0. Calculate t.
0, 2, 3
Let o(u) = -u - 24. Let c be o(-21). Let x be 2/5 + c + 151/35. Find k, given that x*k**2 + 4/7*k**4 - 4/7 - 2*k**3 + 2/7*k = 0.
-1/2, 1, 2
Let k(j) be the first derivative of 1/27*j**3 + 1/18*j**2 - 4 + 0*j. Find p such that k(p) = 0.
-1, 0
Let j = -19117/1015150 + -1/6425. Let c = j - -1273/474. Determine t so that 0 - 2/3*t**2 + c*t = 0.
0, 4
Factor 16/17*y**2 + 32/17 - 40/17*y - 2/17*y**3.
-2*(y - 4)*(y - 2)**2/17
Let q(u) = u**3 + u**2 + 1. Let g(r) = -25*r**5 + 15*r**4 + 32*r**3 - 18*r**2 - 10*r - 3. Let w(d) = g(d) + 3*q(d). Determine x so that w(x) = 0.
-1, -2/5, 0, 1
Let n(g) be the first derivative of g**5/90 - 2*g**4/9 + 4*g**3/3 - g**2 + 22*g + 2. Let f(x) be the second derivative of n(x). Factor f(q).
2*(q - 6)*(q - 2)/3
Let c(n) be the third derivative of -n**7/70 + 37*n**6/40 - 18*n**5 + 81*n**4/2 - 2*n**2 - 120. Find k, given that c(k) = 0.
0, 1, 18
Let y = 46 - 19. Suppose -y = -4*n + 4*c - 11, 20 = 5*n + c. Suppose z**4 + 9 - n*z**4 - 9 = 0. Calculate z.
0
Let z(o) be the third derivative of 5*o**8/336 + o**7/3 - 31*o**6/24 + 4*o**5/3 - 155*o**2. Find y, given that z(y) = 0.
-16, 0, 1
Let v(i) be the first derivative of -3*i**4 + 2/5*i**5 + 0*i**3 + 0*i + 0*i**2 - 30. Factor v(d).
2*d**3*(d - 6)
Let l(r) be the third derivative of r**5/12 + 191*r**2. Factor l(q).
5*q**2
Let b(x) be the first derivative of -15/2*x**2 + 5/4*x**4 - 10/3*x**3 + 42 + 0*x. Find f such that b(f) = 0.
-1, 0, 3
Let i(u) be the third derivative of -u**7/42 + u**6/6 - u**5/4 - 5*u**4/6 + 10*u**3/3 - 44*u**2 - 2*u. Find d, given that i(d) = 0.
-1, 1, 2
Suppose 0 = -4*o - 4, 0 = 5*r + 5*o - 76 - 24. Suppose -13*x**2 + 31*x**2 + 36*x - r*x**2 = 0. What is x?
0, 12
Let s = -2562 - -2568. Determine n, given that -45/2*n**2 - 69/4*n**3 - 15/4*n**4 + s - 3*n = 0.
-2, -1, 2/5
Let t(a) be the second derivative of 2*a**5 - 23*a**4/3 + 77*a**3/12 - 9*a**2/4 - 524*a. Factor t(v).
(4*v - 1)**2*(5*v - 9)/2
Let y(h) = h**2 + 4*h - 8. Let c be y(-6). Let t = 8 - c. Solve 11*p**2 + 12*p + 2*p**2 + 0*p**3 + 6*p**3 + p**4 + t = 0 for p.
-2, -1
Let c(i) = 2*i**2 + i. Let j(b) = 147*b**3 - 1831*b**2 - 1082*b - 156. Let n(w) = 2*c(w) + j(w). Suppose n(s) = 0. What is s?
-2/7, 13
Let x(u) be the first derivative of -11/5*u**2 + 0*u - 2/15*u**3 + 18. Determine s so that x(s) = 0.
-11, 0
Let a(o) be the second derivative of 0 - 9*o + 1/18*o**4 + 1/12*o**2 + 5/36*o**3. Factor a(d).
(d + 1)*(4*d + 1)/6
Let r(b) be the second derivative of -7*b**6/6 - 3*b**5 + 95*b**4 + 1520*b**3/3 - 480*b**2 - 10*b + 2. Solve r(h) = 0 for h.
-4, 2/7, 6
Let u(h) be the second derivative of h**7/630 - h**6/90 + h**5/30 - h**4/3 - 6*h. Let f(n) be the third derivative of u(n). Find y such that f(y) = 0.
1
Let n(r) = -2*r**3 + 77*r**2 - 15*r - 43. Let y(w) = w**3 - 26*w**2 + 5*w + 14. Let b(i) = -6*n(i) - 17*y(i). Suppose b(p) = 0. What is p?
-4, -1, 1
Let v(w) be the third derivative of w**6/180 + 7*w**5/135 + 2*w**4/27 + 124*w**2. Factor v(g).
2*g*(g + 4)*(3*g + 2)/9
Let f(y) be the second derivative of 3*y**6/50 + 7*y**5/100 - y**4/30 + 49*y. Factor f(n).
n**2*(n + 1)*(9*n - 2)/5
Let h = -73 + 78. Solve 20*l**3 + 34*l**2 + h*l**4 - 2 + 10*l - 9*l**2 + 2 = 0 for l.
-2, -1, 0
Let x(s) = 190*s**4 - 550*s**3 + 360*s**2 + 180*s + 55. Let o(f) = -21*f**4 + 61*f**3 - 40*f**2 - 20*f - 6. Let u(y) = -55*o(y) - 6*x(y). Solve u(d) = 0.
-1/3, 0, 2
Let o(v) be the third derivative of v**5/270 - 5*v**4/36 + 14*v**3/27 + 27*v**2 + 5. Let o(z) = 0. What is z?
1, 14
Let c(a) = 3*a**2 - 4*a + 2. Suppose 2*l = -2*l + 8. Let b be c(l). Factor 0*x - x + 0*x**5 + 4*x + 6*x**4 - b*x**2 - 3*x**5.
-3*x*(x - 1)**3*(x + 1)
Let a(g) be the second derivative of -g**7/42 + 2*g**6/3 - 77*g**5/20 - 121*g**4/6 + g - 35. Factor a(o).
-o**2*(o - 11)**2*(o + 2)
Let n = -286/9 + 2146/63. Find k such that 10/7*k**3 + n*k**2 + 0 + 2/7*k**4 + 8/7*k = 0.
-2, -1, 0
Suppose c - 3*p = -4*c + 4, -3*c = 5*p - 16. Let l be c/9 + (-2)/9. Find g such that l*g + 1/5*g**3 + 1/5*g**2 + 0 = 0.
-1, 0
Let j = -5280 + 1145758/217. Let r = j + 874/651. Determine g, given that -1/3*g**4 + 2/3*g**3 + g**2 - 4/3 - r*g = 0.
-1, 2
Let l be (-180)/480 + (-507)/(-72). Factor l*o + 20/3 + 5/3*o**2.
5*(o + 2)**2/3
Let n(q) be the third derivative of -q**6/300 - q**5/60 - q**4/30 - q**3/30 + 103*q**2. Factor n(w).
-(w + 1)**2*(2*w + 1)/5
Let n(z) be the third derivative of z**9/3780 - z**8/840 - z**7/630 + z**6/90 + 5*z**4/8 - 8*z**2. Let j(v) be the second derivative of n(v). Factor j(m).
4*m*(m - 2)*(m - 1)*(m + 1)
Let b = -35/832 - -130733/12480. Let m = 65/6 - b. Solve 0 + 8/5*z**2 + 2/5*z + 8/5*z**4 + 12/5*z**3 + m*z**5 = 0.
-1, 0
Let o = 45110/3 - 15036. Factor -o*l**3 - 1/3*l**4 + 0 + 1/3*l**2 + 2/3*l.
-l*(l - 1)*(l + 1)*(l + 2)/3
Let r(s) be the second derivative of -1/16*s**4 + 0 - s**3 + 0*s**2 - 7*s. Factor r(p).
-3*p*(p + 8)/4
Let x = -21/92 - -1/4. Let d = 58/23 - x. Find l, given that -3/2 - d*l**3 - 37/6*l**2 - 1/3*l**4 - 11/2*l = 0.
-3, -1, -1/2
Determine y, given that -4/3*y - 16/3 + 2/3*y**2 = 0.
-2, 4
Let p(l) be the second derivative of 4*l**3/3 + 49*l**2 + 7*l + 1. Let z be p(-12). Factor 2/3*u**3 - 4/3 - 8/3*u**z + 10/3*u.
2*(u - 2)*(u - 1)**2/3
Let v(h) = -83*h - 1741. Let n be v(-21). Solve 15/4*s + 0 - 1/4*s**n = 0.
0, 15
Let o(j) be the third derivative of -j**10/136080 - j**9/22680 - j**8/15120 - j**4/3 - 12*j**2. Let b(d) be the second derivative of o(d). Factor b(l).
-2*l**3*(l + 1)*(l + 2)/9
Let a = -2330 - -2333. Factor 2/7*d**a + 4/7*d**2 + 0 + 2/7*d.
2*d*(d + 1)**2/7
Let v = 6275/3 - 2091. Solve 0*c**3 + v*c**2 - 1/3*c**4 + 0*c - 1/3 = 0.
-1, 1
Let c be (-5 + 3)*(-24)/192. Factor -c*p - 1/4*p**3 + 0 + 1/2*p**2.
-p*(p - 1)**2/4
Let x = -4589 - -4589. Factor -3/7*z**2 + x*z + 3/7.
-3*(z - 1)*(z + 1)/7
Let v = 1678 + -1678. Let 0*p + 0*p**3 + v - 1/7*p**2 + 1/7*p**4 = 0. Calculate p.
-1, 0, 1
Let v(q) be the first derivative of 2*q**5/15 - 13*q**4/3 - 58*q**3/9 + 18*q**2 - 146. Factor v(r).
2*r*(r - 27)*(r - 1)*(r + 2)/3
Find v, given that -8/3*v + 2/3*v**2 + 8/3 = 0.
2
Let w(s) be the first derivative of s**3 + 3*s**2 - 45*s - 565. Factor w(z).
3*(z - 3)*(z + 5)
Let a be (18/4 - 2)*24/10. Suppose 18 = a*d + 3*d. Find v such that -1/2*v - 1/2*v**d + 1/2*v**3 + 1/2 = 0.
-1, 1
Let a(i) be the second derivative of 9*i**5/70 - 19*i**4/6 - 58*i**3/7 - 32*i**2/7 + 55*i - 3. Factor a(s).
2*(s - 16)*(s + 1)*(9*s + 2)/7
Let d(m) be the first derivative of -1/4*m**4 + 0*m + m**2 + 7 - 1/3*m**3. Let d(f) = 0. Calculate f.
-2, 0, 1
Suppose 18*i**3 - 46*i**2 - 2*i**2 + 117*i**4 - 119*i**4 + 32*i = 0. Calculate i.
0, 1, 4
Find f such that 21/2 - 73/4*f**3 + 73/4*f - 37/4*f**2 - 5/4*f**4 = 0.
-14, -1, -3/5, 1
Let p = 68226/17 + -4008. What is h in -8/17 + 64/17*h + p*h**3 - 162/17*h**2 + 162/17*h**4 - 162/17*h**5 = 0?
-1, 1/3, 2/3
Let a(x) = -5*x**4 + 15*x**3 + 20*x**2 - 10. Let k = -3 - -2. Let v(y) = 1. Let r(s) = k*a(s) - 10*v(s). Solve r(m) = 0.
-1, 0, 4
Let c(g) = 30*g - 10*g - 19*g. Let l(o) = -5*o**2 - 6*o + 20. Let j(f) = -6*c(f) - l(f). Factor j(a).
5*(a - 2)*(a + 2)
Factor -7*t**4 - 1090*t**2 + 11*t**3 + 0 + 1085*t**2 + t**5 + 0.
t**2*(t - 5)*(t - 1)**2
Suppose 5*v + 21 = 3*q - 16, 0 = -5*q - 2*v + 10. Let w(y) be the first derivative of 3/4*y**4 - q - 2/3*y**2 + 7/15*y**5 - 4/3*y**3 + 0*y. Factor w(d).
d*(d - 1)*(d + 2)*(7*d + 2)/3
Let t(s) = -10*s**3 - 12*s**2 + 30*s - 20. Let b(f) = -4*f**3 - 5*f**2 + 12*f - 8. Let h be (2/4)/(-1 - 69/(-72)). Let c(l) = h*b(l) + 5*t(l). Factor c(q).
-2*(q - 1)**2*(q + 2)
Let w(r) be the second derivative of -3*r + 83/5*r**6 - 512*r**3 + 0*r**2 + 0 + 800*r**4 + 1/2*r**7 + 972/5*r**5. Factor w(j).
3*j*(j + 8)**3*(7*j - 2)
Let u = 98 - 66. Solve 67*a + u - 133*a + 600*a**2 - 174*a - 500*a**3 = 0.
2/5
Let y(o) be the third derivative of 0 + 1/1080*o**6 + 0*o + 2/9*o**4 + 2/3*o**3 - 6*o**2 + 1/45*o**5. Let j(a) be the first derivative of y(a). Factor j(r).
(r + 4)**2/3
Let v(k) = -2*k + 6. Let a be v(2). What is t in 149*t - 46*t**3 + 11*t**3 - 169*t + 43*t**a + 12*t**2 = 0?
0, 4/7, 1
Let w(n) be the third derivative of 11*n**5/42 - n**4/28 - 10*n**3/21 + 2*n**2 + 6*n. Find a such that w(a) = 0.
-2/5, 5/11
Let o(f) = f**3 - 12*f**2 + 35*f - 21. Let x be o(8). Let q(r) be the thi