/3 = 0.
-1, 2
Let p(x) = 3*x - 4. Let r be p(2). Factor -33*t**2 + 16*t**r - t + 16*t**2.
-t*(t + 1)
Let -9*f**2 - 6/7*f - 51/7*f**4 - 108/7*f**3 + 0 = 0. What is f?
-1, -2/17, 0
Let r(j) be the third derivative of j**7/1680 - 13*j**6/960 + 23*j**5/480 - 11*j**4/192 - 4*j**2 - 4. Find b, given that r(b) = 0.
0, 1, 11
Factor -4/11*p**2 - 2/11*p + 0.
-2*p*(2*p + 1)/11
Let z be (1 + 0)*-1*9 + (-6800)/(-544). Factor 1/2*a**4 - 3 - 7/2*a + 5/2*a**2 + z*a**3.
(a - 1)*(a + 1)**2*(a + 6)/2
Let v be 1 + ((-587)/(-3) - 14/(-21)). Let q = -197 + v. Determine f, given that q*f - 2/3 + f**2 - 1/3*f**3 - 1/3*f**4 = 0.
-2, -1, 1
Let a = 337 - 335. Let s(f) be the second derivative of -6*f + 0 - 1/126*f**7 + 0*f**6 - 1/3*f**a + 1/18*f**4 + 1/15*f**5 - 1/6*f**3. Factor s(r).
-(r - 2)*(r - 1)*(r + 1)**3/3
Let l(h) = h**2 - 11*h - 1. Let n be l(11). Let j be n + (5 - (-3 + 2)). Factor 2*v + 16/3*v**3 - 3*v**4 - 14/3*v**2 - 1/3 + 2/3*v**j.
(v - 1)**4*(2*v - 1)/3
Factor -28 - 62 - 14*p - 18*p + 3*p**2 - 16*p + 27*p.
3*(p - 10)*(p + 3)
Let i(d) = -15*d**3 - 5*d**2. Let h(k) = 10*k**3 + 3*k**2 - 4*k - 4. Let r(m) = -m - 1. Let t(v) = -h(v) + 4*r(v). Let x(o) = -5*i(o) + 8*t(o). Factor x(c).
-c**2*(5*c - 1)
Let a(t) be the first derivative of t**9/756 + t**8/420 - t**7/210 - t**6/90 + 5*t**3 + 5. Let y(w) be the third derivative of a(w). Factor y(h).
4*h**2*(h - 1)*(h + 1)**2
Let z(d) = 19*d - 54. Let g be z(8). Let w be 1610/g + (-6)/1. Find m, given that 20/7*m**5 - w*m**4 + 4/7*m + 0 - 32/7*m**2 + 81/7*m**3 = 0.
0, 1/4, 2/5, 1, 2
Suppose 2*x + 0*d - 18 = -2*d, 3*x = -d + 21. Let j(g) be the third derivative of 1/120*g**x - 5*g**2 + 0 + 1/3*g**3 + 0*g - 1/8*g**4 + 0*g**5. Factor j(f).
(f - 1)**2*(f + 2)
Let 126/17*x**5 + 0 + 638/17*x**4 + 32/17*x**3 + 0*x - 40/17*x**2 = 0. What is x?
-5, -2/7, 0, 2/9
Let q(m) be the second derivative of -m**6/12 + 4*m**5 - 185*m**4/4 - 680*m**3/3 - 1445*m**2/4 + 177*m. Factor q(b).
-5*(b - 17)**2*(b + 1)**2/2
Let h(r) be the first derivative of -2*r**5/5 - 33*r**4/2 - 64*r**3/3 + 192. Factor h(s).
-2*s**2*(s + 1)*(s + 32)
Let u be 741/52 + -13 + (-6)/(-8). Solve 0 - 1/2*g**u + 0*g - g**4 + 5/4*g**3 + 1/4*g**5 = 0.
0, 1, 2
Suppose 3*u**2 + 3*u**2 + 1766*u**3 - 1767*u**3 + 27*u = 0. Calculate u.
-3, 0, 9
Let v(u) = -100*u**3 + 13*u**2 + 2 + 1 + 93*u**3 - 2*u**4 - 12*u. Let z(q) = -q**4 - 8*q**3 + 14*q**2 - 12*q + 3. Let d(b) = -4*v(b) + 5*z(b). Factor d(x).
3*(x - 1)**4
Let s(j) be the third derivative of -j**7/70 - 13*j**6/40 - 51*j**5/20 - 35*j**4/8 + 50*j**3 - 95*j**2. Factor s(x).
-3*(x - 1)*(x + 4)*(x + 5)**2
Factor 6*c**3 + 1/4*c**5 + 0*c + 0 + 11/4*c**4 - 9*c**2.
c**2*(c - 1)*(c + 6)**2/4
Let w(r) be the first derivative of -4/5*r + 1/5*r**2 + 8/15*r**3 - 3/10*r**4 + 18. Factor w(l).
-2*(l - 1)**2*(3*l + 2)/5
Let r = -1733/42 - -290/7. Find s such that -1/6*s**3 + 1/6 - 1/6*s**2 + r*s = 0.
-1, 1
Let w(s) be the second derivative of -5*s**4/12 + s**3/6 - 27*s. Let a(g) = -g**2. Let o(u) = 20*a(u) - 5*w(u). Solve o(m) = 0.
0, 1
Let p(t) be the first derivative of -1/10*t**5 + 0*t**2 + 0*t - 3/4*t**4 - 2/3*t**3 - 1/180*t**6 - 6. Let a(o) be the third derivative of p(o). Factor a(k).
-2*(k + 3)**2
Let i(a) be the first derivative of -2/5*a**3 - 2/5*a**2 - 1/25*a**5 - 1/5*a - 1/5*a**4 - 18. Factor i(y).
-(y + 1)**4/5
Let c(b) = -10*b**2 - 12*b - 18. Let z be c(-2). Let a = z + 36. Suppose -8/7*s + 0 - 4/7*s**3 - 12/7*s**a = 0. What is s?
-2, -1, 0
Let p(d) be the third derivative of 1/48*d**4 + 1/480*d**6 + 1/80*d**5 + 0 + 0*d**3 + 12*d**2 + 0*d. Factor p(o).
o*(o + 1)*(o + 2)/4
Let b(d) be the first derivative of -9/2*d**2 + 1 - 3/4*d**4 + 3*d**3 + 3*d. Suppose b(i) = 0. What is i?
1
Determine s so that 0*s**3 + 108*s + 9 - 2*s**3 + 12*s**2 + 7 - 78*s = 0.
-1, 8
Let g(n) be the second derivative of -7*n**5/100 + 65*n**4/4 - 622*n**3/15 + 138*n**2/5 - n - 14. Solve g(s) = 0 for s.
2/7, 1, 138
Let k(j) be the second derivative of -j**7/210 + j**6/80 + j**5/40 + 13*j**4/12 - 7*j. Let t(u) be the third derivative of k(u). Factor t(v).
-3*(v - 1)*(4*v + 1)
Let p be (-6)/8 - (-240)/(-640)*122/(-21). Suppose -18/7*w**3 + 0 - 2/7*w**5 + 2*w**2 + p*w**4 - 4/7*w = 0. What is w?
0, 1, 2
Let n = -458 + 460. Let w(d) be the second derivative of -2/5*d**n - 6*d + 0 + 1/30*d**4 + 1/15*d**3. What is l in w(l) = 0?
-2, 1
Suppose 9*r = -4*z + 14*r + 20, r = 4. Let d(l) be the second derivative of 0 - z*l + l**2 + 7/20*l**5 - l**4 + 1/2*l**3. Factor d(a).
(a - 1)**2*(7*a + 2)
Let k(b) = 2*b**2 + 9*b + 16. Let v(y) = y**2. Let d(q) = -k(q) + 6*v(q). Let m(f) = -f**2 + 2*f + 4. Let h(p) = -2*d(p) - 9*m(p). Suppose h(l) = 0. What is l?
-2, 2
Let s be -6 - (0 + 6345/(-25)). Let g = s + -247. Factor -g - 2/5*h**4 + 2*h**3 + 14/5*h - 18/5*h**2.
-2*(h - 2)*(h - 1)**3/5
Factor 22/5*s**2 + 9/5*s**3 - 32/5 + 1/5*s**4 + 0*s.
(s - 1)*(s + 2)*(s + 4)**2/5
Let s(d) be the third derivative of -d**9/10080 + d**8/4480 - 11*d**4/12 + 14*d**2. Let w(f) be the second derivative of s(f). Find c such that w(c) = 0.
0, 1
Let z(q) be the second derivative of q**7/3360 - q**6/1440 - q**5/240 + 2*q**3 + 4*q. Let n(b) be the second derivative of z(b). Factor n(h).
h*(h - 2)*(h + 1)/4
Let x(z) be the first derivative of z**5/35 + 4*z**4/21 + 10*z**3/21 + 4*z**2/7 - 11*z + 19. Let a(g) be the first derivative of x(g). What is n in a(n) = 0?
-2, -1
Let y = 2563 + 1109. Factor 2*j**2 + 5*j - 5*j**2 + 3677*j**4 - y*j**4 - 5*j**3 - 2*j**2.
5*j*(j - 1)**2*(j + 1)
Let h(g) be the second derivative of -g**6/270 + g**5/30 - 5*g**4/108 + 38*g - 3. Factor h(p).
-p**2*(p - 5)*(p - 1)/9
Let r be 463/(-36) + (-36)/(-27). Let b = r - -124/9. Factor -3/2*a - 1/4*a**2 - b.
-(a + 3)**2/4
Factor -23 + 7*h**2 - 433*h - 3*h**2 + 455*h - 2*h**3 + 0*h**2 - 1.
-2*(h - 4)*(h - 1)*(h + 3)
Let w(j) be the third derivative of j**8/84 + 2*j**7/35 - j**6/10 - 11*j**5/15 - j**4 - 111*j**2. Suppose w(o) = 0. What is o?
-3, -1, 0, 2
Find m such that -315/4*m + 27/2 + 339/4*m**2 + 339/4*m**3 + 63/4*m**4 = 0.
-3, 2/7, 1/3
Let l(q) be the third derivative of -9*q**5/170 + 7*q**4/68 + 10*q**3/51 + 6*q**2 + 2*q. Find z, given that l(z) = 0.
-1/3, 10/9
Suppose 0 = -5*d + 4*f - 8, -5*d + 158*f - 10 = 153*f. Determine m so that d*m - 3/2*m**3 + 11/2*m**2 + 3/2*m**5 - 2 - 7/2*m**4 = 0.
-1, -2/3, 1, 2
Suppose -5*j + 22 = 2*p, -3*j - 2*p + 110 = 96. Factor 0 - 2/9*q**3 + 0*q + 2/3*q**j - 4/9*q**2.
2*q**2*(q - 1)*(3*q + 2)/9
Let u(a) be the first derivative of 2*a - 5/4*a**4 + 21 - 7/2*a**2 + 1/5*a**5 + 3*a**3. Solve u(o) = 0.
1, 2
Factor -2/7*s**3 + 0*s**2 + 8/7*s + 0.
-2*s*(s - 2)*(s + 2)/7
Let p(r) be the third derivative of -5/8*r**4 - 1/24*r**6 + 1/4*r**5 + 0*r + 9*r**2 + 5/6*r**3 + 0. Factor p(c).
-5*(c - 1)**3
Factor 19*c + 368*c**2 + 21*c - 364*c**2.
4*c*(c + 10)
Let h(y) be the second derivative of -7*y**6/10 - 27*y**5/20 - y**4/2 - 2*y - 20. Determine m, given that h(m) = 0.
-1, -2/7, 0
Factor -159*m - 103*m + 173*m - 129*m + 2*m**2.
2*m*(m - 109)
Find n such that 0 + 36/7*n + 3*n**3 - 3/7*n**4 - 48/7*n**2 = 0.
0, 2, 3
Let q(u) be the third derivative of -u**6/40 + 3*u**5/5 - 29*u**4/8 + 9*u**3 + 22*u**2 + 1. Factor q(m).
-3*(m - 9)*(m - 2)*(m - 1)
Let m(u) be the first derivative of -9*u**5/5 + 33*u**4/4 + 6*u**3 - 12*u**2 - 24. Find s such that m(s) = 0.
-1, 0, 2/3, 4
Let n(j) be the third derivative of -j**8/112 + j**7/10 - 9*j**6/20 + j**5 - j**4 + 124*j**2. Factor n(v).
-3*v*(v - 2)**3*(v - 1)
Let m(p) = 46*p**2 - 94*p + 48. Let s(x) = -44*x**2 + 92*x - 48. Let z(b) = 3*m(b) + 4*s(b). Find d, given that z(d) = 0.
1, 24/19
Suppose -16*o - 2072 = 12*o. Let d = -516/7 - o. Factor 2/7 + d*h**2 - 4/7*h.
2*(h - 1)**2/7
Find f, given that 0*f + 2/9*f**3 + 0 + 28/3*f**2 = 0.
-42, 0
Let s(a) be the third derivative of 0 + 5/48*a**4 + 1/8*a**3 + 0*a + 1/80*a**5 + 14*a**2. Factor s(p).
(p + 3)*(3*p + 1)/4
Let k(q) be the second derivative of -4*q**5/5 - 5*q**4/3 + 46*q**3/3 + 12*q**2 - 98*q. Suppose k(u) = 0. What is u?
-3, -1/4, 2
Let w be -3*(-3 + (-5)/(-3)). Suppose -v + 25 = w*v. Determine b so that -v*b**3 - 2*b**2 + 4*b**2 + 3*b**2 = 0.
0, 1
Let q(i) = i**3 + 11*i**2 + 13*i - 8. Let j be q(-11). Let n = j - -153. Solve 0*a - 1/2 + 1/2*a**n = 0.
-1, 1
Let b(q) = 88*q**2 - 14*q - 3. Let l be b(6). Find i, gi