first derivative of -11*j**3/6 + 181*j**2/3 + 22*j/3 + 2085. Factor n(u).
-(u - 22)*(33*u + 2)/6
Let v(c) = 2*c**2 - 5*c + 1. Let i be v(6). Let m = 59 - i. Solve -4*d + 250*d**4 + 4*d**5 - m*d**2 - 242*d**4 - 8*d**5 + 6 + 8*d**3 + 2 = 0.
-1, 1, 2
Factor -392/5 + 54/5*u**2 - 2/5*u**3 - 336/5*u.
-2*(u - 14)**2*(u + 1)/5
Let m(r) be the second derivative of r**6/1980 - 23*r**5/330 + 15*r**4/44 + r**3/2 + 20*r**2 + 42*r + 1. Let i(f) be the second derivative of m(f). Factor i(c).
2*(c - 45)*(c - 1)/11
Factor 17/10*f**2 + 0 + 1/10*f**3 - 11*f.
f*(f - 5)*(f + 22)/10
Factor 4*t - t**3 + 15*t - 14*t**2 - 9*t + 0*t**3 + 17*t**2.
-t*(t - 5)*(t + 2)
Let u be ((-85)/10 + 10)*(-7)/(-21)*1. Factor 0 + u*i**2 + 29/2*i.
i*(i + 29)/2
Let r(g) be the third derivative of -3/14*g**7 + 5*g - 10/3*g**3 - 13/12*g**5 + g**2 - 5/4*g**6 + 25/6*g**4 + 0. Find s such that r(s) = 0.
-2, 1/3
Suppose 5*u - 480 = -2*h, 3*u = -2*h + 30 + 258. Let c be 64/u - 4/6. Solve -2/5*f**3 - 6/5*f**2 + c*f + 8/5 = 0.
-2, 1
Let c(g) be the first derivative of 232428544*g**5/55 - 10597408*g**4 + 953552*g**3/11 - 2929*g**2/11 + 4*g/11 + 1820. Factor c(w).
2*(w - 2)*(488*w - 1)**3/11
Let s be 4/(-30) + 3122/1365. Let h = 430292/57083 - -2/4391. Factor -h - 2/13*f**2 - s*f.
-2*(f + 7)**2/13
Let z(c) be the third derivative of c**8/112 + c**7/70 - c**6/8 - c**5/20 + c**4 - 2*c**3 + 6*c**2 + 39*c. Factor z(f).
3*(f - 1)**3*(f + 2)**2
Let c = 477 - 473. Let p(h) be the second derivative of -1/90*h**6 + 0*h**2 + 0 + 1/60*h**5 + 1/36*h**c - 1/18*h**3 - 5*h. Factor p(w).
-w*(w - 1)**2*(w + 1)/3
Find a such that 69*a**4 + 67*a**4 + 68*a**4 + 67*a**4 - 204*a - 144 - 58*a**2 - 269*a**4 + 4*a**3 = 0.
-4, -3, -1, 6
Let o be (-44019)/(-24120) + 28/(-40). Let 15/8*p - 3/4*p**2 - 3/8*p**4 + 3/8*p**5 + o - 9/4*p**3 = 0. Calculate p.
-1, 1, 3
Suppose 80*q**2 - 43*q**3 - 16*q + 0*q - 50 + 21*q + 8*q**3 + 0*q = 0. Calculate q.
-5/7, 1, 2
Suppose -3*c**3 + 7*c + 58*c - 353*c + 1863 - 732*c - 249*c + 225*c**2 = 0. Calculate c.
3, 69
Let k = 1003/1890 - -11/270. Factor 0*v + 0*v**3 - k*v**2 + 2/7 + 2/7*v**4.
2*(v - 1)**2*(v + 1)**2/7
Let b(i) be the first derivative of -i**6/40 + 7*i**5/10 - 13*i**4/8 - 3*i**2/2 - 11*i + 23. Let p(t) be the second derivative of b(t). Factor p(d).
-3*d*(d - 13)*(d - 1)
Let t(z) be the third derivative of -z**7/105 - 5*z**6/6 + 64*z**5/5 - 141*z**4/2 + 171*z**3 + 1679*z**2. Factor t(u).
-2*(u - 3)**2*(u - 1)*(u + 57)
Let f be (1 - 3) + 15/7. Let w be (-3 - -2)*(-126)/882. Factor 0*o**3 - f*o**4 + 0 + 0*o + w*o**2.
-o**2*(o - 1)*(o + 1)/7
Factor 40612*k - 569/2*k**2 + 1/2*k**3 - 40328.
(k - 284)**2*(k - 1)/2
Let w = 59492/3 + -19830. Let p be (-6)/(-4)*(-44)/(-9). Factor p*n - 20/3 - w*n**2.
-2*(n - 10)*(n - 1)/3
Let k(m) be the second derivative of 1/54*m**4 + 2/9*m**2 - 41*m + 0 - 1/9*m**3. Determine b so that k(b) = 0.
1, 2
Factor 4*u**3 + 80 + 76*u - 47*u**2 + 44*u**2 - 124*u - 33*u**2.
4*(u - 10)*(u - 1)*(u + 2)
Let t(h) be the second derivative of h**5/20 + 197*h**4/4 - 99*h**3 - 592*h**2 + 10236*h. Determine p so that t(p) = 0.
-592, -1, 2
Let o be (-4)/(-14) - (-172)/(-602). Suppose o = -3*x - 4*m + 20, 2*x - 9*m = -7*m + 32. Let x + 1/3*g**2 + 4*g = 0. What is g?
-6
Suppose 1061*i + 0 = 4708*i - 0. Factor i + 1/2*h**2 - 3/8*h + 1/8*h**5 + 1/4*h**3 - 1/2*h**4.
h*(h - 3)*(h - 1)**2*(h + 1)/8
Let o(g) = -g**3 - 14*g**2 - 2*g - 25. Let i be o(-14). Suppose i = 3*q - d, 2*d - 5*d - 1 = -5*q. Factor 31*x**q + 63*x - 52*x**2 - 36*x**2 - 6.
-3*(x - 1)*(19*x - 2)
Let b be -1*3 - ((-1305)/(-85))/(-1). Let k = 664/51 - b. Find j such that -2/3*j - 2/9 - 4/9*j**2 + 4/9*j**3 + k*j**4 + 2/9*j**5 = 0.
-1, 1
Let h(p) be the first derivative of -238 - 845*p - 80/3*p**3 + 260*p**2. What is o in h(o) = 0?
13/4
Let g be 5/(45/27) + 5. Suppose 3*r - 31 = -4*s, -r - 17 = -4*s - 6. Factor 71 + g*a - 166 + s*a**2 + 83.
4*(a - 1)*(a + 3)
Solve 774 + 331 + 81*o + 445*o + 685 - 15*o**2 - 3201*o = 0 for o.
-179, 2/3
Let f(a) be the first derivative of -2*a**5/25 + 7*a**4/10 + 2*a**3/15 - 7*a**2/5 + 1065. Find w, given that f(w) = 0.
-1, 0, 1, 7
Let g = 558 - 563. Let x be ((-6)/(-2)*(-2)/2)/g. Find h, given that -9/5*h**4 + 0 + h**2 - x*h**3 - 1/5*h = 0.
-1, 0, 1/3
Suppose -10 = -t - 8. Let q = 1047 - 488. Factor -t*d**3 + q*d**2 + 7*d - 563*d**2 + d**4 + d.
d*(d - 2)**2*(d + 2)
Let q(j) be the first derivative of 0*j + 42 - 21*j**4 + 3/5*j**5 + 0*j**2 + 196*j**3. Solve q(k) = 0 for k.
0, 14
Let b(x) = -12*x**2 + 19155*x + 10169721. Let c(u) = -9*u**2 + 12771*u + 6779814. Let s(f) = 5*b(f) - 7*c(f). Determine y so that s(y) = 0.
-1063
Let d(p) be the first derivative of p**5 + 35*p**4/8 - 175*p**3/6 - 395*p**2/4 + 525*p/2 - 1512. Determine z, given that d(z) = 0.
-5, -3, 1, 7/2
Let a(w) = -65*w + 3514. Let q be a(54). Let i(n) be the second derivative of -21/4*n**4 + 6*n**2 + 7/10*n**6 + 0 + q*n**3 + 3/10*n**5 - 18*n. Factor i(k).
3*(k - 1)**2*(k + 2)*(7*k + 2)
Let q(p) = -5*p**3 + 79*p**2 + 362*p + 380. Let x(h) = 4*h**2 + 2*h. Let j(y) = q(y) - x(y). Factor j(r).
-5*(r - 19)*(r + 2)**2
Let 19*o**4 + 0 + 700*o**3 - 5488*o - 1/3*o**5 + 14308/3*o**2 = 0. What is o?
-14, 0, 1, 84
Suppose 0 = 1159*r - 14430 + 5158. Suppose 28/3 - 4/3*c**2 - r*c = 0. Calculate c.
-7, 1
Let b(m) be the first derivative of 34*m**3/15 - 97*m**2/5 - 12*m - 2720. Let b(z) = 0. What is z?
-5/17, 6
Let r = -694149/5 - -138833. Find d such that 18/5 + r*d - 16/5*d**3 - 4*d**2 + 2/5*d**4 = 0.
-1, 1, 9
Let x be (1140/30 + -36)/((-1)/(-2)). Determine r so that 16/3 + 10/3*r**4 - 4*r - 26/3*r**2 + x*r**3 = 0.
-2, -1, 4/5, 1
Factor 129/2*h**2 + 12*h**3 + 0 - 45*h.
3*h*(h + 6)*(8*h - 5)/2
Find t, given that -4/3*t**2 + 90 + 538/3*t = 0.
-1/2, 135
Let t = -30 - -42. Let y(n) = -7*n + 28. Let f be y(4). Determine s so that -t + f*s**2 - 3*s**2 + 14*s + s**2 = 0.
1, 6
Let l be 15360/88 - 42/77. Find b, given that 15*b**3 - 9*b**2 + 19*b**2 + l*b**5 - 179*b**5 = 0.
-1, 0, 2
Let g(a) = 3238*a + 32384. Let t be g(-10). What is b in 1/2*b + 5/2*b**2 + 4*b**3 + 2*b**t + 0 = 0?
-1, -1/2, 0
Let y(g) be the first derivative of -g**7/840 - g**6/30 + 9*g**5/40 - 7*g**4/12 + 116*g**3/3 - 117. Let k(b) be the third derivative of y(b). Factor k(j).
-(j - 1)**2*(j + 14)
Let h(b) = -2*b**3 - 5*b**2 - 3*b + 3. Let z be h(-3). Let y = z - 18. Factor 10 - 27*v**3 - 10*v**2 + 36*v**y - 25*v + 16*v**3.
5*(v - 1)*(v + 1)*(5*v - 2)
Factor 243/4*x - 237/2 - 3/4*x**2.
-3*(x - 79)*(x - 2)/4
Determine y, given that -129*y**2 + 318*y - 156 + 9/2*y**3 = 0.
2/3, 2, 26
Let k = 749/72720 - -2/909. Let s(i) be the second derivative of k*i**6 + 6*i + 3/160*i**5 - 3/32*i**4 - 5/16*i**3 - 3/8*i**2 + 0. Find n, given that s(n) = 0.
-1, 2
Let j(q) be the second derivative of -3/4*q**3 + 21/8*q**4 - 2*q - 4 - 3*q**5 - 16/45*q**6 + 0*q**2 + 128/63*q**7. Find z such that j(z) = 0.
-1, 0, 3/8
Let d(q) be the third derivative of 0 - 605/6*q**3 + 2*q**2 - 1/12*q**5 - 55/12*q**4 + 27*q. Solve d(t) = 0.
-11
Let f(b) be the third derivative of -31*b**5/15 + 277*b**4/6 + 12*b**3 - 11474*b**2. Factor f(l).
-4*(l - 9)*(31*l + 2)
Let j be 3/(27/2) - ((-635816)/(-1710))/(-89). Factor 6*y + 2/5*y**3 + 54/5 - j*y**2.
2*(y - 9)*(y - 3)*(y + 1)/5
Let t be 2/8*(-40)/(-25). Let g = 107 - 531/5. Factor t*y**2 + g*y + 0.
2*y*(y + 2)/5
Let r be (-8 + 7 - -7)/(6/4). Factor 48*a**3 + 386*a + a**4 - 155*a + 384*a**2 + 793*a + a**r.
2*a*(a + 8)**3
Factor -3*g + 90 + 2*g**3 + 44*g - 86*g + 94*g**2 + 227*g.
2*(g + 1)**2*(g + 45)
Let u(z) = z**3 + 26*z**2 - 2*z - 40. Let v be u(-26). Let n be (v - 5)*8/28. Factor 0*a + 1/4*a**n - 1/4.
(a - 1)*(a + 1)/4
Let r(m) be the third derivative of 47/60*m**5 + 11 - m**2 - 7/40*m**6 - 7/6*m**3 + 0*m - 5/8*m**4 - 2/105*m**7. Factor r(b).
-(b - 1)**2*(b + 7)*(4*b + 1)
Let t(h) be the second derivative of 14*h**6/165 - 151*h**5/110 - h**4/2 + 2456*h. Determine w so that t(w) = 0.
-3/14, 0, 11
Let g(m) be the first derivative of m**8/336 - m**7/84 - 5*m**6/72 + m**5/4 - 3*m**3 - 2*m - 76. Let t(i) be the third derivative of g(i). Factor t(b).
5*b*(b - 3)*(b - 1)*(b + 2)
Suppose -7*a = 20 + 1. Let z(y) = -9*y**2 + 3*y - 3. Let j(v) = -v**3 + 17*v**2 - 6*v + 5. Let n(u) = a*j(u) - 5*z(u). Determine r so that n(r) = 0.
0, 1
Let d(l) be the second derivative of l**7