 - 4/3*j**m.
-2*(j - 1)*(j + 1)*(2*j - 1)/3
Let j = -11 - -26. Suppose 0 = o + j - 15. Let -1/5*r**5 + 0*r - 2/5*r**4 + o + 2/5*r**2 + 1/5*r**3 = 0. Calculate r.
-2, -1, 0, 1
Let c(h) be the second derivative of 9*h**5/160 + 11*h**4/2 + 2639*h**3/16 + 2523*h**2/8 + 99*h + 1. Let c(q) = 0. What is q?
-29, -2/3
Let z be (264/9)/(-8) - 4/(-6). Let n be z/(-9)*-6*(-6)/66. Suppose 2/11*c**4 - n*c**2 + 2/11*c**5 + 0 - 2/11*c**3 + 0*c = 0. Calculate c.
-1, 0, 1
What is u in -21*u**3 - 65*u**2 - 49*u**4 - 5*u + 96*u**3 + 14*u**4 + 11*u + 5*u**5 + 14*u = 0?
0, 1, 4
Let s(m) be the first derivative of 3*m**5/20 - 25*m**4/16 - 19*m**3/12 + 9*m**2/8 - 219. Find c such that s(c) = 0.
-1, 0, 1/3, 9
What is a in -34*a**2 - 2*a**4 + a**2 - 37*a**3 - a**4 - 8*a + 9*a**3 = 0?
-8, -1, -1/3, 0
Let k be (-2)/6 - (-19)/3. Suppose -5*r + 11 = 4*n, r - 2*r + 7 = -4*n. Find x, given that x + 2*x**4 + x**r - k*x**3 + x + x**2 = 0.
-1/2, 0, 1, 2
Factor 12 - 3*n**2 + 3*n - 3/4*n**3.
-3*(n - 2)*(n + 2)*(n + 4)/4
Let f(j) be the third derivative of j**7/2520 - j**6/540 + j**5/360 + 13*j**4/24 + 13*j**2. Let v(d) be the second derivative of f(d). Factor v(y).
(y - 1)*(3*y - 1)/3
Suppose -4*q + 19*q - 35 = -5. Let -5/3*k + 22/3*k**4 + 0 + 26/3*k**q - k**5 - 40/3*k**3 = 0. Calculate k.
0, 1/3, 1, 5
Let w(z) be the third derivative of -z**5/180 + z**4/9 - 90*z**2. Factor w(f).
-f*(f - 8)/3
Let g(h) = -2*h**4 - 1. Let a(l) = 45*l**4 - 6*l**3 - 9*l**2 + 6*l + 18. Let c(p) = a(p) + 18*g(p). Let c(u) = 0. What is u?
-1, 0, 2/3, 1
Let t = 629 + -627. Let -2/3*j**5 + 0*j**t - 4/3*j**3 + 2*j**4 + 0*j + 0 = 0. What is j?
0, 1, 2
Let l(x) = 2*x**2 + 4*x + 3. Let z be l(-2). Let k be (-2*2 - -3) + z. Factor f**2 + 2*f**4 - 2*f**3 + 2*f - 1 - 3*f**k + 1.
2*f*(f - 1)**2*(f + 1)
Let z(v) = 5*v + 135. Let u be z(-27). Let h(s) be the third derivative of u*s**3 - 1/90*s**6 - s**2 + 1/180*s**5 + 0*s**4 + 0*s + 0. Factor h(l).
-l**2*(4*l - 1)/3
Factor 214*n - 14*n**2 + 0*n**3 - 2*n**3 - 214*n.
-2*n**2*(n + 7)
Suppose 2*f = 3*z + 4, f = 3*z + 12 - 13. Let i be z/(-3) - 7/(84/(-44)). Factor 3/7*v**4 + 3/7*v**i - 15/7*v - 6/7 - 9/7*v**2.
3*(v - 2)*(v + 1)**3/7
Suppose -4*p + 0*p - 4*p**5 - 12*p**3 - 3 + 14*p - 3 + 14*p**4 + 6*p - 8*p**2 = 0. What is p?
-1, 1, 3/2
Let m be (-1)/((-10)/(-25)*-10). Let v(l) be the first derivative of 1/18*l**3 + 3 + 1/3*l - m*l**2. Factor v(g).
(g - 2)*(g - 1)/6
Let n(s) be the third derivative of s**5/360 + 7*s**4/6 - 77*s**2 - 1. Factor n(g).
g*(g + 168)/6
Let y be 3/(-15)*(4 - (-185)/(-40)). Let i(x) be the second derivative of -5*x - 1/16*x**4 + y*x**3 + 0*x**2 + 0. Find s, given that i(s) = 0.
0, 1
Let n(g) = 3*g - 15. Let c(t) = 4*t - 15. Let x(k) = 4*c(k) - 5*n(k). Let i be x(-12). Factor b**2 + i*b**3 + 0 + 0*b + 5/4*b**4.
b**2*(b + 2)*(5*b + 2)/4
Let d(x) be the first derivative of -x**6/36 - x**5/6 - x**4/24 + 17*x**3/18 + 11*x**2/6 + 4*x/3 - 9. Find b, given that d(b) = 0.
-4, -1, 2
Let d(q) be the second derivative of q**6/15 + 49*q**5/10 + 575*q**4/6 - 625*q**3/3 + 221*q. Find y such that d(y) = 0.
-25, 0, 1
Let o(p) = 2*p**3 - 2*p**2 - 2*p. Let c(j) be the first derivative of 1/4*j**4 - j - 1/3*j**3 + 7 - 1/2*j**2. Let h(r) = c(r) - o(r). Factor h(v).
-(v - 1)**2*(v + 1)
Let m be ((96/9)/2)/12. Suppose -2/9*d**5 + m*d**4 - 8/9*d**2 - 2/9*d + 4/9 + 4/9*d**3 = 0. Calculate d.
-1, 1, 2
Factor -1/2*x**4 + 3*x**3 + 0*x**2 + 0 + 0*x.
-x**3*(x - 6)/2
Let g be ((741/266)/(-13))/((-12)/(-14)) + 1. Factor -g*b - 1/2 - 1/4*b**2.
-(b + 1)*(b + 2)/4
Let z(f) be the second derivative of -f**4/24 - 41*f**3/12 + 21*f**2/2 - 5*f + 9. Factor z(t).
-(t - 1)*(t + 42)/2
Let x be ((-56)/36)/(-7) + 74/(-9). Let s be ((-4)/x)/((-3)/(-18)). Factor 1/3*z - z**2 + z**s - 1/3*z**4 + 0.
-z*(z - 1)**3/3
Let i(b) be the third derivative of 0 + 25/12*b**4 + 0*b**3 + 22*b**2 + 0*b + 1/12*b**5. Factor i(l).
5*l*(l + 10)
Suppose 5*j - 44 = -4*y, 11 = 4*j - 5. Let v(f) be the third derivative of 0 + 0*f**3 + 1/360*f**5 - 3*f**2 + 0*f**y + 0*f - 1/1260*f**7 + 0*f**4. Factor v(q).
-q**2*(q - 1)*(q + 1)/6
Let q = -175766/7 - -25110. Solve 0 - 2/7*p**2 + 4/7*p + 2/7*p**4 - q*p**3 = 0.
-1, 0, 1, 2
Let b = 64 - 41. Suppose 5*g - b = -3. Factor 0*i**2 + 0*i - 2/5*i**g + 2/5*i**3 + 0.
-2*i**3*(i - 1)/5
Let t be 2/3 - 2/3. Suppose -128 = -t*n - 2*n. Find c such that 624*c + 500*c**4 + 86*c**3 - 176*c - n - 960*c**2 + 314*c**3 = 0.
-2, 2/5
Let o(g) be the first derivative of -g**6/900 - g**5/150 + g**4/20 + 5*g**3/3 + 3. Let q(a) be the third derivative of o(a). Factor q(b).
-2*(b - 1)*(b + 3)/5
Suppose -4*l + 22 = r, 3*r - 4*l + 24 = 5*r. Find q, given that 9*q - 15*q**3 - 10 + 5*q**4 + 1341*q**2 - 1336*q**r + 6*q = 0.
-1, 1, 2
Suppose -11 + 5 = -2*n. Suppose 14 = 2*k + 2*s - s, k - n*s = 0. Factor -3/2*r**2 + k*r - 6.
-3*(r - 2)**2/2
Let g(p) be the first derivative of -p**4/2 + 8*p**3/3 - p**2 - 12*p + 329. Factor g(d).
-2*(d - 3)*(d - 2)*(d + 1)
Suppose -2*m + 29 - 21 = 0. What is p in m*p + 7*p + 20*p**2 + 4*p - 10*p = 0?
-1/4, 0
Factor 6*r - 3*r**2 - r**2 - 108 + 59*r - 112*r - 65*r.
-4*(r + 1)*(r + 27)
Let z be ((-2)/(-4))/((-1095)/(-2628)). Determine n so that z*n - 3/5 - 3/5*n**2 = 0.
1
Let o(h) be the second derivative of h**6/1260 + h**5/210 + h**4/84 - h**3 + 5*h. Let n(j) be the second derivative of o(j). Factor n(m).
2*(m + 1)**2/7
Let g(c) = 4*c**2 - 274*c + 285. Let b(n) = -6*n**2 + 410*n - 425. Let p(r) = 5*b(r) + 7*g(r). Factor p(k).
-2*(k - 65)*(k - 1)
Let m(u) be the second derivative of 15*u**2 - 25/6*u**3 + 24*u - 5/12*u**4 + 0. Factor m(n).
-5*(n - 1)*(n + 6)
Let k be 14/((-224)/6) - 70/(-16). Let x(r) be the first derivative of 0*r**2 - 2/7*r**3 - 7 + 2/7*r + 1/7*r**k. Factor x(v).
2*(v - 1)**2*(2*v + 1)/7
Suppose -2*g + 14 - 5 = 5*w, -w + 3 = g. Suppose 2/3 - 1/3*v - 1/3*v**g = 0. What is v?
-2, 1
Let f be 4 + -6 - -2*(-246)/(-240). Let j(w) be the third derivative of f*w**5 + 0 + 5*w**2 + 0*w**3 - 1/70*w**7 + 1/8*w**4 - 1/40*w**6 + 0*w. Factor j(z).
-3*z*(z - 1)*(z + 1)**2
Factor 0*q + 0 - 17/5*q**3 + 2/5*q**2.
-q**2*(17*q - 2)/5
Let o = -6739 + 6742. Factor -1/7*f + 1/7*f**4 + 1/7*f**o + 0 - 1/7*f**2.
f*(f - 1)*(f + 1)**2/7
Find a such that 9*a**2 - 16 + 8*a - 1/2*a**3 - 1/2*a**4 = 0.
-4, -2, 1, 4
Let w(r) = 2*r**4 - 7*r**3 + 185*r**2 + 7*r - 14. Let b(s) = -4*s**4 + 12*s**3 - 308*s**2 - 12*s + 24. Let x(u) = -7*b(u) - 12*w(u). Factor x(l).
4*l**2*(l - 4)*(l + 4)
Let y(r) be the first derivative of 2/9*r**2 + 2/27*r**3 + 36 - 16/9*r. Let y(f) = 0. What is f?
-4, 2
Suppose 3*c - 6 = c. Find y, given that -y**4 - 654*y**c + 656*y**3 + y**4 - y**5 - y = 0.
-1, 0, 1
Let h be (30 + 6 - 39)/((-3)/((-3)/(-1))). Suppose -1/5*o**4 - 1/5*o**h + 0 + 1/5*o + 1/5*o**2 = 0. Calculate o.
-1, 0, 1
Let z be (-3 - -5)/6 + (-2316)/9. Let p = 1029/4 + z. Factor 3/4 + 7/4*t + p*t**3 + 5/4*t**2.
(t + 1)**2*(t + 3)/4
Find y such that 4*y**3 + y**3 - 148*y - 60*y - 60 + 2*y**3 - 13*y**2 + 22*y**2 = 0.
-6, -2/7, 5
Let s(g) be the second derivative of 0*g**2 + 0*g**3 + 1/6*g**4 - 5/84*g**7 + 0 + 14*g + 1/5*g**5 - 7/60*g**6. Suppose s(l) = 0. Calculate l.
-2, -2/5, 0, 1
Let v(j) be the second derivative of -j**6/50 + 7*j**4/20 - 3*j**3/5 + 50*j. Factor v(h).
-3*h*(h - 2)*(h - 1)*(h + 3)/5
Determine w so that -10/13*w**3 - 16/13*w**4 + 6/13*w**2 + 0*w + 0 = 0.
-1, 0, 3/8
Let r(a) be the third derivative of 3/20*a**5 - 4*a**2 - 1/2*a**4 + 0*a**6 + 0 - 1/140*a**7 + 0*a + 3/4*a**3. Let r(z) = 0. Calculate z.
-3, 1
Find w such that 961*w**2 - 985*w**2 + 18*w - 5*w**3 + 2*w**5 + w**3 + 8*w**4 = 0.
-3, 0, 1
Let r(x) be the first derivative of x**4/14 - 108*x**3/7 + 8748*x**2/7 - 314928*x/7 + 65. Factor r(j).
2*(j - 54)**3/7
Let t(j) = j**3 + 6*j**2 - 7*j + 2. Let w be t(-7). Factor -w - 3 + 51*o - 5 - 8 - 15*o**2.
-3*(o - 3)*(5*o - 2)
Let n(d) = -6*d**3 + 33*d**2 - 283*d + 261. Let f(q) = 5*q**3 - 33*q**2 + 284*q - 260. Let o(p) = -5*f(p) - 4*n(p). Find w such that o(w) = 0.
1, 16
Suppose -3*h + a = -2*h - 66, 4*a = -2*h + 138. Let k = -63 + h. Factor -4/5*d**k + 64/5*d**3 - 384/5*d**2 - 1024/5 + 1024/5*d.
-4*(d - 4)**4/5
Suppose -7 = 4*b + 1. Let g(w) = -3*w - 5. Let p be g(b). Factor p + 6 - 9*h**2 + 3*h**4 + 3*h**2 - 4.
3*(h - 1)**2*(h + 1)**2
Let x(u) be the first derivative of -u**4/14 - 2*u**3