of 0 - 1/3*q**4 + 8/3*q**3 - 8*q**2 - 20*q. Suppose g(y) = 0. What is y?
2
Suppose 2/3*h**2 + 338/3 + 52/3*h = 0. Calculate h.
-13
Let q(n) be the second derivative of n**7/10080 + 7*n**6/5760 + n**5/320 + 41*n**4/12 + 2*n. Let m(i) be the third derivative of q(i). Factor m(j).
(j + 3)*(2*j + 1)/8
Let j(g) be the first derivative of g**6/2 + g**5 + g**4/4 - g**3/3 + 2*g**2 + 4*g + 19. Let w(x) = -x**5 - x**4 - x - 1. Let q(f) = j(f) + 4*w(f). Factor q(c).
-c**2*(c - 1)**2*(c + 1)
Let k(o) be the third derivative of -o**5/15 + 313*o**4/24 - 13*o**3 + 2*o**2 + 260*o. Determine t, given that k(t) = 0.
1/4, 78
Factor -50*x**2 + 42 + 3*x**3 + 5*x**2 + 3*x**2 - 3*x.
3*(x - 14)*(x - 1)*(x + 1)
Let z(r) = 100*r**2 + 980*r - 3430. Let x(j) = -7*j**2 - 70*j + 245. Let q(w) = 85*x(w) + 6*z(w). Factor q(p).
5*(p - 7)**2
Let q = -2153994/13 - -165484. Let m = q + 208. Factor 2/13*r**2 + 4/13*r + m.
2*(r + 1)**2/13
Let g = -471 + 471. Let m(a) be the third derivative of g*a**3 - 1/72*a**4 + 0*a - 1/1008*a**8 - 1/60*a**6 + 2/315*a**7 + 1/45*a**5 - 4*a**2 + 0. Factor m(j).
-j*(j - 1)**4/3
Let u(k) = 2*k**3 - 4*k**2 + 3*k - 2. Let p be u(2). Suppose 93*m**p + 4*m**5 - 45*m**4 - 4*m**3 - 4*m**2 - 44*m**4 = 0. Calculate m.
-1, 0, 1
Let y(s) = 8*s - 8*s - 1 - s. Suppose -2*a + 0 + 10 = 0, -3*t + 2*a - 13 = 0. Let r(p) = 2*p**4 + 2*p**3 + 5*p + 5. Let j(z) = t*r(z) - 5*y(z). Factor j(h).
-2*h**3*(h + 1)
Suppose -4 = -d + o, -2*o = 3*d + 3*o + 4. Factor 97*p**2 - 21 - 100*p**d - 54 - 30*p.
-3*(p + 5)**2
Let s(k) be the first derivative of -23*k**4/12 + 7*k**3/3 + k**2/3 + 6. Factor s(u).
-u*(u - 1)*(23*u + 2)/3
Let y be 2*18/4 + 594/(-90). What is d in 8/5*d - 24/5 + 18/5*d**2 + 2/5*d**4 - y*d**3 = 0?
-1, 2, 3
Let p(o) be the second derivative of o**7/1680 + o**6/160 + o**5/40 - o**4/3 - 9*o. Let i(y) be the third derivative of p(y). Determine m so that i(m) = 0.
-2, -1
Suppose -14*m = -15*m + 8. Let c be m - (2 + -2)/4. Suppose -c*r + 0 + 1 - 5 - 4*r**2 = 0. Calculate r.
-1
Let w(q) be the first derivative of -7*q**4 - 16*q**3 - 6*q**2 + 8*q + 54. Factor w(d).
-4*(d + 1)**2*(7*d - 2)
Find k such that 2/9*k**4 - 2/9 - 4/9*k**3 + 0*k**2 + 4/9*k = 0.
-1, 1
Let g(x) be the first derivative of -4*x**5/5 + 7*x**4 + 32*x**3/3 + 75. Let g(z) = 0. What is z?
-1, 0, 8
Suppose 52*i**3 + 12*i**4 - 14*i**4 + 68*i**3 - 354*i - 3*i**4 + 240 + 15*i**2 - 16*i = 0. Calculate i.
-2, 1, 24
Let p(r) be the third derivative of -5*r**7/42 + 139*r**6/24 - 441*r**5/4 + 7695*r**4/8 - 2430*r**3 + 19*r**2 + 16*r. Solve p(o) = 0 for o.
4/5, 9
Let f(p) be the first derivative of -2*p**5/35 + 3*p**4/28 + p**3/21 - 3*p**2/14 + p/7 - 106. Let f(m) = 0. Calculate m.
-1, 1/2, 1
Let b = 133 - 147. Let f be 39/39 - b/(-18). Factor 2/9*l**4 + 0 + 0*l - f*l**2 + 0*l**3.
2*l**2*(l - 1)*(l + 1)/9
Factor 14/15*x**2 - 2/15*x**3 + 0 - 4/5*x.
-2*x*(x - 6)*(x - 1)/15
Let l(c) be the second derivative of -3*c**6/10 + 5*c**5/4 + c**4/2 - 6*c**3 - 4*c**2 - 2*c - 13. Factor l(f).
-(f - 2)**2*(f + 1)*(9*f + 2)
Let i be ((-24)/(-30))/((-2)/15). Let l be (-64)/(-110) + ((-272)/44 - i). Factor 0*h - l*h**2 + 0 - 3/5*h**3 - 1/5*h**4.
-h**2*(h + 1)*(h + 2)/5
Find i, given that -4*i**2 + i**2 + 342 - 290974*i + 290635*i = 0.
-114, 1
Suppose -507/4*u - 39/2*u**2 - 3/4*u**3 + 0 = 0. What is u?
-13, 0
Let m be 2/4 + 7/(-14). Let g(x) be the first derivative of m*x + 8 + 1/5*x**3 + 0*x**2. Factor g(i).
3*i**2/5
Let t(g) = g**2 - 6*g - 18. Let p be t(10). Find i such that p*i**3 - 16 + 24*i - 13*i**3 - 15*i**3 + 2*i**4 - 4*i**2 = 0.
-2, 1, 2
Factor -56*o**3 - 40*o**2 + 10 + 425*o - 420*o + 81*o**3.
5*(o - 1)**2*(5*o + 2)
Suppose 39*h - 5*h + 64*h**3 - 24 - 172*h**2 - h + 16*h**4 + 84*h - h = 0. What is h?
-6, 1/2, 1
Let c = 3 + 3. Suppose f = -5*b + b + c, -4*f = -5*b + 18. Let -7*s**2 + 8*s + 8*s**4 - 22*s**2 - 3*s**b - 14*s**5 + 24*s**4 + 6*s**3 = 0. What is s?
-1, 0, 2/7, 1, 2
Suppose 2*q + 1 + 3 = 2*m, q - 7 = -2*m. Suppose -3*v = -17 - q. Factor 3*w**2 - 8 + v + 24*w + 50.
3*(w + 4)**2
Solve -13*l + 72 - 14*l + 6*l - 3*l**2 - 9*l = 0 for l.
-12, 2
Let y be (518/(-100))/(-7) - (-4)/(-8). Let v = -4/225 + y. Factor -4/9*c**2 + 0 + 2/9*c**3 + v*c.
2*c*(c - 1)**2/9
Let y be 6/(-39) + 1164/(-39). Let g be (y/(-4) - 7)*2/5. Factor g*d - 2/5 + 1/5*d**2.
(d - 1)*(d + 2)/5
Factor -16/3 + 4*g**3 - 37/3*g**2 + 14*g - 1/3*g**4.
-(g - 8)*(g - 2)*(g - 1)**2/3
Let j(x) be the second derivative of 8*x**6/105 - 29*x**5/35 - 65*x**4/21 + 12*x**3/7 - 857*x. What is o in j(o) = 0?
-2, 0, 1/4, 9
Let u(x) = 1. Let z(h) = 4*h**3 - 68*h**2 + 252*h + 304. Let g(s) = -20*u(s) - z(s). Factor g(l).
-4*(l - 9)**2*(l + 1)
Suppose 0 = -3*x - 2*x + 30. Let k be x/(-9)*(-3 + 2 - 2). Factor -1/2*j**k + 0 - j.
-j*(j + 2)/2
Solve 0 - 4/3*w**4 + 2/3*w - 20/9*w**2 + 8/3*w**3 + 2/9*w**5 = 0.
0, 1, 3
Let h(x) be the third derivative of -1/390*x**5 + 4/1365*x**7 + 0 + 1/260*x**6 + 0*x + 0*x**4 + 0*x**3 + 30*x**2. Factor h(z).
2*z**2*(z + 1)*(4*z - 1)/13
Let v(f) be the second derivative of -f**7/840 - f**6/80 - f**5/20 - f**4/12 - 3*f**2/2 - 3*f. Let r(k) be the first derivative of v(k). Factor r(s).
-s*(s + 2)**3/4
Let o(h) = -2*h**2 - 24*h + 33. Let f be o(-19). Let b = -231 - f. Factor -1/4*a**b + 0*a + 0 - 1/4*a**3.
-a**2*(a + 1)/4
Suppose -4*x - 9 - 19 = 0. Let f be (39/(-5) - x)/(1/(-2)). Factor 4/5*g + f - 4/5*g**2.
-4*(g - 2)*(g + 1)/5
Find r, given that -6/5*r**3 + 12/5 + 22/5*r + 6/5*r**2 - 2/5*r**4 = 0.
-3, -1, 2
Solve 79*i + 6*i**4 - 224*i**2 + 236*i**3 - 3*i**5 + 74*i**4 + 9*i**5 - 177*i = 0.
-7, -1/3, 0, 1
Let h = 595/3 - 198. Let i(u) be the first derivative of -9/5*u - 3/10*u**2 - 1/20*u**4 - 5 + h*u**3. Determine j so that i(j) = 0.
-1, 3
Let w(k) be the second derivative of -k**6/40 - 3*k**5/40 - k**4/16 - 64*k. Factor w(h).
-3*h**2*(h + 1)**2/4
Let a(k) = -10*k**2 - 2*k + 14. Let r(w) = w**3 - 6*w**2 + 10*w - 3. Let y be r(4). Let i(b) = -9*b**2 - b + 13. Let m(z) = y*a(z) - 6*i(z). Factor m(p).
4*(p - 2)*(p + 1)
Let x(n) = -3*n**2 + 3*n - 2. Let r be 2/10 + 693/35. Let s = -19 + r. Let v(q) = q. Let p(u) = s*x(u) + 2*v(u). Factor p(b).
-(b - 1)*(3*b - 2)
Let q(f) = 5*f**2 - 23*f - 6. Let l(z) = 2 - 78*z**2 + 8*z + 35*z**2 + 41*z**2. Let p(b) = -11*l(b) - 4*q(b). Factor p(c).
2*(c + 1)**2
Suppose -12*w = -14*w + 4. Suppose 2*j - j = -z - 1, 3*j = -w*z. Solve -3/4*v**j - 3/4*v + 3/2 = 0.
-2, 1
Factor 1/2*a**2 + 43*a + 1849/2.
(a + 43)**2/2
Let i(h) be the third derivative of h**5/30 + 2*h**4/3 + 16*h**3/3 - 13*h**2 - h. Factor i(g).
2*(g + 4)**2
Let i be (-12)/30 - (-208)/70. Let j be ((-2)/21)/(20/(-120)). Solve -10/7*n**2 - i*n**4 + 26/7*n**3 - 6/7*n + 4/7*n**5 + j = 0.
-1/2, 1, 2
Let a = 97 + -92. Suppose 2*i + a = 6*i - 5*k, 1 = -3*i - k. What is o in -2/5*o**2 + 0 + i*o + 1/5*o**4 + 1/5*o**3 = 0?
-2, 0, 1
Factor 5*y**3 + 104*y**2 + 3*y - 46*y - 6*y**3 - 60*y**2.
-y*(y - 43)*(y - 1)
Let j(r) be the first derivative of 2*r**5/45 - r**4/9 - 2*r**3/27 + 2*r**2/9 + 43. Factor j(p).
2*p*(p - 2)*(p - 1)*(p + 1)/9
Let h(t) = -t**2 - t - 1. Let q be (-6)/(-15) - (102/15)/2. Let k(v) = 7*v**2 + 10*v + 7. Let y(a) = q*k(a) - 24*h(a). Factor y(r).
3*(r - 1)**2
Let k be (-6 - 87/(-12)) + (0 - 1). Let j(r) be the first derivative of -2/3*r**3 + 0*r + 0*r**2 + k*r**4 - 6. What is c in j(c) = 0?
0, 2
Let g(u) be the first derivative of u**3/15 - 6*u**2/5 + 68. Solve g(m) = 0.
0, 12
Let j(f) be the first derivative of -2*f**3/3 + 20*f**2 + 558. Suppose j(w) = 0. What is w?
0, 20
Suppose 68*b**2 - 60*b**3 - 23*b**3 + 79*b**3 + 163*b + 192 - 419*b = 0. What is b?
1, 4, 12
Suppose 2*g + 3 = -1. Let x = 12 + g. Find i such that -x*i + 4*i + 3*i**2 + 0 - 9 + 0 = 0.
-1, 3
Let u(i) = i**2 - 15*i + 5. Let y be u(14). Let x = 11 - y. Factor 12*k**3 + 3*k**4 + x*k + 18*k**2 - 2*k**4 + 8 - 5*k**3.
(k + 1)*(k + 2)**3
Let j(f) be the first derivative of -f**9/1512 - f**8/280 - f**7/140 - f**6/180 - 2*f**3/3 + 12. Let g(n) be the third derivative of j(n). Factor g(s).
-2*s**2*(s + 1)**3
Let i(h) = 5*h**2 + 3*h - 11. Let a be i(-2). Factor 0 - 24/11*f**2 - 24/11*f**a - 6/11*f.
-6*f*(2*f + 1)**2/11
Let f(i) = 5*i**3 - 2*i + 1. Let m be f(1). Factor 27*o + 6 - 22*o + 9*o**4 - 4*o**m - 5*o**3 + 4 - 15*o**2.
5*(o - 2)*(o - 1)*(o + 1)**2
Let q(x) be the first derivativ