
0, 8
Let y(u) be the third derivative of -3*u + 1/5*u**3 + 14*u**2 + 1/175*u**7 - 1/25*u**5 + 1/560*u**8 + 0 - 1/100*u**6 + 1/40*u**4. Solve y(v) = 0 for v.
-2, -1, 1
Let s(x) be the third derivative of -109*x**2 + 1/24*x**4 + 0*x**3 - 11/360*x**5 + 1/120*x**6 + 0 + 0*x - 1/1260*x**7. Factor s(o).
-o*(o - 3)*(o - 2)*(o - 1)/6
Solve -532/23*y**3 - 139384/23*y - 36426/23*y**2 - 137288/23 - 2/23*y**4 = 0.
-131, -2
Let s(n) be the second derivative of n**4/6 + n**3 - 40*n**2 + 8988*n. What is a in s(a) = 0?
-8, 5
Let f(y) be the second derivative of 0*y**3 + 0 + 305*y + 7/96*y**4 + 0*y**2 - 1/160*y**5. Factor f(w).
-w**2*(w - 7)/8
Let z(x) be the first derivative of -4*x**3/27 - 355*x**2/9 + 356*x/9 - 871. Factor z(p).
-2*(p + 178)*(2*p - 1)/9
Let h(v) be the third derivative of v**5/30 - 40*v**4/3 - 161*v**3/3 - 1231*v**2. Factor h(w).
2*(w - 161)*(w + 1)
Factor 1111*p**2 - 71*p - 1107*p**2 + 6*p - 21*p - 6*p - 200.
4*(p - 25)*(p + 2)
Let 49/2*f**4 - 849/8*f**2 + 17/2 - 3283/8*f**3 + 67/2*f = 0. Calculate f.
-2/7, -1/4, 2/7, 17
Factor -48*p + 308 + 4/7*p**2.
4*(p - 77)*(p - 7)/7
Let f(c) = -c**2 - c. Let u(a) = -4*a**2 - 2*a + 3. Let s be u(1). Let i(d) = -d**2 - 7*d. Let y(b) = s*f(b) + i(b). What is l in y(l) = 0?
0, 2
Suppose -154 = -25*f + 14*f. Factor f*i**2 + 21*i**4 - 14*i**4 - 9*i**4 + 8*i**3 - 20*i.
-2*i*(i - 5)*(i - 1)*(i + 2)
Let w(y) = -14*y**3 - 2*y**2 - 3*y - 2. Let t be w(-1). Suppose -3 = -t*l + 12*l. Factor -6*k**l + 730*k + 15*k**4 - 730*k.
3*k**3*(5*k - 2)
Suppose g = -12*g + 8346. Let z = g + -5776/9. Determine h, given that -8/9*h - z*h**2 - 2/3 = 0.
-3, -1
Let c(h) be the first derivative of 5*h**6/6 - 18*h**5 + 225*h**4/4 + 20*h**3/3 - 150*h**2 + 3171. Let c(b) = 0. Calculate b.
-1, 0, 2, 15
Let o(z) be the first derivative of 0*z**4 + 0*z**2 - 7/10*z**5 - 1/4*z**6 + 61 + 0*z + 2/3*z**3. Solve o(s) = 0 for s.
-2, -1, 0, 2/3
Let m(q) = -q**3 - q**2 + q + 2. Let s(i) = -3*i**4 - 37*i**3 - i**2 + i + 2. Let j(c) = m(c) - s(c). Let j(p) = 0. Calculate p.
-12, 0
Suppose 0 = -443*y + 440*y + 6. Factor -2*q**3 + 50*q**2 - 559 + 5*q**3 - 11*q**y + 48*q - 17.
3*(q - 3)*(q + 8)**2
Let b(s) = 6*s**2 - 28*s - 5. Let q be b(5). Suppose 0 = -2*d - 0*d - w + 8, -3*w - 9 = -q*d. Factor 2*t**d - 31*t**3 - 66*t**2 - 27 + 5*t**3 - 72*t - 3*t**4.
-3*(t + 1)**2*(t + 3)**2
Suppose v - 858 = z - 834, 0 = 75*v + z - 280. Solve 1 - q**v + 1/2*q**5 - 7/2*q + 4*q**2 - q**3 = 0 for q.
-2, 1
Determine g, given that 50*g + 45/4*g**5 - 595/2*g**2 + 1405/4*g**3 + 0 - 115*g**4 = 0.
0, 2/9, 1, 4, 5
Suppose 110*f - 1 = 109*f, 3*l + 4*f = 19. Determine x, given that -l*x - 1/2*x**4 - x**3 + 0 + 13/2*x**2 = 0.
-5, 0, 1, 2
Let l(q) be the second derivative of 1/12*q**5 + 23/18*q**3 + 2*q + 4/3*q**2 + 7/12*q**4 - 1/90*q**6 + 83. Let l(y) = 0. Calculate y.
-1, 8
Let x be 30 + (-2 - 3) - (-160 + 183). Factor -2/9*h**x + 16/9 - 14/9*h.
-2*(h - 1)*(h + 8)/9
Let s(j) = -2*j**3 - 2*j - 5. Let t be s(-2). Determine g so that t*g**3 - 5*g**2 + 10 - 22*g + 13*g - 5*g**4 - 6*g = 0.
-1, 1, 2
Let t = -1324/9 - -148. Let f = 19508 - 175556/9. Factor -10/9*s**2 + f*s - t + 2/9*s**3.
2*(s - 2)**2*(s - 1)/9
Let z(p) be the second derivative of p**6/20 - 3*p**5/10 - 51*p**4/8 + 155*p**3/2 - 300*p**2 - 16*p + 33. Let z(t) = 0. What is t?
-8, 2, 5
Solve -156*b**2 - 288 + 75/4*b**3 + 375*b + 3/4*b**4 = 0.
-32, 2, 3
Let -3*j**3 + 38*j**3 - 2824*j**2 + 1380*j + 402*j**2 - 2418*j**2 = 0. What is j?
0, 2/7, 138
Let -133*s**2 + 28422252*s + 14580615276 + 4*s**3 + 9510*s**2 + 9091*s**2 = 0. What is s?
-1539
Let z = 33 - 18. Let n = 27 - z. Suppose -14*o**4 + 5*o**4 + 12*o**3 + 12*o**4 + n*o**2 = 0. Calculate o.
-2, 0
Let r(f) be the first derivative of f**5/7 - 271*f**4/14 + 72*f**3/7 + 897. Factor r(n).
n**2*(n - 108)*(5*n - 2)/7
Let k be 1/8*2*33/990*0. Suppose 3/5*q**5 - 12/5*q + k - 9/5*q**3 - 24/5*q**2 + 6/5*q**4 = 0. Calculate q.
-2, -1, 0, 2
Let a(h) = 8*h**2 - 24*h**3 + 50*h**4 - 49*h**4 + h**3. Let g(t) be the first derivative of -3*t**4 + 4*t**3/3 + 3. Let b(z) = 4*a(z) - 7*g(z). Factor b(o).
4*o**2*(o - 1)**2
Suppose -2584 = 5*l + 3*l. Let n = 503 + l. Suppose 2*k**5 + 65*k**4 + n*k**2 - 2*k**5 - 240*k**3 - 5*k**5 = 0. Calculate k.
0, 1, 6
Find m such that -161*m**3 + 0 - 168*m**3 + 3*m**4 + 347*m**3 + 0 = 0.
-6, 0
Let -44/9 - 26/9*y**3 - 112/9*y - 31/3*y**2 - 1/9*y**4 = 0. What is y?
-22, -2, -1
Let l be 44505/8815 + 2/(-41). Let z(i) be the third derivative of 17*i**2 - 1/15*i**l + 1/3*i**4 + 0 + 0*i**3 + 0*i. Factor z(r).
-4*r*(r - 2)
Let s(z) = -32*z + 3*z + 10*z - z**2 - 61. Suppose 2*i = 5*i - 6. Let r(k) = -k**2 - 18*k - 62. Let v(l) = i*s(l) - 3*r(l). Factor v(m).
(m + 8)**2
Let p = 194 + -194. Let j(s) be the third derivative of 0*s**3 + 0 + p*s + 5/12*s**4 + 7*s**2 - 5/12*s**5. Determine x, given that j(x) = 0.
0, 2/5
Factor -4*q**2 + 14010*q + 14015*q + 32*q**3 - 28059*q + 20*q**4 + 2*q**5 - 16.
2*(q - 1)*(q + 1)**3*(q + 8)
Factor 959/4 - 1/4*g**2 + 479/2*g.
-(g - 959)*(g + 1)/4
Let i(l) be the third derivative of -13*l**2 - 1/20*l**5 - 2 + 0*l - 19/16*l**4 + 1/2*l**3 + 19/80*l**6. Factor i(d).
3*(d - 1)*(d + 1)*(19*d - 2)/2
Let u(b) be the first derivative of 11*b**2 + 25 + 20*b + 2/3*b**3. Determine r so that u(r) = 0.
-10, -1
Let u(k) = 25*k**3 + 2120*k**2 - 17865*k + 320. Let h(b) = -2*b**3 - 163*b**2 + 1374*b - 24. Let i(z) = 40*h(z) + 3*u(z). Factor i(c).
-5*c*(c - 7)*(c + 39)
Let i(z) be the first derivative of 0*z**2 + 1 + 18*z - 1/6*z**3 + 1/6*z**4 - 1/20*z**5. Let c(v) be the first derivative of i(v). Find f such that c(f) = 0.
0, 1
Let s be (-60)/(-100) + 4 + 124/(-140). Factor -24/7*q - 2/7 + s*q**2.
2*(q - 1)*(13*q + 1)/7
Let s(p) be the third derivative of -p**5/450 + 37*p**4/36 - 122*p**3/15 + 213*p**2 + 6. Factor s(a).
-2*(a - 183)*(a - 2)/15
Let a(u) be the first derivative of u**4/4 - 9*u**3/2 + 30*u**2 + 62*u + 5. Let v(l) be the first derivative of a(l). Factor v(z).
3*(z - 5)*(z - 4)
Let a(s) be the third derivative of -4*s - 1/40*s**6 + 7*s**2 - 3*s**3 + 1/8*s**4 + 0 + 3/10*s**5. Factor a(v).
-3*(v - 6)*(v - 1)*(v + 1)
Let c be (-21 + 18 - (0 + -3)) + 432/126. Factor 0 - c*r - 4/7*r**2.
-4*r*(r + 6)/7
Let b(r) be the second derivative of 2/15*r**6 + 0*r**2 - 19/3*r**4 + 0*r**3 + 88*r - 18/5*r**5 + 0. What is i in b(i) = 0?
-1, 0, 19
Suppose 0 = -9*c + 7*c - 2*q + 80, 4*q = 5*c - 173. Factor 41*v**4 + 64*v - c*v**4 - 88*v**2 + 37*v**3 - 17*v**3.
4*v*(v - 2)*(v - 1)*(v + 8)
Suppose -2*g + 96 = 7*z, -24 = 152*g - 156*g. Factor 20*b**3 + z*b**2 + 44/3*b**4 + 4*b**5 + 0 + 8/3*b.
4*b*(b + 1)**3*(3*b + 2)/3
Let r be 54/(-7)*(-7 - 21). Let x = 216 - r. Factor 0*o - 1/2*o**4 - 1/2 + o**2 + x*o**3.
-(o - 1)**2*(o + 1)**2/2
Let b(t) be the second derivative of 0 - 196*t + 25/6*t**4 - 1/4*t**5 - 55/2*t**3 + 90*t**2. Find h, given that b(h) = 0.
3, 4
Let q(m) be the first derivative of m**4/14 + 52*m**3/7 + 227*m**2/7 + 300*m/7 + 712. Let q(g) = 0. Calculate g.
-75, -2, -1
What is t in -375*t**4 - 156*t - 4*t**3 + 72 + 92*t**2 - 373*t**4 + 1125*t**4 - 381*t**4 = 0?
-6, 1, 3
Suppose 24*d + 108905 = 108977. Determine c, given that 3/4*c**d + 69/4*c - 39/4*c**2 - 33/4 = 0.
1, 11
Solve 5*n**2 - 3082*n - 2886*n + 6528*n = 0 for n.
-112, 0
Let f(u) be the first derivative of u**5/15 - 27*u**4/2 + 6229*u**3/9 + 4482*u**2 + 27556*u/3 + 2343. Factor f(s).
(s - 83)**2*(s + 2)**2/3
Suppose -240 = -75*g - 5*g. Factor -110*i**3 + 16 - 114*i**g + 336*i**3 - 4*i**2 - 8*i - 110*i**3.
2*(i - 2)**2*(i + 2)
Factor 130/7*z**3 + 134/7*z + 2/7*z**4 - 38*z**2 + 0.
2*z*(z - 1)**2*(z + 67)/7
Let x(u) be the second derivative of -u**6/60 + 7*u**5/120 - u**4/36 - 491*u. Determine k so that x(k) = 0.
0, 1/3, 2
Let q(f) be the third derivative of -f**6/1140 + 11*f**5/570 + f**4/228 - 11*f**3/57 + 2*f**2 + 40*f. Factor q(w).
-2*(w - 11)*(w - 1)*(w + 1)/19
Factor 186*z - 462 + 51/2*z**2 - 3/2*z**3.
-3*(z - 22)*(z - 2)*(z + 7)/2
Let i(a) = -a**4 - a**2 + a - 1. Let k(j) = -82*j + 45 - 57*j**3 + 220*j**2 - 73*j - 88*j**3 + 50*j**4 - 5*j**5. Let m(f) = -5*i(f) - k(f). Factor m(l).
5*(l - 4)*(l - 2)*(l - 1)**3
Let m(d) be the first derivative of -d**4/4 - 395*d**3/3 + 796*d**2 - 1596*d - 312. Solve m(b) = 0 for b.
-399, 2
Suppose -2*l + 2*b = -0*l - 14, -3*l + b = -11. Suppose 1 = 4*n 