(m) - 4*v(m). Find r such that q(r) = 0.
-1, 1/2
Let q(b) = -b**2 - 5*b. Let p be q(-4). Suppose -t = 1 - p. Factor -t*v**2 - 3*v**2 + 4*v**2 + 2*v.
-2*v*(v - 1)
Determine w so that -242/7*w**3 + 88/7*w**2 + 0 - 8/7*w = 0.
0, 2/11
Let w(g) be the second derivative of -1/21*g**7 + 2*g + 1/5*g**6 - g**2 - 1/3*g**4 + 0 - 1/5*g**5 + g**3. Factor w(o).
-2*(o - 1)**4*(o + 1)
Find x such that 2/9*x - 1/9 - 1/9*x**2 = 0.
1
Determine a so that -8/3 - 2*a**2 + 16/3*a + 2/3*a**4 - 4/3*a**3 = 0.
-2, 1, 2
What is i in 0 + 0*i**2 + 1/3*i**3 - 4/9*i - 1/9*i**4 = 0?
-1, 0, 2
Let a(v) = -4*v. Let o be a(-1). Suppose -3*t - 2 = -o*t. Find i, given that 2*i + 0*i**t - 2/3*i**3 + 4/3 = 0.
-1, 2
Let v(p) = 6*p**3 - 4*p**2 + 14*p + 24. Let j(c) = 2*c**3 - c**2 + 5*c + 8. Let r(f) = 14*j(f) - 5*v(f). Factor r(k).
-2*(k - 2)**2*(k + 1)
Suppose 11*m - 14*m = 0. Factor 2/9*y - 2/9*y**2 + m.
-2*y*(y - 1)/9
Let u(w) be the first derivative of 3*w**5/5 + 3*w**4/4 - w**3 - 3*w**2/2 - 7. Factor u(f).
3*f*(f - 1)*(f + 1)**2
Factor -1/3*z**2 - 27 + 6*z.
-(z - 9)**2/3
Let z(x) be the third derivative of x**8/60480 - x**6/2160 - x**5/20 - x**2. Let o(u) be the third derivative of z(u). Factor o(d).
(d - 1)*(d + 1)/3
Let d(b) = 4*b**3 - 10*b**2 + 10*b + 2. Let f(v) = -5*v**3 + 10*v**2 - 11*v - 3. Let y(a) = 6*d(a) + 4*f(a). Factor y(j).
4*j*(j - 4)*(j - 1)
Let m(x) be the first derivative of x**3 - 14. Factor m(b).
3*b**2
Let a = -387 - -1163/3. Let -a*k + 0*k**3 + k**2 + 0 - 1/3*k**4 = 0. What is k?
-2, 0, 1
Let n = 140 - 85. Let f be ((-22)/n)/((-1)/5). Factor 48/7*i**3 + 50/7*i**5 + 8/7*i**f + 90/7*i**4 + 0*i + 0.
2*i**2*(i + 1)*(5*i + 2)**2/7
Let b(r) be the third derivative of r**6/180 + r**5/20 + r**4/6 + 2*r**3/3 + 4*r**2. Let f(j) be the first derivative of b(j). Find n such that f(n) = 0.
-2, -1
Let l(v) be the second derivative of v**9/52920 - v**8/11760 + v**7/8820 - v**4/6 + 7*v. Let w(r) be the third derivative of l(r). Solve w(k) = 0 for k.
0, 1
Let u be (8 - 1)/((-2)/(-4)). Suppose 2 + u = 4*s + 2*w, 2*w + 2 = 5*s. Determine n, given that -3*n**2 + 2*n**s + 0*n**2 + 6*n + 2*n**3 - 2 - 5*n**2 = 0.
1
Let m(b) = -b**3 + 5*b**2 + 8*b - 10. Let u be m(6). Factor u*j**3 + 5*j**3 + j**4 - 2*j**5 - 2*j**2 - 5*j**3 + j**4.
-2*j**2*(j - 1)**2*(j + 1)
Let f be (-8)/(-40) - (-4)/5. Let c(n) = -n**2. Let l(a) = -a**2 + 4. Let z(i) = f*l(i) + 3*c(i). Factor z(h).
-4*(h - 1)*(h + 1)
Let f(x) be the third derivative of x**5/30 - x**4/8 + x**3/6 - 35*x**2. Find b, given that f(b) = 0.
1/2, 1
Suppose -2 + 2*c + 5*c**2 - c**4 + 2*c - 3*c - c**3 - 2*c**2 = 0. What is c?
-2, -1, 1
Let i(m) be the first derivative of m**6/300 + m**5/50 + m**4/20 + m**3/15 + m**2 - 1. Let c(n) be the second derivative of i(n). Factor c(k).
2*(k + 1)**3/5
Suppose i - 2*i + 2 = 0. Suppose -i*d + 0*d = 0. Determine p so that -1/5*p**3 + d + 0*p**2 + 0*p = 0.
0
Let x(i) = -i**2 - 3*i - 2. Let l be x(-4). Let d be (-4)/l*6/16. Find h such that -1/4*h + 0 + d*h**2 = 0.
0, 1
Let h(g) = 7*g**3 - 2*g**2 - 9*g + 2. Let d(q) be the second derivative of -q**3/6 - q. Let j = 2 + 0. Let f(s) = j*d(s) - h(s). Find v, given that f(v) = 0.
-1, 2/7, 1
Let c(z) be the third derivative of -7/480*z**6 + 0*z + 1/48*z**4 + 0*z**3 + 0 + 1/48*z**5 + z**2. Factor c(f).
-f*(f - 1)*(7*f + 2)/4
Let d(c) = -c**2 + c + 3. Let v be d(0). Let r = v + -3. Let -2/5*i**2 + r - 4/5*i = 0. What is i?
-2, 0
Factor -2/3*o - 2/9*o**2 + 0.
-2*o*(o + 3)/9
Let m = -17 - -19. Let q be m - (3 - 18/14). Determine g so that 4/7*g**3 + q*g**2 + 0*g + 0 + 2/7*g**4 = 0.
-1, 0
Let u(t) be the first derivative of -11*t**6/10 + 102*t**5/25 - 9*t**4/20 - 44*t**3/5 + 6*t**2/5 + 39. Let u(k) = 0. What is k?
-1, 0, 1/11, 2
Let s(m) be the first derivative of 12*m**3 - 60*m**2 + 100*m + 32. Factor s(v).
4*(3*v - 5)**2
Factor 1/3*j**5 + 0 + 0*j + 16/3*j**3 + 8/3*j**4 + 0*j**2.
j**3*(j + 4)**2/3
Suppose u + 2*j + 8 = 3, 0 = u + j. Determine n so that -4*n + 11*n**4 + 16*n**2 + n**3 - 28*n**3 - 2*n**u + 6*n**3 = 0.
0, 1/2, 1, 2
Let s be (-2 - 0) + (-10 - -15). Let 3/2*i**s + 1/2*i**4 - 2*i + 0*i**2 + 0 = 0. Calculate i.
-2, 0, 1
Let l = -26 + 15. Let g(x) = -2*x**4 + 13*x**2 + 11*x - 11. Let y(j) = -j**4 + 7*j**2 + 6*j - 6. Let v(k) = l*y(k) + 6*g(k). Let v(n) = 0. What is n?
-1, 0, 1
Let t(y) = -9*y**3 + 2*y**2 + 11. Let l(g) = -g**3 + 1. Let p(j) = 22*l(j) - 2*t(j). Solve p(w) = 0 for w.
-1, 0
Let o(y) = -10*y + 24. Let k(d) = 3*d - 8. Let g(t) = -7*k(t) - 2*o(t). Let m be g(5). Factor 10*v + 2*v**5 + 0*v + 20*v**m + 2 + 20*v**2 + 6*v**4 + 4*v**4.
2*(v + 1)**5
Suppose -2*a = z - 3, 0 = -a - z - 0*z + 1. Let t(p) be the third derivative of 0*p**4 + p**a + 0 + 1/3*p**3 - 1/30*p**5 + 0*p. Factor t(c).
-2*(c - 1)*(c + 1)
Let i = -72 - -135. Let z be (4/(-7))/((-90)/i). Determine t, given that z*t**2 + 4/5*t + 0 = 0.
-2, 0
Factor -3/4*v**2 + 3/4 + 0*v.
-3*(v - 1)*(v + 1)/4
Let c(d) be the second derivative of d**6/30 - d**4/4 + d**3/3 + 5*d. Factor c(k).
k*(k - 1)**2*(k + 2)
Suppose -2*z**2 - 10*z - 2 - 2*z**3 + 1 + 12*z + 3 = 0. Calculate z.
-1, 1
Let z(b) be the first derivative of b**3/4 - 9*b**2/4 + 27*b/4 + 11. Let z(d) = 0. What is d?
3
Let w(p) be the first derivative of 0*p + 1/3*p**3 - 2 - 1/2*p**2. Factor w(n).
n*(n - 1)
Let w(s) = 11*s**3 + 15*s**2 - 3*s - 1. Let t(z) = z**3 + z**2 - z. Let v be 112/(-18) + (-22)/(-99). Let f(u) = v*t(u) + w(u). What is p in f(p) = 0?
-1, 1/5
Suppose -g + 0 = -3. Factor -g*q**2 + 2*q**2 - 2*q - 2*q**3 - 3*q**2.
-2*q*(q + 1)**2
Suppose -14*j - 9 = -23*j. Determine g, given that -1/2*g**3 + 1/2*g - j + g**2 = 0.
-1, 1, 2
Factor -21/5 - 3/5*n**2 - 24/5*n.
-3*(n + 1)*(n + 7)/5
Factor 1/4*c**5 + 0*c**3 + 0 + 1/2*c**4 - 1/4*c - 1/2*c**2.
c*(c - 1)*(c + 1)**3/4
Let v(p) be the third derivative of -1/6*p**3 + 4*p**2 + 0 + 0*p + 1/48*p**4 - 1/240*p**6 + 1/60*p**5. Let v(k) = 0. What is k?
-1, 1, 2
Suppose -35*k + 4 = -33*k. Let j(o) be the second derivative of -1/30*o**5 - 1/18*o**4 + 0 - 3*o + 0*o**k + 2/9*o**3. Solve j(z) = 0.
-2, 0, 1
Let v(u) be the second derivative of u**2 + 0 - 1/360*u**5 + 0*u**3 - 2*u - 1/72*u**4. Let a(t) be the first derivative of v(t). What is x in a(x) = 0?
-2, 0
Let o be 3/6*(2 + -6). Let x be 1/(5 - (-2)/o). Factor -b**3 + 1/4*b**4 + x - b + 3/2*b**2.
(b - 1)**4/4
Let p(n) = -4*n**3 + 2*n**2 + 2. Let m(g) = 5*g**3 - 2*g**2 - 3. Let h be (-1)/(3 + 20/(-6)). Let v(l) = h*p(l) + 2*m(l). Let v(x) = 0. Calculate x.
0, 1
Let w(m) = 2*m - m**3 + 0*m + 0 + 2*m**3 - 3*m**2 - 2. Let k = 7 + -3. Let a(i) = 6*i**3 - 16*i**2 + 10*i - 11. Let u(n) = k*a(n) - 22*w(n). Factor u(x).
2*x*(x - 1)*(x + 2)
Let z(a) = 3*a. Let r be z(-1). Let l(b) = 3*b**3 - b**2 + 2. Let k(q) = -3 + 2*q**2 - 4*q**3 - 3*q**3 + 4*q**3. Let v(t) = r*l(t) - 2*k(t). Factor v(x).
-x**2*(3*x + 1)
Factor -2/9 - 2/9*w**3 - 2/3*w - 2/3*w**2.
-2*(w + 1)**3/9
Let s(u) = u - 1. Let w be s(5). Factor 2*z**w + 27*z - 27*z - 2*z**2.
2*z**2*(z - 1)*(z + 1)
Let i be (0 - -1)/((-1)/5). Let l(v) = -v - 3. Let j be l(i). Factor 2*x**4 - 2*x**2 - 2*x**3 + 2*x**5 + 0*x**j + 0*x**2.
2*x**2*(x - 1)*(x + 1)**2
Let t be ((-18)/10)/(-3)*(-2)/(-108). Let z(k) be the third derivative of 0 - k**2 + 0*k**4 + 0*k + t*k**5 - 1/9*k**3. Let z(l) = 0. What is l?
-1, 1
Let h(b) = b**3 + 7*b**2 - 25*b + 25. Let o(s) = -1 + s**3 + 9*s - 8*s + 2*s**2 - 3*s**2. Let k(v) = 3*h(v) - 6*o(v). Let k(p) = 0. What is p?
3
Let p(n) = -16*n**3 + 92*n**2 - 245*n - 11. Let v(i) = 3*i**3 - 18*i**2 + 49*i + 2. Let c(k) = 6*p(k) + 33*v(k). Factor c(r).
3*r*(r - 7)**2
Suppose -c - 5*j - 28 = 0, 2*c + j = -0 - 11. Let b be ((-1)/c)/(4/6). Factor -1/2*m**3 + b*m**4 - 1/2*m**2 + 1/2*m + 0.
m*(m - 1)**2*(m + 1)/2
Let m(r) = 249*r**3 - 60*r**2 + 9*r - 6. Let z(d) = -248*d**3 + 59*d**2 - 8*d + 5. Let f(s) = 5*m(s) + 6*z(s). Factor f(p).
-3*p*(9*p - 1)**2
Let z(y) be the first derivative of y**9/4536 - y**7/630 + y**5/180 - 2*y**3/3 + 9. Let t(a) be the third derivative of z(a). Factor t(c).
2*c*(c - 1)**2*(c + 1)**2/3
Let i(u) be the second derivative of -u**3/2 - u**2 + u. Let z be i(-2). Factor -4*t**2 - 6*t**5 + t**5 + 3*t**5 + 0*t**4 + 2*t + z*t**4.
-2*t*(t - 1)**3*(t + 1)
Let l(f) be the third derivative of -5*f**6/32 + 7*f**5/8 - 11*f**4/8 + f**3 + f**2. Determine s, given that l(s) = 0.
