(f) = 2*f + 16. Let b be l(-12). Let v be 4/b*2 + 3. Let 2/3*m + 0*m**v - 4/3*m**3 + 0 + 2/3*m**5 + 0*m**4 = 0. What is m?
-1, 0, 1
Let l(o) be the first derivative of -o**6/14 - 6*o**5/35 + 2*o**3/7 + 3*o**2/14 + 4. Find i, given that l(i) = 0.
-1, 0, 1
Let w be (-2)/11 + 1599/1716. Factor 0 - w*d**2 + 0*d + 3/4*d**5 - 9/4*d**4 + 9/4*d**3.
3*d**2*(d - 1)**3/4
Solve 3/2 + 1/2*y**2 - 5/2*y + 1/2*y**3 = 0.
-3, 1
Suppose 2*y = 13*y - 55. Let l(a) be the second derivative of a - 1/4*a**4 + 0 + 3/20*a**y + 0*a**3 - 1/14*a**7 + 1/10*a**6 + 0*a**2. Factor l(q).
-3*q**2*(q - 1)**2*(q + 1)
Find u such that 40*u - 6*u**2 - 39*u + 2*u**2 = 0.
0, 1/4
Let i be (-2)/(-1 - 1 - -1). Let q be (-1)/(-4) - 2/8. Factor -1/2*j**3 + q - j**i - 1/2*j.
-j*(j + 1)**2/2
Solve 2/13*x - 2/13*x**3 - 2/13*x**2 + 2/13 = 0 for x.
-1, 1
Suppose -11 - 2 = -3*g + 2*q, 3*q = -5*g + 9. Let u(k) be the second derivative of 1/10*k**5 + 0 - 3*k - 1/6*k**4 - 1/3*k**g + k**2. Solve u(i) = 0 for i.
-1, 1
Suppose -5*x + 15 = 3*n + 1, 0 = 2*n - 2*x - 4. Suppose -4/3*d**n - 14/3*d**4 + 4/3*d + 0 + 14/3*d**2 = 0. Calculate d.
-1, -2/7, 0, 1
Let r(o) be the first derivative of o**7/140 + o**6/45 - o**5/60 - o**4/6 + o**3 - 3. Let f(h) be the third derivative of r(h). Solve f(v) = 0.
-1, 2/3
Let a(c) be the second derivative of -c**4/12 - c**3/3 + 3*c**2/2 - 5*c. What is i in a(i) = 0?
-3, 1
Let p(q) be the first derivative of -1/9*q**3 + 1 - 4/3*q + 2/3*q**2. Solve p(m) = 0.
2
Let c(p) = -p**4 + 4*p**3 - p**2 - 2. Let w(o) = 2*o**4 - 5*o**3 + 2*o**2 + 3. Suppose i = -3*i - 16. Let f(a) = i*w(a) - 6*c(a). Suppose f(t) = 0. What is t?
-1, 0
Solve 2*h**4 + 4/3*h**2 + 0*h + 0 - 10/3*h**3 = 0 for h.
0, 2/3, 1
Let n(u) be the first derivative of -u**3/8 - 3*u**2/2 - 6*u + 17. Factor n(p).
-3*(p + 4)**2/8
Suppose -98/3*c**4 + 184*c - 24 - 1226/3*c**2 + 644/3*c**3 = 0. Calculate c.
2/7, 3
Let i(l) be the second derivative of -3/10*l**5 + 4/3*l**3 - 1/15*l**6 + 0*l**2 + 9*l + 0*l**4 + 0. Factor i(c).
-2*c*(c - 1)*(c + 2)**2
Let l(d) be the third derivative of d**6/180 - d**5/45 - d**4/36 + 2*d**3/9 + 7*d**2. What is s in l(s) = 0?
-1, 1, 2
Let i(o) = o**4 - o**3 - o**2 + o. Let h(q) = 6*q**4 + 50*q**3 + 190*q**2 + 146*q. Let a(p) = h(p) - 2*i(p). Determine b so that a(b) = 0.
-6, -1, 0
Let g be ((-1)/(-5))/((-2)/(-10)). Suppose g - 5 = -w. Determine h so that w + h**2 + 3 - 3*h**2 - 3 - 2*h = 0.
-2, 1
What is l in -57*l**3 - 10*l + 10*l + 60*l**3 - 3*l**2 = 0?
0, 1
Let u = 1/26 - -2/117. Let b(c) be the second derivative of 3*c - 1/3*c**2 + 0*c**3 + u*c**4 + 0. Factor b(v).
2*(v - 1)*(v + 1)/3
Let r(k) = -7*k**3 + 19*k**2 - 13*k - 3. Let g(h) = -64*h - 36*h**3 + 68*h**2 + 6*h**2 - 16 + 22*h**2. Let p(l) = 3*g(l) - 16*r(l). Factor p(z).
4*z*(z - 2)**2
Let k(h) be the second derivative of 0 + 1/21*h**3 + 1/105*h**6 - h - 1/42*h**4 + 0*h**2 - 1/70*h**5. Factor k(q).
2*q*(q - 1)**2*(q + 1)/7
Let r(k) be the third derivative of -k**8/840 + k**6/300 - 22*k**2. Factor r(h).
-2*h**3*(h - 1)*(h + 1)/5
Let m(w) be the first derivative of 3/10*w**2 - 1/15*w**3 - 1 - 2/5*w. Factor m(s).
-(s - 2)*(s - 1)/5
Let z(w) = -w**3 - 2*w**2 - 2*w - 2. Let l be z(-2). Let u(p) be the second derivative of 0*p**3 + 0 - p + 1/6*p**l - 1/36*p**4. Solve u(i) = 0 for i.
-1, 1
Let j(w) be the second derivative of 0 + 1/2*w**3 + 1/4*w**4 + 6*w + 0*w**2. What is t in j(t) = 0?
-1, 0
Let r(s) be the second derivative of 0 - 1/48*s**4 + 0*s**3 - 4*s + 0*s**2. Determine t, given that r(t) = 0.
0
Let k be 40/6 + 2/(-3). Let n be (k - 2)/(2 + 0). Factor -2/5*s**n + 0 + 0*s.
-2*s**2/5
Factor -543 + 10*n**3 + 25*n**2 + 10*n + 543.
5*n*(n + 2)*(2*n + 1)
Suppose 1 = 3*l - 5. Let -6*x**2 + 3*x**2 + 0*x - l*x + x**2 = 0. What is x?
-1, 0
Let c(h) be the second derivative of h**9/68040 - h**7/5670 + h**5/540 + 5*h**4/12 + h. Let b(u) be the third derivative of c(u). What is n in b(n) = 0?
-1, 1
Suppose 0 = 5*m + 3*c - 13, 5*m - 5*c = -0*c + 5. Factor 1/2 + 1/2*x**m + x.
(x + 1)**2/2
Let u = 22 - 20. Let s be 52/16 - (1 - -2). What is o in 3/2*o**u + o**3 + s*o**4 + o + 1/4 = 0?
-1
Let h(g) be the first derivative of -4*g**5/15 + 5*g**4/6 + 2*g**3/3 - 8. Solve h(d) = 0.
-1/2, 0, 3
Let h(c) be the second derivative of 7*c + 1/3*c**3 + 0*c**2 + 0 + 1/12*c**4. Factor h(a).
a*(a + 2)
Let n(j) = j**3 + j. Let f(q) = 8*q**3 + 3*q**2 + 6*q + 1. Let x(b) = b**2 + 1. Let l be x(-1). Let z(d) = l*f(d) - 18*n(d). Solve z(i) = 0.
1
Determine c, given that 6*c + 1 - 15*c**3 + 3*c**2 - 1 + 12*c**3 = 0.
-1, 0, 2
Let y(d) be the first derivative of -1/10*d**5 + 1/3*d**3 + 1/2*d**2 + 0*d**4 - 3 - 1/30*d**6 - d. Let i(u) be the first derivative of y(u). Factor i(t).
-(t - 1)*(t + 1)**3
Let a(b) be the second derivative of 0*b**2 - 3/20*b**5 + 0 + 1/6*b**4 - 1/84*b**7 + b - 1/12*b**3 + 1/15*b**6. Factor a(k).
-k*(k - 1)**4/2
Let l be -3*1/(-273) - (-6)/42. Factor 0*y - 2/13*y**4 + 0 + 2/13*y**2 - 2/13*y**3 + l*y**5.
2*y**2*(y - 1)**2*(y + 1)/13
Let m(c) be the first derivative of 0*c + 1/25*c**5 + 5 + 1/20*c**4 - 1/15*c**3 - 1/10*c**2. Factor m(j).
j*(j - 1)*(j + 1)**2/5
Let h(i) be the first derivative of i**6/720 + i**5/240 - i**4/24 - i**3/3 - 2. Let v(f) be the third derivative of h(f). Find t, given that v(t) = 0.
-2, 1
Let o(a) = 1. Let r(c) = -2*c**2 + 2*c - 1. Suppose q - 6*q = -15. Let y = q + -2. Let w(g) = y*r(g) + o(g). Determine d so that w(d) = 0.
0, 1
Suppose -2*m - 2*m + 2*n = -34, -2*n = -2. Let m*p**2 + 17*p - 12 + 3*p**4 - 29*p**3 + 17*p**3 - 5*p = 0. What is p?
-1, 1, 2
Let f(l) be the first derivative of -l**6/3 - 2*l**5/5 + l**4 + 15. Factor f(i).
-2*i**3*(i - 1)*(i + 2)
Let f = -6 + 8. Let c(k) be the first derivative of -2*k + 2/5*k**5 - 2 + 0*k**3 - k**4 + f*k**2. Suppose c(n) = 0. Calculate n.
-1, 1
Let z(g) be the third derivative of 0 + 1/1848*g**8 + 0*g**3 + 1/165*g**5 + 0*g**7 + 0*g - 1/220*g**6 + 3*g**2 + 0*g**4. Factor z(t).
2*t**2*(t - 1)**2*(t + 2)/11
Let f(y) be the third derivative of -y**5/30 + y**3/3 - 2*y**2. Suppose f(a) = 0. Calculate a.
-1, 1
Let l(t) be the third derivative of t**6/200 - t**5/100 - t**4/40 + t**3/10 - 19*t**2. Determine i, given that l(i) = 0.
-1, 1
Let r(y) = -y**2 + 2*y + 2. Let o be r(-2). Let f(s) = s**2 - 9*s + 3. Let k(i) = -5*i + 2. Let n(d) = o*f(d) + 10*k(d). Factor n(m).
-2*(m - 1)*(3*m + 1)
Solve 25*k**3 - 15/2*k**4 - 35/3*k - 5/2 - 10/3*k**2 = 0.
-1/3, 1, 3
Let v be (-30964)/99 - (-6)/27. Let m = 18026/55 + v. Determine h so that 0 + 24/5*h**2 - 18*h**5 - 174/5*h**4 - m*h**3 + 16/5*h = 0.
-1, -2/3, 0, 2/5
Let q = 124 + -122. Find d, given that -4/3*d + 2/3*d**q + 2/3 = 0.
1
Let 30/13 - 2/13*s**2 + 28/13*s = 0. What is s?
-1, 15
Let y(m) = m**2 + 14*m + 29. Let w be y(-12). Let z(r) be the second derivative of 1/18*r**3 + 0 - 2*r - 1/24*r**w - 1/24*r**4 + 0*r**2. Factor z(o).
-o*(o + 1)*(5*o - 2)/6
Let y(g) be the first derivative of 4/27*g**3 - 1/9*g**2 - 5 + 0*g - 1/18*g**4. Determine m so that y(m) = 0.
0, 1
Let j(z) be the second derivative of z**4/60 - 2*z**3/15 + 3*z**2/10 - z. Determine y, given that j(y) = 0.
1, 3
Let t = 5 - 3. Factor 6*f - 4*f**2 + f**3 - 2*f - t + f.
(f - 2)*(f - 1)**2
Let b(g) = 6*g**2 + 8*g - 4. Let v(j) = 17*j**2 + 25*j - 11. Let w(x) = 11*b(x) - 4*v(x). Factor w(i).
-2*i*(i + 6)
Factor -36*j**2 + 4*j**3 - 15*j + 8*j**3 + 23*j + 16*j**4.
4*j*(j - 1)*(j + 2)*(4*j - 1)
Let k be (-14)/8 - (21 + -23). Let -k*t**5 + 0*t**2 - 1/4*t + 0*t**4 + 0 + 1/2*t**3 = 0. Calculate t.
-1, 0, 1
Let o = -2/131 - -135/262. Determine s so that 1/2*s - o*s**2 + 0 = 0.
0, 1
Let b be 3/15*((-75)/(-6))/5. Determine n so that b*n**2 + 1/6*n - 2/3*n**3 + 0 = 0.
-1/4, 0, 1
Let f(l) = -6*l**2 + 2 + 0*l**3 + 2*l**3 + 7*l - 3*l**3. Let p be f(-7). Suppose -3*s**2 + 3*s**5 + s**4 + 0*s**5 - 3*s**3 + p*s**2 = 0. What is s?
-1, -1/3, 0, 1
Suppose -2*r = -h - 7, r + 2 - 6 = h. Suppose 2*f**2 - 2*f + r*f**3 + 2*f**4 - f**3 - f**2 - 3*f**2 = 0. Calculate f.
-1, 0, 1
Solve 2/19*u**4 - 8/19*u**3 + 8/19*u**2 + 0*u + 0 = 0 for u.
0, 2
Suppose 2*y + 3*y + 5*x = -5, -20 = -4*y + 2*x. Factor 0*a**y - a**5 + 0*a**3 - 4*a**4 - a - 4*a**2 - 6*a**3.
-a*(a + 1)**4
Let m(p) be the second derivative of 9*p**5/20 - p**4/2 - 3*p**3/2 + 3*p**2 - 16*p. Factor m(z).
3*(z - 1)*(z + 1)*(3*z - 2)
Let d(m) be the thi