 Let q(v) = -4*s(v) - 11*t(v). Suppose q(l) = 0. Calculate l.
6
Suppose -o = 5*z + 3, -o = -4*z - 3 - 3. Solve 3*h**o - 6*h**3 + 4*h**4 - h**2 + 2*h**5 + 2*h**4 - 4*h**5 = 0.
0, 1
Let b be 46/(-156) + (5 - (-84)/(-18)). Let d(o) be the first derivative of -2/65*o**5 + 0*o**2 - b*o**4 + 2 + 0*o + 0*o**3. What is r in d(r) = 0?
-1, 0
Let w(y) be the first derivative of -y**4/4 + 2*y**3/3 + 2*y**2 - 3*y - 4. Let k be w(3). Find g such that 0 - 1/3*g**3 + k*g + 1/3*g**2 = 0.
0, 1
Find m, given that 2/5*m**4 + 36/5*m**2 + 14/5*m**3 + 8*m + 16/5 = 0.
-2, -1
Suppose 2*s - 4*s + 6 = 0. Let m be -2*s/6 - -1. Factor 2*g - 3*g + g**5 - 2*g**2 + m*g**2 + 2*g**4.
g*(g - 1)*(g + 1)**3
Factor b**3 + 0*b + 0 + 0*b**2 - 1/4*b**5 + 0*b**4.
-b**3*(b - 2)*(b + 2)/4
Let w(b) be the second derivative of -1/4*b**4 - 6*b + b**3 + 0*b**2 + 0 - 9/20*b**5. Let w(c) = 0. Calculate c.
-1, 0, 2/3
Let z(o) be the third derivative of -o**5/330 - o**4/22 - 3*o**3/11 - 2*o**2. Suppose z(m) = 0. Calculate m.
-3
Let i = 126999/7 - 18083. Let k = 60 - i. Determine l so that 2/7*l - 2/7*l**3 + 2/7*l**2 - k*l**4 + 0 = 0.
-1, 0, 1
Determine z so that 4/7 - 4/7*z**3 + 4/7*z - 4/7*z**2 = 0.
-1, 1
Let i(x) be the second derivative of -x**7/1260 - x**6/180 - x**5/60 - x**4/4 - 2*x. Let r(q) be the third derivative of i(q). Suppose r(l) = 0. Calculate l.
-1
Let p(d) be the first derivative of -d**5/90 - d**4/36 + 2*d**3/9 + 3*d**2/2 - 4. Let o(z) be the second derivative of p(z). Suppose o(i) = 0. What is i?
-2, 1
Let n(g) = -g + 5 - 2*g + 25*g**2 - 7*g**2 + 19*g**3 + 7*g. Let k(v) = -10*v**3 - 9*v**2 - 2*v - 3. Let d = -26 + 16. Let u(c) = d*k(c) - 6*n(c). Factor u(s).
-2*s*(s + 1)*(7*s + 2)
Let s(i) be the third derivative of -i**8/168 - 7*i**2. Factor s(x).
-2*x**5
Let b be (-3)/(-2) + (-2)/4. Suppose -2*d + b = -7. Determine h, given that -2*h - 2*h**3 + d*h**2 + 9*h**3 + 8*h**4 + 7*h**3 = 0.
-1, 0, 1/4
Let n(w) be the first derivative of w**6/30 - w**4/6 + w**2 - 2. Let c(q) be the second derivative of n(q). Factor c(i).
4*i*(i - 1)*(i + 1)
Solve 1/5*z**2 + 0 + 2/5*z = 0 for z.
-2, 0
Let c(t) be the third derivative of -t**7/1260 + t**5/60 - t**4/24 - t**2. Let u(y) be the second derivative of c(y). Factor u(p).
-2*(p - 1)*(p + 1)
Let f(t) = -2*t**2 - 11*t + 5. Let s(n) = 2*n**2 + 10*n - 4. Let y(q) = 6*f(q) + 7*s(q). Factor y(r).
2*(r + 1)**2
Let m = 14 - 56. Let p be (12/m)/((-9)/21). Factor p + w + 1/3*w**2.
(w + 1)*(w + 2)/3
Factor 43*o**2 - 2*o + 3*o + 3*o - 39*o**2.
4*o*(o + 1)
Let o(s) be the third derivative of s**6/480 - s**5/120 + s**4/96 - 6*s**2. Let o(k) = 0. What is k?
0, 1
Let b be (12/9)/(2/3). Factor -5*l**4 - l**2 + 2*l**2 - 4*l**2 + 3*l**3 - l + 4*l**b + 2*l**5.
l*(l - 1)**3*(2*l + 1)
Factor -1/4*i + 1/4*i**3 + 0 + 0*i**2.
i*(i - 1)*(i + 1)/4
Let l(j) be the third derivative of -j**5/240 + j**4/12 - 2*j**3/3 - 10*j**2. Find u such that l(u) = 0.
4
Let l = 20 + -24. Let t be (-5)/l + 4/(-4). Determine y, given that 1/4*y - 1/4*y**3 + 1/4*y**2 + 0 - t*y**4 = 0.
-1, 0, 1
Let u(q) be the first derivative of q**6/3 - 6*q**5/5 + q**4/2 + 2*q**3 - 2*q**2 - 2. Factor u(i).
2*i*(i - 2)*(i - 1)**2*(i + 1)
Let h(b) be the third derivative of b**7/245 - b**6/35 - 3*b**5/70 + 9*b**4/14 - 14*b**2. Determine t so that h(t) = 0.
-2, 0, 3
Find p such that 2/3*p**2 - 2/9*p**3 - 8/9 + 0*p = 0.
-1, 2
Let m(b) = -b**2 + 14*b + 6. Let o be m(14). Let g(v) be the third derivative of 1/60*v**o + 0*v + 1/15*v**5 + 1/12*v**4 + 0*v**3 + 0 - 2*v**2. Factor g(s).
2*s*(s + 1)**2
Let g(p) be the first derivative of 1/2*p**2 - 1/3*p**3 + 0*p - 3. Factor g(d).
-d*(d - 1)
Let v be 3/7 + 1/(7/25). Let u(i) be the first derivative of 0*i - 1 + 1/4*i**2 + 1/8*i**v - 1/3*i**3. Factor u(l).
l*(l - 1)**2/2
Suppose 0 = 12*g - 33 - 15. Let r(h) be the first derivative of 5/4*h**6 - 3*h - 5*h**3 + 3/2*h**g + 18/5*h**5 + 1 - 27/4*h**2. Determine n so that r(n) = 0.
-1, -2/5, 1
Factor -288/5*p + 194/5*p**2 - 36/5*p**3 + 2/5*p**4 + 128/5.
2*(p - 8)**2*(p - 1)**2/5
Suppose -y + 3*y = -4, 3*j - 19 = 5*y. Suppose -x = s, s + 2*x = 1 - j. Determine q so that -1/2 + 1/2*q**s + 0*q = 0.
-1, 1
Let k(m) = 3*m**2 + 1. Let j be k(-1). Let o(f) be the second derivative of 1/20*f**5 + 0*f**2 - 1/3*f**3 - 1/12*f**j - f + 0. Determine y, given that o(y) = 0.
-1, 0, 2
Let v be (2 - (-2 - 0)) + -2. Let z = -2/5 - -16/15. Solve -z - 2/3*q**v + 4/3*q = 0.
1
Let x(v) be the first derivative of -3*v**5/5 + 3*v**4/4 + 2*v**3 + 12. Solve x(i) = 0.
-1, 0, 2
Let k(d) = 3*d**2 - 6*d - 18. Let h(j) = 3*j**2 - 6*j - 19. Let q(r) = -6*h(r) + 5*k(r). Factor q(o).
-3*(o - 4)*(o + 2)
Let n(u) be the third derivative of u**5/300 - u**4/30 - 48*u**2. Factor n(d).
d*(d - 4)/5
Let w(z) be the first derivative of z**7/105 - z**6/24 + z**5/20 + z**4/24 - z**3/6 - 3*z**2/2 - 3. Let p(o) be the second derivative of w(o). Factor p(x).
(x - 1)**3*(2*x + 1)
Let d(k) be the third derivative of -k**8/84 + 2*k**7/35 + k**6/30 - 11*k**5/15 + 2*k**4 - 8*k**3/3 - 6*k**2. Solve d(r) = 0 for r.
-2, 1, 2
Solve -8*s**5 + 14*s - 14*s + s**4 - 2 + 29*s**4 + 20*s**2 - 40*s**3 = 0.
-1/4, 1
Suppose 5*d - 9 = 1. Determine y, given that 3/4*y**d + 3/4*y**5 - 3/4*y**4 + 0*y - 3/4*y**3 + 0 = 0.
-1, 0, 1
Factor -34*x**2 + 12*x + 39*x**3 - 14*x**4 + 3*x**5 - 2*x**2 - 4*x**4.
3*x*(x - 2)**2*(x - 1)**2
Factor 27*s**2 + 16*s + 11*s**2 + 4*s**3 - 58*s**2.
4*s*(s - 4)*(s - 1)
Let t(i) = -i**2. Let l(h) = 5*h**2 - 3*h - 6. Let n(m) = l(m) + 2*t(m). Factor n(y).
3*(y - 2)*(y + 1)
Suppose 4*z - 237 + 237 = 0. Determine l so that -2/5*l**3 + 2/5*l + z + 0*l**2 = 0.
-1, 0, 1
Let v(c) be the third derivative of c**8/80640 + c**7/10080 + c**6/2880 - c**5/15 - 3*c**2. Let q(d) be the third derivative of v(d). Factor q(t).
(t + 1)**2/4
Let f(d) be the first derivative of d**4/36 - d**3/6 - 4*d - 6. Let t(u) be the first derivative of f(u). Suppose t(b) = 0. Calculate b.
0, 3
Determine s, given that -2/11 - 2/11*s**3 + 2/11*s**2 + 2/11*s = 0.
-1, 1
Let z(n) be the third derivative of 9*n**2 - 1/210*n**5 + 0 + 0*n + 0*n**3 - 1/84*n**4. Factor z(y).
-2*y*(y + 1)/7
Let v(i) be the third derivative of 0 + 0*i**3 + 1/945*i**7 + 1/270*i**5 + 1/270*i**6 + 0*i**4 - i**2 + 0*i. Factor v(r).
2*r**2*(r + 1)**2/9
Let j(d) = 6*d**4 + 9*d**3 - 8*d**2 + 17*d + 2. Let c(g) = 3*g**4 + 4*g**3 - 4*g**2 + 8*g + 1. Let b(w) = -13*c(w) + 6*j(w). Determine i so that b(i) = 0.
-1, -1/3, 1
Let s be -5 - -3 - (-184)/(-48). Let i = s + 13/2. Factor i + 0*k**2 - 4/3*k**3 - 2/3*k**4 + 4/3*k.
-2*(k - 1)*(k + 1)**3/3
Let g = 24 + -44. Let p be g/(-12)*(-1)/(-5). Let -j + p*j**2 + 2/3 = 0. What is j?
1, 2
Let o(x) be the third derivative of 5*x**8/2016 + x**7/252 - x**6/72 - 15*x**2. Factor o(p).
5*p**3*(p - 1)*(p + 2)/6
Let a be (-59)/7 + 3 - (-2 - 4). Find v, given that -6/7*v**2 - a - 2*v = 0.
-2, -1/3
Let h(a) be the third derivative of -4*a**2 + 0 + 1/32*a**4 + 0*a - 1/240*a**5 - 1/12*a**3. Suppose h(n) = 0. What is n?
1, 2
Let h(l) = -3*l**2 + 23*l - 10. Let a be h(7). Suppose g**5 - 1/3*g + 0 + 2*g**3 - 8/3*g**a + 0*g**2 = 0. Calculate g.
-1/3, 0, 1
Let q(c) = 3*c**2 - 17*c + 12. Let g(w) = -80*w**2 + 460*w - 325. Let y(o) = -2*g(o) - 55*q(o). Find z such that y(z) = 0.
1, 2
Let u be 2/3*(-9)/(-25). Let g = 4/25 + u. Factor 2/5*z**3 + 0 + 0*z + g*z**2.
2*z**2*(z + 1)/5
Find d such that d**3 - 2*d**3 + 3*d - 2*d**3 = 0.
-1, 0, 1
Let t(q) = -2*q**3 + 3*q**2 - 7 + q**3 + 3 + 2*q + 0*q. Let i be t(3). Factor 22/5*j**i + j**3 + 28/5*j + 8/5.
(j + 2)**2*(5*j + 2)/5
Let p be -10*5/((-100)/12). Let s(v) be the first derivative of -p*v**3 + 1/2*v**4 + 4 - 54*v + 27*v**2. Determine f, given that s(f) = 0.
3
Let c(b) = -3*b - 3. Let p be c(-2). Solve 0*z**3 + 3 + 2*z - 2*z**p - 4 + z**4 = 0 for z.
-1, 1
Let b(p) be the second derivative of -p**6/10 + 9*p**5/10 - 13*p**4/4 + 6*p**3 - 6*p**2 - 5*p. Factor b(z).
-3*(z - 2)**2*(z - 1)**2
Suppose a - 3 = 2. Determine k so that 3*k**5 - 7*k**a - 4*k**2 + 6*k**4 + 6*k**2 - 4*k**2 = 0.
-1/2, 0, 1
Let f(o) = -12*o**4 - 166*o**3 + 252*o**2 - 298*o + 122. Let s(x) = x**4 + 15*x**3 - 23*x**2 + 27*x - 11. Let n(a) = 6*f(a) + 68*s(a). Factor n(z).
-4*(z - 2)**2*(z - 1)**2
Suppose -7 = -3*l - 1. Solve -7*d**l + 3*d**2 - 1 + 3*d**2 - 2*d = 0.
-1
Let i(o) be the first derivative of 