be the first derivative of -79 - 5/3*g**3 - 5/4*g**4 + 5/2*g**2 + 5*g. Factor p(v).
-5*(v - 1)*(v + 1)**2
Let x = -7153075 + 13104432793/1832. Let k = 10/229 - x. Find q such that 27/2 + 9/2*q + k*q**2 = 0.
-6
Let h(g) be the first derivative of 22 - 1/46*g**4 - 88/23*g**3 - 170368/23*g - 5808/23*g**2. Factor h(f).
-2*(f + 44)**3/23
Let z(b) be the first derivative of b**7/1120 + 7*b**6/480 + b**5/10 + 3*b**4/8 - 35*b**3/3 - 66. Let n(p) be the third derivative of z(p). Solve n(f) = 0.
-3, -2
Let y(g) be the first derivative of -3*g**6/2 + 33*g**5/5 + 21*g**4/4 - 47*g**3 + 30*g**2 + 36*g + 1850. Let y(o) = 0. Calculate o.
-2, -1/3, 1, 2, 3
Factor 0 + 982802/9*m + 326666/3*m**2 + 2/9*m**4 - 934/3*m**3.
2*m*(m - 701)**2*(m + 1)/9
Let a(b) = 2*b**3 + 11*b**2 - 66*b - 158. Let s be a(-2). Find j such that 0*j + 0 - 180/7*j**3 + 0*j**s + 4/7*j**4 = 0.
0, 45
Let z = 558608/105 + -5320. Let g(s) be the third derivative of -z*s**5 - 9*s**2 + 2/21*s**4 + 0 + 0*s + 0*s**3 - 1/42*s**6. Let g(h) = 0. What is h?
-2, 0, 2/5
Let c(q) be the first derivative of -5/4*q**4 - 35*q**2 + 43 + 25*q**3 + 0*q. Factor c(o).
-5*o*(o - 14)*(o - 1)
Let r(m) be the first derivative of 149*m**3/18 + 199*m**2/2 + 8*m/3 + 1061. Factor r(u).
(u + 8)*(149*u + 2)/6
Factor -856/3*t + 205/3 + 4/3*t**3 + 143/3*t**2.
(t - 5)*(t + 41)*(4*t - 1)/3
Let j be ((-344)/(-40))/(1/5). Let t = j - 41. Factor -3*c - 6*c**t + 5*c**2 - 3*c**2 - 9*c.
-4*c*(c + 3)
Let a(h) be the first derivative of h**5/45 + 50*h**4/9 + 10198*h**3/27 + 1100*h**2 + 1089*h + 2487. Factor a(p).
(p + 1)**2*(p + 99)**2/9
Let g(w) be the third derivative of -2*w**7/21 + 16*w**6/15 - 24*w**5/5 + 32*w**4/3 - 32*w**3/3 + 414*w**2. Suppose g(v) = 0. Calculate v.
2/5, 2
Let t(w) be the third derivative of -w**8/896 - w**7/40 + 31*w**6/320 - w**5/10 - 6*w**2 - 35*w. Factor t(s).
-3*s**2*(s - 1)**2*(s + 16)/8
Let -2069*n**2 + 207*n**3 + 2084 + 310*n - 5*n**4 + 2057 - 2731*n**2 - 517*n**3 + 664 = 0. What is n?
-31, -1, 1
Let p be (-23)/(-1) - (0 - 0). Suppose -o = 2 - p. Let -13*b**2 - 3 - 16*b**3 + o*b**2 + 12*b - 5 + 6*b**5 - 2*b**5 = 0. What is b?
-2, -1, 1
Let j(h) be the second derivative of h**6/90 - 8*h**5/15 + 37*h**4/6 + 272*h**3/9 + 289*h**2/6 + 1205*h. Solve j(x) = 0 for x.
-1, 17
Let j be (135/(-693) + 2/(-22))*2/(-2). Factor 0 + j*s**4 - 4/7*s**3 - 8/7*s - 2*s**2.
2*s*(s - 4)*(s + 1)**2/7
Let l be (15 + -25 - (-665)/76)/(2/(-8)). Factor -1/4*y**2 + 5/8*y**3 + 1/8*y**l + 0 + 0*y - 1/2*y**4.
y**2*(y - 2)*(y - 1)**2/8
Let y(c) be the third derivative of -c**6/1020 + 23*c**5/102 - 169*c**4/102 + 224*c**3/51 + 4*c**2 - 51. Let y(x) = 0. Calculate x.
1, 2, 112
Solve -1/4*w**2 + 0 + 151/4*w = 0.
0, 151
Let t(g) be the third derivative of 7*g**5/40 - 17*g**4/12 + 8*g**3/3 + 120*g**2 - 3. Factor t(l).
(3*l - 8)*(7*l - 4)/2
Suppose -90*i - d + 3*d = -85*i, -3*d = -0*d - 45. Factor i*w**2 + 0 - 2/5*w**3 + 32/5*w.
-2*w*(w - 16)*(w + 1)/5
Let j(f) be the first derivative of 5*f**3/3 - 345*f**2/2 - 710*f + 1867. Let j(d) = 0. What is d?
-2, 71
Let h(l) = 3*l + 8. Let k(j) = 25*j + 65. Let o(u) = -51*h(u) + 6*k(u). Let x be o(-10). Factor 19 - 6*g**2 - x*g - 51 + 4*g**2 - 4*g.
-2*(g + 4)**2
Let y(t) be the second derivative of t**4/114 - 3022*t**3/57 + 2283121*t**2/19 + 4193*t. Factor y(x).
2*(x - 1511)**2/19
Let u be (-2)/8*0/(-375). Factor u*v + 0 + 0*v**2 - 2/5*v**3 + 2/15*v**5 + 4/15*v**4.
2*v**3*(v - 1)*(v + 3)/15
Let c(t) be the third derivative of -t**5/150 + 19*t**4/30 + 141*t**3/5 + 3228*t**2. Factor c(r).
-2*(r - 47)*(r + 9)/5
Suppose 0 = 5*w - 1933 + 8. Let x = -1919/5 + w. Solve x - 8/5*i + 2/5*i**2 = 0.
1, 3
Let o(u) be the second derivative of u**5/40 - 55*u**4/24 + 703*u**3/12 + 759*u**2/4 - 5*u - 353. Factor o(a).
(a - 33)*(a - 23)*(a + 1)/2
Let t be (-1100)/(-175) + 64/(-224). Factor -t*m + 3/2*m**2 + 9/2.
3*(m - 3)*(m - 1)/2
Suppose -7*p + 2*p + 740 = 2*m, 0 = -4*m - 5*p + 1460. Let w be 930/m + 2/(-6). Factor -23/2*v**2 + 1/4*v**5 + 33/4*v - w + 15/2*v**3 - 9/4*v**4.
(v - 3)**2*(v - 1)**3/4
Factor -256/19 - 2/19*j**3 + 132/19*j + 126/19*j**2.
-2*(j - 64)*(j - 1)*(j + 2)/19
Let k = 4162 + -4155. Let v(g) be the third derivative of 2/105*g**k + 1/3*g**5 + 2*g**2 - 2/15*g**6 + 0 + 0*g + 0*g**3 - 1/3*g**4. Solve v(i) = 0 for i.
0, 1, 2
Let a = -2064103/15 + 137008. Let n = a - -599. Let -4/15 - 2/15*y**4 + 2/5*y**2 + 2/15*y - n*y**3 = 0. Calculate y.
-2, -1, 1
Solve 0 + 6*z**2 + 3/4*z**3 - 15*z = 0 for z.
-10, 0, 2
Let t(j) = 160*j**2 + 3396*j + 1384. Let m(n) = -23*n**2 - 485*n - 198. Let h = 695 + -715. Let r(g) = h*m(g) - 3*t(g). What is o in r(o) = 0?
-24, -2/5
Factor -676/7 - 73984/7*d**2 + 14144/7*d.
-4*(136*d - 13)**2/7
Factor 2*f**3 + 982*f + 516*f**2 - 3*f**3 + 4*f**3 + 115 - 1645 + 29*f.
3*(f - 1)*(f + 3)*(f + 170)
Let t = -212 + 216. Let h(a) be the third derivative of 20*a**2 + 0 - 1/840*a**6 - 1/420*a**5 + 0*a**3 + 0*a + 0*a**t. Let h(z) = 0. Calculate z.
-1, 0
Let l = -52485 - -52488. Factor -88/7*c**2 + 128/7 + 18/7*c**4 - 24/7*c**l + 64/7*c.
2*(c - 2)**2*(3*c + 4)**2/7
Let u = 6 + -3. Suppose -4*t - c = -u, 2*t + c = -0*c - 1. Let t*d - 3*d**2 + d + 0 + 3*d - 3 = 0. Calculate d.
1
Determine x, given that 15/7 + 1/7*x**3 - x**2 + x = 0.
-1, 3, 5
Let c(p) be the third derivative of -2*p**7/525 - 2*p**6/15 + 48*p**5/25 - 152*p**4/15 + 416*p**3/15 - 262*p**2 + 2. Let c(f) = 0. What is f?
-26, 2
Let 0 - 2016/5*x + 48/5*x**2 - 2/5*x**4 + 34/5*x**3 = 0. What is x?
-7, 0, 12
Let y(p) = -3*p**5 - 14*p**4 - 15*p**3 + 54*p**2 - 16*p - 24. Let b(f) = f**4 - 2*f**3 - 2*f. Let t(o) = 6*b(o) - y(o). Suppose t(a) = 0. What is a?
-6, -2, -2/3, 1
Let d(a) = -5*a**2 + 13*a - 10. Let v(x) = 2*x**3 + x**2 + 13*x - 14. Let z be v(1). Let p(f) = 35*f**2 - 90*f + 70. Let o(q) = z*p(q) + 15*d(q). Factor o(i).
-5*(i - 2)*(i - 1)
Factor -8*w**4 + 88*w**3 - 56183*w**2 - 4*w**4 + 56087*w**2.
-4*w**2*(w - 6)*(3*w - 4)
Factor 3*a + 637*a**3 - 4*a**2 + 8*a**5 + 578*a**3 - a**5 - 1225*a**3 + 4*a**4.
a*(a - 1)*(a + 1)**2*(7*a - 3)
Let f(r) = r**4 + 4*r**3 - r - 2. Let l(j) = 2*j**4 + 36*j**3 + 26*j**2 - 240*j - 248. Let c(n) = 4*f(n) - l(n). Suppose c(i) = 0. Calculate i.
-3, -1, 4, 10
Let f = 510 + -503. Factor 6*w**2 - 2*w**3 + 13 + 70 - f - 28*w**2 - 48*w - 4.
-2*(w - 1)*(w + 6)**2
Let s(z) be the first derivative of -6*z + 36 - 2/5*z**3 + 1/30*z**4 + z**2. Let x(r) be the first derivative of s(r). Determine g so that x(g) = 0.
1, 5
Suppose -n + 7719*j - 7724*j + 48 = 0, n + 15 = 2*j. Determine p, given that 1/4*p**2 + 0*p - 1/4*p**5 + 3/4*p**4 - 3/4*p**n + 0 = 0.
0, 1
Let c(k) be the third derivative of 0*k + 2*k**2 - 1/36*k**4 - 1/270*k**5 - 2/27*k**3 - 19. Determine j, given that c(j) = 0.
-2, -1
Let o(i) be the third derivative of i**6/60 + 19*i**5/5 + 335*i**4/12 + 74*i**3 + 9596*i**2. Factor o(v).
2*(v + 1)*(v + 2)*(v + 111)
Let q(d) be the first derivative of d**5/30 - d**3/3 - d**2/2 + 9*d - 55. Let x(s) be the second derivative of q(s). Factor x(i).
2*(i - 1)*(i + 1)
Let g(x) be the first derivative of -8*x**3/45 - 191*x**2/15 + 32*x/5 + 513. Let g(w) = 0. What is w?
-48, 1/4
Let k be -3 + 6 + ((-2117)/1022 - ((-12)/14)/(-2)). Suppose -n + k*n**3 + 0 + 1/2*n**2 = 0. What is n?
-2, 0, 1
Let z be (230/138 - 148/84) + (-374)/(-21). Factor -1922/7 + z*q - 2/7*q**2.
-2*(q - 31)**2/7
Factor -38*h - 107*h**2 - 64*h - 58*h**2 - 5*h**3 - 49*h - 9*h.
-5*h*(h + 1)*(h + 32)
Let q(o) be the second derivative of -o**4/108 - 23*o**3/54 + 35*o**2/3 - 7040*o. Suppose q(u) = 0. What is u?
-30, 7
Let n(p) be the third derivative of 0*p - 21/8*p**4 + 49/10*p**3 - 2/25*p**6 + 1 + 29*p**2 + 18/25*p**5. Solve n(v) = 0.
1, 7/4
Let b = 4574 - 4564. Let u(a) be the first derivative of 0*a + a**2 + 1/4*a**4 - b + a**3. What is z in u(z) = 0?
-2, -1, 0
Determine r, given that 663/7*r**2 + 96/7*r**3 + 0 + 3/7*r**4 - 1734/7*r = 0.
-17, 0, 2
Let a(h) = -h**2 - 2. Let z = -240 + 238. Let j(f) = 5*f**2 - 21*f - 20. Let y(x) = z*a(x) - j(x). Determine t, given that y(t) = 0.
-1, 8
Let d = 51919 + -51795. Factor -476656/3 - d*c**2 + 2/3*c**3 + 7688*c.
2*(c - 62)**3/3
Let p(l) be the second derivative of 5*l**4/12 + 10*l**3/3 - 80*l**2 + 259*l + 2. Factor p(o).
5*(o - 4)*(o + 8)
Solve 306/5*f + 0 + 579/5*f**2 + 69/5*f**4 + 3/5*f**5 + 339/5*f**3 = 0 