*2 + 6/25*w**5 - n*w**3 - 3/20*w**4 + 0*w + 1/10*w**6 + 4. Solve r(s) = 0 for s.
-2, -1, 0, 1
Let h(l) be the first derivative of l**4/22 - 12*l**2/11 - 32*l/11 + 256. Determine y so that h(y) = 0.
-2, 4
Solve -3/2*v**4 + 3*v + 3/2 - 3*v**3 + 0*v**2 = 0.
-1, 1
Let h(v) = -5*v**2 + 28*v - 20. Let j(g) = -56*g**2 + 310*g - 220. Let t(n) = 68*h(n) - 6*j(n). Factor t(w).
-4*(w - 10)*(w - 1)
Let a(z) be the first derivative of -z**4/6 - 14*z**3/9 + 8*z**2/3 + 541. Let a(p) = 0. What is p?
-8, 0, 1
Factor 9*y**3 - 737*y**4 + 0*y**3 + 731*y**4 - 3*y**5 + 12*y**2 - 12*y.
-3*y*(y - 1)**2*(y + 2)**2
Let c(v) be the third derivative of -1/360*v**6 + 0*v + 0 - 17*v**2 + 0*v**4 - 1/30*v**5 + 0*v**3. Determine z, given that c(z) = 0.
-6, 0
Let t(y) be the third derivative of -y**5/72 + 5*y**4/72 + 4*y**2 - 33*y. Determine o, given that t(o) = 0.
0, 2
Let v(y) = -1. Let t(h) = h**2 - 7*h + 4. Let q(b) = 3*t(b) - 6*v(b). Factor q(m).
3*(m - 6)*(m - 1)
Suppose 4*o + 3*o - 266 = 0. Let t be (-76)/o + (-1)/(7/(-18)). What is k in -4/7*k + 0 + 4/7*k**3 + t*k**2 - 4/7*k**4 = 0?
-1, 0, 1
Let f(d) be the second derivative of 1/24*d**4 + 0 + 0*d**3 - 10*d + 0*d**2 + 3/80*d**5 + 1/120*d**6. Factor f(q).
q**2*(q + 1)*(q + 2)/4
Let j(c) be the third derivative of c**5/12 + 35*c**4/12 + 40*c**3 - 2*c**2 + 3*c. Factor j(a).
5*(a + 6)*(a + 8)
Let p(a) be the second derivative of -a**8/420 + a**6/30 + a**5/15 - 11*a**3/6 + a. Let n(x) be the second derivative of p(x). Determine i, given that n(i) = 0.
-1, 0, 2
Suppose -25*d + 27*d + 2*q = 6, -2 = d - 4*q. Find z, given that -3/4*z**3 - 24*z - 35/4*z**d + 9 = 0.
-6, 1/3
Let s(j) be the third derivative of j**6/120 + j**5/10 + j**4/24 + j**3 - 7*j**2. Let w be s(-6). Factor w*n**2 + 1/2*n - 1/2*n**3 - 1/4*n**4 + 1/4.
-(n - 1)*(n + 1)**3/4
Let s(q) be the second derivative of -3*q**5/40 - 31*q**4/4 - 121*q**3/4 - 45*q**2 + 363*q. Factor s(k).
-3*(k + 1)**2*(k + 60)/2
Let r be (-48)/(-112) - 78/(-112). Let d = r - 17/72. Find c, given that d*c - 2/9*c**2 - 8/9 = 0.
2
Let c(s) = s**2 - 131*s - 105. Let i(n) = n**2 - 66*n - 55. Let o(r) = 4*c(r) - 9*i(r). Factor o(f).
-5*(f - 15)*(f + 1)
Let h(u) = u**3 - 5*u**2 + 2*u - 107. Let v be h(7). Let x(s) be the third derivative of 1/90*s**v + 0 + 1/18*s**4 + 1/9*s**3 - 7*s**2 + 0*s. Factor x(t).
2*(t + 1)**2/3
Suppose 0 = -4*i - 5*w - 17, 2*i - 17 = i + 3*w. Determine p, given that 0*p**2 + p**4 + 4613 + 4*p**3 + 3*p**i - 4613 = 0.
-3, -1, 0
Let m(c) be the first derivative of -3/140*c**5 + 3/2*c**2 + 1/7*c**4 + 2/7*c**3 + 0*c - 9/280*c**6 - 2. Let n(k) be the second derivative of m(k). Factor n(o).
-3*(o - 1)*(3*o + 2)**2/7
Let y(s) be the third derivative of s**7/140 + s**6/20 - 3*s**5/10 - 71*s**2. Suppose y(p) = 0. Calculate p.
-6, 0, 2
Let f(x) = 8*x**3 - 11*x**2 + 7*x - 4. Let n(d) = -2*d**3 + d**2 + d. Let o(b) = -f(b) - 3*n(b). Let o(m) = 0. What is m?
1, 2
Let o = 4/2765 - -13813/8295. Let 10/3*p - o*p**2 - 5/3 = 0. Calculate p.
1
Let o = -9560/7 - -1366. Suppose -4*l + 1 = -7. Solve 0*y + 2/7*y**3 + 2/7*y**4 - 2/7*y**5 + 0 - o*y**l = 0.
-1, 0, 1
Let t be 1/9*54/12. Find g such that t - 1/2*g**2 - 1/4*g + 1/4*g**3 = 0.
-1, 1, 2
Suppose 4*v - 8 = 5*j, 19*v - 27 = 2*j + 14*v. Let 0 - 18/7*w**2 + 0*w - 6/7*w**3 - 2/7*w**5 + 10/7*w**j = 0. Calculate w.
-1, 0, 3
Let r be 192/288 + (-2)/3. Let i(b) be the second derivative of -1/15*b**5 + 4/135*b**6 + 0 + 2/27*b**4 - 1/189*b**7 + 7*b + r*b**2 - 1/27*b**3. Factor i(g).
-2*g*(g - 1)**4/9
Suppose x + 4*h - 9 = 0, -7*x + 3*h = -2*x - 91. Find o, given that -12*o**2 - 9*o**3 + 2 - 13 + 3*o + x = 0.
-1, 2/3
Factor -k + 497*k**2 + 5*k**5 - 42*k - 45*k**4 + 70*k**3 + 35 - 487*k**2 - 44*k + 12*k.
5*(k - 7)*(k - 1)**3*(k + 1)
Let r be 13/5 - (-18)/45. Suppose 1 + 4*g**2 + 9*g - 1 + 8*g**2 - r = 0. Calculate g.
-1, 1/4
Suppose -20*d**4 - 4*d**4 + 9*d**5 - 18*d**3 + 21*d - 2 + 2 + 24*d**2 - 12*d**5 = 0. Calculate d.
-7, -1, 0, 1
Let b be -327*((-35)/(-15))/7. Let w = b - -109. Factor 1/3*l**5 - 2/3*l**4 + 0*l - 1/3*l**3 + w + 2/3*l**2.
l**2*(l - 2)*(l - 1)*(l + 1)/3
Suppose 19*h = -56 + 56. Factor 0 - 6/5*m**4 - 2/5*m**5 + 0*m**2 - 4/5*m**3 + h*m.
-2*m**3*(m + 1)*(m + 2)/5
Let i = 40 - 36. Factor -2*b**2 - 8*b**4 + 14*b**3 - 5*b**2 + 2*b - 5*b**2 + i*b**3.
-2*b*(b - 1)**2*(4*b - 1)
Let p = 481 - 481. Let g(q) be the first derivative of p*q + 4/21*q**3 - 4/35*q**5 + 1/7*q**4 - 1 - 2/7*q**2. Factor g(x).
-4*x*(x - 1)**2*(x + 1)/7
Suppose 0 = -c - 1 + 11. Let y = c + -4. Factor -12 + y*l - 3*l**2 + 12.
-3*l*(l - 2)
Let r(y) be the first derivative of y**4/26 - 14*y**3/39 + 6*y**2/13 - 92. Solve r(g) = 0.
0, 1, 6
Let o be 5 + -6 + -1 + 3 + 3. Let h(n) be the first derivative of 2*n**2 + 4/3*n + 4/3*n**3 - o + 1/3*n**4. Find s such that h(s) = 0.
-1
Let h(t) be the second derivative of -11*t**6/50 - 3*t**5/5 - 7*t**4/20 + t**3/5 - 538*t. Suppose h(m) = 0. What is m?
-1, 0, 2/11
Let u be (20/(-35))/(1/(-7)). Suppose 0 = -3*v + u*v - 3. Factor -6*w - v + 3*w**2 - 3*w**2 - 3*w**2.
-3*(w + 1)**2
Let c(f) be the second derivative of -f**5/90 + 26*f**4/27 + 53*f**3/27 + 94*f. Suppose c(o) = 0. What is o?
-1, 0, 53
Let n(a) = 5*a**5 - 5*a**4 + 9*a**3 + 5*a**2 - 7*a + 7. Let m(s) = -s**5 + s**4 - s**3 - s**2 + s - 1. Let v(z) = 14*m(z) + 2*n(z). Find k, given that v(k) = 0.
-1, 0, 1
Let i be (1 + 10/15)/((-15)/(-54)). Suppose -7*a + i*a = -5. Factor -y**3 + 2/5*y**2 + 0 + 0*y - 1/5*y**a + 4/5*y**4.
-y**2*(y - 2)*(y - 1)**2/5
Let m(q) = 2*q**2 + 10*q**2 - 21*q + 5 + 13*q + 15*q**3. Let p(f) = 16*f**3 + 12*f**2 - 8*f + 4. Let o(c) = 4*m(c) - 5*p(c). Solve o(d) = 0.
-1, 0, 2/5
Let q(v) be the second derivative of 0 + 0*v**2 - 5/9*v**4 + 1/9*v**3 - 9*v + 5/6*v**5. Factor q(a).
2*a*(5*a - 1)**2/3
Find c such that 2*c**4 - 185*c**2 - 3*c**4 + 11*c - 16*c**3 + 5*c + 186*c**2 = 0.
-16, -1, 0, 1
Let f(b) be the third derivative of 3*b**7/350 + b**6/100 - 11*b**5/300 - b**4/30 + 2*b**3/15 + 2*b**2 + 8*b. Factor f(i).
(i + 1)**2*(3*i - 2)**2/5
Let a = 4/2151 - -225763/49473. Let j = 1385/253 - a. Let -2*d**4 + 28/11*d**5 + 4/11*d**2 - j*d**3 + 0*d + 0 = 0. Calculate d.
-1/2, 0, 2/7, 1
Let z(j) = -9*j - 304. Let l be z(-34). Suppose -6*w + 3/2*w**l + 6 = 0. What is w?
2
Let o(j) = j**2 + 5*j - 4. Let r be o(-6). Let y be 58/15 - 657/(-2190). Determine z, given that -10*z**3 + 1/6 - 2*z + y*z**4 + 23/3*z**r = 0.
1/5, 1
Let j be -2*(15/5)/(-3). Factor 0*m + 2*m**2 + m**j + 21*m**3 - 20*m**3 - m - 3.
(m - 1)*(m + 1)*(m + 3)
Let u(n) be the third derivative of -n**8/504 + 2*n**7/315 + n**6/60 - 2*n**5/45 - n**4/9 - 144*n**2. Let u(p) = 0. Calculate p.
-1, 0, 2
Let w = 222 + -217. Suppose -12 = -w*m - d, -m - 5*d = -8 - 4. Determine b so that -18/5*b**2 - 2/5*b**4 + m*b**3 + 14/5*b - 4/5 = 0.
1, 2
Let g(f) be the second derivative of -21*f**5/40 + 3*f**4 - 3*f**3 - 12*f**2 + 31*f - 2. Find m such that g(m) = 0.
-4/7, 2
Let k(d) be the first derivative of 0*d - 2*d**2 - 2 + 8/3*d**3 - d**4. Suppose k(c) = 0. What is c?
0, 1
Let f(i) be the second derivative of i**5/120 - i**4/12 - i**3/36 + i**2/2 - 13*i. Determine s, given that f(s) = 0.
-1, 1, 6
Factor -32/7 - 16/7*t**3 + 46/7*t + 3/7*t**2 - 1/7*t**4.
-(t - 1)**2*(t + 2)*(t + 16)/7
Let k(p) be the second derivative of p**8/1344 - p**6/144 + 5*p**4/12 + 4*p. Let u(j) be the third derivative of k(j). Factor u(d).
5*d*(d - 1)*(d + 1)
Let r be (-13)/(-156)*-6*-4. Factor 0*h + 8/3*h**r + 0 - 2/3*h**4 + 0*h**3.
-2*h**2*(h - 2)*(h + 2)/3
Let h(c) be the second derivative of -c**7/1260 - 7*c**3/3 + 13*c. Let u(i) be the second derivative of h(i). Factor u(f).
-2*f**3/3
Let j(u) be the second derivative of 1/12*u**4 + 0 - u**2 - 16*u + 1/6*u**3. Factor j(x).
(x - 1)*(x + 2)
Let b(f) = -3*f**2 + 36*f - 60. Let n be b(2). Factor 0*y + 0*y**3 + n - 2/7*y**5 + 0*y**4 + 0*y**2.
-2*y**5/7
Let b = -92 + 96. What is f in 0*f**3 + 225*f**5 + f**b - 224*f**5 - 2*f**3 = 0?
-2, 0, 1
Let v = 1/569 - -11947/1138. Let k = -59/6 + v. Factor 2/3*x**2 + k + 4/3*x.
2*(x + 1)**2/3
Solve -2/3*r**5 - 34/3*r - 8/3 - 16/3*r**4 - 44/3*r**3 - 56/3*r**2 = 0 for r.
-4, -1
Let p be -4*(-130)/240 - 2. Let k(v) be the second derivative of 1/126*v**7 + 0 - 1/30*v**5 + 1/90*v**6 + 1/18*v**3 - 1/18*v**4 + p*v**2 + 9*v. Factor k(x).
(x - 1)**2*(x + 1)**3/3
Find