first derivative of -l**7/280 + l**6/48 - l**5/20 + l**4/16 - l**3/24 - l**2/2 - 1. Let j(r) be the second derivative of b(r). Factor j(c).
-(c - 1)**3*(3*c - 1)/4
Let s(z) be the first derivative of -z**5/80 - z**4/48 + z**3/12 - 2*z - 2. Let r(j) be the first derivative of s(j). Find h, given that r(h) = 0.
-2, 0, 1
Factor 3 + 11*g**3 - 4 + 17 + 484*g**4 + 208*g + 852*g**2 + 1133*g**3.
4*(g + 1)**2*(11*g + 2)**2
Let g = 109/6 - 18. Let b(z) be the first derivative of 1/4*z - g*z**3 - 2 + 0*z**4 + 1/20*z**5 + 0*z**2. Factor b(a).
(a - 1)**2*(a + 1)**2/4
Let d(t) be the first derivative of -1/6*t**3 - 1/2*t + 1/2*t**2 + 4. Find b such that d(b) = 0.
1
Let w(n) be the third derivative of 2*n**2 + 1/210*n**7 + 1/120*n**6 + 0*n**5 + 0*n + 0*n**4 + 0 + 0*n**3. Factor w(z).
z**3*(z + 1)
Let q(i) be the second derivative of -13*i**6/48 - i**5/10 + i**4/24 - 46*i. Factor q(a).
-a**2*(5*a + 2)*(13*a - 2)/8
Let -2 - 5*i + 36*i**2 - 3*i + 2 = 0. Calculate i.
0, 2/9
Let n be -1*((-2)/(-4) - (-30)/(-12)). Factor -1/5*d**n + 1/5*d**3 + 1/5*d**4 - 1/5*d + 0.
d*(d - 1)*(d + 1)**2/5
Let t(d) be the third derivative of -d**6/960 - d**5/480 + d**4/192 + d**3/48 + 2*d**2. Factor t(q).
-(q - 1)*(q + 1)**2/8
Let r = 10 - 39/4. Let f(h) be the first derivative of -r*h**2 + h - 1 - 1/6*h**3. Find k such that f(k) = 0.
-2, 1
Let n = 4 + 16. Factor 22*t - 2*t**2 + t**2 - n*t.
-t*(t - 2)
Let s be (-1 + 5)*(-17)/(-34). Let d = 13 - 8. Determine o so that -2*o + s*o + o**d = 0.
0
Let 14/3*d**5 - 4/3*d**4 - 14/3*d**3 + 0 + 4/3*d**2 + 0*d = 0. Calculate d.
-1, 0, 2/7, 1
Let m = 24 - 20. Let f(j) be the second derivative of -3*j - 1/4*j**m - 1/20*j**5 - 1/2*j**3 - 1/2*j**2 + 0. Let f(w) = 0. What is w?
-1
Let o(u) be the second derivative of -u**5/35 - 2*u**4/21 + 2*u**3/21 + 4*u**2/7 + 15*u. Factor o(z).
-4*(z - 1)*(z + 1)*(z + 2)/7
Let h = 1369/3 - 456. Suppose 0 = -5*g + 2*g. Factor 0*x + 0 + 1/3*x**5 + g*x**4 + 0*x**2 - h*x**3.
x**3*(x - 1)*(x + 1)/3
Let r = 23 + -50. Let k be ((-8)/18)/(18/r). Find s, given that 2/3*s**3 + 0*s + 0*s**2 - k*s**4 + 0 = 0.
0, 1
Factor -20*s**5 + 6*s**4 - 6*s**3 - 4*s**2 + 2*s**2 + 18*s**5 + 4*s**2.
-2*s**2*(s - 1)**3
Solve -5*w + 58*w**3 + 10*w + 15*w**2 - 43*w**3 - w**4 + 6*w**4 = 0 for w.
-1, 0
Suppose -2*u = -s - 9, 4 - 2 = -2*s. Let t(n) be the first derivative of 1 + n**2 + 0*n - n**5 + 5/3*n**3 - 9/4*n**u + 7/6*n**6. Suppose t(c) = 0. Calculate c.
-1, -2/7, 0, 1
Factor 0 + w**2 + 1/2*w**3 + 0*w.
w**2*(w + 2)/2
Let b(n) = n**4 + n**3 + n. Let t(w) = -3*w**4 + 2*w**3 - 5*w**2. Let h(u) = 10*b(u) + 5*t(u). Find m, given that h(m) = 0.
0, 1, 2
Let k = 49895/72 - 693. Let z = k + 181/72. Factor -s**5 - 5*s**3 + 1/4 - 15/4*s**4 - z*s**2 + 0*s.
-(s + 1)**4*(4*s - 1)/4
Let a(k) be the second derivative of -k**5/10 + k**3/3 - 4*k. Solve a(g) = 0.
-1, 0, 1
Let x(j) be the second derivative of j**6/15 - 11*j**5/5 + 28*j**4 - 490*j**3/3 + 343*j**2 - 42*j. Factor x(z).
2*(z - 7)**3*(z - 1)
Suppose f + 12 = 4*q - 0*f, -5*q + f = -16. Suppose -q*d**2 + 2*d**2 + d**2 = 0. What is d?
0
Let a be 16/(-18)*(-9)/6. Find g such that -16/3*g + a + 5/3*g**2 + 7/3*g**3 = 0.
-2, 2/7, 1
Let m be 3/6*(5 - -1). Let l(c) = 4*c**3 - 3*c**2 + 2. Let h(o) = -9*o**3 + 6*o**2 + o - 5. Let j(w) = m*h(w) + 7*l(w). What is r in j(r) = 0?
1
Let b be (4/14)/(528/1458). Let r = b - -3/44. Factor -2/7*q**4 + 0 - r*q**3 - 2/7*q - 6/7*q**2.
-2*q*(q + 1)**3/7
Suppose -i = -0*i + 5. Let k(v) = 7*v**2 + 3*v + 5. Let m(o) = 4*o**2 + 2*o + 3. Let p(r) = i*m(r) + 3*k(r). Factor p(u).
u*(u - 1)
Let p(b) = 45*b - 6. Let o be p(5). Let r = o - 1529/7. Let 2/7 + r*g + 2/7*g**2 = 0. What is g?
-1
Let o be (-4)/6 - 46/(-69). Let m(w) be the third derivative of o - 1/525*w**7 + 0*w**4 - w**2 + 0*w**5 + 0*w**3 + 1/300*w**6 + 0*w. Factor m(k).
-2*k**3*(k - 1)/5
Let j(t) be the third derivative of -2*t**7/105 + t**6/20 + 23*t**5/240 - 5*t**4/32 + t**3/12 - 2*t**2. Find w such that j(w) = 0.
-1, 1/4, 2
Let -4/7*i + 1/7*i**4 + 1/7*i**3 - 6/7*i**2 + 8/7 = 0. What is i?
-2, 1, 2
Let g(c) = 25*c**2 + 13*c. Let s(h) = -38*h**2 - 20*h. Let i = 16 + -24. Let w(z) = i*g(z) - 5*s(z). Solve w(a) = 0.
-2/5, 0
Suppose -2*h - 7 = -5*h - 5*w, 0 = w + 1. Factor 1 + 5*r**4 + h*r**3 + 0*r - 9*r**4 + 3*r**2 - 4*r.
-(r - 1)*(r + 1)*(2*r - 1)**2
Let m(y) = y**2 - 22*y + 57. Let i be m(19). Factor 4/9*v**2 + 14/9*v**4 + 0 + i*v + 2*v**3.
2*v**2*(v + 1)*(7*v + 2)/9
Let s(l) be the third derivative of l**6/320 + 11*l**5/160 + 3*l**4/8 - 9*l**3/4 - 19*l**2 - 2*l. Factor s(x).
3*(x - 1)*(x + 6)**2/8
Suppose 16 = -2*y - 2. Let n(d) = -3*d**2 + 2*d + 1. Let i(m) = 7*m**2 - 4*m - 2. Let t(x) = y*n(x) - 4*i(x). Find l such that t(l) = 0.
-1
Let a(y) be the second derivative of -y**7/1120 - y**6/160 - 3*y**5/160 - y**4/32 + 5*y**3/6 + 5*y. Let s(i) be the second derivative of a(i). Factor s(g).
-3*(g + 1)**3/4
Let s(q) = 4*q - 16. Let f be s(6). Suppose f*t - 7*t = 0. Suppose t + 2/3*p + 1/3*p**2 = 0. What is p?
-2, 0
Let i = 76859/3180 - 149/212. Let j = 74/3 - i. Factor 3/5*u**3 - 3/5*u - 6/5*u**2 + j.
3*(u - 2)*(u - 1)*(u + 1)/5
Let a(v) be the third derivative of -v**8/504 - v**7/105 - v**6/90 + v**5/45 + v**4/12 + v**3/9 + 12*v**2. What is b in a(b) = 0?
-1, 1
Let h(u) be the second derivative of 0*u**3 + u + 1/12*u**4 + 0 - 1/2*u**2. Factor h(a).
(a - 1)*(a + 1)
Let p(i) = 15*i**3 + 45*i**2 + 35*i + 10. Let y(c) = -c**2. Let j(f) = p(f) + 5*y(f). Determine n, given that j(n) = 0.
-1, -2/3
Factor 1/3*j - 1/3*j**3 - 2/3 + 2/3*j**2.
-(j - 2)*(j - 1)*(j + 1)/3
Suppose -i**2 - i**3 - 5*i**2 + 3*i**2 + 2*i**2 = 0. Calculate i.
-1, 0
Let u be (-2)/3 + -2 - (-15 - -12). Factor -u*c**4 + 0 + 1/3*c**3 + 0*c**2 + 0*c.
-c**3*(c - 1)/3
Solve -1/4*l**2 + 1/4 + 0*l = 0.
-1, 1
Let v(q) = 2*q**2 + 3*q + 2. Let j be v(-2). Factor j*a**5 - 3*a**5 - 6*a**3 + 5*a**3.
a**3*(a - 1)*(a + 1)
Let d be 2 + (-12)/4 + 5. Suppose -b + 5*w + d = 0, w = -4*b + 2*w + 16. Factor 0*x**3 + 1/4*x**b + 0*x + 0 + 0*x**2.
x**4/4
Find r, given that -8/15*r + 0 - 46/15*r**2 - 4*r**3 + 6/5*r**4 = 0.
-1/3, 0, 4
Let p(b) be the second derivative of b**4/3 + 2*b**3 + 4*b**2 - 4*b. Factor p(d).
4*(d + 1)*(d + 2)
Suppose 0 = 2*y - 6, -5*t - 5*y + 21 = -2*t. Suppose -2*p**4 - 2*p**t + p**2 - 4*p**2 - p**2 - 6*p**3 - 2*p = 0. What is p?
-1, 0
Determine o so that -1 + 24*o + 12*o**3 - 2*o**4 - 5 - 24*o**2 - 2 - 2*o**2 = 0.
1, 2
Let b(m) be the third derivative of 0 - 1/80*m**5 - 1/80*m**6 - 3*m**2 + 3/280*m**7 + 0*m + 0*m**4 + 0*m**3. Factor b(u).
3*u**2*(u - 1)*(3*u + 1)/4
Let l = -4 - -3. Let i = 3 - l. Factor -14*w**3 + 7*w + 2 - 18*w**2 - 17*w - 4*w**i - 4.
-2*(w + 1)**3*(2*w + 1)
Let x be (5/120)/(1/2). Let u(i) be the third derivative of i**2 + 1/60*i**6 + 0*i**3 + 0 - 1/105*i**7 + 1/30*i**5 - x*i**4 + 0*i. Solve u(g) = 0 for g.
-1, 0, 1
Let x(g) = 9*g**4 + 13*g**3 - 7*g**2 - 11*g - 11. Let o(i) = 5*i**4 + 7*i**3 - 4*i**2 - 6*i - 6. Let n(y) = 11*o(y) - 6*x(y). Factor n(j).
j**2*(j - 2)*(j + 1)
Let t = 78 + -75. Find w, given that -2/7*w**t + 0 + 4/7*w**2 - 2/7*w = 0.
0, 1
Factor 1/2 - 1/4*d**2 + 1/4*d.
-(d - 2)*(d + 1)/4
Let l(p) be the third derivative of p**4/8 - 5*p**3/3 - 6*p**2. Let k be l(4). Factor -2/3*j**k - 2/3 + 4/3*j.
-2*(j - 1)**2/3
Let h = -448 - -9410/21. Let b(m) be the first derivative of 2/7*m**4 + 0*m - h*m**3 - 2/7*m**2 - 1 + 6/35*m**5. Let b(o) = 0. Calculate o.
-1, 0, 2/3
Let x(j) be the second derivative of j**6/210 + j**5/140 - j**4/84 - j**3/42 - 7*j. Factor x(v).
v*(v - 1)*(v + 1)**2/7
Factor -q + 1/3*q**2 + 2/3.
(q - 2)*(q - 1)/3
Let t(r) be the first derivative of -3*r**3 + 3/4*r**4 - 2 - 3*r + 9/2*r**2. Find h, given that t(h) = 0.
1
Let k(g) be the second derivative of g**7/252 - g**6/60 + g**5/60 + g**4/36 - g**3/12 + g**2/12 + g - 9. Factor k(f).
(f - 1)**4*(f + 1)/6
Suppose -4/7*k - 2/7*k**2 - 2/7 = 0. Calculate k.
-1
Suppose -5*t + 3 + 7 = 0. Solve 10*f**3 - 2*f - 6*f + 32*f**t + 10*f**4 - 44*f**3 = 0.
0, 2/5, 1, 2
Let h(k) = -9*k**2 - 21*k + 7. Let b(p) = -3*p**2 - 7*p + 2. Let d(q) = 11*b(q) - 4*h(q). Factor d(t).
(t + 3)*(3*t - 2)
Suppose 3*j + 5*a - 17 = 0, 8 = 5*j - 3*a - 9. Suppose j*g - b = 9, -5*b = -g - g + 9. Find h such that 2/3*h**3 + 2/3*h**4 - 2/3*h - 2/3*h**g + 0 = 0.
-1, 0, 1
Factor -3*r**2 + 0*r + r**4 +