3 + 2*i**2 - 3959. Factor b(x).
-4*x*(x - 1)*(x + 1)*(2*x + 1)
Let z(f) be the second derivative of -13*f**5/4 - 5*f**4/4 + 30*f**3 - 50*f**2 + 27*f + 11. Determine o, given that z(o) = 0.
-2, 10/13, 1
Let a(g) = 12*g**2 + 208*g + 328. Let v(r) = 8*r**2 + 138*r + 219. Let f(h) = -5*a(h) + 8*v(h). Let f(c) = 0. Calculate c.
-14, -2
Let u(p) be the third derivative of -1/160*p**6 + 0*p**3 + 9/80*p**5 - 1/4*p**4 + 0*p + 40 + 2*p**2. What is r in u(r) = 0?
0, 1, 8
Let v be 7*(-2)/(-28)*94. Factor 45*x**3 - v*x**2 - 85*x**3 + 90*x - 8*x**2 + 45*x**3.
5*x*(x - 9)*(x - 2)
Let f(v) = -2*v**2 - 4*v + 81. Let n be f(0). Let a(l) be the second derivative of 1/2*l**4 + 9*l**3 + 1/90*l**5 + 0 + 13*l + n*l**2. Factor a(z).
2*(z + 9)**3/9
Suppose 4*b - 57 = 3*m, 293*b - 2*m - 50 = 289*b. Let s be 62/4 - (-2)/(-4). Factor -b + 11 + 40 + 111*u + s*u**2.
3*(u + 7)*(5*u + 2)
Let j(y) = -5*y**2 - y + 2. Let u(f) = 8*f**3 - 2393*f**2 + 188407*f - 630014. Let d(i) = -7*j(i) - u(i). Suppose d(t) = 0. Calculate t.
7/2, 150
Let f be 4/3*74/222. Let h(z) be the first derivative of -24 - 2/9*z**3 + f*z**2 - 1/18*z**4 + 0*z. Factor h(c).
-2*c*(c - 1)*(c + 4)/9
Let w(j) be the second derivative of 1/8*j**4 + 1/80*j**6 + 0 + 1/16*j**5 + 0*j**2 - 11/6*j**3 - 2*j. Let f(l) be the second derivative of w(l). Factor f(o).
3*(o + 1)*(3*o + 2)/2
Let s(t) = -6*t**3 + 26*t**2 - 9*t - 10. Let f(j) = 13*j**2 + 9 - 14 - 3*j**3 - 3 + 2 - 5*j. Let o(r) = 7*f(r) - 3*s(r). Determine c so that o(c) = 0.
-2/3, 2, 3
Let p = -2627 + 2637. Let y(x) be the first derivative of 4*x + 5*x**2 + p + 2*x**3 - 1/2*x**4 - 2/5*x**5. Solve y(f) = 0.
-1, 2
Let o be 35*(-9)/(-45) - 3. Let b be ((-6)/(-32)*o)/(42/140). Let -b*s**3 - 10 - 25/2*s**2 - 20*s = 0. Calculate s.
-2, -1
Suppose 11*f + 71*f + 112*f = 0. Factor 0*r + 0*r**3 + 0 + f*r**2 - 1/3*r**4.
-r**4/3
Let p(a) be the third derivative of 4/105*a**7 - 2/15*a**5 - 1/12*a**8 + 0*a**3 + 7/30*a**6 + 0*a + 0*a**4 + 7*a**2 + 2. Let p(m) = 0. Calculate m.
-1, 0, 2/7, 1
Suppose -40*o + 55*o = -180. Let b(p) = p**3 + 11*p**2 - 14*p - 22. Let i be b(o). Factor 60/7*x**i + 500/7 - 300/7*x - 4/7*x**3.
-4*(x - 5)**3/7
Suppose -4*q - z = -8, q + z + 0*z - 2 = 0. Suppose -32 = -l - 4*l - 4*p, -4*p + 4 = -q*l. Factor 11*t + 8*t**2 - l*t**3 - 7*t - 8*t.
-4*t*(t - 1)**2
Let l(h) be the second derivative of 235*h**5/4 - 4705*h**4/12 + 3545*h**3/6 - 15*h**2/2 + 55*h + 8. Solve l(p) = 0.
1/235, 1, 3
Let b(t) = 44*t**2 - 660*t + 1384. Let l(i) = 8*i**2 - 132*i + 277. Let r(z) = 3*b(z) - 16*l(z). Find h such that r(h) = 0.
-35, 2
Let q = 5 - 2. Suppose -4*l = -q*z - 9, 23*l = 20*l - z + 10. Let 4/9*f**l - 2/9*f**2 + 0 + 2/9*f**4 - 4/9*f = 0. What is f?
-2, -1, 0, 1
Let h = 607 + -603. Factor h*s**2 - 4*s**4 - 59*s**2 - 1397*s + 1525*s - 48 - 61*s**2 + 40*s**3.
-4*(s - 6)*(s - 2)*(s - 1)**2
Let -3*c + 1/3*c**2 + 8/3 = 0. What is c?
1, 8
Let z(l) be the third derivative of l**6/180 - 7*l**5/45 + 11*l**4/12 - 1749*l**2. Determine q, given that z(q) = 0.
0, 3, 11
Let k = 1543 + -925. Let n = k - 618. Find z, given that -2/5*z**4 + n*z + 0 - 4/5*z**2 + 7/5*z**3 - 1/5*z**5 = 0.
-4, 0, 1
Suppose 0 = -10*s + 38 - 38. Let n(r) be the second derivative of -9/8*r**4 - 14*r + 7/4*r**3 + s + 3/2*r**2. Determine c so that n(c) = 0.
-2/9, 1
Let h(t) be the third derivative of 3*t**7/56 + t**6/24 - t**5/3 - 5*t**4/6 - 19*t**3/2 + 2*t**2 - 23*t. Let i(f) be the first derivative of h(f). Factor i(v).
5*(v - 1)*(3*v + 2)**2
Let -5*l**3 + 9*l + 365*l**4 - 366*l**4 - 8*l**2 - 3*l**2 + 8*l**2 = 0. What is l?
-3, 0, 1
Let z(r) be the second derivative of 2*r**6/15 + r**5/5 - 19*r**4 - 2*r**3/3 + 112*r**2 - 394*r. Let z(a) = 0. Calculate a.
-8, -1, 1, 7
Let y(x) = -212*x**2 + 449*x + 262. Let t(q) = -36*q**2 + 74*q + 44. Let p(h) = 13*t(h) - 2*y(h). Let p(d) = 0. Calculate d.
-6/11, 2
Let l(a) = -a**2 - 11*a + 2. Let t be l(-9). Let q = 13 + t. Factor -387*o**2 - 196 + 383*o**2 - q*o - 23*o.
-4*(o + 7)**2
Let d(w) be the third derivative of 0*w - 2/5*w**5 + 6/175*w**7 - 18/5*w**3 - 1 + 1/280*w**8 - 39/20*w**4 + 3/50*w**6 + 168*w**2. Find z, given that d(z) = 0.
-3, -1, 2
Let x be (5 - -42)/((-12)/(-168)). Let h be (9/(-6))/(x/(-77) + 8). Determine r so that h*r - 3/4*r**2 - 3/2 = 0.
2/3, 3
Factor 0*k + 0 + 1/6*k**4 + 141512/3*k**2 + 532/3*k**3.
k**2*(k + 532)**2/6
Let l(q) be the second derivative of -q**4/4 - 53*q**3 - 927*q**2/2 - 159*q. Solve l(y) = 0.
-103, -3
Let c(m) be the first derivative of 9*m**5/5 - 41*m**4/2 + 3*m**3 + 735. Suppose c(t) = 0. What is t?
0, 1/9, 9
Let p(k) be the third derivative of 0*k + 0*k**3 - 1/10*k**6 - 11 + 3/280*k**7 + 9/16*k**4 + 3/16*k**5 - 2*k**2. Find r, given that p(r) = 0.
-2/3, 0, 3
Suppose 16*c - 4*c**3 - 50/3 + 29/6*c**2 - 1/6*c**4 = 0. What is c?
-25, -2, 1, 2
Let l = 679/4 + -169. Let d = 382302 - 382297. Suppose -3/8*z**4 + 1/8*z**d + 9/8 - l*z**3 + 21/8*z + 5/4*z**2 = 0. Calculate z.
-1, 3
Determine p, given that 52/7*p - 37/7*p**4 - 19*p**2 + 4/7*p**5 + 114/7*p**3 + 0 = 0.
0, 1, 13/4, 4
Let z(c) be the first derivative of -c**4/22 - 94*c**3/33 + 48*c**2/11 + 614. Suppose z(w) = 0. What is w?
-48, 0, 1
Let z(d) be the first derivative of -1/2*d**3 - 13 - 1/16*d**4 - 9/8*d**2 + 5*d. Let m(i) be the first derivative of z(i). Determine q, given that m(q) = 0.
-3, -1
Suppose -90*x + 260 = -190. Suppose x*o + 0*b = -b - 5, 25 = -5*b. Solve o + 5/2*k**2 + 3*k**3 + 0*k + 1/2*k**4 = 0.
-5, -1, 0
Let x = -855 - -903. Suppose 8*t + 32 = x. Determine h so that 1/3*h**t + 0*h + 0 - 1/6*h**4 + 1/6*h**3 = 0.
-1, 0, 2
Let y(u) be the second derivative of -u**4/6 - 20*u**3 - 59*u**2 - 59*u - 1. Factor y(k).
-2*(k + 1)*(k + 59)
Let g(l) be the first derivative of l**6/54 - 8*l**5/45 + 7*l**4/12 - 22*l**3/27 + 4*l**2/9 - 2862. Factor g(j).
j*(j - 4)*(j - 2)*(j - 1)**2/9
Let g(u) = 2*u**3 + 121*u**2 + 233*u + 126. Let h(n) = n**3 - n**2 - 6*n. Let o(t) = 2*g(t) - 6*h(t). Find z such that o(z) = 0.
-1, 126
Let g = 176909 - 176909. Find z, given that 0 - 2/5*z**4 + 0*z + 8/5*z**2 + g*z**3 = 0.
-2, 0, 2
Suppose 22 = 36*v - 122. Let q(j) be the second derivative of -1/147*j**7 + 0 + 0*j**5 + 0*j**2 + 1/21*j**v - 18*j + 1/21*j**3 - 2/105*j**6. Solve q(i) = 0.
-1, 0, 1
Let o(j) be the second derivative of j**7/168 + j**6/60 - 9*j**5/20 - j**4/24 + 35*j**3/24 - 13155*j. Suppose o(w) = 0. What is w?
-7, -1, 0, 1, 5
Let w = 7478 - 7472. Let h(o) be the second derivative of -4/5*o**5 - 8*o + 0*o**2 + 2/3*o**4 + 1/3*o**w + 0*o**3 + 0 - 1/21*o**7. Solve h(m) = 0.
0, 1, 2
Let k be (-2264568)/(-88) - (-10)/(-55)*1. Let g = k - 25679. Factor 234*y**2 - 1380/11*y**3 + 150/11*y**4 + g + 2760/11*y.
6*(y - 5)**2*(5*y + 2)**2/11
Let o(f) = 3*f**3 - 11*f**2 + 84*f + 574. Let r(h) = 8*h**3 - 24*h**2 + 170*h + 1147. Let j(u) = 5*o(u) - 2*r(u). Factor j(n).
-(n - 9)*(n + 8)**2
Let l(v) be the first derivative of -6962*v - 2/3*v**3 + 118*v**2 - 48. Let l(g) = 0. What is g?
59
Let h(o) = -3*o**2 + 19*o - 86. Suppose -24*d = -1697 + 377. Let j(p) = 40*p**2 - 265*p + 1205. Let v(z) = d*h(z) + 4*j(z). Solve v(a) = 0 for a.
-6, 3
Let o(t) be the first derivative of t**6/2 - 27*t**5/5 - 87*t**4/4 + 69*t**3 + 150*t**2 - 396*t + 2196. Let o(b) = 0. Calculate b.
-3, -2, 1, 2, 11
Let n = -218 - -237. Factor 18*q**2 - n*q**2 - 4 - 6*q - 5.
-(q + 3)**2
Suppose -48 + 14/3*t**2 + 4*t - 2/3*t**3 = 0. Calculate t.
-3, 4, 6
Factor 52 - t**2 - 260 + 0*t**2 + 124 + 25*t.
-(t - 21)*(t - 4)
Determine n, given that -33*n - 64*n**2 - 78 - 69*n**2 + 212*n**2 - 76*n**2 = 0.
-2, 13
Let y(z) be the third derivative of z**9/483840 - 19*z**8/80640 + 2*z**5/3 + 8*z**2. Let a(i) be the third derivative of y(i). Factor a(s).
s**2*(s - 38)/8
Let d(x) be the third derivative of 73*x**2 + 1/14*x**7 + 5/24*x**6 + 0*x**3 + 0*x**4 + 0 + 1/6*x**5 + 0*x. Let d(h) = 0. What is h?
-1, -2/3, 0
Let c(o) = o**3 + 21*o**2 + 93*o - 185. Let p be c(-11). Solve 8*g**p + 0 - 76/7*g**3 + 48/7*g + 4/7*g**5 + 10/7*g**4 = 0 for g.
-6, -1/2, 0, 2
Let z(h) be the first derivative of 25*h**4/16 + 16*h**3/3 + 53*h**2/8 + 7*h/2 - 1478. Factor z(b).
(b + 1)**2*(25*b + 14)/4
Solve 2887*s**4 - 309*s - 1014*s**4 - 24*s**3 + 405*s**2 - 991*s**4 + 66 - 1038*s**4 = 0.
-2, 1/2, 11/13
Let v(s) be the third derivative of s**6/80 - 34*s**5/15 + 2085*s**