) = r*b(v) - 4*m(v). Find z such that n(z) = 0.
-1, 0, 1
Let v(b) be the third derivative of 1/60*b**6 + 5/336*b**8 + 0*b**5 + 0 - 1/30*b**7 + 0*b**4 + 0*b**3 + 2*b**2 + 0*b. Factor v(a).
a**3*(a - 1)*(5*a - 2)
Suppose -3*m = -0*z + 4*z - 2, z - 5 = -3*m. Factor -12/11*n + 2/11*n**m + 18/11.
2*(n - 3)**2/11
Let y = 645/1141 + 1/163. Let y*p + 0 - 2/7*p**2 = 0. What is p?
0, 2
Let a(s) = -s**4 - 5*s**3 + 5*s**2 + s - 2. Let d(w) = 3*w**4 + 11*w**3 - 11*w**2 - 3*w + 5. Let t(i) = -5*a(i) - 2*d(i). Let t(z) = 0. What is z?
0, 1
Let x = -10 - -6. Let u be 3 - 0 - (x - 5). Factor -18*w**2 - 5*w**4 - 3 + u*w - 17*w**3 + 29*w**3 + 2*w**4.
-3*(w - 1)**4
Suppose -5 - 3 = -2*m. Let c = m - 2. Suppose 0*l + 0*l**4 - c*l**2 + 2*l + 2*l**4 - 2*l**3 = 0. Calculate l.
-1, 0, 1
Let d(s) = 6*s**4 - 10*s**3 + 21*s + 16. Let c(t) = t**4 - 2*t**3 + 4*t + 3. Let i(z) = -11*c(z) + 2*d(z). Factor i(v).
(v - 1)*(v + 1)**3
Suppose 2*r - 5 = 1. Factor 3*v**r - 2*v**3 - 6*v + 5*v.
v*(v - 1)*(v + 1)
Let m = 26 + -26. Let p(t) be the second derivative of 0 - 1/12*t**3 - 2*t + 1/24*t**4 + m*t**2. Solve p(u) = 0 for u.
0, 1
Let k = 3362/21 + -160. Let r(f) be the third derivative of -2/105*f**5 + 0*f + 0 + 1/84*f**4 - 1/140*f**6 - f**2 + k*f**3. Factor r(u).
-2*(u + 1)**2*(3*u - 2)/7
Let r(n) be the second derivative of -n**7/14 - 2*n**6/5 - 3*n**5/20 + 3*n**4/2 - 29*n. Suppose r(j) = 0. What is j?
-3, -2, 0, 1
Let z(u) = u**2 - 4*u - 7. Let v be z(6). Suppose v = -2*h + 31. What is s in 16*s**3 - 5*s**4 + 2*s**3 + 3*s**2 + 7*s**4 + h*s**4 = 0?
-1, -1/5, 0
Let s(b) be the first derivative of b**5/90 - b**4/27 - b**3/9 - 3*b + 2. Let x(a) be the first derivative of s(a). Factor x(p).
2*p*(p - 3)*(p + 1)/9
Suppose -14 = 4*n - 2, 5*n = 2*j - 97. Let q be j/5 - 4/20. Determine v, given that q + 98*v**2 + 50*v + 5*v + v = 0.
-2/7
Let u(g) be the third derivative of 0 + 0*g**6 - 1/315*g**7 + 0*g**3 + 1/504*g**8 - 4*g**2 + 0*g + 0*g**4 + 0*g**5. Factor u(s).
2*s**4*(s - 1)/3
Let j(d) = 13*d**2 + 24*d + 11. Let n(m) = -4*m**2 - 8*m - 4. Let a(i) = 2*j(i) + 7*n(i). Let a(t) = 0. Calculate t.
-3, -1
Let s(q) = -2*q**2 - 3*q - 4. Let a(l) = l**2 + l + 2. Let g(c) = -13*a(c) - 6*s(c). Let b(d) = 12*d**2 - 66*d + 27. Let t(z) = -2*b(z) - 27*g(z). Factor t(f).
3*f*(f - 1)
Let u be (1 - (-12)/(-28))*1. Suppose 0 + 2/7*a**2 - u*a = 0. What is a?
0, 2
Factor -3/2*h - 15/2*h**2 - 27/2*h**3 - 3*h**5 + 0 - 21/2*h**4.
-3*h*(h + 1)**3*(2*h + 1)/2
Let f(c) be the first derivative of -c**3/3 + c**2 - c + 31. Factor f(v).
-(v - 1)**2
Let h(y) be the second derivative of 4*y - 3/50*y**5 + 0 + 0*y**3 + 1/50*y**6 + 0*y**2 + 0*y**4. Suppose h(b) = 0. Calculate b.
0, 2
Let t(l) be the third derivative of 5*l**2 - 1/10*l**5 - 1/60*l**6 - 1/4*l**4 + 0 + 0*l - 1/3*l**3. Factor t(f).
-2*(f + 1)**3
Let z(i) be the second derivative of 1/15*i**4 + 0 - 1/15*i**3 - 1/50*i**5 - i + 0*i**2. Determine w, given that z(w) = 0.
0, 1
Find l, given that -17*l - 6 + 34*l + 3*l**2 - 20*l = 0.
-1, 2
Let u = -3 - -5. Let p = -118 + 594/5. Factor 1/5*g + 0 + g**u + p*g**3.
g*(g + 1)*(4*g + 1)/5
Let u be (-1 + 0)/((-3)/27). Let c = u - 4. Solve 2*y - 6*y**2 + c*y**2 + y**4 + y**3 - 3*y = 0 for y.
-1, 0, 1
Suppose 0*s - 18 = -s. Suppose v - 5*c = -s, v = -2*v - 3*c + 18. Factor 0*u + 0*u**2 + 4 - 2*u - 4*u**2 - v*u**2.
-2*(u + 1)*(3*u - 2)
Let o(i) = -i**2 - 2*i. Let c(g) = 21*g**2 + 36*g. Let k(b) = c(b) + 18*o(b). Determine j so that k(j) = 0.
0
Let h be 3/4 + (3 - (-65)/(-20)). Factor 1/2*s + 0 - h*s**4 - 3/2*s**2 + 3/2*s**3.
-s*(s - 1)**3/2
Let f = 6 - 5. Let d = 1 + f. Let t(h) = 4*h**2 + 2*h + 2. Let z(a) = 9*a**2 + 4*a + 5. Let s(p) = d*z(p) - 5*t(p). Solve s(i) = 0 for i.
-1, 0
Factor 0*r + 20/3 - 5/3*r**3 - 5*r**2.
-5*(r - 1)*(r + 2)**2/3
Let a = 59/66 + -5/22. Factor a*t**2 + 5/3*t**3 + 1/3*t**5 + 0*t + 4/3*t**4 + 0.
t**2*(t + 1)**2*(t + 2)/3
Factor 13/4 - 1/4*j**2 + 3*j.
-(j - 13)*(j + 1)/4
Suppose -2*f - 1 = -5. Let n(a) be the first derivative of 0*a + 1/2*a**2 + f - 2/3*a**3 + 1/4*a**4. Let n(u) = 0. What is u?
0, 1
Let u = 23/6 + -10/3. What is o in 0 + u*o**3 + 0*o**2 - 1/2*o = 0?
-1, 0, 1
Let g(v) be the third derivative of 1/224*v**8 + 0*v + 0*v**3 + 0*v**4 + 4*v**2 + 0 + 1/80*v**6 + 0*v**5 - 1/70*v**7. Factor g(p).
3*p**3*(p - 1)**2/2
Suppose -13 = 4*f - 1. Let h(m) = -m - 1. Let n be h(f). Determine r, given that -3*r**3 - 4*r**5 + 4*r**3 - 3*r**2 - n*r + 3*r**4 + 5*r**5 = 0.
-2, -1, 0, 1
Let l(t) = 15*t**2 + 9*t. Let k(n) = n**2 - 9*n + 5. Let d be k(8). Let o(z) = -14*z**2 - 10*z - 1. Let i(w) = d*o(w) - 2*l(w). Factor i(m).
3*(2*m + 1)**2
Let p(v) be the first derivative of -8*v**6/45 - 2*v**5/5 - v**4/36 + v**3/3 - v**2/6 - 2*v + 1. Let a(g) be the first derivative of p(g). Factor a(w).
-(w + 1)**2*(4*w - 1)**2/3
Let h(z) be the second derivative of z**8/1344 - z**6/240 + z**4/96 - z**2 + 2*z. Let n(j) be the first derivative of h(j). What is q in n(q) = 0?
-1, 0, 1
Let r(m) be the second derivative of -m**8/33600 + m**7/4200 - m**6/1200 + m**5/600 + m**4/2 - 6*m. Let o(v) be the third derivative of r(v). Solve o(h) = 0.
1
Let k = 4 - 4. Let z = 1/2 + k. Solve 1/2*n**2 + 0 + z*n = 0.
-1, 0
Factor 4/3*s + 2 - 2/3*s**2.
-2*(s - 3)*(s + 1)/3
Let b(s) = -s**3 - 4*s**2 - 5*s - 4. Let r be b(-3). Suppose -r + 12 = 5*u. What is v in u*v**5 + 2*v**3 - 3*v**5 + 0*v**4 + 1 + v**4 - v - 2*v**2 = 0?
-1, 1
Let q(p) = 6*p**2 - 5*p + 9. Let j(d) = d**2 + 1. Let z(f) = 5*j(f) - q(f). Find r such that z(r) = 0.
1, 4
Solve v**3 + v**4 - v**5 - 47*v**2 + 46*v**2 + 0*v**5 = 0 for v.
-1, 0, 1
Suppose -6*q = -q. Let d be 4 + (-2)/(q - -1). Find l, given that -4*l**4 + l**3 + l**d + 3*l**4 - l**5 + 0*l**2 = 0.
-1, 0, 1
Let h = 2 - -5. Let y be (-2 - -3)/(h/2). Suppose 2/7 + y*l**2 + 4/7*l = 0. Calculate l.
-1
Let c(k) be the second derivative of -k**4/72 + k**3/18 + 4*k. Factor c(l).
-l*(l - 2)/6
Let l(g) be the second derivative of -1/48*g**4 + 0*g**2 - 1/24*g**3 + 0 - 2*g. Solve l(f) = 0.
-1, 0
Let n(g) be the third derivative of -g**6/360 - g**5/60 - 5*g**3/6 - 2*g**2. Let k(p) be the first derivative of n(p). Let k(a) = 0. What is a?
-2, 0
What is a in 3/5*a**4 + 0 + 0*a - 24/5*a**2 + 21/5*a**3 = 0?
-8, 0, 1
Factor -45 + 11*y**3 + 25*y**2 - 15*y - 6*y**3 - 7*y**3 - 3*y**3.
-5*(y - 3)**2*(y + 1)
Let 1/2*i - 1/2*i**3 + 0*i**2 - 1/4 + 1/4*i**4 = 0. What is i?
-1, 1
Factor 0*w - 2*w - 2*w + w**4 + w**3 + 4 + w**3 - 3*w**2.
(w - 1)**2*(w + 2)**2
Let a(g) be the third derivative of g**8/80640 + g**7/20160 - g**5/60 + 3*g**2. Let r(n) be the third derivative of a(n). Factor r(y).
y*(y + 1)/4
Let g(o) = o**2 + o + 1. Let t be 27/(-36) - 66/8. Let m(q) = -12*q**4 + 15*q**3 - 12*q**2 - 9*q - 9. Let r(f) = t*g(f) - m(f). Let r(v) = 0. What is v?
0, 1/4, 1
Let 0 + 0*a - 1/5*a**4 - 1/5*a**3 + 0*a**2 = 0. Calculate a.
-1, 0
Let d(w) = 2*w**4 + 4*w**3 + 8*w**2 - 6. Let b(x) = -x**2 + 1. Let f(n) = -6*b(n) - d(n). Solve f(h) = 0 for h.
-1, 0
Let l(q) = 12*q - 3*q**2 - 16*q + 3 + 7*q - 11. Let f(v) = -2*v**2 + 2*v - 5. Suppose -3*i - 6 = 18. Let h(c) = i*f(c) + 5*l(c). Suppose h(n) = 0. Calculate n.
0, 1
Let r(m) = -11*m**4 + 25*m**3 - 118*m**2 + 200*m - 96. Let q(v) = -4*v**4 + 8*v**3 - 39*v**2 + 67*v - 32. Let h(x) = -8*q(x) + 3*r(x). What is o in h(o) = 0?
1, 2, 4
Let o(t) = 13*t**3 + 8*t**2 - 16*t + 5. Let m(c) = 8 + 13*c**3 - 19*c + 6*c**2 + 7*c**3 + 6*c**2 - 5*c. Let l(s) = 5*m(s) - 8*o(s). Factor l(n).
-4*n*(n - 1)*(n + 2)
Let j = 2551/3 + -862. Let o = -11 - j. Let o*w**4 + 4/3*w**3 + 0 + 0*w + 2/3*w**2 = 0. Calculate w.
-1, 0
Let k = -229 - -2063/9. Let b = 2723/36 + -299/4. Factor 10/9*h**3 + b + k*h**2 - 16/9*h - 2/9*h**4 - 2/9*h**5.
-2*(h - 1)**3*(h + 2)**2/9
Let x(s) be the third derivative of s**9/90720 - s**8/90720 + s**5/12 - 6*s**2. Let f(h) be the third derivative of x(h). Factor f(y).
2*y**2*(3*y - 1)/9
Let a be 1 - (0/2)/3. Suppose 2*r = 3*u + a, -3*r + u + 10 = 5*u. Determine y, given that 32/7*y**3 - 8/7 - 32/7*y + r*y**4 - 6/7*y**2 = 0.
-2, -1, -2/7, 1
Let s(m) = -7*m**4 - m**2 + 4*m + 4. Let w(p) = -p**4 - p**2 + p + 1. Let d(r) = -s(r) + 4*w(r). Factor d(v).
3*v**2*(v - 1)*(v + 1)
What is x in -4/7*x + 6/7 - 2/7*x**2 = 0?
-3, 1
Suppose -4/11 + 8/11*z**4 - 2*z**3 - 2*z - 40/11*z**2 + 8/11*z**5 = 0. What is z?