 Let b(h) be the third derivative of -1/105*h**7 + 0*h**g + h**2 + 0*h**3 + 1/30*h**5 + 0*h + 0 + 0*h**6. Solve b(u) = 0.
-1, 0, 1
Let t be 32/84*((-45)/(-10) - 0). Determine o, given that t*o - 18/7 - 2/7*o**2 = 0.
3
Suppose 0 = 4*l - 8. Let a be ((-3)/l)/((-2)/4). Suppose 8*p**3 - 9*p**a - p - p - 3*p**2 = 0. Calculate p.
-2, -1, 0
Let x(b) = -b**3 + b**2 + b + 1. Let c(p) = p**5 + 5*p**4 + 13*p**3 - 11*p**2 - 15*p - 7. Let z(k) = 4*c(k) + 28*x(k). Factor z(u).
4*u*(u - 1)*(u + 2)**3
Let f(z) be the first derivative of -z**4 + 4*z**3/3 - z**2/2 - 2. Determine b so that f(b) = 0.
0, 1/2
Let v = -142 + 142. Find g such that 0*g + 0 + 6/5*g**3 + v*g**4 - 2/5*g**5 - 4/5*g**2 = 0.
-2, 0, 1
Let f(d) be the first derivative of -1/360*d**6 + 1/3*d**3 + 0*d**2 + 2 + 1/60*d**5 + 0*d - 1/24*d**4. Let m(a) be the third derivative of f(a). Factor m(g).
-(g - 1)**2
Let h(n) be the first derivative of -2*n**3/11 + 12*n**2/11 - 24*n/11 + 24. Solve h(w) = 0 for w.
2
Let a = -853 - -855. Factor -1/2*o**a + 0 + 0*o - 1/2*o**3.
-o**2*(o + 1)/2
Let p = -106 + 107. Let x(v) be the first derivative of v**3 - p - 2/5*v**5 - 1/2*v**4 - v + 1/4*v**6 + 1/4*v**2. What is k in x(k) = 0?
-1, -2/3, 1
Let z(b) be the first derivative of -b**6/15 - 2*b**5/25 + b**4/10 + 2*b**3/15 + 8. What is u in z(u) = 0?
-1, 0, 1
Let k be ((-12)/(-2))/(9/6). Suppose -k*j = 3*p - p, 3*p = 4*j + 20. What is l in -6*l**4 - 10 + 8*l**2 + p*l**4 + 2*l**3 - l**5 + 12 + 7*l = 0?
-1, 2
Let q(y) be the first derivative of 3*y**5/5 + 3*y**4/4 - 11. Factor q(f).
3*f**3*(f + 1)
Let z = -826 - -9094/11. What is u in 8/11*u - 2/11*u**4 - 12/11*u**2 + z*u**3 - 2/11 = 0?
1
Factor 5*a**4 + 36*a**2 - 11*a**2 - 30*a - 50*a + 15*a**2 + 35*a**3.
5*a*(a - 1)*(a + 4)**2
Factor -2*a - 1/2*a**3 + 2*a**2 + 0.
-a*(a - 2)**2/2
Let i(p) be the third derivative of p**9/3402 + p**8/1512 + p**7/3780 + p**3/6 + 2*p**2. Let a(v) be the first derivative of i(v). Factor a(z).
2*z**3*(z + 1)*(4*z + 1)/9
Solve -2/15*x**4 - 2/3*x**3 + 8/15 + 2/15*x**2 + 2/15*x**5 + 16/15*x = 0 for x.
-1, 2
Suppose -4 = -x - 2*z, 0*x + 4*z = -x + 8. Factor x*n - 2/7*n**2 + 2/7.
-2*(n - 1)*(n + 1)/7
Suppose -5*w - 31 = f - 11, 0 = -3*f - 2*w - 8. Suppose b + 2 - 4 = 0. Factor 3 - 4*c**3 - 1 + 3*c**3 - 5*c + f + 4*c**b.
-(c - 2)*(c - 1)**2
Let v(p) = -6*p**3 - 2*p**2 + 8. Let d(h) be the first derivative of -h**4/4 + h - 4. Let r(k) = -8*d(k) + v(k). Factor r(g).
2*g**2*(g - 1)
Factor -6*c - 2*c**4 + 8 + 6*c**3 - c**2 + 4*c**4 - 9*c**2.
2*(c - 1)**2*(c + 1)*(c + 4)
Suppose 5*c - 25 + 5 = 0. Suppose -4*s**3 + 2*s**4 - c*s - 1 + 0 - 1 + 8*s**3 = 0. Calculate s.
-1, 1
Let b(h) be the first derivative of h**6/4 + 6*h**5/5 + 3*h**4/2 - h**3 - 15*h**2/4 - 3*h - 44. Find m, given that b(m) = 0.
-2, -1, 1
Let g(r) be the third derivative of r**7/1155 - r**6/660 - r**5/110 + r**4/132 + 2*r**3/33 + 3*r**2. Let g(t) = 0. Calculate t.
-1, 1, 2
Suppose f = 6*f - 80. Suppose -f = -4*p + 4. Factor 0 + 0*j**4 + 0*j**2 - 2/5*j**3 + 2/5*j**p + 0*j.
2*j**3*(j - 1)*(j + 1)/5
Let d(r) be the second derivative of -r**6/1260 - r**5/420 - r**3/2 + 3*r. Let f(i) be the second derivative of d(i). Factor f(q).
-2*q*(q + 1)/7
Let o(v) be the third derivative of 121*v**6/600 - 11*v**5/60 - 19*v**4/40 - 3*v**3/10 - v**2 - 32. Factor o(p).
(p - 1)*(11*p + 3)**2/5
Let z(b) be the first derivative of -2*b**3/9 + 2*b**2/3 + 2*b - 12. Factor z(s).
-2*(s - 3)*(s + 1)/3
Let p be 15/(-2)*-3*2/9. Let k(z) be the third derivative of 0*z**3 - 1/12*z**4 - 1/60*z**p + 0 + 0*z - 3*z**2. Factor k(j).
-j*(j + 2)
Let w(b) be the second derivative of b**4/102 + b**3/51 - 7*b. Find t such that w(t) = 0.
-1, 0
Let j be (6/(-4))/(6/(-8)). Factor -u - 2 + 4 + u**3 + 0*u**3 - u**j - 1.
(u - 1)**2*(u + 1)
Factor -203*x - 125*x**2 + 10*x**3 - 20 - 40*x**3 + 63*x.
-5*(x + 2)**2*(6*x + 1)
Suppose -o - 4*v = 14, 0 = -4*o + 2*v + 17 - 1. Factor -1/5*m**o + 0 + 1/5*m.
-m*(m - 1)/5
Let i be ((-6)/15)/((-6)/180*3). Factor -l**2 + 0 - 1/3*l**i + l**3 + 1/3*l.
-l*(l - 1)**3/3
Suppose -5 + 4 = -i. Let p be (-3 - 0)*i*-1. Find d, given that d**4 - 2*d**2 - p*d**3 + 0*d**3 + 4*d**3 = 0.
-2, 0, 1
Let d(f) = -f**3 - 4*f**2 - 2*f + 1. Let m be d(-4). Let v be (8/60)/(3/m). Determine q, given that 0 + 0*q**2 - 2/5*q**3 + v*q = 0.
-1, 0, 1
Let x be 2262/(-234) + 2 + 9. Solve 4/3*n**3 + 4/3*n**2 + 0 - 4/3*n**4 - x*n = 0.
-1, 0, 1
Let q(z) be the first derivative of 3*z**4/4 - 3*z**2/2 - 12. Solve q(s) = 0.
-1, 0, 1
Let y(v) be the third derivative of -v**8/23520 - v**7/4410 + 7*v**4/24 + 8*v**2. Let o(c) be the second derivative of y(c). Solve o(s) = 0.
-2, 0
Let d(m) = -m**2 - m. Let q = 5 - 3. Let f(w) = 0 + 2*w**2 - 4*w**q + 9*w + 2*w**3 - w**2 - 2. Let j(p) = 3*d(p) + f(p). Solve j(c) = 0 for c.
1
Let u(h) = -4*h**2 - 5*h - 5. Let o(v) = -3*v**2 - 4*v - 4. Let j(d) = -5*o(d) + 4*u(d). Let j(a) = 0. What is a?
0
Let p(q) be the third derivative of q**5/270 + q**4/54 - 7*q**2. What is h in p(h) = 0?
-2, 0
Suppose -z - 1 = -t, 0 = z - 3 - 2. Let h be t/8 - (-2)/(-8). Factor 0 - 1/2*i**2 - h*i**3 + 0*i.
-i**2*(i + 1)/2
Find g, given that -243*g**3 + 5*g**5 + 10*g - 5*g**4 - 35*g**2 + 288*g**3 - 20*g**4 = 0.
0, 1, 2
Let b(j) = -3*j**2 + 34*j + 26. Let s be b(12). Suppose 1/4*f**3 + s*f - 5/4*f**2 - 1 = 0. Calculate f.
1, 2
Let i(h) = -2*h**2 + 4*h - 13. Let j(f) = f**2 - 2*f - 2. Let b be j(4). Let t(p) = -p**2 + 2*p - 7. Let k(r) = b*i(r) - 11*t(r). Factor k(v).
-(v - 1)**2
Let q(o) be the third derivative of -o**8/336 + o**7/210 + o**6/60 - 12*o**2 + 2. Factor q(t).
-t**3*(t - 2)*(t + 1)
Let v(t) be the first derivative of 4*t**5/5 - 4*t**3 + 4*t**2 - 8. Factor v(o).
4*o*(o - 1)**2*(o + 2)
Suppose 27 = -3*d + 33. Solve -2*j - 2 - 1/2*j**d = 0 for j.
-2
Let c(d) be the third derivative of -d**6/180 + d**5/90 + 5*d**4/36 + d**3/3 - 6*d**2. Factor c(q).
-2*(q - 3)*(q + 1)**2/3
Factor -2/3*c**3 - 8/3 + 0*c + 2*c**2.
-2*(c - 2)**2*(c + 1)/3
Factor 0 - 2/7*s - 2/7*s**2.
-2*s*(s + 1)/7
Let n be (-4)/(-14) - 75/(-7). Suppose n - 3 = 4*q. Suppose 6*r + 2*r**4 - 6*r**3 - 3*r**2 + 2*r**2 + 3*r**q - 4 + 0*r**2 = 0. Calculate r.
-1, 1, 2
Let f(o) = -o**3 - o**2 - o. Let u(r) = -r**2 - 5*r. Let v(y) = -5*f(y) + 5*u(y). Solve v(s) = 0 for s.
-2, 0, 2
Let z = -77/6 + 27/2. Factor 4/3 - 2/3*w**2 + z*w.
-2*(w - 2)*(w + 1)/3
Let r(n) = n + 19. Let v be r(-10). Suppose -22*b**4 - b**3 + 12*b**4 + v*b**4 = 0. What is b?
-1, 0
Let u(x) = 35*x**3 + 745*x**2 + 2185*x - 25. Let h(i) = 3*i**3 + 62*i**2 + 182*i - 2. Let r(p) = 25*h(p) - 2*u(p). Factor r(q).
5*q*(q + 6)**2
Factor 3 + 7/4*l**2 - 1/4*l**3 - 4*l.
-(l - 3)*(l - 2)**2/4
Let c(p) be the first derivative of p**7/420 + p**6/120 - 3*p**2/2 - 7. Let v(b) be the second derivative of c(b). Factor v(q).
q**3*(q + 2)/2
Suppose -3 = h - 8. Suppose -5*t + 5 = -h. Factor 0*m - 1/2 - 1/2*m**4 + 0*m**3 + m**t.
-(m - 1)**2*(m + 1)**2/2
Let k(q) = -36*q**3 - 8*q**2 - 28*q + 28. Let j(c) = 4*c**3 + c**2 + 3*c - 3. Let o(u) = -28*j(u) - 3*k(u). Factor o(g).
-4*g**2*(g + 1)
Find c such that -7*c**2 + 0*c - 3*c**3 + c**2 - 2*c + 6*c**4 + 5*c**3 = 0.
-1, -1/3, 0, 1
Let j(t) be the first derivative of -t**3/3 + 3*t**2/2 - 2*t + 3. Find g such that j(g) = 0.
1, 2
Let i(f) = -5*f**2 + f + 2. Suppose -5*k - 2 = -17. Let o(s) = 6*s**2 - 3. Let n(g) = k*i(g) + 2*o(g). Suppose n(r) = 0. What is r?
0, 1
Let h(d) be the third derivative of 5*d**8/168 + d**7/15 - 2*d**6/15 - 2*d**5/15 - 12*d**2. Find c such that h(c) = 0.
-2, -2/5, 0, 1
Let d(u) be the third derivative of -2/5*u**5 - 4/3*u**4 - 2*u**3 + 0*u - 5*u**2 + 0 + 2/105*u**7 + 0*u**6. Determine q so that d(q) = 0.
-1, 3
Let q(f) = f**5 - 5*f**4 - 2*f**3 + 4*f**2 + 7*f + 1. Let n(s) = 2*s**5 - 9*s**4 - 4*s**3 + 7*s**2 + 13*s + 2. Let r(w) = 6*n(w) - 11*q(w). Factor r(m).
(m - 1)**2*(m + 1)**3
Factor 0 - 1/2*p**4 + 0*p + 1/2*p**5 + 1/2*p**2 - 1/2*p**3.
p**2*(p - 1)**2*(p + 1)/2
Let g(x) be the first derivative of -x**5/180 - x**4/36 - x**3/18 - 3*x**2/2 + 3. Let l(o) be the second derivative of g(o). Determine i so that l(i) = 0.
-1
Let u(d) be the second derivative of -3*d**5/40 - 12*d. Suppose u(l) = 0. Calculate l.
0
Suppose 2000/9 + 4820/3*w**2 - 3800/3*w + 2*w**5 + 176/3*w**4 + 5042/9*w**3 = 0. What is w?
-10, 1/3
Let n be (-3)/1 - (-140)/42. Fac