11*m - 2/33*m**3 + 59 + 5/11*m**2. Suppose p(o) = 0. What is o?
-2, 7
Suppose 28784*u**3 + 16366*u**4 + 14525*u + 662*u**5 + 24*u**5 + 352 + 16816*u**2 - 10461*u = 0. What is u?
-22, -1, -2/7
Let j = -90241 + 1353653/15. Suppose 0 - 2/15*v**2 - j*v = 0. What is v?
-19, 0
Let l(f) be the second derivative of 0*f**2 - 1/3*f**3 - 79*f - 5/33*f**4 + 0 + 1/110*f**5. Factor l(a).
2*a*(a - 11)*(a + 1)/11
Let o be ((-195)/1170*27/(-6))/((-2)/(-6)). Let -o*w**4 + 27/2*w + 3/4*w**5 - 57/4*w**3 + 9/4*w**2 + 0 = 0. What is w?
-3, -1, 0, 1, 6
Let j(z) be the second derivative of 11*z - 1 - 3*z**3 + 1/12*z**4 + 81/2*z**2. Factor j(m).
(m - 9)**2
Let j(k) = -k**3 + 12*k**2 - 35*k + 10. Let l be j(4). Let h be 4/l*(-113)/1017. Factor 2/3*y + h*y**3 + 0 - 8/9*y**2.
2*y*(y - 3)*(y - 1)/9
Factor 3101*u**2 + 6*u**3 - 1799752*u - 4*u**3 + 1799752*u - 355*u**2.
2*u**2*(u + 1373)
Let p be 106/14 + ((-150)/125)/(28/(-10)). Suppose 188 = -l + 5*l. Determine v so that l*v - 6*v**2 - v**4 + p*v**3 - 55*v - v**4 + 8 = 0.
-1, 1, 2
Let p(q) be the second derivative of q**7/252 - 11*q**6/18 - 57*q**5/10 - 691*q**4/36 - 1157*q**3/36 - 29*q**2 - 2*q - 1503. Factor p(w).
(w - 116)*(w + 1)**3*(w + 3)/6
Suppose 0 = -5*a + 18*a - 3510. Let i = 270 - a. Determine l so that i + 6/7*l - 12/7*l**2 - 6/7*l**5 + 0*l**3 + 12/7*l**4 = 0.
-1, 0, 1
Determine b, given that -57*b + 577*b + 188*b - 4*b**4 - 484*b**2 + 268*b**3 + 1207 - 768*b**2 + 1025 = 0.
-1, 3, 62
Let w(o) be the second derivative of 0 - 1/15*o**6 - 1/14*o**5 + 5/21*o**3 + 3/14*o**4 - 3*o - 2/7*o**2. Find x, given that w(x) = 0.
-1, 2/7, 1
Factor -23*f**2 - 17*f**2 + 1965*f - 25*f**2 + 95*f**2 + 9700 - 25*f**2.
5*(f + 5)*(f + 388)
Suppose 7 = 7*d - 35. Suppose -d*z + 7*z - 1 = 0. Factor s**3 - z + 2*s**5 + 3*s**3 + 6*s**4 - 1 - 6*s - 4*s**2.
2*(s - 1)*(s + 1)**4
Let u be ((-175)/245)/(1/(-14)*2). Let j(g) be the third derivative of -1/10*g**6 + 3*g**2 + 1/15*g**u - 2/3*g**3 + 0 + 1/2*g**4 + 0*g. Factor j(p).
-4*(p - 1)*(p + 1)*(3*p - 1)
Let o = -13763 - -13764. Let b(w) be the first derivative of 0*w**4 + 0*w - o + 0*w**2 + 8/27*w**3 - 1/27*w**6 - 2/15*w**5. Factor b(h).
-2*h**2*(h - 1)*(h + 2)**2/9
Let g(z) be the second derivative of -14/9*z**3 + 0 - 97*z + 5/9*z**4 - 4*z**2. Find k such that g(k) = 0.
-3/5, 2
Factor -5*w**3 - 25871 - 369*w**2 + 226*w**2 + 398*w**2 - 72389.
-5*(w - 34)**2*(w + 17)
Let z be 1/(-2)*(-27556)/(-249). Let c = z + 56. Find m, given that -c - 2*m**2 + 2/3*m**3 + 2*m = 0.
1
Let b(v) be the second derivative of -5/3*v**4 + 0 + 45*v**2 - 1/4*v**5 + 81*v + 5/2*v**3. Factor b(t).
-5*(t - 2)*(t + 3)**2
Let r = -573710 + 573713. Factor 3*q**2 - 9/2*q + 3/2*q**r + 0.
3*q*(q - 1)*(q + 3)/2
Let b be (2/(-2))/((-2)/10). Suppose 2*q - 12 = 4*f - 2*q, 0 = -f + b*q - 23. Determine y so that -17*y + 9*y**3 + 0 + 9*y + 4 - 3*y**f = 0.
-1, 2/3
Let n be ((-2)/(-6))/(-25*(-2)/4). Let l(u) be the first derivative of 0*u + 0*u**3 + 1/30*u**4 + 0*u**2 - 20 + n*u**5. Factor l(c).
2*c**3*(c + 1)/15
Suppose 3*o + m = 2812, -6*o + 3764 = -2*o + 5*m. Suppose -1747 = -5*n - 3*d, 4*d - o = -3*n + 121. Factor n + q**5 - 2*q**4 + q**4 - 347.
q**4*(q - 1)
Let f = 8352 + -8350. Let x(g) be the third derivative of 1/36*g**4 - 1/315*g**7 + 0*g**3 + 0 - 1/30*g**5 + 0*g - 12*g**f + 1/60*g**6. Factor x(i).
-2*i*(i - 1)**3/3
Factor -1417*j**5 - 1186*j**5 - 261*j**4 + 2600*j**5 - 258*j**3.
-3*j**3*(j + 1)*(j + 86)
Let y(h) be the third derivative of -23/90*h**6 + 0 - 25/36*h**4 + 8*h + 0*h**3 - 4/105*h**7 + 2*h**2 - 2/3*h**5 - 1/504*h**8. Determine a, given that y(a) = 0.
-5, -1, 0
Let z = 4263223/9 - 473683. Suppose 0 - z*b + 2/9*b**2 = 0. What is b?
0, 38
Let c(h) be the second derivative of 1/120*h**4 + 3/20*h**2 + 1/15*h**3 + 3*h - 12. Factor c(w).
(w + 1)*(w + 3)/10
Let l(r) = r**5 - 4*r**4 - r**2 - r + 3. Let v(n) = -6*n**5 + 25*n**4 + 11*n**3 - 28*n**2 + 23*n - 15. Let x(y) = 5*l(y) + v(y). Find q, given that x(q) = 0.
-3, 0, 1, 6
Factor 1229*j**4 - 4026053*j**5 - 409887 + 30431 + 4026054*j**5 + 375763*j**3 - 1134673*j**2 + 1137136*j.
(j - 1)**3*(j + 616)**2
Let n be (21/14)/(9/(-1932)). Let v be (-8)/(-6) + (-25)/((-6825)/n). What is q in 4/13 - 2/13*q - 6/13*q**2 + 2/13*q**4 + v*q**3 = 0?
-2, -1, 1
Let k(m) = m**2 - 7875*m - 229206. Let l be k(-29). Factor -1/2*w**3 - l + 8*w - 1/2*w**2.
-(w - 2)**2*(w + 5)/2
Let u = 2020 - 2014. Let d(i) be the second derivative of -2/135*i**u + 7*i + 0*i**3 + 0*i**2 + 0 + 2/189*i**7 + 1/27*i**4 - 1/45*i**5. Factor d(p).
4*p**2*(p - 1)**2*(p + 1)/9
Let t(b) be the third derivative of -b**6/240 - 229*b**5/120 - 13447*b**4/48 - 12769*b**3/4 + 193*b**2 - 2. Solve t(r) = 0 for r.
-113, -3
Let p = 581 + -698. Let a be 4 + 10/(360/p). Factor -a*u**2 - 15/4*u + 9/2.
-3*(u - 1)*(u + 6)/4
Let m(f) be the second derivative of -9*f**3 + 243/2*f**2 + 5*f + 1/4*f**4 + 3. Factor m(r).
3*(r - 9)**2
Let u = -181 + 184. Suppose 9*h - 4*h**u + 11*h - 4*h**2 - 61 + 49 = 0. Calculate h.
-3, 1
Suppose -5*d + 3*w = -2*d - 2907, -4*d = -w - 3885. Let s = 5833/6 - d. Solve -1/2*n**4 + 0*n**2 + 0*n - s*n**3 + 0 = 0 for n.
-1/3, 0
Let b(i) be the second derivative of -64*i**5 + 2200*i**4/3 + 1115*i**3/6 + 35*i**2/2 + 5*i + 9. Factor b(u).
-5*(u - 7)*(16*u + 1)**2
Suppose -4*m + 195 = -5*z, 164 = 4*m - 4*z - 32. Solve 34 + 53*r**2 + 2 - m*r**2 - 21*r = 0.
3, 4
Let h(y) be the second derivative of y**7/840 + 19*y**6/120 + 361*y**5/40 - 23*y**4/4 - y**2 + 66*y. Let j(f) be the third derivative of h(f). Factor j(p).
3*(p + 19)**2
Let b(j) be the second derivative of -5/17*j**2 + 0 - 13/102*j**4 - 2/85*j**5 + 15*j - 14/51*j**3. Factor b(t).
-2*(t + 1)**2*(4*t + 5)/17
Suppose 24*x - 12*x - 396 = 0. What is k in 26*k**3 - x*k**2 + 24*k - 7*k**4 - 4*k**2 + 79*k**2 + 50*k**2 = 0?
-2, -2/7, 0, 6
Factor -805*o - 21*o**3 - 933*o - 111*o**2 - 108 + 1546*o.
-3*(o + 2)**2*(7*o + 9)
Suppose -107*w**2 - 976 + 1361 - 386*w + 108*w**2 = 0. Calculate w.
1, 385
Let m be -1 + (-6 - -11 - 1). Let x(a) be the third derivative of 0*a + 1/16*a**4 - 3/8*a**m + 1/80*a**5 - 4*a**2 + 0. Factor x(j).
3*(j - 1)*(j + 3)/4
Let l(p) be the first derivative of 62*p**2 - 180*p + 43*p**2 - 50 - 175 - 5*p**3 + 35 + 35*p**2. Factor l(s).
-5*(s - 18)*(3*s - 2)
Let n = -17 - -16. Let u be (2 + n)/((-2)/(-4)). Factor -60*r**u + 12*r + 2*r + 5*r + 35*r**3 - 4*r + 10.
5*(r - 1)**2*(7*r + 2)
Suppose 2*f - 25 = b, 2*b + 46 = -2*f + 74. Let u(n) be the first derivative of -f - 2/9*n**2 + 2/27*n**3 + 2/9*n. Factor u(r).
2*(r - 1)**2/9
Factor 93025/2 - 305*u + 1/2*u**2.
(u - 305)**2/2
Let c(u) be the third derivative of -11*u**8/112 - 23*u**7/35 - 63*u**6/40 - 8*u**5/5 - u**4/2 - 30*u**2 - 8. Solve c(a) = 0.
-2, -1, -2/11, 0
Let t = -16 + 16. Let c(i) = i**2 + 44. Let s be c(t). Factor 67*d**3 + 15*d - 7*d - 16*d**4 - 15*d**3 - s*d**2.
-4*d*(d - 2)*(d - 1)*(4*d - 1)
Let w(o) = -o**3 + 18*o**2 - 63*o - 22. Let f be w(13). What is u in 70 + 5*u**5 - 23*u**2 - 62*u**2 - 43*u**4 - 106 + 56 + 107*u**3 - f*u = 0?
-2/5, 1, 2, 5
Let u = 615628 + -4309216/7. Factor -92/7 - 12*y**2 + 4/7*y**3 - u*y.
4*(y - 23)*(y + 1)**2/7
Let l be 128/45*((-220)/1200*-5 - (-1)/(-6)). Let l*j - 32/15*j**3 - 26/5 + 76/15*j**2 + 2/15*j**4 = 0. What is j?
-1, 1, 3, 13
Let f(q) = -3*q**2 - 28854*q + 34906464. Let l(i) = -8*i**2 - 72130*i + 87266160. Let b(m) = -23*f(m) + 9*l(m). Factor b(k).
-3*(k - 2412)**2
Suppose -18*b**3 + 0 - 27*b**4 + 9/2*b - 21/2*b**5 + 3*b**2 = 0. Calculate b.
-1, 0, 3/7
Let k(t) = -11*t**3 + 36*t**2 - 67*t + 43. Let o(f) = 17*f**3 - 54*f**2 + 100*f - 64. Let n = 62 + -70. Let x(p) = n*k(p) - 5*o(p). Factor x(i).
3*(i - 2)**3
Factor 50*w**4 - 8453*w**3 + 514425 + 125289*w + 6839*w**3 - 7638*w**2 - 3*w**5 + 40*w**4 - 744*w + 51*w**4.
-3*(w - 19)**3*(w + 5)**2
Let y(n) be the first derivative of -n**6/36 - 11*n**5/10 + 71*n**4/24 + 11*n**3/6 - 35*n**2/6 + 989. Suppose y(r) = 0. Calculate r.
-35, -1, 0, 1, 2
Factor -10*g + 12 + 1/2*g**3 + g**2.
(g - 2)**2*(g + 6)/2
Let c(r) be the second derivative of r**7/63 - 6*r**6/5 + 14*r**5 - 325*r**4/9 - 125*r**3 + 21*r + 94. Determine f, given that c(f) = 0.
-1, 0, 5, 45
Let f(y) be the third derivative of 1/25*y**5 - 41/300*y**6 + 0*y**3 - 228*y**2 + 0 + 0*y**4 - 11/840*y**8 + 46/525*y**7 + 0*y. Let f(h) = 0. What is h?
0, 2/11