 Factor 0 + 8/19*d**g - 4/19*d + 14/19*d**2.
2*d*(d + 2)*(4*d - 1)/19
Let v(o) = -o**2 + 262*o + 3. Let n(f) = -4*f**2 + 1308*f + 16. Let j(k) = 3*n(k) - 16*v(k). Let j(d) = 0. Calculate d.
0, 67
Let a(r) = 0*r - r + 2*r. Let p(o) be the first derivative of -o**4/4 + 2*o**2 + 19. Let j(h) = 3*a(h) - p(h). Factor j(u).
u*(u - 1)*(u + 1)
Factor 4*n**3 - 12*n**3 - n + 2*n - 8*n**2 + 4 + 3*n + 56*n**5 - 52*n**5 + 4*n**4.
4*(n - 1)**2*(n + 1)**3
Let y be (-30)/(-160)*4 + 0. Factor 0*k**2 + y*k**3 + 0 - 3*k.
3*k*(k - 2)*(k + 2)/4
Suppose o + 2*k = -2, -5*k + 14 = 5*o - 7*k. Let u(g) be the second derivative of -3*g + 1/6*g**4 + 1/3*g**3 + 0 - 2*g**o. Factor u(i).
2*(i - 1)*(i + 2)
Let x = -1080 - -1080. Solve x + 2/3*b - 2/9*b**2 = 0.
0, 3
Let v(u) be the second derivative of 0*u**2 - 1/90*u**6 - 6*u - 1/5*u**5 + 0 - 3/2*u**4 - 2/3*u**3. Let y(l) be the second derivative of v(l). Factor y(j).
-4*(j + 3)**2
Let a(g) be the third derivative of g**8/336 - g**7/315 - 11*g**6/180 + 4*g**5/15 - 37*g**4/72 + 5*g**3/9 - 9*g**2 + 4*g. Factor a(r).
(r - 1)**4*(3*r + 10)/3
Let r be 7/(-182)*(427/(-42) + 8). What is k in r*k**2 + 2/3 - 3/4*k = 0?
1, 8
Let q(d) = d**3 + 9*d**2 + 9*d + 13. Let o be q(-10). Let a = o - -184. Find s such that -5/2*s**4 - 12*s**2 - a*s - 9*s**3 - 3/2 = 0.
-1, -3/5
Let n(b) = -b**3 + b**2 + b - 1. Let s(l) = 4*l**3 - 12*l**2 - 6*l + 14. Let c be 9/(-6) - (-18)/(-4). Let p(h) = c*n(h) - s(h). Factor p(v).
2*(v - 1)*(v + 2)**2
Suppose t - 3*y - 1 + 11 = 0, 3*y - 12 = 0. Let x(j) be the second derivative of -1/4*j**3 - 1/2*j**t + 0 - 1/24*j**4 - 4*j. Factor x(l).
-(l + 1)*(l + 2)/2
Let -20/7*x + 2/7*x**2 + 32/7 = 0. What is x?
2, 8
Let w(i) be the second derivative of -3*i**5/80 - 47*i**4/24 + 163*i**3/24 - 33*i**2/4 - 171*i - 2. Factor w(g).
-(g - 1)*(g + 33)*(3*g - 2)/4
Factor 128/7*b + 0 + 120/7*b**3 + 32*b**2 + 2/7*b**5 + 26/7*b**4.
2*b*(b + 1)*(b + 4)**3/7
Let p be 83 + -85 - (1 - -1 - 29). Solve -1/5*j**3 - 15*j - 3*j**2 - p = 0.
-5
Suppose -15 = -c - 4*c. Suppose -5*s**4 + 5*s**c + 5*s**2 - 3*s**5 - 13 + 4 - 2*s + 9 = 0. Calculate s.
-2, -1, 0, 1/3, 1
Let v = 174 + -171. Let p(t) be the second derivative of 0*t**4 + 1/126*t**7 + 3*t + 0*t**2 + 1/30*t**5 + 0*t**v - 1/30*t**6 + 0. What is w in p(w) = 0?
0, 1, 2
Suppose -3*u - 4*y + y = -24, -3*u + 3*y = 0. Factor 5*g**4 + 3*g**3 + g - u*g**4 + 3*g**2 + 0*g.
g*(g + 1)**3
Let h(p) be the second derivative of 0 + 1/50*p**5 - 7/2*p**2 + 5*p + 1/300*p**6 + 1/20*p**4 + 1/15*p**3. Let k(c) be the first derivative of h(c). Factor k(w).
2*(w + 1)**3/5
Let s be (0 + -3 + 9)*(0 - -6)/18. Determine o so that -2/25*o**s - 6/25 + 8/25*o = 0.
1, 3
Let m(j) = -3*j**3 - 97*j**2 - 2*j + 2. Let l(s) = -2*s**3 - 98*s**2 - 3*s + 3. Let a(v) = 2*l(v) - 3*m(v). Factor a(p).
5*p**2*(p + 19)
Let r(y) be the first derivative of -y**4/15 - 2*y**3/15 + 7*y - 1. Let d(s) be the first derivative of r(s). Factor d(c).
-4*c*(c + 1)/5
Let h be (0 - (-176)/24) + 6/(18/(-21)). Suppose 1/3*w**4 - h*w**2 + 2/9*w - 1/9*w**5 + 0 - 1/9*w**3 = 0. What is w?
-1, 0, 1, 2
Let f be -2 - ((-1)/(-5) - (-588)/(-140))/2. Factor 0 + 0*p**2 - 16/7*p**5 + 4/7*p**3 + f*p - 12/7*p**4.
-4*p**3*(p + 1)*(4*p - 1)/7
Let g(u) be the first derivative of 3*u**5/20 - 3*u**4/2 + 23*u**3/4 - 21*u**2/2 + 9*u - 40. Factor g(m).
3*(m - 3)*(m - 2)**2*(m - 1)/4
Let r(z) be the first derivative of -3/4*z**2 + 0*z - 3 + 1/4*z**3 + 3/16*z**4. Factor r(v).
3*v*(v - 1)*(v + 2)/4
Let c(a) be the third derivative of -a**7/1260 + a**5/60 - 7*a**4/24 + 4*a**2. Let r(g) be the second derivative of c(g). Factor r(j).
-2*(j - 1)*(j + 1)
Find o such that 128/17*o**3 + 132/17*o + 262/17*o**2 + 0 - 2/17*o**4 = 0.
-1, 0, 66
Let g(h) = -4*h - 12. Let j be g(-15). Solve -j + 24*v + 23*v**2 - 52*v**2 + 26*v**2 = 0 for v.
4
Suppose 366 + 444 = 5*p. Factor 33*n + 3 + 103*n - 2 - 17 - p*n**3 - 252*n**2.
-2*(n + 2)*(9*n - 2)**2
Suppose 2*m = -5*t + 5, 3*m = 3*t + 4*m - 2. Let s be 15 + -14 - 1*t. Suppose 0*u + 4*u**2 + 2*u + s - 5*u**2 - 3*u = 0. Calculate u.
-2, 1
Suppose 0 = 4*o + 3*k - 240, 0 = -2*k + 5*k - 12. Let q be (0/2)/(o/19). Factor -4/3*m - 8/3*m**2 - 4/3*m**3 + q.
-4*m*(m + 1)**2/3
Let f(d) be the second derivative of d**6/120 + d**5/60 + 2*d**2 - 22*d. Let o(k) be the first derivative of f(k). Find z such that o(z) = 0.
-1, 0
Let i(n) be the third derivative of n**5/60 + 5*n**4/12 + 25*n**3/6 + n**2 + 2*n. Find y, given that i(y) = 0.
-5
Let p be 2/(-12)*(-40)/(-1110). Let i = p - -680/2331. Solve 2/7*g**2 + i*g - 4/7 = 0.
-2, 1
Let n = 350 + -2785/8. Let v(l) be the first derivative of -1/4*l**3 + n*l**2 + 8 - 3*l. Factor v(o).
-3*(o - 4)*(o - 1)/4
Suppose g - 15 = -1. Suppose 6 = -2*d + g. Factor 79*u**3 - 38*u**3 - 4*u**2 + 42*u**d - 39*u**3.
2*u**2*(3*u + 1)*(7*u - 2)
Suppose 8 = 4*k, -3*h + 7*h - 5*k - 202 = 0. Let r = h + -51. Factor 0*f + 1/3 - 1/3*f**r.
-(f - 1)*(f + 1)/3
Let t(c) be the third derivative of c**6/2700 - 11*c**3/6 - 3*c**2. Let y(b) be the first derivative of t(b). Factor y(m).
2*m**2/15
Let o(d) be the first derivative of -6 + 2/5*d**5 + 2*d - 20/3*d**2 + 236/27*d**3 - 10/3*d**4. Suppose o(b) = 0. Calculate b.
1/3, 3
Let f be ((0 - 3)/(-15))/((-8)/(-40)). Let o be 6*f - (-76)/(-13). Factor 0*u**2 + o*u**4 + 0 + 4/13*u**3 + 0*u.
2*u**3*(u + 2)/13
Let t(l) be the first derivative of 6*l**3/11 - 5*l**2/11 - 8*l/11 - 352. Factor t(m).
2*(m - 1)*(9*m + 4)/11
Let f(y) be the third derivative of -8*y**3 - y**4 + 0*y + 5*y**2 + 0 - 1/20*y**5. Solve f(u) = 0 for u.
-4
Let g(a) be the third derivative of 0*a + 0*a**4 + 0*a**5 + 0*a**3 - 1/40*a**6 + 0 - 8*a**2 + 1/35*a**7 - 1/112*a**8. Factor g(w).
-3*w**3*(w - 1)**2
Let g(s) = -5*s**3 - 4. Let o(r) = -3*r**3 - r**2 - r - 3. Let i(z) = 3*g(z) - 4*o(z). Factor i(u).
-u*(u - 2)*(3*u + 2)
Factor -14*v + 4*v + v**2 + 5*v.
v*(v - 5)
Let 6/5 - 9/5*r + 3/5*r**2 = 0. What is r?
1, 2
Let q(c) = 5*c**2 - c - 1. Let s(l) = -l**3 + 755*l**2 - 187501*l + 15624999. Let g(j) = -q(j) + s(j). Factor g(y).
-(y - 250)**3
Let z be 4*3/(-30)*(-10)/6. Let h be (-1)/(-2)*-2*-2. Factor -8/3*t**h + 10/3*t - 4/3 + z*t**3.
2*(t - 2)*(t - 1)**2/3
Let g(u) be the first derivative of 1/8*u**4 + 1/4*u**2 + 0*u + 1/3*u**3 + 7. Find h, given that g(h) = 0.
-1, 0
Let k(z) = z**2 + 6*z + 7. Let d be k(-5). Let o = 93572/5 + -18713. Determine s so that -o*s**d + 0 + 1/5*s**5 - s**4 + 2/5*s + 9/5*s**3 = 0.
0, 1, 2
Let b(a) = 3*a**4 + 21*a**3 - 24*a**2. Let l(p) = p**4 + 5*p**3 - 6*p**2. Let r(v) = 4*b(v) - 15*l(v). What is y in r(y) = 0?
0, 1, 2
Suppose -6*s = -5*s - 5. Let v(w) = -2*w**2 - 7 + 0*w**2 - 2*w**2 - w. Let y(q) = -3*q**2 - q - 6. Let z(t) = s*y(t) - 4*v(t). Factor z(a).
(a - 2)*(a + 1)
Let w(v) = 2*v**3 - 4*v**2 - 12*v - 6. Let p(q) = -q**3 - q**2 - q - 1. Let f(h) = 6*p(h) + 2*w(h). Let f(j) = 0. What is j?
-3, -1
Let p(f) be the first derivative of -f**4/16 - f**3/2 - 11*f**2/8 - 3*f/2 + 69. What is o in p(o) = 0?
-3, -2, -1
Let m = 146887/5 - 29375. Factor 3/5*a**2 + m + 12/5*a.
3*(a + 2)**2/5
Let z(j) = -29*j**2 - j + 11. Let t(s) = -10*s**2 + 4. Let o(q) = 11*t(q) - 4*z(q). Let l(u) = 5*u**2 + 3*u. Let y(h) = 5*l(h) - 4*o(h). Factor y(m).
m*(m - 1)
Factor 5/4*g**5 - 9/2*g**4 - 3/4*g - 2*g**2 + 1/2 + 11/2*g**3.
(g - 1)**4*(5*g + 2)/4
Let 2/9*q**2 - 14/9*q - 16/9 = 0. What is q?
-1, 8
Let f(i) be the first derivative of -4*i**2 - 5*i**4 + 10 + 10/7*i**5 + 8/7*i + 46/7*i**3. Suppose f(x) = 0. Calculate x.
2/5, 1
Let y(o) = 2*o**2 - 2*o. Let m be y(2). Let k be (-22)/(-14) - 3/(-7). Factor 0*c**4 - c**3 - c**5 + 5*c - 3*c**k - 3*c + 3*c**m.
-c*(c - 2)*(c - 1)**2*(c + 1)
Let t be (-212)/72 + (-4)/(-12)*9. Let h(g) be the third derivative of -t*g**4 + 0*g + 2*g**2 - 2/9*g**3 - 1/180*g**5 + 0. Factor h(s).
-(s + 2)**2/3
Solve -5459*y - y**2 + 5459*y = 0.
0
Let r(w) = -4*w**4 - 38*w**3 + 4*w**2 + 20*w - 9. Let t(f) = f**4 + 9*f**3 - f**2 - 5*f + 2. Let q(u) = -4*r(u) - 18*t(u). Factor q(l).
-2*l*(l - 1)*(l + 1)*(l + 5)
Factor 16/5*v**2 + 0*v + 9/5*v**4 - 1/5*v**5 + 0 - 24/5*v**3.
-v**2*(v - 4)**2*(v - 1)/5
What is k in 1/6*k**2 + 1/3*k - 4/3 = 0?
-4, 2
Find y such that -47*y**2 - 7*y**2 - 2738 - 115*y**2 - 43*y**2 - 12*y**2 + 3*y**3 + 4255*y = 0.
2/3, 37
Let z(t) be the first derivative of -3*t**5/35 + 3*t**4/7 - 24*