 -2/7, 0, 1/3, 2
Let p(c) be the third derivative of -c**6/40 + 239*c**5/20 - 475*c**4/8 + 237*c**3/2 + 653*c**2 - c. Solve p(n) = 0 for n.
1, 237
Let j = 14952 - 14949. Let x(m) be the second derivative of -3/100*m**5 + 0 + 1/10*m**j - 1/150*m**6 + 29*m + 1/5*m**2 - 1/60*m**4. Factor x(i).
-(i - 1)*(i + 1)**2*(i + 2)/5
Let k = -3429 - -3432. Let w(m) be the first derivative of -15 - 4*m + m**4 - 2*m**2 + 4/3*m**k. Factor w(q).
4*(q - 1)*(q + 1)**2
Suppose -4*h - 2*m + 324 = 102, 283 = 5*h - 3*m. Suppose 0 = -58*d + h*d - 3*r - 9, 5*d + 2*r = 5. Determine z, given that -1/2*z**d - 5/2*z - 1 - 2*z**2 = 0.
-2, -1
Let b(k) = -5*k**2 + 29*k - 30. Let g(n) = 15*n**2 - 88*n + 90. Suppose -2*f + 7*f + 85 = 0. Let c = -841 + 835. Let a(v) = c*g(v) + f*b(v). Factor a(o).
-5*(o - 6)*(o - 1)
Determine n, given that 7196/9*n**3 + 2152798/3*n**2 + 25948808/9 + 2/9*n**4 - 25919992/9*n = 0.
-1801, 2
Let d be -52 + 49 + 2*2 + 1. Suppose -3 - 1 - 49*c**d + 2 - 14 + 56*c = 0. What is c?
4/7
Factor -2*m**3 + 4327 + 8*m + 4331 + 2*m**2 - 8666.
-2*(m - 2)*(m - 1)*(m + 2)
Let k(u) be the first derivative of -5/4*u**4 + 0*u + 49 - 5*u**5 + 0*u**2 - 5/2*u**6 + 5/3*u**3. Factor k(m).
-5*m**2*(m + 1)**2*(3*m - 1)
Let s(x) be the second derivative of -2*x**6/15 - x**5 + 7*x**4/3 + 10*x**3/3 - 12*x**2 - 1751*x. Determine d so that s(d) = 0.
-6, -1, 1
Let j = 0 - -5. Let c be (1/(-2))/((-3)/6) - -2. Factor j*n**4 - 9*n**4 + 2*n**2 + n**c + 3*n**4.
-n**2*(n - 2)*(n + 1)
Let q(s) be the second derivative of s**8/112 - 13*s**7/280 + s**6/30 + s**5/10 - 11*s**3/3 - 23*s. Let c(y) be the second derivative of q(y). Solve c(d) = 0.
-2/5, 0, 1, 2
Suppose 0 = 2*g - 3*l + 4529, 5*l - 2961 + 700 = g. Let n = g + 11351/5. Factor 12*d**2 + 0 - 24/5*d - 3/5*d**5 + n*d**4 - 54/5*d**3.
-3*d*(d - 2)**3*(d - 1)/5
Let f(j) be the second derivative of -j**5/120 + 15*j**4/8 - 1625*j**3/12 + 21125*j**2/12 - 951*j - 1. Let f(s) = 0. Calculate s.
5, 65
Let y(j) be the second derivative of -11*j**6/75 + 5139*j**5/50 - 467*j**4/15 - 3*j + 1681. What is f in y(f) = 0?
0, 2/11, 467
Suppose -2/15*i**4 + 48/5 - 54/5*i + 6/5*i**3 + 2/15*i**2 = 0. What is i?
-3, 1, 3, 8
Let c = 2/30845 + 215899/246760. Let y(m) be the first derivative of -c*m**2 - 35 - 3/4*m + 5/6*m**3. Suppose y(f) = 0. Calculate f.
-3/10, 1
Let a(t) be the third derivative of -t**5/390 + 315*t**4/26 - 297675*t**3/13 + 2*t**2 + 180*t + 2. Suppose a(c) = 0. Calculate c.
945
Let k(g) = g**3 + 48*g**2 + 350*g - 21. Let n be k(-39). Let i(u) be the first derivative of -u**2 + 1/3*u**3 - 1/24*u**4 + n + 4/3*u. What is x in i(x) = 0?
2
Let z(d) be the second derivative of -d**5/80 + 147*d**4/2 - 172872*d**3 + 203297472*d**2 - 16*d + 10. Factor z(n).
-(n - 1176)**3/4
Let n be 12*(25/1050)/((-3)/(-42)). Factor 2/3 + 10/3*p**n - 10/3*p - 2/3*p**5 - 20/3*p**3 + 20/3*p**2.
-2*(p - 1)**5/3
Let o be 49/4 + (-3)/12*1. Suppose o*f - 35 = 13. Solve -121 - f*l - l**2 + 14*l + 12*l = 0 for l.
11
Let q(r) be the second derivative of -1/100*r**5 + 3/20*r**4 + 6/5*r**2 + 5*r + 2 - 2/3*r**3. Suppose q(h) = 0. Calculate h.
1, 2, 6
Suppose 4*g = -2*q + 34, -5*q - 3*g = -33 - 80. Let v be (-22)/(-10) - (0 - (-5)/q). Factor -k + k - 5*k**v + 2*k**2.
-3*k**2
Factor 195/4*i**4 + 615/2*i**2 - 405/2*i**3 + 3/4*i**5 - 825/4*i + 207/4.
3*(i - 1)**4*(i + 69)/4
Let x(w) be the first derivative of -5*w**4/16 + 49*w**3/6 - 55*w**2/8 - 19*w/2 + 1006. Let x(q) = 0. Calculate q.
-2/5, 1, 19
Let y(o) be the first derivative of 27*o**6/14 - 3051*o**5/35 - 3771*o**4/14 - 304*o**3/7 + 3792*o**2/7 + 3840*o/7 + 1497. Find l, given that y(l) = 0.
-4/3, -2/3, 1, 40
Suppose -5*z - 15 = -5*f, -12*f = -17*f - z + 15. Suppose -2*g = 5*v - 4, -3*v = f*g - 2*v - 6. Solve 6/7*a**g + 0 - 4/7*a - 2/7*a**3 = 0.
0, 1, 2
Let d(g) be the third derivative of g**6/30 + 3*g**5/5 - 86*g**4/3 - 120*g**3 + 2*g**2 - 31*g. Let d(r) = 0. Calculate r.
-18, -1, 10
Suppose -4*h = -5*b - 48, -7*b + 8*b + 15 = -h. Let p be 42/4 - (b/(-6) + 1). Suppose -3/2*v**4 - 9/2*v - 3/2*v**3 + 0 + p*v**2 = 0. Calculate v.
-3, 0, 1
Let c(z) be the second derivative of z**5/60 - 1555*z**4/18 + 2418025*z**3/18 + 2*z - 1641. Factor c(p).
p*(p - 1555)**2/3
Let w(j) = 1 - 192*j**4 - 2 + 191*j**4. Let l(n) = 30*n**4 - 84*n**3 + 25*n**2 - 2*n - 6. Let b(g) = l(g) - 6*w(g). Suppose b(c) = 0. What is c?
0, 1/6, 2
Let d(k) be the first derivative of 42 - 1/120*k**6 - 7*k - 1/12*k**3 + 1/40*k**5 + 0*k**2 + 1/48*k**4. Let q(z) be the first derivative of d(z). Factor q(t).
-t*(t - 2)*(t - 1)*(t + 1)/4
Let v = 3912 + -1353. Let -v*z - 10648 + 21435*z - 251*z**4 - 9944*z**2 + 107*z**4 + 4*z**5 + 378*z**3 + 824*z**3 + 654*z**3 = 0. What is z?
1, 2, 11
Let i(a) be the third derivative of -a**5/60 - 71*a**4/24 + 31*a**3/3 - 3*a**2 + 5. Let z(y) = y**2 + 37*y - 32. Let x(h) = 3*i(h) + 5*z(h). Factor x(f).
2*(f - 13)*(f - 1)
Let t be (59 + -44)/(-20*4/(-16)). Factor -1/7 - 6/7*b**t + 6/7*b + 1/7*b**2.
-(b - 1)*(b + 1)*(6*b - 1)/7
Let k(c) be the first derivative of -56/45*c**3 - 8*c + 5 - 2/75*c**5 - 31/90*c**4 + 16/15*c**2. Let x(o) be the first derivative of k(o). Solve x(p) = 0.
-4, 1/4
Let y = -5798 - -52198/9. Let p(i) be the first derivative of 4/27*i**3 - 10/9*i**2 + y*i + 16. What is q in p(q) = 0?
1, 4
Let n be (5/(-198))/1*(-15)/(-200). Let s = 1061/2640 + n. Factor 0*d - 2/5 + s*d**2.
2*(d - 1)*(d + 1)/5
Let p(f) = 55*f + 45 - 38*f**2 + 49*f**2 - 19. Let i(r) = 2*r**2 + r - 1. Let j(h) = 2*i(h) - p(h). Factor j(a).
-(a + 7)*(7*a + 4)
Let s(n) be the second derivative of -n**6/20 + 33*n**5/20 - 21*n**4/8 + 52*n + 2. Find o such that s(o) = 0.
0, 1, 21
Let a(r) = -3*r**3 + 15*r**2 - 2*r + 10. Let f be a(5). Factor -39*b**3 + 3*b**5 - 3*b**4 + 30*b**3 + 3*b**2 + f*b**5 + 6*b.
3*b*(b - 2)*(b - 1)*(b + 1)**2
Solve -2/9*y**4 + 34*y**3 + 0 - 34*y + 2/9*y**2 = 0.
-1, 0, 1, 153
Let s(d) be the second derivative of 2*d + 0*d**3 + 10 - 48/5*d**5 + 128/9*d**4 - 1/63*d**7 + 11/15*d**6 + 0*d**2. Let s(i) = 0. Calculate i.
0, 1, 16
Let h(y) be the third derivative of y**8/168 + 16*y**7/105 - 14*y**6/15 + 11*y**5/15 + 55*y**4/12 - 38*y**3/3 - 129*y**2 - 1. Find t such that h(t) = 0.
-19, -1, 1, 2
Let l = -202352 - -202356. Let l + 2/5*i**2 - 14/5*i = 0. Calculate i.
2, 5
Let x(y) be the first derivative of -2/25*y**5 + 24 + 1/2*y**4 - y**2 + 8/5*y - 2/5*y**3. Let x(d) = 0. Calculate d.
-1, 1, 4
Suppose 0*j = 3*j + 2*g - 15, 4*j + 21 = 11*g. Suppose -18*a + 18 = -0. Factor -s**2 - a + 11/6*s + 1/6*s**j.
(s - 3)*(s - 2)*(s - 1)/6
Suppose -12*h - 170 = -26. Let c(q) = q**2 - q. Let x(i) = 16*i**2 + 236*i + 3844. Let b(z) = h*c(z) + x(z). Factor b(w).
4*(w + 31)**2
Let p(g) = 27*g - 7 + 3*g**3 - 24*g - g**3. Let u be p(2). Factor 5*z**3 - u*z**2 - 1789 + 1789.
5*z**2*(z - 3)
Suppose -101*h**5 - 77*h**5 + 193*h**5 + 7998*h**2 + 6705*h**3 + 2184*h + 906*h**4 = 0. What is h?
-52, -7, -1, -2/5, 0
Let r(c) be the first derivative of -5*c**4/4 + 25*c**3/3 + 20*c**2 - 60*c + 171. Suppose r(h) = 0. Calculate h.
-2, 1, 6
Let n(q) = 115*q**3 + 2*q**2 + 24*q - 24. Let d be n(1). Suppose 104*u = d*u. Solve -2/19*m**3 + u + 10/19*m**2 - 12/19*m = 0.
0, 2, 3
Let n be 6/24 - (143/44 - 7). Let w(b) be the second derivative of 1/15*b**3 + 0 + 1/30*b**n + 0*b**2 - 12*b. What is h in w(h) = 0?
-1, 0
Factor 0*c + 663/2*c**2 - 330*c**3 - 3/2*c**4 + 0.
-3*c**2*(c - 1)*(c + 221)/2
Factor -4/3*j**3 - 329476*j - 1148*j**2 - 94559612/3.
-4*(j + 287)**3/3
Let o = 109/130 + -22/65. Let a(x) be the third derivative of 0*x + o*x**4 + 2*x**3 + 1/20*x**5 - 16*x**2 + 0. Factor a(k).
3*(k + 2)**2
Solve -2*l**2 + 2/19*l**5 + 64/19 + 92/19*l - 94/19*l**3 - 26/19*l**4 = 0.
-2, -1, 1, 16
Let r(q) = 9*q - 173. Let u be r(17). Let j(m) = m**2 + 21*m + 20. Let y be j(u). Factor 2/7*i + 4/7*i**2 - 2/7*i**5 + 0*i**3 - 4/7*i**4 + y.
-2*i*(i - 1)*(i + 1)**3/7
Determine u, given that 388/17*u - 6/17*u**2 + 130/17 = 0.
-1/3, 65
Let j be (6/(-28) - (-5 - 259/(-49)))*-10. Let k(h) be the third derivative of 0 + 0*h - 1/20*h**4 + 0*h**3 + 19*h**2 + 1/150*h**j. Factor k(m).
2*m*(m - 3)/5
Let y(r) = 8*r**2 + 4082*r + 1044486. Let b(w) = -34*w**2 - 16325*w - 4177945. Let c(n) = -2*b(n) - 9*y(n). Factor c(j).
-4*(j + 511)**2
Let j be 7 - (4/8*3976/140 - 9). Factor -59/5*u**2 + j*u**4 - 22/5*u - 4*