 + 6*d(y). Determine o so that i(o) = 0.
-2, 0, 2
Let f(y) be the third derivative of y**6/600 + 11*y**5/60 + 104*y**4/15 + 338*y**3/5 + 968*y**2. Let f(u) = 0. Calculate u.
-26, -3
Let n(o) be the first derivative of -35*o**3/3 - 39435*o**2/2 + 11270*o + 601. Factor n(y).
-5*(y + 1127)*(7*y - 2)
Let h = 3/28496 - -911863/85488. What is m in -25/6*m**4 - 130/3*m + 395/6*m**3 + h + 16*m**2 = 0?
-1, 2/5, 16
Suppose 276*j - 926*j + 4799*j = 0. Find f such that j + 1/2*f**5 + 13/6*f**4 + 2/3*f**3 + 0*f**2 + 0*f = 0.
-4, -1/3, 0
Let c be (-352)/(-220)*(-15)/(-12). Let 14*m**2 + 21*m - 35*m**2 + 9*m**2 - 3*m**3 - 18 + 12*m**c = 0. Calculate m.
-3, 1, 2
Factor -2/5*y**4 + 0 - 476*y**3 - 2384/5*y + 4766/5*y**2.
-2*y*(y - 1)**2*(y + 1192)/5
Let z(m) be the first derivative of 3*m**5/5 - 69*m**4/4 + 60*m**3 + 105. Let z(j) = 0. Calculate j.
0, 3, 20
Let z(l) be the first derivative of l**6/30 + 13*l**5/15 - l**4/6 - 26*l**3/3 + 57*l**2 + l - 94. Let o(b) be the second derivative of z(b). Factor o(i).
4*(i - 1)*(i + 1)*(i + 13)
Determine x so that -16/5 + 36/5*x**3 + 108/5*x - 148/5*x**2 + 4*x**4 = 0.
-4, 1/5, 1
Let i(d) be the third derivative of d**5/75 + 4*d**4/15 - 32*d**3/5 + 2*d**2 - 393. Let i(y) = 0. Calculate y.
-12, 4
Suppose -p = -8*p + 14. Suppose -4*z + 9 = 1. Factor 0*m**2 - m**4 + 3*m**3 + 20*m**5 + m**p - 21*m**5 - z*m.
-m*(m - 1)**2*(m + 1)*(m + 2)
Suppose 0 = -6*v + 431 + 49. Let g be 11*(v/(-110))/(-4). Factor -20/7 + 4/7*c**g - 16/7*c.
4*(c - 5)*(c + 1)/7
Let y be ((-28)/(-7))/(-19 + 21). Let a(i) be the first derivative of 0*i**y + 4*i + 1/4*i**4 + 16 - i**3. Solve a(x) = 0 for x.
-1, 2
Factor -1113 + 49*r**2 - 5*r**3 + 2187 + 36*r**2 - 1254 + 100*r + 0*r**2.
-5*(r - 18)*(r - 1)*(r + 2)
Let f(s) be the second derivative of s**5/30 - 41*s**4/63 + 55*s**3/21 + 18*s**2/7 - 188*s. What is u in f(u) = 0?
-2/7, 3, 9
Suppose 4*k - 10 = 6*k, 19 = -3*z - 5*k. Let -4 + 2*v**4 + 6*v**4 - 3*v**5 + 18*v**3 - 14*v - 5*v + 2*v**2 + 4*v - 6*v**z = 0. Calculate v.
-1, -1/3, 1, 4
Let 555025/3 + 1/3*t**2 - 1490/3*t = 0. Calculate t.
745
Let s(o) = 2*o**3 + 5*o**2 - 7*o - 7. Let x be s(-3). Factor -x*z**3 + 20 - 100*z - 168 + 68 - 40*z**2.
-5*(z + 2)**2*(z + 4)
Let s(b) = -b**3 + 6*b**2 + 18*b - 23. Let w be s(7). Let c be (4/w)/(20/120). Factor 0*a**2 + 8/9 + 4/3*a - c*a**3.
-4*(a - 2)*(a + 1)**2/9
Let p be (-1000)/(-22)*-9*(-13)/(-4914). Let f = 2/33 - p. Factor -2/7*o**3 - 2/7*o**2 + f + 8/7*o.
-2*(o - 2)*(o + 1)*(o + 2)/7
Find b such that 16*b - 4*b**3 + 45*b**2 - 32 - 116*b**2 + 42*b**2 + 37*b**2 = 0.
-2, 2
Let o be ((-756)/(-16))/((-38)/(-16) - 2). Let u = o + -122. Let -24 + 8*p + u*p**2 - 6*p + 2*p = 0. Calculate p.
-3, 2
Suppose -7525 = 15*a - 7585. Let c(t) be the first derivative of 10/3*t**3 - 3 + 8*t - 1/2*t**a - 8*t**2. Factor c(q).
-2*(q - 2)**2*(q - 1)
Let f(k) = -2*k**2 + 2*k - 1. Let m(t) = 20*t**3 - 289*t**2 + 689*t - 417. Let a(p) = -3*f(p) - m(p). Determine z, given that a(z) = 0.
1, 7/4, 12
Let w(q) be the third derivative of q**6/420 + q**5/28 - q**4/2 + 65*q**3/2 + 197*q**2. Let d(h) be the first derivative of w(h). Factor d(j).
6*(j - 2)*(j + 7)/7
Find p such that -688683*p - 739*p**5 - 882389*p + 727*p**5 - 55184*p**3 - 780672*p**2 - 438976 - 1396*p**4 = 0.
-38, -2, -1/3
Let w be ((-5 - 138/(-24)) + 0)/((-58)/(-232)). Find i such that 1/3*i**5 + 0 - i**4 + 0*i**2 + 2/3*i**w + 0*i = 0.
0, 1, 2
Let b be (-4)/14*-3*(4606/141 - 28). Suppose b*l**2 - 36/5 - 12/5*l - 4/5*l**3 = 0. Calculate l.
-1, 3
Let s(q) be the third derivative of -11*q**6/280 + 13*q**5/140 + 5*q**4/14 - 2*q**3/7 + 2775*q**2. Solve s(z) = 0 for z.
-1, 2/11, 2
Factor -23*a**4 + 2237904896*a + 203748816538 - 664757225114 + 3296*a**3 + 22*a**4 - 4073856*a**2.
-(a - 824)**4
Let o be (10 + (-1 - 15))/(-5 - -4). Let u(i) be the first derivative of 2*i**3 - 21/4*i**4 + 0*i - 6/5*i**5 + 0*i**2 + 7/2*i**o + 15. Let u(g) = 0. What is g?
-1, 0, 2/7, 1
Factor 8514*x**2 - 3951204787 - x**3 - 13136371*x - 11026361*x + 26809149259.
-(x - 2838)**3
Let m(c) be the first derivative of c**7/2520 - c**6/540 - c**5/90 + c**4/9 - 47*c**3/3 - 7. Let j(t) be the third derivative of m(t). What is a in j(a) = 0?
-2, 2
Let k(d) be the first derivative of 4*d**6 - 12*d**5 - 333*d**4/8 + 31*d**3 - 6*d**2 - 2402. Suppose k(o) = 0. Calculate o.
-2, 0, 1/4, 4
Let r(f) be the third derivative of 0*f - 4/195*f**5 - 1/2184*f**8 - 17/780*f**6 + 0 + 0*f**3 + 0*f**4 - 212*f**2 - 2/273*f**7. Find s such that r(s) = 0.
-8, -1, 0
Let h(s) be the second derivative of -5/3*s**3 - 1/150*s**5 - 4*s**2 + 0 + 10*s - 1/6*s**4. Let p(r) be the first derivative of h(r). Find u such that p(u) = 0.
-5
Find s, given that 6 - 1707*s**3 + 18*s + 39664*s**2 + 29355*s**3 + 21871*s**2 - 5663*s**2 + 1137*s = 0.
-2, -1/96
Find w such that 37*w**2 + 14*w**3 - 126*w + 45*w**2 - 132*w**2 - 2*w**4 + 56*w**2 + 108 = 0.
-3, 1, 3, 6
Let y(t) be the first derivative of 7*t**4/8 - 5*t**3/4 + 65*t + 19. Let o(b) be the first derivative of y(b). Factor o(x).
3*x*(7*x - 5)/2
Let x = -378/491 - -25193/1473. Find o such that 1/6*o**4 + 3/2*o**2 - 11/6*o**3 + x + 119/6*o = 0.
-2, -1, 7
Let v(j) be the second derivative of 0 - 62*j + 11/12*j**3 + 1/40*j**5 - 5/4*j**2 - 7/24*j**4. Let v(z) = 0. What is z?
1, 5
Let l(g) be the third derivative of -g**6/600 + 23*g**5/300 - 2*g**4/3 + 38*g**3/15 - 995*g**2. Factor l(c).
-(c - 19)*(c - 2)**2/5
Suppose -219 + 300 - 141 = -20*o. Let 0 + 1/6*k**2 - 1/6*k**4 + 0*k - 1/3*k**5 + 1/3*k**o = 0. What is k?
-1, -1/2, 0, 1
Let l(s) = 39*s**2 + 21*s - 195. Let o be l(2). Factor 13/3*q - 5/3*q**o + 10/3 + 1/3*q**4 - q**2.
(q - 5)*(q - 2)*(q + 1)**2/3
Factor 2927 - s**2 + 0*s**2 + 129*s - 2549 + 2*s**2.
(s + 3)*(s + 126)
Let r(s) = 17*s - 98. Let z be r(6). Factor 533*v**z - 538*v**4 + 8*v**3 - 53*v**3.
-5*v**3*(v + 9)
Let m(b) be the first derivative of b**5/360 - 11*b**4/72 + 121*b**3/36 + 3*b**2/2 - 58. Let t(p) be the second derivative of m(p). Factor t(x).
(x - 11)**2/6
Let l = 2109 + -1116. Let z = l - 6935/7. Factor 24/7*j**2 + 12/7*j**3 + 0 + z*j + 2/7*j**4.
2*j*(j + 2)**3/7
Let r(o) = o**4 - o**3 - o**2 - 8*o - 2. Let b(g) = 5*g**4 - 36*g**3 + 56*g**2 - 32*g - 8. Let y(n) = -b(n) + 4*r(n). Factor y(i).
-i**2*(i - 30)*(i - 2)
Suppose 32 = 4*f - 5*k + 47, 0 = 4*f - 4*k + 12. Solve -4/3*v**2 + 0*v + 0 + 4/3*v**4 + f*v**3 = 0 for v.
-1, 0, 1
Suppose -29 + 4 = -5*o. Determine f so that -28*f**2 + o*f**4 + 27*f + 30*f - 8*f**3 - 73*f - f**4 = 0.
-1, 0, 4
Let d = -34 + 37. Suppose -4*o + 0 = -2*n + 20, 3*n = -5*o - d. Determine x, given that 2*x**2 + 40*x**n - 2*x**3 + 2 - 2 - 42*x**4 + 2*x**5 = 0.
-1, 0, 1
Let d = -124987/22 - -62499/11. Determine u, given that 0 + 0*u - 7*u**3 - d*u**4 - 13/2*u**2 = 0.
-13, -1, 0
Suppose -5*h - 3*x + 63 = 0, 0 = 7*h - 5*h + 5*x - 29. Factor 3*z**4 - 917 - 9*z**3 + 917 + h*z.
3*z*(z - 2)**2*(z + 1)
Let g = 1351 + -724. Find r such that 627*r**2 + 8*r**3 + 4 - 4*r**4 - 8*r - g*r**2 = 0.
-1, 1
Let p(w) = 4*w**3 + 1705*w**2 + 179777*w - 181421. Let x(m) = -12*m**3 - 5114*m**2 - 539330*m + 544274. Let v(r) = 14*p(r) + 5*x(r). Factor v(t).
-4*(t - 1)*(t + 213)**2
Let g(w) be the second derivative of -2*w**6 - 241*w**5/5 - 454*w**4/3 - 568*w**3/3 - 112*w**2 + 5*w + 587. What is v in g(v) = 0?
-14, -1, -2/3, -2/5
Let r(z) be the first derivative of z**7/84 + z**6/30 - z**5/10 - z**4/12 + z**3/4 - 124*z + 35. Let t(h) be the first derivative of r(h). Solve t(g) = 0 for g.
-3, -1, 0, 1
Let s = 176255 - 176252. Factor -2/3*c + 0 + 5/3*c**2 - c**s.
-c*(c - 1)*(3*c - 2)/3
Let l(s) = 53*s**2 + 588*s - 86434. Let j(p) = 80*p**2 + 588*p - 86433. Let x(h) = -2*j(h) + 3*l(h). Determine m so that x(m) = 0.
294
Let w(a) = -a**2 - a + 1. Let x(l) be the third derivative of l**5/20 + l**4/4 + l**3/6 - 46*l**2. Let y(g) = -4*w(g) - 2*x(g). Solve y(o) = 0 for o.
-3, -1
Let o(c) be the third derivative of -c**8/10080 + 11*c**7/2520 - c**5/30 - 37*c**3/6 - 4*c**2 + 2*c. Let k(s) be the third derivative of o(s). Factor k(u).
-2*u*(u - 11)
Let -352/5 - 424/5*z + 4/5*z**3 - 68/5*z**2 = 0. What is z?
-4, -1, 22
Suppose -8*h = -805 + 765. Suppose -2*m + h*z + 5 = 0, -5 = -2*m + 4*z - 1. Factor 1/4*x - 1/8*x**3 - 1/8*x**2 + m.
-x*(x - 1)*(x + 2)/8
Let l(i) be the third derivative of i**5/12 + 35