 - 1)*(3*m + 1)/4
Let o(k) be the first derivative of k**4/4 - 4*k**3/3 - 11*k**2/2 - 6*k - 63. Find l such that o(l) = 0.
-1, 6
Suppose 0 = -4*b + 3*f + 9, 1 = 2*b - 3*f - 2. Factor 3*n + 7*n - 6*n**b + 9*n**2 - 4*n.
-3*n*(n - 2)*(2*n + 1)
Factor 2/11*p**2 + 2/11 + 4/11*p.
2*(p + 1)**2/11
Let u(k) be the first derivative of -k**5/100 + k**4/60 - k - 3. Let i(c) be the first derivative of u(c). Factor i(g).
-g**2*(g - 1)/5
Let y(p) = -p**4 - 5*p**3 + 11*p**2 + p - 4. Let o(m) = 3*m**4 + 21*m**3 - 45*m**2 - 3*m + 15. Let h(f) = -2*o(f) - 9*y(f). Factor h(d).
3*(d - 1)**2*(d + 1)*(d + 2)
Let i(r) = r**3 + 21*r**2 - 19*r + 68. Let b be i(-22). Solve 4*w**3 - 50/7*w**b - 4/7 + 26/7*w = 0.
2/7, 1/2, 1
Suppose -4*o + 3*p - 8 = p, -5*o - 20 = -5*p. Let u(h) be the second derivative of 0 + 3*h + o*h**2 - 1/2*h**4 + 3/20*h**5 + 1/2*h**3. Factor u(s).
3*s*(s - 1)**2
Let x(z) = 2*z**2 - 3*z + 2. Suppose 2*n + 0*n = 4. Let q be x(n). Solve 2*i**3 + 40*i**5 - i**4 + i**2 - 45*i**q + 3*i**2 = 0 for i.
-1/4, 0, 2/5, 1
Let g = -5 + 2. Let y = 3 + g. Factor 2/3*f**4 + 0 + 2/3*f**5 - 2/3*f**3 - 2/3*f**2 + y*f.
2*f**2*(f - 1)*(f + 1)**2/3
Let m be 13/40 + 1/(-5). Let f(y) be the first derivative of -1 + 1/4*y**2 + m*y**4 + 0*y + 1/3*y**3. Factor f(h).
h*(h + 1)**2/2
Suppose -5*n + 2*d + 25 = 0, -2*n = 3*d + 2 + 7. Factor 2*t - 3*t**3 + t**2 + 5*t**3 + 3*t**2 + 0*t**n.
2*t*(t + 1)**2
Let l(k) be the first derivative of -k**4/7 - 8*k**3/21 - 2*k**2/7 - 6. Determine j, given that l(j) = 0.
-1, 0
Suppose -5*u - 8 = -u, 0 = o + 3*u + 4. Factor -3*k**o + k**2 + 4*k**2.
2*k**2
Let j(x) = -x + 6. Let d be j(7). Let s be 1/(2/(-6))*d. Factor -2*u - 3*u**s - 4 + 11*u**2 - 4*u - 2*u.
-(u - 2)**2*(3*u + 1)
Suppose -35*g + 33*g = -6. Let t(n) be the third derivative of 1/210*n**5 + 0 + 3*n**2 + 4/21*n**g + 0*n - 1/21*n**4. Let t(p) = 0. What is p?
2
Solve -17*o**2 + 28*o**2 - 2*o**5 - 3*o**4 + 2*o**3 + o**4 - 9*o**2 = 0 for o.
-1, 0, 1
Let j(n) be the third derivative of n**7/280 - n**5/80 - 10*n**2. Solve j(s) = 0 for s.
-1, 0, 1
Let m be (7/(-105) - 2/(-5))*0. Determine d, given that -3/5*d**3 + m*d + 0 - 6/5*d**2 = 0.
-2, 0
Let z be ((-7)/14*0/(-1))/1. Find l such that z + 8*l**4 + 11/2*l**3 + 0*l + l**2 + 7/2*l**5 = 0.
-1, -2/7, 0
Determine l so that 0 - 1/2*l + 1/4*l**2 = 0.
0, 2
Let x(i) be the second derivative of 2*i**7/21 + 4*i**6/5 + 13*i**5/5 + 4*i**4 + 8*i**3/3 + 5*i. Factor x(k).
4*k*(k + 1)**2*(k + 2)**2
Let x(v) be the second derivative of 1/6*v**3 + 1/12*v**4 + 0 + v - 1/60*v**5 + 0*v**2 + 1/720*v**6. Let i(q) be the second derivative of x(q). Factor i(a).
(a - 2)**2/2
Let v(a) be the third derivative of -1/40*a**6 + 0*a**5 + 0*a**3 + 0*a + 0 - 1/140*a**7 - 2*a**2 + 0*a**4. Determine b so that v(b) = 0.
-2, 0
Factor -2/11*f**5 - 6/11*f**4 + 0 + 0*f - 2/11*f**2 - 6/11*f**3.
-2*f**2*(f + 1)**3/11
Let s(d) be the third derivative of d**10/90720 + d**9/60480 - d**8/30240 + 2*d**5/15 - 5*d**2. Let c(i) be the third derivative of s(i). Factor c(w).
w**2*(w + 1)*(5*w - 2)/3
Let b(g) = g**2 + 5*g - 5. Let a be b(-10). Let f be 60/a*(-12)/(-10). Find s, given that -2/5*s**2 + 0 - f*s**4 + 2*s**3 + 0*s = 0.
0, 1/4, 1
Let u be 1 + 1 + (-12)/(-3). Let o be u/6 + 2/(-3). Factor o*y**2 - 1/6*y + 0 - 1/6*y**3.
-y*(y - 1)**2/6
Suppose -2*x**2 - 8*x + 0*x + 4*x = 0. Calculate x.
-2, 0
Suppose j + 3*j + 8 = 0, -4*j = -5*l + 28. Factor 23*t + 14*t**2 - l - 21*t**2 - 2.
-(t - 3)*(7*t - 2)
Let f(p) be the first derivative of -8*p**3/39 + 3*p**2/13 + 2*p/13 + 1. Factor f(c).
-2*(c - 1)*(4*c + 1)/13
Let b = -7 + 11. Suppose 6*w**4 - 2*w**2 - 3*w**b - w**2 = 0. What is w?
-1, 0, 1
Let k be 5 - 5 - (-8690)/(-9756). Let a = -1/542 - k. Let -4/9*s**5 + a*s - 10/9*s**4 - 4/9*s**3 + 2/9 + 8/9*s**2 = 0. What is s?
-1, -1/2, 1
Let l(q) be the second derivative of q**6/3 + 7*q**5/10 - q**4/2 - 7*q**3/3 - 2*q**2 + 5*q. Factor l(k).
2*(k - 1)*(k + 1)**2*(5*k + 2)
Let d be ((-20)/36 + 0)*2. Let t = d - -49/36. Factor -t + 5/4*h**3 + 7/4*h - 11/4*h**2.
(h - 1)**2*(5*h - 1)/4
Let a = -7 - -7. Let -3 + a + 16*l**3 - 3*l + 3*l**2 - 13*l**3 = 0. Calculate l.
-1, 1
Let g(h) be the third derivative of h**6/120 + h**5/60 - h**4/24 - h**3/6 - 19*h**2. What is u in g(u) = 0?
-1, 1
Let q(r) = r + 1. Let f be q(-7). Let s(t) = 6*t**2 - t - 13. Let l(h) = h**2 - 2. Let p(g) = f*s(g) + 39*l(g). Find u such that p(u) = 0.
-2, 0
Let t = -3 + 22. Find w such that -3*w**2 + 4*w**2 + 6*w + t - 28 - 2*w**2 = 0.
3
Let x(v) be the third derivative of -v**10/75600 + v**9/15120 - v**8/10080 + v**5/60 + v**2. Let u(f) be the third derivative of x(f). Let u(q) = 0. What is q?
0, 1
Let g(j) = -j**3 + 5*j**2 + 5*j + 6. Let l be g(6). Suppose -2*a = 3*a. Factor 0 + a*v - 2/9*v**4 + l*v**2 + 2/9*v**3.
-2*v**3*(v - 1)/9
Suppose 68*a = 55*a. Solve -1/2*z**2 + a*z + 1/2 = 0 for z.
-1, 1
Let a(c) be the first derivative of -c**3/3 - c**2/2 + 2*c + 6. What is q in a(q) = 0?
-2, 1
Let i(b) be the first derivative of 2*b**3/9 - 5*b**2/3 + 9. Factor i(f).
2*f*(f - 5)/3
Let y(t) = -2*t**3 + 2*t**2 + 3*t - 2. Let i be y(2). Let h be (-5 + 3)/i + 3. Suppose -h*z + 1 + 5/2*z**2 = 0. What is z?
2/5, 1
Suppose 4*u = 4*d, -u + 2*d = -3*d + 16. Suppose 30*h**2 + 6 + h - 36*h**5 - 8 + 9*h**3 + 26*h**3 - 28*h**u = 0. Calculate h.
-1, -1/2, 2/9, 1
Let j = -7 + 12. Factor -2*a**3 + 6*a**4 + 3*a**3 - 4*a**3 + 9*a**j.
3*a**3*(a + 1)*(3*a - 1)
Let -14/11*i**3 + 0*i + 0 + 4/11*i**2 + 6/11*i**5 + 4/11*i**4 = 0. Calculate i.
-2, 0, 1/3, 1
Factor -3 + 39*l - 507/4*l**2.
-3*(13*l - 2)**2/4
Let y be 2/(-4) + (-8)/(-16). Suppose y = 3*o - 2*o - 10. Solve 6 + o*a**2 + 8*a**2 - 2 - 8*a**2 + 14*a = 0.
-1, -2/5
Let q(z) be the first derivative of -z**6/90 - z**5/60 + 2*z + 2. Let a(f) be the first derivative of q(f). What is u in a(u) = 0?
-1, 0
Let h(m) = m + 7. Let n be h(-5). Factor c**2 + 2*c**2 - n*c**2 + 2*c - c**3.
-c*(c - 2)*(c + 1)
Let q(z) be the second derivative of -z**8/11760 + z**7/2205 + z**4/2 - 2*z. Let n(r) be the third derivative of q(r). Factor n(k).
-4*k**2*(k - 2)/7
Suppose -i + 20 = -0*i - 5*l, 2*i - 4 = -2*l. Suppose 4*x - 6 = 5*k - 2, -2*k - 5 = -i*x. Factor 2/7*n**4 + 2/7 + 0*n + k*n**3 - 4/7*n**2.
2*(n - 1)**2*(n + 1)**2/7
Let v(t) be the third derivative of -2*t**7/105 - t**6/10 - t**5/5 - t**4/6 - 34*t**2. Factor v(w).
-4*w*(w + 1)**3
Suppose 0 = -z + 2*k - 6, -k - 4*k = 2*z - 24. Factor 0*n - 3 + 6*n + 7 - z*n**3.
-2*(n - 2)*(n + 1)**2
Let n(x) be the second derivative of 4*x**7/35 - 13*x**6/75 - 6*x**5/25 + 7*x**4/15 - x**2/5 + 5*x. Find s such that n(s) = 0.
-1, -1/4, 1/3, 1
Let m be 3 + 3 + -6 + 3. Let s be m + 0 + (-15)/6. Let 1/2*w**2 + 0*w - s = 0. Calculate w.
-1, 1
Let f = -8 - -24. Let m be 10/1*(-1)/2. Let d(a) = -2*a**3 + 3*a**2 + 7*a + 2. Let k(j) = -6*j**3 + 10*j**2 + 22*j + 6. Let t(g) = f*d(g) + m*k(g). Factor t(o).
-2*(o - 1)*(o + 1)**2
What is k in 18*k**3 - 10*k**2 - 14*k**4 + 4*k + 4*k**5 + 5*k - 7*k = 0?
0, 1/2, 1
Let s(c) be the first derivative of 2*c**3/27 + 4*c**2/9 - 10*c/9 - 21. Suppose s(m) = 0. Calculate m.
-5, 1
Let h(u) be the second derivative of u**7/420 + u**6/60 - u**5/60 - u**4/4 - u**3 - 4*u. Let c(b) be the second derivative of h(b). Factor c(o).
2*(o - 1)*(o + 1)*(o + 3)
Suppose -41*i + 23*i - 30*i - 16*i**2 + 43*i**3 - 7*i**3 - 4*i**5 = 0. What is i?
-3, -1, 0, 2
Let s(w) be the third derivative of -w**5/12 + 5*w**4/3 + 18*w**2. Let s(a) = 0. Calculate a.
0, 8
Let b = 27 + -17. Suppose -2*f = -0*y + 3*y - 16, 0 = -f - 2*y + b. Factor -2*q**f - 4/5 - 14/5*q.
-2*(q + 1)*(5*q + 2)/5
Suppose 0*n + w = n - 2, -2*w - 5 = -3*n. Factor n + 2*r**5 - r - 3*r**5 + 2*r**3 - 1.
-r*(r - 1)**2*(r + 1)**2
Let u = -69 + 209/3. Factor u*w**4 - 4/3*w**3 + 2/3*w**5 + 2/3*w + 2/3 - 4/3*w**2.
2*(w - 1)**2*(w + 1)**3/3
Factor -2*x**4 - 2/3*x**2 + 0*x + 0 + 2*x**3 + 2/3*x**5.
2*x**2*(x - 1)**3/3
Let m(v) = 6*v + 69. Let j be m(-11). Factor 10/7*o + 2/7*o**j - 4/7 - 8/7*o**2.
2*(o - 2)*(o - 1)**2/7
Let t(w) be the second derivative of -w**6/15 + w**5/6 - w**4/9 - 6*w. Find j, given that t(j) = 0.
0, 2/3, 1
Factor -6*t + 0 + 3*t**3 + 21/2*t**2.
3*t*(t + 4)*(2*t - 1)/2
Let r = -45 - -49. Let q(z) be the third derivative of 1/72*z**r + 3*z**2 - 1/45*z**5 + 0 + 0*z + 0*z**3. Solve q(l) = 0.
0, 1/4
Let r = 23 - 8