 -b = 4*b - 15. Suppose 0*m**2 - m**3 + m**4 - 2*m**2 + 3*m**2 - m**b = 0. Calculate m.
0, 1
Suppose 70 - 25 = 3*y. Factor -10*v**4 + 4*v + 7*v**3 + 2*v**3 + y*v**3 - 18*v**2.
-2*v*(v - 1)**2*(5*v - 2)
Solve 0*n**3 + n**4 - 17*n**5 + n**3 + 18*n**5 - 3*n**4 = 0.
0, 1
Let j(f) = f - 1. Let r be j(6). Let y(c) be the third derivative of 0 + 1/24*c**4 + 0*c + 1/6*c**3 - 3*c**2 - 1/120*c**6 - 1/60*c**r. Solve y(u) = 0 for u.
-1, 1
Suppose -u = -5 + 1. Let b(x) be the third derivative of -x**2 + 1/840*x**7 + 0*x + 1/40*x**5 + 0 + 1/24*x**3 + 1/120*x**6 + 1/24*x**u. Factor b(f).
(f + 1)**4/4
Factor 0*o + 0 + 1/7*o**2.
o**2/7
Let 3/5*p**4 + 0*p + 3/5*p**3 + 0 - 3/5*p**5 - 3/5*p**2 = 0. What is p?
-1, 0, 1
Suppose 0 = -h - 2*s - 11 + 4, s + 2 = 0. Let z(g) = -g**3 - 2*g**2 + 3*g + 2. Let l be z(h). Factor 3*u**2 + 4*u**l + 3*u**2 - 8*u**3 - 2*u.
-2*u*(u - 1)*(4*u - 1)
Suppose 3*h - 2*h = 3. Let z(g) be the third derivative of 0*g**4 + 0 - 1/30*g**6 - g**2 + 0*g - 1/105*g**7 + 0*g**h - 1/30*g**5. Factor z(u).
-2*u**2*(u + 1)**2
Let l(q) be the third derivative of q**9/6480 - q**8/10080 - q**7/1080 + q**6/1080 - q**4/24 + q**2. Let z(m) be the second derivative of l(m). Factor z(x).
x*(x - 1)*(x + 1)*(7*x - 2)/3
Let j be 9/(9/(-3)) - -3. Let u(g) be the first derivative of j*g - 2/25*g**5 + 0*g**2 + 0*g**4 + 2/15*g**3 + 2. Factor u(w).
-2*w**2*(w - 1)*(w + 1)/5
Let n(r) = -r**2 - 22*r + 4. Let p be n(0). Factor 0*d - 3/4 - 3/4*d**p + 3/2*d**2 + 0*d**3.
-3*(d - 1)**2*(d + 1)**2/4
Let w(t) be the second derivative of -t**4/21 - 8*t**3/21 + 10*t**2/7 + 44*t. Factor w(z).
-4*(z - 1)*(z + 5)/7
Let s be 3/(-6) + 62/4. Find x, given that s*x**3 + 11/2*x**2 - 25/2*x**4 - 2 - 6*x = 0.
-2/5, 1
Let n(y) be the first derivative of y**6/50 - 3*y**5/100 - y**4/20 + y**3/10 + 5*y - 4. Let w(h) be the first derivative of n(h). Factor w(o).
3*o*(o - 1)**2*(o + 1)/5
Find a such that 2/9*a**3 + 0 + 0*a + 2/9*a**4 - 2/9*a**2 - 2/9*a**5 = 0.
-1, 0, 1
Let b(z) = -7*z**2 + z - 1. Suppose -1 = t - 3. Let r = t + -3. Let h(q) = q + 1. Let d(k) = r*b(k) - h(k). Let d(p) = 0. Calculate p.
0, 2/7
Let o(b) be the third derivative of 13/84*b**4 + 0 + 1/7*b**5 + 8/105*b**6 + 16/735*b**7 + 1/392*b**8 + 6*b**2 + 2/21*b**3 + 0*b. Solve o(p) = 0.
-2, -1, -1/3
Let b = -2 - -8/3. Let a(d) be the first derivative of -b*d - 4/3*d**2 + 1 + 2/3*d**4 + 2/9*d**3. Factor a(q).
2*(q - 1)*(q + 1)*(4*q + 1)/3
Suppose 4*o + 9 = f, o + 0*o + 5*f = -18. Let l = o + 8. Suppose -l - n + 5 + n**3 = 0. What is n?
-1, 0, 1
Let l be (-3)/(-2) - 6/12. Let q(d) = d - 4. Let c be q(6). Factor 4*n**2 - 2 - 2*n**c - n**4 + l.
-(n - 1)**2*(n + 1)**2
Let x be ((-4)/(-5))/(48/15 + -3). Let n(w) be the second derivative of 3*w + 0 + 1/30*w**x + 1/5*w**2 + 2/15*w**3. Solve n(g) = 0.
-1
Let g be ((-4)/(-5))/(140/50). Factor 2/7 - g*m**2 + 0*m.
-2*(m - 1)*(m + 1)/7
Factor 27*l**2 + 27 - 16*l**2 - 3*l**3 + 10*l**2 - 45*l.
-3*(l - 3)**2*(l - 1)
Factor 6/7*u**3 - 4/7*u**2 + 0*u + 0.
2*u**2*(3*u - 2)/7
Let c = 232 + -1387/6. Let x(n) be the second derivative of 1/4*n**5 - c*n**3 + n**2 + n + 0 - 1/6*n**4. What is k in x(k) = 0?
-1, 2/5, 1
Factor 2/7 + 2/7*c**2 + 4/7*c.
2*(c + 1)**2/7
Let w = 652 + -647. Suppose 13/3*v**3 - 1/3*v**2 - 2/3*v + 3*v**w + 0 + 7*v**4 = 0. Calculate v.
-1, -2/3, 0, 1/3
Let s(a) = a**2. Let g(z) = -7*z**2 + 6*z - 4. Let h(v) = 2*g(v) + 10*s(v). Solve h(u) = 0 for u.
1, 2
Let h = -423 + 428. Factor 0 + 3/4*d**2 - 9/4*d**4 - 3/2*d**h + 0*d**3 + 0*d.
-3*d**2*(d + 1)**2*(2*d - 1)/4
Suppose 38*x - 44*x = -36. Factor -15/4*y + 4*y**3 - 1/2 - x*y**2.
(y - 2)*(4*y + 1)**2/4
Let m(x) be the third derivative of x**8/336 - 2*x**7/105 + x**6/20 - x**5/15 + x**4/24 + 4*x**2. Factor m(r).
r*(r - 1)**4
Suppose -m - 24 = -7*m. Factor 2/3*v**2 - 2/3*v**m + 0 - 4/3*v + 4/3*v**3.
-2*v*(v - 2)*(v - 1)*(v + 1)/3
Let s(w) be the second derivative of -w**7/63 - 4*w**6/135 + w**5/18 + w**4/27 + 8*w. Let s(h) = 0. What is h?
-2, -1/3, 0, 1
Suppose -22 = -3*t + 14. Find p such that -8 - 24*p - 8*p**2 - 8*p**2 - t*p**3 - 2*p**4 - 10*p**2 = 0.
-2, -1
Let c be 55/88*(-2)/(-10). Let p(w) be the third derivative of 0*w + 0 - 1/20*w**5 - 3*w**2 - c*w**4 + w**3. Find h, given that p(h) = 0.
-2, 1
Suppose -2*d - 2*p = -18, 4*d - 4*p - 5 = 7. Suppose c + c = d. Solve 4*o**2 + 5 + o**5 - 3*o**5 - c - 6*o**4 + 6*o - 4*o**3 = 0.
-1, 1
Let v(c) be the second derivative of -c**7/840 + c**6/60 - c**5/10 + c**4/3 - c**3/6 + 3*c. Let k(j) be the second derivative of v(j). Factor k(t).
-(t - 2)**3
Let r(k) be the first derivative of -3*k**5/10 + 3*k**4/2 - 5*k**3/2 + 3*k**2/2 + 13. Factor r(l).
-3*l*(l - 2)*(l - 1)**2/2
Let j = -371/6 + 62. Let p(n) be the first derivative of 3/4*n**2 - n - 1 - j*n**3. Determine f so that p(f) = 0.
1, 2
Let h(b) = 24*b**2 + 74*b - 36. Let n(c) = 8*c**2 + 25*c - 12. Let p(k) = -5*h(k) + 14*n(k). Factor p(x).
-4*(x + 3)*(2*x - 1)
Let z(c) be the second derivative of 0 - 1/3*c**4 + 2*c - 1/10*c**5 + 2*c**2 + 1/3*c**3. Factor z(i).
-2*(i - 1)*(i + 1)*(i + 2)
Let i(l) be the first derivative of l**4/12 + 5*l**3/9 - l**2 - 54. Determine q so that i(q) = 0.
-6, 0, 1
Let u(r) be the first derivative of r**3/24 + 5*r**2/16 + r/2 - 16. Factor u(d).
(d + 1)*(d + 4)/8
Let d = -18 + 22. Let y(t) be the first derivative of 0*t + 0*t**2 + 1/6*t**3 - 1/10*t**5 - 1/8*t**d + 1 + 1/12*t**6. Factor y(r).
r**2*(r - 1)**2*(r + 1)/2
Suppose -6*s + 8 = -2*s. Factor -a - 4*a**s + 3*a + 2*a**2.
-2*a*(a - 1)
Let k(y) be the first derivative of y**4/4 - y**3/3 + 35. Solve k(q) = 0.
0, 1
Let h be (5*4/5)/6. Factor h*s - 2/3*s**4 + 2*s**3 + 0 - 2*s**2.
-2*s*(s - 1)**3/3
Suppose 5*w - 8 = 12. Let z = -3 - -3. Let -6*j**5 + z*j**4 - 4*j**2 + j**3 + 5*j**3 + 0*j**w + 4*j**4 = 0. What is j?
-1, 0, 2/3, 1
Let i(n) be the third derivative of -n**10/151200 + n**8/20160 + n**5/30 + 3*n**2. Let d(q) be the third derivative of i(q). Find g such that d(g) = 0.
-1, 0, 1
Find u such that -4*u - 2 + 5/2*u**2 = 0.
-2/5, 2
Let w(k) be the first derivative of k**3/21 - 5*k**2/14 - 6*k/7 + 5. Factor w(d).
(d - 6)*(d + 1)/7
Let z = -774 + 777. Suppose 9/5*f**2 - 12/5 - 3/5*f**z + 0*f = 0. What is f?
-1, 2
Let i(d) be the third derivative of -7*d**7/60 + 14*d**6/15 - 13*d**5/5 + 8*d**4/3 - 4*d**3/3 + 5*d**2. Factor i(j).
-(j - 2)**2*(7*j - 2)**2/2
Let c = -2/211 - -850/633. Factor c*l + 2/3*l**2 - 2/3*l**4 - 4/3*l**3 + 0.
-2*l*(l - 1)*(l + 1)*(l + 2)/3
Let h(t) be the third derivative of 0*t + 0 + 7/80*t**6 - 1/2*t**3 - 7/16*t**4 - 4*t**2 + 1/20*t**5. Factor h(v).
3*(v - 1)*(v + 1)*(7*v + 2)/2
Let n be (8 - 4)/((-3)/12). Let h be n/4 - (-38)/9. Solve 4/9*v + 2/9 + h*v**2 = 0 for v.
-1
Let p(s) be the third derivative of 0 + 1/1680*s**8 + 0*s + 1/1050*s**7 - 1/300*s**6 + 1/120*s**4 - 1/150*s**5 + 4*s**2 + 1/30*s**3. Factor p(r).
(r - 1)**2*(r + 1)**3/5
Let l be ((-6)/5)/(3 + 102/(-30)). Factor 0 + k - 1/2*k**4 - 5/2*k**2 + 2*k**l.
-k*(k - 2)*(k - 1)**2/2
Suppose 8*c - 12*c = 32. Let j be (-8 + 2)/(54/c). Find n, given that 8/9*n - 2/9*n**2 - j = 0.
2
Let 5*b**2 + 8*b**2 - 5*b**2 - 5*b**2 + 36*b**4 + 24*b**3 = 0. What is b?
-1/2, -1/6, 0
Let n(x) = -5*x**3 + 2*x**2 + 12*x + 3. Let o(j) be the first derivative of j**3/3 + j - 2. Let q(p) = n(p) + o(p). Factor q(d).
-(d - 2)*(d + 1)*(5*d + 2)
Let t(g) = 5*g**2 + 8*g + 2. Let i(v) = -51*v**2 - 81*v - 21. Let f(b) = -2*i(b) - 21*t(b). Factor f(a).
-3*a*(a + 2)
Find z such that 0 - 1/2*z**4 + 0*z + 3*z**3 - 5/2*z**2 = 0.
0, 1, 5
Suppose o = -11 - 3. Let u(j) = 2*j**2 + 6*j + 4. Let l(i) = 4*i**2 + 12*i + 8. Let a(c) = o*u(c) + 6*l(c). Factor a(f).
-4*(f + 1)*(f + 2)
Let d(u) be the second derivative of -u**7/42 + 3*u**5/20 - u**4/6 + 2*u. Factor d(m).
-m**2*(m - 1)**2*(m + 2)
Let g(c) be the third derivative of c**6/960 - c**5/120 + c**4/64 - 9*c**2. Determine w so that g(w) = 0.
0, 1, 3
Let v(u) = 4*u**4 + 10*u**3 + 12*u**2 + 2*u + 2. Let j(m) = -4*m**4 - 9*m**3 - 12*m**2 - m - 3. Let k(f) = 2*j(f) + 3*v(f). Factor k(q).
4*q*(q + 1)**3
Let k(g) be the first derivative of -2*g**3/27 + 2*g**2/3 - 2*g - 3. Determine i, given that k(i) = 0.
3
Let j(l) be the third derivative of 0 + 2*l**2 + 3/8*l**4 - 1/20*l**5 + 0*l - 3/2*l**3 + 1/360*l**6. Suppose j(h) = 0. Calculate h.
3
Suppose 4*q = -3*j + 29, -5*q + 35 = 2