?
-347, -1
Let j = -77450 - -77452. What is k in 27/4*k**3 + 33/4*k - 27/2*k**j - 3/2 = 0?
1/3, 2/3, 1
Let q(s) be the second derivative of -s**7/70 - 27*s**6/50 - 147*s**5/100 + 27*s**4/20 + 5*s**3 - 2*s + 44. What is c in q(c) = 0?
-25, -2, -1, 0, 1
Let b = 28/65 - 607/1560. Let y(u) be the second derivative of -12*u + 1/8*u**2 + b*u**3 + 1/168*u**7 + 1/120*u**6 - 1/40*u**5 - 1/24*u**4 + 0. Factor y(z).
(z - 1)**2*(z + 1)**3/4
Let i = 3821/1477 - 23/1477. Let 0*v + 0*v**2 + 0 - 3/7*v**5 + i*v**4 - 15/7*v**3 = 0. What is v?
0, 1, 5
Let b(p) be the second derivative of -43/22*p**4 + 14*p + 0*p**2 - 5 - 6/11*p**3 - 20/33*p**6 - 26/11*p**5. Factor b(w).
-2*w*(w + 2)*(10*w + 3)**2/11
Factor 830/9*j - 277/3*j**2 + 1/9.
-(j - 1)*(831*j + 1)/9
Let j(o) be the first derivative of o**3/3 - 13*o**2/2 - 46*o + 51. Let n be j(16). Solve 0*w**3 - 14*w - 3*w**3 - 6*w**3 - 3*w**4 - w + 27*w**n = 0.
-5, 0, 1
Let x(c) be the third derivative of c**6/40 - 29*c**5/20 - 61*c**4/8 - 31*c**3/2 - c**2 - 409. Solve x(n) = 0.
-1, 31
Let x(w) = w**4 + w**3 + 1. Let q = 6 - 3. Let n(j) = -10*j**3 + j**3 + q*j**4 - 2 - 72*j**2 - 7*j**4 - 17*j**3. Let a(o) = -2*n(o) - 4*x(o). Factor a(k).
4*k**2*(k + 6)**2
Let h(n) be the first derivative of -11/2*n**3 - 3/4*n**4 + 0*n + 9/2*n**2 + 7. Find f, given that h(f) = 0.
-6, 0, 1/2
Let n be (((-8)/5)/(-1))/(-52*6/(-390)). Let y = 685/516 + 1/172. Factor 1/3*v**n - y*v + 1.
(v - 3)*(v - 1)/3
Factor -454/3*l - 1366/9*l**3 + 2726/9*l**2 + 2/9*l**4 + 0.
2*l*(l - 681)*(l - 1)**2/9
Let o(v) be the second derivative of 0*v**3 + 112*v + 1/66*v**4 - 9/11*v**2 + 0. Factor o(c).
2*(c - 3)*(c + 3)/11
Solve -648024*u + 6*u**4 - 4*u**4 + 323208 + 326426*u**2 + 18666*u**3 + 17968*u**3 - 38246*u**3 = 0.
1, 402
Let m = -5735/123 + 5776/123. Factor -4/3 + 5/3*j**3 - 1/3*j**2 - 1/3*j**5 - 8/3*j + m*j**4.
-(j - 2)**2*(j + 1)**3/3
Suppose -185*d + 58376 - 58006 = 0. What is s in -6/7*s + 0 + 1/7*s**3 - 1/7*s**d = 0?
-2, 0, 3
Find l, given that -24*l + 2467*l**4 + 90*l**3 - 228*l**2 - 4921*l**4 + 288 + 2457*l**4 - 3*l**5 = 0.
-6, -1, 2, 4
Suppose -5*r + 2*g = -42, 0 = -2*r - 5*g + 19 + 21. Let k be r/8 - 2 - (-212)/112. Factor 2/7*p**2 + 8/7 + k*p.
2*(p + 2)**2/7
Let b(d) be the third derivative of d**5/15 + 4*d**4/3 + 14*d**3/3 - 2365*d**2. Factor b(s).
4*(s + 1)*(s + 7)
Let l(o) = o**3 - 102*o**2 - 229*o + 2189. Let p be l(104). Factor 0 + 0*z - 3/2*z**3 - 1/2*z**p + 2*z**4 + 0*z**2.
-z**3*(z - 3)*(z - 1)/2
Let i(f) be the third derivative of 8/9*f**3 - 1/5*f**5 - 2*f**2 - 1/45*f**6 - 1/6*f**4 + 3*f + 0. Factor i(v).
-4*(v + 1)*(v + 4)*(2*v - 1)/3
Let k(x) be the first derivative of x**5/20 + x**4/2 + 11*x**3/12 - 5*x**2/2 + 1603. Suppose k(j) = 0. What is j?
-5, -4, 0, 1
Factor 1906/9*f**2 - 455056/9*f - 2/9*f**3 + 453152/9.
-2*(f - 476)**2*(f - 1)/9
Factor -2/11*y**3 - 58/11*y**2 - 1800/11 - 560/11*y.
-2*(y + 9)*(y + 10)**2/11
Let m(b) be the second derivative of b**5/170 - b**4/17 + 3*b**3/17 + 9*b - 27. What is u in m(u) = 0?
0, 3
Let -525*v**3 + 817*v - 196*v**2 + 100*v**5 - 95*v**4 + 3847*v - 49*v**2 - 1234*v - 105*v**5 = 0. What is v?
-7, 0, 2
Let r(q) = -14*q**3 + 4*q**2 + 72*q + 4. Let c(s) = 2*s + 1. Let a(g) = -4*c(g) + r(g). Factor a(p).
-2*p*(p + 2)*(7*p - 16)
Let x(k) be the third derivative of 0*k**3 + 27*k**2 + 0*k**4 + 7/75*k**5 + 29/600*k**6 + 1/1050*k**7 + 0*k + 5. Factor x(h).
h**2*(h + 1)*(h + 28)/5
Let c = 6009 - 270403/45. Let k(q) be the first derivative of 2/15*q**2 - c*q**3 + 12 + 2/5*q. Factor k(z).
-2*(z - 3)*(z + 1)/15
Let l be ((-1495)/7245 + 4/(-18))*-7. Determine g, given that 10*g**l - 10*g + 5/2 - 5/2*g**2 = 0.
-1, 1/4, 1
Let g = 72 + -126. Let c be (g/24)/9 + 18/8. Let -w - 7*w + 5*w**c - w**2 - 12 = 0. Calculate w.
-1, 3
Determine x so that 1/6*x**2 + 14792/3 - 172/3*x = 0.
172
Let q(b) = -325*b**2 + 595*b + 1275. Let v(d) = 29*d**2 - 54*d - 116. Let a(f) = -4*q(f) - 45*v(f). Suppose a(n) = 0. What is n?
-2, 12
Suppose -4/3*j**2 + 80*j - 900 = 0. Calculate j.
15, 45
Suppose -231 = -22*b - 55. Let z be ((-60)/b)/(-15)*0. Factor z*l + 6/7*l**3 + 2*l**2 - 8/7.
2*(l + 1)*(l + 2)*(3*l - 2)/7
Suppose -d**5 + 20*d**4 + 35*d**4 + 292*d**2 + 276*d**4 + 583*d**3 - 41*d**4 = 0. Calculate d.
-1, 0, 292
Let m(p) = -190*p - 35906. Let j be m(-189). Let 37/4*x**3 - 21*x**2 - 5/4*x**j - 4 + 17*x = 0. Calculate x.
2/5, 1, 2, 4
Let v(n) be the first derivative of n**6/35 + n**5/7 - 4*n**4/21 + 3*n - 256. Let x(i) be the first derivative of v(i). Solve x(a) = 0 for a.
-4, 0, 2/3
Let n(b) = 96*b**2 + 3 + 3*b**2 - 1. Let d be n(1). Determine m so that 40*m**4 + 88*m**3 - 33*m**2 + d*m**3 + 4*m**5 - 57*m**3 + 64*m + 193*m**2 = 0.
-4, -1, 0
Let y(r) be the third derivative of 1/126*r**7 - 63*r + 2*r**2 - 1/36*r**6 + 5/72*r**4 - 1/18*r**5 + 5/1008*r**8 + 5/18*r**3 + 0. Factor y(w).
5*(w - 1)**2*(w + 1)**3/3
Let i(a) be the first derivative of 4*a**5/25 + 588*a**4/5 + 172872*a**3/5 + 25412184*a**2/5 + 1867795524*a/5 - 4556. Suppose i(l) = 0. What is l?
-147
Factor 17*h**2 + 508*h**2 - 3*h**4 + 8 + 262 + 410*h + 96*h**3 + 27*h**3 + 259*h.
-3*(h - 45)*(h + 1)**2*(h + 2)
Determine j so that -10/3*j**4 - 7*j**3 + 43*j + 12 + 106/3*j**2 = 0.
-4, -3/5, -1/2, 3
Suppose 1/3*r**5 + 8/3*r**2 - 16/3 - 2/3*r**4 - 11/3*r**3 + 20/3*r = 0. Calculate r.
-2, 1, 4
Let l(f) be the third derivative of 1/114*f**5 - 12/19*f**3 - 1/190*f**6 - 54*f**2 + 0 + 2/19*f**4 + 1/1995*f**7 + 0*f. Suppose l(c) = 0. Calculate c.
-2, 2, 3
Let q = 27540/7 + -110139/28. Let q - 1/4*b**2 + 1/2*b = 0. Calculate b.
-1, 3
Let p be (6 - 0) + -7 + 6. Determine q, given that 3*q - 9*q + 42*q**2 + q**2 + 36*q**p + 24*q**2 - 155*q**3 - 192*q**4 = 0.
-1, 0, 1/6, 6
Let p(s) be the third derivative of -s**6/40 + 3*s**5/4 - 71*s**4/8 + 105*s**3/2 + 447*s**2. Factor p(h).
-3*(h - 7)*(h - 5)*(h - 3)
Let h = 504011 - 504011. Suppose -45/2*f**4 + 15/2*f**2 - 35/4*f**3 + h + 0*f - 25/4*f**5 = 0. What is f?
-3, -1, 0, 2/5
Factor 4255*g - 1500806*g**2 + 2*g**3 - 12*g**3 - 2170 + 1500981*g**2.
-5*(g - 31)*(g + 14)*(2*g - 1)
Let q(g) be the third derivative of -10*g**2 + 1/12*g**4 + 0*g - 6 + 1/4*g**3 - 1/420*g**7 - 1/60*g**6 - 1/60*g**5. Factor q(h).
-(h - 1)*(h + 1)**2*(h + 3)/2
Suppose -3*i = 5*x - 14272, -2*i = 7 - 15. Suppose -32*f = -19312 - 71632. Factor f*s - 1 - x*s - 2*s**2 - 11.
-2*(s + 2)*(s + 3)
Factor -61852/5*o + 0 - 216/5*o**3 + 2/5*o**4 + 1410*o**2.
2*o*(o - 47)**2*(o - 14)/5
Let c(q) = 2*q**2 + 15*q - 4. Let n be c(-8). Suppose 8*y - 2*o = n*y - 4, -y - o + 2 = 0. Let 3*m + y*m - 5*m + 7*m**2 = 0. What is m?
0, 2/7
Let w = 59780 - 59618. Suppose 121/2*j**5 - 2013/2*j**4 + 1908*j + 12505/2*j**2 + 6879/2*j**3 + w = 0. Calculate j.
-1, -2/11, 9
Let y = 6256 + -93838/15. Let f(t) be the third derivative of 2/15*t**5 + y*t**6 + 0*t**7 - 1/84*t**8 + 11*t**2 - 1/2*t**4 + 0 - 4/3*t**3 + 0*t. Factor f(h).
-4*(h - 2)*(h - 1)*(h + 1)**3
Suppose -5*n - 2*g - 28 = -9*n, -4*g - 41 = -5*n. Suppose -s + n = 2. Solve 4/3*t**5 + 4/3 + 4/3*t + 4/3*t**4 - 8/3*t**2 - 8/3*t**s = 0 for t.
-1, 1
Let x be ((-1587)/2)/(21/(-28)). Factor 1008*t - 22 - x*t - 15*t**2 - 18.
-5*(t + 2)*(3*t + 4)
Let i(r) = r**3 - r**2 + 1. Let n(m) = -3*m**4 - 6*m**3 - 3*m**2 + 12*m + 3. Suppose 3*h = 9*h + 6. Let c(o) = h*n(o) + 3*i(o). Factor c(k).
3*k*(k - 1)*(k + 2)**2
Suppose 4*a + 28 = -4*o, 7*a = 4*o + 9*a + 8. Determine z so that 0 - 2/13*z**o - 2/13*z**4 + 4/13*z**2 + 0*z = 0.
-2, 0, 1
Let z(l) be the first derivative of 1/4*l**3 + 6*l - 27/8*l**2 - 86. Factor z(d).
3*(d - 8)*(d - 1)/4
Let b(l) be the third derivative of l**5/60 + l**4/8 - 18*l**3 + 223*l**2. Factor b(q).
(q - 9)*(q + 12)
Let g(d) be the second derivative of -d**7/28 + d**6/20 + 57*d**5/40 - 25*d**4/8 - 33*d**3/2 + 54*d**2 - 1646*d. Let g(a) = 0. Calculate a.
-4, -2, 1, 3
Suppose 2*l = -l, 3*l - 54 = -3*i. Suppose -i*s + 6*s + 24 = 0. Factor -s*a**2 - 8*a - 3*a - a + 14*a.
-2*a*(a - 1)
Let x be ((-204)/(-170))/(7 - -18*(-6)/27). Determine y so that -6/5*y + x*y**2 - 8/5 = 0.
-1, 4
Let x = 2818/7 + -450873/1120. Let b(s) be the third derivative of 9/32*s**4 + 0 + 81/16*s**3 + 0*s + x*s**5 + 8*s**2. Solve b(k) = 0 for k.
-9
Suppose 5*l = -4*p - 155, 0 = 5*l - 6*l + 5*p - 2. Let o be (-65)/(-7) - l/3. Factor -32/7*u - o - 2/7*u**2.
-2*(u + 8)**2/7
