*i.
(i - 1)*(i + 1)/3
Let y be (4 + 0)*-1 + -1. Let g(o) = -80*o**2 + 60*o - 7. Let r(a) = -399*a**2 + 300*a - 36. Let s(w) = y*r(w) + 24*g(w). Let s(h) = 0. What is h?
2/5
Factor 8*c + 5*c**4 - 5*c**2 + 3*c**5 - 9*c - 3*c**3 + c**5.
c*(c - 1)*(c + 1)**2*(4*c + 1)
Let q(i) be the second derivative of i**7/12600 + i**6/3600 - i**5/300 - i**4/3 - 3*i. Let u(n) be the third derivative of q(n). Factor u(c).
(c - 1)*(c + 2)/5
Suppose 5*l = 2*l, 2*x + 4 = -l. Let o = 8/3 + x. Solve -o*c + 0 + 1/3*c**2 = 0 for c.
0, 2
Let z(x) be the first derivative of -x**8/560 - 3*x**7/350 - x**6/150 + x**3 - 3. Let q(i) be the third derivative of z(i). Factor q(v).
-3*v**2*(v + 2)*(5*v + 2)/5
Let a(l) be the second derivative of -l**4/114 + 4*l**3/57 - 3*l**2/19 - 3*l. Factor a(x).
-2*(x - 3)*(x - 1)/19
Let u(y) be the third derivative of -1/30*y**5 + 1/105*y**7 + 1/336*y**8 + y**2 + 0*y - 1/24*y**4 + 0*y**3 + 0*y**6 + 0. Factor u(t).
t*(t - 1)*(t + 1)**3
Let p(z) be the first derivative of 9/2*z**4 - 1 + 2*z**3 - 2*z**2 + 0*z - 4*z**5. Let p(w) = 0. What is w?
-1/2, 0, 2/5, 1
Let o(f) be the third derivative of -16/105*f**7 - f**2 + 0*f + 11/60*f**6 + 0*f**4 - 1/15*f**5 + 0 + 0*f**3 + 1/24*f**8. Factor o(r).
2*r**2*(r - 1)**2*(7*r - 2)
Determine f so that -2*f**4 - 4*f**3 + 3*f**2 - 5*f**2 - 2*f**4 + 2*f**4 = 0.
-1, 0
Let c = 4/45 - -136/495. Suppose -14/11*f - 14/11*f**2 - c*f**3 - 4/11 = 0. What is f?
-2, -1, -1/2
Let y(f) be the third derivative of 2*f**7/15 - 37*f**6/30 + 59*f**5/15 - 35*f**4/6 + 4*f**3 + 11*f**2. Find h, given that y(h) = 0.
2/7, 1, 3
Let g(i) be the third derivative of -1/120*i**6 + 1/24*i**4 + 0 + 0*i + 0*i**3 + 0*i**5 - i**2. Determine n, given that g(n) = 0.
-1, 0, 1
Let p(x) = x**3 + 5*x**2 + 3*x + 4. Let o be p(-3). Suppose -o = -4*s - 1. Let 7*v - 7*v**s - 49/4*v**4 + 45/4*v**2 + 1 = 0. Calculate v.
-1, -2/7, 1
Determine o, given that 8/11*o + 2/11 + 8/11*o**3 + 2/11*o**4 + 12/11*o**2 = 0.
-1
Let y(w) be the first derivative of 3 - 1/8*w**2 + 0*w - 1/12*w**3. Factor y(c).
-c*(c + 1)/4
Let c(k) = -6*k**4 - 2*k**3 + 10*k**2 + 22*k + 6. Let m(x) = 2*x**4 + x**3 - 3*x**2 - 7*x - 2. Let t = -7 + 4. Let w(p) = t*c(p) - 10*m(p). Factor w(h).
-2*(h - 1)*(h + 1)**3
Let d(l) be the third derivative of l**6/1440 + 13*l**5/720 + l**4/6 + l**3/2 + 15*l**2. Factor d(r).
(r + 1)*(r + 6)**2/12
Let t = -6 + 13. Let l be (6/5)/(6/15). Suppose -t*z**2 + 3*z**2 - 6*z + z**l - 3*z**3 - 2 - 2*z**2 = 0. What is z?
-1
Let g be (4/(-48)*-4)/((-1)/(-1)). Solve 0*y + 1/3*y**4 + g - 2/3*y**2 + 0*y**3 = 0 for y.
-1, 1
Solve 2 - g**2 - 11 + 16*g - 7 - 3*g**2 = 0 for g.
2
Let n(v) = 21*v**4 - 51*v**3 + 39*v**2 - 9*v - 4. Let b(f) = 85*f**4 - 205*f**3 + 155*f**2 - 35*f - 15. Let s(c) = 4*b(c) - 15*n(c). What is u in s(u) = 0?
0, 1/5, 1
Let u be -56 + -2 + 3*-1. Let q = 245/4 + u. Factor q - 1/4*g**2 + 0*g.
-(g - 1)*(g + 1)/4
Let s = -528/7 + 76. Find d, given that 4/7*d**3 - 2/7*d**4 + 0 - s*d + 2/7*d**2 = 0.
-1, 0, 1, 2
Suppose -16*l**4 - 5*l**5 - 2*l**2 - 12*l**5 + 236*l**3 - 222*l**3 - 15*l**5 = 0. What is l?
-1, 0, 1/4
Let l be 1/(-15)*1 - (-4)/10. Let v(u) be the first derivative of u**2 + 2/3*u**3 - l*u**4 - 4/3*u - 4. Suppose v(z) = 0. Calculate z.
-1, 1/2, 2
Let o = -2/91 + 188/273. Let t(b) = -b**2 - 2*b + 5. Let d be t(-3). Factor 0*h**d + 0 + o*h - 2/3*h**3.
-2*h*(h - 1)*(h + 1)/3
Suppose 3*c - 14 = c. Let x(t) = -3*t**4 - 2*t**3 + t**2 - 4*t - 4. Let d(s) = -5*s**4 - 3*s**3 + 2*s**2 - 7*s - 7. Let j(g) = c*x(g) - 4*d(g). Factor j(y).
-y**2*(y + 1)**2
Let y(s) = -s**4 - s**2 + 1. Let c(w) = -9*w**4 + 16*w**3 - 13*w**2 + 2*w + 2. Let t(a) = c(a) - 2*y(a). Factor t(r).
-r*(r - 1)**2*(7*r - 2)
Factor 42*m + 6 + 147/2*m**2.
3*(7*m + 2)**2/2
Suppose -3*p + 7*p + 16 = 0. Let o be p/90*(1 + -6). Factor o*k**2 + 0 - 2/9*k.
2*k*(k - 1)/9
Let -11*y**2 - 9*y**2 - 4*y**2 + 28*y**2 = 0. What is y?
0
Let g(h) = 4 - 4 - 8*h - 48*h**3 + 42*h**2. Let c(p) = -47*p**3 - 13*p**2 + 56*p**2 + 24*p - 32*p. Let a(z) = 2*c(z) - 3*g(z). What is s in a(s) = 0?
0, 2/5
Solve 0 - 1/4*u**3 - 1/4*u**4 + 0*u**2 + 0*u = 0.
-1, 0
Let c(m) be the first derivative of 4*m**3/3 - 20*m**2 + 100*m - 29. Determine k so that c(k) = 0.
5
Let c(o) = -o**3 + 7*o**2 - 9*o. Let q be c(6). Let y be (-6)/6 - q/14. Determine i so that y + 2/7*i**2 + 4/7*i = 0.
-1
Let w(m) = -m**2 + 6*m + 2. Let y be w(6). Factor 2*d - 2*d**5 - 4*d**y + 4*d**4 + 13*d**3 - 13*d**3.
-2*d*(d - 1)**3*(d + 1)
Let m = 44 - 44. Let -1/3*p**2 + m + 1/3*p**3 + 0*p = 0. Calculate p.
0, 1
Let a(k) = 24*k**4 - 16*k**2 + 34*k + 14. Let y(u) = -5*u**4 + 3*u**2 - 7*u - 3. Let f(d) = -6*a(d) - 28*y(d). Determine l, given that f(l) = 0.
-2, 0, 1
Let b = -285 + 1143/4. Determine n so that 1/4*n**5 + b*n**4 + 0*n**3 - n**2 + 0*n + 0 = 0.
-2, 0, 1
Let z be 2/(-15) + (-21)/(-45). Let c(d) be the first derivative of 0*d**2 + 0*d - z*d**3 + 1 - 1/2*d**4 - 1/5*d**5. Determine h so that c(h) = 0.
-1, 0
Solve -1/4 + v**3 - 1/4*v**4 - 3/2*v**2 + v = 0.
1
Let n(u) be the second derivative of -u**5/60 + 2*u**4/9 - 5*u**3/18 - 25*u**2/3 - 39*u. Factor n(q).
-(q - 5)**2*(q + 2)/3
Let m be 32/12*12/44. Factor 0 - 12/11*k**3 + 8/11*k**4 - 2/11*k + m*k**2 - 2/11*k**5.
-2*k*(k - 1)**4/11
Let z(h) be the first derivative of -h**6/33 + 4*h**5/55 + 72. Suppose z(l) = 0. What is l?
0, 2
Let k = 1 + 4. Factor -36*l**3 - 4*l**k - 8*l + 57 + 28*l**2 + 20*l**4 - 57.
-4*l*(l - 2)*(l - 1)**3
Let l(k) = 2*k**2 + 2*k - 2. Let i be l(-3). Suppose -3*v = -i + 4. What is m in v*m**2 + 4*m**2 - 5*m**2 + m**3 - m**5 - m**4 = 0?
-1, 0, 1
Let o(m) = 6*m + 56. Let z be o(-9). Let 0 - 2/7*r**z + 2/7*r = 0. Calculate r.
0, 1
Let q be (4 - 2 - 3) + 3. Factor -y**2 - 13 - q*y**2 + 12*y + 4.
-3*(y - 3)*(y - 1)
Let r(w) = 2*w - 30. Let g be r(17). Let q be (0 + 4)/((-10)/(-3)). Determine l, given that 0 - 6/5*l**3 + 0*l - 4/5*l**g + 4/5*l**2 + q*l**5 = 0.
-1, 0, 2/3, 1
Let w(t) be the third derivative of t**7/1575 - t**6/900 - t**5/225 - 16*t**2. Factor w(b).
2*b**2*(b - 2)*(b + 1)/15
Factor -4*z**3 - 2*z - 2*z - z**3 - 4*z**4 + 5*z**4 + 8*z**2.
z*(z - 2)**2*(z - 1)
Factor 5*s**3 - 10*s**3 + s**3.
-4*s**3
Let g(x) be the third derivative of -x**10/7560 + x**9/3780 + x**8/840 + 3*x**4/8 + 3*x**2. Let q(s) be the second derivative of g(s). Factor q(a).
-4*a**3*(a - 2)*(a + 1)
Suppose -2 = w - 14. Factor 3 + 3*o**2 + 9*o - 9*o**2 + 3*o**5 - w*o**3 + 3.
3*(o - 2)*(o - 1)*(o + 1)**3
Let l be -2 + 0 + (-4)/(-2). Let h = l - -5. Factor -4*x**3 + x + 0*x**3 + 2*x**h + x.
2*x*(x - 1)**2*(x + 1)**2
Let v(u) be the first derivative of -2*u**3/9 - u**2 + 8*u/3 - 18. Factor v(g).
-2*(g - 1)*(g + 4)/3
Let s(i) be the first derivative of 1/9*i**3 + 1/12*i**4 + 3 - 1/3*i - 1/6*i**2. What is h in s(h) = 0?
-1, 1
Let d(n) be the first derivative of -1/12*n**4 - n + 2 + 1/3*n**3 + 0*n**2. Let p(y) be the first derivative of d(y). Solve p(f) = 0.
0, 2
Let j(l) be the second derivative of l**5/10 + l**4/3 + l**3/3 - 17*l. Factor j(y).
2*y*(y + 1)**2
Let a = -13/77 + 5/11. Solve a*b**2 + 0 - 2/7*b = 0.
0, 1
Determine i so that -2*i + i**4 - 6*i**2 + 8 + 2*i**3 - 4 + i**4 = 0.
-2, -1, 1
Let l(g) be the third derivative of g**5/480 - g**4/32 - 14*g**2. What is b in l(b) = 0?
0, 6
Let s = -101 - -101. Let x(g) be the third derivative of 0*g**4 + 1/30*g**5 + 1/120*g**6 + 2*g**2 + s - 1/70*g**7 + 0*g**3 + 0*g. Determine w so that x(w) = 0.
-2/3, 0, 1
Solve 1/2*f**3 - 3/2 - 5/2*f - 1/2*f**2 = 0 for f.
-1, 3
Let u(x) be the first derivative of -x**6/2 - 6*x**5/5 + 9*x**4/4 + 8*x**3 + 6*x**2 + 2. Determine s so that u(s) = 0.
-2, -1, 0, 2
Let l = 1077/5 - 215. Suppose l*n - 3/5*n**2 + 0 = 0. Calculate n.
0, 2/3
Let p(j) = 71*j**4 - 19*j**3 - 198*j**2 - 136*j - 20. Let h(w) = -72*w**4 + 18*w**3 + 198*w**2 + 135*w + 21. Let d(a) = -4*h(a) - 3*p(a). Solve d(t) = 0.
-1, -2/5, 2
Let o be (-9)/36*(1 - 13) - 3. Let v = -88/3 - -30. Let -1/3*z + v*z**4 + o + 1/3*z**3 - 2/3*z**2 = 0. What is z?
-1, -1/2, 0, 1
Suppose 1 = 5*p - 14. Suppose -p*z = -0*z. Suppose 0*w + 2/7*w**2 + 2/7*w**3 + z = 0. Calculate w.
-1, 0
Factor 970/9*x**3 - 556/9*x**2 - 16/9 - 800/9*x**4 + 152/9*x + 250/9*x**5.
2*(x - 1)**2*(5*x - 2)**3/9
Factor -4/7*n + 8/7 - 4/7*n**2.
-4*(n - 1)*(n + 2)/7
Let f(q) be the second derivative of -q**6/10 - 9*