 Suppose p(r) = 0. Calculate r.
-1, 3
Suppose 3*a = -4*y + 26, 2*y + 2 = 3*a + 6. Suppose -j = -y*j + 16. Let -72*r**2 - 30*r - 3 + 14*r**3 - 14*r**3 + 22*r**3 + 8*r**3 + 75*r**j = 0. Calculate r.
-1, -1/5, 1
Let n(t) be the first derivative of -2*t**5/65 + t**4/13 + 2*t**3/13 - 8*t**2/13 + 8*t/13 + 83. Suppose n(v) = 0. Calculate v.
-2, 1, 2
Solve -2/7*y**3 + 6/7*y**2 - 6/7 + 2/7*y = 0 for y.
-1, 1, 3
Solve -12/5*f**5 - 3888/5 + 357/5*f**4 + 12069/5*f**2 - 3474/5*f**3 - 12312/5*f = 0 for f.
-1/4, 3, 12
Let b(i) be the third derivative of i**8/112 - i**7/35 - i**6/5 - 40*i**2. Factor b(w).
3*w**3*(w - 4)*(w + 2)
Suppose 3*p + 9 = -d, -3*p - 9 = -191*d + 186*d. What is l in 0 + d*l + 2/11*l**2 = 0?
0
Suppose -34 + 358 = 27*m. Factor -2*y**2 + m + 50/3*y.
-2*(y - 9)*(3*y + 2)/3
Suppose -25 = 4*b - 13. Let z be (-20)/(-21) + (18/21)/b. Determine v so that 1/2*v**2 - 1/6*v - z*v**5 + 0 - 1/2*v**4 + 5/6*v**3 = 0.
-1, 0, 1/4, 1
Let 8/5 - 12*y**3 - 8/5*y**2 + 12*y = 0. What is y?
-1, -2/15, 1
Let o(y) = -4*y**3 + 135*y**2 - 131*y - 60. Let h(p) = -2*p**3 + 67*p**2 - 65*p - 36. Let n(t) = 5*h(t) - 3*o(t). Find q such that n(q) = 0.
0, 1, 34
Let q(o) be the second derivative of -2*o**7/21 + 2*o**6/3 + 11*o**5/5 - 37*o**4/3 - 164*o**3/3 - 80*o**2 + o + 30. What is i in q(i) = 0?
-2, -1, 4, 5
Let b(t) = t**3 + t. Suppose -2*g = x - 2, -2*g - x + 2 = -2*x. Let r(w) = w**3 - 20*w**2 - 14*w. Let c(l) = g*r(l) - 6*b(l). Factor c(a).
-5*a*(a + 2)**2
Let j(y) = y**3 + 30*y**2 - 40*y. Let u(t) be the first derivative of t**4/4 + 17. Let i(q) = -j(q) + 6*u(q). What is a in i(a) = 0?
0, 2, 4
Let g(h) = -h**2 + h - 1. Let y(j) = 10 + 6 - 12 - 2*j + 5*j**2. Let s(u) = 20*g(u) + 5*y(u). What is w in s(w) = 0?
-2, 0
Let m(g) be the second derivative of -2*g**6/15 + g**5/5 + g**4/3 - 2*g**3/3 - 186*g. Let m(n) = 0. Calculate n.
-1, 0, 1
Let h = 23 + -23. Let d = -4729 - -4732. Factor -1/2*g**2 + 1/6*g**d + 0 + h*g.
g**2*(g - 3)/6
Let b(k) be the first derivative of 27*k**4/4 + 291*k**3 + 564*k**2 + 372*k - 955. Factor b(i).
3*(i + 31)*(3*i + 2)**2
Factor -4*a**3 + 2*a**4 + 78*a**3 - 13*a**3 - 27*a**2 + 144 - 31*a**3 + 264*a + 175*a**2.
2*(a + 1)*(a + 2)*(a + 6)**2
Let d(m) be the first derivative of 2*m**5/35 + m**4/14 - 2*m**3/21 - m**2/7 - 65. Factor d(b).
2*b*(b - 1)*(b + 1)**2/7
Let u be (-6)/8 + 50/(-40). Let l be 1/u*5/((-10)/12). Determine k so that 1/9*k**2 - 1/9*k**l - 1/9*k**4 + 0 + 1/9*k = 0.
-1, 0, 1
Let o(g) be the second derivative of 3*g**8/2240 + g**7/224 - g**6/240 + 7*g**3 - 19*g. Let j(s) be the second derivative of o(s). Determine q so that j(q) = 0.
-2, 0, 1/3
Let s(c) = c**5 - c**4 + 12*c**3 + 7*c**2 + 7*c + 7. Let y = -14 - -10. Let b(r) = -4*r**3 - 2*r**2 - 2*r - 2. Let x(l) = y*s(l) - 14*b(l). Factor x(n).
-4*n**3*(n - 2)*(n + 1)
Let a(o) = 4*o**4 + 6*o**3 - 46*o**2 + 54*o - 19. Let u = 81 - 82. Let i(x) = -x**4 + x**3 - x**2 - x + 1. Let y(r) = u*i(r) + a(r). Let y(s) = 0. What is s?
-4, 1
Let u(x) be the third derivative of x**5/90 - 7*x**4/12 + 20*x**3/9 - 291*x**2. Factor u(y).
2*(y - 20)*(y - 1)/3
Let s(l) = -7*l**2 + 353*l + 347. Let m(o) = -3*o**2 + 177*o + 174. Let g(y) = 13*m(y) - 6*s(y). Factor g(k).
3*(k + 1)*(k + 60)
Let h = 30 - 27. Solve 22*g**4 - 32*g**2 - 2*g**h + 72 - 192*g - 25*g**3 - 67*g**3 + 226*g**2 - 2*g**5 = 0 for g.
1, 2, 3
Factor 2*o**2 - 3 - 1/2*o**3 - 1/2*o.
-(o - 3)*(o - 2)*(o + 1)/2
Let t(q) = q**2 - 2*q - 1. Let n(d) = -19*d**2 - 122*d - 46. Let r(w) = n(w) - 6*t(w). Let r(s) = 0. Calculate s.
-4, -2/5
Let s(f) be the third derivative of f**5/40 + 5*f**4/32 + f**3/4 - 95*f**2. Solve s(p) = 0 for p.
-2, -1/2
Factor -640*h + 512 - 80*h**3 + 320*h**2 + 10*h**4 - 1/2*h**5.
-(h - 4)**5/2
Let f be ((-5)/2)/((-51)/102). Let m(y) be the second derivative of 1/14*y**7 + 0*y**f + 0 - 1/2*y**3 - 1/5*y**6 + 1/2*y**4 - 6*y + 0*y**2. Factor m(q).
3*q*(q - 1)**3*(q + 1)
Let o(r) be the first derivative of -2*r**3/27 + 8*r**2/3 - 46*r/9 - 105. Suppose o(u) = 0. What is u?
1, 23
Let v = 149/2910 - -3/194. Let j(n) be the first derivative of 1 + 0*n + 0*n**4 - 4/15*n**3 + v*n**6 + 4/25*n**5 - 1/5*n**2. Suppose j(m) = 0. Calculate m.
-1, 0, 1
Let f(s) = 2*s**2 - 5. Let i be f(4). Suppose g = 4*g - i. Factor 3*k**3 + 2*k**4 - g*k**2 + k**2 + 3*k**3 - 3*k**4 + 9 - 6*k.
-(k - 3)**2*(k - 1)*(k + 1)
Let d = -219 - -214. Let b be (-2094)/(-399) + d + (-2)/14. Factor 0*c + 0*c**3 + 0 + b*c**5 + 0*c**2 + 0*c**4.
2*c**5/19
Let b(x) be the first derivative of 2*x**3/21 + 268*x**2/7 + 35912*x/7 - 267. Factor b(m).
2*(m + 134)**2/7
Let r be 8/(-4 - -6) - 2. Let g(p) be the first derivative of 1/3*p**3 - 1/2*p**2 + r + 0*p. Factor g(j).
j*(j - 1)
Let k be 2/5 - (-1)/10. Suppose -27*s - 60 = -57*s. Factor -k - 1/2*l**s - l.
-(l + 1)**2/2
Let g(p) be the third derivative of p**6/36 - 23*p**5/90 + 3*p**4/4 - p**3 - p**2 - 28*p. Factor g(f).
2*(f - 3)*(f - 1)*(5*f - 3)/3
Let d(r) = -5*r**2 - 15*r - 5. Let c(y) = 5*y**2 + 16*y + 5. Let a(k) = 5*c(k) + 6*d(k). What is j in a(j) = 0?
-1
Factor 8/13*r**4 + 0 + 64/13*r**2 + 56/13*r**3 - 2/13*r**5 + 0*r.
-2*r**2*(r - 8)*(r + 2)**2/13
Let y(o) = -o**3 - 17*o**2 + 93*o + 1581. Let f be y(-17). Factor -3/2*x**2 + f*x**3 - x + 0 + 1/2*x**4.
x*(x - 2)*(x + 1)**2/2
Let l(n) be the first derivative of -4*n**3/3 + 34*n**2 - 64*n + 10. Solve l(j) = 0 for j.
1, 16
Factor -75/2 - 215/2*g - 23*g**3 - 293/3*g**2 - 1/6*g**5 + 9/2*g**4.
-(g - 15)**2*(g + 1)**3/6
Let t = -5 + 7. Suppose 3*w - 2*w = t. Solve -9/5*o**w + 3*o - 6/5 - 3/5*o**3 + 3/5*o**4 = 0.
-2, 1
Let u(i) be the third derivative of -85*i**5/12 - 845*i**4/24 + 5*i**3/3 - 16*i**2 + 2. Suppose u(w) = 0. What is w?
-2, 1/85
Factor -18*c**2 + 455*c**3 - 6*c + 14*c + 12*c - 457*c**3.
-2*c*(c - 1)*(c + 10)
Let i(l) be the third derivative of l**8/100800 - l**7/12600 + 3*l**5/20 + 16*l**2. Let x(v) be the third derivative of i(v). Solve x(m) = 0.
0, 2
Let s(n) be the third derivative of n**6/960 - 17*n**5/160 + 289*n**4/64 - 4913*n**3/48 - 7*n**2 - 14. Factor s(y).
(y - 17)**3/8
Let m be 6/(-2)*7/(84/(-12)). Let u(d) be the second derivative of 1/6*d**5 - 1/6*d**4 - 1/45*d**6 + 0*d**3 + 0*d**2 + 0 - 1/63*d**7 - m*d. Factor u(q).
-2*q**2*(q - 1)**2*(q + 3)/3
Let m(d) = -d + 8. Let a be m(6). Suppose -3 = y - 0*y, 3*h = -4*y + 12. Factor -h*c**a + 4 - 14 - 8*c + 8.
-2*(2*c + 1)**2
Let r(d) be the third derivative of 0*d**3 + 0 - 1/12*d**5 + 0*d - 10*d**2 + 5/24*d**4. Factor r(c).
-5*c*(c - 1)
Factor z**2 - 2*z**3 - z**4 - 2*z**3 - 5*z - z + 10*z**3.
-z*(z - 6)*(z - 1)*(z + 1)
Let j(d) be the third derivative of -1/80*d**5 + 0 - 4/3*d**3 - 1/720*d**6 + 0*d + 12*d**2 - 1/24*d**4. Let t(q) be the first derivative of j(q). Factor t(m).
-(m + 1)*(m + 2)/2
Let u = -16 + 18. Factor 1 - 38*t + t**2 - u*t**2 + 37*t + t**3.
(t - 1)**2*(t + 1)
Let z = -302 + 307. Let f(q) be the third derivative of 0 - 1/48*q**4 - 1/30*q**z - 1/105*q**7 - 1/672*q**8 - 1/40*q**6 + 0*q**3 + 3*q**2 + 0*q. Solve f(j) = 0.
-1, 0
Let k(n) = -31*n**3 - 3*n**2 - n + 1. Let a be k(-1). Factor 27*c - a*c**2 + 6 - 3*c - 102*c**2 + 10 - 70*c**3.
-2*(c + 2)*(5*c - 2)*(7*c + 2)
Let t(q) be the first derivative of -20*q**3/3 - 20*q**2 - 100*q + 6. Let i(x) = -x**2. Let c(n) = 16*i(n) - t(n). Factor c(h).
4*(h + 5)**2
Let f(z) = -3*z**2 - 9*z - 12. Let v(q) = -3*q**2 - 8*q - 10. Let g(a) = 5*f(a) - 6*v(a). Factor g(i).
3*i*(i + 1)
Let t be (-4)/(2*3/(-3)). Suppose -2*k + 4 = -t. Factor 0 - 1 - k*x + 4 - x**2 + 1.
-(x - 1)*(x + 4)
Let u(w) = 5*w**2 + 10*w + 13. Let q(n) be the third derivative of 7*n**5/30 + 29*n**4/24 + 19*n**3/3 - 13*n**2. Let x(v) = 4*q(v) - 11*u(v). Factor x(t).
(t + 3)**2
Let 2/3*t - 19/3*t**2 - 77/3*t**5 + 139/3*t**4 + 0 - 15*t**3 = 0. Calculate t.
-2/7, 0, 1/11, 1
Let k = 12019/1425 + -160/19. Let m(x) be the third derivative of 2/15*x**3 - k*x**5 + 0*x + 0 - 3*x**2 + 1/300*x**6 - 1/60*x**4. Factor m(p).
2*(p - 2)*(p - 1)*(p + 1)/5
Let d(b) be the second derivative of -1/36*b**3 - 1/72*b**4 - b + 1/6*b**2 + 0. Suppose d(u) = 0. Calculate u.
-2, 1
Let v(c) be the first derivative of c**6/21 + 17*c**5/35 + 37*c**4/28 + c**3/3 - 15*c**2/14 + 84. Determine k so that v(k) = 0.
-5, -3, -1, 0, 1/2
Let w(a) = a**2 + 63*a - 15. Let l(u) = -15. Let c(i) = -l(i) + w(i). Factor c(o).
o*(o + 6