= 14763 + -14760. Find j, given that -1/6*j**t + 0*j + j**2 - 16/3 = 0.
-2, 4
Let o(u) = 4*u**2 - 151*u - 195. Let p be o(39). Factor p + 20/7*n**2 - 2/7*n**3 - 50/7*n.
-2*n*(n - 5)**2/7
Let y(t) be the second derivative of -t**6/24 + 7*t**5/12 + 85*t**4/24 + 15*t**3/2 + 14*t**2 - 7*t. Let k(d) be the first derivative of y(d). Factor k(i).
-5*(i - 9)*(i + 1)**2
Suppose 0 = -18*j + 40 + 50. Let x(g) be the third derivative of 1/160*g**6 - 1/420*g**7 + j*g**2 + 0*g**4 - 1/240*g**5 + 0*g + 0*g**3 + 0. Factor x(q).
-q**2*(q - 1)*(2*q - 1)/4
Let i(n) be the second derivative of -1/12*n**3 + 0*n**2 + 0 - 1/36*n**4 - 8*n. Factor i(d).
-d*(2*d + 3)/6
Find i such that 3/2*i**2 - 3 - 3/2*i = 0.
-1, 2
Let 4139*b + b**4 - 10*b**3 - 4129*b - 2*b**4 + b**2 = 0. What is b?
-10, -1, 0, 1
Let v(i) = 2*i**2 - 642*i + 49918. Let t(x) = x**2 - 320*x + 24960. Let n(f) = -5*t(f) + 2*v(f). Let n(w) = 0. What is w?
158
Let l = 274 + -145. Let t = -127 + l. Find s such that -3/7*s**t + 0 + 3/7*s = 0.
0, 1
Let u = 26 - 23. Suppose v = -u + 5. Factor 8/3 + 4/3*g - 2/3*g**v - 1/3*g**3.
-(g - 2)*(g + 2)**2/3
Let y = -2/117 + 71/1872. Let f(p) be the third derivative of 0*p + 0 + 2*p**2 - y*p**4 + 0*p**3 + 1/120*p**5. Factor f(h).
h*(h - 1)/2
Let g(v) be the first derivative of 8 - 4*v**2 + 0*v - v**4 + 14/3*v**3 - 2/5*v**5. Suppose g(b) = 0. Calculate b.
-4, 0, 1
Let i(v) = 5*v**3 - 5*v**2 + 2*v. Let t(a) = -4*a**3 + 4*a**2. Let w(c) = 2*i(c) + 3*t(c). Find r such that w(r) = 0.
-1, 0, 2
Let m(w) = -2*w**3 + 12*w**2 + 2. Let y be m(6). Factor -s**3 + 180*s - s**3 - 180*s + y*s**2.
-2*s**2*(s - 1)
Let q = 4503 + -9003/2. Find f, given that q*f**3 + 81/2 + 27/2*f**2 + 81/2*f = 0.
-3
Let g(x) be the second derivative of -x**6/60 + x**5/6 - 7*x**4/12 + x**3 + 19*x**2/2 - 19*x. Let b(p) be the first derivative of g(p). Solve b(a) = 0.
1, 3
Suppose -40/3 + 22/3*q - q**2 = 0. Calculate q.
10/3, 4
Let b be 9/(-4) - 9/(-3). Let j(f) be the first derivative of -1/6*f**3 - b*f**2 - 4 - f. Find q such that j(q) = 0.
-2, -1
Let x(k) be the second derivative of k**6/30 + k**5/5 + k**4/6 - 2*k**3/3 - 3*k**2/2 + k + 19. Find j such that x(j) = 0.
-3, -1, 1
Let s(h) = -8*h**3 - 32*h**2 - 45*h - 16. Suppose 0 = -4*l + 20*l + 128. Let a(j) = -12*j**3 - 48*j**2 - 68*j - 24. Let q(c) = l*s(c) + 5*a(c). Factor q(r).
4*(r + 1)**2*(r + 2)
Let x = 63 - 67. Let c be 0/2 - -4 - x/4. What is r in -8/3*r**3 - 6*r**c + 8*r**4 + 0*r**2 + 0*r + 0 = 0?
0, 2/3
Let h(q) = q**3 - 12*q**2 - 12*q - 11. Let k be h(13). Suppose 5*d + 10 = k*u, u = -u - 2*d - 4. Factor 1/5*a**3 + u + 0*a**2 - 1/5*a.
a*(a - 1)*(a + 1)/5
Let g(j) = -j + 2. Let b be g(2). Let k = 11/40 + 13/40. Factor k*x**3 + b*x + 0 + 3/5*x**2.
3*x**2*(x + 1)/5
Let y be -1*(-24)/40*4/12. Let r(b) be the first derivative of -6 - 1/20*b**4 - 1/5*b**2 + 0*b - y*b**3. What is t in r(t) = 0?
-2, -1, 0
Let x(o) be the second derivative of o**6/120 - 47*o**5/80 + 575*o**4/48 - 529*o**3/24 + 14*o. Factor x(a).
a*(a - 23)**2*(a - 1)/4
Let t(q) be the first derivative of -q**4/24 + 2*q**3/9 - q**2/4 - 35. Factor t(r).
-r*(r - 3)*(r - 1)/6
Suppose -45 - 155 = -199*w + 198. Let -3/4*m - 3*m**w + 3/2 + 9/4*m**3 = 0. Calculate m.
-2/3, 1
Suppose -3*m + 4*t + 21 = -2*m, 20 = 2*m + 3*t. Suppose -m*b = -5*b. Find f, given that -4/5 + b*f + 1/5*f**2 = 0.
-2, 2
Suppose 0 = -4*i + 5 - 1, 4*q + 4*i = 28. Let -q*m**3 + 3*m - 7*m + 3*m**5 + 7*m = 0. What is m?
-1, 0, 1
Let g(p) = -11*p - 253. Let s be g(-23). Let h(d) be the third derivative of 1/180*d**6 - 3*d**2 - 1/90*d**5 + 0 + s*d - 1/18*d**4 + 0*d**3. Factor h(v).
2*v*(v - 2)*(v + 1)/3
Let v(r) be the second derivative of 1/8*r**5 + 0 - 1/3*r**3 + 2*r**2 - 1/4*r**4 - 1/60*r**6 - 15*r. Factor v(l).
-(l - 2)**3*(l + 1)/2
Suppose 0 = -18*k - 17*k + 175. Suppose 2/9*d**k + 0 - 8/9*d - 8/9*d**4 + 2/3*d**3 + 8/9*d**2 = 0. What is d?
-1, 0, 1, 2
Let n(p) be the first derivative of p**6/33 - 12*p**5/55 - 15*p**4/22 - 16*p**3/33 + 219. Determine j so that n(j) = 0.
-1, 0, 8
Let z = -65 - -68. Factor -6*l**2 - 4*l**3 - 55 + 22 + 21 + l**z + 21*l.
-3*(l - 1)**2*(l + 4)
Let g(p) be the first derivative of p**4/16 - 7*p**3/12 - p**2/8 + 7*p/4 - 158. Suppose g(n) = 0. What is n?
-1, 1, 7
Let z = 9 - 5. Suppose 3 = q, 2*q - z*q + 21 = 5*l. Factor -12*w**2 - 5*w - w - 3*w - l*w**3 - 3*w.
-3*w*(w + 2)**2
Let a(h) be the third derivative of -h**5/15 + 5*h**4/2 - 36*h**3 + 57*h**2. Factor a(l).
-4*(l - 9)*(l - 6)
Let d(g) be the third derivative of g**8/112 + 13*g**7/70 + 33*g**6/40 + 31*g**5/20 + 5*g**4/4 + 2*g**2 + 3. Suppose d(q) = 0. Calculate q.
-10, -1, 0
Let n(m) be the third derivative of 3/40*m**5 + 0*m**3 + 1/24*m**4 + 0 + 0*m + m**2. Factor n(p).
p*(9*p + 2)/2
Let d = -28 - -30. Factor 17*k**d - 1 + 3 - k - 18*k**2.
-(k - 1)*(k + 2)
Let u(x) = x**2 + x - 5 + 34*x**2 - 5*x**3 - 26*x + 30*x**3. Let o(t) = t**3 + t**2 - t. Let c(f) = -30*o(f) + u(f). Factor c(g).
-5*(g - 1)**2*(g + 1)
Suppose 0 = -11*t + 12*t - 2. Let v(y) = -y + 24. Let k be v(21). Factor -2/5*d**k - 4/5*d**t + 2/5*d + 4/5.
-2*(d - 1)*(d + 1)*(d + 2)/5
Let g(d) be the first derivative of -d**4/16 - d**3 - 9*d**2/2 - 8*d - 101. Solve g(r) = 0 for r.
-8, -2
Let p(j) be the second derivative of j**6/45 - j**5/6 + 4*j**4/9 - 4*j**3/9 - 908*j. Let p(u) = 0. What is u?
0, 1, 2
Let q(w) be the first derivative of -3*w**6/160 - 7*w**5/20 - 55*w**4/32 + 25*w**3/4 - 9*w**2/2 + 28. Let l(k) be the second derivative of q(k). Solve l(r) = 0.
-5, 2/3
Let q(m) be the first derivative of 24 - m**3 + 0*m + 1/3*m**2 - 1/5*m**5 + 5/6*m**4. Factor q(p).
-p*(p - 2)*(p - 1)*(3*p - 1)/3
Let f = -230008/5 - -45852. Let u = 150 + f. Factor 0*v**2 + 0*v + u*v**4 + 0*v**3 - 2/5*v**5 + 0.
-2*v**4*(v - 1)/5
Let n be 2*(172/16 - 10). Factor 9/4*m + 3/4*m**2 + n.
3*(m + 1)*(m + 2)/4
Let m(l) be the first derivative of l**9/756 - 2*l**8/105 + l**7/10 - l**6/5 + 11*l**3/3 - 11. Let p(u) be the third derivative of m(u). Factor p(w).
4*w**2*(w - 3)**2*(w - 2)
Let m = 223/7 - 1101/35. Solve 6/5*r**2 - m*r + 8/5*r**3 + 0 = 0 for r.
-1, 0, 1/4
Factor -489*f**3 + 242*f**3 - f**4 + 253*f**3 + 7*f**2 - 2*f + 2*f.
-f**2*(f - 7)*(f + 1)
Let v(p) be the third derivative of -22*p**2 + 0*p**5 + 0*p**3 + 1/1575*p**7 - 1/900*p**6 + 0 + 0*p + 0*p**4. Factor v(l).
2*l**3*(l - 1)/15
Let l(f) be the third derivative of f**7/30 + f**6/10 + f**5/20 - f**4/12 - 2*f**2 - 42. Let l(u) = 0. What is u?
-1, 0, 2/7
Let u(g) be the third derivative of -1/36*g**4 + 0*g + 1/6*g**3 + 0 - 17*g**2 - 1/180*g**5. Factor u(i).
-(i - 1)*(i + 3)/3
Suppose 18*k - 15*k - 5*g - 15 = 0, 2*g + 6 = 2*k. Suppose 4/7*x**4 + k + 0*x**3 + 2/7*x**5 - 4/7*x**2 - 2/7*x = 0. What is x?
-1, 0, 1
Let v(p) be the second derivative of -p**4/42 + 25*p**2/7 - 131*p. Solve v(n) = 0 for n.
-5, 5
Let s(x) = -16*x - 15 + 27*x**2 - 4*x - 5 + 20*x**3 - 7*x**2. Let g(v) = -4*v**3 - 4*v**2 + 4*v + 4. Let n(u) = -24*g(u) - 5*s(u). Factor n(c).
-4*(c - 1)*(c + 1)**2
Let g(k) = -1 + k - 12*k + 6*k + 6*k. Let j(p) = 2*p**2 + 3*p + 3. Let z(a) = -g(a) - j(a). Factor z(u).
-2*(u + 1)**2
Let v(l) be the second derivative of 0 - 9*l + 0*l**3 + 1/24*l**4 + 0*l**2 - 1/40*l**5. Factor v(u).
-u**2*(u - 1)/2
Factor -3*i**5 - 6979 + 3798*i + 1795 - 1293*i**3 + 5076*i**2 + 108*i**4 - 2502*i.
-3*(i - 12)**3*(i - 1)*(i + 1)
Let q = -214 - -214. Let o(v) be the first derivative of -1/3*v**3 + 0*v**4 + 1/5*v**5 + 3 + q*v - 1/12*v**6 + 1/4*v**2. Determine x so that o(x) = 0.
-1, 0, 1
Suppose -31*q - 24 = -35*q. Suppose 0 = q*z - 8 - 40. Factor 18/5*d**2 + z*d + 8/5.
2*(d + 2)*(9*d + 2)/5
Let h(p) be the third derivative of 1/42*p**7 + 5/6*p**4 + 0 + 0*p + 26*p**2 + 1/24*p**6 + 40/3*p**3 - p**5. Factor h(y).
5*(y - 2)**2*(y + 1)*(y + 4)
Let m(a) = -11*a + 55. Let z = 58 - 53. Let v be m(z). Let 0 + 3*k**3 + v*k - 2/3*k**2 = 0. What is k?
0, 2/9
Let p(c) = 3*c**5 - 50*c**4 + 85*c**3 - 40*c**2 + 2*c + 2. Let j(n) = n**5 - n - 1. Let t(z) = -2*j(z) - p(z). Suppose t(a) = 0. What is a?
0, 1, 8
Let c = -77 + 53. Let b = 28 + c. Factor -14*i**3 - 10 + 18 - 16*i**2 - i**5 - 9*i - 10 - 6*i**b.
-(i + 1)**4*(i + 2)
Let i(y) = 9*y**2 - 13*y + 4. Let j(q) = -19*q**2 + 27*q - 8. Let z(s) = 13*i(s) + 6*j(s). Let w be z(2). Determine d, given that -4/7*d**w - 6/7*d + 4/7 = 0.
-2, 1/2
