 12*r - 36 = -n*r. Factor 2/7*a**5 + 2/7*a - 4/7*a**r - 2/7*a**4 - 2/7 + 4/7*a**2.
2*(a - 1)**3*(a + 1)**2/7
Let k(w) be the second derivative of 100*w**7/147 + 12*w**6/7 - 1959*w**5/70 - 283*w**4/21 + 572*w**3 - 12168*w**2/7 + 558*w + 1. Solve k(o) = 0 for o.
-39/10, 2
Let y(g) = -4*g**4 - 4*g + 8. Let s(u) = -u**3 - u**2 + 2. Let f = 96 - 97. Let w(r) = f*y(r) + 4*s(r). Factor w(q).
4*q*(q - 1)**2*(q + 1)
Suppose -5*x = -10*u, 0 = -5*u - 5 + 10. Let y(d) be the first derivative of 4*d**2 + 0*d - 7 - x*d**4 + 4/5*d**5 - 4/3*d**3. Factor y(f).
4*f*(f - 2)*(f - 1)*(f + 1)
Suppose -18 = -3*t + 21. Suppose 3*m = -t*m + 48. Solve 0*g**4 + 72 - 4*g**4 - 65*g**2 + 36 - 32*g**m - 7*g**2 = 0 for g.
-3, 1
Let d be ((-8)/(-2))/((-183)/(-9) + -13 - 6). Let 57/4*m - 1/4*m**d - 29/4 - 27/4*m**2 = 0. Calculate m.
-29, 1
Suppose 0 = -y + 5*z + 3, -3*y + 3*z - 2 = -z. Let n be ((-3)/y)/(-9*1/(-102)). Factor 2 - n*t**2 + 19*t - t + 3*t**2 - 6.
-2*(t - 1)*(7*t - 2)
Let t be (-1 - (-3)/2)*(-2 + 10104). Let -t*x**2 - 3*x**4 + 5075*x**2 + 2*x**3 + 4*x**3 = 0. Calculate x.
-2, 0, 4
Let -2553 + 85*g**2 - g**4 - 18*g**3 - 66*g + 2553 = 0. What is g?
-22, 0, 1, 3
Let l(y) be the third derivative of y**8/12 - 21844*y**7/105 + 5973*y**6/5 - 42052*y**5/15 + 20243*y**4/6 - 2076*y**3 + 2033*y**2. Solve l(z) = 0 for z.
2/7, 1, 1557
Let z = -2/4827 + -2005/6810897. Let s = z + 4235/2822. Let s*q**3 - 1/2*q**5 + 0 - 1/2*q**4 + 1/2*q**2 - q = 0. What is q?
-2, -1, 0, 1
Let j(t) be the first derivative of t**6/3 + 14*t**5/5 - 9*t**4/2 - 14*t**3/3 + 8*t**2 - 896. Suppose j(v) = 0. What is v?
-8, -1, 0, 1
Let j be 1/6*0/(35/(770/(-66))). Solve -1/5*p + j - 1/5*p**3 - 2/5*p**2 = 0.
-1, 0
Let z(m) be the first derivative of -m**5/4 + 5*m**4/72 - 3*m**2 - 26*m - 10. Let x(u) be the second derivative of z(u). Factor x(l).
-5*l*(9*l - 1)/3
Let f(s) = -25*s**2 + 380*s + 405. Suppose 8*q - 1485 = 35*q. Let c(t) = t**2 - 14*t - 15. Let o(d) = q*c(d) - 2*f(d). Factor o(l).
-5*(l - 3)*(l + 1)
Let z = -351 - -365. Suppose 0 = -5*k + 5*f + 35, -z*k + 18*k + 2*f = -2. Factor 6/7*h + 3/7*h**k + 3/7.
3*(h + 1)**2/7
Let k(b) be the third derivative of -b**8/2016 - 5*b**7/252 - 23*b**6/360 + b**5/180 + 47*b**4/144 + 23*b**3/36 + 2*b**2 + 231. Let k(m) = 0. Calculate m.
-23, -1, 1
Let -546*l - 298/3 + 11/6*l**2 = 0. Calculate l.
-2/11, 298
Let u(x) = -69*x**3 - x**2 + 6. Let k be u(-2). Let 273 - 2*d**2 + 277 + 6*d - k = 0. Calculate d.
1, 2
Factor -1650/7 - 46/7*j**2 + 610/7*j - 2/7*j**3.
-2*(j - 5)**2*(j + 33)/7
Let d = -1822 + 1824. Factor -9/2*r**d + 9/2*r**4 + 0 - 1/2*r + 1/2*r**3.
r*(r - 1)*(r + 1)*(9*r + 1)/2
Suppose 5*l - 3*g + g + 19 = 0, -5*g + 25 = -5*l. Let y be (1 + (0 - l))/(2 - 1). Find m such that -3*m**2 + 6*m**3 - y*m + 0*m + 3*m**4 - 2*m = 0.
-2, -1, 0, 1
Solve -13716*j**3 - 856*j**4 - 1279*j**4 - 1069*j**5 + 1065*j**5 - 2445*j**4 - 13708*j**2 - 4568*j = 0.
-1142, -1, 0
Let i(y) be the first derivative of 16*y**5 + 1350*y**4 - 2785*y**3 - 5185*y**2/2 - 690*y - 1479. Solve i(q) = 0 for q.
-69, -1/4, 2
Let z(g) be the third derivative of g**6/240 + 31*g**5/6 + g**2 - 7*g + 178. Suppose z(f) = 0. Calculate f.
-620, 0
Let o(u) be the third derivative of -u**8/168 + 6*u**7/35 + 9*u**6/4 + 36*u**5/5 + 1198*u**2. Find r, given that o(r) = 0.
-3, 0, 24
Let z = -1083 + 1056. Let h be z/18*(-6)/27. Factor -7/9*k - 2/9*k**2 - h.
-(k + 3)*(2*k + 1)/9
Let w = 4263527/110262 + -21/36754. Let -28*l**3 + 20/3*l**4 + w*l**2 - 20*l + 8/3 = 0. Calculate l.
1/5, 1, 2
Let b(u) = -16*u**3 - 121*u**2 + 260*u - 148. Let l(h) = -25*h**3 - 181*h**2 + 389*h - 223. Let y(a) = -8*b(a) + 5*l(a). Suppose y(x) = 0. Calculate x.
-23, 1
Let w(j) be the third derivative of j**7/630 + j**6/60 + j**5/36 - j**4/6 + 15*j**2 - j. Factor w(q).
q*(q - 1)*(q + 3)*(q + 4)/3
What is j in -22*j + 1/2*j**4 + 0 + 22*j**3 - 1/2*j**2 = 0?
-44, -1, 0, 1
Suppose 3*h - 42 = -3*c, -5*h = 26*c - 24*c + 14. Determine m so that -c*m - 588 - 1/3*m**2 = 0.
-42
Let m(w) be the first derivative of 1/6*w**4 - 2/3*w**3 + w**2 + 34*w - 28. Let h(i) be the first derivative of m(i). Factor h(s).
2*(s - 1)**2
Let k(q) be the third derivative of 1/2*q**4 + 2*q**3 + 0 + 1/20*q**5 - 41*q**2 + 0*q. Factor k(c).
3*(c + 2)**2
Let h(u) be the second derivative of -u**7/17640 + u**6/420 + 13*u**5/840 + u**4/6 - 5*u**3/3 - 51*u + 2. Let q(x) be the third derivative of h(x). Factor q(y).
-(y - 13)*(y + 1)/7
Let m(p) be the second derivative of -p**5/80 + p**4/3 + 41*p**3/8 + 99*p**2/4 + 19*p - 22. Solve m(b) = 0 for b.
-3, 22
Let i(l) be the first derivative of -3*l**5/10 - 135*l**4/4 - 1098*l**3 - 11481*l**2/2 - 16641*l/2 + 846. Find o, given that i(o) = 0.
-43, -3, -1
Suppose 309 = 327*f - 299*f - 279. Let n(s) be the third derivative of 3/5*s**3 + 0*s + 7/150*s**5 + 0 - f*s**2 + 1/4*s**4 + 1/300*s**6. Factor n(d).
2*(d + 1)*(d + 3)**2/5
Find n, given that -4/7*n**4 - 128/7*n - 144/7 + 32/7*n**3 + 52/7*n**2 = 0.
-2, -1, 2, 9
Suppose 29 = 4*w + 21. Suppose 0 = -w*u + 4*u - 2*f - 650, 0 = -4*u + f + 1297. Factor -195*l - 463*l - 4*l**3 - u + 262*l - 76*l**2.
-4*(l + 1)*(l + 9)**2
Let o(w) be the second derivative of 5/33*w**3 + 2/11*w**2 - 1/6*w**4 + w + 74 + 2/55*w**5. Let o(b) = 0. What is b?
-1/4, 1, 2
Factor -3*o**4 - 1523*o**2 + 1526*o**2 - 9*o**3 + 1 + 9*o - 1.
-3*o*(o - 1)*(o + 1)*(o + 3)
Let w(c) be the second derivative of -c**5/20 - 13*c**4/2 - 338*c**3 - 183*c**2/2 + 2*c + 106. Let j(q) be the first derivative of w(q). Factor j(b).
-3*(b + 26)**2
Let f(c) be the second derivative of -c**6/10 + 3*c**5/10 - c**4/4 - 492*c + 5. Factor f(o).
-3*o**2*(o - 1)**2
Let o = 93911 + -93911. Solve -1/2*f + o - 5/8*f**3 + f**2 + 1/8*f**4 = 0.
0, 1, 2
Let g(n) be the third derivative of -n**5/120 + 115*n**4/8 - 39675*n**3/4 - 1392*n**2. Suppose g(c) = 0. Calculate c.
345
Let b(w) be the second derivative of 0 - 1/9*w**4 - 21*w + 2/9*w**3 + 4*w**2. Factor b(o).
-4*(o - 3)*(o + 2)/3
Suppose -59 = 8*j + 29. Let b = 23 + j. What is i in 20*i - b*i**3 - 34*i - 12*i**2 + 11*i = 0?
-1/2, 0
Let t(d) = d**3 + 11*d**2 - 3*d - 3. Let k(u) = 2*u - u - 12*u**2 - 7*u + 4 + 10*u. Let r(w) = 3*k(w) + 4*t(w). Factor r(b).
4*b**2*(b + 2)
Let i(h) be the first derivative of h**7/105 - h**6/90 - h**5/30 - 27*h**3 + 61. Let u(x) be the third derivative of i(x). Factor u(y).
4*y*(y - 1)*(2*y + 1)
Let d be 6 + -2 - (-1 + 1 + 1). Solve w**3 - w**3 + 3*w**d - 7*w**3 = 0.
0
Let n = 108 + -104. Let d(s) = -19*s + 78. Let t be d(n). Solve 2/5*v - 4/15 - 2/15*v**t = 0.
1, 2
Let r(b) be the second derivative of -b**8/336 - b**7/24 - 5*b**6/24 - 3*b**5/8 - 50*b**3/3 + 46*b - 3. Let c(d) be the second derivative of r(d). Factor c(l).
-5*l*(l + 1)*(l + 3)**2
Let g(q) be the second derivative of q**6/6 - 39*q**5/4 + 655*q**4/4 - 665*q**3/6 - 5415*q**2 - 29*q + 30. Find c, given that g(c) = 0.
-2, 3, 19
Let o = -245919/11 + 22357. Factor 2/11*x**2 + 6/11 - o*x.
2*(x - 3)*(x - 1)/11
Solve -1296 + 4/3*b**2 + 3884/3*b = 0 for b.
-972, 1
Let p(m) = m**2 - 292 - 6*m**2 + 68*m + 2*m**2. Let n(j) = -2*j**2 + 45*j - 195. Let l = 4522 - 4530. Let o(v) = l*n(v) + 5*p(v). Factor o(w).
(w - 10)**2
Suppose 1 = -4*f + 5*b, -18*f + b = -23*f + 6. Let n(x) be the first derivative of f - 10/3*x**3 + x**2 + 2*x**4 + 0*x. Suppose n(v) = 0. Calculate v.
0, 1/4, 1
Solve -163*b**2 + 57*b**2 + 15 + 23 + 65*b + 56*b**2 + 7 = 0.
-1/2, 9/5
Suppose 4*l + 9 = -11. Let j be (-1)/l + 27/15. Factor 100*w + w**2 + 14*w**2 + 24 + w**j.
4*(w + 6)*(4*w + 1)
Let s(r) = r**2 - 3*r - 21. Let t(y) = -y. Let f(n) = s(n) - 3*t(n). Let q be f(5). Factor 10*o - 5*o**3 - 1 + 6 + q*o**3 - 35*o**2 + 21*o**3.
5*(o - 1)**2*(4*o + 1)
Let x(t) = 7*t**2 + 9*t - 10. Let z be x(-2). Let b(p) be the second derivative of z*p**4 + 1/10*p**6 + 46*p + 0 - 8*p**3 - 24*p**2 + 3/5*p**5. Factor b(k).
3*(k - 2)*(k + 2)**3
Let c = 3476393/5 - 695272. Find b such that 2*b**3 + 29/5*b - 6/5 - c*b**2 = 0.
3/10, 1, 2
Let l(d) be the first derivative of -1/5*d**5 + 3/2*d**4 - 3*d**3 + 93 - 2*d**2 + 12*d. Factor l(m).
-(m - 3)*(m - 2)**2*(m + 1)
Suppose 1/10*h**2 + 37/10*h + 21 = 0. What is h?
-30, -7
Let b(p) be the first derivative of -1/3*p**4 + 1/3*p**2 + 44 + 4/15*p**5 + 1/9*p**6 + 4/3*p - 8/9*p**3. Suppose b(i) = 0. What is i?
-2, -1, 1
Let b = -912