3 + 2711/6. Find f, given that -1/2*f**3 + 1/2*f**2 - 1/2 + s*f = 0.
-1, 1
Let a be (((-650)/(-117))/(-10))/((-20)/24). Factor -8/3*l - a*l**2 + 0.
-2*l*(l + 4)/3
Let a(g) = -10*g**2 - 3*g - 3. Let u be a(2). Let i = u - -67. Determine l, given that 162/5*l**3 + 8/5 - 64/5*l + i*l**2 = 0.
-1, 2/9
Let k = 1717/5 + -29179/85. Let 0*w**2 + k*w**4 + 0*w + 0 + 2/17*w**3 = 0. Calculate w.
-1, 0
Let c(i) = i + 4. Let s be c(0). Let x be 5/(-80)*2 - 915/(-24). Find g, given that -x + 38 - 2*g**3 - s*g - 6*g**2 = 0.
-2, -1, 0
Let m = -1602 + 1604. Factor -14 - 2/7*q**m - 4*q.
-2*(q + 7)**2/7
What is i in -i**3 + 6*i**3 - 148*i**2 + 138*i**2 = 0?
0, 2
Let y(w) be the first derivative of w**6/6 + 3*w**5/10 - 3*w**4/4 - 13*w**3/6 - 3*w**2/2 - 121. Find j, given that y(j) = 0.
-3/2, -1, 0, 2
Let h(j) be the second derivative of -j**5/5 - 5*j**4/3 - 16*j**3/3 - 8*j**2 + 232*j. Factor h(l).
-4*(l + 1)*(l + 2)**2
Find g, given that -3/7*g**3 - 38025/7*g - 823875/7 - 585/7*g**2 = 0.
-65
Let g(p) be the second derivative of -p**7/1260 + p**6/108 + p**5/180 - 5*p**4/36 - 5*p**3/6 + 5*p. Let m(r) be the second derivative of g(r). Factor m(j).
-2*(j - 5)*(j - 1)*(j + 1)/3
Let d = -79601/8 + 9951. Find m, given that 1/2 - d*m**2 - 3/2*m = 0.
-2, 2/7
Let c(s) = -5*s - 106. Let a be c(-23). Let i(u) be the third derivative of 0*u**3 + 1/20*u**4 + 0 + 0*u - a*u**2 + 1/150*u**5. Factor i(t).
2*t*(t + 3)/5
Let w(q) be the third derivative of -q**10/1512000 - q**9/302400 - q**8/201600 + q**5/5 + 10*q**2. Let a(s) be the third derivative of w(s). Solve a(t) = 0.
-1, 0
Let h(t) be the first derivative of t**5 - 565*t**4/2 + 62705*t**3/3 + 64410*t**2 + 64980*t - 279. Factor h(v).
5*(v - 114)**2*(v + 1)**2
Let s(p) be the first derivative of 0*p**3 + 0*p + 1/4*p**4 - 1/2*p**2 - 11. Factor s(n).
n*(n - 1)*(n + 1)
Let c(n) = n**2 + 1. Let g(z) = 7*z**2 - 6*z + 5. Let f(u) = u**3 - 2*u**2 - 2*u - 5. Let v be f(0). Let i(l) = v*c(l) + g(l). Factor i(h).
2*h*(h - 3)
Let i(u) be the first derivative of -26/3*u**3 + 5/2*u**4 - 32 + 0*u - 6*u**2. Determine m so that i(m) = 0.
-2/5, 0, 3
Let s(j) be the second derivative of j**5/10 - 9*j**4 + 324*j**3 - 5832*j**2 + 14*j. Factor s(m).
2*(m - 18)**3
Let t(a) be the first derivative of 3 + 1/3*a**2 - 2*a - 13/18*a**3 + 11/36*a**4. Let p(x) be the first derivative of t(x). Let p(w) = 0. Calculate w.
2/11, 1
Let -100*c + 100*c**3 - 5*c**4 - 183 + 70 + 242 + 180 - 495*c**2 + 191 = 0. What is c?
-1, 1, 10
Let j(o) = -7*o**2 - 23*o + 30. Let r(v) = -v**2 - 1. Let d(g) = -15*g**2 + 15*g - 40. Let c(s) = d(s) - 20*r(s). Let m(z) = 8*c(z) + 5*j(z). Solve m(x) = 0.
-2, 1
Let c(b) be the first derivative of -9*b**5/7 + 3*b**4/2 - 3*b**3/7 - 30. Factor c(v).
-3*v**2*(3*v - 1)*(5*v - 3)/7
Suppose 42 = 57*r - 43*r. Let 1 - 7/4*v**4 - 1/2*v**r + 21/4*v**2 + 5*v = 0. Calculate v.
-1, -2/7, 2
Let t(i) be the third derivative of i**6/30 - i**5/3 + 7*i**4/6 - 2*i**3 + i**2 - 2*i. Factor t(v).
4*(v - 3)*(v - 1)**2
Factor -1/7*j**2 + 332/7*j - 27556/7.
-(j - 166)**2/7
Let x(r) be the third derivative of r**5/12 - 25*r**4/24 + 5*r**3 - r**2 - 232*r. Determine l, given that x(l) = 0.
2, 3
Suppose -3*p = 79 - 85. Factor u**p + 1/2 - 9/4*u.
(u - 2)*(4*u - 1)/4
Factor 4/17 + 6/17*y**2 - 2/17*y**3 + 10/17*y - 2/17*y**4.
-2*(y - 2)*(y + 1)**3/17
Let y(b) be the third derivative of -b**9/5040 + 3*b**8/2240 + b**7/840 - b**6/80 + 19*b**4/24 + 7*b**2. Let p(m) be the second derivative of y(m). Factor p(a).
-3*a*(a - 3)*(a - 1)*(a + 1)
Let w(g) be the third derivative of -8*g**2 + 1/120*g**6 + 0*g**3 + 0 + 0*g**4 - 1/30*g**5 + 0*g. Determine r, given that w(r) = 0.
0, 2
Let l(c) = 1. Let j(h) be the first derivative of -h**3 - 6*h**2 - 15*h + 17. Let q(o) = j(o) + 3*l(o). Factor q(u).
-3*(u + 2)**2
Let a(z) = 9*z**2 - 141*z - 150. Let s(n) = -n**2 + 14*n + 15. Suppose 2*r - 90 = 4*t, 3*r + 2*r - 78 = 3*t. Let m(d) = t*s(d) - 2*a(d). What is k in m(k) = 0?
-1, 5
Suppose 21 = 2*s + 5*s. Let t(c) be the second derivative of 1/30*c**6 + c**2 + 0 - 1/6*c**s + 1/20*c**5 + 2*c - 1/4*c**4. Factor t(r).
(r - 1)**2*(r + 1)*(r + 2)
Let a(y) be the first derivative of -10*y**2 + 0*y - 5/3*y**3 - 2. Factor a(c).
-5*c*(c + 4)
Let w = 230 + -226. Let j(v) be the first derivative of 39/4*v**w - 11*v**3 + 0*v + 1 - 12/5*v**5 + 3*v**2. Factor j(t).
-3*t*(t - 2)*(t - 1)*(4*t - 1)
Let f(t) = t + 14. Let g be f(-14). Suppose 2*i - 4 = -r, -4*i = -g*i + 3*r - 4. Solve 4*c**2 - c**3 - 5*c**2 + c**i + 0*c**4 + 0*c**4 + c = 0.
-1, 0, 1
Let w(r) be the first derivative of r**8/252 + 4*r**7/315 + 3*r**2/2 + 5. Let a(p) be the second derivative of w(p). Factor a(f).
4*f**4*(f + 2)/3
Suppose -9 = -3*q - 3*m, 26*m - 27*m = 5*q - 15. Let a(j) be the third derivative of 0*j**q + 1/180*j**6 - 1/36*j**4 + 6*j**2 + 0 + 0*j**5 + 0*j. Factor a(h).
2*h*(h - 1)*(h + 1)/3
Let z be -1 - ((-4 - -2) + 11). Let h = z + 14. Factor q**3 + 8 - 2*q**3 - 4*q + 46*q**2 + 5*q**3 - 58*q**2 + 4*q**h.
4*(q - 1)**2*(q + 1)*(q + 2)
Let d(a) be the first derivative of -3/25*a**5 + 0*a**4 + 0*a + 1/5*a**3 + 0*a**2 + 26. What is r in d(r) = 0?
-1, 0, 1
Factor 0*u**4 - 24/5*u**3 + 0 + 32/5*u**2 + 2/5*u**5 + 0*u.
2*u**2*(u - 2)**2*(u + 4)/5
Let h(q) be the second derivative of q**7/315 + 2*q**6/75 + q**5/150 - 4*q**4/15 + 16*q**3/45 + 29*q. Factor h(s).
2*s*(s - 1)**2*(s + 4)**2/15
Find z, given that 3/7*z**4 - 6/7*z**3 + 3/7 + 3/7*z - 6/7*z**2 + 3/7*z**5 = 0.
-1, 1
Let 48 + 3*n**2 + 205*n + 187*n - 6*n**2 + 192*n - 602*n = 0. What is n?
-8, 2
Let q be (1 - 0/1) + 4. Suppose q*y = 4 + 21. Let c(l) = -3*l**2 + 6*l - 5. Let b(x) = -4*x**2 + 9*x - 7. Let g(w) = y*b(w) - 7*c(w). Factor g(m).
m*(m + 3)
Let b(p) be the third derivative of -p**6/1080 + p**5/36 - 13*p**4/108 + 345*p**2. Solve b(z) = 0.
0, 2, 13
Let v(j) be the second derivative of 0 + 0*j**3 - 1/15*j**5 + 2/9*j**4 + 2/63*j**7 - 1/15*j**6 + 14*j - 1/3*j**2. Let v(w) = 0. What is w?
-1, -1/2, 1
Determine j, given that 26/3*j**2 + 2/3*j**3 + 40/3 + 64/3*j = 0.
-10, -2, -1
Let t(p) be the third derivative of p**6/1200 + 31*p**5/600 + 7*p**4/15 + 9*p**3/5 - 2*p**2 - 103*p. Factor t(z).
(z + 2)**2*(z + 27)/10
Suppose -1/4*d + 1/4*d**3 - 1/2 + 1/2*d**2 = 0. What is d?
-2, -1, 1
Suppose 187*u - 184*u = -x + 11, -5*u - 5*x + 25 = 0. Determine r so that 0*r**2 + 0*r + 1/8*r**u + 0 = 0.
0
Let k(w) be the third derivative of -w**8/7560 + w**6/540 - w**5/270 + 17*w**3/6 - 11*w**2. Let y(l) be the first derivative of k(l). Factor y(c).
-2*c*(c - 1)**2*(c + 2)/9
Let t(z) be the second derivative of 0 + 4/3*z**3 - 5/3*z**4 - 2/5*z**5 + 0*z**2 + 7*z + 2/3*z**6. Determine c so that t(c) = 0.
-1, 0, 2/5, 1
Let l = 42 - 377/9. Let i(g) be the second derivative of 0*g**5 + 0 - 2/45*g**6 - 1/63*g**7 + 2*g + 0*g**2 + l*g**3 + 1/9*g**4. Factor i(r).
-2*r*(r - 1)*(r + 1)**3/3
Let a = -13034/3 + 4345. Solve -1/3*l**2 - a*l + 0 = 0.
-1, 0
Let o(p) be the first derivative of 1/210*p**5 - 4 - 1/42*p**4 + 2*p**2 - 1/7*p**3 + 0*p. Let t(y) be the second derivative of o(y). Factor t(x).
2*(x - 3)*(x + 1)/7
Find a, given that -27*a**5 + 6104*a**3 - 8784*a**2 - 939 + 2940*a**4 - 1345*a**5 + 3296*a + 555 = 0.
-2, 2/7, 4/7, 3
Determine k, given that 7 + 38 + 94*k - 3*k**3 - 82*k - 15*k**2 - 7 + 22 = 0.
-5, -2, 2
Let n be ((-80)/70)/((-210)/147). Find x such that 2/5*x**4 + n*x**3 + 0*x - 6/5*x**2 + 0 = 0.
-3, 0, 1
Let o(v) be the first derivative of v**4/10 + 4*v**3/15 - v**2/5 - 4*v/5 - 70. Determine x so that o(x) = 0.
-2, -1, 1
Let t(f) be the third derivative of f**8/2856 + f**7/1785 - f**6/340 - f**5/102 - f**4/102 + 292*f**2. Factor t(u).
2*u*(u - 2)*(u + 1)**3/17
Find z, given that -1/6*z**3 - 41/6 - 13/2*z**2 + 27/2*z = 0.
-41, 1
Let n = 104 + -69. Factor n + 2*j**4 + 48*j**2 - 3 - 34*j + 0 - 16*j**3 - 30*j.
2*(j - 2)**4
Let j be -5 - -4 - (2 - 10). Factor -15*g**2 - 12*g + 8 + j + 10*g - 5*g**3 + 7*g.
-5*(g - 1)*(g + 1)*(g + 3)
Factor 21/2*x - 3/2*x**3 + 0*x**2 + 9.
-3*(x - 3)*(x + 1)*(x + 2)/2
Let y = -10 - -13. Factor -3060 + 3*g + 3060 - 6*g**2 + 3*g**y.
3*g*(g - 1)**2
Let z be (6/20)/1*35/252. Let n(f) be the second derivative of z*f**4 + 1/2*f**2 + 1/4*f**3 + 0 - 4*f. Factor n(i).
(i + 1)*(i + 2)/2
Determine l so that -607*l**3 + 37*l**3 + 29392*l - 5*l**4 - 15903 - 917 + 3169*l**2 + 