2*x(b). Factor l(a).
-(a - 2)*(a - 1)
Let r(n) = -3*n**2 + 2*n. Let w be r(2). Let s(p) = -4 + 5 + 10 + 11*p**2 - 14*p. Let q(g) = -7*g**2 + 9*g - 7. Let f(b) = w*q(b) - 5*s(b). Factor f(k).
(k - 1)**2
Let u(b) be the second derivative of 0 - b + 0*b**2 - 1/6*b**4 + 1/10*b**5 + 0*b**3. Determine o, given that u(o) = 0.
0, 1
Let b = 1982/9 + -220. Let d(f) be the first derivative of 2/3*f**2 + b*f**3 + 3 + 2/3*f. Find k such that d(k) = 0.
-1
Let b(m) be the first derivative of -m**7/1155 - m**6/330 + m**5/110 + m**4/33 - 4*m**3/33 + m**2/2 - 1. Let j(g) be the second derivative of b(g). Factor j(u).
-2*(u - 1)**2*(u + 2)**2/11
Let i(h) = -h**2 + h. Let a(d) = 3*d**2 - 5*d + 2. Let r(o) = -3*a(o) - 12*i(o). Let r(w) = 0. Calculate w.
-2, 1
Let o(z) be the second derivative of -z**4/20 + z**3/10 + 13*z. Determine f so that o(f) = 0.
0, 1
Factor -2/3*v + 0 - 4/3*v**2.
-2*v*(2*v + 1)/3
Let n(g) be the second derivative of -1/24*g**3 + 0 + 0*g**2 - g + 1/48*g**4. Factor n(k).
k*(k - 1)/4
Let f(z) be the first derivative of 5*z**3/3 + 7*z**2/2 + 2*z - 2. Let t(r) = -24*r**2 - 34*r - 10. Let n(j) = -14*f(j) - 3*t(j). Factor n(l).
2*(l + 1)**2
Suppose 5*q - 6 = -6*i + 2*i, 0 = 3*q - 4*i - 10. Let n be 5 + (0 - -1 - 1). Factor 0 - 1/2*l**n + l**q + 0*l**3 + 1/2*l - l**4.
-l*(l - 1)*(l + 1)**3/2
Let q(n) be the third derivative of -n**8/1512 - n**7/945 - 42*n**2. Factor q(j).
-2*j**4*(j + 1)/9
Let w be -4*3/9*6. Let q be (w/12)/(1/(-3)). Let 0*d + 4/5*d**q + 0 - 2/5*d**3 = 0. What is d?
0, 2
Let s(x) be the third derivative of -2/9*x**3 + 0 - 2*x**2 + 1/9*x**4 + 0*x - 1/60*x**5. Factor s(q).
-(q - 2)*(3*q - 2)/3
Let l(x) be the third derivative of 0*x - 1/108*x**4 + 0 - 3*x**2 + 1/540*x**6 + 0*x**5 + 0*x**3. Factor l(v).
2*v*(v - 1)*(v + 1)/9
Let g(a) be the first derivative of 2*a**6/3 + 4*a**5/5 - 3*a**4 - 4*a**3/3 + 4*a**2 - 8. Factor g(l).
4*l*(l - 1)**2*(l + 1)*(l + 2)
Let z = 5 - 5. Suppose -3*u + g + 2 = z, 4*u - 5 + 13 = 4*g. Factor 2*l**2 - 4*l**2 + 2*l**3 + 2*l**3 - u*l**4.
-2*l**2*(l - 1)**2
Factor -13*x**4 + 6*x**2 - 10*x + 9*x**2 + 10*x**3 - 2*x**4.
-5*x*(x - 1)*(x + 1)*(3*x - 2)
Let t be 2 - (-1)/(6/(-4)). Let 4/3*q**2 + 2/3*q - 2/3*q**4 - 2/3 + 2/3*q**5 - t*q**3 = 0. Calculate q.
-1, 1
Let w(u) be the third derivative of 0 - 1/12*u**4 - 5*u**2 - 1/60*u**6 + 0*u**3 + 0*u - 1/15*u**5. Let w(s) = 0. What is s?
-1, 0
Let w = 1567 + -6267/4. Factor -1 - r - w*r**2.
-(r + 2)**2/4
Let a(c) be the second derivative of -3/4*c**4 + 0 + c**2 - c + 7/6*c**3. Let a(w) = 0. What is w?
-2/9, 1
Suppose d**2 - 2*d + 0*d - 8*d + 2*d + 16 = 0. What is d?
4
Let q(v) be the third derivative of 0*v**3 + 0 - 1/48*v**5 + 1/168*v**7 + 0*v - 1/240*v**6 + v**2 + 1/48*v**4. Find k such that q(k) = 0.
-1, 0, 2/5, 1
Let k be (-2)/(-8) + (-45)/(-108). Factor -k*h**2 - 2/3*h + 0 + 2/3*h**4 + 2/3*h**3.
2*h*(h - 1)*(h + 1)**2/3
Let t(b) be the third derivative of b**5/150 + b**4/30 + b**3/15 + 5*b**2. Factor t(x).
2*(x + 1)**2/5
Let t(d) = -47*d**3 - 58*d**2 + 57*d - 12. Let w(v) = -330*v**3 - 405*v**2 + 400*v - 85. Let k(c) = -15*t(c) + 2*w(c). Factor k(f).
5*(f + 2)*(3*f - 1)**2
Let t(h) be the second derivative of -h**4/18 + h**3/3 + 4*h**2/3 + 8*h. Factor t(o).
-2*(o - 4)*(o + 1)/3
Factor -16*l**2 - 2*l**5 - 10*l**4 - 2*l + 4*l**2 - 12*l**3 + 4*l**2 + 2*l**4.
-2*l*(l + 1)**4
Find h, given that 2*h**3 + 0 - 2*h**4 + 0*h + 2/3*h**5 - 2/3*h**2 = 0.
0, 1
Let k = -3 + 5. Let p(z) be the first derivative of 1/3*z**3 + 0*z**2 - k + 0*z. Find a, given that p(a) = 0.
0
Suppose -4 = 4*z + 4*y - 32, 4*y + 8 = -z. Find r, given that 11*r - 10*r - z*r**2 - 4*r**3 - 13*r - 4 = 0.
-1
Let w(u) = u**2 - u + 1. Let g(j) = j**2 - 5*j + 15. Let h(m) = 2*g(m) - 6*w(m). Suppose h(i) = 0. Calculate i.
-3, 2
Let i = -71 + 356. Let o = -3133/11 + i. Suppose 2/11*d**2 + o*d + 0 = 0. Calculate d.
-1, 0
Let s(m) be the first derivative of -2/15*m**3 + 0*m**2 + 4/25*m**5 + 0*m + 7/20*m**4 - 3. Factor s(a).
a**2*(a + 2)*(4*a - 1)/5
Let l(u) be the first derivative of 2*u**4/7 + 10*u**3/21 + u**2/7 - 23. Determine o so that l(o) = 0.
-1, -1/4, 0
Let l(z) be the third derivative of z**7/525 - z**6/100 + z**5/75 + 59*z**2. Factor l(g).
2*g**2*(g - 2)*(g - 1)/5
Factor 5 - 19 - 3 - 27*i - 3*i**2 - 7.
-3*(i + 1)*(i + 8)
Let w(f) = 4*f**3 + 5*f**2 - 7*f - 8. Let t(v) = 6*v**3 + 8*v**2 - 10*v - 12. Suppose -25 = 4*h + h. Let d(m) = h*t(m) + 8*w(m). Factor d(q).
2*(q - 2)*(q + 1)**2
Let c(o) = -o**3 - o**2 + o. Let i(d) = -5*d. Let s(a) = a**2 - 9*a. Let w(m) = -10*i(m) + 6*s(m). Let j(n) = -2*c(n) - w(n). Suppose j(x) = 0. Calculate x.
0, 1
Let d(g) = -36*g**2 + 48*g - 21. Let f(p) = 9*p**2 - 12*p + 5. Let i(s) = -2*d(s) - 9*f(s). Find k, given that i(k) = 0.
1/3, 1
Let 147*b**5 - 192*b**2 + 7*b + 29*b - 172*b**3 - 672*b**4 - 108*b**2 + 961*b**3 = 0. Calculate b.
0, 2/7, 1, 3
Find l such that -2*l**2 - 12 - 1135*l + 1119*l - 2*l**2 = 0.
-3, -1
Let i = -9 - -15. Let q(c) be the first derivative of 5*c**2 + 1/3*c**i - 2*c**5 + 5*c**4 - 20/3*c**3 - 2*c + 1. Find v such that q(v) = 0.
1
Let j(a) be the third derivative of 7*a**2 + 0*a + 1/180*a**5 - 1/360*a**6 + 0 - 1/18*a**3 + 1/72*a**4. Factor j(s).
-(s - 1)**2*(s + 1)/3
Let r = -6308/11 - -574. Let x = 29/33 - r. Find v such that -2/3*v**3 + 1/3*v**4 + 0*v**2 + 2/3*v - x = 0.
-1, 1
Let r = 576/5 + -115. Let o be 2/4 + (-3)/10. Factor -o*a**4 + 1/5*a**5 - 2/5*a**3 - r + 1/5*a + 2/5*a**2.
(a - 1)**3*(a + 1)**2/5
Let v(r) be the third derivative of 0*r + 0 + 1/30*r**4 - 5*r**2 + 0*r**3 + 1/525*r**7 + 1/75*r**6 + 1/30*r**5. Let v(s) = 0. Calculate s.
-2, -1, 0
Let l be (1/(-2) - (-68)/120)*6. Suppose -1/5*x**2 - l*x - 1/5 = 0. What is x?
-1
Let z be (2/5)/(52/65). Let w(l) be the second derivative of -z*l**2 + 1/3*l**3 - 1/12*l**4 + 3*l + 0. Let w(t) = 0. What is t?
1
Let p(z) = -z**3 - 6*z**2 - 5*z - 2. Let q be p(-5). Let x be q/(-6) + 5/3. Solve 4*h**3 + h**2 - h**3 - x*h**3 = 0.
-1, 0
Let p(s) = 3*s**2 + 18*s - 12. Let r(t) be the first derivative of 2*t**3/3 + 17*t**2/2 - 12*t - 3. Let a(b) = 5*p(b) - 6*r(b). What is l in a(l) = 0?
2
Let p(y) = y**5 + y**4 + y**3 - y**2 + y + 1. Let r(z) = 7*z**5 + z**4 + 14*z**3 - 10*z**2 + 6*z + 6. Let w(h) = -6*p(h) + r(h). Factor w(g).
g**2*(g - 2)**2*(g - 1)
Let a(f) be the first derivative of -3/32*f**4 - 3/8*f**3 - 3 + 15/16*f**2 + 3/40*f**5 - 3/4*f. Find t, given that a(t) = 0.
-2, 1
Suppose -3*i - a + 4 = 0, -2*a - 11 = -2*i + 5. Suppose -i + 18 = 3*c. Factor 4*v**5 - 2*v**4 - 3*v**c + 3*v**3 - 2*v**3.
v**3*(v - 1)**2
Suppose 25 = 5*v - 5. Let g(d) be the third derivative of 0*d**3 + 0*d**4 - 1/360*d**v - d**2 + 1/180*d**5 + 0*d + 0. Factor g(s).
-s**2*(s - 1)/3
Let f(l) be the second derivative of -l**5/20 + l**4/8 - 3*l**2 - l. Let r(n) be the first derivative of f(n). Factor r(z).
-3*z*(z - 1)
Suppose 4*a + 35 = 2*d + 7, -2*d + 3*a + 26 = 0. Suppose d = k + 4*o - 4, k + 4 = 2*o. Let 1/3*n**k + 0 + 1/3*n = 0. Calculate n.
-1, 0
Let m(c) = 5*c**3 - c + 1. Suppose 0 = -3*f - f + 4. Let s be m(f). Let -4*z**4 + 3*z**5 + z**5 - z**s - 2*z**3 + 3*z**5 = 0. Calculate z.
-1/3, 0, 1
Let c(q) = -q**2 - 9*q - 10. Let w be c(-7). Let -1/4*y**w + y**3 - 1/4 + y - 3/2*y**2 = 0. Calculate y.
1
Determine w, given that 48*w + 46 - 4*w**2 + 0*w**2 + 35 - 29 = 0.
-1, 13
Let r = 143 - 422/3. Let y(t) be the second derivative of r*t**4 + 0*t**2 + 25/42*t**7 + t + 2/3*t**3 + 0 + 69/20*t**5 + 7/3*t**6. Find p such that y(p) = 0.
-1, -2/5, 0
Let a be (-3)/36 + (-7)/(-84). Find t, given that a*t - 3/2*t**2 + 3/2 = 0.
-1, 1
Let j = -705 + 8465/12. Let c(u) be the second derivative of 1/10*u**5 + 1/4*u**4 + 0 + 2*u - j*u**3 + 1/4*u**2 - 2/15*u**6. Factor c(i).
-(i + 1)*(2*i - 1)**3/2
Let f(o) = 20*o**3 - 20*o**2 + 28*o - 28. Let l(n) = -n**3 + 1. Let y(g) = f(g) + 16*l(g). Factor y(v).
4*(v - 3)*(v - 1)**2
Let q = -50/39 - -34/13. Let p(v) be the third derivative of -v**4 + v**2 + 21/10*v**5 + 49/15*v**6 - q*v**3 + 0 + 0*v. Factor p(k).
2*(4*k - 1)*(7*k + 2)**2
Let l(a) be the second derivative of -2*a**5/15 + 7*a**4/18 - 2*a**3/9 - a**2/3 - 5*a. Factor l(y).
-2*(y - 1)**2*(4*y + 1)/3
Suppose -4*q - 7 = -v + q, -2*q - 2 = 0. Let c(h) be the second derivative of h + 13/54*h**4 + 2/9*h**v - 2/45*h**5 - 11/27*h**3 + 0. Let c(k) = 0. W