vative of -1/25*u**5 - 2*u + a + 0*u**3 - 1/75*u**6 - 1/30*u**4 + 0*u**2. Factor r(b).
-2*b**2*(b + 1)**2/5
Suppose -162/5 - 2/5*m**2 + 36/5*m = 0. Calculate m.
9
Let t = -60 - -62. Find u, given that -2*u + 2 + 1/2*u**t = 0.
2
Let r(q) = q**2 + q - 2. Let x(d) = 2*d**2 + 2*d - 3. Let f(a) = -3*r(a) + 2*x(a). Factor f(u).
u*(u + 1)
Let w(a) be the first derivative of a**8/1680 - a**6/360 - a**3 - 1. Let z(l) be the third derivative of w(l). Factor z(c).
c**2*(c - 1)*(c + 1)
Suppose 0 = 5*r - 2*a + a + 4, -4*a + 16 = -r. Suppose 1/3*i**2 + r*i + 0 = 0. Calculate i.
0
Solve 12*j + 0*j**2 - 2*j**2 - 16*j - 2 = 0.
-1
Let s be 1/((-2)/(-3 - 3)). Determine l so that -2 + 10*l**2 + 32*l**4 + 21*l**s - 85*l**3 + l + 3*l + 20*l**2 = 0.
-1/4, 1/4, 1
Suppose 0 = 5*k - 9 - 6. Suppose -k*a + 4 = -a. Determine w so that -5/6*w**4 + 5/6*w + 1/6*w**5 - 1/6 - 5/3*w**a + 5/3*w**3 = 0.
1
Let r(t) = 7*t**5 - 20*t**4 + 10*t**3 + 20*t**2 - 17*t. Let s(n) = -n**5 + n. Let c(b) = r(b) + 2*s(b). What is l in c(l) = 0?
-1, 0, 1, 3
Solve -2/9*i**2 + 2/3*i - 4/9 = 0 for i.
1, 2
Let j(b) be the second derivative of -343*b**5/110 + 49*b**4/22 - 7*b**3/11 + b**2/11 + 7*b. Determine z so that j(z) = 0.
1/7
Let i(g) be the first derivative of -g**4/18 - 4*g**3/27 - 1. What is z in i(z) = 0?
-2, 0
Let b(t) be the second derivative of 0*t**2 + 0 + 1/60*t**6 + 1/20*t**5 + t + 1/24*t**4 + 0*t**3. Factor b(v).
v**2*(v + 1)**2/2
Let i(l) be the third derivative of l**8/112 + 3*l**7/70 + l**6/40 - 3*l**5/20 - l**4/4 + 7*l**2. Find t, given that i(t) = 0.
-2, -1, 0, 1
Let h(n) be the first derivative of -n**4/34 + 8*n**3/51 + n**2/17 - 8*n/17 - 12. Factor h(g).
-2*(g - 4)*(g - 1)*(g + 1)/17
Factor -2/13*c + 2/13*c**2 - 4/13.
2*(c - 2)*(c + 1)/13
Let i = 15 + -15. Factor i*p**4 - 4*p**4 + 41*p + 4*p**3 - 45*p + 4*p**2.
-4*p*(p - 1)**2*(p + 1)
Let a be -2 - (2/(-5) + -2). Factor -4/5 - 6/5*g + 0*g**2 + a*g**3.
2*(g - 2)*(g + 1)**2/5
Factor 375*s**3 - 325*s**2 + 45*s + 60*s**2 + 48*s**4 - 3*s**4.
5*s*(s + 9)*(3*s - 1)**2
Let q be (-2)/(1*(-2 + 0)). Let r be q - 0 - 10/18. Factor -2/9 - 2/9*u**4 - 2/9*u + r*u**2 + 4/9*u**3 - 2/9*u**5.
-2*(u - 1)**2*(u + 1)**3/9
Factor 33*k + 19/3*k**2 + 27 + 1/3*k**3.
(k + 1)*(k + 9)**2/3
Let d(v) = v + 7. Let y be d(8). Suppose y*t - 14*t - 2 = 0. Let 1/4*u**4 + 1/2*u - 1/4 - 1/2*u**3 + 0*u**t = 0. Calculate u.
-1, 1
Let u = -1/613 - -616/1839. Suppose 0 - u*i**4 + 1/3*i**5 - i**3 + 2/3*i + 1/3*i**2 = 0. What is i?
-1, 0, 1, 2
Suppose 3*j = 3*v - 2*v + 3, -2*j - 5*v + 19 = 0. Let b(x) be the second derivative of j*x + 1/6*x**4 + 0*x**2 + 0*x**3 + 0. Factor b(p).
2*p**2
Suppose -9*p - 10*p = -21*p. Determine f, given that -1/2*f**2 + p - 1/2*f = 0.
-1, 0
Let n(m) be the second derivative of -m**7/294 + m**5/35 - m**4/42 - m**3/14 + m**2/7 + 20*m. Factor n(c).
-(c - 1)**3*(c + 1)*(c + 2)/7
Let m(p) be the first derivative of -10*p**4/11 - 26*p**3/33 - 2*p**2/11 + 10. Let m(z) = 0. What is z?
-2/5, -1/4, 0
Let w(v) = -3*v**4 - 12*v**3 - 5*v**2 + 16*v + 12. Let o(q) = 3*q**4 + 12*q**3 + 6*q**2 - 15*q - 12. Let a(r) = -4*o(r) - 3*w(r). Factor a(m).
-3*(m - 1)*(m + 1)*(m + 2)**2
Let x(p) be the first derivative of -1/2*p**2 - 1/6*p**3 - p + 1/12*p**4 - 1 + 1/20*p**5. Let z(f) be the first derivative of x(f). Find t, given that z(t) = 0.
-1, 1
Suppose 0 = 2*j + 6, 4*p + j = 5*p - 8. Let c(b) be the first derivative of -1/10*b**p - 2 + 1/4*b**4 + 0*b**2 + 0*b + 0*b**3. Suppose c(o) = 0. Calculate o.
0, 2
Let a(g) be the first derivative of g**2 - 6*g - 3. Let i be a(4). Factor 9*j - 7*j**2 + 0*j - 9*j**3 - 5 + i*j**2 + 3 + 7*j**4.
(j - 1)**2*(j + 1)*(7*j - 2)
Let i(k) be the third derivative of -k**7/105 + k**6/60 + k**5/30 - k**4/12 + 15*k**2. Let i(q) = 0. Calculate q.
-1, 0, 1
Let y = 3604/2157 + -3/719. Factor y*c**2 + 2/3*c + 0 + 1/3*c**4 + 4/3*c**3.
c*(c + 1)**2*(c + 2)/3
Let b(x) be the second derivative of -x**4/102 + x**3/17 + 5*x. Factor b(z).
-2*z*(z - 3)/17
Factor 2/9*y**2 + 0 - 2/3*y.
2*y*(y - 3)/9
Let i be 3/(-9) - 549/(-27). Let v(h) = -h + 22. Let l be v(i). Factor 1/3*j**3 - 4/3 + 8/3*j - 5/3*j**l.
(j - 2)**2*(j - 1)/3
Let x be (4/(-15))/((-117)/(-45) - 3). Determine r so that x*r**4 + 8*r**2 - 20/3*r + 2 - 4*r**3 = 0.
1, 3
Let i(n) be the second derivative of -1/150*n**5 + 0*n**3 + 0 - 2*n - 1/30*n**4 + 1/100*n**6 + 1/2*n**2. Let l(f) be the first derivative of i(f). Factor l(m).
2*m*(m - 1)*(3*m + 2)/5
Let j = 331/1860 + -5/31. Let n(f) be the third derivative of -1/6*f**3 + 1/12*f**4 + 0*f**5 + 0*f + 0 + f**2 + 1/210*f**7 - j*f**6. Factor n(d).
(d - 1)**3*(d + 1)
Let f(p) = -p**3 + 1. Let v be f(1). Suppose k - 5*k = -5*n - 33, 3*n + 23 = 4*k. Solve 1/4*t**k + 0 - 1/2*t**3 + v*t + 1/4*t**4 = 0 for t.
0, 1
Let l(d) be the first derivative of d**4/24 + d**3/18 + 13. Factor l(c).
c**2*(c + 1)/6
Let i(s) = -10*s**3 - 62*s**2 - 82*s - 42. Let r(p) = -4*p**3 - 25*p**2 - 33*p - 17. Let a(z) = 5*i(z) - 12*r(z). Factor a(w).
-2*(w + 1)**2*(w + 3)
Let k(v) be the first derivative of -2*v**5/5 + v**4/2 - 5. Factor k(c).
-2*c**3*(c - 1)
Factor 3/7 - 1/7*v - 2/7*v**2.
-(v - 1)*(2*v + 3)/7
Let p = -3 + 2. Let y be (-1)/p + (3 - 2). Factor 10*k**3 + 18*k + 22*k**y + 4 - 8*k**2 + 10*k**2.
2*(k + 1)**2*(5*k + 2)
Let j(f) be the first derivative of 8*f**3/9 - 5*f**2/3 + 2*f/3 - 3. Factor j(g).
2*(g - 1)*(4*g - 1)/3
Factor 0 - 1/5*i**3 + 1/5*i**2 + 0*i.
-i**2*(i - 1)/5
Let i(y) be the second derivative of -y**5/190 + y**4/38 - 2*y**3/57 + 39*y. Solve i(k) = 0.
0, 1, 2
Let n(l) be the third derivative of -l**7/280 + 3*l**5/40 - l**4/4 + l**3/6 + 3*l**2. Let a(k) be the first derivative of n(k). Factor a(r).
-3*(r - 1)**2*(r + 2)
Factor -5*l + 2*l + 14*l**3 + 6*l**3 - 25*l**2 + 13*l - 5*l**4.
-5*l*(l - 2)*(l - 1)**2
Let m(c) be the second derivative of -8*c**2 + 3*c + 0 - 8/3*c**3 - 1/3*c**4. Determine z so that m(z) = 0.
-2
Let z(p) be the first derivative of -4*p**5/5 + p**4 + 4*p**3 - 2*p**2 - 8*p - 3. Suppose z(n) = 0. What is n?
-1, 1, 2
Let a(m) be the second derivative of -7*m**4/96 + m**3/24 - 12*m. Factor a(i).
-i*(7*i - 2)/8
Suppose 0*m + 2/5*m**4 + 4/5*m**3 + 2/5*m**2 + 0 = 0. Calculate m.
-1, 0
Let i(g) be the third derivative of g**7/560 - 3*g**5/160 + g**4/32 - 9*g**2. Factor i(u).
3*u*(u - 1)**2*(u + 2)/8
Suppose -2*t + 6 = 0, -5*o - 3*t = -t - 36. Factor -6 + 2*w**2 + 6 + 4 - o*w.
2*(w - 2)*(w - 1)
Let q(d) be the third derivative of -d**5/20 + d**4/4 - d**3/2 + d**2. Factor q(y).
-3*(y - 1)**2
Let a(f) be the first derivative of 1/4*f**4 + 1/9*f**3 + 0*f + 2 + 1/5*f**5 + 0*f**2 + 1/18*f**6. Solve a(c) = 0.
-1, 0
Let v(o) = o**3 - 4*o**2 - 2. Let d be v(2). Let q be (-2 - -3)/(d/(-4)). Find r such that -q*r - 1/5 - 1/5*r**2 = 0.
-1
Find z, given that 3*z**4 - 15/4*z**3 + 0*z - 3/4*z**5 + 3/2*z**2 + 0 = 0.
0, 1, 2
Suppose 0 = k + 3*k. Let s(u) be the second derivative of k - 1/3*u**3 + 0*u**4 + u - 1/2*u**2 + 1/30*u**6 + 1/10*u**5. Solve s(v) = 0 for v.
-1, 1
Let c(k) be the third derivative of k**6/900 - k**5/75 + k**4/20 - 5*k**3/6 + 6*k**2. Let b(q) be the first derivative of c(q). Determine n so that b(n) = 0.
1, 3
Let v be (10/(-4))/(1/(-2)). Let y(r) be the first derivative of -2*r**4 - 9*r**v + 12*r**4 + 3*r + 5*r**4 - 2 + 2*r**6 - 10*r**3 + 4. What is j in y(j) = 0?
-1/4, 1
Let y(p) be the second derivative of p**6/60 - p**5/10 + p**4/6 - p - 1. Solve y(v) = 0 for v.
0, 2
Suppose -5*r = 3*n - 23, -n + 4 = 3*n. Suppose 0 = -7*u + r*u + 9. Suppose 0*y + 2/7*y**u + 0 + 2/7*y**2 = 0. Calculate y.
-1, 0
Let c = -6 + 3. Let r(q) = 3*q - 3*q + 3*q + 5*q**2 + 7. Let x(u) = 14*u**2 + 10*u + 20. Let t(v) = c*x(v) + 8*r(v). Find i such that t(i) = 0.
-2, -1
Let p(f) be the third derivative of 5*f**8/336 - f**7/14 + f**6/24 + f**5/4 - 5*f**4/12 - 28*f**2. Let p(g) = 0. Calculate g.
-1, 0, 1, 2
Let v(y) be the first derivative of y**4/16 - 5*y**3/12 + y**2 - y + 6. Suppose v(i) = 0. Calculate i.
1, 2
Let l(b) = b + 5. Let k be l(-4). Factor -2*d**3 - 3 + 0 + 6*d - k.
-2*(d - 1)**2*(d + 2)
Let r(s) = -17*s**4 - 24*s**3 + 5*s**2 + 3*s. Let b(z) = z**4 + z**2 - z. Let o(n) = -3*b(n) - r(n). Factor o(v).
2*v**2*(v + 2)*(7*v - 2)
Let p be (-3)/(-3 - (-15)/6). Let i(q) = -q**3 + 5*q**2 + 7*q - 3. Let m be i(p). Suppose -6*f**m + 0*f**3 + 3*f**3 = 0. Cal