*o - x = 0. What is c?
0
Let t(z) be the second derivative of 0 - 3*z - 4/21*z**3 + 1/35*z**5 - 1/14*z**4 + 1/105*z**6 + 4/7*z**2. Factor t(v).
2*(v - 1)**2*(v + 2)**2/7
Suppose 0*q + q = 0. Let c(n) be the second derivative of 1/24*n**4 + 0*n**2 + 1/40*n**6 + 1/16*n**5 + q*n**3 + 0 + 2*n. Let c(a) = 0. What is a?
-1, -2/3, 0
Let w be (39/(-182)*2)/((-4)/63). Factor 7/4*j**4 - j - 1 - 13/2*j**3 + w*j**2.
(j - 2)*(j - 1)**2*(7*j + 2)/4
Factor -a**2 - 15*a - 2*a**2 + 20 + a**2 - 3*a**2.
-5*(a - 1)*(a + 4)
Suppose -4*h + 4*d + 16 = 0, 0 = h + d - 0*d. Let -3 + u**4 + 0 + 6*u**2 - 2*u**4 - h*u**4 = 0. Calculate u.
-1, 1
Let d(x) be the first derivative of 5*x**4/2 + 26*x**3/3 + 4*x**2 - 8*x - 11. Factor d(v).
2*(v + 1)*(v + 2)*(5*v - 2)
Let m(y) be the first derivative of -y**3 - 2*y + 5/2*y**2 - 2 + 1/5*y**5 - 1/4*y**4. Suppose m(j) = 0. What is j?
-2, 1
Let c(u) be the second derivative of -u**4/60 + u**3/30 + u**2/5 - 10*u. Suppose c(x) = 0. Calculate x.
-1, 2
Let b(u) = -u**2 - 13*u + 6. Let v be b(-13). Find t, given that -t**3 + v*t + 4*t**4 + 0*t**4 - 3 - 5*t**3 - t**4 = 0.
-1, 1
What is r in 1/4*r**2 - 1/2 + 1/4*r = 0?
-2, 1
Let k(d) be the second derivative of d**5/100 + d**4/20 + d**3/10 + d**2/10 + 2*d. Find n, given that k(n) = 0.
-1
Suppose 25 = -o + 6*o. Let f(p) be the third derivative of -5/24*p**6 + 0 - 2/3*p**3 + 0*p - 1/12*p**o + 2/3*p**4 + 2*p**2. Solve f(n) = 0.
-1, 2/5
Let t(l) = 52*l**4 - 165*l**2 + 143*l - 30. Let x(u) = -35*u**4 + 110*u**2 - 95*u + 20. Let n(g) = 5*t(g) + 8*x(g). Let n(c) = 0. Calculate c.
-2, 1/2, 1
Let c(t) = 2*t**3 - 34*t**2 + 98*t - 66. Let k(f) = f**3 - 33*f**2 + 99*f - 67. Let p(g) = 3*c(g) - 2*k(g). Solve p(i) = 0 for i.
1, 4
Let d(t) = t. Let o be d(2). Factor c**4 + 0*c**3 - 8*c**3 + 2 + c**4 - 8*c + 12*c**o.
2*(c - 1)**4
Let t(s) be the first derivative of -s**6/3 - 8*s**5/5 - 2*s**4 + 4*s**3/3 + 5*s**2 + 4*s + 4. What is y in t(y) = 0?
-2, -1, 1
Suppose -9*w = -10*w. Let l(o) be the third derivative of 0 + w*o - 1/6*o**3 - 2*o**2 - 3/20*o**5 - 1/4*o**4. Solve l(m) = 0.
-1/3
Let q = 59/9 - 587/90. Let k(c) be the third derivative of 0 + 0*c + 0*c**3 + 2*c**2 - q*c**5 - 1/12*c**4. Factor k(w).
-2*w*(w + 1)
Suppose -3*v = 4*p, -2*v + 3*v = 3*p + 13. Suppose 5*a = 3*k - 26, -a = 4*k + 2*a + v. Solve 2*i**3 - i - 18*i**3 - 7*i**4 - i - 11*i**k = 0.
-1, -2/7, 0
Let o(w) = w**2 - 5*w + 3. Let l be o(5). Let y = -3 + 5. Factor -2*q**3 - y*q - q**l + 4*q - q**2.
-q*(q + 1)*(3*q - 2)
Let w(t) be the first derivative of t**4/20 + 14*t**3/15 + 6*t**2 + 72*t/5 - 56. Suppose w(z) = 0. Calculate z.
-6, -2
Let j(i) be the third derivative of 0 + 7*i**2 - 1/2*i**3 + 0*i - 1/20*i**5 + 1/4*i**4. Suppose j(h) = 0. Calculate h.
1
Let t(p) = -4*p**3 + 5*p**2 + 4*p. Suppose -f = -3*f - 10. Let j = -5 - -7. Let o(b) = -2*b**3 + 2*b**2 + 2*b. Let g(l) = f*o(l) + j*t(l). Factor g(r).
2*r*(r - 1)*(r + 1)
Let u(o) be the third derivative of o**5/60 + o**4/24 - 8*o**2. Factor u(a).
a*(a + 1)
Suppose 6*m - 6 = 4*m. Suppose -5*u**2 - u**2 - 2*u**2 - 2*u**m - 8*u = 0. Calculate u.
-2, 0
What is h in -4/3*h**3 - 8/3*h**2 - 4/3*h + 0 = 0?
-1, 0
Let s(g) be the first derivative of -1/3*g**3 - 2*g - 3/2*g**2 + 2. Factor s(x).
-(x + 1)*(x + 2)
Let i(n) be the second derivative of n**5/90 + n**4/36 - 2*n**2 + 4*n. Let k(h) be the first derivative of i(h). Factor k(p).
2*p*(p + 1)/3
Factor -1/3*i**3 - 2/3*i**2 + 0*i + 8/3*i**4 + 0 - 5/3*i**5.
-i**2*(i - 1)**2*(5*i + 2)/3
Factor 0*b - 4/7*b**5 + 0*b**2 + 8/7*b**3 + 4/7*b**4 + 0.
-4*b**3*(b - 2)*(b + 1)/7
What is d in 18/11*d + 4/11 + 14/11*d**2 = 0?
-1, -2/7
Let s(y) be the first derivative of -y**4/2 + 8*y**3/3 - 5*y**2 + 4*y + 4. Determine o so that s(o) = 0.
1, 2
Suppose 0 = 5*k - 3 - 7. Let n = 6 + -4. Factor k + 3*u**n - u**2 - 4*u + 0*u**2.
2*(u - 1)**2
Let k be (-21)/77 - 42/(-33). Factor -k + 2*w**3 - 1/2*w**5 - 3/2*w + 0*w**4 + w**2.
-(w - 2)*(w - 1)*(w + 1)**3/2
Let f(x) be the third derivative of -1/10*x**6 + 0*x + 0 + 1/70*x**7 - 3*x**2 + 1/2*x**3 + 3/10*x**5 - 1/2*x**4. Factor f(g).
3*(g - 1)**4
Let z(n) = 15*n + 13*n**2 - 4*n + 6*n + 9*n**3. Let x(h) = -8*h**3 + 12*h**3 - 4*h - 4*h**2 + h**2 - 6*h**3. Let w(q) = 26*x(q) + 6*z(q). Factor w(v).
2*v*(v - 1)*(v + 1)
Suppose 2*z**2 - 2/9 + 2/3*z - 6*z**3 = 0. What is z?
-1/3, 1/3
Factor -13*u**3 + 5*u**4 + 16*u + 4*u - 2*u**3.
5*u*(u - 2)**2*(u + 1)
Let d be -2 + -1 + -10 + 15. Find n, given that 1/3*n - 1/3*n**d - 1/3*n**3 + 1/3*n**4 + 0 = 0.
-1, 0, 1
Suppose -6*q = 10*q + 3*q. Determine d so that 1/4*d**3 + q - 1/4*d**2 - 1/2*d = 0.
-1, 0, 2
Suppose 5*r = -4*r + 18. Suppose 0*z**r + 0*z + 0 - 1/4*z**3 = 0. Calculate z.
0
Let z = 1330 - 1330. Factor 0*g**4 - 2/7*g + z*g**2 - 2/7*g**5 + 0 + 4/7*g**3.
-2*g*(g - 1)**2*(g + 1)**2/7
Let d(a) be the first derivative of -1/25*a**5 + 1/10*a**4 + 0*a - 1/15*a**3 - 8 + 0*a**2. Find h such that d(h) = 0.
0, 1
Suppose -2*f = 8 - 16. Let l(d) be the third derivative of 0*d + 0 + d**2 + 1/360*d**5 + 0*d**f + 0*d**3. Factor l(c).
c**2/6
Suppose -1/4*r**2 - 1/4*r + 0 = 0. What is r?
-1, 0
Let x(p) = p**2 - 3*p - 1. Let m(c) = -c**2 + 3*c + 2. Let f(t) = 3*m(t) + 2*x(t). Let k be f(3). Find s, given that -s**4 + s**3 + k*s**2 - 3*s**2 - s**2 = 0.
0, 1
Let y(s) = 15*s**2 + 13*s + 13. Let x(c) = -7*c**2 - 6*c - 6. Let r(a) = -13*x(a) - 6*y(a). Factor r(w).
w**2
Factor 2*x + 2/3*x**3 + 2*x**2 + 2/3.
2*(x + 1)**3/3
Factor 1/4 + 1/2*g - 1/4*g**4 - 1/2*g**3 + 0*g**2.
-(g - 1)*(g + 1)**3/4
Let c be ((-1)/(21/6))/(1/(-7)). Let j = 0 + 4. Factor 4*s**4 - 2*s - 4*s**3 - 5*s**c - 2*s**j - 3*s**4 + 0*s**4.
-s*(s + 1)**2*(s + 2)
Let u(t) = -t**2 - 3. Let c(m) = 0 + 2*m**2 - 3 - 4*m**2 - 2. Let d(f) = 6*c(f) - 10*u(f). Suppose d(y) = 0. What is y?
0
Suppose 4*p - 5*p + 3*a + 2 = 0, 5*p - 3*a = 10. Let l(u) be the second derivative of 0 - 1/2*u**5 - 2*u + 2*u**4 - 3*u**3 + 2*u**p. Factor l(o).
-2*(o - 1)**2*(5*o - 2)
Suppose -a + 15 = 2*a. Suppose -4*b + 2*h + h + 27 = 0, 0 = -a*b - 3*h. Let -6 + b + 1 + 0*q**3 + 2*q**2 + 2*q - 2*q**3 = 0. What is q?
-1, 1
Suppose 2*v + 1 - 3 = -a, 3*a + 3*v = 15. Suppose l + 3 - a = 0. Determine u, given that -7*u**3 + l*u**3 + 0*u**3 + 2*u**2 + 2*u**5 - 2*u**4 = 0.
-1, 0, 1
Let n(z) be the first derivative of -2*z**3/15 + 3*z**2/5 + 8*z/5 + 2. Factor n(h).
-2*(h - 4)*(h + 1)/5
Let v(i) = 2*i**2 + 65*i - 28. Let j be v(-33). Suppose 1/2*w**j - 1/2*w**3 + 0*w + 1/2*w**2 - 1/2*w**4 + 0 = 0. Calculate w.
-1, 0, 1
Let a(g) = 4*g**4 - g**3 + 6*g**2 + 3. Let f(b) = 3*b**4 - 2*b**3 + 5*b**2 + 2. Let t(j) = -2*a(j) + 3*f(j). Factor t(w).
w**2*(w - 3)*(w - 1)
Solve 0 + 3/4*r**3 + 0*r**2 + 0*r - 3/2*r**4 + 3/4*r**5 = 0 for r.
0, 1
Let p be (9/(-15))/(72/(-160)). Solve p*o**2 + 2/3 + 2*o = 0 for o.
-1, -1/2
Let o be 9/11*-1 - -1. Let n be (4/(-11))/((-4 - -2) + 0). Factor o - 2/11*w**3 - n*w**2 + 2/11*w.
-2*(w - 1)*(w + 1)**2/11
Let j be (-20)/130 + (-119)/(-13). Determine r, given that -4*r + 6 + 1 - r**2 - 2 - j = 0.
-2
Let z(d) be the second derivative of -1/210*d**5 + d**2 - 2*d + 0*d**4 + 1/21*d**3 + 0. Let c(g) be the first derivative of z(g). Factor c(y).
-2*(y - 1)*(y + 1)/7
Let h = 29 - 26. Let t(w) be the first derivative of 0*w - 3/16*w**4 + 3 - 1/4*w**h + 0*w**2. Factor t(q).
-3*q**2*(q + 1)/4
Factor 2*n**4 + 0*n**4 - 4*n**3 + 6*n**5 + 23 - 23.
2*n**3*(n + 1)*(3*n - 2)
Let y(t) be the first derivative of -t**7/70 + t**6/20 - t**4/4 + t**3/2 - t**2 + 2. Let c(q) be the second derivative of y(q). Factor c(s).
-3*(s - 1)**3*(s + 1)
Let n(t) be the third derivative of -t**7/70 - 3*t**6/40 - 18*t**2. Let n(f) = 0. Calculate f.
-3, 0
Let t = 24 - 24. Suppose o - 4*o = t. Factor 1/4*x - 1/4*x**2 + o.
-x*(x - 1)/4
Let h(v) = -2*v + 16 + 14*v + 3*v + 8*v**2 + 26*v. Let f(c) = -c**2 - 5*c - 2. Let y(k) = -51*f(k) - 6*h(k). Factor y(g).
3*(g + 1)*(g + 2)
Let w be ((-3)/6)/((-3)/72). Let l be (-2)/w*(-6 + 2). Factor -2/3*k**2 + 2/3*k**4 - 2/3*k**5 + 0*k + 0 + l*k**3.
-2*k**2*(k - 1)**2*(k + 1)/3
Let u = 14 + -15. Let w be -5 + 8 - (2 - u). Factor 2/5*n**2 + w*n + 0.
2*n**2/5
Let y(m) = -m**3 - 4*m**2 + 4*m - 4. Let r be y(-5). Let h be 2/(-5)*r/(-2). Find n, given that -h*n**2 - 3/5*n - 2/5 = 0.
-2, -1
Let x(v) be the second derivative of -5*v**4/72 - 5*v**3/12 - 5*v**2/6 + 25*