/7*u + 4*u**2 = 0 for u.
-2/7, 770
Let z(d) = 24*d**2 - 623*d + 544. Let k(p) = 13*p**2 - 313*p + 270. Let i(g) = -11*k(g) + 6*z(g). Determine y so that i(y) = 0.
1, 294
Let z be (-16 - -22)*(0 + 452/(-8)). Let y = z - -343. Factor 2/3*q**3 - 16/3 + 8*q - y*q**2.
2*(q - 2)**3/3
Suppose 0 = -3*l - 10 - 2, -4*l = 4*d - 2216. Find h, given that 214*h**2 + d + 112*h + 226 - 210*h**2 = 0.
-14
Find v such that -353*v - 4*v**2 + 41*v + 10399 - 10399 = 0.
-78, 0
Factor 10065*a**2 + 121*a**4 + 10055*a + 3350 + 3365*a**3 - 87*a**4 - 29*a**4.
5*(a + 1)**3*(a + 670)
Let m = -349186 + 349186. Determine x so that m + 0*x + 0*x**2 - 2/3*x**3 - 1/3*x**4 = 0.
-2, 0
Find c such that 1159/4*c**2 - 33524*c - 13456 - 5/8*c**3 = 0.
-2/5, 232
Suppose 31 + 23 = 6*s. Suppose 12*l - 35*l - s*l - 6*l**2 + 24 = 0. What is l?
-6, 2/3
Suppose -5*r - 2 = v, -2*r = -3*v - 5*r + 6. Let h = -47 + 59. Let -2*k - 8*k**2 - 2*k + 8*k**3 - h*k**v = 0. Calculate k.
-1, 0
Let v(n) = 28*n**4 - 44*n**3 - 46*n**2 + 26. Let d(o) = o**4 - 2*o**3 - 2*o**2 + 1. Let u(w) = 52*d(w) - 2*v(w). Factor u(l).
-4*l**2*(l + 1)*(l + 3)
Let n be (5 + -3 - -3) + -2. Let w be (n - 0) + (-2)/((-60)/(-65)). Find f such that -w + 7/3*f - 7/6*f**2 - 1/3*f**3 = 0.
-5, 1/2, 1
Let h(x) be the first derivative of x**5/10 - 11*x**4/2 + 105*x**3 - 675*x**2 - 3375*x/2 + 3227. Let h(r) = 0. What is r?
-1, 15
Let c(b) be the first derivative of 3*b**5 + 535*b**4/4 - 245*b**3 + 185*b**2/2 - 7376. Find k, given that c(k) = 0.
-37, 0, 1/3, 1
Let c be 0*(215/172 + 1/(-4)). Let f(b) be the second derivative of 5/4*b**4 - 1/4*b**5 + 0*b**2 - 20*b + c - 5/3*b**3. What is s in f(s) = 0?
0, 1, 2
Let x be 25/10 - (-2)/(-4). Suppose -x*n - 6 = -28. Determine s, given that n - 3*s + 3*s**2 - 11 = 0.
0, 1
Let y = 70 - -153. Let j = y - 221. Factor 4/13*b + 2/13*b**j + 2/13.
2*(b + 1)**2/13
Suppose 8*b**5 + 17*b**3 + 22*b**4 - 9*b**5 + 24*b**2 + 30*b**3 = 0. What is b?
-1, 0, 24
Let -471/2 - 945/4*k - 3/4*k**2 = 0. What is k?
-314, -1
Let c(v) be the second derivative of v**6/45 - v**5/15 - 2*v**4/3 + 2*v**3 + 9*v**2 + 225*v - 2. Factor c(a).
2*(a - 3)**2*(a + 1)*(a + 3)/3
Solve -1267/4 - 1/4*k**2 - 317*k = 0 for k.
-1267, -1
Factor -179 + 3*m**2 - 260 - 398*m + 895 - 192.
(m - 132)*(3*m - 2)
Suppose -2*t - 6*u = -11*u + 7, 5*t = -5*u + 70. Find n, given that 4*n**2 - 8*n - 8*n + 51*n + 40 - t*n**2 = 0.
-1, 8
Let l(d) be the first derivative of 7*d**3/3 - 37*d**2 + 120*d - 4389. Factor l(c).
(c - 2)*(7*c - 60)
Suppose 2*v = 5*j - 3*v - 265, 3*j = -5*v + 175. Let s = j + -51. Factor -58*g**4 - 52*g**s - 6*g + 6*g**3 + 107*g**4 + 3.
-3*(g - 1)**3*(g + 1)
Let m be (-3256)/(-9504) - ((-168)/81 - -2). Let r(x) be the second derivative of 0*x**2 - m*x**4 + 0*x**3 - 26*x + 0 - 1/4*x**5. Determine c so that r(c) = 0.
-1, 0
Let r(c) be the first derivative of -c**7/280 + 3*c**5/10 + 2*c**4 - c**3 - 17*c + 52. Let f(q) be the third derivative of r(q). Factor f(p).
-3*(p - 4)*(p + 2)**2
Let w(k) be the second derivative of 1/18*k**3 - 1/9*k**2 + 0 - 95*k + 1/54*k**4. Factor w(f).
(f + 2)*(2*f - 1)/9
Let x(l) be the third derivative of -l**7/140 - 11*l**6/360 - l**5/30 - 8*l**4/3 + 65*l**2. Let n(b) be the second derivative of x(b). Factor n(c).
-2*(c + 1)*(9*c + 2)
Let n = -10 - -19. Suppose n*x = 2*x + 21. What is h in 12 + 0*h**2 + 3*h**2 + 17*h + h - x*h = 0?
-4, -1
Determine w so that -2574*w - 1 + 648*w - 1 + 2 + 2*w**2 = 0.
0, 963
Suppose 12530 = 5*d + 2*d. Factor 40*i**2 - 899*i**4 - 80 + d*i**4 - 896*i**4.
-5*(i - 2)**2*(i + 2)**2
Let 617*f**4 + 615*f**4 - 29240*f - 344*f**3 - 15132*f**2 - 1234*f**4 - 14450 = 0. What is f?
-85, -1
Let r(i) be the third derivative of i**7/315 - 36*i**6/5 + 23328*i**5/5 - 195*i**2 - 5. Factor r(p).
2*p**2*(p - 648)**2/3
Solve 50/9*g**4 - 1456/9*g + 128/3 + 1432/9*g**2 - 500/9*g**3 = 0 for g.
2/5, 8/5, 2, 6
Let -19/4*t**4 + 0 + 3/4*t**5 - 21/4*t**2 + t + 33/4*t**3 = 0. Calculate t.
0, 1/3, 1, 4
Let c(w) be the third derivative of -w**6/540 - w**5/27 - 17*w**4/108 - 8*w**3/27 - 8*w**2 + 18*w - 12. Factor c(n).
-2*(n + 1)**2*(n + 8)/9
Suppose -39*f**2 + 13/2 - 1013/2*f = 0. Calculate f.
-13, 1/78
Find v, given that 27/2*v**2 + 3/2*v**4 + 0 + 6*v + 9*v**3 = 0.
-4, -1, 0
Let k(i) be the first derivative of 5*i**4/4 - 515*i**3/3 + 1015*i**2/2 - 505*i + 3501. Factor k(z).
5*(z - 101)*(z - 1)**2
Let u(x) be the first derivative of -36*x - 19*x**2 - 200 - 2/3*x**3. Factor u(b).
-2*(b + 1)*(b + 18)
Let z = -6 + 8. Suppose -5*k = -4*f + 568, -z*f = 5*k - 206 - 78. Factor -384*x**2 - 83*x**3 + 49*x**3 - f*x**3 - 64 - 28*x**4 - 320*x.
-4*(x + 2)**3*(7*x + 2)
Suppose -2/5*l**2 + 2088/5*l - 544968/5 = 0. Calculate l.
522
Suppose -205*w = -219*w + 10318. Let n = 8111/11 - w. Solve 6/11*x + 4/11*x**2 - n*x**3 + 2/11 - 2/11*x**5 - 6/11*x**4 = 0 for x.
-1, 1
Factor 0 - 832/3*o**2 - 676/3*o**3 - 256/3*o.
-4*o*(13*o + 8)**2/3
Let k(r) be the first derivative of r**7/105 - r**6/15 + r**5/5 - r**4/3 + r**3/3 + 69*r**2/2 - 22. Let x(u) be the second derivative of k(u). Factor x(w).
2*(w - 1)**4
Suppose -1 - 3 = -4*y - 4*s, -4*s = -16. Let j be (-2)/(2 - (y - -3)) - -4. Factor -2*h**3 + h**j + 8 - 8 - h**4.
-h**3*(h + 1)
Let d = -120 - -267. Suppose d + 7*f**2 - 47*f**2 + 18 + 49*f + 123 + 4*f**3 - f = 0. What is f?
-2, 6
Let g(t) be the first derivative of t**2 + 14*t - 38. Let h be g(-6). Factor -8 + 4*s**3 - 4*s**4 + 12*s**h - 4*s + 7*s**2 - 7*s**2.
-4*(s - 2)*(s - 1)*(s + 1)**2
Let o be (0*2/(-6)*1)/(-1 - -2). Let u(m) be the third derivative of 0 + 0*m + o*m**4 - 2/105*m**5 + 14*m**2 - 1/210*m**6 + 0*m**3. Factor u(z).
-4*z**2*(z + 2)/7
Suppose -18*s = -23*s + 15. Let c(k) = -75*k**3 - 420*k**2 - 295*k + 730. Let n(r) = 11*r**3 + 60*r**2 + 42*r - 104. Let q(t) = s*c(t) + 20*n(t). Factor q(i).
-5*(i - 1)*(i + 2)*(i + 11)
Let h(n) be the first derivative of n**4/8 - n**3/3 - n**2/4 + n + 4175. Factor h(v).
(v - 2)*(v - 1)*(v + 1)/2
Suppose 0 = -5*h - 15, -1226*j - 7 = -1225*j + 3*h. Let -4/9*q**j + 2/9*q + 4/9 - 2/9*q**3 = 0. Calculate q.
-2, -1, 1
Factor 188*d - 40 + 1136940*d**3 - 188*d**2 + 12*d**2 - 1136912*d**3.
4*(d - 5)*(d - 1)*(7*d - 2)
Solve 3780*c - 2*c**2 - 3662*c - 3481 + c**2 = 0.
59
Let l(c) = -3*c**3 + 24*c**2 - 48*c. Let r be l(4). Let b(u) be the second derivative of 1/24*u**4 + r*u**2 - 6*u + 1/12*u**3 + 0. Factor b(z).
z*(z + 1)/2
Let c(q) be the second derivative of q**6/60 + q**5/30 - q**4/6 - 45*q**2 - 72*q. Let d(t) be the first derivative of c(t). Factor d(m).
2*m*(m - 1)*(m + 2)
Let w(g) be the second derivative of -g**4/84 - 131*g**3/7 - 154449*g**2/14 - 3*g - 21. Suppose w(r) = 0. Calculate r.
-393
Let d(g) be the third derivative of -g**5/15 - 11*g**4/2 - 64*g**3/3 + 322*g**2 + 1. Factor d(t).
-4*(t + 1)*(t + 32)
What is a in -2*a**4 + 168*a**3 - 698*a**3 - 36412*a**2 - 172120*a + 3*a**4 - 3*a**4 - 188375 - 14425 = 0?
-130, -3, -2
Let p = -1118/337 + 9634/1685. Let x be 2*(-1 + (-2)/(-1)). Solve 3 - 3/5*f**x + p*f = 0.
-1, 5
Suppose 4*p = -4*o - 7 - 9, 3*o + 14 = -p. Let a be 2/o + 153/45. Factor 1 - 6 + 2 + 3*v**a - 3*v + 3*v**2.
3*(v - 1)*(v + 1)**2
Let g = -3352 + 3357. Let t(b) be the second derivative of 3*b**2 + 3/20*b**g + b**4 + 12*b + 0 + 5/2*b**3. Find p, given that t(p) = 0.
-2, -1
Suppose -10 = -2*b + 6. Let h be b/198 - 40/(-220). Factor h*s**3 - 2/9*s + 2/9*s**4 + 0 - 2/9*s**2.
2*s*(s - 1)*(s + 1)**2/9
What is f in -5*f**5 + 115*f**4 - 16*f**4 + 25*f**3 - 109*f**4 + 30*f**2 = 0?
-3, -1, 0, 2
Factor 600 + 23/3*g**3 - 605*g - 7/3*g**2 - 1/3*g**4.
-(g - 15)**2*(g - 1)*(g + 8)/3
Let h(c) = 192*c**2 - 4*c - 18. Let j = -15 - -10. Let p be h(j). Determine o so that -485*o**2 - 103*o**2 + 17*o + 39*o - p*o**4 - 2 + 2744*o**3 = 0.
1/7
Let a(v) be the second derivative of -v**5/40 + 109*v**4/24 + 28*v**3/3 - 55*v**2 + 2*v + 514. Factor a(o).
-(o - 110)*(o - 1)*(o + 2)/2
Let j be ((19920/150)/8 - 17)/((-14)/10). Solve 1152/7 + j*b**2 - 96/7*b = 0.
24
Let y(o) be the third derivative of 53*o**5/12 + 5*o**4/12 - 47*o**2 - 13*o. Suppose y(q) = 0. Calculate q.
-2/53, 0
Let j(v) be the first derivative of 0*v + 1/9*v**3 + 116 + 1/6*v**2. Solve j(g) = 0.
-1, 0
Let r(g) be the first derivative of g**5/15 + g**4 + 46*g**3/9 + 10*g**2 + 25*g/3 - 1019. Factor r(j).
(j + 1)**2*(j + 5)**2/3
Let u(d