+ 1)**4
Let u = 0 - 1. Let v(r) = -r**4 + r**3 + r + 1. Let s(c) = 0*c**3 - 8*c - 5 - 3*c**3 + 3*c + 12*c**4. Let k(n) = u*s(n) - 5*v(n). Solve k(j) = 0.
-2/7, 0
Let z be (-2)/(1320/76) + (-4)/(-22). Let m(a) be the first derivative of -3 + 1/5*a + 0*a**2 - z*a**3. Factor m(t).
-(t - 1)*(t + 1)/5
Suppose 2*d = 5*n + 9, 0 = -d + 4*d - 3*n - 9. Let t(y) be the second derivative of y**d + 0 + y + 0*y**3 - 1/6*y**4. Find u, given that t(u) = 0.
-1, 1
Let d be 1/3*((-12)/(-3))/2. Solve -2/3*c**4 + d*c**2 - 5/3*c**3 + 0 + 5/3*c**5 + 0*c = 0.
-1, 0, 2/5, 1
Factor -2/9*h**3 + 8/9*h - 8/9*h**2 + 0 + 2/9*h**4.
2*h*(h - 2)*(h - 1)*(h + 2)/9
Let x be -6*(1 - 44/36). What is l in -1/3*l - 2*l**3 - x*l**2 - 4/3*l**4 + 0 - 1/3*l**5 = 0?
-1, 0
Let c(g) be the first derivative of -7 + 32/5*g + 8/5*g**2 + 2/15*g**3. Factor c(x).
2*(x + 4)**2/5
Let y be 1/((-5)/3 + 2). Suppose -5*z = 15, 0 = -y*i - 10*z + 5*z - 3. Factor -4*r**3 + 4 - 2 - i*r**3 + 12*r**2 - 8*r + 2*r**4.
2*(r - 1)**4
Factor -136*b**2 - b**3 - 25*b - 121*b**2 - 12 + 243*b**2.
-(b + 1)**2*(b + 12)
Factor -1/2*x**2 - 1/2 + x.
-(x - 1)**2/2
Let u(z) = 10*z**3 - 10*z**2 - 5. Let h(i) = 9*i**3 - 10*i**2 + i - 4. Let n(k) = 5*h(k) - 4*u(k). Factor n(y).
5*y*(y - 1)**2
Let s(p) = 5*p**5 - 6*p**4 + 4*p**3 + 8*p**2 + 3*p + 4. Let a(b) = -4*b**5 + 5*b**4 - 4*b**3 - 7*b**2 - 2*b - 3. Let c(v) = 6*a(v) + 5*s(v). Factor c(w).
(w - 2)*(w - 1)*(w + 1)**3
Let r(g) be the first derivative of -4/3*g**3 + 0*g + 4/5*g**5 + 1/3*g**6 - 1 - g**2 + 0*g**4. Factor r(j).
2*j*(j - 1)*(j + 1)**3
Let z(h) = -h**2 - 3*h + 1. Let v be z(-2). Factor 0 + 0*r + 2/7*r**2 - 2/7*r**v.
-2*r**2*(r - 1)/7
Let n be (-1)/7 + 6 + 8/7. Let j(u) be the second derivative of 1/30*u**6 + 0*u**3 + 1/42*u**n + 0*u**2 - 1/20*u**5 - 1/12*u**4 + 4*u + 0. Factor j(s).
s**2*(s - 1)*(s + 1)**2
Factor -1/5*d**4 - 18/5*d**2 + 27/5 + 0*d - 8/5*d**3.
-(d - 1)*(d + 3)**3/5
Let p(t) = -6*t - 33. Let d be p(-6). Let w = 61/384 - -1/128. Find x such that 0 - 1/6*x**d + 1/3*x - 1/2*x**2 + 1/2*x**4 - w*x**5 = 0.
-1, 0, 1, 2
Suppose 0 = -b - 4*g - 16, 4*b + 0*g - 4 = g. Let r(n) be the second derivative of 0*n**5 + 0*n**3 + 0 + 0*n**2 + b*n**4 - 1/30*n**6 + n. Factor r(l).
-l**4
Let v(g) be the second derivative of g**8/6720 + g**7/1260 - g**6/720 - g**5/60 - 7*g**4/12 + 7*g. Let w(n) be the third derivative of v(n). Factor w(k).
(k - 1)*(k + 1)*(k + 2)
Let n = 23/348 - -1/58. Let y(c) be the first derivative of n*c**3 + 1/2*c - 3/8*c**2 - 2. Suppose y(f) = 0. What is f?
1, 2
Let t(l) be the third derivative of 0*l**3 + 0*l + 0*l**4 + 0 - 2/315*l**7 + 2*l**2 - 1/504*l**8 + 1/45*l**5 + 1/180*l**6. Suppose t(h) = 0. What is h?
-2, -1, 0, 1
Let a be 0/((-2)/(-1 - -3)). Let q be 1/2 - a/(-1). Factor -1/2*s**2 + 0*s + q.
-(s - 1)*(s + 1)/2
Let b(f) be the first derivative of f**2 - 1/2*f**4 + 0*f + 2/5*f**5 - 2/3*f**3 + 1. Let b(k) = 0. What is k?
-1, 0, 1
Let q(c) be the second derivative of c**4/8 + 5*c**3/4 + 3*c**2 - 7*c. Determine s, given that q(s) = 0.
-4, -1
Let p be 37/5 - (14 - 7). Solve 2/5*y**4 + 0 + 0*y + 4/5*y**3 + p*y**2 = 0.
-1, 0
Let w be (-2)/(-12) - 0/(-1). Let b(c) be the second derivative of 1/30*c**6 + 2*c + 0 - 1/10*c**5 + 1/6*c**3 + 1/2*c**2 - w*c**4 + 1/42*c**7. Factor b(q).
(q - 1)**2*(q + 1)**3
Let b be ((-93)/6)/(3/(-6)). Factor -a - b*a**5 + a - 8*a**2 + 32*a**4 + 51*a**5 + 4*a**3.
4*a**2*(a + 1)**2*(5*a - 2)
Let i = -811 + 1623/2. Suppose f**3 + 9/2 + i*f**5 + 5/2*f**4 - 3/2*f - 7*f**2 = 0. Calculate f.
-3, -1, 1
Let h(l) = -4*l - 3. Let v be h(-2). Let a(w) = 5*w**3 - 3*w**2 + 2*w. Let p be a(1). Let -t**p - 3*t**5 + t**3 + 3*t**4 + 4*t**v = 0. What is t?
-1, 0
Let g be (-12)/20 - 3/(-5). Let p(z) be the third derivative of 0*z**5 + 0*z**3 - z**2 + 0 - 1/12*z**4 + g*z + 1/60*z**6. Solve p(k) = 0 for k.
-1, 0, 1
Let q(x) = -2*x - 8. Let r be q(-5). Factor -3/2 + 3/2*w**3 - 9/2*w**r + 9/2*w.
3*(w - 1)**3/2
Let w(j) be the second derivative of 0 - 2/3*j**3 + 2*j - 7/4*j**5 + 13/6*j**4 + 0*j**2 - 49/60*j**6. Factor w(f).
-f*(f + 2)*(7*f - 2)**2/2
Let v = 11 + -8. Let s(x) be the first derivative of 2*x - 2/3*x**3 - 1/2*x**4 + x**2 + v. Factor s(a).
-2*(a - 1)*(a + 1)**2
Let r(v) = -v**2. Let g(s) = s**2 + 2*s. Let u be g(-2). Let i(z) = -2*z**2 + 5*z**2 + u*z**2. Let h(a) = -3*i(a) - 8*r(a). Find n, given that h(n) = 0.
0
What is z in 0 - 7/11*z**3 - 9/11*z + 1/11*z**4 + 15/11*z**2 = 0?
0, 1, 3
Let j(f) be the first derivative of -1/3*f**3 + 1 + 1/4*f**2 + 1/2*f. Solve j(a) = 0.
-1/2, 1
Let w(k) be the third derivative of k**7/1260 + k**6/180 + k**5/90 - k**3/6 - 2*k**2. Let p(y) be the first derivative of w(y). Factor p(v).
2*v*(v + 1)*(v + 2)/3
Let c(h) be the first derivative of -7 + 0*h**2 + 1/6*h**3 + 0*h. Factor c(b).
b**2/2
Let n(s) be the first derivative of s**4/4 - 7*s**3/3 + s**2 + 2*s - 3. Let l be n(7). Let -8*y**3 + l*y**4 + 2*y**2 - 9*y**3 + 32*y**5 + 3*y**3 = 0. What is y?
-1, 0, 1/4
Find a, given that -17*a + 2*a - 20*a**3 - a + 32*a**2 + 0*a + 4*a**4 = 0.
0, 1, 2
Let v(s) be the third derivative of s**7/175 + s**6/300 - 3*s**5/50 + s**4/20 + 2*s**3/15 + 22*s**2. Find u such that v(u) = 0.
-2, -1/3, 1
Let n(i) be the second derivative of 0*i**3 - 1/80*i**5 + 1/48*i**4 + 0 + 0*i**2 - i. Factor n(a).
-a**2*(a - 1)/4
Factor o - 5*o + 6*o**3 - 11*o**3 - 24*o**2 - 15*o**3.
-4*o*(o + 1)*(5*o + 1)
Let c(v) be the first derivative of v**4/4 - v**3/3 - v**2/2 + v - 10. Factor c(h).
(h - 1)**2*(h + 1)
Let n(j) be the third derivative of -j**8/26880 + j**7/5040 - j**6/2880 - j**5/15 + 3*j**2. Let b(i) be the third derivative of n(i). Factor b(k).
-(k - 1)*(3*k - 1)/4
Let o(y) be the third derivative of 0*y - 1/300*y**6 + 1/75*y**5 + 1/60*y**4 + y**2 + 0 - 2/15*y**3. What is a in o(a) = 0?
-1, 1, 2
Determine a so that -74*a**3 - 28*a**2 - 22*a**3 + 8*a**4 + 60*a - 64*a**2 + 56*a**4 - 8 = 0.
-1, 1/4, 2
Let n(d) = -2*d**2 + 3*d - 7. Let r(u) = u + 1. Let q(g) = -4*g - 1. Let w be q(-1). Suppose 0 = 2*t - 1 + w. Let k(l) = t*n(l) - 3*r(l). Factor k(m).
2*(m - 2)*(m - 1)
Let r be (3/18*-3)/(-1). Suppose 0*x + 3/4*x**3 + r*x**2 + 0 = 0. Calculate x.
-2/3, 0
Let i(j) be the second derivative of -1/15*j**4 + j + 0*j**2 + 0 + 1/15*j**3 + 2/75*j**6 + 0*j**5 - 1/105*j**7. Let i(d) = 0. Calculate d.
-1, 0, 1
Let i(w) be the second derivative of 2*w**7/105 + w**6/50 - 13*w**5/100 - w**4/60 + 3*w**3/10 - w**2/5 + 5*w. Determine x so that i(x) = 0.
-2, -1, 1/4, 1
Let p = 6 - 4. Let f be ((-12)/14)/((-4)/14). Let 2/5*u**4 + 0 + 0*u**f + 0*u + 1/5*u**5 + 0*u**p = 0. Calculate u.
-2, 0
Let y(r) = -5*r**2 - 3*r - 4. Let a(f) = 6*f**2 + 4*f + 5. Let g(u) = -4*a(u) - 5*y(u). What is l in g(l) = 0?
0, 1
Suppose -4*x - 16 + 36 = 0. Let n(u) be the first derivative of 64/3*u**6 + 0*u - 2/3*u**3 - 2 + 0*u**2 + 32/5*u**x - 2*u**4. Suppose n(f) = 0. Calculate f.
-1/4, 0, 1/4
Determine a so that -84/5*a**4 + 0*a + 0 + 64/5*a**3 - 16/5*a**2 + 36/5*a**5 = 0.
0, 2/3, 1
Let a = -15 - -23. Suppose 5*z - 10 = -m, 0*z = 2*z + 2*m - 4. Find y such that -6 + 5*y**2 - 2 - a*y - 7*y**z = 0.
-2
Let f(a) be the second derivative of 0 - a + 0*a**4 - a**2 - 1/60*a**5 + 0*a**3. Let g(v) be the first derivative of f(v). What is k in g(k) = 0?
0
Find t such that -1/6*t**2 + 0 - 2/3*t = 0.
-4, 0
Let d(s) be the third derivative of s**8/90720 - s**7/11340 + s**5/30 - 7*s**2. Let b(h) be the third derivative of d(h). Find v such that b(v) = 0.
0, 2
Suppose 2 = 4*t - 6. What is o in 11 - 3*o**2 - o**2 - t + 7 = 0?
-2, 2
Let w(k) be the first derivative of -k**6/3 + 2*k**5 - 5*k**4 + 20*k**3/3 - 5*k**2 + 2*k - 4. Suppose w(v) = 0. What is v?
1
Factor 3/2*g + 3/2*g**2 + 0 - 3*g**5 - 9/2*g**3 - 15/2*g**4.
-3*g*(g + 1)**3*(2*g - 1)/2
Let p(m) = -m**4 + m**2 - m + 1. Let t(i) = -9*i**4 - 6*i**3 + 9*i**2 + 6. Let h(u) = -6*p(u) + t(u). Solve h(d) = 0 for d.
-2, -1, 0, 1
Let x be ((-4)/18)/((-19)/((-684)/(-24))). Factor 1/3*d - 1/3 - x*d**3 + 1/3*d**2.
-(d - 1)**2*(d + 1)/3
Let a(z) be the second derivative of z**6/15 + 7*z. Factor a(w).
2*w**4
Let -20/9*w**2 + 0*w + 0*w**3 + 4/9*w**4 + 16/9 = 0. Calculate w.
-2, -1, 1, 2
Let m(y) be the first derivative of -4*y**5/5 + 2*y**4 + 4*y**3/3 - 4*y**2 - 14. Factor m(k).
-4*k*(k - 2)*(k - 1)*(k + 1)
Let b(u) = -24*u**4 - 82*u**3 - 66*u**2 - 8