**5/15 - 20*f**4/9 - 2*f - 1238. Factor i(s).
-4*s**2*(s - 2)**2*(s + 5)/3
Suppose a = -3*n - 0*a - 70, -2*n - 48 = 2*a. Let j(g) = 5*g**2 + 115*g + 5. Let y be j(n). Factor 1/2*i**4 + 0*i - 1/4*i**3 - 1/4*i**y + 0*i**2 + 0.
-i**3*(i - 1)**2/4
Let o(t) be the first derivative of t**9/13608 - t**7/3780 + 2*t**3/3 + 17*t + 55. Let n(m) be the third derivative of o(m). Factor n(k).
2*k**3*(k - 1)*(k + 1)/9
Let i(s) = -3*s**4 + 2*s**3 + s**2 + 2. Let j(f) = -2*f**2 - f - 4*f**2 - 15 + 10 + 2*f**4 + 4 + 5*f**2. Let c(x) = -i(x) - 2*j(x). Factor c(p).
-p*(p - 1)*(p + 1)*(p + 2)
Suppose 0 - 268/7*v**2 - 8/7*v**5 - 36*v**3 + 260/7*v + 268/7*v**4 = 0. Calculate v.
-1, 0, 1, 65/2
Let u(i) be the second derivative of -i**8/25200 - i**7/18900 + 11*i**4/12 + 2*i - 8. Let m(q) be the third derivative of u(q). Factor m(x).
-2*x**2*(2*x + 1)/15
Solve -192*n**2 + 64*n**3 + 0 + 2/3*n**5 + 44/3*n**4 + 0*n = 0.
-12, 0, 2
Let p(m) be the second derivative of m**9/143640 + m**8/31920 - m**7/7980 + 79*m**4/12 + 228*m. Let q(r) be the third derivative of p(r). Factor q(t).
2*t**2*(t - 1)*(t + 3)/19
Let s(y) = -9*y**4 + y**3 + 12*y**2 - y - 3. Let r(f) = -8*f**4 + 10*f**2 - 2. Let w(b) = -7*b + 84. Let c be w(11). Let n(j) = c*r(j) - 6*s(j). Factor n(m).
-2*(m - 1)*(m + 1)**2*(m + 2)
Suppose 3*k = 2*z + 62, -17*z - 38 - 33 = 3*k. Let j(y) be the first derivative of 6*y + k - 2*y**2 - 2/3*y**3. Find s such that j(s) = 0.
-3, 1
Let p be (-3 - -11)/2 - 10983/2394. Let c = -5/57 - p. Factor -o**2 + 0 + 1/2*o**4 + 0*o - c*o**3.
o**2*(o - 2)*(o + 1)/2
Suppose -5 + 5 = -59*w. Let c(n) be the first derivative of -2/85*n**5 + 11 + w*n**2 + 0*n - 4/51*n**3 + 3/34*n**4. Suppose c(r) = 0. Calculate r.
0, 1, 2
Let q be 7 - (1 + 1)*4. Let x(f) = -5*f**3 + 3*f + 1. Let m be x(q). Solve -3/4*o + 27/8*o**2 - 21/8*o**m + 0 = 0.
0, 2/7, 1
Let l = -209/9540 + 7/212. Let q(x) be the second derivative of 0*x**6 + l*x**5 + 0 - 5*x + 0*x**4 - 1/54*x**3 + 0*x**2 - 1/378*x**7. Factor q(c).
-c*(c - 1)**2*(c + 1)**2/9
Let b(i) be the first derivative of 7 + 5/3*i**3 - 15/2*i**2 + 0*i. Factor b(m).
5*m*(m - 3)
Let c be (29264/120)/(-31) - -8. Let n(b) be the second derivative of 2/5*b**5 + 8*b**2 - c*b**6 - 16/3*b**3 + b**4 + 0 - 21*b. Find y, given that n(y) = 0.
-2, 1,