 0*q**2 + 0 + 0*q**3 - 4*q - 1/20*q**5 + 1/36*q**4 + 1/30*q**6 - 1/126*q**7. Find l such that p(l) = 0.
0, 1
Determine x so that -225*x**2 + 8*x**4 + 37*x**4 - 23*x**2 - 172*x**2 - 360*x - 5*x**5 - 10*x**3 = 0.
-2, -1, 0, 6
Let v = -1/2228 + 75773/46788. Let t = -4/3 + v. Factor 2/7*x**2 + t - 4/7*x.
2*(x - 1)**2/7
Let l be 2 + (-1 - -2 - 1)/1. Suppose 1/3*s**4 - l*s**3 + 3*s**2 + 0 + 0*s = 0. What is s?
0, 3
Suppose 0*d = d - 4*i - 4, 0 = -3*d - 4*i + 12. Suppose 0*f - 1/3*f**d + 1/3*f**5 + 0 + 1/3*f**2 - 1/3*f**3 = 0. Calculate f.
-1, 0, 1
Let v(y) be the third derivative of 2*y**7/105 + 3*y**6/20 + 7*y**5/15 + 3*y**4/4 + 2*y**3/3 + y**2. Factor v(q).
2*(q + 1)**2*(q + 2)*(2*q + 1)
Let x be (-22)/77*7/(-20). Let p(l) be the second derivative of 0 + 0*l**2 - x*l**5 + 1/9*l**3 - l + 1/36*l**4. Factor p(u).
-u*(2*u + 1)*(3*u - 2)/3
Let k be 3*(0 + -2)/(-2). Let g = k + -3. Factor 4 - 3 + g - f**2.
-(f - 1)*(f + 1)
Find w such that 50*w**2 - 4 + 2 + 9*w - 53*w**2 - 4 = 0.
1, 2
Let b(v) be the first derivative of 0*v + 0*v**2 + 1/16*v**4 + 1/240*v**6 + 2 - 1/3*v**3 + 1/40*v**5. Let w(n) be the third derivative of b(n). Factor w(s).
3*(s + 1)**2/2
Suppose -2 + 8 = 3*f. Factor -f*j**2 + 8 + j - 4 + j.
-2*(j - 2)*(j + 1)
Let u(k) be the first derivative of -18/5*k**2 - 3/20*k**4 + 5 + 6/5*k**3 + 24/5*k. Determine v so that u(v) = 0.
2
Let h(b) = -2*b**2 + 20*b - 16. Let v be h(9). Factor 0 - 3/4*n**3 - 1/4*n**4 + 0*n - 1/2*n**v.
-n**2*(n + 1)*(n + 2)/4
Let s(o) = o**5 + 3*o**3 - 4*o**2 - 3*o - 3. Let f(d) = 2*d**5 + d**4 + 6*d**3 - 9*d**2 - 7*d - 7. Let t(a) = -3*f(a) + 7*s(a). Let t(h) = 0. Calculate h.
0, 1
Suppose 0*p - p + 19 = 4*w, 5*p + 10 = w. Let x = 9 - w. Factor 2/5*z + 0 + 6/5*z**2 + 2/5*z**x + 6/5*z**3.
2*z*(z + 1)**3/5
Let f(h) be the second derivative of h**7/14 + h**6/10 - 3*h**5/10 - h**4/2 + h**3/2 + 3*h**2/2 + 17*h. Factor f(i).
3*(i - 1)**2*(i + 1)**3
Let q(t) be the third derivative of t**8/504 - t**7/105 + t**6/90 - 18*t**2. Factor q(r).
2*r**3*(r - 2)*(r - 1)/3
Let r be 7 - (1 + -2)*-3. Let t(a) be the third derivative of -1/105*a**5 + 2*a**2 + 2/21*a**3 + 0 + 1/28*a**r - 1/140*a**6 + 0*a. Suppose t(o) = 0. What is o?
-1, -2/3, 1
Let v be ((-1)/1 - -2) + 2. Suppose 2*w - 5*s + 10 = 3*w, 17 = v*w + 2*s. Factor i**3 + 0*i**5 + 5*i**w + 7*i**4 + i**3.
i**3*(i + 1)*(5*i + 2)
Factor 22/3*p**2 + 32/9*p - 8/9.
2*(3*p + 2)*(11*p - 2)/9
Suppose 0 = z + 3*o + 15, 2*o + 20 = -5*z - 2*o. Let f = z - -3. Factor 0 + 2/7*y**2 + 0*y - 4/7*y**f.
-2*y**2*(2*y - 1)/7
Let c(x) = -x**3 + 5*x**2 - 2*x - 6. Let t be c(4). Let o(v) be the first derivative of 1 + 0*v**t + 1/3*v**3 - v. Factor o(m).
(m - 1)*(m + 1)
Factor 7/5*h**2 - 4/5 + 12/5*h.
(h + 2)*(7*h - 2)/5
Let o(m) be the second derivative of m**4/6 + m**3/3 - 2*m**2 - 14*m. Solve o(w) = 0.
-2, 1
Let s(f) be the first derivative of -f**6/80 + f**2 - 4. Let l(b) be the second derivative of s(b). Find p, given that l(p) = 0.
0
Let m(q) be the second derivative of 1/210*q**5 - 1/42*q**4 - 2*q + 0 + 1/21*q**3 - q**2. Let w(z) be the first derivative of m(z). Let w(x) = 0. What is x?
1
Factor p - 5*p**2 + 0*p - 5*p + 3*p**2.
-2*p*(p + 2)
Let n(u) be the first derivative of u**7/21 - 2*u**6/15 + 3*u - 2. Let f(i) be the first derivative of n(i). Determine q so that f(q) = 0.
0, 2
Let a(w) be the first derivative of -w**6/600 + w**5/200 + w**4/20 - 4*w**3/3 - 5. Let v(u) be the third derivative of a(u). Factor v(l).
-3*(l - 2)*(l + 1)/5
Let d(y) be the third derivative of -y**6/60 + y**5/10 - y**4/4 + y**3/3 + 8*y**2. Suppose d(l) = 0. What is l?
1
Let m = -6 + 8. Factor m*o**5 - 2*o**3 + 0*o**4 - o**4 + o**5.
o**3*(o - 1)*(3*o + 2)
Factor 9*z**2 - 9*z**3 - 6 + z**2 + 3*z + 2*z**2.
-3*(z - 1)**2*(3*z + 2)
Suppose 0 + 2/3*x + 1/3*x**2 = 0. Calculate x.
-2, 0
Let y(a) be the third derivative of -a**6/30 - a**5/15 + a**4/6 + 2*a**3/3 - a**2. Factor y(h).
-4*(h - 1)*(h + 1)**2
Factor -2/9*s**3 + 0 + 2/9*s**2 - 4/9*s**4 + 0*s.
-2*s**2*(s + 1)*(2*s - 1)/9
Let a(j) be the second derivative of 1/330*j**5 + 0*j**3 + 3*j + 0 + 3/2*j**2 - 1/132*j**4. Let f(n) be the first derivative of a(n). Factor f(s).
2*s*(s - 1)/11
Let n be (-8)/(-28) - (-4)/(-14). Let k = n - -4. Determine l so that -3*l + l**k + 3*l = 0.
0
Find h such that 29*h**3 + 10*h**4 - 5*h**5 - 10*h**2 + 3*h - 29*h**3 + 2*h = 0.
-1, 0, 1
Let i(h) be the first derivative of 4/3*h**3 + 0*h - 4 - 1/3*h**6 - 4/5*h**5 + 0*h**4 + h**2. Let i(r) = 0. Calculate r.
-1, 0, 1
Suppose 4*b - 2*b - 60 = 0. Let h = b - 148/5. Solve -h*r**3 - 4/5*r**4 + 0 - 2/5*r**5 + 0*r + 0*r**2 = 0 for r.
-1, 0
Factor 9*p**2 - 2*p**2 - 12*p - 8*p**2 - 9 - 2*p**2.
-3*(p + 1)*(p + 3)
Factor -d + 10*d**2 + 3*d + 2*d**3 + 4*d - 2*d**4.
-2*d*(d - 3)*(d + 1)**2
Let m(l) = l**3 - 10*l**2 + 15*l + 9. Let x be m(8). Factor 1/2*f - x + 1/2*f**2.
(f - 1)*(f + 2)/2
Suppose -1 = -2*j - 13. Let x(t) = -t**3 - 6*t**2 + t + 6. Let q be x(j). Factor -1/4*u**3 + q*u + 1/4*u**2 + 0.
-u**2*(u - 1)/4
Let b be (4 - (2 - 0)) + 2. Factor -1/2*j + 0 - 3/4*j**b + j**3 + 1/4*j**2.
-j*(j - 1)**2*(3*j + 2)/4
Let -1/2*n**2 + 0 - 1/2*n = 0. Calculate n.
-1, 0
Let y(l) = l + 19. Let f be y(-11). Factor 0*i**2 - 2*i - 4*i**2 + f*i**2 - 2*i**3.
-2*i*(i - 1)**2
Let j = -9 + 12. Factor -15*w**2 - 2*w**j + 8*w**3 + 7*w**4 - 6*w + 8*w**4.
3*w*(w - 1)*(w + 1)*(5*w + 2)
Let k = -51 + 53. Let m(v) be the second derivative of 0*v**k + 1/63*v**7 - 1/45*v**6 + 0 - 1/30*v**5 + 0*v**3 - v + 1/18*v**4. Factor m(u).
2*u**2*(u - 1)**2*(u + 1)/3
Determine b so that 0*b**3 - b**3 - 10578*b**4 + 10577*b**4 = 0.
-1, 0
Let f(r) = r**3 - r. Let a(d) = -3*d**3 - d**2 + 4*d. Let v(p) = p**2 + p - 1. Let t be v(0). Let c(b) = t*a(b) - 4*f(b). What is u in c(u) = 0?
0, 1
Let w(h) = -5*h**2 - 6*h - 5. Suppose 2*g + 0 = -3*n + 2, -5*n + 6 = 2*g. Let v(b) = -n*b**2 - 2*b - 4 - 2*b**2 - 3*b. Let t(s) = -4*v(s) + 3*w(s). Factor t(m).
(m + 1)**2
Let j be (-36)/(-24)*4/21. Let p(h) = h**3 - 6*h**2 + h - 3. Let c be p(6). Factor -2/7*y + 2/7*y**c + 2/7*y**2 - j.
2*(y - 1)*(y + 1)**2/7
Let m(j) be the third derivative of -j**7/70 + 3*j**6/40 - 3*j**5/20 + j**4/8 - 4*j**2. Solve m(d) = 0 for d.
0, 1
Let p be 11 - 6 - 205/45. What is o in 2/9 + p*o + 2/9*o**2 = 0?
-1
Let t(c) be the second derivative of -c**7/27 + 2*c**6/135 + 13*c. Factor t(f).
-2*f**4*(7*f - 2)/9
Suppose -7*u = -4*u - 3. Let d be (9 + -8)*0/u. What is h in 2/5*h - 2/5*h**2 + d = 0?
0, 1
Factor 0*u**3 - 1/5*u**5 + 1/5*u - 2/5*u**2 + 2/5*u**4 + 0.
-u*(u - 1)**3*(u + 1)/5
Let v be ((-10)/12)/((-90)/72). Suppose 1/3*o**2 - 1 - v*o = 0. Calculate o.
-1, 3
Let q = 81 - 81. Let g(r) be the second derivative of -1/12*r**3 - r + 1/24*r**4 + 0 + 1/20*r**5 + q*r**2. Factor g(j).
j*(j + 1)*(2*j - 1)/2
Let w(d) be the second derivative of -2*d**6/45 - 2*d**5/5 - d**4 - 8*d**3/9 + 2*d. Factor w(o).
-4*o*(o + 1)**2*(o + 4)/3
Let a = 19/3912 - -6/163. Let r(l) be the second derivative of -a*l**3 + 0 + 0*l**2 - 1/48*l**4 + 2*l. Find g such that r(g) = 0.
-1, 0
Suppose 2*k - x + 0*x - 12 = 0, -5*k + 27 = -x. Solve -4*g**3 + 10*g**4 + 4 + 2*g**3 - 3*g - 3*g**4 - 21*g**2 - k*g = 0.
-1, 2/7, 2
Let -d**4 + 1/2*d**2 + 0*d + 0 - 1/4*d**3 + 3/4*d**5 = 0. What is d?
-2/3, 0, 1
Let d(m) be the third derivative of -m**8/336 + m**7/30 - 19*m**6/120 + 5*m**5/12 - 2*m**4/3 + 2*m**3/3 + 7*m**2. Let d(j) = 0. What is j?
1, 2
Let y(u) be the third derivative of -u**8/1680 + u**7/350 - u**6/600 - u**5/100 + u**4/60 + 16*u**2. Let y(p) = 0. Calculate p.
-1, 0, 1, 2
Suppose 14 = 3*i - 4*n, 5*i + 4 = 4*n + 22. Solve -2/3 - 20/3*p**i + 2/3*p**5 + 10/3*p + 20/3*p**3 - 10/3*p**4 = 0 for p.
1
What is p in 2*p + 2/3*p**2 + 4/3 = 0?
-2, -1
Let f = 55/81 - 1/81. Factor -f*v - 2/3*v**2 + 4/3.
-2*(v - 1)*(v + 2)/3
Let h(q) be the second derivative of -q**7/21 - 4*q**6/15 - q**5/2 - q**4/3 + q. Factor h(o).
-2*o**2*(o + 1)**2*(o + 2)
Let z = -18/23 + 141/92. Let b(i) be the second derivative of 2*i + 0 + z*i**2 - 1/8*i**4 + 0*i**3. Factor b(x).
-3*(x - 1)*(x + 1)/2
Let q(u) be the second derivative of 1/60*u**4 + 0 - 2*u - 1/5*u**2 - 1/30*u**3. Factor q(l).
(l - 2)*(l + 1)/5
Let o(l) be the first derivative of -4/9*l**3 + l + 11/6*l**2 - 2. Find t, given that o(t) = 0.
-1/4, 3
Let y(v) = -17*v**2 - 11*v - 1. Let w(d) = 