(q).
q*(q - 6)**2/2
Let u(i) = 20*i**2 - 3*i + 2. Let t = 1 + 1. Let q be u(t). Factor -28*n**5 + 0*n + 20*n**3 + 8*n + q*n**4 - 80*n**3 + 4*n**2.
-4*n*(n - 1)**3*(7*n + 2)
Find p, given that 208/7*p**3 + 160/7*p + 272/7*p**2 + 74/7*p**4 + 32/7 + 10/7*p**5 = 0.
-2, -1, -2/5
Let m(u) be the second derivative of 1/6*u**4 - 1/15*u**6 + 0 - 1/6*u**3 + 0*u**2 + 0*u**5 + 2*u + 1/42*u**7. What is f in m(f) = 0?
-1, 0, 1
Let x(m) be the second derivative of -m**4/3 - 26*m**3/3 - 24*m**2 - 40*m + 2. Determine s, given that x(s) = 0.
-12, -1
Let c(k) be the first derivative of 3*k**5/35 + 9*k**4/14 - 25*k**3/7 + 27*k**2/7 + 121. Factor c(r).
3*r*(r - 2)*(r - 1)*(r + 9)/7
Let -112/5 + 4*u + 2/5*u**2 = 0. Calculate u.
-14, 4
Let q(k) be the second derivative of -k**4/8 + 45*k**3/2 - 6075*k**2/4 + 8*k - 6. Let q(y) = 0. Calculate y.
45
Let q = 27 + -18. Let i(f) = 15*f**3 - 33*f**2 - 21*f - 9. Let w(r) = 7*r**3 - 16*r**2 - 11*r - 5. Let j(d) = q*w(d) - 5*i(d). Factor j(l).
-3*l*(l - 2)*(4*l + 1)
Let h(n) = -31*n**3 - 222*n**2 + 257*n. Let r(i) = i**4 + 2*i**2 + i. Let t(p) = 4*h(p) - 4*r(p). Determine y, given that t(y) = 0.
-16, 0, 1
Let z(b) be the third derivative of b**5/300 - b**4/15 + 7*b**3/30 - 69*b**2. Factor z(d).
(d - 7)*(d - 1)/5
Let i(p) be the first derivative of -2*p**4/5 + 22*p**3/15 + 15*p**2 + 36*p/5 + 269. Factor i(a).
-2*(a - 6)*(a + 3)*(4*a + 1)/5
Let 132*m**2 + 264 - 6*m**3 - 332*m**2 - 1598*m + 603 + 289 = 0. Calculate m.
-17, 2/3
Let y be (1 + 262)*(6 - (-500)/(-84)). Let x = y + -69/7. Factor 2/3*c**2 + 8/3 + x*c.
2*(c + 2)**2/3
Suppose -3*r + 8 = 2. Factor 21*i**r - 30*i**3 + 13*i**2 - 133*i**2 - 120*i - 48 - 3*i**4.
-3*(i + 1)**2*(i + 4)**2
Let u(z) be the third derivative of -1/210*z**5 - 15*z**2 + 0*z + 2/21*z**3 - 1/84*z**4 + 0. Factor u(r).
-2*(r - 1)*(r + 2)/7
Let h(k) be the third derivative of k**10/60480 - k**9/10080 + k**8/4480 - k**7/5040 - k**4/2 + 25*k**2. Let r(c) be the second derivative of h(c). Factor r(s).
s**2*(s - 1)**3/2
Let b(k) be the second derivative of -k**7/105 - 17*k**6/45 - 37*k**5/30 - 5*k**4/6 + 16*k**3/9 + 52*k**2/15 - 142*k. Suppose b(r) = 0. What is r?
-26, -1, 2/3
Let m = -49 - -52. Factor 9*x**3 - 5*x**5 - 14*x**3 + 0*x**5 + 7*x**4 + m*x**4.
-5*x**3*(x - 1)**2
Factor 14/9*f - 40/9*f**2 + 0 - 2/3*f**3.
-2*f*(f + 7)*(3*f - 1)/9
Let n = 80 + -106. Let r be n/(-91)*2/4*6. Determine c, given that 6/7*c**4 - 4/7*c + 2/7*c**3 + 2/7*c**5 + 0 - r*c**2 = 0.
-2, -1, 0, 1
Let t be ((-1)/(-3))/(1*(-2)/(-24)). Factor -38*j + 2*j**t + 33*j + 3*j**4 - 15*j**2 + 10 + 5*j**3.
5*(j - 1)**2*(j + 1)*(j + 2)
Find c, given that 3*c**3 + 53*c - 16*c**2 - 6*c**2 + 22*c**3 + 2*c**4 - 22*c**2 - 81*c = 0.
-14, -1/2, 0, 2
Let s(h) be the second derivative of h**9/7560 - h**7/1050 + h**5/300 + 7*h**3/3 - 7*h. Let q(z) be the second derivative of s(z). Factor q(m).
2*m*(m - 1)**2*(m + 1)**2/5
Factor -2/19*b**2 - 200/19*b + 202/19.
-2*(b - 1)*(b + 101)/19
Let c(i) be the second derivative of -i**4/12 + 5*i**3/6 + 7*i**2 + 29*i - 3. Factor c(y).
-(y - 7)*(y + 2)
Let f(l) = l**3 + l**2 - 10. Let q(s) = s**3 + 2*s**2 + s - 8. Let u(w) = -4*f(w) + 5*q(w). Find z such that u(z) = 0.
-5, -1, 0
Determine u so that -105*u**3 - 62*u**2 + 85*u**2 - 78*u**2 + 30*u + 220*u**4 - 60*u**5 = 0.
-1/2, 0, 1/2, 2/3, 3
Let x(t) = t**3 - 23*t**2 + 21*t + 24. Let k be x(22). Let z(y) = -y + 2. Let d be z(k). Find m, given that 0*m**3 - 3/4*m**4 + 0*m**2 + 0*m + d = 0.
0
Suppose 7*h - 17010 = -2*h. Let u be h/(-495) + (3 - -1). Let 2/11 - 4/11*p**2 + 2/11*p - 4/11*p**3 + 2/11*p**4 + u*p**5 = 0. Calculate p.
-1, 1
Let n(h) be the third derivative of -h**6/30 - 7*h**5/15 - 11*h**4/6 - 10*h**3/3 - 123*h**2. Factor n(g).
-4*(g + 1)**2*(g + 5)
Let d(t) = 8*t**4 + 5*t**3 - 11*t**2 + t + 3. Let w(g) = 35*g**4 + 20*g**3 - 45*g**2 + 3*g + 13. Let l(z) = 26*d(z) - 6*w(z). Let l(f) = 0. What is f?
0, 1, 2
Let p be 2*2/(-8)*(88 + -91). Find n such that 15*n + p*n**2 + 75/2 = 0.
-5
Let l(u) be the first derivative of u**6/18 + 8*u**5/15 - u**4/12 - 8*u**3/9 - 338. Suppose l(k) = 0. What is k?
-8, -1, 0, 1
Suppose -3/4*y**4 - 19/4*y**2 + 1 - 7/2*y**3 - y = 0. Calculate y.
-2, -1, 1/3
Let m(p) be the first derivative of -9 - 7/2*p**2 + 3*p**3 - 5/4*p**4 + 1/5*p**5 + 2*p. Find i such that m(i) = 0.
1, 2
Let p(m) = m**3 - 2. Let w be 12/5 - (-12)/(-30). Let a be p(w). Factor 2*k**4 - a*k + 12*k**2 - 12*k**3 + 2*k + 2*k**4 + 0*k.
4*k*(k - 1)**3
Suppose 85*l = 87*l - 2. Let p be l/(-5) + 4/40*2. Factor p + 4/7*a - 2/7*a**2.
-2*a*(a - 2)/7
Suppose -8*s - 22 = v - 13*s, -2*v + 4*s = 14. Determine p so that 2/9*p**5 - 4/9*p**v + 2/9*p + 0*p**2 + 0*p**4 + 0 = 0.
-1, 0, 1
Let a(x) be the first derivative of 0*x - x**3 + 1/3*x**4 - 4*x**2 + 2 - 1/30*x**5. Let l(s) be the second derivative of a(s). Solve l(j) = 0.
1, 3
Suppose 0 = 4*s + 2*l - 5*l - 1613, 0 = 4*s - l - 1607. Determine a, given that a**5 - 2*a**4 - s*a**3 + 400*a**3 - 2*a**2 + 4*a**4 = 0.
-2, -1, 0, 1
Let y(z) be the second derivative of -z**6/90 + z**5/15 - z**4/36 - z**3/3 - 284*z. Suppose y(q) = 0. Calculate q.
-1, 0, 2, 3
Let t(x) be the first derivative of -1/6*x**3 + 0*x - 5 + x**2. Factor t(m).
-m*(m - 4)/2
Factor -548/7*u + 75076/7 + 1/7*u**2.
(u - 274)**2/7
Factor -8*h**3 + 3*h**2 + 4*h + 5 + 9*h**3 - 12*h - h.
(h - 1)**2*(h + 5)
Factor 243*t**5 + 103*t + 6*t**2 + 2*t**2 + 32*t**2 - 100*t + 20*t**2 + 540*t**4 + 354*t**3.
3*t*(t + 1)**2*(9*t + 1)**2
Let l(i) = 23*i**2 - 39*i - 17. Let a(j) = 11*j**2 - 20*j - 9. Let n(m) = m**3 - 23*m**2 + 42*m - 3. Let g be n(21). Let o(q) = g*l(q) + 5*a(q). Factor o(t).
-(2*t - 3)*(7*t + 2)
Let i(l) be the first derivative of -5*l**8/672 - l**7/84 - 18*l**2 + 19. Let s(g) be the second derivative of i(g). Factor s(n).
-5*n**4*(n + 1)/2
Let v be (3 + -8)/(-1 + 0/3). Suppose -143*w**4 + 2*w**2 + 149*w**4 - 2*w**v - 7*w**3 + w**3 = 0. Calculate w.
0, 1
Let q = -799 + 802. Let 1/3*x**2 + 0*x + 0 - 2/3*x**q + 1/3*x**4 = 0. What is x?
0, 1
Suppose -124*n - 6 = -127*n. Factor 0*b + 1/2*b**4 - 18*b**5 + 0*b**n + 0 + b**3.
-b**3*(4*b - 1)*(9*b + 2)/2
Factor 0 + 4/3*x**3 + 24*x - 44/3*x**2.
4*x*(x - 9)*(x - 2)/3
Let s(j) be the first derivative of 0*j**3 - 1/240*j**6 + 0*j**5 + 11 + 0*j + 1/48*j**4 + 4*j**2. Let d(t) be the second derivative of s(t). Factor d(v).
-v*(v - 1)*(v + 1)/2
Let q(x) be the second derivative of -35/12*x**4 + 5*x**2 - 25/6*x**3 + 0 + 5*x. Solve q(j) = 0.
-1, 2/7
Let d(m) = -17*m**2 + 3*m + 32. Let p(f) = -2*f**2 - 2*f + 2. Let q(s) = -d(s) + 6*p(s). Let q(i) = 0. What is i?
-1, 4
Suppose -15*z - 22*z**4 - 5*z**2 + 15*z**3 + 10 + 12*z**4 + z**4 + 4*z**4 = 0. Calculate z.
-1, 1, 2
Let r(z) be the first derivative of 15 - 7/15*z**2 + 4/15*z**3 + 2/15*z. Factor r(f).
2*(f - 1)*(6*f - 1)/15
Let h(c) be the third derivative of -1/16*c**4 - 1/3*c**3 + 1/120*c**5 - 31*c**2 + 0*c + 0. Determine b, given that h(b) = 0.
-1, 4
Suppose -6*g + 0 - 9/2*g**3 + 1/2*g**4 + 10*g**2 = 0. Calculate g.
0, 1, 2, 6
Let -408*p - 414*p - 296*p + 1218*p - 4*p**2 = 0. What is p?
0, 25
Suppose -2*t = 4*b + 216, -5*t - 189 = 5*b + 71. Let w be ((-6)/b)/(1/(32/12)). Factor 4/7*s**2 + w*s + 0 + 2/7*s**3.
2*s*(s + 1)**2/7
Let c be 4 - 6/(-36)*0. Let k(q) be the first derivative of 0*q + 5 - 1/4*q**c - 2/3*q**2 - 1/30*q**5 - 2/3*q**3. Suppose k(r) = 0. What is r?
-2, 0
Let d(c) be the third derivative of -c**6/120 + c**5/15 + 19*c**4/24 + 7*c**3/3 + 187*c**2. Factor d(k).
-(k - 7)*(k + 1)*(k + 2)
Let k(y) be the third derivative of y**8/84 + 2*y**7/21 - y**6/5 + 197*y**2 + 2*y. Solve k(n) = 0 for n.
-6, 0, 1
Let m(c) be the first derivative of c**7/168 - c**5/8 - 5*c**4/12 - 31*c**3/3 + 20. Let b(p) be the third derivative of m(p). Let b(a) = 0. Calculate a.
-1, 2
Let o(c) = -3*c**2 - 14*c + 17. Let u(p) = -p + 1. Let q = -19 + 24. Let x(l) = q*u(l) - o(l). Factor x(g).
3*(g - 1)*(g + 4)
Let h be (11/484)/((-2)/(-16)). Determine w so that 6/11*w + h*w**2 + 4/11 = 0.
-2, -1
Let h(l) = -12*l**4 + l**3 + l**2 + 4*l - 6. Let s(b) = b**3 + 12*b**4 + 29 - b**3 - 22 - 5*b. Let v(a) = -7*h(a) - 6*s(a). Determine q so that v(q) = 0.
-2/3, 0, 1/4, 1
Find w, given that -18 + 6*w**2 + 5*w - 59*w - 7*w**2 - 711 = 0.
-27
Let s(n) be the second derivative of n**6/70 - 27*n**5/140 + 6*n**4/7 - 10*