at is m?
-2, -1
Find a such that 2*a**3 - a**2 - 4*a**3 + a**3 + 2*a = 0.
-2, 0, 1
Factor -260*n + 132*n + 54*n**4 - 144*n**2 + 5 - 37.
2*(n - 2)*(3*n + 2)**3
Let h = 1/194 - -771/970. Factor -h*v**2 + 2/5 + 7/5*v.
-(v - 2)*(4*v + 1)/5
Factor -1/9*p**3 + 5/9 + 1/9*p - 5/9*p**2.
-(p - 1)*(p + 1)*(p + 5)/9
Suppose 0 = -2*u + 4 - 0. Suppose 2*a - 2 = u. Suppose -6*z**5 + 11*z**3 + z - 4*z**4 + 4*z**a - 3*z**3 - 3*z = 0. What is z?
-1, 0, 1/3, 1
Let w(c) be the first derivative of -c**6/5 - 26*c**5/25 - 11*c**4/5 - 12*c**3/5 - 7*c**2/5 - 2*c/5 + 33. Factor w(x).
-2*(x + 1)**4*(3*x + 1)/5
Let m be (8/(-14))/(4/(-14)). Find x, given that x**4 + 8*x**3 - m*x**4 - 6*x**3 - x**2 = 0.
0, 1
Let b(z) = 9*z**2 + 62*z - 60. Let a(w) = -2*w**2 - 12*w + 12. Let x(r) = 11*a(r) + 2*b(r). Factor x(k).
-4*(k - 1)*(k + 3)
Let x(q) be the third derivative of q**8/1008 - q**7/630 - q**6/72 + q**5/180 + q**4/9 + 2*q**3/9 - 15*q**2. Let x(w) = 0. Calculate w.
-1, 2
Let a = -1181 + 157071/133. Let f = a - -276/665. Solve -2/5*p + f*p**2 + 0 = 0 for p.
0, 1
Suppose -2*h + 0*h + 4*m = 16, 3*h + 5*m - 31 = 0. Let j = h - -2. Factor -l**5 + 10 + l**3 + l**j - 10 - l**2.
-l**2*(l - 1)**2*(l + 1)
Let k(b) be the first derivative of -b**4/12 - 2*b**3/3 - 2*b**2 + 4*b - 2. Let n(p) be the first derivative of k(p). What is o in n(o) = 0?
-2
Let t = 740/7 + -1011/14. Let d = -33 + t. Determine i so that d*i**2 - 1/2 + 0*i = 0.
-1, 1
Let c(l) be the third derivative of l**5/60 - l**4/12 + l**3/6 - 30*l**2. Factor c(z).
(z - 1)**2
Let a(c) be the second derivative of -c**6/70 - 3*c**5/140 + c**4/28 + c**3/14 + 13*c. Let a(i) = 0. Calculate i.
-1, 0, 1
Let l(t) = -t**2 + 14*t + 18. Let k be l(15). Let v(x) be the first derivative of 3 + 2/3*x + 7/9*x**k - 3/2*x**2. Factor v(h).
(h - 1)*(7*h - 2)/3
Let d(m) be the first derivative of -3*m**5/25 - 9*m**4/20 + m**3/5 + 9*m**2/10 - 27. Solve d(t) = 0.
-3, -1, 0, 1
Find t, given that 1/7*t**4 - 1/7*t**2 - 1/7*t**3 + 1/7*t + 0 = 0.
-1, 0, 1
Let l be -3 + ((-32)/48 - (-254)/66). Factor 4/11*s**3 - 2/11*s - 2/11 - 2/11*s**4 - l*s**5 + 4/11*s**2.
-2*(s - 1)**2*(s + 1)**3/11
Suppose -5*s - 4*g = -10, -3*s + g + 6 = -0*g. Factor 85*b**2 - 8*b**4 - s*b**3 - 85*b**2.
-2*b**3*(4*b + 1)
Let o(q) be the first derivative of q**4/20 + 4*q**3/15 - q**2/2 + 2. Let o(c) = 0. Calculate c.
-5, 0, 1
Let m(x) be the first derivative of 4*x**5/5 - x**4/2 - 4*x**3 - x**2 + 4*x + 32. Factor m(o).
2*(o - 2)*(o + 1)**2*(2*o - 1)
Let r(d) be the third derivative of -d**8/840 + d**6/90 - d**4/12 - d**3/3 + 3*d**2. Let j(w) be the first derivative of r(w). Find a such that j(a) = 0.
-1, 1
Let p(o) be the second derivative of o**6/10 + 9*o**5/20 + o**4/2 + 9*o. Determine b so that p(b) = 0.
-2, -1, 0
Let a be (-8)/(-6)*(-4)/(-8). Let b(v) be the first derivative of 2 + 4*v - 3*v**2 + a*v**3. Solve b(k) = 0.
1, 2
Let o be (-64)/(-140) + (-4)/(-10). Let m(l) = l**2 - 9*l + 5. Let f be m(9). Factor 8/7*i**4 - 2/7*i**3 + 0*i + 0 - o*i**f + 0*i**2.
-2*i**3*(i - 1)*(3*i - 1)/7
Let h = -54608/55 - -993. Let i = h + 3/11. Factor i*k**3 - 2/5*k - 2/5*k**2 + 2/5.
2*(k - 1)**2*(k + 1)/5
Let x = -27 + 29. Factor 1/5*t**5 + 1/5 - 2/5*t**x + 1/5*t**4 - 2/5*t**3 + 1/5*t.
(t - 1)**2*(t + 1)**3/5
Let a = 182944152 + -568590411215/3108. Let i = a + 2/777. Factor -11/4*u**2 + 5/4*u**5 - i*u**4 + 1/2*u + 21/4*u**3 + 0.
u*(u - 1)**3*(5*u - 2)/4
Suppose 4 + 36 = -4*r. Let w(z) = z**3 - z. Let o(m) = -m**4 - 4*m**3 + 5*m. Let j(h) = r*w(h) - 2*o(h). Factor j(y).
2*y**3*(y - 1)
Let v(w) be the first derivative of -3*w**4/10 + 28*w**3/5 - 15*w**2 + 72*w/5 - 70. Factor v(n).
-6*(n - 12)*(n - 1)**2/5
Factor 21/2*g + 3/2 + 33/2*g**2 + 15/2*g**3.
3*(g + 1)**2*(5*g + 1)/2
Let p(i) be the second derivative of -i**7/12600 + i**6/1800 - i**5/600 - 5*i**4/12 - 3*i. Let r(j) be the third derivative of p(j). Let r(l) = 0. Calculate l.
1
Let w be 0 + 7/(-14)*(-2)/2. Factor 3/4*d**2 - w*d**3 + 0*d - 1/4.
-(d - 1)**2*(2*d + 1)/4
Factor 1/4 - 1/2*d + 1/4*d**2.
(d - 1)**2/4
Suppose -4*a + 1 = -7. Let r(i) be the second derivative of i - 4/3*i**a - 8/9*i**3 + 0 - 1/30*i**5 - 5/18*i**4. Let r(v) = 0. What is v?
-2, -1
Let v be (-4)/10 - (-187)/55. Let s(z) be the third derivative of 1/120*z**5 + 0*z + z**2 + 0 - 1/24*z**4 + 1/12*z**v. Factor s(h).
(h - 1)**2/2
Let d(o) = 2*o**5 + 5*o**4 + 3*o**3 - 5*o**2 - 7*o - 3. Let x = 4 - 3. Let r(q) = q**4 + q**3 + q**2 + q + 1. Let y(c) = x*r(c) + d(c). Factor y(m).
2*(m - 1)*(m + 1)**4
Let d(i) be the second derivative of -i**6/1260 - i**5/420 + i**4/42 - i**3/3 + 3*i. Let r(z) be the second derivative of d(z). Find s such that r(s) = 0.
-2, 1
Let h(s) be the third derivative of s**5/30 + s**4/3 + s**2. Let y(j) = -4*j - j + 5 - j**2 - 5. Let r(d) = -5*h(d) - 8*y(d). Factor r(b).
-2*b**2
Suppose 5*s + 6 = -s. Let f be (-7)/(-3) + 0 + s. Factor -f*d + 1/3*d**2 + 4/3.
(d - 2)**2/3
Suppose 4*q - 30 = -r + 3*r, -3*r - 29 = -4*q. Let v = q - 6. Factor 6 + 6 + 2*o**v + 9 - 12*o - 3.
2*(o - 3)**2
Suppose w = 5*w + 8, -5*w - 13 = -h. Suppose 3*s + 6 = h*m, 37 = 6*s - 2*s + 5*m. Factor -4*p**3 - 4*p**3 + 6*p**s + p**2 + p**3 - p**4 + p.
-p*(p - 1)*(p + 1)**2
Suppose 0 = -2*q - 10, 8*n - 30 = 3*n + 4*q. Factor -2/11*f**3 + 0 + 0*f + 2/11*f**n.
-2*f**2*(f - 1)/11
Let z = 544487/124 + -4391. Let i = z - -221/1116. Find q such that -2/9*q**3 + 2/9*q + i - 2/9*q**2 = 0.
-1, 1
Let f(l) = -l**3 - 2*l**2 - 2*l - 1. Suppose -18*k = -20*k - 2. Let v be f(k). Factor 0*t**4 + v + 4/3*t**3 - 2/3*t**5 + 0*t**2 - 2/3*t.
-2*t*(t - 1)**2*(t + 1)**2/3
Let t(a) be the second derivative of -a**6/180 + a**5/30 + a**3/6 + 5*a. Let g(l) be the second derivative of t(l). Factor g(o).
-2*o*(o - 2)
Let c = 5 - 2. Factor -2*m**2 + 4*m**2 + 3 - c*m**2 - 1 - m.
-(m - 1)*(m + 2)
Suppose 4*x - 6 = x. Suppose c = x*c. Find g, given that 2*g**4 + 2*g + c*g**3 + 3*g**2 - 2*g**3 - 5*g**2 = 0.
-1, 0, 1
Factor -26*k**4 - 22*k**4 - 120*k**3 - 51*k**2 - 89*k + 83*k.
-3*k*(k + 2)*(4*k + 1)**2
Let z(y) be the second derivative of y**7/42 - y**6/30 - 3*y**5/20 - y**2/2 + 6*y. Let c(n) = -n**4 - n**3 - n - 1. Let f(w) = 2*c(w) - 2*z(w). Factor f(u).
-2*u*(u - 1)**2*(u + 1)**2
Let m be (-8)/10 + (-6012)/(-6890). Let g = 12/53 - m. Factor 2/13*q + 0 - g*q**2.
-2*q*(q - 1)/13
Suppose 3*i**2 + i**3 + 0*i**3 - 6*i + 2*i**3 + 0*i**3 = 0. What is i?
-2, 0, 1
Let t(f) be the first derivative of -1/4*f**4 + f**2 + 2*f + 1/10*f**5 - 1/2*f**3 - 2. Factor t(g).
(g - 2)**2*(g + 1)**2/2
Let r(y) = -y + 6. Let v be r(4). Let k(b) be the second derivative of -1/12*b**4 + b + 0 + 1/3*b**3 - 1/2*b**v. Factor k(i).
-(i - 1)**2
Let x(f) be the first derivative of -75*f**3/2 - 15*f**2 - 2*f - 3. What is r in x(r) = 0?
-2/15
Let m(n) be the first derivative of 5*n**6/36 + n**5/2 - 5*n**4/4 - 25*n**3/9 + 35*n**2/4 - 15*n/2 + 4. Factor m(s).
5*(s - 1)**3*(s + 3)**2/6
Solve 0*d + 0 - 2/9*d**2 + 2/9*d**3 = 0.
0, 1
Let x(l) = 3*l**2 - 5*l + 2. Let w be x(5). Let u be (-4)/(-26) + 5/w. Factor -1/2*n + 0 - u*n**2.
-n*(n + 2)/4
Let l(u) be the first derivative of -u**6/420 + u**5/210 - u**3/3 - 1. Let i(m) be the third derivative of l(m). Factor i(d).
-2*d*(3*d - 2)/7
Let l = 66 + -64. Factor 1/5*i**l + 0 + 1/5*i.
i*(i + 1)/5
Let x(c) be the third derivative of c**6/180 - c**5/90 - c**4/36 + c**3/9 + 2*c**2. Solve x(i) = 0 for i.
-1, 1
Let a(d) be the third derivative of 5*d**8/336 + d**7/63 - d**6/72 - 2*d**2. Find q, given that a(q) = 0.
-1, 0, 1/3
Let l(c) be the third derivative of c**6/150 - 2*c**5/75 + c**4/30 + 10*c**2. Find k, given that l(k) = 0.
0, 1
Let d(s) be the third derivative of 9*s**8/560 - 3*s**7/50 - s**6/50 + 16*s**5/75 - 8*s**3/15 - 22*s**2. Suppose d(o) = 0. What is o?
-2/3, 2/3, 1, 2
Let v(o) = o + 10. Let r be v(-6). Let z(m) be the first derivative of -1/4*m - 1/8*m**2 - 3 - 1/20*m**5 - 1/24*m**6 + 1/8*m**r + 1/6*m**3. Factor z(t).
-(t - 1)**2*(t + 1)**3/4
Let -8/7*h**2 + 12/7*h - 12/7*h**3 + 8/7 = 0. What is h?
-1, -2/3, 1
Suppose 2*x + 3*t - 5 = 0, 11 = 3*x - 3*t - 4. Let u(p) = -p**3 + 6*p**2 + 2. Let b be u(6). Find l such that x*l**3 + 6 - 4 - b*l**4 - 4*l + 0 = 0.
-1, 1
Let g be (2 - (-5)/(-5) - 1)*-1. Factor g - 2/9*i**2 + 4/9*i**3 + 2/9*i**4 - 4/9*i.
2*i*(i - 1)*(i + 1)*(i + 2)/9
Suppose -4/13 + 18/13*q - 14