ate f.
-3, 0, 1
Let 0 + 5/6*q**2 - 25/6*q = 0. Calculate q.
0, 5
Suppose -l = 2, 3*l = -5*z - 4 - 2. Let u be (36/(-14) + 2)*(-224)/192. Suppose z + 0*r - u*r**2 + 4/3*r**3 - 2/3*r**4 = 0. Calculate r.
0, 1
Let d be ((-19)/38)/(3/(-66)). Suppose h + 3 = 8*t - 7*t, -5*h = -4*t + d. Factor -4/9*i + 2/3*i**2 - 2/9*i**t + 0*i**3 + 0.
-2*i*(i - 1)**2*(i + 2)/9
Let m = -1/7799 - 7159477/38995. Let a = m + 184. Factor 3/5*o**4 + 2/5*o**3 - 3/5*o + 1/5*o**5 - a*o**2 - 1/5.
(o - 1)*(o + 1)**4/5
Let n(h) be the first derivative of -h**4/9 + 152*h**3/27 + 82*h**2/3 + 4620. Determine k, given that n(k) = 0.
-3, 0, 41
Let d(g) = -g**2 + 89*g - 856. Let t be d(11). Let y(b) be the first derivative of -1/26*b**4 + 7/13*b**t + 8/13*b + 4/39*b**3 - 22. Let y(x) = 0. What is x?
-1, 4
Let b be 1*(1 + 0 + 0). Let v(s) = 4*s**2 + 12*s - 8. Let o(y) be the first derivative of y - 25. Let j(n) = b*v(n) - 8*o(n). Factor j(r).
4*(r - 1)*(r + 4)
Let x(n) be the first derivative of -13*n**4/2 - 550*n**3/9 - 248*n**2/3 - 8*n - 378. Let x(f) = 0. Calculate f.
-6, -1, -2/39
Let f(s) = -2*s**4 + s**3 - s**2. Suppose -4*v - 7 + 3 = 0. Let i(k) = -k**4 - 3*k**3 + 2*k**2 + 4*k - 4. Let m(b) = v*i(b) + f(b). Factor m(g).
-(g - 2)**2*(g - 1)*(g + 1)
Find t, given that -23049*t**3 - 5*t**5 + 305721*t**2 + 3414*t - 58539*t + 587*t**4 - 63513*t = 0.
0, 2/5, 39
Let b(y) be the third derivative of 0 - 11*y**2 - 1/1365*y**7 + 5/13*y**4 - 1/130*y**6 + 11/390*y**5 - 100/39*y**3 + y. Solve b(a) = 0 for a.
-5, 2
Let l = 27 - 21. Suppose 25 = -x + l*x. Factor 7 + 56*d - 61*d - 10*d**2 + 9 - 6 + x*d**3.
5*(d - 2)*(d - 1)*(d + 1)
Let h(q) = -98*q**3 - 671*q**2 - 100*q + 33. Let a(b) = -19*b**3 - 134*b**2 - 20*b + 6. Let i(f) = -33*a(f) + 6*h(f). Let i(d) = 0. What is d?
-10, -2/13, 0
Let n(s) be the second derivative of -12*s + 0*s**2 + 0 - 1/18*s**4 - 8/9*s**3. Find u, given that n(u) = 0.
-8, 0
Let z(a) be the first derivative of 0*a**4 + 2*a**3 + 69 + 0*a**2 - 27*a - 1/15*a**5. Determine g so that z(g) = 0.
-3, 3
Let f(t) be the first derivative of t**5/32 - 7*t**4/96 + t**3/24 - 110*t + 3. Let u(n) be the first derivative of f(n). Let u(r) = 0. Calculate r.
0, 2/5, 1
Factor 590/3 + 1/3*l**2 + 23*l.
(l + 10)*(l + 59)/3
Factor 180*i**2 - 25*i**3 - 122*i**2 + 169 + 214*i**2 - 809 - 1440*i + 118*i**2.
-5*(i - 8)**2*(5*i + 2)
Let z be (0 - -3)*1 - (6 - 5). Determine n so that 2*n**3 - n**3 + 87*n + z*n**3 + 58*n**2 - 10*n**2 + 42 = 0.
-14, -1
Let c(r) = -1847*r + 5549. Let k be c(3). Factor -80/3*f**2 + 8/3*f**5 + k*f**3 - 32*f + 0 + 12*f**4.
4*f*(f + 2)**3*(2*f - 3)/3
Let a(b) be the first derivative of b**6/30 - 304*b**5/25 + 30601*b**4/20 - 66606*b**3 - 1045602*b**2/5 - 1061208*b/5 + 1607. Factor a(h).
(h - 102)**3*(h + 1)**2/5
Let d(c) be the third derivative of -c**5/105 + c**4/6 + 12*c**3/7 + 2875*c**2. Determine j so that d(j) = 0.
-2, 9
Solve 33*q + 28*q - 2*q**5 + 21*q - 100*q - 42*q**3 - 26*q**2 + 26*q**4 + 62*q = 0 for q.
-1, 0, 1, 2, 11
Let g(i) be the second derivative of -i**6/6 + 91*i**5/4 - 3215*i**4/4 - 32195*i**3/6 - 11045*i**2 + 1122*i. Let g(t) = 0. What is t?
-2, -1, 47
Let t(v) = -21*v**3 + 9*v**2 - 213*v - 9. Let o(i) = 5*i**3 - 2*i**2 + 47*i + 2. Let c(b) = 9*o(b) + 2*t(b). Find d such that c(d) = 0.
-1, 0, 1
Let s be (22 - 25191/459) + 33. Find w such that 0 + 6/17*w + 4/17*w**2 - s*w**3 = 0.
-1, 0, 3
What is r in -68*r - 58/5*r**2 - 80 + 74/25*r**3 + 2/25*r**5 + 26/25*r**4 = 0?
-5, -2, 4
Let g be (4/(-6) + (-9 - -9))/(5 - 9). Let c(n) be the first derivative of -1/4*n**2 - 1/24*n**4 - g*n - 39 - 1/6*n**3. Factor c(u).
-(u + 1)**3/6
Let a = 49 - 57. Let w be (a/10)/(3 + (-102)/30). Factor -2*k + 2/3*k**4 - 4/3 + 2/3*k**w + 2*k**3.
2*(k - 1)*(k + 1)**2*(k + 2)/3
Let c(x) = x**5 + 2*x**4 - x**3 + x. Let v(l) = 16*l**4 + 124*l**3 + 120*l**2 - 248*l. Let z(b) = 4*c(b) - v(b). Factor z(a).
4*a*(a - 7)*(a - 1)*(a + 3)**2
Let b(j) be the first derivative of -2*j**5/25 + 71*j**4/10 - 222*j**3/5 - 7371*j**2 - 14580*j - 12427. What is y in b(y) = 0?
-18, -1, 45
Let d be 4/(-1 - 3/(-3) - -2). Determine b so that -5378*b**d - 5*b + 30*b + 5379*b**2 = 0.
-25, 0
Let y be 12/22 + (5301/(-99) - -57). Factor -1/4*j**y + 8*j + 0 - 3/2*j**3 + 0*j**2.
-j*(j - 2)*(j + 4)**2/4
Let u be 36/(-10) + (-15)/(225/6). Let d(l) = -l**3 - 3*l**2 - 8*l - 4. Let h(a) = -a**2 - 2*a - 1. Let g(f) = u*h(f) + d(f). What is m in g(m) = 0?
0, 1
Let k(m) = 14*m**3 - 2*m**2 + 4*m. Let z be k(3). Suppose 56*n - 67 = 45. Factor -2*q**4 + 9*q**n - q**4 - z*q + 6 + 357*q + 3*q**3.
-3*(q - 1)**3*(q + 2)
Let z = 1046 + -1182. Let t be (z/(-40) - 3)*2. Factor 14/5*b**2 + t*b + 2*b**3 + 0.
2*b*(b + 1)*(5*b + 2)/5
Suppose 3*o + 4*i = i + 189, 2*i + 114 = 2*o. What is c in -20*c + 33*c**3 - 29*c**3 + o*c**2 - 29*c**3 = 0?
0, 2/5, 2
Suppose 1415 - 2262 = 8712*f - 3860 - 14411. Determine t, given that 0 + 14/5*t**f - 4/5*t + 4/5*t**3 - 14/5*t**4 = 0.
-1, 0, 2/7, 1
Let q(m) = 46*m**4 + 18*m**3 - 4*m**2 + 48*m + 15. Let f(k) = 3*k**4 + 2*k**3 + 1. Let r(y) = -60*f(y) + 4*q(y). Factor r(w).
4*w*(w - 12)*(w - 2)*(w + 2)
Let k(c) be the first derivative of 5*c**6/6 + 7*c**5 - 15*c**4/4 - 115*c**3/3 - 35*c**2 + 251. Factor k(o).
5*o*(o - 2)*(o + 1)**2*(o + 7)
Let a = -1545 + 1548. Let v(l) be the second derivative of 0 - 1/6*l**a - 1/3*l**2 + 1/90*l**6 - l + 1/36*l**4 + 1/20*l**5. Factor v(b).
(b - 1)*(b + 1)**2*(b + 2)/3
Suppose -3*s = -486 + 480. Suppose -k + 2 = -s*p, k - 6*p + 3*p - 2 = 0. Factor 2/5*h**k + 1/5*h**4 - 3/5 + 4/5*h - 4/5*h**3.
(h - 3)*(h - 1)**2*(h + 1)/5
Let i(g) be the second derivative of -5/4*g**5 - 4 - 8*g + 0*g**2 - 785/12*g**4 - 155/3*g**3. Factor i(p).
-5*p*(p + 31)*(5*p + 2)
Let q be ((56/180)/(-7)*-12)/((-648)/(-1080)). Let k = -2 - -7. Factor 0 + 0*w**2 + 4/9*w + 4/9*w**k - q*w**3 + 0*w**4.
4*w*(w - 1)**2*(w + 1)**2/9
Let w(k) be the third derivative of k**7/252 - 5*k**6/144 - k**5/9 + 5*k**4/3 - 2284*k**2. Determine l, given that w(l) = 0.
-3, 0, 4
Let s be 200/(-30)*(-3)/(-510)*-15. Factor 20/17*x**4 - 6/17*x**5 + s*x - 20/17*x**3 - 4/17 + 0*x**2.
-2*(x - 1)**4*(3*x + 2)/17
What is j in -516*j**3 + 4 - 36*j**2 - 3 - 1 + 520*j**3 - 144*j = 0?
-3, 0, 12
Let w(z) = -3*z**3 + 2*z**2 + 5*z + 10. Let i be w(-2). Factor 62*f - i*f + 27 + 21*f**3 + 69*f + 93*f**2.
3*(f + 1)*(f + 3)*(7*f + 3)
Let h(q) = 4*q**4 + 187*q**3 + 519*q**2 - 13*q - 706. Let w(u) = -28*u**4 - 1310*u**3 - 3634*u**2 + 90*u + 4948. Let f(l) = -22*h(l) - 3*w(l). Factor f(z).
-4*(z - 1)*(z + 2)**2*(z + 43)
Let h(a) be the second derivative of a**5/210 + a**4/42 - 89*a**2/2 - 2*a - 20. Let u(d) be the first derivative of h(d). Factor u(p).
2*p*(p + 2)/7
Find n, given that 0*n - 80000/19*n**2 + 80800/19*n**3 + 2/19*n**5 - 802/19*n**4 + 0 = 0.
0, 1, 200
Let r(l) = 4 + 17 - 20. Let u(f) = -4*f**3 + 6*f**2 + 18*f - 12. Let g(c) = -8*r(c) + u(c). Factor g(q).
-2*(q - 1)*(q + 2)*(2*q - 5)
Let j = -273 - -768. Determine x, given that 29*x**2 - j*x - 12*x**3 - 605 + 7*x**3 + 76*x**2 = 0.
-1, 11
Let v(d) be the first derivative of 338*d**5/15 - 1001*d**4/6 + 1699*d**3/6 + 205*d**2/6 + 4*d/3 - 467. Suppose v(a) = 0. Calculate a.
-1/26, 2, 4
Let l be (2 + -3)/((-20)/25 - -1). Let h be (-3 - (-279)/15) + (-2)/l. Determine b, given that 5*b**3 + 4*b**2 + 42*b + h - 10*b - 17*b**3 = 0.
-1, -2/3, 2
Suppose -w + 3*j = -106, -5*w = -j - 316 - 214. Let p = w + -103. What is v in 2*v**p - 34*v**2 + 34*v**2 + 0*v**3 = 0?
0
Let p(m) be the third derivative of m**6/24 - 31*m**5/4 - 405*m**4/4 - 980*m**3/3 + 2*m**2 + 425*m + 2. Factor p(d).
5*(d - 98)*(d + 1)*(d + 4)
Let g(b) = -b**3 + 5*b**2 + b - 16. Let c be g(4). Let a be ((-9)/3)/((-6)/c). Let 14/9*n**3 + 2/9*n**4 + a*n + 0 + 10/3*n**2 = 0. Calculate n.
-3, -1, 0
Factor -3/5*t**2 + 186/5*t - 2883/5.
-3*(t - 31)**2/5
Let d = -39 - 76. Let b be d/20 - (-35)/5. Factor -b*k**3 + 0*k + 1/2*k**2 - 1/4*k**5 + k**4 + 0.
-k**2*(k - 2)*(k - 1)**2/4
Let p(u) be the first derivative of u**5/5 + u**4/2 - u**3 - 2*u**2 + 4*u + 1153. Determine z so that p(z) = 0.
-2, 1
Let p = 8175721/840 - 9733. Let w(g) be the third derivative of -p*g**6 + 0*g - 8*g**2 + 0 + 1/21*g**3 - 1/140*g**5 + 1/168*g**4 + 1/1470*g**7. Factor w(n).
(n - 2)*(n - 1)*(n + 1)**2/7
Let t(l) be the first derivative of l**4/30 + 46*l**3/45 - 28