t h(i) be the third derivative of 0 - 2/15*i**3 + 0*i - 8*i**v + 1/150*i**5 - 1/20*i**4 + 1/525*i**7 + 1/100*i**6. Factor h(a).
2*(a - 1)*(a + 1)**2*(a + 2)/5
Let q(p) = -p + 9. Let n(i) = -4*i**2 - 14308*i - 12816508. Let f(l) = -n(l) - 12*q(l). Factor f(w).
4*(w + 1790)**2
Let x(t) = -t**5 + t**3 + 2*t**2 + t - 2. Let n(o) = 5*o**5 - 53*o**4 - 169*o**3 - 175*o**2 - 60*o + 8. Let h(s) = -5*n(s) - 20*x(s). What is i in h(i) = 0?
-1, 0, 56
Suppose -4*r = -5*h - 55, 4*r - 23 - 2 = -5*h. Let n be (-4 + 130/25)*r/18. Determine x, given that n*x**2 - 5/6*x + 1/3 - 1/6*x**3 = 0.
1, 2
Suppose 4*c - 3*m = 24, 0 = -0*c + 4*c + 2*m - 4. Determine z so that -21*z**2 + z - 15*z**4 + 27*z**c + 7*z - 2*z + 3*z**5 = 0.
0, 1, 2
Let l(b) be the first derivative of 40 - 17/8*b**4 - 7/48*b**6 - 13/12*b**3 + 75/16*b**2 + 11/10*b**5 - 9/4*b. Solve l(w) = 0 for w.
-1, 2/7, 1, 3
Let k = 164572 + -164570. Solve 34/3*o - 289/3 - 1/3*o**k = 0 for o.
17
Let t(u) be the third derivative of u**5/30 - 233*u**4/12 - 78*u**3 + 421*u**2 + 1. Determine s so that t(s) = 0.
-1, 234
Let v(y) be the third derivative of y**5/12 - 1255*y**4/12 + 315005*y**3/6 + y**2 - 162. Find t, given that v(t) = 0.
251
Let m = -463 - -470. Suppose -2*j**5 + 128*j**2 - 48*j + 27*j**5 - 18*j**5 - m*j**5 - 12*j**5 + 132*j**3 - 64 + 8*j**4 = 0. Calculate j.
-2, -1, 2/3, 4
Let -2143*c**4 + 8*c**5 + 1058*c**4 - 148*c + 1047*c**4 + 130*c**2 + 48 = 0. Calculate c.
-2, 3/4, 1, 4
Let l(a) be the first derivative of -3*a**5/80 - a**4/4 + a**3/8 + 3*a**2/2 - 89*a + 22. Let u(k) be the first derivative of l(k). Factor u(f).
-3*(f - 1)*(f + 1)*(f + 4)/4
Let t(i) be the third derivative of -1/15*i**5 + 0*i**3 + 0*i + 1/6*i**4 - 10*i**2 + 1. Factor t(f).
-4*f*(f - 1)
Let a be 1 + -4 + (-18)/(-2). Suppose 9*x - 30 = -a*x. Factor 0*v - 1/2*v**x + 2.
-(v - 2)*(v + 2)/2
Let u(o) be the first derivative of -o**4/16 + 7*o**3/4 - 39*o**2/8 + 19*o/4 - 7637. Factor u(d).
-(d - 19)*(d - 1)**2/4
Let j(x) be the first derivative of 5*x**3/3 - 2735*x**2 + 4187. Let j(t) = 0. Calculate t.
0, 1094
Let p(g) be the first derivative of g**6/11 - 20*g**5/11 + 25*g**4/22 + 20*g**3/3 + 32*g**2/11 - 506. Solve p(v) = 0 for v.
-1, -1/3, 0, 2, 16
Let t(r) be the first derivative of 1/6*r**3 - 52 + 2*r - r**2. Factor t(n).
(n - 2)**2/2
Let n(w) = 2*w**3 - 68*w**2 - 287*w - 310. Let x(b) = 3*b - 2. Let y be (-9 - -17)*1 + -10. Let j(l) = y*n(l) + 6*x(l). Factor j(r).
-4*(r - 38)*(r + 2)**2
Let n = -171408/11 + 15584. Let v be (4/10)/((-33)/(-75)). Factor n*x**2 + v*x**3 - 4/11 + 2/11*x.
2*(x + 1)**2*(5*x - 2)/11
Let s be 94/(-6) - -2*(-2)/(-6). Let z be (4/(-9))/(20/s). Factor 0 - 1/3*q + z*q**2.
q*(q - 1)/3
Let k(b) be the first derivative of -5/4*b**4 - 40/3*b**3 - 50*b**2 - 71 - 80*b. Factor k(z).
-5*(z + 2)**2*(z + 4)
Let t(l) = 3*l**2 + 1422*l + 4071. Let h(x) = -x**2 - 569*x - 1628. Let c(a) = -12*h(a) - 5*t(a). Determine g so that c(g) = 0.
-91, -3
Let v(g) = -10*g**3 + 5*g**2 - 3*g - 2. Let b be v(1). Let i(t) = -2*t**3 - 12*t**2 + 81*t + 10. Let f be i(b). Factor 2/9*s**3 + 2/9*s + 4/9*s**2 + f.
2*s*(s + 1)**2/9
Let q(i) be the third derivative of -i + 0*i**4 + 41*i**2 + 0*i**3 + 2/3*i**6 - 2/105*i**7 - 1/28*i**8 - 4/5*i**5 + 0. Let q(c) = 0. Calculate c.
-3, 0, 2/3, 2
Let k(o) be the third derivative of 0 + 0*o**3 - 1/390*o**5 + 0*o - 1/78*o**4 + 52*o**2. Factor k(c).
-2*c*(c + 2)/13
Suppose -9/2*z - 1 + 9/2*z**3 + z**2 = 0. What is z?
-1, -2/9, 1
Let b(n) be the second derivative of -n + 2/55*n**6 + 2*n**2 + 23/55*n**5 + 46/33*n**4 - 1/231*n**7 + 25/11*n**3 + 147. Solve b(x) = 0 for x.
-2, -1, 11
Let p = -907 - -911. Suppose 0 = g - 3*m + 3 + 9, -g - m + p = 0. Suppose 8/7*a + g + 2/7*a**4 + 4/7*a**3 - 2*a**2 = 0. Calculate a.
-4, 0, 1
Let i(h) = 2 + 58*h**3 + 16*h - 27*h**2 + 14*h - 55*h**3 + 1. Let z(m) = 6*m**3 - 54*m**2 + 62*m + 7. Let v(y) = 7*i(y) - 3*z(y). Factor v(o).
3*o*(o - 8)*(o - 1)
Factor 2/9*j**3 + 2632/9 + 880/3*j + 74*j**2.
2*(j + 2)**2*(j + 329)/9
Let u(v) be the third derivative of -v**9/272160 - v**8/18144 + v**7/3780 + v**5 - v**2 + 17*v. Let q(r) be the third derivative of u(r). Solve q(d) = 0 for d.
-6, 0, 1
Let t(g) be the first derivative of -16*g**2 - 20*g**3 + 4/5*g**5 + 0*g + 75 - 6*g**4. Find k, given that t(k) = 0.
-1, 0, 8
Let w(p) = 13*p**2 - 2*p. Let b = -30 + 31. Let z be w(b). Factor -z + 24 - 10 - 3*a**2.
-3*(a - 1)*(a + 1)
Let s(c) be the third derivative of -c**6/40 - 3*c**5/5 - 5*c**4/2 - 437*c**2. Factor s(m).
-3*m*(m + 2)*(m + 10)
Let t be 1690/(-819) + (-1104)/(-483). Let -26/3*r - 22/9*r**2 - t*r**3 - 10 = 0. Calculate r.
-5, -3
Suppose 52*p = 8*p + 1584. Suppose p*q - 41*q = -10. Solve 0 + 8/3*a + 4/3*a**4 - 8/3*a**3 - 4/3*a**q = 0.
-1, 0, 1, 2
Let l(j) be the second derivative of -13/72*j**4 + 63*j + 0 + 55/36*j**3 - 25/4*j**2 + 1/120*j**5. Solve l(v) = 0.
3, 5
Factor 3*s**3 - 4*s**3 + 52726*s**2 - 52820*s**2 - 2100 - 865*s.
-(s + 5)**2*(s + 84)
Let n(s) = s**2 - 29*s + 6. Let u(h) = -h**2 - h - 1. Let d(i) = i**2 + 27*i + 37. Let b be d(-26). Let o = b - 5. Let l(v) = o*u(v) + n(v). Factor l(r).
-5*r*(r + 7)
Let i = -334178 - -334182. Determine b, given that 1/12*b - 1/12*b**3 - i*b**2 + 4 = 0.
-48, -1, 1
Suppose -t - 72 = t - 2*q, -5*q + 100 = -3*t. Let r = 43 + t. Factor 6*c**3 + 0*c**3 - 2*c**r - 4*c.
4*c*(c - 1)*(c + 1)
Let x = -298798 - -298803. What is b in 104/3*b**2 - 12*b + 4/3*b**x - 32*b**3 + 0 + 8*b**4 = 0?
-9, 0, 1
Let k be (249/(-1245))/((-1)/6). Let p(c) be the first derivative of -4/5*c - 1 - k*c**3 - 1/2*c**4 - 7/5*c**2 - 2/25*c**5. Factor p(n).
-2*(n + 1)**3*(n + 2)/5
Let r = 59 + -42. Suppose -5*t = 2 - r. Factor 3 - 170*u**2 + 15*u**4 - t*u - 30*u**3 + 200*u**2 + 2*u - 3*u**5 - 14*u.
-3*(u - 1)**5
Let k(g) = g**2 + 17*g - 199. Let l be k(9). Let c be 5 - 46/10 - l/(-100). Determine r, given that -3*r**2 - c*r**3 - 15/4*r - 3/2 = 0.
-2, -1
Let z(m) be the second derivative of -m**6/780 - 3*m**5/130 + 5*m**4/78 - 35*m**2/2 - 64*m + 2. Let y(c) be the first derivative of z(c). Factor y(a).
-2*a*(a - 1)*(a + 10)/13
Let f(t) be the third derivative of -t**5/180 + 2*t**4/3 + 104*t**3/9 + 2*t**2 + 718*t. Factor f(z).
-(z - 52)*(z + 4)/3
Let q(y) be the second derivative of -y**4/6 + 26*y**3 + 243*y**2 + 2*y - 1046. Let q(d) = 0. What is d?
-3, 81
Let r = 3033060/7 + -433292. Factor r*g**3 - 88/7*g**2 + 76/7*g - 18/7.
2*(2*g - 9)*(2*g - 1)**2/7
Factor 694/13 - 6/13*o**2 - 160*o.
-2*(o + 347)*(3*o - 1)/13
Suppose 10 - 98 = -4*r - 5*x, 0 = 4*r - x - 88. Let 18*j + 3*j**2 + 7*j**2 - 7*j**2 + r + 5 = 0. Calculate j.
-3
Suppose 0 = 41*i - 43*i + 3*u + 651, 0 = 2*i - 2*u - 654. Let g be (i/21)/5 - (3 + -2). Find p, given that g*p**2 + 39/7*p - 18/7 = 0.
-3, 2/5
Let j be (-6267)/(-7420) + -3*45/108. Let f = -2/371 - j. Determine y so that 2/5*y**4 - f*y**2 + 0 + 6/5*y**3 - 6/5*y = 0.
-3, -1, 0, 1
Let y(l) be the first derivative of 0*l - 2 + 1/180*l**5 + 0*l**4 + 0*l**3 + 9/2*l**2 - 1/360*l**6. Let d(s) be the second derivative of y(s). Factor d(z).
-z**2*(z - 1)/3
Let l(z) = -9*z**2 + 225*z + 2. Let m be l(0). Factor 2/3*g**4 - 8/3*g**m - 4/3*g**3 + 4/3*g + 2.
2*(g - 3)*(g - 1)*(g + 1)**2/3
Let v be (-1)/(3/(-33)*(-20 + 19)). Let m(r) = r**3 + 9*r**2 - 18*r + 48. Let b be m(v). Factor 0*i - 2/9*i**b + 2/3*i**3 + 0 + 0*i**2.
-2*i**3*(i - 3)/9
Let k(r) be the third derivative of r**7/70 + r**6/8 + r**5/10 - r**4 - 2324*r**2 - 2*r. Let k(l) = 0. What is l?
-4, -2, 0, 1
Factor -140*w**2 - 16548*w**3 + 755 + 16592*w**3 + 347*w - 2306*w - 1097*w - 195.
4*(w - 10)*(w + 7)*(11*w - 2)
Let i(f) be the first derivative of f**6/54 + 5*f**5/9 + 2*f**4/3 + 528. Let i(h) = 0. What is h?
-24, -1, 0
Let v = 10783 - 21563/2. Solve -1/4*a**5 - 2*a**3 + 1/2*a**2 + 9/4*a + 1 - v*a**4 = 0 for a.
-4, -1, 1
Let r(w) = -7*w**2 - 2*w + 154. Let v be r(0). Let i = v - 152. Factor 1/3*s**i - 1 - 2/3*s.
(s - 3)*(s + 1)/3
Let i = -137 + 140. Let f(c) = -c**3 - c**2 + 2. Let x(n) = -n**3 - 2*n**2 + 1. Let m(o) = i*f(o) - 6*x(o). Solve m(k) = 0.
-3, 0
Suppose 2*q + 3*j = 704, -8*q = -7*q + 4*j - 352. Factor q*d**2 + d + 352*d**2 - 705*d**2.
-d*(d - 1)
Suppose -18398 = -22*f + 47030. Solve 408*i + f*i**4 + 144 - 118*i**3 - 2990*i**4 + 76*i**2 + 7*i**5 + 3*i**5 = 0.
-2, -2/5, 3
Let v(j) be the second der