actor r(h).
-4*h**2*(h - 1)
Suppose x - 5 = -4*x, 19 = 5*s + 4*x. Determine l, given that -11 + 5 + 16*l - l + 3*l**s - 12*l**2 = 0.
1, 2
Let s = -8 - -8. Let n be 1*(0 - (s + -3)). What is w in -18*w**2 - 27/2*w**4 - 1/2 - 27*w**n - 5*w = 0?
-1, -1/3
Let s(h) = -h**2 - 10*h - 7. Let q be (-9 - 2) + 0 + 2. Let n be s(q). Determine l, given that -1/2*l + 1/2*l**n + 0 = 0.
0, 1
Let k(u) = -4*u - 1. Let h be k(-2). Let 2*r**3 - r**2 + 3*r - 11*r**2 + h*r**3 = 0. Calculate r.
0, 1/3, 1
Find g, given that 0 - 1/2*g - 1/2*g**3 + g**2 = 0.
0, 1
Let s(h) be the second derivative of 1/15*h**5 + 0*h**2 + 1/45*h**6 - 2/9*h**3 + h + 0 - 1/18*h**4. What is z in s(z) = 0?
-2, -1, 0, 1
Let t(p) be the second derivative of p**6/70 + 3*p**5/140 + 16*p. Solve t(a) = 0.
-1, 0
Let c(w) be the second derivative of 0 + 2/17*w**2 - 4*w + 1/170*w**5 - 1/51*w**4 - 1/51*w**3. Solve c(m) = 0 for m.
-1, 1, 2
Let j be 3/5 - 20/100. Let w(g) be the first derivative of 0*g + 2/9*g**6 + 0*g**3 + 0*g**2 + 3 + 1/6*g**4 - j*g**5. Suppose w(b) = 0. Calculate b.
0, 1/2, 1
Let o be (1 - 8/10)*1. Let n(i) be the third derivative of 1/15*i**6 - 2*i**2 + 1/3*i**4 + 1/105*i**7 + 0*i + 0 + o*i**5 + 1/3*i**3. Factor n(b).
2*(b + 1)**4
Find r such that 2*r**4 - 11*r**3 + 8*r**5 + r**2 - 3*r**2 + 3*r**3 = 0.
-1, -1/4, 0, 1
Let s(i) be the first derivative of -i**5/20 - i**4/3 - i**3/2 - 5*i - 8. Let f(w) be the first derivative of s(w). Factor f(k).
-k*(k + 1)*(k + 3)
Factor -2/15*w**5 + 0 - 8/15*w**2 - 4/5*w**3 - 2/15*w - 8/15*w**4.
-2*w*(w + 1)**4/15
Let m(i) be the second derivative of -i**4/18 - 2*i**3/9 - 13*i. Factor m(u).
-2*u*(u + 2)/3
Let d = -40 + 20. Let p be 10/15 + d/(-6). Factor 2/7*o**3 + 2/7*o**p + 0 - 2/7*o**2 - 2/7*o.
2*o*(o - 1)*(o + 1)**2/7
Let x(j) be the second derivative of -1/75*j**6 + 1/50*j**5 + j - 1/3*j**3 + 2/5*j**2 + 0 + 1/10*j**4. Factor x(s).
-2*(s - 1)**3*(s + 2)/5
Let f(h) = 3*h + 3. Let k be f(3). Let z be (-2 - -4)/(21/k). Determine r, given that z*r**3 - 4/7 - 10/7*r**5 + 20/7*r**2 - 16/7*r**4 + 2/7*r = 0.
-1, 2/5, 1
Suppose 17 = 4*r + 3*i, 5 = 5*r - 4*i + 7. Find y such that 1/3*y**r + 2*y + 3 = 0.
-3
Let m be 18/8 + 3/(-12). Suppose m*u**3 + 2*u**2 - 2*u - 2*u**2 = 0. Calculate u.
-1, 0, 1
Let r(i) be the third derivative of -i**8/6720 + i**7/1008 + i**6/360 + i**5/60 + 2*i**2. Let a(z) be the third derivative of r(z). Factor a(c).
-(c - 2)*(3*c + 1)
Let i(s) be the second derivative of s**5/90 + 2*s**4/27 + 5*s**3/27 + 2*s**2/9 + 22*s. Factor i(a).
2*(a + 1)**2*(a + 2)/9
Let c(g) = g**2 - 9*g + 2. Let s be c(7). Let w = s + 12. Factor -2/5*t**2 + 2/5*t**4 + 2/5*t - 2/5*t**3 + w.
2*t*(t - 1)**2*(t + 1)/5
Suppose -3*j = -5*t + 21, 5 = -4*j - 3. Let r(h) be the first derivative of -1/3*h**t + 0*h - 1 - h**5 - h**2 + 2*h**4. Solve r(z) = 0 for z.
-2/5, 0, 1
Solve 0 + 0*z**2 + 16/7*z - 4/7*z**3 = 0 for z.
-2, 0, 2
Let i be 100/(-950) + (-174)/(-209). Determine v so that 0 + i*v**3 + 18/11*v**5 + 0*v + 0*v**2 + 24/11*v**4 = 0.
-2/3, 0
Let a be (-576)/448*(-4)/6. Factor 9/7*x - a - 3/7*x**3 + 0*x**2.
-3*(x - 1)**2*(x + 2)/7
Let f(i) be the first derivative of 9/7*i**2 + 4 + 1/21*i**6 - 32/21*i**3 + i**4 - 4/7*i - 12/35*i**5. Determine t, given that f(t) = 0.
1, 2
Let r(m) = 40*m**3 - 60*m**2 + 24*m + 20. Let f = -55 + 31. Let u(w) = w**3 - w**2 + 1. Let y(x) = f*u(x) + r(x). Solve y(i) = 0.
1/4, 1
Let d(c) = c + 24. Let n be d(-13). Let p(q) = q**3 - 12*q**2 + 12*q - 8. Let x be p(n). Factor 5/2*a**4 + 1/4*a**5 + 20*a + 8 + 10*a**x + 20*a**2.
(a + 2)**5/4
Suppose -42 = -3*c + p - 3, -p - 52 = -4*c. Factor -6*n**3 + c*n**3 - 8*n**3.
-n**3
Let h(o) = -3*o**3 + 7*o**2 - 7*o - 2. Let d(r) = -2*r**3 + 4*r**2 - 4*r - 1. Let g be 5 + -4 - 2*3. Let z(s) = g*d(s) + 3*h(s). Factor z(i).
(i - 1)*(i + 1)**2
Let o(c) be the first derivative of 2*c**3/27 + 2*c**2/9 + 2*c/9 - 64. Factor o(u).
2*(u + 1)**2/9
Factor -96/7*z**4 + 0 + 0*z - 54/7*z**2 + 15/7*z**5 + 171/7*z**3.
3*z**2*(z - 3)**2*(5*z - 2)/7
Let y(q) be the third derivative of q**4/24 + 3*q**3/2 - 4*q**2. Let b be y(-7). Find i such that 5*i**2 - 6*i**5 - i**2 + b*i**4 + 2*i - 6*i**4 + 4*i**5 = 0.
-1, 0, 1
Let i(y) be the second derivative of 1/2*y**3 + 4*y + 1/4*y**4 + 0*y**2 + 0. Factor i(n).
3*n*(n + 1)
Suppose 31*h - 14*h = 18*h. Suppose -y + 2*y - 2 = 0. Suppose h*p + 1/4*p**y + 0 = 0. What is p?
0
Let v(k) be the second derivative of 0*k**2 - 1/110*k**5 - 4*k + 1/66*k**4 + 0 + 0*k**3. Factor v(d).
-2*d**2*(d - 1)/11
Let t be 16/4 - (0 - -2). Let i(b) be the first derivative of 0*b**t + 0*b - 3*b**4 + 3*b**5 - 4/3*b**3 + 3 - 2/3*b**6. Factor i(l).
-l**2*(l - 2)**2*(4*l + 1)
Suppose 2*i - 7 = 3. Let n = -3 + i. Determine u, given that n + 0*u - u**2 - 1 - u + u**3 = 0.
-1, 1
Suppose -20 = -0*n - 5*n. Suppose m - n*m + 30 = 0. Factor 0 - 8*j**3 - 20*j**2 - m*j - 2*j**5 - 10*j**4 - 5*j**3 - 2 - 7*j**3.
-2*(j + 1)**5
Let x = 8 + -11. Let r(q) = -6*q**2 - 7*q - 2. Let c(y) = -7*y**2 - 6*y - 2. Let k(p) = x*r(p) + 2*c(p). Determine a so that k(a) = 0.
-2, -1/4
Let o(t) = 5*t**2 - 6*t + 1. Let z = -4 - -1. Let y(q) = 4*q**2 - 5*q + 1. Let b(w) = z*o(w) + 4*y(w). Factor b(s).
(s - 1)**2
Suppose 20/7*s**3 + 32/7*s + 0 - 88/7*s**2 = 0. What is s?
0, 2/5, 4
Let j(s) be the first derivative of 34*s**3/9 + 5*s**2 - 4*s/3 + 14. Factor j(a).
2*(a + 1)*(17*a - 2)/3
Let g(w) be the second derivative of w**7/105 + 2*w**6/75 - 3*w**5/50 - 4*w**4/15 - 4*w**3/15 + w - 3. What is i in g(i) = 0?
-2, -1, 0, 2
Let q(m) be the second derivative of m**4/96 + m**3/48 - m**2/8 - 4*m. Solve q(f) = 0.
-2, 1
Factor -16*k**4 - 5*k**2 + 0*k**2 + 21*k**4.
5*k**2*(k - 1)*(k + 1)
Let v(j) be the second derivative of j**5/60 + j**4/12 + j**3/6 - 3*j**2/2 - 2*j. Let d(f) be the first derivative of v(f). Factor d(o).
(o + 1)**2
Let a(b) = -5*b**2 - 35*b - 30. Let d(c) = -c - 1. Let z(l) = a(l) - 25*d(l). Factor z(u).
-5*(u + 1)**2
Let o(v) be the third derivative of -v**8/224 + v**7/70 - v**6/80 - 6*v**2. What is d in o(d) = 0?
0, 1
Suppose -1/2*r**4 + 0*r - 11*r**2 - 9/2*r**3 + 16 = 0. What is r?
-4, -2, 1
Let l be 15/(-42)*(-16)/10. Let l*y - 2/7*y**2 - 2/7*y**3 + 0 = 0. What is y?
-2, 0, 1
Let i(d) be the third derivative of d**5/20 + 3*d**4/8 + 19*d**2. Factor i(n).
3*n*(n + 3)
Determine m so that 3*m**2 + 2*m**2 - 784 - 112*m - 4*m**2 - 5*m**2 = 0.
-14
Let q(u) be the second derivative of u**6/180 - u**5/30 + u**3/6 + u. Let m(w) be the second derivative of q(w). Find r such that m(r) = 0.
0, 2
Let v be 1 + -2 - -1 - 0. Suppose 7 = -v*z + z. Factor z*t**5 + 8*t**2 - 13*t**3 - 3*t**3 + 11*t**5 - 6*t**4.
2*t**2*(t + 1)*(3*t - 2)**2
Let i be (-12)/(-36)*(-381)/(-280). Let a = i + -3/56. Factor -12/5*b**3 + 4/5*b + 9/5*b**4 + 1/5 - a*b**2.
(b - 1)**2*(3*b + 1)**2/5
Let p(y) = -27*y + 1. Let v be p(-1). Let o = 31 - v. Factor 3*z**4 - 4*z - 4/3 + 4*z**o - 5/3*z**2.
(z - 1)*(z + 1)*(3*z + 2)**2/3
Let d(o) = -3*o**2. Let n(w) = -4*w**2 - w. Let t(c) = -5*d(c) + 4*n(c). Let v be t(-3). Find h, given that 2/3 + 2*h**2 + 2/3*h**v + 2*h = 0.
-1
Factor 2/5*s**2 + 1/5*s**5 + 1/5 - 3/5*s**4 - 3/5*s + 2/5*s**3.
(s - 1)**4*(s + 1)/5
Let q(x) be the first derivative of -x**5/70 + x**4/14 - 4*x**2/7 + 8*x - 7. Let y(z) be the first derivative of q(z). Let y(r) = 0. Calculate r.
-1, 2
Let y(a) = -a**3 + 15. Let l be y(0). Suppose -2*s = 4*z - 6, 0 = -3*z + s + s + l. Let q**2 + q + q**3 - q**z - q**4 - q**3 + 0*q**4 = 0. Calculate q.
-1, 0, 1
Let c(v) be the first derivative of -v**3/6 + v**2/2 + 3*v/2 + 6. Factor c(s).
-(s - 3)*(s + 1)/2
Let t(f) be the first derivative of -f**6/6 - 7*f**5/5 - 15*f**4/4 - 3*f**3 + 5. Determine w, given that t(w) = 0.
-3, -1, 0
Let u(t) = t**4 + t**3 + t**2 + t - 1. Let f(c) = -8*c**3 - 4*c**2 + 4*c - 4. Let k(p) = -f(p) + 4*u(p). Suppose k(b) = 0. What is b?
-2, -1, 0
Let r(u) = -u**2 + 5*u. Let t(d) = -d + 2. Let m be t(-3). Let s be r(m). What is a in 2/5*a**2 - 2/5*a + s = 0?
0, 1
Determine w, given that 136/7*w - 396/7*w**2 - 236/7*w**4 - 16/7 + 470/7*w**3 + 6*w**5 = 0.
2/7, 1/3, 1, 2
Suppose -5*m = -4*x + 24, 2*x - 12 = 2*m - m. Let i(c) be the second derivative of 2*c + 0*c**4 + 0 + 1/75*c**x + 0*c**2 + 1/50*c**5 + 0*c**3. Factor i(f).
2*f**3*(f + 1)/5
Factor -4/7*q**4 - 16/7 - 52/7*q - 4*q**3 - 60/7*q**2.
-4*(q +