-12, -1, 0
Factor -34/5*o - 88/3 + 2/15*o**2.
2*(o - 55)*(o + 4)/15
Let r(s) be the third derivative of -s**8/2352 + s**7/70 - 9*s**6/56 + 117*s**5/140 - 27*s**4/14 - 1484*s**2 + 2. Solve r(o) = 0 for o.
0, 3, 12
Solve -201/4*l + 3/4*l**3 - 9/2*l**2 - 45 = 0.
-5, -1, 12
Let n be ((-1546)/50 - (-20 + (-26104)/(-1300)))/(-4). Find h, given that -n*h + 1/4*h**2 + 15/2 = 0.
1, 30
Factor -7257 + 75*v**2 + 7177 - 32*v**3 + 4*v**4 - v + 17*v - 15*v**2.
4*(v - 5)*(v - 2)**2*(v + 1)
Factor -288/13*c**3 - 39200/13 - 40320/13*c - 10928/13*c**2 - 2/13*c**4.
-2*(c + 2)**2*(c + 70)**2/13
Let c(j) be the first derivative of 0*j**5 - 6*j**2 + 30 - 2/3*j**6 - 8/3*j**3 + 8*j + 4*j**4. Solve c(f) = 0.
-2, -1, 1
Let c(k) = 13*k**3 + 611*k**2 - 1241*k + 625. Let s(q) = -180*q**3 - 8555*q**2 + 17375*q - 8750. Let z(h) = 55*c(h) + 4*s(h). What is b in z(b) = 0?
-125, 1
Let f be -10 + (-2 - -4)*1/(-2). Let n = f - -15. Find j such that 8*j**2 + 3*j**4 - 3*j**4 - 4*j**4 + 0*j**4 - n*j**3 = 0.
-2, 0, 1
Suppose 0 = 54*w - 45*w - 36. Let k = 23/5 - w. Find r, given that 0*r + 0 - k*r**2 = 0.
0
Let a = 3888 - 3888. Let d(r) be the third derivative of 0*r + 25/27*r**3 - 7*r**2 - 5/54*r**4 + a + 1/270*r**5. Factor d(v).
2*(v - 5)**2/9
Let o = -9 - -25. Suppose -2*i + 5*j + o = -0*j, j + 5 = i. Factor -4*h**2 - 16 - i*h**2 - 16*h + 7*h**2 - 4*h**2.
-4*(h + 2)**2
Suppose 0 = -5*w + 16*w - 22. Suppose -2250*d - 32 + 2254*d - d**w + 25*d**2 + d**4 - 11*d**3 = 0. What is d?
-1, 2, 8
Let s = -10537 + 221279/21. Let d(z) be the third derivative of 0*z - 10*z**2 + 0*z**3 + 0 - 1/210*z**5 + s*z**4. Factor d(j).
-2*j*(j - 8)/7
Determine i, given that -13370*i**3 - 1324791*i**2 - 5*i**5 - 1020425 - 565*i**4 + 1192981*i**2 - 295157*i - 299948*i = 0.
-85, -7
Let p(b) = -38*b**3 + 152*b**2 - 228*b + 72. Let x(h) = -5*h**3. Let i(m) = -p(m) + 2*x(m). Factor i(v).
4*(v - 3)*(v - 2)*(7*v - 3)
Let u(z) be the second derivative of z**4/42 - 977*z**3/21 + 976*z**2/7 - 1773*z. Let u(i) = 0. Calculate i.
1, 976
Let a(t) be the second derivative of -5*t**8/336 - 5*t**7/21 - 25*t**6/24 - 23*t**2 + 70*t. Let c(o) be the first derivative of a(o). Let c(p) = 0. What is p?
-5, 0
Let o be (-3)/(-4) - (-9009)/(-29484). Factor 1 + 1/9*i**4 - 4/3*i - 2/9*i**2 + o*i**3.
(i - 1)**2*(i + 3)**2/9
Let y(u) be the third derivative of u**8/4200 - u**7/700 + u**5/75 - 7*u**3/2 + 35*u**2. Let g(w) be the first derivative of y(w). Factor g(m).
2*m*(m - 2)**2*(m + 1)/5
Suppose -215*d - 89 = 78*d - 155*d - 365. Factor 9*q - 1/2*q**d - 81/2.
-(q - 9)**2/2
Let w = 851 - 641. Let f be 106/(-1113) + 188/w. Factor 2/5*z**4 + 0*z**2 - f*z + 4/5*z**3 - 2/5.
2*(z - 1)*(z + 1)**3/5
Let d(s) = 10*s + 208. Let g be d(-19). Let m be g + 51/(-12) - 2/8. Suppose -m*j + 3/2*j**5 + 0 - 36*j**3 - 9*j**4 - 39*j**2 = 0. What is j?
-1, 0, 9
Let r(i) = 1. Let p(o) = -8*o**2 - 13948*o - 6900. Let x(c) = p(c) - 72*r(c). Factor x(a).
-4*(a + 1743)*(2*a + 1)
Suppose 29*f - 47*f = 486. Let o be (26 + f)/(-2 - 1). Find i such that -1/9 + 2/9*i + o*i**2 = 0.
-1, 1/3
Let k be 0 - (-4*1 + 2). Suppose 5*p - 7*i - 13 = -4*i, 42 = 2*p + 8*i. Factor -3*u + 5*u**2 + 7*u**k - 4*u**4 - p*u.
-4*u*(u - 1)**2*(u + 2)
Let l(g) = -2*g**3 - 11*g**2 + 6*g + 33. Let f be l(-5). Let h be (1 - f/(-14))/(72/(-252)). Factor 0 - 56/9*s**h + 8/9*s - 10/3*s**3.
-2*s*(s + 2)*(15*s - 2)/9
Let d = 50891/6940 + 7/20820. Factor d + 1/3*q**2 + 13/3*q.
(q + 2)*(q + 11)/3
Let s be (7/(42/(-12)))/((-1)/4). Let o(q) = -157*q - 7*q**2 + 144*q + 0*q**2 + s. Let d(y) = -6*y**2 - 12*y + 9. Let z(p) = 4*d(p) - 3*o(p). Factor z(f).
-3*(f - 1)*(f + 4)
Let w(y) be the second derivative of 7/3*y**3 + 0 + 0*y**2 - 1/18*y**4 - 60*y. Factor w(a).
-2*a*(a - 21)/3
Let l(n) be the third derivative of -1/126*n**4 + 0 - 1/630*n**5 - 12*n + 1/1260*n**6 - 2*n**2 + 0*n**3. Solve l(g) = 0 for g.
-1, 0, 2
Let z(f) = 7*f**2 - 13*f - 6. Let x be z(-4). Suppose -103 = 11*a - x. Factor -1/4*y**4 - 1/4*y**a + 0*y + 0*y**2 + 0*y**3 + 0.
-y**4*(y + 1)/4
Suppose 6*x - 151 = -185*x - 151. Let d(r) be the third derivative of 1/90*r**5 + 25*r**2 + 0*r + x + 5/36*r**4 + 2/3*r**3. Factor d(m).
2*(m + 2)*(m + 3)/3
Factor 9/5*j**2 - 268/5*j - 128.
(j - 32)*(9*j + 20)/5
Let o(h) = -12*h**4 + 28*h**3 + 58*h**2 - 95*h - 14. Let z(r) = 5*r**4 - 14*r**3 - 29*r**2 + 47*r + 6. Let t(y) = -3*o(y) - 7*z(y). Solve t(p) = 0.
-11, -4, 0, 1
Let l = -1981 - -1986. Let h(i) be the third derivative of -1/3*i**4 + 1/60*i**6 + 1/30*i**l - 4/3*i**3 + 0 - 15*i**2 + 0*i. Determine d, given that h(d) = 0.
-2, -1, 2
Let z be 4/26 + 400/104. Suppose 7*f - z = 6*f. Suppose -3*l**2 + l**3 - 3*l**2 - f + 9*l**2 - 9*l**2 + 9*l = 0. Calculate l.
1, 4
Let x(g) be the third derivative of 0*g - 5/6*g**3 + 1/120*g**5 - 1/90*g**6 + 0 + 20*g**2 + 0*g**4. Let q(a) be the first derivative of x(a). Factor q(z).
-z*(4*z - 1)
Suppose -6097*c - 182 - 261 = -6276*c + 94. Suppose -4*y - 2/5*y**5 - 16/5 + 22/5*y**c + 2/5*y**4 + 14/5*y**2 = 0. What is y?
-2, -1, 1, 4
Let z be 2/(-15) - (-57 + (-71022)/(-1260)). Factor -2/3*r - 2/3 + z*r**2.
(r - 2)*(3*r + 2)/6
Let d(k) = k**2 - 32*k + 260. Let u(z) = 7*z**2 - 32*z + 267. Let y(p) = -p**2 - 1. Let a(b) = u(b) + 6*y(b). Let v(c) = -4*a(c) + 5*d(c). Factor v(t).
(t - 16)**2
Let y = -66 - -62. Let f be (11/(-33))/(y/18)*2. Factor -437 - 4*j**f + 16*j + 437.
-4*j*(j - 2)*(j + 2)
Suppose -21*i - 49 = 23 - 114. Factor 3/8*f**i + 105/8 - 9/2*f.
3*(f - 7)*(f - 5)/8
Suppose -4331709 - 184*n + 4293293 - 208*n - n**2 = 0. What is n?
-196
Let z be (-5)/(-9)*(3330/150 + -21). Let i(x) be the third derivative of 0*x + 3/10*x**5 + 0 - 18*x**2 - 7/12*x**4 - z*x**3. Find r such that i(r) = 0.
-2/9, 1
What is x in -2*x**3 - 2*x**3 - 249*x**2 + 365 + 7*x**3 - 519*x + 107 + 293 = 0?
-3, 1, 85
Factor -1055 - x**2 - 1124 - 215*x - 4*x**2 + 2902 - 933.
-5*(x + 1)*(x + 42)
Let g be 10*((-4)/(-5))/2 + -2. Suppose -125*h**3 - 43*h - 29*h + 55*h**3 + 421*h**3 + 21*h**5 - 138*h**g - 162*h**4 = 0. What is h?
-2/7, 0, 1, 3, 4
Let i(u) be the first derivative of u**6/6 + 39*u**5/5 + 237*u**4/4 - 955*u**3/3 + 519*u**2 - 360*u - 3397. Find y, given that i(y) = 0.
-30, -12, 1
Let -6666/5*p**2 - 44*p**3 - 33488/5*p - 2/5*p**4 - 5408 = 0. What is p?
-52, -5, -1
Let l(x) be the second derivative of -x**6/30 + 4*x**5/15 + 5*x**4/6 + 30*x**2 - x + 33. Let v(a) be the first derivative of l(a). Factor v(c).
-4*c*(c - 5)*(c + 1)
Let x be (18/84)/((-462)/(-616)). Suppose -x*t**2 - 8/7 + 10/7*t = 0. What is t?
1, 4
Factor 43*a + 960*a**2 + 5*a**4 - 130*a**3 + 192725 - 192725 - 1483*a.
5*a*(a - 12)**2*(a - 2)
Let k(j) be the third derivative of j**5/270 - 31*j**4/108 - 816*j**2. Suppose k(o) = 0. What is o?
0, 31
Let r(h) be the third derivative of -h**8/840 - h**7/420 - 21*h**3/2 - 13*h**2. Let p(m) be the first derivative of r(m). Factor p(g).
-2*g**3*(g + 1)
Let i(p) be the first derivative of -1/2*p**4 + 0*p - 20/3*p**3 + 95 + 0*p**2. Solve i(f) = 0 for f.
-10, 0
Let r(y) be the third derivative of y**4/12 - 19*y**3/2 - 4*y**2. Let t be r(30). Let t - 7 - v**2 + 38*v - 42*v = 0. Calculate v.
-2
Let 2799/5*h**3 + 168/5*h**4 + 2490*h**2 + 3/5*h**5 + 3000*h + 0 = 0. Calculate h.
-25, -4, -2, 0
Solve -1/3*s**5 + 112*s - 230/3*s**2 + 0 + 10*s**4 - 45*s**3 = 0 for s.
-2, 0, 1, 7, 24
Suppose 3*m - v - 72 = 0, 0 = -3*m + 2*m - 2*v + 31. Factor -5*s**4 + m*s + 45*s**2 + 8*s**3 - 5*s**3 + 2*s**3 + 5*s**3 + 5*s**3.
-5*s*(s - 5)*(s + 1)**2
Factor -4*q**3 - 766 + 3466 - 1080*q + 160*q**2 - 25*q**2 - q**3.
-5*(q - 15)*(q - 6)**2
Let d(q) be the first derivative of q**4/60 + 16*q**3/15 - 34*q**2/5 + 73*q + 27. Let t(h) be the first derivative of d(h). Determine s, given that t(s) = 0.
-34, 2
Suppose -1984*h - 2471*h**2 + 45 - 4*h**4 + 1551*h**2 + 1299 + 1007*h**2 - 144*h**3 + 873*h**2 = 0. What is h?
-42, 2
Let r(g) = g**2 - 7*g - 14. Let w = 759 + -755. Let z(l) = -l**2 - l - 2. Let f(h) = w*z(h) + 2*r(h). Factor f(c).
-2*(c + 3)*(c + 6)
Let t(a) be the first derivative of a**4/24 - 25*a**3/18 - 29*a**2/3 + 2715. Factor t(y).
y*(y - 29)*(y + 4)/6
Suppose -10*k = -14*k + 72. Find y such that 12*y**4 + y**2 - k*y**5 + 14*y**5 + 8*y**3 - 20*y**3 + 3*y**2 = 0.
0, 1
Let y(k) = -2*k**3 - 73*k**2 - 36*k + 1. Let h be y(-36). Let f be (h/(-30)*-4)/((-2)/(-6)). Facto