 0 + x*o - 4/9*o**2 + 2/9*o**3.
2*o**2*(o - 2)/9
What is y in 1/4*y**5 + 0*y**2 + 0*y + 0 - 1/4*y**3 + 0*y**4 = 0?
-1, 0, 1
Let d be 2/(-8)*1 - (13 - 14). Determine a, given that -9/8*a + 3/8*a**2 + d = 0.
1, 2
Suppose -2*h - h + 13 = 2*k, 2*h = -5*k + 16. Let p(w) be the second derivative of 0*w**2 + 0*w**4 + 0 + 0*w**h + 1/50*w**5 - 2*w. Factor p(g).
2*g**3/5
Let i(n) be the third derivative of n**6/15 - n**5/5 + 2*n**3/3 + 4*n**2. Factor i(a).
4*(a - 1)**2*(2*a + 1)
Let x be (8/(-12) + 1)*(-24)/(-2). Let s(m) be the second derivative of 9/20*m**5 + 1/2*m**x + 0*m**2 + 4*m + 0 + 1/6*m**3. Factor s(z).
z*(3*z + 1)**2
Factor -3/5*a + 9/5 - 6/5*a**2.
-3*(a - 1)*(2*a + 3)/5
Suppose -4*a - 3*p = 3 - 11, 2*p - 6 = -3*a. Suppose u**a + 1/3 + u + 1/3*u**3 = 0. Calculate u.
-1
Let h(g) be the first derivative of -5*g**3 + 5*g**2 + 5*g + 15. Factor h(z).
-5*(z - 1)*(3*z + 1)
Let h(g) be the second derivative of 3*g**5/20 + g**4/4 - g**3/2 - 3*g**2/2 - 7*g. Solve h(k) = 0.
-1, 1
Let 8/7*c - 2/7*c**3 + 2/7*c**2 - 8/7 = 0. What is c?
-2, 1, 2
Suppose -125*c - 9 = -128*c. Find s, given that 0*s**c - 1/5*s**4 + 0*s + 0 + 0*s**2 = 0.
0
Let u(t) be the third derivative of -t**8/588 + 2*t**7/147 - t**6/21 + 2*t**5/21 - 5*t**4/42 + 2*t**3/21 - 2*t**2. Factor u(b).
-4*(b - 1)**5/7
Let n(w) = -3*w - 8. Let j be n(-5). Let y be j/35*5/4. Factor -i**2 + 0 + i**3 - y*i**4 + 0*i.
-i**2*(i - 2)**2/4
Let j(s) be the third derivative of s**6/420 - s**5/70 + s**4/28 - s**3/21 - 3*s**2. What is o in j(o) = 0?
1
Let b = 1/26 - -47/130. Factor b*r**2 - 2/5*r + 2/5*r**3 - 2/5.
2*(r - 1)*(r + 1)**2/5
Let x = -112 + 114. Determine n, given that 0 - 1/4*n**5 + 1/4*n**4 + 0*n + 1/4*n**3 - 1/4*n**x = 0.
-1, 0, 1
Let x(c) = c**3 + 10*c**2 + 21*c + 3. Let m be x(-7). Solve 3/2*o**m - 1/2*o**4 + 0 - 3/2*o**2 + 1/2*o = 0 for o.
0, 1
Let z(k) be the second derivative of 0*k**4 + 0*k**2 - 3*k + 0*k**3 + 0 + 3/40*k**5. Let z(m) = 0. Calculate m.
0
Suppose -88 = c + c. Let z be c/(-30) + 10/(-15). Find w such that -2/5 - z*w**3 + 2/5*w**4 + 0*w**2 + 4/5*w = 0.
-1, 1
Factor 2/3*i + 2/3*i**2 + 0.
2*i*(i + 1)/3
Suppose -8 + 3 + 11*r - 4*r**2 - 3*r**2 + r**3 = 0. Calculate r.
1, 5
Let w(p) be the second derivative of -p**7/840 - p**6/60 - p**5/10 + p**4/3 + 6*p. Let g(i) be the third derivative of w(i). Determine d so that g(d) = 0.
-2
Let g(a) be the third derivative of a**7/70 - a**6/60 - 5*a**2. Factor g(j).
j**3*(3*j - 2)
Let f = 13 + -12. Let p be 1*(f + 3 + 1). Determine q so that 0*q + 0 - 2/3*q**p - 2/3*q**3 + 0*q**2 + 4/3*q**4 = 0.
0, 1
Let o(z) be the third derivative of z**8/1120 - z**6/240 - z**3/2 - 3*z**2. Let t(k) be the first derivative of o(k). Suppose t(c) = 0. Calculate c.
-1, 0, 1
Let g(k) = -k**2 - 11*k + 31. Let b(y) = y**2 + 5*y - 16. Let v(f) = 5*b(f) + 2*g(f). Let v(h) = 0. Calculate h.
-3, 2
Let t(j) = j**3 + j**2. Let l(f) = 3*f**3 - 17*f**2 + 10*f. Let z(u) = -l(u) - 2*t(u). Factor z(y).
-5*y*(y - 2)*(y - 1)
Let b be (1 - 6)*1*-1. Let l(d) be the first derivative of 0*d + 2 + 3/14*d**4 - 2/35*d**b + 1/7*d**2 - 2/7*d**3. Let l(w) = 0. Calculate w.
0, 1
Let i(f) = 6*f**3 - 11*f**2 - 18*f + 23. Suppose -4 + 12 = -2*r. Let a(u) = 2*u**3 - 4*u**2 - 6*u + 8. Let z(p) = r*i(p) + 11*a(p). Factor z(x).
-2*(x - 1)**2*(x + 2)
Let x = 1021/1799 + 1/257. Determine r so that 0 + x*r**2 + 0*r = 0.
0
Let c(t) be the third derivative of -2*t**7/105 + t**6/10 - t**5/15 - t**4/2 + 4*t**3/3 + 8*t**2. Determine i, given that c(i) = 0.
-1, 1, 2
Let c(a) be the second derivative of -2*a**6/15 + 3*a**5/5 - 15*a - 1. Find s, given that c(s) = 0.
0, 3
Factor 0*b + 0*b**3 - 1/5*b**2 + 0 + 1/5*b**4.
b**2*(b - 1)*(b + 1)/5
Let l(n) be the third derivative of -n**6/80 + n**5/20 - n**4/16 + 4*n**2. Solve l(w) = 0.
0, 1
Let u = -151/9 + 17. Let g(c) be the second derivative of -2/3*c**2 + 0 - 3*c - 1/36*c**4 - u*c**3. Factor g(a).
-(a + 2)**2/3
Let 8*i**3 - 4*i + 0*i**4 + 4*i**4 - 4*i**5 + 60 - 56 - 8*i**2 = 0. Calculate i.
-1, 1
Let r(u) be the first derivative of -u**7/21 - u**6/60 + u**5/30 + 2*u**3/3 + 1. Let g(j) be the third derivative of r(j). Find n such that g(n) = 0.
-2/5, 0, 1/4
Let f(x) be the second derivative of 0 - 5*x - 3*x**2 + 1/2*x**3 + 1/4*x**4. Solve f(h) = 0 for h.
-2, 1
Let b(t) be the first derivative of 3/8*t**4 - 1 - 1/2*t**2 + 1/4*t**6 - 1/2*t**3 + 0*t + 7/10*t**5. Factor b(c).
c*(c + 1)**3*(3*c - 2)/2
Let z be -1 - 3/(-3)*2. Let t = 4 - z. Find f, given that 0 - 2/5*f**t + 2/5*f**2 + 0*f = 0.
0, 1
Let v be 4/(-2) - (-24 + 1). What is x in -99*x**3 - 3 + v*x**2 + 6 - 15*x + 90*x**3 = 0?
1/3, 1
Let y be (-41)/(-21) - (-110)/(-66). Factor y*f**2 + 0*f - 8/7.
2*(f - 2)*(f + 2)/7
Suppose -k - 4*k = -30. Determine y, given that -5*y**4 + 6*y**3 + 3*y**3 - k*y**2 + 2*y**4 = 0.
0, 1, 2
Let g = 5 - 5. Suppose g = -5*w, -5*b + 2*b - 2*w = -6. Factor 1/2*d**b + 1/2*d + 0.
d*(d + 1)/2
Let o = 37 - 34. Determine p, given that 3/5*p**5 + 0 - 3/5*p + 0*p**o + 6/5*p**4 - 6/5*p**2 = 0.
-1, 0, 1
Let z be (4 + 19/(-3))*(-44)/14. Let y(c) = 2*c**2 - 3*c + 2. Let k be y(2). Find l, given that -14*l**3 - 34/3*l**k - z*l**2 - 10/3*l**5 + 0 - 4/3*l = 0.
-1, -2/5, 0
Let p(s) = -s**2 + 4*s + 3. Let r be p(4). Factor -7*g + 8*g - g**3 - 2*g**3 + 2*g**r.
-g*(g - 1)*(g + 1)
Let v(a) be the third derivative of a**5/30 - a**4/4 + 3*a**3/4 + 4*a**2. Factor v(k).
(2*k - 3)**2/2
Let l(o) be the third derivative of -o**6/210 + 4*o**5/105 - 5*o**4/42 + 4*o**3/21 - 22*o**2. Factor l(u).
-4*(u - 2)*(u - 1)**2/7
Suppose 2*b - 6*b + 16 = 0. Suppose -4*z + 0*z = -5*p + 13, -3 = 5*p + b*z. Factor -p - 6*m**2 - 2 + 1 - 8*m.
-2*(m + 1)*(3*m + 1)
Suppose -2*a = 5*b + a - 21, 0 = -5*b + 2*a + 11. Let y(r) be the first derivative of -2/15*r**b + 0*r - 2 + 0*r**2. Factor y(c).
-2*c**2/5
Let l(f) = -f**2 + 25*f - 100. Let p be l(20). Solve p*d + 0 - 2/7*d**2 = 0.
0
Solve -4*l**2 + 3*l**2 + 10 - 10*l + 3*l**2 - 2 = 0.
1, 4
Suppose 0 = -6*b + 4*b - 6, -3*b - 374 = -5*d. Find c, given that -3 - 16*c**3 - 16*c + 1 - 2 + 49*c**2 - 4*c**4 - d*c**2 = 0.
-1
Suppose -r + 5 = 3*y - 0, 0 = -y + 1. Factor 2*u + 0*u - 2*u**2 - 6*u - r.
-2*(u + 1)**2
Let r(p) be the first derivative of 5*p**4/7 + 2*p**3/21 - 2*p**2/7 - 7. Factor r(s).
2*s*(2*s + 1)*(5*s - 2)/7
Let k(n) be the first derivative of 6*n**5/5 - 7*n**4/2 - 4*n**3/9 + 20*n**2/3 - 16*n/3 - 1. Find w such that k(w) = 0.
-1, 2/3, 2
Let v = -11 - -15. Suppose -p + 9 = 5*h, p + v*h - 8 = -0. Factor 7*t**2 - 2*t + 3*t**2 + 14*t**3 + p*t + 6*t**4.
2*t*(t + 1)**2*(3*t + 1)
Let g be (-2)/(-2) - 3/(-15). Let c be 99/105 - (-4)/(-28). Factor -2/5 + c*z + g*z**2.
2*(z + 1)*(3*z - 1)/5
Let z(u) be the first derivative of u**6/3 + 2*u**5/5 - u**4/2 - 2*u**3/3 + 4. Factor z(s).
2*s**2*(s - 1)*(s + 1)**2
Let d(i) be the third derivative of i**8/8400 + i**7/1400 + i**6/600 + i**5/600 - i**3/3 - 3*i**2. Let o(m) be the first derivative of d(m). Solve o(u) = 0.
-1, 0
Suppose -4*m + 3 = -3*o - m, 5*o - 31 = -4*m. Suppose o*u - 35 = -2*u. Find i, given that -111*i**2 - 9*i**2 - 49*i + 22*i**2 - u*i - 8 = 0.
-2/7
Let t be 22/(-4) - (14 + -21). Factor t*g**2 - 1/2 - g.
(g - 1)*(3*g + 1)/2
Suppose z + z = 0. Factor -2*y**3 - y**4 + z*y**2 - 6*y - y**2 + 6*y.
-y**2*(y + 1)**2
Let z(h) be the first derivative of -6 + 0*h + 0*h**2 + 2/3*h**3 + 1/5*h**5 + 1/3*h**6 - 5/4*h**4. Suppose z(j) = 0. What is j?
-2, 0, 1/2, 1
Let c(j) = -9*j**4 - 5*j**3 + 12*j**2 + 8*j - 5. Let q(x) = 8*x**4 + 4*x**3 - 12*x**2 - 8*x + 4. Let i(l) = -4*c(l) - 5*q(l). Determine t so that i(t) = 0.
-1, 0, 2
Let p(i) = i**2 - i - 1. Let y(n) be the third derivative of -n**5/10 + 7*n**4/24 + 5*n**3/6 - 4*n**2. Let b(r) = 5*p(r) + y(r). What is l in b(l) = 0?
0, 2
Let g(s) be the second derivative of s**5/50 + s**4/10 + s**3/5 + s**2/5 + 9*s. Find k, given that g(k) = 0.
-1
Let s(v) = -v**3 + 3*v**2 + 5*v. Let y be s(4). Factor -4*c**5 + 7*c**4 + 2*c**3 + 5*c**2 - 6*c**2 - y*c**3.
-c**2*(c - 1)**2*(4*c + 1)
Let v = 28 + -23. Let r(u) be the third derivative of 1/336*u**8 + 0*u**v - 3*u**2 + 0*u**3 + 0*u - 1/210*u**7 + 0 + 0*u**6 + 0*u**4. Factor r(l).
l**4*(l - 1)
Let w = -539/2 + 1413/4. Let m = -1567/20 + w. Find u, given that 48/5 + 96/5*u + m*u**4 - 24/5*u**2 - 72/5*u**3 = 0.
-2/3, 2
Let o(d) = 2*d + 18. Let b be o(-8