ine b so that s(b) = 0.
-3, -1
Factor -10*p**2 + 2*p**3 + 57*p**2 - 41*p**2 + 4*p.
2*p*(p + 1)*(p + 2)
Let s = -33 - -35. Factor k**4 - 11*k**4 - 35*k + 8 + 40*k**s + 2 - 10*k**3 + 0 + 5*k**5.
5*(k - 1)**4*(k + 2)
Suppose -174 = -29*d - 87. Factor 0*c + 32/11*c**d + 0*c**2 + 2/11*c**5 + 16/11*c**4 + 0.
2*c**3*(c + 4)**2/11
Let x(q) be the first derivative of -9*q**6/2 + 18*q**5/5 + 249*q**4/16 + 25*q**3/4 + 3*q**2/4 + 141. Let x(i) = 0. What is i?
-1, -1/6, 0, 2
Suppose -5*b - f = 42 - 151, -55 = -3*b + 2*f. Let u = b + -11. Solve -u*s - 2 - 5*s**2 + 2*s**2 - s**2 - 4*s**2 = 0 for s.
-1, -1/4
Let a(f) be the third derivative of 5*f**8/84 + 13*f**7/42 + 5*f**6/8 + 7*f**5/12 + 5*f**4/24 - 3*f**2 - 8*f. Solve a(o) = 0.
-1, -1/4, 0
Let v(s) be the second derivative of -121*s**6/40 - 297*s**5/4 - 177*s**4/4 - 8*s**3 - 2*s + 62. Determine o, given that v(o) = 0.
-16, -2/11, 0
Let a(v) = 5*v**2 - 304*v + 5784. Let b(o) = -30*o**2 + 1815*o - 34705. Let u(s) = 25*a(s) + 4*b(s). Factor u(x).
5*(x - 34)**2
Let m = -20 - -22. Find d such that 0*d**m - 7 - 4*d**2 + 5*d + 2*d**3 - 1 - 19*d = 0.
-1, 4
Let b(q) be the third derivative of -17*q**5/150 + 3*q**4/5 - 4*q**3/15 + 38*q**2 + 2. Let b(y) = 0. What is y?
2/17, 2
Let u(g) be the second derivative of 18*g + 0*g**2 - 1/6*g**6 + 0 + 0*g**3 - 5/6*g**4 + 3/4*g**5. Suppose u(l) = 0. What is l?
0, 1, 2
Let g be ((6/(-4))/(-3))/(-52). Let r = g + 109/520. Factor -1/5*q + 0 + 0*q**2 + r*q**3.
q*(q - 1)*(q + 1)/5
Let y be 6/(-14) + 3/7. Let f = 0 - y. Factor -4*a**2 + 6*a + 7*a**2 + f*a.
3*a*(a + 2)
Let f(p) be the first derivative of -2/9*p**3 + 0*p**2 - 4 + 1/12*p**4 + 0*p. Factor f(u).
u**2*(u - 2)/3
Let v(d) be the third derivative of -d**7/1260 + d**6/2520 - 7*d**4/24 + 17*d**2. Let s(o) be the second derivative of v(o). Factor s(t).
-2*t*(7*t - 1)/7
Let f(d) be the third derivative of -d**5/12 + 55*d**4/12 + 40*d**3 + 129*d**2. Solve f(z) = 0.
-2, 24
Let f = -3 - -25. Let p = 22 - f. Factor 2/3*u**2 + 0 + p*u.
2*u**2/3
Let l(g) be the third derivative of -1/16*g**6 - 3/20*g**5 + 0 + 0*g**4 - 1/140*g**7 + 0*g - 6*g**2 + 0*g**3. Solve l(x) = 0 for x.
-3, -2, 0
Let q(y) be the third derivative of -y**5/4 - 65*y**4/24 - 10*y**3/3 + y**2 - 42. Determine m, given that q(m) = 0.
-4, -1/3
Let u(y) be the third derivative of 0 + 0*y - 35/6*y**3 + 7*y**2 + 1/12*y**5 + 5/4*y**4. Suppose u(p) = 0. Calculate p.
-7, 1
Let r be (-64)/36 + (-4)/18. Let a be (-1 - r) + 1 + 1. Factor 4*i**a - 5*i - 2 - 11*i**4 + 13*i**4 + i.
2*(i - 1)*(i + 1)**3
Let s(q) = -2*q**3 - 5*q**2 - 4*q + 1. Suppose 0 = -3*b - 16 + 13. Let z be s(b). Suppose 0 + 8*i**z + 2*i - 7/2*i**4 + 5/2*i**3 = 0. Calculate i.
-1, -2/7, 0, 2
Let z(g) be the second derivative of -g**7/10080 - g**4/3 - 7*g. Let h(d) be the third derivative of z(d). Determine j so that h(j) = 0.
0
Let b(z) be the first derivative of 2*z**6/15 + z**5/5 - z**4/3 - 2*z**3/3 - 13*z - 24. Let x(i) be the first derivative of b(i). Solve x(j) = 0.
-1, 0, 1
Let x(v) = -141*v - 2959. Let a be x(-21). Find d, given that -1/2*d**a + 2 + 0*d = 0.
-2, 2
Let n(w) = w**5 - w**4 + w**2 + 4*w. Let y(o) = 2*o**5 + 3*o**4 - 9*o**3 - o**2. Let u(c) = -3*n(c) - 3*y(c). Let u(h) = 0. What is h?
-2, -2/3, 0, 1
Let q(l) be the first derivative of 9*l**5/10 - 187*l**4/8 + 283*l**3/2 + 1287*l**2/4 + 121*l + 44. Determine z, given that q(z) = 0.
-1, -2/9, 11
Let v(u) be the second derivative of u**6/60 - u**5/5 + u**4/4 + 10*u**3/3 + 5*u**2 - 21*u. Let s(k) be the first derivative of v(k). Solve s(l) = 0.
-1, 2, 5
Let q(v) be the third derivative of v**7/224 + 5*v**6/144 + v**5/32 + 11*v**3/6 + 10*v**2. Let x(f) be the first derivative of q(f). Solve x(n) = 0 for n.
-3, -1/3, 0
Let t(x) be the second derivative of -x**6/30 + 4*x**5/15 - x**4/2 + 3*x**2/2 - 5*x. Let z(q) be the first derivative of t(q). Solve z(m) = 0 for m.
0, 1, 3
Let t(i) be the second derivative of i**5/20 - 11*i**4/12 - 25*i**3/6 - 13*i**2/2 - 2*i + 63. Find y, given that t(y) = 0.
-1, 13
Suppose -72/5 - 6*v + 3/5*v**2 = 0. What is v?
-2, 12
Suppose 0*k**2 - 2/7*k**3 + 2/7*k + 0 = 0. What is k?
-1, 0, 1
Let i(u) = 6*u**3 + 10*u**2 - 6*u - 10. Let x(v) = v**3 - v. Let w(j) = i(j) - x(j). Factor w(h).
5*(h - 1)*(h + 1)*(h + 2)
Suppose 0 = 19*z - 15*z. Let o(t) be the second derivative of 0 + z*t**3 - 1/30*t**4 + 0*t**2 - 1/25*t**5 - 1/75*t**6 + t. Factor o(s).
-2*s**2*(s + 1)**2/5
Find b such that 8*b**3 + 24/5 - 44/5*b + 4/5*b**5 + 0*b**2 - 24/5*b**4 = 0.
-1, 1, 2, 3
Let 46*z**2 - 103 + 23 + 5*z**4 + 20*z - 35*z**3 + 0*z + 14*z**2 = 0. Calculate z.
-1, 2, 4
Let n(o) be the second derivative of -25/2*o**2 + 15/2*o**3 - 5/4*o**4 - 17*o - 1/4*o**5 + 0. Solve n(b) = 0 for b.
-5, 1
Let r be (2/(-4))/(4/432*9). Let y(c) = 3*c**3 - 23*c**2. Let j(l) = l**3 - 11*l**2. Suppose 11 = u - 2. Let n(h) = r*y(h) + u*j(h). What is x in n(x) = 0?
-1, 0
Let m be (-1)/(-20) - (-9)/36. Let n(x) be the first derivative of 0*x**4 + 0*x**2 - 1 + 1/2*x**3 - m*x**5 + 0*x. Factor n(j).
-3*j**2*(j - 1)*(j + 1)/2
Let k = -6830/13 + 42249/65. Let c = 125 - k. Factor -2/5*d**2 + 2/5*d + c*d**4 - 2/5*d**3 + 0.
2*d*(d - 1)**2*(d + 1)/5
Factor -40*l + 135*l + 5*l**3 - 55*l**2 - 62 + 17.
5*(l - 9)*(l - 1)**2
Suppose 4*b - 61*b**2 + 5 + 59*b**2 + 5*b = 0. Calculate b.
-1/2, 5
Let t(m) be the second derivative of -m**6/40 + 7*m**5/40 - m**4/4 - m**3/3 + 3*m. Let f(q) be the second derivative of t(q). Determine u so that f(u) = 0.
1/3, 2
Let d(g) be the first derivative of -g**6/9 + 16*g**5/15 + 7*g**4 + 136*g**3/9 + 47*g**2/3 + 8*g + 13. What is i in d(i) = 0?
-1, 12
Let j(h) be the third derivative of h**6/60 - 61*h**5/10 + 3721*h**4/4 - 226981*h**3/3 + 9*h**2 - 22*h. What is b in j(b) = 0?
61
Suppose -4*g + 5*g + 1 = 0, 2 = 3*n + 4*g. Let p be 1 + n - (-2 + 1 + 4). Solve -2/7*j**2 - 2/7*j + p = 0 for j.
-1, 0
Factor 48*o - 960 - 3/5*o**2.
-3*(o - 40)**2/5
Let c(d) be the first derivative of 0*d + 9 + 5/4*d**4 + 10/3*d**3 + 5/2*d**2. Find q, given that c(q) = 0.
-1, 0
Let l(n) be the second derivative of n**4/48 - n**3/12 + n**2/8 + 277*n. Factor l(c).
(c - 1)**2/4
Let b(x) be the second derivative of -x**6/180 - x**5/30 + 5*x**4/72 - 39*x. Solve b(g) = 0.
-5, 0, 1
Suppose -1/2*l**5 - 13*l**3 - 9 + 4*l**2 + 5*l**4 + 27/2*l = 0. Calculate l.
-1, 1, 3, 6
Let q = 5577/4 + -1394. Let o = -2/119 + 365/476. Factor -1/4*j**4 + 1/2 - 3/4*j**3 - q*j**2 + o*j.
-(j - 1)*(j + 1)**2*(j + 2)/4
Let h(z) = 10*z**3 - 440*z**2 + 925*z. Let t(x) = -40*x**2 - 12*x + 67*x + 59*x - 30*x + x**3. Let i(k) = -4*h(k) + 45*t(k). Factor i(u).
5*u*(u - 4)**2
Let l(h) be the third derivative of h**7/1155 - h**6/220 - h**5/66 + h**4/44 + 4*h**3/33 + 270*h**2 + h. Suppose l(k) = 0. Calculate k.
-1, 1, 4
Let r(g) be the second derivative of 5*g**4/4 - 11*g**3/2 + 253*g. Factor r(t).
3*t*(5*t - 11)
Find w, given that -3/2*w**4 + 6*w**2 - 12*w + 3*w**3 + 0 = 0.
-2, 0, 2
Let v be (-1391)/18 + 6/(-4). Let q = v + 79. Determine n, given that 0 + q*n**2 - 4/9*n = 0.
0, 2
Let l(o) be the third derivative of -o**5/540 - 7*o**4/216 + 22*o**3/27 + 3*o**2 + 4*o. Solve l(g) = 0 for g.
-11, 4
Factor 0 + 19/5*d + d**2.
d*(5*d + 19)/5
Let f = 2026 - 2026. Factor f + 1/7*l**4 + 1/7*l - 1/7*l**3 - 1/7*l**2.
l*(l - 1)**2*(l + 1)/7
Let s(v) be the second derivative of v**6/120 - v**5/20 - 11*v**4/48 - v**3/4 + v - 29. Factor s(k).
k*(k - 6)*(k + 1)**2/4
Let -16*h**3 + 940*h**2 + 36 + 27*h**3 + 31*h**3 + 50*h**3 + 8*h**3 + 364*h = 0. Calculate h.
-9, -1/5
Let w(c) be the third derivative of -1/1176*c**8 + 1/105*c**5 + 0 - 2/735*c**7 + 0*c**3 - 48*c**2 + 0*c + 1/84*c**4 + 0*c**6. Factor w(l).
-2*l*(l - 1)*(l + 1)**3/7
Let j(k) be the third derivative of -k**5/120 - 65*k**4/48 - 21*k**3/2 + 202*k**2 + 1. Solve j(u) = 0.
-63, -2
Let q(a) be the second derivative of 3*a**5/100 + 3*a**4/20 - 9*a**3/5 - 454*a. Factor q(l).
3*l*(l - 3)*(l + 6)/5
Suppose 5/6*x**4 + 1/6*x**5 + 7/6*x**3 + 1/2*x**2 + 0 + 0*x = 0. What is x?
-3, -1, 0
Let i(t) = -t**3 - 5*t**2 - 13*t - 9. Let s(y) = 4*y**3 + 24*y**2 + 64*y + 44. Let f(v) = 28*i(v) + 6*s(v). Factor f(x).
-4*(x - 3)*(x + 1)**2
Let h be (32 - (-819)/(-26))*(-4)/10*-3. Determine y, given that -3/5*y + 2/5 + h*y**3 - 1/5*y**4 - 1/5*y**2 = 0.
-1, 1, 2
Let h be (3/2*1992/(-830))/((-21)/1