15/4*p - 3/4*p**3 - 3*p**k.
-3*(p + 1)**2*(p + 2)/4
Suppose -4*t - 3*v = t - 24, 5*t - 20 = -5*v. Let a = -4 + t. Factor 0 - 2/11*n - 2/11*n**a.
-2*n*(n + 1)/11
Let k(y) be the first derivative of 1/3*y**6 - 8 + 8*y**3 + 13/2*y**4 + 4*y**2 + 12/5*y**5 + 0*y. Factor k(n).
2*n*(n + 1)**2*(n + 2)**2
Let a = 137/18 - 15/2. Let z(c) be the first derivative of -3 - 1/3*c - 1/3*c**2 - a*c**3. Suppose z(t) = 0. Calculate t.
-1
Let m(c) be the first derivative of -2*c**5/55 + 4*c**3/33 - 2*c/11 - 10. Find i, given that m(i) = 0.
-1, 1
Find v such that 4/3*v**3 + 4/3*v**2 + 1/3*v**4 + 0 + 0*v = 0.
-2, 0
Let x = -28 + 46. Let m be 2/10 + x/10. Factor -3*q**2 + q**3 - 2*q**4 + m*q**3 + q + q**4.
-q*(q - 1)**3
Suppose x + x = 0. Suppose -30 = -5*u + 2*n + 2*n, -4*n - 28 = -4*u. Let x*w**2 + 2*w**2 - 3*w**2 - 12*w**3 + 10*w**5 + w**4 + u*w = 0. What is w?
-1, -1/2, 0, 2/5, 1
Let f be (-64)/(-160) + 13/5. Factor 2/3*n**f + 2/3*n - 4/3*n**2 + 0.
2*n*(n - 1)**2/3
Solve -g + 0*g - 4*g**2 + 16 - 4*g - 7*g = 0 for g.
-4, 1
Let j(d) = -44*d**5 - 36*d**4 + 10*d**2 + 18*d - 26. Let p(h) = 5*h**5 + 4*h**4 - h**2 - 2*h + 3. Let w(q) = -6*j(q) - 52*p(q). Factor w(i).
4*i*(i - 1)*(i + 1)**3
Let k(u) be the first derivative of -5*u**4/4 - 10*u**3/3 + 5*u**2/2 + 10*u + 13. Factor k(h).
-5*(h - 1)*(h + 1)*(h + 2)
Let c(z) = 9*z + 1. Let j be c(2). Suppose 6*p - j = -2*v + p, 4*v + 5*p - 23 = 0. Factor x**3 + 10*x**v - 8*x**2 - x - x**4 - x**2.
-x*(x - 1)**2*(x + 1)
Let f be 5 - (-3 - 6/(-2)). Suppose -2*q**3 - 5*q - 2*q + f*q - q**2 - 3*q**2 = 0. Calculate q.
-1, 0
Suppose -18/7*p**3 + 0 + 0*p**2 + 0*p - 12/7*p**4 + 6/7*p**5 = 0. What is p?
-1, 0, 3
Let i(o) = -4*o**4 - 2*o**3. Let a(q) = -5*q**4 - 3*q**3. Let c be 0*2/(-4) - 3. Let k(z) = c*i(z) + 2*a(z). Factor k(t).
2*t**4
Let h(n) be the third derivative of -n**6/600 + n**5/100 + n**4/120 - n**3/10 + 3*n**2. Factor h(k).
-(k - 3)*(k - 1)*(k + 1)/5
Let n(i) = -2*i**4 - 14*i**3 + 14*i**2 - 8*i + 5. Let k(f) = -f**4 - f**3 + f**2 - f + 1. Let g(s) = -5*k(s) + n(s). Find x such that g(x) = 0.
0, 1
Let b(c) be the third derivative of c**7/210 - c**6/120 + 17*c**2. Factor b(d).
d**3*(d - 1)
Suppose -5*c + 5 = 5*u, -3*c - 5*u = -0*c + 1. Let b be c*(-4 + (-114)/(-27)). Factor -2/3*z**4 + 0*z**2 + 0 + 0*z - b*z**5 + 0*z**3.
-2*z**4*(z + 1)/3
Let h(z) be the third derivative of z**8/560 - 3*z**7/350 - z**6/40 + 27*z**5/100 - 4*z**4/5 + 6*z**3/5 + 37*z**2. Determine p so that h(p) = 0.
-3, 1, 2
Let d(o) = 4*o**2 - 1. Let h(p) = -11*p**2 + 3. Let v(y) = 8*d(y) + 3*h(y). Solve v(q) = 0 for q.
-1, 1
Let s(y) be the third derivative of -y**6/540 + y**5/180 + y**3/3 - 2*y**2. Let o(g) be the first derivative of s(g). Factor o(q).
-2*q*(q - 1)/3
Let g be 84/35 - (-4)/(-10). Let d(v) be the first derivative of -2*v - v**g + 1/2*v**4 + 2/3*v**3 + 1. Determine q, given that d(q) = 0.
-1, 1
Determine l, given that 0 + 6/5*l - 3/5*l**2 - 6/5*l**3 + 3/5*l**4 = 0.
-1, 0, 1, 2
Let z(v) be the first derivative of -v**6/18 + 2*v**5/15 + v**4/12 - 2*v**3/9 - 22. Solve z(c) = 0 for c.
-1, 0, 1, 2
Let a(j) be the first derivative of j**8/1344 - j**7/420 + j**5/120 - j**4/96 + 9*j**2/2 + 8. Let v(t) be the second derivative of a(t). Factor v(r).
r*(r - 1)**3*(r + 1)/4
Let v(g) be the third derivative of g**10/529200 - g**9/211680 + g**5/20 + 2*g**2. Let l(q) be the third derivative of v(q). Factor l(a).
2*a**3*(a - 1)/7
Factor 0 - 7/3*u**4 - 8/3*u - 20/3*u**2 + 26/3*u**3.
-u*(u - 2)**2*(7*u + 2)/3
Suppose 227*q**2 - 220*q**2 + q**5 - 3*q**5 + 2*q - q**4 + 6*q**3 = 0. What is q?
-1, -1/2, 0, 2
Let c(s) = -s**2 + 3*s + 4. Let b be c(4). Let g = b - -2. Factor -2*j**2 - 1/2 - g*j.
-(2*j + 1)**2/2
Suppose 21*q = 20*q + 6. Let h(a) be the third derivative of -1/300*a**5 + 0*a + 0*a**3 + 0*a**4 + 0 + 0*a**q + 1/1050*a**7 + a**2. Factor h(m).
m**2*(m - 1)*(m + 1)/5
Let k(s) be the third derivative of -s**7/525 - s**6/75 - s**5/50 + s**4/15 + 4*s**3/15 - 5*s**2. Solve k(v) = 0 for v.
-2, -1, 1
Suppose 18 - 3 = 3*u. Let m be 2 + 0 + -1 + 2. Factor -3*i**3 + 7 + u*i**m - 4*i**2 + 2*i - 7.
2*i*(i - 1)**2
Let w(r) be the third derivative of 0*r + 1/180*r**5 + 0*r**3 + 0*r**4 + 0 + 3*r**2. Determine a, given that w(a) = 0.
0
Let d = 1472/3 + -482. Factor d*w**3 + 14/3*w + 8/3*w**4 + 10*w**2 + 2/3.
2*(w + 1)**3*(4*w + 1)/3
Let a(q) be the second derivative of q**5/90 + q**4/36 + 3*q**2/2 + 5*q. Let p(i) be the first derivative of a(i). Find u such that p(u) = 0.
-1, 0
Let d(b) be the third derivative of -b**9/1008 - b**8/560 + 2*b**3/3 - 3*b**2. Let l(r) be the first derivative of d(r). Factor l(o).
-3*o**4*(o + 1)
Let b(h) be the second derivative of -h**7/56 + h**6/20 + 3*h**5/40 - h**4/2 + 7*h**3/8 - 3*h**2/4 - 13*h. Determine w so that b(w) = 0.
-2, 1
Let j(x) be the first derivative of 2*x**3/3 + x**2 - 45. Solve j(v) = 0 for v.
-1, 0
Suppose -2*i + 3*i + 4 = 0. Let s be 6/i - 50/(-28). Factor 0 + 0*l - s*l**2.
-2*l**2/7
Let r(x) = 4*x**2 + 8*x. Let w(i) = -4*i**2 - 7*i. Let p(a) = -5*r(a) - 6*w(a). Let p(y) = 0. Calculate y.
-1/2, 0
Let u(w) = w**3 + w**2 - 1. Let i(a) = 4*a**3 - 3*a + 4. Let h(o) = -2*i(o) + 10*u(o). Factor h(f).
2*(f - 1)*(f + 3)**2
Let r = 26/9 - 124/45. Factor 0*j**2 + 0*j - r*j**5 + 0 + 4/15*j**4 - 2/15*j**3.
-2*j**3*(j - 1)**2/15
Let d = -80 + 173/2. Let w(r) be the first derivative of -d*r**2 - 8/3*r**6 + 3 + 8/3*r**3 + 8/5*r**5 + 47/4*r**4 + 2*r. Let w(z) = 0. Calculate z.
-1, 1/4, 2
Let s(l) be the first derivative of 3*l**5/20 + l**4/4 - l**3/6 - l**2/2 - l/4 + 1. Find t such that s(t) = 0.
-1, -1/3, 1
Factor 101 - 6*x - 99 + 5*x + x**3 - 2*x**2.
(x - 2)*(x - 1)*(x + 1)
Let u = -12 - -14. Let z be 1/((-3)/6) + u. Factor -2/9*s**3 + 0 + z*s**2 + 2/9*s.
-2*s*(s - 1)*(s + 1)/9
Suppose 0 = 4*f + 5*i + 7, 0 = -3*f - i + 5*i + 18. Determine b, given that -4*b**2 - f*b**2 + 0*b**2 + 2*b = 0.
0, 1/3
Let x(g) be the second derivative of -g**2 - 7/6*g**3 - 3*g - 5/12*g**4 + 0. Determine u, given that x(u) = 0.
-1, -2/5
Let w(n) be the first derivative of -n**6/14 + 3*n**5/35 + 3*n**4/28 - n**3/7 + 10. Factor w(z).
-3*z**2*(z - 1)**2*(z + 1)/7
Let c(v) be the third derivative of v**8/84 + 4*v**7/35 + 7*v**6/15 + 16*v**5/15 + 3*v**4/2 + 4*v**3/3 - 23*v**2. Find z such that c(z) = 0.
-2, -1
Solve 56*g**4 - 4 - 6*g - g**3 - g**3 - 62*g**4 + 18*g**2 = 0.
-2, -1/3, 1
Factor -6*d**4 - 3*d**4 + 5*d**4 + 4*d**2.
-4*d**2*(d - 1)*(d + 1)
Let p(a) = 6*a**4 - 9*a**3 + 6*a**2 + a - 4. Let f(m) = 3*m**4 - 5*m**3 + 3*m**2 + m - 2. Let s(o) = -5*f(o) + 2*p(o). Factor s(x).
-(x - 1)**3*(3*x + 2)
Suppose -4*j + 12 = 4*z, 2*j = -0*z + 2*z + 2. Let q(f) = -2*f - 7. Let y be q(-5). Find s such that 2*s**2 - y*s**5 + 4*s**5 - j*s**4 + s - 2*s**5 = 0.
-1, 0, 1
Let a(n) be the first derivative of -n**4/12 - n**3/3 - n**2/2 - n/3 - 18. Factor a(k).
-(k + 1)**3/3
Let o = -473/4 + 119. Factor -o*w**3 + 0 + 0*w + 3/4*w**2.
-3*w**2*(w - 1)/4
Let t = -4 - -10. Factor -t - 44*d - 39*d**2 + 2 - 79*d**2 - 3*d**2.
-(11*d + 2)**2
Let r(t) be the third derivative of -t**7/315 - t**6/90 + t**4/18 + t**3/9 - 4*t**2. Solve r(u) = 0.
-1, 1
Suppose 0*o - 3*o + 9 = 0. Let n be (-8)/(-6) + -1 + (-3)/9. Factor n + 0*c - 2/3*c**4 - 2/3*c**2 - 4/3*c**o.
-2*c**2*(c + 1)**2/3
Let k(s) be the first derivative of 5 + 0*s**2 + 0*s + 1/12*s**4 - 1/9*s**3. Suppose k(z) = 0. What is z?
0, 1
Let y = 5 + -3. Suppose 2*i + y*i**2 + 6*i**3 - 2*i**2 + 2 - 8*i**3 - 2*i**2 = 0. Calculate i.
-1, 1
Let v(o) be the second derivative of -o**4/36 - 6*o. Factor v(u).
-u**2/3
Let l(b) be the second derivative of 5*b**4/12 + 5*b**3/2 + 10*b. Factor l(c).
5*c*(c + 3)
Let j be 47/329 + 1 + 12/(-14). Factor -2/7*p**2 - 2/7*p + 2/7*p**3 + 0 + j*p**4.
2*p*(p - 1)*(p + 1)**2/7
Let g(m) be the third derivative of -3*m**2 - 1/24*m**4 + 0*m**3 + 0*m - 1/240*m**6 + 0 + 1/40*m**5. Factor g(u).
-u*(u - 2)*(u - 1)/2
Let p = -158 + 1108/7. Let o(c) be the first derivative of 6/7*c**2 + p*c + 2/21*c**3 + 2 + 32/35*c**5 - 12/7*c**4. Solve o(j) = 0.
-1/4, 1
Let l(h) be the second derivative of h**7/105 - h**5/50 + 6*h. Find n, given that l(n) = 0.
-1, 0, 1
Factor -37 - 12*a**2 + 33 + 6*a**3 - a**2 - a**4 + 12*a.
-(a - 2)**2*(a - 1)**2
Let r = -16 + 21. Let w(n) = -286*n**2 + 176*n - 16. Let l(q) = 191*q**2 - 117*q + 11.