5 + v**4 - 2*v**3 - y*v**5 - v**4.
2*v**3*(v - 1)*(v + 1)
Let y(c) be the first derivative of 12/5*c**5 + 9/2*c**4 + 7 + 3/2*c**2 + 4*c**3 + 1/2*c**6 + 0*c. Factor y(r).
3*r*(r + 1)**4
Factor -196/15 + 154/15*y + 2/15*y**3 - 32/15*y**2.
2*(y - 7)**2*(y - 2)/15
Let o be 2/5 - 16/(-10). Find x, given that -x + x + x**o - x = 0.
0, 1
Let h be 1/(26/12 + -2). Let 3*p - 9*p + 0*p**2 - 3*p**4 + 3 + 0*p**2 + h*p**3 = 0. Calculate p.
-1, 1
Let q be (-1)/(-1 - (-12)/15). Suppose -q*r + 42 = -2*r. Suppose -r*u**4 - 15*u**5 + 2*u**4 - 6*u**4 - 3*u**3 = 0. What is u?
-1, -1/5, 0
Suppose -2/17*h**2 + 2/17 + 0*h = 0. Calculate h.
-1, 1
Let a(f) be the second derivative of 5*f**4/4 - 65*f**3/6 + 10*f**2 + 22*f. Factor a(h).
5*(h - 4)*(3*h - 1)
Let x(p) be the second derivative of -3*p**5/140 + p**4/84 + p**3/21 - 11*p. Factor x(m).
-m*(m - 1)*(3*m + 2)/7
Let t(k) = 9*k**3 + 11*k**2 - 16*k + 4. Let l(j) = -80*j**3 - 100*j**2 + 145*j - 35. Let r(g) = 4*l(g) + 35*t(g). Find i, given that r(i) = 0.
-4, 0, 1
Let w(q) be the first derivative of -1 + 1/6*q**4 + 1/3*q**2 + 4/9*q**3 + 0*q. Factor w(c).
2*c*(c + 1)**2/3
Let z(b) be the first derivative of 1/12*b**3 + 1/4*b - 2 + 1/4*b**2. Factor z(l).
(l + 1)**2/4
Let w(s) = -s**2. Let z(f) = f**3 + f. Let m(u) = -2*w(u) + z(u). Factor m(g).
g*(g + 1)**2
Let -162*i**4 + 38*i**2 - 9*i**2 - 120*i**5 - 2*i**2 - 21*i**3 + 6*i = 0. What is i?
-1, -1/2, -1/4, 0, 2/5
Let i(p) = p**2 + 2*p. Let h(g) = 4*g - 2. Let k be h(2). Let b(v) = 3*v**2 + 5*v. Let l(o) = k*b(o) - 15*i(o). Let l(t) = 0. Calculate t.
0
Let l(r) be the third derivative of 1/120*r**6 - 5*r**2 + 0*r**3 - 1/24*r**4 + 0 + 1/105*r**7 - 1/30*r**5 + 0*r. Factor l(w).
w*(w - 1)*(w + 1)*(2*w + 1)
Let x(p) be the second derivative of 3*p**4/4 - p**3/2 - 3*p**2 - 13*p. Determine l, given that x(l) = 0.
-2/3, 1
Suppose -10250*b = -10256*b. Let p = -3/11 - -23/44. Find m such that m**4 + b + p*m + m**2 + 1/4*m**5 + 3/2*m**3 = 0.
-1, 0
Let r(k) be the third derivative of -k**5/15 + k**4/6 + 4*k**3/3 + 7*k**2. Factor r(c).
-4*(c - 2)*(c + 1)
Suppose -5*n + 3*n = -8. Let a(z) = -z**2 + 3*z + 5. Let s be a(n). Find v such that -3 + 4 - 2*v**2 + s = 0.
-1, 1
Let w(o) be the second derivative of -o**5 - 4*o**4 - 6*o**3 - 4*o**2 - 3*o. Factor w(h).
-4*(h + 1)**2*(5*h + 2)
Let f(d) = -3*d**2 + 12*d - 18. Let m(o) = -o**2 + 6*o - 9. Let r(w) = -4*f(w) + 9*m(w). Factor r(a).
3*(a - 1)*(a + 3)
Let l(b) = b**3 - 5*b**2 - 6. Let j(c) = -c**2 - 1. Let d = 0 - 6. Let i(w) = d*j(w) + l(w). Suppose i(m) = 0. Calculate m.
-1, 0
Let g = 25 + -42. Let h = -17 - g. Let h + 0*l + l**4 + 1/2*l**3 + 1/2*l**5 + 0*l**2 = 0. What is l?
-1, 0
Suppose 4*i - 1 - 31 = 4*m, 4*i - 3*m = 31. Let r = i - -3. Factor r*t**3 - 2 - t**2 - 8*t - 2*t**3 + 3*t**2.
2*(t - 1)*(t + 1)*(4*t + 1)
Suppose -j = -2*i + 6, -5*j + i + i + 2 = 0. Let o be 3/(((-4)/j)/(-2)). Factor c**2 + o - 4*c + c**2 - c**2 + 1.
(c - 2)**2
Suppose -12 = p + 5*g + 3, -2*p - 4*g = 12. Suppose p = -6*v + v. What is n in v - 4/5*n - 6/5*n**2 + 2*n**3 = 0?
-2/5, 0, 1
Suppose -9*i + 34 - 16 = 0. Factor -4/5*r**3 - 2/5*r**i + 4/5*r + 2/5.
-2*(r - 1)*(r + 1)*(2*r + 1)/5
Let v(f) = -12*f**3 + 12*f**2 + 6*f - 18. Let z(g) = -g**4 - g**3 - g - 1. Let o(t) = v(t) - 2*z(t). Solve o(q) = 0.
-1, 2
Let o(q) be the third derivative of -q**8/1008 - q**7/105 - q**6/60 + q**5/9 + 13*q**4/24 + q**3 + 2*q**2. Let o(n) = 0. Calculate n.
-3, -1, 2
Let l(f) = f**3 + 3*f**2 - 4*f + 2. Let d be l(-4). Factor -m**4 - m**2 - 5*m**2 + 7*m**d.
-m**2*(m - 1)*(m + 1)
Let n = -6514/9 + 724. Suppose 2/9*f**4 + 2/9*f**3 + 4/9 - 2/3*f**2 - n*f = 0. What is f?
-2, -1, 1
Let d(x) be the second derivative of x**6/165 - x**5/22 - x**4/66 + 5*x**3/33 + 5*x. Factor d(s).
2*s*(s - 5)*(s - 1)*(s + 1)/11
Let v(p) = p**3 + 6*p**2 - 8*p + 7. Let d be v(-7). Suppose -2 = -4*c + d. Factor -1/2*h + 0 - 2*h**c + 7/2*h**3 - h**2.
-h*(h - 1)**2*(4*h + 1)/2
Let d be (-9 - (-208)/40) + 1 + 4. Determine p so that 0*p + 2/5*p**2 + d*p**4 + 8/5*p**3 + 0 = 0.
-1, -1/3, 0
Let -2/7*l**5 + 10/7*l - 4/7*l**2 - 4/7 + 8/7*l**4 - 8/7*l**3 = 0. Calculate l.
-1, 1, 2
Let u(z) be the third derivative of z**5/100 + z**4/8 + 2*z**3/5 - 6*z**2. Determine l, given that u(l) = 0.
-4, -1
Let w = -1 + 4. Let o(n) = -13*n + 0 + 0 - 5*n**2 - 2 + n**3 + w*n. Let j(m) = -2*m**3 + 5*m**2 + 11*m + 1. Let u(r) = -2*j(r) - 3*o(r). Factor u(c).
(c + 1)*(c + 2)**2
Let p(q) = 7*q**3 - 5*q**2 - 6*q. Let b be (-96)/(-15) - (-4)/(-10). Let m(c) = c**3 - c**2 - c. Let s(a) = b*m(a) - p(a). Let s(t) = 0. What is t?
-1, 0
Let h(n) be the second derivative of 0 + 1/100*n**5 - 4*n - 1/60*n**4 + 1/10*n**2 - 1/30*n**3. Solve h(w) = 0.
-1, 1
Let k(o) be the second derivative of o**6/360 - o**5/30 + o**4/6 - 4*o**3/9 - o**2 - o. Let y(f) be the first derivative of k(f). Factor y(l).
(l - 2)**3/3
Let q(z) be the third derivative of -z**2 + 0*z - 1/15*z**5 + 0 + 0*z**3 + 0*z**4 - 1/60*z**6. Factor q(l).
-2*l**2*(l + 2)
Suppose -2*r + 5*r = 3*a - 3, 0 = -a + 5*r + 17. Let o = 5 + a. Factor p**2 + 2*p - p - o*p.
p*(p - 1)
Let y be ((-3)/(-6))/((-2)/4). Let k = y + 5. Let 0 + 1/3*n**3 + 0*n**2 - 1/3*n**k + 0*n = 0. What is n?
0, 1
Let y(z) be the second derivative of 3*z**5/80 - 3*z**4/16 + z**3/4 + 7*z. Factor y(x).
3*x*(x - 2)*(x - 1)/4
Suppose -4/3*m**2 - 6*m + 10/3 = 0. What is m?
-5, 1/2
Let p(x) be the first derivative of x**6/60 - 2*x**5/25 + 3*x**4/40 + 21. Let p(c) = 0. Calculate c.
0, 1, 3
Let g(t) be the third derivative of t**7/175 - t**6/30 + 3*t**5/50 - t**4/30 - 5*t**2. Solve g(b) = 0.
0, 1/3, 1, 2
Let f(a) be the first derivative of -1/5*a**2 + 2/5*a + 1/10*a**4 + 2 - 2/15*a**3. Factor f(q).
2*(q - 1)**2*(q + 1)/5
Let p be 6 + -2 + -1 - 1. Let k(i) be the first derivative of -1/7*i**p - 1 + 1/14*i**4 - 4/7*i + 4/21*i**3. Solve k(q) = 0 for q.
-2, -1, 1
Suppose 6*i + 12*i = 8*i. Factor 0 + i*x**2 - 2/7*x + 2/7*x**3.
2*x*(x - 1)*(x + 1)/7
Let h(f) be the first derivative of -f**6/180 + f**5/90 - 3*f**2/2 + 2. Let z(g) be the second derivative of h(g). Factor z(w).
-2*w**2*(w - 1)/3
Let u(w) be the first derivative of -2 - 2/5*w + 3/5*w**2 - 2/5*w**3 + 1/10*w**4. Let u(f) = 0. What is f?
1
Let n(s) be the third derivative of -s**9/52920 + s**7/4410 - s**5/420 + 5*s**4/12 - 4*s**2. Let b(j) be the second derivative of n(j). Factor b(w).
-2*(w - 1)**2*(w + 1)**2/7
Let x(n) be the second derivative of -n**4/10 + 2*n**3/15 + n**2/5 - 38*n. Suppose x(v) = 0. Calculate v.
-1/3, 1
Let g(c) = -c + 11. Let p be g(9). Solve l**2 - 55 + 55 - p*l + l**3 = 0.
-2, 0, 1
Let m(a) be the first derivative of 3/4*a**2 + 0*a**3 + 0*a - 3 - 3/8*a**4. Determine t, given that m(t) = 0.
-1, 0, 1
Factor 0 + 3*n**3 + 3/4*n**4 + 15/4*n**2 + 3/2*n.
3*n*(n + 1)**2*(n + 2)/4
Let s(p) be the second derivative of 3*p**5/160 + 7*p**4/48 + 17*p**3/48 + 3*p**2/8 - 18*p. Solve s(v) = 0 for v.
-3, -1, -2/3
Let m(t) = -t**3 - t**2 + t + 1. Let v be (-5)/2 + (-3)/(-6). Let c be m(v). What is x in 6/7*x**c + 2/7*x - 10/7*x**2 + 2/7 = 0?
-1/3, 1
Factor 8/7*h**2 + 0 - 4/7*h**3 + 12/7*h.
-4*h*(h - 3)*(h + 1)/7
Let x(p) be the second derivative of -2*p + 0*p**3 + 1/36*p**4 + 0 + 0*p**2. Factor x(u).
u**2/3
Determine k so that -20*k**2 + 13*k**5 + 5*k**4 - 4*k**5 - 4*k**5 + 40*k - 30*k**3 = 0.
-2, 0, 1, 2
Let m(l) be the second derivative of 0*l**2 + 0*l**3 + 1/14*l**7 + 1/4*l**5 + 1/12*l**4 + 0 + 4*l + 7/30*l**6. Factor m(s).
s**2*(s + 1)**2*(3*s + 1)
Let j(k) = 2*k + 12. Let i be j(-9). Let x(z) = 6*z**3 - 8*z**2 + 3*z - 1. Let l(d) = -6*d**3 + 8*d**2 - 4*d + 2. Let v(s) = i*x(s) - 5*l(s). Factor v(w).
-2*(w - 1)**2*(3*w + 2)
Let c = -96 + 866/9. Factor 0*y**2 + 0 + c*y - 2/9*y**3.
-2*y*(y - 1)*(y + 1)/9
Suppose 2*h = 5*h. Let p be h/8 - (1 + -1). Let 8/7*y**2 + p + 2/7*y = 0. What is y?
-1/4, 0
Let j(d) = d**4 - 5*d**3 - 11*d**2 + 5. Let i be 3/(-2)*2 + 1. Let n(p) = -p**4 + 2*p**3 + 5*p**2 - 2. Let b(z) = i*j(z) - 5*n(z). Determine l so that b(l) = 0.
-1, 0, 1
Let l be (-110)/132 + (-2)/(-2). Determine x so that x + l + 3/2*x**2 = 0.
-1/3
Suppose 3*r + 3*k = -r - 27, 0 = 3*r - 2*k - 1. Let h(m) = -m**2 - m - 1. Let a(t) = -2*t**2 - 1. Let l(g) = r*h(g) + a(g). Factor l(x).
(x + 1)*(x + 2)
Let 0*i**3 + 0*i + 2/3*i**2 + 0 - 2/3*i**4 = 0. What is i?
-1, 0, 1
Let k