*p + 3/4 - 1/4*p**y.
-(p - 3)*(p + 1)/4
Let d(c) be the second derivative of -c**6/600 - c**5/150 - c**4/120 - c**2/2 + 3*c. Let t(k) be the first derivative of d(k). Find a such that t(a) = 0.
-1, 0
Suppose 0 = 5*z - 37 + 27. Let c be ((-2)/5)/(6/(-10)). Determine o, given that 0 - 1/3*o**5 + 1/3*o - c*o**4 + 2/3*o**z + 0*o**3 = 0.
-1, 0, 1
Let l(g) be the second derivative of -g**4/90 - g**3/45 + 9*g. Find k such that l(k) = 0.
-1, 0
Let v = -12 - -49/4. Suppose -5*q - 7 = 5*l - 12, -3*l + 18 = -2*q. Let 0*h + 0 - v*h**l + 1/4*h**2 + 0*h**3 = 0. Calculate h.
-1, 0, 1
Solve 0 + 0*l + 3/2*l**2 - 3/2*l**4 + 9/4*l**3 - 9/4*l**5 = 0.
-1, -2/3, 0, 1
Let s(n) be the third derivative of n**9/90720 - n**7/7560 + n**5/60 + n**2. Let a(p) be the third derivative of s(p). Factor a(q).
2*q*(q - 1)*(q + 1)/3
Let g(z) be the third derivative of z**5/150 - z**4/60 - 2*z**3/5 + 4*z**2. Factor g(l).
2*(l - 3)*(l + 2)/5
Let x(k) be the third derivative of 0 - 1/120*k**6 + 0*k + 2*k**2 + 0*k**3 - 1/180*k**5 + 1/36*k**4. Let x(r) = 0. Calculate r.
-1, 0, 2/3
Let g(p) = -12*p**4 + 36*p**3 + 3*p**2 - 36*p + 9. Let l(m) = 3*m**4 - 9*m**3 - m**2 + 9*m - 2. Let u(b) = -4*g(b) - 15*l(b). Let u(t) = 0. Calculate t.
-1, 1, 2
Let m(g) be the second derivative of 0*g**2 + 4*g + 0*g**3 + 1/18*g**4 - 1/63*g**7 - 1/45*g**6 + 1/30*g**5 + 0. Determine i, given that m(i) = 0.
-1, 0, 1
Let o(y) be the first derivative of 27/5*y - 18/5*y**2 - 4 + 4/5*y**3. Factor o(c).
3*(2*c - 3)**2/5
Let z(g) = -g**2 - 1. Let i(h) = 5 + 1 + 7*h + h + 0*h. Let l(n) = i(n) - 2*z(n). Factor l(m).
2*(m + 2)**2
Let m be (4/360)/(1/8). Let k(r) be the second derivative of m*r**6 - 11/30*r**5 - 1/9*r**3 - 1/3*r**2 + 1/2*r**4 + 0 + 2*r. Factor k(n).
2*(n - 1)**3*(4*n + 1)/3
What is j in 5184/5 + 3/5*j**3 + 1296/5*j + 108/5*j**2 = 0?
-12
Let w(q) be the third derivative of 1/6*q**3 + 0*q**4 - 1/30*q**5 + 0*q**6 + 3*q**2 + 0 + 1/210*q**7 + 0*q. Solve w(g) = 0.
-1, 1
Let l(q) be the third derivative of q**8/3360 - q**7/1680 - q**6/144 - q**5/80 - 4*q**3/3 + 8*q**2. Let i(f) be the first derivative of l(f). Factor i(t).
t*(t - 3)*(t + 1)**2/2
Find b such that 6/5*b**3 - 9/5 + 9/5*b**2 - 6/5*b = 0.
-3/2, -1, 1
Suppose 0 = -s + 4*f - 14, -3*f = -2*s + 4*s - 16. Factor -s*v**4 - 13*v**2 + 7*v**3 + 4*v - 1 + v + v**2 + 3*v**2.
-(v - 1)**3*(2*v - 1)
Let c = 11 + -9. Suppose 3*x - x**2 + 8*x**4 + x**4 - c*x**2 - 6*x**4 - 3*x**3 = 0. What is x?
-1, 0, 1
Let a(t) = -5*t**2 - 12*t + 9. Let l(c) = -c**2 - c. Let b(m) = a(m) - 6*l(m). Determine j, given that b(j) = 0.
3
Determine d, given that -4*d - 2 - 5/2*d**2 - 1/2*d**3 = 0.
-2, -1
Suppose o - 154 = 4*v, 0*v + 5*o - 124 = 3*v. Let p = v + 115/3. Find h such that -2/3*h**2 + p*h + 0*h**3 - 1/3*h**5 + 0 + 2/3*h**4 = 0.
-1, 0, 1
Let c be (2 + -6)/(-2) - -2. Suppose 4*d + 4*y = -4, -2*d - c*y = 3*d. Suppose -2*v + d - 2*v**3 - 5*v**2 + v**2 + 4*v**3 = 0. Calculate v.
-1, 1, 2
Let d = -9 - -21/2. Let x = 27/2 + -13. Factor -x + d*m**2 + m.
(m + 1)*(3*m - 1)/2
Suppose 14 - 5 = 3*m. Let g = m + 0. Factor 0*u + 0 + 2/5*u**g - 2/5*u**2.
2*u**2*(u - 1)/5
Suppose 3*w = w. Let l(t) = t**3 - t - 3. Let y be l(2). Solve 0 + 0*q**4 - 16/5*q**5 + w*q**2 + 0*q + 1/5*q**y = 0 for q.
-1/4, 0, 1/4
Let h be ((-10)/3)/((-4)/6). Let q be (-8)/40 + 3/h. Factor -2/5*c + 2/5*c**3 - q + 2/5*c**2.
2*(c - 1)*(c + 1)**2/5
Let i = 331/5 + -66. Let w(f) be the first derivative of -3/5*f**2 + 3 + 1/15*f**6 + 4/15*f**3 + 2/5*f - 6/25*f**5 + i*f**4. Factor w(j).
2*(j - 1)**4*(j + 1)/5
Let f(k) be the first derivative of -3*k**6 - 393*k**5/35 - 333*k**4/28 - 36*k**3/7 - 6*k**2/7 - 15. Let f(m) = 0. Calculate m.
-2, -1/2, -1/3, -2/7, 0
Suppose 2*z = z + 4, 5*o - 2*z = 17. Let f(j) be the third derivative of -2*j**2 + 0 - 1/4*j**4 + 1/3*j**3 + 1/10*j**o + 0*j - 1/60*j**6. Factor f(s).
-2*(s - 1)**3
Let z = 13/9 - 7/9. Find f such that 1/3*f**3 + z*f**2 + 0 + 0*f = 0.
-2, 0
Factor -2 - 7 + 7 - 6*z - 4*z**2.
-2*(z + 1)*(2*z + 1)
Let r be 9/(-3) - (-25)/(-10). Let p = -5 - r. Factor -p - 1/4*a**2 - 3/4*a.
-(a + 1)*(a + 2)/4
Suppose f = 7 + 1. Suppose n + 6 = f. Solve -4/3*c**3 + 8/3*c + 2/3*c**4 - n*c**2 + 8/3 = 0.
-1, 2
Let s(h) be the second derivative of 3*h + 0 + 0*h**2 + 0*h**3 + 1/12*h**4. Let s(x) = 0. What is x?
0
Suppose -5*v - 6*p = -p - 20, -2*p = -2*v. Suppose 0*y - 24 = -2*y - 4*x, 3*y = -3*x + 24. Factor 4*u**4 - v*u**3 - 2*u**y + 0*u**3 - 4*u**4.
-2*u**3*(u + 1)
Let k = 179/15 + -53/5. Factor 0 - k*m + 2/3*m**2.
2*m*(m - 2)/3
Let r(q) be the second derivative of 3*q**5/80 + q**4/16 - q**3/4 - 2*q. Determine v so that r(v) = 0.
-2, 0, 1
Let p = 8587/6 - 1428. Let c = p + -8/3. Solve -2*a**2 - c*a + 0 - 2*a**3 = 0.
-1/2, 0
Let i(n) be the third derivative of n**6/20 - 3*n**4/4 + 2*n**3 - n**2. Let g(l) = -l**3 + l**2 + l - 1. Let m(f) = -3*g(f) - i(f). Solve m(r) = 0 for r.
-3, 1
Let o(m) be the third derivative of -m**7/210 + 3*m**6/40 - 7*m**5/20 + 19*m**4/24 - m**3 - 28*m**2. Find i such that o(i) = 0.
1, 6
Let w(r) be the first derivative of 1/3*r**2 - 1/3*r**3 - 1 + 0*r**4 + 0*r + 1/15*r**5. Factor w(c).
c*(c - 1)**2*(c + 2)/3
Suppose 3*o - 3 = d, -2*o - 22 = 3*d + 2*o. Let s be 5*d/9*-3. Find p such that -3 + 6*p**2 + s*p**2 + 2 = 0.
-1/4, 1/4
Let a = -4 + 19/4. Let n = -13/108 - -10/27. Factor n*y - 1/4*y**4 + 0 + 3/4*y**3 - a*y**2.
-y*(y - 1)**3/4
Let s(l) be the second derivative of l**7/14 - 3*l**6/10 + 9*l**5/20 - l**4/4 + 20*l. What is c in s(c) = 0?
0, 1
Let l be (-70)/(-72) + 216/(-32) + 6. Find o, given that -2/3*o - 2/3*o**2 - l - 2/9*o**3 = 0.
-1
Suppose 1 = g, -3*g - 6 = -2*z - z. Solve 2*k**z + 2 - 5 + 3 - 2*k**2 = 0 for k.
0, 1
Let d(u) be the second derivative of 0*u**2 + 0 + 1/6*u**3 - 1/12*u**4 + u. Suppose d(b) = 0. Calculate b.
0, 1
Let z(r) = 2*r - 3. Let y be z(-3). Let i = -6 - y. Determine a, given that -4/9*a**i - 10/9*a**5 + 0 + 0*a**2 + 14/9*a**4 + 0*a = 0.
0, 2/5, 1
Let k(f) be the third derivative of 7*f**5/160 + 9*f**4/64 + f**3/8 + 21*f**2. Determine h so that k(h) = 0.
-1, -2/7
Let q = 24 - 20. Suppose -q*f + 10 = f. Factor 0*r + 2/7*r**f - 2/7.
2*(r - 1)*(r + 1)/7
Suppose -15 = 14*s - 11*s. Let f be 0/(s + 2 - -5). Let 2/5*n**5 + f*n + 0 - 2/5*n**4 + 2/5*n**2 - 2/5*n**3 = 0. What is n?
-1, 0, 1
Let g(y) be the third derivative of -y**6/600 - y**3/2 - 5*y**2. Let l(f) be the first derivative of g(f). Find s such that l(s) = 0.
0
Let j(w) be the third derivative of -w**8/168 + w**7/105 + w**6/80 - w**5/60 - w**4/48 + 7*w**2. Let j(v) = 0. Calculate v.
-1/2, 0, 1
Let m be 4*(3 + (-27)/12). Let l(q) be the first derivative of -2/9*q**m - 8/3*q - 1 + 4/3*q**2. Factor l(j).
-2*(j - 2)**2/3
Let k(p) be the first derivative of -2*p**3 - 4*p**2 + 6 + 1/5*p**5 + 0*p**4 - 3*p. Determine c, given that k(c) = 0.
-1, 3
Let h(d) be the second derivative of 0*d**2 - 1/48*d**4 - 1/24*d**3 + 2*d + 0. Let h(i) = 0. Calculate i.
-1, 0
Let s(q) = -q**4 + q**3 + 6*q**2 - 6. Let l(j) be the first derivative of -j**3/3 + j + 3. Let u(g) = 6*l(g) + s(g). Factor u(n).
-n**3*(n - 1)
Let v = -16 + 18. Factor -3*y - 5*y**2 + 5*y**v + 2 - y**3 + 2*y**3.
(y - 1)**2*(y + 2)
Let m = -11 + 15. Suppose -2*x + 5*o - 10 = 0, 6*x = 3*x - 3*o + 27. Factor -2*r**3 - 1 - 2*r**5 + 3*r**m + 5*r**5 - 2*r**2 - 4*r**x + 3*r + 0.
-(r - 1)**4*(r + 1)
Find v such that 0 + 3/4*v**4 + 1/2*v**2 + 0*v - 5/4*v**3 = 0.
0, 2/3, 1
Let n(s) be the second derivative of 0 + 0*s**3 - 3*s - 1/24*s**4 + 1/4*s**2. Let n(c) = 0. What is c?
-1, 1
Let a(c) = c**2 + 3. Let s be a(0). Factor -10*l**5 + 6*l + 1 - 44*l**s + 21*l**2 + 36*l**4 - 5*l**2 - 5.
-2*(l - 1)**4*(5*l + 2)
Let i = -4 + 6. Factor -9*r**2 + 9 + 4*r**2 + 6*r + i*r**2.
-3*(r - 3)*(r + 1)
Let c(r) be the third derivative of r**8/13440 - r**6/480 + r**5/120 + r**4/6 - r**2. Let b(k) be the second derivative of c(k). Factor b(z).
(z - 1)**2*(z + 2)/2
Let n(o) be the third derivative of 2*o**7/105 - 19*o**6/210 - 13*o**5/105 + 19*o**4/42 + 4*o**3/7 - 36*o**2. Solve n(s) = 0.
-1, -2/7, 1, 3
Suppose 9*s - 12*s - 3 = 0, 0 = 4*q - 2*s - 18. Determine l, given that -2/3 + 2*l - 2/3*l**5 - 4/3*l**2 + 2*l**q - 4/3*l**3 = 0.
-1, 1
Let d(o) be the third derivative of -o**8/20160 + o**7/1680 - o**6/360 + o**5/20 - 5*o**2. Let n(c) be the third derivative of d(c).