a**2 + 0*a + 5*a**3 + 0*a.
5*a**2*(a - 3)
Determine h so that -236/5*h**2 - 2/5*h**4 - 338/5 - 624/5*h + 48/5*h**3 = 0.
-1, 13
Let w(b) = -b**3 - 4*b**2 - 2*b + 7. Let x be w(-3). Let q(a) be the second derivative of 0*a**2 - 1/5*a**5 - 8/3*a**3 + 0 + 6*a + 4/3*a**x. Factor q(f).
-4*f*(f - 2)**2
Let c(v) be the first derivative of 5*v**6/6 - v**5 - 5*v**4/2 + 10*v**3/3 + 5*v**2/2 - 5*v + 95. Factor c(t).
5*(t - 1)**3*(t + 1)**2
Let u(l) = 2*l**2 + 5*l + 5. Let o = -15 - -17. Let f(w) = 2*w**2 - w**2 + 3*w + 0*w + 1 + o. Let s(p) = -10*f(p) + 6*u(p). Find a such that s(a) = 0.
0
Find x such that 144/5*x - 48/5*x**4 + 16/5*x**2 - 108/5*x**3 - 4/5*x**5 + 0 = 0.
-9, -2, 0, 1
Let d(a) = -15*a + 303. Let b be d(20). Suppose 3/5*q**5 - 6*q**2 + b*q - 3/5 - 3*q**4 + 6*q**3 = 0. What is q?
1
Let m(t) be the first derivative of t**6/51 - 86*t**5/85 + 197*t**4/17 + 2900*t**3/51 + 1541*t**2/17 + 1058*t/17 + 28. Factor m(c).
2*(c - 23)**2*(c + 1)**3/17
Factor -11*a - 21/2 - 1/2*a**2.
-(a + 1)*(a + 21)/2
Let b(a) = -17*a**3 - 130*a**2 - 7*a - 7. Let g(p) = 8*p**3 + 65*p**2 + 3*p + 3. Let s(i) = -3*b(i) - 7*g(i). Suppose s(y) = 0. Calculate y.
-13, 0
Let b = -655 + 126. Let f = 2653/5 + b. Suppose f - 8/5*k + 2/5*k**2 = 0. What is k?
2
Let b = -155 - 23. Let l = 178 + b. Solve l + 6/13*f**4 + 4/13*f**3 + 4/13*f - 14/13*f**2 = 0.
-2, 0, 1/3, 1
Let x be (-73)/(-15) + ((-128)/(-60) - 2). Suppose -5*a = t + x, 3*t + 10 = -3*a - 5. Let -3/8*c + 3/4*c**2 + 0*c**3 - 3/4*c**4 + 3/8*c**5 + a = 0. What is c?
-1, 0, 1
Let z = -30959/588 + 2640/49. Let s = z + -13/12. Factor 2/7*j - s*j**2 - 1/7.
-(j - 1)**2/7
Let g(h) be the first derivative of -5/2*h**2 - 15/4*h**4 + 2 + 0*h + h**5 + 5*h**3. Factor g(o).
5*o*(o - 1)**3
Let h(j) be the first derivative of -16*j**4 + 928*j**3/3 + 238*j**2 + 60*j + 204. Factor h(i).
-4*(i - 15)*(4*i + 1)**2
Let v(p) be the second derivative of -3*p - 1/15*p**4 + 4/5*p**2 + 0 - 2/15*p**3. Find x, given that v(x) = 0.
-2, 1
Factor 9 + 5*i**5 + 2*i**5 + 62*i - 206*i - 30*i**4 + 8*i**3 + 112*i**2 + 19 + 4.
(i - 2)**3*(i + 2)*(7*i - 2)
Let f(u) = -7*u**2 + 150*u - 143. Let w(m) = 15*m**2 - 300*m + 285. Let r(h) = 5*f(h) + 2*w(h). Find x such that r(x) = 0.
1, 29
Let t(z) = -z**2 + 3*z. Let g be -6 + 7 - (-1 + -1). Suppose -6 = -q - 4*y - 0, 0 = g*q - 2*y - 4. Let r(w) = 1. Let b(f) = q*r(f) - t(f). Factor b(c).
(c - 2)*(c - 1)
Let h(y) = -10*y**3 + 505*y**2 + 710*y + 305. Let b(j) = -j**3 + 56*j**2 + 79*j + 34. Let d(i) = 55*b(i) - 6*h(i). Factor d(n).
5*(n + 1)**2*(n + 8)
Let c(i) be the first derivative of 4*i**5 + 2*i**4 - 20*i**3 + 8*i**2 + 16*i - 153. Factor c(q).
4*(q - 1)**2*(q + 2)*(5*q + 2)
Let g be 0 - 15/(-2 - 1). Let u = -3 + g. Factor 6*x - 3*x + x**2 - 2 + 2*x**2 - u*x.
(x + 1)*(3*x - 2)
Let n = 87660/7 + -12522. Find q such that 6/7 - 2/7*q + 2/7*q**3 - n*q**2 = 0.
-1, 1, 3
Let x(a) be the first derivative of -a**5/5 + 5*a**4 - 33*a**3 - 10*a**2 + 100*a + 46. Solve x(y) = 0.
-1, 1, 10
Suppose 0 = -3*p + p + 8. Let v be (p - 1) + -7 + 7. Factor -20 - 6*c**v + 3*c**4 + 20 + 3*c**2.
3*c**2*(c - 1)**2
Let m(p) be the second derivative of -p**5/20 + 11*p**4/4 - 48*p**3 + 128*p**2 - p + 194. Find c such that m(c) = 0.
1, 16
Let d = 21 - 7. Suppose 4*q = -3*n + d, -5*q = 3*n - 2 - 11. Find o such that n*o**3 + 4*o**5 + 6*o**3 - 20*o**3 + 4*o = 0.
-1, 0, 1
Let t(h) be the first derivative of 3/10*h**2 + 33/20*h**4 - 50 - 3/5*h**5 - 7/5*h**3 + 0*h. Find r such that t(r) = 0.
0, 1/5, 1
Suppose -j = 25*j - 52. Let t be (0/(-9))/(1*-2). Factor -3/4*x - 3/4*x**j + t.
-3*x*(x + 1)/4
Suppose 2*u + 0*u - 1 = o, 0 = -4*o + 4*u + 8. Let g(k) be the second derivative of 1/18*k**3 - 1/36*k**4 + 1/6*k**2 + 0 - 1/60*k**o - 4*k. Factor g(t).
-(t - 1)*(t + 1)**2/3
Determine i, given that 1/4*i**4 - 1/2*i - 1/4 + 1/2*i**3 + 0*i**2 = 0.
-1, 1
Let g(t) be the second derivative of t**7/105 + t**6/75 - 19*t**5/50 + 11*t**4/30 + 2*t**3 + 77*t. What is x in g(x) = 0?
-5, -1, 0, 2, 3
Let y = 28/1175 + 1007/7050. Find i, given that 0 + y*i**2 - 1/6*i**3 + 1/3*i = 0.
-1, 0, 2
Let h(d) = -29*d**5 - 16*d**4 + 29*d**3 + 16*d**2 + 4*d + 4. Let q(a) = a**5 - a**4 - 2*a**3 + a**2 - 1. Let f(i) = -h(i) - 4*q(i). Let f(s) = 0. What is s?
-1, -2/5, 0, 1
Let b(y) = 2*y + y**2 - 2*y**2 + 2*y**2 + 1 + 0*y. Let x be b(-1). Factor -4*f**2 + x*f**2 + 6 - 2*f**2 + 3*f**2 + 3*f.
-3*(f - 2)*(f + 1)
Suppose h = -4*r + 138, -h = 4*h + 10. Determine f, given that -4 + 82*f**3 - 6*f - 45*f**3 - r*f**3 = 0.
-1, 2
Let b = -90 + 95. Let n be (8 - (-8)/(-2))/b. Factor -2/5*y**3 - n*y + 0 - 6/5*y**2.
-2*y*(y + 1)*(y + 2)/5
Let h = -22 + -39. Let i = h + 61. Find s, given that -8/13*s + i + 2/13*s**2 = 0.
0, 4
Factor -x**5 - 16*x**4 + 34*x - 73*x**3 + 16*x**2 - 7*x**3 + 17*x**3 + 30*x.
-x*(x - 1)*(x + 1)*(x + 8)**2
Let j = -42 + 44. Solve 15*l**j - 37*l**2 + 6*l - 3*l**3 + 19*l**2 = 0.
-2, 0, 1
Factor -2/5*j**3 - 2/5 - 6/5*j - 6/5*j**2.
-2*(j + 1)**3/5
Let u(w) be the third derivative of 0 + 0*w**5 + 0*w**3 + 0*w + 3*w**2 + 0*w**7 + 1/84*w**8 - 17/480*w**6 + 1/96*w**4. Find c such that u(c) = 0.
-1, -1/4, 0, 1/4, 1
Find b such that 32 - 214*b + 106*b - 4*b**2 + 100*b = 0.
-4, 2
Let -453510 + 29604*p**3 - 704*p**4 - 999219 + 8608*p - 2003271 + 10732*p**3 + 4*p**5 - 694080*p**2 - 3291808*p = 0. What is p?
-2, 60
Factor 10*z**4 + 240*z**3 - 450*z**3 + 10*z + 35*z**2 + 245*z**3.
5*z*(z + 1)*(z + 2)*(2*z + 1)
Let g be (688/(-40))/((-3)/(-5)). Let o = g + 29. Find z, given that -o*z**4 + 1/3*z - z**2 + 0 + z**3 = 0.
0, 1
Let z(m) be the third derivative of -m**5/12 - 485*m**4/12 - 47045*m**3/6 + 543*m**2. Determine k so that z(k) = 0.
-97
Determine r so that -20*r + r**5 - 160*r**2 - 37*r**5 + 64 - 60*r + 120*r**4 + 140*r**3 = 0.
-1, 2/3, 4
Let j(v) be the second derivative of -980*v**6/3 - 994*v**5 - 1727*v**4/2 - 142*v**3/3 - v**2 - 2*v - 49. Let j(p) = 0. What is p?
-1, -1/70
Let n = 85 + -82. Suppose 0 = 5*w + n*w. Determine q, given that -2/5*q**4 + 2/5*q + w + 2/5*q**2 - 2/5*q**3 = 0.
-1, 0, 1
Let x(h) be the first derivative of -h**6/6 - 2*h**5/5 + h**4 + 2*h**3/3 - 3*h**2/2 - 300. Determine j, given that x(j) = 0.
-3, -1, 0, 1
Let p(z) = 10*z**4 - 36*z**3 + 200*z**2 - 264*z + 8. Let y(x) = -x**4 - x**2 + x - 1. Let r(g) = p(g) + 8*y(g). Factor r(h).
2*h*(h - 8)**2*(h - 2)
Let t be 550/80 + -7 - 8/(-64). Factor -2/9*w + 1/9*w**5 + 1/3*w**4 + t + 1/9*w**3 - 1/3*w**2.
w*(w - 1)*(w + 1)**2*(w + 2)/9
Suppose 33*u - 26*u - 14 = 0. Factor 18*o + 20 + o**3 - 15*o**u + 2*o - 10*o**3 - 5*o**4 - 11*o**3.
-5*(o - 1)*(o + 1)*(o + 2)**2
Let v(w) be the second derivative of -w**8/2100 + w**7/350 - w**6/225 - w**3 + 7*w. Let j(o) be the second derivative of v(o). Factor j(f).
-4*f**2*(f - 2)*(f - 1)/5
Let y(r) = 5*r**3 + 36*r**2 + 4*r + 8. Let s(a) = a**2 - a - 2. Let p(b) = -4*s(b) - y(b). Factor p(l).
-5*l**2*(l + 8)
Let f(u) = 4*u**4 - 4*u**3 + 26*u**2 - 35*u + 9. Let y(o) = -9*o**4 + 6*o**3 - 51*o**2 + 71*o - 17. Let b(j) = 7*f(j) + 3*y(j). Let b(x) = 0. Calculate x.
1, 2, 6
Let d(i) be the second derivative of i**5/20 + 2*i**4/3 + 10*i**3/3 + 8*i**2 - i + 210. Solve d(u) = 0.
-4, -2
Suppose 5*g - 40 = -3*d, 5*g - 2*d = -0*g + 40. Factor -6*v**2 - 10 - g + 10*v**2 + 2.
4*(v - 2)*(v + 2)
Let u(f) = -2*f - 3*f + 1 - 2*f + f**2 + 5*f. Let m(s) = -2*s**2 + 2*s - 2. Let a(i) = -2*m(i) - 3*u(i). Factor a(k).
(k + 1)**2
Factor 0 + 0*a**2 - 2/5*a + 2/5*a**3.
2*a*(a - 1)*(a + 1)/5
Let m(a) be the first derivative of a**6/12 + 3*a**5/10 - 17. Factor m(j).
j**4*(j + 3)/2
Let q be 1/(4/(-16)) - -8. Let t(v) be the first derivative of -10 - 3*v + 5*v**2 + q*v + 2*v + v**3. Factor t(l).
(l + 3)*(3*l + 1)
Let n(d) = -d + 14. Let a(b) = -6*b + 41. Let j be a(5). Let z be n(j). Solve -2/3*q + 3*q**4 + 2/3*q**z - 3*q**2 + 0 = 0.
-1, -2/9, 0, 1
Let v(s) = -s**4 + 2*s. Let m(h) = 4*h**4 - 14*h**3 + 48*h**2 - 24*h - 81. Let u(o) = -m(o) - 3*v(o). Factor u(i).
-(i - 9)*(i - 3)**2*(i + 1)
Let p be 4/42*((-71)/(-142))/((-12)/(-56)). Factor p*k**2 + 0*k + 0.
2*k**2/9
Let 0 - 3/4*w**2 + 0*w + 1/4*w**3 = 0. Calculate w.
0, 3
Let f be (1 - (-2)/(-4))*6. Let q**f + 8*q**4 + q**3 - 4*q**5 - q - 2*q**4 + 3*q - 6*q**2 = 0. What is q?
-1, 0, 1/2, 1
Factor -22*k**2 + 4*k**2 + 172*k**3 - 6*k**2 + 172*k**3 - 12*k + 144 - 347*k**