-1, -2/5, 5
Factor -2/15*p**5 + 0 + 2/15*p**3 + 0*p**4 + 0*p**2 + 0*p.
-2*p**3*(p - 1)*(p + 1)/15
Let g(a) = -a**5 + a**4 - a**2 + a. Let t(o) = -3*o**5 + 2*o**4 + o**3 - 2*o**2 + 2*o. Let i be (1 + 0)/(2/12). Let c(u) = i*g(u) - 3*t(u). Factor c(f).
3*f**3*(f - 1)*(f + 1)
Let l(x) be the third derivative of -x**10/50400 + x**8/3360 - x**6/240 - x**5/12 + 3*x**2. Let a(z) be the third derivative of l(z). Let a(s) = 0. What is s?
-1, 1
Let q(l) = -l**3 + 2*l**2 - 2*l - 3. Let b be q(-1). Find m, given that 0 - 14/3*m**4 + 8*m**3 - 2*m**b - 4/3*m = 0.
-2/7, 0, 1
Let t(k) = -3*k**2 - 2*k - 1. Let g(u) = u**2 + 1. Suppose 0 = 2*c - 0 + 2. Let i(q) = c*g(q) - t(q). Factor i(r).
2*r*(r + 1)
Let z = 10 + -7. Suppose 0*u - 3*u = 0. Factor i**3 + i**z - i**2 + u*i**4 - i**4.
-i**2*(i - 1)**2
Suppose -3*i - 2*i + 3*s - 12 = 0, 4*s - 16 = -3*i. Let y(o) be the second derivative of o + i*o**2 + 1/60*o**4 + 0 - 1/30*o**3. Find v, given that y(v) = 0.
0, 1
Let y(w) be the first derivative of -2*w**3/21 - 2*w**2/7 + 8. Factor y(r).
-2*r*(r + 2)/7
Factor 12/5*m**2 - 12/5 - 9*m.
3*(m - 4)*(4*m + 1)/5
Solve -1/3*s**4 + 1/3 + 0*s**2 - 2/3*s + 2/3*s**3 = 0 for s.
-1, 1
Let u(g) be the first derivative of 7*g**4 + 96*g**3 - 114*g**2 - 88*g + 44. Factor u(h).
4*(h - 1)*(h + 11)*(7*h + 2)
Let s(a) be the third derivative of 0 - 1/210*a**7 + 0*a**3 - 1/20*a**5 - 1/40*a**6 - 1/24*a**4 - 7*a**2 + 0*a. Factor s(r).
-r*(r + 1)**3
Let w(l) = -l**5 - 3*l**4 + l**3 - 3*l**2 + 3*l. Let c(a) = 3*a**5 + 8*a**4 - 3*a**3 + 8*a**2 - 8*a. Let v = -15 - -23. Let t(j) = v*w(j) + 3*c(j). Factor t(r).
r**3*(r - 1)*(r + 1)
Let s be ((-644)/(-49))/((-255)/(-7)). Let c = s - -2/51. Factor c*r + 0*r**2 + 0 - 2/5*r**3.
-2*r*(r - 1)*(r + 1)/5
Let u be 8/(-10)*20/(-8). Solve 4*r**5 - 2*r**2 + u*r + 2*r**4 - 6*r**3 - 2*r + 2*r**5 = 0 for r.
-1, -1/3, 0, 1
Let b(j) = 11*j**2 + 13*j + 17. Let y(i) = -39*i**2 - 45*i - 60. Let m(t) = -18*b(t) - 5*y(t). Factor m(q).
-3*(q + 1)*(q + 2)
Let k(h) be the first derivative of 4*h**5/15 - 2*h**4/3 + 4*h**3/9 - 7. Suppose k(j) = 0. What is j?
0, 1
Let t(r) be the third derivative of 3*r**6/10 + 89*r**5/60 + 3*r**4/2 + 2*r**3/3 + 37*r**2. What is k in t(k) = 0?
-2, -1/4, -2/9
Let r(w) be the third derivative of -1/240*w**6 + 1/6*w**3 - w**2 + 1/48*w**4 + 0 + 0*w - 1/60*w**5. Find t such that r(t) = 0.
-2, -1, 1
Let b(p) be the third derivative of -p**5/12 - 5*p**4/12 - 5*p**3/6 + 37*p**2. Factor b(x).
-5*(x + 1)**2
Let h = 8 - 6. Factor -3*t**4 + 6*t**2 - 3*t + 6*t**2 - 9*t**h + 3*t**3.
-3*t*(t - 1)**2*(t + 1)
Let p(m) be the third derivative of 0 + 2*m**2 + 0*m**4 + 0*m**3 + 0*m - 1/270*m**5. Solve p(b) = 0 for b.
0
Factor 2/5*s**4 - 2/5*s**2 + 0*s + 0 - 2/5*s**3 + 2/5*s**5.
2*s**2*(s - 1)*(s + 1)**2/5
Find c such that c - 4*c + 2*c**3 + 0*c**3 - 5*c - 16 + 4*c**2 = 0.
-2, 2
Solve -140*c**2 - 16 + 10*c**3 + 70*c**3 + 152*c**2 - 96*c**2 - 80*c + 100*c**4 = 0.
-1, -2/5, 1
Factor 5*z**3 + 40*z**2 + 105*z - 55 + 73 + 72.
5*(z + 2)*(z + 3)**2
Let o(z) be the second derivative of -z**6/60 + z**2/2 + 2*z. Let t(j) be the first derivative of o(j). Let t(b) = 0. What is b?
0
Let f(r) = 2*r**2 - 4*r + 8. Let l = 8 - 12. Let p(c) = c. Suppose -4*m + 1 = -3. Let x(u) = l*p(u) + m*f(u). Factor x(z).
2*(z - 2)**2
Let v be 56/6*2/40. Let l(t) be the first derivative of 8/3*t**2 + 4/3*t - 2 - 4/3*t**4 + 1/3*t**3 - v*t**5. Suppose l(j) = 0. What is j?
-2, -1, -2/7, 1
Factor 4/7*w**4 + 8/7 - 20/7*w**3 - 4*w + 36/7*w**2.
4*(w - 2)*(w - 1)**3/7
Factor 0*r**2 + 1 + 3/2*r - 1/2*r**3.
-(r - 2)*(r + 1)**2/2
Suppose -3 = -2*d - 17. Let b(o) = -o**2 - 7*o + 3. Let w be b(d). Solve 4*f**w + 0*f**3 - f**5 - f - 2*f**3 = 0 for f.
-1, 0, 1
Suppose 0 = -4*w + 1 + 7. Let m(v) = -v**3 + v**2 - 1. Let r(u) = -10*u**3 + 11*u**2 + 5*u - 9. Let y(c) = w*r(c) - 14*m(c). Factor y(o).
-2*(o - 2)*(o + 1)*(3*o - 1)
Let s(k) be the second derivative of k**5/90 - k**4/18 + k**3/9 - k**2/2 - 4*k. Let a(n) be the first derivative of s(n). Factor a(r).
2*(r - 1)**2/3
Let 136*f**5 - 20*f**2 + 24 - 2*f**3 + 8*f**4 + 8*f - 8 - 138*f**5 = 0. Calculate f.
-1, 2
Let s(m) = 2*m - m + 0*m - 2. Let g be s(6). Suppose 18*v**5 + 0*v**4 + 2*v**2 - 10*v**3 + 3*v**g + 3*v**4 = 0. Calculate v.
-1, 0, 1/3
Let u(z) be the first derivative of -1 + 0*z**3 + 2*z - 1/4*z**4 + 3/2*z**2. Factor u(s).
-(s - 2)*(s + 1)**2
Let w(i) = -i**3 - 6*i**2 - i - 6. Suppose -3*j - 24 = 2*c + 3*c, -2*j + 34 = -5*c. Let k be w(c). Factor 98/3*l**5 + 4/3*l**2 + 12*l**3 + 0*l + k + 35*l**4.
l**2*(2*l + 1)*(7*l + 2)**2/3
Let o(t) be the first derivative of -1/4*t**4 + 1/5*t**5 + 2 + 0*t + 0*t**2 + 1/9*t**3 - 1/18*t**6. Suppose o(r) = 0. What is r?
0, 1
Let o be ((-4)/(-3))/(100/375). Let 0*c + 1/7*c**3 - 1/7*c**2 + 0 - 1/7*c**o + 1/7*c**4 = 0. What is c?
-1, 0, 1
Let r(o) be the third derivative of 7*o**5/60 - o**4/12 - 5*o**2. Suppose r(u) = 0. Calculate u.
0, 2/7
Let s(z) be the second derivative of -3*z**5/10 - 11*z**4/12 - z**3 - z**2/2 + 21*z. Let s(x) = 0. Calculate x.
-1, -1/2, -1/3
Let v(y) be the third derivative of y**8/560 - y**7/120 - y**6/60 + y**5/10 + y**4/3 + 5*y**3/6 + 5*y**2. Let r(j) be the first derivative of v(j). Factor r(i).
(i - 2)**2*(i + 1)*(3*i + 2)
Suppose -t + 3*t = -6. Let z be 0/(0 + (-6)/t). Solve z*m - 1/2*m**2 + 7/4*m**4 - 5/4*m**3 + 0 = 0 for m.
-2/7, 0, 1
Let c(w) be the first derivative of 21*w**6 + 363*w**5/5 + 159*w**4/4 - 54*w**3 - 30*w**2 + 24*w + 2. Solve c(l) = 0 for l.
-2, -1, -2/3, 2/7, 1/2
Let i = -9/8 + 43/24. Let j be 0*(3 + (-8)/3). Factor -i*z**5 + 0 + 4/3*z**2 + j*z**3 + 2/3*z - 4/3*z**4.
-2*z*(z - 1)*(z + 1)**3/3
Let g(r) = r**3 + 3*r**2 - 9*r - 10. Let j(t) = -t**2. Let m(c) = g(c) - 3*j(c). Let d be m(-7). Let -14*x - x**d + 14*x + x**2 = 0. What is x?
-1, 0, 1
Find w such that -4/15 - 2/15*w**2 - 2/5*w = 0.
-2, -1
Let c be ((-28)/(-56))/(2 - 1). Solve 3/2 - 2*p - c*p**4 + 2*p**3 - p**2 = 0 for p.
-1, 1, 3
Let h be ((-3)/9)/((-3)/(-18))*-2. Factor 0*k + 1/3*k**h + 0*k**2 + 1/3*k**3 + 0.
k**3*(k + 1)/3
Let h be 2 + ((-2)/6 - 5/3). Suppose -4/7*i**2 + h*i + 2/7 + 2/7*i**4 + 0*i**3 = 0. What is i?
-1, 1
Let i(q) be the second derivative of q**7/210 - q**5/60 + 7*q**2/2 + 5*q. Let y(h) be the first derivative of i(h). Factor y(t).
t**2*(t - 1)*(t + 1)
Solve -20*u - 2*u - 91*u**2 - 14*u + 95*u**2 = 0.
0, 9
Solve 4*i**4 + 0 + 0*i + 8/7*i**2 + 36/7*i**3 = 0.
-1, -2/7, 0
Let l(a) be the second derivative of a**7/126 + a**6/10 + 23*a**5/60 + 7*a**4/36 - 4*a**3/3 - 8*a**2/3 - 41*a. Find x, given that l(x) = 0.
-4, -1, 1
Let h(v) be the second derivative of -v**5/140 + v**4/84 + v**3/42 - v**2/14 - 29*v. Suppose h(j) = 0. What is j?
-1, 1
Let h(b) = b + 12. Let f be h(-10). Let 0*x + x + x + x**3 - 3*x**f = 0. Calculate x.
0, 1, 2
Let c be 1*(-8)/12*-732. Let g = c + -6338/13. Let -2/13*l**3 - 4/13 + g*l + 0*l**2 = 0. What is l?
-2, 1
Let p(z) = 4*z + 5. Let x(y) = y + 1. Let i(f) = p(f) - 5*x(f). Let d be i(-2). Factor -4*k**2 - 2*k + 5*k**d - 3*k**2.
-2*k*(k + 1)
Let m = -553/5 - -111. Determine f so that -m*f**3 + 0 + 4/5*f**2 + 0*f - 2/5*f**4 = 0.
-2, 0, 1
Suppose -3*r = -3*r + 2*r. Let z(j) be the third derivative of -1/132*j**4 + 1/330*j**5 + r*j + 0 + 1/660*j**6 + j**2 - 1/33*j**3. Solve z(s) = 0 for s.
-1, 1
Let q be 1/2*(19 + 1). Let n = -10 + q. Solve 1/4*s**2 + n - 1/4*s = 0 for s.
0, 1
Suppose 0*t + 2/15*t**2 + 2/15*t**3 + 0 = 0. Calculate t.
-1, 0
Let n(a) be the third derivative of a**6/900 - a**5/450 - 8*a**2. Factor n(l).
2*l**2*(l - 1)/15
Determine o so that -4/3*o**2 + 0 + 4/3*o**3 - 8/3*o = 0.
-1, 0, 2
Let p(w) = 8 - w**3 - w - 10*w**3 + 3 + 7*w**2 + 2*w**3. Let q(s) = -4*s**3 + 3*s**2 + 5. Let z(o) = 3*p(o) - 7*q(o). Solve z(n) = 0 for n.
-1, 2
Let q(l) = -2*l - 2. Let z be q(-1). Let r(d) be the first derivative of 0*d**3 + 2 + 1/10*d**4 + 4/25*d**5 + 1/15*d**6 + 0*d + z*d**2. Factor r(v).
2*v**3*(v + 1)**2/5
Let h(g) be the third derivative of -g**8/84 + 6*g**7/35 - g**6 + 46*g**5/15 - 11*g**4/2 + 6*g**3 - 5*g**2. Determine t, given that h(t) = 0.
1, 3
Let t be ((-63)/(-102) + 2/(-17))*0. Factor t*u - 2/3*u**2 + 2/3.
-2*(u - 1)*(u + 1)/3
Let 0 + 2/11*z**3 + 1/11*z**4 - 1/11*z**2 - 2/11*z = 0. Calculate z.
-2, -1, 0, 1
Suppose -3*c + 3*f + 18 = 0, c + c - 4 = -2*f. Factor 