*6/120 + 4*y**5/45 - 13*y**4/54 + 620*y**2. Factor o(i).
-i*(i - 2)**2*(i + 13)/9
Let g(j) = -18*j**3 + 249*j**2 - 414*j + 42. Let b(x) = -16*x**3 + 250*x**2 - 419*x + 43. Let t(i) = 6*b(i) - 7*g(i). Determine q, given that t(q) = 0.
1/10, 2, 6
Determine j, given that -17/3*j**3 - 1/3*j**4 + 0 - 16/3*j**2 + 0*j = 0.
-16, -1, 0
Let b = -4 - -6. Suppose -a - 25 = -29. Factor a + 18*u - 43*u + 17*u + 3*u**b.
(u - 2)*(3*u - 2)
Let u(a) be the second derivative of 5/2*a**4 + 49*a**2 + 33 + 21*a**3 + 1/10*a**5 - a. Solve u(b) = 0.
-7, -1
Let s(i) be the first derivative of 7*i**6/24 - 3*i**5/2 + 9*i**4/4 - 2*i**3/3 - 1672. Suppose s(t) = 0. What is t?
0, 2/7, 2
Let z(k) be the second derivative of 1/21*k**7 + 0*k**3 + 0*k**2 - 6*k**4 + 0 + 24/5*k**5 - 40*k - 13/15*k**6. Factor z(c).
2*c**2*(c - 6)**2*(c - 1)
Let m(h) = -33*h - 150. Let a be m(-5). Let u be (-2)/(-15)*-3*a/(-39). Determine o so that 32/13*o - u*o**2 - 128/13 = 0.
8
Let y(c) be the first derivative of -2*c**3/15 + 21*c**2/5 - 136*c/5 + 1586. Factor y(i).
-2*(i - 17)*(i - 4)/5
Let t(a) = 27*a + 245. Let h be t(-9). Let c(s) be the third derivative of 0 + 0*s + 0*s**4 + 0*s**3 + 1/12*s**5 + 16*s**h. Factor c(z).
5*z**2
Suppose -109*m - 153 = -344*m + 552. Determine t, given that -28/3*t**2 + 4/3*t**m + 32/3*t + 64/3 = 0.
-1, 4
Let b(q) be the second derivative of -q**7/63 - 4*q**6/45 + 7*q**4/9 + 17*q**3/9 + 2*q**2 - 1618*q. Determine z, given that b(z) = 0.
-3, -1, 2
Let f = -671015/4 + 167766. Factor -7/2*z + 1/4*z**2 + f.
(z - 7)**2/4
Let h(q) be the first derivative of 3*q**4/8 - 9*q**3/2 - 57*q**2 + 126*q + 568. Determine u so that h(u) = 0.
-6, 1, 14
Suppose n + 865 = 3*i, -4*n + 43 = 3*i - 802. Suppose -6*t = -311 + i. Factor x**2 + 5/2*x**5 + 1/2*x**3 + 0*x + 0 - 4*x**t.
x**2*(x - 1)**2*(5*x + 2)/2
Suppose 5 = 6*u - 5*u. Suppose 15*p = u*p + 740. Factor -85 - p - 48*c**2 + 192*c - 8*c**3 - 97 + 12*c**3.
4*(c - 4)**3
Let d = -17298 - -17303. Let h(k) be the second derivative of -4*k + 0*k**4 + 0*k**3 + 1/10*k**d + 0 + 0*k**2. Factor h(j).
2*j**3
Let i(l) be the first derivative of -l**6/3 - 10*l**5 - 119*l**4/2 - 142*l**3/3 + 492*l**2 + 1368*l + 9152. Let i(r) = 0. What is r?
-19, -3, -2, 2
Let h(y) be the first derivative of y**7/210 + 11*y**6/120 + 3*y**5/10 + 52*y**2 + 2. Let p(k) be the second derivative of h(k). Factor p(s).
s**2*(s + 2)*(s + 9)
Let l(n) be the third derivative of n**7/70 + 29*n**6/120 - 2*n**5 - 113*n**4/6 - 40*n**3 - 480*n**2 + 2*n. Solve l(o) = 0 for o.
-12, -2, -2/3, 5
Factor 262/3*d**2 + 360 - 1072/3*d + 2/3*d**3.
2*(d - 2)**2*(d + 135)/3
Let f = 15405602 + -21875953763/1420. Let m = f + -3/355. Factor -21/4*i + 3/2 + 27/4*i**2 + m*i**4 - 15/4*i**3.
3*(i - 2)*(i - 1)**3/4
Let i(s) be the third derivative of s**6/300 - s**5/50 + 4*s**3/15 + 2*s**2 + 1068. Factor i(w).
2*(w - 2)**2*(w + 1)/5
Let i(j) = -4*j**3 - 38*j**2 - 66*j - 429. Let p be i(-9). Find n such that 0 - 24/5*n**p - 3*n**4 + 12/5*n**2 + 0*n = 0.
-2, 0, 2/5
Let c(g) be the second derivative of g**7/14 - 2*g**6/5 - 9*g**5/5 + 7202*g. Factor c(f).
3*f**3*(f - 6)*(f + 2)
Let b be (-2 - 0) + 1*(11 + -2). Suppose -4 + b = u. Suppose -1/3*y**u + 72 + 6*y**2 - 36*y = 0. Calculate y.
6
Let l be 106*1/4 + (-579)/386. Let f(q) be the second derivative of 2/15*q**3 + 0*q**2 + l*q + 0 + 0*q**4 - 1/100*q**5. Determine a, given that f(a) = 0.
-2, 0, 2
Let h(n) = -10 - 2 - 2*n - 7*n**2 - 6 + 19. Let p(f) = f**2 + f + 1. Let i(z) = 3*h(z) + 24*p(z). Let i(d) = 0. Calculate d.
-3
Let g(z) = 4*z**2 - 19*z + 31. Let t be g(17). Factor -64*s**4 - 45 + 386*s**3 - 279 + t*s - 2*s**3 - 864*s**2.
-4*(2*s - 3)**4
Let d(n) be the first derivative of -n**5/12 + 5*n**4/12 - 55*n**2/2 + 13. Let y(k) be the second derivative of d(k). Factor y(b).
-5*b*(b - 2)
Let o = 699456/11 - 2797813/44. What is n in 0*n + o*n**5 + 0 - 1/2*n**3 - 1/4*n**4 + 0*n**2 = 0?
-1, 0, 2
Let z(h) be the first derivative of -3/4*h**4 + 0*h**2 + 0*h - 92 + 22*h**3. Let z(f) = 0. Calculate f.
0, 22
Let b(f) be the third derivative of -1/896*f**8 + 0*f**4 + 0*f**3 - 18*f - 2*f**2 - 1/320*f**6 - 1/280*f**7 + 0*f**5 + 0. Find c, given that b(c) = 0.
-1, 0
Let w(v) be the second derivative of 5*v**4/12 + 25*v**3 - 2500*v**2 - 476*v + 3. Factor w(y).
5*(y - 20)*(y + 50)
Let u be 57/12*(42028/1444 + -29). Solve 1/2*y**2 + u + y**3 + 1/4*y**5 - y**4 - 5/4*y = 0.
-1, 1, 2
Let k be (4/36 - (-2904)/108) + -23. Solve 124/9*t - 2/9*t**4 + 40/3*t**2 + 14/3 + k*t**3 = 0.
-1, 21
Let v(s) be the third derivative of -s**5/90 - 107*s**4/3 - 45796*s**3 + 787*s**2. Factor v(y).
-2*(y + 642)**2/3
Factor 482*g**2 + 489*g**2 + 471*g**2 - 1446*g**2 - 320*g.
-4*g*(g + 80)
Solve 1387*y**2 + 0*y**5 - 1960 - 1128*y**3 - 13*y**5 + y**5 - 77*y**4 + 168*y + 283*y**4 + 547*y**2 = 0 for y.
-5/6, 2, 7
Let n = 1289 + -681. Let y be (-3)/(-19)*n/114. Determine g, given that -2/19*g**3 - 32/19*g + 0 + y*g**2 = 0.
0, 4
Let a(h) be the second derivative of -h**6/50 + 21*h**5/50 - 23*h**4/20 - 7*h**3/5 + 36*h**2/5 - 3792*h. Let a(u) = 0. What is u?
-1, 1, 2, 12
Let r = 39844 + -119531/3. Factor 1/9*l**3 - r*l**2 + 8/9 - 2/3*l.
(l - 4)*(l - 1)*(l + 2)/9
Let l be ((-86)/172)/(3/(-2) + 2). Let x be 27/6 + (-5 - l). Find f, given that -f**2 - x*f**3 - 2 + 7/2*f = 0.
-4, 1
Let l(i) be the second derivative of -i**5/12 + 35*i**4/24 - 37*i**2/2 + 106*i. Let v(r) be the first derivative of l(r). Factor v(m).
-5*m*(m - 7)
Let b(u) = -35*u**2 - 3*u. Let m(a) = 113*a**2 - 2*a + 5. Let w(t) = -2*t**2 + 2*t - 1. Let d(r) = -m(r) - 5*w(r). Let x(z) = -11*b(z) + 4*d(z). Solve x(o) = 0.
0, 1/27
Let v(w) be the second derivative of w**7/168 + 7*w**6/120 - w**5/10 - 41*w**4/12 - 52*w**3/3 - 40*w**2 - 2*w - 219. Determine q, given that v(q) = 0.
-4, -2, 5
Let y(n) be the first derivative of 1/18*n**4 + 6*n - 1/30*n**5 - 19 + 0*n**2 + 0*n**3. Let i(b) be the first derivative of y(b). Factor i(k).
-2*k**2*(k - 1)/3
Let u(a) be the second derivative of a**5/8 + 15*a**4/4 - 875*a**3/12 - 2188*a. Factor u(y).
5*y*(y - 7)*(y + 25)/2
Determine g so that 440/17*g**3 + 2/17*g**5 + 56/17*g**4 + 672/17*g**2 + 0*g + 0 = 0.
-14, -12, -2, 0
Let p(q) be the second derivative of -q**5/220 - 29*q**4/22 - 224*q**3/11 - 1328*q**2/11 - 53*q + 31. Factor p(a).
-(a + 4)**2*(a + 166)/11
Suppose -7*y = 117 - 341. Let t = y + -20. Factor -8 - 6*f**2 + t*f + 2*f**2 + 0*f.
-4*(f - 2)*(f - 1)
Let s(h) be the first derivative of -42 - 5*h**2 + 15*h - 5/3*h**3. Factor s(t).
-5*(t - 1)*(t + 3)
Let t be (((-2)/(-4))/(28/(-168)))/(1 - 16). Factor t*a**2 - 31/5*a - 32/5.
(a - 32)*(a + 1)/5
Let a(v) be the second derivative of v**5/40 + 7*v**4/6 - 31*v**3/12 - 29*v**2/2 + 26*v - 2. Let a(r) = 0. Calculate r.
-29, -1, 2
Let q(w) be the second derivative of -1/4*w**5 + 25/12*w**4 + 12*w + 20/3*w**3 - 120*w**2 + 4. Determine k, given that q(k) = 0.
-3, 4
Let x be (-688)/88 - (-4)/(-22). Let k be (x/12)/(3/(-9)). Solve 2/7*w**4 + 0 - 4/7*w + 4/7*w**3 - 2/7*w**k = 0 for w.
-2, -1, 0, 1
Let f(g) be the second derivative of 7/5*g**5 - 10/21*g**7 + 0*g**2 - 4/3*g**3 + g**4 + 4*g - 2/5*g**6 + 1. What is r in f(r) = 0?
-1, 0, 2/5, 1
Let n(r) be the third derivative of 0*r - 1/6*r**5 + 7/3*r**3 + 0 + 1/6*r**4 - 13*r**2. Factor n(d).
-2*(d + 1)*(5*d - 7)
Let y(z) = -z**2 + 7*z - 10. Let t be y(5). Suppose 0*o - 4*o + 8 = t. Factor 280*c**2 - 280*c**2 + o*c**3.
2*c**3
Let z(t) be the third derivative of t**8/756 + 2*t**7/315 - 49*t**6/270 + t**5/3 - 5353*t**2. Suppose z(m) = 0. What is m?
-9, 0, 1, 5
Let d(r) be the third derivative of 5/12*r**4 + 13*r**2 + 1/24*r**6 + 0*r**3 + 0 + 0*r - 1/4*r**5. Let d(y) = 0. Calculate y.
0, 1, 2
Let t(c) = -39*c**2 - 2880*c - 172791. Let y(w) = 9*w**2 + 720*w + 43198. Let z(o) = 2*t(o) + 9*y(o). What is k in z(k) = 0?
-120
Find o such that 212/9*o + 16 + 10/9*o**3 - 122/3*o**2 = 0.
-2/5, 1, 36
Factor 133/3*c + 1/9*c**3 - 13/3*c**2 - 361/9.
(c - 19)**2*(c - 1)/9
Let s(r) be the second derivative of -r**5/170 + 106*r**4/51 - 211*r**3/51 - 5284*r. Solve s(l) = 0 for l.
0, 1, 211
Suppose 13 = -9*b + 5*r, 3*r + 1315 = -3*b + 1348. Find n such that -15/2 + 3/2*n**4 - 3*n**b - 21*n - 18*n**2 = 0.
-1, 5
Suppose 9*n - 26 = -8. Find x, given that 1064 + 12*x**n + 3*x**3 + 12*x - 1064 = 0.
-2, 0
Let -3*u**2 + 1946*u + 42