 + 3)**2/2
Let f(r) be the third derivative of r**5/40 - 7*r**4/32 - 9*r**3/8 - r**2. Let f(l) = 0. What is l?
-1, 9/2
Let w be (-1)/((-7)/2 - -3). Factor 1 + 2*d - 3*d - 7*d**3 + 8*d**3 - d**w.
(d - 1)**2*(d + 1)
Let u(d) = d**2 - 12*d - 10. Let x be u(13). Let q(r) be the first derivative of 0*r + 2/21*r**x + 0*r**2 + 2. Factor q(t).
2*t**2/7
Let t(j) = j - 13. Let k be t(-9). Let h = -20 - k. Factor 2/7 - 6/7*b - 2/7*b**3 + 6/7*b**h.
-2*(b - 1)**3/7
Let c(z) = -6*z**2 - 19*z - 23. Let f(k) = 3*k**2 + 10*k + 11. Let x(a) = 2*c(a) + 5*f(a). Factor x(j).
3*(j + 1)*(j + 3)
Let l be ((-176)/40)/((-6)/55). Let p = l - 40. Factor 0 + 1/3*g - 1/3*g**2 - 1/3*g**3 + p*g**4.
g*(g - 1)**2*(g + 1)/3
Let m(x) be the second derivative of x**7/14 + 3*x**6/10 - 3*x**5/10 - 3*x**4/2 + x**3/2 + 9*x**2/2 + 19*x. Determine w, given that m(w) = 0.
-3, -1, 1
Let h(m) be the second derivative of -3/2*m**2 + 1/4*m**4 + 0 + 0*m**3 - 3*m. Factor h(q).
3*(q - 1)*(q + 1)
Let f(q) be the second derivative of -q**8/6720 + q**6/720 - q**4/12 + 6*q. Let m(p) be the third derivative of f(p). Find c, given that m(c) = 0.
-1, 0, 1
Let z(w) = 9*w**5 + 6*w**4 - 19*w**3 - 11*w**2 + 11*w + 6. Let k(n) = n**5 - n**4 - n**3 + n**2 - n - 1. Let t(c) = -k(c) - z(c). Suppose t(v) = 0. What is v?
-1, -1/2, 1
Let k(f) = -f**2 + 8*f - 7. Let r be k(6). Suppose 13 = r*a + 3. Solve 2/9*w**a - 2/9*w + 0 = 0.
0, 1
Let i(k) be the first derivative of k**2 + 9*k**2 - 6 + 6*k**3 - 3*k**2 - 4*k. Factor i(m).
2*(m + 1)*(9*m - 2)
Let y(t) be the third derivative of 0*t**5 + 1/672*t**8 + 0*t**3 + 0 + 3*t**2 + 0*t + 0*t**4 + 0*t**6 - 1/420*t**7. Factor y(x).
x**4*(x - 1)/2
Let p(x) be the first derivative of x**4/28 - 3*x**2/14 + 2*x/7 + 21. Factor p(h).
(h - 1)**2*(h + 2)/7
Let q be (8/590)/(16/(-40)). Let k = 132/413 + q. What is m in 0*m + 0 + 6/7*m**3 + 4/7*m**2 + k*m**4 = 0?
-2, -1, 0
Let a(f) be the second derivative of f**4/12 + 5*f**3/3 + 3*f**2/2 + 10*f. Let x be a(-10). Factor -14/3*r + 4/3 - 10/3*r**2 + 8/3*r**x.
2*(r - 2)*(r + 1)*(4*r - 1)/3
Suppose 60*x = 65*x. Determine n so that 2/3*n**2 - 2/3*n**3 + x + 4/3*n = 0.
-1, 0, 2
Let i = 85/407 + -1/37. Factor 0 + 0*z + 2/11*z**3 + i*z**2.
2*z**2*(z + 1)/11
Let r = -4 + 6. Factor -3*f**2 - 4*f**2 + r*f**3 + 5*f**2 + 0*f**2.
2*f**2*(f - 1)
Let n(x) = -12*x**5 - 12*x**4 + 8*x**3 + 8*x**2 - 8*x. Let r(z) = 4*z**5 + 4*z**4 - 3*z**3 - 3*z**2 + 3*z. Let v(y) = -3*n(y) - 8*r(y). Solve v(c) = 0.
-1, 0
Suppose 0 - 1/2*z - 3*z**3 - 7/2*z**2 = 0. What is z?
-1, -1/6, 0
Let l(q) = -9*q**2 - 80*q - 80. Let m(v) = 2*v**2 + 16*v + 16. Let z(a) = 2*l(a) + 11*m(a). Solve z(d) = 0 for d.
-2
Let c(y) = 7*y**5 + 7*y**4 - 6*y**3 - 2*y**2 + 9*y. Let l(s) = 4*s**5 + 4*s**4 - 3*s**3 - s**2 + 5*s. Let w(g) = -3*c(g) + 5*l(g). Factor w(p).
-p*(p - 1)**2*(p + 1)*(p + 2)
Let t(r) be the third derivative of 1/120*r**6 - 1/24*r**4 + 0*r**3 + 0 + r**2 + 0*r - 1/210*r**7 + 1/60*r**5. Factor t(v).
-v*(v - 1)**2*(v + 1)
Suppose -19 - 16*w**2 + 4*w**3 + 11 + 26*w - 6*w = 0. Calculate w.
1, 2
Let s = 46 - 26. Let u = s - 16. Factor -2/3*f**3 + 0*f + 2/3*f**5 + 0 - 2/3*f**u + 2/3*f**2.
2*f**2*(f - 1)**2*(f + 1)/3
Let v(x) be the second derivative of -x**6/180 - x**5/60 + x**4/72 + x**3/18 + 13*x. Let v(o) = 0. What is o?
-2, -1, 0, 1
Factor -13*l**4 - 896*l**5 + l**4 - 3*l**4 + 4*l**2 + 50*l**3 + 47*l**4.
-2*l**2*(7*l - 2)*(8*l + 1)**2
Let h(k) = k - 1. Let z(g) = -2*g**2 + 16*g - 12. Let y(d) = 12*h(d) - z(d). Solve y(u) = 0 for u.
0, 2
Let d be (-2)/(-9) - ((-904)/468 - -2). Suppose 0 - d*n**2 + 4/13*n = 0. What is n?
0, 2
Factor -7*q**2 - 9 + 9 - 2*q.
-q*(7*q + 2)
Let m = -4/21 - -101/420. Let l(h) be the first derivative of m*h**5 - 3/2*h**2 - 3/8*h**4 + 1 + h + 13/12*h**3. Factor l(v).
(v - 2)**2*(v - 1)**2/4
Suppose -82 = 3*h - 13. Let s = h + 25. Solve 0*u**s - 1/2*u**3 + 1/4*u**5 + 0*u**4 + 1/4*u + 0 = 0 for u.
-1, 0, 1
Let z(m) = 3*m**2 - 4*m + 6. Let f(o) = -4*o**2 + 4*o - 7. Let n(d) = -2*f(d) - 3*z(d). Find s such that n(s) = 0.
2
Factor -6*d**2 + 4*d**4 + 4*d**3 + 2*d**2 - 4*d**3 - 2*d + 2*d**5.
2*d*(d - 1)*(d + 1)**3
Let y(f) be the first derivative of -2*f**7/21 + 2*f**6/3 - 8*f**5/5 + 4*f**4/3 + 5*f + 3. Let h(d) be the first derivative of y(d). Factor h(c).
-4*c**2*(c - 2)**2*(c - 1)
Suppose -v - 11*v + 5*v**2 - 8*v**2 - 12 = 0. Calculate v.
-2
Suppose -3*o + o = -4. What is x in 10 + 2*x + o*x**3 + 4*x**2 - 10 = 0?
-1, 0
Let p(t) be the third derivative of -t**10/60480 - t**9/60480 + t**8/8064 + t**7/5040 - t**5/60 + 3*t**2. Let m(o) be the third derivative of p(o). Factor m(x).
-x*(x - 1)*(x + 1)*(5*x + 2)/2
Let x(f) be the third derivative of -f**6/30 + 2*f**5/15 + 9*f**2. Factor x(s).
-4*s**2*(s - 2)
Let n be (-24 - -24)/((-2)/(-2)). Let b(r) be the first derivative of 1/6*r**4 + 0*r**5 + 4 - 1/18*r**6 + 0*r**3 + n*r - 1/6*r**2. Find k such that b(k) = 0.
-1, 0, 1
Let k(v) be the first derivative of 2*v**3/15 - 2*v**2/5 + 2*v/5 + 2. Factor k(t).
2*(t - 1)**2/5
Let v = -4 + 0. Let g be ((-10)/v)/(10/20). Factor -1/2*p - 1/2 - 1/2*p**g + p**2 + p**3 - 1/2*p**4.
-(p - 1)**2*(p + 1)**3/2
Let d = 173/6 - 55/2. Find r such that -13/3*r**2 - 1/3*r**4 + 4*r + 2*r**3 - d = 0.
1, 2
Let t(p) be the second derivative of -p**7/14 - 11*p**6/40 + 9*p**5/80 + p**4 - p**3/2 - 5*p. Solve t(k) = 0 for k.
-2, 0, 1/4, 1
Let n = 18 - 9. Let u = -26/3 + n. Factor 5/3*j - u - 4/3*j**2.
-(j - 1)*(4*j - 1)/3
Determine t so that -3/2*t**2 + t + 1/2 = 0.
-1/3, 1
Suppose -2/17*a**5 + 4/17*a**3 + 14/17*a - 16/17*a**2 - 4/17 + 4/17*a**4 = 0. What is a?
-2, 1
Let -2*j + j**5 - 5*j**4 + 3*j**2 + 4*j**4 - 3*j**3 - j**2 + 3*j**2 = 0. What is j?
-2, 0, 1
Let r be 36/60*1/72. Let v(c) be the third derivative of 0*c**4 + 0 + 0*c**3 - 1/30*c**5 + 2*c**2 + r*c**6 + 0*c. Factor v(x).
x**2*(x - 2)
Let s(g) be the first derivative of g**3/9 + g**2/2 + 2*g/3 + 6. Suppose s(p) = 0. Calculate p.
-2, -1
Let y(j) = -4*j**2. Let b(i) = 9*i**2 - i. Suppose -3*m + 15 = -0. Let n(l) = m*y(l) + 2*b(l). Let n(t) = 0. What is t?
-1, 0
Suppose -97*k + 4 = 2*p - 99*k, 0 = -2*p + 5*k + 4. Determine m, given that -2/5*m**5 + 4/5*m**4 + 2/5*m + 0 + 0*m**3 - 4/5*m**p = 0.
-1, 0, 1
Let d(w) = w**3 + 4*w**2 - 6*w - 6. Let t be d(-4). Factor j - 3*j - 3 + 0*j - j + t*j**2.
3*(2*j - 1)*(3*j + 1)
Let c(d) be the third derivative of -d**7/2520 + d**6/720 - d**4/24 - 3*d**2. Let b(p) be the second derivative of c(p). Factor b(h).
-h*(h - 1)
Let j(v) be the first derivative of -2*v**6/3 + 8*v**5/5 + v**4 - 8*v**3/3 + 7. Solve j(u) = 0 for u.
-1, 0, 1, 2
Let w(a) = a**4 + 5*a**3 - 5*a**2 + 3*a + 2. Let p(q) = 2*q**4 + 6*q**3 - 6*q**2 + 4*q + 3. Let g(t) = -2*p(t) + 3*w(t). Factor g(i).
-i*(i - 1)**3
Let h(f) = 2*f + 1. Let c be h(1). Let -6*u**4 + 2*u**5 + c*u**3 + 3*u**3 + 0*u**5 - u**2 - u**2 = 0. What is u?
0, 1
Let o(k) be the first derivative of -7*k**3/15 - 3*k**2/10 - 38. Factor o(d).
-d*(7*d + 3)/5
Let o(q) be the second derivative of q**6/1800 + q**3/2 - q. Let a(i) be the second derivative of o(i). Let a(r) = 0. Calculate r.
0
Let d = -573 - -1104. Let k = -3711/7 + d. Factor -4/7 - 2/7*f**2 + k*f.
-2*(f - 2)*(f - 1)/7
Let j = -5/57 + 1103/228. Factor -4*k**4 - k**5 - 7/4*k - 1/4 - j*k**2 - 25/4*k**3.
-(k + 1)**3*(2*k + 1)**2/4
Let -49/2*a**4 - 16*a**2 + 2*a + 0 + 77/2*a**3 = 0. Calculate a.
0, 2/7, 1
Let x = 8/3 - 2. Factor x*p + 0 - 1/3*p**2.
-p*(p - 2)/3
Let h(g) be the third derivative of 0 - 3/8*g**4 - 1/20*g**5 + 0*g - g**3 + 5*g**2. Find r such that h(r) = 0.
-2, -1
Let v be ((-6)/(-7))/(5/35). Find j such that -3*j**2 + v*j**4 - 3*j**3 - 6*j**5 + 3*j**2 + 3*j**5 = 0.
0, 1
Let c(f) be the first derivative of 1/2*f**2 + 0*f - 2 + 1/3*f**3. Find h such that c(h) = 0.
-1, 0
Let l(z) be the first derivative of -2*z**5 - 6*z**4 - 6*z**3 - 2*z**2 - 17. Solve l(h) = 0 for h.
-1, -2/5, 0
Let u(l) be the third derivative of 1/270*l**5 + 8*l**2 + 1/108*l**4 + 0 + 0*l**3 + 0*l. Determine t, given that u(t) = 0.
-1, 0
Let m(l) be the second derivative of 1/36*l**4 + 0*l**2 + 1/30*l**5 + 1/90*l**6 + 2*l + 0*l**3 + 0. Find g, given that m(g) = 0.
-1, 0
Suppose 0*c + 9 = 3*c. Factor 4*m**2 + 0*m**4 + 30 - 30 - c*m**4 - m**5.
-m**2*(m - 1)*(m + 2)**2
Find a such that -16/3 + 80/3*a - 12*a**4 - 148/3*a**2 + 40*a**3 = 0.