o*(o - 1)**3*(o + 1)/4
Let q(r) be the third derivative of r**6/120 + r**5/30 - r**4/24 - r**3/3 - 3*r**2. Solve q(t) = 0.
-2, -1, 1
Let m(p) be the second derivative of -p**7/252 + p**6/45 - p**5/40 - p**4/18 + p**3/9 + 4*p. Determine t so that m(t) = 0.
-1, 0, 1, 2
Let j(c) = -c**3 + 4*c**2 + 8*c - 7. Let g be j(5). Let z be 18/g - 6/8. Find l, given that 1/2*l**3 + 3/2*l - z*l**2 - 1/2 = 0.
1
Let k(c) be the third derivative of c**5/30 - c**4/2 - 7*c**3/3 + 25*c**2. Solve k(o) = 0.
-1, 7
Let d be ((-4)/410)/(12/(-978)). Let s = d - 8/41. Suppose 6/5*t**3 - s + 0*t**2 + 3/5*t**4 - 6/5*t = 0. What is t?
-1, 1
Factor -10*d**3 + 5*d**2 + 1 + 8*d**3 - d - 1 - 2.
-(d - 2)*(d - 1)*(2*d + 1)
Factor g**2 + 8*g**3 - 6 - 30*g**2 + 8*g**4 - 9*g**2 + 28*g.
2*(g - 1)*(g + 3)*(2*g - 1)**2
Suppose 4*q + 2*z + 37 = 15, 0 = -2*q + 2*z - 8. Let u be 15/q + 4 + 1. What is p in 2/5 + 0*p - 2/5*p**u = 0?
-1, 1
Let x(w) be the third derivative of -1/180*w**4 - 8*w**2 + 0*w**3 + 0*w**5 + 1/150*w**6 + 1/840*w**8 + 0*w + 0 - 8/1575*w**7. Factor x(z).
2*z*(z - 1)**3*(3*z + 1)/15
Let g(j) be the first derivative of j**3/3 + 5*j**2/2 + j - 5. Let r(w) = w**2 + 9*w + 3. Let o(t) = -5*g(t) + 3*r(t). Let o(m) = 0. What is m?
-1, 2
Suppose 19 = 5*q + 4*t - 8, 0 = -5*q + 2*t + 9. Factor 2*y**3 + y**2 - y**4 + 4*y**q - 6*y**3.
-y**2*(y - 1)*(y + 1)
Let p(o) = -o**2 + 8*o - 6. Suppose -2*r + 13 - 1 = 0. Let s be p(r). Determine f so that s*f**2 - 6*f**2 + 2*f**3 = 0.
0
Let f be (-26)/(-42) + (-18)/63. Let y(i) be the second derivative of -3*i + 0*i**2 - 1/20*i**5 - 2/3*i**3 - f*i**4 + 0. Factor y(d).
-d*(d + 2)**2
Let f(w) be the first derivative of 8*w**3 - 3 + 12/5*w**5 + 0*w + 13/2*w**4 + 4*w**2 + 1/3*w**6. Let f(z) = 0. What is z?
-2, -1, 0
Suppose -2*u - 18 = -4*u. Let a(w) = w**3 - 8*w**2 - 9*w + 3. Let s be a(u). Factor 2/3*r**2 + 2/9*r**s + 2/9 + 2/3*r.
2*(r + 1)**3/9
Let p(k) be the third derivative of -4*k**7/525 - k**6/60 + k**5/50 + k**4/12 + k**3/15 - 11*k**2. Determine i, given that p(i) = 0.
-1, -1/4, 1
Let h(b) be the third derivative of -b**8/224 + b**7/42 - b**6/20 + b**5/20 - b**4/48 + 6*b**2. Solve h(n) = 0 for n.
0, 1/3, 1
Let m = 9 + 13. Suppose y = -4*y + 3*c + m, 0 = 3*y - 3*c - 18. Factor 2/9*j**4 + 4/9*j**3 + 2/9*j**y + 0*j + 0.
2*j**2*(j + 1)**2/9
Suppose 7 = -3*f + 4*f. Let h(k) be the second derivative of 0*k**4 + 0 + 0*k**2 + 1/20*k**5 - 1/42*k**f + 0*k**6 + k + 0*k**3. Let h(u) = 0. What is u?
-1, 0, 1
Determine v, given that v**4 + 3*v**4 - 21*v - 4*v**3 - 20*v**2 + 9*v = 0.
-1, 0, 3
Let h(r) be the first derivative of -2*r**5/45 - r**4/18 - 9. Factor h(t).
-2*t**3*(t + 1)/9
Let w be (-8)/(-144)*(-6)/(-20). Let z(a) be the third derivative of -w*a**5 - a**2 + 0*a - 1/24*a**4 + 1/3*a**3 + 0. Factor z(y).
-(y - 1)*(y + 2)
Let q(i) = -i + 10. Let u be q(8). Let c(w) be the first derivative of 1/4*w**u + 0*w - 1/3*w**3 + 1/8*w**4 + 1. Solve c(n) = 0 for n.
0, 1
Let t(l) be the second derivative of -l**5/120 + l**4/24 - l**2/3 + 14*l. Factor t(b).
-(b - 2)**2*(b + 1)/6
Let k(b) be the first derivative of 4*b**3/3 + 4*b**2 - 12*b + 9. Factor k(o).
4*(o - 1)*(o + 3)
Let n(g) be the first derivative of g**7/420 + g**6/120 + 4*g**2 - 5. Let c(k) be the second derivative of n(k). Find r, given that c(r) = 0.
-2, 0
Let h(a) be the third derivative of -2*a**5/15 - 5*a**4/6 + 2*a**3 - 6*a**2. Let h(x) = 0. Calculate x.
-3, 1/2
Let f(p) be the third derivative of -p**7/630 - p**6/120 - p**5/180 + p**4/24 + p**3/9 + 2*p**2 + 4. Factor f(z).
-(z - 1)*(z + 1)**2*(z + 2)/3
Let r(p) be the second derivative of p**8/336 - p**7/210 - p**6/120 + p**5/60 + 3*p**2/2 - 2*p. Let k(o) be the first derivative of r(o). Factor k(u).
u**2*(u - 1)**2*(u + 1)
Let i(v) be the third derivative of v**6/72 - 37*v**5/180 + 7*v**4/36 + 61*v**2. Suppose i(u) = 0. Calculate u.
0, 2/5, 7
Determine u so that 14/9*u**2 + 10/9*u**3 - 8/9 - 16/9*u = 0.
-2, -2/5, 1
Factor 0 - 3*w**2 - 9/5*w**3 - 6/5*w.
-3*w*(w + 1)*(3*w + 2)/5
Let d = 4/39 - -3/13. Let o(v) be the second derivative of v + 0*v**3 + 1/15*v**6 + 0 + 0*v**2 - d*v**4 - 1/10*v**5. Determine t, given that o(t) = 0.
-1, 0, 2
Let z(a) be the third derivative of 0*a + 0*a**3 + 0 - 1/120*a**4 + 0*a**5 + 3*a**2 + 1/600*a**6. Determine v so that z(v) = 0.
-1, 0, 1
Factor 0*x + 2/7*x**2 + 0*x**4 - 1/7*x**5 + 0 + 3/7*x**3.
-x**2*(x - 2)*(x + 1)**2/7
Let p(t) be the second derivative of -t**8/2240 - t**7/280 + t**5/10 - t**4/4 + 5*t. Let b(r) be the third derivative of p(r). Factor b(w).
-3*(w - 1)*(w + 2)**2
Let v = -175 + 3501/20. Let h(r) be the second derivative of -5/12*r**4 - 1/3*r**3 + 0*r**2 + r + 0 + 1/14*r**7 + 1/6*r**6 - v*r**5. Let h(b) = 0. What is b?
-1, -2/3, 0, 1
Suppose -5*h + 5*z + 5 = 0, 4*h + 4*z = h - 4. Let b be (-1 - 0)*(-2 + h). Let 8/3*t - 4/3 - t**b = 0. Calculate t.
2/3, 2
Suppose 0 = h - 3*h + 4*w - 10, -2*h - 5 = -3*w. Let q(m) = 3*m - 5*m**2 - m - 7*m**3 + 5*m**2. Let v(j) = -4*j**3 + j. Let o(z) = h*v(z) - 3*q(z). Factor o(r).
r*(r - 1)*(r + 1)
Let -25*s - 4*s**2 - 4 + 10*s + 0*s**2 + 7*s = 0. What is s?
-1
Let p(f) be the second derivative of f**4/36 + f**3/18 - 9*f. Factor p(t).
t*(t + 1)/3
Let f(s) be the first derivative of -2*s**5/65 + 2*s**4/13 - 4*s**3/13 + 4*s**2/13 - 2*s/13 + 13. Factor f(a).
-2*(a - 1)**4/13
Let m be 20*(0 + 32/30). Let u = m - 21. Factor 1/3 - 2/3*f**2 - 2/3*f**3 + 1/3*f**4 + u*f + 1/3*f**5.
(f - 1)**2*(f + 1)**3/3
Let a = 2/251 - -749/502. Factor -3 + a*z**3 - 9/2*z + 0*z**2.
3*(z - 2)*(z + 1)**2/2
Let l(u) be the third derivative of 9*u**6/70 - 6*u**5/35 - 11*u**4/56 - u**3/14 - 20*u**2. Let l(i) = 0. What is i?
-1/6, 1
Let u(m) = 3*m**3 + 3*m**2 + 8*m - 8. Let n be 1/((-24)/22 + 1). Let r = n + 6. Let g(v) = 2*v**3 + 2*v**2 + 5*v - 5. Let x(j) = r*u(j) + 8*g(j). Factor x(z).
z**2*(z + 1)
Let k = -77/6 + 13. Let u(h) be the third derivative of 0 - k*h**3 + 1/12*h**4 - 2*h**2 - 1/60*h**5 + 0*h. Solve u(t) = 0 for t.
1
Let i(j) be the third derivative of 2*j**7/105 + j**6/10 + j**5/5 + j**4/6 - 7*j**2. Let i(b) = 0. What is b?
-1, 0
Factor 15*q**2 + 4*q + q + 5*q**4 - 145*q**3 + 160*q**3.
5*q*(q + 1)**3
Let i = 15 - 13. Let 5*z**i - 2*z + 2*z - z - 4*z**2 = 0. Calculate z.
0, 1
Let f(t) be the first derivative of 5*t**3/3 - 5*t - 23. Find p, given that f(p) = 0.
-1, 1
Let b be (-106)/(-6) + (-8)/(-24). Let x = b + -12. Determine a, given that -16*a**2 - 2/3 - 32/3*a**3 - x*a = 0.
-1, -1/4
Let c(t) be the third derivative of t**8/26880 - t**7/6720 + t**5/12 - 4*t**2. Let v(s) be the third derivative of c(s). Factor v(x).
3*x*(x - 1)/4
Let y(o) be the third derivative of o**8/60480 - o**7/7560 - o**5/15 + 2*o**2. Let w(p) be the third derivative of y(p). Determine a, given that w(a) = 0.
0, 2
Let i(z) be the third derivative of -1/180*z**5 + 5*z**2 + 0 + 0*z - 1/36*z**4 - 1/18*z**3. Factor i(h).
-(h + 1)**2/3
Let j(a) be the third derivative of -1/150*a**6 + 0 + 0*a**3 - 1/525*a**7 - 1/150*a**5 + 5*a**2 + 0*a + 0*a**4. Solve j(p) = 0.
-1, 0
Let h(m) be the third derivative of -m**6/900 - m**5/225 - 20*m**2. Factor h(q).
-2*q**2*(q + 2)/15
Let r(y) be the third derivative of y**5/300 - 6*y**2. Suppose r(u) = 0. Calculate u.
0
Let y(b) = -b**5 + b**4 + b**3 + b. Let u(g) = -132*g**5 + 24*g**4 + 96*g**3 - 32*g**2 + 28*g. Let w(j) = -u(j) + 24*y(j). Factor w(n).
4*n*(n + 1)*(3*n - 1)**3
Let h(u) be the third derivative of 5*u**8/1848 + 2*u**7/1155 - u**6/132 - u**5/165 + 5*u**2. Find k such that h(k) = 0.
-1, -2/5, 0, 1
Suppose -4*r + 7 = 5*m + 1, -4*m = r - 7. Factor 3/4*n + 0 - 3/4*n**m.
-3*n*(n - 1)/4
Let a = -698 - -698. Factor -2*q**3 + 0 + a*q**2 - 2/3*q**4 + 8/3*q.
-2*q*(q - 1)*(q + 2)**2/3
Suppose x + 4*t - 6 = 8, 3*x = 2*t. What is i in x*i**4 - 28*i**3 - 3*i**2 + 2*i + 2 - i**2 + 2*i**5 + 24*i**3 = 0?
-1, 1
Let q be (-5 - -1)*1 + 414/90. Factor 0 + q*h**2 + 3/5*h - 3/5*h**4 - 3/5*h**3.
-3*h*(h - 1)*(h + 1)**2/5
Solve -3*p**2 + 24*p + 1 - 29 - 20 = 0.
4
Let l(q) be the third derivative of 0 + 1/18*q**4 + 1/60*q**6 - 3*q**2 - 1/504*q**8 + 0*q + 1/18*q**5 - 1/315*q**7 + 0*q**3. Factor l(h).
-2*h*(h - 2)*(h + 1)**3/3
Let t(u) be the first derivative of u**6/288 + 7*u**5/480 + u**4/48 - u**3 + 6. Let z(f) be the third derivative of t(f). What is q in z(q) = 0?
-1, -2/5
Factor -