 + 96/7*r - 36/7.
4*(r - 3)**2*(2*r - 1)/7
Let v be (4/(-3))/((-6)/27). Let q be (2/v)/((-10)/(-90)). Let -4*r + 2*r**2 + q*r**2 + 27 - 2*r**2 + 22*r = 0. What is r?
-3
Let t(q) be the first derivative of 2*q**3 + 3*q**2/2 - 3*q - 10. Factor t(d).
3*(d + 1)*(2*d - 1)
Let s = -2 - -2. Suppose 4*f + s*f + 4*f**2 - 4*f = 0. Calculate f.
0
Let r(p) = -8*p**3 + 19*p**2 - 5*p. Let o(k) be the second derivative of -k**5/5 + 3*k**4/4 - k**3/2 + 2*k. Let n(v) = -5*o(v) + 3*r(v). Factor n(t).
-4*t**2*(t - 3)
Let l(w) be the second derivative of 2*w**7/105 - 4*w**6/75 + 2*w**4/15 - 2*w**3/15 - 17*w. Factor l(s).
4*s*(s - 1)**3*(s + 1)/5
Let z(m) = -2*m**2 - 12*m - 8. Let r(s) = 10*s**2 + 61*s + 40. Let h(q) = -4*r(q) - 22*z(q). Factor h(k).
4*(k + 1)*(k + 4)
Let s(a) = a**5 + a**4 - a**2 - a. Let x(l) = l**5 + 5*l**4 + 16*l**3 - 13*l**2 - 17*l + 8. Let t(m) = -5*s(m) + x(m). Solve t(p) = 0 for p.
-2, -1, 1
Let h(q) be the third derivative of q**6/60 + 2*q**5/15 + q**4/12 - 2*q**3 + 3*q**2. Factor h(s).
2*(s - 1)*(s + 2)*(s + 3)
Let d(t) be the second derivative of t**4/20 + 2*t**3/5 - 3*t. Find w such that d(w) = 0.
-4, 0
Let a(m) = -36*m**2. Let t(r) = -5*r**2. Let u(s) = -5*a(s) + 35*t(s). Find k, given that u(k) = 0.
0
Let d(h) be the first derivative of 3*h**4/4 + 3*h**3 + 3*h**2 - 1. Factor d(i).
3*i*(i + 1)*(i + 2)
Let a(v) be the first derivative of 25*v**4/18 + 10*v**3/27 - 16*v**2/9 + 8*v/9 - 4. Factor a(c).
2*(c + 1)*(5*c - 2)**2/9
Let f(k) be the second derivative of k**8/560 + k**7/70 + k**6/24 + k**5/20 - k**3 + 2*k. Let n(j) be the second derivative of f(j). Factor n(l).
3*l*(l + 1)**2*(l + 2)
Factor -9*j**5 + 7 + j - 1 + 42*j**4 + 72*j**2 - 78*j**3 + 0*j - 34*j.
-3*(j - 1)**4*(3*j - 2)
Let s(u) be the second derivative of u**6/90 - u**4/12 - u**3/9 - 3*u. Factor s(x).
x*(x - 2)*(x + 1)**2/3
Let u = 3673/385 - 104/11. Let s(p) be the second derivative of 0*p**2 + 0 + 1/21*p**3 - 2*p - u*p**6 + 3/14*p**5 - 1/6*p**4. Solve s(k) = 0.
0, 1/3, 1
Let f be ((-4)/6)/((-2)/6). Solve -8 + 0*n**2 - 6*n**f - 2*n**3 - 3*n + 15*n + 3*n**3 = 0.
2
Factor -2*z**3 - 1/3*z**4 + 8/3*z**2 - 7/3 + 2*z.
-(z - 1)**2*(z + 1)*(z + 7)/3
Let p = -9 - -14. Let r be ((-6)/p)/((-99)/30). Solve 0 + 0*m**3 + 2/11*m - 4/11*m**4 + r*m**2 - 2/11*m**5 = 0.
-1, 0, 1
Let s be (0 - 0)/(1 - 2). Let z(c) be the third derivative of 0*c + 2*c**2 - 1/3*c**3 + s - 1/24*c**4 + 1/60*c**5. Factor z(g).
(g - 2)*(g + 1)
Let u = 1 - -1. Let c be -1 - ((-65)/52)/((-6)/(-8)). Let -c*q**u - 7/3*q**3 + 7/3*q + 2/3 = 0. What is q?
-1, -2/7, 1
Let g(t) be the second derivative of 1/5*t**2 + 3*t + 1/100*t**5 + 0*t**4 - 1/10*t**3 + 0. Let g(k) = 0. Calculate k.
-2, 1
Let d be (-15)/18 - (2 + -3). Let g(c) be the first derivative of -2 + 0*c - 1/2*c**4 + 0*c**5 + d*c**6 + 1/2*c**2 + 0*c**3. Factor g(i).
i*(i - 1)**2*(i + 1)**2
Factor 0*r**2 + 8*r**2 + 3*r**3 + 5*r**3 - 4*r**3.
4*r**2*(r + 2)
Let j be 67/(-268)*0/(-1). Factor -2/9*q**2 + j*q + 0 + 2/9*q**3.
2*q**2*(q - 1)/9
Let r(k) = k - 10. Let c be r(10). Suppose c*f + 3 = f. What is n in -3/2*n**4 + n**2 + 1/2*n**5 + 1/2 - 3/2*n + n**f = 0?
-1, 1
Factor -1/2*p + 1/4*p**2 + 1/4.
(p - 1)**2/4
Let r(k) be the second derivative of -k**6/120 - k**5/80 + k**4/48 + k**3/24 - 4*k. Suppose r(g) = 0. What is g?
-1, 0, 1
Suppose i - 3*i = -i. Factor i*r + 0 + 24/7*r**3 - 16/7*r**2 + 2/7*r**5 - 12/7*r**4.
2*r**2*(r - 2)**3/7
Let f(x) = -3*x**5 - 9*x**4 + 12*x**3 + 15*x**2 + 15*x - 15. Let c(q) = -q**4 + q**3 + q**2 + q - 1. Let g(k) = -15*c(k) + f(k). Factor g(a).
-3*a**3*(a - 1)**2
Let f(p) be the first derivative of -p**5/15 - p**4/4 - p**3/3 - p**2/6 - 8. Factor f(m).
-m*(m + 1)**3/3
Let g(t) be the first derivative of -t**3/15 + t**2/2 - 4*t/5 - 1. Suppose g(j) = 0. Calculate j.
1, 4
Let b(d) be the second derivative of d**4/12 - d**3/3 - 3*d. Determine g, given that b(g) = 0.
0, 2
Suppose 3*r = -2*t + 39, 2*r - 19 = -2*t + 3*r. Suppose t*d**2 + 9*d**5 - 16 + 8*d**2 - 90*d**3 + 45*d**5 + 40*d = 0. What is d?
-1, 2/3
Let l be ((-5)/(-15))/(-3 + (-14)/(-4)). Find j such that 1/3*j - j**3 + 4/3*j**2 - l = 0.
-2/3, 1
Let j be 3/4 - (0 + 2 - 5). Let d(r) be the second derivative of -4*r - 9/14*r**7 - 99/20*r**5 + 29/10*r**6 + 0*r**2 - r**3 + j*r**4 + 0. Factor d(w).
-3*w*(w - 1)**3*(9*w - 2)
Suppose -5*o - 2*b - 3 = -26, 0 = o + 3*b - 15. Find k such that -4*k - 5 - o*k**2 + 1 + 8 - k**4 + 4*k**3 + 0*k**4 = 0.
-1, 1, 2
Suppose 0 = -4*q - 4*g + 8, -10 = -5*q - 0*q - 4*g. Solve -r - 2*r**q + 0 - 2 - 2 + 5 = 0.
-1, 1/2
Suppose -8 = -2*l, 0 = s + 2*l - 2 - 8. Factor -2*g**2 - 4*g - s - 4*g + 3*g.
-(g + 2)*(2*g + 1)
Factor 1 - 5 + 16*b**3 - b**2 + 8*b - 19*b**3.
-(b - 1)*(b + 2)*(3*b - 2)
Let z be (-6)/77*(-1)/2. Let s = 25/77 - z. Suppose 6/7*h**5 + s - 4/7*h**2 - 12/7*h**3 + 6/7*h + 2/7*h**4 = 0. What is h?
-1, -1/3, 1
Let x(b) be the second derivative of b**7/147 - b**6/15 + 19*b**5/70 - 25*b**4/42 + 16*b**3/21 - 4*b**2/7 + 3*b. Suppose x(v) = 0. Calculate v.
1, 2
Let s(f) be the second derivative of -7*f**6/45 - 2*f**5/5 + 25*f**4/18 - 2*f**3/3 + 35*f. Let s(a) = 0. Calculate a.
-3, 0, 2/7, 1
Let p(i) = -i - 5. Let o be p(0). Let y = o - -6. Factor 1 - m**2 - 12*m + 10*m + m**3 - y.
m*(m - 2)*(m + 1)
Let b(d) = 8*d**4 - 4*d**2 + 8*d + 4. Let n(a) = -a**4 - a**3 - a - 1. Let r(k) = -b(k) - 4*n(k). Factor r(g).
-4*g*(g - 1)**2*(g + 1)
Suppose -3*k = -5*k + 6. Let i(v) be the second derivative of 0*v**4 - v + 1/10*v**5 - 1/30*v**6 - 1/3*v**k + 0 + 1/2*v**2. Factor i(m).
-(m - 1)**3*(m + 1)
Suppose 0*x - 2*r + 1 = x, 2*x = r + 2. Let q be (-2 + 1)*-1 - x. What is i in 0*i - 2*i**2 + q*i**2 - 2*i + 4 = 0?
-2, 1
Let u be (-3)/6 + 15/6. Let s = -3569/9 + 397. Factor -s + 14/9*v - 10/9*v**u.
-2*(v - 1)*(5*v - 2)/9
Suppose -2*x + 4 = -5*p + 50, 0 = -2*x - 6. Suppose 3*w - p = -2. Factor -2/7*v**3 + 4/7*v**w - 2/7*v + 0.
-2*v*(v - 1)**2/7
Factor -8/19*z**4 - 2/19*z**5 + 0 + 0*z**2 + 0*z - 8/19*z**3.
-2*z**3*(z + 2)**2/19
Let q(r) be the second derivative of -r**10/21168 + r**9/7560 - r**8/11760 - 5*r**4/12 - 2*r. Let t(i) be the third derivative of q(i). Factor t(o).
-2*o**3*(o - 1)*(5*o - 2)/7
Let a(c) be the first derivative of -c**6/12 - c**5/10 + 3*c**4/4 + 7*c**3/3 + 11*c**2/4 + 3*c/2 - 1. Factor a(y).
-(y - 3)*(y + 1)**4/2
Let m(p) be the third derivative of p**6/2700 - p**4/180 - p**3/6 - 2*p**2. Let b(a) be the first derivative of m(a). Solve b(q) = 0 for q.
-1, 1
Let m(u) be the second derivative of u**7/5040 + u**6/1080 + u**3/6 - 4*u. Let x(i) be the second derivative of m(i). Factor x(f).
f**2*(f + 2)/6
Let o(n) = -76*n + 40*n + n**2 + 35*n. Let h(x) be the third derivative of x**5/30 - x**4/24 + x**2. Let a(i) = 3*h(i) - 5*o(i). Factor a(b).
b*(b + 2)
Find k such that 2/19*k**2 + 2/19*k - 4/19 = 0.
-2, 1
Let z be (-10)/24*30/(-50). Factor 1/2 + z*h**3 - 1/2*h**2 - 1/4*h.
(h - 2)*(h - 1)*(h + 1)/4
Suppose -n - 4*n + 25 = 0. Suppose -x + c - 2 = 0, 7*x - n = 2*x + 2*c. Factor -s - 2*s**3 + 0*s**3 + 3*s**x.
s*(s - 1)*(s + 1)
Factor 0*d - 2/5*d**3 + 4/5*d**5 + 0*d**2 + 0 + 2/5*d**4.
2*d**3*(d + 1)*(2*d - 1)/5
Let a(k) be the first derivative of k**6/18 - 2*k**5/5 + k**4 - 10*k**3/9 + k**2/2 + 18. Find h, given that a(h) = 0.
0, 1, 3
Let z(i) be the first derivative of -i**3 + 3*i**2 - 6. Factor z(w).
-3*w*(w - 2)
Let c(b) = b + 14. Let m be c(-12). Factor -2*i**2 - 2*i**2 + 4 + 2*i**2 + m*i.
-2*(i - 2)*(i + 1)
Suppose 2*b + 5*w - 23 = -1, 5*b = -3*w + 17. Let l(u) = 2*u**2 + u. Let v be l(b). Let -2/7*s**2 + 0 - 2/7*s**v + 2/7*s**4 + 2/7*s = 0. What is s?
-1, 0, 1
Let c = 12 + -7. Let b = -2 + c. Solve 2*d - 2 + 0*d**b - 2*d**3 + 0 + 2*d**2 = 0 for d.
-1, 1
Factor 32 - 10*i**2 - 32 + 0*i + 5*i + 10*i**4 - 5*i**5.
-5*i*(i - 1)**3*(i + 1)
Let i(v) = -v**3 - 9*v**2 - 13*v + 10. Let l be i(-7). Factor -2*u - 2/7 - 30/7*u**2 - 18/7*u**l.
-2*(u + 1)*(3*u + 1)**2/7
Let u(k) be the first derivative of -2*k**5/35 + 3*k**4/14 - 4*k**2/7 + 37. Solve u(j) = 0 for j.
-1, 0, 2
Let f(b) be the first derivative of 1/4*b**4 - 4 - b + 1/3*b**3 - 1/2*b**2. Solve f(k) = 0.
-1, 1
Let d be -26*((-78)/(-42) - 2). Factor 0 + 0*l - 40/7*l**4 - 4/7*l**2 - d*l**3.
-2*l**2*(4*l + 1)*(5*l + 2)/7
Let t = 3149 - 755759/240. Let k(h) be the third derivative of t*h**5 + 0*h - 2*h**2 + 0*h*