. What is p?
-1, 1
Let i = -46 - -50. Let w(v) be the first derivative of 1/8*v**i + v - 1/4*v**2 + 1 - 1/3*v**3. Factor w(h).
(h - 2)*(h - 1)*(h + 1)/2
Suppose 16/3*g**2 - 6 + 2/3*g**4 - 4*g**3 + 4*g = 0. Calculate g.
-1, 1, 3
Let m(k) be the first derivative of k**7/7 - k**6/3 + k**5/10 + k**4/6 + 3*k - 2. Let j(n) be the first derivative of m(n). Factor j(x).
2*x**2*(x - 1)**2*(3*x + 1)
Let j(t) be the second derivative of t**5/55 - t**4/22 + t**2/11 + 29*t. Factor j(c).
2*(c - 1)**2*(2*c + 1)/11
Let m = 8 + -4. Factor 0*n**3 + 5*n**3 - 4*n**3 - n**m - n**5 + n**2.
-n**2*(n - 1)*(n + 1)**2
Let u(y) be the third derivative of -y**10/30240 + y**8/3360 - y**6/720 - y**4/12 - 2*y**2. Let b(w) be the second derivative of u(w). Factor b(n).
-n*(n - 1)**2*(n + 1)**2
Let s = 32/21 + -6/7. Let j(t) be the first derivative of t**4 - 1 - s*t**3 + 0*t**2 + 6/5*t**5 + 0*t. Factor j(q).
2*q**2*(q + 1)*(3*q - 1)
Let q(z) be the third derivative of -1/45*z**5 + 5*z**2 - 1/180*z**6 + 1/36*z**4 + 0 + 2/9*z**3 + 0*z. Let q(r) = 0. Calculate r.
-2, -1, 1
Let b(u) = 2*u**3 - 3*u**2 + u - 2. Let n = 1 - -1. Let v be b(n). Factor m**2 + 0*m - v*m + 3*m.
m*(m - 1)
Let a(g) = g**3 + 5*g**2 + 4*g + 3. Let l be a(-4). What is m in 12/5*m**2 + 18/5*m**l + 2/5*m + 0 + 8/5*m**4 = 0?
-1, -1/4, 0
Let y(j) = 3*j**3 + 7*j**2 - 9*j + 1. Let a(u) = -u**3 - 2*u**2 + 3*u. Let b(v) = -7*a(v) - 2*y(v). Find p, given that b(p) = 0.
-1, 2
Let b be 32/14 - 4/14. Let 4*q + 5*q**b + 0*q**2 - 2 - 2 + 2*q**3 + 5 = 0. What is q?
-1, -1/2
Let k(x) be the third derivative of 0*x**4 + 2*x**2 + 1/140*x**7 - 27/4*x**3 + 9/20*x**5 + 0 - 1/10*x**6 + 0*x. Factor k(s).
3*(s - 3)**3*(s + 1)/2
Let b(p) = p**3 - 4*p**2 + 3*p + 4. Let a be b(3). Factor -a*s + 4*s - 2*s**2 + 0*s.
-2*s**2
Let y(l) be the first derivative of l**4/20 - 4*l**3/15 + 2*l**2/5 - 6. Factor y(s).
s*(s - 2)**2/5
Let z = 5 - 3. Let w be 629/340 - 6/10. Factor -x**z - 1/4 + w*x.
-(x - 1)*(4*x - 1)/4
Suppose -w - 2*z = -3*w + 36, 2*w + 5*z = 1. Let r = w - 21/2. What is p in 4*p**4 - p**2 - r*p**5 + 0*p + 0 - 1/2*p**3 = 0?
-2/5, 0, 1
Suppose -3*d - 75 = -4*k, 111 = 5*k + 3*d - d. Let r = -103/5 + k. Suppose 0 + r*o**5 + 0*o**3 - 4/5*o**2 - 2/5*o + 4/5*o**4 = 0. Calculate o.
-1, 0, 1
Let j be ((-2)/((-10)/5))/((-3)/(-9)). Factor -1/3*p + 1/3*p**4 - 1/3*p**2 + 1/3*p**j + 0.
p*(p - 1)*(p + 1)**2/3
Let n be (-2 - -4 - 2)/(-3). Let d(a) be the second derivative of -3*a + a**2 + 1/12*a**4 + n - 1/2*a**3. Factor d(r).
(r - 2)*(r - 1)
Let n(u) be the first derivative of -2*u**3/3 + 3*u**2 - 4*u - 3. Factor n(l).
-2*(l - 2)*(l - 1)
Let l(h) be the first derivative of 0*h**2 + 1/12*h**3 - 1/16*h**4 + 1/24*h**6 + 2 - 1/20*h**5 + 0*h. Factor l(c).
c**2*(c - 1)**2*(c + 1)/4
Let a be 36/(-16) + 2/8. Let b be -1 - a - 2 - -3. Let 2*t + 5 - 3 - 2*t - b*t**2 = 0. Calculate t.
-1, 1
Let z be (-4)/18 + (-42)/(-54). Let i = -2/9 + z. Solve -1/3*b**5 + 2/3*b**3 - i*b**4 - 1/3 - 1/3*b + 2/3*b**2 = 0.
-1, 1
Factor -6*g**3 - 38/3*g + 14*g**2 + 4 + 2/3*g**4.
2*(g - 6)*(g - 1)**3/3
Let u(a) be the first derivative of 3*a**8/1960 + a**7/245 + a**6/1260 - a**5/210 - a**3/3 + 5. Let l(k) be the third derivative of u(k). What is r in l(r) = 0?
-1, -2/3, 0, 1/3
Let k(f) = 20*f**2 + 2*f + 17. Let o(g) = -7*g**2 - g - 6. Let d(q) = 6*k(q) + 17*o(q). Let i be d(5). Factor 4/5*n**3 + i*n**4 + 0 + 0*n**2 - 2/5*n**5 - 2/5*n.
-2*n*(n - 1)**2*(n + 1)**2/5
Let -2/5*f**2 - 2/5*f**3 + 0 + 0*f = 0. What is f?
-1, 0
Let s(h) be the third derivative of 0*h**7 + 0*h**4 + 0*h**5 - 1/168*h**8 + 0*h**6 + 0*h + 0 + 0*h**3 + h**2. Solve s(v) = 0 for v.
0
Let -1/2*v**2 + 1/3 - 1/6*v = 0. Calculate v.
-1, 2/3
Let a(s) be the first derivative of 7/3*s**3 + 6 + 0*s**2 - 1/4*s**4 - 4*s + 1/6*s**6 - 3/5*s**5. Solve a(i) = 0 for i.
-1, 1, 2
Let v(c) = c**3 + 5*c**2 - c - 2. Suppose i = 2*z - 6*z + 15, 0 = 5*i - z + 30. Let m be v(i). What is r in 0 + 0*r**2 - 1/6*r**5 + 0*r**m + 0*r - 1/3*r**4 = 0?
-2, 0
Solve -26*x**4 + 2*x**3 - 26*x**4 + 51*x**4 = 0.
0, 2
Let k(h) be the third derivative of 0 + 0*h + 0*h**3 - 1/50*h**5 + 2*h**2 + 1/30*h**4 + 0*h**6 + 1/525*h**7. Factor k(b).
2*b*(b - 1)**2*(b + 2)/5
Let f(g) be the first derivative of g**8/10080 - g**6/720 + g**5/360 + 4*g**3/3 + 9. Let b(x) be the third derivative of f(x). Find v, given that b(v) = 0.
-2, 0, 1
Let o(y) = -3 - 8 + 0 + 2 + 7*y**2 + 7*y. Let q(l) = -3*l**2 - 3*l + 4. Let x(m) = 4*o(m) + 9*q(m). What is p in x(p) = 0?
-1, 0
Suppose 0 = p - 6*p + 20. Let m(z) be the second derivative of -1/8*z**5 + 0*z**2 + 0 - 3*z - 1/84*z**7 + 1/15*z**6 + 1/12*z**p + 0*z**3. Factor m(w).
-w**2*(w - 2)*(w - 1)**2/2
Let k = 55 - 273/5. Let -8/5*v**3 + 0 - 4/5*v**4 + 6/5*v**5 + 4/5*v**2 + k*v = 0. What is v?
-1, -1/3, 0, 1
Let x be (-15)/(-6) - 6/(-12). Solve 6/5*v**x + 0 + 2/5*v - 6/5*v**2 - 2/5*v**4 = 0 for v.
0, 1
Let -3*j**2 - 1 - 9*j + 1 + 0 = 0. Calculate j.
-3, 0
Let o be 7/(15/(-1866)*2). Let z = o - -437. Factor -18/5*n**2 - z*n**4 + 2/5 - 22/5*n**3 - 2/5*n.
-2*(n + 1)**3*(4*n - 1)/5
Let v be (-4)/(-36)*(0 + 6). Let u(a) be the first derivative of -14/9*a**3 - 2 + 0*a - v*a**2. Factor u(i).
-2*i*(7*i + 2)/3
Let i(y) be the third derivative of 0*y**3 + 1/40*y**6 + 0*y + 0 - 6*y**2 + 3/8*y**4 + 1/5*y**5. Solve i(u) = 0.
-3, -1, 0
Let h(q) be the third derivative of 0*q**5 + 0*q + 1/60*q**6 + 0 + 2/3*q**3 - 1/4*q**4 + q**2. Factor h(r).
2*(r - 1)**2*(r + 2)
Suppose 3*r + 12 = 3*k + 7*r, 9 = -4*k + 3*r. Factor 0*m**4 + k*m + 2*m**4 - m**2 - m**3 + m - m**4.
m*(m - 1)**2*(m + 1)
Let c(o) = -2*o**3 + o + 399. Let t be c(0). Let g = -1587/4 + t. Let -15/4*s**4 + 0*s + 3*s**2 + g*s**5 + 0 - 3*s**3 = 0. Calculate s.
-1, 0, 2/3, 2
Suppose -6 = -2*a - 0. Let q(k) be the first derivative of 1/5*k**2 - 2 + 1/10*k**4 - 4/15*k**a + 0*k. Factor q(g).
2*g*(g - 1)**2/5
Let a(h) be the second derivative of 0 + 3/4*h**4 + 1/20*h**5 + 3*h - 7/10*h**6 + 3/14*h**7 + 1/3*h**3 + 0*h**2. Let a(f) = 0. What is f?
-1/3, 0, 1, 2
Let y(v) be the third derivative of -v**6/240 - v**5/40 + v**4/12 + v**3 + 2*v**2 + 6*v. Let y(p) = 0. Calculate p.
-3, -2, 2
Let k(s) be the third derivative of s**8/7560 - s**7/1890 + s**6/1620 - 2*s**3/3 - 4*s**2. Let h(d) be the first derivative of k(d). Let h(z) = 0. Calculate z.
0, 1
Let l be (-5)/15 + (2 - 2/6). What is n in 0 + l*n**3 - 8/9*n**4 - 8/9*n**2 + 2/9*n + 2/9*n**5 = 0?
0, 1
Let q(v) = 21*v - 27. Let f(x) = x**2 - 20*x + 27. Let n = -4 - -4. Suppose 10 = -5*u - n. Let a(i) = u*q(i) - 3*f(i). Let a(y) = 0. Calculate y.
3
Let s be 14/4*(-8)/(-14). Factor -r**5 + 3*r - 2*r**5 + 3*r**3 - 7*r + 2*r**5 + 4*r**2 - s*r**4.
-r*(r - 1)**2*(r + 2)**2
Suppose -m + 3*t = -0*t - 10, 5*m - 18 = -t. Factor 3*b**3 + 6*b**2 + b**3 + b**m + 0*b**2 - 2*b**2.
b**2*(b + 2)**2
Let n be (-33)/4510*(-116)/1. Let d = -2/41 + n. Factor 0 + d*m + 2/5*m**2 - 2/5*m**3.
-2*m*(m - 2)*(m + 1)/5
Let c(d) be the first derivative of -5*d**4/4 - 25*d**3/3 - 20*d**2 - 20*d + 4. Determine q so that c(q) = 0.
-2, -1
Let n(y) be the second derivative of 0 + 3/5*y**5 + 0*y**3 + 2*y + 2/15*y**6 + 0*y**2 + 2/3*y**4. Factor n(h).
4*h**2*(h + 1)*(h + 2)
Let v(m) be the third derivative of -3*m**5/5 + 11*m**4/6 - 4*m**3/3 - m**2. Factor v(n).
-4*(n - 1)*(9*n - 2)
Let i(b) be the second derivative of 0 - 3/20*b**5 + 0*b**2 + 3*b - 3/4*b**4 - b**3. Factor i(m).
-3*m*(m + 1)*(m + 2)
Let v be (0 - -2) + 8/(-6). Suppose -3*c - 7*m = -3*m + 8, -3*m - 7 = 2*c. Let -1/3*f + 2/3*f**2 - v*f**c + 0 + 0*f**3 + 1/3*f**5 = 0. What is f?
-1, 0, 1
Let u(o) be the second derivative of 0 + 2*o + 0*o**3 - 1/15*o**5 - 1/60*o**6 + 1/18*o**4 + 0*o**2 + 1/28*o**7. Find s such that u(s) = 0.
-1, 0, 2/3
Suppose 3 + 0 + 0 + 5 + 4*n - 4*n**2 = 0. What is n?
-1, 2
Factor -991*n + 5*n**3 + 20*n**4 + 991*n.
5*n**3*(4*n + 1)
Let f be (-962)/(-819) + (-4)/(-42)*-3. Factor -2*o + 4/9 + f*o**2.
2*(o - 2)*(4*o - 1)/9
Let c(s) be the second derivative of s**8/23520 - s**7/2205 + s**6/504 - s**5/210 - s**4/6 - 3*s. Let n(a) be the third derivative of c(a). Factor n(m).
2*(m - 2)*(m - 1)**2/7
Let b(d) be the second derivative of -6/5*d**3 - 6/5*d**2 - 1/4*d**4 + 0 - d. Factor b(v).
-3*(v + 2)*(5*v + 2)/5
Let f(y) be the first derivative of -3*y**4/8 - 7*y**3/12 + y/4 + 3. Factor f(v).
-(v + 1)*(2