. Solve y(t) = 0 for t.
-1531, -1, 1
Let t be ((-12)/(-14)*-2)/((2940/9800)/(1/(-10))). Factor 0*o + 2/7*o**5 - t*o**3 + 0 + 0*o**2 + 2/7*o**4.
2*o**3*(o - 1)*(o + 2)/7
Let h(c) be the first derivative of 512/13*c - 32/13*c**2 + 2/39*c**3 - 2. Determine j, given that h(j) = 0.
16
Let p = 108 - 78. Suppose 170*j + p = 176*j. Factor 2/5*g**3 - 1/5*g**j + 0*g**4 - 1/5*g + 0*g**2 + 0.
-g*(g - 1)**2*(g + 1)**2/5
Find q, given that -3116*q + 10128 + 2506*q - 4*q**2 - 4446*q = 0.
-1266, 2
Let p(q) be the first derivative of -118 - 2/27*q**3 + 0*q - 14/9*q**2. Solve p(i) = 0.
-14, 0
Factor 1/3*n**3 + 0 + 9*n**2 + 170/3*n.
n*(n + 10)*(n + 17)/3
Let u = 206 + -981. Let d = -775 - u. Factor -1/2*n**3 + d - 3/4*n**2 + 3/4*n**4 + 1/2*n.
n*(n - 1)*(n + 1)*(3*n - 2)/4
Let l(c) be the third derivative of c**5/15 + 35*c**4/6 - 148*c**3/3 + 211*c**2 + 1. Find o, given that l(o) = 0.
-37, 2
Let h(k) = -18*k**5 + 45*k**4 - 60*k**3 + 39*k**2. Let g(t) = 19*t**5 - 44*t**4 + 58*t**3 - 39*t**2 - t. Let i(w) = 6*g(w) + 7*h(w). Solve i(f) = 0 for f.
0, 1/4, 1, 2
Let v(g) = -3*g**2 - 41*g + 5. Let f(u) = 15*u**2 + 207*u - 24. Suppose -4*j + 4 = -4*c, 4*j - 5 + 6 = 3*c. Let n(h) = c*f(h) - 24*v(h). Factor n(k).
-3*k*(k + 17)
Factor 245/6 - 14/3*s - 1/6*s**2.
-(s - 7)*(s + 35)/6
Let v = 33736 - 33730. Let t(g) be the second derivative of 0 - 2/15*g**v + 19*g + 0*g**2 + g**4 + 0*g**5 - 4/3*g**3. Determine r, given that t(r) = 0.
-2, 0, 1
Let k(d) be the first derivative of -d**3/12 - 1026*d**2 - 4210704*d - 8794. What is p in k(p) = 0?
-4104
Let z = 836 + -829. Let d(w) = -35*w + 246. Let f be d(z). Suppose -f - 3/4*u**2 + 2*u - 1/2*u**3 + 1/4*u**4 = 0. What is u?
-2, 1, 2
Suppose m = -5*v + 27, 14 + 1 = 3*v. Determine a so that -4*a + 2 - a**2 - 14*a + 14*a + m + a**3 = 0.
-2, 1, 2
Factor -4/11*c**3 + 2/11*c**4 - 2/11*c**2 + 4/11*c + 0.
2*c*(c - 2)*(c - 1)*(c + 1)/11
Let k = 214 - 207. Solve 2*r**3 + 8*r**3 + k*r**4 + 13*r**4 + 261*r - 20*r**2 + 5*r**5 - 276*r = 0.
-3, -1, 0, 1
Let k(t) be the first derivative of 5/2*t**4 + 1/6*t**3 - t**2 + 27/20*t**5 - 35 + 22*t. Let v(w) be the first derivative of k(w). Factor v(q).
(q + 1)*(3*q + 1)*(9*q - 2)
Factor -1136 - 4/3*w**2 - 592/3*w.
-4*(w + 6)*(w + 142)/3
Let v be (-1340)/(-7) + (-4 - (-150)/42). Let h = -571/3 + v. Factor -4/9 + h*k - 2/9*k**2.
-2*(k - 2)*(k - 1)/9
Let o(j) be the second derivative of -1/20*j**6 - 1/24*j**4 + 3/40*j**5 + 1/84*j**7 + 12*j + 0*j**3 + 0*j**2 + 0. Factor o(v).
v**2*(v - 1)**3/2
Suppose -263 - 421 = -36*x. Suppose -595*l**3 + 597*l**3 - x*l + 24 + 3*l - 2*l**2 = 0. Calculate l.
-3, 2
Let u(x) be the third derivative of -x**6/30 - 56*x**5/15 - 18*x**4 - 1389*x**2. Factor u(y).
-4*y*(y + 2)*(y + 54)
Let r(i) be the third derivative of -1/20*i**5 + 0*i + 83*i**2 - 15/2*i**3 + 0 + i**4. Find f such that r(f) = 0.
3, 5
Let u be 8959/(-34) + 0 + -3. Let s = 267 + u. Solve 0*f - s*f**2 + 1/2*f**3 + 0 = 0.
0, 1
Let u(x) = -8*x**4 - 15*x**3 - 6*x**2 + 8*x. Let h(p) = p**4 + p**3 + 1. Suppose 41*n - 7*n = 1190. Let t(o) = n*h(o) + 5*u(o). Solve t(f) = 0 for f.
-7, -1, 1
Let r(o) be the third derivative of 0*o + 0 - 17*o**2 - 1/12*o**4 - 1/20*o**5 - 2/3*o**3 - 1/90*o**6. Let z(m) be the first derivative of r(m). Factor z(i).
-2*(i + 1)*(2*i + 1)
Factor -52/3*v**2 - 15376/5 + 9176/15*v + 2/15*v**3.
2*(v - 62)**2*(v - 6)/15
Let n(t) = 49*t - 486. Let h be n(9). Let s be 10*(-48)/h*(-3)/(-14). Let 40/7*v**3 + s*v**4 - 6*v + 20/7*v**2 + 2/7*v**5 - 36/7 = 0. Calculate v.
-3, -2, -1, 1
Let n(o) = 520*o + 1562. Let a be n(-3). Factor 44/15*w + 32/15 - 2/15*w**3 + 2/3*w**a.
-2*(w - 8)*(w + 1)*(w + 2)/15
Factor -368/3 - 1/3*b**4 - 16/3*b**3 + 51*b**2 - 200/3*b.
-(b - 4)**2*(b + 1)*(b + 23)/3
Let u(o) be the second derivative of 11*o**4/2 - 333*o**3/2 + 135*o**2/2 + 677*o. Factor u(y).
3*(y - 15)*(22*y - 3)
Suppose 31 = -3*k - p, 6*p - 10*p = -2*k - 2. Let g(y) = -y**3 - 9*y**2 - 6*y - 54. Let f be g(k). Factor 0 + 0*j**2 + f*j**3 + 1/11*j**5 + 0*j + 0*j**4.
j**5/11
Determine k so that -k**5 - 6640*k**4 - 8*k**3 + 3616*k - 17*k**3 + 694*k**2 + 6624*k**4 + 4480 = 0.
-8, -5, -2, 7
Let u = 255 - 253. Find g such that g**3 - 4*g**3 + 27*g + 7*g**3 + 21*g + 22*g**2 - u*g**3 = 0.
-8, -3, 0
Let p(h) be the third derivative of -h**8/84 + 4*h**7/105 + 2*h**6/5 - 8*h**5/15 - 16*h**4/3 - 7*h**2 - 25. Let p(m) = 0. What is m?
-2, 0, 2, 4
Let u(m) be the first derivative of 2*m**3/3 + 67*m**2 - 876*m - 1224. Let u(t) = 0. Calculate t.
-73, 6
Let s = 54 - 39. Suppose 5*k - 60 + s = 0. Factor 38*r**3 + 7 + 6 - k*r**2 - 41*r**3 - 1.
-3*(r - 1)*(r + 2)**2
Let a be (-23)/(-30) + (-1)/10. Let x be (10/(-180))/(55/30 - 2). Let -x*m**2 - a - m = 0. What is m?
-2, -1
Let w(r) be the first derivative of -3*r**5/5 - 5379*r**4 - 19289094*r**3 - 34585345542*r**2 - 31005762278403*r + 3093. Find z such that w(z) = 0.
-1793
Let j(m) be the first derivative of -5*m**3/6 + 1665*m**2/4 - 830*m - 1176. Solve j(r) = 0.
1, 332
Factor -253*c**2 + 0*c**3 - 1392*c**2 + 65*c**2 + 119*c**2 - 3*c**3 - 1458*c.
-3*c*(c + 1)*(c + 486)
Let z(s) = -26*s + 108. Suppose -3*h - 5*n = -32, 3*n - 18 = -3*h + 6. Let r be z(h). Find m such that 2/7*m + 6/7*m**2 + 6/7*m**3 + 0 + 2/7*m**r = 0.
-1, 0
Let h(d) be the third derivative of 0*d + 2 - 7/102*d**4 - 1/510*d**5 + 29*d**2 + 5/17*d**3. Factor h(o).
-2*(o - 1)*(o + 15)/17
Let -1184/5 - 2/5*u**3 - 598/5*u**2 - 356*u = 0. Calculate u.
-296, -2, -1
Let l(r) be the third derivative of -r**11/332640 + r**10/25200 - r**9/12096 + 4*r**5/3 - 3*r**2 - 12. Let v(s) be the third derivative of l(s). Factor v(q).
-q**3*(q - 5)*(q - 1)
Suppose 0 = -3*i + 4*d + 24, 50*d = 49*d - 3. Let 0*z**3 + 0*z**2 + 1/3*z**5 - 1/3*z**i + 0 + 0*z = 0. Calculate z.
0, 1
Let g(u) = 2*u**4 + 108*u**3 + 357*u**2 + 337*u + 3. Let h(k) = -5*k**4 - 215*k**3 - 715*k**2 - 675*k - 5. Let l(b) = -5*g(b) - 3*h(b). Solve l(f) = 0.
-17, -2, 0
Let w(l) be the first derivative of -l**6/3 + 4*l**5 - 27*l**4/2 + 12*l**3 - 1293. Let w(v) = 0. Calculate v.
0, 1, 3, 6
Let u(q) = q**2 - 12*q + 18. Let j be u(10). Let o be ((-18)/15)/((-1)/((-5)/j)). Factor 7*r**2 + 4*r**2 + 14*r**4 + 10*r**3 - 7*r**2 + 8*r**o.
2*r**2*(r + 1)*(7*r + 2)
Let p be (-3)/((-9)/5) - (-13603)/(-8235). Let q(j) be the second derivative of -p*j**6 + 0*j**3 + 0*j**4 - 9*j + 0 - 1/189*j**7 + 0*j**5 + 0*j**2. Factor q(b).
-2*b**4*(b + 2)/9
Let c(m) = 6*m**2 - 52*m + 338. Let r(d) = -5*d**2 + 52*d - 338. Suppose 8*v = 7*v - b + 3, -5*v = b - 19. Let y(a) = v*r(a) + 3*c(a). Solve y(n) = 0.
13
Suppose -14*n + 18 = -5*n. Factor -h**4 - 80*h + 925*h**3 - 922*h**3 - 24*h**n + 2*h**4.
h*(h - 5)*(h + 4)**2
Factor 11/4*z**3 + 7*z**2 + 0*z + 0 + 1/4*z**4.
z**2*(z + 4)*(z + 7)/4
Suppose 15 = -6*m - 15. Let p be 5 + m/10*-10. Determine a, given that -16290*a**2 + 16290*a**2 + p*a**4 - 55*a**5 = 0.
0, 2/11
Let m be (-10)/(-22)*(825/(-30))/((-120)/96). Find s, given that -65/2*s**2 - 20*s**3 - m*s + 6 - 7/2*s**4 = 0.
-3, -2, -1, 2/7
Let 6/11*w**4 + 1366/11*w**3 - 3216/11*w**2 + 0 + 920/11*w = 0. Calculate w.
-230, 0, 1/3, 2
Let g be 1/((-128)/832 - 5/52) + 6. Factor 24/11 - 2/11*r**g - 2/11*r.
-2*(r - 3)*(r + 4)/11
Let u(l) be the first derivative of -38/5*l + 2/15*l**3 + 50 + 18/5*l**2. Factor u(b).
2*(b - 1)*(b + 19)/5
Let j(c) = 3*c + 87. Let u be j(-26). Factor -4*f + u*f**2 + 1862 - 26*f - 1886.
3*(f - 4)*(3*f + 2)
Suppose 10*a + 8*a + 3*a = 20*a. Let b(l) be the first derivative of -2*l**3 + 1/2*l**4 + 2*l**2 - 7 + a*l. Solve b(p) = 0 for p.
0, 1, 2
Let g(c) be the first derivative of 196*c - 3/2*c**4 - 119*c**2 + 65 - 80/3*c**3. Solve g(s) = 0 for s.
-7, 2/3
Let j = 20959/66 + -635/2. Let m(f) be the second derivative of -15*f + 0*f**2 + 1/231*f**7 - j*f**3 - 3/110*f**5 + 0 + 1/165*f**6 - 5/66*f**4. Factor m(d).
2*d*(d - 2)*(d + 1)**3/11
Let k(s) be the third derivative of 1/12*s**5 - 7/72*s**6 + 0*s + 0 - 4/3*s**3 + 0*s**4 - 13*s**2. Let m(c) be the first derivative of k(c). Factor m(g).
-5*g*(7*g - 2)
Suppose 2*t = 2*z, 0 = 5*z + 3*t - t - 14. Let v be ((-140)/(-12) - 4)*3. Factor 72 + 7*d**3 - 72 + 6*d - v*d**z.
d*(d - 3)*(7*d - 2)
Let c(r) be the third derivative of r**7/1680 + r**6/144 - r**5/120 - r**4/2 - 155*r**3/6 - 5*r**2. Let o(q) be the first derivative of c(q). Factor o(k).
(k - 2)*(