3*j + 25/18*j**3. Determine b so that y(b) = 0.
-1, -1/3, 1/4, 1, 2
Let w = -3908 + 31267/8. Let f(a) be the first derivative of -16 + w*a**2 + 3/16*a**4 - 5/6*a**3 + 0*a. Solve f(j) = 0.
0, 1/3, 3
Let v(l) be the third derivative of 1 + 6*l**2 - 3/20*l**6 + 0*l + 13/30*l**5 + 7/3*l**4 + 4*l**3 - 1/21*l**7 + 1/168*l**8. Find b such that v(b) = 0.
-1, 2, 6
Let o(z) be the first derivative of -1/18*z**4 - 10/3*z**3 - 750*z + 84 - 75*z**2. Determine q, given that o(q) = 0.
-15
Suppose -v + 9 = -9*b + 13*b, -b = 2*v - 11. Let m(t) be the second derivative of 16*t + 0 - 5/12*t**4 + v*t**3 - 45/2*t**2. Let m(g) = 0. Calculate g.
3
Let v(x) be the first derivative of 50/3*x**3 + 314 - 105/2*x**2 + 0*x - 5/4*x**4. Determine b so that v(b) = 0.
0, 3, 7
Let a(j) be the first derivative of 3*j**4/8 + 54*j**3 + 2187*j**2 + 1252. Suppose a(g) = 0. What is g?
-54, 0
Let b(j) = j**3 + 25*j**2 - 22*j - 36. Let a be b(-27). Let d = -898 - a. Factor -1 - 1/2*g**d + 3/2*g.
-(g - 2)*(g - 1)/2
Factor 748*x**3 - 188*x**2 - 736*x**4 - 36210*x**5 - 36230*x**5 + 72424*x**5.
-4*x**2*(x + 47)*(2*x - 1)**2
Let m(b) = b**2 - 37*b - 80. Let t be m(39). Let j be -2*((-12)/t + -8). Find q such that 7/3*q**5 - 4*q**j + 0*q + 0 + 2/3*q**2 + q**3 = 0.
-2/7, 0, 1
Let n(i) be the third derivative of -i**5/100 + 4*i**4 - 155*i**3/2 - 1965*i**2 + 2. Suppose n(v) = 0. What is v?
5, 155
Let c(w) be the second derivative of 7*w**5/40 - 67*w**4/24 + 5*w**3 + 2297*w. Factor c(x).
x*(x - 1)*(7*x - 60)/2
Let z = 1 + -1. Suppose -4*y - 17 = -m, 5*y - 1605*m + 1610*m = 85. Factor -5*p**2 + y + z*p - 5/3*p**3.
-5*p**2*(p + 3)/3
Let l(q) be the first derivative of -1/4*q**2 + 32 + 1/18*q**3 + 1/3*q. Suppose l(k) = 0. Calculate k.
1, 2
Suppose 15*t = 561 - 501. Let k(i) be the second derivative of -2*i**2 - 14*i + 1/2*i**3 + 0 + 1/12*i**t. Factor k(n).
(n - 1)*(n + 4)
Factor -2619319 + 2618979 + 1000*y - 751*y**2 + 46*y**2 - 45*y**3.
-5*(y + 17)*(3*y - 2)**2
Let r = -1932 + 1932. Suppose 45*f - 154 + 64 = r. Solve 5/4*m - 1 - 1/4*m**f = 0.
1, 4
Let w(f) = 10*f**2 + 1946*f + 1200. Let o be w(-194). Find v, given that -o - 1/4*v**2 + 6*v = 0.
12
Factor 0 + 1286/3*r + 430*r**3 + 2/3*r**4 + 858*r**2.
2*r*(r + 1)**2*(r + 643)/3
Let a be ((-456)/(-304))/((-9)/(-192) - 0). Let s(n) be the first derivative of -1/6*n**3 + 24 - a*n + 4*n**2. Determine u so that s(u) = 0.
8
Let k = 29/186 + -67/496. Let v(u) be the second derivative of -1/4*u**2 - k*u**4 + 1/8*u**3 + 0 - 45*u. Factor v(h).
-(h - 2)*(h - 1)/4
Let l(j) be the first derivative of 2*j**3/21 - 15*j**2 - 1090. Solve l(u) = 0.
0, 105
Let p(w) be the second derivative of w**5/5 + 10*w**4 - 266*w**3/3 + 204*w**2 + 1615*w. Find f such that p(f) = 0.
-34, 1, 3
Let k = 8 - 5. Factor 2*c + 1 + 3 - 4*c**2 - 11781*c**3 + 11779*c**k.
-2*(c - 1)*(c + 1)*(c + 2)
Let o = -803/260 + 47/15. Let q(a) be the third derivative of 0*a + 0 - 1/780*a**6 + 4/39*a**3 + 1/195*a**5 - 23*a**2 + o*a**4. Factor q(l).
-2*(l - 4)*(l + 1)**2/13
Let o(w) be the second derivative of -w**6/420 + w**5/105 + w**4/28 + 46*w**2 + w + 20. Let a(m) be the first derivative of o(m). Suppose a(y) = 0. Calculate y.
-1, 0, 3
Let c(x) = 585*x**4 - 1990*x**3 + 1525*x**2 - 165*x. Let r(l) = -53*l**4 + 181*l**3 - 139*l**2 + 15*l. Let m(w) = 4*c(w) + 45*r(w). Factor m(h).
-5*h*(h - 3)*(h - 1)*(9*h - 1)
Suppose -2*c - 275 = -281. Let l = 5/157 - -1859/785. What is z in 2/5*z**c + 16/5 + 24/5*z + l*z**2 = 0?
-2
Suppose -10*a = 14*a - 48. Let p be (-4 - -2 - -5)/1. Find r such that -5*r**p + 10*r**a + 15*r + 34 - 34 = 0.
-1, 0, 3
Let o = -6103 + 6103. Let a(v) be the first derivative of 1/10*v**5 + 0*v**4 + o*v - 19 + 0*v**3 + 0*v**2 + 1/12*v**6. Suppose a(n) = 0. Calculate n.
-1, 0
Let b = -47 + 43. Let g be 3 - (-2 - -1*(-16)/b). Let t(x) = -x**2 - 1. Let z(f) = -15*f**2 + 10*f - 15. Let a(i) = g*z(i) - 20*t(i). Let a(u) = 0. Calculate u.
-1
Let d = -311 - -311. Let k be 21/6*32/56. Determine u so that 32/5*u**3 - 4/5*u + d - 18/5*u**4 - k*u**2 = 0.
-2/9, 0, 1
Let b(g) be the first derivative of -1058/3*g - 71 + 23/3*g**2 - 1/18*g**3. Suppose b(a) = 0. Calculate a.
46
Let o(s) be the first derivative of -8*s + 192/7*s**2 + 38 - 30*s**3 - 7/2*s**4. Factor o(p).
-2*(p + 7)*(7*p - 2)**2/7
Let c = -6359525/11 + 578143. Factor 2/11*x**3 - c*x**2 - 44 + 30*x.
2*(x - 11)**2*(x - 2)/11
Let a(d) be the first derivative of 48*d**2 + 36*d + 27*d**3 - 76 + 21/4*d**4. Factor a(t).
3*(t + 1)*(t + 2)*(7*t + 6)
Suppose -65*h - 31/2*h**2 - 66 + 1/4*h**3 = 0. What is h?
-2, 66
Let q be (-2)/(16/36) - (-2 + -7). Let j(u) be the first derivative of u**3 - 16 + 6*u + q*u**2. Find b, given that j(b) = 0.
-2, -1
Let m(q) be the third derivative of q**6/150 - 103*q**5/75 + 767*q**4/30 - 266*q**3/3 - 85*q**2 - 28*q. Determine c, given that m(c) = 0.
1, 7, 95
Let o(c) = -21*c**3 + 227*c**2 + 68*c + 4. Let g(b) = b**2 + b + 2. Let w(f) = 2*g(f) - o(f). Let w(k) = 0. What is k?
-2/7, 0, 11
Let l(f) be the second derivative of -2*f - 1/10*f**5 + 1/2*f**4 - 4*f**2 + 0*f**3 + 5. Suppose l(b) = 0. What is b?
-1, 2
Let n = 22 + -24. Let w be 6 + (n - -3) - 1. Find z such that -w*z**4 + 6*z - 3*z - 1 + 1 - 9*z**3 = 0.
-1, 0, 1/2
Let f(s) = 12*s + 303. Let d be f(-24). Let g(t) be the second derivative of 11/54*t**4 - 2/9*t**2 - 1/3*t**3 - d*t + 0. Factor g(q).
2*(q - 1)*(11*q + 2)/9
Let c = -207617 - -1868569/9. Factor 1/9*p**5 + c*p**4 + 4/3 + 49/9*p + 76/9*p**2 + 6*p**3.
(p + 1)**4*(p + 12)/9
What is j in -4/5*j**3 + 16/5*j**4 + 2/5*j + 2/5*j**5 + 16/5 - 32/5*j**2 = 0?
-8, -1, 1
Let z(k) be the third derivative of k**7/90 + 17*k**6/36 + 289*k**5/60 + 19*k**4 + 18*k**3 - 37*k**2 + 8. Let z(j) = 0. Calculate j.
-18, -3, -2/7
Let j(h) be the second derivative of h**6/10 + 21*h**5/2 + 34*h**4 + 11*h + 154. Let j(p) = 0. What is p?
-68, -2, 0
Let r(x) be the first derivative of -1/30*x**3 - 168 + 3/2*x**2 + 31/10*x. Let r(c) = 0. What is c?
-1, 31
Let i(k) = 33*k + 6540. Let f be i(-198). Let o(d) be the first derivative of -1/12*d**f + 0*d**4 + 0*d**2 + 1/10*d**5 + 42 + 0*d + 0*d**3. Factor o(a).
-a**4*(a - 1)/2
Let c be 6/(-5)*141/(-2)*5. Suppose 3*d - c = -4*f, -2*f - 4*d + 273 = 49. Let 50*k + 49*k - f*k + k**3 + 2 = 0. Calculate k.
-2, 1
Let o(i) = -3. Let t(p) = 3*p**2 - 18*p + 39. Let a be 19/38*(-3)/(12/8). Let x(h) = a*t(h) - 5*o(h). Find l, given that x(l) = 0.
2, 4
Let z(j) be the second derivative of 2*j**5/45 - 11*j**4/9 + 121*j**3/9 + 14*j**2 - 43*j + 1. Let x(h) be the first derivative of z(h). Factor x(p).
2*(2*p - 11)**2/3
Let i(z) = -2*z + 60. Let d be i(-10). Factor -35*f**2 - 8 + 6 - 14 + d*f - 4.
-5*(f - 2)*(7*f - 2)
Let z = 539233/220 + -34883/20. Let g(u) be the first derivative of -2592/11*u**2 - 6/55*u**5 + 11 - 36/11*u**4 - 432/11*u**3 - z*u. Factor g(a).
-6*(a + 6)**4/11
Let l(w) be the second derivative of w**7/42 + 83*w**6/100 + 297*w**5/25 + 441*w**4/5 + 1728*w**3/5 + 2916*w**2/5 + 63*w - 5. Factor l(y).
(y + 6)**4*(10*y + 9)/10
Let r(w) = -w**3 + 10*w**2 - 24*w + 3. Let g be r(3). Let d be (3/(-12))/(g - 475/(-80)). Solve 4/3*p**5 - d*p**3 + 0 + 0*p + 0*p**4 + 8/3*p**2 = 0 for p.
-2, 0, 1
Let f(r) be the first derivative of -r**5/10 - 8*r**4/3 - 64*r**3/3 + 68*r + 46. Let b(s) be the first derivative of f(s). Factor b(m).
-2*m*(m + 8)**2
Let z(i) be the first derivative of -52*i**5 + 321 - 21*i**4 - 2*i**3 - 2*i**3 + 4*i**2 - 6*i**6 + 32*i**5. Suppose z(c) = 0. Calculate c.
-1, 0, 2/9
Suppose 3*p - 6 = -0*p + 3*j, p = 2*j + 2. Suppose 2*y = 5*y - 6. Solve n**p - 2 - 1 + 3*n - 3 + y*n**2 = 0 for n.
-2, 1
Determine l so that 7/3*l**4 - 25/6*l**3 + 58/3*l - 1/6*l**5 - 50/3*l**2 + 88/3 = 0.
-2, -1, 2, 4, 11
Let j = -9062069 + 63542783/7. Factor -162901250/7 - j*l**2 - 6859000/7*l - 2/7*l**4 - 760/7*l**3.
-2*(l + 95)**4/7
Let u = 668 + -664. Let r(j) be the first derivative of u*j**2 - 2*j + 2/3*j**3 - 2*j**4 + 21. Find p, given that r(p) = 0.
-1, 1/4, 1
Factor 21 - 205 - 644 + 211*u**2 + 15333*u - 826*u**2 - 21*u**3 - 18405*u.
-3*(u + 6)*(u + 23)*(7*u + 2)
Let a(f) be the second derivative of -3/50*f**5 + 12 + 1/75*f**6 + 1/30*f**4 + f + 1/5*f**3 - 2/5*f**2. Factor a(d).
2*(d - 2)*(d - 1)**2*(d + 1)/5
Suppose 4*k = 6*k - 36. Factor 2*n**4 + 2*n**5 + k*n - 54*n + 36*n.
2*n**4*(n + 1)
Suppose 0 = 52*f