2*(q + 1)**2/3
Let s(h) be the first derivative of h**6/105 + h**5/70 + 4*h + 2. Let w(z) be the first derivative of s(z). Let w(r) = 0. What is r?
-1, 0
Let 1 - 7*a**4 + 0*a**3 - 2*a**2 + 8*a**4 + 0*a**3 = 0. Calculate a.
-1, 1
Let u(w) be the first derivative of -w**3/6 - w**2 - 3*w/2 + 3. Find p, given that u(p) = 0.
-3, -1
Factor -2/7*d**2 + 0 - 2/7*d.
-2*d*(d + 1)/7
Determine t so that -30 - 31*t - 14*t**2 + 2 - 71*t = 0.
-7, -2/7
Let g(t) be the first derivative of 0*t**4 - 1/15*t**3 - 1/2*t**2 + 1/150*t**5 - 2 + 0*t. Let k(v) be the second derivative of g(v). Factor k(l).
2*(l - 1)*(l + 1)/5
Let z(r) = -5*r**2 - r - 3*r**2 + r**2 + 5. Let n(i) = -11*i**2 - i + 8. Let s(l) = -5*n(l) + 8*z(l). Factor s(u).
-u*(u + 3)
Let p(b) be the third derivative of -b**5/12 - 5*b**4/6 - 5*b**3/2 + 4*b**2. Solve p(g) = 0.
-3, -1
Suppose 0 = 5*q - c - 16, 0*q + 3*q + 4 = 4*c. Let -b**2 + b**3 - b**3 - 8*b - q*b**4 + 13*b**2 = 0. What is b?
-2, 0, 1
Let i(o) = -6*o**3 + 18*o**2. Let s(h) = 7*h**3 - 18*h**2. Let f(l) = -4*i(l) - 3*s(l). Factor f(k).
3*k**2*(k - 6)
Let k be 2 + ((-4)/12*0)/1. Let l be 2/(-8) - 11/(-12). What is b in 11/3*b**4 + l*b + b**5 + 3*b**k + 5*b**3 + 0 = 0?
-1, -2/3, 0
Let a(s) be the second derivative of 1/2*s**2 - 1/45*s**5 + 0 + 7/180*s**6 - 2*s - 7/36*s**4 + 2/9*s**3. Let w(p) be the first derivative of a(p). Factor w(j).
2*(j - 1)*(j + 1)*(7*j - 2)/3
Determine o, given that 0 + 32/11*o**2 - 2/11*o**5 - 10/11*o + 16/11*o**4 - 36/11*o**3 = 0.
0, 1, 5
Let k = -6 + 10. Determine w so that 2*w**2 - 8 + 4 + k = 0.
0
Let x(r) be the second derivative of r**7/420 - r**5/60 - 3*r**3/2 + 9*r. Let o(a) be the second derivative of x(a). Factor o(w).
2*w*(w - 1)*(w + 1)
What is o in -9 + o**2 + 0*o**2 - 6*o + 2*o**2 + 0*o = 0?
-1, 3
Let k(j) be the third derivative of -j**7/1785 - j**6/340 + j**4/51 - 50*j**2. Factor k(d).
-2*d*(d - 1)*(d + 2)**2/17
Let j(d) be the first derivative of d**4/28 - 9*d**3/7 + 243*d**2/14 - 729*d/7 + 7. Factor j(x).
(x - 9)**3/7
Let r(s) = -s**2 - 3*s + 2. Let v be r(-3). Let f be 2*(-3)/(-2) - 1. Let -h**3 + 2*h**2 - h**v + 0*h**f = 0. What is h?
0, 1
Let h(j) be the second derivative of -3/20*j**5 + 0*j**4 + 1/20*j**6 - 3/4*j**2 + 0 + j + 1/2*j**3. Solve h(q) = 0 for q.
-1, 1
Suppose 4*a = -5*g + 3, g - 12 = -4*g - a. Find y, given that 6*y + 1 + 0 + g*y**2 - 10*y = 0.
1/3, 1
Suppose 2*f = 10, -2*x + 2*f - f = -3. Factor -2*d**3 - d**2 + 0*d**4 + x*d**4 - d**4 - 2*d**4 + 2*d.
d*(d - 2)*(d - 1)*(d + 1)
Let o(x) = 13*x**4 + 10*x**5 - 7*x**2 + x**3 - x**3 + x**2 - 10*x. Let a(h) = -9*h**5 - 12*h**4 + 6*h**2 + 9*h. Let u(c) = -7*a(c) - 6*o(c). Factor u(p).
3*p*(p - 1)*(p + 1)**3
Let j(y) be the first derivative of 25*y**4/4 + 30*y**3 - 165*y**2/2 + 50*y - 21. Factor j(f).
5*(f - 1)*(f + 5)*(5*f - 2)
Let c(f) be the third derivative of f**8/216 + 26*f**7/945 + 17*f**6/270 + 8*f**5/135 - f**4/108 - 2*f**3/27 + f**2. Find j, given that c(j) = 0.
-1, 2/7
Let y be 4/6 - (-4)/3. Suppose -y*a + 5*a - 6 = 0. Find g such that 2 + 12*g**2 + 12*g + 5*g**3 - a*g - g = 0.
-1, -2/5
Determine i, given that 5*i**3 - 11*i**3 + i**2 - 9*i**2 - 4*i + 2*i = 0.
-1, -1/3, 0
Suppose -2/3*f**2 + 1/6*f**5 + 1/6*f + 1/3 - 1/3*f**3 + 1/3*f**4 = 0. Calculate f.
-2, -1, 1
Let y(z) be the first derivative of z**5/60 + z**4/12 + z**2/2 + 2. Let j(u) be the second derivative of y(u). Let j(k) = 0. Calculate k.
-2, 0
Let u(s) be the second derivative of 2*s**7/21 - 4*s**6/5 + 13*s**5/5 - 4*s**4 + 8*s**3/3 + 13*s. Determine g, given that u(g) = 0.
0, 1, 2
Let l = -8543/15 - -570. Let p(i) be the first derivative of 0*i + 4/3*i**4 + 0*i**2 + 2 + 4/9*i**3 + l*i**5. Suppose p(q) = 0. What is q?
-2, -2/7, 0
Let g = -274 - -36992/135. Let b(n) be the second derivative of -n - 1/90*n**5 - 1/189*n**7 + 0*n**3 + 0*n**4 + 0*n**2 + g*n**6 + 0. Factor b(t).
-2*t**3*(t - 1)**2/9
Let l be ((-9)/(-648))/((-1)/(-2)). Let w(z) be the second derivative of 3*z + 0*z**3 + 0*z**2 + 0 - 1/60*z**5 - l*z**4. Let w(p) = 0. What is p?
-1, 0
Let u(a) be the second derivative of -a**5/150 - a**4/30 - a**3/15 - a**2/15 - 2*a + 4. Factor u(t).
-2*(t + 1)**3/15
Find p, given that -p + 0 + 5*p**5 - 9/2*p**4 - 4*p**3 + 9/2*p**2 = 0.
-1, 0, 2/5, 1/2, 1
Let h(o) be the first derivative of o**6/720 - o**5/120 + o**4/48 + 2*o**3/3 - 5. Let v(z) be the third derivative of h(z). Factor v(b).
(b - 1)**2/2
Let f(x) be the second derivative of 0 + 2*x + 1/60*x**6 + 0*x**5 + 0*x**3 - 1/24*x**4 + 0*x**2. Suppose f(q) = 0. Calculate q.
-1, 0, 1
Let k be 4*-1 + -1 - -3. Let f be k*-2*(-9)/(-12). Determine r, given that f*r - r - 3*r**3 + r**3 = 0.
-1, 0, 1
Let g(n) be the second derivative of 1/45*n**6 + 0 + 0*n**4 - 1/63*n**7 + 0*n**2 + 0*n**3 + 1/15*n**5 + 5*n. Factor g(q).
-2*q**3*(q - 2)*(q + 1)/3
Factor -6*r**4 + 12*r**5 + 10*r**4 - 12*r**3 + 4*r**3.
4*r**3*(r + 1)*(3*r - 2)
Suppose 4*z = 3*h + 61, -2 = -2*z - 2*h + 18. Suppose 3*w - o - z = -2*w, 3 = -o. Let 0 - 18/7*t**3 - 2*t**4 + 0*t - 4/7*t**w = 0. What is t?
-1, -2/7, 0
Let j(m) be the third derivative of m**7/6300 + m**6/600 + m**5/150 - m**4/24 + m**2. Let h(n) be the second derivative of j(n). Let h(c) = 0. What is c?
-2, -1
Suppose 0 + 2/3*c + 7/3*c**2 + 5/3*c**3 = 0. What is c?
-1, -2/5, 0
Let f(l) be the second derivative of -l**7/280 + l**6/24 - l**5/5 + l**4/2 - l**3/3 + 4*l. Let u(n) be the second derivative of f(n). Factor u(x).
-3*(x - 2)**2*(x - 1)
Let j = -36 - -39. What is v in 2/9*v**5 - 2/9*v**j + 0 - 2/9*v**4 + 2/9*v**2 + 0*v = 0?
-1, 0, 1
Let f(d) be the first derivative of 3 + 1/3*d**3 + 0*d - 1/2*d**2. Find n, given that f(n) = 0.
0, 1
Let m(j) = j**2 - 4*j - 21. Let z be m(7). Determine v, given that v**4 - 1/2*v**5 + 0*v**3 + z + 1/2*v - v**2 = 0.
-1, 0, 1
Suppose 6*s - 9*s - 15 = 0. Let q be (-2*(-1)/s)/(-1). Solve q*h**2 + 0 + 0*h = 0.
0
Let j(h) be the third derivative of -121*h**6/150 + 11*h**5/5 - 8*h**4/5 + 8*h**3/15 - 40*h**2. Find o, given that j(o) = 0.
2/11, 1
Let z(d) be the first derivative of d**4/6 + d**3/5 - 2*d**2/5 - 2*d - 1. Let f(k) be the first derivative of z(k). Solve f(o) = 0.
-1, 2/5
Let w be 9/6*20/15. Let x(y) be the third derivative of -1/60*y**5 - w*y**2 - 1/24*y**4 + 0*y**3 + 0*y + 0. Let x(s) = 0. What is s?
-1, 0
Let i(x) be the third derivative of -x**7/2520 - x**6/216 - x**5/45 - x**4/18 - 7*x**3/6 - 4*x**2. Let c(j) be the first derivative of i(j). Factor c(f).
-(f + 1)*(f + 2)**2/3
Let g(z) be the first derivative of 8*z**4 - 80*z**3/3 + 17*z**2 - 4*z + 19. Factor g(s).
2*(s - 2)*(4*s - 1)**2
Let d = 129 - 643/5. Factor -d*p**4 + 0*p + 2/5*p**2 + 0*p**3 + 0.
-2*p**2*(p - 1)*(p + 1)/5
Let s = 45 + -43. Let y(n) be the first derivative of 0*n + 2/3*n**3 + 0*n**4 - 2/5*n**5 + 1/6*n**6 - 1/2*n**2 - s. Let y(o) = 0. What is o?
-1, 0, 1
Let w(s) = -s**2 + 3*s + 5. Let r(z) = z**2 - 5*z - 7. Let y(j) = -j**3 + j**2 + 4*j + 1. Let h be y(3). Let p(t) = h*r(t) - 7*w(t). Factor p(l).
2*l*(l + 2)
Suppose 0 = -2*n + 6, 4*n - 20 = -3*l + 16. Suppose -5*q + l = -12. Find v, given that v + 1 - v + q*v**2 - 5*v**2 = 0.
-1, 1
Let s(t) be the third derivative of t**6/1140 - t**5/570 - t**4/228 + t**3/57 - 17*t**2. Factor s(x).
2*(x - 1)**2*(x + 1)/19
Let o(c) be the third derivative of -c**5/480 + c**4/96 - 8*c**2. Factor o(d).
-d*(d - 2)/8
Let g(a) be the first derivative of -3*a**2 + 1 + a - 3*a - a**3 - a + 2. Find d such that g(d) = 0.
-1
Let t(x) be the first derivative of -x**6/30 - 3*x**5/25 - x**4/10 + 25. Factor t(k).
-k**3*(k + 1)*(k + 2)/5
Suppose 2*i + 0 = 3*f + 1, 0 = -i - 2*f + 11. Let p(k) be the third derivative of 0*k**4 - 1/210*k**i + 0 + 0*k**3 + 0*k - 2*k**2. Factor p(s).
-2*s**2/7
Factor -24/7*i**3 + 8/7*i**2 + 2/7*i + 0.
-2*i*(2*i - 1)*(6*i + 1)/7
Let n(l) be the second derivative of -l**6/1440 - l**5/240 - l**4/96 - l**3/2 - l. Let v(k) be the second derivative of n(k). Find r, given that v(r) = 0.
-1
Let m = 523 + -523. Factor -2/9*f**4 + 2/9*f**2 + m - 2/9*f**5 + 2/9*f**3 + 0*f.
-2*f**2*(f - 1)*(f + 1)**2/9
Let n(o) = -1. Let c(y) = 3*y**2 + 6*y + 3. Let z(v) = c(v) + 3*n(v). Find p, given that z(p) = 0.
-2, 0
Suppose 0*p**3 - 15*p**3 + 3*p**3 + 12*p + 8 - 8*p**2 = 0. What is p?
-1, -2/3, 1
Let w(v) = -5*v**2 + 14*v + 4. Let t(d) = -20*d**2 + 55*d + 15. Let r(x)