 h + 1 - 1 - h**4 = 0.
-1, 0, 1
Let o(y) be the second derivative of -y**5/25 + 2*y**4/5 - 2*y**3/3 + y - 3. Factor o(k).
-4*k*(k - 5)*(k - 1)/5
Let m(d) be the third derivative of d**8/336 - 9*d**7/14 + 317*d**6/8 - 2693*d**5/12 + 550*d**4 - 726*d**3 + 18*d**2 - 2. Find q, given that m(q) = 0.
1, 66
Let y(x) be the first derivative of x**8/5880 + x**7/735 + x**6/315 + 17*x**3/3 + 5. Let m(v) be the third derivative of y(v). Suppose m(w) = 0. What is w?
-2, 0
Let o = -3019 + 3019. Determine w, given that -4*w + 8/3 + 4/3*w**3 + o*w**2 = 0.
-2, 1
Suppose 11*a + 558*a**3 + 290*a**4 + 340*a**2 - 242*a**3 + a**5 + 219*a**3 + 34*a**5 + 49*a = 0. Calculate a.
-6, -1, -2/7, 0
Let y(v) be the first derivative of 32/13*v**3 + 2/65*v**5 + 6/13*v**4 + 9 + 0*v + 64/13*v**2. Factor y(q).
2*q*(q + 4)**3/13
Let u(g) be the third derivative of 6*g**2 + 0*g**3 - 5/84*g**8 + 2/15*g**5 + 0*g - 16/105*g**7 + 0 + 0*g**4 - 1/30*g**6. Solve u(f) = 0 for f.
-1, 0, 2/5
Solve -760/3*g + 36100/3 + 4/3*g**2 = 0.
95
Let u = -2/227 - -468/1589. Let l be 93/126 + (-5 - 0)/30. Find b such that l*b**2 - 4/7*b**4 + 0 + 0*b**3 - u*b**5 + 2/7*b = 0.
-1, 0, 1
Let x(c) = -c. Suppose -6 - 10 = -4*p. Let y(m) = -10*m + m**2 + 8 + 1 + 14*m + 6*m. Let r(n) = p*x(n) + y(n). Factor r(g).
(g + 3)**2
Let r be 6*(0 + 3) + 2. Suppose 4*b + 4 - r = 0. Factor 0*n**4 + 2*n**b + 2*n**3 - 8*n**3 + 8*n.
2*n*(n - 2)**2*(n + 1)
Let f be (3/2)/(3/(-8)). Let h(r) = r**2 + r + 1. Let m(q) = -8 + 4*q + 17*q**2 - 25*q**2 - 9*q - 6*q. Let t(i) = f*m(i) - 36*h(i). Factor t(v).
-4*(v - 1)**2
Factor -2/5*q**3 + 22*q - 76/5 - 32/5*q**2.
-2*(q - 2)*(q - 1)*(q + 19)/5
Let t(v) be the third derivative of -v**8/1680 + v**7/210 - v**6/180 - v**5/30 + v**4/8 - v**3 - v**2. Let u(o) be the first derivative of t(o). Factor u(i).
-(i - 3)*(i - 1)**2*(i + 1)
Let o(a) be the second derivative of 0*a**3 + 2/75*a**6 + 1/105*a**7 + 0*a**4 + 0*a**5 + 4*a + 0 + 0*a**2. Suppose o(m) = 0. What is m?
-2, 0
Factor 2/9*k**3 + 0 + 0*k + 4/9*k**2.
2*k**2*(k + 2)/9
Let o be 2/7 - -909*4/504. Factor o*y**2 - 25/2*y**3 + 0 + 5*y.
-5*y*(y - 1)*(5*y + 2)/2
Let j be (-21 - -28) + 20/(-3). Let a(h) be the first derivative of -j*h**3 + 1 - 1/2*h + 3/4*h**2. Determine o so that a(o) = 0.
1/2, 1
Suppose -35 = -0*d - 7*d. Suppose 0 = d*o - 10. Suppose 3/5*g**3 - 3/5*g**o + 3/5 - 3/5*g = 0. What is g?
-1, 1
Let h(k) be the first derivative of 1/3*k**3 + 2/3*k**2 - 1/5*k**5 - 15 + 1/18*k**6 - 5/12*k**4 + 0*k. Determine n so that h(n) = 0.
-1, 0, 1, 4
Let s(r) be the first derivative of -r**5/20 - r**4/2 + r**3/12 + r**2 + 184. Factor s(t).
-t*(t - 1)*(t + 1)*(t + 8)/4
Let a(w) = 17*w**3 + 26*w**2 - 25*w - 3. Let u(s) = -39*s**3 - 52*s**2 + 49*s + 7. Let d(i) = 7*a(i) + 3*u(i). Suppose d(n) = 0. Calculate n.
-14, 0, 1
Let l(m) be the first derivative of 1 + 0*m - 2*m**4 - 14/5*m**5 + 0*m**3 + 0*m**2. Suppose l(c) = 0. What is c?
-4/7, 0
Let n(q) be the third derivative of -q**5/210 - 23*q**4/42 - 529*q**3/21 - q**2 + 71. Factor n(p).
-2*(p + 23)**2/7
Let x(a) be the second derivative of a**3/2 + a**2/2 - a. Let s be x(3). Factor -80 + s*t - 6*t - 5*t**2 - 17*t - 27*t.
-5*(t + 4)**2
Let d(i) be the first derivative of -i**4/18 + 2*i**3/9 + i**2/9 - 2*i/3 + 15. Solve d(o) = 0 for o.
-1, 1, 3
Suppose 51*z + 26 = 64*z. Let o be (1/4)/(8/16). Factor -11/4*t**z - 21/4*t**3 - 17/4*t**4 + 0 - 5/4*t**5 - o*t.
-t*(t + 1)**3*(5*t + 2)/4
Find w such that 210/11*w**2 + 0 + 100/11*w - 14/11*w**5 + 150/11*w**4 - 446/11*w**3 = 0.
-2/7, 0, 1, 5
Factor 1/5*f**2 + 102/5 + 53/5*f.
(f + 2)*(f + 51)/5
Let v(j) = -2*j**3 + 99*j**2 + 11*j. Let k(d) = -d**3 + 33*d**2 + 4*d. Let z(i) = 11*k(i) - 4*v(i). Find b, given that z(b) = 0.
-11, 0
Let 10*x**2 + 6*x - 3*x**3 - 8*x**2 + 5*x**2 + 2*x**2 - 9*x**4 - 3*x**5 = 0. Calculate x.
-2, -1, 0, 1
Let c(f) = 4*f**3 + 20*f**2 + 20*f + 4. Let s(m) = m**2 + m + 1. Let j be (-2)/4 - (-3)/2. Let h(t) = j*c(t) - 4*s(t). Suppose h(a) = 0. What is a?
-2, 0
Let z(b) = -2*b**3 - 62*b**2 + 11*b + 341. Let l be z(-31). Factor 1/4*o**4 + l*o + 1/4*o**2 + 1/2*o**3 + 0.
o**2*(o + 1)**2/4
Let y be -2 + (-12)/(-7) - 460/(-385). Factor -4/11 - y*m**2 - 2*m.
-2*(m + 2)*(5*m + 1)/11
Let a(c) = c - 1. Let t(g) = -3*g**2 + 43*g - 40. Let l(q) = 4*a(q) - t(q). Suppose l(r) = 0. Calculate r.
1, 12
Let f(a) be the first derivative of -2/9*a**3 + a**2 - 25 - 4/3*a. Factor f(k).
-2*(k - 2)*(k - 1)/3
What is m in 1/3*m**2 + 0*m + 0 - 1/6*m**3 = 0?
0, 2
Let l be 43 + -54 + (1 - -10). Factor l + 15/8*o**3 + 3/8*o**5 - 3/4*o**2 - 3/2*o**4 + 0*o.
3*o**2*(o - 2)*(o - 1)**2/8
Suppose 0 = 10*u + 4*m - 40, -2*u - 20*m + 16*m + 8 = 0. Solve -6/5*z**3 + 18/5*z**u + 6/5*z + 4/5 - 22/5*z**2 = 0 for z.
-1, -1/3, 2/3, 1
Suppose 0 = -i + 6*i - 40. Suppose -5*l + i = -2. Find f such that -2*f + l + f + 13*f**2 - 4*f**3 - 10*f = 0.
1/4, 1, 2
Let k(p) = 8*p**3 + 31*p**2 + 48*p + 11. Let u = -2 + 6. Let m(g) = 4 + 6*g**2 + 9*g**2 + 12*g + 1 + u*g**3 + 12*g. Let a(l) = -3*k(l) + 5*m(l). Factor a(d).
-2*(d + 2)**2*(2*d + 1)
Suppose -21*c + 9*c = -144. Suppose 2*i + 12 = c. What is j in 0*j - 2/7*j**2 + i - 24/7*j**4 + 2*j**3 = 0?
0, 1/4, 1/3
Let m(h) = -6*h**3 + 7*h**2 + h - 1. Let p(x) = -x**4 - x + 1. Let b(u) = 3*m(u) + 3*p(u). Factor b(z).
-3*z**2*(z - 1)*(z + 7)
Suppose 31 = 10*o + 1. Let -x**3 + x + 5*x**3 - 9*x**2 - x**3 + 8*x - o = 0. Calculate x.
1
Suppose d - 2*l = 2*l - 36, 0 = -2*d - 2*l - 42. Let u be d/56*1 + (-29)/(-35). Factor -1/5 + u*p**2 - 1/5*p**4 + 0*p + 0*p**3.
-(p - 1)**2*(p + 1)**2/5
Factor 12*d + 2*d**4 - 4*d**2 + 5*d**2 - 3*d**2 + 2*d**4 - 2*d**2 - 12*d**3.
4*d*(d - 3)*(d - 1)*(d + 1)
Find v, given that -82/5*v**3 - 6*v**4 - 58/5*v - 12/5 - 102/5*v**2 - 4/5*v**5 = 0.
-3, -2, -1, -1/2
Let x = -843 + 847. Let l(b) be the third derivative of 2*b**2 - 1/18*b**x + 0 + 0*b - 1/45*b**5 + 0*b**3. Suppose l(q) = 0. What is q?
-1, 0
Let u be (-7)/(((-6)/3)/2). Factor -12*s - 4 + 0*s + 12*s**2 + 10*s**3 - u*s + s.
2*(s - 1)*(s + 2)*(5*s + 1)
Let z(l) = -l**2 - 5*l - 9. Let b be z(-5). Let h(j) = -j - 5. Let y be h(b). Factor -t**y + t + t**3 - t - 3*t**3.
-t**3*(t + 2)
Let l(t) = 24*t**2 - 145*t + 8. Let h be l(6). Let v(r) be the first derivative of -4 + 0*r + h*r**6 + r**4 + 0*r**2 + 4*r**5 - 4/3*r**3. What is k in v(k) = 0?
-1, 0, 1/3
Suppose -4*a + 272 = 76. Factor 4*h - 2*h**2 + a + 50 - 99.
-2*h*(h - 2)
Let d(r) be the third derivative of -r**6/600 - r**5/30 + 11*r**4/120 - 314*r**2. Factor d(z).
-z*(z - 1)*(z + 11)/5
Suppose -8 - 1 = -5*o + 6. Factor 16/9 - 2/9*v**o + 4/3*v**2 - 8/3*v.
-2*(v - 2)**3/9
Let t(i) be the second derivative of 5*i**4/16 + 9*i**3/8 - 27*i**2/4 + 50*i. Factor t(g).
3*(g + 3)*(5*g - 6)/4
Let r(w) be the second derivative of -2/27*w**3 + 0*w**2 + 3*w + 1/54*w**4 + 0 + 1/90*w**5. Solve r(s) = 0 for s.
-2, 0, 1
Let q = 3425/4 - 3415/4. Factor -q*x**3 + 0 - 3/2*x**2 + x.
-x*(x + 1)*(5*x - 2)/2
Let y be (-532)/56*4/(-19). Suppose 0*x + 1/3*x**y + x**4 - 1/3*x**5 + 0 - x**3 = 0. What is x?
0, 1
Let h be ((-20)/6)/((-2)/(-3)). Let k be 3/h + 28/30. Factor 2/3*v**2 - 2/3 - k*v**3 + 1/3*v.
-(v - 2)*(v - 1)*(v + 1)/3
Let v be 9*((-50)/(-9) + -5). Let k(s) be the first derivative of -3/32*s**4 + 0*s**2 + 3/40*s**v + 8 + 0*s**3 + 0*s. Suppose k(b) = 0. What is b?
0, 1
Let l be -12 + 32/(32/15). What is w in 3/4*w**2 + 3 + l*w = 0?
-2
Let r(v) be the first derivative of v**4/2 - 52*v**3/3 - v**2 + 52*v - 31. Let r(w) = 0. What is w?
-1, 1, 26
Let d be (0*2/6)/(-1). Suppose -32*n = -14 - 82. Let 2*g**4 + d + 0*g + 10/3*g**n + 4/3*g**2 = 0. What is g?
-1, -2/3, 0
Let n(m) = 2*m**5 + 4*m**2 - 6*m. Let c(q) = q**3 - q. Let x = 17 + -18. Let p(l) = x*n(l) + 6*c(l). Solve p(r) = 0 for r.
-2, 0, 1
Let k be (7 - 7)/(1 + 0). Determine l, given that 2*l**3 + 12 + 8*l**2 + 4*l**3 + k*l**3 - 26*l = 0.
-3, 2/3, 1
Let o(y) be the third derivative of -9*y**8/784 + 33*y**7/490 - 2*y**6/35 - 2*y**5/7 + 2*y**4/7 + 8*y**3/7 - 16*y**2 + 9*y. Let o(u) = 0. Calculate u.
-2/3, 1, 2
Let 3/5 - 62/5*o - 21/5*o**2 = 0. Calculate o.
-3, 1/21
Let c(v) be the second derivative of -v**7/42 + 3*v**5/5 - 4*v**4/3 + 382*v. Determine p so that c(p) = 0.
-4, 0, 2
Let b(s) = -s**2 - 70*s - 261. Let g be b(-4). Factor 1/7*q**g + 0 + 0*q - 2/7*q**2.
q**2*(q - 2)/7
Let w(g) = 