4 - a**3/18 - 7*a**2 - 1. Let f(p) = 0. What is p?
1, 2
Factor -13*o**4 - 3*o**2 + 16*o**4 - 2187*o + 2172*o + 15*o**3.
3*o*(o - 1)*(o + 1)*(o + 5)
Suppose -6*k = 2724 - 2754. Factor 2/5*a**3 + 0*a + 2/5*a**2 + 0 - 2/5*a**k - 2/5*a**4.
-2*a**2*(a - 1)*(a + 1)**2/5
Let v = 284 + -284. Let l(r) be the third derivative of 0 + 0*r**4 - 1/735*r**7 - 1/420*r**6 + 0*r + v*r**3 - 2*r**2 + 1/105*r**5. Factor l(n).
-2*n**2*(n - 1)*(n + 2)/7
Let a(v) = v**2 - 9*v + 2. Let p = -192 - -201. Let n be a(p). Suppose 1/3*w**n + 2/3 + w = 0. Calculate w.
-2, -1
Let u(a) be the third derivative of 2*a**7/105 + 14*a**6/15 - 29*a**5/15 - 336*a**2. Determine b, given that u(b) = 0.
-29, 0, 1
Let s(t) be the first derivative of t**6/180 - t**5/150 + 5*t**3/3 + 10. Let j(q) be the third derivative of s(q). Factor j(y).
2*y*(5*y - 2)/5
Let q be 4/((-7)/((-14)/4))*5. Find v, given that q*v**2 - 2*v**2 - 9*v**2 = 0.
0
Let f be (-4)/66 - ((-8)/12)/2. Let t = f - -5/22. Factor t*q - 1/2*q**2 + 0.
-q*(q - 1)/2
Let f(m) be the second derivative of 0 - 19/15*m**4 - 3/5*m**2 + 4/3*m**3 + 9*m + 3/25*m**6 + 6/25*m**5. Determine z, given that f(z) = 0.
-3, 1/3, 1
Let d = 63 - 36. Factor 2 + d*n**2 - 2*n - 11*n**3 - 11*n - 12*n**3 + 7*n**4.
(n - 1)**3*(7*n - 2)
Factor 30*w**2 + 6*w**2 + 1093 + 2568 - 525 + 565*w + 107*w.
4*(3*w + 28)**2
What is n in -16 + 296/7*n + 10*n**3 - 6/7*n**4 - 236/7*n**2 = 0?
2/3, 2, 7
Let i(m) be the third derivative of -m**8/336 - m**7/70 + m**6/12 - m**5/30 - 3*m**4/8 + 5*m**3/6 + 2*m**2 - 18. Solve i(z) = 0.
-5, -1, 1
Let b(c) be the third derivative of c**5/180 - 5*c**4/72 - 7*c**3/9 + 50*c**2 + 3*c. Factor b(s).
(s - 7)*(s + 2)/3
Let y(m) be the first derivative of -m**4/8 - 5*m**3/2 - 75*m**2/4 - 26*m + 32. Let i(h) be the first derivative of y(h). Find f, given that i(f) = 0.
-5
Let a = -9389 - -9391. Factor -8/3*k + 2/3*k**a + 8/3.
2*(k - 2)**2/3
Let y(x) be the third derivative of x**5/60 - 7*x**4/16 + 5*x**3/6 - 27*x**2. Factor y(v).
(v - 10)*(2*v - 1)/2
Solve 45*m - m**2 - 2*m**2 + 42*m - 66*m = 0.
0, 7
Let u(p) be the second derivative of -p**7/8820 - p**6/1260 + p**5/140 - 11*p**4/6 - 26*p. Let f(k) be the third derivative of u(k). Solve f(v) = 0.
-3, 1
Let z = -32 + 34. Solve 2*w + 4*w**5 + 14*w**3 - 10*w**z - 10*w**4 + 4*w**3 - 4*w**4 = 0.
0, 1/2, 1
Factor 0 + 40/7*k + 12/7*k**2 - 4/7*k**3.
-4*k*(k - 5)*(k + 2)/7
Let u(w) = 9*w - 1. Let j be u(1). Let x = -4 + j. Determine c so that -5*c**4 + 4*c**2 - 3*c - 2*c**5 + 4*c**4 + 5*c - 3*c**x = 0.
-1, 0, 1
Factor -57*q**2 - 2*q + 115*q**2 - 57*q**2.
q*(q - 2)
Factor -45*x - 87/2 - 3/2*x**2.
-3*(x + 1)*(x + 29)/2
Suppose 0 = -3*c - i + 4, -5*c = -c + 4*i. Solve 180*r + r**4 - 2*r**c - 180*r + 1 = 0 for r.
-1, 1
Let j(n) = n**4 + 37*n**3 + 178*n**2 + 334*n + 192. Let w(d) = -36*d**3 - 177*d**2 - 333*d - 192. Let a = 19 + -21. Let m(l) = a*w(l) - 3*j(l). Factor m(b).
-3*(b + 1)*(b + 4)**3
Let c = 1084 + -1082. Let y(i) be the first derivative of -4/3*i**c - 4*i - 3 + 4/9*i**3. Factor y(b).
4*(b - 3)*(b + 1)/3
Let i = -32590/21 - -1552. Let p(s) be the first derivative of -11 + 3/7*s**2 - i*s**3 - 4/7*s. Factor p(w).
-2*(w - 2)*(w - 1)/7
Let m(d) be the second derivative of 0*d**6 + 0*d**4 + 0*d**2 + 0 - 32*d - 5/6*d**3 + 1/2*d**5 - 5/42*d**7. Suppose m(v) = 0. What is v?
-1, 0, 1
Let i(d) be the first derivative of d**5/50 - 3*d**4/40 + d**3/30 + 3*d**2/20 - d/5 - 88. Factor i(q).
(q - 2)*(q - 1)**2*(q + 1)/10
Let i(g) = 0*g - g**2 + 0*g. Let s(r) be the first derivative of -r**4/4 - 3*r**3 - r**2/2 + 61. Let f(h) = 22*i(h) - 2*s(h). Solve f(k) = 0 for k.
0, 1
Let w be 90/270 - (-1)/(-3). Let k(p) be the second derivative of 5/12*p**4 + 0 + w*p**3 + 0*p**2 + 1/4*p**5 - 12*p. What is o in k(o) = 0?
-1, 0
Let v be -3 + 10 + -1 + -226. Let t be 2/8 + (-1025)/v. Factor 54/11*n + t + 18/11*n**2 + 2/11*n**3.
2*(n + 3)**3/11
Let q(f) = f**3 + 4*f**2 + 2*f + 11. Let l be q(-4). Let s(n) be the second derivative of 0 + 8*n - 1/12*n**4 + 0*n**l + 1/2*n**2. Factor s(m).
-(m - 1)*(m + 1)
Let c = -8959/80 + 112. Let l(p) be the third derivative of 5*p**2 + 0*p**3 + c*p**6 - 1/40*p**5 + 1/48*p**4 - 1/420*p**7 + 0 + 0*p. Factor l(h).
-h*(h - 1)**3/2
Let d(q) = -6*q + 63. Let k be d(0). Factor -12*l - k - 2*l**2 + 36 + 35 + 6*l**2.
4*(l - 2)*(l - 1)
Let c(s) = -2*s + 1. Let m be c(-7). Suppose 0 = -5*o + 10*o - m. Factor 0*d**5 - 8*d**4 + 4*d**4 + 8*d**o - 4*d**5.
-4*d**3*(d - 1)*(d + 2)
Factor -24 + 15*y**2 + 9*y**3 - 4*y**3 - 5*y - 33 + 42.
5*(y - 1)*(y + 1)*(y + 3)
Let n(v) be the third derivative of v**6/660 - 3*v**5/55 + 7*v**4/12 - 20*v**3/11 + 20*v**2 - 6*v. Factor n(m).
2*(m - 12)*(m - 5)*(m - 1)/11
Factor -2*i**3 - 44*i**2 - 220 + 180 - 97*i + 15*i.
-2*(i + 1)**2*(i + 20)
Factor 0 - 1/10*m**3 - 1/10*m + 1/5*m**2.
-m*(m - 1)**2/10
Let q(v) = v**4 - v**3 + v**2 - v. Let d(w) = -12*w**4 + 27*w**3 + 21*w. Let y = 6 + 11. Let m = y + -16. Let r(b) = m*d(b) + 15*q(b). Factor r(t).
3*t*(t + 1)**2*(t + 2)
Let r(v) be the second derivative of v**4/20 + 11*v**3/5 + 363*v**2/10 - 349*v. Find z, given that r(z) = 0.
-11
Suppose -3*c + 6*c - 72 = 0. Factor 9*u + 3*u**2 - c*u - 8*u**2.
-5*u*(u + 3)
Factor 198224 + 64*f**2 + 11664*f - 58256 + 260*f**2 + 3*f**3.
3*(f + 36)**3
Let z(c) = -32*c**4 - 13*c**3 + 11*c**2 + 13*c + 7. Let s(f) = 17*f**4 + 6*f**3 - 5*f**2 - 6*f - 4. Let y(i) = 7*s(i) + 4*z(i). Find w such that y(w) = 0.
-10/9, -1, 0, 1
Let p = 15 + -3. Let j be 5 - (78/p - 3). Factor -3/4*x**2 + 0 + j*x**3 - 3/4*x.
3*x*(x - 1)*(2*x + 1)/4
Let c(m) = 8*m**3 - 4*m**2 - 75*m - 20. Let i(r) = r**3 - r**2 + 1. Let y(f) = -c(f) + 5*i(f). Factor y(p).
-(p - 5)*(p + 5)*(3*p + 1)
Let o(u) = -u**2 + 3*u + 20. Let d(k) = 4*k**2 - 10*k - 81. Let s(b) = 2*d(b) + 9*o(b). Find c such that s(c) = 0.
-2, 9
Let v(m) be the second derivative of 2*m**6/21 - 12*m**5/35 - 71*m**4/21 + 20*m**3/7 + 2*m. Let v(y) = 0. What is y?
-3, 0, 2/5, 5
Determine k, given that 1/4*k**5 - 7/4*k**3 + 0*k**4 + 0*k + 3/2*k**2 + 0 = 0.
-3, 0, 1, 2
Suppose -u**2 - 66*u + 49*u + 37*u = 0. What is u?
0, 20
Let g(j) be the third derivative of 0 + 49/320*j**6 + 0*j + 0*j**3 + 1/16*j**4 + 7/40*j**5 - 9*j**2. Let g(l) = 0. Calculate l.
-2/7, 0
Suppose 0 = -r - 3*r + 76. Suppose -r - 5 = -4*o. Factor x**2 + x + o*x - 6*x.
x*(x + 1)
Let q(t) be the first derivative of -5*t**6/6 - 13*t**5 + 75*t**4/2 - 10*t**3/3 - 145*t**2/2 + 75*t - 310. Solve q(d) = 0.
-15, -1, 1
Let l(n) = n**2 + 6*n. Let d be l(-6). Let k(f) be the third derivative of 0 - 5*f**2 + 0*f + 1/240*f**5 + 0*f**3 + d*f**4. Suppose k(h) = 0. What is h?
0
Factor -37*o + 30*o**3 - 40*o**2 + 5*o**4 + 11*o - 4*o + 35.
5*(o - 1)**2*(o + 1)*(o + 7)
Let j(b) be the third derivative of 5*b**8/336 + b**7/21 - b**5/6 - 5*b**4/24 - 6*b**2 + 10*b. Let j(o) = 0. What is o?
-1, 0, 1
Let n(d) = -17*d**3 + 60*d**2 - 105*d + 50. Let x(h) = -14*h**3 + 59*h**2 - 106*h + 51. Let u(m) = 5*n(m) - 6*x(m). Determine p, given that u(p) = 0.
-56, 1
Let u(r) be the first derivative of -5*r**6/6 + 3*r**5 - 20*r**3/3 - 64. What is l in u(l) = 0?
-1, 0, 2
Factor 2/7*h**4 + 6/7*h**3 + 0 + 4/7*h**2 + 0*h.
2*h**2*(h + 1)*(h + 2)/7
Let o(i) be the second derivative of -2/3*i**6 + 0 + 0*i**2 + 2/3*i**4 + 8/21*i**7 + 14*i + 0*i**3 - 7/5*i**5. Suppose o(f) = 0. Calculate f.
-1, 0, 1/4, 2
Let r(h) be the first derivative of -1/30*h**6 - 15 + 4/25*h**5 - 2/5*h + 1/2*h**2 - 2/15*h**3 - 1/5*h**4. Let r(d) = 0. What is d?
-1, 1, 2
Let r(l) be the second derivative of -1/45*l**6 + 18*l + 0*l**2 + 0 + 0*l**3 + 0*l**4 + 0*l**5. Determine d, given that r(d) = 0.
0
Factor -p**4 + 5*p**4 + 2708*p**3 + 12*p**2 - 2692*p**3.
4*p**2*(p + 1)*(p + 3)
Let i(c) = c**2. Let z be i(-2). Let p = 2 + z. Factor 3*v**2 - 4*v**2 - 9 + 0*v - p*v.
-(v + 3)**2
Let h(m) be the first derivative of -m**6/180 + 7*m**5/120 - m**4/4 + 5*m**3/9 - 2*m**2/3 + 40*m - 25. Let x(w) be the first derivative of h(w). Factor x(n).
-(n - 2)**3*(n - 1)/6
Let z = -7 + -5. Let b be (-2)/z + 11/6. Let 10*k**2 - 5*k**b - 2*k**2 - 9*k + 6 = 0. Calculate k.
1, 2
Let m(x) = -6*x**2 - 75*x + 39. Let f = 5 - 26. Let c(b) = b**2 + 15*b - 8. Let i be (3 - 13)*(-16)/(-40). Let u(z) = f*c(z) + i*m(z). Solve u(n) = 0.
1, 4
Let i = 245 - 3667/15. Let m = 3864 - 57958/15. Factor -8/15 - m*v*