+ 0 + 0*q - 1/84*q**8 + q**2 + 0*q**3. Suppose y(o) = 0. Calculate o.
-2, 0, 1
Let z = 244/119 + -30/17. Factor 8/7*c**3 + z*c**4 + 8/7*c**2 + 0 + 0*c.
2*c**2*(c + 2)**2/7
Find t, given that 17*t + 43*t + 22 - 4*t**2 + 29 + 7*t**2 - 6*t = 0.
-17, -1
Let y(u) = u**3 + u**2 - 6*u - 6. Let r be y(-2). Factor -214*l - r*l**2 - 2*l**2 + 210*l.
-4*l*(l + 1)
Let f(t) be the second derivative of t**4/48 + t**3/24 - t**2/4 + t + 3. Let f(j) = 0. What is j?
-2, 1
Let p(g) be the first derivative of g**6/63 - 4*g**5/35 + 5*g**4/21 - 11*g**2/21 + 4*g/7 + 47. Find r such that p(r) = 0.
-1, 1, 2, 3
Factor -12096*x + 1600 - 8512 - 4106*x**2 - 2950*x**2 - 781*x**3 - 591*x**3.
-4*(7*x + 12)**3
Let u(s) = -s**3 + 29*s**2 - 104*s + 102. Let k be u(25). Solve 242/17 + 44/17*g + 2/17*g**k = 0.
-11
Let x = -15/164 - -479/3444. Let p(a) be the first derivative of 0*a + 4 - 1/28*a**4 - 1/35*a**5 + x*a**3 + 1/14*a**2. Factor p(n).
-n*(n - 1)*(n + 1)**2/7
Let m(q) be the first derivative of q**8/5040 + q**7/504 + q**6/120 + 7*q**5/360 + q**4/36 - 13*q**3 - 7. Let x(a) be the third derivative of m(a). Factor x(h).
(h + 1)**3*(h + 2)/3
Let a(c) be the first derivative of -1/2*c**2 - 1/12*c**4 - 38 - 10/27*c**3 - 2/9*c. Factor a(z).
-(z + 1)*(z + 2)*(3*z + 1)/9
Let b(s) be the first derivative of 4*s**3/3 + 18*s**2 - 144*s + 148. Find y such that b(y) = 0.
-12, 3
Let n(d) = d**3 + d**2 - 5*d + 4. Let v = -35 - -38. Let c be n(v). Let 5*y**4 + 5*y**3 - 5*y**2 - c*y - 14*y**2 - 10 + 4*y**2 = 0. Calculate y.
-1, 2
Let b be 5 + 6/45*((-146)/4 + 2). Suppose 24/5*y - b + 26/5*y**2 = 0. What is y?
-1, 1/13
Let g(y) = -2*y**3 + 5*y**2 + 13*y - 15. Let i(j) = j**3 - 5*j**2 - j - 1. Let m(v) = -4*g(v) - 4*i(v). Factor m(u).
4*(u - 2)**2*(u + 4)
Let 2*f**2 - 4*f**2 + 28 + 46 + 12*f - 20 = 0. What is f?
-3, 9
Let r = -19 - -21. Factor 5 + 10*u**3 - 19*u**2 - 8*u**2 + 30*u**r - 18*u**2.
5*(u - 1)**2*(2*u + 1)
Let w = 8262 + -8260. Suppose 0*l**3 + 0*l - 1/5*l**w + 1/5*l**4 + 0 = 0. Calculate l.
-1, 0, 1
Let 33*m**2 + 25*m**2 + 24*m**2 - 86*m**2 - 80*m = 0. What is m?
-20, 0
Let a(b) be the first derivative of 3 + 1/6*b**4 + 5*b - 2/3*b**3 + b**2. Let m(f) be the first derivative of a(f). Factor m(h).
2*(h - 1)**2
Suppose 89 = 3*m - 58. Let u(w) = 11*w + m*w**2 + 18*w - 4*w**2 - 4*w. Let g(f) = 11*f**2 + 6*f. Let s(i) = -25*g(i) + 6*u(i). Factor s(v).
-5*v**2
Let i(j) be the third derivative of 0*j**3 + 1/420*j**6 + 1/210*j**5 + 0*j**4 + 0 + 0*j - 16*j**2. Factor i(c).
2*c**2*(c + 1)/7
Let i(m) = 3*m**3 + 14*m**2 + 28. Let t be i(-5). Let y(h) be the first derivative of 8/3*h**t + h**4 + 0*h**2 + 7 + 0*h. Factor y(b).
4*b**2*(b + 2)
Let r be ((-3)/10)/(-1)*(-95)/(-57). Let l(k) be the first derivative of -r*k**2 - 8/9*k**3 + 5/18*k**6 - 6/5*k**5 + 3 + 2/3*k + 11/6*k**4. Factor l(a).
(a - 1)**4*(5*a + 2)/3
Let d = -15 + 19. Suppose -2*f**5 + 2*f**d + 88*f**2 - 88*f**2 = 0. Calculate f.
0, 1
Let f(c) = -7*c - 4. Let g be f(-4). Let l be (-1)/(-2*4/g). Factor -4*t**3 - 5*t**l + 11*t**3 + 2*t + 4*t**2.
2*t*(t + 1)**2
Let b be (-76)/95*(4/(-2) - -1). Factor -4/5*s**3 + 0*s + 0 + 1/5*s**4 + b*s**2.
s**2*(s - 2)**2/5
Let 1/4*t**4 + 0*t - 1/2*t**3 + 1/4*t**2 + 0 = 0. Calculate t.
0, 1
Let w be 5*(-1)/(1/2)*13/(-390). Factor 2/3*l - l**3 + 0 + 1/3*l**4 + 1/3*l**5 - w*l**2.
l*(l - 1)**2*(l + 1)*(l + 2)/3
Let z be 1 - 0 - 1/(6/(-12)). Suppose -3*h**2 - z - 17 - 6*h + 8*h**2 - 9*h = 0. What is h?
-1, 4
Let y be -4 + (-44)/77*231/(-30). What is k in y*k**3 - 2*k - 2/5*k**4 + 6/5*k**2 + 4/5 = 0?
-2, 1
Factor -1/6*h**3 - 377/6*h + 17/3*h**2 + 676/3.
-(h - 13)**2*(h - 8)/6
Let d be 14 - ((-14212)/95)/(-11). Let -2/5*p**2 + 0 - d*p = 0. What is p?
-1, 0
Let b(f) = 17*f**2 - 18 + 21 - f**3 - 3*f**2. Let i be b(14). Factor -3*y**2 + 6 + 9*y**i + 9*y**2 + 3*y**2 + 21*y + 15*y**2.
3*(y + 1)**2*(3*y + 2)
Let t = 14/93 + 1418/465. Let -2/5*d**4 + 6/5 - t*d + 0*d**3 + 12/5*d**2 = 0. What is d?
-3, 1
Let h(n) be the second derivative of -n**6/180 - n**5/30 + 2*n + 27. Determine c so that h(c) = 0.
-4, 0
Let f(x) = -x**3 - 10*x - 11. Let l be f(-1). Factor 0 + l*o**2 + 3/4*o**4 + 0*o**3 + 0*o + 1/4*o**5.
o**4*(o + 3)/4
Suppose 14*t - 9*t - 15 = 0. Let f = 3/68 - -12/17. Let f*g - 1/4*g**t - 1/2 + 0*g**2 = 0. Calculate g.
-2, 1
Let u(c) be the first derivative of -3/50*c**5 + 1/2*c**2 + 1/300*c**6 - 9/5*c**3 + 0*c + 3 + 9/20*c**4. Let o(h) be the second derivative of u(h). Factor o(j).
2*(j - 3)**3/5
Let b be -3*(-8)/(-12) - 5. Let w(v) = v**2 + 11*v + 31. Let j be w(b). Factor 0 + 0*q**j + 2/17*q**4 - 6/17*q**2 - 4/17*q.
2*q*(q - 2)*(q + 1)**2/17
Let f(k) be the third derivative of -k**5/72 + k**4/6 - 4*k**3/9 + 4*k**2 - 35. Suppose f(p) = 0. What is p?
4/5, 4
Suppose -30/7*n**2 - 6*n - 12/7 = 0. What is n?
-1, -2/5
Suppose 0 = -3*i - 19*w + 23*w + 33, 0 = 5*i + 3*w + 3. Factor -3/8 + 3/8*n**2 - 3/8*n + 3/8*n**i.
3*(n - 1)*(n + 1)**2/8
Let l = 1411/15 + -1211/15. Factor -1/6*a**3 - 17/6*a**2 - 32/3 - l*a.
-(a + 1)*(a + 8)**2/6
Let n(a) be the third derivative of -a**5/12 + 35*a**4/24 - 25*a**3/3 + 603*a**2. Factor n(k).
-5*(k - 5)*(k - 2)
Let f(q) be the second derivative of -q**5/20 + q**4/3 - 2*q**3/3 + 3*q**2/2 - 47*q + 2. Let u be f(3). Factor 0 + 1/4*w**5 + u*w**3 - 1/4*w**4 + 0*w**2 + 0*w.
w**4*(w - 1)/4
Let x = 75/16 - 429/112. Factor 2/7*b - 2/7*b**3 + 6/7*b**2 - x.
-2*(b - 3)*(b - 1)*(b + 1)/7
Let v be 1/1 + -1 + (-130)/(-9360). Let h(p) be the third derivative of 0*p**5 - p**2 + 0 + 0*p**3 - v*p**4 + 1/360*p**6 + 0*p. Let h(g) = 0. What is g?
-1, 0, 1
Let c = -365 - -168. Let m = c - -197. Determine q, given that 0*q**2 + m*q + 0 + 1/8*q**3 = 0.
0
Suppose -3 = -s + 3*u, -5*u - 168 = -168. Solve -16/7*y**s - 18/7*y**5 + 2/7*y + 0 - 36/7*y**4 + 4/7*y**2 = 0 for y.
-1, -1/3, 0, 1/3
Let s(n) be the second derivative of -3/2*n**3 + 7*n + 3*n**2 + 1/4*n**4 + 0. Find g, given that s(g) = 0.
1, 2
Let r = -5/31 - -283/217. Suppose 26*q + 6 = 28*q. Solve r*w**q - 12/7*w**2 - 2/7 - 2/7*w**4 + 8/7*w = 0.
1
Let u(q) = q**2 + 11*q + 10. Suppose -12*b + 6 = -11*b. Let t(z) = 10*z**2 + 120*z + 110. Let a(d) = b*t(d) - 65*u(d). Factor a(r).
-5*(r - 2)*(r + 1)
Let k(y) = 210*y - 225*y + 6*y**2 + 2 + y**2. Let t(m) = 20*m**2 - 46*m + 6. Let x(c) = -20*k(c) + 6*t(c). Let x(b) = 0. Calculate b.
1/5, 1
Determine n so that -3/7*n**5 + 12/7*n**3 + 0 - 9/7*n**4 + 36/7*n**2 + 0*n = 0.
-3, -2, 0, 2
Let s(g) = -4*g**2 - 64*g - 838. Let b(r) = 3*r**2 + 62*r + 839. Let q(l) = -3*b(l) - 2*s(l). Find i, given that q(i) = 0.
-29
Let i(h) be the third derivative of h**8/672 - h**7/252 - 7*h**6/720 + 7*h**5/120 - h**4/9 + h**3/9 + 30*h**2. Find c, given that i(c) = 0.
-2, 2/3, 1
Let m be (2 + 28/(-12))/((-4)/72). Let v(n) = 6*n**2 + 14*n + 6. Let y(o) = -5*o**2 - 13*o - 6. Let a(g) = m*y(g) + 4*v(g). Factor a(j).
-2*(j + 3)*(3*j + 2)
Factor 4*z + 0 - 2/7*z**2.
-2*z*(z - 14)/7
Let b(c) be the second derivative of 5/42*c**7 + 0 - 1/4*c**5 + 5/4*c**4 + 0*c**3 - 9*c + 0*c**2 - 1/2*c**6. Factor b(r).
5*r**2*(r - 3)*(r - 1)*(r + 1)
Let a(v) be the third derivative of -v**8/2856 + v**7/357 - v**6/340 - 3*v**5/170 + v**2 + 23*v. Factor a(k).
-2*k**2*(k - 3)**2*(k + 1)/17
Let x(r) be the third derivative of 0 - 1/8*r**4 + 1/9*r**3 + 0*r + 1/60*r**5 + 1/90*r**6 - 21*r**2. Let x(m) = 0. What is m?
-2, 1/4, 1
Suppose 4*p + 5*o = 21, -3*p - 23 = o - 5*o. Let d be (-24)/(-9) + p/(-3). Solve -14/3*t**2 + 0 + 6*t**d + 4/3*t - 10/3*t**4 + 2/3*t**5 = 0 for t.
0, 1, 2
Let v(n) be the third derivative of -n**5/15 + 49*n**4/3 + 66*n**3 + n**2 - 903. Factor v(c).
-4*(c - 99)*(c + 1)
Let 6 - 6*q**2 + 2/11*q**3 - 2/11*q = 0. Calculate q.
-1, 1, 33
Let d(z) = -5*z**5 - z**4 + 7*z**2 + 2*z. Let m(q) = q**5 - q**4 - q**2. Let s(w) = d(w) + 3*m(w). Suppose s(x) = 0. Calculate x.
-1, 0, 1
Let k(j) = -j**3 + 24*j**2 + 3*j - 48. Let d be k(24). Suppose -30*u = -22*u - d. Let b**4 + 0 + 1/2*b**5 + 0*b**u - 1/2*b - b**2 = 0. Calculate b.
-1, 0, 1
Let s = 31 + -28. What is z in 3*z**3 + 3*z - 9*z + 2 - 2*z**3 - 3*z**s + 6*z**2 = 0?
1
Let b be (-12)/(-4) + 1 + 68/(-20). Factor b*v**4 - 6/5*v**2 + 3/5*v**5 + 3/5 - 6/5*v**3 + 3/5*v.
3*(v - 1)**2*(v + 1)**3/5
Let i(m) = -2*m - 1. Let y(d) = -d - 28. Let h(o) = -4*i(o) + y(o). Let l be h(4). Let 0 + 0*r**2 - 3/7*r**l -