)/9
Let h(g) = g**2 - 9*g - 2. Let r be h(8). Let p = -5 - r. Determine b, given that -1/5*b**p + 0 + 0*b + 0*b**2 + 1/5*b**4 + 0*b**3 = 0.
0, 1
Let g = -437/55 + 105/11. Find s such that -16/5 + 4/5*s**2 - g*s + 2/5*s**3 = 0.
-2, 2
Suppose 8*w - 20 = 4. Let b(q) be the second derivative of 1/4*q**4 - 1/20*q**5 + 0*q**w + 0 - q - 2*q**2. Solve b(s) = 0 for s.
-1, 2
Let u(h) be the second derivative of -h**7/105 - 2*h**6/75 - h**5/50 - 5*h. Factor u(m).
-2*m**3*(m + 1)**2/5
Let o(u) be the first derivative of -u**7/210 - u**6/30 - u**5/12 - u**4/12 - 3*u**2 - 3. Let l(h) be the second derivative of o(h). Factor l(f).
-f*(f + 1)**2*(f + 2)
Let i(s) be the first derivative of -s**6/10 + 11*s**5/25 - 3*s**4/4 + 3*s**3/5 - s**2/5 + 2. Factor i(b).
-b*(b - 1)**3*(3*b - 2)/5
Let x be 4/5*(2 - 5/(-10)). Let d(r) be the third derivative of 1/30*r**6 + 0*r - 1/6*r**4 + 0 - 1/3*r**3 + 0*r**5 + 1/105*r**7 - 2*r**x. Factor d(q).
2*(q - 1)*(q + 1)**3
Let y be ((-8)/(-10))/((-28)/(-10) + 0). Factor -y - 8/7*r**2 - 10/7*r.
-2*(r + 1)*(4*r + 1)/7
Let l(k) = k**3 - k**2 + k - 1. Let q(f) = f**3 + 4*f**2 - 10*f + 6. Let s(w) = -4*l(w) + 2*q(w). Factor s(n).
-2*(n - 2)**3
Let u(s) be the third derivative of -s**7/945 - s**6/270 + s**5/270 + s**4/54 - 2*s**2. Factor u(w).
-2*w*(w - 1)*(w + 1)*(w + 2)/9
Factor 6*x**2 - 25*x**2 - 10*x - 5*x**3 + 4*x**2.
-5*x*(x + 1)*(x + 2)
Let z(p) be the second derivative of 5*p**5/4 - 5*p**4/3 + 13*p**3/6 - 5*p. Let r(v) = -12*v**3 + 10*v**2 - 6*v. Let a(h) = 9*r(h) + 4*z(h). Factor a(q).
-2*q*(q - 1)*(4*q - 1)
Suppose 5*m + 179 - 4 = 0. Let h be (-1 - -3)*(-7)/m. What is c in -4/5*c + h*c**2 + 2/5 = 0?
1
Let f(o) be the second derivative of -1/3*o**3 + 0 + 1/15*o**6 + 0*o**2 - 1/6*o**4 - 2*o + 1/10*o**5. Suppose f(w) = 0. What is w?
-1, 0, 1
Let t(w) be the first derivative of w**7/1680 - w**5/80 - w**4/24 + 2*w**3/3 + 2. Let k(d) be the third derivative of t(d). Factor k(p).
(p - 2)*(p + 1)**2/2
Let r(p) = p**2 - 14*p + 13. Let h(y) = -y + 1. Let c(v) = 3*h(v) - r(v). Let f be c(10). What is q in -1 + f*q**2 - 4*q**3 - 4*q + 0*q - 6*q**2 - q**4 = 0?
-1
Let x(v) be the first derivative of 5*v**3/3 - 5*v**2 - 10*v - 5. Let f(r) = -r**2 + r + 1. Let n(p) = 6*f(p) + x(p). Solve n(t) = 0 for t.
-2
Let c be (-2)/4*(-4)/5. Let o be (-5 - (-414)/90) + 4/5. Factor c*v + o*v**2 + 0.
2*v*(v + 1)/5
Let t(f) be the first derivative of 1/20*f**5 + f - 1/12*f**4 - 2 - 1/6*f**3 + 0*f**2 + 1/30*f**6. Let s(i) be the first derivative of t(i). Factor s(o).
o*(o - 1)*(o + 1)**2
Let s = -46 - -60. Solve 8/7 - 48/7*k + 6*k**2 + s*k**3 = 0.
-1, 2/7
Factor 2/9*l**3 - 2/9*l**2 - 2/9*l + 2/9.
2*(l - 1)**2*(l + 1)/9
Solve 20*m**2 - 30*m**4 + 70*m**4 - 25*m**4 + 40*m**3 = 0.
-2, -2/3, 0
Let -1/4*l**3 - 4 - 2*l + 7/4*l**2 = 0. Calculate l.
-1, 4
Let l(q) be the first derivative of -1/15*q**3 + 4 + 1/5*q + 1/10*q**2 - 1/20*q**4. Factor l(y).
-(y - 1)*(y + 1)**2/5
Let c(h) be the third derivative of 2/27*h**3 + 0 - 1/108*h**4 + 3*h**2 + 0*h - 1/270*h**5. Let c(t) = 0. Calculate t.
-2, 1
Let x(u) be the second derivative of -u**5/20 - 2*u. Determine r, given that x(r) = 0.
0
What is r in 65*r**3 + 11*r**5 - 36*r**4 + 43*r**3 - 108*r**2 - 7*r**5 = 0?
0, 3
Let k(r) be the third derivative of 1/24*r**6 + 0 - 3*r**2 + 0*r + 7/60*r**5 + 1/12*r**4 + 0*r**3. Factor k(c).
c*(c + 1)*(5*c + 2)
Let d be ((-21)/(-14))/(2/4). Find y such that -2*y + 2*y - d*y**2 - y**4 - 2*y**3 + 4*y**4 + 2*y = 0.
-1, 0, 2/3, 1
Factor 29*r**4 + 19*r**4 - 3*r**4 - 30*r + 4 - 9 + 30*r**3 - 40*r**2.
5*(r - 1)*(r + 1)*(3*r + 1)**2
Let u(o) be the first derivative of -o**3/6 + 2*o + 3. Factor u(j).
-(j - 2)*(j + 2)/2
Let x(v) = -v**3 + 2*v**2 + 2*v + 7. Let i be x(3). Solve -2*n**3 + n + n**4 + n**3 + i*n**3 + 3*n**2 = 0.
-1, 0
Let m(b) be the first derivative of b**6/33 - 6*b**5/55 + b**4/11 - 7. Factor m(p).
2*p**3*(p - 2)*(p - 1)/11
Let k(w) = 5 - 4 - w**4 - w**3 + 0. Let v(s) = -4*s**4 - 13*s**3 + 24*s**2 - 32*s + 21. Let z(t) = -5*k(t) + v(t). Factor z(a).
(a - 2)**4
Let t(o) be the third derivative of -7/60*o**6 + 0 + 4/15*o**3 + 2/15*o**4 - 4*o**2 - 31/150*o**5 + 0*o. Determine b so that t(b) = 0.
-1, -2/7, 2/5
Let o(w) = 2*w + 3 - 4 - 5*w. Let g be o(-2). Suppose -p + g*p**2 - 4*p**2 + 2*p = 0. What is p?
-1, 0
Let q(i) = -11*i**2 + 11*i + 17. Let k(t) = -4*t**2 + 4*t + 6. Let o(h) = 17*k(h) - 6*q(h). Find z such that o(z) = 0.
0, 1
Let h be (-795)/(-10) - (-4)/8. Let l be (-96)/h*(-5)/3. Factor 2/5*t**3 + 4/5*t**l + 2/5*t + 0.
2*t*(t + 1)**2/5
Let t(b) = 41*b**2 - 40*b + 8. Let u(i) = 10*i**2 - 10*i + 2. Let j(h) = 4*t(h) - 18*u(h). Find q such that j(q) = 0.
1/4, 1
Let f(t) = t**4 - t**3 + t. Let z(w) = 5*w**4 - 4*w**3 + 4*w. Let d(h) = 4*f(h) - z(h). Find q such that d(q) = 0.
0
Let t(c) be the third derivative of c**6/1980 + c**5/660 + c**3/3 + c**2. Let b(l) be the first derivative of t(l). Find x, given that b(x) = 0.
-1, 0
Let d(v) be the first derivative of 9*v**4/16 + 2*v**3 + 21*v**2/8 + 3*v/2 + 6. Factor d(i).
3*(i + 1)**2*(3*i + 2)/4
Let i be ((-3)/(-9))/((-20)/(-15)). Let g(q) be the second derivative of 1/2*q**3 - i*q**4 + 0 + 3/80*q**5 + q + 0*q**2. Factor g(h).
3*h*(h - 2)**2/4
Let y = 1072 - 1069. Factor 0*s - 1/8*s**2 - 1/8*s**y + 0.
-s**2*(s + 1)/8
Let d(q) = 7*q**3 + 5*q**2 + 6*q. Let f(w) = -8*w**3 - 6*w**2 - 7*w. Let z(x) = -x**2 - 12*x - 14. Let u be z(-10). Let k(p) = u*f(p) + 7*d(p). Factor k(n).
n**2*(n - 1)
Let y(k) be the third derivative of -k**8/126 + k**7/63 + k**6/60 - k**5/18 + k**4/36 + 19*k**2. Suppose y(d) = 0. Calculate d.
-1, 0, 1/4, 1
Let i(t) be the first derivative of t**7/165 - 3*t**6/220 + t**5/165 - 3*t**2/2 + 2. Let n(o) be the second derivative of i(o). Factor n(l).
2*l**2*(l - 1)*(7*l - 2)/11
Let j(g) be the first derivative of -1/24*g**4 + 1 + 0*g + 1/60*g**5 + 0*g**2 + 1/3*g**3 - 1/360*g**6. Let h(k) be the third derivative of j(k). Factor h(i).
-(i - 1)**2
What is b in 3*b**3 - 2*b**3 - 3*b**3 - 4 - 65*b + 71*b = 0?
-2, 1
Find l such that 2/3*l + 0 + 2/3*l**2 = 0.
-1, 0
Let b(a) be the second derivative of 3/16*a**4 + 7/80*a**5 + 0*a**2 - 4*a + 1/12*a**3 + 0. Factor b(x).
x*(x + 1)*(7*x + 2)/4
Let w be 7 - (1 - 3 - -4). Suppose w*f + 5*t + 20 = 0, t = 3*f - 3 - 1. Suppose 1/3*k**2 - 2/3*k**3 + f*k + 0 + 1/3*k**4 = 0. Calculate k.
0, 1
Factor -9*i + 1 + 0*i**3 - 12*i + 2*i**3 + 19*i - i**4.
-(i - 1)**3*(i + 1)
Let c(i) = -i**5 - 3*i**4 + 5*i**3 + i**2 - 6*i + 6. Let x(f) = f**4 - f - 1. Let y(d) = c(d) + 2*x(d). Factor y(m).
-(m - 1)**3*(m + 2)**2
Let r = 13 - 11. Suppose 3*f = -2*g - 2*f + 25, -3*g + r*f - 10 = 0. Solve 0 + 2/7*z**3 - 2/7*z**5 + g*z**4 + 0*z + 0*z**2 = 0.
-1, 0, 1
Let g(n) be the second derivative of n**7/63 - n**6/135 - n. Let g(o) = 0. What is o?
0, 1/3
Let t be (-142)/(-10) + (-6)/30. Let w be (-4)/t - 4/(-14). Find b, given that 3*b + b - 2 + w*b**2 - 2*b**2 = 0.
1
Let s(n) = n**2 - 16*n + 17. Let v be s(15). Suppose -3*b = v*w - 10, -4*w = 4*b - 22 + 2. Solve 1/2*i**3 - 1/4*i**4 - 1/4*i**2 + b + 0*i = 0.
0, 1
Let i(t) = -t + 5. Let g be i(2). Factor -24*o - 15*o**2 - 5 + 0*o - 7 - 5*o**3 + 2*o**g.
-3*(o + 1)*(o + 2)**2
Let q(k) = -k**3 + 4*k**2 + 11*k + 8. Let c be q(6). Factor 0 + 0*o + 1/3*o**3 - 1/3*o**c.
o**2*(o - 1)/3
Factor 5*d**4 + 4 - 5*d**5 + 40*d**2 + 9*d**5 + 40*d**3 + 15*d**4 + 20*d.
4*(d + 1)**5
Let l(s) be the second derivative of -s**7/35 + 4*s**6/5 - 48*s**5/5 + 64*s**4 - 256*s**3 + 3072*s**2/5 - 9*s. Factor l(k).
-6*(k - 4)**5/5
Let l(w) be the second derivative of 0*w**3 - 2/75*w**6 - 1/105*w**7 + w - 1/50*w**5 + 0*w**4 + 0*w**2 + 0. Factor l(g).
-2*g**3*(g + 1)**2/5
Let b(i) be the first derivative of 0*i**2 - 1/3*i**6 + 1/2*i**4 - 3 - 2/5*i**5 + 2/3*i**3 + 0*i. Solve b(g) = 0 for g.
-1, 0, 1
Let p(z) = 2*z**2 + 2*z. Let w(a) = 2*a**2 + 2*a + 1. Let v(g) = 5*p(g) - 4*w(g). Factor v(i).
2*(i - 1)*(i + 2)
Let b(t) be the third derivative of -t**7/525 - t**6/100 - t**5/50 - t**4/60 + 11*t**2. Determine d, given that b(d) = 0.
-1, 0
Let c(b) be the second derivative of -1/42*b**7 - 1/6*b**3 - 2/15*b**6 + 3*b + 0 - 3/10*b**5 - 1/3*b**4 + 0*b**2. Factor c(j).
-j*(j + 1)**4
Let i(w) = w - 1. Let n be (4/(-6))/((-1)/(-3)). Let y(f) = f**2 - f + 2. Let p(u) = n*i(u) - y(u). Factor p(k).
-k*(k + 1)
Su