d derivative of -5*f**7/42 + f**6/6 + f**5/4 - 5*f**4/12 - 11*f. Solve s(a) = 0.
-1, 0, 1
Let w be 6/(-39) + 115/325. Let s(z) be the second derivative of 2*z + 1/30*z**4 + 2/15*z**3 + 0 + w*z**2. Factor s(k).
2*(k + 1)**2/5
Let f(a) = a**4 + a**3 - 2*a**2. Let b(o) = 2*o**4 + o**3 - 3*o**2. Let k(t) = -2*b(t) + 3*f(t). Factor k(d).
-d**3*(d - 1)
Let g be ((-2)/3)/(13/(-26)). Let j(r) be the third derivative of -1/3*r**4 + 0*r + 0 - r**2 + 1/30*r**5 + g*r**3. Let j(t) = 0. What is t?
2
Let l(f) be the second derivative of 5*f**9/9072 + f**8/2520 - 2*f**3/3 - f. Let q(z) be the second derivative of l(z). Determine y, given that q(y) = 0.
-2/5, 0
Let h(v) be the first derivative of 7*v**6/60 + 2*v**5/5 + 11*v**4/24 + v**3/6 - 8*v + 1. Let f(x) be the first derivative of h(x). Find m such that f(m) = 0.
-1, -2/7, 0
Suppose 0*f + f - 2 = 0. Suppose 4 = -f*k, -4*p = -0*k - 5*k - 18. Factor 1/4*a**5 - 1/4*a**4 + 1/2*a**p - 1/2*a**3 + 1/4*a - 1/4.
(a - 1)**3*(a + 1)**2/4
Let u(y) be the first derivative of y**7/1680 + y**6/360 - y**5/240 - y**4/24 + y**3 + 7. Let s(w) be the third derivative of u(w). Factor s(o).
(o - 1)*(o + 1)*(o + 2)/2
Let l(x) be the third derivative of -x**7/280 + 7*x**6/480 - x**5/80 - x**4/32 + x**3/12 - 3*x**2 - 12. Solve l(b) = 0 for b.
-2/3, 1
Let j = -8 + 7. Let q(u) = -u**3 - 6*u**2 + u. Let v(i) = i**2. Suppose -3*f = 20 - 2. Let d(x) = f*v(x) + j*q(x). Factor d(p).
p*(p - 1)*(p + 1)
Let a(j) be the third derivative of j**6/160 + j**5/40 - j**4/32 - j**3/4 - 9*j**2. Determine u, given that a(u) = 0.
-2, -1, 1
Let n(x) be the first derivative of x**4/12 - 2*x**3/9 - 13*x**2/6 - 10*x/3 - 12. Factor n(c).
(c - 5)*(c + 1)*(c + 2)/3
Let y = -1 + -6. Let w = y - -11. Factor 1/4*l**w + 0*l**3 + 0 + 0*l - 1/4*l**2.
l**2*(l - 1)*(l + 1)/4
Let c(b) be the first derivative of b**5/10 - 5*b**4/16 - b**3/4 + b**2 + b + 12. What is y in c(y) = 0?
-1, -1/2, 2
Let -5*y + 8*y + 4*y**2 + 4 + 5*y = 0. What is y?
-1
Factor -22*q**3 + 15*q**2 + 19*q**3 - 6*q + 24*q**3.
3*q*(q + 1)*(7*q - 2)
Let k(a) be the third derivative of a**9/37800 - a**7/6300 + a**4/24 + 2*a**2. Let d(c) be the second derivative of k(c). What is h in d(h) = 0?
-1, 0, 1
Let b(f) be the third derivative of -f**7/840 - 5*f**2. Factor b(t).
-t**4/4
Let p(w) be the second derivative of -w**6/420 + w**5/105 + w**2 - 3*w. Let d(v) be the first derivative of p(v). Factor d(n).
-2*n**2*(n - 2)/7
Let q = 2908/3409 - -2/487. Determine v, given that -q*v**2 + 6/7*v + 2/7*v**3 - 2/7 = 0.
1
Let z(j) = -2*j**3 + 2*j**2 - 2*j + 1. Let s be z(1). Let l be (1*-17)/(s - 2). Factor -5/3*x**5 - l*x**4 - 7*x**3 - 2/3*x + 0 - 11/3*x**2.
-x*(x + 1)**3*(5*x + 2)/3
Factor -3/5*n**4 - 27/5 + 72/5*n + 24/5*n**3 - 66/5*n**2.
-3*(n - 3)**2*(n - 1)**2/5
Suppose -i = -4*c - 0*i + 6, -c + 2*i - 2 = 0. Let x(k) = k - 4. Let n be x(5). Let n - 1 + c*j**2 - 6*j + 2*j + 2 = 0. Calculate j.
1
Let n(u) be the second derivative of -u**4/48 - u**3/8 + u**2/2 + 32*u. Factor n(s).
-(s - 1)*(s + 4)/4
Let p(u) be the first derivative of -15/4*u**4 + 0*u - 2/3*u**6 - 1/2*u**2 - 4 - 7/3*u**3 - 13/5*u**5. Factor p(f).
-f*(f + 1)**3*(4*f + 1)
Let p(s) be the third derivative of 7*s**6/30 - 16*s**5/15 + 11*s**4/6 - 4*s**3/3 - 9*s**2. Factor p(o).
4*(o - 1)**2*(7*o - 2)
Let w(i) be the first derivative of -1 + 0*i**2 + 2/3*i**6 - 12/5*i**5 + 9/4*i**4 + 0*i - 2/3*i**3. Suppose w(g) = 0. What is g?
0, 1/2, 2
Let j(z) be the first derivative of -1/1260*z**6 - 1 + 0*z + 0*z**5 + 0*z**4 + 0*z**2 - z**3. Let v(b) be the third derivative of j(b). Factor v(y).
-2*y**2/7
Determine u, given that -1/5*u**3 + 0*u - 2/5*u**2 + 0 = 0.
-2, 0
Let t be 1 + (-1)/((-33)/(-27)). Find g such that 0 - 2/11*g**2 + 2/11*g**4 - t*g + 2/11*g**3 = 0.
-1, 0, 1
Let z = -20 - -10. Let o be 5/(-10) + (-13)/z. Find b, given that 8/5*b**2 - 2*b + o - 2/5*b**3 = 0.
1, 2
Factor -2*s + 2*s + 8*s - 4*s**2.
-4*s*(s - 2)
Let n(b) be the third derivative of -b**9/10080 + 7*b**4/24 + 6*b**2. Let c(d) be the second derivative of n(d). Solve c(l) = 0 for l.
0
Let r(f) = -10*f**3 - 2*f**2 - 16*f - 10. Let d(k) = 9*k**3 + 3*k**2 + 15*k + 9. Let o(q) = -7*d(q) - 6*r(q). What is c in o(c) = 0?
-1
Let l(i) be the first derivative of -3*i**4/16 + i**3/12 + 3*i**2/8 - i/4 + 51. Factor l(q).
-(q - 1)*(q + 1)*(3*q - 1)/4
Let i(r) = 12*r + 110. Let a be i(-9). Find n, given that -1/4*n**2 - 4 + a*n = 0.
4
Let c be (4 - 6) + 39/9. Let u = -5 + 9. Determine k, given that k**2 - u*k**3 + 2/3*k + c*k**4 + 0 = 0.
-2/7, 0, 1
Factor -2/9 + 2/9*a + 4/9*a**2.
2*(a + 1)*(2*a - 1)/9
Let m(s) = -s - 2. Let b be m(-3). Let h be 4/(-3)*b/(-2). What is p in -5/3*p**3 + 5/3*p + h - 2/3*p**2 = 0?
-1, -2/5, 1
Let a(w) be the first derivative of -w**6/36 - w**5/15 + 55. Solve a(j) = 0.
-2, 0
Let s(x) = x**3 - 6*x**2 - 7*x + 3. Let o be s(7). Let b(v) = -v**2 - 2*v + 2. Let g(r) = -r. Let a(y) = o*g(y) - b(y). Factor a(w).
(w - 2)*(w + 1)
Let y = 107/186 - 7/93. Factor y + x + 1/2*x**2.
(x + 1)**2/2
Let k be -4 - -201*(-3)/(-150). Let d(s) be the second derivative of 0 + 0*s**2 - k*s**5 + 0*s**4 - s + 0*s**3. Factor d(a).
-2*a**3/5
Let v(d) = d + 2. Let h be v(-2). Suppose -2*j + 4 = 0, -4*j = 4*b + j - 10. Solve -1/2*r**5 - 1/2*r**3 + b*r**2 + r**4 + 0*r + h = 0 for r.
0, 1
Let l(n) be the third derivative of n**8/20160 - n**7/7560 + n**4/8 - 4*n**2. Let f(x) be the second derivative of l(x). Solve f(t) = 0.
0, 1
Solve 18*o**5 - 24*o**4 + 23*o**2 + 0*o - 8*o**3 + o**2 - 2*o**3 - 8*o = 0.
-1, 0, 2/3, 1
Let u(p) be the second derivative of p**7/420 + p**6/810 + 3*p**3/2 - 6*p. Let c(i) be the second derivative of u(i). Factor c(s).
2*s**2*(9*s + 2)/9
Let i(l) be the first derivative of -l**5/150 - l**4/60 + 3*l**2/2 - 2. Let w(o) be the second derivative of i(o). Factor w(v).
-2*v*(v + 1)/5
Let m(k) = -16*k**2 + 44*k - 24. Let l(i) = -i**2 - i + 1. Let s(p) = -20*l(p) - m(p). Factor s(b).
4*(3*b - 1)**2
Suppose -15 = -5*l + 2*l. Let z(u) be the first derivative of -1/12*u**2 - 1/36*u**6 + 1/30*u**l - 1/9*u**3 + 1/6*u + 1/12*u**4 + 3. Solve z(w) = 0 for w.
-1, 1
Let z be (0 - (-8)/6) + -1. Suppose 41 - 11 = 15*g. What is q in 0*q + 1/3*q**g + z*q**3 + 0 = 0?
-1, 0
Suppose 2*y + 5 - 9 = 0. Let i = -2209/7 - -317. Factor -8/7*h**y + i*h - 4/7 + 2/7*h**3.
2*(h - 2)*(h - 1)**2/7
Let g(w) be the first derivative of -10*w**3/3 + 4*w**2 + 2*w + 8. Factor g(l).
-2*(l - 1)*(5*l + 1)
Suppose -o + 2*f + 16 = 0, -2*f + 14 = 2*o + 2*o. Let u be (o/(-8))/((-4)/16). Suppose -8/3*j**2 - 8/3*j**4 + 0 + 4*j**u + 2/3*j + 2/3*j**5 = 0. What is j?
0, 1
Find h such that -1/9*h**3 - 1/9*h**2 - 1/3 + 5/9*h = 0.
-3, 1
Let r(d) be the second derivative of -7*d**6/6 - 9*d**5/4 + 25*d**4/12 + 15*d**3/2 + 5*d**2 - d + 22. Find w such that r(w) = 0.
-1, -2/7, 1
Let z be (1/(-12) + 4/12)*12. Factor 2/5*p**4 + 6/5*p**2 - 2/5 + 1/5*p - 7/5*p**z.
(p - 2)*(p - 1)**2*(2*p + 1)/5
Let m(u) be the third derivative of u**7/1680 + u**6/720 - u**5/120 - u**3/2 - 4*u**2. Let j(t) be the first derivative of m(t). Factor j(d).
d*(d - 1)*(d + 2)/2
Suppose 0*r - 2*r = 3*h - 22, 4*h - r - 11 = 0. Determine u, given that u**3 - 2*u**4 - u**5 + u**h - 9*u**2 + 10*u**2 = 0.
-1, 0, 1
Let n(x) = 2*x**3 + 5*x**2 - 3*x + 3. Let y(i) = 15*i**3 + 35*i**2 - 20*i + 20. Let c(b) = -20*n(b) + 3*y(b). Factor c(z).
5*z**2*(z + 1)
Let b be (-11)/48 + 1/4. Let c(i) be the second derivative of -b*i**4 + 0 - 2*i + 0*i**3 + 1/8*i**2. Factor c(a).
-(a - 1)*(a + 1)/4
Let h = -6047471/120 + 50396. Let c(f) be the third derivative of 2*f**2 + 0 - 2/3*f**3 + 0*f - h*f**6 - 7/20*f**5 + f**4. Factor c(v).
-(v + 1)*(7*v - 2)**2
Let d = -4 + 6. Solve -t**4 - 3*t**4 - 2*t**3 - d*t**2 + 2*t + 6*t**4 + 0*t**3 = 0 for t.
-1, 0, 1
Let l(q) be the third derivative of -q**7/315 + q**5/90 + 10*q**2. Solve l(f) = 0.
-1, 0, 1
Suppose 4*a - 10 = 2*c, -c + 3*a = 4*c - 3. Factor -4*v**4 + 20*v**2 + 30*v**3 + 16*v**2 + 2*v + c + 13*v**4 + 16*v.
3*(v + 1)**3*(3*v + 1)
Let g = -3/5 - -17/20. Factor -g*k + 1/2 - 1/2*k**2 + 1/4*k**3.
(k - 2)*(k - 1)*(k + 1)/4
Let p(j) be the third derivative of -j**8/84 + j**7/21 - j**6/15 + j**5/30 + 9*j**2. Factor p(n).
-2*n**2*(n - 1)**2*(2*n - 1)
Let j(t) be the second derivative of 0*t**2 - 2/45*t**6 + 1/9*t**4 - 1/9*t**3 - 2*t + 0 + 1/30*t**