e the second derivative of 3/40*y**5 + 0 - 2*y - 1/120*y**6 - y**3 - 2*y**2 - 1/48*y**4. Find z such that l(z) = 0.
-1, 4
Let l(x) be the first derivative of -1/15*x**5 + 1/6*x**2 + 0*x - 3 + 1/9*x**3 - 1/12*x**4. Determine t, given that l(t) = 0.
-1, 0, 1
Let m(z) = -6*z**2 + 7*z**2 - z**3 + 4 + 33*z - 33*z. Let t be m(2). Factor -1/2*a**4 + 1/2*a**2 + 0*a + 0*a**3 + t.
-a**2*(a - 1)*(a + 1)/2
Let q = 27 + -18. Suppose 0 = g - 4*g + q. Suppose 3*r**4 - 4*r**2 + r**2 + 6*r + 0*r**g - 3*r**3 - 3*r = 0. What is r?
-1, 0, 1
Let g be (-14)/(-4) - (2 - 14 - 27/(-2)). Factor 1/2*z**4 - 5/2*z**g + 0 - 3/2*z - 1/2*z**3.
z*(z - 3)*(z + 1)**2/2
Suppose 0 = 16*d + 59*d. Let s(y) be the second derivative of d*y**3 + 0*y**2 + 0 + 0*y**5 + 1/252*y**7 + 0*y**4 - 1/180*y**6 - 10*y. Factor s(i).
i**4*(i - 1)/6
Solve -3/2*s**2 + 45/2 - 3*s = 0 for s.
-5, 3
Let o(i) be the third derivative of i**6/540 + 4*i**5/135 - i**4/108 - 8*i**3/27 - 228*i**2. Find d, given that o(d) = 0.
-8, -1, 1
Let h(m) be the third derivative of -9*m**7/70 - 19*m**6/10 - 73*m**5/45 - 4*m**4/9 + m**2 - 19. Factor h(v).
-v*(v + 8)*(9*v + 2)**2/3
Suppose 4*v - 20 = 8*v, -4*h + 139 = 5*v. Determine m so that -35*m**2 - 10*m + 31*m**5 + 35*m**4 - h*m**5 + 25*m**5 - 5*m**3 = 0.
-2, -1, -1/3, 0, 1
Factor 0 + 40/3*q - 4/3*q**2.
-4*q*(q - 10)/3
What is r in 27/2 - 9/2*r**4 + 3/2*r**5 + 63/2*r - 9*r**3 + 15*r**2 = 0?
-1, 3
Suppose 0 + 9/7*a**3 - 15/7*a**4 + 3/7*a**5 + 27/7*a**2 + 0*a = 0. What is a?
-1, 0, 3
Let o = -7 + 10. Factor 8*m**4 + 20*m**5 - 654*m**3 + 654*m**o.
4*m**4*(5*m + 2)
Suppose 9*k = 65 + 664. Let b be k/(-108)*16/(-3). Factor 8/7 + 24/7*z - 24/7*z**3 + 2/7*z**2 + 8/7*z**b.
2*(z - 2)**2*(2*z + 1)**2/7
Factor -3/2 + 39/4*g**2 - 33/4*g.
3*(g - 1)*(13*g + 2)/4
Let m = 152 - 153. Let c be m*(-8)/10 - (-6)/(-20). What is p in -1/2*p**5 + p**3 - c*p**4 - 1/2*p - 1/2 + p**2 = 0?
-1, 1
Let i(n) be the first derivative of -n**3/9 + 38*n**2/3 - 1444*n/3 - 29. Factor i(p).
-(p - 38)**2/3
Let d(u) = 5*u**3 - u**2 - 3*u + 3. Let r be d(1). Suppose -l = w + 1, -5*w - 1 = r. Suppose -4*m**2 + l + 4/3*m + 7/3*m**4 - 3*m**3 = 0. What is m?
-1, 0, 2/7, 2
Solve 2/19*v**3 + 2/19*v**2 - 8/19*v - 8/19 = 0.
-2, -1, 2
Let j(a) be the first derivative of 11*a**6/15 - 108*a**5/25 + 36*a**4/5 - 52*a**3/15 - 3*a**2/5 + 512. What is f in j(f) = 0?
-1/11, 0, 1, 3
Let k be ((-40)/(-6))/4*(-30)/1950*-91. Factor -k*h**3 + 1/3 - 1/3*h**2 + 7/3*h.
-(h - 1)*(h + 1)*(7*h + 1)/3
Let r(f) be the third derivative of 11*f**6/30 + 8*f**5/15 - f**4/2 + 22*f**2. Factor r(w).
4*w*(w + 1)*(11*w - 3)
Let p be 2/8 + (-81)/(-60). Let l = 336/215 - -36/43. Suppose l*j**3 + 2/5*j + 8/5*j**4 + 2/5*j**5 + 0 + p*j**2 = 0. What is j?
-1, 0
Let q = -11 + -15. Let u = -22 - q. Factor -6*n + 6*n**3 + 6*n**2 + 6*n + 2*n**u + 2*n.
2*n*(n + 1)**3
Let b be ((-15)/(-25))/(1/25). Factor 5*s**3 - 10*s + 5*s**5 + 37*s**2 - 7*s**2 - 15*s**2 - b*s**4.
5*s*(s - 2)*(s - 1)**2*(s + 1)
Let h(t) = 2*t**2 - 2*t + 3. Let p(c) = 3*c**2 - 2*c + 4. Let l(g) = -4*h(g) + 3*p(g). Determine y so that l(y) = 0.
-2, 0
Let x(h) be the third derivative of 1/210*h**6 + 22*h**2 + 0 + 8/21*h**3 - 1/35*h**5 + 0*h + 0*h**4. Factor x(g).
4*(g - 2)**2*(g + 1)/7
Let i(m) be the second derivative of 0 - 7/18*m**3 + 1/12*m**4 - 2*m - m**2. Factor i(t).
(t - 3)*(3*t + 2)/3
Factor -82/7 + 12*h - 2/7*h**2.
-2*(h - 41)*(h - 1)/7
Factor -70304 - 78*x**2 - 4056*x - 1/2*x**3.
-(x + 52)**3/2
Suppose -2*p - 2*p = -84. Let f = -19 + p. Factor s**2 + s**2 - 2*s**2 - 2 + f*s**2.
2*(s - 1)*(s + 1)
Let y(w) be the second derivative of -2*w**2 + 4/3*w**4 + 0 - 2*w**3 - 24*w. Factor y(r).
4*(r - 1)*(4*r + 1)
Let n be 180/24 - 9/6. Let d(o) be the second derivative of 0*o**2 - 9/10*o**n - 7*o**4 + 5*o + 9/2*o**5 + 0 + 4*o**3. Let d(h) = 0. Calculate h.
0, 2/3, 2
Let p be (0 - 0)*((-527)/51 + 10). Factor p*o**2 + 0 - 1/3*o**5 - 4/3*o**4 + 0*o - 4/3*o**3.
-o**3*(o + 2)**2/3
Let m(g) = 22*g**3 - 8*g. Let s(z) = -3*z**3 + z**2. Let k(d) = -3*m(d) - 21*s(d). Factor k(l).
-3*l*(l - 1)*(l + 8)
Factor -22*c - 84 + 2*c**4 - 18*c**3 - 21*c**2 - 21*c**2 + 84.
2*c*(c - 11)*(c + 1)**2
Let k(y) be the second derivative of -y**6/90 - y**5/20 + 5*y**4/36 + y**3/6 - 2*y**2/3 - 578*y. Factor k(s).
-(s - 1)**2*(s + 1)*(s + 4)/3
Factor -939*u + 4*u**4 + 2*u**5 - 4*u**5 - 4*u**2 + 941*u.
-2*u*(u - 1)**3*(u + 1)
Let a = -2194 - -2196. Factor -2/9*t**a + 0 + 2/9*t.
-2*t*(t - 1)/9
Suppose -10*v + 15 = -5*v. Let f = 20 - 12. Factor 0*b**2 + f*b - v*b**2 - b**2 - 4.
-4*(b - 1)**2
Suppose g = -g + 72. Factor -g + 30*w + 2*w**2 + 3*w**2 + 5 - 4.
5*(w - 1)*(w + 7)
Let i(k) be the third derivative of k**7/42 - k**6/4 + k**5 - 25*k**4/12 + 5*k**3/2 - 12*k**2 - 1. Factor i(h).
5*(h - 3)*(h - 1)**3
Factor m**3 - 39*m**2 + 490*m + 93*m**2 + 1352 + 290*m.
(m + 2)*(m + 26)**2
Solve -7*p**5 - 414*p**3 + 66*p**2 + 2*p**5 - 4*p**5 - 6 + 318*p**3 - 7*p + 52*p**4 = 0.
-2/9, 1, 3
Factor 0 - 2/7*y**5 + 0*y + 2/7*y**4 - 2/7*y**2 + 2/7*y**3.
-2*y**2*(y - 1)**2*(y + 1)/7
What is p in 8*p**2 + 20*p - 24 + p**2 - 4*p**2 - 7*p**2 - p**3 = 0?
-6, 2
Let n(h) = 3*h**5 + 40*h**4 + 116*h**3 - 4*h**2 + 4*h. Let m(r) = 3*r**5 + 39*r**4 + 114*r**3 - 3*r**2 + 3*r. Let s(z) = 4*m(z) - 3*n(z). Solve s(j) = 0.
-6, 0
Let g(u) be the first derivative of -6*u**5/5 - 2*u**4/3 + 350*u**3/27 - 92*u**2/9 + 8*u/3 - 67. Let g(b) = 0. What is b?
-3, 2/9, 1/3, 2
Let g(b) = 12*b + 90. Let p be g(-8). Let i be 1 - 8/((-64)/p). Find v, given that -3/4*v - 1 + i*v**2 = 0.
-1, 4
Let l(y) = 2*y**2 + 66*y + 68. Let q(a) = -3*a**2 - 133*a - 137. Let x(p) = 7*l(p) + 4*q(p). Factor x(w).
2*(w - 36)*(w + 1)
Solve 20*k**4 + 15*k**5 - 5*k**3 - 5*k**3 - 20*k**2 - 1401*k + 1396*k = 0 for k.
-1, -1/3, 0, 1
Factor -22/9*o**2 + 8/3*o - 4/9*o**3 + 8 + 2/9*o**4.
2*(o - 3)**2*(o + 2)**2/9
Let p = 83 - 83. Let z be 0 + -1 - p - (-6)/2. Factor -16*w**z - 8*w**3 - 4/3*w**4 + 0 - 32/3*w.
-4*w*(w + 2)**3/3
Suppose c - 2*c = 1, 2*k - 3 = -5*c. Suppose 12 = 2*d + k*d. Solve -3*b**4 + 4*b**d - b**2 + b**2 + 2*b**2 - 3 = 0.
-1, 1
Factor 6*m**2 + 3*m**2 + 13*m - 17*m + 2*m**3 - 7*m**2.
2*m*(m - 1)*(m + 2)
Let m(y) be the first derivative of 15/2*y**2 - y**3 - 42 - 12*y. Factor m(b).
-3*(b - 4)*(b - 1)
Let o(j) = 2*j**2 - 7 + j**3 + 2*j + 2*j + 3*j**2 - 7*j. Let f be o(-5). Factor 7*z**4 + 0*z**4 - f*z**4.
-z**4
Let y be (-1 - 5)/((-6)/9). Let v = y - 7. Find f, given that 2*f**2 - 10*f**v + 2*f**3 + 2*f**3 + 0*f**2 = 0.
0, 2
Let j(x) be the second derivative of -x**4/18 - 88*x**3/9 - 1936*x**2/3 + 20*x + 2. Determine m so that j(m) = 0.
-44
Let l(h) = -5*h**3 - 15*h - 20. Let y(b) = -b**2 + 1. Let r(j) = -j**2 + 14*j - 25. Let t be r(10). Let v(q) = t*y(q) + l(q). Factor v(a).
-5*(a + 1)**3
Let p(k) = -k - 1. Let o(s) = -s**2 + 43*s - 50. Let c(a) = 5*o(a) - 20*p(a). Factor c(g).
-5*(g - 46)*(g - 1)
Factor 65 - 19 - 34*y - 4 + 62 + 2*y**2.
2*(y - 13)*(y - 4)
Suppose 3*b - 63 = -5*k, 2*k + 0*k = -b + 26. Suppose -4*n = k - 19. Let h(a) = a**2. Let x(q) = 24*q**2 + 24*q + 36. Let z(i) = n*x(i) - 20*h(i). Factor z(v).
4*(v + 3)**2
Factor -5/2*b**4 + 0 - 35/2*b**3 - 45/2*b - 75/2*b**2.
-5*b*(b + 1)*(b + 3)**2/2
Let l(j) be the first derivative of 2*j**5/5 + 3*j**4 + 8*j**3 + 8*j**2 + 48. Find s such that l(s) = 0.
-2, 0
Let d(j) be the third derivative of 0*j**3 + 0*j + 0 - 5/8*j**4 - 1/24*j**6 + 13*j**2 + 5/12*j**5 - 1/42*j**7. Factor d(b).
-5*b*(b - 1)**2*(b + 3)
Let v(f) be the first derivative of -308*f**2 + 4*f**3 + 336*f**2 - 20*f + 24 - 7. Factor v(j).
4*(j + 5)*(3*j - 1)
Let j(a) be the second derivative of -19*a + 0 + 1/42*a**4 + 1/3*a**3 + 6/7*a**2. Let j(x) = 0. Calculate x.
-6, -1
Let t(s) = -s + 4. Let d be t(2). Suppose 0 = q - 2*q + d. Let -q*y**2 - 48*y + 48*y = 0. Calculate y.
0
Suppose 60*w = -38*w. Factor -3/4*t + 1/4*t**2 + w.
t*(t - 3)/4
Let r(f) = 7*f**5 - 26*f**4 + 181*f**3 - 466*f**2 - 490*f + 2735. Let c(d) = 2*d**5 - d**4 + d**2 - 3. Let a(k) = -3*c(k) + r(k). Determine z so that a(z) = 0.
-2, 4, 7
Let i(p) be the second derivative of -26*p**6 + 0 - 10*p**3 + 30/7*p**7 + 17*p + 25/4*p**5 + 40*p**4 - 40*p**2. Suppose i(y) = 0. Calculate y.
-1/2, 2/3, 4
Suppose -3*v - 2*m = -m - 18, 3*m + 9 = 0. Suppose 10*k**3 - 6*k**4 - 65*k**2 + 60*k + 13*k**3 - 20 + k**4 + v*k*