se -2/3*t + n*t**3 + 0 - 4/3*t**2 = 0. What is t?
-1/3, 0, 1
Let f(z) = 15*z**4 - 6*z**3 - 22*z**2 + 6*z - 7. Let g(p) = -10*p**4 + 4*p**3 + 15*p**2 - 4*p + 5. Let k(d) = -5*f(d) - 7*g(d). Factor k(y).
-y*(y - 1)*(y + 1)*(5*y - 2)
Let a(h) = 18610*h**2 + 1225*h + 15. Let n(y) = 18611*y**2 + 1226*y + 14. Let u(c) = -6*a(c) + 5*n(c). Factor u(j).
-5*(61*j + 2)**2
Factor 6/5 + 7/10*m + 1/10*m**2.
(m + 3)*(m + 4)/10
Let s(q) = q - 3*q - 2*q + 3*q**2 - 2*q + 9. Let x(k) = 5 - 4*k**2 - 5*k + 7*k**2 + 5 + 0*k. Let g(m) = 4*s(m) - 3*x(m). Determine r so that g(r) = 0.
1, 2
Let r(v) be the second derivative of 0*v**5 + 0*v**2 + 0 + 0*v**3 + 0*v**6 + 0*v**4 - 2/21*v**7 - 16*v. Factor r(d).
-4*d**5
Let w(p) be the first derivative of 13*p**3/15 + 7*p**2/5 + p/5 - 540. Let w(r) = 0. Calculate r.
-1, -1/13
Let f(m) be the first derivative of -m**3/33 + 5*m**2/22 - 6*m/11 + 338. Factor f(s).
-(s - 3)*(s - 2)/11
Let d be (-29)/58 + 66/68. Let -d - 2/17*g**3 - 10/17*g**2 - 16/17*g = 0. What is g?
-2, -1
Suppose -26 - 2/3*a**2 - 80/3*a = 0. Calculate a.
-39, -1
Let v(m) be the third derivative of 0*m**5 + 0*m**3 - 1/4*m**4 + 0*m + 11*m**2 + 0 + 1/80*m**6. Factor v(w).
3*w*(w - 2)*(w + 2)/2
Let r(q) = -3*q + 5. Let v(d) = 2*d - 5. Let h(a) = -5*r(a) - 4*v(a). Let t be h(1). Factor 1/3 + 2/3*y - 1/3*y**4 + 0*y**t - 2/3*y**3.
-(y - 1)*(y + 1)**3/3
Let u be 1 + (-3)/(-3) + 3. Factor 24*g - 4 - 11 - 21 - u*g**2 + g**2.
-4*(g - 3)**2
Let y(o) = 13*o - 1. Let k be y(7). Suppose 2*n + 3*n - k = 0. Determine c, given that 9*c**4 + 10*c**4 - 5*c**4 - 10*c**2 + 0*c**4 - 18*c**3 - 4 + n*c = 0.
-1, 2/7, 1
Let x(i) be the second derivative of -5*i**7/14 + 199*i**6/30 - 33*i**5/20 - 251*i**4/12 + 8*i**3 + 26*i**2 - 513*i. Solve x(o) = 0 for o.
-1, -2/5, 2/3, 1, 13
Let d(o) be the first derivative of o**6/54 - 2*o**5/45 + 14. Factor d(h).
h**4*(h - 2)/9
What is f in 33*f**3 - 91*f**5 + 93*f**5 - 15*f**3 - 20*f + 14*f**2 - 14*f**4 = 0?
-1, 0, 1, 2, 5
Let b(g) be the second derivative of g**4/6 - 16*g**3/3 - 17*g**2 + 46*g - 2. Determine j, given that b(j) = 0.
-1, 17
Factor -20/3*w + 5/3*w**3 + 8/3 - 2/3*w**2.
(w - 2)*(w + 2)*(5*w - 2)/3
Let o(a) be the third derivative of 17/720*a**5 + 17*a + 0 - 7/1440*a**6 + 1/24*a**3 - a**2 - 13/288*a**4. Factor o(g).
-(g - 1)**2*(7*g - 3)/12
Let z = -39132 + 273927/7. Let -6/7*o + 9/7*o**2 + 0 - z*o**4 + 0*o**3 = 0. What is o?
-2, 0, 1
Let q = 6374 + -6372. Solve -36/5*b + 3/5*b**q + 108/5 = 0 for b.
6
Let g = 28 - 4. Let n = 52 - g. Find t, given that 16*t + 16 + 4*t**3 - 14*t**3 + 18*t**3 - n*t**2 = 0.
-1/2, 2
Let l(x) = -16*x**3 - 8*x**2 + 4*x + 15. Let b be l(-6). Find j, given that 8*j - 3180*j**2 + b*j**2 - 2*j = 0.
0, 2/7
Let y = 398 - 395. Let c(z) be the first derivative of 3/10*z**4 - 5 + 0*z + 0*z**2 + 2/15*z**y. Solve c(m) = 0 for m.
-1/3, 0
Let f(l) be the third derivative of l**6/480 - l**5/16 - l**4/96 + 5*l**3/8 - 12*l**2 + 1. Find n, given that f(n) = 0.
-1, 1, 15
Factor 20/7*j**4 + 66/7*j**3 + 2/7*j**5 + 0 + 80/7*j**2 + 32/7*j.
2*j*(j + 1)**2*(j + 4)**2/7
Let v(o) be the first derivative of o**4/36 - 5*o**3/27 - 11*o**2/9 + 56*o/9 + 582. Factor v(w).
(w - 7)*(w - 2)*(w + 4)/9
Let p(t) be the third derivative of t**6/600 - t**5/100 - 2*t**4/15 + 8*t**3/5 + t**2 + 34*t. Factor p(x).
(x - 4)*(x - 3)*(x + 4)/5
Let s(w) be the second derivative of w**5/40 + 19*w**4/12 - 79*w**3/12 + 10*w**2 + 4*w - 2. Let s(f) = 0. What is f?
-40, 1
Let x = 20/93 - -11/93. Factor 0*r + 0 - x*r**2.
-r**2/3
Let a be 462/56 + -8 - 6/56. Let p(r) be the first derivative of 0*r**3 + 0*r**2 - 6 + 0*r + 1/7*r**6 + 2/35*r**5 - a*r**4. Factor p(c).
2*c**3*(c + 1)*(3*c - 2)/7
Let k(p) be the second derivative of -2*p**4/3 + 14*p**3/3 + 30*p**2 + 200*p. Determine f, given that k(f) = 0.
-3/2, 5
Let x(l) be the third derivative of 11*l**2 - 1/84*l**4 + 2/21*l**3 + 0 - 1/70*l**5 + 0*l. Let x(j) = 0. Calculate j.
-1, 2/3
Let r(v) = -4*v - 4*v + 14*v - 14 + v. Let o be r(2). Factor 1/2*a**2 + o + 1/2*a.
a*(a + 1)/2
Let h(i) = -2*i**5 - 5*i**4 - 3*i**3 + 5*i**2. Let g(b) = b**5 + 4*b**4 + 3*b**3 - 4*b**2. Let u(t) = -5*g(t) - 4*h(t). Suppose u(j) = 0. What is j?
-1, 0, 1
Let o be 4/(-7)*(-12)/48. Let -1/7*i**4 + 0 + 1/7*i**2 - 1/7*i + o*i**3 = 0. Calculate i.
-1, 0, 1
Suppose r = 6*r. Let v be ((-4 + r)*1)/(-2). Let 4*p**v - 3*p + 10*p - 3*p - 8 = 0. What is p?
-2, 1
Let n be 76/(-5) + 1/5 - 1. Let i be ((-1 - -3)/n)/(5/(-30)). Determine y, given that 0 - i*y**5 - 3/4*y**4 + 0*y**3 + 0*y**2 + 0*y = 0.
-1, 0
Let s(z) be the third derivative of -z**10/50400 + z**9/10080 + z**8/6720 - z**7/840 - z**5/60 - z**2. Let g(i) be the third derivative of s(i). Factor g(j).
-3*j*(j - 2)*(j - 1)*(j + 1)
Let z(b) = 22*b**3 + b**2 + 2*b. Let a be z(-2). Let i be (-6)/(-15) - a/10. Factor i - x**5 - 18 + 4*x**5.
3*x**5
Let q(j) be the second derivative of j**5/100 - 67*j**4/60 + 77*j**3/2 - 1089*j**2/10 + 541*j. Find o, given that q(o) = 0.
1, 33
Suppose 58*p = 53*p. Let y(w) be the first derivative of w**2 + 2 + 1/3*w**3 + p*w. Determine c, given that y(c) = 0.
-2, 0
Let j(a) = -6*a**2 - 15*a + 19. Let p(y) = y**2 + y - 1. Let z(c) = 2*j(c) + 14*p(c). Let z(v) = 0. What is v?
2, 6
Suppose -64*h + 603 = 3*h + 134*h. Suppose -w - 2*d = -6*d + 18, -d + 5 = 0. Factor w*r**2 + 0*r - 2/3 - 4/3*r**h.
-2*(r - 1)**2*(2*r + 1)/3
Let i = 7 + -3. Let f(l) = -l**3 + 9*l**2 - 18*l - 6. Let u be f(i). Suppose 0 - 1/2*q**3 + 1/2*q**u + 0*q = 0. Calculate q.
0, 1
What is n in -3*n**2 - 3*n**4 - 7 - 5 - 12*n**3 + 6*n**4 + 12*n + 12*n**2 = 0?
-1, 1, 2
Let a(l) be the third derivative of -l**6/420 - l**5/210 + l**4/21 + 4*l**3/21 + 126*l**2. Determine b, given that a(b) = 0.
-2, -1, 2
Let i(d) be the third derivative of d**8/1848 + d**7/231 - 2*d**5/33 - 4*d**4/33 - 390*d**2. Determine x so that i(x) = 0.
-4, -2, -1, 0, 2
Let l(f) = f**5 + 2*f**4 - f**3 - f**2 + 1. Let y(g) = -40*g**5 + 85*g**3 + 15*g**2 - 45*g - 5. Let z(r) = -5*l(r) + y(r). Suppose z(u) = 0. Calculate u.
-1, -2/9, 1
Let x(r) = -11*r**3 + 263*r**2 + 10*r. Let c(k) = 16*k**3 - 394*k**2 - 14*k. Let v(a) = -5*c(a) - 7*x(a). Solve v(n) = 0 for n.
0, 43
Let d(r) be the first derivative of 25*r**4 + 335*r**3/3 - 75*r**2 + 464. What is j in d(j) = 0?
-15/4, 0, 2/5
Suppose n + m - 6 = -3*m, -4*n + 12 = 4*m. Let i be ((-2)/(-10)*9)/((-1)/(-5)). Factor 5*l - i*l - 2*l + 3*l**n.
3*l*(l - 2)
Let o = -263/4 + 66. Let i = 26/15 + -37/30. Factor o*w**3 + 0*w**2 + i - 3/4*w.
(w - 1)**2*(w + 2)/4
Suppose 2*z = 13*z - 55. Let j(g) be the third derivative of 0*g**4 - 1/60*g**z + 0*g + 0 + 1/6*g**3 - 2*g**2. Factor j(x).
-(x - 1)*(x + 1)
Let o(n) = n**2 - 11*n + 5. Let f be o(11). Suppose 3*x = -r + 15, 4*r + 6 = f*x - 2. Find s such that -s**3 - 5*s**4 - s**2 + 4*s**4 + 0*s**x - s**3 = 0.
-1, 0
What is f in -f**3 + 36*f + 11*f**4 - 36*f**2 + 16*f**4 - 3*f**3 - 23*f**4 = 0?
-3, 0, 1, 3
Suppose -44 = -69*l + 65*l. Let z(f) be the first derivative of 3*f**2 + 12/5*f**5 + 39/4*f**4 + 2 + l*f**3 + 0*f. Solve z(d) = 0 for d.
-2, -1, -1/4, 0
Let j(v) be the third derivative of -v**9/181440 + v**8/30240 - v**7/15120 - v**5/5 + 24*v**2. Let d(y) be the third derivative of j(y). What is i in d(i) = 0?
0, 1
Suppose -p = 4*a - 2*p - 12, 5*a + 3*p = 15. Suppose 0 = -3*f + f - a*f. Factor -1/7*x**3 + 0 - 1/7*x**2 + f*x.
-x**2*(x + 1)/7
Let q(f) = -65*f**4 - 95*f**3 + 185*f - 25. Let p(v) = -8*v**4 - 12*v**3 + 23*v - 3. Let n(g) = -25*p(g) + 3*q(g). Determine s so that n(s) = 0.
-2, 0, 1
Suppose -w = -4*c - 51, -3*w + w + 150 = 4*c. Let t(k) = -k**3 + 6*k**2 - 5*k + 3. Let b be t(5). Solve 15*z**2 + w + 6*z - 67 - 21*z**b = 0 for z.
-2/7, 0, 1
Let o(t) be the first derivative of -7*t**4/32 - 5*t**3/12 - 3*t**2/16 - 6. Factor o(j).
-j*(j + 1)*(7*j + 3)/8
Suppose -40 = 3*x - 8*x. Let z be (x/(-6))/(1 + 10/(-3)). Factor 0 + 2/7*t**2 + 2/7*t**3 - z*t.
2*t*(t - 1)*(t + 2)/7
Let c(p) = 4*p**4 - p**3 - 4*p**2 + p. Let z(w) = 2*w**4 - 2*w**2. Let b be (-9)/(9/(-2)) + 3. Let u = 5 + -7. Let r(o) = b*z(o) + u*c(o). Factor r(n).
2*n*(n - 1)*(n + 1)**2
Let v(j) = -3*j - 31. Let f be v(-10). Let n be (f - 3/(-3))*-1. Factor 0 + n*l - 4/7*l**2 - 2/7*l**3.
-2*l**2*(l + 2)/7
Let v be ((-23)/(-2))/((-4)/(-72)*-3). Let b = v + 69. Find h such that b + 8/11*h - 8/11*h**2 