-4*p**2 + 2*p**m + 2*p + 0*p**2.
-2*p*(p - 1)
Let w(g) be the third derivative of g**6/40 + 3*g**5/20 + g**4/4 - g**2. Factor w(s).
3*s*(s + 1)*(s + 2)
Suppose 0*x - 8 = -4*x. Let -3*q - 2*q + 2*q**x + q = 0. Calculate q.
0, 2
Let x be 1/((-1)/2) + (-76)/(-19). Let -4/5*l**3 - 2/5*l**x + 4/5*l + 0 + 2/5*l**4 = 0. What is l?
-1, 0, 1, 2
Suppose 16/3*j + 16/3*j**3 + 4/3*j**4 + 4/3 + 8*j**2 = 0. What is j?
-1
Let v(w) be the second derivative of -w**6/180 + w**4/12 + w**3/3 - w. Let z(m) be the second derivative of v(m). Find s such that z(s) = 0.
-1, 1
Let w(o) be the first derivative of 0*o + 1/4*o**2 - 5 + 1/18*o**3. Suppose w(d) = 0. What is d?
-3, 0
Let y be -5 - -2 - 1 - -6. Factor 2/3*q**4 + 0*q + 4/3*q**3 + 2/3*q**y + 0.
2*q**2*(q + 1)**2/3
Let q(x) = 6*x**2 - 41*x + 11. Let s(v) = -v**2 + 8*v - 2. Let m(t) = 2*q(t) + 11*s(t). Solve m(a) = 0.
-6, 0
What is a in -2/17*a**5 + 8/17*a**3 + 0 - 6/17*a - 4/17*a**2 + 4/17*a**4 = 0?
-1, 0, 1, 3
Let n be (-80)/(-36) + (-2)/9. Factor -3*z**n + 6*z**3 + 0*z**2 + 5*z**2 - 2*z**5 + 2*z**2.
-2*z**2*(z - 2)*(z + 1)**2
Let z(b) = b**4 + b**2 + b. Let r(v) = 7*v**4 - 6*v**3 + v**2 + 10*v. Let a(c) = r(c) - 4*z(c). Suppose a(d) = 0. What is d?
-1, 0, 1, 2
Suppose -27*i + 29*i = 0. Let z(n) be the third derivative of 0 + i*n + 1/12*n**4 + 1/30*n**5 + 3*n**2 - 2/3*n**3. Factor z(p).
2*(p - 1)*(p + 2)
Let w = -878/21 + -2581/63. Let h = w - -83. Find z such that 0 + 4/9*z**2 + 2/9*z**3 + h*z = 0.
-1, 0
Suppose -36 = -0*n - n. Suppose n = -0*s + 4*s. Factor -3*g**3 + s*g**3 - 2*g**2 - 5*g**4 + g**3.
-g**2*(g - 1)*(5*g - 2)
Let c(u) = 6*u**2 + 5*u + 10. Let s(l) = -l**2 - l - 2. Let i(k) = 2*c(k) + 11*s(k). Let i(m) = 0. What is m?
-1, 2
Let y(b) be the first derivative of b**5/5 - 3*b**4/4 + 2*b**3/3 - 2. Factor y(a).
a**2*(a - 2)*(a - 1)
Let m(w) = -w**2 - 2*w - 1. Let j be m(-1). Factor 2*r**5 + j*r**3 + r**4 + 2*r**3 + 3*r**4.
2*r**3*(r + 1)**2
Let t(n) = 11*n**4 + 9*n**3 + 21*n**2 + 5*n - 6. Let i(m) = m**4 - m**3 + m**2 - 1. Let a(k) = -6*i(k) + t(k). Find x such that a(x) = 0.
-1, 0
Let z be 4*(1 - (-3 - -3)). Let v(b) be the second derivative of -b + 1/75*b**6 + 0 - 1/15*b**3 - 1/30*b**z + 0*b**2 + 1/50*b**5. Factor v(c).
2*c*(c - 1)*(c + 1)**2/5
Let d(z) be the second derivative of 0*z**3 + 1/90*z**5 + 1/2*z**2 + 0 + 0*z**4 - z. Let o(a) be the first derivative of d(a). Factor o(n).
2*n**2/3
Let c(m) = 2*m**3 - 3*m**2 + m - 3. Let r(h) = 4*h**3 - 5*h**2 + h - 5. Let g(f) = 5*c(f) - 3*r(f). Suppose g(l) = 0. Calculate l.
-1, 0, 1
Let d(m) be the third derivative of 6*m**2 + 0*m + 0 - 1/20*m**5 - 2*m**3 + 1/2*m**4. Factor d(y).
-3*(y - 2)**2
Let r be -3*169/(-273) + 1/7. Let -8/15 - 2/15*t**3 + 2/5*t**r + 0*t = 0. Calculate t.
-1, 2
Let q(o) = -o**2 + 4*o. Let l be q(4). Let b(x) = 5*x - 38. Let t be b(8). Factor -1/3*j**t + 0 + l*j.
-j**2/3
Let o(l) be the third derivative of 0*l - l**2 - 1/120*l**5 - 1/48*l**4 + 1/6*l**3 + 0. Factor o(y).
-(y - 1)*(y + 2)/2
Factor u - 10*u - 3*u**3 - 9*u**2 - 1 - 3 + 1.
-3*(u + 1)**3
Let f(p) be the first derivative of -1/6*p**2 + 3 + 0*p**5 - 1/18*p**6 + 0*p + 1/6*p**4 + 0*p**3. Factor f(v).
-v*(v - 1)**2*(v + 1)**2/3
Let x be (-2)/6 + 2 + -1. Let d be 0 + 2 - (4 - 6). Factor 2*q**3 + 0 - 2/3*q**d + x*q - 2*q**2.
-2*q*(q - 1)**3/3
Let b(x) be the second derivative of x**4/36 - x**3/6 - 53*x. Determine z so that b(z) = 0.
0, 3
Suppose r = 9*r - 24. Factor -2/9*b**4 - 2/3*b**2 + 0 + 2/3*b**r + 2/9*b.
-2*b*(b - 1)**3/9
Let z = 28 - 42. Let k be 2*1 + 7/z. Factor -3*m**3 + 4*m**4 + 0*m**2 + 0 - k*m**5 + 1/2*m.
-m*(m - 1)**3*(3*m + 1)/2
Let v be 195/315 - 1/3. Let 2/7*b**4 - 4/7*b**3 - v + 0*b**2 + 4/7*b = 0. Calculate b.
-1, 1
Let f(t) be the third derivative of t**7/3780 - t**4/12 + t**2. Let a(u) be the second derivative of f(u). Factor a(b).
2*b**2/3
Let m(l) = 0*l - 4 - 6*l + 8*l. Let c(d) = d**2 - 8*d + 16. Let h(b) = -2*c(b) - 9*m(b). Factor h(y).
-2*(y - 1)*(y + 2)
Let o(u) be the third derivative of -u**7/1260 + u**6/720 + u**5/360 - u**4/144 - 12*u**2. Factor o(m).
-m*(m - 1)**2*(m + 1)/6
Let s(g) be the second derivative of -2*g**6/5 - 11*g**5/5 - 17*g**4/4 - 4*g**3 - 2*g**2 + 4*g + 6. Solve s(l) = 0.
-2, -2/3, -1/2
Let r(p) be the first derivative of p**6/1080 - 2*p**3/3 - 4. Let m(z) be the third derivative of r(z). Factor m(j).
j**2/3
Suppose 0 = 2*w - 0*w. Let i(m) be the second derivative of 1/45*m**6 + 0 - 1/18*m**4 + 0*m**5 + w*m**2 + m + 0*m**3. Determine p, given that i(p) = 0.
-1, 0, 1
Let w = 3 - -2. Let i(k) = k**2 - 2*k + 2. Let b be -2 + 0 + 3 + 1. Let s(l) = -3*l**2 + 4*l - 5. Let v(x) = b*s(x) + w*i(x). Factor v(a).
-a*(a + 2)
Let a(k) be the third derivative of k**8/23520 - k**7/8820 + k**4/24 + 3*k**2. Let s(h) be the second derivative of a(h). Factor s(t).
2*t**2*(t - 1)/7
Let d be (70/425)/(-3 + 2). Let u = 4/17 - d. Suppose 0*t - u*t**5 + 2/5*t**2 + 0 + 2/5*t**3 - 2/5*t**4 = 0. What is t?
-1, 0, 1
Let f be 1*((3 - 1) + 3). Suppose u + u - 12 = 2*d, -5*u - 10 = f*d. Factor -u*j**4 + 3*j**4 + j**4 - 2*j**3.
2*j**3*(j - 1)
Let m = 2056/3093 + 2/1031. Factor 2/3*t**2 + 0 + m*t.
2*t*(t + 1)/3
Let x(q) = -2*q**2 - 10*q - 19. Let u(d) = -1. Let a(b) = -22*u(b) + 2*x(b). Factor a(i).
-4*(i + 1)*(i + 4)
Let m(z) be the second derivative of -99/20*z**5 - 27/20*z**6 - 3*z + 0 - 157/24*z**4 - 11/3*z**3 - z**2. Find y, given that m(y) = 0.
-1, -2/9
Let m(n) be the third derivative of n**8/1344 + n**7/210 - n**6/240 - n**5/30 + n**4/96 + n**3/6 - 13*n**2. Suppose m(x) = 0. Calculate x.
-4, -1, 1
Let j = -418 + 418. Find f such that 3*f**4 + 3/2*f**5 + 3/2*f**3 + 0 + j*f**2 + 0*f = 0.
-1, 0
Let p(o) = -o**3 - 3*o**2 - 2*o - 4. Let r be p(-3). Solve -2*g**3 - r*g**4 - 2*g**3 + 0*g**4 = 0 for g.
-2, 0
Let z(x) = x + 16. Let i be z(-12). Factor 3*m - 2*m**i - 30*m**3 + 11*m**4 + 2*m + 7*m + 21*m**2 - 12.
3*(m - 2)*(m - 1)**2*(3*m + 2)
Suppose 9*k - 16 = 5*k. Let g be k + ((-27)/6 - -1). Find n such that 1/2*n**2 - 1/2*n - 1/2 + g*n**3 = 0.
-1, 1
Let d(p) be the third derivative of p**5/12 + 5*p**4/12 - 5*p**3/2 - 24*p**2. Factor d(l).
5*(l - 1)*(l + 3)
Let q(b) be the second derivative of b**5/30 + b**4/18 - b**3/9 - b**2/3 + 4*b. Factor q(i).
2*(i - 1)*(i + 1)**2/3
Suppose -4*z**2 + 4*z**4 + 13*z - 8*z - z**5 - 2*z - 2*z**3 = 0. What is z?
-1, 0, 1, 3
Let 6 + 16*r + 10 + 2*r**2 + 21 - 5 = 0. Calculate r.
-4
Factor -9*t**2 + 0 - 23*t + 6 + 3*t**3 - 9*t + 29*t + 3*t**4.
3*(t - 1)**2*(t + 1)*(t + 2)
Let r(s) be the first derivative of 2/9*s**3 + 0*s**2 - 2/3*s + 4. Factor r(c).
2*(c - 1)*(c + 1)/3
Suppose 32*t - 2*t**5 - 50*t**2 - 8 + 3*t**5 + 38*t**3 + t**5 - 14*t**4 = 0. What is t?
1, 2
Let x(v) be the third derivative of v**7/1575 - v**6/450 + v**4/90 - v**3/45 + 9*v**2. Factor x(z).
2*(z - 1)**3*(z + 1)/15
Let w be 0 - (-16)/(-4) - -4. Factor 0*r + w - 2/5*r**2.
-2*r**2/5
Let b(a) = -3*a**3 - 3*a**2 - 7*a - 7. Let s(r) = r**3 + r**2 + 3*r + 3. Let u(n) = 2*b(n) + 5*s(n). Determine f, given that u(f) = 0.
-1, 1
Let m(f) be the second derivative of -f**4/8 - 7*f. Factor m(z).
-3*z**2/2
Suppose -52/3*j**3 + 4/3*j - 12*j**2 - 20/3*j**4 + 8/3 = 0. What is j?
-1, 2/5
Let g(z) be the second derivative of z**6/2 - z**5/4 - 25*z**4/12 + 5*z**3/6 + 5*z**2 - 11*z. Solve g(w) = 0 for w.
-1, -2/3, 1
Factor 1/2*p + 1/2*p**3 + p**2 + 0.
p*(p + 1)**2/2
Let k be 1/(-2) - 5/(-2). What is d in 2*d**3 + d - 2*d**5 + 6*d**4 - 5*d - d**5 - 6*d**k + 5*d**5 = 0?
-2, -1, 0, 1
Let 0 + 3*k**2 - 6 + 21 - 18*k = 0. What is k?
1, 5
Let z(x) = 6*x + 4*x**2 - 5*x**2 - 3 - 2*x. Let j(p) = -p**2 + 6*p - 5. Let q(n) = -5*j(n) + 7*z(n). Suppose q(l) = 0. What is l?
-2, 1
Let h = -563 - -569. Factor -9*t**3 - 3/2*t**5 + 6*t**2 + h*t**4 - 3/2*t + 0.
-3*t*(t - 1)**4/2
Suppose -23 = -5*r + 37. Suppose 16 - 2 = 5*y + z, 3*z - r = 0. Find j, given that -2/3*j**4 + 2/3*j**3 + 2/3*j**y + 0 - 2/3*j = 0.
-1, 0, 1
Let o(h) be the second derivative of h**4/54 - 4*h**3/9 + 4*h**2 + 15*h. Solve o(d) = 0.
6
Let u be (3/28 - -1) + (-1)/4. Solve u*b**4 + 6/7*b - 4/7*b**3 - 2/7 - 2/7*b**5 - 4/7*b**2 = 0.
-1, 1
Let m(u) be the first derivative of -u**4/54 - u**3/27 + 5*u - 2. Let y(r) be the first derivative of m(r). Determine l so that y(l) = 0.
-1, 0
Suppose -16*t + 49 = 17. Factor -2*n**3 + t*n**4 + 0*n