s d in 4/3*d**p + 36*d - 112/3 = 0?
-28, 1
Let u(w) be the second derivative of -w**6/20 - 63*w**5/40 + 12*w**4 - 25*w**3 - 2*w - 1012. Solve u(b) = 0 for b.
-25, 0, 2
Let v(l) = -16*l**3 + 20*l**2 + 68*l - 280. Let s(t) = -19*t**3 + 20*t**2 + 67*t - 278. Let h(j) = 4*s(j) - 5*v(j). Factor h(k).
4*(k - 6)*(k - 3)*(k + 4)
Let w(l) = 2*l**2 + 30*l - 33. Let g be w(-19). Suppose -8 = 115*q - g*q. Factor 1/4*j**3 + 3/4*j**q - 1/2 - 1/4*j**4 - 1/4*j.
-(j - 2)*(j - 1)*(j + 1)**2/4
Factor 9/5*m + 8/5*m**2 + 0 - 1/5*m**3.
-m*(m - 9)*(m + 1)/5
Let i(b) be the second derivative of -7*b + 0 - 1/72*b**4 + 0*b**3 - 4*b**2 - 1/180*b**5. Let w(r) be the first derivative of i(r). Suppose w(g) = 0. What is g?
-1, 0
Let t = -2513 - -2517. Let f(h) be the second derivative of 0*h**2 + 29*h + 2/5*h**3 + 1/30*h**t - 1/50*h**5 + 0. Factor f(r).
-2*r*(r - 3)*(r + 2)/5
Let a(y) = y**2 - 7. Let m be a(3). Suppose -13 - 2*s**3 - 20*s**m - 131 - 24*s + 40*s**2 = 0. What is s?
-2, 6
Let s = -13190 - -26381/2. Factor 1 - 1/2*x**2 - s*x.
-(x - 1)*(x + 2)/2
Let s(y) = -17*y + 13. Let g be s(1). Let i be -14 + 35 + (g + 1 - -3). Let 147/2 + i*x + 3/2*x**2 = 0. Calculate x.
-7
Let y(i) = -7*i**2 - 2*i + 12. Let t(j) = -29*j + 169. Let f be t(6). Let q(d) = 15*d**2 + 5*d - 20. Let z(v) = f*y(v) - 2*q(v). Find l such that z(l) = 0.
-2, 2
Find k, given that 10*k**4 - 975*k**3 - 1005789*k + 1005789*k - 5*k**4 = 0.
0, 195
Let r be 8/88 - 14*(-2)/176. Suppose 443*c = 463*c - 60. Solve -3/4 + 1/4*z**c - 5/4*z - r*z**2 = 0 for z.
-1, 3
Let m(a) = -a**3 - 46*a**2 - 87*a + 50. Let u be m(-44). Suppose l - 4*h = -9, -3*h = -0*l - l - u. Factor -3/4*q**2 + q + 1 - q**l - 1/4*q**4.
-(q - 1)*(q + 1)*(q + 2)**2/4
Let l be 9/15 - 0 - 3686/7760. Let w(b) be the second derivative of l*b**4 + 1/60*b**6 + 0*b**3 + 0*b**2 - 1/10*b**5 + 0 + 24*b. What is s in w(s) = 0?
0, 1, 3
Let a be 0/(((-438)/(-2847))/((-2)/(-13))). Factor -5*b**2 + 1/4*b**3 + a + 25*b.
b*(b - 10)**2/4
Let l(c) be the third derivative of -5*c**8/448 + 11*c**7/84 + 53*c**6/48 + 13*c**5/4 + 485*c**4/96 + 55*c**3/12 - 366*c**2. Find s such that l(s) = 0.
-1, -2/3, 11
Let n(t) = -46*t**2 + 826*t - 846. Let c(l) = -8*l**2 - 3*l. Let u(i) = -6*c(i) + n(i). Determine w, given that u(w) = 0.
-423, 1
Let n(p) = -36*p**3 - 4578*p**2 + 9357*p - 4712. Let m(o) = 7*o**3 + 916*o**2 - 1871*o + 942. Let t(x) = -31*m(x) - 6*n(x). Factor t(w).
-(w - 1)**2*(w + 930)
Determine g, given that -308 - 75*g**2 + 2*g**3 + 35520*g - 73*g**2 - 35978*g = 0.
-2, -1, 77
Let q = -127 - -129. Factor 8 + q + 15 - 25*i**3 + 16*i**4 + 321*i**2 - 190*i + 177*i**3.
(i + 5)**2*(4*i - 1)**2
Let m(x) = 1. Let p(n) = -8*n**2 + 7*n - 11. Let y(w) = 11*w**2 - 8*w + 12. Let f(j) = 4*p(j) + 3*y(j). Let q(d) = -f(d) + 4*m(d). Factor q(k).
-(k - 2)*(k + 6)
Let -156*g + 992 + 12494*g**2 - 6257*g**2 - 6233*g**2 = 0. Calculate g.
8, 31
Let u = 38 - 98/3. Let l be (-20)/(-24)*((-392)/(-245))/((-4)/(-10)). Solve -u*c + l*c**2 - 8/3 = 0.
-2/5, 2
Let c(w) = 3*w**4 + 21*w**3 - 21*w**2 - 893*w - 1620. Let h(p) = 21*p**4 + 138*p**3 - 144*p**2 - 6252*p - 11340. Let s(u) = -15*c(u) + 2*h(u). Factor s(x).
-3*(x - 5)*(x + 3)**2*(x + 12)
Let p(v) be the third derivative of -1/8*v**4 + 0*v**3 + 3/160*v**6 - 20*v**2 + 0*v**7 + 0 - 1/1344*v**8 + 0*v - 1/60*v**5. Determine c, given that p(c) = 0.
-3, -1, 0, 2
Let y = -214514/319 - -24774/29. Let u = 1204/11 - 604/11. Determine f so that -60/11*f**2 - u*f - y - 2/11*f**3 = 0.
-10
Let m = 103/3 + -34. Let r be 110/(-3) - (-30155)/815. Find z, given that 0 + r*z**2 - m*z = 0.
0, 1
Suppose -4*l + 3*g = -118, -158*g + 156*g + 4 = 0. Suppose -l*s + 32*s - 2 = 0. Solve -2/11*x**4 + 6/11*x**3 - 6/11*x + 2/11*x**s + 0 = 0 for x.
-1, 0, 1, 3
Let m(j) = 5*j + 2. Let v(a) = -a**2 - 88*a + 16. Let l(h) = -40*m(h) + 5*v(h). Factor l(x).
-5*x*(x + 128)
Let z be 6*(-774)/7128 + ((-33)/(-18) - 1). Factor z*d - 6/11*d**2 + 0 - 8/11*d**3.
-2*d*(d + 1)*(4*d - 1)/11
Let t(c) be the third derivative of -c**6/1440 + c**4/24 - 8*c**3/3 + 52*c**2. Let i(s) be the first derivative of t(s). Let i(b) = 0. What is b?
-2, 2
Suppose 5*n - 24 = -n - 6*n. Factor 0 + 24/5*t - 3/5*t**n.
-3*t*(t - 8)/5
Let q(s) = s**3 - 14*s**2 - s - 24. Let c be q(15). Factor g**3 + 187*g - 2*g**3 - c*g.
-g*(g - 1)*(g + 1)
Suppose 0*u - 4*u = -308. Let p = -63 + u. Let -22*s**3 + 10*s**2 + 25*s**3 - p*s - 4*s**2 - 18 - s = 0. What is s?
-3, -1, 2
Let c(o) = 5 + 8*o - 7*o + 0*o**3 + 9*o**3. Let v(y) = 14*y**3 + 2*y + 8. Let k(g) = 8*c(g) - 5*v(g). Determine s so that k(s) = 0.
-1, 0, 1
Let c(m) be the first derivative of 5/3*m**3 + 0*m**4 + 25 + 0*m - m**5 + 0*m**2. Factor c(l).
-5*l**2*(l - 1)*(l + 1)
Factor -145*w + 83*w**2 - 10/3*w**3 - 46/3.
-(w - 23)*(w - 2)*(10*w + 1)/3
Let m(y) be the third derivative of -y**5/30 - 19*y**4/84 + 40*y**3/7 - 670*y**2 - 2. Find x, given that m(x) = 0.
-40/7, 3
Let y(p) be the third derivative of p**5/45 + 1358*p**4/9 + 3688328*p**3/9 + 2*p**2 + 73*p - 4. Suppose y(r) = 0. Calculate r.
-1358
Let -2475/2 - 9*c**3 + 1185*c + 62*c**2 - 1/2*c**4 = 0. Calculate c.
-15, 1, 11
Let x = 47170 + -47167. Factor -2/3*l**x + 1/3*l**4 + 0*l**2 + 2/3*l - 1/3.
(l - 1)**3*(l + 1)/3
Let g(r) be the first derivative of r**7/525 - r**6/300 - r**5/150 + r**4/60 - 3*r**2/2 - 62. Let m(a) be the second derivative of g(a). Factor m(i).
2*i*(i - 1)**2*(i + 1)/5
Let t(g) be the second derivative of -10/3*g**4 - 45*g**2 - 1/4*g**5 + 15 - 35/2*g**3 + 3*g. Factor t(s).
-5*(s + 2)*(s + 3)**2
Let w(a) = -6*a**3 - 51*a**2 - 135*a + 42. Let d(j) = -5*j**3 - 42*j**2 - 134*j + 42. Let h(b) = -6*d(b) + 7*w(b). Find n, given that h(n) = 0.
-7, -2, 1/4
Factor -28 + 86/3*n - 2/3*n**2.
-2*(n - 42)*(n - 1)/3
Let b(y) be the first derivative of -y**6/11 + 14*y**5/55 + 31*y**4/22 - 94*y**3/33 + 12*y**2/11 + 525. Solve b(l) = 0.
-3, 0, 1/3, 1, 4
Factor -20/13 + 2/13*q**2 + 6/13*q.
2*(q - 2)*(q + 5)/13
Factor 1089*p - 13468050 + 3595*p - 2*p**2 + 1649*p + 4047*p.
-2*(p - 2595)**2
Let y(k) be the third derivative of -k**5/20 + 2521*k**4/8 + 1261*k**3 + 2*k**2 + 90*k. Factor y(w).
-3*(w - 2522)*(w + 1)
Determine u so that 6520*u**4 - 6489*u**4 + 254*u**3 + u**5 - 120 + 194*u**2 - 203 - 255*u + 98 = 0.
-15, -1, 1
Determine g, given that 53*g**3 + 3*g**4 - 32 - 49*g**2 - 15*g**3 + 52*g + 168*g**2 = 0.
-8, -4, -1, 1/3
Let k = 119472 + -119469. Find j, given that -1/3*j**5 + 5*j**k - 2*j**4 + 0 - 8/3*j**2 + 0*j = 0.
-8, 0, 1
Suppose 4*q - r = 4*r - 39, r = 2*q + 15. Let m be (32/q)/8*36/(-42). Solve 2/7 + m*g + 2/7*g**2 = 0 for g.
-1
Let m(k) be the first derivative of 2*k**3/15 + 1018*k**2/5 + 518162*k/5 - 2496. What is p in m(p) = 0?
-509
Suppose -2*y - 30 = -3*u, -3*u + 2*y = -2*y - 24. Suppose u*m = 32*m - 60. Find j, given that 2/3 - 8/3*j**m + 2/3*j**4 + 4*j**2 - 8/3*j = 0.
1
Factor 438*d - 59*d**2 + 347*d - 376 - 4*d**3 - 37*d - 124*d**2 - 185*d**2.
-4*(d - 1)**2*(d + 94)
Let p be -165*(-124)/2046 + 31/2. Factor 0 + p*y**4 - 99/2*y**3 + 45/2*y**2 + 3/2*y.
3*y*(y - 1)**2*(17*y + 1)/2
Suppose -3*a + 3 = -3. Factor 651*l**4 - 388*l**2 - 256 + 70*l**3 + 576*l - 655*l**4 + a*l**3.
-4*(l - 8)**2*(l - 1)**2
Let y(w) be the first derivative of -3*w**4/4 + 34*w**3 - 789*w**2/2 + 690*w - 1013. Factor y(o).
-3*(o - 23)*(o - 10)*(o - 1)
Suppose 0 = -17*s - 68*s. Let v(r) be the third derivative of s*r**3 - 1/8*r**4 + 8*r**2 + 0 + 1/60*r**5 + 0*r. Factor v(d).
d*(d - 3)
Let l be (-2)/11 - (-169776)/(-594). Let t = l - -286. Determine h, given that -h**2 + 1/5*h**3 + t + 0*h = 0.
0, 5
Let b(w) = 20*w**3 + 40*w**2 + 55*w - 65. Let i(h) = h**3 - h**2 + 2*h. Let t(g) = g - 11. Let v be t(12). Let y(r) = v*b(r) - 25*i(r). Solve y(o) = 0.
-1, 1, 13
Solve -72 + 213*t**2 - 66*t**2 + 42*t - 150*t**2 = 0.
2, 12
Let n(r) be the second derivative of -5*r**3 + 25/12*r**4 + 1/2*r**5 + 0*r**2 + 0 - 72*r - 1/6*r**6. Suppose n(p) = 0. Calculate p.
-2, 0, 1, 3
Factor -3232 + 1698 - 62*b + 1750 + 7*b**2 - 5*b**2.
2*(b - 27)*(b - 4)
Factor 0 + 488/3*x**2 - 8/3*x - 7442/3*x**3.
-2*x*(61*x - 2)**2/3
Let z = 331 + -223. Determine k so that 60 + 48 + 114*k - z - 3*k**2 = 0.
0, 38
Let x be (-2 - (-138)/64)/((-58205)/(-139692)). Factor 9/4*m**4 - 6*m**2 - 12 + 18*m - x*m**5 - 3*m**3.
-3*(m - 2)**4*(m + 2)/8
Determine f so that 2/17*f*