erivative of -25*j**7/14 + 65*j**6/24 - j**5/2 - 3*j**4/2 + 4*j**3/3 - 11*j**2. Factor p(c).
-(3*c + 1)*(5*c - 2)**3
Let b(n) be the first derivative of 0*n - 1 - 2/5*n**5 - n**2 + 1/2*n**4 + 2/3*n**3. Factor b(j).
-2*j*(j - 1)**2*(j + 1)
Let y(x) be the third derivative of x**7/1050 + x**6/600 - x**5/100 - x**4/120 + x**3/15 - x**2. What is l in y(l) = 0?
-2, -1, 1
Let 2/7*z**3 + 6/7*z**2 + 4/7*z + 0 = 0. What is z?
-2, -1, 0
Let w(f) be the third derivative of 1/4*f**4 + 0*f + 2/3*f**3 - 1/60*f**6 - 5*f**2 + 0*f**5 + 0. Factor w(p).
-2*(p - 2)*(p + 1)**2
Let g(d) be the second derivative of -d**4/48 - 5*d**3/48 + 3*d**2/16 - 20*d - 2. Factor g(q).
-(q + 3)*(2*q - 1)/8
Factor -k**2 + 4 + k**2 + 4*k**2 - 4*k - 12.
4*(k - 2)*(k + 1)
Let a(f) be the first derivative of f**5/30 - f**4/12 - 2*f**3/3 + f**2 - 3. Let r(p) be the second derivative of a(p). Solve r(y) = 0 for y.
-1, 2
Let s(q) = 3*q**3 - q**2 - 6*q - 4. Let c(m) = m**3 - m**2 - m - 1. Let t(r) = -4*c(r) + s(r). Suppose t(h) = 0. What is h?
0, 1, 2
Let t(w) = w**3 - w. Let l(g) = 5*g**3 + g**2 - 5*g - 1. Let q(h) = -2*l(h) + 6*t(h). Factor q(k).
-2*(k - 1)*(k + 1)*(2*k + 1)
Let l(g) = -g**3 - 7*g**2 + 17*g - 11. Let q be l(-9). Let h be (333/3*-1)/q. Factor -27/2*a**4 + 30*a - h*a**2 + 45*a**3 - 6.
-3*(a - 1)**2*(3*a - 2)**2/2
Let w be (-20)/3 - (-4)/6. Let l(n) = -36*n**3 + 117*n**2 - 99*n + 35. Let q(r) = 12*r**3 - 39*r**2 + 33*r - 12. Let m(a) = w*l(a) - 17*q(a). Factor m(y).
3*(y - 2)*(y - 1)*(4*y - 1)
Let o be (-1)/(-6) - 15/(-30). Find m, given that 5/3*m**4 + 3*m**2 - o*m - 4*m**3 + 0 = 0.
0, 2/5, 1
Let n = 19 + -13. Let m(r) be the first derivative of -2 + 1/3*r**n - r**2 + 0*r + 4/3*r**3 - 4/5*r**5 + 0*r**4. Factor m(o).
2*o*(o - 1)**3*(o + 1)
Let v be (248/217)/((-6)/(-7)). Determine z, given that v*z + 0 + 22/3*z**2 + 6*z**3 = 0.
-1, -2/9, 0
Let q(m) be the second derivative of m**7/315 + m**6/270 - m**5/270 + 3*m**2/2 + m. Let j(n) be the first derivative of q(n). Factor j(y).
2*y**2*(y + 1)*(3*y - 1)/9
Factor 2/3*k + 0 - 8/3*k**4 - 8/3*k**2 + 2/3*k**5 + 4*k**3.
2*k*(k - 1)**4/3
Let y(v) be the first derivative of v**4/34 - 4*v**2/17 - 5. Factor y(a).
2*a*(a - 2)*(a + 2)/17
Let i = -3 + 6. Let v(u) = u + 1. Let c be v(i). Solve 2*a**2 + 2*a - 5*a**4 - 2*a**3 - a**4 + 4*a**c = 0.
-1, 0, 1
Let t = 8 - 6. Suppose -b + 6 = -1. Factor -3*f**4 - 2*f**4 + b*f**4 + 6*f**t - 2*f - 6*f**3.
2*f*(f - 1)**3
Let t = -20 + 23. Let u(r) be the second derivative of 0 + 1/4*r**4 + 2*r**t - r - 1/4*r**5 + 2*r**2. Factor u(z).
-(z - 2)*(z + 1)*(5*z + 2)
Let f(h) be the second derivative of h**4/6 + h**3/3 + h**2 - h. Let n be f(-1). Find z such that 1/4*z + 1/4*z**3 + 0 - 1/2*z**n = 0.
0, 1
Let y(z) be the first derivative of -z**3 + 3*z + 4. Factor y(f).
-3*(f - 1)*(f + 1)
Let b = 99 + -97. Let t(v) be the first derivative of -1/10*v**2 + 0*v**4 + 1/30*v**6 + 2/15*v**3 - b + 0*v - 2/25*v**5. Find j, given that t(j) = 0.
-1, 0, 1
Factor 0*r - 3/2*r**5 + 0*r**4 - 3*r**2 + 0 + 9/2*r**3.
-3*r**2*(r - 1)**2*(r + 2)/2
What is v in 3/4*v**2 - 3/4 + 0*v = 0?
-1, 1
Let f(p) = p**3 - p**2 - p + 1. Let b(q) = -8*q**3 + 16*q**2 + 16*q - 8. Let w(d) = -b(d) - 10*f(d). Factor w(y).
-2*(y + 1)**3
Let b(n) = -4*n + 4*n + 4*n**2 - 5*n**2. Let f(k) = -8*k**2 + 2. Let y(h) = -6*b(h) + f(h). Factor y(q).
-2*(q - 1)*(q + 1)
Factor 5/8*r**4 + 7/8*r**2 + 9/8*r**3 + 1/4*r + 1/8*r**5 + 0.
r*(r + 1)**3*(r + 2)/8
Let u(k) = k + 2. Let y be u(0). Let -2/5*q + 2/5*q**y + 2/5*q**3 + 0 - 2/5*q**4 = 0. What is q?
-1, 0, 1
Let t(p) be the second derivative of -7*p**4/12 + p**3 - 9*p**2/14 - 34*p. Factor t(g).
-(7*g - 3)**2/7
Let m = 25 - 18. Let d(v) = v**3 + 18*v - 2. Let r(y) = -y**3 - y**2 - 19*y + 1. Let i(s) = m*d(s) + 6*r(s). Solve i(w) = 0 for w.
2
Let u be (2*(-15)/10)/(0 - 1). Find l such that 2/7*l**4 + 0*l + 0 + 4/7*l**u + 2/7*l**2 = 0.
-1, 0
Let d(v) = v**2 + 8*v + 10. Let j = 2 + -9. Let z be d(j). Determine h, given that 0*h**2 + h**5 - 6*h**2 - h**4 + h**5 + 7*h**4 - 4*h + 2*h**z = 0.
-2, -1, 0, 1
Let j(p) = -p**2 - 6*p - 6. Let l be j(-4). Let 0*m**5 + 2*m**4 - 100*m + l*m**5 + 100*m = 0. Calculate m.
-1, 0
What is p in -1 - 5/2*p**2 + 7/2*p = 0?
2/5, 1
Factor 2/13*d**3 + 4/13*d**2 + 0*d + 0.
2*d**2*(d + 2)/13
Suppose -18*a + 12 = -14*a. Let r(t) be the second derivative of -2/5*t**2 + 0 - a*t - 4/15*t**3 - 1/100*t**5 - 1/12*t**4. Determine f so that r(f) = 0.
-2, -1
Let j(m) be the second derivative of -m + 0*m**2 + 1/2*m**3 - 3/20*m**5 + 0 + 0*m**4. Factor j(f).
-3*f*(f - 1)*(f + 1)
Let o(r) be the first derivative of r**3 + 3/2*r**4 + 0*r + 0*r**2 - 9/5*r**5 - 4. Factor o(x).
-3*x**2*(x - 1)*(3*x + 1)
Let v(n) be the first derivative of -3/8*n**2 + 1/8*n**6 - 3/10*n**5 + 0*n**4 + 0*n + 1/2*n**3 - 1. Let v(z) = 0. Calculate z.
-1, 0, 1
Let x be 397 + (5 + 3)/2. Factor -x*h**2 + 120*h + 50*h**2 - 12 + 2*h**3 + 241*h**3.
3*(h - 1)*(9*h - 2)**2
Let s(b) = b**2 - 5*b - 3. Let z(t) = 5*t**2 - 31*t - 19. Let h(i) = 34*s(i) - 6*z(i). Factor h(k).
4*(k + 1)*(k + 3)
Factor -1/5*v**2 - 3/5 - 4/5*v.
-(v + 1)*(v + 3)/5
Let n be (-2)/((-240)/(-4))*-2. Let k(a) be the first derivative of 1/6*a**2 + n*a**5 + 1/4*a**4 + 2 + 1/3*a**3 + 0*a. What is p in k(p) = 0?
-1, 0
Let a be (3*(-4)/8)/((-6)/16). Let p(i) be the first derivative of 1/4*i + 1/5*i**5 + 3 - 3/8*i**2 + 3/16*i**a - 5/12*i**3. Suppose p(u) = 0. Calculate u.
-1, 1/4, 1
Let g(p) be the second derivative of 4*p + 0 + 1/48*p**4 - 1/12*p**3 + 0*p**2. Find o such that g(o) = 0.
0, 2
Let n(m) be the second derivative of -m**5/390 - m**4/156 - 3*m**2 - 2*m. Let z(i) be the first derivative of n(i). Suppose z(v) = 0. Calculate v.
-1, 0
Let z = -179/25 - -36/5. Let m(g) be the second derivative of -1/10*g**4 - 1/150*g**6 - 1/10*g**2 + 0 + z*g**5 - g + 2/15*g**3. Let m(a) = 0. What is a?
1
Let y(j) = j**3 + 6. Let w be y(0). Let -2*n**4 + 2*n - 4*n**2 + w*n**3 + 2*n**2 - 4*n**2 = 0. What is n?
0, 1
What is p in 2*p + 7*p + 2*p**2 - 5*p - 2*p = 0?
-1, 0
Let f(r) be the third derivative of r**7/3 - r**6/20 - r**5/15 - 11*r**2. Factor f(v).
2*v**2*(5*v + 1)*(7*v - 2)
Factor 2/11 - 4*q + 200/11*q**4 + 282/11*q**2 - 40*q**3.
2*(q - 1)**2*(10*q - 1)**2/11
Let u(k) be the first derivative of 1 - 1/15*k**6 + 0*k**5 - 1/5*k**2 + 1/5*k**4 + 0*k**3 + 0*k. Suppose u(p) = 0. What is p?
-1, 0, 1
Let i(a) be the second derivative of a**5/70 + 2*a**4/21 + a**3/7 - 8*a. Factor i(m).
2*m*(m + 1)*(m + 3)/7
Let a(b) = b**2 + 2*b. Let w(c) be the third derivative of c**4/12 - 3*c**2. Let d(r) = 2*a(r) - 3*w(r). Factor d(s).
2*s*(s - 1)
Let 16/3*z + 0 - 20/3*z**3 - 32/3*z**2 = 0. Calculate z.
-2, 0, 2/5
Let z(b) = -9*b**3 - 21*b**2 - 5*b - 5. Let n(l) = -14*l**3 - 32*l**2 - 8*l - 8. Let m(v) = -5*n(v) + 8*z(v). Find f, given that m(f) = 0.
-4, 0
Let w(m) = -3*m**4 + 15*m**3 - 9*m**2 - 12*m + 9. Let n(d) = d**3 - 1. Let u(p) = 3*n(p) - w(p). Factor u(c).
3*(c - 2)**2*(c - 1)*(c + 1)
Let w = 22 + -23. Let r(z) = 16*z**3 - 16*z**2 + 20*z + 12. Let y(x) = x**3 - x**2. Let i(n) = w*r(n) + 20*y(n). Find o such that i(o) = 0.
-1, 3
Let m = 9 + -4. Let l be (-6 - -1)*(-6)/m. Determine p, given that -2 + 6*p**2 - 4*p**4 + 6 + 14*p - 14*p**3 - l*p**4 = 0.
-1, -2/5, 1
Let t = 6 + -4. Factor 0*a**2 + a**2 + t*a**3 - a**2 - 2*a.
2*a*(a - 1)*(a + 1)
Let f = 6 - 4. Let i = -4 - -6. Factor -4*z**2 + z**2 + 4*z + 5*z**i + f.
2*(z + 1)**2
Let l be (-4)/(-8) - (-3)/(-6). Factor 0*f**4 + 0*f**2 + 3/5*f**5 + l + 0*f - 3/5*f**3.
3*f**3*(f - 1)*(f + 1)/5
Let b = -2/95 + 289/190. Determine r, given that -b*r + 0 - 3*r**2 - 3/2*r**3 = 0.
-1, 0
Let c(z) be the third derivative of -z**8/2016 - z**7/420 + z**5/90 + 6*z**2. Determine o, given that c(o) = 0.
-2, 0, 1
Suppose 0 = -4*l + 105 - 5. Suppose 0*g = -5*g + l. Find w, given that -2/9*w**g - 4/9*w**3 + 2/3*w - 2/9 + 2/3*w**4 - 4/9*w**2 = 0.
-1, 1
Let z be (-3)/6*(-8)/2. Let q be 0/3*(-1)/z. Determine s, given that 0*s - 2/7*s**4 - 2/7*s**5 + q + 2/7*s**3 + 2/7*s**2 = 0.
-1, 0, 1
Solve a**2 - 6*a**5 + 16*a**4 - 14*a**3 + 6*a**2 - 3*a**2 = 0 for a.
0, 2/3, 1
Let j(f) be the first derivative of 3/4*f**3 + f + 3/20*f**6 + 3/8*f**4 - 2 - 3/2*f**2 - 21/40*f**5. Let o(i) be the first derivative of j(i). Factor o(a).
3*(a - 1)**3*(3*a + 2)/2
Factor 3*f**3 + 0*f - 3*f 