 - 4/5*k**5 - 4/5*k**4 + 8/5*k**v - 4/5 = 0. What is k?
-1, 1
Let h = -267225 + 267227. Factor 13/2 - 1/2*m**h + 6*m.
-(m - 13)*(m + 1)/2
Let 1007/2*p - 2/3*p**5 + 2593/6*p**2 + 36*p**4 - 3017/6*p**3 - 2809/6 = 0. What is p?
-1, 1, 53/2
Let y = 11208 + -11208. Let r be ((-78)/8 - -3)/(-3). Factor r*s**2 + 3/8*s + y.
3*s*(6*s + 1)/8
Let d(h) = 2*h**4 - 8*h**3 + 2*h**2 + 3*h - 6. Let q(t) = 4*t**3 - t + 2. Let g(j) = -d(j) - 3*q(j). Suppose g(z) = 0. Calculate z.
-1, 0
Let x = 52 + -36. Let a be 69/12 + 4/x. Suppose -10*f + 21*f**4 - 121*f**2 + a*f**3 + 4*f + 100*f**2 = 0. What is f?
-1, -2/7, 0, 1
Let r be 178/129 + 183975/(-3225) + 57. Solve -1/3*m**2 + 4 - r*m = 0 for m.
-6, 2
Let i(d) be the second derivative of -1/10*d**5 - 2 + d**4 + 1/3*d**3 - 6*d**2 - 44*d. Let i(s) = 0. What is s?
-1, 1, 6
What is l in 0*l - 12/11*l**2 + 0 + 52/11*l**4 + 14/11*l**5 + 26/11*l**3 = 0?
-3, -1, 0, 2/7
Let y(g) be the second derivative of -7*g**6/90 - 31*g**5/60 - g**4/2 + 158*g**3/3 - 2*g + 158. Let s(n) be the second derivative of y(n). Factor s(p).
-2*(p + 2)*(14*p + 3)
Let m be ((-2304)/(-567) - 4)*(-42)/(-9). Let i(n) be the third derivative of 0 + m*n**3 - 1/27*n**4 - 14*n**2 + 1/540*n**6 - 1/135*n**5 + 0*n. Factor i(v).
2*(v - 2)**2*(v + 2)/9
Suppose -105*z**4 - 5988*z + 1565*z**2 + 810*z**3 + 4271 + 408*z + 110*z**4 - 1071 = 0. Calculate z.
-160, -4, 1
Let u(w) be the second derivative of w**5/80 - 179*w**4/48 + 8099*w**3/24 - 7921*w**2/8 - 34*w - 3. Find f such that u(f) = 0.
1, 89
Let r(a) = -33*a**4 - 228*a**3 - 90*a**2 + 6*a - 6. Let u(h) = -65*h**4 - 456*h**3 - 181*h**2 + 11*h - 11. Let l(y) = 11*r(y) - 6*u(y). Factor l(p).
3*p**2*(p + 8)*(9*p + 4)
Let w(m) be the third derivative of m**2 + 0*m**3 + 0*m - 28/15*m**5 + 2/3*m**4 + 24 + 7/6*m**6 - 22/105*m**7. Suppose w(c) = 0. What is c?
0, 2/11, 1, 2
Let v(a) be the third derivative of -2/105*a**7 + 0*a - 1/12*a**4 - 2/3*a**3 + 2/15*a**5 + 21*a**2 + 0 + 1/30*a**6 - 1/168*a**8. Determine s so that v(s) = 0.
-2, -1, 1
Let t be (-50)/8*928/(-290). Let k = 13 - -6. Factor 0 + 5*u**2 + k*u + 9*u + t - 8*u.
5*(u + 2)**2
Let v(m) = 4*m**2 + 40*m - 34. Let f(j) = -3*j**2 - 2*j. Let d(o) = -4*f(o) - 2*v(o). Factor d(l).
4*(l - 17)*(l - 1)
Suppose -4*x + 8 = 0, -58*x = -5*m - 59*x - 6498. Let j = -6498/5 - m. Factor -6/5*z + j*z**2 + 4/5.
2*(z - 2)*(z - 1)/5
Let a(c) be the second derivative of -c**6/6 + 119*c**5/2 - 2335*c**4/4 + 1740*c**3 - 6*c - 605. Factor a(f).
-5*f*(f - 232)*(f - 3)**2
Factor -88*k**3 - 9*k**4 + 22*k**4 - 49*k**3 - 503*k**2 - 14*k**4 + 33*k**3 - 396 - 796*k.
-(k + 1)*(k + 2)**2*(k + 99)
Let d = 4762/10461 - 260/951. Factor 0 + d*x**3 + 18/11*x**2 + 16/11*x.
2*x*(x + 1)*(x + 8)/11
Suppose 45 = 7*a + 2*a. Let q be 4 + -8 - 11*(-4)/a. Find b, given that 12/5*b**5 - q*b**3 - 8/5*b**2 + 12/5*b + 4/5*b**4 + 4/5 = 0.
-1, -1/3, 1
Let h(m) be the first derivative of 24389*m**6/15 - 144652*m**5/25 + 2668*m**4/5 + 26848*m**3/3 + 6160*m**2 + 1600*m - 903. What is c in h(c) = 0?
-10/29, 2
Let f = -14591 - -14594. Factor 22/9*q**f - 2/9*q**4 - 6*q**2 - 16/9 + 50/9*q.
-2*(q - 8)*(q - 1)**3/9
Let u(d) = -245*d + 104. Let s be u(3). Let o = s + 1901/3. Factor -2/3*t**2 + 1/3*t**3 + o - 4/3*t.
(t - 2)**2*(t + 2)/3
Suppose -2/9*g**5 + 32 - 388/9*g**3 - 184/9*g**2 - 104/9*g**4 + 130/3*g = 0. Calculate g.
-48, -3, -1, 1
Let f(l) be the second derivative of l**6/45 - 230*l**5/3 + 330625*l**4/3 - 760437500*l**3/9 + 109312890625*l**2/3 + l - 2330. Factor f(a).
2*(a - 575)**4/3
Let p(f) be the third derivative of 1/24*f**4 + 85*f**2 - 1/360*f**5 + 0 + 0*f + 7/36*f**3. Suppose p(i) = 0. What is i?
-1, 7
Suppose -2*c - 3*n + 3083 - 3049 = 0, 2*c + 46 = 5*n. Suppose 0 - 3/8*x**3 + 3/8*x + 0*x**c = 0. What is x?
-1, 0, 1
Let u(b) = 10*b**3 - 46*b**2 + 10*b. Let o(w) = 5*w**3 - 22*w**2 + 5*w. Let r = 74 + -68. Let d(t) = r*u(t) - 13*o(t). Solve d(a) = 0.
0, 1
Let x(h) be the third derivative of -16*h**2 + 0 + 0*h**4 + 1/192*h**5 + 0*h - 1/2880*h**6 - 7/6*h**3. Let l(a) be the first derivative of x(a). Factor l(n).
-n*(n - 5)/8
Let s be (1054/31)/(-17)*(-3)/10. Let x(m) be the first derivative of -28 - s*m**2 - 1/15*m**3 + 7/5*m. Factor x(n).
-(n - 1)*(n + 7)/5
Let p(g) = -11*g**4 - 675*g**3 + 690*g**2 + 1360*g. Let q(m) = -10*m**4 - 675*m**3 + 690*m**2 + 1360*m. Let t(n) = -5*p(n) + 6*q(n). Factor t(k).
-5*k*(k - 2)*(k + 1)*(k + 136)
Let n = 230 + -228. Factor 45*v**n - 5*v + 21 + 25*v + 58*v.
3*(3*v + 1)*(5*v + 7)
Suppose -37*z + 2442 - 444 = 0. Let v be (-2)/(-6)*36/z. Find y such that -2/3*y - v*y**3 + 0 - 10/9*y**2 + 2/9*y**4 = 0.
-1, 0, 3
Suppose -4*j = -2*c + 2, 144*j - 139*j - 22 = -c. Let y(q) be the first derivative of -18/7*q + 10/21*q**j - 3/7*q**2 - 27 - 1/14*q**4. Factor y(k).
-2*(k - 3)**2*(k + 1)/7
Let u(v) be the first derivative of -2*v**5/45 + 2*v**4/3 - 58*v**3/27 - 14*v**2/3 - 1755. Determine p so that u(p) = 0.
-1, 0, 6, 7
Let j be 3 - 5*(-4)/(-10). Let h be 31 - 3 - (j - 7)/2. Suppose 2*c**2 + h*c + 9 - c**2 - 37*c = 0. What is c?
3
Let c(k) be the third derivative of 0 - 8/15*k**3 + 2/75*k**6 + 73*k**2 + 1/25*k**5 + 2/525*k**7 + 0*k - 2/15*k**4. Determine t, given that c(t) = 0.
-2, -1, 1
Suppose -5*j + 8 = 5*l - 7, 0 = j - l + 3. Let d = 3 + j. Factor 0 - w**5 - 5/3*w**4 + 0*w**2 - 2/3*w**d + 0*w.
-w**3*(w + 1)*(3*w + 2)/3
Let z(x) be the first derivative of -2226*x**3 - 2*x**2 + 6336. Factor z(y).
-2*y*(3339*y + 2)
Suppose z = 0, 3*z = 5*y + z. Let y*i - i - i + i**3 + 0*i + i**2 = 0. Calculate i.
-2, 0, 1
Let j be ((-10994)/(-1195))/(22/(-5))*(-5 + 3)*1. Factor j*o**2 + 0 + 0*o + 2/11*o**3.
2*o**2*(o + 23)/11
Let h(g) = -15*g**3 + 1484*g**2 + 102*g - 292. Let n be h(99). Let -1/4*c - 1/4*c**n + 1/2*c**4 - c**2 + 1/2*c**3 + 1/2 = 0. What is c?
-1, 1, 2
Factor 1925/6*l**4 + 8/3 + 1556/3*l**2 + 212/3*l + 625/12*l**5 + 2026/3*l**3.
(l + 2)**3*(25*l + 2)**2/12
Let v(f) be the first derivative of -f**3/3 + 1183*f**2/6 + 790*f/3 - 3641. Factor v(d).
-(d - 395)*(3*d + 2)/3
Suppose 0 + 42*k**2 + 1/2*k**3 + 83/2*k = 0. What is k?
-83, -1, 0
Let y(c) = -15*c**3 + 104*c**2 + 37*c. Let j(m) be the first derivative of -m**3/3 + m**2/2 - 24. Suppose 5 - 25 = 4*s. Let l(r) = s*j(r) - y(r). Factor l(x).
3*x*(x - 7)*(5*x + 2)
Factor -1616/3*s + 464/3 - 28/3*s**2.
-4*(s + 58)*(7*s - 2)/3
Let g = 663 + -659. Determine j, given that -45*j**2 + 8*j**4 + 37*j - 6 + 42*j**g - 58*j**3 + 14*j**5 + j**2 + 17*j**5 - 10*j**5 = 0.
-3, -1, 2/7, 1/3, 1
Let j be ((-1)/21)/(4/(-36)). Let x = -28747/7 + 4108. Suppose -6/7*q + x*q**2 - 9/7*q**4 + 3/7*q**3 + 0 + j*q**5 = 0. Calculate q.
-1, 0, 1, 2
Let t(b) = b**3 + 20*b**2 - 70*b - 2018. Let r be t(-14). Solve -64 - 190*v - r*v**2 + 9/2*v**3 = 0 for v.
-2/3, 32
Let i(j) be the second derivative of -1/36*j**4 + 1/3*j**3 - 3/2*j**2 + 2 + 5*j. Find y such that i(y) = 0.
3
Let a(d) = 12*d**3 + 14*d**2 - 70*d - 52. Let i(t) = t**3 + 2*t**2 - 2*t - 1. Let s(h) = 2*a(h) - 20*i(h). Factor s(u).
4*(u - 7)*(u + 1)*(u + 3)
Factor 30*p**3 - 52*p**4 - 71*p**2 + 123*p**4 - 69*p**4 + 255*p**2 - 216*p**3.
2*p**2*(p - 92)*(p - 1)
Let r(s) be the third derivative of s**6/24 + s**5/12 - 35*s**4/3 + 120*s**3 - 735*s**2 - s. Let r(u) = 0. Calculate u.
-9, 4
Let u(q) be the second derivative of -2*q**7/21 - 6*q**6 - 482*q**5/5 + 574*q**4/3 + 322*q**3 - 1058*q**2 + 3*q - 1675. Find k such that u(k) = 0.
-23, -1, 1
Let o(t) be the third derivative of -t**7/630 - 7*t**6/180 - 13*t**5/180 - t**2 + 26. Solve o(n) = 0.
-13, -1, 0
Let d(g) = -246*g**2 - 48246*g - 48225. Let y(q) = 11*q**2 + 2193*q + 2192. Let p(w) = -2*d(w) - 45*y(w). Solve p(m) = 0.
-730, -1
Let x(m) = -4*m**3 - 104*m**2 - 561*m - 255. Let r(h) = -4*h**3 - 102*h**2 - 562*h - 256. Let q(b) = 5*r(b) - 4*x(b). Find d, given that q(d) = 0.
-13, -10, -1/2
Let o(y) be the second derivative of 142*y - 1/170*y**5 + 0 + 0*y**2 + 1/102*y**4 + 0*y**3. Factor o(w).
-2*w**2*(w - 1)/17
Suppose -85*u**3 - 42*u**3 + 21*u**4 - 47*u**3 + 231*u**2 + 392*u + 35*u**3 - u**5 = 0. What is u?
-1, 0, 7, 8
Let o(g) be the third derivative of 1/40*g**6 + 0 + 0*g**3 - 1/112*g**8 + 0*g + 61*g**2 + 0*g**4 - 1/35*g**7 + 1/10*g**5. Find x, given that o(x) = 0.
-2, -1, 0, 1
Factor 0 - 3/5*u**3 + 69/5*u**2 - 66/5*u.
-3*u*(u - 22)*(u - 1)/5
Let l = 79108/23727 + 