 - 4419*h**2 + 13018374*h + 8234. Factor u(j).
3*(j - 2946)**2/2
Let l(m) be the third derivative of m**10/75600 - m**8/5600 + m**7/3150 + 15*m**4/8 - 71*m**2. Let g(v) be the second derivative of l(v). Factor g(z).
2*z**2*(z - 1)**2*(z + 2)/5
Let u(y) = 51*y**2 - 7942*y - 3160109. Let f(s) = -44*s**2 + 7943*s + 3160111. Let j(a) = -8*f(a) - 7*u(a). Suppose j(g) = 0. Calculate g.
-795
Let s(k) be the first derivative of -k**3/2 + 825*k**2/2 + 1403. Factor s(o).
-3*o*(o - 550)/2
Let f be (-23424)/27 + (-34)/17. Let v = f + 870. Factor -2/9*w**2 - v*w + 2/3.
-2*(w - 1)*(w + 3)/9
Let g(o) be the third derivative of -o**7/4200 + o**6/1200 + o**5/100 + 3*o**4/4 + 70*o**2. Let a(j) be the second derivative of g(j). Factor a(n).
-3*(n - 2)*(n + 1)/5
Let y(t) = -3*t**3 + 45*t**2 + 156*t - 4. Let z(c) = -2*c**3 + 43*c**2 + 150*c - 3. Let r(s) = 3*y(s) - 4*z(s). Solve r(w) = 0.
-33, -4, 0
Let u(z) be the third derivative of 1/12*z**4 - 55*z**2 + 0 + 0*z - 1/120*z**5 + 1/3*z**3 - 1/240*z**6. Let u(y) = 0. What is y?
-2, -1, 2
Suppose -6*o = -5*o - 4. Suppose 0 = o*v + 36 - 48. Find h, given that -v*h**2 - 141 + 3*h + 141 - 3*h**3 + 3*h**4 = 0.
-1, 0, 1
Let f(k) be the second derivative of -k**5/4 + 475*k**4/12 + 5*k**3/6 - 475*k**2/2 - k + 427. Factor f(g).
-5*(g - 95)*(g - 1)*(g + 1)
Solve -20220*t - 567845*t**2 - 165014 + 82319 + 82515 = 0 for t.
-6/337
Let v(n) be the third derivative of n**5/20 + 27*n**4/8 + 85*n**3 + 23*n**2 + n - 5. Factor v(i).
3*(i + 10)*(i + 17)
Let l(t) be the third derivative of 0 - 7/48*t**6 - 23/420*t**7 + 3*t + 1/3*t**3 + 1/12*t**4 + 7*t**2 - 17/120*t**5 - 5/672*t**8. Suppose l(p) = 0. What is p?
-2, -1, 2/5
Let p(h) be the third derivative of h**11/83160 + h**10/37800 + 13*h**5/12 + 127*h**2. Let m(g) be the third derivative of p(g). Factor m(t).
4*t**4*(t + 1)
Let n(l) = 3*l**2 - 5*l. Let o be n(2). Suppose 2 = p - 2*p, 4*k - 3*p - 42 = 0. Find a, given that 20*a - a**2 + 2*a**2 + 4*a**o + k + 11 = 0.
-2
Suppose 7*k + 747 = 726. Let t be (-2)/k*(-14 + 16). Solve 4*j + 1/3*j**4 + 3 - t*j**3 - 2/3*j**2 = 0 for j.
-1, 3
Let b be (-68)/(-20) + (-16 - 3666/(-235)). Let -10/3*p**4 + 5*p**b + 0*p + 0*p**2 - 5/3*p**5 + 0 = 0. Calculate p.
-3, 0, 1
Let n(t) be the second derivative of -t**4/3 + 212*t**3 + 75*t - 13. Factor n(z).
-4*z*(z - 318)
Suppose -3*s + 4*f + 8 = -2*s, -2*f + 68 = 4*s. Suppose r - 9*r = -s. Factor -4/3*v**r + 0 + 0*v**4 - 2/3*v**5 + 0*v + 2*v**3.
-2*v**2*(v - 1)**2*(v + 2)/3
Suppose -2*c - 61 + 82 = 5*j, -5*j + 4*c + 33 = 0. Let h(v) be the third derivative of 0 + 0*v + 15*v**2 - 1/42*v**4 + 1/210*v**j + 1/21*v**3. Factor h(m).
2*(m - 1)**2/7
Let u(h) be the first derivative of 3*h**4/4 - 24*h**3 - 513*h**2/2 - 810*h + 3615. Factor u(r).
3*(r - 30)*(r + 3)**2
Let y(k) be the first derivative of -51/28*k**4 + 0*k**2 + 5/14*k**6 - 12/7*k - 9/35*k**5 - 35 + 19/7*k**3. Find m, given that y(m) = 0.
-2, -2/5, 1
Find q, given that -1056*q**3 + 2116*q**2 - 3176/3*q + 0 - 4/3*q**4 = 0.
-794, 0, 1
Let p(m) be the first derivative of m**3/3 - 723*m**2 + 522729*m - 36. Factor p(l).
(l - 723)**2
Find q, given that -2/3*q**2 - 625/6 - 50/3*q = 0.
-25/2
Let n(z) be the third derivative of 0*z + 73/15*z**5 + 20*z**2 - 16*z**4 + 1 - 1/10*z**6 + 24*z**3 - 6/35*z**7 - 1/84*z**8. What is f in n(f) = 0?
-6, 1
Let r(a) be the second derivative of a**5/5 + 2270*a**4/3 + 2576450*a**3/3 - 7*a - 759. Let r(t) = 0. What is t?
-1135, 0
Let t(k) be the second derivative of 2*k**6/15 + 96*k**5/5 - 97*k**4/3 - 31*k + 6. Factor t(m).
4*m**2*(m - 1)*(m + 97)
Let i(q) be the first derivative of -q**5 + 735*q**4/2 - 975*q**3 + 730*q**2 - 11546. Solve i(z) = 0 for z.
0, 1, 292
Solve 3/2*h**4 - 147 - 45/2*h**3 + 183/2*h**2 - 63/2*h = 0 for h.
-1, 2, 7
Suppose -161*k + 167*k + 4 = 2*o, k + 52 = 5*o. Factor -4/15*s**2 + 0 + 2/15*s + 2/15*s**k.
2*s*(s - 1)**2/15
Factor -1/4*b**5 + 3 + 47/4*b**2 + 10*b + 21/4*b**3 + 1/4*b**4.
-(b - 6)*(b + 1)**3*(b + 2)/4
Let d(q) = q**3 + 5*q**2 + 4*q - 2. Let h be d(-2). Factor -36*t - 20*t - t**h + 26*t.
-t*(t + 30)
Let c(x) be the second derivative of 1/399*x**7 - 134*x - 18/95*x**5 - 77/57*x**3 + 0 + 2/285*x**6 + 24/19*x**2 + 43/57*x**4. Solve c(n) = 0 for n.
-8, 1, 3
Let z(f) be the second derivative of -f**5/35 + 46*f**4/21 - 104*f**3/3 - 8112*f**2/7 + 1890*f. Factor z(x).
-4*(x - 26)**2*(x + 6)/7
Let w(h) = -h**2 + 10*h + 88. Let a be w(-6). Let c be 36/81 + a/36. Factor c + 0*j - 2/9*j**2.
-2*(j - 1)*(j + 1)/9
Let h be 0 - 3 - (-11 + 7) - -13. Suppose 0 = -2*m - 2*x + 22, 5*m - 3*m + 4*x = h. Let 59*d - m*d - 5*d**2 + 6 + 9*d**2 + 34 = 0. Calculate d.
-10, -1
Suppose -3024 + 3024 = 26*a. Let n(b) be the second derivative of a*b**3 + 0 + 0*b**2 + 0*b**4 + 1/60*b**6 - 1/40*b**5 - 18*b. What is v in n(v) = 0?
0, 1
What is w in -15846*w - 121/2*w**4 - 173053/2*w**2 + 4587*w**3 - 722 = 0?
-1/11, 38
Suppose 98 = 10*c + 28. Let t be c/(-21) + ((-1762)/(-12) - 1). Factor 285/2*l**4 + 6 + 75/2*l**5 + 417/2*l**3 + 48*l + t*l**2.
3*(l + 1)**3*(5*l + 2)**2/2
Let z(u) be the first derivative of 2*u**3/3 + 26*u**2 + 50*u + 178. Factor z(q).
2*(q + 1)*(q + 25)
Let b(p) be the second derivative of -p**5/180 + p**4/36 + p**3/6 - 3*p**2/2 + 4555*p. Factor b(d).
-(d - 3)**2*(d + 3)/9
Let u(h) be the third derivative of -h**8/16800 - h**7/1260 - h**4/12 + 19*h**3/2 - 31*h**2 - 1. Let f(z) be the second derivative of u(z). Factor f(p).
-2*p**2*(p + 5)/5
Let v = 66883/8915 - 41/17830. Suppose -v*p - 225/4 - 1/4*p**2 = 0. Calculate p.
-15
Let h(y) be the first derivative of 2 - 6*y + 0*y**2 - 1/20*y**4 - 1/10*y**3. Let k(w) be the first derivative of h(w). Factor k(j).
-3*j*(j + 1)/5
Suppose 4*f - 8 = 5*o, f = -f - 3*o + 4. Suppose 0 = -f*g + 2*r + 16, -g + 2 = r - 4. Factor -g*s + 3*s**2 + s + 18 - 15*s.
3*(s - 6)*(s - 1)
Let n(x) be the first derivative of -39/2*x**2 + 1/75*x**5 - 1/30*x**4 + 0*x**3 - 27 + 0*x. Let u(f) be the second derivative of n(f). Factor u(r).
4*r*(r - 1)/5
Let i be (-18)/153 - (4 - 552/68). Suppose -i*q - 16 = 4, -4*q - 28 = -4*w. Let 0*l + 0 + 12/7*l**4 + 20/7*l**3 + 8/7*l**w = 0. Calculate l.
-1, -2/3, 0
Let f be ((-4)/6)/(1/(-3)). Suppose 2*o = 6, 2*g - 2*o = -2*g + f. Factor 4*i**2 - 4*i**2 + g*i**2 + 2*i**2 + 4*i**3.
4*i**2*(i + 1)
Factor -85 + 169/2*o + 1/2*o**2.
(o - 1)*(o + 170)/2
Let h(i) = -2*i**3 + 54*i**2 - 615*i + 12877. Let z be h(25). Suppose 0 = -2*v - v + 9. Factor 13/4*r + 1/4*r**4 + 15/4*r**z + 1 + 7/4*r**v.
(r + 1)**3*(r + 4)/4
Let n(y) be the first derivative of y**4/7 - 1640*y**3/21 - 472*y**2 - 6624*y/7 + 1380. Find s, given that n(s) = 0.
-2, 414
Factor 2248*o + 1132*o**2 - 4875 + 2416 + 2459 + 4*o**3.
4*o*(o + 2)*(o + 281)
Let n = 278595 + -3059791/11. Let h = n - 432. Let h*w**2 - 2/11 + 2/11*w**3 - 2/11*w = 0. Calculate w.
-1, 1
Let f(z) be the first derivative of 0*z - 1/7*z**2 - 2/21*z**3 + 2/35*z**5 + 1/14*z**4 - 80. Factor f(d).
2*d*(d - 1)*(d + 1)**2/7
Let 1019623421016*o + 4777/2*o**4 + 4279296*o**3 + 1016219002248 + 3408695676*o**2 + 1/2*o**5 = 0. Calculate o.
-1194, -1
Let l be (-4*9/(-72))/(2/180). Determine s so that -s - 4*s - 4 - 8 - l*s**2 + 5*s**3 + 57 = 0.
-1, 1, 9
Let i = -619/15 - -644/15. Let s(q) be the first derivative of -80*q - i*q**3 - 12 - 20*q**2. What is n in s(n) = 0?
-4
Suppose 9358 - 10632 = -26*q. Let i(z) be the second derivative of -5/12*z**3 + 1/16*z**4 + 0 + q*z - z**2. Factor i(t).
(t - 4)*(3*t + 2)/4
Determine p so that 3/4*p**2 + 495/2 + 111/4*p = 0.
-22, -15
Let t(x) = -x**3 - 4*x**2 - 3*x - 7. Let z be t(-4). Factor -2832*n**3 + z - 374*n + 192*n**4 + 37 - 133*n + 2052*n**2.
3*(n - 14)*(4*n - 1)**3
Let m(c) = -c**3 + 14*c**2 - 26*c + 26. Let a be m(12). Factor 30*l**4 - 35*l**4 + 5 + 10*l - 10*l**3 - 2*l + a*l.
-5*(l - 1)*(l + 1)**3
Let l(v) be the second derivative of v**6/255 - 2*v**5/85 - 23*v**4/34 + 132*v**3/17 - 324*v**2/17 + 1503*v. Solve l(k) = 0.
-9, 1, 6
Let z = 375 + -318. Let -z*w - 2 + w - 82 + 20*w**2 - 12*w + 4*w**3 = 0. Calculate w.
-7, -1, 3
Let a be ((-1)/(-3))/(539/1407). Let w = -1/77 + a. Factor -2/7 - w*r**2 - 2/7*r**3 - 6/7*r.
-2*(r + 1)**3/7
Let a be 169/((-46137)/1287) + ((-1)/3)/((-1)/15). Find x, given that 0*x - a*x**4 + 0 - 2/7*x**2 + 4/7*x**3 = 0.
0, 1
Let l(d) be the first derivative of d**6/24 + 26*d**5