71.
-2*m*(m - 2)*(m + 1)
Let p be ((-15)/9 - -1)*-6. Solve 6*r + 3*r**4 + 9*r**2 + 0*r**4 + 0*r**4 - 6*r**p = 0.
-1, 0, 2
Let v be (-2)/(33/(-27) - -1). Let n be 6/27 - (-34)/v. Factor 1 - n*a**2 - 1 - 2*a.
-2*a*(2*a + 1)
What is s in -5*s**4 - 2*s**2 + 7*s**4 + s**2 - s**2 = 0?
-1, 0, 1
Let r(x) be the first derivative of 0*x + 0*x**2 + 3 - 1/5*x**4 - 2/25*x**5 + 0*x**3. Factor r(k).
-2*k**3*(k + 2)/5
Suppose -3*v + 10 = -2. Suppose i = v*i. Factor c**2 + 0*c + i*c - c.
c*(c - 1)
Let l(p) = p + 5*p**2 - p**2 - 4*p**2 + 8 + p**3. Let k be l(0). Factor -4*a**3 - 12*a + 9*a**2 - a**4 - 12 + k*a**3 + 2*a**3 - 2*a**4.
-3*(a - 2)**2*(a + 1)**2
Let l(o) be the third derivative of 0*o + 0*o**4 - 1/60*o**5 + 0*o**3 - 2*o**2 + 0. Factor l(w).
-w**2
Let m(t) be the second derivative of t**10/120960 - t**8/13440 + t**6/2880 + t**4/6 - 4*t. Let x(o) be the third derivative of m(o). Factor x(g).
g*(g - 1)**2*(g + 1)**2/4
Let m(p) be the second derivative of 0*p**2 + 0*p**3 + 0 + 1/30*p**4 + 0*p**5 - 1/75*p**6 - 6*p. Factor m(u).
-2*u**2*(u - 1)*(u + 1)/5
Suppose 2/3*u**4 - 4 + 10/3*u**3 + 10/3*u**2 - 10/3*u = 0. What is u?
-3, -2, -1, 1
Let s(n) = n. Let z be s(5). Suppose z = 2*q - 3*h, -2*h - 10 = -q - 2*q. Let -2*y**5 + y**5 + 2*y**4 + 3*y**5 - q*y**4 = 0. What is y?
0, 1
Let z = -21 + 25. Let t(y) be the first derivative of -1/5*y**5 - y**3 - 3 + 3/4*y**z + 0*y + 1/2*y**2. What is p in t(p) = 0?
0, 1
Suppose -b + 2*z = -46, -3*z - z = 4*b - 136. Factor p**2 - b*p + 38*p - 4.
(p - 2)*(p + 2)
Let x(k) be the third derivative of k**5/20 - k**4/4 + k**3/2 - 2*k**2. Factor x(n).
3*(n - 1)**2
Factor 8*d**4 + 2*d**5 - 34*d + 0 - 4*d**2 - 5 + 8*d**3 + 1 + 24*d.
2*(d - 1)*(d + 1)**3*(d + 2)
Let x(r) be the third derivative of -1/12*r**3 - 1/16*r**4 + 2*r**2 + 0 - 1/240*r**6 + 0*r - 1/40*r**5. Factor x(w).
-(w + 1)**3/2
Let j(a) be the third derivative of -a**7/2520 - a**6/720 + a**5/60 - a**4/12 + 2*a**2. Let k(g) be the second derivative of j(g). Find v, given that k(v) = 0.
-2, 1
Let l(m) be the third derivative of -m**5/12 + 5*m**4/12 + 5*m**3/2 - 7*m**2. Let l(t) = 0. What is t?
-1, 3
Suppose -b + 2 = 2*l, 4*b = -2*l - 0*l + 14. Let u(q) = 4*q**2 - 1. Let x be u(l). Factor 0*r**x + 0*r - 1/4*r**2 + 0 + 1/4*r**4.
r**2*(r - 1)*(r + 1)/4
Let l be (-145)/(-14)*(-104)/(-200). Let c = l + -51/10. Determine v, given that c*v**3 - 2/7*v**2 + 0*v + 0 = 0.
0, 1
Factor 2 - 12*h**3 + 16*h**3 - 12*h + 6.
4*(h - 1)**2*(h + 2)
Let j(t) be the second derivative of t**5/70 + t**4/126 - 2*t**3/63 - 6*t. Factor j(i).
2*i*(i + 1)*(3*i - 2)/21
Let d(z) be the first derivative of 2*z**3/15 + 4*z**2/5 + 8*z/5 - 5. Suppose d(a) = 0. What is a?
-2
Let r = -2 + 5. Suppose p + r = 5. Find z such that 4 - z - 2 - 2 + z**p = 0.
0, 1
Let g(q) = -12*q**3 - 29*q**2 + 5*q + 20. Let j(o) = -o**2 + o + 1. Let v(s) = g(s) - 2*j(s). Determine f, given that v(f) = 0.
-2, -1, 3/4
Let g(v) be the first derivative of -2*v**3/3 - 2*v**2 + 16*v + 1. Determine n so that g(n) = 0.
-4, 2
Let a(m) = 12*m**2 + 14*m - 6. Let c(z) = -12*z**2 - 15*z + 7. Let r(j) = -5*a(j) - 4*c(j). Find x such that r(x) = 0.
-1, 1/6
Let j(w) = w**4 - 5*w**3 + 7*w**2 + w. Let g(q) = -q**5 + 5*q**3 - 6*q**2 - q. Let u(f) = 4*g(f) + 3*j(f). Solve u(v) = 0.
-1, -1/4, 0, 1
Let q(y) be the second derivative of -y**6/255 + y**5/85 + y**4/34 - 4*y**3/51 - 4*y**2/17 - 7*y + 5. Factor q(m).
-2*(m - 2)**2*(m + 1)**2/17
Let c(h) = 6*h**4 + 7*h**3 + h**2. Let u(v) = 18*v**4 + 22*v**3 + 4*v**2. Let s(q) = -10*c(q) + 3*u(q). Factor s(x).
-2*x**2*(x + 1)*(3*x - 1)
Let c(y) be the second derivative of -4*y**6/15 - 3*y**5/10 + 3*y**4/2 - 2*y**3/3 + 13*y. Find q such that c(q) = 0.
-2, 0, 1/4, 1
Let b(u) = -u**2 - 6*u - 4. Let a be b(-3). Let k be (10/4)/(2/4). Factor a - 2*l**4 - k + 2*l**2.
-2*l**2*(l - 1)*(l + 1)
Suppose 0 = 4*g - 5*q - 10 - 10, -3*g = 3*q + 12. Suppose -5*a + 4*a = -3. Factor -2/5*x + 2/5*x**2 + g - 2/5*x**4 + 2/5*x**a.
-2*x*(x - 1)**2*(x + 1)/5
Let b(l) be the third derivative of 0*l**6 + 1/210*l**7 + 0*l**3 - 1/20*l**5 - 3*l**2 + 0 - 1/12*l**4 + 0*l. Let b(w) = 0. What is w?
-1, 0, 2
Let v(r) be the first derivative of r**3/12 - r**2/8 + 29. Factor v(a).
a*(a - 1)/4
Suppose -1/9*a**4 - 4/9 + 5/9*a**3 - 4/9*a - 1/9*a**5 + 5/9*a**2 = 0. Calculate a.
-2, -1, 1, 2
Let w be -1*0/(10/5). Let k(j) be the third derivative of j**2 + 0*j + 0 - 1/21*j**3 + w*j**4 + 1/210*j**5. Find f, given that k(f) = 0.
-1, 1
Let i(q) = -2*q - 10. Let o be i(-7). Suppose o*p - p = 6. Solve -28/5*g**p + 24/5*g**5 + 26/5*g**4 + 2/5 + 0*g - 24/5*g**3 = 0.
-1, -1/3, 1/4, 1
Let r(s) = -s - 1. Let d(z) be the second derivative of z**5/10 - z**4/6 + 2*z**2 + z. Let m(n) = d(n) + 2*r(n). What is y in m(y) = 0?
-1, 1
Let j(o) be the second derivative of 0 + 0*o**2 - 3/4*o**5 + o + 2/5*o**6 + 1/4*o**4 + 0*o**3. Factor j(m).
3*m**2*(m - 1)*(4*m - 1)
Let g = 155/106 + 2/53. Determine a, given that 3/2*a**2 - g + 0*a = 0.
-1, 1
Let n = 47 + -42. Let a(w) be the first derivative of -3 - 2/9*w**4 + 8/27*w**3 + 2/45*w**n + 0*w + 0*w**2. Find d, given that a(d) = 0.
0, 2
Let w = -7502 - -345113/46. Let v = 1/23 + w. Let 1/2*d + 0*d**2 + 0 - v*d**3 = 0. What is d?
-1, 0, 1
Let d = -16 - -7. Let r be (-2)/6 - 30/d. Suppose -1/4*i**4 + 1/4*i**2 + 0*i + 0*i**r + 0 = 0. Calculate i.
-1, 0, 1
Factor 2/19*d**2 + 8/19*d + 6/19.
2*(d + 1)*(d + 3)/19
Let q(n) be the third derivative of n**7/735 + n**6/84 - n**5/210 - 5*n**4/84 + 28*n**2. Factor q(r).
2*r*(r - 1)*(r + 1)*(r + 5)/7
Suppose -2*l - 2*a + 1570 = 3*a, -l = -5*a - 800. Let k = -3928/5 + l. Determine w, given that -4/5 - k*w**3 + 8/5*w**5 - 26/5*w - 46/5*w**2 + 2*w**4 = 0.
-1, -1/4, 2
Let y(i) be the second derivative of i**6/70 - 3*i**5/140 - i**4/28 + i**3/14 - 3*i. Factor y(l).
3*l*(l - 1)**2*(l + 1)/7
Let l = -22 + 16. Let a = 0 - l. Let f(m) = -6*m**2 + 6*m. Let u(q) = -7*q**2 + 7*q. Let w(o) = a*f(o) - 5*u(o). Factor w(t).
-t*(t - 1)
Let d(g) = -3*g**3 - g**2 - 3*g. Let m(s) = -3*s**3 - 3*s. Let z(r) = 6*d(r) - 5*m(r). Factor z(l).
-3*l*(l + 1)**2
Let q be (-52)/(-20) + 2/5. Let k(j) be the first derivative of 0*j - 2 - 1/15*j**5 + 0*j**2 + 1/18*j**6 + 0*j**4 + 0*j**q. Factor k(m).
m**4*(m - 1)/3
Find d such that -3 + 3 + 6*d**2 + 8 - 4*d**2 + 8*d = 0.
-2
Let m be (-10)/(-4)*-2*-1. Suppose 0 = m*c - o - 4, 5*c + 1 = -3*o + 9. Suppose 0*y**2 + 6*y**3 + y**2 - 1 + c + 9*y**4 = 0. What is y?
-1/3, 0
Let d(n) be the second derivative of n**4/42 - 2*n**3/21 + n**2/7 + n. Factor d(w).
2*(w - 1)**2/7
Let g(r) be the first derivative of 4*r**3/3 - 2*r**2 + 35. Factor g(m).
4*m*(m - 1)
Factor -10*x + x - 3*x**3 - 3 + 0*x**3 - 9*x**2.
-3*(x + 1)**3
Let y(a) be the third derivative of -a**9/60480 - a**8/10080 + a**7/5040 + a**6/360 - a**5/12 + 4*a**2. Let r(h) be the third derivative of y(h). Factor r(s).
-(s - 1)*(s + 1)*(s + 2)
Let q(p) = -p**3 - 21*p**2 + 99*p - 23. Let c be q(-25). Factor 1/2*y**4 + 0*y**3 + 0*y**c + 0*y + 0.
y**4/2
Let x = -3/670 + 121/12060. Let a(w) be the third derivative of 1/36*w**4 + 0 + 1/18*w**3 + 0*w - 2*w**2 + x*w**5. Factor a(s).
(s + 1)**2/3
Let a(j) = -25*j**5 + 24*j**4 + 24*j**3 - 7*j**2. Let x(d) = d**2 + d**5 + d - 4*d**3 - d + 3*d**3. Let l(s) = 2*a(s) + 18*x(s). Solve l(h) = 0 for h.
-1/4, 0, 2
Suppose 4*s = 13 + 3. Suppose s*o = -12, -2*c + 3*o = -5 - 8. Factor 218/7*x**c + 8/7 + 36*x**3 + 14*x**4 + 72/7*x.
2*(x + 1)**2*(7*x + 2)**2/7
Let t(j) be the second derivative of -j**7/84 + j**5/20 - j**3/12 + 10*j. Factor t(v).
-v*(v - 1)**2*(v + 1)**2/2
Suppose 0 = -3*l - 3*h - 3, h + 7 = l. Find u, given that -5*u**2 - 3*u**4 - 14*u**l + 7*u + 2 + 7*u**5 + 5*u**4 + u**2 = 0.
-1, -2/7, 1
Find b such that 4*b**2 + 4*b**2 - 4*b**2 + 7*b - 19*b + 8 = 0.
1, 2
Factor 0 + 1/3*r**3 + 2/3*r**2 + 1/3*r.
r*(r + 1)**2/3
Let f(w) = w**4 + w**3 - w**2. Let m(i) = i**4 + 4*i**3 + 2*i**2 - 6*i - 3. Let b(q) = -2*f(q) - m(q). Factor b(p).
-3*(p - 1)*(p + 1)**3
Let n(p) = 10*p**2 + p + 5. Let l(a) = 21*a**2 + 3*a + 9. Let s(o) = 4*l(o) - 9*n(o). Let v(r) = r + 1. Let d(f) = s(f) + 6*v(f). Solve d(q) = 0.
1/2, 1
Let j(l) be the third derivative of 5*l**8/728 + 76*l**7/1365 + 17*l**6/195 + 8*l**5/195 + 13*l**2. Determine z, given that j(z) = 0.
-4, -2/3, -2/5, 0
Let d(h) be the first derivative of