.
-1, 1
Let i(l) be the first derivative of 1/5*l**3 + 1/10*l**2 + 3/20*l**4 + 0*l - 1 + 1/25*l**5. Solve i(f) = 0 for f.
-1, 0
Suppose 3*q + 2*s - 21 = 5*s, 5*q = -2*s. Let b(x) be the second derivative of 0*x**4 + 3*x + 0 - 1/20*x**5 + 0*x**q + 1/6*x**3. Let b(y) = 0. What is y?
-1, 0, 1
Let m(f) be the second derivative of -3*f + 1/9*f**2 + 0 + 2/27*f**3 + 1/54*f**4. Determine n, given that m(n) = 0.
-1
Let z = -64/5 - -14. Let o(r) = -2*r - 4. Let m be o(-4). Find n such that 8/5*n**m - z*n**2 - 2/5 + 2*n**3 - 2*n = 0.
-1, -1/4, 1
Let z(v) be the first derivative of -1/75*v**5 - 3/2*v**2 + 0*v**3 + 1/600*v**6 + 0*v + 1/30*v**4 + 3. Let g(k) be the second derivative of z(k). Factor g(s).
s*(s - 2)**2/5
Find h such that 3/7*h**2 + 0*h + 3/7*h**5 - 3/7*h**4 + 0 - 3/7*h**3 = 0.
-1, 0, 1
Let p(a) = a + 6. Let f be p(-4). Let o(j) be the second derivative of -1/3*j**3 + 0 - 1/6*j**4 + f*j**2 + j. Factor o(h).
-2*(h - 1)*(h + 2)
Factor 0 - 1/4*x**3 - 1/2*x**2 - 1/4*x.
-x*(x + 1)**2/4
Let z(o) be the second derivative of -5*o**4/4 - 6*o**3 - 6*o**2 + 14*o. Factor z(h).
-3*(h + 2)*(5*h + 2)
Let s(x) = -x**2 + 7*x - 4. Suppose -i - 5*o - 19 = 0, -4*o + 15 = -5*i + 65. Let n be s(i). Factor 9 + n*k**3 - k**4 - 9 - k**2.
-k**2*(k - 1)**2
Factor 5 - 5/2*p - 5*p**3 - 25/2*p**2.
-5*(p + 1)*(p + 2)*(2*p - 1)/2
Let k = 5 - 3. Factor 11*b**2 - 9*b**k - 2*b - 4*b**2.
-2*b*(b + 1)
Let m(x) be the third derivative of -x**6/60 + x**5/30 + 6*x**2. Factor m(i).
-2*i**2*(i - 1)
Let i(s) = -2*s**4 + 2*s**3 + 2*s**2 - 6*s - 2. Let k(c) = -4*c**4 + 3*c**3 + 4*c**2 - 13*c - 5. Let w(t) = -10*i(t) + 4*k(t). Factor w(v).
4*v*(v - 2)*(v - 1)*(v + 1)
Suppose -6 = -4*s - 6. Let r(x) be the third derivative of -2*x**2 + 0*x**4 + 0*x**3 - 2/105*x**7 + 0*x + 0*x**5 - 1/168*x**8 - 1/60*x**6 + s. Factor r(b).
-2*b**3*(b + 1)**2
Let v(q) be the second derivative of -q**7/63 + q**5/15 - q**3/9 + 2*q. Suppose v(w) = 0. What is w?
-1, 0, 1
Let x(p) = -7*p**2 - 24*p - 48. Let q(b) = 6*b**2 + 24*b + 48. Let k(u) = -4*q(u) - 3*x(u). Factor k(m).
-3*(m + 4)**2
Let j(a) be the second derivative of -a**6/150 - 3*a**5/100 - a**4/20 - a**3/30 - 9*a. Factor j(z).
-z*(z + 1)**3/5
Let z(i) be the third derivative of -i**6/180 - i**5/45 - i**4/36 - i**2. Factor z(j).
-2*j*(j + 1)**2/3
Let m(k) be the second derivative of 3*k**5/25 - 2*k**4/15 - 14*k**3/15 - 4*k**2/5 - 14*k. Find l such that m(l) = 0.
-1, -1/3, 2
Let b(q) be the second derivative of -q**5/4 + 10*q**4/3 - 20*q. Determine r so that b(r) = 0.
0, 8
Suppose -4*c - 5*t = -2*c - 20, -13 = -3*c + t. Let m be c/((-60)/(-28)) + -2. Factor 0*l**2 + 1/3*l**4 + 0*l - m*l**3 + 0.
l**3*(l - 1)/3
Let l(v) be the second derivative of v**7/189 - v**6/135 - v**5/90 + v**4/54 - 49*v. Determine t so that l(t) = 0.
-1, 0, 1
Find l such that -20/3*l**2 - 6*l**3 - 1/3*l**5 - 8/3*l - 7/3*l**4 + 0 = 0.
-2, -1, 0
Let f be (1 + 0)/((-4)/28). Let s(t) = t**4 - 7*t**3 + 5*t**2 + 7*t - 6. Let c(l) = l**4 - 8*l**3 + 6*l**2 + 8*l - 7. Let j(m) = f*s(m) + 6*c(m). Factor j(x).
-x*(x - 1)**2*(x + 1)
Let o be 17/5 - (-2)/(-5). Suppose -16 = 2*i - 8*d + o*d, -5*i + 18 = 2*d. Determine t, given that 8*t**i - 1 + 0 + 4*t**4 + 1 - 10*t**3 - 2*t = 0.
0, 1/2, 1
Let l(t) = t**3 - 14*t**2 - 14*t - 11. Let c be l(15). Find y such that 2*y - 2/3*y**2 - 2*y**3 - 2/3 + 4/3*y**c = 0.
-1, 1/2, 1
Let q be (-36)/360*(-4 - 0). Suppose 0*r = -r + 5. Suppose -1/5*p**r + q*p**4 - 2/5*p**2 + 1/5*p + 0 + 0*p**3 = 0. Calculate p.
-1, 0, 1
Let r be (-26)/(-5) + 4/(-20). Let j = 9 - r. Factor 2/3*t**j + 0 + 2/9*t**5 + 2/9*t**2 + 2/3*t**3 + 0*t.
2*t**2*(t + 1)**3/9
Suppose 0 + 2/3*f**2 + 0*f - 7/3*f**3 = 0. What is f?
0, 2/7
Let y(i) be the third derivative of i**5/150 - 11*i**4/60 + 2*i**3/3 - 5*i**2. Factor y(n).
2*(n - 10)*(n - 1)/5
Suppose y - 2 = 1. Factor 2*o + 0*o**3 + o**3 + 2*o**2 - 3*o**y - 2 + 0*o**2.
-2*(o - 1)**2*(o + 1)
Suppose -5*q = -4*l - 24, -21 = -5*q - l - 2. Factor -4/3 + 4/3*v + 1/3*v**q - 4/3*v**3 + v**2.
(v - 2)**2*(v - 1)*(v + 1)/3
Let b be (-2)/(-2)*(-25)/(-5). Let o(p) be the second derivative of 0 - 1/9*p**3 - 1/30*p**b - 2*p + 1/9*p**4 + 0*p**2. Determine x, given that o(x) = 0.
0, 1
Let a(i) = -3*i**3 + 15*i**2 + 3*i - 15. Let z(n) = 6*n**3 - 31*n**2 - 6*n + 31. Let y(h) = 13*a(h) + 6*z(h). Factor y(o).
-3*(o - 3)*(o - 1)*(o + 1)
Let u(n) be the second derivative of 2*n**6/15 - 2*n**5 + 37*n**4/3 - 40*n**3 + 72*n**2 + 27*n. Find r, given that u(r) = 0.
2, 3
Let l(c) be the first derivative of 2*c**5/5 - 3*c**4/8 - c**3/6 - 6. Factor l(w).
w**2*(w - 1)*(4*w + 1)/2
Let c(n) = n**3 + 5*n**2 - 7*n - 6. Let q(j) = -j**2 + 2*j - 6. Let m be q(0). Let p be c(m). Suppose 1/3*g**3 + 0*g**2 + 0*g + p = 0. Calculate g.
0
Let k be 1/(-1*(-4)/16). Determine u, given that 1/5*u**k - 2/5 - 3/5*u**2 - 1/5*u**3 + u = 0.
-2, 1
Factor -2/7*i**2 + 2/7*i + 2/7*i**4 - 2/7*i**3 + 0.
2*i*(i - 1)**2*(i + 1)/7
Let c = 3321/3850 - 3/550. Find r, given that -20/7*r**3 + 26/7*r + 6/7 - 26/7*r**4 + 20/7*r**2 - c*r**5 = 0.
-3, -1, -1/3, 1
Let q = 5 + -5. Let p = 7 + -2. Factor 1/5*z**p - 2/5*z**3 + q + 1/5*z + 0*z**4 + 0*z**2.
z*(z - 1)**2*(z + 1)**2/5
Suppose -p - 10 = 4*p + 4*u, -5*p + 2*u = -20. Suppose 45*t = -11*t + 280. Factor 2/3*b**t + 0 + 0*b + 0*b**3 + 0*b**p + 2/3*b**4.
2*b**4*(b + 1)/3
Find t such that -22/5*t + 121/5 + 1/5*t**2 = 0.
11
Let p(z) be the third derivative of 0*z + 0*z**3 + 0 - 3/160*z**6 + 13/840*z**7 - 5/1344*z**8 - 1/240*z**5 + 2*z**2 + 1/48*z**4. Factor p(j).
-j*(j - 1)**3*(5*j + 2)/4
Let u(f) be the third derivative of 0 + 0*f - 1/12*f**4 - 1/3*f**3 - 1/120*f**6 + f**2 - 1/24*f**5. Let l(w) be the first derivative of u(w). Factor l(t).
-(t + 1)*(3*t + 2)
Let d(j) be the first derivative of 3*j**4/16 - j**3 + 15*j**2/8 - 3*j/2 - 21. Factor d(r).
3*(r - 2)*(r - 1)**2/4
Suppose -5*n - 25 = -2*t, 2*t - 6*t + n = -5. Factor 2*b**2 + b - b**3 - 3*b**2 + 0*b + b**4 + t*b**4.
b*(b - 1)**2*(b + 1)
Let y(d) = -2*d + 13. Let s be y(5). Let p(m) be the first derivative of 4/9*m - 1 - 2/27*m**s + 1/9*m**2. Factor p(r).
-2*(r - 2)*(r + 1)/9
Let r(u) be the third derivative of -u**2 + 1/350*u**7 + 0 + 0*u + 0*u**3 - 1/200*u**6 - 1/100*u**5 + 1/40*u**4. Determine b so that r(b) = 0.
-1, 0, 1
Let z(r) be the third derivative of 0*r - 1/3*r**3 + 1/100*r**5 - 1/900*r**6 + 0 + r**2 - 1/30*r**4. Let k(h) be the first derivative of z(h). Factor k(c).
-2*(c - 2)*(c - 1)/5
What is s in -1/5*s**5 - 6/5*s**4 - 2/5*s**2 - 11/5*s**3 + 12/5*s + 8/5 = 0?
-2, -1, 1
Let i be (-2)/6 - 120/(-9). Suppose -5*k = -i + 3. Factor 2 + 9 + k*v**2 - 3 + 8*v.
2*(v + 2)**2
Factor -12/5 + 2/5*q**3 - 12/5*q**2 + 22/5*q.
2*(q - 3)*(q - 2)*(q - 1)/5
Let g(r) be the second derivative of 1/6*r**4 + 1/15*r**6 + 0*r**2 + r + 1/5*r**5 + 0 + 0*r**3. Factor g(v).
2*v**2*(v + 1)**2
Let a be 1*(2/2 - 4). Let g be a/15 - (-33)/15. Determine h so that 0*h**g + 1/4*h**5 - 1/2*h**3 + 0*h**4 + 1/4*h + 0 = 0.
-1, 0, 1
Let h(a) be the second derivative of a**9/98280 - 5*a**4/12 + 5*a. Let i(x) be the third derivative of h(x). Factor i(b).
2*b**4/13
Let b be 7/(-42)*0/(-3). Factor -8/13*q**3 + 10/13*q**2 + 2/13*q**4 + b - 4/13*q.
2*q*(q - 2)*(q - 1)**2/13
Let a be 6/39*2/6. Let k = 8/13 + a. Solve -1/3*i + 0 - k*i**2 = 0 for i.
-1/2, 0
Let m = 34 - 71. Let l = 39 + m. Factor 3/2*g - 1 - 1/2*g**l.
-(g - 2)*(g - 1)/2
Suppose -1 = -i + 2. Determine u, given that 26 - 7*u**3 + 4*u**4 - 30 + 8*u + 2*u**3 - i*u**3 = 0.
-1, 1
Factor 2/7*z + 0 - 2/7*z**2.
-2*z*(z - 1)/7
Let p(b) be the third derivative of 0*b - b**2 - 1/360*b**6 + 0*b**4 + 0 + 0*b**3 - 1/180*b**5. Factor p(n).
-n**2*(n + 1)/3
Let j be 1 + (-115)/(-15) + 0 + -4. Factor -j*n**2 - 4/3*n - 10/3*n**3 + 0.
-2*n*(n + 1)*(5*n + 2)/3
Let z(q) = 2*q**3 + 5*q**3 - 6*q**2 + 4 - 3*q**2 + 2*q. Let p = 10 - 6. Let j(m) = -6*m**3 + 8*m**2 - 2*m - 3. Let b(i) = p*j(i) + 3*z(i). Factor b(h).
-h*(h - 1)*(3*h - 2)
Suppose 5*r + 4*l = 0, 4*r + 4*l - 2 = -6. Solve 2*f**5 + 2*f**r + 2*f**4 - 2*f**4 - 4*f**5 = 0.
0, 1
Let o(s) be the second derivative of s**6/40 - s**5/10 - s**4/8 + s**3 + s**2/2 - 2*s. Let u(t) be the first derivative of o(t). Factor u(q).
3*(q - 2)*(q - 1)*(q + 1)
What is h in -21/4*h**3 - 3/2 + 9*h**2 - 9/4*h = 0?
-2/7, 1
Let r = 47 - -101. Let g be r/28 + (-2)/7. 