o**2 + 58/7*o = 0?
1, 7
Let n(i) be the third derivative of -1/60*i**4 + 0 + 4*i**2 + 0*i**3 + 1/150*i**5 + 0*i. Factor n(q).
2*q*(q - 1)/5
Let y(x) be the first derivative of -x**6/14 + 6*x**5/35 - 2*x**3/7 + 3*x**2/14 + 3. Factor y(h).
-3*h*(h - 1)**3*(h + 1)/7
Let c(v) be the second derivative of -v**7/273 + 4*v**6/195 - 3*v**5/130 - 2*v**4/39 + 4*v**3/39 + v - 14. Let c(t) = 0. Calculate t.
-1, 0, 1, 2
Let b(z) be the first derivative of 2 - 2/5*z**5 + 2/3*z**3 + 2*z**2 + 0*z - z**4. Let b(t) = 0. Calculate t.
-2, -1, 0, 1
Let j = 8/9 - -14/45. Solve 2/5 - 8/5*p**2 + j*p = 0 for p.
-1/4, 1
Let z(k) be the first derivative of -k**5 - 5*k**4 + 20*k**3 + 80*k**2 - 320*k - 1. Factor z(b).
-5*(b - 2)**2*(b + 4)**2
Factor 251 + 6*l**3 - 251 + 2*l**4.
2*l**3*(l + 3)
Let v(a) = -a**4 - a**3 + a - 1. Let j(k) = -9*k**4 + 36*k**3 + 5*k**2 - 36*k - 4. Let y(m) = j(m) - 4*v(m). Determine l so that y(l) = 0.
-1, 0, 1, 8
Let g(q) be the first derivative of 1/150*q**5 - 2/3*q**3 - 1/120*q**4 + 0*q + 3 - 1/600*q**6 + 0*q**2. Let c(j) be the third derivative of g(j). Factor c(s).
-(s - 1)*(3*s - 1)/5
Let h be 8/40*(-10)/(-3). Factor h*o**2 + 0*o + 0 + 2/3*o**4 - 4/3*o**3.
2*o**2*(o - 1)**2/3
Let g(w) = w**3 + 4*w**2 + w - 4. Let s be 6/9 - (-22)/(-6). Let o be g(s). Find h, given that 0*h**3 + 0*h**3 + h**4 + o*h**3 + h**2 = 0.
-1, 0
Let n be 94/8 - (-11)/44. Let g be (2*-2)/n*-12. Determine w so that 0 + 0*w**3 + 2/3*w**g - 2/3*w**2 + 0*w = 0.
-1, 0, 1
Let x(l) be the first derivative of 0*l**2 - 2 - 3/20*l**4 + 0*l + 0*l**3. Factor x(p).
-3*p**3/5
Let h = -12/37 - -158/259. Let -4/7*x - h*x**2 + 0 = 0. What is x?
-2, 0
Let v(m) be the third derivative of -1/6*m**4 + 2*m**2 + 1/40*m**6 - 1/30*m**5 + 1/672*m**8 + 1/84*m**7 + 0*m**3 + 0 + 0*m. Solve v(y) = 0.
-2, 0, 1
Let r = 313 + -1249/4. Let g = -1/18 + 29/36. Find t, given that -3/2 + g*t + r*t**2 = 0.
-2, 1
Let b(y) = -8*y**2 + 16*y - 12. Let j(i) = 9*i**2 - 16*i + 11. Let g(q) = -5*b(q) - 4*j(q). What is d in g(d) = 0?
2
Let p(a) = -a**5 + a**3. Let u(z) = 16*z**5 + 6*z**4 - 16*z**3 - 6*z**2. Let g(y) = 28*p(y) + 2*u(y). Factor g(s).
4*s**2*(s - 1)*(s + 1)*(s + 3)
Let w = -11518 + 81121/7. Let n = 71 - w. Let n*s**2 + 8/7 - 8/7*s = 0. What is s?
2
Let s be ((-2)/(-6) + -1)/(26/(-78)). Factor -10/3*t + s*t**3 - 8/3*t**2 + 4/3.
2*(t - 2)*(t + 1)*(3*t - 1)/3
Solve 0 - 80/9*m**2 + 4/3*m**3 + 50/9*m + 2/9*m**5 + 16/9*m**4 = 0 for m.
-5, 0, 1
Let g be 21538/29887 + (-2)/19. Factor -6/13*t**2 - 16/13*t - g.
-2*(t + 2)*(3*t + 2)/13
Let z(p) be the third derivative of p**6/540 - p**5/90 + p**4/54 - 20*p**2. Determine f so that z(f) = 0.
0, 1, 2
Let m = 11 + -6. Suppose 4*h = -2*q - q, 0 = -m*q - 4*h. Factor 0 + 4/7*t**4 + q*t + 0*t**2 + 2/7*t**3 + 2/7*t**5.
2*t**3*(t + 1)**2/7
Let q(f) be the third derivative of -f**9/20160 - f**5/30 - 2*f**2. Let k(h) be the third derivative of q(h). Let k(t) = 0. What is t?
0
Find j, given that -2/7 - 12/7*j**2 - 2/7*j**4 + 8/7*j**3 + 8/7*j = 0.
1
Suppose -f + 140 = 4*f. Suppose -2*s = q - 13, -5*q + f = 2*s - 13. Find i, given that -6*i**2 + 4*i - 9*i**3 + 11*i**2 + q*i**2 - i - 6 = 0.
-2/3, 1
Let b = 2/687 - -209/6870. Let f(w) be the third derivative of 1/3*w**3 + 0 - 1/24*w**4 + 1/120*w**6 - b*w**5 + 0*w + 3*w**2. Determine x so that f(x) = 0.
-1, 1, 2
Let k(o) be the second derivative of o**7/14 + o**6/25 - 9*o**5/20 + o**4/5 + 2*o**3/5 - o. Solve k(s) = 0.
-2, -2/5, 0, 1
Let w = 23416/105 + -223. Let h(t) be the second derivative of 0*t**3 + w*t**7 + 0 + 0*t**4 - 1/50*t**5 + t + 0*t**6 + 0*t**2. Factor h(g).
2*g**3*(g - 1)*(g + 1)/5
Suppose 2 + 17 = -2*q + 5*h, 5*h = -2*q + 31. Factor 3/4 - 7/4*l + 5/4*l**2 - 1/4*l**q.
-(l - 3)*(l - 1)**2/4
Let p(z) = -z**2 - 8*z - 8. Let i be p(-6). Let g(j) be the second derivative of 0*j**3 + 1/21*j**i + j + 0 + 0*j**2 - 1/70*j**5. What is v in g(v) = 0?
0, 2
Let f(n) be the second derivative of 1/5*n**6 + 0 - 1/3*n**4 - 4*n + 0*n**2 + 0*n**3 + 1/10*n**5. Factor f(l).
2*l**2*(l + 1)*(3*l - 2)
Let m(i) be the first derivative of -4*i**5/5 - 5*i**4 - 32*i**3/3 - 8*i**2 - 2. Factor m(o).
-4*o*(o + 1)*(o + 2)**2
Let s(h) = -3*h**3 - 2*h**2 + 1. Let n be s(-1). Suppose -n*u = -7*u. Factor u - 4/3*a**3 + a**2 + 1/3*a.
-a*(a - 1)*(4*a + 1)/3
Let w(c) be the third derivative of c**6/600 - c**5/75 - c**4/40 + c**3 + 9*c**2. Let g(h) be the first derivative of w(h). Find k such that g(k) = 0.
-1/3, 3
Let z(t) be the second derivative of 3*t**5/140 - t**4/14 - 3*t**3/14 - 12*t. Factor z(a).
3*a*(a - 3)*(a + 1)/7
Let a be -1 + -1 + (-6 - 1). Let m = a + 11. Factor 0 - 1/6*z**m - 1/6*z.
-z*(z + 1)/6
Let c be (-48)/(-14) + 9/(-21). Let r(w) be the first derivative of 0*w + 1 + 0*w**2 + 2/15*w**5 + 0*w**4 - 2/9*w**c. Factor r(x).
2*x**2*(x - 1)*(x + 1)/3
Let q(a) = 8*a - 6. Let c(n) = -5*n**2 + 22*n - 5. Let x(s) = -4*s**2 + 21*s - 6. Let r(k) = 5*c(k) - 6*x(k). Let p(u) = 10*q(u) + 4*r(u). Factor p(z).
-4*(z - 2)**2
Let c(d) = 37*d**2 - 96*d + 23. Let i(x) = 19*x**2 - 48*x + 11. Let l(v) = -6*c(v) + 14*i(v). Factor l(a).
4*(a - 2)*(11*a - 2)
Suppose -175 = d + 4*d. Let s be 28/d*(-15)/14. Let 10/7*b - 4/7 + s*b**2 = 0. Calculate b.
-2, 1/3
Let a(o) be the second derivative of 7*o**4/48 + o**3/24 - 7*o. Factor a(k).
k*(7*k + 1)/4
Let f be -2 - -4*(-3)/(-2). Suppose 1 = 2*b + m, 8*b - f*m + 4 = 3*b. Factor -2/9*q + b - 2*q**3 - 8/9*q**4 - 4/3*q**2.
-2*q*(q + 1)**2*(4*q + 1)/9
Let p be ((-516)/104 + 5)*44. Suppose -20/13*m**2 + 24/13*m**4 - 4/13 - p*m + 22/13*m**3 = 0. What is m?
-1, -2/3, -1/4, 1
Let u(d) be the second derivative of d**7/6300 + d**6/900 + d**4/4 - d. Let x(p) be the third derivative of u(p). Suppose x(o) = 0. What is o?
-2, 0
Let v(i) be the third derivative of -i**5/480 + i**4/48 - 10*i**2. Factor v(x).
-x*(x - 4)/8
Suppose 2*q = -p - 2*q - 36, 2*q + 172 = -4*p. Let x be p/(-30) + 2/(-3). Suppose 2/5*u**5 - 6/5*u + 6/5*u**4 - 4/5*u**2 - 2/5 + x*u**3 = 0. Calculate u.
-1, 1
Factor -3 + 5 + 3*h**2 + 3*h**3 - 3*h - 2 - 3.
3*(h - 1)*(h + 1)**2
Let q = 8 - 0. Suppose 0 = -3*l - 3 + 6. Factor 13*d - l + 5*d - q*d**2 - 2 - 1.
-2*(d - 2)*(4*d - 1)
Let r(m) = 10*m**3 - m**2 - 2*m - 1. Let i be r(-1). Let k = i - -15. Factor 0*j + 3*j**2 - k*j**2 - 2*j.
-2*j*(j + 1)
Find m such that m**5 - 6*m - 2*m**4 + 2*m**2 + 5*m + 0*m**2 = 0.
-1, 0, 1
Let o(x) be the second derivative of 0 + 1/30*x**4 + 3*x + 1/100*x**5 + 0*x**3 + 0*x**2. Factor o(d).
d**2*(d + 2)/5
Let a(h) be the second derivative of 3/20*h**5 + 0*h**2 - 1/3*h**3 - 5*h + 1/12*h**4 + 0. Factor a(u).
u*(u + 1)*(3*u - 2)
Suppose -w = 5 - 1. Let u(c) = c**3 + 4*c**2 - 3*c - 6. Let m be u(w). What is b in -6*b**3 - 3*b + 2*b**2 + b + m*b**2 = 0?
0, 1/3, 1
Let f(w) be the third derivative of 0*w**3 + 1/210*w**7 + 1/120*w**6 + 0 - 1/24*w**4 - 1/60*w**5 + 0*w + w**2. Factor f(p).
p*(p - 1)*(p + 1)**2
Let q(p) be the second derivative of 0 + 0*p**2 - 1/18*p**4 + 3*p + 0*p**3. Factor q(x).
-2*x**2/3
Let k = -10 + 14. Let q be (k/6)/((-3)/(-9)). Factor -c**3 + c**2 - q*c**3 - 3*c**2 + c.
-c*(c + 1)*(3*c - 1)
Let z(h) = -h**3 + h**2 - 1. Let u = 6 + -7. Let k(p) = -12*p**3 - 28*p**2 - 4*p + 6. Let r(l) = u*k(l) - 6*z(l). What is g in r(g) = 0?
-1, -2/9, 0
Let b(z) be the first derivative of -3*z - 1/6*z**4 + 2 + 0*z**2 - 1/9*z**3. Let l(p) be the first derivative of b(p). Factor l(v).
-2*v*(3*v + 1)/3
Let o = 18 - 10. Suppose -j = j + 10, -w + j = -o. Factor -18/11*k**4 + 0*k**2 + 0*k + 14/11*k**5 + 4/11*k**w + 0.
2*k**3*(k - 1)*(7*k - 2)/11
Let c(d) be the second derivative of d**5/5 - d**4 + 8*d**2 + 6*d. Factor c(k).
4*(k - 2)**2*(k + 1)
Suppose 0 = 5*a - 4*p - 12, 0*p = -a + 3*p - 2. Solve -40/11*v**3 + 0*v - 8/11*v**5 + 0 - 34/11*v**a - 8/11*v**2 = 0 for v.
-2, -1/4, 0
Let h(r) be the third derivative of -r**6/660 - r**5/330 - 8*r**2. Determine y so that h(y) = 0.
-1, 0
Let p be (-2)/(-12) - (-22)/12. Suppose -5*c = 2*l - 24, 0 = -p*c - 2*c + 16. Factor -u**2 - 8*u**l + 8*u**2.
-u**2
Let x(z) be the second derivative of z**5/70 + z**4/42 - 4*z**3/21 - 4*z**2/7 + 3*z. Suppose x(p) = 0. What is p?
-2, -1, 2
Determine y, given that 1/4*y**3 + 1/4*y + 0 + 1/2*y**2 = 0.
-1, 0
What is a in 1 + 12*a + 11 - 6*a**2 + 9*a**2 = 0?
-2
Let r(u) be the first derivative of 2*u + 1/30*u**6 + 0*u**2 + 