*(c - 1)**2/5
Factor -3/4 - 3/2*g - 3/4*g**2.
-3*(g + 1)**2/4
Factor 2*c - 1 - 6*c**2 + 3*c**2 + 4*c - 2.
-3*(c - 1)**2
Let i(p) be the third derivative of -p**8/840 + p**7/175 - p**6/150 - p**5/75 + p**4/20 - p**3/15 + 3*p**2. Suppose i(j) = 0. What is j?
-1, 1
Factor 1/3*q - 2/3 - 1/3*q**4 - 1/3*q**3 + q**2.
-(q - 1)**2*(q + 1)*(q + 2)/3
Let s(z) be the second derivative of z**8/5600 - z**7/6300 - z**6/900 + z**4/3 + 4*z. Let j(d) be the third derivative of s(d). Solve j(f) = 0.
-2/3, 0, 1
Let r(p) be the first derivative of -1/10*p**2 - 2 + 1/15*p**3 + 0*p. Factor r(i).
i*(i - 1)/5
Let f be -1 + 8/2 + 0. Factor -z + 6*z**2 + f*z + 0*z**2 - 4*z**2.
2*z*(z + 1)
Suppose 18*o - 17*o - 3 = 0. Suppose -3/4*m + o*m**4 - 7/2*m**2 + 7/4*m**5 + 1/2 - m**3 = 0. What is m?
-1, 2/7, 1
Let d(n) be the second derivative of n**7/70 + n**6/50 - 3*n**5/20 - n**4/4 + 2*n**3/5 + 6*n**2/5 + 32*n. Solve d(s) = 0 for s.
-2, -1, 1, 2
Let t(i) be the third derivative of -i**8/252 - i**7/45 - 19*i**6/360 - 5*i**5/72 - i**4/18 - i**3/36 + 25*i**2. Let t(c) = 0. Calculate c.
-1, -1/2
Factor 5*j**3 - 6*j**5 + 8*j**4 - 3*j**3 - 4*j**2 + 0*j**3.
-2*j**2*(j - 1)**2*(3*j + 2)
Let v be (-3)/51*(-2 - -4). Let a = 11/51 - v. Solve a + 2/3*w - 2/3*w**3 + 0*w**2 - 1/3*w**4 = 0.
-1, 1
Let i be (2/21)/((-1)/6*-2). Let z = 1010/7 + -144. Factor i*m - z*m**4 + 0 - 2/7*m**3 + 2/7*m**2.
-2*m*(m - 1)*(m + 1)**2/7
Suppose 0*m + 4*g = -4*m + 52, 0 = 3*g - 15. Suppose 0 = -4*b + m*b - 8. Factor 1/3*y**3 + 0 + 2/3*y**b + 1/3*y.
y*(y + 1)**2/3
Suppose p - 5*f + 17 = 20, -4*f = -p + 3. Factor 0*l + 3*l**p + 2/3*l**2 + 0 + 7/3*l**4.
l**2*(l + 1)*(7*l + 2)/3
Let h(n) be the second derivative of 17/30*n**6 + 2/7*n**7 + 0*n**2 + 0 + 3/20*n**5 - 1/6*n**4 + 3*n + 0*n**3. Determine l so that h(l) = 0.
-1, -2/3, 0, 1/4
Let t(b) be the third derivative of b**6/30 + b**5/5 + b**4/3 - 3*b**2. Suppose t(u) = 0. Calculate u.
-2, -1, 0
Let x = 11 - 8. Factor -x*n**3 + 3*n - n + n.
-3*n*(n - 1)*(n + 1)
Let b(s) be the third derivative of -s**6/600 + s**4/120 - 4*s**2. Solve b(z) = 0.
-1, 0, 1
Factor -8788*o + 0*o**4 - o**4 - 442*o**2 - 52*o**3 - 572*o**2 - 28561.
-(o + 13)**4
Let a(z) be the third derivative of -1/210*z**5 - 4*z**2 + 0*z**4 + 0*z + 1/21*z**3 + 0. Factor a(x).
-2*(x - 1)*(x + 1)/7
Let l(f) = f**3 + 7*f**2 + 5*f + 3. Let x be l(-6). Let c = 11 - x. Suppose 2/7*p**c + 2/7*p + 0 = 0. Calculate p.
-1, 0
Let q = 29 - 25. Let s(y) be the second derivative of 2*y + 4/15*y**5 + 16/3*y**2 + 4/3*y**q + 0 + 1/45*y**6 + 32/9*y**3. Let s(p) = 0. What is p?
-2
Let h(p) be the second derivative of -1/50*p**6 + 0*p**3 + 0*p**2 - 4*p + 1/20*p**4 + 0*p**5 + 0. Factor h(w).
-3*w**2*(w - 1)*(w + 1)/5
Let j(u) be the third derivative of 5*u**8/168 + u**7/14 - u**6/12 - u**5/3 + 5*u**3/6 - 15*u**2. Suppose j(c) = 0. Calculate c.
-1, 1/2, 1
Let u be -5*2*(-3)/6. Let x(t) be the second derivative of -3/50*t**u - 1/15*t**3 + t + 0*t**2 - 1/10*t**4 + 0 - 1/75*t**6. Factor x(m).
-2*m*(m + 1)**3/5
Let g(w) = 5*w + 10. Let s be g(7). Let y be (-34)/(-10) + (-18)/s. Find a such that -a**5 + 2*a**2 - 1 + 2*a**y + 8*a**4 + 0*a**4 - 9*a**4 - a = 0.
-1, 1
Let j(t) = -t**3 - 5*t**2 + 4. Let q be j(-5). Suppose 0 = -q*a - a. Factor -2/11*c**3 + a*c - 2/11*c**2 + 0.
-2*c**2*(c + 1)/11
Let j(l) be the third derivative of -l**5/90 + l**3/9 - 61*l**2. What is k in j(k) = 0?
-1, 1
Let b(f) be the third derivative of -7*f**6/120 - f**5/30 + 7*f**2. Factor b(i).
-i**2*(7*i + 2)
Let f(u) be the second derivative of 8*u + 0 - 1/15*u**3 - 1/30*u**4 + 0*u**2. Factor f(b).
-2*b*(b + 1)/5
Let b(x) = 4*x**2 - 8*x - 12. Let v be 2/(30/(-9) + 4). Let o(y) = -12*y**2 + 24*y + 36. Let m(q) = v*o(q) + 8*b(q). Determine s so that m(s) = 0.
-1, 3
Let y(j) be the third derivative of j**5/45 - j**4/6 + 4*j**3/9 + 11*j**2. Suppose y(d) = 0. What is d?
1, 2
Let z = 399/46 + 8092/23. Let g = -6445/18 + z. Solve -g*f**2 + 0 - 4/9*f - 14/9*f**4 - 32/9*f**3 = 0 for f.
-1, -2/7, 0
Suppose 0 = 2*g - 8, 3*r + 14 = r + 4*g. Let i = r - -2. Find c, given that 1/4*c**5 + 1/4*c - 1/2*c**i + 1/4*c**4 - 1/2*c**2 + 1/4 = 0.
-1, 1
Let n(b) be the first derivative of b**3 + 3*b**2/2 + 10. Factor n(p).
3*p*(p + 1)
Let f(p) be the third derivative of p**7/140 + p**6/20 + p**5/8 + p**4/8 + 3*p**2. Determine q, given that f(q) = 0.
-2, -1, 0
Let u be 18/(-63)*1/(-1). Factor -u*n**3 + 0*n + 0 + 2/7*n**4 + 0*n**2.
2*n**3*(n - 1)/7
Determine m so that -15/2*m + 31/4*m**2 - 3/2*m**3 + 2 = 0.
1/2, 2/3, 4
Let s = 4 + -1. Suppose 6*p + 4*x = p - 5, 5*x + 25 = 0. Factor 0*r**3 + r**p + 0*r**s - r**2.
r**2*(r - 1)
Let l(j) be the second derivative of j**4/12 - j**2/2 + 6*j. Factor l(z).
(z - 1)*(z + 1)
Factor -15/4*l**2 - 3*l + 3/4.
-3*(l + 1)*(5*l - 1)/4
Let j(p) = 2*p**2 + 9*p + 7. Let n be j(-1). Solve n*d**4 + 4/3*d**3 - 2/3*d**5 + 0*d**2 + 0 - 2/3*d = 0.
-1, 0, 1
Let z(x) = -5*x**2 + 7*x - 4. Let a(r) = -r**2 + r - 1. Let m(h) = 4*a(h) - z(h). Factor m(d).
d*(d - 3)
Let m(y) be the first derivative of y**6/2 - 9*y**4/4 - 2*y**3 + 8. Let m(c) = 0. Calculate c.
-1, 0, 2
Let r(h) = -h**2 - h + 2. Let m be r(0). Suppose m*l + 2*y = -2*y + 10, -l + y = -11. Solve -l*v**3 + 1 + 1 - 3*v**2 + 15*v**2 + 19*v - 8*v = 0.
-1/3, 2
Let r(i) be the third derivative of -13*i**5/102 - 4*i**4/51 + 4*i**3/51 + i**2 - 3*i. Determine c, given that r(c) = 0.
-2/5, 2/13
Let d(z) be the third derivative of 3*z**6/200 - z**5/50 - z**4/40 + 19*z**2. Solve d(c) = 0.
-1/3, 0, 1
Let o(n) be the second derivative of 12*n**5/5 - 6*n**4 - 15*n**3/2 - 3*n**2 + 57*n. Factor o(r).
3*(r - 2)*(4*r + 1)**2
Let i(h) = -2*h - 5. Let o be i(-4). Determine u so that -o*u**5 - 4*u**3 + 4*u**3 - 4*u**4 + u**4 = 0.
-1, 0
Let w(y) be the second derivative of y**10/15120 - y**8/1680 + y**6/360 + y**4/12 + y. Let q(m) be the third derivative of w(m). Factor q(b).
2*b*(b - 1)**2*(b + 1)**2
Let i(v) be the second derivative of 3*v**7/28 + v**6/3 + 13*v**5/40 + v**4/12 + 4*v. Factor i(b).
b**2*(b + 1)**2*(9*b + 2)/2
Let c(y) be the second derivative of y**6/15 + y**5/2 - y**4/6 - 5*y**3/3 + 31*y. Factor c(u).
2*u*(u - 1)*(u + 1)*(u + 5)
Let k be (-2 + 7)*(-4)/(-10). Determine p, given that -5*p - 3*p**2 + 10*p + 6 - k*p = 0.
-1, 2
Let l(r) be the second derivative of -49*r**6/480 + 7*r**5/40 - r**4/8 + r**3/2 - 4*r. Let f(v) be the second derivative of l(v). Factor f(a).
-3*(7*a - 2)**2/4
Let g = -1 - -3. Factor g*l - 2*l**3 + 8*l**2 - 8*l**2 + 0*l**2.
-2*l*(l - 1)*(l + 1)
Let f(d) be the first derivative of -21*d**4/4 + 9*d**3 - 3*d**2 + 6. Factor f(m).
-3*m*(m - 1)*(7*m - 2)
Factor 0*s + 1/4*s**3 + 0 - s**2.
s**2*(s - 4)/4
Let u(i) be the first derivative of -1/45*i**6 + 0*i**4 + 0*i**2 - 4/75*i**5 - 3 + 0*i**3 + 0*i. Factor u(f).
-2*f**4*(f + 2)/15
Let b(s) be the first derivative of -s**6/24 - s**5/20 + s**4/16 + s**3/12 + 15. Let b(t) = 0. Calculate t.
-1, 0, 1
Suppose -4*q + 24 = 2*a, 5*a = -0*q - 2*q + 36. Suppose -3 - 2*c - c + 3*c + 9*c**2 - a*c = 0. Calculate c.
-1/3, 1
Suppose 3 = 4*z - 3*z. Let i(h) = h**4 + h**3 + 3*h**2 - 3*h. Let j(a) = 2*a**3 + 2*a**2 - 2*a. Let f(x) = z*j(x) - 2*i(x). Factor f(q).
-2*q**3*(q - 2)
Let k(q) = -2*q - 47 + 43 - 2*q**2 + q + 3*q**2. Let g be k(-2). Factor 0 + 0*c + 1/2*c**g + 1/2*c**3.
c**2*(c + 1)/2
What is h in 5*h**5 - 10*h**3 - 2 + 5*h + 2 = 0?
-1, 0, 1
Let h(a) = -5*a**2 - 14*a - 77. Let n(w) = 4*w**2 + 15*w + 78. Let r(o) = 3*h(o) + 4*n(o). Solve r(q) = 0.
-9
Let y(v) = 10*v**2 - 6*v - 4. Let x(s) = 4*s + 12 - 21*s**2 + 9*s - 3 - s. Let w(l) = 6*x(l) + 13*y(l). Find q, given that w(q) = 0.
1/2, 1
Factor -2/9*d**3 + 8/3*d**2 + 128/9 - 32/3*d.
-2*(d - 4)**3/9
Suppose 4*f - 44 = 6*f. Let h be 4/(-22) + (-70)/f. Factor -3*l**4 - 5*l + h*l**2 + 2*l - 3*l**3 + 6*l**3.
-3*l*(l - 1)**2*(l + 1)
Let q = -35 - -19. Let x be (-15 - q)/((-14)/(-40)). Determine b so that -10/7*b**4 - 2/7*b**5 - 10/7*b - x*b**2 - 2/7 - 20/7*b**3 = 0.
-1
Let o(m) be the first derivative of -m**4/20 - m**3/15 + m**2/5 + 73. Factor o(l).
-l*(l - 1)*(l + 2)/5
Let v(w) be the first derivative of -6*w**5/25 - w**4/5 + 32*w**3/15 - 14*w**2/5 + 6*w/5 + 11. Solve v(p) = 0 for p.
-3, 1/3, 1
Let k(r) be the first derivative of r**7/525 - 17*r**6/900 + r**5/15 - r**4/15 + r**3 + 1. Let g(d) be the third deriva