.
-2*(f - 2)*(2*f - 1)/3
Let f(v) be the first derivative of v**4/48 + v**3/24 - v**2/4 + 3*v + 9. Let h(j) be the first derivative of f(j). Factor h(c).
(c - 1)*(c + 2)/4
Let r = 14181 + -7740. Let f = -44959/7 + r. Factor -f*h**2 + 32/7*h - 2/7.
-2*(8*h - 1)**2/7
Suppose -o - 4 = c - 2, 2*o = -8. Let y(q) be the first derivative of -8/9*q**3 + 5/3*q**2 - c + 1/6*q**4 - 4/3*q. Suppose y(x) = 0. Calculate x.
1, 2
Suppose -46*p + 37*p = 0. Factor 4/7*b - 6/7*b**2 + 0 + 2/7*b**4 + p*b**3.
2*b*(b - 1)**2*(b + 2)/7
Let u = 171 + -166. Let x = -5 - -8. Determine b so that b**5 - 4*b**3 + 0*b**x - 8*b**4 - u*b**5 = 0.
-1, 0
Let a be 6 + 5/5 + -5. Factor 3*h - 1174*h**2 - a + 1177*h**2 - 16.
3*(h - 2)*(h + 3)
Let a be (8/(-14))/((-42)/147). Determine z, given that 2*z - 6*z**2 - 18*z**3 + 16*z**3 + 6 + 0 - a + 2*z**4 = 0.
-1, 1, 2
Let p = 18 + -12. Let h be p/((-4)/(-12)*6). Suppose -h*q + 3*q**2 + 7*q + 6 + 2*q - 15*q = 0. What is q?
1, 2
Let m be -1 - -1 - 48/(-24). Let -2*k**3 - 2*k**2 - m*k**2 + 25*k**4 - 23*k**4 = 0. Calculate k.
-1, 0, 2
Let s = -1167 + 8172/7. Let -12/7*b**3 - 12/7 + 12/7*b + s*b**4 + 9/7*b**2 = 0. Calculate b.
-1, 1, 2
Factor 0*y**4 + 0*y - 6/17*y**3 + 4/17*y**2 + 0 + 2/17*y**5.
2*y**2*(y - 1)**2*(y + 2)/17
Suppose 4*x = 3*v + 123, x - 6*x + 4*v + 154 = 0. Suppose x*d - 5 - 4*d**2 - 45 - d**2 + 5 = 0. What is d?
3
Suppose 8 = 11*h - 9*h. Suppose -3*z = -2*u - 4, 2*z - z = -2*u + h. Solve 3*f**3 - f**3 - 5*f**3 - z*f - 6*f**2 - f = 0.
-1, 0
Let z be 66 + (4/(-4) - -3). Suppose -59 - 2*o**2 + 133 + 4*o - z = 0. What is o?
-1, 3
What is v in -3712*v**2 + 12*v**4 + 81 - 3803*v**2 + 84*v**3 + 216*v + 7722*v**2 = 0?
-3, -3/2, -1
Let q = -141 + 145. Suppose 4*l**2 - 288*l**5 + l**q - 5*l**2 + 286*l**5 + 2*l**3 = 0. What is l?
-1, 0, 1/2, 1
Solve 95*y + 5*y - 18 - 15*y**2 + 18 = 0 for y.
0, 20/3
Let q(w) = 0 + 6 + 7*w - 9*w. Let c be q(3). Suppose 5*d - 3*d + c*d - 2*d**3 + 2*d + 2*d**2 = 0. What is d?
-1, 0, 2
Let k(r) be the second derivative of r**5/5 + 5*r**4/4 + 11*r**3/6 - 25*r. Let w(l) = -l**3 + l. Let t(o) = k(o) + w(o). Factor t(j).
3*j*(j + 1)*(j + 4)
Let k be (-1)/1 - (-7)/7. Let x(b) = -b + 7. Let d be x(k). Solve 2*f**4 + d*f**3 - 7*f**3 + f - 2*f**2 - f**5 = 0 for f.
-1, 0, 1
Let k(p) be the third derivative of -p**8/84 + 16*p**7/105 - 7*p**6/30 - 6*p**2 - 5. Solve k(y) = 0 for y.
0, 1, 7
Let o(f) be the first derivative of -f**6/6 + 7*f**5/5 - 15*f**4/4 + 3*f**3 + 26. Determine j, given that o(j) = 0.
0, 1, 3
Let n = 110 + -175. Let s = -63 - n. Suppose -4/3 + 10/3*h**2 + s*h = 0. What is h?
-1, 2/5
Let a be ((-72)/(-20))/((-1)/(-5)). Suppose x - 3*x = -a. Solve -9*l + 90*l**4 + 60*l**2 - 3*l - 102*l**3 - x*l**3 - 27*l**5 = 0 for l.
0, 2/3, 1
Let f(y) be the third derivative of 0*y + 1/48*y**5 + 1/6*y**3 + 21*y**2 + 0 - 1/12*y**4 - 1/480*y**6. Factor f(z).
-(z - 2)**2*(z - 1)/4
Let r(q) be the third derivative of -q**8/1680 + q**7/336 - q**6/240 + 3*q**5/10 + 10*q**2. Let k(f) be the third derivative of r(f). Factor k(y).
-3*(y - 1)*(4*y - 1)
Suppose -9*u = -23 + 5. Let t(i) be the second derivative of -1/60*i**5 + 0*i**u - 1/36*i**4 - 5*i + 0*i**3 + 0. Factor t(f).
-f**2*(f + 1)/3
Let t(n) = 2*n**3 + 8*n**2 + 7*n - 3. Let f be t(-3). Let d be (-3 - 0)*1/f. Factor -y - 1/2 - d*y**2.
-(y + 1)**2/2
Let b be (77/14 - 6)*-1. Let l(n) be the first derivative of 0*n**2 + 0*n - 1 + 0*n**3 - 2/5*n**5 + b*n**4. Find q, given that l(q) = 0.
0, 1
Let i(v) be the third derivative of v**6/80 + v**5/5 - 3*v**4/4 - 25*v**3/6 - 6*v**2. Let b(g) be the first derivative of i(g). Factor b(h).
3*(h + 6)*(3*h - 2)/2
Let o(v) be the second derivative of -v**6/600 - v**5/50 - v**4/10 - 8*v**3/3 + 21*v. Let d(n) be the second derivative of o(n). Factor d(k).
-3*(k + 2)**2/5
Suppose 0 = -7*o + 167 - 48. Let m be (-2)/(-4)*(o + -17). Determine f so that -2/3*f**3 + 0 + 4/3*f**2 + m*f = 0.
0, 2
Solve 254 - 2*w**3 - 1698 - w**3 - 6*w**3 - 3762*w - w**3 - 384*w**2 = 0 for w.
-19, -2/5
Let u = 253 + -251. Factor -12/5*d**u - 16/5 - 24/5*d - 2/5*d**3.
-2*(d + 2)**3/5
Let g(u) be the second derivative of u**9/3024 - u**8/672 - u**7/504 + u**6/72 - 5*u**4/12 + 11*u. Let w(s) be the third derivative of g(s). Solve w(l) = 0.
-1, 0, 1, 2
Let a = 427 - 425. Let h(v) be the third derivative of 0*v**3 + 0*v + 1/90*v**5 + 0 + 5*v**a + 1/315*v**7 + 0*v**4 - 1/90*v**6. Find q, given that h(q) = 0.
0, 1
Let q be 27/(-3) + (0 - 1). Let c be q/4*4/(-5). Factor 2*w**c + 7*w - 7*w + w**3.
w**2*(w + 2)
Let a(n) be the second derivative of 1/3*n**3 + 20*n - 1/60*n**4 + 0 - 5/2*n**2. Factor a(l).
-(l - 5)**2/5
Let m be 692/176 - (2 - (-40)/(-22)). Let s = 53/12 - m. Factor -2/9*q**4 + s + 0*q**3 + 4/3*q**2 + 16/9*q.
-2*(q - 3)*(q + 1)**3/9
Let q = 2 + 2. Suppose -q*g = -j - j - 8, 4*g - 12 = 0. Suppose -9 + 3*f**2 - 3*f**2 - 6*f - f**j = 0. What is f?
-3
Factor -4*x - 8/5 - 7/5*x**3 + 26/5*x**2.
-(x - 2)**2*(7*x + 2)/5
Suppose 0 = -5*g + 5*s + 10, -5*g + 3*g - 2*s = -16. Factor -5*a**2 + a**5 - 5*a**3 - 4*a**5 + 5*a**4 + 8*a**g.
5*a**2*(a - 1)*(a + 1)**2
Let s(o) be the third derivative of 1/360*o**5 + 0*o - 3*o**2 + 0*o**3 + 1/48*o**4 + 0. Solve s(k) = 0 for k.
-3, 0
Let k(i) = -2*i**2 + 15*i - 5. Let u be k(7). Factor 7*g**3 + 2*g**5 - 16*g**3 - 5*g**4 - 7*g**2 - 3*g**5 + 0*g**4 - u*g.
-g*(g + 1)**3*(g + 2)
Let m(a) be the second derivative of -a**5/35 + 29*a**4/21 - 52*a**3/7 + 231*a. Factor m(d).
-4*d*(d - 26)*(d - 3)/7
Determine k so that -26/3*k + 0 - 2/3*k**2 = 0.
-13, 0
Let k(y) = -27*y - 133. Let h be k(-5). Suppose 3*n + n - 48 = 0. Factor -5 - h - 1 - 60*l**3 + 13*l**4 + 64*l**2 + 3*l**4 - n*l.
4*(l - 2)*(l - 1)**2*(4*l + 1)
Let c(y) be the third derivative of -11*y**5/15 + 16*y**4/3 + 2*y**3 + 8*y**2 + 14. Find v, given that c(v) = 0.
-1/11, 3
Let c(r) = 0*r**2 + r**5 - r**2 + 9*r**4 - 10*r**4 + r**3 - r. Let y(i) = 23*i**5 + 37*i**4 + 8*i**3 + 2*i**2 + 2*i. Let t(j) = -2*c(j) - y(j). Factor t(z).
-5*z**3*(z + 1)*(5*z + 2)
Suppose 50 = -7*f - 6. Let v be 4/f*-2 + 1. Determine w, given that 0 + 3*w**v - 3/2*w**5 + 0*w + 0*w**4 + 9/2*w**3 = 0.
-1, 0, 2
Let k(x) = -8*x + 570. Let u be k(71). Factor -1/10*d**u + 0 - 1/5*d + 1/10*d**3.
d*(d - 2)*(d + 1)/10
Let j(f) be the first derivative of -4*f**3/3 + 540*f**2 - 72900*f + 200. Factor j(u).
-4*(u - 135)**2
Suppose 55 = -5*s + 10. Let n be s + 14 + (-2)/2. Determine p, given that 293*p**n - p + 3*p**3 + p - 290*p**4 = 0.
-1, 0
Let q(b) be the first derivative of b**5/30 - b**4/6 + 7*b**2/2 + 14. Let d(u) be the second derivative of q(u). Let d(y) = 0. What is y?
0, 2
Let n = 116/3 - 38. Suppose 8*u - 4 = 7*u. Factor 2/3*b**2 + n*b**3 - 2/3*b**u - 2/3*b + 0.
-2*b*(b - 1)**2*(b + 1)/3
Let n(p) be the first derivative of -4/3*p**3 - 21 - 64/5*p + 1/10*p**4 + 32/5*p**2. What is c in n(c) = 0?
2, 4
Let i(j) be the first derivative of 2*j**5/55 + 3*j**4/11 + 6*j**3/11 - 131. Suppose i(n) = 0. Calculate n.
-3, 0
Factor 8 - 11*a**2 + 10*a**2 - 10 + 0*a**2 - 3*a.
-(a + 1)*(a + 2)
Let j be 8*9*10/210. Solve 4/7*w**2 + 2/7*w**5 - j*w + 12/7*w**4 - 16/7 + 22/7*w**3 = 0 for w.
-2, -1, 1
Let 21/4*w - 12 + 51/8*w**2 + 3/8*w**3 = 0. What is w?
-16, -2, 1
Let w = -57 - -94. Let 72*g**4 + 18*g**5 - 50*g**5 - 16*g**3 - 28*g**2 + w*g**3 - 49*g**3 + 4 + 12*g = 0. What is g?
-1/2, -1/4, 1
Let n(r) = 4*r**3 - 14*r**2 - 22*r + 26. Let a(d) = -3*d**3 + 14*d**2 + 21*d - 27. Suppose -3*i = 4*i - 35. Let v(c) = i*n(c) + 6*a(c). Factor v(q).
2*(q - 1)*(q + 4)**2
Let y(u) be the first derivative of 2*u**3/3 + 7*u**2 - 120*u + 292. Solve y(p) = 0.
-12, 5
Let k(m) = -6*m**3 - 12*m**2 + 40*m + 8. Let t(s) = 7*s**3 + 12*s**2 - 42*s - 10. Let n(r) = -5*k(r) - 4*t(r). Factor n(i).
2*i*(i - 2)*(i + 8)
Let t(m) be the second derivative of 1/6*m**2 - 1/30*m**5 - 9 + 1/9*m**3 - 1/90*m**6 + 0*m**4 - m. Let t(k) = 0. Calculate k.
-1, 1
Factor 4*p**4 - 5 - 25*p - p**4 - 4*p**4 + 29*p + 6*p**2 - 4*p**3 + 0*p**4.
-(p - 1)**2*(p + 1)*(p + 5)
Let w(c) be the first derivative of 4/3*c**3 + 12 + 0*c - 1/3*c**2 + 8/15*c**5 - 3/2*c**4. Find y, given that w(y) = 0.
0, 1/4, 1
Let t(f) be the third derivative of f**7/105 - f**6/6 + 17*f**5/30 - 2*f**4/3 - 182*f**2. Factor t(a).
2*a*(a - 8)*(a - 1)**2
Let b(t) = 790*t + 18172. Let j be b(-23). Find c, given t