(t) = 0. What is t?
-3, -1, 1
Let s(p) be the first derivative of -3/2*p**2 + 3/2*p**3 + 1/4*p**6 + 3/8*p**4 + 0*p - 5 - 9/10*p**5. Solve s(n) = 0.
-1, 0, 1, 2
Let y = -393 - -395. Let 1 + y*a + 3/4*a**2 = 0. What is a?
-2, -2/3
Let g(a) be the third derivative of a**7/105 - a**6/90 - a**5/90 + 7*a**2. Factor g(n).
2*n**2*(n - 1)*(3*n + 1)/3
Let a = 75 - 70. Let x(u) be the third derivative of 0*u + 0*u**a + 0 - 1/40*u**6 + u**2 + u**3 + 3/8*u**4. Factor x(y).
-3*(y - 2)*(y + 1)**2
Factor 4/7 - 1/7*z - 4/7*z**2 + 1/7*z**3.
(z - 4)*(z - 1)*(z + 1)/7
Factor -4/9 - 2/3*u + 2/9*u**3 + 0*u**2.
2*(u - 2)*(u + 1)**2/9
Let r be -23 + (-4)/((-4)/3). Let d be r/30*(-3 - 0). Let 4/3 + 2*h**d + 14/3*h**3 - 14/3*h - 10/3*h**4 = 0. Calculate h.
-1, 2/5, 1
Let s = 213 - 647/3. Let z = -2 - s. Solve 4/3*l + 2/3*l**2 + z = 0 for l.
-1
Let m(j) be the first derivative of j**5/15 - j**4/12 - j**3/3 - 3*j**2/2 + 3. Let q(v) be the second derivative of m(v). Factor q(n).
2*(n - 1)*(2*n + 1)
Factor -3*a**4 - 5*a**5 - 3*a**3 - 2*a**4 + a**3 + 12*a**3.
-5*a**3*(a - 1)*(a + 2)
Find o, given that -3/5*o**4 + 0 + 0*o + 9/5*o**2 + 6/5*o**3 = 0.
-1, 0, 3
Let u(v) be the second derivative of 27*v**8/2240 + v**7/56 - 2*v**6/45 + v**5/30 + v**4/3 - 2*v. Let a(j) be the third derivative of u(j). Factor a(f).
(f + 1)*(9*f - 2)**2
Let t(o) be the second derivative of o**4/6 + 14*o**3/3 + 49*o**2 - 5*o + 2. What is a in t(a) = 0?
-7
Let x(h) be the third derivative of h**8/168 + h**7/21 + 2*h**6/15 + 2*h**5/15 - 4*h**2. Factor x(w).
2*w**2*(w + 1)*(w + 2)**2
Let w(x) be the third derivative of -2/75*x**5 - 4/525*x**7 + 1/840*x**8 + 0*x + 1/60*x**4 + 0 + 1/50*x**6 - x**2 + 0*x**3. Factor w(q).
2*q*(q - 1)**4/5
Let h(g) = -22*g + 313. Let x be h(14). Determine q so that 0 + 1/2*q**x + 0*q**2 + 0*q + 1/2*q**3 - q**4 = 0.
0, 1
Let b(k) = k + 23. Let a be b(-11). Factor -20 + 2*q**2 + 8 - a*q - 5*q**2.
-3*(q + 2)**2
Let a(x) be the second derivative of 0 - 1/4*x**3 + x - 1/16*x**4 + 0*x**2. Solve a(l) = 0 for l.
-2, 0
Let q = -2/15 + 19/30. Factor -2*n**3 + 0 + q*n**2 + 0*n.
-n**2*(4*n - 1)/2
Let a(y) be the first derivative of -y**3/5 - 3*y**2/5 - 3*y/5 - 6. Solve a(s) = 0 for s.
-1
Let d(f) = -f**3 - 4*f**2 + 5*f - 5. Let z be d(-5). Let l = -3 - z. Determine a, given that -a + a**3 + 4*a - 4*a**3 + 3*a**l + 0 - 3 = 0.
-1, 1
Let v(m) be the third derivative of 2*m**7/735 - 3*m**6/70 + m**5/7 - m**4/6 - m**2. Let v(h) = 0. What is h?
0, 1, 7
Let o(c) = -c**3 + 4*c**2 - 2*c - 3. Let t be o(3). Let i(b) = -b**2 - b + 2. Let x be i(t). What is d in -x*d**2 + d**2 + 2*d**3 - d**2 = 0?
0, 1
Let w(d) = d**3 - 1. Let i(f) = 7*f**3 - 3*f - 4. Let n be -1*(-2 + 5)/3. Let x(c) = n*i(c) + 4*w(c). Factor x(u).
-3*u*(u - 1)*(u + 1)
Let q(v) be the first derivative of -v**7/4200 + v**6/1800 + v**5/120 + v**4/40 - 4*v**3/3 - 4. Let a(t) be the third derivative of q(t). Factor a(s).
-(s - 3)*(s + 1)**2/5
Let j(k) be the first derivative of 2*k**3/21 + 6*k**2/7 + 18*k/7 - 3. Factor j(w).
2*(w + 3)**2/7
Let c = 293/5 - 58. Factor c*l**2 + 0 + 0*l**3 + 0*l - 3/5*l**4.
-3*l**2*(l - 1)*(l + 1)/5
Let l(k) be the third derivative of 0*k - 1/6*k**4 + 0 + 3*k**2 + 1/3*k**3 + 1/30*k**5. Factor l(q).
2*(q - 1)**2
Suppose 3*c - 7*c = -16. Let o(i) be the first derivative of 1/4*i**3 + 1/4*i**2 - 1/4*i + c. Find f such that o(f) = 0.
-1, 1/3
Let y = 13 - 11. Factor 1 + 7 - 7*h - 3*h - 4 - 84*h**y.
-2*(6*h - 1)*(7*h + 2)
Find n such that 32/11*n**4 - 146/11*n**3 + 432/11 - 2/11*n**5 + 36/11*n**2 + 648/11*n = 0.
-1, 6
Suppose 0 = -3*m - 3 + 9. Determine g, given that 3/2*g**m - 1/2*g - 1 = 0.
-2/3, 1
Let h(f) be the second derivative of 0 - 1/42*f**4 - f - 9/7*f**2 + 2/7*f**3. Suppose h(v) = 0. What is v?
3
Let b be 1*(-4 + 3)*-2. Let q be ((-8)/(-2))/(28/b). Suppose 0 + 2/7*i - q*i**2 = 0. Calculate i.
0, 1
Suppose 10*b - 14 - 16 = 0. Factor 0 + 4/3*p**b + 0*p + 4/3*p**2.
4*p**2*(p + 1)/3
Let i = -13 - -4. Let g = 11 + i. Find c, given that 1/2*c**4 - 1/2*c + 0 - 1/2*c**g + 1/2*c**3 = 0.
-1, 0, 1
Let x be (7/3)/(4/(-12)). Let k = -5 - x. Let -1/4*j**k - 1/4*j**4 + 0 + 0*j + 1/2*j**3 = 0. Calculate j.
0, 1
Let s(x) be the second derivative of -1/60*x**5 - 1/360*x**6 + 0 - 1/24*x**4 + 1/6*x**3 + x + 0*x**2. Let f(w) be the second derivative of s(w). Solve f(a) = 0.
-1
Factor 3*f**3 - 29*f - 24 - 3*f**4 + 47*f + 3*f**2 - 30*f + 15*f**2.
-3*(f - 2)**2*(f + 1)*(f + 2)
Let w(c) = -c**2 - 29*c - 120. Let t be w(-24). Suppose 2/9 + t*r - 2/9*r**2 = 0. Calculate r.
-1, 1
Let s(k) be the first derivative of -k**8/1344 + k**6/480 - 9*k**2/2 + 8. Let g(n) be the second derivative of s(n). Factor g(x).
-x**3*(x - 1)*(x + 1)/4
Let x(g) = -g**3 - 11*g**2 - g - 5. Let b be x(-11). Suppose j = b*j - 10. Factor 2*z**3 - 3*z**2 + 2*z**j - 3*z**4 + 2*z**4.
-z**2*(z - 1)**2
Let u = -568/3 - -190. Suppose -u*d - 4/3 + 2/3*d**2 = 0. Calculate d.
-1, 2
Let l(r) be the second derivative of -r**8/6720 + r**6/720 + r**4/6 - r. Let y(h) be the third derivative of l(h). Factor y(k).
-k*(k - 1)*(k + 1)
Suppose 5*o + 4 = -3*k, -5*o - 3*k - 2*k = 10. Let t(b) be the first derivative of 8*b + 2/3*b**3 + o + 4*b**2. Factor t(l).
2*(l + 2)**2
Suppose 4*x = 3*x + 4. Factor -8*w**x + 3 + 10*w - 9*w**3 - 5 - 2*w**5 + w**3 + 4*w**2 + 6.
-2*(w - 1)*(w + 1)**3*(w + 2)
Let u(z) be the first derivative of z**6/9 - 8*z**5/15 + 2*z**4/3 - 4. Suppose u(h) = 0. What is h?
0, 2
Let 1 - 5/2*n + 2*n**2 - 1/2*n**3 = 0. What is n?
1, 2
Let j(r) be the third derivative of r**5/40 - 9*r**4/16 + 2*r**3 + 4*r**2. Factor j(l).
3*(l - 8)*(l - 1)/2
Let v = 27/38 - 4/19. Factor v*j**2 + 0 + 1/2*j.
j*(j + 1)/2
Let d(f) be the second derivative of -f**6/105 - f**5/70 + 5*f**4/21 - 8*f**3/21 - f - 8. Factor d(l).
-2*l*(l - 2)*(l - 1)*(l + 4)/7
Let m(w) = -w**3 - 1. Let z(s) = 6*s**3 - 3*s**2 - 6*s + 3. Let x(j) = 3*m(j) + z(j). Factor x(a).
3*a*(a - 2)*(a + 1)
Factor -2*a - 4*a - 27*a**2 + 4 + 2*a**3 + 27*a**2.
2*(a - 1)**2*(a + 2)
Determine l, given that -8/7*l**2 + 0 - 30/7*l**3 + 10/7*l**5 - 4/7*l**4 + 8/7*l = 0.
-1, 0, 2/5, 2
Let g = -1 + -1. Let n be 4 + ((-32)/(-5))/g. Factor -n - 2/5*u + 2/5*u**2.
2*(u - 2)*(u + 1)/5
Let k = 448 - 1343/3. Let -5/3*t**4 + k - 2/3*t**5 + 4/3*t**2 + 4/3*t - 2/3*t**3 = 0. What is t?
-1, -1/2, 1
Let l(u) be the second derivative of 0 + 1/36*u**4 + 1/60*u**5 + 0*u**2 - 1/126*u**7 + 4*u - 1/90*u**6 + 0*u**3. Let l(n) = 0. What is n?
-1, 0, 1
Let j be 360/(-150)*((-50)/(-33))/(-1). Suppose j*x**2 - 8/11*x - 74/11*x**3 - 18/11*x**5 + 0 + 60/11*x**4 = 0. What is x?
0, 2/3, 1
Suppose -7*r = -2*r. Let m(g) be the first derivative of 2/3*g**3 + r*g - 2 + g**2. What is i in m(i) = 0?
-1, 0
Let d(p) be the third derivative of -2*p**5/15 - p**4/3 + 7*p**3/3 + 7*p**2. Let f(s) = -3*s**2 - 3*s + 5. Let k(c) = 5*d(c) - 14*f(c). Factor k(t).
2*t*(t + 1)
Let m(d) = -d**3 + 3*d**2. Suppose -4*i + 3*t = -12, -4*i + t + 12 = -0*t. Let r be m(i). What is h in 1/3*h**3 - 1/3*h**2 + 0 + r*h = 0?
0, 1
Solve 1 + 12*g**2 - 3 - 8*g**3 - 2 + 0*g**3 = 0 for g.
-1/2, 1
Suppose -8 = -3*y + y. Factor t**4 + 2*t**3 - 2 + 2 - 4*t**y.
-t**3*(3*t - 2)
Let o = -1242/5 - -252. Factor 12/5*v + o + 2/5*v**2.
2*(v + 3)**2/5
Factor -i**2 - 31*i + 2*i**2 - 2 + 30*i.
(i - 2)*(i + 1)
Suppose -3*f + 2*t = -0*t - 13, 2*f - 3*t = 12. Factor -q**2 + 0 - f + 2*q - 3 + 5.
-(q - 1)**2
Factor -2*r**2 - 26*r + 48*r - 48*r.
-2*r*(r + 13)
Let q(b) be the first derivative of 1/6*b**3 + 0*b**2 + 2 + 1/8*b**4 + 0*b. Factor q(i).
i**2*(i + 1)/2
Suppose 0*n + 4*n + 3*c = 0, 0 = -3*n - 4*c - 7. Let u be (-2)/n - (-28)/6. Factor -d**2 + 1/2 - d**3 + 1/2*d**5 + 1/2*d**u + 1/2*d.
(d - 1)**2*(d + 1)**3/2
Factor 1/3*z**2 - 5/3*z + 2.
(z - 3)*(z - 2)/3
Let s be (30/45)/(3*(-1)/(-2)). Determine l, given that 2/9*l + 16/9*l**4 + s - 20/9*l**2 - 10/9*l**5 + 8/9*l**3 = 0.
-1, -2/5, 1
Find h such that -4*h - 3*h**5 - 186*h**3 - 7 + 56*h**2 - 28*h**4 - h**5 - 21 + 194*h**3 = 0.
-7, -1, 1
Let i(b) be the first derivative of -2 + 6/17*b**3 - 1/34*b**4 - 27/17*b**2 + 54/17*b. Factor i(m).
-2*(m - 3)**3/17
Let a(q) be the third derivative of q**8/2800 - q**6/600 - q**3 + 2*q**2. Let r(d) be the first derivative of a(d). Determine z, given that r(z) = 0.
-1, 0, 1
Let o(j) = 3*j - 1. Let c be o(1). Factor b**3 