(v) = 3*v**4 - 6*v**3 - 15*v**2 + 18*v + 12. Let s(f) = f**2 - f - 1. Let n(q) = -12*s(q) - z(q). Factor n(i).
-3*i*(i - 2)*(i - 1)*(i + 1)
Let n be ((-6)/90)/(20/(-240)). Let m(u) be the first derivative of -1 + 2*u**2 + 0*u + n*u**5 - 4/3*u**3 - u**4. Factor m(p).
4*p*(p - 1)**2*(p + 1)
Suppose -15*y + 10*y**2 + 4*y**2 + 0*y**2 + y**3 = 0. Calculate y.
-15, 0, 1
Suppose 0 = -5*m + 6 + 24. Suppose 2*d = 4*p - 0*d - 16, 0 = p + 2*d + m. Factor b**2 - p + 4*b + b**2 - 4*b**2.
-2*(b - 1)**2
Let b(z) be the second derivative of -4*z**2 + 0 + 2*z**3 - 2*z - 1/3*z**4. Suppose b(h) = 0. What is h?
1, 2
Let x = 106 + -740/7. Let a = 5675 - 5673. What is f in -2/7*f + 4/7*f**a + 0 - x*f**3 = 0?
0, 1
Let j(a) be the second derivative of -a**6/10 - 9*a**5/10 - 9*a**4/4 - 2*a**3 + 51*a. Determine z, given that j(z) = 0.
-4, -1, 0
Let h(z) be the second derivative of 1/150*z**6 + 0 + 0*z**2 + 1/50*z**5 - 1/15*z**3 - 1/60*z**4 - 6*z. Solve h(g) = 0.
-2, -1, 0, 1
Suppose -1 = b - 3. Factor b*v**5 - 4*v**4 + v**5 + 0*v**4 + 7*v**4 - 3*v**3 - 3*v**2.
3*v**2*(v - 1)*(v + 1)**2
Let v(n) = -6*n**4 - 32*n**3 - 70*n**2 - 62*n - 18. Let g(y) = 7*y - 30. Let w be g(4). Let f(h) = -h**4 + h**2 + h + 1. Let s(d) = w*f(d) + v(d). Factor s(b).
-4*(b + 1)**3*(b + 5)
Factor 2892*i**2 + 176/15*i**4 + 3600 + 5042/15*i**3 - 6840*i + 2/15*i**5.
2*(i - 1)**2*(i + 30)**3/15
Let z = -37 - -75. Let i = z - 35. Factor 0 + 2/7*u - 2/7*u**i + 0*u**2.
-2*u*(u - 1)*(u + 1)/7
Let z(n) be the second derivative of 1/108*n**4 + 0*n**2 + 1/54*n**3 + 7*n + 0. Find p such that z(p) = 0.
-1, 0
Let d = 2509 - 5017/2. Determine p so that d*p**2 + 0 + 0*p - 1/2*p**3 = 0.
0, 1
Let r(z) be the first derivative of 4*z**5 + 157*z**4 + 248*z**3/3 - 503. Determine m so that r(m) = 0.
-31, -2/5, 0
Let a(c) = 2*c**2 + 17*c - 7. Let v be a(-12). Factor -57*o**4 - 3*o**2 + 16*o**3 - o**2 + v*o**4.
4*o**2*(o + 1)*(5*o - 1)
Let h(g) be the first derivative of -g**6/1260 - g**5/42 - 26*g**3/3 + 26. Let p(y) be the third derivative of h(y). Factor p(t).
-2*t*(t + 10)/7
Let k(g) be the first derivative of -1/3*g**2 + 2/9*g**3 - 4 - 6*g - 1/18*g**4. Let l(c) be the first derivative of k(c). Factor l(q).
-2*(q - 1)**2/3
Factor 8/3 + 2/3*r**2 + 10/3*r.
2*(r + 1)*(r + 4)/3
Let h = -2423 + 2426. Let b(m) be the third derivative of 1/24*m**4 + 1/20*m**6 + 1/15*m**5 + 1/336*m**8 + 0 + 0*m**h + 0*m + 2/105*m**7 + 8*m**2. Factor b(d).
d*(d + 1)**4
Let v = -80627/9 + 8959. Factor 0*n + 16/9 - v*n**2.
-4*(n - 2)*(n + 2)/9
Let c = 887 + -883. Let y(z) be the third derivative of 0 - 3*z**2 - 1/12*z**5 + 1/120*z**6 + 0*z**c + 0*z**3 + 0*z. What is x in y(x) = 0?
0, 5
Factor -4*l**2 - 4*l**3 - 14*l**2 - 2*l - 6*l**2 + 33*l**2.
-l*(l - 2)*(4*l - 1)
Let n(p) = -25*p**3 + 10*p**2 + 25*p. Let f(d) = 8*d**3 - 3*d**2 - 8*d. Let x be 6/9*(-2 + 34/2). Let k(o) = x*f(o) + 3*n(o). Factor k(m).
5*m*(m - 1)*(m + 1)
Let z be (6/9)/((8/(-153))/(-4)). What is h in 3*h - 7*h**2 + 28*h**2 + 27*h**3 - z*h**3 = 0?
-1/8, 0, 1
Let n = 1288 + -23183/18. Let h(d) be the second derivative of -1/90*d**6 - 1/20*d**5 - n*d**4 + 0*d**2 + 8*d + 0*d**3 + 0. Let h(y) = 0. Calculate y.
-2, -1, 0
Let z be ((-2)/(-24))/((-14)/(-68)). Let p = z + -1/14. Suppose 1/3*t**4 + 0*t - p*t**3 + 0 + 0*t**2 = 0. What is t?
0, 1
Let l be ((-3)/(-1))/(-1) - 362. Let d = l - -2563/7. Factor 8/7*q**3 - d*q**4 + 4/7*q**2 - 10/7*q + 4/7 + 2/7*q**5.
2*(q - 2)*(q - 1)**3*(q + 1)/7
Let r(b) = 2*b**2 + 2*b + 4. Let z be r(-2). Let g be (-10)/25 + z/10. Factor 2/5*y + 0*y**2 - g*y**3 + 0.
-2*y*(y - 1)*(y + 1)/5
Let r = -186 - -171. Let d be (48/(-1320))/(((-1)/r)/(-1)). Suppose -d*u**2 - 2/11*u**3 + 0*u + 8/11 = 0. What is u?
-2, 1
Let c(g) = g**3 - 5*g**2 + 4*g. Let k be c(4). Suppose k*y - 3*y = -9. Suppose -22*n - 5*n + 6*n**5 + 11 + 39*n**2 - 15*n**y - 5 - 9*n**4 = 0. What is n?
-2, 1/2, 1
Determine h, given that -1200*h**4 + 138 + 5*h**5 - 2560000*h**2 + 96000*h**3 - 89 - 49 = 0.
0, 80
Let l(h) = -31*h**3 - 62*h**2 + 123*h - 34. Let i(z) = -370*z**3 - 745*z**2 + 1475*z - 410. Let f(o) = 2*i(o) - 25*l(o). Determine w so that f(w) = 0.
-3, 2/7, 1
Let a(q) be the second derivative of q**6/30 + 3*q**5/2 + 253*q**4/12 + 70*q**3 + 98*q**2 + 139*q. Determine f, given that a(f) = 0.
-14, -1
Let z be ((-18)/4)/(3*(-2)/12). Suppose 2*d = -z + 21. Factor -6 - 2*t**2 + 2/9*t**3 + d*t.
2*(t - 3)**3/9
Let l(h) be the first derivative of -h**5/10 + h**3/3 - h/2 - 88. Find f, given that l(f) = 0.
-1, 1
Let s be 13 - (-10 - (-4176)/208). Find r such that -2/13*r - 4/13*r**5 - s*r**2 + 30/13*r**3 + 12/13 + 2/13*r**4 = 0.
-3, -1/2, 1, 2
Suppose 95 = 18*a + 23. Let o(s) be the second derivative of -s + 9/20*s**5 + 17/6*s**a + 0 + 14/3*s**3 - 4*s**2. Factor o(t).
(t + 2)**2*(9*t - 2)
Let c be (1/1)/((-6)/(-144)*6). Let z(t) be the first derivative of -1 - 1/6*t**6 + 0*t + 0*t**2 + 1/4*t**c - 1/3*t**3 + 1/5*t**5. Solve z(j) = 0 for j.
-1, 0, 1
Let w(c) be the first derivative of -c**4/8 + 5*c**3/12 + 7*c**2/8 + 25. Factor w(o).
-o*(o + 1)*(2*o - 7)/4
Let s(v) = -4*v + 46. Let n be s(7). What is u in -3*u**5 - 26*u**4 - 3*u**5 - 4 - 2*u - 2*u**3 + n*u**4 + 12*u**2 + 10*u**3 = 0?
-1, 2/3, 1
Let m be (-2)/((2/1106)/(-1)). Find f, given that -f**5 - m*f + f**3 - f**2 + 1106*f + f**4 = 0.
-1, 0, 1
Let j(a) be the second derivative of 0 + 4/39*a**3 - 13*a + 0*a**2 + 1/78*a**4. Factor j(s).
2*s*(s + 4)/13
Let m(c) be the first derivative of -c**5/10 - 2*c**4 + c**3/2 + 23*c**2/2 - 16*c - 171. Find t such that m(t) = 0.
-16, -2, 1
Let g(z) = -2*z**2 - 2*z + 1. Let o(p) = 20*p**2 + 30*p - 1. Let l(u) = 22*g(u) + 2*o(u). Find d, given that l(d) = 0.
-1, 5
Let n be ((-4)/(-3))/(3 - (1 + 0)). Factor 1/3*g**2 - 1/3*g**3 + 0 + n*g.
-g*(g - 2)*(g + 1)/3
Let w(t) be the second derivative of t - 1/40*t**5 + t**3 + 0 + 0*t**4 + 4*t**2. Let k(p) be the first derivative of w(p). Suppose k(s) = 0. What is s?
-2, 2
Let l(x) be the third derivative of x**5/60 - 19*x**4/8 - 29*x**3/3 - 79*x**2 + 2. Factor l(h).
(h - 58)*(h + 1)
Let f = 105655/6 + -17609. Factor -1/6 + 1/3*i - f*i**2.
-(i - 1)**2/6
Suppose 4 = -4*p, 0*q - 3*q + 4*p + 40 = 0. Let z = q - 8. Factor -4*j + 4*j**2 + z*j**2 + 0*j**4 + 4*j**2 + 4*j**4 - 12*j**3.
4*j*(j - 1)**3
Factor 4/3*f**4 - 1440*f + 72*f**2 + 2700 + 32*f**3.
4*(f - 3)**2*(f + 15)**2/3
Let x = -1069/2 - -514. Let i = 211/10 + x. Factor 0*h - i*h**3 + 1/5*h**5 + 2/5*h**2 + 0 + 0*h**4.
h**2*(h - 1)**2*(h + 2)/5
Let p(u) = u**3 + 8*u**2 + 129*u + 1262. Let t be p(-9). What is h in 5/4*h**4 - 25/2*h**3 + t + 165/4*h**2 - 50*h = 0?
1, 4
Let w(q) be the first derivative of q**4/72 - 9*q - 11. Let t(h) be the first derivative of w(h). Factor t(j).
j**2/6
Let -162/11*j - 2/11*j**5 + 0 + 216/11*j**2 - 108/11*j**3 + 24/11*j**4 = 0. What is j?
0, 3
Let x be ((-4)/6)/(2/(-3)) + 1. Find q, given that q**x + 937*q + 12*q**3 + 3*q**5 - q**3 - 939*q + 11*q**4 = 0.
-2, -1, 0, 1/3
Let c(g) be the third derivative of g**7/210 + 3*g**2 - 36*g. Find s, given that c(s) = 0.
0
Factor 1/3*l**4 + 800*l**2 + 32000/3*l + 160000/3 + 80/3*l**3.
(l + 20)**4/3
Factor -20*d**5 + 14*d**2 - 4*d**4 - 3*d**4 - d - d**3 + 3*d**3 + 19*d**5 - 7.
-(d - 1)**2*(d + 1)**2*(d + 7)
Let s = 31 + -27. Suppose 0 = -2*m + 3*g + 12 + 4, s*m + 3*g = 14. Factor 111/5*y**3 + 27/5*y**m + 12/5*y + 12*y**2 + 0 + 18*y**4.
3*y*(y + 1)**2*(3*y + 2)**2/5
Let f(v) = -6*v**4 - v**3 - v + 1. Let j(q) = -41*q**4 - 61*q**3 - 50*q**2 - 6*q + 6. Let k(a) = -6*f(a) + j(a). Suppose k(s) = 0. What is s?
-10, -1, 0
Let k be (-1 + -1)*-1 + 8 + -7. Suppose -z = 4*d + 20, 0 = 2*z - k*d - 8 - 7. Determine f, given that z - 1/2*f**2 + 0*f - 3/4*f**3 = 0.
-2/3, 0
Let q = -1675/8 - -1687/8. Factor q*r**4 + 3/2*r - 9/2*r**2 + 3 - 3/2*r**3.
3*(r - 2)*(r - 1)*(r + 1)**2/2
Let s(g) be the first derivative of g**5/240 + 7*g**4/96 + 5*g**2 + 17. Let a(q) be the second derivative of s(q). Factor a(z).
z*(z + 7)/4
Let f(q) = -5*q**2 - 2*q + 0*q + 3*q + 4*q. Let y(n) = 9*n**2 - 9*n. Let a(g) = 11*f(g) + 6*y(g). Determine x, given that a(x) = 0.
0, 1
Factor -4/3*g + 11/9 + 1/9*g**2.
(g - 11)*(g - 1)/9
Let j(z) be the first derivative of -2*z**5/15 - 5*z**4/6 - 14*z**3/9 - z**2 + 348. Find h such that j(h) = 0.
-3, -1, 0
Let c(u) be the first derivative of -u**7/630 + u**6