10230)*(-33)/(-6). Suppose -8 - a*k**2 + 38/3*k = 0. What is k?
4/5, 3
Suppose 7*m = -24 + 38. Suppose r - 7 = -3*q, 4 = -4*r + m*r. Factor 0*g**q + 4/7*g**2 + 0 - 2/7*g**5 - 4/7*g**4 + 2/7*g.
-2*g*(g - 1)*(g + 1)**3/7
Suppose -7*c = -12*c + 15. What is h in 3*h**3 + 2*h + 8*h**c + 4*h**2 - 9*h**3 = 0?
-1, 0
Let k be 1*((-4)/(-6) + -47 + (-1325)/(-15)). Find h, given that 2058*h + 2/7*h**3 + k*h**2 + 33614 = 0.
-49
Find u such that 40/3 + 10*u**4 - 118/3*u**3 - 48*u + 194/3*u**2 - 2/3*u**5 = 0.
1, 2, 10
Let 3/8*y**3 + 3316041/2*y + 670945629 + 5463/4*y**2 = 0. What is y?
-1214
Let i(t) be the second derivative of 5*t**4/12 - 55*t**3/3 + 100*t**2 - 3376*t. Solve i(r) = 0.
2, 20
Let r(j) = j**2 - 13*j - 2. Let y be r(12). Let t be -2*y/21 + -1. Factor -b**2 - t*b**3 - b - 1/3.
-(b + 1)**3/3
Factor 2/15*r**3 + 0 + 276/5*r + 22/3*r**2.
2*r*(r + 9)*(r + 46)/15
Suppose 2*q + 1 = j, -q = 2*q + 2*j - 16. Let m = 12 - 10. Factor -3*x**2 + 2*x**q + 6*x + m*x**2.
x*(x + 6)
Let s = -33038 + 33040. Let m be ((-136)/51)/((-14)/6). Factor m - 2/7*o**s - 8/7*o + 2/7*o**3.
2*(o - 2)*(o - 1)*(o + 2)/7
Let q(i) be the second derivative of -i**6/20 - 153*i**5/20 - 75*i**4/2 - 149*i**3/2 - 297*i**2/4 + 848*i. Determine b so that q(b) = 0.
-99, -1
Factor k**3 - 42592000000 + 58080000*k + 43*k**3 - 26400*k**2 + 44*k**3 - 84*k**3.
4*(k - 2200)**3
Let g(i) be the first derivative of i**5/90 - i**4/18 - i**3/27 + i**2/3 + 22*i + 159. Let t(y) be the first derivative of g(y). Let t(h) = 0. Calculate h.
-1, 1, 3
Let v be -16 - -5 - 3 - 620/(-40). Factor -2*l**3 + v*l**2 - 1/2*l**4 + 7*l + 4.
-(l - 2)*(l + 1)**2*(l + 4)/2
Let h(m) be the second derivative of m**4/42 - 7136*m**3/21 + 12730624*m**2/7 - 10379*m. Suppose h(k) = 0. What is k?
3568
Let f(j) be the first derivative of -35086005*j**4/4 + 11677675*j**3 + 26480*j**2 + 20*j + 9079. Suppose f(i) = 0. What is i?
-2/2649, 1
Let q(a) be the second derivative of 1/42*a**7 - 4/3*a**4 - 3 + 2/7*a**3 - 9/35*a**6 + 8/7*a**2 + 131/140*a**5 + 4*a. Find g, given that q(g) = 0.
-2/7, 1, 2, 4
Let m = -528 + 530. Factor 9*h**2 + 11*h**3 + h**4 - m*h + 0*h + 2*h + 4*h - 5*h**3.
h*(h + 1)**2*(h + 4)
Let j(t) = 2*t**3 - 14*t**2 + 15*t - 8. Let n be j(6). Factor 12*s**4 - 69*s**3 - n - 346*s + 258*s - 222*s**2 - 43*s**3 + 20*s**4.
2*(s - 5)*(s + 1)*(4*s + 1)**2
Let r(x) = -x**3 + 21*x**2 - 21*x - 23. Let p be r(20). Let f = p - -45. Factor y**3 - 15*y - 6*y**3 - 15*y**f + 3 - 8.
-5*(y + 1)**3
Let r(h) be the first derivative of -h**2 - 5*h - 37. Let o be r(-20). Solve o*j**3 + 5*j**2 - 5*j**5 + 2*j**5 + 8*j**5 - 40*j - 25*j**4 + 20 = 0 for j.
-1, 1, 2
Suppose q - 5 = 0, -h + 19 = 5*q - 8. Factor -108*o - 1 + 1711*o**h - 1534*o**2 + 13 + 117*o**3.
3*(o + 2)*(3*o - 1)*(13*o - 2)
Let a(r) be the second derivative of 363/2*r**4 + 108*r**2 + 0 - 9*r - 1331/20*r**5 - 198*r**3. Factor a(d).
-(11*d - 6)**3
Let l = -124467836 + 154215639512/1239. Let g = 1/2478 - l. Suppose -24*u + 3/2*u**5 - 21/2*u**4 - g*u**2 + 45/2*u**3 + 18 = 0. Calculate u.
-1, 1, 2, 3
Let l(b) be the second derivative of 1/30*b**5 + 9*b + 5/3*b**3 + 0*b**2 - 4/9*b**4 - 1. Suppose l(p) = 0. Calculate p.
0, 3, 5
What is k in 1/3*k**4 - 3*k**2 - 8/3*k**3 + 0*k + 0 = 0?
-1, 0, 9
Let o = -1394 + 1367. Let d be (238/595)/((-2)/o). Factor 18/5*m + d + 3/5*m**2.
3*(m + 3)**2/5
Let k(l) be the third derivative of -2/105*l**5 + 0 + 0*l - 1/28*l**4 - 18*l**2 + 1/21*l**3. Factor k(q).
-2*(q + 1)*(4*q - 1)/7
Determine i so that 0*i**3 + 1/2*i**4 - 9*i + 20 - 23/2*i**2 = 0.
-4, -2, 1, 5
Let o(h) be the second derivative of -h**4/24 + 179*h**3/3 - 32041*h**2 - 622*h + 1. Factor o(v).
-(v - 358)**2/2
Let 1056/5*w**2 - 174/5*w**4 + 64*w + 0 - 2*w**5 + 572/5*w**3 = 0. Calculate w.
-20, -1, -2/5, 0, 4
Let c be (204/(-18) + 2)*(-1668)/7784. Factor 12/5 + 2*v - 2/5*v**c.
-2*(v - 6)*(v + 1)/5
What is p in 14*p + 14*p**2 + 6*p**3 + p**3 - 16 + 2*p**4 + 4*p**3 + p**3 - 26*p = 0?
-4, -2, -1, 1
Factor 1793/6*b**2 + 299/2*b + 0 + 895/6*b**3 - 1/6*b**4.
-b*(b - 897)*(b + 1)**2/6
Solve 1/4*f**3 + 123/4 + 45/4*f**2 + 167/4*f = 0.
-41, -3, -1
Let c(s) = 26*s**2 - 60*s - 44. Let f(r) = 25*r**2 - 51*r - 43. Let l(x) = -3*c(x) + 4*f(x). Find h such that l(h) = 0.
-10/11, 2
Suppose 0 = 13*h - 18*h + 10. Factor 39*y**h - 44*y**2 - 2*y**3 + y**3 - 4*y.
-y*(y + 1)*(y + 4)
Let i be -238*(-24)/2940 - (-6)/105. Let s(j) be the third derivative of i*j**3 - 1/20*j**5 + 0*j - 3/8*j**4 + 0 + 36*j**2. Factor s(c).
-3*(c - 1)*(c + 4)
Let y(h) be the second derivative of h**7/42 - 9*h**6/5 + 971*h**5/20 - 963*h**4/2 - 162*h**3 + 2916*h**2 - 701*h. Factor y(n).
(n - 18)**3*(n - 1)*(n + 1)
Let w = -32829 - -163288/5. Let h = 173 + w. Suppose 2/5*y**4 + h*y**3 + 2 - 8/5*y - 12/5*y**2 = 0. What is y?
-5, -1, 1
Suppose 65*y = 56 - 641. Let u be ((-2)/9*6)/(y + -3). Find s such that -2401/9 - 98/3*s**2 - 28/9*s**3 - 1372/9*s - u*s**4 = 0.
-7
Factor 0 + 0*u - 52*u**2 - 1/2*u**4 - 105/2*u**3.
-u**2*(u + 1)*(u + 104)/2
Let i = -39436/3 - -157879/12. Factor 35/4*m**2 + i + 75/4*m + 5/4*m**3.
5*(m + 1)*(m + 3)**2/4
Factor 0 - 12/11*s**3 + 24/11*s**2 + 2/11*s**4 - 16/11*s.
2*s*(s - 2)**3/11
Let n(l) be the first derivative of -l**6/21 - 52*l**5/35 - 225*l**4/14 - 432*l**3/7 + 707. Factor n(h).
-2*h**2*(h + 8)*(h + 9)**2/7
Let v(d) = -12*d**3 + 12536*d**2 - 3269760*d + 6489616. Let x(g) = 4*g**3 - 4178*g**2 + 1089920*g - 2163205. Let f(s) = -5*v(s) - 16*x(s). Factor f(n).
-4*(n - 520)**2*(n - 2)
Let t(r) be the third derivative of -2*r**7/105 - 17*r**6/15 - 68*r**5/3 - 125*r**4 + 750*r**3 + 570*r**2 + 6. Factor t(z).
-4*(z - 1)*(z + 5)*(z + 15)**2
Let h(o) be the second derivative of -2*o**6/15 - 246*o**5/5 + 248*o**4/3 + 164*o**3 - 494*o**2 + 7*o + 289. Find d such that h(d) = 0.
-247, -1, 1
Let y = 80 - 66. Suppose -y = -3*j - 2. Let 53*z**2 + 1106 + 24*z - z**2 + 32*z**3 + j*z**4 - 1106 = 0. What is z?
-6, -1, 0
Let u be (435/(-5))/(-3) + -26. Factor -3/2*l + 1/2*l**5 + 0 + l**u - 2*l**2 + 2*l**4.
l*(l - 1)*(l + 1)**2*(l + 3)/2
Let i(s) be the first derivative of 0*s + 2312/21*s**3 + 91 - 34/7*s**4 + 0*s**2 + 2/35*s**5. Suppose i(x) = 0. Calculate x.
0, 34
Solve -28/3*k**4 - 200/3*k**2 + 2/3*k**5 - 230/3*k**3 + 0 + 0*k = 0.
-5, -1, 0, 20
Let a(f) = -f**5 + 2*f**3 - f - 1. Let k(j) = 35*j**5 + 185*j**4 + 290*j**3 + 45*j**2 + 5*j + 5. Let l(w) = 5*a(w) + k(w). Determine p, given that l(p) = 0.
-3, -1/6, 0
Let z = -26 + 43. Let x be (-48)/(-27)*z/68. Determine l so that -2/9*l**5 + x*l - 2/3*l**2 + 0 - 2/9*l**3 + 2/3*l**4 = 0.
-1, 0, 1, 2
Suppose 5*z + 29*t = 30*t + 37, -5*t = -4*z + 59. Determine h so that -z*h - 15/2*h**2 - 3/2*h**3 + 0 = 0.
-4, -1, 0
Let l(w) be the second derivative of w**6/30 + 23*w**5/60 + 5*w**4/4 - 3*w**3/2 + 35*w**2/2 + 111*w. Let v(y) be the first derivative of l(y). Factor v(h).
(h + 3)**2*(4*h - 1)
Let o(y) be the second derivative of -y**4/18 + 197*y**3/9 - 196*y**2/3 - 1611*y. Suppose o(b) = 0. Calculate b.
1, 196
Let v(a) be the second derivative of -a**4/36 + 569*a**3/9 - 323761*a**2/6 - 790*a. Factor v(w).
-(w - 569)**2/3
Let n = 626313/32615 - 21/6523. Factor 4/5*d**2 - 56/5*d + 4/5*d**3 - n.
4*(d - 4)*(d + 2)*(d + 3)/5
Let y(k) = k + 1. Let l be y(-6). Let z be (27/l)/(-1*2/90). Factor z*s**3 + 43904*s - 19*s**3 - 4*s**4 - 3000*s**2 - 153664 - 1704*s**2.
-4*(s - 14)**4
Find y such that 2/7*y**3 - 332/7*y**2 + 668/7 - 338/7*y = 0.
-2, 1, 167
Let z(c) be the third derivative of c**7/210 + 11*c**6/120 + 3*c**5/10 - c**2 - 7. Let z(f) = 0. What is f?
-9, -2, 0
Let q(z) = z**3 + z**2 + z - 1. Let v(s) = s**4 - 2*s**3 - 2*s**2 + 12*s - 7. Let o = 193 - 190. Let k(d) = o*v(d) - 3*q(d). Let k(x) = 0. Calculate x.
-2, 1, 3
Factor 17 - 15/2*k - 1/2*k**2.
-(k - 2)*(k + 17)/2
Let h = 148410/111307 - 2/333921. Factor -h*b**3 - 2/3 + 0*b**2 + 2/3*b**4 + 4/3*b.
2*(b - 1)**3*(b + 1)/3
Let c = 1876857/1501492 + 2/375373. Let -c*d**3 - 5/4*d**4 + 15*d**2 - 5*d - 20 = 0. Calculate d.
-4, -1, 2
Let r = -181 + 184. Factor -283*k + 0*k**2 - 4*k**2 + 2*k**r + 283*k.
2*k**2*(k - 2)
Factor 245/2*m - 5/4*m**2 + 495/4.
-5*(m - 99)*(m + 1)/4
Solve -67 + 661*n**2 + 6*n**4 + 9*n**4 + 552*n - 113 - 832*n**2 - 216*n**3 = 0.
-2, 2/5, 1, 15
Let k(s) = 30 + 113*s**2 + 17*s + s**3 - 67*s**2 - 58*s**2. Let a be k(10). Determin