480 + v**5/24 + 443*v**4/96 + 18*v**3 - 8129*v**2. Find s, given that q(s) = 0.
-16, -1, 27
Factor 77*t**4 + 1915495*t**2 - 1886*t**3 - 70848*t - 1896055*t**2 - t**5 - 22*t**3.
-t*(t - 41)*(t - 12)**3
Let z(b) be the third derivative of -b**6/200 - 46*b**5/25 + 371*b**4/40 - 93*b**3/5 + 492*b**2. Factor z(n).
-3*(n - 1)**2*(n + 186)/5
Let -4*a**5 - 476*a**2 + 507*a - 1592*a**3 - 156*a**4 + 1089*a + 2141 - 697 - 414*a**2 - 398*a**2 = 0. What is a?
-19, -1, 1
Suppose -2/9*y**2 + 314/9*y - 104/3 = 0. Calculate y.
1, 156
Let u = -244317/80 - -3054. Let o(m) be the second derivative of -27/8*m**2 - 15/8*m**3 + 17*m - u*m**5 - 7/16*m**4 + 0. Let o(q) = 0. Calculate q.
-3, -1
Factor -6145*z**2 + 44149*z**2 - 4*z**3 - 120358668*z + 11389797112 - 17762539246 + 62971185665 + 70460190321.
-4*(z - 3167)**3
Let i(b) be the second derivative of b**6/25 - 129*b**5/50 + 123*b**4/10 - 121*b**3/5 + 24*b**2 - 2*b + 536. Factor i(f).
6*(f - 40)*(f - 1)**3/5
Let c = 1407961/1759945 - 1/351989. Let -7/5*q**3 + c*q + 0 + 4/5*q**4 - 4/5*q**2 + 3/5*q**5 = 0. Calculate q.
-2, -1, 0, 2/3, 1
Let f(t) = -5*t**2 - 500*t + 1145. Let r(v) = v + 23. Let j(p) = f(p) - 5*r(p). Factor j(c).
-5*(c - 2)*(c + 103)
Suppose 63 + 396 = 153*n. Let r(d) be the second derivative of -2*d**2 + 0 + 14*d - 7/12*d**n + 1/24*d**4. Factor r(y).
(y - 8)*(y + 1)/2
Suppose -151*d = 182*d - 415*d + 164. Factor -3/5*y**3 + 0 + 21/5*y**d + 24/5*y.
-3*y*(y - 8)*(y + 1)/5
Let -84/17*h - 82/17 - 2/17*h**2 = 0. Calculate h.
-41, -1
Suppose -2*r = -3*y + 70, 0 = -5*y + 5*r + 24 + 96. Suppose 0 = 4*o - u - 14, -5*u = -4*o + 7*o - y. Suppose -7/2 - 1/2*i**2 + o*i = 0. Calculate i.
1, 7
Suppose -654 = -53610*v + 53392*v. Factor -22/7*a**v + 3/7*a**4 - 44/7*a**2 + 9/7 - 10/7*a.
(a - 9)*(a + 1)**2*(3*a - 1)/7
Let k(x) = 5*x**4 - 7*x**3 - 20*x**2 + 60*x - 4. Let y(l) = -10*l**4 + 16*l**3 + 40*l**2 - 120*l + 7. Let u(q) = -7*k(q) - 4*y(q). Determine h so that u(h) = 0.
-2, 0, 2, 3
Let u(h) = 6*h**2 - 21*h. Let j be u(4). Suppose -j*q = -10*q - 12. Determine v, given that 34/7*v**4 - q*v**3 - 4/7*v - 10/7*v**5 + 0 + 22/7*v**2 = 0.
0, 2/5, 1
Let h(g) be the second derivative of -2*g**7/21 - 4*g**6/15 + 2*g**4/3 + 2*g**3/3 - 332*g + 2. Factor h(p).
-4*p*(p - 1)*(p + 1)**3
Let u be (-9 - -14)*((-3535)/45450 - ((-11)/(-6) + -2)). Let -20/9*j**5 + 10/3*j - 50/9*j**2 - 10/9*j**3 + 6*j**4 - u = 0. Calculate j.
-1, 1/5, 1/2, 1, 2
Let s(p) = 153*p**2 + 153*p + 909. Let o(x) = 183*x**2 + 153*x + 906. Let f(i) = 5*o(i) - 6*s(i). Solve f(w) = 0.
-44, -7
Let b(r) be the third derivative of -r**5/75 - 6*r**4/5 + 152*r**3/15 - r**2 - 1. Factor b(p).
-4*(p - 2)*(p + 38)/5
Suppose 0 = -5*l - 5*t + 120, 0*t - 5*t - 18 = -l. Let -49 + 30*j**2 + 9 - 8*j + 39*j**3 + 173*j**4 - 171*j**4 - l*j**3 = 0. What is j?
-5, -2, 1
Let v(i) be the second derivative of -2/9*i**3 + 41*i + 0 - 2/3*i**2 + 2/9*i**4. Factor v(l).
4*(l - 1)*(2*l + 1)/3
Let m be (-6)/8 - 3927/28. Let r be m/(-15) - (-4)/(-10). Factor r - z**2 - 20 + 2*z**3 - z**4 + 11.
-z**2*(z - 1)**2
Let d(p) be the third derivative of p**7/315 - 11*p**6/180 + 17*p**5/90 + 11*p**4/36 - 2*p**3 - 1800*p**2. Determine s so that d(s) = 0.
-1, 1, 2, 9
Determine o, given that -3710/3*o**2 - 2/3*o**5 - 10976/3 - 662/3*o**3 - 58/3*o**4 - 10192/3*o = 0.
-7, -4
Suppose -2/17*v**3 + 24/17*v + 0*v**2 - 32/17 = 0. What is v?
-4, 2
Let t(h) = h**3 - 2*h**2 - 23*h + 57. Let j be t(3). Let o be j/(-30) + (1 + 5)/(-60). Factor o*y + 0 - 3/2*y**2.
-3*y**2/2
Let y(h) be the first derivative of -h**4/3 + 10*h**3/3 - 8*h**2 - 7*h - 33. Let b(f) be the first derivative of y(f). Let b(s) = 0. Calculate s.
1, 4
Let x = -4 - -9. Let q(l) = -l**3 + 4*l**2 + 11*l - 21. Let k be q(x). Factor 12*g**3 + 3 - 15 - 11*g**3 + 16*g**2 - k*g**3 + 8*g - 4*g**4.
-4*(g - 1)**2*(g + 1)*(g + 3)
Let b be (-2553)/(-22126)*(-26)/(-30). Let 17/10*i**2 + 1/10*i**3 - b*i - 17/10 = 0. What is i?
-17, -1, 1
Let b(k) be the third derivative of -k**7/63 - 9*k**6/20 - 91*k**5/90 - 5*k**4/12 + 34*k**2. Solve b(z) = 0.
-15, -1, -1/5, 0
Suppose -12 + 4 = -2*f. Let c(n) = -n + n + 5*n - f*n. Let x(r) = -2*r**2 + 2*r + 2. Let y(a) = 2*c(a) - x(a). Factor y(i).
2*(i - 1)*(i + 1)
Let q(l) be the third derivative of -l**5/120 + 31*l**4/24 - 961*l**3/12 - 3540*l**2. Factor q(v).
-(v - 31)**2/2
Let a(l) be the second derivative of 175*l - 1/6*l**6 + 15/4*l**4 - 9/4*l**5 + 5/42*l**7 + 0*l**3 + 0 + 0*l**2. Factor a(m).
5*m**2*(m - 3)*(m - 1)*(m + 3)
Let x be -103 + 2 + -4 + 6. Let y be (x/165)/((-8)/5). Factor -y*n + 3/2*n**2 - 3/2 + 3/8*n**3.
3*(n - 1)*(n + 1)*(n + 4)/8
Suppose -10 = 5*i - 30. Let y be 15 - 1*(-14)/(-84)*89. Factor y*g**i + 0 - 1/2*g**2 + 1/3*g**3 + 0*g.
g**2*(g - 1)*(g + 3)/6
Let m(x) = 13*x**2 + 11*x + 12. Let f = 49 + -52. Let d(a) = 10*a**2 + 10*a + 12. Let v(i) = f*m(i) + 4*d(i). What is s in v(s) = 0?
-4, -3
Factor 197138 + 3130*c + 5*c**2 - 78280 - 72273 + 133803 + 309457.
5*(c + 313)**2
Let z(q) be the third derivative of 1/10*q**4 + 0*q**3 - 6*q**2 + 0*q + 4/525*q**7 - 2/75*q**5 - 1 - 2/75*q**6 + 1/420*q**8. Suppose z(d) = 0. Calculate d.
-3, -1, 0, 1
Factor -2238*p - 21*p**2 - 82*p**2 + 123*p**2 + 252*p - 1984 - 22*p**2.
-2*(p + 1)*(p + 992)
Let a(g) be the first derivative of -g**3/12 + 282*g**2 - 318096*g - 3765. Factor a(z).
-(z - 1128)**2/4
Let p = 7243 + -7239. Suppose -98/9*z**p + 16/9 + 154/9*z**3 + 44/3*z**2 - 104/9*z = 0. What is z?
-1, 2/7, 2
Suppose -4*w - 8052 = -3*b, -3*w + 8061 = 3*b - 4*w. Solve -4*z**4 + 96*z**3 - 113*z**2 - b*z + 0*z**3 - 1484 - 239*z**2 - 1652 = 0 for z.
-2, 14
Let b(w) be the second derivative of -w**7/490 - w**6/70 - w**5/35 - 39*w**2/2 + 60*w. Let g(j) be the first derivative of b(j). Factor g(d).
-3*d**2*(d + 2)**2/7
Suppose -12*u + 6*u = -66. Let n = u - 97/9. Suppose -2/9*o - 8/9*o**2 + 8/9 + n*o**3 = 0. Calculate o.
-1, 1, 4
Factor 57*o**3 - 432*o + 4*o**4 - 443792 + 100*o**2 + 444048 + 15*o**3.
4*(o - 1)**2*(o + 4)*(o + 16)
Let k(n) be the second derivative of n**5/90 - n**4/54 - 22*n**3/27 + 40*n**2/9 + 1370*n. Factor k(h).
2*(h - 4)*(h - 2)*(h + 5)/9
Let a(d) be the first derivative of 9/2*d**2 + 0*d - 8/3*d**3 - 1/4*d**4 + 143. Let a(t) = 0. Calculate t.
-9, 0, 1
Let l(j) be the first derivative of -35*j**6 - 551*j**5 - 2835*j**4/4 - 170*j**3/3 + 60*j**2 + 1749. Suppose l(p) = 0. Calculate p.
-12, -1, -2/7, 0, 1/6
Suppose -3*o = -2*g - 15, 0*o + o - 5 = -3*g. Suppose 25*w - 180 = 10*w. Factor -16*h**2 - 6*h**5 + 4*h**4 + 16*h - w*h**3 + 10*h**o + 4*h**4.
4*h*(h - 1)**2*(h + 2)**2
Let c be 381/6 + 20/(-4). Let v = -58 + c. Determine s so that -v*s + 1/2*s**3 + 1/4 + 0*s**2 - 1/4*s**4 = 0.
-1, 1
Let w(a) = -a**3 - 4*a**2 + 3*a. Let x be w(-4). Let z be (x/14)/6 + 561/7. Find v, given that 18*v - 26*v - 3*v**2 - z*v**4 + 11*v**2 + 60*v**2 - 124*v**3 = 0.
-2, 0, 1/5, 1/4
Let m(j) be the second derivative of 216*j + 2/9*j**4 - 2/45*j**6 - 1/63*j**7 + 0*j**2 + 0 - 4/9*j**3 + 1/10*j**5. Factor m(w).
-2*w*(w - 1)**2*(w + 2)**2/3
Let a(t) = 5*t**2 - 5*t. Let s be ((-2)/(-5))/(6/30). Let g be a(s). Factor -151*j**2 - 12*j**3 + 156*j**2 + g*j - 5*j**4 + 2*j**3.
-5*j*(j - 1)*(j + 1)*(j + 2)
Let k(i) be the second derivative of i**7/210 + i**6/120 - i**5/12 + i**4/8 - 27*i**2 + 21*i. Let b(a) be the first derivative of k(a). Factor b(j).
j*(j - 1)**2*(j + 3)
Let f(s) = -17*s - 221. Let q be f(-13). Suppose q = -3*t + 2*r + 4, 2*t + 3*r + 8 = -r. Factor t*j + 1/4*j**2 - 1/4.
(j - 1)*(j + 1)/4
Let v = -114 - -117. Factor -45*h**2 - 5*h**v + 89*h + 49*h - 178*h.
-5*h*(h + 1)*(h + 8)
Let w(u) = 35*u**3 - 125*u**2 - 590*u - 385. Let b(c) = 9*c**3 - 31*c**2 - 148*c - 96. Let l(z) = -15*b(z) + 4*w(z). Find r such that l(r) = 0.
-2, -1, 10
Suppose -4*x + 8 = 2*s, -s = 4*s + 5*x - 15. Determine y so that 45*y**s - 547*y - 5*y**3 + 95*y**2 - 433*y = 0.
0, 14
Let a(f) = -10*f**2 - 20*f - 26. Suppose -b + 4 + 4 = 0. Let l(q) = -39 + b + 17 - q + 13 - q**2. Let x(t) = -a(t) + 8*l(t). Suppose x(o) = 0. What is o?
-3
Let h = 1986 - 23827/12. Let n(s) be the first derivative of 7 - 1/16*s**4 - 3/8*s**2 + h*s**3 - 9/4*s. Determine d, given that n(d) = 0.
-1, 3
Factor 5/4*o**2 + 265/2*o + 0.
5*o*(o + 106)/4
Find i such that -558*i**2 + 8274*i - 5704923 + 1149*i**2 - 594*i**2 = 0.
1379
Let t be 3 - (0