of n**4/16 - n**3/2 - 2*n + 56. Factor u(v).
3*v*(v - 4)/4
Let y = -7867 - -23605/3. Factor 1/3 + y*m**4 - 4/3*m**3 - m**2 + 2/3*m.
(m - 1)**2*(2*m + 1)**2/3
Let m(r) = 12*r**2 - 8*r + 2. Let o(i) = 25*i**2 - 17*i + 5. Let p(s) = -4*s + 3. Let h be p(4). Let u(k) = h*m(k) + 6*o(k). Determine x so that u(x) = 0.
-2/3, 1
Let n(h) be the second derivative of 9*h**4/28 + 8*h**3/7 - 6*h**2/7 + 6*h. Solve n(l) = 0.
-2, 2/9
Let v(n) = -5*n**3 - n**2. Let u be v(-1). Let w = -2 + u. What is l in -4*l**w + l**2 + 2*l**2 = 0?
0
Let a(d) be the first derivative of -d**7/420 + d**6/90 - d**5/60 + 38*d**3/3 - 19. Let b(o) be the third derivative of a(o). Find j, given that b(j) = 0.
0, 1
Let r(h) be the first derivative of -3*h**6/40 - h**5/4 - h**4/4 + 13*h**2/2 + 31. Let a(k) be the second derivative of r(k). Factor a(d).
-3*d*(d + 1)*(3*d + 2)
Let k = 861 + -859. Let i(t) be the first derivative of 4/3*t**3 - 4*t + 1/2*t**4 + 5 - t**k. Let i(c) = 0. Calculate c.
-2, -1, 1
Let 14/3*q + 1/3*q**2 - 5 = 0. What is q?
-15, 1
Let s(u) be the third derivative of -u**7/42 - u**6/2 + 17*u**5/12 + 10*u**4 - 130*u**3/3 + 242*u**2. Solve s(b) = 0 for b.
-13, -2, 1, 2
Let a be 9/40*1820/546. Determine j so that -a*j**4 + 3*j**2 - 2*j + 0 + 1/2*j**3 = 0.
-2, 0, 2/3, 2
Let f(r) be the first derivative of -5*r**3/18 - 25*r**2/6 - 15*r/2 + 372. What is k in f(k) = 0?
-9, -1
Suppose 2103*m + 3*i = 2099*m + 23, -i = 4*m - 13. Let -4/17*h**m - 2/17*h**3 + 0 + 6/17*h = 0. What is h?
-3, 0, 1
Let y(c) be the second derivative of -5*c**8/336 - c**7/42 - 3*c**2/2 - 25*c. Let r(o) be the first derivative of y(o). Suppose r(g) = 0. Calculate g.
-1, 0
Determine v, given that -2/15*v**5 - 26/15*v**4 - 36/5*v**3 + 22/3*v - 124/15*v**2 + 10 = 0.
-5, -3, -1, 1
What is j in -288*j + 15/2*j**3 + 0 + 24*j**2 - 3/4*j**4 = 0?
-6, 0, 8
Factor 0 + 2/7*z**4 + 0*z**2 + 0*z + 4/7*z**3.
2*z**3*(z + 2)/7
Suppose 4*t - 2*t - 18 = -f, t + 33 = 3*f. Determine h so that 3*h - 3*h - 2*h**3 + 8*h + 6*h**3 + f*h**2 = 0.
-2, -1, 0
Let p(v) be the second derivative of v**6/6 + 2*v**5 - 5*v**4/4 - 55*v**3/3 + 40*v**2 + 38*v. What is o in p(o) = 0?
-8, -2, 1
Let g(p) be the first derivative of p**3/9 + 55*p**2 + 9075*p - 41. Suppose g(l) = 0. Calculate l.
-165
Let i be ((-9)/27*-12)/1. Suppose 2/9*h**2 + 2/9*h**i + 0*h + 4/9*h**3 + 0 = 0. What is h?
-1, 0
Let y be 20/(-9) + 10/45. Let n be 8/5*(y - -7). Find r, given that 19*r**5 + 26*r**2 - 13*r**4 - 38*r**3 - 5*r**4 + 24*r - 5*r**5 - n = 0.
-1, 2/7, 1, 2
Let m(a) be the second derivative of a**7/5040 + a**6/480 + a**5/120 + 2*a**4/3 - 6*a. Let n(k) be the third derivative of m(k). What is z in n(z) = 0?
-2, -1
Let j(r) be the first derivative of -2*r**3/15 + 202*r**2/5 - 20402*r/5 - 620. What is t in j(t) = 0?
101
Let 3*t - 8 - 1/4*t**2 = 0. Calculate t.
4, 8
Find f, given that 2/9*f - 2/9*f**3 + 130/9*f**2 - 130/9 = 0.
-1, 1, 65
Let p be (-5)/((-130)/(-48)) - -2. Let i be 795/(-477)*6/(-5). Factor -p*f**4 - 4/13*f + 0 - 10/13*f**i - 8/13*f**3.
-2*f*(f + 1)**2*(f + 2)/13
Let a(j) = j**2 - 22*j - 165. Let c be a(-6). Let l(k) be the second derivative of 2/3*k**c + 4/15*k**6 + 0*k**2 - 11/10*k**5 - 5*k + 5/6*k**4 + 0. Factor l(p).
2*p*(p - 2)*(p - 1)*(4*p + 1)
Let m(b) be the first derivative of b**6/18 + 2*b**5/3 + 2*b**4 - 10*b**3/9 - 25*b**2/6 + 277. Determine r so that m(r) = 0.
-5, -1, 0, 1
Let m(y) = -6*y + 32. Let q(g) = -3*g - 46. Let j be q(-17). Let b be m(j). Factor 32/15*h + 14/15*h**b + 8/15.
2*(h + 2)*(7*h + 2)/15
Suppose -4*m + 20 = 0, -u = u - 3*m + 11. Let -4*i**2 + 13*i**u + 0*i**2 + 3*i**3 = 0. What is i?
-3, 0
Let g(f) = 2*f**3 - 8*f**2 + 10*f + 22. Let h(i) = -4*i**3 + 14*i**2 - 20*i - 43. Let s(v) = -5*g(v) - 2*h(v). Let s(j) = 0. What is j?
-1, 3, 4
Let u be 1918/150 - 0 - (-2 + 5). Let i = u + -28/25. Find q such that 14/3*q**4 + i*q + 46/3*q**3 + 18*q**2 + 4/3 = 0.
-1, -2/7
Let g(i) be the second derivative of -i**5/10 + i**4 - 3*i**3 + 4*i**2 + 3*i - 46. Factor g(b).
-2*(b - 4)*(b - 1)**2
Let m(k) be the first derivative of -k**3/3 - k**2 + 24*k + 892. Find j such that m(j) = 0.
-6, 4
Let x(a) = -a**4 + a**3 - a**2 + a. Let b be 4/3*(-240)/(-64). Let t(r) = 4*r**4 - 5*r**3 + 3*r**2 - 3*r. Let h(y) = b*t(y) + 15*x(y). Factor h(g).
5*g**3*(g - 2)
Let w(f) be the third derivative of f**6/420 - 3*f**5/35 + 20*f**4/21 - 32*f**3/7 + 2*f**2 - 229. Factor w(p).
2*(p - 12)*(p - 4)*(p - 2)/7
Let r(v) be the first derivative of 0*v - v**4 + v**2 - 2/3*v**3 - 13. Factor r(i).
-2*i*(i + 1)*(2*i - 1)
Suppose -5*y = -4*l - 47, 0 = 6*l - 3*l - y + 49. Let j be (0/2 + -16)*2/l. Let -40/9*k**2 - 4/3*k**3 - 6*k**5 + 10*k**4 + j*k + 0 = 0. Calculate k.
-2/3, 0, 2/3, 1
Let h be ((-4)/(-70))/((-1)/(-45)). Let l be ((-64)/(0 - -8))/(-4). Solve 2/7*u**l + 12/7*u + h = 0 for u.
-3
Let l(j) be the first derivative of j**6/15 - j**5/5 - j**4/2 + j - 10. Let s(v) be the first derivative of l(v). Find r, given that s(r) = 0.
-1, 0, 3
Suppose -4*g - 1 + 3 = 5*l, 17 = 5*g - l. Factor 0 + 0*m**g + 1/2*m**5 + m**4 - m**2 - 1/2*m.
m*(m - 1)*(m + 1)**3/2
Factor 38 - 21 + 18 - 12*q**2 + 21 + 2*q**2 + 136*q.
-2*(q - 14)*(5*q + 2)
Let f(t) = t - 6. Let x be f(9). Let k be (-4)/x*(-3)/2. Suppose a - 21 + k*a**2 + 21 + a**3 = 0. What is a?
-1, 0
Let w(r) = 4*r**2 + 8*r + 3. Let o be w(-2). Let b(x) be the first derivative of -1/2*x**3 - 1/10*x**5 + 3/8*x**4 + 1/4*x**2 + 0*x - o. What is u in b(u) = 0?
0, 1
Solve -3 - 11/2*g + 7/2*g**2 = 0 for g.
-3/7, 2
Let y(b) be the third derivative of b**6/96 + 7*b**5/48 - 25*b**4/6 - 120*b**3 - 24*b**2 + b. Factor y(x).
5*(x - 9)*(x + 8)**2/4
Let b(f) = -1690*f**3 - 1170*f**2 + 480*f - 33. Let x(z) = 845*z**3 + 585*z**2 - 240*z + 17. Let d(n) = 3*b(n) + 7*x(n). Determine m so that d(m) = 0.
-1, 2/13
Suppose -c + 5*m = 3*c - 70, 0 = 2*c + 5*m - 20. Factor c*i**2 + 31*i - 49*i + 6*i**3 + 3 + 30*i.
3*(i + 1)**2*(2*i + 1)
Let b(g) be the third derivative of g**6/660 + g**5/165 - 5*g**4/132 - 2*g**3/11 + 13*g**2 + 12. Factor b(h).
2*(h - 2)*(h + 1)*(h + 3)/11
Let m be 11/4 - (-6)/24. Suppose 3*o + 3 = -3*s, 2*s + o = m*o + 14. Factor 0*l**2 - 1/3*l + 1/3*l**s + 0.
l*(l - 1)*(l + 1)/3
Suppose y - 5*y + 21 = -q, 0 = q + 5. Factor 1 + 6*v**3 + 9*v**2 - 2*v**y - v**4 - 1.
-3*v**2*(v - 3)*(v + 1)
Let n be 2/4*-9*(-2)/3. Let g(p) be the first derivative of 21/4*p**4 + 0*p - 8*p**6 + 8 + 24/5*p**5 + p**n + 0*p**2. Factor g(v).
-3*v**2*(v - 1)*(4*v + 1)**2
Let z = 967312471/1372 - 705038. Let q = z + 2/343. Suppose 0 - o**2 - q*o = 0. Calculate o.
-1/4, 0
Suppose 0 = 33*n - 82 + 16. Find q, given that 6*q - 9/4*q**n - 4 = 0.
4/3
Let s(t) be the second derivative of 0*t**3 + 11*t + 1/21*t**7 - 1/5*t**5 + 0*t**2 - 1/15*t**6 + 0 + 0*t**4. Suppose s(c) = 0. Calculate c.
-1, 0, 2
Factor -2*j**2 + 464 + 3*j + 5*j**2 - 467 - 3*j**3.
-3*(j - 1)**2*(j + 1)
Let t(u) be the third derivative of u**7/90 + 11*u**6/180 - u**5/5 - u**4 + 21*u**2. Let c(q) be the second derivative of t(q). Find l, given that c(l) = 0.
-2, 3/7
Let b(r) be the first derivative of r**6/75 - r**5/25 - r**4/10 + 4*r**3/15 + 4*r**2/5 + 41*r - 2. Let y(u) be the first derivative of b(u). Factor y(q).
2*(q - 2)**2*(q + 1)**2/5
Let g be 120/572 + ((-56)/52)/(-7). Factor -g*x**2 + 0*x + 2/11*x**3 + 0.
2*x**2*(x - 2)/11
Factor -36450/17 - 540/17*y - 2/17*y**2.
-2*(y + 135)**2/17
Let c(m) be the third derivative of m**7/42 + 7*m**6/24 + 5*m**5/4 + 65*m**4/24 + 10*m**3/3 - 10*m**2. Find s, given that c(s) = 0.
-4, -1
Let j(u) = 4*u**4 - 92*u**3 - 400*u**2 - 516*u - 208. Let o(c) = -4*c**4 + 91*c**3 + 399*c**2 + 515*c + 208. Let y(g) = -3*j(g) - 4*o(g). What is b in y(b) = 0?
-2, -1, 26
Let t(g) = -g**3 + 4*g. Let z(b) = -2*b**3 - 16*b**2 - 43*b - 38. Let u(i) = -6*t(i) + 2*z(i). Find s, given that u(s) = 0.
-2, -1, 19
Let r = 206 + -206. Let a(m) be the third derivative of 0*m - 1/360*m**6 + 0*m**4 + 1/90*m**5 + 0*m**3 + 6*m**2 + r. Let a(i) = 0. Calculate i.
0, 2
Let q(n) = 5*n**2 + 310*n + 645. Let a(w) = 2*w**2 + 1. Let y(p) = -5*a(p) + q(p). Factor y(b).
-5*(b - 64)*(b + 2)
Let z = 29 - 25. Let j(s) be the first derivative of 3/4*s**z + 3*s**2 + 0*s + 2 - 3*s**3. Let j(n) = 0. Calculate n.
0, 1, 2
Let d(o) be the first derivative of -1/38*o**4 + 0*o**2 + 0*o + 2/19*o**3 - 7. Factor