 - m - 1/3*m**4 - 1/6*m**3. Let c(g) = 0. What is g?
-1/4, 0
Let c(o) be the second derivative of -1/3*o**3 + 4*o - 1/2*o**2 - 1/12*o**4 + 0. Find k such that c(k) = 0.
-1
Let h(c) be the second derivative of -9*c**6/5 - 18*c**5/5 - 3*c**4 - 4*c**3/3 - c**2/3 - 6*c. Find z, given that h(z) = 0.
-1/3
Suppose 2*i = 5 - 3. Factor i + 6*y + 20*y**2 - 4*y**2 - 6 + 6*y**3 + 1.
2*(y + 1)*(y + 2)*(3*y - 1)
Factor 0 + 0*j + 0*j**2 + 3/7*j**4 + 6/7*j**3.
3*j**3*(j + 2)/7
Let r(a) be the first derivative of a**6/540 - a**5/180 + 2*a**3/3 - 3. Let p(i) be the third derivative of r(i). Suppose p(z) = 0. What is z?
0, 1
Let g = 5 - 3. Determine x, given that 1 - 4 + 0*x**2 + 3*x**g = 0.
-1, 1
Suppose 6 = -2*g + 10. Factor -9*q**3 - 94*q - 3*q**g + 94*q - 9*q**4 - 3*q**5.
-3*q**2*(q + 1)**3
Let y(w) be the second derivative of 5*w**4/42 + 17*w**3/21 + 6*w**2/7 - 10*w. Factor y(a).
2*(a + 3)*(5*a + 2)/7
Let p(q) be the third derivative of q**8/3360 - q**7/150 + 3*q**6/50 - 4*q**5/15 + 8*q**4/15 + 22*q**2. What is o in p(o) = 0?
0, 2, 4
Let r(f) = -f**5 + 7*f**4 - 6*f**3 + 2*f**2 + 3*f - 1. Let h(v) = 2*v**5 - 13*v**4 + 11*v**3 - 3*v**2 - 6*v + 2. Let m(w) = 4*h(w) + 7*r(w). Factor m(d).
(d - 1)**4*(d + 1)
Let j be ((-2)/3)/(9 - 11). Factor j*c - 2/3 + 1/3*c**2.
(c - 1)*(c + 2)/3
Let v be -2 - 6/(2 + -4). Let f(g) = 18*g**2 - 12*g - 15. Let x(a) = -a**2 + a + 1. Let n(t) = v*f(t) + 15*x(t). Suppose n(c) = 0. What is c?
-1, 0
Let w(j) = -12*j**4 - 18*j**3 - 15*j**2 + j. Let n(l) = -13*l**4 - 17*l**3 - 14*l**2 + 2*l. Let z(p) = -5*n(p) + 6*w(p). Determine c so that z(c) = 0.
-2, -1, -2/7, 0
Let -3*v**3 + 4*v - v**3 + 10*v**2 + 8 + 6*v**2 - 24*v**2 = 0. Calculate v.
-2, -1, 1
Let u be (-3)/(-4 + 20/10). Find p such that -15/4*p**4 + u - 21/4*p**3 + 21/4*p + 9/4*p**2 = 0.
-1, -2/5, 1
Let p(r) be the first derivative of -2 + 2/45*r**3 + 8/15*r - 4/15*r**2. Suppose p(q) = 0. What is q?
2
Let h(g) be the first derivative of -3/7*g**2 + 2 - 3/7*g - 1/7*g**3. Factor h(m).
-3*(m + 1)**2/7
Suppose 0 = -2*k - 3*r - 15, -20 = 4*k - 2*k + 4*r. Factor k*y - 2/3 + 2/3*y**2.
2*(y - 1)*(y + 1)/3
Let h(q) be the third derivative of 5*q**8/336 - q**7/21 + q**6/24 - 4*q**2. Find f, given that h(f) = 0.
0, 1
Let m(c) be the second derivative of c**5/180 + c**4/36 - c**3/54 - c**2/6 + 18*c. Determine u, given that m(u) = 0.
-3, -1, 1
Let v = 927/5 - 185. Factor 0 + 6/5*g**2 + v*g + 6/5*g**3 + 2/5*g**4.
2*g*(g + 1)**3/5
Solve -4/11*p + 0 + 15/11*p**5 - 34/11*p**4 + 4/11*p**2 + 19/11*p**3 = 0 for p.
-2/5, 0, 2/3, 1
Determine b so that 6*b**2 - 1/5*b - 1 + 3/5*b**5 + 23/5*b**4 + 46/5*b**3 = 0.
-5, -1, 1/3
Let j(p) = -p - 4. Let b be j(-4). Determine c so that 6*c - 3*c + b + 15*c**4 - 3*c**3 - 1 - 19*c**4 + 5*c**2 = 0.
-1, 1/4, 1
Let a(w) be the third derivative of -1/48*w**6 - 1/48*w**4 - 1/30*w**5 - 1/210*w**7 + 4*w**2 + 0*w**3 + 0 + 0*w. Determine l so that a(l) = 0.
-1, -1/2, 0
Let c be ((-9)/12)/((-1)/4). Let q(s) = 2*s**2 - 3*s - 4. Let i be q(c). What is o in 0 + 0*o + 2/7*o**i + 2/7*o**3 + 4/7*o**4 + 0*o**2 = 0?
-1, 0
Let g(m) be the first derivative of -3*m**5/5 - 3*m**4/4 + 4. Solve g(q) = 0 for q.
-1, 0
Let t(s) = 10*s**4 + 6*s**3 - 19*s**2 - 13*s + 9. Let h(w) = -7*w**4 - 4*w**3 + 13*w**2 + 9*w - 6. Let b(z) = -7*h(z) - 5*t(z). What is j in b(j) = 0?
-3, -1, 1
Let j = 37/12 - 17/6. Let a(w) be the second derivative of j*w**4 - 5*w - 3/20*w**5 + 0 + 0*w**2 + 0*w**3. Find q such that a(q) = 0.
0, 1
Factor j - 25*j**3 - 5*j - 8*j**2 + 29*j**3 + 8.
4*(j - 2)*(j - 1)*(j + 1)
Factor 3*b**2 + 0*b**2 + 4 - 8*b + b**2.
4*(b - 1)**2
Let g = -5681/29512 - 1/952. Let v = 104/217 + g. Find m, given that 0*m - v*m**3 + 0 + 2/7*m**2 = 0.
0, 1
Let g = 1 + 1. Let c(i) = 16*i - 30. Let v(m) = m**2 + 48*m - 89. Let a(h) = g*v(h) - 7*c(h). Factor a(y).
2*(y - 4)**2
Let n(a) be the first derivative of 8*a**5/55 - 8*a**4/11 - 2*a**3/11 + a**2 + 8*a/11 + 2. Determine w so that n(w) = 0.
-1/2, 1, 4
Let j(d) = -2*d**3 + 2*d**2 + d. Let i be j(-1). Factor 2*r + r**4 + 2*r**3 + i - r**5 - 4 - 2*r**4 + 2*r**2 - 3*r.
-(r - 1)**2*(r + 1)**3
Factor -1/5*g - 3/5*g**2 + 4/5*g**3 + 0.
g*(g - 1)*(4*g + 1)/5
Let n = 16 + -11. Suppose -u - 3 = -4*f, 19 + 6 = n*u. Factor 0*b + 0 + 1/2*b**4 + b**3 + 1/2*b**f.
b**2*(b + 1)**2/2
Let k be -12*(-2)/4 - 3. Determine c so that 0*c + 0 - 1/3*c**4 + 1/3*c**k + 0*c**2 = 0.
0, 1
Let v = 1 + 1. Solve -40*g**5 - 50*g**2 + 0*g + 23*g**4 + 4 + 38*g**3 + v*g + 23*g**4 = 0 for g.
-1, -1/4, 2/5, 1
Let -16/5*n**2 - 32/5*n + 14/5*n**3 - 2/5*n**4 + 0 = 0. What is n?
-1, 0, 4
Determine n so that 1/3*n**3 - 8/3 + 4*n - 2*n**2 = 0.
2
Let v(k) be the third derivative of 2*k**7/105 + 31*k**6/120 + 14*k**5/15 - 2*k**4/3 + 28*k**2. Factor v(i).
i*(i + 4)**2*(4*i - 1)
Let v(s) = s - 10. Let z be v(14). Factor 2/7*o**2 + 6/7*o**z + 6/7*o**3 + 0 + 0*o + 2/7*o**5.
2*o**2*(o + 1)**3/7
Let t(a) be the third derivative of 1/180*a**5 + a**2 + 0*a + 1/9*a**3 + 0 - 1/24*a**4. Find f, given that t(f) = 0.
1, 2
Factor -2/3 - 1/3*m**3 + 1/3*m + 2/3*m**2.
-(m - 2)*(m - 1)*(m + 1)/3
Let x(s) = -2*s - 2. Let c be x(-3). Factor -m + 3*m + 2*m**2 - 2*m - c*m.
2*m*(m - 2)
Let f(b) be the first derivative of -1/36*b**4 - 1/18*b**3 - 2 + 0*b**2 - b. Let h(t) be the first derivative of f(t). Let h(i) = 0. What is i?
-1, 0
Let r be 2/8 - 186/(-760). Let x = r - -2/19. Factor -1/5 - 3/5*h**2 + 1/5*h**3 + x*h.
(h - 1)**3/5
Let w(o) = -2*o - 5 + 3 + 2 - 1 - 3*o**2. Let s(l) = l. Let m(d) = 6*s(d) + w(d). Solve m(t) = 0 for t.
1/3, 1
Factor -80*g - 50*g**4 - 86*g**3 - 200*g**2 - 5*g**5 - 87*g**3 - 70*g**3 + 78*g**3.
-5*g*(g + 1)**2*(g + 4)**2
Let h = -8436/17 - -496. Let n = 29/51 + h. Factor n*b**2 + 0 + 1/3*b**3 + 0*b.
b**2*(b + 1)/3
Let n(q) = 2*q**5 + 14*q**4 - 11*q**3 + 5*q**2 + 5*q - 5. Let c(g) = -g**5 - 13*g**4 + 10*g**3 - 4*g**2 - 4*g + 4. Let y(i) = -5*c(i) - 4*n(i). Factor y(x).
-3*x**3*(x - 2)*(x - 1)
Let u(d) be the first derivative of -d**5/5 - d**4/2 + d**3 - 23. Solve u(r) = 0.
-3, 0, 1
Let m(p) be the first derivative of 2 + 0*p - p**6 - 6*p**3 - 2*p**2 - 15/2*p**4 - 22/5*p**5. Suppose m(g) = 0. What is g?
-1, -2/3, 0
Let a be 2/2 - (-4)/(-8). Factor a*v**3 + 0*v + 1/2*v**2 + 0.
v**2*(v + 1)/2
Let p(n) = n**3 - 4*n**2 + 3*n. Let b be p(3). Let o = b - -3. Find x, given that -2*x**2 - 2*x**3 + x**5 + 2*x**4 + 2*x**o - x = 0.
-1, 0, 1
Determine x so that 0 + 0*x - 1/3*x**4 - 1/3*x**5 + 1/3*x**2 + 1/3*x**3 = 0.
-1, 0, 1
Let v(n) be the first derivative of 14/5*n**5 + 4 - 49/9*n**6 - 34/9*n**3 - 8*n**2 + 73/6*n**4 - 8/3*n. Let v(w) = 0. Calculate w.
-1, -2/7, 1
Let m(z) be the third derivative of z**5/120 - z**4/48 + 4*z**2. Factor m(x).
x*(x - 1)/2
Let l(h) = 6*h - 6. Let g be l(1). Let u(t) be the second derivative of -7/36*t**4 - 1/9*t**3 - t + g + 0*t**2. Factor u(y).
-y*(7*y + 2)/3
Let b(r) = 4*r**3 - 5*r**2 - 7*r - 7. Let d(a) = -2*a**3 + 2*a**2 + 4*a + 4. Let m(t) = -4*b(t) - 7*d(t). Factor m(o).
-2*o**2*(o - 3)
Let t = -1/120 - -83/360. Factor -4/3*z + t*z**2 + 2.
2*(z - 3)**2/9
Suppose 0 = l - 0*l - 3*b, b - 16 = -5*l. Factor -l*d + d + d + d**2.
d*(d - 1)
Let i(x) be the third derivative of -x**6/180 + x**5/60 - 4*x**3/3 + x**2. Let k(l) be the first derivative of i(l). Suppose k(w) = 0. What is w?
0, 1
Suppose -3*q = -6*q + 162. Let k be (-20)/q*(-12)/10. Solve 0*t**2 + 2/9*t**4 - 2/9 - 4/9*t**3 + k*t = 0.
-1, 1
Factor 11*o + 13*o + 30 + o - 5*o**2.
-5*(o - 6)*(o + 1)
Determine x, given that -2*x**2 - 21 - 2*x - 20 + 40 + x**2 = 0.
-1
Let 21/5*x**2 - 24/5 - 78/5*x = 0. What is x?
-2/7, 4
Let j = 9 - 3. Let c = j + -4. Factor 0 - 1/2*b**4 - 1/2*b**c + 0*b + b**3.
-b**2*(b - 1)**2/2
Suppose 3*j + 12 + 14 = 5*r, 14 = r - 5*j. Suppose 5*h = -3*x - 2, -3*h - 6 = 6*x - 3*x. Factor -v**2 + h*v + r*v - 4*v - 4*v.
-v*(v + 2)
Let q(x) be the third derivative of x**5/5 + x**4/6 - 8*x**3/3 - 16*x**2. Factor q(m).
4*(m - 1)*(3*m + 4)
Let u(j) = -7*j**2 + 8*j - 4. Let z(i) = -48*i**2 + 56*i - 28. Let r(x) = -20*u(x) + 3*z(x). Factor r(c).
-4*(c - 1)**2
Suppose 0 = 4*c + 4*f + 4, 5*f + 6 = -3*c - 1. Let i be c/(-5) - 9/(-20). Factor -1/4*z**4 + 1/4*z**2 + 0 - i*z**3 + 1/4*z.
-z*(z - 1)*(z + 1)**2/4
Let o be -1 - 0 - 85/(-51). What is p in -1/3*p**2 + o*p + 0 = 0?
0, 2
Find v, given that -4/3*v - 4/3 +