 0. What is l?
-1, 0, 1
Factor 4*g**4 - g**2 - g**4 + 0*g**2 - 2*g**4.
g**2*(g - 1)*(g + 1)
Let u(g) be the third derivative of 0*g - 1/280*g**6 - 1/14*g**4 - 1/35*g**5 + 0*g**3 + 0 + 9*g**2. Factor u(s).
-3*s*(s + 2)**2/7
Let t = 36632/9 - 4070. Suppose 2/9*y**4 - t*y**2 - 2/9*y + 2/9*y**3 + 0 = 0. Calculate y.
-1, 0, 1
Determine c so that -21*c**2 - 119/2*c - 1/2*c**3 - 39 = 0.
-39, -2, -1
Let a(l) be the first derivative of -l**6/80 - l**5/40 + l**4/8 + 7*l**2 + 11. Let z(y) be the second derivative of a(y). Suppose z(b) = 0. What is b?
-2, 0, 1
Let m(x) = -3*x - 27. Let j be m(-4). Let r be (j/(-10))/((-1)/(-8)*10). Factor -3/5*a**5 + 3/5*a + 0*a**3 - r*a**2 + 6/5*a**4 + 0.
-3*a*(a - 1)**3*(a + 1)/5
Factor -5 - 43/2*u - 51/2*u**2 + 5/2*u**4 - 13/2*u**3.
(u - 5)*(u + 1)**2*(5*u + 2)/2
Let c be 3/7 + (-750)/(-210). Suppose -r - 4*r - 12 = -3*i, -2*r + c = i. Determine b, given that 2/3*b**2 + r + 0*b + 1/3*b**3 = 0.
-2, 0
Factor -n**2 + 0 + 4/3*n + 1/3*n**5 + n**4 - 5/3*n**3.
n*(n - 1)**2*(n + 1)*(n + 4)/3
Suppose 646 = -19*w + 342*w. Factor 2/15*u**w - 4/15 - 2/15*u.
2*(u - 2)*(u + 1)/15
Solve 18/11*c**3 + 2/11*c**5 + 4/11*c + 0 - 10/11*c**4 - 14/11*c**2 = 0.
0, 1, 2
Let q(z) be the third derivative of z**6 + 31*z**5/30 - 9*z**4/4 + 2*z**3/3 + 4*z**2 + 33*z. Factor q(h).
2*(h + 1)*(5*h - 2)*(12*h - 1)
Let k = -2 + 1. Let r(h) = 1. Let b(j) = -6*j**2 + 6*j + 30. Let q(l) = k*b(l) + 9*r(l). Let o(t) = 3*t**2 - 3*t - 10. Let y(p) = 9*o(p) - 4*q(p). Factor y(u).
3*(u - 2)*(u + 1)
Factor 14/3*y**4 + 8*y**3 - 25/3*y - 4 + 1/3*y**5 - 2/3*y**2.
(y - 1)*(y + 1)**3*(y + 12)/3
Let z = 709 - 705. Let m(f) be the first derivative of -4*f**2 - 4/15*f**3 + 1/2*f**z - 9 + 16/5*f. Factor m(b).
2*(b - 2)*(b + 2)*(5*b - 2)/5
Let w(j) = 2*j - 12 + 5*j + 20*j + 0*j. Let o(n) = n**2 - 26*n + 13. Let k(x) = 6*o(x) + 5*w(x). Factor k(u).
3*(u - 2)*(2*u - 3)
Let -7*f**2 - 7588*f + 15174*f - 7592*f = 0. What is f?
-6/7, 0
Let -36/19*t + 2/19*t**2 - 2 = 0. Calculate t.
-1, 19
Let j be (-10)/(-35)*(15/(-90) - 8/(-6)). Factor 1/3*i**5 - 1/3*i**4 + 0*i + 0 + j*i**2 - 1/3*i**3.
i**2*(i - 1)**2*(i + 1)/3
Find t, given that 105*t**3 + 94*t**4 + 90*t**2 - 54*t**4 + 9*t**5 + 0*t**5 - t**5 - 3*t**5 = 0.
-3, -2, 0
Let t be (-1 - 2 - (1 - 2)) + -46. Let i = 52 + t. Factor -3/2*s - 1/2*s**2 + 1 - 1/2*s**i + 3/2*s**3.
-(s - 2)*(s - 1)**2*(s + 1)/2
Let v(d) = d**3 - 12*d**2 - 10*d + 303. Let a be v(10). Factor 2/9*x**a - 4/9 + 4/9*x**2 - 2/9*x.
2*(x - 1)*(x + 1)*(x + 2)/9
Let c(y) be the first derivative of 4/3*y**3 - 9/5*y**5 + 0*y**2 + 0*y - 3*y**4 + 16 + 7/6*y**6. Determine i, given that c(i) = 0.
-1, 0, 2/7, 2
Let p(m) be the first derivative of -m**3/36 + 8*m**2/3 - 256*m/3 + 104. Factor p(s).
-(s - 32)**2/12
Let c(a) be the second derivative of a**6/6 - 3*a**5/2 + 80*a**3/3 + 96*a. Determine o, given that c(o) = 0.
-2, 0, 4
Suppose 188*a - 70 = 174*a. Let w(r) be the first derivative of 0*r**2 - r**3 + 0*r - 3/2*r**4 - 1 - 3/5*r**a. What is o in w(o) = 0?
-1, 0
Let k(g) be the second derivative of g**4/4 - 53*g**3 + 8427*g**2/2 - 157*g. Determine t, given that k(t) = 0.
53
Let r = 14431/321552 + -14/319. Let h(x) be the third derivative of r*x**8 + 0*x + 0*x**5 + 0 - 1/630*x**7 + 4*x**2 + 0*x**4 + 0*x**3 - 1/180*x**6. Factor h(l).
l**3*(l - 2)*(l + 1)/3
Let z(x) be the first derivative of x**4 - 32*x**3/3 - 8*x**2 + 128*x + 340. Let z(d) = 0. What is d?
-2, 2, 8
Let c(d) be the third derivative of 0 - 1/24*d**5 + 1/12*d**4 - 23*d**2 + 1/12*d**3 + 0*d. Let c(q) = 0. Calculate q.
-1/5, 1
Let a(q) be the first derivative of -2*q**3/45 + 86*q**2/15 - 3698*q/15 - 203. Factor a(s).
-2*(s - 43)**2/15
Let d be (-21)/24*((-642)/42 - -11). Factor -d*s**3 + 0*s**2 + 5/2*s**4 + 0 + 5/4*s.
5*s*(s - 1)**2*(2*s + 1)/4
Let r be 140/12*9/21. Solve -3/2*q**3 - 1/2*q**2 + 1/2*q**r + q + 1/2*q**4 + 0 = 0.
-2, -1, 0, 1
Let v(f) be the second derivative of 21*f + 1/30*f**4 + 0 + 1/3*f**3 + 6/5*f**2. Factor v(g).
2*(g + 2)*(g + 3)/5
Let j(a) be the first derivative of -44*a**5/25 - 31*a**4/5 - 5*a**3 - 2*a**2/5 + 4*a/5 + 460. Let j(l) = 0. What is l?
-2, -1/2, 2/11
Let t be (7 - 3) + (1 - 0). Let c(r) be the first derivative of -2 - 4*r - r + t*r - 3*r + r**3. Determine o, given that c(o) = 0.
-1, 1
Solve 8/11*l**5 - 34/11*l**3 + 0 + 6/11*l**4 + 8/11*l - 24/11*l**2 = 0.
-2, -1, 0, 1/4, 2
Let z(q) = 94*q**2 - 560*q + 4913. Let r(k) = 44*k**2 - 280*k + 2456. Let t(s) = -13*r(s) + 6*z(s). Let t(p) = 0. What is p?
35/2
Let i be 16/2 + (-1368)/180. Factor 16/5 - 24/5*y + 12/5*y**2 - i*y**3.
-2*(y - 2)**3/5
Factor -8/3 - 8/3*d - 2/3*d**2.
-2*(d + 2)**2/3
Let a(r) = 7*r**3 + 3*r**2 - 10*r + 2. Let s(q) = -4 + 30*q - 8*q**2 + 6 - 9 - 22*q**3. Let t(b) = -7*a(b) - 2*s(b). Suppose t(x) = 0. What is x?
-2, 0, 1
Let q(h) be the first derivative of 3*h**4/20 - 61*h**3/5 - 114. Suppose q(a) = 0. Calculate a.
0, 61
Let g(o) be the second derivative of o**5/4 + 255*o**4/4 + 13005*o**3/2 + 663255*o**2/2 + 9*o - 21. Factor g(k).
5*(k + 51)**3
Let m = -139775/6 - -23296. Solve -m + 1/3*c**2 - 1/6*c**4 + 2/3*c**3 - 1/3*c - 1/3*c**5 = 0.
-1, -1/2, 1
Factor 14/9*c + 4/3 + 2/9*c**2.
2*(c + 1)*(c + 6)/9
Let d(n) = -n**3 + 15*n**2 + 33*n + 2. Let l be d(17). Let k be -3 - 2/(-1) - 25/l. Solve k*t**2 + 8/3 + 8/3*t = 0 for t.
-2
Let h(b) = 15*b**2 - 29*b + 13. Let k be ((-190)/(-25) + -2)/(2/(-10)). Let c(w) = -136*w**2 + 260*w - 116. Let r(t) = k*h(t) - 3*c(t). Factor r(m).
-4*(m - 2)*(3*m - 2)
Let h(z) be the first derivative of -2/3*z**3 + 2*z + z**2 - 34 - 1/2*z**4. Factor h(g).
-2*(g - 1)*(g + 1)**2
Let x(h) be the second derivative of -h**7/5460 + h**5/780 - 2*h**3/3 + 9*h. Let c(o) be the second derivative of x(o). Determine j, given that c(j) = 0.
-1, 0, 1
Let j be 5*((-3 - (-583)/165) + 0). Find a such that -22/3*a**2 + 8/3*a + j + 6*a**4 - 4*a**3 = 0.
-2/3, 1
Let p(h) = -39*h**3 - h**2 - 3*h. Let w(t) = -272*t**3 - 4*t**2 - 20*t. Let j(i) = 20*p(i) - 3*w(i). Let j(o) = 0. What is o?
0, 2/9
Let t(h) be the second derivative of -h**4/96 + h**3/16 - 52*h - 4. Find s such that t(s) = 0.
0, 3
Let c(l) be the second derivative of l**6/540 - l**5/90 + 6*l**2 + 19*l. Let w(t) be the first derivative of c(t). Solve w(o) = 0 for o.
0, 3
Let x(i) be the first derivative of 7 + 16/27*i**3 + 2/9*i - 8/9*i**4 + 7/9*i**2. Suppose x(o) = 0. Calculate o.
-1/4, 1
Let g(c) = -c**3 + c**2 + c - 1. Let p(d) = -5*d**4 - 20*d**3 + 40*d**2 - 15. Let a(q) = 25*g(q) - p(q). Factor a(i).
5*(i - 1)**3*(i + 2)
Let v(f) be the second derivative of f**4/9 + 152*f**3/3 + 8664*f**2 - 9*f - 23. Find r, given that v(r) = 0.
-114
Let t(f) be the first derivative of -f**6/15 + 6*f**5/25 + 13*f**4/10 - 14*f**3/15 - 36*f**2/5 - 8*f - 356. Determine l, given that t(l) = 0.
-2, -1, 2, 5
Let b(t) be the third derivative of 2/3*t**4 - 1/30*t**6 - 8/3*t**3 + 1/15*t**5 - 5*t**2 + 0 + 0*t. What is o in b(o) = 0?
-2, 1, 2
Let z be 31 + -32 + (1 - 1)/(-2). Let d = 1 - z. Let 0*p - 1/2*p**3 + 0 + 0*p**d = 0. Calculate p.
0
Let v(a) = 14*a**3 - 2599*a**2 + 565088*a - 40873242. Let h(s) = -2*s**3 - s**2 - 4*s - 2. Let k(x) = -5*h(x) - v(x). Suppose k(n) = 0. What is n?
217
Let o(y) be the second derivative of y**6/195 + y**5/10 + 17*y**4/26 + 21*y**3/13 - 503*y. Determine g, given that o(g) = 0.
-7, -3, 0
Suppose -2*b - 4*p = -p - 9, 3*b = -4*p + 12. Factor -2*w - 6*w**3 - 2*w**4 + b*w - 451*w**2 + 445*w**2.
-2*w*(w + 1)**3
Let q(p) be the second derivative of 5*p**7/21 - p**6/2 - 9*p**5/4 - 5*p**4/12 + 5*p**3/2 + p + 74. Solve q(z) = 0.
-1, 0, 1/2, 3
Let t(f) be the first derivative of 3*f**5/5 - 2*f**4 - f**3/3 - f**2 - 6. Let j(x) = 6*x**4 - 16*x**3 - x**2 - 3*x. Let s(a) = 4*j(a) - 7*t(a). Factor s(p).
p*(p - 2)*(p - 1)*(3*p + 1)
Let f be (1180/354)/(2/(-3)) + 14/2. What is c in -4/3 - 2/9*c**f + 14/9*c = 0?
1, 6
Find s, given that -1/7*s**4 + 0*s + 2/7*s**3 + 15/7*s**2 + 0 = 0.
-3, 0, 5
Let y(x) = -x**4 - 8*x**3 - 4*x**2 - 3. Let h(i) = -i**4 - 8*i**3 - 3*i**2 - 4. Let a(r) = 3*h(r) - 4*y(r). Factor a(v).
v**2*(v + 1)*(v + 7)
Let o = -39 - -42. Let u = o - -2. Factor 2/7*m**4 - 2/7*m**3 + 0*m + 0 - 2/7*m**2 + 2/7*m**u.
2*m**2*(m - 1)*(m + 1)**2/7
Find j, given that 2/9*j**2 - 10/3 - 4/9*j = 0.
-3, 5
Suppose 9*g - 12 = 5*g. Factor -n**3 + 0*n**3 - 2*n**4 