s. Factor x(m).
m*(m + 1)
Suppose -5*p = -4*s - 6 - 19, 5*s + 11 = 4*p. Let h be (-114)/(-27) + (-2)/p. Factor j**3 - 2*j**h - j**3.
-2*j**4
Let x(v) = -2*v**5 - 8*v**4 + 2*v**3 + 5*v**2 - 3. Let a(r) = -6*r**5 - 24*r**4 + 6*r**3 + 16*r**2 - 8. Let u(h) = 3*a(h) - 8*x(h). Let u(s) = 0. Calculate s.
-4, -1, 0, 1
What is f in -2/3*f**2 - 8/3 + 10/3*f = 0?
1, 4
Let r(f) be the first derivative of -3*f**4/8 + 5*f**3 - 75*f**2/4 + 43. Determine b so that r(b) = 0.
0, 5
Let r(u) = 5*u**4 - 15*u**3 + 5*u**2 + 5*u. Let d(q) = 2*q**4 - 7*q**3 + 2*q**2 + 3*q. Let i(g) = 5*d(g) - 3*r(g). Factor i(k).
-5*k**2*(k - 1)**2
Factor -1/2*m**3 + 2*m**2 + 0 + 5/2*m.
-m*(m - 5)*(m + 1)/2
Let q(g) = g**3 + 3*g**2 + 2. Let t(r) = r**3 + r**2 + 4 + 2 - 5. Let y(h) = -3*q(h) + 6*t(h). Factor y(m).
3*m**2*(m - 1)
Let b(z) be the first derivative of 2*z**3/21 + 5. Let b(f) = 0. Calculate f.
0
Let a(w) = w**2 - w + 17. Let m be a(0). Factor -2*x**4 - m*x**2 + x**2 - 16*x**3 - 2*x**4.
-4*x**2*(x + 2)**2
What is n in 1/6*n**2 + 121/6 + 11/3*n = 0?
-11
Determine t, given that -11 + 5*t**3 - t**3 - 24*t**2 + 5 - 3*t**5 + 2*t**3 + 6*t**4 + 21*t = 0.
-2, 1
Factor 14 - 8*j**2 + 24*j + 5*j**2 - 62.
-3*(j - 4)**2
Determine j, given that -2*j + 7*j + 9 + 0*j + j**2 - 5 = 0.
-4, -1
Let f(m) = m**3 - m**2 + m + 1. Let s(y) = -12*y**3 + 20*y**2 - 16*y - 16. Let d(t) = -16*f(t) - s(t). Factor d(x).
-4*x**2*(x + 1)
Suppose -6*z + 672 = z. Factor 936/7*r**2 + z*r**3 + 384/7*r + 48/7 + 21*r**4.
3*(r + 2)**2*(7*r + 2)**2/7
Let h(m) be the second derivative of -4*m**2 + 7/2*m**7 + 56/15*m**6 + 0 - 9/2*m**4 - 149/20*m**5 + 26/3*m**3 + m. Determine t so that h(t) = 0.
-1, 2/7, 2/3
Let s = -29/2 - -61/4. Let -1/2 + s*t - 1/4*t**2 = 0. Calculate t.
1, 2
Factor 1/3*t - 1/3*t**2 + 0 + 1/3*t**4 - 1/3*t**3.
t*(t - 1)**2*(t + 1)/3
Factor 0*t**3 - 1/4*t**4 - t**5 + 0*t + 0*t**2 + 0.
-t**4*(4*t + 1)/4
Let m = -291 + 294. Determine d, given that 0 - 4/3*d**5 - 2/3*d + 2/3*d**4 + 2*d**m - 2/3*d**2 = 0.
-1, -1/2, 0, 1
Let x = 140 + -140. Factor 3/2*k + x - 1/2*k**2.
-k*(k - 3)/2
Let t(d) = 3*d**2 - 6*d + 3. Let p be t(2). Suppose p*x - 4*v = -0*x, -x = -5*v. Factor x + 0*m + 2/3*m**2.
2*m**2/3
Let z(x) be the second derivative of x**4/4 + 3*x**3/2 + 9*x**2/2 + 5*x. Let m(p) = 2*p**2 + 5*p + 5. Let y(q) = -9*m(q) + 5*z(q). Factor y(h).
-3*h**2
Let h(g) be the third derivative of g**8/2016 + g**7/1260 - 7*g**2. Let h(n) = 0. What is n?
-1, 0
Let -4 + 2*p + 2*p**3 - 3*p + p - 2*p + 4*p**2 = 0. Calculate p.
-2, -1, 1
Suppose -t = 5*a + 21, -7*a - 12 = 2*t - 3*a. Suppose t*b + 4 = 5*b. Let -m**3 - 2*m**4 - m**3 + 4*m**b = 0. What is m?
0, 1
Let s be 14/49*(-2 + 4). Determine m so that -4/7*m**3 + 2/7*m**5 + 2/7*m - s*m**2 + 2/7 + 2/7*m**4 = 0.
-1, 1
Factor 2/9*u**4 + 0 - 10/9*u**2 + 0*u + 8/9*u**3.
2*u**2*(u - 1)*(u + 5)/9
Let j(o) be the third derivative of -o**7/840 + o**6/240 - o**4/48 + o**3/24 - 2*o**2. Suppose j(t) = 0. What is t?
-1, 1
Determine z, given that -1/4*z**2 - 1/2 - 3/4*z = 0.
-2, -1
Let d be (184/(-24) - -7)*1/(-2). Let f(w) = -w**3 - 4*w**2 + 2. Let n be f(-4). Factor 0 - 1/3*t + d*t**n.
t*(t - 1)/3
Let f(x) be the second derivative of x**7/189 - x**6/45 + x**5/30 - x**4/54 - 2*x. Solve f(u) = 0.
0, 1
Let w be 6/4*48/63. Let y = 1 + 1. Factor -8/7 - 2/7*m**y + w*m.
-2*(m - 2)**2/7
Factor 5/4*u**2 - 1/4*u**4 + 0 + 3/2*u - 1/2*u**3.
-u*(u - 2)*(u + 1)*(u + 3)/4
Suppose 2*p - 4 = -3*u, -p = -3*u - 4*p + 3. Solve -1/2*j**u - 1/2 + j = 0.
1
Let s(k) be the first derivative of -3*k**2 + k**3 - 1 + 4 + 6*k**2 + 3*k**2 + 12*k. Solve s(t) = 0 for t.
-2
Suppose 2*u = 6*u + 12. Let v be u/(-12)*2 - 0. Solve -v*g**5 + 1/2*g**3 + 1/2*g**4 + 0 - 1/2*g**2 + 0*g = 0.
-1, 0, 1
Suppose -5*p + q - 253 = 0, 3*p + 0*p = 2*q - 156. Let c = p - -301/6. Factor 0 - c*t**2 + 1/6*t**4 + 0*t**3 + 0*t.
t**2*(t - 1)*(t + 1)/6
Find s, given that 0 + 0*s - 6*s**3 - 3/2*s**2 = 0.
-1/4, 0
Let i(k) = -12*k**3 - 213*k**2 - 975*k + 1185. Let l(h) = 3*h**3 + 53*h**2 + 244*h - 296. Let y(w) = 4*i(w) + 15*l(w). Find b, given that y(b) = 0.
-10, 1
Let j = 753 + -751. Determine v so that -3 - 3/2*v**j - 9/2*v = 0.
-2, -1
Let v(w) be the first derivative of w**5/20 + w**4/4 - 3*w**3/2 + w**2/2 - 5. Let o(k) be the second derivative of v(k). Factor o(d).
3*(d - 1)*(d + 3)
Let s(m) be the first derivative of 27/4*m**4 + 0*m + 3/2*m**2 - 12/5*m**5 - 6*m**3 + 4. Suppose s(v) = 0. What is v?
0, 1/4, 1
Let c(a) be the third derivative of a**7/490 + a**6/168 - a**5/105 - a**4/42 - 15*a**2. Factor c(j).
j*(j - 1)*(j + 2)*(3*j + 2)/7
Suppose -i + 24 = 3*i. Let u be ((-3)/(-9))/(1/i). Factor -4*f**4 - 9*f**3 - 4*f**u - 2*f**5 - f + 3*f**3 + f**5.
-f*(f + 1)**4
Suppose 6 = -3*a, -5*a = -2*p - p - 8. Let l = p - -8. Factor 12*c**2 - 30*c**l + 4*c + 14*c**3 + 0*c.
2*c*(c - 1)*(7*c - 2)
Let q be 85/35 + (-6)/14. Solve -2/11*p + 4/11 - 6/11*p**q + 2/11*p**4 + 2/11*p**3 = 0 for p.
-2, -1, 1
Let q(z) be the third derivative of 0 - 1/72*z**4 + 1/180*z**5 + 0*z - 1/9*z**3 + 4*z**2. Solve q(c) = 0.
-1, 2
Let l(m) = 3*m**3 - 1. Let r be l(1). Let t = 5/2 - 1. Factor -t*f + 1/2*f**r + 1.
(f - 2)*(f - 1)/2
Let u(t) be the third derivative of -t**8/1512 + t**6/270 - t**4/108 - 8*t**2. What is p in u(p) = 0?
-1, 0, 1
Let u = 51 + -49. Let f(g) be the second derivative of -5/36*g**4 + 1/3*g**u + 0 - 1/18*g**3 + g - 1/30*g**5. Factor f(s).
-(s + 1)*(s + 2)*(2*s - 1)/3
Let y be 108/20 + (-2)/5. Let q(f) be the first derivative of -2/35*f**y + 4/21*f**3 + 2 + 0*f**2 + 0*f**4 - 2/7*f. Factor q(o).
-2*(o - 1)**2*(o + 1)**2/7
Let g(b) be the second derivative of b**8/672 - b**6/120 + b**4/48 + b**2 + 3*b. Let n(w) be the first derivative of g(w). Suppose n(a) = 0. Calculate a.
-1, 0, 1
Find a, given that -2/17*a**3 - 6/17*a**2 + 0 - 4/17*a = 0.
-2, -1, 0
Let a be (-4)/(-24)*-10*-3. Let f = -1403/7 + 201. Factor 6/7*j**4 - 2/7 + 6/7*j - f*j**2 - 2/7*j**a - 4/7*j**3.
-2*(j - 1)**4*(j + 1)/7
Let f be 8*(0 - (-1)/18). Let j be 2 + 1 + 3 + -4. Let -f*x + 2/9 + 2/9*x**j = 0. What is x?
1
Let f(p) be the second derivative of 3*p**5/140 + p**4/7 + 2*p**3/7 + 20*p. Factor f(k).
3*k*(k + 2)**2/7
Factor 0*w + 4/5*w**3 + 0 + 0*w**2 + 2/5*w**4.
2*w**3*(w + 2)/5
Let q(k) = 1. Let y(b) = 6*b**4 + 4*b**3 - 6*b**2 - 4*b - 6. Let o(w) = 6*q(w) + y(w). Factor o(a).
2*a*(a - 1)*(a + 1)*(3*a + 2)
Let g(m) = -2*m**2 - 2. Let y(d) be the third derivative of -d**5/20 - d**3/3 + 2*d**2. Let w(r) = -5*g(r) + 4*y(r). Determine b, given that w(b) = 0.
-1, 1
Let x(n) be the third derivative of -n**8/23520 + n**7/2205 - n**6/504 + n**5/210 + 7*n**4/24 - n**2. Let p(g) be the second derivative of x(g). Factor p(d).
-2*(d - 2)*(d - 1)**2/7
Let i(d) be the third derivative of -1/70*d**7 + 0*d + 4*d**2 - 1/2*d**3 + 0 + 0*d**4 + 0*d**6 + 1/10*d**5. Factor i(a).
-3*(a - 1)**2*(a + 1)**2
Let a(b) be the second derivative of b**6/165 + b**5/110 - b**4/66 - b**3/33 + 10*b. Determine i so that a(i) = 0.
-1, 0, 1
Let g be 5 + 1 + -3 + 1. Suppose -3*v**4 - 3*v**g + 2*v**3 + 2*v**5 + 2*v**4 = 0. Calculate v.
0, 1
Let x(p) = -p**3 + p**2. Let g(r) = r**3 - 6*r**2 - 4*r. Let s(t) = g(t) + 2*x(t). Determine a so that s(a) = 0.
-2, 0
Let -17/7*w - 5/7*w**2 - 6/7 = 0. Calculate w.
-3, -2/5
Let l(g) = 7*g**2 - g - 8. Suppose 3*o - 5 = -d, 4 = -o + 5*o + 2*d. Let j(t) = t**2 + t. Let a(k) = o*j(k) - l(k). Suppose a(x) = 0. What is x?
-1, 2
Let u = -103 - -105. Let w(f) be the second derivative of 0 + 0*f**u - 2*f - 1/48*f**4 - 1/80*f**5 + 0*f**3. Let w(x) = 0. Calculate x.
-1, 0
Let r be -1*(-1)/20*4. Factor 1/5*p**4 - r*p**2 + 1/5*p**3 - 1/5*p**5 + 0*p + 0.
-p**2*(p - 1)**2*(p + 1)/5
Let h(k) = 6*k**2 - 4*k + 6. Let a(p) = -p - 1. Suppose -2*n = 9 - 99. Let v be 54/n*(-20)/6. Let r(l) = v*a(l) - h(l). Solve r(z) = 0 for z.
1/3, 1
Let f(j) = -j**5 + j**3 - j**2 - j. Let h(k) = -15*k**5 - 12*k**4 + 36*k**3 - 30*k**2 - 15*k. Let a(d) = -18*f(d) + h(d). Suppose a(b) = 0. Calculate b.
0, 1
Let j be (-294)/(-102) + 6/51. Factor -1/3*w - 5/3*w**j - 8/3*w**2 + 2/3.
-(w + 1)**2*(5*w - 2)/3
Let q be (-2)/(-1) + -2 + 4. Factor 6*d**3 - 2 - d**3 + 2*d**4 - 6*d + 2*d**5 - 4*d**2 + 4*d**q - d**3.
2*(d - 1)*(d + 1)**4
Let m = -45 - -74. Let j = m - 24. Factor -6/5*r**4 + 0 - 6/5*r**3 - 2/5*r**j + 0*r - 2/5*r**2.
-2*r**2