ose 46 - 6 = 10*c. Let i(a) be the third derivative of 0*a + 1/120*a**5 + 2*a**2 + 1/72*a**c + 0 + 0*a**3 + 1/720*a**6. Factor i(g).
g*(g + 1)*(g + 2)/6
Let n(k) = -k**3 - k**2 - k. Let v(a) = 245*a**5 + 105*a**4 - 123*a**3 + 17*a**2 - 3*a. Let x(i) = -3*n(i) + v(i). Determine f, given that x(f) = 0.
-1, 0, 2/7
Let k(r) be the first derivative of -r**7/280 + r**6/40 - r**5/20 + r**3/3 - 3. Let a(d) be the third derivative of k(d). Factor a(q).
-3*q*(q - 2)*(q - 1)
Let p be 4/12*(1 - 0). Let d(j) be the second derivative of 0 + j - p*j**4 + 5/3*j**3 - 2*j**2. Suppose d(u) = 0. Calculate u.
1/2, 2
Let y = -309 + 937/3. Factor y*n**2 - 6 + 2*n + 2/3*n**3.
2*(n - 1)*(n + 3)**2/3
Factor -5/7*i**3 + 3/7*i**2 + 0 + 1/7*i**4 + 9/7*i.
i*(i - 3)**2*(i + 1)/7
Let w(i) = -i**2 - 9*i - 10. Let j be w(-5). What is a in a**2 - j*a + 3*a**3 - 2*a**3 + 8*a = 0?
-2, 0, 1
Let i(y) = y**5 - y**4 - 3*y**3 - 3*y**2 + 3*y. Let h(j) = 2*j**5 - 2*j**4 - 10*j**3 - 10*j**2 + 10*j. Let r(o) = -3*h(o) + 10*i(o). Factor r(b).
4*b**4*(b - 1)
Let w(a) be the first derivative of a**5/180 + a**4/36 + a**3/18 + a**2/2 - 1. Let d(l) be the second derivative of w(l). Factor d(n).
(n + 1)**2/3
Factor -15*i**3 - 1 + 6*i - 12*i + 24*i**2 - 5 + 3*i.
-3*(i - 1)**2*(5*i + 2)
Let q(o) = 7*o**2 - 2. Let u(v) = 7*v**2 + v - 3. Let t = 0 + 2. Suppose -9 = s + t*s. Let a(b) = s*q(b) + 2*u(b). Factor a(g).
-g*(7*g - 2)
Let l(c) = 22*c**5 + 24*c**4 - 4*c**3 - 4*c**2 + 2*c + 2. Let h(a) = -a**5 + a**4 - a**2 + a + 1. Let z(x) = 2*h(x) - l(x). Let z(q) = 0. What is q?
-1, -1/4, 0, 1/3
Let q(v) be the first derivative of 2/39*v**3 + 0*v**2 - 2 + 0*v. Determine m so that q(m) = 0.
0
Let s(j) = j. Let r(l) = -l**2 - 8*l + 3. Let x(d) = -r(d) - 6*s(d). Factor x(u).
(u - 1)*(u + 3)
Let p be 3/3 + 5/(-7). Let c(q) = q**3 - 7*q**2 + 7*q - 4. Let r be c(6). Factor 2/7*u**r - p + 0*u.
2*(u - 1)*(u + 1)/7
Let m be 6/2 + 3/(-3). Solve m*n**4 + n**2 + 0*n**2 + n**2 - 4*n**3 = 0.
0, 1
Suppose -5*f = 6 - 21. Suppose 2*y = -f*a + 5, 2*a - 35 = -3*a + 2*y. Suppose -5*k + a*k - 2 + 4*k - 5*k + k**2 = 0. Calculate k.
-1, 2
Suppose 0 = 4*x - 5*b, -4*b + 11 = -x - 0*x. Factor 3 + 14*d**2 + x - 4*d + 36*d.
2*(d + 2)*(7*d + 2)
Suppose b = -2*j, 0*j = -3*b + 4*j + 20. Let m(q) be the first derivative of 1/11*q**2 + 0*q + 2 - 1/22*q**b + 2/33*q**3 - 2/55*q**5. Factor m(t).
-2*t*(t - 1)*(t + 1)**2/11
Factor -20/3*j - 5/3*j**3 - 1/6*j**4 - 11/2*j**2 - 8/3.
-(j + 1)**2*(j + 4)**2/6
Let z(f) = -4*f**3 - 2*f**2 - 17*f + 2. Let o(v) = 3*v**3 + 3*v**2 + 15*v - 3. Let y(k) = 7*o(k) + 6*z(k). Let y(j) = 0. Calculate j.
-1, 1, 3
Find h, given that -24*h + 36*h**3 + 12*h**2 + 12*h**4 - 7*h**2 + 9 - 14*h**2 = 0.
-3, -1, 1/2
Let l(c) be the third derivative of 0 - 1/108*c**4 - 1/1512*c**8 + 0*c**3 - 3*c**2 - 1/90*c**6 + 2/135*c**5 + 4/945*c**7 + 0*c. Factor l(q).
-2*q*(q - 1)**4/9
Suppose -1 = 5*i - 16. Suppose 0 = w + 3*w + 5*l + 17, -i*w + l + 11 = 0. Find n, given that 2 - 4*n**2 - 3*n**2 + w*n**4 + 2*n**2 + n**2 = 0.
-1, 1
Let u be ((-2)/6)/(1/(-9)). Let v(x) be the second derivative of 0*x**5 - 2/3*x**4 + 0*x**u + 0 + 3*x + 0*x**2 + 1/5*x**6 - 1/21*x**7. Factor v(f).
-2*f**2*(f - 2)**2*(f + 1)
Let z = 427/12 - 106/3. Find l such that -1/2*l**2 + z*l**3 + 0 + 1/4*l = 0.
0, 1
Let d be 4/14 + 60/35. Let m be (d/5 - 0) + 0. What is p in 0 + m*p**5 - 2/5*p**3 + 0*p + 2/5*p**4 - 2/5*p**2 = 0?
-1, 0, 1
What is x in 0*x**2 - 4*x**4 - 2 + 44*x + 6*x**2 + 2*x**3 - 46*x = 0?
-1, -1/2, 1
Determine a so that 6/13*a**2 + 6/13*a + 2/13 + 2/13*a**3 = 0.
-1
Let l = -8/7 + 10/7. Let l*o + 2/7*o**2 + 0 = 0. Calculate o.
-1, 0
Factor -4/5*p - 2/5*p**2 - 2/5.
-2*(p + 1)**2/5
Let d be (7 - 3 - 41) + -2. Let r be 2/(-13) - 136/d. Factor r*x - 4/3 - 2*x**2.
-2*(x - 1)*(3*x - 2)/3
Let x(y) be the first derivative of 3 + 0*y**3 - 1/2*y**6 + 0*y + 0*y**2 + 0*y**5 + 3/4*y**4. Determine k, given that x(k) = 0.
-1, 0, 1
Factor -2 - 28*i - 33*i**3 - 135*i**3 - 6*i**4 - 66*i**4 - 122*i**2.
-2*(i + 1)**2*(6*i + 1)**2
Let w(i) be the first derivative of i**6/36 + i**5/3 + i**4 - 5*i**3/9 - 25*i**2/12 + 60. Factor w(f).
f*(f - 1)*(f + 1)*(f + 5)**2/6
Suppose 3*z = 4*z. Let h(k) be the first derivative of z*k**2 + 1/12*k**3 + 1/20*k**5 + 1/8*k**4 + 0*k + 1. Factor h(v).
v**2*(v + 1)**2/4
Let v(c) be the third derivative of c**7/2520 - c**6/360 + c**5/120 + 5*c**4/24 + 8*c**2. Let d(j) be the second derivative of v(j). Factor d(q).
(q - 1)**2
Let z(a) = a**3 + 4*a**2 + a - 3. Let j be z(-3). Find v, given that 0 - 2/5*v - 12/5*v**2 - 18/5*v**j = 0.
-1/3, 0
Let m be 2/3 + (-1)/(-3). Let s be (4 + 0)*m - 2. Factor 0*f**4 - f**s + 4*f**4 - 3*f**4 - f**3 + f.
f*(f - 1)**2*(f + 1)
Let h be (-20)/(-30) - 6/9. Let q(r) be the first derivative of 2 + 2/27*r**3 + 0*r**2 + 0*r**4 - 2/45*r**5 + h*r. Solve q(m) = 0.
-1, 0, 1
Let f(i) be the second derivative of i**6/120 - i**5/60 - i**4/24 + i**3/6 - 3*i**2/2 - i. Let b(j) be the first derivative of f(j). Factor b(y).
(y - 1)**2*(y + 1)
Suppose -4*w - 2*l + 10 = 0, -w = w - l - 7. Let z(i) be the second derivative of -3/10*i**5 + i + 4/3*i**w - 5/6*i**4 + 4*i**2 + 0. Factor z(p).
-2*(p - 1)*(p + 2)*(3*p + 2)
Factor 3/4 + 1/4*z - 1/4*z**3 - 3/4*z**2.
-(z - 1)*(z + 1)*(z + 3)/4
Factor y**2 - 20*y - 1 + 20*y.
(y - 1)*(y + 1)
Let q(m) = -m + 5 + 5 - 6 + 7. Let p be q(9). Determine i so that 1/2*i - 1/4*i**p + 1/4 - 1/2*i**3 = 0.
-1, -1/2, 1
Let r(q) be the first derivative of -3*q**2 - 1/2*q**4 - 5 - 2*q**3 - 2*q. Factor r(a).
-2*(a + 1)**3
Let p(x) = x**5 - x**4 - x**3 - x**2 + x - 1. Let n(u) = 4*u**5 - 2*u**4 - 10*u**3 - 6*u**2 + 8*u + 2. Let v(z) = -2*n(z) + 4*p(z). Find s, given that v(s) = 0.
-1, 1, 2
Let l(y) = 5*y + 1. Let u be l(-2). Let o be (39/u - -4)/(-1). Find r, given that -2/3*r + o*r**2 + 1/3 = 0.
1
Let q(v) = 15*v**2 + 3*v + 19. Let f(x) = 7*x**2 + 2*x + 10. Let y(p) = -13*f(p) + 6*q(p). Factor y(z).
-(z + 4)**2
Let k be 1/(-3) - (-64)/24. Let -8/3*q**2 - k*q + 2/3*q**4 - 2/3*q**3 - 2/3 + 1/3*q**5 = 0. Calculate q.
-1, 2
Suppose 0 = 5*c - 0*c - 10. Suppose 0 = -c*a + 3*a - 3. Determine g, given that -4*g**2 - g**5 + 2*g**3 + 0*g**3 - 4*g**4 - 8*g**a - g = 0.
-1, 0
Let f(u) be the second derivative of -1/6*u**2 + 0 - 2*u - 1/36*u**3 + 1/72*u**4. Factor f(o).
(o - 2)*(o + 1)/6
Suppose 11 + 17 = 2*g. Let l = g + -14. Factor -4/9*f + l + 2/9*f**2 + 2/9*f**3.
2*f*(f - 1)*(f + 2)/9
Let u(f) be the first derivative of 1/2*f**2 + 3 + 0*f - 2/3*f**3 - 3/4*f**4. Find p, given that u(p) = 0.
-1, 0, 1/3
Let k(l) be the third derivative of l**10/604800 - l**8/26880 - l**7/10080 + l**5/20 + l**2. Let z(j) be the third derivative of k(j). Factor z(v).
v*(v - 2)*(v + 1)**2/4
Let d(a) = -16*a**4 + 56*a**3 - 16*a**2 - 12*a + 4. Let s(o) = 15*o**4 - 57*o**3 + 16*o**2 + 11*o - 5. Let y(c) = -5*d(c) - 4*s(c). Find t such that y(t) = 0.
-2/5, 0, 1, 2
Factor 4/9*x + 0 + 26/9*x**2.
2*x*(13*x + 2)/9
Let y = -43 - -43. Let w(n) be the third derivative of -1/15*n**4 + y - 3*n**2 - 1/150*n**5 - 4/15*n**3 + 0*n. Determine c so that w(c) = 0.
-2
Let n(o) be the third derivative of o**6/960 + o**5/120 + 5*o**4/192 + o**3/24 + 10*o**2. Factor n(q).
(q + 1)**2*(q + 2)/8
Let u(m) be the third derivative of 1/735*m**7 + 1/210*m**6 + 0*m**4 - 6*m**2 + 0 + 0*m + 0*m**3 + 1/210*m**5. Find c, given that u(c) = 0.
-1, 0
Let m = -34 - -24. Let x = -5 - m. Let -25*f**4 - 2 - 17*f**4 + 12*f**2 + 20*f**3 - 7*f + 18*f**x + f = 0. What is f?
-1/3, 1
Let b = 8 + -6. Suppose -q = -5*s + 19, 5*s = -2*q - 2*q - 1. Factor -n**b - 3*n**3 + 2*n**s + 2*n + 0*n**2.
-n*(n - 1)*(n + 2)
Let j(x) be the first derivative of x**6/6 - 3*x**5/20 - x**4/16 + 1. Solve j(o) = 0.
-1/4, 0, 1
Let o(y) = -2*y. Let m be o(1). Let q be m/5 - (-48)/20. Find a, given that -a**q + a - a = 0.
0
Let b be (-265)/(-35) + (-8)/14. Determine z so that -8*z**4 - 16*z**2 + b*z**3 - 27*z**3 - 3*z - z = 0.
-1, -1/2, 0
Find m such that 49*m - 49*m + 5*m**3 - 20*m**4 = 0.
0, 1/4
Factor -1/2*h**2 + 0 + 0*h**3 + 1/2*h**4 + 0*h.
h**2*(h - 1)*(h + 1)/2
Suppose -4*z + 24 = 3*v + v, -2*v = -2*z + 4. Factor -7*a**3 + 21*a**4 - 21*a**v + 12 - 8*a + 64*a**3 + 56*a + 96*a**2 + 3*a**5.
3*(a + 1)**3*(a + 2)**2
Let y = -17 + 5. Let u be y/(-28)*(-4)/(-6). Factor -4/7*i**2 + 0 + 2/7*i**3 + u*i.
2*i*(i - 