ctor -4*d**2 - 1/6*d**j - 4/3*d**3 - 8/3 - 16/3*d.
-(d + 2)**4/6
Suppose -3*a = -2*y - 14, -2*a + 9 = -3*y + 2*y. Let h(u) = -12*u**2 - 8*u + 4. Let d(s) = -13*s**2 - 9*s + 5. Let o(i) = a*d(i) - 5*h(i). Solve o(l) = 0.
-1/2, 0
Let u(f) be the first derivative of f**5/20 - 7*f**4/8 + 113. Find h, given that u(h) = 0.
0, 14
Determine m, given that 1602*m**2 - 459*m + 1085*m**4 - 1677*m**3 + 84 - 350*m**4 - 69*m**2 - 75*m**5 - 141*m = 0.
2/5, 1, 7
Factor 37*p**2 + 54*p + 58*p**2 + 5*p**3 - 154*p.
5*p*(p - 1)*(p + 20)
Let b be (73 + -72)/((-2)/(-6)). Find d, given that 6/19*d**b - 2/19*d**2 - 6/19*d - 2/19*d**4 + 4/19 = 0.
-1, 1, 2
Find k, given that 11/3*k - 1/3*k**5 - 4*k**4 + 0 - 10/3*k**3 + 4*k**2 = 0.
-11, -1, 0, 1
Let p(y) be the third derivative of y**6/40 + 2*y**5/5 - 5*y**4/2 - 110*y**2. Solve p(c) = 0.
-10, 0, 2
Let s be (-22 + 6289/285)*12. Factor 0*n + 1/5*n**4 + 0 + s*n**3 - n**2.
n**2*(n - 1)*(n + 5)/5
Let o(n) be the first derivative of -n**6/4 - 3*n**5/10 + 3*n**4/8 + n**3/2 - 78. Let o(w) = 0. Calculate w.
-1, 0, 1
Let b(g) be the second derivative of -4*g**7/147 - 4*g**6/105 + 71*g**5/70 - 5*g**4/21 - 52*g**3/3 + 56*g**2 + 7*g + 2. Factor b(o).
-2*(o - 2)**3*(2*o + 7)**2/7
Let k(l) = -l**2 + 8*l - 5. Let f be k(7). Determine b so that 2*b**3 + 3*b + 10*b**f - 4 - 5*b + 6*b**4 - 12*b**4 = 0.
-1, -2/3, 1
Let w(j) = -j**2 - 2*j**2 + 15*j + 0 + 6*j**2 - 6. Let t(a) = a. Let v(s) = 12*t(s) - w(s). Factor v(x).
-3*(x - 1)*(x + 2)
Find p, given that 4/3*p - 1/3*p**3 + 0 + p**2 = 0.
-1, 0, 4
Let j be (-4)/6 + (-4280)/(-12). Factor -357 - f**4 - f + 2*f**2 + f**2 + 2*f**3 + j - f**2 - f**5.
-(f - 1)**2*(f + 1)**3
Suppose -29*o = -27 - 89. Let k(c) be the third derivative of -2/9*c**3 + 0*c - 1/180*c**5 + 0 - 5*c**2 - 1/18*c**o. Factor k(j).
-(j + 2)**2/3
Let z(n) be the second derivative of -1/6*n**4 - 1/3*n**3 + 7*n + 0 + 0*n**2. Determine r, given that z(r) = 0.
-1, 0
Let i be 3554/(-20) - (-40)/200. Let m = i + 180. Find g such that 0 - m*g**3 - 1/2*g + 9/4*g**2 = 0.
0, 2/5, 1/2
Let n(k) be the first derivative of k**4/4 + 11*k**3/3 - 57*k**2/2 + 45*k - 51. Factor n(o).
(o - 3)*(o - 1)*(o + 15)
Let k = 48128 - 442198/9. Let t = -1004 - k. Suppose 4 - 38/3*v - t*v**3 + 64/9*v**2 = 0. What is v?
2/5, 3
Factor 150 + 3/2*i**2 - 226*i.
(i - 150)*(3*i - 2)/2
Let z(x) be the second derivative of x**5/40 - 13*x**4/96 + 7*x**3/24 - 5*x**2/16 + 632*x. What is w in z(w) = 0?
1, 5/4
Let j = 7663/2 - 3829. Factor 1 + j*u + 3/2*u**2.
(u + 1)*(3*u + 2)/2
Let r be -3*(-2)/(-1)*194/(-388). Factor 0*k + 0 + 2/3*k**2 - 2/3*k**r.
-2*k**2*(k - 1)/3
Let r(w) be the third derivative of w**8/4320 - 23*w**7/11340 + w**6/540 + 17*w**4/24 - 17*w**2. Let c(v) be the second derivative of r(v). Factor c(d).
2*d*(d - 3)*(7*d - 2)/9
Let a(m) be the second derivative of 0*m**2 + 5/14*m**7 + 33/100*m**5 + 7/10*m**6 + 1/20*m**4 + 0 + 0*m**3 - 13*m. Factor a(c).
3*c**2*(c + 1)*(5*c + 1)**2/5
Let q(j) be the second derivative of -j**6/15 - 3*j**5/5 + 59*j**4/24 - 13*j**3/4 + 2*j**2 - j - 33. Let q(y) = 0. What is y?
-8, 1/2, 1
Suppose 0*t + 5*t + 8*t = 0. Factor t + 1/2*z**4 + 3/2*z**3 + z**2 + 0*z.
z**2*(z + 1)*(z + 2)/2
Determine m, given that 0 - 1/2*m**3 + 0*m**2 + 1/2*m = 0.
-1, 0, 1
Let l be (-8)/2*55/(-44). Suppose -3*k = -4*w - 15, 2*w - l = -2*k + 5. Factor -3/5*q**2 + w + 3/5*q.
-3*q*(q - 1)/5
Let k be (-3)/(-1) - -2 - 1. Let j(v) be the third derivative of 0*v + 0*v**3 - 1/60*v**5 + 0 + 3*v**2 - 1/90*v**7 - 1/36*v**k + 1/30*v**6. Solve j(h) = 0.
-2/7, 0, 1
Let t(j) = j**2 - 3*j + 10. Let c(v) = 12 + 17*v + 2*v**2 - 1 - 20*v. Let u(p) = -4*c(p) + 5*t(p). Factor u(y).
-3*(y - 1)*(y + 2)
Let r(o) = 3*o**3. Let m(v) = -4*v**3 - 2*v**2 + 2*v. Let z(t) = 2*m(t) + 3*r(t). Find u, given that z(u) = 0.
0, 2
Let f = 40317/13 - 3101. Factor -f*s**2 + 2/13 + 0*s + 0*s**3 + 2/13*s**4.
2*(s - 1)**2*(s + 1)**2/13
Let c be (-1*(-8)/(-20))/(2/(-10)). Determine d so that 15*d**2 + 14*d**c + 4*d - 25*d**2 = 0.
-1, 0
Let s(n) = -n**3 + n**2 - n - 1. Let d = -3 - -8. Let a(q) = d*q**3 + 4*q**3 - 3 + 9*q - 2*q**3 - 3*q**2 + 2*q**2. Let z(p) = a(p) + 6*s(p). Factor z(k).
(k - 1)*(k + 3)**2
Let v(n) be the second derivative of -n**5/140 - 3*n**4/56 - n**3/7 - 7*n**2/2 - 15*n. Let b(o) be the first derivative of v(o). Factor b(j).
-3*(j + 1)*(j + 2)/7
Let a = 131 - 129. Find d, given that 4*d**2 + 3*d**a - 845 - 130*d - 12*d**2 = 0.
-13
Let i(j) be the third derivative of 7*j**7/75 - 448*j**6/75 + 8444*j**5/75 - 768*j**4/5 + 432*j**3/5 - 50*j**2 + 1. Let i(h) = 0. Calculate h.
2/7, 18
Let p(f) = -4*f + 15. Let t be p(3). Let x(q) be the first derivative of 1 + 1/12*q**6 + 1/3*q**t + 0*q + 0*q**4 - 1/4*q**2 - 1/5*q**5. Let x(g) = 0. What is g?
-1, 0, 1
Let v(b) = 6*b - 3. Let f be v(3). Let i = -11 + f. Let 2*n + 3*n**2 - 3*n + i*n = 0. What is n?
-1, 0
Suppose 0 = -3*k + 2*b + 7, -10 = -3*k - k + 2*b. What is i in -1/2*i - i**2 - 1/2*i**k + 0 = 0?
-1, 0
Let l be (-162)/216*24/(-9). Let -2/11*k**l + 6/11*k + 0 = 0. Calculate k.
0, 3
Let v(j) = -j**2 + 226*j + 512. Let r(m) = -75*m - 171. Let d(y) = -8*r(y) - 3*v(y). Factor d(x).
3*(x - 28)*(x + 2)
Let o(k) be the first derivative of -2*k**6/3 - 20*k**5/3 + 18*k**4 + 16*k**3 - 80*k**2/3 - 116. Find t such that o(t) = 0.
-10, -1, 0, 2/3, 2
Let o(h) be the first derivative of -1/5*h**4 + 0*h**2 - 2/15*h**3 - 2 + 0*h - 2/25*h**5. Suppose o(w) = 0. Calculate w.
-1, 0
Let h(f) be the first derivative of f**5/240 + f**4/48 + f**3/24 + 17*f**2/2 - 7. Let q(u) be the second derivative of h(u). Let q(t) = 0. Calculate t.
-1
Suppose 0 = j - 2*u - 12, j + 3*u + 17 = 2*j. Factor 7*z**5 - 2*z**3 + 6*z**j - 4*z**5 + 17*z**3 + 12*z**4.
3*z**2*(z + 1)**2*(z + 2)
Let g = 8 + -5. Suppose -i - g + 9 = 0. Determine a, given that -7*a**2 + 3*a**4 + 10*a**2 - 3*a**3 - i*a**2 + 3*a = 0.
-1, 0, 1
Let k(d) = d. Let n(o) = 26 - 12 - 14 - 5*o - o**2. Let z(v) = 14*k(v) + 2*n(v). Let z(r) = 0. What is r?
0, 2
Let f(x) be the second derivative of x**7/21 + 37*x**6/15 + 197*x**5/5 + 485*x**4/3 + 901*x**3/3 + 289*x**2 - 7*x - 7. Factor f(b).
2*(b + 1)**3*(b + 17)**2
Factor -66/13*w**2 - 12/13 + 202/13*w.
-2*(w - 3)*(33*w - 2)/13
Let p(c) = 19*c**2 + 24*c. Let a(h) = -18*h + 7*h - 5*h**2 + 5*h. Let b(f) = -22*a(f) - 6*p(f). What is i in b(i) = 0?
-3, 0
Let u(p) be the second derivative of -2*p**5/15 + 3*p**4/2 - 11*p**3/3 - 10*p**2/3 - 82*p. Suppose u(m) = 0. Calculate m.
-1/4, 2, 5
Let n = -98 - -49. Let r = -49 - n. Factor 0*w - 4/7*w**4 + 0*w**2 - 2/7*w**3 - 2/7*w**5 + r.
-2*w**3*(w + 1)**2/7
Let x(q) be the third derivative of 0 + 0*q + 0*q**3 - 1/4*q**5 + 1/12*q**6 + 21*q**2 + 5/24*q**4. Factor x(k).
5*k*(k - 1)*(2*k - 1)
Let l be -4 + 4/1 - 4*1. Let m(w) = -7*w**3 - 9*w**2 - 13*w - 7. Let v(c) = 20*c**3 + 27*c**2 + 38*c + 20. Let y(h) = l*v(h) - 11*m(h). Let y(a) = 0. What is a?
-1
Suppose -23 + 23 = 7*l - 35. Factor -4/13*m**3 + 2/13*m**l + 2/13 - 4/13*m**2 + 2/13*m**4 + 2/13*m.
2*(m - 1)**2*(m + 1)**3/13
Find u, given that 10*u**2 + 7*u**5 - 13*u**2 + 3*u**3 + 26*u**4 + 2*u**2 + 24*u**3 + 5*u**2 - 4*u = 0.
-2, -1, 0, 2/7
Let t(f) = 14*f**3 + 36*f**2 - 44*f - 11. Let k(z) = 21*z**3 + 53*z**2 - 66*z - 16. Let h(g) = -5*k(g) + 8*t(g). Suppose h(q) = 0. Calculate q.
-4, -2/7, 1
Let c(u) = 8*u**4 - 12*u**2 - 4*u + 8. Let w(y) = 19*y + 50*y**2 - 25*y**2 - 17*y**4 - 10*y - 17. Let p(z) = 9*c(z) + 4*w(z). Factor p(b).
4*(b - 1)**2*(b + 1)**2
Suppose 2*p - 3 = 3. Find u, given that 12 + u - 1 - 8 + 5*u + p*u**2 = 0.
-1
Let g(b) = -41*b**4 + 324*b**3 - 714*b**2 + 484*b - 41. Let o(u) = -u**4 - u**3 + u**2 - u - 1. Let k(w) = g(w) + 4*o(w). What is v in k(v) = 0?
1/9, 1, 3
Let c(s) be the first derivative of s**2 + 8/3*s + 1/9*s**3 + 20. Suppose c(u) = 0. What is u?
-4, -2
Let b(p) be the second derivative of p**6/720 + p**5/15 + 4*p**4/3 + 9*p**3/2 - 20*p. Let q(j) be the second derivative of b(j). Let q(d) = 0. Calculate d.
-8
Let s(h) be the first derivative of 0*h + 1/6*h**2 - 7/18*h**3 + 13 - 1/6*h**4. Let s(o) = 0. What is o?
-2, 0, 1/4
Let s(m) be the first derivative of m**6/14 - 9*m**5/35 + 9*m**4/28 - m**3/7 + 50. Factor s(w).
3*w**2*(w - 1)**3/7
Factor -2/3*z**2 + 0 + 4*z.
-2*z*(z - 6)/3
Let h(u) be the second derivative of u**8/36960 + u**7/2772 + u**6/4