rivative of o**6/135 + 7*o**5/30 + 19*o**4/54 - 7*o**3/9 - 20*o**2/9 - 697*o. Determine t so that a(t) = 0.
-20, -1, 1
Let n be -4 - (-2 - 0 - 5). Factor -4*c**2 - 8 - 1 + 0*c**3 - c**3 - n*c + 9*c**2.
-(c - 3)**2*(c + 1)
Let d be (-3)/(-6)*4*-1 + -48. Let w be ((-5)/d)/(8/20). Factor 0 - w*m + m**2.
m*(4*m - 1)/4
Find g such that 3/7*g**2 + 66/7*g - 69/7 = 0.
-23, 1
Let y(p) be the first derivative of -1/15*p**5 - 7 - 1/3*p**2 - 5/9*p**3 - 1/3*p**4 + 0*p. Factor y(l).
-l*(l + 1)**2*(l + 2)/3
Let h = 34 - 25. Suppose 3*a - 24 = -h*a. Suppose -2/3*d**4 - 2/3*d + 4/3*d**3 - 2/3*d**5 + 4/3*d**a - 2/3 = 0. Calculate d.
-1, 1
Determine u, given that 0 + 0*u - 9/8*u**3 - 3/8*u**4 + 3/2*u**2 = 0.
-4, 0, 1
Let g be (-1 - 15/(-10))*0. Let s(m) be the second derivative of m + 0 + 1/6*m**3 + 1/36*m**4 + g*m**2. Let s(b) = 0. Calculate b.
-3, 0
Suppose 10*a = 23*a - 26. Let l(h) be the second derivative of -3/5*h**5 + 0 + 3/2*h**2 + 3/2*h**4 + 7*h + 1/10*h**6 - a*h**3. Factor l(m).
3*(m - 1)**4
Let s be ((-34)/5*-1)/(-2). Let f = s + 39/10. Factor -1/4*o**4 - f*o + 0*o**2 + 1/4 + 1/2*o**3.
-(o - 1)**3*(o + 1)/4
Suppose a + 5*r = 7*r - 2, -5*a = r - 23. Let c(i) be the second derivative of 0 - 1/6*i**2 - 2*i + 1/9*i**3 - 1/36*i**a. Factor c(t).
-(t - 1)**2/3
Let u be (-4 + 4)/(1 - 6 - -3). Solve u - 22/9*m**3 - 14/9*m**4 + 8/3*m**5 + 14/9*m**2 - 2/9*m = 0.
-1, 0, 1/4, 1/3, 1
Let s(q) = -11*q**2 + 53*q + 14. Let m(r) = 5*r**2 - 27*r - 6. Let i(j) = -14*m(j) - 6*s(j). Let i(u) = 0. What is u?
0, 15
Let k(h) be the third derivative of h**6/24 - 3*h**5/4 - 25*h**4/12 - 78*h**2. Solve k(g) = 0 for g.
-1, 0, 10
Let o(p) be the third derivative of -p**7/420 + p**6/30 + 19*p**5/40 + 25*p**4/12 + 13*p**3/3 - 512*p**2. Factor o(w).
-(w - 13)*(w + 1)*(w + 2)**2/2
Let d = 2440 - 2437. Find g, given that 0 + 4/21*g**2 - 2/21*g**4 - 2/21*g**d + 0*g = 0.
-2, 0, 1
Let v(d) be the first derivative of -3*d**5/2 + 19*d**4/4 - 11*d**3/2 + 3*d**2 + 9*d + 8. Let f(o) be the first derivative of v(o). Let f(s) = 0. What is s?
2/5, 1/2, 1
Let o(c) be the first derivative of c**6/40 + c**5/2 + 4*c**4 + 16*c**3 + 11*c**2/2 + 8. Let w(d) be the second derivative of o(d). Let w(n) = 0. Calculate n.
-4, -2
Let d = -2/397 + 804/1985. Let o(b) be the first derivative of -1/5*b**4 + 4/5*b**3 - 4/25*b**5 + d*b**2 + 8 - 8/5*b. Determine p so that o(p) = 0.
-2, -1, 1
Suppose 259*h = 275*h. Solve h + 3/2*l**3 - 9/2*l**2 + 3*l = 0.
0, 1, 2
Solve -4*f**5 - 139*f + 24*f**5 - 366*f - 55*f**3 - 650*f**2 - 119 + 220*f**4 + 9 = 0 for f.
-11, -1, -1/2, 2
Suppose -4*u = 4*s - u - 71, 2*s - 13 = 3*u. Let m be s/(-140)*35/(-2). Determine w, given that -5/4*w**2 + m*w**3 - 1/2*w + 0 = 0.
-2/7, 0, 1
Let p = 56 + -146. Let k be (-250)/p + (-4)/(-18). Let -4*b - b**2 + 0*b + 3*b + k*b = 0. Calculate b.
0, 2
Let 2*v**3 - 16 - 29 + 75*v + 3*v**3 - 35*v**2 = 0. What is v?
1, 3
Let i = 15 + -59/4. Let m = -8361/2 - -4181. Suppose -i*k**2 - 1/4*k + m = 0. What is k?
-2, 1
Let d(y) = -6*y**4 - 45*y**3 - 171*y**2 + 21. Let u(p) = p**4 + 9*p**3 + 34*p**2 - 4. Let a(r) = -4*d(r) - 21*u(r). Factor a(g).
3*g**2*(g - 5)*(g + 2)
Factor 369 - 939 + 44*t + 474 - 4*t**2.
-4*(t - 8)*(t - 3)
Suppose -1 = -4*t + 7. Suppose -2*v = -t*c + 8, 3*c + 3 = 4*v + 15. Factor -m**3 - 3*m**5 + c*m**5 + 14*m**4 + 0*m**3 + m**2 - 15*m**4.
m**2*(m - 1)**2*(m + 1)
Let p(t) be the third derivative of -t**5/30 - 25*t**4/12 - 8*t**3 + 205*t**2. Let p(y) = 0. What is y?
-24, -1
Let k be 2*(-4 + 357/85). What is c in 2/5*c + 2/5 + 2/5*c**4 - 4/5*c**3 + k*c**5 - 4/5*c**2 = 0?
-1, 1
Let p(q) be the first derivative of -33/5*q**5 + 2*q**6 - 15/2*q**2 - 29*q**3 + 0*q - 117/4*q**4 + 22. Solve p(m) = 0 for m.
-1, -1/4, 0, 5
Let c(s) be the second derivative of 10/21*s**4 + 100/21*s**3 + 1/70*s**5 - 17*s + 0*s**2 + 0. Factor c(u).
2*u*(u + 10)**2/7
Let i(d) be the first derivative of 3*d**4/4 - 26*d**3 + 210*d**2 + 1176*d - 658. Factor i(o).
3*(o - 14)**2*(o + 2)
Let h(o) be the first derivative of 0*o**2 - 1/140*o**5 + 8 + 0*o**4 + 1/42*o**3 - 5*o. Let z(p) be the first derivative of h(p). Find y such that z(y) = 0.
-1, 0, 1
Let y(s) be the second derivative of 15*s + 0 - 1/70*s**6 + 0*s**2 + 3/35*s**5 - 5/28*s**4 + 1/7*s**3. Factor y(r).
-3*r*(r - 2)*(r - 1)**2/7
Let b(r) = r**2 + r + 2. Let j be b(0). Suppose -m - 10 = -2*h, 44*m + 3*h = 41*m + 15. Factor 0*g + m - 2/3*g**j.
-2*g**2/3
Let k = -875024 + 55130258/63. Let f = 424/7 - k. Solve 8/9*j**2 - 2/9*j**3 - f*j + 4/9 = 0 for j.
1, 2
Let g(l) = -2*l**2 - 12*l - 24. Let y(s) = 6*s**2 - 3*s + 71 + 13*s - 6*s + 32*s. Let i(a) = 17*g(a) + 6*y(a). Factor i(j).
2*(j + 3)**2
Let q = 3676 + -3676. Determine c, given that 5/2*c**2 + 1/2*c**3 + q*c + 0 = 0.
-5, 0
Let i(b) be the first derivative of -b**4/14 - 6*b**3/7 + b**2/7 + 18*b/7 - 130. Determine q so that i(q) = 0.
-9, -1, 1
Let p(v) be the second derivative of -v**5/160 - 5*v**4/48 - 57*v. Factor p(u).
-u**2*(u + 10)/8
Let o(j) = -15*j**3 + 100*j**2 - 5*j - 110. Let g(f) = -2*f**3 - f**2. Let d(c) = 10*g(c) - o(c). Factor d(b).
-5*(b - 1)*(b + 1)*(b + 22)
Suppose 2*l + 68 = 6*l. Suppose 4*n - l = -5. Let c(g) = g**2 + 2*g - 1. Let s(r) = r**2 + r - 1. Let v(x) = n*c(x) - 6*s(x). Determine h, given that v(h) = 0.
-1, 1
Let g = -232 + 6266/27. Let d(q) be the first derivative of 4/9*q**2 - g*q**3 + 3 - 8/9*q. Factor d(l).
-2*(l - 2)**2/9
Let y = 2002 - 2002. Let i(o) be the second derivative of -1/42*o**4 + 3/70*o**5 + 11*o + 1/147*o**7 - 1/35*o**6 + 0*o**2 + 0*o**3 + y. Factor i(b).
2*b**2*(b - 1)**3/7
Let c(r) = -r**3 + 3*r**2 - 3*r + 5. Let n be c(2). Let l = -4 + 9. Determine a, given that -3*a**2 + a**l - 3*a**2 - a - 2*a**n + 6*a**4 + 5*a - 3*a**5 = 0.
-1, 0, 1, 2
Let b(s) be the third derivative of -s**5/12 + 20*s**4/3 - s**2 + 23. Solve b(c) = 0.
0, 32
Let q(t) be the second derivative of t**8/3360 - t**7/1008 + t**6/1440 - t**4/4 + 6*t. Let c(o) be the third derivative of q(o). What is y in c(y) = 0?
0, 1/4, 1
Let d = 329957/15 + -21997. Suppose -d - 2/15*i - 2/15*i**5 - 2/15*i**4 + 4/15*i**3 + 4/15*i**2 = 0. What is i?
-1, 1
Determine v so that 74/7*v**2 + 22*v - 2/7*v**3 + 78/7 = 0.
-1, 39
Suppose -40 = -5*d + d. Solve 3*m + 2 + m**2 - 3*m**3 - d*m**2 + 6*m**3 + m**2 = 0.
-1/3, 1, 2
Let c(v) be the second derivative of v**7/231 - 4*v**6/165 + 2*v**5/55 + v**4/33 - 5*v**3/33 + 2*v**2/11 + 38*v. Solve c(w) = 0.
-1, 1, 2
Factor 4/15*v**3 - 2*v**2 + 2/15*v**4 + 0*v + 0.
2*v**2*(v - 3)*(v + 5)/15
Let m**3 - 6*m**2 + 3*m**5 + 13*m**4 - 6*m**4 - 2*m**5 - 3*m**4 = 0. What is m?
-3, -2, 0, 1
Let r be (-3)/(-2) - (-8 - (-39)/6). Suppose 4*b**4 + 4*b**2 - 3*b**4 + b**2 - 4*b - 4*b**r + 2*b = 0. Calculate b.
0, 1, 2
Let j = -22 + 25. Suppose -j*m - 11 = -17. Factor -6*y**3 + y**4 + y**4 + m*y**4 - y**4 + 6*y - 3*y**2.
3*y*(y - 2)*(y - 1)*(y + 1)
Suppose -4*w + 40 = -0*w. Suppose -w = -5*u + 5. Let -4 + 2*i**3 + i**4 - i**2 + u + i**2 - 2*i = 0. What is i?
-1, 1
Factor -138 - 136 - 81*f**2 - 30*f**3 + f**2 + 274 + 5*f**4.
5*f**2*(f - 8)*(f + 2)
Let l be 56/60*(48/(-20))/(392/(-70)). Factor 0*s - l*s**3 - 4/5*s**2 + 0.
-2*s**2*(s + 2)/5
Suppose 5*z = -107 + 87. Let q(s) = 2*s**5 + 4*s**4 - 10*s**3 + 6*s**2 + 2*s. Let f(v) = 2*v + 2*v + v**4 - 3*v. Let i(x) = z*f(x) + 2*q(x). Factor i(a).
4*a**2*(a - 1)**2*(a + 3)
Let a(t) be the third derivative of 25*t**8/1848 - 2*t**7/33 + 23*t**6/220 - 14*t**5/165 + t**4/33 - 2*t**2. Factor a(c).
2*c*(c - 1)**2*(5*c - 2)**2/11
Let u(r) be the second derivative of 1/66*r**4 + 0 + 14/33*r**3 + 14*r + 49/11*r**2. Suppose u(n) = 0. Calculate n.
-7
Let y(o) be the second derivative of o**7/105 + 2*o**6/75 - 7*o**5/50 + 2*o**4/15 - 74*o. Find n such that y(n) = 0.
-4, 0, 1
Let w(q) = q - 15. Let h be w(18). Suppose f + h = 5. Suppose -5*g**4 + 10*g**2 + 0*g**4 + g**4 - 8*g**3 + f*g**2 = 0. Calculate g.
-3, 0, 1
Let q(t) be the third derivative of t**6/60 - 83*t**5/105 - 4*t**4/7 - 178*t**2. Suppose q(b) = 0. Calculate b.
-2/7, 0, 24
Factor 9*s + 24 - 3/2*s**2.
-3*(s - 8)*(s + 2)/2
Suppose 9 = h + 2*h. Find n, given that 33*n**h - 5*n**4 - 15*n**4 - 28*n**3 = 0.
0, 1/4
Let n(l) = 5*l + 38. Let v be n(-15). Let g be v/(-11) + (-6 + -1 - -4). What is q in 2/11*q**2 - g + 2/11*q = 0?
-2, 1
Let n be (46/(-2))/((3 - 2) + -2