*(-13)/(-26). Factor -2/3*d**j - 2/3*d**2 + 0 + 0*d.
-2*d**2*(d + 1)/3
Let u be 3 + 74/(3 + -1). Suppose -2*t + 14 = -i, -t = 3*t - 5*i - u. Factor 2*s**t - 3*s**4 + 7*s**4 + 2*s**4 + 4*s**3 - 2*s - 4*s**2 - 2 - 4*s.
2*(s - 1)*(s + 1)**4
Let x(l) = l**2 - 2*l - 1. Let s be x(3). Suppose 12*q - q**2 - q**s + 6*q**3 + 4 - 2*q**4 - 18*q = 0. What is q?
-1, 1, 2
Let i(r) be the first derivative of 2*r**6/27 - 14*r**5/45 + r**4/6 - 64. Factor i(f).
2*f**3*(f - 3)*(2*f - 1)/9
Suppose 0*r + 8 = 4*r. Factor 10*g**2 + 6*g - r*g - 4 - 4 + 12*g.
2*(g + 2)*(5*g - 2)
Let p(m) be the first derivative of m**6/60 + m**5/30 - m**4/12 - m**3/3 - m**2 + 2. Let r(b) be the second derivative of p(b). Factor r(g).
2*(g - 1)*(g + 1)**2
Suppose -g + 3*y + 18 = -0*g, 0 = -g + 5*y + 28. Factor -2*j**3 - 2*j**4 - j**2 + g*j**4 + 2*j + 0*j**3.
j*(j - 2)*(j - 1)*(j + 1)
Let r = 35025/7 + -4995. Determine x so that 66/7*x**4 + 2/7 + r*x**2 - 18/7*x - 18/7*x**5 - 92/7*x**3 = 0.
1/3, 1
Let t be 16/2 + -3 + -1. Find b, given that 2*b + 0*b**3 - 6*b**2 + t*b**3 + 2 - 2 = 0.
0, 1/2, 1
Let y(z) be the third derivative of -z**8/896 + z**7/280 + z**6/80 - z**5/20 - 12*z**2. Factor y(q).
-3*q**2*(q - 2)**2*(q + 2)/8
What is o in 6 - 5 - 90*o**2 + 10*o + 25*o + 100*o**3 - 40*o**4 - 6 = 0?
1/2, 1
Factor -4*a**2 + 107*a**3 + 3*a**2 - 4*a**4 - 103*a**3.
-a**2*(2*a - 1)**2
Suppose -3 = -5*b + 7. Suppose 4*m = 5*a - 20, 0 = -3*m - 0*a - 5*a + 20. Suppose 3 - 7*r**b + m + 5*r - 1 = 0. Calculate r.
-2/7, 1
Suppose 15 = 5*p - g, -15 = -5*p - 0*g + 5*g. Let u(o) be the first derivative of 2/3*o**p + o - 2 + 3/2*o**2. Factor u(d).
(d + 1)*(2*d + 1)
Let y(o) be the second derivative of 0 - 1/30*o**6 + 0*o**3 + 2*o + 1/12*o**4 - 1/20*o**5 + 0*o**2 + 1/42*o**7. Factor y(d).
d**2*(d - 1)**2*(d + 1)
Let k be 2 + 2/(-7) + (-20)/(-70). Determine g, given that -1/2*g**k + 1/2*g + 1 = 0.
-1, 2
Let p = 36 - 33. Let o(f) be the second derivative of 0 + 2/3*f**p - 1/6*f**4 + 2*f + 0*f**2. What is x in o(x) = 0?
0, 2
Let v(k) be the third derivative of -k**7/840 + k**6/288 - k**5/360 - 4*k**2. Find a such that v(a) = 0.
0, 2/3, 1
Let r(a) be the second derivative of -a**4/18 + 4*a**3/9 - a**2 - 15*a. Find c such that r(c) = 0.
1, 3
Factor -80*r + 160*r**2 + 42*r**5 - 18*r**5 + 18*r**5 + 360*r**3 + 200*r**4 - 7*r**5.
5*r*(r + 2)**3*(7*r - 2)
Let x(f) be the second derivative of 2*f**7/21 + f**6/5 - f**5/2 - 13*f**4/6 - 3*f**3 - 2*f**2 - 29*f. Find k such that x(k) = 0.
-1, -1/2, 2
Let d(f) be the first derivative of -f**5 - 5*f**4/2 - 5*f**3/3 + 27. Determine x so that d(x) = 0.
-1, 0
Let w be 4/(-44) + (-228)/(-572). Suppose 2/13*m**5 + w*m**3 - 2/13 - 6/13*m - 4/13*m**2 + 6/13*m**4 = 0. Calculate m.
-1, 1
Let q(l) = -2*l + 14. Suppose -3*m = d - 13, 4*d = -m + d - 9. Let o be q(m). Factor 2/7*g**4 + 2/7*g**5 - 2/7*g**o - 2/7*g**3 + 0*g + 0.
2*g**2*(g - 1)*(g + 1)**2/7
Let 16/5*k + 24/5*k**2 + 4/5*k**4 - 32/5 - 4*k**3 = 0. Calculate k.
-1, 2
Let v(r) be the second derivative of 1/30*r**4 + r + 0*r**3 + 0*r**2 + 0. Factor v(i).
2*i**2/5
Let w be (-6 - -8)/(1/3). Let j(r) be the second derivative of -2*r + 0 + 0*r**3 + 1/120*r**w + 0*r**2 + 1/48*r**4 - 1/40*r**5. Let j(k) = 0. Calculate k.
0, 1
Let c(r) = r**4 - 2*r**3 + 21*r**2 - 16*r + 4. Let v(q) = -6*q**4 + 9*q**3 - 105*q**2 + 81*q - 21. Let z(p) = -21*c(p) - 4*v(p). Let z(k) = 0. What is k?
-4, 0, 1
Let d(c) = -c**2 + 7*c. Let g be d(7). Let h(b) be the second derivative of -19/20*b**5 + 7/30*b**6 - 1/6*b**3 + 5/4*b**4 + g - b - b**2. Factor h(y).
(y - 1)**3*(7*y + 2)
Factor 0*f**3 + 3*f**3 + f**3 - f**3.
3*f**3
Find q such that -1/5*q**2 + 0 + 1/5*q = 0.
0, 1
Let a = -8 - -15. Let x be 4/22 - a/(-22). Factor 0*c - x*c**2 - 1/2*c**3 + 0.
-c**2*(c + 1)/2
Let q be 1*((-1 - -1) + 2). Let f(d) = d + 12. Let v be f(-8). Factor -v*o**3 + 1 + o**4 - 4*o**2 + 2*o**4 + 2*o**3 + q*o**5.
(o - 1)*(o + 1)**3*(2*o - 1)
Let d(l) be the first derivative of -2/25*l**5 - 3 + 0*l**2 + 0*l - 1/10*l**4 + 0*l**3. Find h, given that d(h) = 0.
-1, 0
Let w(y) = -3*y - 8. Let t be w(-6). Suppose 3*m**4 + t*m**4 - 9*m**4 - 4*m + 4*m**3 - 4*m**2 = 0. Calculate m.
-1, 0, 1
Let z(j) be the third derivative of j**5/60 - j**4/6 - 5*j**3/6 + 4*j**2. Let n(y) = 2*y**2 - 7*y - 9. Let k(b) = -6*n(b) + 11*z(b). Factor k(o).
-(o + 1)**2
Let l(j) = j**4 - 35*j**3 + 59*j**2 - 29*j + 4. Let f(p) = -3*p**4 + 70*p**3 - 117*p**2 + 57*p - 7. Let u(m) = 4*f(m) + 7*l(m). What is d in u(d) = 0?
0, 1, 5
Factor 49/4*r**3 + 119/4*r**2 - 20*r + 3.
(r + 3)*(7*r - 2)**2/4
Let y(q) = q**3 + 2*q**2 - 5*q - 2. Let n be y(-3). Factor -2*x**n - 2*x**4 - 3*x**3 + 2*x**5 + x**3 + 2*x**4 + 2*x**2.
2*x**2*(x - 1)**2*(x + 1)
Let l(c) be the second derivative of -c**7/8820 - c**6/630 - c**5/105 - 2*c**4/3 + 8*c. Let t(y) be the third derivative of l(y). Factor t(a).
-2*(a + 2)**2/7
Let o(y) = -y**3 + y**2 - y - 1. Let r(u) = 3*u**3 - 9*u**2 + 9*u + 9. Let z(b) = 6*o(b) + r(b). Factor z(q).
-3*(q - 1)*(q + 1)**2
Let h(s) be the third derivative of -s**7/840 + s**6/480 + s**5/120 - 3*s**2. Factor h(v).
-v**2*(v - 2)*(v + 1)/4
Let s(b) be the third derivative of -b**8/50400 + b**6/1800 + b**5/20 + 5*b**2. Let a(l) be the third derivative of s(l). Find f such that a(f) = 0.
-1, 1
Let c be 0 + 9/(-15) + 1. Factor -2/5 + 2/5*a**2 - c*a**3 + 2/5*a.
-2*(a - 1)**2*(a + 1)/5
Let v(w) = 3*w**2 - 3*w + 6. Let m(l) = -3*l**2 + 2*l - 7. Let p(o) = 3*m(o) + 4*v(o). Solve p(g) = 0 for g.
1
Factor s - s**3 + 1/2 + 0*s**2 - 1/2*s**4.
-(s - 1)*(s + 1)**3/2
Let z(y) = -y - 4. Let u be z(-5). Let j be u + (-1)/(2/(-30)). What is p in 3*p**3 - 4 + 13*p**2 - 5*p**2 + j*p**2 + 11*p**3 + 6*p = 0?
-1, 2/7
Find a, given that 15/2 + 10*a**2 - 65/4*a - 5/4*a**3 = 0.
1, 6
Let j = -39 + 41. Let h(g) be the third derivative of 0*g + 1/75*g**5 + 0 - 1/60*g**4 - 1/300*g**6 + 0*g**3 + 2*g**j. Factor h(l).
-2*l*(l - 1)**2/5
Solve -4*s**2 - 4/9*s**4 - 20/9*s**3 - 8/9 - 28/9*s = 0.
-2, -1
Let d(y) be the first derivative of y**4/4 + y**3/3 - y**2 + 4. Let d(p) = 0. Calculate p.
-2, 0, 1
Factor -25/8*g - 9/8*g**2 + 3/4.
-(g + 3)*(9*g - 2)/8
Suppose -4*m + 28 = -4. Suppose m = n + 4. Factor -2*j**4 - 5*j**3 + j + n*j**3 - 4*j**2 + 6*j**3.
-j*(j - 1)**2*(2*j - 1)
Suppose 14 = 5*s - 0*s + i, -5*s + 18 = -3*i. Let f(v) be the first derivative of 0*v - 1/6*v**s - 1 - 1/10*v**5 + 0*v**2 - 1/4*v**4. Let f(m) = 0. Calculate m.
-1, 0
Let a(c) be the second derivative of 0*c**2 + 0 - 2*c - 1/6*c**4 + 1/3*c**3. Factor a(m).
-2*m*(m - 1)
Factor -5 + 1/2*j**2 + 3/2*j.
(j - 2)*(j + 5)/2
Let k be ((-12)/(-10))/((-15)/(-50)). Let p(u) be the first derivative of -1/14*u**k + 2 + 1/7*u**2 + 2/7*u - 2/21*u**3. Factor p(j).
-2*(j - 1)*(j + 1)**2/7
Let m(u) = 47*u**3 + 113*u**2 + 78*u + 19. Let w(c) = 16*c**3 + 38*c**2 + 26*c + 6. Let h(a) = 2*m(a) - 7*w(a). Suppose h(n) = 0. What is n?
-1, -2/9
Let t = 33 + -29. Let r(g) be the third derivative of 0 + 0*g + 1/300*g**6 - 3*g**2 - 1/60*g**t + 0*g**3 + 0*g**5. Suppose r(j) = 0. Calculate j.
-1, 0, 1
Suppose l - 5 + 3 = 0. What is n in -3/2*n**l - 9/2*n - 3 = 0?
-2, -1
Let h(d) be the first derivative of 2 + 0*d**3 + 0*d**2 + 1/10*d**5 - 1/6*d**4 + 2*d. Let g(j) be the first derivative of h(j). Suppose g(n) = 0. Calculate n.
0, 1
Let t(k) be the first derivative of -k**3 - 1/2*k**2 + 0*k - 1/5*k**5 - 3/4*k**4 + 3. Let t(c) = 0. What is c?
-1, 0
Let z be (-8)/6*-12 + (-1 - 0). Let i(r) be the first derivative of -4*r + z*r**2 + 29/2*r**4 + 1 - 18/5*r**5 - 22*r**3. Factor i(s).
-2*(s - 1)**3*(9*s - 2)
What is q in 2*q**3 + 2*q**2 + 8*q - 15*q + 3*q = 0?
-2, 0, 1
Let l(v) = v - 1. Let k be l(6). Suppose 0 = d + 1, -6*r + 5*d + k = -r. Factor 1/2*z - 1/2*z**3 + 0*z**2 + r.
-z*(z - 1)*(z + 1)/2
Suppose 0 = -7*h + 6 + 15. Let b(d) be the first derivative of -2 + 32/7*d**4 + 32/21*d**h - 4/7*d**2 - 2/7*d. Suppose b(l) = 0. What is l?
-1/4, 1/4
Determine b so that -8*b - 2/5*b**2 - 40 = 0.
-10
Suppose i = 5*z - 18, 14 = -i - z + 5*z. What is g in -2*g**2 - 12 - 2*g + 10 - i*g = 0?
-1
Let j(q) = 3*q**4 + 2*q**3 - q**2 - 2*q. Let p(a) = 13*a**4 + 9*a**3 - 3*a**2 - 8*a. Let d(z) = 9*j(z) - 2*p(z). Factor d(n).
n*(n - 2)*(n + 1)**2
Let k(o) = -o**3 + 4*o**2 + 2*o - 3. Let c(r) = r**2 - 3*r - 6. Let a be c(5). Let q be k(a). Factor -2*