b + 1)**2/7
Let m(q) = -q**4 - q - 1. Let j(s) = 8*s**4 - 15*s**3 + 24*s**2 - 7*s + 5. Let p(v) = j(v) + 5*m(v). Factor p(f).
3*f*(f - 2)**2*(f - 1)
Let f(r) be the third derivative of -r**6/40 + r**5/20 + r**4/4 - 14*r**2. Suppose f(z) = 0. What is z?
-1, 0, 2
Let f(m) be the third derivative of m**5/120 - m**4/16 + m**2. Factor f(h).
h*(h - 3)/2
Factor -28*o**3 - 4*o**5 + 9*o**2 + 3*o**2 + 20*o**4 + 0*o**2.
-4*o**2*(o - 3)*(o - 1)**2
Let a(c) be the third derivative of 0*c**3 + 0*c - 1/75*c**5 + 0 + 1/300*c**6 - 2*c**2 + 1/60*c**4. Suppose a(z) = 0. Calculate z.
0, 1
Let p(r) be the second derivative of r**5/50 - 2*r**4/15 - 11*r**3/15 - 6*r**2/5 - 37*r. Let p(i) = 0. Calculate i.
-1, 6
Let o(k) = 5*k**2 + 4*k + 4. Let y(g) = -2*g + 2. Let z be y(3). Let f(q) = -6*q**2 + 2 + 1 - 8 - 5*q. Let s(m) = z*f(m) - 5*o(m). Let s(h) = 0. Calculate h.
0
Let s(d) be the first derivative of 0*d - 1/12*d**3 - 1/32*d**4 - 1/16*d**2 + 1. Let s(b) = 0. What is b?
-1, 0
Let a = -9 + 3. Let j(q) = 2*q**2 - 5*q - 5. Let s(p) = -p**2 + 2*p + 2. Let v(x) = a*j(x) - 13*s(x). Factor v(u).
(u + 2)**2
Let l(k) = k**2 + 10*k + 8. Let v be l(-10). Let z = -6 + v. Suppose u**z + 2*u**2 - 4*u**2 = 0. What is u?
0
Let v(i) = -i**3 - 1. Let f(m) = -7*m**3 - 4*m**2 - m - 4. Let d(y) = -f(y) + 4*v(y). Let d(s) = 0. What is s?
-1, -1/3, 0
Let h(s) = 0*s**2 + 3*s - s + 2*s**2 - 1 + 0*s. Let l be h(-2). Factor 5*y**l + 0*y**2 - y**3 + 2*y - 3*y**2 - 3*y**3.
y*(y - 2)*(y - 1)
Let u(q) be the third derivative of -q**8/168 + q**7/105 + q**6/20 - q**5/30 - q**4/6 - 4*q**2. Suppose u(t) = 0. Calculate t.
-1, 0, 1, 2
Suppose 5*j - 2 = 18. Suppose -12 = -3*k + x, x = 3*k - 3*x - 3. Factor -4/5*b**j + 4/5*b**3 + 0*b**2 + 0 + 1/5*b**k + 0*b.
b**3*(b - 2)**2/5
Factor 0 + 4/3*d**2 - 2/3*d**3 + 8/3*d - 1/3*d**4.
-d*(d - 2)*(d + 2)**2/3
Suppose -2*j + 5*j = 4*q + 32, 0 = q - 1. Determine v so that -8*v + 8*v**3 - j*v**2 + 16*v - 2 + 0 - 2*v**4 = 0.
1
Let c(x) be the second derivative of 0 + 0*x**2 + 7*x + 1/18*x**4 - 4/315*x**7 - 1/45*x**6 + 1/45*x**3 + 1/50*x**5. Suppose c(r) = 0. Calculate r.
-1, -1/4, 0, 1
Suppose -3*x - 2*p + 6 = 0, -11*p - 4 = -2*x - 8*p. Solve -1/2*l**x + 1 + 1/2*l = 0 for l.
-1, 2
Let y(o) be the first derivative of -o**5/5 + o**4/2 + 8*o**3/3 + 3. Factor y(s).
-s**2*(s - 4)*(s + 2)
Let m(u) be the third derivative of 3*u**2 + 0*u + 0 - 1/72*u**4 - 1/60*u**5 + 1/360*u**6 + 1/6*u**3. Suppose m(z) = 0. Calculate z.
-1, 1, 3
Let w(h) be the third derivative of -h**6/1080 + h**5/270 - h**4/216 + 13*h**2. Factor w(y).
-y*(y - 1)**2/9
Solve 0*o**2 + 0*o**4 + 0*o + 0*o**3 + 0 + 2/9*o**5 = 0 for o.
0
Let c(h) be the first derivative of h**6/51 + 2*h**5/85 - h**4/34 - 2*h**3/51 - 51. Suppose c(q) = 0. Calculate q.
-1, 0, 1
Let i(h) = 2*h - 3. Let t = 8 - 5. Let r be i(t). Find w such that 1 + w**3 + r*w**2 - 3*w + 0*w**3 + 6*w = 0.
-1
Let y(x) be the first derivative of 2*x**3/9 - x**2 + 4*x/3 + 1. Determine o so that y(o) = 0.
1, 2
Let f = -118 - -592/5. Let n(s) be the first derivative of f*s**5 + 0*s + 2 + 1/2*s**4 + 2/9*s**3 + 0*s**2 + 1/9*s**6. Factor n(u).
2*u**2*(u + 1)**3/3
Let y = 81/392 - 4/49. Let q(v) be the second derivative of v + 1/8*v**3 + 0 + y*v**2 + 1/80*v**5 + 1/16*v**4. Factor q(o).
(o + 1)**3/4
Let m(f) = 0*f**3 - f - f**3 + 0*f**3. Let i(r) = 4*r**2 + 4*r**3 - 22 + 6*r + 8*r + 6. Let k(l) = -i(l) - 6*m(l). Factor k(y).
2*(y - 2)**2*(y + 2)
Factor 0 - 4/3*l + 4/3*l**3 - 2/3*l**2 + 2/3*l**4.
2*l*(l - 1)*(l + 1)*(l + 2)/3
Let i = 3 + -1. Suppose g - 2*g = -i. Factor g*n + 4*n**2 + 1/4.
(4*n + 1)**2/4
Factor 4*t**4 + 36*t**2 + 58 - 32*t - 2*t**4 - 16*t**3 - 48.
2*(t - 5)*(t - 1)**3
Let m = 10 + -2. Suppose -5*t - 10 = -5*g, -3*t + m*t + 1 = 2*g. Suppose k**3 - 5*k**g - k**2 - 4*k**4 + 0*k**2 = 0. What is k?
-1/2, 0
Suppose 5 = 3*f - 1. Let m be (-210)/(-18) + -6 - 5. Factor -m*v - 2*v**3 + 0 - 2*v**f - 2/3*v**4.
-2*v*(v + 1)**3/3
Let g(u) be the second derivative of u**6/30 - 3*u**5/20 + u**4/4 - u**3/6 - 5*u. Factor g(i).
i*(i - 1)**3
Let v(l) be the first derivative of -2*l**3/15 + 2*l/5 + 8. Factor v(o).
-2*(o - 1)*(o + 1)/5
Suppose k + 175 = 6*k. Let x be ((-10)/k)/(27/(-21)). Factor -x*n**2 + 0*n + 2/9.
-2*(n - 1)*(n + 1)/9
Let s = -32 + 35. Let k(a) be the first derivative of 1 + 0*a**2 + 0*a - 1/16*a**4 - 1/12*a**s. Factor k(f).
-f**2*(f + 1)/4
Let z(m) be the second derivative of -5*m**4/12 + 25*m**3/6 - 14*m. Factor z(n).
-5*n*(n - 5)
Let x(r) be the third derivative of 4*r**2 + 7/12*r**4 + 1/12*r**6 - 2/3*r**3 - 3/10*r**5 + 0*r + 0 - 1/105*r**7. Factor x(n).
-2*(n - 2)*(n - 1)**3
Let k(v) be the third derivative of v**6/30 - v**5/5 + v**4/3 + 2*v**2. Suppose k(d) = 0. What is d?
0, 1, 2
Suppose -281 = -3*m + m - 5*y, 3*y + 575 = 4*m. Let s = m + -1285/9. Find o, given that -s*o + 0 - 2/9*o**2 = 0.
-1, 0
Let 12/17*f**2 - 2/17*f**5 + 16/17*f**3 - 14/17*f + 0 - 12/17*f**4 = 0. Calculate f.
-7, -1, 0, 1
Let r(i) be the second derivative of -i**7/8 + 23*i**6/40 - 9*i**5/40 - 11*i. Let r(k) = 0. What is k?
0, 2/7, 3
Let x(f) = -f**3 - f**2 + f + 1. Let z be x(-1). Suppose -4*b + 6*b = z. Solve -3*t**4 + b*t**5 - 2*t**3 - t**2 + t**5 + 5*t**3 = 0 for t.
0, 1
Let n be (48/(-420))/(1/(-5)). Let m = 0 - -3. Let 0*z**2 + 2/7 + 4/7*z**m - 2/7*z**4 - n*z = 0. What is z?
-1, 1
Let r(t) = 5*t**4 - 7*t**3 + 11*t**2 + 3*t - 6. Let f(i) = 4*i**4 - 6*i**3 + 10*i**2 + 2*i - 5. Let a(h) = 6*f(h) - 5*r(h). Factor a(w).
-w*(w - 1)**2*(w + 3)
Factor 1/4*k**3 + 0 - 1/2*k**2 + 1/4*k.
k*(k - 1)**2/4
Let b be 0*((-2)/(-7) + 33/(-42)). Let d(k) = 2*k**3 - 3*k**2 + k - 2. Let c be d(2). Let -3/5*q**5 + 3/5*q**3 + 0 + b*q**2 + 0*q + 0*q**c = 0. Calculate q.
-1, 0, 1
Suppose 0*b + 10 = 5*b. Suppose 2*h**b - 12*h + 8*h - 4*h**2 + 2*h**3 = 0. What is h?
-1, 0, 2
Let x(o) = o**3 - o. Let d(u) = u**5 - u**4 - 5*u**3 + 2*u**2 + 4*u - 1. Let g(q) = d(q) + 3*x(q). Solve g(t) = 0.
-1, 1
Let l(o) be the second derivative of -o**4/54 - o**3/9 + 11*o. Suppose l(n) = 0. What is n?
-3, 0
Let o = 17 - 15. Let x be (o + 96/(-45))*-6. Factor 6/5*q**2 + x + 2/5*q**3 - 2/5*q**4 - 2*q.
-2*(q - 1)**3*(q + 2)/5
Let c(q) = 9*q**3 - 23*q**2 + 8*q - 3. Let k(l) = -80*l**3 + 208*l**2 - 72*l + 28. Let f(v) = -28*c(v) - 3*k(v). Find i such that f(i) = 0.
0, 2/3, 1
Let f(z) be the second derivative of 3*z**6/2 + 43*z**5/4 + 55*z**4/3 - 10*z**3 - 29*z. Factor f(k).
5*k*(k + 2)*(k + 3)*(9*k - 2)
Let h(o) = 3 - 6*o**2 + o**3 - 2*o**3 + 0 + 1. Let p be h(-6). Solve p*j**2 - 8*j + j**2 - j**2 + 2*j**2 + 2 = 0.
1/3, 1
Find o such that 0 + 3*o - 5*o**2 + 3*o**3 + 2*o**2 + 3 - 6*o = 0.
-1, 1
Let n(m) be the third derivative of 9*m**2 + 0*m**4 + 0*m**6 + 0*m + 0*m**3 - 1/10*m**5 + 0 + 1/140*m**7. Determine z so that n(z) = 0.
-2, 0, 2
Factor -4*q**5 + q**3 + 4*q**3 - q**5.
-5*q**3*(q - 1)*(q + 1)
Factor -6 + 5*g**2 - 57*g - 101*g**4 - 24*g**2 + 62*g**4 - 123*g**3 - 116*g**2.
-3*(g + 1)**3*(13*g + 2)
Suppose 33/7*v**2 + 12/7*v**3 + 12/7 - 48/7*v - 9/7*v**4 = 0. What is v?
-2, 1/3, 1, 2
Let n(f) = f**3 + f**2 - 1. Let q(p) = 5*p**4 + 8*p**3 + 4*p**2 - p + 3. Let u(b) = 5*n(b) + q(b). Let u(t) = 0. What is t?
-1, 2/5
Let l(s) be the second derivative of -s**7/378 - s**6/135 + s**5/90 + s**4/27 - s**3/54 - s**2/9 + 12*s. Let l(u) = 0. What is u?
-2, -1, 1
Suppose 0 = -3*i + 5*i + 28. Let v(a) = 3*a**2 + 7. Let k(z) be the first derivative of -z**3/3 - 2*z + 1. Let h(j) = i*k(j) - 4*v(j). Solve h(w) = 0.
0
Let z(p) be the first derivative of p**5/15 - 3*p**4/2 + 97*p**3/9 - 24*p**2 + 64*p/3 - 52. Factor z(f).
(f - 8)**2*(f - 1)**2/3
Let n(x) be the first derivative of x**6/20 + 3*x**5/10 + 3*x**4/4 + x**3 + 3*x**2/4 - 5*x - 4. Let j(s) be the first derivative of n(s). Factor j(y).
3*(y + 1)**4/2
Let d be (-7)/(2772/(-160)) - (-4)/(-22). Let c(q) be the first derivative of -1/3*q**2 + d*q**3 + 0*q - 3. Factor c(p).
2*p*(p - 1)/3
What is u in -5*u**5 + u**5 + 7*u**5 + 3*u**3 + 6*u**4 = 0?
-1, 0
Let d(k) be the third derivative of k**8/560 + 3*k**7/350 + k**6/100 - k**5/50 - 3*k**4/40 - k**3/10 - 2*k**2. Determine v, given that d(v) = 0.
-1, 1
Let i(g) = 110*g**2 - 265*g - 45. Let f(p) = -5*p**2 + 12*p + 2. Let y(t) = 45*f(t) + 2*i(t). Factor y(l).
-5*l*(l - 2)
Let k(d) be the second derivative of d**6/120 - 3*d**5/4