25*p**4 = 0. Calculate p.
2/5, 1/2
Determine a, given that -4*a - 5*a**3 + 0*a**3 + 9*a - 15 - 3*a**2 + 18*a**2 = 0.
-1, 1, 3
Suppose 0 = -3*h + 4*h. Let o(u) be the third derivative of 0*u**3 + u**2 + 0 + 1/60*u**5 + h*u + 1/24*u**4. Factor o(c).
c*(c + 1)
Suppose d = -4*d. Suppose -5*a + 5*h = d, 2*a = -h + 7 - 1. Determine t, given that 4/3*t - 1/3*t**a - 4/3 = 0.
2
Suppose -4*p + 5 = -7. Find q, given that -18*q**2 + p*q**2 + 48*q - 16 - 19*q**2 - 2*q**2 = 0.
2/3
Let h(m) = -m + 4. Let v be h(2). Suppose -2*a - 2/3 - 2*a**v - 2/3*a**3 = 0. What is a?
-1
Let d = -2 + 2. What is z in 0 + 0*z + 2/3*z**3 + 4/3*z**4 + d*z**2 + 2/3*z**5 = 0?
-1, 0
Let o = 1061 + -3181/3. Let -4/3*m - o*m**2 + 0 = 0. Calculate m.
-2, 0
Let n(q) = -q**2. Let x(j) = j**2 - 10*j + 4. Let g(m) = 5*n(m) - x(m). Factor g(v).
-2*(v - 1)*(3*v - 2)
Let c = 14 - 26. Let b = 20 + c. Let -2*j**4 + 0*j + 4*j - 2*j**2 + b*j**2 = 0. Calculate j.
-1, 0, 2
Suppose 5*r = -15 - 5, 8 = v - 2*r. Factor -1/2*g**5 + 0*g + 0 + 2/3*g**4 + v*g**2 - 1/6*g**3.
-g**3*(g - 1)*(3*g - 1)/6
Suppose 2*u + 15 = -3*a, 5*a - a + 20 = -5*u. Factor 2/11*h**2 - 8/11 + u*h.
2*(h - 2)*(h + 2)/11
Let f(d) be the second derivative of -2*d + 7/24*d**4 + 1/6*d**3 + 0 + 0*d**2. Factor f(s).
s*(7*s + 2)/2
Let c(g) be the second derivative of -g**5/10 + g**4/24 + 25*g. Find d, given that c(d) = 0.
0, 1/4
Factor -14/15*k**2 - 2/15*k**4 + 2/5*k + 0 + 2/3*k**3.
-2*k*(k - 3)*(k - 1)**2/15
Let f be (4/26)/(9 - 6). Let v(t) be the third derivative of 4*t**2 - 4/39*t**3 + 0 + 1/130*t**5 + 0*t + f*t**4 - 3/260*t**6. Factor v(q).
-2*(q + 1)*(3*q - 2)**2/13
Let r = -388/15 - -26. Let i(u) be the first derivative of 1 + 0*u**2 - r*u**3 + 2/5*u. What is o in i(o) = 0?
-1, 1
Let l(f) be the second derivative of -f**6/90 - f**5/30 - f**4/36 - f. Factor l(m).
-m**2*(m + 1)**2/3
Let r(t) be the third derivative of -t**5/5 - 2*t**4 + 40*t**3/3 - 10*t**2. Let w(s) = -s**2 - s + 1. Let d(p) = -r(p) + 16*w(p). Factor d(z).
-4*(z - 4)**2
Let g = -8 - -8. Suppose 0*d + 5*v - 6 = d, g = d - 4*v + 4. Determine h, given that 0 + 1/4*h**d - 1/4*h**2 - 1/4*h**3 + 1/4*h = 0.
-1, 0, 1
Let w be 0 - -1 - (0 + 0). Let d(l) = l**5 + l**3 - l**2. Let i(c) = 2*c**5 + 2*c**4 + 2*c**3 - c**2. Let s(n) = w*i(n) - d(n). Factor s(j).
j**3*(j + 1)**2
Let o(h) be the second derivative of -1/12*h**4 + 0*h**2 - 1/6*h**3 + 3*h + 0. Factor o(n).
-n*(n + 1)
Let g(k) be the first derivative of 1/4*k**4 + 1/3*k**3 + 0*k**2 - 1 + 0*k. Factor g(q).
q**2*(q + 1)
Let d be ((-6)/4)/((-3)/6). Find s, given that s**2 + s**d + s - s**2 - s**2 - s**2 = 0.
0, 1
Let t(z) be the third derivative of z**8/13440 + z**7/1120 + z**6/240 + z**5/60 - 2*z**2. Let n(y) be the third derivative of t(y). Factor n(j).
3*(j + 1)*(j + 2)/2
Let v(x) = -x**2 - 10*x - 14. Let u(a) = 3*a**2 + 31*a + 41. Let i(w) = 2*u(w) + 7*v(w). Find n such that i(n) = 0.
-4
Let g be -2*((-1)/2 + -2). Suppose -g*a + 3*a = -6. Suppose -1/2*c**5 + 0 - 3*c**a - 2*c**2 - 2*c**4 - 1/2*c = 0. What is c?
-1, 0
Let u = 149/114 + 1/38. Let c(y) be the first derivative of 2 - 2*y + 0*y**4 + u*y**3 - 2/5*y**5 + 0*y**2. Solve c(n) = 0.
-1, 1
Solve -9*f + 20*f**4 - 12*f**3 + 0*f - 48*f**2 - 8*f + f = 0.
-1, -2/5, 0, 2
Let m(u) = -3*u**4 + u**3 + 5. Let k(o) = -2*o**4 + o**3 + 3. Let i(v) = 5*k(v) - 3*m(v). Suppose i(h) = 0. Calculate h.
0, 2
Let o(h) be the first derivative of -h**6/150 + h**5/100 + h**4/60 - h**3/30 - 2*h - 3. Let c(w) be the first derivative of o(w). Factor c(y).
-y*(y - 1)**2*(y + 1)/5
Let u = 17 - 7. Suppose 3*a = a - u, 3*a = -4*w - 3. What is f in 0*f**2 + 0 + 0*f - 1/3*f**w = 0?
0
Let n(d) be the first derivative of -d**5/5 - d**4/10 + 61. Suppose n(f) = 0. Calculate f.
-2/5, 0
Let k be 1 - (0 - (2 + 1)). Suppose 0 = -0*v - 2*v + k. Factor 0 - 1/6*q**v - 1/3*q.
-q*(q + 2)/6
Find h, given that -2*h**3 + h**4 + h**5 - h**2 + h**2 - 2*h**2 + h + 1 = 0.
-1, 1
Let z(r) be the second derivative of -r**5/10 - 2*r**4/3 - 4*r**3/3 + 2*r + 47. Factor z(l).
-2*l*(l + 2)**2
Factor -4/3*i + 0 - 1/3*i**4 - 5/3*i**3 - 8/3*i**2.
-i*(i + 1)*(i + 2)**2/3
Let q(p) be the first derivative of 2*p**3/3 - 28*p**2 + 392*p - 39. Factor q(z).
2*(z - 14)**2
Let t(n) be the second derivative of -1/3*n**3 + 0*n**2 + 0 + 1/24*n**4 + 1/60*n**5 + n + 1/360*n**6. Let m(x) be the second derivative of t(x). Factor m(v).
(v + 1)**2
Let 2*l + 173 + 2*l**2 - 173 = 0. What is l?
-1, 0
Factor -6/7*c**2 + 3/7*c**3 + 0 + 3/7*c.
3*c*(c - 1)**2/7
Let u(d) = -d**2 - 7*d - 5. Let r be u(-5). Factor -2 - 2*p**2 + 2*p**4 + 4 - p + 4*p**3 - 2*p**r - 2*p**2 - p.
-2*(p - 1)**3*(p + 1)**2
Let h = -257/2 - -129. Let f(l) be the first derivative of -3/8*l**4 + 3 - h*l**3 + 0*l - 1/4*l**2 - 1/10*l**5. Factor f(g).
-g*(g + 1)**3/2
Suppose -14*m = -12*m. Let t(o) be the third derivative of 0 + 4/315*o**7 - o**2 + 2/45*o**5 + m*o**3 - 1/504*o**8 + 0*o - 1/36*o**4 - 1/30*o**6. Factor t(a).
-2*a*(a - 1)**4/3
Factor 25*y - 16*y + 20*y**4 + 20*y**2 - 5*y**5 - 30*y**3 - 14*y.
-5*y*(y - 1)**4
Factor -1/2 - 5/8*w**2 + 1/8*w**3 + w.
(w - 2)**2*(w - 1)/8
Let z(a) be the first derivative of a**6/18 - 2*a**5/15 + a**4/12 - 1. Factor z(b).
b**3*(b - 1)**2/3
Suppose t + 5*z = 13, 0 = -2*t - 5*z + 7*z + 2. Let y(j) be the second derivative of 1/3*j**t + 0*j**2 + 1/10*j**5 + 0 - 1/3*j**4 - 2*j. Factor y(d).
2*d*(d - 1)**2
Suppose 1 + 7 = 4*z. Factor -28*c + 28*c - 2*c**5 + z*c**3.
-2*c**3*(c - 1)*(c + 1)
Let q be 12/18*45/2. Suppose 0 = 2*z - 5*i - 25, 4*i = -2*z - 5 - q. Factor z - 2/7*h**2 + 0*h - 4/7*h**3 - 2/7*h**4.
-2*h**2*(h + 1)**2/7
Let a(c) be the second derivative of -c**9/7560 + c**8/5600 + c**7/3150 - c**4/4 - 2*c. Let o(g) be the third derivative of a(g). Suppose o(h) = 0. What is h?
-2/5, 0, 1
Let f(i) be the third derivative of 1/30*i**4 + 1/75*i**6 - 6*i**2 + 0*i + 1/525*i**7 + 0*i**3 + 1/30*i**5 + 0. Factor f(s).
2*s*(s + 1)**2*(s + 2)/5
Factor 200/9 + 2/9*a**2 + 40/9*a.
2*(a + 10)**2/9
Let d be (-4)/(4/7)*-1. Let n(m) = 4*m**2 + 2*m - 5*m - d*m**3 + 4*m**3. Let l(v) = v**3 + v. Let j(f) = 5*l(f) + n(f). Solve j(g) = 0.
-1, 0
Let x(d) be the second derivative of -d + 0 + 0*d**2 + 1/12*d**4 - 1/40*d**5 - 1/12*d**3. Determine h so that x(h) = 0.
0, 1
Factor 24*q - 9 + 0*q**3 - 3 + 3*q**3 - 15*q**2.
3*(q - 2)**2*(q - 1)
Let h = -2 + -28. Let g be (-15)/(-18)*(-32)/h. Find j, given that -g - 2/9*j**2 + 8/9*j = 0.
2
Let y be 66/(-15)*10/(-2). Solve 15*o**4 + 18*o**2 + 33*o + 73*o**3 + 45*o**2 + 6 - y*o**3 = 0 for o.
-1, -2/5
Suppose -59/2*o**3 + 0*o**2 + 2*o + 0 + 14*o**5 + 27/2*o**4 = 0. What is o?
-2, -1/4, 0, 2/7, 1
Let g(a) be the first derivative of -a**7/150 + 11*a**6/900 - a**5/150 - a**3/3 + 6. Let u(y) be the third derivative of g(y). Factor u(f).
-2*f*(2*f - 1)*(7*f - 2)/5
Factor 5*u**4 + 14*u**3 + 5*u - 5*u**2 - 24*u**3 + 5*u**3.
5*u*(u - 1)**2*(u + 1)
Let c = -4 - -6. Let 2*a - a**2 + 2*a**c + 0*a + a + 2 = 0. Calculate a.
-2, -1
Let 5*o + 0*o**3 + 5*o**4 - 5*o**3 + 0*o - 5*o**2 + 0*o**4 = 0. What is o?
-1, 0, 1
Let d(j) be the second derivative of -j**8/336 - 2*j**7/105 - j**6/20 - j**5/15 - j**4/24 + j**2/2 - 5*j. Let p(a) be the first derivative of d(a). Factor p(t).
-t*(t + 1)**4
Let x(y) be the first derivative of y**5/10 + 5*y**4/6 + 7*y**3/3 + 3*y**2 + 6*y - 1. Let z(o) be the first derivative of x(o). Solve z(h) = 0 for h.
-3, -1
Let l be 1/3*15*-2. Let r = -8 - l. What is a in 1/3*a**r - 1/3*a + 0 = 0?
0, 1
Let o(m) be the second derivative of m**7/189 - m**5/90 - 10*m. Factor o(s).
2*s**3*(s - 1)*(s + 1)/9
Let p(q) = 4*q - 2. Let b be p(1). Solve -8/15*c**b - 2/15*c**3 - 4/15 - 2/3*c = 0 for c.
-2, -1
Let y(f) = -f**2 - 1. Let c(h) = 28*h**2 - 12*h + 24. Let q(x) = c(x) + 20*y(x). Let n(z) = -z**2 + 1. Let j(s) = 4*n(s) + q(s). Factor j(i).
4*(i - 2)*(i - 1)
Let w(b) = -3*b - 12. Suppose -4*u = -u, -4*v + 5*u - 20 = 0. Let k be w(v). Suppose 1/6*q**4 + 3*q**2 + 10/3*q + 4/3 + 7/6*q**k = 0. Calculate q.
-2, -1
Let p(z) be the second derivative of 3*z**5/50 - z**4/30 - z**3/5 + z**2/5 - 8*z. Suppose p(t) = 0. Calculate t.
-1, 1/3, 1
Suppose 2*j + 3*l = l - 88, 0 = 2*l + 4. Let s be (8/(-28))/(3/j). Let -q**s + 4/3*q**5 + 0 - 5/3*q**3 + q**2 + 1/3*q = 0. Calculate q.
-1, -1/4, 0, 1
What is c in -16/9*c**4 + 34/9*c**3 + 0 + 0*c - 