, -2/7, 1/2, 2
Let o(u) = -4*u**2 - 30*u - 51. Let f(a) = a**2 + 5*a - 1. Let g(n) = f(n) - o(n). Factor g(v).
5*(v + 2)*(v + 5)
Let o be (1/40*12)/((-3)/(-30)). Factor 28/5*t**2 - 4/5*t**o - 12*t + 36/5.
-4*(t - 3)**2*(t - 1)/5
Let l(o) be the third derivative of -o**7/1050 + 37*o**5/300 - 6*o**3/5 + 60*o**2 + 2. Suppose l(k) = 0. What is k?
-6, -1, 1, 6
Let c(x) be the first derivative of -x**5/35 + x**4/21 + 16*x + 3. Let b(n) be the first derivative of c(n). Let b(d) = 0. Calculate d.
0, 1
Let d(l) be the third derivative of l**7/2520 - l**6/240 + l**5/60 - l**4/6 + 13*l**2. Let k(j) be the second derivative of d(j). Factor k(x).
(x - 2)*(x - 1)
Let i(p) be the third derivative of p**7/1050 - p**6/600 - 11*p**5/300 + 3*p**4/40 + 3*p**3/5 + 5*p**2. Suppose i(w) = 0. Calculate w.
-3, -1, 2, 3
Let q(y) be the third derivative of 0 + y**3 - 46*y**2 + 1/20*y**5 + 0*y - 3/8*y**4. Solve q(j) = 0 for j.
1, 2
Let v(k) be the second derivative of -k**3/6 - 3*k**2/2 - 2*k. Let l be v(-6). Factor 2*w**4 - 4*w**2 - 2*w + 4*w + 2 + 2*w**5 - 4*w**3 + 0*w**l.
2*(w - 1)**2*(w + 1)**3
Let p(j) be the third derivative of -j**6/120 + 3*j**5/10 + 13*j**4/8 - 17*j**3/2 + 7*j**2 + 2*j. Let y(d) be the first derivative of p(d). Factor y(g).
-3*(g - 13)*(g + 1)
Suppose 5*c - 10*c + 15 = 0. Let o be (c/4)/(-3) - 75/(-140). Factor 8/7*q**2 + 10/7*q + o.
2*(q + 1)*(4*q + 1)/7
Let k(z) = 10 + z**2 - 2*z**2 + 2 - 3*z - 10. Let y be k(0). Factor -4/7*c**3 + 4/7*c + 0 - 6/7*c**y.
-2*c*(c + 2)*(2*c - 1)/7
Let q(m) = m**3 + 25*m**2 + 55*m + 207. Let t be q(-23). Let 0*z + 1/4*z**5 + z**2 + 0*z**3 - 3/4*z**4 + t = 0. What is z?
-1, 0, 2
Let g(z) be the first derivative of 25*z**4/28 + 5*z**3/3 - 12*z**2/7 - 36*z/7 - 36. Factor g(t).
(t - 1)*(5*t + 6)**2/7
Let t(r) be the second derivative of r**4/54 + 20*r**3/27 + 19*r**2/9 - 17*r - 1. Determine i so that t(i) = 0.
-19, -1
Let d(s) be the third derivative of s**5/15 + 4*s**4/3 + 8*s**3 - 192*s**2. Factor d(j).
4*(j + 2)*(j + 6)
Let z = 522 - 516. Let y(v) be the third derivative of 1/60*v**z - 2/3*v**3 + 0*v**5 + 4*v**2 - 1/4*v**4 + 0 + 0*v. Factor y(p).
2*(p - 2)*(p + 1)**2
Let i = 416 - 416. Let r(h) be the third derivative of 0*h**3 + 0 + 1/10*h**5 - 1/6*h**4 + i*h + 5*h**2 + 1/12*h**6. Solve r(v) = 0.
-1, 0, 2/5
Suppose f + 11*f - 36 = 0. Let x(v) be the first derivative of -2/15*v**3 + 4/5*v - 1/5*v**2 + f. Determine j, given that x(j) = 0.
-2, 1
Let k(c) be the third derivative of -16*c**2 + 0*c**3 + 1/4*c**4 + 1/30*c**5 + 0*c + 0. Solve k(z) = 0 for z.
-3, 0
Let q(j) = -60*j**4 - 37*j**3 - 7*j**2 + 2. Let l(v) = -60*v**4 - 38*v**3 - 8*v**2 + 3. Let z(b) = -2*l(b) + 3*q(b). Factor z(g).
-5*g**2*(3*g + 1)*(4*g + 1)
Let j be (-3)/(1/(-3 - -2)). Find y such that 0*y + 42*y**3 - 16*y**2 + 8*y - 2*y**4 - 32*y**j = 0.
0, 1, 2
Let m(l) be the third derivative of -l**7/1680 - 7*l**6/960 + l**5/16 - l**4/48 - 5*l**3/6 - 5*l**2 - 4. Factor m(w).
-(w - 2)**2*(w + 1)*(w + 10)/8
Solve -45/2*t**3 + 45/2*t - 20 + 35/2*t**2 + 5/2*t**4 = 0 for t.
-1, 1, 8
Let k(b) be the third derivative of -b**6/780 - 11*b**5/195 - 5*b**4/12 + 52*b**3/3 - b**2 + 229*b. Suppose k(t) = 0. What is t?
-13, 4
Let p(q) be the third derivative of q**7/504 + q**6/72 + q**5/24 + 41*q**4/24 - 41*q**2. Let h(d) be the second derivative of p(d). Factor h(y).
5*(y + 1)**2
Let m(v) = -6*v - 6. Let y(g) = 2*g + 2. Let t(a) = 5*m(a) + 14*y(a). Let j be t(-5). What is q in j*q - 3*q**2 + q**3 - q**3 + 2*q**3 - 5*q**2 = 0?
0, 2
Let 32490 - 6*i**2 - 5871*i + 257*i**2 + 329*i**2 + 5*i**3 + 23256*i = 0. What is i?
-57, -2
Let a(u) be the third derivative of -u**8/1344 - u**7/168 + u**6/144 + u**5/8 + 7*u**4/4 + 15*u**2. Let f(s) be the second derivative of a(s). Solve f(x) = 0.
-3, -1, 1
Suppose -3*x - x + 52 = 5*v, v - x = 14. Suppose -5*d**4 + 8*d + 4*d - v*d**3 + 6 - 2 + d**2 = 0. Calculate d.
-2, -1, -2/5, 1
Solve 2*c**3 + 36*c**2 + 3*c - 325 - 23*c + 105 + 19*c**2 + 3*c**3 = 0 for c.
-11, -2, 2
Let p(u) be the first derivative of 0*u**4 - 3/10*u**5 + 0*u**2 + 10 - 3/2*u + u**3. Factor p(f).
-3*(f - 1)**2*(f + 1)**2/2
Let z = 2026 + -6068/3. Suppose 4/3 - z*p**2 - 2*p = 0. Calculate p.
-1, 2/5
Let i be 45/(-25) - -4 - (-1)/(-5). Factor 21*h**i - 10*h**2 + 6 - h - 12*h**2.
-(h - 2)*(h + 3)
Let h(y) = 5*y - 10. Let p be h(5). Factor 1 + 14*k**2 - p*k**2 - 1.
-k**2
Let g(m) be the first derivative of -m**6/240 + m**5/160 + m**4/96 - m**3/48 + 8*m + 5. Let t(w) be the first derivative of g(w). Let t(i) = 0. What is i?
-1, 0, 1
Let p be 0/(5/(5/2)). Suppose p = 2*q - q. Solve 3*x + q*x + 2*x**2 - 2*x**2 - 3*x**3 = 0 for x.
-1, 0, 1
Let w be 5/(-2)*1221/(-55). Let f = w + -55. Factor f*g + 0 - 1/2*g**2.
-g*(g - 1)/2
Let n be (-1 + (1 - 0))*3/(-6). Suppose n = -31*a + 36*a. Factor 1/3*p**2 - 1/3 + a*p.
(p - 1)*(p + 1)/3
Let d = 2/835 + 499/835. Let y(l) be the second derivative of -1/10*l**6 - 3/2*l**2 - 3/2*l**4 + 0 - 2*l**3 - 3*l - d*l**5. Suppose y(t) = 0. What is t?
-1
Let c = -11 + 1. Let b(o) = -o**2 - 10*o + 4. Let g be b(c). Suppose -9/2*u**3 + 0 + 5/2*u**g - 1/2*u**5 - u + 7/2*u**2 = 0. What is u?
0, 1, 2
Let m(b) = -31*b**4 + 9*b**3 - 10*b**2 + 2*b - 5. Let i(x) = 6*x**4 - x**3 + x**2 + 1. Let n(f) = -5*i(f) - m(f). Factor n(k).
k*(k - 2)*(k - 1)**2
Let f(o) be the third derivative of o**7/525 + 73*o**6/300 - 3*o**5/2 + 227*o**4/60 - 76*o**3/15 + o**2. Factor f(j).
2*(j - 1)**3*(j + 76)/5
Let v(n) be the first derivative of 0*n + 3/20*n**4 - 1/5*n**3 - 11 - 3/5*n**2. Suppose v(q) = 0. Calculate q.
-1, 0, 2
Let l(b) be the first derivative of -b**7/525 + b**5/150 - 41*b**2/2 + 37. Let w(i) be the second derivative of l(i). Suppose w(a) = 0. What is a?
-1, 0, 1
Let f(a) be the third derivative of a**9/7560 + a**8/5040 - a**7/252 + a**6/90 - a**5/6 - 5*a**2. Let w(q) be the third derivative of f(q). Factor w(y).
4*(y - 1)*(y + 2)*(2*y - 1)
Let m be -24*3*(-3)/18. Factor 4*f**5 - 4*f**4 - 2*f + 0*f**4 + 20*f**2 - 5*f - f - m*f**3.
4*f*(f - 1)**3*(f + 2)
Let l(a) = -8*a**3 - 199*a**2 + 26*a + 27. Let h be l(-25). Factor 1/2*t**3 - h - 2*t + 1/2*t**2.
(t - 2)*(t + 1)*(t + 2)/2
Let w(t) be the first derivative of t**7/70 + t**6/9 + 11*t**5/30 + 2*t**4/3 - 3*t**3 + 6. Let c(o) be the third derivative of w(o). Find q such that c(q) = 0.
-4/3, -1
Let p(k) = k**5 + k**3 - 1. Let b be -1 + 5 + (-1)/(-1). Let a(u) = -u**2 + u**4 + 5*u**3 + u**b - 2*u**3 + 0 - 2. Let j(q) = a(q) - 2*p(q). Factor j(t).
-t**2*(t - 1)**2*(t + 1)
Let q(z) be the first derivative of -z**3/3 - 23*z**2/6 + 8*z/3 - 380. Factor q(c).
-(c + 8)*(3*c - 1)/3
Let s = -16 - -2. Let m = s - -17. Suppose -4*t + 5*t**2 + 13*t**2 + 14*t**5 - 13*t**3 + 3*t**m - 18*t**4 = 0. Calculate t.
-1, 0, 2/7, 1
Suppose -n + 72 = 3*n. Let l = -15 + n. Determine s so that l*s**5 - 4*s - 4*s**5 + 3*s**2 + 9*s**2 - 13*s**3 + 6*s**4 = 0.
0, 1, 2
Let h(p) be the second derivative of p**6/105 + 3*p**5/70 + p**4/42 - p**3/7 - 2*p**2/7 - 2*p - 11. Factor h(x).
2*(x - 1)*(x + 1)**2*(x + 2)/7
Suppose -2 = 5*j - 22. Determine m, given that -10*m**3 - 8*m**3 + 12*m**3 - 15*m**j - 6*m**5 = 0.
-2, -1/2, 0
Let f(s) be the third derivative of -s**5/60 - s**4/24 + 14*s**2. Let t(h) = -15*h**4 - 5*h**3 + 2*h**2 + 2*h. Let g(r) = -2*f(r) - t(r). Factor g(p).
5*p**3*(3*p + 1)
Factor 6*f - 2/3*f**2 + 24.
-2*(f - 12)*(f + 3)/3
Factor -2*b**4 - 50*b - 6*b + 14*b**3 - 41 - 6*b - 6*b**2 + 1.
-2*(b - 5)*(b - 4)*(b + 1)**2
Let -4/5*x**4 + 8/5*x - 16/5*x**2 + 0 - 42/5*x**3 + 14/5*x**5 = 0. What is x?
-1, 0, 2/7, 2
Let g = 13 + -10. Find k such that 2*k**2 + g*k**2 - k**2 + 12*k**4 - 12*k**3 + 0*k**5 - 4*k**5 = 0.
0, 1
Factor 9*u**2 - 20*u - 8*u**2 + 9*u**2 - 5*u**3 + 10*u**2.
-5*u*(u - 2)**2
Let h(d) = 44*d**3 - 53*d**2 + 9*d - 5. Let z(b) = -22*b**3 + 27*b**2 - 5*b + 3. Let n(c) = -6*h(c) - 10*z(c). Suppose n(v) = 0. Calculate v.
0, 1/11, 1
Let y(n) be the third derivative of -n**6/60 - 7*n**5/30 - 6*n**2 + 3. Suppose y(o) = 0. What is o?
-7, 0
Let s = 114 - 110. Find o, given that 0*o - 8*o**2 - 8*o**5 - 6*o - 2*o + 7*o**3 + 4*o**4 + 9*o**3 + s = 0.
-1, 1/2, 1
Let l = -70 + 74. Let y(o) = o**3 + o**2. Let d be y(1). Factor 0*a**2 - 7*a + l*a - 2 + 0*a**d - a**2.
-(a + 1)*(a + 2)
Factor -8/3*r + 0 + 8/3*r**2 - 2/3*r**3.
-2*r*(r - 2)**2/3
Factor -1